Finite Group Databasebeta

← C151×#24215 #50329140

Subgroups — C151×#24215 #50329140

Order 38656.

1642 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×#124×C151C211yesmaximal, characteristic, complemented
2C2×#463×C151C212yesmaximal, complemented
3C2×#448×C151C211yesmaximal, characteristic, complemented
4C2×#447×C151C211yesmaximal, characteristic
5C4×#121×C151C211yesmaximal, characteristic, complemented
6#2042×C151C212yesmaximal, complemented
7#2012×C151C212yesmaximal, complemented
8#1983×C151C212yesmaximal, complemented
9#1797×C151C211yesmaximal, characteristic, complemented
10#1787×C151C211yesmaximal, characteristic, complemented
11#1786×C151C211yesmaximal, characteristic, complemented
12C23×Q8×C151C2211yescharacteristic
13C23×D4×C151C2211yescharacteristic
14C22×SD16×C151C2212yescomplemented
15C22×D8×C151C2212yes—
16C2×#124×C151—28no—
17C2×#124×C151—21no—
18C2×#124×C151—21no—
19C2×#124×C151C2212yes—
20C2×#124×C151C2212yes—
21C2×#121×C151C2211yescharacteristic
22C2×C4×D4×C151—21no—
23C2×C4×D4×C151C2211yescharacteristic, complemented
24C22×C22⋊C4×C151—21no—
25C22×C22⋊C4×C151—21no—
26C22×C42×C151C2211yescharacteristic
27#463×C151—28no—
28#448×C151—24no—
29#447×C151—24no—
30C2×C4⋊C8×C151C2212yescomplemented
31C2×#103×C151C2212yescomplemented
32C2×#103×C151C2212yescomplemented
33C2×#103×C151C2212yescomplemented
34C2×#102×C151C2212yes—
35C2×#102×C151C2212yes—
36C2×#102×C151C2212yes—
37C2×C22⋊C8×C151C2211yescharacteristic
38C2×C22⋊C8×C151C2211yescharacteristic
39#390×C151C2211yescharacteristic, complemented
40#389×C151C2211yescharacteristic, complemented
41#388×C151—21no—
42#386×C151—21no—
43#380×C151C2211yescharacteristic
44C4×C4⋊C4×C151C2211yescharacteristic, complemented
45C4×C22⋊C4×C151—21no—
46#336×C151C2212yescomplemented
47C25×C151—21no—
48C22×Q8×C151—21no—
49C22×Q8×C151—24no—
50C22×Q8×C151—22no—
51C22×Q8×C151—22no—
52C22×Q8×C151—42no—
53C22×Q8×C151C2312yes—
54C22×D4×C151—24no—
55C22×D4×C151—21no—
56C22×D4×C151—21no—
57C22×D4×C151—22no—
58C22×D4×C151—22no—
59C22×D4×C151—42no—
60C22×D4×C151C2311yescharacteristic
61C22×D4×C151C2312yes—
62C23×C4×C151—21no—
63C23×C4×C151—21no—
64C23×C4×C151D411yescharacteristic
65C23×C4×C151D411yescharacteristic
66C23×C4×C151C2311yescharacteristic
67C2×SD16×C151—24no—
68C2×SD16×C151—24no—
69C2×SD16×C151—42no—
70C2×D8×C151—24no—
71C2×D8×C151—24no—
72C2×D8×C151—42no—
73C22×C8×C151C2312yes—
74C22×C8×C151C2312yes—
75#124×C151—28no—
76#124×C151—28no—
77#124×C151—24no—
78#124×C151—24no—
79#124×C151—24no—
80#124×C151D418yescomplemented
81#121×C151—22no—
82#121×C151D414yes—
83C4×D4×C151—24no—
84C4×D4×C151—44no—
85C2×C4⋊C4×C151—21no—
86C2×C4⋊C4×C151C2311yescharacteristic
87C2×C4⋊C4×C151C2311yescharacteristic
88C2×C4⋊C4×C151C2311yescharacteristic
89C2×C22⋊C4×C151—28no—
90C2×C22⋊C4×C151—28no—
91C2×C22⋊C4×C151—21no—
