Finite Group Databasebeta

← C149×#18450 #49197399

Subgroups — C149×#18450 #49197399

Order 38144.

1096 conjugacy classes of subgroups.

The subgroup lattice has 744 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#3537×C149C211yesmaximal, characteristic, complemented
2#3194×C149C211yesmaximal, characteristic, complemented
3#3186×C149C211yesmaximal, characteristic, complemented
4#2815×C149C211yesmaximal, characteristic, complemented
5#1612×C149C212yesmaximal, complemented
6#1607×C149C212yesmaximal, complemented
7#1600×C149C212yesmaximal, complemented
8#1595×C149C212yesmaximal, complemented
9#1516×C149C211yesmaximal, characteristic, complemented
10#1510×C149C211yesmaximal, characteristic, complemented
11#1471×C149C211yesmaximal, characteristic, complemented
12#560×C149—22no—
13#553×C149—21no—
14#553×C149—21no—
15D42×C149—22no—
16D42×C149—21no—
17D42×C149—21no—
18#540×C149—21no—
19#538×C149—21no—
20#538×C149C2212yes—
21#535×C149—21no—
22#534×C149—21no—
23#534×C149C2212yes—
24#525×C149C2211yescharacteristic
25C2×#121×C149C2211yescharacteristic
26C2×#121×C149C2211yescharacteristic
27C2×#121×C149C2211yescharacteristic, complemented
28#483×C149C2211yescharacteristic, complemented
29#482×C149—21no—
30#480×C149—21no—
31#480×C149C2211yescharacteristic, complemented
32#480×C149C2212yescomplemented
33#469×C149—21no—
34#468×C149—21no—
35#466×C149—22no—
36#450×C149C2211yescharacteristic, complemented
37#449×C149—21no—
38#447×C149—21no—
39#447×C149C2211yescharacteristic, complemented
40#447×C149C2212yescomplemented
41#407×C149C2211yescharacteristic, complemented
42C2×C22⋊C8×C149C2211yescharacteristic, complemented
43#397×C149—21no—
44#397×C149C2212yescomplemented
45#392×C149—21no—
46#392×C149—22no—
47#392×C149C2212yescomplemented
48#381×C149C2211yescharacteristic, complemented
49#328×C149C2212yescomplemented
50#327×C149C2212yescomplemented
51#327×C149C2212yescomplemented
52#327×C149C2212yescomplemented
53#323×C149C2212yescomplemented
54#323×C149C2212yescomplemented
55C2×#41×C149D411yescharacteristic, complemented
56C22×D4×C149—22no—
57C22×D4×C149—21no—
58C22×D4×C149—21no—
59C22×D4×C149—22no—
60C22×D4×C149—21no—
61C22×D4×C149—22no—
62C22×D4×C149D412yes—
63C22×D4×C149D411yescharacteristic
64C22×D4×C149D411yescharacteristic, complemented
65C22×D4×C149C2311yescharacteristic
66C23×C4×C149C2311yescharacteristic
67C2×SD16×C149—21no—
68C2×D8×C149—22no—
69C2×D8×C149—21no—
70C2×M16×C149—21no—
71C22×C8×C149—21no—
72#127×C149—22no—
73#127×C149—21no—
74#126×C149—22no—
75#126×C149—22no—
76#125×C149—21no—
77#124×C149—22no—
78#123×C149—22no—
79#123×C149—21no—
