Finite Group Databasebeta

← #6574882

Subgroups — #6574882

Order 512.

2311 conjugacy classes of subgroups.

The subgroup lattice has 774 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3091C212yesmaximal, complemented
2#36100C211yesmaximal, characteristic
3C2×#2354C211yesmaximal, characteristic, complemented
4#33108C211yesmaximal, characteristic, complemented
5#32984C212yesmaximal, complemented
6#27910C211yesmaximal, characteristic, complemented
7#27645C211yesmaximal, characteristic, complemented
8#26231C212yesmaximal, complemented
9#26139C214yesmaximal, complemented
10#25011C212yesmaximal, complemented
11#24874C214yesmaximal, complemented
12#24552C212yesmaximal, complemented
13#24007C212yesmaximal, complemented
14#22658C212yesmaximal, complemented
15#22417C212yesmaximal, complemented
16D4×C22⋊C8C211yesmaximal, characteristic, complemented
17C4×#480C211yesmaximal, characteristic, complemented
18C2×#547C2211yescharacteristic
19C2×#525C2212yes—
20C22×C4×D4C2211yescharacteristic
21C22×#117C2212yes—
22#3091—216no—
23C2×#484C2212yes—
24C2×#484C2212yes—
25C2×#481C2212yes—
26C2×#485C2214yescomplemented
27C2×#482C2214yescomplemented
28C2×#483C2212yes—
29C2×#480C2211yescharacteristic
30C2×C8×D4C2212yes—
31C2×#427C2214yescomplemented
32C2×#416C2214yescomplemented
33C22×C22⋊C8C2212yes—
34#2857C2211yescharacteristic
35#2848C2212yes—
36#2542C2211yescharacteristic
37#2537C2211yescharacteristic
38#2455—22no—
39#2422—21no—
40#2418—22no—
41#2415C2212yes—
42#2408—21no—
43#2407C2212yes—
44#2361—21no—
45#2354—21no—
46#2354—21no—
47#2354—22no—
48#2354C2211yescharacteristic
49#2354C2214yes—
50#2354C2212yes—
51#2354C2212yes—
52D4×C4⋊C4—21no—
53C4×#121C2211yescharacteristic
54C2×#390—21no—
55C2×#388—22no—
56C2×#384C2211yescharacteristic
57C2×#380C2212yes—
58C2×C4×C4⋊C4—21no—
59C2×C4×C4⋊C4C2211yescharacteristic
60#2095C2214yescomplemented
61#2084C2212yescomplemented
62#2076C2214yescomplemented
63#2071C2212yescomplemented
64#2036C2214yescomplemented
65#2035C2214yescomplemented
66#2033C2214yescomplemented
67#1981C2212yescomplemented
68#1956C2212yescomplemented
69#1954C2212yes—
70#1948C2212yescomplemented
71#1948C2212yescomplemented
72#1927C2214yescomplemented
73#1925C2212yescomplemented
74#1918C2212yescomplemented
75#1892C2214yescomplemented
76#1874C2211yescharacteristic
77#1873C2214yescomplemented
78#1873C2214yescomplemented
79#1872C2212yes—
80#1869C2214yes—
81#1854C2214yescomplemented
82#1854C2214yescomplemented
83#1854C2214yescomplemented
84#1852C2211yescharacteristic
85#1845C2212yescomplemented
86#1824C2212yes—
87#1823C2211yescharacteristic
88#1808C2214yescomplemented
