Finite Group Databasebeta

← #25114929

Subgroups — #25114929

Order 11008.

1086 conjugacy classes of subgroups.

The subgroup lattice has 696 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#14583012C211yesmaximal, characteristic
2C2×#14583010C211yesmaximal, characteristic
3C2×#14582981C211yesmaximal, characteristic
4#19137503C211yesmaximal, characteristic, complemented
5#19137495C211yesmaximal, characteristic, complemented
6#19135336C211yesmaximal, characteristic, complemented
7#19135321C211yesmaximal, characteristic, complemented
8#19134853C211yesmaximal, characteristic, complemented
9#19134853C211yesmaximal, characteristic, complemented
10#19134839C211yesmaximal, characteristic, complemented
11#19134839C211yesmaximal, characteristic, complemented
12#19134602C211yesmaximal, characteristic, complemented
13#19134592C211yesmaximal, characteristic, complemented
14#19134467C211yesmaximal, characteristic, complemented
15C43×#1847C211yesmaximal, characteristic, complemented
16C22×D344C2211yescharacteristic
17C2×C4×D172C2211yescharacteristic
18C2×C4×D172C2211yescharacteristic
19C2×#13063287C2211yescharacteristic
20C2×#13063287C2211yescharacteristic
21C2×#13063287C2211yescharacteristic
22C2×#13063287C2211yescharacteristic
23C2×C4⋊C4×D43—21no—
24#14583012C418yescomplemented
25#14583010—24no—
26#14582981—24no—
27C2×#13063257C2211yescharacteristic
28C2×C4⋊(C43⋊C8)C2211yescharacteristic
29C2×#13063247C2211yescharacteristic
30C2×#13063247C2211yescharacteristic
31C2×#13063245C2211yescharacteristic
32C2×#13063245C2211yescharacteristic
33C2×#13063245C2211yescharacteristic
34C2×#13063245C2211yescharacteristic
35C2×#13063235C2211yescharacteristic
36C2×C8×Dic43C2211yescharacteristic
37#14582795C2211yescharacteristic
38#14582795C2211yescharacteristic
39#14582795C2211yescharacteristic
40#14582795C2211yescharacteristic
41#14582773—21no—
42#14582773—21no—
43#14582770—21no—
44#14582770—21no—
45#14582758—21no—
46#14582756—21no—
47C4×C4⋊Dic43C2211yescharacteristic
48#95×D43—21no—
49#14582661C2211yescharacteristic
50#14582661C2211yescharacteristic
51#14582661C2211yescharacteristic
52#14582661C2211yescharacteristic
53#14582653C2211yescharacteristic
54#14582653C2211yescharacteristic
55C2×#107×C43C2211yescharacteristic
56C2×#107×C43C2211yescharacteristic
57C2×#106×C43C2211yescharacteristic
58C2×#106×C43C2211yescharacteristic
59C2×#97×C43C2211yescharacteristic
60C43×#384C2211yescharacteristic
61C43×#382C2211yescharacteristic
62C22×D172C2311yescharacteristic
63C22×D172C2311yescharacteristic
64C22×C4×D43—21no—
65C22×C4×D43—21no—
66C22×C4×D43—21no—
67C22×C4×D43—21no—
68C22×C4×D43—21no—
69C22×C4×D43—21no—
70C2×D344C2×C414yes—
71C2×D344D414yes—
72C2×D344Q814yes—
73C22×C43⋊C8C2311yescharacteristic
74C22×C43⋊C8C2311yescharacteristic
75C4×D172—22no—
