Finite Group Databasebeta

← #719393

Subgroups — #719393

Order 512.

3868 conjugacy classes of subgroups.

The subgroup lattice has 797 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#2501C211yesmaximal, characteristic, complemented
2C2×#2411C212yesmaximal, complemented
3C2×#2617C211yesmaximal, characteristic
4C22×#397C211yesmaximal, characteristic, complemented
5C2×#2344C211yesmaximal, characteristic, complemented
6#16549C214yesmaximal, complemented
7#15648C214yesmaximal, complemented
8#15640C214yesmaximal, complemented
9#14912C212yesmaximal, complemented
10#14911C212yesmaximal, complemented
11#14778C214yesmaximal, complemented
12#14152C211yesmaximal, characteristic, complemented
13#14149C211yesmaximal, characteristic, complemented
14#14135C212yesmaximal, complemented
15#13775C211yesmaximal, characteristic, complemented
16C22×#123C2212yes—
17C22×#123C2212yes—
18C22×#121C2211yescharacteristic
19C22×#120C2212yes—
20C22×#117C2212yes—
21C23×C4⋊C4C2211yescharacteristic
22C23×C22⋊C4C2211yescharacteristic
23C23×C22⋊C4C2212yes—
24#2617—28no—
25#2501—28no—
26#2411—216no—
27C2×#399C2212yescomplemented
28C2×#399C2212yescomplemented
29C2×#397—28no—
30C2×#397C2214yes—
31C2×#397C2212yes—
32C2×#397C2212yes—
33C2×#397C2212yes—
34C2×#396C2214yes—
35C2×#394C2214yes—
36C2×#394C2214yes—
37C2×#392C2212yes—
38#2344—28no—
39C2×#390C2214yes—
40C2×#390C2212yescomplemented
41C2×#389C2212yescomplemented
42C2×#388C2214yes—
43C2×#387C2214yescomplemented
44C2×#386C2212yes—
45C2×#386C2212yes—
46C2×#386C2212yes—
47C2×#385C2212yes—
48C2×#384C2212yescomplemented
49C2×#381C2212yes—
50C2×#380C2211yescharacteristic
51C2×#379C2211yescharacteristic
52C2×#379C2211yescharacteristic
53C2×C4×C4⋊C4C2212yescomplemented
54C2×C4×C22⋊C4C2211yescharacteristic
55C2×C4×C22⋊C4C2211yescharacteristic
56C22×#95C2212yes—
57C22×#95C2211yescharacteristic
58#1445C2212yescomplemented
59#1442C2214yescomplemented
60#1441C2214yescomplemented
61#1441C2214yescomplemented
62#1441C2214yescomplemented
63#1440C2214yescomplemented
64#1439C2214yes—
65#1439C2214yes—
66#1439C2214yescomplemented
67#1439C2214yescomplemented
68#1438C2214yes—
69#1438C2214yes—
70#1438C2212yescomplemented
71#1437C2214yes—
72#1437C2214yes—
73#1437C2214yescomplemented
74#1437C2214yescomplemented
75#1436C2214yescomplemented
76#1436C2214yescomplemented
77C22⋊#95C2211yescharacteristic
78C22⋊#95C2212yes—
79C22⋊#95C2211yescharacteristic
80C26C2311yescharacteristic
81C23×D4C2312yes—
82C23×D4C2311yescharacteristic
