Finite Group Databasebeta

← C2×#25249 #6441722

Subgroups — C2×#25249 #6441722

Order 512.

2570 conjugacy classes of subgroups.

The subgroup lattice has 768 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#482C211yesmaximal, characteristic, complemented
2C22×#435C211yesmaximal, characteristic, complemented
3C2×#2485C211yesmaximal, characteristic, complemented
4C2×#2414C211yesmaximal, characteristic
5#25249C2116yesmaximal, direct product factor
6C2×#2086C211yesmaximal, characteristic, complemented
7C2×#2077C211yesmaximal, characteristic, complemented
8C2×#2065C211yesmaximal, characteristic, complemented
9C2×#2033C211yesmaximal, characteristic, complemented
10C2×#1943C211yesmaximal, characteristic, complemented
11C2×#1936C211yesmaximal, characteristic, complemented
12C2×#1895C211yesmaximal, characteristic, complemented
13C2×#1893C211yesmaximal, characteristic, complemented
14C2×#1854C211yesmaximal, characteristic, complemented
15C2×#1809C211yesmaximal, characteristic, complemented
16C2×#1735C211yesmaximal, characteristic, complemented
17C23×M16C2211yescharacteristic
18C24×C8C2211yescharacteristic
19C22×#121C2211yescharacteristic
20C22×#121C2211yescharacteristic
21C22×C4×D4C2211yescharacteristic
22C22×#117C2211yescharacteristic
23C22×#117C2211yescharacteristic
24C2×#482—28no—
25C2×#482C2218yescomplemented
26C2×#435—28no—
27C2×#435C2218yescomplemented
28C22×#107C2211yescharacteristic
29C22×#107C2211yescharacteristic
30C22×#106C2211yescharacteristic
31C22×#106C2211yescharacteristic
32C22×C4⋊C8C2211yescharacteristic
33C22×#102C2211yescharacteristic
34C22×#102C2211yescharacteristic
35C22×#102C2211yescharacteristic
36C22×#102C2211yescharacteristic
37C22×C22⋊C8C2211yescharacteristic
38C22×C22⋊C8C2211yescharacteristic
39C22×#97C2211yescharacteristic
40#2485—24no—
41#2485C2218yescomplemented
42#2414—24no—
43#2414C2218yes—
44C2×#397—21no—
45C2×#394—21no—
46C2×#394—21no—
47C2×#392—21no—
48C2×#390—21no—
49C2×#390C2211yescharacteristic
50C2×#389C2211yescharacteristic
51C2×#389C2211yescharacteristic
52C2×#389C2211yescharacteristic
53C2×#388—21no—
54C2×#388—21no—
55C2×#387—21no—
56C2×#380C2211yescharacteristic
57C2×#380C2211yescharacteristic
58C2×#380C2211yescharacteristic
59C2×#380C2211yescharacteristic
60#2086C2218yescomplemented
61#2077C2218yescomplemented
62#2065C2218yescomplemented
63#2033C2218yescomplemented
64#1943C2218yescomplemented
65#1936C2218yescomplemented
66#1895C2218yescomplemented
67#1893C2218yescomplemented
68#1854C2218yescomplemented
69#1809C2218yescomplemented
70#1735C2218yescomplemented
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×C4C2311yescharacteristic
84C24×C4C2311yescharacteristic
85C22×M16—24no—
86C22×M16—24no—
87C22×M16—42no—
88C22×M16C2314yes—
89C23×C8—24no—
90C23×C8—24no—
91C23×C8—42no—
92C23×C8C2311yescharacteristic
93C23×C8C2314yes—
