Finite Group Databasebeta

← #517280

Subgroups — #517280

Order 512.

4306 conjugacy classes of subgroups.

The subgroup lattice has 794 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#2848C211yesmaximal, characteristic
2C2×#2329C211yesmaximal, characteristic, complemented
3C22×C4×C22⋊C4C211yesmaximal, characteristic
4#14695C212yesmaximal, complemented
5#14680C211yesmaximal, characteristic
6#14281C211yesmaximal, characteristic, complemented
7#14275C211yesmaximal, characteristic, complemented
8#14262C212yesmaximal
9#14107C214yesmaximal, complemented
10#14099C214yesmaximal, complemented
11#14011C214yesmaximal, complemented
12#13987C214yesmaximal, complemented
13#13778C211yesmaximal, characteristic, complemented
14#13775C212yesmaximal
15C4×#385C212yesmaximal, complemented
16C25×C4C2211yescharacteristic
17C22×C22⋊Q8C2211yescharacteristic
18C22×C22⋊Q8C2212yes—
19C23×C22⋊C4C2211yescharacteristic
20C23×C22⋊C4C2211yescharacteristic
21C23×C42C2211yescharacteristic
22C23×C42C2211yescharacteristic
23#2848C4116yescomplemented
24#2329—28no—
25C2×#391C2212yescomplemented
26C2×#389C2212yescomplemented
27C2×#387C2212yescomplemented
28C2×#387C2212yescomplemented
29C2×#387C2214yescomplemented
30C2×#385C2212yes—
31C2×#385C2212yes—
32C2×#385C2212yes—
33C2×#385C2214yes—
34C2×#380C2211yescharacteristic
35C2×#380C2211yescharacteristic
36C2×#380C2212yes—
37C2×#380C2212yes—
38C2×#380C2211yescharacteristic
39C2×#380C2212yes—
40C2×#379C2212yes—
41C2×#379C2212yes—
42C2×C4×C4⋊C4C2214yescomplemented
43C2×C4×C22⋊C4—28no—
44C2×C4×C22⋊C4C2214yes—
45C2×C4×C22⋊C4C2212yes—
46C2×C4×C22⋊C4C2214yes—
47C2×C4×C22⋊C4C2212yes—
48C22×#95C2211yescharacteristic
49C22×#95C2211yescharacteristic
50#1446C2212yescomplemented
51#1445C2212yescomplemented
52#1444C2212yescomplemented
53#1442C2212yescomplemented
54#1441C2214yescomplemented
55#1441C2214yescomplemented
56#1439C2214yes—
57#1439C2214yes—
58#1439C2214yes—
59#1439C2214yes—
60#1437C2214yes—
61#1437C2214yes—
62#1437C2214yes—
63#1437C2214yes—
64#1436C2214yescomplemented
65#1436C2214yescomplemented
66#1436C2214yescomplemented
67#1436C2214yescomplemented
68#1436C2214yescomplemented
69#1436C2214yescomplemented
70#1434C2214yescomplemented
71C22⋊#95C2214yes—
72C22⋊#95C2212yes—
73C22⋊#95C2212yes—
74C22⋊#95C2212yes—
75C22⋊#95C2212yes—
76C22⋊#95C2212yes—
77C4×#95C2214yescomplemented
78C26C2311yescharacteristic
79C23×Q8C2311yescharacteristic
80C24×C4—24no—
81C24×C4—24no—
82C24×C4—44no—
83C24×C4—44no—
84C24×C4C2×C418yes—
85C24×C4C2311yescharacteristic
86C24×C4C2312yes—
87C24×C4C2312yes—
88C24×C4C2311yescharacteristic
89C24×C4C2311yescharacteristic
90C24×C4C2311yescharacteristic
91C24×C4C2311yescharacteristic