83C23×D4C2314yes—
84C24×C4C2312yes—
85C24×C4C2311yescharacteristic
86C24×C4C2312yes—
87C24×C4C2311yescharacteristic
88C2×#123—28no—
89C2×#123—28no—
90C2×#123—28no—
91C2×#123—28no—
92C2×#123—44no—
93C2×#123—44no—
94C2×#121—24no—
95C2×#121—24no—
96C2×#121—24no—
97C2×#120—28no—
98C2×#120—28no—
99C2×#120—44no—
100C2×#117—28no—
101C2×#117—28no—
102C2×#117—44no—
103C22×C4⋊C4—24no—
104C22×C4⋊C4—24no—
105C22×C4⋊C4D418yescomplemented
106C22×C4⋊C4C2311yescharacteristic
107C22×C4⋊C4C2314yes—
108C22×C4⋊C4C2312yes—
109C22×C4⋊C4C2312yes—
110C22×C4⋊C4C2312yes—
111C22×C4⋊C4C2312yes—
112C22×C4⋊C4C2311yescharacteristic
113C22×C4⋊C4C2311yescharacteristic
114C22×C4⋊C4C2312yes—
115C22×C4⋊C4C2314yes—
116C22×C4⋊C4C2312yes—
117C22×C22⋊C4—28no—
118C22×C22⋊C4—24no—
119C22×C22⋊C4—28no—
120C22×C22⋊C4—24no—
121C22×C22⋊C4—24no—
122C22×C22⋊C4—44no—
123C22×C22⋊C4C2312yes—
124C22×C22⋊C4C2312yes—
125C22×C22⋊C4C2312yes—
126C22×C22⋊C4C2311yescharacteristic
127C22×C22⋊C4C2312yes—
128C22×C22⋊C4C2314yes—
129C22×C22⋊C4C2314yes—
130C22×C22⋊C4C2314yes—
131C22×C22⋊C4C2312yes—
132C22×C22⋊C4C2312yes—
133C22×C22⋊C4C2312yes—
134C22×C22⋊C4C2311yescharacteristic
135C22×C22⋊C4C2312yes—
136C22×C22⋊C4C2311yescharacteristic
137C22×C22⋊C4C2311yescharacteristic
138C22×C22⋊C4C2314yes—
139C22×C22⋊C4C2314yes—
140C22×C22⋊C4C2314yes—
141C22×C22⋊C4C2314yes—
142C22×C22⋊C4C2314yes—
143C22×C42C2314yes—
144C22×C42C2312yes—
145C22×C42C2312yes—
146#399—28no—
147#399—28no—
148#397—216no—
149#397—28no—
150#397—28no—
151#397—28no—
152#396—216no—
153#394—216no—
154#394—216no—
155#392—28no—
156#390—28no—
157#390—216no—
158#389—28no—
159#388—216no—
160#387—216no—
161#386—28no—
162#386—28no—
163#386—44no—
164#385—28no—
165#384—28no—
166#381—28no—
167#380D418yes—
168#379—24no—
169#379D418yescomplemented
170C4×C4⋊C4—28no—
171C4×C22⋊C4—24no—
172C4×C22⋊C4—24no—
173C2×#95—28no—
174C2×#95—24no—
175C2×#95C2314yes—
176C2×#95C2314yes—
177C2×#95C2314yes—
178C2×#95C2312yes—
179C2×#95C2314yes—
180C2×#95C2312yes—
181C2×#95C2314yes—
182C2×#95C2312yes—
183C2×#95C2312yes—
184C2×#95C2314yes—
185C2×#95C2314yes—
186C2×#95C2314yes—
187C2×#95C2314yes—
188C2×#95C2314yes—
189C2×#95C2314yes—
190C2×#95C2314yes—
191C2×#95C2312yes—
192C25—22no—
193C25—22no—
194C25—22no—
195C25—22no—
196C25—22no—
197C25—22no—
198C25—44no—
199C25—44no—
200C25C2×D414yes—
201C25C2412yes—
202C25C2412yes—
203C25C2411yescharacteristic
204C22×D4—24no—
205C22×D4—24no—
206C22×D4—24no—
207C22×D4—24no—
208C22×D4—24no—
209C22×D4—24no—
210C22×D4—24no—
211C22×D4—28no—
