Finite Group Databasebeta

← C2×#24491 #6451909

Subgroups — C2×#24491 #6451909

Order 512.

2962 conjugacy classes of subgroups.

The subgroup lattice has 782 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#483C211yesmaximal, characteristic, complemented
2C22×#417C211yesmaximal, characteristic
3C2×#2432C211yesmaximal, characteristic
4C2×#2345C211yesmaximal, characteristic, complemented
5#24491C2116yesmaximal, direct product factor
6C2×#2066C211yesmaximal, characteristic, complemented
7C2×#2065C211yesmaximal, characteristic, complemented
8C2×#2043C211yesmaximal, characteristic, complemented
9C2×#2042C211yesmaximal, characteristic, complemented
10C2×#1983C211yesmaximal, characteristic, complemented
11C2×#1981C211yesmaximal, characteristic, complemented
12C2×#1926C211yesmaximal, characteristic, complemented
13C2×#1927C211yesmaximal, characteristic, complemented
14C2×#1894C211yesmaximal, characteristic, complemented
15C2×#1851C211yesmaximal, characteristic, complemented
16C2×#1788C211yesmaximal, characteristic
17C23×#41C2211yescharacteristic
18C23×M16C2211yescharacteristic
19C22×C4⋊Q8C2211yescharacteristic
20C22×#124C2211yescharacteristic
21C22×C22⋊Q8C2211yescharacteristic
22C23×C4⋊C4C2211yescharacteristic
23C2×#483—28no—
24C2×#483C2218yescomplemented
25C22×#106C2211yescharacteristic
26C22×#106C2211yescharacteristic
27C22×C4⋊C8C2211yescharacteristic
28C22×C4⋊C8C2211yescharacteristic
29C2×#417—28no—
30C2×#417C2218yes—
31C22×#103C2211yescharacteristic
32C22×#103C2211yescharacteristic
33C22×#103C2211yescharacteristic
34C22×#103C2211yescharacteristic
35C22×#103C2211yescharacteristic
36C22×#103C2211yescharacteristic
37C22×#103C2211yescharacteristic
38C22×#103C2211yescharacteristic
39C22×#102C2211yescharacteristic
40C22×#102C2211yescharacteristic
41C22×#102C2211yescharacteristic
42C22×#102C2211yescharacteristic
43C22×C22⋊C8C2211yescharacteristic
44#2432—24no—
45#2432C2218yes—
46C2×#394—21no—
47C2×#394—21no—
48#2345—24no—
49#2345C2218yescomplemented
50C2×#391C2211yescharacteristic
51C2×#390C2211yescharacteristic
52C2×#389C2211yescharacteristic
53C2×#389C2211yescharacteristic
54C2×#387—21no—
55C2×#387—21no—
56C2×#385—21no—
57C2×#385—21no—
58C2×#380—21no—
59C2×#380C2211yescharacteristic
60C2×C4×C4⋊C4C2211yescharacteristic
61C2×C4×C4⋊C4C2211yescharacteristic
62C2×C4×C22⋊C4—21no—
63C2×C4×C22⋊C4C2211yescharacteristic
64#2066C2218yescomplemented
65#2065C2218yescomplemented
66#2043C2218yescomplemented
67#2042C2218yescomplemented
68#1983C2218yescomplemented
69#1981C2218yescomplemented
70#1927C2218yescomplemented
