Finite Group Databasebeta

← #646646

Subgroups — #646646

Order 512.

4126 conjugacy classes of subgroups.

The subgroup lattice has 777 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C23×#126C211yesmaximal, characteristic
2C2×#2637C212yesmaximal, complemented
3C2×C4×C22⋊Q8C211yesmaximal, characteristic, complemented
4#16673C212yesmaximal, complemented
5#16659C214yesmaximal, complemented
6#16656C212yesmaximal, complemented
7#15072C214yesmaximal, complemented
8#14821C211yesmaximal, characteristic, complemented
9#14820C211yesmaximal, characteristic
10#14728C212yesmaximal, complemented
11#14726C212yesmaximal
12#14720C211yesmaximal, characteristic, complemented
13#14717C211yesmaximal, characteristic
14#14682C211yesmaximal, characteristic, complemented
15#14291C212yesmaximal, complemented
16#14039C212yesmaximal, complemented
17#13991C212yesmaximal
18C22×#126—28no—
19C22×#126—216no—
20C22×#126C2212yes—
21C22×#126C2212yes—
22C22×#126C2212yes—
23C22×#126C2212yes—
24C22×C22⋊Q8C2211yescharacteristic
25C22×C4×Q8C2211yescharacteristic, complemented
26C23×C4⋊C4C2211yescharacteristic
27C23×C4⋊C4C2211yescharacteristic
28C23×C4⋊C4C2211yescharacteristic
29C23×C22⋊C4C2211yescharacteristic
30C23×C22⋊C4C2211yescharacteristic
31C23×C22⋊C4C2211yescharacteristic
32C23×C42C2211yescharacteristic
33#2637—216no—
34C2×#398C2214yescomplemented
35C2×#398C2212yescomplemented
36C2×#397C2212yes—
37C2×#396C2214yes—
38C2×#395C2212yescomplemented
39C2×#393C2212yes—
40C4×C22⋊Q8—28no—
41C2×#391C2211yescharacteristic, complemented
42C2×#389C2211yescharacteristic, complemented
43C2×#388C2214yes—
44C2×#387C2212yescomplemented
45C2×#387C2214yescomplemented
46C2×#385C2212yes—
47C2×#385C2212yes—
48C2×#385C2212yes—
49C2×#382C2212yescomplemented
50C2×#380C2211yescharacteristic
51C2×#380C2212yes—
52C2×#379C2212yes—
53C2×#379C2212yes—
54C2×C4×C4⋊C4C2211yescharacteristic, complemented
55C2×C4×C4⋊C4C2212yescomplemented
56C2×C4×C22⋊C4C2212yes—
57#1444C2214yescomplemented
58#1444C2214yescomplemented
59#1442C2214yescomplemented
60#1442C2214yescomplemented
61#1441C2214yescomplemented
62#1441C2212yescomplemented
63#1441C2214yescomplemented
64#1441C2214yescomplemented
65#1441C2212yescomplemented
66#1440C2214yes—
67#1440C2214yes—
68#1439C2214yes—
69#1439C2212yes—
70#1439C2214yes—
71#1439C2214yes—
72#1439C2214yes—
73#1439C2212yes—
74#1439C2214yes—
75#1437C2214yes—
76#1436C2214yescomplemented
77C4⋊#95C2212yescomplemented
78#1434C2212yescomplemented
79#1434C2212yescomplemented
80C22⋊#95C2211yescharacteristic
81C22⋊#95C2211yescharacteristic
82C22⋊#95C2212yes—
83C22⋊#95C2212yes—
84C22⋊#95C2212yes—
85C22⋊#95C2212yes—
86C22⋊#95C2212yes—
87C26C2311yescharacteristic
88C23×Q8C2311yescharacteristic
89C24×C4C2311yescharacteristic
90C24×C4C2311yescharacteristic
91C24×C4C2311yescharacteristic
92C24×C4C2311yescharacteristic
93C24×C4C2311yescharacteristic
94C24×C4C2311yescharacteristic
95C2×#126—2128no—
96C2×#126—28no—
