Finite Group Databasebeta

← #6792335

Subgroups — #6792335

Order 512.

2141 conjugacy classes of subgroups.

The subgroup lattice has 779 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1D4×C22⋊Q8C211yesmaximal, characteristic
2C2×#2538C211yesmaximal, characteristic
3#32906C211yesmaximal, characteristic, complemented
4#31388C214yesmaximal, complemented
5#30407C214yesmaximal, complemented
6#29895C212yesmaximal, complemented
7#28142C212yesmaximal, complemented
8#27972C211yesmaximal, characteristic, complemented
9#27681C211yesmaximal, characteristic, complemented
10#25386C212yesmaximal, complemented
11#24971C212yesmaximal, complemented
12#24380C212yesmaximal, complemented
13#24243C212yesmaximal, complemented
14#23921C212yesmaximal, complemented
15D4×C22⋊C8C211yesmaximal, characteristic
16#21759C212yesmaximal, complemented
17C4×#451C211yesmaximal, characteristic, complemented
18C2×D4×Q8C2211yescharacteristic
19C22×C22⋊Q8C2212yes—
20C22×C22⋊Q8C2212yes—
21C22×C4×Q8C2211yescharacteristic
22C22×C4×D4C2211yescharacteristic
23C2×#467C2214yescomplemented
24C2×#462C2212yescomplemented
25C2×#451C2211yescharacteristic
26C2×#451C2212yes—
27C2×#451C2214yescomplemented
28C2×C4×Q16C2212yescomplemented
29C2×C8×D4C2212yes—
30C22×C22⋊C8C2212yes—
31#2857C2211yescharacteristic
32#2848C2212yes—
33#2542C2211yescharacteristic
34#2538—21no—
35#2538—22no—
36#2538—21no—
37#2538C2212yes—
38#2538C2212yes—
39#2538C2214yes—
40#2538C2211yescharacteristic
41#2452—21no—
42#2449—22no—
43#2440—21no—
44#2437—22no—
45#2417C2212yes—
46#2409C2212yes—
47C2×#396—22no—
48D4×C4⋊C4—21no—
49D4×C4⋊C4C2211yescharacteristic
50D4×C22⋊C4—21no—
51C4×C22⋊Q8C2211yescharacteristic
52C2×#390—21no—
53C2×#389—21no—
54C2×#384C2211yescharacteristic
55C2×#380C2212yes—
56#2100C2212yescomplemented
57#2095C2212yescomplemented
58#2076C2214yescomplemented
59#2076C2214yescomplemented
60#2072C2214yescomplemented
61#2036C2214yescomplemented
62#2036C2214yescomplemented
63#2036C2214yescomplemented
64#2001C2214yescomplemented
65#2001C2214yescomplemented
66#2001C2214yescomplemented
67#1956C2212yescomplemented
68#1954C2212yes—
69#1947C2212yescomplemented
70#1892C2214yescomplemented
71#1892C2214yescomplemented
72#1892C2214yescomplemented
73#1878C2214yescomplemented
74#1878C2212yescomplemented
75#1872C2212yes—
76#1872C2212yes—
77#1872C2212yes—
78#1872C2212yes—
79#1872C2211yescharacteristic
80#1872C2214yescomplemented
81#1869C2214yes—
82#1863C2212yescomplemented
83#1852C2212yes—
84#1852C2211yescharacteristic
85#1834C2212yescomplemented
86#1824C2214yescomplemented
87#1803C2212yescomplemented
88#1803C2212yescomplemented
89#1797C2211yescharacteristic
90#1787C2211yescharacteristic
91#1787C2214yescomplemented
