Finite Group Databasebeta

← C2×#24741 #6442816

Subgroups — C2×#24741 #6442816

Order 512.

2744 conjugacy classes of subgroups.

The subgroup lattice has 755 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#464C211yesmaximal, characteristic
2C22×#464C211yesmaximal, characteristic
3C22×#462C211yesmaximal, characteristic, complemented
4C22×#441C211yesmaximal, characteristic, complemented
5C2×#2545C211yesmaximal, characteristic
6C2×Q8×C4⋊C4C211yesmaximal, characteristic, complemented
7#24741C2116yesmaximal, direct product factor
8C2×#2066C211yesmaximal, characteristic, complemented
9C2×#2065C211yesmaximal, characteristic
10C2×#2043C211yesmaximal, characteristic, complemented
11C2×#2042C211yesmaximal, characteristic
12C2×#1959C211yesmaximal, characteristic
13C2×#1940C211yesmaximal, characteristic, complemented
14C2×#1880C211yesmaximal, characteristic
15C2×#1878C211yesmaximal, characteristic, complemented
16C2×#1803C211yesmaximal, characteristic, complemented
17C23×Q16C2211yescharacteristic
18C23×Q16C2211yescharacteristic
19C23×SD16C2211yescharacteristic
20C22×C4⋊Q8C2211yescharacteristic
21C22×#124C2211yescharacteristic
22C22×#124C2211yescharacteristic
23C22×C4×Q8C2211yescharacteristic
24C22×C4×Q8C2211yescharacteristic
25C22×C4×Q8C2211yescharacteristic
26C22×C4×Q8C2211yescharacteristic
27C2×#464—28no—
28C2×#464—28no—
29C2×#464C2218yes—
30C2×#464C2218yes—
31C2×#462—28no—
32C2×#462C2218yescomplemented
33C2×#441—28no—
34C2×#441C2218yescomplemented
35C22×#106C2211yescharacteristic
36C22×C4⋊C8C2211yescharacteristic
37C22×C4⋊C8C2211yescharacteristic
38C22×C4⋊C8C2211yescharacteristic
39C22×#103C2211yescharacteristic
40C22×#103C2211yescharacteristic
41C22×#103C2211yescharacteristic
42C22×#103C2211yescharacteristic
43C22×#103C2211yescharacteristic
44C22×#103C2211yescharacteristic
45C22×#103C2211yescharacteristic
46C22×#102C2211yescharacteristic
47C22×#102C2211yescharacteristic
48C22×#102C2211yescharacteristic
49C22×#97C2211yescharacteristic
50#2545—24no—
51#2545C2218yes—
52C2×#396—21no—
53C2×#396—21no—
54Q8×C4⋊C4—24no—
55Q8×C4⋊C4C2218yescomplemented
56C2×#391C2211yescharacteristic
57C2×#390C2211yescharacteristic
58C2×#389—21no—
59C2×#389—21no—
60C2×#389C2211yescharacteristic
61C2×#389C2211yescharacteristic
62C2×#388—21no—
63C2×#388—21no—
64C2×#384—21no—
65C2×#384C2211yescharacteristic
66C2×C4×C4⋊C4—21no—
67C2×C4×C4⋊C4C2211yescharacteristic
68#2066C2218yescomplemented
69#2065C2218yes—
70#2043C2218yescomplemented
