Finite Group Databasebeta

← #6495722

Subgroups — #6495722

Order 512.

2040 conjugacy classes of subgroups.

The subgroup lattice has 806 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#36631C211yesmaximal, characteristic, complemented
2C2×#2293C211yesmaximal, characteristic, complemented
3#33146C211yesmaximal, characteristic, complemented
4#33106C211yesmaximal, characteristic, complemented
5#32953C211yesmaximal, characteristic, complemented
6#32902C211yesmaximal, characteristic
7#29994C212yesmaximal, complemented
8#29824C212yesmaximal, complemented
9#29532C214yesmaximal, complemented
10#29428C214yesmaximal, complemented
11#29234C212yesmaximal, complemented
12#28114C212yesmaximal, complemented
13#24600C212yesmaximal, complemented
14#24500C212yesmaximal, complemented
15#22145C212yesmaximal, complemented
16#22110C212yesmaximal, complemented
17#20808C211yesmaximal, characteristic, complemented
18C2×#529—21no—
19C22×C4×D4C2211yescharacteristic
20C22×#117—21no—
21C2×#480C2212yes—
22C2×#474C2212yes—
23C2×#459C2212yes—
24C2×#447C2212yes—
25C2×#431C2212yes—
26#2861—21no—
27#2860—21no—
28#2860C2212yescomplemented
29#2859C2211yescharacteristic, complemented
30#2858C2211yescharacteristic, complemented
31#2857C2211yescharacteristic
32#2856C2211yescharacteristic
33#2854—21no—
34#2854C2212yes—
35#2850—21no—
36C4×C4⋊Q8C2211yescharacteristic, complemented
37C4×#127C2211yescharacteristic, complemented
38C4×#124—21no—
39C4×#121—21no—
40C4×#121C2212yes—
41#2293—21no—
42#2293—21no—
43#2293—21no—
44#2293—21no—
45#2293—21no—
46#2293C2212yes—
47#2293C2212yes—
48#2293C2212yes—
49#2293C2212yes—
50#2293C2212yescomplemented
51C2×#390C2211yescharacteristic
52C2×#390C2211yescharacteristic
53C2×#389C2211yescharacteristic
54C2×#389C2211yescharacteristic
55C2×#388—21no—
56C2×#388—21no—
57C2×C4×C4⋊C4C2211yescharacteristic
58C2×C4×C22⋊C4—21no—
59C2×C43C2211yescharacteristic
60#2086C2214yescomplemented
61#2086C2214yescomplemented
62#2067C2214yes—
63#2067C2214yes—
64#2067C2214yescomplemented
65#2067C2214yescomplemented
66#2054C2214yes—
67#2054C2214yes—
68#1988C2212yescomplemented
69#1982C2212yescomplemented
70#1970C2214yes—
71#1947C2212yescomplemented
72#1947C2212yescomplemented
73#1942C2214yescomplemented
74#1934C2214yes—
75#1934C2214yescomplemented
76#1925C2214yes—
77#1925C2214yescomplemented
78#1918C2214yescomplemented
79#1918C2214yescomplemented
80#1879C2214yes—
81#1879C2214yes—
82#1874C2212yes—
83#1874C2212yes—
84#1862C2214yes—
85#1862C2214yescomplemented
86#1852C2212yes—
87#1852C2212yes—
88#1842C2212yescomplemented
89#1831C2212yescomplemented
90#1823C2212yes—
