Finite Group Databasebeta

← #4453327

Subgroups — #4453327

Order 512.

4654 conjugacy classes of subgroups.

The subgroup lattice has 823 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#539C211yesmaximal, characteristic, complemented
2C2×#2534C212yesmaximal, complemented
3C22×#396C211yesmaximal, characteristic, complemented
4#16658C214yesmaximal, complemented
5#16604C214yesmaximal, complemented
6#16265C214yesmaximal, complemented
7#16256C214yesmaximal, complemented
8#15069C212yesmaximal, complemented
9#14934C211yesmaximal, characteristic, complemented
10#14926C211yesmaximal, characteristic, complemented
11#14911C212yesmaximal, complemented
12#14717C211yesmaximal, characteristic, complemented
13#14716C211yesmaximal, characteristic
14#14339C211yesmaximal, characteristic, complemented
15#13872C212yesmaximal, complemented
16C2×#539—216no—
17C2×#539—28no—
18C22×#126C2212yescomplemented
19C22×#125C2212yescomplemented
20C22×#123C2212yes—
21C22×#123C2212yes—
22C22×#123C2212yescomplemented
23C22×C22⋊Q8C2211yescharacteristic
24C22×C22⋊Q8C2212yescomplemented
25C22×#121C2211yescharacteristic
26C22×#120C2212yes—
27C22×C4×D4C2212yes—
28C23×C4⋊C4C2211yescharacteristic
29C23×C4⋊C4C2211yescharacteristic
30C23×C4⋊C4C2211yescharacteristic
31C23×C22⋊C4C2211yescharacteristic
32C23×C22⋊C4C2211yescharacteristic
33C23×C22⋊C4C2211yescharacteristic
34#2534—216no—
35C2×#396—28no—
36C2×#396C2214yes—
37C2×#396C2214yes—
38C2×#396C2214yes—
39C2×#394C2214yes—
40C2×#393C2212yes—
41C2×#392C2212yes—
42C2×#388C2214yes—
43C2×#386C2214yes—
44C2×#386C2212yes—
45C2×#386C2212yes—
46C2×#381C2212yes—
47C2×#381C2212yes—
48C2×#380C2212yes—
49C2×#380C2214yescomplemented
50C2×#379C2212yes—
51C22×#95C2211yescharacteristic
52#1446C2212yescomplemented
53#1444C2214yescomplemented
54#1444C2212yescomplemented
55#1444C2214yescomplemented
56#1442C2212yescomplemented
57#1442C2214yescomplemented
58#1441C2214yescomplemented
59#1441C2214yescomplemented
60#1441C2214yescomplemented
61#1439C2212yes—
62#1439C2214yes—
63#1439C2214yes—
64#1439C2212yes—
65#1439C2214yes—
66#1439C2214yescomplemented
67#1439C2214yescomplemented
68#1439C2214yescomplemented
69#1439C2214yescomplemented
70#1438C2214yes—
71#1438C2214yes—
72#1438C2214yes—
73#1438C2212yescomplemented
74C4⋊#95C2214yescomplemented
75C22⋊#95C2211yescharacteristic
76C22⋊#95C2211yescharacteristic
77C22⋊#95C2212yes—
78C22⋊#95C2212yes—
79C26C2311yescharacteristic
80C23×Q8C2311yescharacteristic
81C23×D4C2312yes—
82C23×D4C2311yescharacteristic
83C23×D4C2314yes—
84C24×C4C2311yescharacteristic
85C24×C4C2311yescharacteristic
86C24×C4C2311yescharacteristic
87C24×C4C2311yescharacteristic
88C24×C4C2311yescharacteristic
89C24×C4C2312yes—
90C24×C4C2311yescharacteristic
