Finite Group Databasebeta

← #360505

Subgroups — #360505

Order 512.

3058 conjugacy classes of subgroups.

The subgroup lattice has 824 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C23×C22⋊C8C211yesmaximal, characteristic
2C2×#2280C211yesmaximal, characteristic
3C2×#1854C212yesmaximal, complemented
4C2×#1808C211yesmaximal, characteristic, complemented
5C2×#1807C211yesmaximal, characteristic, complemented
6#14680C211yesmaximal, characteristic
7#11096C212yesmaximal, complemented
8#11095C212yesmaximal, complemented
9#10731C212yesmaximal, complemented
10#10721C211yesmaximal, characteristic, complemented
11#10721C211yesmaximal, characteristic, complemented
12C25×C4C2211yescharacteristic
13C24×C8C2211yescharacteristic
14C24×C8C2211yescharacteristic
15C22×#117C2212yes—
16C22×#107C2212yescomplemented
17C22×#106C2212yescomplemented
18C22×C22⋊C8—28no—
19C22×C22⋊C8C418yescomplemented
20C22×C22⋊C8C2211yescharacteristic
21C22×C22⋊C8C2211yescharacteristic
22C22×C22⋊C8C2211yescharacteristic
23C22×C22⋊C8C2211yescharacteristic
24#2280—24no—
25#2280—24no—
26C2×#381—21no—
27C2×#380C2212yes—
28C2×#380C2212yes—
29C2×#380C2211yescharacteristic
30C2×#380C2211yescharacteristic
31C2×#380C2211yescharacteristic
32C2×#380C2211yescharacteristic
33C2×#380C2212yes—
34C2×#379—21no—
35C2×#379—21no—
36C2×C4×C22⋊C4—21no—
37C2×C4×C22⋊C4—21no—
38#1854—28no—
39#1808—24no—
40#1807—24no—
41C2×#340C2212yescomplemented
42C2×#340C2212yescomplemented
43C2×#340C2212yescomplemented
44C2×#340C2212yescomplemented
45C2×#340C2212yescomplemented
46C2×#340C2212yescomplemented
47C22⋊#95—21no—
48C22⋊#95—21no—
49C22⋊#95—21no—
50C26D411yescharacteristic
51C24×C4—24no—
52C24×C4—22no—
53C24×C4—22no—
54C24×C4—24no—
55C24×C4—22no—
56C24×C4—22no—
57C24×C4—42no—
58C24×C4—42no—
59C24×C4C2×C414yes—
60C24×C4D411yescharacteristic
61C24×C4D411yescharacteristic
62C24×C4D411yescharacteristic
63C24×C4Q814yes—
64C24×C4C2311yescharacteristic
65C24×C4C2311yescharacteristic
66C24×C4C2311yescharacteristic
67C23×C8—22no—
68C23×C8—22no—
69C23×C8—22no—
70C23×C8—22no—
71C23×C8—24no—
72C23×C8—24no—
73C23×C8—42no—
74C23×C8—42no—
75C23×C8C2×C414yes—
76C23×C8C2×C414yes—
77C23×C8C2311yescharacteristic
78C23×C8C2311yescharacteristic
79C23×C8C2311yescharacteristic
80C23×C8C2311yescharacteristic
81C2×#117—24no—
82C2×#117—24no—
83C2×#117—24no—
84C2×#117—24no—
85C2×#117—42no—
86C2×#117—42no—
87C22×C4⋊C4C2312yes—
88C22×C4⋊C4C2312yes—
89C22×C4⋊C4C2312yes—
90C22×C4⋊C4C2312yes—
91C22×C22⋊C4—22no—
92C22×C22⋊C4—22no—
93C22×C22⋊C4—21no—
94C22×C22⋊C4—21no—
95C22×C22⋊C4—22no—
96C22×C22⋊C4—22no—
97C22×C22⋊C4—21no—
98C22×C22⋊C4—21no—
99C22×C42—22no—
