Finite Group Databasebeta

← #6514117

Subgroups — #6514117

Order 512.

2010 conjugacy classes of subgroups.

The subgroup lattice has 791 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3249C211yesmaximal, characteristic, complemented
2C2×#3101C211yesmaximal, characteristic
3#34946C211yesmaximal, characteristic
4#34214C211yesmaximal, characteristic, complemented
5#28282C212yesmaximal, complemented
6#28254C212yesmaximal, complemented
7#28204C212yesmaximal, complemented
8#28159C212yesmaximal, complemented
9#25208C214yesmaximal, complemented
10#25084C214yesmaximal
11#24814C212yesmaximal, complemented
12#24729C212yesmaximal, complemented
13#24679C212yesmaximal, complemented
14#24629C212yesmaximal, complemented
15#21972C211yesmaximal, characteristic, complemented
16#21860C211yesmaximal, characteristic, complemented
17C2×#1802C211yesmaximal, characteristic
18C2×#533C2211yescharacteristic
19C2×#533C2211yescharacteristic
20C22×C4×D4C2211yescharacteristic
21#3249—28no—
22#3101—28no—
23C2×#483C2212yes—
24C2×#477C2212yescomplemented
25C2×#477C2212yescomplemented
26C2×#476C2211yescharacteristic
27C2×#476C2211yescharacteristic
28C2×#467C2214yes—
29C2×#464C2214yes—
30C2×#462C2212yescomplemented
31C2×#462C2212yescomplemented
32C2×#461C2211yescharacteristic
33C2×#461C2211yescharacteristic
34C2×#450C2212yes—
35C2×C4×SD16C2212yes—
36C2×C4×SD16C2212yes—
37C2×#431C2211yescharacteristic
38C22×C4⋊C8C2211yescharacteristic
39C22×#102C2212yes—
40#2563C2211yescharacteristic
41#2563C2211yescharacteristic
42#2562—21no—
43#2562—21no—
44#2561—22no—
45#2547C2211yescharacteristic
46#2547C2211yescharacteristic
47#2503C2212yes—
48#2435C2212yes—
49#2398—22no—
50#2360—22no—
51#2360C2214yes—
52#2355—21no—
53#2355C2212yescomplemented
54Q8×C4⋊C4—21no—
55Q8×C4⋊C4C2212yescomplemented
56#2330—22no—
57#2317—21no—
58C4×C4⋊Q8C2212yescomplemented
59C4×C4⋊Q8C2212yescomplemented
60C4×#124C2212yes—
61C4×#124C2212yes—
62C2×#384C2211yescharacteristic
63#2280—21no—
64#2280—21no—
65#2274—21no—
66C4×#117C2211yescharacteristic
67#2085C2214yescomplemented
68#2074C2214yescomplemented
69#2067C2214yes—
70#2066C2214yescomplemented
71#2056C2214yescomplemented
72#2055C2214yes—
73#2042C2214yes—
74#2015C2214yes—
75#1990C2212yescomplemented
76#1983C2214yes—
77#1956C2212yescomplemented
78#1949C2214yescomplemented
79#1939C2212yescomplemented
80#1939C2212yescomplemented
81#1927C2214yescomplemented
82#1925C2214yes—
83#1880C2214yes—
84#1878C2214yescomplemented
85#1872C2214yes—
86#1850C2214yes—
87#1842C2212yescomplemented
88#1831C2212yescomplemented
89#1805C2214yescomplemented
90#1803C2212yescomplemented
91#1803C2212yescomplemented
92#1802C2212yes—
93#1802C2212yes—
94#1802C2212yes—
95#1802C2212yes—
