Finite Group Databasebeta

← #366935

Subgroups — #366935

Order 512.

1454 conjugacy classes of subgroups.

The subgroup lattice has 790 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#34947C211yesmaximal, characteristic
2C2×#1994C211yesmaximal, characteristic, complemented
3C2×#1986C211yesmaximal, characteristic, complemented
4C2×#1806C211yesmaximal, characteristic
5C4⋊C4×M16C211yesmaximal, characteristic, complemented
6C2×C4×#104C211yesmaximal, characteristic
7C4×#389C211yesmaximal, characteristic, complemented
8#11359C212yesmaximal, complemented
9#11075C212yesmaximal
10#10933C212yesmaximal
11#10851C212yesmaximal, complemented
12C2×#533C2211yescharacteristic
13C2×C4×#41C2211yescharacteristic
14C2×#423C2211yescharacteristic
15C22×#104C2211yescharacteristic
16C22×#104C2212yes—
17C22×#104C2211yescharacteristic
18C2×C4×M16C2212yes—
19C2×C4×M16C2211yescharacteristic
20#2568C411yescharacteristic, complemented
21#2567C411yescharacteristic, complemented
22#2566C412yescomplemented
23#2565C412yescomplemented
24#2564—22no—
25#2563C411yescharacteristic, complemented
26#2542C411yescharacteristic, complemented
27#2417—21no—
28#2417—21no—
29#2396—22no—
30C4×C22⋊Q8—21no—
31C4×C22⋊Q8—21no—
32#2297C2212yes—
33C2×#389—21no—
34#2285C2212yes—
35C2×C4×C4⋊C4C2211yescharacteristic
36C2×C4×C4⋊C4C2212yes—
37C2×C4×C4⋊C4C2211yescharacteristic
38C2×C43C2211yescharacteristic
39#1994—24no—
40#1986—24no—
41#1806—24no—
42#1771—22no—
43#1770—21no—
44C8×C4⋊C4—21no—
45C4×#104—24no—
46C2×#339C2212yes—
47C2×#339C2212yes—
48C2×#339C2212yes—
49C2×#339C2212yes—
50C2×#339C2211yescharacteristic
51C2×#339C2212yes—
52C2×#339C2211yescharacteristic
53#1728C2212yes—
54#1436—22no—
55C4⋊#95—21no—
56C4×#95C2212yes—
57C22×#41C2311yescharacteristic
58C22×M16C2312yes—
59C22×M16C2311yescharacteristic
60C22×M16C2311yescharacteristic
61#533—22no—
62#533—22no—
63#533—22no—
64#533—22no—
65C2×C4⋊Q8C2×C411yescharacteristic
66C2×C4⋊Q8C2×C411yescharacteristic
67C2×#125C2×C412yes—
68C2×C22⋊Q8—21no—
69C2×C22⋊Q8—21no—
70C2×C22⋊Q8—21no—
71C2×C22⋊Q8—21no—
72C4×#41—22no—
73C4×#41—22no—
74C4×#41—22no—
75C4×#41—22no—
76C2×C4×Q8—21no—
77C2×C4×Q8—21no—
78C2×C4×Q8C2×C411yescharacteristic
79C2×C4×Q8C2×C411yescharacteristic
80C2×C4×D4—21no—
81C2×C4×D4—21no—
82C2×C4×D4C2×C411yescharacteristic
83C2×C4×D4C2×C411yescharacteristic
84C2×#117—21no—
85C2×#117C2311yescharacteristic
86C2×#117C2312yes—
87C22×C4⋊C4—21no—
88C22×C4⋊C4—22no—
89C22×C4⋊C4D411yescharacteristic
90C22×C4⋊C4D411yescharacteristic
91C22×C42—21no—
92C22×C42—21no—
93C22×C42—21no—
94C22×C42C2312yes—
95C22×C42C2311yescharacteristic
96C22×C42C2311yescharacteristic
97C22×C42C2312yes—
