Finite Group Databasebeta

← C131×#8408 #45694292

Subgroups — C131×#8408 #45694292

Order 33536.

1040 conjugacy classes of subgroups.

The subgroup lattice has 706 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#538×C131C211yesmaximal, characteristic
2#1874×C131C211yesmaximal, characteristic, complemented
3#1872×C131C211yesmaximal, characteristic, complemented
4C2×#328×C131C211yesmaximal, characteristic, complemented
5C2×#327×C131C211yesmaximal, characteristic, complemented
6C2×#323×C131C211yesmaximal, characteristic, complemented
7#1439×C131C211yesmaximal, characteristic, complemented
8#538×C131—22no—
9#538×C131—22no—
10#538×C131—22no—
11#538×C131C414yescomplemented
12C2×#126×C131—21no—
13C2×#124×C131—21no—
14C2×#123×C131—21no—
15C2×C22⋊Q8×C131C2211yescharacteristic
16C2×#121×C131—21no—
17C2×#121×C131C2211yescharacteristic
18C2×#120×C131—21no—
19C2×C4×D4×C131—21no—
20C22×C4⋊C4×C131C2211yescharacteristic
21C22×C22⋊C4×C131—21no—
22C22×C22⋊C4×C131C2211yescharacteristic
23C2×#103×C131—21no—
24C2×#102×C131—21no—
25C2×C22⋊C8×C131C2211yescharacteristic
26C2×C22⋊C8×C131C2211yescharacteristic
27C2×#95×C131—21no—
28C2×#95×C131C2211yescharacteristic
29#340×C131—21no—
30#340×C131—21no—
31#328×C131—22no—
32#327×C131—22no—
33#323×C131—22no—
34C25×C131D411yescharacteristic
35C22×Q8×C131D411yescharacteristic
36C22×D4×C131—21no—
37C22×D4×C131—21no—
38C22×D4×C131—21no—
39C22×D4×C131D411yescharacteristic
40C23×C4×C131—21no—
41C23×C4×C131—21no—
42C23×C4×C131—21no—
43C23×C4×C131D411yescharacteristic
44C23×C4×C131C2311yescharacteristic
45C22×C8×C131—21no—
46C22×C8×C131—21no—
47#126×C131—24no—
48#126×C131—24no—
49#124×C131—24no—
50#124×C131—24no—
51#123×C131—24no—
52#123×C131—24no—
53C22⋊Q8×C131—21no—
54C22⋊Q8×C131—21no—
55C22⋊Q8×C131C2×C412yes—
56C22⋊Q8×C131D412yes—
57#121×C131—24no—
58#121×C131—24no—
59#121×C131—21no—
60#121×C131—21no—
61#121×C131C2×C412yes—
62#121×C131D412yes—
63#120×C131—24no—
64#120×C131—24no—
65C4×D4×C131—24no—
66C4×D4×C131—24no—
67C2×C4⋊C4×C131—21no—
68C2×C4⋊C4×C131—21no—
69C2×C4⋊C4×C131—21no—
70C2×C4⋊C4×C131—21no—
71C2×C4⋊C4×C131—42no—
72C2×C4⋊C4×C131D411yescharacteristic
73C2×C4⋊C4×C131D411yescharacteristic
74C2×C22⋊C4×C131—21no—
75C2×C22⋊C4×C131—21no—
76C2×C22⋊C4×C131—21no—
77C2×C22⋊C4×C131—21no—
78C2×C22⋊C4×C131—21no—
79C2×C22⋊C4×C131—21no—
80C2×C22⋊C4×C131—21no—
81C2×C22⋊C4×C131—21no—
82C2×C22⋊C4×C131—21no—
83C2×C22⋊C4×C131—42no—
84C2×C22⋊C4×C131—42no—
85C2×C22⋊C4×C131—42no—
86C2×C22⋊C4×C131C2×C412yes—
87C2×C22⋊C4×C131D412yes—
88C2×C42×C131—21no—
89#103×C131—42no—
90#102×C131—42no—
91C22⋊C8×C131—21no—
92C22⋊C8×C131—21no—
93C22⋊C8×C131—21no—
94C22⋊C8×C131—21no—
95#95×C131—21no—
96#95×C131—21no—
97#95×C131—42no—
98C24×C131—21no—
99C24×C131—21no—
100C24×C131—21no—
101C24×C131—21no—
102C24×C131—21no—
103C24×C131—21no—
104C24×C131—21no—
105C24×C131—41no—
106C24×C131—41no—
107C24×C131—41no—
108C24×C131—41no—
109C24×C131C22⋊C412yes—
110C24×C131C2×D411yescharacteristic
111C2×Q8×C131—21no—
112C2×Q8×C131—41no—
113C2×Q8×C131—41no—
114C2×Q8×C131C22⋊C412yescomplemented
115C2×D4×C131—22no—