91#539—2128no—
92C2×#126—28no—
93C2×#126—28no—
94C2×#126—28no—
95C2×#125—28no—
96C2×#125—28no—
97C2×#125—28no—
98C2×#123—28no—
99C2×#123—28no—
100C2×#123—28no—
101C2×#123—28no—
102C2×#123—28no—
103C2×#123—28no—
104C2×#123—28no—
105C2×#123—44no—
106C2×#123—44no—
107C2×C22⋊Q8—24no—
108C2×C22⋊Q8—28no—
109C2×C22⋊Q8—28no—
110C2×C22⋊Q8—28no—
111C2×C22⋊Q8—28no—
112C2×#121—28no—
113C2×#121—24no—
114C2×#120—28no—
115C2×#120—44no—
116C2×#120—44no—
117C2×C4×D4—28no—
118C2×C4×D4—28no—
119C2×C4×D4D4116yescomplemented
120C22×C4⋊C4—28no—
121C22×C4⋊C4—24no—
122C22×C4⋊C4—24no—
123C22×C4⋊C4—44no—
124C22×C4⋊C4—44no—
125C22×C4⋊C4D418yescomplemented
126C22×C4⋊C4C2311yescharacteristic
127C22×C4⋊C4C2312yes—
128C22×C4⋊C4C2311yescharacteristic
129C22×C4⋊C4C2312yes—
130C22×C4⋊C4C2312yes—
131C22×C4⋊C4C2314yes—
132C22×C4⋊C4C2312yes—
133C22×C4⋊C4C2312yes—
134C22×C4⋊C4C2312yes—
135C22×C4⋊C4C2314yes—
136C22×C4⋊C4C2314yes—
137C22×C4⋊C4C2314yes—
138C22×C22⋊C4—24no—
139C22×C22⋊C4—24no—
140C22×C22⋊C4—24no—
141C22×C22⋊C4—28no—
142C22×C22⋊C4—44no—
143C22×C22⋊C4—44no—
144C22×C22⋊C4C2314yes—
145C22×C22⋊C4C2312yes—
146C22×C22⋊C4C2312yes—
147C22×C22⋊C4C2312yes—
148C22×C22⋊C4C2312yes—
149C22×C22⋊C4C2312yes—
150C22×C22⋊C4C2312yes—
151C22×C22⋊C4C2312yes—
152C22×C22⋊C4C2314yes—
153C22×C22⋊C4C2312yes—
154C22×C22⋊C4C2312yes—
155C22×C22⋊C4C2314yes—
156C22×C22⋊C4C2314yes—
157C22×C22⋊C4C2314yes—
158C22×C22⋊C4C2314yes—
159C22×C22⋊C4C2314yes—
160C22×C22⋊C4C2314yes—
161C22×C42C2312yes—
162#396—216no—
163#396—216no—
164#396—216no—
165#394—216no—
166#393—44no—
167#392—44no—
168#388—216no—
169#386—216no—
170#386—44no—
171#386—44no—
172#381—28no—
173#381—44no—
174#380—28no—
175#380—48no—
176#379—28no—
177C2×#95—24no—
178C2×#95C2314yes—
179C2×#95C2314yes—
180C2×#95C2312yes—
181C2×#95C2312yes—
182C2×#95C2314yes—
183C2×#95C2314yes—
184C2×#95C2312yes—
185C2×#95C2312yes—
186C2×#95C2314yes—
187C2×#95C2314yes—
188C2×#95C2312yes—
189C2×#95C2314yes—
190C2×#95C2312yes—
191C2×#95C2314yes—
192C2×#95C2314yes—
193C2×#95C2314yes—
194C2×#95C2314yes—
195C25—22no—
196C25—24no—
197C25—24no—
198C25—24no—
199C25—22no—
200C25—22no—
201C25—42no—
202C25—42no—
203C25—42no—
204C25C2412yes—
205C25C2412yes—
206C25C2411yescharacteristic
207C22×Q8—22no—
208C22×Q8—24no—
209C22×Q8—42no—
210C22×Q8—42no—
211C22×D4—24no—
212C22×D4—24no—
213C22×D4—24no—
214C22×D4—24no—
215C22×D4—24no—
216C22×D4—24no—
217C22×D4—24no—
218C22×D4—28no—
219C22×D4—28no—
220C22×D4—22no—
221C22×D4—44no—
222C22×D4—44no—
223C22×D4—44no—
224C22×D4—42no—
225C22×D4—44no—
226C22×D4—42no—
227C22×D4—44no—
228C22×D4C2×D418yes—
229C23×C4—22no—
230C23×C4—24no—
231C23×C4—24no—
232C23×C4—22no—
233C23×C4—22no—
234C23×C4—24no—
235C23×C4—24no—
236C23×C4—24no—
237C23×C4—24no—