92#1779C2212yes—
93C4×#103C2212yescomplemented
94C4×C22⋊C8C2211yescharacteristic
95C23×Q8C2311yescharacteristic
96C23×Q8C2312yes—
97C23×D4D411yescharacteristic
98C24×C4C2312yes—
99C22×Q16C2312yes—
100C22×Q16C2314yes—
101C23×C8C2314yes—
102D4×Q8—44no—
103C2×C4⋊Q8—21no—
104C2×C4⋊Q8C2311yescharacteristic
105C2×C22⋊Q8—22no—
106C2×C22⋊Q8—22no—
107C2×C22⋊Q8—22no—
108C2×C22⋊Q8—22no—
109C2×C22⋊Q8—22no—
110C2×C22⋊Q8—28no—
111C2×C22⋊Q8—44no—
112C2×C22⋊Q8—48no—
113C2×C22⋊Q8C2312yes—
114C2×C22⋊Q8C2314yes—
115C2×C22⋊Q8C2312yes—
116C2×C22⋊Q8C2312yes—
117C2×C22⋊Q8C2314yes—
118C2×C22⋊Q8C2311yescharacteristic
119C2×C22⋊Q8C2312yes—
120C2×C22⋊Q8C2312yes—
121C2×C4×Q8—21no—
122C2×C4×Q8—21no—
123C2×C4×Q8—44no—
124C2×C4×Q8C2311yescharacteristic
125C2×C4×Q8C2312yes—
126C2×C4×Q8C2312yes—
127C2×C4×D4—21no—
128C2×C4×D4—21no—
129C2×C4×D4—44no—
130C2×C4×D4D411yescharacteristic
131C2×C4×D4D412yes—
132C2×C4×D4D411yescharacteristic
133C2×C4×D4C2311yescharacteristic
134C2×C4×D4C2311yescharacteristic
135C2×C4×D4C2312yes—
136C22×C4⋊C4—22no—
137C22×C4⋊C4—21no—
138C22×C4⋊C4—22no—
139C22×C4⋊C4—21no—
140C22×C4⋊C4—21no—
141C22×C4⋊C4D411yescharacteristic
142C22×C4⋊C4C2312yes—
143C22×C4⋊C4C2311yescharacteristic
144C22×C4⋊C4C2312yes—
145C22×C22⋊C4—22no—
146C22×C22⋊C4—22no—
147C22×C22⋊C4—22no—
148C22×C22⋊C4D412yes—
149C22×C42—21no—
150C22×C42C2311yescharacteristic
151#467—48no—
152#462—44no—
153#451—24no—
154#451—44no—
155#451—48no—
156C4×Q16—44no—
157C8×D4—44no—
158C2×#107C2312yes—
159C2×#107C2314yes—
160C2×C4⋊C8C2312yes—
161C2×#103C2312yes—
162C2×#103C2312yes—
163C2×#103C2314yes—
164C2×#103C2314yes—
165C2×#103C2314yes—
166C2×#103C2314yes—
167C2×#103C2312yes—
168C2×#103C2312yes—
169C2×#103C2314yes—
170C2×C22⋊C8—44no—
171C2×C22⋊C8C2312yes—
172C2×C22⋊C8C2311yescharacteristic
173C2×C22⋊C8C2311yescharacteristic
174C2×C22⋊C8C2314yes—
175C2×C22⋊C8C2314yes—
176C2×C22⋊C8C2314yes—
177C2×C4×C8C2312yes—
178#399—22no—
179#398—22no—
180#396—24no—
181#396—24no—
182#396—24no—
183#396—24no—
184#396—22no—
185#396—22no—
186#395—22no—
187#393—22no—
188#391C2312yes—
189#391C2311yescharacteristic
190#390—21no—
191#390—21no—
192#390—22no—
193#390—22no—
194#390—24no—
195#389—21no—
196#389—21no—
197#389—22no—
198#389—22no—
199#389—24no—
200#389—21no—
201#389—21no—
202#389C2311yescharacteristic
203#387—21no—
204#386—22no—
205#386—22no—
206#385—22no—
207#385—22no—
208#385—22no—
209#385—21no—
210#385—22no—
211#385—22no—
212#384—21no—
213#384—21no—
214#384—21no—
215#384C2311yescharacteristic
216#384C2312yes—
217#384C2312yes—
218#380—21no—
219#380—21no—
220#380—22no—
221#380—22no—
222#380—22no—
223#380C2312yes—
224#380C2312yes—
225#380C2314yes—
226#380C2314yes—
227#380C2311yescharacteristic
