Finite Group Databasebeta

← C2×#20253309 #27084054

Subgroups — C2×#20253309 #27084054

Order 12032.

2650 conjugacy classes of subgroups.

The subgroup lattice has 686 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#15689630C211yesmaximal, characteristic
2C22×C4⋊C4×D47C211yesmaximal, characteristic, complemented
3#20253309C2116yesmaximal, direct product factor
4C2×#15689457C212yesmaximal, complemented
5C2×#15689440C212yesmaximal, complemented
6C2×#15689452C212yesmaximal, complemented
7C2×#15689435C212yesmaximal, complemented
8C2×#15689165C211yesmaximal, characteristic, complemented
9C2×#15689163C211yesmaximal, characteristic, complemented
10C2×#15689124C211yesmaximal, characteristic, complemented
11C2×#15689086C211yesmaximal, characteristic, complemented
12C2×C47×#417C211yesmaximal, characteristic, complemented
13C23×C4×D47—21no—
14C23×C4×D47C2211yescharacteristic
15C22×#10625329C2211yescharacteristic
16#15689630—24no—
17#15689630C2218yes—
18C2×#13094005—21no—
19C2×#13094000C2211yescharacteristic
20C2×#13094000C2211yescharacteristic
21C2×#13093995C2211yescharacteristic
22C2×#13093995C2211yescharacteristic
23C2×#13093992—21no—
24C2×C4×C22⋊D47—21no—
25C2×C4×C22⋊D47—21no—
26C2×#13093983C2211yescharacteristic
27C22×C4⋊Dic47C2211yescharacteristic
28C22×Dic47⋊C4—21no—
29C2×C4⋊C4×D47—24no—
30C2×C4⋊C4×D47—21no—
31C2×C4⋊C4×D47—21no—
32C2×C4⋊C4×D47C2212yes—
33C2×C4⋊C4×D47C2212yes—
34C2×C4⋊C4×D47C2218yescomplemented
35#15689457C22116yescomplemented
36#15689452C22116yescomplemented
37#15689440C22116yescomplemented
38#15689435C22116yescomplemented
39#15689165C2218yescomplemented
40#15689163C2218yescomplemented
41C2×#13093958C2212yescomplemented
42C2×#13093957C2212yescomplemented
43C2×#13093956C2212yescomplemented
44C2×#13093955C2212yescomplemented
45#15689124C2218yescomplemented
46C2×#13093948C2212yescomplemented
47C2×#13093945C2212yescomplemented
48#15689086C2218yescomplemented
49C2×(C2×D47)⋊C8C2212yes—
50C2×(C2×D47)⋊C8C2212yes—
51C22×#41×C47C2211yescharacteristic
52C22×M16×C47C2211yescharacteristic
53C22×C4⋊C4×C47C2211yescharacteristic
54C47×#417C2218yescomplemented
55C2×#103×C47C2212yescomplemented
56C2×#102×C47C2212yescomplemented
57C24×D47D411yescharacteristic
58C22×C22⋊D47—21no—
59C22×C22⋊D47—21no—
60C23×Dic47—21no—
61C23×Dic47D411yescharacteristic
62C22×C4×D47—24no—
63C22×C4×D47—24no—
64C22×C4×D47—22no—
65C22×C4×D47—22no—
66C22×C4×D47—28no—
67C22×C4×D47—48no—
68C22×C4×D47D411yescharacteristic
69C22×C4×D47D411yescharacteristic
70C22×C4×D47D414yes—
71C22×C4×D47C2311yescharacteristic
72C22×C4×D47C2311yescharacteristic
73C22×C4×D47C2314yes—
74C2×#10625329—24no—
75C2×#10625329C2314yes—
76C22×C47⋊C8C2312yes—
77#13094005—28no—
78#13094000—22no—
79#13094000—22no—
80#13094000C2314yes—
81#13094000C2314yes—
