Finite Group Databasebeta

← #205758

Subgroups — #205758

Order 512.

1392 conjugacy classes of subgroups.

The subgroup lattice has 787 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#465C211yesmaximal, characteristic
2#21825C211yesmaximal, characteristic, complemented
3#21793C211yesmaximal, characteristic
4#20658C211yesmaximal, characteristic, complemented
5#20385C211yesmaximal, characteristic, complemented
6#17578C211yesmaximal, characteristic, complemented
7#17577C211yesmaximal, characteristic
8#9786C214yesmaximal, complemented
9#9781C214yesmaximal, complemented
10C23×SD16C411yescharacteristic, complemented
11C24×C8C2211yescharacteristic
12C22×C22⋊Q8C2211yescharacteristic
13C22×#121C2211yescharacteristic
14C2×#465—21no—
15C2×#465—21no—
16C2×#465—21no—
17C2×#465—21no—
18C2×#465—21no—
19C2×#465—21no—
20C2×#465—21no—
21C2×#465—21no—
22C2×#465C412yescomplemented
23C2×#465C412yescomplemented
24C2×#465C2212yes—
25C2×#465C2212yes—
26C2×#427—21no—
27C22×#106C411yescharacteristic, complemented
28C22×#103C411yescharacteristic, complemented
29C22×#102C411yescharacteristic, complemented
30C2×#407C2211yescharacteristic
31C2×#405—21no—
32#2280C2211yescharacteristic
33#2280C2211yescharacteristic
34#2280C2211yescharacteristic
35#1996—22no—
36#1996C2214yescomplemented
37#1964—22no—
38#1964C2214yes—
39#1819—22no—
40#1808—21no—
41#1808C2212yescomplemented
42#1807—21no—
43#1807C2212yescomplemented
44#1781—22no—
45#1752—21no—
46#1752C2212yescomplemented
47C8×C22⋊C4—21no—
48C8×C22⋊C4C2212yescomplemented
49#1735—21no—
50#1729—21no—
51#1520C2214yescomplemented
52#1519C2214yes—
53#1511—22no—
54#1510—22no—
55#1508—22no—
56#1507—22no—
57C23×Q8C2×C411yescharacteristic
58C23×D4—21no—
59C23×D4C2×C411yescharacteristic
60C24×C4C2311yescharacteristic
61C22×SD16—21no—
62C22×SD16—21no—
63C22×SD16—21no—
64C22×SD16—21no—
65C22×SD16—44no—
66C22×SD16C2×C412yes—
67C22×SD16C2×C412yes—
68C22×M16—21no—
69C23×C8—44no—
70C23×C8C2×C411yescharacteristic
71C23×C8C2×C411yescharacteristic
72C23×C8C2×C411yescharacteristic
73C23×C8C2×C411yescharacteristic
74C23×C8D411yescharacteristic
75C23×C8D411yescharacteristic
76C23×C8D411yescharacteristic
77C23×C8D411yescharacteristic
78C23×C8D411yescharacteristic
79C23×C8D411yescharacteristic
80C23×C8D411yescharacteristic
81C23×C8D411yescharacteristic
82C23×C8C2311yescharacteristic
83C23×C8C2311yescharacteristic
84C2×C22⋊Q8—21no—
85C2×C22⋊Q8—21no—
86C2×C22⋊Q8—21no—
87C2×C22⋊Q8—21no—
88C2×C22⋊Q8—21no—
89C2×C22⋊Q8—21no—
90C2×C22⋊Q8—21no—
91C2×C22⋊Q8—21no—
92C2×C22⋊Q8—21no—
93C2×C22⋊Q8—21no—
94C2×C22⋊Q8C2×C412yes—
95C2×C22⋊Q8C2312yes—
96C2×#121—21no—
97C2×#121—21no—
98C2×#121—21no—
99C2×#121—21no—
100C2×#121—21no—
101C2×#121—21no—
