Finite Group Databasebeta

← #729331

Subgroups — #729331

Order 512.

3496 conjugacy classes of subgroups.

The subgroup lattice has 796 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#2487C211yesmaximal, characteristic, complemented
2C22×#399C211yesmaximal, characteristic, complemented
3C2×#2345C211yesmaximal, characteristic, complemented
4C2×#2321C211yesmaximal, characteristic
5#17039C212yesmaximal, complemented
6#16811C212yesmaximal, complemented
7#15408C214yesmaximal, complemented
8#15380C214yesmaximal, complemented
9#15175C212yesmaximal, complemented
10#15084C212yesmaximal, complemented
11#14728C212yesmaximal, complemented
12#14725C212yesmaximal
13#14338C211yesmaximal, characteristic, complemented
14#14019C212yesmaximal, complemented
15#13971C212yesmaximal, complemented
16#13966C211yesmaximal, characteristic, complemented
17#13960C211yesmaximal, characteristic, complemented
18C22×#120C2211yescharacteristic
19C22×C4×D4C2211yescharacteristic
20C23×C4⋊C4C2211yescharacteristic
21C23×C4⋊C4C2212yes—
22C23×C22⋊C4C2211yescharacteristic
23C23×C22⋊C4C2212yes—
24#2487—28no—
25C2×#400C2211yescharacteristic, complemented
26C2×#400C2211yescharacteristic, complemented
27C2×#399—28no—
28C2×#399C2214yes—
29C2×#399C2212yes—
30C2×#399C2212yes—
31C2×#399C2211yescharacteristic, complemented
32C2×#399C2211yescharacteristic, complemented
33C2×#398C2214yescomplemented
34C2×#394C2214yes—
35#2345—28no—
36#2321—28no—
37C2×#390C2212yes—
38C2×#389C2212yescomplemented
39C2×#389C2212yescomplemented
40C2×#388C2212yes—
41C2×#388C2212yes—
42C2×#388C2214yes—
43C2×#388C2214yescomplemented
44C2×#387C2214yescomplemented
45C2×#386C2212yes—
46C2×#386C2211yescharacteristic
47C2×#386C2212yes—
48C2×#386C2212yes—
49C2×#385C2211yescharacteristic
50C2×#385C2212yes—
51C2×#380C2211yescharacteristic
52C2×#380C2211yescharacteristic
53C2×#380C2212yes—
54C2×#380C2212yescomplemented
55C2×#379C2212yes—
56C2×#379C2211yescharacteristic
57C2×C4×C4⋊C4C2212yescomplemented
58C2×C4×C22⋊C4C2212yes—
59C2×C4×C22⋊C4C2211yescharacteristic
60C22×#95C2211yescharacteristic
61#1444C2214yescomplemented
62#1442C2214yescomplemented
63#1442C2214yescomplemented
64#1442C2214yescomplemented
65#1441C2214yescomplemented
66#1441C2212yescomplemented
67#1440C2214yes—
68#1440C2214yes—
69#1439C2214yes—
70#1439C2212yes—
71#1439C2212yes—
72#1439C2214yes—
73#1439C2214yes—
74#1439C2214yescomplemented
75#1439C2212yescomplemented
76#1438C2214yes—
77#1437C2214yes—
78#1436C2214yescomplemented
79#1434C2212yescomplemented
80#1434C2212yescomplemented
81#1434C2212yescomplemented
82C22⋊#95C2212yes—
83C22⋊#95C2212yes—
84C22⋊#95C2212yes—
85C22⋊#95C2212yes—
86C22⋊#95C2212yescomplemented
87C26C2311yescharacteristic
