Finite Group Databasebeta

← #360101

Subgroups — #360101

Order 512.

2690 conjugacy classes of subgroups.

The subgroup lattice has 773 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C4×#121C211yesmaximal, characteristic
2C22×#384C211yesmaximal, characteristic, complemented
3C2×#1874C212yesmaximal
4C2×#1802C212yesmaximal, complemented
5C2×#1797C211yesmaximal, characteristic, complemented
6#11207C212yesmaximal, complemented
7#11049C212yesmaximal, complemented
8#10849C212yesmaximal, complemented
9#10730C212yesmaximal, complemented
10C22×#121C2211yescharacteristic
11C22×C4×D4—21no—
12C22×C4×D4C2211yescharacteristic
13C23×C4⋊C4—21no—
14C23×C4⋊C4—21no—
15C23×C4⋊C4C2212yes—
16C23×C42C2211yescharacteristic
17C22×C4⋊C8C2212yes—
18C22×#102C2214yes—
19C22×C22⋊C8C2212yes—
20C4×#121—24no—
21C4×#121C418yescomplemented
22C2×#390C2211yescharacteristic
23C2×#389C2211yescharacteristic
24C2×#388—21no—
25C2×#386—21no—
26C2×#384—21no—
27C2×#384—21no—
28C2×#384—28no—
29C2×#384C2212yes—
30C2×#384C2212yes—
31C2×#380C2211yescharacteristic
32C2×C4×C4⋊C4C2211yescharacteristic
33C2×C4×C22⋊C4—21no—
34#1874—28no—
35#1802—28no—
36#1797—24no—
37C2×#340C2214yes—
38C2×#340C2214yes—
39C2×#340C2214yes—
40C2×#336C2212yes—
41C23×D4—21no—
42C23×D4C2311yescharacteristic
43C24×C4—22no—
44C24×C4—21no—
45C24×C4D411yescharacteristic
46C24×C4D411yescharacteristic
47C24×C4C2311yescharacteristic
48C23×C8C2314yes—
49C2×#121—22no—
50C2×#121—22no—
51C2×#121—22no—
52C2×#121C2×C414yes—
53C2×#121D414yes—
54C2×#121Q814yes—
55C2×C4×D4—28no—
56C2×C4×D4—22no—
57C2×C4×D4—24no—
58C2×C4×D4—24no—
59C2×C4×D4—44no—
60C2×C4×D4—44no—
61C2×C4×D4C2×C414yescomplemented
62C22×C4⋊C4—28no—
63C22×C4⋊C4—28no—
64C22×C4⋊C4—22no—
65C22×C4⋊C4—22no—
66C22×C4⋊C4—22no—
67C22×C4⋊C4—22no—
68C22×C4⋊C4—22no—
69C22×C4⋊C4—21no—
70C22×C4⋊C4—28no—
71C22×C4⋊C4—24no—
72C22×C4⋊C4—24no—
73C22×C4⋊C4—44no—
74C22×C4⋊C4—44no—
75C22×C4⋊C4—44no—
76C22×C4⋊C4—44no—
77C22×C4⋊C4—44no—
78C22×C4⋊C4C2311yescharacteristic
79C22×C4⋊C4C2311yescharacteristic
80C22×C4⋊C4C2314yes—
81C22×C4⋊C4C2311yescharacteristic
82C22×C22⋊C4—21no—
83C22×C22⋊C4—21no—
84C22×C22⋊C4—21no—
85C22×C22⋊C4—21no—
86C22×C22⋊C4—21no—
87C22×C42—24no—
88C22×C42—24no—
89C22×C42—21no—
90C22×C42C2×C414yes—
91C22×C42D411yescharacteristic
92C22×C42D411yescharacteristic
93C22×C42D414yes—
94C22×C42C2311yescharacteristic
95C22×C42C2311yescharacteristic
96C2×C4⋊C8—24no—
97C2×C4⋊C8—24no—
98C2×C4⋊C8—24no—
99C2×#102—28no—
100C2×#102—28no—
101C2×#102—44no—
102C2×C22⋊C8—24no—
103C2×C22⋊C8—24no—
104C2×C22⋊C8—24no—
105#390—22no—
106#390C2×C414yescomplemented
107#389—22no—
108#389C2×C414yescomplemented