82#13093995—22no—
83#13093995—22no—
84#13093995C2314yes—
85#13093995C2314yes—
86#13093992—28no—
87C4×C22⋊D47—28no—
88C4×C22⋊D47—28no—
89#13093983—22no—
90#13093983C2314yes—
91C2×C4⋊Dic47—21no—
92C2×C4⋊Dic47—22no—
93C2×C4⋊Dic47C2312yes—
94C2×C4⋊Dic47C2314yes—
95C2×C4⋊Dic47C2311yescharacteristic
96C2×C4⋊Dic47C2311yescharacteristic
97C2×Dic47⋊C4—22no—
98C2×Dic47⋊C4—22no—
99C2×Dic47⋊C4—28no—
100C2×Dic47⋊C4—21no—
101C2×Dic47⋊C4—21no—
102C4⋊C4×D47—24no—
103C4⋊C4×D47—24no—
104C4⋊C4×D47—28no—
105C4⋊C4×D47—28no—
106C4⋊C4×D47C2318yes—
107C4⋊C4×D47C2318yes—
108C2×C22⋊Dic47—21no—
109C2×C22⋊Dic47—21no—
110C2×C22⋊Dic47—21no—
111C2×(C2×D47)⋊C4—21no—
112C2×(C2×D47)⋊C4—21no—
113C2×C4×Dic47—21no—
114#13093958C2318yescomplemented
115#13093957C2318yescomplemented
116#13093956C2318yescomplemented
117#13093955C2318yescomplemented
118#13093948C2318yescomplemented
119#13093945C2318yescomplemented
120(C2×D47)⋊C8C2318yes—
121(C2×D47)⋊C8C2318yes—
122C2×#41×C47—22no—
123C2×#41×C47—24no—
124C2×#41×C47—24no—
125C2×#41×C47C2314yes—
126C22×Q8×C47C2311yescharacteristic
127C22×D4×C47—21no—
128C22×D4×C47C2311yescharacteristic
129C23×C4×C47—21no—
130C23×C4×C47—21no—
131C23×C4×C47C2311yescharacteristic
132C2×M16×C47—24no—
133C2×M16×C47C2314yes—
134C22×C8×C47C2312yes—
135C2×C4⋊C4×C47—21no—
136C2×C4⋊C4×C47—22no—
137C2×C4⋊C4×C47C2312yes—
138C2×C4⋊C4×C47C2314yes—
139#103×C47C2318yescomplemented
140#102×C47C2318yescomplemented
141C24×C47—21no—
142C24×C47C2×D411yescharacteristic
143C23×D47—24no—
144C23×D47—24no—
145C23×D47—24no—
146C23×D47C2×D414yes—
147C23×D47C2×D411yescharacteristic
148C23×D47C2×D411yescharacteristic
149#41×C47—28no—
150#41×C47—28no—
151#41×C47—48no—
152C2×Q8×C47—21no—
153C2×Q8×C47—22no—
154C2×Q8×C47—22no—
155C2×Q8×C47C2412yes—
156C2×D4×C47—24no—
157C2×D4×C47—21no—
158C2×D4×C47—22no—
159C2×D4×C47—22no—
160C2×D4×C47—44no—
161C2×D4×C47C2412yes—
162C22×C4×C47—24no—
163C22×C4×C47—22no—
164C22×C4×C47—21no—
165C22×C4×C47—24no—
166C22×C4×C47—44no—
167C22×C4×C47—44no—
168C22×C4×C47C2×D411yescharacteristic
169C22×C4×C47C2×D412yes—
170C22×C4×C47#4114yes—
171C22×C4×C47#4114yes—
172C22×C4×C47C2411yescharacteristic
173C22×C4×C47C2412yes—
174C2×C22⋊D47—24no—
175C2×C22⋊D47—24no—
176C2×C22⋊D47—44no—
177C2×C22⋊D47—44no—
178C22×Dic47—24no—
179C22×Dic47—21no—
180C22×Dic47—21no—
181C22×Dic47—24no—
182C22×Dic47—22no—
183C22×Dic47—44no—
184C22×Dic47C2×D411yescharacteristic
185C22×Dic47C2×D411yescharacteristic
186C22×Dic47C2×D414yes—
187C2×C4×D47—24no—
188C2×C4×D47—24no—
189C2×C4×D47—216no—
190C2×C4×D47—22no—
191C2×C4×D47—22no—
192C2×C4×D47—28no—
193C2×C4×D47—22no—
194C2×C4×D47—22no—
195C2×C4×D47—28no—
196C2×C4×D47—28no—
197C2×C4×D47—28no—
198C2×C4×D47—48no—
199C2×C4×D47—432no—
200C2×C4×D47—48no—
201C2×C4×D47C2×D414yes—
