Finite Group Databasebeta

← #6498413

Subgroups — #6498413

Order 512.

1948 conjugacy classes of subgroups.

The subgroup lattice has 795 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3236C211yesmaximal, characteristic, complemented
2C2×#3215C211yesmaximal, characteristic
3C2×#2861C211yesmaximal, characteristic
4C4×#533C211yesmaximal, characteristic, complemented
5#33029C214yesmaximal, complemented
6#29833C214yesmaximal, complemented
7#28659C212yesmaximal, complemented
8#28658C212yesmaximal, complemented
9#28619C212yesmaximal, complemented
10#28619C212yesmaximal, complemented
11#28124C212yesmaximal, complemented
12#28123C212yesmaximal
13#28121C212yesmaximal, complemented
14#28120C212yesmaximal
15#21838C211yesmaximal, characteristic, complemented
16#21808C211yesmaximal, characteristic
17#20810C211yesmaximal, characteristic, complemented
18C2×#533C2211yescharacteristic
19C22×#125C2211yescharacteristic
20C22×#124C2211yescharacteristic
21#3236—28no—
22#3215—28no—
23C2×#501C2212yescomplemented
24C2×#497C2212yes—
25C2×#491C2212yescomplemented
26C2×#489C2212yes—
27C2×#484C2212yes—
28C2×#483C2212yes—
29C2×#479C2214yescomplemented
30C2×#464C2214yes—
31C2×#451C2212yes—
32C2×#450C2212yes—
33C2×#432C2211yescharacteristic
34C2×#432C2211yescharacteristic
35#2861—21no—
36#2861—21no—
37#2861—21no—
38#2861—21no—
39#2861C2212yes—
40#2861C2212yes—
41#2861C2212yes—
42#2861C2212yes—
43C4×C4⋊Q8C2211yescharacteristic, complemented
44C4×C4⋊Q8C2211yescharacteristic, complemented
45C4×C4⋊Q8C2211yescharacteristic, complemented
46C4×C4⋊Q8C2211yescharacteristic, complemented
47C4×#125—21no—
48C4×#125—21no—
49C4×C22⋊Q8—21no—
50C4×C22⋊Q8—21no—
51C4×C22⋊Q8C2212yes—
52C4×C22⋊Q8C2212yes—
53#2296—21no—
54#2295—21no—
55#2295C2212yescomplemented
56C2×#391C2211yescharacteristic
57C2×#391C2211yescharacteristic
58C2×#390C2211yescharacteristic
59C2×#390C2211yescharacteristic
60C2×#388—21no—
61C2×#388—21no—
62C2×#388—21no—
63C2×#388—21no—
64#2285C2211yescharacteristic
65C42×Q8—21no—
66C42×Q8C2212yescomplemented
67C4×#117—21no—
68C2×C43C2211yescharacteristic
69#2068C2214yescomplemented
70#2067C2214yes—
71#2066C2214yescomplemented
72#2065C2214yes—
73#2056C2214yescomplemented
74#2056C2214yescomplemented
75#2055C2214yes—
76#2055C2214yes—
77#1992C2212yescomplemented
78#1992C2212yescomplemented
79#1989C2214yescomplemented
80#1983C2214yes—
81#1959C2212yes—
82#1959C2212yes—
83#1928C2214yescomplemented
84#1927C2214yescomplemented
85#1926C2214yes—
86#1925C2214yes—
87#1880C2214yes—
88#1880C2214yes—
89#1878C2214yescomplemented
90#1878C2214yescomplemented
91#1842C2212yescomplemented
92#1831C2212yescomplemented
93#1824C2212yes—
94#1823C2212yes—
95#1797C2212yes—
96#1797C2212yes—
97#1787C2212yes—