109#388—28no—
110#386—28no—
111#384—28no—
112#384—28no—
113#384—28no—
114#384—24no—
115#384D418yescomplemented
116#380—22no—
117#380C2×C414yes—
118C4×C4⋊C4—22no—
119C4×C4⋊C4C2×C414yescomplemented
120C4×C22⋊C4—28no—
121C2×#95—21no—
122C2×#95—21no—
123C2×#95—21no—
124#340—28no—
125#340—28no—
126#340—44no—
127#336—24no—
128C25—21no—
129C25C2×D411yescharacteristic
130C22×D4—24no—
131C22×D4—24no—
132C22×D4—24no—
133C22×D4—22no—
134C22×D4—21no—
135C22×D4—22no—
136C22×D4—21no—
137C22×D4—21no—
138C22×D4—22no—
139C22×D4—22no—
140C22×D4—42no—
141C22×D4—42no—
142C22×D4—42no—
143C22×D4—42no—
144C22×D4C22×C412yes—
145C22×D4C2×D412yes—
146C22×D4C2×Q812yes—
147C23×C4—22no—
148C23×C4—22no—
149C23×C4—22no—
150C23×C4—22no—
151C23×C4—22no—
152C23×C4—22no—
153C23×C4—22no—
154C23×C4—22no—
155C23×C4—22no—
156C23×C4—22no—
157C23×C4—22no—
158C23×C4—22no—
159C23×C4—22no—
160C23×C4—22no—
161C23×C4—21no—
162C23×C4—28no—
163C23×C4—21no—
164C23×C4—21no—
165C23×C4—24no—
166C23×C4—24no—
167C23×C4—44no—
168C23×C4—44no—
169C23×C4—44no—
170C23×C4—44no—
171C23×C4—44no—
172C23×C4—44no—
173C23×C4—42no—
174C23×C4—42no—
175C23×C4—42no—
176C23×C4—42no—
177C23×C4—42no—
178C23×C4—42no—
179C23×C4C22⋊C414yes—
180C23×C4C22⋊C414yes—
181C23×C4D814yes—
182C23×C4SD1614yes—
183C23×C4C22×C412yes—
184C23×C4C2×D411yescharacteristic
185C23×C4C2×D411yescharacteristic
186C23×C4C2×D411yescharacteristic
187C23×C4C2×D411yescharacteristic
188C23×C4C2×D412yes—
189C23×C4C2×D412yes—
190C23×C4C2×D411yescharacteristic
191C23×C4C2×Q812yes—
192C23×C4#4112yes—
193C23×C4#4112yes—
194C23×C4C2411yescharacteristic
195C22×C8—24no—
196C22×C8—24no—
197C22×C8—24no—
198C22×C8—24no—
199C22×C8—24no—
200C22×C8—24no—
201C22×C8—24no—
202#121—28no—
203#121—28no—
204#121—28no—
205#121C4⋊C4116yescomplemented
206C4×D4—216no—
207C4×D4—432no—
208C4×D4—48no—
209C2×C4⋊C4—21no—
210C2×C4⋊C4—21no—
211C2×C4⋊C4—21no—
212C2×C4⋊C4—24no—
213C2×C4⋊C4—22no—
214C2×C4⋊C4—24no—
215C2×C4⋊C4—22no—
216C2×C4⋊C4—24no—
217C2×C4⋊C4—24no—
218C2×C4⋊C4—22no—
219C2×C4⋊C4—22no—
220C2×C4⋊C4—28no—
221C2×C4⋊C4—28no—
222C2×C4⋊C4—28no—
223C2×C4⋊C4—24no—
224C2×C4⋊C4—28no—
225C2×C4⋊C4—28no—
226C2×C4⋊C4—24no—
227C2×C4⋊C4—21no—
228C2×C4⋊C4—21no—
229C2×C4⋊C4—416no—
230C2×C4⋊C4—416no—
231C2×C4⋊C4—432no—
232C2×C4⋊C4—44no—
233C2×C4⋊C4—44no—
234C2×C4⋊C4—44no—
235C2×C4⋊C4—44no—
236C2×C4⋊C4—44no—
237C2×C4⋊C4—432no—
238C2×C4⋊C4—44no—
239C2×C4⋊C4—44no—
240C2×C4⋊C4—44no—
241C2×C4⋊C4—42no—
242C2×C4⋊C4—42no—
243C2×C4⋊C4—44no—
244C2×C4⋊C4—44no—
245C2×C4⋊C4C22×C412yes—
246C2×C4⋊C4C22×C412yes—
247C2×C4⋊C4C22×C412yes—
248C2×C4⋊C4C2×D418yes—
249C2×C4⋊C4C2×D412yes—
250C2×C4⋊C4C2×Q812yes—
