Finite Group Databasebeta

← C2×#24917389 #36272185

Subgroups — C2×#24917389 #36272185

Order 21248.

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×#19128213C211yesmaximal, characteristic
2C22×C4⋊C4×D83C211yesmaximal, characteristic, complemented
3#24917389C2116yesmaximal, direct product factor
4C2×#19128038C212yesmaximal, complemented
5C2×#19128021C212yesmaximal, complemented
6C2×#19128033C212yesmaximal, complemented
7C2×#19128016C212yesmaximal, complemented
8C2×#19127744C211yesmaximal, characteristic, complemented
9C2×#19127703C211yesmaximal, characteristic, complemented
10C2×#19127700C211yesmaximal, characteristic, complemented
11C2×#19127664C211yesmaximal, characteristic, complemented
12C2×#428×C83C211yesmaximal, characteristic, complemented
13C22×#13050590C2211yescharacteristic
14C23×C4×D83—21no—
15C23×C4×D83C2211yescharacteristic
16C22×#13050574C2211yescharacteristic
17#19128213—24no—
18#19128213C2218yes—
19C2×#14581776—21no—
20C2×#14581772C2211yescharacteristic
21C2×#14581772C2211yescharacteristic
22C2×#14581767C2211yescharacteristic
23C2×#14581767C2211yescharacteristic
24C2×#14581762—21no—
25C2×C4×D332—21no—
26C2×C4×D332—21no—
27C22×C4⋊Dic83C2211yescharacteristic
28C22×Dic83⋊C4—21no—
29C2×C4⋊C4×D83—21no—
30C2×C4⋊C4×D83—21no—
31C2×C4⋊C4×D83—24no—
32C2×C4⋊C4×D83C2212yes—
33C2×C4⋊C4×D83C2212yes—
34C2×C4⋊C4×D83C2218yescomplemented
35#19128038C22116yescomplemented
36#19128033C22116yescomplemented
37#19128021C22116yescomplemented
38#19128016C22116yescomplemented
39#19127744C2218yescomplemented
40C2×#14581725C2212yescomplemented
41C2×#14581723C2212yescomplemented
42#19127703C2218yescomplemented
43#19127700C2218yescomplemented
44C2×#14581717C2212yescomplemented
45C2×#14581715C2212yescomplemented
46C2×#14581714C2212yescomplemented
47C2×#14581712C2212yescomplemented
48#19127664C2218yescomplemented
49C2×(C2×D83)⋊C8C2212yes—
50C2×(C2×D83)⋊C8C2212yes—
51C22×M16×C83C2211yescharacteristic
52C2×#117×C83C2211yescharacteristic
53C22×C4⋊C4×C83C2211yescharacteristic
54#428×C83C2218yescomplemented
55C2×#107×C83C2212yescomplemented
56C2×#106×C83C2212yescomplemented
57C24×D83D411yescharacteristic
58C2×#13050590—22no—
59C2×#13050590—24no—
60C2×#13050590—24no—
61C2×#13050590C2314yes—
62C22×Dic166C2311yescharacteristic
63C22×D332—21no—
64C22×D332—21no—
65C22×D332C2311yescharacteristic
66C22×C22⋊D83—21no—
67C23×Dic83—21no—
68C23×Dic83D411yescharacteristic
69C22×C4×D83—22no—
70C22×C4×D83—22no—
71C22×C4×D83—28no—
72C22×C4×D83—21no—
73C22×C4×D83—24no—
74C22×C4×D83—24no—
75C22×C4×D83—48no—
76C22×C4×D83D411yescharacteristic
77C22×C4×D83D411yescharacteristic
78C22×C4×D83D414yes—
79C22×C4×D83C2311yescharacteristic
80C22×C4×D83C2311yescharacteristic
81C22×C4×D83C2314yes—
82C2×#13050574—24no—
83C2×#13050574C2314yes—