98#1786C2212yes—
99#1767C2212yescomplemented
100#1767C2212yescomplemented
101C23×Q8C2311yescharacteristic
102C23×D4C2311yescharacteristic
103C22×Q16C2314yes—
104C22×SD16C2314yes—
105#533—24no—
106#533D418yes—
107C2×C4⋊Q8C2311yescharacteristic
108C2×C4⋊Q8C2311yescharacteristic
109C2×#125—21no—
110C2×#125—21no—
111C2×#125—21no—
112C2×#125—24no—
113C2×#125—24no—
114C2×#125C2312yes—
115C2×#125C2312yes—
116C2×#124—21no—
117C2×#124—21no—
118C2×#124—24no—
119C2×#124—24no—
120C2×#124C2312yes—
121C2×#124C2312yes—
122C2×C22⋊Q8—21no—
123C2×C22⋊Q8C2312yes—
124C2×C4×Q8—21no—
125C2×C4×Q8—21no—
126C2×C4×Q8—21no—
127C2×C4×Q8C2312yes—
128C2×C4×Q8C2312yes—
129C2×C4×Q8C2312yes—
130C2×#117—21no—
131C2×#117—21no—
132C22×C4⋊C4—21no—
133C22×C4⋊C4—21no—
134C22×C4⋊C4C2311yescharacteristic
135C22×C4⋊C4C2311yescharacteristic
136C22×C22⋊C4—21no—
137C22×C22⋊C4—21no—
138C22×C22⋊C4—21no—
139C22×C22⋊C4—21no—
140C22×C22⋊C4—21no—
141C22×C22⋊C4—21no—
142C22×C42D411yescharacteristic
143C22×C42D411yescharacteristic
144C22×C42D411yescharacteristic
145C22×C42D411yescharacteristic
146C22×C42C2311yescharacteristic
147C22×C42C2311yescharacteristic
148C22×C42C2311yescharacteristic
149#501—28no—
150#497—28no—
151#491—28no—
152#489—28no—
153#484—28no—
154#483—28no—
155#479—216no—
156#464—216no—
157#451—28no—
158#450—28no—
159#432—24no—
160#432—24no—
161C2×#107C2314yes—
162C2×#106C2314yes—
163C2×C4⋊C8C2312yes—
164C2×C4⋊C8C2312yes—
165C2×C4⋊C8C2314yes—
166C2×C4⋊C8C2314yes—
167C2×#103C2314yes—
168C2×#103C2314yes—
169C2×#103C2314yes—
170C2×#103C2314yes—
171C2×#103C2314yes—
172C2×#102C2314yes—
173C2×#102C2314yes—
174C2×#102C2314yes—
175C2×C22⋊C8C2312yes—
176C2×C22⋊C8C2312yes—
177C2×#97C2312yes—
178C2×#97C2312yes—
179#391—21no—
180#391—21no—
181#391—21no—
182#391—21no—
183#391—21no—
184#391—21no—
185#391C2312yes—
186#391C2312yes—
187#391C2312yes—
188#391C2312yes—
189#391C2312yes—
190#391C2312yes—
191#390—21no—
192#390—21no—
193#390—21no—
194#390—21no—
195#390C2312yes—
196#390C2312yes—
197#390C2312yes—
198#390C2312yes—
199#389—21no—
200#389—21no—
201#389—21no—
202#389—21no—
203#389—21no—
204#389—21no—
205#389C2312yes—
206#389C2312yes—
207#388—22no—
208#388—22no—
209#388—22no—
210#388—22no—
211#388—22no—
212#388—22no—
213#388—22no—
214#388—22no—
215#388—22no—
216#388—22no—
217#388—22no—
218#388—22no—
219#388—22no—
220#388—22no—
221#388—22no—
222#388—22no—
223#387—22no—
224#387—22no—
225#387—22no—
226#387—22no—
227#385—22no—
228#385—22no—
229#384C2311yescharacteristic
230#384C2311yescharacteristic
231#382—21no—
232#380—21no—
233#380C2312yes—
234C4×C4⋊C4—21no—
235C4×C4⋊C4—21no—
236C4×C4⋊C4—21no—
237C4×C4⋊C4—21no—
238C4×C4⋊C4—22no—
239C4×C4⋊C4—22no—
240C4×C4⋊C4—22no—
241C4×C4⋊C4—22no—
242C4×C4⋊C4—21no—