80#123×C149—22no—
81#123×C149—22no—
82#123×C149—22no—
83C22⋊Q8×C149D411yescharacteristic, complemented
84C22⋊Q8×C149C2311yescharacteristic
85#121×C149—22no—
86#121×C149—21no—
87#121×C149—21no—
88#121×C149—22no—
89#121×C149—22no—
90#121×C149—22no—
91#121×C149—22no—
92#121×C149—21no—
93#121×C149—21no—
94#121×C149—21no—
95#121×C149—21no—
96#121×C149—21no—
97#121×C149—21no—
98#121×C149—22no—
99#121×C149—21no—
100#121×C149—21no—
101#121×C149—21no—
102#121×C149—21no—
103#121×C149D412yescomplemented
104#121×C149D411yescharacteristic, complemented
105#121×C149C2312yes—
106#121×C149C2311yescharacteristic
107#120×C149—22no—
108#120×C149—22no—
109#120×C149—22no—
110#120×C149—21no—
111#120×C149—22no—
112#120×C149—22no—
113#120×C149—22no—
114C4×D4×C149—22no—
115C4×D4×C149—21no—
116C4×D4×C149—21no—
117C4×D4×C149—21no—
118C4×D4×C149—21no—
119C4×D4×C149—22no—
120#117×C149—21no—
121#117×C149D411yescharacteristic, complemented
122C2×C4⋊C4×C149D411yescharacteristic
123C2×C4⋊C4×C149D411yescharacteristic, complemented
124C2×C4⋊C4×C149C2311yescharacteristic
125C2×C22⋊C4×C149—21no—
126C2×C22⋊C4×C149—21no—
127C2×C22⋊C4×C149—21no—
128C2×C22⋊C4×C149—22no—
129C2×C22⋊C4×C149—22no—
130C2×C22⋊C4×C149C2312yes—
131#107×C149—22no—
132#107×C149—21no—
133#106×C149—21no—
134#103×C149—21no—
135#102×C149—22no—
136#102×C149—21no—
137#102×C149—22no—
138#102×C149—21no—
139#102×C149—21no—
140C22⋊C8×C149—21no—
141C22⋊C8×C149—21no—
142C22⋊C8×C149C2312yes—
143C22⋊C8×C149C2311yescharacteristic
144C22⋊C8×C149C2311yescharacteristic
145#95×C149—21no—
146#95×C149—22no—
147#95×C149C2312yes—
148C24×C149—22no—
149C24×C149—21no—
150C24×C149—21no—
151C24×C149C2×D412yes—
152C24×C149C2×D411yescharacteristic
153#41×C149—81no—
154C2×Q8×C149C2×D411yescharacteristic
155C2×D4×C149—22no—
156C2×D4×C149—21no—
157C2×D4×C149—21no—
158C2×D4×C149—22no—
159C2×D4×C149—22no—
160C2×D4×C149—22no—
161C2×D4×C149—22no—
162C2×D4×C149—22no—
163C2×D4×C149—22no—
164C2×D4×C149—21no—
165C2×D4×C149—22no—
166C2×D4×C149—22no—
167C2×D4×C149—21no—
168C2×D4×C149—21no—
169C2×D4×C149—21no—
170C2×D4×C149—21no—
171C2×D4×C149—21no—
172C2×D4×C149—41no—
173C2×D4×C149—41no—
174C2×D4×C149—81no—
175C2×D4×C149—81no—
176C2×D4×C149—82no—
177C2×D4×C149—81no—
178C2×D4×C149—82no—
179C2×D4×C149—82no—
180C2×D4×C149—82no—
181C2×D4×C149—82no—
182C2×D4×C149—82no—
183C2×D4×C149—82no—
184C2×D4×C149—82no—
185C2×D4×C149—82no—
186C2×D4×C149—84no—
187C2×D4×C149C2×D411yescharacteristic
188C2×D4×C149C2×D412yes—
189C22×C4×C149—22no—
190C22×C4×C149—22no—
191C22×C4×C149—21no—
192C22×C4×C149—21no—
193C22×C4×C149—22no—
194C22×C4×C149—21no—
195C22×C4×C149—81no—
