Finite Group Databasebeta

← #626952

Subgroups — #626952

Order 512.

4050 conjugacy classes of subgroups.

The subgroup lattice has 815 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#2848C211yesmaximal, characteristic
2C2×#2627C211yesmaximal, characteristic, complemented
3C2×#2329C211yesmaximal, characteristic, complemented
4C22×#385C211yesmaximal, characteristic
5#15787C214yesmaximal, complemented
6#15441C214yesmaximal, complemented
7#15305C214yesmaximal, complemented
8#15276C214yesmaximal, complemented
9#14935C212yesmaximal, complemented
10#14726C212yesmaximal
11#14680C211yesmaximal, characteristic
12#14353C211yesmaximal, characteristic, complemented
13#14339C211yesmaximal, characteristic, complemented
14#14130C212yesmaximal, complemented
15#13903C212yesmaximal
16C25×C4C2211yescharacteristic
17C22×C22⋊Q8C2211yescharacteristic
18C22×C22⋊Q8C2212yes—
19C23×C4⋊C4C2211yescharacteristic
20C23×C4⋊C4C2211yescharacteristic
21C23×C22⋊C4C2211yescharacteristic
22C23×C22⋊C4C2211yescharacteristic
23#2848—28no—
24#2627—28no—
25C2×#400C2212yescomplemented
26C2×#398C2214yescomplemented
27C2×#396C2214yes—
28C2×#395C2212yescomplemented
29#2329—28no—
30C2×#391C2212yescomplemented
31C2×#389C2212yescomplemented
32C2×#389C2214yescomplemented
33C2×#387C2212yescomplemented
34C2×#387C2212yescomplemented
35C2×#385—28no—
36C2×#385C2212yes—
37C2×#385C2214yes—
38C2×#385C2212yes—
39C2×#385C2212yes—
40C2×#385C2214yes—
41C2×#385C2214yes—
42C2×#381C2212yes—
43C2×#381C2212yes—
44C2×#380C2211yescharacteristic
45C2×#380C2211yescharacteristic
46C2×#380C2212yes—
47C2×#380C2212yes—
48C2×#380C2211yescharacteristic
49C2×#380C2212yes—
50C2×#380C2212yes—
51C2×#380C2212yes—
52C2×#379C2212yes—
53C2×#379C2212yes—
54C2×C4×C22⋊C4C2212yes—
55C22×#95C2211yescharacteristic
56C22×#95C2211yescharacteristic
57#1444C2214yescomplemented
58#1444C2214yescomplemented
59#1444C2214yescomplemented
60#1443C2214yescomplemented
61#1442C2214yescomplemented
62#1441C2212yescomplemented
63#1441C2214yescomplemented
64#1441C2212yescomplemented
65#1441C2214yescomplemented
66#1441C2214yescomplemented
67#1441C2214yescomplemented
68#1439C2214yes—
69#1439C2214yes—
70#1439C2214yes—
71#1439C2214yes—
72#1439C2214yes—
73#1437C2214yes—
74#1437C2214yes—
75C4⋊#95C2214yescomplemented
76C22⋊#95C2212yes—
77C22⋊#95C2212yes—
78C22⋊#95C2214yes—
79C26C2311yescharacteristic
80C23×Q8C2311yescharacteristic
81C24×C4—24no—
82C24×C4—24no—
83C24×C4—24no—
84C24×C4—44no—
85C24×C4—44no—
86C24×C4C2311yescharacteristic
87C24×C4C2311yescharacteristic
88C24×C4C2312yes—
89C24×C4C2312yes—
90C24×C4C2311yescharacteristic
91C24×C4C2311yescharacteristic
