Finite Group Databasebeta

← C2×#20159 #6359509

Subgroups — C2×#20159 #6359509

Order 512.

2131 conjugacy classes of subgroups.

The subgroup lattice has 807 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3325C211yesmaximal, characteristic, complemented
2C2×#3325C211yesmaximal, characteristic, complemented
3C2×#3294C211yesmaximal, characteristic, complemented
4C2×#3272C211yesmaximal, characteristic, complemented
5#20159C2116yesmaximal, direct product factor
6C2×#1717C211yesmaximal, characteristic, complemented
7C2×#1701C211yesmaximal, characteristic, complemented
8C2×#1697C211yesmaximal, characteristic, complemented
9C2×#1685C211yesmaximal, characteristic, complemented
10C2×#1677C211yesmaximal, characteristic, complemented
11C2×#1646C211yesmaximal, characteristic, complemented
12C2×#1635C211yesmaximal, characteristic, complemented
13C2×#1619C211yesmaximal, characteristic, complemented
14C2×#1619C211yesmaximal, characteristic, complemented
15C2×#1594C211yesmaximal, characteristic, complemented
16C2×#1581C211yesmaximal, characteristic, complemented
17C22×AGL(1,ℤ/8)—21no—
18C2×#555C2211yescharacteristic
19C2×#547C2211yescharacteristic
20C2×D42C2211yescharacteristic, complemented
21C2×D42C2211yescharacteristic, complemented
22#3325—24no—
23#3325—24no—
24#3325C2218yescomplemented
25#3325C2218yescomplemented
26#3294—24no—
27#3294C2218yescomplemented
28#3272—24no—
29#3272C2218yescomplemented
30C2×#493C2211yescharacteristic
31C2×#492C2211yescharacteristic, complemented
32C2×#487C2211yescharacteristic, complemented
33C2×#486C2211yescharacteristic, complemented
34C2×#486C2211yescharacteristic, complemented
35C2×#486C2211yescharacteristic, complemented
36C2×#482—21no—
37C2×#482—21no—
38C2×#480—21no—
39C2×#476C2211yescharacteristic, complemented
40C2×#476C2211yescharacteristic, complemented
41C2×#474C2211yescharacteristic, complemented
42C2×#469—21no—
43C2×#469—21no—
44C2×#468—21no—
45C2×#466—21no—
46C2×#461C2211yescharacteristic, complemented
47C2×#459C2211yescharacteristic
48C2×#459C2211yescharacteristic
49C2×#459C2211yescharacteristic
50C2×#459C2211yescharacteristic
51C2×#449—21no—
52C2×#450—21no—
53C2×#447—21no—
54C2×#447—21no—
55C2×#447—21no—
56C2×C4×D8C2211yescharacteristic
57C2×C4×D8C2211yescharacteristic
58C2×#436C2211yescharacteristic, complemented
59C2×#436C2211yescharacteristic, complemented
60C2×#436C2211yescharacteristic, complemented
61C2×C8×D4C2211yescharacteristic, complemented
62C2×#418—21no—
63C2×#418—21no—
64C22×#102—21no—
65#1717C2218yescomplemented
66#1701C2218yescomplemented
67#1697C2218yescomplemented
68#1685C2218yescomplemented
69#1677C2218yescomplemented
70#1646C2218yescomplemented
71#1635C2218yescomplemented
72#1619C2218yescomplemented
73#1619C2218yescomplemented
74#1594C2218yescomplemented
75#1581C2218yescomplemented
76C2×#335C2211yescharacteristic, complemented
77C2×#334C2211yescharacteristic, complemented
