Finite Group Databasebeta

← #481517

Subgroups — #481517

Order 512.

1168 conjugacy classes of subgroups.

The subgroup lattice has 784 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#34562C211yesmaximal, characteristic
2C2×C4×#99C211yesmaximal, characteristic, complemented
3C2×#1460C211yesmaximal, characteristic, complemented
4#11731C212yesmaximal, complemented
5#11729C212yesmaximal, complemented
6#11727C212yesmaximal, complemented
7#11725C212yesmaximal, complemented
8#11716C212yesmaximal, complemented
9#11692C212yesmaximal, complemented
10C2×#525C411yescharacteristic, complemented
11C22×C4×D4C2211yescharacteristic
12C2×#431—21no—
13C22×#99—21no—
14#2638C411yescharacteristic, complemented
15#2638C2211yescharacteristic
16#2635C411yescharacteristic, complemented
17#2635C2211yescharacteristic
18#2630—21no—
19#2630—21no—
20#2627C411yescharacteristic, complemented
21#2626C2211yescharacteristic
22#2622—21no—
23#2618C411yescharacteristic, complemented
24#2617C2211yescharacteristic
25#2613—21no—
26#2395C411yescharacteristic, complemented
27#2395C2211yescharacteristic
28#2392—21no—
29#2392—21no—
30#2388C411yescharacteristic, complemented
31#2388C2211yescharacteristic
32C4×#123—21no—
33C4×#120—21no—
34#2280C411yescharacteristic, complemented
35C2×C4×C22⋊C4—21no—
36C4×#99—21no—
37C4×#99—21no—
38C4×#99C2212yes—
39C4×#99C2212yes—
40C2×#342C2212yes—
41#1460—21no—
42#1460—21no—
43#1460C2212yes—
44#1460C2212yes—
45C2×#323—21no—
46C2×#323C2212yes—
47#1352C2214yescomplemented
48#1351C2214yescomplemented
49#1344C2214yescomplemented
50#1343C2214yescomplemented
51C22×#41C2×C411yescharacteristic, complemented
52C23×D4D411yescharacteristic
53C24×C4C2×C411yescharacteristic
54C24×C4D411yescharacteristic
55#525—41no—
56#525—41no—
57#525—41no—
58#525—41no—
59C2×#123—21no—
60C2×#123—21no—
61C2×C22⋊Q8C2×C411yescharacteristic
62C2×C22⋊Q8C2×C411yescharacteristic, complemented
63C2×#121C2×C411yescharacteristic
64C2×#121C2×C411yescharacteristic, complemented
65C2×#120—21no—
66C2×#120—21no—
67C2×C4×D4—21no—
68C2×C4×D4—21no—
69C2×C4×D4—21no—
70C2×C4×D4—21no—
71C2×C4×D4—41no—
72C2×C4×D4—41no—
73C2×C4×D4—41no—
74C2×C4×D4—41no—
75C2×C4×D4C2×C411yescharacteristic
76C2×C4×D4C2×C411yescharacteristic
77C2×C4×D4D411yescharacteristic
78C2×C4×D4D411yescharacteristic
79C2×C4×D4D411yescharacteristic
80C2×C4×D4D411yescharacteristic
81C2×C4×D4C2311yescharacteristic
82C2×C4×D4C2311yescharacteristic
83C2×#117—21no—
84C2×#117C2×C411yescharacteristic, complemented
85C22×C4⋊C4C2×C411yescharacteristic
86C22×C22⋊C4—22no—
87C22×C22⋊C4D411yescharacteristic
88C22×C22⋊C4C2311yescharacteristic
89C22×C42—41no—
90C22×C42D411yescharacteristic
91#431—22no—
92#431—22no—
93#431—41no—
94#431—41no—
95C2×C4⋊C8—41no—
96C2×#99—28no—