92C24×C4C2311yescharacteristic
93C24×C4C2311yescharacteristic
94C2×C22⋊Q8—24no—
95C2×C22⋊Q8—24no—
96C2×C22⋊Q8—28no—
97C2×C22⋊Q8—44no—
98C2×C22⋊Q8—44no—
99C2×C22⋊Q8D418yes—
100C22×C4⋊C4—24no—
101C22×C4⋊C4—24no—
102C22×C4⋊C4—24no—
103C22×C4⋊C4—24no—
104C22×C4⋊C4—44no—
105C22×C4⋊C4C2312yes—
106C22×C4⋊C4C2312yes—
107C22×C4⋊C4C2314yes—
108C22×C4⋊C4C2314yes—
109C22×C4⋊C4C2312yes—
110C22×C4⋊C4C2311yescharacteristic
111C22×C4⋊C4C2314yes—
112C22×C4⋊C4C2312yes—
113C22×C4⋊C4C2312yes—
114C22×C4⋊C4C2312yes—
115C22×C4⋊C4C2314yes—
116C22×C4⋊C4C2312yes—
117C22×C4⋊C4C2311yescharacteristic
118C22×C4⋊C4C2311yescharacteristic
119C22×C4⋊C4C2314yes—
120C22×C22⋊C4—24no—
121C22×C22⋊C4—24no—
122C22×C22⋊C4—24no—
123C22×C22⋊C4—44no—
124C22×C22⋊C4Q818yescomplemented
125C22×C22⋊C4C2312yes—
126C22×C22⋊C4C2312yes—
127C22×C22⋊C4C2312yes—
128C22×C22⋊C4C2314yes—
129C22×C22⋊C4C2314yes—
130C22×C22⋊C4C2314yes—
131C22×C22⋊C4C2312yes—
132C22×C22⋊C4C2314yes—
133C22×C22⋊C4C2314yes—
134C22×C22⋊C4C2314yes—
135C22×C42C2312yes—
136C22×C42C2312yes—
137#400—28no—
138#398—216no—
139#396—48no—
140#395—28no—
141#391—28no—
142#389—28no—
143#389—48no—
144#387—28no—
145#387—28no—
146#385—28no—
147#385—216no—
148#385—28no—
149#385—28no—
150#385—216no—
151#385—216no—
152#381—28no—
153#381—44no—
154#380—24no—
155#380—24no—
156#380—24no—
157#380—28no—
158#380—28no—
159#380—44no—
160#380—44no—
161#380—44no—
162#379—28no—
163#379—44no—
164C4×C22⋊C4—28no—
165C2×#95—24no—
166C2×#95D418yes—
167C2×#95C2314yes—
168C2×#95C2312yes—
169C2×#95C2314yes—
170C2×#95C2314yes—
171C2×#95C2312yes—
172C2×#95C2314yes—
173C2×#95C2314yes—
174C2×#95C2314yes—
175C2×#95C2312yes—
176C2×#95C2312yes—
177C2×#95C2312yes—
178C2×#95C2312yes—
179C2×#95C2314yes—
180C2×#95C2312yes—
181C2×#95C2314yes—
182C2×#95C2314yes—
183C2×#95C2314yes—
184C2×#95C2314yes—
185C2×#95C2314yes—
186C2×#95C2314yes—
187C2×#95C2312yes—
188C2×#95C2312yes—
189C25—22no—
190C25—22no—
191C25—24no—
192C25—24no—
193C25—22no—
194C25—22no—
195C25—22no—
196C25—22no—
197C25—42no—
198C25—42no—
199C25C2×Q814yes—
200C25C2412yes—
201C25C2411yescharacteristic
202C22×Q8—22no—
203C22×Q8—22no—
204C22×Q8—42no—
205C22×Q8—42no—
206C22×Q8C2×D414yes—
207C23×C4—22no—
208C23×C4—22no—
209C23×C4—22no—
210C23×C4—22no—
211C23×C4—22no—
212C23×C4—24no—
213C23×C4—24no—
214C23×C4—22no—
215C23×C4—22no—
216C23×C4—22no—
217C23×C4—22no—
218C23×C4—24no—
219C23×C4—24no—
220C23×C4—24no—
221C23×C4—24no—
222C23×C4—24no—
223C23×C4—22no—
224C23×C4—22no—
225C23×C4—22no—
226C23×C4—22no—
227C23×C4—22no—
228C23×C4—24no—
229C23×C4—24no—
230C23×C4—24no—
231C23×C4—24no—
232C23×C4—42no—
233C23×C4—42no—
234C23×C4—42no—
235C23×C4—42no—