92C2×C22⋊C4×C151—22no—
93C2×C22⋊C4×C151—22no—
94C2×C22⋊C4×C151—22no—
95C2×C22⋊C4×C151—22no—
96C2×C22⋊C4×C151—21no—
97C2×C22⋊C4×C151—21no—
98C2×C22⋊C4×C151—21no—
99C2×C22⋊C4×C151—21no—
100C2×C42×C151—24no—
101C2×C42×C151—21no—
102C2×C42×C151D411yescharacteristic
103C2×C42×C151D411yescharacteristic
104C2×C42×C151C2311yescharacteristic
105C2×C42×C151C2311yescharacteristic
106C4⋊C8×C151—24no—
107#103×C151—24no—
108#103×C151—24no—
109#103×C151—42no—
110#102×C151—24no—
111#102×C151—24no—
112#102×C151—42no—
113C22⋊C8×C151—22no—
114C22⋊C8×C151—22no—
115#95×C151—21no—
116#95×C151—21no—
117#95×C151—21no—
118C24×C151—24no—
119C24×C151—21no—
120C24×C151—22no—
121C24×C151—42no—
122C24×C151—42no—
123C24×C151—42no—
124C24×C151—42no—
125C24×C151—42no—
126C24×C151—42no—
127C24×C151C2×D411yescharacteristic
128C2×Q8×C151—24no—
129C2×Q8×C151—22no—
130C2×Q8×C151—22no—
131C2×Q8×C151—22no—
132C2×Q8×C151—22no—
133C2×Q8×C151—22no—
134C2×Q8×C151—48no—
135C2×Q8×C151—48no—
136C2×Q8×C151—42no—
137C2×Q8×C151—42no—
138C2×Q8×C151C2×D414yes—
139C2×D4×C151—24no—
140C2×D4×C151—24no—
141C2×D4×C151—22no—
142C2×D4×C151—22no—
143C2×D4×C151—22no—
144C2×D4×C151—22no—
145C2×D4×C151—21no—
146C2×D4×C151—22no—
147C2×D4×C151—22no—
148C2×D4×C151—22no—
149C2×D4×C151—48no—
150C2×D4×C151—48no—
151C2×D4×C151—42no—
152C2×D4×C151—42no—
153C2×D4×C151—42no—
154C2×D4×C151—42no—
155C2×D4×C151C2×D414yes—
156C2×D4×C151C2×D412yes—
157C22×C4×C151—22no—
158C22×C4×C151—22no—
159C22×C4×C151—24no—
160C22×C4×C151—22no—
161C22×C4×C151—22no—
162C22×C4×C151—21no—
163C22×C4×C151—22no—
164C22×C4×C151—22no—
165C22×C4×C151—22no—
166C22×C4×C151—21no—
167C22×C4×C151—21no—
168C22×C4×C151—41no—
169C22×C4×C151—41no—
170C22×C4×C151—42no—
171C22×C4×C151—42no—
172C22×C4×C151—42no—
173C22×C4×C151—42no—
174C22×C4×C151—42no—
175C22×C4×C151C2×D411yescharacteristic
176C22×C4×C151C2×D411yescharacteristic
177C22×C4×C151C2×D411yescharacteristic
178C22×C4×C151C2×D411yescharacteristic
179C22×C4×C151C2×D411yescharacteristic
180C22×C4×C151C2×D412yes—
181C22×C4×C151#4112yes—
182C22×C4×C151C2411yescharacteristic
183SD16×C151—48no—
184D8×C151—48no—
185C2×C8×C151—22no—
186C2×C8×C151—22no—
187C2×C8×C151—22no—
188C2×C8×C151—22no—
189C2×C8×C151—22no—
190C2×C8×C151—22no—
191C4⋊C4×C151—21no—
192C4⋊C4×C151—22no—
193C4⋊C4×C151—22no—
194C4⋊C4×C151—42no—
195C4⋊C4×C151C2×D412yes—
196C22⋊C4×C151—28no—
197C22⋊C4×C151—28no—
198C22⋊C4×C151—28no—
199C22⋊C4×C151—28no—
200C22⋊C4×C151—24no—
201C22⋊C4×C151—42no—
202C22⋊C4×C151—42no—
203C22⋊C4×C151—42no—
204C22⋊C4×C151—42no—
205C42×C151—22no—
206C42×C151—22no—
207C42×C151—22no—
208C42×C151—42no—
209C42×C151C2×D414yes—
210C23×C151—21no—
211C23×C151—21no—
212C23×C151—21no—
213C23×C151—21no—
214C23×C151—24no—
215C23×C151—22no—
216C23×C151—48no—
217C23×C151—48no—
218C23×C151—48no—
219C23×C151—41no—
220C23×C151—42no—
221C23×C151—42no—