251C2×C22⋊C4—24no—
252C2×C22⋊C4—24no—
253C2×C22⋊C4—24no—
254C2×C22⋊C4—24no—
255C2×C22⋊C4—24no—
256C2×C22⋊C4—24no—
257C2×C22⋊C4—24no—
258C2×C22⋊C4—42no—
259C2×C22⋊C4—42no—
260C2×C22⋊C4—42no—
261C2×C22⋊C4—42no—
262C2×C22⋊C4—42no—
263C2×C22⋊C4—42no—
264C2×C22⋊C4—42no—
265C2×C22⋊C4—42no—
266C2×C42—22no—
267C2×C42—22no—
268C2×C42—22no—
269C2×C42—22no—
270C2×C42—22no—
271C2×C42—22no—
272C2×C42—216no—
273C2×C42—216no—
274C2×C42—24no—
275C2×C42—42no—
276C2×C42—42no—
277C2×C42C22⋊C414yes—
278C2×C42C22⋊C414yes—
279C2×C42C22×C412yes—
280C2×C42C22×C412yes—
281C2×C42C2×D412yes—
282C2×C42C2×D414yes—
283C2×C42C2×D412yes—
284C2×C42#4114yes—
285C4⋊C8—48no—
286#102—416no—
287C22⋊C8—48no—
288#95—24no—
289#95—24no—
290#95—24no—
291C24—21no—
292C24—21no—
293C24—21no—
294C24—21no—
295C24—21no—
296C24—21no—
297C24—21no—
298C24—21no—
299C24—22no—
300C24—22no—
301C24—22no—
302C24—41no—
303C24—41no—
304C24—41no—
305C24—41no—
306C24—41no—
307C24—41no—
308C24—41no—
309C24—41no—
310C24—41no—
311C24—41no—
312C24—41no—
313C24—41no—
314C24C2×C22⋊C412yes—
315C24#12112yes—
316C24C22⋊Q812yes—
317C24C2×D812yes—
318C24C2×SD1612yes—
319C24AGL(1,ℤ/8)12yes—
320C24#13712yes—
321C24C22×D411yescharacteristic
322C2×D4—216no—
323C2×D4—22no—
324C2×D4—24no—
325C2×D4—24no—
326C2×D4—22no—
327C2×D4—22no—
328C2×D4—24no—
329C2×D4—24no—
330C2×D4—24no—
331C2×D4—24no—
332C2×D4—48no—
333C2×D4—48no—
334C2×D4—48no—
335C2×D4—48no—
336C2×D4—48no—
337C2×D4—48no—
338C2×D4—42no—
339C2×D4—42no—
340C2×D4—42no—
341C2×D4—42no—
342C2×D4—42no—
343C2×D4—42no—
344C2×D4C2×C4⋊C414yescomplemented
345C22×C4—28no—
346C22×C4—28no—
347C22×C4—28no—
348C22×C4—28no—
349C22×C4—21no—
350C22×C4—21no—
351C22×C4—21no—
352C22×C4—21no—
353C22×C4—21no—
354C22×C4—21no—
355C22×C4—21no—
356C22×C4—21no—
357C22×C4—21no—
358C22×C4—21no—
359C22×C4—21no—
360C22×C4—21no—
361C22×C4—21no—
362C22×C4—21no—
363C22×C4—21no—
364C22×C4—21no—
365C22×C4—28no—
366C22×C4—24no—
367C22×C4—24no—
368C22×C4—24no—
369C22×C4—24no—
370C22×C4—24no—
371C22×C4—24no—
372C22×C4—24no—
373C22×C4—24no—
374C22×C4—24no—
375C22×C4—24no—
376C22×C4—24no—
377C22×C4—24no—
378C22×C4—28no—
379C22×C4—28no—
380C22×C4—28no—
381C22×C4—28no—
382C22×C4—28no—
383C22×C4—28no—
384C22×C4—28no—
385C22×C4—28no—
386C22×C4—22no—
387C22×C4—22no—
388C22×C4—22no—
389C22×C4—22no—
390C22×C4—22no—
391C22×C4—28no—
392C22×C4—41no—
393C22×C4—41no—
394C22×C4—41no—
395C22×C4—41no—
396C22×C4—416no—
397C22×C4—416no—
398C22×C4—416no—
399C22×C4—41no—
400C22×C4—44no—
401C22×C4—41no—
402C22×C4—44no—
403C22×C4—41no—
404C22×C4—41no—
405C22×C4—41no—
406C22×C4—41no—
407C22×C4—44no—
408C22×C4—41no—
409C22×C4—41no—
410C22×C4—41no—
