Finite Group Databasebeta

← C2×#24636 #6448864

Subgroups — C2×#24636 #6448864

Order 512.

2586 conjugacy classes of subgroups.

The subgroup lattice has 765 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#463C211yesmaximal, characteristic
2C22×C4×SD16C211yesmaximal, characteristic, complemented
3C2×#2545C211yesmaximal, characteristic, complemented
4C2×#2357C211yesmaximal, characteristic, complemented
5#24636C2116yesmaximal, direct product factor
6C2×#2055C211yesmaximal, characteristic, complemented
7C2×#2054C211yesmaximal, characteristic
8C2×#2013C211yesmaximal, characteristic, complemented
9C2×#2012C211yesmaximal, characteristic
10C2×#1983C211yesmaximal, characteristic, complemented
11C2×#1981C211yesmaximal, characteristic, complemented
12C2×#1958C211yesmaximal, characteristic, complemented
13C2×#1939C211yesmaximal, characteristic, complemented
14C2×#1926C211yesmaximal, characteristic, complemented
15C2×#1927C211yesmaximal, characteristic, complemented
16C2×#1805C211yesmaximal, characteristic, complemented
17C23×SD16C2211yescharacteristic
18C23×SD16C2211yescharacteristic
19C23×D8C2211yescharacteristic
20C22×C4⋊Q8C2211yescharacteristic
21C22×#124C2211yescharacteristic
22C22×#124C2211yescharacteristic
23C22×C4×Q8C2211yescharacteristic
24C22×C4×D4C2211yescharacteristic
25C2×#463—28no—
26C2×#463C2218yes—
27C2×C4×SD16—28no—
28C2×C4×SD16C2218yescomplemented
29C22×#106C2211yescharacteristic
30C22×C4⋊C8C2211yescharacteristic
31C22×C4⋊C8C2211yescharacteristic
32C22×C4⋊C8C2211yescharacteristic
33C22×#103C2211yescharacteristic
34C22×#103C2211yescharacteristic
35C22×#103C2211yescharacteristic
36C22×#103C2211yescharacteristic
37C22×#103C2211yescharacteristic
38C22×#103C2211yescharacteristic
39C22×#102C2211yescharacteristic
40C22×#102C2211yescharacteristic
41C22×#102C2211yescharacteristic
42C22×#102C2211yescharacteristic
43C22×C4×C8C2211yescharacteristic
44#2545—24no—
45#2545C2218yescomplemented
46C2×#396—21no—
47C2×#396—21no—
48#2357—24no—
49#2357C2218yescomplemented
50C2×#391C2211yescharacteristic
51C2×#390C2211yescharacteristic
52C2×#390C2211yescharacteristic
53C2×#390C2211yescharacteristic
54C2×#388—21no—
55C2×#388—21no—
56C2×#388—21no—
57C2×#388—21no—
58C2×#382C2211yescharacteristic
59C2×#381—21no—
60C2×C4×C4⋊C4C2211yescharacteristic
61C2×C4×C4⋊C4C2211yescharacteristic
62C2×C4×C4⋊C4C2211yescharacteristic
63C2×C4×C22⋊C4—21no—
64#2055C2218yescomplemented
65#2054C2218yes—
66#2013C2218yescomplemented
67#2012C2218yes—
