Finite Group Databasebeta

← #6519708

Subgroups — #6519708

Order 512.

2198 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×#3218C211yesmaximal, characteristic, complemented
2C2×#3105C211yesmaximal, characteristic
3C2×#2547C211yesmaximal, characteristic, complemented
4#34243C211yesmaximal, characteristic, complemented
5#28121C212yesmaximal, complemented
6#28115C212yesmaximal, complemented
7#25381C214yesmaximal, complemented
8#25289C214yesmaximal, complemented
9#24729C212yesmaximal, complemented
10#24727C212yesmaximal, complemented
11#24629C212yesmaximal, complemented
12#24627C212yesmaximal, complemented
13#24217C212yesmaximal, complemented
14#24215C212yesmaximal
15#21953C211yesmaximal, characteristic, complemented
16#21804C211yesmaximal, characteristic, complemented
17#20738C211yesmaximal, characteristic, complemented
18C22×C4⋊Q8C2211yescharacteristic
19C2×#529C2211yescharacteristic
20C22×#124C2212yes—
21C22×C4×D4C2211yescharacteristic
22#3218—28no—
23C2×#497C2212yescomplemented
24C2×#491C2212yescomplemented
25#3105—28no—
26C2×#484C2211yescharacteristic
27C2×#481C2211yescharacteristic
28C2×#478C2212yes—
29C2×#464C2214yes—
30C2×#462C2212yescomplemented
31C2×#463C2212yes—
32C2×#463C2214yes—
33C2×#461C2212yescomplemented
34C2×#451C2212yes—
35C2×#448C2212yes—
36C2×#450C2211yescharacteristic
37C2×#447C2211yescharacteristic
38C2×C4×SD16C2212yes—
39C2×C4×D8C2212yes—
40C2×#432C2211yescharacteristic
41C2×#431C2211yescharacteristic
42#2547—21no—
43#2547—22no—
44#2547—21no—
45#2547C2214yes—
46#2547C2212yes—
47#2547C2212yes—
48C2×#397—22no—
49#2370C2212yescomplemented
50#2367C2212yescomplemented
51#2359—22no—
52#2355C2211yescharacteristic, complemented
53#2354C2211yescharacteristic, complemented
54#2352—21no—
55Q8×C4⋊C4C2211yescharacteristic, complemented
56D4×C4⋊C4—21no—
57D4×C4⋊C4C2211yescharacteristic, complemented
58#2334—22no—
59#2314—21no—
60C4×C22⋊Q8C2212yes—
61C4×#121C2212yes—
62C2×#391C2212yes—
63#2285C2211yescharacteristic
64C2×#380—21no—
65C2×#380—21no—
66#2274—21no—
67C2×C4×C4⋊C4C2211yescharacteristic
68#2068C2214yescomplemented
69#2066C2214yescomplemented
70#2056C2214yescomplemented
71#2055C2214yescomplemented
72#2042C2214yes—
73#2042C2214yes—
74#2015C2214yes—
75#2012C2214yes—
76#1983C2214yes—
77#1983C2214yes—
78#1981C2214yescomplemented
79#1956C2212yescomplemented
80#1956C2212yescomplemented
81#1940C2214yescomplemented
82#1939C2212yescomplemented
83#1939C2212yescomplemented
84#1928C2214yescomplemented
85#1927C2214yescomplemented
86#1878C2214yescomplemented
87#1877C2214yescomplemented
88#1824C2212yes—
89#1802C2212yes—
90#1802C2212yes—
91#1797C2212yes—
92#1797C2212yes—
93#1787C2212yes—