92C24×C4C2311yescharacteristic
93C2×C22⋊Q8—24no—
94C2×C22⋊Q8—24no—
95C2×C22⋊Q8—44no—
96C2×C22⋊Q8—44no—
97C2×C22⋊Q8C2×C418yes—
98C2×C22⋊Q8C2×C4116yescomplemented
99C22×C4⋊C4C2314yes—
100C22×C4⋊C4C2312yes—
101C22×C4⋊C4C2311yescharacteristic
102C22×C4⋊C4C2312yes—
103C22×C4⋊C4C2312yes—
104C22×C4⋊C4C2314yes—
105C22×C4⋊C4C2312yes—
106C22×C4⋊C4C2311yescharacteristic
107C22×C4⋊C4C2311yescharacteristic
108C22×C4⋊C4C2312yes—
109C22×C22⋊C4—24no—
110C22×C22⋊C4—24no—
111C22×C22⋊C4—24no—
112C22×C22⋊C4—24no—
113C22×C22⋊C4—24no—
114C22×C22⋊C4Q818yescomplemented
115C22×C22⋊C4C2314yes—
116C22×C22⋊C4C2312yes—
117C22×C22⋊C4C2312yes—
118C22×C22⋊C4C2312yes—
119C22×C22⋊C4C2312yes—
120C22×C22⋊C4C2314yes—
121C22×C22⋊C4C2314yes—
122C22×C22⋊C4C2314yes—
123C22×C22⋊C4C2314yes—
124C22×C22⋊C4C2314yes—
125C22×C42—24no—
126C22×C42—24no—
127C22×C42—44no—
128C22×C42—44no—
129C22×C42C2314yes—
130C22×C42C2314yes—
131C22×C42C2312yes—
132C22×C42C2314yes—
133C22×C42C2312yes—
134#391—28no—
135#389—28no—
136#387—28no—
137#387—28no—
138#387—48no—
139#385—28no—
140#385—28no—
141#385C2×C4116yes—
142#385C2×C4132yescomplemented
143#380—24no—
144#380—24no—
145#380—44no—
146#380—44no—
147#380C2×C418yes—
148#380C2×C4116yescomplemented
149#379—28no—
150#379C2×C4116yes—
151C4×C4⋊C4—48no—
152C4×C22⋊C4—28no—
153C4×C22⋊C4—28no—
154C4×C22⋊C4—216no—
155C4×C22⋊C4—216no—
156C2×#95—24no—
157C2×#95D418yes—
158C2×#95C2314yes—
159C2×#95C2314yes—
160C2×#95C2314yes—
161C2×#95C2312yes—
162C2×#95C2312yes—
163C2×#95C2312yes—
164C2×#95C2314yes—
165C2×#95C2312yes—
166C2×#95C2312yes—
167C2×#95C2312yes—
168C2×#95C2312yes—
169C2×#95C2312yes—
170C2×#95C2314yes—
171C2×#95C2314yes—
172C2×#95C2314yes—
173C2×#95C2314yes—
174C2×#95C2314yes—
175C2×#95C2314yes—
176C2×#95C2314yes—
177C2×#95C2314yes—
178C2×#95C2314yes—
179C2×#95C2312yes—
180C2×#95C2312yes—
181C2×#95C2312yes—
182C25—22no—
183C25—22no—
184C25—22no—
185C25—22no—
186C25—42no—
187C25—42no—
188C25—42no—
189C25—42no—
190C25C22×C414yes—
191C25C2×Q814yes—
192C25#4114yes—
193C25C2412yes—
194C25C2411yescharacteristic
195C22×Q8—22no—
196C22×Q8—22no—
197C22×Q8—42no—
198C22×Q8—42no—
199C22×Q8C22×C414yes—
200C23×C4—22no—
201C23×C4—22no—
202C23×C4—24no—
203C23×C4—24no—
204C23×C4—22no—
205C23×C4—22no—
206C23×C4—22no—
207C23×C4—22no—
208C23×C4—22no—
209C23×C4—22no—
210C23×C4—232no—
211C23×C4—24no—
212C23×C4—24no—
213C23×C4—24no—
214C23×C4—24no—
215C23×C4—24no—
216C23×C4—24no—
217C23×C4—24no—
218C23×C4—24no—
219C23×C4—432no—
220C23×C4—42no—
221C23×C4—42no—
222C23×C4—42no—
223C23×C4—42no—
224C23×C4—42no—
225C23×C4—42no—
226C23×C4—42no—
227C23×C4—42no—
228C23×C4—42no—
229C23×C4—42no—
230C23×C4—42no—
231C23×C4—42no—
232C23×C4—42no—