94C23×C8C2311yescharacteristic
95C23×C8C2311yescharacteristic
96C23×C8C2311yescharacteristic
97C2×#121—22no—
98C2×#121—22no—
99C2×#121—24no—
100C2×#121—24no—
101C2×#121—24no—
102C2×#121—42no—
103C2×#121C2314yes—
104C2×#121C2314yes—
105C2×C4×D4—24no—
106C2×C4×D4—24no—
107C2×C4×D4D414yes—
108C2×C4×D4C2314yes—
109C2×#117—22no—
110C2×#117—22no—
111C2×#117—24no—
112C2×#117—24no—
113C2×#117—24no—
114C2×#117—42no—
115C2×#117C2314yes—
116C2×#117C2314yes—
117C22×C4⋊C4—21no—
118C22×C4⋊C4—21no—
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⋊C4—21no—
138C22×C22⋊C4D411yescharacteristic
139C22×C22⋊C4D411yescharacteristic
140C22×C42—21no—
141C22×C42—21no—
142C22×C42C2311yescharacteristic
143#482—232no—
144#435—232no—
145C2×#107—24no—
146C2×#107—24no—
147C2×#107C2314yes—
148C2×#107C2314yes—
149C2×#106—24no—
150C2×#106—42no—
151C2×#106C2314yes—
152C2×#106C2314yes—
153C2×C4⋊C8—24no—
154C2×C4⋊C8C2314yes—
155C2×#102—24no—
156C2×#102—24no—
157C2×#102—24no—
158C2×#102—42no—
159C2×#102C2314yes—
160C2×#102C2314yes—
161C2×#102C2314yes—
162C2×#102C2314yes—
163C2×C22⋊C8—24no—
164C2×C22⋊C8D418yescomplemented
165C2×C22⋊C8C2314yes—
166C2×C22⋊C8C2314yes—
167C2×#97—24no—
168C2×#97C2314yes—
169#397—28no—
170#394—28no—
171#394—28no—
172#392—28no—
173#390—28no—
174#390—22no—
175#390C2314yes—
176#389—22no—
177#389—22no—
178#389—22no—
179#389C2314yes—
180#389C2314yes—
181#389C2314yes—
182#388—28no—
183#388—28no—
184#387—28no—
185#380—22no—
186#380—22no—
187#380—22no—
188#380—22no—
189#380C2314yes—
190#380C2314yes—
191#380C2314yes—
192#380C2314yes—
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×D4—24no—
212C22×D4—24no—
213C22×D4—24no—
214C22×D4—22no—
215C22×D4—21no—
216C22×D4—22no—
217C22×D4—22no—
218C22×D4—22no—
219C22×D4—22no—
220C22×D4—22no—
221C22×D4—42no—
222C22×D4—42no—
223C22×D4—44no—
224C22×D4—44no—
225C22×D4—44no—
226C22×D4—82no—
227C22×D4—82no—
228C22×D4—82no—
229C22×D4C2×D414yes—
230C22×D4C2412yes—
231C23×C4—22no—
232C23×C4—22no—
233C23×C4—22no—
234C23×C4—22no—
235C23×C4—21no—
236C23×C4—22no—
237C23×C4—22no—
238C23×C4—22no—
239C23×C4—22no—
240C23×C4—22no—
241C23×C4—22no—
242C23×C4—21no—
243C23×C4—21no—
244C23×C4—21no—
245C23×C4—21no—
246C23×C4—21no—
247C23×C4—21no—
248C23×C4C2×D412yes—
249C23×C4C2×D411yescharacteristic
250C23×C4C2×D411yescharacteristic
251C23×C4C2×D411yescharacteristic
252C23×C4C2×D412yes—
253C23×C4C2×D411yescharacteristic
254C23×C4C2×D414yes—
255C23×C4#4114yes—
256C23×C4C2412yes—
257C23×C4C2412yes—
258C23×C4C2411yescharacteristic
259C2×M16—28no—
260C2×M16—28no—
261C2×M16—44no—
262C2×M16—416no—
263C22×C8—22no—
264C22×C8—22no—
265C22×C8—22no—
266C22×C8—22no—
267C22×C8—22no—
268C22×C8—22no—
269C22×C8—22no—
270C22×C8—28no—
271C22×C8—22no—
272C22×C8—22no—
273C22×C8—28no—
274C22×C8—44no—
275C22×C8—416no—
276C22×C8C2×D414yes—
277C22×C8C2×D414yes—
278C22×C8#4114yes—