196C22×C4×C149C2×D412yes—
197C22×C4×C149C2×D411yescharacteristic
198C22×C4×C149C2×D411yescharacteristic
199C22×C4×C149C2×D411yescharacteristic
200C22×C4×C149C2×D411yescharacteristic
201C22×C4×C149C2×D411yescharacteristic
202C22×C4×C149C2411yescharacteristic
203SD16×C149—81no—
204D8×C149—82no—
205D8×C149—81no—
206M16×C149—81no—
207C2×C8×C149—22no—
208C2×C8×C149—21no—
209C2×C8×C149—21no—
210C2×C8×C149—81no—
211C4⋊C4×C149—22no—
212C4⋊C4×C149—22no—
213C4⋊C4×C149—21no—
214C4⋊C4×C149—21no—
215C4⋊C4×C149—21no—
216C4⋊C4×C149—21no—
217C4⋊C4×C149—21no—
218C4⋊C4×C149—21no—
219C4⋊C4×C149—21no—
220C4⋊C4×C149C2×D411yescharacteristic
221C4⋊C4×C149C2×D412yes—
222C4⋊C4×C149C2×D411yescharacteristic
223C22⋊C4×C149—22no—
224C22⋊C4×C149—22no—
225C22⋊C4×C149—22no—
226C22⋊C4×C149—22no—
227C22⋊C4×C149—22no—
228C22⋊C4×C149—21no—
229C22⋊C4×C149—21no—
230C22⋊C4×C149—21no—
231C22⋊C4×C149—22no—
232C22⋊C4×C149—21no—
233C22⋊C4×C149—22no—
234C22⋊C4×C149—22no—
235C22⋊C4×C149—22no—
236C22⋊C4×C149—21no—
237C22⋊C4×C149—41no—
238C22⋊C4×C149—41no—
239C22⋊C4×C149—82no—
240C22⋊C4×C149—82no—
241C22⋊C4×C149—81no—
242C42×C149—22no—
243C42×C149—21no—
244C23×C149—22no—
245C23×C149—22no—
246C23×C149—22no—
247C23×C149—21no—
248C23×C149—22no—
249C23×C149—22no—
250C23×C149—41no—
251C23×C149—41no—
252C23×C149—42no—
253C23×C149—42no—
254C23×C149—42no—
255C23×C149—41no—
256C23×C149—41no—
257C23×C149—42no—
258C23×C149—41no—
259C23×C149—42no—
260C23×C149—81no—
261C23×C149—81no—
262C23×C149—82no—
263C23×C149—82no—
264C23×C149—82no—
265C23×C149#12011yescharacteristic
266C23×C149#12011yescharacteristic
267C23×C149C22×D411yescharacteristic
268Q8×C149—41no—
269D4×C149—42no—
270D4×C149—41no—
271D4×C149—42no—
272D4×C149—42no—
273D4×C149—42no—
274D4×C149—41no—
275D4×C149—41no—
276D4×C149—44no—
277D4×C149—42no—
278D4×C149—42no—
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—82no—
291D4×C149—82no—
292D4×C149—88no—
293C2×C4×C149—21no—
294C2×C4×C149—22no—
295C2×C4×C149—22no—
296C2×C4×C149—21no—
297C2×C4×C149—21no—
298C2×C4×C149—41no—
299C2×C4×C149—41no—
300C2×C4×C149—41no—
301C2×C4×C149—41no—
302C2×C4×C149—41no—
303C2×C4×C149—41no—
304C2×C4×C149—42no—
305C2×C4×C149—42no—
306C2×C4×C149—42no—
307C2×C4×C149—42no—
308C2×C4×C149—41no—
309C2×C4×C149—42no—
310C2×C4×C149—42no—
311C2×C4×C149—81no—
312C2×C4×C149—82no—
313C2×C4×C149—82no—
314C2×C4×C149#12011yescharacteristic
315C2×C4×C149#12011yescharacteristic
316C2×C4×C149C22×D411yescharacteristic
317C2×C4×C149C22×D411yescharacteristic
318C8×C149—42no—
319C8×C149—41no—
320C8×C149—41no—
321C22×C149—21no—
322C22×C149—21no—
323C22×C149—21no—
324C22×C149—21no—
325C22×C149—21no—
