Finite Group Databasebeta

← #6574909

Subgroups — #6574909

Order 512.

2269 conjugacy classes of subgroups.

The subgroup lattice has 754 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3095C212yesmaximal, complemented
2D4×C22⋊Q8C211yesmaximal, characteristic
3C2×#2354C211yesmaximal, characteristic
4#33109C211yesmaximal, characteristic, complemented
5#32984C212yesmaximal, complemented
6#27905C211yesmaximal, characteristic, complemented
7#27647C211yesmaximal, characteristic, complemented
8#26231C212yesmaximal, complemented
9#26155C214yesmaximal, complemented
10#25015C212yesmaximal, complemented
11#24892C214yesmaximal, complemented
12#24559C212yesmaximal, complemented
13#24003C212yesmaximal, complemented
14#22663C212yesmaximal, complemented
15#22430C212yesmaximal, complemented
16#22401C211yesmaximal, characteristic
17C4×#484C211yesmaximal, characteristic, complemented
18C2×D4×Q8C2211yescharacteristic
19C22×C22⋊Q8C2212yes—
20C22×C4×D4C2211yescharacteristic
21C22×#117C2212yes—
22#3095—216no—
23C2×#484C2212yes—
24C2×#484C2211yescharacteristic
25C2×#485C2214yescomplemented
26C2×#485C2214yescomplemented
27C2×#483C2212yes—
28C2×#483C2212yes—
29C2×#483C2212yes—
30C2×#436C2212yes—
31C2×#428C2214yescomplemented
32C2×#419C2214yescomplemented
33C2×#407C2212yes—
34#2857C2211yescharacteristic
35#2848C2212yes—
36#2542C2211yescharacteristic
37#2538C2211yescharacteristic
38#2452—21no—
39#2449—22no—
40#2440—21no—
41#2437—22no—
42#2417C2212yes—
43#2409C2212yes—
44#2354—21no—
45#2354—22no—
46#2354—21no—
47#2354C2214yes—
48#2354C2212yes—
49#2354C2212yes—
50D4×C4⋊C4—21no—
51D4×C4⋊C4C2211yescharacteristic
52D4×C22⋊C4—21no—
53C4×C22⋊Q8C2211yescharacteristic
54C2×#390—21no—
55C2×#388—22no—
56C2×#384C2211yescharacteristic
57C2×#380C2212yes—
58C2×C4×C4⋊C4—21no—
59C2×C4×C4⋊C4C2211yescharacteristic
60#2096C2214yescomplemented
61#2084C2212yescomplemented
62#2077C2214yescomplemented
63#2072C2212yescomplemented
64#2036C2214yescomplemented
65#2035C2214yescomplemented
66#2035C2214yescomplemented
67#1981C2212yescomplemented
68#1956C2212yescomplemented
69#1954C2212yes—
70#1948C2212yescomplemented
71#1947C2212yescomplemented
72#1928C2214yescomplemented
73#1928C2212yescomplemented
74#1921C2212yescomplemented
75#1894C2214yescomplemented
76#1873C2214yescomplemented
77#1873C2214yescomplemented
78#1872C2211yescharacteristic
79#1872C2212yes—
80#1870C2214yes—
81#1854C2214yescomplemented
82#1854C2214yescomplemented
83#1853C2214yescomplemented
84#1852C2211yescharacteristic
85#1844C2212yescomplemented