102C2×#121—21no—
103C2×#121—21no—
104C2×#121—21no—
105C2×#121—21no—
106C2×#121C2×C412yes—
107C2×#121C2312yes—
108C2×#117—21no—
109C2×#117—21no—
110C2×#117—21no—
111C22×C4⋊C4—21no—
112C22×C4⋊C4C2×C411yescharacteristic
113C22×C4⋊C4C2×C411yescharacteristic
114C22×C22⋊C4—21no—
115C22×C22⋊C4—21no—
116#465—22no—
117#465—22no—
118#465—22no—
119#465—22no—
120#465—22no—
121#465—22no—
122#465—22no—
123#465—22no—
124#465—22no—
125#465—22no—
126#465—22no—
127#465—22no—
128#465—22no—
129#465—22no—
130#465—22no—
131#465—22no—
132#427—44no—
133C2×#107—22no—
134C2×#106—21no—
135C2×#106—21no—
136C2×#106—21no—
137C2×#106—21no—
138C2×#106—22no—
139C2×#106C2×C412yes—
140C2×#106C2×C412yes—
141C2×#103—21no—
142C2×#103—21no—
143C2×#103—21no—
144C2×#103—21no—
145C2×#103C2×C412yes—
146C2×#103C2×C412yes—
147C2×#102—21no—
148C2×#102—21no—
149C2×#102—21no—
150C2×#102—21no—
151C2×#102C2×C412yes—
152C2×#102C2×C412yes—
153C2×#99—28no—
154#407—21no—
155#407—21no—
156#407D412yes—
157#407D412yes—
158C2×C22⋊C8—21no—
159C2×C22⋊C8C2312yes—
160#405—44no—
161C2×#97—22no—
162C2×C4×C8—22no—
163#381—21no—
164#381—21no—
165#381—21no—
166#380—21no—
167#380—21no—
168#380—21no—
169#380D412yes—
170#380C2312yes—
171#380C2312yes—
172#379—21no—
173#379—21no—
174#379D412yes—
175C4×C22⋊C4—21no—
176C4×C22⋊C4—21no—
177C4×C22⋊C4—21no—
178C4×C22⋊C4—21no—
179C4×C22⋊C4—21no—
180C4×C22⋊C4C2312yes—
181#342—28no—
182#340—22no—
183#340—22no—
184#336—22no—
185#336—22no—
186#328—28no—
187#327—28no—
188C25—21no—
189C25C2×D411yescharacteristic
190C22×Q8—21no—
191C22×Q8—21no—
192C22×Q8—21no—
193C22×Q8—21no—
194C22×Q8—21no—
195C22×Q8—42no—
196C22×Q8—42no—
197C22×Q8C22×C412yes—
198C22×D4—22no—
199C22×D4—22no—
200C22×D4—21no—
201C22×D4—21no—
202C22×D4—21no—
203C22×D4—21no—
204C22×D4—21no—
205C22×D4—42no—
206C22×D4—42no—
207C22×D4—41no—
208C22×D4—41no—
209C22×D4—41no—
210C22×D4—41no—
211C22×D4—84no—
212C22×D4C22×C412yes—
213C23×C4—21no—
214C23×C4—21no—
215C23×C4—21no—
216C23×C4—42no—
217C23×C4—42no—
218C23×C4C22×C411yescharacteristic
219C23×C4C22×C411yescharacteristic
220C23×C4C2×D411yescharacteristic
221C23×C4C2×D411yescharacteristic
222C23×C4C2×D411yescharacteristic
223C23×C4C2×D411yescharacteristic
224C23×C4C2×D411yescharacteristic
225C23×C4C2×D411yescharacteristic
226C23×C4C2×D411yescharacteristic
227C23×C4#4111yescharacteristic
228C23×C4#4111yescharacteristic
229C23×C4#4111yescharacteristic
230C23×C4#4111yescharacteristic
231C23×C4C2411yescharacteristic
232C2×SD16—22no—
233C2×SD16—22no—
234C2×SD16—22no—
235C2×SD16—22no—
236C2×SD16—44no—
237C2×SD16—44no—
238C2×SD16—44no—
239C2×SD16—44no—
240C2×SD16—44no—
241C2×SD16—44no—
242C2×M16—22no—
243C2×M16—22no—
244C2×M16—42no—
245C2×M16—42no—
246C22×C8—24no—
