Finite Group Databasebeta

← #4341441

Subgroups — #4341441

Order 512.

4114 conjugacy classes of subgroups.

The subgroup lattice has 808 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#2697C212yesmaximal, complemented
2C2×#2408C211yesmaximal, characteristic
3C2×#2322C211yesmaximal, characteristic, complemented
4#16815C212yesmaximal, complemented
5#16660C212yesmaximal, complemented
6#16519C212yesmaximal, complemented
7#16282C212yesmaximal, complemented
8#15619C214yesmaximal, complemented
9#15282C214yesmaximal, complemented
10#14996C212yesmaximal, complemented
11#14813C212yesmaximal, complemented
12#14724C212yesmaximal, complemented
13#14719C212yesmaximal, complemented
14#14357C212yesmaximal, complemented
15#13941C211yesmaximal, characteristic, complemented
16C24×D4C2211yescharacteristic
17C22×#123C2211yescharacteristic
18C22×#121C2212yes—
19C22×#120C2212yes—
20C22×C4×D4C2211yescharacteristic
21C23×C4⋊C4C2211yescharacteristic, complemented
22#2697—216no—
23#2408—28no—
24C2×#397C2214yes—
25C2×#396C2214yescomplemented
26C2×#394C2212yes—
27C2×#394C2214yes—
28C2×#394C2212yes—
29C2×#394C2212yes—
30C2×#394C2214yescomplemented
31C2×#392C2212yes—
32#2322—28no—
33C2×#390C2212yes—
34C2×#390C2212yes—
35C2×#389C2212yescomplemented
36C2×#388C2212yes—
37C2×#388C2214yescomplemented
38C2×#388C2214yescomplemented
39C2×#387C2212yescomplemented
40C2×#386C2211yescharacteristic
41C2×#386C2214yescomplemented
42C2×#386C2214yescomplemented
43C2×#385C2212yes—
44C2×#385C2211yescharacteristic, complemented
45C2×#382C2211yescharacteristic, complemented
46C2×#381C2211yescharacteristic, complemented
47C2×#380C2211yescharacteristic
48C2×#379C2212yes—
49C2×#379C2214yes—
50C2×#379C2214yes—
51C2×C4×C4⋊C4C2211yescharacteristic, complemented
52C2×C4×C22⋊C4C2211yescharacteristic, complemented
53#1444C2212yescomplemented
54#1443C2214yescomplemented
55#1442C2212yescomplemented
56#1441C2214yescomplemented
57#1441C2212yescomplemented
58#1441C2212yescomplemented
59#1440C2214yes—
60#1440C2214yescomplemented
61#1439C2212yes—
62#1439C2214yescomplemented
63#1439C2214yescomplemented
64#1439C2214yescomplemented
65#1439C2212yescomplemented
66#1439C2214yescomplemented
67#1439C2214yescomplemented
68#1439C2214yescomplemented
69#1438C2214yes—
70#1438C2212yes—
71#1438C2212yes—
72#1438C2214yescomplemented
73#1437C2214yescomplemented
74#1437C2214yescomplemented
75C4⋊#95C2212yescomplemented
76C22⋊#95C2212yes—
77C22⋊#95C2212yescomplemented
78C26C2312yes—
79C23×D4—24no—
80C23×D4—42no—
81C23×D4—42no—
82C23×D4—48no—
83C23×D4C2312yes—
84C23×D4C2314yes—
85C23×D4C2312yes—
86C23×D4C2311yescharacteristic
87C24×C4C2311yescharacteristic
88C24×C4C2311yescharacteristic
89C24×C4C2311yescharacteristic
90C24×C4C2311yescharacteristic
