Finite Group Databasebeta

← #6446097

Subgroups — #6446097

Order 512.

2052 conjugacy classes of subgroups.

The subgroup lattice has 763 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3166C211yesmaximal, characteristic, complemented
2C2×#3077C211yesmaximal, characteristic
3C2×#2566C211yesmaximal, characteristic
4#34145C211yesmaximal, characteristic, complemented
5#25462C214yesmaximal, complemented
6#25461C214yesmaximal, complemented
7#25458C214yesmaximal, complemented
8#25457C214yesmaximal, complemented
9#23659C211yesmaximal, characteristic, complemented
10#23658C211yesmaximal, characteristic, complemented
11#23618C211yesmaximal, characteristic
12#23618C211yesmaximal, characteristic
13#21314C211yesmaximal, characteristic, complemented
14#21172C211yesmaximal, characteristic, complemented
15#21171C211yesmaximal, characteristic, complemented
16#21146C211yesmaximal, characteristic, complemented
17#21060C211yesmaximal, characteristic
18#21060C211yesmaximal, characteristic
19C4×#418C211yesmaximal, characteristic
20C2×#533C2211yescharacteristic
21C22×#125C2211yescharacteristic
22C22×C4×D4C2211yescharacteristic
23#3166—28no—
24C2×#501C2212yescomplemented
25C2×#501C2212yescomplemented
26C2×#499C2212yescomplemented
27C2×#499C2212yescomplemented
28#3077—28no—
29C2×#478C2212yes—
30C2×#478C2212yes—
31C2×#476C2212yes—
32C2×#474C2212yes—
33C2×#428C2211yescharacteristic
34C2×#428C2211yescharacteristic
35C2×#428C2211yescharacteristic
36C2×#428C2211yescharacteristic
37C2×#428C2211yescharacteristic
38C2×#428C2211yescharacteristic
39C2×#423C2211yescharacteristic
40C2×#423C2211yescharacteristic
41C2×#423C2211yescharacteristic
42C2×#418C2211yescharacteristic
43C2×#418C2211yescharacteristic
44C2×#418C2211yescharacteristic
45C2×#418C2211yescharacteristic
46C2×C4×M16C2211yescharacteristic
47#2566—21no—
48#2566—21no—
49#2566—21no—
50#2566—21no—
51#2566C2214yes—
52#2566C2214yes—
53C2×#396—22no—
54#2370C2212yescomplemented
55#2370C2212yescomplemented
56#2369C2212yescomplemented
57#2368—22no—
58#2365C2212yescomplemented
59#2360—22no—
60#2296C2211yescharacteristic
61#2296C2211yescharacteristic
62#2295—21no—
63#2295—21no—
64#2295—21no—
65C2×#390C2211yescharacteristic
66C2×#390C2211yescharacteristic
67C2×#385—22no—
68C2×#384C2211yescharacteristic
69C2×#382C2211yescharacteristic
70C42×Q8—21no—
71C4×#117C2211yescharacteristic
72C4×#117C2211yescharacteristic
73C4×#117C2211yescharacteristic
74C2×C4×C4⋊C4C2211yescharacteristic
75#2085C2214yescomplemented
76#2085C2214yescomplemented
77#2084C2214yescomplemented
78#2083C2214yescomplemented
79#2067C2214yes—
80#2067C2214yes—
81#2065C2214yes—
82#2065C2214yes—
83#1989C2214yescomplemented