71#2042C2218yes—
72#1959C2218yes—
73#1940C2218yescomplemented
74#1880C2218yes—
75#1878C2218yescomplemented
76#1803C2218yescomplemented
77C2×#340C2211yescharacteristic
78C2×#340C2211yescharacteristic
79C2×#336C2211yescharacteristic
80C2×#336C2211yescharacteristic
81C23×Q8C2311yescharacteristic
82C23×Q8C2311yescharacteristic
83C23×Q8C2311yescharacteristic
84C23×D4C2311yescharacteristic
85C22×Q16—24no—
86C22×Q16—24no—
87C22×Q16—24no—
88C22×Q16—24no—
89C22×Q16—24no—
90C22×Q16D418yes—
91C22×Q16C2314yes—
92C22×Q16C2314yes—
93C22×SD16—24no—
94C22×SD16—24no—
95C22×SD16—24no—
96C22×SD16C2314yes—
97C23×C8C2311yescharacteristic
98C23×C8C2311yescharacteristic
99C23×C8C2311yescharacteristic
100C23×C8C2311yescharacteristic
101C2×C4⋊Q8—24no—
102C2×C4⋊Q8—22no—
103C2×C4⋊Q8—42no—
104C2×C4⋊Q8C2314yes—
105C2×#124—24no—
106C2×#124—22no—
107C2×#124—22no—
108C2×#124—24no—
109C2×#124—24no—
110C2×#124—42no—
111C2×#124C2314yes—
112C2×#124C2314yes—
113C2×C4×Q8—22no—
114C2×C4×Q8—22no—
115C2×C4×Q8—22no—
116C2×C4×Q8—22no—
117C2×C4×Q8—24no—
118C2×C4×Q8—24no—
119C2×C4×Q8—24no—
120C2×C4×Q8—24no—
121C2×C4×Q8—24no—
122C2×C4×Q8—42no—
123C2×C4×Q8—42no—
124C2×C4×Q8D418yes—
125C2×C4×Q8C2314yes—
126C2×C4×Q8C2314yes—
127C2×C4×Q8C2314yes—
128C2×C4×Q8C2314yes—
129C22×C4⋊C4—21no—
130C22×C4⋊C4—21no—
131C22×C4⋊C4—21no—
132C22×C4⋊C4—21no—
133C22×C4⋊C4—21no—
134C22×C4⋊C4—21no—
135C22×C4⋊C4—21no—
136C22×C4⋊C4—21no—
137C22×C4⋊C4—21no—
138C22×C4⋊C4—21no—
139C22×C4⋊C4D411yescharacteristic
140C22×C4⋊C4D411yescharacteristic
141C22×C4⋊C4C2311yescharacteristic
142C22×C4⋊C4C2311yescharacteristic
143C22×C4⋊C4C2311yescharacteristic
144C22×C4⋊C4C2311yescharacteristic
145C22×C22⋊C4—21no—
146C22×C22⋊C4—21no—
147C22×C22⋊C4—21no—
148C22×C22⋊C4—21no—
149C22×C22⋊C4—21no—
150C22×C22⋊C4—21no—
151C22×C42—21no—
152C22×C42—21no—
153C22×C42—21no—
154C22×C42—21no—
155C22×C42C2311yescharacteristic
156C22×C42C2311yescharacteristic
157C22×C42C2311yescharacteristic
158#464—232no—
159#464—232no—
160#462—232no—
161#441—232no—
162C2×#106—24no—
163C2×#106C2314yes—
164C2×C4⋊C8—24no—
165C2×C4⋊C8—24no—
166C2×C4⋊C8—24no—
167C2×C4⋊C8C2314yes—
168C2×C4⋊C8C2314yes—
169C2×C4⋊C8C2314yes—
170C2×#103—24no—
171C2×#103—24no—
172C2×#103—24no—
173C2×#103—24no—
174C2×#103—24no—
175C2×#103—24no—
176C2×#103—42no—
177C2×#103C2314yes—
178C2×#103C2314yes—
179C2×#103C2314yes—
180C2×#103C2314yes—
181C2×#103C2314yes—
182C2×#103C2314yes—
183C2×#103C2314yes—
184C2×#102—24no—
185C2×#102—24no—
