Finite Group Databasebeta

← C151×#24641 #50329566

Subgroups — C151×#24641 #50329566

Order 38656.

842 conjugacy classes of subgroups.

The subgroup lattice has 674 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#464×C151C211yesmaximal, characteristic
2C2×#441×C151C211yesmaximal, characteristic, complemented
3#2545×C151C211yesmaximal, characteristic
4#2355×C151C211yesmaximal, characteristic, complemented
5#2056×C151C211yesmaximal, characteristic, complemented
6#2055×C151C211yesmaximal, characteristic
7#2016×C151C211yesmaximal, characteristic, complemented
8#2015×C151C211yesmaximal, characteristic
9#1983×C151C211yesmaximal, characteristic
10#1981×C151C211yesmaximal, characteristic, complemented
11#1959×C151C211yesmaximal, characteristic
12#1940×C151C211yesmaximal, characteristic, complemented
13#1927×C151C211yesmaximal, characteristic, complemented
14#1926×C151C211yesmaximal, characteristic
15#1803×C151C211yesmaximal, characteristic, complemented
16C22×Q16×C151C2211yescharacteristic
17C22×Q16×C151C2211yescharacteristic
18C22×SD16×C151C2211yescharacteristic
19C2×C4⋊Q8×C151C2211yescharacteristic
20C2×#124×C151C2211yescharacteristic
21C2×#124×C151C2211yescharacteristic
22C2×C4×Q8×C151C2211yescharacteristic
23C2×C4×Q8×C151C2211yescharacteristic
24#464×C151—24no—
25#441×C151—24no—
26C2×#106×C151C2211yescharacteristic
27C2×C4⋊C8×C151C2211yescharacteristic
28C2×C4⋊C8×C151C2211yescharacteristic
29C2×C4⋊C8×C151C2211yescharacteristic
30C2×#103×C151C2211yescharacteristic
31C2×#103×C151C2211yescharacteristic
32C2×#103×C151C2211yescharacteristic
33C2×#103×C151C2211yescharacteristic
34C2×#103×C151C2211yescharacteristic
35C2×#103×C151C2211yescharacteristic
36C2×#103×C151C2211yescharacteristic
37C2×#102×C151C2211yescharacteristic
38C2×#102×C151C2211yescharacteristic
39C2×#102×C151C2211yescharacteristic
40C2×#97×C151C2211yescharacteristic
41#396×C151—21no—
42#396×C151—21no—
43#391×C151C2211yescharacteristic
44#391×C151C2211yescharacteristic
45#391×C151C2211yescharacteristic
46#390×C151C2211yescharacteristic
47#388×C151—21no—
48#388×C151—21no—
49#387×C151—21no—
50#387×C151—21no—
51#384×C151C2211yescharacteristic
52#382×C151—21no—
53C4×C4⋊C4×C151—21no—
54C4×C4⋊C4×C151C2211yescharacteristic
55C4×C4⋊C4×C151C2211yescharacteristic
56C4×C4⋊C4×C151C2211yescharacteristic
57#340×C151C2211yescharacteristic
58#340×C151C2211yescharacteristic
59#336×C151C2211yescharacteristic
60#336×C151C2211yescharacteristic
61C22×Q8×C151C2311yescharacteristic
62C22×Q8×C151C2311yescharacteristic
63C22×Q8×C151C2311yescharacteristic
64C22×D4×C151C2311yescharacteristic
65C2×Q16×C151—22no—
66C2×Q16×C151—22no—
67C2×Q16×C151—22no—
68C2×Q16×C151—22no—
69C2×Q16×C151—41no—
70C2×Q16×C151—41no—
71C2×SD16×C151—22no—
72C2×SD16×C151—41no—
73C2×SD16×C151—41no—
74C22×C8×C151C2311yescharacteristic
75C22×C8×C151C2311yescharacteristic
