Finite Group Databasebeta

← #6462011

Subgroups — #6462011

Order 512.

2246 conjugacy classes of subgroups.

The subgroup lattice has 800 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C4×#532C211yesmaximal, characteristic, complemented
2C2×#2293C211yesmaximal, characteristic, complemented
3#29536C214yesmaximal, complemented
4#29393C212yesmaximal, complemented
5#29365C212yesmaximal, complemented
6#29235C212yesmaximal, complemented
7#28114C212yesmaximal, complemented
8#27613C211yesmaximal, characteristic, complemented
9#27585C211yesmaximal, characteristic, complemented
10#24060C211yesmaximal, characteristic, complemented
11#23930C211yesmaximal, characteristic
12#23780C212yesmaximal, complemented
13#23682C212yesmaximal, complemented
14#21578C212yesmaximal, complemented
15#21452C212yesmaximal, complemented
16#21122C214yesmaximal, complemented
17#20778C211yesmaximal, characteristic, complemented
18C2×#532C2211yescharacteristic
19C2×C4×#41—21no—
20C22×C4×D4C2211yescharacteristic
21C22×#117—21no—
22C2×#480C2212yes—
23C2×#447C2212yes—
24C2×#442C2214yes—
25C4×C4⋊Q8C2211yescharacteristic, complemented
26C4×C4⋊Q8C2211yescharacteristic, complemented
27C4×#127C2211yescharacteristic, complemented
28C4×#127C2211yescharacteristic, complemented
29C4×#124—21no—
30C4×#124—21no—
31C4×#121—21no—
32C4×#121—21no—
33C4×#121C2212yes—
34C4×#121C2212yes—
35#2297—21no—
36#2293—21no—
37#2293—21no—
38#2293—21no—
39#2293—21no—
40#2293—21no—
41#2293C2212yes—
42#2293C2212yes—
43#2293C2212yes—
44#2293C2212yes—
45#2293C2212yescomplemented
46C2×#390C2211yescharacteristic
47C2×#390C2211yescharacteristic
48C2×#389C2211yescharacteristic
49C2×#389C2211yescharacteristic
50C2×#388—21no—
51C2×#388—21no—
52#2285C2211yescharacteristic
53C42×D4—21no—
54C42×D4C2212yescomplemented
55C2×C4×C4⋊C4C2211yescharacteristic
56C2×C4×C22⋊C4—21no—
57C2×C43C2211yescharacteristic
58#2100C2212yescomplemented
59#2094C2212yes—
60#2088C2214yescomplemented
61#2084C2212yescomplemented
62#2071C2212yes—
63#2067C2214yes—
64#2065C2214yescomplemented
65#2057C2212yescomplemented
66#2054C2214yes—
67#2041C2212yescomplemented
68#2023C2212yes—
69#2011C2212yes—
70#1926C2214yes—
71#1926C2214yescomplemented
72#1925C2214yes—
73#1921C2214yescomplemented
74#1920C2214yescomplemented
75#1919C2214yescomplemented
76#1879C2214yes—
77#1879C2214yes—
78#1879C2214yes—
79#1874C2212yes—
80#1874C2212yes—
81#1864C2214yes—
82#1864C2214yescomplemented
83#1862C2214yescomplemented
84#1853C2212yes—
85#1853C2212yes—
86#1839C2212yescomplemented
87#1831C2212yescomplemented
88#1823C2212yes—
89#1817C2211yescharacteristic
90#1817C2211yescharacteristic
91#1797C2212yes—
92#1786C2212yes—
93#1776C2214yescomplemented
94#1767C2212yescomplemented
95#1762C2214yes—
96#1762C2214yescomplemented
97#1749C2212yes—
98#1745C2212yescomplemented
99C22×#41—21no—
100C23×D4C2311yescharacteristic
101C24×C4—21no—
102C22×D8C2314yes—
