Finite Group Databasebeta

← #6605447

Subgroups — #6605447

Order 512.

2387 conjugacy classes of subgroups.

The subgroup lattice has 777 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#36100C211yesmaximal, characteristic
2C2×D4×C4⋊C4C211yesmaximal, characteristic, complemented
3#33108C211yesmaximal, characteristic, complemented
4#32983C212yesmaximal, complemented
5#27972C211yesmaximal, characteristic, complemented
6#27677C211yesmaximal, characteristic, complemented
7#26236C212yesmaximal, complemented
8#26220C214yesmaximal, complemented
9#24967C212yesmaximal, complemented
10#24883C214yesmaximal, complemented
11#24559C212yesmaximal, complemented
12#24004C212yesmaximal, complemented
13#22713C212yesmaximal, complemented
14#22431C212yesmaximal, complemented
15#22401C211yesmaximal, characteristic, complemented
16C4×#480C211yesmaximal, characteristic, complemented
17#20909C212yesmaximal, complemented
18C2×#547C2211yescharacteristic
19C2×#525C2212yes—
20C22×C4×D4—21no—
21C22×C4×D4C2211yescharacteristic
22C23×C4⋊C4C2212yes—
23C2×#484C2214yescomplemented
24C2×#483C2212yes—
25C2×#480C2211yescharacteristic
26C2×#436C2212yes—
27C2×#417C2214yescomplemented
28C2×#407C2212yes—
29#2857C2211yescharacteristic
30#2848C2212yes—
31#2542C2211yescharacteristic
32#2537C2211yescharacteristic
33#2455—22no—
34#2422—21no—
35#2418—22no—
36#2415C2212yes—
37#2408—21no—
38#2407C2212yes—
39#2361—21no—
40#2354C2211yescharacteristic
41D4×C4⋊C4—21no—
42D4×C4⋊C4—21no—
43D4×C4⋊C4—22no—
44D4×C4⋊C4—21no—
45D4×C4⋊C4C2214yes—
46D4×C4⋊C4C2212yes—
47D4×C4⋊C4C2212yes—
48C4×#121C2211yescharacteristic
49C2×#389—21no—
50C2×#385—22no—
51C2×#384C2211yescharacteristic
52C2×#380C2212yes—
53C2×C4×C4⋊C4C2211yescharacteristic
54#2099C2212yescomplemented
55#2093C2212yescomplemented
56#2077C2214yescomplemented
57#2072C2214yescomplemented
58#2036C2214yescomplemented
59#2036C2214yescomplemented
60#2034C2214yescomplemented
61#1981C2212yescomplemented
62#1956C2212yescomplemented
63#1954C2212yes—
64#1948C2212yescomplemented
65#1947C2212yescomplemented
66#1927C2214yescomplemented
67#1925C2212yescomplemented
68#1918C2212yescomplemented
69#1894C2214yescomplemented
70#1874C2212yes—
71#1874C2211yescharacteristic
72#1874C2214yescomplemented
73#1872C2212yes—
74#1872C2212yes—
75#1872C2212yes—
76#1872C2214yescomplemented
77#1872C2214yescomplemented
78#1870C2214yes—
79#1854C2214yescomplemented
80#1852C2212yes—
81#1852C2211yescharacteristic
82#1852C2214yescomplemented
83#1834C2212yescomplemented
84#1824C2214yescomplemented
85#1823C2211yescharacteristic
86#1809C2214yescomplemented
87#1802C2212yescomplemented
88#1797C2211yescharacteristic
89#1788C2214yescomplemented
90#1779C2212yes—
