Finite Group Databasebeta

← C2×#20202 #6359554

Subgroups — C2×#20202 #6359554

Order 512.

2135 conjugacy classes of subgroups.

The subgroup lattice has 800 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3392C211yesmaximal, characteristic, complemented
2C2×#3368C211yesmaximal, characteristic, complemented
3C2×#3274C211yesmaximal, characteristic, complemented
4C2×#3274C211yesmaximal, characteristic, complemented
5#20202C2116yesmaximal, direct product factor
6C2×#1721C211yesmaximal, characteristic, complemented
7C2×#1688C211yesmaximal, characteristic, complemented
8C2×#1701C211yesmaximal, characteristic, complemented
9C2×#1685C211yesmaximal, characteristic, complemented
10C2×#1668C211yesmaximal, characteristic, complemented
11C2×#1621C211yesmaximal, characteristic, complemented
12C2×#1621C211yesmaximal, characteristic, complemented
13C2×#1626C211yesmaximal, characteristic, complemented
14C2×#1639C211yesmaximal, characteristic, complemented
15C2×#1592C211yesmaximal, characteristic, complemented
16C2×#1583C211yesmaximal, characteristic, complemented
17C22×AGL(1,ℤ/8)—21no—
18C22×AGL(1,ℤ/8)—21no—
19C2×#557C2211yescharacteristic, complemented
20C2×#550C2211yescharacteristic
21C2×#550C2211yescharacteristic
22C2×D42C2211yescharacteristic
23#3392—24no—
24#3392C2218yescomplemented
25#3368—24no—
26#3368C2218yescomplemented
27#3274—24no—
28#3274—24no—
29#3274C2218yescomplemented
30#3274C2218yescomplemented
31C2×#493C2211yescharacteristic
32C2×#493C2211yescharacteristic
33C2×#493C2211yescharacteristic, complemented
34C2×#492—21no—
35C2×#492C2211yescharacteristic, complemented
36C2×#490—21no—
37C2×#486C2211yescharacteristic
38C2×#486C2211yescharacteristic, complemented
39C2×#478—21no—
40C2×#474C2211yescharacteristic
41C2×#469—21no—
42C2×#469—21no—
43C2×#460—21no—
44C2×#460—21no—
45C2×#460C2211yescharacteristic
46C2×#460C2211yescharacteristic
47C2×#460C2211yescharacteristic, complemented
48C2×#460C2211yescharacteristic, complemented
49C2×#461—21no—
50C2×#461C2211yescharacteristic
51C2×#459C2211yescharacteristic
52C2×#459C2211yescharacteristic
53C2×#449—21no—
54C2×#449—21no—
55C2×#447—21no—
56C2×#447—21no—
57C2×#446C2211yescharacteristic, complemented
58C2×C8×Q8C2211yescharacteristic, complemented
59C2×#440—21no—
60C2×C4×SD16—21no—
61C2×C4×SD16C2211yescharacteristic
62C2×C4×SD16C2211yescharacteristic
63C2×#436C2211yescharacteristic
64C2×#436C2211yescharacteristic
65#1721C2218yescomplemented
66#1701C2218yescomplemented