89#1802C2212yescomplemented
90#1797C2211yescharacteristic
91#1788C2214yescomplemented
92#1779C2212yes—
93C4×#107C2212yescomplemented
94C4×#102C2212yescomplemented
95C4×C22⋊C8C2211yescharacteristic
96C22×#41C2312yes—
97C23×D4D411yescharacteristic
98C24×C4C2312yes—
99C23×C8C2314yes—
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—21no—
117C2×C4×D4—22no—
118C2×C4×D4—22no—
119C2×C4×D4D411yescharacteristic
120C2×C4×D4D411yescharacteristic
121C2×C4×D4D412yes—
122C2×C4×D4C2311yescharacteristic
123C2×C4×D4C2312yes—
124C2×C4×D4C2311yescharacteristic
125C2×C4×D4C2311yescharacteristic
126C2×#117—22no—
127C2×#117—22no—
128C2×#117—28no—
129C2×#117—44no—
130C2×#117C2314yes—
131C2×#117C2314yes—
132C2×#117C2312yes—
133C22×C4⋊C4—21no—
134C22×C4⋊C4—21no—
135C22×C4⋊C4—21no—
136C22×C4⋊C4D411yescharacteristic
137C22×C4⋊C4C2312yes—
138C22×C4⋊C4C2311yescharacteristic
139C22×C4⋊C4C2311yescharacteristic
140C22×C22⋊C4—22no—
141C22×C22⋊C4—22no—
142C22×C22⋊C4D412yes—
143C22×C42—22no—
144C22×C42—21no—
145C22×C42C2311yescharacteristic
146#485—216no—
147#484—28no—
148#484—44no—
149#483—28no—
150#482—216no—
151#481—28no—
152#480D418yescomplemented
153C8×D4—28no—
154#427—216no—
155C2×#107C2314yes—
156C2×#107C2312yes—
157C2×#107C2314yes—
158C2×#107C2312yes—
159C2×#106C2314yes—
160C2×#106C2314yes—
161C2×C4⋊C8C2312yes—
162#416—216no—
163C2×#103C2314yes—
164C2×#103C2314yes—
165C2×#103C2314yes—
166C2×#103C2314yes—
167C2×#102C2314yes—
168C2×#102C2312yes—
169C2×#102C2312yes—
170C2×C22⋊C8—28no—
171C2×C22⋊C8C2312yes—
172C2×C22⋊C8C2314yes—
173C2×C22⋊C8C2311yescharacteristic
174C2×C22⋊C8C2314yes—
175C2×C22⋊C8C2314yes—
176C2×C22⋊C8C2311yescharacteristic
177C2×C4×C8C2312yes—
178#399—22no—
179#397—22no—
180#394—22no—
181#394—22no—
182#394—22no—
183#392—22no—
184#391C2312yes—
185#390—22no—
186#390—24no—
187#390—22no—
188#390—21no—
189#390—21no—
190#390C2311yescharacteristic
191#389—22no—
192#389—21no—
193#389—21no—
194#389C2311yescharacteristic
195#388—24no—
196#388—24no—
197#388—24no—
198#388—24no—
199#388—22no—
200#388—22no—
201#388—21no—
202#386—21no—
203#386—22no—
204#385—22no—
205#385—22no—
206#385—22no—
207#385—22no—
208#384—21no—
209#384—21no—
210#384—21no—
211#384C2312yes—
212#384C2312yes—
213#384C2311yescharacteristic
214#380—21no—
215#380—21no—
216#380—22no—
217#380—22no—
218#380—21no—
219#380C2312yes—
220#380C2314yes—
221#380C2312yes—
222#380C2314yes—
223#380C2311yescharacteristic
224#379—22no—
225C4×C4⋊C4—21no—
226C4×C4⋊C4—22no—
227C4×C4⋊C4—24no—
228C4×C4⋊C4—22no—
229C4×C4⋊C4—21no—
230C4×C4⋊C4—21no—
231C4×C4⋊C4C2312yes—
232C4×C4⋊C4C2312yes—
