Finite Group Databasebeta

← C2×#20243766 #26217778

Subgroups — C2×#20243766 #26217778

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
1C2×#15689606C211yesmaximal, characteristic, complemented
2C22×#13093951C211yesmaximal, characteristic, complemented
3C2×#15689128C211yesmaximal, characteristic, complemented
4C2×#15689026C211yesmaximal, characteristic, complemented
5#20243766C218yesmaximal, direct product factor
6C2×#15688891C211yesmaximal, characteristic, complemented
7C2×#15688884C211yesmaximal, characteristic, complemented
8C22×AGL(1,ℤ/8)×C47C211yesmaximal, characteristic
9C22×#10625329C2211yescharacteristic
10#15689606—22no—
11#15689606—22no—
12#15689606—22no—
13#15689606C2214yescomplemented
14C2×Q8×Dic47—21no—
15C2×D4×Dic47—22no—
16C2×D4×Dic47—21no—
17C2×#13093983—21no—
18C2×#13093983C2211yescharacteristic
19C22×C4⋊Dic47—21no—
20C22×C4⋊Dic47C2211yescharacteristic
21C22×C22⋊Dic47—22no—
22C22×C4×Dic47C2211yescharacteristic
23C2×#13093951—24no—
24C2×#13093951C2214yescomplemented
25#15689128—22no—
26#15689128C2214yescomplemented
27C2×#13093945—21no—
28C2×#13093945—21no—
29#15689026—22no—
30#15689026C2214yescomplemented
31#15688891C2214yescomplemented
32#15688884C2214yescomplemented
33C22×#41×C47C2211yescharacteristic
34C23×D4×C47C2211yescharacteristic
35C2×AGL(1,ℤ/8)×C47—24no—
36C2×AGL(1,ℤ/8)×C47—22no—
37C2×AGL(1,ℤ/8)×C47C418yescomplemented
38C2×AGL(1,ℤ/8)×C47C2214yes—
39C22×SD16×C47—21no—
40C22×D8×C47—21no—
41C22×M16×C47C2211yescharacteristic
42C23×Dic47—21no—
43C23×Dic47—22no—
44C23×Dic47D412yes—
45C2×#10625329—21no—
46C2×#10625329—22no—
47C2×#10625329—22no—
48C2×#10625329C2312yes—
49C22×C47⋊C8—21no—
50Q8×Dic47—24no—
51Q8×Dic47—24no—
52D4×Dic47—28no—
53D4×Dic47—24no—
54D4×Dic47—24no—
55D4×Dic47—28no—
56#13093983—24no—
57#13093983—21no—
58#13093983—21no—
59#13093983—24no—
60#13093983D412yes—
61#13093983C2312yes—
62C2×C4⋊Dic47—22no—
63C2×C4⋊Dic47—24no—
64C2×C4⋊Dic47—21no—
65C2×C4⋊Dic47—21no—
66C2×C4⋊Dic47—21no—
67C2×C4⋊Dic47—21no—
68C2×C4⋊Dic47—24no—
69C2×C4⋊Dic47D412yes—
70C2×C4⋊Dic47D411yescharacteristic
71C2×C4⋊Dic47D411yescharacteristic
72C2×C4⋊Dic47C2312yes—
73C2×C22⋊Dic47—22no—
74C2×C22⋊Dic47—21no—
75C2×C22⋊Dic47—28no—
76C2×C22⋊Dic47—48no—
77C2×C4×Dic47—22no—
78C2×C4×Dic47—21no—
79C2×C4×Dic47—22no—
80C2×C4×Dic47—22no—
81C2×C4×Dic47—21no—
82C2×C4×Dic47C2312yes—
83#13093951—28no—
84#13093945—24no—
85#13093945—24no—
86C25×C47—21no—
87C2×#41×C47—21no—
88C2×#41×C47—21no—
89C2×#41×C47—22no—
90C2×#41×C47—22no—
91C2×#41×C47C2×C414yes—
92C2×#41×C47D414yes—
93C2×#41×C47D412yes—
94C2×#41×C47C2312yes—
95C22×Q8×C47D411yescharacteristic
96C22×D4×C47—21no—
97C22×D4×C47—21no—
98C22×D4×C47—21no—
99C22×D4×C47—22no—
100C22×D4×C47—21no—
101C22×D4×C47—21no—
102C22×D4×C47—21no—
