Finite Group Databasebeta

← #222220

Subgroups — #222220

Order 512.

1086 conjugacy classes of subgroups.

The subgroup lattice has 746 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3101C211yesmaximal, characteristic
2#22509C211yesmaximal, characteristic, complemented
3#22401C211yesmaximal, characteristic
4C2×#1590C211yesmaximal, characteristic, complemented
5C2×#1583C211yesmaximal, characteristic, complemented
6#9661C211yesmaximal, characteristic, complemented
7#9655C211yesmaximal, characteristic, complemented
8#8952C211yesmaximal, characteristic, complemented
9#8949C211yesmaximal, characteristic, complemented
10#8949C211yesmaximal, characteristic, complemented
11#8948C211yesmaximal, characteristic, complemented
12#8598C211yesmaximal, characteristic, complemented
13#8314C211yesmaximal, characteristic, complemented
14#8310C211yesmaximal, characteristic
15#8148C211yesmaximal, characteristic, complemented
16C2×#533C2211yescharacteristic
17C22×C4×D4C2211yescharacteristic
18#3101—24no—
19#3101—24no—
20C2×#483C411yescharacteristic
21C2×#483C411yescharacteristic
22C2×#476C411yescharacteristic
23C2×#476C411yescharacteristic
24C2×#461C411yescharacteristic
25C2×#461C411yescharacteristic
26C2×#450C411yescharacteristic
27C2×#450C411yescharacteristic
28C2×#446C2211yescharacteristic, complemented
29C2×C8×Q8C2211yescharacteristic, complemented
30C2×C4×SD16C2211yescharacteristic
31C2×C4×SD16C2211yescharacteristic
32C2×C4×SD16C2211yescharacteristic
33C2×C4×SD16C2211yescharacteristic
34C2×#436C2211yescharacteristic
35C2×#436C2211yescharacteristic
36C2×#431C2211yescharacteristic
37C2×#407—21no—
38#1985—21no—
39#1984—21no—
40#1984C2211yescharacteristic, complemented
41#1984C2211yescharacteristic, complemented
42#1954C2211yescharacteristic
43#1954C2211yescharacteristic
44#1870—21no—
45#1870—21no—
46#1798—21no—
47#1797C2211yescharacteristic
48#1797C2211yescharacteristic
49#1779—21no—
50#1750—21no—
51C4×C22⋊C8C2211yescharacteristic
52C4×C22⋊C8C2211yescharacteristic
53#1590—24no—
54#1583—24no—
55C2×#334C2211yescharacteristic, complemented
56C2×#334C2211yescharacteristic, complemented
57C2×Q8⋊C8C2211yescharacteristic, complemented
58C2×Q8⋊C8C2211yescharacteristic, complemented
59C2×Q8⋊C8C2211yescharacteristic, complemented
60C2×Q8⋊C8C2211yescharacteristic, complemented
61C2×D4⋊C8C2211yescharacteristic
62C2×D4⋊C8C2211yescharacteristic
63C2×D4⋊C8C2211yescharacteristic
64C2×D4⋊C8C2211yescharacteristic
65C2×#322C2211yescharacteristic, complemented
66C2×C82C2211yescharacteristic, complemented
67#1277C2211yescharacteristic, complemented
68#1277C2211yescharacteristic, complemented
69#1273C2211yescharacteristic, complemented
70#1273C2211yescharacteristic, complemented
71C23×D4C2×C411yescharacteristic