76C22×C8×C151C2311yescharacteristic
77C22×C8×C151C2311yescharacteristic
78C4⋊Q8×C151—22no—
79C4⋊Q8×C151—41no—
80#124×C151—22no—
81#124×C151—22no—
82#124×C151—22no—
83#124×C151—41no—
84C4×Q8×C151—22no—
85C4×Q8×C151—22no—
86C4×Q8×C151—22no—
87C4×Q8×C151D414yes—
88C2×C4⋊C4×C151—21no—
89C2×C4⋊C4×C151—21no—
90C2×C4⋊C4×C151—21no—
91C2×C4⋊C4×C151—21no—
92C2×C4⋊C4×C151—21no—
93C2×C4⋊C4×C151—21no—
94C2×C4⋊C4×C151D411yescharacteristic
95C2×C4⋊C4×C151D411yescharacteristic
96C2×C4⋊C4×C151C2311yescharacteristic
97C2×C4⋊C4×C151C2311yescharacteristic
98C2×C4⋊C4×C151C2311yescharacteristic
99C2×C4⋊C4×C151C2311yescharacteristic
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×C42×C151—21no—
107C2×C42×C151—21no—
108C2×C42×C151—21no—
109C2×C42×C151—21no—
110C2×C42×C151C2311yescharacteristic
111C2×C42×C151C2311yescharacteristic
112C2×C42×C151C2311yescharacteristic
113#106×C151—22no—
114C4⋊C8×C151—22no—
115C4⋊C8×C151—41no—
116C4⋊C8×C151—41no—
117#103×C151—22no—
118#103×C151—22no—
119#103×C151—22no—
120#103×C151—22no—
121#103×C151—41no—
122#103×C151—41no—
123#103×C151—41no—
124#102×C151—22no—
125#102×C151—22no—
126#102×C151—41no—
127#97×C151—22no—
128#95×C151—21no—
129#95×C151—21no—
130#95×C151—21no—
131#95×C151—21no—
132#95×C151—21no—
133#95×C151—21no—
134#95×C151—21no—
135#95×C151—21no—
136#95×C151D411yescharacteristic
137#95×C151D411yescharacteristic
138C24×C151—21no—
139C2×Q8×C151—21no—
140C2×Q8×C151—21no—
141C2×Q8×C151—21no—
142C2×Q8×C151—21no—
143C2×Q8×C151—21no—
144C2×Q8×C151—21no—
145C2×Q8×C151—21no—
146C2×Q8×C151—21no—
147C2×Q8×C151—21no—
148C2×Q8×C151—21no—
149C2×Q8×C151—21no—
150C2×Q8×C151—21no—
151C2×Q8×C151—21no—
152C2×Q8×C151—21no—
153C2×Q8×C151—21no—
154C2×Q8×C151—21no—
155C2×Q8×C151C2×D412yes—
156C2×Q8×C151#4112yes—
157C2×D4×C151—21no—
158C2×D4×C151—21no—
159C2×D4×C151—21no—
160C2×D4×C151—21no—
161C2×D4×C151—21no—
162C2×D4×C151—21no—
163C22×C4×C151—21no—
164C22×C4×C151—21no—
165C22×C4×C151—21no—
166C22×C4×C151—21no—
167C22×C4×C151—21no—
168C22×C4×C151—21no—
169C22×C4×C151—21no—
170C22×C4×C151C2×D411yescharacteristic
171C22×C4×C151C2×D411yescharacteristic
172C22×C4×C151C2×D411yescharacteristic
173C22×C4×C151C2×D411yescharacteristic
174C22×C4×C151C2×D411yescharacteristic
175C22×C4×C151C2×D411yescharacteristic
176C22×C4×C151C2411yescharacteristic
177Q16×C151—28no—
178Q16×C151—44no—
179SD16×C151—44no—
180C2×C8×C151—21no—
181C2×C8×C151—21no—
182C2×C8×C151—21no—
183C2×C8×C151—21no—
184C2×C8×C151—21no—
185C2×C8×C151—21no—
186C2×C8×C151—21no—
187C2×C8×C151—21no—
188C2×C8×C151—21no—
189C2×C8×C151—21no—
190C2×C8×C151—21no—
191C2×C8×C151#4112yes—
192C4⋊C4×C151—24no—
193C4⋊C4×C151—22no—
194C4⋊C4×C151—21no—
195C4⋊C4×C151—21no—
196C4⋊C4×C151—21no—
197C4⋊C4×C151—21no—
198C4⋊C4×C151—21no—
199C4⋊C4×C151—21no—
200C4⋊C4×C151—21no—
201C4⋊C4×C151—41no—
202C4⋊C4×C151—42no—
203C4⋊C4×C151—42no—
204C4⋊C4×C151—42no—