97C2×#99—22no—
98C2×#99—22no—
99C2×C22⋊C8—22no—
100C2×C4×C8—41no—
101#400C2×C411yescharacteristic, complemented
102#400C2×C411yescharacteristic, complemented
103#399C2×C411yescharacteristic
104#399C2311yescharacteristic
105#398—21no—
106#398—21no—
107#398C2×C411yescharacteristic, complemented
108#398C2×C411yescharacteristic, complemented
109#397—21no—
110#397—21no—
111#397—21no—
112#397—21no—
113#397C2×C411yescharacteristic
114#397C2311yescharacteristic
115#396—21no—
116#396—21no—
117#396—21no—
118#396—21no—
119#395C2×C411yescharacteristic, complemented
120#395C2×C411yescharacteristic, complemented
121#394—21no—
122#394—21no—
123#394—21no—
124#394—21no—
125#394—21no—
126#394—21no—
127#394—21no—
128#394—21no—
129#394—21no—
130#394—21no—
131#394C2×C411yescharacteristic, complemented
132#394C2×C411yescharacteristic, complemented
133#393C2×C411yescharacteristic
134#393C2311yescharacteristic
135#392—21no—
136#392—21no—
137#392—21no—
138#392—21no—
139#392C2×C411yescharacteristic
140#392C2311yescharacteristic
141#388—21no—
142#388—21no—
143#387—21no—
144#387—21no—
145#386—21no—
146#386—21no—
147#386—21no—
148#386—21no—
149#385—21no—
150#385—21no—
151#385—21no—
152#385—21no—
153#381—21no—
154#381C2×C411yescharacteristic, complemented
155#381C2×C411yescharacteristic, complemented
156#380—21no—
157#380C2×C411yescharacteristic
158#380C2×C411yescharacteristic
159#379—21no—
160#379—21no—
161C4×C4⋊C4—21no—
162C4×C4⋊C4—21no—
163C4×C22⋊C4—21no—
164C4×C22⋊C4—21no—
165C4×C22⋊C4—21no—
166C4×C22⋊C4—21no—
167C4×C22⋊C4—21no—
168C4×C22⋊C4—22no—
169C4×C22⋊C4—22no—
170C4×C22⋊C4—41no—
171C4×C22⋊C4—41no—
172C4×C22⋊C4C2×C411yescharacteristic, complemented
173C4×C22⋊C4C2×C411yescharacteristic, complemented
174C2×#95—41no—
175#342—22no—
176#342C2314yes—
177#323—22no—
178#323—22no—
179#323—22no—
180#323C2314yes—
181C25C22⋊C411yescharacteristic
182C25C2×D411yescharacteristic
183C2×#41—41no—
184C2×#41—41no—
185C2×#41—82no—
186C22×Q8C22×C411yescharacteristic
187C22×D4—24no—
188C22×D4—21no—
189C22×D4—21no—
190C22×D4—21no—
191C22×D4—21no—
192C22×D4—21no—
193C22×D4—24no—
194C22×D4—41no—
195C22×D4—41no—
196C22×D4C22⋊C411yescharacteristic
197C22×D4C22⋊C411yescharacteristic
198C22×D4C22×C411yescharacteristic
199C22×D4C2×D411yescharacteristic
200C22×D4C2×D411yescharacteristic
201C23×C4—21no—
202C23×C4—21no—
203C23×C4—21no—
204C23×C4—21no—
205C23×C4—21no—
206C23×C4—21no—
207C23×C4—21no—
208C23×C4—21no—
209C23×C4—21no—
210C23×C4—42no—
211C23×C4—82no—
212C23×C4—82no—
213C23×C4C22⋊C411yescharacteristic
214C23×C4C22⋊C411yescharacteristic
215C23×C4C22⋊C411yescharacteristic
216C23×C4C22⋊C411yescharacteristic
217C23×C4C22⋊C411yescharacteristic
218C23×C4C22⋊C411yescharacteristic
219C23×C4C22⋊C411yescharacteristic