67#1688C2218yescomplemented
68#1685C2218yescomplemented
69#1668C2218yescomplemented
70#1639C2218yescomplemented
71#1626C2218yescomplemented
72#1621C2218yescomplemented
73#1621C2218yescomplemented
74#1592C2218yescomplemented
75#1583C2218yescomplemented
76C2×#335C2211yescharacteristic, complemented
77C2×#334C2211yescharacteristic, complemented
78C2×#332C2211yescharacteristic, complemented
79C2×#331C2211yescharacteristic
80C2×#331C2211yescharacteristic, complemented
81C2×#331C2211yescharacteristic, complemented
82C2×Q8⋊C8C2211yescharacteristic, complemented
83C2×Q8⋊C8C2211yescharacteristic, complemented
84C2×D4⋊C8C2211yescharacteristic
85C2×D4⋊C8C2211yescharacteristic
86C2×#322C2211yescharacteristic, complemented
87C22×#41—21no—
88C22×#41—21no—
89C23×D4—21no—
90C23×D4—21no—
91C2×AGL(1,ℤ/8)—28no—
92C2×AGL(1,ℤ/8)—28no—
93C2×AGL(1,ℤ/8)—48no—
94C2×AGL(1,ℤ/8)—48no—
95C22×SD16—21no—
96C22×SD16—21no—
97C22×SD16—21no—
98C22×SD16—21no—
99C22×SD16—21no—
100C22×SD16—21no—
101C22×SD16—21no—
102C22×SD16D411yescharacteristic
103C22×SD16D411yescharacteristic
104C22×D8—21no—
105C22×D8—21no—
106C22×D8—21no—
107C22×D8—21no—
108C22×D8—21no—
109C22×D8—21no—
110C22×D8—41no—
111C22×M16—21no—
112C22×M16—21no—
113#557—22no—
114#557—22no—
115#557—41no—
116#557C2314yescomplemented
117#550—22no—
118#550—22no—
119#550—22no—
120#550—22no—
121#550—41no—
122#550—41no—
123#550C2314yes—
124#550C2314yes—
125D42—22no—
126D42—22no—
127D42—41no—
128D42C2314yes—
129C2×C4⋊Q8—21no—
130C2×C4⋊Q8C2311yescharacteristic
131C2×#127—21no—
132C2×#127—21no—
133C2×#127C2311yescharacteristic
134C2×#127C2311yescharacteristic
135C2×#127C2311yescharacteristic
136C2×#125—21no—
137C2×#125—41no—
138C2×#121—21no—
139C2×#121—21no—
140C2×#121—21no—
141C2×#121—21no—
142C2×#121—41no—
143C2×#121—41no—
144C2×#120—41no—
145C2×C4×Q8—21no—
146C2×C4×Q8—21no—
147C2×C4×Q8C2311yescharacteristic
148C2×C4×Q8C2311yescharacteristic
149C2×C4×D4—21no—
150C2×C4×D4—21no—
151C2×C4×D4C2311yescharacteristic
152C2×C4×D4C2311yescharacteristic
153#493—22no—
154#493—22no—
155#493—41no—
156#493C2314yes—
157#493C2314yes—
158#493C2314yescomplemented
159#492—28no—
160#492—22no—
161#492C2314yescomplemented
162#490—28no—
163#486—22no—
164#486—41no—
165#486C2314yes—
166#486C2314yescomplemented
167#478—28no—
168#474—22no—
169#474C2314yes—
170#469—28no—
171#469—28no—
172#461—22no—
173#461—28no—
174#461C2314yes—
175#460—28no—
176#460—22no—
177#460—22no—
178#460—22no—
179#460—22no—
180#460—28no—
181#460C2314yes—
182#460C2314yes—