222C23×C151—41no—
223C23×C151—42no—
224C23×C151—41no—
225C23×C151—42no—
226C23×C151—41no—
227C23×C151—42no—
228C23×C151—42no—
229C23×C151—41no—
230C23×C151—41no—
231C23×C151—84no—
232C23×C151—84no—
233C23×C151—84no—
234C23×C151—84no—
235C23×C151#12112yes—
236C23×C151#13512yes—
237C23×C151AGL(1,ℤ/8)12yes—
238C23×C151C22×D411yescharacteristic
239Q8×C151—24no—
240Q8×C151—24no—
241Q8×C151—48no—
242Q8×C151—42no—
243Q8×C151—42no—
244D4×C151—24no—
245D4×C151—24no—
246D4×C151—24no—
247D4×C151—48no—
248D4×C151—48no—
249D4×C151—42no—
250D4×C151—42no—
251D4×C151—42no—
252C2×C4×C151—21no—
253C2×C4×C151—21no—
254C2×C4×C151—21no—
255C2×C4×C151—21no—
256C2×C4×C151—21no—
257C2×C4×C151—21no—
258C2×C4×C151—24no—
259C2×C4×C151—24no—
260C2×C4×C151—24no—
261C2×C4×C151—21no—
262C2×C4×C151—21no—
263C2×C4×C151—22no—
264C2×C4×C151—21no—
265C2×C4×C151—21no—
266C2×C4×C151—21no—
267C2×C4×C151—21no—
268C2×C4×C151—44no—
269C2×C4×C151—44no—
270C2×C4×C151—48no—
271C2×C4×C151—42no—
272C2×C4×C151—42no—
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—84no—
282C2×C4×C151#12012yes—
283C2×C4×C151#12012yes—
284C2×C4×C151#12112yes—
285C2×C4×C151C22×D411yescharacteristic
286C2×C4×C151C22×D412yes—
287C2×C4×C151C2×#4111yescharacteristic
288C2×C4×C151H(5,𝔽2)12yes—
289C8×C151—42no—
290C8×C151—42no—
291C22×C151—22no—
292C22×C151—22no—
293C22×C151—22no—
294C22×C151—22no—
295C22×C151—22no—
296C22×C151—22no—
297C22×C151—44no—
298C22×C151—42no—
299C22×C151—44no—
300C22×C151—44no—
301C22×C151—42no—
302C22×C151—42no—
303C22×C151—816no—
304C22×C151—81no—
305C22×C151—82no—
306C22×C151—81no—
307C22×C151—82no—
308C22×C151—81no—
309C22×C151—81no—
310C22×C151—82no—
311C22×C151—82no—
312C22×C151#46314yescomplemented
313C22×C151C2×#12011yescharacteristic
314C22×C151C2×#12111yescharacteristic
315C22×C151#53511yescharacteristic
316C22×C151C2×#13511yescharacteristic
317C22×C151C2×AGL(1,ℤ/8)11yescharacteristic
318C22×C151#57511yescharacteristic
319C22×C151#57511yescharacteristic
320C4×C151—22no—
321C4×C151—22no—
322C4×C151—22no—
323C4×C151—44no—
324C4×C151—41no—
325C4×C151—41no—
326C4×C151—42no—
327C4×C151—81no—
328C4×C151—81no—
329C4×C151D4212yes—
330C4×C151#54612yes—
331C2×C151—24no—
332C2×C151—82no—
333C2×C151—84no—
334C2×C151#240811yescharacteristic
335C2×C151#300211yescharacteristic
336C2×C151#300611yescharacteristic
337C2×C151C2×#46311yescharacteristic
338C2×C151#304011yescharacteristic
339C2×C151#321111yescharacteristic
340C2×C151#321311yescharacteristic
341#24215C15111yesmaximal, characteristic, direct product factor, Sylow
342C151#2421511yescharacteristic, direct product factor, Sylow
343C22×#124C2×C15111yescharacteristic, complemented
344C2×#463C2×C15112yescomplemented
345C2×#448C2×C15111yescharacteristic, complemented
346C2×#447C2×C15111yescharacteristic
347C4×#121C2×C15111yescharacteristic, complemented
