Finite Group Databasebeta

← C2×#24068 #6452885

Subgroups — C2×#24068 #6452885

Order 512.

3570 conjugacy classes of subgroups.

The subgroup lattice has 779 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#529C211yesmaximal, characteristic
2C22×#485C211yesmaximal, characteristic, complemented
3C22×#482C211yesmaximal, characteristic
4C2×#2296C211yesmaximal, characteristic, complemented
5#24068C2116yesmaximal, direct product factor
6C2×#2059C211yesmaximal, characteristic, complemented
7C2×#2059C211yesmaximal, characteristic, complemented
8C2×#2042C211yesmaximal, characteristic, complemented
9C2×#2042C211yesmaximal, characteristic, complemented
10C2×#1875C211yesmaximal, characteristic
11C2×#1873C211yesmaximal, characteristic, complemented
12C2×#1865C211yesmaximal, characteristic, complemented
13C2×#1863C211yesmaximal, characteristic, complemented
14C2×#1864C211yesmaximal, characteristic, complemented
15C2×#1862C211yesmaximal, characteristic, complemented
16C2×#1817C211yesmaximal, characteristic, complemented
17C2×#529—24no—
18C2×#529—28no—
19C2×#529—28no—
20C2×#529C2218yes—
21C22×#126—21no—
22C22×#125C2211yescharacteristic
23C22×#124C2211yescharacteristic
24C22×#123—21no—
25C22×C22⋊Q8C2211yescharacteristic
26C22×#121C2211yescharacteristic
27C22×C4×Q8C2211yescharacteristic
28C22×C4×D4—21no—
29C22×C4×D4C2211yescharacteristic
30C22×#117—21no—
31C22×#117C2211yescharacteristic
32C22×#117C2211yescharacteristic
33C23×C42C2211yescharacteristic
34C2×#485—28no—
35C2×#485C2218yescomplemented
36C2×#482—28no—
37C2×#482C2218yes—
38C22×#107C2211yescharacteristic
39C22×#107C2211yescharacteristic
40C22×#106C2211yescharacteristic
41C22×#106C2211yescharacteristic
42C22×#103C2211yescharacteristic
43C22×#103C2211yescharacteristic
44C22×#103C2211yescharacteristic
45C22×#103C2211yescharacteristic
46C22×#102C2211yescharacteristic
47C22×#102C2211yescharacteristic
48C22×#102C2211yescharacteristic
49C22×#102C2211yescharacteristic
50C22×C22⋊C8C2211yescharacteristic
51C22×C22⋊C8C2211yescharacteristic
52#2296—24no—
53#2296C2218yescomplemented
54C2×#389C2211yescharacteristic
55C2×#389C2211yescharacteristic
56C2×#389C2211yescharacteristic
57C2×#389C2211yescharacteristic
58C2×#385—21no—
59C2×#385—21no—
60C2×C4×C4⋊C4—21no—
61C2×C4×C4⋊C4—21no—
62#2059C2218yescomplemented
63#2059C2218yescomplemented
64#2042C2218yescomplemented
65#2042C2218yescomplemented
66#1875C2218yes—
67#1873C2218yescomplemented
68#1865C2218yescomplemented
69#1864C2218yescomplemented
70#1863C2218yescomplemented
71#1862C2218yescomplemented
72#1817C2218yescomplemented
73C2×#340C2211yescharacteristic
74C2×#340C2211yescharacteristic
75C2×#340C2211yescharacteristic
76C2×#340C2211yescharacteristic
