Finite Group Databasebeta

← C2×#25232 #6441709

Subgroups — C2×#25232 #6441709

Order 512.

2960 conjugacy classes of subgroups.

The subgroup lattice has 784 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#480C211yesmaximal, characteristic, complemented
2C22×C8×D4C211yesmaximal, characteristic, complemented
3C2×#2486C211yesmaximal, characteristic, complemented
4C2×#2416C211yesmaximal, characteristic
5#25232C2116yesmaximal, direct product factor
6C2×#2086C211yesmaximal, characteristic, complemented
7C2×#2075C211yesmaximal, characteristic, complemented
8C2×#2067C211yesmaximal, characteristic, complemented
9C2×#2033C211yesmaximal, characteristic, complemented
10C2×#1942C211yesmaximal, characteristic, complemented
11C2×#1934C211yesmaximal, characteristic, complemented
12C2×#1893C211yesmaximal, characteristic, complemented
13C2×#1893C211yesmaximal, characteristic, complemented
14C2×#1852C211yesmaximal, characteristic, complemented
15C2×#1808C211yesmaximal, characteristic, complemented
16C22×#340C211yesmaximal, characteristic, complemented
17C24×C8C2211yescharacteristic
18C24×C8C2211yescharacteristic
19C22×#123—21no—
20C22×#121—21no—
21C22×#121C2211yescharacteristic
22C22×#121C2211yescharacteristic
23C22×C4×D4C2211yescharacteristic
24C23×C4⋊C4C2211yescharacteristic
25C23×C4⋊C4C2211yescharacteristic
26C2×#480—28no—
27C2×#480C2218yescomplemented
28C2×C8×D4—28no—
29C2×C8×D4C2218yescomplemented
30C22×#107C2211yescharacteristic
31C22×#107C2211yescharacteristic
32C22×#107C2211yescharacteristic
33C22×#107C2211yescharacteristic
34C22×C4⋊C8C2211yescharacteristic
35C22×#102C2211yescharacteristic
36C22×#102C2211yescharacteristic
37C22×#102C2211yescharacteristic
38C22×#102C2211yescharacteristic
39C22×C22⋊C8C2211yescharacteristic
40C22×C22⋊C8C2211yescharacteristic
41C22×C4×C8C2211yescharacteristic
42#2486—24no—
43#2486C2218yescomplemented
44#2416—24no—
45#2416C2218yes—
46C2×#398—21no—
47C2×#397—21no—
48C2×#396—21no—
49C2×#394—21no—
50C2×#390C2211yescharacteristic
51C2×#389C2211yescharacteristic
52C2×#389C2211yescharacteristic
53C2×#389C2211yescharacteristic
54C2×#386—21no—
55C2×#381—21no—
56C2×#380C2211yescharacteristic
57C2×#380C2211yescharacteristic
58C2×#380C2211yescharacteristic
59C2×#380C2211yescharacteristic
60#2086C2218yescomplemented
61#2075C2218yescomplemented
62#2067C2218yescomplemented
63#2033C2218yescomplemented
64#1942C2218yescomplemented
65#1934C2218yescomplemented
66#1893C2218yescomplemented
67#1893C2218yescomplemented
68#1852C2218yescomplemented
69#1808C2218yescomplemented
70C2×#340C2211yescharacteristic
71C2×#340C2211yescharacteristic
72C2×#340C2211yescharacteristic
