Finite Group Databasebeta

← C2×#20243767 #26217779

Subgroups — C2×#20243767 #26217779

Order 12032.

2018 conjugacy classes of subgroups.

The subgroup lattice has 702 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#13094050C211yesmaximal, characteristic
2C2×#15689604C211yesmaximal, characteristic, complemented
3C22×#13093952C211yesmaximal, characteristic, complemented
4C2×#15689128C211yesmaximal, characteristic, complemented
5#20243767C218yesmaximal, direct product factor
6C2×#15688892C211yesmaximal, characteristic, complemented
7C2×#15688883C211yesmaximal, characteristic, complemented
8C2×C47×#390C211yesmaximal, characteristic, complemented
9C22×#10625350C2211yescharacteristic
10C2×#13094050—24no—
11C2×#13094050—22no—
12C2×#13094050C418yescomplemented
13C2×#13094050C2214yes—
14C22×#10625335—21no—
15C22×#10625334—21no—
16C22×#10625329C2211yescharacteristic
17C22×#10625329C2211yescharacteristic
18#15689604—22no—
19#15689604—22no—
20#15689604—22no—
21#15689604C2214yescomplemented
22C2×#13093989—21no—
23C2×#13093986—21no—
24C2×C4×C22⋊D47—22no—
25C2×#13093983C2211yescharacteristic
26C2×#13093982—21no—
27C2×C4⋊C4×D47—21no—
28C2×#13093952—24no—
29C2×#13093952C2214yescomplemented
30#15689128—22no—
31#15689128C2214yescomplemented
32C2×#13093945—21no—
33C2×#13093945—21no—
34#15688892C2214yescomplemented
35#15688883C2214yescomplemented
36C23×D4×C47C2211yescharacteristic
37C22×C4⋊C4×C47C2211yescharacteristic
38C22×C22⋊C4×C47—22no—
39C22×C42×C47C2211yescharacteristic
40C47×#390—22no—
41C47×#390C2214yescomplemented
42C2×#10625350—21no—
43C2×#10625350—21no—
44C2×#10625350—22no—
45C2×#10625350—22no—
46C2×#10625350C2×C414yes—
47C2×#10625350D414yes—
48C2×#10625350D412yes—
49C2×#10625350C2312yes—
50C22×Dic94D411yescharacteristic
51C22×D188D411yescharacteristic
52C22×C22⋊D47—21no—
53C22×C4×D47—21no—
54C22×C4×D47—22no—
55#13094050—216no—
56#13094050—28no—
57#13094050C2×C4116yescomplemented
58C2×#10625335—28no—
59C2×#10625335—24no—
60C2×#10625334—28no—
61C2×#10625334—24no—
62C2×#10625329—22no—
63C2×#10625329—21no—
64C2×#10625329—21no—
65C2×#10625329—22no—
66C2×#10625329—22no—
67C2×#10625329C2×C414yescomplemented
68C2×#10625329C2312yes—
69C2×#10625329C2312yes—
70C22×C47⋊C8—21no—
71C22×C47⋊C8—21no—
72#13093989—24no—
73#13093989—24no—
74#13093986—24no—
75#13093986—24no—
76C4×C22⋊D47—28no—
77C4×C22⋊D47—28no—
78#13093983—21no—
79#13093983—21no—
80#13093983D412yes—
81#13093983C2312yes—
82#13093982—24no—
83#13093982—24no—
84C2×C4⋊Dic47D411yescharacteristic
85C2×C4⋊Dic47D411yescharacteristic
86C2×Dic47⋊C4—22no—
87C4⋊C4×D47—24no—
88C4⋊C4×D47—24no—
89C2×C22⋊Dic47—21no—
90C2×(C2×D47)⋊C4—22no—
91C2×C4×Dic47—22no—
92C2×C4×Dic47—21no—
93#13093952—28no—
94#13093945—24no—
95#13093945—24no—
96C25×C47—21no—
97C22×D4×C47—21no—
98C22×D4×C47—21no—
99C22×D4×C47—21no—
100C22×D4×C47—21no—
101C22×D4×C47—22no—
102C22×D4×C47—21no—
103C22×D4×C47—22no—
104C22×D4×C47—22no—
105C22×D4×C47C2×C414yescomplemented
106C22×D4×C47C2312yes—
107C23×C4×C47—21no—
108C23×C4×C47D412yes—