279C22×C8C2412yes—
280C22×C8C2412yes—
281C22×C8C2412yes—
282C22×C8C2412yes—
283#121—28no—
284#121—28no—
285#121—28no—
286#121—44no—
287#121—48no—
288#121—48no—
289C4×D4—216no—
290C4×D4—28no—
291C4×D4—28no—
292#117—28no—
293#117—28no—
294#117—28no—
295#117—44no—
296#117—48no—
297#117—48no—
298C2×C4⋊C4—24no—
299C2×C4⋊C4—21no—
300C2×C4⋊C4—22no—
301C2×C4⋊C4—22no—
302C2×C4⋊C4—22no—
303C2×C4⋊C4—22no—
304C2×C4⋊C4—22no—
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—24no—
314C2×C4⋊C4—21no—
315C2×C4⋊C4—21no—
316C2×C4⋊C4—21no—
317C2×C4⋊C4—21no—
318C2×C4⋊C4—21no—
319C2×C4⋊C4—21no—
320C2×C4⋊C4—24no—
321C2×C4⋊C4—24no—
322C2×C4⋊C4—44no—
323C2×C4⋊C4—82no—
324C2×C4⋊C4—82no—
325C2×C4⋊C4C2×D414yes—
326C2×C4⋊C4#4114yes—
327C2×C4⋊C4C2412yes—
328C2×C4⋊C4C2412yes—
329C2×C4⋊C4C2412yes—
330C2×C4⋊C4C2412yes—
331C2×C4⋊C4C2412yes—
332C2×C4⋊C4C2412yes—
333C2×C4⋊C4C2412yes—
334C2×C22⋊C4—24no—
335C2×C22⋊C4—24no—
336C2×C22⋊C4—24no—
337C2×C22⋊C4—24no—
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—44no—
347C2×C22⋊C4—44no—
348C2×C22⋊C4—44no—
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⋊C4C2×D414yes—
357C2×C22⋊C4C2×D414yes—
358C2×C42—22no—
359C2×C42—22no—
360C2×C42—24no—
361C2×C42—24no—
362C2×C42—44no—
363C2×C42—44no—
364C2×C42C2×D412yes—
365C2×C42C2412yes—
366#107—28no—
367#107—28no—
368#106—28no—
369#106—44no—
370C4⋊C8—28no—
371#102—28no—
372#102—28no—
373#102—28no—
374#102—44no—
375C22⋊C8—28no—
376C22⋊C8C2×D4116yescomplemented
377#97—28no—
378#95—24no—
379#95—24no—
380#95—24no—
381#95—24no—
382#95—24no—
383#95—24no—
384#95—24no—
385C24—22no—
386C24—22no—
387C24—22no—
388C24—22no—
389C24—22no—
390C24—22no—
391C24—22no—
392C24—22no—
393C24—22no—
394C24—22no—
395C24—22no—
396C24—22no—
397C24—22no—
398C24—22no—
399C24—42no—
400C24—42no—
401C24—42no—
402C24—42no—
403C24—42no—
404C24—42no—
405C24—42no—
406C24#12114yes—
407C24C22×D412yes—
408C24C22×D412yes—
409C24C22×D411yescharacteristic
410C2×D4—28no—
411C2×D4—22no—
412C2×D4—22no—
413C2×D4—22no—
414C2×D4—22no—
415C2×D4—22no—
416C2×D4—22no—
417C2×D4—44no—
418C2×D4—44no—
419C2×D4—48no—
420C2×D4—416no—
421C2×D4—48no—
422C2×D4—48no—
423C2×D4—42no—
424C2×D4—44no—
425C2×D4—44no—
426C2×D4—44no—
427C2×D4—42no—
428C2×D4—44no—
429C2×D4—42no—
430C2×D4—84no—
431C2×D4—84no—
432C2×D4—84no—
433C2×D4—816no—
434C2×D4—816no—
435C22×C4—22no—
436C22×C4—22no—
437C22×C4—28no—
438C22×C4—28no—
439C22×C4—24no—
440C22×C4—28no—
441C22×C4—28no—
442C22×C4—24no—
443C22×C4—22no—
444C22×C4—22no—
445C22×C4—22no—
446C22×C4—22no—
447C22×C4—22no—
448C22×C4—22no—
449C22×C4—22no—
450C22×C4—24no—
451C22×C4—22no—
452C22×C4—22no—
453C22×C4—22no—
454C22×C4—22no—
455C22×C4—22no—
456C22×C4—22no—
457C22×C4—22no—
458C22×C4—24no—
459C22×C4—24no—
460C22×C4—24no—
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—42no—
474C22×C4—42no—
475C22×C4—44no—
476C22×C4—44no—