183#460C2314yescomplemented
184#460C2314yescomplemented
185#459—22no—
186#459—22no—
187#459C2314yes—
188#459C2314yes—
189#449—28no—
190#449—28no—
191#447—28no—
192#447—28no—
193#446—22no—
194#446C2314yescomplemented
195C8×Q8—22no—
196C8×Q8C2314yescomplemented
197#440—28no—
198C4×SD16—28no—
199C4×SD16D414yes—
200C4×SD16D414yes—
201C4×SD16C2314yes—
202C4×SD16C2314yes—
203#436—22no—
204#436—22no—
205#436C2314yes—
206#436C2314yes—
207C2×#107—21no—
208C2×#106D411yescharacteristic
209C2×#106D411yescharacteristic
210C2×C4⋊C8—21no—
211C2×C4⋊C8—21no—
212C2×C4⋊C8C2311yescharacteristic
213C2×C4⋊C8C2311yescharacteristic
214C2×C4⋊C8C2311yescharacteristic
215C2×C4⋊C8C2311yescharacteristic
216C2×#103—21no—
217C2×#103D411yescharacteristic
218C2×#103D411yescharacteristic
219C2×#102—21no—
220C2×#102—21no—
221C2×#102—21no—
222C2×#102—21no—
223C2×#102—21no—
224C2×#102—21no—
225C2×#102—21no—
226C2×#102—21no—
227C2×#102—21no—
228C2×#102—41no—
229C2×#102D411yescharacteristic
230C2×#102D411yescharacteristic
231C2×C22⋊C8—21no—
232C2×C22⋊C8—21no—
233C2×#97—21no—
234C2×C4×C8—21no—
235C2×C4×C8C2311yescharacteristic
236C2×C4×C8C2311yescharacteristic
237C2×C4×C8C2311yescharacteristic
238#335C2314yescomplemented
239#334C2314yescomplemented
240#332C2314yescomplemented
241#331C2314yes—
242#331C2314yescomplemented
243#331C2314yescomplemented
244Q8⋊C8C2314yescomplemented
245Q8⋊C8C2314yescomplemented
246D4⋊C8C2314yes—
247D4⋊C8C2314yes—
248#322C2314yescomplemented
249C25—41no—
250C2×#41—24no—
251C2×#41—24no—
252C2×#41—42no—
253C2×#41—42no—
254C2×#41—44no—
255C2×#41—44no—
256C2×#41—82no—
257C2×#41—82no—
258C22×Q8—21no—
259C22×Q8C2×D411yescharacteristic
260C22×Q8C2×D411yescharacteristic
261C22×D4—24no—
262C22×D4—24no—
263C22×D4—21no—
264C22×D4—21no—
265C22×D4—21no—
266C22×D4—21no—
267C22×D4—21no—
268C22×D4—21no—
269C22×D4—21no—
270C22×D4—21no—
271C22×D4—21no—
272C22×D4—42no—
273C22×D4—42no—
274C22×D4—41no—
275C22×D4—41no—
276C22×D4—41no—
277C22×D4—41no—
278C22×D4—41no—
279C22×D4—41no—
280C22×D4—44no—
281C22×D4—44no—
282C22×D4—82no—
283C22×D4—82no—
284C22×D4C2×D411yescharacteristic
285C22×D4C2×D411yescharacteristic
286C23×C4—21no—
287C23×C4—21no—
288C23×C4—41no—
289C23×C4—41no—
290AGL(1,ℤ/8)—432no—
291AGL(1,ℤ/8)—432no—
292C2×SD16—24no—
293C2×SD16—24no—
294C2×SD16—24no—
295C2×SD16—24no—
296C2×SD16—24no—
297C2×SD16—24no—
298C2×SD16—24no—
299C2×SD16—24no—
300C2×SD16—24no—
301C2×SD16—44no—
302C2×SD16—44no—
303C2×SD16—44no—
304C2×SD16—44no—
305C2×SD16—82no—
306C2×SD16—82no—
