Finite Group Databasebeta

← C2×#25355 #6447157

Subgroups — C2×#25355 #6447157

Order 512.

2706 conjugacy classes of subgroups.

The subgroup lattice has 776 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#478C211yesmaximal, characteristic, complemented
2C22×#435C211yesmaximal, characteristic, complemented
3C2×#2537C211yesmaximal, characteristic
4C2×#2562C211yesmaximal, characteristic, complemented
5#25355C2116yesmaximal, direct product factor
6C2×#2077C211yesmaximal, characteristic, complemented
7C2×#2075C211yesmaximal, characteristic, complemented
8C2×#2034C211yesmaximal, characteristic, complemented
9C2×#2034C211yesmaximal, characteristic, complemented
10C2×#1992C211yesmaximal, characteristic, complemented
11C2×#1948C211yesmaximal, characteristic, complemented
12C2×#1895C211yesmaximal, characteristic, complemented
13C2×#1893C211yesmaximal, characteristic, complemented
14C2×#1809C211yesmaximal, characteristic, complemented
15C2×#1807C211yesmaximal, characteristic, complemented
16C2×#1762C211yesmaximal, characteristic, complemented
17C23×M16C2211yescharacteristic
18C24×C8C2211yescharacteristic
19C22×#125C2211yescharacteristic
20C22×#121—21no—
21C22×#121C2211yescharacteristic
22C22×#121C2211yescharacteristic
23C22×C4×D4C2211yescharacteristic
24C22×C4×D4C2211yescharacteristic
25C2×#478—28no—
26C2×#478C2218yescomplemented
27C2×#435—28no—
28C2×#435C2218yescomplemented
29C22×#107C2211yescharacteristic
30C22×#106C2211yescharacteristic
31C22×#106C2211yescharacteristic
32C22×#106C2211yescharacteristic
33C22×C4⋊C8C2211yescharacteristic
34C22×#102C2211yescharacteristic
35C22×#102C2211yescharacteristic
36C22×#102C2211yescharacteristic
37C22×#102C2211yescharacteristic
38C22×C22⋊C8C2211yescharacteristic
39C22×C22⋊C8C2211yescharacteristic
40C22×#97C2211yescharacteristic
41#2562—24no—
42#2562C2218yescomplemented
43#2537—24no—
44#2537C2218yes—
45C2×#400—21no—
46C2×#394—21no—
47C2×#394—21no—
48C2×#394—21no—
49C2×#388—21no—
50C2×#388—21no—
51C2×#384C2211yescharacteristic
52C2×#380—21no—
53C2×#380C2211yescharacteristic
54C2×#380C2211yescharacteristic
55C2×#380C2211yescharacteristic
56C2×#380C2211yescharacteristic
57C2×#380C2211yescharacteristic
58C2×#380C2211yescharacteristic
59C2×C4×C4⋊C4C2211yescharacteristic
60#2077C2218yescomplemented
61#2075C2218yescomplemented
62#2034C2218yescomplemented
63#2034C2218yescomplemented
64#1992C2218yescomplemented
65#1948C2218yescomplemented
66#1895C2218yescomplemented
67#1893C2218yescomplemented
68#1809C2218yescomplemented
69#1807C2218yescomplemented
70#1762C2218yescomplemented
71C2×#340C2211yescharacteristic
72C2×#340C2211yescharacteristic
73C2×#340C2211yescharacteristic
74C2×#340C2211yescharacteristic
