Finite Group Databasebeta

← #6526714

Subgroups — #6526714

Order 512.

2230 conjugacy classes of subgroups.

The subgroup lattice has 772 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3239C211yesmaximal, characteristic, complemented
2C2×#3105C211yesmaximal, characteristic
3C2×#2542C211yesmaximal, characteristic, complemented
4#34243C211yesmaximal, characteristic, complemented
5#28123C212yesmaximal, complemented
6#28117C212yesmaximal
7#27648C212yesmaximal, complemented
8#27645C212yesmaximal, complemented
9#25465C214yesmaximal, complemented
10#25334C214yesmaximal, complemented
11#24813C212yesmaximal, complemented
12#24811C212yesmaximal, complemented
13#24678C212yesmaximal, complemented
14#24676C212yesmaximal, complemented
15#21953C211yesmaximal, characteristic, complemented
16#21834C211yesmaximal, characteristic, complemented
17#20738C211yesmaximal, characteristic, complemented
18C22×C4⋊Q8C2211yescharacteristic
19C2×#529C2211yescharacteristic
20C22×C22⋊Q8—21no—
21C22×C22⋊Q8—21no—
22C22×C4×D4C2211yescharacteristic
23#3239—28no—
24C2×#501C2212yescomplemented
25C2×#489C2212yescomplemented
26#3105—28no—
27C2×#484C2211yescharacteristic
28C2×#484C2212yes—
29C2×#481C2211yescharacteristic
30C2×#481C2212yes—
31C2×#475C2212yescomplemented
32C2×#478C2212yes—
33C2×#474C2212yescomplemented
34C2×#463C2212yes—
35C2×#450C2211yescharacteristic
36C2×#447C2211yescharacteristic
37C2×C4×SD16C2212yes—
38C2×C4×D8C2212yes—
39C2×#432C2211yescharacteristic
40C2×#431C2211yescharacteristic
41#2542—21no—
42#2542—22no—
43#2542—21no—
44#2542C2212yes—
45#2542C2212yes—
46#2542C2214yes—
47C2×#399—22no—
48#2370C2212yescomplemented
49#2367C2212yescomplemented
50#2359—22no—
51#2355C2211yescharacteristic, complemented
52#2354C2211yescharacteristic, complemented
53#2352—21no—
54Q8×C4⋊C4C2211yescharacteristic, complemented
55D4×C4⋊C4—21no—
56D4×C4⋊C4C2211yescharacteristic, complemented
57#2334—22no—
58#2314—21no—
59C4×C22⋊Q8C2212yes—
60C4×#121C2212yes—
61C2×#390C2212yes—
62#2285C2211yescharacteristic
63C2×#384C2212yes—
64#2274—21no—
65C2×C4×C4⋊C4C2211yescharacteristic
66#2084C2214yescomplemented
67#2083C2214yescomplemented
68#2072C2214yescomplemented
69#2071C2214yescomplemented
70#2067C2214yes—
71#2065C2214yes—
72#2055C2214yes—
73#2054C2214yes—
74#1990C2212yescomplemented
75#1990C2212yescomplemented
76#1987C2214yescomplemented
77#1948C2214yescomplemented
78#1947C2214yescomplemented
79#1940C2214yescomplemented
80#1939C2212yescomplemented
81#1939C2212yescomplemented
82#1926C2214yes—
83#1925C2214yes—
84#1880C2214yes—
85#1879C2214yes—
86#1824C2212yes—
87#1824C2212yes—
88#1824C2212yes—
89#1803C2214yescomplemented
