Finite Group Databasebeta

← C2×#25675 #6450039

Subgroups — C2×#25675 #6450039

Order 512.

3478 conjugacy classes of subgroups.

The subgroup lattice has 774 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#529C211yesmaximal, characteristic
2C22×#499C211yesmaximal, characteristic, complemented
3C22×#488C211yesmaximal, characteristic, complemented
4C2×#2851C211yesmaximal, characteristic, complemented
5#25675C2116yesmaximal, direct product factor
6C2×#2036C211yesmaximal, characteristic, complemented
7C2×#2034C211yesmaximal, characteristic
8C2×#2035C211yesmaximal, characteristic, complemented
9C2×#2033C211yesmaximal, characteristic
10C2×#1991C211yesmaximal, characteristic, complemented
11C2×#1958C211yesmaximal, characteristic, complemented
12C2×#1865C211yesmaximal, characteristic, complemented
13C2×#1863C211yesmaximal, characteristic, complemented
14C2×#1864C211yesmaximal, characteristic, complemented
15C2×#1862C211yesmaximal, characteristic, complemented
16C2×C4×C22⋊C8C211yesmaximal, characteristic, complemented
17C2×#529—24no—
18C2×#529—28no—
19C2×#529—28no—
20C2×#529C2218yes—
21C22×#126—21no—
22C22×#125C2211yescharacteristic
23C22×#125C2211yescharacteristic
24C22×#124C2211yescharacteristic
25C22×#123—21no—
26C22×C22⋊Q8C2211yescharacteristic
27C22×#121C2211yescharacteristic
28C22×C4×Q8C2211yescharacteristic
29C22×C4×D4—21no—
30C22×C4×D4C2211yescharacteristic
31C22×#117—21no—
32C23×C42C2211yescharacteristic
33C2×#499—28no—
34C2×#499C2218yescomplemented
35C2×#488—28no—
36C2×#488C2218yescomplemented
37C22×#107C2211yescharacteristic
38C22×#107C2211yescharacteristic
39C22×#106C2211yescharacteristic
40C22×#106C2211yescharacteristic
41C22×#103C2211yescharacteristic
42C22×#103C2211yescharacteristic
43C22×#103C2211yescharacteristic
44C22×#103C2211yescharacteristic
45C22×#102C2211yescharacteristic
46C22×#102C2211yescharacteristic
47C22×#102C2211yescharacteristic
48C22×#102C2211yescharacteristic
49C22×C22⋊C8C2211yescharacteristic
50C22×C22⋊C8C2211yescharacteristic
51C22×C4×C8C2211yescharacteristic
52C22×C4×C8C2211yescharacteristic
53#2851—24no—
54#2851C2218yescomplemented
55C2×#389C2211yescharacteristic
56C2×#389C2211yescharacteristic
57C2×#387—21no—
58C2×#387—21no—
59C2×#385—21no—
60C2×#385—21no—
61C2×#382C2211yescharacteristic
62C2×#380C2211yescharacteristic
63C2×#380C2211yescharacteristic
64#2036C2218yescomplemented
65#2035C2218yescomplemented
66#2034C2218yes—
67#2033C2218yes—
68#1991C2218yescomplemented
69#1958C2218yescomplemented
70#1865C2218yescomplemented
71#1864C2218yescomplemented
72#1863C2218yescomplemented
73#1862C2218yescomplemented
74C4×C22⋊C8C2218yescomplemented
75C2×#340C2211yescharacteristic
76C2×#340C2211yescharacteristic