71#1926C2218yescomplemented
72#1894C2218yescomplemented
73#1851C2218yescomplemented
74#1788C2218yes—
75C2×#340C2211yescharacteristic
76C2×#340C2211yescharacteristic
77C2×#336C2211yescharacteristic
78C2×#336C2211yescharacteristic
79C22×#41—22no—
80C22×#41—24no—
81C22×#41—24no—
82C22×#41—24no—
83C22×#41—24no—
84C22×#41—42no—
85C22×#41—42no—
86C22×#41C2314yes—
87C23×Q8C2311yescharacteristic
88C23×Q8C2311yescharacteristic
89C23×D4—21no—
90C23×D4C2311yescharacteristic
91C24×C4—21no—
92C24×C4—21no—
93C24×C4C2311yescharacteristic
94C22×M16—24no—
95C22×M16—42no—
96C22×M16—42no—
97C22×M16C2314yes—
98C23×C8C2311yescharacteristic
99C23×C8C2311yescharacteristic
100C23×C8C2311yescharacteristic
101C23×C8C2311yescharacteristic
102C2×C4⋊Q8—24no—
103C2×C4⋊Q8—22no—
104C2×C4⋊Q8—42no—
105C2×C4⋊Q8C2314yes—
106C2×#124—24no—
107C2×#124—22no—
108C2×#124—42no—
109C2×#124C2314yes—
110C2×C22⋊Q8—22no—
111C2×C22⋊Q8—24no—
112C2×C22⋊Q8—24no—
113C2×C22⋊Q8C2314yes—
114C22×C4⋊C4—22no—
115C22×C4⋊C4—21no—
116C22×C4⋊C4—24no—
117C22×C4⋊C4—21no—
118C22×C4⋊C4—21no—
119C22×C4⋊C4—21no—
120C22×C4⋊C4—21no—
121C22×C4⋊C4—21no—
122C22×C4⋊C4D418yes—
123C22×C4⋊C4C2311yescharacteristic
124C22×C4⋊C4C2311yescharacteristic
125C22×C4⋊C4C2311yescharacteristic
126C22×C4⋊C4C2314yes—
127C22×C4⋊C4C2311yescharacteristic
128C22×C4⋊C4C2311yescharacteristic
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⋊C4D411yescharacteristic
136C22×C22⋊C4D411yescharacteristic
137C22×C42—21no—
138C22×C42—21no—
139C22×C42C2311yescharacteristic
140C22×C42C2311yescharacteristic
141#483—232no—
142C2×#106—24no—
143C2×#106—24no—
144C2×#106C2314yes—
145C2×#106C2314yes—
146C2×C4⋊C8—42no—
147C2×C4⋊C8—42no—
148C2×C4⋊C8C2314yes—
149C2×C4⋊C8C2314yes—
150#417—232no—
151C2×#103—24no—
152C2×#103—24no—
153C2×#103—24no—
154C2×#103—24no—
155C2×#103—24no—
156C2×#103—42no—
157C2×#103—42no—
158C2×#103—42no—
159C2×#103C2314yes—
160C2×#103C2314yes—
161C2×#103C2314yes—
162C2×#103C2314yes—
163C2×#103C2314yes—
164C2×#103C2314yes—
165C2×#103C2314yes—
166C2×#103C2314yes—
167C2×#102—24no—
168C2×#102—24no—
169C2×#102—24no—
170C2×#102—42no—
171C2×#102C2314yes—
172C2×#102C2314yes—
173C2×#102C2314yes—
174C2×#102C2314yes—
175C2×C22⋊C8—24no—
176C2×C22⋊C8C2314yes—
177#394—28no—
178#394—28no—
179#391—22no—
180#391C2314yes—
181#390—22no—
182#390C2314yes—
183#389—22no—
184#389—22no—
185#389C2314yes—
186#389C2314yes—
187#387—28no—
188#387—28no—
189#385—28no—
190#385—28no—
191#380—22no—
192#380—28no—
193#380C2314yes—
194C4×C4⋊C4—22no—
195C4×C4⋊C4—22no—
196C4×C4⋊C4C2314yes—
197C4×C4⋊C4C2314yes—
198C4×C22⋊C4—28no—