477C22×C4—44no—
478C22×C4—44no—
479C22×C4—42no—
480C22×C4—42no—
481C22×C4—42no—
482C22×C4—42no—
483C22×C4—42no—
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#12114yes—
498C22×C4#12118yes—
499C22×C4C22×D412yes—
500C22×C4C22×D412yes—
501C22×C4C22×D412yes—
502C22×C4C22×D412yes—
503C22×C4C22×D414yes—
504C22×C4C22×D411yescharacteristic
505C22×C4C22×D412yes—
506C22×C4C2×#4114yes—
507C22×C4C2×#4112yes—
508C22×C4C2×#4112yes—
509C22×C4C2×#4112yes—
510C22×C4H(5,𝔽2)12yes—
511C22×C42−1+412yes—
512C22×C4C2511yescharacteristic
513M16—416no—
514C2×C8—28no—
515C2×C8—28no—
516C2×C8—28no—
517C2×C8—22no—
518C2×C8—22no—
519C2×C8—22no—
520C2×C8—22no—
521C2×C8—22no—
522C2×C8—22no—
523C2×C8—22no—
524C2×C8—22no—
525C2×C8—22no—
526C2×C8—416no—
527C2×C8—44no—
528C2×C8C22×D414yes—
529C2×C8C22×D414yes—
530C2×C8C2×#4114yes—
531C4⋊C4—28no—
532C4⋊C4—24no—
533C4⋊C4—22no—
534C4⋊C4—22no—
535C4⋊C4—22no—
536C4⋊C4—22no—
537C4⋊C4—22no—
538C4⋊C4—22no—
539C4⋊C4—22no—
540C4⋊C4—22no—
541C4⋊C4—22no—
542C4⋊C4—22no—
543C4⋊C4—22no—
544C4⋊C4—22no—
545C4⋊C4—22no—
546C4⋊C4—48no—
547C4⋊C4—42no—
548C4⋊C4—42no—
549C4⋊C4—42no—
550C4⋊C4—42no—
551C4⋊C4—42no—
552C4⋊C4—42no—
553C4⋊C4—84no—
554C4⋊C4—84no—
555C4⋊C4C2×#4114yes—
556C22⋊C4—28no—
557C22⋊C4—28no—
558C22⋊C4—48no—
559C22⋊C4—48no—
560C22⋊C4—48no—
561C22⋊C4—48no—
562C22⋊C4—48no—
563C22⋊C4—48no—
564C22⋊C4—84no—
565C22⋊C4—84no—
566C22⋊C4—84no—
567C22⋊C4—84no—
568C42—24no—
569C42—22no—
570C42—22no—
571C42—48no—
572C42—48no—
573C23—28no—
574C23—22no—
575C23—22no—
576C23—28no—
577C23—28no—
578C23—22no—
579C23—22no—
580C23—22no—
581C23—22no—
582C23—22no—
583C23—22no—
584C23—22no—
585C23—22no—
586C23—22no—
587C23—22no—
588C23—22no—
589C23—44no—
590C23—44no—
591C23—44no—
592C23—44no—
593C23—44no—
594C23—44no—
595C23—44no—
596C23—44no—
597C23—44no—
598C23—44no—
599C23—44no—
600C23—42no—
601C23—42no—
602C23—42no—
603C23—42no—
604C23—42no—
605C23—42no—
606C23—42no—
607C23—84no—
608C23—84no—
609C23—84no—
610C23—84no—
611C23—84no—
612C23—84no—
613C23—84no—
614C23C2×#12114yes—
615C23C2×#12112yes—
616C23#54612yes—
617C23#54712yes—
618C23#57512yes—
619C23#57512yes—
620C23#57612yes—
621C23#57712yes—
622C23C23×D411yescharacteristic
623D4—416no—
624D4—42no—
625D4—42no—
626D4—42no—
627D4—42no—
628D4—816no—
629D4—816no—
630D4—84no—
631C2×C4—28no—
632C2×C4—22no—
633C2×C4—22no—
634C2×C4—24no—
635C2×C4—216no—
636C2×C4—24no—
637C2×C4—24no—
638C2×C4—24no—
639C2×C4—22no—
640C2×C4—22no—
641C2×C4—22no—
642C2×C4—24no—
643C2×C4—22no—
644C2×C4—22no—
645C2×C4—22no—
646C2×C4—22no—
647C2×C4—22no—
648C2×C4—22no—
649C2×C4—44no—
650C2×C4—44no—
651C2×C4—44no—
652C2×C4—48no—
653C2×C4—42no—
654C2×C4—42no—
655C2×C4—42no—
656C2×C4—48no—
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—84no—
679C2×C4—84no—
680C2×C4—84no—
681C2×C4—84no—
682C2×C4—84no—
683C2×C4—84no—
684C2×C4C2×#12114yes—