103#532—28no—
104C2×C4⋊Q8C2311yescharacteristic
105C2×#127C2311yescharacteristic
106C2×#124—21no—
107C2×#121—21no—
108C2×#121C2312yes—
109C4×#41—48no—
110C2×C4×Q8—21no—
111C2×C4×Q8—21no—
112C2×C4×D4—28no—
113C2×C4×D4—22no—
114C2×C4×D4—22no—
115C2×C4×D4—21no—
116C2×C4×D4—21no—
117C2×C4×D4—21no—
118C2×C4×D4—21no—
119C2×C4×D4—21no—
120C2×C4×D4—21no—
121C2×C4×D4—21no—
122C2×C4×D4C2312yes—
123C2×C4×D4C2312yes—
124C2×C4×D4C2312yes—
125C2×C4×D4C2312yes—
126C2×C4×D4C2312yes—
127C2×#117—21no—
128C2×#117—22no—
129C2×#117—22no—
130C2×#117—22no—
131C2×#117—22no—
132C2×#117—22no—
133C2×#117—48no—
134C22×C4⋊C4—21no—
135C22×C4⋊C4—21no—
136C22×C4⋊C4C2311yescharacteristic
137C22×C4⋊C4C2311yescharacteristic
138C22×C4⋊C4C2311yescharacteristic
139C22×C22⋊C4—21no—
140C22×C22⋊C4—21no—
141C22×C22⋊C4—21no—
142C22×C22⋊C4—21no—
143C22×C22⋊C4—21no—
144C22×C42—21no—
145C22×C42—22no—
146C22×C42D411yescharacteristic
147C22×C42D411yescharacteristic
148C22×C42D411yescharacteristic
149C22×C42D411yescharacteristic
150C22×C42C2311yescharacteristic
151C22×C42C2311yescharacteristic
152C22×C42C2311yescharacteristic
153#480—28no—
154#447—28no—
155#442—216no—
156C2×#107C2314yes—
157C2×#106C2314yes—
158C2×#106C2314yes—
159C2×C4⋊C8C2314yes—
160C2×#102C2314yes—
161C2×#102C2314yes—
162C2×#102C2314yes—
163C2×#102C2314yes—
164C2×#102C2314yes—
165C2×#102C2314yes—
166C2×C22⋊C8C2312yes—
167C2×C22⋊C8C2312yes—
168C2×#97C2314yes—
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#390C2312yes—
180#390C2312yes—
181#390C2312yes—
182#390C2312yes—
183#390C2312yes—
184#390C2312yes—
185#389—21no—
186#389—21no—
187#389—21no—
188#389—21no—
189#389—21no—
190#389—21no—
191#389C2312yes—
192#389C2312yes—
193#389C2312yes—
194#389C2312yes—
195#389C2312yes—
196#389C2312yes—
197#388—22no—
198#388—22no—
199#388—22no—
200#388—22no—
201#388—22no—
202#388—22no—
203#388—22no—
204#388—22no—
205#388—22no—
206#388—22no—
207#388—22no—
208#388—22no—
209#386—22no—
210#386—22no—
211#384C2311yescharacteristic
212#384C2311yescharacteristic
213#382—21no—
214#380—21no—
215#380C2312yes—
216C4×C4⋊C4—21no—
217C4×C4⋊C4—21no—
218C4×C4⋊C4—21no—
219C4×C4⋊C4—21no—
220C4×C4⋊C4—21no—
221C4×C4⋊C4C2312yes—
222C4×C4⋊C4C2312yes—
223C4×C4⋊C4C2312yes—
224C4×C4⋊C4C2312yes—
225C4×C4⋊C4C2312yes—
226C4×C22⋊C4—22no—
227C4×C22⋊C4—22no—
228C4×C22⋊C4—22no—
229C4×C22⋊C4—22no—
230C4×C22⋊C4—22no—
231C4×C22⋊C4—22no—
232C4×C22⋊C4—22no—
233C4×C22⋊C4—22no—
234C4×C22⋊C4—22no—
235C4×C22⋊C4—22no—
236C2×#95—21no—
237C2×#95—21no—
238C2×#95—21no—
239C43D411yescharacteristic
240C43D411yescharacteristic
241C43D411yescharacteristic
242C43D411yescharacteristic
243C43C2311yescharacteristic
244C43C2311yescharacteristic
245C43C2311yescharacteristic
246C43C2311yescharacteristic
247#340C2314yes—
248#340C2314yes—
249#340C2314yes—
250#340C2314yes—
251#340C2314yes—
252#340C2314yes—
253#336C2314yes—
254#336C2312yes—
255#336C2312yes—
256#336C2312yes—