228#379—22no—
229C4×C4⋊C4—21no—
230C4×C4⋊C4C2311yescharacteristic
231C4×C22⋊C4—21no—
232C2×#95—22no—
233#340C2314yes—
234#340C2314yes—
235#340C2314yes—
236#340C2314yes—
237#340C2312yes—
238#340C2312yes—
239#340C2314yes—
240#336C2312yes—
241#336C2312yes—
242C25C2×D412yes—
243C22×Q8—24no—
244C22×Q8—21no—
245C22×Q8—22no—
246C22×Q8—24no—
247C22×Q8—22no—
248C22×Q8—22no—
249C22×Q8—42no—
250C22×Q8—42no—
251C22×Q8—44no—
252C22×Q8—44no—
253C22×Q8C2412yes—
254C22×Q8C2411yescharacteristic
255C22×Q8C2412yes—
256C22×D4—42no—
257C22×D4—42no—
258C22×D4Q1618yescomplemented
259C22×D4C2×D411yescharacteristic
260C22×D4C2×D411yescharacteristic
261C22×D4C2×D412yes—
262C23×C4—21no—
263C23×C4—24no—
264C23×C4—24no—
265C23×C4—22no—
266C23×C4—21no—
267C23×C4—22no—
268C23×C4—22no—
269C23×C4—44no—
270C23×C4—44no—
271C23×C4C2×D411yescharacteristic
272C23×C4C2×D411yescharacteristic
273C23×C4C2×D412yes—
274C23×C4C2×D412yes—
275C23×C4C2×D412yes—
276C23×C4C2412yes—
277C23×C4C2412yes—
278C23×C4C2411yescharacteristic
279C2×Q16—24no—
280C2×Q16—24no—
281C2×Q16—28no—
282C2×Q16—42no—
283C2×Q16—44no—
284C2×Q16—44no—
285C22×C8—44no—
286C22×C8—44no—
287C22×C8—44no—
288C22×C8C2412yes—
289C22×C8C2414yes—
290C22×C8C2412yes—
291C4⋊Q8—24no—
292C4⋊Q8—44no—
293C22⋊Q8—22no—
294C22⋊Q8—24no—
295C22⋊Q8—28no—
296C22⋊Q8—28no—
297C22⋊Q8—24no—
298C22⋊Q8—24no—
299C22⋊Q8—24no—
300C22⋊Q8—48no—
301C22⋊Q8—48no—
302C22⋊Q8—42no—
303C22⋊Q8—44no—
304C22⋊Q8—42no—
305C22⋊Q8—44no—
306C22⋊Q8—44no—
307C22⋊Q8—48no—
308C22⋊Q8—48no—
309C22⋊Q8—48no—
310C22⋊Q8—44no—
311C22⋊Q8#4114yes—
312C4×Q8—24no—
313C4×Q8—24no—
314C4×Q8—24no—
315C4×Q8—42no—
316C4×Q8—42no—
317C4×Q8—44no—
318C4×Q8—44no—
319C4×D4—24no—
320C4×D4—24no—
321C4×D4—44no—
322C4×D4—42no—
323C4×D4—42no—
324C4×D4—44no—
325C4×D4—44no—
326C4×D4—44no—
327C2×C4⋊C4—21no—
328C2×C4⋊C4—24no—
329C2×C4⋊C4—22no—
330C2×C4⋊C4—22no—
331C2×C4⋊C4—22no—
332C2×C4⋊C4—22no—
333C2×C4⋊C4—22no—
334C2×C4⋊C4—24no—
335C2×C4⋊C4—24no—
336C2×C4⋊C4—22no—
337C2×C4⋊C4—22no—
338C2×C4⋊C4—21no—
339C2×C4⋊C4—22no—
340C2×C4⋊C4—22no—
341C2×C4⋊C4—21no—
342C2×C4⋊C4—21no—
343C2×C4⋊C4—21no—
344C2×C4⋊C4—21no—
345C2×C4⋊C4—22no—
346C2×C4⋊C4—22no—
347C2×C4⋊C4—22no—
348C2×C4⋊C4—22no—
349C2×C4⋊C4—21no—
350C2×C4⋊C4—21no—
351C2×C4⋊C4—42no—
352C2×C4⋊C4—42no—
353C2×C4⋊C4—42no—
354C2×C4⋊C4—44no—
355C2×C4⋊C4—48no—
356C2×C4⋊C4—44no—
357C2×C4⋊C4—44no—
358C2×C4⋊C4—48no—
359C2×C4⋊C4—82no—
360C2×C4⋊C4C2×D411yescharacteristic
361C2×C4⋊C4C2×D411yescharacteristic
362C2×C4⋊C4C2×D412yes—
363C2×C4⋊C4C2412yes—
364C2×C4⋊C4C2412yes—
365C2×C4⋊C4C2414yes—
366C2×C4⋊C4C2411yescharacteristic
367C2×C4⋊C4C2411yescharacteristic
368C2×C4⋊C4C2411yescharacteristic
369C2×C22⋊C4—21no—
370C2×C22⋊C4—22no—
371C2×C22⋊C4—22no—
