Finite Group Databasebeta

← #6479934

Subgroups — #6479934

Order 512.

1992 conjugacy classes of subgroups.

The subgroup lattice has 796 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#33094C212yesmaximal, complemented
4#33002C212yesmaximal, complemented
5#29966C211yesmaximal, characteristic, complemented
6#29950C211yesmaximal, characteristic, complemented
7#29754C211yesmaximal, characteristic, complemented
8#29712C211yesmaximal, characteristic
9#29572C212yesmaximal, complemented
10#29552C212yesmaximal, complemented
11#29532C214yesmaximal, complemented
12#29428C214yesmaximal, complemented
13#29388C212yesmaximal, complemented
14#29364C212yesmaximal, complemented
15#22075C212yesmaximal, complemented
16#22040C212yesmaximal, complemented
17#20777C211yesmaximal, characteristic, complemented
18C2×#529—21no—
19C22×C4×D4C2211yescharacteristic
20C22×#117—21no—
21C2×#480C2212yes—
22C2×#447C2212yes—
23#2861—21no—
24#2860—21no—
25#2860C2212yescomplemented
26#2859C2211yescharacteristic, complemented
27#2858C2211yescharacteristic, complemented
28#2857C2211yescharacteristic
29#2856C2211yescharacteristic
30#2854—21no—
31#2854C2212yes—
32#2850—21no—
33C4×C4⋊Q8C2211yescharacteristic, complemented
34C4×#127C2211yescharacteristic, complemented
35C4×#124—21no—
36C4×#121—21no—
37C4×#121C2212yes—
38#2293—21no—
39#2293—21no—
40#2293—21no—
41#2293—21no—
42#2293—21no—
43#2293C2212yes—
44#2293C2212yes—
45#2293C2212yes—
46#2293C2212yes—
47#2293C2212yescomplemented
48C2×#390C2211yescharacteristic
49C2×#390C2211yescharacteristic
50C2×#389C2211yescharacteristic
51C2×#389C2211yescharacteristic
52C2×#388—21no—
53C2×#388—21no—
54C2×C4×C4⋊C4C2211yescharacteristic
55C2×C4×C22⋊C4—21no—
56C2×C43C2211yescharacteristic
57#2099C2212yescomplemented
58#2093C2212yes—
59#2086C2214yescomplemented
60#2083C2212yescomplemented
61#2071C2212yes—
62#2067C2214yes—
63#2067C2214yescomplemented
64#2057C2212yescomplemented
65#2054C2214yes—
66#2041C2212yescomplemented
67#2023C2212yes—
68#2011C2212yes—
69#1970C2214yes—
70#1942C2214yescomplemented
71#1934C2214yes—
72#1934C2214yescomplemented
73#1925C2214yes—
74#1925C2214yescomplemented
75#1925C2214yescomplemented
76#1918C2214yescomplemented
77#1918C2214yescomplemented
78#1918C2214yescomplemented
79#1879C2214yes—
80#1879C2214yes—
81#1879C2214yes—
82#1874C2212yes—
83#1874C2212yes—
84#1862C2214yes—
85#1862C2214yes—
86#1862C2214yescomplemented
87#1852C2212yes—
88#1852C2212yes—
89#1839C2212yescomplemented
90#1831C2212yescomplemented
91#1823C2212yes—
92#1817C2212yes—
93#1797C2211yescharacteristic
94#1797C2211yescharacteristic
95#1786C2212yes—
96C4×C4⋊C8C2212yescomplemented
97C4×C22⋊C8C2212yes—
98#1744C2212yescomplemented
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—24no—
116C2×C4×D4—22no—
117C2×C4×D4—24no—
