Finite Group Databasebeta

← C2×#19773 #6358113

Subgroups — C2×#19773 #6358113

Order 512.

2077 conjugacy classes of subgroups.

The subgroup lattice has 785 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3360C211yesmaximal, characteristic, complemented
2C2×#3324C211yesmaximal, characteristic, complemented
3C2×#3295C211yesmaximal, characteristic, complemented
4C2×D4×D8C211yesmaximal, characteristic
5#19773C2116yesmaximal, direct product factor
6C2×#1717C211yesmaximal, characteristic, complemented
7C2×#1697C211yesmaximal, characteristic, complemented
8C2×#1668C211yesmaximal, characteristic, complemented
9C2×#1683C211yesmaximal, characteristic, complemented
10C2×#1681C211yesmaximal, characteristic, complemented
11C2×#1628C211yesmaximal, characteristic, complemented
12C2×#1639C211yesmaximal, characteristic, complemented
13C2×#1622C211yesmaximal, characteristic, complemented
14C2×#1629C211yesmaximal, characteristic, complemented
15C2×#1581C211yesmaximal, characteristic, complemented
16C2×SD16⋊C8C211yesmaximal, characteristic, complemented
17C23×D8—21no—
18C2×#556C2211yescharacteristic, complemented
19C2×#554C2211yescharacteristic, complemented
20C2×D42C2211yescharacteristic
21C2×D42C2211yescharacteristic
22#3360—24no—
23#3360C2218yescomplemented
24#3324—24no—
25#3324C2218yescomplemented
26#3295—24no—
27#3295C2218yescomplemented
28D4×D8—24no—
29D4×D8C2218yes—
30C2×#493C2211yescharacteristic
31C2×#492C2211yescharacteristic, complemented
32C2×#488—21no—
33C2×#487C2211yescharacteristic, complemented
34C2×#486C2211yescharacteristic, complemented
35C2×#486C2211yescharacteristic, complemented
36C2×#486C2211yescharacteristic, complemented
37C2×#481—21no—
38C2×#482—21no—
39C2×#479—21no—
40C2×#476C2211yescharacteristic
41C2×#476C2211yescharacteristic, complemented
42C2×#474C2211yescharacteristic
43C2×#468—21no—
44C2×#466—21no—
45C2×#465—21no—
46C2×#460C2211yescharacteristic, complemented
47C2×#460C2211yescharacteristic, complemented
48C2×#463—21no—
49C2×#461C2211yescharacteristic, complemented
50C2×#459C2211yescharacteristic
51C2×#459C2211yescharacteristic
52C2×#450—21no—
53C2×#450—21no—
54C2×#447—21no—
55C2×#447—21no—
56C2×C8×Q8C2211yescharacteristic, complemented
57C2×C4×SD16—21no—
58C2×C4×SD16C2211yescharacteristic
59C2×C4×D8C2211yescharacteristic
60C2×#436C2211yescharacteristic, complemented
61C2×C8×D4C2211yescharacteristic
62C2×C8×D4C2211yescharacteristic, complemented
63C2×#418—21no—
64C22×#102—21no—
65#1717C2218yescomplemented
66#1697C2218yescomplemented
67#1683C2218yescomplemented
68#1681C2218yescomplemented
69#1668C2218yescomplemented
70#1639C2218yescomplemented
71#1629C2218yescomplemented