98C22×C42C2311yescharacteristic
99#423—22no—
100#423D414yes—
101C2×C4⋊C8—21no—
102C2×C4⋊C8—21no—
103C2×#104—22no—
104C2×#104—22no—
105C2×#104—22no—
106C2×#104—22no—
107C2×#104—22no—
108C2×#104—24no—
109C2×#104—24no—
110C2×#104—42no—
111C2×#104Q814yescomplemented
112C4×M16—22no—
113C4×M16—24no—
114C4×M16—42no—
115C4×M16D414yes—
116C2×#97—21no—
117C2×#97—22no—
118C2×C4×C8—21no—
119C2×C4×C8—22no—
120#400—22no—
121#399—22no—
122#398—22no—
123#398—22no—
124#396—22no—
125#396—22no—
126#395—22no—
127#393—22no—
128#391—21no—
129#391—21no—
130#391C2×C412yes—
131#391C2×C412yes—
132#390C2×C412yes—
133#390C2×C412yes—
134#389—28no—
135#389—21no—
136#389—21no—
137#387—22no—
138#387—22no—
139#386—22no—
140#386—22no—
141#385—22no—
142#385—22no—
143#384C2×C412yes—
144#384C2×C412yes—
145#382C2×C412yes—
146#382C2×C412yes—
147#380—22no—
148#380—22no—
149#380—21no—
150#380—21no—
151C4×C4⋊C4—22no—
152C4×C4⋊C4—22no—
153C4×C4⋊C4—22no—
154C4×C4⋊C4—22no—
155C4×C4⋊C4—24no—
156C4×C4⋊C4—42no—
157C4×C4⋊C4C2×C411yescharacteristic
158C4×C4⋊C4C2×C412yes—
159C4×C4⋊C4C2×C411yescharacteristic
160C4×C4⋊C4D412yes—
161C4×C4⋊C4D411yescharacteristic
162C4×C4⋊C4D411yescharacteristic
163C4×C22⋊C4—22no—
164C4×C22⋊C4—22no—
165C2×#95—22no—
166C2×#95—22no—
167C2×#95—22no—
168C2×#95—21no—
169C2×#95D412yes—
170C43—22no—
171C43—22no—
172#339—24no—
173#339—24no—
174#339—24no—
175#339—24no—
176#339—24no—
177#339—22no—
178#339—22no—
179#336—22no—
180#336—22no—
181C2×#41—21no—
182C2×#41—21no—
183C2×#41—21no—
184C2×#41—21no—
185C2×#41—21no—
186C2×#41—21no—
187C2×#41—21no—
188C2×#41—21no—
189C2×#41—21no—
190C2×#41—21no—
191C2×#41C2×Q812yes—
192C2×#41#4112yes—
193C22×Q8—21no—
194C22×Q8—21no—
195C22×Q8C22×C411yescharacteristic
196C22×D4—21no—
197C22×D4C22×C411yescharacteristic
198C23×C4—21no—
199C23×C4—21no—
200C23×C4—21no—
201C23×C4—22no—
202C23×C4—21no—
203C23×C4—21no—
204C23×C4C2×D412yes—
205C23×C4C2×D411yescharacteristic
206C23×C4C2×D412yes—
207C23×C4C2×D411yescharacteristic
208C23×C4C2411yescharacteristic
209C2×M16—21no—
210C2×M16—21no—
211C2×M16—21no—
212C2×M16—21no—
213C2×M16—22no—
214C2×M16—22no—
215C2×M16—21no—
216C2×M16—21no—
217C2×M16—22no—
218C2×M16—22no—
219C2×M16—21no—
220C2×M16—21no—
221C2×M16—22no—
222C2×M16C2×D412yes—
223C2×M16C2×D414yes—
224C2×M16C2×D412yes—
225C2×M16C2×Q812yes—
226C2×M16#4112yes—
227C22×C8—21no—
228C22×C8—21no—
229C22×C8—22no—
230C4⋊Q8—22no—
231C4⋊Q8—22no—
232C4⋊Q8—22no—
233C4⋊Q8—22no—
234#125—24no—
235#125—24no—
236C22⋊Q8—44no—
237C22⋊Q8—42no—
238C22⋊Q8—42no—
239C22⋊Q8—42no—
240C22⋊Q8—42no—
241C22⋊Q8—44no—
242C4×Q8—22no—
243C4×Q8—22no—
244C4×Q8—22no—
245C4×Q8—22no—
246C4×Q8—42no—
247C4×Q8—42no—