233C23×C4—42no—
234C23×C4—416no—
235C23×C4—416no—
236C23×C4—432no—
237C23×C4C22×C414yes—
238C23×C4C22×C418yes—
239C23×C4C22×C418yes—
240C23×C4C22×C414yes—
241C23×C4C2×D414yes—
242C23×C4C2×D414yes—
243C23×C4C2×D414yes—
244C23×C4C2×Q814yes—
245C23×C4C2×Q814yes—
246C23×C4#4114yes—
247C23×C4#4114yes—
248C23×C4#4114yes—
249C23×C4C2412yes—
250C23×C4C2412yes—
251C23×C4C2414yes—
252C23×C4C2412yes—
253C23×C4C2412yes—
254C23×C4C2414yes—
255C23×C4C2412yes—
256C23×C4C2412yes—
257C23×C4C2412yes—
258C23×C4C2411yescharacteristic
259C23×C4C2411yescharacteristic
260C23×C4C2412yes—
261C23×C4C2412yes—
262C22⋊Q8—232no—
263C22⋊Q8—432no—
264C2×C4⋊C4—22no—
265C2×C4⋊C4—24no—
266C2×C4⋊C4—22no—
267C2×C4⋊C4—24no—
268C2×C4⋊C4—28no—
269C2×C4⋊C4—28no—
270C2×C4⋊C4—28no—
271C2×C4⋊C4—22no—
272C2×C4⋊C4—22no—
273C2×C4⋊C4—24no—
274C2×C4⋊C4—24no—
275C2×C4⋊C4—24no—
276C2×C4⋊C4—44no—
277C2×C4⋊C4—42no—
278C2×C4⋊C4—42no—
279C2×C4⋊C4—44no—
280C2×C4⋊C4—44no—
281C2×C4⋊C4—42no—
282C2×C4⋊C4—42no—
283C2×C4⋊C4—42no—
284C2×C4⋊C4—42no—
285C2×C4⋊C4—44no—
286C2×C4⋊C4C22×C414yes—
287C2×C4⋊C4C22×C418yes—
288C2×C4⋊C4C22×C4116yes—
289C2×C4⋊C4C22×C418yes—
290C2×C22⋊C4—232no—
291C2×C22⋊C4—24no—
292C2×C22⋊C4—28no—
293C2×C22⋊C4—24no—
294C2×C22⋊C4—24no—
295C2×C22⋊C4—24no—
296C2×C22⋊C4—232no—
297C2×C22⋊C4—28no—
298C2×C22⋊C4—28no—
299C2×C22⋊C4—28no—
300C2×C22⋊C4—28no—
301C2×C22⋊C4—24no—
302C2×C22⋊C4—24no—
303C2×C22⋊C4—24no—
304C2×C22⋊C4—24no—
305C2×C22⋊C4—24no—
306C2×C22⋊C4—24no—
307C2×C22⋊C4—28no—
308C2×C22⋊C4—28no—
309C2×C22⋊C4—44no—
310C2×C22⋊C4—44no—
311C2×C22⋊C4—44no—
312C2×C22⋊C4—44no—
313C2×C22⋊C4—44no—
314C2×C22⋊C4—44no—
315C2×C22⋊C4—44no—
316C2×C22⋊C4—44no—
317C2×C22⋊C4C22×C418yes—
318C2×C22⋊C4C22×C418yes—
319C2×C22⋊C4C22×C4116yes—
320C2×C22⋊C4C22×C4116yes—
321C2×C22⋊C4C2×Q8116yes—
322C2×C42—28no—
323C2×C42—28no—
324C2×C42—28no—
325C2×C42—28no—
326C2×C42—28no—
327C2×C42—24no—
328C2×C42—24no—
329C2×C42—44no—
330C2×C42—44no—
331C2×C42—44no—
332C2×C42—44no—
333C2×C42—416no—
334C2×C42—416no—
335C2×C42—44no—
336C2×C42—44no—
337#95—24no—
338#95—24no—
339#95—24no—
340#95—24no—
341#95—24no—
342#95—24no—
343#95—24no—
344#95—28no—
345#95—24no—
346#95—28no—
347#95—28no—
348#95—28no—
349#95—44no—
350#95—44no—
351#95—44no—
352#95—44no—
353#95—44no—
354#95—44no—
355#95—44no—
356#95—44no—
357#95C22×C418yes—
358#95C22×C4116yes—
359#95C2×D418yes—
360#95C2×D418yes—
361C24—22no—
362C24—22no—
363C24—22no—
364C24—22no—
365C24—28no—
366C24—28no—
367C24—28no—
368C24—28no—
369C24—28no—
370C24—28no—
371C24—22no—
372C24—22no—
373C24—22no—
374C24—22no—
375C24—22no—
376C24—22no—
377C24—22no—
378C24—22no—
379C24—22no—
380C24—22no—
381C24—22no—
382C24—22no—
383C24—48no—
384C24—48no—
385C24—48no—