109C23×C4×C47C2311yescharacteristic
110C2×C4⋊C4×C47—21no—
111C2×C4⋊C4×C47—21no—
112C2×C4⋊C4×C47—21no—
113C2×C4⋊C4×C47—21no—
114C2×C4⋊C4×C47D412yes—
115C2×C4⋊C4×C47C2312yes—
116C2×C22⋊C4×C47—28no—
117C2×C22⋊C4×C47—48no—
118C2×C42×C47—22no—
119C2×C42×C47—22no—
120C2×C42×C47—21no—
121C2×C42×C47C2312yes—
122C24×C47—24no—
123C24×C47—22no—
124C24×C47—44no—
125C24×C47—44no—
126C24×C47—41no—
127C24×C47—41no—
128C24×C47—42no—
129C24×C47C2×D411yescharacteristic
130C23×D47—21no—
131C2×D4×C47—24no—
132C2×D4×C47—24no—
133C2×D4×C47—24no—
134C2×D4×C47—24no—
135C2×D4×C47—24no—
136C2×D4×C47—22no—
137C2×D4×C47—22no—
138C2×D4×C47—22no—
139C2×D4×C47—22no—
140C2×D4×C47—22no—
141C2×D4×C47—41no—
142C2×D4×C47—41no—
143C2×D4×C47—42no—
144C2×D4×C47—42no—
145C2×D4×C47—42no—
146C2×D4×C47—42no—
147C2×D4×C47—42no—
148C2×D4×C47C22×C414yescomplemented
149C22×C4×C47—24no—
150C22×C4×C47—22no—
151C22×C4×C47—22no—
152C22×C4×C47—22no—
153C22×C4×C47—42no—
154C22×C4×C47—42no—
155C22×C4×C47—44no—
156C22×C4×C47C22×C412yes—
157C22×C4×C47C2×D414yes—
158C22×C4×C47C2×D411yescharacteristic
159C22×C4×C47C2×D411yescharacteristic
160C22×C4×C47C2×D412yes—
161C22×C4×C47C2×D411yescharacteristic
162C22×C4×C47C2×D411yescharacteristic
163C22×C4×C47C2×D411yescharacteristic
164C22×C4×C47#4112yes—
165C22×C4×C47#4112yes—
166C22×C4×C47C2411yescharacteristic
167C2×C22⋊D47—24no—
168C2×C22⋊D47—22no—
169C2×C22⋊D47—24no—
170C2×C22⋊D47—22no—
171C22×Dic47—21no—
172C22×Dic47—21no—
173C22×Dic47—21no—
174#10625350—24no—
175#10625350—24no—
176#10625350—24no—
177#10625350—24no—
178#10625350—24no—
179#10625350—22no—
180#10625350—22no—
181#10625350C22⋊C418yescomplemented
182#10625350C22×C414yes—
183#10625350C2×D414yes—
184C2×D188—21no—
185C2×D188—22no—
186C2×D188C22⋊C414yescomplemented
187C2×D188C2×D412yes—
188C2×C4×D47—24no—
189C2×C4×D47—22no—
190C2×C4×D47—24no—
191C2×C4×D47—22no—
192C2×C4×D47—28no—
193C2×C4×D47—84no—
194C2×Dic94—21no—
195C2×Dic94—22no—
196C2×Dic94C22⋊C414yescomplemented
197C2×Dic94C2×D412yes—
198C4⋊C4×C47—22no—
199C4⋊C4×C47—22no—
200C4⋊C4×C47—22no—
201C4⋊C4×C47—22no—
202C22⋊C4×C47—416no—
203C42×C47—22no—
204C42×C47—22no—
205C42×C47—42no—
206C22⋊Dic47—22no—
207C22⋊Dic47—22no—
208#10625335—216no—
209#10625334—216no—
210(C2×D47)⋊C4—28no—
211C4⋊Dic47—21no—
212C4⋊Dic47—21no—
213C4⋊Dic47C2×D412yes—
214C4⋊Dic47C2×D412yes—
215Dic47⋊C4—28no—
216C4×Dic47—28no—
217C4×Dic47—22no—
218C4×Dic47—22no—
219#10625329—24no—
220#10625329—22no—
221#10625329—22no—
222#10625329—22no—
223#10625329—42no—
224#10625329C22×C414yescomplemented
225C2×C47⋊C8—24no—
226C2×C47⋊C8—22no—
227C2×C47⋊C8—22no—
228C2×C47⋊C8—42no—
229C23×C47—22no—
230C23×C47—22no—
231C23×C47—24no—
232C23×C47—44no—
233C23×C47—416no—
234C23×C47—44no—
235C23×C47—42no—
236C23×C47—42no—
237C23×C47—44no—
238C23×C47—44no—
239C23×C47—88no—
240C23×C47—82no—
241C23×C47—82no—
242C23×C47—82no—
243C23×C47—82no—
244C23×C47C4×D412yes—
245C23×C47#12011yescharacteristic
246C23×C47#12011yescharacteristic
247C23×C47#12112yes—
248C23×C47C22×D411yescharacteristic
249C22×D47—22no—
250C22×D47—24no—