243C4×C4⋊C4—21no—
244C4×C4⋊C4—21no—
245C4×C4⋊C4—22no—
246C4×C4⋊C4—22no—
247C4×C4⋊C4C2312yes—
248C4×C4⋊C4C2312yes—
249C4×C4⋊C4C2312yes—
250C4×C22⋊C4—22no—
251C4×C22⋊C4—22no—
252#376—22no—
253C2×#95—21no—
254C2×#95—21no—
255C2×#95—21no—
256C2×#95—21no—
257C43—22no—
258C43D411yescharacteristic
259C43D411yescharacteristic
260C43D411yescharacteristic
261C43D411yescharacteristic
262C43C2311yescharacteristic
263C43C2311yescharacteristic
264C43C2311yescharacteristic
265C43C2311yescharacteristic
266#340C2314yes—
267#340C2314yes—
268#340C2314yes—
269#340C2314yes—
270#336C2314yes—
271#336C2314yes—
272C25—21no—
273C22×Q8—21no—
274C22×Q8—21no—
275C22×Q8—22no—
276C22×Q8—22no—
277C22×Q8—42no—
278C22×Q8—42no—
279C22×Q8C2412yes—
280C22×Q8C2412yes—
281C22×D4—22no—
282C22×D4—21no—
283C22×D4—22no—
284C22×D4—42no—
285C22×D4—42no—
286C22×D4C2412yes—
287C23×C4—21no—
288C23×C4—21no—
289C23×C4—21no—
290C23×C4C2×D411yescharacteristic
291C23×C4C2×D411yescharacteristic
292C23×C4C2×D411yescharacteristic
293C23×C4C2×D411yescharacteristic
294C23×C4C2×D411yescharacteristic
295C23×C4C2×D411yescharacteristic
296C23×C4C2411yescharacteristic
297C2×Q16—28no—
298C2×Q16—44no—
299C2×Q16—44no—
300C2×SD16—28no—
301C2×SD16—44no—
302C2×SD16—44no—
303C22×C8C2414yes—
304C22×C8C2414yes—
305C4⋊Q8—22no—
306C4⋊Q8—22no—
307C4⋊Q8C2×D414yes—
308C4⋊Q8C2×D414yes—
309#125—28no—
310#125—24no—
311#125—24no—
312#125—24no—
313#125—24no—
314#125—44no—
315#125—44no—
316#124—24no—
317#124—24no—
318#124—24no—
319#124—24no—
320#124—44no—
321#124—44no—
322C22⋊Q8—28no—
323C22⋊Q8—24no—
324C22⋊Q8C2×D418yes—
325C4×Q8—28no—
326C4×Q8—24no—
327C4×Q8—44no—
328C4×Q8—44no—
329C4×Q8—44no—
330C4×Q8—44no—
331C4×Q8C2×D418yes—
332#117—28no—
333#117—44no—
334C2×C4⋊C4—21no—
335C2×C4⋊C4—21no—
336C2×C4⋊C4—21no—
337C2×C4⋊C4—22no—
338C2×C4⋊C4—22no—
339C2×C4⋊C4—22no—
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—21no—
352C2×C4⋊C4—21no—
353C2×C4⋊C4—22no—
354C2×C4⋊C4—22no—
355C2×C4⋊C4—22no—
356C2×C4⋊C4—22no—
357C2×C4⋊C4—44no—
358C2×C4⋊C4—44no—
359C2×C4⋊C4C2412yes—
360C2×C4⋊C4C2412yes—
361C2×C4⋊C4C2412yes—
362C2×C4⋊C4C2412yes—
363C2×C4⋊C4C2412yes—
364C2×C22⋊C4—22no—
365C2×C22⋊C4—22no—
366C2×C22⋊C4—22no—
367C2×C22⋊C4—22no—
368C2×C22⋊C4—22no—
369C2×C22⋊C4—22no—
370C2×C22⋊C4—22no—
371C2×C22⋊C4—22no—
372C2×C22⋊C4—22no—
373C2×C22⋊C4—22no—
374C2×C22⋊C4—22no—
375C2×C22⋊C4—22no—
376C2×C22⋊C4—22no—
377C2×C22⋊C4—22no—
378C2×C22⋊C4—44no—
379C2×C22⋊C4—44no—
380C2×C22⋊C4—44no—
381C2×C22⋊C4—44no—
382C2×C22⋊C4—44no—
383C2×C22⋊C4—44no—
384C2×C42—24no—
385C2×C42—22no—
386C2×C42—22no—
387C2×C42—22no—
388C2×C42—22no—
389C2×C42—22no—
390C2×C42—22no—
391C2×C42—42no—
392C2×C42—42no—
393C2×C42—42no—
394C2×C42—42no—
395C2×C42—42no—
396C2×C42C2×D411yescharacteristic
