Finite Group Databasebeta

← C2×#28163 #6462838

Subgroups — C2×#28163 #6462838

Order 512.

2766 conjugacy classes of subgroups.

The subgroup lattice has 774 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#464C211yesmaximal, characteristic, complemented
2C22×#463C211yesmaximal, characteristic
3C2×C4×#124C211yesmaximal, characteristic, complemented
4C2×C4×#124C211yesmaximal, characteristic, complemented
5#28163C2116yesmaximal, direct product factor
6C2×#2074C211yesmaximal, characteristic, complemented
7C2×#2073C211yesmaximal, characteristic, complemented
8C2×#2015C211yesmaximal, characteristic, complemented
9C2×#2012C211yesmaximal, characteristic
10C2×#1880C211yesmaximal, characteristic, complemented
11C2×#1878C211yesmaximal, characteristic, complemented
12C2×#1879C211yesmaximal, characteristic
13C2×#1877C211yesmaximal, characteristic, complemented
14C2×#1831C211yesmaximal, characteristic, complemented
15C2×#1805C211yesmaximal, characteristic, complemented
16C2×#1804C211yesmaximal, characteristic, complemented
17C23×Q16C2211yescharacteristic
18C23×SD16C2211yescharacteristic
19C23×SD16C2211yescharacteristic
20C23×D8C2211yescharacteristic
21C22×#124C2211yescharacteristic
22C22×#124C2211yescharacteristic
23C22×C4×Q8C2211yescharacteristic
24C22×C4×Q8C2211yescharacteristic
25C22×C4×D4C2211yescharacteristic
26C22×C4×D4C2211yescharacteristic
27C2×#464—28no—
28C2×#464C2218yescomplemented
29C2×#463—28no—
30C2×#463C2218yes—
31C22×C4⋊C8C2211yescharacteristic
32C22×C4⋊C8C2211yescharacteristic
33C22×#103C2211yescharacteristic
34C22×#103C2211yescharacteristic
35C22×#103C2211yescharacteristic
36C22×#103C2211yescharacteristic
37C22×#102C2211yescharacteristic
38C22×#102C2211yescharacteristic
39C22×#102C2211yescharacteristic
40C22×#102C2211yescharacteristic
41C4×#124—24no—
42C4×#124—24no—
43C4×#124C2218yescomplemented
44C4×#124C2218yescomplemented
45C2×#391C2211yescharacteristic
46C2×#391C2211yescharacteristic
47C2×#390C2211yescharacteristic
48C2×#390C2211yescharacteristic
49C2×#388—21no—
50C2×#388—21no—
51C2×#388—21no—
52C2×#388—21no—
53C2×#382C2211yescharacteristic
54C2×#382C2211yescharacteristic
55C2×C4×C22⋊C4—21no—
56C2×C4×C22⋊C4—21no—
57C2×C4×C22⋊C4—21no—
58C2×C4×C22⋊C4—21no—
59C2×C43C2211yescharacteristic
60#2074C2218yescomplemented
61#2073C2218yescomplemented
62#2015C2218yescomplemented
63#2012C2218yes—
64#1880C2218yescomplemented
65#1879C2218yes—
66#1878C2218yescomplemented
67#1877C2218yescomplemented
68#1831C2218yescomplemented
69#1805C2218yescomplemented
70#1804C2218yescomplemented
71C2×#340C2211yescharacteristic
