Finite Group Databasebeta

← C2×#24917384 #36272180

Subgroups — C2×#24917384 #36272180

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×#19128208C211yesmaximal, characteristic
2C22×C4⋊C4×D83C211yesmaximal, characteristic, complemented
3#24917384C2116yesmaximal, direct product factor
4C2×#19128035C212yesmaximal, complemented
5C2×#19128018C212yesmaximal, complemented
6C2×#19128030C212yesmaximal, complemented
7C2×#19128013C212yesmaximal, complemented
8C2×#19127743C211yesmaximal, characteristic, complemented
9C2×#19127741C211yesmaximal, characteristic, complemented
10C2×#19127702C211yesmaximal, characteristic, complemented
11C2×#19127664C211yesmaximal, characteristic, complemented
12C2×#417×C83C211yesmaximal, characteristic, complemented
13C23×C4×D83—21no—
14C23×C4×D83C2211yescharacteristic
15C22×#13050574C2211yescharacteristic
16#19128208—24no—
17#19128208C2218yes—
18C2×#14581773—21no—
19C2×#14581768C2211yescharacteristic
20C2×#14581768C2211yescharacteristic
21C2×#14581763C2211yescharacteristic
22C2×#14581763C2211yescharacteristic
23C2×#14581760—21no—
24C2×C4×C22⋊D83—21no—
25C2×C4×C22⋊D83—21no—
26C2×#14581751C2211yescharacteristic
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#19128035C22116yescomplemented
36#19128030C22116yescomplemented
37#19128018C22116yescomplemented
38#19128013C22116yescomplemented
39#19127743C2218yescomplemented
40#19127741C2218yescomplemented
41C2×#14581726C2212yescomplemented
42C2×#14581725C2212yescomplemented
43C2×#14581724C2212yescomplemented
44C2×#14581723C2212yescomplemented
45#19127702C2218yescomplemented
46C2×#14581716C2212yescomplemented
47C2×#14581713C2212yescomplemented
48#19127664C2218yescomplemented
49C2×(C2×D83)⋊C8C2212yes—
50C2×(C2×D83)⋊C8C2212yes—
51C22×#41×C83C2211yescharacteristic
52C22×M16×C83C2211yescharacteristic
53C22×C4⋊C4×C83C2211yescharacteristic
54#417×C83C2218yescomplemented
55C2×#103×C83C2212yescomplemented
56C2×#102×C83C2212yescomplemented
57C24×D83D411yescharacteristic
58C22×C22⋊D83—21no—
59C22×C22⋊D83—21no—
60C23×Dic83—21no—
61C23×Dic83D411yescharacteristic
62C22×C4×D83—22no—
63C22×C4×D83—22no—
64C22×C4×D83—28no—
65C22×C4×D83—24no—
66C22×C4×D83—24no—
67C22×C4×D83—48no—
68C22×C4×D83D411yescharacteristic
69C22×C4×D83D411yescharacteristic
70C22×C4×D83D414yes—
71C22×C4×D83C2311yescharacteristic
72C22×C4×D83C2311yescharacteristic
73C22×C4×D83C2314yes—
74C2×#13050574—24no—
75C2×#13050574C2314yes—
76C22×C83⋊C8C2312yes—
77#14581773—28no—
78#14581768—22no—
79#14581768—22no—
80#14581768C2314yes—
81#14581768C2314yes—
82#14581763—22no—
83#14581763—22no—
84#14581763C2314yes—
85#14581763C2314yes—
86#14581760—28no—
87C4×C22⋊D83—28no—
88C4×C22⋊D83—28no—
89#14581751—22no—
90#14581751C2314yes—
91C2×C4⋊Dic83—21no—
92C2×C4⋊Dic83—22no—
93C2×C4⋊Dic83C2312yes—
94C2×C4⋊Dic83C2314yes—
95C2×C4⋊Dic83C2311yescharacteristic
96C2×C4⋊Dic83C2311yescharacteristic
97C2×Dic83⋊C4—22no—
98C2×Dic83⋊C4—22no—
99C2×Dic83⋊C4—28no—
100C2×Dic83⋊C4—21no—
101C2×Dic83⋊C4—21no—
