Finite Group Databasebeta

← C2×#19825 #6358169

Subgroups — C2×#19825 #6358169

Order 512.

1833 conjugacy classes of subgroups.

The subgroup lattice has 750 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3394C211yesmaximal, characteristic, complemented
2C2×#3361C211yesmaximal, characteristic, complemented
3C2×#3324C211yesmaximal, characteristic, complemented
4C2×#3295C211yesmaximal, characteristic, complemented
5#19825C2116yesmaximal, direct product factor
6C2×#1717C211yesmaximal, characteristic, complemented
7C2×#1697C211yesmaximal, characteristic, complemented
8C2×#1682C211yesmaximal, characteristic, complemented
9C2×#1678C211yesmaximal, characteristic, complemented
10C2×#1665C211yesmaximal, characteristic, complemented
11C2×#1638C211yesmaximal, characteristic, complemented
12C2×#1644C211yesmaximal, characteristic, complemented
13C2×#1620C211yesmaximal, characteristic, complemented
14C2×#1619C211yesmaximal, characteristic
15C2×#1583C211yesmaximal, characteristic, complemented
16C2×SD16⋊C8C211yesmaximal, characteristic, complemented
17C2×#559C2211yescharacteristic, complemented
18C2×#556C2211yescharacteristic
19C2×#554C2211yescharacteristic
20C2×D42C2211yescharacteristic
21#3394—24no—
22#3394C2218yescomplemented
23#3361—24no—
24#3361C2218yescomplemented
25#3324—24no—
26#3324C2218yescomplemented
27#3295—24no—
28#3295C2218yescomplemented
29C2×#495—21no—
30C2×#493C2211yescharacteristic
31C2×#492C2211yescharacteristic, complemented
32C2×#488—21no—
33C2×#487C2211yescharacteristic, complemented
34C2×#486C2211yescharacteristic
35C2×#486C2211yescharacteristic
36C2×#486C2211yescharacteristic, complemented
37C2×#481—21no—
38C2×#482—21no—
39C2×#477C2211yescharacteristic, complemented
40C2×#478—21no—
41C2×#476C2211yescharacteristic
42C2×#474C2211yescharacteristic
43C2×#468—21no—
44C2×#465—21no—
45C2×#464—21no—
46C2×#462C2211yescharacteristic, complemented
47C2×#460C2211yescharacteristic
48C2×#460C2211yescharacteristic
49C2×#463—21no—
50C2×#463—21no—
51C2×#459C2211yescharacteristic
52C2×#459C2211yescharacteristic
53C2×#450—21no—
54C2×#450—21no—
55C2×C8×Q8C2211yescharacteristic, complemented
56C2×C8×Q8C2211yescharacteristic, complemented
57C2×C4×SD16—21no—
58C2×C4×SD16C2211yescharacteristic
59C2×C4×SD16C2211yescharacteristic
60C2×C4×D8—21no—
61C2×#436C2211yescharacteristic
62C2×C8×D4C2211yescharacteristic
63C2×#418—21no—
64C22×#102—21no—
65#1717C2218yescomplemented
66#1697C2218yescomplemented
67#1682C2218yescomplemented
68#1678C2218yescomplemented
69#1665C2218yescomplemented
70#1644C2218yescomplemented
71#1638C2218yescomplemented
72#1620C2218yescomplemented
73#1619C2218yes—
74#1583C2218yescomplemented
75SD16⋊C8C2218yescomplemented
76C2×#335C2211yescharacteristic, complemented
77C2×#334C2211yescharacteristic, complemented