68#1983C2218yescomplemented
69#1981C2218yescomplemented
70#1958C2218yescomplemented
71#1939C2218yescomplemented
72#1927C2218yescomplemented
73#1926C2218yescomplemented
74#1805C2218yescomplemented
75C2×#340C2211yescharacteristic
76C2×#340C2211yescharacteristic
77C2×#336C2211yescharacteristic
78C2×#336C2211yescharacteristic
79C23×Q8C2311yescharacteristic
80C23×Q8C2311yescharacteristic
81C23×D4C2311yescharacteristic
82C23×D4C2311yescharacteristic
83C24×C4—21no—
84C22×SD16—24no—
85C22×SD16—24no—
86C22×SD16—24no—
87C22×SD16—24no—
88C22×SD16—42no—
89C22×SD16—42no—
90C22×SD16C2314yes—
91C22×SD16C2314yes—
92C22×D8—24no—
93C22×D8—42no—
94C22×D8—42no—
95C22×D8C2314yes—
96C23×C8C2311yescharacteristic
97C23×C8C2311yescharacteristic
98C23×C8C2311yescharacteristic
99C23×C8C2311yescharacteristic
100C2×C4⋊Q8—24no—
101C2×C4⋊Q8—22no—
102C2×C4⋊Q8—42no—
103C2×C4⋊Q8C2314yes—
104C2×#124—24no—
105C2×#124—22no—
106C2×#124—22no—
107C2×#124—24no—
108C2×#124—24no—
109C2×#124—42no—
110C2×#124C2314yes—
111C2×#124C2314yes—
112C2×C4×Q8—22no—
113C2×C4×Q8—24no—
114C2×C4×Q8—24no—
115C2×C4×Q8C2314yes—
116C2×C4×D4—22no—
117C2×C4×D4—24no—
118C2×C4×D4D418yes—
119C2×C4×D4C2314yes—
120C22×C4⋊C4—21no—
121C22×C4⋊C4—21no—
122C22×C4⋊C4—21no—
123C22×C4⋊C4D411yescharacteristic
124C22×C4⋊C4D411yescharacteristic
125C22×C4⋊C4C2311yescharacteristic
126C22×C4⋊C4C2311yescharacteristic
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⋊C4—21no—
136C22×C22⋊C4—21no—
137C22×C22⋊C4—21no—
138C22×C22⋊C4—21no—
139C22×C22⋊C4—21no—
140C22×C42—21no—
141C22×C42—21no—
142C22×C42—21no—
143C22×C42C2311yescharacteristic
144C22×C42C2311yescharacteristic
145C22×C42C2311yescharacteristic
146#463—232no—
147C4×SD16—232no—
148C2×#106—24no—
149C2×#106C2314yes—
150C2×C4⋊C8—24no—
151C2×C4⋊C8—42no—
152C2×C4⋊C8—42no—
153C2×C4⋊C8C2314yes—
154C2×C4⋊C8C2314yes—
155C2×C4⋊C8C2314yes—
156C2×#103—24no—
157C2×#103—24no—
158C2×#103—24no—
159C2×#103—42no—
160C2×#103—42no—
161C2×#103—42no—
162C2×#103C2314yes—
163C2×#103C2314yes—
164C2×#103C2314yes—
165C2×#103C2314yes—
166C2×#103C2314yes—
167C2×#103C2314yes—
168C2×#102—24no—
169C2×#102—24no—
170C2×#102—24no—
171C2×#102—42no—
172C2×#102C2314yes—
173C2×#102C2314yes—
174C2×#102C2314yes—
175C2×#102C2314yes—
176C2×C4×C8—24no—
177C2×C4×C8C2314yes—
178#396—28no—
179#396—28no—
180#391—22no—
181#391C2314yes—
182#390—22no—
183#390—22no—
184#390—22no—
185#390C2314yes—
186#390C2314yes—
187#390C2314yes—
188#388—28no—
189#388—28no—
190#388—28no—
191#388—28no—
192#382—22no—