84#1989C2214yescomplemented
85#1949C2214yescomplemented
86#1949C2214yescomplemented
87#1948C2214yescomplemented
88#1947C2214yescomplemented
89#1940C2214yescomplemented
90#1939C2214yescomplemented
91#1926C2214yes—
92#1926C2214yes—
93#1925C2214yes—
94#1925C2214yes—
95#1762C2214yes—
96C4×#102C2214yes—
97#1736C2211yescharacteristic
98#1736C2211yescharacteristic
99#1736C2211yescharacteristic
100#1736C2211yescharacteristic
101#1736C2211yescharacteristic
102#1736C2211yescharacteristic
103#1728C2211yescharacteristic
104#1728C2211yescharacteristic
105C23×D4C2311yescharacteristic
106C24×C4—21no—
107C22×M16C2311yescharacteristic
108C22×M16C2311yescharacteristic
109C22×M16C2311yescharacteristic
110C22×M16C2311yescharacteristic
111#533—24no—
112#533D418yes—
113C2×C4⋊Q8C2311yescharacteristic
114C2×C4⋊Q8C2311yescharacteristic
115C2×#125—21no—
116C2×#125—21no—
117C2×#125—24no—
118C2×#125—24no—
119C2×#125C2312yes—
120C2×#125C2312yes—
121C2×#125C2311yescharacteristic
122C2×#125C2311yescharacteristic
123C2×C22⋊Q8—21no—
124C2×C22⋊Q8—21no—
125C2×C4×Q8—22no—
126C2×C4×Q8—21no—
127C2×C4×Q8—21no—
128C2×C4×D4—21no—
129C2×C4×D4—21no—
130C2×C4×D4—24no—
131C2×C4×D4—24no—
132C2×C4×D4C2312yes—
133C2×C4×D4C2312yes—
134C2×#117C2311yescharacteristic
135C2×#117C2311yescharacteristic
136C2×#117C2311yescharacteristic
137C2×#117C2311yescharacteristic
138C22×C4⋊C4—21no—
139C22×C4⋊C4—21no—
140C22×C4⋊C4—22no—
141C22×C4⋊C4D412yes—
142C22×C4⋊C4C2311yescharacteristic
143C22×C4⋊C4C2311yescharacteristic
144C22×C4⋊C4C2311yescharacteristic
145C22×C22⋊C4—21no—
146C22×C22⋊C4—22no—
147C22×C22⋊C4—22no—
148C22×C42C2311yescharacteristic
149C22×C42C2311yescharacteristic
150C22×C42C2311yescharacteristic
151#501—28no—
152#501—28no—
153#499—28no—
154#499—28no—
155#478—28no—
156#478—28no—
157#476—28no—
158#474—28no—
159#428—24no—
160#428—24no—
161#428—24no—
162#428—24no—
163#428—24no—
164#428—24no—
165C2×#107C2312yes—
166C2×#107C2312yes—
167C2×#107C2312yes—
168C2×#107C2312yes—
169C2×#107C2312yes—
170C2×#107C2312yes—
171C2×#106C2312yes—
172C2×#106C2312yes—
173C2×#106C2312yes—
174C2×#106C2312yes—
175C2×#106C2312yes—
176C2×#106C2312yes—
177#423—24no—
178#423—24no—
179#423—24no—
180C2×C4⋊C8C2312yes—
181C2×C4⋊C8C2314yes—
182C2×C4⋊C8C2314yes—
183C2×C4⋊C8C2312yes—
184#418—24no—
185#418—24no—
186#418—24no—
187#418Q818yescomplemented
188C2×#102C2312yes—
189C2×#102C2312yes—
190C2×#102C2312yes—
191C2×#102C2312yes—
192C2×#102C2314yes—
193C2×#102C2314yes—
194C4×M16—24no—
195C2×#97C2312yes—
196C2×C4×C8C2312yes—
197#396—24no—
198#396—24no—
199#396—24no—
200#396—24no—
201#391—22no—
202#391—22no—
203#391—22no—
204#390—21no—
205#390—21no—
206#390—21no—
207#390—21no—
208#390C2314yes—
