Finite Group Databasebeta

← C2×#24888 #6438296

Subgroups — C2×#24888 #6438296

Order 512.

2956 conjugacy classes of subgroups.

The subgroup lattice has 785 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#485C211yesmaximal, characteristic, complemented
2C22×#419C211yesmaximal, characteristic, complemented
3C2×#2409C211yesmaximal, characteristic
4C2×#2354C211yesmaximal, characteristic
5#24888C2116yesmaximal, direct product factor
6C2×#2095C211yesmaximal, characteristic, complemented
7C2×#2072C211yesmaximal, characteristic, complemented
8C2×#2036C211yesmaximal, characteristic, complemented
9C2×#2035C211yesmaximal, characteristic, complemented
10C2×#1927C211yesmaximal, characteristic, complemented
11C2×#1927C211yesmaximal, characteristic, complemented
12C2×#1873C211yesmaximal, characteristic, complemented
13C2×#1870C211yesmaximal, characteristic
14C2×#1854C211yesmaximal, characteristic, complemented
15C2×#1809C211yesmaximal, characteristic, complemented
16C2×#1787C211yesmaximal, characteristic, complemented
17C24×Q8C2211yescharacteristic
18C23×M16C2211yescharacteristic
19C22×C22⋊Q8C2211yescharacteristic
20C22×C22⋊Q8C2211yescharacteristic
21C22×C4×D4C2211yescharacteristic
22C22×#117C2211yescharacteristic
23C22×#117C2211yescharacteristic
24C2×#485—28no—
25C2×#485C2218yescomplemented
26C22×#107C2211yescharacteristic
27C22×#107C2211yescharacteristic
28C22×#106C2211yescharacteristic
29C22×#106C2211yescharacteristic
30C2×#419—28no—
31C2×#419C2218yescomplemented
32C22×#103C2211yescharacteristic
33C22×#103C2211yescharacteristic
34C22×#103C2211yescharacteristic
35C22×#103C2211yescharacteristic
36C22×#103C2211yescharacteristic
37C22×#103C2211yescharacteristic
38C22×#103C2211yescharacteristic
39C22×#103C2211yescharacteristic
40C22×C22⋊C8C2211yescharacteristic
41C22×C22⋊C8C2211yescharacteristic
42C22×C22⋊C8C2211yescharacteristic
43#2409—24no—
44#2409C2218yes—
45C2×#395—21no—
46C2×#393—21no—
47#2354—24no—
48#2354C2218yes—
49C2×#391C2211yescharacteristic
50C2×#391C2211yescharacteristic
51C2×#390—21no—
52C2×#388—21no—
53C2×#388—21no—
54C2×#386—21no—
55C2×#385—21no—
56C2×#384C2211yescharacteristic
57C2×#380C2211yescharacteristic
58C2×#380C2211yescharacteristic
59C2×#380C2211yescharacteristic
60C2×C4×C4⋊C4—21no—
61C2×C4×C4⋊C4C2211yescharacteristic
62#2095C2218yescomplemented
63#2072C2218yescomplemented
64#2036C2218yescomplemented
65#2035C2218yescomplemented
66#1927C2218yescomplemented
67#1927C2218yescomplemented
68#1873C2218yescomplemented
69#1870C2218yes—
70#1854C2218yescomplemented
71#1809C2218yescomplemented
72#1787C2218yescomplemented
73C2×#340C2211yescharacteristic
74C2×#340C2211yescharacteristic
75C2×#340C2211yescharacteristic