90#1802C2212yes—
91#1802C2212yes—
92#1802C2214yescomplemented
93#1797C2212yes—
94#1797C2212yes—
95#1786C2212yes—
96#1762C2214yes—
97C23×Q8—21no—
98C23×D4C2311yescharacteristic
99C24×C4—21no—
100C22×SD16C2312yes—
101C22×D8C2312yes—
102C2×C4⋊Q8—21no—
103C2×C4⋊Q8—21no—
104C2×C4⋊Q8—24no—
105C2×C4⋊Q8—24no—
106C2×C4⋊Q8C2312yes—
107C2×C4⋊Q8C2312yes—
108#529—24no—
109#529D418yes—
110C2×#126—21no—
111C2×#125C2311yescharacteristic
112C2×#124C2311yescharacteristic
113C2×#123—21no—
114C2×C22⋊Q8—22no—
115C2×C22⋊Q8—22no—
116C2×C22⋊Q8—24no—
117C2×C22⋊Q8—24no—
118C2×C22⋊Q8—22no—
119C2×C22⋊Q8—22no—
120C2×C22⋊Q8—48no—
121C2×C22⋊Q8—48no—
122C2×C22⋊Q8C2311yescharacteristic
123C2×#121C2311yescharacteristic
124C2×C4×Q8C2311yescharacteristic
125C2×C4×Q8C2312yes—
126C2×C4×D4—21no—
127C2×C4×D4—22no—
128C2×C4×D4—21no—
129C2×C4×D4—21no—
130C2×C4×D4—24no—
131C2×C4×D4—24no—
132C2×C4×D4C2312yes—
133C2×C4×D4C2312yes—
134C2×C4×D4C2311yescharacteristic
135C2×C4×D4C2312yes—
136C2×#117—21no—
137C2×#117—21no—
138C2×#117—21no—
139C22×C4⋊C4—21no—
140C22×C4⋊C4—22no—
141C22×C4⋊C4—22no—
142C22×C4⋊C4—21no—
143C22×C4⋊C4D411yescharacteristic
144C22×C4⋊C4D411yescharacteristic
145C22×C4⋊C4C2311yescharacteristic
146C22×C4⋊C4C2312yes—
147C22×C22⋊C4—21no—
148C22×C22⋊C4—22no—
149C22×C22⋊C4—22no—
150C22×C42C2312yes—
151C22×C42C2311yescharacteristic
152#501—28no—
153#489—28no—
154#484—24no—
155#484—28no—
156#481—24no—
157#481—28no—
158#478—28no—
159#475—28no—
160#474—28no—
161#463—28no—
162#450—24no—
163#447—24no—
164C4×SD16—28no—
165C4×D8—28no—
166#432—24no—
167#431—24no—
168C2×#107C2312yes—
169C2×#107C2314yes—
170C2×#106C2312yes—
171C2×#106C2314yes—
172C2×C4⋊C8C2312yes—
173C2×C4⋊C8C2312yes—
174C2×C4⋊C8C2314yes—
175C2×C4⋊C8C2314yes—
176C2×#103C2314yes—
177C2×#103C2312yes—
178C2×#102C2312yes—
179C2×#102C2312yes—
180C2×#102C2314yes—
181C2×#102C2314yes—
182C2×#102C2312yes—
183C2×#102C2314yes—
184C2×C22⋊C8C2312yes—
185C2×C22⋊C8C2311yescharacteristic
186C2×C22⋊C8C2311yescharacteristic
187C2×#97C2312yes—
188C2×C4×C8C2312yes—
189#399—24no—
190#399—24no—
191#399—24no—
192#399—24no—
193#391C2312yes—
194#390—22no—
195#390—22no—
196#390C2312yes—
197#390C2314yes—
198#390C2314yes—
199#389—22no—
200#389—22no—
201#389C2312yes—
202#389C2312yes—
203#388—22no—
204#388—22no—
205#388—22no—
206#388—22no—
207#387—22no—
208#387—22no—
209#387—22no—
210#387—22no—
211#386—22no—
212#385—22no—
213#385—22no—
214#385—22no—
215#384—21no—
216#384—22no—
217#384—22no—
218#384C2311yescharacteristic
219#384C2311yescharacteristic
220#384C2314yes—
221#384C2314yes—
222#382—21no—
223#382—21no—
224#380—21no—
225#380—21no—
226#380—21no—
227#380C2312yes—
228C4×C4⋊C4—21no—