91#1802C2212yes—
92#1802C2212yes—
93#1797C2212yes—
94#1797C2211yescharacteristic
95#1797C2211yescharacteristic
96#1786C2212yes—
97C4×C4⋊C8C2212yescomplemented
98C4×C4⋊C8C2212yescomplemented
99C23×D4C2311yescharacteristic
100C24×C4—21no—
101C22×D8C2314yes—
102C2×C4⋊Q8C2311yescharacteristic
103C2×#127C2311yescharacteristic
104#529—48no—
105C2×#126—22no—
106C2×#125—21no—
107C2×#124—21no—
108C2×#124—21no—
109C2×#123—22no—
110C2×C22⋊Q8—21no—
111C2×#121—21no—
112C2×#121—21no—
113C2×#121C2312yes—
114C2×C4×Q8—21no—
115C2×C4×D4—28no—
116C2×C4×D4—22no—
117C2×C4×D4—21no—
118C2×C4×D4—21no—
119C2×C4×D4—21no—
120C2×C4×D4—21no—
121C2×C4×D4C2312yes—
122C2×C4×D4C2312yes—
123C2×C4×D4C2312yes—
124C2×#117—22no—
125C2×#117—22no—
126C2×#117—22no—
127C2×#117—22no—
128C2×#117—22no—
129C2×#117—48no—
130C22×C4⋊C4—21no—
131C22×C4⋊C4—21no—
132C22×C4⋊C4C2311yescharacteristic
133C22×C4⋊C4C2311yescharacteristic
134C22×C4⋊C4C2311yescharacteristic
135C22×C22⋊C4—21no—
136C22×C22⋊C4—21no—
137C22×C22⋊C4—21no—
138C22×C22⋊C4—21no—
139C22×C22⋊C4—21no—
140C22×C42—21no—
141C22×C42D411yescharacteristic
142C22×C42D411yescharacteristic
143C22×C42D411yescharacteristic
144C22×C42D411yescharacteristic
145C22×C42C2311yescharacteristic
146C22×C42C2311yescharacteristic
147C22×C42C2311yescharacteristic
148#480—44no—
149#474—28no—
150#459—28no—
151#447—44no—
152#431—44no—
153C2×#107C2314yes—
154C2×#107C2314yes—
155C2×#107C2314yes—
156C2×C4⋊C8C2312yes—
157C2×C4⋊C8C2312yes—
158C2×C4⋊C8C2314yes—
159C2×C4⋊C8C2314yes—
160C2×#102C2314yes—
161C2×#102C2314yes—
162C2×#102C2314yes—
163C2×#102C2314yes—
164C2×#102C2314yes—
165C2×#102C2314yes—
166C2×C22⋊C8C2312yes—
167C2×C22⋊C8C2312yes—
168C2×C4×C8C2314yes—
169#391—21no—
170#391—21no—
171#390—21no—
172#390—21no—
173#390—21no—
174#390—21no—
175#390—21no—
176#390—21no—
177#390—21no—
178#390—21no—
179#390—21no—
180#390—21no—
181#390C2312yes—
182#390C2312yes—
183#390C2312yes—
184#390C2312yes—
185#390C2312yes—
186#390C2312yes—
187#390C2312yes—
188#390C2312yes—
189#389—21no—
190#389—21no—
191#389—21no—
192#389—21no—
193#389—21no—
194#389—21no—
195#389—21no—
196#389—21no—
197#389C2312yes—
198#389C2312yes—
199#389C2312yes—
200#389C2312yes—
201#389C2312yes—
202#389C2312yes—
203#389C2312yes—
204#389C2312yes—
205#388—22no—
206#388—22no—
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#386—22no—
222#386—22no—
223#384C2311yescharacteristic
224#384C2311yescharacteristic
225#382—21no—
226#380—21no—
227#380C2312yes—
228C4×C4⋊C4—21no—
229C4×C4⋊C4—21no—
230C4×C4⋊C4—21no—
231C4×C4⋊C4C2312yes—
232C4×C4⋊C4C2312yes—
233C4×C4⋊C4C2312yes—
234C4×C22⋊C4—22no—
235C4×C22⋊C4—22no—