247C22×C8—24no—
248C22×C8—24no—
249C22×C8—22no—
250C22×C8—42no—
251C22×C8—42no—
252C22×C8—42no—
253C22×C8—42no—
254C22×C8—42no—
255C22×C8—42no—
256C22×C8—42no—
257C22×C8—42no—
258C22×C8—42no—
259C22×C8—42no—
260C22×C8—42no—
261C22×C8C22⋊C411yescharacteristic
262C22×C8C22⋊C411yescharacteristic
263C22×C8C22⋊C411yescharacteristic
264C22×C8C22⋊C411yescharacteristic
265C22×C8C22⋊C411yescharacteristic
266C22×C8C22⋊C411yescharacteristic
267C22×C8C22⋊C411yescharacteristic
268C22×C8C22⋊C411yescharacteristic
269C22×C8C22⋊C411yescharacteristic
270C22×C8C22⋊C411yescharacteristic
271C22×C8C22⋊C411yescharacteristic
272C22×C8C22⋊C411yescharacteristic
273C22×C8C22⋊C411yescharacteristic
274C22×C8C22⋊C411yescharacteristic
275C22×C8C22⋊C411yescharacteristic
276C22×C8C22⋊C411yescharacteristic
277C22×C8C22×C411yescharacteristic
278C22×C8C22×C411yescharacteristic
279C22×C8C22×C411yescharacteristic
280C22×C8C22×C411yescharacteristic
281C22×C8C2×D411yescharacteristic
282C22×C8C2×D411yescharacteristic
283C22×C8C2×D411yescharacteristic
284C22×C8C2×D411yescharacteristic
285C22×C8C2×D411yescharacteristic
286C22×C8C2×D411yescharacteristic
287C22×C8C2×D411yescharacteristic
288C22×C8C2×D411yescharacteristic
289C22⋊Q8—22no—
290C22⋊Q8—22no—
291C22⋊Q8—22no—
292C22⋊Q8—22no—
293C22⋊Q8—22no—
294C22⋊Q8—22no—
295C22⋊Q8—22no—
296C22⋊Q8—22no—
297C22⋊Q8—41no—
298C22⋊Q8—41no—
299C22⋊Q8—41no—
300C22⋊Q8—41no—
301C22⋊Q8—41no—
302C22⋊Q8—41no—
303C22⋊Q8—41no—
304C22⋊Q8—41no—
305#121—22no—
306#121—22no—
307#121—22no—
308#121—22no—
309#121—22no—
310#121—22no—
311#121—22no—
312#121—22no—
313#121—41no—
314#121—41no—
315#121—41no—
316#121—41no—
317#121—41no—
318#121—41no—
319#121—41no—
320#121—41no—
321#117—42no—
322#117—42no—
323#117—42no—
324#117—42no—
325#117—42no—
326#117—42no—
327C2×C4⋊C4—21no—
328C2×C4⋊C4—21no—
329C2×C4⋊C4—21no—
330C2×C4⋊C4—21no—
331C2×C4⋊C4—21no—
332C2×C4⋊C4—21no—
333C2×C4⋊C4—21no—
334C2×C4⋊C4—21no—
335C2×C4⋊C4—22no—
336C2×C4⋊C4—21no—
337C2×C4⋊C4—21no—
338C2×C4⋊C4—22no—
339C2×C4⋊C4—22no—
340C2×C4⋊C4—22no—
341C2×C4⋊C4—22no—
342C2×C4⋊C4—41no—
343C2×C4⋊C4—41no—
344C2×C4⋊C4—41no—
345C2×C4⋊C4—41no—
346C2×C4⋊C4C22×C412yes—
347C2×C4⋊C4C22×C412yes—
348C2×C22⋊C4—22no—
349C2×C22⋊C4—22no—
350C2×C22⋊C4—22no—
351C2×C22⋊C4—22no—
352C2×C22⋊C4—22no—
353C2×C22⋊C4—22no—
354C2×C22⋊C4—22no—
355C2×C22⋊C4—22no—
356C2×C22⋊C4—41no—
357C2×C22⋊C4—41no—
358C2×C22⋊C4—41no—
359C2×C22⋊C4—41no—
360C2×C22⋊C4—41no—
361C2×C22⋊C4—41no—
362C2×C22⋊C4—41no—
363C2×C22⋊C4—41no—
364C2×C22⋊C4—41no—
365C2×C22⋊C4—41no—
366C2×C22⋊C4—41no—
367C2×C22⋊C4—41no—
368C2×C22⋊C4C2×D414yes—
369C2×C42—22no—
370C2×C42—41no—
371C2×C42—41no—
372#107—44no—
373#106—22no—
374#106—22no—
375#106—22no—
376#106—22no—