72C24×C4—21no—
73C22×SD16C2×C411yescharacteristic
74C22×SD16C2×C411yescharacteristic
75C22×SD16C2×C411yescharacteristic
76C22×SD16C2×C411yescharacteristic
77C22×M16—21no—
78C22×M16—21no—
79#533—22no—
80#533—22no—
81#533—41no—
82#533—41no—
83C2×C4⋊Q8C2×C411yescharacteristic
84C2×C4⋊Q8C2×C411yescharacteristic
85C2×#125—21no—
86C2×C22⋊Q8—21no—
87C2×C22⋊Q8C2×C411yescharacteristic
88C2×C22⋊Q8C2×C411yescharacteristic
89C2×C4×Q8—21no—
90C2×C4×Q8C2311yescharacteristic
91C2×C4×Q8C2311yescharacteristic
92C2×C4×D4—22no—
93C2×C4×D4—22no—
94C2×C4×D4—21no—
95C2×C4×D4—21no—
96C2×C4×D4—41no—
97C2×C4×D4—41no—
98C2×C4×D4C2×C411yescharacteristic
99C2×C4×D4C2×C411yescharacteristic
100C2×C4×D4C2311yescharacteristic
101C2×C4×D4C2311yescharacteristic
102C2×#117—21no—
103C22×C4⋊C4C2×C411yescharacteristic
104C22×C22⋊C4—21no—
105C22×C42C2311yescharacteristic
106#483—24no—
107#483—24no—
108#476—24no—
109#476—24no—
110#461—24no—
111#461—24no—
112#450—24no—
113#450—24no—
114#446—22no—
115#446—41no—
116C8×Q8—22no—
117C8×Q8—41no—
118C4×SD16—22no—
119C4×SD16—22no—
120C4×SD16—22no—
121C4×SD16—22no—
122C4×SD16—22no—
123C4×SD16—22no—
124C4×SD16D414yes—
125C4×SD16D414yes—
126#436—22no—
127#436—22no—
128#436—41no—
129#436—41no—
130#431—22no—
131#431—22no—
132C2×#106C2×C411yescharacteristic
133C2×#106C2×C411yescharacteristic
134C2×#106C2×C411yescharacteristic
135C2×#106C2×C411yescharacteristic
136C2×C4⋊C8—21no—
137C2×C4⋊C8—21no—
138C2×C4⋊C8C2×C411yescharacteristic
139C2×C4⋊C8C2×C411yescharacteristic
140C2×C4⋊C8C2311yescharacteristic
141C2×C4⋊C8C2311yescharacteristic
142C2×C4⋊C8C2311yescharacteristic
143C2×C4⋊C8C2311yescharacteristic
144C2×#103C2×C411yescharacteristic
145C2×#103C2×C411yescharacteristic
146C2×#103C2×C411yescharacteristic
147C2×#103C2×C411yescharacteristic
148C2×#102C2×C411yescharacteristic
149C2×#102C2×C411yescharacteristic
150C2×#102C2×C411yescharacteristic
151C2×#102C2×C411yescharacteristic
152#407—44no—
153C2×C22⋊C8—21no—
154C2×C22⋊C8—21no—
155C2×C22⋊C8—21no—
156C2×C22⋊C8—21no—
157C2×C22⋊C8—21no—
158C2×C22⋊C8—21no—
159C2×C22⋊C8—21no—
160C2×C22⋊C8—21no—
161C2×C22⋊C8—21no—
162C2×C22⋊C8C2×C411yescharacteristic
163C2×C22⋊C8C2×C411yescharacteristic
164C2×C22⋊C8D411yescharacteristic
165C2×C22⋊C8D411yescharacteristic
166C2×#97—21no—
167C2×C4×C8—21no—
168C2×C4×C8C2311yescharacteristic
169C2×C4×C8C2311yescharacteristic
170C2×C4×C8C2311yescharacteristic
171C2×C4×C8C2311yescharacteristic
172C2×C4×C8C2311yescharacteristic
173C2×C4×C8C2311yescharacteristic
174#336—21no—
175#336—21no—
176#336—21no—
177#336—21no—
178#336—21no—
179#336—21no—
180#336—21no—
181#336D411yescharacteristic
182#336D411yescharacteristic
183#334—22no—
184#334—22no—
185Q8⋊C8—22no—
186Q8⋊C8—22no—
187Q8⋊C8—41no—
188Q8⋊C8—41no—
