Finite Group Databasebeta

← #392926

Subgroups — #392926

Order 512.

1658 conjugacy classes of subgroups.

The subgroup lattice has 763 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C4×#520C211yesmaximal, characteristic
2#21171C211yesmaximal, characteristic, complemented
3C2×#1859C212yesmaximal
4C2×#1806C211yesmaximal, characteristic
5#20648C211yesmaximal, characteristic
6#13910C211yesmaximal, characteristic, complemented
7#10899C212yesmaximal, complemented
8#10891C212yesmaximal, complemented
9#10852C211yesmaximal, characteristic, complemented
10#10847C211yesmaximal, characteristic, complemented
11#10781C212yesmaximal
12C2×#520C2211yescharacteristic
13C2×#520C2211yescharacteristic
14C2×C4×#41C2211yescharacteristic
15C2×#428C2212yes—
16C2×#423C2211yescharacteristic
17C2×#423C2211yescharacteristic
18C22×#104C2212yes—
19C2×#417C2212yes—
20C2×#389—22no—
21C2×#384C2212yes—
22C2×#384C2211yescharacteristic
23#2276—21no—
24#2275—22no—
25#2275—21no—
26#2274—21no—
27#2274—21no—
28#2274C2211yescharacteristic
29#2274C2211yescharacteristic
30C42×Q8—21no—
31C42×D4—22no—
32C42×D4—21no—
33C4×#117—21no—
34C4×#117C2211yescharacteristic
35C2×C4×C4⋊C4—21no—
36C2×C4×C4⋊C4C2211yescharacteristic
37C2×C4×C4⋊C4C2211yescharacteristic
38#1948—21no—
39#1948—21no—
40#1947—21no—
41#1947—21no—
42#1859—28no—
43#1806C418yescomplemented
44#1803—21no—
45#1803—21no—
46#1802—21no—
47#1802—21no—
48C2×#343C2212yes—
49C2×#343C2212yes—
50#1736C2212yes—
51#1736C2212yes—
52C2×#339C2212yes—
53C2×#339C2212yes—
54C2×#339C2212yes—
55#1444—22no—
56C4⋊#95C2212yes—
57C22×#41C2311yescharacteristic
58C22×M16C2312yes—
59C22×M16C2312yes—
60#520—22no—
61#520—22no—
62#520—22no—
63#520—22no—
64#520—22no—
65#520—22no—
66#520D414yes—
67#520Q814yes—
68C4×#41—22no—
69C4×#41—22no—
70C4×#41C2×C414yes—
71C4×#41Q814yes—
72C2×C4×Q8—21no—
73C2×C4×Q8—21no—
74C2×C4×Q8D411yescharacteristic
75C2×C4×Q8D411yescharacteristic
76C2×C4×D4—21no—
77C2×C4×D4—21no—
78C2×C4×D4—21no—
79C2×C4×D4—21no—
80C2×C4×D4—22no—
81C2×C4×D4—22no—
82C2×C4×D4D411yescharacteristic
83C2×C4×D4D411yescharacteristic
84C2×#117—21no—
85C2×#117—21no—
86C2×#117—21no—
87C2×#117C2311yescharacteristic
88C2×#117C2311yescharacteristic
89C2×#117C2311yescharacteristic
90C22×C4⋊C4—21no—
91C22×C4⋊C4—21no—
92C22×C4⋊C4—21no—
93C22×C4⋊C4—21no—
94C22×C4⋊C4—24no—
95C22×C4⋊C4—21no—
96C22×C4⋊C4C2312yes—
97C22×C4⋊C4C2311yescharacteristic
98C22×C4⋊C4C2311yescharacteristic
99C22×C42—21no—
100C22×C42—22no—
101C22×C42D412yes—
102C22×C42C2312yes—
103C22×C42C2311yescharacteristic
104#428—24no—
105#428—24no—
106C2×#107—22no—
107C2×#106—22no—