116C2×D4×C131—22no—
117C2×D4×C131—24no—
118C2×D4×C131—24no—
119C2×D4×C131—21no—
120C2×D4×C131—41no—
121C2×D4×C131—41no—
122C2×D4×C131—41no—
123C2×D4×C131—41no—
124C2×D4×C131—41no—
125C2×D4×C131—41no—
126C2×D4×C131—81no—
127C2×D4×C131—81no—
128C2×D4×C131—81no—
129C2×D4×C131—81no—
130C2×D4×C131C22⋊C412yescomplemented
131C22×C4×C131—21no—
132C22×C4×C131—21no—
133C22×C4×C131—21no—
134C22×C4×C131—21no—
135C22×C4×C131—24no—
136C22×C4×C131—21no—
137C22×C4×C131—22no—
138C22×C4×C131—22no—
139C22×C4×C131—41no—
140C22×C4×C131—41no—
141C22×C4×C131—41no—
142C22×C4×C131—41no—
143C22×C4×C131—41no—
144C22×C4×C131—41no—
145C22×C4×C131—41no—
146C22×C4×C131—41no—
147C22×C4×C131—41no—
148C22×C4×C131—41no—
149C22×C4×C131—41no—
150C22×C4×C131—41no—
151C22×C4×C131—41no—
152C22×C4×C131—41no—
153C22×C4×C131—41no—
154C22×C4×C131—41no—
155C22×C4×C131—81no—
156C22×C4×C131—81no—
157C22×C4×C131C22⋊C412yes—
158C22×C4×C131C22×C411yescharacteristic
159C22×C4×C131C2×D411yescharacteristic
160C22×C4×C131C2×D411yescharacteristic
161C22×C4×C131C2×D411yescharacteristic
162C22×C4×C131C2×D411yescharacteristic
163C22×C4×C131C2×D411yescharacteristic
164C2×C8×C131—41no—
165C2×C8×C131—41no—
166C2×C8×C131—41no—
167C2×C8×C131—41no—
168C2×C8×C131—41no—
169C2×C8×C131—41no—
170C4⋊C4×C131—24no—
171C4⋊C4×C131—22no—
172C4⋊C4×C131—22no—
173C4⋊C4×C131—21no—
174C4⋊C4×C131—21no—
175C4⋊C4×C131—22no—
176C4⋊C4×C131—22no—
177C4⋊C4×C131—41no—
178C4⋊C4×C131—41no—
179C4⋊C4×C131C22⋊C412yescomplemented
180C4⋊C4×C131C22⋊C412yescomplemented
181C22⋊C4×C131—24no—
182C22⋊C4×C131—24no—
183C22⋊C4×C131—24no—
184C22⋊C4×C131—22no—
185C22⋊C4×C131—22no—
186C22⋊C4×C131—22no—
187C22⋊C4×C131—22no—
188C22⋊C4×C131—22no—
189C22⋊C4×C131—22no—
190C22⋊C4×C131—22no—
191C22⋊C4×C131—22no—
192C22⋊C4×C131—48no—
193C42×C131—24no—
194C23×C131—21no—
195C23×C131—21no—
196C23×C131—21no—
197C23×C131—21no—
198C23×C131—22no—
199C23×C131—22no—
200C23×C131—22no—
201C23×C131—22no—
202C23×C131—42no—
203C23×C131—42no—
204C23×C131—42no—
205C23×C131—42no—
206C23×C131—42no—
207C23×C131—42no—
208C23×C131—41no—
209C23×C131—41no—
210C23×C131—41no—
211C23×C131—41no—
212C23×C131—41no—
213C23×C131—41no—
214C23×C131—41no—
215C23×C131—41no—
216C23×C131—41no—
217C23×C131—41no—
218C23×C131—41no—
219C23×C131—41no—
220C23×C131—41no—
221C23×C131—41no—
222C23×C131—81no—
223C23×C131—81no—
224C23×C131—81no—
225C23×C131—81no—
226C23×C131—81no—
227C23×C131—81no—
228C23×C131C2×C22⋊C411yescharacteristic
229C23×C131#12011yescharacteristic
230C23×C131#12011yescharacteristic
231C23×C131#13511yescharacteristic
232C23×C131#13511yescharacteristic
233C23×C131AGL(1,ℤ/8)11yescharacteristic
234C23×C131#13711yescharacteristic
235Q8×C131—42no—
236Q8×C131—81no—
237D4×C131—42no—
238D4×C131—42no—
239D4×C131—42no—
240D4×C131—42no—
241D4×C131—42no—
242D4×C131—81no—
243D4×C131—84no—
244D4×C131—84no—
245C2×C4×C131—21no—
246C2×C4×C131—21no—
247C2×C4×C131—21no—
248C2×C4×C131—21no—
249C2×C4×C131—22no—
250C2×C4×C131—22no—
251C2×C4×C131—22no—
252C2×C4×C131—22no—
253C2×C4×C131—41no—
254C2×C4×C131—41no—
255C2×C4×C131—41no—
