Finite Group Databasebeta

← #6794843

Subgroups — #6794843

Order 512.

2239 conjugacy classes of subgroups.

The subgroup lattice has 788 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#36161C211yesmaximal, characteristic, complemented
2C2×#2537C211yesmaximal, characteristic
3#32953C211yesmaximal, characteristic, complemented
4#32005C214yesmaximal, complemented
5#30568C214yesmaximal, complemented
6#29894C212yesmaximal, complemented
7#28223C212yesmaximal, complemented
8#27948C211yesmaximal, characteristic, complemented
9#27681C211yesmaximal, characteristic, complemented
10#25338C212yesmaximal, complemented
11#25013C212yesmaximal, complemented
12#24379C212yesmaximal, complemented
13#24119C212yesmaximal, complemented
14#24009C212yesmaximal, complemented
15D4×C22⋊C8C211yesmaximal, characteristic, complemented
16#21941C212yesmaximal, complemented
17C4×#450C211yesmaximal, characteristic, complemented
18C2×#556C2211yescharacteristic, complemented
19C22×#121—21no—
20C22×#121C2212yes—
21C22×C4×D4C2211yescharacteristic
22C22×C4×D4C2211yescharacteristic
23C2×#482C2214yescomplemented
24C2×#474C2212yescomplemented
25C2×#465C2214yescomplemented
26C2×#450C2211yescharacteristic
27C2×C4×SD16C2212yescomplemented
28C2×C8×D4C2212yescomplemented
29C22×C22⋊C8C2212yes—
30#2857C2211yescharacteristic
31#2848C2212yes—
32#2547C2211yescharacteristic, complemented
33#2538C2211yescharacteristic, complemented
34#2537—21no—
35#2537—21no—
36#2537—22no—
37#2537C2214yes—
38#2537C2212yes—
39#2537C2212yes—
40#2485C2212yescomplemented
41#2480—22no—
42#2466—22no—
43#2447—21no—
44#2435—21no—
45#2415C2212yescomplemented
46C2×#394—22no—
47#2367—21no—
48#2360—21no—
49#2354C2211yescharacteristic, complemented
50C4×C22⋊Q8C2211yescharacteristic
51C2×#384C2211yescharacteristic
52#2280C2212yes—
53C2×#380—21no—
54C2×#380C2212yes—
55#2100C2212yescomplemented
56#2095C2212yescomplemented
57#2084C2214yescomplemented
58#2077C2214yescomplemented
59#2075C2214yescomplemented
60#2036C2214yescomplemented
61#2035C2214yescomplemented
62#2034C2214yescomplemented
63#2034C2214yescomplemented
64#2033C2214yescomplemented
65#2000C2214yescomplemented
66#1990C2212yescomplemented
67#1954C2212yescomplemented
68#1947C2212yescomplemented
69#1893C2214yescomplemented
70#1877C2212yescomplemented
71#1875C2214yescomplemented
72#1872C2212yes—
73#1872C2211yescharacteristic
74#1869C2214yescomplemented
75#1864C2212yescomplemented
76#1862C2214yescomplemented
77#1854C2214yescomplemented
78#1854C2214yescomplemented
79#1853C2212yes—
80#1853C2212yes—
81#1853C2211yescharacteristic
82#1852C2212yes—
83#1852C2212yes—
84#1844C2212yescomplemented
85#1808C2214yescomplemented
86#1807C2214yescomplemented
87#1803C2212yescomplemented
88#1802C2212yescomplemented
