Finite Group Databasebeta

← C151×#14877 #50319802

Subgroups — C151×#14877 #50319802

Order 38656.

1870 conjugacy classes of subgroups.

The subgroup lattice has 684 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×C4×Q8×C151C211yesmaximal, characteristic, complemented
2C2×#396×C151C212yesmaximal
3C2×#395×C151C211yesmaximal, characteristic, complemented
4C2×#393×C151C211yesmaximal, characteristic
5C2×#388×C151C211yesmaximal, characteristic
6#1441×C151C211yesmaximal, characteristic, complemented
7#1441×C151C212yesmaximal, complemented
8#1439×C151C211yesmaximal, characteristic
9#1437×C151C212yesmaximal
10#1436×C151C212yesmaximal, complemented
11C4⋊#95×C151C211yesmaximal, characteristic, complemented
12C23×Q8×C151C2211yescharacteristic
13C2×C4×Q8×C151—28no—
14C2×C4×Q8×C151—24no—
15C22×C4⋊C4×C151C2212yes—
16C22×C4⋊C4×C151C2211yescharacteristic
17C22×C4⋊C4×C151C2211yescharacteristic
18C22×C4⋊C4×C151C2212yes—
19C22×C4⋊C4×C151C2212yes—
20C22×C22⋊C4×C151C2212yes—
21C22×C22⋊C4×C151C2211yescharacteristic
22C22×C22⋊C4×C151C2211yescharacteristic
23C22×C22⋊C4×C151C2212yes—
24C22×C22⋊C4×C151C2211yescharacteristic
25C22×C42×C151C2212yes—
26C22×C42×C151C2211yescharacteristic
27#396×C151—28no—
28#395×C151—24no—
29#393×C151—24no—
30#388×C151—24no—
31C2×#95×C151C2211yescharacteristic
32C2×#95×C151C2212yes—
33C2×#95×C151C2211yescharacteristic
34C2×#95×C151C2212yes—
35C2×#95×C151C2212yes—
36C2×#95×C151C2212yes—
37C2×#95×C151C2211yescharacteristic
38C2×#95×C151C2212yes—
39C2×#95×C151C2211yescharacteristic
40C2×#95×C151C2212yes—
41C25×C151C2311yescharacteristic
42C22×Q8×C151—24no—
43C22×Q8×C151—22no—
44C22×Q8×C151—24no—
45C22×Q8×C151—22no—
46C22×Q8×C151D414yes—
47C23×C4×C151C2311yescharacteristic
48C23×C4×C151C2312yes—
49C23×C4×C151C2311yescharacteristic
50C23×C4×C151C2312yes—
51C23×C4×C151C2311yescharacteristic
52C23×C4×C151C2312yes—
53C23×C4×C151C2311yescharacteristic
54C23×C4×C151C2312yes—
55C23×C4×C151C2311yescharacteristic
56C23×C4×C151C2311yescharacteristic
57C4×Q8×C151—232no—
58C2×C4⋊C4×C151—24no—
59C2×C4⋊C4×C151—22no—
60C2×C4⋊C4×C151—24no—
61C2×C4⋊C4×C151—24no—
62C2×C4⋊C4×C151—22no—
63C2×C4⋊C4×C151—24no—
64C2×C4⋊C4×C151—22no—
65C2×C4⋊C4×C151—24no—
66C2×C4⋊C4×C151—24no—
67C2×C4⋊C4×C151—24no—
68C2×C4⋊C4×C151—24no—
69C2×C4⋊C4×C151—22no—
70C2×C4⋊C4×C151—42no—
71C2×C4⋊C4×C151D418yes—
72C2×C22⋊C4×C151—22no—
73C2×C22⋊C4×C151—22no—
74C2×C22⋊C4×C151—22no—
75C2×C22⋊C4×C151—22no—
76C2×C22⋊C4×C151—24no—
77C2×C22⋊C4×C151—22no—
78C2×C22⋊C4×C151—24no—
79C2×C22⋊C4×C151—24no—
80C2×C22⋊C4×C151—24no—
81C2×C22⋊C4×C151—24no—
82C2×C22⋊C4×C151—24no—
83C2×C22⋊C4×C151—22no—
84C2×C22⋊C4×C151—42no—
85C2×C22⋊C4×C151Q814yescomplemented
86C2×C42×C151—24no—
87C2×C42×C151—24no—