77C2×#340C2211yescharacteristic
78C2×#340C2211yescharacteristic
79C2×#336C2211yescharacteristic
80C2×#336C2211yescharacteristic
81C23×Q8C2311yescharacteristic
82C23×D4—21no—
83C23×D4C2311yescharacteristic
84C24×C4—21no—
85C24×C4D411yescharacteristic
86C24×C4D411yescharacteristic
87C24×C4C2311yescharacteristic
88C23×C8C2311yescharacteristic
89C23×C8C2311yescharacteristic
90C23×C8C2311yescharacteristic
91C23×C8C2311yescharacteristic
92#529—264no—
93#529—232no—
94#529—232no—
95C2×#126—216no—
96C2×#126—28no—
97C2×#125—22no—
98C2×#125—24no—
99C2×#125—22no—
100C2×#125—24no—
101C2×#125—24no—
102C2×#125D418yes—
103C2×#125C2314yes—
104C2×#125C2314yes—
105C2×#124—22no—
106C2×#124—24no—
107C2×#124D418yes—
108C2×#124C2314yes—
109C2×#123—216no—
110C2×#123—28no—
111C2×C22⋊Q8—24no—
112C2×C22⋊Q8—22no—
113C2×C22⋊Q8—24no—
114C2×C22⋊Q8C2314yes—
115C2×#121—24no—
116C2×#121—22no—
117C2×#121—24no—
118C2×#121C2314yes—
119C2×C4×Q8—24no—
120C2×C4×Q8—24no—
121C2×C4×Q8—22no—
122C2×C4×Q8C2314yes—
123C2×C4×D4—216no—
124C2×C4×D4—24no—
125C2×C4×D4—28no—
126C2×C4×D4—24no—
127C2×C4×D4—22no—
128C2×C4×D4C2314yes—
129C2×#117—216no—
130C2×#117—28no—
131C22×C4⋊C4—21no—
132C22×C4⋊C4—21no—
133C22×C4⋊C4—21no—
134C22×C4⋊C4—21no—
135C22×C4⋊C4—21no—
136C22×C4⋊C4—21no—
137C22×C4⋊C4—21no—
138C22×C4⋊C4—21no—
139C22×C4⋊C4C2311yescharacteristic
140C22×C4⋊C4C2311yescharacteristic
141C22×C4⋊C4C2311yescharacteristic
142C22×C4⋊C4C2311yescharacteristic
143C22×C4⋊C4C2311yescharacteristic
144C22×C4⋊C4C2311yescharacteristic
145C22×C22⋊C4—21no—
146C22×C22⋊C4—21no—
147C22×C22⋊C4—21no—
148C22×C22⋊C4—21no—
149C22×C22⋊C4—21no—
150C22×C22⋊C4—21no—
151C22×C22⋊C4—21no—
152C22×C42—21no—
153C22×C42—24no—
154C22×C42—24no—
155C22×C42D414yes—
156C22×C42D411yescharacteristic
157C22×C42D411yescharacteristic
158C22×C42C2314yes—
159C22×C42C2311yescharacteristic
160C22×C42C2311yescharacteristic
161#499—232no—
162#488—232no—
163C2×#107—24no—
164C2×#107—24no—
165C2×#107C2314yes—
166C2×#107C2314yes—
167C2×#106—24no—
168C2×#106—24no—
169C2×#106C2314yes—
170C2×#106C2314yes—
171C2×#103—24no—
172C2×#103—24no—
173C2×#103—24no—
174C2×#103—24no—
175C2×#103C2314yes—
176C2×#103C2314yes—
177C2×#103C2314yes—
178C2×#103C2314yes—
179C2×#102—24no—
180C2×#102—24no—
181C2×#102—24no—
182C2×#102—24no—
183C2×#102C2314yes—
184C2×#102C2314yes—
185C2×#102C2314yes—
186C2×#102C2314yes—
187C2×C22⋊C8—24no—
188C2×C22⋊C8—24no—
189C2×C22⋊C8C2314yes—
190C2×C22⋊C8C2314yes—
191C2×C4×C8—24no—
192C2×C4×C8—24no—
193C2×C4×C8C2314yes—
194C2×C4×C8C2314yes—
195#389—22no—
196#389—22no—
197#389C2314yes—
198#389C2314yes—
199#387—28no—
200#387—28no—
201#385—28no—
202#385—28no—
203#382—22no—
204#382C2314yes—
205#380—22no—
206#380—22no—
