Finite Group Databasebeta

← C151×#24386 #50329311

Subgroups — C151×#24386 #50329311

Order 38656.

1548 conjugacy classes of subgroups.

The subgroup lattice has 680 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×C22⋊Q8×C151C211yesmaximal, characteristic
2C2×#470×C151C212yesmaximal, complemented
3C2×#451×C151C211yesmaximal, characteristic, complemented
4C2×#407×C151C211yesmaximal, characteristic
5#2848×C151C211yesmaximal, characteristic
6#2035×C151C212yesmaximal, complemented
7#2001×C151C212yesmaximal, complemented
8#1894×C151C212yesmaximal, complemented
9#1872×C151C211yesmaximal, characteristic, complemented
10#1853×C151C211yesmaximal, characteristic, complemented
11#1787×C151C211yesmaximal, characteristic, complemented
12C23×Q8×C151C2211yescharacteristic
13C24×C4×C151C2211yescharacteristic
14C22×Q16×C151C2212yescomplemented
15C22×M16×C151C2212yes—
16C2×C22⋊Q8×C151—21no—
17C2×C22⋊Q8×C151—21no—
18C2×C22⋊Q8×C151—28no—
19C2×C22⋊Q8×C151C2211yescharacteristic
20C2×C22⋊Q8×C151C2211yescharacteristic
21C2×C22⋊Q8×C151C2212yes—
22C2×C22⋊Q8×C151C2212yes—
23C2×C22⋊Q8×C151C2211yescharacteristic
24C22×C4⋊C4×C151—21no—
25C22×C4⋊C4×C151C2211yescharacteristic
26C22×C22⋊C4×C151—21no—
27#470×C151—28no—
28#451×C151—24no—
29C2×#106×C151C2212yescomplemented
30C2×#103×C151C2212yescomplemented
31C2×#103×C151C2212yescomplemented
32C2×#103×C151C2212yescomplemented
33C2×#103×C151C2212yescomplemented
34#407×C151—24no—
35C2×C22⋊C8×C151C2211yescharacteristic
36C2×C22⋊C8×C151C2212yes—
37C2×C22⋊C8×C151C2211yescharacteristic
38#385×C151—21no—
39#385×C151—21no—
40#385×C151—21no—
41#380×C151C2211yescharacteristic
42#380×C151C2211yescharacteristic
43#380×C151C2211yescharacteristic
44#379×C151—21no—
45#340×C151C2212yescomplemented
46#340×C151C2212yescomplemented
47C25×C151D411yescharacteristic
48C22×Q8×C151—21no—
49C22×Q8×C151—24no—
50C22×Q8×C151—22no—
51C22×Q8×C151—22no—
52C22×Q8×C151—42no—
53C22×Q8×C151C2311yescharacteristic
54C22×Q8×C151C2312yes—
55C23×C4×C151—22no—
56C23×C4×C151—24no—
57C23×C4×C151—22no—
58C23×C4×C151—21no—
59C23×C4×C151—21no—
60C23×C4×C151—42no—
61C23×C4×C151D411yescharacteristic
62C23×C4×C151D411yescharacteristic
63C23×C4×C151D411yescharacteristic
64C23×C4×C151C2311yescharacteristic
65C23×C4×C151C2311yescharacteristic
66C23×C4×C151C2311yescharacteristic
67C2×Q16×C151—24no—
68C2×Q16×C151—24no—
69C2×Q16×C151—42no—
70C2×M16×C151—24no—
71C2×M16×C151—24no—
72C2×M16×C151—42no—
73C22×C8×C151C2312yes—
74C22×C8×C151C2312yes—
75C22⋊Q8×C151—28no—
76C22⋊Q8×C151—28no—
77C22⋊Q8×C151—24no—
78C22⋊Q8×C151—24no—
79C22⋊Q8×C151—22no—
80C22⋊Q8×C151—24no—
81C22⋊Q8×C151—22no—
82C22⋊Q8×C151—24no—
83C22⋊Q8×C151—42no—
84C22⋊Q8×C151D418yes—
85C2×C4⋊C4×C151—28no—
86C2×C4⋊C4×C151—22no—
87C2×C4⋊C4×C151—22no—
88C2×C4⋊C4×C151—21no—
89C2×C4⋊C4×C151—24no—
90C2×C4⋊C4×C151—21no—
91C2×C4⋊C4×C151—21no—
92C2×C4⋊C4×C151—21no—
93C2×C4⋊C4×C151C2311yescharacteristic
94C2×C4⋊C4×C151C2311yescharacteristic
95C2×C4⋊C4×C151C2311yescharacteristic