100C2×#107—24no—
101C2×#107—24no—
102C2×#107—42no—
103C2×#106—24no—
104C2×#106—24no—
105C2×#106—42no—
106C2×C22⋊C8—24no—
107C2×C22⋊C8—24no—
108C2×C22⋊C8—24no—
109C2×C22⋊C8—232no—
110C2×C22⋊C8C2×C414yes—
111C2×C22⋊C8C2×C414yes—
112C2×C22⋊C8C2×C414yes—
113C2×C22⋊C8C2×C414yes—
114C2×C22⋊C8D418yes—
115#381—28no—
116#380—22no—
117#380—22no—
118#380—24no—
119#380—24no—
120#380—22no—
121#380—22no—
122#380—24no—
123#380—24no—
124#380—22no—
125#380—22no—
126#380—42no—
127#380—42no—
128#380D414yes—
129#380D414yes—
130#379—28no—
131#379—44no—
132C4×C22⋊C4—28no—
133C4×C22⋊C4—28no—
134C2×#95—22no—
135C2×#95—21no—
136C2×#95—21no—
137C2×#95—22no—
138C2×#95—21no—
139C2×#95—22no—
140C2×#95—21no—
141#340—24no—
142#340—24no—
143#340—24no—
144#340—24no—
145#340—42no—
146#340—42no—
147C25—24no—
148C25—24no—
149C25—22no—
150C25—22no—
151C25—22no—
152C25—22no—
153C25—22no—
154C25—22no—
155C25—42no—
156C25—42no—
157C25C4⋊C414yes—
158C25C2×D411yescharacteristic
159C25C2×D411yescharacteristic
160C25C2×D411yescharacteristic
161C23×C4—21no—
162C23×C4—21no—
163C23×C4—22no—
164C23×C4—22no—
165C23×C4—21no—
166C23×C4—21no—
167C23×C4—22no—
168C23×C4—22no—
169C23×C4—22no—
170C23×C4—22no—
171C23×C4—22no—
172C23×C4—24no—
173C23×C4—22no—
174C23×C4—28no—
175C23×C4—28no—
176C23×C4—28no—
177C23×C4—28no—
178C23×C4—22no—
179C23×C4—22no—
180C23×C4—24no—
181C23×C4—24no—
182C23×C4—216no—
183C23×C4—28no—
184C23×C4—28no—
185C23×C4—22no—
186C23×C4—22no—
187C23×C4—21no—
188C23×C4—21no—
189C23×C4—22no—
190C23×C4—22no—
191C23×C4—21no—
192C23×C4—21no—
193C23×C4—22no—
194C23×C4—22no—
195C23×C4—22no—
196C23×C4—22no—
197C23×C4—22no—
198C23×C4—22no—
199C23×C4—44no—
200C23×C4—44no—
201C23×C4—48no—
202C23×C4—42no—
203C23×C4—42no—
204C23×C4—42no—
205C23×C4—48no—
206C23×C4—48no—
207C23×C4—48no—
208C23×C4—48no—
209C23×C4—48no—
210C23×C4—48no—
211C23×C4—48no—
212C23×C4—48no—
213C23×C4C4⋊C414yes—
214C23×C4C4⋊C414yes—
215C23×C4C4⋊C414yes—
216C23×C4C22×C412yes—
217C23×C4C22×C412yes—
218C23×C4C22×C412yes—
219C23×C4C2×D411yescharacteristic
220C23×C4C2×D414yes—
221C23×C4C2×D411yescharacteristic
222C23×C4C2×D411yescharacteristic
223C23×C4C2×D412yes—
224C23×C4C2×D412yes—
225C23×C4C2×Q812yes—
226C23×C4C2×Q812yes—
227C23×C4C2×Q812yes—
228C23×C4#4114yes—
229C23×C4#4112yes—
230C23×C4#4112yes—
231C23×C4C2411yescharacteristic
232C22×C8—21no—
233C22×C8—21no—
234C22×C8—21no—
235C22×C8—21no—
236C22×C8—22no—
237C22×C8—22no—
238C22×C8—28no—
239C22×C8—28no—
240C22×C8—21no—
241C22×C8—21no—
242C22×C8—22no—
243C22×C8—22no—
244C22×C8—21no—
245C22×C8—21no—
246C22×C8—22no—
247C22×C8—22no—
248C22×C8—28no—
249C22×C8—28no—
250C22×C8—44no—