78C2×#333C2211yescharacteristic, complemented
79C2×#332C2211yescharacteristic, complemented
80C2×#331C2211yescharacteristic
81C2×#331C2211yescharacteristic, complemented
82C2×Q8⋊C8C2211yescharacteristic, complemented
83C2×Q8⋊C8C2211yescharacteristic, complemented
84C2×D4⋊C8C2211yescharacteristic
85C2×D4⋊C8C2211yescharacteristic
86C2×#322C2211yescharacteristic, complemented
87C23×D4—21no—
88C23×D4—21no—
89C22×Q16—21no—
90C22×SD16—21no—
91C22×SD16—21no—
92C22×SD16—21no—
93C22×SD16—21no—
94C22×SD16D411yescharacteristic
95C22×SD16D411yescharacteristic
96C22×D8—21no—
97C22×D8—21no—
98C22×D8—41no—
99C22×M16—21no—
100C23×C8—21no—
101#559—22no—
102#559—22no—
103#559—41no—
104#559C2314yescomplemented
105#556—22no—
106#556—22no—
107#556—41no—
108#556C2314yes—
109#554—22no—
110#554—22no—
111#554—41no—
112#554C2314yes—
113D42—22no—
114D42—22no—
115D42—41no—
116D42C2314yes—
117C2×C4⋊Q8C2311yescharacteristic
118C2×C4⋊Q8C2311yescharacteristic
119C2×#127C2311yescharacteristic
120C2×#127C2311yescharacteristic
121C2×#126—41no—
122C2×#125—21no—
123C2×#124—21no—
124C2×#124—21no—
125C2×#124—21no—
126C2×#123—41no—
127C2×C22⋊Q8—21no—
128C2×C22⋊Q8—21no—
129C2×C22⋊Q8—41no—
130C2×#121—21no—
131C2×#121—21no—
132C2×#120—41no—
133C2×C4×Q8—21no—
134C2×C4×Q8C2311yescharacteristic
135C2×C4×Q8C2311yescharacteristic
136C2×C4×D4—21no—
137C2×C4×D4—21no—
138C2×C4×D4—21no—
139C2×C4×D4C2311yescharacteristic
140C2×C4×D4C2311yescharacteristic
141C2×#117—21no—
142C22×C4⋊C4—21no—
143#495—28no—
144#493—41no—
145#493C2314yes—
146#492—22no—
147#492C2314yescomplemented
148#488—28no—
149#487—41no—
150#487C2314yescomplemented
151#486—22no—
152#486—22no—
153#486—22no—
154#486C2314yes—
155#486C2314yes—
156#486C2314yescomplemented
157#482—28no—
158#481—28no—
159#478—28no—
160#477—22no—
161#477C2314yescomplemented
162#476—22no—
163#476C2314yes—
164#474—22no—
165#474C2314yes—
166#468—28no—
167#465—28no—
168#464—28no—
169#463—28no—
170#463—28no—
171#462—22no—
172#462C2314yescomplemented
173#460—22no—
174#460—22no—
175#460C2314yes—
176#460C2314yes—
177#459—22no—
178#459—22no—
179#459C2314yes—
180#459C2314yes—
181#450—28no—
182#450—28no—
183C8×Q8—22no—
184C8×Q8—22no—
185C8×Q8C2314yescomplemented
186C8×Q8C2314yescomplemented
187C4×SD16—28no—
188C4×SD16D414yes—
189C4×SD16D414yes—
190C4×SD16C2314yes—
191C4×SD16C2314yes—
192C4×D8—28no—
193#436—22no—
194#436C2314yes—
195C8×D4—22no—
196C8×D4C2314yes—
197C2×#107—21no—
198C2×#107—21no—
199C2×#106—21no—
200C2×#106D411yescharacteristic
201C2×#106D411yescharacteristic
202C2×C4⋊C8—21no—
203C2×C4⋊C8—21no—
204C2×C4⋊C8C2311yescharacteristic
205C2×C4⋊C8C2311yescharacteristic
206C2×C4⋊C8C2311yescharacteristic
207C2×C4⋊C8C2311yescharacteristic
208#418—28no—
209C2×#103—21no—
210C2×#103—21no—
