Finite Group Databasebeta

← C2×#28910 #6459953

Subgroups — C2×#28910 #6459953

Order 512.

2532 conjugacy classes of subgroups.

The subgroup lattice has 764 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#488C211yesmaximal, characteristic, complemented
2C22×#467C211yesmaximal, characteristic, complemented
3C2×#2489C211yesmaximal, characteristic, complemented
4C2×#2426C211yesmaximal, characteristic
5#28910C2116yesmaximal, direct product factor
6C2×#2059C211yesmaximal, characteristic, complemented
7C2×#2035C211yesmaximal, characteristic, complemented
8C2×#2015C211yesmaximal, characteristic, complemented
9C2×#2000C211yesmaximal, characteristic
10C2×#1968C211yesmaximal, characteristic, complemented
11C2×#1933C211yesmaximal, characteristic, complemented
12C2×#1925C211yesmaximal, characteristic, complemented
13C2×#1893C211yesmaximal, characteristic
14C2×#1878C211yesmaximal, characteristic, complemented
15C2×C4×#103C211yesmaximal, characteristic, complemented
16C2×C8×C22⋊C4C211yesmaximal, characteristic, complemented
17C23×Q16C2211yescharacteristic
18C23×SD16C2211yescharacteristic
19C24×C8C2211yescharacteristic
20C22×#125C2211yescharacteristic
21C22×#124C2211yescharacteristic
22C22×C22⋊Q8C2211yescharacteristic
23C22×C22⋊Q8C2211yescharacteristic
24C22×#121C2211yescharacteristic
25C22×C4×Q8C2211yescharacteristic
26C2×#488—28no—
27C2×#488C2218yescomplemented
28C2×#467—28no—
29C2×#467C2218yescomplemented
30C22×#107C2211yescharacteristic
31C22×#106C2211yescharacteristic
32C22×#103C2211yescharacteristic
33C22×#103C2211yescharacteristic
34C22×#103C2211yescharacteristic
35C22×#103C2211yescharacteristic
36C22×#103C2211yescharacteristic
37C22×#102C2211yescharacteristic
38C22×#102C2211yescharacteristic
39C22×#102C2211yescharacteristic
40C22×C22⋊C8C2211yescharacteristic
41C22×C4×C8C2211yescharacteristic
42C22×C4×C8C2211yescharacteristic
43#2489—24no—
44#2489C2218yescomplemented
45#2426—24no—
46#2426C2218yes—
47C2×#400—21no—
48C2×#397—21no—
49C2×#396—21no—
50C2×#394—21no—
51C2×#391C2211yescharacteristic
52C2×#391C2211yescharacteristic
53C2×#390—21no—
54C2×#390C2211yescharacteristic
55C2×#389C2211yescharacteristic
56C2×#388—21no—
57C2×#388—21no—
58C2×#382—21no—
59C2×#380C2211yescharacteristic
60C2×C4×C4⋊C4C2211yescharacteristic
61C2×C4×C22⋊C4C2211yescharacteristic
62#2059C2218yescomplemented
63#2035C2218yescomplemented
64#2015C2218yescomplemented
65#2000C2218yes—
66#1968C2218yescomplemented
67#1933C2218yescomplemented
68#1925C2218yescomplemented
69#1893C2218yes—
70#1878C2218yescomplemented
71C4×#103C2218yescomplemented
72C8×C22⋊C4C2218yescomplemented
73C2×#340C2211yescharacteristic
74C2×#340C2211yescharacteristic
75C2×#340C2211yescharacteristic
76C2×#340C2211yescharacteristic
77C2×#336C2211yescharacteristic
78C2×#336C2211yescharacteristic
79C23×Q8C2311yescharacteristic