256C2×C4×C131—41no—
257C2×C4×C131—41no—
258C2×C4×C131—41no—
259C2×C4×C131—41no—
260C2×C4×C131—41no—
261C2×C4×C131—41no—
262C2×C4×C131—41no—
263C2×C4×C131—41no—
264C2×C4×C131—41no—
265C2×C4×C131—42no—
266C2×C4×C131—42no—
267C2×C4×C131—42no—
268C2×C4×C131—42no—
269C2×C4×C131—42no—
270C2×C4×C131—42no—
271C2×C4×C131—42no—
272C2×C4×C131—81no—
273C2×C4×C131—84no—
274C2×C4×C131—81no—
275C2×C4×C131—81no—
276C2×C4×C131—81no—
277C2×C4×C131—81no—
278C2×C4×C131—81no—
279C2×C4×C131—81no—
280C2×C4×C131—81no—
281C2×C4×C131—81no—
282C2×C4×C131C2×C22⋊C411yescharacteristic
283C2×C4×C131C2×C22⋊C411yescharacteristic
284C2×C4×C131#12011yescharacteristic
285C2×C4×C131#12011yescharacteristic
286C8×C131—81no—
287C8×C131—81no—
288C22×C131—21no—
289C22×C131—21no—
290C22×C131—21no—
291C22×C131—21no—
292C22×C131—21no—
293C22×C131—21no—
294C22×C131—21no—
295C22×C131—21no—
296C22×C131—21no—
297C22×C131—21no—
298C22×C131—21no—
299C22×C131—21no—
300C22×C131—44no—
301C22×C131—42no—
302C22×C131—42no—
303C22×C131—42no—
304C22×C131—42no—
305C22×C131—42no—
306C22×C131—42no—
307C22×C131—82no—
308C22×C131—82no—
309C22×C131—82no—
310C22×C131—81no—
311C22×C131—81no—
312C22×C131—81no—
313C22×C131—81no—
314C22×C131—81no—
315C22×C131—81no—
316C22×C131—81no—
317C22×C131—81no—
318C22×C131#37911yescharacteristic
319C22×C131#41611yescharacteristic
320C22×C131#41711yescharacteristic
321C22×C131#44911yescharacteristic
322C22×C131#44911yescharacteristic
323C22×C131#45211yescharacteristic
324C22×C131#45211yescharacteristic
325C22×C131#45311yescharacteristic
326C22×C131#45511yescharacteristic
327C22×C131B(4,𝔽2)11yescharacteristic
328C22×C131#45811yescharacteristic
329C4×C131—21no—
330C4×C131—21no—
331C4×C131—21no—
332C4×C131—21no—
333C4×C131—42no—
334C4×C131—42no—
335C4×C131—42no—
336C4×C131—42no—
337C4×C131—82no—
338C4×C131—82no—
339C2×C131—21no—
340C2×C131—21no—
341C2×C131—21no—
342C2×C131—21no—
343C2×C131—82no—
344C2×C131—82no—
345C2×C131#160011yescharacteristic
346C2×C131#160611yescharacteristic
347C2×C131#161211yescharacteristic
348C2×C131#161811yescharacteristic
349C2×C131#178811yescharacteristic
350C2×C131#179011yescharacteristic
351C2×C131#179211yescharacteristic
352#8408C13111yesmaximal, characteristic, direct product factor, Sylow
353C131#840811yescharacteristic, direct product factor, Sylow
354C2×#538C2×C13111yescharacteristic
355#1874C2×C13111yescharacteristic, complemented
356#1872C2×C13111yescharacteristic, complemented
357C2×#328C2×C13111yescharacteristic, complemented
358C2×#327C2×C13111yescharacteristic, complemented
359C2×#323C2×C13111yescharacteristic, complemented
360#1439C2×C13111yescharacteristic, complemented
361#538—22no—
362#538—22no—
363#538—22no—
364#538C4×C13114yescomplemented
365C2×#126—21no—
366C2×#124—21no—
367C2×#123—21no—
368C2×C22⋊Q8C22×C13111yescharacteristic
369C2×#121—21no—
370C2×#121C22×C13111yescharacteristic
371C2×#120—21no—
372C2×C4×D4—21no—
373C22×C4⋊C4C22×C13111yescharacteristic
374C22×C22⋊C4—21no—
375C22×C22⋊C4C22×C13111yescharacteristic
376C2×#103—21no—
377C2×#102—21no—
378C2×C22⋊C8C22×C13111yescharacteristic
