Finite Group Databasebeta

← #366947

Subgroups — #366947

Order 512.

1206 conjugacy classes of subgroups.

The subgroup lattice has 777 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3076C211yesmaximal, characteristic
2C2×#1995C211yesmaximal, characteristic, complemented
3#21302C211yesmaximal, characteristic, complemented
4C2×#1950C211yesmaximal, characteristic, complemented
5#20629C211yesmaximal, characteristic
6C2×#1768C211yesmaximal, characteristic, complemented
7C2×#1759C211yesmaximal, 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×C4⋊C8C2211yescharacteristic
35C22×#104C2211yescharacteristic
36C22×#104C2211yescharacteristic
37C2×#416C2211yescharacteristic
38C2×#416C2211yescharacteristic
39C2×#408C2211yescharacteristic
40C2×#408C2211yescharacteristic
41C2×C4×M16C2211yescharacteristic
42C22×#97C2211yescharacteristic
43C22×C4×C8C2211yescharacteristic
44C2×#376C2211yescharacteristic
45#1995—24no—
46#1985—22no—
47#1984—22no—
48#1950—24no—
49#1798—22no—
50#1797—22no—
51#1768—24no—
52#1759—24no—
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×C42—21no—
105C22×C42C2311yescharacteristic
106C22×C42C2311yescharacteristic
107C22×C42C2311yescharacteristic
108#479—24no—
109#479—24no—
110#478—24no—
111#478—24no—
112#477—24no—
113#476—24no—
114#475—24no—
115#474—24no—
116C2×#108—22no—
117C2×#108—22no—
118C2×#108—22no—
119C2×#108—22no—
120C2×#108—41no—
121C2×#108—41no—
122#427—22no—
123#427—22no—
124#427—22no—
125#427—22no—
126C2×#107C2×C411yescharacteristic
127C2×#107C2×C411yescharacteristic
128C2×#107C2×C411yescharacteristic
129C2×#107C2×C411yescharacteristic
130C2×#106C2×C411yescharacteristic
131C2×#106C2×C411yescharacteristic
132C2×#106C2×C411yescharacteristic
133C2×#106C2×C411yescharacteristic
134#423—22no—
135#423—22no—
136C2×C4⋊C8—22no—
137C2×C4⋊C8—22no—
138C2×C4⋊C8—21no—
139C2×C4⋊C8—21no—
140C2×C4⋊C8C2×C411yescharacteristic
141C2×C4⋊C8C2×C411yescharacteristic
142C2×C4⋊C8C2×C411yescharacteristic
143C2×C4⋊C8C2×C411yescharacteristic
144C2×C4⋊C8D412yes—
145C2×C4⋊C8D412yes—
146C2×C4⋊C8D414yes—
147C2×C4⋊C8D414yes—
148C2×#104—22no—
149C2×#104—22no—
150C2×#104—22no—
151C2×#104—22no—
152C2×#104—22no—
153C2×#104Q814yescomplemented
154#416—22no—
155#416—22no—
156#416—22no—
157#416—22no—
158C2×#103C2×C411yescharacteristic
159C2×#103C2×C411yescharacteristic
160C2×#103C2×C411yescharacteristic
161C2×#103C2×C411yescharacteristic
162C2×#102C2×C411yescharacteristic
163C2×#102C2×C411yescharacteristic
164C2×#102C2×C411yescharacteristic
165C2×#102C2×C411yescharacteristic
166#408—22no—
167#408—22no—
168#408—41no—
169#408—41no—
170C2×C22⋊C8—22no—
171C2×C22⋊C8—22no—
172C4×M16—22no—
173C4×M16—22no—
174C2×#97—22no—
175C2×#97—21no—
176C2×#97—22no—
177C2×#97—41no—
178C2×C4×C8—22no—
179C2×C4×C8—21no—
180C2×C4×C8—22no—
181C2×C4×C8—41no—
182#376—22no—
183#376D414yes—
184C2×#95—21no—
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×C8—21no—
274C22×C8—21no—
275C22×C8C22×C411yescharacteristic
276C22×C8C22×C411yescharacteristic
277C22×C8C22×C411yescharacteristic
278C22×C8C22×C411yescharacteristic
279C22×C8C2×D412yes—
280C22×C8C2×D412yes—
281C22×C8C2×D412yes—
282C22×C8C2×D412yes—
283C22×C8C2×D412yes—
284C22×C8C2×D412yes—
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⋊C4C22×C411yescharacteristic
336C2×C4⋊C4C22×C411yescharacteristic
337C2×C4⋊C4C22×C411yescharacteristic
338C2×C4⋊C4C22×C411yescharacteristic
339C2×C4⋊C4C22×C411yescharacteristic
340C2×C4⋊C4C22×C411yescharacteristic
341C2×C22⋊C4—21no—
342C2×C22⋊C4—21no—
343C2×C22⋊C4—21no—
344C2×C22⋊C4—21no—
345C2×C22⋊C4—21no—
346C2×C42—21no—