76C4×D172—22no—
77C4×D172C2×C414yescomplemented
78C4×D172C2×C414yescomplemented
79#13063287—22no—
80#13063287—22no—
81#13063287—22no—
82#13063287—22no—
83#13063287—41no—
84#13063287—41no—
85#13063287—41no—
86#13063287—41no—
87C2×C4⋊Dic43D411yescharacteristic
88C2×C4⋊Dic43D411yescharacteristic
89C2×C4⋊Dic43C2311yescharacteristic
90C2×C4⋊Dic43C2311yescharacteristic
91C2×Dic43⋊C4—21no—
92C2×Dic43⋊C4—21no—
93C2×Dic43⋊C4—21no—
94C2×Dic43⋊C4—21no—
95C4⋊C4×D43—44no—
96C2×(C2×D43)⋊C4—21no—
97C2×(C2×D43)⋊C4—21no—
98C2×(C2×D43)⋊C4—21no—
99C2×(C2×D43)⋊C4—21no—
100C2×(C2×D43)⋊C4—21no—
101C2×(C2×D43)⋊C4—21no—
102C2×C4×Dic43C2311yescharacteristic
103C2×C4×Dic43C2311yescharacteristic
104#13063257C2×C414yescomplemented
105C4⋊(C43⋊C8)—22no—
106#13063247C2×C414yescomplemented
107#13063247C2×C414yescomplemented
108#13063245—22no—
109#13063245—22no—
110#13063245—22no—
111#13063245—22no—
112#13063235—22no—
113C8×Dic43—22no—
114C43⋊#95—21no—
115C43⋊#95—21no—
116C43⋊#95—21no—
117C43⋊#95—21no—
118C43⋊#95D411yescharacteristic
119C43⋊#95D411yescharacteristic
120C22×C8×C43C2311yescharacteristic
121C22×C8×C43C2311yescharacteristic
122C2×C4⋊C4×C43—21no—
123C2×C4⋊C4×C43—21no—
124C2×C4⋊C4×C43C2311yescharacteristic
125C2×C4⋊C4×C43C2311yescharacteristic
126C2×C4⋊C4×C43C2311yescharacteristic
127C2×C4⋊C4×C43C2311yescharacteristic
128C2×C42×C43C2311yescharacteristic
129#107×C43—22no—
130#107×C43—41no—
131#106×C43—22no—
132#106×C43—41no—
133#97×C43C2×C414yescomplemented
134#95×C43—21no—
135#95×C43—21no—
136C23×D43—21no—
137C23×D43—21no—
138C22×C4×C43—21no—
139C22×C4×C43—21no—
140C22×C4×C43—21no—
141C22×C4×C43—21no—
142C22×C4×C43C2×D411yescharacteristic
143C22×C4×C43C2×D411yescharacteristic
144C22×C4×C43C2411yescharacteristic
145C22×Dic43—21no—
146C22×Dic43—21no—
147C22×Dic43C2×D411yescharacteristic
148C22×Dic43C2×D411yescharacteristic
149C22×Dic43C2×D411yescharacteristic
150C22×Dic43C2×D411yescharacteristic
151C2×D172—21no—
152C2×D172—21no—
153C2×D172—21no—
154C2×D172—21no—
155C2×D172—21no—
156C2×D172—21no—
157C2×D172C22×C412yes—
158C2×D172C22×C412yes—
159C2×D172C2×D412yes—
160C2×D172C2×D412yes—
161C2×D172C2×Q812yes—
162C2×D172C2×Q812yes—
163C2×C4×D43—24no—
164C2×C4×D43—24no—
165C2×C4×D43—42no—
166C2×C4×D43—42no—
167C2×C4×D43—42no—
168C2×C4×D43—42no—
169C2×C4×D43—42no—
170C2×C4×D43—42no—
171C2×C4×D43—42no—
172C2×C4×D43—42no—
173C2×C4×D43—42no—
174C2×C4×D43—42no—
175C2×C4×D43—81no—
176C2×C4×D43—81no—
177C2×C4×D43—81no—
178C2×C4×D43—81no—
179C2×C4×D43—81no—
180C2×C4×D43—81no—
181C2×C8×C43—21no—
182C2×C8×C43—21no—
183C2×C8×C43C22×C412yes—
184C2×C8×C43C22×C412yes—
185C2×C8×C43C2×D412yes—
186C2×C8×C43C2×Q812yes—
187C4⋊C4×C43—21no—
188C4⋊C4×C43—21no—
189C4⋊C4×C43—21no—
190C4⋊C4×C43—21no—
191C4⋊C4×C43—21no—
192C4⋊C4×C43—21no—
193C4⋊C4×C43—21no—