84C22×C83⋊C8C2312yes—
85#14581776—28no—
86#14581772—22no—
87#14581772—22no—
88#14581772C2314yes—
89#14581772C2314yes—
90#14581767—22no—
91#14581767—22no—
92#14581767C2314yes—
93#14581767C2314yes—
94#14581762—28no—
95C4×D332—28no—
96C4×D332—28no—
97C2×C4⋊Dic83—21no—
98C2×C4⋊Dic83—21no—
99C2×C4⋊Dic83—21no—
100C2×C4⋊Dic83—22no—
101C2×C4⋊Dic83C2312yes—
102C2×C4⋊Dic83C2314yes—
103C2×Dic83⋊C4—22no—
104C2×Dic83⋊C4—22no—
105C2×Dic83⋊C4—28no—
106C4⋊C4×D83—24no—
107C4⋊C4×D83—24no—
108C4⋊C4×D83—28no—
109C4⋊C4×D83—28no—
110C4⋊C4×D83C2318yes—
111C4⋊C4×D83C2318yes—
112C2×(C2×D83)⋊C4—21no—
113C2×(C2×D83)⋊C4—21no—
114C2×(C2×D83)⋊C4—21no—
115C2×(C2×D83)⋊C4—21no—
116#14581725C2318yescomplemented
117#14581723C2318yescomplemented
118#14581717C2318yescomplemented
119#14581715C2318yescomplemented
120#14581714C2318yescomplemented
121#14581712C2318yescomplemented
122(C2×D83)⋊C8C2318yes—
123(C2×D83)⋊C8C2318yes—
124C23×C4×C83—21no—
125C23×C4×C83C2311yescharacteristic
126C2×M16×C83—24no—
127C2×M16×C83C2314yes—
128C22×C8×C83C2312yes—
129#117×C83—22no—
130#117×C83C2314yes—
131C2×C4⋊C4×C83—21no—
132C2×C4⋊C4×C83—22no—
133C2×C4⋊C4×C83C2312yes—
134C2×C4⋊C4×C83C2314yes—
135C2×C4⋊C4×C83C2311yescharacteristic
136C2×C4⋊C4×C83C2311yescharacteristic
137C2×C22⋊C4×C83—21no—
138C2×C42×C83—21no—
139#107×C83C2318yescomplemented
140#106×C83C2318yescomplemented
141C23×D83—24no—
142C23×D83—24no—
143C23×D83—24no—
144C23×D83—21no—
145C23×D83C2×D414yes—
146C23×D83C2×D411yescharacteristic
147C23×D83C2×D411yescharacteristic
148#13050590—28no—
149#13050590—28no—
150#13050590—48no—
151C2×Dic166—22no—
152C2×Dic166—22no—
153C2×Dic166—21no—
154C2×Dic166C2412yes—
155C2×D332—22no—
156C2×D332—22no—
157C2×D332—24no—
158C2×D332—24no—
159C2×D332—21no—
160C2×D332—44no—
161C2×D332—44no—
162C2×D332C2412yes—
163C2×C22⋊D83—24no—
164C2×C22⋊D83—44no—
165C22×Dic83—24no—
166C22×Dic83—24no—
167C22×Dic83—22no—
168C22×Dic83—21no—
169C22×Dic83—44no—
170C22×Dic83C2×D414yes—
171C22×Dic83C2×D411yescharacteristic
172C22×Dic83C2×D411yescharacteristic
173C2×C4×D83—24no—
174C2×C4×D83—24no—
175C2×C4×D83—216no—
176C2×C4×D83—22no—
177C2×C4×D83—22no—
178C2×C4×D83—28no—
179C2×C4×D83—22no—
180C2×C4×D83—22no—
181C2×C4×D83—28no—
182C2×C4×D83—28no—
183C2×C4×D83—28no—
184C2×C4×D83—24no—
185C2×C4×D83—48no—
186C2×C4×D83—432no—
187C2×C4×D83—48no—
188C2×C4×D83—44no—
189C2×C4×D83C2×D412yes—
190C2×C4×D83C2×D412yes—
191C2×C4×D83C2×D414yes—
192C2×C4×D83C2×D414yes—
193C2×C4×D83C2412yes—
194C2×C4×D83C2412yes—
195#13050574—28no—
196C2×C83⋊C8—24no—
197C2×C83⋊C8C2414yes—
198C4⋊Dic83—24no—
199C4⋊Dic83—22no—
200C4⋊Dic83—24no—
201C4⋊Dic83—24no—
202C4⋊Dic83C2414yes—
203Dic83⋊C4—28no—
204Dic83⋊C4—28no—
205(C2×D83)⋊C4—24no—
206(C2×D83)⋊C4—24no—
207(C2×D83)⋊C4—24no—
208(C2×D83)⋊C4—24no—
209C24×C83C2×D411yescharacteristic
