Finite Group Databasebeta

← #366948

Subgroups — #366948

Order 512.

1218 conjugacy classes of subgroups.

The subgroup lattice has 779 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3076C211yesmaximal, characteristic
2C2×#1986C211yesmaximal, characteristic, complemented
3#21301C211yesmaximal, characteristic, complemented
4C2×#1950C211yesmaximal, characteristic, complemented
5C2×#1806C211yesmaximal, characteristic
6C2×#1771C211yesmaximal, characteristic, complemented
7#20375C211yesmaximal, characteristic
8#11376C211yesmaximal, characteristic, complemented
9#11376C211yesmaximal, characteristic, complemented
10#11125C211yesmaximal, characteristic
11#11125C211yesmaximal, characteristic
12#10930C211yesmaximal, characteristic
13#10929C211yesmaximal, characteristic
14#10860C211yesmaximal, characteristic, complemented
15#10859C211yesmaximal, characteristic, complemented
16C2×#533C2211yescharacteristic
17C2×C4×#41C2211yescharacteristic
18#3076—24no—
19#3076—24no—
20C2×#479C411yescharacteristic, complemented
21C2×#479C411yescharacteristic, complemented
22C2×#477C411yescharacteristic, complemented
23C2×#475C411yescharacteristic, complemented
24C2×#478C411yescharacteristic, complemented
25C2×#478C411yescharacteristic, complemented
26C2×#476C411yescharacteristic, complemented
27C2×#474C411yescharacteristic, complemented
28C22×#108C2211yescharacteristic
29C22×#108C2211yescharacteristic
30C2×#427C2211yescharacteristic
31C2×#427C2211yescharacteristic
32C2×#423C2211yescharacteristic
33C22×C4⋊C8C2211yescharacteristic
34C22×#104C2211yescharacteristic
35C22×#104C2211yescharacteristic
36C2×#416C2211yescharacteristic
37C2×#416C2211yescharacteristic
38C2×#408C2211yescharacteristic
39C2×#408C2211yescharacteristic
40C2×C4×M16C2211yescharacteristic
41C22×#97C2211yescharacteristic
42C22×#97C2211yescharacteristic
43C22×C4×C8C2211yescharacteristic
44C2×C4×C4⋊C4C2211yescharacteristic
45#1986—24no—
46#1985—22no—
47#1985—22no—
48#1950—24no—
49#1806—24no—
50#1771—24no—
51#1750—22no—
52#1749—22no—
53C2×#341C2211yescharacteristic
54C2×#341C2211yescharacteristic
55C2×#339C2211yescharacteristic
56C2×#339C2211yescharacteristic
57C2×#339C2211yescharacteristic
58C2×#339C2211yescharacteristic
59C2×#339C2211yescharacteristic
60C2×#339C2211yescharacteristic
61#1729C2211yescharacteristic
62#1729C2211yescharacteristic
63#1729C2211yescharacteristic
64#1729C2211yescharacteristic
65#1729C2211yescharacteristic
66#1729C2211yescharacteristic
67C2×#336C2211yescharacteristic
68C2×#336C2211yescharacteristic
69C22×#41C2311yescharacteristic
70C22×M16C2311yescharacteristic
71C22×M16C2311yescharacteristic
72C22×M16C2311yescharacteristic
73C22×M16C2311yescharacteristic
74C23×C8C2311yescharacteristic
75C23×C8C2311yescharacteristic
76C23×C8C2311yescharacteristic