86#1824C2211yescharacteristic
87#1823C2212yes—
88#1809C2214yescomplemented
89#1803C2212yescomplemented
90#1797C2211yescharacteristic
91#1787C2214yescomplemented
92#1779C2212yes—
93C4×#107C2212yescomplemented
94C4×#103C2212yescomplemented
95C4×C22⋊C8C2211yescharacteristic
96C23×Q8C2312yes—
97C23×D4D411yescharacteristic
98C24×C4C2312yes—
99C22×M16C2314yes—
100D4×Q8—28no—
101C2×C4⋊Q8—21no—
102C2×C4⋊Q8C2311yescharacteristic
103C2×C22⋊Q8—22no—
104C2×C22⋊Q8—22no—
105C2×C22⋊Q8—22no—
106C2×C22⋊Q8—28no—
107C2×C22⋊Q8—44no—
108C2×C22⋊Q8C2312yes—
109C2×C22⋊Q8C2312yes—
110C2×C22⋊Q8C2312yes—
111C2×C22⋊Q8C2312yes—
112C2×C22⋊Q8C2311yescharacteristic
113C2×C22⋊Q8C2312yes—
114C2×C4×Q8C2311yescharacteristic
115C2×C4×D4—28no—
116C2×C4×D4—21no—
117C2×C4×D4—21no—
118C2×C4×D4D411yescharacteristic
119C2×C4×D4D412yes—
120C2×C4×D4D411yescharacteristic
121C2×C4×D4C2312yes—
122C2×C4×D4C2311yescharacteristic
123C2×C4×D4C2311yescharacteristic
124C2×#117—22no—
125C2×#117—22no—
126C2×#117—28no—
127C2×#117—44no—
128C2×#117C2314yes—
129C2×#117C2314yes—
130C22×C4⋊C4—22no—
131C22×C4⋊C4—21no—
132C22×C4⋊C4—21no—
133C22×C4⋊C4D411yescharacteristic
134C22×C4⋊C4C2312yes—
135C22×C4⋊C4C2312yes—
136C22×C4⋊C4C2311yescharacteristic
137C22×C4⋊C4C2311yescharacteristic
138C22×C22⋊C4—22no—
139C22×C22⋊C4—22no—
140C22×C22⋊C4—22no—
141C22×C22⋊C4D412yes—
142C22×C42—22no—
143C22×C42—21no—
144C22×C42C2311yescharacteristic
145#485—216no—
146#485—216no—
147#484—28no—
148#484D418yescomplemented
149#483—28no—
150#483—28no—
151#483—44no—
152#436—28no—
153#428—216no—
154C2×#107C2314yes—
155C2×#107C2312yes—
156C2×#107C2312yes—
157C2×#106C2314yes—
158C2×#106C2314yes—
159C2×#106C2314yes—
160C2×C4⋊C8C2312yes—
161#419—216no—
162C2×#103C2314yes—
163C2×#103C2314yes—
164C2×#103C2314yes—
165C2×#103C2314yes—
166C2×#103C2314yes—
167C2×#103C2312yes—
168C2×#103C2312yes—
169#407—28no—
170C2×C22⋊C8C2312yes—
171C2×C22⋊C8C2311yescharacteristic
172C2×C22⋊C8C2314yes—
173C2×C22⋊C8C2314yes—
174C2×C22⋊C8C2314yes—
175C2×C22⋊C8C2311yescharacteristic
176C2×C4×C8C2312yes—
177#399—22no—
178#398—22no—
179#396—22no—
180#396—22no—
181#395—22no—
182#393—22no—
183#391C2311yescharacteristic
184#391C2312yes—
185#390—21no—
186#390—21no—
187#390—22no—
188#390—24no—
189#390—22no—
190#389—21no—
191#389—21no—
192#389—21no—
193#389—21no—
194#389C2311yescharacteristic
195#388—24no—
196#388—24no—
197#388—24no—
198#388—24no—
199#387—21no—
200#386—22no—
201#386—22no—
202#385—22no—
203#385—22no—
204#385—22no—
205#385—21no—
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—22no—
