Finite Group Databasebeta

← C2×#19788 #6358129

Subgroups — C2×#19788 #6358129

Order 512.

2045 conjugacy classes of subgroups.

The subgroup lattice has 783 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3366C211yesmaximal, characteristic, complemented
2C2×#3295C211yesmaximal, characteristic, complemented
3C2×#3294C211yesmaximal, characteristic, complemented
4C2×#3284C211yesmaximal, characteristic, complemented
5#19788C2116yesmaximal, direct product factor
6C2×#1717C211yesmaximal, characteristic, complemented
7C2×#1702C211yesmaximal, characteristic, complemented
8C2×#1677C211yesmaximal, characteristic, complemented
9C2×#1677C211yesmaximal, characteristic, complemented
10C2×#1665C211yesmaximal, characteristic, complemented
11C2×#1621C211yesmaximal, characteristic, complemented
12C2×#1635C211yesmaximal, characteristic, complemented
13C2×#1644C211yesmaximal, characteristic, complemented
14C2×#1619C211yesmaximal, characteristic, complemented
15C2×#1582C211yesmaximal, characteristic, complemented
16C2×#1580C211yesmaximal, characteristic, complemented
17C22×#135—21no—
18C2×#554C2211yescharacteristic
19C2×#550C2211yescharacteristic, complemented
20C2×#547C2211yescharacteristic
21C2×D42C2211yescharacteristic
22#3366—24no—
23#3366C2218yescomplemented
24#3295—24no—
25#3295C2218yescomplemented
26#3294—24no—
27#3294C2218yescomplemented
28#3284—24no—
29#3284C2218yescomplemented
30C2×#493C2211yescharacteristic
31C2×#492C2211yescharacteristic, complemented
32C2×#490—21no—
33C2×#487C2211yescharacteristic, complemented
34C2×#486C2211yescharacteristic
35C2×#486C2211yescharacteristic
36C2×#486C2211yescharacteristic, complemented
37C2×#481—21no—
38C2×#480—21no—
39C2×#478—21no—
40C2×#476C2211yescharacteristic
41C2×#476C2211yescharacteristic, complemented
42C2×#474C2211yescharacteristic
43C2×#466—21no—
44C2×#465—21no—
45C2×#465—21no—
46C2×#462C2211yescharacteristic, complemented
47C2×#460C2211yescharacteristic
48C2×#459—21no—
49C2×#459C2211yescharacteristic
50C2×#459C2211yescharacteristic
51C2×#459C2211yescharacteristic
52C2×#452—21no—
53C2×#449—21no—
54C2×#450—21no—
55C2×#447—21no—
56C2×#446C2211yescharacteristic, complemented
57C2×#442—21no—
58C2×C4×SD16C2211yescharacteristic
59C2×C4×D8C2211yescharacteristic
60C2×C8×D4C2211yescharacteristic
61C2×C8×D4C2211yescharacteristic
62C2×C8×D4C2211yescharacteristic, complemented
63C22×#102—21no—
64C22×#102—21no—
65#1717C2218yescomplemented
66#1702C2218yescomplemented
67#1677C2218yescomplemented
68#1677C2218yescomplemented
69#1665C2218yescomplemented
70#1644C2218yescomplemented
71#1635C2218yescomplemented
72#1621C2218yescomplemented
73#1619C2218yescomplemented
74#1582C2218yescomplemented
75#1580C2218yescomplemented
76C2×#334C2211yescharacteristic, complemented
77C2×#334C2211yescharacteristic, complemented
78C2×#333C2211yescharacteristic, complemented
