Finite Group Databasebeta

← #664407

Subgroups — #664407

Order 512.

3450 conjugacy classes of subgroups.

The subgroup lattice has 797 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#2854C211yesmaximal, characteristic
2C2×#2504C211yesmaximal, characteristic
3C2×#2361C211yesmaximal, characteristic
4C22×#389C211yesmaximal, characteristic, complemented
5#15840C214yesmaximal, complemented
6#15290C214yesmaximal, complemented
7#15225C212yesmaximal, complemented
8#15138C212yesmaximal, complemented
9#14927C212yesmaximal, complemented
10#14776C212yesmaximal, complemented
11#14006C212yesmaximal, complemented
12#13968C212yesmaximal, complemented
13#13924C211yesmaximal, characteristic, complemented
14#13920C212yesmaximal, complemented
15#13907C211yesmaximal, characteristic, complemented
16#13872C212yesmaximal, complemented
17C4×#381C211yesmaximal, characteristic, complemented
18C22×#123C2212yes—
19C22×#121C2211yescharacteristic
20C22×C4×D4C2211yescharacteristic
21C22×C4×D4C2212yes—
22C23×C4⋊C4C2211yescharacteristic
23C23×C4⋊C4C2211yescharacteristic
24C23×C4⋊C4C2212yes—
25C23×C42C2211yescharacteristic
26#2854—28no—
27#2504—28no—
28C2×#397C2214yes—
29C2×#397C2214yes—
30#2361—28no—
31C2×#390C2212yes—
32C2×#390C2211yescharacteristic
33C2×#390C2212yes—
34C2×#389—28no—
35C2×#389C2212yes—
36C2×#389C2212yes—
37C2×#389C2212yes—
38C2×#389C2211yescharacteristic
39C2×#389C2212yes—
40C2×#389C2214yes—
41C2×#388C2214yes—
42C2×#388C2212yes—
43C2×#386C2212yes—
44C2×#386C2212yes—
45C2×#386C2212yes—
46C2×#386C2212yes—
47C2×#385C2212yes—
48C2×#382C2212yes—
49C2×#381C2211yescharacteristic
50C2×#381C2211yescharacteristic
51C2×#380C2211yescharacteristic
52C2×#380C2212yes—
53C2×#380C2214yes—
54C2×C4×C4⋊C4C2211yescharacteristic
55C2×C4×C22⋊C4C2211yescharacteristic
56C2×C4×C22⋊C4C2211yescharacteristic
57C22×#95C2212yes—
58#1445C2212yes—
59#1445C2212yes—
60#1445C2214yes—
61#1442C2214yes—
62#1442C2214yes—
63#1441C2214yes—
64#1441C2214yes—
65#1441C2214yes—
66#1441C2214yes—
67#1440C2214yes—
68#1440C2214yes—
69#1439C2214yes—
70#1439C2214yes—
71#1439C2214yes—
72#1436C2214yes—
73C4⋊#95C2212yes—
74C4⋊#95C2212yes—
75C4⋊#95C2214yes—
76C4⋊#95C2212yes—
77#1434C2212yes—
78#1434C2212yes—
79C22⋊#95C2211yescharacteristic
80C22⋊#95C2212yes—
81C22⋊#95C2212yes—
82C22⋊#95C2212yes—
83C22⋊#95C2214yes—
84C22⋊#95C2211yescharacteristic
85C4×#95C2212yes—
86C4×#95C2212yes—
87C23×D4C2312yes—
88C23×D4C2311yescharacteristic
89C24×C4C2311yescharacteristic
90C24×C4C2311yescharacteristic
91C24×C4C2312yes—
92C24×C4C2312yes—
93C24×C4C2311yescharacteristic
94C24×C4C2312yes—
95C2×#123—28no—
96C2×#123—28no—