97C2×#126—28no—
98C2×#126—28no—
99C2×#126—28no—
100C2×#126—28no—
101C2×#126—28no—
102C2×#126—28no—
103C2×#126—28no—
104C2×#126—28no—
105C2×#126—28no—
106C2×#126—28no—
107C2×#126D4116yes—
108C2×C22⋊Q8—24no—
109C2×C22⋊Q8—28no—
110C2×C4×Q8—28no—
111C2×C4×Q8—24no—
112C22×C4⋊C4—24no—
113C22×C4⋊C4—24no—
114C22×C4⋊C4—24no—
115C22×C4⋊C4—28no—
116C22×C4⋊C4—28no—
117C22×C4⋊C4—28no—
118C22×C4⋊C4C2312yes—
119C22×C4⋊C4C2311yescharacteristic
120C22×C4⋊C4C2312yes—
121C22×C4⋊C4C2312yes—
122C22×C4⋊C4C2312yes—
123C22×C4⋊C4C2311yescharacteristic
124C22×C4⋊C4C2312yes—
125C22×C4⋊C4C2314yes—
126C22×C4⋊C4C2312yes—
127C22×C4⋊C4C2312yes—
128C22×C4⋊C4C2312yes—
129C22×C4⋊C4C2314yes—
130C22×C4⋊C4C2314yes—
131C22×C4⋊C4C2311yescharacteristic
132C22×C4⋊C4C2312yes—
133C22×C22⋊C4—24no—
134C22×C22⋊C4—24no—
135C22×C22⋊C4—24no—
136C22×C22⋊C4—28no—
137C22×C22⋊C4—28no—
138C22×C22⋊C4—28no—
139C22×C22⋊C4C2312yes—
140C22×C22⋊C4C2312yes—
141C22×C22⋊C4C2312yes—
142C22×C22⋊C4C2312yes—
143C22×C22⋊C4C2312yes—
144C22×C22⋊C4C2312yes—
145C22×C22⋊C4C2314yes—
146C22×C22⋊C4C2312yes—
147C22×C22⋊C4C2312yes—
148C22×C22⋊C4C2312yes—
149C22×C22⋊C4C2312yes—
150C22×C22⋊C4C2314yes—
151C22×C22⋊C4C2314yes—
152C22×C22⋊C4C2314yes—
153C22×C42—28no—
154C22×C42D418yes—
155C22×C42C2312yes—
156C22×C42C2311yescharacteristic
157C22×C42C2311yescharacteristic
158C22×C42C2311yescharacteristic
159C22×C42C2312yes—
160C22×C42C2311yescharacteristic
161#398—28no—
162#398—216no—
163#397—28no—
164#396—216no—
165#395—28no—
166#393—28no—
167#391—24no—
168#389—24no—
169#388—216no—
170#387—216no—
171#387—28no—
172#385—28no—
173#385—28no—
174#385—44no—
175#382—28no—
176#380—24no—
177#380—44no—
178#379—28no—
179#379—44no—
180C4×C4⋊C4—28no—
181C4×C4⋊C4—24no—
182C4×C22⋊C4—28no—
183C2×#95C2312yes—
184C2×#95C2314yes—
185C2×#95C2312yes—
186C2×#95C2314yes—
187C2×#95C2314yes—
188C2×#95C2314yes—
189C2×#95C2314yes—
190C2×#95C2314yes—
191C2×#95C2312yes—
192C2×#95C2312yes—
193C2×#95C2312yes—
194C2×#95C2312yes—
195C2×#95C2312yes—
196C2×#95C2312yes—
197C2×#95C2314yes—
198C2×#95C2312yes—
199C2×#95C2314yes—
200C2×#95C2314yes—
201C2×#95C2314yes—
202C2×#95C2314yes—
203C2×#95C2314yes—
204C2×#95C2314yes—
205C25—24no—
206C25—22no—
207C25—24no—
208C25—22no—
209C25—24no—
210C25—22no—
211C25—42no—
212C25—42no—
213C25—42no—
214C25C2412yes—
215C25C2411yescharacteristic
216C22×Q8—22no—
217C22×Q8—24no—
218C22×Q8—24no—
219C22×Q8—42no—
220C23×C4—22no—
221C23×C4—22no—
222C23×C4—22no—
223C23×C4—24no—
224C23×C4—22no—
225C23×C4—24no—
226C23×C4—22no—
227C23×C4—24no—
228C23×C4—24no—
229C23×C4—24no—
230C23×C4—24no—
231C23×C4—24no—
232C23×C4—24no—
233C23×C4—24no—
234C23×C4—22no—
235C23×C4—24no—
236C23×C4—22no—
237C23×C4—42no—
238C23×C4—42no—
239C23×C4—42no—
240C23×C4—42no—
241C23×C4—42no—
242C23×C4—42no—
243C23×C4C2×D414yes—
244C23×C4C2×D414yes—
245C23×C4C2×D414yes—
246C23×C4C2412yes—
247C23×C4C2414yes—
248C23×C4C2414yes—
249C23×C4C2412yes—
250C23×C4C2412yes—