220C23×C4C22×C411yescharacteristic
221C23×C4C22×C411yescharacteristic
222C23×C4C22×C411yescharacteristic
223C23×C4C2×D411yescharacteristic
224C23×C4C2×D411yescharacteristic
225C23×C4C2×D411yescharacteristic
226C22×C8—42no—
227#123—42no—
228#123—42no—
229#123—44no—
230C22⋊Q8—41no—
231C22⋊Q8—41no—
232C22⋊Q8—41no—
233C22⋊Q8—41no—
234#121—41no—
235#121—41no—
236#121—41no—
237#121—41no—
238#120—42no—
239#120—42no—
240#120—44no—
241C4×D4—41no—
242C4×D4—41no—
243C4×D4—41no—
244C4×D4—41no—
245C4×D4—41no—
246C4×D4—41no—
247C4×D4—41no—
248C4×D4—41no—
249C4×D4—41no—
250C4×D4—41no—
251C4×D4—41no—
252C4×D4—41no—
253C4×D4—41no—
254C4×D4—41no—
255C4×D4—41no—
256C4×D4—41no—
257C4×D4—42no—
258C4×D4—42no—
259C4×D4—41no—
260C4×D4—41no—
261C4×D4—41no—
262C4×D4—41no—
263C4×D4—82no—
264C4×D4—82no—
265#117—41no—
266#117—41no—
267#117—82no—
268C2×C4⋊C4—21no—
269C2×C4⋊C4—21no—
270C2×C4⋊C4—21no—
271C2×C4⋊C4—21no—
272C2×C4⋊C4—21no—
273C2×C4⋊C4—21no—
274C2×C4⋊C4—21no—
275C2×C4⋊C4—21no—
276C2×C4⋊C4—21no—
277C2×C4⋊C4—21no—
278C2×C4⋊C4—41no—
279C2×C4⋊C4—41no—
280C2×C4⋊C4C22⋊C411yescharacteristic
281C2×C4⋊C4C22⋊C411yescharacteristic
282C2×C4⋊C4C22×C411yescharacteristic
283C2×C4⋊C4C22×C411yescharacteristic
284C2×C4⋊C4C22×C411yescharacteristic
285C2×C4⋊C4C22×C411yescharacteristic
286C2×C22⋊C4—28no—
287C2×C22⋊C4—24no—
288C2×C22⋊C4—21no—
289C2×C22⋊C4—21no—
290C2×C22⋊C4—21no—
291C2×C22⋊C4—21no—
292C2×C22⋊C4—21no—
293C2×C22⋊C4—21no—
294C2×C22⋊C4—21no—
295C2×C22⋊C4—21no—
296C2×C22⋊C4—21no—
297C2×C22⋊C4—21no—
298C2×C22⋊C4—21no—
299C2×C22⋊C4—21no—
300C2×C22⋊C4—21no—
301C2×C22⋊C4—21no—
302C2×C22⋊C4—21no—
303C2×C22⋊C4—21no—
304C2×C22⋊C4—21no—
305C2×C22⋊C4—21no—
306C2×C22⋊C4—21no—
307C2×C22⋊C4—21no—
308C2×C22⋊C4—21no—
309C2×C22⋊C4—21no—
310C2×C22⋊C4—21no—
311C2×C22⋊C4—41no—
312C2×C22⋊C4—41no—
313C2×C22⋊C4—41no—
314C2×C22⋊C4—41no—
315C2×C22⋊C4—42no—
316C2×C22⋊C4—44no—
317C2×C22⋊C4C22⋊C411yescharacteristic
318C2×C22⋊C4C22⋊C411yescharacteristic
319C2×C22⋊C4C22×C411yescharacteristic
320C2×C22⋊C4C2×D411yescharacteristic
321C2×C22⋊C4C2×D411yescharacteristic
322C2×C22⋊C4C2×D411yescharacteristic
323C2×C22⋊C4C2×D411yescharacteristic
324C2×C22⋊C4C2411yescharacteristic
325C2×C42—21no—
326C2×C42—21no—
327C2×C42—21no—
328C2×C42—21no—
329C2×C42—21no—
330C2×C42—21no—
331C2×C42—21no—
332C2×C42—42no—
333C2×C42—42no—
334C2×C42—84no—
335C2×C42C22⋊C411yescharacteristic
336C2×C42C22⋊C411yescharacteristic
337C2×C42C2×D411yescharacteristic
338C2×C42C2×D411yescharacteristic
339C4⋊C8—42no—
340C4⋊C8—42no—
341#99—28no—
342#99—28no—
343C22⋊C8—24no—
344C22⋊C8—42no—
345C4×C8—42no—
346C4×C8—42no—
347#95—21no—
348#95—21no—
349#95—21no—
350#95—21no—
351#95—21no—
352#95—21no—
353#95—21no—
354#95—21no—
355#95—21no—
356#95—21no—
357#95—21no—
358#95—21no—