219#380C2312yes—
220#380C2314yes—
221#380C2312yes—
222#380C2314yes—
223#380C2311yescharacteristic
224#379—22no—
225C4×C4⋊C4—22no—
226C4×C4⋊C4—24no—
227C4×C4⋊C4—22no—
228C4×C4⋊C4—21no—
229C4×C4⋊C4—21no—
230C4×C4⋊C4—21no—
231C4×C4⋊C4C2311yescharacteristic
232C4×C4⋊C4C2312yes—
233C4×C4⋊C4C2312yes—
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—
247C22×Q8—22no—
248C22×Q8—24no—
249C22×Q8—28no—
250C22×Q8—42no—
251C22×Q8—44no—
252C22×Q8C2412yes—
253C22×Q8C2411yescharacteristic
254C22×D4—24no—
255C22×D4—24no—
256C22×D4—42no—
257C22×D4C2×D411yescharacteristic
258C22×D4C2×D412yes—
259C22×D4C2×D411yescharacteristic
260C23×C4—21no—
261C23×C4—24no—
262C23×C4—28no—
263C23×C4—24no—
264C23×C4—22no—
265C23×C4—21no—
266C23×C4—22no—
267C23×C4—22no—
268C23×C4—44no—
269C23×C4C2×D411yescharacteristic
270C23×C4C2×D412yes—
271C23×C4C2×D412yes—
272C23×C4C2×D412yes—
273C23×C4C2×D411yescharacteristic
274C23×C4C2412yes—
275C23×C4C2411yescharacteristic
276C23×C4C2412yes—
277C2×M16—28no—
278C2×M16—28no—
279C2×M16—44no—
280C22×C8C2414yes—
281C22×C8C2412yes—
282C22×C8C2412yes—
283C4⋊Q8—24no—
284C4⋊Q8—44no—
285C22⋊Q8—22no—
286C22⋊Q8—24no—
287C22⋊Q8—24no—
288C22⋊Q8—28no—
289C22⋊Q8—24no—
290C22⋊Q8—24no—
291C22⋊Q8—48no—
292C22⋊Q8—42no—
293C22⋊Q8—42no—
294C22⋊Q8—48no—
295C22⋊Q8—48no—
296C22⋊Q8—44no—
297C22⋊Q8C2×D414yes—
298C4×Q8—24no—
299C4×D4—24no—
300C4×D4—28no—
301C4×D4—24no—
302C4×D4—28no—
303C4×D4—24no—
304C4×D4—44no—
305C4×D4—44no—
306C4×D4#4118yes—
307#117—28no—
308#117—28no—
309#117—44no—
310#117—44no—
311#117—48no—
312#117—48no—
313C2×C4⋊C4—21no—
314C2×C4⋊C4—21no—
315C2×C4⋊C4—22no—
316C2×C4⋊C4—24no—
317C2×C4⋊C4—24no—
318C2×C4⋊C4—24no—
319C2×C4⋊C4—24no—
320C2×C4⋊C4—22no—
321C2×C4⋊C4—22no—
322C2×C4⋊C4—22no—
323C2×C4⋊C4—22no—
324C2×C4⋊C4—22no—
325C2×C4⋊C4—22no—
326C2×C4⋊C4—22no—
327C2×C4⋊C4—21no—
328C2×C4⋊C4—21no—
329C2×C4⋊C4—21no—
330C2×C4⋊C4—21no—
331C2×C4⋊C4—21no—
332C2×C4⋊C4—22no—
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—48no—
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⋊C4C2411yescharacteristic
353C2×C4⋊C4C2412yes—
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—22no—
362C2×C22⋊C4—22no—
363C2×C22⋊C4—21no—
364C2×C22⋊C4—24no—
365C2×C22⋊C4—24no—
366C2×C22⋊C4—22no—
367C2×C22⋊C4—22no—
368C2×C22⋊C4—48no—
369C2×C22⋊C4—48no—
370C2×C22⋊C4—84no—
371C2×C22⋊C4C2×D412yes—
372C2×C22⋊C4C2×D412yes—
373C2×C22⋊C4C2×D412yes—
374C2×C22⋊C4C2×D412yes—
375C2×C42—24no—
376C2×C42—24no—
377C2×C42—24no—
378C2×C42—21no—
379C2×C42—21no—
380C2×C42—22no—
381C2×C42—22no—
382C2×C42—48no—