233C4×C4⋊C4C2311yescharacteristic
234C4×C22⋊C4—21no—
235C2×#95—22no—
236C2×#95—21no—
237#340C2314yes—
238#340C2314yes—
239#340C2314yes—
240#340C2312yes—
241#340C2312yes—
242#340C2312yes—
243#340C2312yes—
244#336C2312yes—
245#336C2312yes—
246C25C2×D412yes—
247C2×#41—24no—
248C2×#41—28no—
249C2×#41—42no—
250C2×#41—44no—
251C22×Q8C2412yes—
252C22×D4—21no—
253C22×D4—24no—
254C22×D4—22no—
255C22×D4—22no—
256C22×D4—24no—
257C22×D4—42no—
258C22×D4C2×D411yescharacteristic
259C22×D4C2×D412yes—
260C22×D4C2×D411yescharacteristic
261C22×D4C2411yescharacteristic
262C23×C4—21no—
263C23×C4—24no—
264C23×C4—28no—
265C23×C4—24no—
266C23×C4—22no—
267C23×C4—21no—
268C23×C4—21no—
269C23×C4—22no—
270C23×C4—44no—
271C23×C4C2×D411yescharacteristic
272C23×C4C2×D412yes—
273C23×C4C2×D412yes—
274C23×C4C2×D412yes—
275C23×C4C2×D411yescharacteristic
276C23×C4C2412yes—
277C23×C4C2411yescharacteristic
278C23×C4C2412yes—
279C22×C8—28no—
280C22×C8—28no—
281C22×C8—44no—
282C22×C8C2414yes—
283C22×C8C2412yes—
284C22×C8C2412yes—
285C4⋊Q8—24no—
286#123—48no—
287#123—48no—
288C22⋊Q8—24no—
289C22⋊Q8—28no—
290C22⋊Q8—24no—
291C22⋊Q8—24no—
292C22⋊Q8—42no—
293C22⋊Q8—44no—
294#121—22no—
295#121—24no—
296#121—42no—
297#121—44no—
298#121—44no—
299#121C2×D414yes—
300#120—48no—
301C4×D4—24no—
302C4×D4—28no—
303C4×D4—24no—
304C4×D4—28no—
305C4×D4—24no—
306C4×D4—24no—
307C4×D4—48no—
308C4×D4—48no—
309C4×D4—44no—
310C4×D4#4118yes—
311#117—28no—
312#117—28no—
313#117—24no—
314#117—44no—
315#117—44no—
316#117—42no—
317#117—48no—
318#117—48no—
319C2×C4⋊C4—21no—
320C2×C4⋊C4—22no—
321C2×C4⋊C4—24no—
322C2×C4⋊C4—24no—
323C2×C4⋊C4—24no—
324C2×C4⋊C4—21no—
325C2×C4⋊C4—22no—
326C2×C4⋊C4—22no—
327C2×C4⋊C4—22no—
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—42no—
340C2×C4⋊C4—44no—
341C2×C4⋊C4—44no—
342C2×C4⋊C4—82no—
343C2×C4⋊C4C2×D411yescharacteristic
344C2×C4⋊C4C2×D412yes—
345C2×C4⋊C4C2×D414yes—
346C2×C4⋊C4C2×D411yescharacteristic
347C2×C4⋊C4C2414yes—
348C2×C4⋊C4C2412yes—
349C2×C4⋊C4C2412yes—
350C2×C4⋊C4C2411yescharacteristic
351C2×C4⋊C4C2411yescharacteristic
352C2×C4⋊C4C2412yes—
353C2×C4⋊C4C2411yescharacteristic
354C2×C22⋊C4—21no—
355C2×C22⋊C4—28no—
356C2×C22⋊C4—24no—
357C2×C22⋊C4—24no—
358C2×C22⋊C4—22no—
359C2×C22⋊C4—22no—
360C2×C22⋊C4—22no—
361C2×C22⋊C4—21no—
362C2×C22⋊C4—22no—
363C2×C22⋊C4—22no—
364C2×C22⋊C4—22no—
365C2×C22⋊C4—21no—
366C2×C22⋊C4—21no—
367C2×C22⋊C4—24no—
368C2×C22⋊C4—24no—
369C2×C22⋊C4—22no—
370C2×C22⋊C4—22no—
371C2×C22⋊C4—21no—
372C2×C22⋊C4—48no—
373C2×C22⋊C4—84no—
374C2×C22⋊C4C2×D412yes—
375C2×C22⋊C4C2×D412yes—
376C2×C22⋊C4C2×D412yes—
377C2×C22⋊C4C2×D412yes—
378C2×C42—24no—
379C2×C42—24no—