76C2×#340C2211yescharacteristic
77C2×#336C2211yescharacteristic
78C2×#336C2211yescharacteristic
79C23×Q8—21no—
80C23×Q8—22no—
81C23×Q8—24no—
82C23×Q8—24no—
83C23×Q8—24no—
84C23×Q8—24no—
85C23×Q8—42no—
86C23×Q8—42no—
87C23×Q8C2311yescharacteristic
88C23×Q8C2311yescharacteristic
89C23×Q8C2314yes—
90C23×D4D411yescharacteristic
91C24×C4—21no—
92C24×C4C2311yescharacteristic
93C24×C4C2311yescharacteristic
94C22×M16—24no—
95C22×M16—24no—
96C22×M16—42no—
97C22×M16C2314yes—
98C23×C8C2311yescharacteristic
99C23×C8C2311yescharacteristic
100C23×C8C2311yescharacteristic
101C23×C8C2311yescharacteristic
102C2×C22⋊Q8—22no—
103C2×C22⋊Q8—22no—
104C2×C22⋊Q8—24no—
105C2×C22⋊Q8—24no—
106C2×C22⋊Q8—42no—
107C2×C22⋊Q8—42no—
108C2×C22⋊Q8C2314yes—
109C2×C22⋊Q8C2314yes—
110C2×C4×D4—24no—
111C2×C4×D4—24no—
112C2×C4×D4D414yes—
113C2×C4×D4C2314yes—
114C2×#117—22no—
115C2×#117—22no—
116C2×#117—24no—
117C2×#117—24no—
118C2×#117—42no—
119C2×#117—42no—
120C2×#117C2314yes—
121C2×#117C2314yes—
122C22×C4⋊C4—21no—
123C22×C4⋊C4—21no—
124C22×C4⋊C4—21no—
125C22×C4⋊C4—21no—
126C22×C4⋊C4D411yescharacteristic
127C22×C4⋊C4C2311yescharacteristic
128C22×C4⋊C4C2311yescharacteristic
129C22×C4⋊C4C2311yescharacteristic
130C22×C4⋊C4C2311yescharacteristic
131C22×C4⋊C4C2311yescharacteristic
132C22×C4⋊C4C2311yescharacteristic
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⋊C4D411yescharacteristic
141C22×C22⋊C4D411yescharacteristic
142C22×C42—21no—
143C22×C42—21no—
144C22×C42—21no—
145C22×C42C2311yescharacteristic
146#485—232no—
147C2×#107—24no—
148C2×#107—42no—
149C2×#107C2314yes—
150C2×#107C2314yes—
151C2×#106—24no—
152C2×#106—42no—
153C2×#106C2314yes—
154C2×#106C2314yes—
155#419—232no—
156C2×#103—24no—
157C2×#103—24no—
158C2×#103—24no—
159C2×#103—24no—
160C2×#103—24no—
161C2×#103—42no—
162C2×#103—42no—
163C2×#103D418yescomplemented
164C2×#103C2314yes—
165C2×#103C2314yes—
166C2×#103C2314yes—
167C2×#103C2314yes—
168C2×#103C2314yes—
169C2×#103C2314yes—
170C2×#103C2314yes—
171C2×#103C2314yes—
172C2×C22⋊C8—24no—
173C2×C22⋊C8—24no—
174C2×C22⋊C8—42no—
175C2×C22⋊C8C2314yes—
176C2×C22⋊C8C2314yes—
177C2×C22⋊C8C2314yes—
178#395—28no—
179#393—28no—
180#391—22no—
181#391—22no—
182#391C2314yes—
183#391C2314yes—
184#390—28no—
185#388—28no—
186#388—28no—
187#386—28no—
188#385—28no—
189#384—22no—
190#384C2314yes—
191#380—22no—
192#380—22no—
193#380—22no—
194#380C2314yes—
195#380C2314yes—
196#380C2314yes—
197C4×C4⋊C4—28no—
198C4×C4⋊C4—22no—
199C4×C4⋊C4C2314yes—
200C2×#95—21no—
201C2×#95—21no—
202C2×#95—21no—
203C2×#95—21no—
204C2×#95—21no—
205C2×#95—21no—
206C2×#95—21no—
207C2×#95—21no—
208#340C2314yes—
209#340C2314yes—
210#340C2314yes—
211#340C2314yes—
212#336C2314yes—
213#336C2314yes—
214C25C2×D411yescharacteristic