383C2×C42—44no—
384C2×C42C2×D411yescharacteristic
385C2×C42C2×D411yescharacteristic
386C2×C42C2411yescharacteristic
387C2×C42C2411yescharacteristic
388#107—28no—
389#107—42no—
390#107C2×D418yescomplemented
391#106—28no—
392#106—28no—
393#106—44no—
394C4⋊C8—24no—
395#103—28no—
396#103—28no—
397#103—28no—
398#103—44no—
399#103—42no—
400#103—44no—
401#103C2×D418yescomplemented
402C22⋊C8—24no—
403C22⋊C8—28no—
404C22⋊C8—22no—
405C22⋊C8—28no—
406C22⋊C8—44no—
407C22⋊C8C2×D414yes—
408C4×C8—24no—
409#95—24no—
410#95—24no—
411#95—22no—
412#95—22no—
413#95—21no—
414#95—21no—
415#95—21no—
416#95—21no—
417#95—21no—
418#95—22no—
419#95—22no—
420#95—22no—
421#95—22no—
422C24—24no—
423C24—24no—
424C24—24no—
425C24—24no—
426C24—42no—
427C24—42no—
428C24—42no—
429C24C22×D412yes—
430C24C22×D412yes—
431C24C22×D411yescharacteristic
432C2×Q8—21no—
433C2×Q8—22no—
434C2×Q8—22no—
435C2×Q8—24no—
436C2×Q8—22no—
437C2×Q8—22no—
438C2×Q8—24no—
439C2×Q8—44no—
440C2×Q8—416no—
441C2×Q8—44no—
442C2×Q8—82no—
443C2×Q8—88no—
444C2×Q8C22×D412yes—
445C2×D4—24no—
446C2×D4—22no—
447C2×D4—22no—
448C2×D4—24no—
449C2×D4—22no—
450C2×D4—22no—
451C2×D4—22no—
452C2×D4—416no—
453C2×D4—42no—
454C2×D4#12314yes—
455C22×C4—22no—
456C22×C4—22no—
457C22×C4—22no—
458C22×C4—22no—
459C22×C4—22no—
460C22×C4—22no—
461C22×C4—24no—
462C22×C4—24no—
463C22×C4—24no—
464C22×C4—24no—
465C22×C4—22no—
466C22×C4—22no—
467C22×C4—21no—
468C22×C4—21no—
469C22×C4—22no—
470C22×C4—24no—
471C22×C4—24no—
472C22×C4—24no—
473C22×C4—24no—
474C22×C4—22no—
475C22×C4—24no—
476C22×C4—22no—
477C22×C4—24no—
478C22×C4—22no—
479C22×C4—21no—
480C22×C4—21no—
481C22×C4—22no—
482C22×C4—24no—
483C22×C4—22no—
484C22×C4—42no—
485C22×C4—42no—
486C22×C4—42no—
487C22×C4—41no—
488C22×C4—416no—
489C22×C4—416no—
490C22×C4—44no—
491C22×C4—44no—
492C22×C4—42no—
493C22×C4—42no—
494C22×C4—42no—
495C22×C4—42no—
496C22×C4—44no—
497C22×C4—44no—
498C22×C4—44no—
499C22×C4—44no—
500C22×C4—42no—
501C22×C4—44no—
502C22×C4—82no—
503C22×C4—82no—
504C22×C4#13714yes—
505C22×C4C22×D411yescharacteristic
506C22×C4C22×D412yes—
507C22×C4C22×D412yes—
508C22×C4C22×D411yescharacteristic
509C22×C4C22×D411yescharacteristic
510C22×C4C22×D412yes—
511C22×C4C22×D411yescharacteristic
512C22×C4C22×D411yescharacteristic
513C22×C4C2×#4118yes—
514C22×C4H(5,𝔽2)12yes—
515C22×C4C2511yescharacteristic
516M16—416no—
517C2×C8—22no—
518C2×C8—22no—
519C2×C8—24no—
520C2×C8—22no—
521C2×C8—24no—
522C2×C8—22no—
523C2×C8—22no—
524C2×C8—24no—
525C2×C8C22×D414yes—
526C4⋊C4—24no—
527C4⋊C4—22no—
528C4⋊C4—24no—
529C4⋊C4—24no—