78C2×#333C2211yescharacteristic, complemented
79C2×#332C2211yescharacteristic, complemented
80C2×#331C2211yescharacteristic, complemented
81C2×#331C2211yescharacteristic, complemented
82C2×D4⋊C8C2211yescharacteristic, complemented
83C2×D4⋊C8C2211yescharacteristic, complemented
84C2×D4⋊C8C2211yescharacteristic, complemented
85C2×D4⋊C8C2211yescharacteristic, complemented
86C2×#322C2211yescharacteristic, complemented
87C22×#41—21no—
88C23×D4—21no—
89C23×D4—21no—
90C23×D4—21no—
91C23×D4—21no—
92C2×AGL(1,ℤ/8)—28no—
93C2×AGL(1,ℤ/8)—48no—
94C22×SD16—21no—
95C22×SD16—21no—
96C22×SD16—21no—
97C22×D8—21no—
98C22×D8—21no—
99C22×D8—21no—
100C22×D8—21no—
101C22×D8—41no—
102C22×D8D411yescharacteristic
103C22×D8D411yescharacteristic
104C22×M16—21no—
105C22×M16—21no—
106C22×M16—21no—
107C23×C8—21no—
108#555—22no—
109#555—22no—
110#555—41no—
111#555C2314yes—
112#547—22no—
113#547—22no—
114#547—41no—
115#547C2314yes—
116D42—22no—
117D42—22no—
118D42—22no—
119D42—22no—
120D42—41no—
121D42—41no—
122D42C2314yescomplemented
123D42C2314yescomplemented
124C2×C4⋊Q8C2311yescharacteristic
125C2×C4⋊Q8C2311yescharacteristic
126C2×#127C2311yescharacteristic
127C2×#127C2311yescharacteristic
128C2×#124—41no—
129C2×#123—41no—
130C2×C22⋊Q8—21no—
131C2×#121—21no—
132C2×#121—21no—
133C2×#121—21no—
134C2×#121—21no—
135C2×#121—21no—
136C2×#121—21no—
137C2×#121—21no—
138C2×#120—41no—
139C2×#120—41no—
140C2×C4×D4C2311yescharacteristic
141C2×C4×D4C2311yescharacteristic
142C2×C4×D4C2311yescharacteristic
143C2×C4×D4C2311yescharacteristic
144C2×#117—21no—
145C2×#117—21no—
146C22×C4⋊C4—21no—
147#493—41no—
148#493C2314yes—
149#492—22no—
150#492C2314yescomplemented
151#487—41no—
152#487C2314yescomplemented
153#486—22no—
154#486—22no—
155#486—22no—
156#486C2314yescomplemented
157#486C2314yescomplemented
158#486C2314yescomplemented
159#482—28no—
160#482—28no—
161#480—28no—
162#476—22no—
163#476—22no—
164#476C2314yescomplemented
165#476C2314yescomplemented
166#474—22no—
167#474C2314yescomplemented
168#469—28no—
169#469—28no—
170#468—28no—
171#466—28no—
172#461—22no—
173#461C2314yescomplemented
174#459—22no—
175#459—22no—
176#459—22no—
177#459—22no—
178#459C2314yes—
179#459C2314yes—
180#459C2314yes—
181#459C2314yes—
182#450—28no—
183#449—28no—
184#447—28no—
185#447—28no—
186#447—28no—
187C4×D8D414yes—
188C4×D8D414yes—
189C4×D8C2314yes—
190C4×D8C2314yes—
191#436—22no—
192#436—22no—
193#436—22no—
194#436C2314yescomplemented
195#436C2314yescomplemented
196#436C2314yescomplemented
197C8×D4—22no—
198C8×D4C2314yescomplemented
199C2×#107—21no—
200C2×#107D411yescharacteristic
201C2×#107D411yescharacteristic
202C2×#106—21no—
203C2×#106—21no—
204C2×C4⋊C8C2311yescharacteristic
205C2×C4⋊C8C2311yescharacteristic
206C2×C4⋊C8C2311yescharacteristic
207C2×C4⋊C8C2311yescharacteristic
208#418—28no—
209#418—28no—
210C2×#103—21no—
211C2×#103—41no—
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×#102D411yescharacteristic