372C2×C22⋊C4—22no—
373C2×C22⋊C4—24no—
374C2×C22⋊C4—24no—
375C2×C22⋊C4—22no—
376C2×C22⋊C4—22no—
377C2×C22⋊C4—21no—
378C2×C22⋊C4—24no—
379C2×C22⋊C4—24no—
380C2×C22⋊C4—22no—
381C2×C22⋊C4—22no—
382C2×C22⋊C4—44no—
383C2×C22⋊C4—48no—
384C2×C22⋊C4—48no—
385C2×C22⋊C4—84no—
386C2×C22⋊C4C2×D412yes—
387C2×C22⋊C4C2×D412yes—
388C2×C22⋊C4C2×D412yes—
389C2×C22⋊C4C2×D412yes—
390C2×C42—24no—
391C2×C42—21no—
392C2×C42—21no—
393C2×C42—22no—
394C2×C42—22no—
395C2×C42—44no—
396C2×C42C2×D411yescharacteristic
397C2×C42C2×D411yescharacteristic
398C2×C42C2411yescharacteristic
399C2×C42C2411yescharacteristic
400#107—42no—
401#107—44no—
402C4⋊C8—24no—
403#103—24no—
404#103—24no—
405#103—42no—
406#103—42no—
407#103—44no—
408#103—44no—
409#103—44no—
410#103—44no—
411#103—44no—
412C22⋊C8—22no—
413C22⋊C8—22no—
414C22⋊C8—24no—
415C22⋊C8—44no—
416C22⋊C8—44no—
417C22⋊C8—44no—
418C4×C8—24no—
419#95—24no—
420#95—24no—
421#95—21no—
422#95—21no—
423#95—21no—
424#95—21no—
425#95—21no—
426#95—22no—
427#95—22no—
428#95—22no—
429#95—22no—
430C24—24no—
431C24—24no—
432C24—42no—
433C24—42no—
434C24—42no—
435C24—42no—
436C24C2×Q1618yes—
437C24C22×D412yes—
438C24C22×D412yes—
439C24C22×D411yescharacteristic
440C2×Q8—24no—
441C2×Q8—21no—
442C2×Q8—22no—
443C2×Q8—22no—
444C2×Q8—22no—
445C2×Q8—22no—
446C2×Q8—22no—
447C2×Q8—22no—
448C2×Q8—22no—
449C2×Q8—22no—
450C2×Q8—24no—
451C2×Q8—24no—
452C2×Q8—22no—
453C2×Q8—44no—
454C2×Q8—48no—
455C2×Q8—48no—
456C2×Q8—42no—
457C2×Q8—44no—
458C2×Q8—42no—
459C2×Q8—82no—
460C2×Q8—88no—
461C2×Q8—88no—
462C2×Q8C2×#4112yes—
463C2×Q8H(5,𝔽2)14yes—
464C2×D4—22no—
465C2×D4—22no—
466C2×D4—22no—
467C2×D4—22no—
468C2×D4—416no—
469C2×D4—42no—
470C2×D4—42no—
471C2×D4C2×Q1614yes—
472C2×D4C2×Q1614yes—
473C2×D4C2×Q1618yes—
474C22×C4—22no—
475C22×C4—22no—
476C22×C4—22no—
477C22×C4—22no—
478C22×C4—24no—
479C22×C4—22no—
480C22×C4—21no—
481C22×C4—21no—
482C22×C4—22no—
483C22×C4—24no—
484C22×C4—22no—
485C22×C4—22no—
486C22×C4—22no—
487C22×C4—22no—
488C22×C4—24no—
489C22×C4—24no—
490C22×C4—24no—
491C22×C4—24no—
492C22×C4—22no—
493C22×C4—24no—
494C22×C4—24no—
495C22×C4—21no—
496C22×C4—22no—
497C22×C4—21no—
498C22×C4—22no—
499C22×C4—24no—
500C22×C4—22no—
501C22×C4—41no—
502C22×C4—42no—
503C22×C4—42no—
504C22×C4—42no—
505C22×C4—42no—
506C22×C4—42no—
507C22×C4—42no—
508C22×C4—44no—
509C22×C4—44no—
510C22×C4—42no—
511C22×C4—42no—
512C22×C4—42no—
513C22×C4—44no—
514C22×C4—44no—
515C22×C4—44no—
516C22×C4—44no—
517C22×C4—42no—
518C22×C4—42no—
519C22×C4—44no—
520C22×C4—88no—
521C22×C4—88no—
522C22×C4—82no—
523C22×C4—82no—
524C22×C4C2×Q1614yes—
525C22×C4C22×D411yescharacteristic
526C22×C4C22×D412yes—
527C22×C4C22×D412yes—
528C22×C4C22×D411yescharacteristic