91C2×#123—24no—
92C2×#123—24no—
93C2×#123D418yescomplemented
94C2×#121—28no—
95C2×#121—48no—
96C2×#120—28no—
97C2×#120—28no—
98C2×#120—28no—
99C2×C4×D4—42no—
100C2×C4×D4—42no—
101C2×C4×D4D418yes—
102C22×C4⋊C4—24no—
103C22×C4⋊C4—42no—
104C22×C4⋊C4—42no—
105C22×C4⋊C4C2312yes—
106C22×C4⋊C4C2312yes—
107C22×C4⋊C4C2312yes—
108C22×C4⋊C4C2314yes—
109C22×C4⋊C4C2312yes—
110C22×C4⋊C4C2312yes—
111C22×C4⋊C4C2312yes—
112C22×C4⋊C4C2312yes—
113C22×C4⋊C4C2311yescharacteristic
114C22×C22⋊C4C2314yes—
115C22×C22⋊C4C2312yes—
116C22×C22⋊C4C2314yes—
117C22×C22⋊C4C2314yes—
118C22×C22⋊C4C2312yes—
119C22×C22⋊C4C2311yescharacteristic
120C22×C22⋊C4C2314yes—
121C22×C22⋊C4C2314yes—
122C22×C22⋊C4C2314yes—
123C22×C22⋊C4C2314yes—
124C22×C22⋊C4C2314yes—
125C22×C22⋊C4C2314yes—
126C22×C22⋊C4C2314yes—
127C22×C22⋊C4C2314yes—
128C22×C22⋊C4C2314yes—
129C22×C22⋊C4C2311yescharacteristic
130C22×C22⋊C4C2312yes—
131C22×C22⋊C4C2314yes—
132C22×C22⋊C4C2311yescharacteristic
133C22×C22⋊C4C2311yescharacteristic
134C22×C42C2311yescharacteristic
135C22×C42C2312yes—
136C22×C42C2312yes—
137#397—216no—
138#396—216no—
139#394—28no—
140#394—216no—
141#394—44no—
142#394—44no—
143#394—48no—
144#392—28no—
145#390—28no—
146#390—28no—
147#389—28no—
148#388—216no—
149#388—28no—
150#388—48no—
151#387—28no—
152#386—24no—
153#386—216no—
154#386—48no—
155#385—28no—
156#385—24no—
157#382—42no—
158#381—24no—
159#380—24no—
160#379—28no—
161#379—216no—
162#379—48no—
163C4×C4⋊C4—42no—
164C4×C22⋊C4—24no—
165C2×#95C2312yes—
166C2×#95C2312yes—
167C2×#95C2312yes—
168C2×#95C2314yes—
169C2×#95C2314yes—
170C2×#95C2314yes—
171C2×#95C2312yes—
172C2×#95C2312yes—
173C2×#95C2312yes—
174C2×#95C2312yes—
175C2×#95C2312yes—
176C2×#95C2314yes—
177C2×#95C2314yes—
178C2×#95C2314yes—
179C2×#95C2314yes—
180C2×#95C2314yes—
181C2×#95C2312yes—
182C2×#95C2314yes—
183C25—24no—
184C25—28no—
185C25—24no—
186C25—24no—
187C25—44no—
188C25—42no—
189C25—42no—
190C25—44no—
191C25—44no—
192C25—42no—
193C25—42no—
194C25C2414yes—
195C25C2411yescharacteristic
196C25C2411yescharacteristic
197C22×D4—28no—
198C22×D4—28no—
199C22×D4—28no—
200C22×D4—28no—
201C22×D4—28no—
202C22×D4—28no—
203C22×D4—24no—
204C22×D4—24no—
205C22×D4—24no—
206C22×D4—24no—
207C22×D4—41no—
208C22×D4—41no—
209C22×D4—44no—
210C22×D4—44no—
211C22×D4—42no—
212C22×D4—42no—
213C22×D4—41no—
214C22×D4—41no—
215C22×D4—416no—
216C22×D4—44no—
217C22×D4—44no—
218C22×D4—44no—
219C22×D4—432no—
220C22×D4—432no—
221C22×D4—432no—
222C22×D4C2×D414yes—
223C22×D4C2×D414yes—
224C22×D4#4114yes—
225C23×C4—22no—
226C23×C4—22no—
227C23×C4—22no—
228C23×C4—22no—
229C23×C4—22no—
230C23×C4—22no—
231C23×C4—22no—
232C23×C4—41no—
233C23×C4—41no—
234C23×C4—41no—
235C23×C4—41no—
236C23×C4—44no—
237C23×C4—41no—
238C23×C4—41no—
