Finite Group Databasebeta

← #482979

Subgroups — #482979

Order 512.

774 conjugacy classes of subgroups.

The subgroup lattice has 742 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#62252C211yesmaximal, characteristic
2#33488C211yesmaximal, characteristic, complemented
3#22704C211yesmaximal, characteristic, complemented
4#11890C211yesmaximal, characteristic, complemented
5#11889C211yesmaximal, characteristic, complemented
6#11887C211yesmaximal, characteristic, complemented
7#11885C211yesmaximal, characteristic, complemented
8#11859C211yesmaximal, characteristic, complemented
9#11855C211yesmaximal, characteristic, complemented
10#11746C211yesmaximal, characteristic, complemented
11#11743C211yesmaximal, characteristic, complemented
12#11706C211yesmaximal, characteristic, complemented
13#11704C211yesmaximal, characteristic, complemented
14#11703C211yesmaximal, characteristic, complemented
15C2×#1348C211yesmaximal, characteristic, complemented
16#3520—21no—
17#3342C411yescharacteristic, complemented
18#3336C411yescharacteristic, complemented
19#3336C411yescharacteristic, complemented
20#3334C411yescharacteristic, complemented
21#3302—21no—
22#3300—21no—
23#3300—21no—
24#3298—21no—
25D4×Q16C411yescharacteristic, complemented
26#3285C411yescharacteristic, complemented
27#3285C411yescharacteristic, complemented
28#3283C411yescharacteristic, complemented
29#3248—21no—
30#3190—21no—
31#3190—21no—
32#3170C2211yescharacteristic
33#3168C2211yescharacteristic
34#3050C2211yescharacteristic
35#3050C2211yescharacteristic
36C2×#467C2211yescharacteristic
37C2×#467C2211yescharacteristic
38C2×C8×D4C2211yescharacteristic
39#2352—21no—
40#2169—21no—
41#2168—21no—
42#2168—21no—
43D4×C16—21no—
44#2163C2211yescharacteristic
45#2162C2211yescharacteristic
46#2112C2211yescharacteristic
47#2112C2211yescharacteristic
48C2×C22⋊C16C2211yescharacteristic
49C2×C22⋊C16C2211yescharacteristic
50#1949—21no—
51#1854—21no—
52#1852—21no—
53#1835C2211yescharacteristic
54#1808C2211yescharacteristic
55#1807C2211yescharacteristic
56C4×#107C2211yescharacteristic
57#1735C2211yescharacteristic
58C2×#340C2211yescharacteristic
59#1348C2211yescharacteristic
60#1348C2211yescharacteristic
61#1348C2211yescharacteristic
62#1348C2211yescharacteristic
63#1348C2211yescharacteristic
64#1348C2211yescharacteristic
65#1348C2211yescharacteristic
66#1348C2211yescharacteristic
67#1348C2211yescharacteristic
68#1348C2211yescharacteristic
69#1348C2211yescharacteristic
70#1348C2211yescharacteristic
71#1347C2211yescharacteristic
72#1347C2211yescharacteristic
73#1347C2211yescharacteristic
74#1347C2211yescharacteristic
75C2×#135C2×C411yescharacteristic
76C2×#135C2×C411yescharacteristic, complemented
77C22×Q16C2×C411yescharacteristic
78C22×Q16C2×C411yescharacteristic, complemented
79C23×C8C2311yescharacteristic
80C23×C8C2311yescharacteristic
81#556—21no—