103C22×D4×C47—22no—
104C22×D4×C47—22no—
105C22×D4×C47C2×C414yescomplemented
106C22×D4×C47D411yescharacteristic
107C22×D4×C47C2312yes—
108C23×C4×C47—21no—
109C23×C4×C47C2311yescharacteristic
110AGL(1,ℤ/8)×C47—216no—
111AGL(1,ℤ/8)×C47—28no—
112AGL(1,ℤ/8)×C47C2×C4116yescomplemented
113C2×SD16×C47—28no—
114C2×SD16×C47—24no—
115C2×D8×C47—28no—
116C2×D8×C47—24no—
117C2×M16×C47—22no—
118C2×M16×C47—21no—
119C2×M16×C47C2×C414yescomplemented
120C2×M16×C47C2312yes—
121C22×C8×C47—21no—
122C24×C47—21no—
123C24×C47—24no—
124C24×C47—22no—
125C24×C47—44no—
126C24×C47—44no—
127C24×C47—41no—
128C24×C47—41no—
129C24×C47—42no—
130C24×C47C2×D411yescharacteristic
131#41×C47—24no—
132#41×C47—24no—
133#41×C47—24no—
134#41×C47—24no—
135#41×C47—24no—
136#41×C47—22no—
137#41×C47—22no—
138#41×C47C22⋊C418yescomplemented
139#41×C47C22×C414yes—
140#41×C47C2×D414yes—
141C2×Q8×C47—21no—
142C2×Q8×C47—22no—
143C2×Q8×C47C22⋊C414yescomplemented
144C2×Q8×C47C2×D412yes—
145C2×D4×C47—24no—
146C2×D4×C47—22no—
147C2×D4×C47—24no—
148C2×D4×C47—22no—
149C2×D4×C47—24no—
150C2×D4×C47—24no—
151C2×D4×C47—24no—
152C2×D4×C47—24no—
153C2×D4×C47—24no—
154C2×D4×C47—21no—
155C2×D4×C47—22no—
156C2×D4×C47—22no—
157C2×D4×C47—22no—
158C2×D4×C47—22no—
159C2×D4×C47—22no—
160C2×D4×C47—22no—
161C2×D4×C47—41no—
162C2×D4×C47—41no—
163C2×D4×C47—42no—
164C2×D4×C47—42no—
165C2×D4×C47—42no—
166C2×D4×C47—42no—
167C2×D4×C47—42no—
168C2×D4×C47C22⋊C414yescomplemented
169C2×D4×C47C22×C414yescomplemented
170C2×D4×C47C2×D412yes—
171C22×C4×C47—21no—
172C22×C4×C47—24no—
173C22×C4×C47—22no—
174C22×C4×C47—24no—
175C22×C4×C47—22no—
176C22×C4×C47C22×C412yes—
177C22×C4×C47C2×D411yescharacteristic
178C22×C4×C47C2×D411yescharacteristic
179C22×C4×C47C2×D412yes—
180C22×C4×C47C2×D411yescharacteristic
181C22×C4×C47C2×D411yescharacteristic
182C22×C4×C47C2×D411yescharacteristic
183C22×C4×C47#4112yes—
184C22×C4×C47#4112yes—
185C22×C4×C47C2411yescharacteristic
186C22×Dic47—24no—
187C22×Dic47—21no—
188C22×Dic47—22no—
189C22×Dic47—21no—
190C22×Dic47—22no—
191C22×Dic47—28no—
192C22×Dic47—22no—
193C22×Dic47—42no—
194C22×Dic47—42no—
195C22×Dic47—44no—
196C22×Dic47—84no—
197C22×Dic47C2×D414yes—
198SD16×C47—216no—
199D8×C47—216no—
200M16×C47—24no—
201M16×C47—22no—
202M16×C47C22×C414yescomplemented
203C2×C8×C47—24no—
204C2×C8×C47—22no—
205C22⋊Dic47—28no—
206C22⋊Dic47—22no—
207C22⋊Dic47—22no—
208C22⋊Dic47—416no—
209C4⋊Dic47—28no—
210C4⋊Dic47—22no—
211C4⋊Dic47—21no—
212C4⋊Dic47—22no—
213C4⋊Dic47—21no—
214C4⋊Dic47—22no—
215C4⋊Dic47—22no—
216C4⋊Dic47C2×D412yes—
217C4⋊Dic47C2×D412yes—
218C4×Dic47—28no—
219C4×Dic47—22no—
220C4×Dic47—22no—
221C4×Dic47—22no—
222C4×Dic47—22no—
223C4×Dic47—42no—
224#10625329—22no—
225#10625329—22no—
226#10625329—42no—
227C2×C47⋊C8—22no—
228C2×C47⋊C8—42no—