80C23×Q8C2311yescharacteristic
81C23×D4—21no—
82C23×D4C2311yescharacteristic
83C24×C4C2311yescharacteristic
84C22×Q16—24no—
85C22×Q16—24no—
86C22×Q16—42no—
87C22×Q16C2314yes—
88C22×SD16—24no—
89C22×SD16—42no—
90C22×SD16—42no—
91C22×SD16C2314yes—
92C23×C8—24no—
93C23×C8—24no—
94C23×C8—42no—
95C23×C8C2311yescharacteristic
96C23×C8C2314yes—
97C23×C8C2311yescharacteristic
98C23×C8C2311yescharacteristic
99C23×C8C2311yescharacteristic
100C2×#125—24no—
101C2×#125—22no—
102C2×#125—42no—
103C2×#125C2314yes—
104C2×#124—24no—
105C2×#124—22no—
106C2×#124—42no—
107C2×#124C2314yes—
108C2×C22⋊Q8—22no—
109C2×C22⋊Q8—22no—
110C2×C22⋊Q8—24no—
111C2×C22⋊Q8—24no—
112C2×C22⋊Q8—42no—
113C2×C22⋊Q8—42no—
114C2×C22⋊Q8C2314yes—
115C2×C22⋊Q8C2314yes—
116C2×#121—22no—
117C2×#121—24no—
118C2×#121—42no—
119C2×#121C2314yes—
120C2×C4×Q8—22no—
121C2×C4×Q8—24no—
122C2×C4×Q8—42no—
123C2×C4×Q8C2314yes—
124C22×C4⋊C4—21no—
125C22×C4⋊C4—21no—
126C22×C4⋊C4—21no—
127C22×C4⋊C4—21no—
128C22×C4⋊C4—21no—
129C22×C4⋊C4—21no—
130C22×C4⋊C4C2311yescharacteristic
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⋊C4D411yescharacteristic
144C22×C22⋊C4D411yescharacteristic
145C22×C42—21no—
146C22×C42—21no—
147C22×C42C2311yescharacteristic
148C22×C42C2311yescharacteristic
149#488—232no—
150#467—232no—
151C2×#107—24no—
152C2×#107C2314yes—
153C2×#106—42no—
154C2×#106C2314yes—
155C2×#103—24no—
156C2×#103—24no—
157C2×#103—24no—
158C2×#103—24no—
159C2×#103D418yescomplemented
160C2×#103C2314yes—
161C2×#103C2314yes—
162C2×#103C2314yes—
163C2×#103C2314yes—
164C2×#103C2314yes—
165C2×#102—24no—
166C2×#102—24no—
167C2×#102—24no—
168C2×#102C2314yes—
169C2×#102C2314yes—
170C2×#102C2314yes—
171C2×C22⋊C8—24no—
172C2×C22⋊C8C2314yes—
173C2×C4×C8—24no—
174C2×C4×C8—42no—
175C2×C4×C8C2314yes—
176C2×C4×C8C2314yes—
177#400—28no—
178#397—28no—
179#396—28no—
180#394—28no—
181#391—22no—
182#391—22no—
183#391C2314yes—
184#391C2314yes—
185#390—28no—
186#390—22no—
187#390C2314yes—
188#389—22no—
189#389C2314yes—
190#388—28no—
191#388—28no—
192#382—28no—
193#380—22no—
194#380C2314yes—
195C4×C4⋊C4—22no—
196C4×C4⋊C4C2314yes—
197C4×C22⋊C4D414yes—
198C4×C22⋊C4C2314yes—
199C2×#95—21no—
200C2×#95—21no—
201C2×#95—21no—
202C2×#95—21no—
203C2×#95—21no—
204C2×#95—21no—
205C2×#95—21no—
206C2×#95D411yescharacteristic
207C2×#95D411yescharacteristic
208#340C2314yes—
209#340C2314yes—
210#340C2314yes—
211#340C2314yes—
212#336C2314yes—
213#336C2314yes—
214C25—21no—
215C25C2×D411yescharacteristic
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×Q8C2×D414yes—
230C22×Q8C2412yes—
231C22×Q8C2412yes—
232C22×D4—24no—
233C22×D4—22no—
234C22×D4—21no—
235C22×D4—22no—
236C22×D4—22no—
237C22×D4—22no—
238C22×D4—22no—
239C22×D4—22no—
240C22×D4—44no—
241C22×D4—44no—
242C22×D4—82no—
243C22×D4C2412yes—
244C23×C4—21no—
245C23×C4—21no—
246C23×C4—21no—
247C23×C4—22no—
