Finite Group Databasebeta

← #6445578

Subgroups — #6445578

Order 512.

2298 conjugacy classes of subgroups.

The subgroup lattice has 761 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#478C211yesmaximal, characteristic, complemented
2C2×C4×AGL(1,ℤ/8)C211yesmaximal, characteristic
3#35333C211yesmaximal, characteristic, complemented
4#34181C211yesmaximal, characteristic, complemented
5#24825C214yesmaximal, complemented
6#24823C214yesmaximal, complemented
7#24822C214yesmaximal, complemented
8#24820C214yesmaximal, complemented
9#23661C211yesmaximal, characteristic, complemented
10#23660C211yesmaximal, characteristic, complemented
11#23611C211yesmaximal, characteristic, complemented
12#23610C211yesmaximal, characteristic, complemented
13#21325C211yesmaximal, characteristic, complemented
14#21145C211yesmaximal, characteristic, complemented
15#20929C211yesmaximal, characteristic
16#20929C211yesmaximal, characteristic
17#20650C211yesmaximal, characteristic, complemented
18#20650C211yesmaximal, characteristic, complemented
19#20645C211yesmaximal, characteristic, complemented
20C22×AGL(1,ℤ/8)C2211yescharacteristic
21C22×#125C2211yescharacteristic
22C2×#518C2211yescharacteristic
23C2×#518C2211yescharacteristic
24C2×C4×#41C2211yescharacteristic
25C22×C4×D4C2211yescharacteristic
26C2×#478—28no—
27C2×#478C2214yes—
28C2×#478C2214yes—
29C4×AGL(1,ℤ/8)—28no—
30C2×#442C2212yes—
31C2×#440C2212yes—
32C2×C4×SD16C2212yes—
33C2×C4×D8C2212yes—
34C2×#428C2211yescharacteristic
35C22×#107C2211yescharacteristic
36C22×#106C2211yescharacteristic
37C2×#424C2211yescharacteristic
38C2×#424C2211yescharacteristic
39C22×C4⋊C8C2211yescharacteristic
40C2×#417C2211yescharacteristic
41C2×#418C2211yescharacteristic
42C2×#416C2211yescharacteristic
43C2×#416C2211yescharacteristic
44C22×#102C2211yescharacteristic
45C22×#102C2211yescharacteristic
46C2×C4×M16C2211yescharacteristic
47#2851—22no—
48#2629—22no—
49#2579—22no—
50#2579—22no—
51#2566C2212yescomplemented
52#2566C2212yescomplemented
53#2565C2212yescomplemented
54#2565C2212yescomplemented
55#2349—22no—
56#2349C2214yes—
57D4×C4⋊C4—22no—
58D4×C4⋊C4C2214yes—
59#2317C2211yescharacteristic
60#2317C2211yescharacteristic
61#2316C2211yescharacteristic
62#2316C2211yescharacteristic
63#2315—22no—
64#2311C2211yescharacteristic
65#2311C2211yescharacteristic
66#2285C2211yescharacteristic
67#2285C2211yescharacteristic
68C2×#380—22no—
69#2085C2214yescomplemented
70#2085C2214yescomplemented
71#2084C2214yescomplemented
72#2083C2214yescomplemented
73#2068C2214yescomplemented
74#2067C2214yescomplemented
75#2066C2214yescomplemented
76#2065C2214yescomplemented