377#106—44no—
378#103—22no—
379#103—22no—
380#103—22no—
381#103—22no—
382#102—22no—
383#102—22no—
384#102—22no—
385#102—22no—
386#99—88no—
387C22⋊C8—22no—
388C22⋊C8—22no—
389C22⋊C8—22no—
390C22⋊C8C2×D414yes—
391#97—44no—
392C4×C8—44no—
393#95—22no—
394#95—22no—
395#95—22no—
396#95—22no—
397#95—41no—
398#95—41no—
399C24—24no—
400C24—22no—
401C24—42no—
402C24—42no—
403C24—41no—
404C24—41no—
405C24—82no—
406C24—82no—
407C24—82no—
408C24C4×D411yescharacteristic
409C24C4×D411yescharacteristic
410C24#12111yescharacteristic
411C24#12111yescharacteristic
412C24#12711yescharacteristic
413C24#12711yescharacteristic
414C24C22×D411yescharacteristic
415C2×Q8—22no—
416C2×Q8—22no—
417C2×Q8—42no—
418C2×Q8—42no—
419C2×Q8—42no—
420C2×Q8—42no—
421C2×Q8—41no—
422C2×Q8—41no—
423C2×Q8—42no—
424C2×Q8—42no—
425C2×Q8—82no—
426C2×Q8—82no—
427C2×Q8—82no—
428C2×D4—22no—
429C2×D4—22no—
430C2×D4—42no—
431C2×D4—42no—
432C2×D4—42no—
433C2×D4—42no—
434C2×D4—42no—
435C2×D4—42no—
436C2×D4—48no—
437C2×D4—42no—
438C2×D4—42no—
439C2×D4—41no—
440C2×D4—41no—
441C2×D4—42no—
442C2×D4—42no—
443C2×D4—82no—
444C2×D4—82no—
445C2×D4—82no—
446C2×D4—84no—
447C2×D4—84no—
448C2×D4—84no—
449C2×D4—84no—
450C2×D4—84no—
451C22×C4—22no—
452C22×C4—22no—
453C22×C4—22no—
454C22×C4—22no—
455C22×C4—22no—
456C22×C4—22no—
457C22×C4—22no—
458C22×C4—24no—
459C22×C4—22no—
460C22×C4—22no—
461C22×C4—41no—
462C22×C4—41no—
463C22×C4—41no—
464C22×C4—41no—
465C22×C4—41no—
466C22×C4—41no—
467C22×C4—41no—
468C22×C4—42no—
469C22×C4—42no—
470C22×C4—42no—
471C22×C4—42no—
472C22×C4—41no—
473C22×C4—42no—
474C22×C4—42no—
475C22×C4—42no—
476C22×C4—41no—
477C22×C4—41no—
478C22×C4—41no—
479C22×C4—41no—
480C22×C4—41no—
481C22×C4—41no—
482C22×C4—42no—
483C22×C4—42no—
484C22×C4—82no—
485C22×C4—82no—
486C22×C4—82no—
487C22×C4C2×C22⋊C411yescharacteristic
488C22×C4C2×C22⋊C411yescharacteristic
489C22×C4C2×C22⋊C411yescharacteristic
490C22×C4C2×C22⋊C411yescharacteristic
491C22×C4C4×D411yescharacteristic
492C22×C4C4×D411yescharacteristic
493C22×C4C4×D411yescharacteristic
494C22×C4C4×D411yescharacteristic
495C22×C4C4×D411yescharacteristic
496C22×C4C4×D411yescharacteristic
497C22×C4#12111yescharacteristic
498C22×C4#12111yescharacteristic
499C22×C4#12111yescharacteristic
500C22×C4#12111yescharacteristic
501C22×C4#12111yescharacteristic
502C22×C4#12111yescharacteristic
503C22×C4#12411yescharacteristic
504C22×C4#12411yescharacteristic
505C22×C4#12411yescharacteristic
506C22×C4#12411yescharacteristic
507C22×C4#12711yescharacteristic
508C22×C4#12711yescharacteristic
509C22×C4C23×C411yescharacteristic
510C22×C4C22×D411yescharacteristic
511C22×C4C22×D411yescharacteristic
512C22×C4C22×D411yescharacteristic
513C22×C4C2×#4111yescharacteristic
