Finite Group Databasebeta

← C2×#24657 #6448945

Subgroups — C2×#24657 #6448945

Order 512.

2648 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×#464C211yesmaximal, characteristic, complemented
2C22×#432C211yesmaximal, characteristic, complemented
3C2×#2850C211yesmaximal, characteristic
4C2×C4×C22⋊Q8C211yesmaximal, characteristic, complemented
5#24657C2116yesmaximal, direct product factor
6C2×#2036C211yesmaximal, characteristic, complemented
7C2×#2034C211yesmaximal, characteristic
8C2×#2001C211yesmaximal, characteristic, complemented
9C2×#2000C211yesmaximal, characteristic
10C2×#1983C211yesmaximal, characteristic, complemented
11C2×#1973C211yesmaximal, characteristic, complemented
12C2×#1971C211yesmaximal, characteristic, complemented
13C2×#1949C211yesmaximal, characteristic, complemented
14C2×#1936C211yesmaximal, characteristic, complemented
15C2×#1935C211yesmaximal, characteristic, complemented
16C2×#1805C211yesmaximal, characteristic, complemented
17C23×Q16C2211yescharacteristic
18C23×SD16C2211yescharacteristic
19C22×#124C2211yescharacteristic
20C22×C22⋊Q8C2211yescharacteristic
21C22×C22⋊Q8C2211yescharacteristic
22C22×#121C2211yescharacteristic
23C22×C4×Q8C2211yescharacteristic
24C23×C42C2211yescharacteristic
25C2×#464—28no—
26C2×#464C2218yescomplemented
27C2×#432—28no—
28C2×#432C2218yescomplemented
29C22×#107C2211yescharacteristic
30C22×#106C2211yescharacteristic
31C22×C4⋊C8C2211yescharacteristic
32C22×C4⋊C8C2211yescharacteristic
33C22×#103C2211yescharacteristic
34C22×#103C2211yescharacteristic
35C22×#103C2211yescharacteristic
36C22×#103C2211yescharacteristic
37C22×#103C2211yescharacteristic
38C22×#102C2211yescharacteristic
39C22×#102C2211yescharacteristic
40C22×#102C2211yescharacteristic
41C22×C22⋊C8C2211yescharacteristic
42C22×C22⋊C8C2211yescharacteristic
43C22×#97C2211yescharacteristic
44C22×#97C2211yescharacteristic
45#2850—24no—
46#2850C2218yes—
47C4×C22⋊Q8—24no—
48C4×C22⋊Q8C2218yescomplemented
49C2×#391C2211yescharacteristic
50C2×#391C2211yescharacteristic
51C2×#390C2211yescharacteristic
52C2×#389C2211yescharacteristic
53C2×#388—21no—
54C2×#388—21no—
55C2×#387—21no—
56C2×#386—21no—
57C2×#386—21no—
58C2×#385—21no—
59C2×#382C2211yescharacteristic
60C2×#380C2211yescharacteristic
61C2×C4×C4⋊C4—21no—
62C2×C4×C4⋊C4C2211yescharacteristic
63C2×C4×C22⋊C4—21no—
64#2036C2218yescomplemented
65#2034C2218yes—
66#2001C2218yescomplemented
67#2000C2218yes—
68#1983C2218yescomplemented
69#1973C2218yescomplemented
70#1971C2218yescomplemented