411C22×C4—44no—
412C22×C4—44no—
413C22×C4—44no—
414C22×C4—41no—
415C22×C4—41no—
416C22×C4—41no—
417C22×C4—48no—
418C22×C4—48no—
419C22×C4—48no—
420C22×C4—88no—
421C22×C4—88no—
422C22×C4—88no—
423C22×C4—88no—
424C22×C4—84no—
425C22×C4—84no—
426C22×C4—84no—
427C22×C4—84no—
428C22×C4#102116yescomplemented
429C22×C4C2×C22⋊C412yes—
430C22×C4C2×C22⋊C412yes—
431C22×C4C2×C22⋊C412yes—
432C22×C4C2×C22⋊C412yes—
433C22×C4C2×C22⋊C412yes—
434C22×C4C2×C4⋊C414yes—
435C22×C4#11714yes—
436C22×C4#12012yes—
437C22×C4#12012yes—
438C22×C4#12114yes—
439C22×C4#12112yes—
440C22×C4C22⋊Q814yes—
441C22×C4C22⋊Q812yes—
442C22×C4#12312yes—
443C22×C4#12312yes—
444C22×C4C2×D812yes—
445C22×C4C2×D812yes—
446C22×C4C2×SD1612yes—
447C22×C4C2×SD1612yes—
448C22×C4AGL(1,ℤ/8)12yes—
449C22×C4AGL(1,ℤ/8)12yes—
450C22×C4#13712yes—
451C22×C4#13712yes—
452C22×C4C23×C411yescharacteristic
453C22×C4C22×D411yescharacteristic
454C22×C4C22×D412yes—
455C22×C4C22×D411yescharacteristic
456C22×C4C22×Q811yescharacteristic
457C22×C4C2×#4111yescharacteristic
458C22×C4C2×#4111yescharacteristic
459C22×C4C2×#4112yes—
460C22×C4H(5,𝔽2)12yes—
461C22×C42−1+412yes—
462C2×C8—44no—
463C2×C8—44no—
464C2×C8—44no—
465C2×C8—44no—
466C2×C8—44no—
467C2×C8—44no—
468C2×C8—44no—
469C4⋊C4—22no—
470C4⋊C4—22no—
471C4⋊C4—22no—
472C4⋊C4—24no—
473C4⋊C4—24no—
474C4⋊C4—28no—
475C4⋊C4—28no—
476C4⋊C4—416no—
477C4⋊C4—416no—
478C4⋊C4—416no—
479C4⋊C4—416no—
480C4⋊C4—42no—
481C4⋊C4—42no—
482C4⋊C4—44no—
483C4⋊C4—44no—
484C4⋊C4—48no—
485C4⋊C4—416no—
486C4⋊C4C2×C4⋊C414yescomplemented
487C22⋊C4—216no—
488C22⋊C4—48no—
489C22⋊C4—48no—
490C22⋊C4—48no—
491C22⋊C4—48no—
492C42—24no—
493C42—24no—
494C42—28no—
495C42—28no—
496C42—48no—
497C42C4×D418yes—
498C42#12118yes—
499C23—22no—
500C23—22no—
501C23—22no—
502C23—22no—
503C23—22no—
504C23—22no—
505C23—22no—
506C23—22no—
507C23—22no—
508C23—22no—
509C23—22no—
510C23—22no—
511C23—22no—
512C23—22no—
513C23—22no—
514C23—22no—
515C23—22no—
516C23—22no—
517C23—22no—
518C23—22no—
519C23—22no—
520C23—22no—
521C23—22no—
522C23—22no—
523C23—22no—
524C23—22no—
525C23—22no—
526C23—22no—
527C23—24no—
528C23—42no—
529C23—42no—
530C23—42no—
531C23—42no—
532C23—42no—
533C23—42no—
534C23—42no—
535C23—42no—
536C23—42no—
537C23—42no—
538C23—42no—
539C23—42no—
540C23—42no—
541C23—42no—
542C23—42no—
543C23—42no—
544C23—42no—
545C23—42no—
546C23—81no—
547C23—81no—
548C23—81no—
549C23—81no—
550C23—81no—
551C23—81no—
552C23—81no—
553C23—81no—
554C23—81no—
555C23—81no—
556C23—81no—
557C23—81no—
558C23—81no—
559C23—81no—
560C23—81no—
561C23—81no—
562C23#38014yes—
563C23C2×#10214yes—
564C23#41714yes—
565C23#45914yes—
566C23#46114yes—
