Finite Group Databasebeta

← #6627922

Subgroups — #6627922

Order 512.

2356 conjugacy classes of subgroups.

The subgroup lattice has 770 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#36596C211yesmaximal, characteristic, complemented
2C2×D4×C4⋊C4C211yesmaximal, characteristic, complemented
3#32902C211yesmaximal, characteristic, complemented
4#32902C212yesmaximal, complemented
5#29328C212yesmaximal, complemented
6#29234C212yesmaximal, complemented
7#27973C211yesmaximal, characteristic, complemented
8#27677C211yesmaximal, characteristic, complemented
9#27550C214yesmaximal, complemented
10#26158C214yesmaximal, complemented
11#26106C212yesmaximal, complemented
12#24726C212yesmaximal, complemented
13#22995C212yesmaximal, complemented
14#22766C212yesmaximal, complemented
15#22625C211yesmaximal, characteristic, complemented
16C4×#447C212yesmaximal, complemented
17C4×#447C211yesmaximal, characteristic, complemented
18C2×#553—21no—
19C22×C4×D4C2211yescharacteristic
20C22×C4×D4C2212yes—
21C23×C4⋊C4—21no—
22C2×#459C2212yes—
23C2×#459C2214yes—
24C2×#447C2212yes—
25C2×#447C2211yescharacteristic
26C2×C4×D8C2212yes—
27C2×C4×D8C2214yes—
28#2856C2211yescharacteristic
29#2856C2212yes—
30#2554—22no—
31#2552C2211yescharacteristic, complemented
32#2543—22no—
33#2541C2211yescharacteristic, complemented
34#2512C2212yescomplemented
35#2490—21no—
36#2445C2212yescomplemented
37#2416—21no—
38#2366C2211yescharacteristic, complemented
39#2363—21no—
40#2354C2211yescharacteristic, complemented
41D4×C4⋊C4—21no—
42D4×C4⋊C4—21no—
43D4×C4⋊C4—22no—
44D4×C4⋊C4C2214yes—
45D4×C4⋊C4C2212yes—
46D4×C4⋊C4C2212yes—
47C4×#121C2211yescharacteristic
48C4×#121C2212yes—
49C2×#389C2212yes—
50C2×#385—22no—
51C2×#384C2211yescharacteristic
52C2×#380—21no—
53C2×C4×C4⋊C4C2211yescharacteristic
54#2099C2212yescomplemented
55#2099C2214yescomplemented
56#2093C2212yescomplemented
57#2086C2214yescomplemented
58#2071C2214yescomplemented
59#2067C2214yescomplemented
60#2041C2214yescomplemented
61#1957C2212yescomplemented
62#1947C2212yescomplemented
63#1939C2212yescomplemented
64#1934C2214yescomplemented
65#1934C2214yescomplemented
66#1918C2214yescomplemented
67#1916C2214yescomplemented
68#1879C2212yes—
69#1879C2214yes—
70#1879C2214yes—
71#1879C2214yes—
72#1879C2214yes—
73#1874C2212yes—
74#1874C2212yes—
75#1874C2212yes—
76#1874C2212yes—
77#1874C2211yescharacteristic
78#1862C2214yes—
79#1862C2212yes—
80#1862C2214yescomplemented
81#1852C2212yes—
82#1852C2211yescharacteristic
83#1834C2212yescomplemented
84#1802C2214yes—
85#1802C2212yes—
86#1802C2212yescomplemented
87#1797C2211yescharacteristic
88#1797C2212yes—
89#1786C2211yescharacteristic
