Finite Group Databasebeta

← #6644487

Subgroups — #6644487

Order 512.

2136 conjugacy classes of subgroups.

The subgroup lattice has 802 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#35000C211yesmaximal, characteristic
2C2×#2538C211yesmaximal, characteristic, complemented
3#33005C212yesmaximal, complemented
4#31998C214yesmaximal, complemented
5#31386C214yesmaximal, complemented
6#30561C214yesmaximal, complemented
7#30404C214yesmaximal, complemented
8#29907C212yesmaximal, complemented
9#27601C211yesmaximal, characteristic, complemented
10#24553C212yesmaximal, complemented
11#24381C212yesmaximal, complemented
12#24005C211yesmaximal, characteristic, complemented
13#24003C211yesmaximal, characteristic, complemented
14#23919C211yesmaximal, characteristic, complemented
15#21738C211yesmaximal, characteristic, complemented
16C2×#534—21no—
17C22×C22⋊Q8C2211yescharacteristic
18C22×C22⋊Q8C2211yescharacteristic, complemented
19C22×#121C2211yescharacteristic
20C22×C4×Q8C2211yescharacteristic, complemented
21C22×C4×D4C2211yescharacteristic
22C2×#481C2212yes—
23C2×#483C2212yescomplemented
24C2×#465C2214yescomplemented
25C2×#448C2212yes—
26C2×#450C2212yescomplemented
27C22×C22⋊C8C2212yescomplemented
28#2854C2212yes—
29#2847C2212yes—
30#2618—21no—
31#2617—21no—
32#2543—22no—
33#2538—22no—
34#2538—22no—
35#2538C2214yes—
36#2538C2214yescomplemented
37#2534—22no—
38#2486C2212yes—
39#2416C2212yes—
40#2416C2212yes—
41#2408C2212yes—
42C2×#396—21no—
43C2×#396—21no—
44#2308—21no—
45C2×#390—21no—
46C2×#389—21no—
47C2×#384C2211yescharacteristic, complemented
48C2×#380C2211yescharacteristic
49C2×#380C2211yescharacteristic
50C2×#380C2211yescharacteristic, complemented
51#2100C2214yescomplemented
52#2094C2214yescomplemented
53#2084C2214yescomplemented
54#2077C2214yescomplemented
55#2077C2214yescomplemented
56#2071C2214yescomplemented
57#2035C2214yescomplemented
58#2035C2214yescomplemented
59#2034C2214yescomplemented
60#2034C2214yescomplemented
61#2000C2214yescomplemented
62#2000C2214yescomplemented
63#1893C2214yescomplemented
64#1892C2214yescomplemented
65#1880C2214yescomplemented
66#1880C2214yescomplemented
67#1874C2212yes—
68#1874C2212yes—
69#1872C2212yescomplemented
70#1872C2212yescomplemented
71#1869C2214yes—
72#1869C2214yescomplemented
73#1865C2214yescomplemented
74#1865C2214yescomplemented
75#1853C2212yescomplemented
76#1853C2212yescomplemented
77#1853C2212yescomplemented
78#1853C2212yescomplemented
79#1824C2212yescomplemented
80#1823C2212yescomplemented
81#1817C2212yescomplemented
82#1807C2214yescomplemented
83#1787C2212yescomplemented
84#1786C2212yescomplemented
85#1779C2211yescharacteristic
86#1779C2211yescharacteristic
87C23×Q8C2311yescharacteristic