88C23×D4C2311yescharacteristic
89C23×D4C2312yes—
90C24×C4C2312yes—
91C24×C4C2311yescharacteristic
92C24×C4C2311yescharacteristic
93C24×C4C2312yes—
94C24×C4C2311yescharacteristic
95C2×#120—24no—
96C2×#120—24no—
97C2×#120—24no—
98C2×C4×D4—24no—
99C2×C4×D4—24no—
100C2×C4×D4—24no—
101C22×C4⋊C4—24no—
102C22×C4⋊C4—24no—
103C22×C4⋊C4—28no—
104C22×C4⋊C4—48no—
105C22×C4⋊C4D418yescomplemented
106C22×C4⋊C4C2311yescharacteristic
107C22×C4⋊C4C2314yes—
108C22×C4⋊C4C2314yes—
109C22×C4⋊C4C2311yescharacteristic
110C22×C4⋊C4C2311yescharacteristic
111C22×C4⋊C4C2312yes—
112C22×C4⋊C4C2314yes—
113C22×C4⋊C4C2312yes—
114C22×C4⋊C4C2312yes—
115C22×C4⋊C4C2312yes—
116C22×C4⋊C4C2312yes—
117C22×C4⋊C4C2312yes—
118C22×C22⋊C4—24no—
119C22×C22⋊C4—28no—
120C22×C22⋊C4—24no—
121C22×C22⋊C4—24no—
122C22×C22⋊C4—48no—
123C22×C22⋊C4C2312yes—
124C22×C22⋊C4C2312yes—
125C22×C22⋊C4C2311yescharacteristic
126C22×C22⋊C4C2311yescharacteristic
127C22×C22⋊C4C2312yes—
128C22×C22⋊C4C2312yes—
129C22×C22⋊C4C2312yes—
130C22×C22⋊C4C2314yes—
131C22×C22⋊C4C2314yes—
132C22×C22⋊C4C2314yes—
133C22×C22⋊C4C2311yescharacteristic
134C22×C22⋊C4C2311yescharacteristic
135C22×C22⋊C4C2312yes—
136C22×C22⋊C4C2314yes—
137C22×C22⋊C4C2312yes—
138C22×C22⋊C4C2312yes—
139C22×C22⋊C4C2314yes—
140C22×C22⋊C4C2312yes—
141C22×C22⋊C4C2312yes—
142C22×C42C2311yescharacteristic
143C22×C42C2314yes—
144C22×C42C2312yes—
145#400—24no—
146#400—24no—
147#399—216no—
148#399—28no—
149#399—28no—
150#399—24no—
151#399—24no—
152#398—48no—
153#394—48no—
154#390—28no—
155#389—28no—
156#389—28no—
157#388—28no—
158#388—28no—
159#388—48no—
160#388—48no—
161#387—216no—
162#386—28no—
163#386—28no—
164#386—24no—
165#386—28no—
166#385—28no—
167#385—24no—
168#380—24no—
169#380—24no—
170#380—28no—
171#380—28no—
172#379—28no—
173#379—24no—
174C4×C4⋊C4—28no—
175C4×C22⋊C4—28no—
176C4×C22⋊C4D418yes—
177C2×#95—24no—
178C2×#95C2314yes—
179C2×#95C2314yes—
180C2×#95C2312yes—
181C2×#95C2312yes—
182C2×#95C2311yescharacteristic
183C2×#95C2311yescharacteristic
184C2×#95C2312yes—
185C2×#95C2312yes—
186C2×#95C2312yes—
187C2×#95C2312yes—
188C2×#95C2314yes—
189C2×#95C2312yes—
190C2×#95C2314yes—
191C2×#95C2312yes—
192C2×#95C2314yes—
193C2×#95C2314yes—
194C2×#95C2312yes—
195C2×#95C2314yes—
196C2×#95C2314yes—
197C2×#95C2314yes—
198C2×#95C2314yes—
199C2×#95C2314yes—
200C2×#95C2312yes—
201C25—22no—
202C25—22no—
203C25—22no—
204C25—22no—
205C25—22no—
206C25—22no—
207C25—44no—
208C25—44no—
209C25#4114yes—
210C25C2412yes—
211C25C2411yescharacteristic
212C25C2411yescharacteristic
213C22×D4—22no—
214C22×D4—22no—
215C22×D4—22no—
216C22×D4—22no—
217C22×D4—22no—
218C22×D4—22no—
219C22×D4—24no—
220C22×D4—24no—
221C22×D4—24no—
222C22×D4—44no—
223C22×D4—44no—
224C22×D4#4114yes—
225C23×C4—24no—