102C4⋊C4×D83—24no—
103C4⋊C4×D83—24no—
104C4⋊C4×D83—28no—
105C4⋊C4×D83—28no—
106C4⋊C4×D83C2318yes—
107C4⋊C4×D83C2318yes—
108C2×C22⋊Dic83—21no—
109C2×C22⋊Dic83—21no—
110C2×C22⋊Dic83—21no—
111C2×(C2×D83)⋊C4—21no—
112C2×(C2×D83)⋊C4—21no—
113C2×C4×Dic83—21no—
114#14581726C2318yescomplemented
115#14581725C2318yescomplemented
116#14581724C2318yescomplemented
117#14581723C2318yescomplemented
118#14581716C2318yescomplemented
119#14581713C2318yescomplemented
120(C2×D83)⋊C8C2318yes—
121(C2×D83)⋊C8C2318yes—
122C2×#41×C83—22no—
123C2×#41×C83—24no—
124C2×#41×C83—24no—
125C2×#41×C83C2314yes—
126C22×Q8×C83C2311yescharacteristic
127C22×D4×C83—21no—
128C22×D4×C83C2311yescharacteristic
129C23×C4×C83—21no—
130C23×C4×C83—21no—
131C23×C4×C83C2311yescharacteristic
132C2×M16×C83—24no—
133C2×M16×C83C2314yes—
134C22×C8×C83C2312yes—
135C2×C4⋊C4×C83—21no—
136C2×C4⋊C4×C83—22no—
137C2×C4⋊C4×C83C2312yes—
138C2×C4⋊C4×C83C2314yes—
139#103×C83C2318yescomplemented
140#102×C83C2318yescomplemented
141C23×D83—24no—
142C23×D83—24no—
143C23×D83—24no—
144C23×D83C2×D414yes—
145C23×D83C2×D411yescharacteristic
146C23×D83C2×D411yescharacteristic
147C2×C22⋊D83—24no—
148C2×C22⋊D83—24no—
149C2×C22⋊D83—44no—
150C2×C22⋊D83—44no—
151C22×Dic83—24no—
152C22×Dic83—24no—
153C22×Dic83—22no—
154C22×Dic83—21no—
155C22×Dic83—21no—
156C22×Dic83—44no—
157C22×Dic83C2×D414yes—
158C22×Dic83C2×D411yescharacteristic
159C22×Dic83C2×D411yescharacteristic
160C2×C4×D83—24no—
161C2×C4×D83—24no—
162C2×C4×D83—216no—
163C2×C4×D83—22no—
164C2×C4×D83—22no—
165C2×C4×D83—28no—
166C2×C4×D83—22no—
167C2×C4×D83—22no—
168C2×C4×D83—28no—
169C2×C4×D83—28no—
170C2×C4×D83—28no—
171C2×C4×D83—48no—
172C2×C4×D83—432no—
173C2×C4×D83—48no—
174C2×C4×D83C2×D412yes—
175C2×C4×D83C2×D412yes—
176C2×C4×D83C2×D414yes—
177C2×C4×D83C2×D414yes—
178C2×C4×D83C2412yes—
179C2×C4×D83C2412yes—
180#13050574—28no—
181C2×C83⋊C8—24no—
182C2×C83⋊C8C2414yes—
183C4⋊Dic83—21no—
184C4⋊Dic83—21no—
185C4⋊Dic83—24no—
186C4⋊Dic83—22no—
187C4⋊Dic83C2412yes—
188C4⋊Dic83C2412yes—
189C4⋊Dic83C2414yes—
190Dic83⋊C4—24no—
191Dic83⋊C4—24no—
192Dic83⋊C4—28no—
193Dic83⋊C4—28no—
194C22⋊Dic83—24no—
195C22⋊Dic83—24no—
196C22⋊Dic83—24no—
197(C2×D83)⋊C4—24no—
198(C2×D83)⋊C4—24no—
199C4×Dic83—24no—
200C24×C83—21no—
201C24×C83C2×D411yescharacteristic
202#41×C83—28no—
203#41×C83—28no—
204#41×C83—48no—
205C2×Q8×C83—21no—
206C2×Q8×C83—22no—
207C2×Q8×C83—22no—
208C2×Q8×C83C2412yes—
209C2×D4×C83—24no—
210C2×D4×C83—21no—
211C2×D4×C83—22no—
212C2×D4×C83—22no—
213C2×D4×C83—44no—
214C2×D4×C83C2412yes—
215C22×C4×C83—24no—
216C22×C4×C83—22no—
217C22×C4×C83—21no—
218C22×C4×C83—24no—
219C22×C4×C83—44no—
220C22×C4×C83—44no—
221C22×C4×C83C2×D411yescharacteristic
222C22×C4×C83C2×D412yes—
223C22×C4×C83#4114yes—
224C22×C4×C83#4114yes—
225C22×C4×C83C2411yescharacteristic
226C22×C4×C83C2412yes—
227M16×C83—28no—
228C2×C8×C83—24no—
229C2×C8×C83C2414yes—
230C4⋊C4×C83—24no—
231C4⋊C4×C83—22no—
232C4⋊C4×C83C2414yes—
233C23×C83—22no—