380C2×C42—24no—
381C2×C42—22no—
382C2×C42—21no—
383C2×C42—22no—
384C2×C42—22no—
385C2×C42—48no—
386C2×C42—44no—
387C2×C42C2×D411yescharacteristic
388C2×C42C2×D411yescharacteristic
389C2×C42C2411yescharacteristic
390C2×C42C2411yescharacteristic
391#107—28no—
392#107—42no—
393#107—44no—
394#107C2×D418yescomplemented
395#106—28no—
396#106—28no—
397C4⋊C8—24no—
398#103—28no—
399#103—28no—
400#103—44no—
401#103—44no—
402#102—28no—
403#102—42no—
404#102C2×D418yescomplemented
405C22⋊C8—24no—
406C22⋊C8—28no—
407C22⋊C8—22no—
408C22⋊C8—28no—
409C22⋊C8—44no—
410C22⋊C8C2×D414yes—
411C4×C8—24no—
412#95—24no—
413#95—24no—
414#95—22no—
415#95—22no—
416#95—21no—
417#95—21no—
418#95—22no—
419#95—21no—
420#95—22no—
421#95—22no—
422#95—22no—
423C24—24no—
424C24—21no—
425C24—24no—
426C24—24no—
427C24—24no—
428C24—42no—
429C24—42no—
430C24—42no—
431C24C22×D412yes—
432C24C22×D412yes—
433C24C22×D411yescharacteristic
434#41—416no—
435#41—88no—
436C2×Q8—22no—
437C2×Q8—24no—
438C2×Q8—22no—
439C2×Q8—24no—
440C2×D4—24no—
441C2×D4—24no—
442C2×D4—22no—
443C2×D4—22no—
444C2×D4—24no—
445C2×D4—22no—
446C2×D4—22no—
447C2×D4—22no—
448C2×D4—22no—
449C2×D4—21no—
450C2×D4—22no—
451C2×D4—416no—
452C2×D4—42no—
453C2×D4—42no—
454C2×D4—42no—
455C2×D4—44no—
456C2×D4—44no—
457C2×D4—44no—
458C2×D4—44no—
459C2×D4—82no—
460C2×D4—82no—
461C2×D4#12314yes—
462C2×D4C22×D412yes—
463C22×C4—22no—
464C22×C4—22no—
465C22×C4—22no—
466C22×C4—22no—
467C22×C4—22no—
468C22×C4—22no—
469C22×C4—24no—
470C22×C4—24no—
471C22×C4—24no—
472C22×C4—24no—
473C22×C4—22no—
474C22×C4—22no—
475C22×C4—21no—
476C22×C4—22no—
477C22×C4—24no—
478C22×C4—24no—
479C22×C4—24no—
480C22×C4—24no—
481C22×C4—22no—
482C22×C4—24no—
483C22×C4—22no—
484C22×C4—24no—
485C22×C4—22no—
486C22×C4—21no—
487C22×C4—22no—
488C22×C4—21no—
489C22×C4—24no—
490C22×C4—22no—
491C22×C4—41no—
492C22×C4—42no—
493C22×C4—42no—
494C22×C4—42no—
495C22×C4—416no—
496C22×C4—416no—
497C22×C4—44no—
498C22×C4—42no—
499C22×C4—42no—
500C22×C4—42no—
501C22×C4—44no—
502C22×C4—42no—
503C22×C4—44no—
504C22×C4—44no—
505C22×C4—42no—
506C22×C4—42no—
507C22×C4—44no—
508C22×C4—42no—
509C22×C4—42no—
510C22×C4—82no—
511C22×C4#13514yes—
512C22×C4C22×D411yescharacteristic
513C22×C4C22×D412yes—
514C22×C4C22×D412yes—
515C22×C4C22×D411yescharacteristic
516C22×C4C22×D411yescharacteristic
517C22×C4C22×D412yes—
518C22×C4C22×D411yescharacteristic
519C22×C4C22×D411yescharacteristic
520C22×C4C2×#4118yes—
521C22×C4H(5,𝔽2)12yes—
522C22×C4C2511yescharacteristic
523C2×C8—22no—
524C2×C8—22no—
525C2×C8—24no—
526C2×C8—22no—
527C2×C8—24no—
528C2×C8—22no—
529C2×C8—22no—
530C2×C8—24no—
531C2×C8—416no—