75C2×#340C2211yescharacteristic
76C2×#340C2211yescharacteristic
77C2×#340C2211yescharacteristic
78C2×#340C2211yescharacteristic
79C23×D4—21no—
80C23×D4—21no—
81C23×D4D411yescharacteristic
82C23×D4C2311yescharacteristic
83C24×C4—21no—
84C24×C4C2311yescharacteristic
85C24×C4C2311yescharacteristic
86C22×M16—24no—
87C22×M16—24no—
88C22×M16—42no—
89C22×M16C2314yes—
90C23×C8—24no—
91C23×C8—24no—
92C23×C8—42no—
93C23×C8C2311yescharacteristic
94C23×C8C2314yes—
95C23×C8C2311yescharacteristic
96C23×C8C2311yescharacteristic
97C23×C8C2311yescharacteristic
98C2×#125—22no—
99C2×#125—24no—
100C2×#125—24no—
101C2×#125C2314yes—
102C2×#121—28no—
103C2×#121—22no—
104C2×#121—22no—
105C2×#121—24no—
106C2×#121—24no—
107C2×#121—42no—
108C2×#121—42no—
109C2×#121—48no—
110C2×#121C2314yes—
111C2×#121C2314yes—
112C2×C4×D4—24no—
113C2×C4×D4—22no—
114C2×C4×D4—24no—
115C2×C4×D4—24no—
116C2×C4×D4—24no—
117C2×C4×D4D414yes—
118C2×C4×D4C2314yes—
119C2×C4×D4C2314yes—
120C22×C4⋊C4—21no—
121C22×C4⋊C4—21no—
122C22×C4⋊C4—21no—
123C22×C4⋊C4—21no—
124C22×C4⋊C4D411yescharacteristic
125C22×C4⋊C4C2311yescharacteristic
126C22×C4⋊C4C2311yescharacteristic
127C22×C4⋊C4C2311yescharacteristic
128C22×C4⋊C4C2311yescharacteristic
129C22×C4⋊C4C2311yescharacteristic
130C22×C4⋊C4C2311yescharacteristic
131C22×C4⋊C4C2311yescharacteristic
132C22×C22⋊C4—21no—
133C22×C22⋊C4—21no—
134C22×C22⋊C4—21no—
135C22×C22⋊C4—21no—
136C22×C22⋊C4—21no—
137C22×C22⋊C4—21no—
138C22×C22⋊C4—21no—
139C22×C22⋊C4—21no—
140C22×C22⋊C4—21no—
141C22×C22⋊C4D411yescharacteristic
142C22×C22⋊C4D411yescharacteristic
143C22×C42—21no—
144C22×C42C2311yescharacteristic
145#478—232no—
146#435—232no—
147C2×#107—24no—
148C2×#107C2314yes—
149C2×#106—24no—
150C2×#106—42no—
151C2×#106—42no—
152C2×#106C2314yes—
153C2×#106C2314yes—
154C2×#106C2314yes—
155C2×C4⋊C8D418yescomplemented
156C2×C4⋊C8C2314yes—
157C2×#102—24no—
158C2×#102—24no—
159C2×#102—24no—
160C2×#102—24no—
161C2×#102C2314yes—
162C2×#102C2314yes—
163C2×#102C2314yes—
164C2×#102C2314yes—
165C2×C22⋊C8—24no—
166C2×C22⋊C8—24no—
167C2×C22⋊C8C2314yes—
168C2×C22⋊C8C2314yes—
169C2×#97—24no—
170C2×#97C2314yes—
171#400—28no—
172#394—28no—
173#394—28no—
174#394—28no—
175#388—28no—
176#388—28no—
177#384—22no—
178#384C2314yes—
179#380—22no—
180#380—22no—
181#380—22no—
182#380—22no—
183#380—22no—
184#380—22no—
185#380—28no—
186#380C2314yes—
187#380C2314yes—
188#380C2314yes—
189#380C2314yes—
190#380C2314yes—
191#380C2314yes—
192C4×C4⋊C4—22no—
193C4×C4⋊C4C2314yes—
194C2×#95—21no—
195C2×#95—21no—
196C2×#95—21no—
197C2×#95—21no—
198C2×#95—21no—
199C2×#95—21no—
200C2×#95—21no—
201#340C2314yes—
202#340C2314yes—
203#340C2314yes—
204#340C2314yes—
205#340C2314yes—
206#340C2314yes—