193#382C2314yes—
194#381—28no—
195C4×C4⋊C4—22no—
196C4×C4⋊C4—22no—
197C4×C4⋊C4D414yes—
198C4×C4⋊C4C2314yes—
199C4×C4⋊C4C2314yes—
200C4×C4⋊C4C2314yes—
201C4×C22⋊C4—28no—
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—
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×Q8—22no—
229C22×Q8#4114yes—
230C22×Q8C2412yes—
231C22×Q8C2412yes—
232C22×D4—21no—
233C22×D4—22no—
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×D4—22no—
245C22×D4C2×D414yes—
246C22×D4C2412yes—
247C22×D4C2412yes—
248C23×C4—21no—
249C23×C4—21no—
250C23×C4—28no—
251C23×C4—24no—
252C23×C4—21no—
253C23×C4—21no—
254C23×C4—21no—
255C23×C4—21no—
256C23×C4—82no—
257C23×C4—82no—
258C23×C4C2×D411yescharacteristic
259C23×C4C2×D411yescharacteristic
260C23×C4C2×D411yescharacteristic
261C23×C4C2×D411yescharacteristic
262C23×C4C2×D411yescharacteristic
263C23×C4C2×D411yescharacteristic
264C23×C4C2411yescharacteristic
265C2×SD16—232no—
266C2×SD16—28no—
267C2×SD16—28no—
268C2×SD16—28no—
269C2×SD16—28no—
270C2×SD16—44no—
271C2×SD16—44no—
272C2×SD16—416no—
273C2×D8—28no—
274C2×D8—44no—
275C2×D8—44no—
276C2×D8—416no—
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×C8#4114yes—
289C22×C8C2412yes—
290C22×C8C2412yes—
291C22×C8C2412yes—
292C22×C8C2412yes—
293C4⋊Q8—28no—
294C4⋊Q8—44no—
295C4⋊Q8—48no—
296#124—28no—
297#124—28no—
298#124—28no—
299#124—44no—
300#124—48no—
301#124—48no—
302C4×Q8—28no—
303C4×Q8—28no—
304C4×Q8—48no—
305C4×D4—216no—
306C4×D4—28no—
307C4×D4C2×D4116yes—
308C2×C4⋊C4—24no—
309C2×C4⋊C4—21no—
310C2×C4⋊C4—22no—
311C2×C4⋊C4—22no—
312C2×C4⋊C4—22no—
313C2×C4⋊C4—22no—
314C2×C4⋊C4—22no—
315C2×C4⋊C4—22no—
316C2×C4⋊C4—22no—
317C2×C4⋊C4—24no—
318C2×C4⋊C4—24no—
319C2×C4⋊C4—24no—
320C2×C4⋊C4—21no—
321C2×C4⋊C4—21no—
322C2×C4⋊C4—21no—
323C2×C4⋊C4—42no—
324C2×C4⋊C4—44no—
325C2×C4⋊C4—44no—
326C2×C4⋊C4—44no—
327C2×C4⋊C4C2×D414yes—
328C2×C4⋊C4C2×D414yes—
329C2×C4⋊C4C2×D414yes—
330C2×C4⋊C4C2412yes—
331C2×C4⋊C4C2412yes—
332C2×C4⋊C4C2412yes—
333C2×C4⋊C4C2412yes—
334C2×C22⋊C4—28no—
335C2×C22⋊C4—24no—
336C2×C22⋊C4—24no—
337C2×C22⋊C4—24no—
338C2×C22⋊C4—24no—
339C2×C22⋊C4—24no—
340C2×C22⋊C4—24no—
341C2×C22⋊C4—24no—
342C2×C22⋊C4—24no—
343C2×C22⋊C4—24no—
344C2×C22⋊C4—24no—
345C2×C22⋊C4—24no—
346C2×C22⋊C4—44no—
347C2×C22⋊C4—44no—
348C2×C22⋊C4—44no—
349C2×C22⋊C4—44no—
350C2×C22⋊C4—44no—
351C2×C22⋊C4—44no—
352C2×C22⋊C4—44no—
353C2×C22⋊C4—44no—
354C2×C22⋊C4—82no—
355C2×C22⋊C4—82no—
356C2×C42—22no—
357C2×C42—22no—
358C2×C42—22no—
359C2×C42—22no—
360C2×C42—24no—
361C2×C42—24no—