91C4×#107C2212yescomplemented
92C4×#102C2212yescomplemented
93C4×C22⋊C8C2211yescharacteristic
94#1736C2214yescomplemented
95C22×#41C2312yes—
96C23×D4D411yescharacteristic
97C24×C4—22no—
98C24×C4C2312yes—
99C22×M16C2314yes—
100#547—28no—
101C2×C4⋊Q8C2311yescharacteristic
102#525—28no—
103#525—44no—
104C2×#123—22no—
105C2×#123—22no—
106C2×C22⋊Q8C2312yes—
107C2×C22⋊Q8C2312yes—
108C2×C22⋊Q8C2312yes—
109C2×C22⋊Q8C2312yes—
110C2×#121—21no—
111C2×#121—21no—
112C2×#121C2312yes—
113C2×#121C2311yescharacteristic
114C2×#120—22no—
115C2×C4×D4—28no—
116C2×C4×D4—24no—
117C2×C4×D4—22no—
118C2×C4×D4—22no—
119C2×C4×D4—21no—
120C2×C4×D4—22no—
121C2×C4×D4—22no—
122C2×C4×D4—48no—
123C2×C4×D4D411yescharacteristic
124C2×C4×D4D411yescharacteristic
125C2×C4×D4D412yes—
126C2×C4×D4C2311yescharacteristic
127C2×C4×D4C2312yes—
128C2×C4×D4C2311yescharacteristic
129C2×C4×D4C2311yescharacteristic
130C2×#117C2312yes—
131C22×C4⋊C4—22no—
132C22×C4⋊C4—22no—
133C22×C4⋊C4—22no—
134C22×C4⋊C4—21no—
135C22×C4⋊C4—21no—
136C22×C4⋊C4—21no—
137C22×C4⋊C4—48no—
138C22×C4⋊C4D411yescharacteristic
139C22×C4⋊C4C2311yescharacteristic
140C22×C4⋊C4C2311yescharacteristic
141C22×C4⋊C4C2314yes—
142C22×C4⋊C4C2314yes—
143C22×C4⋊C4C2312yes—
144C22×C22⋊C4—22no—
145C22×C22⋊C4D412yes—
146C22×C42—21no—
147C22×C42C2311yescharacteristic
148#484—48no—
149#483—44no—
150#480—24no—
151#436—28no—
152C2×#107C2312yes—
153C2×#107C2312yes—
154C2×#107C2314yes—
155C2×#106C2314yes—
156C2×C4⋊C8C2312yes—
157#417—48no—
158C2×#103C2314yes—
159C2×#103C2314yes—
160C2×#103C2314yes—
161C2×#103C2314yes—
162C2×#102C2312yes—
163C2×#102C2312yes—
164C2×#102C2314yes—
165#407—44no—
166C2×C22⋊C8C2312yes—
167C2×C22⋊C8C2311yescharacteristic
168C2×C22⋊C8C2311yescharacteristic
169C2×C22⋊C8C2314yes—
170C2×C22⋊C8C2314yes—
171C2×C22⋊C8C2314yes—
172C2×C4×C8C2312yes—
173#399—22no—
174#397—22no—
175#394—22no—
176#394—22no—
177#394—22no—
178#392—22no—
179#391C2312yes—
180#390—21no—
181#390—21no—
182#390C2311yescharacteristic
183#389—22no—
184#389—24no—
185#389—22no—
186#389—22no—
187#389—21no—
188#389—21no—
189#389C2311yescharacteristic
190#388—22no—
191#388—22no—
192#388—21no—
193#386—21no—
194#386—22no—
195#385—22no—
196#385—22no—
197#385—22no—
198#385—22no—
199#385—24no—
200#385—24no—
201#385—24no—
202#385—24no—
203#384—21no—
204#384—21no—
205#384—21no—
206#384C2312yes—
207#384C2312yes—
208#384C2311yescharacteristic
209#380—21no—
210#380—21no—
211#380—22no—
212#380—22no—
213#380—21no—
214#380C2312yes—
215#380C2314yes—
216#380C2312yes—
217#380C2314yes—
218#380C2311yescharacteristic
219#379—22no—
220C4×C4⋊C4—21no—
221C4×C4⋊C4—21no—
222C4×C4⋊C4—21no—
223C4×C4⋊C4C2312yes—
224C4×C4⋊C4C2312yes—
225C4×C4⋊C4C2311yescharacteristic
226C4×C22⋊C4—21no—