71#1949C2218yescomplemented
72#1936C2218yescomplemented
73#1935C2218yescomplemented
74#1805C2218yescomplemented
75C2×#340C2211yescharacteristic
76C2×#340C2211yescharacteristic
77C2×#340C2211yescharacteristic
78C2×#340C2211yescharacteristic
79C23×Q8C2311yescharacteristic
80C23×Q8C2311yescharacteristic
81C23×D4—21no—
82C23×D4C2311yescharacteristic
83C24×C4D411yescharacteristic
84C24×C4D411yescharacteristic
85C24×C4C2311yescharacteristic
86C22×Q16—24no—
87C22×Q16—24no—
88C22×Q16—42no—
89C22×Q16C2314yes—
90C22×SD16—24no—
91C22×SD16—24no—
92C22×SD16—42no—
93C22×SD16C2314yes—
94C23×C8C2311yescharacteristic
95C23×C8C2311yescharacteristic
96C23×C8C2311yescharacteristic
97C23×C8C2311yescharacteristic
98C2×#124—22no—
99C2×#124—24no—
100C2×#124—24no—
101C2×#124C2314yes—
102C2×C22⋊Q8—24no—
103C2×C22⋊Q8—22no—
104C2×C22⋊Q8—22no—
105C2×C22⋊Q8—24no—
106C2×C22⋊Q8—42no—
107C2×C22⋊Q8—42no—
108C2×C22⋊Q8C2314yes—
109C2×C22⋊Q8C2314yes—
110C2×#121—22no—
111C2×#121—42no—
112C2×#121—42no—
113C2×#121C2314yes—
114C2×C4×Q8—22no—
115C2×C4×Q8—24no—
116C2×C4×Q8—24no—
117C2×C4×Q8C2314yes—
118C22×C4⋊C4—21no—
119C22×C4⋊C4—21no—
120C22×C4⋊C4—21no—
121C22×C4⋊C4—21no—
122C22×C4⋊C4C2311yescharacteristic
123C22×C4⋊C4C2311yescharacteristic
124C22×C4⋊C4C2311yescharacteristic
125C22×C4⋊C4C2311yescharacteristic
126C22×C4⋊C4C2311yescharacteristic
127C22×C22⋊C4—21no—
128C22×C22⋊C4—21no—
129C22×C22⋊C4—21no—
130C22×C22⋊C4—21no—
131C22×C22⋊C4—21no—
132C22×C22⋊C4—21no—
133C22×C22⋊C4—21no—
134C22×C22⋊C4—21no—
135C22×C42—24no—
136C22×C42—24no—
137C22×C42—21no—
138C22×C42—21no—
139C22×C42D414yes—
140C22×C42D411yescharacteristic
141C22×C42D411yescharacteristic
142C22×C42C2314yes—
143C22×C42C2311yescharacteristic
144C22×C42C2311yescharacteristic
145#464—232no—
146#432—232no—
147C2×#107—42no—
148C2×#107C2314yes—
149C2×#106—42no—
150C2×#106C2314yes—
151C2×C4⋊C8—24no—
152C2×C4⋊C8D418yescomplemented
153C2×C4⋊C8C2314yes—
154C2×C4⋊C8C2314yes—
155C2×#103—24no—
156C2×#103—24no—
157C2×#103—42no—
158C2×#103—42no—
159C2×#103—42no—
160C2×#103C2314yes—
161C2×#103C2314yes—
162C2×#103C2314yes—
163C2×#103C2314yes—
164C2×#103C2314yes—
165C2×#102—24no—
166C2×#102—24no—
167C2×#102—42no—
168C2×#102C2314yes—
169C2×#102C2314yes—
170C2×#102C2314yes—
171C2×C22⋊C8—24no—
172C2×C22⋊C8—24no—
173C2×C22⋊C8C2314yes—
174C2×C22⋊C8C2314yes—
175C2×#97—24no—
176C2×#97—24no—
177C2×#97C2314yes—
178C2×#97C2314yes—
179#391—22no—
180#391—22no—
181#391C2314yes—
182#391C2314yes—
183#390—22no—
184#390C2314yes—
185#389—22no—
186#389C2314yes—
187#388—28no—