189D4⋊C8—22no—
190D4⋊C8—22no—
191D4⋊C8—41no—
192D4⋊C8—41no—
193#322—22no—
194C82—22no—
195C25—21no—
196C22×Q8—21no—
197C22×Q8C22×C411yescharacteristic
198C22×Q8C22×C411yescharacteristic
199C22×D4—22no—
200C22×D4—22no—
201C22×D4—21no—
202C22×D4—41no—
203C22×D4—41no—
204C22×D4—41no—
205C22×D4—41no—
206C22×D4C22×C411yescharacteristic
207C22×D4C22×C411yescharacteristic
208C23×C4—21no—
209C23×C4—21no—
210C23×C4—21no—
211C23×C4—21no—
212C23×C4—21no—
213C23×C4—42no—
214C23×C4—42no—
215C23×C4—42no—
216C23×C4—42no—
217C23×C4—81no—
218C23×C4—81no—
219C23×C4C22×C411yescharacteristic
220C23×C4C2×D411yescharacteristic
221C23×C4#4111yescharacteristic
222C2×SD16—22no—
223C2×SD16—22no—
224C2×SD16—22no—
225C2×SD16—22no—
226C2×SD16—22no—
227C2×SD16—41no—
228C2×SD16—41no—
229C2×SD16—41no—
230C2×SD16—41no—
231C2×SD16—41no—
232C2×SD16—41no—
233C2×SD16C22⋊C414yes—
234C2×M16—42no—
235C2×M16—42no—
236C2×M16—42no—
237C2×M16—42no—
238C2×M16—81no—
239C2×M16—81no—
240C22×C8—21no—
241C22×C8—21no—
242C22×C8—21no—
243C22×C8—21no—
244C22×C8—21no—
245C22×C8—21no—
246C22×C8C22×C411yescharacteristic
247C22×C8C22×C411yescharacteristic
248C22×C8C22×C411yescharacteristic
249C22×C8C22×C411yescharacteristic
250C22×C8C2×D411yescharacteristic
251C22×C8C2×D411yescharacteristic
252C22×C8C2×D411yescharacteristic
253C22×C8C2×D411yescharacteristic
254C4⋊Q8—22no—
255C4⋊Q8—22no—
256C4⋊Q8—41no—
257C4⋊Q8—41no—
258#125—42no—
259#125—42no—
260C22⋊Q8—22no—
261C22⋊Q8—22no—
262C22⋊Q8—41no—
263C22⋊Q8—41no—
264C22⋊Q8—42no—
265C22⋊Q8—42no—
266C4×Q8—21no—
267C4×Q8—21no—
268C4×Q8—21no—
269C4×Q8—21no—
270C4×Q8—21no—
271C4×Q8—21no—
272C4×Q8—42no—
273C4×Q8—42no—
274C4×Q8C2×D412yes—
275C4×Q8C2×D412yes—
276C4×D4—22no—
277C4×D4—22no—
278C4×D4—21no—
279C4×D4—21no—
280C4×D4—21no—
281C4×D4—21no—
282C4×D4—21no—
283C4×D4—21no—
284C4×D4—42no—
285C4×D4—42no—
286C4×D4—41no—
287C4×D4—41no—
288C4×D4—42no—
289C4×D4—42no—
290C4×D4C2×D412yes—
291C4×D4C2×D412yes—
292#117—42no—
293#117—42no—
294C2×C4⋊C4—21no—
295C2×C4⋊C4—22no—
296C2×C4⋊C4—21no—
297C2×C4⋊C4—21no—
298C2×C4⋊C4—21no—
299C2×C4⋊C4—21no—
300C2×C4⋊C4—21no—
301C2×C4⋊C4—21no—
302C2×C4⋊C4—21no—
303C2×C4⋊C4—41no—
304C2×C4⋊C4C22×C411yescharacteristic
305C2×C4⋊C4C22×C411yescharacteristic
306C2×C4⋊C4C22×C411yescharacteristic
307C2×C4⋊C4C22×C411yescharacteristic
308C2×C22⋊C4—21no—
309C2×C22⋊C4—21no—
310C2×C22⋊C4—21no—
311C2×C22⋊C4—21no—
312C2×C22⋊C4—21no—
313C2×C22⋊C4—21no—
314C2×C22⋊C4—42no—
315C2×C22⋊C4—42no—
316C2×C42—21no—
317C2×C42—21no—
318C2×C42—21no—
319C2×C42—21no—
320C2×C42—21no—
321C2×C42—21no—
322C2×C42C22×C411yescharacteristic
323C2×C42C2×D411yescharacteristic
324C2×C42#4111yescharacteristic
325C2×C42C2411yescharacteristic
326#106—22no—
327#106—22no—
328#106—22no—
329#106C22⋊C414yes—