88C2×C42×C151—24no—
89C2×C42×C151—24no—
90C2×C42×C151D414yes—
91#95×C151—22no—
92#95×C151—22no—
93#95×C151—22no—
94#95×C151—24no—
95#95×C151—22no—
96#95×C151—24no—
97#95×C151—24no—
98#95×C151—24no—
99#95×C151—24no—
100#95×C151—42no—
101C24×C151—21no—
102C24×C151—22no—
103C24×C151—21no—
104C24×C151—21no—
105C24×C151—22no—
106C24×C151—22no—
107C24×C151—21no—
108C24×C151—21no—
109C24×C151—22no—
110C24×C151—21no—
111C24×C151C2×Q812yes—
112C24×C151C2411yescharacteristic
113C2×Q8×C151—28no—
114C2×Q8×C151—28no—
115C2×Q8×C151—216no—
116C2×Q8×C151—216no—
117C2×Q8×C151—28no—
118C22×C4×C151—22no—
119C22×C4×C151—22no—
120C22×C4×C151—22no—
121C22×C4×C151—22no—
122C22×C4×C151—22no—
123C22×C4×C151—22no—
124C22×C4×C151—22no—
125C22×C4×C151—22no—
126C22×C4×C151—21no—
127C22×C4×C151—22no—
128C22×C4×C151—21no—
129C22×C4×C151—22no—
130C22×C4×C151—21no—
131C22×C4×C151—21no—
132C22×C4×C151—22no—
133C22×C4×C151—22no—
134C22×C4×C151—22no—
135C22×C4×C151—22no—
136C22×C4×C151—22no—
137C22×C4×C151—21no—
138C22×C4×C151—22no—
139C22×C4×C151—22no—
140C22×C4×C151—21no—
141C22×C4×C151—21no—
142C22×C4×C151—22no—
143C22×C4×C151—22no—
144C22×C4×C151—22no—
145C22×C4×C151—22no—
146C22×C4×C151—21no—
147C22×C4×C151—21no—
148C22×C4×C151—21no—
149C22×C4×C151—22no—
150C22×C4×C151—21no—
151C22×C4×C151—22no—
152C22×C4×C151—22no—
153C22×C4×C151—21no—
154C22×C4×C151—22no—
155C22×C4×C151—22no—
156C22×C4×C151—22no—
157C22×C4×C151—21no—
158C22×C4×C151—22no—
159C22×C4×C151—21no—
160C22×C4×C151—22no—
161C22×C4×C151—22no—
162C22×C4×C151—22no—
163C22×C4×C151—22no—
164C22×C4×C151C2×D414yes—
165C22×C4×C151C2×D412yes—
166C22×C4×C151C2×D414yes—
167C22×C4×C151C2×D412yes—
168C22×C4×C151C2×D414yes—
169C22×C4×C151C2×D414yes—
170C22×C4×C151C2×D412yes—
171C22×C4×C151C2×D412yes—
172C22×C4×C151C2×Q812yes—
173C22×C4×C151C2×Q812yes—
174C22×C4×C151#4114yes—
175C22×C4×C151#4114yes—
176C22×C4×C151#4112yes—
177C22×C4×C151#4112yes—
178C4⋊C4×C151—28no—
179C4⋊C4×C151—216no—
180C4⋊C4×C151—48no—
181C4⋊C4×C151—44no—
182C4⋊C4×C151—48no—
183C22⋊C4×C151—28no—
184C22⋊C4×C151—48no—
185C22⋊C4×C151—44no—
186C22⋊C4×C151—44no—
187C22⋊C4×C151—48no—
188C42×C151—216no—
189C42×C151—28no—
190C23×C151—22no—
191C23×C151—24no—
192C23×C151—24no—
193C23×C151—22no—
194C23×C151—22no—
195C23×C151—41no—
196C23×C151—42no—
197C23×C151—41no—
198C23×C151—41no—
199C23×C151—42no—
200C23×C151—42no—
201C23×C151—41no—
202C23×C151—41no—
203C23×C151—41no—
204C23×C151—42no—
205C23×C151—42no—
206C23×C151—42no—
207C23×C151—42no—
208C23×C151—42no—
209C23×C151—42no—
210C23×C151—41no—
211C23×C151—42no—
212C23×C151—41no—
213C23×C151C22×D411yescharacteristic
214C23×C151C22×D412yes—
215C23×C151C22×D411yescharacteristic
216C23×C151C22×Q811yescharacteristic