326C22×C149—21no—
327C22×C149—21no—
328C22×C149—21no—
329C22×C149—42no—
330C22×C149—42no—
331C22×C149—41no—
332C22×C149—42no—
333C22×C149—42no—
334C22×C149—41no—
335C22×C149—41no—
336C22×C149—42no—
337C22×C149—42no—
338C22×C149—82no—
339C22×C149—82no—
340C22×C149—82no—
341C22×C149—82no—
342C22×C149—82no—
343C22×C149—81no—
344C22×C149—81no—
345C22×C149—81no—
346C22×C149—162no—
347C22×C149—164no—
348C22×C149C2×#12011yescharacteristic
349C22×C149#57612yes—
350C4×C149—21no—
351C4×C149—21no—
352C4×C149—21no—
353C4×C149—21no—
354C4×C149—42no—
355C4×C149—41no—
356C4×C149—42no—
357C4×C149—41no—
358C4×C149—41no—
359C4×C149—82no—
360C4×C149—81no—
361C2×C149—22no—
362C2×C149—41no—
363C2×C149—41no—
364C2×C149—82no—
365C2×C149—82no—
366C2×C149—81no—
367C2×C149—161no—
368C2×C149#300811yescharacteristic
369C2×C149#301911yescharacteristic
370C2×C149#302611yescharacteristic
371#18450C14911yesmaximal, characteristic, direct product factor, Sylow
372C149#1845011yescharacteristic, direct product factor, Sylow
373#3537C2×C14911yescharacteristic, complemented
374#3194C2×C14911yescharacteristic, complemented
375#3186C2×C14911yescharacteristic, complemented
376#2815C2×C14911yescharacteristic, complemented
377#1612C2×C14912yescomplemented
378#1607C2×C14912yescomplemented
379#1600C2×C14912yescomplemented
380#1595C2×C14912yescomplemented
381#1516C2×C14911yescharacteristic, complemented
382#1510C2×C14911yescharacteristic, complemented
383#1471C2×C14911yescharacteristic, complemented
384#560—22no—
385#553—21no—
386#553—21no—
387D42—22no—
388D42—21no—
389D42—21no—
390#540—21no—
391#538—21no—
392#538C22×C14912yes—
393#535—21no—
394#534—21no—
395#534C22×C14912yes—
396#525C22×C14911yescharacteristic
397C2×#121C22×C14911yescharacteristic
398C2×#121C22×C14911yescharacteristic
399C2×#121C22×C14911yescharacteristic, complemented
400#483C22×C14911yescharacteristic, complemented
401#482—21no—
402#480—21no—
403#480C22×C14911yescharacteristic, complemented
404#480C22×C14912yescomplemented
405#469—21no—
406#468—21no—
407#466—22no—
408#450C22×C14911yescharacteristic, complemented
409#449—21no—
410#447—21no—
411#447C22×C14911yescharacteristic, complemented
412#447C22×C14912yescomplemented
413#407C22×C14911yescharacteristic, complemented
414C2×C22⋊C8C22×C14911yescharacteristic, complemented
415#397—21no—
416#397C22×C14912yescomplemented
417#392—21no—
418#392—22no—
419#392C22×C14912yescomplemented
420#381C22×C14911yescharacteristic, complemented
421#328C22×C14912yescomplemented
422#327C22×C14912yescomplemented
423#327C22×C14912yescomplemented
424#327C22×C14912yescomplemented