77C2×#336C2211yescharacteristic
78C2×#336C2211yescharacteristic
79C2×#336C2211yescharacteristic
80C2×#336C2211yescharacteristic
81C23×Q8C2311yescharacteristic
82C23×D4—21no—
83C23×D4C2311yescharacteristic
84C24×C4—21no—
85C24×C4D411yescharacteristic
86C24×C4D411yescharacteristic
87C24×C4C2311yescharacteristic
88C23×C8C2311yescharacteristic
89C23×C8C2311yescharacteristic
90C23×C8C2311yescharacteristic
91C23×C8C2311yescharacteristic
92#529—264no—
93#529—232no—
94#529—232no—
95C2×#126—216no—
96C2×#126—28no—
97C2×#125—24no—
98C2×#125—24no—
99C2×#125—22no—
100C2×#125C2314yes—
101C2×#124—24no—
102C2×#124—24no—
103C2×#124—22no—
104C2×#124C2314yes—
105C2×#123—216no—
106C2×#123—28no—
107C2×C22⋊Q8—24no—
108C2×C22⋊Q8—22no—
109C2×C22⋊Q8D418yes—
110C2×C22⋊Q8C2314yes—
111C2×#121—24no—
112C2×#121—22no—
113C2×#121D418yes—
114C2×#121C2314yes—
115C2×C4×Q8—24no—
116C2×C4×Q8—24no—
117C2×C4×Q8—22no—
118C2×C4×Q8C2314yes—
119C2×C4×D4—216no—
120C2×C4×D4—24no—
121C2×C4×D4—28no—
122C2×C4×D4—24no—
123C2×C4×D4—22no—
124C2×C4×D4C2314yes—
125C2×#117—216no—
126C2×#117—22no—
127C2×#117—22no—
128C2×#117—24no—
129C2×#117—24no—
130C2×#117—28no—
131C2×#117—24no—
132C2×#117—24no—
133C2×#117C2314yes—
134C2×#117C2314yes—
135C22×C4⋊C4—21no—
136C22×C4⋊C4—21no—
137C22×C4⋊C4—21no—
138C22×C4⋊C4—21no—
139C22×C4⋊C4—21no—
140C22×C4⋊C4—21no—
141C22×C4⋊C4—21no—
142C22×C4⋊C4—21no—
143C22×C4⋊C4C2311yescharacteristic
144C22×C4⋊C4C2311yescharacteristic
145C22×C4⋊C4C2311yescharacteristic
146C22×C4⋊C4C2311yescharacteristic
147C22×C4⋊C4C2311yescharacteristic
148C22×C4⋊C4C2311yescharacteristic
149C22×C22⋊C4—21no—
150C22×C22⋊C4—21no—
151C22×C22⋊C4—21no—
152C22×C22⋊C4—21no—
153C22×C22⋊C4—21no—
154C22×C22⋊C4—21no—
155C22×C22⋊C4—21no—
156C22×C42—24no—
157C22×C42—24no—
158C22×C42—21no—
159C22×C42—21no—
160C22×C42—21no—
161C22×C42D411yescharacteristic
162C22×C42D411yescharacteristic
163C22×C42D414yes—
164C22×C42C2314yes—
165C22×C42C2311yescharacteristic
166C22×C42C2311yescharacteristic
167#485—232no—
168#482—232no—
169C2×#107—24no—
170C2×#107—24no—
171C2×#107C2314yes—
172C2×#107C2314yes—
173C2×#106—24no—
174C2×#106—24no—
175C2×#106C2314yes—
176C2×#106C2314yes—
177C2×#103—24no—
178C2×#103—24no—
179C2×#103—24no—
180C2×#103—24no—
181C2×#103C2314yes—
182C2×#103C2314yes—
183C2×#103C2314yes—
184C2×#103C2314yes—
185C2×#102—24no—
186C2×#102—24no—
187C2×#102—24no—
188C2×#102—24no—
189C2×#102C2314yes—
190C2×#102C2314yes—
191C2×#102C2314yes—
192C2×#102C2314yes—
193C2×C22⋊C8—24no—
194C2×C22⋊C8—24no—
195C2×C22⋊C8C2314yes—
196C2×C22⋊C8C2314yes—
197#389—22no—
198#389—22no—
199#389—22no—
200#389—22no—
201#389C2314yes—
202#389C2314yes—
203#389C2314yes—
204#389C2314yes—
205#385—28no—
