Finite Group Databasebeta

← C151×#23927 #50328852

Subgroups — C151×#23927 #50328852

Order 38656.

1760 conjugacy classes of subgroups.

The subgroup lattice has 708 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#537×C151C211yesmaximal, characteristic
2C2×#536×C151C211yesmaximal, characteristic, complemented
3C2×#452×C151C212yesmaximal, complemented
4C2×#451×C151C211yesmaximal, characteristic, complemented
5C2×#448×C151C211yesmaximal, characteristic, complemented
6#2001×C151C212yesmaximal, complemented
7#2000×C151C212yesmaximal, complemented
8#1875×C151C211yesmaximal, characteristic, complemented
9#1873×C151C211yesmaximal, characteristic, complemented
10#1872×C151C212yesmaximal, complemented
11#1780×C151C211yesmaximal, characteristic, complemented
12C22×#41×C151C2211yescharacteristic
13C22×#41×C151C2211yescharacteristic
14C23×Q8×C151C2211yescharacteristic
15C22×Q16×C151C2212yes—
16C22×SD16×C151C2212yes—
17#537×C151—24no—
18#537×C151—24no—
19#536×C151—28no—
20C2×C4⋊Q8×C151—21no—
21C2×#124×C151—21no—
22C2×#123×C151—21no—
23C2×#123×C151—21no—
24C2×C22⋊Q8×C151—21no—
25C2×C22⋊Q8×C151C2212yes—
26C2×C22⋊Q8×C151C2211yescharacteristic
27C2×C22⋊Q8×C151C2211yescharacteristic
28C2×C22⋊Q8×C151C2212yes—
29C2×#121×C151—21no—
30C2×#121×C151—21no—
31C2×#121×C151—21no—
32C2×#121×C151C2211yescharacteristic
33C2×#121×C151C2211yescharacteristic
34C2×#117×C151C2211yescharacteristic
35C22×C4⋊C4×C151C2211yescharacteristic
36#452×C151—28no—
37#451×C151—24no—
38#448×C151—24no—
39C2×#103×C151C2212yes—
40C2×#103×C151C2212yes—
41C2×#103×C151C2212yes—
42C2×#102×C151C2212yes—
43C2×C22⋊C8×C151C2212yes—
44C2×C22⋊C8×C151C2211yescharacteristic
45C2×C22⋊C8×C151C2211yescharacteristic
46C2×C22⋊C8×C151C2212yes—
47#340×C151C2212yes—
48#340×C151C2212yes—
49C2×#41×C151—22no—
50C2×#41×C151—24no—
51C2×#41×C151—22no—
52C2×#41×C151—22no—
53C2×#41×C151—24no—
54C2×#41×C151—22no—
55C2×#41×C151—42no—
56C2×#41×C151—42no—
57C22×Q8×C151—21no—
58C22×Q8×C151—24no—
59C22×Q8×C151—22no—
60C22×Q8×C151—22no—
61C22×Q8×C151—42no—
62C22×Q8×C151D411yescharacteristic
63C22×Q8×C151C2312yes—
64C22×Q8×C151C2311yescharacteristic
65C22×D4×C151—21no—
66C22×D4×C151—21no—
67C22×D4×C151—21no—
68C22×D4×C151D411yescharacteristic
69C22×D4×C151D411yescharacteristic
70C22×D4×C151D411yescharacteristic
71C22×D4×C151C2311yescharacteristic
72C23×C4×C151—21no—
73C23×C4×C151—21no—
74C23×C4×C151—21no—
75C23×C4×C151C2311yescharacteristic
76C23×C4×C151C2311yescharacteristic
77C23×C4×C151C2311yescharacteristic
78C2×Q16×C151—24no—
79C2×Q16×C151—24no—
80C2×Q16×C151—42no—
81C2×SD16×C151—24no—
82C2×SD16×C151—24no—
83C2×SD16×C151—42no—
84C22×C8×C151C2312yes—
85C22×C8×C151C2312yes—
86C4⋊Q8×C151—28no—
87#124×C151—28no—
88#123×C151—28no—
89#123×C151—28no—
90C22⋊Q8×C151—28no—
91C22⋊Q8×C151—24no—
92C22⋊Q8×C151—22no—
93C22⋊Q8×C151—24no—
94C22⋊Q8×C151—22no—
95C22⋊Q8×C151—24no—
96C22⋊Q8×C151—22no—
97C22⋊Q8×C151D414yes—
98C22⋊Q8×C151D418yescomplemented
99#121×C151—28no—
100#121×C151—28no—
101#121×C151—28no—
102#121×C151—22no—
103#121×C151—22no—
104#121×C151—22no—
105#121×C151D414yes—
106#117×C151—24no—