212C22×D4—22no—
213C22×D4—28no—
214C22×D4—22no—
215C22×D4—22no—
216C22×D4—44no—
217C22×D4—44no—
218C22×D4—44no—
219C22×D4—44no—
220C22×D4—44no—
221C22×D4—44no—
222C23×C4—24no—
223C23×C4—24no—
224C23×C4—24no—
225C23×C4—24no—
226C23×C4—24no—
227C23×C4—24no—
228C23×C4—22no—
229C23×C4—24no—
230C23×C4—24no—
231C23×C4—22no—
232C23×C4—22no—
233C23×C4—24no—
234C23×C4—44no—
235C23×C4—44no—
236C23×C4—44no—
237C23×C4—44no—
238C23×C4C2×D418yes—
239C23×C4C2×D414yes—
240C23×C4C2×D414yes—
241C23×C4#4114yes—
242C23×C4C2412yes—
243C23×C4C2414yes—
244C23×C4C2412yes—
245C23×C4C2412yes—
246C23×C4C2412yes—
247C23×C4C2412yes—
248C23×C4C2412yes—
249C23×C4C2412yes—
250C23×C4C2414yes—
251C23×C4C2412yes—
252C23×C4C2411yescharacteristic
253C23×C4C2411yescharacteristic
254#123—432no—
255#123—432no—
256#121—416no—
257#120—432no—
258#117—432no—
259C2×C4⋊C4—232no—
260C2×C4⋊C4—22no—
261C2×C4⋊C4—24no—
262C2×C4⋊C4—22no—
263C2×C4⋊C4—22no—
264C2×C4⋊C4—22no—
265C2×C4⋊C4—24no—
266C2×C4⋊C4—28no—
267C2×C4⋊C4—28no—
268C2×C4⋊C4—22no—
269C2×C4⋊C4—22no—
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—22no—
277C2×C4⋊C4—24no—
278C2×C4⋊C4—24no—
279C2×C4⋊C4—28no—
280C2×C4⋊C4—44no—
281C2×C4⋊C4—44no—
282C2×C4⋊C4—42no—
283C2×C4⋊C4—42no—
284C2×C4⋊C4—42no—
285C2×C4⋊C4—42no—
286C2×C4⋊C4—44no—
287C2×C4⋊C4—44no—
288C2×C4⋊C4C2×D418yes—
289C2×C4⋊C4C2×D414yes—
290C2×C4⋊C4C2×D414yes—
291C2×C4⋊C4C2×D418yes—
292C2×C22⋊C4—22no—
293C2×C22⋊C4—24no—
294C2×C22⋊C4—22no—
295C2×C22⋊C4—22no—
296C2×C22⋊C4—22no—
297C2×C22⋊C4—24no—
298C2×C22⋊C4—22no—
299C2×C22⋊C4—22no—
300C2×C22⋊C4—28no—
301C2×C22⋊C4—28no—
302C2×C22⋊C4—28no—
303C2×C22⋊C4—22no—
304C2×C22⋊C4—22no—
305C2×C22⋊C4—22no—
306C2×C22⋊C4—24no—
307C2×C22⋊C4—24no—
308C2×C22⋊C4—28no—
309C2×C22⋊C4—28no—
310C2×C22⋊C4—24no—
311C2×C22⋊C4—24no—
312C2×C22⋊C4—28no—
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—28no—
327C2×C22⋊C4—28no—
328C2×C22⋊C4—28no—
329C2×C22⋊C4—44no—
330C2×C22⋊C4—44no—
331C2×C22⋊C4—44no—
332C2×C22⋊C4—44no—
333C2×C22⋊C4—44no—
334C2×C22⋊C4—42no—
335C2×C22⋊C4—42no—
336C2×C22⋊C4—42no—
337C2×C22⋊C4—42no—
338C2×C22⋊C4—432no—
339C2×C22⋊C4—416no—
340C2×C22⋊C4—44no—
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⋊C4—44no—
349C2×C22⋊C4C2×D414yes—
350C2×C22⋊C4C2×D418yes—
351C2×C22⋊C4C2×D414yes—
352C2×C22⋊C4C2×D4116yes—
353C2×C22⋊C4#4114yes—
354C2×C42—28no—
355C2×C42—28no—
356C2×C42—24no—
357C2×C42—24no—
358C2×C42—44no—
359C2×C42—44no—
360C2×C42—44no—
361#95—28no—
362#95—28no—
363#95—24no—
364#95—24no—
365#95—24no—