206#385—28no—
207C4×C4⋊C4—28no—
208C4×C4⋊C4—28no—
209C2×#95—21no—
210C2×#95—21no—
211C2×#95—21no—
212C2×#95—21no—
213#340C2314yes—
214#340C2314yes—
215#340C2314yes—
216#340C2314yes—
217#336C2314yes—
218#336C2314yes—
219#336C2314yes—
220#336C2314yes—
221C25—21no—
222C25C2×D411yescharacteristic
223C22×Q8—22no—
224C22×Q8—21no—
225C22×Q8—22no—
226C22×Q8—22no—
227C22×Q8—22no—
228C22×Q8—22no—
229C22×Q8C2×D414yes—
230C22×Q8C2412yes—
231C22×D4—28no—
232C22×D4—24no—
233C22×D4—21no—
234C22×D4—22no—
235C22×D4—22no—
236C22×D4—22no—
237C22×D4—22no—
238C22×D4—22no—
239C22×D4—44no—
240C22×D4—44no—
241C22×D4C2×D414yes—
242C22×D4C2412yes—
243C23×C4—22no—
244C23×C4—22no—
245C23×C4—22no—
246C23×C4—22no—
247C23×C4—28no—
248C23×C4—24no—
249C23×C4—24no—
250C23×C4—21no—
251C23×C4—21no—
252C23×C4—21no—
253C23×C4—21no—
254C23×C4—21no—
255C23×C4—24no—
256C23×C4—24no—
257C23×C4—21no—
258C23×C4—21no—
259C23×C4—42no—
260C23×C4—42no—
261C23×C4—42no—
262C23×C4—44no—
263C23×C4—44no—
264C23×C4C2×D411yescharacteristic
265C23×C4C2×D411yescharacteristic
266C23×C4C2×D411yescharacteristic
267C23×C4C2×D414yes—
268C23×C4C2×D412yes—
269C23×C4C2×D411yescharacteristic
270C23×C4C2×D414yes—
271C23×C4C2×D414yes—
272C23×C4C2×D411yescharacteristic
273C23×C4C2×D414yes—
274C23×C4C2412yes—
275C23×C4C2411yescharacteristic
276C22×C8—22no—
277C22×C8—22no—
278C22×C8—22no—
279C22×C8—22no—
280C22×C8—22no—
281C22×C8—22no—
282C22×C8—22no—
283C22×C8—22no—
284C22×C8—22no—
285C22×C8—22no—
286C22×C8—22no—
287C22×C8—22no—
288C22×C8C2412yes—
289C22×C8C2412yes—
290C22×C8C2412yes—
291C22×C8C2412yes—
292#126—264no—
293#125—216no—
294#125—28no—
295#125—28no—
296#124—216no—
297#124—28no—
298#124—28no—
299#123—264no—
300C22⋊Q8—216no—
301C22⋊Q8—28no—
302C22⋊Q8C2×D4116yes—
303#121—216no—
304#121—28no—
305#121C2×D4116yes—
306C4×Q8—216no—
307C4×Q8—28no—
308C4×Q8—28no—
309C4×D4—264no—
310C4×D4—216no—
311C4×D4—28no—
312C4×D4—28no—
313#117—216no—
314#117—264no—
315#117—28no—
316#117—28no—
317#117—28no—
318#117—28no—
319#117—48no—
320C2×C4⋊C4—28no—
321C2×C4⋊C4—28no—
322C2×C4⋊C4—28no—
323C2×C4⋊C4—28no—
324C2×C4⋊C4—24no—
325C2×C4⋊C4—24no—
326C2×C4⋊C4—24no—
327C2×C4⋊C4—24no—
328C2×C4⋊C4—21no—
329C2×C4⋊C4—21no—
330C2×C4⋊C4—21no—
331C2×C4⋊C4—22no—
332C2×C4⋊C4—21no—
333C2×C4⋊C4—22no—
334C2×C4⋊C4—22no—
335C2×C4⋊C4—22no—
336C2×C4⋊C4—22no—
337C2×C4⋊C4—22no—
338C2×C4⋊C4—22no—
339C2×C4⋊C4—22no—
340C2×C4⋊C4—24no—
341C2×C4⋊C4—24no—
342C2×C4⋊C4—24no—
343C2×C4⋊C4—24no—
344C2×C4⋊C4—21no—
345C2×C4⋊C4—21no—
346C2×C4⋊C4—44no—
347C2×C4⋊C4—44no—
348C2×C4⋊C4—44no—
349C2×C4⋊C4—44no—
350C2×C4⋊C4C2×D414yes—
351C2×C4⋊C4C2×D414yes—
352C2×C4⋊C4#4114yes—
353C2×C4⋊C4#4114yes—
354C2×C4⋊C4C2412yes—
355C2×C4⋊C4C2412yes—