251C22×D47—42no—
252C22×D47—42no—
253D4×C47—24no—
254D4×C47—24no—
255D4×C47—42no—
256D4×C47—42no—
257D4×C47—44no—
258D4×C47—44no—
259C2×C4×C47—24no—
260C2×C4×C47—24no—
261C2×C4×C47—48no—
262C2×C4×C47—42no—
263C2×C4×C47—42no—
264C2×C4×C47—44no—
265C2×C4×C47—44no—
266C2×C4×C47—82no—
267C2×C4×C47C2×C22⋊C412yes—
268C2×C4×C47C2×C22⋊C412yes—
269C2×C4×C47C4×D412yes—
270C2×C4×C47C4×D412yes—
271C2×C4×C47C4×D412yes—
272C2×C4×C47#12011yescharacteristic
273C2×C4×C47#12011yescharacteristic
274C2×C4×C47#12112yes—
275C2×C4×C47#12112yes—
276C2×C4×C47#12112yes—
277C2×C4×C47#12312yes—
278C2×C4×C47#12312yes—
279C2×C4×C47C23×C411yescharacteristic
280C2×C4×C47C22×D411yescharacteristic
281C2×C4×C47C22×D411yescharacteristic
282C2×C4×C47C22×D411yescharacteristic
283C2×C4×C47C2×#4111yescharacteristic
284C2×C4×C47C2×#4111yescharacteristic
285C22⋊D47—24no—
286C22⋊D47—24no—
287C22⋊D47—28no—
288C2×Dic47—22no—
289C2×Dic47—24no—
290C2×Dic47—22no—
291C2×Dic47—22no—
292C2×Dic47—42no—
293C2×Dic47—42no—
294D188—22no—
295D188—24no—
296D188C2×C22⋊C414yescomplemented
297C4×D47—24no—
298C4×D47—24no—
299C4×D47—28no—
300C4×D47—88no—
301Dic94—22no—
302Dic94—24no—
303Dic94C2×C22⋊C414yescomplemented
304C47⋊C8—24no—
305C47⋊C8—42no—
306C2×#1883—471nomaximal, Sylow
307C22×C47—24no—
308C22×C47—24no—
309C22×C47—21no—
310C22×C47—21no—
311C22×C47—21no—
312C22×C47—21no—
313C22×C47—48no—
314C22×C47—44no—
315C22×C47—84no—
316C22×C47—88no—
317C22×C47—88no—
318C22×C47—82no—
319C22×C47—82no—
320C22×C47#38612yes—
321C22×C47#38612yes—
322C22×C47#45312yes—
323C22×C47#45412yes—
324C22×C47C2×C4×D411yescharacteristic
325C22×C47C2×#12011yescharacteristic
326C22×C47C2×#12111yescharacteristic
327C2×D47—24no—
328C2×D47—48no—
329C2×D47—42no—
330C2×D47—42no—
331C4×C47—44no—
332C4×C47—44no—
333C4×C47#38612yes—
334C4×C47#38612yes—
335C4×C47C22×C22⋊C411yescharacteristic
336C4×C47C2×C4×D411yescharacteristic
337C4×C47C2×#12111yescharacteristic
338C4×C47C2×#12311yescharacteristic
339Dic47—24no—
340Dic47—42no—
341Dic47—42no—
342C22×AGL(1,ℤ/8)—471no—
343C2×#520—471no—
344C22×#104—471no—
345C2×#418—471no—
346C2×#390D4711yescharacteristic, complemented
347#1883—478no—
348C2×#343—471no—
349C2×#339—471no—
350C2×C47—21no—
351C2×C47—21no—
352C2×C47—22no—
353C2×C47—84no—
354C2×C47#188314yescomplemented
355C2×C47C2×#38611yescharacteristic
356C2×C47C2×#45311yescharacteristic
357C2×C47C2×#45411yescharacteristic
358D47—44no—
359C22×#41—471no—
360C23×D4C2×D4711yescharacteristic
361C2×AGL(1,ℤ/8)—478no—
362C2×AGL(1,ℤ/8)—474no—
363C2×AGL(1,ℤ/8)—942no—
364C2×AGL(1,ℤ/8)—944no—
365C22×SD16—941no—
366C22×D8—941no—
367C22×M16—471no—
368C22×M16—471no—
369#520—474no—
370#520—942no—
371#520—942no—
372#520—942no—
373C2×C4×Q8—941no—
374C2×C4×D4—941no—
375C2×C4×D4—942no—
376C2×#117—471no—
377C2×#117—941no—
378C22×C4⋊C4—941no—
379C22×C4⋊C4C2×D4711yescharacteristic
380C22×C22⋊C4—22no—
381C22×C42C2×D4711yescharacteristic
382C2×#104—474no—
383C2×#104—944no—
384#418—474no—
385#418—942no—
386C2×#102—941no—
387C2×#102—941no—
388#390—22no—