425#323C22×C14912yescomplemented
426#323C22×C14912yescomplemented
427C2×#41D4×C14911yescharacteristic, complemented
428C22×D4—22no—
429C22×D4—21no—
430C22×D4—21no—
431C22×D4—22no—
432C22×D4—21no—
433C22×D4—22no—
434C22×D4D4×C14912yes—
435C22×D4D4×C14911yescharacteristic
436C22×D4D4×C14911yescharacteristic, complemented
437C22×D4C23×C14911yescharacteristic
438C23×C4C23×C14911yescharacteristic
439C2×SD16—21no—
440C2×D8—22no—
441C2×D8—21no—
442C2×M16—21no—
443C22×C8—21no—
444#127—22no—
445#127—21no—
446#126—22no—
447#126—22no—
448#125—21no—
449#124—22no—
450#123—22no—
451#123—21no—
452#123—22no—
453#123—22no—
454#123—22no—
455C22⋊Q8D4×C14911yescharacteristic, complemented
456C22⋊Q8C23×C14911yescharacteristic
457#121—22no—
458#121—21no—
459#121—21no—
460#121—22no—
461#121—22no—
462#121—22no—
463#121—22no—
464#121—21no—
465#121—21no—
466#121—21no—
467#121—21no—
468#121—21no—
469#121—21no—
470#121—22no—
471#121—21no—
472#121—21no—
473#121—21no—
474#121—21no—
475#121D4×C14912yescomplemented
476#121D4×C14911yescharacteristic, complemented
477#121C23×C14912yes—
478#121C23×C14911yescharacteristic
479#120—22no—
480#120—22no—
481#120—22no—
482#120—21no—
483#120—22no—
484#120—22no—
485#120—22no—
486C4×D4—22no—
487C4×D4—21no—
488C4×D4—21no—
489C4×D4—21no—
490C4×D4—21no—
491C4×D4—22no—
492#117—21no—
493#117D4×C14911yescharacteristic, complemented
494C2×C4⋊C4D4×C14911yescharacteristic
495C2×C4⋊C4D4×C14911yescharacteristic, complemented
496C2×C4⋊C4C23×C14911yescharacteristic
497C2×C22⋊C4—21no—
498C2×C22⋊C4—21no—
499C2×C22⋊C4—21no—
500C2×C22⋊C4—22no—
501C2×C22⋊C4—22no—
502C2×C22⋊C4C23×C14912yes—
503#107—22no—
504#107—21no—
505#106—21no—
506#103—21no—
507#102—22no—
508#102—21no—
509#102—22no—
510#102—21no—
511#102—21no—
512C22⋊C8—21no—
513C22⋊C8—21no—
514C22⋊C8C23×C14911yescharacteristic
515C22⋊C8C23×C14911yescharacteristic
516C22⋊C8C23×C14912yes—
517#95—21no—
518#95—22no—
519#95C23×C14912yes—
520C24—22no—
521C24—21no—
522C24—21no—
523C24C2×D4×C14912yes—
524C24C2×D4×C14911yescharacteristic
525#41—81no—
526C2×Q8C2×D4×C14911yescharacteristic
527C2×D4—22no—
528C2×D4—21no—
529C2×D4—21no—
530C2×D4—22no—
531C2×D4—22no—
532C2×D4—22no—
533C2×D4—22no—
534C2×D4—22no—
535C2×D4—22no—
536C2×D4—21no—
537C2×D4—22no—
538C2×D4—22no—
539C2×D4—21no—
540C2×D4—21no—
541C2×D4—21no—
542C2×D4—21no—
543C2×D4—21no—
544C2×D4—41no—
545C2×D4—41no—
546C2×D4—81no—
547C2×D4—81no—
548C2×D4—82no—
549C2×D4—81no—
550C2×D4—82no—
551C2×D4—82no—
552C2×D4—82no—
553C2×D4—82no—
554C2×D4—82no—
555C2×D4—82no—
556C2×D4—82no—
557C2×D4—82no—
558C2×D4—84no—
559C2×D4C2×D4×C14911yescharacteristic
560C2×D4C2×D4×C14912yes—