386C24—48no—
387C24—48no—
388C24—48no—
389C24—44no—
390C24—44no—
391C24—48no—
392C24—48no—
393C24—48no—
394C24—48no—
395C24—48no—
396C24—44no—
397C24—44no—
398C24—48no—
399C24C4×Q8116yes—
400C24C23×C414yes—
401C24C23×C412yes—
402C24C22×D412yes—
403C24C22×Q814yes—
404C24C22×Q812yes—
405C24C2×#4114yes—
406C24C2×#4112yes—
407C24C2×#4112yes—
408C24C2×#4112yes—
409C24C2×#4112yes—
410C24C2511yescharacteristic
411C2×Q8—28no—
412C2×Q8—48no—
413C2×Q8—82no—
414C2×Q8—82no—
415C2×Q8—84no—
416C22×C4—28no—
417C22×C4—28no—
418C22×C4—216no—
419C22×C4—28no—
420C22×C4—22no—
421C22×C4—22no—
422C22×C4—24no—
423C22×C4—22no—
424C22×C4—22no—
425C22×C4—22no—
426C22×C4—22no—
427C22×C4—22no—
428C22×C4—22no—
429C22×C4—24no—
430C22×C4—216no—
431C22×C4—28no—
432C22×C4—28no—
433C22×C4—28no—
434C22×C4—22no—
435C22×C4—22no—
436C22×C4—22no—
437C22×C4—22no—
438C22×C4—24no—
439C22×C4—24no—
440C22×C4—22no—
441C22×C4—22no—
442C22×C4—22no—
443C22×C4—22no—
444C22×C4—22no—
445C22×C4—22no—
446C22×C4—24no—
447C22×C4—24no—
448C22×C4—24no—
449C22×C4—24no—
450C22×C4—24no—
451C22×C4—24no—
452C22×C4—24no—
453C22×C4—24no—
454C22×C4—24no—
455C22×C4—24no—
456C22×C4—24no—
457C22×C4—24no—
458C22×C4—24no—
459C22×C4—24no—
460C22×C4—216no—
461C22×C4—216no—
462C22×C4—216no—
463C22×C4—216no—
464C22×C4—22no—
465C22×C4—22no—
466C22×C4—22no—
467C22×C4—24no—
468C22×C4—24no—
469C22×C4—22no—
470C22×C4—22no—
471C22×C4—24no—
472C22×C4—22no—
473C22×C4—24no—
474C22×C4—24no—
475C22×C4—24no—
476C22×C4—24no—
477C22×C4—24no—
478C22×C4—24no—
479C22×C4—24no—
480C22×C4—24no—
481C22×C4—44no—
482C22×C4—44no—
483C22×C4—48no—
484C22×C4—48no—
485C22×C4—48no—
486C22×C4—44no—
487C22×C4—44no—
488C22×C4—48no—
489C22×C4—44no—
490C22×C4—44no—
491C22×C4—48no—
492C22×C4—48no—
493C22×C4—48no—
494C22×C4—48no—
495C22×C4—48no—
496C22×C4—48no—
497C22×C4—48no—
498C22×C4—48no—
499C22×C4—48no—
500C22×C4—48no—
501C22×C4—48no—
502C22×C4—48no—
503C22×C4—4128no—
504C22×C4—44no—
505C22×C4—44no—
506C22×C4—48no—
507C22×C4—48no—
508C22×C4—44no—
509C22×C4—44no—
510C22×C4—48no—
511C22×C4—48no—
512C22×C4C4×D4116yes—
513C22×C4C22⋊Q8116yescomplemented
514C22×C4C23×C414yes—
515C22×C4C23×C418yes—
516C22×C4C23×C414yes—
517C22×C4C23×C412yes—
518C22×C4C23×C412yes—
519C22×C4C23×C414yes—
520C22×C4C22×D414yes—
521C22×C4C22×D412yes—
522C22×C4C22×D412yes—
523C22×C4C22×D414yes—
524C22×C4C22×Q814yes—
525C22×C4C22×Q814yes—
526C22×C4C2×#4114yes—
527C22×C4C2×#4112yes—
528C22×C4C2×#4112yes—
529C22×C4C2×#4114yes—
530C22×C4H(5,𝔽2)14yes—
531C22×C4H(5,𝔽2)14yes—
532C4⋊C4—28no—
533C4⋊C4—216no—
534C4⋊C4—232no—
535C4⋊C4—48no—
536C4⋊C4—416no—
537C4⋊C4—82no—
538C4⋊C4—82no—
539C4⋊C4—84no—
540C4⋊C4—84no—
541C4⋊C4—84no—
542C22⋊C4—232no—