239C23×C4—44no—
240C23×C4—44no—
241C23×C4C2×D414yes—
242C23×C4C2×D414yes—
243C23×C4C2×D414yescomplemented
244C23×C4C2414yes—
245C23×C4C2414yes—
246C23×C4C2412yes—
247C23×C4C2412yes—
248C23×C4C2414yes—
249C23×C4C2412yes—
250C23×C4C2411yescharacteristic
251C23×C4C2412yes—
252C23×C4C2411yescharacteristic
253C23×C4C2411yescharacteristic
254C23×C4C2411yescharacteristic
255C23×C4C2411yescharacteristic
256#123—232no—
257#121—432no—
258#120—432no—
259C4×D4—416no—
260C2×C4⋊C4—24no—
261C2×C4⋊C4—24no—
262C2×C4⋊C4—24no—
263C2×C4⋊C4—24no—
264C2×C4⋊C4—24no—
265C2×C4⋊C4—24no—
266C2×C4⋊C4—24no—
267C2×C4⋊C4—24no—
268C2×C4⋊C4—24no—
269C2×C4⋊C4—28no—
270C2×C4⋊C4—42no—
271C2×C4⋊C4—42no—
272C2×C4⋊C4—44no—
273C2×C4⋊C4—41no—
274C2×C4⋊C4—41no—
275C2×C4⋊C4—44no—
276C2×C4⋊C4—42no—
277C2×C4⋊C4—416no—
278C2×C4⋊C4—42no—
279C2×C4⋊C4—44no—
280C2×C4⋊C4—42no—
281C2×C4⋊C4—44no—
282C2×C4⋊C4—44no—
283C2×C4⋊C4C2×D414yes—
284C2×C4⋊C4C2×D418yescomplemented
285C2×C22⋊C4—22no—
286C2×C22⋊C4—24no—
287C2×C22⋊C4—24no—
288C2×C22⋊C4—22no—
289C2×C22⋊C4—24no—
290C2×C22⋊C4—24no—
291C2×C22⋊C4—22no—
292C2×C22⋊C4—24no—
293C2×C22⋊C4—28no—
294C2×C22⋊C4—28no—
295C2×C22⋊C4—28no—
296C2×C22⋊C4—28no—
297C2×C22⋊C4—28no—
298C2×C22⋊C4—28no—
299C2×C22⋊C4—28no—
300C2×C22⋊C4—28no—
301C2×C22⋊C4—28no—
302C2×C22⋊C4—24no—
303C2×C22⋊C4—28no—
304C2×C22⋊C4—28no—
305C2×C22⋊C4—28no—
306C2×C22⋊C4—28no—
307C2×C22⋊C4—28no—
308C2×C22⋊C4—28no—
309C2×C22⋊C4—28no—
310C2×C22⋊C4—44no—
311C2×C22⋊C4—44no—
312C2×C22⋊C4—41no—
313C2×C22⋊C4—41no—
314C2×C22⋊C4—44no—
315C2×C22⋊C4—41no—
316C2×C22⋊C4—41no—
317C2×C22⋊C4—41no—
318C2×C22⋊C4—41no—
319C2×C22⋊C4—44no—
320C2×C22⋊C4—44no—
321C2×C22⋊C4—44no—
322C2×C22⋊C4—44no—
323C2×C22⋊C4—44no—
324C2×C22⋊C4—44no—
325C2×C22⋊C4—44no—
326C2×C22⋊C4—44no—
327C2×C22⋊C4—44no—
328C2×C22⋊C4—44no—
329C2×C22⋊C4—44no—
330C2×C22⋊C4—44no—
331C2×C22⋊C4—44no—
332C2×C22⋊C4—44no—
333C2×C22⋊C4—44no—
334C2×C22⋊C4—44no—
335C2×C22⋊C4—44no—
336C2×C22⋊C4—44no—
337C2×C22⋊C4—44no—
338C2×C22⋊C4—44no—
339C2×C22⋊C4—44no—
340C2×C22⋊C4C2×D418yes—
341C2×C22⋊C4C2×D414yes—
342C2×C22⋊C4C2×D414yes—
343C2×C22⋊C4C2×D414yescomplemented
344C2×C42—22no—
345C2×C42—22no—
346C2×C42—24no—
347C2×C42—24no—
348C2×C42—42no—
349C2×C42—44no—
350C2×C42—42no—
351C2×C42C2×D414yes—
352#95—24no—
353#95—24no—
354#95—24no—
355#95—24no—
356#95—24no—
357#95—24no—
358#95—28no—
359#95—28no—
360#95—28no—
361#95—24no—
362#95—24no—
363#95—44no—
364#95—42no—
365#95—44no—
366#95—44no—
367#95—44no—
368#95—44no—
369#95—44no—
370C24—24no—
371C24—21no—
372C24—21no—
373C24—21no—
374C24—21no—
375C24—24no—
376C24—21no—
377C24—21no—
378C24—24no—
379C24—24no—
380C24—21no—
381C24—21no—
382C24—24no—
383C24—24no—
384C24—24no—
385C24—24no—
386C24—24no—
387C24—24no—
388C24—24no—