229C23×C47—22no—
230C23×C47—22no—
231C23×C47—22no—
232C23×C47—24no—
233C23×C47—24no—
234C23×C47—44no—
235C23×C47—416no—
236C23×C47—44no—
237C23×C47—42no—
238C23×C47—42no—
239C23×C47—42no—
240C23×C47—42no—
241C23×C47—44no—
242C23×C47—44no—
243C23×C47—88no—
244C23×C47—82no—
245C23×C47—82no—
246C23×C47—82no—
247C23×C47—82no—
248C23×C47C4×D412yes—
249C23×C47#12011yescharacteristic
250C23×C47#12011yescharacteristic
251C23×C47#12112yes—
252C23×C47C22×D411yescharacteristic
253Q8×C47—22no—
254Q8×C47—24no—
255Q8×C47C2×C22⋊C414yescomplemented
256D4×C47—24no—
257D4×C47—24no—
258D4×C47—28no—
259D4×C47—24no—
260D4×C47—24no—
261D4×C47—22no—
262D4×C47—24no—
263D4×C47—42no—
264D4×C47—42no—
265D4×C47—44no—
266D4×C47—44no—
267D4×C47C2×C22⋊C414yescomplemented
268C2×C4×C47—22no—
269C2×C4×C47—24no—
270C2×C4×C47—24no—
271C2×C4×C47—24no—
272C2×C4×C47—28no—
273C2×C4×C47C2×C22⋊C412yes—
274C2×C4×C47C2×C22⋊C412yes—
275C2×C4×C47C4×D412yes—
276C2×C4×C47C4×D412yes—
277C2×C4×C47C4×D412yes—
278C2×C4×C47#12011yescharacteristic
279C2×C4×C47#12011yescharacteristic
280C2×C4×C47#12112yes—
281C2×C4×C47#12112yes—
282C2×C4×C47#12112yes—
283C2×C4×C47#12312yes—
284C2×C4×C47#12312yes—
285C2×C4×C47C23×C411yescharacteristic
286C2×C4×C47C22×D411yescharacteristic
287C2×C4×C47C22×D411yescharacteristic
288C2×C4×C47C22×D411yescharacteristic
289C2×C4×C47C2×#4111yescharacteristic
290C2×C4×C47C2×#4111yescharacteristic
291C2×Dic47—24no—
292C2×Dic47—22no—
293C2×Dic47—24no—
294C2×Dic47—22no—
295C2×Dic47—48no—
296C2×Dic47—42no—
297C2×Dic47—42no—
298C2×Dic47—44no—
299C2×Dic47—42no—
300C2×Dic47—42no—
301C2×Dic47—44no—
302C2×Dic47—82no—
303C2×Dic47—88no—
304C8×C47—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—24no—
314C22×C47—48no—
315C22×C47—48no—
316C22×C47—42no—
317C22×C47—42no—
318C22×C47—44no—
319C22×C47—84no—
320C22×C47—88no—
321C22×C47—88no—
322C22×C47—82no—
323C22×C47—82no—
324C22×C47#38612yes—
325C22×C47#38612yes—
326C22×C47#45312yes—
327C22×C47#45412yes—
328C22×C47C2×C4×D411yescharacteristic
329C22×C47C2×#12011yescharacteristic
330C22×C47C2×#12111yescharacteristic
331C4×C47—24no—
332C4×C47#38612yes—
333C4×C47#38612yes—
334C4×C47C22×C22⋊C411yescharacteristic
335C4×C47C2×C4×D411yescharacteristic
336C4×C47C2×#12111yescharacteristic
337C4×C47C2×#12311yescharacteristic
338Dic47—44no—
339Dic47—44no—
340Dic47—42no—
341Dic47—42no—
342C22×AGL(1,ℤ/8)D4711yescharacteristic
343C2×#520—471no—
344C22×#104—471no—
345C2×#418—471no—
346C2×#390—471no—
347#1883—478no—
348C2×#343—471no—
349C2×#339—471no—
350C2×C47—21no—
351C2×C47—21no—
352C2×C47—22no—
353C2×C47—44no—
354C2×C47—84no—
355C2×C47#188314yescomplemented
356C2×C47C2×#38611yescharacteristic
357C2×C47C2×#45311yescharacteristic
358C2×C47C2×#45411yescharacteristic
359C22×#41C2×D4711yescharacteristic