96C2×C4⋊C4×C151C2312yes—
97C2×C22⋊C4×C151—28no—
98C2×C22⋊C4×C151—22no—
99C2×C22⋊C4×C151—22no—
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—
106#106×C151—24no—
107#103×C151—24no—
108#103×C151—24no—
109#103×C151—24no—
110#103×C151—42no—
111C22⋊C8×C151—22no—
112C22⋊C8×C151—24no—
113C22⋊C8×C151D414yes—
114#95×C151—21no—
115#95×C151—21no—
116#95×C151—21no—
117C24×C151—22no—
118C24×C151—22no—
119C24×C151—22no—
120C24×C151—22no—
121C24×C151—22no—
122C24×C151—41no—
123C24×C151—41no—
124C24×C151C2×D411yescharacteristic
125C24×C151C2×D411yescharacteristic
126C24×C151C2×D411yescharacteristic
127C2×Q8×C151—24no—
128C2×Q8×C151—22no—
129C2×Q8×C151—22no—
130C2×Q8×C151—22no—
131C2×Q8×C151—21no—
132C2×Q8×C151—22no—
133C2×Q8×C151—21no—
134C2×Q8×C151—22no—
135C2×Q8×C151—22no—
136C2×Q8×C151—22no—
137C2×Q8×C151—48no—
138C2×Q8×C151—48no—
139C2×Q8×C151—42no—
140C2×Q8×C151—42no—
141C2×Q8×C151C2×D414yes—
142C22×C4×C151—22no—
143C22×C4×C151—21no—
144C22×C4×C151—21no—
145C22×C4×C151—22no—
146C22×C4×C151—22no—
147C22×C4×C151—24no—
148C22×C4×C151—24no—
149C22×C4×C151—22no—
150C22×C4×C151—22no—
151C22×C4×C151—22no—
152C22×C4×C151—22no—
153C22×C4×C151—22no—
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—21no—
162C22×C4×C151—21no—
163C22×C4×C151—21no—
164C22×C4×C151—21no—
165C22×C4×C151—41no—
166C22×C4×C151—41no—
167C22×C4×C151—41no—
168C22×C4×C151—48no—
169C22×C4×C151—48no—
170C22×C4×C151—42no—
171C22×C4×C151—42no—
172C22×C4×C151—42no—
173C22×C4×C151—42no—
174C22×C4×C151C2×D411yescharacteristic
175C22×C4×C151C2×D411yescharacteristic
176C22×C4×C151C2×D414yes—
177C22×C4×C151C2×D411yescharacteristic
178C22×C4×C151C2×D412yes—
179C22×C4×C151#4112yes—
180C22×C4×C151C2411yescharacteristic
181Q16×C151—48no—
182M16×C151—48no—
183C2×C8×C151—22no—
184C2×C8×C151—22no—
185C2×C8×C151—22no—
186C2×C8×C151—22no—
187C2×C8×C151—22no—
188C2×C8×C151C2×D414yes—
189C4⋊C4×C151—24no—
190C4⋊C4×C151—28no—
191C4⋊C4×C151—28no—
192C4⋊C4×C151—22no—
193C4⋊C4×C151—21no—
194C4⋊C4×C151—22no—
195C4⋊C4×C151—21no—
196C4⋊C4×C151—22no—
197C4⋊C4×C151—42no—
198C4⋊C4×C151—42no—
199C4⋊C4×C151—42no—
200C4⋊C4×C151C2×D414yes—
201C22⋊C4×C151—28no—
202C22⋊C4×C151—28no—
203C22⋊C4×C151—42no—
204C22⋊C4×C151—42no—
205C22⋊C4×C151—42no—
206C22⋊C4×C151—42no—
207C22⋊C4×C151—42no—
208C22⋊C4×C151—42no—
209C23×C151—21no—
210C23×C151—21no—
211C23×C151—21no—
212C23×C151—21no—
213C23×C151—28no—
214C23×C151—21no—
215C23×C151—21no—
216C23×C151—21no—
217C23×C151—21no—
218C23×C151—21no—
219C23×C151—21no—
220C23×C151—21no—
221C23×C151—21no—
222C23×C151—21no—
223C23×C151—21no—
224C23×C151—21no—
225C23×C151—21no—
226C23×C151—44no—
227C23×C151—44no—
228C23×C151—44no—
229C23×C151—44no—
230C23×C151—44no—
231C23×C151—44no—
232C23×C151#12012yes—
233C23×C151#12112yes—
234C23×C151#13712yes—
235C23×C151#13712yes—
236C23×C151#13712yes—
237C23×C151C22×D411yescharacteristic
238Q8×C151—24no—
239Q8×C151—24no—
240Q8×C151—48no—
241Q8×C151—42no—
242Q8×C151—42no—
243Q8×C151—42no—
244Q8×C151—42no—