248C4×Q8—42no—
249C4×Q8—42no—
250C4×D4—22no—
251C4×D4—22no—
252C4×D4—22no—
253C4×D4—22no—
254C4×D4—42no—
255C4×D4—42no—
256C4×D4—42no—
257C4×D4—42no—
258#117—21no—
259#117—21no—
260#117—22no—
261#117—22no—
262#117—21no—
263#117—21no—
264#117—22no—
265#117—22no—
266#117—42no—
267#117—42no—
268C2×C4⋊C4—24no—
269C2×C4⋊C4—24no—
270C2×C4⋊C4—28no—
271C2×C4⋊C4—21no—
272C2×C4⋊C4—21no—
273C2×C4⋊C4—22no—
274C2×C4⋊C4—22no—
275C2×C4⋊C4—21no—
276C2×C4⋊C4—21no—
277C2×C4⋊C4—22no—
278C2×C4⋊C4—22no—
279C2×C4⋊C4—22no—
280C2×C4⋊C4—22no—
281C2×C4⋊C4—42no—
282C2×C4⋊C4—44no—
283C2×C4⋊C4—42no—
284C2×C4⋊C4—44no—
285C2×C4⋊C4—42no—
286C2×C4⋊C4C22⋊C411yescharacteristic
287C2×C4⋊C4C22⋊C411yescharacteristic
288C2×C4⋊C4C22⋊C411yescharacteristic
289C2×C4⋊C4C22⋊C412yes—
290C2×C4⋊C4C22⋊C412yes—
291C2×C4⋊C4C22⋊C411yescharacteristic
292C2×C4⋊C4C22×C411yescharacteristic
293C2×C4⋊C4C22×C411yescharacteristic
294C2×C4⋊C4C22×C412yes—
295C2×C4⋊C4C22×C412yes—
296C2×C22⋊C4—21no—
297C2×C22⋊C4—22no—
298C2×C22⋊C4—21no—
299C2×C22⋊C4—21no—
300C2×C22⋊C4—22no—
301C2×C22⋊C4—22no—
302C2×C22⋊C4—22no—
303C2×C22⋊C4—22no—
304C2×C42—22no—
305C2×C42—22no—
306C2×C42—22no—
307C2×C42—22no—
308C2×C42—21no—
309C2×C42—21no—
310C2×C42—21no—
311C2×C42—21no—
312C2×C42—21no—
313C2×C42—21no—
314C2×C42—21no—
315C2×C42—21no—
316C2×C42—24no—
317C2×C42—21no—
318C2×C42—21no—
319C2×C42—21no—
320C2×C42—22no—
321C2×C42—21no—
322C2×C42—21no—
323C2×C42—22no—
324C2×C42—22no—
325C2×C42—22no—
326C2×C42—22no—
327C2×C42—22no—
328C2×C42—22no—
329C2×C42—42no—
330C2×C42—42no—
331C2×C42—42no—
332C2×C42—42no—
333C2×C42—42no—
334C2×C42—42no—
335C2×C42—42no—
336C2×C42C22×C412yes—
337C2×C42C22×C412yes—
338C2×C42C22×C411yescharacteristic
339C2×C42C22×C411yescharacteristic
340C2×C42C2×D412yes—
341C2×C42C2×D412yes—
342C2×C42C2×D412yes—
343C2×C42C2×D412yes—
344C2×C42C2×D411yescharacteristic
345C2×C42C2×D411yescharacteristic
346C2×C42C2×Q812yes—
347C2×C42#4112yes—
348C2×C42#4112yes—
349C2×C42#4112yes—
350C4⋊C8—24no—
351C4⋊C8—24no—
352#104—28no—
353#104—28no—
354#104—48no—
355#97—24no—
356#97—44no—
357C4×C8—24no—
358C4×C8—44no—
359#95—28no—
360#95—22no—
361#95—22no—
362#95—22no—
363#95—22no—
364#95—22no—
365#95—22no—
366#95—22no—
367#95—22no—
368#95—44no—
369#95—44no—
370#95—42no—
371#95C22⋊C412yes—
372#95C22⋊C412yes—
373#95C22⋊C412yes—
374#95C22⋊C412yes—
375C24—21no—
376C24C22×D411yescharacteristic
377#41—22no—
378#41—22no—
379#41—22no—
380#41—22no—
381#41—22no—
382#41—22no—
383#41—22no—
384#41—22no—
385#41—41no—
386#41—41no—
387#41—41no—
388#41—41no—
389#41—41no—
390#41—41no—
391#41—41no—
392#41—41no—
393C2×Q8—21no—
394C2×Q8—21no—
395C2×Q8—21no—
396C2×Q8—21no—
397C2×Q8—21no—
