Finite Group Databasebeta

← C151×#24262 #50329187

Subgroups — C151×#24262 #50329187

Order 38656.

1654 conjugacy classes of subgroups.

The subgroup lattice has 694 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#3496×C151C211yesmaximal, characteristic, complemented
2C2×B(4,𝔽2)×C151C212yesmaximal, complemented
3#2617×C151C212yesmaximal, complemented
4#2321×C151C211yesmaximal, characteristic, complemented
5#2044×C151C212yesmaximal, complemented
6#2021×C151C212yesmaximal, complemented
7#1964×C151C212yesmaximal, complemented
8#1799×C151C211yesmaximal, characteristic, complemented
9#1790×C151C212yesmaximal, complemented
10C2×H(5,𝔽2)×C151C2212yes—
11#547×C151—22no—
12#546×C151—24no—
13D42×C151—22no—
14#537×C151—21no—
15#534×C151—21no—
16#534×C151C2212yes—
17#532×C151—21no—
18C2×#121×C151—21no—
19C2×#121×C151C2212yes—
20C2×#120×C151C2211yescharacteristic
21C2×#120×C151C2214yescomplemented
22C2×C4×D4×C151C2211yescharacteristic
23C22×C22⋊C4×C151C2211yescharacteristic, complemented
24B(4,𝔽2)×C151—28no—
25C2×#99×C151C2212yes—
26C2×#99×C151C2214yescomplemented
27C2×#99×C151C2214yescomplemented
28#397×C151—22no—
29#394×C151—24no—
30#392×C151—22no—
31#390×C151—21no—
32#388×C151—21no—
33#388×C151—21no—
34#386×C151—21no—
35#386×C151C2211yescharacteristic
36#386×C151C2214yescomplemented
37#385×C151C2211yescharacteristic, complemented
38#380×C151C2212yescomplemented
39#379×C151C2211yescharacteristic, complemented
40C4×C22⋊C4×C151C2211yescharacteristic, complemented
41#342×C151C2212yescomplemented
42C25×C151C2311yescharacteristic
43H(5,𝔽2)×C151—24no—
44H(5,𝔽2)×C151—24no—
45H(5,𝔽2)×C151—44no—
46C2×#41×C151—22no—
47C2×#41×C151—24no—
48C22×D4×C151—21no—
49C22×D4×C151—22no—
50C22×D4×C151—24no—
51C22×D4×C151—21no—
52C22×D4×C151—24no—
53C22×D4×C151D412yescomplemented
54C22×D4×C151C2314yes—
55C22×D4×C151C2311yescharacteristic
56C23×C4×C151D411yescharacteristic, complemented
57C23×C4×C151C2311yescharacteristic
58C23×C4×C151C2311yescharacteristic
59C4⋊Q8×C151—21no—
60#127×C151—21no—
61#124×C151—22no—
62#123×C151—24no—
63#123×C151—24no—
64C22⋊Q8×C151—24no—
65#121×C151—22no—
66#121×C151—22no—
67#121×C151—24no—
68#121×C151—22no—
69#121×C151—22no—
70#121×C151—22no—
71#121×C151—22no—
72#121×C151—22no—
73#121×C151—22no—
74#120×C151—24no—
75#120×C151—22no—
76#120×C151—24no—
77#120×C151—28no—
78#120×C151—44no—
79#120×C151D414yescomplemented
80C4×D4×C151—22no—
81C4×D4×C151—22no—
82C4×D4×C151—22no—
83C4×D4×C151—22no—
84C2×C4⋊C4×C151—21no—
85C2×C4⋊C4×C151—22no—
86C2×C4⋊C4×C151—21no—
87C2×C4⋊C4×C151D411yescharacteristic, complemented
88C2×C4⋊C4×C151D412yescomplemented
89C2×C22⋊C4×C151—22no—
90C2×C22⋊C4×C151—21no—
91C2×C22⋊C4×C151—21no—
92C2×C22⋊C4×C151—21no—
93C2×C22⋊C4×C151—22no—
94C2×C22⋊C4×C151—22no—
95C2×C22⋊C4×C151—24no—
96C2×C22⋊C4×C151—21no—
97C2×C22⋊C4×C151—21no—
98C2×C22⋊C4×C151—21no—
99C2×C22⋊C4×C151—24no—
100C2×C22⋊C4×C151D411yescharacteristic, complemented
101C2×C22⋊C4×C151D414yescomplemented
102C2×C22⋊C4×C151C2314yes—