188#388—28no—
189#387—28no—
190#386—28no—
191#386—28no—
192#385—28no—
193#382—22no—
194#382C2314yes—
195#380—22no—
196#380C2314yes—
197C4×C4⋊C4—28no—
198C4×C4⋊C4—22no—
199C4×C4⋊C4C2314yes—
200C4×C22⋊C4—28no—
201C2×#95—21no—
202C2×#95—21no—
203C2×#95—21no—
204C2×#95—21no—
205C2×#95—21no—
206C2×#95—21no—
207C2×#95—21no—
208C2×#95—21no—
209C2×#95—21no—
210#340C2314yes—
211#340C2314yes—
212#340C2314yes—
213#340C2314yes—
214C25—21no—
215C25C2×D411yescharacteristic
216C22×Q8—21no—
217C22×Q8—21no—
218C22×Q8—22no—
219C22×Q8—22no—
220C22×Q8—22no—
221C22×Q8—22no—
222C22×Q8—22no—
223C22×Q8—22no—
224C22×Q8—22no—
225C22×Q8—22no—
226C22×Q8—22no—
227C22×Q8—22no—
228C22×Q8—22no—
229C22×Q8#4114yes—
230C22×Q8C2412yes—
231C22×Q8C2412yes—
232C22×D4—24no—
233C22×D4—22no—
234C22×D4—21no—
235C22×D4—22no—
236C22×D4—22no—
237C22×D4—22no—
238C22×D4—22no—
239C22×D4—22no—
240C22×D4—44no—
241C22×D4—44no—
242C22×D4—44no—
243C22×D4C2412yes—
244C23×C4—24no—
245C23×C4—21no—
246C23×C4—21no—
247C23×C4—24no—
248C23×C4—24no—
249C23×C4—22no—
250C23×C4—22no—
251C23×C4—22no—
252C23×C4—22no—
253C23×C4—22no—
254C23×C4—22no—
255C23×C4—21no—
256C23×C4—21no—
257C23×C4—21no—
258C23×C4—21no—
259C23×C4—21no—
260C23×C4—42no—
261C23×C4—42no—
262C23×C4—42no—
263C23×C4C2×D412yes—
264C23×C4C2×D411yescharacteristic
265C23×C4C2×D411yescharacteristic
266C23×C4C2×D411yescharacteristic
267C23×C4C2×D414yes—
268C23×C4C2×D411yescharacteristic
269C23×C4C2×D411yescharacteristic
270C23×C4C2×D414yes—
271C23×C4C2412yes—
272C23×C4C2411yescharacteristic
273C2×Q16—28no—
274C2×Q16—28no—
275C2×Q16—44no—
276C2×Q16—416no—
277C2×SD16—28no—
278C2×SD16—28no—
279C2×SD16—44no—
280C2×SD16—416no—
281C22×C8—22no—
282C22×C8—22no—
283C22×C8—22no—
284C22×C8—22no—
285C22×C8—22no—
286C22×C8—22no—
287C22×C8—22no—
288C22×C8—22no—
289C22×C8—22no—
290C22×C8—22no—
291C22×C8C2×D414yes—
292C22×C8C2×D414yes—
293C22×C8C2412yes—
294C22×C8C2412yes—
295C22×C8C2412yes—
296C22×C8C2412yes—
297#124—28no—
298#124—28no—
299#124—48no—
300C22⋊Q8—216no—
301C22⋊Q8—28no—
302C22⋊Q8—28no—
303C22⋊Q8—44no—
304C22⋊Q8—44no—
305C22⋊Q8—48no—
306#121—44no—
307#121—44no—
308#121—48no—
309C4×Q8—28no—
310C4×Q8—28no—
311C4×Q8—48no—
312C2×C4⋊C4—28no—
313C2×C4⋊C4—24no—
314C2×C4⋊C4—21no—
315C2×C4⋊C4—22no—
316C2×C4⋊C4—22no—
317C2×C4⋊C4—22no—
318C2×C4⋊C4—22no—
319C2×C4⋊C4—22no—
320C2×C4⋊C4—22no—
321C2×C4⋊C4—22no—
322C2×C4⋊C4—22no—
323C2×C4⋊C4—22no—
324C2×C4⋊C4—24no—
325C2×C4⋊C4—24no—
326C2×C4⋊C4—24no—
327C2×C4⋊C4—21no—
328C2×C4⋊C4—21no—
329C2×C4⋊C4—21no—
330C2×C4⋊C4—21no—