88C23×D4—21no—
89C23×D4D411yescharacteristic
90C23×D4C2311yescharacteristic
91C24×C4C2311yescharacteristic
92C24×C4C2311yescharacteristic
93C22×SD16C2314yes—
94C23×C8C2314yes—
95#534—48no—
96C2×#123—22no—
97C2×#123—22no—
98C2×C22⋊Q8—21no—
99C2×C22⋊Q8—21no—
100C2×C22⋊Q8—22no—
101C2×C22⋊Q8—44no—
102C2×C22⋊Q8—44no—
103C2×C22⋊Q8C2312yes—
104C2×C22⋊Q8C2312yes—
105C2×C22⋊Q8C2314yes—
106C2×#121—22no—
107C2×#121—22no—
108C2×#121—21no—
109C2×#121—21no—
110C2×#121—44no—
111C2×#121C2312yes—
112C2×#121C2312yes—
113C2×#121C2312yes—
114C2×#121C2312yes—
115C2×#120—22no—
116C2×#120—22no—
117C2×C4×Q8—22no—
118C2×C4×Q8—44no—
119C2×C4×Q8C2314yes—
120C2×C4×D4—44no—
121C2×C4×D4D412yes—
122C2×C4×D4D412yes—
123C2×C4×D4C2312yes—
124C2×C4×D4C2312yes—
125C22×C4⋊C4—21no—
126C22×C4⋊C4—21no—
127C22×C4⋊C4—21no—
128C22×C4⋊C4—21no—
129C22×C4⋊C4—21no—
130C22×C4⋊C4D411yescharacteristic
131C22×C4⋊C4C2311yescharacteristic
132C22×C4⋊C4C2311yescharacteristic
133C22×C4⋊C4C2311yescharacteristic
134C22×C4⋊C4C2311yescharacteristic
135C22×C4⋊C4C2311yescharacteristic
136C22×C4⋊C4C2311yescharacteristic
137C22×C22⋊C4—21no—
138C22×C22⋊C4—21no—
139C22×C22⋊C4—21no—
140C22×C22⋊C4—21no—
141C22×C22⋊C4—21no—
142C22×C22⋊C4—21no—
143C22×C22⋊C4D411yescharacteristic
144C22×C22⋊C4D411yescharacteristic
145C22×C42—21no—
146C22×C42C2311yescharacteristic
147#483—44no—
148#481—44no—
149#465—48no—
150#450—44no—
151#448—44no—
152C2×#106C2314yes—
153C2×#106C2314yes—
154C2×#106C2314yes—
155C2×#103C2314yes—
156C2×#103C2314yes—
157C2×#103C2314yes—
158C2×#102C2314yes—
159C2×#102C2314yes—
160C2×#102C2314yes—
161C2×C22⋊C8—44no—
162C2×C22⋊C8C2312yes—
163C2×C22⋊C8C2312yes—
164C2×C22⋊C8C2312yes—
165C2×C22⋊C8C2312yes—
166C2×C22⋊C8C2314yes—
167C2×C22⋊C8C2312yes—
168C2×C22⋊C8C2312yes—
169#398—22no—
170#397—22no—
171#396—22no—
172#396—22no—
173#396—24no—
174#396—24no—
175#396—24no—
176#396—24no—
177#394—22no—
178#394—22no—
179#394—22no—
180#392—22no—
181#390—24no—
182#390—24no—
183#390C2312yes—
184#390C2312yes—
185#389—24no—
186#389—24no—
187#389C2312yes—
188#389C2312yes—
189#388—22no—
190#388—22no—
191#386—22no—
192#386—22no—
193#386—22no—
194#386—22no—
195#386—22no—
196#386—22no—
197#384—22no—
198#384C2314yes—
199#381—22no—
200#380—21no—
201#380—21no—
202#380—21no—
203#380—21no—
204#380—22no—
205#380C2312yes—
206#380C2314yes—
207#380C2312yes—
208#380C2312yes—
209#380C2312yes—
210#380C2312yes—
211#380C2312yes—
212#379—22no—
213C2×#95—21no—
214C2×#95—21no—
215C2×#95—21no—
216#340C2314yes—
217#340C2314yes—
218#340C2314yes—
219#340C2314yes—
220#340C2314yes—
221#340C2314yes—
222#336C2314yes—
223#336C2314yes—
224C25—21no—
225C25C2×D411yescharacteristic
226C25C2×D411yescharacteristic
227C22×Q8—24no—
228C22×Q8—21no—