205C4⋊C4×C151—42no—
206C4⋊C4×C151—81no—
207C4⋊C4×C151C2×D412yes—
208C22⋊C4×C151—42no—
209C22⋊C4×C151—42no—
210C22⋊C4×C151—42no—
211C22⋊C4×C151—42no—
212C22⋊C4×C151—42no—
213C22⋊C4×C151—42no—
214C42×C151—24no—
215C42×C151—21no—
216C42×C151—21no—
217C42×C151—21no—
218C42×C151—21no—
219C42×C151—42no—
220C42×C151—81no—
221C42×C151—81no—
222C42×C151C2×D412yes—
223C42×C151#4112yes—
224C23×C151—41no—
225C23×C151—41no—
226C23×C151—41no—
227C23×C151—41no—
228C23×C151—41no—
229C23×C151—41no—
230C23×C151—41no—
231C23×C151C22×D411yescharacteristic
232Q8×C151—22no—
233Q8×C151—22no—
234Q8×C151—22no—
235Q8×C151—22no—
236Q8×C151—41no—
237Q8×C151—41no—
238Q8×C151—41no—
239Q8×C151—41no—
240Q8×C151—41no—
241Q8×C151—41no—
242Q8×C151—41no—
243Q8×C151—41no—
244D4×C151—41no—
245D4×C151—41no—
246D4×C151—41no—
247D4×C151—41no—
248C2×C4×C151—21no—
249C2×C4×C151—21no—
250C2×C4×C151—21no—
251C2×C4×C151—21no—
252C2×C4×C151—21no—
253C2×C4×C151—21no—
254C2×C4×C151—22no—
255C2×C4×C151—22no—
256C2×C4×C151—22no—
257C2×C4×C151—21no—
258C2×C4×C151—21no—
259C2×C4×C151—21no—
260C2×C4×C151—21no—
261C2×C4×C151—21no—
262C2×C4×C151—21no—
263C2×C4×C151—21no—
264C2×C4×C151—21no—
265C2×C4×C151—21no—
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—41no—
273C2×C4×C151—41no—
274C2×C4×C151—41no—
275C2×C4×C151—41no—
276C2×C4×C151—41no—
277C2×C4×C151—41no—
278C2×C4×C151—41no—
279C2×C4×C151—41no—
280C2×C4×C151—41no—
281C2×C4×C151—41no—
282C2×C4×C151—41no—
283C2×C4×C151—41no—
284C2×C4×C151#12112yes—
285C2×C4×C151#12112yes—
286C2×C4×C151#13712yes—
287C2×C4×C151C22×D411yescharacteristic
288C2×C4×C151C2×#4111yescharacteristic
289C2×C4×C151C2×#4111yescharacteristic
290C2×C4×C151C2×#4111yescharacteristic
291C2×C4×C151H(5,𝔽2)11yescharacteristic
292C2×C4×C151H(5,𝔽2)11yescharacteristic
293C8×C151—22no—
294C8×C151—41no—
295C8×C151—41no—
296C8×C151—41no—
297C22×C151—81no—
298C22×C151—81no—
299C22×C151—81no—
300C22×C151—81no—
301C22×C151—81no—
302C22×C151—81no—
303C22×C151—81no—
304C22×C151C2×#12111yescharacteristic
305C22×C151#54611yescharacteristic
306C22×C151#55011yescharacteristic
307C22×C151C2×#13711yescharacteristic
308C22×C151#57511yescharacteristic
309C22×C151#57711yescharacteristic
310C22×C151#57811yescharacteristic
311C4×C151—22no—
312C4×C151—22no—
313C4×C151—22no—
314C4×C151—42no—
315C4×C151—42no—
316C4×C151—42no—
317C4×C151—41no—
318C4×C151—41no—
319C4×C151—41no—
320C4×C151—81no—
321C4×C151—81no—
322C4×C151—81no—
323C4×C151—81no—
324C4×C151#52511yescharacteristic
325C4×C151#53511yescharacteristic
326C4×C151#55311yescharacteristic
327C4×C151#55511yescharacteristic
328C2×C151—161no—
329C2×C151#241411yescharacteristic
330C2×C151#303711yescharacteristic
331C2×C151#304611yescharacteristic
332C2×C151#331311yescharacteristic
333C2×C151#331611yescharacteristic
334C2×C151#339811yescharacteristic
335C2×C151#340111yescharacteristic