366#95—24no—
367#95—28no—
368#95—28no—
369#95—28no—
370#95—28no—
371#95—28no—
372#95—44no—
373#95—44no—
374#95—44no—
375#95—44no—
376#95—44no—
377#95C2×D418yes—
378C24—24no—
379C24—24no—
380C24—28no—
381C24—22no—
382C24—22no—
383C24—22no—
384C24—22no—
385C24—22no—
386C24—22no—
387C24—24no—
388C24—24no—
389C24—24no—
390C24—24no—
391C24—28no—
392C24—28no—
393C24—22no—
394C24—22no—
395C24—22no—
396C24—22no—
397C24—22no—
398C24—22no—
399C24—22no—
400C24—24no—
401C24—24no—
402C24—24no—
403C24—24no—
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×D414yes—
419C24C22×D412yes—
420C24C22×D412yes—
421C24C22×D412yes—
422C24C2×#4112yes—
423C24C2×#4112yes—
424C24H(5,𝔽2)12yes—
425C24H(5,𝔽2)12yes—
426C24C2511yescharacteristic
427C2×D4—416no—
428C2×D4—48no—
429C2×D4—416no—
430C2×D4—48no—
431C2×D4—48no—
432C2×D4—48no—
433C2×D4—48no—
434C2×D4—48no—
435C2×D4—48no—
436C2×D4—48no—
437C2×D4—44no—
438C2×D4—84no—
439C2×D4—84no—
440C2×D4—88no—
441C2×D4—88no—
442C2×D4—88no—
443C2×D4—88no—
444C2×D4—88no—
445C22×C4—24no—
446C22×C4—24no—
447C22×C4—216no—
448C22×C4—216no—
449C22×C4—216no—
450C22×C4—22no—
451C22×C4—22no—
452C22×C4—22no—
453C22×C4—22no—
454C22×C4—22no—
455C22×C4—24no—
456C22×C4—22no—
457C22×C4—22no—
458C22×C4—22no—
459C22×C4—22no—
460C22×C4—22no—
461C22×C4—22no—
462C22×C4—22no—
463C22×C4—22no—
464C22×C4—24no—
465C22×C4—22no—
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—24no—
476C22×C4—24no—
477C22×C4—24no—
478C22×C4—24no—
479C22×C4—24no—
480C22×C4—22no—
481C22×C4—22no—
482C22×C4—24no—
483C22×C4—22no—
484C22×C4—24no—
485C22×C4—22no—
486C22×C4—22no—
487C22×C4—22no—
488C22×C4—22no—
489C22×C4—22no—
490C22×C4—22no—
491C22×C4—22no—
492C22×C4—22no—
493C22×C4—22no—
494C22×C4—24no—
495C22×C4—22no—
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—48no—
505C22×C4—48no—
506C22×C4—48no—
507C22×C4—48no—
508C22×C4—48no—
509C22×C4—48no—
510C22×C4—48no—
511C22×C4—48no—
512C22×C4—48no—
513C22×C4—48no—
514C22×C4—44no—
515C22×C4—48no—
516C22×C4—88no—
517C22×C4—84no—
518C22×C4—84no—
519C22×C4—88no—
520C22×C4#121116yes—
521C22×C4C22×D418yes—
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×#4114yes—
531C22×C4C2×#4112yes—
532C22×C4C2×#4112yes—
533C4⋊C4—28no—
534C4⋊C4—28no—
535C4⋊C4—216no—
536C4⋊C4—48no—
537C4⋊C4—416no—
538C4⋊C4—48no—
539C4⋊C4—48no—
540C4⋊C4—48no—
541C4⋊C4—48no—
542C4⋊C4—44no—
543C4⋊C4—88no—
544C22⋊C4—28no—
545C22⋊C4—216no—
546C22⋊C4—28no—
547C22⋊C4—28no—
548C22⋊C4—416no—
549C22⋊C4—48no—
550C22⋊C4—48no—
551C22⋊C4—48no—
552C22⋊C4—48no—