251C23×C4C2412yes—
252C23×C4C2412yes—
253C23×C4C2411yescharacteristic
254C23×C4C2411yescharacteristic
255C23×C4C2411yescharacteristic
256C23×C4C2412yes—
257C23×C4C2412yes—
258C23×C4C2411yescharacteristic
259C23×C4C2411yescharacteristic
260C23×C4C2411yescharacteristic
261#126—264no—
262#126—264no—
263#126—264no—
264#126—264no—
265C22⋊Q8—232no—
266C4×Q8—416no—
267C2×C4⋊C4—232no—
268C2×C4⋊C4—232no—
269C2×C4⋊C4—232no—
270C2×C4⋊C4—24no—
271C2×C4⋊C4—24no—
272C2×C4⋊C4—24no—
273C2×C4⋊C4—24no—
274C2×C4⋊C4—24no—
275C2×C4⋊C4—24no—
276C2×C4⋊C4—24no—
277C2×C4⋊C4—24no—
278C2×C4⋊C4—24no—
279C2×C4⋊C4—24no—
280C2×C4⋊C4—24no—
281C2×C4⋊C4—24no—
282C2×C4⋊C4—24no—
283C2×C4⋊C4—24no—
284C2×C4⋊C4—24no—
285C2×C4⋊C4—24no—
286C2×C4⋊C4—22no—
287C2×C4⋊C4—24no—
288C2×C4⋊C4—24no—
289C2×C4⋊C4—24no—
290C2×C4⋊C4—22no—
291C2×C4⋊C4—24no—
292C2×C4⋊C4—28no—
293C2×C4⋊C4—24no—
294C2×C4⋊C4—22no—
295C2×C4⋊C4—24no—
296C2×C4⋊C4—28no—
297C2×C4⋊C4—28no—
298C2×C4⋊C4—28no—
299C2×C4⋊C4—28no—
300C2×C4⋊C4—44no—
301C2×C4⋊C4—42no—
302C2×C4⋊C4—44no—
303C2×C4⋊C4—44no—
304C2×C4⋊C4—44no—
305C2×C4⋊C4—44no—
306C2×C4⋊C4—44no—
307C2×C4⋊C4C2×D418yes—
308C2×C4⋊C4C2×D418yes—
309C2×C4⋊C4C2×D418yes—
310C2×C22⋊C4—232no—
311C2×C22⋊C4—232no—
312C2×C22⋊C4—232no—
313C2×C22⋊C4—24no—
314C2×C22⋊C4—24no—
315C2×C22⋊C4—24no—
316C2×C22⋊C4—24no—
317C2×C22⋊C4—24no—
318C2×C22⋊C4—24no—
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—28no—
332C2×C22⋊C4—24no—
333C2×C22⋊C4—24no—
334C2×C22⋊C4—24no—
335C2×C22⋊C4—24no—
336C2×C22⋊C4—24no—
337C2×C22⋊C4—24no—
338C2×C22⋊C4—24no—
339C2×C22⋊C4—24no—
340C2×C22⋊C4—28no—
341C2×C22⋊C4—28no—
342C2×C22⋊C4—28no—
343C2×C22⋊C4—44no—
344C2×C22⋊C4—44no—
345C2×C22⋊C4—44no—
346C2×C22⋊C4—44no—
347C2×C22⋊C4—44no—
348C2×C22⋊C4—44no—
349C2×C22⋊C4—44no—
350C2×C22⋊C4—44no—
351C2×C22⋊C4C2×D418yes—
352C2×C22⋊C4C2×D418yes—
353C2×C22⋊C4C2×D418yes—
354C2×C22⋊C4#4118yes—
355C2×C42—24no—
356C2×C42—24no—
357C2×C42—24no—
358C2×C42—232no—
359C2×C42—24no—
360C2×C42—28no—
361C2×C42—24no—
362C2×C42—44no—
363C2×C42C2×D414yes—
364C2×C42C2×D414yes—
365C2×C42C2×D414yes—
366C2×C42C2×D414yes—
367C2×C42C2×D418yes—
368#95—24no—
369#95—24no—
370#95—24no—
371#95—24no—
372#95—24no—
373#95—28no—
374#95—24no—
375#95—24no—
376#95—28no—
377#95—28no—
378#95—28no—
379#95—28no—
380#95—28no—
381#95—44no—
382#95—44no—
383#95—42no—
384#95—44no—
385#95—44no—
386#95—42no—
387#95—44no—
388#95—44no—
389#95—44no—
390C24—22no—
391C24—22no—
392C24—22no—
393C24—22no—
394C24—28no—
395C24—22no—
396C24—22no—
397C24—24no—
398C24—22no—
399C24—24no—
400C24—22no—
401C24—24no—
402C24—22no—
403C24—22no—
404C24—24no—
405C24—416no—
406C24—48no—
407C24—416no—
408C24—48no—
409C24—44no—
410C24—44no—
411C24—44no—
412C24—44no—
413C24—44no—
414C24—44no—
415C24—48no—
416C24—48no—
417C24—88no—
418C24—84no—
419C24—88no—
420C24—84no—
421C24C22×D414yes—
422C24C22×D412yes—
423C24C2×#4114yes—
424C24H(5,𝔽2)12yes—
425C242−1+414yes—
426C242−1+412yes—
427C24C2511yescharacteristic