257#336C2312yes—
258#336C2314yes—
259C25—21no—
260C2×#41—28no—
261C2×#41—44no—
262C2×#41—44no—
263C22×Q8—21no—
264C22×D4—22no—
265C22×D4—24no—
266C22×D4—21no—
267C22×D4—21no—
268C22×D4—21no—
269C22×D4—24no—
270C22×D4—42no—
271C22×D4C2412yes—
272C22×D4C2412yes—
273C23×C4—28no—
274C23×C4—21no—
275C23×C4—22no—
276C23×C4—22no—
277C23×C4—22no—
278C23×C4—21no—
279C23×C4—21no—
280C23×C4—22no—
281C23×C4—22no—
282C23×C4—44no—
283C23×C4—44no—
284C23×C4C2×D411yescharacteristic
285C23×C4C2×D411yescharacteristic
286C23×C4C2×D411yescharacteristic
287C23×C4C2×D411yescharacteristic
288C23×C4C2×D411yescharacteristic
289C23×C4C2×D411yescharacteristic
290C23×C4C2411yescharacteristic
291C2×D8—28no—
292C2×D8—28no—
293C2×D8—44no—
294C22×C8C2414yes—
295C22×C8C2414yes—
296C4⋊Q8—24no—
297#127—24no—
298#124—28no—
299#121—28no—
300#121—24no—
301#121#4118yes—
302C4×Q8—44no—
303C4×Q8—44no—
304C4×D4—28no—
305C4×D4—28no—
306C4×D4—28no—
307C4×D4—24no—
308C4×D4—24no—
309C4×D4—24no—
310C4×D4—24no—
311C4×D4—24no—
312C4×D4—28no—
313C4×D4—44no—
314C4×D4—44no—
315C4×D4—44no—
316C4×D4—44no—
317C4×D4—44no—
318C4×D4—48no—
319C4×D4—48no—
320C4×D4#4118yescomplemented
321#117—48no—
322#117—48no—
323#117—48no—
324#117—48no—
325#117—48no—
326#117—44no—
327C2×C4⋊C4—21no—
328C2×C4⋊C4—21no—
329C2×C4⋊C4—24no—
330C2×C4⋊C4—24no—
331C2×C4⋊C4—22no—
332C2×C4⋊C4—22no—
333C2×C4⋊C4—22no—
334C2×C4⋊C4—22no—
335C2×C4⋊C4—21no—
336C2×C4⋊C4—21no—
337C2×C4⋊C4—21no—
338C2×C4⋊C4—21no—
339C2×C4⋊C4—22no—
340C2×C4⋊C4—22no—
341C2×C4⋊C4—21no—
342C2×C4⋊C4—21no—
343C2×C4⋊C4—42no—
344C2×C4⋊C4—44no—
345C2×C4⋊C4—44no—
346C2×C4⋊C4C2412yes—
347C2×C4⋊C4C2412yes—
348C2×C4⋊C4C2412yes—
349C2×C4⋊C4C2412yes—
350C2×C4⋊C4C2412yes—
351C2×C4⋊C4C2412yes—
352C2×C22⋊C4—28no—
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—22no—
372C2×C22⋊C4—44no—
373C2×C22⋊C4—44no—
374C2×C22⋊C4—44no—
375C2×C22⋊C4—44no—
376C2×C42—24no—
377C2×C42—24no—
378C2×C42—24no—
379C2×C42—24no—
380C2×C42—22no—
381C2×C42—22no—
382C2×C42—22no—
383C2×C42—22no—
384C2×C42—22no—
385C2×C42—42no—
386C2×C42—42no—
387C2×C42—42no—
388C2×C42—48no—
389C2×C42—44no—
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×C42C2×D411yescharacteristic
410C2×C42C2×D411yescharacteristic
411C2×C42C2×D411yescharacteristic
412C2×C42C2411yescharacteristic
413C2×C42C2411yescharacteristic
414C2×C42C2411yescharacteristic
415C2×C42C2411yescharacteristic
416C2×C42C2411yescharacteristic
417C2×C42C2411yescharacteristic
418#107—28no—
419#106—28no—
420#106—44no—
421C4⋊C8—44no—
422#102—28no—
423#102—28no—
424#102—28no—
425#102—28no—
426#102—44no—
427#102—44no—
428C22⋊C8—24no—
429C22⋊C8—24no—
430#97—28no—
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
453#41—432no—
454C2×Q8—24no—
455C2×Q8—42no—
456C2×Q8—42no—
457C2×D4—24no—
458C2×D4—24no—
459C2×D4—24no—
460C2×D4—28no—
461C2×D4—24no—
462C2×D4—24no—
463C2×D4—22no—
464C2×D4—22no—
465C2×D4—24no—