96C2×#340C2212yes—
97C23×D4C2311yescharacteristic
98C24×C4—21no—
99C22×Q16C2314yes—
100C22×SD16C2312yes—
101C22×SD16C2312yes—
102C23×C8C2312yes—
103#533—24no—
104#533—24no—
105#533—24no—
106#533D418yes—
107C2×C4⋊Q8C2311yescharacteristic
108C2×C4⋊Q8C2311yescharacteristic
109C2×C4⋊Q8C2311yescharacteristic
110C2×C4⋊Q8C2311yescharacteristic
111C2×#125—21no—
112C2×#125—21no—
113C2×#124C2312yes—
114C2×#124C2312yes—
115C2×C22⋊Q8—21no—
116C2×C22⋊Q8—21no—
117C2×C22⋊Q8C2312yes—
118C2×C22⋊Q8C2312yes—
119C2×C4×Q8—21no—
120C2×C4×Q8—21no—
121C2×C4×Q8—22no—
122C2×C4×Q8C2312yes—
123C2×C4×Q8C2312yes—
124C2×C4×Q8C2314yes—
125C2×C4×D4—21no—
126C2×C4×D4—21no—
127C2×C4×D4—24no—
128C2×C4×D4—24no—
129C2×C4×D4C2311yescharacteristic
130C2×C4×D4C2311yescharacteristic
131C2×C4×D4C2311yescharacteristic
132C2×C4×D4C2311yescharacteristic
133C2×#117—21no—
134C2×#117—21no—
135C2×#117D411yescharacteristic
136C2×#117D411yescharacteristic
137C22×C4⋊C4—21no—
138C22×C4⋊C4—21no—
139C22×C4⋊C4C2311yescharacteristic
140C22×C4⋊C4C2312yes—
141C22×C22⋊C4—21no—
142C22×C42C2311yescharacteristic
143#483—28no—
144#477—28no—
145#477—28no—
146#476—24no—
147#476—24no—
148#467—216no—
149#464—48no—
150#462—28no—
151#462—28no—
152#461—24no—
153#461—24no—
154#450—28no—
155C4×SD16—28no—
156C4×SD16—28no—
157#431—24no—
158C2×#107C2314yes—
159C2×#106C2312yes—
160C2×#106C2312yes—
161C2×C4⋊C8—24no—
162C2×C4⋊C8C2312yes—
163C2×C4⋊C8C2312yes—
164C2×C4⋊C8C2311yescharacteristic
165C2×C4⋊C8C2311yescharacteristic
166C2×C4⋊C8C2314yes—
167C2×C4⋊C8C2314yes—
168C2×#103C2314yes—
169C2×#103C2314yes—
170C2×#103C2312yes—
171C2×#103C2312yes—
172C2×#103C2314yes—
173C2×#103C2314yes—
174C2×#102—44no—
175C2×#102C2314yes—
176C2×#102C2312yes—
177C2×#102C2312yes—
178C2×#102C2314yes—
179C2×C22⋊C8C2312yes—
180C2×C4×C8C2312yes—
181#400—22no—
182#400—22no—
183#397—22no—
184#397—22no—
185#394—22no—
186#394—22no—
187#393—22no—
188#393—22no—
189#391—22no—
190#391C2314yes—
191#391C2312yes—
192#391C2312yes—
193#390C2312yes—
194#390C2312yes—
195#389—22no—
196#389—22no—
197#389—22no—
198#389—24no—
199#389—24no—
200#389C2314yes—
201#388—22no—
202#388—22no—
203#388—22no—
204#388—22no—
205#387—24no—
206#387—24no—
207#385—24no—
208#384—22no—
209#384—21no—
210#384—21no—
211#384C2312yes—
212#384C2312yes—
213#382—22no—
214#382C2312yes—
215#382C2312yes—
216#381—22no—
217#381—22no—
218#380—21no—
219#380—21no—
220#380—21no—
221#380—21no—
222#380—21no—
223#380—21no—
224#380—21no—
225#380—21no—
226#379—22no—
227#379—22no—
228C4×C4⋊C4—22no—
229C4×C4⋊C4—22no—
230C4×C4⋊C4—22no—
231C4×C4⋊C4—22no—
232C4×C4⋊C4—22no—
233C4×C4⋊C4D411yescharacteristic
234C4×C4⋊C4D411yescharacteristic
235C4×C4⋊C4C2314yes—
236C4×C4⋊C4C2311yescharacteristic
237C4×C4⋊C4C2311yescharacteristic