359#95—21no—
360#95—21no—
361#95—42no—
362#95—42no—
363#95C22×C411yescharacteristic
364#95C22×C411yescharacteristic
365#95C22×C411yescharacteristic
366#95C22×C411yescharacteristic
367C24—21no—
368C24—21no—
369C24—22no—
370C24—21no—
371C24—21no—
372C24—22no—
373C24—22no—
374C24—21no—
375C24—81no—
376C24—81no—
377C24—81no—
378C24—81no—
379C24C2×C22⋊C411yescharacteristic
380C24C2×C22⋊C411yescharacteristic
381C24C2×C22⋊C411yescharacteristic
382C24C2×C22⋊C411yescharacteristic
383C24#13514yes—
384C24C22×D411yescharacteristic
385#41—84no—
386#41—84no—
387C2×Q8—41no—
388C2×Q8—81no—
389C2×D4—22no—
390C2×D4—22no—
391C2×D4—22no—
392C2×D4—22no—
393C2×D4—22no—
394C2×D4—22no—
395C2×D4—22no—
396C2×D4—22no—
397C2×D4—41no—
398C2×D4—41no—
399C2×D4—41no—
400C2×D4—41no—
401C2×D4—48no—
402C2×D4—48no—
403C2×D4—41no—
404C2×D4—42no—
405C2×D4—42no—
406C2×D4—42no—
407C2×D4—41no—
408C2×D4—41no—
409C2×D4—42no—
410C2×D4—42no—
411C2×D4—42no—
412C2×D4—81no—
413C2×D4—81no—
414C2×D4—81no—
415C2×D4—81no—
416C2×D4—81no—
417C2×D4—81no—
418C2×D4—81no—
419C2×D4—81no—
420C2×D4—81no—
421C22×C4—21no—
422C22×C4—21no—
423C22×C4—22no—
424C22×C4—21no—
425C22×C4—21no—
426C22×C4—21no—
427C22×C4—21no—
428C22×C4—21no—
429C22×C4—21no—
430C22×C4—21no—
431C22×C4—21no—
432C22×C4—21no—
433C22×C4—21no—
434C22×C4—21no—
435C22×C4—21no—
436C22×C4—21no—
437C22×C4—21no—
438C22×C4—21no—
439C22×C4—21no—
440C22×C4—21no—
441C22×C4—21no—
442C22×C4—21no—
443C22×C4—21no—
444C22×C4—21no—
445C22×C4—21no—
446C22×C4—21no—
447C22×C4—21no—
448C22×C4—21no—
449C22×C4—21no—
450C22×C4—21no—
451C22×C4—21no—
452C22×C4—21no—
453C22×C4—42no—
454C22×C4—44no—
455C22×C4—42no—
456C22×C4—42no—
457C22×C4—42no—
458C22×C4—42no—
459C22×C4—42no—
460C22×C4—42no—
461C22×C4—44no—
462C22×C4—48no—
463C22×C4—41no—
464C22×C4—41no—
465C22×C4—82no—
466C22×C4—82no—
467C22×C4—82no—
468C22×C4—81no—
469C22×C4—81no—
470C22×C4—81no—
471C22×C4—81no—
472C22×C4—82no—
473C22×C4—82no—
474C22×C4—82no—
475C22×C4—82no—
476C22×C4—81no—
477C22×C4—81no—
478C22×C4—81no—
479C22×C4—84no—
480C22×C4—84no—
481C22×C4#9911yescharacteristic
482C22×C4#9911yescharacteristic
483C22×C4#9911yescharacteristic
484C22×C4#9911yescharacteristic
485C22×C4#10414yes—
486C22×C4C2×C22⋊C411yescharacteristic
487C22×C4C2×C22⋊C411yescharacteristic
488C22×C4C2×C22⋊C411yescharacteristic
489C22×C4C2×C22⋊C411yescharacteristic
490C22×C4C2×C22⋊C411yescharacteristic
491C22×C4C2×C22⋊C411yescharacteristic
492C22×C4C2×C22⋊C411yescharacteristic
493C22×C4C2×C22⋊C411yescharacteristic
494C22×C4C23×C411yescharacteristic
495C22×C4C22×D411yescharacteristic
496C2×C8—44no—
497C2×C8—84no—
498C4⋊C4—41no—
499C4⋊C4—41no—
500C4⋊C4—41no—
501C4⋊C4—41no—
502C4⋊C4—41no—
503C4⋊C4—41no—
504C4⋊C4—42no—
505C4⋊C4—41no—
506C4⋊C4—41no—