356C2×C4⋊C4C2412yes—
357C2×C4⋊C4C2412yes—
358C2×C4⋊C4C2412yes—
359C2×C4⋊C4C2412yes—
360C2×C22⋊C4—28no—
361C2×C22⋊C4—28no—
362C2×C22⋊C4—28no—
363C2×C22⋊C4—28no—
364C2×C22⋊C4—28no—
365C2×C22⋊C4—24no—
366C2×C22⋊C4—24no—
367C2×C22⋊C4—28no—
368C2×C22⋊C4—24no—
369C2×C22⋊C4—24no—
370C2×C22⋊C4—24no—
371C2×C22⋊C4—24no—
372C2×C22⋊C4—24no—
373C2×C22⋊C4—44no—
374C2×C42—28no—
375C2×C42—28no—
376C2×C42—24no—
377C2×C42—24no—
378C2×C42—216no—
379C2×C42—24no—
380C2×C42—24no—
381C2×C42—22no—
382C2×C42—22no—
383C2×C42—22no—
384C2×C42—22no—
385C2×C42—28no—
386C2×C42—28no—
387C2×C42—24no—
388C2×C42—44no—
389C2×C42C2×D414yes—
390C2×C42C2×D412yes—
391C2×C42C2×D412yes—
392C2×C42C2×D414yes—
393C2×C42C2412yes—
394C2×C42C2412yes—
395#107—28no—
396#107—28no—
397#106—28no—
398#106—28no—
399#103—28no—
400#103—28no—
401#103—28no—
402#103—28no—
403#102—28no—
404#102—28no—
405#102—28no—
406#102—28no—
407C22⋊C8—28no—
408C22⋊C8—28no—
409#95—24no—
410#95—24no—
411#95—24no—
412#95—24no—
413C24—22no—
414C24—22no—
415C24—22no—
416C24—22no—
417C24—22no—
418C24—22no—
419C24—24no—
420C24—22no—
421C24—42no—
422C24—42no—
423C24—42no—
424C24—42no—
425C24—42no—
426C24—42no—
427C24#12014yes—
428C24C22×D412yes—
429C24C22×D411yescharacteristic
430C2×Q8—24no—
431C2×Q8—22no—
432C2×Q8—28no—
433C2×Q8—28no—
434C2×Q8—22no—
435C2×Q8—22no—
436C2×Q8—22no—
437C2×Q8—22no—
438C2×Q8—42no—
439C2×Q8—42no—
440C2×Q8—44no—
441C2×Q8—44no—
442C2×Q8C22×D414yes—
443C2×D4—216no—
444C2×D4—24no—
445C2×D4—28no—
446C2×D4—28no—
447C2×D4—22no—
448C2×D4—22no—
449C2×D4—22no—
450C2×D4—22no—
451C2×D4—22no—
452C2×D4—432no—
453C2×D4—48no—
454C2×D4—48no—
455C2×D4—42no—
456C2×D4—42no—
457C2×D4—44no—
458C2×D4—44no—
459C2×D4C22×D414yes—
460C22×C4—22no—
461C22×C4—22no—
462C22×C4—22no—
463C22×C4—22no—
464C22×C4—24no—
465C22×C4—24no—
466C22×C4—28no—
467C22×C4—28no—
468C22×C4—28no—
469C22×C4—28no—
470C22×C4—22no—
471C22×C4—22no—
472C22×C4—22no—
473C22×C4—22no—
474C22×C4—216no—
475C22×C4—22no—
476C22×C4—22no—
477C22×C4—22no—
478C22×C4—28no—
479C22×C4—28no—
480C22×C4—24no—
481C22×C4—24no—
482C22×C4—24no—
483C22×C4—24no—
484C22×C4—24no—
485C22×C4—22no—
486C22×C4—22no—
487C22×C4—22no—
488C22×C4—22no—
489C22×C4—22no—
490C22×C4—22no—
491C22×C4—22no—
492C22×C4—22no—
493C22×C4—22no—
494C22×C4—22no—
495C22×C4—22no—
496C22×C4—28no—
497C22×C4—22no—
498C22×C4—22no—
499C22×C4—44no—
500C22×C4—44no—
501C22×C4—44no—
502C22×C4—416no—
503C22×C4—432no—
504C22×C4—48no—
505C22×C4—416no—
506C22×C4—42no—
507C22×C4—42no—
508C22×C4—42no—
509C22×C4—42no—
510C22×C4—42no—
511C22×C4—42no—
512C22×C4—42no—
513C22×C4—42no—
514C22×C4—42no—
515C22×C4—42no—
516C22×C4—48no—
517C22×C4—42no—
518C22×C4—42no—
519C22×C4—42no—
520C22×C4—42no—