238C23×C4—22no—
239C23×C4—22no—
240C23×C4—24no—
241C23×C4—24no—
242C23×C4—24no—
243C23×C4—22no—
244C23×C4—22no—
245C23×C4—24no—
246C23×C4—42no—
247C23×C4—42no—
248C23×C4—42no—
249C23×C4—42no—
250C23×C4—42no—
251C23×C4—44no—
252C23×C4—42no—
253C23×C4—42no—
254C23×C4—44no—
255C23×C4C2×D414yes—
256C23×C4C2×D414yes—
257C23×C4C2×D418yes—
258C23×C4C2×D414yes—
259C23×C4C2×D418yes—
260C23×C4C2414yes—
261C23×C4C2412yes—
262C23×C4C2412yes—
263C23×C4C2414yes—
264C23×C4C2412yes—
265C23×C4C2412yes—
266C23×C4C2412yes—
267C23×C4C2411yescharacteristic
268C23×C4C2412yes—
269C23×C4C2411yescharacteristic
270C23×C4C2412yes—
271C23×C4C2412yes—
272#126—264no—
273#125—264no—
274#123—264no—
275#123—264no—
276#123—432no—
277C22⋊Q8—264no—
278C22⋊Q8—232no—
279#121—232no—
280#120—432no—
281C4×D4—264no—
282C2×C4⋊C4—232no—
283C2×C4⋊C4—24no—
284C2×C4⋊C4—24no—
285C2×C4⋊C4—24no—
286C2×C4⋊C4—24no—
287C2×C4⋊C4—24no—
288C2×C4⋊C4—24no—
289C2×C4⋊C4—22no—
290C2×C4⋊C4—24no—
291C2×C4⋊C4—24no—
292C2×C4⋊C4—24no—
293C2×C4⋊C4—24no—
294C2×C4⋊C4—24no—
295C2×C4⋊C4—24no—
296C2×C4⋊C4—24no—
297C2×C4⋊C4—22no—
298C2×C4⋊C4—24no—
299C2×C4⋊C4—24no—
300C2×C4⋊C4—24no—
301C2×C4⋊C4—24no—
302C2×C4⋊C4—28no—
303C2×C4⋊C4—28no—
304C2×C4⋊C4—28no—
305C2×C4⋊C4—28no—
306C2×C4⋊C4—28no—
307C2×C4⋊C4—44no—
308C2×C4⋊C4—44no—
309C2×C4⋊C4—44no—
310C2×C4⋊C4—44no—
311C2×C4⋊C4—44no—
312C2×C4⋊C4—416no—
313C2×C4⋊C4—416no—
314C2×C4⋊C4—44no—
315C2×C4⋊C4—44no—
316C2×C4⋊C4C2×D418yes—
317C2×C4⋊C4C2×D418yes—
318C2×C4⋊C4C2×D418yes—
319C2×C22⋊C4—24no—
320C2×C22⋊C4—24no—
321C2×C22⋊C4—24no—
322C2×C22⋊C4—24no—
323C2×C22⋊C4—24no—
324C2×C22⋊C4—24no—
325C2×C22⋊C4—24no—
326C2×C22⋊C4—24no—
327C2×C22⋊C4—24no—
328C2×C22⋊C4—24no—
329C2×C22⋊C4—24no—
330C2×C22⋊C4—24no—
331C2×C22⋊C4—24no—
332C2×C22⋊C4—24no—
333C2×C22⋊C4—24no—
334C2×C22⋊C4—28no—
335C2×C22⋊C4—24no—
336C2×C22⋊C4—24no—
337C2×C22⋊C4—24no—
338C2×C22⋊C4—24no—
339C2×C22⋊C4—28no—
340C2×C22⋊C4—28no—
341C2×C22⋊C4—28no—
342C2×C22⋊C4—24no—
343C2×C22⋊C4—24no—
344C2×C22⋊C4—28no—
345C2×C22⋊C4—28no—
346C2×C22⋊C4—28no—
347C2×C22⋊C4—28no—
348C2×C22⋊C4—24no—
349C2×C22⋊C4—24no—
350C2×C22⋊C4—28no—
351C2×C22⋊C4—28no—
352C2×C22⋊C4—42no—
353C2×C22⋊C4—42no—
354C2×C22⋊C4—44no—
355C2×C22⋊C4—44no—
356C2×C22⋊C4—44no—
357C2×C22⋊C4—44no—
358C2×C22⋊C4—44no—
359C2×C22⋊C4—44no—
360C2×C22⋊C4—44no—
361C2×C22⋊C4—416no—
362C2×C22⋊C4—416no—
363C2×C22⋊C4—416no—
364C2×C22⋊C4—44no—
365C2×C22⋊C4—44no—
366C2×C22⋊C4—44no—
367C2×C22⋊C4—44no—
368C2×C22⋊C4—44no—
369C2×C22⋊C4—44no—
370C2×C22⋊C4—44no—
371C2×C22⋊C4C2×D418yes—
372C2×C22⋊C4C2×D418yes—
373C2×C42—24no—
374C2×C42—24no—
375C2×C42C2×D418yes—
376#95—24no—
377#95—24no—
378#95—28no—
379#95—28no—
380#95—28no—
381#95—28no—
382#95—44no—
383#95—44no—
384#95—42no—
385#95—42no—