567C23#47414yes—
568C23#47614yes—
569C23C22×C22⋊C411yescharacteristic
570C23C2×#12011yescharacteristic
571C23C2×#12111yescharacteristic
572C23C2×C22⋊Q811yescharacteristic
573C23C2×#12311yescharacteristic
574C23#53511yescharacteristic
575C23#53611yescharacteristic
576C23C22×D811yescharacteristic
577C23C22×SD1611yescharacteristic
578C23C2×AGL(1,ℤ/8)11yescharacteristic
579C23C2×AGL(1,ℤ/8)11yescharacteristic
580C23C2×AGL(1,ℤ/8)11yescharacteristic
581C23C2×#13711yescharacteristic
582C23C2×#13711yescharacteristic
583C23C2×#13711yescharacteristic
584D4—28no—
585D4—432no—
586D4—44no—
587D4—44no—
588D4—44no—
589C2×C4—232no—
590C2×C4—22no—
591C2×C4—22no—
592C2×C4—22no—
593C2×C4—22no—
594C2×C4—22no—
595C2×C4—22no—
596C2×C4—22no—
597C2×C4—22no—
598C2×C4—22no—
599C2×C4—22no—
600C2×C4—22no—
601C2×C4—22no—
602C2×C4—22no—
603C2×C4—22no—
604C2×C4—22no—
605C2×C4—22no—
606C2×C4—22no—
607C2×C4—22no—
608C2×C4—22no—
609C2×C4—22no—
610C2×C4—22no—
611C2×C4—22no—
612C2×C4—22no—
613C2×C4—22no—
614C2×C4—28no—
615C2×C4—28no—
616C2×C4—232no—
617C2×C4—28no—
618C2×C4—28no—
619C2×C4—24no—
620C2×C4—42no—
621C2×C4—42no—
622C2×C4—42no—
623C2×C4—42no—
624C2×C4—42no—
625C2×C4—42no—
626C2×C4—42no—
627C2×C4—42no—
628C2×C4—42no—
629C2×C4—42no—
630C2×C4—42no—
631C2×C4—48no—
632C2×C4—48no—
633C2×C4—48no—
634C2×C4—42no—
635C2×C4—832no—
636C2×C4—81no—
637C2×C4—81no—
638C2×C4—81no—
639C2×C4—84no—
640C2×C4—81no—
641C2×C4—84no—
642C2×C4—81no—
643C2×C4—81no—
644C2×C4—81no—
645C2×C4—81no—
646C2×C4—84no—
647C2×C4—84no—
648C2×C4—816no—
649C2×C4#38014yes—
650C2×C4#38614yes—
651C2×C4#38614yes—
652C2×C4C2×#10214yes—
653C2×C4C2×#10214yes—
654C2×C4#41714yes—
655C2×C4#41714yes—
656C2×C4#44714yes—
657C2×C4#44814yes—
658C2×C4#48014yes—
659C2×C4#48114yes—
660C2×C4C22×C4⋊C411yescharacteristic
661C2×C4C2×#11711yescharacteristic
662C2×C4C2×C4×D412yes—
663C2×C4#52012yes—
664C2×C4C2×#12111yescharacteristic
665C2×C4C2×#12112yes—
666C2×C4C2×C22⋊Q811yescharacteristic
667C2×C4#53712yes—
668C2×C4D4212yes—
669C2×C4#54612yes—
670C2×C4#54712yes—
671C2×C4#54812yes—
672C2×C4D4×Q812yes—
673C2×C4#55212yes—
674C2×C4#55312yes—
675C2×C4#55412yes—
676C8—84no—
677C22—24no—
678C22—24no—
679C22—24no—
680C22—24no—
681C22—24no—
682C22—24no—
683C22—24no—
684C22—24no—
685C22—24no—
686C22—24no—
687C22—24no—
688C22—24no—
689C22—24no—
690C22—24no—
691C22—44no—
692C22—44no—
693C22—44no—
694C22—82no—
695C22—82no—
696C22—82no—
697C22—82no—
698C22—82no—
699C22—82no—
700C22—82no—
701C22—82no—
702C22—82no—
703C22—82no—
704C22—82no—
705C22—82no—
706C22#180218yescomplemented
707C22C2×#38011yescharacteristic
708C22C2×#38611yescharacteristic
709C22#231111yescharacteristic