389#390C2×D4714yescomplemented
390#343—474no—
391#339—474no—
392C47C2×#188311yescharacteristic, complemented, Sylow
393C25—21no—
394C2×#41—474no—
395C2×#41—472no—
396C2×#41—474no—
397C2×#41—472no—
398C2×#41—942no—
399C2×#41—941no—
400C2×#41—942no—
401C2×#41—941no—
402C22×Q8—471no—
403C22×D4—22no—
404C22×D4—21no—
405C22×D4—21no—
406C22×D4—22no—
407C22×D4—21no—
408C22×D4—21no—
409C22×D4—22no—
410C22×D4—21no—
411C22×D4—471no—
412C22×D4—941no—
413C22×D4C4×D4714yescomplemented
414C22×D4C22×D4712yes—
415C23×C4—21no—
416C23×C4—942no—
417C23×C4—941no—
418C23×C4C22⋊D4712yes—
419C23×C4C22×D4711yescharacteristic
420AGL(1,ℤ/8)—4716no—
421AGL(1,ℤ/8)—9416no—
422AGL(1,ℤ/8)—948no—
423C2×SD16—948no—
424C2×SD16—944no—
425C2×D8—948no—
426C2×D8—944no—
427C2×M16—474no—
428C2×M16—472no—
429C2×M16—472no—
430C2×M16—942no—
431C2×M16—941no—
432C2×M16—941no—
433C2×M16—942no—
434C2×M16—942no—
435C22×C8—941no—
436C22×C8—941no—
437C4×Q8—944no—
438C4×Q8—944no—
439C4×D4—944no—
440C4×D4—944no—
441C4×D4—948no—
442C4×D4—948no—
443#117—472no—
444#117—472no—
445#117—944no—
446#117—944no—
447#117—941no—
448#117—941no—
449C2×C4⋊C4—21no—
450C2×C4⋊C4—21no—
451C2×C4⋊C4—21no—
452C2×C4⋊C4—21no—
453C2×C4⋊C4—471no—
454C2×C4⋊C4—471no—
455C2×C4⋊C4—944no—
456C2×C4⋊C4—944no—
457C2×C4⋊C4—942no—
458C2×C4⋊C4C22⋊D4712yes—
459C2×C4⋊C4C22×D4712yes—
460C2×C22⋊C4—28no—
461C2×C22⋊C4—48no—
462C2×C22⋊C4—942no—
463C2×C22⋊C4—941no—
464C2×C42—22no—
465C2×C42—22no—
466C2×C42—21no—
467C2×C42—942no—
468C2×C42—941no—
469C2×C42C22×D4712yes—
470#104—948no—
471#102—944no—
472#102—944no—
473C24—24no—
474C24—22no—
475C24—44no—
476C24—44no—
477C24—41no—
478C24—41no—
479C24—42no—
480C24—941no—
481C24C2×C22⋊D4711yescharacteristic
482#41—478no—
483#41—474no—
484#41—474no—
485#41—944no—
486#41—944no—
487#41—944no—
488#41—944no—
489#41—944no—
490#41—942no—
491#41—942no—
492C2×Q8—474no—
493C2×Q8—472no—
494C2×Q8—941no—
495C2×Q8—942no—
496C2×D4—24no—
497C2×D4—24no—
498C2×D4—24no—
499C2×D4—24no—
500C2×D4—24no—
501C2×D4—22no—
502C2×D4—22no—
503C2×D4—22no—
504C2×D4—22no—
505C2×D4—22no—
506C2×D4—41no—
507C2×D4—41no—
508C2×D4—42no—
509C2×D4—42no—
510C2×D4—42no—
511C2×D4—42no—
512C2×D4—42no—
513C2×D4—474no—
514C2×D4—472no—
515C2×D4—944no—
516C2×D4—942no—
517C2×D4—944no—
518C2×D4—942no—
519C2×D4—941no—
520C2×D4—942no—
521C2×D4C2×C4×D4714yescomplemented
522C22×C4—24no—
523C22×C4—22no—
524C22×C4—22no—
525C22×C4—22no—
526C22×C4—42no—
527C22×C4—42no—
528C22×C4—44no—
529C22×C4—948no—
530C22×C4—941no—
531C22×C4—944no—
532C22×C4—942no—
533C22×C4—944no—
534C22×C4—942no—
535C22×C4—941no—
536C22×C4—941no—
537C22×C4—3764no—
538C22×C4C2×C4×D4712yes—
539C22×C4#1062535012yes—
540C22×C4D4×D4711yescharacteristic
541C22×C4D4×D4711yescharacteristic
542C22×C4D4×D4712yes—
543C22×C4D4×D4711yescharacteristic
544C22×C4D4×D4711yescharacteristic
545C22×C4#1062535212yes—
546C22×C4C2×C22⋊D4714yes—
547C22×C4C2×C22⋊D4711yescharacteristic
548C22×C4C23×D4711yescharacteristic
549SD16—9416no—
550D8—9416no—
551M16—474no—
552M16—944no—
553M16—942no—
554M16—942no—
555M16—942no—