227C2×#95—21no—
228C2×#95—22no—
229#340C2314yes—
230#340C2312yes—
231#340C2314yes—
232#340C2314yes—
233#340C2312yes—
234#340C2312yes—
235#340C2314yes—
236#340C2314yes—
237#340C2312yes—
238#336C2312yes—
239#336C2312yes—
240C25C2×D412yes—
241C2×#41—24no—
242C2×#41—28no—
243C2×#41—42no—
244C2×#41—44no—
245C22×Q8C2412yes—
246C22×D4—24no—
247C22×D4—24no—
248C22×D4—21no—
249C22×D4—22no—
250C22×D4—22no—
251C22×D4—24no—
252C22×D4C2×D412yes—
253C22×D4C2×D411yescharacteristic
254C22×D4C2×D411yescharacteristic
255C22×D4C2411yescharacteristic
256C23×C4—21no—
257C23×C4—28no—
258C23×C4—24no—
259C23×C4—24no—
260C23×C4—21no—
261C23×C4—22no—
262C23×C4—24no—
263C23×C4—24no—
264C23×C4—21no—
265C23×C4—22no—
266C23×C4—44no—
267C23×C4—48no—
268C23×C4—48no—
269C23×C4—84no—
270C23×C4C2×D411yescharacteristic
271C23×C4C2×D412yes—
272C23×C4C2×D412yes—
273C23×C4C2×D412yes—
274C23×C4C2×D411yescharacteristic
275C23×C4C2412yes—
276C23×C4C2412yes—
277C23×C4C2411yescharacteristic
278C2×M16—28no—
279C2×M16—44no—
280C2×M16—44no—
281C22×C8C2412yes—
282C22×C8C2414yes—
283C22×C8C2412yes—
284C4⋊Q8—24no—
285#123—48no—
286#123—48no—
287C22⋊Q8—24no—
288C22⋊Q8—28no—
289C22⋊Q8—24no—
290C22⋊Q8—24no—
291C22⋊Q8—42no—
292C22⋊Q8—44no—
293#121—22no—
294#121—24no—
295#121—42no—
296#121—44no—
297#121—44no—
298#121#4114yes—
299#120—48no—
300C4×D4—24no—
301C4×D4—28no—
302C4×D4—24no—
303C4×D4—28no—
304C4×D4—24no—
305C4×D4—24no—
306C4×D4—48no—
307C4×D4—48no—
308C4×D4—416no—
309C4×D4—48no—
310C4×D4—48no—
311C4×D4—44no—
312C4×D4#4118yes—
313#117—24no—
314#117—42no—
315C2×C4⋊C4—21no—
316C2×C4⋊C4—24no—
317C2×C4⋊C4—24no—
318C2×C4⋊C4—22no—
319C2×C4⋊C4—22no—
320C2×C4⋊C4—28no—
321C2×C4⋊C4—28no—
322C2×C4⋊C4—22no—
323C2×C4⋊C4—24no—
324C2×C4⋊C4—24no—
325C2×C4⋊C4—22no—
326C2×C4⋊C4—22no—
327C2×C4⋊C4—21no—
328C2×C4⋊C4—22no—
329C2×C4⋊C4—21no—
330C2×C4⋊C4—22no—
331C2×C4⋊C4—22no—
332C2×C4⋊C4—21no—
333C2×C4⋊C4—21no—
334C2×C4⋊C4—21no—
335C2×C4⋊C4—22no—
336C2×C4⋊C4—22no—
337C2×C4⋊C4—22no—
338C2×C4⋊C4—21no—
339C2×C4⋊C4—44no—
340C2×C4⋊C4—44no—
341C2×C4⋊C4—44no—
342C2×C4⋊C4—48no—
343C2×C4⋊C4—48no—
344C2×C4⋊C4—48no—
345C2×C4⋊C4—44no—
346C2×C4⋊C4—44no—
347C2×C4⋊C4—82no—
348C2×C4⋊C4C2×D411yescharacteristic
349C2×C4⋊C4C2×D412yes—
350C2×C4⋊C4C2×D411yescharacteristic
351C2×C4⋊C4C2414yes—
352C2×C4⋊C4C2412yes—
353C2×C4⋊C4C2412yes—
354C2×C4⋊C4C2411yescharacteristic
355C2×C4⋊C4C2411yescharacteristic
356C2×C4⋊C4C2411yescharacteristic
357C2×C4⋊C4C2412yes—
358C2×C22⋊C4—21no—
359C2×C22⋊C4—28no—
360C2×C22⋊C4—24no—
361C2×C22⋊C4—24no—
362C2×C22⋊C4—22no—
363C2×C22⋊C4—22no—
364C2×C22⋊C4—22no—
365C2×C22⋊C4—21no—
366C2×C22⋊C4—22no—
367C2×C22⋊C4—22no—
368C2×C22⋊C4—22no—
369C2×C22⋊C4—21no—
370C2×C22⋊C4—21no—
371C2×C22⋊C4—22no—