245C2×C4×C151—21no—
246C2×C4×C151—21no—
247C2×C4×C151—21no—
248C2×C4×C151—21no—
249C2×C4×C151—24no—
250C2×C4×C151—24no—
251C2×C4×C151—24no—
252C2×C4×C151—24no—
253C2×C4×C151—24no—
254C2×C4×C151—24no—
255C2×C4×C151—21no—
256C2×C4×C151—21no—
257C2×C4×C151—21no—
258C2×C4×C151—44no—
259C2×C4×C151—44no—
260C2×C4×C151—44no—
261C2×C4×C151—48no—
262C2×C4×C151—48no—
263C2×C4×C151—42no—
264C2×C4×C151—42no—
265C2×C4×C151—42no—
266C2×C4×C151—42no—
267C2×C4×C151—42no—
268C2×C4×C151—42no—
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#12012yes—
282C2×C4×C151#12112yes—
283C2×C4×C151C22×D411yescharacteristic
284C2×C4×C151C22×D412yes—
285C2×C4×C151C2×#4111yescharacteristic
286C2×C4×C151H(5,𝔽2)12yes—
287C8×C151—24no—
288C8×C151—42no—
289C22×C151—22no—
290C22×C151—22no—
291C22×C151—22no—
292C22×C151—22no—
293C22×C151—22no—
294C22×C151—22no—
295C22×C151—22no—
296C22×C151—22no—
297C22×C151—22no—
298C22×C151—22no—
299C22×C151—22no—
300C22×C151—22no—
301C22×C151—416no—
302C22×C151—41no—
303C22×C151—41no—
304C22×C151—41no—
305C22×C151—41no—
306C22×C151—41no—
307C22×C151—41no—
308C22×C151—41no—
309C22×C151—41no—
310C22×C151#47014yescomplemented
311C22×C151C2×#12011yescharacteristic
312C22×C151C2×#12111yescharacteristic
313C22×C151#53411yescharacteristic
314C22×C151C2×#13711yescharacteristic
315C22×C151C2×#13711yescharacteristic
316C22×C151C2×#13711yescharacteristic
317C22×C151#57511yescharacteristic
318C4×C151—22no—
319C4×C151—22no—
320C4×C151—41no—
321C4×C151—44no—
322C4×C151—44no—
323C4×C151—81no—
324C4×C151—81no—
325C4×C151—81no—
326C4×C151—81no—
327C4×C151D4212yes—
328C4×C151#54612yes—
329C2×C151—24no—
330C2×C151—42no—
331C2×C151—42no—
332C2×C151#241011yescharacteristic
333C2×C151#300411yescharacteristic
334C2×C151#300711yescharacteristic
335C2×C151C2×#47011yescharacteristic
336C2×C151#305611yescharacteristic
337C2×C151#319511yescharacteristic
338C2×C151#319611yescharacteristic
339#24386C15111yesmaximal, characteristic, direct product factor, Sylow
340C151#2438611yescharacteristic, direct product factor, Sylow
341C22×C22⋊Q8C2×C15111yescharacteristic
342C2×#470C2×C15112yescomplemented
343C2×#451C2×C15111yescharacteristic, complemented
344C2×#407C2×C15111yescharacteristic
345#2848C2×C15111yescharacteristic
346#2035C2×C15112yescomplemented
347#2001C2×C15112yescomplemented
348#1894C2×C15112yescomplemented
349#1872C2×C15111yescharacteristic, complemented
350#1853C2×C15111yescharacteristic, complemented
351#1787C2×C15111yescharacteristic, complemented
352C23×Q8C22×C15111yescharacteristic
353C24×C4C22×C15111yescharacteristic
354C22×Q16C22×C15112yescomplemented
355C22×M16C22×C15112yes—
356C2×C22⋊Q8—21no—
357C2×C22⋊Q8—21no—
358C2×C22⋊Q8—28no—
359C2×C22⋊Q8C22×C15111yescharacteristic
360C2×C22⋊Q8C22×C15111yescharacteristic
361C2×C22⋊Q8C22×C15112yes—
362C2×C22⋊Q8C22×C15112yes—
363C2×C22⋊Q8C22×C15111yescharacteristic
364C22×C4⋊C4—21no—
365C22×C4⋊C4C22×C15111yescharacteristic
366C22×C22⋊C4—21no—
367#470—28no—
368#451—24no—