194C4⋊C4×C43—21no—
195C4⋊C4×C43—42no—
196C4⋊C4×C43—81no—
197C42×C43C22×C412yes—
198C42×C43#4112yes—
199(C2×D43)⋊C4—24no—
200(C2×D43)⋊C4—24no—
201(C2×D43)⋊C4—42no—
202(C2×D43)⋊C4—42no—
203(C2×D43)⋊C4—42no—
204(C2×D43)⋊C4—42no—
205C4⋊Dic43—21no—
206C4⋊Dic43—21no—
207C4⋊Dic43—22no—
208C4⋊Dic43—41no—
209C4⋊Dic43C22×C412yes—
210C4⋊Dic43C22×C412yes—
211Dic43⋊C4—42no—
212Dic43⋊C4—42no—
213Dic43⋊C4—81no—
214Dic43⋊C4—81no—
215C4×Dic43—21no—
216C4×Dic43—21no—
217C4×Dic43—21no—
218C4×Dic43—21no—
219C2×C43⋊C8—21no—
220C2×C43⋊C8—21no—
221C2×C43⋊C8—21no—
222C2×C43⋊C8—21no—
223C2×C43⋊C8—21no—
224C2×C43⋊C8—21no—
225D344C4⋊C4116yescomplemented
226C23×C43C22×D411yescharacteristic
227C22×D43—22no—
228C22×D43—22no—
229C22×D43—22no—
230C22×D43—22no—
231C22×D43—22no—
232C22×D43—22no—
233C22×D43—41no—
234C22×D43—41no—
235C22×D43—41no—
236C22×D43—41no—
237C22×D43—41no—
238C22×D43—41no—
239C22×D43—41no—
240C22×D43—41no—
241C2×C4×C43—21no—
242C2×C4×C43—21no—
243C2×C4×C43—21no—
244C2×C4×C43—21no—
245C2×C4×C43—41no—
246C2×C4×C43—41no—
247C2×C4×C43—41no—
248C2×C4×C43—41no—
249C2×C4×C43—41no—
250C2×C4×C43—41no—
251C2×C4×C43—41no—
252C2×C4×C43—41no—
253C2×C4×C43—41no—
254C2×C4×C43—41no—
255C2×C4×C43—41no—
256C2×C4×C43—41no—
257C2×C4×C43C4×D412yes—
258C2×C4×C43C4×D412yes—
259C2×C4×C43C23×C411yescharacteristic
260C2×C4×C43C22×D411yescharacteristic
261C2×C4×C43C22×Q811yescharacteristic
262C2×C4×C43C2×#4111yescharacteristic
263C2×C4×C43H(5,𝔽2)11yescharacteristic
264C2×C4×C432−1+411yescharacteristic
265C2×Dic43—21no—
266C2×Dic43—21no—
267C2×Dic43—22no—
268C2×Dic43—22no—
269C2×Dic43—21no—
270C2×Dic43—21no—
271C2×Dic43—21no—
272C2×Dic43—21no—
273C2×Dic43—21no—
274C2×Dic43—21no—
275C2×Dic43—21no—
276C2×Dic43—21no—
277C2×Dic43—21no—
278C2×Dic43—41no—
279C2×Dic43—41no—
280C2×Dic43—41no—
281C2×Dic43—41no—
282C2×Dic43AGL(1,ℤ/8)12yes—
283D172—22no—
284D172—22no—
285D172—22no—
286D172—22no—
287D172—22no—
288D172—22no—
289D172C2×C4⋊C414yes—
290D172C2×C4⋊C414yescomplemented
291C4×D43—48no—
292C4×D43—84no—
293C4×D43—84no—
294C4×D43—84no—
295C4×D43—84no—
296C4×D43—84no—
297C8×C43—22no—
298C8×C43C2×C4⋊C414yescomplemented
299C43⋊C8—41no—
300C43⋊C8—41no—
301#22676—431nomaximal, Sylow
302C22×C43C2×C4×D411yescharacteristic
303C22×C43D4211yescharacteristic
304C22×C43D4×Q811yescharacteristic
305C22×C43C2×AGL(1,ℤ/8)11yescharacteristic
306C22×C43#57511yescharacteristic
307C22×C43#57611yescharacteristic
308C22×C43#57711yescharacteristic
309C2×D43—24no—
310C2×D43—24no—
311C2×D43—42no—
312C2×D43—42no—
313C2×D43—42no—
314C2×D43—42no—
315C2×D43—42no—
316C2×D43—42no—
317C2×D43—42no—
318C2×D43—42no—
319C2×D43—42no—
320C2×D43—42no—
321C2×D43—42no—
322C2×D43—42no—
323C4×C43—22no—
324C4×C43—22no—
325C4×C43—81no—
326C4×C43—81no—
327C4×C43—81no—
328C4×C43—81no—
329C4×C43C22×C4⋊C411yescharacteristic