72#1628C2218yescomplemented
73#1622C2218yescomplemented
74#1581C2218yescomplemented
75SD16⋊C8C2218yescomplemented
76C2×#335C2211yescharacteristic, complemented
77C2×#335C2211yescharacteristic, complemented
78C2×#333C2211yescharacteristic, complemented
79C2×#332C2211yescharacteristic, complemented
80C2×#331C2211yescharacteristic, complemented
81C2×#331C2211yescharacteristic, complemented
82C2×Q8⋊C8C2211yescharacteristic, complemented
83C2×D4⋊C8C2211yescharacteristic
84C2×D4⋊C8C2211yescharacteristic, complemented
85C2×D4⋊C8C2211yescharacteristic, complemented
86C2×#322C2211yescharacteristic, complemented
87C23×D4—21no—
88C23×D4—21no—
89C23×D4—21no—
90C23×D4—21no—
91C22×SD16—21no—
92C22×SD16—21no—
93C22×SD16—21no—
94C22×SD16—41no—
95C22×SD16D411yescharacteristic
96C22×D8—21no—
97C22×D8—21no—
98C22×D8—28no—
99C22×D8—21no—
100C22×D8—21no—
101C22×D8—48no—
102C22×D8D411yescharacteristic
103C22×M16—21no—
104C23×C8—21no—
105C23×C8—21no—
106#556—22no—
107#556—22no—
108#556—41no—
109#556C2314yescomplemented
110#554—22no—
111#554—22no—
112#554—41no—
113#554C2314yescomplemented
114D42—22no—
115D42—22no—
116D42—22no—
117D42—22no—
118D42—41no—
119D42—41no—
120D42C2314yes—
121D42C2314yes—
122C2×C4⋊Q8C2311yescharacteristic
123C2×C4⋊Q8C2311yescharacteristic
124C2×#127C2311yescharacteristic
125C2×#127C2311yescharacteristic
126C2×#126—41no—
127C2×#125—21no—
128C2×#124—21no—
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×#120—41no—
137C2×#120—41no—
138C2×C4×Q8—21no—
139C2×C4×Q8C2311yescharacteristic
140C2×C4×D4—21no—
141C2×C4×D4C2311yescharacteristic
142C2×C4×D4C2311yescharacteristic
143C2×C4×D4C2311yescharacteristic
144C2×#117—21no—
145C22×C4⋊C4—21no—
146#493—22no—
147#493C2314yes—
148#492—41no—
149#492C2314yescomplemented
150#488—28no—
151#487—22no—
152#487C2314yescomplemented
153#486—22no—
154#486—22no—
155#486—41no—
156#486C2314yescomplemented
157#486C2314yescomplemented
158#486C2314yescomplemented
159#482—28no—
160#481—28no—
161#479—28no—
162#476—22no—
163#476—22no—
164#476C2314yes—
165#476C2314yescomplemented
166#474—22no—
167#474C2314yes—
168#468—28no—
169#466—28no—
170#465—28no—
171#463—28no—
172#461—22no—
173#461C2314yescomplemented
174#460—22no—
175#460—22no—
176#460C2314yescomplemented
177#460C2314yescomplemented
178#459—22no—
179#459—22no—
180#459C2314yes—
181#459C2314yes—
182#450—28no—
183#450—28no—
184#447—28no—
185#447—28no—
186C8×Q8—22no—
187C8×Q8C2314yescomplemented
188C4×SD16—28no—
189C4×SD16D414yes—
190C4×SD16C2314yes—
191C4×D8D414yes—
192C4×D8C2314yes—
193#436—22no—
194#436C2314yescomplemented
195C8×D4—22no—
196C8×D4—22no—
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