362C2×C42—24no—
363C2×C42—44no—
364C2×C42—82no—
365C2×C42—82no—
366C2×C42C2×D412yes—
367C2×C42C2×D412yes—
368C2×C42C2×D412yes—
369C2×C42C2×D414yes—
370C2×C42#4114yes—
371C2×C42C2412yes—
372C2×C42C2412yes—
373C2×C42C2412yes—
374#106—28no—
375C4⋊C8—28no—
376C4⋊C8—44no—
377C4⋊C8—44no—
378#103—28no—
379#103—28no—
380#103—28no—
381#103—44no—
382#103—44no—
383#103—44no—
384#102—28no—
385#102—28no—
386#102—28no—
387#102—44no—
388C4×C8—28no—
389#95—24no—
390#95—24no—
391#95—24no—
392#95—24no—
393#95—24no—
394#95—24no—
395#95C2×D414yes—
396#95C2×D414yes—
397C24—24no—
398C24—22no—
399C24—22no—
400C24—42no—
401C24—42no—
402C24—42no—
403C24—42no—
404C24—42no—
405C24—42no—
406C24—42no—
407C24—42no—
408C24—42no—
409C24—42no—
410C24—42no—
411C24—42no—
412C24—42no—
413C24C22×D411yescharacteristic
414C2×Q8—24no—
415C2×Q8—22no—
416C2×Q8—28no—
417C2×Q8—28no—
418C2×Q8—22no—
419C2×Q8—22no—
420C2×Q8—22no—
421C2×Q8—22no—
422C2×Q8—22no—
423C2×Q8—22no—
424C2×Q8—22no—
425C2×Q8—22no—
426C2×Q8—22no—
427C2×Q8—22no—
428C2×Q8—42no—
429C2×Q8—42no—
430C2×Q8—44no—
431C2×Q8—42no—
432C2×Q8—42no—
433C2×Q8—42no—
434C2×Q8—44no—
435C2×Q8—44no—
436C2×Q8—44no—
437C2×Q8—44no—
438C2×Q8—44no—
439C2×Q8C2×#4114yes—
440C2×D4—24no—
441C2×D4—28no—
442C2×D4—28no—
443C2×D4—22no—
444C2×D4—22no—
445C2×D4—22no—
446C2×D4—22no—
447C2×D4—22no—
448C2×D4—22no—
449C2×D4—22no—
450C2×D4—22no—
451C2×D4—22no—
452C2×D4—22no—
453C2×D4—22no—
454C2×D4—42no—
455C2×D4—44no—
456C2×D4—44no—
457C2×D4—42no—
458C2×D4—42no—
459C2×D4—42no—
460C2×D4—42no—
461C2×D4—44no—
462C2×D4—44no—
463C2×D4—44no—
464C2×D4—44no—
465C2×D4C22×D414yes—
466C22×C4—22no—
467C22×C4—22no—
468C22×C4—22no—
469C22×C4—22no—
470C22×C4—22no—
471C22×C4—22no—
472C22×C4—24no—
473C22×C4—22no—
474C22×C4—22no—
475C22×C4—22no—
476C22×C4—24no—
477C22×C4—22no—
478C22×C4—22no—
479C22×C4—22no—
480C22×C4—22no—
481C22×C4—22no—
482C22×C4—22no—
483C22×C4—22no—
484C22×C4—22no—
485C22×C4—216no—
486C22×C4—22no—
487C22×C4—22no—
488C22×C4—22no—
489C22×C4—22no—
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—42no—
501C22×C4—42no—
502C22×C4—42no—
503C22×C4—42no—
504C22×C4—42no—
505C22×C4—42no—
506C22×C4—816no—
507C22×C4—84no—
508C22×C4—84no—
509C22×C4#12114yes—
510C22×C4#12114yes—
511C22×C4#13514yes—
512C22×C4C22×D412yes—
513C22×C4C22×D412yes—
514C22×C4C22×D412yes—
515C22×C4C22×D412yes—
516C22×C4C22×D412yes—
517C22×C4C22×D412yes—
518C22×C4C22×D411yescharacteristic
519C22×C4C22×D412yes—
520C22×C4C2×#4112yes—
521C22×C4C2×#4112yes—
522C22×C4C2×#4112yes—
