Finite Group Databasebeta

← #364826

Subgroups — #364826

Order 512.

1876 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×#474C211yesmaximal, characteristic
2C2×C4×C4⋊Q8C211yesmaximal, characteristic, complemented
3C2×#1988C211yesmaximal, characteristic, complemented
4C2×#1802C211yesmaximal, characteristic
5C4×#390C211yesmaximal, characteristic
6#11219C212yesmaximal, complemented
7#11066C212yesmaximal
8#10931C212yesmaximal
9#10907C212yesmaximal, complemented
10#10849C211yesmaximal, characteristic, complemented
11#10832C211yesmaximal, characteristic, complemented
12C22×C4⋊Q8C2211yescharacteristic
13C22×C4×Q8—21no—
14C22×C4×D4C2211yescharacteristic
15C2×#474—24no—
16C2×#474—24no—
17C2×#474C418yescomplemented
18C22×#107C2212yes—
19C22×C4⋊C8C2211yescharacteristic
20C22×C4⋊C8C2211yescharacteristic
21C22×#102C2212yes—
22C22×#102C2212yes—
23C4×C4⋊Q8—24no—
24C4×C4⋊Q8—24no—
25C2×#391—21no—
26C2×#390C2211yescharacteristic
27C2×#390C2211yescharacteristic
28C2×#389—21no—
29C2×#389C2212yes—
30C2×#384C2211yescharacteristic
31C2×C4×C4⋊C4—21no—
32C2×C4×C4⋊C4C2211yescharacteristic
33C2×C4×C4⋊C4C2212yes—
34C2×C4×C22⋊C4—21no—
35C2×C4×C22⋊C4—21no—
36C2×C43C2211yescharacteristic
37#1988—24no—
38#1802—24no—
39C2×#340C2212yes—
40C2×#340C2212yes—
41C2×#340C2212yes—
42C2×#340C2212yes—
43C2×#340C2212yes—
44C2×#336C2212yes—
45C2×#336C2212yes—
46#1437—21no—
47#1437—21no—
48C4⋊#95C2211yescharacteristic
49C4⋊#95C2211yescharacteristic
50C23×Q8—21no—
51C23×D4C2311yescharacteristic
52C24×C4—21no—
53C23×C8C2312yes—
54C23×C8C2312yes—
55C2×C4⋊Q8—22no—
56C2×C4⋊Q8—22no—
57C2×C4⋊Q8—22no—
58C2×C4⋊Q8C2×C414yes—
59C2×C4⋊Q8D414yes—
60C2×C4⋊Q8D414yes—
61C2×C4×Q8—28no—
62C2×C4×Q8—44no—
63C2×C4×Q8—44no—
64C2×C4×D4—22no—
65C2×C4×D4—22no—
66C2×C4×D4—22no—
67C2×C4×D4—22no—
68C2×C4×D4—22no—
69C2×C4×D4C2×C414yes—
70C22×C4⋊C4—21no—
71C22×C4⋊C4—21no—
72C22×C4⋊C4—22no—
73C22×C4⋊C4—21no—
74C22×C4⋊C4C2311yescharacteristic
75C22×C4⋊C4C2312yes—
76C22×C4⋊C4C2311yescharacteristic
77C22×C4⋊C4C2311yescharacteristic
78C22×C4⋊C4C2312yes—
79C22×C22⋊C4—21no—
80C22×C22⋊C4—21no—
81C22×C22⋊C4—21no—
82C22×C22⋊C4—21no—
83C22×C22⋊C4—21no—
84C22×C42—22no—
85C22×C42—21no—
86C22×C42D411yescharacteristic
87C22×C42D411yescharacteristic
88C22×C42D411yescharacteristic
89C22×C42D411yescharacteristic
90C22×C42C2311yescharacteristic
91C22×C42C2311yescharacteristic
92C22×C42C2311yescharacteristic
93#474—232no—
94C2×#107—24no—
95C2×#107—24no—
96C2×#107C2×C418yes—
97C2×C4⋊C8—22no—
98C2×C4⋊C8—22no—
99C2×C4⋊C8—22no—
100C2×C4⋊C8—22no—
101C2×C4⋊C8—22no—
102C2×C4⋊C8C2×C414yes—
103C2×#102—24no—
104C2×#102—24no—
105C2×#102—24no—
106C2×#102—24no—
107C2×#102—42no—
108C2×#102C2×C418yes—