336#24641C15111yesmaximal, characteristic, direct product factor, Sylow
337C151#2464111yescharacteristic, direct product factor, Sylow
338C2×#464C2×C15111yescharacteristic
339C2×#441C2×C15111yescharacteristic, complemented
340#2545C2×C15111yescharacteristic
341#2355C2×C15111yescharacteristic, complemented
342#2056C2×C15111yescharacteristic, complemented
343#2055C2×C15111yescharacteristic
344#2016C2×C15111yescharacteristic, complemented
345#2015C2×C15111yescharacteristic
346#1983C2×C15111yescharacteristic
347#1981C2×C15111yescharacteristic, complemented
348#1959C2×C15111yescharacteristic
349#1940C2×C15111yescharacteristic, complemented
350#1927C2×C15111yescharacteristic, complemented
351#1926C2×C15111yescharacteristic
352#1803C2×C15111yescharacteristic, complemented
353C22×Q16C22×C15111yescharacteristic
354C22×Q16C22×C15111yescharacteristic
355C22×SD16C22×C15111yescharacteristic
356C2×C4⋊Q8C22×C15111yescharacteristic
357C2×#124C22×C15111yescharacteristic
358C2×#124C22×C15111yescharacteristic
359C2×C4×Q8C22×C15111yescharacteristic
360C2×C4×Q8C22×C15111yescharacteristic
361#464—24no—
362#441—24no—
363C2×#106C22×C15111yescharacteristic
364C2×C4⋊C8C22×C15111yescharacteristic
365C2×C4⋊C8C22×C15111yescharacteristic
366C2×C4⋊C8C22×C15111yescharacteristic
367C2×#103C22×C15111yescharacteristic
368C2×#103C22×C15111yescharacteristic
369C2×#103C22×C15111yescharacteristic
370C2×#103C22×C15111yescharacteristic
371C2×#103C22×C15111yescharacteristic
372C2×#103C22×C15111yescharacteristic
373C2×#103C22×C15111yescharacteristic
374C2×#102C22×C15111yescharacteristic
375C2×#102C22×C15111yescharacteristic
376C2×#102C22×C15111yescharacteristic
377C2×#97C22×C15111yescharacteristic
378#396—21no—
379#396—21no—
380#391C22×C15111yescharacteristic
381#391C22×C15111yescharacteristic
382#391C22×C15111yescharacteristic
383#390C22×C15111yescharacteristic
384#388—21no—
385#388—21no—
386#387—21no—
387#387—21no—
388#384C22×C15111yescharacteristic
389#382—21no—
390C4×C4⋊C4—21no—
391C4×C4⋊C4C22×C15111yescharacteristic
392C4×C4⋊C4C22×C15111yescharacteristic
393C4×C4⋊C4C22×C15111yescharacteristic
394#340C22×C15111yescharacteristic
395#340C22×C15111yescharacteristic
396#336C22×C15111yescharacteristic
397#336C22×C15111yescharacteristic
398C22×Q8C23×C15111yescharacteristic
399C22×Q8C23×C15111yescharacteristic
400C22×Q8C23×C15111yescharacteristic
401C22×D4C23×C15111yescharacteristic
402C2×Q16—22no—
403C2×Q16—22no—
404C2×Q16—22no—
405C2×Q16—22no—
406C2×Q16—41no—
407C2×Q16—41no—
408C2×SD16—22no—
409C2×SD16—41no—
410C2×SD16—41no—
411C22×C8C23×C15111yescharacteristic
412C22×C8C23×C15111yescharacteristic
413C22×C8C23×C15111yescharacteristic
414C22×C8C23×C15111yescharacteristic
415C4⋊Q8—22no—
416C4⋊Q8—41no—
417#124—22no—
418#124—22no—
419#124—22no—
420#124—41no—
421C4×Q8—22no—
422C4×Q8—22no—
423C4×Q8—22no—
424C4×Q8D4×C15114yes—