428C2×Q8—28no—
429C2×Q8—416no—
430C2×Q8—44no—
431C2×Q8—44no—
432C22×C4—22no—
433C22×C4—21no—
434C22×C4—22no—
435C22×C4—21no—
436C22×C4—22no—
437C22×C4—22no—
438C22×C4—22no—
439C22×C4—28no—
440C22×C4—28no—
441C22×C4—28no—
442C22×C4—28no—
443C22×C4—28no—
444C22×C4—28no—
445C22×C4—22no—
446C22×C4—22no—
447C22×C4—24no—
448C22×C4—22no—
449C22×C4—22no—
450C22×C4—22no—
451C22×C4—22no—
452C22×C4—22no—
453C22×C4—22no—
454C22×C4—22no—
455C22×C4—22no—
456C22×C4—22no—
457C22×C4—24no—
458C22×C4—22no—
459C22×C4—22no—
460C22×C4—22no—
461C22×C4—21no—
462C22×C4—22no—
463C22×C4—22no—
464C22×C4—21no—
465C22×C4—24no—
466C22×C4—22no—
467C22×C4—22no—
468C22×C4—22no—
469C22×C4—22no—
470C22×C4—24no—
471C22×C4—24no—
472C22×C4—24no—
473C22×C4—24no—
474C22×C4—24no—
475C22×C4—22no—
476C22×C4—22no—
477C22×C4—28no—
478C22×C4—28no—
479C22×C4—28no—
480C22×C4—22no—
481C22×C4—24no—
482C22×C4—24no—
483C22×C4—22no—
484C22×C4—24no—
485C22×C4—24no—
486C22×C4—24no—
487C22×C4—22no—
488C22×C4—24no—
489C22×C4—24no—
490C22×C4—22no—
491C22×C4—22no—
492C22×C4—22no—
493C22×C4—24no—
494C22×C4—24no—
495C22×C4—24no—
496C22×C4—24no—
497C22×C4—24no—
498C22×C4—24no—
499C22×C4—24no—
500C22×C4—24no—
501C22×C4—24no—
502C22×C4—24no—
503C22×C4—24no—
504C22×C4—44no—
505C22×C4—44no—
506C22×C4—44no—
507C22×C4—416no—
508C22×C4—48no—
509C22×C4—48no—
510C22×C4—416no—
511C22×C4—416no—
512C22×C4—48no—
513C22×C4—48no—
514C22×C4—416no—
515C22×C4—44no—
516C22×C4—44no—
517C22×C4—44no—
518C22×C4—44no—
519C22×C4—44no—
520C22×C4—44no—
521C22×C4C22×D412yes—
522C22×C4C22×D414yes—
523C22×C4C22×D412yes—
524C22×C4C22×D412yes—
525C22×C4C22×D414yes—
526C22×C4C22×D414yes—
527C22×C4C22×D414yes—
528C22×C4C22×D414yes—
529C22×C4C22×D412yes—
530C22×C4C22×D412yes—
531C22×C4C22×D414yes—
532C22×C4C22×D412yes—
533C22×C4C2×#4114yes—
534C22×C4C2×#4114yes—
535C4⋊C4—216no—
536C4⋊C4—216no—
537C4⋊C4—216no—
538C4⋊C4—28no—
539C4⋊C4—216no—
540C4⋊C4—216no—
541C4⋊C4—216no—
542C4⋊C4—216no—
543C4⋊C4—416no—
544C4⋊C4—44no—
545C4⋊C4—48no—
546C4⋊C4—48no—
547C4⋊C4—44no—
548C4⋊C4—88no—
549C4⋊C4—88no—
550C22⋊C4—216no—
551C22⋊C4—216no—
552C22⋊C4—216no—
553C22⋊C4—216no—
554C22⋊C4—216no—
555C22⋊C4—216no—
556C22⋊C4—216no—
557C22⋊C4—416no—
558C22⋊C4—48no—
559C22⋊C4—48no—
560C22⋊C4—48no—
561C22⋊C4—88no—
562C22⋊C4—88no—
563C22⋊C4—88no—
564C42—28no—
565C42—28no—
566C42—28no—
567C42—48no—
568C42—48no—
569C42#120116yes—
570C23—22no—
571C23—22no—
572C23—22no—
573C23—22no—
574C23—28no—
575C23—24no—
576C23—28no—
577C23—24no—
578C23—28no—
579C23—24no—
580C23—28no—
581C23—24no—
582C23—24no—
583C23—28no—
584C23—24no—
585C23—28no—
586C23—24no—
587C23—416no—
588C23—416no—
589C23—416no—
590C23—42no—
591C23—42no—
592C23—42no—
593C23—42no—
594C23—42no—
595C23—42no—
596C23—44no—
597C23—44no—
598C23—44no—
599C23—42no—
600C23—42no—
601C23—44no—
602C23—44no—
603C23—44no—
604C23—44no—
605C23—44no—
606C23—44no—
607C23—44no—
608C23—832no—
609C23—832no—
610C23—88no—
611C23—88no—