236C4×C22⋊C4—22no—
237C4×C22⋊C4—22no—
238C4×C22⋊C4—22no—
239C4×C22⋊C4—22no—
240C2×#95—21no—
241C2×#95—21no—
242C2×#95—21no—
243C43D411yescharacteristic
244C43D411yescharacteristic
245C43D411yescharacteristic
246C43D411yescharacteristic
247C43C2311yescharacteristic
248C43C2311yescharacteristic
249C43C2311yescharacteristic
250C43C2311yescharacteristic
251#340C2314yes—
252#340C2314yes—
253#340C2314yes—
254#340C2314yes—
255#340C2314yes—
256#340C2314yes—
257#336C2312yes—
258#336C2314yes—
259#336C2312yes—
260C25—21no—
261C22×Q8—21no—
262C22×D4—24no—
263C22×D4—22no—
264C22×D4—21no—
265C22×D4—21no—
266C22×D4—21no—
267C22×D4—22no—
268C22×D4—22no—
269C22×D4—42no—
270C22×D4C2412yes—
271C22×D4C2412yes—
272C23×C4—28no—
273C23×C4—21no—
274C23×C4—22no—
275C23×C4—22no—
276C23×C4—21no—
277C23×C4—21no—
278C23×C4—22no—
279C23×C4—44no—
280C23×C4—44no—
281C23×C4C2×D411yescharacteristic
282C23×C4C2×D411yescharacteristic
283C23×C4C2×D411yescharacteristic
284C23×C4C2×D411yescharacteristic
285C23×C4C2×D411yescharacteristic
286C23×C4C2×D411yescharacteristic
287C23×C4C2411yescharacteristic
288C2×D8—28no—
289C2×D8—44no—
290C2×D8—44no—
291C22×C8C2414yes—
292C22×C8C2414yes—
293C4⋊Q8—24no—
294#127—24no—
295#126—48no—
296#125—44no—
297#124—44no—
298#124—44no—
299#123—48no—
300C22⋊Q8—44no—
301#121—24no—
302#121—24no—
303#121—44no—
304#121—44no—
305C4×Q8—44no—
306C4×D4—28no—
307C4×D4—28no—
308C4×D4—24no—
309C4×D4—24no—
310C4×D4—24no—
311C4×D4—44no—
312C4×D4—44no—
313C4×D4—48no—
314C4×D4—44no—
315C4×D4#4118yes—
316#117—48no—
317#117—48no—
318#117—48no—
319#117—48no—
320#117—48no—
321C2×C4⋊C4—21no—
322C2×C4⋊C4—24no—
323C2×C4⋊C4—22no—
324C2×C4⋊C4—22no—
325C2×C4⋊C4—22no—
326C2×C4⋊C4—22no—
327C2×C4⋊C4—22no—
328C2×C4⋊C4—22no—
329C2×C4⋊C4—21no—
330C2×C4⋊C4—21no—
331C2×C4⋊C4—22no—
332C2×C4⋊C4—22no—
333C2×C4⋊C4—21no—
334C2×C4⋊C4—22no—
335C2×C4⋊C4—21no—
336C2×C4⋊C4—21no—
337C2×C4⋊C4—22no—
338C2×C4⋊C4—21no—
339C2×C4⋊C4—21no—
340C2×C4⋊C4—42no—
341C2×C4⋊C4—44no—
342C2×C4⋊C4—44no—
343C2×C4⋊C4C2412yes—
344C2×C4⋊C4C2412yes—
345C2×C4⋊C4C2412yes—
346C2×C4⋊C4C2412yes—
347C2×C4⋊C4C2412yes—
348C2×C4⋊C4C2412yes—
349C2×C22⋊C4—28no—
350C2×C22⋊C4—22no—
351C2×C22⋊C4—22no—
352C2×C22⋊C4—22no—
353C2×C22⋊C4—22no—
354C2×C22⋊C4—22no—
355C2×C22⋊C4—22no—
356C2×C22⋊C4—22no—
357C2×C22⋊C4—22no—
358C2×C22⋊C4—22no—
359C2×C22⋊C4—22no—
360C2×C22⋊C4—22no—
361C2×C22⋊C4—22no—
362C2×C22⋊C4—22no—
363C2×C22⋊C4—22no—
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—44no—
372C2×C22⋊C4—44no—
373C2×C22⋊C4—44no—
374C2×C22⋊C4—44no—
375C2×C42—22no—
376C2×C42—22no—
377C2×C42—24no—
378C2×C42—22no—
379C2×C42—22no—
380C2×C42—22no—