398C2×Q8—42no—
399C2×Q8—42no—
400C2×Q8—42no—
401C2×Q8—42no—
402C2×Q8—81no—
403C2×Q8—81no—
404C2×Q8C4×Q812yes—
405C2×D4—22no—
406C2×D4—22no—
407C2×D4—21no—
408C2×D4—21no—
409C2×D4—21no—
410C2×D4—21no—
411C2×D4—21no—
412C2×D4—41no—
413C2×D4—41no—
414C2×D4—41no—
415C2×D4—41no—
416C2×D4C4×Q812yes—
417C22×C4—22no—
418C22×C4—22no—
419C22×C4—22no—
420C22×C4—22no—
421C22×C4—22no—
422C22×C4—22no—
423C22×C4—21no—
424C22×C4—22no—
425C22×C4—22no—
426C22×C4—22no—
427C22×C4—22no—
428C22×C4—22no—
429C22×C4—22no—
430C22×C4—22no—
431C22×C4—22no—
432C22×C4—24no—
433C22×C4—24no—
434C22×C4—21no—
435C22×C4—21no—
436C22×C4—22no—
437C22×C4—22no—
438C22×C4—41no—
439C22×C4—41no—
440C22×C4—42no—
441C22×C4—42no—
442C22×C4—42no—
443C22×C4—41no—
444C22×C4—41no—
445C22×C4—41no—
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—42no—
456C22×C4—42no—
457C22×C4—42no—
458C22×C4—42no—
459C22×C4—42no—
460C22×C4—42no—
461C22×C4—42no—
462C22×C4—42no—
463C22×C4—42no—
464C22×C4—42no—
465C22×C4—81no—
466C22×C4—81no—
467C22×C4C2×C22⋊C412yes—
468C22×C4C2×C22⋊C412yes—
469C22×C4C2×C22⋊C412yes—
470C22×C4C2×C22⋊C411yescharacteristic
471C22×C4C2×C22⋊C411yescharacteristic
472C22×C4C2×C22⋊C411yescharacteristic
473C22×C4C2×C22⋊C412yes—
474C22×C4C2×C22⋊C411yescharacteristic
475C22×C4#12412yes—
476C22×C4#12412yes—
477C22×C4#12712yes—
478C22×C4#12712yes—
479C22×C4C23×C411yescharacteristic
480C22×C4C22×D411yescharacteristic
481C22×C4C22×D411yescharacteristic
482C22×C4C22×D411yescharacteristic
483C22×C4C22×Q811yescharacteristic
484C22×C4C2×#4111yescharacteristic
485C22×C4C2×#4111yescharacteristic
486C22×C4C2×#4111yescharacteristic
487C22×C4C2×#4111yescharacteristic
488C22×C4C2×#4111yescharacteristic
489C22×C4H(5,𝔽2)11yescharacteristic
490C22×C42−1+411yescharacteristic
491C22×C42−1+411yescharacteristic
492C22×C42−1+411yescharacteristic
493M16—22no—
494M16—22no—
495M16—22no—
496M16—22no—
497M16—22no—
498M16—24no—
499M16—24no—
500M16—42no—
501M16—42no—
502M16—41no—
503M16—41no—
504M16C22⋊Q814yescomplemented
505C2×C8—22no—
506C2×C8—22no—
507C2×C8—22no—
508C2×C8—22no—
509C2×C8—24no—
510C2×C8—42no—
511C2×C8—41no—
512C2×C8—41no—
513C2×C8—42no—
514C4⋊C4—24no—
515C4⋊C4—22no—
516C4⋊C4—22no—
517C4⋊C4—22no—
518C4⋊C4—21no—
519C4⋊C4—21no—
520C4⋊C4—21no—
521C4⋊C4—21no—
522C4⋊C4—22no—
523C4⋊C4—22no—
524C4⋊C4—22no—
525C4⋊C4—22no—
526C4⋊C4—42no—
527C4⋊C4—48no—
528C4⋊C4—416no—
529C4⋊C4—44no—
530C4⋊C4—42no—
531C4⋊C4—42no—
532C4⋊C4—44no—
533C4⋊C4—44no—
534C4⋊C4—42no—
535C4⋊C4—42no—
536C4⋊C4—44no—
537C4⋊C4—82no—
538C4⋊C4—82no—
539C4⋊C4#10414yescomplemented
540C22⋊C4—44no—
541C22⋊C4—41no—
542C22⋊C4—42no—
543C22⋊C4—41no—
544C22⋊C4—42no—
545C22⋊C4—42no—