229C4×C4⋊C4—21no—
230C4×C4⋊C4—21no—
231C4×C4⋊C4—22no—
232C4×C4⋊C4—22no—
233C4×C4⋊C4D411yescharacteristic
234C4×C4⋊C4D412yes—
235C4×C4⋊C4D411yescharacteristic
236C4×C4⋊C4C2312yes—
237C4×C4⋊C4C2312yes—
238C4×C4⋊C4C2312yes—
239C4×C4⋊C4C2311yescharacteristic
240C4×C4⋊C4C2311yescharacteristic
241C4×C4⋊C4C2312yes—
242C4×C22⋊C4—22no—
243C4×C22⋊C4—22no—
244C4×C22⋊C4—22no—
245C2×#95D412yes—
246#340C2314yes—
247#340C2314yes—
248#340C2314yes—
249#340C2314yes—
250#340C2314yes—
251#340C2314yes—
252#336C2314yes—
253#336C2314yes—
254C25—21no—
255C22×Q8—22no—
256C22×Q8—22no—
257C22×Q8—44no—
258C22×Q8—44no—
259C22×Q8—44no—
260C22×Q8C2411yescharacteristic
261C22×D4—21no—
262C22×D4—24no—
263C22×D4—21no—
264C22×D4—22no—
265C22×D4—22no—
266C22×D4—42no—
267C22×D4C2411yescharacteristic
268C22×D4C2412yes—
269C23×C4—21no—
270C23×C4—22no—
271C23×C4—21no—
272C23×C4—22no—
273C23×C4—22no—
274C23×C4—22no—
275C23×C4—44no—
276C23×C4—44no—
277C23×C4—44no—
278C23×C4C2×D412yes—
279C23×C4C2×D412yes—
280C23×C4C2×D411yescharacteristic
281C23×C4C2×D411yescharacteristic
282C23×C4C2411yescharacteristic
283C2×SD16—24no—
284C2×SD16—24no—
285C2×SD16—42no—
286C2×D8—24no—
287C2×D8—24no—
288C2×D8—42no—
289C22×C8C2412yes—
290C22×C8C2412yes—
291C22×C8C2414yes—
292C4⋊Q8—24no—
293C4⋊Q8—24no—
294C4⋊Q8—24no—
295C4⋊Q8—24no—
296C4⋊Q8—44no—
297C4⋊Q8—44no—
298#126—28no—
299#125—22no—
300#125C2×D414yes—
301#124—22no—
302#124C2×D414yes—
303#123—28no—
304C22⋊Q8—22no—
305C22⋊Q8—48no—
306C22⋊Q8—48no—
307C22⋊Q8—416no—
308C22⋊Q8—416no—
309C22⋊Q8—48no—
310C22⋊Q8—48no—
311C22⋊Q8C2×D414yes—
312#121—22no—
313#121C2×D414yes—
314C4×Q8—22no—
315C4×Q8—44no—
316C4×Q8C2×D414yes—
317C4×D4—28no—
318C4×D4—24no—
319C4×D4—24no—
320C4×D4—22no—
321C4×D4—24no—
322C4×D4—24no—
323C4×D4—44no—
324C4×D4—44no—
325C4×D4—44no—
326C4×D4—84no—
327C4×D4C2×D414yes—
328#117—28no—
329#117—44no—
330#117—82no—
331C2×C4⋊C4—21no—
332C2×C4⋊C4—21no—
333C2×C4⋊C4—21no—
334C2×C4⋊C4—21no—
335C2×C4⋊C4—24no—
336C2×C4⋊C4—24no—
337C2×C4⋊C4—22no—
338C2×C4⋊C4—24no—
339C2×C4⋊C4—22no—
340C2×C4⋊C4—24no—
341C2×C4⋊C4—24no—
342C2×C4⋊C4—24no—
343C2×C4⋊C4—24no—
344C2×C4⋊C4—24no—
345C2×C4⋊C4—22no—
346C2×C4⋊C4—22no—
347C2×C4⋊C4—21no—
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—22no—
355C2×C4⋊C4—22no—
356C2×C4⋊C4—48no—
357C2×C4⋊C4—48no—
358C2×C4⋊C4—44no—
359C2×C4⋊C4—44no—
360C2×C4⋊C4C2×D411yescharacteristic
361C2×C4⋊C4C2×D411yescharacteristic
362C2×C4⋊C4C2×D412yes—
363C2×C4⋊C4C2×D412yes—
364C2×C4⋊C4C2×D411yescharacteristic
365C2×C4⋊C4C2×D411yescharacteristic
366C2×C4⋊C4C2412yes—
367C2×C4⋊C4C2414yes—
368C2×C4⋊C4C2412yes—
369C2×C4⋊C4C2412yes—
370C2×C4⋊C4C2411yescharacteristic