97C2×#123—44no—
98C2×#121—24no—
99C2×#121—24no—
100C2×#121D418yes—
101C2×C4×D4—28no—
102C2×C4×D4—24no—
103C2×C4×D4—28no—
104C2×C4×D4—28no—
105C2×C4×D4—44no—
106C22×C4⋊C4—28no—
107C22×C4⋊C4—24no—
108C22×C4⋊C4—28no—
109C22×C4⋊C4—24no—
110C22×C4⋊C4—24no—
111C22×C4⋊C4—48no—
112C22×C4⋊C4D418yes—
113C22×C4⋊C4C2312yes—
114C22×C4⋊C4C2312yes—
115C22×C4⋊C4C2312yes—
116C22×C4⋊C4C2314yes—
117C22×C4⋊C4C2314yes—
118C22×C4⋊C4C2312yes—
119C22×C4⋊C4C2314yes—
120C22×C4⋊C4C2311yescharacteristic
121C22×C4⋊C4C2312yes—
122C22×C4⋊C4C2311yescharacteristic
123C22×C4⋊C4C2314yes—
124C22×C4⋊C4C2311yescharacteristic
125C22×C22⋊C4C2312yes—
126C22×C22⋊C4C2312yes—
127C22×C22⋊C4C2311yescharacteristic
128C22×C22⋊C4C2311yescharacteristic
129C22×C22⋊C4C2311yescharacteristic
130C22×C22⋊C4C2314yes—
131C22×C22⋊C4C2312yes—
132C22×C22⋊C4C2314yes—
133C22×C22⋊C4C2312yes—
134C22×C22⋊C4C2311yescharacteristic
135C22×C22⋊C4C2314yes—
136C22×C22⋊C4C2312yes—
137C22×C22⋊C4C2314yes—
138C22×C42—24no—
139C22×C42—24no—
140C22×C42—24no—
141C22×C42C2312yes—
142C22×C42C2312yes—
143C22×C42C2311yescharacteristic
144C22×C42C2311yescharacteristic
145C22×C42C2312yes—
146C22×C42C2312yes—
147#397—216no—
148#397—48no—
149#390—28no—
150#390—28no—
151#390—24no—
152#389—28no—
153#389—24no—
154#389—216no—
155#389—28no—
156#389—28no—
157#389—28no—
158#388—28no—
159#388—216no—
160#386—28no—
161#386—28no—
162#386—28no—
163#386—28no—
164#385—28no—
165#382—28no—
166#381—24no—
167#381—24no—
168#380—24no—
169#380—48no—
170#380—44no—
171C4×C4⋊C4—24no—
172C4×C22⋊C4—24no—
173C4×C22⋊C4—24no—
174C2×#95—28no—
175C2×#95C2312yes—
176C2×#95C2312yes—
177C2×#95C2314yes—
178C2×#95C2314yes—
179C2×#95C2312yes—
180C2×#95C2312yes—
181C2×#95C2312yes—
182C2×#95C2312yes—
183C2×#95C2312yes—
184C2×#95C2314yes—
185C2×#95C2314yes—
186C2×#95C2311yescharacteristic
187C2×#95C2311yescharacteristic
188C2×#95C2314yes—
189C2×#95C2314yes—
190C2×#95C2312yes—
191C2×#95C2312yes—
192C2×#95C2312yes—
193C2×#95C2314yes—
194C2×#95C2314yes—
195C2×#95C2312yes—
196C2×#95C2312yes—
197C2×#95C2314yes—
198C2×#95C2314yes—
199C2×#95C2314yes—
200C2×#95C2314yes—
201C25C2412yes—
202C25C2411yescharacteristic
203C22×D4—24no—
204C22×D4—24no—
205C22×D4—24no—
206C22×D4—24no—
207C22×D4—24no—
208C22×D4—24no—
209C22×D4—22no—
210C22×D4—24no—
211C22×D4—22no—
212C22×D4—24no—
213C22×D4C2×D418yes—
214C22×D4C2×D414yes—
215C23×C4—24no—
216C23×C4—24no—
217C23×C4—22no—
218C23×C4—22no—
219C23×C4—22no—
220C23×C4—24no—
221C23×C4—22no—
222C23×C4—22no—
223C23×C4—24no—
224C23×C4—22no—
225C23×C4—22no—
226C23×C4—28no—
227C23×C4—24no—
228C23×C4—24no—
229C23×C4—22no—
230C23×C4—22no—
231C23×C4—24no—