530C4⋊C4—22no—
531C4⋊C4—21no—
532C4⋊C4—24no—
533C4⋊C4—22no—
534C4⋊C4—22no—
535C4⋊C4—24no—
536C4⋊C4—22no—
537C4⋊C4—22no—
538C4⋊C4—22no—
539C4⋊C4—22no—
540C4⋊C4—44no—
541C4⋊C4—44no—
542C4⋊C4—44no—
543C4⋊C4—42no—
544C4⋊C4—42no—
545C4⋊C4—42no—
546C4⋊C4—44no—
547C4⋊C4—42no—
548C4⋊C4—44no—
549C4⋊C4—44no—
550C4⋊C4—44no—
551C4⋊C4—44no—
552C4⋊C4—42no—
553C4⋊C4—81no—
554C4⋊C4—81no—
555C4⋊C4—82no—
556C4⋊C4—82no—
557C4⋊C4—82no—
558C4⋊C4#12314yes—
559C4⋊C4C22×D414yes—
560C4⋊C4C22×D412yes—
561C22⋊C4—24no—
562C22⋊C4—24no—
563C22⋊C4—24no—
564C22⋊C4—24no—
565C22⋊C4—48no—
566C22⋊C4—48no—
567C22⋊C4—44no—
568C22⋊C4—44no—
569C22⋊C4—44no—
570C22⋊C4—44no—
571C22⋊C4—44no—
572C22⋊C4—42no—
573C22⋊C4—82no—
574C22⋊C4—84no—
575C22⋊C4—84no—
576C22⋊C4—82no—
577C22⋊C4#12318yes—
578C42—22no—
579C42—22no—
580C42—22no—
581C42—48no—
582C42—48no—
583C42—44no—
584C42—42no—
585C42—44no—
586C42—42no—
587C42C2×#4114yes—
588C23—21no—
589C23—21no—
590C23—21no—
591C23—21no—
592C23—22no—
593C23—22no—
594C23—22no—
595C23—22no—
596C23—22no—
597C23—22no—
598C23—22no—
599C23—22no—
600C23—22no—
601C23—22no—
602C23—22no—
603C23—22no—
604C23—22no—
605C23—48no—
606C23—48no—
607C23—48no—
608C23—48no—
609C23—84no—
610C23—84no—
611C23—84no—
612C23C2×#12314yes—
613C23D4212yes—
614C23C2×#13712yes—
615C23#57712yes—
616C23C23×D411yescharacteristic
617Q8—24no—
618Q8—42no—
619Q8—44no—
620Q8—44no—
621Q8—88no—
622D4—28no—
623D4—48no—
624D4—44no—
625C2×C4—21no—
626C2×C4—21no—
627C2×C4—21no—
628C2×C4—22no—
629C2×C4—21no—
630C2×C4—22no—
631C2×C4—21no—
632C2×C4—21no—
633C2×C4—28no—
634C2×C4—28no—
635C2×C4—24no—
636C2×C4—24no—
637C2×C4—28no—
638C2×C4—21no—
639C2×C4—21no—
640C2×C4—22no—
641C2×C4—24no—
642C2×C4—22no—
643C2×C4—22no—
644C2×C4—22no—
645C2×C4—22no—
646C2×C4—21no—
647C2×C4—48no—
648C2×C4—44no—
649C2×C4—48no—
650C2×C4—48no—
651C2×C4—48no—
652C2×C4—41no—
653C2×C4—42no—
654C2×C4—41no—
655C2×C4—41no—
656C2×C4—42no—
657C2×C4—41no—
658C2×C4—44no—
659C2×C4—44no—
660C2×C4—41no—
661C2×C4—42no—
662C2×C4—41no—
663C2×C4—42no—
664C2×C4—44no—
665C2×C4—42no—
666C2×C4—42no—
667C2×C4—41no—
668C2×C4—42no—
669C2×C4—42no—
670C2×C4—44no—
671C2×C4—42no—
672C2×C4—41no—
673C2×C4—42no—
674C2×C4—41no—
675C2×C4—41no—
676C2×C4—42no—
677C2×C4—44no—
678C2×C4—88no—
679C2×C4—88no—
680C2×C4—84no—
681C2×C4—88no—
682C2×C4C2×#12312yes—
683C2×C4C2×#12314yes—
684C2×C4C2×#12312yes—
685C2×C4D4212yes—
686C2×C4C2×#13712yes—
687C2×C4C2×#13712yes—
688C2×C4#57512yes—
689C2×C4C23×D411yescharacteristic
690C2×C4C22×#4112yes—
691C2×C4C2×H(5,𝔽2)11yescharacteristic
692C2×C4#58512yes—