251C22×C8—44no—
252C22×C8—48no—
253C22×C8—48no—
254C22×C8—48no—
255C22×C8—48no—
256C22×C8C22×C412yes—
257C22×C8C22×C412yes—
258C22×C8C22×C412yes—
259C22×C8C22×C412yes—
260C22×C8C2×D414yes—
261C22×C8C2×D414yes—
262#117—48no—
263#117—48no—
264#117—48no—
265#117—48no—
266C2×C4⋊C4—22no—
267C2×C4⋊C4—22no—
268C2×C4⋊C4—22no—
269C2×C4⋊C4—22no—
270C2×C4⋊C4—22no—
271C2×C4⋊C4—22no—
272C2×C4⋊C4—22no—
273C2×C4⋊C4—22no—
274C2×C4⋊C4—22no—
275C2×C4⋊C4—22no—
276C2×C4⋊C4—22no—
277C2×C4⋊C4—22no—
278C2×C4⋊C4—22no—
279C2×C4⋊C4—22no—
280C2×C4⋊C4—22no—
281C2×C4⋊C4—22no—
282C2×C4⋊C4—22no—
283C2×C4⋊C4—22no—
284C2×C4⋊C4—22no—
285C2×C4⋊C4—22no—
286C2×C4⋊C4—22no—
287C2×C4⋊C4—22no—
288C2×C4⋊C4C2×D414yes—
289C2×C4⋊C4C2×D414yes—
290C2×C22⋊C4—28no—
291C2×C22⋊C4—28no—
292C2×C22⋊C4—24no—
293C2×C22⋊C4—24no—
294C2×C22⋊C4—44no—
295C2×C22⋊C4—44no—
296C2×C22⋊C4—44no—
297C2×C22⋊C4—44no—
298C2×C22⋊C4—42no—
299C2×C22⋊C4—42no—
300C2×C22⋊C4—42no—
301C2×C22⋊C4—42no—
302C2×C22⋊C4—44no—
303C2×C22⋊C4—44no—
304C2×C22⋊C4—44no—
305C2×C22⋊C4—44no—
306C2×C22⋊C4—42no—
307C2×C22⋊C4—44no—
308C2×C22⋊C4—42no—
309C2×C22⋊C4—44no—
310C2×C22⋊C4—42no—
311C2×C22⋊C4—42no—
312C2×C22⋊C4—42no—
313C2×C22⋊C4—42no—
314C2×C42—28no—
315C2×C42—44no—
316C2×C42—44no—
317#107—48no—
318#106—48no—
319C22⋊C8—28no—
320C22⋊C8—28no—
321C22⋊C8—28no—
322C22⋊C8C22⋊C4116yescomplemented
323#95—28no—
324#95—24no—
325#95—24no—
326#95—44no—
327#95—42no—
328#95—44no—
329#95—42no—
330C24—22no—
331C24—22no—
332C24—22no—
333C24—22no—
334C24—216no—
335C24—216no—
336C24—21no—
337C24—21no—
338C24—22no—
339C24—21no—
340C24—21no—
341C24—22no—
342C24—22no—
343C24—21no—
344C24—21no—
345C24—22no—
346C24—21no—
347C24—21no—
348C24—21no—
349C24—21no—
350C24—21no—
351C24—21no—
352C24—22no—
353C24—22no—
354C24—28no—
355C24—28no—
356C24—28no—
357C24—28no—
358C24—28no—
359C24—44no—
360C24—44no—
361C24—48no—
362C24—48no—
363C24—48no—
364C24—48no—
365C24—48no—
366C24—48no—
367C24—48no—
368C24—48no—
369C24—48no—
370C24—48no—
371C24—44no—
372C24—44no—
373C24—44no—
374C24—44no—
375C24C2×C4⋊C412yes—
376C24C2×C4⋊C412yes—
377C24C2×C4⋊C412yes—
378C24#12012yes—
379C24#12114yes—
380C24#12312yes—
381C24#13514yes—
382C24#13512yes—
383C24#13512yes—
384C24AGL(1,ℤ/8)12yes—
385C24#13712yes—
386C24C22×D411yescharacteristic
387C22×C4—21no—
388C22×C4—22no—
389C22×C4—21no—
390C22×C4—22no—
391C22×C4—22no—
392C22×C4—22no—
393C22×C4—22no—
394C22×C4—22no—
395C22×C4—22no—
396C22×C4—22no—
397C22×C4—22no—
398C22×C4—22no—
399C22×C4—22no—
400C22×C4—24no—
401C22×C4—22no—
402C22×C4—22no—
403C22×C4—24no—
404C22×C4—24no—
405C22×C4—24no—
406C22×C4—24no—
407C22×C4—24no—
408C22×C4—24no—
409C22×C4—24no—