79C2×#332C2211yescharacteristic, complemented
80C2×#331C2211yescharacteristic
81C2×#331C2211yescharacteristic, complemented
82C2×Q8⋊C8C2211yescharacteristic, complemented
83C2×D4⋊C8C2211yescharacteristic
84C2×D4⋊C8C2211yescharacteristic
85C2×D4⋊C8C2211yescharacteristic, complemented
86C2×#322C2211yescharacteristic, complemented
87C22×#41—21no—
88C22×#41—21no—
89C23×D4—21no—
90C23×D4—21no—
91C2×#135—28no—
92C2×#135—48no—
93C22×Q16—21no—
94C22×SD16—21no—
95C22×SD16—21no—
96C22×SD16—21no—
97C22×SD16D411yescharacteristic
98C22×D8—21no—
99C22×D8—21no—
100C22×D8—21no—
101C22×D8—41no—
102C22×D8D411yescharacteristic
103C23×C8—21no—
104C23×C8—21no—
105C23×C8—21no—
106#554—22no—
107#554—22no—
108#554—41no—
109#554C2314yes—
110#550—22no—
111#550—22no—
112#550—41no—
113#550C2314yescomplemented
114#547—22no—
115#547—22no—
116#547—41no—
117#547C2314yes—
118D42—22no—
119D42—22no—
120D42—41no—
121D42C2314yes—
122C2×C4⋊Q8C2311yescharacteristic
123C2×C4⋊Q8C2311yescharacteristic
124C2×#127—21no—
125C2×#127C2311yescharacteristic
126C2×#127C2311yescharacteristic
127C2×#125—21no—
128C2×#123—41no—
129C2×C22⋊Q8—21no—
130C2×C22⋊Q8—21no—
131C2×C22⋊Q8—41no—
132C2×#121—21no—
133C2×#121—21no—
134C2×#121—21no—
135C2×#121—21no—
136C2×#121—41no—
137C2×#120—41no—
138C2×C4×Q8C2311yescharacteristic
139C2×C4×D4—21no—
140C2×C4×D4—21no—
141C2×C4×D4C2311yescharacteristic
142C2×C4×D4C2311yescharacteristic
143C2×C4×D4C2311yescharacteristic
144C22×C4⋊C4—21no—
145C22×C4⋊C4—21no—
146#493—41no—
147#493C2314yes—
148#492—22no—
149#492C2314yescomplemented
150#490—28no—
151#487—41no—
152#487C2314yescomplemented
153#486—22no—
154#486—22no—
155#486—22no—
156#486C2314yes—
157#486C2314yes—
158#486C2314yescomplemented
159#481—28no—
160#480—28no—
161#478—28no—
162#476—22no—
163#476—22no—
164#476C2314yes—
165#476C2314yescomplemented
166#474—22no—
167#474C2314yes—
168#466—28no—
169#465—28no—
170#465—28no—
171#462—22no—
172#462C2314yescomplemented
173#460—22no—
174#460C2314yes—
175#459—28no—
176#459—22no—
177#459—22no—
178#459—22no—
179#459C2314yes—
180#459C2314yes—
181#459C2314yes—
182#452—28no—
183#450—28no—
184#449—28no—
185#447—28no—
186#446—22no—
187#446C2314yescomplemented
188#442—28no—
189C4×SD16D414yes—
190C4×SD16C2314yes—
191C4×D8D414yes—
192C4×D8C2314yes—
193C8×D4—22no—
194C8×D4—22no—
195C8×D4—22no—
196C8×D4C2314yes—
197C8×D4C2314yes—
198C8×D4C2314yescomplemented
199C2×#107—21no—
200C2×#107D411yescharacteristic
201C2×#106—21no—
202C2×#106—21no—
203C2×#106D411yescharacteristic
204C2×C4⋊C8—21no—
205C2×C4⋊C8C2311yescharacteristic
206C2×C4⋊C8C2311yescharacteristic
207C2×C4⋊C8C2311yescharacteristic
208C2×C4⋊C8C2311yescharacteristic
209C2×#103—21no—
210C2×#103—41no—
211C2×#103D411yescharacteristic
212C2×#102—21no—
213C2×#102—21no—
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—28no—