94#1787C2212yes—
95#1786C2212yes—
96#1762C2214yes—
97C23×Q8C2312yes—
98C23×D4C2311yescharacteristic
99C24×C4—21no—
100C22×Q16C2314yes—
101C22×SD16C2312yes—
102C22×SD16C2314yes—
103C22×D8C2312yes—
104C2×C4⋊Q8—21no—
105C2×C4⋊Q8—21no—
106C2×C4⋊Q8—24no—
107C2×C4⋊Q8—24no—
108C2×C4⋊Q8C2312yes—
109C2×C4⋊Q8C2312yes—
110#529—24no—
111#529D418yes—
112C2×#126—21no—
113C2×#125C2311yescharacteristic
114C2×#124—22no—
115C2×#124—22no—
116C2×#124—48no—
117C2×#124C2314yes—
118C2×#124C2314yes—
119C2×#124C2311yescharacteristic
120C2×#123—21no—
121C2×C22⋊Q8C2311yescharacteristic
122C2×#121C2311yescharacteristic
123C2×C4×Q8C2311yescharacteristic
124C2×C4×Q8C2312yes—
125C2×C4×D4—21no—
126C2×C4×D4—22no—
127C2×C4×D4—21no—
128C2×C4×D4—21no—
129C2×C4×D4—24no—
130C2×C4×D4—24no—
131C2×C4×D4C2312yes—
132C2×C4×D4C2312yes—
133C2×C4×D4C2311yescharacteristic
134C2×C4×D4C2312yes—
135C2×#117—21no—
136C2×#117—21no—
137C2×#117—21no—
138C22×C4⋊C4—21no—
139C22×C4⋊C4—21no—
140C22×C4⋊C4—21no—
141C22×C4⋊C4D411yescharacteristic
142C22×C4⋊C4D411yescharacteristic
143C22×C4⋊C4C2311yescharacteristic
144C22×C22⋊C4—21no—
145C22×C22⋊C4—22no—
146C22×C22⋊C4—22no—
147C22×C42C2312yes—
148C22×C42C2311yescharacteristic
149#497—28no—
150#491—28no—
151#484—24no—
152#481—24no—
153#478—28no—
154#464—48no—
155#463—28no—
156#463—48no—
157#462—28no—
158#461—28no—
159#451—28no—
160#450—24no—
161#448—28no—
162#447—24no—
163C4×SD16—28no—
164C4×D8—28no—
165#432—24no—
166#431—24no—
167C2×#107C2312yes—
168C2×#106C2312yes—
169C2×C4⋊C8C2312yes—
170C2×C4⋊C8C2312yes—
171C2×C4⋊C8C2314yes—
172C2×C4⋊C8C2314yes—
173C2×#103C2312yes—
174C2×#103C2314yes—
175C2×#103C2314yes—
176C2×#103C2314yes—
177C2×#103C2314yes—
178C2×#103C2314yes—
179C2×#103C2314yes—
180C2×#102C2312yes—
181C2×#102C2312yes—
182C2×#102C2312yes—
183C2×#102C2314yes—
184C2×#102C2314yes—
185C2×C22⋊C8C2311yescharacteristic
186C2×C22⋊C8C2311yescharacteristic
187C2×C22⋊C8C2312yes—
188C2×#97C2312yes—
189C2×C4×C8C2312yes—
190#397—24no—
191#397—24no—
192#397—24no—
193#397—24no—
194#391—22no—
195#391—22no—
196#391C2314yes—
197#391C2312yes—
198#391C2314yes—
199#390C2312yes—
200#389—22no—
201#389—22no—
202#389C2312yes—
203#389C2312yes—
204#388—22no—
205#388—22no—
206#388—22no—
207#388—22no—
208#387—22no—
209#387—22no—
210#387—22no—
211#387—22no—
212#386—22no—
213#385—22no—
214#385—22no—
215#385—22no—
216#384—21no—
217#384C2311yescharacteristic
218#384C2311yescharacteristic
219#382—21no—
220#382—21no—
221#380—21no—
222#380—21no—
223#380—21no—
224#380—22no—
225#380—22no—
226#380—22no—
227#380—22no—
228#380—24no—
229#380—24no—
230#380C2312yes—
231C4×C4⋊C4—21no—
232C4×C4⋊C4—21no—
233C4×C4⋊C4—21no—
234C4×C4⋊C4—22no—
235C4×C4⋊C4—22no—