77#1992C2214yescomplemented
78#1991C2214yescomplemented
79#1940C2214yescomplemented
80#1939C2214yescomplemented
81#1879C2214yes—
82#1879C2214yes—
83#1877C2214yes—
84#1877C2214yes—
85#1805C2212yescomplemented
86#1804C2214yes—
87#1804C2214yes—
88#1804C2212yescomplemented
89#1803C2212yescomplemented
90#1802C2214yes—
91#1802C2214yes—
92#1802C2212yescomplemented
93#1736C2211yescharacteristic
94#1736C2211yescharacteristic
95#1736C2211yescharacteristic
96#1736C2211yescharacteristic
97#1735C2211yescharacteristic
98#1735C2211yescharacteristic
99#1729C2211yescharacteristic
100#1729C2211yescharacteristic
101C22×#41C2311yescharacteristic
102C23×D4C2311yescharacteristic
103C24×C4—21no—
104C2×AGL(1,ℤ/8)—24no—
105C2×AGL(1,ℤ/8)—24no—
106C2×AGL(1,ℤ/8)Q818yes—
107C22×SD16C2312yes—
108C22×D8C2312yes—
109C22×M16C2311yescharacteristic
110C22×M16C2311yescharacteristic
111C23×C8C2311yescharacteristic
112C23×C8C2311yescharacteristic
113C2×#125—21no—
114C2×#125—21no—
115C2×#125—24no—
116C2×#125—24no—
117C2×#125C2312yes—
118C2×#125C2312yes—
119#518—24no—
120#518—24no—
121#518—42no—
122#518—42no—
123C4×#41—24no—
124C4×#41—24no—
125C2×C4×Q8C2311yescharacteristic
126C2×C4×Q8C2311yescharacteristic
127C2×C4×D4—21no—
128C2×C4×D4—21no—
129C2×C4×D4—22no—
130C2×C4×D4—22no—
131C2×C4×D4—21no—
132C2×C4×D4—21no—
133C2×C4×D4—24no—
134C2×C4×D4D418yes—
135C2×C4×D4C2311yescharacteristic
136C2×C4×D4C2311yescharacteristic
137C2×C4×D4C2314yes—
138C2×C4×D4C2314yes—
139C2×C4×D4C2312yes—
140C2×C4×D4C2312yes—
141C2×#117—21no—
142C2×#117C2311yescharacteristic
143C2×#117C2311yescharacteristic
144C2×#117C2311yescharacteristic
145C2×#117C2311yescharacteristic
146C2×#117C2311yescharacteristic
147C22×C4⋊C4—21no—
148C22×C4⋊C4—21no—
149C22×C4⋊C4—24no—
150C22×C4⋊C4C2311yescharacteristic
151C22×C4⋊C4C2311yescharacteristic
152C22×C4⋊C4C2311yescharacteristic
153C22×C22⋊C4—21no—
154C22×C22⋊C4—22no—
155C22×C22⋊C4—22no—
156C22×C42—21no—
157C22×C42C2311yescharacteristic
158#478—216no—
159#478—216no—
160#442—28no—
161#440—28no—
162C4×SD16—28no—
163C4×D8—28no—
164#428—24no—
165C2×#107—24no—
166C2×#107C2314yes—
167C2×#107C2312yes—
168C2×#106—24no—
169C2×#106C2314yes—
170C2×#106C2312yes—
171#424—42no—
172#424—42no—
173C2×C4⋊C8—24no—
174C2×C4⋊C8C2312yes—
175C2×C4⋊C8C2312yes—
176C2×C4⋊C8C2314yes—
177C2×C4⋊C8C2314yes—
178#418—24no—
179#417—24no—
180#416—42no—
181#416—42no—
182C2×#103C2312yes—
183C2×#103C2312yes—
184C2×#103C2312yes—
185C2×#102—24no—
186C2×#102—24no—
187C2×#102C2314yes—
188C2×#102C2314yes—
189C2×#102C2312yes—
190C2×#102C2312yes—
191C2×#102C2312yes—
192C2×#102C2312yes—
193C2×#102C2312yes—
194C4×M16—24no—
195C2×#97C2312yes—
196C2×C4×C8C2312yes—