234C23×C83—22no—
235C23×C83—22no—
236C23×C83—42no—
237C23×C83—42no—
238C23×C83—42no—
239C23×C83#12314yes—
240C23×C83C22×D412yes—
241C23×C83C22×D411yescharacteristic
242C22×D83—232no—
243C22×D83—28no—
244C22×D83—22no—
245C22×D83—22no—
246C22×D83—22no—
247C22×D83—22no—
248C22×D83—28no—
249C22×D83—28no—
250C22×D83AGL(1,ℤ/8)14yes—
251C22×D83#13714yes—
252C22×D83C22×D412yes—
253C22×D83C22×D412yes—
254Q8×C83—22no—
255Q8×C83—22no—
256Q8×C83—42no—
257D4×C83—22no—
258D4×C83—22no—
259D4×C83—48no—
260D4×C83—42no—
261C2×C4×C83—24no—
262C2×C4×C83—22no—
263C2×C4×C83—48no—
264C2×C4×C83—42no—
265C2×C4×C83—44no—
266C2×C4×C83—48no—
267C2×C4×C83#12314yes—
268C2×C4×C83#12318yes—
269C2×C4×C83C22×D412yes—
270C2×C4×C83C22×D411yescharacteristic
271C2×C4×C83C2×#4112yes—
272C2×C4×C83C2×#4114yes—
273C2×C4×C83C2×#4112yes—
274C2×C4×C83C2×#4114yes—
275C2×C4×C83C2511yescharacteristic
276C22⋊D83—48no—
277C22⋊D83—48no—
278C2×Dic83—28no—
279C2×Dic83—22no—
280C2×Dic83—22no—
281C2×Dic83—22no—
282C2×Dic83—22no—
283C2×Dic83—24no—
284C2×Dic83—48no—
285C2×Dic83—44no—
286C2×Dic83—42no—
287C2×Dic83—42no—
288C2×Dic83C22×D412yes—
289C2×Dic83C22×D412yes—
290C4×D83—28no—
291C4×D83—28no—
292C4×D83—24no—
293C4×D83—24no—
294C4×D83—22no—
295C4×D83—22no—
296C4×D83—22no—
297C4×D83—22no—
298C4×D83—416no—
299C4×D83—416no—
300C8×C83—24no—
301C83⋊C8—24no—
302C22×C83—28no—
303C22×C83—22no—
304C22×C83—22no—
305C22×C83—42no—
306C22×C83—42no—
307C22×C83—42no—
308C22×C83—84no—
309C22×C83C2×#12314yes—
310C22×C83C2×#12312yes—
311C22×C83C2×AGL(1,ℤ/8)12yes—
312C22×C83C2×#13712yes—
313C22×C83C23×D411yescharacteristic
314C2×D83—232no—
315C2×D83—28no—
316C2×D83—28no—
317C2×D83—22no—
318C2×D83—22no—
319C2×D83—22no—
320C2×D83—22no—
321C2×D83C2×AGL(1,ℤ/8)14yes—
322C2×D83C2×#13714yes—
323C4×C83—42no—
324C4×C83—44no—
325C4×C83C2×#12314yes—
326C4×C83C2×#12312yes—
327C4×C83C22×#4111yescharacteristic
328C4×C83C22×#4111yescharacteristic
329Dic83—22no—
330Dic83—22no—
331Dic83—44no—
332Dic83—42no—
333Dic83—42no—
334C2×#3092—831nomaximal, Sylow
335C2×C83—24no—
336C2×C83—82no—
337C2×C83#309214yescomplemented
338C2×C83C22×#12311yescharacteristic
339C2×C83C22×AGL(1,ℤ/8)11yescharacteristic
340C2×C83C22×#13711yescharacteristic
341D83—24no—
342D83—24no—
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×#428—831no—
352C2×#417—831no—
353C2×#417D8311yescharacteristic, complemented
354C2×#407—831no—
355C83C2×#309211yescharacteristic, complemented, Sylow
356C22×#41C2×D8311yescharacteristic
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×#117—831no—
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#428—838no—
387C2×#107—832no—
388C2×#107—832no—
389C2×#106—832no—
390C2×#106—832no—
391#417—838no—
392#417C2×D8318yescomplemented
393C2×#103—832no—
394C2×#103C2×D8312yescomplemented
395C2×#102—832no—
396C2×#102C2×D8312yescomplemented
397#407—838no—
398C2×C22⋊C8—832no—
399C2×C22⋊C8—832no—
400C25—831no—
401C2×#41—22no—
402C2×#41—24no—
403C2×#41—24no—
404C2×#41C22×D8314yes—