215C25C2×D411yescharacteristic
216C22×Q8—21no—
217C22×Q8—21no—
218C22×Q8—24no—
219C22×Q8—22no—
220C22×Q8—22no—
221C22×Q8—232no—
222C22×Q8—28no—
223C22×Q8—28no—
224C22×Q8—22no—
225C22×Q8—28no—
226C22×Q8—22no—
227C22×Q8—22no—
228C22×Q8—22no—
229C22×Q8—22no—
230C22×Q8—22no—
231C22×Q8—28no—
232C22×Q8—22no—
233C22×Q8—22no—
234C22×Q8—44no—
235C22×Q8—44no—
236C22×Q8—44no—
237C22×Q8—44no—
238C22×Q8—48no—
239C22×Q8—416no—
240C22×Q8—48no—
241C22×Q8—416no—
242C22×Q8—416no—
243C22×Q8—44no—
244C22×Q8—48no—
245C22×Q8C2×D414yes—
246C22×Q8#4114yes—
247C22×Q8C2412yes—
248C22×Q8C2412yes—
249C22×D4—24no—
250C22×D4—24no—
251C22×D4—42no—
252C22×D4C2×D414yes—
253C23×C4—22no—
254C23×C4—22no—
255C23×C4—22no—
256C23×C4—22no—
257C23×C4—21no—
258C23×C4—21no—
259C23×C4—21no—
260C23×C4—22no—
261C23×C4—22no—
262C23×C4—22no—
263C23×C4—22no—
264C23×C4—22no—
265C23×C4—22no—
266C23×C4—24no—
267C23×C4—21no—
268C23×C4—21no—
269C23×C4—21no—
270C23×C4—21no—
271C23×C4—21no—
272C23×C4—44no—
273C23×C4—44no—
274C23×C4—44no—
275C23×C4C2×D412yes—
276C23×C4C2×D411yescharacteristic
277C23×C4C2×D411yescharacteristic
278C23×C4C2×D412yes—
279C23×C4C2×D411yescharacteristic
280C23×C4C2×D411yescharacteristic
281C23×C4#4114yes—
282C23×C4#4114yes—
283C23×C4C2412yes—
284C23×C4C2412yes—
285C23×C4C2411yescharacteristic
286C2×M16—28no—
287C2×M16—28no—
288C2×M16—44no—
289C2×M16—416no—
290C22×C8—22no—
291C22×C8—22no—
292C22×C8—22no—
293C22×C8—22no—
294C22×C8—22no—
295C22×C8—22no—
296C22×C8—22no—
297C22×C8—22no—
298C22×C8—22no—
299C22×C8—22no—
300C22×C8—22no—
301C22×C8C2×D414yes—
302C22×C8C2412yes—
303C22×C8C2412yes—
304C22×C8C2412yes—
305C22×C8C2412yes—
306C22⋊Q8—28no—
307C22⋊Q8—28no—
308C22⋊Q8—44no—
309C22⋊Q8—44no—
310C22⋊Q8—48no—
311C22⋊Q8—48no—
312C4×D4—216no—
313C4×D4—28no—
314C4×D4—28no—
315#117—28no—
316#117—28no—
317#117—44no—
318#117—44no—
319#117—48no—
320#117—48no—
321C2×C4⋊C4—24no—
322C2×C4⋊C4—21no—
323C2×C4⋊C4—22no—
324C2×C4⋊C4—22no—
325C2×C4⋊C4—22no—
326C2×C4⋊C4—22no—
327C2×C4⋊C4—22no—
328C2×C4⋊C4—22no—
329C2×C4⋊C4—22no—
330C2×C4⋊C4—22no—
331C2×C4⋊C4—22no—
332C2×C4⋊C4—22no—
333C2×C4⋊C4—22no—
334C2×C4⋊C4—24no—
335C2×C4⋊C4—24no—
336C2×C4⋊C4—24no—
337C2×C4⋊C4—21no—
338C2×C4⋊C4—21no—
339C2×C4⋊C4—21no—
340C2×C4⋊C4—21no—
341C2×C4⋊C4—21no—
342C2×C4⋊C4—24no—
343C2×C4⋊C4—44no—
344C2×C4⋊C4—44no—
345C2×C4⋊C4—44no—
346C2×C4⋊C4—82no—
347C2×C4⋊C4C2×D414yes—
348C2×C4⋊C4C2×D414yes—
349C2×C4⋊C4C2412yes—
350C2×C4⋊C4C2412yes—
351C2×C4⋊C4C2412yes—
352C2×C4⋊C4C2412yes—
353C2×C4⋊C4C2412yes—
354C2×C4⋊C4C2412yes—
355C2×C22⋊C4—24no—
356C2×C22⋊C4—24no—
357C2×C22⋊C4—24no—
358C2×C22⋊C4—24no—
359C2×C22⋊C4—24no—
360C2×C22⋊C4—24no—
361C2×C22⋊C4—24no—
362C2×C22⋊C4—24no—
363C2×C22⋊C4—24no—
364C2×C22⋊C4—44no—