381C2×C42—42no—
382C2×C42—42no—
383C2×C42—42no—
384C2×C42—42no—
385C2×C42—44no—
386C2×C42D818yescomplemented
387C2×C42C2×D411yescharacteristic
388C2×C42C2×D411yescharacteristic
389C2×C42C2×D411yescharacteristic
390C2×C42C2×D411yescharacteristic
391C2×C42C2×D411yescharacteristic
392C2×C42C2×D411yescharacteristic
393C2×C42C2×D411yescharacteristic
394C2×C42C2×D411yescharacteristic
395C2×C42C2×D411yescharacteristic
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×C42C2411yescharacteristic
410C2×C42C2411yescharacteristic
411C2×C42C2411yescharacteristic
412C2×C42C2411yescharacteristic
413C2×C42C2411yescharacteristic
414C2×C42C2411yescharacteristic
415#107—28no—
416#107—44no—
417#107—44no—
418C4⋊C8—24no—
419C4⋊C8—24no—
420C4⋊C8—44no—
421C4⋊C8—44no—
422#102—28no—
423#102—28no—
424#102—44no—
425#102—44no—
426#102—44no—
427#102—44no—
428C22⋊C8—24no—
429C22⋊C8—24no—
430C4×C8—44no—
431#95—22no—
432#95—22no—
433#95—22no—
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#95—22no—
443C24—24no—
444C24—22no—
445C24—22no—
446C24—42no—
447C24—42no—
448C24—42no—
449C24—42no—
450C24—42no—
451C24—42no—
452C24C22×D411yescharacteristic
453C2×Q8—42no—
454C2×Q8—42no—
455C2×Q8—42no—
456C2×D4—24no—
457C2×D4—22no—
458C2×D4—24no—
459C2×D4—22no—
460C2×D4—22no—
461C2×D4—22no—
462C2×D4—22no—
463C2×D4—22no—
464C2×D4—22no—
465C2×D4—24no—
466C2×D4—48no—
467C2×D4—48no—
468C2×D4—42no—
469C2×D4—42no—
470C2×D4—42no—
471C2×D4—44no—
472C2×D4—44no—
473C2×D4—44no—
474C2×D4—42no—
475C2×D4—42no—
476C2×D4—42no—
477C2×D4—42no—
478C2×D4—42no—
479C2×D4C2×#4114yes—
480C22×C4—22no—
481C22×C4—22no—
482C22×C4—22no—
483C22×C4—22no—
484C22×C4—22no—
485C22×C4—22no—
486C22×C4—24no—
487C22×C4—28no—
488C22×C4—22no—
489C22×C4—22no—
490C22×C4—22no—
491C22×C4—22no—
492C22×C4—22no—
493C22×C4—28no—
494C22×C4—22no—
495C22×C4—22no—
496C22×C4—22no—
497C22×C4—22no—
498C22×C4—22no—
499C22×C4—22no—
500C22×C4—41no—
501C22×C4—41no—
502C22×C4—41no—
503C22×C4—41no—
504C22×C4—41no—
505C22×C4—41no—
506C22×C4—44no—
507C22×C4—432no—
508C22×C4—44no—
509C22×C4—44no—
510C22×C4—42no—
511C22×C4—42no—
512C22×C4—44no—
513C22×C4—44no—
514C22×C4—44no—
515C22×C4—42no—
516C22×C4—42no—
517C22×C4—42no—
518C22×C4—42no—
519C22×C4—42no—
520C22×C4—42no—
521C22×C4—44no—
522C22×C4C2×D814yes—
523C22×C4C2×D814yes—
524C22×C4C2×D814yes—
525C22×C4C22×D411yescharacteristic
526C22×C4C22×D411yescharacteristic
527C22×C4C22×D411yescharacteristic
528C22×C4C22×D411yescharacteristic
529C22×C4C22×D411yescharacteristic
530C22×C4C22×D411yescharacteristic
531C22×C4C22×D411yescharacteristic
532C22×C4C22×D411yescharacteristic
533C22×C4C22×D411yescharacteristic