410C22×C4—24no—
411C22×C4—24no—
412C22×C4—24no—
413C22×C4—24no—
414C22×C4—24no—
415C22×C4—24no—
416C22×C4—24no—
417C22×C4—24no—
418C22×C4—24no—
419C22×C4—24no—
420C22×C4—24no—
421C22×C4—21no—
422C22×C4—22no—
423C22×C4—21no—
424C22×C4—22no—
425C22×C4—28no—
426C22×C4—28no—
427C22×C4—22no—
428C22×C4—22no—
429C22×C4—22no—
430C22×C4—22no—
431C22×C4—22no—
432C22×C4—22no—
433C22×C4—24no—
434C22×C4—22no—
435C22×C4—22no—
436C22×C4—24no—
437C22×C4—28no—
438C22×C4—28no—
439C22×C4—28no—
440C22×C4—28no—
441C22×C4—24no—
442C22×C4—24no—
443C22×C4—44no—
444C22×C4—44no—
445C22×C4—44no—
446C22×C4—48no—
447C22×C4—48no—
448C22×C4—416no—
449C22×C4—416no—
450C22×C4—416no—
451C22×C4—416no—
452C22×C4—432no—
453C22×C4—432no—
454C22×C4—48no—
455C22×C4—48no—
456C22×C4—48no—
457C22×C4—48no—
458C22×C4—42no—
459C22×C4—42no—
460C22×C4—42no—
461C22×C4—42no—
462C22×C4—42no—
463C22×C4—42no—
464C22×C4—42no—
465C22×C4—42no—
466C22×C4—42no—
467C22×C4—42no—
468C22×C4—42no—
469C22×C4—42no—
470C22×C4—42no—
471C22×C4—42no—
472C22×C4—42no—
473C22×C4—42no—
474C22×C4—42no—
475C22×C4—42no—
476C22×C4—42no—
477C22×C4—42no—
478C22×C4—42no—
479C22×C4—42no—
480C22×C4—42no—
481C22×C4—42no—
482C22×C4—42no—
483C22×C4—42no—
484C22×C4—42no—
485C22×C4—42no—
486C22×C4—42no—
487C22×C4—42no—
488C22×C4—42no—
489C22×C4—42no—
490C22×C4—42no—
491C22×C4—42no—
492C22×C4C2×C22⋊C414yes—
493C22×C4C2×C4⋊C412yes—
494C22×C4C2×C4⋊C412yes—
495C22×C4C2×C4⋊C412yes—
496C22×C4#11714yes—
497C22×C4C4×D414yes—
498C22×C4C4×D414yes—
499C22×C4#12012yes—
500C22×C4#12114yes—
501C22×C4C22⋊Q818yes—
502C22×C4C22⋊Q814yes—
503C22×C4C22⋊Q814yes—
504C22×C4#12312yes—
505C22×C4C23×C411yescharacteristic
506C22×C4C22×D412yes—
507C22×C4C22×D411yescharacteristic
508C22×C4C22×D411yescharacteristic
509C22×C4C22×Q811yescharacteristic
510C22×C4C2×#4112yes—
511C22×C4C2×#4111yescharacteristic
512C22×C4C2×#4111yescharacteristic
513C22×C4H(5,𝔽2)12yes—
514C22×C4H(5,𝔽2)12yes—
515C2×C8—22no—
516C2×C8—22no—
517C2×C8—22no—
518C2×C8—22no—
519C2×C8—24no—
520C2×C8—24no—
521C2×C8—24no—
522C2×C8—24no—
523C2×C8—22no—
524C2×C8—22no—
525C2×C8—22no—
526C2×C8—22no—
527C2×C8—22no—
528C2×C8—22no—
529C2×C8—416no—
530C2×C8—416no—
531C2×C8—42no—
532C2×C8—42no—
533C2×C8—42no—
534C2×C8—42no—
535C2×C8C2×C22⋊C414yes—
536C2×C8C2×C22⋊C414yes—
537C4⋊C4—24no—
538C4⋊C4—24no—
539C4⋊C4—24no—
540C4⋊C4—24no—
541C4⋊C4—42no—
542C4⋊C4—42no—
543C4⋊C4—42no—
544C4⋊C4—42no—
545C4⋊C4—42no—
546C4⋊C4—42no—
547C4⋊C4—42no—
548C4⋊C4—42no—
549C4⋊C4—42no—
550C4⋊C4—42no—
551C4⋊C4—42no—
552C4⋊C4—42no—
553C22⋊C4—416no—
554C22⋊C4—416no—
555C22⋊C4—48no—
556C22⋊C4—48no—
557C22⋊C4—88no—
558C22⋊C4—88no—