248C23×C4—22no—
249C23×C4—22no—
250C23×C4—22no—
251C23×C4—22no—
252C23×C4—22no—
253C23×C4—21no—
254C23×C4—21no—
255C23×C4—21no—
256C23×C4—21no—
257C23×C4C2×D412yes—
258C23×C4C2×D411yescharacteristic
259C23×C4C2×D411yescharacteristic
260C23×C4C2×D411yescharacteristic
261C23×C4C2×D411yescharacteristic
262C23×C4C2×D411yescharacteristic
263C23×C4C2412yes—
264C23×C4C2411yescharacteristic
265C2×Q16—28no—
266C2×Q16—28no—
267C2×Q16—44no—
268C2×Q16—416no—
269C2×SD16—28no—
270C2×SD16—44no—
271C2×SD16—44no—
272C2×SD16—416no—
273C22×C8—22no—
274C22×C8—22no—
275C22×C8—22no—
276C22×C8—22no—
277C22×C8—22no—
278C22×C8—22no—
279C22×C8—22no—
280C22×C8—22no—
281C22×C8—22no—
282C22×C8—28no—
283C22×C8—28no—
284C22×C8—44no—
285C22×C8—416no—
286C22×C8C2×D414yes—
287C22×C8#4114yes—
288C22×C8#4114yes—
289C22×C8C2412yes—
290C22×C8C2412yes—
291C22×C8C2412yes—
292C22×C8C2412yes—
293#125—28no—
294#125—44no—
295#125—48no—
296#124—28no—
297#124—44no—
298#124—48no—
299C22⋊Q8—28no—
300C22⋊Q8—28no—
301C22⋊Q8—44no—
302C22⋊Q8—44no—
303C22⋊Q8—48no—
304C22⋊Q8—48no—
305#121—28no—
306#121—44no—
307#121—48no—
308C4×Q8—28no—
309C4×Q8—44no—
310C4×Q8—48no—
311C2×C4⋊C4—21no—
312C2×C4⋊C4—21no—
313C2×C4⋊C4—22no—
314C2×C4⋊C4—22no—
315C2×C4⋊C4—22no—
316C2×C4⋊C4—22no—
317C2×C4⋊C4—22no—
318C2×C4⋊C4—22no—
319C2×C4⋊C4—22no—
320C2×C4⋊C4—22no—
321C2×C4⋊C4—24no—
322C2×C4⋊C4—24no—
323C2×C4⋊C4—24no—
324C2×C4⋊C4—24no—
325C2×C4⋊C4—24no—
326C2×C4⋊C4—21no—
327C2×C4⋊C4—21no—
328C2×C4⋊C4—21no—
329C2×C4⋊C4—24no—
330C2×C4⋊C4—44no—
331C2×C4⋊C4—44no—
332C2×C4⋊C4—44no—
333C2×C4⋊C4—44no—
334C2×C4⋊C4—44no—
335C2×C4⋊C4—82no—
336C2×C4⋊C4C2×D414yes—
337C2×C4⋊C4#4114yes—
338C2×C4⋊C4C2412yes—
339C2×C4⋊C4C2412yes—
340C2×C4⋊C4C2412yes—
341C2×C4⋊C4C2412yes—
342C2×C4⋊C4C2412yes—
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×C22⋊C4—44no—
360C2×C22⋊C4—82no—
361C2×C22⋊C4C2×D414yes—
362C2×C22⋊C4C2×D414yes—
363C2×C42—22no—
364C2×C42—22no—
365C2×C42—22no—
366C2×C42—22no—
367C2×C42—24no—
368C2×C42—24no—
369C2×C42—44no—
370C2×C42—44no—
371C2×C42C2×D412yes—
372C2×C42C2×D412yes—
373C2×C42C2412yes—
374C2×C42C2412yes—
375#107—28no—
376#106—44no—
377#103—28no—
378#103—28no—
379#103—28no—
380#103—28no—
381#103C2×D4116yescomplemented
382#102—28no—
383#102—28no—
384#102—28no—
385C22⋊C8—28no—
386C4×C8—28no—
387C4×C8—44no—
388#95—24no—
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—22no—
398C24—22no—
399C24—22no—
400C24—22no—
401C24—22no—
402C24—22no—
403C24—22no—
404C24—42no—
405C24—42no—
406C24—42no—
407C24—42no—
408C24—42no—
409C24—42no—
410C24—42no—
411C24#13514yes—
412C24C22×D412yes—
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×Q8C22×D414yes—
440C2×D4—22no—
441C2×D4—22no—
442C2×D4—22no—
443C2×D4—22no—
444C2×D4—22no—
445C2×D4—22no—
446C2×D4—48no—
447C2×D4—48no—
448C2×D4—44no—
449C2×D4—42no—
450C2×D4—44no—
451C2×D4—42no—