534C22×C4C22×D411yescharacteristic
535C22×C4C22×D411yescharacteristic
536C22×C4C22×D411yescharacteristic
537C22×C4C22×D411yescharacteristic
538C22×C4H(5,𝔽2)12yes—
539C22×C42−1+412yes—
540C22×C4C2511yescharacteristic
541D8—88no—
542C2×C8—24no—
543C2×C8—24no—
544C2×C8—24no—
545C2×C8—24no—
546C2×C8—24no—
547C2×C8—24no—
548C4⋊C4—24no—
549C4⋊C4—22no—
550C4⋊C4—24no—
551C4⋊C4—22no—
552C4⋊C4—22no—
553C4⋊C4—22no—
554C4⋊C4—22no—
555C4⋊C4—22no—
556C4⋊C4—24no—
557C4⋊C4—22no—
558C4⋊C4—42no—
559C4⋊C4—42no—
560C4⋊C4—42no—
561C4⋊C4—42no—
562C4⋊C4—42no—
563C4⋊C4—44no—
564C4⋊C4—44no—
565C4⋊C4—44no—
566C4⋊C4—44no—
567C4⋊C4—44no—
568C4⋊C4—44no—
569C4⋊C4—42no—
570C4⋊C4—44no—
571C4⋊C4—42no—
572C4⋊C4—44no—
573C4⋊C4C2×#4114yes—
574C22⋊C4—28no—
575C22⋊C4—28no—
576C22⋊C4—44no—
577C22⋊C4—44no—
578C22⋊C4—44no—
579C22⋊C4—44no—
580C22⋊C4—44no—
581C22⋊C4—44no—
582C22⋊C4—44no—
583C22⋊C4—44no—
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—
595C42—22no—
596C42—22no—
597C42—22no—
598C42—22no—
599C42—22no—
600C42—22no—
601C42—22no—
602C42—22no—
603C42—22no—
604C42—21no—
605C42—21no—
606C42—21no—
607C42—21no—
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—44no—
621C42—44no—
622C42—44no—
623C42C2×D814yes—
624C42C2×D814yes—
625C42C2×D814yes—
626C42C2×D814yes—
627C42C2×#4114yes—
628C23—21no—
629C23—21no—
630C23—21no—
631C23—21no—
632C23—24no—
633C23—48no—
634C23—48no—
635C23—48no—
636C23—42no—
637C23—42no—
638C23—42no—
639C23—42no—
640C23—42no—
641C23—42no—
642C23—42no—
643C23—42no—
644C23—42no—
645C23—42no—
646C23—42no—
647C23—42no—
648C23—42no—
649C23—84no—
650C23—84no—
651C23—84no—
652C23—84no—
653C23#53712yes—
654C23C22×D812yes—
655C23#57512yes—
656C23C23×D411yescharacteristic
657Q8—84no—
658D4—24no—
659D4—24no—
660D4—48no—
661D4—42no—
662D4—44no—
663D4—42no—
664D4—44no—
665D4—84no—
666D4—88no—
667D4—84no—
668C2×C4—21no—
669C2×C4—21no—
670C2×C4—21no—
671C2×C4—21no—
672C2×C4—21no—
673C2×C4—21no—
674C2×C4—21no—
675C2×C4—21no—
676C2×C4—28no—
677C2×C4—21no—
678C2×C4—21no—
679C2×C4—21no—
680C2×C4—21no—
681C2×C4—21no—
682C2×C4—21no—
683C2×C4—21no—
684C2×C4—21no—
685C2×C4—28no—
686C2×C4—24no—
687C2×C4—24no—
688C2×C4—21no—
689C2×C4—24no—
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—21no—
700C2×C4—21no—
701C2×C4—44no—
702C2×C4—44no—
703C2×C4—44no—
704C2×C4—416no—
705C2×C4—44no—
706C2×C4—48no—
707C2×C4—42no—
708C2×C4—42no—
709C2×C4—416no—
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—42no—
724C2×C4—42no—
725C2×C4—88no—
726C2×C4—84no—
727C2×C4—84no—
728C2×C4#52512yes—
729C2×C4#52512yes—
730C2×C4#53712yes—
731C2×C4C22×D812yes—
732C2×C4C22×D812yes—