521C22×C4—42no—
522C22×C4—42no—
523C22×C4#12014yes—
524C22×C4#12018yes—
525C22×C4#13514yes—
526C22×C4C22×D412yes—
527C22×C4C22×D412yes—
528C22×C4C22×D412yes—
529C22×C4C22×D412yes—
530C22×C4C22×D414yes—
531C22×C4C22×D414yes—
532C22×C4C22×D412yes—
533C22×C4C22×D411yescharacteristic
534C22×C4C22×D412yes—
535C22×C4C22×D412yes—
536C22×C4C2×#4112yes—
537C22×C4C2×#4112yes—
538C22×C42−1+412yes—
539C22×C42−1+412yes—
540C22×C4C2511yescharacteristic
541C2×C8—22no—
542C2×C8—22no—
543C2×C8—22no—
544C2×C8—22no—
545C2×C8—22no—
546C2×C8—22no—
547C2×C8—22no—
548C2×C8—22no—
549C2×C8—22no—
550C2×C8—22no—
551C2×C8—22no—
552C2×C8—22no—
553C2×C8—44no—
554C2×C8—44no—
555C2×C8—44no—
556C2×C8—44no—
557C4⋊C4—216no—
558C4⋊C4—216no—
559C4⋊C4—216no—
560C4⋊C4—216no—
561C4⋊C4—24no—
562C4⋊C4—24no—
563C4⋊C4—24no—
564C4⋊C4—24no—
565C4⋊C4—22no—
566C4⋊C4—22no—
567C4⋊C4—22no—
568C4⋊C4—22no—
569C4⋊C4—22no—
570C4⋊C4—22no—
571C4⋊C4—22no—
572C4⋊C4—22no—
573C4⋊C4—48no—
574C4⋊C4—48no—
575C4⋊C4—48no—
576C4⋊C4—42no—
577C4⋊C4—42no—
578C4⋊C4—48no—
579C4⋊C4C22×D414yes—
580C4⋊C4C22×D414yes—
581C4⋊C4C2×#4114yes—
582C4⋊C4C2×#4114yes—
583C22⋊C4—216no—
584C22⋊C4—216no—
585C22⋊C4—216no—
586C22⋊C4—216no—
587C22⋊C4—216no—
588C22⋊C4—216no—
589C22⋊C4—48no—
590C42—216no—
591C42—216no—
592C42—28no—
593C42—24no—
594C42—24no—
595C42—28no—
596C42—22no—
597C42—22no—
598C42—22no—
599C42—22no—
600C42—48no—
601C23—28no—
602C23—22no—
603C23—22no—
604C23—28no—
605C23—28no—
606C23—22no—
607C23—22no—
608C23—22no—
609C23—22no—
610C23—24no—
611C23—44no—
612C23—44no—
613C23—44no—
614C23—44no—
615C23—48no—
616C23—42no—
617C23—42no—
618C23—48no—
619C23—48no—
620C23—42no—
621C23—42no—
622C23—42no—
623C23—42no—
624C23—84no—
625C23—84no—
626C23—84no—
627C23—84no—
628C23C2×#12014yes—
629C23C2×#12012yes—
630C23#52512yes—
631C23#53612yes—
632C23C2×#13512yes—
633C23#57512yes—
634C23#57512yes—
635C23#57512yes—
636C23C23×D411yescharacteristic
637Q8—24no—
638Q8—24no—
639Q8—48no—
640Q8—42no—
641Q8—42no—
642D4—24no—
643D4—24no—
644D4—432no—
645D4—48no—
646D4—42no—
647D4—42no—
648C2×C4—28no—
649C2×C4—22no—
650C2×C4—22no—
651C2×C4—22no—
652C2×C4—28no—
653C2×C4—22no—
654C2×C4—216no—
655C2×C4—24no—
656C2×C4—24no—
657C2×C4—24no—
658C2×C4—24no—
659C2×C4—22no—
660C2×C4—22no—
661C2×C4—22no—
662C2×C4—24no—
663C2×C4—24no—
664C2×C4—24no—
665C2×C4—24no—
666C2×C4—24no—
667C2×C4—22no—
668C2×C4—22no—
669C2×C4—22no—
670C2×C4—22no—
671C2×C4—22no—
672C2×C4—22no—
673C2×C4—416no—
674C2×C4—432no—
675C2×C4—416no—
676C2×C4—48no—
677C2×C4—48no—
678C2×C4—48no—
679C2×C4—42no—
680C2×C4—42no—
681C2×C4—44no—
682C2×C4—48no—
683C2×C4—44no—
684C2×C4—44no—
685C2×C4—48no—
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—84no—
701C2×C4—84no—