90C8×C4⋊C4C2212yescomplemented
91C4×#102C2214yes—
92C4×#102C2212yes—
93C4×C22⋊C8C2211yescharacteristic
94C4×C22⋊C8C2212yes—
95C23×D4C2311yescharacteristic
96C24×C4—21no—
97C24×C4—22no—
98C22×D8C2312yes—
99C22×D8C2314yes—
100#553—48no—
101C2×#127C2311yescharacteristic
102C2×#127C2312yes—
103C2×#126—22no—
104C2×#125—21no—
105C2×#123—22no—
106C2×#121—21no—
107C2×#121—22no—
108C2×#121—22no—
109C2×#121—21no—
110C2×#121—21no—
111C2×#121—21no—
112C2×#121C2312yes—
113C2×#121C2311yescharacteristic
114C2×C4×D4—28no—
115C2×C4×D4—21no—
116C2×C4×D4—22no—
117C2×C4×D4—21no—
118C2×C4×D4—21no—
119C2×C4×D4—21no—
120C2×C4×D4—22no—
121C2×C4×D4—22no—
122C2×C4×D4—48no—
123C2×C4×D4C2311yescharacteristic
124C2×C4×D4C2312yes—
125C2×C4×D4C2314yes—
126C2×C4×D4C2314yes—
127C2×C4×D4C2312yes—
128C2×C4×D4C2312yes—
129C2×#117—21no—
130C22×C4⋊C4—21no—
131C22×C4⋊C4—22no—
132C22×C4⋊C4—21no—
133C22×C4⋊C4—22no—
134C22×C4⋊C4—22no—
135C22×C4⋊C4—24no—
136C22×C4⋊C4—48no—
137C22×C4⋊C4D411yescharacteristic
138C22×C4⋊C4D411yescharacteristic
139C22×C4⋊C4C2311yescharacteristic
140C22×C4⋊C4C2312yes—
141C22×C22⋊C4—21no—
142C22×C22⋊C4—22no—
143C22×C42C2311yescharacteristic
144C22×C42C2312yes—
145#459—28no—
146#459—48no—
147#447—28no—
148#447—24no—
149C4×D8—28no—
150C4×D8—48no—
151C2×#107C2312yes—
152C2×#107C2314yes—
153C2×C4⋊C8C2312yes—
154C2×C4⋊C8C2314yes—
155C2×#102C2312yes—
156C2×#102C2314yes—
157C2×#102C2314yes—
158C2×#102C2312yes—
159C2×#102C2312yes—
160C2×#102C2312yes—
161C2×#102C2314yes—
162C2×#102C2314yes—
163C2×#102C2314yes—
164C2×C22⋊C8C2312yes—
165C2×C22⋊C8C2311yescharacteristic
166C2×C22⋊C8C2311yescharacteristic
167C2×C4×C8C2312yes—
168C2×C4×C8C2314yes—
169#398—22no—
170#397—22no—
171#396—22no—
172#394—22no—
173#394—22no—
174#392—22no—
175#390—21no—
176#390—21no—
177#390—22no—
178#390—22no—
179#390—21no—
180#390C2312yes—
181#390C2312yes—
182#390C2312yes—
183#390C2312yes—
184#390C2311yescharacteristic
185#389—21no—
186#389—22no—
187#389—22no—
188#389C2314yes—
189#389C2312yes—
190#389C2314yes—
191#389C2311yescharacteristic
192#388—22no—
193#388—21no—
194#388—22no—
195#388—22no—
196#386—22no—
197#386—21no—
198#386—22no—
199#386—22no—
200#385—24no—
201#385—24no—
202#385—24no—
203#385—24no—
204#384—21no—
205#384—21no—
206#384C2311yescharacteristic
207#384C2312yes—
208#384C2312yes—
209#384C2312yes—
210#380—22no—
211#380—22no—
212#380—24no—
213#380—21no—
214#380C2311yescharacteristic
215C4×C4⋊C4D411yescharacteristic
216C4×C4⋊C4D411yescharacteristic
217C4×C4⋊C4D412yes—
218C4×C4⋊C4C2312yes—
219C4×C4⋊C4C2311yescharacteristic
220C4×C4⋊C4C2311yescharacteristic
221C4×C4⋊C4C2312yes—
222C4×C4⋊C4C2311yescharacteristic