330C4×C43#52011yescharacteristic
331C4×C43#54711yescharacteristic
332C4×C43#55411yescharacteristic
333Dic43—22no—
334Dic43—42no—
335Dic43—42no—
336Dic43—41no—
337Dic43—41no—
338Dic43—41no—
339C2×#442—431no—
340C2×#442—431no—
341C2×C4×D8—431no—
342#2349—431no—
343D4×C4⋊C4—431no—
344#1944—431no—
345#1941—431no—
346#1864—431no—
347#1864—431no—
348#1862—431no—
349#1862—431no—
350#1847D4311yescharacteristic, complemented
351#1804—431no—
352#1802—431no—
353#1771—431no—
354C2×C43D4×C4⋊C411yescharacteristic
355C2×C43C4×AGL(1,ℤ/8)11yescharacteristic
356C2×C43#294611yescharacteristic
357C2×C43#326411yescharacteristic
358C2×C43#326711yescharacteristic
359C2×C43#338411yescharacteristic
360C2×C43#338911yescharacteristic
361D43—44no—
362D43—44no—
363C22×D8—431no—
364C2×C4×D4—431no—
365C2×C4×D4—431no—
366C2×C4×D4—431no—
367C2×C4×D4—431no—
368C2×C4×D4—431no—
369C2×C4×D4—431no—
370C22×C4⋊C4—861no—
371#442—438no—
372#442—864no—
373C4×D8—864no—
374C2×#107C2×D4311yescharacteristic
375C2×#107C2×D4311yescharacteristic
376C2×#106—431no—
377C2×#106C2×D4311yescharacteristic
378C2×#106C2×D4311yescharacteristic
379C2×C4⋊C8—431no—
380C2×#102—431no—
381C2×#102—431no—
382C2×#102—431no—
383C2×#102—431no—
384C2×#102—431no—
385C2×#102—431no—
386C2×#97—431no—
387C2×#97C2×D4311yescharacteristic
388C2×C4×C8—431no—
389#389—431no—
390#389—431no—
391#389—431no—
392#389—431no—
393#385—861no—
394#385—861no—
395#385—861no—
396#385—861no—
397#384C2×D4311yescharacteristic
398#382C2×D4311yescharacteristic
399#380—861no—
400#380—861no—
401C4×C4⋊C4—431no—
402C2×#95—861no—
403#340—431no—
404#340—431no—
405#340—431no—
406#340—431no—
407#336—431no—
408#336—431no—
409C43#2267611yescharacteristic, complemented, Sylow
410C22×D4—431no—
411C22×D4—431no—
412C23×C4—861no—
413C23×C4—861no—
414C23×C4—861no—
415C23×C4—861no—
416C23×C4—861no—
417C23×C4—861no—
418C2×D8—434no—
419C2×D8—434no—
420C2×D8—434no—
421C22×C8—431no—
422C22×C8—431no—
423C22×C8C22×D4311yescharacteristic
424C22×C8C22×D4311yescharacteristic
425C4×D4—434no—
426C4×D4—434no—
427C4×D4—862no—
428C4×D4—862no—
429C4×D4—862no—
430C4×D4—862no—
431C4×D4—862no—
432C4×D4—862no—
433C4×D4—1721no—
434C4×D4—1721no—
435C4×D4—1721no—
436C4×D4—1721no—
437C2×C4⋊C4—21no—
438C2×C4⋊C4—21no—
439C2×C4⋊C4—431no—
440C2×C4⋊C4—431no—
441C2×C4⋊C4—431no—
442C2×C4⋊C4—431no—
443C2×C4⋊C4—861no—
444C2×C4⋊C4—861no—
445C2×C4⋊C4—861no—
446C2×C4⋊C4—861no—
447C2×C4⋊C4—1724no—
448C2×C4⋊C4C22×D4311yescharacteristic
449C2×C4⋊C4C22×D4311yescharacteristic
450C2×C4⋊C4C22×D4311yescharacteristic
451C2×C4⋊C4C22×D4311yescharacteristic
452C2×C22⋊C4—861no—
453C2×C22⋊C4—861no—
454C2×C22⋊C4—861no—
455C2×C22⋊C4—861no—
456C2×C22⋊C4—861no—
457C2×C22⋊C4—861no—
458C2×C42—431no—
459C2×C42—431no—
460C2×C42C22×D4311yescharacteristic
461#107—22no—
462#107—41no—