372C2×C22⋊C4—22no—
373C2×C22⋊C4—21no—
374C2×C22⋊C4—48no—
375C2×C22⋊C4C2×D412yes—
376C2×C22⋊C4C2×D412yes—
377C2×C22⋊C4C2×D412yes—
378C2×C22⋊C4C2×D412yes—
379C2×C42—24no—
380C2×C42—22no—
381C2×C42—22no—
382C2×C42—22no—
383C2×C42—21no—
384C2×C42—44no—
385C2×C42C2×D411yescharacteristic
386C2×C42C2×D411yescharacteristic
387C2×C42C2411yescharacteristic
388C2×C42C2411yescharacteristic
389#107—24no—
390#107—24no—
391#107—44no—
392#106—44no—
393C4⋊C8—24no—
394#103—28no—
395#103—44no—
396#103—44no—
397#103—44no—
398#102—24no—
399#102—24no—
400#102—44no—
401C22⋊C8—28no—
402C22⋊C8—22no—
403C22⋊C8—22no—
404C22⋊C8—24no—
405C22⋊C8—44no—
406C22⋊C8—44no—
407C4×C8—24no—
408#95—22no—
409#95—22no—
410#95—24no—
411#95—24no—
412#95—21no—
413#95—21no—
414#95—22no—
415#95—21no—
416#95—22no—
417#95—22no—
418#95—22no—
419C24—24no—
420C24—24no—
421C24—24no—
422C24—24no—
423C24—24no—
424C24—21no—
425C24—42no—
426C24—42no—
427C24C22×D412yes—
428C24C22×D412yes—
429C24C22×D411yescharacteristic
430#41—416no—
431#41—88no—
432C2×Q8—22no—
433C2×Q8—24no—
434C2×Q8—24no—
435C2×Q8—22no—
436C2×D4—232no—
437C2×D4—24no—
438C2×D4—24no—
439C2×D4—24no—
440C2×D4—22no—
441C2×D4—24no—
442C2×D4—22no—
443C2×D4—22no—
444C2×D4—22no—
445C2×D4—22no—
446C2×D4—22no—
447C2×D4—21no—
448C2×D4—42no—
449C2×D4—42no—
450C2×D4—44no—
451C2×D4—44no—
452C2×D4—44no—
453C2×D4—44no—
454C2×D4—82no—
455C2×D4—82no—
456C2×D4#12314yes—
457C2×D4#13714yes—
458C2×D4C2×#4112yes—
459C22×C4—22no—
460C22×C4—22no—
461C22×C4—22no—
462C22×C4—22no—
463C22×C4—22no—
464C22×C4—24no—
465C22×C4—22no—
466C22×C4—24no—
467C22×C4—24no—
468C22×C4—24no—
469C22×C4—22no—
470C22×C4—21no—
471C22×C4—22no—
472C22×C4—22no—
473C22×C4—24no—
474C22×C4—24no—
475C22×C4—24no—
476C22×C4—24no—
477C22×C4—24no—
478C22×C4—22no—
479C22×C4—22no—
480C22×C4—24no—
481C22×C4—22no—
482C22×C4—21no—
483C22×C4—22no—
484C22×C4—21no—
485C22×C4—22no—
486C22×C4—24no—
487C22×C4—42no—
488C22×C4—42no—
489C22×C4—42no—
490C22×C4—41no—
491C22×C4—416no—
492C22×C4—416no—
493C22×C4—48no—
494C22×C4—48no—
495C22×C4—44no—
496C22×C4—42no—
497C22×C4—42no—
498C22×C4—44no—
499C22×C4—44no—
500C22×C4—48no—
501C22×C4—48no—
502C22×C4—42no—
503C22×C4—42no—
504C22×C4—44no—
505C22×C4—42no—
506C22×C4—42no—
507C22×C4—44no—
508C22×C4—42no—
509C22×C4—42no—
510C22×C4—82no—
511C22×C4—84no—
512C22×C4—84no—
513C22×C4—832no—
514C22×C4AGL(1,ℤ/8)14yes—
515C22×C4C22×D411yescharacteristic
516C22×C4C22×D412yes—
517C22×C4C22×D412yes—
518C22×C4C22×D411yescharacteristic
519C22×C4C22×D411yescharacteristic
520C22×C4C22×D411yescharacteristic
521C22×C4C22×D411yescharacteristic
522C22×C4C2×#4118yes—
523C22×C4C2×#4112yes—
524C22×C4H(5,𝔽2)12yes—
525C22×C4C2511yescharacteristic
526M16—88no—
527C2×C8—22no—