107C2×C4⋊C4×C151—21no—
108C2×C4⋊C4×C151—21no—
109C2×C4⋊C4×C151—21no—
110C2×C4⋊C4×C151—22no—
111C2×C4⋊C4×C151—22no—
112C2×C4⋊C4×C151—22no—
113C2×C4⋊C4×C151—22no—
114C2×C4⋊C4×C151C2312yes—
115C2×C4⋊C4×C151C2311yescharacteristic
116C2×C4⋊C4×C151C2311yescharacteristic
117C2×C22⋊C4×C151—21no—
118C2×C22⋊C4×C151—21no—
119C2×C22⋊C4×C151—21no—
120C2×C22⋊C4×C151—21no—
121C2×C22⋊C4×C151—21no—
122C2×C22⋊C4×C151—22no—
123C2×C22⋊C4×C151—22no—
124C2×C42×C151—21no—
125#103×C151—24no—
126#103×C151—24no—
127#103×C151—24no—
128#102×C151—24no—
129C22⋊C8×C151—22no—
130C22⋊C8×C151—22no—
131C22⋊C8×C151—24no—
132C22⋊C8×C151—42no—
133C24×C151—21no—
134C24×C151C2×D411yescharacteristic
135C24×C151C2×D411yescharacteristic
136C24×C151C2×D411yescharacteristic
137#41×C151—48no—
138#41×C151—48no—
139#41×C151—48no—
140#41×C151—48no—
141C2×Q8×C151—24no—
142C2×Q8×C151—22no—
143C2×Q8×C151—22no—
144C2×Q8×C151—22no—
145C2×Q8×C151—21no—
146C2×Q8×C151—22no—
147C2×Q8×C151—22no—
148C2×Q8×C151—22no—
149C2×Q8×C151—22no—
150C2×Q8×C151—22no—
151C2×Q8×C151—22no—
152C2×Q8×C151—41no—
153C2×Q8×C151—48no—
154C2×Q8×C151—48no—
155C2×Q8×C151—42no—
156C2×Q8×C151—42no—
157C2×Q8×C151C2×D412yes—
158C2×Q8×C151C2×D414yes—
159C2×D4×C151—24no—
160C2×D4×C151—22no—
161C2×D4×C151—22no—
162C2×D4×C151—22no—
163C2×D4×C151—22no—
164C2×D4×C151—24no—
165C2×D4×C151—24no—
166C2×D4×C151—22no—
167C2×D4×C151—22no—
168C2×D4×C151—22no—
169C2×D4×C151—21no—
170C2×D4×C151—22no—
171C2×D4×C151—41no—
172C2×D4×C151—41no—
173C2×D4×C151—41no—
174C2×D4×C151—42no—
175C2×D4×C151—42no—
176C2×D4×C151—82no—
177C2×D4×C151—82no—
178C2×D4×C151C2×D412yes—
179C22×C4×C151—21no—
180C22×C4×C151—21no—
181C22×C4×C151—22no—
182C22×C4×C151—22no—
183C22×C4×C151—22no—
184C22×C4×C151—24no—
185C22×C4×C151—24no—
186C22×C4×C151—22no—
187C22×C4×C151—21no—
188C22×C4×C151—21no—
189C22×C4×C151—21no—
190C22×C4×C151—22no—
191C22×C4×C151—24no—
192C22×C4×C151—21no—
193C22×C4×C151—21no—
194C22×C4×C151—22no—
195C22×C4×C151—22no—
196C22×C4×C151—42no—
197C22×C4×C151—42no—
198C22×C4×C151—42no—
199C22×C4×C151—42no—
200C22×C4×C151—82no—
201C22×C4×C151C2×D411yescharacteristic
202C22×C4×C151C2×D411yescharacteristic
203C22×C4×C151C2×D411yescharacteristic
204C22×C4×C151C2×D412yes—
205C22×C4×C151C2×D412yes—
206C22×C4×C151C2×D414yes—
207C22×C4×C151C2411yescharacteristic
208Q16×C151—48no—
209SD16×C151—48no—
210C2×C8×C151—22no—
211C2×C8×C151—22no—
212C2×C8×C151—22no—
213C2×C8×C151—22no—
214C2×C8×C151—22no—
215C2×C8×C151—22no—
216C4⋊C4×C151—24no—
217C4⋊C4×C151—24no—
218C4⋊C4×C151—28no—
219C4⋊C4×C151—24no—
220C4⋊C4×C151—28no—
221C4⋊C4×C151—21no—
222C4⋊C4×C151—21no—
223C4⋊C4×C151—22no—
224C4⋊C4×C151C2×D414yes—
225C4⋊C4×C151C2×D412yes—
226C4⋊C4×C151C2×D412yes—
227C22⋊C4×C151—24no—
228C22⋊C4×C151—24no—
229C22⋊C4×C151—24no—
230C22⋊C4×C151—28no—
231C22⋊C4×C151—24no—
232C22⋊C4×C151—28no—
233C22⋊C4×C151—24no—
234C42×C151—24no—
235C23×C151—21no—
236C23×C151—21no—
237C23×C151—21no—
238C23×C151—21no—
239C23×C151—22no—
240C23×C151—22no—
241C23×C151—22no—
242C23×C151—22no—
243C23×C151—22no—
244C23×C151—21no—
245C23×C151—21no—
246C23×C151—21no—
247C23×C151—22no—
248C23×C151—22no—