514C22×C4C2×#4111yescharacteristic
515SD16—44no—
516SD16—44no—
517SD16—44no—
518SD16—44no—
519M16—44no—
520M16—44no—
521C2×C8—22no—
522C2×C8—22no—
523C2×C8—22no—
524C2×C8—22no—
525C2×C8—22no—
526C2×C8—22no—
527C2×C8—22no—
528C2×C8—22no—
529C2×C8—22no—
530C2×C8—22no—
531C2×C8—22no—
532C2×C8—22no—
533C2×C8—22no—
534C2×C8—22no—
535C2×C8—22no—
536C2×C8—24no—
537C2×C8—41no—
538C2×C8—41no—
539C2×C8—41no—
540C2×C8—41no—
541C2×C8—41no—
542C2×C8—41no—
543C2×C8—41no—
544C2×C8—41no—
545C2×C8—41no—
546C2×C8—41no—
547C2×C8—41no—
548C2×C8—41no—
549C2×C8—42no—
550C2×C8—42no—
551C2×C8#9914yescomplemented
552C2×C8C2×C22⋊C411yescharacteristic
553C2×C8C2×C22⋊C411yescharacteristic
554C2×C8C2×C22⋊C411yescharacteristic
555C2×C8C2×C22⋊C411yescharacteristic
556C2×C8C2×C22⋊C411yescharacteristic
557C2×C8C2×C22⋊C411yescharacteristic
558C2×C8C2×C22⋊C411yescharacteristic
559C2×C8C2×C22⋊C411yescharacteristic
560C4⋊C4—22no—
561C4⋊C4—22no—
562C4⋊C4—22no—
563C4⋊C4—22no—
564C4⋊C4—44no—
565C4⋊C4—42no—
566C4⋊C4—42no—
567C4⋊C4—42no—
568C4⋊C4—42no—
569C4⋊C4—42no—
570C4⋊C4—42no—
571C4⋊C4—41no—
572C4⋊C4—41no—
573C4⋊C4—41no—
574C4⋊C4—41no—
575C4⋊C4—42no—
576C4⋊C4—42no—
577C22⋊C4—28no—
578C22⋊C4—44no—
579C22⋊C4—44no—
580C22⋊C4—42no—
581C22⋊C4—42no—
582C22⋊C4—42no—
583C22⋊C4—42no—
584C22⋊C4—42no—
585C22⋊C4—42no—
586C22⋊C4—42no—
587C22⋊C4—42no—
588C22⋊C4—44no—
589C22⋊C4—44no—
590C22⋊C4—82no—
591C22⋊C4—82no—
592C22⋊C4—82no—
593C22⋊C4—82no—
594C42—42no—
595C42—42no—
596C42—82no—
597C42—82no—
598C23—22no—
599C23—22no—
600C23—22no—
601C23—22no—
602C23—22no—
603C23—22no—
604C23—22no—
605C23—22no—
606C23—22no—
607C23—22no—
608C23—22no—
609C23—22no—
610C23—41no—
611C23—41no—
612C23—41no—
613C23—41no—
614C23—41no—
615C23—41no—
616C23—41no—
617C23—41no—
618C23—416no—
619C23—42no—
620C23—44no—
621C23—82no—
622C23—82no—
623C23—82no—
624C23—82no—
625C23—82no—
626C23—82no—
627C23—82no—
628C23—82no—
629C23—168no—
630C23#39011yescharacteristic
631C23#39011yescharacteristic
632C23#39011yescharacteristic
633C23#39011yescharacteristic
634C23C2×C4×D411yescharacteristic
635C23C2×#12111yescharacteristic
636C23C2×#12711yescharacteristic
637C23#57714yes—
638Q8—42no—
639Q8—42no—
640Q8—82no—
641Q8—82no—
642Q8—82no—
643D4—42no—
644D4—42no—
645D4—82no—
646D4—82no—
647D4—84no—
648D4—84no—
649D4—84no—
650D4—84no—
651D4—82no—
652C2×C4—22no—
653C2×C4—22no—
654C2×C4—22no—
655C2×C4—21no—
656C2×C4—21no—
657C2×C4—21no—
658C2×C4—21no—
659C2×C4—21no—
660C2×C4—21no—
661C2×C4—21no—
662C2×C4—21no—
663C2×C4—21no—
664C2×C4—21no—
665C2×C4—21no—
666C2×C4—21no—
667C2×C4—22no—
668C2×C4—22no—
669C2×C4—22no—
670C2×C4—22no—
671C2×C4—22no—
672C2×C4—22no—
673C2×C4—41no—
674C2×C4—41no—
675C2×C4—41no—
