Finite Group Databasebeta

← C4×#14583131 #25103084

Subgroups — C4×#14583131 #25103084

Order 11008.

1138 conjugacy classes of subgroups.

The subgroup lattice has 708 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#14583131C211yesmaximal, characteristic
2C2×C4×#10621884C211yesmaximal, characteristic, complemented
3C2×C4×C8×D43C211yesmaximal, characteristic, complemented
4C4×#13063301C211yesmaximal, characteristic, complemented
5C4×#13063300C211yesmaximal, characteristic
6#19135446C211yesmaximal, characteristic, complemented
7#19135322C211yesmaximal, characteristic, complemented
8#19135276C211yesmaximal, characteristic, complemented
9#19135273C211yesmaximal, characteristic, complemented
10#19135022C211yesmaximal, characteristic
11#19135015C211yesmaximal, characteristic, complemented
12#19134619C211yesmaximal, characteristic, complemented
13C4×#13063256C211yesmaximal, characteristic, complemented
14C4×#13063247C211yesmaximal, characteristic, complemented
15C4×#103×C43C211yesmaximal, characteristic, complemented
16C22×#10621884C2211yescharacteristic
17C22×C8×D43C2211yescharacteristic
18C22×C8×D43C2211yescharacteristic
19C2×#13063301C2211yescharacteristic
20C2×#13063300C2211yescharacteristic
21C2×C4×D172—21no—
22C2×C4×D172C2211yescharacteristic
23C2×C42×D43C2211yescharacteristic
24#14583131C418yesdirect product factor
25C4×#10621884—24no—
26C2×#13063256C2211yescharacteristic
27C2×#13063256C2211yescharacteristic
28C2×#13063256C2211yescharacteristic
29C2×#13063249C2211yescharacteristic
30C2×#13063247C2211yescharacteristic
31C2×#13063247C2211yescharacteristic
32C2×#13063245C2211yescharacteristic
33C2×C4×C43⋊C8C2211yescharacteristic
34C2×C8×Dic43C2211yescharacteristic
35C2×C8×Dic43C2211yescharacteristic
36C4×C8×D43—24no—
37#14582806C2211yescharacteristic
38#14582800C2211yescharacteristic
39#14582798C2211yescharacteristic
40#14582795C2211yescharacteristic
41#14582791—21no—
42#14582780—21no—
43#14582777—21no—
44#14582770—21no—
45#14582756C2211yescharacteristic
46#14582756C2211yescharacteristic
47C4×Dic43⋊C4—21no—
48C4×C4⋊Dic43C2211yescharacteristic
49C4×(C2×D43)⋊C4—21no—
50C4×(C2×D43)⋊C4—21no—
51#14582662C2211yescharacteristic
52#14582662C2211yescharacteristic
53#14582661C2211yescharacteristic
54#14582661C2211yescharacteristic
55C2×C4×Q8×C43C2211yescharacteristic
56C2×#103×C43C2211yescharacteristic
57C2×#103×C43C2211yescharacteristic
58C2×C4×C8×C43C2211yescharacteristic
59C4×C4⋊C4×C43C2211yescharacteristic
60C43×#340C2211yescharacteristic
61C43×#340C2211yescharacteristic
62C22×D172—21no—
63C22×D172C2311yescharacteristic
64C22×C4×D43—21no—
65C22×C4×D43D411yescharacteristic
66C22×C4×D43D411yescharacteristic
67C22×C4×D43C2311yescharacteristic
68C2×#10621884—22no—
69C2×#10621884—22no—
70C2×#10621884C2×C414yescomplemented
71C22×C43⋊C8C2311yescharacteristic
72C22×C43⋊C8C2311yescharacteristic