556M16—1882no—
557C2×C8—944no—
558C2×C8—942no—
559C2×C8—942no—
560C2×C8—1882no—
561C4⋊C4—22no—
562C4⋊C4—22no—
563C4⋊C4—22no—
564C4⋊C4—22no—
565C4⋊C4—472no—
566C4⋊C4—472no—
567C4⋊C4—948no—
568C4⋊C4—941no—
569C4⋊C4—941no—
570C22⋊C4—416no—
571C22⋊C4—948no—
572C22⋊C4—942no—
573C22⋊C4—942no—
574C42—22no—
575C42—22no—
576C42—42no—
577C42—948no—
578C42—942no—
579C42—942no—
580C23—22no—
581C23—22no—
582C23—24no—
583C23—44no—
584C23—44no—
585C23—416no—
586C23—44no—
587C23—44no—
588C23—42no—
589C23—42no—
590C23—82no—
591C23—82no—
592C23—88no—
593C23—82no—
594C23—82no—
595C23—944no—
596C23—942no—
597C23—1882no—
598C23—1882no—
599C23C4×C22⋊D4712yes—
600C23#1309399211yescharacteristic
601C23#1309399211yescharacteristic
602C23#1309399512yes—
603C23C22×C22⋊D4711yescharacteristic
604Q8—474no—
605Q8—944no—
606Q8—942no—
607D4—24no—
608D4—24no—
609D4—44no—
610D4—44no—
611D4—42no—
612D4—42no—
613D4—474no—
614D4—948no—
615D4—944no—
616D4—944no—
617D4—944no—
618D4—942no—
619C2×C4—24no—
620C2×C4—24no—
621C2×C4—42no—
622C2×C4—48no—
623C2×C4—44no—
624C2×C4—42no—
625C2×C4—44no—
626C2×C4—82no—
627C2×C4—944no—
628C2×C4—942no—
629C2×C4—948no—
630C2×C4—944no—
631C2×C4—944no—
632C2×C4—942no—
633C2×C4—942no—
634C2×C4—3768no—
635C2×C4—1882no—
636C2×C4—1882no—
637C2×C4C22⋊C4×D4712yes—
638C2×C4C22⋊C4×D4712yes—
639C2×C4(C22⋊D47)⋊C412yes—
640C2×C4(C22⋊D47)⋊C412yes—
641C2×C4C4×C22⋊D4712yes—
642C2×C4#1309399211yescharacteristic
643C2×C4#1309399211yescharacteristic
644C2×C4#1309399512yes—
645C2×C4#1309399712yes—
646C2×C4#1309399712yes—
647C2×C4#1309400612yes—
648C2×C4#1309400612yes—
649C2×C4C22×C4×D4711yescharacteristic
650C2×C4C2×D4×D4711yescharacteristic
651C2×C4C2×D4×D4711yescharacteristic
652C2×C4C2×D4×D4711yescharacteristic
653C2×C4C2×#1062535211yescharacteristic
654C2×C4C2×#1062535011yescharacteristic
655C8—944no—
656C8—1882no—
657C22—21no—
658C22—21no—
659C22—21no—
660C22—21no—
661C22—24no—
662C22—24no—
663C22—48no—
664C22—44no—
665C22—84no—
666C22—88no—
667C22—82no—
668C22—82no—
669C22—88no—
670C22—944no—
671C22—1882no—
672C22—1882no—
673C22—1888no—
674C22#1568899912yes—
675C22#1568899912yes—
676C22#1568929012yes—
677C22#1568929512yes—
678C22C2×C4×C22⋊D4711yescharacteristic
679C22C2×#1309399211yescharacteristic
680C22C2×#1309399511yescharacteristic
681C4—44no—
682C4—44no—
683C4—944no—
684C4—1882no—
685C4—1882no—
686C4#1568899912yes—
687C4#1568899912yes—
688C4C2×C22⋊C4×D4711yescharacteristic
689C4C2×(C22⋊D47)⋊C411yescharacteristic
690C4C2×#1309399711yescharacteristic
691C4C2×#1309400611yescharacteristic
692C2—21no—
693C2—21no—
694C2—22no—
695C2—84no—
696C2—1884no—
697C2#2024376714yesdirect product factor
698C2C2×#1568899911yescharacteristic
699C2C2×#1568929011yescharacteristic
700C2C2×#1568929511yescharacteristic
subgroupG/H
centerC23#13093992
commutatorC2×C4×C47C23×C4
FrattiniC22×C4C23×D47
FittingC2×C47×#390C2
socleC23×C47#120
prime radicalC22×#13094050C2
cosocleC22×C4×C47C24
hypercenterC2×#390D47
hypocenterC47C2×#1883
LCSG ▷ C2×C4×C47 ▷ C2×C47 ▷ C47
UCSC1 ◁ C23 ◁ C23×C4 ◁ C2×#390