227C2×#102D411yescharacteristic
228C2×#102D411yescharacteristic
229C2×#102D411yescharacteristic
230C2×C22⋊C8—21no—
231C2×C22⋊C8—21no—
232C2×C22⋊C8—21no—
233C2×C22⋊C8—21no—
234C2×C4×C8C2311yescharacteristic
235C2×C4×C8C2311yescharacteristic
236C2×C4×C8C2311yescharacteristic
237#335C2314yescomplemented
238#334C2314yescomplemented
239#333C2314yescomplemented
240#332C2314yescomplemented
241#331C2314yescomplemented
242#331C2314yescomplemented
243D4⋊C8C2314yescomplemented
244D4⋊C8C2314yescomplemented
245D4⋊C8C2314yescomplemented
246D4⋊C8C2314yescomplemented
247#322C2314yescomplemented
248C25—41no—
249C25—41no—
250C2×#41—24no—
251C2×#41—42no—
252C2×#41—44no—
253C2×#41—82no—
254C22×Q8—21no—
255C22×Q8—21no—
256C22×D4—24no—
257C22×D4—24no—
258C22×D4—24no—
259C22×D4—24no—
260C22×D4—21no—
261C22×D4—21no—
262C22×D4—21no—
263C22×D4—21no—
264C22×D4—21no—
265C22×D4—21no—
266C22×D4—42no—
267C22×D4—42no—
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—44no—
277C22×D4—44no—
278C22×D4—41no—
279C22×D4—41no—
280C22×D4—82no—
281C22×D4—82no—
282C22×D4—82no—
283C22×D4—82no—
284C22×D4C2×D411yescharacteristic
285C22×D4C2×D411yescharacteristic
286C22×D4C2×D411yescharacteristic
287C22×D4C2×D411yescharacteristic
288C23×C4—21no—
289C23×C4—21no—
290C23×C4—21no—
291C23×C4—21no—
292C23×C4—41no—
293AGL(1,ℤ/8)—432no—
294C2×SD16—24no—
295C2×SD16—24no—
296C2×SD16—24no—
297C2×SD16—44no—
298C2×SD16—44no—
299C2×SD16—82no—
300C2×D8—24no—
301C2×D8—24no—
302C2×D8—24no—
303C2×D8—24no—
304C2×D8—24no—
305C2×D8—42no—
306C2×D8—44no—
307C2×D8—44no—
308C2×D8—82no—
309C2×D8—82no—
310C2×D8—82no—
311C2×D8—84no—
312C2×D8C2×D414yes—
313C2×D8C2×D414yes—
314C2×M16—24no—
315C2×M16—24no—
316C2×M16—24no—
317C2×M16—44no—
318C2×M16—82no—
319C2×M16—82no—
320C22×C8—21no—
321C22×C8—21no—
322C22×C8—21no—
323C22×C8—21no—
324C22×C8—21no—
325C22×C8—24no—
326C22×C8—82no—
327C22×C8C2×D411yescharacteristic
328C22×C8C2×D411yescharacteristic
329C22×C8C2×D411yescharacteristic
330C22×C8C2×D411yescharacteristic
331C4⋊Q8—21no—
332C4⋊Q8—21no—
333C4⋊Q8—21no—
334C4⋊Q8—21no—
335C4⋊Q8—21no—
336C4⋊Q8—21no—
337C4⋊Q8C2412yes—
338C4⋊Q8C2412yes—
339#127—21no—
340#127—21no—
341#127—21no—
342#127—21no—
343#127—21no—
344#127—21no—
345#127C2412yes—
346#127C2412yes—
347#124—44no—
348#124—44no—
349#123—44no—
350#123—44no—
351C22⋊Q8—24no—
352C22⋊Q8—42no—
353#121—24no—
354#121—24no—
355#121—24no—
356#121—24no—
357#121—24no—
358#121—24no—
359#121—24no—
360#121—42no—
361#121—42no—
362#121—42no—
363#121—42no—
364#121—42no—
365#121—42no—
366#121—42no—
367#120—44no—
368#120—44no—
369#120—44no—
370#120—44no—
371C4×D4—21no—
372C4×D4—21no—
373C4×D4—21no—
374C4×D4—21no—
375C4×D4—21no—
376C4×D4—21no—
377C4×D4—21no—
378C4×D4—21no—
379C4×D4C2×D412yes—
380C4×D4C2×D412yes—
381C4×D4C2×D412yes—
382C4×D4C2×D412yes—
383C4×D4C2412yes—
384C4×D4C2412yes—
385C4×D4C2412yes—
386C4×D4C2412yes—
387#117—24no—
388#117—24no—
389#117—42no—
390#117—42no—
391C2×C4⋊C4—21no—