209#418—28no—
210C2×#103—21no—
211C2×#103—21no—
212C2×#103—21no—
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—28no—
226C2×#102—41no—
227C2×#102D411yescharacteristic
228C2×#102D411yescharacteristic
229C2×#102D411yescharacteristic
230C2×C22⋊C8—21no—
231C2×C22⋊C8—21no—
232C2×C22⋊C8—21no—
233C2×C4×C8—21no—
234C2×C4×C8C2311yescharacteristic
235C2×C4×C8C2311yescharacteristic
236C2×C4×C8C2311yescharacteristic
237#335C2314yescomplemented
238#335C2314yescomplemented
239#333C2314yescomplemented
240#332C2314yescomplemented
241#331C2314yescomplemented
242#331C2314yescomplemented
243Q8⋊C8C2314yescomplemented
244D4⋊C8C2314yes—
245D4⋊C8C2314yescomplemented
246D4⋊C8C2314yescomplemented
247#322C2314yescomplemented
248C25—41no—
249C25—41no—
250C22×Q8—21no—
251C22×Q8—21no—
252C22×Q8C2×D411yescharacteristic
253C22×D4—24no—
254C22×D4—24no—
255C22×D4—24no—
256C22×D4—24no—
257C22×D4—21no—
258C22×D4—21no—
259C22×D4—21no—
260C22×D4—21no—
261C22×D4—21no—
262C22×D4—21no—
263C22×D4—42no—
264C22×D4—42no—
265C22×D4—42no—
266C22×D4—42no—
267C22×D4—41no—
268C22×D4—41no—
269C22×D4—41no—
270C22×D4—41no—
271C22×D4—44no—
272C22×D4—44no—
273C22×D4—44no—
274C22×D4—44no—
275C22×D4—82no—
276C22×D4—82no—
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—
286C2×SD16—24no—
287C2×SD16—24no—
288C2×SD16—24no—
289C2×SD16—24no—
290C2×SD16—44no—
291C2×SD16—44no—
292C2×SD16—82no—
293C2×SD16—82no—
294C2×SD16—84no—
295C2×SD16C2×D414yes—
296C2×D8—24no—
297C2×D8—24no—
298C2×D8—24no—
299C2×D8—24no—
300C2×D8—24no—
301C2×D8—44no—
302C2×D8—432no—
303C2×D8—44no—
304C2×D8—44no—
305C2×D8—82no—
306C2×D8C2×D414yes—
307C2×M16—24no—
308C2×M16—82no—
309C22×C8—21no—
310C22×C8—21no—
311C22×C8—21no—
312C22×C8—21no—
313C22×C8—21no—
314C22×C8—24no—
315C22×C8—24no—
316C22×C8—44no—
317C22×C8—82no—
318C22×C8C2×D411yescharacteristic
319C22×C8C2×D411yescharacteristic
320C22×C8C2×D411yescharacteristic
321C22×C8C2×D411yescharacteristic
322C4⋊Q8—21no—
323C4⋊Q8—21no—
324C4⋊Q8—21no—
325C4⋊Q8—21no—
326C4⋊Q8—21no—
327C4⋊Q8—21no—
328C4⋊Q8C2412yes—
329C4⋊Q8C2412yes—
330#127—21no—
331#127—21no—
332#127—21no—
333#127—21no—
334#127—21no—
335#127—21no—
336#127C2412yes—
337#127C2412yes—
338#126—44no—
339#126—44no—
340#125—24no—
341#125—42no—
342#124—24no—
343#124—42no—
344C22⋊Q8—24no—
345C22⋊Q8—24no—
346C22⋊Q8—44no—
347C22⋊Q8—44no—
348C22⋊Q8—42no—
349C22⋊Q8—42no—
350#121—24no—
351#121—24no—
352#121—24no—
353#121—24no—
354#121—42no—
355#121—42no—
356#121—42no—
357#121—42no—
358#120—44no—
359#120—44no—
360#120—44no—
361#120—44no—
362C4×Q8—21no—
363C4×Q8—21no—
364C4×Q8—24no—
365C4×Q8—42no—
366C4×Q8C2×D412yes—
367C4×Q8C2412yes—
368C4×D4—24no—
369C4×D4—21no—
