Finite Group Databasebeta

← C149×#18254 #49197203

Subgroups — C149×#18254 #49197203

Order 38144.

1508 conjugacy classes of subgroups.

The subgroup lattice has 734 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#3537×C149C211yesmaximal, characteristic, complemented
2#3003×C149C211yesmaximal, characteristic, complemented
3C2×#447×C149C211yesmaximal, characteristic, complemented
4#2433×C149C211yesmaximal, characteristic, complemented
5#1600×C149C214yesmaximal, complemented
6#1595×C149C214yesmaximal, complemented
7#1507×C149C211yesmaximal, characteristic, complemented
8#1501×C149C211yesmaximal, characteristic, complemented
9#1471×C149C211yesmaximal, characteristic, complemented
10C23×D4×C149C2211yescharacteristic, complemented
11C2×AGL(1,ℤ/8)×C149—21no—
12C22×D8×C149—21no—
13#560×C149—22no—
14#553×C149—21no—
15#553×C149—21no—
16D42×C149—22no—
17D42×C149—21no—
18D42×C149—21no—
19#540×C149—21no—
20#538×C149—21no—
21#538×C149C2212yescomplemented
22#535×C149—21no—
23#534×C149—21no—
24#534×C149C2212yescomplemented
25C2×#127×C149—21no—
26#525×C149C2211yescharacteristic
27C2×#121×C149C2211yescharacteristic
28C2×#121×C149C2211yescharacteristic
29C2×#120×C149—22no—
30#450×C149—21no—
31#450×C149C2212yescomplemented
32#447×C149—22no—
33#447×C149—21no—
34#447×C149C2214yescomplemented
35#447×C149C2212yescomplemented
36#418×C149—21no—
37C2×#102×C149—21no—
38#407×C149C2211yescharacteristic, complemented
39C2×C22⋊C8×C149C2211yescharacteristic, complemented
40#392×C149C2214yescomplemented
41#390×C149—21no—
42C4×C22⋊C4×C149C2211yescharacteristic, complemented
43#328×C149C2212yescomplemented
44#327×C149C2212yescomplemented
45#327×C149C2214yescomplemented
46#323×C149C2214yescomplemented
47C25×C149—21no—
48C2×#41×C149D411yescharacteristic, complemented
49C22×D4×C149—22no—
50C22×D4×C149—21no—
51C22×D4×C149—21no—
52C22×D4×C149—22no—
53C22×D4×C149—24no—
54C22×D4×C149—21no—
55C22×D4×C149—21no—
56C22×D4×C149—21no—
57C22×D4×C149—21no—
58C22×D4×C149—21no—
59C22×D4×C149—44no—
60C22×D4×C149D412yes—
61C22×D4×C149D411yescharacteristic
62C22×D4×C149D411yescharacteristic, complemented
63C22×D4×C149C2312yes—
64C23×C4×C149C2311yescharacteristic
65AGL(1,ℤ/8)×C149—44no—
66C2×SD16×C149—22no—
67C2×D8×C149—24no—
68C2×D8×C149—22no—
69C2×D8×C149—44no—
70C2×M16×C149—21no—
71C22×C8×C149—21no—
72#127×C149—22no—
73#127×C149—21no—
74#127×C149—44no—
75#126×C149—22no—
76#126×C149—22no—
77#125×C149—21no—
78#124×C149—22no—
79#123×C149—22no—
80#123×C149—21no—
81#123×C149—22no—
82#123×C149—22no—
83#123×C149—22no—