223C4×C22⋊C4—21no—
224C4×C22⋊C4—22no—
225C2×#95—22no—
226C2×#95D412yes—
227#340C2314yes—
228#340C2314yes—
229#340C2314yes—
230#340C2314yes—
231#340C2314yes—
232#340C2312yes—
233#340C2312yes—
234#336C2312yes—
235#336C2314yes—
236#336C2312yes—
237#336C2314yes—
238C25—21no—
239C22×D4—24no—
240C22×D4—24no—
241C22×D4—21no—
242C22×D4—22no—
243C22×D4—21no—
244C22×D4—21no—
245C22×D4—22no—
246C22×D4—22no—
247C22×D4—21no—
248C22×D4—22no—
249C22×D4#4114yes—
250C22×D4C2411yescharacteristic
251C22×D4C2412yes—
252C22×D4C2412yes—
253C23×C4—28no—
254C23×C4—21no—
255C23×C4—22no—
256C23×C4—22no—
257C23×C4—22no—
258C23×C4—21no—
259C23×C4—24no—
260C23×C4—24no—
261C23×C4—22no—
262C23×C4—44no—
263C23×C4—44no—
264C23×C4—48no—
265C23×C4—48no—
266C23×C4—84no—
267C23×C4C2×D411yescharacteristic
268C23×C4C2×D411yescharacteristic
269C23×C4C2×D412yes—
270C23×C4C2×D412yes—
271C23×C4C2411yescharacteristic
272C2×D8—24no—
273C2×D8—24no—
274C2×D8—28no—
275C2×D8—28no—
276C2×D8—28no—
277C2×D8—24no—
278C22×C8C2412yes—
279C22×C8C2414yes—
280C22×C8C2412yes—
281#127—24no—
282#127—44no—
283#126—48no—
284#125—44no—
285#123—48no—
286#121—24no—
287#121—22no—
288#121—24no—
289#121—22no—
290#121—44no—
291#121—48no—
292#121—44no—
293#121—44no—
294#121—82no—
295#121—84no—
296C4×D4—28no—
297C4×D4—28no—
298C4×D4—24no—
299C4×D4—24no—
300C4×D4—28no—
301C4×D4—28no—
302C4×D4—24no—
303C4×D4—24no—
304C4×D4—44no—
305C4×D4—44no—
306C4×D4—44no—
307C4×D4—48no—
308C4×D4—48no—
309C4×D4—48no—
310C4×D4—44no—
311C4×D4—44no—
312C4×D4#4118yes—
313#117—44no—
314C2×C4⋊C4—21no—
315C2×C4⋊C4—24no—
316C2×C4⋊C4—22no—
317C2×C4⋊C4—22no—
318C2×C4⋊C4—24no—
319C2×C4⋊C4—24no—
320C2×C4⋊C4—22no—
321C2×C4⋊C4—21no—
322C2×C4⋊C4—22no—
323C2×C4⋊C4—21no—
324C2×C4⋊C4—22no—
325C2×C4⋊C4—22no—
326C2×C4⋊C4—22no—
327C2×C4⋊C4—21no—
328C2×C4⋊C4—22no—
329C2×C4⋊C4—42no—
330C2×C4⋊C4—44no—
331C2×C4⋊C4—48no—
332C2×C4⋊C4—44no—
333C2×C4⋊C4—48no—
334C2×C4⋊C4—48no—
335C2×C4⋊C4—416no—
336C2×C4⋊C4—82no—
337C2×C4⋊C4D818yescomplemented
338C2×C4⋊C4C2×D411yescharacteristic
339C2×C4⋊C4C2×D411yescharacteristic
340C2×C4⋊C4C2×D412yes—
341C2×C4⋊C4C2×D411yescharacteristic
342C2×C4⋊C4C2×D411yescharacteristic
343C2×C4⋊C4C2×D412yes—
344C2×C4⋊C4C2414yes—
345C2×C4⋊C4C2411yescharacteristic
346C2×C4⋊C4C2411yescharacteristic
347C2×C4⋊C4C2412yes—
348C2×C4⋊C4C2411yescharacteristic
349C2×C4⋊C4C2412yes—
350C2×C22⋊C4—28no—
351C2×C22⋊C4—22no—
352C2×C22⋊C4—22no—
353C2×C22⋊C4—21no—
354C2×C22⋊C4—24no—
355C2×C22⋊C4—24no—
356C2×C22⋊C4—22no—
357C2×C22⋊C4—22no—
358C2×C22⋊C4—22no—
359C2×C22⋊C4—21no—
360C2×C22⋊C4—21no—
361C2×C22⋊C4—22no—
362C2×C22⋊C4—22no—
363C2×C22⋊C4—21no—
364C2×C22⋊C4—22no—
365C2×C22⋊C4—22no—