360C23×D4C2×D4711yescharacteristic
361C2×AGL(1,ℤ/8)—24no—
362C2×AGL(1,ℤ/8)—22no—
363C2×AGL(1,ℤ/8)Dic4718yescomplemented
364C2×AGL(1,ℤ/8)C2×D4714yes—
365C22×SD16—21no—
366C22×D8—21no—
367C22×M16—471no—
368C22×M16C2×D4711yescharacteristic
369#520—474no—
370#520—942no—
371#520—942no—
372#520—942no—
373C2×C4×Q8—941no—
374C2×C4×D4—942no—
375C2×C4×D4—941no—
376C2×#117—471no—
377C2×#117—941no—
378C22×C4⋊C4—471no—
379C22×C4⋊C4—941no—
380C22×C22⋊C4—942no—
381C22×C42—471no—
382C2×#104—474no—
383C2×#104—944no—
384#418—474no—
385#418—942no—
386C2×#102—941no—
387C2×#102—941no—
388#390—474no—
389#390—942no—
390#343—474no—
391#339—474no—
392C47C2×#188311yescharacteristic, complemented, Sylow
393C25—21no—
394C2×#41—21no—
395C2×#41—21no—
396C2×#41—22no—
397C2×#41—22no—
398C2×#41C2×Dic4714yes—
399C2×#41C22⋊D4714yes—
400C2×#41C22⋊D4712yes—
401C2×#41C22×D4712yes—
402C22×Q8C22⋊D4711yescharacteristic
403C22×D4—21no—
404C22×D4—21no—
405C22×D4—21no—
406C22×D4—21no—
407C22×D4—22no—
408C22×D4—22no—
409C22×D4—21no—
410C22×D4—21no—
411C22×D4—22no—
412C22×D4C2×Dic4714yescomplemented
413C22×D4C22⋊D4711yescharacteristic
414C22×D4C22×D4712yes—
415C23×C4—21no—
416C23×C4—472no—
417C23×C4—942no—
418C23×C4—941no—
419C23×C4C22×D4711yescharacteristic
420AGL(1,ℤ/8)—216no—
421AGL(1,ℤ/8)—28no—
422AGL(1,ℤ/8)C2×Dic47116yescomplemented
423C2×SD16—28no—
424C2×SD16—24no—
425C2×D8—28no—
426C2×D8—24no—
427C2×M16—22no—
428C2×M16—21no—
429C2×M16—472no—
430C2×M16—941no—
431C2×M16—942no—
432C2×M16—942no—
433C2×M16C2×Dic4714yescomplemented
434C2×M16C22×D4712yes—
435C22×C8—21no—
436C22×C8—941no—
437C4×Q8—944no—
438C4×Q8—944no—
439C4×D4—948no—
440C4×D4—948no—
441C4×D4—944no—
442C4×D4—944no—
443#117—472no—
444#117—472no—
445#117—944no—
446#117—944no—
447#117—941no—
448#117—941no—
449C2×C4⋊C4—471no—
450C2×C4⋊C4—471no—
451C2×C4⋊C4—472no—
452C2×C4⋊C4—472no—
453C2×C4⋊C4—944no—
454C2×C4⋊C4—942no—
455C2×C4⋊C4—944no—
456C2×C4⋊C4—941no—
457C2×C4⋊C4—941no—
458C2×C4⋊C4—941no—
459C2×C4⋊C4—941no—
460C2×C22⋊C4—942no—
461C2×C22⋊C4—941no—
462C2×C22⋊C4—948no—
463C2×C22⋊C4—1888no—
464C2×C42—472no—
465C2×C42—942no—
466C2×C42—941no—
467C2×C42—942no—
468C2×C42—942no—
469C2×C42—941no—
470#104—948no—
471#102—944no—
472#102—944no—
473C24—21no—
474C24—24no—
475C24—22no—
476C24—44no—
477C24—44no—
478C24—41no—
479C24—41no—
480C24—42no—
481C24D4×D4711yescharacteristic
482#41—24no—
483#41—24no—
484#41—24no—
485#41—24no—
486#41—24no—
487#41—22no—
488#41—22no—
489#41C22⋊Dic4718yescomplemented
490#41C22×Dic4714yes—
491#41C2×C22⋊D4714yes—
492C2×Q8—21no—
493C2×Q8—22no—
494C2×Q8C22⋊Dic4714yescomplemented
495C2×Q8C2×C22⋊D4712yes—
496C2×D4—24no—
497C2×D4—22no—
498C2×D4—24no—
499C2×D4—22no—
500C2×D4—24no—
501C2×D4—24no—
502C2×D4—24no—
503C2×D4—24no—