249C23×C151—41no—
250C23×C151—41no—
251C23×C151—42no—
252C23×C151—42no—
253C23×C151#12012yes—
254C23×C151#12012yes—
255C23×C151C22×D411yescharacteristic
256Q8×C151—24no—
257Q8×C151—24no—
258Q8×C151—24no—
259Q8×C151—44no—
260Q8×C151—48no—
261Q8×C151—42no—
262Q8×C151—42no—
263Q8×C151—42no—
264D4×C151—24no—
265D4×C151—44no—
266D4×C151—44no—
267D4×C151—44no—
268D4×C151—48no—
269D4×C151—42no—
270D4×C151—84no—
271D4×C151—84no—
272C2×C4×C151—21no—
273C2×C4×C151—21no—
274C2×C4×C151—21no—
275C2×C4×C151—21no—
276C2×C4×C151—24no—
277C2×C4×C151—24no—
278C2×C4×C151—24no—
279C2×C4×C151—24no—
280C2×C4×C151—24no—
281C2×C4×C151—21no—
282C2×C4×C151—21no—
283C2×C4×C151—22no—
284C2×C4×C151—24no—
285C2×C4×C151—22no—
286C2×C4×C151—22no—
287C2×C4×C151—21no—
288C2×C4×C151—48no—
289C2×C4×C151—48no—
290C2×C4×C151—42no—
291C2×C4×C151—41no—
292C2×C4×C151—42no—
293C2×C4×C151—41no—
294C2×C4×C151—42no—
295C2×C4×C151—42no—
296C2×C4×C151—42no—
297C2×C4×C151—42no—
298C2×C4×C151—42no—
299C2×C4×C151—42no—
300C2×C4×C151—84no—
301C2×C4×C151#12012yes—
302C2×C4×C151#12012yes—
303C2×C4×C151C22×D411yescharacteristic
304C2×C4×C151C22×D412yes—
305C2×C4×C151C22×D411yescharacteristic
306C2×C4×C151H(5,𝔽2)12yes—
307C8×C151—42no—
308C8×C151—42no—
309C22×C151—22no—
310C22×C151—22no—
311C22×C151—22no—
312C22×C151—22no—
313C22×C151—24no—
314C22×C151—42no—
315C22×C151—42no—
316C22×C151—41no—
317C22×C151—41no—
318C22×C151—42no—
319C22×C151—42no—
320C22×C151—41no—
321C22×C151—42no—
322C22×C151—41no—
323C22×C151—42no—
324C22×C151—41no—
325C22×C151—42no—
326C22×C151—42no—
327C22×C151—82no—
328C22×C151—82no—
329C22×C151C2×#12011yescharacteristic
330C22×C151C2×#12011yescharacteristic
331C22×C151#53411yescharacteristic
332C22×C151#57712yes—
333C22×C151#57812yes—
334C4×C151—22no—
335C4×C151—22no—
336C4×C151—41no—
337C4×C151—42no—
338C4×C151—44no—
339C4×C151—42no—
340C4×C151—42no—
341C4×C151—44no—
342C4×C151D4212yes—
343C4×C151D4212yes—
344C2×C151—42no—
345C2×C151—42no—
346C2×C151—81no—
347C2×C151—82no—
348C2×C151#240311yescharacteristic
349C2×C151#300911yescharacteristic
350C2×C151#301111yescharacteristic
351C2×C151#301312yes—
352C2×C151#320112yes—
353#23927C15111yesmaximal, characteristic, direct product factor, Sylow
354C151#2392711yescharacteristic, direct product factor, Sylow
355C2×#537C2×C15111yescharacteristic
356C2×#536C2×C15111yescharacteristic, complemented
357C2×#452C2×C15112yescomplemented
358C2×#451C2×C15111yescharacteristic, complemented
359C2×#448C2×C15111yescharacteristic, complemented
360#2001C2×C15112yescomplemented
361#2000C2×C15112yescomplemented
362#1875C2×C15111yescharacteristic, complemented
363#1873C2×C15111yescharacteristic, complemented
364#1872C2×C15112yescomplemented
365#1780C2×C15111yescharacteristic, complemented
366C22×#41C22×C15111yescharacteristic
367C22×#41C22×C15111yescharacteristic
368C23×Q8C22×C15111yescharacteristic
369C22×Q16C22×C15112yes—
370C22×SD16C22×C15112yes—
371#537—24no—
372#537—24no—
373#536—28no—
374C2×C4⋊Q8—21no—
375C2×#124—21no—
376C2×#123—21no—
377C2×#123—21no—
378C2×C22⋊Q8—21no—
379C2×C22⋊Q8C22×C15112yes—