226C2×#102—28no—
227C2×#102D411yescharacteristic
228C2×#102D411yescharacteristic
229C2×#102D411yescharacteristic
230C2×C22⋊C8—21no—
231C2×C22⋊C8—21no—
232C2×C22⋊C8—21no—
233C2×#97—21no—
234C2×C4×C8C2311yescharacteristic
235C2×C4×C8C2311yescharacteristic
236C2×C4×C8C2311yescharacteristic
237#334C2314yescomplemented
238#334C2314yescomplemented
239#333C2314yescomplemented
240#332C2314yescomplemented
241#331C2314yes—
242#331C2314yescomplemented
243Q8⋊C8C2314yescomplemented
244D4⋊C8C2314yes—
245D4⋊C8C2314yes—
246D4⋊C8C2314yescomplemented
247#322C2314yescomplemented
248C25—41no—
249C2×#41—24no—
250C2×#41—24no—
251C2×#41—42no—
252C2×#41—42no—
253C2×#41—44no—
254C2×#41—44no—
255C2×#41—82no—
256C2×#41—82no—
257C22×Q8—21no—
258C22×Q8—21no—
259C22×Q8C2×D411yescharacteristic
260C22×D4—24no—
261C22×D4—24no—
262C22×D4—21no—
263C22×D4—21no—
264C22×D4—21no—
265C22×D4—21no—
266C22×D4—21no—
267C22×D4—21no—
268C22×D4—42no—
269C22×D4—42no—
270C22×D4—41no—
271C22×D4—41no—
272C22×D4—41no—
273C22×D4—41no—
274C22×D4—44no—
275C22×D4—44no—
276C22×D4—41no—
277C22×D4—82no—
278C22×D4—82no—
279C22×D4C2×D411yescharacteristic
280C22×D4C2×D411yescharacteristic
281C22×D4C2×D411yescharacteristic
282C23×C4—21no—
283C23×C4—21no—
284C23×C4—21no—
285C23×C4—41no—
286C23×C4—41no—
287C23×C4—41no—
288#135—432no—
289C2×Q16—24no—
290C2×Q16—44no—
291C2×SD16—24no—
292C2×SD16—24no—
293C2×SD16—24no—
294C2×SD16—24no—
295C2×SD16—44no—
296C2×SD16—82no—
297C2×SD16—82no—
298C2×SD16C2×D414yes—
299C2×D8—24no—
300C2×D8—24no—
301C2×D8—24no—
302C2×D8—24no—
303C2×D8—44no—
304C2×D8—44no—
305C2×D8—44no—
306C2×D8—82no—
307C2×D8—84no—
308C2×D8C2×D414yes—
309C22×C8—21no—
310C22×C8—21no—
311C22×C8—21no—
312C22×C8—21no—
313C22×C8—21no—
314C22×C8—24no—
315C22×C8—24no—
316C22×C8—24no—
317C22×C8—44no—
318C22×C8—82no—
319C22×C8—82no—
320C22×C8C2×D411yescharacteristic
321C22×C8C2×D411yescharacteristic
322C22×C8C2×D411yescharacteristic
323C22×C8C2×D411yescharacteristic
324C4⋊Q8—21no—
325C4⋊Q8—21no—
326C4⋊Q8—21no—
327C4⋊Q8—21no—
328C4⋊Q8—21no—
329C4⋊Q8—21no—
330C4⋊Q8C2412yes—
331C4⋊Q8C2412yes—
332#127—24no—
333#127—21no—
334#127—21no—
335#127—21no—
336#127—21no—
337#127—21no—
338#127—21no—
339#127—42no—
340#127C2412yes—
341#127C2412yes—
342#125—24no—
343#125—42no—
344#123—44no—
345#123—44no—
346C22⋊Q8—24no—
347C22⋊Q8—24no—
348C22⋊Q8—44no—
349C22⋊Q8—44no—
350C22⋊Q8—42no—
351C22⋊Q8—42no—
352#121—24no—
353#121—24no—
354#121—24no—
355#121—24no—
356#121—44no—
357#121—44no—
358#121—42no—
359#121—42no—
360#121—42no—
361#121—42no—
362#120—44no—
363#120—44no—
364C4×Q8—21no—
365C4×Q8—21no—
366C4×Q8C2×D412yes—
367C4×Q8C2412yes—
368C4×D4—24no—
369C4×D4—24no—
370C4×D4—21no—
371C4×D4—21no—
372C4×D4—21no—
373C4×D4—21no—
374C4×D4—21no—
375C4×D4—21no—
376C4×D4—42no—
377C4×D4—42no—
378C4×D4C2×D412yes—
379C4×D4C2×D412yes—
380C4×D4C2×D412yes—