347C2×C42—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—42no—
360C2×C42—42no—
361C2×C42C22×C411yescharacteristic
362C2×C42C22×C411yescharacteristic
363C2×C42C2×D412yes—
364C2×C42C2×D412yes—
365C2×C42C2×D412yes—
366C2×C42C2×D412yes—
367C2×C42C2×D412yes—
368C2×C42C2×D411yescharacteristic
369C2×C42C2×D411yescharacteristic
370C2×C42C2×Q812yes—
371C2×C42#4112yes—
372C2×C42#4112yes—
373#108—44no—
374#108—44no—
375#107—22no—
376#107—22no—
377#107—22no—
378#107—22no—
379#106—22no—
380#106—22no—
381#106—22no—
382#106—22no—
383C4⋊C8—24no—
384C4⋊C8—24no—
385C4⋊C8—42no—
386C4⋊C8—42no—
387C4⋊C8C22⋊C414yes—
388C4⋊C8C22⋊C414yes—
389C4⋊C8C22⋊C414yes—
390C4⋊C8C22⋊C414yes—
391#104—28no—
392#104—28no—
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—44no—
402C22⋊C8—44no—
403#97—44no—
404#97—42no—
405C4×C8—44no—
406C4×C8—42no—
407#95—24no—
408#95—24no—
409C24—21no—
410C24C2×#4111yescharacteristic
411#41—22no—
412#41—22no—
413#41—22no—
414#41—22no—
415#41—22no—
416#41—22no—
417#41—22no—
418#41—22no—
419#41—41no—
420#41—41no—
421#41—41no—
422#41—41no—
423#41—41no—
424#41—41no—
425#41—41no—
426#41—41no—
427C2×Q8—21no—
428C2×Q8—21no—
429C2×Q8—21no—
430C2×Q8—21no—
431C2×Q8—21no—
432C2×Q8—44no—
433C2×Q8—42no—
434C2×Q8—42no—
435C2×Q8—82no—
436C2×Q8C4×Q812yes—
437C2×D4—22no—
438C2×D4—22no—
439C2×D4—21no—
440C2×D4—21no—
441C2×D4—21no—
442C2×D4—21no—
443C2×D4—21no—
444C2×D4—41no—
445C2×D4—41no—
446C2×D4—41no—
447C2×D4—41no—
448C2×D4C4×Q812yes—
449C22×C4—21no—
450C22×C4—22no—
451C22×C4—22no—
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—44no—
465C22×C4—42no—
466C22×C4—42no—
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×C4C4×D411yescharacteristic
479C22×C4C4×D411yescharacteristic
480C22×C4C4×D411yescharacteristic
481C22×C4C4×D411yescharacteristic
482C22×C4#12112yes—
483C22×C4#12112yes—
484C22×C4#12412yes—
485C22×C4#12412yes—
486C22×C4C23×C411yescharacteristic
487C22×C4C22×D411yescharacteristic
488C22×C4C22×D411yescharacteristic
489C22×C4C22×D411yescharacteristic
490C22×C4C22×D411yescharacteristic
491C22×C4C22×Q811yescharacteristic
492C22×C4C2×#4111yescharacteristic
493C22×C4C2×#4111yescharacteristic
494C22×C4C2×#4111yescharacteristic
495C22×C4C2×#4111yescharacteristic
496C22×C4H(5,𝔽2)11yescharacteristic
497C22×C42−1+411yescharacteristic
498C22×C42−1+411yescharacteristic
499C22×C42−1+411yescharacteristic
500M16—22no—
501M16—22no—
502M16—22no—
503M16—22no—
504M16—41no—
505M16—41no—
506M16—41no—
507M16—41no—
508M16—41no—
509M16—41no—
510M16—41no—
511M16—41no—
512M16—41no—
513M16—41no—
514M16—41no—
515M16—41no—
516C2×C8—21no—
517C2×C8—21no—
518C2×C8—21no—
519C2×C8—21no—
520C2×C8—21no—
521C2×C8—21no—
522C2×C8—21no—
523C2×C8—21no—
524C2×C8—22no—
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—41no—
541C2×C8—41no—
542C2×C8—41no—
543C2×C8—41no—
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—
562C4⋊C4—21no—
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—42no—
575C4⋊C4—42no—
576C4⋊C4—42no—
577C4⋊C4—42no—
578C4⋊C4—42no—
579C4⋊C4—42no—
580C4⋊C4—42no—
581C4⋊C4—42no—
582C22⋊C4—41no—
583C22⋊C4—41no—
584C22⋊C4—41no—
585C22⋊C4—41no—
586C22⋊C4—41no—
587C22⋊C4—41no—
588C22⋊C4—42no—
589C22⋊C4—42no—
590C42—22no—
591C42—22no—
592C42—22no—
593C42—22no—
594C42—22no—
595C42—41no—
596C42—41no—
597C42—41no—
598C42—41no—
599C42—41no—
600C42—41no—
601C42—41no—
602C42—41no—
603C42—42no—
604C42—42no—
605C42C2×C22⋊C412yes—
606C42C2×C22⋊C412yes—
607C42C4×D412yes—
608C42C4×D412yes—
609C42#12112yes—
610C42#12112yes—
611C42C22⋊Q814yes—
612C42#12712yes—
613C42#12712yes—
614C23—22no—
615C23—22no—
616C23—22no—