197#398—24no—
198#398—24no—
199#396—24no—
200#396—24no—
201#391C2312yes—
202#391C2312yes—
203#390C2312yes—
204#390C2312yes—
205#389—22no—
206#389—22no—
207#389—22no—
208#389—22no—
209#389C2314yes—
210#389C2314yes—
211#387—24no—
212#387—24no—
213#386—22no—
214#386—22no—
215#385—24no—
216#385—24no—
217#385—22no—
218#385—22no—
219#385—24no—
220#385—24no—
221#385—24no—
222#385—24no—
223#384D412yes—
224#384C2312yes—
225#384C2312yes—
226#384C2312yes—
227#382D412yes—
228#382C2312yes—
229#382C2312yes—
230#382C2312yes—
231#380—21no—
232#380—21no—
233#380—22no—
234#380—22no—
235#380—24no—
236#380—22no—
237#380—22no—
238#380—24no—
239#380D412yes—
240#380D412yes—
241C4×C4⋊C4—21no—
242C4×C4⋊C4—21no—
243C4×C4⋊C4C2312yes—
244C4×C4⋊C4C2312yes—
245C2×#95—24no—
246#340C2312yes—
247#340C2312yes—
248#340C2314yes—
249#340C2314yes—
250#340C2312yes—
251#340C2312yes—
252#340C2314yes—
253#340C2314yes—
254#336C2314yes—
255#336C2314yes—
256C25—21no—
257C2×#41—22no—
258C2×#41—22no—
259C2×#41—22no—
260C2×#41—22no—
261C2×#41—22no—
262C2×#41C2×Q814yes—
263C22×Q8C2411yescharacteristic
264C22×D4—21no—
265C22×D4—21no—
266C22×D4—22no—
267C22×D4—22no—
268C22×D4—22no—
269C22×D4C2×D414yes—
270C22×D4C2×Q814yes—
271C22×D4#4114yes—
272C22×D4C2411yescharacteristic
273C22×D4C2412yes—
274C23×C4—21no—
275C23×C4—22no—
276C23×C4—21no—
277C23×C4—28no—
278C23×C4—22no—
279C23×C4—21no—
280C23×C4—21no—
281C23×C4—24no—
282C23×C4—24no—
283C23×C4—21no—
284C23×C4—21no—
285C23×C4—84no—
286C23×C4C2×D411yescharacteristic
287C23×C4C2×D411yescharacteristic
288C23×C4C2411yescharacteristic
289AGL(1,ℤ/8)—232no—
290C2×SD16—24no—
291C2×SD16—24no—
292C2×SD16C2×Q818yes—
293C2×D8—24no—
294C2×D8—24no—
295C2×D8C2×Q818yes—
296C2×M16—22no—
297C2×M16—22no—
298C2×M16—22no—
299C2×M16—22no—
300C2×M16—22no—
301C2×M16C2×Q814yes—
302C22×C8—22no—
303C22×C8—22no—
304C22×C8—22no—
305C22×C8—22no—
306C22×C8—22no—
307C22×C8—22no—
308C22×C8C2412yes—
309C22×C8C2412yes—
310C22×C8C2412yes—
311C22×C8C2412yes—
312#125—24no—
313#125—24no—
314#125—24no—
315#125—24no—
316#125—44no—
317#125—44no—
318C4×Q8—22no—
319C4×Q8—22no—
320C4×Q8—22no—
321C4×Q8—22no—
322C4×D4—28no—
323C4×D4—28no—
324C4×D4—28no—
325C4×D4—28no—
326C4×D4—22no—
327C4×D4—22no—
328C4×D4—24no—
329C4×D4—24no—
330C4×D4—22no—
331C4×D4—22no—
332C4×D4—44no—
333C4×D4—44no—
334C4×D4—48no—
335C4×D4—48no—
336C4×D4—44no—
337C4×D4—44no—
338C4×D4C2×D418yes—
339C4×D4C2×D418yes—
340#117—22no—
341#117—22no—
342#117—22no—
343#117—22no—
344#117—22no—
345#117—22no—
346#117—22no—
347#117—22no—
348#117—22no—
349#117—22no—
350#117—44no—
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—21no—
366C2×C4⋊C4—24no—