561C22×C4—22no—
562C22×C4—22no—
563C22×C4—21no—
564C22×C4—21no—
565C22×C4—22no—
566C22×C4—21no—
567C22×C4—81no—
568C22×C4C2×D4×C14912yes—
569C22×C4C2×D4×C14911yescharacteristic
570C22×C4C2×D4×C14911yescharacteristic
571C22×C4C2×D4×C14911yescharacteristic
572C22×C4C2×D4×C14911yescharacteristic
573C22×C4C2×D4×C14911yescharacteristic
574C22×C4C24×C14911yescharacteristic
575SD16—81no—
576D8—82no—
577D8—81no—
578M16—81no—
579C2×C8—22no—
580C2×C8—21no—
581C2×C8—21no—
582C2×C8—81no—
583C4⋊C4—22no—
584C4⋊C4—22no—
585C4⋊C4—21no—
586C4⋊C4—21no—
587C4⋊C4—21no—
588C4⋊C4—21no—
589C4⋊C4—21no—
590C4⋊C4—21no—
591C4⋊C4—21no—
592C4⋊C4C2×D4×C14911yescharacteristic
593C4⋊C4C2×D4×C14912yes—
594C4⋊C4C2×D4×C14911yescharacteristic
595C22⋊C4—22no—
596C22⋊C4—22no—
597C22⋊C4—22no—
598C22⋊C4—22no—
599C22⋊C4—22no—
600C22⋊C4—21no—
601C22⋊C4—21no—
602C22⋊C4—21no—
603C22⋊C4—22no—
604C22⋊C4—21no—
605C22⋊C4—22no—
606C22⋊C4—22no—
607C22⋊C4—22no—
608C22⋊C4—21no—
609C22⋊C4—41no—
610C22⋊C4—41no—
611C22⋊C4—82no—
612C22⋊C4—82no—
613C22⋊C4—81no—
614C42—22no—
615C42—21no—
616C23—22no—
617C23—22no—
618C23—22no—
619C23—21no—
620C23—22no—
621C23—22no—
622C23—41no—
623C23—41no—
624C23—42no—
625C23—42no—
626C23—42no—
627C23—41no—
628C23—41no—
629C23—42no—
630C23—41no—
631C23—42no—
632C23—81no—
633C23—81no—
634C23—82no—
635C23—82no—
636C23—82no—
637C23#120×C14911yescharacteristic
638C23#120×C14911yescharacteristic
639C23C22×D4×C14911yescharacteristic
640Q8—41no—
641D4—42no—
642D4—41no—
643D4—42no—
644D4—42no—
645D4—42no—
646D4—41no—
647D4—41no—
648D4—44no—
649D4—42no—
650D4—42no—
651D4—42no—
652D4—42no—
653D4—81no—
654D4—82no—
655D4—82no—
656D4—81no—
657D4—82no—
658D4—82no—
659D4—82no—
660D4—82no—
661D4—82no—
662D4—82no—
663D4—82no—
664D4—88no—
665C2×C4—21no—
666C2×C4—22no—
667C2×C4—22no—
668C2×C4—21no—
669C2×C4—21no—
670C2×C4—41no—
671C2×C4—41no—
672C2×C4—41no—
673C2×C4—41no—
674C2×C4—41no—
675C2×C4—41no—
676C2×C4—42no—
677C2×C4—42no—
678C2×C4—42no—
679C2×C4—42no—
680C2×C4—41no—
681C2×C4—42no—
682C2×C4—42no—
683C2×C4—81no—
684C2×C4—82no—
685C2×C4—82no—
686C2×C4#120×C14911yescharacteristic
687C2×C4#120×C14911yescharacteristic
688C2×C4C22×D4×C14911yescharacteristic
689C2×C4C22×D4×C14911yescharacteristic
690C8—42no—
691C8—41no—
692C8—41no—
693C22—21no—
694C22—21no—
695C22—21no—
696C22—21no—
697C22—21no—
698C22—21no—
699C22—21no—
700C22—21no—
701C22—42no—
702C22—42no—
703C22—41no—
704C22—42no—
705C22—42no—
706C22—41no—
707C22—41no—
708C22—42no—
709C22—42no—
710C22—82no—
711C22—82no—
712C22—82no—
713C22—82no—
714C22—82no—
715C22—81no—
716C22—81no—
717C22—81no—
718C22—162no—
719C22—164no—