207#340C2314yes—
208#340C2314yes—
209C25—21no—
210C25C2×D411yescharacteristic
211C25C2×D411yescharacteristic
212C22×D4—24no—
213C22×D4—24no—
214C22×D4—24no—
215C22×D4—24no—
216C22×D4—22no—
217C22×D4—21no—
218C22×D4—22no—
219C22×D4—22no—
220C22×D4—22no—
221C22×D4—22no—
222C22×D4—42no—
223C22×D4—44no—
224C22×D4—44no—
225C22×D4—44no—
226C22×D4—44no—
227C22×D4—82no—
228C22×D4—82no—
229C22×D4C2×D414yes—
230C22×D4#4114yes—
231C22×D4C2412yes—
232C23×C4—22no—
233C23×C4—22no—
234C23×C4—22no—
235C23×C4—22no—
236C23×C4—22no—
237C23×C4—22no—
238C23×C4—22no—
239C23×C4—22no—
240C23×C4—22no—
241C23×C4—22no—
242C23×C4—22no—
243C23×C4—22no—
244C23×C4—21no—
245C23×C4—21no—
246C23×C4—21no—
247C23×C4—21no—
248C23×C4—21no—
249C23×C4—21no—
250C23×C4—21no—
251C23×C4—24no—
252C23×C4—44no—
253C23×C4—44no—
254C23×C4—44no—
255C23×C4C2×D412yes—
256C23×C4C2×D412yes—
257C23×C4C2×D411yescharacteristic
258C23×C4C2×D411yescharacteristic
259C23×C4C2×D411yescharacteristic
260C23×C4C2×D411yescharacteristic
261C23×C4C2412yes—
262C23×C4C2412yes—
263C23×C4C2411yescharacteristic
264C2×M16—28no—
265C2×M16—28no—
266C2×M16—44no—
267C2×M16—416no—
268C22×C8—22no—
269C22×C8—22no—
270C22×C8—22no—
271C22×C8—22no—
272C22×C8—22no—
273C22×C8—22no—
274C22×C8—22no—
275C22×C8—22no—
276C22×C8—22no—
277C22×C8—28no—
278C22×C8—28no—
279C22×C8—44no—
280C22×C8—416no—
281C22×C8C2×D414yes—
282C22×C8C2×D414yes—
283C22×C8#4114yes—
284C22×C8C2412yes—
285C22×C8C2412yes—
286C22×C8C2412yes—
287C22×C8C2412yes—
288#125—28no—
289#125—28no—
290#125—48no—
291#121—28no—
292#121—28no—
293#121—44no—
294#121—44no—
295#121—48no—
296#121—48no—
297#121—432no—
298C4×D4—216no—
299C4×D4—28no—
300C4×D4—28no—
301C4×D4—28no—
302C4×D4—28no—
303C4×D4—48no—
304C2×C4⋊C4—24no—
305C2×C4⋊C4—22no—
306C2×C4⋊C4—22no—
307C2×C4⋊C4—22no—
308C2×C4⋊C4—22no—
309C2×C4⋊C4—22no—
310C2×C4⋊C4—22no—
311C2×C4⋊C4—22no—
312C2×C4⋊C4—22no—
313C2×C4⋊C4—22no—
314C2×C4⋊C4—22no—
315C2×C4⋊C4—22no—
316C2×C4⋊C4—22no—
317C2×C4⋊C4—22no—
318C2×C4⋊C4—22no—
319C2×C4⋊C4—24no—
320C2×C4⋊C4—24no—
321C2×C4⋊C4—24no—
322C2×C4⋊C4—21no—
323C2×C4⋊C4—21no—
324C2×C4⋊C4—21no—
325C2×C4⋊C4—21no—
326C2×C4⋊C4—21no—
327C2×C4⋊C4—21no—
328C2×C4⋊C4—21no—
329C2×C4⋊C4—24no—
330C2×C4⋊C4—44no—
331C2×C4⋊C4—44no—
332C2×C4⋊C4—44no—
333C2×C4⋊C4—82no—
334C2×C4⋊C4C2×D414yes—
335C2×C4⋊C4C2412yes—
336C2×C4⋊C4C2412yes—
337C2×C4⋊C4C2412yes—
338C2×C4⋊C4C2412yes—
339C2×C4⋊C4C2412yes—
340C2×C4⋊C4C2412yes—
341C2×C4⋊C4C2412yes—
342C2×C22⋊C4—24no—
343C2×C22⋊C4—24no—
344C2×C22⋊C4—24no—
345C2×C22⋊C4—24no—
346C2×C22⋊C4—24no—
347C2×C22⋊C4—24no—
348C2×C22⋊C4—24no—
349C2×C22⋊C4—24no—
350C2×C22⋊C4—24no—
351C2×C22⋊C4—24no—
352C2×C22⋊C4—24no—
353C2×C22⋊C4—44no—
354C2×C22⋊C4—44no—
355C2×C22⋊C4—44no—