381C4×D4C2412yes—
382C4×D4C2412yes—
383C4×D4C2412yes—
384C2×C4⋊C4—21no—
385C2×C4⋊C4—21no—
386C2×C4⋊C4—21no—
387C2×C4⋊C4—21no—
388C2×C4⋊C4—21no—
389C2×C4⋊C4—24no—
390C2×C4⋊C4—24no—
391C2×C4⋊C4—42no—
392C2×C4⋊C4—42no—
393C2×C4⋊C4—41no—
394C2×C4⋊C4—41no—
395C2×C4⋊C4—41no—
396C2×C4⋊C4C2×D411yescharacteristic
397C2×C4⋊C4C2×D411yescharacteristic
398C2×C4⋊C4C2×D411yescharacteristic
399C2×C4⋊C4C2×D411yescharacteristic
400C2×C22⋊C4—21no—
401C2×C22⋊C4—21no—
402C2×C22⋊C4—21no—
403C2×C22⋊C4—41no—
404C2×C22⋊C4—41no—
405C2×C22⋊C4—41no—
406C2×C22⋊C4—41no—
407C2×C42—21no—
408C2×C42C2411yescharacteristic
409#107—24no—
410#107C2×D414yes—
411#106—24no—
412#106—24no—
413#106C2×D414yes—
414C4⋊C8—24no—
415C4⋊C8—21no—
416C4⋊C8—21no—
417C4⋊C8—21no—
418C4⋊C8—21no—
419C4⋊C8C2412yes—
420C4⋊C8C2412yes—
421C4⋊C8C2412yes—
422C4⋊C8C2412yes—
423#103—24no—
424#103—44no—
425#103C2×D414yes—
426#102—24no—
427#102—24no—
428#102—24no—
429#102—24no—
430#102—24no—
431#102—24no—
432#102—24no—
433#102—24no—
434#102—24no—
435#102—24no—
436#102—24no—
437#102—24no—
438#102—24no—
439#102C2×D414yes—
440#102C2×D414yes—
441#102C2×D414yes—
442C22⋊C8—24no—
443C22⋊C8—24no—
444C22⋊C8—24no—
445#97—24no—
446C4×C8—21no—
447C4×C8C2×D412yes—
448C4×C8C2×D412yes—
449C4×C8C2412yes—
450C4×C8C2412yes—
451C4×C8C2412yes—
452C24—21no—
453C24—21no—
454C24—21no—
455C24—44no—
456C24—41no—
457C24—41no—
458C24—84no—
459C24—84no—
460C24—162no—
461#41—48no—
462#41—48no—
463#41—84no—
464#41—88no—
465#41—84no—
466#41—88no—
467C2×Q8—21no—
468C2×Q8—22no—
469C2×Q8—22no—
470C2×Q8—22no—
471C2×Q8—22no—
472C2×Q8—41no—
473C2×Q8—41no—
474C2×Q8—42no—
475C2×Q8—42no—
476C2×Q8—82no—
477C2×Q8C22×D412yes—
478C2×D4—21no—
479C2×D4—21no—
480C2×D4—21no—
481C2×D4—22no—
482C2×D4—22no—
483C2×D4—22no—
484C2×D4—22no—
485C2×D4—22no—
486C2×D4—22no—
487C2×D4—22no—
488C2×D4—22no—
489C2×D4—22no—
490C2×D4—22no—
491C2×D4—44no—
492C2×D4—44no—
493C2×D4—44no—
494C2×D4—44no—
495C2×D4—48no—
496C2×D4—48no—
497C2×D4—44no—
498C2×D4—41no—
499C2×D4—41no—
500C2×D4—41no—
501C2×D4—41no—
502C2×D4—41no—
503C2×D4—41no—
504C2×D4—42no—
505C2×D4—42no—
506C2×D4—42no—
507C2×D4—42no—
508C2×D4—42no—
509C2×D4—42no—
510C2×D4—42no—
511C2×D4—42no—
512C2×D4—82no—
513C2×D4—82no—
514C2×D4—84no—
515C2×D4—84no—
516C2×D4—88no—
517C2×D4—88no—
518C2×D4—84no—
519C2×D4—84no—
520C2×D4—84no—
521C2×D4—84no—
522C2×D4—162no—
523C2×D4#13514yescomplemented
524C2×D4AGL(1,ℤ/8)14yes—
525C2×D4C22×D412yes—
526C2×D4C22×D412yes—
527C2×D4C22×D412yes—
528C22×C4—21no—
529C22×C4—21no—
530C22×C4—21no—
531C22×C4—21no—
532C22×C4—21no—
533C22×C4—22no—
534C22×C4—22no—
535C22×C4—22no—
536C22×C4—22no—
537C22×C4—22no—
538C22×C4—22no—
539C22×C4—44no—
540C22×C4—44no—
541C22×C4—44no—
542C22×C4—42no—
543C22×C4—42no—
544C22×C4—42no—
545C22×C4—42no—
546C22×C4—42no—
547C22×C4—42no—
548C22×C4—41no—
549C22×C4—41no—
550C22×C4—84no—
551C22×C4—84no—