72C2×#340C2211yescharacteristic
73C2×#340C2211yescharacteristic
74C2×#340C2211yescharacteristic
75C2×#336C2211yescharacteristic
76C2×#336C2211yescharacteristic
77C2×#336C2211yescharacteristic
78C2×#336C2211yescharacteristic
79C23×Q8C2311yescharacteristic
80C23×Q8C2311yescharacteristic
81C23×D4C2311yescharacteristic
82C23×D4C2311yescharacteristic
83C24×C4—21no—
84C24×C4—21no—
85C22×Q16—24no—
86C22×Q16—24no—
87C22×Q16—42no—
88C22×Q16C2314yes—
89C22×SD16—24no—
90C22×SD16—24no—
91C22×SD16—24no—
92C22×SD16—24no—
93C22×SD16—42no—
94C22×SD16—42no—
95C22×SD16C2314yes—
96C22×SD16C2314yes—
97C22×D8—24no—
98C22×D8—24no—
99C22×D8—42no—
100C22×D8C2314yes—
101C23×C8C2311yescharacteristic
102C23×C8C2311yescharacteristic
103C23×C8C2311yescharacteristic
104C23×C8C2311yescharacteristic
105C2×#124—24no—
106C2×#124—24no—
107C2×#124—22no—
108C2×#124—22no—
109C2×#124—24no—
110C2×#124D418yes—
111C2×#124C2314yes—
112C2×#124C2314yes—
113C2×C4×Q8—22no—
114C2×C4×Q8—22no—
115C2×C4×Q8—24no—
116C2×C4×Q8—24no—
117C2×C4×Q8—42no—
118C2×C4×Q8—42no—
119C2×C4×Q8C2314yes—
120C2×C4×Q8C2314yes—
121C2×C4×D4—22no—
122C2×C4×D4—22no—
123C2×C4×D4—24no—
124C2×C4×D4—24no—
125C2×C4×D4—42no—
126C2×C4×D4—42no—
127C2×C4×D4C2314yes—
128C2×C4×D4C2314yes—
129C22×C4⋊C4—21no—
130C22×C4⋊C4—21no—
131C22×C4⋊C4C2311yescharacteristic
132C22×C4⋊C4C2311yescharacteristic
133C22×C4⋊C4C2311yescharacteristic
134C22×C4⋊C4C2311yescharacteristic
135C22×C22⋊C4—21no—
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⋊C4—21no—
145C22×C42—21no—
146C22×C42—21no—
147C22×C42D411yescharacteristic
148C22×C42D411yescharacteristic
149C22×C42D411yescharacteristic
150C22×C42D411yescharacteristic
151C22×C42C2311yescharacteristic
152C22×C42C2311yescharacteristic
153C22×C42C2311yescharacteristic
154#464—232no—
155#463—232no—
156C2×C4⋊C8—24no—
157C2×C4⋊C8—24no—
158C2×C4⋊C8C2314yes—
159C2×C4⋊C8C2314yes—
160C2×#103—24no—
161C2×#103—24no—
162C2×#103—42no—
163C2×#103—42no—
164C2×#103C2314yes—
165C2×#103C2314yes—
166C2×#103C2314yes—
167C2×#103C2314yes—
168C2×#102—24no—
169C2×#102—24no—
170C2×#102—42no—
171C2×#102—42no—
172C2×#102C2314yes—
173C2×#102C2314yes—
174C2×#102C2314yes—
175C2×#102C2314yes—
176#391—22no—
177#391—22no—
178#391C2314yes—
179#391C2314yes—
180#390—22no—
181#390—22no—
182#390C2314yes—
183#390C2314yes—
184#388—28no—
185#388—28no—
186#388—28no—
187#388—28no—
188#382—22no—
189#382—22no—
190#382C2314yes—
191#382C2314yes—
192C4×C22⋊C4—28no—
193C4×C22⋊C4—28no—
194C4×C22⋊C4—28no—
195C4×C22⋊C4—28no—
196C2×#95—21no—
197C2×#95—21no—
198C2×#95—21no—
199C2×#95—21no—
200C2×#95—21no—
201C2×#95—21no—
202C2×#95—21no—