369C2×#106C22×C15112yescomplemented
370C2×#103C22×C15112yescomplemented
371C2×#103C22×C15112yescomplemented
372C2×#103C22×C15112yescomplemented
373C2×#103C22×C15112yescomplemented
374#407—24no—
375C2×C22⋊C8C22×C15111yescharacteristic
376C2×C22⋊C8C22×C15112yes—
377C2×C22⋊C8C22×C15111yescharacteristic
378#385—21no—
379#385—21no—
380#385—21no—
381#380C22×C15111yescharacteristic
382#380C22×C15111yescharacteristic
383#380C22×C15111yescharacteristic
384#379—21no—
385#340C22×C15112yescomplemented
386#340C22×C15112yescomplemented
387C25D4×C15111yescharacteristic
388C22×Q8—24no—
389C22×Q8—21no—
390C22×Q8—22no—
391C22×Q8—22no—
392C22×Q8—42no—
393C22×Q8C23×C15111yescharacteristic
394C22×Q8C23×C15112yes—
395C23×C4—21no—
396C23×C4—21no—
397C23×C4—22no—
398C23×C4—24no—
399C23×C4—22no—
400C23×C4—42no—
401C23×C4D4×C15111yescharacteristic
402C23×C4D4×C15111yescharacteristic
403C23×C4D4×C15111yescharacteristic
404C23×C4C23×C15111yescharacteristic
405C23×C4C23×C15111yescharacteristic
406C23×C4C23×C15111yescharacteristic
407C2×Q16—24no—
408C2×Q16—24no—
409C2×Q16—42no—
410C2×M16—24no—
411C2×M16—24no—
412C2×M16—42no—
413C22×C8C23×C15112yes—
414C22×C8C23×C15112yes—
415C22⋊Q8—28no—
416C22⋊Q8—28no—
417C22⋊Q8—24no—
418C22⋊Q8—24no—
419C22⋊Q8—24no—
420C22⋊Q8—22no—
421C22⋊Q8—22no—
422C22⋊Q8—24no—
423C22⋊Q8—42no—
424C22⋊Q8D4×C15118yes—
425C2×C4⋊C4—28no—
426C2×C4⋊C4—22no—
427C2×C4⋊C4—22no—
428C2×C4⋊C4—21no—
429C2×C4⋊C4—24no—
430C2×C4⋊C4—21no—
431C2×C4⋊C4—21no—
432C2×C4⋊C4—21no—
433C2×C4⋊C4C23×C15111yescharacteristic
434C2×C4⋊C4C23×C15111yescharacteristic
435C2×C4⋊C4C23×C15111yescharacteristic
436C2×C4⋊C4C23×C15112yes—
437C2×C22⋊C4—28no—
438C2×C22⋊C4—22no—
439C2×C22⋊C4—22no—
440C2×C22⋊C4—21no—
441C2×C22⋊C4—21no—
442C2×C22⋊C4—21no—
443C2×C22⋊C4—21no—
444C2×C22⋊C4—21no—
445C2×C22⋊C4—21no—
446#106—24no—
447#103—24no—
448#103—24no—
449#103—24no—
450#103—42no—
451C22⋊C8—22no—
452C22⋊C8—24no—
453C22⋊C8D4×C15114yes—
454#95—21no—
455#95—21no—
456#95—21no—
457C24—22no—
458C24—22no—
459C24—22no—
460C24—22no—
461C24—22no—
462C24—41no—
463C24—41no—
464C24C2×D4×C15111yescharacteristic
465C24C2×D4×C15111yescharacteristic
466C24C2×D4×C15111yescharacteristic
467C2×Q8—24no—
468C2×Q8—22no—
469C2×Q8—22no—
470C2×Q8—22no—
471C2×Q8—21no—
472C2×Q8—22no—
473C2×Q8—21no—
474C2×Q8—22no—
475C2×Q8—22no—
476C2×Q8—22no—
477C2×Q8—48no—
478C2×Q8—48no—
479C2×Q8—42no—
480C2×Q8—42no—
481C2×Q8C2×D4×C15114yes—
482C22×C4—22no—
483C22×C4—21no—
484C22×C4—21no—
485C22×C4—22no—
486C22×C4—22no—
487C22×C4—24no—
488C22×C4—24no—
489C22×C4—22no—
490C22×C4—22no—
491C22×C4—22no—
492C22×C4—22no—
493C22×C4—22no—
494C22×C4—22no—
495C22×C4—22no—
496C22×C4—22no—
497C22×C4—21no—
498C22×C4—22no—
499C22×C4—21no—
500C22×C4—22no—
501C22×C4—21no—
502C22×C4—21no—
503C22×C4—21no—
504C22×C4—21no—
505C22×C4—41no—
506C22×C4—41no—
507C22×C4—41no—
508C22×C4—48no—
509C22×C4—48no—
510C22×C4—42no—
511C22×C4—42no—
512C22×C4—42no—
513C22×C4—42no—
514C22×C4C2×D4×C15111yescharacteristic