199C4×C22⋊C4D414yes—
200C4×C22⋊C4C2314yes—
201C2×#95—21no—
202C2×#95—21no—
203C2×#95—21no—
204C2×#95—21no—
205C2×#95—21no—
206C2×#95—21no—
207C2×#95—21no—
208C2×#95D411yescharacteristic
209C2×#95D411yescharacteristic
210#340C2314yes—
211#340C2314yes—
212#336C2314yes—
213#336C2314yes—
214C25—21no—
215C25C2×D411yescharacteristic
216C2×#41—232no—
217C2×#41—28no—
218C2×#41—28no—
219C2×#41—28no—
220C2×#41—28no—
221C2×#41—44no—
222C2×#41—44no—
223C2×#41—48no—
224C2×#41—416no—
225C2×#41—48no—
226C2×#41—416no—
227C2×#41—416no—
228C2×#41—48no—
229C22×Q8—21no—
230C22×Q8—21no—
231C22×Q8—22no—
232C22×Q8—22no—
233C22×Q8—22no—
234C22×Q8—22no—
235C22×Q8—22no—
236C22×Q8—22no—
237C22×Q8—22no—
238C22×Q8—22no—
239C22×Q8—22no—
240C22×Q8—22no—
241C22×Q8—22no—
242C22×Q8#4114yes—
243C22×Q8C2412yes—
244C22×Q8C2412yes—
245C22×D4—24no—
246C22×D4—22no—
247C22×D4—21no—
248C22×D4—22no—
249C22×D4—22no—
250C22×D4—22no—
251C22×D4—22no—
252C22×D4—44no—
253C22×D4—44no—
254C22×D4—44no—
255C22×D4#4114yes—
256C22×D4C2412yes—
257C23×C4—22no—
258C23×C4—22no—
259C23×C4—22no—
260C23×C4—22no—
261C23×C4—21no—
262C23×C4—21no—
263C23×C4—21no—
264C23×C4—28no—
265C23×C4—24no—
266C23×C4—21no—
267C23×C4—21no—
268C23×C4—21no—
269C23×C4—21no—
270C23×C4—24no—
271C23×C4—44no—
272C23×C4—44no—
273C23×C4—44no—
274C23×C4—82no—
275C23×C4—82no—
276C23×C4C2×D411yescharacteristic
277C23×C4C2×D411yescharacteristic
278C23×C4C2×D411yescharacteristic
279C23×C4C2×D412yes—
280C23×C4C2×D411yescharacteristic
281C23×C4C2×D414yes—
282C23×C4C2×D411yescharacteristic
283C23×C4#4114yes—
284C23×C4C2412yes—
285C23×C4C2411yescharacteristic
286C2×M16—28no—
287C2×M16—44no—
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×C8—22no—
302C22×C8C2412yes—
303C22×C8C2412yes—
304C22×C8C2412yes—
305C22×C8C2412yes—
306C4⋊Q8—28no—
307C4⋊Q8—44no—
308C4⋊Q8—48no—
309#124—28no—
310#124—44no—
311#124—48no—
312C22⋊Q8—28no—
313C22⋊Q8—28no—
314C22⋊Q8—48no—
315C2×C4⋊C4—28no—
316C2×C4⋊C4—216no—
317C2×C4⋊C4—21no—
318C2×C4⋊C4—24no—
319C2×C4⋊C4—21no—
320C2×C4⋊C4—22no—
321C2×C4⋊C4—22no—
322C2×C4⋊C4—28no—
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—24no—
330C2×C4⋊C4—24no—
331C2×C4⋊C4—24no—
332C2×C4⋊C4—21no—
333C2×C4⋊C4—21no—
334C2×C4⋊C4—21no—
335C2×C4⋊C4—24no—
336C2×C4⋊C4—24no—
337C2×C4⋊C4—44no—
338C2×C4⋊C4—44no—
339C2×C4⋊C4—44no—
340C2×C4⋊C4—82no—
341C2×C4⋊C4—82no—
342C2×C4⋊C4C2×D414yes—
343C2×C4⋊C4C2×D414yes—
344C2×C4⋊C4C2×D4116yes—
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—42no—
358C2×C22⋊C4—44no—
359C2×C22⋊C4—44no—
360C2×C22⋊C4—44no—
361C2×C22⋊C4—44no—
362C2×C22⋊C4—44no—
363C2×C22⋊C4—44no—
