Finite Group Databasebeta

← #25114939

Subgroups — #25114939

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#19137504C211yesmaximal, characteristic, complemented
5#19137496C211yesmaximal, characteristic, complemented
6#19135324C211yesmaximal, characteristic, complemented
7#19134857C211yesmaximal, characteristic, complemented
8#19134855C211yesmaximal, characteristic, complemented
9#19134843C211yesmaximal, characteristic, complemented
10#19134841C211yesmaximal, characteristic, complemented
11#19134762C211yesmaximal, characteristic, complemented
12#19134604C211yesmaximal, characteristic, complemented
13#19134594C211yesmaximal, characteristic, complemented
14#19134471C211yesmaximal, characteristic, complemented
15C43×#1944C211yesmaximal, characteristic, complemented
16C22×D344C2211yescharacteristic
17C2×C4×D172C2211yescharacteristic
18C2×C4×D172C2211yescharacteristic
19C2×#13063287C2211yescharacteristic
20C2×#13063287C2211yescharacteristic
21C2×#13063287C2211yescharacteristic
22C2×#13063287C2211yescharacteristic
23C2×C4⋊C4×D43—21no—
24#14583012—24no—
25#14583010C418yescomplemented
26#14582981—24no—
27C2×#13063258C2211yescharacteristic
28C2×#13063257C2211yescharacteristic
29C2×#13063256C2211yescharacteristic
30C2×Dic43⋊C8C2211yescharacteristic
31C2×#13063247C2211yescharacteristic
32C2×#13063247C2211yescharacteristic
33C2×#13063245C2211yescharacteristic
34C2×#13063245C2211yescharacteristic
35C2×#13063245C2211yescharacteristic
36C2×#13063245C2211yescharacteristic
37C2×#13063235C2211yescharacteristic
38C2×C8×Dic43C2211yescharacteristic
39#14582798C2211yescharacteristic
40#14582798C2211yescharacteristic
41#14582773—21no—
42#14582773—21no—
43#14582770—21no—
44#14582770—21no—
45#14582768C2211yescharacteristic
46#14582764C2211yescharacteristic
47#14582758—21no—
48#14582756—21no—
49C4×Dic43⋊C4C2211yescharacteristic
50#95×D43—21no—
51#14582661C2211yescharacteristic
52#14582661C2211yescharacteristic
53#14582654C2211yescharacteristic
54#14582653C2211yescharacteristic
55C2×#107×C43C2211yescharacteristic
56C2×#106×C43C2211yescharacteristic
57C2×#97×C43C2211yescharacteristic
58C43×#389C2211yescharacteristic
59C43×#389C2211yescharacteristic
60C43×#340C2211yescharacteristic
61C43×#340C2211yescharacteristic
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×D172—41no—
78C4×D172—41no—
79#13063287—22no—
80#13063287—22no—
81#13063287—22no—
82#13063287—22no—
83#13063287—41no—
84#13063287—41no—
85#13063287C2×C414yescomplemented
86#13063287C2×C414yescomplemented
87C2×C4⋊Dic43—21no—
88C2×C4⋊Dic43—21no—
89C2×C4⋊Dic43C2311yescharacteristic
90C2×C4⋊Dic43C2311yescharacteristic
91C2×Dic43⋊C4—21no—
92C2×Dic43⋊C4—21no—
93C2×Dic43⋊C4D411yescharacteristic
94C2×Dic43⋊C4D411yescharacteristic
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#13063258—41no—
105#13063257—22no—
106#13063256—41no—
107Dic43⋊C8—22no—
108#13063247—22no—
109#13063247—22no—
110#13063245—22no—
111#13063245—22no—
112#13063245C2×C414yescomplemented
113#13063245C2×C414yescomplemented
114#13063235C2×C414yescomplemented
115C8×Dic43—22no—
116C43⋊#95—21no—
117C43⋊#95—21no—
118C43⋊#95—21no—
119C43⋊#95—21no—
120C43⋊#95D411yescharacteristic
121C43⋊#95D411yescharacteristic
122C22×C8×C43C2311yescharacteristic