232C23×C4—24no—
233C23×C4—24no—
234C23×C4—24no—
235C23×C4—28no—
236C23×C4—44no—
237C23×C4—42no—
238C23×C4—44no—
239C23×C4—42no—
240C23×C4—44no—
241C23×C4—44no—
242C23×C4C2×D418yes—
243C23×C4C2×D414yes—
244C23×C4C2×D414yes—
245C23×C4#4114yes—
246C23×C4#4114yes—
247C23×C4C2414yes—
248C23×C4C2412yes—
249C23×C4C2412yes—
250C23×C4C2411yescharacteristic
251C23×C4C2411yescharacteristic
252C23×C4C2414yes—
253C23×C4C2412yes—
254C23×C4C2412yes—
255C23×C4C2411yescharacteristic
256C23×C4C2412yes—
257C23×C4C2411yescharacteristic
258C23×C4C2412yes—
259C23×C4C2411yescharacteristic
260C23×C4C2412yes—
261C23×C4C2411yescharacteristic
262#123—432no—
263#121—232no—
264C4×D4—432no—
265C4×D4—416no—
266C2×C4⋊C4—22no—
267C2×C4⋊C4—28no—
268C2×C4⋊C4—24no—
269C2×C4⋊C4—22no—
270C2×C4⋊C4—232no—
271C2×C4⋊C4—24no—
272C2×C4⋊C4—28no—
273C2×C4⋊C4—28no—
274C2×C4⋊C4—24no—
275C2×C4⋊C4—24no—
276C2×C4⋊C4—24no—
277C2×C4⋊C4—24no—
278C2×C4⋊C4—28no—
279C2×C4⋊C4—24no—
280C2×C4⋊C4—24no—
281C2×C4⋊C4—24no—
282C2×C4⋊C4—24no—
283C2×C4⋊C4—28no—
284C2×C4⋊C4—24no—
285C2×C4⋊C4—28no—
286C2×C4⋊C4—28no—
287C2×C4⋊C4—24no—
288C2×C4⋊C4—28no—
289C2×C4⋊C4—44no—
290C2×C4⋊C4—44no—
291C2×C4⋊C4—42no—
292C2×C4⋊C4—44no—
293C2×C4⋊C4—432no—
294C2×C4⋊C4—416no—
295C2×C4⋊C4—44no—
296C2×C4⋊C4—44no—
297C2×C4⋊C4C2×D418yes—
298C2×C4⋊C4C2×D414yes—
299C2×C4⋊C4C2×D414yes—
300C2×C4⋊C4C2×D414yes—
301C2×C4⋊C4#4118yes—
302C2×C22⋊C4—22no—
303C2×C22⋊C4—22no—
304C2×C22⋊C4—24no—
305C2×C22⋊C4—24no—
306C2×C22⋊C4—24no—
307C2×C22⋊C4—28no—
308C2×C22⋊C4—22no—
309C2×C22⋊C4—22no—
310C2×C22⋊C4—22no—
311C2×C22⋊C4—28no—
312C2×C22⋊C4—24no—
313C2×C22⋊C4—22no—
314C2×C22⋊C4—22no—
315C2×C22⋊C4—22no—
316C2×C22⋊C4—24no—
317C2×C22⋊C4—22no—
318C2×C22⋊C4—22no—
319C2×C22⋊C4—22no—
320C2×C22⋊C4—24no—
321C2×C22⋊C4—24no—
322C2×C22⋊C4—24no—
323C2×C22⋊C4—28no—
324C2×C22⋊C4—28no—
325C2×C22⋊C4—28no—
326C2×C22⋊C4—28no—
327C2×C22⋊C4—28no—
328C2×C22⋊C4—24no—
329C2×C22⋊C4—44no—
330C2×C22⋊C4—42no—
331C2×C22⋊C4—44no—
332C2×C22⋊C4—44no—
333C2×C22⋊C4—44no—
334C2×C22⋊C4—44no—
335C2×C22⋊C4—44no—
336C2×C22⋊C4—44no—
337C2×C22⋊C4C2×D418yes—
338C2×C22⋊C4#4114yes—
339C2×C42—22no—
340C2×C42—24no—
341C2×C42—22no—
342C2×C42—24no—
343C2×C42—24no—
344C2×C42—24no—
345C2×C42—24no—
346C2×C42—24no—
347C2×C42—24no—
348C2×C42—24no—
349C2×C42—24no—
350C2×C42—24no—
351C2×C42—24no—
352C2×C42—24no—
353C2×C42—24no—
354C2×C42—42no—
355C2×C42—416no—
356#95—28no—
357#95—28no—
358#95—22no—
359#95—22no—
360#95—24no—
361#95—24no—
362#95—24no—
363#95—28no—
364#95—28no—
365#95—28no—
366#95—24no—
367#95—24no—
368#95—24no—
369#95—24no—
370#95—24no—
371#95—28no—
372#95—24no—
373#95—24no—
374#95—42no—