103C2×C22⋊C4×C151C2311yescharacteristic
104C2×C22⋊C4×C151C2311yescharacteristic
105C2×C22⋊C4×C151C2311yescharacteristic
106C2×C42×C151—21no—
107C2×C42×C151D411yescharacteristic, complemented
108#99×C151—24no—
109#99×C151—28no—
110#99×C151—44no—
111#95×C151—21no—
112#95×C151—22no—
113#95×C151—21no—
114#95×C151—21no—
115#95×C151—24no—
116C24×C151—22no—
117C24×C151—21no—
118C24×C151—22no—
119C24×C151—21no—
120C24×C151—22no—
121C24×C151—81no—
122C24×C151—81no—
123C24×C151C2×D414yes—
124C24×C151C2×D411yescharacteristic
125C24×C151C2×D412yescomplemented
126C24×C151C2411yescharacteristic
127#41×C151—48no—
128#41×C151—48no—
129#41×C151—44no—
130#41×C151—44no—
131C2×Q8×C151—22no—
132C2×D4×C151—22no—
133C2×D4×C151—22no—
134C2×D4×C151—24no—
135C2×D4×C151—22no—
136C2×D4×C151—24no—
137C2×D4×C151—24no—
138C2×D4×C151—24no—
139C2×D4×C151—24no—
140C2×D4×C151—24no—
141C2×D4×C151—24no—
142C2×D4×C151—22no—
143C2×D4×C151—22no—
144C2×D4×C151—24no—
145C2×D4×C151—22no—
146C2×D4×C151—22no—
147C2×D4×C151—48no—
148C2×D4×C151—48no—
149C2×D4×C151—44no—
150C2×D4×C151—44no—
151C2×D4×C151—48no—
152C2×D4×C151—82no—
153C2×D4×C151—82no—
154C2×D4×C151—81no—
155C2×D4×C151—81no—
156C2×D4×C151—84no—
157C2×D4×C151—84no—
158C2×D4×C151C2×D412yes—
159C2×D4×C151#4112yes—
160C22×C4×C151—22no—
161C22×C4×C151—24no—
162C22×C4×C151—21no—
163C22×C4×C151—21no—
164C22×C4×C151—21no—
165C22×C4×C151—21no—
166C22×C4×C151—22no—
167C22×C4×C151—21no—
168C22×C4×C151—24no—
169C22×C4×C151—81no—
170C22×C4×C151—81no—
171C22×C4×C151—81no—
172C22×C4×C151C2×D414yes—
173C22×C4×C151C2×D411yescharacteristic
174C22×C4×C151C2×D411yescharacteristic
175C22×C4×C151C2×D411yescharacteristic
176C22×C4×C151C2×D411yescharacteristic
177C22×C4×C151C2×D412yes—
178C22×C4×C151C2×D411yescharacteristic
179C22×C4×C151C2×D412yes—
180C4⋊C4×C151—22no—
181C4⋊C4×C151—22no—
182C4⋊C4×C151—22no—
183C4⋊C4×C151—22no—
184C4⋊C4×C151—22no—
185C4⋊C4×C151—82no—
186C4⋊C4×C151—81no—
187C22⋊C4×C151—24no—
188C22⋊C4×C151—24no—
189C22⋊C4×C151—22no—
190C22⋊C4×C151—21no—
191C22⋊C4×C151—24no—
192C22⋊C4×C151—22no—
193C22⋊C4×C151—24no—
194C22⋊C4×C151—24no—
195C22⋊C4×C151—24no—
196C22⋊C4×C151—22no—
197C22⋊C4×C151—24no—
198C22⋊C4×C151—48no—
199C22⋊C4×C151—41no—
200C22⋊C4×C151—41no—
201C22⋊C4×C151—42no—
202C22⋊C4×C151—81no—
203C22⋊C4×C151—81no—
204C22⋊C4×C151—81no—
205C22⋊C4×C151—84no—
206C22⋊C4×C151C2×D412yescomplemented
207C42×C151—21no—
208C42×C151—21no—
209C42×C151—81no—
210C23×C151—21no—
211C23×C151—21no—
212C23×C151—24no—
213C23×C151—22no—
214C23×C151—24no—
215C23×C151—24no—
216C23×C151—24no—
217C23×C151—41no—
218C23×C151—41no—
219C23×C151—41no—
220C23×C151—41no—
221C23×C151—41no—
222C23×C151—41no—
223C23×C151—41no—
224C23×C151—44no—
225C23×C151—41no—
226C23×C151—44no—
227C23×C151—44no—
228C23×C151—44no—
229C23×C151—44no—
230C23×C151—41no—
231C23×C151—41no—
232C23×C151—42no—
233C23×C151—82no—
234C23×C151—82no—
235C23×C151—84no—
236C23×C151—82no—
237C23×C151—82no—
238C23×C151#12112yes—
239C23×C151C22×D411yescharacteristic