82#554—41no—
83#552—21no—
84#552—21no—
85#551—41no—
86#551—41no—
87D4×Q8—21no—
88#548—21no—
89#548—21no—
90#547—21no—
91#547—21no—
92#546—41no—
93#542—41no—
94#539—41no—
95#539—41no—
96#533—21no—
97#529—21no—
98#525—21no—
99#525—21no—
100C2×C22⋊Q8—21no—
101C2×C22⋊Q8—21no—
102#520—41no—
103C2×C4×D4D411yescharacteristic
104C2×#117—21no—
105C22×C4⋊C4—21no—
106C2×M32—21no—
107C2×M32—21no—
108C22×C16—21no—
109C22×C16—21no—
110#500C2×C411yescharacteristic, complemented
111#499C2×C411yescharacteristic, complemented
112#495C2×C411yescharacteristic, complemented
113#494C2×C411yescharacteristic, complemented
114#488—21no—
115#487—21no—
116#485—21no—
117#485—21no—
118#485—21no—
119#485—21no—
120#483—21no—
121#483—21no—
122#480—21no—
123#480—21no—
124#479—21no—
125#479—21no—
126#475—21no—
127#474—21no—
128#467—21no—
129#467—21no—
130#467—21no—
131#467—21no—
132#467—21no—
133#467C2×C411yescharacteristic
134#467C2×C411yescharacteristic
135#467C2×C411yescharacteristic
136#467C2×C411yescharacteristic, complemented
137#467C2×C411yescharacteristic, complemented
138#467C2×C411yescharacteristic, complemented
139#467C2311yescharacteristic
140#467C2311yescharacteristic
141#467C2311yescharacteristic
142#466C2×C411yescharacteristic
143#466C2×C411yescharacteristic, complemented
144#466C2311yescharacteristic
145#465—21no—
146#465—21no—
147#465—21no—
148#465—21no—
149#465—21no—
150#464—21no—
151#464—21no—
152#462—21no—
153#461—21no—
154#452—21no—
155#452—21no—
156#452—21no—
157#452—21no—
158#451—21no—
159#451—21no—
160#448—21no—
161#448—21no—
162C4×Q16—21no—
163C4×Q16C2×C411yescharacteristic, complemented
164C4×Q16C2×C411yescharacteristic, complemented
165C4×Q16C2×C411yescharacteristic, complemented
166C4×SD16—21no—
167C4×D8C2×C411yescharacteristic, complemented
168C8×D4C2×C411yescharacteristic
169C8×D4C2×C411yescharacteristic
170C8×D4C2×C411yescharacteristic
171C8×D4C2×C411yescharacteristic
172C8×D4D411yescharacteristic
173C8×D4D411yescharacteristic
174C8×D4D411yescharacteristic
175C8×D4D411yescharacteristic
176#427C2×C411yescharacteristic
177#427C2×C411yescharacteristic, complemented
178C2×#107—21no—
179C2×#107—21no—
180C2×#107C2×C411yescharacteristic
181C2×#107C2×C411yescharacteristic, complemented
182C2×#106—21no—
183C2×C4⋊C8D411yescharacteristic
184#416—21no—
185#416—21no—
186C2×#103—21no—
187C2×#103—21no—
188C2×C22⋊C8D411yescharacteristic
189C2×C22⋊C8D411yescharacteristic
190C2×C4×C8C2311yescharacteristic
191#388—41no—
192#387—41no—
193#386—41no—
194#382—21no—
195#380—21no—
196#380—21no—
197C4×C4⋊C4—21no—
198C4×C22⋊C4—41no—
199C4⋊C16—21no—
200C4⋊C16—21no—
201C22⋊C16—21no—
202C22⋊C16—21no—
203C22⋊C16—21no—
204C22⋊C16—21no—
205C22⋊C16C2311yescharacteristic
206C22⋊C16C2311yescharacteristic
207C22⋊C16C2311yescharacteristic
208C22⋊C16C2311yescharacteristic
209#346—21no—
210C4×C16—21no—
211#340—21no—
212#340—21no—