375#95—44no—
376#95—42no—
377#95—44no—
378#95—44no—
379#95—44no—
380#95—44no—
381#95—44no—
382C24—22no—
383C24—22no—
384C24—22no—
385C24—22no—
386C24—22no—
387C24—22no—
388C24—24no—
389C24—22no—
390C24—22no—
391C24—24no—
392C24—22no—
393C24—24no—
394C24—22no—
395C24—24no—
396C24C22×D414yes—
397C24C22×D412yes—
398C24C22×D412yes—
399C24C2×#4112yes—
400C24C2×#4112yes—
401C24C2×#4112yes—
402C24H(5,𝔽2)12yes—
403C242−1+412yes—
404C24C2511yescharacteristic
405C2×D4—216no—
406C2×D4—216no—
407C2×D4—216no—
408C2×D4—28no—
409C2×D4—216no—
410C2×D4—48no—
411C2×D4—48no—
412C2×D4—48no—
413C2×D4—48no—
414C2×D4—44no—
415C2×D4—44no—
416C2×D4—48no—
417C22×C4—22no—
418C22×C4—22no—
419C22×C4—22no—
420C22×C4—24no—
421C22×C4—22no—
422C22×C4—28no—
423C22×C4—28no—
424C22×C4—216no—
425C22×C4—216no—
426C22×C4—28no—
427C22×C4—28no—
428C22×C4—216no—
429C22×C4—28no—
430C22×C4—28no—
431C22×C4—22no—
432C22×C4—22no—
433C22×C4—22no—
434C22×C4—21no—
435C22×C4—21no—
436C22×C4—22no—
437C22×C4—22no—
438C22×C4—22no—
439C22×C4—22no—
440C22×C4—22no—
441C22×C4—22no—
442C22×C4—22no—
443C22×C4—22no—
444C22×C4—22no—
445C22×C4—24no—
446C22×C4—22no—
447C22×C4—22no—
448C22×C4—22no—
449C22×C4—24no—
450C22×C4—21no—
451C22×C4—22no—
452C22×C4—21no—
453C22×C4—22no—
454C22×C4—22no—
455C22×C4—22no—
456C22×C4—22no—
457C22×C4—22no—
458C22×C4—22no—
459C22×C4—22no—
460C22×C4—22no—
461C22×C4—216no—
462C22×C4—21no—
463C22×C4—21no—
464C22×C4—22no—
465C22×C4—22no—
466C22×C4—24no—
467C22×C4—24no—
468C22×C4—24no—
469C22×C4—22no—
470C22×C4—22no—
471C22×C4—22no—
472C22×C4—21no—
473C22×C4—21no—
474C22×C4—24no—
475C22×C4—22no—
476C22×C4—22no—
477C22×C4—24no—
478C22×C4—24no—
479C22×C4—22no—
480C22×C4—22no—
481C22×C4—22no—
482C22×C4—24no—
483C22×C4—22no—
484C22×C4—24no—
485C22×C4—24no—
486C22×C4—24no—
487C22×C4—22no—
488C22×C4—22no—
489C22×C4—22no—
490C22×C4—22no—
491C22×C4—21no—
492C22×C4—21no—
493C22×C4—24no—
494C22×C4—22no—
495C22×C4—24no—
496C22×C4—22no—
497C22×C4—22no—
498C22×C4—24no—
499C22×C4—24no—
500C22×C4—48no—
501C22×C4—48no—
502C22×C4—416no—
503C22×C4—416no—
504C22×C4—416no—
505C22×C4—48no—
506C22×C4—48no—
507C22×C4—44no—
508C22×C4—44no—
509C22×C4—44no—
510C22×C4—44no—
511C22×C4—44no—
512C22×C4—44no—
513C22×C4—48no—
514C22×C4—48no—
515C22×C4—48no—
516C22×C4—48no—
517C22×C4—84no—
518C22×C4—88no—
519C22×C4—88no—
520C22×C4—88no—
521C22×C4#121116yes—
522C22×C4C22×D414yes—
523C22×C4C22×D414yes—
524C22×C4C22×D412yes—
525C22×C4C22×D412yes—
526C22×C4C22×D414yes—
527C22×C4C22×D412yes—
528C22×C4C22×D412yes—
529C22×C4C2×#4112yes—
530C22×C4C2×#4114yes—
531C22×C4C2×#4112yes—
532C22×C4C2×#4112yes—
533C22×C4C2×#4118yes—