685C2×C4C2×#12112yes—
686C2×C4#52914yes—
687C2×C4#53914yes—
688C2×C4#54612yes—
689C2×C4#54614yes—
690C2×C4#54712yes—
691C2×C4#54714yes—
692C2×C4C23×D411yescharacteristic
693C2×C4C22×#4111yescharacteristic
694C2×C4C22×#4111yescharacteristic
695C2×C4C22×#4111yescharacteristic
696C2×C4C2×H(5,𝔽2)11yescharacteristic
697C2×C4C2×2−1+411yescharacteristic
698C8—24no—
699C8—24no—
700C8—24no—
701C8—42no—
702C22—24no—
703C22—24no—
704C22—24no—
705C22—42no—
706C22—42no—
707C22—416no—
708C22—42no—
709C22—42no—
710C22—42no—
711C22—42no—
712C22—42no—
713C22—42no—
714C22—42no—
715C22—42no—
716C22—42no—
717C22—88no—
718C22—82no—
719C22—82no—
720C22—82no—
721C22—82no—
722C22—82no—
723C22—82no—
724C22—82no—
725C22—168no—
726C22#242514yes—
727C22#305414yes—
728C22#306214yes—
729C22#331714yes—
730C22#331914yes—
731C22#334714yes—
732C22#335014yes—
733C22C22×#12111yescharacteristic
734C22C2×#54611yescharacteristic
735C22C2×#54711yescharacteristic
736C22C2×#57511yescharacteristic
737C22C2×#57511yescharacteristic
738C22C2×#57611yescharacteristic
739C22C2×#57711yescharacteristic
740C4—24no—
741C4—42no—
742C4—42no—
743C4—42no—
744C4—44no—
745C4—82no—
746C4—82no—
747C4—82no—
748C4—82no—
749C4—82no—
750C4—82no—
751C4#242514yes—
752C4C2×#52911yescharacteristic
753C4C2×#53911yescharacteristic
754C4C2×#54611yescharacteristic
755C4C2×#54711yescharacteristic
756C2—44no—
757C2—82no—
758C2—162no—
759C2#2524918yesdirect product factor
760C2C2×#242511yescharacteristic
761C2C2×#305411yescharacteristic
762C2C2×#306211yescharacteristic
763C2C2×#331911yescharacteristic
764C2C2×#331711yescharacteristic
765C2C2×#334711yescharacteristic
766C2C2×#335011yescharacteristic
subgroupG/H
center, socleC24C22×D4
commutator, Frattini, cosocleC22×C4C25
prime radicalC2×#2414C2
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×#482C2semidirect
2. C22×#435C2semidirect
3. C2×#2485C2semidirect
5. #25249C2direct (N × H)
6. C2×#2086C2semidirect
7. C2×#2077C2semidirect
8. C2×#2065C2semidirect
9. C2×#2033C2semidirect
10. C2×#1943C2semidirect
11. C2×#1936C2semidirect
12. C2×#1895C2semidirect
13. C2×#1893C2semidirect
14. C2×#1854C2semidirect
15. C2×#1809C2semidirect
16. C2×#1735C2semidirect
25. C2×#482C22semidirect
27. C2×#435C22semidirect
41. #2485C22semidirect
60. #2086C22semidirect
61. #2077C22semidirect
62. #2065C22semidirect
63. #2033C22semidirect
64. #1943C22semidirect
65. #1936C22semidirect
66. #1895C22semidirect
67. #1893C22semidirect
68. #1854C22semidirect
69. #1809C22semidirect
70. #1735C22semidirect
164. C2×C22⋊C8D4semidirect
376. C22⋊C8C2×D4semidirect
759. C2#25249direct (N × H)

Maximal subgroups

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

subgroupindex
C22×#4822
C22×#4352
C2×#24852
C2×#24142
#252492
C2×#20862
C2×#20772
C2×#20652
C2×#20332
C2×#19432
C2×#19362
C2×#18952
C2×#18932
C2×#18542
C2×#18092
C2×#17352