236C4×C4⋊C4D411yescharacteristic
237C4×C4⋊C4D412yes—
238C4×C4⋊C4D411yescharacteristic
239C4×C4⋊C4C2312yes—
240C4×C4⋊C4C2312yes—
241C4×C4⋊C4C2312yes—
242C4×C4⋊C4C2311yescharacteristic
243C4×C4⋊C4C2311yescharacteristic
244C4×C4⋊C4C2312yes—
245C4×C22⋊C4—22no—
246C4×C22⋊C4—22no—
247C4×C22⋊C4—22no—
248C2×#95—22no—
249C2×#95—22no—
250C2×#95D412yes—
251#340C2314yes—
252#340C2314yes—
253#336C2314yes—
254#336C2314yes—
255C25—21no—
256C22×Q8—22no—
257C22×Q8—24no—
258C22×Q8—24no—
259C22×Q8—44no—
260C22×Q8—44no—
261C22×Q8C2414yes—
262C22×Q8C2411yescharacteristic
263C22×D4—21no—
264C22×D4—24no—
265C22×D4—21no—
266C22×D4—22no—
267C22×D4—22no—
268C22×D4—42no—
269C22×D4C2411yescharacteristic
270C22×D4C2412yes—
271C23×C4—21no—
272C23×C4—22no—
273C23×C4—21no—
274C23×C4—22no—
275C23×C4—22no—
276C23×C4—22no—
277C23×C4—44no—
278C23×C4—44no—
279C23×C4—44no—
280C23×C4C2×D411yescharacteristic
281C23×C4C2×D411yescharacteristic
282C23×C4C2×D412yes—
283C23×C4C2×D412yes—
284C23×C4C2411yescharacteristic
285C2×Q16—28no—
286C2×Q16—44no—
287C2×Q16—44no—
288C2×SD16—24no—
289C2×SD16—24no—
290C2×SD16—28no—
291C2×SD16—42no—
292C2×SD16—44no—
293C2×SD16—44no—
294C2×D8—24no—
295C2×D8—24no—
296C2×D8—42no—
297C22×C8C2412yes—
298C22×C8C2414yes—
299C22×C8C2412yes—
300C4⋊Q8—24no—
301C4⋊Q8—24no—
302C4⋊Q8—24no—
303C4⋊Q8—24no—
304C4⋊Q8—44no—
305C4⋊Q8—44no—
306#126—28no—
307#125—22no—
308#125C2×D414yes—
309#124—28no—
310#124—28no—
311#124—22no—
312#124—44no—
313#124—44no—
314#124—48no—
315#124—48no—
316#124C2×D414yes—
317#123—28no—
318C22⋊Q8—22no—
319C22⋊Q8C2×D414yes—
320#121—22no—
321#121C2×D414yes—
322C4×Q8—22no—
323C4×Q8—44no—
324C4×Q8C2×D414yes—
325C4×D4—28no—
326C4×D4—24no—
327C4×D4—24no—
328C4×D4—22no—
329C4×D4—24no—
330C4×D4—24no—
331C4×D4—44no—
332C4×D4—44no—
333C4×D4—44no—
334C4×D4—84no—
335C4×D4C2×D414yes—
336#117—28no—
337#117—44no—
338#117—82no—
339C2×C4⋊C4—21no—
340C2×C4⋊C4—21no—
341C2×C4⋊C4—21no—
342C2×C4⋊C4—21no—
343C2×C4⋊C4—22no—
344C2×C4⋊C4—22no—
345C2×C4⋊C4—22no—
346C2×C4⋊C4—22no—
347C2×C4⋊C4—22no—
348C2×C4⋊C4—22no—
349C2×C4⋊C4—21no—
350C2×C4⋊C4—22no—
351C2×C4⋊C4—21no—
352C2×C4⋊C4—21no—
353C2×C4⋊C4—21no—
354C2×C4⋊C4—21no—
355C2×C4⋊C4—22no—
356C2×C4⋊C4—22no—
357C2×C4⋊C4—42no—
358C2×C4⋊C4—42no—
359C2×C4⋊C4—44no—
360C2×C4⋊C4—44no—
361C2×C4⋊C4—44no—
362C2×C4⋊C4C2×D411yescharacteristic
363C2×C4⋊C4C2×D411yescharacteristic
364C2×C4⋊C4C2×D411yescharacteristic
365C2×C4⋊C4C2×D411yescharacteristic
366C2×C4⋊C4C2×D412yes—
367C2×C4⋊C4C2×D412yes—
368C2×C4⋊C4C2412yes—
369C2×C4⋊C4C2412yes—
370C2×C4⋊C4C2412yes—
371C2×C4⋊C4C2411yescharacteristic
372C2×C4⋊C4C2411yescharacteristic
373C2×C22⋊C4—21no—
374C2×C22⋊C4—21no—
375C2×C22⋊C4—21no—
376C2×C22⋊C4—21no—