617C23—41no—
618C23—42no—
619C23—42no—
620C23—41no—
621C23C2×C4×D411yescharacteristic
622C23C2×#12111yescharacteristic
623C23C2×#12411yescharacteristic
624C23#55211yescharacteristic
625C23#55211yescharacteristic
626C23#55411yescharacteristic
627C23#55611yescharacteristic
628Q8—22no—
629Q8—22no—
630Q8—41no—
631Q8—41no—
632Q8—84no—
633Q8—84no—
634D4—22no—
635D4—22no—
636D4—42no—
637D4—42no—
638D4—42no—
639D4—42no—
640D4—41no—
641D4—41no—
642C2×C4—22no—
643C2×C4—22no—
644C2×C4—22no—
645C2×C4—22no—
646C2×C4—22no—
647C2×C4—24no—
648C2×C4—42no—
649C2×C4—42no—
650C2×C4—42no—
651C2×C4—42no—
652C2×C4—44no—
653C2×C4—44no—
654C2×C4—42no—
655C2×C4—42no—
656C2×C4—41no—
657C2×C4—41no—
658C2×C4—42no—
659C2×C4—42no—
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—41no—
672C2×C4—41no—
673C2×C4—41no—
674C2×C4—41no—
675C2×C4—41no—
676C2×C4—41no—
677C2×C4—84no—
678C2×C4—84no—
679C2×C4—82no—
680C2×C4—82no—
681C2×C4#39012yes—
682C2×C4#39012yes—
683C2×C4#39012yes—
684C2×C4#39012yes—
685C2×C4C22×C22⋊C411yescharacteristic
686C2×C4C2×C4×D411yescharacteristic
687C2×C4C2×C4×Q811yescharacteristic
688C2×C4C4×#4111yescharacteristic
689C2×C4#51911yescharacteristic
690C2×C4#52011yescharacteristic
691C2×C4C2×#12111yescharacteristic
692C2×C4C2×C22⋊Q811yescharacteristic
693C2×C4#52511yescharacteristic
694C2×C4#52911yescharacteristic
695C2×C4C2×#12711yescharacteristic
696C2×C4#53311yescharacteristic
697C2×C4#53611yescharacteristic
698C2×C4#53711yescharacteristic
699C2×C4#54111yescharacteristic
700C2×C4#54211yescharacteristic
701C2×C4#54611yescharacteristic
702C2×C4#54611yescharacteristic
703C2×C4#54611yescharacteristic
704C2×C4#54711yescharacteristic
705C2×C4#54711yescharacteristic
706C2×C4#54711yescharacteristic
707C2×C4#54811yescharacteristic
708C2×C4#54811yescharacteristic
709C2×C4#54811yescharacteristic
710C2×C4D4×Q811yescharacteristic
711C2×C4D4×Q811yescharacteristic
712C2×C4D4×Q811yescharacteristic
713C8—22no—
714C8—22no—
715C8—22no—
716C8—22no—
717C8—42no—
718C8—42no—
719C8—42no—
720C8—42no—
721C8—81no—
722C8—81no—
723C22—22no—
724C22—22no—
725C22—22no—
726C22—22no—
727C22—21no—
728C22—21no—
729C22—21no—
730C22—21no—
731C22—42no—
732C22—44no—
733C22—82no—
734C22—81no—
735C22—81no—
736C22C2×#39011yescharacteristic
737C22#236011yescharacteristic
738C22#236211yescharacteristic
739C22#241511yescharacteristic
740C22#241711yescharacteristic
741C22#248911yescharacteristic
742C22#249211yescharacteristic
743C22#295512yes—
744C22#295712yes—
745C4—22no—
746C4—22no—
747C4—22no—
748C4—22no—
749C4—44no—
750C4—42no—
751C4—82no—
752C4—81no—
753C4—81no—
754C4—81no—
755C4—81no—
756C4—81no—
757C4—81no—
758C4C4×C22⋊Q811yescharacteristic
759C4#232311yescharacteristic
760C4#233911yescharacteristic
761C4Q8×C22⋊C411yescharacteristic
762C4#242711yescharacteristic
763C4#242911yescharacteristic
764C4#254011yescharacteristic
765C4#254211yescharacteristic
766C2—21no—
767C2—21no—
768C2—21no—
769C2—21no—
770C2—82no—
771C2#1399711yescharacteristic
772C2#2124011yescharacteristic
773C2#2124211yescharacteristic
774C2#2298412yes—
775C2#2308212yes—
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×C4⋊C8 ◁ G
LECSG ▷ C23×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
2. C2×#1995C2semidirect
3. #21302C2semidirect
4. C2×#1950C2semidirect
6. C2×#1768C2semidirect
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
153. C2×#104Q8semidirect

Maximal subgroups

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

subgroupindex
C2×#30762
C2×#19952
#213022
C2×#19502
#206292
C2×#17682
C2×#17592
#113762
#111252
#109302
#109292
#108602
#108592