84C22⋊Q8×C149D411yescharacteristic, complemented
85C22⋊Q8×C149C2311yescharacteristic
86#121×C149—22no—
87#121×C149—21no—
88#121×C149—21no—
89#121×C149—22no—
90#121×C149—22no—
91#121×C149—22no—
92#121×C149—22no—
93#121×C149—21no—
94#121×C149—21no—
95#121×C149—21no—
96#121×C149—21no—
97#121×C149—21no—
98#121×C149—21no—
99#121×C149—22no—
100#121×C149D412yescomplemented
101#121×C149D411yescharacteristic, complemented
102#121×C149C2312yes—
103#121×C149C2311yescharacteristic
104#120×C149—22no—
105#120×C149—22no—
106#120×C149—22no—
107#120×C149—21no—
108#120×C149—22no—
109#120×C149—22no—
110#120×C149—22no—
111#120×C149—48no—
112C4×D4×C149—22no—
113C4×D4×C149—21no—
114C4×D4×C149—21no—
115C4×D4×C149—21no—
116C4×D4×C149—21no—
117C4×D4×C149—22no—
118#117×C149—21no—
119#117×C149D411yescharacteristic, complemented
120C2×C4⋊C4×C149D411yescharacteristic
121C2×C4⋊C4×C149D411yescharacteristic, complemented
122C2×C22⋊C4×C149—21no—
123C2×C22⋊C4×C149—21no—
124C2×C22⋊C4×C149—24no—
125C2×C22⋊C4×C149C2312yes—
126C2×C42×C149—21no—
127#102×C149—24no—
128#102×C149—22no—
129#102×C149—22no—
130C22⋊C8×C149—21no—
131C22⋊C8×C149—21no—
132C22⋊C8×C149C2312yes—
133C22⋊C8×C149C2312yes—
134#95×C149C2312yes—
135C24×C149—22no—
136C24×C149—22no—
137C24×C149—21no—
138C24×C149—44no—
139C24×C149—44no—
140C24×C149—41no—
141C24×C149—41no—
142C24×C149—82no—
143C24×C149C2×D411yescharacteristic
144C24×C149C2×D412yes—
145#41×C149—42no—
146C2×Q8×C149C2×D411yescharacteristic
147C2×D4×C149—24no—
148C2×D4×C149—24no—
149C2×D4×C149—24no—
150C2×D4×C149—22no—
151C2×D4×C149—21no—
152C2×D4×C149—21no—
153C2×D4×C149—22no—
154C2×D4×C149—22no—
155C2×D4×C149—22no—
156C2×D4×C149—22no—
157C2×D4×C149—22no—
158C2×D4×C149—22no—
159C2×D4×C149—21no—
160C2×D4×C149—22no—
161C2×D4×C149—22no—
162C2×D4×C149—21no—
163C2×D4×C149—21no—
164C2×D4×C149—21no—
165C2×D4×C149—22no—
166C2×D4×C149—22no—
167C2×D4×C149—42no—
168C2×D4×C149—42no—
169C2×D4×C149—42no—
170C2×D4×C149—42no—
171C2×D4×C149—42no—
172C2×D4×C149—48no—
173C2×D4×C149—44no—
174C2×D4×C149—44no—
175C2×D4×C149—44no—
176C2×D4×C149—44no—
177C2×D4×C149—48no—
178C2×D4×C149—41no—
179C2×D4×C149—41no—
180C2×D4×C149—82no—
181C2×D4×C149—84no—
182C2×D4×C149—82no—
183C2×D4×C149—84no—
184C2×D4×C149—84no—
185C2×D4×C149C2×D411yescharacteristic
186C2×D4×C149C2×D412yes—
187C22×C4×C149—22no—
188C22×C4×C149—22no—
189C22×C4×C149—22no—
190C22×C4×C149—21no—
191C22×C4×C149—21no—
192C22×C4×C149—42no—
193C22×C4×C149C2×D411yescharacteristic
194C22×C4×C149C2×D411yescharacteristic
195C22×C4×C149C2×D411yescharacteristic
196C22×C4×C149C2×D412yes—