377C2×C22⋊C4—21no—
378C2×C22⋊C4—22no—
379C2×C22⋊C4—22no—
380C2×C22⋊C4—22no—
381C2×C22⋊C4—24no—
382C2×C22⋊C4—24no—
383C2×C22⋊C4—24no—
384C2×C22⋊C4—24no—
385C2×C22⋊C4—22no—
386C2×C22⋊C4—22no—
387C2×C22⋊C4—22no—
388C2×C22⋊C4—48no—
389C2×C22⋊C4—48no—
390C2×C22⋊C4—44no—
391C2×C42—21no—
392C2×C42—22no—
393C2×C42—22no—
394C2×C42—22no—
395C2×C42—22no—
396C2×C42—44no—
397C2×C42C2×D412yes—
398C2×C42C2×D412yes—
399C2×C42C2×D411yescharacteristic
400C2×C42C2×D411yescharacteristic
401C2×C42C2×D414yes—
402C2×C42#4114yes—
403C2×C42C2412yes—
404C2×C42C2412yes—
405C2×C42C2411yescharacteristic
406C2×C42C2411yescharacteristic
407#107—24no—
408#106—24no—
409C4⋊C8—24no—
410C4⋊C8—24no—
411C4⋊C8—44no—
412C4⋊C8—44no—
413#103—24no—
414#103—28no—
415#103—28no—
416#103—44no—
417#103—44no—
418#103—44no—
419#103—44no—
420#102—24no—
421#102—28no—
422#102—24no—
423#102—24no—
424#102—44no—
425C22⋊C8—22no—
426C22⋊C8—22no—
427C22⋊C8—24no—
428#97—24no—
429C4×C8—24no—
430#95—24no—
431#95—24no—
432#95—24no—
433#95—24no—
434#95—22no—
435#95—22no—
436#95—22no—
437#95—22no—
438#95—22no—
439#95—22no—
440#95—22no—
441#95—22no—
442#95C2×D412yes—
443#95C2×D412yes—
444#95C2×D412yes—
445#95C2×D412yes—
446C24—24no—
447C24—21no—
448C24—22no—
449C24—42no—
450C24—42no—
451C24—42no—
452C24—42no—
453C24—42no—
454C24—42no—
455C24C22×D411yescharacteristic
456C2×Q8—21no—
457C2×Q8—24no—
458C2×Q8—24no—
459C2×Q8—22no—
460C2×Q8—24no—
461C2×Q8—24no—
462C2×Q8—22no—
463C2×Q8—24no—
464C2×Q8—24no—
465C2×Q8—44no—
466C2×Q8—44no—
467C2×Q8—44no—
468C2×Q8—88no—
469C2×Q8—88no—
470C2×Q8C22×D412yes—
471C2×D4—24no—
472C2×D4—24no—
473C2×D4—22no—
474C2×D4—22no—
475C2×D4—21no—
476C2×D4—22no—
477C2×D4—22no—
478C2×D4—22no—
479C2×D4—22no—
480C2×D4—22no—
481C2×D4—48no—
482C2×D4—48no—
483C2×D4—42no—
484C2×D4—42no—
485C2×D4—42no—
486C2×D4—42no—
487C2×D4C22×D412yes—
488C2×D4H(5,𝔽2)14yes—
489C22×C4—22no—
490C22×C4—22no—
491C22×C4—22no—
492C22×C4—22no—
493C22×C4—22no—
494C22×C4—22no—
495C22×C4—21no—
496C22×C4—21no—
497C22×C4—21no—
498C22×C4—24no—
499C22×C4—24no—
500C22×C4—24no—
501C22×C4—22no—
502C22×C4—22no—
503C22×C4—22no—
504C22×C4—24no—
505C22×C4—42no—
506C22×C4—42no—
507C22×C4—42no—
508C22×C4—42no—
509C22×C4—44no—
510C22×C4—44no—
511C22×C4—44no—
512C22×C4—42no—
513C22×C4—42no—
514C22×C4—44no—
515C22×C4—42no—
516C22×C4—42no—
517C22×C4—44no—
518C22×C4—42no—
519C22×C4—44no—
520C22×C4—44no—
521C22×C4—44no—
522C22×C4—44no—
523C22×C4—44no—
524C22×C4—82no—
525C22×C4—82no—
526C22×C4—816no—
527C22×C4#12114yes—
528C22×C4#12114yes—
529C22×C4C22×D412yes—
530C22×C4C22×D412yes—
531C22×C4C22×D412yes—
532C22×C4C22×D412yes—
533C22×C4C22×D411yescharacteristic
534C22×C4C22×D411yescharacteristic