109#391—28no—
110#390—22no—
111#390—22no—
112#390—22no—
113#390Q814yescomplemented
114#389—28no—
115#389—24no—
116#389—24no—
117#384—22no—
118#384D414yes—
119C4×C4⋊C4—28no—
120C4×C4⋊C4—24no—
121C4×C4⋊C4—24no—
122C4×C4⋊C4—22no—
123C4×C4⋊C4—22no—
124C4×C22⋊C4—44no—
125C4×C22⋊C4—44no—
126C2×#95—22no—
127C2×#95—22no—
128C2×#95—21no—
129C2×#95—21no—
130C2×#95—21no—
131C2×#95—21no—
132C2×#95—21no—
133C43—22no—
134C43—22no—
135#340—24no—
136#340—24no—
137#340—24no—
138#340—24no—
139#340—42no—
140#336—24no—
141#336—42no—
142C25—21no—
143C22×Q8—24no—
144C22×Q8—24no—
145C22×Q8—24no—
146C22×Q8—42no—
147C22×Q8—42no—
148C22×Q8—42no—
149C22×Q8—42no—
150C22×D4—21no—
151C22×D4—21no—
152C22×D4—21no—
153C22×D4—21no—
154C22×D4—21no—
155C22×D4—21no—
156C22×D4—21no—
157C22×D4—21no—
158C22×D4—21no—
159C22×D4—21no—
160C22×D4—21no—
161C22×D4C22×C412yes—
162C22×D4C2×Q812yes—
163C22×D4#4112yes—
164C23×C4—22no—
165C23×C4—21no—
166C23×C4—21no—
167C23×C4—21no—
168C23×C4—22no—
169C23×C4—24no—
170C23×C4—42no—
171C23×C4—42no—
172C23×C4—42no—
173C23×C4—42no—
174C23×C4—42no—
175C23×C4—42no—
176C23×C4C2×D411yescharacteristic
177C23×C4C2×D411yescharacteristic
178C23×C4C2×D411yescharacteristic
179C23×C4C2×D411yescharacteristic
180C23×C4C2×D411yescharacteristic
181C23×C4C2×D411yescharacteristic
182C23×C4C2411yescharacteristic
183C22×C8—22no—
184C22×C8—22no—
185C22×C8—22no—
186C22×C8—22no—
187C22×C8—22no—
188C22×C8—22no—
189C22×C8—22no—
190C22×C8—22no—
191C22×C8—22no—
192C22×C8—22no—
193C22×C8—22no—
194C22×C8—22no—
195C22×C8—22no—
196C22×C8C22×C414yes—
197C4⋊Q8—28no—
198C4⋊Q8—28no—
199C4⋊Q8—28no—
200C4⋊Q8C22⋊C4116yescomplemented
201C4×Q8—432no—
202C4×D4—28no—
203C4×D4—28no—
204C4×D4—44no—
205C4×D4—44no—
206C2×C4⋊C4—24no—
207C2×C4⋊C4—24no—
208C2×C4⋊C4—24no—
209C2×C4⋊C4—22no—
210C2×C4⋊C4—22no—
211C2×C4⋊C4—22no—
212C2×C4⋊C4—21no—
213C2×C4⋊C4—21no—
214C2×C4⋊C4—21no—
215C2×C4⋊C4—21no—
216C2×C4⋊C4—21no—
217C2×C4⋊C4—21no—
218C2×C4⋊C4—22no—
219C2×C4⋊C4—21no—
220C2×C4⋊C4—21no—
221C2×C4⋊C4—22no—
222C2×C4⋊C4—21no—
223C2×C4⋊C4—22no—
224C2×C4⋊C4—22no—
225C2×C4⋊C4—21no—
226C2×C4⋊C4—21no—
227C2×C4⋊C4—21no—
228C2×C4⋊C4—28no—
229C2×C4⋊C4—24no—
230C2×C4⋊C4—24no—
231C2×C4⋊C4—22no—
232C2×C4⋊C4—21no—
233C2×C4⋊C4—21no—
234C2×C4⋊C4—21no—
235C2×C4⋊C4—42no—
236C2×C4⋊C4—42no—
237C2×C4⋊C4—44no—
238C2×C4⋊C4—44no—
239C2×C4⋊C4—42no—
240C2×C4⋊C4—42no—
241C2×C4⋊C4C22×C412yes—
242C2×C4⋊C4C22×C414yes—
243C2×C4⋊C4C2×D414yes—
244C2×C4⋊C4C2×D414yes—
245C2×C4⋊C4C2×D414yes—
246C2×C4⋊C4C2×Q812yes—
247C2×C4⋊C4#4112yes—
248C2×C22⋊C4—24no—
249C2×C22⋊C4—24no—
250C2×C22⋊C4—24no—
251C2×C22⋊C4—24no—
252C2×C22⋊C4—24no—
253C2×C22⋊C4—42no—
254C2×C22⋊C4—42no—
255C2×C22⋊C4—42no—