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×#117—22no—
126C2×#117—22no—
127C2×#117—22no—
128C2×#117—22no—
129C2×#117—22no—
130C2×#117—48no—
131C22×C4⋊C4—21no—
132C22×C4⋊C4—21no—
133C22×C4⋊C4C2311yescharacteristic
134C22×C4⋊C4C2311yescharacteristic
135C22×C4⋊C4C2311yescharacteristic
136C22×C22⋊C4—21no—
137C22×C22⋊C4—21no—
138C22×C22⋊C4—21no—
139C22×C22⋊C4—21no—
140C22×C22⋊C4—21no—
141C22×C42—21no—
142C22×C42D411yescharacteristic
143C22×C42D411yescharacteristic
144C22×C42D411yescharacteristic
145C22×C42D411yescharacteristic
146C22×C42C2311yescharacteristic
147C22×C42C2311yescharacteristic
148C22×C42C2311yescharacteristic
149#480—28no—
150#447—28no—
151C2×#107C2314yes—
152C2×#107C2314yes—
153C2×#107C2314yes—
154C2×C4⋊C8C2312yes—
155C2×C4⋊C8C2312yes—
156C2×#102C2314yes—
157C2×#102C2314yes—
158C2×#102C2314yes—
159C2×#102C2314yes—
160C2×#102C2314yes—
161C2×#102C2314yes—
162C2×C22⋊C8C2312yes—
163C2×C22⋊C8C2312yes—
164C2×C4×C8C2314yes—
165#391—21no—
166#391—21no—
167#390—21no—
168#390—21no—
169#390—21no—
170#390—21no—
171#390—21no—
172#390—21no—
173#390—21no—
174#390—21no—
175#390—21no—
176#390—21no—
177#390C2312yes—
178#390C2312yes—
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#389—21no—
192#389—21no—
193#389C2312yes—
194#389C2312yes—
195#389C2312yes—
196#389C2312yes—
197#389C2312yes—
198#389C2312yes—
199#389C2312yes—
200#389C2312yes—
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#388—22no—
210#388—22no—
211#388—22no—
212#388—22no—
213#388—22no—
214#388—22no—
215#388—22no—
216#388—22no—
217#386—22no—
218#386—22no—
219#384C2311yescharacteristic
220#384C2311yescharacteristic
221#382—21no—
222#380—21no—
223#380C2312yes—
224C4×C4⋊C4—21no—
225C4×C4⋊C4—21no—
226C4×C4⋊C4—21no—
227C4×C4⋊C4C2312yes—
228C4×C4⋊C4C2312yes—
229C4×C4⋊C4C2312yes—
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#336C2312yes—
254#336C2312yes—
255#336C2314yes—
256#336C2314yes—
257#336C2314yes—
258C25—21no—
259C22×Q8—21no—
260C22×D4—22no—
261C22×D4—21no—
262C22×D4—21no—
263C22×D4—21no—
264C22×D4—22no—
265C22×D4—42no—
266C22×D4—42no—
267C22×D4#4114yes—
268C22×D4C2412yes—
269C22×D4C2412yes—
270C23×C4—28no—
271C23×C4—21no—
272C23×C4—22no—
273C23×C4—22no—
274C23×C4—21no—
275C23×C4—21no—
276C23×C4—22no—
277C23×C4—44no—
278C23×C4—44no—
279C23×C4C2×D411yescharacteristic
280C23×C4C2×D411yescharacteristic
281C23×C4C2×D411yescharacteristic
282C23×C4C2×D411yescharacteristic
283C23×C4C2×D411yescharacteristic
284C23×C4C2×D411yescharacteristic
285C23×C4C2411yescharacteristic
286C2×D8—28no—
287C2×D8—44no—
288C2×D8—44no—
289C22×C8C2414yes—
290C22×C8C2414yes—
291C4⋊Q8—42no—
292#127—42no—
293#126—48no—
294#125—44no—
295#124—44no—
296#124—44no—
297#123—48no—
298C22⋊Q8—44no—
299#121—24no—
300#121—24no—
301#121—44no—
302#121—44no—
303C4×Q8—44no—
304C4×D4—28no—
305C4×D4—28no—
306C4×D4—24no—