211C2×#103—41no—
212C2×#103D411yescharacteristic
213C2×#103D411yescharacteristic
214C2×#102—21no—
215C2×#102—21no—
216C2×#102—21no—
217C2×#102—21no—
218C2×#102—21no—
219C2×#102—21no—
220C2×#102—21no—
221C2×#102—21no—
222C2×#102—21no—
223C2×#102—21no—
224C2×#102—21no—
225C2×#102—21no—
226C2×#102—28no—
227C2×#102D411yescharacteristic
228C2×#102D411yescharacteristic
229C2×C22⋊C8—21no—
230C2×C22⋊C8—21no—
231C2×C4×C8—21no—
232C2×C4×C8—21no—
233C2×C4×C8C2311yescharacteristic
234C2×C4×C8C2311yescharacteristic
235C2×C4×C8C2311yescharacteristic
236#335C2314yescomplemented
237#334C2314yescomplemented
238#333C2314yescomplemented
239#332C2314yescomplemented
240#331C2314yes—
241#331C2314yescomplemented
242Q8⋊C8C2314yescomplemented
243Q8⋊C8C2314yescomplemented
244D4⋊C8C2314yes—
245D4⋊C8C2314yes—
246#322C2314yescomplemented
247C25—41no—
248C22×Q8—21no—
249C22×Q8—21no—
250C22×Q8C2×D411yescharacteristic
251C22×Q8C2×D411yescharacteristic
252C22×D4—24no—
253C22×D4—24no—
254C22×D4—21no—
255C22×D4—21no—
256C22×D4—21no—
257C22×D4—21no—
258C22×D4—21no—
259C22×D4—21no—
260C22×D4—42no—
261C22×D4—42no—
262C22×D4—41no—
263C22×D4—41no—
264C22×D4—44no—
265C22×D4—44no—
266C22×D4—82no—
267C22×D4—82no—
268C22×D4C2×D411yescharacteristic
269C22×D4C2×D411yescharacteristic
270C23×C4—21no—
271C23×C4—21no—
272C23×C4—41no—
273C23×C4—41no—
274C2×Q16—24no—
275C2×Q16—82no—
276C2×SD16—24no—
277C2×SD16—24no—
278C2×SD16—24no—
279C2×SD16—24no—
280C2×SD16—24no—
281C2×SD16—42no—
282C2×SD16—44no—
283C2×SD16—82no—
284C2×SD16—82no—
285C2×SD16—82no—
286C2×SD16C2×D414yes—
287C2×SD16C2×D414yes—
288C2×D8—24no—
289C2×D8—24no—
290C2×D8—44no—
291C2×D8—44no—
292C2×D8—82no—
293C2×D8—84no—
294C2×M16—24no—
295C2×M16—82no—
296C22×C8—21no—
297C22×C8—21no—
298C22×C8—21no—
299C22×C8—21no—
300C22×C8—21no—
301C22×C8—24no—
302C22×C8—82no—
303C22×C8C2×D411yescharacteristic
304C22×C8C2×D411yescharacteristic
305C22×C8C2×D411yescharacteristic
306C22×C8C2×D411yescharacteristic
307C4⋊Q8—21no—
308C4⋊Q8—21no—
309C4⋊Q8—21no—
310C4⋊Q8—21no—
311C4⋊Q8—21no—
312C4⋊Q8—21no—
313C4⋊Q8C2412yes—
314C4⋊Q8C2412yes—
315#127—21no—
316#127—21no—
317#127—21no—
318#127—21no—
319#127—21no—
320#127—21no—
321#127C2412yes—
322#127C2412yes—
323#126—44no—
324#126—44no—
325#125—24no—
326#125—42no—
327#124—24no—
328#124—24no—
329#124—24no—
330#124—42no—
331#124—42no—
332#124—42no—
333#123—44no—
334#123—44no—
335C22⋊Q8—24no—
336C22⋊Q8—24no—
337C22⋊Q8—44no—
338C22⋊Q8—44no—
339C22⋊Q8—42no—
340C22⋊Q8—42no—
341#121—24no—
342#121—24no—
343#121—42no—
344#121—42no—
345#120—44no—
346#120—44no—
347C4×Q8—21no—
348C4×Q8—21no—
349C4×Q8—21no—
350C4×Q8—21no—
351C4×Q8—24no—
352C4×Q8—42no—
353C4×Q8C2×D412yes—
354C4×Q8C2×D412yes—
355C4×Q8C2412yes—
356C4×Q8C2412yes—
357C4×D4—24no—
358C4×D4—24no—
359C4×D4—24no—
360C4×D4—21no—