559C22⋊C4—84no—
560C22⋊C4—84no—
561C42—416no—
562C23—22no—
563C23—24no—
564C23—22no—
565C23—22no—
566C23—24no—
567C23—24no—
568C23—24no—
569C23—24no—
570C23—24no—
571C23—24no—
572C23—24no—
573C23—22no—
574C23—24no—
575C23—24no—
576C23—24no—
577C23—24no—
578C23—232no—
579C23—22no—
580C23—22no—
581C23—24no—
582C23—22no—
583C23—22no—
584C23—22no—
585C23—22no—
586C23—22no—
587C23—22no—
588C23—22no—
589C23—24no—
590C23—24no—
591C23—24no—
592C23—24no—
593C23—24no—
594C23—22no—
595C23—24no—
596C23—24no—
597C23—24no—
598C23—24no—
599C23—22no—
600C23—22no—
601C23—24no—
602C23—24no—
603C23—416no—
604C23—416no—
605C23—416no—
606C23—416no—
607C23—432no—
608C23—432no—
609C23—416no—
610C23—432no—
611C23—432no—
612C23—41no—
613C23—41no—
614C23—41no—
615C23—41no—
616C23—42no—
617C23—416no—
618C23—42no—
619C23—42no—
620C23—42no—
621C23—42no—
622C23—42no—
623C23—42no—
624C23—42no—
625C23—42no—
626C23—41no—
627C23—41no—
628C23—41no—
629C23—41no—
630C23—42no—
631C23—42no—
632C23—42no—
633C23#38014yes—
634C23#38514yes—
635C23#42714yes—
636C23#42714yes—
637C23#42814yes—
638C23#44914yes—
639C23#45214yes—
640C23#48214yes—
641C23#48514yes—
642C23C22×C4⋊C411yescharacteristic
643C23C2×#12011yescharacteristic
644C23C2×#12112yes—
645C23C2×#12311yescharacteristic
646C23#53412yes—
647C23C2×#13511yescharacteristic
648C23C2×#13511yescharacteristic
649C23C2×#13512yes—
650C23C2×AGL(1,ℤ/8)11yescharacteristic
651C23C2×#13711yescharacteristic
652C23#57512yes—
653C2×C4—22no—
654C2×C4—22no—
655C2×C4—24no—
656C2×C4—24no—
657C2×C4—24no—
658C2×C4—24no—
659C2×C4—22no—
660C2×C4—22no—
661C2×C4—24no—
662C2×C4—24no—
663C2×C4—24no—
664C2×C4—24no—
665C2×C4—24no—
666C2×C4—24no—
667C2×C4—24no—
668C2×C4—24no—
669C2×C4—28no—
670C2×C4—28no—
671C2×C4—28no—
672C2×C4—28no—
673C2×C4—22no—
674C2×C4—22no—
675C2×C4—22no—
676C2×C4—416no—
677C2×C4—416no—
678C2×C4—416no—
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—44no—
688C2×C4—44no—
689C2×C4—44no—
690C2×C4—44no—
691C2×C4—44no—
692C2×C4—44no—
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—82no—
707C2×C4—82no—
708C2×C4—82no—
709C2×C4—82no—
710C2×C4—82no—
711C2×C4—82no—
712C2×C4—82no—
713C2×C4—82no—
714C2×C4—82no—
715C2×C4#38014yes—
716C2×C4#38514yes—
717C2×C4C22×C22⋊C411yescharacteristic
718C2×C4C2×#11711yescharacteristic
719C2×C4C2×C4×D411yescharacteristic
720C2×C4C2×C4×D411yescharacteristic
721C2×C4#51811yescharacteristic
722C2×C4#51811yescharacteristic
723C2×C4C2×C22⋊Q812yes—
724C2×C4C2×C22⋊Q811yescharacteristic
725C2×C4C2×C22⋊Q811yescharacteristic
726C2×C4#54312yes—
727C2×C4D4212yes—
728C2×C4D4212yes—
729C2×C4#54612yes—
730C2×C4#54612yes—
731C2×C4#54612yes—