371C2×C4⋊C4C2411yescharacteristic
372C2×C22⋊C4—21no—
373C2×C22⋊C4—21no—
374C2×C22⋊C4—21no—
375C2×C22⋊C4—21no—
376C2×C22⋊C4—21no—
377C2×C22⋊C4—22no—
378C2×C22⋊C4—22no—
379C2×C22⋊C4—22no—
380C2×C22⋊C4—24no—
381C2×C22⋊C4—24no—
382C2×C22⋊C4—24no—
383C2×C22⋊C4—24no—
384C2×C22⋊C4—22no—
385C2×C22⋊C4—22no—
386C2×C22⋊C4—22no—
387C2×C22⋊C4—48no—
388C2×C22⋊C4—48no—
389C2×C22⋊C4—44no—
390C2×C42—21no—
391C2×C42—22no—
392C2×C42—22no—
393C2×C42—22no—
394C2×C42—22no—
395C2×C42—44no—
396C2×C42C2×D412yes—
397C2×C42C2×D412yes—
398C2×C42C2×D411yescharacteristic
399C2×C42C2×D411yescharacteristic
400C2×C42C2×D414yes—
401C2×C42#4114yes—
402C2×C42C2412yes—
403C2×C42C2412yes—
404C2×C42C2411yescharacteristic
405C2×C42C2411yescharacteristic
406#107—24no—
407#107—28no—
408#106—24no—
409#106—28no—
410C4⋊C8—24no—
411C4⋊C8—24no—
412C4⋊C8—44no—
413C4⋊C8—44no—
414#103—24no—
415#103—28no—
416#102—24no—
417#102—28no—
418#102—28no—
419#102—24no—
420#102—24no—
421#102—44no—
422C22⋊C8—22no—
423C22⋊C8—22no—
424C22⋊C8—24no—
425#97—24no—
426C4×C8—24no—
427#95—22no—
428#95—22no—
429#95—22no—
430#95—22no—
431#95—22no—
432#95—22no—
433#95—22no—
434#95—22no—
435#95C2×D412yes—
436#95C2×D412yes—
437#95C2×D412yes—
438#95C2×D412yes—
439C24—24no—
440C24—21no—
441C24—22no—
442C24—42no—
443C24—42no—
444C24—42no—
445C24—42no—
446C24—42no—
447C24—42no—
448C24C22×D411yescharacteristic
449C2×Q8—21no—
450C2×Q8—22no—
451C2×Q8—22no—
452C2×Q8—44no—
453C2×Q8—44no—
454C2×Q8—44no—
455C2×Q8—44no—
456C2×Q8—44no—
457C2×Q8—44no—
458C2×Q8—816no—
459C2×Q8C22×D412yes—
460C2×D4—24no—
461C2×D4—24no—
462C2×D4—22no—
463C2×D4—22no—
464C2×D4—21no—
465C2×D4—22no—
466C2×D4—22no—
467C2×D4—22no—
468C2×D4—22no—
469C2×D4—22no—
470C2×D4—48no—
471C2×D4—48no—
472C2×D4—42no—
473C2×D4—42no—
474C2×D4—42no—
475C2×D4—42no—
476C2×D4C22×D412yes—
477C2×D42−1+414yes—
478C22×C4—22no—
479C22×C4—22no—
480C22×C4—22no—
481C22×C4—22no—
482C22×C4—22no—
483C22×C4—22no—
484C22×C4—24no—
485C22×C4—24no—
486C22×C4—21no—
487C22×C4—21no—
488C22×C4—21no—
489C22×C4—24no—
490C22×C4—24no—
491C22×C4—24no—
492C22×C4—22no—
493C22×C4—22no—
494C22×C4—24no—
495C22×C4—22no—
496C22×C4—42no—
497C22×C4—42no—
498C22×C4—44no—
499C22×C4—44no—
500C22×C4—42no—
501C22×C4—42no—
502C22×C4—44no—
503C22×C4—44no—
504C22×C4—42no—
505C22×C4—42no—
506C22×C4—42no—
507C22×C4—44no—
508C22×C4—44no—
509C22×C4—44no—
510C22×C4—44no—
511C22×C4—44no—
512C22×C4—44no—
513C22×C4—82no—
514C22×C4—82no—
515C22×C4—816no—
516C22×C4#12114yes—
517C22×C4#12114yes—
518C22×C4C22×D412yes—
519C22×C4C22×D412yes—
520C22×C4C22×D411yescharacteristic
521C22×C4C22×D411yescharacteristic
522C22×C4C22×D411yescharacteristic
523C22×C4C22×D411yescharacteristic