366C2×C22⋊C4—22no—
367C2×C22⋊C4—22no—
368C2×C22⋊C4—22no—
369C2×C22⋊C4—21no—
370C2×C22⋊C4—48no—
371C2×C42—24no—
372C2×C42—22no—
373C2×C42—21no—
374C2×C42—44no—
375C2×C42C2×D411yescharacteristic
376C2×C42C2×D411yescharacteristic
377C2×C42C2×D412yes—
378C2×C42C2×D412yes—
379C2×C42C2412yes—
380C2×C42C2412yes—
381C2×C42C2411yescharacteristic
382C2×C42C2411yescharacteristic
383#107—24no—
384#107—44no—
385C4⋊C8—24no—
386C4⋊C8—44no—
387#102—24no—
388#102—24no—
389#102—28no—
390#102—24no—
391#102—24no—
392#102—28no—
393#102—44no—
394#102—44no—
395#102—44no—
396C22⋊C8—24no—
397C22⋊C8—22no—
398C22⋊C8—22no—
399C4×C8—24no—
400C4×C8—44no—
401#95—24no—
402#95—24no—
403#95—21no—
404#95—22no—
405#95—21no—
406#95—22no—
407#95—21no—
408#95C2×D412yes—
409#95C2×D412yes—
410#95C2×D412yes—
411#95C2×D412yes—
412C24—24no—
413C24—24no—
414C24—24no—
415C24—22no—
416C24—21no—
417C24—22no—
418C24—42no—
419C24—42no—
420C24—42no—
421C24—42no—
422C24C22×D411yescharacteristic
423C2×D4—24no—
424C2×D4—24no—
425C2×D4—216no—
426C2×D4—216no—
427C2×D4—24no—
428C2×D4—22no—
429C2×D4—22no—
430C2×D4—24no—
431C2×D4—21no—
432C2×D4—22no—
433C2×D4—22no—
434C2×D4—24no—
435C2×D4—22no—
436C2×D4—22no—
437C2×D4—21no—
438C2×D4—22no—
439C2×D4—44no—
440C2×D4—42no—
441C2×D4—44no—
442C2×D4—44no—
443C2×D4—42no—
444C2×D4—42no—
445C2×D4—44no—
446C2×D4—42no—
447C2×D4—42no—
448C2×D4—42no—
449C2×D4—44no—
450C2×D4—42no—
451C2×D4—81no—
452C2×D4—82no—
453C2×D4—82no—
454C2×D4—82no—
455C2×D4—81no—
456C2×D4—82no—
457C2×D4C2×#4114yes—
458C2×D4C2×#4114yes—
459C2×D4H(5,𝔽2)14yes—
460C22×C4—22no—
461C22×C4—22no—
462C22×C4—22no—
463C22×C4—22no—
464C22×C4—24no—
465C22×C4—28no—
466C22×C4—22no—
467C22×C4—22no—
468C22×C4—24no—
469C22×C4—22no—
470C22×C4—28no—
471C22×C4—21no—
472C22×C4—21no—
473C22×C4—22no—
474C22×C4—21no—
475C22×C4—24no—
476C22×C4—42no—
477C22×C4—41no—
478C22×C4—42no—
479C22×C4—42no—
480C22×C4—42no—
481C22×C4—44no—
482C22×C4—432no—
483C22×C4—48no—
484C22×C4—48no—
485C22×C4—42no—
486C22×C4—42no—
487C22×C4—44no—
488C22×C4—44no—
489C22×C4—44no—
490C22×C4—44no—
491C22×C4—44no—
492C22×C4—44no—
493C22×C4—42no—
494C22×C4—48no—
495C22×C4—48no—
496C22×C4—42no—
497C22×C4—42no—
498C22×C4—44no—
499C22×C4—84no—
500C22×C4—84no—
501C22×C4—82no—
502C22×C4—82no—
503C22×C4—832no—
504C22×C4C2×D814yes—
505C22×C4C2×D818yes—
506C22×C4C22×D412yes—
507C22×C4C22×D412yes—
508C22×C4C22×D411yescharacteristic
509C22×C4C22×D411yescharacteristic
510C22×C4C22×D411yescharacteristic
511C22×C4C22×D412yes—
512C22×C4C22×D412yes—
513C22×C4C22×D411yescharacteristic
514C22×C4C22×D411yescharacteristic
515C22×C4C2×#4112yes—
516C22×C42−1+412yes—
517C22×C4C2511yescharacteristic
518D8—48no—