331C2×C4⋊C4—44no—
332C2×C4⋊C4—44no—
333C2×C4⋊C4—44no—
334C2×C4⋊C4#4114yes—
335C2×C4⋊C4C2412yes—
336C2×C4⋊C4C2412yes—
337C2×C4⋊C4C2412yes—
338C2×C4⋊C4C2412yes—
339C2×C4⋊C4C2412yes—
340C2×C22⋊C4—28no—
341C2×C22⋊C4—24no—
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—44no—
350C2×C22⋊C4—44no—
351C2×C22⋊C4—44no—
352C2×C22⋊C4—44no—
353C2×C22⋊C4—44no—
354C2×C22⋊C4—44no—
355C2×C22⋊C4—44no—
356C2×C42—24no—
357C2×C42—24no—
358C2×C42—22no—
359C2×C42—22no—
360C2×C42—216no—
361C2×C42—28no—
362C2×C42—28no—
363C2×C42—24no—
364C2×C42—24no—
365C2×C42—44no—
366C2×C42—44no—
367C2×C42C2×D414yes—
368C2×C42C2×D414yes—
369C2×C42C2×D412yes—
370C2×C42C2×D412yes—
371C2×C42C2×D414yes—
372C2×C42#4114yes—
373C2×C42C2412yes—
374C2×C42C2412yes—
375#107—44no—
376#106—44no—
377C4⋊C8—28no—
378C4⋊C8C2×D4116yescomplemented
379#103—28no—
380#103—28no—
381#103—44no—
382#103—44no—
383#103—44no—
384#102—28no—
385#102—28no—
386#102—44no—
387C22⋊C8—28no—
388C22⋊C8—28no—
389#97—28no—
390#97—28no—
391#95—24no—
392#95—24no—
393#95—24no—
394#95—24no—
395#95—24no—
396#95—24no—
397#95—24no—
398#95—24no—
399#95—24no—
400C24—22no—
401C24—22no—
402C24—22no—
403C24—22no—
404C24—22no—
405C24—22no—
406C24—22no—
407C24—42no—
408C24—42no—
409C24—42no—
410C24—42no—
411C24—42no—
412C24—42no—
413C24—42no—
414C24#13714yes—
415C24C22×D412yes—
416C24C22×D411yescharacteristic
417C2×Q8—24no—
418C2×Q8—22no—
419C2×Q8—28no—
420C2×Q8—28no—
421C2×Q8—22no—
422C2×Q8—22no—
423C2×Q8—22no—
424C2×Q8—22no—
425C2×Q8—22no—
426C2×Q8—22no—
427C2×Q8—22no—
428C2×Q8—22no—
429C2×Q8—22no—
430C2×Q8—22no—
431C2×Q8—42no—
432C2×Q8—42no—
433C2×Q8—42no—
434C2×Q8—42no—
435C2×Q8—42no—
436C2×Q8—44no—
437C2×Q8—44no—
438C2×Q8—44no—
439C2×Q8—44no—
440C2×Q8—44no—
441C2×Q8—44no—
442C2×Q8C2×#4114yes—
443C2×D4—22no—
444C2×D4—22no—
445C2×D4—22no—
446C2×D4—22no—
447C2×D4—22no—
448C2×D4—22no—
449C2×D4—48no—
450C2×D4—48no—
451C2×D4—48no—
452C2×D4—42no—
453C2×D4—42no—
454C2×D4—42no—
455C2×D4—44no—
456C2×D4—44no—
457C2×D4—44no—
458C2×D4—44no—
459C2×D4—816no—
460C22×C4—22no—
461C22×C4—22no—
462C22×C4—22no—
463C22×C4—22no—
464C22×C4—22no—
465C22×C4—22no—
466C22×C4—22no—
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—22no—
478C22×C4—28no—
479C22×C4—28no—
480C22×C4—24no—
481C22×C4—24no—
482C22×C4—24no—
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—22no—
494C22×C4—44no—
495C22×C4—44no—
496C22×C4—44no—
497C22×C4—416no—
498C22×C4—416no—
499C22×C4—42no—
500C22×C4—42no—
501C22×C4—42no—
502C22×C4—42no—
503C22×C4—44no—
504C22×C4—44no—