553C22⋊C4—416no—
554C22⋊C4—416no—
555C22⋊C4—416no—
556C22⋊C4—44no—
557C22⋊C4—48no—
558C22⋊C4—48no—
559C22⋊C4—48no—
560C22⋊C4—88no—
561C22⋊C4—88no—
562C22⋊C4—88no—
563C22⋊C4—88no—
564C42—416no—
565C42—48no—
566C42—48no—
567C23—24no—
568C23—24no—
569C23—28no—
570C23—24no—
571C23—24no—
572C23—24no—
573C23—24no—
574C23—28no—
575C23—28no—
576C23—28no—
577C23—24no—
578C23—24no—
579C23—24no—
580C23—28no—
581C23—28no—
582C23—432no—
583C23—42no—
584C23—44no—
585C23—416no—
586C23—42no—
587C23—42no—
588C23—42no—
589C23—44no—
590C23—44no—
591C23—42no—
592C23—42no—
593C23—44no—
594C23—42no—
595C23—42no—
596C23—44no—
597C23—44no—
598C23—44no—
599C23—44no—
600C23—44no—
601C23—44no—
602C23—42no—
603C23—42no—
604C23—42no—
605C23—42no—
606C23—42no—
607C23—42no—
608C23—42no—
609C23—42no—
610C23—42no—
611C23—44no—
612C23—44no—
613C23—44no—
614C23—42no—
615C23—42no—
616C23—44no—
617C23—44no—
618C23—44no—
619C23—44no—
620C23—44no—
621C23—44no—
622C23—44no—
623C23—44no—
624C23—44no—
625C23—816no—
626C23—816no—
627C23—88no—
628C23—88no—
629C23—816no—
630C23—816no—
631C23—816no—
632C23C2×#12114yes—
633C23#53214yes—
634C23#54014yes—
635C23D4214yes—
636C23D4214yes—
637C23#54614yes—
638C23#55014yes—
639C23C23×D411yescharacteristic
640C23C23×D411yescharacteristic
641C23C23×D411yescharacteristic
642C23C22×#4111yescharacteristic
643C23C22×#4111yescharacteristic
644C23C2×H(5,𝔽2)11yescharacteristic
645C23C2×H(5,𝔽2)11yescharacteristic
646C23#58514yes—
647C23#58514yes—
648D4—88no—
649D4—832no—
650D4—816no—
651C2×C4—24no—
652C2×C4—24no—
653C2×C4—24no—
654C2×C4—24no—
655C2×C4—24no—
656C2×C4—24no—
657C2×C4—24no—
658C2×C4—24no—
659C2×C4—24no—
660C2×C4—28no—
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—28no—
670C2×C4—28no—
671C2×C4—28no—
672C2×C4—416no—
673C2×C4—42no—
674C2×C4—42no—
675C2×C4—42no—
676C2×C4—42no—
677C2×C4—432no—
678C2×C4—42no—
679C2×C4—42no—
680C2×C4—42no—
681C2×C4—42no—
682C2×C4—42no—
683C2×C4—42no—
684C2×C4—42no—
685C2×C4—44no—
686C2×C4—44no—
687C2×C4—42no—
688C2×C4—42no—
689C2×C4—42no—
690C2×C4—44no—
691C2×C4—44no—
692C2×C4—44no—
693C2×C4—44no—
694C2×C4—44no—
695C2×C4—42no—
696C2×C4—42no—
697C2×C4—42no—
698C2×C4—44no—
699C2×C4—42no—
700C2×C4—44no—
701C2×C4—42no—
702C2×C4—42no—
703C2×C4—42no—
704C2×C4—42no—
705C2×C4—42no—
706C2×C4—42no—
707C2×C4—44no—
708C2×C4—44no—
709C2×C4—44no—
710C2×C4—44no—
711C2×C4—44no—
712C2×C4—42no—
713C2×C4—42no—
714C2×C4—42no—
715C2×C4—44no—
716C2×C4—44no—
717C2×C4—44no—
718C2×C4—44no—
719C2×C4—816no—