186C2×#102—42no—
187C2×#102C2314yes—
188C2×#102C2314yes—
189C2×#102C2314yes—
190C2×#97—24no—
191C2×#97C2314yes—
192#396—28no—
193#396—28no—
194#391—22no—
195#391C2314yes—
196#390—22no—
197#390C2314yes—
198#389—22no—
199#389—22no—
200#389—28no—
201#389—28no—
202#389C2314yes—
203#389C2314yes—
204#388—28no—
205#388—28no—
206#384—28no—
207#384—22no—
208#384C2314yes—
209C4×C4⋊C4—28no—
210C4×C4⋊C4D414yes—
211C4×C4⋊C4C2314yes—
212C2×#95—21no—
213C2×#95—21no—
214C2×#95—21no—
215C2×#95—21no—
216C2×#95D411yescharacteristic
217C2×#95D411yescharacteristic
218#340C2314yes—
219#340C2314yes—
220#336C2314yes—
221#336C2314yes—
222C25—21no—
223C22×Q8—21no—
224C22×Q8—21no—
225C22×Q8—21no—
226C22×Q8—22no—
227C22×Q8—22no—
228C22×Q8—22no—
229C22×Q8—22no—
230C22×Q8—22no—
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×Q8C2×D414yes—
241C22×Q8C2×D414yes—
242C22×Q8C2×D414yes—
243C22×Q8#4114yes—
244C22×Q8C2412yes—
245C22×Q8C2412yes—
246C22×Q8C2412yes—
247C22×D4—22no—
248C22×D4—22no—
249C22×D4—21no—
250C22×D4—22no—
251C22×D4—22no—
252C22×D4—22no—
253C22×D4—22no—
254C22×D4C2412yes—
255C23×C4—21no—
256C23×C4—21no—
257C23×C4—21no—
258C23×C4—21no—
259C23×C4—21no—
260C23×C4—21no—
261C23×C4—21no—
262C23×C4C2×D411yescharacteristic
263C23×C4C2×D411yescharacteristic
264C23×C4C2×D411yescharacteristic
265C23×C4C2×D411yescharacteristic
266C23×C4C2×D411yescharacteristic
267C23×C4C2×D411yescharacteristic
268C23×C4C2411yescharacteristic
269C2×Q16—232no—
270C2×Q16—28no—
271C2×Q16—28no—
272C2×Q16—28no—
273C2×Q16—28no—
274C2×Q16—28no—
275C2×Q16—416no—
276C2×Q16C2×D4116yes—
277C2×SD16—28no—
278C2×SD16—28no—
279C2×SD16—28no—
280C2×SD16—416no—
281C22×C8—22no—
282C22×C8—22no—
283C22×C8—22no—
284C22×C8—22no—
285C22×C8—22no—
286C22×C8—22no—
287C22×C8—22no—
288C22×C8—22no—
289C22×C8—22no—
290C22×C8—22no—
291C22×C8—22no—
292C22×C8C2×D414yes—
293C22×C8C2412yes—
294C22×C8C2412yes—
295C22×C8C2412yes—
296C22×C8C2412yes—
297C4⋊Q8—28no—
298C4⋊Q8—44no—
299C4⋊Q8—48no—
300#124—28no—
301#124—28no—
302#124—28no—
303#124—44no—
304#124—48no—
305#124—48no—
306C4×Q8—216no—
307C4×Q8—28no—
308C4×Q8—28no—
309C4×Q8—28no—
310C4×Q8—28no—
311C4×Q8—28no—
312C4×Q8—44no—
313C4×Q8—44no—
314C4×Q8—48no—
315C4×Q8—48no—
316C4×Q8—48no—
317C4×Q8C2×D4116yes—
318C2×C4⋊C4—28no—
319C2×C4⋊C4—24no—
320C2×C4⋊C4—24no—
321C2×C4⋊C4—21no—
322C2×C4⋊C4—22no—
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—24no—
333C2×C4⋊C4—24no—
334C2×C4⋊C4—24no—
335C2×C4⋊C4—21no—
336C2×C4⋊C4—21no—
337C2×C4⋊C4—21no—