405C22×Q8C22×D8311yescharacteristic
406C22×D4—21no—
407C22×D4—1661no—
408C22×D4—1661no—
409C22×D4C22×D8311yescharacteristic
410C23×C4—21no—
411C23×C4—21no—
412C23×C4—3328no—
413C23×C4—831no—
414C23×C4—831no—
415C23×C4—831no—
416C23×C4—834no—
417C23×C4—831no—
418C23×C4—831no—
419C23×C4—834no—
420C23×C4—1668no—
421C23×C4—1662no—
422C23×C4—1662no—
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—834no—
446#117—1662no—
447C2×C4⋊C4—22no—
448C2×C4⋊C4—21no—
449C2×C4⋊C4—832no—
450C2×C4⋊C4—834no—
451C2×C4⋊C4—831no—
452C2×C4⋊C4—831no—
453C2×C4⋊C4—838no—
454C2×C4⋊C4—838no—
455C2×C4⋊C4—1668no—
456C2×C4⋊C4—1668no—
457C2×C4⋊C4—1664no—
458C2×C4⋊C4—1664no—
459C2×C4⋊C4—1668no—
460C2×C4⋊C4—1662no—
461C2×C4⋊C4—1662no—
462C2×C4⋊C4—1661no—
463C2×C4⋊C4—1661no—
464C2×C4⋊C4—1662no—
465C2×C4⋊C4—1661no—
466C2×C4⋊C4C22×D8312yes—
467C2×C4⋊C4C22×D8314yes—
468C2×C22⋊C4—1661no—
469C2×C22⋊C4—1661no—
470C2×C22⋊C4—1661no—
471C2×C22⋊C4—1661no—
472C2×C22⋊C4—1661no—
473C2×C42—1661no—
474#107—838no—
475#107—838no—
476#106—838no—
477#106—838no—
478#103—838no—
479#103C22×D8318yescomplemented
480#102—838no—
481#102C22×D8318yescomplemented
482C22⋊C8—838no—
483C22⋊C8—838no—
484C24—21no—
485C24—831no—
486C24—831no—
487C24—834no—
488C24—1664no—
489C24—1664no—
490C24—1664no—
491C24D4×D8311yescharacteristic
492#41—28no—
493#41—28no—
494#41—48no—
495C2×Q8—21no—
496C2×Q8—22no—
497C2×Q8—22no—
498C2×Q8C23×D8312yes—
499C2×D4—24no—
500C2×D4—21no—
501C2×D4—22no—
502C2×D4—22no—
503C2×D4—44no—
504C2×D4—3324no—
505C2×D4—3324no—
506C2×D4—1664no—
507C2×D4—1664no—
508C2×D4C23×D8312yes—
509C22×C4—24no—
510C22×C4—21no—
511C22×C4—22no—
512C22×C4—24no—
513C22×C4—44no—
514C22×C4—44no—
515C22×C4—3328no—
516C22×C4—33232no—
517C22×C4—3328no—
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—1661no—
533C22×C4—1662no—
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#1305058914yes—
547C22×C4#1305059014yes—
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—834no—
559C4⋊C4—832no—
560C4⋊C4—832no—
561C4⋊C4—1668no—
562C4⋊C4—1668no—
563C4⋊C4—1664no—
564C4⋊C4—1664no—
565C4⋊C4—1664no—
566C4⋊C4—1662no—
567C4⋊C4—1661no—
568C4⋊C4—1661no—
569C4⋊C4C23×D8314yes—
570C22⋊C4—1664no—
571C22⋊C4—1664no—
572C22⋊C4—1664no—
573C22⋊C4—1664no—
574C22⋊C4—1664no—
575C42—1664no—
576C23—22no—
577C23—22no—
578C23—22no—
579C23—42no—
580C23—42no—
581C23—42no—
582C23—834no—
583C23—834no—
584C23—832no—
585C23—832no—
586C23—1668no—
587C23—1668no—
588C23—16632no—
589C23—1668no—
590C23—1662no—
591C23—1662no—
592C23—1662no—
593C23—1662no—
594C23#1458177414yes—
595C23C2×D4×D8312yes—
596C23C2×D4×D8311yescharacteristic
597Q8—22no—
598Q8—22no—
599Q8—42no—
600D4—22no—
601D4—22no—
602D4—48no—
603D4—42no—
604D4—3328no—
605D4—3328no—
606C2×C4—22no—
607C2×C4—24no—
608C2×C4—48no—
609C2×C4—42no—
610C2×C4—44no—
611C2×C4—48no—
612C2×C4—33216no—
613C2×C4—33216no—
614C2×C4—3328no—
615C2×C4—3324no—
616C2×C4—3322no—
617C2×C4—3322no—
618C2×C4—832no—
619C2×C4—832no—
620C2×C4—1662no—