240C23×C151C22×D412yes—
241C23×C151C22×D411yescharacteristic
242C23×C151C2×#4111yescharacteristic
243C23×C151H(5,𝔽2)12yes—
244Q8×C151—44no—
245D4×C151—24no—
246D4×C151—24no—
247D4×C151—44no—
248D4×C151—44no—
249D4×C151—48no—
250D4×C151—44no—
251D4×C151—44no—
252D4×C151—44no—
253D4×C151—44no—
254D4×C151—82no—
255D4×C151—82no—
256D4×C151—84no—
257D4×C151—82no—
258D4×C151—816no—
259C2×C4×C151—21no—
260C2×C4×C151—21no—
261C2×C4×C151—24no—
262C2×C4×C151—21no—
263C2×C4×C151—21no—
264C2×C4×C151—22no—
265C2×C4×C151—24no—
266C2×C4×C151—24no—
267C2×C4×C151—41no—
268C2×C4×C151—42no—
269C2×C4×C151—41no—
270C2×C4×C151—42no—
271C2×C4×C151—48no—
272C2×C4×C151—42no—
273C2×C4×C151—44no—
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—44no—
282C2×C4×C151—44no—
283C2×C4×C151—41no—
284C2×C4×C151—44no—
285C2×C4×C151—41no—
286C2×C4×C151—41no—
287C2×C4×C151—44no—
288C2×C4×C151—81no—
289C2×C4×C151#12011yescharacteristic
290C2×C4×C151#12011yescharacteristic
291C2×C4×C151#12012yes—
292C2×C4×C151#12112yes—
293C22×C151—21no—
294C22×C151—22no—
295C22×C151—21no—
296C22×C151—22no—
297C22×C151—22no—
298C22×C151—41no—
299C22×C151—41no—
300C22×C151—42no—
301C22×C151—42no—
302C22×C151—42no—
303C22×C151—48no—
304C22×C151—42no—
305C22×C151—41no—
306C22×C151—41no—
307C22×C151—44no—
308C22×C151—42no—
309C22×C151—44no—
310C22×C151—44no—
311C22×C151—81no—
312C22×C151—84no—
313C22×C151—84no—
314C22×C151—81no—
315C22×C151—81no—
316C22×C151—84no—
317C22×C151—81no—
318C22×C151—81no—
319C22×C151—164no—
320C22×C151C2×#12011yescharacteristic
321C22×C151C2×#12111yescharacteristic
322C22×C151#53511yescharacteristic
323C22×C151D4212yes—
324C22×C151#54612yes—
325C4×C151—22no—
326C4×C151—21no—
327C4×C151—21no—
328C4×C151—22no—
329C4×C151—42no—
330C4×C151—44no—
331C4×C151—41no—
332C4×C151—41no—
333C4×C151—81no—
334C4×C151—84no—
335C4×C151—81no—
336C2×C151—21no—
337C2×C151—22no—
338C2×C151—21no—
339C2×C151—22no—
340C2×C151—42no—
341C2×C151—82no—
342C2×C151—84no—
343C2×C151#240811yescharacteristic
344C2×C151#302611yescharacteristic
345C2×C151#302711yescharacteristic
346#24262C15111yesmaximal, characteristic, direct product factor, Sylow
347C151#2426211yescharacteristic, direct product factor, Sylow
348#3496C2×C15111yescharacteristic, complemented
349C2×B(4,𝔽2)C2×C15112yescomplemented
350#2617C2×C15112yescomplemented
351#2321C2×C15111yescharacteristic, complemented
352#2044C2×C15112yescomplemented
353#2021C2×C15112yescomplemented
354#1964C2×C15112yescomplemented
355#1799C2×C15111yescharacteristic, complemented
356#1790C2×C15112yescomplemented
357C2×H(5,𝔽2)C22×C15112yes—
358#547—22no—
359#546—24no—
360D42—22no—
361#537—21no—
362#534—21no—
363#534C22×C15112yes—
364#532—21no—
365C2×#121—21no—
366C2×#121C22×C15112yes—
367C2×#120C22×C15111yescharacteristic
368C2×#120C22×C15114yescomplemented
369C2×C4×D4C22×C15111yescharacteristic
370C22×C22⋊C4C22×C15111yescharacteristic, complemented
371B(4,𝔽2)—28no—
372C2×#99C22×C15112yes—
373C2×#99C22×C15114yescomplemented