217C23×C151C2×#4112yes—
218C23×C151C2×#4111yescharacteristic
219C23×C151C2×#4111yescharacteristic
220C23×C151C2×#4112yes—
221C23×C151H(5,𝔽2)11yescharacteristic
222C23×C1512−1+412yes—
223C23×C1512−1+411yescharacteristic
224Q8×C151—232no—
225C2×C4×C151—24no—
226C2×C4×C151—22no—
227C2×C4×C151—22no—
228C2×C4×C151—24no—
229C2×C4×C151—24no—
230C2×C4×C151—24no—
231C2×C4×C151—22no—
232C2×C4×C151—24no—
233C2×C4×C151—24no—
234C2×C4×C151—24no—
235C2×C4×C151—24no—
236C2×C4×C151—22no—
237C2×C4×C151—22no—
238C2×C4×C151—22no—
239C2×C4×C151—24no—
240C2×C4×C151—24no—
241C2×C4×C151—24no—
242C2×C4×C151—24no—
243C2×C4×C151—24no—
244C2×C4×C151—22no—
245C2×C4×C151—24no—
246C2×C4×C151—24no—
247C2×C4×C151—24no—
248C2×C4×C151—24no—
249C2×C4×C151—24no—
250C2×C4×C151—22no—
251C2×C4×C151—22no—
252C2×C4×C151—42no—
253C2×C4×C151—41no—
254C2×C4×C151—42no—
255C2×C4×C151—42no—
256C2×C4×C151—41no—
257C2×C4×C151—42no—
258C2×C4×C151—42no—
259C2×C4×C151—42no—
260C2×C4×C151—42no—
261C2×C4×C151—42no—
262C2×C4×C151—41no—
263C2×C4×C151—41no—
264C2×C4×C151—41no—
265C2×C4×C151—42no—
266C2×C4×C151—41no—
267C2×C4×C151—42no—
268C2×C4×C151—41no—
269C2×C4×C151—41no—
270C2×C4×C151—42no—
271C2×C4×C151—42no—
272C2×C4×C151—41no—
273C2×C4×C151—41no—
274C2×C4×C151—42no—
275C2×C4×C151—42no—
276C2×C4×C151—42no—
277C2×C4×C151—42no—
278C2×C4×C151—42no—
279C2×C4×C151—42no—
280C2×C4×C151—42no—
281C2×C4×C151#12014yes—
282C2×C4×C151#12118yes—
283C2×C4×C151#12114yes—
284C2×C4×C151C22⋊Q814yes—
285C22×C151—42no—
286C22×C151—42no—
287C22×C151—44no—
288C22×C151—44no—
289C22×C151—42no—
290C22×C151—81no—
291C22×C151—81no—
292C22×C151—82no—
293C22×C151—81no—
294C22×C151—82no—
295C22×C151—81no—
296C22×C151C2×#12011yescharacteristic
297C22×C151C2×#12112yes—
298C22×C151C2×#12111yescharacteristic
299C22×C151C2×C22⋊Q811yescharacteristic
300C22×C151#52511yescharacteristic
301C22×C151#52512yes—
302C22×C151#52912yes—
303C22×C151#53211yescharacteristic
304C22×C151#53312yes—
305C22×C151#53611yescharacteristic
306C22×C151#53711yescharacteristic
307C22×C151#54112yes—
308C22×C151#54212yes—
309C22×C151#54612yes—
310C22×C151#54712yes—
311C22×C151#54812yes—
312C22×C151#54812yes—
313C22×C151D4×Q812yes—
314C22×C151D4×Q811yescharacteristic
315C22×C151#55011yescharacteristic
316C22×C151#55411yescharacteristic
317C22×C151#55612yes—
318C22×C151#55611yescharacteristic
319C4×C151—28no—
320C4×C151—24no—
321C4×C151—24no—
322C4×C151—24no—
323C4×C151—44no—
324C4×C151—44no—
325C4×C151—42no—
326C4×C151—81no—
327C4×C151—82no—
328C4×C151—81no—
329C2×C151—82no—
330C2×C151#239611yescharacteristic
331C2×C151#240911yescharacteristic
332C2×C151#242612yes—
333C2×C151#242912yes—
334C2×C151#243011yescharacteristic
335C2×C151#246512yes—
336C2×C151#246912yes—