552C22×C4—162no—
553C22×C4C22×D411yescharacteristic
554C22×C4C22×D411yescharacteristic
555C22×C4H(5,𝔽2)11yescharacteristic
556Q16—48no—
557SD16—28no—
558SD16—48no—
559SD16—84no—
560SD16—84no—
561D8—28no—
562D8—48no—
563D8—48no—
564D8—84no—
565D8—88no—
566C2×C8—22no—
567C2×C8—22no—
568C2×C8—22no—
569C2×C8—22no—
570C2×C8—22no—
571C2×C8—22no—
572C2×C8—22no—
573C2×C8—22no—
574C2×C8—22no—
575C2×C8—48no—
576C2×C8—42no—
577C2×C8—42no—
578C2×C8—42no—
579C2×C8—42no—
580C2×C8—42no—
581C2×C8—84no—
582C2×C8—84no—
583C2×C8C22×D412yes—
584C2×C8C22×D412yes—
585C2×C8C22×D412yes—
586C2×C8C22×D412yes—
587C4⋊C4—22no—
588C4⋊C4—21no—
589C4⋊C4—21no—
590C4⋊C4—21no—
591C4⋊C4—21no—
592C4⋊C4—22no—
593C4⋊C4—22no—
594C4⋊C4—22no—
595C4⋊C4—22no—
596C4⋊C4—22no—
597C4⋊C4—44no—
598C4⋊C4—44no—
599C4⋊C4—44no—
600C4⋊C4—41no—
601C4⋊C4—41no—
602C4⋊C4—41no—
603C4⋊C4—41no—
604C4⋊C4C22×D412yes—
605C4⋊C4C22×D412yes—
606C4⋊C4C22×D412yes—
607C4⋊C4C22×D412yes—
608C22⋊C4—22no—
609C22⋊C4—22no—
610C22⋊C4—22no—
611C22⋊C4—22no—
612C22⋊C4—22no—
613C22⋊C4—22no—
614C22⋊C4—44no—
615C22⋊C4—44no—
616C22⋊C4—44no—
617C22⋊C4—44no—
618C42—22no—
619C42—22no—
620C42C22×D411yescharacteristic
621C42C22×D411yescharacteristic
622C42H(5,𝔽2)11yescharacteristic
623C42C2511yescharacteristic
624C23—22no—
625C23—22no—
626C23—24no—
627C23—24no—
628C23—22no—
629C23—42no—
630C23—42no—
631C23—42no—
632C23—42no—
633C23—42no—
634C23—42no—
635C23—42no—
636C23—42no—
637C23—42no—
638C23—88no—
639C23—88no—
640C23—82no—
641C23—82no—
642C23—82no—
643C23—82no—
644C23—82no—
645C23—82no—
646C23—164no—
647C23—1616no—
648C23D4211yescharacteristic
649Q8—22no—
650Q8—22no—
651Q8—42no—
652Q8—42no—
653Q8—42no—
654Q8—82no—
655Q8—82no—
656Q8—161no—
657D4—24no—
658D4—24no—
659D4—22no—
660D4—22no—
661D4—22no—
662D4—22no—
663D4—42no—
664D4—42no—
665D4—42no—
666D4—42no—
667D4—42no—
668D4—42no—
669D4—42no—
670D4—42no—
671D4—42no—
672D4—82no—
673D4—82no—
674D4—88no—
675D4—88no—
676D4—88no—
677D4—88no—
678D4—82no—
679D4—82no—
680D4—82no—
681D4—82no—
682D4—161no—
683D4—161no—
684D4—164no—
685D4C2×#13514yescomplemented
686D4C2×AGL(1,ℤ/8)14yes—
687C2×C4—22no—
688C2×C4—22no—
689C2×C4—22no—
690C2×C4—22no—
691C2×C4—22no—
692C2×C4—22no—
693C2×C4—42no—
694C2×C4—42no—
695C2×C4—42no—
696C2×C4—42no—
697C2×C4—42no—
698C2×C4—44no—
699C2×C4—44no—
700C2×C4—44no—
701C2×C4—42no—
702C2×C4—42no—
703C2×C4—42no—
704C2×C4—42no—
705C2×C4—42no—
706C2×C4—42no—
707C2×C4—42no—
708C2×C4—42no—
709C2×C4—88no—
710C2×C4—88no—
711C2×C4—82no—
712C2×C4—82no—
713C2×C4—164no—
714C2×C4D4211yescharacteristic
715C2×C4D4211yescharacteristic
716C2×C4D4211yescharacteristic
717C2×C4C2×#13512yes—
718C2×C4C2×AGL(1,ℤ/8)12yes—
719C2×C4#57612yes—
720C2×C4#57712yes—
721C2×C4C23×D411yescharacteristic
722C2×C4C23×D411yescharacteristic
723C2×C4C2×H(5,𝔽2)11yescharacteristic
724C8—22no—
725C8—22no—
726C8—22no—