238C4×C22⋊C4—24no—
239C4×C22⋊C4—22no—
240C4×C22⋊C4—22no—
241C4×C22⋊C4—22no—
242C4×C22⋊C4—22no—
243C4×C22⋊C4D412yes—
244C4×C22⋊C4C2312yes—
245#376D412yes—
246C43C2312yes—
247#340C2314yes—
248#340C2314yes—
249#340C2314yes—
250#340C2314yes—
251#336C2314yes—
252#336C2314yes—
253C25—21no—
254C22×Q8—21no—
255C22×Q8—21no—
256C22×Q8C2412yes—
257C22×Q8C2412yes—
258C22×D4—22no—
259C22×D4—22no—
260C22×D4—22no—
261C22×D4—21no—
262C22×D4—22no—
263C22×D4—41no—
264C22×D4—41no—
265C22×D4C2411yescharacteristic
266C22×D4C2411yescharacteristic
267C23×C4—21no—
268C23×C4—22no—
269C23×C4—21no—
270C23×C4—21no—
271C23×C4—21no—
272C23×C4—21no—
273C23×C4—44no—
274C23×C4—44no—
275C23×C4—44no—
276C23×C4C2×D411yescharacteristic
277C23×C4C2×D411yescharacteristic
278C23×C4C2411yescharacteristic
279C2×Q16—28no—
280C2×Q16—44no—
281C2×Q16—44no—
282C2×SD16—24no—
283C2×SD16—24no—
284C2×SD16—24no—
285C2×SD16—24no—
286C2×SD16—42no—
287C2×SD16—42no—
288C22×C8—24no—
289C22×C8—42no—
290C22×C8—42no—
291C22×C8C2414yes—
292C22×C8C2412yes—
293C22×C8C2412yes—
294C4⋊Q8—22no—
295C4⋊Q8—22no—
296C4⋊Q8—22no—
297C4⋊Q8—22no—
298C4⋊Q8—22no—
299C4⋊Q8—22no—
300C4⋊Q8C2×D414yes—
301C4⋊Q8C2×D414yes—
302#125—28no—
303#125—44no—
304#124—24no—
305#124—24no—
306#124—42no—
307#124—42no—
308C22⋊Q8—28no—
309C22⋊Q8—24no—
310C22⋊Q8—24no—
311C22⋊Q8—24no—
312C22⋊Q8—44no—
313C22⋊Q8C2×D418yes—
314C4×Q8—28no—
315C4×Q8—24no—
316C4×Q8—24no—
317C4×Q8—24no—
318C4×Q8—44no—
319C4×Q8—44no—
320C4×Q8—44no—
321C4×Q8—84no—
322C4×Q8C2×D418yes—
323C4×D4—22no—
324C4×D4—22no—
325C4×D4—22no—
326C4×D4—22no—
327C4×D4—22no—
328C4×D4—22no—
329C4×D4—22no—
330C4×D4—22no—
331C4×D4—44no—
332C4×D4—44no—
333#117—28no—
334#117—24no—
335#117—24no—
336#117—44no—
337C2×C4⋊C4—21no—
338C2×C4⋊C4—21no—
339C2×C4⋊C4—21no—
340C2×C4⋊C4—22no—
341C2×C4⋊C4—22no—
342C2×C4⋊C4—22no—
343C2×C4⋊C4—22no—
344C2×C4⋊C4—22no—
345C2×C4⋊C4—22no—
346C2×C4⋊C4—22no—
347C2×C4⋊C4—21no—
348C2×C4⋊C4—21no—
349C2×C4⋊C4—21no—
350C2×C4⋊C4—21no—
351C2×C4⋊C4—22no—
352C2×C4⋊C4—22no—
353C2×C4⋊C4—22no—
354C2×C4⋊C4—22no—
355C2×C4⋊C4—24no—
356C2×C4⋊C4—24no—
357C2×C4⋊C4—42no—
358C2×C4⋊C4—42no—
359C2×C4⋊C4—44no—
360C2×C4⋊C4—82no—
361C2×C4⋊C4C2×D411yescharacteristic
362C2×C4⋊C4C2×D411yescharacteristic
363C2×C4⋊C4C2×D411yescharacteristic
364C2×C4⋊C4C2×D411yescharacteristic
365C2×C4⋊C4C2411yescharacteristic
366C2×C4⋊C4C2411yescharacteristic
367C2×C4⋊C4C2414yes—
368C2×C4⋊C4C2412yes—
369C2×C4⋊C4C2412yes—
370C2×C22⋊C4—22no—
371C2×C22⋊C4—22no—
372C2×C22⋊C4—21no—
373C2×C22⋊C4—21no—
374C2×C22⋊C4—21no—
375C2×C22⋊C4—21no—
376C2×C22⋊C4—22no—
377C2×C22⋊C4—22no—
378C2×C22⋊C4—22no—
379C2×C22⋊C4—22no—
380C2×C22⋊C4—22no—
381C2×C22⋊C4—22no—
382C2×C22⋊C4—22no—
383C2×C22⋊C4—22no—