364C2×C22⋊C4C2×D414yes—
365C2×C22⋊C4C2×D414yes—
366C2×C42—22no—
367C2×C42—22no—
368C2×C42—22no—
369C2×C42—22no—
370C2×C42—24no—
371C2×C42—24no—
372C2×C42—82no—
373C2×C42—82no—
374C2×C42C2×D412yes—
375C2×C42C2×D412yes—
376C2×C42C2412yes—
377C2×C42C2412yes—
378#106—28no—
379#106—28no—
380C4⋊C8—44no—
381C4⋊C8—44no—
382#103—28no—
383#103—28no—
384#103—28no—
385#103—28no—
386#103—28no—
387#103—44no—
388#103—44no—
389#103—44no—
390#102—28no—
391#102—28no—
392#102—28no—
393#102—44no—
394C22⋊C8—28no—
395#95—24no—
396#95—24no—
397#95—24no—
398#95—24no—
399#95—24no—
400#95—24no—
401#95—24no—
402#95C2×D414yes—
403#95C2×D414yes—
404C24—22no—
405C24—22no—
406C24—22no—
407C24—22no—
408C24—22no—
409C24—22no—
410C24—24no—
411C24—22no—
412C24—42no—
413C24—42no—
414C24—42no—
415C24—42no—
416C24—42no—
417C24—42no—
418C24#12114yes—
419C24C22×D412yes—
420C24C22×D411yescharacteristic
421#41—232no—
422#41—416no—
423#41—416no—
424#41—464no—
425#41—416no—
426C2×Q8—24no—
427C2×Q8—22no—
428C2×Q8—28no—
429C2×Q8—28no—
430C2×Q8—22no—
431C2×Q8—22no—
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—42no—
441C2×Q8—42no—
442C2×Q8—44no—
443C2×Q8—42no—
444C2×Q8—42no—
445C2×Q8—42no—
446C2×Q8—44no—
447C2×Q8—44no—
448C2×Q8—44no—
449C2×Q8—44no—
450C2×Q8—44no—
451C2×Q8C2×#4114yes—
452C2×D4—28no—
453C2×D4—24no—
454C2×D4—28no—
455C2×D4—22no—
456C2×D4—22no—
457C2×D4—22no—
458C2×D4—22no—
459C2×D4—22no—
460C2×D4—48no—
461C2×D4—48no—
462C2×D4—432no—
463C2×D4—48no—
464C2×D4—42no—
465C2×D4—44no—
466C2×D4—42no—
467C2×D4—44no—
468C2×D4C2×#4114yes—
469C22×C4—22no—
470C22×C4—22no—
471C22×C4—22no—
472C22×C4—22no—
473C22×C4—28no—
474C22×C4—28no—
475C22×C4—24no—
476C22×C4—24no—
477C22×C4—28no—
478C22×C4—28no—
479C22×C4—22no—
480C22×C4—22no—
481C22×C4—22no—
482C22×C4—22no—
483C22×C4—24no—
484C22×C4—24no—
485C22×C4—22no—
486C22×C4—22no—
487C22×C4—22no—
488C22×C4—24no—
489C22×C4—22no—
490C22×C4—22no—
491C22×C4—22no—
492C22×C4—22no—
493C22×C4—22no—
494C22×C4—22no—
495C22×C4—22no—
496C22×C4—22no—
497C22×C4—22no—
498C22×C4—216no—
499C22×C4—22no—
500C22×C4—22no—
501C22×C4—22no—
502C22×C4—22no—
503C22×C4—48no—
504C22×C4—48no—
505C22×C4—432no—
506C22×C4—42no—
507C22×C4—42no—
508C22×C4—42no—
509C22×C4—42no—
510C22×C4—42no—
511C22×C4—42no—
512C22×C4—48no—
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—42no—
523C22×C4—42no—
524C22×C4—42no—
525C22×C4—816no—
526C22×C4—84no—
527C22×C4—84no—
528C22×C4#12114yes—
529C22×C4#12118yes—
530C22×C4#13714yes—
531C22×C4C22×D412yes—
532C22×C4C22×D412yes—
533C22×C4C22×D412yes—
534C22×C4C22×D412yes—
535C22×C4C22×D414yes—