524C22×C4C22×D412yes—
525C22×C4C22×D412yes—
526C22×C4C22×D412yes—
527C22×C4C22×D411yescharacteristic
528C22×C4C2×#4112yes—
529C22×C4C2511yescharacteristic
530SD16—48no—
531D8—48no—
532C2×C8—22no—
533C2×C8—22no—
534C2×C8—24no—
535C2×C8—24no—
536C2×C8—22no—
537C2×C8—22no—
538C2×C8—24no—
539C2×C8—22no—
540C2×C8—22no—
541C4⋊C4—24no—
542C4⋊C4—24no—
543C4⋊C4—24no—
544C4⋊C4—24no—
545C4⋊C4—24no—
546C4⋊C4—24no—
547C4⋊C4—22no—
548C4⋊C4—22no—
549C4⋊C4—21no—
550C4⋊C4—21no—
551C4⋊C4—22no—
552C4⋊C4—24no—
553C4⋊C4—22no—
554C4⋊C4—24no—
555C4⋊C4—24no—
556C4⋊C4—24no—
557C4⋊C4—48no—
558C4⋊C4—48no—
559C4⋊C4—42no—
560C4⋊C4—44no—
561C4⋊C4—44no—
562C4⋊C4—44no—
563C4⋊C4—44no—
564C4⋊C4—42no—
565C4⋊C4—48no—
566C4⋊C4—48no—
567C4⋊C4—42no—
568C4⋊C4—81no—
569C4⋊C4—81no—
570C4⋊C4—82no—
571C4⋊C4—82no—
572C4⋊C4AGL(1,ℤ/8)14yes—
573C4⋊C4AGL(1,ℤ/8)14yes—
574C4⋊C4C22×D412yes—
575C4⋊C4C22×D412yes—
576C22⋊C4—24no—
577C22⋊C4—24no—
578C22⋊C4—24no—
579C22⋊C4—24no—
580C22⋊C4—24no—
581C22⋊C4—48no—
582C22⋊C4—48no—
583C22⋊C4—44no—
584C22⋊C4—44no—
585C22⋊C4—44no—
586C22⋊C4—48no—
587C22⋊C4—48no—
588C22⋊C4—44no—
589C22⋊C4—82no—
590C22⋊C4—82no—
591C42—24no—
592C42—24no—
593C42—24no—
594C42—42no—
595C42—42no—
596C42—44no—
597C42—82no—
598C42—82no—
599C42—82no—
600C42#12114yes—
601C42#12114yes—
602C42C22×D412yes—
603C42C22×D412yes—
604C42C2×#4112yes—
605C42C2×#4112yes—
606C23—21no—
607C23—21no—
608C23—21no—
609C23—21no—
610C23—22no—
611C23—24no—
612C23—48no—
613C23—48no—
614C23—48no—
615C23—42no—
616C23—41no—
617C23—42no—
618C23—41no—
619C23—42no—
620C23—42no—
621C23—41no—
622C23—41no—
623C23—41no—
624C23—42no—
625C23—41no—
626C23—42no—
627C23—84no—
628C23—84no—
629C23—84no—
630C23—84no—
631C23C2×#12112yes—
632C23#57712yes—
633C23#57812yes—
634C23C23×D411yescharacteristic
635Q8—24no—
636Q8—42no—
637Q8—88no—
638Q8—88no—
639D4—24no—
640D4—24no—
641D4—24no—
642D4—48no—
643D4—48no—
644D4—42no—
645D4—42no—
646D4—42no—
647C2×C4—22no—
648C2×C4—22no—
649C2×C4—21no—
650C2×C4—21no—
651C2×C4—28no—
652C2×C4—21no—
653C2×C4—21no—
654C2×C4—21no—
655C2×C4—22no—
656C2×C4—21no—
657C2×C4—21no—
658C2×C4—21no—
659C2×C4—22no—
660C2×C4—24no—
661C2×C4—24no—
662C2×C4—28no—
663C2×C4—22no—
664C2×C4—22no—
665C2×C4—22no—
666C2×C4—22no—
667C2×C4—22no—
668C2×C4—22no—
669C2×C4—22no—
670C2×C4—22no—
671C2×C4—22no—
672C2×C4—48no—
673C2×C4—48no—
674C2×C4—41no—
675C2×C4—41no—
676C2×C4—41no—
677C2×C4—41no—
678C2×C4—41no—
679C2×C4—41no—
680C2×C4—48no—
681C2×C4—42no—
682C2×C4—44no—
683C2×C4—42no—
684C2×C4—42no—
685C2×C4—42no—
686C2×C4—44no—
687C2×C4—44no—
688C2×C4—42no—
689C2×C4—42no—
690C2×C4—42no—
691C2×C4—42no—
692C2×C4—42no—
693C2×C4—88no—
694C2×C4—84no—