504C2×D4—24no—
505C2×D4—21no—
506C2×D4—22no—
507C2×D4—22no—
508C2×D4—22no—
509C2×D4—22no—
510C2×D4—22no—
511C2×D4—22no—
512C2×D4—41no—
513C2×D4—41no—
514C2×D4—42no—
515C2×D4—42no—
516C2×D4—42no—
517C2×D4—42no—
518C2×D4—42no—
519C2×D4C22⋊Dic4714yescomplemented
520C2×D4C22×Dic4714yescomplemented
521C2×D4C2×C22⋊D4712yes—
522C22×C4—21no—
523C22×C4—24no—
524C22×C4—22no—
525C22×C4—24no—
526C22×C4—22no—
527C22×C4—474no—
528C22×C4—948no—
529C22×C4—942no—
530C22×C4—944no—
531C22×C4—941no—
532C22×C4—941no—
533C22×C4—942no—
534C22×C4—942no—
535C22×C4—3764no—
536C22×C4—1884no—
537C22×C4—1882no—
538C22×C4—1882no—
539C22×C4D4×D4711yescharacteristic
540C22×C4D4×D4711yescharacteristic
541C22×C4D4×D4711yescharacteristic
542C22×C4#1062535212yes—
543C22×C4#1062535212yes—
544C22×C4C22×Dic4712yes—
545C22×C4C2×C22⋊D4711yescharacteristic
546C22×C4C2×C22⋊D4711yescharacteristic
547C22×C4C2×C22⋊D4712yes—
548C22×C4C23×D4711yescharacteristic
549SD16—216no—
550D8—216no—
551M16—24no—
552M16—22no—
553M16—942no—
554M16—942no—
555M16—1882no—
556M16C22×Dic4714yescomplemented
557C2×C8—24no—
558C2×C8—22no—
559C2×C8—942no—
560C2×C8—1882no—
561C4⋊C4—472no—
562C4⋊C4—472no—
563C4⋊C4—948no—
564C4⋊C4—941no—
565C4⋊C4—942no—
566C4⋊C4—942no—
567C4⋊C4—941no—
568C4⋊C4—942no—
569C4⋊C4—942no—
570C22⋊C4—948no—
571C22⋊C4—942no—
572C22⋊C4—942no—
573C22⋊C4—18816no—
574C42—948no—
575C42—942no—
576C42—942no—
577C42—942no—
578C42—942no—
579C42—1882no—
580C23—22no—
581C23—22no—
582C23—24no—
583C23—22no—
584C23—24no—
585C23—44no—
586C23—44no—
587C23—416no—
588C23—42no—
589C23—42no—
590C23—44no—
591C23—44no—
592C23—42no—
593C23—42no—
594C23—82no—
595C23—82no—
596C23—88no—
597C23—82no—
598C23—82no—
599C23D4×Dic4712yes—
600C23#1309399211yescharacteristic
601C23#1309399211yescharacteristic
602C23#1309399612yes—
603C23C2×D4×D4711yescharacteristic
604Q8—24no—
605Q8—22no—
606Q8C2×C22⋊Dic4714yescomplemented
607D4—28no—
608D4—24no—
609D4—24no—
610D4—24no—
611D4—24no—
612D4—24no—
613D4—22no—
614D4—44no—
615D4—44no—
616D4—42no—
617D4—42no—
618D4C2×C22⋊Dic4714yescomplemented
619C2×C4—24no—
620C2×C4—22no—
621C2×C4—28no—
622C2×C4—24no—
623C2×C4—24no—
624C2×C4—944no—
625C2×C4—942no—
626C2×C4—942no—
627C2×C4—944no—
628C2×C4—3762no—
629C2×C4—3768no—
630C2×C4—1882no—
631C2×C4—1888no—
632C2×C4—1882no—
633C2×C4—1884no—
634C2×C4—1882no—
635C2×C4—1882no—
636C2×C4—1884no—
637C2×C4C2×C22⋊Dic4712yes—
638C2×C4C2×C22⋊Dic4712yes—
639C2×C4D4×Dic4712yes—
640C2×C4D4×Dic4712yes—
641C2×C4D4×Dic4712yes—
642C2×C4#1309399211yescharacteristic
643C2×C4#1309399211yescharacteristic
644C2×C4#1309399612yes—
645C2×C4#1309399612yes—
646C2×C4#1309399612yes—
647C2×C4#1309400512yes—
648C2×C4#1309400512yes—
649C2×C4C23×Dic4711yescharacteristic
650C2×C4C2×D4×D4711yescharacteristic