348#2042C2×C15112yescomplemented
349#2012C2×C15112yescomplemented
350#1983C2×C15112yescomplemented
351#1797C2×C15111yescharacteristic, complemented
352#1787C2×C15111yescharacteristic, complemented
353#1786C2×C15111yescharacteristic, complemented
354C23×Q8C22×C15111yescharacteristic
355C23×D4C22×C15111yescharacteristic
356C22×SD16C22×C15112yescomplemented
357C22×D8C22×C15112yes—
358C2×#124—28no—
359C2×#124—21no—
360C2×#124—21no—
361C2×#124C22×C15112yes—
362C2×#124C22×C15112yes—
363C2×#121C22×C15111yescharacteristic
364C2×C4×D4—21no—
365C2×C4×D4C22×C15111yescharacteristic, complemented
366C22×C22⋊C4—21no—
367C22×C22⋊C4—21no—
368C22×C42C22×C15111yescharacteristic
369#463—28no—
370#448—24no—
371#447—24no—
372C2×C4⋊C8C22×C15112yescomplemented
373C2×#103C22×C15112yescomplemented
374C2×#103C22×C15112yescomplemented
375C2×#103C22×C15112yescomplemented
376C2×#102C22×C15112yes—
377C2×#102C22×C15112yes—
378C2×#102C22×C15112yes—
379C2×C22⋊C8C22×C15111yescharacteristic
380C2×C22⋊C8C22×C15111yescharacteristic
381#390C22×C15111yescharacteristic, complemented
382#389C22×C15111yescharacteristic, complemented
383#388—21no—
384#386—21no—
385#380C22×C15111yescharacteristic
386C4×C4⋊C4C22×C15111yescharacteristic, complemented
387C4×C22⋊C4—21no—
388#336C22×C15112yescomplemented
389C25—21no—
390C22×Q8—24no—
391C22×Q8—21no—
392C22×Q8—22no—
393C22×Q8—22no—
394C22×Q8—42no—
395C22×Q8C23×C15112yes—
396C22×D4—21no—
397C22×D4—24no—
398C22×D4—22no—
399C22×D4—21no—
400C22×D4—22no—
401C22×D4—42no—
402C22×D4C23×C15111yescharacteristic
403C22×D4C23×C15112yes—
404C23×C4—21no—
405C23×C4—21no—
406C23×C4D4×C15111yescharacteristic
407C23×C4D4×C15111yescharacteristic
408C23×C4C23×C15111yescharacteristic
409C2×SD16—24no—
410C2×SD16—24no—
411C2×SD16—42no—
412C2×D8—24no—
413C2×D8—24no—
414C2×D8—42no—
415C22×C8C23×C15112yes—
416C22×C8C23×C15112yes—
417#124—28no—
418#124—28no—
419#124—24no—
420#124—24no—
421#124—24no—
422#124D4×C15118yescomplemented
423#121—22no—
424#121D4×C15114yes—
425C4×D4—24no—
426C4×D4—44no—
427C2×C4⋊C4—21no—
428C2×C4⋊C4C23×C15111yescharacteristic
429C2×C4⋊C4C23×C15111yescharacteristic
430C2×C4⋊C4C23×C15111yescharacteristic
431C2×C22⋊C4—28no—
432C2×C22⋊C4—28no—
433C2×C22⋊C4—22no—
434C2×C22⋊C4—22no—
435C2×C22⋊C4—22no—
436C2×C22⋊C4—22no—
437C2×C22⋊C4—21no—
438C2×C22⋊C4—21no—
439C2×C22⋊C4—21no—
440C2×C22⋊C4—21no—
441C2×C22⋊C4—21no—
442C2×C42—24no—
443C2×C42—21no—
444C2×C42D4×C15111yescharacteristic
445C2×C42D4×C15111yescharacteristic
446C2×C42C23×C15111yescharacteristic
447C2×C42C23×C15111yescharacteristic
448C4⋊C8—24no—
449#103—24no—
450#103—24no—
451#103—42no—
452#102—24no—
453#102—24no—
454#102—42no—
455C22⋊C8—22no—
456C22⋊C8—22no—
457#95—21no—
458#95—21no—
459#95—21no—
460C24—24no—
461C24—21no—
462C24—22no—
463C24—42no—
464C24—42no—
465C24—42no—
466C24—42no—
467C24—42no—