380C2×C22⋊Q8C22×C15111yescharacteristic
381C2×C22⋊Q8C22×C15111yescharacteristic
382C2×C22⋊Q8C22×C15112yes—
383C2×#121—21no—
384C2×#121—21no—
385C2×#121—21no—
386C2×#121C22×C15111yescharacteristic
387C2×#121C22×C15111yescharacteristic
388C2×#117C22×C15111yescharacteristic
389C22×C4⋊C4C22×C15111yescharacteristic
390#452—28no—
391#451—24no—
392#448—24no—
393C2×#103C22×C15112yes—
394C2×#103C22×C15112yes—
395C2×#103C22×C15112yes—
396C2×#102C22×C15112yes—
397C2×C22⋊C8C22×C15112yes—
398C2×C22⋊C8C22×C15111yescharacteristic
399C2×C22⋊C8C22×C15111yescharacteristic
400C2×C22⋊C8C22×C15112yes—
401#340C22×C15112yes—
402#340C22×C15112yes—
403C2×#41—22no—
404C2×#41—22no—
405C2×#41—24no—
406C2×#41—22no—
407C2×#41—22no—
408C2×#41—24no—
409C2×#41—42no—
410C2×#41—42no—
411C22×Q8—24no—
412C22×Q8—21no—
413C22×Q8—22no—
414C22×Q8—22no—
415C22×Q8—42no—
416C22×Q8D4×C15111yescharacteristic
417C22×Q8C23×C15112yes—
418C22×Q8C23×C15111yescharacteristic
419C22×D4—21no—
420C22×D4—21no—
421C22×D4—21no—
422C22×D4D4×C15111yescharacteristic
423C22×D4D4×C15111yescharacteristic
424C22×D4D4×C15111yescharacteristic
425C22×D4C23×C15111yescharacteristic
426C23×C4—21no—
427C23×C4—21no—
428C23×C4—21no—
429C23×C4C23×C15111yescharacteristic
430C23×C4C23×C15111yescharacteristic
431C23×C4C23×C15111yescharacteristic
432C2×Q16—24no—
433C2×Q16—24no—
434C2×Q16—42no—
435C2×SD16—24no—
436C2×SD16—24no—
437C2×SD16—42no—
438C22×C8C23×C15112yes—
439C22×C8C23×C15112yes—
440C4⋊Q8—28no—
441#124—28no—
442#123—28no—
443#123—28no—
444C22⋊Q8—28no—
445C22⋊Q8—24no—
446C22⋊Q8—22no—
447C22⋊Q8—24no—
448C22⋊Q8—22no—
449C22⋊Q8—24no—
450C22⋊Q8—22no—
451C22⋊Q8D4×C15114yes—
452C22⋊Q8D4×C15118yescomplemented
453#121—28no—
454#121—28no—
455#121—28no—
456#121—22no—
457#121—22no—
458#121—22no—
459#121D4×C15114yes—
460#117—24no—
461C2×C4⋊C4—21no—
462C2×C4⋊C4—21no—
463C2×C4⋊C4—21no—
464C2×C4⋊C4—22no—
465C2×C4⋊C4—22no—
466C2×C4⋊C4—22no—
467C2×C4⋊C4—22no—
468C2×C4⋊C4C23×C15111yescharacteristic
469C2×C4⋊C4C23×C15111yescharacteristic
470C2×C4⋊C4C23×C15112yes—
471C2×C22⋊C4—21no—
472C2×C22⋊C4—21no—
473C2×C22⋊C4—21no—
474C2×C22⋊C4—22no—
475C2×C22⋊C4—22no—
476C2×C22⋊C4—21no—
477C2×C22⋊C4—21no—
478C2×C42—21no—
479#103—24no—
480#103—24no—
481#103—24no—
482#102—24no—
483C22⋊C8—22no—
484C22⋊C8—22no—
485C22⋊C8—24no—
486C22⋊C8—42no—
487C24—21no—
488C24C2×D4×C15111yescharacteristic
489C24C2×D4×C15111yescharacteristic
490C24C2×D4×C15111yescharacteristic
491#41—48no—
492#41—48no—
493#41—48no—
494#41—48no—
495C2×Q8—24no—
496C2×Q8—22no—
497C2×Q8—22no—
498C2×Q8—22no—
499C2×Q8—21no—
500C2×Q8—22no—
501C2×Q8—22no—
502C2×Q8—22no—
503C2×Q8—22no—
504C2×Q8—22no—
505C2×Q8—22no—
506C2×Q8—41no—
507C2×Q8—48no—
508C2×Q8—48no—
509C2×Q8—42no—
510C2×Q8—42no—
511C2×Q8C2×D4×C15112yes—
512C2×Q8C2×D4×C15114yes—
513C2×D4—24no—
514C2×D4—22no—
515C2×D4—22no—
516C2×D4—22no—
517C2×D4—22no—
518C2×D4—24no—
519C2×D4—24no—
520C2×D4—22no—
521C2×D4—22no—
522C2×D4—22no—
523C2×D4—21no—
524C2×D4—22no—
525C2×D4—41no—
526C2×D4—41no—
527C2×D4—41no—
528C2×D4—42no—
529C2×D4—42no—
530C2×D4—82no—
531C2×D4—82no—
532C2×D4C2×D4×C15112yes—
533C22×C4—21no—
534C22×C4—21no—