452C2×D4—44no—
453C2×D4—42no—
454C2×D4—44no—
455C2×D4—84no—
456C2×D4—816no—
457C22×C4—22no—
458C22×C4—22no—
459C22×C4—22no—
460C22×C4—22no—
461C22×C4—22no—
462C22×C4—24no—
463C22×C4—24no—
464C22×C4—22no—
465C22×C4—22no—
466C22×C4—24no—
467C22×C4—22no—
468C22×C4—22no—
469C22×C4—22no—
470C22×C4—22no—
471C22×C4—22no—
472C22×C4—22no—
473C22×C4—22no—
474C22×C4—22no—
475C22×C4—22no—
476C22×C4—22no—
477C22×C4—24no—
478C22×C4—24no—
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—42no—
491C22×C4—42no—
492C22×C4—42no—
493C22×C4—42no—
494C22×C4—42no—
495C22×C4—42no—
496C22×C4—44no—
497C22×C4—44no—
498C22×C4—44no—
499C22×C4—44no—
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#13514yes—
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
526Q16—416no—
527SD16—416no—
528C2×C8—28no—
529C2×C8—28no—
530C2×C8—28no—
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—416no—
541C2×C8—44no—
542C2×C8C22×D414yes—
543C2×C8C2×#4114yes—
544C2×C8C2×#4114yes—
545C4⋊C4—24no—
546C4⋊C4—24no—
547C4⋊C4—22no—
548C4⋊C4—22no—
549C4⋊C4—22no—
550C4⋊C4—22no—
551C4⋊C4—22no—
552C4⋊C4—22no—
553C4⋊C4—22no—
554C4⋊C4—22no—
555C4⋊C4—48no—
556C4⋊C4—48no—
557C4⋊C4—48no—
558C4⋊C4—48no—
559C4⋊C4—48no—
560C4⋊C4—42no—
561C4⋊C4—42no—
562C4⋊C4—42no—
563C4⋊C4—84no—
564C4⋊C4C22×D414yes—
565C4⋊C4C2×#4114yes—
566C22⋊C4—28no—
567C22⋊C4—28no—
568C22⋊C4—48no—
569C22⋊C4—48no—
570C22⋊C4—48no—
571C22⋊C4—48no—
572C22⋊C4—48no—
573C22⋊C4—48no—
574C22⋊C4—48no—
575C22⋊C4—84no—
576C42—24no—
577C42—24no—
578C42—22no—
579C42—22no—
580C42—22no—
581C42—22no—
582C42—48no—
583C42—48no—
584C23—28no—
585C23—22no—
586C23—22no—
587C23—22no—
588C23—28no—
589C23—28no—
590C23—22no—
591C23—22no—
592C23—22no—
593C23—44no—
594C23—44no—
595C23—44no—
596C23—44no—
597C23—42no—
598C23—42no—
599C23—42no—
600C23—42no—
601C23—42no—
602C23—42no—
603C23—42no—
604C23—84no—
605C23—84no—
606C23—84no—
607C23—84no—
608C23—84no—
609C23—84no—
610C23—84no—
611C23#53212yes—
612C23D4212yes—
613C23#54612yes—
614C23C2×#13514yes—
615C23C2×#13512yes—
616C23C2×#13512yes—
617C23#57712yes—
618C23#57812yes—
619C23C23×D411yescharacteristic
620Q8—24no—
621Q8—24no—
622Q8—42no—
623Q8—42no—
624Q8—48no—
625Q8—42no—
626Q8—42no—
627Q8—42no—
628Q8—42no—
629Q8—84no—
630D4—42no—
631D4—42no—
632D4—42no—
633D4—42no—
634D4—816no—
635D4—84no—
636C2×C4—22no—
637C2×C4—28no—
638C2×C4—22no—
639C2×C4—22no—
640C2×C4—22no—
641C2×C4—22no—
642C2×C4—24no—
643C2×C4—24no—
644C2×C4—22no—
645C2×C4—22no—
646C2×C4—24no—
647C2×C4—22no—
648C2×C4—22no—
649C2×C4—22no—
650C2×C4—22no—
651C2×C4—22no—
652C2×C4—22no—
653C2×C4—22no—
654C2×C4—42no—
655C2×C4—42no—
656C2×C4—44no—
657C2×C4—48no—
658C2×C4—44no—
659C2×C4—44no—
660C2×C4—48no—
661C2×C4—42no—
662C2×C4—42no—
663C2×C4—44no—
664C2×C4—48no—
665C2×C4—42no—
666C2×C4—42no—
667C2×C4—42no—
668C2×C4—42no—
669C2×C4—42no—
670C2×C4—42no—