256C2×C22⋊C4—42no—
257C2×C22⋊C4—42no—
258C2×C22⋊C4—42no—
259C2×C22⋊C4—42no—
260C2×C22⋊C4—42no—
261C2×C22⋊C4—42no—
262C2×C22⋊C4—42no—
263C2×C42—22no—
264C2×C42—22no—
265C2×C42—22no—
266C2×C42—22no—
267C2×C42—22no—
268C2×C42—21no—
269C2×C42—21no—
270C2×C42—21no—
271C2×C42—21no—
272C2×C42—28no—
273C2×C42—22no—
274C2×C42—22no—
275C2×C42—22no—
276C2×C42—22no—
277C2×C42—21no—
278C2×C42—21no—
279C2×C42—21no—
280C2×C42—21no—
281C2×C42—21no—
282C2×C42—21no—
283C2×C42—41no—
284C2×C42—41no—
285C2×C42—44no—
286C2×C42—44no—
287C2×C42—42no—
288C2×C42—42no—
289C2×C42—42no—
290C2×C42D814yes—
291C2×C42C22×C412yes—
292C2×C42C2×D412yes—
293C2×C42C2×D412yes—
294C2×C42C2×D412yes—
295C2×C42C2×Q812yes—
296C2×C42#4112yes—
297C2×C42#4112yes—
298C2×C42#4112yes—
299#107—216no—
300C4⋊C8—28no—
301C4⋊C8—44no—
302#102—216no—
303#102—48no—
304#95—28no—
305#95—28no—
306#95—42no—
307#95—42no—
308#95—42no—
309#95—42no—
310#95—42no—
311C24—22no—
312C24—22no—
313C24—22no—
314C24—41no—
315C24—41no—
316C24—41no—
317C24—41no—
318C24—41no—
319C24—41no—
320C24—41no—
321C24—41no—
322C24—41no—
323C24—41no—
324C24—41no—
325C24—41no—
326C24C22×D411yescharacteristic
327C2×Q8—216no—
328C2×Q8—48no—
329C2×Q8—48no—
330C2×Q8—48no—
331C2×Q8—48no—
332C2×Q8—48no—
333C2×Q8—48no—
334C2×D4—22no—
335C2×D4—22no—
336C2×D4—22no—
337C2×D4—22no—
338C2×D4—22no—
339C2×D4—22no—
340C2×D4—22no—
341C2×D4—22no—
342C2×D4—22no—
343C2×D4—22no—
344C2×D4—22no—
345C2×D4—22no—
346C2×D4—22no—
347C2×D4—22no—
348C2×D4—22no—
349C2×D4—41no—
350C2×D4—41no—
351C2×D4—41no—
352C2×D4—41no—
353C2×D4—41no—
354C2×D4—41no—
355C2×D4—41no—
356C2×D4—41no—
357C2×D4—41no—
358C2×D4—41no—
359C2×D4—41no—
360C2×D4—41no—
361C2×D4C4×Q814yescomplemented
362C22×C4—21no—
363C22×C4—21no—
364C22×C4—21no—
365C22×C4—21no—
366C22×C4—21no—
367C22×C4—21no—
368C22×C4—21no—
369C22×C4—21no—
370C22×C4—24no—
371C22×C4—21no—
372C22×C4—21no—
373C22×C4—24no—
374C22×C4—21no—
375C22×C4—24no—
376C22×C4—21no—
377C22×C4—21no—
378C22×C4—21no—
379C22×C4—21no—
380C22×C4—21no—
381C22×C4—21no—
382C22×C4—21no—
383C22×C4—21no—
384C22×C4—21no—
385C22×C4—21no—
386C22×C4—21no—
387C22×C4—21no—
388C22×C4—21no—
389C22×C4—21no—
390C22×C4—21no—
391C22×C4—22no—
392C22×C4—24no—
393C22×C4—22no—
394C22×C4—22no—
395C22×C4—42no—
396C22×C4—42no—
397C22×C4—42no—
398C22×C4—42no—
399C22×C4—41no—
400C22×C4—41no—
401C22×C4—41no—
402C22×C4—41no—
403C22×C4—42no—
404C22×C4—41no—
405C22×C4—42no—
406C22×C4—41no—
407C22×C4—41no—
408C22×C4—41no—
409C22×C4—41no—
410C22×C4—42no—
411C22×C4—41no—
412C22×C4—41no—
413C22×C4—41no—
414C22×C4—41no—
415C22×C4—42no—
416C22×C4—41no—
417C22×C4—41no—
418C22×C4—41no—
419C22×C4—41no—
420C22×C4—41no—
421C22×C4—42no—
422C22×C4—42no—