612C23—88no—
613C23—88no—
614C23#52514yes—
615C23#53614yes—
616C23#53714yes—
617C23#54118yes—
618C23#54218yes—
619C23C23×D411yescharacteristic
620C23C23×D412yes—
621C23C22×#4112yes—
622C23C2×H(5,𝔽2)11yescharacteristic
623C23C2×2−1+412yes—
624C23C2×2−1+411yescharacteristic
625C23#58512yes—
626C23#58512yes—
627C23#58512yes—
628Q8—416no—
629C2×C4—22no—
630C2×C4—22no—
631C2×C4—22no—
632C2×C4—22no—
633C2×C4—22no—
634C2×C4—22no—
635C2×C4—28no—
636C2×C4—24no—
637C2×C4—24no—
638C2×C4—28no—
639C2×C4—22no—
640C2×C4—22no—
641C2×C4—22no—
642C2×C4—24no—
643C2×C4—24no—
644C2×C4—24no—
645C2×C4—24no—
646C2×C4—24no—
647C2×C4—22no—
648C2×C4—22no—
649C2×C4—22no—
650C2×C4—22no—
651C2×C4—22no—
652C2×C4—22no—
653C2×C4—28no—
654C2×C4—28no—
655C2×C4—24no—
656C2×C4—24no—
657C2×C4—28no—
658C2×C4—28no—
659C2×C4—416no—
660C2×C4—416no—
661C2×C4—416no—
662C2×C4—416no—
663C2×C4—416no—
664C2×C4—416no—
665C2×C4—42no—
666C2×C4—42no—
667C2×C4—42no—
668C2×C4—42no—
669C2×C4—42no—
670C2×C4—42no—
671C2×C4—42no—
672C2×C4—42no—
673C2×C4—42no—
674C2×C4—42no—
675C2×C4—44no—
676C2×C4—44no—
677C2×C4—44no—
678C2×C4—42no—
679C2×C4—42no—
680C2×C4—42no—
681C2×C4—42no—
682C2×C4—44no—
683C2×C4—44no—
684C2×C4—44no—
685C2×C4—42no—
686C2×C4—42no—
687C2×C4—42no—
688C2×C4—42no—
689C2×C4—42no—
690C2×C4—42no—
691C2×C4—44no—
692C2×C4—44no—
693C2×C4—44no—
694C2×C4—44no—
695C2×C4—44no—
696C2×C4—44no—
697C2×C4—44no—
698C2×C4—44no—
699C2×C4—44no—
700C2×C4—44no—
701C2×C4—44no—
702C2×C4—44no—
703C2×C4—44no—
704C2×C4—44no—
705C2×C4—44no—
706C2×C4—44no—
707C2×C4—44no—
708C2×C4—44no—
709C2×C4C2×#12014yes—
710C2×C4C2×#12014yes—
711C2×C4C2×#12014yes—
712C22—24no—
713C22—216no—
714C22—216no—
715C22—24no—
716C22—24no—
717C22—24no—
718C22—24no—
719C22—24no—
720C22—48no—
721C22—48no—
722C22—44no—
723C22—44no—
724C22—44no—
725C22—832no—
726C22—82no—
727C22—82no—
728C22—84no—
729C22—84no—
730C22—82no—
731C22—82no—
732C22#263718yescomplemented
733C22C22×#12011yescharacteristic
734C22C2×#52511yescharacteristic
735C22C2×#53611yescharacteristic
736C22C2×#53711yescharacteristic
737C22#344911yescharacteristic
738C22#344911yescharacteristic
739C22#344911yescharacteristic
740C22C2×#54112yes—
741C22C2×#54212yes—
742C22D4×#4114yes—
743C22#348812yes—
744C22#348914yes—
745C22#348912yes—
746C22#352114yes—
747C22#356012yes—
748C22#356414yes—
749C22#356412yes—
750C4—24no—
751C4—24no—
752C4—24no—
753C4—44no—
754C4—42no—
755C4—44no—
756C4—44no—
757C4—42no—
758C4—44no—
759C4—42no—
760C4—44no—
761C4—84no—
762C4—84no—
763C4—82no—
764C4—82no—
765C2—28no—
766C2—84no—
767C2C2×#263711yescharacteristic
768C2#3473611yescharacteristic
769C2#3514311yescharacteristic
770C2#3525111yescharacteristic
771C2#3530511yescharacteristic
772C2#3753811yescharacteristic
773C2#3754811yescharacteristic
774C2#3772614yes—
775C2#3772714yes—
subgroupG/H
center, commutator, Frattini, socle, cosocleC24C25
prime radicalC26C23
LCSG ▷ C24 ▷ C1
UCSC1 ◁ C24 ◁ G
LECSG ▷ C24 ▷ C1