197C22×C4×C149C2×D411yescharacteristic
198C22×C4×C149C2×D411yescharacteristic
199C22×C4×C149C2411yescharacteristic
200SD16×C149—44no—
201D8×C149—48no—
202D8×C149—44no—
203M16×C149—42no—
204C2×C8×C149—22no—
205C2×C8×C149—22no—
206C2×C8×C149—42no—
207C4⋊C4×C149—22no—
208C4⋊C4×C149—22no—
209C4⋊C4×C149—21no—
210C4⋊C4×C149—21no—
211C4⋊C4×C149—21no—
212C4⋊C4×C149—21no—
213C4⋊C4×C149—21no—
214C4⋊C4×C149C2×D412yes—
215C4⋊C4×C149C2×D411yescharacteristic
216C4⋊C4×C149C2×D411yescharacteristic
217C22⋊C4×C149—24no—
218C22⋊C4×C149—22no—
219C22⋊C4×C149—22no—
220C22⋊C4×C149—22no—
221C22⋊C4×C149—22no—
222C22⋊C4×C149—22no—
223C22⋊C4×C149—21no—
224C22⋊C4×C149—21no—
225C22⋊C4×C149—21no—
226C22⋊C4×C149—22no—
227C22⋊C4×C149—21no—
228C22⋊C4×C149—22no—
229C22⋊C4×C149—22no—
230C22⋊C4×C149—22no—
231C22⋊C4×C149—21no—
232C22⋊C4×C149—48no—
233C42×C149—22no—
234C42×C149—21no—
235C42×C149—42no—
236C23×C149—22no—
237C23×C149—22no—
238C23×C149—24no—
239C23×C149—22no—
240C23×C149—22no—
241C23×C149—21no—
242C23×C149—24no—
243C23×C149—41no—
244C23×C149—44no—
245C23×C149—44no—
246C23×C149—44no—
247C23×C149—42no—
248C23×C149—42no—
249C23×C149—42no—
250C23×C149—42no—
251C23×C149—44no—
252C23×C149—42no—
253C23×C149—81no—
254C23×C149—81no—
255C23×C149—82no—
256C23×C149—82no—
257C23×C149—82no—
258C23×C149—82no—
259C23×C149—82no—
260C23×C149—82no—
261C23×C149—816no—
262C23×C149—82no—
263C23×C149#12011yescharacteristic
264C23×C149#12011yescharacteristic
265C23×C149C22×D411yescharacteristic
266Q8×C149—41no—
267D4×C149—24no—
268D4×C149—24no—
269D4×C149—42no—
270D4×C149—41no—
271D4×C149—42no—
272D4×C149—42no—
273D4×C149—44no—
274D4×C149—44no—
275D4×C149—42no—
276D4×C149—44no—
277D4×C149—42no—
278D4×C149—44no—
279D4×C149—42no—
280D4×C149—42no—
281D4×C149—81no—
282D4×C149—82no—
283D4×C149—82no—
284D4×C149—81no—
285D4×C149—82no—
286D4×C149—82no—
287D4×C149—82no—
288D4×C149—82no—
289D4×C149—82no—
290D4×C149—816no—
291C2×C4×C149—22no—
292C2×C4×C149—22no—
293C2×C4×C149—22no—
294C2×C4×C149—24no—
295C2×C4×C149—21no—
296C2×C4×C149—22no—
297C2×C4×C149—22no—
298C2×C4×C149—21no—
299C2×C4×C149—21no—
300C2×C4×C149—41no—
301C2×C4×C149—41no—
302C2×C4×C149—41no—
303C2×C4×C149—42no—
304C2×C4×C149—42no—
305C2×C4×C149—42no—
306C2×C4×C149—42no—
307C2×C4×C149—81no—
308C2×C4×C149—82no—
309C2×C4×C149—82no—
310C2×C4×C149#12011yescharacteristic
311C2×C4×C149#12011yescharacteristic
312C2×C4×C149C22×D411yescharacteristic
313C2×C4×C149C22×D411yescharacteristic
314C8×C149—42no—
315C8×C149—42no—
316C22×C149—21no—
317C22×C149—21no—
318C22×C149—21no—