468C24—42no—
469C24C2×D4×C15111yescharacteristic
470C2×Q8—24no—
471C2×Q8—22no—
472C2×Q8—22no—
473C2×Q8—22no—
474C2×Q8—22no—
475C2×Q8—22no—
476C2×Q8—48no—
477C2×Q8—48no—
478C2×Q8—42no—
479C2×Q8—42no—
480C2×Q8C2×D4×C15114yes—
481C2×D4—24no—
482C2×D4—24no—
483C2×D4—22no—
484C2×D4—22no—
485C2×D4—22no—
486C2×D4—22no—
487C2×D4—21no—
488C2×D4—22no—
489C2×D4—22no—
490C2×D4—22no—
491C2×D4—48no—
492C2×D4—48no—
493C2×D4—42no—
494C2×D4—42no—
495C2×D4—42no—
496C2×D4—42no—
497C2×D4C2×D4×C15114yes—
498C2×D4C2×D4×C15112yes—
499C22×C4—22no—
500C22×C4—22no—
501C22×C4—24no—
502C22×C4—22no—
503C22×C4—22no—
504C22×C4—21no—
505C22×C4—22no—
506C22×C4—22no—
507C22×C4—22no—
508C22×C4—21no—
509C22×C4—21no—
510C22×C4—41no—
511C22×C4—41no—
512C22×C4—42no—
513C22×C4—42no—
514C22×C4—42no—
515C22×C4—42no—
516C22×C4—42no—
517C22×C4C2×D4×C15111yescharacteristic
518C22×C4C2×D4×C15111yescharacteristic
519C22×C4C2×D4×C15111yescharacteristic
520C22×C4C2×D4×C15111yescharacteristic
521C22×C4C2×D4×C15111yescharacteristic
522C22×C4C2×D4×C15112yes—
523C22×C4#41×C15112yes—
524C22×C4C24×C15111yescharacteristic
525SD16—48no—
526D8—48no—
527C2×C8—22no—
528C2×C8—22no—
529C2×C8—22no—
530C2×C8—22no—
531C2×C8—22no—
532C2×C8—22no—
533C4⋊C4—21no—
534C4⋊C4—22no—
535C4⋊C4—22no—
536C4⋊C4—42no—
537C4⋊C4C2×D4×C15112yes—
538C22⋊C4—28no—
539C22⋊C4—28no—
540C22⋊C4—28no—
541C22⋊C4—28no—
542C22⋊C4—24no—
543C22⋊C4—42no—
544C22⋊C4—42no—
545C22⋊C4—42no—
546C22⋊C4—42no—
547C42—22no—
548C42—22no—
549C42—22no—
550C42—42no—
551C42C2×D4×C15114yes—
552C23—21no—
553C23—21no—
554C23—21no—
555C23—21no—
556C23—24no—
557C23—22no—
558C23—48no—
559C23—48no—
560C23—48no—
561C23—41no—
562C23—42no—
563C23—42no—
564C23—41no—
565C23—41no—
566C23—42no—
567C23—41no—
568C23—42no—
569C23—41no—
570C23—41no—
571C23—42no—
572C23—42no—
573C23—84no—
574C23—84no—
575C23—84no—
576C23—84no—
577C23#121×C15112yes—
578C23#135×C15112yes—
579C23AGL(1,ℤ/8)×C15112yes—
580C23C22×D4×C15111yescharacteristic
581Q8—24no—
582Q8—24no—
583Q8—48no—
584Q8—42no—
585Q8—42no—
586D4—24no—
587D4—24no—
588D4—24no—
589D4—48no—
590D4—48no—
591D4—42no—
592D4—42no—
593D4—42no—
594C2×C4—21no—
595C2×C4—21no—
596C2×C4—21no—
597C2×C4—21no—
598C2×C4—21no—
599C2×C4—21no—
600C2×C4—24no—
601C2×C4—24no—
602C2×C4—21no—
603C2×C4—21no—
604C2×C4—24no—
605C2×C4—22no—
606C2×C4—21no—
607C2×C4—21no—
608C2×C4—21no—
609C2×C4—21no—
610C2×C4—44no—
611C2×C4—44no—
612C2×C4—48no—
613C2×C4—42no—
614C2×C4—42no—
615C2×C4—41no—
616C2×C4—41no—
617C2×C4—41no—
618C2×C4—41no—
619C2×C4—41no—
620C2×C4—41no—
621C2×C4—41no—
622C2×C4—41no—
623C2×C4—84no—
624C2×C4#120×C15112yes—
625C2×C4#120×C15112yes—
626C2×C4#121×C15112yes—
627C2×C4C22×D4×C15111yescharacteristic
628C2×C4C22×D4×C15112yes—
629C2×C4C2×#41×C15111yescharacteristic
630C2×C4H(5,𝔽2)×C15112yes—
631C8—42no—
632C8—42no—
633C22—22no—
634C22—22no—
635C22—22no—