425C2×C4⋊C4—21no—
426C2×C4⋊C4—21no—
427C2×C4⋊C4—21no—
428C2×C4⋊C4—21no—
429C2×C4⋊C4—21no—
430C2×C4⋊C4—21no—
431C2×C4⋊C4D4×C15111yescharacteristic
432C2×C4⋊C4D4×C15111yescharacteristic
433C2×C4⋊C4C23×C15111yescharacteristic
434C2×C4⋊C4C23×C15111yescharacteristic
435C2×C4⋊C4C23×C15111yescharacteristic
436C2×C4⋊C4C23×C15111yescharacteristic
437C2×C22⋊C4—21no—
438C2×C22⋊C4—21no—
439C2×C22⋊C4—21no—
440C2×C22⋊C4—21no—
441C2×C22⋊C4—21no—
442C2×C22⋊C4—21no—
443C2×C42—21no—
444C2×C42—21no—
445C2×C42—21no—
446C2×C42—21no—
447C2×C42C23×C15111yescharacteristic
448C2×C42C23×C15111yescharacteristic
449C2×C42C23×C15111yescharacteristic
450#106—22no—
451C4⋊C8—22no—
452C4⋊C8—41no—
453C4⋊C8—41no—
454#103—22no—
455#103—22no—
456#103—22no—
457#103—22no—
458#103—41no—
459#103—41no—
460#103—41no—
461#102—22no—
462#102—22no—
463#102—41no—
464#97—22no—
465#95—21no—
466#95—21no—
467#95—21no—
468#95—21no—
469#95—21no—
470#95—21no—
471#95—21no—
472#95—21no—
473#95D4×C15111yescharacteristic
474#95D4×C15111yescharacteristic
475C24—21no—
476C2×Q8—21no—
477C2×Q8—21no—
478C2×Q8—21no—
479C2×Q8—21no—
480C2×Q8—21no—
481C2×Q8—21no—
482C2×Q8—21no—
483C2×Q8—21no—
484C2×Q8—21no—
485C2×Q8—21no—
486C2×Q8—21no—
487C2×Q8—21no—
488C2×Q8—21no—
489C2×Q8—21no—
490C2×Q8—21no—
491C2×Q8—21no—
492C2×Q8C2×D4×C15112yes—
493C2×Q8#41×C15112yes—
494C2×D4—21no—
495C2×D4—21no—
496C2×D4—21no—
497C2×D4—21no—
498C2×D4—21no—
499C2×D4—21no—
500C22×C4—21no—
501C22×C4—21no—
502C22×C4—21no—
503C22×C4—21no—
504C22×C4—21no—
505C22×C4—21no—
506C22×C4—21no—
507C22×C4C2×D4×C15111yescharacteristic
508C22×C4C2×D4×C15111yescharacteristic
509C22×C4C2×D4×C15111yescharacteristic
510C22×C4C2×D4×C15111yescharacteristic
511C22×C4C2×D4×C15111yescharacteristic
512C22×C4C2×D4×C15111yescharacteristic
513C22×C4C24×C15111yescharacteristic
514Q16—28no—
515Q16—44no—
516SD16—44no—
517C2×C8—21no—
518C2×C8—21no—
519C2×C8—21no—
520C2×C8—21no—
521C2×C8—21no—
522C2×C8—21no—
523C2×C8—21no—
524C2×C8—21no—
525C2×C8—21no—
526C2×C8—21no—
527C2×C8—21no—
528C2×C8#41×C15112yes—
529C4⋊C4—24no—
530C4⋊C4—22no—
531C4⋊C4—21no—
532C4⋊C4—21no—
533C4⋊C4—21no—
534C4⋊C4—21no—
535C4⋊C4—21no—
536C4⋊C4—21no—
537C4⋊C4—21no—
538C4⋊C4—41no—
539C4⋊C4—42no—
540C4⋊C4—42no—
541C4⋊C4—42no—
542C4⋊C4—42no—
543C4⋊C4—81no—
544C4⋊C4C2×D4×C15112yes—
545C22⋊C4—42no—
546C22⋊C4—42no—
547C22⋊C4—42no—
548C22⋊C4—42no—
549C22⋊C4—42no—
550C22⋊C4—42no—
551C42—24no—
552C42—21no—
553C42—21no—
554C42—21no—
555C42—21no—
556C42—42no—
557C42—81no—
558C42—81no—
559C42C2×D4×C15112yes—
560C42#41×C15112yes—
561C23—41no—
562C23—41no—
563C23—41no—
564C23—41no—
565C23—41no—
566C23—41no—
567C23—41no—
568C23C22×D4×C15111yescharacteristic
569Q8—22no—
570Q8—22no—
571Q8—22no—
572Q8—22no—
573Q8—41no—
574Q8—41no—
575Q8—41no—
576Q8—41no—
577Q8—41no—
578Q8—41no—
579Q8—41no—
580Q8—41no—
581D4—41no—
582D4—41no—
583D4—41no—
584D4—41no—
585C2×C4—21no—