319C22×C149—21no—
320C22×C149—21no—
321C22×C149—21no—
322C22×C149—21no—
323C22×C149—44no—
324C22×C149—48no—
325C22×C149—42no—
326C22×C149—42no—
327C22×C149—41no—
328C22×C149—42no—
329C22×C149—42no—
330C22×C149—41no—
331C22×C149—41no—
332C22×C149—44no—
333C22×C149—42no—
334C22×C149—42no—
335C22×C149—84no—
336C22×C149—84no—
337C22×C149—88no—
338C22×C149—88no—
339C22×C149—82no—
340C22×C149—82no—
341C22×C149—162no—
342C22×C149—164no—
343C22×C149#45312yes—
344C22×C149C2×#12011yescharacteristic
345C22×C149#57612yes—
346C4×C149—21no—
347C4×C149—21no—
348C4×C149—21no—
349C4×C149—44no—
350C4×C149—42no—
351C4×C149—41no—
352C4×C149—42no—
353C4×C149—41no—
354C4×C149—41no—
355C4×C149B(4,𝔽2)12yes—
356C2×C149—22no—
357C2×C149—22no—
358C2×C149—41no—
359C2×C149—84no—
360C2×C149—82no—
361C2×C149—82no—
362C2×C149—81no—
363C2×C149#300811yescharacteristic
364C2×C149C2×#45311yescharacteristic
365C2×C149C2×B(4,𝔽2)11yescharacteristic
366#18254C14911yesmaximal, characteristic, direct product factor, Sylow
367C149#1825411yescharacteristic, direct product factor, Sylow
368#3537C2×C14911yescharacteristic, complemented
369#3003C2×C14911yescharacteristic, complemented
370C2×#447C2×C14911yescharacteristic, complemented
371#2433C2×C14911yescharacteristic, complemented
372#1600C2×C14914yescomplemented
373#1595C2×C14914yescomplemented
374#1507C2×C14911yescharacteristic, complemented
375#1501C2×C14911yescharacteristic, complemented
376#1471C2×C14911yescharacteristic, complemented
377C23×D4C22×C14911yescharacteristic, complemented
378C2×AGL(1,ℤ/8)—21no—
379C22×D8—21no—
380#560—22no—
381#553—21no—
382#553—21no—
383D42—22no—
384D42—21no—
385D42—21no—
386#540—21no—
387#538—21no—
388#538C22×C14912yescomplemented
389#535—21no—
390#534—21no—
391#534C22×C14912yescomplemented
392C2×#127—21no—
393#525C22×C14911yescharacteristic
394C2×#121C22×C14911yescharacteristic
395C2×#121C22×C14911yescharacteristic
396C2×#120—22no—
397#450—21no—
398#450C22×C14912yescomplemented
399#447—22no—
400#447—21no—
401#447C22×C14912yescomplemented
402#447C22×C14914yescomplemented
403#418—21no—
404C2×#102—21no—
405#407C22×C14911yescharacteristic, complemented
406C2×C22⋊C8C22×C14911yescharacteristic, complemented
407#392C22×C14914yescomplemented
408#390—21no—
409C4×C22⋊C4C22×C14911yescharacteristic, complemented
410#328C22×C14912yescomplemented
411#327C22×C14912yescomplemented
412#327C22×C14914yescomplemented
413#323C22×C14914yescomplemented
414C25—21no—
415C2×#41D4×C14911yescharacteristic, complemented
416C22×D4—22no—
417C22×D4—21no—