338C2×C4⋊C4—24no—
339C2×C4⋊C4—24no—
340C2×C4⋊C4—24no—
341C2×C4⋊C4—42no—
342C2×C4⋊C4—44no—
343C2×C4⋊C4—44no—
344C2×C4⋊C4—44no—
345C2×C4⋊C4—44no—
346C2×C4⋊C4—44no—
347C2×C4⋊C4—44no—
348C2×C4⋊C4—82no—
349C2×C4⋊C4—82no—
350C2×C4⋊C4—82no—
351C2×C4⋊C4C2×D414yes—
352C2×C4⋊C4C2×D414yes—
353C2×C4⋊C4C2×D414yes—
354C2×C4⋊C4C2412yes—
355C2×C4⋊C4C2412yes—
356C2×C4⋊C4C2412yes—
357C2×C4⋊C4C2412yes—
358C2×C22⋊C4—24no—
359C2×C22⋊C4—24no—
360C2×C22⋊C4—24no—
361C2×C22⋊C4—24no—
362C2×C22⋊C4—24no—
363C2×C22⋊C4—24no—
364C2×C22⋊C4—44no—
365C2×C22⋊C4—44no—
366C2×C22⋊C4—44no—
367C2×C22⋊C4—44no—
368C2×C22⋊C4—44no—
369C2×C22⋊C4—44no—
370C2×C42—28no—
371C2×C42—22no—
372C2×C42—22no—
373C2×C42—24no—
374C2×C42—22no—
375C2×C42—22no—
376C2×C42—24no—
377C2×C42—24no—
378C2×C42—24no—
379C2×C42—44no—
380C2×C42—44no—
381C2×C42—44no—
382C2×C42C2×D412yes—
383C2×C42C2×D412yes—
384C2×C42C2×D412yes—
385C2×C42C2×D414yes—
386C2×C42#4114yes—
387C2×C42C2412yes—
388C2×C42C2412yes—
389C2×C42C2412yes—
390#106—28no—
391C4⋊C8—28no—
392C4⋊C8—28no—
393C4⋊C8—28no—
394#103—28no—
395#103—28no—
396#103—28no—
397#103—28no—
398#103—28no—
399#103—28no—
400#103—44no—
401#102—28no—
402#102—28no—
403#102—44no—
404#97—28no—
405#95—24no—
406#95—24no—
407#95—24no—
408#95—24no—
409#95C2×D414yes—
410#95C2×D414yes—
411C24—22no—
412C24—42no—
413C24—42no—
414C24—42no—
415C24—42no—
416C24—42no—
417C24—42no—
418C24—42no—
419C24C22×D411yescharacteristic
420C2×Q8—24no—
421C2×Q8—28no—
422C2×Q8—24no—
423C2×Q8—24no—
424C2×Q8—28no—
425C2×Q8—24no—
426C2×Q8—28no—
427C2×Q8—22no—
428C2×Q8—22no—
429C2×Q8—22no—
430C2×Q8—22no—
431C2×Q8—28no—
432C2×Q8—28no—
433C2×Q8—22no—
434C2×Q8—22no—
435C2×Q8—22no—
436C2×Q8—22no—
437C2×Q8—22no—
438C2×Q8—22no—
439C2×Q8—22no—
440C2×Q8—22no—
441C2×Q8—22no—
442C2×Q8—22no—
443C2×Q8—42no—
444C2×Q8—42no—
445C2×Q8—44no—
446C2×Q8—42no—
447C2×Q8—42no—
448C2×Q8—42no—
449C2×Q8—44no—
450C2×Q8—44no—
451C2×Q8—44no—
452C2×Q8—44no—
453C2×Q8—44no—
454C2×Q8#121116yes—
455C2×Q8C22×D414yes—
456C2×Q8C22×D414yes—
457C2×Q8C22×D414yes—
458C2×Q8C2×#4114yes—
459C2×D4—22no—
460C2×D4—22no—
461C2×D4—22no—
462C2×D4—22no—
463C2×D4—22no—
464C2×D4—22no—
465C2×D4—44no—
466C2×D4—42no—
467C2×D4—44no—
468C2×D4—42no—
469C2×D4—44no—
470C2×D4—42no—
471C2×D4—44no—
472C22×C4—24no—
473C22×C4—22no—
474C22×C4—24no—
475C22×C4—24no—
476C22×C4—22no—
477C22×C4—22no—
478C22×C4—22no—
479C22×C4—22no—
480C22×C4—22no—
481C22×C4—22no—
482C22×C4—24no—
483C22×C4—22no—
484C22×C4—22no—
485C22×C4—22no—