386#95—44no—
387#95—44no—
388#95—44no—
389#95—44no—
390#95—44no—
391#95—42no—
392#95—42no—
393C24—22no—
394C24—22no—
395C24—22no—
396C24—22no—
397C24—28no—
398C24—22no—
399C24—24no—
400C24—22no—
401C24—22no—
402C24—22no—
403C24—24no—
404C24—22no—
405C24—22no—
406C24—24no—
407C24—22no—
408C24—22no—
409C24—22no—
410C24—22no—
411C24—24no—
412C24—22no—
413C24—22no—
414C24—24no—
415C24—24no—
416C24—24no—
417C24—24no—
418C24—416no—
419C24—416no—
420C24—48no—
421C24—48no—
422C24—44no—
423C24—44no—
424C24—44no—
425C24—44no—
426C24—44no—
427C24—44no—
428C24—48no—
429C24—48no—
430C24—88no—
431C24—88no—
432C24—84no—
433C24—84no—
434C24C22×D414yes—
435C24C22×D414yes—
436C24C22×D412yes—
437C24H(5,𝔽2)12yes—
438C24H(5,𝔽2)14yes—
439C242−1+414yes—
440C242−1+412yes—
441C24C2511yescharacteristic
442C2×Q8—28no—
443C2×Q8—82no—
444C2×Q8—82no—
445C2×Q8—88no—
446C2×D4—216no—
447C2×D4—216no—
448C2×D4—216no—
449C2×D4—28no—
450C2×D4—48no—
451C2×D4—48no—
452C2×D4—48no—
453C2×D4—48no—
454C2×D4—416no—
455C2×D4—416no—
456C2×D4—82no—
457C2×D4—82no—
458C2×D4—88no—
459C2×D4—88no—
460C2×D4—88no—
461C2×D4—88no—
462C2×D4—88no—
463C2×D4—88no—
464C22×C4—24no—
465C22×C4—24no—
466C22×C4—28no—
467C22×C4—28no—
468C22×C4—28no—
469C22×C4—28no—
470C22×C4—22no—
471C22×C4—22no—
472C22×C4—22no—
473C22×C4—22no—
474C22×C4—22no—
475C22×C4—22no—
476C22×C4—22no—
477C22×C4—22no—
478C22×C4—22no—
479C22×C4—22no—
480C22×C4—22no—
481C22×C4—24no—
482C22×C4—22no—
483C22×C4—22no—
484C22×C4—22no—
485C22×C4—22no—
486C22×C4—24no—
487C22×C4—22no—
488C22×C4—22no—
489C22×C4—22no—
490C22×C4—22no—
491C22×C4—22no—
492C22×C4—24no—
493C22×C4—22no—
494C22×C4—22no—
495C22×C4—24no—
496C22×C4—24no—
497C22×C4—22no—
498C22×C4—22no—
499C22×C4—24no—
500C22×C4—28no—
501C22×C4—216no—
502C22×C4—24no—
503C22×C4—24no—
504C22×C4—22no—
505C22×C4—22no—
506C22×C4—24no—
507C22×C4—24no—
508C22×C4—24no—
509C22×C4—24no—
510C22×C4—24no—
511C22×C4—24no—
512C22×C4—24no—
513C22×C4—24no—
514C22×C4—24no—
515C22×C4—22no—
516C22×C4—24no—
517C22×C4—24no—
518C22×C4—22no—
519C22×C4—24no—
520C22×C4—22no—
521C22×C4—24no—
522C22×C4—24no—
523C22×C4—24no—
524C22×C4—24no—
525C22×C4—22no—
526C22×C4—44no—
527C22×C4—44no—
528C22×C4—416no—
529C22×C4—44no—
530C22×C4—416no—
531C22×C4—44no—
532C22×C4—416no—
533C22×C4—44no—
534C22×C4—44no—
535C22×C4—48no—
536C22×C4—48no—
537C22×C4—44no—
538C22×C4—44no—
539C22×C4—44no—
540C22×C4—44no—
541C22×C4—44no—
542C22×C4—48no—
543C22×C4—44no—
544C22×C4—48no—
545C22×C4—84no—
546C22×C4—84no—
547C22×C4—88no—
548C22×C4—88no—
549C22×C4—88no—
550C22×C4#120116yes—
551C22×C4C22×D414yes—
552C22×C4C22×D412yes—
553C22×C4C22×D414yes—
554C22×C4C22×D412yes—
555C22×C4C22×D414yes—
556C22×C4C22×D414yes—
557C22×C4C22×D414yes—
558C22×C4C22×D414yes—