418C22×D4—21no—
419C22×D4—22no—
420C22×D4—24no—
421C22×D4—21no—
422C22×D4—21no—
423C22×D4—21no—
424C22×D4—21no—
425C22×D4—21no—
426C22×D4—44no—
427C22×D4D4×C14912yes—
428C22×D4D4×C14911yescharacteristic
429C22×D4D4×C14911yescharacteristic, complemented
430C22×D4C23×C14912yes—
431C23×C4C23×C14911yescharacteristic
432AGL(1,ℤ/8)—44no—
433C2×SD16—22no—
434C2×D8—24no—
435C2×D8—22no—
436C2×D8—44no—
437C2×M16—21no—
438C22×C8—21no—
439#127—22no—
440#127—21no—
441#127—44no—
442#126—22no—
443#126—22no—
444#125—21no—
445#124—22no—
446#123—22no—
447#123—21no—
448#123—22no—
449#123—22no—
450#123—22no—
451C22⋊Q8D4×C14911yescharacteristic, complemented
452C22⋊Q8C23×C14911yescharacteristic
453#121—22no—
454#121—21no—
455#121—21no—
456#121—22no—
457#121—22no—
458#121—22no—
459#121—22no—
460#121—21no—
461#121—21no—
462#121—21no—
463#121—21no—
464#121—21no—
465#121—21no—
466#121—22no—
467#121D4×C14912yescomplemented
468#121D4×C14911yescharacteristic, complemented
469#121C23×C14912yes—
470#121C23×C14911yescharacteristic
471#120—22no—
472#120—22no—
473#120—22no—
474#120—21no—
475#120—22no—
476#120—22no—
477#120—22no—
478#120—48no—
479C4×D4—22no—
480C4×D4—21no—
481C4×D4—21no—
482C4×D4—21no—
483C4×D4—21no—
484C4×D4—22no—
485#117—21no—
486#117D4×C14911yescharacteristic, complemented
487C2×C4⋊C4D4×C14911yescharacteristic
488C2×C4⋊C4D4×C14911yescharacteristic, complemented
489C2×C22⋊C4—21no—
490C2×C22⋊C4—21no—
491C2×C22⋊C4—24no—
492C2×C22⋊C4C23×C14912yes—
493C2×C42—21no—
494#102—24no—
495#102—22no—
496#102—22no—
497C22⋊C8—21no—
498C22⋊C8—21no—
499C22⋊C8C23×C14912yes—
500C22⋊C8C23×C14912yes—
501#95C23×C14912yes—
502C24—22no—
503C24—22no—
504C24—21no—
505C24—44no—
506C24—44no—
507C24—41no—
508C24—41no—
509C24—82no—
510C24C2×D4×C14911yescharacteristic
511C24C2×D4×C14912yes—
512#41—42no—
513C2×Q8C2×D4×C14911yescharacteristic
514C2×D4—24no—
515C2×D4—24no—
516C2×D4—24no—
517C2×D4—22no—
518C2×D4—21no—
519C2×D4—21no—
520C2×D4—22no—
521C2×D4—22no—
522C2×D4—22no—
523C2×D4—22no—
524C2×D4—22no—
525C2×D4—22no—
526C2×D4—21no—
527C2×D4—22no—
528C2×D4—22no—
529C2×D4—21no—
530C2×D4—21no—
531C2×D4—21no—
532C2×D4—22no—
533C2×D4—22no—
534C2×D4—42no—
535C2×D4—42no—
536C2×D4—42no—
537C2×D4—42no—
538C2×D4—42no—
539C2×D4—48no—
540C2×D4—44no—
541C2×D4—44no—
542C2×D4—44no—
543C2×D4—44no—
544C2×D4—48no—
545C2×D4—41no—
546C2×D4—41no—
547C2×D4—82no—
548C2×D4—84no—
549C2×D4—82no—
550C2×D4—84no—
551C2×D4—84no—
552C2×D4C2×D4×C14911yescharacteristic
553C2×D4C2×D4×C14912yes—
554C22×C4—22no—
555C22×C4—22no—
556C22×C4—22no—
557C22×C4—21no—