307C4×D4—24no—
308C4×D4—24no—
309C4×D4—24no—
310C4×D4—44no—
311C4×D4—44no—
312C4×D4—48no—
313C4×D4—44no—
314#117—48no—
315#117—48no—
316#117—48no—
317#117—48no—
318#117—48no—
319C2×C4⋊C4—21no—
320C2×C4⋊C4—22no—
321C2×C4⋊C4—22no—
322C2×C4⋊C4—22no—
323C2×C4⋊C4—22no—
324C2×C4⋊C4—22no—
325C2×C4⋊C4—21no—
326C2×C4⋊C4—21no—
327C2×C4⋊C4—22no—
328C2×C4⋊C4—22no—
329C2×C4⋊C4—21no—
330C2×C4⋊C4—22no—
331C2×C4⋊C4—21no—
332C2×C4⋊C4—21no—
333C2×C4⋊C4—22no—
334C2×C4⋊C4—21no—
335C2×C4⋊C4—21no—
336C2×C4⋊C4—42no—
337C2×C4⋊C4—42no—
338C2×C4⋊C4—44no—
339C2×C4⋊C4—44no—
340C2×C4⋊C4#4114yes—
341C2×C4⋊C4C2412yes—
342C2×C4⋊C4C2412yes—
343C2×C4⋊C4C2412yes—
344C2×C4⋊C4C2412yes—
345C2×C4⋊C4C2412yes—
346C2×C4⋊C4C2412yes—
347C2×C22⋊C4—28no—
348C2×C22⋊C4—22no—
349C2×C22⋊C4—22no—
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—44no—
370C2×C22⋊C4—44no—
371C2×C22⋊C4—44no—
372C2×C22⋊C4—44no—
373C2×C42—22no—
374C2×C42—22no—
375C2×C42—22no—
376C2×C42—22no—
377C2×C42—22no—
378C2×C42—42no—
379C2×C42—42no—
380C2×C42—42no—
381C2×C42—42no—
382C2×C42—42no—
383C2×C42—44no—
384C2×C42D818yescomplemented
385C2×C42C2×D411yescharacteristic
386C2×C42C2×D411yescharacteristic
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×C42C2411yescharacteristic
408C2×C42C2411yescharacteristic
409C2×C42C2411yescharacteristic
410C2×C42C2411yescharacteristic
411C2×C42C2411yescharacteristic
412C2×C42C2411yescharacteristic
413#107—28no—
414#107—44no—
415#107—44no—
416C4⋊C8—42no—
417C4⋊C8—42no—
418#102—28no—
419#102—28no—
420#102—44no—
421#102—44no—
422#102—44no—
423#102—44no—
424C22⋊C8—24no—
425C22⋊C8—24no—
426C4×C8—44no—
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#95—22no—
436#95—22no—
437#95—22no—
438#95—22no—
439C24—24no—
440C24—22no—
441C24—22no—
442C24—42no—
443C24—42no—
444C24—42no—
445C24—42no—
446C24—42no—
447C24—42no—
448C24C22×D411yescharacteristic
449C2×Q8—42no—
450C2×Q8—42no—
451C2×Q8—42no—
452C2×D4—24no—
453C2×D4—22no—
454C2×D4—22no—
455C2×D4—22no—
456C2×D4—24no—
457C2×D4—24no—
458C2×D4—24no—
459C2×D4—24no—
460C2×D4—48no—
461C2×D4—42no—
462C2×D4—42no—
463C2×D4—48no—
464C2×D4—42no—
465C2×D4—42no—
466C2×D4—42no—
467C2×D4—42no—
468C2×D4—44no—
469C2×D4—44no—
470C2×D4—44no—
471C2×D4—42no—
472C2×D4—42no—
473C2×D4C2×#4114yes—
474C22×C4—22no—
475C22×C4—22no—
476C22×C4—22no—
477C22×C4—22no—
478C22×C4—28no—
479C22×C4—28no—
480C22×C4—22no—
481C22×C4—24no—
482C22×C4—22no—
483C22×C4—22no—
484C22×C4—22no—
485C22×C4—22no—
486C22×C4—22no—
487C22×C4—22no—
488C22×C4—22no—
489C22×C4—22no—
490C22×C4—22no—
491C22×C4—22no—
492C22×C4—41no—
493C22×C4—41no—
494C22×C4—41no—
495C22×C4—41no—
496C22×C4—41no—
497C22×C4—41no—
498C22×C4—41no—
499C22×C4—41no—
500C22×C4—432no—
501C22×C4—44no—
502C22×C4—44no—
503C22×C4—44no—
504C22×C4—44no—
505C22×C4—42no—
506C22×C4—42no—
507C22×C4—44no—