374C2×#99C22×C15114yescomplemented
375#397—22no—
376#394—24no—
377#392—22no—
378#390—21no—
379#388—21no—
380#388—21no—
381#386—21no—
382#386C22×C15111yescharacteristic
383#386C22×C15114yescomplemented
384#385C22×C15111yescharacteristic, complemented
385#380C22×C15112yescomplemented
386#379C22×C15111yescharacteristic, complemented
387C4×C22⋊C4C22×C15111yescharacteristic, complemented
388#342C22×C15112yescomplemented
389C25C23×C15111yescharacteristic
390H(5,𝔽2)—24no—
391H(5,𝔽2)—24no—
392H(5,𝔽2)—44no—
393C2×#41—22no—
394C2×#41—24no—
395C22×D4—22no—
396C22×D4—24no—
397C22×D4—21no—
398C22×D4—21no—
399C22×D4—24no—
400C22×D4D4×C15112yescomplemented
401C22×D4C23×C15114yes—
402C22×D4C23×C15111yescharacteristic
403C23×C4D4×C15111yescharacteristic, complemented
404C23×C4C23×C15111yescharacteristic
405C23×C4C23×C15111yescharacteristic
406C4⋊Q8—21no—
407#127—21no—
408#124—22no—
409#123—24no—
410#123—24no—
411C22⋊Q8—24no—
412#121—22no—
413#121—22no—
414#121—24no—
415#121—22no—
416#121—22no—
417#121—22no—
418#121—22no—
419#121—22no—
420#121—22no—
421#120—24no—
422#120—24no—
423#120—22no—
424#120—28no—
425#120—44no—
426#120D4×C15114yescomplemented
427C4×D4—22no—
428C4×D4—22no—
429C4×D4—22no—
430C4×D4—22no—
431C2×C4⋊C4—21no—
432C2×C4⋊C4—22no—
433C2×C4⋊C4—21no—
434C2×C4⋊C4D4×C15111yescharacteristic, complemented
435C2×C4⋊C4D4×C15112yescomplemented
436C2×C22⋊C4—22no—
437C2×C22⋊C4—21no—
438C2×C22⋊C4—21no—
439C2×C22⋊C4—21no—
440C2×C22⋊C4—22no—
441C2×C22⋊C4—22no—
442C2×C22⋊C4—24no—
443C2×C22⋊C4—21no—
444C2×C22⋊C4—24no—
445C2×C22⋊C4—21no—
446C2×C22⋊C4—21no—
447C2×C22⋊C4D4×C15111yescharacteristic, complemented
448C2×C22⋊C4D4×C15114yescomplemented
449C2×C22⋊C4C23×C15114yes—
450C2×C22⋊C4C23×C15111yescharacteristic
451C2×C22⋊C4C23×C15111yescharacteristic
452C2×C22⋊C4C23×C15111yescharacteristic
453C2×C42—21no—
454C2×C42D4×C15111yescharacteristic, complemented
455#99—24no—
456#99—28no—
457#99—44no—
458#95—21no—
459#95—22no—
460#95—21no—
461#95—21no—
462#95—24no—
463C24—22no—
464C24—21no—
465C24—22no—
466C24—21no—
467C24—22no—
468C24—81no—
469C24—81no—
470C24C2×D4×C15114yes—
471C24C2×D4×C15111yescharacteristic
472C24C2×D4×C15112yescomplemented
473C24C24×C15111yescharacteristic
474#41—48no—
475#41—48no—
476#41—44no—
477#41—44no—
478C2×Q8—22no—
479C2×D4—22no—
480C2×D4—22no—
481C2×D4—24no—
482C2×D4—22no—
483C2×D4—24no—
484C2×D4—24no—
485C2×D4—24no—
486C2×D4—24no—
487C2×D4—24no—
488C2×D4—24no—
489C2×D4—22no—
490C2×D4—22no—
491C2×D4—24no—
492C2×D4—22no—
493C2×D4—22no—
494C2×D4—48no—
495C2×D4—48no—
496C2×D4—44no—
497C2×D4—44no—
498C2×D4—48no—
499C2×D4—82no—
500C2×D4—82no—
501C2×D4—81no—
502C2×D4—81no—
503C2×D4—84no—
504C2×D4—84no—
505C2×D4C2×D4×C15112yes—
506C2×D4#41×C15112yes—
507C22×C4—22no—
508C22×C4—24no—
509C22×C4—21no—
510C22×C4—21no—
511C22×C4—21no—
512C22×C4—21no—
513C22×C4—22no—
514C22×C4—21no—
515C22×C4—24no—
516C22×C4—81no—
517C22×C4—81no—
518C22×C4—81no—
519C22×C4C2×D4×C15114yes—
520C22×C4C2×D4×C15111yescharacteristic