379C2×C22⋊C8C22×C13111yescharacteristic
380C2×#95—21no—
381C2×#95C22×C13111yescharacteristic
382#340—21no—
383#340—21no—
384#328—22no—
385#327—22no—
386#323—22no—
387C25D4×C13111yescharacteristic
388C22×Q8D4×C13111yescharacteristic
389C22×D4—21no—
390C22×D4—21no—
391C22×D4—21no—
392C22×D4D4×C13111yescharacteristic
393C23×C4—21no—
394C23×C4—21no—
395C23×C4—21no—
396C23×C4D4×C13111yescharacteristic
397C23×C4C23×C13111yescharacteristic
398C22×C8—21no—
399C22×C8—21no—
400#126—24no—
401#126—24no—
402#124—24no—
403#124—24no—
404#123—24no—
405#123—24no—
406C22⋊Q8—21no—
407C22⋊Q8—21no—
408C22⋊Q8C2×C4×C13112yes—
409C22⋊Q8D4×C13112yes—
410#121—24no—
411#121—24no—
412#121—21no—
413#121—21no—
414#121C2×C4×C13112yes—
415#121D4×C13112yes—
416#120—24no—
417#120—24no—
418C4×D4—24no—
419C4×D4—24no—
420C2×C4⋊C4—21no—
421C2×C4⋊C4—21no—
422C2×C4⋊C4—21no—
423C2×C4⋊C4—21no—
424C2×C4⋊C4—42no—
425C2×C4⋊C4D4×C13111yescharacteristic
426C2×C4⋊C4D4×C13111yescharacteristic
427C2×C22⋊C4—21no—
428C2×C22⋊C4—21no—
429C2×C22⋊C4—21no—
430C2×C22⋊C4—21no—
431C2×C22⋊C4—21no—
432C2×C22⋊C4—21no—
433C2×C22⋊C4—21no—
434C2×C22⋊C4—21no—
435C2×C22⋊C4—21no—
436C2×C22⋊C4—42no—
437C2×C22⋊C4—42no—
438C2×C22⋊C4—42no—
439C2×C22⋊C4C2×C4×C13112yes—
440C2×C22⋊C4D4×C13112yes—
441C2×C42—21no—
442#103—42no—
443#102—42no—
444C22⋊C8—21no—
445C22⋊C8—21no—
446C22⋊C8—21no—
447C22⋊C8—21no—
448#95—21no—
449#95—21no—
450#95—42no—
451C24—21no—
452C24—21no—
453C24—21no—
454C24—21no—
455C24—21no—
456C24—21no—
457C24—21no—
458C24—41no—
459C24—41no—
460C24—41no—
461C24—41no—
462C24C22⋊C4×C13112yes—
463C24C2×D4×C13111yescharacteristic
464C2×Q8—21no—
465C2×Q8—41no—
466C2×Q8—41no—
467C2×Q8C22⋊C4×C13112yescomplemented
468C2×D4—22no—
469C2×D4—22no—
470C2×D4—24no—
471C2×D4—24no—
472C2×D4—21no—
473C2×D4—41no—
474C2×D4—41no—
475C2×D4—41no—
476C2×D4—41no—
477C2×D4—41no—
478C2×D4—41no—
479C2×D4—81no—
480C2×D4—81no—
481C2×D4—81no—
482C2×D4—81no—
483C2×D4C22⋊C4×C13112yescomplemented
484C22×C4—21no—
485C22×C4—21no—
486C22×C4—21no—
487C22×C4—21no—
488C22×C4—24no—
489C22×C4—21no—
490C22×C4—22no—
491C22×C4—22no—
492C22×C4—41no—
493C22×C4—41no—
494C22×C4—41no—
495C22×C4—41no—
496C22×C4—41no—
497C22×C4—41no—
498C22×C4—41no—
499C22×C4—41no—
500C22×C4—41no—
501C22×C4—41no—
502C22×C4—41no—
503C22×C4—41no—
504C22×C4—41no—
505C22×C4—41no—
506C22×C4—41no—
507C22×C4—41no—
508C22×C4—81no—
509C22×C4—81no—
510C22×C4C22⋊C4×C13112yes—
511C22×C4C22×C4×C13111yescharacteristic
512C22×C4C2×D4×C13111yescharacteristic
513C22×C4C2×D4×C13111yescharacteristic
514C22×C4C2×D4×C13111yescharacteristic
515C22×C4C2×D4×C13111yescharacteristic
516C22×C4C2×D4×C13111yescharacteristic
517C2×C8—41no—
518C2×C8—41no—
519C2×C8—41no—
520C2×C8—41no—
521C2×C8—41no—
522C2×C8—41no—
523C4⋊C4—24no—
524C4⋊C4—22no—
525C4⋊C4—22no—
526C4⋊C4—21no—
527C4⋊C4—21no—
528C4⋊C4—22no—
529C4⋊C4—22no—
530C4⋊C4—41no—
531C4⋊C4—41no—
532C4⋊C4C22⋊C4×C13112yescomplemented
533C4⋊C4C22⋊C4×C13112yescomplemented
534C22⋊C4—24no—
535C22⋊C4—24no—
536C22⋊C4—24no—
537C22⋊C4—22no—
538C22⋊C4—22no—
539C22⋊C4—22no—
540C22⋊C4—22no—
541C22⋊C4—22no—