676C2×C4—41no—
677C2×C4—41no—
678C2×C4—41no—
679C2×C4—41no—
680C2×C4—41no—
681C2×C4—41no—
682C2×C4—41no—
683C2×C4—41no—
684C2×C4—41no—
685C2×C4—44no—
686C2×C4—44no—
687C2×C4—44no—
688C2×C4—44no—
689C2×C4—42no—
690C2×C4—42no—
691C2×C4—42no—
692C2×C4—82no—
693C2×C4—82no—
694C2×C4—82no—
695C2×C4—82no—
696C2×C4—82no—
697C2×C4—82no—
698C2×C4—82no—
699C2×C4—82no—
700C2×C4—82no—
701C2×C4—82no—
702C2×C4—82no—
703C2×C4—82no—
704C2×C4—82no—
705C2×C4—82no—
706C2×C4#39011yescharacteristic
707C2×C4#39011yescharacteristic
708C2×C4#39011yescharacteristic
709C2×C4#39011yescharacteristic
710C2×C4C2×#9912yes—
711C2×C4#41012yes—
712C2×C4C22×C22⋊C411yescharacteristic
713C2×C4C2×C4×D411yescharacteristic
714C2×C4C2×#12111yescharacteristic
715C2×C4C2×#12411yescharacteristic
716C8—21no—
717C8—21no—
718C8—21no—
719C8—21no—
720C8—21no—
721C8—21no—
722C8—44no—
723C8C2×#9912yes—
724C8C2×#9912yes—
725C22—28no—
726C22—21no—
727C22—21no—
728C22—21no—
729C22—21no—
730C22—21no—
731C22—21no—
732C22—21no—
733C22—21no—
734C22—21no—
735C22—21no—
736C22—21no—
737C22—21no—
738C22—21no—
739C22—21no—
740C22—21no—
741C22—21no—
742C22—44no—
743C22—44no—
744C22—44no—
745C22—44no—
746C22—44no—
747C22—44no—
748C22—82no—
749C22—82no—
750C22—82no—
751C22—164no—
752C22—164no—
753C22—164no—
754C22#196412yes—
755C22#197612yes—
756C22C2×#39011yescharacteristic
757C22#294912yes—
758C22#305712yes—
759C22#315412yes—
760C4—21no—
761C4—21no—
762C4—21no—
763C4—21no—
764C4—21no—
765C4—21no—
766C4—84no—
767C4—82no—
768C4—82no—
769C4—82no—
770C4—162no—
771C4—162no—
772C4#196412yes—
773C4C22×#9911yescharacteristic
774C4C2×#41011yescharacteristic
775C2—22no—
776C2—22no—
777C2—22no—
778C2—22no—
779C2—22no—
780C2—41no—
781C2—41no—
782C2—162no—
783C2C2×#196411yescharacteristic
784C2#2123111yescharacteristic
785C2C2×#197611yescharacteristic
subgroupG/H
center, socleC22C2×#390
commutatorC22×C4C23×C4
Frattini, cosocleC23×C4C24
prime radicalC22×#121C22
LCSG ▷ C22×C4 ▷ C22 ▷ C1
UCSC1 ◁ C22 ◁ C24×C4 ◁ G
LECSG ▷ C23×C4 ▷ C22 ▷ C1

Complements

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

NH ≅ G/Ntype
2. #21825C2semidirect
4. #20658C2semidirect
5. #20385C2semidirect
6. #17578C2semidirect
8. #9786C2semidirect
9. #9781C2semidirect
10. C23×SD16C4semidirect
22. C2×#465C4semidirect
23. C2×#465C4semidirect
27. C22×#106C4semidirect
28. C22×#103C4semidirect
29. C22×#102C4semidirect
36. #1996C22semidirect
41. #1808C22semidirect
43. #1807C22semidirect
46. #1752C22semidirect
48. C8×C22⋊C4C22semidirect
51. #1520C22semidirect
551. C2×C8#99semidirect

Maximal subgroups

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

subgroupindex
C22×#4652
#218252
#217932
#206582
#203852
#175782
#175772
#97862
#97812