384C2×C22⋊C4—44no—
385C2×C22⋊C4C2×D412yes—
386C2×C22⋊C4C2×D412yes—
387C2×C42—22no—
388C2×C42—22no—
389C2×C42—24no—
390C2×C42—24no—
391C2×C42C2×D412yes—
392C2×C42C2×D412yes—
393C2×C42C2×D412yes—
394C2×C42C2×D412yes—
395C2×C42C2×D411yescharacteristic
396C2×C42C2×D411yescharacteristic
397C2×C42C2×D414yes—
398C2×C42#4114yes—
399C2×C42C2412yes—
400C2×C42C2412yes—
401C2×C42C2411yescharacteristic
402C2×C42C2411yescharacteristic
403#107—28no—
404#106—24no—
405#106—24no—
406C4⋊C8—24no—
407C4⋊C8—24no—
408C4⋊C8—22no—
409C4⋊C8—22no—
410C4⋊C8—44no—
411C4⋊C8—44no—
412#103—24no—
413#103—24no—
414#103—28no—
415#103—28no—
416#103—44no—
417#103—44no—
418#102—28no—
419#102—24no—
420#102—24no—
421#102—44no—
422C22⋊C8—24no—
423C4×C8—24no—
424#95—24no—
425#95—24no—
426#95—22no—
427#95—22no—
428#95—22no—
429#95—22no—
430#95—22no—
431#95—22no—
432#95—22no—
433#95—22no—
434#95—24no—
435#95—24no—
436#95C2×D412yes—
437#95C2×D412yes—
438#95C2×D412yes—
439#95C2×D412yes—
440C24—21no—
441C24—21no—
442C24—42no—
443C24—42no—
444C24—42no—
445C24—42no—
446C24—42no—
447C24—81no—
448C24—81no—
449C24C22×D411yescharacteristic
450C2×Q8—24no—
451C2×Q8—22no—
452C2×Q8—22no—
453C2×Q8—22no—
454C2×Q8—22no—
455C2×Q8—22no—
456C2×Q8—22no—
457C2×Q8—22no—
458C2×Q8—22no—
459C2×Q8—22no—
460C2×Q8—22no—
461C2×Q8—22no—
462C2×Q8—42no—
463C2×Q8—42no—
464C2×Q8—42no—
465C2×Q8—81no—
466C2×Q8—81no—
467C2×Q8C22×D414yes—
468C2×D4—28no—
469C2×D4—21no—
470C2×D4—21no—
471C2×D4—21no—
472C2×D4—21no—
473C2×D4—21no—
474C2×D4—21no—
475C2×D4—21no—
476C2×D4—21no—
477C2×D4—21no—
478C2×D4—21no—
479C2×D4—44no—
480C2×D4—44no—
481C2×D4—42no—
482C2×D4—42no—
483C2×D4—44no—
484C2×D4—42no—
485C2×D4H(5,𝔽2)12yes—
486C2×D42−1+412yes—
487C22×C4—21no—
488C22×C4—21no—
489C22×C4—21no—
490C22×C4—21no—
491C22×C4—22no—
492C22×C4—22no—
493C22×C4—21no—
494C22×C4—21no—
495C22×C4—24no—
496C22×C4—22no—
497C22×C4—22no—
498C22×C4—41no—
499C22×C4—41no—
500C22×C4—42no—
501C22×C4—42no—
502C22×C4—42no—
503C22×C4—44no—
504C22×C4—42no—
505C22×C4—42no—
506C22×C4—42no—
507C22×C4—42no—
508C22×C4—42no—
509C22×C4—42no—
510C22×C4—42no—
511C22×C4—42no—
512C22×C4—42no—
513C22×C4—42no—
514C22×C4—42no—
515C22×C4—42no—
516C22×C4—82no—
517C22×C4—82no—
518C22×C4—816no—
519C22×C4#12114yes—
520C22×C4#12114yes—
521C22×C4#13514yes—
522C22×C4#13714yes—
523C22×C4C22×D412yes—
524C22×C4C22×D412yes—
525C22×C4C22×D412yes—
526C22×C4C22×D412yes—
527C22×C4C22×D411yescharacteristic
528C22×C4C22×D411yescharacteristic
529C22×C4C22×D411yescharacteristic
530C22×C4C22×D412yes—
531C22×C4C22×D411yescharacteristic
532C22×C4C22×D411yescharacteristic
533C22×C4C2×#4112yes—
534C22×C4C2511yescharacteristic
535Q16—88no—
536SD16—48no—
537SD16—48no—
538C2×C8—22no—
539C2×C8—22no—
540C2×C8—24no—