210C22×C4×C83—24no—
211C22×C4×C83—22no—
212C22×C4×C83—21no—
213C22×C4×C83—21no—
214C22×C4×C83—44no—
215C22×C4×C83C2×D411yescharacteristic
216C22×C4×C83C2×D412yes—
217C22×C4×C83#4114yes—
218C22×C4×C83#4114yes—
219C22×C4×C83C2411yescharacteristic
220C22×C4×C83C2412yes—
221M16×C83—28no—
222C2×C8×C83—24no—
223C2×C8×C83C2414yes—
224C4⋊C4×C83—21no—
225C4⋊C4×C83—21no—
226C4⋊C4×C83—24no—
227C4⋊C4×C83—22no—
228C4⋊C4×C83C2412yes—
229C4⋊C4×C83C2412yes—
230C4⋊C4×C83C2414yes—
231C22⋊C4×C83—24no—
232C42×C83—24no—
233C23×C83—22no—
234C23×C83—22no—
235C23×C83#12314yes—
236C23×C83C22×D412yes—
237C23×C83C22×D411yescharacteristic
238C22×D83—232no—
239C22×D83—28no—
240C22×D83—22no—
241C22×D83—22no—
242C22×D83—22no—
243C22×D83—22no—
244C22×D83—28no—
245C22×D83—28no—
246C22×D83—22no—
247C22×D83—42no—
248C22×D83—42no—
249C22×D83—42no—
250C22×D83AGL(1,ℤ/8)14yes—
251C22×D83#13714yes—
252C22×D83C22×D412yes—
253C22×D83C22×D412yes—
254C2×C4×C83—22no—
255C2×C4×C83—22no—
256C2×C4×C83—24no—
257C2×C4×C83—48no—
258C2×C4×C83—44no—
259C2×C4×C83—42no—
260C2×C4×C83—42no—
261C2×C4×C83#12314yes—
262C2×C4×C83#12318yes—
263C2×C4×C83C22×D412yes—
264C2×C4×C83C22×D411yescharacteristic
265C2×C4×C83C2×#4112yes—
266C2×C4×C83C2×#4114yes—
267C2×C4×C83C2×#4112yes—
268C2×C4×C83C2×#4114yes—
269C2×C4×C83C2511yescharacteristic
270C22⋊D83—48no—
271C2×Dic83—28no—
272C2×Dic83—22no—
273C2×Dic83—22no—
274C2×Dic83—22no—
275C2×Dic83—24no—
276C2×Dic83—48no—
277C2×Dic83—42no—
278C2×Dic83—44no—
279C2×Dic83C22×D412yes—
280C2×Dic83C22×D412yes—
281D332—22no—
282D332—22no—
283D332—48no—
284D332—48no—
285D332—42no—
286C4×D83—24no—
287C4×D83—24no—
288C4×D83—28no—
289C4×D83—28no—
290C4×D83—22no—
291C4×D83—22no—
292C4×D83—22no—
293C4×D83—22no—
294C4×D83—416no—
295C4×D83—416no—
296C4×D83—48no—
297Dic166—22no—
298Dic166—22no—
299Dic166—42no—
300C8×C83—24no—
301C83⋊C8—24no—
302C22×C83—28no—
303C22×C83—22no—
304C22×C83—22no—
305C22×C83C2×#12314yes—
306C22×C83C2×#12312yes—
307C22×C83C2×AGL(1,ℤ/8)12yes—
308C22×C83C2×#13712yes—
309C22×C83C23×D411yescharacteristic
310C2×D83—232no—
311C2×D83—28no—
312C2×D83—28no—
313C2×D83—22no—
314C2×D83—22no—
315C2×D83—22no—
316C2×D83—22no—
317C2×D83—42no—
318C2×D83—42no—
319C2×D83—42no—
320C2×D83—84no—
321C2×D83C2×AGL(1,ℤ/8)14yes—
322C2×D83C2×#13714yes—
323C4×C83—44no—
324C4×C83—42no—
325C4×C83—42no—
326C4×C83C2×#12312yes—
327C4×C83C2×#12314yes—
328C4×C83C22×#4111yescharacteristic
329C4×C83C22×#4111yescharacteristic
330Dic83—22no—
331Dic83—22no—
332Dic83—42no—
333Dic83—44no—
334C2×#3092—831nomaximal, Sylow
335C2×C83—24no—
336C2×C83#309214yescomplemented
337C2×C83C22×#12311yescharacteristic
338C2×C83C22×AGL(1,ℤ/8)11yescharacteristic
339C2×C83C22×#13711yescharacteristic
340D83—24no—
341D83—24no—
342D83—82no—
343C2×#525—831no—
344C23×C4⋊C4—831no—