508C22×C4—44no—
509C22×C4—42no—
510C22×C4—42no—
511C22×C4—42no—
512C22×C4—42no—
513C22×C4—42no—
514C22×C4—42no—
515C22×C4—44no—
516C22×C4C2×D814yes—
517C22×C4C2×D814yes—
518C22×C4C2×D814yes—
519C22×C4C22×D411yescharacteristic
520C22×C4C22×D411yescharacteristic
521C22×C4C22×D411yescharacteristic
522C22×C4C22×D411yescharacteristic
523C22×C4C22×D411yescharacteristic
524C22×C4C22×D411yescharacteristic
525C22×C4C22×D411yescharacteristic
526C22×C4C22×D411yescharacteristic
527C22×C4C22×D411yescharacteristic
528C22×C4C22×D411yescharacteristic
529C22×C4C22×D411yescharacteristic
530C22×C4C22×D411yescharacteristic
531C22×C4C22×D411yescharacteristic
532C22×C4C2×#4112yes—
533C22×C4C2×#4112yes—
534C22×C4C2511yescharacteristic
535D8—88no—
536C2×C8—24no—
537C2×C8—24no—
538C2×C8—24no—
539C2×C8—24no—
540C2×C8—24no—
541C2×C8—24no—
542C4⋊C4—24no—
543C4⋊C4—22no—
544C4⋊C4—22no—
545C4⋊C4—22no—
546C4⋊C4—24no—
547C4⋊C4—24no—
548C4⋊C4—24no—
549C4⋊C4—24no—
550C4⋊C4—42no—
551C4⋊C4—42no—
552C4⋊C4—42no—
553C4⋊C4—42no—
554C4⋊C4—44no—
555C4⋊C4—44no—
556C4⋊C4—44no—
557C4⋊C4—44no—
558C4⋊C4—44no—
559C4⋊C4—44no—
560C4⋊C4—42no—
561C4⋊C4—44no—
562C4⋊C4—42no—
563C4⋊C4—44no—
564C4⋊C4—42no—
565C4⋊C4C2×#4114yes—
566C22⋊C4—28no—
567C22⋊C4—28no—
568C22⋊C4—44no—
569C22⋊C4—44no—
570C22⋊C4—44no—
571C22⋊C4—44no—
572C22⋊C4—44no—
573C22⋊C4—44no—
574C22⋊C4—44no—
575C22⋊C4—44no—
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—
587C42—22no—
588C42—22no—
589C42—22no—
590C42—22no—
591C42—22no—
592C42—22no—
593C42—21no—
594C42—21no—
595C42—21no—
596C42—21no—
597C42—22no—
598C42—22no—
599C42—22no—
600C42—22no—
601C42—41no—
602C42—41no—
603C42—41no—
604C42—41no—
605C42—41no—
606C42—41no—
607C42—41no—
608C42—41no—
609C42—41no—
610C42—41no—
611C42—41no—
612C42—41no—
613C42—44no—
614C42—44no—
615C42—44no—
616C42C2×D814yes—
617C42C2×D814yes—
618C42C2×D814yes—
619C42C2×D814yes—
620C23—21no—
621C23—21no—
622C23—21no—
623C23—21no—
624C23—24no—
625C23—48no—
626C23—48no—
627C23—48no—
628C23—42no—
629C23—42no—
630C23—42no—
631C23—42no—
632C23—42no—
633C23—42no—
634C23—42no—
635C23—42no—
636C23—42no—
637C23—42no—
638C23—42no—
639C23—42no—
640C23—42no—
641C23—84no—
642C23—84no—
643C23—84no—
644C23—84no—
645C23#52512yes—
646C23C22×D812yes—
647C23#57512yes—
648C23C23×D411yescharacteristic
649Q8—84no—
650D4—28no—
651D4—48no—
652D4—44no—
653D4—44no—
654D4—44no—
655D4—84no—
656D4—84no—
657D4—88no—
658C2×C4—28no—
659C2×C4—21no—
660C2×C4—21no—
661C2×C4—21no—
662C2×C4—21no—
663C2×C4—21no—
664C2×C4—21no—
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—24no—
678C2×C4—24no—
679C2×C4—21no—
680C2×C4—21no—
681C2×C4—24no—
682C2×C4—21no—
683C2×C4—21no—
684C2×C4—21no—
685C2×C4—21no—
686C2×C4—21no—
687C2×C4—21no—
688C2×C4—21no—
689C2×C4—21no—
690C2×C4—21no—
691C2×C4—21no—
692C2×C4—44no—
693C2×C4—44no—
694C2×C4—44no—