307C2×SD16—82no—
308C2×SD16C2×D414yes—
309C2×SD16C2×D414yes—
310C2×D8—24no—
311C2×D8—24no—
312C2×D8—24no—
313C2×D8—24no—
314C2×D8—24no—
315C2×D8—24no—
316C2×D8—44no—
317C2×D8—44no—
318C2×D8—44no—
319C2×D8—44no—
320C2×D8—44no—
321C2×D8—82no—
322C2×D8—82no—
323C2×D8—84no—
324C2×M16—24no—
325C2×M16—24no—
326C2×M16—44no—
327C2×M16—44no—
328C22×C8—21no—
329C22×C8—21no—
330C22×C8—21no—
331C22×C8—21no—
332C22×C8—21no—
333C22×C8C2×D411yescharacteristic
334C22×C8C2×D411yescharacteristic
335C22×C8C2×D411yescharacteristic
336C22×C8C2×D411yescharacteristic
337C4⋊Q8—24no—
338C4⋊Q8—21no—
339C4⋊Q8—21no—
340C4⋊Q8—21no—
341C4⋊Q8—42no—
342C4⋊Q8C2412yes—
343#127—24no—
344#127—24no—
345#127—21no—
346#127—21no—
347#127—21no—
348#127—21no—
349#127—21no—
350#127—21no—
351#127—21no—
352#127—21no—
353#127—21no—
354#127—42no—
355#127—42no—
356#127C2412yes—
357#127C2412yes—
358#127C2412yes—
359#125—24no—
360#125—42no—
361#125—44no—
362#125—44no—
363#121—24no—
364#121—24no—
365#121—24no—
366#121—24no—
367#121—44no—
368#121—44no—
369#121—44no—
370#121—44no—
371#121—42no—
372#121—42no—
373#121—42no—
374#121—42no—
375#120—44no—
376#120—44no—
377C4×Q8—21no—
378C4×Q8—21no—
379C4×Q8—21no—
380C4×Q8—21no—
381C4×Q8—24no—
382C4×Q8—24no—
383C4×Q8—42no—
384C4×Q8—42no—
385C4×Q8C2×D412yes—
386C4×Q8C2×D412yes—
387C4×Q8C2412yes—
388C4×Q8C2412yes—
389C4×D4—24no—
390C4×D4—24no—
391C4×D4—21no—
392C4×D4—21no—
393C4×D4—21no—
394C4×D4—21no—
395C4×D4—42no—
396C4×D4—42no—
397C4×D4C2×D412yes—
398C4×D4C2×D412yes—
399C4×D4C2412yes—
400C4×D4C2412yes—
401C2×C4⋊C4—21no—
402C2×C4⋊C4—21no—
403C2×C4⋊C4—21no—
404C2×C4⋊C4—21no—
405C2×C4⋊C4—41no—
406C2×C4⋊C4—41no—
407C2×C4⋊C4—41no—
408C2×C4⋊C4C2×D411yescharacteristic
409C2×C4⋊C4C2×D411yescharacteristic
410C2×C4⋊C4C2×D411yescharacteristic
411C2×C4⋊C4C2×D411yescharacteristic
412C2×C22⋊C4—21no—
413C2×C22⋊C4—21no—
414C2×C22⋊C4—41no—
415C2×C22⋊C4—41no—
416C2×C22⋊C4—41no—
417C2×C42—21no—
418C2×C42—21no—
419C2×C42—41no—
420C2×C42C2411yescharacteristic
421#107—24no—
422#106C2×D414yes—
423#106C2×D414yes—
424C4⋊C8—24no—
425C4⋊C8—24no—
426C4⋊C8—21no—
427C4⋊C8—21no—
428C4⋊C8—21no—
429C4⋊C8—21no—
430C4⋊C8C2412yes—
431C4⋊C8C2412yes—
432C4⋊C8C2412yes—
433C4⋊C8C2412yes—
434#103—24no—
435#103C2×D414yes—
436#103C2×D414yes—
437#102—24no—
438#102—24no—
439#102—24no—
440#102—24no—
441#102—24no—
442#102—24no—
443#102—24no—
444#102—24no—
445#102—24no—
446#102—44no—
447#102C2×D414yes—
448#102C2×D414yes—
449C22⋊C8—24no—
450C22⋊C8—24no—
451#97—24no—