77C23×C8C2311yescharacteristic
78#533—22no—
79#533—22no—
80#533—22no—
81#533—22no—
82C2×C4⋊Q8C2×C411yescharacteristic
83C2×C4⋊Q8C2×C411yescharacteristic
84C2×#125C2×C411yescharacteristic
85C2×#125C2×C411yescharacteristic
86C2×C22⋊Q8—21no—
87C2×C22⋊Q8—21no—
88C4×#41—22no—
89C4×#41—22no—
90C4×#41—22no—
91C4×#41—22no—
92C2×C4×Q8—21no—
93C2×C4×Q8—21no—
94C2×C4×Q8C2×C411yescharacteristic
95C2×C4×Q8C2×C411yescharacteristic
96C2×C4×D4—21no—
97C2×C4×D4—21no—
98C2×C4×D4C2×C411yescharacteristic
99C2×C4×D4C2×C411yescharacteristic
100C2×#117—21no—
101C2×#117C2311yescharacteristic
102C2×#117C2311yescharacteristic
103C2×#117C2311yescharacteristic
104C22×C4⋊C4—21no—
105C22×C42—21no—
106C22×C42C2311yescharacteristic
107C22×C42C2311yescharacteristic
108C22×C42C2311yescharacteristic
109#479—24no—
110#479—24no—
111#478—24no—
112#478—24no—
113#477—24no—
114#476—24no—
115#475—24no—
116#474—24no—
117C2×#108—22no—
118C2×#108—22no—
119C2×#108—22no—
120C2×#108—22no—
121C2×#108—41no—
122C2×#108—41no—
123#427—22no—
124#427—22no—
125#427—22no—
126#427—22no—
127C2×#107C2×C411yescharacteristic
128C2×#107C2×C411yescharacteristic
129C2×#107C2×C411yescharacteristic
130C2×#107C2×C411yescharacteristic
131C2×#106C2×C411yescharacteristic
132C2×#106C2×C411yescharacteristic
133C2×#106C2×C411yescharacteristic
134C2×#106C2×C411yescharacteristic
135#423—22no—
136#423—22no—
137C2×C4⋊C8—21no—
138C2×C4⋊C8—21no—
139C2×C4⋊C8C2×C411yescharacteristic
140C2×C4⋊C8C2×C411yescharacteristic
141C2×C4⋊C8C2×C411yescharacteristic
142C2×C4⋊C8C2×C411yescharacteristic
143C2×C4⋊C8D414yes—
144C2×C4⋊C8D414yes—
145C2×#104—22no—
146C2×#104—22no—
147C2×#104—22no—
148C2×#104—22no—
149C2×#104—41no—
150C2×#104—41no—
151#416—22no—
152#416—22no—
153#416—22no—
154#416—22no—
155C2×#103C2×C411yescharacteristic
156C2×#103C2×C411yescharacteristic
157C2×#103C2×C411yescharacteristic
158C2×#103C2×C411yescharacteristic
159C2×#102C2×C411yescharacteristic
160C2×#102C2×C411yescharacteristic
161C2×#102C2×C411yescharacteristic
162C2×#102C2×C411yescharacteristic
163#408—22no—
164#408—22no—
165#408—22no—
166#408Q814yescomplemented
167C2×C22⋊C8—22no—
168C2×C22⋊C8—22no—
169C4×M16—22no—
170C4×M16—22no—
171C2×#97—22no—
172C2×#97—22no—
173C2×#97—22no—
174C2×#97—22no—
175C2×#97—21no—
176C2×#97—41no—
177C2×#97D412yes—
178C2×#97D412yes—
179C2×C4×C8—22no—
180C2×C4×C8—22no—
181C2×C4×C8—21no—
182C2×C4×C8—41no—
183C4×C4⋊C4—22no—
184C4×C4⋊C4D414yes—
185C2×#95—21no—
186#341—22no—
187#341—22no—
188#339—22no—
189#339—22no—
190#339—22no—
191#339—22no—
192#339—22no—
193#339—22no—
194#336—22no—
195#336—22no—
196#336—22no—
197#336—22no—
198#336—22no—
199#336—22no—
200#336—22no—
201#336—22no—
202C2×#41—21no—
203C2×#41—21no—
204C2×#41—21no—
205C2×#41—21no—
206C2×#41—21no—
207C2×#41—21no—
208C2×#41—21no—
209C2×#41—21no—