720C2×C4—88no—
721C2×C4C2×#12114yes—
722C2×C4C2×#12114yes—
723C22—24no—
724C22—28no—
725C22—24no—
726C22—28no—
727C22—28no—
728C22—28no—
729C22—28no—
730C22—28no—
731C22—48no—
732C22—44no—
733C22—44no—
734C22—44no—
735C22—48no—
736C22—832no—
737C22—82no—
738C22—82no—
739C22—84no—
740C22—84no—
741C22—82no—
742C22—82no—
743C22—82no—
744C22—82no—
745C22—82no—
746C22—82no—
747C22—82no—
748C22—82no—
749C22—82no—
750C22—84no—
751C22—84no—
752C22—84no—
753C22—84no—
754C22#242818yes—
755C22C22×#12111yescharacteristic
756C22C2×#53211yescharacteristic
757C22#344912yes—
758C22C2×#54011yescharacteristic
759C22C2×D4211yescharacteristic
760C22C2×D4211yescharacteristic
761C22C2×#54611yescharacteristic
762C22C2×#55011yescharacteristic
763C22#348512yes—
764C22#348514yes—
765C22#348712yes—
766C22#349112yes—
767C22#350012yes—
768C22#351012yes—
769C22#352114yes—
770C22#353314yes—
771C22#356014yes—
772C4—24no—
773C4—24no—
774C4—44no—
775C4—44no—
776C4—44no—
777C4—44no—
778C4—44no—
779C4—48no—
780C4—84no—
781C4—82no—
782C4—82no—
783C4—82no—
784C2—28no—
785C2—84no—
786C2—162no—
787C2C2×#242811yescharacteristic
788C2#3508911yescharacteristic
789C2#3567711yescharacteristic
790C2#3601212yes—
791C2#3765512yes—
792C2#3803112yes—
793C2#4138912yes—
794C2#4349212yes—
795C2#4445112yes—
subgroupG/H
center, commutator, Frattini, socle, cosocleC24C25
prime radicalC2×#2617C2
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×#2501C2semidirect
2. C2×#2411C2semidirect
4. C22×#397C2semidirect
5. C2×#2344C2semidirect
6. #16549C2semidirect
7. #15648C2semidirect
8. #15640C2semidirect
9. #14912C2semidirect
10. #14911C2semidirect
11. #14778C2semidirect
12. #14152C2semidirect
13. #14149C2semidirect
14. #14135C2semidirect
15. #13775C2semidirect
27. C2×#399C22semidirect
28. C2×#399C22semidirect
40. C2×#390C22semidirect
41. C2×#389C22semidirect
43. C2×#387C22semidirect
48. C2×#384C22semidirect
53. C2×C4×C4⋊C4C22semidirect
58. #1445C22semidirect
59. #1442C22semidirect
60. #1441C22semidirect
61. #1441C22semidirect
62. #1441C22semidirect
63. #1440C22semidirect
66. #1439C22semidirect
67. #1439C22semidirect
70. #1438C22semidirect
73. #1437C22semidirect
74. #1437C22semidirect
75. #1436C22semidirect
76. #1436C22semidirect
105. C22×C4⋊C4D4semidirect
169. #379D4semidirect

Maximal subgroups

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

subgroupindex
C2×#25012
C2×#24112
C2×#26172
C22×#3972
C2×#23442
#165492
#156482
#156402
#149122
#149112
#147782
#141522
#141492
#141352
#137752