73C2×#340C2211yescharacteristic
74C2×#340C2211yescharacteristic
75C2×#340C2211yescharacteristic
76C2×#340C2211yescharacteristic
77C2×#340C2211yescharacteristic
78C2×#340C2218yescomplemented
79C23×D4—21no—
80C23×D4—21no—
81C23×D4D411yescharacteristic
82C23×D4C2311yescharacteristic
83C24×C4—21no—
84C24×C4—21no—
85C24×C4C2311yescharacteristic
86C24×C4C2311yescharacteristic
87C23×C8—24no—
88C23×C8—24no—
89C23×C8—24no—
90C23×C8—24no—
91C23×C8—42no—
92C23×C8—42no—
93C23×C8C2311yescharacteristic
94C23×C8C2314yes—
95C23×C8C2314yes—
96C23×C8C2311yescharacteristic
97C23×C8C2311yescharacteristic
98C23×C8C2311yescharacteristic
99C2×#123—28no—
100C2×#123—48no—
101C2×#121—28no—
102C2×#121—22no—
103C2×#121—22no—
104C2×#121—24no—
105C2×#121—24no—
106C2×#121—24no—
107C2×#121—42no—
108C2×#121—48no—
109C2×#121C2314yes—
110C2×#121C2314yes—
111C2×C4×D4—24no—
112C2×C4×D4—24no—
113C2×C4×D4D414yes—
114C2×C4×D4C2314yes—
115C22×C4⋊C4—24no—
116C22×C4⋊C4—24no—
117C22×C4⋊C4—24no—
118C22×C4⋊C4—21no—
119C22×C4⋊C4—21no—
120C22×C4⋊C4—21no—
121C22×C4⋊C4—21no—
122C22×C4⋊C4—21no—
123C22×C4⋊C4—22no—
124C22×C4⋊C4—22no—
125C22×C4⋊C4—42no—
126C22×C4⋊C4D411yescharacteristic
127C22×C4⋊C4C2314yes—
128C22×C4⋊C4C2311yescharacteristic
129C22×C4⋊C4C2311yescharacteristic
130C22×C4⋊C4C2311yescharacteristic
131C22×C4⋊C4C2311yescharacteristic
132C22×C4⋊C4C2311yescharacteristic
133C22×C4⋊C4C2311yescharacteristic
134C22×C4⋊C4C2314yes—
135C22×C4⋊C4C2311yescharacteristic
136C22×C22⋊C4—21no—
137C22×C22⋊C4—21no—
138C22×C22⋊C4—21no—
139C22×C22⋊C4—21no—
140C22×C22⋊C4—21no—
141C22×C22⋊C4—21no—
142C22×C22⋊C4—21no—
143C22×C22⋊C4—21no—
144C22×C22⋊C4D411yescharacteristic
145C22×C22⋊C4D411yescharacteristic
146C22×C42C2311yescharacteristic
147#480—232no—
148C8×D4—232no—
149C2×#107—24no—
150C2×#107—24no—
151C2×#107—24no—
152C2×#107—42no—
153C2×#107C2314yes—
154C2×#107C2314yes—
155C2×#107C2314yes—
156C2×#107C2314yes—
157C2×C4⋊C8—24no—
158C2×C4⋊C8C2314yes—
159C2×#102—24no—
160C2×#102—24no—
161C2×#102—24no—
162C2×#102—42no—
163C2×#102C2314yes—
164C2×#102C2314yes—
165C2×#102C2314yes—
166C2×#102C2314yes—
167C2×C22⋊C8—24no—
168C2×C22⋊C8D418yescomplemented
169C2×C22⋊C8C2314yes—
170C2×C22⋊C8C2314yes—
171C2×C4×C8—24no—
172C2×C4×C8C2314yes—
173#398—28no—
174#397—28no—
175#396—28no—
176#394—28no—
177#390—22no—
178#390C2314yes—
179#389—22no—
180#389—22no—
181#389—22no—
182#389C2314yes—
183#389C2314yes—
184#389C2314yes—
185#386—28no—
186#381—28no—
187#380—22no—
188#380—22no—
189#380—22no—
190#380—22no—
191#380C2314yes—
192#380C2314yes—
193#380C2314yes—
194#380C2314yes—
195C2×#95—21no—
196C2×#95—21no—
197C2×#95—21no—