523C22×C4H(5,𝔽2)12yes—
524C22×C4H(5,𝔽2)12yes—
525C22×C4C2511yescharacteristic
526SD16—232no—
527SD16—416no—
528D8—416no—
529C2×C8—28no—
530C2×C8—22no—
531C2×C8—22no—
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—44no—
542C2×C8—44no—
543C2×C8—44no—
544C2×C8C2×#4114yes—
545C4⋊C4—24no—
546C4⋊C4—28no—
547C4⋊C4—22no—
548C4⋊C4—22no—
549C4⋊C4—22no—
550C4⋊C4—22no—
551C4⋊C4—22no—
552C4⋊C4—22no—
553C4⋊C4—22no—
554C4⋊C4—44no—
555C4⋊C4—48no—
556C4⋊C4—48no—
557C4⋊C4—42no—
558C4⋊C4—48no—
559C4⋊C4—42no—
560C4⋊C4—42no—
561C4⋊C4C22×D414yes—
562C22⋊C4—216no—
563C22⋊C4—48no—
564C22⋊C4—48no—
565C22⋊C4—48no—
566C22⋊C4—48no—
567C22⋊C4—48no—
568C22⋊C4—48no—
569C22⋊C4—48no—
570C22⋊C4—48no—
571C22⋊C4—84no—
572C22⋊C4—84no—
573C42—24no—
574C42—24no—
575C42—22no—
576C42—22no—
577C42—22no—
578C42—22no—
579C42—48no—
580C42—84no—
581C42—84no—
582C42#12118yes—
583C42C22×D414yes—
584C42C2×#4114yes—
585C23—24no—
586C23—48no—
587C23—42no—
588C23—42no—
589C23—48no—
590C23—48no—
591C23—42no—
592C23—42no—
593C23—42no—
594C23—42no—
595C23—42no—
596C23—42no—
597C23—42no—
598C23—42no—
599C23—42no—
600C23—42no—
601C23—42no—
602C23—84no—
603C23—84no—
604C23—84no—
605C23—84no—
606C23—84no—
607C23—84no—
608C23—84no—
609C23—84no—
610C23—84no—
611C23—84no—
612C23—84no—
613C23C2×#12112yes—
614C23#54612yes—
615C23#55012yes—
616C23C2×#13512yes—
617C23#57512yes—
618C23#57712yes—
619C23#57712yes—
620C23C23×D411yescharacteristic
621Q8—24no—
622Q8—24no—
623Q8—48no—
624Q8—42no—
625Q8—42no—
626Q8—42no—
627Q8—42no—
628Q8—42no—
629Q8—42no—
630Q8—84no—
631D4—24no—
632D4—24no—
633D4—42no—
634D4—48no—
635D4—42no—
636D4—42no—
637D4—42no—
638D4—42no—
639D4—42no—
640D4—84no—
641C2×C4—22no—
642C2×C4—28no—
643C2×C4—28no—
644C2×C4—28no—
645C2×C4—22no—
646C2×C4—22no—
647C2×C4—22no—
648C2×C4—22no—
649C2×C4—22no—
650C2×C4—24no—
651C2×C4—22no—
652C2×C4—22no—
653C2×C4—22no—
654C2×C4—24no—
655C2×C4—22no—
656C2×C4—22no—
657C2×C4—22no—
658C2×C4—22no—
659C2×C4—22no—
660C2×C4—22no—
661C2×C4—42no—
662C2×C4—48no—
663C2×C4—42no—
664C2×C4—48no—
665C2×C4—44no—
666C2×C4—44no—
667C2×C4—44no—
668C2×C4—42no—
669C2×C4—42no—
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—816no—
683C2×C4—84no—
684C2×C4—84no—
685C2×C4—84no—
686C2×C4—84no—
687C2×C4C2×#12114yes—
688C2×C4C2×#12114yes—
689C2×C4C2×#12112yes—
690C2×C4#52514yes—
691C2×C4#53514yes—
692C2×C4#54612yes—
693C2×C4#55012yes—
694C2×C4#55314yes—
695C2×C4#55514yes—
696C2×C4C2×#13514yes—
697C2×C4C23×D411yescharacteristic
698C2×C4C22×#4111yescharacteristic