236C23×C4—42no—
237C23×C4—42no—
238C23×C4—42no—
239C23×C4—42no—
240C23×C4—42no—
241C23×C4—42no—
242C23×C4—42no—
243C23×C4—42no—
244C23×C4—42no—
245C23×C4—416no—
246C23×C4—432no—
247C23×C4—432no—
248C23×C4—416no—
249C23×C4—416no—
250C23×C4C2×D414yes—
251C23×C4C2×D414yes—
252C23×C4C2×D414yes—
253C23×C4C2×D414yes—
254C23×C4C2×Q814yes—
255C23×C4C2×Q814yes—
256C23×C4#4114yes—
257C23×C4#4114yes—
258C23×C4C2414yes—
259C23×C4C2414yes—
260C23×C4C2412yes—
261C23×C4C2412yes—
262C23×C4C2412yes—
263C23×C4C2412yes—
264C23×C4C2412yes—
265C23×C4C2412yes—
266C23×C4C2412yes—
267C23×C4C2412yes—
268C23×C4C2411yescharacteristic
269C23×C4C2411yescharacteristic
270C23×C4C2412yes—
271C22⋊Q8—232no—
272C22⋊Q8—432no—
273C2×C4⋊C4—22no—
274C2×C4⋊C4—24no—
275C2×C4⋊C4—22no—
276C2×C4⋊C4—24no—
277C2×C4⋊C4—28no—
278C2×C4⋊C4—24no—
279C2×C4⋊C4—24no—
280C2×C4⋊C4—24no—
281C2×C4⋊C4—24no—
282C2×C4⋊C4—24no—
283C2×C4⋊C4—28no—
284C2×C4⋊C4—24no—
285C2×C4⋊C4—24no—
286C2×C4⋊C4—28no—
287C2×C4⋊C4—28no—
288C2×C4⋊C4—28no—
289C2×C4⋊C4—22no—
290C2×C4⋊C4—22no—
291C2×C4⋊C4—24no—
292C2×C4⋊C4—24no—
293C2×C4⋊C4—24no—
294C2×C4⋊C4—28no—
295C2×C4⋊C4—44no—
296C2×C4⋊C4—44no—
297C2×C4⋊C4—44no—
298C2×C4⋊C4—42no—
299C2×C4⋊C4—42no—
300C2×C4⋊C4—44no—
301C2×C4⋊C4—416no—
302C2×C4⋊C4—416no—
303C2×C4⋊C4—44no—
304C2×C4⋊C4—44no—
305C2×C4⋊C4—42no—
306C2×C4⋊C4—42no—
307C2×C4⋊C4—42no—
308C2×C4⋊C4—42no—
309C2×C4⋊C4—44no—
310C2×C4⋊C4—44no—
311C2×C4⋊C4—44no—
312C2×C4⋊C4—44no—
313C2×C4⋊C4—44no—
314C2×C4⋊C4C2×D414yes—
315C2×C4⋊C4C2×D418yes—
316C2×C22⋊C4—24no—
317C2×C22⋊C4—24no—
318C2×C22⋊C4—232no—
319C2×C22⋊C4—28no—
320C2×C22⋊C4—28no—
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—24no—
329C2×C22⋊C4—24no—
330C2×C22⋊C4—24no—
331C2×C22⋊C4—28no—
332C2×C22⋊C4—24no—
333C2×C22⋊C4—28no—
334C2×C22⋊C4—28no—
335C2×C22⋊C4—28no—
336C2×C22⋊C4—28no—
337C2×C22⋊C4—28no—
338C2×C22⋊C4—44no—
339C2×C22⋊C4—44no—
340C2×C22⋊C4—44no—
341C2×C22⋊C4—416no—
342C2×C22⋊C4—44no—
343C2×C22⋊C4—44no—
344C2×C22⋊C4—44no—
345C2×C22⋊C4—44no—
346C2×C22⋊C4C2×D418yes—
347C2×C22⋊C4C2×Q8116yes—
348C2×C42—24no—
349C2×C42—24no—
350C2×C42—44no—
351C2×C42—44no—
352#95—28no—
353#95—24no—
354#95—24no—
355#95—28no—
356#95—24no—
357#95—24no—
358#95—24no—
359#95—28no—
360#95—28no—
361#95—24no—
362#95—24no—
363#95—28no—
364#95—28no—
365#95—28no—
366#95—44no—
367#95—44no—
368#95—44no—
369#95—44no—
370#95—44no—
371#95—44no—
372#95C2×D418yes—
373#95C2×D418yes—
374C24—22no—
375C24—22no—
376C24—22no—
377C24—22no—
378C24—28no—
379C24—28no—
380C24—216no—
381C24—28no—
382C24—216no—
383C24—22no—
384C24—22no—
385C24—22no—
386C24—22no—
387C24—22no—
388C24—22no—
389C24—22no—
390C24—22no—
391C24—22no—