207#380C2314yes—
208#380C2314yes—
209C2×#95—21no—
210C2×#95—21no—
211C2×#95—21no—
212C2×#95—21no—
213C2×#95—21no—
214C2×#95—21no—
215#340C2314yes—
216#340C2314yes—
217#340C2314yes—
218#340C2314yes—
219#336C2314yes—
220#336C2314yes—
221C25—21no—
222C25C2×D411yescharacteristic
223C22×Q8—22no—
224C22×Q8—21no—
225C22×Q8—22no—
226C22×Q8—22no—
227C22×Q8—22no—
228C22×Q8—22no—
229C22×Q8C2×D414yes—
230C22×Q8C2412yes—
231C22×D4—28no—
232C22×D4—24no—
233C22×D4—21no—
234C22×D4—22no—
235C22×D4—22no—
236C22×D4—22no—
237C22×D4—22no—
238C22×D4—22no—
239C22×D4—44no—
240C22×D4—44no—
241C22×D4C2×D414yes—
242C22×D4C2412yes—
243C23×C4—28no—
244C23×C4—24no—
245C23×C4—21no—
246C23×C4—21no—
247C23×C4—21no—
248C23×C4—24no—
249C23×C4—24no—
250C23×C4—24no—
251C23×C4—24no—
252C23×C4—22no—
253C23×C4—22no—
254C23×C4—22no—
255C23×C4—22no—
256C23×C4—22no—
257C23×C4—22no—
258C23×C4—21no—
259C23×C4—21no—
260C23×C4—21no—
261C23×C4—21no—
262C23×C4—42no—
263C23×C4—42no—
264C23×C4—44no—
265C23×C4—44no—
266C23×C4C2×D412yes—
267C23×C4C2×D411yescharacteristic
268C23×C4C2×D411yescharacteristic
269C23×C4C2×D414yes—
270C23×C4C2×D414yes—
271C23×C4C2×D411yescharacteristic
272C23×C4C2×D411yescharacteristic
273C23×C4C2×D411yescharacteristic
274C23×C4C2412yes—
275C23×C4C2411yescharacteristic
276C22×C8—22no—
277C22×C8—22no—
278C22×C8—22no—
279C22×C8—22no—
280C22×C8—22no—
281C22×C8—22no—
282C22×C8—22no—
283C22×C8—22no—
284C22×C8—22no—
285C22×C8—22no—
286C22×C8#4114yes—
287C22×C8#4114yes—
288C22×C8C2412yes—
289C22×C8C2412yes—
290C22×C8C2412yes—
291C22×C8C2412yes—
292#126—264no—
293#125—216no—
294#125—28no—
295#125—28no—
296#125—28no—
297#125—48no—
298#125C2×D4116yes—
299#124—216no—
300#124—28no—
301#124C2×D4116yes—
302#123—264no—
303C22⋊Q8—216no—
304C22⋊Q8—28no—
305C22⋊Q8—28no—
306#121—216no—
307#121—28no—
308#121—28no—
309C4×Q8—216no—
310C4×Q8—28no—
311C4×Q8—28no—
312C4×D4—264no—
313C4×D4—216no—
314C4×D4—28no—
315C4×D4—28no—
316#117—264no—
317C2×C4⋊C4—28no—
318C2×C4⋊C4—28no—
319C2×C4⋊C4—28no—
320C2×C4⋊C4—28no—
321C2×C4⋊C4—24no—
322C2×C4⋊C4—24no—
323C2×C4⋊C4—24no—
324C2×C4⋊C4—24no—
325C2×C4⋊C4—21no—
326C2×C4⋊C4—22no—
327C2×C4⋊C4—21no—
328C2×C4⋊C4—22no—
329C2×C4⋊C4—22no—
330C2×C4⋊C4—22no—
331C2×C4⋊C4—22no—
332C2×C4⋊C4—22no—
333C2×C4⋊C4—22no—
334C2×C4⋊C4—22no—
335C2×C4⋊C4—22no—
336C2×C4⋊C4—22no—
337C2×C4⋊C4—24no—
338C2×C4⋊C4—24no—
339C2×C4⋊C4—24no—
340C2×C4⋊C4—24no—
341C2×C4⋊C4—21no—
342C2×C4⋊C4—21no—
343C2×C4⋊C4—21no—
344C2×C4⋊C4—21no—
345C2×C4⋊C4—44no—
346C2×C4⋊C4—44no—
347C2×C4⋊C4—44no—
348C2×C4⋊C4—44no—
349C2×C4⋊C4C2×D414yes—
350C2×C4⋊C4C2×D414yes—
351C2×C4⋊C4C2412yes—
352C2×C4⋊C4C2412yes—
353C2×C4⋊C4C2412yes—
354C2×C4⋊C4C2412yes—
355C2×C4⋊C4C2412yes—
356C2×C4⋊C4C2412yes—