392C2×C4⋊C4—21no—
393C2×C4⋊C4—21no—
394C2×C4⋊C4—21no—
395C2×C4⋊C4—24no—
396C2×C4⋊C4—42no—
397C2×C4⋊C4—41no—
398C2×C4⋊C4C2×D411yescharacteristic
399C2×C4⋊C4C2×D411yescharacteristic
400C2×C4⋊C4C2×D411yescharacteristic
401C2×C4⋊C4C2×D411yescharacteristic
402C2×C22⋊C4—21no—
403C2×C22⋊C4—21no—
404C2×C22⋊C4—21no—
405C2×C22⋊C4—21no—
406C2×C22⋊C4—41no—
407C2×C22⋊C4—41no—
408C2×C22⋊C4—41no—
409C2×C22⋊C4—41no—
410C2×C22⋊C4—41no—
411C2×C42—41no—
412C2×C42C2411yescharacteristic
413#107—24no—
414#107C2×D414yes—
415#107C2×D414yes—
416#106—24no—
417#106—24no—
418C4⋊C8—21no—
419C4⋊C8—21no—
420C4⋊C8—21no—
421C4⋊C8—21no—
422C4⋊C8C2412yes—
423C4⋊C8C2412yes—
424C4⋊C8C2412yes—
425C4⋊C8C2412yes—
426#103—24no—
427#103—44no—
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#102—24no—
440#102—24no—
441#102C2×D414yes—
442#102C2×D414yes—
443#102C2×D414yes—
444#102C2×D414yes—
445C22⋊C8—24no—
446C22⋊C8—24no—
447C22⋊C8—24no—
448C22⋊C8—24no—
449C4×C8—21no—
450C4×C8C2×D412yes—
451C4×C8C2×D412yes—
452C4×C8C2412yes—
453C4×C8C2412yes—
454C4×C8C2412yes—
455C24—21no—
456C24—21no—
457C24—21no—
458C24—21no—
459C24—44no—
460C24—44no—
461C24—41no—
462C24—41no—
463C24—84no—
464C24—84no—
465C24—84no—
466C24—84no—
467C24—162no—
468C24—162no—
469#41—48no—
470#41—84no—
471#41—88no—
472C2×Q8—22no—
473C2×Q8—22no—
474C2×Q8—41no—
475C2×Q8—41no—
476C2×Q8—42no—
477C2×Q8—42no—
478C2×Q8—82no—
479C2×D4—21no—
480C2×D4—21no—
481C2×D4—21no—
482C2×D4—21no—
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—22no—
492C2×D4—22no—
493C2×D4—22no—
494C2×D4—22no—
495C2×D4—22no—
496C2×D4—44no—
497C2×D4—44no—
498C2×D4—44no—
499C2×D4—44no—
500C2×D4—48no—
501C2×D4—48no—
502C2×D4—48no—
503C2×D4—48no—
504C2×D4—44no—
505C2×D4—44no—
506C2×D4—41no—
507C2×D4—41no—
508C2×D4—41no—
509C2×D4—41no—
510C2×D4—41no—
511C2×D4—41no—
512C2×D4—42no—
513C2×D4—42no—
514C2×D4—42no—
515C2×D4—42no—
516C2×D4—42no—
517C2×D4—42no—
518C2×D4—42no—
519C2×D4—42no—
520C2×D4—82no—
521C2×D4—82no—
522C2×D4—84no—
523C2×D4—84no—
524C2×D4—84no—
525C2×D4—84no—
526C2×D4—88no—
527C2×D4—88no—
528C2×D4—88no—
529C2×D4—88no—
530C2×D4—84no—
531C2×D4—84no—
532C2×D4—84no—
533C2×D4—84no—
534C2×D4—84no—
535C2×D4—162no—
536C2×D4AGL(1,ℤ/8)14yes—
537C2×D4C22×D412yes—
538C2×D4C22×D412yes—
539C2×D4C22×D412yes—
540C2×D4C22×D412yes—
541C22×C4—21no—
542C22×C4—21no—
543C22×C4—21no—
544C22×C4—21no—
545C22×C4—22no—
546C22×C4—22no—
547C22×C4—22no—
548C22×C4—22no—
549C22×C4—22no—
550C22×C4—22no—
551C22×C4—22no—
552C22×C4—22no—
553C22×C4—44no—
554C22×C4—42no—
555C22×C4—42no—
556C22×C4—42no—
557C22×C4—42no—
558C22×C4—42no—
559C22×C4—42no—
560C22×C4—42no—
561C22×C4—42no—
562C22×C4—41no—
563C22×C4—41no—
564C22×C4—84no—
565C22×C4C22×D411yescharacteristic
566C22×C4C22×D411yescharacteristic
567C22×C4H(5,𝔽2)11yescharacteristic
568SD16—48no—
569SD16—48no—
570SD16—84no—
571D8—28no—
572D8—44no—
573D8—48no—
574D8—84no—
575D8—84no—
576D8—84no—
577D8—88no—
578M16—48no—
579M16—84no—