202C2×C4×D47C2×D414yes—
203C2×C4×D47C2×D412yes—
204C2×C4×D47C2×D412yes—
205C2×C4×D47C2412yes—
206C2×C4×D47C2412yes—
207M16×C47—28no—
208C2×C8×C47—24no—
209C2×C8×C47C2414yes—
210C4⋊C4×C47—24no—
211C4⋊C4×C47—22no—
212C4⋊C4×C47C2414yes—
213C22⋊Dic47—24no—
214C22⋊Dic47—24no—
215C22⋊Dic47—24no—
216(C2×D47)⋊C4—24no—
217(C2×D47)⋊C4—24no—
218C4⋊Dic47—24no—
219C4⋊Dic47—22no—
220C4⋊Dic47—21no—
221C4⋊Dic47—21no—
222C4⋊Dic47C2414yes—
223C4⋊Dic47C2412yes—
224C4⋊Dic47C2412yes—
225Dic47⋊C4—28no—
226Dic47⋊C4—28no—
227Dic47⋊C4—24no—
228Dic47⋊C4—24no—
229C4×Dic47—24no—
230#10625329—28no—
231C2×C47⋊C8—24no—
232C2×C47⋊C8C2414yes—
233C23×C47—22no—
234C23×C47—22no—
235C23×C47—22no—
236C23×C47—42no—
237C23×C47—42no—
238C23×C47—42no—
239C23×C47#12314yes—
240C23×C47C22×D412yes—
241C23×C47C22×D411yescharacteristic
242C22×D47—232no—
243C22×D47—28no—
244C22×D47—22no—
245C22×D47—22no—
246C22×D47—22no—
247C22×D47—22no—
248C22×D47—28no—
249C22×D47—28no—
250C22×D47AGL(1,ℤ/8)14yes—
251C22×D47#13714yes—
252C22×D47C22×D412yes—
253C22×D47C22×D412yes—
254Q8×C47—22no—
255Q8×C47—22no—
256Q8×C47—42no—
257D4×C47—22no—
258D4×C47—22no—
259D4×C47—48no—
260D4×C47—42no—
261C2×C4×C47—22no—
262C2×C4×C47—24no—
263C2×C4×C47—48no—
264C2×C4×C47—42no—
265C2×C4×C47—44no—
266C2×C4×C47—48no—
267C2×C4×C47#12314yes—
268C2×C4×C47#12318yes—
269C2×C4×C47C22×D412yes—
270C2×C4×C47C22×D411yescharacteristic
271C2×C4×C47C2×#4112yes—
272C2×C4×C47C2×#4114yes—
273C2×C4×C47C2×#4112yes—
274C2×C4×C47C2×#4114yes—
275C2×C4×C47C2511yescharacteristic
276C22⋊D47—48no—
277C22⋊D47—48no—
278C2×Dic47—28no—
279C2×Dic47—22no—
280C2×Dic47—22no—
281C2×Dic47—22no—
282C2×Dic47—22no—
283C2×Dic47—24no—
284C2×Dic47—48no—
285C2×Dic47—44no—
286C2×Dic47—42no—
287C2×Dic47—42no—
288C2×Dic47C22×D412yes—
289C2×Dic47C22×D412yes—
290C4×D47—28no—
291C4×D47—28no—
292C4×D47—24no—
293C4×D47—24no—
294C4×D47—22no—
295C4×D47—22no—
296C4×D47—22no—
297C4×D47—22no—
298C4×D47—416no—
299C4×D47—416no—
300C8×C47—24no—
301C47⋊C8—24no—
302C2×#3092—471nomaximal, Sylow
303C22×C47—28no—
304C22×C47—22no—
305C22×C47—22no—
306C22×C47—42no—
307C22×C47—42no—
308C22×C47—42no—
309C22×C47—84no—
310C22×C47C2×#12314yes—
311C22×C47C2×#12312yes—
312C22×C47C2×AGL(1,ℤ/8)12yes—
313C22×C47C2×#13712yes—
314C22×C47C23×D411yescharacteristic
315C2×D47—232no—
316C2×D47—28no—
317C2×D47—28no—
318C2×D47—22no—
319C2×D47—22no—
320C2×D47—22no—
321C2×D47—22no—
322C2×D47C2×AGL(1,ℤ/8)14yes—
323C2×D47C2×#13714yes—
324C4×C47—42no—
325C4×C47—44no—
326C4×C47C2×#12314yes—
327C4×C47C2×#12312yes—
328C4×C47C22×#4111yescharacteristic
329C4×C47C22×#4111yescharacteristic
330Dic47—22no—
331Dic47—22no—
332Dic47—44no—
333Dic47—42no—
334Dic47—42no—
335C2×#525—471no—
336C23×C4⋊C4—471no—
337#3092—4716no—
338C2×#484—472no—
339C2×#481—472no—
340C2×#483—472no—