365C2×C22⋊C4—44no—
366C2×C22⋊C4—44no—
367C2×C22⋊C4—44no—
368C2×C22⋊C4—44no—
369C2×C22⋊C4—82no—
370C2×C22⋊C4—82no—
371C2×C22⋊C4C2×D414yes—
372C2×C22⋊C4C2×D414yes—
373C2×C42—22no—
374C2×C42—22no—
375C2×C42—24no—
376C2×C42—24no—
377C2×C42—24no—
378C2×C42—44no—
379C2×C42—44no—
380C2×C42—44no—
381C2×C42C2×D412yes—
382C2×C42C2412yes—
383#107—28no—
384#107—44no—
385#106—28no—
386#106—44no—
387#103—28no—
388#103—28no—
389#103—28no—
390#103—28no—
391#103—28no—
392#103—44no—
393#103—44no—
394#103C2×D4116yescomplemented
395C22⋊C8—28no—
396C22⋊C8—28no—
397C22⋊C8—44no—
398#95—24no—
399#95—24no—
400#95—24no—
401#95—24no—
402#95—24no—
403#95—24no—
404#95—24no—
405#95—24no—
406C24—22no—
407C24—22no—
408C24—22no—
409C24—22no—
410C24—22no—
411C24—22no—
412C24—22no—
413C24—22no—
414C24—22no—
415C24—22no—
416C24—22no—
417C24—22no—
418C24—22no—
419C24#12314yes—
420C24C22×D412yes—
421C24C22×D412yes—
422C24C22×D411yescharacteristic
423C2×Q8—24no—
424C2×Q8—24no—
425C2×Q8—22no—
426C2×Q8—22no—
427C2×Q8—232no—
428C2×Q8—28no—
429C2×Q8—28no—
430C2×Q8—28no—
431C2×Q8—28no—
432C2×Q8—22no—
433C2×Q8—22no—
434C2×Q8—22no—
435C2×Q8—22no—
436C2×Q8—22no—
437C2×Q8—22no—
438C2×Q8—22no—
439C2×Q8—22no—
440C2×Q8—48no—
441C2×Q8—48no—
442C2×Q8—416no—
443C2×Q8—416no—
444C2×Q8—432no—
445C2×Q8—464no—
446C2×Q8—416no—
447C2×Q8—48no—
448C2×Q8—42no—
449C2×Q8—42no—
450C2×Q8—44no—
451C2×Q8—44no—
452C2×Q8—42no—
453C2×Q8—44no—
454C2×Q8—42no—
455C2×Q8—44no—
456C2×Q8C22×D414yes—
457C2×Q8C2×#4114yes—
458C2×D4—28no—
459C2×D4—28no—
460C2×D4—44no—
461C2×D4—416no—
462C22×C4—22no—
463C22×C4—22no—
464C22×C4—22no—
465C22×C4—22no—
466C22×C4—28no—
467C22×C4—28no—
468C22×C4—24no—
469C22×C4—28no—
470C22×C4—24no—
471C22×C4—28no—
472C22×C4—22no—
473C22×C4—22no—
474C22×C4—22no—
475C22×C4—22no—
476C22×C4—22no—
477C22×C4—22no—
478C22×C4—24no—
479C22×C4—22no—
480C22×C4—24no—
481C22×C4—24no—
482C22×C4—22no—
483C22×C4—22no—
484C22×C4—22no—
485C22×C4—22no—
486C22×C4—22no—
487C22×C4—22no—
488C22×C4—24no—
489C22×C4—24no—
490C22×C4—24no—
491C22×C4—22no—
492C22×C4—22no—
493C22×C4—22no—
494C22×C4—22no—
495C22×C4—22no—
496C22×C4—22no—
497C22×C4—22no—
498C22×C4—22no—
499C22×C4—22no—
500C22×C4—22no—
501C22×C4—22no—
502C22×C4—48no—
503C22×C4—48no—
504C22×C4—432no—
505C22×C4—48no—
506C22×C4—42no—
507C22×C4—42no—
508C22×C4—42no—
509C22×C4—42no—
510C22×C4—42no—
511C22×C4—42no—
512C22×C4—44no—
513C22×C4—44no—
514C22×C4—44no—
515C22×C4—44no—
516C22×C4—42no—
517C22×C4—42no—
518C22×C4—42no—
519C22×C4—42no—
520C22×C4—42no—
521C22×C4—42no—
522C22×C4—42no—
523C22×C4—42no—
524C22×C4—42no—
525C22×C4—42no—
526C22×C4—42no—
527C22×C4—42no—
528C22×C4—42no—
529C22×C4—42no—
530C22×C4—42no—
531C22×C4#12314yes—
532C22×C4#12318yes—