532C2×C8C22×D414yes—
533C4⋊C4—24no—
534C4⋊C4—22no—
535C4⋊C4—24no—
536C4⋊C4—22no—
537C4⋊C4—21no—
538C4⋊C4—24no—
539C4⋊C4—22no—
540C4⋊C4—22no—
541C4⋊C4—24no—
542C4⋊C4—22no—
543C4⋊C4—22no—
544C4⋊C4—22no—
545C4⋊C4—22no—
546C4⋊C4—44no—
547C4⋊C4—42no—
548C4⋊C4—44no—
549C4⋊C4—42no—
550C4⋊C4—44no—
551C4⋊C4—42no—
552C4⋊C4—44no—
553C4⋊C4—44no—
554C4⋊C4—42no—
555C4⋊C4—44no—
556C4⋊C4—42no—
557C4⋊C4—81no—
558C4⋊C4—82no—
559C4⋊C4—82no—
560C4⋊C4—82no—
561C4⋊C4#12314yes—
562C4⋊C4C22×D414yes—
563C4⋊C4C22×D412yes—
564C22⋊C4—24no—
565C22⋊C4—24no—
566C22⋊C4—24no—
567C22⋊C4—24no—
568C22⋊C4—48no—
569C22⋊C4—48no—
570C22⋊C4—44no—
571C22⋊C4—44no—
572C22⋊C4—44no—
573C22⋊C4—44no—
574C22⋊C4—44no—
575C22⋊C4—44no—
576C22⋊C4—42no—
577C22⋊C4—42no—
578C22⋊C4—42no—
579C22⋊C4—81no—
580C22⋊C4—82no—
581C22⋊C4—84no—
582C22⋊C4—84no—
583C22⋊C4—82no—
584C22⋊C4#12318yes—
585C42—22no—
586C42—22no—
587C42—22no—
588C42—48no—
589C42—48no—
590C42—44no—
591C42—44no—
592C42—44no—
593C42—42no—
594C42C2×#4114yes—
595C23—21no—
596C23—21no—
597C23—21no—
598C23—21no—
599C23—22no—
600C23—22no—
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—48no—
614C23—48no—
615C23—48no—
616C23—41no—
617C23—41no—
618C23—41no—
619C23—48no—
620C23—41no—
621C23—41no—
622C23—41no—
623C23—84no—
624C23—84no—
625C23—84no—
626C23C2×#12314yes—
627C23D4212yes—
628C23C2×#13512yes—
629C23#57812yes—
630C23C23×D411yescharacteristic
631Q8—44no—
632Q8—44no—
633D4—28no—
634D4—24no—
635D4—48no—
636D4—48no—
637D4—44no—
638D4—42no—
639D4—88no—
640D4—88no—
641C2×C4—21no—
642C2×C4—21no—
643C2×C4—21no—
644C2×C4—22no—
645C2×C4—21no—
646C2×C4—22no—
647C2×C4—21no—
648C2×C4—21no—
649C2×C4—28no—
650C2×C4—28no—
651C2×C4—24no—
652C2×C4—24no—
653C2×C4—28no—
654C2×C4—21no—
655C2×C4—21no—
656C2×C4—22no—
657C2×C4—24no—
658C2×C4—22no—
659C2×C4—22no—
660C2×C4—22no—
661C2×C4—21no—
662C2×C4—48no—
663C2×C4—44no—
664C2×C4—48no—
665C2×C4—48no—
666C2×C4—48no—
667C2×C4—42no—
668C2×C4—41no—
669C2×C4—42no—
670C2×C4—41no—
671C2×C4—44no—
672C2×C4—44no—
673C2×C4—42no—
674C2×C4—41no—
675C2×C4—44no—
676C2×C4—42no—
677C2×C4—41no—
678C2×C4—42no—
679C2×C4—44no—
680C2×C4—42no—
681C2×C4—42no—
682C2×C4—41no—
683C2×C4—42no—
684C2×C4—42no—
685C2×C4—42no—
686C2×C4—41no—
687C2×C4—41no—
688C2×C4—41no—
689C2×C4—42no—
690C2×C4—44no—
691C2×C4—88no—
692C2×C4—84no—
693C2×C4—88no—
694C2×C4—84no—
695C2×C4C2×#12312yes—
696C2×C4C2×#12314yes—
697C2×C4C2×#12312yes—
698C2×C4D4212yes—
699C2×C4C2×#13512yes—
700C2×C4C2×#13512yes—
701C2×C4#57512yes—
702C2×C4C23×D411yescharacteristic
703C2×C4C22×#4112yes—
704C2×C4C2×H(5,𝔽2)11yescharacteristic
705C2×C4#58512yes—
706C8—24no—