580M16—84no—
581C2×C8—22no—
582C2×C8—22no—
583C2×C8—22no—
584C2×C8—22no—
585C2×C8—22no—
586C2×C8—22no—
587C2×C8—22no—
588C2×C8—22no—
589C2×C8—22no—
590C2×C8—42no—
591C2×C8—42no—
592C2×C8—42no—
593C2×C8—42no—
594C2×C8—42no—
595C2×C8—84no—
596C2×C8C22×D412yes—
597C2×C8C22×D412yes—
598C2×C8C22×D412yes—
599C2×C8C22×D412yes—
600C4⋊C4—21no—
601C4⋊C4—21no—
602C4⋊C4—21no—
603C4⋊C4—21no—
604C4⋊C4—22no—
605C4⋊C4—22no—
606C4⋊C4—22no—
607C4⋊C4—22no—
608C4⋊C4—44no—
609C4⋊C4—41no—
610C4⋊C4—41no—
611C4⋊C4—41no—
612C4⋊C4—41no—
613C4⋊C4C22×D412yes—
614C4⋊C4C22×D412yes—
615C4⋊C4C22×D412yes—
616C4⋊C4C22×D412yes—
617C22⋊C4—22no—
618C22⋊C4—22no—
619C22⋊C4—22no—
620C22⋊C4—22no—
621C22⋊C4—22no—
622C22⋊C4—22no—
623C22⋊C4—22no—
624C22⋊C4—22no—
625C22⋊C4—44no—
626C22⋊C4—44no—
627C22⋊C4—44no—
628C22⋊C4—44no—
629C22⋊C4—44no—
630C42—44no—
631C42C22×D411yescharacteristic
632C42C22×D411yescharacteristic
633C42H(5,𝔽2)11yescharacteristic
634C42C2511yescharacteristic
635C23—22no—
636C23—24no—
637C23—22no—
638C23—22no—
639C23—22no—
640C23—42no—
641C23—42no—
642C23—42no—
643C23—42no—
644C23—42no—
645C23—42no—
646C23—42no—
647C23—42no—
648C23—42no—
649C23—42no—
650C23—42no—
651C23—42no—
652C23—42no—
653C23—88no—
654C23—88no—
655C23—88no—
656C23—88no—
657C23—82no—
658C23—82no—
659C23—82no—
660C23—82no—
661C23—82no—
662C23—82no—
663C23—164no—
664C23—164no—
665C23—1616no—
666C23—1616no—
667C23D4211yescharacteristic
668Q8—42no—
669Q8—42no—
670Q8—82no—
671Q8—82no—
672Q8—161no—
673D4—24no—
674D4—22no—
675D4—22no—
676D4—22no—
677D4—22no—
678D4—22no—
679D4—22no—
680D4—22no—
681D4—42no—
682D4—42no—
683D4—42no—
684D4—42no—
685D4—42no—
686D4—42no—
687D4—42no—
688D4—42no—
689D4—42no—
690D4—42no—
691D4—42no—
692D4—82no—
693D4—82no—
694D4—88no—
695D4—88no—
696D4—88no—
697D4—88no—
698D4—88no—
699D4—82no—
700D4—82no—
701D4—82no—
702D4—82no—
703D4—161no—
704D4—161no—
705D4—164no—
706D4C2×AGL(1,ℤ/8)14yes—
707C2×C4—22no—
708C2×C4—22no—
709C2×C4—22no—
710C2×C4—22no—
711C2×C4—22no—
712C2×C4—42no—
713C2×C4—42no—
714C2×C4—42no—
715C2×C4—42no—
716C2×C4—44no—
717C2×C4—44no—
718C2×C4—44no—
719C2×C4—44no—
720C2×C4—42no—
721C2×C4—42no—
722C2×C4—42no—
723C2×C4—42no—
724C2×C4—42no—
725C2×C4—42no—
726C2×C4—42no—
727C2×C4—42no—
728C2×C4—42no—
729C2×C4—42no—
730C2×C4—88no—
731C2×C4—82no—
732C2×C4—82no—
733C2×C4D4211yescharacteristic
734C2×C4D4211yescharacteristic
735C2×C4D4211yescharacteristic
736C2×C4C2×AGL(1,ℤ/8)12yes—
737C2×C4#57512yes—
738C2×C4#57612yes—
739C2×C4#57612yes—
740C2×C4C23×D411yescharacteristic
741C2×C4C23×D411yescharacteristic
742C2×C4C2×H(5,𝔽2)11yescharacteristic
743C8—22no—
744C8—22no—
745C8—22no—
746C8—22no—
747C8—42no—
748C8—42no—
749C8—42no—
750C8—42no—
751C8—42no—
752C22—24no—
753C22—42no—
754C22—42no—
755C22—48no—
756C22—42no—
757C22—42no—
758C22—42no—
759C22—42no—
760C22—42no—
761C22—42no—
762C22—42no—
763C22—42no—
764C22—42no—
765C22—84no—
766C22—84no—
767C22—84no—
768C22—82no—
769C22—82no—