337C2×C151#253811yescharacteristic
338C2×C151#254511yescharacteristic
339C2×C151#263711yescharacteristic
340C2×C151#284711yescharacteristic
341#14877C15111yesmaximal, characteristic, direct product factor, Sylow
342C151#1487711yescharacteristic, direct product factor, Sylow
343C22×C4×Q8C2×C15111yescharacteristic, complemented
344C2×#396C2×C15112yes—
345C2×#395C2×C15111yescharacteristic, complemented
346C2×#393C2×C15111yescharacteristic
347C2×#388C2×C15111yescharacteristic
348#1441C2×C15111yescharacteristic, complemented
349#1441C2×C15112yescomplemented
350#1439C2×C15111yescharacteristic
351#1437C2×C15112yes—
352#1436C2×C15112yescomplemented
353C4⋊#95C2×C15111yescharacteristic, complemented
354C23×Q8C22×C15111yescharacteristic
355C2×C4×Q8—28no—
356C2×C4×Q8—24no—
357C22×C4⋊C4C22×C15112yes—
358C22×C4⋊C4C22×C15111yescharacteristic
359C22×C4⋊C4C22×C15111yescharacteristic
360C22×C4⋊C4C22×C15112yes—
361C22×C4⋊C4C22×C15112yes—
362C22×C22⋊C4C22×C15112yes—
363C22×C22⋊C4C22×C15111yescharacteristic
364C22×C22⋊C4C22×C15111yescharacteristic
365C22×C22⋊C4C22×C15112yes—
366C22×C22⋊C4C22×C15111yescharacteristic
367C22×C42C22×C15112yes—
368C22×C42C22×C15111yescharacteristic
369#396—28no—
370#395—24no—
371#393—24no—
372#388—24no—
373C2×#95C22×C15111yescharacteristic
374C2×#95C22×C15112yes—
375C2×#95C22×C15111yescharacteristic
376C2×#95C22×C15112yes—
377C2×#95C22×C15112yes—
378C2×#95C22×C15112yes—
379C2×#95C22×C15111yescharacteristic
380C2×#95C22×C15112yes—
381C2×#95C22×C15111yescharacteristic
382C2×#95C22×C15112yes—
383C25C23×C15111yescharacteristic
384C22×Q8—24no—
385C22×Q8—22no—
386C22×Q8—24no—
387C22×Q8—22no—
388C22×Q8D4×C15114yes—
389C23×C4C23×C15111yescharacteristic
390C23×C4C23×C15112yes—
391C23×C4C23×C15111yescharacteristic
392C23×C4C23×C15111yescharacteristic
393C23×C4C23×C15112yes—
394C23×C4C23×C15112yes—
395C23×C4C23×C15111yescharacteristic
396C23×C4C23×C15112yes—
397C23×C4C23×C15111yescharacteristic
398C23×C4C23×C15111yescharacteristic
399C4×Q8—232no—
400C2×C4⋊C4—24no—
401C2×C4⋊C4—22no—
402C2×C4⋊C4—24no—
403C2×C4⋊C4—24no—
404C2×C4⋊C4—24no—
405C2×C4⋊C4—24no—
406C2×C4⋊C4—22no—
407C2×C4⋊C4—22no—
408C2×C4⋊C4—24no—
409C2×C4⋊C4—22no—
410C2×C4⋊C4—24no—
411C2×C4⋊C4—24no—
412C2×C4⋊C4—42no—
413C2×C4⋊C4D4×C15118yes—
414C2×C22⋊C4—22no—
415C2×C22⋊C4—22no—
416C2×C22⋊C4—24no—
417C2×C22⋊C4—24no—
418C2×C22⋊C4—22no—
419C2×C22⋊C4—22no—
420C2×C22⋊C4—22no—
421C2×C22⋊C4—24no—
422C2×C22⋊C4—22no—
423C2×C22⋊C4—24no—
424C2×C22⋊C4—24no—
425C2×C22⋊C4—24no—
426C2×C22⋊C4—42no—
427C2×C22⋊C4Q8×C15114yescomplemented
428C2×C42—24no—
429C2×C42—24no—
430C2×C42—24no—
431C2×C42—24no—
432C2×C42D4×C15114yes—
433#95—24no—
434#95—24no—
435#95—22no—
436#95—22no—
437#95—22no—
438#95—24no—