108#423—22no—
109#423—22no—
110#423—22no—
111#423C2×C414yescomplemented
112C2×C4⋊C8—21no—
113C2×C4⋊C8—21no—
114C2×C4⋊C8—21no—
115C2×C4⋊C8—21no—
116C2×#104—24no—
117C2×#104—24no—
118C2×#104C2×C418yes—
119#417—24no—
120#417—24no—
121C2×#103—22no—
122C2×#102—22no—
123#389—48no—
124#384—24no—
125#384—24no—
126#384—21no—
127#384—21no—
128#384—21no—
129#384—21no—
130C4×C4⋊C4—22no—
131C4×C4⋊C4—22no—
132C4×C4⋊C4—22no—
133C4×C4⋊C4—22no—
134C4×C4⋊C4—22no—
135C4×C4⋊C4—22no—
136C4×C4⋊C4—21no—
137C4×C4⋊C4—21no—
138C4×C4⋊C4—21no—
139C4×C4⋊C4—21no—
140C4×C4⋊C4—21no—
141C4×C4⋊C4—21no—
142C4×C4⋊C4—21no—
143C4×C4⋊C4—21no—
144C4×C4⋊C4—21no—
145C4×C4⋊C4—21no—
146C4×C4⋊C4—21no—
147C4×C4⋊C4—21no—
148C4×C4⋊C4—22no—
149C4×C4⋊C4C2×C414yescomplemented
150C4×C4⋊C4D411yescharacteristic
151C4×C4⋊C4D411yescharacteristic
152C4×C4⋊C4D411yescharacteristic
153C4×C4⋊C4D411yescharacteristic
154C4×C22⋊C4—22no—
155C4×C22⋊C4—22no—
156C4×C22⋊C4—22no—
157C4×C22⋊C4—22no—
158C4×C22⋊C4—22no—
159C4×C22⋊C4—22no—
160C4×C22⋊C4—21no—
161C4×C22⋊C4—21no—
162C4×C22⋊C4—22no—
163C4×C22⋊C4—22no—
164#376—22no—
165#376—21no—
166C2×#95—22no—
167C2×#95—21no—
168C2×#95—24no—
169C2×#95D412yes—
170C43—22no—
171C43—21no—
172#343—24no—
173#343—24no—
174#340—22no—
175#340—22no—
176#340—22no—
177#340—22no—
178#339—24no—
179#339—24no—
180#339C2×C418yescomplemented
181C2×#41—21no—
182C2×#41—21no—
183C2×#41—21no—
184C2×#41—21no—
185C2×#41—21no—
186C2×#41—21no—
187C2×#41C22×C412yes—
188C2×#41C2×D412yes—
189C2×#41C2×Q812yes—
190C2×#41C2×Q812yes—
191C2×#41#4112yes—
192C2×#41#4112yes—
193C22×Q8C2×D411yescharacteristic
194C22×D4—21no—
195C22×D4C2×D411yescharacteristic
196C23×C4—21no—
197C23×C4—22no—
198C23×C4—22no—
199C23×C4—22no—
200C23×C4—21no—
201C23×C4—21no—
202C23×C4—22no—
203C23×C4C2×D411yescharacteristic
204C23×C4C2×D412yes—
205C23×C4C2×D412yes—
206C23×C4C2×D411yescharacteristic
207C23×C4C2411yescharacteristic
208C2×M16—22no—
209C2×M16—22no—
210C2×M16—22no—
211C2×M16—22no—
212C2×M16—22no—
213C2×M16—22no—
214C2×M16—22no—
215C2×M16—22no—
216C2×M16—22no—
217C2×M16—22no—
218C2×M16—22no—
219C2×M16C22×C414yes—
220C22×C8—22no—
221C22×C8—22no—
222C4×Q8—24no—
223C4×Q8—24no—
224C4×Q8—24no—
225C4×Q8—24no—
226C4×Q8—22no—
227C4×Q8—22no—
228C4×Q8C4⋊C414yescomplemented
229C4×Q8C4⋊C414yescomplemented
230C4×D4—28no—
231C4×D4—28no—
232C4×D4—24no—
233C4×D4—24no—
234C4×D4—24no—
235C4×D4—24no—
236C4×D4—24no—
237C4×D4—24no—
238C4×D4—28no—
239C4×D4—24no—
240C4×D4—24no—
241C4×D4—28no—
242C4×D4—22no—
243C4×D4—22no—
244C4×D4C4⋊C414yescomplemented
245C4×D4C4⋊C414yescomplemented
246#117—24no—
247#117—24no—
248#117—21no—