466C2×D4—24no—
467C2×D4—416no—
468C2×D4—42no—
469C2×D4—42no—
470C2×D4—42no—
471C2×D4—44no—
472C2×D4—44no—
473C2×D4—42no—
474C2×D4—42no—
475C2×D4—42no—
476C2×D4C2×#4114yes—
477C2×D4C2×#4114yes—
478C22×C4—22no—
479C22×C4—22no—
480C22×C4—22no—
481C22×C4—22no—
482C22×C4—22no—
483C22×C4—22no—
484C22×C4—22no—
485C22×C4—24no—
486C22×C4—28no—
487C22×C4—28no—
488C22×C4—22no—
489C22×C4—22no—
490C22×C4—22no—
491C22×C4—22no—
492C22×C4—22no—
493C22×C4—22no—
494C22×C4—28no—
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—44no—
508C22×C4—44no—
509C22×C4—432no—
510C22×C4—44no—
511C22×C4—44no—
512C22×C4—44no—
513C22×C4—44no—
514C22×C4—44no—
515C22×C4—42no—
516C22×C4—42no—
517C22×C4—44no—
518C22×C4—44no—
519C22×C4—42no—
520C22×C4—42no—
521C22×C4—42no—
522C22×C4—42no—
523C22×C4—42no—
524C22×C4—42no—
525C22×C4—44no—
526C22×C4—44no—
527C22×C4AGL(1,ℤ/8)14yes—
528C22×C4AGL(1,ℤ/8)14yes—
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×C4C22×D411yescharacteristic
539C22×C4C22×D411yescharacteristic
540C22×C4C22×D411yescharacteristic
541C22×C4C22×D411yescharacteristic
542C22×C4C2×#4114yes—
543C22×C4C2511yescharacteristic
544D8—416no—
545C2×C8—24no—
546C2×C8—24no—
547C2×C8—24no—
548C2×C8—24no—
549C2×C8—24no—
550C2×C8—24no—
551C4⋊C4—24no—
552C4⋊C4—24no—
553C4⋊C4—22no—
554C4⋊C4—22no—
555C4⋊C4—24no—
556C4⋊C4—24no—
557C4⋊C4—24no—
558C4⋊C4—24no—
559C4⋊C4—42no—
560C4⋊C4—44no—
561C4⋊C4—44no—
562C4⋊C4—42no—
563C4⋊C4—42no—
564C4⋊C4—44no—
565C4⋊C4—42no—
566C4⋊C4—42no—
567C4⋊C4—44no—
568C4⋊C4—44no—
569C4⋊C4—44no—
570C4⋊C4—42no—
571C4⋊C4C2×#4114yes—
572C4⋊C4C2×#4114yes—
573C22⋊C4—28no—
574C22⋊C4—28no—
575C22⋊C4—28no—
576C22⋊C4—28no—
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—
592C42—22no—
593C42—22no—
594C42—22no—
595C42—22no—
596C42—22no—
597C42—22no—
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—22no—
611C42—22no—
612C42—22no—
613C42—41no—
614C42—41no—
615C42—41no—
616C42—41no—
617C42—41no—
618C42—41no—
619C42—44no—
620C42—44no—
621C42—44no—
622C42—44no—
623C42—44no—
624C42C2×#4114yes—
625C23—21no—
626C23—21no—
627C23—21no—
628C23—21no—
629C23—24no—
630C23—24no—
631C23—48no—
632C23—48no—
633C23—48no—
634C23—42no—
635C23—42no—
636C23—42no—
637C23—42no—
638C23—42no—
639C23—42no—
640C23—42no—
641C23—42no—
642C23—42no—
643C23—42no—
644C23—42no—
645C23—42no—
646C23—84no—
647C23—84no—
648C23—84no—
649C23—84no—
650C23#52512yes—
651C23C2×AGL(1,ℤ/8)12yes—
652C23C2×AGL(1,ℤ/8)12yes—
653C23C23×D411yescharacteristic
654Q8—48no—
655D4—28no—
656D4—28no—
657D4—48no—
658D4—48no—
659D4—48no—
660D4—416no—
661D4—44no—
662D4—44no—
663C2×C4—28no—
664C2×C4—28no—
665C2×C4—21no—
666C2×C4—21no—
667C2×C4—21no—
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—21no—
677C2×C4—21no—
678C2×C4—21no—
679C2×C4—21no—
680C2×C4—21no—
681C2×C4—21no—
682C2×C4—21no—
683C2×C4—28no—
684C2×C4—21no—
685C2×C4—21no—
686C2×C4—24no—
687C2×C4—24no—