423C22×C4—48no—
424C22×C4—48no—
425C22×C4—48no—
426C22×C4—84no—
427C22×C4—84no—
428C22×C4—84no—
429C22×C4—84no—
430C22×C4C4×D412yes—
431C22×C4C4×D412yes—
432C22×C4#12012yes—
433C22×C4#12012yes—
434C22×C4#12112yes—
435C22×C4#12112yes—
436C22×C4C22⋊Q812yes—
437C22×C4C22⋊Q812yes—
438C22×C4C2×D812yes—
439C22×C4C2×D812yes—
440C22×C4C2×D812yes—
441C22×C4#13512yes—
442C22×C4AGL(1,ℤ/8)12yes—
443C22×C4AGL(1,ℤ/8)12yes—
444C22×C4#13712yes—
445C22×C4#13712yes—
446C22×C4C23×C411yescharacteristic
447C22×C4C22×D411yescharacteristic
448C22×C4C22×D411yescharacteristic
449C22×C4C22×D411yescharacteristic
450C22×C4C22×Q811yescharacteristic
451C22×C4C2×#4111yescharacteristic
452C22×C4C2×#4111yescharacteristic
453C22×C4C2×#4111yescharacteristic
454C22×C4C2×#4111yescharacteristic
455C22×C4C2×#4111yescharacteristic
456C22×C4H(5,𝔽2)11yescharacteristic
457C22×C42−1+411yescharacteristic
458C22×C42−1+411yescharacteristic
459C22×C42−1+411yescharacteristic
460C2×C8—24no—
461C2×C8—24no—
462C2×C8—24no—
463C2×C8—42no—
464C2×C8—42no—
465C2×C8—42no—
466C2×C8—42no—
467C2×C8—42no—
468C2×C8—42no—
469C2×C8—42no—
470C2×C8—42no—
471C2×C8—42no—
472C2×C8—42no—
473C2×C8—42no—
474C4⋊C4—24no—
475C4⋊C4—24no—
476C4⋊C4—24no—
477C4⋊C4—216no—
478C4⋊C4—22no—
479C4⋊C4—22no—
480C4⋊C4—24no—
481C4⋊C4—24no—
482C4⋊C4—22no—
483C4⋊C4—22no—
484C4⋊C4—22no—
485C4⋊C4—22no—
486C4⋊C4—48no—
487C4⋊C4—416no—
488C4⋊C4—41no—
489C4⋊C4—41no—
490C4⋊C4—42no—
491C4⋊C4—41no—
492C4⋊C4—42no—
493C4⋊C4—41no—
494C4⋊C4—41no—
495C4⋊C4—41no—
496C4⋊C4—48no—
497C4⋊C4C2×C22⋊C418yes—
498C22⋊C4—48no—
499C22⋊C4—48no—
500C22⋊C4—48no—
501C22⋊C4—48no—
502C22⋊C4—48no—
503C42—28no—
504C42—22no—
505C42—22no—
506C42—22no—
507C42—22no—
508C42—28no—
509C42—44no—
510C42—416no—
511C42—41no—
512C42—41no—
513C42—41no—
514C42—41no—
515C42—44no—
516C42—84no—
517C42C2×C22⋊C414yes—
518C42C4×D414yes—
519C42#12114yes—
520C42#12314yes—
521C23—24no—
522C23—42no—
523C23—42no—
524C23—42no—
525C23—42no—
526C23—42no—
527C23—42no—
528C23—42no—
529C23—42no—
530C23—42no—
531C23—42no—
532C23—42no—
533C23—42no—
534C23—42no—
535C23—42no—
536C23—42no—
537C23—42no—
538C23—42no—
539C23—42no—
540C23—81no—
541C23—81no—
542C23—81no—
543C23—81no—
544C23—81no—
545C23—81no—
546C23—81no—
547C23—81no—
548C23—81no—
549C23—81no—
550C23—81no—
551C23—81no—
552C23—81no—
553C23—81no—
554C23—81no—
555C23—81no—
556C23C2×C4×D411yescharacteristic
557C23C2×#12011yescharacteristic
558C23C2×#12111yescharacteristic
559C23C2×C22⋊Q811yescharacteristic
560C23#52511yescharacteristic
561C23#53611yescharacteristic
562C23#53711yescharacteristic
563C23C22×D811yescharacteristic
564C23C2×#13511yescharacteristic
565C23C2×AGL(1,ℤ/8)11yescharacteristic