73C2×C8×D43—22no—
74C2×C8×D43—22no—
75C2×C8×D43—22no—
76C2×C8×D43—22no—
77C2×C8×D43—22no—
78C2×C8×D43C2×C414yescomplemented
79#13063301—22no—
80#13063301C2×C414yescomplemented
81#13063300—22no—
82#13063300C2×C414yes—
83C4×D172—22no—
84C4×D172—22no—
85C4×D172—44no—
86C2×C4⋊Dic43—21no—
87C2×C4⋊Dic43C2311yescharacteristic
88C2×C4⋊Dic43C2311yescharacteristic
89C2×C4⋊Dic43C2311yescharacteristic
90C2×Dic43⋊C4—21no—
91C2×Dic43⋊C4—21no—
92C2×(C2×D43)⋊C4—21no—
93C2×(C2×D43)⋊C4—21no—
94C2×(C2×D43)⋊C4—21no—
95C2×(C2×D43)⋊C4—21no—
96C2×(C2×D43)⋊C4—21no—
97C2×(C2×D43)⋊C4—21no—
98C2×(C2×D43)⋊C4—21no—
99C2×C4×Dic43—21no—
100C2×C4×Dic43D411yescharacteristic
101C2×C4×Dic43D411yescharacteristic
102C2×C4×Dic43C2311yescharacteristic
103C42×D43—22no—
104C42×D43—22no—
105#13063256—22no—
106#13063256—22no—
107#13063256C2×C414yescomplemented
108#13063249—22no—
109#13063247—22no—
110#13063247C2×C414yescomplemented
111#13063245—22no—
112C4×C43⋊C8D414yescomplemented
113C8×Dic43—22no—
114C8×Dic43—22no—
115C43⋊#95—21no—
116C43⋊#95—21no—
117C43⋊#95—21no—
118C43⋊#95—21no—
119C43⋊#95—21no—
120C43⋊#95—21no—
121C43⋊#95—21no—
122C22×Q8×C43C2311yescharacteristic
123C22×C8×C43C2311yescharacteristic
124C22×C8×C43C2311yescharacteristic
125C4×Q8×C43—22no—
126C4×Q8×C43—22no—
127C2×C4⋊C4×C43—21no—
128C2×C4⋊C4×C43C2311yescharacteristic
129C2×C4⋊C4×C43C2311yescharacteristic
130C2×C4⋊C4×C43C2311yescharacteristic
131C2×C42×C43—21no—
132C2×C42×C43—21no—
133C2×C42×C43C2311yescharacteristic
134#103×C43—22no—
135#103×C43C2×C414yescomplemented
136C4×C8×C43—22no—
137#95×C43—21no—
138C23×D43—21no—
139C23×D43C2×D411yescharacteristic
140C2×Q8×C43—21no—
141C2×Q8×C43—21no—
142C2×Q8×C43—21no—
143C2×Q8×C43—21no—
144C2×Q8×C43—21no—
145C2×Q8×C43C22×C412yes—
146C22×C4×C43—21no—
147C22×C4×C43—21no—
148C22×C4×C43—21no—
149C22×C4×C43—21no—
150C22×C4×C43C2×D411yescharacteristic
151C22×C4×C43C2×D411yescharacteristic
152C22×C4×C43C2411yescharacteristic
153C22×Dic43—21no—
154C22×Dic43—21no—
155C22×Dic43—21no—
156C22×Dic43C2×D411yescharacteristic
157C22×Dic43C2×D411yescharacteristic
158C22×Dic43C2×D411yescharacteristic
159C2×D172—21no—
160C2×D172—24no—
161C2×D172—21no—
162C2×D172—21no—
163C2×D172—21no—
164C2×D172—21no—
165C2×D172—42no—
166C2×D172—42no—
167C2×D172C22×C412yes—
168C2×C4×D43—22no—
169C2×C4×D43—22no—
170C2×C4×D43—22no—
171C2×C4×D43—21no—
172C2×C4×D43—21no—
173C2×C4×D43—21no—
174C2×C4×D43—21no—
175C2×C4×D43—22no—
176C2×C4×D43—22no—
177C2×C4×D43—42no—
178C2×C4×D43—42no—
179C2×C4×D43—42no—
180C2×C4×D43SD1614yescomplemented
181C2×C4×D43C22×C412yes—
182C2×C4×D43#4112yes—
183C2×C8×C43—21no—
184C2×C8×C43—21no—
185C2×C8×C43—21no—
186C2×C8×C43—21no—
187C2×C8×C43C22×C412yes—
188C2×C8×C43#4112yes—
189C4⋊C4×C43—21no—
190C4⋊C4×C43—21no—
191C4⋊C4×C43—21no—
192C4⋊C4×C43—21no—
193C4⋊C4×C43—21no—
194C4⋊C4×C43—42no—
195C4⋊C4×C43C22×C412yes—
196C42×C43—42no—