356C2×C22⋊C4—44no—
357C2×C22⋊C4—44no—
358C2×C22⋊C4—44no—
359C2×C22⋊C4—44no—
360C2×C22⋊C4—82no—
361C2×C22⋊C4—82no—
362C2×C22⋊C4C2×D414yes—
363C2×C22⋊C4C2×D414yes—
364C2×C42—24no—
365C2×C42—82no—
366C2×C42C2×D412yes—
367C2×C42C2×D414yes—
368C2×C42#4114yes—
369C2×C42C2412yes—
370#107—28no—
371#106—28no—
372#106—44no—
373#106—44no—
374C4⋊C8C2×D4116yescomplemented
375#102—28no—
376#102—28no—
377#102—28no—
378#102—28no—
379C22⋊C8—28no—
380C22⋊C8—28no—
381#97—28no—
382#95—24no—
383#95—24no—
384#95—24no—
385#95—24no—
386#95—24no—
387#95—24no—
388#95—24no—
389C24—22no—
390C24—22no—
391C24—22no—
392C24—22no—
393C24—22no—
394C24—22no—
395C24—22no—
396C24—24no—
397C24—22no—
398C24—22no—
399C24—22no—
400C24—22no—
401C24—22no—
402C24—22no—
403C24—22no—
404C24—42no—
405C24—42no—
406C24—42no—
407C24—42no—
408C24—42no—
409C24—42no—
410C24AGL(1,ℤ/8)14yes—
411C24C22×D412yes—
412C24C22×D412yes—
413C24C22×D411yescharacteristic
414C2×D4—28no—
415C2×D4—28no—
416C2×D4—28no—
417C2×D4—24no—
418C2×D4—28no—
419C2×D4—22no—
420C2×D4—22no—
421C2×D4—22no—
422C2×D4—22no—
423C2×D4—22no—
424C2×D4—44no—
425C2×D4—416no—
426C2×D4—48no—
427C2×D4—48no—
428C2×D4—48no—
429C2×D4—48no—
430C2×D4—42no—
431C2×D4—44no—
432C2×D4—44no—
433C2×D4—42no—
434C2×D4—84no—
435C2×D4—84no—
436C2×D4—816no—
437C2×D4—816no—
438C2×D4C2×#4114yes—
439C22×C4—22no—
440C22×C4—22no—
441C22×C4—22no—
442C22×C4—22no—
443C22×C4—22no—
444C22×C4—22no—
445C22×C4—22no—
446C22×C4—22no—
447C22×C4—22no—
448C22×C4—22no—
449C22×C4—24no—
450C22×C4—24no—
451C22×C4—24no—
452C22×C4—24no—
453C22×C4—24no—
454C22×C4—24no—
455C22×C4—22no—
456C22×C4—22no—
457C22×C4—22no—
458C22×C4—22no—
459C22×C4—22no—
460C22×C4—22no—
461C22×C4—22no—
462C22×C4—22no—
463C22×C4—22no—
464C22×C4—22no—
465C22×C4—22no—
466C22×C4—22no—
467C22×C4—22no—
468C22×C4—22no—
469C22×C4—22no—
470C22×C4—22no—
471C22×C4—22no—
472C22×C4—22no—
473C22×C4—22no—
474C22×C4—48no—
475C22×C4—48no—
476C22×C4—44no—
477C22×C4—44no—
478C22×C4—44no—
479C22×C4—44no—
480C22×C4—44no—
481C22×C4—44no—
482C22×C4—44no—
483C22×C4—44no—
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×C4—42no—
493C22×C4—42no—
494C22×C4—42no—
495C22×C4—42no—
496C22×C4—42no—
497C22×C4—42no—
498C22×C4—42no—
499C22×C4—42no—
500C22×C4—42no—
501C22×C4—42no—
502C22×C4—42no—
503C22×C4—42no—
504C22×C4—42no—
505C22×C4—48no—
506C22×C4—816no—
507C22×C4#12114yes—
508C22×C4#12114yes—
509C22×C4C22×D412yes—
510C22×C4C22×D412yes—
511C22×C4C22×D412yes—
512C22×C4C22×D412yes—
513C22×C4C22×D411yescharacteristic
514C22×C4C22×D412yes—
515C22×C4C2×#4112yes—
516C22×C4C2×#4112yes—
517C22×C4C2×#4112yes—
518C22×C4H(5,𝔽2)12yes—
519C22×C42−1+412yes—
520C22×C4C2511yescharacteristic
521M16—416no—
522C2×C8—28no—