203C2×#95—21no—
204C43D414yes—
205C43C2314yes—
206#340C2314yes—
207#340C2314yes—
208#340C2314yes—
209#340C2314yes—
210#336C2314yes—
211#336C2314yes—
212#336C2314yes—
213#336C2314yes—
214C25—21no—
215C25—21no—
216C22×Q8—21no—
217C22×Q8—21no—
218C22×Q8—22no—
219C22×Q8—22no—
220C22×Q8—22no—
221C22×Q8—22no—
222C22×Q8—22no—
223C22×Q8—22no—
224C22×Q8—22no—
225C22×Q8—22no—
226C22×Q8—22no—
227C22×Q8—22no—
228C22×Q8C2×D414yes—
229C22×Q8#4114yes—
230C22×Q8C2412yes—
231C22×Q8C2412yes—
232C22×D4—22no—
233C22×D4—21no—
234C22×D4—21no—
235C22×D4—22no—
236C22×D4—22no—
237C22×D4—22no—
238C22×D4—22no—
239C22×D4—22no—
240C22×D4—22no—
241C22×D4—22no—
242C22×D4—22no—
243C22×D4—22no—
244C22×D4C2×D414yes—
245C22×D4#4114yes—
246C22×D4C2412yes—
247C22×D4C2412yes—
248C23×C4—21no—
249C23×C4—21no—
250C23×C4—21no—
251C23×C4—21no—
252C23×C4—21no—
253C23×C4—21no—
254C23×C4—24no—
255C23×C4—24no—
256C23×C4—44no—
257C23×C4—44no—
258C23×C4—44no—
259C23×C4—44no—
260C23×C4—44no—
261C23×C4—44no—
262C23×C4C2×D411yescharacteristic
263C23×C4C2×D411yescharacteristic
264C23×C4C2×D411yescharacteristic
265C23×C4C2×D411yescharacteristic
266C23×C4C2×D411yescharacteristic
267C23×C4C2×D411yescharacteristic
268C23×C4C2411yescharacteristic
269C2×Q16—28no—
270C2×Q16—28no—
271C2×Q16—44no—
272C2×Q16—416no—
273C2×SD16—28no—
274C2×SD16—28no—
275C2×SD16—28no—
276C2×SD16—28no—
277C2×SD16—44no—
278C2×SD16—44no—
279C2×SD16—416no—
280C2×SD16—416no—
281C2×D8—28no—
282C2×D8—28no—
283C2×D8—44no—
284C2×D8—416no—
285C22×C8—22no—
286C22×C8—22no—
287C22×C8—22no—
288C22×C8—22no—
289C22×C8—22no—
290C22×C8—22no—
291C22×C8—22no—
292C22×C8—22no—
293C22×C8—22no—
294C22×C8—22no—
295C22×C8—22no—
296C22×C8—22no—
297C22×C8C2412yes—
298C22×C8C2412yes—
299C22×C8C2412yes—
300C22×C8C2412yes—
301#124—216no—
302#124—28no—
303#124—28no—
304#124—216no—
305#124—28no—
306#124C2×D4116yes—
307C4×Q8—28no—
308C4×Q8—28no—
309C4×Q8—44no—
310C4×Q8—44no—
311C4×Q8—48no—
312C4×Q8—48no—
313C4×D4—28no—
314C4×D4—28no—
315C4×D4—44no—
316C4×D4—44no—
317C4×D4—48no—
318C4×D4—48no—
319C2×C4⋊C4—22no—
320C2×C4⋊C4—22no—
321C2×C4⋊C4—22no—
322C2×C4⋊C4—22no—
323C2×C4⋊C4—22no—
324C2×C4⋊C4—22no—
325C2×C4⋊C4—22no—
326C2×C4⋊C4—22no—
327C2×C4⋊C4—24no—
328C2×C4⋊C4—24no—
329C2×C4⋊C4—21no—
330C2×C4⋊C4—21no—
331C2×C4⋊C4—21no—
332C2×C4⋊C4—21no—
333C2×C4⋊C4—44no—
334C2×C4⋊C4—44no—
335C2×C4⋊C4C2412yes—
336C2×C4⋊C4C2412yes—
337C2×C4⋊C4C2412yes—
338C2×C4⋊C4C2412yes—
339C2×C22⋊C4—28no—
340C2×C22⋊C4—28no—
341C2×C22⋊C4—28no—
342C2×C22⋊C4—28no—
343C2×C22⋊C4—24no—
344C2×C22⋊C4—24no—
345C2×C22⋊C4—24no—
346C2×C22⋊C4—24no—
347C2×C22⋊C4—24no—
348C2×C22⋊C4—24no—