198C2×#95—21no—
199C2×#95—21no—
200C2×#95—21no—
201C2×#95—21no—
202#340C2314yes—
203#340C2314yes—
204#340C2314yes—
205#340C2314yes—
206#340C2314yes—
207#340C2314yes—
208#340C2314yes—
209#340C2314yes—
210C25—21no—
211C25C2×D411yescharacteristic
212C25C2×D411yescharacteristic
213C22×D4—24no—
214C22×D4—24no—
215C22×D4—24no—
216C22×D4—24no—
217C22×D4—22no—
218C22×D4—21no—
219C22×D4—22no—
220C22×D4—22no—
221C22×D4—22no—
222C22×D4—22no—
223C22×D4—22no—
224C22×D4—44no—
225C22×D4—44no—
226C22×D4—44no—
227C22×D4—44no—
228C22×D4—44no—
229C22×D4—82no—
230C22×D4D818yes—
231C22×D4C2×D414yes—
232C22×D4C2412yes—
233C23×C4—22no—
234C23×C4—22no—
235C23×C4—22no—
236C23×C4—22no—
237C23×C4—21no—
238C23×C4—22no—
239C23×C4—22no—
240C23×C4—22no—
241C23×C4—22no—
242C23×C4—22no—
243C23×C4—22no—
244C23×C4—24no—
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×C4—44no—
256C23×C4—44no—
257C23×C4—82no—
258C23×C4C2×D412yes—
259C23×C4C2×D411yescharacteristic
260C23×C4C2×D411yescharacteristic
261C23×C4C2×D412yes—
262C23×C4C2×D411yescharacteristic
263C23×C4C2×D414yes—
264C23×C4C2×D411yescharacteristic
265C23×C4#4114yes—
266C23×C4C2412yes—
267C23×C4C2412yes—
268C23×C4C2411yescharacteristic
269C22×C8—22no—
270C22×C8—22no—
271C22×C8—22no—
272C22×C8—22no—
273C22×C8—22no—
274C22×C8—22no—
275C22×C8—22no—
276C22×C8—28no—
277C22×C8—22no—
278C22×C8—22no—
279C22×C8—28no—
280C22×C8—28no—
281C22×C8—28no—
282C22×C8—44no—
283C22×C8—44no—
284C22×C8—416no—
285C22×C8—416no—
286C22×C8C2×D414yes—
287C22×C8C2×D414yes—
288C22×C8#4114yes—
289C22×C8C2412yes—
290C22×C8C2412yes—
291C22×C8C2412yes—
292C22×C8C2412yes—
293#123—432no—
294#121—28no—
295#121—28no—
296#121—28no—
297#121—44no—
298#121—48no—
299#121—432no—
300#121—48no—
301C4×D4—216no—
302C4×D4—28no—
303C4×D4—28no—
304C2×C4⋊C4—24no—
305C2×C4⋊C4—21no—
306C2×C4⋊C4—22no—
307C2×C4⋊C4—22no—
308C2×C4⋊C4—22no—
309C2×C4⋊C4—28no—
310C2×C4⋊C4—22no—
311C2×C4⋊C4—28no—
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—28no—
322C2×C4⋊C4—21no—
323C2×C4⋊C4—21no—
324C2×C4⋊C4—21no—
325C2×C4⋊C4—24no—
326C2×C4⋊C4—24no—
327C2×C4⋊C4—24no—
328C2×C4⋊C4—24no—
329C2×C4⋊C4—24no—
330C2×C4⋊C4—21no—
331C2×C4⋊C4—21no—
332C2×C4⋊C4—21no—
333C2×C4⋊C4—44no—
334C2×C4⋊C4—48no—
335C2×C4⋊C4—44no—
336C2×C4⋊C4—44no—
337C2×C4⋊C4—48no—
338C2×C4⋊C4—44no—
339C2×C4⋊C4—44no—
340C2×C4⋊C4—44no—
341C2×C4⋊C4C2×D414yes—
342C2×C4⋊C4#4114yes—
343C2×C4⋊C4C2412yes—
344C2×C4⋊C4C2412yes—
345C2×C4⋊C4C2412yes—
346C2×C4⋊C4C2412yes—
347C2×C4⋊C4C2412yes—
348C2×C4⋊C4C2412yes—
349C2×C4⋊C4C2412yes—
350C2×C22⋊C4—24no—
351C2×C22⋊C4—24no—
352C2×C22⋊C4—24no—
353C2×C22⋊C4—24no—
354C2×C22⋊C4—24no—
355C2×C22⋊C4—24no—