452C4×C8—24no—
453C4×C8—21no—
454C4×C8C2×D412yes—
455C4×C8C2×D412yes—
456C4×C8C2412yes—
457C4×C8C2412yes—
458C4×C8C2412yes—
459C24—21no—
460C24—21no—
461C24—44no—
462C24—41no—
463C24—41no—
464C24—41no—
465C24—84no—
466C24—84no—
467C24—162no—
468#41—48no—
469#41—48no—
470#41—84no—
471#41—84no—
472#41—88no—
473#41—88no—
474C2×Q8—21no—
475C2×Q8—21no—
476C2×Q8—22no—
477C2×Q8—22no—
478C2×Q8—22no—
479C2×Q8—22no—
480C2×Q8—41no—
481C2×Q8—42no—
482C2×Q8—42no—
483C2×Q8AGL(1,ℤ/8)14yescomplemented
484C2×Q8C22×D412yes—
485C2×Q8C22×D412yes—
486C2×D4—21no—
487C2×D4—21no—
488C2×D4—22no—
489C2×D4—22no—
490C2×D4—22no—
491C2×D4—22no—
492C2×D4—22no—
493C2×D4—22no—
494C2×D4—22no—
495C2×D4—22no—
496C2×D4—22no—
497C2×D4—22no—
498C2×D4—22no—
499C2×D4—22no—
500C2×D4—22no—
501C2×D4—44no—
502C2×D4—44no—
503C2×D4—44no—
504C2×D4—44no—
505C2×D4—44no—
506C2×D4—44no—
507C2×D4—48no—
508C2×D4—48no—
509C2×D4—41no—
510C2×D4—41no—
511C2×D4—41no—
512C2×D4—41no—
513C2×D4—41no—
514C2×D4—41no—
515C2×D4—41no—
516C2×D4—41no—
517C2×D4—41no—
518C2×D4—42no—
519C2×D4—42no—
520C2×D4—42no—
521C2×D4—42no—
522C2×D4—42no—
523C2×D4—42no—
524C2×D4—42no—
525C2×D4—42no—
526C2×D4—42no—
527C2×D4—42no—
528C2×D4—42no—
529C2×D4—42no—
530C2×D4—84no—
531C2×D4—82no—
532C2×D4—82no—
533C2×D4—82no—
534C2×D4—84no—
535C2×D4—84no—
536C2×D4—88no—
537C2×D4—88no—
538C2×D4—84no—
539C2×D4—84no—
540C2×D4—84no—
541C2×D4—162no—
542C2×D4—162no—
543C2×D4C22×D412yes—
544C2×D4C22×D412yes—
545C22×C4—21no—
546C22×C4—21no—
547C22×C4—21no—
548C22×C4—21no—
549C22×C4—21no—
550C22×C4—21no—
551C22×C4—22no—
552C22×C4—22no—
553C22×C4—22no—
554C22×C4—22no—
555C22×C4—44no—
556C22×C4—44no—
557C22×C4—42no—
558C22×C4—42no—
559C22×C4—42no—
560C22×C4—42no—
561C22×C4—41no—
562C22×C4—84no—
563C22×C4—84no—
564C22×C4C22×D411yescharacteristic
565C22×C4C22×D411yescharacteristic
566C22×C4H(5,𝔽2)11yescharacteristic
567SD16—28no—
568SD16—28no—
569SD16—48no—
570SD16—48no—
571SD16—48no—
572SD16—48no—
573SD16—84no—
574SD16—84no—
575SD16—84no—
576D8—48no—
577D8—48no—
578D8—48no—
579D8—48no—
580D8—84no—
581D8—84no—
582D8—88no—
583M16—48no—
584M16—48no—
585C2×C8—22no—
586C2×C8—22no—
587C2×C8—22no—
588C2×C8—22no—
589C2×C8—22no—
590C2×C8—22no—
591C2×C8—22no—
592C2×C8—22no—
593C2×C8—42no—
594C2×C8—42no—
595C2×C8—42no—
596C2×C8—42no—
597C2×C8—42no—
598C2×C8AGL(1,ℤ/8)14yescomplemented
599C2×C8C22×D412yes—
600C2×C8C22×D412yes—
601C2×C8C22×D412yes—
602C2×C8C22×D412yes—
603C4⋊C4—22no—
604C4⋊C4—22no—
605C4⋊C4—21no—
606C4⋊C4—21no—
607C4⋊C4—21no—