209#390C2314yes—
210#389—22no—
211#389—22no—
212#389—22no—
213#389C2312yes—
214#389C2312yes—
215#389C2312yes—
216#389C2312yes—
217#387—22no—
218#387—22no—
219#387—22no—
220#387—22no—
221#387—22no—
222#387—22no—
223#385—22no—
224#385—22no—
225#385—24no—
226#385—24no—
227#385—24no—
228#385—24no—
229#384—21no—
230#384—21no—
231#384C2314yes—
232#382—21no—
233#382—21no—
234#382C2314yes—
235C4×C4⋊C4—22no—
236C4×C4⋊C4—21no—
237C4×C4⋊C4—21no—
238C4×C4⋊C4—21no—
239C4×C4⋊C4—21no—
240C4×C4⋊C4—22no—
241C4×C4⋊C4—22no—
242C4×C4⋊C4D411yescharacteristic
243C4×C4⋊C4D411yescharacteristic
244C4×C4⋊C4D411yescharacteristic
245C4×C4⋊C4D411yescharacteristic
246C4×C4⋊C4C2312yes—
247C4×C4⋊C4C2312yes—
248C4×C4⋊C4C2312yes—
249C4×C4⋊C4C2312yes—
250C4×C4⋊C4C2312yes—
251C4×C4⋊C4C2312yes—
252C4×C4⋊C4C2312yes—
253C4×C4⋊C4C2312yes—
254C4×C22⋊C4—21no—
255C4×C22⋊C4—22no—
256C4×C22⋊C4—22no—
257C4×C22⋊C4—21no—
258#376—21no—
259#376—21no—
260#376—21no—
261C2×#95—22no—
262C2×#95D412yes—
263C43—21no—
264C43—21no—
265C43—21no—
266#340C2314yes—
267#340C2314yes—
268#340C2314yes—
269#340C2314yes—
270#340C2314yes—
271#340C2314yes—
272#336C2314yes—
273#336C2314yes—
274C25—21no—
275C22×Q8—21no—
276C22×Q8—21no—
277C22×D4—22no—
278C22×D4—21no—
279C22×D4—22no—
280C22×D4—22no—
281C22×D4—22no—
282C22×D4—22no—
283C22×D4C2×Q814yes—
284C22×D4C2412yes—
285C23×C4—21no—
286C23×C4—21no—
287C23×C4—21no—
288C23×C4—22no—
289C23×C4—22no—
290C23×C4—44no—
291C23×C4—84no—
292C23×C4C2×D412yes—
293C23×C4C2×D412yes—
294C23×C4C2×D411yescharacteristic
295C23×C4C2×D411yescharacteristic
296C23×C4C2411yescharacteristic
297C2×M16—22no—
298C2×M16—22no—
299C2×M16—22no—
300C2×M16—22no—
301C2×M16—22no—
302C2×M16—22no—
303C2×M16—22no—
304C2×M16—22no—
305C2×M16—22no—
306C2×M16—22no—
307C2×M16C2×Q814yes—
308C2×M16#4114yes—
309C22×C8C2412yes—
310C22×C8C2412yes—
311C22×C8C2412yes—
312C22×C8C2412yes—
313C4⋊Q8—22no—
314C4⋊Q8—22no—
315C4⋊Q8C2×D414yes—
316C4⋊Q8C2×D414yes—
317#125—24no—
318#125—24no—
319#125—22no—
320#125—22no—
321#125—24no—
322#125—24no—
323#125—44no—
324#125—44no—
325#125C2×D414yes—
326#125C2×D414yes—
327C22⋊Q8—28no—
328C22⋊Q8—28no—
329C4×Q8—28no—
330C4×Q8—28no—
331C4×Q8—48no—
332C4×D4—24no—
333C4×D4—24no—
334C4×D4—24no—
335C4×D4—24no—
336C4×D4—44no—
337C4×D4—44no—
338#117—22no—
339#117—22no—
340#117—22no—
341#117—22no—
342#117—22no—
343#117C2×D414yes—
344#117C2×D414yes—
345#117C2×Q814yes—
346C2×C4⋊C4—21no—
347C2×C4⋊C4—21no—
348C2×C4⋊C4—21no—
349C2×C4⋊C4—21no—
350C2×C4⋊C4—21no—
351C2×C4⋊C4—21no—
352C2×C4⋊C4—22no—
353C2×C4⋊C4—22no—
354C2×C4⋊C4—22no—
355C2×C4⋊C4—22no—
356C2×C4⋊C4—22no—
357C2×C4⋊C4—22no—
358C2×C4⋊C4—22no—
359C2×C4⋊C4—22no—
360C2×C4⋊C4—22no—
361C2×C4⋊C4—22no—