559C22×C4C22×D414yes—
560C22×C4H(5,𝔽2)14yes—
561C4⋊C4—28no—
562C4⋊C4—216no—
563C4⋊C4—216no—
564C4⋊C4—28no—
565C4⋊C4—216no—
566C4⋊C4—216no—
567C4⋊C4—216no—
568C4⋊C4—216no—
569C4⋊C4—416no—
570C4⋊C4—416no—
571C4⋊C4—416no—
572C4⋊C4—88no—
573C22⋊C4—216no—
574C22⋊C4—216no—
575C22⋊C4—216no—
576C22⋊C4—216no—
577C22⋊C4—216no—
578C22⋊C4—48no—
579C22⋊C4—48no—
580C22⋊C4—416no—
581C22⋊C4—416no—
582C22⋊C4—416no—
583C22⋊C4—416no—
584C22⋊C4—48no—
585C22⋊C4—48no—
586C22⋊C4—416no—
587C22⋊C4—88no—
588C22⋊C4—88no—
589C22⋊C4—88no—
590C42—216no—
591C23—22no—
592C23—22no—
593C23—22no—
594C23—22no—
595C23—28no—
596C23—28no—
597C23—28no—
598C23—28no—
599C23—24no—
600C23—24no—
601C23—24no—
602C23—24no—
603C23—24no—
604C23—24no—
605C23—24no—
606C23—24no—
607C23—28no—
608C23—28no—
609C23—28no—
610C23—28no—
611C23—24no—
612C23—24no—
613C23—416no—
614C23—416no—
615C23—416no—
616C23—42no—
617C23—42no—
618C23—44no—
619C23—42no—
620C23—42no—
621C23—42no—
622C23—42no—
623C23—44no—
624C23—42no—
625C23—42no—
626C23—42no—
627C23—42no—
628C23—42no—
629C23—42no—
630C23—42no—
631C23—42no—
632C23—44no—
633C23—44no—
634C23—44no—
635C23—44no—
636C23—44no—
637C23—44no—
638C23—44no—
639C23—44no—
640C23—44no—
641C23—44no—
642C23—44no—
643C23—44no—
644C23—44no—
645C23—42no—
646C23—44no—
647C23—42no—
648C23—44no—
649C23—44no—
650C23—44no—
651C23—44no—
652C23—832no—
653C23—832no—
654C23—88no—
655C23—88no—
656C23—88no—
657C23—88no—
658C23C2×#12014yes—
659C23#53518yes—
660C23#53514yes—
661C23#53714yes—
662C23#53718yes—
663C23C23×D411yescharacteristic
664C23C23×D412yes—
665C23C2×H(5,𝔽2)12yes—
666C23C2×H(5,𝔽2)11yescharacteristic
667C23C2×H(5,𝔽2)12yes—
668C23C2×2−1+411yescharacteristic
669C23C2×2−1+412yes—
670C23#58512yes—
671C23#58512yes—
672Q8—88no—
673D4—432no—
674D4—88no—
675D4—832no—
676C2×C4—24no—
677C2×C4—24no—
678C2×C4—28no—
679C2×C4—28no—
680C2×C4—24no—
681C2×C4—24no—
682C2×C4—24no—
683C2×C4—22no—
684C2×C4—24no—
685C2×C4—22no—
686C2×C4—24no—
687C2×C4—24no—
688C2×C4—24no—
689C2×C4—24no—
690C2×C4—24no—
691C2×C4—22no—
692C2×C4—22no—
693C2×C4—22no—
694C2×C4—22no—
695C2×C4—28no—
696C2×C4—28no—
697C2×C4—28no—
698C2×C4—416no—
699C2×C4—416no—
700C2×C4—416no—
701C2×C4—42no—
702C2×C4—42no—
703C2×C4—42no—
704C2×C4—42no—
705C2×C4—42no—
706C2×C4—42no—
707C2×C4—42no—
708C2×C4—42no—
709C2×C4—42no—
710C2×C4—42no—
711C2×C4—42no—
712C2×C4—42no—
713C2×C4—42no—
714C2×C4—42no—
715C2×C4—44no—
716C2×C4—44no—
717C2×C4—44no—
718C2×C4—44no—
719C2×C4—44no—
720C2×C4—42no—
721C2×C4—44no—
722C2×C4—42no—
723C2×C4—44no—
724C2×C4—44no—
725C2×C4—42no—
726C2×C4—44no—
727C2×C4—42no—
728C2×C4—42no—
729C2×C4—42no—
730C2×C4—44no—
731C2×C4—44no—
732C2×C4—44no—
733C2×C4—44no—
734C2×C4—44no—
735C2×C4—44no—
736C2×C4—44no—