521C22×C4C2×D4×C15111yescharacteristic
522C22×C4C2×D4×C15111yescharacteristic
523C22×C4C2×D4×C15111yescharacteristic
524C22×C4C2×D4×C15112yes—
525C22×C4C2×D4×C15111yescharacteristic
526C22×C4C2×D4×C15112yes—
527C4⋊C4—22no—
528C4⋊C4—22no—
529C4⋊C4—22no—
530C4⋊C4—22no—
531C4⋊C4—22no—
532C4⋊C4—82no—
533C4⋊C4—81no—
534C22⋊C4—24no—
535C22⋊C4—24no—
536C22⋊C4—22no—
537C22⋊C4—21no—
538C22⋊C4—24no—
539C22⋊C4—22no—
540C22⋊C4—24no—
541C22⋊C4—24no—
542C22⋊C4—24no—
543C22⋊C4—22no—
544C22⋊C4—24no—
545C22⋊C4—48no—
546C22⋊C4—41no—
547C22⋊C4—41no—
548C22⋊C4—42no—
549C22⋊C4—81no—
550C22⋊C4—81no—
551C22⋊C4—81no—
552C22⋊C4—84no—
553C22⋊C4C2×D4×C15112yescomplemented
554C42—21no—
555C42—21no—
556C42—81no—
557C23—21no—
558C23—21no—
559C23—24no—
560C23—22no—
561C23—24no—
562C23—24no—
563C23—24no—
564C23—41no—
565C23—41no—
566C23—41no—
567C23—41no—
568C23—41no—
569C23—41no—
570C23—41no—
571C23—44no—
572C23—41no—
573C23—44no—
574C23—44no—
575C23—44no—
576C23—44no—
577C23—41no—
578C23—41no—
579C23—42no—
580C23—82no—
581C23—82no—
582C23—84no—
583C23—82no—
584C23—82no—
585C23#121×C15112yes—
586C23C22×D4×C15111yescharacteristic
587C23C22×D4×C15112yes—
588C23C22×D4×C15111yescharacteristic
589C23C2×#41×C15111yescharacteristic
590C23H(5,𝔽2)×C15112yes—
591Q8—44no—
592D4—24no—
593D4—24no—
594D4—44no—
595D4—44no—
596D4—48no—
597D4—44no—
598D4—44no—
599D4—44no—
600D4—44no—
601D4—82no—
602D4—84no—
603D4—82no—
604D4—82no—
605D4—816no—
606C2×C4—21no—
607C2×C4—21no—
608C2×C4—21no—
609C2×C4—21no—
610C2×C4—24no—
611C2×C4—22no—
612C2×C4—24no—
613C2×C4—24no—
614C2×C4—41no—
615C2×C4—42no—
616C2×C4—41no—
617C2×C4—42no—
618C2×C4—42no—
619C2×C4—48no—
620C2×C4—41no—
621C2×C4—41no—
622C2×C4—44no—
623C2×C4—41no—
624C2×C4—41no—
625C2×C4—41no—
626C2×C4—41no—
627C2×C4—41no—
628C2×C4—44no—
629C2×C4—44no—
630C2×C4—41no—
631C2×C4—44no—
632C2×C4—41no—
633C2×C4—41no—
634C2×C4—44no—
635C2×C4—81no—
636C2×C4#120×C15111yescharacteristic
637C2×C4#120×C15111yescharacteristic
638C2×C4#120×C15112yes—
639C2×C4#121×C15112yes—
640C22—21no—
641C22—22no—
642C22—21no—
643C22—22no—
644C22—22no—
645C22—41no—
646C22—41no—
647C22—42no—
648C22—42no—
649C22—42no—
650C22—48no—
651C22—42no—
652C22—41no—
653C22—41no—
654C22—44no—
655C22—42no—
656C22—44no—
657C22—44no—
658C22—81no—
659C22—84no—
660C22—84no—
661C22—81no—
662C22—81no—
663C22—84no—
664C22—81no—
665C22—81no—
666C22—164no—
667C22C2×#120×C15111yescharacteristic
668C22C2×#121×C15111yescharacteristic
669C22#535×C15111yescharacteristic
670C22D42×C15112yes—
671C22#546×C15112yes—
672C4—22no—
673C4—21no—
674C4—21no—
675C4—22no—
676C4—42no—
677C4—44no—
678C4—41no—
679C4—41no—
680C4—84no—
681C4—81no—
682C4—81no—
683C2—21no—
684C2—22no—
685C2—21no—
686C2—22no—
687C2—42no—
688C2—82no—
689C2—84no—
690C2#2408×C15111yescharacteristic
691C2#3026×C15111yescharacteristic
692C2#3027×C15111yescharacteristic
subgroupG/H
center, socleC22×C151C2×#120
commutator, Frattini, cosocleC24C24×C151
LCSG ▷ C24 ▷ C2 ▷ C1
UCSC1 ◁ C22×C151 ◁ C23×C4×C151 ◁ G