546C22⋊C4—42no—
547C22⋊C4—44no—
548C22⋊C4—82no—
549C22⋊C4—82no—
550C42—22no—
551C42—22no—
552C42—22no—
553C42—22no—
554C42—22no—
555C42—22no—
556C42—22no—
557C42—22no—
558C42—22no—
559C42—22no—
560C42—22no—
561C42—22no—
562C42—48no—
563C42—48no—
564C42—41no—
565C42—41no—
566C42—42no—
567C42—42no—
568C42—41no—
569C42—41no—
570C42—41no—
571C42—41no—
572C42—42no—
573C42—42no—
574C42—42no—
575C42—42no—
576C42—42no—
577C42—42no—
578C42C4×D412yes—
579C42C4×D412yes—
580C42C4×D412yes—
581C42C4×D412yes—
582C42#12112yes—
583C42#12112yes—
584C42#12112yes—
585C42#12112yes—
586C23—21no—
587C23—21no—
588C23—21no—
589C23—21no—
590C23—22no—
591C23—41no—
592C23—41no—
593C23—41no—
594C23—41no—
595C23—41no—
596C23—41no—
597C23C22×C22⋊C411yescharacteristic
598C23C2×#12411yescharacteristic
599C23C2×#12711yescharacteristic
600C23#54611yescharacteristic
601C23#54711yescharacteristic
602C23#54811yescharacteristic
603C23D4×Q811yescharacteristic
604Q8—22no—
605Q8—22no—
606Q8—41no—
607Q8—41no—
608Q8—84no—
609Q8—84no—
610D4—22no—
611D4—22no—
612D4—42no—
613D4—42no—
614D4—42no—
615D4—42no—
616D4—41no—
617D4—41no—
618C2×C4—22no—
619C2×C4—21no—
620C2×C4—21no—
621C2×C4—22no—
622C2×C4—21no—
623C2×C4—21no—
624C2×C4—21no—
625C2×C4—21no—
626C2×C4—24no—
627C2×C4—24no—
628C2×C4—24no—
629C2×C4—24no—
630C2×C4—22no—
631C2×C4—22no—
632C2×C4—22no—
633C2×C4—22no—
634C2×C4—22no—
635C2×C4—22no—
636C2×C4—22no—
637C2×C4—22no—
638C2×C4—22no—
639C2×C4—22no—
640C2×C4—42no—
641C2×C4—42no—
642C2×C4—44no—
643C2×C4—44no—
644C2×C4—42no—
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—41no—
655C2×C4—42no—
656C2×C4—42no—
657C2×C4—41no—
658C2×C4—42no—
659C2×C4—42no—
660C2×C4—42no—
661C2×C4—42no—
662C2×C4—44no—
663C2×C4—44no—
664C2×C4—44no—
665C2×C4—42no—
666C2×C4—41no—
667C2×C4—42no—
668C2×C4—41no—
669C2×C4—42no—
670C2×C4—42no—
671C2×C4—41no—
672C2×C4—41no—
673C2×C4—41no—
674C2×C4—41no—
675C2×C4—42no—
676C2×C4—42no—
677C2×C4—84no—
678C2×C4—82no—
679C2×C4—82no—
680C2×C4—82no—
681C2×C4—82no—
682C2×C4—82no—
683C2×C4—82no—
684C2×C4—84no—
685C2×C4#39012yes—
686C2×C4#39012yes—
687C2×C4#39012yes—
688C2×C4#39012yes—
689C2×C4C2×#10414yes—
690C2×C4C2×#10412yes—
691C2×C4#42112yes—
692C2×C4C2×C4×D411yescharacteristic
693C2×C4C2×C4×D411yescharacteristic
694C2×C4C2×C4×Q811yescharacteristic
695C2×C4C4×#4111yescharacteristic
696C2×C4#51911yescharacteristic
697C2×C4#52011yescharacteristic
698C2×C4C2×#12111yescharacteristic
699C2×C4C2×#12111yescharacteristic
700C2×C4C2×C22⋊Q811yescharacteristic
701C2×C4#52511yescharacteristic
702C2×C4#52911yescharacteristic
703C2×C4#53311yescharacteristic
704C2×C4#53611yescharacteristic
705C2×C4#53711yescharacteristic