515C22×C4C2×D4×C15111yescharacteristic
516C22×C4C2×D4×C15114yes—
517C22×C4C2×D4×C15111yescharacteristic
518C22×C4C2×D4×C15112yes—
519C22×C4#41×C15112yes—
520C22×C4C24×C15111yescharacteristic
521Q16—48no—
522M16—48no—
523C2×C8—22no—
524C2×C8—22no—
525C2×C8—22no—
526C2×C8—22no—
527C2×C8—22no—
528C2×C8C2×D4×C15114yes—
529C4⋊C4—24no—
530C4⋊C4—28no—
531C4⋊C4—28no—
532C4⋊C4—22no—
533C4⋊C4—21no—
534C4⋊C4—22no—
535C4⋊C4—21no—
536C4⋊C4—22no—
537C4⋊C4—42no—
538C4⋊C4—42no—
539C4⋊C4—42no—
540C4⋊C4C2×D4×C15114yes—
541C22⋊C4—28no—
542C22⋊C4—28no—
543C22⋊C4—42no—
544C22⋊C4—42no—
545C22⋊C4—42no—
546C22⋊C4—42no—
547C22⋊C4—42no—
548C22⋊C4—42no—
549C23—21no—
550C23—21no—
551C23—21no—
552C23—21no—
553C23—28no—
554C23—21no—
555C23—21no—
556C23—21no—
557C23—21no—
558C23—21no—
559C23—21no—
560C23—21no—
561C23—21no—
562C23—21no—
563C23—21no—
564C23—21no—
565C23—21no—
566C23—44no—
567C23—44no—
568C23—44no—
569C23—44no—
570C23—44no—
571C23—44no—
572C23#120×C15112yes—
573C23#121×C15112yes—
574C23#137×C15112yes—
575C23#137×C15112yes—
576C23#137×C15112yes—
577C23C22×D4×C15111yescharacteristic
578Q8—24no—
579Q8—24no—
580Q8—48no—
581Q8—42no—
582Q8—42no—
583Q8—42no—
584Q8—42no—
585C2×C4—21no—
586C2×C4—21no—
587C2×C4—21no—
588C2×C4—21no—
589C2×C4—24no—
590C2×C4—24no—
591C2×C4—24no—
592C2×C4—24no—
593C2×C4—24no—
594C2×C4—24no—
595C2×C4—21no—
596C2×C4—21no—
597C2×C4—21no—
598C2×C4—44no—
599C2×C4—44no—
600C2×C4—44no—
601C2×C4—48no—
602C2×C4—48no—
603C2×C4—42no—
604C2×C4—42no—
605C2×C4—42no—
606C2×C4—42no—
607C2×C4—42no—
608C2×C4—42no—
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#120×C15112yes—
622C2×C4#121×C15112yes—
623C2×C4C22×D4×C15111yescharacteristic
624C2×C4C22×D4×C15112yes—
625C2×C4C2×#41×C15111yescharacteristic
626C2×C4H(5,𝔽2)×C15112yes—
627C8—24no—
628C8—42no—
629C22—22no—
630C22—22no—
631C22—22no—
632C22—22no—
633C22—22no—
634C22—22no—
635C22—22no—
636C22—22no—
637C22—22no—
638C22—22no—
639C22—22no—
640C22—22no—
641C22—416no—
642C22—41no—
643C22—41no—
644C22—41no—
645C22—41no—
646C22—41no—
647C22—41no—
648C22—41no—
649C22—41no—
650C22#470×C15114yescomplemented
651C22C2×#120×C15111yescharacteristic
652C22C2×#121×C15111yescharacteristic
653C22#534×C15111yescharacteristic
654C22C2×#137×C15111yescharacteristic
655C22C2×#137×C15111yescharacteristic
656C22C2×#137×C15111yescharacteristic
657C22#575×C15111yescharacteristic
658C4—22no—
659C4—22no—
660C4—41no—
661C4—44no—
662C4—44no—
663C4—81no—
664C4—81no—
665C4—81no—
666C4—81no—
667C4D42×C15112yes—
668C4#546×C15112yes—
669C2—24no—
670C2—42no—
671C2—42no—
672C2#2410×C15111yescharacteristic
673C2#3004×C15111yescharacteristic
674C2#3007×C15111yescharacteristic
675C2C2×#470×C15111yescharacteristic
676C2#3056×C15111yescharacteristic
677C2#3195×C15111yescharacteristic
678C2#3196×C15111yescharacteristic
subgroupG/H
center, socleC23×C151C22×D4
commutator, Frattini, cosocleC22×C4C24×C151
prime radicalC25×C151D4
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23×C151 ◁ C24×C4×C151 ◁ G