534C22×C4C2×#4112yes—
535C22×C4C2×#4114yes—
536C22×C4H(5,𝔽2)14yes—
537C22×C42−1+414yes—
538C4⋊C4—28no—
539C4⋊C4—216no—
540C4⋊C4—28no—
541C4⋊C4—416no—
542C4⋊C4—416no—
543C4⋊C4—48no—
544C4⋊C4—416no—
545C4⋊C4—48no—
546C4⋊C4—48no—
547C4⋊C4—48no—
548C4⋊C4—88no—
549C4⋊C4#123116yescomplemented
550C22⋊C4—28no—
551C22⋊C4—216no—
552C22⋊C4—48no—
553C22⋊C4—416no—
554C22⋊C4—416no—
555C22⋊C4—44no—
556C22⋊C4—48no—
557C22⋊C4—44no—
558C22⋊C4—44no—
559C22⋊C4—48no—
560C22⋊C4—84no—
561C22⋊C4—88no—
562C22⋊C4—88no—
563C42—48no—
564C42—48no—
565C42—48no—
566C42—44no—
567C42—44no—
568C42—48no—
569C23—22no—
570C23—22no—
571C23—24no—
572C23—24no—
573C23—24no—
574C23—24no—
575C23—22no—
576C23—22no—
577C23—24no—
578C23—24no—
579C23—24no—
580C23—24no—
581C23—24no—
582C23—24no—
583C23—24no—
584C23—24no—
585C23—24no—
586C23—24no—
587C23—24no—
588C23—28no—
589C23—28no—
590C23—42no—
591C23—42no—
592C23—42no—
593C23—42no—
594C23—42no—
595C23—42no—
596C23—44no—
597C23—44no—
598C23—44no—
599C23—42no—
600C23—42no—
601C23—44no—
602C23—44no—
603C23—44no—
604C23—44no—
605C23—44no—
606C23—44no—
607C23—44no—
608C23C2×#12114yes—
609C23#52914yes—
610C23#54214yes—
611C23#54614yes—
612C23#54614yes—
613C23#54714yes—
614C23#54814yes—
615C23C23×D411yescharacteristic
616C23C23×D411yescharacteristic
617C23C22×#4111yescharacteristic
618C23C22×#4112yes—
619C23C22×#4111yescharacteristic
620C23C22×#4111yescharacteristic
621C23C2×H(5,𝔽2)11yescharacteristic
622C23C2×H(5,𝔽2)12yes—
623C23C2×2−1+412yes—
624C23C2×2−1+411yescharacteristic
625C23#58512yes—
626D4—432no—
627D4—416no—
628C2×C4—22no—
629C2×C4—22no—
630C2×C4—24no—
631C2×C4—24no—
632C2×C4—24no—
633C2×C4—28no—
634C2×C4—24no—
635C2×C4—28no—
636C2×C4—232no—
637C2×C4—24no—
638C2×C4—24no—
639C2×C4—24no—
640C2×C4—22no—
641C2×C4—22no—
642C2×C4—24no—
643C2×C4—24no—
644C2×C4—24no—
645C2×C4—24no—
646C2×C4—24no—
647C2×C4—24no—
648C2×C4—24no—
649C2×C4—24no—
650C2×C4—24no—
651C2×C4—24no—
652C2×C4—24no—
653C2×C4—432no—
654C2×C4—416no—
655C2×C4—42no—
656C2×C4—42no—
657C2×C4—41no—
658C2×C4—42no—
659C2×C4—41no—
660C2×C4—416no—
661C2×C4—42no—
662C2×C4—42no—
663C2×C4—42no—
664C2×C4—42no—
665C2×C4—42no—
666C2×C4—42no—
667C2×C4—44no—
668C2×C4—41no—
669C2×C4—41no—
670C2×C4—42no—
671C2×C4—42no—
672C2×C4—42no—
673C2×C4—44no—
674C2×C4—42no—
675C2×C4—42no—
676C2×C4—44no—
677C2×C4—41no—
678C2×C4—41no—
679C2×C4—44no—
680C2×C4—42no—
681C2×C4—42no—
682C2×C4—42no—
683C2×C4—42no—
684C2×C4—44no—
685C2×C4—41no—
686C2×C4—41no—
687C2×C4—42no—
688C2×C4—42no—
689C2×C4—44no—
690C2×C4—42no—
691C2×C4—41no—
692C2×C4—44no—
693C2×C4—41no—
694C2×C4—44no—
695C2×C4—44no—
696C2×C4—42no—
697C2×C4—42no—