213#340—21no—
214#340C2311yescharacteristic
215#340C2311yescharacteristic
216#340C2311yescharacteristic
217#340C2311yescharacteristic
218C2×#41—21no—
219C2×#41—21no—
220C2×#41—41no—
221C22×Q8—21no—
222C22×Q8—21no—
223C22×D4D811yescharacteristic
224C23×C4—41no—
225C23×C4C2×D411yescharacteristic
226C23×C4C2×D411yescharacteristic
227#135—81no—
228#135—81no—
229C2×Q16—21no—
230C2×Q16—21no—
231C2×Q16—21no—
232C2×Q16—81no—
233C2×Q16—81no—
234C2×Q16C22×C411yescharacteristic
235C2×Q16C22×C411yescharacteristic
236C2×Q16C22×C411yescharacteristic
237C2×SD16—21no—
238C2×SD16—21no—
239C2×SD16—21no—
240C2×D8C22×C411yescharacteristic
241C22×C8—81no—
242C22×C8—81no—
243C22×C8C22×C411yescharacteristic
244C22×C8C22×C411yescharacteristic
245C22×C8C22×C411yescharacteristic
246C22×C8C22×C411yescharacteristic
247C22×C8C2×D411yescharacteristic
248C22×C8C2×D411yescharacteristic
249C22×C8C2×D411yescharacteristic
250C22×C8C2×D411yescharacteristic
251C22×C8C2×D411yescharacteristic
252C22×C8C2×D411yescharacteristic
253C22×C8C2×D411yescharacteristic
254C22×C8C2411yescharacteristic
255C4⋊Q8—21no—
256C4⋊Q8—21no—
257C4⋊Q8—41no—
258#126—41no—
259#126—41no—
260#126—41no—
261#126—41no—
262#126—41no—
263#125—21no—
264#125—41no—
265#125—41no—
266#125—41no—
267#124—21no—
268#124—41no—
269#124—41no—
270#124—41no—
271#123—41no—
272#123—41no—
273#123—41no—
274#123—41no—
275#123—41no—
276#123—41no—
277#123—41no—
278#123—41no—
279#123—41no—
280C22⋊Q8—21no—
281C22⋊Q8—21no—
282C22⋊Q8—21no—
283C22⋊Q8—21no—
284C22⋊Q8—21no—
285C22⋊Q8—21no—
286C22⋊Q8—21no—
287C22⋊Q8—21no—
288C22⋊Q8—21no—
289C22⋊Q8—41no—
290C22⋊Q8—41no—
291C22⋊Q8—41no—
292C22⋊Q8—41no—
293C22⋊Q8—41no—
294C22⋊Q8—41no—
295C22⋊Q8—41no—
296C22⋊Q8—41no—
297C22⋊Q8—41no—
298C22⋊Q8—41no—
299#121—21no—
300#121—21no—
301#121—21no—
302#121—41no—
303#121—41no—
304#121—41no—
305#120—41no—
306#120—41no—
307C4×Q8—21no—
308C4×Q8—21no—
309C4×Q8—21no—
310C4×Q8—41no—
311C4×Q8—41no—
312C4×D4—21no—
313C4×D4—41no—
314C4×D4—41no—
315C4×D4—41no—
316C4×D4—41no—
317C4×D4—41no—
318C4×D4—41no—
319C4×D4—41no—
320C4×D4—41no—
321C4×D4C22⋊C411yescharacteristic
322C4×D4C22⋊C411yescharacteristic
323C4×D4C22⋊C411yescharacteristic
324C4×D4C22⋊C411yescharacteristic
325C4×D4SD1611yescharacteristic
326C4×D4SD1611yescharacteristic
327C4×D4SD1611yescharacteristic
328C4×D4SD1611yescharacteristic
329#117—21no—
330#117—21no—
331#117—41no—
332#117—41no—
333#117—41no—
334#117—41no—
335#117—42no—
336#117—81no—
337C2×C4⋊C4—21no—
338C2×C4⋊C4—21no—
339C2×C4⋊C4—21no—
340C2×C4⋊C4—21no—
341C2×C4⋊C4—21no—
342C2×C4⋊C4—21no—
343C2×C4⋊C4—42no—
344C2×C4⋊C4—41no—
345C2×C4⋊C4—41no—
346C2×C4⋊C4—41no—
347C2×C4⋊C4—41no—
348C2×C4⋊C4—81no—
349C2×C4⋊C4D811yescharacteristic
350C2×C22⋊C4—41no—
351C2×C22⋊C4—41no—
352C2×C22⋊C4—41no—
353C2×C22⋊C4—41no—
354C2×C22⋊C4—41no—
355C2×C22⋊C4D811yescharacteristic
356C2×C22⋊C4D811yescharacteristic