535C22×C4C22×D411yescharacteristic
536C22×C4C22×D411yescharacteristic
537C22×C4C22×D412yes—
538C22×C4C22×D411yescharacteristic
539C22×C4C2×#4112yes—
540C22×C4C2511yescharacteristic
541Q16—88no—
542SD16—48no—
543SD16—88no—
544D8—48no—
545C2×C8—22no—
546C2×C8—22no—
547C2×C8—24no—
548C2×C8—24no—
549C2×C8—22no—
550C2×C8—22no—
551C2×C8—24no—
552C2×C8—22no—
553C2×C8—22no—
554C4⋊C4—24no—
555C4⋊C4—24no—
556C4⋊C4—24no—
557C4⋊C4—24no—
558C4⋊C4—22no—
559C4⋊C4—22no—
560C4⋊C4—22no—
561C4⋊C4—22no—
562C4⋊C4—21no—
563C4⋊C4—21no—
564C4⋊C4—22no—
565C4⋊C4—22no—
566C4⋊C4—24no—
567C4⋊C4—24no—
568C4⋊C4—42no—
569C4⋊C4—42no—
570C4⋊C4—44no—
571C4⋊C4—42no—
572C4⋊C4—44no—
573C4⋊C4—44no—
574C4⋊C4—44no—
575C4⋊C4—44no—
576C4⋊C4—42no—
577C4⋊C4—42no—
578C4⋊C4—81no—
579C4⋊C4—81no—
580C4⋊C4—82no—
581C4⋊C4—82no—
582C4⋊C4C22×D412yes—
583C4⋊C4C22×D412yes—
584C22⋊C4—24no—
585C22⋊C4—24no—
586C22⋊C4—24no—
587C22⋊C4—24no—
588C22⋊C4—24no—
589C22⋊C4—48no—
590C22⋊C4—48no—
591C22⋊C4—48no—
592C22⋊C4—48no—
593C22⋊C4—44no—
594C22⋊C4—44no—
595C22⋊C4—44no—
596C22⋊C4—44no—
597C22⋊C4—82no—
598C22⋊C4—82no—
599C42—24no—
600C42—24no—
601C42—24no—
602C42—42no—
603C42—42no—
604C42—44no—
605C42—82no—
606C42—82no—
607C42—82no—
608C42#12114yes—
609C42#12114yes—
610C42C22×D412yes—
611C42C22×D412yes—
612C42C2×#4112yes—
613C42C2×#4112yes—
614C23—21no—
615C23—21no—
616C23—21no—
617C23—21no—
618C23—22no—
619C23—24no—
620C23—48no—
621C23—48no—
622C23—48no—
623C23—42no—
624C23—41no—
625C23—42no—
626C23—41no—
627C23—41no—
628C23—41no—
629C23—42no—
630C23—42no—
631C23—41no—
632C23—42no—
633C23—41no—
634C23—42no—
635C23—84no—
636C23—84no—
637C23—84no—
638C23—84no—
639C23C2×#12112yes—
640C23#57712yes—
641C23#57812yes—
642C23C23×D411yescharacteristic
643Q8—24no—
644Q8—42no—
645Q8—44no—
646Q8—44no—
647Q8—44no—
648Q8—44no—
649Q8—88no—
650D4—24no—
651D4—24no—
652D4—24no—
653D4—48no—
654D4—48no—
655D4—42no—
656D4—42no—
657D4—42no—
658C2×C4—21no—
659C2×C4—21no—
660C2×C4—28no—
661C2×C4—21no—
662C2×C4—21no—
663C2×C4—21no—
664C2×C4—21no—
665C2×C4—21no—
666C2×C4—21no—
667C2×C4—24no—
668C2×C4—24no—
669C2×C4—28no—
670C2×C4—22no—
671C2×C4—22no—
672C2×C4—22no—
673C2×C4—22no—
674C2×C4—22no—
675C2×C4—22no—
676C2×C4—22no—
677C2×C4—22no—
678C2×C4—22no—
679C2×C4—22no—
680C2×C4—22no—
681C2×C4—22no—
682C2×C4—22no—
683C2×C4—22no—
684C2×C4—22no—
685C2×C4—41no—
686C2×C4—41no—
687C2×C4—41no—
688C2×C4—41no—
689C2×C4—41no—
690C2×C4—41no—
691C2×C4—48no—
692C2×C4—42no—
693C2×C4—44no—
694C2×C4—42no—
695C2×C4—44no—
696C2×C4—42no—
697C2×C4—44no—
698C2×C4—42no—
699C2×C4—42no—
700C2×C4—42no—
701C2×C4—42no—
702C2×C4—42no—
703C2×C4—42no—
704C2×C4—88no—
705C2×C4—84no—
706C2×C4—84no—
707C2×C4—84no—
708C2×C4—88no—