727C8—22no—
728C8—42no—
729C8—42no—
730C8—42no—
731C8—42no—
732C8—42no—
733C22—24no—
734C22—24no—
735C22—48no—
736C22—48no—
737C22—42no—
738C22—42no—
739C22—42no—
740C22—42no—
741C22—42no—
742C22—42no—
743C22—42no—
744C22—84no—
745C22—82no—
746C22—82no—
747C22—82no—
748C22—82no—
749C22—82no—
750C22—82no—
751C22—1616no—
752C22—164no—
753C22—164no—
754C22#326412yes—
755C22#328212yes—
756C22#328812yes—
757C22C2×D4211yescharacteristic
758C4—21no—
759C4—21no—
760C4—42no—
761C4—42no—
762C4—42no—
763C4—42no—
764C4—42no—
765C4—82no—
766C4—82no—
767C4#326412yes—
768C4#328212yes—
769C4C22×#13511yescharacteristic
770C4C22×AGL(1,ℤ/8)11yescharacteristic
771C4C2×#57611yescharacteristic
772C4C2×#57711yescharacteristic
773C2—44no—
774C2—44no—
775C2—82no—
776C2—162no—
777C2—162no—
778C2#1978814yesdirect product factor
779C2C2×#326411yescharacteristic
780C2C2×#328211yescharacteristic
781C2C2×#328811yescharacteristic
subgroupG/H
center, socleC23D42
commutator, Frattini, cosocleC42C25
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×#3366C2semidirect
2. C2×#3295C2semidirect
3. C2×#3294C2semidirect
4. C2×#3284C2semidirect
5. #19788C2direct (N × H)
6. C2×#1717C2semidirect
7. C2×#1702C2semidirect
8. C2×#1677C2semidirect
9. C2×#1677C2semidirect
10. C2×#1665C2semidirect
11. C2×#1621C2semidirect
12. C2×#1635C2semidirect
13. C2×#1644C2semidirect
14. C2×#1619C2semidirect
15. C2×#1582C2semidirect
16. C2×#1580C2semidirect
19. C2×#550C22semidirect
23. #3366C22semidirect
25. #3295C22semidirect
27. #3294C22semidirect
29. #3284C22semidirect
31. C2×#492C22semidirect
33. C2×#487C22semidirect
36. C2×#486C22semidirect
41. C2×#476C22semidirect
46. C2×#462C22semidirect
56. C2×#446C22semidirect
62. C2×C8×D4C22semidirect
65. #1717C22semidirect
66. #1702C22semidirect
67. #1677C22semidirect
68. #1677C22semidirect
69. #1665C22semidirect
70. #1644C22semidirect
71. #1635C22semidirect
72. #1621C22semidirect
73. #1619C22semidirect
74. #1582C22semidirect
75. #1580C22semidirect
76. C2×#334C22semidirect
77. C2×#334C22semidirect
78. C2×#333C22semidirect
79. C2×#332C22semidirect
81. C2×#331C22semidirect
82. C2×Q8⋊C8C22semidirect
85. C2×D4⋊C8C22semidirect
86. C2×#322C22semidirect
113. #550C23semidirect
149. #492C23semidirect
152. #487C23semidirect
158. #486C23semidirect
165. #476C23semidirect
172. #462C23semidirect
187. #446C23semidirect
198. C8×D4C23semidirect
237. #334C23semidirect
238. #334C23semidirect
239. #333C23semidirect
240. #332C23semidirect
242. #331C23semidirect
243. Q8⋊C8C23semidirect
246. D4⋊C8C23semidirect
247. #322C23semidirect
523. C2×D4#135semidirect
685. D4C2×#135semidirect
778. C2#19788direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#33662
C2×#32952
C2×#32942
C2×#32842
#197882
C2×#17172
C2×#17022
C2×#16772
C2×#16652
C2×#16212
C2×#16352
C2×#16442
C2×#16192
C2×#15822
C2×#15802