356C2×C22⋊C4—24no—
357C2×C22⋊C4—24no—
358C2×C22⋊C4—24no—
359C2×C22⋊C4—24no—
360C2×C22⋊C4—44no—
361C2×C22⋊C4—44no—
362C2×C22⋊C4—44no—
363C2×C22⋊C4—44no—
364C2×C22⋊C4—44no—
365C2×C22⋊C4—44no—
366C2×C22⋊C4—44no—
367C2×C22⋊C4—82no—
368C2×C22⋊C4C2×D414yes—
369C2×C22⋊C4C2×D414yes—
370C2×C42—22no—
371C2×C42—22no—
372C2×C42C2×D412yes—
373C2×C42C2412yes—
374#107—28no—
375#107—28no—
376#107—28no—
377#107—44no—
378C4⋊C8—28no—
379#102—28no—
380#102—28no—
381#102—28no—
382#102—44no—
383C22⋊C8—28no—
384C22⋊C8C2×D4116yescomplemented
385C4×C8—28no—
386#95—24no—
387#95—24no—
388#95—24no—
389#95—24no—
390#95—24no—
391#95—24no—
392#95—24no—
393C24—22no—
394C24—22no—
395C24—22no—
396C24—22no—
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—
410C24—42no—
411C24#12114yes—
412C24C2×D814yes—
413C24C2×D814yes—
414C24#13514yes—
415C24C22×D412yes—
416C24C22×D412yes—
417C24C22×D411yescharacteristic
418C2×D4—28no—
419C2×D4—28no—
420C2×D4—232no—
421C2×D4—22no—
422C2×D4—22no—
423C2×D4—22no—
424C2×D4—22no—
425C2×D4—22no—
426C2×D4—22no—
427C2×D4—48no—
428C2×D4—48no—
429C2×D4—48no—
430C2×D4—48no—
431C2×D4—48no—
432C2×D4—42no—
433C2×D4—44no—
434C2×D4—44no—
435C2×D4—44no—
436C2×D4—42no—
437C2×D4—44no—
438C2×D4—42no—
439C2×D4—84no—
440C2×D4—816no—
441C2×D4—816no—
442C2×D4C2×D8116yes—
443C22×C4—22no—
444C22×C4—22no—
445C22×C4—22no—
446C22×C4—22no—
447C22×C4—28no—
448C22×C4—28no—
449C22×C4—24no—
450C22×C4—28no—
451C22×C4—28no—
452C22×C4—24no—
453C22×C4—22no—
454C22×C4—22no—
455C22×C4—22no—
456C22×C4—22no—
457C22×C4—22no—
458C22×C4—22no—
459C22×C4—22no—
460C22×C4—24no—
461C22×C4—22no—
462C22×C4—22no—
463C22×C4—22no—
464C22×C4—22no—
465C22×C4—24no—
466C22×C4—24no—
467C22×C4—24no—
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—22no—
477C22×C4—22no—
478C22×C4—22no—
479C22×C4—22no—
480C22×C4—48no—
481C22×C4—42no—
482C22×C4—42no—
483C22×C4—44no—
484C22×C4—44no—
485C22×C4—44no—
486C22×C4—44no—
487C22×C4—42no—
488C22×C4—48no—
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—48no—
501C22×C4—48no—
502C22×C4—48no—
503C22×C4—42no—
504C22×C4—42no—
505C22×C4—42no—
506C22×C4—42no—
507C22×C4—42no—
508C22×C4—42no—
509C22×C4—84no—
510C22×C4—816no—
511C22×C4—816no—
512C22×C4#12114yes—
513C22×C4#12118yes—
514C22×C4C2×D814yes—
515C22×C4C22×D412yes—
516C22×C4C22×D412yes—
517C22×C4C22×D412yes—
518C22×C4C22×D414yes—
519C22×C4C22×D412yes—
520C22×C4C22×D411yescharacteristic
521C22×C4C22×D412yes—
522C22×C4C2×#4114yes—
523C22×C4C2×#4112yes—
524C22×C4C2×#4112yes—
525C22×C4C2×#4112yes—
526C22×C4H(5,𝔽2)12yes—
527C22×C42−1+412yes—
528C22×C4C2511yescharacteristic
529C2×C8—28no—
530C2×C8—28no—
531C2×C8—28no—
532C2×C8—22no—