695C2×C4—44no—
696C2×C4—416no—
697C2×C4—416no—
698C2×C4—44no—
699C2×C4—48no—
700C2×C4—42no—
701C2×C4—42no—
702C2×C4—42no—
703C2×C4—42no—
704C2×C4—42no—
705C2×C4—42no—
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—88no—
718C2×C4—84no—
719C2×C4—84no—
720C2×C4#52512yes—
721C2×C4C22×D812yes—
722C2×C4C22×D812yes—
723C2×C4C22×D812yes—
724C2×C4C22×D812yes—
725C2×C4C22×D812yes—
726C2×C4C22×D812yes—
727C2×C4#57512yes—
728C2×C4#57512yes—
729C2×C4C22×#4111yescharacteristic
730C2×C4C22×#4111yescharacteristic
731C2×C4#58512yes—
732C2×C4#58512yes—
733C8—44no—
734C8—44no—
735C22—22no—
736C22—22no—
737C22—22no—
738C22—22no—
739C22—22no—
740C22—22no—
741C22—44no—
742C22—44no—
743C22—44no—
744C22—816no—
745C22—82no—
746C22—82no—
747C22—82no—
748C22—82no—
749C22—82no—
750C22—82no—
751C22—82no—
752C22—82no—
753C22—82no—
754C22—82no—
755C22—82no—
756C22#310014yes—
757C22C2×#52511yescharacteristic
758C22#344911yescharacteristic
759C22#344911yescharacteristic
760C22C23×D811yescharacteristic
761C22C2×#57511yescharacteristic
762C22C2×#57511yescharacteristic
763C22C2×#57511yescharacteristic
764C4—22no—
765C4—22no—
766C4—22no—
767C4—22no—
768C4—22no—
769C4—22no—
770C4—22no—
771C4—22no—
772C4—22no—
773C4—41no—
774C4—41no—
775C4—44no—
776C4—41no—
777C4—41no—
778C4—82no—
779C4—82no—
780C4—82no—
781C4—82no—
782C4—82no—
783C4#349112yes—
784C4#349312yes—
785C2—24no—
786C2—84no—
787C2—162no—
788C2#3511811yescharacteristic
789C2C2×#310011yescharacteristic
790C2#6055911yescharacteristic
791C2#6094011yescharacteristic
792C2#6094011yescharacteristic
793C2#6095911yescharacteristic
794C2#6096411yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
prime radical#29712C2
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. #33094C2semidirect
4. #33002C2semidirect
5. #29966C2semidirect
6. #29950C2semidirect
7. #29754C2semidirect
9. #29572C2semidirect
10. #29552C2semidirect
11. #29532C2semidirect
12. #29428C2semidirect
13. #29388C2semidirect
14. #29364C2semidirect
15. #22075C2semidirect
16. #22040C2semidirect
17. #20777C2semidirect
25. #2860C22semidirect
26. #2859C22semidirect
27. #2858C22semidirect
33. C4×C4⋊Q8C22semidirect
34. C4×#127C22semidirect
47. #2293C22semidirect
57. #2099C22semidirect
59. #2086C22semidirect
60. #2083C22semidirect
63. #2067C22semidirect
64. #2057C22semidirect
66. #2041C22semidirect
70. #1942C22semidirect
72. #1934C22semidirect
74. #1925C22semidirect
75. #1925C22semidirect
76. #1918C22semidirect
77. #1918C22semidirect
78. #1918C22semidirect
86. #1862C22semidirect
89. #1839C22semidirect
90. #1831C22semidirect
96. C4×C4⋊C8C22semidirect
98. #1744C22semidirect
384. 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
#330942
#330022
#299662
#299502
#297542
#297122
#295722
#295522
#295322
#294282
#293882
#293642
#220752
#220402
#207772