226C23×C4—24no—
227C23×C4—24no—
228C23×C4—28no—
229C23×C4—22no—
230C23×C4—24no—
231C23×C4—24no—
232C23×C4—22no—
233C23×C4—22no—
234C23×C4—22no—
235C23×C4—22no—
236C23×C4—22no—
237C23×C4—44no—
238C23×C4—44no—
239C23×C4—44no—
240C23×C4—44no—
241C23×C4—44no—
242C23×C4—44no—
243C23×C4C2×D418yes—
244C23×C4C2×D414yes—
245C23×C4C2×D414yes—
246C23×C4#4114yes—
247C23×C4C2411yescharacteristic
248C23×C4C2412yes—
249C23×C4C2412yes—
250C23×C4C2414yes—
251C23×C4C2412yes—
252C23×C4C2411yescharacteristic
253C23×C4C2412yes—
254C23×C4C2412yes—
255C23×C4C2412yes—
256C23×C4C2412yes—
257C23×C4C2411yescharacteristic
258C23×C4C2414yes—
259C23×C4C2411yescharacteristic
260C23×C4C2411yescharacteristic
261#120—232no—
262C4×D4—416no—
263C2×C4⋊C4—232no—
264C2×C4⋊C4—22no—
265C2×C4⋊C4—24no—
266C2×C4⋊C4—22no—
267C2×C4⋊C4—24no—
268C2×C4⋊C4—22no—
269C2×C4⋊C4—22no—
270C2×C4⋊C4—28no—
271C2×C4⋊C4—28no—
272C2×C4⋊C4—22no—
273C2×C4⋊C4—22no—
274C2×C4⋊C4—24no—
275C2×C4⋊C4—24no—
276C2×C4⋊C4—22no—
277C2×C4⋊C4—28no—
278C2×C4⋊C4—28no—
279C2×C4⋊C4—28no—
280C2×C4⋊C4—24no—
281C2×C4⋊C4—24no—
282C2×C4⋊C4—24no—
283C2×C4⋊C4—44no—
284C2×C4⋊C4—44no—
285C2×C4⋊C4—44no—
286C2×C4⋊C4—44no—
287C2×C4⋊C4—432no—
288C2×C4⋊C4—44no—
289C2×C4⋊C4—44no—
290C2×C4⋊C4—44no—
291C2×C4⋊C4—44no—
292C2×C4⋊C4—44no—
293C2×C4⋊C4C2×D418yes—
294C2×C4⋊C4C2×D414yes—
295C2×C4⋊C4C2×D414yes—
296C2×C22⋊C4—24no—
297C2×C22⋊C4—22no—
298C2×C22⋊C4—22no—
299C2×C22⋊C4—22no—
300C2×C22⋊C4—22no—
301C2×C22⋊C4—24no—
302C2×C22⋊C4—24no—
303C2×C22⋊C4—22no—
304C2×C22⋊C4—22no—
305C2×C22⋊C4—24no—
306C2×C22⋊C4—24no—
307C2×C22⋊C4—22no—
308C2×C22⋊C4—28no—
309C2×C22⋊C4—24no—
310C2×C22⋊C4—24no—
311C2×C22⋊C4—28no—
312C2×C22⋊C4—24no—
313C2×C22⋊C4—24no—
314C2×C22⋊C4—24no—
315C2×C22⋊C4—24no—
316C2×C22⋊C4—28no—
317C2×C22⋊C4—28no—
318C2×C22⋊C4—24no—
319C2×C22⋊C4—24no—
320C2×C22⋊C4—22no—
321C2×C22⋊C4—22no—
322C2×C22⋊C4—24no—
323C2×C22⋊C4—24no—
324C2×C22⋊C4—22no—
325C2×C22⋊C4—28no—
326C2×C22⋊C4—28no—
327C2×C22⋊C4—28no—
328C2×C22⋊C4—28no—
329C2×C22⋊C4—24no—
330C2×C22⋊C4—24no—
331C2×C22⋊C4—24no—
332C2×C22⋊C4—24no—
333C2×C22⋊C4—24no—
334C2×C22⋊C4—44no—
335C2×C22⋊C4—44no—
336C2×C22⋊C4—44no—
337C2×C22⋊C4—44no—
338C2×C22⋊C4—44no—
339C2×C22⋊C4—432no—
340C2×C22⋊C4—416no—
341C2×C22⋊C4—44no—
342C2×C22⋊C4—44no—
343C2×C22⋊C4—44no—
344C2×C22⋊C4—44no—
345C2×C22⋊C4—44no—
346C2×C22⋊C4—44no—
347C2×C22⋊C4—44no—
348C2×C22⋊C4C2×D414yes—
349C2×C22⋊C4C2×D414yes—
350C2×C42—22no—
351C2×C42—22no—
352C2×C42—22no—
353C2×C42—28no—
354C2×C42—44no—
355C2×C42—44no—
356C2×C42—44no—
357C2×C42C2×D418yes—
358#95—24no—
359#95—24no—
360#95—28no—
361#95—28no—
362#95—24no—
363#95—24no—
364#95—24no—
365#95—22no—
366#95—22no—
367#95—24no—
368#95—24no—
369#95—24no—
370#95—24no—
371#95—28no—