695C2×C4—88no—
696C2×C4—88no—
697C2×C4—164no—
698C2×C4C2×#12112yes—
699C2×C4C2×#12112yes—
700C2×C4C2×#12112yes—
701C2×C4C2×#12112yes—
702C2×C4C2×#12112yes—
703C2×C4C2×AGL(1,ℤ/8)14yes—
704C2×C4C2×AGL(1,ℤ/8)14yes—
705C2×C4C2×AGL(1,ℤ/8)12yes—
706C2×C4C2×AGL(1,ℤ/8)12yes—
707C2×C4C23×D411yescharacteristic
708C2×C4C22×#4111yescharacteristic
709C2×C4C2×2−1+412yes—
710C2×C4#58512yes—
711C8—44no—
712C8—42no—
713C8—42no—
714C22—22no—
715C22—22no—
716C22—22no—
717C22—22no—
718C22—22no—
719C22—22no—
720C22—42no—
721C22—44no—
722C22—42no—
723C22—44no—
724C22—44no—
725C22—42no—
726C22—816no—
727C22—82no—
728C22—81no—
729C22—82no—
730C22—81no—
731C22—82no—
732C22—81no—
733C22—81no—
734C22—82no—
735C22#304614yes—
736C22C22×#12111yescharacteristic
737C22#348511yescharacteristic
738C22#348611yescharacteristic
739C22C22×AGL(1,ℤ/8)11yescharacteristic
740C22C22×AGL(1,ℤ/8)11yescharacteristic
741C22C2×#57711yescharacteristic
742C22C2×#57811yescharacteristic
743C4—22no—
744C4—22no—
745C4—24no—
746C4—24no—
747C4—22no—
748C4—22no—
749C4—42no—
750C4—42no—
751C4—42no—
752C4—42no—
753C4—42no—
754C4—82no—
755C4—82no—
756C4—82no—
757C4—84no—
758C4#303814yes—
759C4#348912yes—
760C4#349512yes—
761C2—24no—
762C2—82no—
763C2—84no—
764C2#3563311yescharacteristic
765C2C2×#303811yescharacteristic
766C2C2×#304611yescharacteristic
767C2#6172811yescharacteristic
768C2#6173711yescharacteristic
769C2#6183711yescharacteristic
770C2#6184311yescharacteristic
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×#3239C2semidirect
3. C2×#2542C2semidirect
4. #34243C2semidirect
5. #28123C2semidirect
7. #27648C2semidirect
8. #27645C2semidirect
9. #25465C2semidirect
10. #25334C2semidirect
11. #24813C2semidirect
12. #24811C2semidirect
13. #24678C2semidirect
14. #24676C2semidirect
15. #21953C2semidirect
16. #21834C2semidirect
17. #20738C2semidirect
24. C2×#501C22semidirect
25. C2×#489C22semidirect
31. C2×#475C22semidirect
33. C2×#474C22semidirect
48. #2370C22semidirect
49. #2367C22semidirect
51. #2355C22semidirect
52. #2354C22semidirect
54. Q8×C4⋊C4C22semidirect
56. D4×C4⋊C4C22semidirect
66. #2084C22semidirect
67. #2083C22semidirect
68. #2072C22semidirect
69. #2071C22semidirect
74. #1990C22semidirect
75. #1990C22semidirect
76. #1987C22semidirect
77. #1948C22semidirect
78. #1947C22semidirect
79. #1940C22semidirect
80. #1939C22semidirect
81. #1939C22semidirect
89. #1803C22semidirect
92. #1802C22semidirect

Maximal subgroups

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

subgroupindex
C2×#32392
C2×#31052
C2×#25422
#342432
#281232
#281172
#276482
#276452
#254652
#253342
#248132
#248112
#246782
#246762
#219532
#218342
#207382