Complements

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

NH ≅ G/Ntype
2. C2×#15689604C2semidirect
3. C22×#13093952C2semidirect
4. C2×#15689128C2semidirect
5. #20243767C2direct (N × H)
6. C2×#15688892C2semidirect
7. C2×#15688883C2semidirect
8. C2×C47×#390C2semidirect
12. C2×#13094050C4semidirect
21. #15689604C22semidirect
29. C2×#13093952C22semidirect
31. #15689128C22semidirect
34. #15688892C22semidirect
35. #15688883C22semidirect
41. C47×#390C22semidirect
57. #13094050C2×C4semidirect
67. C2×#10625329C2×C4semidirect
105. C22×D4×C47C2×C4semidirect
148. C2×D4×C47C22×C4semidirect
181. #10625350C22⋊C4semidirect
186. C2×D188C22⋊C4semidirect
196. C2×Dic94C22⋊C4semidirect
224. #10625329C22×C4semidirect
296. D188C2×C22⋊C4semidirect
303. Dic94C2×C22⋊C4semidirect
346. C2×#390D47semidirect
354. C2×C47#1883semidirect
389. #390C2×D47semidirect
392. C47C2×#1883semidirect
413. C22×D4C4×D47semidirect
521. C2×D4C2×C4×D47semidirect
697. C2#20243767direct (N × H)

Maximal subgroups

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

subgroupindex
C22×#130940502
C2×#156896042
C22×#130939522
C2×#156891282
#202437672
C2×#156888922
C2×#156888832
C2×C47×#3902
C2×#188347