651C2×C4C22×C22⋊D4711yescharacteristic
652C2×C4C22×C22⋊D4711yescharacteristic
653C2×C4C2×#1062535211yescharacteristic
654C2×C4C2×#1062535211yescharacteristic
655C8—24no—
656C8—1882no—
657C22—21no—
658C22—21no—
659C22—21no—
660C22—21no—
661C22—24no—
662C22—24no—
663C22—24no—
664C22—48no—
665C22—42no—
666C22—42no—
667C22—48no—
668C22—44no—
669C22—84no—
670C22—88no—
671C22—82no—
672C22—82no—
673C22—88no—
674C22#1568900312yes—
675C22#1568900312yes—
676C22#1568928912yes—
677C22#1568929412yes—
678C22C2×D4×Dic4711yescharacteristic
679C22C2×#1309399211yescharacteristic
680C22C2×#1309399611yescharacteristic
681C4—24no—
682C4—1884no—
683C4—1882no—
684C4—1884no—
685C4—1882no—
686C4#1568900312yes—
687C4#1568900312yes—
688C4C22×C22⋊Dic4711yescharacteristic
689C4C2×D4×Dic4711yescharacteristic
690C4C2×#1309399611yescharacteristic
691C4C2×#1309400511yescharacteristic
692C2—21no—
693C2—21no—
694C2—22no—
695C2—44no—
696C2—84no—
697C2#2024376614yesdirect product factor
698C2C2×#1568900311yescharacteristic
699C2C2×#1568928911yescharacteristic
700C2C2×#1568929411yescharacteristic
subgroupG/H
centerC23#13093992
commutatorC2×C4×C47C23×C4
FrattiniC22×C4C23×D47
Fitting, prime radicalC22×AGL(1,ℤ/8)×C47C2
socleC23×C47#120
cosocleC22×C4×C47C24
hypercenterC22×AGL(1,ℤ/8)D47
hypocenterC47C2×#1883
LCSG ▷ C2×C4×C47 ▷ C2×C47 ▷ C47
UCSC1 ◁ C23 ◁ C23×C4 ◁ C22×AGL(1,ℤ/8)

Complements

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

NH ≅ G/Ntype
1. C2×#15689606C2semidirect
2. C22×#13093951C2semidirect
3. C2×#15689128C2semidirect
4. C2×#15689026C2semidirect
5. #20243766C2direct (N × H)
6. C2×#15688891C2semidirect
7. C2×#15688884C2semidirect
13. #15689606C22semidirect
24. C2×#13093951C22semidirect
26. #15689128C22semidirect
30. #15689026C22semidirect
31. #15688891C22semidirect
32. #15688884C22semidirect
37. C2×AGL(1,ℤ/8)×C47C4semidirect
105. C22×D4×C47C2×C4semidirect
112. AGL(1,ℤ/8)×C47C2×C4semidirect
119. C2×M16×C47C2×C4semidirect
138. #41×C47C22⋊C4semidirect
143. C2×Q8×C47C22⋊C4semidirect
168. C2×D4×C47C22⋊C4semidirect
169. C2×D4×C47C22×C4semidirect
202. M16×C47C22×C4semidirect
255. Q8×C47C2×C22⋊C4semidirect
267. D4×C47C2×C22⋊C4semidirect
355. C2×C47#1883semidirect
363. C2×AGL(1,ℤ/8)Dic47semidirect
392. C47C2×#1883semidirect
412. C22×D4C2×Dic47semidirect
422. AGL(1,ℤ/8)C2×Dic47semidirect
433. C2×M16C2×Dic47semidirect
489. #41C22⋊Dic47semidirect
494. C2×Q8C22⋊Dic47semidirect
519. C2×D4C22⋊Dic47semidirect
520. C2×D4C22×Dic47semidirect
556. M16C22×Dic47semidirect
606. Q8C2×C22⋊Dic47semidirect
618. D4C2×C22⋊Dic47semidirect
697. C2#20243766direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#156896062
C22×#130939512
C2×#156891282
C2×#156890262
#202437662
C2×#156888912
C2×#156888842
C22×AGL(1,ℤ/8)×C472
C2×#188347