706C2×C4#54111yescharacteristic
707C2×C4#54211yescharacteristic
708C2×C4#54611yescharacteristic
709C2×C4#54611yescharacteristic
710C2×C4#54711yescharacteristic
711C2×C4#54711yescharacteristic
712C2×C4#54811yescharacteristic
713C2×C4#54811yescharacteristic
714C2×C4D4×Q811yescharacteristic
715C2×C4D4×Q811yescharacteristic
716C2×C4#55211yescharacteristic
717C2×C4#55211yescharacteristic
718C2×C4#55411yescharacteristic
719C2×C4#55611yescharacteristic
720C8—24no—
721C8—42no—
722C8—44no—
723C22—21no—
724C22—21no—
725C22—21no—
726C22—21no—
727C22—21no—
728C22—21no—
729C22—21no—
730C22—21no—
731C22—21no—
732C22—21no—
733C22—21no—
734C22—21no—
735C22—42no—
736C22—42no—
737C22—42no—
738C22—81no—
739C22—81no—
740C22—81no—
741C22—81no—
742C22C2×#39011yescharacteristic
743C22#233911yescharacteristic
744C22Q8×C22⋊C411yescharacteristic
745C22#248911yescharacteristic
746C22#249211yescharacteristic
747C22#254011yescharacteristic
748C22#254211yescharacteristic
749C22C22×#10411yescharacteristic
750C22C2×#42111yescharacteristic
751C22#290111yescharacteristic
752C22#290111yescharacteristic
753C4—22no—
754C4—22no—
755C4—22no—
756C4—24no—
757C4—44no—
758C4—44no—
759C4—42no—
760C4—42no—
761C4—42no—
762C4—42no—
763C4—84no—
764C4—81no—
765C4—82no—
766C4—81no—
767C4—82no—
768C4#198014yes—
769C4C4×C22⋊Q811yescharacteristic
770C4#232311yescharacteristic
771C4#236011yescharacteristic
772C4#236211yescharacteristic
773C4#241511yescharacteristic
774C4#241711yescharacteristic
775C4#242711yescharacteristic
776C4#242911yescharacteristic
777C2—21no—
778C2—21no—
779C2—21no—
780C2—21no—
781C2—82no—
782C2#1399711yescharacteristic
783C2C2×#198011yescharacteristic
784C2#2125311yescharacteristic
785C2#2250511yescharacteristic
786C2#2250711yescharacteristic
787C2Q8×#10411yescharacteristic
788C2#2252911yescharacteristic
subgroupG/H
centerC22×C4C22×D4
commutatorC22×C4C23×C4
Frattini, cosocleC23×C4C24
socleC23C22×C22⋊C4
prime radicalC22×#41C23
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C22×C4 ◁ C2×C4×C4⋊C4 ◁ G
LECSG ▷ C23×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
2. C2×#1994C2semidirect
3. C2×#1986C2semidirect
5. C4⋊C4×M16C2semidirect
7. C4×#389C2semidirect
8. #11359C2semidirect
11. #10851C2semidirect
20. #2568C4semidirect
21. #2567C4semidirect
22. #2566C4semidirect
23. #2565C4semidirect
25. #2563C4semidirect
26. #2542C4semidirect
111. C2×#104Q8semidirect
504. M16C22⋊Q8semidirect
539. C4⋊C4#104semidirect

Maximal subgroups

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

subgroupindex
#349472
C2×#19942
C2×#19862
C2×#18062
C4⋊C4×M162
C2×C4×#1042
C4×#3892
#113592
#110752
#109332
#108512