349C2×C22⋊C4—24no—
350C2×C22⋊C4—24no—
351C2×C22⋊C4—24no—
352C2×C22⋊C4—24no—
353C2×C22⋊C4—44no—
354C2×C22⋊C4—44no—
355C2×C22⋊C4—44no—
356C2×C22⋊C4—44no—
357C2×C22⋊C4—44no—
358C2×C22⋊C4—44no—
359C2×C42—24no—
360C2×C42—22no—
361C2×C42—22no—
362C2×C42—22no—
363C2×C42—22no—
364C2×C42—24no—
365C2×C42—24no—
366C2×C42—42no—
367C2×C42—42no—
368C2×C42—42no—
369C2×C42—44no—
370C2×C42—44no—
371C2×C42C2×D412yes—
372C2×C42C2×D412yes—
373C2×C42C2×D414yes—
374C2×C42C2×D414yes—
375C2×C42C2×D414yes—
376C2×C42C2×D414yes—
377C2×C42C2×D412yes—
378C2×C42C2×D414yes—
379C2×C42#4114yes—
380C2×C42C2412yes—
381C2×C42C2412yes—
382C2×C42C2412yes—
383C4⋊C8—28no—
384C4⋊C8—28no—
385#103—28no—
386#103—28no—
387#103—44no—
388#103—44no—
389#102—28no—
390#102—28no—
391#102—44no—
392#102—44no—
393#95—24no—
394#95—24no—
395#95—24no—
396#95—24no—
397#95—24no—
398#95—24no—
399#95—24no—
400#95—24no—
401C24—24no—
402C24—24no—
403C24—22no—
404C24—22no—
405C24—42no—
406C24—42no—
407C24—42no—
408C24—42no—
409C24—42no—
410C24—42no—
411C24—42no—
412C24—42no—
413C24—42no—
414C24—42no—
415C24—42no—
416C24—42no—
417C24C22×D411yescharacteristic
418C2×Q8—24no—
419C2×Q8—24no—
420C2×Q8—22no—
421C2×Q8—22no—
422C2×Q8—28no—
423C2×Q8—28no—
424C2×Q8—28no—
425C2×Q8—28no—
426C2×Q8—22no—
427C2×Q8—22no—
428C2×Q8—22no—
429C2×Q8—22no—
430C2×Q8—22no—
431C2×Q8—22no—
432C2×Q8—22no—
433C2×Q8—22no—
434C2×Q8—42no—
435C2×Q8—42no—
436C2×Q8—42no—
437C2×Q8—42no—
438C2×Q8—44no—
439C2×Q8—44no—
440C2×Q8—44no—
441C2×Q8—44no—
442C2×Q8C22×D414yes—
443C2×Q8C2×#4114yes—
444C2×D4—24no—
445C2×D4—24no—
446C2×D4—28no—
447C2×D4—28no—
448C2×D4—28no—
449C2×D4—28no—
450C2×D4—22no—
451C2×D4—22no—
452C2×D4—22no—
453C2×D4—22no—
454C2×D4—22no—
455C2×D4—22no—
456C2×D4—22no—
457C2×D4—22no—
458C2×D4—22no—
459C2×D4—22no—
460C2×D4—42no—
461C2×D4—42no—
462C2×D4—42no—
463C2×D4—42no—
464C2×D4—44no—
465C2×D4—44no—
466C2×D4—44no—
467C2×D4—44no—
468C2×D4C22×D414yes—
469C2×D4C2×#4114yes—
470C22×C4—22no—
471C22×C4—22no—
472C22×C4—22no—
473C22×C4—22no—
474C22×C4—22no—
475C22×C4—22no—
476C22×C4—24no—
477C22×C4—22no—
478C22×C4—22no—
479C22×C4—24no—
480C22×C4—22no—
481C22×C4—22no—
482C22×C4—22no—
483C22×C4—22no—
484C22×C4—22no—
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—48no—
494C22×C4—48no—
495C22×C4—48no—
496C22×C4—48no—
497C22×C4—42no—
498C22×C4—42no—
499C22×C4—42no—
500C22×C4—42no—
501C22×C4—42no—
502C22×C4—42no—
503C22×C4—42no—
504C22×C4—42no—
505C22×C4—42no—
506C22×C4—42no—
507C22×C4—42no—
508C22×C4—42no—
509C22×C4—42no—
510C22×C4—42no—
511C22×C4—42no—
512C22×C4—42no—
513C22×C4—48no—
514C22×C4—48no—
515C22×C4—816no—