357C2×C42—41no—
358C2×C42—41no—
359C2×C42C2×D411yescharacteristic
360M32—81no—
361M32—81no—
362C2×C16—21no—
363C2×C16—21no—
364C2×C16—21no—
365C2×C16—21no—
366C2×C16—81no—
367C2×C16—81no—
368#107—21no—
369#107—21no—
370#107—21no—
371#107—42no—
372#107—81no—
373#107C22×C411yescharacteristic
374#107C22×C411yescharacteristic
375#107C22×C411yescharacteristic
376#107C22×C411yescharacteristic
377#106—21no—
378#106—21no—
379#106—21no—
380#106—81no—
381C4⋊C8C22⋊C411yescharacteristic
382C4⋊C8C22⋊C411yescharacteristic
383C4⋊C8C22⋊C411yescharacteristic
384C4⋊C8C22⋊C411yescharacteristic
385#103—21no—
386#103—21no—
387#103—21no—
388#103—21no—
389#103—21no—
390#103—21no—
391#103—21no—
392#103—21no—
393#103—21no—
394#103—21no—
395#103—21no—
396#103—21no—
397#102—21no—
398#102—21no—
399#102—21no—
400#102—21no—
401C22⋊C8C22⋊C411yescharacteristic
402C22⋊C8C22⋊C411yescharacteristic
403C22⋊C8C22⋊C411yescharacteristic
404C22⋊C8C22⋊C411yescharacteristic
405C22⋊C8C22⋊C411yescharacteristic
406C22⋊C8C22⋊C411yescharacteristic
407C22⋊C8C22⋊C411yescharacteristic
408C22⋊C8C22⋊C411yescharacteristic
409C4×C8C22×C411yescharacteristic
410C4×C8C22×C411yescharacteristic
411C4×C8C2×D411yescharacteristic
412C4×C8C2×D411yescharacteristic
413#95—41no—
414#95—41no—
415#95—41no—
416#95—41no—
417#95—41no—
418C24C2×D811yescharacteristic
419C24C2×D811yescharacteristic
420#41—81no—
421#41—81no—
422#41—81no—
423#41—81no—
424#41—84no—
425C2×Q8—21no—
426C2×Q8—21no—
427C2×Q8—21no—
428C2×Q8—41no—
429C2×Q8—41no—
430C2×Q8—41no—
431C2×Q8—81no—
432C2×Q8—81no—
433C2×Q8—81no—
434C2×Q8—81no—
435C2×D4—21no—
436C2×D4—42no—
437C2×D4—41no—
438C2×D4—41no—
439C2×D4—41no—
440C2×D4—41no—
441C2×D4—41no—
442C2×D4#10211yescharacteristic
443C2×D4#10211yescharacteristic
444C2×D4#10211yescharacteristic
445C2×D4#10211yescharacteristic
446C22×C4—41no—
447C22×C4—41no—
448C22×C4—41no—
449C22×C4—41no—
450C22×C4—41no—
451C22×C4—41no—
452C22×C4—41no—
453C22×C4—41no—
454C22×C4—41no—
455C22×C4—41no—
456C22×C4—41no—
457C22×C4—41no—
458C22×C4—41no—
459C22×C4—41no—
460C22×C4—41no—
461C22×C4—82no—
462C22×C4—82no—
463C22×C4—161no—
464C22×C4C2×C22⋊C411yescharacteristic
465C22×C4C2×C22⋊C411yescharacteristic
466C22×C4C2×C22⋊C411yescharacteristic
467C22×C4C2×C22⋊C411yescharacteristic
468C22×C4C2×D811yescharacteristic
469C22×C4C2×D811yescharacteristic
470C22×C4C2×D811yescharacteristic
471C22×C4C2×D811yescharacteristic
472C22×C4C2×SD1611yescharacteristic
473C22×C4C2×SD1611yescharacteristic
474C22×C4C2×SD1611yescharacteristic
475C22×C4C2×SD1611yescharacteristic
476C22×C4C22×D411yescharacteristic
477Q16—41no—
478Q16—41no—
479Q16—41no—
480Q16—81no—
481Q16—81no—
482Q16—81no—
483SD16—81no—
484SD16—81no—
485SD16—81no—
486D8—41no—
487C2×C8—41no—
488C2×C8—41no—
489C2×C8—41no—
490C2×C8—41no—
491C2×C8—41no—
492C2×C8—41no—
493C2×C8—41no—
494C2×C8—41no—
495C2×C8—41no—
496C2×C8—41no—
497C2×C8—41no—