392C24—22no—
393C24—22no—
394C24—22no—
395C24—28no—
396C24—28no—
397C24—48no—
398C24—48no—
399C24—48no—
400C24—48no—
401C24—48no—
402C24—48no—
403C24—48no—
404C24—48no—
405C24—48no—
406C24—44no—
407C24—48no—
408C24—44no—
409C24—44no—
410C24—44no—
411C24—44no—
412C24—44no—
413C24C22×D412yes—
414C24C22×D412yes—
415C24C22×Q814yes—
416C24C22×Q812yes—
417C24C2×#4112yes—
418C24C2×#4112yes—
419C24H(5,𝔽2)14yes—
420C24H(5,𝔽2)12yes—
421C242−1+414yes—
422C242−1+412yes—
423C24C2511yescharacteristic
424C2×Q8—28no—
425C2×Q8—48no—
426C2×Q8—82no—
427C2×Q8—82no—
428C2×Q8—84no—
429C22×C4—24no—
430C22×C4—22no—
431C22×C4—22no—
432C22×C4—22no—
433C22×C4—22no—
434C22×C4—24no—
435C22×C4—28no—
436C22×C4—216no—
437C22×C4—216no—
438C22×C4—28no—
439C22×C4—28no—
440C22×C4—28no—
441C22×C4—22no—
442C22×C4—22no—
443C22×C4—22no—
444C22×C4—22no—
445C22×C4—22no—
446C22×C4—22no—
447C22×C4—22no—
448C22×C4—22no—
449C22×C4—22no—
450C22×C4—22no—
451C22×C4—22no—
452C22×C4—22no—
453C22×C4—22no—
454C22×C4—22no—
455C22×C4—24no—
456C22×C4—24no—
457C22×C4—24no—
458C22×C4—22no—
459C22×C4—22no—
460C22×C4—24no—
461C22×C4—22no—
462C22×C4—22no—
463C22×C4—24no—
464C22×C4—24no—
465C22×C4—28no—
466C22×C4—22no—
467C22×C4—24no—
468C22×C4—22no—
469C22×C4—24no—
470C22×C4—22no—
471C22×C4—22no—
472C22×C4—24no—
473C22×C4—24no—
474C22×C4—22no—
475C22×C4—24no—
476C22×C4—24no—
477C22×C4—24no—
478C22×C4—22no—
479C22×C4—22no—
480C22×C4—24no—
481C22×C4—24no—
482C22×C4—24no—
483C22×C4—24no—
484C22×C4—24no—
485C22×C4—24no—
486C22×C4—24no—
487C22×C4—22no—
488C22×C4—22no—
489C22×C4—24no—
490C22×C4—24no—
491C22×C4—24no—
492C22×C4—24no—
493C22×C4—24no—
494C22×C4—24no—
495C22×C4—44no—
496C22×C4—48no—
497C22×C4—44no—
498C22×C4—44no—
499C22×C4—48no—
500C22×C4—44no—
501C22×C4—48no—
502C22×C4—48no—
503C22×C4—48no—
504C22×C4—48no—
505C22×C4—48no—
506C22×C4—48no—
507C22×C4—44no—
508C22×C4—44no—
509C22×C4—48no—
510C22×C4—48no—
511C22×C4—48no—
512C22×C4—48no—
513C22×C4—48no—
514C22×C4—48no—
515C22×C4—48no—
516C22×C4—48no—
517C22×C4—44no—
518C22×C4—4128no—
519C22×C4—44no—
520C22×C4—44no—
521C22×C4—44no—
522C22×C4—44no—
523C22×C4—44no—
524C22×C4—48no—
525C22×C4—48no—
526C22×C4—44no—
527C22×C4—44no—
528C22×C4—44no—
529C22×C4—84no—
530C22×C4—84no—
531C22×C4—84no—
532C22×C4—84no—
533C22×C4#121116yes—
534C22×C4C22⋊Q8116yescomplemented
535C22×C4C22×D414yes—
536C22×C4C22×D414yes—
537C22×C4C22×D414yes—
538C22×C4C22×D412yes—
539C22×C4C22×D412yes—
540C22×C4C22×D412yes—
541C22×C4C22×D412yes—
542C22×C4C22×D414yes—
543C22×C4C22×Q814yes—
544C22×C4C22×Q814yes—
545C22×C4C2×#4112yes—
546C22×C4C2×#4112yes—
547C22×C4C2×#4114yes—
548C22×C4H(5,𝔽2)14yes—