541C2×C8—24no—
542C2×C8—22no—
543C2×C8—22no—
544C2×C8—22no—
545C2×C8—22no—
546C2×C8—24no—
547C2×C8—84no—
548C4⋊C4—24no—
549C4⋊C4—24no—
550C4⋊C4—24no—
551C4⋊C4—28no—
552C4⋊C4—28no—
553C4⋊C4—22no—
554C4⋊C4—22no—
555C4⋊C4—22no—
556C4⋊C4—22no—
557C4⋊C4—22no—
558C4⋊C4—21no—
559C4⋊C4—21no—
560C4⋊C4—22no—
561C4⋊C4—21no—
562C4⋊C4—21no—
563C4⋊C4—22no—
564C4⋊C4—24no—
565C4⋊C4—24no—
566C4⋊C4—44no—
567C4⋊C4—42no—
568C4⋊C4—42no—
569C4⋊C4—42no—
570C4⋊C4—44no—
571C4⋊C4—44no—
572C4⋊C4—42no—
573C4⋊C4—44no—
574C4⋊C4—44no—
575C4⋊C4—82no—
576C4⋊C4—82no—
577C4⋊C4—84no—
578C4⋊C4—84no—
579C4⋊C4C22×D414yes—
580C22⋊C4—28no—
581C22⋊C4—24no—
582C22⋊C4—24no—
583C22⋊C4—44no—
584C22⋊C4—44no—
585C22⋊C4—44no—
586C22⋊C4—44no—
587C22⋊C4—44no—
588C22⋊C4—42no—
589C22⋊C4—42no—
590C22⋊C4—42no—
591C22⋊C4—42no—
592C22⋊C4—82no—
593C22⋊C4—82no—
594C22⋊C4—82no—
595C22⋊C4—82no—
596C42—28no—
597C42—24no—
598C42—24no—
599C42—22no—
600C42—22no—
601C42—22no—
602C42—22no—
603C42—42no—
604C42—42no—
605C42—44no—
606C42—84no—
607C42—84no—
608C42#12114yes—
609C42#12114yes—
610C42C22×D412yes—
611C42C22×D412yes—
612C42C2×#4112yes—
613C42C2×#4112yes—
614C23—21no—
615C23—21no—
616C23—21no—
617C23—21no—
618C23—22no—
619C23—22no—
620C23—48no—
621C23—41no—
622C23—41no—
623C23—41no—
624C23—41no—
625C23—41no—
626C23—41no—
627C23—41no—
628C23—41no—
629C23—41no—
630C23—41no—
631C23—41no—
632C23—41no—
633C23—84no—
634C23—84no—
635C23—84no—
636C23—84no—
637C23—84no—
638C23—84no—
639C23C2×#12112yes—
640C23C2×#13512yes—
641C23C2×#13712yes—
642C23C23×D411yescharacteristic
643Q8—24no—
644Q8—24no—
645Q8—48no—
646Q8—42no—
647Q8—42no—
648Q8—42no—
649Q8—42no—
650Q8—42no—
651Q8—42no—
652Q8—84no—
653D4—22no—
654D4—22no—
655D4—22no—
656D4—22no—
657D4—48no—
658D4—41no—
659D4—41no—
660D4—41no—
661D4—41no—
662C2×C4—21no—
663C2×C4—21no—
664C2×C4—21no—
665C2×C4—21no—
666C2×C4—21no—
667C2×C4—21no—
668C2×C4—22no—
669C2×C4—22no—
670C2×C4—22no—
671C2×C4—22no—
672C2×C4—22no—
673C2×C4—22no—
674C2×C4—22no—
675C2×C4—22no—
676C2×C4—24no—
677C2×C4—24no—
678C2×C4—22no—
679C2×C4—22no—
680C2×C4—22no—
681C2×C4—22no—
682C2×C4—22no—
683C2×C4—22no—
684C2×C4—22no—
685C2×C4—22no—
686C2×C4—44no—
687C2×C4—42no—
688C2×C4—42no—
689C2×C4—42no—
690C2×C4—42no—
691C2×C4—44no—
692C2×C4—42no—
693C2×C4—42no—
694C2×C4—42no—
695C2×C4—42no—
696C2×C4—41no—
697C2×C4—41no—
698C2×C4—44no—
699C2×C4—42no—
700C2×C4—42no—
701C2×C4—44no—
702C2×C4—41no—
703C2×C4—41no—
704C2×C4—41no—
705C2×C4—41no—
706C2×C4—84no—
707C2×C4—84no—
708C2×C4—84no—
709C2×C4—84no—
710C2×C4—84no—
711C2×C4—164no—
712C2×C4#464116yescomplemented
713C2×C4C2×#12112yes—
714C2×C4C2×#12112yes—
715C2×C4C2×#12112yes—
716C2×C4C2×#12112yes—
717C2×C4C2×#12112yes—
718C2×C4C2×#13512yes—
719C2×C4C2×#13512yes—