249#117—21no—
250#117—21no—
251#117—21no—
252#117—21no—
253#117—21no—
254#117—24no—
255#117—24no—
256#117—24no—
257#117—24no—
258#117C22×C412yes—
259#117C2×D412yes—
260#117C2×Q812yes—
261#117C2×Q812yes—
262#117#4112yes—
263#117#4112yes—
264C2×C4⋊C4—24no—
265C2×C4⋊C4—22no—
266C2×C4⋊C4—22no—
267C2×C4⋊C4—24no—
268C2×C4⋊C4—24no—
269C2×C4⋊C4—24no—
270C2×C4⋊C4—24no—
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—21no—
279C2×C4⋊C4—21no—
280C2×C4⋊C4—21no—
281C2×C4⋊C4—24no—
282C2×C4⋊C4—24no—
283C2×C4⋊C4—22no—
284C2×C4⋊C4—22no—
285C2×C4⋊C4—22no—
286C2×C4⋊C4—22no—
287C2×C4⋊C4—22no—
288C2×C4⋊C4—22no—
289C2×C4⋊C4—44no—
290C2×C4⋊C4—48no—
291C2×C4⋊C4—41no—
292C2×C4⋊C4—41no—
293C2×C4⋊C4—41no—
294C2×C4⋊C4—41no—
295C2×C4⋊C4—48no—
296C2×C4⋊C4—82no—
297C2×C4⋊C4—84no—
298C2×C4⋊C4C2×D412yes—
299C2×C4⋊C4C2×D411yescharacteristic
300C2×C4⋊C4C2×D411yescharacteristic
301C2×C4⋊C4C2×D411yescharacteristic
302C2×C4⋊C4C2×D411yescharacteristic
303C2×C4⋊C4C2×D411yescharacteristic
304C2×C4⋊C4C2×D411yescharacteristic
305C2×C4⋊C4C2×Q812yes—
306C2×C4⋊C4#4112yes—
307C2×C4⋊C4#4112yes—
308C2×C22⋊C4—22no—
309C2×C22⋊C4—22no—
310C2×C22⋊C4—21no—
311C2×C22⋊C4—21no—
312C2×C22⋊C4—21no—
313C2×C22⋊C4—21no—
314C2×C22⋊C4—21no—
315C2×C42—22no—
316C2×C42—22no—
317C2×C42—21no—
318C2×C42—21no—
319C2×C42—21no—
320C2×C42—21no—
321C2×C42—21no—
322C2×C42—24no—
323C2×C42—24no—
324C2×C42—22no—
325C2×C42—22no—
326C2×C42—22no—
327C2×C42—22no—
328C2×C42—21no—
329C2×C42—22no—
330C2×C42—21no—
331C2×C42—22no—
332C2×C42—22no—
333C2×C42—22no—
334C2×C42—22no—
335C2×C42—22no—
336C2×C42—21no—
337C2×C42—21no—
338C2×C42—22no—
339C2×C42—44no—
340C2×C42—84no—
341C2×C42C22×C414yes—
342C2×C42C22×C412yes—
343C2×C42C2×D411yescharacteristic
344C2×C42C2×D411yescharacteristic
345C2×C42C2×D411yescharacteristic
346C2×C42C2×D411yescharacteristic
347C2×C42C2×Q812yes—
348C2×C42#4112yes—
349C2×C42#4112yes—
350#107—44no—
351#106—44no—
352C4⋊C8—24no—
353C4⋊C8—24no—
354C4⋊C8—42no—
355C4⋊C8—42no—
356#104—216no—
357#103—44no—
358#102—44no—
359#95—22no—
360#95—22no—
361#95—22no—
362#95—22no—
363#95—24no—
364#95—21no—
365#95—22no—
366#95—22no—
367#95—21no—
368#95—21no—
369#95—21no—
370#95—48no—
371C24—21no—
372C24C22×D411yescharacteristic
373#41—22no—
374#41—22no—
375#41—22no—
376#41—22no—
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#41C4×D414yes—
386#41C4×Q814yes—
387#41#12514yes—
388#41C4⋊Q814yes—
389C2×Q8—21no—
390C2×Q8—21no—
391C2×Q8—21no—
392C2×Q8C2×C4⋊C412yes—
393C2×Q8#12112yes—
394C2×Q8C22⋊Q812yes—
395C2×D4—22no—
396C2×D4—22no—
397C2×D4—22no—
398C2×D4—22no—
399C2×D4—22no—
400C2×D4—22no—