341C2×#480—472no—
342C2×#428—471no—
343C2×#428—471no—
344C2×#417—471no—
345C2×#417D4711yescharacteristic, complemented
346C2×#407—471no—
347C2×C47—24no—
348C2×C47—82no—
349C2×C47#309214yescomplemented
350C2×C47C22×#12311yescharacteristic
351C2×C47C22×AGL(1,ℤ/8)11yescharacteristic
352C2×C47C22×#13711yescharacteristic
353D47—24no—
354D47—24no—
355C22×#41C2×D4711yescharacteristic
356C24×C4—471no—
357C24×C4—941no—
358C22×M16—471no—
359C22×M16C2×D4711yescharacteristic
360#525—478no—
361#525—944no—
362C2×#123—941no—
363C2×C22⋊Q8—471no—
364C2×C22⋊Q8—471no—
365C2×#121—471no—
366C2×#121—471no—
367C2×#120—941no—
368C2×C4×D4—941no—
369C2×C4×D4—941no—
370C2×#117—471no—
371C22×C4⋊C4—471no—
372C22×C4⋊C4—472no—
373C22×C4⋊C4—472no—
374C22×C4⋊C4—478no—
375C22×C4⋊C4—941no—
376C22×C4⋊C4—941no—
377C22×C4⋊C4—944no—
378C22×C4⋊C4—941no—
379C22×C4⋊C4C2×D4711yescharacteristic
380#484—4716no—
381#483—4716no—
382#481—4716no—
383#480—4716no—
384#428—478no—
385#428—478no—
386C2×#107—472no—
387C2×#107—472no—
388C2×#106—472no—
389C2×#106—472no—
390#417—478no—
391#417C2×D4718yescomplemented
392C2×#103—472no—
393C2×#103C2×D4712yescomplemented
394C2×#102—472no—
395C2×#102C2×D4712yescomplemented
396#407—478no—
397C2×C22⋊C8—472no—
398C2×C22⋊C8—472no—
399C47C2×#309211yescharacteristic, complemented, Sylow
400C25—471no—
401C2×#41—22no—
402C2×#41—24no—
403C2×#41—24no—
404C2×#41C22×D4714yes—
405C22×Q8C22×D4711yescharacteristic
406C22×D4—21no—
407C22×D4—941no—
408C22×D4—941no—
409C22×D4C22×D4711yescharacteristic
410C23×C4—21no—
411C23×C4—21no—
412C23×C4—471no—
413C23×C4—471no—
414C23×C4—471no—
415C23×C4—474no—
416C23×C4—471no—
417C23×C4—471no—
418C23×C4—474no—
419C23×C4—948no—
420C23×C4—942no—
421C23×C4—942no—
422C23×C4—944no—
423C23×C4—944no—
424C23×C4—941no—
425C23×C4—1888no—
426C23×C4C22×D4711yescharacteristic
427C2×M16—24no—
428C2×M16—474no—
429C2×M16—944no—
430C2×M16C22×D4714yes—
431C22×C8—472no—
432C22×C8C22×D4712yes—
433#123—948no—
434C22⋊Q8—474no—
435C22⋊Q8—474no—
436C22⋊Q8—942no—
437C22⋊Q8—942no—
438#121—474no—
439#121—474no—
440#121—942no—
441#121—942no—
442#120—948no—
443C4×D4—948no—
444C4×D4—948no—
445#117—474no—
446#117—942no—
447C2×C4⋊C4—22no—
448C2×C4⋊C4—21no—
449C2×C4⋊C4—472no—
450C2×C4⋊C4—474no—
451C2×C4⋊C4—471no—
452C2×C4⋊C4—471no—
453C2×C4⋊C4—478no—
454C2×C4⋊C4—478no—
455C2×C4⋊C4—948no—
456C2×C4⋊C4—948no—
457C2×C4⋊C4—944no—
458C2×C4⋊C4—944no—
459C2×C4⋊C4—948no—
460C2×C4⋊C4—942no—
461C2×C4⋊C4—942no—
462C2×C4⋊C4—941no—
463C2×C4⋊C4—941no—
464C2×C4⋊C4—942no—
465C2×C4⋊C4—941no—
466C2×C4⋊C4C22×D4712yes—
467C2×C4⋊C4C22×D4714yes—
468C2×C22⋊C4—941no—
469C2×C22⋊C4—941no—
470C2×C22⋊C4—941no—
471C2×C22⋊C4—941no—
472C2×C22⋊C4—941no—
473C2×C42—941no—
474#107—478no—
475#107—478no—
476#106—478no—
477#106—478no—
478#103—478no—