210C2×#41—21no—
211C2×#41—21no—
212C2×#41C2×Q812yes—
213C2×#41#4112yes—
214C22×Q8—21no—
215C22×Q8—21no—
216C22×Q8C22×C411yescharacteristic
217C22×D4—21no—
218C22×D4C22×C411yescharacteristic
219C23×C4—21no—
220C23×C4—21no—
221C23×C4—21no—
222C23×C4—21no—
223C23×C4—21no—
224C23×C4#4111yescharacteristic
225C23×C4#4111yescharacteristic
226C23×C4C2411yescharacteristic
227C2×M16—21no—
228C2×M16—21no—
229C2×M16—21no—
230C2×M16—21no—
231C2×M16—21no—
232C2×M16—21no—
233C2×M16—21no—
234C2×M16—21no—
235C2×M16—21no—
236C2×M16—21no—
237C2×M16—21no—
238C2×M16—21no—
239C2×M16—21no—
240C2×M16—21no—
241C2×M16—21no—
242C2×M16—21no—
243C2×M16—21no—
244C2×M16—21no—
245C2×M16—21no—
246C2×M16—21no—
247C2×M16—21no—
248C2×M16—21no—
249C2×M16C2×Q812yes—
250C2×M16#4112yes—
251C22×C8—21no—
252C22×C8—21no—
253C22×C8—21no—
254C22×C8—21no—
255C22×C8—21no—
256C22×C8—21no—
257C22×C8—21no—
258C22×C8—21no—
259C22×C8—21no—
260C22×C8—21no—
261C22×C8—21no—
262C22×C8—21no—
263C22×C8—21no—
264C22×C8—21no—
265C22×C8—21no—
266C22×C8—21no—
267C22×C8—21no—
268C22×C8—21no—
269C22×C8—21no—
270C22×C8—21no—
271C22×C8—21no—
272C22×C8—21no—
273C22×C8C22×C411yescharacteristic
274C22×C8C22×C411yescharacteristic
275C22×C8C22×C411yescharacteristic
276C22×C8C22×C411yescharacteristic
277C22×C8C2×D412yes—
278C22×C8C2×D412yes—
279C22×C8C2×D412yes—
280C22×C8C2×D412yes—
281C22×C8C2×D412yes—
282C22×C8C2×D412yes—
283C22×C8C2×Q812yes—
284C22×C8#4112yes—
285C4⋊Q8—22no—
286C4⋊Q8—22no—
287C4⋊Q8—22no—
288C4⋊Q8—22no—
289#125—22no—
290#125—22no—
291#125—22no—
292#125—22no—
293C22⋊Q8—42no—
294C22⋊Q8—42no—
295C22⋊Q8—42no—
296C22⋊Q8—42no—
297C4×Q8—22no—
298C4×Q8—22no—
299C4×Q8—22no—
300C4×Q8—22no—
301C4×Q8—42no—
302C4×Q8—42no—
303C4×Q8—42no—
304C4×Q8—42no—
305C4×D4—22no—
306C4×D4—22no—
307C4×D4—22no—
308C4×D4—22no—
309C4×D4—42no—
310C4×D4—42no—
311C4×D4—42no—
312C4×D4—42no—
313#117—21no—
314#117—21no—
315#117—21no—
316#117—21no—
317#117—21no—
318#117—21no—
319#117—21no—
320#117—21no—
321#117—21no—
322#117—21no—
323#117—21no—
324#117—21no—
325#117—42no—
326#117—42no—
327C2×C4⋊C4—21no—
328C2×C4⋊C4—21no—
329C2×C4⋊C4—21no—
330C2×C4⋊C4—21no—
331C2×C4⋊C4—21no—
332C2×C4⋊C4—21no—
333C2×C4⋊C4—21no—
334C2×C4⋊C4—21no—
335C2×C4⋊C4—24no—
336C2×C4⋊C4—44no—
337C2×C4⋊C4C22×C411yescharacteristic
338C2×C4⋊C4C22×C411yescharacteristic
339C2×C4⋊C4C22×C411yescharacteristic
340C2×C4⋊C4C22×C411yescharacteristic
341C2×C4⋊C4C22×C411yescharacteristic
342C2×C4⋊C4C22×C411yescharacteristic
343C2×C22⋊C4—21no—
344C2×C22⋊C4—21no—
345C2×C22⋊C4—21no—
346C2×C22⋊C4—21no—
347C2×C22⋊C4—21no—
348C2×C42—21no—
349C2×C42—21no—
350C2×C42—21no—
351C2×C42—21no—
352C2×C42—21no—
353C2×C42—21no—
354C2×C42—21no—
355C2×C42—21no—
356C2×C42—21no—
357C2×C42—21no—
358C2×C42—21no—
359C2×C42—21no—
360C2×C42—21no—
361C2×C42—21no—