397C2×C42C2×D411yescharacteristic
398C2×C42C2×D411yescharacteristic
399C2×C42C2×D411yescharacteristic
400C2×C42C2×D411yescharacteristic
401C2×C42C2×D411yescharacteristic
402C2×C42C2×D411yescharacteristic
403C2×C42C2×D411yescharacteristic
404C2×C42C2×D411yescharacteristic
405C2×C42C2×D411yescharacteristic
406C2×C42C2×D411yescharacteristic
407C2×C42C2×D411yescharacteristic
408C2×C42C2×D411yescharacteristic
409C2×C42C2×D411yescharacteristic
410C2×C42C2×D411yescharacteristic
411C2×C42C2×D411yescharacteristic
412C2×C42C2×D411yescharacteristic
413C2×C42C2×D411yescharacteristic
414C2×C42C2×D411yescharacteristic
415C2×C42C2×D411yescharacteristic
416C2×C42C2×D411yescharacteristic
417C2×C42C2×D411yescharacteristic
418C2×C42C2×D414yes—
419C2×C42#4114yes—
420C2×C42C2411yescharacteristic
421C2×C42C2411yescharacteristic
422C2×C42C2411yescharacteristic
423C2×C42C2411yescharacteristic
424C2×C42C2411yescharacteristic
425C2×C42C2411yescharacteristic
426#107—28no—
427#106—28no—
428C4⋊C8—24no—
429C4⋊C8—24no—
430C4⋊C8—44no—
431C4⋊C8—44no—
432#103—28no—
433#103—28no—
434#103—28no—
435#103—44no—
436#103—44no—
437#102—28no—
438#102—44no—
439#102—44no—
440C22⋊C8—24no—
441C22⋊C8—24no—
442#97—24no—
443#97—24no—
444#95—22no—
445#95—22no—
446#95—22no—
447#95—22no—
448#95—22no—
449#95—22no—
450#95—22no—
451#95—22no—
452#95—22no—
453#95—22no—
454#95—22no—
455#95—22no—
456#95—22no—
457#95—22no—
458#95—22no—
459#95—22no—
460#95—22no—
461#95—22no—
462C24—22no—
463C24—42no—
464C24—42no—
465C24—42no—
466C24—42no—
467C24—42no—
468C24—42no—
469C24—42no—
470C24C22×D411yescharacteristic
471C2×Q8—24no—
472C2×Q8—22no—
473C2×Q8—22no—
474C2×Q8—22no—
475C2×Q8—24no—
476C2×Q8—24no—
477C2×Q8—24no—
478C2×Q8—24no—
479C2×Q8—42no—
480C2×Q8—42no—
481C2×Q8—42no—
482C2×Q8—42no—
483C2×Q8—42no—
484C2×Q8—84no—
485C2×Q8—84no—
486C2×Q8C22×D414yes—
487C2×D4—22no—
488C2×D4—22no—
489C2×D4—24no—
490C2×D4—24no—
491C2×D4—42no—
492C2×D4—42no—
493C2×D4—42no—
494C2×D4—84no—
495C2×D4—84no—
496C22×C4—22no—
497C22×C4—22no—
498C22×C4—22no—
499C22×C4—22no—
500C22×C4—22no—
501C22×C4—22no—
502C22×C4—22no—
503C22×C4—22no—
504C22×C4—22no—
505C22×C4—22no—
506C22×C4—22no—
507C22×C4—22no—
508C22×C4—22no—
509C22×C4—22no—
510C22×C4—22no—
511C22×C4—22no—
512C22×C4—41no—
513C22×C4—41no—
514C22×C4—41no—
515C22×C4—41no—
516C22×C4—41no—
517C22×C4—41no—
518C22×C4—41no—
519C22×C4—41no—
520C22×C4—42no—
521C22×C4—42no—
522C22×C4—42no—
523C22×C4—42no—
524C22×C4—42no—
525C22×C4—42no—
526C22×C4—42no—
527C22×C4—42no—
528C22×C4—42no—
529C22×C4#12114yes—
530C22×C4#12114yes—
531C22×C4#13714yes—
532C22×C4C22×D411yescharacteristic
533C22×C4C22×D411yescharacteristic
534C22×C4C22×D411yescharacteristic
535C22×C4C22×D411yescharacteristic