357C2×C22⋊C4—28no—
358C2×C22⋊C4—28no—
359C2×C22⋊C4—28no—
360C2×C22⋊C4—24no—
361C2×C22⋊C4—28no—
362C2×C22⋊C4—28no—
363C2×C22⋊C4—24no—
364C2×C22⋊C4—24no—
365C2×C22⋊C4—24no—
366C2×C22⋊C4—24no—
367C2×C22⋊C4—24no—
368C2×C22⋊C4—24no—
369C2×C22⋊C4—44no—
370C2×C22⋊C4—44no—
371C2×C42—28no—
372C2×C42—24no—
373C2×C42—24no—
374C2×C42—24no—
375C2×C42—22no—
376C2×C42—22no—
377C2×C42—216no—
378C2×C42—28no—
379C2×C42—28no—
380C2×C42C2×D414yes—
381C2×C42C2×D412yes—
382C2×C42C2×D414yes—
383C2×C42C2×D412yes—
384C2×C42C2×D414yes—
385C2×C42C2×D414yes—
386C2×C42C2412yes—
387C2×C42C2412yes—
388#107—28no—
389#107—28no—
390#106—28no—
391#106—28no—
392#103—28no—
393#103—28no—
394#103—28no—
395#103—28no—
396#102—28no—
397#102—28no—
398#102—28no—
399#102—28no—
400C22⋊C8—28no—
401C22⋊C8—28no—
402C4×C8—28no—
403C4×C8—28no—
404#95—24no—
405#95—24no—
406#95—24no—
407#95—24no—
408#95—24no—
409#95—24no—
410C24—22no—
411C24—22no—
412C24—22no—
413C24—22no—
414C24—22no—
415C24—22no—
416C24—24no—
417C24—22no—
418C24—42no—
419C24—42no—
420C24—42no—
421C24—42no—
422C24—42no—
423C24—42no—
424C24#13514yes—
425C24C22×D412yes—
426C24C22×D411yescharacteristic
427C2×Q8—24no—
428C2×Q8—22no—
429C2×Q8—28no—
430C2×Q8—28no—
431C2×Q8—22no—
432C2×Q8—22no—
433C2×Q8—22no—
434C2×Q8—22no—
435C2×Q8—42no—
436C2×Q8—42no—
437C2×Q8—44no—
438C2×Q8—44no—
439C2×Q8C22×D414yes—
440C2×D4—216no—
441C2×D4—24no—
442C2×D4—28no—
443C2×D4—28no—
444C2×D4—22no—
445C2×D4—22no—
446C2×D4—22no—
447C2×D4—22no—
448C2×D4—22no—
449C2×D4—432no—
450C2×D4—48no—
451C2×D4—48no—
452C2×D4—42no—
453C2×D4—42no—
454C2×D4—44no—
455C2×D4—44no—
456C2×D4C22×D414yes—
457C22×C4—22no—
458C22×C4—22no—
459C22×C4—22no—
460C22×C4—22no—
461C22×C4—22no—
462C22×C4—22no—
463C22×C4—216no—
464C22×C4—22no—
465C22×C4—22no—
466C22×C4—24no—
467C22×C4—24no—
468C22×C4—24no—
469C22×C4—22no—
470C22×C4—22no—
471C22×C4—28no—
472C22×C4—22no—
473C22×C4—22no—
474C22×C4—22no—
475C22×C4—22no—
476C22×C4—22no—
477C22×C4—28no—
478C22×C4—24no—
479C22×C4—28no—
480C22×C4—24no—
481C22×C4—24no—
482C22×C4—28no—
483C22×C4—22no—
484C22×C4—22no—
485C22×C4—22no—
486C22×C4—22no—
487C22×C4—22no—
488C22×C4—22no—
489C22×C4—22no—
490C22×C4—22no—
491C22×C4—22no—
492C22×C4—22no—
493C22×C4—44no—
494C22×C4—44no—
495C22×C4—416no—
496C22×C4—416no—
497C22×C4—432no—
498C22×C4—48no—
499C22×C4—42no—
500C22×C4—42no—
501C22×C4—42no—
502C22×C4—42no—
503C22×C4—42no—
504C22×C4—42no—
505C22×C4—44no—
506C22×C4—44no—
507C22×C4—44no—
508C22×C4—44no—
509C22×C4—48no—
510C22×C4—42no—
511C22×C4—42no—
512C22×C4—42no—
513C22×C4—42no—
514C22×C4—42no—
515C22×C4—42no—
516C22×C4—42no—
517C22×C4—42no—
518C22×C4—42no—
519C22×C4—42no—
520C22×C4—42no—
521C22×C4—42no—
522C22×C4#12014yes—
523C22×C4#12014yes—