770C22—82no—
771C22—82no—
772C22—82no—
773C22—82no—
774C22—1616no—
775C22—1616no—
776C22—164no—
777C22—164no—
778C22#326412yes—
779C22#327312yes—
780C22#328812yes—
781C22C2×D4211yescharacteristic
782C4—21no—
783C4—21no—
784C4—42no—
785C4—42no—
786C4—42no—
787C4—42no—
788C4—82no—
789C4—82no—
790C4#326412yes—
791C4#327312yes—
792C4C22×AGL(1,ℤ/8)11yescharacteristic
793C4C2×#57511yescharacteristic
794C4C2×#57611yescharacteristic
795C4C2×#57611yescharacteristic
796C2—44no—
797C2—82no—
798C2—82no—
799C2—82no—
800C2—162no—
801C2—162no—
802C2#2015914yesdirect product factor
803C2C2×#326411yescharacteristic
804C2C2×#327311yescharacteristic
805C2C2×#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×#3325C2semidirect
2. C2×#3325C2semidirect
3. C2×#3294C2semidirect
4. C2×#3272C2semidirect
5. #20159C2direct (N × H)
6. C2×#1717C2semidirect
7. C2×#1701C2semidirect
8. C2×#1697C2semidirect
9. C2×#1685C2semidirect
10. C2×#1677C2semidirect
11. C2×#1646C2semidirect
12. C2×#1635C2semidirect
13. C2×#1619C2semidirect
14. C2×#1619C2semidirect
15. C2×#1594C2semidirect
16. C2×#1581C2semidirect
20. C2×D42C22semidirect
21. C2×D42C22semidirect
24. #3325C22semidirect
25. #3325C22semidirect
27. #3294C22semidirect
29. #3272C22semidirect
31. C2×#492C22semidirect
32. C2×#487C22semidirect
33. C2×#486C22semidirect
34. C2×#486C22semidirect
35. C2×#486C22semidirect
39. C2×#476C22semidirect
40. C2×#476C22semidirect
41. C2×#474C22semidirect
46. C2×#461C22semidirect
58. C2×#436C22semidirect
59. C2×#436C22semidirect
60. C2×#436C22semidirect
61. C2×C8×D4C22semidirect
65. #1717C22semidirect
66. #1701C22semidirect
67. #1697C22semidirect
68. #1685C22semidirect
69. #1677C22semidirect
70. #1646C22semidirect
71. #1635C22semidirect
72. #1619C22semidirect
73. #1619C22semidirect
74. #1594C22semidirect
75. #1581C22semidirect
76. C2×#335C22semidirect
77. C2×#334C22semidirect
78. C2×#333C22semidirect
79. C2×#332C22semidirect
80. C2×#331C22semidirect
81. C2×#331C22semidirect
82. C2×D4⋊C8C22semidirect
83. C2×D4⋊C8C22semidirect
84. C2×D4⋊C8C22semidirect
85. C2×D4⋊C8C22semidirect
86. C2×#322C22semidirect
122. D42C23semidirect
123. D42C23semidirect
150. #492C23semidirect
152. #487C23semidirect
156. #486C23semidirect
157. #486C23semidirect
158. #486C23semidirect
164. #476C23semidirect
165. #476C23semidirect
167. #474C23semidirect
173. #461C23semidirect
194. #436C23semidirect
195. #436C23semidirect
196. #436C23semidirect
198. C8×D4C23semidirect
237. #335C23semidirect
238. #334C23semidirect
239. #333C23semidirect
240. #332C23semidirect
241. #331C23semidirect
242. #331C23semidirect
243. D4⋊C8C23semidirect
244. D4⋊C8C23semidirect
245. D4⋊C8C23semidirect
246. D4⋊C8C23semidirect
247. #322C23semidirect
802. C2#20159direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#33252
C2×#32942
C2×#32722
#201592
C2×#17172
C2×#17012
C2×#16972
C2×#16852
C2×#16772
C2×#16462
C2×#16352
C2×#16192
C2×#15942
C2×#15812