671C2×C4—48no—
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—42no—
683C2×C4—42no—
684C2×C4—84no—
685C2×C4—84no—
686C2×C4—84no—
687C2×C4—84no—
688C2×C4#53214yes—
689C2×C4#53212yes—
690C2×C4#53814yes—
691C2×C4D4212yes—
692C2×C4#54614yes—
693C2×C4#54612yes—
694C2×C4#55514yes—
695C2×C4C2×#13514yes—
696C2×C4C23×D411yescharacteristic
697C2×C4C22×#4111yescharacteristic
698C2×C4C22×#4111yescharacteristic
699C2×C4C22×#4111yescharacteristic
700C2×C4C2×H(5,𝔽2)11yescharacteristic
701C2×C4C2×H(5,𝔽2)11yescharacteristic
702C8—24no—
703C8—24no—
704C8—24no—
705C8—42no—
706C22—24no—
707C22—24no—
708C22—24no—
709C22—42no—
710C22—42no—
711C22—42no—
712C22—42no—
713C22—416no—
714C22—82no—
715C22—82no—
716C22—82no—
717C22—82no—
718C22—82no—
719C22—82no—
720C22—82no—
721C22—168no—
722C22#255514yes—
723C22#316814yes—
724C22#317814yes—
725C22#328414yes—
726C22#328514yes—
727C22#329614yes—
728C22#330014yes—
729C22C2×#53211yescharacteristic
730C22C2×D4211yescharacteristic
731C22C2×#54611yescharacteristic
732C22C22×#13511yescharacteristic
733C22C22×#13511yescharacteristic
734C22C2×#57711yescharacteristic
735C22C2×#57811yescharacteristic
736C4—24no—
737C4—42no—
738C4—44no—
739C4—42no—
740C4—44no—
741C4—42no—
742C4—42no—
743C4—44no—
744C4—82no—
745C4—82no—
746C4—82no—
747C4—82no—
748C4#255514yes—
749C4C2×#53211yescharacteristic
750C4C2×#53811yescharacteristic
751C4C2×#54611yescharacteristic
752C4C2×#55511yescharacteristic
753C2—44no—
754C2—162no—
755C2#2891018yesdirect product factor
756C2C2×#255511yescharacteristic
757C2C2×#316811yescharacteristic
758C2C2×#317811yescharacteristic
759C2C2×#328411yescharacteristic
760C2C2×#328511yescharacteristic
761C2C2×#329611yescharacteristic
762C2C2×#330011yescharacteristic
subgroupG/H
center, socleC24C22×D4
commutator, Frattini, cosocleC22×C4C25
prime radicalC22×#121C22
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×#488C2semidirect
2. C22×#467C2semidirect
3. C2×#2489C2semidirect
5. #28910C2direct (N × H)
6. C2×#2059C2semidirect
7. C2×#2035C2semidirect
8. C2×#2015C2semidirect
10. C2×#1968C2semidirect
11. C2×#1933C2semidirect
12. C2×#1925C2semidirect
14. C2×#1878C2semidirect
15. C2×C4×#103C2semidirect
16. C2×C8×C22⋊C4C2semidirect
27. C2×#488C22semidirect
29. C2×#467C22semidirect
44. #2489C22semidirect
62. #2059C22semidirect
63. #2035C22semidirect
64. #2015C22semidirect
66. #1968C22semidirect
67. #1933C22semidirect
68. #1925C22semidirect
70. #1878C22semidirect
71. C4×#103C22semidirect
72. C8×C22⋊C4C22semidirect
159. C2×#103D4semidirect
381. #103C2×D4semidirect
755. C2#28910direct (N × H)

Maximal subgroups

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

subgroupindex
C22×#4882
C22×#4672
C2×#24892
C2×#24262
#289102
C2×#20592
C2×#20352
C2×#20152
C2×#20002
C2×#19682
C2×#19332
C2×#19252
C2×#18932
C2×#18782
C2×C4×#1032
C2×C8×C22⋊C42