549C4⋊C4—28no—
550C4⋊C4—216no—
551C4⋊C4—416no—
552C4⋊C4—416no—
553C4⋊C4—416no—
554C4⋊C4—48no—
555C4⋊C4—48no—
556C4⋊C4—48no—
557C4⋊C4—82no—
558C4⋊C4—82no—
559C4⋊C4—84no—
560C4⋊C4—84no—
561C4⋊C4—88no—
562C4⋊C4—84no—
563C4⋊C4—88no—
564C22⋊C4—216no—
565C22⋊C4—232no—
566C22⋊C4—416no—
567C22⋊C4—416no—
568C22⋊C4—416no—
569C22⋊C4—48no—
570C22⋊C4—48no—
571C22⋊C4—48no—
572C22⋊C4—88no—
573C22⋊C4—88no—
574C42—84no—
575C42—84no—
576C23—24no—
577C23—24no—
578C23—22no—
579C23—22no—
580C23—24no—
581C23—22no—
582C23—22no—
583C23—24no—
584C23—24no—
585C23—24no—
586C23—24no—
587C23—24no—
588C23—24no—
589C23—24no—
590C23—24no—
591C23—24no—
592C23—232no—
593C23—24no—
594C23—24no—
595C23—24no—
596C23—24no—
597C23—24no—
598C23—24no—
599C23—24no—
600C23—24no—
601C23—24no—
602C23—24no—
603C23—24no—
604C23—24no—
605C23—24no—
606C23—24no—
607C23—24no—
608C23—24no—
609C23—24no—
610C23—24no—
611C23—432no—
612C23—432no—
613C23—416no—
614C23—416no—
615C23—432no—
616C23—416no—
617C23—416no—
618C23—432no—
619C23—416no—
620C23—42no—
621C23—42no—
622C23—42no—
623C23—42no—
624C23—42no—
625C23—42no—
626C23—42no—
627C23—42no—
628C23—42no—
629C23—42no—
630C23—42no—
631C23—42no—
632C23—42no—
633C23—42no—
634C23—42no—
635C23—42no—
636C23—416no—
637C23C2×#12114yes—
638C23C2×C22⋊Q814yes—
639C23#53714yes—
640C23#54418yes—
641C23D4×Q814yes—
642C23#55014yes—
643C23#55414yes—
644C23#55614yes—
645C23C23×D411yescharacteristic
646C23C23×D411yescharacteristic
647C23C23×Q811yescharacteristic
648C23C22×#4111yescharacteristic
649C23C22×#4111yescharacteristic
650C23C2×H(5,𝔽2)11yescharacteristic
651C23C2×H(5,𝔽2)12yes—
652C23C2×H(5,𝔽2)12yes—
653C23C2×2−1+411yescharacteristic
654C23C2×2−1+412yes—
655C23#58512yes—
656Q8—88no—
657C2×C4—28no—
658C2×C4—24no—
659C2×C4—24no—
660C2×C4—24no—
661C2×C4—22no—
662C2×C4—22no—
663C2×C4—22no—
664C2×C4—22no—
665C2×C4—24no—
666C2×C4—24no—
667C2×C4—24no—
668C2×C4—28no—
669C2×C4—24no—
670C2×C4—24no—
671C2×C4—24no—
672C2×C4—24no—
673C2×C4—24no—
674C2×C4—24no—
675C2×C4—24no—
676C2×C4—28no—
677C2×C4—24no—
678C2×C4—24no—
679C2×C4—24no—
680C2×C4—28no—
681C2×C4—24no—
682C2×C4—416no—
683C2×C4—416no—
684C2×C4—432no—
685C2×C4—432no—
686C2×C4—416no—
687C2×C4—42no—
688C2×C4—42no—
689C2×C4—42no—
690C2×C4—42no—
691C2×C4—42no—
692C2×C4—42no—
693C2×C4—42no—
694C2×C4—42no—
695C2×C4—42no—
696C2×C4—42no—
697C2×C4—42no—
698C2×C4—42no—
699C2×C4—44no—
700C2×C4—44no—
701C2×C4—44no—
702C2×C4—44no—
703C2×C4—416no—
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—42no—
713C2×C4—44no—
714C2×C4—42no—
715C2×C4—42no—
716C2×C4—44no—
717C2×C4—44no—
718C2×C4—42no—
719C2×C4—42no—
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—44no—