479#103C22×D4718yescomplemented
480#102—478no—
481#102C22×D4718yescomplemented
482C22⋊C8—478no—
483C22⋊C8—478no—
484C24—21no—
485C24—471no—
486C24—471no—
487C24—474no—
488C24—944no—
489C24—944no—
490C24—944no—
491C24D4×D4711yescharacteristic
492#41—28no—
493#41—28no—
494#41—48no—
495C2×Q8—21no—
496C2×Q8—22no—
497C2×Q8—22no—
498C2×Q8C23×D4712yes—
499C2×D4—24no—
500C2×D4—21no—
501C2×D4—22no—
502C2×D4—22no—
503C2×D4—44no—
504C2×D4—944no—
505C2×D4—944no—
506C2×D4—1884no—
507C2×D4—1884no—
508C2×D4C23×D4712yes—
509C22×C4—24no—
510C22×C4—21no—
511C22×C4—22no—
512C22×C4—24no—
513C22×C4—44no—
514C22×C4—44no—
515C22×C4—474no—
516C22×C4—471no—
517C22×C4—471no—
518C22×C4—474no—
519C22×C4—474no—
520C22×C4—472no—
521C22×C4—472no—
522C22×C4—472no—
523C22×C4—472no—
524C22×C4—948no—
525C22×C4—948no—
526C22×C4—944no—
527C22×C4—944no—
528C22×C4—944no—
529C22×C4—9416no—
530C22×C4—942no—
531C22×C4—942no—
532C22×C4—948no—
533C22×C4—942no—
534C22×C4—942no—
535C22×C4—948no—
536C22×C4—944no—
537C22×C4—941no—
538C22×C4—941no—
539C22×C4—942no—
540C22×C4—1888no—
541C22×C4—18832no—
542C22×C4—1888no—
543C22×C4—1884no—
544C22×C4#1062535014yes—
545C22×C4D4×D4712yes—
546C22×C4D4×D4711yescharacteristic
547C22×C4#1062535214yes—
548C22×C4C23×D4712yes—
549C22×C4C23×D4711yescharacteristic
550M16—28no—
551M16—948no—
552C2×C8—24no—
553C2×C8—474no—
554C2×C8—944no—
555C2×C8C23×D4714yes—
556C4⋊C4—24no—
557C4⋊C4—22no—
558C4⋊C4—474no—
559C4⋊C4—472no—
560C4⋊C4—472no—
561C4⋊C4—948no—
562C4⋊C4—948no—
563C4⋊C4—944no—
564C4⋊C4—944no—
565C4⋊C4—944no—
566C4⋊C4—942no—
567C4⋊C4—941no—
568C4⋊C4—941no—
569C4⋊C4C23×D4714yes—
570C22⋊C4—944no—
571C22⋊C4—944no—
572C22⋊C4—944no—
573C22⋊C4—944no—
574C22⋊C4—944no—
575C42—944no—
576C23—22no—
577C23—22no—
578C23—22no—
579C23—42no—
580C23—42no—
581C23—42no—
582C23—474no—
583C23—474no—
584C23—472no—
585C23—472no—
586C23—948no—
587C23—948no—
588C23—9432no—
589C23—948no—
590C23—942no—
591C23—942no—
592C23—942no—
593C23—942no—
594C23#1309400614yes—
595C23C2×D4×D4712yes—
596C23C2×D4×D4711yescharacteristic
597Q8—22no—
598Q8—22no—
599Q8—42no—
600D4—22no—
601D4—22no—
602D4—48no—
603D4—42no—
604D4—1888no—
605D4—1888no—
606C2×C4—22no—
607C2×C4—24no—
608C2×C4—48no—
609C2×C4—42no—
610C2×C4—44no—
611C2×C4—48no—
612C2×C4—472no—
613C2×C4—472no—
614C2×C4—948no—
615C2×C4—942no—
616C2×C4—942no—
617C2×C4—948no—
618C2×C4—948no—
619C2×C4—944no—
620C2×C4—944no—
621C2×C4—942no—
622C2×C4—942no—
623C2×C4—942no—
624C2×C4—942no—
625C2×C4—942no—
626C2×C4—942no—
627C2×C4—944no—
628C2×C4—18816no—
629C2×C4—18816no—
630C2×C4—1888no—
631C2×C4—1884no—
632C2×C4—1882no—
633C2×C4—1882no—
634C2×C4#1309400614yes—
635C2×C4#1309400618yes—
636C2×C4C2×D4×D4712yes—
637C2×C4C2×D4×D4711yescharacteristic
638C2×C4C2×#1062535212yes—
639C2×C4C2×#1062535214yes—