535C22×C4—22no—
536C22×C4—22no—
537C22×C4—22no—
538C22×C4—24no—
539C22×C4—24no—
540C22×C4—22no—
541C22×C4—21no—
542C22×C4—21no—
543C22×C4—21no—
544C22×C4—22no—
545C22×C4—24no—
546C22×C4—21no—
547C22×C4—21no—
548C22×C4—22no—
549C22×C4—22no—
550C22×C4—42no—
551C22×C4—42no—
552C22×C4—42no—
553C22×C4—42no—
554C22×C4—82no—
555C22×C4C2×D4×C15111yescharacteristic
556C22×C4C2×D4×C15111yescharacteristic
557C22×C4C2×D4×C15111yescharacteristic
558C22×C4C2×D4×C15112yes—
559C22×C4C2×D4×C15112yes—
560C22×C4C2×D4×C15114yes—
561C22×C4C24×C15111yescharacteristic
562Q16—48no—
563SD16—48no—
564C2×C8—22no—
565C2×C8—22no—
566C2×C8—22no—
567C2×C8—22no—
568C2×C8—22no—
569C2×C8—22no—
570C4⋊C4—24no—
571C4⋊C4—24no—
572C4⋊C4—28no—
573C4⋊C4—24no—
574C4⋊C4—28no—
575C4⋊C4—21no—
576C4⋊C4—21no—
577C4⋊C4—22no—
578C4⋊C4C2×D4×C15114yes—
579C4⋊C4C2×D4×C15112yes—
580C4⋊C4C2×D4×C15112yes—
581C22⋊C4—24no—
582C22⋊C4—24no—
583C22⋊C4—24no—
584C22⋊C4—28no—
585C22⋊C4—24no—
586C22⋊C4—28no—
587C22⋊C4—24no—
588C42—24no—
589C23—21no—
590C23—21no—
591C23—21no—
592C23—21no—
593C23—22no—
594C23—22no—
595C23—22no—
596C23—22no—
597C23—21no—
598C23—21no—
599C23—22no—
600C23—21no—
601C23—22no—
602C23—22no—
603C23—41no—
604C23—41no—
605C23—42no—
606C23—42no—
607C23#120×C15112yes—
608C23#120×C15112yes—
609C23C22×D4×C15111yescharacteristic
610Q8—24no—
611Q8—24no—
612Q8—24no—
613Q8—44no—
614Q8—48no—
615Q8—42no—
616Q8—42no—
617Q8—42no—
618D4—24no—
619D4—44no—
620D4—44no—
621D4—44no—
622D4—48no—
623D4—42no—
624D4—84no—
625D4—84no—
626C2×C4—21no—
627C2×C4—21no—
628C2×C4—21no—
629C2×C4—21no—
630C2×C4—24no—
631C2×C4—24no—
632C2×C4—24no—
633C2×C4—24no—
634C2×C4—24no—
635C2×C4—22no—
636C2×C4—22no—
637C2×C4—22no—
638C2×C4—24no—
639C2×C4—21no—
640C2×C4—21no—
641C2×C4—21no—
642C2×C4—48no—
643C2×C4—48no—
644C2×C4—41no—
645C2×C4—42no—
646C2×C4—41no—
647C2×C4—42no—
648C2×C4—42no—
649C2×C4—42no—
650C2×C4—42no—
651C2×C4—42no—
652C2×C4—42no—
653C2×C4—42no—
654C2×C4—84no—
655C2×C4#120×C15112yes—
656C2×C4#120×C15112yes—
657C2×C4C22×D4×C15112yes—
658C2×C4C22×D4×C15111yescharacteristic
659C2×C4C22×D4×C15111yescharacteristic
660C2×C4H(5,𝔽2)×C15112yes—
661C8—42no—
662C8—42no—
663C22—22no—
664C22—22no—
665C22—22no—
666C22—22no—
667C22—24no—
668C22—42no—
669C22—42no—
670C22—41no—
671C22—41no—
672C22—42no—
673C22—42no—
674C22—41no—
675C22—42no—
676C22—41no—
677C22—42no—
678C22—41no—
679C22—42no—
680C22—42no—
681C22—82no—
682C22—82no—
683C22C2×#120×C15111yescharacteristic
684C22C2×#120×C15111yescharacteristic
685C22#534×C15111yescharacteristic
686C22#577×C15112yes—
687C22#578×C15112yes—
688C4—22no—
689C4—22no—
690C4—41no—
691C4—42no—
692C4—44no—
693C4—42no—
694C4—42no—
695C4—44no—
696C4D42×C15112yes—
697C4D42×C15112yes—
698C2—42no—
699C2—42no—
700C2—81no—
701C2—82no—
702C2#2403×C15111yescharacteristic
703C2#3009×C15111yescharacteristic
704C2#3011×C15111yescharacteristic
705C2#3013×C15112yes—
706C2#3201×C15112yes—
subgroupG/H
center, socleC23×C151C22×D4
commutator, Frattini, cosocleC22×C4C24×C151
prime radicalC2×#537×C151C2
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23×C151 ◁ C22×#41×C151 ◁ G