720C22C2×#120×C14911yescharacteristic
721C22#576×C14912yes—
722C4—21no—
723C4—21no—
724C4—21no—
725C4—21no—
726C4—42no—
727C4—41no—
728C4—42no—
729C4—41no—
730C4—41no—
731C4—82no—
732C4—81no—
733C2—22no—
734C2—41no—
735C2—41no—
736C2—82no—
737C2—82no—
738C2—81no—
739C2—161no—
740C2#3008×C14911yescharacteristic
741C2#3019×C14911yescharacteristic
742C2#3026×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. #3194×C149C2semidirect
3. #3186×C149C2semidirect
4. #2815×C149C2semidirect
5. #1612×C149C2semidirect
6. #1607×C149C2semidirect
7. #1600×C149C2semidirect
8. #1595×C149C2semidirect
9. #1516×C149C2semidirect
10. #1510×C149C2semidirect
11. #1471×C149C2semidirect
27. C2×#121×C149C22semidirect
28. #483×C149C22semidirect
31. #480×C149C22semidirect
32. #480×C149C22semidirect
36. #450×C149C22semidirect
39. #447×C149C22semidirect
40. #447×C149C22semidirect
41. #407×C149C22semidirect
42. C2×C22⋊C8×C149C22semidirect
44. #397×C149C22semidirect
47. #392×C149C22semidirect
48. #381×C149C22semidirect
49. #328×C149C22semidirect
50. #327×C149C22semidirect
51. #327×C149C22semidirect
52. #327×C149C22semidirect
53. #323×C149C22semidirect
54. #323×C149C22semidirect
55. C2×#41×C149D4semidirect
64. C22×D4×C149D4semidirect
83. C22⋊Q8×C149D4semidirect
103. #121×C149D4semidirect
104. #121×C149D4semidirect
121. #117×C149D4semidirect
123. C2×C4⋊C4×C149D4semidirect
371. #18450C149direct (N × H)
372. C149#18450direct (N × H)
373. #3537C2×C149semidirect
374. #3194C2×C149semidirect
375. #3186C2×C149semidirect
376. #2815C2×C149semidirect
377. #1612C2×C149semidirect
378. #1607C2×C149semidirect
379. #1600C2×C149semidirect
380. #1595C2×C149semidirect
381. #1516C2×C149semidirect
382. #1510C2×C149semidirect
383. #1471C2×C149semidirect
399. C2×#121C22×C149semidirect
400. #483C22×C149semidirect
403. #480C22×C149semidirect
404. #480C22×C149semidirect
408. #450C22×C149semidirect
411. #447C22×C149semidirect
412. #447C22×C149semidirect
413. #407C22×C149semidirect
414. C2×C22⋊C8C22×C149semidirect
416. #397C22×C149semidirect
419. #392C22×C149semidirect
420. #381C22×C149semidirect
421. #328C22×C149semidirect
422. #327C22×C149semidirect
423. #327C22×C149semidirect
424. #327C22×C149semidirect
425. #323C22×C149semidirect
426. #323C22×C149semidirect
427. C2×#41D4×C149semidirect
436. C22×D4D4×C149semidirect
455. C22⋊Q8D4×C149semidirect
475. #121D4×C149semidirect
476. #121D4×C149semidirect
493. #117D4×C149semidirect
495. 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
#3194×C1492
#3186×C1492
#2815×C1492
#1612×C1492
#1607×C1492
#1600×C1492
#1595×C1492
#1516×C1492
#1510×C1492
#1471×C1492
#18450149