640C2×C4C2×#1062535012yes—
641C2×C4C2×#1062535014yes—
642C2×C4C24×D4711yescharacteristic
643C8—24no—
644C8—944no—
645C22—22no—
646C22—22no—
647C22—28no—
648C22—42no—
649C22—42no—
650C22—42no—
651C22—84no—
652C22—474no—
653C22—474no—
654C22—9432no—
655C22—942no—
656C22—942no—
657C22—942no—
658C22—942no—
659C22—948no—
660C22—948no—
661C22C2×#1309400614yes—
662C22C2×#1309400612yes—
663C22AGL(1,ℤ/8)×D4712yes—
664C22#137×D4712yes—
665C22C22×D4×D4711yescharacteristic
666C4—44no—
667C4—42no—
668C4—942no—
669C4—942no—
670C4—1884no—
671C4—1882no—
672C4—1882no—
673C4C2×#1309400614yes—
674C4C2×#1309400612yes—
675C4C22×#1062535211yescharacteristic
676C4C22×#1062535011yescharacteristic
677C2—24no—
678C2—82no—
679C2—944no—
680C2—944no—
681C2#2025330914yesdirect product factor
682C2C22×#1309400611yescharacteristic
683C2C2×AGL(1,ℤ/8)×D4711yescharacteristic
684C2C2×#137×D4711yescharacteristic
subgroupG/H
centerC23C2×D4×D47
commutator, cosocleC2×C4×C47C25
FrattiniC2×C4C24×D47
FittingC2×C47×#417C2
socleC23×C47C22×D4
prime radicalC2×#15689630C2
hypercenterC2×#417D47
hypocenterC47C2×#3092
LCSG ▷ C2×C4×C47 ▷ C2×C47 ▷ C47
UCSC1 ◁ C23 ◁ C23×C4 ◁ C2×#417

Complements

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

NH ≅ G/Ntype
2. C22×C4⋊C4×D47C2semidirect
3. #20253309C2direct (N × H)
4. C2×#15689457C2semidirect
5. C2×#15689440C2semidirect
6. C2×#15689452C2semidirect
7. C2×#15689435C2semidirect
8. C2×#15689165C2semidirect
9. C2×#15689163C2semidirect
10. C2×#15689124C2semidirect
11. C2×#15689086C2semidirect
12. C2×C47×#417C2semidirect
34. C2×C4⋊C4×D47C22semidirect
35. #15689457C22semidirect
36. #15689452C22semidirect
37. #15689440C22semidirect
38. #15689435C22semidirect
39. #15689165C22semidirect
40. #15689163C22semidirect
41. C2×#13093958C22semidirect
42. C2×#13093957C22semidirect
43. C2×#13093956C22semidirect
44. C2×#13093955C22semidirect
45. #15689124C22semidirect
46. C2×#13093948C22semidirect
47. C2×#13093945C22semidirect
48. #15689086C22semidirect
54. C47×#417C22semidirect
55. C2×#103×C47C22semidirect
56. C2×#102×C47C22semidirect
114. #13093958C23semidirect
115. #13093957C23semidirect
116. #13093956C23semidirect
117. #13093955C23semidirect
118. #13093948C23semidirect
119. #13093945C23semidirect
139. #103×C47C23semidirect
140. #102×C47C23semidirect
345. C2×#417D47semidirect
349. C2×C47#3092semidirect
391. #417C2×D47semidirect
393. C2×#103C2×D47semidirect
395. C2×#102C2×D47semidirect
399. C47C2×#3092semidirect
479. #103C22×D47semidirect
481. #102C22×D47semidirect
681. C2#20253309direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#156896302
C22×C4⋊C4×D472
#202533092
C2×#156894572
C2×#156894402
C2×#156894522
C2×#156894352
C2×#156891652
C2×#156891632
C2×#156891242
C2×#156890862
C2×C47×#4172
C2×#309247