330C4⋊C8—22no—
331C4⋊C8—22no—
332C4⋊C8—21no—
333C4⋊C8—21no—
334C4⋊C8—21no—
335C4⋊C8—21no—
336C4⋊C8—21no—
337C4⋊C8—21no—
338C4⋊C8—21no—
339C4⋊C8—21no—
340C4⋊C8—42no—
341C4⋊C8—42no—
342#103—22no—
343#103—22no—
344#103—22no—
345#103C22⋊C414yes—
346#102—22no—
347#102—22no—
348#102—22no—
349#102C22⋊C414yes—
350C22⋊C8—22no—
351C22⋊C8—22no—
352C22⋊C8—22no—
353C22⋊C8—42no—
354C22⋊C8—42no—
355C22⋊C8—42no—
356C22⋊C8—42no—
357C22⋊C8—42no—
358C22⋊C8—42no—
359C22⋊C8—42no—
360C22⋊C8—81no—
361C22⋊C8—81no—
362C22⋊C8SD1614yescomplemented
363#97—42no—
364C4×C8—21no—
365C4×C8—21no—
366C4×C8—21no—
367C4×C8—21no—
368C4×C8—21no—
369C4×C8—21no—
370C4×C8—21no—
371C4×C8—21no—
372C4×C8—21no—
373C4×C8—21no—
374C4×C8—42no—
375C4×C8C2×D412yes—
376C4×C8C2×D412yes—
377C24—21no—
378C24—21no—
379C24—42no—
380C24—42no—
381C24—42no—
382C24—42no—
383C24—42no—
384C24—81no—
385C24—81no—
386C24C4×D411yescharacteristic
387C2×Q8—21no—
388C2×Q8—21no—
389C2×Q8—21no—
390C2×Q8—21no—
391C2×Q8—21no—
392C2×Q8—21no—
393C2×Q8—21no—
394C2×Q8—21no—
395C2×Q8—21no—
396C2×Q8—21no—
397C2×Q8—21no—
398C2×Q8—42no—
399C2×Q8—42no—
400C2×Q8—81no—
401C2×Q8C2×C22⋊C412yes—
402C2×D4—21no—
403C2×D4—21no—
404C2×D4—21no—
405C2×D4—21no—
406C2×D4—21no—
407C2×D4—21no—
408C2×D4—21no—
409C2×D4—21no—
410C2×D4—21no—
411C2×D4—21no—
412C2×D4—42no—
413C2×D4—42no—
414C2×D4—42no—
415C2×D4—44no—
416C2×D4—44no—
417C2×D4—44no—
418C2×D4—44no—
419C2×D4C2×C22⋊C412yes—
420C2×D4#13112yes—
421C22×C4—21no—
422C22×C4—21no—
423C22×C4—21no—
424C22×C4—21no—
425C22×C4—21no—
426C22×C4—21no—
427C22×C4—21no—
428C22×C4—21no—
429C22×C4—21no—
430C22×C4—22no—
431C22×C4—22no—
432C22×C4—21no—
433C22×C4—21no—
434C22×C4—21no—
435C22×C4—21no—
436C22×C4—21no—
437C22×C4—21no—
438C22×C4—21no—
439C22×C4—21no—
440C22×C4—21no—
441C22×C4—41no—
442C22×C4—41no—
443C22×C4—42no—
444C22×C4—42no—
445C22×C4—42no—
446C22×C4—41no—
447C22×C4—41no—
448C22×C4—41no—
449C22×C4—41no—
450C22×C4—42no—
451C22×C4—41no—
452C22×C4—41no—
453C22×C4—41no—
454C22×C4—41no—
455C22×C4—41no—
456C22×C4—41no—
457C22×C4—42no—
458C22×C4—42no—
459C22×C4—81no—
460C22×C4—81no—
461C22×C4—84no—
462C22×C4—84no—
463C22×C4—84no—
464C22×C4—84no—
465C22×C4—81no—
466C22×C4C4×D411yescharacteristic
467C22×C4C4×D411yescharacteristic
468C22×C4C4×D411yescharacteristic
469C22×C4C2×SD1612yes—
470C22×C4#13512yes—
471C22×C4C23×C411yescharacteristic
472C22×C4C22×D411yescharacteristic
473C22×C4C2×#4111yescharacteristic
474SD16—44no—
475SD16—44no—
476SD16—44no—
477SD16—44no—
478M16—84no—
479M16—84no—
480C2×C8—21no—
481C2×C8—21no—
482C2×C8—21no—
483C2×C8—21no—
484C2×C8—21no—
485C2×C8—21no—
486C2×C8—21no—
487C2×C8—21no—
488C2×C8—22no—
489C2×C8—21no—
490C2×C8—21no—
491C2×C8—21no—
492C2×C8—21no—
493C2×C8—21no—
494C2×C8—21no—
495C2×C8—21no—