362C2×C4⋊C4—21no—
363C2×C4⋊C4—21no—
364C2×C4⋊C4—21no—
365C2×C4⋊C4—22no—
366C2×C4⋊C4—22no—
367C2×C4⋊C4—24no—
368C2×C4⋊C4—24no—
369C2×C4⋊C4—22no—
370C2×C4⋊C4—22no—
371C2×C4⋊C4—44no—
372C2×C4⋊C4—44no—
373C2×C4⋊C4—44no—
374C2×C4⋊C4—84no—
375C2×C4⋊C4C2×D412yes—
376C2×C4⋊C4C2×D412yes—
377C2×C4⋊C4C2×D412yes—
378C2×C4⋊C4C2×D412yes—
379C2×C4⋊C4C2412yes—
380C2×C4⋊C4C2412yes—
381C2×C4⋊C4C2412yes—
382C2×C4⋊C4C2412yes—
383C2×C4⋊C4C2411yescharacteristic
384C2×C4⋊C4C2411yescharacteristic
385C2×C4⋊C4C2411yescharacteristic
386C2×C4⋊C4C2411yescharacteristic
387C2×C4⋊C4C2412yes—
388C2×C22⋊C4—21no—
389C2×C22⋊C4—21no—
390C2×C22⋊C4—21no—
391C2×C22⋊C4—21no—
392C2×C22⋊C4—22no—
393C2×C22⋊C4—22no—
394C2×C22⋊C4—24no—
395C2×C22⋊C4—24no—
396C2×C22⋊C4—24no—
397C2×C22⋊C4—24no—
398C2×C22⋊C4—48no—
399C2×C22⋊C4—44no—
400C2×C22⋊C4—84no—
401C2×C42—21no—
402C2×C42—21no—
403C2×C42—21no—
404C2×C42—22no—
405C2×C42—22no—
406C2×C42—22no—
407C2×C42—22no—
408C2×C42—21no—
409C2×C42—22no—
410C2×C42—22no—
411C2×C42—22no—
412C2×C42—22no—
413C2×C42—22no—
414C2×C42—22no—
415C2×C42C2×D411yescharacteristic
416C2×C42C2×D411yescharacteristic
417C2×C42C2×D411yescharacteristic
418C2×C42C2×D411yescharacteristic
419C2×C42C2×D411yescharacteristic
420C2×C42C2×D411yescharacteristic
421C2×C42C2×D414yes—
422C2×C42#4114yes—
423C2×C42C2412yes—
424C2×C42C2412yes—
425C2×C42C2411yescharacteristic
426C2×C42C2411yescharacteristic
427#107—24no—
428#107—24no—
429#107—24no—
430#107—24no—
431#107—24no—
432#107—24no—
433#106—24no—
434#106—24no—
435#106—24no—
436#106—24no—
437#106—24no—
438#106—24no—
439C4⋊C8—28no—
440C4⋊C8—28no—
441C4⋊C8—24no—
442C4⋊C8—24no—
443#102—28no—
444#102—24no—
445#102—24no—
446#102—24no—
447#102—24no—
448#102C2×Q8116yes—
449#97—24no—
450C4×C8—24no—
451#95—24no—
452#95—24no—
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—
462#95—22no—
463#95C2×D412yes—
464#95C2×D412yes—
465#95C2×D412yes—
466#95C2×D412yes—
467C24—24no—
468C24—22no—
469C24—44no—
470C24—44no—
471C24—42no—
472C24—42no—
473C24C22×D411yescharacteristic
474C2×Q8—24no—
475C2×Q8—24no—
476C2×Q8—44no—
477C2×Q8—82no—
478C2×D4—28no—
479C2×D4—28no—
480C2×D4—24no—
481C2×D4—22no—
482C2×D4—22no—
483C2×D4—22no—
484C2×D4—22no—
485C2×D4—22no—
486C2×D4—42no—
487C2×D4—44no—
488C2×D4—42no—
489C2×D4—44no—
490C2×D4C22×Q814yes—
491C22×C4—24no—
492C22×C4—22no—
493C22×C4—21no—
494C22×C4—21no—
495C22×C4—21no—
496C22×C4—21no—
497C22×C4—24no—
498C22×C4—24no—
499C22×C4—22no—
500C22×C4—22no—
501C22×C4—22no—
502C22×C4—22no—
503C22×C4—42no—
504C22×C4—42no—
505C22×C4—42no—
506C22×C4—42no—
507C22×C4—42no—
508C22×C4—44no—
509C22×C4—44no—
510C22×C4—44no—
511C22×C4—42no—
512C22×C4—42no—
513C22×C4—42no—
514C22×C4—44no—
515C22×C4—44no—