Complements

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

NH ≅ G/Ntype
2. C2×#2637C2semidirect
3. C2×C4×C22⋊Q8C2semidirect
4. #16673C2semidirect
5. #16659C2semidirect
6. #16656C2semidirect
7. #15072C2semidirect
8. #14821C2semidirect
10. #14728C2semidirect
12. #14720C2semidirect
14. #14682C2semidirect
15. #14291C2semidirect
16. #14039C2semidirect
25. C22×C4×Q8C22semidirect
34. C2×#398C22semidirect
35. C2×#398C22semidirect
38. C2×#395C22semidirect
41. C2×#391C22semidirect
42. C2×#389C22semidirect
44. C2×#387C22semidirect
45. C2×#387C22semidirect
49. C2×#382C22semidirect
54. C2×C4×C4⋊C4C22semidirect
55. C2×C4×C4⋊C4C22semidirect
57. #1444C22semidirect
58. #1444C22semidirect
59. #1442C22semidirect
60. #1442C22semidirect
61. #1441C22semidirect
62. #1441C22semidirect
63. #1441C22semidirect
64. #1441C22semidirect
65. #1441C22semidirect
76. #1436C22semidirect
77. C4⋊#95C22semidirect
78. #1434C22semidirect
79. #1434C22semidirect
732. C22#2637semidirect

Maximal subgroups

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

subgroupindex
C23×#1262
C2×#26372
C2×C4×C22⋊Q82
#166732
#166592
#166562
#150722
#148212
#148202
#147282
#147262
#147202
#147172
#146822
#142912
#140392
#139912