389C24—24no—
390C24—24no—
391C24—24no—
392C24—24no—
393C24—24no—
394C24—24no—
395C24—24no—
396C24—416no—
397C24—48no—
398C24—416no—
399C24—416no—
400C24—48no—
401C24—416no—
402C24—48no—
403C24—48no—
404C24—48no—
405C24—88no—
406C24—84no—
407C24—84no—
408C24—88no—
409C24—84no—
410C24—84no—
411C24—88no—
412C24—88no—
413C24—88no—
414C24—88no—
415C24—88no—
416C24—84no—
417C24—84no—
418C24—88no—
419C24C22×D412yes—
420C24C22×D412yes—
421C24C22×D412yes—
422C24C22×D412yes—
423C24C2×#4112yes—
424C24C2×#4112yes—
425C24H(5,𝔽2)18yes—
426C24C2511yescharacteristic
427C2×D4—216no—
428C2×D4—44no—
429C2×D4—44no—
430C2×D4—44no—
431C2×D4—44no—
432C2×D4—44no—
433C2×D4—44no—
434C2×D4—416no—
435C2×D4—416no—
436C2×D4—416no—
437C2×D4—48no—
438C2×D4—48no—
439C2×D4—48no—
440C2×D4—416no—
441C2×D4—4128no—
442C2×D4—48no—
443C2×D4—416no—
444C2×D4—416no—
445C2×D4—416no—
446C2×D4—416no—
447C2×D4—48no—
448C2×D4—88no—
449C2×D4—88no—
450C2×D4—88no—
451C2×D4#121116yes—
452C22×C4—21no—
453C22×C4—21no—
454C22×C4—24no—
455C22×C4—21no—
456C22×C4—21no—
457C22×C4—28no—
458C22×C4—22no—
459C22×C4—22no—
460C22×C4—22no—
461C22×C4—22no—
462C22×C4—21no—
463C22×C4—24no—
464C22×C4—24no—
465C22×C4—21no—
466C22×C4—24no—
467C22×C4—22no—
468C22×C4—22no—
469C22×C4—21no—
470C22×C4—21no—
471C22×C4—21no—
472C22×C4—21no—
473C22×C4—24no—
474C22×C4—24no—
475C22×C4—22no—
476C22×C4—22no—
477C22×C4—28no—
478C22×C4—28no—
479C22×C4—22no—
480C22×C4—24no—
481C22×C4—24no—
482C22×C4—22no—
483C22×C4—24no—
484C22×C4—24no—
485C22×C4—24no—
486C22×C4—24no—
487C22×C4—24no—
488C22×C4—24no—
489C22×C4—24no—
490C22×C4—24no—
491C22×C4—24no—
492C22×C4—24no—
493C22×C4—24no—
494C22×C4—24no—
495C22×C4—24no—
496C22×C4—24no—
497C22×C4—22no—
498C22×C4—22no—
499C22×C4—24no—
500C22×C4—24no—
501C22×C4—24no—
502C22×C4—24no—
503C22×C4—22no—
504C22×C4—22no—
505C22×C4—24no—
506C22×C4—24no—
507C22×C4—24no—
508C22×C4—24no—
509C22×C4—24no—
510C22×C4—48no—
511C22×C4—44no—
512C22×C4—44no—
513C22×C4—48no—
514C22×C4—48no—
515C22×C4—48no—
516C22×C4—44no—
517C22×C4—44no—
518C22×C4—44no—
519C22×C4—44no—
520C22×C4—44no—
521C22×C4—84no—
522C22×C4—84no—
523C22×C4—84no—
524C22×C4—84no—
525C22×C4—84no—
526C22×C4C22×D412yes—
527C22×C4C22×D414yes—
528C22×C4C22×D412yes—
529C22×C4C22×D414yes—
530C22×C4C22×D412yes—
531C22×C4C22×D412yes—
532C22×C4C22×D412yes—
533C22×C4C22×D412yes—
534C22×C4C2×#4112yes—
535C22×C4H(5,𝔽2)12yes—
536C22×C4H(5,𝔽2)12yes—
537C4⋊C4—216no—
538C4⋊C4—44no—
539C4⋊C4—48no—
540C4⋊C4—48no—
541C4⋊C4—48no—
542C4⋊C4—48no—
543C4⋊C4—84no—
544C4⋊C4—84no—
545C4⋊C4—88no—
546C22⋊C4—216no—
547C22⋊C4—28no—
548C22⋊C4—44no—
549C22⋊C4—44no—
550C22⋊C4—416no—
551C22⋊C4—416no—
552C22⋊C4—44no—
553C22⋊C4—416no—
554C22⋊C4—48no—
555C22⋊C4—416no—
556C22⋊C4—88no—
557C22⋊C4—88no—