367C2×C4⋊C4—24no—
368C2×C4⋊C4—22no—
369C2×C4⋊C4—24no—
370C2×C4⋊C4—24no—
371C2×C4⋊C4—44no—
372C2×C4⋊C4—44no—
373C2×C4⋊C4—88no—
374C2×C4⋊C4C2×D412yes—
375C2×C4⋊C4C2×D412yes—
376C2×C4⋊C4C2×D414yes—
377C2×C4⋊C4C2×D414yes—
378C2×C4⋊C4C2×D414yes—
379C2×C4⋊C4C2412yes—
380C2×C4⋊C4C2412yes—
381C2×C4⋊C4C2412yes—
382C2×C4⋊C4C2412yes—
383C2×C4⋊C4C2411yescharacteristic
384C2×C4⋊C4C2411yescharacteristic
385C2×C4⋊C4C2412yes—
386C2×C22⋊C4—28no—
387C2×C22⋊C4—22no—
388C2×C22⋊C4—22no—
389C2×C22⋊C4—21no—
390C2×C22⋊C4—21no—
391C2×C22⋊C4—21no—
392C2×C22⋊C4—24no—
393C2×C22⋊C4—24no—
394C2×C22⋊C4—21no—
395C2×C22⋊C4—21no—
396C2×C22⋊C4—24no—
397C2×C22⋊C4—24no—
398C2×C22⋊C4—48no—
399C2×C22⋊C4—48no—
400C2×C22⋊C4C2×D412yes—
401C2×C22⋊C4C2×D412yes—
402C2×C42—21no—
403C2×C42—21no—
404C2×C42—21no—
405C2×C42—21no—
406C2×C42—21no—
407C2×C42—44no—
408C2×C42C2×D411yescharacteristic
409C2×C42C2×D411yescharacteristic
410C2×C42C2×D414yes—
411C2×C42#4114yes—
412C2×C42C2412yes—
413C2×C42C2412yes—
414C2×C42C2411yescharacteristic
415C2×C42C2411yescharacteristic
416#107—28no—
417#107—24no—
418#106—28no—
419#106—24no—
420C4⋊C8—24no—
421C4⋊C8—24no—
422C4⋊C8—44no—
423C4⋊C8—44no—
424#103—24no—
425#103—42no—
426#103—42no—
427#102—28no—
428#102—28no—
429#102—24no—
430#102—24no—
431#102—24no—
432#102—42no—
433#102—42no—
434#97—24no—
435C4×C8—24no—
436#95—22no—
437#95—24no—
438#95—24no—
439#95—22no—
440#95—24no—
441#95—24no—
442#95—24no—
443#95—24no—
444#95C2×D414yes—
445#95C2×D414yes—
446C24—22no—
447C24—24no—
448C24—24no—
449C24—24no—
450C24—21no—
451C24—82no—
452C24—82no—
453C24C22×D411yescharacteristic
454#41—28no—
455#41—28no—
456#41—44no—
457#41—44no—
458C2×Q8—21no—
459C2×Q8—21no—
460C2×Q8—21no—
461C2×Q8—21no—
462C2×Q8—21no—
463C2×Q8C22×Q812yes—
464C2×D4—24no—
465C2×D4—24no—
466C2×D4—28no—
467C2×D4—24no—
468C2×D4—24no—
469C2×D4—28no—
470C2×D4—28no—
471C2×D4—21no—
472C2×D4—22no—
473C2×D4—21no—
474C2×D4—21no—
475C2×D4—22no—
476C2×D4—21no—
477C2×D4—22no—
478C2×D4—21no—
479C2×D4—42no—
480C2×D4—42no—
481C2×D4C22⋊Q8116yes—
482C2×D4C22×D414yes—
483C2×D4C22×Q812yes—
484C2×D4C22×Q814yes—
485C2×D4C2×#4114yes—
486C22×C4—21no—
487C22×C4—22no—
488C22×C4—24no—
489C22×C4—28no—
490C22×C4—24no—
491C22×C4—28no—
492C22×C4—21no—
493C22×C4—21no—
494C22×C4—22no—
495C22×C4—22no—
496C22×C4—22no—
497C22×C4—22no—
498C22×C4—42no—
499C22×C4—42no—
500C22×C4—48no—
501C22×C4—48no—
502C22×C4—48no—
503C22×C4—42no—
504C22×C4—42no—
505C22×C4—42no—
506C22×C4—42no—
507C22×C4—42no—
508C22×C4—42no—
509C22×C4—82no—
510C22×C4—82no—
511C22×C4—84no—
512C22×C4—84no—
513C22×C4—84no—
514C22×C4—84no—
515C22×C4—84no—
516C22×C4—816no—
517C22×C4—82no—
518C22×C4—82no—