197C42×C43—42no—
198C42×C43C2×D412yes—
199C42×C43#4112yes—
200#10621884—28no—
201(C2×D43)⋊C4—24no—
202(C2×D43)⋊C4—24no—
203(C2×D43)⋊C4—42no—
204(C2×D43)⋊C4—42no—
205(C2×D43)⋊C4—42no—
206(C2×D43)⋊C4—42no—
207(C2×D43)⋊C4—42no—
208C4⋊Dic43—21no—
209C4⋊Dic43—21no—
210C4⋊Dic43—21no—
211C4⋊Dic43—21no—
212C4⋊Dic43—21no—
213C4⋊Dic43—42no—
214C4⋊Dic43C22×C412yes—
215Dic43⋊C4—24no—
216Dic43⋊C4—42no—
217C4×Dic43—22no—
218C4×Dic43—22no—
219C4×Dic43—21no—
220C4×Dic43—21no—
221C4×Dic43—42no—
222C2×C43⋊C8—21no—
223C2×C43⋊C8—21no—
224C2×C43⋊C8C22×C412yes—
225C2×C43⋊C8C2×D412yes—
226C2×C43⋊C8C2×D412yes—
227C2×C43⋊C8#4112yes—
228C8×D43—28no—
229C8×D43—28no—
230C23×C43C22×D411yescharacteristic
231C22×D43—21no—
232C22×D43—21no—
233C22×D43—21no—
234C22×D43—21no—
235C22×D43—22no—
236C22×D43—41no—
237C22×D43—41no—
238C22×D43—41no—
239C22×D43—41no—
240C22×D43—41no—
241C22×D43—41no—
242C22×D43C4×D412yes—
243C22×D43C2×SD1612yes—
244C22×D43#13512yes—
245Q8×C43—22no—
246Q8×C43—22no—
247Q8×C43—41no—
248Q8×C43—41no—
249C2×C4×C43—21no—
250C2×C4×C43—21no—
251C2×C4×C43—22no—
252C2×C4×C43—22no—
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×C43—41no—
260C2×C4×C43—41no—
261C2×C4×C43—41no—
262C2×C4×C43—41no—
263C2×C4×C43#12112yes—
264C2×C4×C43#12112yes—
265C2×C4×C43C2×SD1612yes—
266C2×C4×C43#13512yes—
267C2×C4×C43C23×C411yescharacteristic
268C2×C4×C43C22×D411yescharacteristic
269C2×C4×C43C2×#4111yescharacteristic
270C2×C4×C43C2×#4111yescharacteristic
271C2×C4×C43C2×#4111yescharacteristic
272C2×C4×C43C2×#4111yescharacteristic
273C2×Dic43—21no—
274C2×Dic43—21no—
275C2×Dic43—21no—
276C2×Dic43—21no—
277C2×Dic43—21no—
278C2×Dic43—21no—
279C2×Dic43—22no—
280C2×Dic43—41no—
281C2×Dic43—41no—
282C2×Dic43—41no—
283C2×Dic43—41no—
284C2×Dic43—41no—
285C2×Dic43—41no—
286C2×Dic43—41no—
287C2×Dic43—41no—
288C2×Dic43C4×D412yes—
289C2×Dic43C2×SD1612yes—
290C2×Dic43#13512yes—
291D172—22no—
292D172—22no—
293D172—48no—
294D172—41no—
295D172—41no—
296C4×D43—28no—
297C4×D43—22no—
298C4×D43—22no—
299C4×D43—22no—
300C4×D43—22no—
301C4×D43—28no—
302C4×D43—84no—
303C8×C43—22no—
304C8×C43—22no—
305C43⋊C8—22no—
306C43⋊C8C4×D414yescomplemented
307C4×#465—431nomaximal, Sylow
308C22×C43C2×C4×D411yescharacteristic
309C22×C43C2×#12111yescharacteristic
310C22×C43#53211yescharacteristic
311C22×C43C22×SD1611yescharacteristic
312C22×C43C2×#13511yescharacteristic
313C22×C43C2×#13511yescharacteristic
314C22×C43C2×#13511yescharacteristic
315C2×D43—22no—
316C2×D43—22no—
317C2×D43—22no—
318C2×D43—22no—
319C2×D43—22no—
320C2×D43—22no—
321C2×D43—42no—
322C2×D43—42no—
323C2×D43—42no—
324C2×D43—81no—
325C2×D43—81no—
326C2×D43—81no—
327C2×D43—81no—
328C2×D43C4×SD1614yescomplemented
329C4×C43—22no—
330C4×C43—42no—
331C4×C43—42no—
332C4×C43—81no—
333C4×C43—81no—
334C4×C43#46514yescomplemented
335C4×C43C2×C4×D411yescharacteristic
336C4×C43C4×#4111yescharacteristic