533C2×C8—22no—
534C2×C8—22no—
535C2×C8—22no—
536C2×C8—22no—
537C2×C8—22no—
538C2×C8—22no—
539C2×C8—22no—
540C2×C8—22no—
541C2×C8—416no—
542C2×C8—416no—
543C2×C8—44no—
544C2×C8C22×D414yes—
545C2×C8C22×D414yes—
546C2×C8C2×#4114yes—
547C4⋊C4—28no—
548C4⋊C4—24no—
549C4⋊C4—22no—
550C4⋊C4—22no—
551C4⋊C4—22no—
552C4⋊C4—22no—
553C4⋊C4—22no—
554C4⋊C4—22no—
555C4⋊C4—22no—
556C4⋊C4—22no—
557C4⋊C4—22no—
558C4⋊C4—22no—
559C4⋊C4—22no—
560C4⋊C4—22no—
561C4⋊C4—22no—
562C4⋊C4—48no—
563C4⋊C4—48no—
564C4⋊C4—42no—
565C4⋊C4—42no—
566C4⋊C4—42no—
567C4⋊C4—42no—
568C4⋊C4—42no—
569C4⋊C4—42no—
570C4⋊C4—48no—
571C4⋊C4—48no—
572C4⋊C4—48no—
573C4⋊C4C2×#4114yes—
574C22⋊C4—28no—
575C22⋊C4—28no—
576C22⋊C4—48no—
577C22⋊C4—48no—
578C22⋊C4—48no—
579C22⋊C4—48no—
580C22⋊C4—48no—
581C22⋊C4—48no—
582C22⋊C4—48no—
583C22⋊C4—84no—
584C42—24no—
585C42—22no—
586C42—22no—
587C23—28no—
588C23—28no—
589C23—28no—
590C23—22no—
591C23—22no—
592C23—28no—
593C23—28no—
594C23—28no—
595C23—22no—
596C23—22no—
597C23—28no—
598C23—22no—
599C23—22no—
600C23—22no—
601C23—28no—
602C23—28no—
603C23—22no—
604C23—22no—
605C23—22no—
606C23—44no—
607C23—44no—
608C23—44no—
609C23—44no—
610C23—42no—
611C23—42no—
612C23—42no—
613C23—42no—
614C23—42no—
615C23—42no—
616C23—42no—
617C23—84no—
618C23—84no—
619C23—84no—
620C23—84no—
621C23—84no—
622C23—84no—
623C23—84no—
624C23#466116yes—
625C23C2×#12114yes—
626C23C2×#12112yes—
627C23#54612yes—
628C23#54712yes—
629C23C22×D814yes—
630C23C22×D814yes—
631C23C22×D812yes—
632C23C2×#13514yes—
633C23C2×#13512yes—
634C23#57712yes—
635C23#57812yes—
636C23C23×D411yescharacteristic
637D4—232no—
638D4—42no—
639D4—42no—
640D4—42no—
641D4—42no—
642D4—816no—
643D4—816no—
644D4—84no—
645C2×C4—22no—
646C2×C4—28no—
647C2×C4—22no—
648C2×C4—22no—
649C2×C4—28no—
650C2×C4—22no—
651C2×C4—24no—
652C2×C4—216no—
653C2×C4—24no—
654C2×C4—24no—
655C2×C4—24no—
656C2×C4—22no—
657C2×C4—22no—
658C2×C4—22no—
659C2×C4—24no—
660C2×C4—22no—
661C2×C4—22no—
662C2×C4—22no—
663C2×C4—44no—
664C2×C4—48no—
665C2×C4—42no—
666C2×C4—44no—
667C2×C4—42no—
668C2×C4—42no—
669C2×C4—48no—
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—42no—
684C2×C4—42no—
685C2×C4—42no—
686C2×C4—42no—
687C2×C4—42no—
688C2×C4—42no—
689C2×C4—42no—
690C2×C4—42no—
691C2×C4—816no—
692C2×C4—84no—
693C2×C4—84no—
694C2×C4—84no—
695C2×C4—816no—
696C2×C4—84no—
697C2×C4—84no—
698C2×C4—84no—
699C2×C4C2×#12114yes—
700C2×C4C2×#12112yes—
701C2×C4#52914yes—
702C2×C4#53914yes—
703C2×C4#54612yes—
704C2×C4#54614yes—
705C2×C4#54712yes—
706C2×C4#54714yes—
707C2×C4C22×D814yes—
708C2×C4C23×D411yescharacteristic
709C2×C4C22×#4111yescharacteristic