Complements

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

NH ≅ G/Ntype
2. C2×#536×C151C2semidirect
3. C2×#452×C151C2semidirect
4. C2×#451×C151C2semidirect
5. C2×#448×C151C2semidirect
6. #2001×C151C2semidirect
7. #2000×C151C2semidirect
8. #1875×C151C2semidirect
9. #1873×C151C2semidirect
10. #1872×C151C2semidirect
11. #1780×C151C2semidirect
98. C22⋊Q8×C151D4semidirect
353. #23927C151direct (N × H)
354. C151#23927direct (N × H)
356. C2×#536C2×C151semidirect
357. C2×#452C2×C151semidirect
358. C2×#451C2×C151semidirect
359. C2×#448C2×C151semidirect
360. #2001C2×C151semidirect
361. #2000C2×C151semidirect
362. #1875C2×C151semidirect
363. #1873C2×C151semidirect
364. #1872C2×C151semidirect
365. #1780C2×C151semidirect
452. C22⋊Q8D4×C151semidirect

Maximal subgroups

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

subgroupindex
C2×#537×C1512
C2×#536×C1512
C2×#452×C1512
C2×#451×C1512
C2×#448×C1512
#2001×C1512
#2000×C1512
#1875×C1512
#1873×C1512
#1872×C1512
#1780×C1512
#23927151