496C2×C8—21no—
497C2×C8—21no—
498C2×C8—21no—
499C2×C8—21no—
500C2×C8—21no—
501C2×C8—41no—
502C2×C8—41no—
503C2×C8—41no—
504C2×C8—41no—
505C2×C8—41no—
506C2×C8—41no—
507C2×C8—41no—
508C2×C8—41no—
509C2×C8—41no—
510C2×C8—41no—
511C2×C8—41no—
512C2×C8—41no—
513C2×C8—41no—
514C2×C8—41no—
515C2×C8—41no—
516C2×C8—41no—
517C2×C8—41no—
518C2×C8C2×C22⋊C412yes—
519C2×C8C2×C22⋊C412yes—
520C2×C8C2×SD1612yes—
521C2×C8C2×SD1612yes—
522C4⋊C4—21no—
523C4⋊C4—21no—
524C4⋊C4—22no—
525C4⋊C4—22no—
526C4⋊C4—21no—
527C4⋊C4—21no—
528C4⋊C4—21no—
529C4⋊C4—21no—
530C4⋊C4—42no—
531C4⋊C4—42no—
532C4⋊C4—42no—
533C4⋊C4—42no—
534C4⋊C4—42no—
535C4⋊C4—42no—
536C4⋊C4—41no—
537C4⋊C4—41no—
538C4⋊C4C2×C22⋊C412yes—
539C4⋊C4C2×C22⋊C412yes—
540C22⋊C4—22no—
541C22⋊C4—22no—
542C22⋊C4—42no—
543C22⋊C4—42no—
544C22⋊C4—42no—
545C22⋊C4—42no—
546C22⋊C4—41no—
547C22⋊C4—41no—
548C42—21no—
549C42—21no—
550C42—22no—
551C42—22no—
552C42—21no—
553C42—21no—
554C42—21no—
555C42—21no—
556C42—41no—
557C42—41no—
558C42C22×D411yescharacteristic
559C42C22×D411yescharacteristic
560C42H(5,𝔽2)11yescharacteristic
561C42H(5,𝔽2)11yescharacteristic
562C23—21no—
563C23—21no—
564C23—21no—
565C23—21no—
566C23—21no—
567C23—21no—
568C23—22no—
569C23—22no—
570C23—48no—
571C23—41no—
572C23—41no—
573C23—41no—
574C23—41no—
575C23—41no—
576C23—41no—
577C23—41no—
578C23—41no—
579C23—41no—
580C23—41no—
581C23—41no—
582C23—41no—
583C23—84no—
584C23—84no—
585C23—84no—
586C23—84no—
587C23—84no—
588C23—84no—
589C23C4×SD1612yes—
590C23C2×C4×D411yescharacteristic
591Q8—22no—
592Q8—22no—
593Q8—41no—
594Q8—41no—
595Q8—41no—
596Q8—41no—
597Q8—41no—
598Q8—41no—
599Q8—84no—
600D4—22no—
601D4—22no—
602D4—22no—
603D4—22no—
604D4—48no—
605D4—41no—
606D4—41no—
607D4—41no—
608D4—41no—
609C2×C4—21no—
610C2×C4—21no—
611C2×C4—21no—
612C2×C4—21no—
613C2×C4—22no—
614C2×C4—22no—
615C2×C4—22no—
616C2×C4—22no—
617C2×C4—21no—
618C2×C4—21no—
619C2×C4—22no—
620C2×C4—22no—
621C2×C4—22no—
622C2×C4—21no—
623C2×C4—21no—
624C2×C4—21no—
625C2×C4—21no—
626C2×C4—41no—
627C2×C4—41no—
628C2×C4—41no—
629C2×C4—41no—
630C2×C4—41no—
631C2×C4—41no—
632C2×C4—41no—
633C2×C4—41no—
634C2×C4—41no—
635C2×C4—41no—
636C2×C4—42no—
637C2×C4—42no—
638C2×C4—42no—
639C2×C4—42no—
640C2×C4—41no—
641C2×C4—41no—
642C2×C4—41no—
643C2×C4—41no—
644C2×C4—41no—
645C2×C4—41no—
646C2×C4—41no—
647C2×C4—41no—
648C2×C4—41no—
649C2×C4—81no—
650C2×C4—81no—
651C2×C4—84no—
652C2×C4—84no—
653C2×C4—84no—
654C2×C4—81no—
655C2×C4—81no—
656C2×C4—81no—
657C2×C4—81no—
658C2×C4C4×SD1612yes—
659C2×C4C22×C22⋊C411yescharacteristic
660C2×C4#51811yescharacteristic
661C2×C4D4211yescharacteristic
662C2×C4D4211yescharacteristic
663C2×C4#54611yescharacteristic
664C2×C4#54611yescharacteristic
665C2×C4C2×#13111yescharacteristic