89#1797C2211yescharacteristic
90#1786C2212yes—
91#1786C2211yescharacteristic
92#1779C2212yes—
93C4×#102C2212yescomplemented
94C4×C22⋊C8C2211yescharacteristic
95C23×D4—22no—
96C23×D4D411yescharacteristic
97C23×D4C2311yescharacteristic
98C24×C4—21no—
99C24×C4C2312yes—
100C22×SD16C2312yes—
101C23×C8C2314yes—
102#556—44no—
103C2×C4⋊Q8C2311yescharacteristic
104C2×#126—22no—
105C2×#124—21no—
106C2×#124—21no—
107C2×C22⋊Q8—21no—
108C2×C22⋊Q8C2311yescharacteristic
109C2×C22⋊Q8C2312yes—
110C2×C22⋊Q8C2312yes—
111C2×#121—22no—
112C2×#121—24no—
113C2×#121—22no—
114C2×#121—22no—
115C2×#121—22no—
116C2×#121—48no—
117C2×#121—48no—
118C2×#121C2314yes—
119C2×#121C2314yes—
120C2×C4×Q8—21no—
121C2×C4×Q8C2311yescharacteristic
122C2×C4×D4—21no—
123C2×C4×D4—21no—
124C2×C4×D4—44no—
125C2×C4×D4—44no—
126C2×C4×D4D411yescharacteristic
127C2×C4×D4D411yescharacteristic
128C2×C4×D4D412yes—
129C2×C4×D4C2312yes—
130C2×C4×D4C2312yes—
131C2×C4×D4C2311yescharacteristic
132C2×C4×D4C2311yescharacteristic
133C2×C4×D4C2312yes—
134C2×#117C2312yes—
135C2×#117C2312yes—
136C22×C4⋊C4—21no—
137C22×C4⋊C4—21no—
138C22×C4⋊C4D411yescharacteristic
139C22×C4⋊C4C2311yescharacteristic
140C22×C4⋊C4C2312yes—
141C22×C22⋊C4—22no—
142C22×C22⋊C4—21no—
143C22×C22⋊C4—22no—
144C22×C22⋊C4D412yes—
145C22×C42C2311yescharacteristic
146#482—48no—
147#474—44no—
148#465—48no—
149#450—24no—
150C4×SD16—44no—
151C8×D4—44no—
152C2×#107C2314yes—
153C2×#107C2314yes—
154C2×#106C2312yes—
155C2×#106C2314yes—
156C2×#106C2314yes—
157C2×C4⋊C8C2312yes—
158C2×#103C2314yes—
159C2×#103C2312yes—
160C2×#102C2314yes—
161C2×#102C2312yes—
162C2×#102C2312yes—
163C2×#102C2314yes—
164C2×#102C2312yes—
165C2×C22⋊C8—28no—
166C2×C22⋊C8C2312yes—
167C2×C22⋊C8C2314yes—
168C2×C22⋊C8C2311yescharacteristic
169C2×C22⋊C8C2314yes—
170C2×C22⋊C8C2314yes—
171C2×C22⋊C8C2311yescharacteristic
172C2×C4×C8C2312yes—
173#397—22no—
174#397—22no—
175#397—22no—
176#396—22no—
177#394—22no—
178#394—22no—
179#394—24no—
180#394—24no—
181#394—24no—
182#394—24no—
183#391—21no—
184#391—21no—
185#391C2311yescharacteristic
186#390—21no—
187#390—21no—
188#389—22no—
189#389—21no—
190#389—21no—
191#389C2312yes—
192#389C2311yescharacteristic
193#388—22no—
194#388—22no—
195#388—22no—
196#387—22no—
197#387—21no—
198#385—22no—
199#385—22no—
200#385—22no—
201#385—21no—
202#384—21no—
203#384—21no—
204#384C2311yescharacteristic
205#384C2312yes—
206#384C2312yes—
207#381—22no—
208#380—21no—
209#380—22no—
210#380—22no—
211#380—22no—
212#380—22no—
213#380—24no—
214#380C2312yes—
215#380C2314yes—
216#380C2312yes—
217#380C2312yes—
218#380C2312yes—
219#380C2314yes—
220#380C2312yes—
221#380C2311yescharacteristic
222#379—22no—
223#379—22no—
224C4×C4⋊C4—21no—
225C4×C4⋊C4—21no—
226C4×C4⋊C4C2311yescharacteristic
227C4×C22⋊C4—21no—
228C4×C22⋊C4—22no—