528C2×C8—22no—
529C2×C8—22no—
530C2×C8—24no—
531C2×C8—22no—
532C2×C8—24no—
533C2×C8—22no—
534C2×C8—24no—
535C2×C8—22no—
536C4⋊C4—24no—
537C4⋊C4—24no—
538C4⋊C4—22no—
539C4⋊C4—22no—
540C4⋊C4—21no—
541C4⋊C4—22no—
542C4⋊C4—22no—
543C4⋊C4—22no—
544C4⋊C4—24no—
545C4⋊C4—22no—
546C4⋊C4—24no—
547C4⋊C4—22no—
548C4⋊C4—22no—
549C4⋊C4—48no—
550C4⋊C4—48no—
551C4⋊C4—44no—
552C4⋊C4—44no—
553C4⋊C4—42no—
554C4⋊C4—44no—
555C4⋊C4—42no—
556C4⋊C4—42no—
557C4⋊C4—44no—
558C4⋊C4—44no—
559C4⋊C4—44no—
560C4⋊C4—42no—
561C4⋊C4—42no—
562C4⋊C4—81no—
563C4⋊C4—82no—
564C4⋊C4—82no—
565C4⋊C4—82no—
566C4⋊C4#12314yes—
567C4⋊C4C2×#4112yes—
568C4⋊C4H(5,𝔽2)14yes—
569C22⋊C4—24no—
570C22⋊C4—24no—
571C22⋊C4—24no—
572C22⋊C4—24no—
573C22⋊C4—44no—
574C22⋊C4—44no—
575C22⋊C4—44no—
576C22⋊C4—48no—
577C22⋊C4—48no—
578C22⋊C4—44no—
579C22⋊C4—44no—
580C22⋊C4—42no—
581C22⋊C4—44no—
582C22⋊C4—42no—
583C22⋊C4—42no—
584C22⋊C4—81no—
585C22⋊C4—82no—
586C22⋊C4—82no—
587C22⋊C4#12318yes—
588C42—22no—
589C42—22no—
590C42—22no—
591C42—44no—
592C42—44no—
593C42—44no—
594C42—42no—
595C42C2×#4114yes—
596C23—21no—
597C23—21no—
598C23—21no—
599C23—21no—
600C23—216no—
601C23—22no—
602C23—22no—
603C23—22no—
604C23—22no—
605C23—22no—
606C23—22no—
607C23—22no—
608C23—22no—
609C23—22no—
610C23—22no—
611C23—22no—
612C23—22no—
613C23—22no—
614C23—48no—
615C23—48no—
616C23—48no—
617C23—48no—
618C23—48no—
619C23—48no—
620C23—41no—
621C23—41no—
622C23—41no—
623C23—41no—
624C23—41no—
625C23—41no—
626C23C2×#12314yes—
627C23#54612yes—
628C23C2×AGL(1,ℤ/8)12yes—
629C23C2×#13714yes—
630C23#57812yes—
631C23C23×D411yescharacteristic
632Q8—44no—
633Q8—44no—
634D4—216no—
635D4—28no—
636D4—28no—
637D4—24no—
638D4—48no—
639D4—42no—
640D4—88no—
641D4—88no—
642C2×C4—21no—
643C2×C4—21no—
644C2×C4—21no—
645C2×C4—22no—
646C2×C4—21no—
647C2×C4—22no—
648C2×C4—21no—
649C2×C4—21no—
650C2×C4—28no—
651C2×C4—24no—
652C2×C4—28no—
653C2×C4—28no—
654C2×C4—24no—
655C2×C4—21no—
656C2×C4—21no—
657C2×C4—22no—
658C2×C4—22no—
659C2×C4—22no—
660C2×C4—24no—
661C2×C4—22no—
662C2×C4—21no—
663C2×C4—48no—
664C2×C4—44no—
665C2×C4—48no—
666C2×C4—48no—
667C2×C4—48no—
668C2×C4—42no—
669C2×C4—42no—
670C2×C4—41no—
671C2×C4—41no—
672C2×C4—44no—
673C2×C4—44no—
674C2×C4—41no—
675C2×C4—42no—
676C2×C4—44no—
677C2×C4—41no—
678C2×C4—42no—
679C2×C4—42no—
680C2×C4—42no—
681C2×C4—42no—
682C2×C4—41no—
683C2×C4—42no—
684C2×C4—44no—
685C2×C4—42no—
686C2×C4—41no—
687C2×C4—44no—
688C2×C4—41no—
689C2×C4—41no—
690C2×C4—42no—
691C2×C4—42no—
692C2×C4—88no—
693C2×C4—816no—
694C2×C4—816no—
695C2×C4—88no—
696C2×C4—84no—
697C2×C4—84no—
698C2×C4C2×#12312yes—
699C2×C4C2×#12314yes—
700C2×C4C2×#12312yes—
701C2×C4#54612yes—
702C2×C4C2×AGL(1,ℤ/8)12yes—
703C2×C4C2×AGL(1,ℤ/8)12yes—