710C2×C4C22×#4111yescharacteristic
711C2×C4C22×#4111yescharacteristic
712C2×C4C2×H(5,𝔽2)11yescharacteristic
713C2×C4C2×2−1+411yescharacteristic
714C8—24no—
715C8—24no—
716C8—24no—
717C8—42no—
718C22—24no—
719C22—24no—
720C22—24no—
721C22—24no—
722C22—232no—
723C22—24no—
724C22—24no—
725C22—24no—
726C22—24no—
727C22—24no—
728C22—42no—
729C22—42no—
730C22—42no—
731C22—416no—
732C22—42no—
733C22—82no—
734C22—82no—
735C22—82no—
736C22—82no—
737C22—82no—
738C22—82no—
739C22—82no—
740C22—168no—
741C22#242514yes—
742C22C2×#46618yes—
743C22C2×#46614yes—
744C22#306314yes—
745C22#329414yes—
746C22#330014yes—
747C22#333414yes—
748C22#333714yes—
749C22C22×#12111yescharacteristic
750C22C2×#54611yescharacteristic
751C22C2×#54711yescharacteristic
752C22C23×D811yescharacteristic
753C22C22×#13511yescharacteristic
754C22C2×#57711yescharacteristic
755C22C2×#57811yescharacteristic
756C4—24no—
757C4—24no—
758C4—42no—
759C4—42no—
760C4—44no—
761C4—82no—
762C4—82no—
763C4—82no—
764C4—82no—
765C4—82no—
766C4—82no—
767C4#242514yes—
768C4C2×#52911yescharacteristic
769C4C2×#53911yescharacteristic
770C4C2×#54611yescharacteristic
771C4C2×#54711yescharacteristic
772C2—28no—
773C2—44no—
774C2—162no—
775C2#2523218yesdirect product factor
776C2C2×#242511yescharacteristic
777C2C22×#46611yescharacteristic
778C2C2×#306311yescharacteristic
779C2C2×#329411yescharacteristic
780C2C2×#330011yescharacteristic
781C2C2×#333411yescharacteristic
782C2C2×#333711yescharacteristic
subgroupG/H
center, socleC24C22×D4
commutator, Frattini, cosocleC22×C4C25
prime radicalC2×#2416C2
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×#480C2semidirect
2. C22×C8×D4C2semidirect
3. C2×#2486C2semidirect
5. #25232C2direct (N × H)
6. C2×#2086C2semidirect
7. C2×#2075C2semidirect
8. C2×#2067C2semidirect
9. C2×#2033C2semidirect
10. C2×#1942C2semidirect
11. C2×#1934C2semidirect
12. C2×#1893C2semidirect
13. C2×#1893C2semidirect
14. C2×#1852C2semidirect
15. C2×#1808C2semidirect
16. C22×#340C2semidirect
27. C2×#480C22semidirect
29. C2×C8×D4C22semidirect
43. #2486C22semidirect
60. #2086C22semidirect
61. #2075C22semidirect
62. #2067C22semidirect
63. #2033C22semidirect
64. #1942C22semidirect
65. #1934C22semidirect
66. #1893C22semidirect
67. #1893C22semidirect
68. #1852C22semidirect
69. #1808C22semidirect
78. C2×#340C22semidirect
168. C2×C22⋊C8D4semidirect
384. C22⋊C8C2×D4semidirect
775. C2#25232direct (N × H)

Maximal subgroups

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

subgroupindex
C22×#4802
C22×C8×D42
C2×#24862
C2×#24162
#252322
C2×#20862
C2×#20752
C2×#20672
C2×#20332
C2×#19422
C2×#19342
C2×#18932
C2×#18522
C2×#18082
C22×#3402