516C22×C4—816no—
517C22×C4#12114yes—
518C22×C4#12114yes—
519C22×C4#13514yes—
520C22×C4C22×D412yes—
521C22×C4C22×D412yes—
522C22×C4C22×D412yes—
523C22×C4C22×D412yes—
524C22×C4C22×D412yes—
525C22×C4C22×D412yes—
526C22×C4C22×D411yescharacteristic
527C22×C4C22×D412yes—
528C22×C4C2×#4112yes—
529C22×C4C2×#4112yes—
530C22×C4C2×#4112yes—
531C22×C4H(5,𝔽2)12yes—
532C22×C4H(5,𝔽2)12yes—
533C22×C4C2511yescharacteristic
534Q16—416no—
535SD16—416no—
536SD16—416no—
537D8—416no—
538C2×C8—22no—
539C2×C8—22no—
540C2×C8—22no—
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—44no—
551C2×C8—44no—
552C2×C8—44no—
553C2×C8—44no—
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—42no—
564C4⋊C4—42no—
565C4⋊C4—48no—
566C4⋊C4—42no—
567C4⋊C4—42no—
568C22⋊C4—216no—
569C22⋊C4—216no—
570C22⋊C4—216no—
571C22⋊C4—216no—
572C22⋊C4—48no—
573C22⋊C4—48no—
574C22⋊C4—48no—
575C22⋊C4—48no—
576C22⋊C4—48no—
577C22⋊C4—48no—
578C42—24no—
579C42—24no—
580C42—28no—
581C42—22no—
582C42—22no—
583C42—22no—
584C42—22no—
585C42—44no—
586C42—44no—
587C42—44no—
588C42—48no—
589C42—48no—
590C42#12118yes—
591C42C22×D414yes—
592C42C2×#4114yes—
593C23—24no—
594C23—24no—
595C23—48no—
596C23—48no—
597C23—42no—
598C23—42no—
599C23—42no—
600C23—42no—
601C23—48no—
602C23—48no—
603C23—48no—
604C23—48no—
605C23—42no—
606C23—42no—
607C23—42no—
608C23—42no—
609C23—42no—
610C23—42no—
611C23—42no—
612C23—42no—
613C23—84no—
614C23—84no—
615C23—84no—
616C23—84no—
617C23—84no—
618C23—84no—
619C23—84no—
620C23—84no—
621C23C2×#12112yes—
622C23#52512yes—
623C23#53512yes—
624C23C2×#13512yes—
625C23#57512yes—
626C23#57512yes—
627C23#57512yes—
628C23C23×D411yescharacteristic
629Q8—24no—
630Q8—24no—
631Q8—24no—
632Q8—24no—
633Q8—42no—
634Q8—42no—
635Q8—42no—
636Q8—42no—
637Q8—48no—
638Q8—48no—
639D4—24no—
640D4—24no—
641D4—24no—
642D4—24no—
643D4—42no—
644D4—42no—
645D4—42no—
646D4—42no—
647D4—48no—
648D4—48no—
649C2×C4—22no—
650C2×C4—28no—
651C2×C4—28no—
652C2×C4—28no—
653C2×C4—22no—
654C2×C4—22no—
655C2×C4—22no—
656C2×C4—22no—
657C2×C4—22no—
658C2×C4—24no—
659C2×C4—22no—
660C2×C4—22no—
661C2×C4—24no—
662C2×C4—22no—
663C2×C4—22no—
664C2×C4—22no—
665C2×C4—22no—
666C2×C4—22no—
667C2×C4—22no—
668C2×C4—22no—
669C2×C4—44no—
670C2×C4—44no—
671C2×C4—42no—
672C2×C4—42no—
673C2×C4—42no—
674C2×C4—42no—
675C2×C4—44no—
676C2×C4—48no—
677C2×C4—48no—
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—816no—
691C2×C4—816no—
692C2×C4—84no—
693C2×C4—84no—
694C2×C4—84no—
695C2×C4—84no—
696C2×C4C2×#12114yes—
697C2×C4C2×#12114yes—
698C2×C4C2×#12112yes—
699C2×C4#52512yes—
700C2×C4#53512yes—
701C2×C4#54614yes—