361C4×D4—21no—
362C4×D4—21no—
363C4×D4—21no—
364C4×D4—42no—
365C4×D4—42no—
366C4×D4—42no—
367C4×D4C2×D412yes—
368C4×D4C2×D412yes—
369C4×D4C2412yes—
370C4×D4C2412yes—
371#117—24no—
372#117—42no—
373C2×C4⋊C4—21no—
374C2×C4⋊C4—21no—
375C2×C4⋊C4—21no—
376C2×C4⋊C4—21no—
377C2×C4⋊C4—21no—
378C2×C4⋊C4—21no—
379C2×C4⋊C4—24no—
380C2×C4⋊C4—42no—
381C2×C4⋊C4—41no—
382C2×C4⋊C4—41no—
383C2×C4⋊C4—41no—
384C2×C4⋊C4C2×D411yescharacteristic
385C2×C4⋊C4C2×D411yescharacteristic
386C2×C4⋊C4C2×D411yescharacteristic
387C2×C4⋊C4C2×D411yescharacteristic
388C2×C22⋊C4—21no—
389C2×C22⋊C4—21no—
390C2×C22⋊C4—41no—
391C2×C22⋊C4—41no—
392C2×C22⋊C4—41no—
393C2×C22⋊C4—41no—
394C2×C22⋊C4—41no—
395C2×C22⋊C4—41no—
396C2×C22⋊C4—41no—
397C2×C42—21no—
398C2×C42—21no—
399C2×C42—41no—
400C2×C42C2411yescharacteristic
401#107—24no—
402#107—24no—
403#106—24no—
404#106C2×D414yes—
405#106C2×D414yes—
406C4⋊C8—24no—
407C4⋊C8—24no—
408C4⋊C8—21no—
409C4⋊C8—21no—
410C4⋊C8—21no—
411C4⋊C8—21no—
412C4⋊C8C2412yes—
413C4⋊C8C2412yes—
414C4⋊C8C2412yes—
415C4⋊C8C2412yes—
416#103—24no—
417#103—24no—
418#103—44no—
419#103C2×D414yes—
420#103C2×D414yes—
421#102—24no—
422#102—24no—
423#102—24no—
424#102—24no—
425#102—24no—
426#102—24no—
427#102—24no—
428#102—24no—
429#102—24no—
430#102—24no—
431#102—24no—
432#102—24no—
433#102C2×D414yes—
434#102C2×D414yes—
435C22⋊C8—24no—
436C22⋊C8—24no—
437C4×C8—24no—
438C4×C8—24no—
439C4×C8—21no—
440C4×C8C2×D412yes—
441C4×C8C2×D412yes—
442C4×C8C2412yes—
443C4×C8C2412yes—
444C4×C8C2412yes—
445C24—21no—
446C24—21no—
447C24—44no—
448C24—41no—
449C24—41no—
450C24—84no—
451C24—84no—
452C24—162no—
453C2×Q8—21no—
454C2×Q8—21no—
455C2×Q8—22no—
456C2×Q8—22no—
457C2×Q8—22no—
458C2×Q8—22no—
459C2×Q8—22no—
460C2×Q8—22no—
461C2×Q8—41no—
462C2×Q8—41no—
463C2×Q8—42no—
464C2×Q8—42no—
465C2×Q8—82no—
466C2×Q8C22×D412yes—
467C2×Q8C22×D412yes—
468C2×D4—21no—
469C2×D4—21no—
470C2×D4—22no—
471C2×D4—22no—
472C2×D4—22no—
473C2×D4—22no—
474C2×D4—22no—
475C2×D4—22no—
476C2×D4—22no—
477C2×D4—22no—
478C2×D4—22no—
479C2×D4—44no—
480C2×D4—44no—
481C2×D4—48no—
482C2×D4—48no—
483C2×D4—41no—
484C2×D4—41no—
485C2×D4—41no—
486C2×D4—41no—
487C2×D4—41no—
488C2×D4—41no—
489C2×D4—42no—
490C2×D4—42no—
491C2×D4—42no—
492C2×D4—42no—
493C2×D4—42no—
494C2×D4—42no—
495C2×D4—42no—
496C2×D4—42no—
497C2×D4—82no—
498C2×D4—82no—
499C2×D4—84no—
500C2×D4—84no—
501C2×D4—88no—
502C2×D4—88no—
503C2×D4—84no—
504C2×D4—84no—
505C2×D4#13514yes—
506C2×D4C22×D412yes—
507C2×D4C22×D412yes—
508C22×C4—21no—
509C22×C4—21no—
510C22×C4—21no—
511C22×C4—21no—
512C22×C4—21no—
513C22×C4—21no—
514C22×C4—22no—
515C22×C4—22no—
516C22×C4—22no—
517C22×C4—22no—
518C22×C4—44no—
519C22×C4—44no—
520C22×C4—42no—
521C22×C4—42no—
522C22×C4—42no—
523C22×C4—42no—
524C22×C4—41no—
525C22×C4—41no—
526C22×C4—162no—