463#106—22no—
464#106—41no—
465#106—434no—
466C4⋊C8—862no—
467#102—434no—
468#102—434no—
469#102—862no—
470#102—862no—
471#102—862no—
472#102—862no—
473#97—862no—
474#97C4×D4314yescomplemented
475C4×C8—862no—
476#95—21no—
477#95—21no—
478#95—431no—
479#95—431no—
480#95—861no—
481#95—861no—
482#95—861no—
483#95—861no—
484C24—861no—
485C24—861no—
486C2×D4—432no—
487C2×D4—432no—
488C2×D4—432no—
489C2×D4—432no—
490C2×D4—432no—
491C2×D4—432no—
492C2×D4—861no—
493C2×D4—861no—
494C2×D4—861no—
495C2×D4—861no—
496C2×D4—861no—
497C2×D4—861no—
498C22×C4—21no—
499C22×C4—21no—
500C22×C4—21no—
501C22×C4—21no—
502C22×C4—431no—
503C22×C4—431no—
504C22×C4—431no—
505C22×C4—431no—
506C22×C4—861no—
507C22×C4—861no—
508C22×C4—864no—
509C22×C4—864no—
510C22×C4—3441no—
511C22×C4—3441no—
512C22×C4—3441no—
513C22×C4—3441no—
514C22×C4—3441no—
515C22×C4—3441no—
516C22×C4—1722no—
517C22×C4—1722no—
518C22×C4—1722no—
519C22×C4—1722no—
520C22×C4—1722no—
521C22×C4—1722no—
522C22×C4—1722no—
523C22×C4—1722no—
524C22×C4—1722no—
525C22×C4—1722no—
526C22×C4D4×D4311yescharacteristic
527C22×C4D4×D4311yescharacteristic
528C22×C4C23×D4311yescharacteristic
529D8—4316no—
530C2×C8—21no—
531C2×C8—21no—
532C2×C8—861no—
533C2×C8—861no—
534C2×C8—861no—
535C2×C8—861no—
536C2×C8—861no—
537C2×C8—861no—
538C2×C8C2×C4×D4312yes—
539C2×C8C2×C4×D4312yes—
540C2×C8D4×D4312yes—
541C2×C8Q8×D4312yes—
542C4⋊C4—21no—
543C4⋊C4—21no—
544C4⋊C4—21no—
545C4⋊C4—21no—
546C4⋊C4—21no—
547C4⋊C4—21no—
548C4⋊C4—21no—
549C4⋊C4—21no—
550C4⋊C4—42no—
551C4⋊C4—81no—
552C4⋊C4—432no—
553C4⋊C4—432no—
554C4⋊C4—862no—
555C4⋊C4—861no—
556C4⋊C4—861no—
557C4⋊C4—3441no—
558C4⋊C4—3441no—
559C4⋊C4—1721no—
560C4⋊C4—1722no—
561C4⋊C4—1722no—
562C22⋊C4—864no—
563C22⋊C4—864no—
564C22⋊C4—1722no—
565C22⋊C4—1722no—
566C22⋊C4—1722no—
567C22⋊C4—1722no—
568C42—861no—
569C42—861no—
570C42—861no—
571C42—861no—
572C42C2×C4×D4312yes—
573C42#1062190212yes—
574C23—862no—
575C23—862no—
576C23—862no—
577C23—862no—
578C23—862no—
579C23—862no—
580C23—1721no—
581C23—1721no—
582C23—1721no—
583C23—1721no—
584C23—1721no—
585C23—1721no—
586C23—1721no—
587C23—1721no—
588C23C2×D4×D4311yescharacteristic
589D4—434no—
590D4—434no—
591D4—862no—
592D4—862no—
593D4—862no—
594D4—862no—
595D4—862no—
596D4—862no—
597C2×C4—21no—
598C2×C4—21no—
599C2×C4—21no—
600C2×C4—21no—
601C2×C4—41no—
602C2×C4—41no—
603C2×C4—41no—
604C2×C4—41no—
605C2×C4—41no—
606C2×C4—41no—
607C2×C4—41no—
608C2×C4—41no—
609C2×C4—41no—
610C2×C4—41no—
611C2×C4—41no—
612C2×C4—41no—
613C2×C4—432no—
614C2×C4—861no—
615C2×C4—861no—
616C2×C4—862no—
617C2×C4—862no—
618C2×C4—861no—
619C2×C4—861no—
620C2×C4—861no—
621C2×C4—861no—
622C2×C4—861no—
623C2×C4—861no—
624C2×C4—861no—
625C2×C4—861no—
626C2×C4—861no—
627C2×C4—3444no—
628C2×C4—3444no—
629C2×C4—3444no—
630C2×C4—3444no—