345#3092—8316no—
346C2×#484—832no—
347C2×#481—832no—
348C2×#483—832no—
349C2×#480—832no—
350C2×#428—831no—
351C2×#428D8311yescharacteristic, complemented
352C2×#417—831no—
353C2×#417—831no—
354C2×#407—831no—
355C83C2×#309211yescharacteristic, complemented, Sylow
356C22×#41—831no—
357C24×C4—831no—
358C24×C4—1661no—
359C22×M16—831no—
360C22×M16C2×D8311yescharacteristic
361#525—838no—
362#525—1664no—
363C2×#123—1661no—
364C2×C22⋊Q8—831no—
365C2×C22⋊Q8—831no—
366C2×#121—831no—
367C2×#121—831no—
368C2×#120—1661no—
369C2×C4×D4—1661no—
370C2×C4×D4—1661no—
371C2×#117C2×D8311yescharacteristic
372C22×C4⋊C4—831no—
373C22×C4⋊C4—832no—
374C22×C4⋊C4—832no—
375C22×C4⋊C4—838no—
376C22×C4⋊C4—1661no—
377C22×C4⋊C4—1661no—
378C22×C4⋊C4—1664no—
379C22×C4⋊C4—1661no—
380C22×C4⋊C4C2×D8311yescharacteristic
381#484—8316no—
382#483—8316no—
383#481—8316no—
384#480—8316no—
385#428—838no—
386#428C2×D8318yescomplemented
387C2×#107—832no—
388C2×#107C2×D8312yescomplemented
389C2×#106—832no—
390C2×#106C2×D8312yescomplemented
391#417—838no—
392#417—838no—
393C2×#103—832no—
394C2×#103—832no—
395C2×#102—832no—
396C2×#102—832no—
397#407—838no—
398C2×C22⋊C8—832no—
399C2×C22⋊C8—832no—
400C25—831no—
401C2×#41—834no—
402C2×#41—1664no—
403C2×#41—1664no—
404C2×#41—1662no—
405C22×Q8—831no—
406C22×D4—831no—
407C22×D4—1661no—
408C22×D4—1661no—
409C22×D4—1661no—
410C23×C4—21no—
411C23×C4—3328no—
412C23×C4—831no—
413C23×C4—831no—
414C23×C4—831no—
415C23×C4—834no—
416C23×C4—831no—
417C23×C4—831no—
418C23×C4—834no—
419C23×C4—1668no—
420C23×C4—1662no—
421C23×C4—1662no—
422C23×C4—1661no—
423C23×C4—1661no—
424C23×C4—1664no—
425C23×C4—1664no—
426C23×C4C22×D8311yescharacteristic
427C2×M16—24no—
428C2×M16—834no—
429C2×M16—1664no—
430C2×M16C22×D8314yes—
431C22×C8—832no—
432C22×C8C22×D8312yes—
433#123—1668no—
434C22⋊Q8—834no—
435C22⋊Q8—834no—
436C22⋊Q8—1662no—
437C22⋊Q8—1662no—
438#121—834no—
439#121—834no—
440#121—1662no—
441#121—1662no—
442#120—1668no—
443C4×D4—1668no—
444C4×D4—1668no—
445#117—22no—
446#117C22×D8314yes—
447C2×C4⋊C4—22no—
448C2×C4⋊C4—21no—
449C2×C4⋊C4—832no—
450C2×C4⋊C4—834no—
451C2×C4⋊C4—838no—
452C2×C4⋊C4—838no—
453C2×C4⋊C4—1668no—
454C2×C4⋊C4—1668no—
455C2×C4⋊C4—1664no—
456C2×C4⋊C4—1664no—
457C2×C4⋊C4—1668no—
458C2×C4⋊C4—1662no—
459C2×C4⋊C4—1662no—
460C2×C4⋊C4—1661no—
461C2×C4⋊C4—1661no—
462C2×C4⋊C4—1662no—
463C2×C4⋊C4—1661no—
464C2×C4⋊C4C22×D8312yes—
465C2×C4⋊C4C22×D8314yes—
466C2×C4⋊C4C22×D8311yescharacteristic
467C2×C4⋊C4C22×D8311yescharacteristic
468C2×C22⋊C4—21no—
469C2×C22⋊C4—1661no—
470C2×C22⋊C4—1661no—
471C2×C22⋊C4—1661no—
472C2×C22⋊C4—1661no—
473C2×C42—21no—
474#107—838no—
475#107C22×D8318yescomplemented
476#106—838no—
477#106C22×D8318yescomplemented
478#103—838no—
479#103—838no—
480#102—838no—
481#102—838no—
482C22⋊C8—838no—