729C2×C4—44no—
730C2×C4—44no—
731C2×C4—44no—
732C2×C4—44no—
733C2×C4—88no—
734C2×C4—88no—
735C2×C4C2×#12114yes—
736C2×C4C2×#12114yes—
737C2×C4C2×C22⋊Q818yes—
738C22—24no—
739C22—24no—
740C22—28no—
741C22—28no—
742C22—24no—
743C22—24no—
744C22—28no—
745C22—24no—
746C22—24no—
747C22—28no—
748C22—28no—
749C22—28no—
750C22—28no—
751C22—464no—
752C22—44no—
753C22—44no—
754C22—44no—
755C22—44no—
756C22—44no—
757C22—44no—
758C22—44no—
759C22—44no—
760C22—44no—
761C22—44no—
762C22—44no—
763C22—44no—
764C22#253818yes—
765C22C22×#12111yescharacteristic
766C22C22×C22⋊Q811yescharacteristic
767C22C2×#53711yescharacteristic
768C22C2×#54412yes—
769C22#345912yes—
770C22C2×D4×Q811yescharacteristic
771C22C2×#55011yescharacteristic
772C22C2×#55411yescharacteristic
773C22C2×#55611yescharacteristic
774C22#348412yes—
775C22#348411yescharacteristic
776C22#348411yescharacteristic
777C22#348511yescharacteristic
778C22#348611yescharacteristic
779C22#348912yes—
780C22#349012yes—
781C22#349212yes—
782C22#349512yes—
783C22#350112yes—
784C22#353412yes—
785C22#353512yes—
786C22#353612yes—
787C22#353812yes—
788C4—24no—
789C4—24no—
790C4—28no—
791C4—44no—
792C4—44no—
793C4—44no—
794C4—44no—
795C4—44no—
796C4—82no—
797C4—82no—
798C4—82no—
799C4—84no—
800C4—84no—
801C2—28no—
802C2—48no—
803C2C2×#253811yescharacteristic
804C2#3498511yescharacteristic
805C2#3522411yescharacteristic
806C2#3534811yescharacteristic
807C2#3563311yescharacteristic
808C2#3670911yescharacteristic
809C2#3671911yescharacteristic
810C2#3768512yes—
811C2#3776812yes—
812C2#3787312yes—
813C2#3795612yes—
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×#2627C2semidirect
3. C2×#2329C2semidirect
5. #15787C2semidirect
6. #15441C2semidirect
7. #15305C2semidirect
8. #15276C2semidirect
9. #14935C2semidirect
12. #14353C2semidirect
13. #14339C2semidirect
14. #14130C2semidirect
25. C2×#400C22semidirect
26. C2×#398C22semidirect
28. C2×#395C22semidirect
30. C2×#391C22semidirect
31. C2×#389C22semidirect
32. C2×#389C22semidirect
33. C2×#387C22semidirect
34. C2×#387C22semidirect
57. #1444C22semidirect
58. #1444C22semidirect
59. #1444C22semidirect
60. #1443C22semidirect
61. #1442C22semidirect
62. #1441C22semidirect
63. #1441C22semidirect
64. #1441C22semidirect
65. #1441C22semidirect
66. #1441C22semidirect
67. #1441C22semidirect
75. C4⋊#95C22semidirect
124. C22×C22⋊C4Q8semidirect
534. C22×C4C22⋊Q8semidirect

Maximal subgroups

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

subgroupindex
C2×#28482
C2×#26272
C2×#23292
C22×#3852
#157872
#154412
#153052
#152762
#149352
#147262
#146802
#143532
#143392
#141302
#139032