519D8—416no—
520C2×C8—22no—
521C2×C8—22no—
522C2×C8—22no—
523C2×C8—24no—
524C2×C8—24no—
525C2×C8—22no—
526C2×C8—24no—
527C2×C8—22no—
528C2×C8—22no—
529C4⋊C4—24no—
530C4⋊C4—22no—
531C4⋊C4—22no—
532C4⋊C4—22no—
533C4⋊C4—22no—
534C4⋊C4—21no—
535C4⋊C4—22no—
536C4⋊C4—22no—
537C4⋊C4—24no—
538C4⋊C4—24no—
539C4⋊C4—22no—
540C4⋊C4—21no—
541C4⋊C4—42no—
542C4⋊C4—44no—
543C4⋊C4—48no—
544C4⋊C4—48no—
545C4⋊C4—44no—
546C4⋊C4—44no—
547C4⋊C4—42no—
548C4⋊C4—44no—
549C4⋊C4—42no—
550C4⋊C4—44no—
551C4⋊C4—82no—
552C4⋊C4—82no—
553C4⋊C4—81no—
554C4⋊C4—82no—
555C4⋊C4C2×D814yes—
556C4⋊C4C2×D814yes—
557C4⋊C4C2×D818yes—
558C4⋊C4C2×#4114yes—
559C22⋊C4—28no—
560C22⋊C4—28no—
561C22⋊C4—48no—
562C22⋊C4—48no—
563C22⋊C4—44no—
564C22⋊C4—42no—
565C22⋊C4—42no—
566C22⋊C4—42no—
567C22⋊C4—44no—
568C22⋊C4—44no—
569C22⋊C4—44no—
570C22⋊C4—44no—
571C22⋊C4—42no—
572C22⋊C4—44no—
573C22⋊C4—81no—
574C22⋊C4—82no—
575C22⋊C4—82no—
576C22⋊C4—82no—
577C22⋊C4—82no—
578C42—22no—
579C42—22no—
580C42—22no—
581C42—24no—
582C42—24no—
583C42—42no—
584C42—42no—
585C42—44no—
586C42—42no—
587C42C2×#4114yes—
588C23—21no—
589C23—21no—
590C23—21no—
591C23—21no—
592C23—216no—
593C23—24no—
594C23—24no—
595C23—24no—
596C23—48no—
597C23—48no—
598C23—48no—
599C23—48no—
600C23—48no—
601C23—42no—
602C23—48no—
603C23—42no—
604C23—42no—
605C23—42no—
606C23—41no—
607C23—42no—
608C23—41no—
609C23—42no—
610C23—41no—
611C23—42no—
612C23—42no—
613C23—41no—
614C23—41no—
615C23—42no—
616C23—42no—
617C23—41no—
618C23—41no—
619C23—42no—
620C23#54812yes—
621C23C22×D812yes—
622C23#57712yes—
623C23C23×D411yescharacteristic
624D4—216no—
625D4—24no—
626D4—24no—
627D4—24no—
628D4—42no—
629D4—44no—
630D4—42no—
631D4—44no—
632D4—88no—
633D4—84no—
634D4—84no—
635D4—164no—
636D4—162no—
637D4—164no—
638D4#55318yescomplemented
639C2×C4—21no—
640C2×C4—22no—
641C2×C4—22no—
642C2×C4—21no—
643C2×C4—21no—
644C2×C4—22no—
645C2×C4—22no—
646C2×C4—21no—
647C2×C4—21no—
648C2×C4—21no—
649C2×C4—28no—
650C2×C4—24no—
651C2×C4—24no—
652C2×C4—21no—
653C2×C4—21no—
654C2×C4—24no—
655C2×C4—22no—
656C2×C4—22no—
657C2×C4—22no—
658C2×C4—22no—
659C2×C4—22no—
660C2×C4—21no—
661C2×C4—22no—
662C2×C4—48no—
663C2×C4—44no—
664C2×C4—416no—
665C2×C4—48no—
666C2×C4—42no—
667C2×C4—42no—
668C2×C4—416no—
669C2×C4—41no—
670C2×C4—44no—
671C2×C4—41no—
672C2×C4—42no—
673C2×C4—41no—
674C2×C4—44no—
675C2×C4—41no—
676C2×C4—41no—
677C2×C4—42no—
678C2×C4—41no—
679C2×C4—41no—
680C2×C4—44no—
681C2×C4—41no—
682C2×C4—42no—
683C2×C4—41no—
684C2×C4—816no—
685C2×C4—816no—
686C2×C4—84no—
687C2×C4—88no—
688C2×C4—84no—
689C2×C4—164no—
690C2×C4#52512yes—
691C2×C4#52512yes—
692C2×C4#54812yes—
693C2×C4C22×D814yes—
694C2×C4C22×D812yes—