666C2×C4#56811yescharacteristic
667C2×C4#56811yescharacteristic
668C2×C4#56811yescharacteristic
669C2×C4C22×SD1611yescharacteristic
670C2×C4C2×#13511yescharacteristic
671C2×C4#57711yescharacteristic
672C2×C4#57711yescharacteristic
673C8—22no—
674C8—22no—
675C8—22no—
676C8—22no—
677C8—42no—
678C8—41no—
679C8—41no—
680C8—41no—
681C8—41no—
682C8—81no—
683C8—81no—
684C8—81no—
685C8—81no—
686C8—81no—
687C22—22no—
688C22—22no—
689C22—22no—
690C22—41no—
691C22—41no—
692C22—41no—
693C22—41no—
694C22—42no—
695C22—42no—
696C22—42no—
697C22—42no—
698C22—42no—
699C22—42no—
700C22—816no—
701C22—81no—
702C22—81no—
703C22—81no—
704C22—81no—
705C22—81no—
706C22—81no—
707C22—81no—
708C22—81no—
709C22D4×C22⋊C411yescharacteristic
710C22#293011yescharacteristic
711C22#293311yescharacteristic
712C22C2×C4×SD1611yescharacteristic
713C22#294911yescharacteristic
714C22#295511yescharacteristic
715C22#295611yescharacteristic
716C4—22no—
717C4—21no—
718C4—21no—
719C4—41no—
720C4—42no—
721C4—42no—
722C4—41no—
723C4—42no—
724C4—81no—
725C4—81no—
726C4—81no—
727C4#287911yescharacteristic
728C4#288011yescharacteristic
729C4#297611yescharacteristic
730C4#297811yescharacteristic
731C4D4×SD1611yescharacteristic
732C4D4×SD1611yescharacteristic
733C4#328211yescharacteristic
734C4#328211yescharacteristic
735C2—42no—
736C2—82no—
737C2—82no—
738C2#1793011yescharacteristic
739C2#1795211yescharacteristic
740C2#1799511yescharacteristic
741C2#1802811yescharacteristic
742C2#2240011yescharacteristic
743C2C22⋊C4×SD1611yescharacteristic
744C2#2245311yescharacteristic
subgroupG/H
centerC22×C4C22×D4
commutatorC22×C4C23×C4
Frattini, cosocleC2×C42C24
socleC23C2×C4×D4
prime radicalC23×D4C2×C4
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C22×C4 ◁ C4×C22⋊C8 ◁ G
LECSG ▷ C2×C42 ▷ C22 ▷ C1

Complements

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

NH ≅ G/Ntype
2. #22509C2semidirect
4. C2×#1590C2semidirect
5. C2×#1583C2semidirect
6. #9661C2semidirect
7. #9655C2semidirect
8. #8952C2semidirect
9. #8949C2semidirect
10. #8949C2semidirect
11. #8948C2semidirect
12. #8598C2semidirect
13. #8314C2semidirect
15. #8148C2semidirect
28. C2×#446C22semidirect
29. C2×C8×Q8C22semidirect
40. #1984C22semidirect
41. #1984C22semidirect
55. C2×#334C22semidirect
56. C2×#334C22semidirect
57. C2×Q8⋊C8C22semidirect
58. C2×Q8⋊C8C22semidirect
59. C2×Q8⋊C8C22semidirect
60. C2×Q8⋊C8C22semidirect
65. C2×#322C22semidirect
66. C2×C82C22semidirect
67. #1277C22semidirect
68. #1277C22semidirect
69. #1273C22semidirect
70. #1273C22semidirect
362. C22⋊C8SD16semidirect

Maximal subgroups

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

subgroupindex
C2×#31012
#225092
#224012
C2×#15902
C2×#15832
#96612
#96552
#89522
#89492
#89482
#85982
#83142
#83102
#81482