370C4×D4—21no—
371C4×D4—21no—
372C4×D4—21no—
373C4×D4—21no—
374C4×D4—21no—
375C4×D4—42no—
376C4×D4C2×D412yes—
377C4×D4C2×D412yes—
378C4×D4C2×D412yes—
379C4×D4C2412yes—
380C4×D4C2412yes—
381C4×D4C2412yes—
382#117—24no—
383#117—42no—
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—42no—
391C2×C4⋊C4—41no—
392C2×C4⋊C4—41no—
393C2×C4⋊C4—41no—
394C2×C4⋊C4C2×D411yescharacteristic
395C2×C4⋊C4C2×D411yescharacteristic
396C2×C4⋊C4C2×D411yescharacteristic
397C2×C4⋊C4C2×D411yescharacteristic
398C2×C22⋊C4—21no—
399C2×C22⋊C4—21no—
400C2×C22⋊C4—21no—
401C2×C22⋊C4—41no—
402C2×C22⋊C4—41no—
403C2×C22⋊C4—41no—
404C2×C22⋊C4—41no—
405C2×C22⋊C4—41no—
406C2×C42—21no—
407C2×C42—41no—
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—24no—
425#103—24no—
426#103C2×D414yes—
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—44no—
439#102C2×D414yes—
440#102C2×D414yes—
441#102C2×D414yes—
442C22⋊C8—24no—
443C22⋊C8—24no—
444C22⋊C8—24no—
445C4×C8—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—44no—
457C24—41no—
458C24—41no—
459C24—84no—
460C24—84no—
461C24—84no—
462C24—84no—
463C24—162no—
464C24—162no—
465C2×Q8—21no—
466C2×Q8—22no—
467C2×Q8—22no—
468C2×Q8—22no—
469C2×Q8—22no—
470C2×Q8—41no—
471C2×Q8—41no—
472C2×Q8—42no—
473C2×Q8—42no—
474C2×Q8—82no—
475C2×Q8C22×D412yes—
476C2×D4—21no—
477C2×D4—21no—
478C2×D4—21no—
479C2×D4—22no—
480C2×D4—22no—
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—44no—
490C2×D4—44no—
491C2×D4—44no—
492C2×D4—44no—
493C2×D4—48no—
494C2×D4—48no—
495C2×D4—48no—
496C2×D4—48no—
497C2×D4—41no—
498C2×D4—41no—
499C2×D4—41no—
500C2×D4—41no—
501C2×D4—41no—
502C2×D4—41no—
503C2×D4—42no—
504C2×D4—42no—
505C2×D4—42no—
506C2×D4—42no—
507C2×D4—42no—
508C2×D4—42no—
509C2×D4—42no—
510C2×D4—42no—
511C2×D4—82no—
512C2×D4—82no—
513C2×D4—84no—
514C2×D4—84no—
515C2×D4—84no—
516C2×D4—84no—
517C2×D4—88no—
518C2×D4—88no—
519C2×D4—88no—
520C2×D4—88no—
521C2×D4—84no—
522C2×D4—84no—
523C2×D4—84no—
524C2×D4—84no—
525C2×D4#13514yes—
526C2×D4AGL(1,ℤ/8)14yes—
527C2×D4C22×D412yes—
528C2×D4C22×D412yes—
529C2×D4C22×D412yes—
530C22×C4—21no—
531C22×C4—21no—
532C22×C4—21no—
533C22×C4—21no—
534C22×C4—21no—
535C22×C4—22no—
536C22×C4—22no—
537C22×C4—22no—
538C22×C4—22no—
539C22×C4—22no—
540C22×C4—22no—
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—162no—
551C22×C4C22×D411yescharacteristic
552C22×C4C22×D411yescharacteristic
553C22×C4H(5,𝔽2)11yescharacteristic
554SD16—28no—
555SD16—48no—
556SD16—84no—
557SD16—84no—
558SD16—88no—
559D8—28no—
560D8—48no—
561D8—48no—
562D8—48no—
563D8—84no—
564M16—84no—
565C2×C8—22no—
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—48no—
575C2×C8—42no—