229C4×C22⋊C4—22no—
230C2×#95—22no—
231#340C2314yes—
232#340C2314yes—
233#340C2312yes—
234#340C2314yes—
235#340C2312yes—
236#340C2314yes—
237#340C2314yes—
238#336C2312yes—
239#336C2312yes—
240C25—21no—
241C25C2×D412yes—
242C22×Q8—21no—
243C22×Q8C2411yescharacteristic
244C22×D4—24no—
245C22×D4—24no—
246C22×D4—24no—
247C22×D4—24no—
248C22×D4—24no—
249C22×D4—21no—
250C22×D4—22no—
251C22×D4—22no—
252C22×D4—42no—
253C22×D4—42no—
254C22×D4—48no—
255C22×D4—48no—
256C22×D4—84no—
257C22×D4C2×D411yescharacteristic
258C22×D4C2×D412yes—
259C22×D4C2×D411yescharacteristic
260C22×D4C2412yes—
261C23×C4—24no—
262C23×C4—24no—
263C23×C4—21no—
264C23×C4—22no—
265C23×C4—22no—
266C23×C4—22no—
267C23×C4—44no—
268C23×C4—44no—
269C23×C4—44no—
270C23×C4—44no—
271C23×C4—44no—
272C23×C4C2×D411yescharacteristic
273C23×C4C2×D411yescharacteristic
274C23×C4C2×D412yes—
275C23×C4C2×D412yes—
276C23×C4C2×D412yes—
277C23×C4C2412yes—
278C23×C4C2412yes—
279C23×C4C2411yescharacteristic
280C2×SD16—24no—
281C2×SD16—24no—
282C2×SD16—42no—
283C22×C8—28no—
284C22×C8—44no—
285C22×C8—44no—
286C22×C8C2414yes—
287C22×C8C2412yes—
288C22×C8C2412yes—
289C4⋊Q8—24no—
290#126—48no—
291#124—44no—
292#124—44no—
293C22⋊Q8—22no—
294C22⋊Q8—22no—
295C22⋊Q8—44no—
296C22⋊Q8—44no—
297C22⋊Q8—44no—
298#121—28no—
299#121—28no—
300#121—44no—
301#121—44no—
302#121—48no—
303#121—48no—
304#121—48no—
305#121—416no—
306#121—48no—
307C4×Q8—24no—
308C4×Q8—44no—
309C4×D4—24no—
310C4×D4—24no—
311C4×D4—24no—
312C4×D4—24no—
313C4×D4—44no—
314C4×D4—42no—
315C4×D4—42no—
316C4×D4—42no—
317C4×D4—42no—
318C4×D4—44no—
319C4×D4—44no—
320C4×D4—44no—
321#117—44no—
322#117—44no—
323C2×C4⋊C4—22no—
324C2×C4⋊C4—22no—
325C2×C4⋊C4—21no—
326C2×C4⋊C4—22no—
327C2×C4⋊C4—22no—
328C2×C4⋊C4—21no—
329C2×C4⋊C4—21no—
330C2×C4⋊C4—22no—
331C2×C4⋊C4—21no—
332C2×C4⋊C4—21no—
333C2×C4⋊C4—22no—
334C2×C4⋊C4—22no—
335C2×C4⋊C4—22no—
336C2×C4⋊C4—21no—
337C2×C4⋊C4—21no—
338C2×C4⋊C4—42no—
339C2×C4⋊C4—42no—
340C2×C4⋊C4—44no—
341C2×C4⋊C4—44no—
342C2×C4⋊C4—82no—
343C2×C4⋊C4C2×D411yescharacteristic
344C2×C4⋊C4C2×D411yescharacteristic
345C2×C4⋊C4C2×D412yes—
346C2×C4⋊C4C2412yes—
347C2×C4⋊C4C2414yes—
348C2×C4⋊C4C2411yescharacteristic
349C2×C4⋊C4C2411yescharacteristic
350C2×C4⋊C4C2412yes—
351C2×C4⋊C4C2412yes—
352C2×C4⋊C4C2411yescharacteristic
353C2×C22⋊C4—24no—
354C2×C22⋊C4—24no—
355C2×C22⋊C4—22no—
356C2×C22⋊C4—22no—
357C2×C22⋊C4—22no—
358C2×C22⋊C4—21no—
359C2×C22⋊C4—22no—
360C2×C22⋊C4—22no—
361C2×C22⋊C4—21no—
362C2×C22⋊C4—22no—
363C2×C22⋊C4—22no—
364C2×C22⋊C4—24no—
365C2×C22⋊C4—24no—
366C2×C22⋊C4—22no—
367C2×C22⋊C4—22no—
368C2×C22⋊C4—22no—
369C2×C22⋊C4—22no—
370C2×C22⋊C4—44no—
371C2×C22⋊C4—44no—
372C2×C22⋊C4—48no—
373C2×C22⋊C4—48no—
374C2×C22⋊C4C2×D412yes—
375C2×C22⋊C4C2×D412yes—
376C2×C22⋊C4C2×D412yes—