337C4×C43#52511yescharacteristic
338C4×C43#52911yescharacteristic
339Dic43—22no—
340Dic43—22no—
341Dic43—22no—
342Dic43—42no—
343Dic43—81no—
344Dic43—81no—
345C2×#465—431no—
346C2×C4×SD16—431no—
347C22×C4×C8—431no—
348C4×C22⋊Q8—431no—
349C4×#121—431no—
350#1968—431no—
351#1941—431no—
352#1934—431no—
353#1933—431no—
354#1893—431no—
355#1892—431no—
356#1807—431no—
357C4×#106—431no—
358C4×#103D4311yescharacteristic, complemented
359C4×#102—431no—
360C2×C43C4×#12111yescharacteristic
361C2×C43C2×C4×SD1611yescharacteristic
362C2×C43C4×#13511yescharacteristic
363C2×C43C2×#46511yescharacteristic
364C2×C43#305011yescharacteristic
365C2×C43#316711yescharacteristic
366C2×C43#316811yescharacteristic
367D43—24no—
368D43—82no—
369C22×SD16—431no—
370C23×C8—431no—
371C23×C8—431no—
372C2×C22⋊Q8—431no—
373C2×#121—431no—
374C2×C4×Q8C2×D4311yescharacteristic
375C2×C4×D4—431no—
376C2×C4×D4—861no—
377C22×C42—431no—
378#465—438no—
379C4×SD16—864no—
380C2×#106—431no—
381C2×#106—431no—
382C2×#106—431no—
383C2×#103—431no—
384C2×#103C2×D4311yescharacteristic
385C2×#103C2×D4311yescharacteristic
386C2×#102—431no—
387C2×#102—431no—
388C2×#102—431no—
389C2×C4×C8—431no—
390C2×C4×C8—431no—
391C2×C4×C8—431no—
392C2×C4×C8—864no—
393C2×C4×C8C2×D4311yescharacteristic
394#391—431no—
395#390—431no—
396#389—431no—
397#389—431no—
398#388—861no—
399#387—861no—
400#386—861no—
401#385—861no—
402#380—431no—
403#380—431no—
404C4×C4⋊C4—431no—
405C4×C4⋊C4—861no—
406C4×C4⋊C4C2×D4311yescharacteristic
407C4×C22⋊C4—861no—
408C4×C22⋊C4—861no—
409#340—431no—
410#340—431no—
411#340—431no—
412#340—431no—
413#340C2×D4311yescharacteristic
414#340C2×D4311yescharacteristic
415C43C4×#46511yescharacteristic, complemented, Sylow
416C22×Q8C22×D4311yescharacteristic
417C22×D4—431no—
418C22×D4—861no—
419C23×C4—431no—
420C23×C4—431no—
421C23×C4—431no—
422C23×C4—861no—
423C2×SD16—434no—
424C2×SD16—862no—
425C2×SD16—862no—
426C22×C8—431no—
427C22×C8—431no—
428C22×C8—434no—
429C22×C8—862no—
430C22×C8—862no—
431C22×C8—862no—
432C22×C8—862no—
433C22×C8—862no—
434C22×C8C22×D4311yescharacteristic
435C22×C8C22×D4311yescharacteristic
436C22⋊Q8—434no—
437C22⋊Q8—862no—
438#121—434no—
439#121—862no—
440C4×Q8—22no—
441C4×Q8—22no—
442C4×D4—862no—
443C4×D4—862no—
444C4×D4—1724no—
445C2×C4⋊C4—21no—
446C2×C4⋊C4—431no—
447C2×C4⋊C4—431no—
448C2×C4⋊C4—431no—
449C2×C4⋊C4—861no—
450C2×C4⋊C4—861no—
451C2×C4⋊C4—861no—
452C2×C4⋊C4C22×D4311yescharacteristic
453C2×C4⋊C4C22×D4311yescharacteristic
454C2×C4⋊C4C22×D4311yescharacteristic
455C2×C22⋊C4—861no—
456C2×C22⋊C4—861no—
457C2×C22⋊C4—861no—
458C2×C22⋊C4—861no—
459C2×C22⋊C4—861no—
460C2×C22⋊C4—861no—
461C2×C22⋊C4—861no—
462C2×C42—21no—
463C2×C42—21no—
464C2×C42—431no—
465C2×C42—431no—
466C2×C42—431no—
467C2×C42—862no—
468C2×C42—862no—
469C2×C42—861no—
470C2×C42C22×D4311yescharacteristic
471#106—434no—