576C2×C8—42no—
577C2×C8—42no—
578C2×C8—42no—
579C2×C8—42no—
580C2×C8—84no—
581C2×C8C22×D412yes—
582C2×C8C22×D412yes—
583C2×C8C22×D412yes—
584C2×C8C22×D412yes—
585C4⋊C4—22no—
586C4⋊C4—21no—
587C4⋊C4—21no—
588C4⋊C4—21no—
589C4⋊C4—21no—
590C4⋊C4—22no—
591C4⋊C4—22no—
592C4⋊C4—22no—
593C4⋊C4—22no—
594C4⋊C4—22no—
595C4⋊C4—44no—
596C4⋊C4—44no—
597C4⋊C4—44no—
598C4⋊C4—41no—
599C4⋊C4—41no—
600C4⋊C4—41no—
601C4⋊C4—41no—
602C4⋊C4C22×D412yes—
603C4⋊C4C22×D412yes—
604C4⋊C4C22×D412yes—
605C4⋊C4C22×D412yes—
606C22⋊C4—22no—
607C22⋊C4—22no—
608C22⋊C4—22no—
609C22⋊C4—22no—
610C22⋊C4—22no—
611C22⋊C4—22no—
612C22⋊C4—44no—
613C22⋊C4—44no—
614C22⋊C4—44no—
615C22⋊C4—44no—
616C22⋊C4—44no—
617C42—22no—
618C42—22no—
619C42—44no—
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—88no—
641C23—88no—
642C23—82no—
643C23—82no—
644C23—82no—
645C23—82no—
646C23—82no—
647C23—82no—
648C23—164no—
649C23—164no—
650C23—1616no—
651C23—1616no—
652C23D4211yescharacteristic
653Q8—22no—
654Q8—22no—
655Q8—42no—
656Q8—42no—
657Q8—42no—
658Q8—82no—
659Q8—82no—
660Q8—161no—
661D4—24no—
662D4—24no—
663D4—22no—
664D4—22no—
665D4—22no—
666D4—22no—
667D4—42no—
668D4—42no—
669D4—42no—
670D4—42no—
671D4—42no—
672D4—42no—
673D4—42no—
674D4—42no—
675D4—42no—
676D4—82no—
677D4—82no—
678D4—88no—
679D4—88no—
680D4—88no—
681D4—88no—
682D4—82no—
683D4—82no—
684D4—82no—
685D4—82no—
686D4—161no—
687D4—161no—
688D4C2×#13514yes—
689D4C2×AGL(1,ℤ/8)14yes—
690C2×C4—22no—
691C2×C4—22no—
692C2×C4—22no—
693C2×C4—22no—
694C2×C4—22no—
695C2×C4—22no—
696C2×C4—42no—
697C2×C4—42no—
698C2×C4—42no—
699C2×C4—42no—
700C2×C4—42no—
701C2×C4—44no—
702C2×C4—44no—
703C2×C4—44no—
704C2×C4—42no—
705C2×C4—42no—
706C2×C4—42no—
707C2×C4—42no—
708C2×C4—42no—
709C2×C4—42no—
710C2×C4—42no—
711C2×C4—42no—
712C2×C4—82no—
713C2×C4—82no—
714C2×C4—164no—
715C2×C4D4211yescharacteristic
716C2×C4D4211yescharacteristic
717C2×C4D4211yescharacteristic
718C2×C4C2×#13512yes—
719C2×C4C2×AGL(1,ℤ/8)12yes—
720C2×C4#57612yes—
721C2×C4#57712yes—
722C2×C4C23×D411yescharacteristic
723C2×C4C23×D411yescharacteristic
724C2×C4C2×H(5,𝔽2)11yescharacteristic
725C8—22no—
726C8—22no—
727C8—22no—
728C8—22no—
729C8—42no—
730C8—42no—
731C8—42no—
732C8—42no—
733C8—42no—
734C22—24no—
735C22—24no—
736C22—48no—
737C22—48no—
738C22—42no—
739C22—42no—
740C22—42no—
741C22—42no—
742C22—42no—
743C22—42no—
744C22—42no—
745C22—84no—
746C22—82no—
747C22—82no—
748C22—82no—
749C22—82no—
750C22—82no—
751C22—82no—
752C22—1616no—
753C22—1616no—
754C22—164no—
755C22—164no—
756C22#326512yes—
757C22#328012yes—
758C22#328812yes—
759C22C2×D4211yescharacteristic
760C4—21no—
761C4—21no—
762C4—42no—
763C4—42no—
764C4—42no—
765C4—42no—