401C2×D4—21no—
402C2×D4—21no—
403C2×D4—21no—
404C2×D4C2×C4⋊C412yes—
405C2×D4#12112yes—
406C2×D4C22⋊Q812yes—
407C22×C4—21no—
408C22×C4—22no—
409C22×C4—22no—
410C22×C4—22no—
411C22×C4—22no—
412C22×C4—22no—
413C22×C4—22no—
414C22×C4—22no—
415C22×C4—22no—
416C22×C4—24no—
417C22×C4—24no—
418C22×C4—24no—
419C22×C4—21no—
420C22×C4—21no—
421C22×C4—21no—
422C22×C4—21no—
423C22×C4—22no—
424C22×C4—22no—
425C22×C4—21no—
426C22×C4—21no—
427C22×C4—28no—
428C22×C4—28no—
429C22×C4—22no—
430C22×C4—22no—
431C22×C4—24no—
432C22×C4—24no—
433C22×C4—41no—
434C22×C4—41no—
435C22×C4—42no—
436C22×C4—42no—
437C22×C4—42no—
438C22×C4—42no—
439C22×C4—42no—
440C22×C4—42no—
441C22×C4—42no—
442C22×C4—42no—
443C22×C4—42no—
444C22×C4—42no—
445C22×C4—44no—
446C22×C4—44no—
447C22×C4—42no—
448C22×C4—42no—
449C22×C4—42no—
450C22×C4—81no—
451C22×C4—81no—
452C22×C4—82no—
453C22×C4—82no—
454C22×C4—82no—
455C22×C4—82no—
456C22×C4C4×D412yes—
457C22×C4C4×D412yes—
458C22×C4#12011yescharacteristic
459C22×C4#12011yescharacteristic
460C22×C4#12011yescharacteristic
461C22×C4#12011yescharacteristic
462C22×C4#12114yes—
463C22×C4C22⋊Q812yes—
464C22×C4C22⋊Q814yes—
465C22×C4C22⋊Q812yes—
466C22×C4C23×C411yescharacteristic
467C22×C4C22×D411yescharacteristic
468C22×C4C22×D411yescharacteristic
469C22×C4C22×D411yescharacteristic
470C22×C4C22×Q811yescharacteristic
471C22×C4C22×Q811yescharacteristic
472C22×C4C2×#4111yescharacteristic
473C22×C4C2×#4111yescharacteristic
474C22×C4C2×#4111yescharacteristic
475C22×C4C2×#4111yescharacteristic
476C22×C4C2×#4111yescharacteristic
477C22×C4C2×#4111yescharacteristic
478C22×C4C2×#4111yescharacteristic
479C22×C4C2×#4111yescharacteristic
480M16—24no—
481M16—24no—
482M16—42no—
483M16—42no—
484M16—42no—
485M16—42no—
486M16—42no—
487M16—42no—
488C2×C8—24no—
489C2×C8—42no—
490C2×C8—42no—
491C2×C8—42no—
492C2×C8—42no—
493C2×C8—42no—
494C4⋊C4—216no—
495C4⋊C4—28no—
496C4⋊C4—28no—
497C4⋊C4—22no—
498C4⋊C4—22no—
499C4⋊C4—22no—
500C4⋊C4—22no—
501C4⋊C4—21no—
502C4⋊C4—21no—
503C4⋊C4—21no—
504C4⋊C4—21no—
505C4⋊C4—22no—
506C4⋊C4—22no—
507C4⋊C4—22no—
508C4⋊C4—22no—
509C4⋊C4—21no—
510C4⋊C4—21no—
511C4⋊C4—24no—
512C4⋊C4—24no—
513C4⋊C4—42no—
514C4⋊C4—42no—
515C4⋊C4—42no—
516C4⋊C4—42no—
517C4⋊C4—82no—
518C4⋊C4—82no—
519C4⋊C4—82no—
520C4⋊C4—816no—
521C4⋊C4—82no—
522C4⋊C4C2×C4⋊C412yes—
523C4⋊C4C2×C4⋊C412yes—
524C4⋊C4#12112yes—
525C4⋊C4#12112yes—
526C4⋊C4C22⋊Q812yes—
527C4⋊C4C22⋊Q812yes—
528C22⋊C4—28no—
529C22⋊C4—28no—
530C22⋊C4—22no—
531C22⋊C4—22no—
532C22⋊C4—22no—
533C22⋊C4—22no—
534C22⋊C4—22no—
535C22⋊C4—22no—
536C22⋊C4—24no—
537C22⋊C4—24no—
538C42—28no—
539C42—28no—