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#1458177414yes—
635C2×C4#1458177418yes—
636C2×C4C2×D4×D8312yes—
637C2×C4C2×D4×D8311yescharacteristic
638C2×C4C2×#1305058912yes—
639C2×C4C2×#1305058914yes—
640C2×C4C2×#1305059012yes—
641C2×C4C2×#1305059014yes—
642C2×C4C24×D8311yescharacteristic
643C8—24no—
644C8—1664no—
645C22—22no—
646C22—22no—
647C22—28no—
648C22—42no—
649C22—42no—
650C22—42no—
651C22—84no—
652C22—834no—
653C22—834no—
654C22—16632no—
655C22—1662no—
656C22—1662no—
657C22—1662no—
658C22—1662no—
659C22—1668no—
660C22—1668no—
661C22C2×#1458177414yes—
662C22C2×#1458177412yes—
663C22AGL(1,ℤ/8)×D8312yes—
664C22#137×D8312yes—
665C22C22×D4×D8311yescharacteristic
666C4—44no—
667C4—42no—
668C4—3324no—
669C4—3322no—
670C4—3322no—
671C4—1662no—
672C4—1662no—
673C4C2×#1458177414yes—
674C4C2×#1458177412yes—
675C4C22×#1305058911yescharacteristic
676C4C22×#1305059011yescharacteristic
677C2—24no—
678C2—82no—
679C2—1664no—
680C2—1664no—
681C2#2491738414yesdirect product factor
682C2C22×#1458177411yescharacteristic
683C2C2×AGL(1,ℤ/8)×D8311yescharacteristic
684C2C2×#137×D8311yescharacteristic
subgroupG/H
centerC23C2×D4×D83
commutator, cosocleC2×C4×C83C25
FrattiniC2×C4C24×D83
FittingC2×#417×C83C2
socleC23×C83C22×D4
prime radicalC2×#19128208C2
hypercenterC2×#417D83
hypocenterC83C2×#3092
LCSG ▷ C2×C4×C83 ▷ C2×C83 ▷ C83
UCSC1 ◁ C23 ◁ C23×C4 ◁ C2×#417

Complements

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

NH ≅ G/Ntype
2. C22×C4⋊C4×D83C2semidirect
3. #24917384C2direct (N × H)
4. C2×#19128035C2semidirect
5. C2×#19128018C2semidirect
6. C2×#19128030C2semidirect
7. C2×#19128013C2semidirect
8. C2×#19127743C2semidirect
9. C2×#19127741C2semidirect
10. C2×#19127702C2semidirect
11. C2×#19127664C2semidirect
12. C2×#417×C83C2semidirect
34. C2×C4⋊C4×D83C22semidirect
35. #19128035C22semidirect
36. #19128030C22semidirect
37. #19128018C22semidirect
38. #19128013C22semidirect
39. #19127743C22semidirect
40. #19127741C22semidirect
41. C2×#14581726C22semidirect
42. C2×#14581725C22semidirect
43. C2×#14581724C22semidirect
44. C2×#14581723C22semidirect
45. #19127702C22semidirect
46. C2×#14581716C22semidirect
47. C2×#14581713C22semidirect
48. #19127664C22semidirect
54. #417×C83C22semidirect
55. C2×#103×C83C22semidirect
56. C2×#102×C83C22semidirect
114. #14581726C23semidirect
115. #14581725C23semidirect
116. #14581724C23semidirect
117. #14581723C23semidirect
118. #14581716C23semidirect
119. #14581713C23semidirect
139. #103×C83C23semidirect
140. #102×C83C23semidirect
337. C2×C83#3092semidirect
353. C2×#417D83semidirect
355. C83C2×#3092semidirect
392. #417C2×D83semidirect
394. C2×#103C2×D83semidirect
396. C2×#102C2×D83semidirect
479. #103C22×D83semidirect
481. #102C22×D83semidirect
681. C2#24917384direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#191282082
C22×C4⋊C4×D832
#249173842
C2×#191280352
C2×#191280182
C2×#191280302
C2×#191280132
C2×#191277432
C2×#191277412
C2×#191277022
C2×#191276642
C2×#417×C832
C2×#309283