123C22×C8×C43C2311yescharacteristic
124C2×C4⋊C4×C43—21no—
125C2×C4⋊C4×C43—21no—
126C2×C4⋊C4×C43C2311yescharacteristic
127C2×C4⋊C4×C43C2311yescharacteristic
128C2×C4⋊C4×C43C2311yescharacteristic
129C2×C4⋊C4×C43C2311yescharacteristic
130C2×C42×C43C2311yescharacteristic
131#107×C43—22no—
132#106×C43C2×C414yescomplemented
133#97×C43—22no—
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×C43—21no—
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—42no—
194C4⋊C4×C43—81no—
195C4⋊C4×C43C22×C412yes—
196C4⋊C4×C43C22×C412yes—
197C42×C43—21no—
198C42×C43—21no—
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—21no—
208C4⋊Dic43—21no—
209C4⋊Dic43—42no—
210C4⋊Dic43—81no—
211Dic43⋊C4—22no—
212Dic43⋊C4—41no—
213Dic43⋊C4—42no—
214Dic43⋊C4—81no—
215C4×Dic43—21no—
216C4×Dic43—21no—
217C4×Dic43C22×C412yes—
218C4×Dic43#4112yes—
219C2×C43⋊C8—21no—
220C2×C43⋊C8—21no—
221C2×C43⋊C8—21no—
222C2×C43⋊C8—21no—
223C2×C43⋊C8—21no—
224C2×C43⋊C8C22×C412yes—
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—22no—
242C2×C4×C43—22no—
243C2×C4×C43—21no—
244C2×C4×C43—21no—
245C2×C4×C43—21no—
246C2×C4×C43—21no—
247C2×C4×C43—21no—
248C2×C4×C43—21no—
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×C43—41no—
258C2×C4×C43—41no—
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—21no—
268C2×Dic43—21no—
269C2×Dic43—21no—
270C2×Dic43—21no—
271C2×Dic43—21no—
272C2×Dic43—21no—
273C2×Dic43—21no—
274C2×Dic43—41no—
275C2×Dic43—41no—
276C2×Dic43—41no—
277C2×Dic43—41no—
278C2×Dic43—41no—
279C2×Dic43—41no—
280C2×Dic43C4×D412yes—
281C2×Dic43C4×D412yes—
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—41no—
298C8×C43C2×C4⋊C414yescomplemented
299C43⋊C8—22no—
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—42no—
324C4×C43—42no—
325C4×C43—41no—
326C4×C43—41no—
327C4×C43—81no—
328C4×C43—81no—
329C4×C43C22×C4⋊C411yescharacteristic
330C4×C43#52011yescharacteristic
331C4×C43#54711yescharacteristic
332C4×C43#55411yescharacteristic
333Dic43—22no—
334Dic43—22no—
335Dic43—22no—
336Dic43—41no—
337Dic43—81no—
338Dic43—81no—
339C2×#442—431no—
340C2×#442—431no—
341C2×C4×D8—431no—
342#2349—431no—
343D4×C4⋊C4—431no—
344#1944D4311yescharacteristic, complemented
345#1941—431no—
346#1864—431no—
347#1864—431no—
348#1862—431no—
349#1862—431no—
350#1847—431no—
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×#107—431no—
375C2×#107C2×D4311yescharacteristic
376C2×#106—431no—
377C2×#106—431no—
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#389C2×D4311yescharacteristic
392#389C2×D4311yescharacteristic
393#385—861no—
394#385—861no—
395#385—861no—
396#385—861no—
397#384—431no—
398#382—431no—
399#380—861no—
400#380—861no—
401C4×C4⋊C4—431no—
402C2×#95—861no—
403#340—431no—
404#340—431no—
405#340C2×D4311yescharacteristic
406#340C2×D4311yescharacteristic
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—1721no—
463#106—862no—
464#106—1721no—
465#106C4×D4314yescomplemented
466C4⋊C8—862no—
467#102—434no—
468#102—434no—
469#102—862no—
470#102—862no—
471#102—862no—
472#102—862no—
473#97—22no—
474#97—434no—
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—864no—
507C22×C4—864no—
508C22×C4—861no—
509C22×C4—861no—
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—21no—
533C2×C8—432no—
534C2×C8—861no—