695C2×C4C22×D814yes—
696C2×C4C22×D812yes—
697C2×C4#57512yes—
698C2×C4C22×#4111yescharacteristic
699C2×C4C22×#4112yes—
700C2×C4C2×H(5,𝔽2)12yes—
701C2×C4C2×2−1+411yescharacteristic
702C8—42no—
703C8—44no—
704C8—42no—
705C22—22no—
706C22—22no—
707C22—22no—
708C22—22no—
709C22—22no—
710C22—22no—
711C22—28no—
712C22—432no—
713C22—44no—
714C22—44no—
715C22—44no—
716C22—44no—
717C22—44no—
718C22—44no—
719C22—81no—
720C22—82no—
721C22—81no—
722C22—82no—
723C22—82no—
724C22—81no—
725C22—81no—
726C22—82no—
727C22—81no—
728C22—82no—
729C22—82no—
730C22—81no—
731C22—81no—
732C22—82no—
733C22#335814yes—
734C22C2×#52511yescharacteristic
735C22C2×#54811yescharacteristic
736C22#348411yescharacteristic
737C22C23×D811yescharacteristic
738C22C2×#57511yescharacteristic
739C22C2×#57711yescharacteristic
740C22#358511yescharacteristic
741C4—22no—
742C4—24no—
743C4—24no—
744C4—22no—
745C4—22no—
746C4—44no—
747C4—42no—
748C4—42no—
749C4—41no—
750C4—81no—
751C4—82no—
752C4—81no—
753C4—84no—
754C4—81no—
755C4#310014yes—
756C4C2×#55312yes—
757C4#349212yes—
758C2—24no—
759C2—48no—
760C2—161no—
761C2—162no—
762C2#3658111yescharacteristic
763C2C2×#310011yescharacteristic
764C2#6058811yescharacteristic
765C2C2×#335811yescharacteristic
766C2#6131811yescharacteristic
767C2#6155911yescharacteristic
768C2#6160411yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ C2×C4×C4⋊C4 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #36596C2semidirect
2. C2×D4×C4⋊C4C2semidirect
3. #32902C2semidirect
4. #32902C2semidirect
5. #29328C2semidirect
6. #29234C2semidirect
7. #27973C2semidirect
8. #27677C2semidirect
9. #27550C2semidirect
10. #26158C2semidirect
11. #26106C2semidirect
12. #24726C2semidirect
13. #22995C2semidirect
14. #22766C2semidirect
15. #22625C2semidirect
16. C4×#447C2semidirect
17. C4×#447C2semidirect
31. #2552C22semidirect
33. #2541C22semidirect
34. #2512C22semidirect
36. #2445C22semidirect
38. #2366C22semidirect
40. #2354C22semidirect
54. #2099C22semidirect
55. #2099C22semidirect
56. #2093C22semidirect
57. #2086C22semidirect
58. #2071C22semidirect
59. #2067C22semidirect
60. #2041C22semidirect
61. #1957C22semidirect
62. #1947C22semidirect
63. #1939C22semidirect
64. #1934C22semidirect
65. #1934C22semidirect
66. #1918C22semidirect
67. #1916C22semidirect
80. #1862C22semidirect
83. #1834C22semidirect
86. #1802C22semidirect
90. C8×C4⋊C4C22semidirect
337. C2×C4⋊C4D8semidirect
638. D4#553semidirect

Maximal subgroups

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

subgroupindex
#365962
C2×D4×C4⋊C42
#329022
#293282
#292342
#279732
#276772
#275502
#261582
#261062
#247262
#229952
#227662
#226252
C4×#4472