527C22×C4—162no—
528C22×C4C22×D411yescharacteristic
529C22×C4C22×D411yescharacteristic
530C22×C4H(5,𝔽2)11yescharacteristic
531Q16—84no—
532SD16—28no—
533SD16—44no—
534SD16—48no—
535SD16—84no—
536SD16—84no—
537SD16—84no—
538D8—48no—
539D8—84no—
540D8—88no—
541M16—84no—
542C2×C8—22no—
543C2×C8—22no—
544C2×C8—22no—
545C2×C8—22no—
546C2×C8—22no—
547C2×C8—22no—
548C2×C8—22no—
549C2×C8—22no—
550C2×C8—22no—
551C2×C8—42no—
552C2×C8—42no—
553C2×C8—42no—
554C2×C8—42no—
555C2×C8—42no—
556C2×C8—84no—
557C2×C8C22×D412yes—
558C2×C8C22×D412yes—
559C2×C8C22×D412yes—
560C2×C8C22×D412yes—
561C4⋊C4—22no—
562C4⋊C4—22no—
563C4⋊C4—21no—
564C4⋊C4—21no—
565C4⋊C4—21no—
566C4⋊C4—21no—
567C4⋊C4—22no—
568C4⋊C4—22no—
569C4⋊C4—22no—
570C4⋊C4—22no—
571C4⋊C4—22no—
572C4⋊C4—22no—
573C4⋊C4—44no—
574C4⋊C4—44no—
575C4⋊C4—44no—
576C4⋊C4—41no—
577C4⋊C4—41no—
578C4⋊C4—41no—
579C4⋊C4—41no—
580C4⋊C4C22×D412yes—
581C4⋊C4C22×D412yes—
582C4⋊C4C22×D412yes—
583C4⋊C4C22×D412yes—
584C22⋊C4—22no—
585C22⋊C4—22no—
586C22⋊C4—22no—
587C22⋊C4—22no—
588C22⋊C4—44no—
589C22⋊C4—44no—
590C22⋊C4—44no—
591C22⋊C4—44no—
592C22⋊C4—44no—
593C22⋊C4—44no—
594C22⋊C4—44no—
595C42—22no—
596C42—22no—
597C42—22no—
598C42—22no—
599C42—44no—
600C42C22×D411yescharacteristic
601C42C22×D411yescharacteristic
602C42H(5,𝔽2)11yescharacteristic
603C42C2511yescharacteristic
604C23—22no—
605C23—24no—
606C23—22no—
607C23—42no—
608C23—42no—
609C23—42no—
610C23—42no—
611C23—42no—
612C23—42no—
613C23—42no—
614C23—88no—
615C23—88no—
616C23—82no—
617C23—82no—
618C23—82no—
619C23—82no—
620C23—82no—
621C23—82no—
622C23—164no—
623C23—1616no—
624C23D4211yescharacteristic
625Q8—22no—
626Q8—22no—
627Q8—22no—
628Q8—22no—
629Q8—42no—
630Q8—42no—
631Q8—42no—
632Q8—42no—
633Q8—82no—
634Q8—82no—
635Q8—161no—
636D4—24no—
637D4—22no—
638D4—22no—
639D4—22no—
640D4—42no—
641D4—42no—
642D4—42no—
643D4—42no—
644D4—42no—
645D4—42no—
646D4—42no—
647D4—42no—
648D4—42no—
649D4—82no—
650D4—82no—
651D4—88no—
652D4—88no—
653D4—82no—
654D4—82no—
655D4—82no—
656D4—82no—
657D4—161no—
658D4—161no—
659D4C2×#13514yes—
660C2×C4—22no—
661C2×C4—22no—
662C2×C4—22no—
663C2×C4—22no—
664C2×C4—22no—
665C2×C4—22no—
666C2×C4—22no—
667C2×C4—42no—
668C2×C4—42no—
669C2×C4—42no—
670C2×C4—42no—
671C2×C4—42no—
672C2×C4—42no—
673C2×C4—44no—
674C2×C4—44no—
675C2×C4—42no—
676C2×C4—42no—
677C2×C4—42no—
678C2×C4—42no—
679C2×C4—42no—
680C2×C4—42no—
681C2×C4—82no—
682C2×C4—82no—
683C2×C4—164no—
684C2×C4—164no—
685C2×C4D4211yescharacteristic
686C2×C4D4211yescharacteristic
687C2×C4D4211yescharacteristic
688C2×C4C2×#13512yes—
689C2×C4#57512yes—
690C2×C4#57612yes—
691C2×C4#57712yes—
692C2×C4C23×D411yescharacteristic
693C2×C4C23×D411yescharacteristic
694C2×C4C2×H(5,𝔽2)11yescharacteristic
695C8—22no—
696C8—22no—
697C8—22no—
698C8—22no—