486C22×C4—24no—
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—22no—
497C22×C4—22no—
498C22×C4—22no—
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—42no—
514C22×C4—42no—
515C22×C4#12114yes—
516C22×C4#12114yes—
517C22×C4#13714yes—
518C22×C4C22×D412yes—
519C22×C4C22×D412yes—
520C22×C4C22×D412yes—
521C22×C4C22×D412yes—
522C22×C4C22×D412yes—
523C22×C4C22×D412yes—
524C22×C4C22×D412yes—
525C22×C4C22×D411yescharacteristic
526C22×C4C22×D412yes—
527C22×C4C2×#4112yes—
528C22×C4C2×#4112yes—
529C22×C4H(5,𝔽2)12yes—
530C22×C42−1+412yes—
531C22×C4C2511yescharacteristic
532Q16—232no—
533Q16—416no—
534SD16—416no—
535C2×C8—28no—
536C2×C8—22no—
537C2×C8—22no—
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—44no—
548C2×C8—44no—
549C2×C8—44no—
550C2×C8C22×D414yes—
551C4⋊C4—216no—
552C4⋊C4—24no—
553C4⋊C4—28no—
554C4⋊C4—22no—
555C4⋊C4—22no—
556C4⋊C4—22no—
557C4⋊C4—22no—
558C4⋊C4—22no—
559C4⋊C4—22no—
560C4⋊C4—22no—
561C4⋊C4—44no—
562C4⋊C4—48no—
563C4⋊C4—48no—
564C4⋊C4—48no—
565C4⋊C4—48no—
566C4⋊C4—48no—
567C4⋊C4—42no—
568C4⋊C4—48no—
569C4⋊C4—42no—
570C4⋊C4—42no—
571C4⋊C4—84no—
572C4⋊C4—84no—
573C4⋊C4—84no—
574C4⋊C4C22×D414yes—
575C22⋊C4—48no—
576C22⋊C4—48no—
577C22⋊C4—48no—
578C22⋊C4—48no—
579C22⋊C4—48no—
580C22⋊C4—48no—
581C42—216no—
582C42—24no—
583C42—24no—
584C42—22no—
585C42—22no—
586C42—22no—
587C42—22no—
588C42—48no—
589C42—48no—
590C42—48no—
591C42#12118yes—
592C42C22×D414yes—
593C42C2×#4114yes—
594C23—42no—
595C23—42no—
596C23—42no—
597C23—42no—
598C23—42no—
599C23—42no—
600C23—42no—
601C23—84no—
602C23—84no—
603C23—84no—
604C23—84no—
605C23—84no—
606C23—84no—
607C23—84no—
608C23C2×#12112yes—
609C23D4212yes—
610C23#54812yes—
611C23C2×#13712yes—
612C23#57512yes—
613C23#57712yes—
614C23#57812yes—
615C23C23×D411yescharacteristic
616Q8—216no—
617Q8—24no—
618Q8—24no—
619Q8—24no—
620Q8—24no—
621Q8—24no—
622Q8—48no—
623Q8—42no—
624Q8—42no—
625Q8—42no—
626Q8—42no—
627Q8—42no—
628Q8—42no—
629Q8—84no—
630Q8C2×#12118yes—
631D4—42no—
632D4—42no—
633D4—42no—
634D4—42no—
635D4—84no—
636C2×C4—24no—
637C2×C4—216no—
638C2×C4—22no—
639C2×C4—24no—
640C2×C4—24no—
641C2×C4—28no—
642C2×C4—28no—
643C2×C4—28no—
644C2×C4—22no—
645C2×C4—22no—
646C2×C4—22no—
647C2×C4—22no—
648C2×C4—22no—
649C2×C4—24no—
650C2×C4—22no—
651C2×C4—22no—
652C2×C4—22no—
653C2×C4—24no—
654C2×C4—22no—
655C2×C4—22no—
656C2×C4—22no—
657C2×C4—22no—
658C2×C4—22no—
659C2×C4—22no—
660C2×C4—42no—
661C2×C4—48no—
662C2×C4—42no—
663C2×C4—44no—
664C2×C4—44no—