524C22×C4#13514yes—
525C22×C4C22×D412yes—
526C22×C4C22×D412yes—
527C22×C4C22×D412yes—
528C22×C4C22×D412yes—
529C22×C4C22×D412yes—
530C22×C4C22×D411yescharacteristic
531C22×C4C22×D412yes—
532C22×C4C22×D412yes—
533C22×C4C2×#4112yes—
534C22×C4C2×#4112yes—
535C22×C42−1+412yes—
536C22×C42−1+412yes—
537C22×C4C2511yescharacteristic
538C2×C8—28no—
539C2×C8—28no—
540C2×C8—22no—
541C2×C8—22no—
542C2×C8—22no—
543C2×C8—22no—
544C2×C8—22no—
545C2×C8—22no—
546C2×C8—22no—
547C2×C8—22no—
548C2×C8—22no—
549C2×C8—22no—
550C2×C8—44no—
551C2×C8—44no—
552C2×C8C2×#4114yes—
553C2×C8C2×#4114yes—
554C4⋊C4—216no—
555C4⋊C4—216no—
556C4⋊C4—216no—
557C4⋊C4—216no—
558C4⋊C4—24no—
559C4⋊C4—24no—
560C4⋊C4—22no—
561C4⋊C4—22no—
562C4⋊C4—22no—
563C4⋊C4—22no—
564C4⋊C4—22no—
565C4⋊C4—22no—
566C4⋊C4—22no—
567C4⋊C4—22no—
568C4⋊C4—22no—
569C4⋊C4—22no—
570C4⋊C4—48no—
571C4⋊C4—42no—
572C4⋊C4—42no—
573C4⋊C4—48no—
574C4⋊C4—48no—
575C4⋊C4—42no—
576C4⋊C4—42no—
577C4⋊C4—48no—
578C4⋊C4C22×D414yes—
579C4⋊C4C22×D414yes—
580C22⋊C4—216no—
581C22⋊C4—216no—
582C22⋊C4—216no—
583C22⋊C4—216no—
584C22⋊C4—216no—
585C22⋊C4—48no—
586C22⋊C4—48no—
587C42—216no—
588C42—28no—
589C42—24no—
590C42—28no—
591C42—22no—
592C42—22no—
593C42#12018yes—
594C42C22×D414yes—
595C42C22×D414yes—
596C23—28no—
597C23—22no—
598C23—22no—
599C23—22no—
600C23—28no—
601C23—28no—
602C23—22no—
603C23—22no—
604C23—22no—
605C23—24no—
606C23—44no—
607C23—44no—
608C23—44no—
609C23—44no—
610C23—42no—
611C23—42no—
612C23—48no—
613C23—48no—
614C23—48no—
615C23—42no—
616C23—42no—
617C23—42no—
618C23—42no—
619C23—84no—
620C23—84no—
621C23—84no—
622C23—84no—
623C23C2×#12012yes—
624C23#53212yes—
625C23#53612yes—
626C23C2×#13514yes—
627C23C2×#13512yes—
628C23C2×#13512yes—
629C23#57512yes—
630C23#57512yes—
631C23C23×D411yescharacteristic
632Q8—24no—
633Q8—24no—
634Q8—48no—
635Q8—42no—
636Q8—42no—
637D4—24no—
638D4—24no—
639D4—432no—
640D4—48no—
641D4—42no—
642D4—42no—
643C2×C4—22no—
644C2×C4—28no—
645C2×C4—28no—
646C2×C4—28no—
647C2×C4—22no—
648C2×C4—22no—
649C2×C4—22no—
650C2×C4—22no—
651C2×C4—22no—
652C2×C4—22no—
653C2×C4—22no—
654C2×C4—24no—
655C2×C4—24no—
656C2×C4—24no—
657C2×C4—22no—
658C2×C4—22no—
659C2×C4—22no—
660C2×C4—22no—
661C2×C4—416no—
662C2×C4—416no—
663C2×C4—432no—
664C2×C4—42no—
665C2×C4—42no—
666C2×C4—44no—
667C2×C4—48no—
668C2×C4—44no—
669C2×C4—48no—
670C2×C4—48no—
671C2×C4—42no—
672C2×C4—42no—
673C2×C4—42no—
674C2×C4—42no—
675C2×C4—48no—
676C2×C4—42no—
677C2×C4—42no—
678C2×C4—42no—
679C2×C4—42no—
680C2×C4—42no—
681C2×C4—42no—
682C2×C4—42no—
683C2×C4—42no—
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—84no—
693C2×C4—84no—
694C2×C4—84no—
695C2×C4—84no—
696C2×C4C2×#12014yes—
697C2×C4C2×#12014yes—