693C8—24no—
694C8—44no—
695C8—42no—
696C22—22no—
697C22—22no—
698C22—22no—
699C22—22no—
700C22—22no—
701C22—22no—
702C22—24no—
703C22—24no—
704C22—24no—
705C22—42no—
706C22—42no—
707C22—42no—
708C22—42no—
709C22—42no—
710C22—42no—
711C22—42no—
712C22—42no—
713C22—42no—
714C22—42no—
715C22—42no—
716C22—816no—
717C22#327814yes—
718C22C22×#12311yescharacteristic
719C22C2×D4211yescharacteristic
720C22#348511yescharacteristic
721C22C22×#13711yescharacteristic
722C22C2×#57511yescharacteristic
723C22C2×#57711yescharacteristic
724C22#358611yescharacteristic
725C4—22no—
726C4—22no—
727C4—22no—
728C4—24no—
729C4—41no—
730C4—44no—
731C4—42no—
732C4—42no—
733C4—42no—
734C4—81no—
735C4—82no—
736C4—81no—
737C4—84no—
738C4—82no—
739C4—82no—
740C4#309514yescomplemented
741C4D4×#4112yes—
742C4#351312yes—
743C2—24no—
744C2—44no—
745C2—82no—
746C2D4×#12311yescharacteristic
747C2C2×#309511yescharacteristic
748C2#6052211yescharacteristic
749C2C2×#327811yescharacteristic
750C2#6106711yescharacteristic
751C2#6172311yescharacteristic
752C2#6173111yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
prime radicalC23×D4D4
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×#3095C2semidirect
4. #33109C2semidirect
5. #32984C2semidirect
6. #27905C2semidirect
7. #27647C2semidirect
8. #26231C2semidirect
9. #26155C2semidirect
10. #25015C2semidirect
11. #24892C2semidirect
12. #24559C2semidirect
13. #24003C2semidirect
14. #22663C2semidirect
15. #22430C2semidirect
17. C4×#484C2semidirect
25. C2×#485C22semidirect
26. C2×#485C22semidirect
31. C2×#428C22semidirect
32. C2×#419C22semidirect
60. #2096C22semidirect
61. #2084C22semidirect
62. #2077C22semidirect
63. #2072C22semidirect
64. #2036C22semidirect
65. #2035C22semidirect
66. #2035C22semidirect
67. #1981C22semidirect
68. #1956C22semidirect
70. #1948C22semidirect
71. #1947C22semidirect
72. #1928C22semidirect
73. #1928C22semidirect
74. #1921C22semidirect
75. #1894C22semidirect
76. #1873C22semidirect
77. #1873C22semidirect
81. #1854C22semidirect
82. #1854C22semidirect
83. #1853C22semidirect
85. #1844C22semidirect
88. #1809C22semidirect
89. #1803C22semidirect
91. #1787C22semidirect
93. C4×#107C22semidirect
94. C4×#103C22semidirect
148. #484D4semidirect
390. #107C2×D4semidirect
401. #103C2×D4semidirect
740. C4#3095semidirect

Maximal subgroups

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

subgroupindex
C2×#30952
D4×C22⋊Q82
C2×#23542
#331092
#329842
#279052
#276472
#262312
#261552
#250152
#248922
#245592
#240032
#226632
#224302
#224012
C4×#4842