543C22⋊C4—216no—
544C22⋊C4—216no—
545C22⋊C4—232no—
546C22⋊C4—416no—
547C22⋊C4—416no—
548C22⋊C4—48no—
549C22⋊C4—48no—
550C22⋊C4—88no—
551C22⋊C4—88no—
552C42—416no—
553C42—416no—
554C42—416no—
555C42—84no—
556C42—84no—
557C23—24no—
558C23—24no—
559C23—24no—
560C23—24no—
561C23—24no—
562C23—24no—
563C23—22no—
564C23—22no—
565C23—22no—
566C23—22no—
567C23—24no—
568C23—24no—
569C23—24no—
570C23—24no—
571C23—24no—
572C23—24no—
573C23—24no—
574C23—24no—
575C23—24no—
576C23—24no—
577C23—24no—
578C23—24no—
579C23—24no—
580C23—24no—
581C23—24no—
582C23—24no—
583C23—24no—
584C23—24no—
585C23—24no—
586C23—24no—
587C23—24no—
588C23—24no—
589C23—24no—
590C23—24no—
591C23—232no—
592C23—432no—
593C23—416no—
594C23—416no—
595C23—432no—
596C23—416no—
597C23—416no—
598C23—416no—
599C23—416no—
600C23—432no—
601C23—432no—
602C23—42no—
603C23—42no—
604C23—42no—
605C23—42no—
606C23—42no—
607C23—42no—
608C23—42no—
609C23—42no—
610C23—42no—
611C23—42no—
612C23—42no—
613C23—42no—
614C23—42no—
615C23—42no—
616C23—42no—
617C23—42no—
618C23C2×C4×D414yes—
619C23C2×C4×Q818yes—
620C23C2×C4×Q814yes—
621C23C4×#4114yes—
622C23C2×C22⋊Q814yes—
623C23#52514yes—
624C23#52914yes—
625C23#53314yes—
626C23C24×C411yescharacteristic
627C23C23×D411yescharacteristic
628C23C23×Q811yescharacteristic
629C23C22×#4111yescharacteristic
630C23C22×#4111yescharacteristic
631C23C22×#4111yescharacteristic
632C23C22×#4111yescharacteristic
633C23C2×H(5,𝔽2)12yes—
634C23C2×H(5,𝔽2)12yes—
635C23#58512yes—
636C23#58512yes—
637Q8—88no—
638C2×C4—232no—
639C2×C4—24no—
640C2×C4—24no—
641C2×C4—24no—
642C2×C4—24no—
643C2×C4—28no—
644C2×C4—24no—
645C2×C4—24no—
646C2×C4—24no—
647C2×C4—22no—
648C2×C4—22no—
649C2×C4—22no—
650C2×C4—22no—
651C2×C4—24no—
652C2×C4—24no—
653C2×C4—24no—
654C2×C4—24no—
655C2×C4—24no—
656C2×C4—28no—
657C2×C4—24no—
658C2×C4—24no—
659C2×C4—28no—
660C2×C4—28no—
661C2×C4—28no—
662C2×C4—28no—
663C2×C4—28no—
664C2×C4—24no—
665C2×C4—24no—
666C2×C4—24no—
667C2×C4—28no—
668C2×C4—24no—
669C2×C4—24no—
670C2×C4—28no—
671C2×C4—416no—
672C2×C4—416no—
673C2×C4—432no—
674C2×C4—432no—
675C2×C4—416no—
676C2×C4—416no—
677C2×C4—416no—
678C2×C4—44no—
679C2×C4—44no—
680C2×C4—44no—
681C2×C4—44no—
682C2×C4—44no—
683C2×C4—44no—
684C2×C4—42no—
685C2×C4—42no—
686C2×C4—42no—
687C2×C4—42no—
688C2×C4—42no—
689C2×C4—42no—
690C2×C4—42no—
691C2×C4—42no—
692C2×C4—44no—
693C2×C4—44no—
694C2×C4—44no—
695C2×C4—44no—
696C2×C4—42no—
697C2×C4—42no—
698C2×C4—44no—
699C2×C4—44no—
700C2×C4—44no—
701C2×C4—44no—
702C2×C4—44no—
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—44no—
713C2×C4C2×C4×D414yes—
714C2×C4C2×C4×D414yes—
715C2×C4#51818yes—
716C2×C4C2×C22⋊Q818yes—
717C22—24no—
718C22—28no—