498C2×C8—41no—
499C2×C8C2×C22⋊C411yescharacteristic
500C2×C8C2×C22⋊C411yescharacteristic
501C2×C8C2×C22⋊C411yescharacteristic
502C2×C8C2×C22⋊C411yescharacteristic
503C2×C8C2×C22⋊C411yescharacteristic
504C2×C8C2×C22⋊C411yescharacteristic
505C2×C8C23×C411yescharacteristic
506C2×C8C22×D411yescharacteristic
507C4⋊C4—22no—
508C4⋊C4—21no—
509C4⋊C4—21no—
510C4⋊C4—21no—
511C4⋊C4—21no—
512C4⋊C4—41no—
513C4⋊C4—41no—
514C4⋊C4—41no—
515C4⋊C4—41no—
516C4⋊C4—41no—
517C4⋊C4—41no—
518C4⋊C4—41no—
519C4⋊C4—41no—
520C4⋊C4—41no—
521C4⋊C4—41no—
522C4⋊C4—41no—
523C4⋊C4—41no—
524C4⋊C4—41no—
525C4⋊C4—41no—
526C4⋊C4—41no—
527C4⋊C4—41no—
528C4⋊C4—41no—
529C4⋊C4—41no—
530C4⋊C4—41no—
531C4⋊C4—41no—
532C4⋊C4—41no—
533C4⋊C4—41no—
534C4⋊C4—41no—
535C4⋊C4—41no—
536C4⋊C4—41no—
537C4⋊C4—41no—
538C4⋊C4—82no—
539C4⋊C4#10211yescharacteristic
540C4⋊C4#10211yescharacteristic
541C4⋊C4#10211yescharacteristic
542C4⋊C4#10211yescharacteristic
543C22⋊C4—41no—
544C22⋊C4—41no—
545C22⋊C4—41no—
546C22⋊C4—41no—
547C22⋊C4—41no—
548C22⋊C4—41no—
549C22⋊C4—41no—
550C22⋊C4—41no—
551C22⋊C4—41no—
552C22⋊C4—41no—
553C22⋊C4—41no—
554C22⋊C4—41no—
555C22⋊C4—41no—
556C22⋊C4—41no—
557C22⋊C4—41no—
558C22⋊C4—41no—
559C22⋊C4—41no—
560C22⋊C4—82no—
561C22⋊C4—82no—
562C22⋊C4—161no—
563C22⋊C4#10211yescharacteristic
564C22⋊C4#10211yescharacteristic
565C22⋊C4#10211yescharacteristic
566C22⋊C4#10211yescharacteristic
567C22⋊C4#10211yescharacteristic
568C22⋊C4#10211yescharacteristic
569C22⋊C4#10211yescharacteristic
570C22⋊C4#10211yescharacteristic
571C42—41no—
572C42—41no—
573C42—41no—
574C42—41no—
575C42—41no—
576C42—82no—
577C42—161no—
578C42C2×C22⋊C411yescharacteristic
579C42C2×C22⋊C411yescharacteristic
580C42C2×SD1611yescharacteristic
581C42C2×SD1611yescharacteristic
582C16—41no—
583C16—41no—
584C16—41no—
585C16—41no—
586C23—21no—
587C23—21no—
588C23—22no—
589C23—21no—
590C23—21no—
591C23—41no—
592C23—41no—
593C23—41no—
594C23—41no—
595C23C2×#10211yescharacteristic
596C23C2×#10211yescharacteristic
597C23C2×#10211yescharacteristic
598C23C2×#10211yescharacteristic
599C23C22×D811yescharacteristic
600Q8—41no—
601Q8—41no—
602Q8—41no—
603Q8—41no—
604Q8—41no—
605Q8—41no—
606Q8—82no—
607Q8—161no—
608Q8—161no—
609D4—22no—
610D4—22no—
611D4—41no—
612D4—41no—
613D4—41no—
614D4—41no—
615D4—82no—
616D4—81no—
617D4—81no—
618D4—82no—
619D4—161no—
620D4—161no—
621C2×C4—21no—
622C2×C4—21no—
623C2×C4—21no—
624C2×C4—21no—
625C2×C4—21no—
626C2×C4—21no—
627C2×C4—21no—
628C2×C4—21no—
629C2×C4—21no—
630C2×C4—21no—
631C2×C4—21no—
632C2×C4—21no—
633C2×C4—41no—
634C2×C4—41no—
635C2×C4—41no—
636C2×C4—41no—
637C2×C4—41no—
638C2×C4—41no—
639C2×C4—41no—
640C2×C4—42no—
641C2×C4—41no—
642C2×C4—41no—
643C2×C4—41no—
644C2×C4—41no—
645C2×C4—41no—
646C2×C4—41no—
647C2×C4—41no—
648C2×C4—82no—
649C2×C4—81no—
650C2×C4—82no—
651C2×C4—81no—
652C2×C4—82no—
653C2×C4—81no—
654C2×C4—81no—
655C2×C4—81no—