519C22×C4—82no—
520C22×C4#12114yes—
521C22×C4#12114yes—
522C22×C4C22×D414yes—
523C22×C4C22×D414yes—
524C22×C4C22×D411yescharacteristic
525C22×C4C22×D411yescharacteristic
526C22×C4C22×D411yescharacteristic
527C22×C4C22×D411yescharacteristic
528C22×C4C22×D411yescharacteristic
529C22×C4C22×D412yes—
530C22×C4C22×Q812yes—
531C22×C4C2×#4112yes—
532C22×C4C2×#4112yes—
533C22×C4H(5,𝔽2)12yes—
534C22×C42−1+412yes—
535C22×C4C2511yescharacteristic
536SD16—216no—
537D8—216no—
538M16—28no—
539M16—44no—
540C2×C8—22no—
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×C8—44no—
552C2×C8—44no—
553C2×C8C22×Q814yes—
554C4⋊C4—24no—
555C4⋊C4—24no—
556C4⋊C4—24no—
557C4⋊C4—22no—
558C4⋊C4—22no—
559C4⋊C4—21no—
560C4⋊C4—22no—
561C4⋊C4—21no—
562C4⋊C4—22no—
563C4⋊C4—22no—
564C4⋊C4—22no—
565C4⋊C4—22no—
566C4⋊C4—21no—
567C4⋊C4—21no—
568C4⋊C4—22no—
569C4⋊C4—22no—
570C4⋊C4—44no—
571C4⋊C4—44no—
572C4⋊C4—44no—
573C4⋊C4—42no—
574C4⋊C4—42no—
575C4⋊C4—44no—
576C4⋊C4—44no—
577C4⋊C4—44no—
578C4⋊C4—44no—
579C4⋊C4—42no—
580C4⋊C4—42no—
581C4⋊C4—82no—
582C4⋊C4—84no—
583C4⋊C4—84no—
584C4⋊C4—84no—
585C4⋊C4—84no—
586C4⋊C4C22×D414yes—
587C22⋊C4—24no—
588C22⋊C4—24no—
589C22⋊C4—28no—
590C22⋊C4—28no—
591C22⋊C4—48no—
592C22⋊C4—48no—
593C22⋊C4—42no—
594C22⋊C4—42no—
595C22⋊C4—42no—
596C22⋊C4—42no—
597C22⋊C4—42no—
598C22⋊C4—84no—
599C22⋊C4—84no—
600C42—22no—
601C42—22no—
602C42—22no—
603C42—22no—
604C42—42no—
605C42—42no—
606C42—42no—
607C42—42no—
608C42—42no—
609C42#12114yes—
610C42#12114yes—
611C42C22×D412yes—
612C42C22×D412yes—
613C42C2×#4112yes—
614C42C2×#4112yes—
615C23—22no—
616C23—22no—
617C23—24no—
618C23—24no—
619C23—24no—
620C23—216no—
621C23—22no—
622C23—44no—
623C23—44no—
624C23—42no—
625C23—42no—
626C23—41no—
627C23—41no—
628C23—84no—
629C23—84no—
630C23—88no—
631C23—88no—
632C23C2×#12112yes—
633C23#54612yes—
634C23D4×Q812yes—
635C23C23×D411yescharacteristic
636Q8—22no—
637Q8—22no—
638Q8—41no—
639Q8—41no—
640D4—22no—
641D4—216no—
642D4—24no—
643D4—24no—
644D4—24no—
645D4—22no—
646D4—48no—
647D4—41no—
648D4—41no—
649D4C2×C22⋊Q818yes—
650C2×C4—22no—
651C2×C4—22no—
652C2×C4—22no—
653C2×C4—22no—
654C2×C4—24no—
655C2×C4—24no—
656C2×C4—24no—
657C2×C4—24no—
658C2×C4—24no—
659C2×C4—24no—
660C2×C4—24no—
661C2×C4—22no—
662C2×C4—44no—
663C2×C4—44no—
664C2×C4—416no—
665C2×C4—44no—
666C2×C4—41no—
667C2×C4—41no—
668C2×C4—48no—
669C2×C4—44no—
670C2×C4—42no—
671C2×C4—42no—
672C2×C4—42no—
673C2×C4—44no—
674C2×C4—42no—
675C2×C4—42no—
676C2×C4—42no—
677C2×C4—41no—
678C2×C4—41no—
679C2×C4—42no—
680C2×C4—42no—
681C2×C4—42no—
682C2×C4—42no—
683C2×C4—88no—
684C2×C4—84no—
685C2×C4—84no—
686C2×C4—84no—
687C2×C4—84no—
688C2×C4—84no—