719C22—24no—
720C22—24no—
721C22—24no—
722C22—28no—
723C22—24no—
724C22—24no—
725C22—28no—
726C22—28no—
727C22—28no—
728C22—28no—
729C22—28no—
730C22—464no—
731C22—44no—
732C22—44no—
733C22—44no—
734C22—44no—
735C22—44no—
736C22—44no—
737C22—44no—
738C22—44no—
739C22—44no—
740C22—44no—
741C22—44no—
742C22—44no—
743C22C4×C22⋊Q818yes—
744C22C22×C4×D411yescharacteristic
745C22C22×C4×Q811yescharacteristic
746C22C2×C4×#4111yescharacteristic
747C22C2×#51812yes—
748C22#342812yes—
749C22C22×C22⋊Q811yescharacteristic
750C22C2×#52511yescharacteristic
751C22C2×#52911yescharacteristic
752C22C2×#53311yescharacteristic
753C22#345912yes—
754C22#345912yes—
755C22#346012yes—
756C22#346012yes—
757C22#348411yescharacteristic
758C22#348411yescharacteristic
759C22#348511yescharacteristic
760C22#348711yescharacteristic
761C22#349012yes—
762C22#349312yes—
763C22#350112yes—
764C22#350112yes—
765C22#350512yes—
766C22#350512yes—
767C4—28no—
768C4—24no—
769C4—24no—
770C4—28no—
771C4—44no—
772C4—48no—
773C4—44no—
774C4—44no—
775C4—44no—
776C4—44no—
777C4—82no—
778C4—82no—
779C4—84no—
780C2—28no—
781C2—48no—
782C2C2×C4×C22⋊Q811yescharacteristic
783C2#3408212yes—
784C2#3419811yescharacteristic
785C2#3420111yescharacteristic
786C2#3421212yes—
787C2#3498511yescharacteristic
788C2#3498711yescharacteristic
789C2#3501212yes—
790C2#3503412yes—
791C2#3509111yescharacteristic
792C2#3517411yescharacteristic
subgroupG/H
center, Frattini, socle, cosocleC24C25
commutatorC23C24×C4
prime radicalC26C23
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C24 ◁ G
LECSG ▷ C24 ▷ C1

Complements

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

NH ≅ G/Ntype
2. C2×#2329C2semidirect
4. #14695C2semidirect
6. #14281C2semidirect
7. #14275C2semidirect
9. #14107C2semidirect
10. #14099C2semidirect
11. #14011C2semidirect
12. #13987C2semidirect
13. #13778C2semidirect
15. C4×#385C2semidirect
23. #2848C4semidirect
25. C2×#391C22semidirect
26. C2×#389C22semidirect
27. C2×#387C22semidirect
28. C2×#387C22semidirect
29. C2×#387C22semidirect
42. C2×C4×C4⋊C4C22semidirect
50. #1446C22semidirect
51. #1445C22semidirect
52. #1444C22semidirect
53. #1442C22semidirect
54. #1441C22semidirect
55. #1441C22semidirect
64. #1436C22semidirect
65. #1436C22semidirect
66. #1436C22semidirect
67. #1436C22semidirect
68. #1436C22semidirect
69. #1436C22semidirect
70. #1434C22semidirect
77. C4×#95C22semidirect
98. C2×C22⋊Q8C2×C4semidirect
114. C22×C22⋊C4Q8semidirect
142. #385C2×C4semidirect
148. #380C2×C4semidirect
513. 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×#23292
C22×C4×C22⋊C42
#146952
#146802
#142812
#142752
#142622
#141072
#140992
#140112
#139872
#137782
#137752
C4×#3852