523C2×C8—28no—
524C2×C8—28no—
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—416no—
535C2×C8—44no—
536C2×C8C22×D414yes—
537C2×C8C22×D414yes—
538C2×C8C2×#4114yes—
539C4⋊C4—28no—
540C4⋊C4—22no—
541C4⋊C4—22no—
542C4⋊C4—22no—
543C4⋊C4—22no—
544C4⋊C4—22no—
545C4⋊C4—22no—
546C4⋊C4—22no—
547C4⋊C4—22no—
548C4⋊C4—22no—
549C4⋊C4—22no—
550C4⋊C4—22no—
551C4⋊C4—22no—
552C4⋊C4—22no—
553C4⋊C4—22no—
554C4⋊C4—48no—
555C4⋊C4—42no—
556C4⋊C4—42no—
557C4⋊C4—42no—
558C4⋊C4—48no—
559C4⋊C4—48no—
560C4⋊C4—42no—
561C4⋊C4—42no—
562C4⋊C4—42no—
563C4⋊C4—42no—
564C4⋊C4—84no—
565C22⋊C4—28no—
566C22⋊C4—28no—
567C22⋊C4—48no—
568C22⋊C4—48no—
569C22⋊C4—48no—
570C22⋊C4—48no—
571C22⋊C4—48no—
572C22⋊C4—48no—
573C22⋊C4—48no—
574C22⋊C4—84no—
575C22⋊C4—84no—
576C42—84no—
577C42#12118yes—
578C42C22×D414yes—
579C42C2×#4114yes—
580C23—28no—
581C23—22no—
582C23—22no—
583C23—22no—
584C23—28no—
585C23—28no—
586C23—22no—
587C23—22no—
588C23—22no—
589C23—22no—
590C23—24no—
591C23—22no—
592C23—22no—
593C23—22no—
594C23—22no—
595C23—22no—
596C23—22no—
597C23—44no—
598C23—44no—
599C23—44no—
600C23—44no—
601C23—44no—
602C23—44no—
603C23—42no—
604C23—44no—
605C23—48no—
606C23—42no—
607C23—44no—
608C23—48no—
609C23—44no—
610C23—48no—
611C23—44no—
612C23—44no—
613C23—42no—
614C23—42no—
615C23—42no—
616C23—42no—
617C23—84no—
618C23—84no—
619C23—84no—
620C23—84no—
621C23C2×#12112yes—
622C23#54612yes—
623C23#54712yes—
624C23C2×AGL(1,ℤ/8)14yes—
625C23C2×AGL(1,ℤ/8)12yes—
626C23#57512yes—
627C23#57712yes—
628C23#57712yes—
629C23C23×D411yescharacteristic
630D4—24no—
631D4—24no—
632D4—416no—
633D4—48no—
634D4—42no—
635D4—42no—
636D4—816no—
637D4—816no—
638C2×C4—28no—
639C2×C4—28no—
640C2×C4—22no—
641C2×C4—22no—
642C2×C4—22no—
643C2×C4—22no—
644C2×C4—22no—
645C2×C4—22no—
646C2×C4—22no—
647C2×C4—22no—
648C2×C4—22no—
649C2×C4—22no—
650C2×C4—44no—
651C2×C4—44no—
652C2×C4—42no—
653C2×C4—42no—
654C2×C4—48no—
655C2×C4—48no—
656C2×C4—42no—
657C2×C4—42no—
658C2×C4—42no—
659C2×C4—42no—
660C2×C4—42no—
661C2×C4—42no—
662C2×C4—42no—
663C2×C4—42no—
664C2×C4—42no—
665C2×C4—42no—
666C2×C4—42no—
667C2×C4—42no—
668C2×C4—42no—
669C2×C4—42no—
670C2×C4—42no—
671C2×C4—42no—
672C2×C4—42no—
673C2×C4—42no—
674C2×C4—42no—
675C2×C4—42no—
676C2×C4—42no—
677C2×C4—42no—
678C2×C4—42no—
679C2×C4—42no—
680C2×C4—42no—
681C2×C4—42no—
682C2×C4—42no—
683C2×C4—816no—
684C2×C4—84no—
685C2×C4—84no—
686C2×C4—84no—
687C2×C4—84no—
688C2×C4—84no—
689C2×C4—84no—
690C2×C4—84no—
691C2×C4C2×#12114yes—
692C2×C4C2×#12114yes—
693C2×C4C2×#12112yes—
694C2×C4#52914yes—
695C2×C4#54214yes—
696C2×C4#54612yes—
697C2×C4#54614yes—
698C2×C4#54712yes—
699C2×C4#54814yes—
700C2×C4C23×D411yescharacteristic
701C2×C4C22×#4111yescharacteristic