229C22×Q8—24no—
230C22×Q8—42no—
231C22×Q8C2412yes—
232C22×D4—22no—
233C22×D4—22no—
234C22×D4—22no—
235C22×D4—22no—
236C22×D4—21no—
237C22×D4—42no—
238C22×D4—42no—
239C22×D4—42no—
240C22×D4—42no—
241C22×D4—42no—
242C22×D4—44no—
243C22×D4—44no—
244C22×D4—44no—
245C22×D4SD1618yescomplemented
246C22×D4C2×D412yes—
247C22×D4C2×D412yes—
248C22×D4C2412yes—
249C23×C4—21no—
250C23×C4—24no—
251C23×C4—24no—
252C23×C4—21no—
253C23×C4—21no—
254C23×C4—21no—
255C23×C4—21no—
256C23×C4—21no—
257C23×C4—21no—
258C23×C4—42no—
259C23×C4—42no—
260C23×C4—42no—
261C23×C4—42no—
262C23×C4C2×D411yescharacteristic
263C23×C4C2×D411yescharacteristic
264C23×C4C2×D411yescharacteristic
265C23×C4C2×D411yescharacteristic
266C23×C4C2×D411yescharacteristic
267C23×C4C2×D411yescharacteristic
268C23×C4C2×D412yes—
269C23×C4C2411yescharacteristic
270C23×C4C2411yescharacteristic
271C23×C4C2412yes—
272C23×C4C2411yescharacteristic
273C2×SD16—28no—
274C2×SD16—44no—
275C2×SD16—44no—
276C22×C8—44no—
277C22×C8—44no—
278C22×C8—44no—
279C22×C8C2414yes—
280C22×C8C2414yes—
281#123—48no—
282#123—48no—
283C22⋊Q8—24no—
284C22⋊Q8—28no—
285C22⋊Q8—24no—
286C22⋊Q8—42no—
287C22⋊Q8—44no—
288C22⋊Q8—42no—
289C22⋊Q8—44no—
290C22⋊Q8—44no—
291C22⋊Q8—48no—
292#121—24no—
293#121—24no—
294#121—42no—
295#121—42no—
296#121—44no—
297#121—44no—
298#121—48no—
299#121—48no—
300#121—44no—
301#121—44no—
302#120—48no—
303#120—48no—
304C4×Q8—44no—
305C4×Q8—44no—
306C4×Q8—48no—
307C4×D4—44no—
308C4×D4—44no—
309C4×D4—42no—
310C4×D4—42no—
311C4×D4—42no—
312C4×D4—42no—
313C2×C4⋊C4—24no—
314C2×C4⋊C4—24no—
315C2×C4⋊C4—24no—
316C2×C4⋊C4—22no—
317C2×C4⋊C4—22no—
318C2×C4⋊C4—24no—
319C2×C4⋊C4—21no—
320C2×C4⋊C4—21no—
321C2×C4⋊C4—21no—
322C2×C4⋊C4—21no—
323C2×C4⋊C4—22no—
324C2×C4⋊C4—22no—
325C2×C4⋊C4—24no—
326C2×C4⋊C4—21no—
327C2×C4⋊C4—21no—
328C2×C4⋊C4—42no—
329C2×C4⋊C4—42no—
330C2×C4⋊C4—42no—
331C2×C4⋊C4—42no—
332C2×C4⋊C4—42no—
333C2×C4⋊C4—42no—
334C2×C4⋊C4—44no—
335C2×C4⋊C4—44no—
336C2×C4⋊C4—44no—
337C2×C4⋊C4—44no—
338C2×C4⋊C4—82no—
339C2×C4⋊C4C2×D412yes—
340C2×C4⋊C4C2×D412yes—
341C2×C4⋊C4C2412yes—
342C2×C4⋊C4C2412yes—
343C2×C4⋊C4C2412yes—
344C2×C4⋊C4C2412yes—
345C2×C4⋊C4C2412yes—
346C2×C4⋊C4C2412yes—
347C2×C22⋊C4—22no—
348C2×C22⋊C4—22no—
349C2×C22⋊C4—22no—
350C2×C22⋊C4—24no—
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—24no—
360C2×C22⋊C4—22no—
361C2×C22⋊C4—22no—
362C2×C22⋊C4—22no—
363C2×C22⋊C4—22no—
364C2×C22⋊C4—22no—
365C2×C22⋊C4—42no—
366C2×C22⋊C4—42no—
367C2×C22⋊C4—44no—
368C2×C22⋊C4—44no—
369C2×C22⋊C4—44no—
370C2×C22⋊C4—44no—
371C2×C22⋊C4—82no—
372C2×C22⋊C4—82no—
373C2×C22⋊C4C2×D412yes—
374C2×C22⋊C4C2×D412yes—
375C2×C22⋊C4C2×D412yes—
376C2×C22⋊C4C2×D412yes—
377C2×C42—24no—
378C2×C42—24no—
379C2×C42—44no—