699C2×C4C22×#4111yescharacteristic
700C2×C4C22×#4111yescharacteristic
701C2×C4C2×H(5,𝔽2)11yescharacteristic
702C2×C4C2×H(5,𝔽2)11yescharacteristic
703C8—24no—
704C8—42no—
705C8—42no—
706C8—42no—
707C22—44no—
708C22—44no—
709C22—44no—
710C22—816no—
711C22—82no—
712C22—82no—
713C22—82no—
714C22—82no—
715C22—82no—
716C22—82no—
717C22—82no—
718C22—82no—
719C22—82no—
720C22—82no—
721C22—82no—
722C22—168no—
723C22#241414yes—
724C22#303514yes—
725C22#304214yes—
726C22#330114yes—
727C22#332614yes—
728C22#339414yes—
729C22#340114yes—
730C22C22×#12111yescharacteristic
731C22C2×#54611yescharacteristic
732C22C2×#55011yescharacteristic
733C22C22×#13511yescharacteristic
734C22C2×#57511yescharacteristic
735C22C2×#57711yescharacteristic
736C22C2×#57711yescharacteristic
737C4—24no—
738C4—24no—
739C4—24no—
740C4—44no—
741C4—44no—
742C4—42no—
743C4—42no—
744C4—42no—
745C4—82no—
746C4—82no—
747C4—82no—
748C4—82no—
749C4#241414yes—
750C4C2×#52511yescharacteristic
751C4C2×#53511yescharacteristic
752C4C2×#55311yescharacteristic
753C4C2×#55511yescharacteristic
754C2—84no—
755C2—162no—
756C2#2463618yesdirect product factor
757C2C2×#241411yescharacteristic
758C2C2×#303511yescharacteristic
759C2C2×#304211yescharacteristic
760C2C2×#330111yescharacteristic
761C2C2×#332611yescharacteristic
762C2C2×#339411yescharacteristic
763C2C2×#340111yescharacteristic
subgroupG/H
center, socleC24C22×D4
commutator, Frattini, cosocleC22×C4C25
prime radicalC23×D8C22
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C24 ◁ C2×C4×C4⋊C4 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
2. C22×C4×SD16C2semidirect
3. C2×#2545C2semidirect
4. C2×#2357C2semidirect
5. #24636C2direct (N × H)
6. C2×#2055C2semidirect
8. C2×#2013C2semidirect
10. C2×#1983C2semidirect
11. C2×#1981C2semidirect
12. C2×#1958C2semidirect
13. C2×#1939C2semidirect
14. C2×#1926C2semidirect
15. C2×#1927C2semidirect
16. C2×#1805C2semidirect
28. C2×C4×SD16C22semidirect
45. #2545C22semidirect
49. #2357C22semidirect
64. #2055C22semidirect
66. #2013C22semidirect
68. #1983C22semidirect
69. #1981C22semidirect
70. #1958C22semidirect
71. #1939C22semidirect
72. #1927C22semidirect
73. #1926C22semidirect
74. #1805C22semidirect
756. C2#24636direct (N × H)

Maximal subgroups

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

subgroupindex
C22×#4632
C22×C4×SD162
C2×#25452
C2×#23572
#246362
C2×#20552
C2×#20542
C2×#20132
C2×#20122
C2×#19832
C2×#19812
C2×#19582
C2×#19392
C2×#19262
C2×#19272
C2×#18052