507C4⋊C4—42no—
508C4⋊C4—42no—
509C4⋊C4—81no—
510C4⋊C4—81no—
511C4⋊C4—81no—
512C4⋊C4—81no—
513C4⋊C4—81no—
514C4⋊C4—81no—
515C22⋊C4—28no—
516C22⋊C4—41no—
517C22⋊C4—41no—
518C22⋊C4—41no—
519C22⋊C4—41no—
520C22⋊C4—41no—
521C22⋊C4—41no—
522C22⋊C4—41no—
523C22⋊C4—41no—
524C22⋊C4—42no—
525C22⋊C4—48no—
526C22⋊C4—42no—
527C22⋊C4—42no—
528C22⋊C4—44no—
529C22⋊C4—42no—
530C22⋊C4—41no—
531C22⋊C4—41no—
532C22⋊C4—42no—
533C22⋊C4—42no—
534C22⋊C4—42no—
535C22⋊C4—41no—
536C22⋊C4—41no—
537C22⋊C4—42no—
538C22⋊C4—42no—
539C22⋊C4—81no—
540C22⋊C4—81no—
541C22⋊C4—81no—
542C22⋊C4—81no—
543C22⋊C4—81no—
544C22⋊C4—81no—
545C22⋊C4—81no—
546C22⋊C4—81no—
547C22⋊C4—81no—
548C22⋊C4—81no—
549C22⋊C4—81no—
550C22⋊C4—81no—
551C42—21no—
552C42—21no—
553C42—21no—
554C42—21no—
555C42—21no—
556C42—21no—
557C42—21no—
558C42—21no—
559C42—42no—
560C42—42no—
561C42—41no—
562C42—41no—
563C42—84no—
564C42—84no—
565C23—21no—
566C23—21no—
567C23—24no—
568C23—21no—
569C23—21no—
570C23—24no—
571C23—21no—
572C23—21no—
573C23—21no—
574C23—21no—
575C23—21no—
576C23—21no—
577C23—41no—
578C23—41no—
579C23—42no—
580C23—42no—
581C23—41no—
582C23—41no—
583C23—41no—
584C23—41no—
585C23—41no—
586C23—41no—
587C23—41no—
588C23—41no—
589C23—41no—
590C23—41no—
591C23—41no—
592C23—41no—
593C23—42no—
594C23—42no—
595C23—41no—
596C23—41no—
597C23—41no—
598C23—81no—
599C23—81no—
600C23—81no—
601C23—81no—
602C23—81no—
603C23—81no—
604C23—84no—
605C23—84no—
606C23—84no—
607C23—84no—
608C23C2×#9911yescharacteristic
609C23C2×#9911yescharacteristic
610C23#41612yes—
611C23#41612yes—
612C23C2×#10412yes—
613C23C22×C22⋊C411yescharacteristic
614C23C2×#13512yes—
615Q8—82no—
616D4—44no—
617D4—44no—
618D4—44no—
619D4—44no—
620D4—82no—
621D4—84no—
622D4—84no—
623D4—84no—
624D4—84no—
625D4—82no—
626D4—82no—
627C2×C4—21no—
628C2×C4—21no—
629C2×C4—21no—
630C2×C4—21no—
631C2×C4—24no—
632C2×C4—24no—
633C2×C4—22no—
634C2×C4—22no—
635C2×C4—22no—
636C2×C4—21no—
637C2×C4—21no—
638C2×C4—21no—
639C2×C4—21no—
640C2×C4—21no—
641C2×C4—21no—
642C2×C4—41no—
643C2×C4—41no—
644C2×C4—41no—
645C2×C4—42no—
646C2×C4—42no—
647C2×C4—42no—
648C2×C4—42no—
649C2×C4—42no—
650C2×C4—42no—
651C2×C4—42no—
652C2×C4—42no—
653C2×C4—42no—
654C2×C4—42no—
655C2×C4—41no—
656C2×C4—41no—
657C2×C4—41no—
658C2×C4—41no—
659C2×C4—41no—
660C2×C4—41no—
661C2×C4—41no—
662C2×C4—41no—
663C2×C4—41no—
664C2×C4—41no—
665C2×C4—48no—
666C2×C4—41no—
667C2×C4—41no—
668C2×C4—41no—
669C2×C4—41no—
670C2×C4—41no—
671C2×C4—41no—
672C2×C4—41no—
673C2×C4—41no—
674C2×C4—41no—
675C2×C4—41no—
676C2×C4—41no—
677C2×C4—41no—
678C2×C4—41no—
679C2×C4—41no—
680C2×C4—41no—
681C2×C4—41no—
682C2×C4—41no—
683C2×C4—81no—
684C2×C4—81no—
685C2×C4—81no—
686C2×C4—81no—
687C2×C4—81no—
688C2×C4—81no—
689C2×C4—81no—
690C2×C4—81no—
691C2×C4—82no—