698C2×C4—44no—
699C2×C4—44no—
700C2×C4—44no—
701C2×C4—44no—
702C2×C4—42no—
703C2×C4—42no—
704C2×C4—44no—
705C2×C4—42no—
706C2×C4—42no—
707C2×C4—42no—
708C2×C4—42no—
709C2×C4—44no—
710C2×C4—42no—
711C2×C4—42no—
712C2×C4—42no—
713C2×C4—44no—
714C2×C4—816no—
715C2×C4—816no—
716C2×C4C2×#12114yes—
717C2×C4C2×#12114yes—
718C2×C4C2×#12318yes—
719C2×C4C2×#12314yes—
720C2×C4#53614yes—
721C2×C4#54718yes—
722C2×C4#55218yes—
723C22—24no—
724C22—24no—
725C22—28no—
726C22—28no—
727C22—24no—
728C22—28no—
729C22—24no—
730C22—28no—
731C22—24no—
732C22—24no—
733C22—44no—
734C22—48no—
735C22—44no—
736C22—48no—
737C22—44no—
738C22—82no—
739C22—82no—
740C22—84no—
741C22—84no—
742C22—82no—
743C22—82no—
744C22#242718yes—
745C22C22×#12111yescharacteristic
746C22C22×#12311yescharacteristic
747C22C2×#52911yescharacteristic
748C22C2×#53611yescharacteristic
749C22C2×#54211yescharacteristic
750C22C2×#54611yescharacteristic
751C22C2×#54611yescharacteristic
752C22C2×#54711yescharacteristic
753C22C2×#54712yes—
754C22C2×#54811yescharacteristic
755C22C2×#55212yes—
756C22#348012yes—
757C22#348112yes—
758C22#348411yescharacteristic
759C22#348711yescharacteristic
760C22#348812yes—
761C22#349412yes—
762C22#351112yes—
763C22#351512yes—
764C22#351612yes—
765C22#351912yes—
766C22#355212yes—
767C22#355912yes—
768C4—28no—
769C4—24no—
770C4—44no—
771C4—44no—
772C4—44no—
773C4—42no—
774C4—44no—
775C4—42no—
776C4—81no—
777C4—82no—
778C4—81no—
779C4—84no—
780C4—82no—
781C4—84no—
782C4#248618yes—
783C2—28no—
784C2—84no—
785C2C2×#242711yescharacteristic
786C2C2×#248611yescharacteristic
787C2#3556311yescharacteristic
788C2#3623611yescharacteristic
789C2#3629412yes—
790C2#3657811yescharacteristic
791C2#3806812yes—
792C2#3890711yescharacteristic
793C2#3972011yescharacteristic
794C2#5906212yes—
795C2#5911012yes—
subgroupG/H
center, commutator, Frattini, socle, cosocleC24C25
prime radicalC22×#121C22
LCSG ▷ C24 ▷ C1
UCSC1 ◁ C24 ◁ G
LECSG ▷ C24 ▷ C1

Complements

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

NH ≅ G/Ntype
4. C22×#389C2semidirect
5. #15840C2semidirect
6. #15290C2semidirect
7. #15225C2semidirect
8. #15138C2semidirect
9. #14927C2semidirect
10. #14776C2semidirect
11. #14006C2semidirect
12. #13968C2semidirect
13. #13924C2semidirect
14. #13920C2semidirect
15. #13907C2semidirect
16. #13872C2semidirect
17. C4×#381C2semidirect
549. C4⋊C4#123semidirect

Maximal subgroups

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

subgroupindex
C2×#28542
C2×#25042
C2×#23612
C22×#3892
#158402
#152902
#152252
#151382
#149272
#147762
#140062
#139682
#139242
#139202
#139072
#138722
C4×#3812