Finite Group Databasebeta

← C2×#25350 #6447158

Subgroups — C2×#25350 #6447158

Order 512.

2662 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×#474C211yesmaximal, characteristic, complemented
2C22×#435C211yesmaximal, characteristic, complemented
3C2×#2563C211yesmaximal, characteristic, complemented
4C2×#2535C211yesmaximal, characteristic
5#25350C2116yesmaximal, direct product factor
6C2×#2076C211yesmaximal, characteristic, complemented
7C2×#2075C211yesmaximal, characteristic, complemented
8C2×#2034C211yesmaximal, characteristic, complemented
9C2×#2033C211yesmaximal, characteristic, complemented
10C2×#1993C211yesmaximal, characteristic, complemented
11C2×#1949C211yesmaximal, characteristic, complemented
12C2×#1895C211yesmaximal, characteristic, complemented
13C2×#1893C211yesmaximal, characteristic, complemented
14C2×#1809C211yesmaximal, characteristic, complemented
15C2×#1808C211yesmaximal, characteristic, complemented
16C2×#1762C211yesmaximal, characteristic, complemented
17C23×M16C2211yescharacteristic
18C24×C8C2211yescharacteristic
19C22×C4⋊Q8C2211yescharacteristic
20C22×#121C2211yescharacteristic
21C22×#121C2211yescharacteristic
22C22×C4×D4C2211yescharacteristic
23C22×C4×D4C2211yescharacteristic
24C2×#474—28no—
25C2×#474C2218yescomplemented
26C2×#435—28no—
27C2×#435C2218yescomplemented
28C22×#107C2211yescharacteristic
29C22×#107C2211yescharacteristic
30C22×#107C2211yescharacteristic
31C22×#106C2211yescharacteristic
32C22×C4⋊C8C2211yescharacteristic
33C22×#102C2211yescharacteristic
34C22×#102C2211yescharacteristic
35C22×#102C2211yescharacteristic
36C22×#102C2211yescharacteristic
37C22×C22⋊C8C2211yescharacteristic
38C22×C22⋊C8C2211yescharacteristic
39C22×#97C2211yescharacteristic
40#2563—24no—
41#2563C2218yescomplemented
42#2535—24no—
43#2535C2218yes—
44C2×#397—21no—
45C2×#393—21no—
46C2×#393—21no—
47C2×#392—21no—
48C2×#390—21no—
49C2×#386—21no—
50C2×#386—21no—
51C2×#382—21no—
52C2×#382C2211yescharacteristic
53C2×#380C2211yescharacteristic
54C2×#380C2211yescharacteristic
55C2×#380C2211yescharacteristic
56C2×#380C2211yescharacteristic
57C2×#380C2211yescharacteristic
58C2×#380C2211yescharacteristic
59C2×C4×C4⋊C4C2211yescharacteristic
60#2076C2218yescomplemented
61#2075C2218yescomplemented
62#2034C2218yescomplemented
63#2033C2218yescomplemented
64#1993C2218yescomplemented
65#1949C2218yescomplemented
66#1895C2218yescomplemented
67#1893C2218yescomplemented
68#1809C2218yescomplemented
69#1808C2218yescomplemented
70#1762C2218yescomplemented
71C2×#340C2211yescharacteristic
72C2×#340C2211yescharacteristic
73C2×#340C2211yescharacteristic
74C2×#340C2211yescharacteristic
75C2×#340C2211yescharacteristic
76C2×#340C2211yescharacteristic
77C2×#340C2211yescharacteristic
78C2×#340C2211yescharacteristic
79C23×Q8—21no—
80C23×D4—21no—
81C23×D4—21no—
82C23×D4D411yescharacteristic
83C23×D4C2311yescharacteristic
84C24×C4—21no—
85C24×C4C2311yescharacteristic
86C24×C4C2311yescharacteristic
87C22×M16—24no—
88C22×M16—24no—
89C22×M16—42no—
90C22×M16C2314yes—
91C23×C8—24no—
92C23×C8—24no—
93C23×C8—42no—
94C23×C8C2311yescharacteristic
95C23×C8C2314yes—
96C23×C8C2311yescharacteristic
97C23×C8C2311yescharacteristic
98C23×C8C2311yescharacteristic
99C2×C4⋊Q8—22no—