709C2×C4—88no—
710C2×C4—164no—
711C2×C4C2×#12112yes—
712C2×C4C2×#12112yes—
713C2×C4C2×#12112yes—
714C2×C4C2×#12112yes—
715C2×C4C2×#12112yes—
716C2×C4#57512yes—
717C2×C4#57512yes—
718C2×C4C23×D411yescharacteristic
719C2×C4C22×#4111yescharacteristic
720C2×C4C2×H(5,𝔽2)12yes—
721C2×C4#58512yes—
722C8—42no—
723C8—42no—
724C8—44no—
725C22—22no—
726C22—22no—
727C22—22no—
728C22—22no—
729C22—22no—
730C22—22no—
731C22—42no—
732C22—44no—
733C22—44no—
734C22—44no—
735C22—42no—
736C22—42no—
737C22—816no—
738C22—82no—
739C22—81no—
740C22—81no—
741C22—81no—
742C22—82no—
743C22—81no—
744C22—82no—
745C22—82no—
746C22#304614yes—
747C22C22×#12111yescharacteristic
748C22#348411yescharacteristic
749C22#348711yescharacteristic
750C22C2×#57511yescharacteristic
751C22C2×#57511yescharacteristic
752C22C2×#57711yescharacteristic
753C22C2×#57811yescharacteristic
754C4—22no—
755C4—22no—
756C4—22no—
757C4—22no—
758C4—42no—
759C4—42no—
760C4—42no—
761C4—42no—
762C4—42no—
763C4—42no—
764C4—42no—
765C4—82no—
766C4—82no—
767C4—84no—
768C4—82no—
769C4#304014yes—
770C4#348812yes—
771C4#349412yes—
772C2—24no—
773C2—82no—
774C2—84no—
775C2#3556311yescharacteristic
776C2C2×#304011yescharacteristic
777C2C2×#304611yescharacteristic
778C2#6159511yescharacteristic
779C2#6160411yescharacteristic
780C2#6189911yescharacteristic
781C2#6190511yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
prime radicalC2×#447C22
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ C2×C4×C4⋊C4 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C2×#3218C2semidirect
3. C2×#2547C2semidirect
4. #34243C2semidirect
5. #28121C2semidirect
6. #28115C2semidirect
7. #25381C2semidirect
8. #25289C2semidirect
9. #24729C2semidirect
10. #24727C2semidirect
11. #24629C2semidirect
12. #24627C2semidirect
13. #24217C2semidirect
15. #21953C2semidirect
16. #21804C2semidirect
17. #20738C2semidirect
23. C2×#497C22semidirect
24. C2×#491C22semidirect
30. C2×#462C22semidirect
33. C2×#461C22semidirect
49. #2370C22semidirect
50. #2367C22semidirect
52. #2355C22semidirect
53. #2354C22semidirect
55. Q8×C4⋊C4C22semidirect
57. D4×C4⋊C4C22semidirect
68. #2068C22semidirect
69. #2066C22semidirect
70. #2056C22semidirect
71. #2055C22semidirect
78. #1981C22semidirect
79. #1956C22semidirect
80. #1956C22semidirect
81. #1940C22semidirect
82. #1939C22semidirect
83. #1939C22semidirect
84. #1928C22semidirect
85. #1927C22semidirect
86. #1878C22semidirect
87. #1877C22semidirect

Maximal subgroups

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

subgroupindex
C2×#32182
C2×#31052
C2×#25472
#342432
#281212
#281152
#253812
#252892
#247292
#247272
#246292
#246272
#242172
#242152
#219532
#218042
#207382