586C2×C4—21no—
587C2×C4—21no—
588C2×C4—21no—
589C2×C4—21no—
590C2×C4—21no—
591C2×C4—22no—
592C2×C4—22no—
593C2×C4—21no—
594C2×C4—21no—
595C2×C4—21no—
596C2×C4—22no—
597C2×C4—21no—
598C2×C4—21no—
599C2×C4—21no—
600C2×C4—21no—
601C2×C4—21no—
602C2×C4—21no—
603C2×C4—41no—
604C2×C4—41no—
605C2×C4—41no—
606C2×C4—41no—
607C2×C4—41no—
608C2×C4—41no—
609C2×C4—41no—
610C2×C4—41no—
611C2×C4—41no—
612C2×C4—41no—
613C2×C4—41no—
614C2×C4—41no—
615C2×C4—41no—
616C2×C4—41no—
617C2×C4—41no—
618C2×C4—41no—
619C2×C4—41no—
620C2×C4—41no—
621C2×C4#121×C15112yes—
622C2×C4#121×C15112yes—
623C2×C4#137×C15112yes—
624C2×C4C22×D4×C15111yescharacteristic
625C2×C4C2×#41×C15111yescharacteristic
626C2×C4C2×#41×C15111yescharacteristic
627C2×C4C2×#41×C15111yescharacteristic
628C2×C4H(5,𝔽2)×C15111yescharacteristic
629C2×C4H(5,𝔽2)×C15111yescharacteristic
630C8—22no—
631C8—41no—
632C8—41no—
633C8—41no—
634C22—81no—
635C22—81no—
636C22—81no—
637C22—81no—
638C22—81no—
639C22—81no—
640C22—81no—
641C22C2×#121×C15111yescharacteristic
642C22#546×C15111yescharacteristic
643C22#550×C15111yescharacteristic
644C22C2×#137×C15111yescharacteristic
645C22#575×C15111yescharacteristic
646C22#577×C15111yescharacteristic
647C22#578×C15111yescharacteristic
648C4—22no—
649C4—22no—
650C4—22no—
651C4—42no—
652C4—42no—
653C4—42no—
654C4—41no—
655C4—41no—
656C4—41no—
657C4—81no—
658C4—81no—
659C4—81no—
660C4—81no—
661C4#525×C15111yescharacteristic
662C4#535×C15111yescharacteristic
663C4#553×C15111yescharacteristic
664C4#555×C15111yescharacteristic
665C2—161no—
666C2#2414×C15111yescharacteristic
667C2#3037×C15111yescharacteristic
668C2#3046×C15111yescharacteristic
669C2#3313×C15111yescharacteristic
670C2#3316×C15111yescharacteristic
671C2#3398×C15111yescharacteristic
672C2#3401×C15111yescharacteristic
subgroupG/H
center, socleC23×C151C22×D4
commutator, Frattini, cosocleC22×C4C24×C151
prime radicalC22×D4×C151C23
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23×C151 ◁ C4×C4⋊C4×C151 ◁ G

Complements

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

NH ≅ G/Ntype
2. C2×#441×C151C2semidirect
4. #2355×C151C2semidirect
5. #2056×C151C2semidirect
7. #2016×C151C2semidirect
10. #1981×C151C2semidirect
12. #1940×C151C2semidirect
13. #1927×C151C2semidirect
15. #1803×C151C2semidirect
336. #24641C151direct (N × H)
337. C151#24641direct (N × H)
339. C2×#441C2×C151semidirect
341. #2355C2×C151semidirect
342. #2056C2×C151semidirect
344. #2016C2×C151semidirect
347. #1981C2×C151semidirect
349. #1940C2×C151semidirect
350. #1927C2×C151semidirect
352. #1803C2×C151semidirect

Maximal subgroups

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

subgroupindex
C2×#464×C1512
C2×#441×C1512
#2545×C1512
#2355×C1512
#2056×C1512
#2055×C1512
#2016×C1512
#2015×C1512
#1983×C1512
#1981×C1512
#1959×C1512
#1940×C1512
#1927×C1512
#1926×C1512
#1803×C1512
#24641151