692C2×C4—81no—
693C2×C4—81no—
694C2×C4—81no—
695C2×C4—81no—
696C2×C4—84no—
697C2×C4—816no—
698C2×C4—84no—
699C2×C4—82no—
700C2×C4C2×#9911yescharacteristic
701C2×C4C2×#9911yescharacteristic
702C2×C4C2×#9911yescharacteristic
703C2×C4C2×#9911yescharacteristic
704C2×C4C2×#10412yes—
705C2×C4C2×#10412yes—
706C8—84no—
707C22—21no—
708C22—21no—
709C22—21no—
710C22—21no—
711C22—21no—
712C22—21no—
713C22—22no—
714C22—22no—
715C22—42no—
716C22—42no—
717C22—42no—
718C22—42no—
719C22—48no—
720C22—41no—
721C22—41no—
722C22—41no—
723C22—41no—
724C22—41no—
725C22—41no—
726C22—41no—
727C22—41no—
728C22—41no—
729C22—41no—
730C22—81no—
731C22—81no—
732C22—84no—
733C22—81no—
734C22—81no—
735C22—81no—
736C22—81no—
737C22—84no—
738C22—84no—
739C22—81no—
740C22—81no—
741C22—81no—
742C22—81no—
743C22—81no—
744C22—81no—
745C22—81no—
746C22#150112yes—
747C22#150112yes—
748C22C22×#9911yescharacteristic
749C22C2×#41611yescharacteristic
750C22C22×#10411yescharacteristic
751C4—21no—
752C4—21no—
753C4—21no—
754C4—22no—
755C4—22no—
756C4—41no—
757C4—41no—
758C4—41no—
759C4—41no—
760C4—41no—
761C4—41no—
762C4—81no—
763C4—81no—
764C4—81no—
765C4—81no—
766C4—88no—
767C4—81no—
768C4—81no—
769C4—81no—
770C4#212112yes—
771C2—21no—
772C2—21no—
773C2—22no—
774C2—22no—
775C2—42no—
776C2—42no—
777C2—81no—
778C2—81no—
779C2—161no—
780C2C2×#150111yescharacteristic
781C2C2×#212111yescharacteristic
782C2#3335811yescharacteristic
subgroupG/H
centerC2×C4C2×#99
commutatorC22×C4C23×C4
Frattini, cosocleC2×C22⋊C4C24
socleC22C22×#99
prime radical#34562C2
LCSG ▷ C22×C4 ▷ C23 ▷ C2 ▷ C1
UCSC1 ◁ C2×C4 ◁ C23×C4 ◁ C22×C4×D4 ◁ G
LECSG ▷ C2×C22⋊C4 ▷ C23 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
2. C2×C4×#99C2semidirect
3. C2×#1460C2semidirect
4. #11731C2semidirect
5. #11729C2semidirect
6. #11727C2semidirect
7. #11725C2semidirect
8. #11716C2semidirect
9. #11692C2semidirect
10. C2×#525C4semidirect
14. #2638C4semidirect
16. #2635C4semidirect
20. #2627C4semidirect
23. #2618C4semidirect
26. #2395C4semidirect
30. #2388C4semidirect
34. #2280C4semidirect
47. #1352C22semidirect
48. #1351C22semidirect
49. #1344C22semidirect
50. #1343C22semidirect
51. C22×#41C2×C4semidirect
62. C2×C22⋊Q8C2×C4semidirect
64. C2×#121C2×C4semidirect
84. C2×#117C2×C4semidirect
101. #400C2×C4semidirect
102. #400C2×C4semidirect
107. #398C2×C4semidirect
108. #398C2×C4semidirect
119. #395C2×C4semidirect
120. #395C2×C4semidirect
131. #394C2×C4semidirect
132. #394C2×C4semidirect
154. #381C2×C4semidirect
155. #381C2×C4semidirect
172. C4×C22⋊C4C2×C4semidirect
173. C4×C22⋊C4C2×C4semidirect

Maximal subgroups

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

subgroupindex
#345622
C2×C4×#992
C2×#14602
#117312
#117292
#117272
#117252
#117162
#116922