Complements

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

NH ≅ G/Ntype
1. #3496×C151C2semidirect
2. C2×B(4,𝔽2)×C151C2semidirect
3. #2617×C151C2semidirect
4. #2321×C151C2semidirect
5. #2044×C151C2semidirect
6. #2021×C151C2semidirect
7. #1964×C151C2semidirect
8. #1799×C151C2semidirect
9. #1790×C151C2semidirect
21. C2×#120×C151C22semidirect
23. C22×C22⋊C4×C151C22semidirect
26. C2×#99×C151C22semidirect
27. C2×#99×C151C22semidirect
36. #386×C151C22semidirect
37. #385×C151C22semidirect
38. #380×C151C22semidirect
39. #379×C151C22semidirect
40. C4×C22⋊C4×C151C22semidirect
41. #342×C151C22semidirect
53. C22×D4×C151D4semidirect
56. C23×C4×C151D4semidirect
79. #120×C151D4semidirect
87. C2×C4⋊C4×C151D4semidirect
88. C2×C4⋊C4×C151D4semidirect
100. C2×C22⋊C4×C151D4semidirect
101. C2×C22⋊C4×C151D4semidirect
107. C2×C42×C151D4semidirect
125. C24×C151C2×D4semidirect
206. C22⋊C4×C151C2×D4semidirect
346. #24262C151direct (N × H)
347. C151#24262direct (N × H)
348. #3496C2×C151semidirect
349. C2×B(4,𝔽2)C2×C151semidirect
350. #2617C2×C151semidirect
351. #2321C2×C151semidirect
352. #2044C2×C151semidirect
353. #2021C2×C151semidirect
354. #1964C2×C151semidirect
355. #1799C2×C151semidirect
356. #1790C2×C151semidirect
368. C2×#120C22×C151semidirect
370. C22×C22⋊C4C22×C151semidirect
373. C2×#99C22×C151semidirect
374. C2×#99C22×C151semidirect
383. #386C22×C151semidirect
384. #385C22×C151semidirect
385. #380C22×C151semidirect
386. #379C22×C151semidirect
387. C4×C22⋊C4C22×C151semidirect
388. #342C22×C151semidirect
400. C22×D4D4×C151semidirect
403. C23×C4D4×C151semidirect
426. #120D4×C151semidirect
434. C2×C4⋊C4D4×C151semidirect
435. C2×C4⋊C4D4×C151semidirect
447. C2×C22⋊C4D4×C151semidirect
448. C2×C22⋊C4D4×C151semidirect
454. C2×C42D4×C151semidirect
472. C24C2×D4×C151semidirect
553. C22⋊C4C2×D4×C151semidirect

Maximal subgroups

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

subgroupindex
#3496×C1512
C2×B(4,𝔽2)×C1512
#2617×C1512
#2321×C1512
#2044×C1512
#2021×C1512
#1964×C1512
#1799×C1512
#1790×C1512
#24262151