540C42—22no—
541C42—22no—
542C42—22no—
543C42—22no—
544C42—22no—
545C42—22no—
546C42—24no—
547C42—24no—
548C42—24no—
549C42—24no—
550C42—42no—
551C42—42no—
552C42—44no—
553C42—42no—
554C42—42no—
555C42—81no—
556C42—81no—
557C42—82no—
558C42—82no—
559C42—82no—
560C42—82no—
561C42—82no—
562C42C2×C4⋊C412yes—
563C42C2×C4⋊C412yes—
564C42C4×D412yes—
565C42C4×D412yes—
566C42C22⋊Q812yes—
567C42C22⋊Q812yes—
568C42#12312yes—
569C42#12312yes—
570C23—21no—
571C23—21no—
572C23—21no—
573C23—21no—
574C23—22no—
575C23—22no—
576C23—22no—
577C23—41no—
578C23—41no—
579C23—41no—
580C23—41no—
581C23C2×C4×D411yescharacteristic
582C23C2×#12011yescharacteristic
583C23C2×#12111yescharacteristic
584C23C2×C22⋊Q811yescharacteristic
585C23C2×C22⋊Q811yescharacteristic
586C23#52511yescharacteristic
587C23#52511yescharacteristic
588Q8—22no—
589Q8—22no—
590Q8—22no—
591Q8#38914yescomplemented
592D4—24no—
593D4—24no—
594D4—24no—
595D4—24no—
596D4—22no—
597D4—22no—
598D4—22no—
599D4#38914yescomplemented
600C2×C4—22no—
601C2×C4—22no—
602C2×C4—21no—
603C2×C4—21no—
604C2×C4—21no—
605C2×C4—21no—
606C2×C4—21no—
607C2×C4—21no—
608C2×C4—22no—
609C2×C4—24no—
610C2×C4—24no—
611C2×C4—24no—
612C2×C4—24no—
613C2×C4—24no—
614C2×C4—24no—
615C2×C4—28no—
616C2×C4—22no—
617C2×C4—24no—
618C2×C4—22no—
619C2×C4—22no—
620C2×C4—24no—
621C2×C4—22no—
622C2×C4—22no—
623C2×C4—22no—
624C2×C4—42no—
625C2×C4—42no—
626C2×C4—44no—
627C2×C4—44no—
628C2×C4—44no—
629C2×C4—44no—
630C2×C4—44no—
631C2×C4—42no—
632C2×C4—42no—
633C2×C4—41no—
634C2×C4—41no—
635C2×C4—41no—
636C2×C4—41no—
637C2×C4—41no—
638C2×C4—41no—
639C2×C4—41no—
640C2×C4—41no—
641C2×C4—42no—
642C2×C4—41no—
643C2×C4—41no—
644C2×C4—41no—
645C2×C4—42no—
646C2×C4—41no—
647C2×C4—44no—
648C2×C4—48no—
649C2×C4—44no—
650C2×C4—44no—
651C2×C4—84no—
652C2×C4—82no—
653C2×C4—82no—
654C2×C4—88no—
655C2×C4—88no—
656C2×C4—84no—
657C2×C4—84no—
658C2×C4—82no—
659C2×C4—82no—
660C2×C4—82no—
661C2×C4#38512yes—
662C2×C4#38512yes—
663C2×C4#38512yes—
664C2×C4#38512yes—
665C2×C4#45312yes—
666C2×C4#45612yes—
667C2×C4C22×C4⋊C411yescharacteristic
668C2×C4C2×C4×D411yescharacteristic
669C2×C4C2×C4×D411yescharacteristic
670C2×C4C2×C4×Q811yescharacteristic
671C2×C4C4×#4111yescharacteristic
672C2×C4C4×#4111yescharacteristic
673C2×C4C2×#12111yescharacteristic
674C2×C4C2×#12111yescharacteristic
675C2×C4C2×C22⋊Q811yescharacteristic
676C2×C4C2×C22⋊Q811yescharacteristic
677C2×C4C2×C22⋊Q811yescharacteristic
678C2×C4C2×#12311yescharacteristic
679C2×C4#52511yescharacteristic
680C2×C4#52511yescharacteristic
681C2×C4#52511yescharacteristic
682C2×C4#52511yescharacteristic