542C22⋊C4—22no—
543C22⋊C4—22no—
544C22⋊C4—22no—
545C22⋊C4—48no—
546C42—24no—
547C23—21no—
548C23—21no—
549C23—21no—
550C23—21no—
551C23—22no—
552C23—22no—
553C23—22no—
554C23—22no—
555C23—42no—
556C23—42no—
557C23—42no—
558C23—42no—
559C23—42no—
560C23—42no—
561C23—41no—
562C23—41no—
563C23—41no—
564C23—41no—
565C23—41no—
566C23—41no—
567C23—41no—
568C23—41no—
569C23—41no—
570C23—41no—
571C23—41no—
572C23—41no—
573C23—41no—
574C23—41no—
575C23—81no—
576C23—81no—
577C23—81no—
578C23—81no—
579C23—81no—
580C23—81no—
581C23C2×C22⋊C4×C13111yescharacteristic
582C23#120×C13111yescharacteristic
583C23#120×C13111yescharacteristic
584C23#135×C13111yescharacteristic
585C23#135×C13111yescharacteristic
586C23AGL(1,ℤ/8)×C13111yescharacteristic
587C23#137×C13111yescharacteristic
588Q8—42no—
589Q8—81no—
590D4—42no—
591D4—42no—
592D4—42no—
593D4—42no—
594D4—42no—
595D4—81no—
596D4—84no—
597D4—84no—
598C2×C4—21no—
599C2×C4—21no—
600C2×C4—21no—
601C2×C4—21no—
602C2×C4—22no—
603C2×C4—22no—
604C2×C4—22no—
605C2×C4—22no—
606C2×C4—41no—
607C2×C4—41no—
608C2×C4—41no—
609C2×C4—41no—
610C2×C4—41no—
611C2×C4—41no—
612C2×C4—41no—
613C2×C4—41no—
614C2×C4—41no—
615C2×C4—41no—
616C2×C4—41no—
617C2×C4—41no—
618C2×C4—42no—
619C2×C4—42no—
620C2×C4—42no—
621C2×C4—42no—
622C2×C4—42no—
623C2×C4—42no—
624C2×C4—42no—
625C2×C4—81no—
626C2×C4—84no—
627C2×C4—81no—
628C2×C4—81no—
629C2×C4—81no—
630C2×C4—81no—
631C2×C4—81no—
632C2×C4—81no—
633C2×C4—81no—
634C2×C4—81no—
635C2×C4C2×C22⋊C4×C13111yescharacteristic
636C2×C4C2×C22⋊C4×C13111yescharacteristic
637C2×C4#120×C13111yescharacteristic
638C2×C4#120×C13111yescharacteristic
639C8—81no—
640C8—81no—
641C22—21no—
642C22—21no—
643C22—21no—
644C22—21no—
645C22—21no—
646C22—21no—
647C22—21no—
648C22—21no—
649C22—21no—
650C22—21no—
651C22—21no—
652C22—21no—
653C22—44no—
654C22—42no—
655C22—42no—
656C22—42no—
657C22—42no—
658C22—42no—
659C22—42no—
660C22—82no—
661C22—82no—
662C22—82no—
663C22—81no—
664C22—81no—
665C22—81no—
666C22—81no—
667C22—81no—
668C22—81no—
669C22—81no—
670C22—81no—
671C22#379×C13111yescharacteristic
672C22#416×C13111yescharacteristic
673C22#417×C13111yescharacteristic
674C22#449×C13111yescharacteristic
675C22#449×C13111yescharacteristic
676C22#452×C13111yescharacteristic
677C22#452×C13111yescharacteristic
678C22#453×C13111yescharacteristic
679C22#455×C13111yescharacteristic
680C22B(4,𝔽2)×C13111yescharacteristic
681C22#458×C13111yescharacteristic
682C4—21no—
683C4—21no—
684C4—21no—
685C4—21no—
686C4—42no—
687C4—42no—
688C4—42no—
689C4—42no—
690C4—82no—
691C4—82no—
692C2—21no—
693C2—21no—
694C2—21no—
695C2—21no—
696C2—82no—
697C2—82no—
698C2#1600×C13111yescharacteristic
699C2#1606×C13111yescharacteristic
700C2#1612×C13111yescharacteristic
701C2#1618×C13111yescharacteristic
702C2#1788×C13111yescharacteristic
703C2#1790×C13111yescharacteristic
704C2#1792×C13111yescharacteristic
subgroupG/H
center, socleC23×C131#120
commutatorC22×C4C22×C4×C131
Frattini, cosocleC23×C4C23×C131
prime radicalC2×#538×C131C2
LCSG ▷ C22×C4 ▷ C22 ▷ C1
UCSC1 ◁ C23×C131 ◁ C23×C4×C131 ◁ G