704C2×C4C2×#13712yes—
705C2×C4C22×#4111yescharacteristic
706C2×C4C22×#4112yes—
707C2×C4C2×H(5,𝔽2)12yes—
708C2×C4C2×H(5,𝔽2)11yescharacteristic
709C8—42no—
710C8—44no—
711C8—42no—
712C22—22no—
713C22—22no—
714C22—22no—
715C22—22no—
716C22—22no—
717C22—22no—
718C22—24no—
719C22—24no—
720C22—24no—
721C22—24no—
722C22—24no—
723C22—24no—
724C22—432no—
725C22—42no—
726C22—42no—
727C22—42no—
728C22—42no—
729C22—42no—
730C22—42no—
731C22—42no—
732C22—42no—
733C22—42no—
734C22—42no—
735C22—42no—
736C22—81no—
737C22—81no—
738C22—81no—
739C22—81no—
740C22#333014yes—
741C22C22×#12311yescharacteristic
742C22C2×#54611yescharacteristic
743C22#348411yescharacteristic
744C22C22×AGL(1,ℤ/8)11yescharacteristic
745C22C22×#13711yescharacteristic
746C22C2×#57811yescharacteristic
747C22#358511yescharacteristic
748C4—22no—
749C4—22no—
750C4—22no—
751C4—24no—
752C4—41no—
753C4—42no—
754C4—44no—
755C4—42no—
756C4—81no—
757C4—82no—
758C4—81no—
759C4—84no—
760C4—82no—
761C4—82no—
762C4#309214yes—
763C4#348112yes—
764C4#351912yes—
765C2—24no—
766C2—44no—
767C2—44no—
768C2—82no—
769C2#3623611yescharacteristic
770C2C2×#309211yescharacteristic
771C2#6052611yescharacteristic
772C2C2×#333011yescharacteristic
773C2#6116211yescharacteristic
774C2#6158211yescharacteristic
775C2#6160211yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
prime radical#36100C2
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×D4×C4⋊C4C2semidirect
3. #33108C2semidirect
4. #32983C2semidirect
5. #27972C2semidirect
6. #27677C2semidirect
7. #26236C2semidirect
8. #26220C2semidirect
9. #24967C2semidirect
10. #24883C2semidirect
11. #24559C2semidirect
12. #24004C2semidirect
13. #22713C2semidirect
14. #22431C2semidirect
15. #22401C2semidirect
16. C4×#480C2semidirect
17. #20909C2semidirect
23. C2×#484C22semidirect
27. C2×#417C22semidirect
54. #2099C22semidirect
55. #2093C22semidirect
56. #2077C22semidirect
57. #2072C22semidirect
58. #2036C22semidirect
59. #2036C22semidirect
60. #2034C22semidirect
61. #1981C22semidirect
62. #1956C22semidirect
64. #1948C22semidirect
65. #1947C22semidirect
66. #1927C22semidirect
67. #1925C22semidirect
68. #1918C22semidirect
69. #1894C22semidirect
72. #1874C22semidirect
76. #1872C22semidirect
77. #1872C22semidirect
79. #1854C22semidirect
82. #1852C22semidirect
83. #1834C22semidirect
84. #1824C22semidirect
86. #1809C22semidirect
87. #1802C22semidirect
89. #1788C22semidirect
91. C4×#107C22semidirect
92. C4×#102C22semidirect
94. #1736C22semidirect

Maximal subgroups

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

subgroupindex
#361002
C2×D4×C4⋊C42
#331082
#329832
#279722
#276772
#262362
#262202
#249672
#248832
#245592
#240042
#227132
#224312
#224012
C4×#4802
#209092