472#106—862no—
473#106—862no—
474#103—22no—
475#103—862no—
476#103C4×D4314yescomplemented
477#102—434no—
478#102—862no—
479#102—862no—
480C4×C8—22no—
481C4×C8—434no—
482C4×C8—862no—
483C4×C8—862no—
484#95—21no—
485#95—861no—
486#95—861no—
487#95—861no—
488#95—861no—
489#95—861no—
490#95—861no—
491#95—861no—
492C24—431no—
493C24—861no—
494C2×Q8—21no—
495C2×Q8—21no—
496C2×Q8—21no—
497C2×Q8—21no—
498C2×Q8—21no—
499C2×Q8C2×C4×D4312yes—
500C2×D4—432no—
501C2×D4—864no—
502C2×D4—861no—
503C2×D4—861no—
504C2×D4—861no—
505C2×D4—861no—
506C2×D4—861no—
507C2×D4—1722no—
508C2×D4—1722no—
509C22×C4—21no—
510C22×C4—21no—
511C22×C4—21no—
512C22×C4—21no—
513C22×C4—431no—
514C22×C4—431no—
515C22×C4—431no—
516C22×C4—434no—
517C22×C4—432no—
518C22×C4—432no—
519C22×C4—862no—
520C22×C4—862no—
521C22×C4—862no—
522C22×C4—862no—
523C22×C4—862no—
524C22×C4—861no—
525C22×C4—861no—
526C22×C4—861no—
527C22×C4—861no—
528C22×C4—861no—
529C22×C4—861no—
530C22×C4—861no—
531C22×C4—1722no—
532C22×C4—1722no—
533C22×C4—1722no—
534C22×C4D4×D4311yescharacteristic
535C22×C4D4×D4311yescharacteristic
536C22×C4C23×D4311yescharacteristic
537SD16—868no—
538C2×C8—21no—
539C2×C8—21no—
540C2×C8—21no—
541C2×C8—21no—
542C2×C8—432no—
543C2×C8—432no—
544C2×C8—432no—
545C2×C8—432no—
546C2×C8—868no—
547C2×C8—868no—
548C2×C8—861no—
549C2×C8—861no—
550C2×C8C2×C4×D4312yes—
551C2×C8#1062189812yes—
552C4⋊C4—21no—
553C4⋊C4—21no—
554C4⋊C4—21no—
555C4⋊C4—21no—
556C4⋊C4—21no—
557C4⋊C4—42no—
558C4⋊C4—432no—
559C4⋊C4—864no—
560C4⋊C4—861no—
561C4⋊C4—861no—
562C4⋊C4—861no—
563C4⋊C4—861no—
564C4⋊C4—861no—
565C4⋊C4—1722no—
566C4⋊C4—1722no—
567C4⋊C4C2×C4×D4312yes—
568C22⋊C4—864no—
569C22⋊C4—864no—
570C22⋊C4—1722no—
571C22⋊C4—1722no—
572C22⋊C4—1722no—
573C22⋊C4—1722no—
574C22⋊C4—1722no—
575C42—42no—
576C42—42no—
577C42—862no—
578C42—862no—
579C42—861no—
580C42—861no—
581C42—1722no—
582C42#1062189812yes—
583C42D4×D4312yes—
584C23—432no—
585C23—432no—
586C23—432no—
587C23—861no—
588C23—861no—
589C23—861no—
590C23—861no—
591C23—862no—
592C23—1721no—
593C23—1721no—
594C23—1721no—
595C23—1721no—
596C23—1721no—
597C23—1721no—
598C23C2×D4×D4311yescharacteristic
599Q8—22no—
600Q8—22no—
601Q8—41no—
602Q8—41no—
603D4—862no—
604D4—862no—
605D4—1728no—
606D4—1721no—
607D4—1721no—
608C2×C4—21no—
609C2×C4—21no—
610C2×C4—22no—
611C2×C4—22no—
612C2×C4—41no—
613C2×C4—41no—
614C2×C4—41no—
615C2×C4—41no—
616C2×C4—41no—
617C2×C4—41no—
618C2×C4—41no—
619C2×C4—41no—
620C2×C4—41no—
621C2×C4—41no—
622C2×C4—432no—
623C2×C4—432no—
624C2×C4—432no—
625C2×C4—868no—
626C2×C4—861no—
627C2×C4—861no—
628C2×C4—861no—
629C2×C4—861no—
630C2×C4—861no—
631C2×C4—861no—
632C2×C4—862no—
633C2×C4—862no—
634C2×C4—868no—
635C2×C4—862no—
636C2×C4—862no—
637C2×C4—862no—
638C2×C4—3444no—
639C2×C4—1721no—
640C2×C4—1721no—
641C2×C4—1721no—
642C2×C4—1721no—
643C2×C4—1721no—
644C2×C4—1721no—
645C2×C4—1721no—