505C22×C4—44no—
506C22×C4—44no—
507C22×C4—42no—
508C22×C4—42no—
509C22×C4—42no—
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#12114yes—
523C22×C4#12114yes—
524C22×C4C22×D412yes—
525C22×C4C22×D412yes—
526C22×C4C22×D412yes—
527C22×C4C22×D412yes—
528C22×C4C22×D412yes—
529C22×C4C22×D411yescharacteristic
530C22×C4C22×D412yes—
531C22×C4C2×#4112yes—
532C22×C4C2×#4112yes—
533C22×C4C2×#4112yes—
534C22×C4H(5,𝔽2)12yes—
535C22×C4H(5,𝔽2)12yes—
536C22×C4C2511yescharacteristic
537Q16—416no—
538SD16—416no—
539C2×C8—28no—
540C2×C8—28no—
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—22no—
551C2×C8—44no—
552C2×C8—44no—
553C2×C8C22×D414yes—
554C2×C8C22×D414yes—
555C4⋊C4—216no—
556C4⋊C4—24no—
557C4⋊C4—22no—
558C4⋊C4—22no—
559C4⋊C4—22no—
560C4⋊C4—22no—
561C4⋊C4—22no—
562C4⋊C4—22no—
563C4⋊C4—22no—
564C4⋊C4—22no—
565C4⋊C4—22no—
566C4⋊C4—48no—
567C4⋊C4—48no—
568C4⋊C4—42no—
569C4⋊C4—48no—
570C4⋊C4—42no—
571C4⋊C4—42no—
572C4⋊C4—42no—
573C4⋊C4C2×#4114yes—
574C22⋊C4—216no—
575C22⋊C4—48no—
576C22⋊C4—48no—
577C22⋊C4—48no—
578C22⋊C4—48no—
579C22⋊C4—48no—
580C22⋊C4—48no—
581C22⋊C4—48no—
582C42—28no—
583C42—28no—
584C42—24no—
585C42—22no—
586C42—22no—
587C42—48no—
588C42—48no—
589C42#12118yes—
590C42C22×D414yes—
591C42C2×#4114yes—
592C23—28no—
593C23—22no—
594C23—22no—
595C23—22no—
596C23—28no—
597C23—28no—
598C23—22no—
599C23—22no—
600C23—22no—
601C23—44no—
602C23—44no—
603C23—44no—
604C23—44no—
605C23—42no—
606C23—42no—
607C23—42no—
608C23—42no—
609C23—42no—
610C23—42no—
611C23—42no—
612C23—84no—
613C23—84no—
614C23—84no—
615C23—84no—
616C23—84no—
617C23—84no—
618C23—84no—
619C23C2×#12112yes—
620C23#52512yes—
621C23#53512yes—
622C23C2×#13714yes—
623C23C2×#13712yes—
624C23#57512yes—
625C23#57512yes—
626C23#57512yes—
627C23C23×D411yescharacteristic
628Q8—24no—
629Q8—24no—
630Q8—48no—
631Q8—42no—
632Q8—42no—
633Q8—42no—
634Q8—42no—
635Q8—42no—
636Q8—42no—
637Q8—84no—
638D4—42no—
639D4—42no—
640D4—42no—
641D4—42no—
642D4—816no—
643D4—84no—
644C2×C4—28no—
645C2×C4—28no—
646C2×C4—22no—
647C2×C4—22no—
648C2×C4—22no—
649C2×C4—22no—
650C2×C4—22no—
651C2×C4—22no—
652C2×C4—22no—
653C2×C4—24no—
654C2×C4—24no—
655C2×C4—22no—
656C2×C4—22no—
657C2×C4—22no—
658C2×C4—22no—
659C2×C4—22no—
660C2×C4—22no—
661C2×C4—416no—
662C2×C4—416no—
663C2×C4—48no—
664C2×C4—42no—
665C2×C4—44no—
666C2×C4—48no—
667C2×C4—42no—
668C2×C4—44no—
669C2×C4—44no—
670C2×C4—42no—
671C2×C4—42no—
672C2×C4—48no—
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—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×C4—84no—