536C22×C4C22×D411yescharacteristic
537C22×C4C22×D411yescharacteristic
538C22×C4C22×D411yescharacteristic
539C22×C4C22×D411yescharacteristic
540C22×C4C22×D411yescharacteristic
541C22×C4C22×D412yes—
542C22×C4C22×D411yescharacteristic
543C22×C4C22×D411yescharacteristic
544C22×C4C22×D411yescharacteristic
545C22×C4C22×D411yescharacteristic
546C22×C4C2×#4112yes—
547C22×C4C2511yescharacteristic
548Q16—88no—
549SD16—88no—
550C2×C8—24no—
551C2×C8—24no—
552C2×C8—24no—
553C2×C8—24no—
554C2×C8—24no—
555C2×C8—24no—
556C4⋊C4—24no—
557C4⋊C4—24no—
558C4⋊C4—24no—
559C4⋊C4—28no—
560C4⋊C4—28no—
561C4⋊C4—22no—
562C4⋊C4—22no—
563C4⋊C4—22no—
564C4⋊C4—22no—
565C4⋊C4—22no—
566C4⋊C4—24no—
567C4⋊C4—24no—
568C4⋊C4—42no—
569C4⋊C4—42no—
570C4⋊C4—42no—
571C4⋊C4—42no—
572C4⋊C4—44no—
573C4⋊C4—44no—
574C4⋊C4—44no—
575C4⋊C4—42no—
576C4⋊C4—42no—
577C4⋊C4—44no—
578C4⋊C4—44no—
579C4⋊C4—44no—
580C4⋊C4—44no—
581C4⋊C4—44no—
582C4⋊C4C22×D414yes—
583C22⋊C4—28no—
584C22⋊C4—44no—
585C22⋊C4—44no—
586C22⋊C4—44no—
587C22⋊C4—44no—
588C22⋊C4—44no—
589C22⋊C4—44no—
590C22⋊C4—44no—
591C22⋊C4—44no—
592C22⋊C4—44no—
593C22⋊C4—44no—
594C22⋊C4—44no—
595C22⋊C4—44no—
596C22⋊C4—44no—
597C42—28no—
598C42—22no—
599C42—22no—
600C42—22no—
601C42—22no—
602C42—22no—
603C42—22no—
604C42—22no—
605C42—22no—
606C42—22no—
607C42—22no—
608C42—22no—
609C42—22no—
610C42—41no—
611C42—41no—
612C42—41no—
613C42—41no—
614C42—41no—
615C42—41no—
616C42—41no—
617C42—41no—
618C42—41no—
619C42—41no—
620C42—41no—
621C42—41no—
622C42—44no—
623C42—44no—
624C42—44no—
625C42—44no—
626C42—44no—
627C42#12114yes—
628C42#12114yes—
629C42C22×D412yes—
630C42C22×D412yes—
631C42C2×#4112yes—
632C42C2×#4112yes—
633C23—21no—
634C23—21no—
635C23—21no—
636C23—21no—
637C23—42no—
638C23—42no—
639C23—42no—
640C23—42no—
641C23—42no—
642C23—42no—
643C23—42no—
644C23—84no—
645C23—84no—
646C23—84no—
647C23—84no—
648C23—84no—
649C23—84no—
650C23—84no—
651C23C2×#12112yes—
652C23C2×#13712yes—
653C23#57512yes—
654C23C23×D411yescharacteristic
655Q8—28no—
656Q8—48no—
657Q8—44no—
658Q8—44no—
659Q8—44no—
660Q8—84no—
661D4—44no—
662D4—44no—
663D4—84no—
664C2×C4—21no—
665C2×C4—21no—
666C2×C4—21no—
667C2×C4—21no—
668C2×C4—21no—
669C2×C4—21no—
670C2×C4—28no—
671C2×C4—21no—
672C2×C4—21no—
673C2×C4—21no—
674C2×C4—21no—
675C2×C4—21no—
676C2×C4—21no—
677C2×C4—21no—
678C2×C4—21no—
679C2×C4—21no—
680C2×C4—21no—
681C2×C4—21no—
682C2×C4—21no—
683C2×C4—24no—
684C2×C4—24no—
685C2×C4—24no—
686C2×C4—24no—
687C2×C4—21no—
688C2×C4—21no—
689C2×C4—21no—
690C2×C4—21no—
691C2×C4—21no—
692C2×C4—21no—
693C2×C4—21no—
694C2×C4—21no—
695C2×C4—21no—
696C2×C4—21no—
697C2×C4—21no—
698C2×C4—21no—
699C2×C4—44no—
700C2×C4—44no—
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—42no—
713C2×C4—42no—