380C2×C42C2×D412yes—
381C2×C42C2412yes—
382#106—44no—
383#106—44no—
384#106—44no—
385#103—28no—
386#103—44no—
387#103—44no—
388#102—44no—
389#102—44no—
390#102—44no—
391C22⋊C8—24no—
392C22⋊C8—24no—
393C22⋊C8—44no—
394C22⋊C8—42no—
395C22⋊C8—42no—
396C22⋊C8—42no—
397C22⋊C8—42no—
398#95—22no—
399#95—24no—
400#95—22no—
401#95—22no—
402#95—22no—
403#95—22no—
404#95—22no—
405#95—22no—
406#95—22no—
407C24—22no—
408C24—22no—
409C24—22no—
410C24—22no—
411C24—22no—
412C24—41no—
413C24—41no—
414C24—41no—
415C24—41no—
416C24—41no—
417C24—41no—
418C24—41no—
419C24—41no—
420C24—42no—
421C24—42no—
422C24—42no—
423C24—81no—
424C24—81no—
425C24—81no—
426C24—81no—
427C24C2×SD1614yes—
428C24C2×SD1614yes—
429C24C22×D411yescharacteristic
430C24C22×D412yes—
431C24C22×D411yescharacteristic
432C24C22×D411yescharacteristic
433C2×Q8—24no—
434C2×Q8—22no—
435C2×Q8—24no—
436C2×Q8—24no—
437C2×Q8—416no—
438C2×Q8—42no—
439C2×Q8—42no—
440C2×Q8H(5,𝔽2)14yes—
441C2×D4—22no—
442C2×D4—24no—
443C2×D4—22no—
444C2×D4—24no—
445C2×D4—42no—
446C2×D4—42no—
447C2×D4—416no—
448C2×D4—42no—
449C2×D4—42no—
450C2×D4—42no—
451C2×D4—44no—
452C2×D4—44no—
453C2×D4—44no—
454C2×D4—44no—
455C2×D4—44no—
456C2×D4—44no—
457C2×D4—44no—
458C2×D4—44no—
459C2×D4—81no—
460C2×D4—81no—
461C2×D4—88no—
462C2×D4—82no—
463C2×D4—82no—
464C2×D4—82no—
465C2×D4—82no—
466C2×D4—816no—
467C2×D4C2×SD1618yes—
468C2×D4C2×SD1618yes—
469C22×C4—22no—
470C22×C4—22no—
471C22×C4—22no—
472C22×C4—22no—
473C22×C4—24no—
474C22×C4—22no—
475C22×C4—22no—
476C22×C4—22no—
477C22×C4—22no—
478C22×C4—22no—
479C22×C4—22no—
480C22×C4—22no—
481C22×C4—22no—
482C22×C4—22no—
483C22×C4—22no—
484C22×C4—24no—
485C22×C4—22no—
486C22×C4—22no—
487C22×C4—24no—
488C22×C4—22no—
489C22×C4—22no—
490C22×C4—24no—
491C22×C4—22no—
492C22×C4—22no—
493C22×C4—22no—
494C22×C4—22no—
495C22×C4—22no—
496C22×C4—22no—
497C22×C4—41no—
498C22×C4—41no—
499C22×C4—41no—
500C22×C4—41no—
501C22×C4—42no—
502C22×C4—41no—
503C22×C4—41no—
504C22×C4—42no—
505C22×C4—41no—
506C22×C4—41no—
507C22×C4—41no—
508C22×C4—41no—
509C22×C4—42no—
510C22×C4—42no—
511C22×C4—42no—
512C22×C4—42no—
513C22×C4—42no—
514C22×C4—42no—
515C22×C4—42no—
516C22×C4—42no—
517C22×C4—42no—
518C22×C4—42no—
519C22×C4—42no—
520C22×C4—42no—
521C22×C4—42no—
522C22×C4—42no—
523C22×C4—42no—
524C22×C4—42no—
525C22×C4—88no—
526C22×C4—88no—
527C22×C4—81no—
528C22×C4—81no—
529C22×C4—81no—
530C22×C4—81no—
531C22×C4C2×SD1614yes—
532C22×C4C22×D412yes—
533C22×C4C22×D411yescharacteristic
534C22×C4C22×D412yes—
535C22×C4C22×D411yescharacteristic
536C22×C4C22×D411yescharacteristic
537C22×C4C22×D412yes—
538C22×C4H(5,𝔽2)14yes—
539C22×C4C2511yescharacteristic
540SD16—88no—
541C2×C8—24no—
542C2×C8—24no—
543C2×C8—24no—