362C2×C42—21no—
363C2×C42—42no—
364C2×C42—42no—
365C2×C42C22×C411yescharacteristic
366C2×C42C22×C411yescharacteristic
367C2×C42C2×D412yes—
368C2×C42C2×D412yes—
369C2×C42C2×D412yes—
370C2×C42C2×D412yes—
371C2×C42C2×D412yes—
372C2×C42C2×D411yescharacteristic
373C2×C42C2×D411yescharacteristic
374C2×C42#4112yes—
375#108—44no—
376#108—44no—
377#107—22no—
378#107—22no—
379#107—22no—
380#107—22no—
381#106—22no—
382#106—22no—
383#106—22no—
384#106—22no—
385C4⋊C8—42no—
386C4⋊C8—42no—
387C4⋊C8C22⋊C414yes—
388C4⋊C8C22⋊C414yes—
389C4⋊C8C22⋊C414yes—
390C4⋊C8C22⋊C414yes—
391#104—44no—
392#104—44no—
393#103—22no—
394#103—22no—
395#103—22no—
396#103—22no—
397#102—22no—
398#102—22no—
399#102—22no—
400#102—22no—
401C22⋊C8—28no—
402C22⋊C8—28no—
403#97—24no—
404#97—24no—
405#97—44no—
406#97—42no—
407C4×C8—44no—
408C4×C8—42no—
409#95—24no—
410C24—21no—
411C24C2×#4111yescharacteristic
412#41—22no—
413#41—22no—
414#41—22no—
415#41—22no—
416#41—22no—
417#41—22no—
418#41—22no—
419#41—22no—
420#41—41no—
421#41—41no—
422#41—41no—
423#41—41no—
424#41—41no—
425#41—41no—
426#41—41no—
427#41—41no—
428C2×Q8—21no—
429C2×Q8—21no—
430C2×Q8—21no—
431C2×Q8—21no—
432C2×Q8—21no—
433C2×Q8—42no—
434C2×Q8—42no—
435C2×Q8—82no—
436C2×Q8—82no—
437C2×Q8C4×Q812yes—
438C2×D4—22no—
439C2×D4—22no—
440C2×D4—21no—
441C2×D4—21no—
442C2×D4—21no—
443C2×D4—21no—
444C2×D4—21no—
445C2×D4—41no—
446C2×D4—41no—
447C2×D4—41no—
448C2×D4—41no—
449C2×D4C4×Q812yes—
450C22×C4—24no—
451C22×C4—21no—
452C22×C4—22no—
453C22×C4—22no—
454C22×C4—22no—
455C22×C4—21no—
456C22×C4—21no—
457C22×C4—21no—
458C22×C4—21no—
459C22×C4—21no—
460C22×C4—21no—
461C22×C4—22no—
462C22×C4—42no—
463C22×C4—42no—
464C22×C4—42no—
465C22×C4—41no—
466C22×C4—41no—
467C22×C4—41no—
468C22×C4—41no—
469C22×C4—41no—
470C22×C4—41no—
471C22×C4—42no—
472C22×C4—42no—
473C22×C4—41no—
474C22×C4—41no—
475C22×C4—42no—
476C22×C4—42no—
477C22×C4—82no—
478C22×C4—82no—
479C22×C4C4×D411yescharacteristic
480C22×C4C4×D411yescharacteristic
481C22×C4C4×D411yescharacteristic
482C22×C4C4×D411yescharacteristic
483C22×C4#12112yes—
484C22×C4#12112yes—
485C22×C4#12412yes—
486C22×C4#12412yes—
487C22×C4C23×C411yescharacteristic
488C22×C4C22×D411yescharacteristic
489C22×C4C22×D411yescharacteristic
490C22×C4C22×D411yescharacteristic
491C22×C4C22×D411yescharacteristic
492C22×C4C22×Q811yescharacteristic
493C22×C4C2×#4111yescharacteristic
494C22×C4C2×#4111yescharacteristic
495C22×C4C2×#4111yescharacteristic
496C22×C4C2×#4111yescharacteristic
497C22×C4H(5,𝔽2)11yescharacteristic
498C22×C42−1+411yescharacteristic
499C22×C42−1+411yescharacteristic
500C22×C42−1+411yescharacteristic
501M16—22no—
502M16—22no—
503M16—22no—
504M16—22no—
505M16—41no—
506M16—41no—
507M16—41no—
508M16—41no—
509M16—41no—
510M16—41no—
511M16—41no—
512M16—41no—
513M16—41no—