558C22⋊C4—88no—
559C22⋊C4—88no—
560C22⋊C4—84no—
561C22⋊C4—88no—
562C22⋊C4—88no—
563C22⋊C4—88no—
564C22⋊C4—88no—
565C22⋊C4—88no—
566C42—28no—
567C42—84no—
568C42—84no—
569C23—22no—
570C23—22no—
571C23—22no—
572C23—22no—
573C23—24no—
574C23—24no—
575C23—28no—
576C23—28no—
577C23—22no—
578C23—22no—
579C23—22no—
580C23—22no—
581C23—24no—
582C23—24no—
583C23—22no—
584C23—22no—
585C23—22no—
586C23—22no—
587C23—28no—
588C23—28no—
589C23—28no—
590C23—28no—
591C23—28no—
592C23—28no—
593C23—28no—
594C23—28no—
595C23—28no—
596C23—42no—
597C23—42no—
598C23—42no—
599C23—42no—
600C23—44no—
601C23—44no—
602C23—42no—
603C23—42no—
604C23—42no—
605C23—42no—
606C23—44no—
607C23—44no—
608C23—432no—
609C23—44no—
610C23—44no—
611C23—44no—
612C23—44no—
613C23—44no—
614C23—44no—
615C23—44no—
616C23—44no—
617C23—44no—
618C23—44no—
619C23—44no—
620C23—44no—
621C23—44no—
622C23—44no—
623C23—44no—
624C23—44no—
625C23—44no—
626C23—44no—
627C23—44no—
628C23—44no—
629C23—44no—
630C23—44no—
631C23—44no—
632C23—44no—
633C23—44no—
634C23—44no—
635C23—44no—
636C23—44no—
637C23—832no—
638C23—816no—
639C23—816no—
640C23—816no—
641C23—832no—
642C23—832no—
643C23—832no—
644C23—816no—
645C23—816no—
646C23—816no—
647C23C2×#12114yes—
648C23C2×#12114yes—
649C23C23×D411yescharacteristic
650C23C23×D411yescharacteristic
651C23C22×#4111yescharacteristic
652C23C2×H(5,𝔽2)11yescharacteristic
653C23C2×H(5,𝔽2)11yescharacteristic
654C23C2×H(5,𝔽2)14yes—
655C23#58511yescharacteristic
656C23#58511yescharacteristic
657C23#58514yes—
658D4—416no—
659D4—432no—
660D4—432no—
661D4—832no—
662C2×C4—22no—
663C2×C4—22no—
664C2×C4—24no—
665C2×C4—22no—
666C2×C4—22no—
667C2×C4—22no—
668C2×C4—22no—
669C2×C4—24no—
670C2×C4—24no—
671C2×C4—24no—
672C2×C4—24no—
673C2×C4—22no—
674C2×C4—22no—
675C2×C4—22no—
676C2×C4—24no—
677C2×C4—24no—
678C2×C4—28no—
679C2×C4—24no—
680C2×C4—24no—
681C2×C4—24no—
682C2×C4—416no—
683C2×C4—416no—
684C2×C4—42no—
685C2×C4—42no—
686C2×C4—42no—
687C2×C4—42no—
688C2×C4—42no—
689C2×C4—42no—
690C2×C4—44no—
691C2×C4—42no—
692C2×C4—42no—
693C2×C4—42no—
694C2×C4—42no—
695C2×C4—42no—
696C2×C4—42no—
697C2×C4—44no—
698C2×C4—42no—
699C2×C4—42no—
700C2×C4—42no—
701C2×C4—44no—
702C2×C4—42no—
703C2×C4—42no—
704C2×C4—44no—
705C2×C4—44no—
706C2×C4—44no—
707C2×C4—44no—
708C2×C4—44no—
709C2×C4—44no—
710C2×C4—44no—
711C2×C4—44no—
712C2×C4—44no—
713C2×C4—42no—
714C2×C4—44no—
715C2×C4—44no—
716C2×C4—44no—
717C2×C4—44no—
718C2×C4—44no—
719C2×C4—44no—
720C2×C4—44no—
721C2×C4—44no—
722C2×C4—44no—
723C2×C4—44no—
724C2×C4—44no—
725C2×C4—44no—
726C2×C4—44no—
727C2×C4—44no—
728C2×C4—88no—
729C2×C4—88no—
730C2×C4C2×#12114yes—
731C2×C4#53414yes—
732C22—28no—
733C22—28no—
734C22—24no—
735C22—24no—
736C22—42no—
737C22—42no—
738C22—44no—