608C4⋊C4—21no—
609C4⋊C4—22no—
610C4⋊C4—22no—
611C4⋊C4—22no—
612C4⋊C4—22no—
613C4⋊C4—44no—
614C4⋊C4—44no—
615C4⋊C4—44no—
616C4⋊C4—41no—
617C4⋊C4—41no—
618C4⋊C4C22×D412yes—
619C4⋊C4C22×D412yes—
620C4⋊C4C22×D412yes—
621C4⋊C4C22×D412yes—
622C22⋊C4—22no—
623C22⋊C4—22no—
624C22⋊C4—22no—
625C22⋊C4—22no—
626C22⋊C4—44no—
627C22⋊C4—44no—
628C22⋊C4—44no—
629C42—22no—
630C42—22no—
631C42—22no—
632C42—22no—
633C42—44no—
634C42C22×D411yescharacteristic
635C42C22×D411yescharacteristic
636C42H(5,𝔽2)11yescharacteristic
637C42C2511yescharacteristic
638C23—22no—
639C23—22no—
640C23—42no—
641C23—42no—
642C23—42no—
643C23—42no—
644C23—42no—
645C23—42no—
646C23—42no—
647C23—42no—
648C23—42no—
649C23—88no—
650C23—88no—
651C23—82no—
652C23—82no—
653C23—82no—
654C23—82no—
655C23—82no—
656C23—82no—
657C23—82no—
658C23—82no—
659C23—82no—
660C23—164no—
661C23—1616no—
662C23D4211yescharacteristic
663Q8—24no—
664Q8—22no—
665Q8—22no—
666Q8—22no—
667Q8—42no—
668Q8—42no—
669Q8—42no—
670Q8—82no—
671Q8C2×AGL(1,ℤ/8)14yescomplemented
672D4—22no—
673D4—22no—
674D4—22no—
675D4—22no—
676D4—42no—
677D4—42no—
678D4—42no—
679D4—42no—
680D4—42no—
681D4—42no—
682D4—42no—
683D4—42no—
684D4—42no—
685D4—42no—
686D4—42no—
687D4—42no—
688D4—42no—
689D4—42no—
690D4—88no—
691D4—82no—
692D4—82no—
693D4—82no—
694D4—88no—
695D4—88no—
696D4—88no—
697D4—82no—
698D4—82no—
699D4—82no—
700D4—82no—
701D4—82no—
702D4—82no—
703D4—161no—
704D4—161no—
705D4—161no—
706D4—164no—
707D4—164no—
708C2×C4—22no—
709C2×C4—24no—
710C2×C4—22no—
711C2×C4—22no—
712C2×C4—22no—
713C2×C4—22no—
714C2×C4—22no—
715C2×C4—22no—
716C2×C4—42no—
717C2×C4—42no—
718C2×C4—42no—
719C2×C4—42no—
720C2×C4—42no—
721C2×C4—44no—
722C2×C4—44no—
723C2×C4—42no—
724C2×C4—42no—
725C2×C4—42no—
726C2×C4—42no—
727C2×C4—42no—
728C2×C4—88no—
729C2×C4—88no—
730C2×C4—82no—
731C2×C4D4211yescharacteristic
732C2×C4D4211yescharacteristic
733C2×C4D4211yescharacteristic
734C2×C4C2×AGL(1,ℤ/8)12yes—
735C2×C4C2×AGL(1,ℤ/8)12yes—
736C2×C4#57612yes—
737C2×C4#57712yes—
738C2×C4C23×D411yescharacteristic
739C2×C4C23×D411yescharacteristic
740C2×C4C2×H(5,𝔽2)11yescharacteristic
741C8—22no—
742C8—22no—
743C8—22no—
744C8—42no—
745C8—42no—
746C8—42no—
747C8—42no—
748C8—42no—
749C8C2×AGL(1,ℤ/8)14yescomplemented
750C22—42no—
751C22—42no—
752C22—42no—
753C22—42no—
754C22—42no—
755C22—42no—
756C22—84no—
757C22—84no—
758C22—82no—
759C22—82no—
760C22—82no—
761C22—82no—
762C22—82no—
763C22—82no—
764C22—82no—
765C22—82no—
766C22—82no—
767C22—1616no—
768C22—164no—