377C2×C22⋊C4C2×D412yes—
378C2×C42—24no—
379C2×C42—22no—
380C2×C42—21no—
381C2×C42—21no—
382C2×C42—22no—
383C2×C42C2×D411yescharacteristic
384C2×C42C2×D411yescharacteristic
385C2×C42C2411yescharacteristic
386C2×C42C2411yescharacteristic
387#107—44no—
388#107—44no—
389#106—42no—
390#106—44no—
391#106—44no—
392C4⋊C8—24no—
393#103—42no—
394#103—44no—
395#102—28no—
396#102—24no—
397#102—24no—
398#102—42no—
399#102—44no—
400C22⋊C8—24no—
401C22⋊C8—22no—
402C22⋊C8—28no—
403C22⋊C8—44no—
404C22⋊C8—44no—
405C22⋊C8#4114yes—
406C4×C8—24no—
407#95—24no—
408#95—24no—
409#95—21no—
410#95—22no—
411#95—22no—
412#95—22no—
413#95—21no—
414#95—21no—
415#95—22no—
416#95—21no—
417#95—21no—
418#95—22no—
419#95—22no—
420C24—24no—
421C24—24no—
422C24—22no—
423C24—24no—
424C24—24no—
425C24—24no—
426C24—42no—
427C24—42no—
428C24—42no—
429C24—42no—
430C24—42no—
431C24—42no—
432C24—42no—
433C24—42no—
434C24—42no—
435C24C22×D412yes—
436C24C22×D412yes—
437C24C22×D411yescharacteristic
438C2×Q8—21no—
439C2×Q8—22no—
440C2×Q8—22no—
441C2×Q8—21no—
442C2×Q8—42no—
443C2×Q8—42no—
444C2×Q8—42no—
445C2×D4—24no—
446C2×D4—24no—
447C2×D4—22no—
448C2×D4—22no—
449C2×D4—22no—
450C2×D4—24no—
451C2×D4—22no—
452C2×D4—22no—
453C2×D4—22no—
454C2×D4—22no—
455C2×D4—22no—
456C2×D4—22no—
457C2×D4—22no—
458C2×D4—416no—
459C2×D4—48no—
460C2×D4—48no—
461C2×D4—42no—
462C2×D4—42no—
463C2×D4—48no—
464C2×D4—48no—
465C2×D4—48no—
466C2×D4—48no—
467C2×D4—42no—
468C2×D4—84no—
469C2×D4—84no—
470C2×D4—832no—
471C2×D4AGL(1,ℤ/8)14yes—
472C2×D4H(5,𝔽2)14yes—
473C22×C4—22no—
474C22×C4—22no—
475C22×C4—22no—
476C22×C4—22no—
477C22×C4—22no—
478C22×C4—24no—
479C22×C4—22no—
480C22×C4—22no—
481C22×C4—22no—
482C22×C4—24no—
483C22×C4—24no—
484C22×C4—24no—
485C22×C4—24no—
486C22×C4—22no—
487C22×C4—22no—
488C22×C4—24no—
489C22×C4—24no—
490C22×C4—21no—
491C22×C4—21no—
492C22×C4—21no—
493C22×C4—22no—
494C22×C4—22no—
495C22×C4—22no—
496C22×C4—21no—
497C22×C4—24no—
498C22×C4—41no—
499C22×C4—42no—
500C22×C4—42no—
501C22×C4—42no—
502C22×C4—42no—
503C22×C4—42no—
504C22×C4—42no—
505C22×C4—44no—
506C22×C4—44no—
507C22×C4—42no—
508C22×C4—42no—
509C22×C4—44no—
510C22×C4—44no—
511C22×C4—42no—
512C22×C4—44no—
513C22×C4—44no—
514C22×C4—44no—
515C22×C4—44no—
516C22×C4—44no—
517C22×C4—88no—
518C22×C4—88no—
519C22×C4—816no—
520C22×C4#13514yes—
521C22×C4C22×D412yes—
522C22×C4C22×D412yes—
523C22×C4C22×D411yescharacteristic
524C22×C4C22×D411yescharacteristic
525C22×C4C22×D411yescharacteristic
526C22×C4C22×D411yescharacteristic
527C22×C4C22×D411yescharacteristic
528C22×C4C2×#4112yes—
529C22×C42−1+412yes—
530C22×C4C2511yescharacteristic
531SD16—48no—
532C2×C8—22no—
533C2×C8—22no—
534C2×C8—24no—
535C2×C8—22no—
536C2×C8—22no—
537C2×C8—24no—
538C2×C8—24no—
539C2×C8—22no—
540C2×C8—88no—
541C2×C8C2×#4114yes—