766C4—42no—
767C4—82no—
768C4—82no—
769C4#326512yes—
770C4#328012yes—
771C4C22×#13511yescharacteristic
772C4C22×AGL(1,ℤ/8)11yescharacteristic
773C4C2×#57611yescharacteristic
774C4C2×#57711yescharacteristic
775C2—44no—
776C2—44no—
777C2—82no—
778C2—162no—
779C2—162no—
780C2#1977314yesdirect product factor
781C2C2×#326511yescharacteristic
782C2C2×#328011yescharacteristic
783C2C2×#328811yescharacteristic
subgroupG/H
center, socleC23D42
commutator, Frattini, cosocleC42C25
prime radicalC2×D4×D8C2
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×#3360C2semidirect
2. C2×#3324C2semidirect
3. C2×#3295C2semidirect
5. #19773C2direct (N × H)
6. C2×#1717C2semidirect
7. C2×#1697C2semidirect
8. C2×#1668C2semidirect
9. C2×#1683C2semidirect
10. C2×#1681C2semidirect
11. C2×#1628C2semidirect
12. C2×#1639C2semidirect
13. C2×#1622C2semidirect
14. C2×#1629C2semidirect
15. C2×#1581C2semidirect
16. C2×SD16⋊C8C2semidirect
18. C2×#556C22semidirect
19. C2×#554C22semidirect
23. #3360C22semidirect
25. #3324C22semidirect
27. #3295C22semidirect
31. C2×#492C22semidirect
33. C2×#487C22semidirect
34. C2×#486C22semidirect
35. C2×#486C22semidirect
36. C2×#486C22semidirect
41. C2×#476C22semidirect
46. C2×#460C22semidirect
47. C2×#460C22semidirect
49. C2×#461C22semidirect
56. C2×C8×Q8C22semidirect
60. C2×#436C22semidirect
62. C2×C8×D4C22semidirect
65. #1717C22semidirect
66. #1697C22semidirect
67. #1683C22semidirect
68. #1681C22semidirect
69. #1668C22semidirect
70. #1639C22semidirect
71. #1629C22semidirect
72. #1628C22semidirect
73. #1622C22semidirect
74. #1581C22semidirect
75. SD16⋊C8C22semidirect
76. C2×#335C22semidirect
77. C2×#335C22semidirect
78. C2×#333C22semidirect
79. C2×#332C22semidirect
80. C2×#331C22semidirect
81. C2×#331C22semidirect
82. C2×Q8⋊C8C22semidirect
84. C2×D4⋊C8C22semidirect
85. C2×D4⋊C8C22semidirect
86. C2×#322C22semidirect
109. #556C23semidirect
113. #554C23semidirect
149. #492C23semidirect
152. #487C23semidirect
156. #486C23semidirect
157. #486C23semidirect
158. #486C23semidirect
165. #476C23semidirect
173. #461C23semidirect
176. #460C23semidirect
177. #460C23semidirect
187. C8×Q8C23semidirect
194. #436C23semidirect
198. C8×D4C23semidirect
237. #335C23semidirect
238. #335C23semidirect
239. #333C23semidirect
240. #332C23semidirect
241. #331C23semidirect
242. #331C23semidirect
243. Q8⋊C8C23semidirect
245. D4⋊C8C23semidirect
246. D4⋊C8C23semidirect
247. #322C23semidirect
780. C2#19773direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#33602
C2×#33242
C2×#32952
C2×D4×D82
#197732
C2×#17172
C2×#16972
C2×#16682
C2×#16832
C2×#16812
C2×#16282
C2×#16392
C2×#16222
C2×#16292
C2×#15812
C2×SD16⋊C82