100C2×C4⋊Q8—24no—
101C2×C4⋊Q8—24no—
102C2×C4⋊Q8C2314yes—
103C2×#121—22no—
104C2×#121—22no—
105C2×#121—24no—
106C2×#121—24no—
107C2×#121—42no—
108C2×#121—42no—
109C2×#121C2314yes—
110C2×#121C2314yes—
111C2×C4×D4—24no—
112C2×C4×D4—22no—
113C2×C4×D4—24no—
114C2×C4×D4—24no—
115C2×C4×D4—24no—
116C2×C4×D4D414yes—
117C2×C4×D4C2314yes—
118C2×C4×D4C2314yes—
119C22×C4⋊C4—21no—
120C22×C4⋊C4D411yescharacteristic
121C22×C4⋊C4C2311yescharacteristic
122C22×C4⋊C4C2311yescharacteristic
123C22×C4⋊C4C2311yescharacteristic
124C22×C4⋊C4C2311yescharacteristic
125C22×C4⋊C4C2311yescharacteristic
126C22×C4⋊C4C2311yescharacteristic
127C22×C4⋊C4C2311yescharacteristic
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×C22⋊C4—21no—
136C22×C22⋊C4—21no—
137C22×C22⋊C4D411yescharacteristic
138C22×C22⋊C4D411yescharacteristic
139C22×C42—21no—
140C22×C42C2311yescharacteristic
141#474—232no—
142#435—232no—
143C2×#107—24no—
144C2×#107—24no—
145C2×#107—42no—
146C2×#107C2314yes—
147C2×#107C2314yes—
148C2×#107C2314yes—
149C2×#106—42no—
150C2×#106C2314yes—
151C2×C4⋊C8D418yescomplemented
152C2×C4⋊C8C2314yes—
153C2×#102—24no—
154C2×#102—24no—
155C2×#102—24no—
156C2×#102—24no—
157C2×#102C2314yes—
158C2×#102C2314yes—
159C2×#102C2314yes—
160C2×#102C2314yes—
161C2×C22⋊C8—24no—
162C2×C22⋊C8—24no—
163C2×C22⋊C8C2314yes—
164C2×C22⋊C8C2314yes—
165C2×#97—24no—
166C2×#97C2314yes—
167#397—28no—
168#393—28no—
169#393—28no—
170#392—28no—
171#390—28no—
172#386—28no—
173#386—28no—
174#382—28no—
175#382—22no—
176#382C2314yes—
177#380—22no—
178#380—22no—
179#380—22no—
180#380—22no—
181#380—22no—
182#380—22no—
183#380C2314yes—
184#380C2314yes—
185#380C2314yes—
186#380C2314yes—
187#380C2314yes—
188#380C2314yes—
189C4×C4⋊C4—22no—
190C4×C4⋊C4C2314yes—
191C2×#95—21no—
192C2×#95—21no—
193C2×#95—21no—
194C2×#95—21no—
195C2×#95—21no—
196C2×#95—21no—
197C2×#95—21no—
198C2×#95—21no—
199C2×#95—21no—
200#340C2314yes—
201#340C2314yes—
202#340C2314yes—
203#340C2314yes—
204#340C2314yes—
205#340C2314yes—
206#340C2314yes—
207#340C2314yes—
208C25—21no—
209C25C2×D411yescharacteristic
210C25C2×D411yescharacteristic
211C22×Q8—24no—
212C22×Q8—44no—
213C22×Q8—82no—
214C22×Q8—82no—
215C22×D4—24no—
216C22×D4—24no—
217C22×D4—24no—
218C22×D4—24no—
219C22×D4—22no—
220C22×D4—21no—
221C22×D4—22no—
222C22×D4—22no—
223C22×D4—22no—
224C22×D4—22no—
225C22×D4—42no—
226C22×D4—44no—
227C22×D4—44no—
228C22×D4—44no—
229C22×D4—44no—
230C22×D4—82no—
231C22×D4—82no—
232C22×D4C2×D414yes—
233C22×D4#4114yes—
234C22×D4C2412yes—
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—22no—
245C23×C4—22no—
246C23×C4—22no—
247C23×C4—21no—
248C23×C4—21no—
249C23×C4—21no—
250C23×C4—21no—
251C23×C4—21no—
252C23×C4—21no—
253C23×C4—21no—
254C23×C4—24no—
255C23×C4—44no—
256C23×C4—82no—
257C23×C4—82no—
258C23×C4C2×D412yes—
259C23×C4C2×D412yes—
260C23×C4C2×D411yescharacteristic
261C23×C4C2×D411yescharacteristic
262C23×C4C2×D411yescharacteristic
263C23×C4C2×D411yescharacteristic
264C23×C4C2412yes—
265C23×C4C2412yes—
266C23×C4C2411yescharacteristic
267C2×M16—28no—
268C2×M16—28no—
269C2×M16—44no—
270C2×M16—416no—
271C22×C8—22no—
272C22×C8—22no—
273C22×C8—22no—
274C22×C8—22no—
275C22×C8—22no—
276C22×C8—22no—
277C22×C8—22no—
278C22×C8—22no—
279C22×C8—22no—