536C22×C4C22×D412yes—
537C22×C4C22×D411yescharacteristic
538C22×C4C22×D412yes—
539C22×C4C2×#4114yes—
540C22×C4C2×#4112yes—
541C22×C4C2×#4112yes—
542C22×C4C2×#4112yes—
543C22×C4H(5,𝔽2)12yes—
544C22×C4H(5,𝔽2)12yes—
545C22×C4C2511yescharacteristic
546M16—416no—
547C2×C8—22no—
548C2×C8—22no—
549C2×C8—22no—
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—44no—
560C2×C8—44no—
561C2×C8—44no—
562C2×C8—44no—
563C4⋊C4—216no—
564C4⋊C4—24no—
565C4⋊C4—24no—
566C4⋊C4—22no—
567C4⋊C4—22no—
568C4⋊C4—22no—
569C4⋊C4—22no—
570C4⋊C4—22no—
571C4⋊C4—22no—
572C4⋊C4—22no—
573C4⋊C4—22no—
574C4⋊C4—48no—
575C4⋊C4—48no—
576C4⋊C4—42no—
577C4⋊C4—48no—
578C4⋊C4—42no—
579C4⋊C4—42no—
580C4⋊C4—84no—
581C4⋊C4—84no—
582C4⋊C4C22×D414yes—
583C4⋊C4C22×D414yes—
584C22⋊C4—28no—
585C22⋊C4—44no—
586C22⋊C4—48no—
587C22⋊C4—48no—
588C22⋊C4—48no—
589C22⋊C4—48no—
590C22⋊C4—48no—
591C22⋊C4—48no—
592C42—24no—
593C42—24no—
594C42—22no—
595C42—22no—
596C42—22no—
597C42—22no—
598C42—84no—
599C42—84no—
600C23—28no—
601C23—22no—
602C23—22no—
603C23—28no—
604C23—28no—
605C23—22no—
606C23—22no—
607C23—22no—
608C23—22no—
609C23—24no—
610C23—44no—
611C23—44no—
612C23—44no—
613C23—44no—
614C23—48no—
615C23—42no—
616C23—48no—
617C23—42no—
618C23—48no—
619C23—42no—
620C23—42no—
621C23—42no—
622C23—42no—
623C23—84no—
624C23—84no—
625C23—84no—
626C23—84no—
627C23C2×#12114yes—
628C23C2×#12112yes—
629C23#54612yes—
630C23#54612yes—
631C23C2×#13712yes—
632C23#57512yes—
633C23#57712yes—
634C23#57712yes—
635C23C23×D411yescharacteristic
636Q8—24no—
637Q8—24no—
638Q8—48no—
639Q8—42no—
640Q8—42no—
641Q8—42no—
642Q8—42no—
643Q8—42no—
644Q8—42no—
645Q8—84no—
646D4—24no—
647D4—24no—
648D4—432no—
649D4—48no—
650D4—42no—
651D4—42no—
652C2×C4—28no—
653C2×C4—22no—
654C2×C4—22no—
655C2×C4—22no—
656C2×C4—28no—
657C2×C4—22no—
658C2×C4—216no—
659C2×C4—24no—
660C2×C4—24no—
661C2×C4—24no—
662C2×C4—24no—
663C2×C4—24no—
664C2×C4—24no—
665C2×C4—22no—
666C2×C4—22no—
667C2×C4—22no—
668C2×C4—24no—
669C2×C4—22no—
670C2×C4—22no—
671C2×C4—22no—
672C2×C4—22no—
673C2×C4—22no—
674C2×C4—22no—
675C2×C4—432no—
676C2×C4—44no—
677C2×C4—42no—
678C2×C4—48no—
679C2×C4—42no—
680C2×C4—48no—
681C2×C4—48no—
682C2×C4—44no—
683C2×C4—44no—
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—42no—
693C2×C4—42no—
694C2×C4—42no—
695C2×C4—42no—
696C2×C4—42no—
697C2×C4—42no—
698C2×C4—42no—
699C2×C4—42no—
700C2×C4—816no—
701C2×C4—84no—
702C2×C4—84no—
703C2×C4—84no—
704C2×C4—84no—
705C2×C4C2×#12114yes—
706C2×C4C2×#12112yes—
707C2×C4#52514yes—
708C2×C4#53514yes—
709C2×C4#54612yes—
710C2×C4#54612yes—
711C2×C4#55114yes—