372#95—28no—
373#95—28no—
374#95—28no—
375#95—44no—
376#95—44no—
377#95—44no—
378#95—44no—
379#95—44no—
380#95C2×D418yes—
381C24—24no—
382C24—24no—
383C24—28no—
384C24—22no—
385C24—21no—
386C24—22no—
387C24—21no—
388C24—22no—
389C24—21no—
390C24—22no—
391C24—21no—
392C24—24no—
393C24—24no—
394C24—24no—
395C24—21no—
396C24—21no—
397C24—22no—
398C24—22no—
399C24—24no—
400C24—24no—
401C24—24no—
402C24—28no—
403C24—28no—
404C24—416no—
405C24—48no—
406C24—48no—
407C24—416no—
408C24—44no—
409C24—44no—
410C24—44no—
411C24—44no—
412C24—84no—
413C24—84no—
414C24—84no—
415C24—84no—
416C24—88no—
417C24—88no—
418C24C22×D412yes—
419C24C22×D412yes—
420C24C2×#4114yes—
421C24C2×#4112yes—
422C24C2×#4112yes—
423C24C2×#4112yes—
424C24C2×#4112yes—
425C242−1+412yes—
426C242−1+412yes—
427C24C2511yescharacteristic
428C2×D4—28no—
429C2×D4—28no—
430C2×D4—28no—
431C2×D4—216no—
432C2×D4—44no—
433C2×D4—44no—
434C2×D4—44no—
435C2×D4—44no—
436C2×D4—84no—
437C2×D4—84no—
438C2×D4—88no—
439C2×D4—88no—
440C22×C4—24no—
441C22×C4—24no—
442C22×C4—216no—
443C22×C4—21no—
444C22×C4—22no—
445C22×C4—21no—
446C22×C4—24no—
447C22×C4—22no—
448C22×C4—24no—
449C22×C4—21no—
450C22×C4—22no—
451C22×C4—22no—
452C22×C4—21no—
453C22×C4—22no—
454C22×C4—22no—
455C22×C4—24no—
456C22×C4—24no—
457C22×C4—24no—
458C22×C4—24no—
459C22×C4—24no—
460C22×C4—24no—
461C22×C4—24no—
462C22×C4—22no—
463C22×C4—22no—
464C22×C4—24no—
465C22×C4—21no—
466C22×C4—21no—
467C22×C4—24no—
468C22×C4—24no—
469C22×C4—24no—
470C22×C4—24no—
471C22×C4—216no—
472C22×C4—21no—
473C22×C4—24no—
474C22×C4—22no—
475C22×C4—22no—
476C22×C4—22no—
477C22×C4—21no—
478C22×C4—21no—
479C22×C4—21no—
480C22×C4—22no—
481C22×C4—24no—
482C22×C4—21no—
483C22×C4—24no—
484C22×C4—22no—
485C22×C4—22no—
486C22×C4—22no—
487C22×C4—21no—
488C22×C4—24no—
489C22×C4—24no—
490C22×C4—24no—
491C22×C4—24no—
492C22×C4—24no—
493C22×C4—24no—
494C22×C4—24no—
495C22×C4—22no—
496C22×C4—22no—
497C22×C4—24no—
498C22×C4—24no—
499C22×C4—24no—
500C22×C4—24no—
501C22×C4—24no—
502C22×C4—48no—
503C22×C4—48no—
504C22×C4—48no—
505C22×C4—48no—
506C22×C4—48no—
507C22×C4—416no—
508C22×C4—416no—
509C22×C4—48no—
510C22×C4—48no—
511C22×C4—48no—
512C22×C4—48no—
513C22×C4—44no—
514C22×C4—44no—
515C22×C4—84no—
516C22×C4—84no—
517C22×C4—88no—
518C22×C4—88no—
519C22×C4—84no—
520C22×C4—84no—
521C22×C4#121116yes—
522C22×C4C22×D414yes—
523C22×C4C22×D414yes—
524C22×C4C22×D414yes—
525C22×C4C22×D414yes—
526C22×C4C22×D412yes—
527C22×C4C22×D412yes—
528C22×C4C22×D412yes—
529C22×C4C22×D412yes—
530C22×C4C2×#4112yes—
531C22×C4C2×#4112yes—
532C22×C4C2×#4112yes—
533C22×C4H(5,𝔽2)18yes—
534C4⋊C4—216no—
535C4⋊C4—28no—
536C4⋊C4—28no—
537C4⋊C4—416no—
538C4⋊C4—416no—
539C4⋊C4—48no—
540C4⋊C4—48no—