739C22—44no—
740C22—42no—
741C22—42no—
742C22—44no—
743C22—44no—
744C22—44no—
745C22—44no—
746C22—44no—
747C22—44no—
748C22—44no—
749C22—44no—
750C22—48no—
751C22—48no—
752C22—48no—
753C22—48no—
754C22—48no—
755C22—48no—
756C22—48no—
757C22—864no—
758C22—84no—
759C22—84no—
760C22—84no—
761C22—84no—
762C22—84no—
763C22—84no—
764C22—84no—
765C22—84no—
766C22C22×#12111yescharacteristic
767C22C2×#53411yescharacteristic
768C22#344911yescharacteristic
769C22#348412yes—
770C22#348814yes—
771C22#349611yescharacteristic
772C22#349611yescharacteristic
773C22#350012yes—
774C22#350511yescharacteristic
775C22#350511yescharacteristic
776C22#351314yes—
777C22#353212yes—
778C22#353212yes—
779C22#353314yes—
780C22#354012yes—
781C22#355112yes—
782C22#356014yes—
783C4—24no—
784C4—24no—
785C4—42no—
786C4—42no—
787C4—42no—
788C4—44no—
789C4—44no—
790C4—82no—
791C4—82no—
792C4—84no—
793C4—84no—
794C4—84no—
795C2—44no—
796C2—44no—
797C2—88no—
798C2#3500011yescharacteristic
799C2#3572812yes—
800C2#3671411yescharacteristic
801C2#3741911yescharacteristic
802C2#4050212yes—
803C2#4683612yes—
804C2#4709612yes—
805C2#4823512yes—
806C2#5106012yes—
subgroupG/H
center, commutator, Frattini, socle, cosocleC24C25
prime radicalC2×#2408C2
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×#2697C2semidirect
3. C2×#2322C2semidirect
4. #16815C2semidirect
5. #16660C2semidirect
6. #16519C2semidirect
7. #16282C2semidirect
8. #15619C2semidirect
9. #15282C2semidirect
10. #14996C2semidirect
11. #14813C2semidirect
12. #14724C2semidirect
13. #14719C2semidirect
14. #14357C2semidirect
15. #13941C2semidirect
21. C23×C4⋊C4C22semidirect
25. C2×#396C22semidirect
30. C2×#394C22semidirect
35. C2×#389C22semidirect
37. C2×#388C22semidirect
38. C2×#388C22semidirect
39. C2×#387C22semidirect
41. C2×#386C22semidirect
42. C2×#386C22semidirect
44. C2×#385C22semidirect
45. C2×#382C22semidirect
46. C2×#381C22semidirect
51. C2×C4×C4⋊C4C22semidirect
52. C2×C4×C22⋊C4C22semidirect
53. #1444C22semidirect
54. #1443C22semidirect
55. #1442C22semidirect
56. #1441C22semidirect
57. #1441C22semidirect
58. #1441C22semidirect
60. #1440C22semidirect
62. #1439C22semidirect
63. #1439C22semidirect
64. #1439C22semidirect
65. #1439C22semidirect
66. #1439C22semidirect
67. #1439C22semidirect
68. #1439C22semidirect
72. #1438C22semidirect
73. #1437C22semidirect
74. #1437C22semidirect
75. C4⋊#95C22semidirect
77. C22⋊#95C22semidirect
93. C2×#123D4semidirect
243. C23×C4C2×D4semidirect
284. C2×C4⋊C4C2×D4semidirect
343. C2×C22⋊C4C2×D4semidirect

Maximal subgroups

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

subgroupindex
C2×#26972
C2×#24082
C2×#23222
#168152
#166602
#165192
#162822
#156192
#152822
#149962
#148132
#147242
#147192
#143572
#139412