516C22×C4—84no—
517C22×C4—84no—
518C22×C4—816no—
519C22×C4#12114yes—
520C22×C4#12114yes—
521C22×C4C22×D412yes—
522C22×C4C22×D412yes—
523C22×C4C22×D412yes—
524C22×C4C22×D411yescharacteristic
525C22×C4C22×D411yescharacteristic
526C22×C4C22×D411yescharacteristic
527C22×C4C22×D411yescharacteristic
528C22×C4C22×D412yes—
529C22×C4C22×D411yescharacteristic
530C22×C4C22×D412yes—
531C22×C4C22×Q812yes—
532C22×C4C2×#4112yes—
533C22×C4C2×#4112yes—
534C22×C42−1+412yes—
535C22×C42−1+412yes—
536C22×C4C2511yescharacteristic
537M16—28no—
538M16—28no—
539M16—44no—
540M16—44no—
541C2×C8—22no—
542C2×C8—22no—
543C2×C8—22no—
544C2×C8—22no—
545C2×C8—22no—
546C2×C8—22no—
547C2×C8—22no—
548C2×C8—22no—
549C2×C8—22no—
550C2×C8—22no—
551C2×C8C22×Q814yes—
552C2×C8C2×#4114yes—
553C4⋊C4—24no—
554C4⋊C4—24no—
555C4⋊C4—24no—
556C4⋊C4—24no—
557C4⋊C4—24no—
558C4⋊C4—24no—
559C4⋊C4—24no—
560C4⋊C4—24no—
561C4⋊C4—21no—
562C4⋊C4—21no—
563C4⋊C4—21no—
564C4⋊C4—21no—
565C4⋊C4—22no—
566C4⋊C4—22no—
567C4⋊C4—22no—
568C4⋊C4—22no—
569C4⋊C4—22no—
570C4⋊C4—22no—
571C4⋊C4—22no—
572C4⋊C4—22no—
573C4⋊C4—22no—
574C4⋊C4—42no—
575C4⋊C4—42no—
576C4⋊C4—44no—
577C4⋊C4—42no—
578C4⋊C4—42no—
579C4⋊C4—42no—
580C4⋊C4—44no—
581C4⋊C4—44no—
582C4⋊C4—44no—
583C4⋊C4—44no—
584C4⋊C4—44no—
585C4⋊C4—82no—
586C4⋊C4—82no—
587C4⋊C4—84no—
588C4⋊C4—84no—
589C4⋊C4C22×D412yes—
590C4⋊C4C22×D412yes—
591C4⋊C4C22×D412yes—
592C4⋊C4C22×D412yes—
593C4⋊C4C22×Q814yes—
594C22⋊C4—24no—
595C22⋊C4—24no—
596C22⋊C4—24no—
597C22⋊C4—48no—
598C22⋊C4—42no—
599C22⋊C4—44no—
600C22⋊C4—44no—
601C22⋊C4—48no—
602C22⋊C4—84no—
603C22⋊C4—84no—
604C42—24no—
605C42—24no—
606C42—22no—
607C42—22no—
608C42—22no—
609C42—22no—
610C42—24no—
611C42—22no—
612C42—22no—
613C42—22no—
614C42—22no—
615C42—44no—
616C42—44no—
617C42—42no—
618C42—44no—
619C42—82no—
620C42—82no—
621C42—82no—
622C42#12114yes—
623C42#12114yes—
624C42C22×D412yes—
625C42C22×D412yes—
626C42C2×#4112yes—
627C42C2×#4112yes—
628C23—22no—
629C23—22no—
630C23—24no—
631C23—416no—
632C23—44no—
633C23—42no—
634C23—48no—
635C23—42no—
636C23—44no—
637C23—84no—
638C23—88no—
639C23—84no—
640C23C2×#12112yes—
641C23#54712yes—
642C23D4×Q812yes—
643C23C23×D411yescharacteristic
644Q8—48no—
645Q8—84no—
646D4—24no—
647D4—24no—
648D4—48no—
649D4—42no—
650D4—42no—
651C2×C4—22no—
652C2×C4—22no—
653C2×C4—22no—
654C2×C4—22no—
655C2×C4—22no—
656C2×C4—22no—
657C2×C4—22no—
658C2×C4—22no—
659C2×C4—22no—
660C2×C4—22no—
661C2×C4—22no—
662C2×C4—22no—
663C2×C4—22no—
664C2×C4—22no—
665C2×C4—22no—
666C2×C4—22no—
667C2×C4—24no—
668C2×C4—22no—
669C2×C4—22no—
670C2×C4—22no—
671C2×C4—44no—
672C2×C4—44no—
673C2×C4—48no—
674C2×C4—42no—
675C2×C4—42no—
676C2×C4—42no—
677C2×C4—42no—
678C2×C4—42no—