542C4⋊C4—22no—
543C4⋊C4—22no—
544C4⋊C4—21no—
545C4⋊C4—24no—
546C4⋊C4—22no—
547C4⋊C4—22no—
548C4⋊C4—24no—
549C4⋊C4—22no—
550C4⋊C4—24no—
551C4⋊C4—24no—
552C4⋊C4—22no—
553C4⋊C4—21no—
554C4⋊C4—42no—
555C4⋊C4—42no—
556C4⋊C4—44no—
557C4⋊C4—44no—
558C4⋊C4—44no—
559C4⋊C4—42no—
560C4⋊C4—42no—
561C4⋊C4—42no—
562C4⋊C4—42no—
563C4⋊C4—44no—
564C4⋊C4—44no—
565C4⋊C4—81no—
566C4⋊C4—81no—
567C4⋊C4—82no—
568C4⋊C4—82no—
569C4⋊C4—82no—
570C22⋊C4—24no—
571C22⋊C4—24no—
572C22⋊C4—42no—
573C22⋊C4—42no—
574C22⋊C4—48no—
575C22⋊C4—48no—
576C22⋊C4—44no—
577C22⋊C4—48no—
578C22⋊C4—44no—
579C22⋊C4—44no—
580C22⋊C4—42no—
581C22⋊C4—44no—
582C22⋊C4—48no—
583C22⋊C4—44no—
584C22⋊C4—44no—
585C22⋊C4—42no—
586C22⋊C4—44no—
587C22⋊C4—82no—
588C22⋊C4—82no—
589C22⋊C4—82no—
590C22⋊C4—82no—
591C42—22no—
592C42—22no—
593C42—22no—
594C42—44no—
595C42—42no—
596C42—42no—
597C42—82no—
598C42H(5,𝔽2)14yes—
599C23—21no—
600C23—21no—
601C23—21no—
602C23—21no—
603C23—22no—
604C23—22no—
605C23—22no—
606C23—22no—
607C23—22no—
608C23—22no—
609C23—22no—
610C23—22no—
611C23—22no—
612C23—24no—
613C23—22no—
614C23—22no—
615C23—22no—
616C23—22no—
617C23—48no—
618C23—48no—
619C23—48no—
620C23—48no—
621C23—48no—
622C23—48no—
623C23—42no—
624C23—48no—
625C23—42no—
626C23—42no—
627C23—42no—
628C23—42no—
629C23—42no—
630C23—84no—
631C23—84no—
632C23—84no—
633C23—84no—
634C23—84no—
635C23—84no—
636C23—84no—
637C23#54712yes—
638C23C2×#13512yes—
639C23C2×AGL(1,ℤ/8)14yes—
640C23#57712yes—
641C23C23×D411yescharacteristic
642Q8—42no—
643Q8—42no—
644Q8—84no—
645D4—28no—
646D4—24no—
647D4—24no—
648D4—48no—
649D4—48no—
650D4—44no—
651D4—42no—
652D4—42no—
653D4—816no—
654D4—816no—
655C2×C4—21no—
656C2×C4—21no—
657C2×C4—21no—
658C2×C4—21no—
659C2×C4—21no—
660C2×C4—21no—
661C2×C4—28no—
662C2×C4—24no—
663C2×C4—24no—
664C2×C4—21no—
665C2×C4—21no—
666C2×C4—22no—
667C2×C4—22no—
668C2×C4—22no—
669C2×C4—22no—
670C2×C4—22no—
671C2×C4—22no—
672C2×C4—21no—
673C2×C4—44no—
674C2×C4—44no—
675C2×C4—44no—
676C2×C4—44no—
677C2×C4—44no—
678C2×C4—41no—
679C2×C4—41no—
680C2×C4—42no—
681C2×C4—41no—
682C2×C4—42no—
683C2×C4—41no—
684C2×C4—42no—
685C2×C4—41no—
686C2×C4—41no—
687C2×C4—41no—
688C2×C4—42no—
689C2×C4—44no—
690C2×C4—41no—
691C2×C4—42no—
692C2×C4—42no—
693C2×C4—42no—
694C2×C4—41no—
695C2×C4—41no—
696C2×C4—42no—
697C2×C4—44no—
698C2×C4—42no—
699C2×C4—41no—
700C2×C4—41no—
701C2×C4—44no—
702C2×C4—84no—
703C2×C4—84no—
704C2×C4—88no—
705C2×C4—84no—
706C2×C4—84no—
707C2×C4—88no—
708C2×C4—88no—
709C2×C4#53412yes—
710C2×C4#53412yes—
711C2×C4#54712yes—
712C2×C4C2×#13512yes—
713C2×C4C2×#13512yes—
714C2×C4C2×AGL(1,ℤ/8)12yes—
715C2×C4C22×#4111yescharacteristic
716C2×C4C2×H(5,𝔽2)12yes—
717C2×C4C2×H(5,𝔽2)12yes—
718C2×C4C2×2−1+411yescharacteristic
719C8—24no—
720C8—44no—
721C8—42no—
722C22—22no—