712C2×C4#55114yes—
713C2×C4C2×#13714yes—
714C2×C4C23×D411yescharacteristic
715C2×C4C22×#4111yescharacteristic
716C2×C4C22×#4111yescharacteristic
717C2×C4C22×#4111yescharacteristic
718C2×C4C2×H(5,𝔽2)11yescharacteristic
719C2×C4C2×H(5,𝔽2)11yescharacteristic
720C8—42no—
721C8—42no—
722C8—42no—
723C8—42no—
724C22—24no—
725C22—24no—
726C22—24no—
727C22—416no—
728C22—42no—
729C22—42no—
730C22—42no—
731C22—42no—
732C22—44no—
733C22—44no—
734C22—44no—
735C22—82no—
736C22—816no—
737C22—82no—
738C22—82no—
739C22—82no—
740C22#241114yes—
741C22#303714yes—
742C22#304214yes—
743C22#330714yes—
744C22#331614yes—
745C22#332614yes—
746C22#333114yes—
747C22C22×#12111yescharacteristic
748C22C2×#54611yescharacteristic
749C22C2×#54611yescharacteristic
750C22C22×#13711yescharacteristic
751C22C2×#57511yescharacteristic
752C22C2×#57711yescharacteristic
753C22C2×#57711yescharacteristic
754C4—24no—
755C4—24no—
756C4—44no—
757C4—44no—
758C4—44no—
759C4—42no—
760C4—42no—
761C4—42no—
762C4—82no—
763C4—82no—
764C4—82no—
765C4—82no—
766C4#241114yes—
767C4C2×#52511yescharacteristic
768C4C2×#53511yescharacteristic
769C4C2×#55111yescharacteristic
770C4C2×#55111yescharacteristic
771C2—44no—
772C2—84no—
773C2#2449118yesdirect product factor
774C2C2×#241111yescharacteristic
775C2C2×#303711yescharacteristic
776C2C2×#304211yescharacteristic
777C2C2×#331611yescharacteristic
778C2C2×#330711yescharacteristic
779C2C2×#332611yescharacteristic
780C2C2×#333111yescharacteristic
subgroupG/H
center, socleC24C22×D4
commutator, Frattini, cosocleC22×C4C25
prime radicalC23×#41C22
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C24 ◁ C2×C4×C22⋊C4 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
1. C22×#483C2semidirect
4. C2×#2345C2semidirect
5. #24491C2direct (N × H)
6. C2×#2066C2semidirect
7. C2×#2065C2semidirect
8. C2×#2043C2semidirect
9. C2×#2042C2semidirect
10. C2×#1983C2semidirect
11. C2×#1981C2semidirect
12. C2×#1926C2semidirect
13. C2×#1927C2semidirect
14. C2×#1894C2semidirect
15. C2×#1851C2semidirect
24. C2×#483C22semidirect
49. #2345C22semidirect
64. #2066C22semidirect
65. #2065C22semidirect
66. #2043C22semidirect
67. #2042C22semidirect
68. #1983C22semidirect
69. #1981C22semidirect
70. #1927C22semidirect
71. #1926C22semidirect
72. #1894C22semidirect
73. #1851C22semidirect
773. C2#24491direct (N × H)

Maximal subgroups

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

subgroupindex
C22×#4832
C22×#4172
C2×#24322
C2×#23452
#244912
C2×#20662
C2×#20652
C2×#20432
C2×#20422
C2×#19832
C2×#19812
C2×#19262
C2×#19272
C2×#18942
C2×#18512
C2×#17882