514M16—41no—
515M16—41no—
516M16—41no—
517C2×C8—21no—
518C2×C8—21no—
519C2×C8—21no—
520C2×C8—21no—
521C2×C8—21no—
522C2×C8—21no—
523C2×C8—21no—
524C2×C8—21no—
525C2×C8—22no—
526C2×C8—22no—
527C2×C8—22no—
528C2×C8—22no—
529C2×C8—22no—
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—22no—
542C2×C8—22no—
543C2×C8—22no—
544C2×C8—41no—
545C2×C8—41no—
546C2×C8—41no—
547C2×C8—41no—
548C2×C8—41no—
549C2×C8—41no—
550C2×C8—41no—
551C2×C8—41no—
552C2×C8—41no—
553C2×C8—41no—
554C2×C8—41no—
555C2×C8—41no—
556C2×C8—41no—
557C2×C8—41no—
558C2×C8C2×C22⋊C412yes—
559C2×C8C2×C22⋊C412yes—
560C2×C8C2×C22⋊C412yes—
561C2×C8C2×C22⋊C412yes—
562C2×C8C22⋊Q814yes—
563C4⋊C4—21no—
564C4⋊C4—21no—
565C4⋊C4—21no—
566C4⋊C4—21no—
567C4⋊C4—21no—
568C4⋊C4—21no—
569C4⋊C4—21no—
570C4⋊C4—21no—
571C4⋊C4—21no—
572C4⋊C4—21no—
573C4⋊C4—21no—
574C4⋊C4—21no—
575C4⋊C4—48no—
576C4⋊C4—42no—
577C4⋊C4—42no—
578C4⋊C4—42no—
579C4⋊C4—42no—
580C4⋊C4—42no—
581C4⋊C4—42no—
582C4⋊C4—42no—
583C4⋊C4—42no—
584C22⋊C4—41no—
585C22⋊C4—41no—
586C22⋊C4—41no—
587C22⋊C4—41no—
588C22⋊C4—41no—
589C22⋊C4—41no—
590C22⋊C4—42no—
591C22⋊C4—42no—
592C42—22no—
593C42—22no—
594C42—22no—
595C42—22no—
596C42—41no—
597C42—41no—
598C42—41no—
599C42—41no—
600C42—41no—
601C42—41no—
602C42—41no—
603C42—41no—
604C42—41no—
605C42—41no—
606C42—42no—
607C42—42no—
608C42C2×C22⋊C412yes—
609C42C2×C22⋊C412yes—
610C42C4×D412yes—
611C42C4×D412yes—
612C42#12112yes—
613C42#12112yes—
614C42#12712yes—
615C42#12712yes—
616C23—22no—
617C23—22no—
618C23—22no—
619C23—41no—
620C23—42no—
621C23—42no—
622C23—41no—
623C23C2×C4×D411yescharacteristic
624C23C2×#12111yescharacteristic
625C23C2×#12411yescharacteristic
626C23#52911yescharacteristic
627C23#53311yescharacteristic
628C23#54111yescharacteristic
629C23#54211yescharacteristic
630Q8—22no—
631Q8—22no—
632Q8—41no—
633Q8—41no—
634Q8—84no—
635Q8—84no—
636D4—22no—
637D4—22no—
638D4—42no—
639D4—42no—
640D4—42no—
641D4—42no—
642D4—41no—
643D4—41no—
644C2×C4—22no—
645C2×C4—22no—
646C2×C4—22no—
647C2×C4—22no—
648C2×C4—24no—
649C2×C4—22no—
650C2×C4—42no—
651C2×C4—42no—
652C2×C4—42no—
653C2×C4—42no—
654C2×C4—44no—
655C2×C4—44no—
656C2×C4—42no—
657C2×C4—41no—
658C2×C4—42no—
659C2×C4—41no—
660C2×C4—42no—
661C2×C4—42no—
662C2×C4—42no—
663C2×C4—42no—
664C2×C4—42no—
665C2×C4—42no—
666C2×C4—42no—
667C2×C4—42no—
668C2×C4—42no—
669C2×C4—42no—
670C2×C4—42no—
671C2×C4—42no—
672C2×C4—42no—
673C2×C4—41no—
674C2×C4—41no—
675C2×C4—41no—
676C2×C4—41no—
677C2×C4—41no—
678C2×C4—41no—
679C2×C4—84no—
680C2×C4—84no—
681C2×C4—82no—
682C2×C4—82no—
683C2×C4#39012yes—
684C2×C4#39012yes—
685C2×C4#39012yes—
686C2×C4#39012yes—
687C2×C4C22×C22⋊C411yescharacteristic
688C2×C4C2×C4×D411yescharacteristic
689C2×C4C2×C4×Q811yescharacteristic
690C2×C4C4×#4111yescharacteristic
691C2×C4#51911yescharacteristic