566C23C2×AGL(1,ℤ/8)11yescharacteristic
567C23C2×#13711yescharacteristic
568C23C2×#13711yescharacteristic
569C23#57511yescharacteristic
570C23#57511yescharacteristic
571Q8—432no—
572D4—24no—
573D4—24no—
574D4—42no—
575D4—42no—
576D4—42no—
577D4—42no—
578D4—42no—
579D4—42no—
580C2×C4—22no—
581C2×C4—22no—
582C2×C4—22no—
583C2×C4—22no—
584C2×C4—22no—
585C2×C4—22no—
586C2×C4—22no—
587C2×C4—22no—
588C2×C4—22no—
589C2×C4—22no—
590C2×C4—22no—
591C2×C4—22no—
592C2×C4—22no—
593C2×C4—22no—
594C2×C4—22no—
595C2×C4—22no—
596C2×C4—22no—
597C2×C4—22no—
598C2×C4—22no—
599C2×C4—22no—
600C2×C4—22no—
601C2×C4—28no—
602C2×C4—41no—
603C2×C4—41no—
604C2×C4—41no—
605C2×C4—41no—
606C2×C4—44no—
607C2×C4—44no—
608C2×C4—41no—
609C2×C4—41no—
610C2×C4—41no—
611C2×C4—44no—
612C2×C4—41no—
613C2×C4—41no—
614C2×C4—41no—
615C2×C4—44no—
616C2×C4—41no—
617C2×C4—41no—
618C2×C4—44no—
619C2×C4—44no—
620C2×C4—42no—
621C2×C4—42no—
622C2×C4—42no—
623C2×C4—44no—
624C2×C4—42no—
625C2×C4—42no—
626C2×C4—44no—
627C2×C4—44no—
628C2×C4—42no—
629C2×C4—42no—
630C2×C4—42no—
631C2×C4—42no—
632C2×C4—82no—
633C2×C4—82no—
634C2×C4—81no—
635C2×C4—81no—
636C2×C4—82no—
637C2×C4—81no—
638C2×C4—82no—
639C2×C4—81no—
640C2×C4—81no—
641C2×C4—81no—
642C2×C4—81no—
643C2×C4—81no—
644C2×C4—81no—
645C2×C4—81no—
646C2×C4—81no—
647C2×C4—81no—
648C2×C4—816no—
649C2×C4#38614yes—
650C2×C4#38614yes—
651C2×C4C4×D814yes—
652C2×C4#44214yes—
653C2×C4#44714yes—
654C2×C4#44914yes—
655C2×C4#45914yes—
656C2×C4#46314yes—
657C2×C4#47414yescomplemented
658C2×C4C22×C22⋊C411yescharacteristic
659C2×C4C2×C4×D411yescharacteristic
660C2×C4C2×C4×Q811yescharacteristic
661C2×C4C4×#4111yescharacteristic
662C2×C4#51911yescharacteristic
663C2×C4#52011yescharacteristic
664C2×C4C2×#12111yescharacteristic
665C2×C4C2×#12311yescharacteristic
666C2×C4#52911yescharacteristic
667C2×C4#53311yescharacteristic
668C2×C4#54111yescharacteristic
669C2×C4#54211yescharacteristic
670C2×C4#54611yescharacteristic
671C2×C4#54711yescharacteristic
672C2×C4#54811yescharacteristic
673C2×C4#54811yescharacteristic
674C2×C4#54811yescharacteristic
675C2×C4#54811yescharacteristic
676C2×C4#54811yescharacteristic
677C2×C4D4×Q811yescharacteristic
678C2×C4D4×Q811yescharacteristic
679C2×C4D4×Q811yescharacteristic
680C2×C4#55011yescharacteristic
681C2×C4#55011yescharacteristic
682C2×C4#55211yescharacteristic
683C2×C4#55211yescharacteristic
684C2×C4#55411yescharacteristic
685C2×C4#55611yescharacteristic
686C8—44no—
687C8—82no—
688C22—44no—
689C22—44no—
690C22—44no—
691C22—82no—
692C22—82no—
693C22—82no—
694C22—82no—
695C22—82no—
696C22—82no—
697C22—82no—
698C22—82no—
699C22—82no—
700C22—82no—
701C22—82no—
702C22—82no—
703C22C2×#38611yescharacteristic