Complements

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

NH ≅ G/Ntype
2. C2×#470×C151C2semidirect
3. C2×#451×C151C2semidirect
6. #2035×C151C2semidirect
7. #2001×C151C2semidirect
8. #1894×C151C2semidirect
9. #1872×C151C2semidirect
10. #1853×C151C2semidirect
11. #1787×C151C2semidirect
14. C22×Q16×C151C22semidirect
29. C2×#106×C151C22semidirect
30. C2×#103×C151C22semidirect
31. C2×#103×C151C22semidirect
32. C2×#103×C151C22semidirect
33. C2×#103×C151C22semidirect
45. #340×C151C22semidirect
46. #340×C151C22semidirect
310. C22×C151#470semidirect
339. #24386C151direct (N × H)
340. C151#24386direct (N × H)
342. C2×#470C2×C151semidirect
343. C2×#451C2×C151semidirect
346. #2035C2×C151semidirect
347. #2001C2×C151semidirect
348. #1894C2×C151semidirect
349. #1872C2×C151semidirect
350. #1853C2×C151semidirect
351. #1787C2×C151semidirect
354. C22×Q16C22×C151semidirect
369. C2×#106C22×C151semidirect
370. C2×#103C22×C151semidirect
371. C2×#103C22×C151semidirect
372. C2×#103C22×C151semidirect
373. C2×#103C22×C151semidirect
385. #340C22×C151semidirect
386. #340C22×C151semidirect
650. C22#470×C151semidirect

Maximal subgroups

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

subgroupindex
C22×C22⋊Q8×C1512
C2×#470×C1512
C2×#451×C1512
C2×#407×C1512
#2848×C1512
#2035×C1512
#2001×C1512
#1894×C1512
#1872×C1512
#1853×C1512
#1787×C1512
#24386151