483C22⋊C8—838no—
484C24—831no—
485C24—831no—
486C24—834no—
487C24—1664no—
488C24—1664no—
489C24—1661no—
490C24—1664no—
491C24D4×D8311yescharacteristic
492#41—3328no—
493#41—1668no—
494#41—1668no—
495C2×Q8—832no—
496C2×Q8—1662no—
497C2×Q8—1662no—
498C2×Q8—1661no—
499C2×D4—3324no—
500C2×D4—3324no—
501C2×D4—3324no—
502C2×D4—832no—
503C2×D4—1664no—
504C2×D4—1664no—
505C2×D4—1664no—
506C2×D4—1661no—
507C2×D4—1662no—
508C2×D4—1662no—
509C22×C4—24no—
510C22×C4—21no—
511C22×C4—21no—
512C22×C4—22no—
513C22×C4—44no—
514C22×C4—3328no—
515C22×C4—33232no—
516C22×C4—3328no—
517C22×C4—3324no—
518C22×C4—3324no—
519C22×C4—834no—
520C22×C4—831no—
521C22×C4—831no—
522C22×C4—834no—
523C22×C4—834no—
524C22×C4—832no—
525C22×C4—832no—
526C22×C4—832no—
527C22×C4—832no—
528C22×C4—1668no—
529C22×C4—1668no—
530C22×C4—1664no—
531C22×C4—1661no—
532C22×C4—1662no—
533C22×C4—1664no—
534C22×C4—1664no—
535C22×C4—1664no—
536C22×C4—1664no—
537C22×C4—16616no—
538C22×C4—1662no—
539C22×C4—1662no—
540C22×C4—1668no—
541C22×C4—1662no—
542C22×C4—1662no—
543C22×C4—1668no—
544C22×C4D4×D8312yes—
545C22×C4D4×D8311yescharacteristic
546C22×C4#1305059014yes—
547C22×C4#1305059114yes—
548C22×C4C23×D8312yes—
549C22×C4C23×D8311yescharacteristic
550M16—28no—
551M16—1668no—
552C2×C8—24no—
553C2×C8—834no—
554C2×C8—1664no—
555C2×C8C23×D8314yes—
556C4⋊C4—24no—
557C4⋊C4—22no—
558C4⋊C4—21no—
559C4⋊C4—21no—
560C4⋊C4—834no—
561C4⋊C4—1668no—
562C4⋊C4—1668no—
563C4⋊C4—1664no—
564C4⋊C4—1664no—
565C4⋊C4—1664no—
566C4⋊C4—1662no—
567C4⋊C4C23×D8314yes—
568C4⋊C4C23×D8312yes—
569C4⋊C4C23×D8312yes—
570C22⋊C4—24no—
571C22⋊C4—1664no—
572C22⋊C4—1664no—
573C22⋊C4—1664no—
574C22⋊C4—1664no—
575C42—24no—
576C23—22no—
577C23—22no—
578C23—3322no—
579C23—3322no—
580C23—3322no—
581C23—834no—
582C23—834no—
583C23—832no—
584C23—832no—
585C23—1668no—
586C23—1668no—
587C23—16632no—
588C23—1662no—
589C23—1668no—
590C23—1662no—
591C23—1662no—
592C23—1662no—
593C23—1662no—
594C23#1458177714yes—
595C23C2×D4×D8312yes—
596C23C2×D4×D8311yescharacteristic
597Q8—3322no—
598Q8—1662no—
599Q8—1662no—
600D4—3328no—
601D4—3328no—
602D4—3328no—
603D4—3322no—
604D4—1662no—
605D4—1662no—
606C2×C4—22no—
607C2×C4—22no—
608C2×C4—24no—
609C2×C4—48no—
610C2×C4—44no—
611C2×C4—42no—
612C2×C4—42no—
613C2×C4—33216no—
614C2×C4—33216no—
615C2×C4—3328no—
616C2×C4—3322no—
617C2×C4—3324no—
618C2×C4—3328no—
619C2×C4—832no—
620C2×C4—832no—
621C2×C4—1662no—
622C2×C4—1664no—
623C2×C4—1668no—
624C2×C4—1662no—
625C2×C4—1662no—
626C2×C4—1668no—
627C2×C4—1668no—
628C2×C4—1664no—
629C2×C4—1664no—
630C2×C4—1662no—
631C2×C4—1662no—
632C2×C4—1662no—
633C2×C4—1662no—
634C2×C4#1458177714yes—
635C2×C4#1458177718yes—
636C2×C4C2×D4×D8312yes—
637C2×C4C2×D4×D8311yescharacteristic
638C2×C4C2×#1305059012yes—
639C2×C4C2×#1305059014yes—