Complements

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

NH ≅ G/Ntype
2. #1874×C131C2semidirect
3. #1872×C131C2semidirect
4. C2×#328×C131C2semidirect
5. C2×#327×C131C2semidirect
6. C2×#323×C131C2semidirect
7. #1439×C131C2semidirect
11. #538×C131C4semidirect
114. C2×Q8×C131C22⋊C4semidirect
130. C2×D4×C131C22⋊C4semidirect
179. C4⋊C4×C131C22⋊C4semidirect
180. C4⋊C4×C131C22⋊C4semidirect
352. #8408C131direct (N × H)
353. C131#8408direct (N × H)
355. #1874C2×C131semidirect
356. #1872C2×C131semidirect
357. C2×#328C2×C131semidirect
358. C2×#327C2×C131semidirect
359. C2×#323C2×C131semidirect
360. #1439C2×C131semidirect
364. #538C4×C131semidirect
467. C2×Q8C22⋊C4×C131semidirect
483. C2×D4C22⋊C4×C131semidirect
532. C4⋊C4C22⋊C4×C131semidirect
533. C4⋊C4C22⋊C4×C131semidirect

Maximal subgroups

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

subgroupindex
C2×#538×C1312
#1874×C1312
#1872×C1312
C2×#328×C1312
C2×#327×C1312
C2×#323×C1312
#1439×C1312
#8408131