529C22×C4C22×D411yescharacteristic
530C22×C4C22×D411yescharacteristic
531C22×C4C22×D411yescharacteristic
532C22×C4C2×#4112yes—
533C22×C4H(5,𝔽2)12yes—
534C22×C4C2511yescharacteristic
535Q16—48no—
536Q16—88no—
537C2×C8—22no—
538C2×C8—22no—
539C2×C8—22no—
540C2×C8—22no—
541C2×C8—24no—
542C2×C8—22no—
543C2×C8—24no—
544C2×C8—24no—
545C2×C8—22no—
546C2×C8—88no—
547C4⋊C4—22no—
548C4⋊C4—22no—
549C4⋊C4—24no—
550C4⋊C4—21no—
551C4⋊C4—22no—
552C4⋊C4—22no—
553C4⋊C4—22no—
554C4⋊C4—22no—
555C4⋊C4—24no—
556C4⋊C4—22no—
557C4⋊C4—24no—
558C4⋊C4—22no—
559C4⋊C4—42no—
560C4⋊C4—44no—
561C4⋊C4—44no—
562C4⋊C4—44no—
563C4⋊C4—48no—
564C4⋊C4—48no—
565C4⋊C4—44no—
566C4⋊C4—42no—
567C4⋊C4—44no—
568C4⋊C4—44no—
569C4⋊C4—44no—
570C4⋊C4—44no—
571C4⋊C4—42no—
572C4⋊C4—42no—
573C4⋊C4—42no—
574C4⋊C4—44no—
575C4⋊C4—44no—
576C4⋊C4—42no—
577C4⋊C4—81no—
578C4⋊C4—81no—
579C4⋊C4—82no—
580C4⋊C4—82no—
581C4⋊C4—82no—
582C4⋊C4C2×#4112yes—
583C22⋊C4—24no—
584C22⋊C4—24no—
585C22⋊C4—24no—
586C22⋊C4—42no—
587C22⋊C4—42no—
588C22⋊C4—44no—
589C22⋊C4—44no—
590C22⋊C4—48no—
591C22⋊C4—48no—
592C22⋊C4—44no—
593C22⋊C4—44no—
594C22⋊C4—44no—
595C22⋊C4—42no—
596C22⋊C4—82no—
597C22⋊C4—84no—
598C22⋊C4—84no—
599C22⋊C4—82no—
600C42—22no—
601C42—22no—
602C42—22no—
603C42—44no—
604C42—44no—
605C42—42no—
606C42—42no—
607C42H(5,𝔽2)14yes—
608C23—21no—
609C23—21no—
610C23—21no—
611C23—21no—
612C23—22no—
613C23—22no—
614C23—22no—
615C23—22no—
616C23—22no—
617C23—22no—
618C23—22no—
619C23—22no—
620C23—22no—
621C23—22no—
622C23—22no—
623C23—22no—
624C23—216no—
625C23—48no—
626C23—48no—
627C23—84no—
628C23—84no—
629C23—84no—
630C23—84no—
631C23#54612yes—
632C23C22×Q1614yes—
633C23C22×Q1614yes—
634C23C22×Q1612yes—
635C23#57712yes—
636C23C23×D411yescharacteristic
637Q8—24no—
638Q8—24no—
639Q8—24no—
640Q8—48no—
641Q8—42no—
642Q8—42no—
643Q8—42no—
644Q8—44no—
645Q8—44no—
646Q8—88no—
647D4—28no—
648D4—28no—
649D4—48no—
650C2×C4—21no—
651C2×C4—21no—
652C2×C4—21no—
653C2×C4—21no—
654C2×C4—21no—
655C2×C4—21no—
656C2×C4—28no—
657C2×C4—24no—
658C2×C4—24no—
659C2×C4—21no—
660C2×C4—21no—
661C2×C4—22no—
662C2×C4—22no—
663C2×C4—22no—
664C2×C4—22no—
665C2×C4—22no—
666C2×C4—22no—
667C2×C4—24no—
668C2×C4—22no—
669C2×C4—22no—
670C2×C4—21no—
671C2×C4—44no—
672C2×C4—48no—
673C2×C4—41no—
674C2×C4—42no—
675C2×C4—41no—
676C2×C4—42no—
677C2×C4—41no—
678C2×C4—41no—
679C2×C4—44no—
680C2×C4—44no—
681C2×C4—44no—
682C2×C4—44no—
683C2×C4—41no—
684C2×C4—42no—
685C2×C4—42no—
686C2×C4—42no—
687C2×C4—41no—
688C2×C4—42no—
689C2×C4—42no—
690C2×C4—42no—
691C2×C4—44no—
692C2×C4—41no—
693C2×C4—42no—
694C2×C4—41no—
695C2×C4—42no—
696C2×C4—44no—
697C2×C4—41no—
698C2×C4—41no—
699C2×C4—42no—
700C2×C4—44no—
701C2×C4—84no—
702C2×C4—84no—
703C2×C4—84no—