439#95—22no—
440#95—24no—
441#95—24no—
442#95—42no—
443C24—21no—
444C24—22no—
445C24—21no—
446C24—21no—
447C24—22no—
448C24—22no—
449C24—21no—
450C24—21no—
451C24—22no—
452C24—21no—
453C24C2×Q8×C15112yes—
454C24C24×C15111yescharacteristic
455C2×Q8—28no—
456C2×Q8—28no—
457C2×Q8—216no—
458C2×Q8—216no—
459C2×Q8—28no—
460C22×C4—22no—
461C22×C4—22no—
462C22×C4—22no—
463C22×C4—22no—
464C22×C4—22no—
465C22×C4—22no—
466C22×C4—22no—
467C22×C4—22no—
468C22×C4—21no—
469C22×C4—22no—
470C22×C4—21no—
471C22×C4—22no—
472C22×C4—21no—
473C22×C4—21no—
474C22×C4—22no—
475C22×C4—22no—
476C22×C4—22no—
477C22×C4—22no—
478C22×C4—22no—
479C22×C4—21no—
480C22×C4—22no—
481C22×C4—22no—
482C22×C4—21no—
483C22×C4—21no—
484C22×C4—22no—
485C22×C4—22no—
486C22×C4—22no—
487C22×C4—22no—
488C22×C4—21no—
489C22×C4—21no—
490C22×C4—21no—
491C22×C4—22no—
492C22×C4—21no—
493C22×C4—22no—
494C22×C4—22no—
495C22×C4—21no—
496C22×C4—22no—
497C22×C4—22no—
498C22×C4—22no—
499C22×C4—21no—
500C22×C4—22no—
501C22×C4—21no—
502C22×C4—22no—
503C22×C4—22no—
504C22×C4—22no—
505C22×C4—22no—
506C22×C4C2×D4×C15114yes—
507C22×C4C2×D4×C15112yes—
508C22×C4C2×D4×C15114yes—
509C22×C4C2×D4×C15112yes—
510C22×C4C2×D4×C15114yes—
511C22×C4C2×D4×C15114yes—
512C22×C4C2×D4×C15112yes—
513C22×C4C2×D4×C15112yes—
514C22×C4C2×Q8×C15112yes—
515C22×C4C2×Q8×C15112yes—
516C22×C4#41×C15114yes—
517C22×C4#41×C15114yes—
518C22×C4#41×C15112yes—
519C22×C4#41×C15112yes—
520C4⋊C4—28no—
521C4⋊C4—216no—
522C4⋊C4—48no—
523C4⋊C4—44no—
524C4⋊C4—48no—
525C22⋊C4—28no—
526C22⋊C4—48no—
527C22⋊C4—44no—
528C22⋊C4—44no—
529C22⋊C4—48no—
530C42—216no—
531C42—28no—
532C23—22no—
533C23—24no—
534C23—24no—
535C23—22no—
536C23—22no—
537C23—41no—
538C23—42no—
539C23—41no—
540C23—41no—
541C23—42no—
542C23—42no—
543C23—41no—
544C23—41no—
545C23—41no—
546C23—42no—
547C23—42no—
548C23—42no—
549C23—42no—
550C23—42no—
551C23—42no—
552C23—41no—
553C23—42no—
554C23—41no—
555C23C22×D4×C15111yescharacteristic
556C23C22×D4×C15112yes—
557C23C22×D4×C15111yescharacteristic
558C23C22×Q8×C15111yescharacteristic
559C23C2×#41×C15112yes—
560C23C2×#41×C15111yescharacteristic
561C23C2×#41×C15111yescharacteristic
562C23C2×#41×C15112yes—
563C23H(5,𝔽2)×C15111yescharacteristic
564C232−1+4×C15112yes—
565C232−1+4×C15111yescharacteristic
566Q8—232no—
567C2×C4—22no—
568C2×C4—24no—
569C2×C4—22no—
570C2×C4—24no—
571C2×C4—24no—
572C2×C4—24no—
573C2×C4—24no—
574C2×C4—24no—
575C2×C4—24no—
576C2×C4—22no—
577C2×C4—24no—
578C2×C4—22no—
579C2×C4—22no—
580C2×C4—22no—
581C2×C4—24no—
582C2×C4—24no—
583C2×C4—24no—
584C2×C4—24no—
585C2×C4—24no—
586C2×C4—22no—
587C2×C4—24no—
588C2×C4—24no—
589C2×C4—24no—
590C2×C4—24no—
591C2×C4—24no—
592C2×C4—22no—
593C2×C4—22no—
594C2×C4—42no—
595C2×C4—41no—