733C2×C4C22×D812yes—
734C2×C4C22×D812yes—
735C2×C4C22×D812yes—
736C2×C4C22×D812yes—
737C2×C4#57512yes—
738C2×C4#57512yes—
739C2×C4C22×#4112yes—
740C2×C4C2×H(5,𝔽2)11yescharacteristic
741C2×C4C2×2−1+411yescharacteristic
742C2×C4#58512yes—
743C8—44no—
744C8—44no—
745C22—22no—
746C22—22no—
747C22—22no—
748C22—22no—
749C22—22no—
750C22—22no—
751C22—44no—
752C22—44no—
753C22—44no—
754C22—816no—
755C22—82no—
756C22—82no—
757C22—82no—
758C22—82no—
759C22—82no—
760C22—82no—
761C22—82no—
762C22—82no—
763C22—82no—
764C22—82no—
765C22—82no—
766C22#324514yes—
767C22C2×#52511yescharacteristic
768C22C2×#53711yescharacteristic
769C22#344911yescharacteristic
770C22C23×D811yescharacteristic
771C22C2×#57511yescharacteristic
772C22C2×#57511yescharacteristic
773C22C2×#57511yescharacteristic
774C4—22no—
775C4—22no—
776C4—22no—
777C4—22no—
778C4—22no—
779C4—22no—
780C4—22no—
781C4—22no—
782C4—41no—
783C4—41no—
784C4—44no—
785C4—41no—
786C4—41no—
787C4—82no—
788C4—82no—
789C4—82no—
790C4—82no—
791C4—82no—
792C4#310014yes—
793C4#349412yes—
794C4#349512yes—
795C2—24no—
796C2—84no—
797C2—162no—
798C2#3530211yescharacteristic
799C2C2×#310011yescharacteristic
800C2#6056311yescharacteristic
801C2C2×#324511yescharacteristic
802C2#6091711yescharacteristic
803C2#6094011yescharacteristic
804C2#6097011yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
prime radical#32902C2
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. #36631C2semidirect
2. C2×#2293C2semidirect
3. #33146C2semidirect
4. #33106C2semidirect
5. #32953C2semidirect
7. #29994C2semidirect
8. #29824C2semidirect
9. #29532C2semidirect
10. #29428C2semidirect
11. #29234C2semidirect
12. #28114C2semidirect
13. #24600C2semidirect
14. #24500C2semidirect
15. #22145C2semidirect
16. #22110C2semidirect
17. #20808C2semidirect
28. #2860C22semidirect
29. #2859C22semidirect
30. #2858C22semidirect
36. C4×C4⋊Q8C22semidirect
37. C4×#127C22semidirect
50. #2293C22semidirect
60. #2086C22semidirect
61. #2086C22semidirect
64. #2067C22semidirect
65. #2067C22semidirect
68. #1988C22semidirect
69. #1982C22semidirect
71. #1947C22semidirect
72. #1947C22semidirect
73. #1942C22semidirect
75. #1934C22semidirect
77. #1925C22semidirect
78. #1918C22semidirect
79. #1918C22semidirect
85. #1862C22semidirect
88. #1842C22semidirect
89. #1831C22semidirect
97. C4×C4⋊C8C22semidirect
98. C4×C4⋊C8C22semidirect
386. C2×C42D8semidirect

Maximal subgroups

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

subgroupindex
#366312
C2×#22932
#331462
#331062
#329532
#329022
#299942
#298242
#295322
#294282
#292342
#281142
#246002
#245002
#221452
#221102
#208082