280C22×C8—28no—
281C22×C8—28no—
282C22×C8—44no—
283C22×C8—416no—
284C22×C8C2×D414yes—
285C22×C8C2×D414yes—
286C22×C8#4114yes—
287C22×C8C2412yes—
288C22×C8C2412yes—
289C22×C8C2412yes—
290C22×C8C2412yes—
291C4⋊Q8—28no—
292C4⋊Q8—28no—
293C4⋊Q8—48no—
294#121—28no—
295#121—28no—
296#121—44no—
297#121—44no—
298#121—48no—
299#121—48no—
300C4×D4—216no—
301C4×D4—28no—
302C4×D4—28no—
303C4×D4—28no—
304C4×D4—28no—
305C4×D4—48no—
306C2×C4⋊C4—24no—
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—22no—
320C2×C4⋊C4—22no—
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—44no—
330C2×C4⋊C4C2×D414yes—
331C2×C4⋊C4C2412yes—
332C2×C4⋊C4C2412yes—
333C2×C4⋊C4C2412yes—
334C2×C4⋊C4C2412yes—
335C2×C4⋊C4C2412yes—
336C2×C4⋊C4C2412yes—
337C2×C4⋊C4C2412yes—
338C2×C22⋊C4—24no—
339C2×C22⋊C4—24no—
340C2×C22⋊C4—24no—
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—82no—
353C2×C22⋊C4—82no—
354C2×C22⋊C4—82no—
355C2×C22⋊C4—82no—
356C2×C22⋊C4—82no—
357C2×C22⋊C4—82no—
358C2×C22⋊C4C2×D414yes—
359C2×C22⋊C4C2×D414yes—
360C2×C42—24no—
361C2×C42—44no—
362C2×C42C2×D412yes—
363C2×C42C2×D414yes—
364C2×C42#4114yes—
365C2×C42C2412yes—
366#107—28no—
367#107—28no—
368#107—44no—
369#106—44no—
370C4⋊C8C2×D4116yescomplemented
371#102—28no—
372#102—28no—
373#102—28no—
374#102—28no—
375C22⋊C8—28no—
376C22⋊C8—28no—
377#97—28no—
378#95—24no—
379#95—24no—
380#95—24no—
381#95—24no—
382#95—24no—
383#95—24no—
384#95—24no—
385#95—24no—
386#95—24no—
387C24—22no—
388C24—22no—
389C24—22no—
390C24—22no—
391C24—22no—
392C24—22no—
393C24—22no—
394C24—24no—
395C24—22no—
396C24—22no—
397C24—22no—
398C24—22no—
399C24—22no—
400C24—22no—
401C24—22no—
402C24—42no—
403C24—42no—
404C24—42no—
405C24—42no—
406C24—42no—
407C24—42no—
408C24#13714yes—
409C24C22×D412yes—
410C24C22×D412yes—
411C24C22×D411yescharacteristic
412C2×Q8—48no—
413C2×Q8—84no—
414C2×Q8—84no—
415C2×Q8—816no—
416C2×D4—28no—
417C2×D4—28no—
418C2×D4—28no—
419C2×D4—24no—
420C2×D4—28no—
421C2×D4—22no—
422C2×D4—22no—
423C2×D4—22no—
424C2×D4—22no—
425C2×D4—22no—
426C2×D4—44no—
427C2×D4—416no—
428C2×D4—48no—
429C2×D4—48no—
430C2×D4—48no—
431C2×D4—48no—
432C2×D4—42no—
433C2×D4—44no—
434C2×D4—44no—
435C2×D4—42no—
436C2×D4—84no—
437C2×D4—84no—
438C2×D4—816no—
439C2×D4—816no—
440C2×D4C2×#4114yes—
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—22no—
450C22×C4—22no—
451C22×C4—24no—
452C22×C4—24no—
453C22×C4—24no—
454C22×C4—24no—
455C22×C4—24no—
456C22×C4—24no—
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—22no—
475C22×C4—22no—
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—84no—
507C22×C4—84no—
508C22×C4—816no—
509C22×C4#12114yes—
510C22×C4#12114yes—
511C22×C4C22×D412yes—
512C22×C4C22×D412yes—
513C22×C4C22×D412yes—
514C22×C4C22×D412yes—
515C22×C4C22×D411yescharacteristic
516C22×C4C22×D412yes—
517C22×C4C2×#4112yes—
518C22×C4C2×#4112yes—
519C22×C4C2×#4112yes—
520C22×C4H(5,𝔽2)12yes—
521C22×C42−1+412yes—
522C22×C4C2511yescharacteristic
523M16—416no—
524C2×C8—28no—
525C2×C8—28no—
526C2×C8—28no—
527C2×C8—22no—
528C2×C8—22no—
529C2×C8—22no—
530C2×C8—22no—
531C2×C8—22no—
532C2×C8—22no—
533C2×C8—22no—
534C2×C8—22no—
535C2×C8—22no—
536C2×C8—416no—
537C2×C8—44no—
538C2×C8C22×D414yes—
539C2×C8C22×D414yes—
540C2×C8C2×#4114yes—