533C22×C4#13714yes—
534C22×C4C22×D412yes—
535C22×C4C22×D412yes—
536C22×C4C22×D412yes—
537C22×C4C22×D412yes—
538C22×C4C22×D411yescharacteristic
539C22×C4C22×D412yes—
540C22×C4C2×#4114yes—
541C22×C4C2×#4114yes—
542C22×C4C2×#4112yes—
543C22×C4C2×#4112yes—
544C22×C4C2×#4112yes—
545C22×C4H(5,𝔽2)12yes—
546C22×C4H(5,𝔽2)12yes—
547C22×C4C2511yescharacteristic
548M16—416no—
549C2×C8—28no—
550C2×C8—22no—
551C2×C8—22no—
552C2×C8—22no—
553C2×C8—22no—
554C2×C8—22no—
555C2×C8—22no—
556C2×C8—22no—
557C2×C8—22no—
558C2×C8—22no—
559C2×C8—22no—
560C2×C8—22no—
561C2×C8—44no—
562C2×C8—44no—
563C2×C8—44no—
564C2×C8C22×D414yes—
565C4⋊C4—28no—
566C4⋊C4—24no—
567C4⋊C4—22no—
568C4⋊C4—22no—
569C4⋊C4—22no—
570C4⋊C4—22no—
571C4⋊C4—22no—
572C4⋊C4—22no—
573C4⋊C4—22no—
574C4⋊C4—22no—
575C4⋊C4—22no—
576C4⋊C4—22no—
577C4⋊C4—22no—
578C4⋊C4—48no—
579C4⋊C4—48no—
580C4⋊C4—48no—
581C4⋊C4—42no—
582C4⋊C4—42no—
583C4⋊C4—42no—
584C4⋊C4—42no—
585C4⋊C4—42no—
586C4⋊C4—84no—
587C4⋊C4C22×D414yes—
588C22⋊C4—28no—
589C22⋊C4—28no—
590C22⋊C4—48no—
591C22⋊C4—48no—
592C22⋊C4—48no—
593C22⋊C4—48no—
594C22⋊C4—48no—
595C22⋊C4—84no—
596C22⋊C4—84no—
597C42—24no—
598C42—22no—
599C42—22no—
600C42—48no—
601C42—48no—
602C42—48no—
603C23—28no—
604C23—28no—
605C23—28no—
606C23—22no—
607C23—22no—
608C23—22no—
609C23—22no—
610C23—22no—
611C23—22no—
612C23—22no—
613C23—22no—
614C23—22no—
615C23—22no—
616C23—22no—
617C23—22no—
618C23—22no—
619C23—44no—
620C23—44no—
621C23—44no—
622C23—44no—
623C23—44no—
624C23—44no—
625C23—44no—
626C23—44no—
627C23—44no—
628C23—44no—
629C23—44no—
630C23C2×#12314yes—
631C23C2×#12312yes—
632C23D4212yes—
633C23#54612yes—
634C23C2×#13712yes—
635C23#57512yes—
636C23#57712yes—
637C23#57812yes—
638C23C23×D411yescharacteristic
639Q8—24no—
640Q8—24no—
641Q8—24no—
642Q8—24no—
643Q8—432no—
644Q8—48no—
645Q8—48no—
646Q8—42no—
647Q8—42no—
648Q8—42no—
649Q8—42no—
650D4—416no—
651C2×C4—28no—
652C2×C4—22no—
653C2×C4—28no—
654C2×C4—22no—
655C2×C4—22no—
656C2×C4—22no—
657C2×C4—24no—
658C2×C4—216no—
659C2×C4—24no—
660C2×C4—24no—
661C2×C4—24no—
662C2×C4—22no—
663C2×C4—22no—
664C2×C4—24no—
665C2×C4—22no—
666C2×C4—24no—
667C2×C4—24no—
668C2×C4—22no—
669C2×C4—22no—
670C2×C4—22no—
671C2×C4—432no—
672C2×C4—44no—
673C2×C4—42no—
674C2×C4—42no—
675C2×C4—44no—
676C2×C4—48no—
677C2×C4—48no—
678C2×C4—42no—
679C2×C4—42no—
680C2×C4—48no—
681C2×C4—42no—
682C2×C4—42no—
683C2×C4—42no—
684C2×C4—48no—
685C2×C4—42no—
686C2×C4—42no—
687C2×C4—42no—
688C2×C4—42no—
689C2×C4—42no—
690C2×C4—42no—
691C2×C4—42no—
692C2×C4—42no—
693C2×C4—42no—
694C2×C4—42no—
695C2×C4—42no—
696C2×C4—42no—
697C2×C4—42no—
698C2×C4—42no—
699C2×C4—42no—
700C2×C4—42no—
701C2×C4—42no—
702C2×C4—42no—
703C2×C4—84no—
704C2×C4—84no—
705C2×C4—84no—