558C22×C4—21no—
559C22×C4—42no—
560C22×C4C2×D4×C14911yescharacteristic
561C22×C4C2×D4×C14911yescharacteristic
562C22×C4C2×D4×C14911yescharacteristic
563C22×C4C2×D4×C14912yes—
564C22×C4C2×D4×C14911yescharacteristic
565C22×C4C2×D4×C14911yescharacteristic
566C22×C4C24×C14911yescharacteristic
567SD16—44no—
568D8—48no—
569D8—44no—
570M16—42no—
571C2×C8—22no—
572C2×C8—22no—
573C2×C8—42no—
574C4⋊C4—22no—
575C4⋊C4—22no—
576C4⋊C4—21no—
577C4⋊C4—21no—
578C4⋊C4—21no—
579C4⋊C4—21no—
580C4⋊C4—21no—
581C4⋊C4C2×D4×C14912yes—
582C4⋊C4C2×D4×C14911yescharacteristic
583C4⋊C4C2×D4×C14911yescharacteristic
584C22⋊C4—24no—
585C22⋊C4—22no—
586C22⋊C4—22no—
587C22⋊C4—22no—
588C22⋊C4—22no—
589C22⋊C4—22no—
590C22⋊C4—21no—
591C22⋊C4—21no—
592C22⋊C4—21no—
593C22⋊C4—22no—
594C22⋊C4—21no—
595C22⋊C4—22no—
596C22⋊C4—22no—
597C22⋊C4—22no—
598C22⋊C4—21no—
599C22⋊C4—48no—
600C42—22no—
601C42—21no—
602C42—42no—
603C23—22no—
604C23—22no—
605C23—24no—
606C23—22no—
607C23—22no—
608C23—21no—
609C23—24no—
610C23—41no—
611C23—44no—
612C23—44no—
613C23—44no—
614C23—42no—
615C23—42no—
616C23—42no—
617C23—42no—
618C23—44no—
619C23—42no—
620C23—81no—
621C23—81no—
622C23—82no—
623C23—82no—
624C23—82no—
625C23—82no—
626C23—82no—
627C23—82no—
628C23—816no—
629C23—82no—
630C23#120×C14911yescharacteristic
631C23#120×C14911yescharacteristic
632C23C22×D4×C14911yescharacteristic
633Q8—41no—
634D4—24no—
635D4—24no—
636D4—42no—
637D4—41no—
638D4—42no—
639D4—42no—
640D4—44no—
641D4—44no—
642D4—42no—
643D4—44no—
644D4—42no—
645D4—44no—
646D4—42no—
647D4—42no—
648D4—81no—
649D4—82no—
650D4—82no—
651D4—81no—
652D4—82no—
653D4—82no—
654D4—82no—
655D4—82no—
656D4—82no—
657D4—816no—
658C2×C4—22no—
659C2×C4—22no—
660C2×C4—22no—
661C2×C4—24no—
662C2×C4—21no—
663C2×C4—22no—
664C2×C4—22no—
665C2×C4—21no—
666C2×C4—21no—
667C2×C4—41no—
668C2×C4—41no—
669C2×C4—41no—
670C2×C4—42no—
671C2×C4—42no—
672C2×C4—42no—
673C2×C4—42no—
674C2×C4—81no—
675C2×C4—82no—
676C2×C4—82no—
677C2×C4#120×C14911yescharacteristic
678C2×C4#120×C14911yescharacteristic
679C2×C4C22×D4×C14911yescharacteristic
680C2×C4C22×D4×C14911yescharacteristic
681C8—42no—
682C8—42no—
683C22—21no—
684C22—21no—
685C22—21no—
686C22—21no—
687C22—21no—
688C22—21no—
689C22—21no—
690C22—44no—
691C22—48no—
692C22—42no—
693C22—42no—
694C22—41no—
695C22—42no—
696C22—42no—
697C22—41no—
698C22—41no—
699C22—44no—
700C22—42no—
701C22—42no—
702C22—84no—
703C22—84no—
704C22—88no—
705C22—88no—
706C22—82no—
707C22—82no—
708C22—162no—
709C22—164no—
710C22#453×C14912yes—
711C22C2×#120×C14911yescharacteristic