544C2×C8—24no—
545C2×C8—24no—
546C2×C8—24no—
547C2×C8—88no—
548C4⋊C4—22no—
549C4⋊C4—24no—
550C4⋊C4—24no—
551C4⋊C4—24no—
552C4⋊C4—22no—
553C4⋊C4—22no—
554C4⋊C4—22no—
555C4⋊C4—24no—
556C4⋊C4—42no—
557C4⋊C4—42no—
558C4⋊C4—48no—
559C4⋊C4—44no—
560C4⋊C4—44no—
561C4⋊C4—48no—
562C4⋊C4—48no—
563C4⋊C4—42no—
564C4⋊C4—42no—
565C4⋊C4—42no—
566C4⋊C4—42no—
567C4⋊C4—44no—
568C4⋊C4—44no—
569C4⋊C4—81no—
570C4⋊C4—81no—
571C4⋊C4—84no—
572C22⋊C4—42no—
573C22⋊C4—42no—
574C22⋊C4—42no—
575C22⋊C4—42no—
576C22⋊C4—44no—
577C22⋊C4—48no—
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—82no—
588C22⋊C4—82no—
589C22⋊C4—82no—
590C22⋊C4—82no—
591C22⋊C4—82no—
592C22⋊C4—84no—
593C22⋊C4—82no—
594C42—24no—
595C42—22no—
596C42—22no—
597C42—48no—
598C23—21no—
599C23—21no—
600C23—21no—
601C23—21no—
602C23—21no—
603C23—22no—
604C23—21no—
605C23—21no—
606C23—22no—
607C23—21no—
608C23—21no—
609C23—21no—
610C23—22no—
611C23—21no—
612C23—22no—
613C23—21no—
614C23—21no—
615C23—22no—
616C23—21no—
617C23—21no—
618C23—21no—
619C23—22no—
620C23—28no—
621C23—28no—
622C23—44no—
623C23—44no—
624C23—44no—
625C23—44no—
626C23—42no—
627C23—42no—
628C23—42no—
629C23—42no—
630C23—42no—
631C23—42no—
632C23—42no—
633C23—82no—
634C23—82no—
635C23—82no—
636C23—82no—
637C23—82no—
638C23—82no—
639C23—82no—
640C23—82no—
641C23—84no—
642C23—84no—
643C23—84no—
644C23—162no—
645C23—162no—
646C23—162no—
647C23—162no—
648C23#53412yes—
649C23C22×SD1612yes—
650C23C22×SD1614yes—
651C23C22×SD1612yes—
652C23C22×SD1612yes—
653C23#57512yes—
654C23C23×D411yescharacteristic
655Q8—28no—
656Q8—48no—
657Q8—44no—
658D4—48no—
659D4—48no—
660D4—44no—
661D4—44no—
662D4—84no—
663D4—88no—
664D4—88no—
665D4—164no—
666D4—164no—
667C2×C4—28no—
668C2×C4—22no—
669C2×C4—21no—
670C2×C4—21no—
671C2×C4—22no—
672C2×C4—28no—
673C2×C4—22no—
674C2×C4—22no—
675C2×C4—22no—
676C2×C4—21no—
677C2×C4—21no—
678C2×C4—22no—
679C2×C4—24no—
680C2×C4—22no—
681C2×C4—21no—
682C2×C4—21no—
683C2×C4—22no—
684C2×C4—21no—
685C2×C4—21no—
686C2×C4—44no—
687C2×C4—48no—
688C2×C4—42no—
689C2×C4—42no—
690C2×C4—44no—
691C2×C4—44no—
692C2×C4—44no—
693C2×C4—44no—
694C2×C4—42no—
695C2×C4—42no—
696C2×C4—42no—
697C2×C4—42no—
698C2×C4—42no—
699C2×C4—42no—
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—84no—
713C2×C4—82no—
714C2×C4—82no—
715C2×C4—82no—
716C2×C4—82no—
717C2×C4—84no—
718C2×C4—84no—
719C2×C4—84no—
720C2×C4—84no—
721C2×C4—162no—
722C2×C4—162no—
723C2×C4#53412yes—
724C2×C4C22×SD1614yes—
725C2×C4C2×H(5,𝔽2)12yes—
726C2×C4C2×H(5,𝔽2)12yes—
727C2×C4#58512yes—
728C8—44no—
729C8—44no—
730C22—22no—
731C22—22no—
732C22—22no—
733C22—22no—
734C22—22no—
735C22—22no—
736C22—22no—
737C22—24no—
738C22—22no—
739C22—22no—
740C22—22no—
741C22—24no—
742C22—22no—