683C2×C4C2×#12511yescharacteristic
684C2×C4#52911yescharacteristic
685C2×C4#52911yescharacteristic
686C2×C4#52911yescharacteristic
687C2×C4#52911yescharacteristic
688C2×C4C2×C4⋊Q811yescharacteristic
689C2×C4#53211yescharacteristic
690C2×C4#53211yescharacteristic
691C2×C4#53311yescharacteristic
692C2×C4#53311yescharacteristic
693C2×C4#53311yescharacteristic
694C2×C4#53311yescharacteristic
695C8—44no—
696C8—82no—
697C22—21no—
698C22—21no—
699C22—21no—
700C22—21no—
701C22—21no—
702C22—21no—
703C22—21no—
704C22—21no—
705C22—21no—
706C22—21no—
707C22—21no—
708C22—21no—
709C22—24no—
710C22—42no—
711C22—42no—
712C22—42no—
713C22—42no—
714C22—42no—
715C22—42no—
716C22C2×#38511yescharacteristic
717C22C4×#12111yescharacteristic
718C22C4×C22⋊Q811yescharacteristic
719C22#284711yescharacteristic
720C22#284811yescharacteristic
721C22#285111yescharacteristic
722C22#285711yescharacteristic
723C22C2×#45311yescharacteristic
724C22C2×#45611yescharacteristic
725C22#302111yescharacteristic
726C22#302211yescharacteristic
727C4—24no—
728C4—22no—
729C4—22no—
730C4—22no—
731C4—48no—
732C4—42no—
733C4—42no—
734C4—44no—
735C4—42no—
736C4—42no—
737C4—44no—
738C4—42no—
739C4—42no—
740C4—162no—
741C4#185914yescomplemented
742C4C2×#38911yescharacteristic
743C4#229611yescharacteristic
744C4C4×#12111yescharacteristic
745C4C4×C22⋊Q811yescharacteristic
746C4#285111yescharacteristic
747C4#285411yescharacteristic
748C4#285511yescharacteristic
749C4#285711yescharacteristic
750C2—21no—
751C2—21no—
752C2—21no—
753C2—21no—
754C2—44no—
755C2#1469711yescharacteristic
756C2C2×#185911yescharacteristic
757C2#2086511yescharacteristic
758C2#3292011yescharacteristic
759C2#3292311yescharacteristic
760C2#3296911yescharacteristic
761C2#3297211yescharacteristic
subgroupG/H
center, socleC23C2×#120
commutatorC22×C4C23×C4
Frattini, cosocleC23×C4C24
prime radicalC22×#41C23
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ C22×C42 ◁ G
LECSG ▷ C23×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
2. #21171C2semidirect
6. #13910C2semidirect
7. #10899C2semidirect
8. #10891C2semidirect
9. #10852C2semidirect
10. #10847C2semidirect
43. #1806C4semidirect
111. #423C2×C4semidirect
149. C4×C4⋊C4C2×C4semidirect
180. #339C2×C4semidirect
228. C4×Q8C4⋊C4semidirect
229. C4×Q8C4⋊C4semidirect
244. C4×D4C4⋊C4semidirect
245. C4×D4C4⋊C4semidirect
591. Q8#389semidirect
599. D4#389semidirect
741. C4#1859semidirect

Maximal subgroups

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

subgroupindex
C4×#5202
#211712
C2×#18592
C2×#18062
#206482
#139102
#108992
#108912
#108522
#108472
#107812