679C2×C4—42no—
680C2×C4—42no—
681C2×C4—44no—
682C2×C4—44no—
683C2×C4—42no—
684C2×C4—42no—
685C2×C4—42no—
686C2×C4—42no—
687C2×C4—42no—
688C2×C4—44no—
689C2×C4—88no—
690C2×C4—88no—
691C2×C4—84no—
692C2×C4—84no—
693C2×C4—84no—
694C2×C4—84no—
695C2×C4C2×#12112yes—
696C2×C4C2×#12112yes—
697C2×C4C2×#12112yes—
698C2×C4C2×#12112yes—
699C2×C4C2×#12112yes—
700C2×C4#53314yes—
701C2×C4#54114yes—
702C2×C4#54712yes—
703C2×C4#54814yes—
704C2×C4D4×Q812yes—
705C2×C4D4×Q814yes—
706C2×C4#57514yes—
707C2×C4C23×D411yescharacteristic
708C2×C4C23×Q811yescharacteristic
709C2×C4C22×#4111yescharacteristic
710C2×C4C22×#4111yescharacteristic
711C2×C4C2×2−1+411yescharacteristic
712C2×C4C2×2−1+411yescharacteristic
713C8—24no—
714C8—24no—
715C8—42no—
716C8—42no—
717C22—22no—
718C22—24no—
719C22—24no—
720C22—22no—
721C22—44no—
722C22—48no—
723C22—816no—
724C22—82no—
725C22—84no—
726C22—82no—
727C22#242914yes—
728C22C22×#12111yescharacteristic
729C22C2×#54711yescharacteristic
730C22C2×D4×Q811yescharacteristic
731C22C2×#57512yes—
732C22#358512yes—
733C4—22no—
734C4—22no—
735C4—24no—
736C4—22no—
737C4—22no—
738C4—42no—
739C4—42no—
740C4—42no—
741C4—42no—
742C4—42no—
743C4—44no—
744C4—42no—
745C4—42no—
746C4—82no—
747C4—82no—
748C4—82no—
749C4—82no—
750C4#242914yes—
751C4C2×#53311yescharacteristic
752C4C2×#54111yescharacteristic
753C4C2×#54811yescharacteristic
754C4C2×D4×Q811yescharacteristic
755C2—24no—
756C2—84no—
757C2C2×#242911yescharacteristic
758C2#6041511yescharacteristic
759C2#6042611yescharacteristic
760C2#6125512yes—
761C2#6136712yes—
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
prime radicalC23×D4C23
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×#3166C2semidirect
4. #34145C2semidirect
5. #25462C2semidirect
6. #25461C2semidirect
7. #25458C2semidirect
8. #25457C2semidirect
9. #23659C2semidirect
10. #23658C2semidirect
13. #21314C2semidirect
14. #21172C2semidirect
15. #21171C2semidirect
16. #21146C2semidirect
24. C2×#501C22semidirect
25. C2×#501C22semidirect
26. C2×#499C22semidirect
27. C2×#499C22semidirect
54. #2370C22semidirect
55. #2370C22semidirect
56. #2369C22semidirect
58. #2365C22semidirect
75. #2085C22semidirect
76. #2085C22semidirect
77. #2084C22semidirect
78. #2083C22semidirect
83. #1989C22semidirect
84. #1989C22semidirect
85. #1949C22semidirect
86. #1949C22semidirect
87. #1948C22semidirect
88. #1947C22semidirect
89. #1940C22semidirect
90. #1939C22semidirect
187. #418Q8semidirect

Maximal subgroups

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

subgroupindex
C2×#31662
C2×#30772
C2×#25662
#341452
#254622
#254612
#254582
#254572
#236592
#236582
#236182
#213142
#211722
#211712
#211462
#210602
C4×#4182