704C2×C4—88no—
705C2×C4—88no—
706C2×C4—84no—
707C2×C4—88no—
708C2×C4#53412yes—
709C2×C4#53412yes—
710C2×C4#54612yes—
711C2×C4C22×Q1612yes—
712C2×C4C22×Q1612yes—
713C2×C4#57512yes—
714C2×C4C22×#4111yescharacteristic
715C2×C4C2×H(5,𝔽2)12yes—
716C2×C4C2×H(5,𝔽2)12yes—
717C2×C4C2×H(5,𝔽2)11yescharacteristic
718C8—42no—
719C8—42no—
720C8—44no—
721C22—22no—
722C22—22no—
723C22—22no—
724C22—22no—
725C22—22no—
726C22—22no—
727C22—24no—
728C22—24no—
729C22—24no—
730C22—24no—
731C22—24no—
732C22—24no—
733C22—42no—
734C22—42no—
735C22—42no—
736C22—42no—
737C22—42no—
738C22—42no—
739C22—42no—
740C22—42no—
741C22—816no—
742C22#329914yes—
743C22C2×#53411yescharacteristic
744C22C2×#54611yescharacteristic
745C22#348411yescharacteristic
746C22C23×Q1611yescharacteristic
747C22C2×#57511yescharacteristic
748C22C2×#57711yescharacteristic
749C22#358611yescharacteristic
750C4—22no—
751C4—22no—
752C4—22no—
753C4—41no—
754C4—42no—
755C4—42no—
756C4—42no—
757C4—44no—
758C4—42no—
759C4—81no—
760C4—82no—
761C4—81no—
762C4—84no—
763C4—82no—
764C4—82no—
765C4#318914yes—
766C4#351912yes—
767C4#353712yes—
768C2—24no—
769C2—44no—
770C2—44no—
771C2#3890411yescharacteristic
772C2C2×#318911yescharacteristic
773C2#6076311yescharacteristic
774C2C2×#329911yescharacteristic
775C2#6116511yescharacteristic
776C2#6156311yescharacteristic
777C2#6159611yescharacteristic
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
3. #32906C2semidirect
4. #31388C2semidirect
5. #30407C2semidirect
6. #29895C2semidirect
7. #28142C2semidirect
8. #27972C2semidirect
9. #27681C2semidirect
10. #25386C2semidirect
11. #24971C2semidirect
12. #24380C2semidirect
13. #24243C2semidirect
14. #23921C2semidirect
16. #21759C2semidirect
17. C4×#451C2semidirect
23. C2×#467C22semidirect
24. C2×#462C22semidirect
27. C2×#451C22semidirect
28. C2×C4×Q16C22semidirect
56. #2100C22semidirect
57. #2095C22semidirect
58. #2076C22semidirect
59. #2076C22semidirect
60. #2072C22semidirect
61. #2036C22semidirect
62. #2036C22semidirect
63. #2036C22semidirect
64. #2001C22semidirect
65. #2001C22semidirect
66. #2001C22semidirect
67. #1956C22semidirect
69. #1947C22semidirect
70. #1892C22semidirect
71. #1892C22semidirect
72. #1892C22semidirect
73. #1878C22semidirect
74. #1878C22semidirect
80. #1872C22semidirect
82. #1863C22semidirect
85. #1834C22semidirect
86. #1824C22semidirect
87. #1803C22semidirect
88. #1803C22semidirect
91. #1787C22semidirect
93. C4×#103C22semidirect
258. C22×D4Q16semidirect

Maximal subgroups

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

subgroupindex
D4×C22⋊Q82
C2×#25382
#329062
#313882
#304072
#298952
#281422
#279722
#276812
#253862
#249712
#243802
#242432
#239212
D4×C22⋊C82
#217592
C4×#4512