656C2×C4—81no—
657C2×C4—81no—
658C2×C4—81no—
659C2×C4—81no—
660C2×C4—81no—
661C2×C4—81no—
662C2×C4—161no—
663C2×C4—161no—
664C2×C4—161no—
665C2×C4—161no—
666C2×C4—164no—
667C2×C4C2×#10211yescharacteristic
668C2×C4C2×#10211yescharacteristic
669C2×C4C2×#10211yescharacteristic
670C2×C4C2×#10211yescharacteristic
671C2×C4C2×#10211yescharacteristic
672C2×C4C2×#10211yescharacteristic
673C2×C4C2×#10211yescharacteristic
674C2×C4C2×#10211yescharacteristic
675C2×C4C22×C22⋊C411yescharacteristic
676C2×C4C22×SD1611yescharacteristic
677C8—21no—
678C8—21no—
679C8—21no—
680C8—21no—
681C8—21no—
682C8—21no—
683C8—21no—
684C8—21no—
685C22—21no—
686C22—21no—
687C22—21no—
688C22—21no—
689C22—21no—
690C22—21no—
691C22—21no—
692C22—21no—
693C22—21no—
694C22—21no—
695C22—21no—
696C22—21no—
697C22—21no—
698C22—42no—
699C22—42no—
700C22—81no—
701C22—81no—
702C22—81no—
703C22—81no—
704C22—81no—
705C22#214512yes—
706C22C22×#10211yescharacteristic
707C22#341611yescharacteristic
708C22#341711yescharacteristic
709C4—21no—
710C4—21no—
711C4—21no—
712C4—21no—
713C4—21no—
714C4—21no—
715C4—21no—
716C4—21no—
717C4—21no—
718C4—82no—
719C4—81no—
720C4—81no—
721C4—81no—
722C4—81no—
723C4—81no—
724C4—81no—
725C4—81no—
726C4—161no—
727C4—161no—
728C4—161no—
729C4#288311yescharacteristic
730C4#290111yescharacteristic
731C2—21no—
732C2—21no—
733C2—22no—
734C2—41no—
735C2—41no—
736C2—41no—
737C2—161no—
738C2#1761311yescharacteristic
739C2#3338211yescharacteristic
740C2C2×#214511yescharacteristic
subgroupG/H
center, socleC22C22×#102
commutatorC2×C8C23×C4
Frattini, cosocleC22×C8C24
prime radical#62252C2
LCSG ▷ C2×C8 ▷ C2×C4 ▷ C2 ▷ C1
UCSC1 ◁ C22 ◁ C2×C4×D4 ◁ C2×C8×D4 ◁ G
LECSG ▷ C22×C8 ▷ C2×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
2. #33488C2semidirect
3. #22704C2semidirect
4. #11890C2semidirect
5. #11889C2semidirect
6. #11887C2semidirect
7. #11885C2semidirect
8. #11859C2semidirect
9. #11855C2semidirect
10. #11746C2semidirect
11. #11743C2semidirect
12. #11706C2semidirect
13. #11704C2semidirect
14. #11703C2semidirect
15. C2×#1348C2semidirect
17. #3342C4semidirect
18. #3336C4semidirect
19. #3336C4semidirect
20. #3334C4semidirect
25. D4×Q16C4semidirect
26. #3285C4semidirect
27. #3285C4semidirect
28. #3283C4semidirect
76. C2×#135C2×C4semidirect
78. C22×Q16C2×C4semidirect
110. #500C2×C4semidirect
111. #499C2×C4semidirect
112. #495C2×C4semidirect
113. #494C2×C4semidirect
136. #467C2×C4semidirect
137. #467C2×C4semidirect
138. #467C2×C4semidirect
143. #466C2×C4semidirect
163. C4×Q16C2×C4semidirect
164. C4×Q16C2×C4semidirect
165. C4×Q16C2×C4semidirect
167. C4×D8C2×C4semidirect
177. #427C2×C4semidirect
181. C2×#107C2×C4semidirect

Maximal subgroups

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

subgroupindex
#622522
#334882
#227042
#118902
#118892
#118872
#118852
#118592
#118552
#117462
#117432
#117062
#117042
#117032
C2×#13482