712C22#576×C14912yes—
713C4—21no—
714C4—21no—
715C4—21no—
716C4—44no—
717C4—42no—
718C4—41no—
719C4—42no—
720C4—41no—
721C4—41no—
722C4B(4,𝔽2)×C14912yes—
723C2—22no—
724C2—22no—
725C2—41no—
726C2—84no—
727C2—82no—
728C2—82no—
729C2—81no—
730C2#3008×C14911yescharacteristic
731C2C2×#453×C14911yescharacteristic
732C2C2×B(4,𝔽2)×C14911yescharacteristic
subgroupG/H
center, socleC22×C149C2×#120
commutator, Frattini, cosocleC22×C4C24×C149
LCSG ▷ C22×C4 ▷ C22 ▷ C1
UCSC1 ◁ C22×C149 ◁ C23×C4×C149 ◁ G

Complements

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

NH ≅ G/Ntype
1. #3537×C149C2semidirect
2. #3003×C149C2semidirect
3. C2×#447×C149C2semidirect
4. #2433×C149C2semidirect
5. #1600×C149C2semidirect
6. #1595×C149C2semidirect
7. #1507×C149C2semidirect
8. #1501×C149C2semidirect
9. #1471×C149C2semidirect
10. C23×D4×C149C22semidirect
21. #538×C149C22semidirect
24. #534×C149C22semidirect
31. #450×C149C22semidirect
34. #447×C149C22semidirect
35. #447×C149C22semidirect
38. #407×C149C22semidirect
39. C2×C22⋊C8×C149C22semidirect
40. #392×C149C22semidirect
42. C4×C22⋊C4×C149C22semidirect
43. #328×C149C22semidirect
44. #327×C149C22semidirect
45. #327×C149C22semidirect
46. #323×C149C22semidirect
48. C2×#41×C149D4semidirect
62. C22×D4×C149D4semidirect
84. C22⋊Q8×C149D4semidirect
100. #121×C149D4semidirect
101. #121×C149D4semidirect
119. #117×C149D4semidirect
121. C2×C4⋊C4×C149D4semidirect
366. #18254C149direct (N × H)
367. C149#18254direct (N × H)
368. #3537C2×C149semidirect
369. #3003C2×C149semidirect
370. C2×#447C2×C149semidirect
371. #2433C2×C149semidirect
372. #1600C2×C149semidirect
373. #1595C2×C149semidirect
374. #1507C2×C149semidirect
375. #1501C2×C149semidirect
376. #1471C2×C149semidirect
377. C23×D4C22×C149semidirect
388. #538C22×C149semidirect
391. #534C22×C149semidirect
398. #450C22×C149semidirect
401. #447C22×C149semidirect
402. #447C22×C149semidirect
405. #407C22×C149semidirect
406. C2×C22⋊C8C22×C149semidirect
407. #392C22×C149semidirect
409. C4×C22⋊C4C22×C149semidirect
410. #328C22×C149semidirect
411. #327C22×C149semidirect
412. #327C22×C149semidirect
413. #323C22×C149semidirect
415. C2×#41D4×C149semidirect
429. C22×D4D4×C149semidirect
451. C22⋊Q8D4×C149semidirect
467. #121D4×C149semidirect
468. #121D4×C149semidirect
486. #117D4×C149semidirect
488. C2×C4⋊C4D4×C149semidirect

Maximal subgroups

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

subgroupindex
#3537×C1492
#3003×C1492
C2×#447×C1492
#2433×C1492
#1600×C1492
#1595×C1492
#1507×C1492
#1501×C1492
#1471×C1492
#18254149