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—44no—
699C2×C4—44no—
700C2×C4—44no—
701C2×C4—416no—
702C2×C4—416no—
703C2×C4—416no—
704C2×C4—44no—
705C2×C4—48no—
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—88no—
723C2×C4—88no—
724C2×C4—84no—
725C2×C4—84no—
726C2×C4#52512yes—
727C2×C4#52512yes—
728C2×C4#52512yes—
729C2×C4C2×AGL(1,ℤ/8)12yes—
730C2×C4C2×AGL(1,ℤ/8)12yes—
731C2×C4C2×AGL(1,ℤ/8)12yes—
732C2×C4C2×AGL(1,ℤ/8)12yes—
733C2×C4#57512yes—
734C2×C4#57512yes—
735C2×C4C22×#4112yes—
736C2×C4C22×#4112yes—
737C2×C4#58512yes—
738C8—44no—
739C8—44no—
740C22—22no—
741C22—22no—
742C22—22no—
743C22—22no—
744C22—22no—
745C22—22no—
746C22—44no—
747C22—44no—
748C22—44no—
749C22—44no—
750C22—44no—
751C22—44no—
752C22—816no—
753C22—82no—
754C22—82no—
755C22—82no—
756C22—82no—
757C22—82no—
758C22—82no—
759C22—82no—
760C22—82no—
761C22#310914yes—
762C22C2×#52511yescharacteristic
763C22C2×#52511yescharacteristic
764C22#344911yescharacteristic
765C22C22×AGL(1,ℤ/8)11yescharacteristic
766C22C22×AGL(1,ℤ/8)11yescharacteristic
767C22C2×#57511yescharacteristic
768C22C2×#57511yescharacteristic
769C4—22no—
770C4—22no—
771C4—22no—
772C4—22no—
773C4—22no—
774C4—22no—
775C4—22no—
776C4—22no—
777C4—22no—
778C4—41no—
779C4—41no—
780C4—44no—
781C4—44no—
782C4—41no—
783C4—41no—
784C4—82no—
785C4—82no—
786C4—82no—
787C4—82no—
788C4#347514yes—
789C2—24no—
790C2—84no—
791C2—84no—
792C2#3487511yescharacteristic
793C2C2×#310911yescharacteristic
794C2#6055811yescharacteristic
795C2#6056111yescharacteristic
796C2#6056311yescharacteristic
797C2#6095811yescharacteristic
798C2#6096511yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
prime radical#23930C2
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. C4×#532C2semidirect
2. C2×#2293C2semidirect
3. #29536C2semidirect
4. #29393C2semidirect
5. #29365C2semidirect
6. #29235C2semidirect
7. #28114C2semidirect
8. #27613C2semidirect
9. #27585C2semidirect
10. #24060C2semidirect
12. #23780C2semidirect
13. #23682C2semidirect
14. #21578C2semidirect
15. #21452C2semidirect
16. #21122C2semidirect
17. #20778C2semidirect
25. C4×C4⋊Q8C22semidirect
26. C4×C4⋊Q8C22semidirect
27. C4×#127C22semidirect
28. C4×#127C22semidirect
45. #2293C22semidirect
54. C42×D4C22semidirect
58. #2100C22semidirect
60. #2088C22semidirect
61. #2084C22semidirect
64. #2065C22semidirect
65. #2057C22semidirect
67. #2041C22semidirect
71. #1926C22semidirect
73. #1921C22semidirect
74. #1920C22semidirect
75. #1919C22semidirect
82. #1864C22semidirect
83. #1862C22semidirect
86. #1839C22semidirect
87. #1831C22semidirect
93. #1776C22semidirect
94. #1767C22semidirect
96. #1762C22semidirect
98. #1745C22semidirect
320. C4×D4#41semidirect

Maximal subgroups

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

subgroupindex
C4×#5322
C2×#22932
#295362
#293932
#293652
#292352
#281142
#276132
#275852
#240602
#239302
#237802
#236822
#215782
#214522
#211222
#207782