737C2×C4—44no—
738C2×C4—44no—
739C2×C4—44no—
740C2×C4—44no—
741C2×C4—44no—
742C2×C4—44no—
743C2×C4—44no—
744C2×C4—816no—
745C2×C4—88no—
746C2×C4—88no—
747C2×C4—88no—
748C2×C4C2×#12018yes—
749C22—24no—
750C22—24no—
751C22—216no—
752C22—216no—
753C22—24no—
754C22—24no—
755C22—24no—
756C22—24no—
757C22—44no—
758C22—44no—
759C22—48no—
760C22—48no—
761C22—48no—
762C22—48no—
763C22—44no—
764C22—44no—
765C22—44no—
766C22—44no—
767C22—832no—
768C22—82no—
769C22—82no—
770C22—82no—
771C22—82no—
772C22—84no—
773C22—84no—
774C22—84no—
775C22—84no—
776C22—82no—
777C22—82no—
778C22—82no—
779C22—82no—
780C22#261518yes—
781C22C22×#12011yescharacteristic
782C22C2×#53511yescharacteristic
783C22C2×#53512yes—
784C22C2×#53712yes—
785C22C2×#53711yescharacteristic
786C22#348411yescharacteristic
787C22#348511yescharacteristic
788C22#348611yescharacteristic
789C22#348711yescharacteristic
790C22#348914yes—
791C22#349614yes—
792C22#353414yes—
793C22#353514yes—
794C22#353612yes—
795C22#353812yes—
796C22#356012yes—
797C22#356412yes—
798C4—28no—
799C4—42no—
800C4—42no—
801C4—44no—
802C4—44no—
803C4—44no—
804C4—44no—
805C4—44no—
806C4—82no—
807C4—82no—
808C4—84no—
809C4—84no—
810C2—28no—
811C2—84no—
812C2—84no—
813C2C2×#261511yescharacteristic
814C2#3534711yescharacteristic
815C2#3565911yescharacteristic
816C2#3671911yescharacteristic
817C2#3697111yescharacteristic
818C2#3711811yescharacteristic
819C2#3718511yescharacteristic
820C2#4051714yes—
821C2#4051914yes—
subgroupG/H
center, commutator, Frattini, socle, cosocleC24C25
prime radical#14716C2
LCSG ▷ C24 ▷ C1
UCSC1 ◁ C24 ◁ G
LECSG ▷ C24 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C22×#539C2semidirect
2. C2×#2534C2semidirect
3. C22×#396C2semidirect
4. #16658C2semidirect
5. #16604C2semidirect
6. #16265C2semidirect
7. #16256C2semidirect
8. #15069C2semidirect
9. #14934C2semidirect
10. #14926C2semidirect
11. #14911C2semidirect
12. #14717C2semidirect
14. #14339C2semidirect
15. #13872C2semidirect
18. C22×#126C22semidirect
19. C22×#125C22semidirect
22. C22×#123C22semidirect
24. C22×C22⋊Q8C22semidirect
49. C2×#380C22semidirect
52. #1446C22semidirect
53. #1444C22semidirect
54. #1444C22semidirect
55. #1444C22semidirect
56. #1442C22semidirect
57. #1442C22semidirect
58. #1441C22semidirect
59. #1441C22semidirect
60. #1441C22semidirect
66. #1439C22semidirect
67. #1439C22semidirect
68. #1439C22semidirect
69. #1439C22semidirect
73. #1438C22semidirect
74. C4⋊#95C22semidirect
119. C2×C4×D4D4semidirect
125. C22×C4⋊C4D4semidirect

Maximal subgroups

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

subgroupindex
C22×#5392
C2×#25342
C22×#3962
#166582
#166042
#162652
#162562
#150692
#149342
#149262
#149112
#147172
#147162
#143392
#138722