706C2×C4—84no—
707C2×C4—84no—
708C2×C4C2×#12314yes—
709C2×C4C2×#12312yes—
710C2×C4#52514yes—
711C2×C4#53814yes—
712C2×C4D4212yes—
713C2×C4#54612yes—
714C2×C4#54614yes—
715C2×C4#55114yes—
716C2×C4C2×#13714yes—
717C2×C4C23×D411yescharacteristic
718C2×C4C22×#4111yescharacteristic
719C2×C4C22×#4111yescharacteristic
720C2×C4C22×#4111yescharacteristic
721C2×C4C2×H(5,𝔽2)11yescharacteristic
722C2×C4C2×H(5,𝔽2)11yescharacteristic
723C8—24no—
724C8—42no—
725C8—42no—
726C8—42no—
727C22—24no—
728C22—24no—
729C22—24no—
730C22—416no—
731C22—42no—
732C22—42no—
733C22—42no—
734C22—42no—
735C22—42no—
736C22—42no—
737C22—42no—
738C22—42no—
739C22—42no—
740C22—42no—
741C22—42no—
742C22—88no—
743C22#241814yes—
744C22#309514yes—
745C22#309714yes—
746C22#327114yes—
747C22#327614yes—
748C22#331314yes—
749C22#332914yes—
750C22C22×#12311yescharacteristic
751C22C2×D4211yescharacteristic
752C22C2×#54611yescharacteristic
753C22C22×#13711yescharacteristic
754C22C2×#57511yescharacteristic
755C22C2×#57711yescharacteristic
756C22C2×#57811yescharacteristic
757C4—24no—
758C4—24no—
759C4—42no—
760C4—44no—
761C4—44no—
762C4—42no—
763C4—44no—
764C4—82no—
765C4—82no—
766C4—82no—
767C4—82no—
768C4—82no—
769C4#241814yes—
770C4C2×#52511yescharacteristic
771C4C2×#53811yescharacteristic
772C4C2×#54611yescharacteristic
773C4C2×#55111yescharacteristic
774C2—44no—
775C2—82no—
776C2#2488818yesdirect product factor
777C2C2×#241811yescharacteristic
778C2C2×#309511yescharacteristic
779C2C2×#309711yescharacteristic
780C2C2×#327111yescharacteristic
781C2C2×#327611yescharacteristic
782C2C2×#331311yescharacteristic
783C2C2×#332911yescharacteristic
subgroupG/H
center, socleC24C22×D4
commutator, Frattini, cosocleC22×C4C25
prime radicalC23×D4D4
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×#485C2semidirect
2. C22×#419C2semidirect
5. #24888C2direct (N × H)
6. C2×#2095C2semidirect
7. C2×#2072C2semidirect
8. C2×#2036C2semidirect
9. C2×#2035C2semidirect
10. C2×#1927C2semidirect
11. C2×#1927C2semidirect
12. C2×#1873C2semidirect
14. C2×#1854C2semidirect
15. C2×#1809C2semidirect
16. C2×#1787C2semidirect
25. C2×#485C22semidirect
31. C2×#419C22semidirect
62. #2095C22semidirect
63. #2072C22semidirect
64. #2036C22semidirect
65. #2035C22semidirect
66. #1927C22semidirect
67. #1927C22semidirect
68. #1873C22semidirect
70. #1854C22semidirect
71. #1809C22semidirect
72. #1787C22semidirect
163. C2×#103D4semidirect
394. #103C2×D4semidirect
776. C2#24888direct (N × H)

Maximal subgroups

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

subgroupindex
C22×#4852
C22×#4192
C2×#24092
C2×#23542
#248882
C2×#20952
C2×#20722
C2×#20362
C2×#20352
C2×#19272
C2×#18732
C2×#18702
C2×#18542
C2×#18092
C2×#17872