702C2×C4C22×#4111yescharacteristic
703C2×C4C22×#4111yescharacteristic
704C2×C4C2×H(5,𝔽2)11yescharacteristic
705C2×C4C2×2−1+411yescharacteristic
706C8—24no—
707C8—24no—
708C8—24no—
709C8—42no—
710C22—24no—
711C22—24no—
712C22—24no—
713C22—416no—
714C22—42no—
715C22—42no—
716C22—42no—
717C22—42no—
718C22—42no—
719C22—42no—
720C22—42no—
721C22—42no—
722C22—42no—
723C22—44no—
724C22—42no—
725C22—44no—
726C22—42no—
727C22—44no—
728C22—88no—
729C22—816no—
730C22—82no—
731C22—82no—
732C22—82no—
733C22—82no—
734C22#242714yes—
735C22#305514yes—
736C22#306014yes—
737C22#330714yes—
738C22#331014yes—
739C22#334514yes—
740C22#334814yes—
741C22C22×#12111yescharacteristic
742C22C2×#54611yescharacteristic
743C22C2×#54711yescharacteristic
744C22C22×AGL(1,ℤ/8)11yescharacteristic
745C22C2×#57511yescharacteristic
746C22C2×#57711yescharacteristic
747C22C2×#57711yescharacteristic
748C4—24no—
749C4—24no—
750C4—42no—
751C4—42no—
752C4—82no—
753C4—82no—
754C4—82no—
755C4—82no—
756C4—82no—
757C4—82no—
758C4—82no—
759C4#242714yes—
760C4C2×#52911yescharacteristic
761C4C2×#54211yescharacteristic
762C4C2×#54611yescharacteristic
763C4C2×#54811yescharacteristic
764C2—44no—
765C2—82no—
766C2—84no—
767C2#2535518yesdirect product factor
768C2C2×#242711yescharacteristic
769C2C2×#305511yescharacteristic
770C2C2×#306011yescharacteristic
771C2C2×#331011yescharacteristic
772C2C2×#330711yescharacteristic
773C2C2×#334511yescharacteristic
774C2C2×#334811yescharacteristic
subgroupG/H
center, socleC24C22×D4
commutator, Frattini, cosocleC22×C4C25
prime radicalC2×#2537C2
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C24 ◁ C22×C4×D4 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C22×#478C2semidirect
2. C22×#435C2semidirect
4. C2×#2562C2semidirect
5. #25355C2direct (N × H)
6. C2×#2077C2semidirect
7. C2×#2075C2semidirect
8. C2×#2034C2semidirect
9. C2×#2034C2semidirect
10. C2×#1992C2semidirect
11. C2×#1948C2semidirect
12. C2×#1895C2semidirect
13. C2×#1893C2semidirect
14. C2×#1809C2semidirect
15. C2×#1807C2semidirect
16. C2×#1762C2semidirect
26. C2×#478C22semidirect
28. C2×#435C22semidirect
42. #2562C22semidirect
60. #2077C22semidirect
61. #2075C22semidirect
62. #2034C22semidirect
63. #2034C22semidirect
64. #1992C22semidirect
65. #1948C22semidirect
66. #1895C22semidirect
67. #1893C22semidirect
68. #1809C22semidirect
69. #1807C22semidirect
70. #1762C22semidirect
155. C2×C4⋊C8D4semidirect
374. C4⋊C8C2×D4semidirect
767. C2#25355direct (N × H)

Maximal subgroups

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

subgroupindex
C22×#4782
C22×#4352
C2×#25372
C2×#25622
#253552
C2×#20772
C2×#20752
C2×#20342
C2×#19922
C2×#19482
C2×#18952
C2×#18932
C2×#18092
C2×#18072
C2×#17622