640C2×C4C2×#1305059112yes—
641C2×C4C2×#1305059114yes—
642C2×C4C24×D8311yescharacteristic
643C8—24no—
644C8—1664no—
645C22—22no—
646C22—22no—
647C22—28no—
648C22—3322no—
649C22—3322no—
650C22—3322no—
651C22—834no—
652C22—834no—
653C22—6644no—
654C22—16632no—
655C22—1662no—
656C22—1662no—
657C22—1662no—
658C22—1662no—
659C22—1668no—
660C22—1668no—
661C22C2×#1458177714yes—
662C22C2×#1458177712yes—
663C22AGL(1,ℤ/8)×D8312yes—
664C22#137×D8312yes—
665C22C22×D4×D8311yescharacteristic
666C4—44no—
667C4—42no—
668C4—42no—
669C4—3324no—
670C4—3322no—
671C4—1662no—
672C4—1662no—
673C4C2×#1458177714yes—
674C4C2×#1458177712yes—
675C4C22×#1305059011yescharacteristic
676C4C22×#1305059111yescharacteristic
677C2—24no—
678C2—6642no—
679C2—1664no—
680C2—1664no—
681C2#2491738914yesdirect product factor
682C2C22×#1458177711yescharacteristic
683C2C2×AGL(1,ℤ/8)×D8311yescharacteristic
684C2C2×#137×D8311yescharacteristic
subgroupG/H
centerC23C2×D4×D83
commutator, cosocleC2×C4×C83C25
FrattiniC2×C4C24×D83
FittingC2×#428×C83C2
socleC23×C83C22×D4
prime radicalC2×#19128213C2
hypercenterC2×#428D83
hypocenterC83C2×#3092
LCSG ▷ C2×C4×C83 ▷ C2×C83 ▷ C83
UCSC1 ◁ C23 ◁ C23×C4 ◁ C2×#428

Complements

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

NH ≅ G/Ntype
2. C22×C4⋊C4×D83C2semidirect
3. #24917389C2direct (N × H)
4. C2×#19128038C2semidirect
5. C2×#19128021C2semidirect
6. C2×#19128033C2semidirect
7. C2×#19128016C2semidirect
8. C2×#19127744C2semidirect
9. C2×#19127703C2semidirect
10. C2×#19127700C2semidirect
11. C2×#19127664C2semidirect
12. C2×#428×C83C2semidirect
34. C2×C4⋊C4×D83C22semidirect
35. #19128038C22semidirect
36. #19128033C22semidirect
37. #19128021C22semidirect
38. #19128016C22semidirect
39. #19127744C22semidirect
40. C2×#14581725C22semidirect
41. C2×#14581723C22semidirect
42. #19127703C22semidirect
43. #19127700C22semidirect
44. C2×#14581717C22semidirect
45. C2×#14581715C22semidirect
46. C2×#14581714C22semidirect
47. C2×#14581712C22semidirect
48. #19127664C22semidirect
54. #428×C83C22semidirect
55. C2×#107×C83C22semidirect
56. C2×#106×C83C22semidirect
116. #14581725C23semidirect
117. #14581723C23semidirect
118. #14581717C23semidirect
119. #14581715C23semidirect
120. #14581714C23semidirect
121. #14581712C23semidirect
139. #107×C83C23semidirect
140. #106×C83C23semidirect
336. C2×C83#3092semidirect
351. C2×#428D83semidirect
355. C83C2×#3092semidirect
386. #428C2×D83semidirect
388. C2×#107C2×D83semidirect
390. C2×#106C2×D83semidirect
475. #107C22×D83semidirect
477. #106C22×D83semidirect
681. C2#24917389direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#191282132
C22×C4⋊C4×D832
#249173892
C2×#191280382
C2×#191280212
C2×#191280332
C2×#191280162
C2×#191277442
C2×#191277032
C2×#191277002
C2×#191276642
C2×#428×C832
C2×#309283