689C2×C4—168no—
690C2×C4—168no—
691C2×C4C2×#12112yes—
692C2×C4C2×#12112yes—
693C2×C4C2×#12112yes—
694C2×C4C2×#12112yes—
695C2×C4C2×#12112yes—
696C2×C4C2×C22⋊Q814yes—
697C2×C4#53714yes—
698C2×C4#54612yes—
699C2×C4D4×Q812yes—
700C2×C4#55214yes—
701C2×C4#55414yes—
702C2×C4C23×D411yescharacteristic
703C2×C4C23×Q811yescharacteristic
704C2×C4C22×#4111yescharacteristic
705C2×C4C22×#4111yescharacteristic
706C2×C4C2×H(5,𝔽2)11yescharacteristic
707C2×C4C2×2−1+411yescharacteristic
708C8—24no—
709C8—42no—
710C8—42no—
711C8—42no—
712C22—22no—
713C22—22no—
714C22—24no—
715C22—24no—
716C22—28no—
717C22—44no—
718C22—44no—
719C22—48no—
720C22—48no—
721C22—42no—
722C22—44no—
723C22—816no—
724C22—81no—
725C22—81no—
726C22—82no—
727C22#241714yes—
728C22C22×#12111yescharacteristic
729C22C2×#54611yescharacteristic
730C22C2×D4×Q811yescharacteristic
731C22#358412yes—
732C22#358512yes—
733C4—22no—
734C4—22no—
735C4—22no—
736C4—22no—
737C4—44no—
738C4—44no—
739C4—44no—
740C4—42no—
741C4—82no—
742C4—81no—
743C4—82no—
744C4—81no—
745C4—82no—
746C4—82no—
747C4#241714yes—
748C4C22×C22⋊Q811yescharacteristic
749C4C2×#53711yescharacteristic
750C4C2×#55211yescharacteristic
751C4C2×#55411yescharacteristic
752C2—24no—
753C2—48no—
754C2—82no—
755C2C2×#241711yescharacteristic
756C2#6042211yescharacteristic
757C2#6042311yescharacteristic
758C2#6120112yes—
759C2#6138512yes—
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
prime radicalC22×AGL(1,ℤ/8)C22
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ #2285 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C22×#478C2semidirect
3. #35333C2semidirect
4. #34181C2semidirect
5. #24825C2semidirect
6. #24823C2semidirect
7. #24822C2semidirect
8. #24820C2semidirect
9. #23661C2semidirect
10. #23660C2semidirect
11. #23611C2semidirect
12. #23610C2semidirect
13. #21325C2semidirect
14. #21145C2semidirect
17. #20650C2semidirect
18. #20650C2semidirect
19. #20645C2semidirect
51. #2566C22semidirect
52. #2566C22semidirect
53. #2565C22semidirect
54. #2565C22semidirect
69. #2085C22semidirect
70. #2085C22semidirect
71. #2084C22semidirect
72. #2083C22semidirect
73. #2068C22semidirect
74. #2067C22semidirect
75. #2066C22semidirect
76. #2065C22semidirect
77. #1992C22semidirect
78. #1991C22semidirect
79. #1940C22semidirect
80. #1939C22semidirect
85. #1805C22semidirect
88. #1804C22semidirect
89. #1803C22semidirect
92. #1802C22semidirect

Maximal subgroups

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

subgroupindex
C22×#4782
C2×C4×AGL(1,ℤ/8)2
#353332
#341812
#248252
#248232
#248222
#248202
#236612
#236602
#236112
#236102
#213252
#211452
#209292
#206502
#206452