723C22—22no—
724C22—22no—
725C22—22no—
726C22—22no—
727C22—22no—
728C22—24no—
729C22—24no—
730C22—24no—
731C22—42no—
732C22—42no—
733C22—42no—
734C22—42no—
735C22—42no—
736C22—44no—
737C22—42no—
738C22—42no—
739C22—42no—
740C22—42no—
741C22—42no—
742C22—44no—
743C22—42no—
744C22—44no—
745C22—816no—
746C22—816no—
747C22—82no—
748C22—82no—
749C22—82no—
750C22—82no—
751C22#334014yes—
752C22C2×#53411yescharacteristic
753C22C2×#54711yescharacteristic
754C22#348411yescharacteristic
755C22C22×#13511yescharacteristic
756C22C22×AGL(1,ℤ/8)11yescharacteristic
757C22C2×#57711yescharacteristic
758C22#358611yescharacteristic
759C4—22no—
760C4—22no—
761C4—22no—
762C4—42no—
763C4—42no—
764C4—41no—
765C4—81no—
766C4—82no—
767C4—82no—
768C4—81no—
769C4—81no—
770C4—82no—
771C4—81no—
772C4—84no—
773C4#318814yes—
774C4#351912yes—
775C4#353612yes—
776C2—24no—
777C2—44no—
778C2—82no—
779C2—84no—
780C2#3891611yescharacteristic
781C2C2×#318811yescharacteristic
782C2#6076311yescharacteristic
783C2C2×#334011yescharacteristic
784C2#6125211yescharacteristic
785C2#6156511yescharacteristic
786C2#6160011yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
prime radicalC2×#2537C2
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
1. #36161C2semidirect
3. #32953C2semidirect
4. #32005C2semidirect
5. #30568C2semidirect
6. #29894C2semidirect
7. #28223C2semidirect
8. #27948C2semidirect
9. #27681C2semidirect
10. #25338C2semidirect
11. #25013C2semidirect
12. #24379C2semidirect
13. #24119C2semidirect
14. #24009C2semidirect
15. D4×C22⋊C8C2semidirect
16. #21941C2semidirect
17. C4×#450C2semidirect
18. C2×#556C22semidirect
23. C2×#482C22semidirect
24. C2×#474C22semidirect
25. C2×#465C22semidirect
27. C2×C4×SD16C22semidirect
28. C2×C8×D4C22semidirect
32. #2547C22semidirect
33. #2538C22semidirect
40. #2485C22semidirect
45. #2415C22semidirect
49. #2354C22semidirect
55. #2100C22semidirect
56. #2095C22semidirect
57. #2084C22semidirect
58. #2077C22semidirect
59. #2075C22semidirect
60. #2036C22semidirect
61. #2035C22semidirect
62. #2034C22semidirect
63. #2034C22semidirect
64. #2033C22semidirect
65. #2000C22semidirect
66. #1990C22semidirect
67. #1954C22semidirect
68. #1947C22semidirect
69. #1893C22semidirect
70. #1877C22semidirect
71. #1875C22semidirect
74. #1869C22semidirect
75. #1864C22semidirect
76. #1862C22semidirect
77. #1854C22semidirect
78. #1854C22semidirect
84. #1844C22semidirect
85. #1808C22semidirect
86. #1807C22semidirect
87. #1803C22semidirect
88. #1802C22semidirect
93. C4×#102C22semidirect

Maximal subgroups

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

subgroupindex
#361612
C2×#25372
#329532
#320052
#305682
#298942
#282232
#279482
#276812
#253382
#250132
#243792
#241192
#240092
D4×C22⋊C82
#219412
C4×#4502