702C2×C4C2×#12014yes—
703C2×C4C2×#12012yes—
704C2×C4#52512yes—
705C2×C4#53612yes—
706C2×C4#54714yes—
707C2×C4#54714yes—
708C2×C4#54714yes—
709C2×C4#54714yes—
710C2×C4C2×#13514yes—
711C2×C4C23×D411yescharacteristic
712C2×C4C23×D411yescharacteristic
713C2×C4C22×#4111yescharacteristic
714C2×C4C22×#4111yescharacteristic
715C2×C4C2×2−1+411yescharacteristic
716C2×C4C2×2−1+411yescharacteristic
717C8—42no—
718C8—42no—
719C8—42no—
720C8—42no—
721C22—24no—
722C22—24no—
723C22—24no—
724C22—416no—
725C22—42no—
726C22—42no—
727C22—42no—
728C22—42no—
729C22—44no—
730C22—44no—
731C22—44no—
732C22—816no—
733C22—82no—
734C22—82no—
735C22—82no—
736C22—82no—
737C22#240614yes—
738C22#300214yes—
739C22#300514yes—
740C22#310214yes—
741C22#311114yes—
742C22#323314yes—
743C22#324014yes—
744C22C22×#12011yescharacteristic
745C22C2×#52511yescharacteristic
746C22C2×#53611yescharacteristic
747C22C22×#13511yescharacteristic
748C22C2×#57511yescharacteristic
749C22C2×#57511yescharacteristic
750C22C2×#57511yescharacteristic
751C4—24no—
752C4—24no—
753C4—44no—
754C4—44no—
755C4—44no—
756C4—42no—
757C4—44no—
758C4—42no—
759C4—42no—
760C4—44no—
761C4—82no—
762C4—82no—
763C4#240614yes—
764C4C2×#54711yescharacteristic
765C4C2×#54711yescharacteristic
766C4C2×#54711yescharacteristic
767C4C2×#54711yescharacteristic
768C2—44no—
769C2—84no—
770C2#2406818yesdirect product factor
771C2C2×#240611yescharacteristic
772C2C2×#300211yescharacteristic
773C2C2×#300511yescharacteristic
774C2C2×#310211yescharacteristic
775C2C2×#311111yescharacteristic
776C2C2×#323311yescharacteristic
777C2C2×#324011yescharacteristic
subgroupG/H
center, socleC24C22×D4
commutator, Frattini, cosocleC22×C4C25
prime radicalC22×#121C22
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C24 ◁ C23×C42 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
2. C22×#485C2semidirect
4. C2×#2296C2semidirect
5. #24068C2direct (N × H)
6. C2×#2059C2semidirect
7. C2×#2059C2semidirect
8. C2×#2042C2semidirect
9. C2×#2042C2semidirect
11. C2×#1873C2semidirect
12. C2×#1865C2semidirect
13. C2×#1863C2semidirect
14. C2×#1864C2semidirect
15. C2×#1862C2semidirect
16. C2×#1817C2semidirect
35. C2×#485C22semidirect
53. #2296C22semidirect
62. #2059C22semidirect
63. #2059C22semidirect
64. #2042C22semidirect
65. #2042C22semidirect
67. #1873C22semidirect
68. #1865C22semidirect
69. #1864C22semidirect
70. #1863C22semidirect
71. #1862C22semidirect
72. #1817C22semidirect
770. C2#24068direct (N × H)

Maximal subgroups

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

subgroupindex
C22×#5292
C22×#4852
C22×#4822
C2×#22962
#240682
C2×#20592
C2×#20422
C2×#18752
C2×#18732
C2×#18652
C2×#18632
C2×#18642
C2×#18622
C2×#18172