769C22—164no—
770C22—164no—
771C22#326512yes—
772C22#327412yes—
773C22#328812yes—
774C22C2×D4211yescharacteristic
775C4—24no—
776C4—21no—
777C4—21no—
778C4—42no—
779C4—42no—
780C4—42no—
781C4—42no—
782C4—42no—
783C4—82no—
784C4#326512yes—
785C4#327412yes—
786C4C22×AGL(1,ℤ/8)11yescharacteristic
787C4C22×AGL(1,ℤ/8)11yescharacteristic
788C4C2×#57611yescharacteristic
789C4C2×#57711yescharacteristic
790C2—82no—
791C2—82no—
792C2—162no—
793C2—162no—
794C2—162no—
795C2#2020214yesdirect product factor
796C2C2×#326511yescharacteristic
797C2C2×#327411yescharacteristic
798C2C2×#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×#3392C2semidirect
2. C2×#3368C2semidirect
3. C2×#3274C2semidirect
4. C2×#3274C2semidirect
5. #20202C2direct (N × H)
6. C2×#1721C2semidirect
7. C2×#1688C2semidirect
8. C2×#1701C2semidirect
9. C2×#1685C2semidirect
10. C2×#1668C2semidirect
11. C2×#1621C2semidirect
12. C2×#1621C2semidirect
13. C2×#1626C2semidirect
14. C2×#1639C2semidirect
15. C2×#1592C2semidirect
16. C2×#1583C2semidirect
19. C2×#557C22semidirect
24. #3392C22semidirect
26. #3368C22semidirect
29. #3274C22semidirect
30. #3274C22semidirect
33. C2×#493C22semidirect
35. C2×#492C22semidirect
38. C2×#486C22semidirect
47. C2×#460C22semidirect
48. C2×#460C22semidirect
57. C2×#446C22semidirect
58. C2×C8×Q8C22semidirect
65. #1721C22semidirect
66. #1701C22semidirect
67. #1688C22semidirect
68. #1685C22semidirect
69. #1668C22semidirect
70. #1639C22semidirect
71. #1626C22semidirect
72. #1621C22semidirect
73. #1621C22semidirect
74. #1592C22semidirect
75. #1583C22semidirect
76. C2×#335C22semidirect
77. C2×#334C22semidirect
78. C2×#332C22semidirect
80. C2×#331C22semidirect
81. C2×#331C22semidirect
82. C2×Q8⋊C8C22semidirect
83. C2×Q8⋊C8C22semidirect
86. C2×#322C22semidirect
116. #557C23semidirect
158. #493C23semidirect
161. #492C23semidirect
166. #486C23semidirect
183. #460C23semidirect
184. #460C23semidirect
194. #446C23semidirect
196. C8×Q8C23semidirect
238. #335C23semidirect
239. #334C23semidirect
240. #332C23semidirect
242. #331C23semidirect
243. #331C23semidirect
244. Q8⋊C8C23semidirect
245. Q8⋊C8C23semidirect
248. #322C23semidirect
483. C2×Q8AGL(1,ℤ/8)semidirect
598. C2×C8AGL(1,ℤ/8)semidirect
671. Q8C2×AGL(1,ℤ/8)semidirect
749. C8C2×AGL(1,ℤ/8)semidirect
795. C2#20202direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#33922
C2×#33682
C2×#32742
#202022
C2×#17212
C2×#16882
C2×#17012
C2×#16852
C2×#16682
C2×#16212
C2×#16262
C2×#16392
C2×#15922
C2×#15832