596C2×C4—42no—
597C2×C4—42no—
598C2×C4—41no—
599C2×C4—42no—
600C2×C4—42no—
601C2×C4—42no—
602C2×C4—42no—
603C2×C4—42no—
604C2×C4—41no—
605C2×C4—41no—
606C2×C4—41no—
607C2×C4—42no—
608C2×C4—41no—
609C2×C4—42no—
610C2×C4—41no—
611C2×C4—41no—
612C2×C4—42no—
613C2×C4—42no—
614C2×C4—41no—
615C2×C4—41no—
616C2×C4—42no—
617C2×C4—42no—
618C2×C4—42no—
619C2×C4—42no—
620C2×C4—42no—
621C2×C4—42no—
622C2×C4—42no—
623C2×C4#120×C15114yes—
624C2×C4#121×C15118yes—
625C2×C4#121×C15114yes—
626C2×C4C22⋊Q8×C15114yes—
627C22—42no—
628C22—42no—
629C22—44no—
630C22—44no—
631C22—42no—
632C22—81no—
633C22—81no—
634C22—82no—
635C22—81no—
636C22—82no—
637C22—81no—
638C22C2×#120×C15111yescharacteristic
639C22C2×#121×C15112yes—
640C22C2×#121×C15111yescharacteristic
641C22C2×C22⋊Q8×C15111yescharacteristic
642C22#525×C15111yescharacteristic
643C22#525×C15112yes—
644C22#529×C15112yes—
645C22#532×C15111yescharacteristic
646C22#533×C15112yes—
647C22#536×C15111yescharacteristic
648C22#537×C15111yescharacteristic
649C22#541×C15112yes—
650C22#542×C15112yes—
651C22#546×C15112yes—
652C22#547×C15112yes—
653C22#548×C15112yes—
654C22#548×C15112yes—
655C22D4×Q8×C15112yes—
656C22D4×Q8×C15111yescharacteristic
657C22#550×C15111yescharacteristic
658C22#554×C15111yescharacteristic
659C22#556×C15112yes—
660C22#556×C15111yescharacteristic
661C4—28no—
662C4—24no—
663C4—24no—
664C4—24no—
665C4—44no—
666C4—44no—
667C4—42no—
668C4—81no—
669C4—82no—
670C4—81no—
671C2—82no—
672C2#2396×C15111yescharacteristic
673C2#2409×C15111yescharacteristic
674C2#2426×C15112yes—
675C2#2429×C15112yes—
676C2#2430×C15111yescharacteristic
677C2#2465×C15112yes—
678C2#2469×C15112yes—
679C2#2538×C15111yescharacteristic
680C2#2545×C15111yescharacteristic
681C2#2637×C15111yescharacteristic
682C2#2847×C15111yescharacteristic
subgroupG/H
center, socleC24×C151C24
commutator, Frattini, cosocleC24C24×C151
prime radicalC25×C151C23
LCSG ▷ C24 ▷ C1
UCSC1 ◁ C24×C151 ◁ G

Complements

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

NH ≅ G/Ntype
1. C22×C4×Q8×C151C2semidirect
3. C2×#395×C151C2semidirect
6. #1441×C151C2semidirect
7. #1441×C151C2semidirect
10. #1436×C151C2semidirect
11. C4⋊#95×C151C2semidirect
85. C2×C22⋊C4×C151Q8semidirect
341. #14877C151direct (N × H)
342. C151#14877direct (N × H)
343. C22×C4×Q8C2×C151semidirect
345. C2×#395C2×C151semidirect
348. #1441C2×C151semidirect
349. #1441C2×C151semidirect
352. #1436C2×C151semidirect
353. C4⋊#95C2×C151semidirect
427. C2×C22⋊C4Q8×C151semidirect

Maximal subgroups

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

subgroupindex
C22×C4×Q8×C1512
C2×#396×C1512
C2×#395×C1512
C2×#393×C1512
C2×#388×C1512
#1441×C1512
#1439×C1512
#1437×C1512
#1436×C1512
C4⋊#95×C1512
#14877151