646C2×C4—1721no—
647C2×C4#1306329812yes—
648C2×C4#1306329812yes—
649C2×C4SD16×D4312yes—
650C2×C4#1306334812yes—
651C2×C4C22×C4×D4311yescharacteristic
652C2×C4C2×D4×D4311yescharacteristic
653C2×C4#41×D4311yescharacteristic
654C2×C4#41×D4311yescharacteristic
655C2×C4C2×#1062189811yescharacteristic
656C2×C4C2×#1062189811yescharacteristic
657C8—22no—
658C8—22no—
659C8—434no—
660C8—862no—
661C22—434no—
662C22—862no—
663C22—862no—
664C22—862no—
665C22—862no—
666C22—862no—
667C22—862no—
668C22—3441no—
669C22—3441no—
670C22—3441no—
671C22—3441no—
672C22—1722no—
673C22—1722no—
674C22—1722no—
675C22C4×D4×D4311yescharacteristic
676C22C2×#1306329811yescharacteristic
677C22#1458344611yescharacteristic
678C22C2×SD16×D4311yescharacteristic
679C22#135×D4311yescharacteristic
680C22#135×D4311yescharacteristic
681C22C2×#1306334811yescharacteristic
682C4—22no—
683C4—42no—
684C4—42no—
685C4—81no—
686C4—81no—
687C4—862no—
688C4—862no—
689C4—862no—
690C4—3441no—
691C4—3441no—
692C4—1722no—
693C4#1458313114yesdirect product factor
694C4C4×D4×D4311yescharacteristic
695C4C4×#1062189811yescharacteristic
696C4#1458340811yescharacteristic
697C4#1458342711yescharacteristic
698C2—864no—
699C2—3442no—
700C2C4×#1306329811yescharacteristic
701C2C4×SD16×D4311yescharacteristic
702C2C4×#1306334811yescharacteristic
703C2C2×#1458313111yescharacteristic
704C2#1914417511yescharacteristic
705C2#1914515111yescharacteristic
706C2#1914516811yescharacteristic
subgroupG/H
centerC22×C4D4×D43
commutatorC2×C4×C43C23×C4
FrattiniC22×C4C23×D43
FittingC4×#103×C43C2
socleC23×C43C22×D4
prime radicalC2×#13063300C22
cosocleC22×C4×C43C24
hypercenterC4×#103D43
hypocenterC43C4×#465
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22×C4 ◁ C2×C42 ◁ C4×#103

Complements

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

NH ≅ G/Ntype
2. C2×C4×#10621884C2semidirect
3. C2×C4×C8×D43C2semidirect
4. C4×#13063301C2semidirect
6. #19135446C2semidirect
7. #19135322C2semidirect
8. #19135276C2semidirect
9. #19135273C2semidirect
11. #19135015C2semidirect
12. #19134619C2semidirect
13. C4×#13063256C2semidirect
14. C4×#13063247C2semidirect
15. C4×#103×C43C2semidirect
24. #14583131C4direct (N × H)
70. C2×#10621884C2×C4semidirect
78. C2×C8×D43C2×C4semidirect
80. #13063301C2×C4semidirect
107. #13063256C2×C4semidirect
110. #13063247C2×C4semidirect
112. C4×C43⋊C8D4semidirect
135. #103×C43C2×C4semidirect
180. C2×C4×D43SD16semidirect
306. C43⋊C8C4×D4semidirect
328. C2×D43C4×SD16semidirect
334. C4×C43#465semidirect
358. C4×#103D43semidirect
415. C43C4×#465semidirect
476. #103C4×D43semidirect
693. C4#14583131direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#145831312
C2×C4×#106218842
C2×C4×C8×D432
C4×#130633012
C4×#130633002
#191354462
#191353222
#191352762
#191352732
#191350222
#191350152
#191346192
C4×#130632562
C4×#130632472
C4×#103×C432
C4×#46543