541C4⋊C4—28no—
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—22no—
555C4⋊C4—22no—
556C4⋊C4—42no—
557C4⋊C4—42no—
558C4⋊C4—42no—
559C4⋊C4—48no—
560C4⋊C4—42no—
561C4⋊C4—42no—
562C4⋊C4—42no—
563C4⋊C4—42no—
564C22⋊C4—28no—
565C22⋊C4—28no—
566C22⋊C4—48no—
567C22⋊C4—48no—
568C22⋊C4—48no—
569C22⋊C4—84no—
570C22⋊C4—84no—
571C22⋊C4—84no—
572C22⋊C4—84no—
573C22⋊C4—84no—
574C22⋊C4—84no—
575C42—48no—
576C42#12118yes—
577C42C22×D414yes—
578C42C2×#4114yes—
579C23—28no—
580C23—22no—
581C23—22no—
582C23—22no—
583C23—28no—
584C23—28no—
585C23—22no—
586C23—22no—
587C23—22no—
588C23—22no—
589C23—24no—
590C23—22no—
591C23—22no—
592C23—22no—
593C23—22no—
594C23—22no—
595C23—22no—
596C23—44no—
597C23—44no—
598C23—44no—
599C23—44no—
600C23—44no—
601C23—44no—
602C23—42no—
603C23—44no—
604C23—48no—
605C23—42no—
606C23—44no—
607C23—44no—
608C23—48no—
609C23—44no—
610C23—44no—
611C23—48no—
612C23—42no—
613C23—42no—
614C23—42no—
615C23—42no—
616C23—84no—
617C23—84no—
618C23—84no—
619C23—84no—
620C23C2×#12112yes—
621C23#54612yes—
622C23#54712yes—
623C23C2×#13714yes—
624C23C2×#13712yes—
625C23#57512yes—
626C23#57612yes—
627C23#57612yes—
628C23C23×D411yescharacteristic
629Q8—816no—
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—44no—
725C22—42no—
726C22—42no—
727C22—44no—
728C22—88no—
729C22—816no—
730C22—82no—
731C22—82no—
732C22—82no—
733C22—82no—
734C22#242714yes—
735C22#305614yes—
736C22#305814yes—
737C22#331414yes—
738C22#331914yes—
739C22#334614yes—
740C22#334714yes—
741C22C22×#12111yescharacteristic
742C22C2×#54611yescharacteristic
743C22C2×#54711yescharacteristic
744C22C22×#13711yescharacteristic
745C22C2×#57511yescharacteristic
746C22C2×#57611yescharacteristic
747C22C2×#57611yescharacteristic
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#2535018yesdirect product factor
768C2C2×#242711yescharacteristic
769C2C2×#305611yescharacteristic
770C2C2×#305811yescharacteristic
771C2C2×#331411yescharacteristic
772C2C2×#331911yescharacteristic
773C2C2×#334611yescharacteristic
774C2C2×#334711yescharacteristic
subgroupG/H
center, socleC24C22×D4
commutator, Frattini, cosocleC22×C4C25
prime radicalC2×#2535C2
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×#474C2semidirect
2. C22×#435C2semidirect
3. C2×#2563C2semidirect
5. #25350C2direct (N × H)
6. C2×#2076C2semidirect
7. C2×#2075C2semidirect
8. C2×#2034C2semidirect
9. C2×#2033C2semidirect
10. C2×#1993C2semidirect
11. C2×#1949C2semidirect
12. C2×#1895C2semidirect
13. C2×#1893C2semidirect
14. C2×#1809C2semidirect
15. C2×#1808C2semidirect
16. C2×#1762C2semidirect
25. C2×#474C22semidirect
27. C2×#435C22semidirect
41. #2563C22semidirect
60. #2076C22semidirect
61. #2075C22semidirect
62. #2034C22semidirect
63. #2033C22semidirect
64. #1993C22semidirect
65. #1949C22semidirect
66. #1895C22semidirect
67. #1893C22semidirect
68. #1809C22semidirect
69. #1808C22semidirect
70. #1762C22semidirect
151. C2×C4⋊C8D4semidirect
370. C4⋊C8C2×D4semidirect
767. C2#25350direct (N × H)

Maximal subgroups

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

subgroupindex
C22×#4742
C22×#4352
C2×#25632
C2×#25352
#253502
C2×#20762
C2×#20752
C2×#20342
C2×#20332
C2×#19932
C2×#19492
C2×#18952
C2×#18932
C2×#18092
C2×#18082
C2×#17622