702C2×C4#54614yes—
703C2×C4#55314yes—
704C2×C4#55314yes—
705C2×C4C2×#13514yes—
706C2×C4C23×D411yescharacteristic
707C2×C4C22×#4111yescharacteristic
708C2×C4C22×#4111yescharacteristic
709C2×C4C22×#4111yescharacteristic
710C2×C4C2×H(5,𝔽2)11yescharacteristic
711C2×C4C2×H(5,𝔽2)11yescharacteristic
712C8—42no—
713C8—42no—
714C8—42no—
715C8—42no—
716C22—44no—
717C22—44no—
718C22—44no—
719C22—44no—
720C22—44no—
721C22—44no—
722C22—816no—
723C22—816no—
724C22—82no—
725C22—82no—
726C22—82no—
727C22—82no—
728C22—82no—
729C22—82no—
730C22—82no—
731C22—82no—
732C22#253514yes—
733C22#303514yes—
734C22#304014yes—
735C22#310214yes—
736C22#311114yes—
737C22#321114yes—
738C22#321914yes—
739C22C22×#12111yescharacteristic
740C22C2×#52511yescharacteristic
741C22C2×#53511yescharacteristic
742C22C22×#13511yescharacteristic
743C22C2×#57511yescharacteristic
744C22C2×#57511yescharacteristic
745C22C2×#57511yescharacteristic
746C4—24no—
747C4—24no—
748C4—24no—
749C4—44no—
750C4—44no—
751C4—42no—
752C4—42no—
753C4—42no—
754C4—82no—
755C4—82no—
756C4—82no—
757C4—82no—
758C4#253514yes—
759C4C2×#54611yescharacteristic
760C4C2×#54611yescharacteristic
761C4C2×#55311yescharacteristic
762C4C2×#55311yescharacteristic
763C2—84no—
764C2—84no—
765C2#2816318yesdirect product factor
766C2C2×#253511yescharacteristic
767C2C2×#303511yescharacteristic
768C2C2×#304011yescharacteristic
769C2C2×#310211yescharacteristic
770C2C2×#311111yescharacteristic
771C2C2×#321111yescharacteristic
772C2C2×#321911yescharacteristic
subgroupG/H
center, socleC24C22×D4
commutator, Frattini, cosocleC22×C4C25
prime radicalC23×D8C22
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C24 ◁ C2×C43 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C22×#464C2semidirect
3. C2×C4×#124C2semidirect
4. C2×C4×#124C2semidirect
5. #28163C2direct (N × H)
6. C2×#2074C2semidirect
7. C2×#2073C2semidirect
8. C2×#2015C2semidirect
10. C2×#1880C2semidirect
11. C2×#1878C2semidirect
13. C2×#1877C2semidirect
14. C2×#1831C2semidirect
15. C2×#1805C2semidirect
16. C2×#1804C2semidirect
28. C2×#464C22semidirect
43. C4×#124C22semidirect
44. C4×#124C22semidirect
60. #2074C22semidirect
61. #2073C22semidirect
62. #2015C22semidirect
64. #1880C22semidirect
66. #1878C22semidirect
67. #1877C22semidirect
68. #1831C22semidirect
69. #1805C22semidirect
70. #1804C22semidirect
765. C2#28163direct (N × H)

Maximal subgroups

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

subgroupindex
C22×#4642
C22×#4632
C2×C4×#1242
#281632
C2×#20742
C2×#20732
C2×#20152
C2×#20122
C2×#18802
C2×#18782
C2×#18792
C2×#18772
C2×#18312
C2×#18052
C2×#18042