541C4⋊C4—44no—
542C4⋊C4—84no—
543C4⋊C4—84no—
544C4⋊C4—88no—
545C4⋊C4—84no—
546C22⋊C4—216no—
547C22⋊C4—28no—
548C22⋊C4—28no—
549C22⋊C4—416no—
550C22⋊C4—416no—
551C22⋊C4—416no—
552C22⋊C4—416no—
553C22⋊C4—44no—
554C22⋊C4—48no—
555C22⋊C4—48no—
556C22⋊C4—48no—
557C22⋊C4—48no—
558C22⋊C4—44no—
559C22⋊C4—84no—
560C22⋊C4—84no—
561C22⋊C4—84no—
562C22⋊C4—84no—
563C22⋊C4—84no—
564C22⋊C4—88no—
565C42—48no—
566C42—44no—
567C42—88no—
568C23—24no—
569C23—24no—
570C23—24no—
571C23—24no—
572C23—24no—
573C23—28no—
574C23—24no—
575C23—28no—
576C23—28no—
577C23—28no—
578C23—24no—
579C23—22no—
580C23—22no—
581C23—24no—
582C23—22no—
583C23—24no—
584C23—28no—
585C23—28no—
586C23—28no—
587C23—432no—
588C23—42no—
589C23—41no—
590C23—41no—
591C23—42no—
592C23—42no—
593C23—44no—
594C23—41no—
595C23—42no—
596C23—41no—
597C23—42no—
598C23—44no—
599C23—42no—
600C23—42no—
601C23—42no—
602C23—42no—
603C23—42no—
604C23—44no—
605C23—42no—
606C23—42no—
607C23—42no—
608C23—44no—
609C23—42no—
610C23—44no—
611C23—44no—
612C23—44no—
613C23—44no—
614C23—44no—
615C23—44no—
616C23—44no—
617C23—44no—
618C23—44no—
619C23—416no—
620C23—816no—
621C23—816no—
622C23—88no—
623C23—816no—
624C23—816no—
625C23—88no—
626C23—816no—
627C23C2×#12114yes—
628C23#52514yes—
629C23#53614yes—
630C23#54814yes—
631C23#54814yes—
632C23#55214yes—
633C23#55214yes—
634C23C23×D411yescharacteristic
635C23C23×D411yescharacteristic
636C23C22×#4111yescharacteristic
637C23C22×#4111yescharacteristic
638C23C22×#4111yescharacteristic
639C23C2×H(5,𝔽2)14yes—
640C23C2×2−1+411yescharacteristic
641C23C2×2−1+411yescharacteristic
642C23#58514yes—
643D4—416no—
644D4—816no—
645C2×C4—24no—
646C2×C4—24no—
647C2×C4—24no—
648C2×C4—24no—
649C2×C4—24no—
650C2×C4—24no—
651C2×C4—24no—
652C2×C4—24no—
653C2×C4—24no—
654C2×C4—22no—
655C2×C4—24no—
656C2×C4—22no—
657C2×C4—22no—
658C2×C4—24no—
659C2×C4—28no—
660C2×C4—24no—
661C2×C4—24no—
662C2×C4—24no—
663C2×C4—24no—
664C2×C4—24no—
665C2×C4—24no—
666C2×C4—24no—
667C2×C4—28no—
668C2×C4—28no—
669C2×C4—416no—
670C2×C4—432no—
671C2×C4—41no—
672C2×C4—41no—
673C2×C4—44no—
674C2×C4—44no—
675C2×C4—41no—
676C2×C4—41no—
677C2×C4—44no—
678C2×C4—44no—
679C2×C4—44no—
680C2×C4—44no—
681C2×C4—44no—
682C2×C4—44no—
683C2×C4—44no—
684C2×C4—44no—
685C2×C4—44no—
686C2×C4—44no—
687C2×C4—41no—
688C2×C4—42no—
689C2×C4—41no—
690C2×C4—44no—
691C2×C4—42no—
692C2×C4—42no—
693C2×C4—42no—
694C2×C4—42no—
695C2×C4—42no—
696C2×C4—42no—
697C2×C4—42no—
698C2×C4—44no—
699C2×C4—42no—
700C2×C4—42no—
701C2×C4—44no—
702C2×C4—42no—
703C2×C4—44no—
704C2×C4—42no—
705C2×C4—42no—
706C2×C4—42no—
707C2×C4—44no—
708C2×C4—44no—
709C2×C4—44no—
710C2×C4—44no—
711C2×C4—42no—
712C2×C4—44no—
713C2×C4—44no—
714C2×C4—44no—
715C2×C4—44no—
716C2×C4—44no—