698C2×C4C2×#12012yes—
699C2×C4#53212yes—
700C2×C4#53612yes—
701C2×C4#54714yes—
702C2×C4#54714yes—
703C2×C4#54814yes—
704C2×C4#54814yes—
705C2×C4C2×#13514yes—
706C2×C4C23×D411yescharacteristic
707C2×C4C23×D411yescharacteristic
708C2×C4C22×#4111yescharacteristic
709C2×C4C22×#4111yescharacteristic
710C2×C4C2×2−1+411yescharacteristic
711C2×C4C2×2−1+411yescharacteristic
712C8—24no—
713C8—24no—
714C8—42no—
715C8—42no—
716C22—24no—
717C22—24no—
718C22—24no—
719C22—42no—
720C22—416no—
721C22—42no—
722C22—42no—
723C22—42no—
724C22—44no—
725C22—44no—
726C22—44no—
727C22—82no—
728C22—816no—
729C22—82no—
730C22—82no—
731C22—82no—
732C22#243214yes—
733C22#300214yes—
734C22#300214yes—
735C22#316814yes—
736C22#318314yes—
737C22#323214yes—
738C22#323314yes—
739C22C22×#12011yescharacteristic
740C22C2×#53211yescharacteristic
741C22C2×#53611yescharacteristic
742C22C22×#13511yescharacteristic
743C22C22×#13511yescharacteristic
744C22C2×#57511yescharacteristic
745C22C2×#57511yescharacteristic
746C4—24no—
747C4—24no—
748C4—24no—
749C4—42no—
750C4—44no—
751C4—42no—
752C4—44no—
753C4—44no—
754C4—82no—
755C4—82no—
756C4—82no—
757C4—82no—
758C4#243214yes—
759C4C2×#54711yescharacteristic
760C4C2×#54711yescharacteristic
761C4C2×#54811yescharacteristic
762C4C2×#54811yescharacteristic
763C2—44no—
764C2—84no—
765C2#2567518yesdirect product factor
766C2C2×#243211yescharacteristic
767C2C2×#300211yescharacteristic
768C2C2×#300211yescharacteristic
769C2C2×#316811yescharacteristic
770C2C2×#318311yescharacteristic
771C2C2×#323211yescharacteristic
772C2C2×#323311yescharacteristic
subgroupG/H
center, socleC24C22×D4
commutator, Frattini, cosocleC22×C4C25
prime radicalC22×#121C22
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C24 ◁ C23×C42 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
2. C22×#499C2semidirect
3. C22×#488C2semidirect
4. C2×#2851C2semidirect
5. #25675C2direct (N × H)
6. C2×#2036C2semidirect
8. C2×#2035C2semidirect
10. C2×#1991C2semidirect
11. C2×#1958C2semidirect
12. C2×#1865C2semidirect
13. C2×#1863C2semidirect
14. C2×#1864C2semidirect
15. C2×#1862C2semidirect
16. C2×C4×C22⋊C8C2semidirect
34. C2×#499C22semidirect
36. C2×#488C22semidirect
54. #2851C22semidirect
64. #2036C22semidirect
65. #2035C22semidirect
68. #1991C22semidirect
69. #1958C22semidirect
70. #1865C22semidirect
71. #1864C22semidirect
72. #1863C22semidirect
73. #1862C22semidirect
74. C4×C22⋊C8C22semidirect
765. C2#25675direct (N × H)

Maximal subgroups

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

subgroupindex
C22×#5292
C22×#4992
C22×#4882
C2×#28512
#256752
C2×#20362
C2×#20342
C2×#20352
C2×#20332
C2×#19912
C2×#19582
C2×#18652
C2×#18632
C2×#18642
C2×#18622
C2×C4×C22⋊C82