732C2×C4#54612yes—
733C2×C4#55112yes—
734C2×C4#55112yes—
735C8—24no—
736C8—24no—
737C8—42no—
738C8—42no—
739C22—24no—
740C22—28no—
741C22—28no—
742C22—24no—
743C22—24no—
744C22—24no—
745C22—24no—
746C22—24no—
747C22—28no—
748C22—28no—
749C22—24no—
750C22—24no—
751C22—24no—
752C22—24no—
753C22—24no—
754C22—24no—
755C22—464no—
756C22—42no—
757C22—44no—
758C22—44no—
759C22—44no—
760C22—44no—
761C22—42no—
762C22—42no—
763C22—42no—
764C22—42no—
765C22—42no—
766C22—42no—
767C22—42no—
768C22—44no—
769C22—44no—
770C22—44no—
771C22—44no—
772C22#185418yescomplemented
773C22C2×#38011yescharacteristic
774C22C2×#38511yescharacteristic
775C22#231511yescharacteristic
776C22#241012yes—
777C22#241212yes—
778C22C2×#42711yescharacteristic
779C22C2×#42711yescharacteristic
780C22C2×#42811yescharacteristic
781C22#291111yescharacteristic
782C22C2×#44911yescharacteristic
783C22C2×#45211yescharacteristic
784C22#300212yes—
785C22#305012yes—
786C22#305012yes—
787C22#305512yes—
788C22#305612yes—
789C22C2×#48211yescharacteristic
790C22C2×#48511yescharacteristic
791C22#309112yes—
792C22#318812yes—
793C22#319012yes—
794C22#319112yes—
795C22#319112yes—
796C4—24no—
797C4—24no—
798C4—42no—
799C4—84no—
800C4—84no—
801C4—162no—
802C4—162no—
803C4D4×C22⋊C411yescharacteristic
804C4D4×C22⋊C411yescharacteristic
805C4#234211yescharacteristic
806C4#234211yescharacteristic
807C4#243712yes—
808C4#243712yes—
809C2—28no—
810C2—44no—
811C2—44no—
812C2#1387711yescharacteristic
813C2#2065811yescharacteristic
814C2#2066111yescharacteristic
815C2C2×#185411yescharacteristic
816C2#2084311yescharacteristic
817C2#2193911yescharacteristic
818C2#2194111yescharacteristic
819C2#2438212yes—
820C2#2438312yes—
821C2#2455412yes—
822C2#2455512yes—
subgroupG/H
center, socleC24C22×D4
commutatorC22×C4C23×C4
Frattini, cosocleC23×C4C24
prime radicalC26D4
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C24 ◁ C25×C4 ◁ G
LECSG ▷ C23×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
3. C2×#1854C2semidirect
4. C2×#1808C2semidirect
5. C2×#1807C2semidirect
7. #11096C2semidirect
8. #11095C2semidirect
9. #10731C2semidirect
10. #10721C2semidirect
11. #10721C2semidirect
16. C22×#107C22semidirect
17. C22×#106C22semidirect
19. C22×C22⋊C8C4semidirect
41. C2×#340C22semidirect
42. C2×#340C22semidirect
43. C2×#340C22semidirect
44. C2×#340C22semidirect
45. C2×#340C22semidirect
46. C2×#340C22semidirect
322. C22⋊C8C22⋊C4semidirect
772. C22#1854semidirect

Maximal subgroups

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

subgroupindex
C23×C22⋊C82
C2×#22802
C2×#18542
C2×#18082
C2×#18072
#146802
#110962
#110952
#107312
#107212