720C2×C4C2×#13712yes—
721C2×C4C2×#13712yes—
722C2×C4C23×D411yescharacteristic
723C2×C4C22×#4111yescharacteristic
724C2×C4C2×H(5,𝔽2)11yescharacteristic
725C2×C4C2×2−1+411yescharacteristic
726C2×C4#58511yescharacteristic
727C2×C4#58511yescharacteristic
728C8—44no—
729C8—42no—
730C8—42no—
731C22—22no—
732C22—22no—
733C22—22no—
734C22—22no—
735C22—22no—
736C22—22no—
737C22—42no—
738C22—42no—
739C22—42no—
740C22—42no—
741C22—42no—
742C22—42no—
743C22—816no—
744C22—81no—
745C22—81no—
746C22—81no—
747C22—81no—
748C22—81no—
749C22—81no—
750C22—81no—
751C22—81no—
752C22C2×#46414yes—
753C22C22×#12111yescharacteristic
754C22#348811yescharacteristic
755C22#348911yescharacteristic
756C22C22×#13511yescharacteristic
757C22C22×#13711yescharacteristic
758C22#358511yescharacteristic
759C22#358611yescharacteristic
760C4—22no—
761C4—22no—
762C4—22no—
763C4—42no—
764C4—44no—
765C4—42no—
766C4—42no—
767C4—44no—
768C4—42no—
769C4—82no—
770C4—82no—
771C4—81no—
772C4—81no—
773C4—84no—
774C4C2×#46414yes—
775C4C2×#46414yes—
776C4#348811yescharacteristic
777C4#348911yescharacteristic
778C4#349211yescharacteristic
779C4#349311yescharacteristic
780C2—24no—
781C2—82no—
782C2—82no—
783C2#3551811yescharacteristic
784C2C22×#46411yescharacteristic
785C2#6042511yescharacteristic
786C2#6194911yescharacteristic
787C2#6196011yescharacteristic
788C2#6209711yescharacteristic
789C2#6210811yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
prime radicalC23×D4C23
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ C4×#117 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C2×#3249C2semidirect
4. #34214C2semidirect
5. #28282C2semidirect
6. #28254C2semidirect
7. #28204C2semidirect
8. #28159C2semidirect
9. #25208C2semidirect
11. #24814C2semidirect
12. #24729C2semidirect
13. #24679C2semidirect
14. #24629C2semidirect
15. #21972C2semidirect
16. #21860C2semidirect
24. C2×#477C22semidirect
25. C2×#477C22semidirect
30. C2×#462C22semidirect
31. C2×#462C22semidirect
53. #2355C22semidirect
55. Q8×C4⋊C4C22semidirect
58. C4×C4⋊Q8C22semidirect
59. C4×C4⋊Q8C22semidirect
67. #2085C22semidirect
68. #2074C22semidirect
70. #2066C22semidirect
71. #2056C22semidirect
75. #1990C22semidirect
77. #1956C22semidirect
78. #1949C22semidirect
79. #1939C22semidirect
80. #1939C22semidirect
81. #1927C22semidirect
84. #1878C22semidirect
87. #1842C22semidirect
88. #1831C22semidirect
89. #1805C22semidirect
90. #1803C22semidirect
91. #1803C22semidirect
712. C2×C4#464semidirect

Maximal subgroups

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

subgroupindex
C2×#32492
C2×#31012
#349462
#342142
#282822
#282542
#282042
#281592
#252082
#250842
#248142
#247292
#246792
#246292
#219722
#218602
C2×#18022