743C22—24no—
744C22—22no—
745C22—41no—
746C22—42no—
747C22—41no—
748C22—41no—
749C22—42no—
750C22—41no—
751C22—41no—
752C22—42no—
753C22—41no—
754C22—42no—
755C22—41no—
756C22—41no—
757C22—88no—
758C22—88no—
759C22—82no—
760C22—82no—
761C22—82no—
762C22—82no—
763C22—82no—
764C22—82no—
765C22—82no—
766C22—168no—
767C22#318714yes—
768C22C2×#53411yescharacteristic
769C22#348411yescharacteristic
770C22#348511yescharacteristic
771C22C23×SD1611yescharacteristic
772C22C2×#57511yescharacteristic
773C22#358511yescharacteristic
774C22#358611yescharacteristic
775C4—24no—
776C4—22no—
777C4—42no—
778C4—41no—
779C4—42no—
780C4—41no—
781C4—44no—
782C4—82no—
783C4—82no—
784C4—82no—
785C4—82no—
786C4—82no—
787C4—82no—
788C4#353414yes—
789C2—24no—
790C2—42no—
791C2—44no—
792C2—42no—
793C2—162no—
794C2#3711711yescharacteristic
795C2C2×#318711yescharacteristic
796C2#6075511yescharacteristic
797C2#6156211yescharacteristic
798C2#6157711yescharacteristic
799C2#6169711yescharacteristic
800C2#6171211yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
prime radical#35000C2
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ C22×C4×D4 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
2. C2×#2538C2semidirect
3. #33005C2semidirect
4. #31998C2semidirect
5. #31386C2semidirect
6. #30561C2semidirect
7. #30404C2semidirect
8. #29907C2semidirect
9. #27601C2semidirect
10. #24553C2semidirect
11. #24381C2semidirect
12. #24005C2semidirect
13. #24003C2semidirect
14. #23919C2semidirect
15. #21738C2semidirect
18. C22×C22⋊Q8C22semidirect
20. C22×C4×Q8C22semidirect
23. C2×#483C22semidirect
24. C2×#465C22semidirect
26. C2×#450C22semidirect
27. C22×C22⋊C8C22semidirect
36. #2538C22semidirect
47. C2×#384C22semidirect
50. C2×#380C22semidirect
51. #2100C22semidirect
52. #2094C22semidirect
53. #2084C22semidirect
54. #2077C22semidirect
55. #2077C22semidirect
56. #2071C22semidirect
57. #2035C22semidirect
58. #2035C22semidirect
59. #2034C22semidirect
60. #2034C22semidirect
61. #2000C22semidirect
62. #2000C22semidirect
63. #1893C22semidirect
64. #1892C22semidirect
65. #1880C22semidirect
66. #1880C22semidirect
69. #1872C22semidirect
70. #1872C22semidirect
72. #1869C22semidirect
73. #1865C22semidirect
74. #1865C22semidirect
75. #1853C22semidirect
76. #1853C22semidirect
77. #1853C22semidirect
78. #1853C22semidirect
79. #1824C22semidirect
80. #1823C22semidirect
81. #1817C22semidirect
82. #1807C22semidirect
83. #1787C22semidirect
84. #1786C22semidirect
245. C22×D4SD16semidirect

Maximal subgroups

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

subgroupindex
#350002
C2×#25382
#330052
#319982
#313862
#305612
#304042
#299072
#276012
#245532
#243812
#240052
#240032
#239192
#217382