665C2×C4—44no—
666C2×C4—48no—
667C2×C4—42no—
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—84no—
682C2×C4—84no—
683C2×C4—84no—
684C2×C4—84no—
685C2×C4C2×#12114yes—
686C2×C4C2×#12114yes—
687C2×C4C2×#12114yes—
688C2×C4C2×#12112yes—
689C2×C4#53714yes—
690C2×C4D4212yes—
691C2×C4#54714yes—
692C2×C4#54812yes—
693C2×C4#55314yes—
694C2×C4C2×#13714yes—
695C2×C4C23×D411yescharacteristic
696C2×C4C23×D411yescharacteristic
697C2×C4C22×#4111yescharacteristic
698C2×C4C22×#4111yescharacteristic
699C2×C4C2×H(5,𝔽2)11yescharacteristic
700C2×C4C2×2−1+411yescharacteristic
701C8—24no—
702C8—42no—
703C8—42no—
704C8—42no—
705C22—82no—
706C22—82no—
707C22—82no—
708C22—82no—
709C22—82no—
710C22—82no—
711C22—82no—
712C22—168no—
713C22#241614yes—
714C22#303714yes—
715C22#304614yes—
716C22#327014yes—
717C22#327114yes—
718C22#336914yes—
719C22#337714yes—
720C22C22×#12111yescharacteristic
721C22C2×D4211yescharacteristic
722C22C2×#54811yescharacteristic
723C22C22×#13711yescharacteristic
724C22C2×#57511yescharacteristic
725C22C2×#57711yescharacteristic
726C22C2×#57811yescharacteristic
727C4—24no—
728C4—24no—
729C4—28no—
730C4—24no—
731C4—44no—
732C4—42no—
733C4—42no—
734C4—42no—
735C4—44no—
736C4—82no—
737C4—82no—
738C4—82no—
739C4—82no—
740C4#241614yes—
741C4C22×#12111yescharacteristic
742C4C2×#53711yescharacteristic
743C4C2×#54711yescharacteristic
744C4C2×#55311yescharacteristic
745C2—162no—
746C2#2474118yesdirect product factor
747C2C2×#241611yescharacteristic
748C2C2×#303711yescharacteristic
749C2C2×#304611yescharacteristic
750C2C2×#327011yescharacteristic
751C2C2×#327111yescharacteristic
752C2C2×#336911yescharacteristic
753C2C2×#337711yescharacteristic
subgroupG/H
center, socleC24C22×D4
commutator, Frattini, cosocleC22×C4C25
prime radicalC23×D4C23
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
3. C22×#462C2semidirect
4. C22×#441C2semidirect
6. C2×Q8×C4⋊C4C2semidirect
7. #24741C2direct (N × H)
8. C2×#2066C2semidirect
10. C2×#2043C2semidirect
13. C2×#1940C2semidirect
15. C2×#1878C2semidirect
16. C2×#1803C2semidirect
32. C2×#462C22semidirect
34. C2×#441C22semidirect
55. Q8×C4⋊C4C22semidirect
68. #2066C22semidirect
70. #2043C22semidirect
73. #1940C22semidirect
75. #1878C22semidirect
76. #1803C22semidirect
746. C2#24741direct (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×#4622
C22×#4412
C2×#25452
C2×Q8×C4⋊C42
#247412
C2×#20662
C2×#20652
C2×#20432
C2×#20422
C2×#19592
C2×#19402
C2×#18802
C2×#18782
C2×#18032