717C2×C4—88no—
718C2×C4—816no—
719C2×C4—88no—
720C2×C4C2×#12114yes—
721C2×C4C2×#12114yes—
722C22—28no—
723C22—24no—
724C22—28no—
725C22—28no—
726C22—28no—
727C22—24no—
728C22—28no—
729C22—28no—
730C22—44no—
731C22—44no—
732C22—44no—
733C22—48no—
734C22—44no—
735C22—42no—
736C22—44no—
737C22—44no—
738C22—48no—
739C22—832no—
740C22—81no—
741C22—82no—
742C22—82no—
743C22—84no—
744C22—82no—
745C22—82no—
746C22—82no—
747C22—81no—
748C22—82no—
749C22—84no—
750C22—82no—
751C22#253618yes—
752C22C22×#12111yescharacteristic
753C22C2×#52511yescharacteristic
754C22C2×#53611yescharacteristic
755C22#344912yes—
756C22C2×#54811yescharacteristic
757C22C2×#54811yescharacteristic
758C22C2×#55211yescharacteristic
759C22C2×#55211yescharacteristic
760C22#348412yes—
761C22#348512yes—
762C22#349112yes—
763C22#349812yes—
764C22#350514yes—
765C22#350812yes—
766C22#351314yes—
767C22#353514yes—
768C22#354114yes—
769C4—24no—
770C4—24no—
771C4—44no—
772C4—42no—
773C4—44no—
774C4—44no—
775C4—44no—
776C4—48no—
777C4—84no—
778C4—81no—
779C4—82no—
780C4—82no—
781C4—81no—
782C4—82no—
783C2—28no—
784C2—82no—
785C2—84no—
786C2C2×#253611yescharacteristic
787C2#3508911yescharacteristic
788C2#3552811yescharacteristic
789C2#3584012yes—
790C2#3911612yes—
791C2#3971612yes—
792C2#4137012yes—
793C2#4350912yes—
794C2#4408112yes—
subgroupG/H
center, commutator, Frattini, socle, cosocleC24C25
prime radicalC22×#120C22
LCSG ▷ C24 ▷ C1
UCSC1 ◁ C24 ◁ G
LECSG ▷ C24 ▷ C1

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
1. C2×#2487C2semidirect
2. C22×#399C2semidirect
3. C2×#2345C2semidirect
5. #17039C2semidirect
6. #16811C2semidirect
7. #15408C2semidirect
8. #15380C2semidirect
9. #15175C2semidirect
10. #15084C2semidirect
11. #14728C2semidirect
13. #14338C2semidirect
14. #14019C2semidirect
15. #13971C2semidirect
16. #13966C2semidirect
17. #13960C2semidirect
25. C2×#400C22semidirect
26. C2×#400C22semidirect
31. C2×#399C22semidirect
32. C2×#399C22semidirect
33. C2×#398C22semidirect
38. C2×#389C22semidirect
39. C2×#389C22semidirect
43. C2×#388C22semidirect
44. C2×#387C22semidirect
54. C2×#380C22semidirect
57. C2×C4×C4⋊C4C22semidirect
61. #1444C22semidirect
62. #1442C22semidirect
63. #1442C22semidirect
64. #1442C22semidirect
65. #1441C22semidirect
66. #1441C22semidirect
74. #1439C22semidirect
75. #1439C22semidirect
78. #1436C22semidirect
79. #1434C22semidirect
80. #1434C22semidirect
81. #1434C22semidirect
86. C22⋊#95C22semidirect
105. C22×C4⋊C4D4semidirect

Maximal subgroups

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

subgroupindex
C2×#24872
C22×#3992
C2×#23452
C2×#23212
#170392
#168112
#154082
#153802
#151752
#150842
#147282
#147252
#143382
#140192
#139712
#139662
#139602