707C8—44no—
708C8—42no—
709C22—22no—
710C22—22no—
711C22—22no—
712C22—22no—
713C22—22no—
714C22—22no—
715C22—24no—
716C22—24no—
717C22—24no—
718C22—42no—
719C22—42no—
720C22—42no—
721C22—42no—
722C22—42no—
723C22—42no—
724C22—42no—
725C22—42no—
726C22—42no—
727C22—42no—
728C22—42no—
729C22—42no—
730C22—42no—
731C22—42no—
732C22—816no—
733C22—81no—
734C22—81no—
735C22—81no—
736C22—81no—
737C22#328314yes—
738C22C22×#12311yescharacteristic
739C22C2×D4211yescharacteristic
740C22#348511yescharacteristic
741C22C22×#13511yescharacteristic
742C22C2×#57511yescharacteristic
743C22C2×#57811yescharacteristic
744C22#358511yescharacteristic
745C4—22no—
746C4—22no—
747C4—22no—
748C4—24no—
749C4—41no—
750C4—44no—
751C4—42no—
752C4—42no—
753C4—81no—
754C4—82no—
755C4—81no—
756C4—84no—
757C4—82no—
758C4—82no—
759C4#309114yescomplemented
760C4D4×#4112yes—
761C4#351312yes—
762C2—24no—
763C2—44no—
764C2—82no—
765C2—82no—
766C2D4×#12311yescharacteristic
767C2C2×#309111yescharacteristic
768C2#6052611yescharacteristic
769C2C2×#328311yescharacteristic
770C2#6107011yescharacteristic
771C2#6170011yescharacteristic
772C2#6173011yescharacteristic
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
1. C2×#3091C2semidirect
3. C2×#2354C2semidirect
4. #33108C2semidirect
5. #32984C2semidirect
6. #27910C2semidirect
7. #27645C2semidirect
8. #26231C2semidirect
9. #26139C2semidirect
10. #25011C2semidirect
11. #24874C2semidirect
12. #24552C2semidirect
13. #24007C2semidirect
14. #22658C2semidirect
15. #22417C2semidirect
16. D4×C22⋊C8C2semidirect
17. C4×#480C2semidirect
26. C2×#485C22semidirect
27. C2×#482C22semidirect
31. C2×#427C22semidirect
32. C2×#416C22semidirect
60. #2095C22semidirect
61. #2084C22semidirect
62. #2076C22semidirect
63. #2071C22semidirect
64. #2036C22semidirect
65. #2035C22semidirect
66. #2033C22semidirect
67. #1981C22semidirect
68. #1956C22semidirect
70. #1948C22semidirect
71. #1948C22semidirect
72. #1927C22semidirect
73. #1925C22semidirect
74. #1918C22semidirect
75. #1892C22semidirect
77. #1873C22semidirect
78. #1873C22semidirect
81. #1854C22semidirect
82. #1854C22semidirect
83. #1854C22semidirect
85. #1845C22semidirect
88. #1808C22semidirect
89. #1802C22semidirect
91. #1788C22semidirect
93. C4×#107C22semidirect
94. C4×#102C22semidirect
152. #480D4semidirect
394. #107C2×D4semidirect
404. #102C2×D4semidirect
759. C4#3091semidirect

Maximal subgroups

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

subgroupindex
C2×#30912
#361002
C2×#23542
#331082
#329842
#279102
#276452
#262312
#261392
#250112
#248742
#245522
#240072
#226582
#224172
D4×C22⋊C82
C4×#4802