704C22C4×C22⋊Q811yescharacteristic
705C22#232311yescharacteristic
706C22#240711yescharacteristic
707C22#240911yescharacteristic
708C22#253611yescharacteristic
709C22#253811yescharacteristic
710C22C2×C4×D811yescharacteristic
711C22C2×#44211yescharacteristic
712C22C4×#13711yescharacteristic
713C22C4×#13711yescharacteristic
714C22C2×#44711yescharacteristic
715C22C2×#44911yescharacteristic
716C22#300411yescharacteristic
717C22#300511yescharacteristic
718C22C2×#45911yescharacteristic
719C22C2×#46311yescharacteristic
720C22#303711yescharacteristic
721C22#303711yescharacteristic
722C22C2×#47411yescharacteristic
723C22#307611yescharacteristic
724C22#307711yescharacteristic
725C22#307911yescharacteristic
726C22#310011yescharacteristic
727C22#310711yescharacteristic
728C22#311011yescharacteristic
729C22#311511yescharacteristic
730C22#322611yescharacteristic
731C22#323311yescharacteristic
732C22#323511yescharacteristic
733C22#323911yescharacteristic
734C22#324511yescharacteristic
735C22#324811yescharacteristic
736C22#325111yescharacteristic
737C22#325411yescharacteristic
738C4—24no—
739C4—24no—
740C4—42no—
741C4—42no—
742C4—48no—
743C4—42no—
744C4—82no—
745C4—84no—
746C4—82no—
747C4—82no—
748C4#187918yes—
749C4Q8×C22⋊C411yescharacteristic
750C4#234111yescharacteristic
751C4#236011yescharacteristic
752C4#236211yescharacteristic
753C4#242111yescharacteristic
754C4#242311yescharacteristic
755C4#242611yescharacteristic
756C4#242911yescharacteristic
757C2—84no—
758C2#1396911yescharacteristic
759C2C2×#187911yescharacteristic
760C2#2092611yescharacteristic
761C2C4×#47411yescharacteristic
762C2#2161311yescharacteristic
763C2#2211011yescharacteristic
764C2#2211611yescharacteristic
765C2#2415011yescharacteristic
766C2#2415311yescharacteristic
767C2#2429811yescharacteristic
768C2#2430011yescharacteristic
769C2#2820111yescharacteristic
770C2#2820311yescharacteristic
771C2#2827911yescharacteristic
772C2#2828111yescharacteristic
subgroupG/H
center, socleC24C22×D4
commutatorC22×C4C23×C4
Frattini, cosocleC23×C4C24
prime radicalC23×D4C23
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C24 ◁ C2×C43 ◁ G
LECSG ▷ C23×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
2. C2×C4×C4⋊Q8C2semidirect
3. C2×#1988C2semidirect
6. #11219C2semidirect
9. #10907C2semidirect
10. #10849C2semidirect
11. #10832C2semidirect
17. C2×#474C4semidirect
113. #390Q8semidirect
200. C4⋊Q8C22⋊C4semidirect
361. C2×D4C4×Q8semidirect
657. C2×C4#474semidirect

Maximal subgroups

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

subgroupindex
C22×#4742
C2×C4×C4⋊Q82
C2×#19882
C2×#18022
C4×#3902
#112192
#110662
#109312
#109072
#108492
#108322