699C8—42no—
700C8—42no—
701C8—42no—
702C8—42no—
703C8—42no—
704C22—24no—
705C22—42no—
706C22—48no—
707C22—42no—
708C22—42no—
709C22—42no—
710C22—42no—
711C22—84no—
712C22—82no—
713C22—82no—
714C22—82no—
715C22—82no—
716C22—82no—
717C22—82no—
718C22—1616no—
719C22—164no—
720C22—164no—
721C22#326812yes—
722C22#328212yes—
723C22#328812yes—
724C22C2×D4211yescharacteristic
725C4—21no—
726C4—21no—
727C4—42no—
728C4—42no—
729C4—42no—
730C4—42no—
731C4—42no—
732C4—42no—
733C4—82no—
734C4—82no—
735C4#326812yes—
736C4#328212yes—
737C4C22×#13511yescharacteristic
738C4C2×#57511yescharacteristic
739C4C2×#57611yescharacteristic
740C4C2×#57711yescharacteristic
741C2—44no—
742C2—82no—
743C2—162no—
744C2—162no—
745C2#1982514yesdirect product factor
746C2C2×#326811yescharacteristic
747C2C2×#328211yescharacteristic
748C2C2×#328811yescharacteristic
subgroupG/H
center, socleC23D42
commutator, Frattini, cosocleC42C25
prime radicalC2×#1619C2
LCSG ▷ C42 ▷ C22 ▷ C1
UCSC1 ◁ C23 ◁ C2×C42 ◁ G
LECSG ▷ C42 ▷ C22 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C2×#3394C2semidirect
2. C2×#3361C2semidirect
3. C2×#3324C2semidirect
4. C2×#3295C2semidirect
5. #19825C2direct (N × H)
6. C2×#1717C2semidirect
7. C2×#1697C2semidirect
8. C2×#1682C2semidirect
9. C2×#1678C2semidirect
10. C2×#1665C2semidirect
11. C2×#1638C2semidirect
12. C2×#1644C2semidirect
13. C2×#1620C2semidirect
15. C2×#1583C2semidirect
16. C2×SD16⋊C8C2semidirect
17. C2×#559C22semidirect
22. #3394C22semidirect
24. #3361C22semidirect
26. #3324C22semidirect
28. #3295C22semidirect
31. C2×#492C22semidirect
33. C2×#487C22semidirect
36. C2×#486C22semidirect
39. C2×#477C22semidirect
46. C2×#462C22semidirect
55. C2×C8×Q8C22semidirect
56. C2×C8×Q8C22semidirect
65. #1717C22semidirect
66. #1697C22semidirect
67. #1682C22semidirect
68. #1678C22semidirect
69. #1665C22semidirect
70. #1644C22semidirect
71. #1638C22semidirect
72. #1620C22semidirect
74. #1583C22semidirect
75. SD16⋊C8C22semidirect
76. C2×#335C22semidirect
77. C2×#334C22semidirect
78. C2×#333C22semidirect
79. C2×#332C22semidirect
81. C2×#331C22semidirect
82. C2×Q8⋊C8C22semidirect
83. C2×Q8⋊C8C22semidirect
86. C2×#322C22semidirect
104. #559C23semidirect
147. #492C23semidirect
150. #487C23semidirect
156. #486C23semidirect
161. #477C23semidirect
172. #462C23semidirect
185. C8×Q8C23semidirect
186. C8×Q8C23semidirect
236. #335C23semidirect
237. #334C23semidirect
238. #333C23semidirect
239. #332C23semidirect
241. #331C23semidirect
242. Q8⋊C8C23semidirect
243. Q8⋊C8C23semidirect
246. #322C23semidirect
745. C2#19825direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#33942
C2×#33612
C2×#33242
C2×#32952
#198252
C2×#17172
C2×#16972
C2×#16822
C2×#16782
C2×#16652
C2×#16382
C2×#16442
C2×#16202
C2×#16192
C2×#15832
C2×SD16⋊C82