710C22#240811yescharacteristic
711C22#240911yescharacteristic
712C22#248611yescharacteristic
713C22#248711yescharacteristic
714C22C22×#10211yescharacteristic
715C22C2×#41711yescharacteristic
716C22C2×#41711yescharacteristic
717C22C2×#41711yescharacteristic
718C22C2×#44711yescharacteristic
719C22C2×#44811yescharacteristic
720C22#300311yescharacteristic
721C22#300411yescharacteristic
722C22C2×#45911yescharacteristic
723C22C2×#46111yescharacteristic
724C22#303811yescharacteristic
725C22#303911yescharacteristic
726C22C2×#47411yescharacteristic
727C22C2×#47611yescharacteristic
728C22#307911yescharacteristic
729C22#307911yescharacteristic
730C22C2×#48011yescharacteristic
731C22C2×#48111yescharacteristic
732C22#309211yescharacteristic
733C22#309211yescharacteristic
734C22#320511yescharacteristic
735C22#320611yescharacteristic
736C22#321711yescharacteristic
737C22#321811yescharacteristic
738C22#322611yescharacteristic
739C22#322711yescharacteristic
740C22#323811yescharacteristic
741C22#323911yescharacteristic
742C4—24no—
743C4—24no—
744C4—24no—
745C4—24no—
746C4—44no—
747C4—82no—
748C4—88no—
749C4—82no—
750C4#187418yescomplemented
751C4D4×C4⋊C412yes—
752C4#235212yes—
753C4#241612yes—
754C4#241712yes—
755C2—28no—
756C2—84no—
757C2#1387211yescharacteristic
758C2C2×#180211yescharacteristic
759C2#2064811yescharacteristic
760C2C2×#187411yescharacteristic
761C2#2090911yescharacteristic
762C2#2185911yescharacteristic
763C2#2186711yescharacteristic
764C2#2420811yescharacteristic
765C2#2420911yescharacteristic
766C2#2429811yescharacteristic
767C2#2429911yescharacteristic
768C2#2764411yescharacteristic
769C2#2764511yescharacteristic
770C2#2767711yescharacteristic
771C2#2767811yescharacteristic
subgroupG/H
center, socleC24C22×D4
commutatorC22×C4C23×C4
Frattini, cosocleC23×C4C24
prime radicalC22×#121C22
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C24 ◁ C23×C42 ◁ G
LECSG ▷ C23×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
2. C22×#384C2semidirect
4. C2×#1802C2semidirect
5. C2×#1797C2semidirect
6. #11207C2semidirect
7. #11049C2semidirect
8. #10849C2semidirect
9. #10730C2semidirect
21. C4×#121C4semidirect
61. C2×C4×D4C2×C4semidirect
106. #390C2×C4semidirect
108. #389C2×C4semidirect
115. #384D4semidirect
119. C4×C4⋊C4C2×C4semidirect
205. #121C4⋊C4semidirect
344. C2×D4C2×C4⋊C4semidirect
428. C22×C4#102semidirect
486. C4⋊C4C2×C4⋊C4semidirect
706. C22#1802semidirect
750. C4#1874semidirect

Maximal subgroups

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

subgroupindex
C2×C4×#1212
C22×#3842
C2×#18742
C2×#18022
C2×#17972
#112072
#110492
#108492
#107302