631C2×C4—3444no—
632C2×C4—1728no—
633C2×C4—1721no—
634C2×C4—1721no—
635C2×C4—1721no—
636C2×C4—1721no—
637C2×C4#1306328712yes—
638C2×C4#1306328712yes—
639C2×C4C22×C4×D4311yescharacteristic
640C2×C4C2×D4×D4311yescharacteristic
641C2×C4C2×Q8×D4311yescharacteristic
642C2×C4C2×#1062190211yescharacteristic
643C2×C4#1306337011yescharacteristic
644C2×C4#1306337311yescharacteristic
645C8—22no—
646C8—1721no—
647C8—1721no—
648C8C4⋊C4×D4314yescomplemented
649C22—864no—
650C22—864no—
651C22—1722no—
652C22—1722no—
653C22—1722no—
654C22—1722no—
655C22—1722no—
656C22—1722no—
657C22—1722no—
658C22—1722no—
659C22—1722no—
660C22—1722no—
661C22—1722no—
662C22—1722no—
663C22C2×#1306328711yescharacteristic
664C22#1458353411yescharacteristic
665C22#1458356411yescharacteristic
666C22AGL(1,ℤ/8)×D4311yescharacteristic
667C22#1458369811yescharacteristic
668C22#1458370311yescharacteristic
669C22#1458370811yescharacteristic
670C4—22no—
671C4—22no—
672C4—81no—
673C4—81no—
674C4—81no—
675C4—81no—
676C4—862no—
677C4—1722no—
678C4—1721no—
679C4—1721no—
680C4—1721no—
681C4—1722no—
682C4C2×C4⋊C4×D4311yescharacteristic
683C4#1458338011yescharacteristic
684C4#1458355211yescharacteristic
685C4#1458361011yescharacteristic
686C2—1724no—
687C2—1724no—
688C2#1913749511yescharacteristic
689C2#1914340211yescharacteristic
690C2#1914342511yescharacteristic
691C2#1914607411yescharacteristic
692C2#1914611911yescharacteristic
693C2#1914749111yescharacteristic
694C2#1914755011yescharacteristic
subgroupG/H
centerC23C2×D4×D43
commutatorC2×C4×C43C23×C4
FrattiniC22×C4C23×D43
FittingC43×#1847C2
socleC23×C43C22×D4
prime radicalC22×D344C22
cosocleC22×C4×C43C24
hypercenter#1847D43
hypocenterC43#22676
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C23 ◁ C2×C42 ◁ #1847

Complements

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

NH ≅ G/Ntype
4. #19137503C2semidirect
5. #19137495C2semidirect
6. #19135336C2semidirect
7. #19135321C2semidirect
8. #19134853C2semidirect
9. #19134853C2semidirect
10. #19134839C2semidirect
11. #19134839C2semidirect
12. #19134602C2semidirect
13. #19134592C2semidirect
14. #19134467C2semidirect
15. C43×#1847C2semidirect
24. #14583012C4semidirect
77. C4×D172C2×C4semidirect
78. C4×D172C2×C4semidirect
104. #13063257C2×C4semidirect
106. #13063247C2×C4semidirect
107. #13063247C2×C4semidirect
133. #97×C43C2×C4semidirect
225. D344C4⋊C4semidirect
290. D172C2×C4⋊C4semidirect
298. C8×C43C2×C4⋊C4semidirect
350. #1847D43semidirect
409. C43#22676semidirect
474. #97C4×D43semidirect
648. C8C4⋊C4×D43semidirect

Maximal subgroups

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

subgroupindex
C2×#145830122
C2×#145830102
C2×#145829812
#191375032
#191374952
#191353362
#191353212
#191348532
#191348392
#191346022
#191345922
#191344672
C43×#18472
#2267643