714C2×C4—42no—
715C2×C4—42no—
716C2×C4—42no—
717C2×C4—42no—
718C2×C4—42no—
719C2×C4—42no—
720C2×C4—42no—
721C2×C4—42no—
722C2×C4—42no—
723C2×C4—84no—
724C2×C4—84no—
725C2×C4—84no—
726C2×C4C2×#12112yes—
727C2×C4C2×#12112yes—
728C2×C4C2×#12112yes—
729C2×C4C2×#12112yes—
730C2×C4C2×#12112yes—
731C2×C4C2×#13712yes—
732C2×C4C2×#13712yes—
733C2×C4#57512yes—
734C2×C4#57512yes—
735C2×C4C23×D411yescharacteristic
736C2×C4C22×#4111yescharacteristic
737C2×C4#58512yes—
738C2×C4#58512yes—
739C8—44no—
740C8—44no—
741C22—22no—
742C22—22no—
743C22—22no—
744C22—22no—
745C22—22no—
746C22—22no—
747C22—82no—
748C22—82no—
749C22—82no—
750C22—82no—
751C22—82no—
752C22—82no—
753C22—82no—
754C22—168no—
755C22#303714yes—
756C22C22×#12111yescharacteristic
757C22#344911yescharacteristic
758C22#344911yescharacteristic
759C22C22×#13711yescharacteristic
760C22C2×#57511yescharacteristic
761C22C2×#57511yescharacteristic
762C22C2×#57511yescharacteristic
763C4—22no—
764C4—22no—
765C4—22no—
766C4—22no—
767C4—22no—
768C4—22no—
769C4—22no—
770C4—22no—
771C4—22no—
772C4—41no—
773C4—41no—
774C4—41no—
775C4—41no—
776C4—44no—
777C4—44no—
778C4—82no—
779C4—82no—
780C4—82no—
781C4—82no—
782C4—82no—
783C4#350012yes—
784C4#351012yes—
785C2—24no—
786C2—162no—
787C2#3532711yescharacteristic
788C2C2×#303711yescharacteristic
789C2#6041511yescharacteristic
790C2#6095011yescharacteristic
791C2#6095411yescharacteristic
792C2#6095911yescharacteristic
793C2#6096011yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
prime radicalC23×D4C23
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ C2×C43 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C2×#3236C2semidirect
4. C4×#533C2semidirect
5. #33029C2semidirect
6. #29833C2semidirect
7. #28659C2semidirect
8. #28658C2semidirect
9. #28619C2semidirect
10. #28619C2semidirect
11. #28124C2semidirect
13. #28121C2semidirect
15. #21838C2semidirect
17. #20810C2semidirect
23. C2×#501C22semidirect
25. C2×#491C22semidirect
29. C2×#479C22semidirect
43. C4×C4⋊Q8C22semidirect
44. C4×C4⋊Q8C22semidirect
45. C4×C4⋊Q8C22semidirect
46. C4×C4⋊Q8C22semidirect
55. #2295C22semidirect
66. C42×Q8C22semidirect
69. #2068C22semidirect
71. #2066C22semidirect
73. #2056C22semidirect
74. #2056C22semidirect
77. #1992C22semidirect
78. #1992C22semidirect
79. #1989C22semidirect
83. #1928C22semidirect
84. #1927C22semidirect
89. #1878C22semidirect
90. #1878C22semidirect
91. #1842C22semidirect
92. #1831C22semidirect
99. #1767C22semidirect
100. #1767C22semidirect

Maximal subgroups

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

subgroupindex
C2×#32362
C2×#32152
C2×#28612
C4×#5332
#330292
#298332
#286592
#286582
#286192
#281242
#281232
#281212
#281202
#218382
#218082
#208102