636C22—22no—
637C22—22no—
638C22—22no—
639C22—44no—
640C22—42no—
641C22—44no—
642C22—44no—
643C22—42no—
644C22—42no—
645C22—816no—
646C22—82no—
647C22—81no—
648C22—82no—
649C22—81no—
650C22—81no—
651C22—81no—
652C22—82no—
653C22—82no—
654C22#463×C15114yescomplemented
655C22C2×#120×C15111yescharacteristic
656C22C2×#121×C15111yescharacteristic
657C22#535×C15111yescharacteristic
658C22C2×#135×C15111yescharacteristic
659C22C2×AGL(1,ℤ/8)×C15111yescharacteristic
660C22#575×C15111yescharacteristic
661C22#575×C15111yescharacteristic
662C4—22no—
663C4—22no—
664C4—22no—
665C4—44no—
666C4—41no—
667C4—41no—
668C4—42no—
669C4—81no—
670C4—81no—
671C4D42×C15112yes—
672C4#546×C15112yes—
673C2—24no—
674C2—84no—
675C2—82no—
676C2#2408×C15111yescharacteristic
677C2#3002×C15111yescharacteristic
678C2#3006×C15111yescharacteristic
679C2C2×#463×C15111yescharacteristic
680C2#3040×C15111yescharacteristic
681C2#3211×C15111yescharacteristic
682C2#3213×C15111yescharacteristic
subgroupG/H
center, socleC23×C151C22×D4
commutator, Frattini, cosocleC22×C4C24×C151
prime radicalC2×#447×C151C2
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23×C151 ◁ C22×C42×C151 ◁ G

Complements

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

NH ≅ G/Ntype
1. C22×#124×C151C2semidirect
2. C2×#463×C151C2semidirect
3. C2×#448×C151C2semidirect
5. C4×#121×C151C2semidirect
6. #2042×C151C2semidirect
7. #2012×C151C2semidirect
8. #1983×C151C2semidirect
9. #1797×C151C2semidirect
10. #1787×C151C2semidirect
11. #1786×C151C2semidirect
14. C22×SD16×C151C22semidirect
23. C2×C4×D4×C151C22semidirect
30. C2×C4⋊C8×C151C22semidirect
31. C2×#103×C151C22semidirect
32. C2×#103×C151C22semidirect
33. C2×#103×C151C22semidirect
39. #390×C151C22semidirect
40. #389×C151C22semidirect
44. C4×C4⋊C4×C151C22semidirect
46. #336×C151C22semidirect
80. #124×C151D4semidirect
312. C22×C151#463semidirect
341. #24215C151direct (N × H)
342. C151#24215direct (N × H)
343. C22×#124C2×C151semidirect
344. C2×#463C2×C151semidirect
345. C2×#448C2×C151semidirect
347. C4×#121C2×C151semidirect
348. #2042C2×C151semidirect
349. #2012C2×C151semidirect
350. #1983C2×C151semidirect
351. #1797C2×C151semidirect
352. #1787C2×C151semidirect
353. #1786C2×C151semidirect
356. C22×SD16C22×C151semidirect
365. C2×C4×D4C22×C151semidirect
372. C2×C4⋊C8C22×C151semidirect
373. C2×#103C22×C151semidirect
374. C2×#103C22×C151semidirect
375. C2×#103C22×C151semidirect
381. #390C22×C151semidirect
382. #389C22×C151semidirect
386. C4×C4⋊C4C22×C151semidirect
388. #336C22×C151semidirect
422. #124D4×C151semidirect
654. C22#463×C151semidirect

Maximal subgroups

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

subgroupindex
C22×#124×C1512
C2×#463×C1512
C2×#448×C1512
C2×#447×C1512
C4×#121×C1512
#2042×C1512
#2012×C1512
#1983×C1512
#1797×C1512
#1787×C1512
#1786×C1512
#24215151