697C2×C4C2×#12114yes—
698C2×C4C2×#12114yes—
699C2×C4C2×#12112yes—
700C2×C4#52512yes—
701C2×C4#53512yes—
702C2×C4#54614yes—
703C2×C4#55014yes—
704C2×C4#55314yes—
705C2×C4#55514yes—
706C2×C4C23×D411yescharacteristic
707C2×C4C22×#4111yescharacteristic
708C2×C4C22×#4111yescharacteristic
709C2×C4C22×#4111yescharacteristic
710C2×C4C2×H(5,𝔽2)11yescharacteristic
711C2×C4C2×H(5,𝔽2)11yescharacteristic
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—82no—
725C22—82no—
726C22—82no—
727C22—82no—
728C22—82no—
729C22—82no—
730C22—82no—
731C22—168no—
732C22#241414yes—
733C22#305414yes—
734C22#305614yes—
735C22#311114yes—
736C22#311714yes—
737C22#321514yes—
738C22#321914yes—
739C22C22×#12111yescharacteristic
740C22C2×#52511yescharacteristic
741C22C2×#53511yescharacteristic
742C22C22×#13711yescharacteristic
743C22C2×#57511yescharacteristic
744C22C2×#57511yescharacteristic
745C22C2×#57511yescharacteristic
746C4—24no—
747C4—24no—
748C4—42no—
749C4—42no—
750C4—44no—
751C4—42no—
752C4—44no—
753C4—82no—
754C4—82no—
755C4—82no—
756C4—82no—
757C4—82no—
758C4#241414yes—
759C4C2×#54611yescharacteristic
760C4C2×#55011yescharacteristic
761C4C2×#55311yescharacteristic
762C4C2×#55511yescharacteristic
763C2—44no—
764C2—162no—
765C2#2465718yesdirect product factor
766C2C2×#241411yescharacteristic
767C2C2×#305411yescharacteristic
768C2C2×#305611yescharacteristic
769C2C2×#311711yescharacteristic
770C2C2×#311111yescharacteristic
771C2C2×#321511yescharacteristic
772C2C2×#321911yescharacteristic
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
1. C22×#464C2semidirect
2. C22×#432C2semidirect
4. C2×C4×C22⋊Q8C2semidirect
5. #24657C2direct (N × H)
6. C2×#2036C2semidirect
8. C2×#2001C2semidirect
10. C2×#1983C2semidirect
11. C2×#1973C2semidirect
12. C2×#1971C2semidirect
13. C2×#1949C2semidirect
14. C2×#1936C2semidirect
15. C2×#1935C2semidirect
16. C2×#1805C2semidirect
26. C2×#464C22semidirect
28. C2×#432C22semidirect
48. C4×C22⋊Q8C22semidirect
64. #2036C22semidirect
66. #2001C22semidirect
68. #1983C22semidirect
69. #1973C22semidirect
70. #1971C22semidirect
71. #1949C22semidirect
72. #1936C22semidirect
73. #1935C22semidirect
74. #1805C22semidirect
152. C2×C4⋊C8D4semidirect
378. C4⋊C8C2×D4semidirect
765. C2#24657direct (N × H)

Maximal subgroups

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

subgroupindex
C22×#4642
C22×#4322
C2×#28502
C2×C4×C22⋊Q82
#246572
C2×#20362
C2×#20342
C2×#20012
C2×#20002
C2×#19832
C2×#19732
C2×#19712
C2×#19492
C2×#19362
C2×#19352
C2×#18052