535C2×C8—861no—
536C2×C8—861no—
537C2×C8—861no—
538C2×C8—861no—
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—42no—
549C4⋊C4—81no—
550C4⋊C4—862no—
551C4⋊C4—861no—
552C4⋊C4—861no—
553C4⋊C4—861no—
554C4⋊C4—861no—
555C4⋊C4—3441no—
556C4⋊C4—3441no—
557C4⋊C4—1721no—
558C4⋊C4—1722no—
559C4⋊C4—1722no—
560C4⋊C4C2×C4×D4312yes—
561C4⋊C4C2×C4×D4312yes—
562C22⋊C4—864no—
563C22⋊C4—864no—
564C22⋊C4—1722no—
565C22⋊C4—1722no—
566C22⋊C4—1722no—
567C22⋊C4—1722no—
568C42—21no—
569C42—21no—
570C42—432no—
571C42—432no—
572C42—861no—
573C42—861no—
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—22no—
598C2×C4—22no—
599C2×C4—21no—
600C2×C4—21no—
601C2×C4—21no—
602C2×C4—21no—
603C2×C4—21no—
604C2×C4—21no—
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—41no—
614C2×C4—41no—
615C2×C4—432no—
616C2×C4—432no—
617C2×C4—432no—
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—1721no—
638C2×C4—1721no—
639C2×C4C22×C4×D4311yescharacteristic
640C2×C4C2×D4×D4311yescharacteristic
641C2×C4C2×Q8×D4311yescharacteristic
642C2×C4#41×D4311yescharacteristic
643C2×C4#1306337111yescharacteristic
644C2×C4#1306337311yescharacteristic
645C8—41no—
646C8—862no—
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—
663C22C4×D4×D4311yescharacteristic
664C22#1458353311yescharacteristic
665C22#1458356411yescharacteristic
666C22AGL(1,ℤ/8)×D4311yescharacteristic
667C22#1458369811yescharacteristic
668C22#1458370311yescharacteristic
669C22#1458370811yescharacteristic
670C4—42no—
671C4—41no—
672C4—41no—
673C4—42no—
674C4—81no—
675C4—81no—
676C4—862no—
677C4—862no—
678C4—862no—
679C4—3441no—
680C4—3441no—
681C4—1721no—
682C4C2×C4⋊C4×D4311yescharacteristic
683C4#1458338111yescharacteristic
684C4#1458355111yescharacteristic
685C4#1458360511yescharacteristic
686C2—1724no—
687C2—1724no—
688C2#1913749611yescharacteristic
689C2#1914340011yescharacteristic
690C2#1914342611yescharacteristic
691C2#1914608211yescharacteristic
692C2#1914612711yescharacteristic
693C2#1914749111yescharacteristic
694C2#1914755011yescharacteristic
subgroupG/H
centerC23C2×D4×D43
commutatorC2×C4×C43C23×C4
FrattiniC22×C4C23×D43
FittingC43×#1944C2
socleC23×C43C22×D4
prime radicalC22×D344C22
cosocleC22×C4×C43C24
hypercenter#1944D43
hypocenterC43#22676
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C23 ◁ C2×C42 ◁ #1944

Complements

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

NH ≅ G/Ntype
4. #19137504C2semidirect
5. #19137496C2semidirect
6. #19135324C2semidirect
7. #19134857C2semidirect
8. #19134855C2semidirect
9. #19134843C2semidirect
10. #19134841C2semidirect
11. #19134762C2semidirect
12. #19134604C2semidirect
13. #19134594C2semidirect
14. #19134471C2semidirect
15. C43×#1944C2semidirect
25. #14583010C4semidirect
85. #13063287C2×C4semidirect
86. #13063287C2×C4semidirect
112. #13063245C2×C4semidirect
113. #13063245C2×C4semidirect
114. #13063235C2×C4semidirect
132. #106×C43C2×C4semidirect
225. D344C4⋊C4semidirect
290. D172C2×C4⋊C4semidirect
298. C8×C43C2×C4⋊C4semidirect
344. #1944D43semidirect
409. C43#22676semidirect
465. #106C4×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
#191375042
#191374962
#191353242
#191348572
#191348552
#191348432
#191348412
#191347622
#191346042
#191345942
#191344712
C43×#19442
#2267643