692C2×C4#52011yescharacteristic
693C2×C4C2×#12111yescharacteristic
694C2×C4C2×C22⋊Q811yescharacteristic
695C2×C4#52511yescharacteristic
696C2×C4C2×#12711yescharacteristic
697C2×C4#53611yescharacteristic
698C2×C4#53711yescharacteristic
699C2×C4#54611yescharacteristic
700C2×C4#54611yescharacteristic
701C2×C4#54611yescharacteristic
702C2×C4#54711yescharacteristic
703C2×C4#54711yescharacteristic
704C2×C4#54711yescharacteristic
705C2×C4#54811yescharacteristic
706C2×C4#54811yescharacteristic
707C2×C4#54811yescharacteristic
708C2×C4D4×Q811yescharacteristic
709C2×C4D4×Q811yescharacteristic
710C2×C4D4×Q811yescharacteristic
711C2×C4#55211yescharacteristic
712C2×C4#55211yescharacteristic
713C2×C4#55411yescharacteristic
714C2×C4#55611yescharacteristic
715C8—22no—
716C8—22no—
717C8—22no—
718C8—22no—
719C8—24no—
720C8—42no—
721C8—42no—
722C8—42no—
723C8—81no—
724C8—81no—
725C22—22no—
726C22—22no—
727C22—22no—
728C22—22no—
729C22—21no—
730C22—21no—
731C22—21no—
732C22—21no—
733C22—44no—
734C22—42no—
735C22—82no—
736C22—81no—
737C22—81no—
738C22C2×#39011yescharacteristic
739C22C4×C22⋊Q811yescharacteristic
740C22#232311yescharacteristic
741C22#242711yescharacteristic
742C22#242911yescharacteristic
743C22#248911yescharacteristic
744C22#249211yescharacteristic
745C22#295612yes—
746C22#295712yes—
747C4—22no—
748C4—22no—
749C4—22no—
750C4—22no—
751C4—44no—
752C4—42no—
753C4—82no—
754C4—81no—
755C4—81no—
756C4—81no—
757C4—81no—
758C4—81no—
759C4—81no—
760C4#233911yescharacteristic
761C4Q8×C22⋊C411yescharacteristic
762C4#236011yescharacteristic
763C4#236211yescharacteristic
764C4#241511yescharacteristic
765C4#241711yescharacteristic
766C4#254011yescharacteristic
767C4#254211yescharacteristic
768C2—21no—
769C2—21no—
770C2—21no—
771C2—21no—
772C2—82no—
773C2#1399711yescharacteristic
774C2#2124011yescharacteristic
775C2#2124111yescharacteristic
776C2#2162912yes—
777C2#2213212yes—
subgroupG/H
centerC22×C4C22×D4
commutatorC22×C4C23×C4
Frattini, cosocleC23×C4C24
socleC23C2×C4×D4
prime radicalC22×#41C23
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C22×C4 ◁ C22×#97 ◁ G
LECSG ▷ C23×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
2. C2×#1986C2semidirect
3. #21301C2semidirect
4. C2×#1950C2semidirect
6. C2×#1771C2semidirect
8. #11376C2semidirect
9. #11376C2semidirect
14. #10860C2semidirect
15. #10859C2semidirect
20. C2×#479C4semidirect
21. C2×#479C4semidirect
22. C2×#477C4semidirect
23. C2×#475C4semidirect
24. C2×#478C4semidirect
25. C2×#478C4semidirect
26. C2×#476C4semidirect
27. C2×#474C4semidirect
166. #408Q8semidirect

Maximal subgroups

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

subgroupindex
C2×#30762
C2×#19862
#213012
C2×#19502
C2×#18062
C2×#17712
#203752
#113762
#111252
#109302
#109292
#108602
#108592