Finite Group Databasebeta

← C4×#14583115 #25102819

Subgroups — C4×#14583115 #25102819

Order 11008.

1136 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×#14583115C211yesmaximal, characteristic
2C2×C4×#10621873C211yesmaximal, characteristic, complemented
3C2×C4×D344C211yesmaximal, characteristic
4C4×#13063313C211yesmaximal, characteristic, complemented
5C42×D172C211yesmaximal, characteristic, complemented
6#19135525C211yesmaximal, characteristic, complemented
7#19135365C211yesmaximal, characteristic, complemented
8#19135237C211yesmaximal, characteristic, complemented
9#19135223C211yesmaximal, characteristic, complemented
10#19134942C211yesmaximal, characteristic
11#19134928C211yesmaximal, characteristic, complemented
12#19134606C211yesmaximal, characteristic, complemented
13C4×#13063250C211yesmaximal, characteristic, complemented
14C4×#13063247C211yesmaximal, characteristic, complemented
15C4×C4⋊C8×C43C211yesmaximal, characteristic, complemented
16C22×#10621873C2211yescharacteristic
17C22×D344C2211yescharacteristic
18C2×#13063313C2211yescharacteristic
19C2×C4×Dic86C2211yescharacteristic
20C2×C4×D172C2211yescharacteristic
21C2×C4×D172C2211yescharacteristic
22C2×C4×D172C2211yescharacteristic
23C2×C4×D172C2211yescharacteristic
24C2×C42×D43—21no—
25#14583115C418yesdirect product factor
26C4×#10621873—24no—
27C4×D344—24no—
28C2×#13063259C2211yescharacteristic
29C2×#13063257C2211yescharacteristic
30C2×#13063250C2211yescharacteristic
31C2×#13063250C2211yescharacteristic
32C2×#13063250C2211yescharacteristic
33C2×#13063247C2211yescharacteristic
34C2×#13063247C2211yescharacteristic
35C2×#13063247C2211yescharacteristic
36C2×#13063247C2211yescharacteristic
37C2×#13063247C2211yescharacteristic
38#14582805C2211yescharacteristic
39#14582801C2211yescharacteristic
40#14582790—21no—
41#14582790—21no—
42#14582765C2211yescharacteristic
43C4×C4⋊Dic43C2211yescharacteristic
44C4×C4⋊Dic43C2211yescharacteristic
45C4×C4⋊Dic43C2211yescharacteristic
46C4×(C2×D43)⋊C4—21no—
47C4×(C2×D43)⋊C4—21no—
48C4×(C2×D43)⋊C4—21no—
49C4×(C2×D43)⋊C4—21no—
50C4×(C2×D43)⋊C4—21no—
51#14582662C2211yescharacteristic
52#14582662C2211yescharacteristic
53#14582662C2211yescharacteristic
54#14582662C2211yescharacteristic
55C2×C4⋊C8×C43C2211yescharacteristic
56C2×C4⋊C8×C43C2211yescharacteristic
57C2×C4×C8×C43C2211yescharacteristic
58C2×C4×C8×C43C2211yescharacteristic
59C43×C43C2211yescharacteristic
60C43×#336C2211yescharacteristic
61C43×#336C2211yescharacteristic
62C22×Dic86C2311yescharacteristic
63C22×D172C2311yescharacteristic
64C22×D172C2311yescharacteristic
65C22×C4×D43—21no—
66C22×C4×D43—21no—
67C22×C4×D43—21no—
68C22×C4×D43—21no—
69C2×#10621873—22no—
70C2×#10621873—22no—
71C2×#10621873C2×C414yescomplemented
72C2×D344—22no—
73C2×D344—22no—
74C2×D344C2×C414yes—
75#13063313—22no—
76#13063313C2×C414yescomplemented
77C4×Dic86—22no—
78C4×Dic86—22no—
79C4×D172—22no—
80C4×D172—22no—
81C4×D172—22no—
82C4×D172—22no—
83C4×D172—22no—
84C4×D172—22no—
85C4×D172C2×C414yescomplemented
86C4×D172D414yes—
87C2×C4⋊Dic43C2311yescharacteristic
88C2×C4⋊Dic43C2311yescharacteristic
89C2×C4⋊Dic43C2311yescharacteristic
90C2×C4⋊Dic43C2311yescharacteristic
91C2×C4⋊Dic43C2311yescharacteristic
92C2×Dic43⋊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×(C2×D43)⋊C4—21no—
100C2×(C2×D43)⋊C4—21no—
101C2×C4×Dic43—21no—
102C2×C4×Dic43—21no—
103C2×C4×Dic43—21no—
104C2×C4×Dic43—21no—
105C42×D43—44no—
106#13063259—22no—
107#13063257—22no—
108#13063250—22no—
109#13063250—22no—
110#13063250C2×C414yescomplemented
111#13063247—22no—
112#13063247—22no—
113#13063247—22no—
114#13063247—22no—
115#13063247C2×C414yescomplemented
116C43⋊#95—21no—
117C43⋊#95—21no—
118C43⋊#95—21no—
119C43⋊#95—21no—
120C43⋊#95—21no—
121C43⋊#95—21no—
122C43⋊#95—21no—
123C22×C8×C43C2311yescharacteristic
124C22×C8×C43C2311yescharacteristic
125C22×C8×C43C2311yescharacteristic
126C22×C8×C43C2311yescharacteristic
127C2×C42×C43D411yescharacteristic
128C2×C42×C43D411yescharacteristic
129C2×C42×C43D411yescharacteristic
130C2×C42×C43D411yescharacteristic
131C2×C42×C43C2311yescharacteristic
132C2×C42×C43C2311yescharacteristic
133C2×C42×C43C2311yescharacteristic
134C4⋊C8×C43—22no—
135C4⋊C8×C43C2×C414yescomplemented
136C4×C8×C43—22no—
137C4×C8×C43—22no—
138C23×D43—21no—
139C23×D43—21no—
140C22×C4×C43C2×D411yescharacteristic
141C22×C4×C43C2×D411yescharacteristic
142C22×C4×C43C2×D411yescharacteristic
143C22×C4×C43C2×D411yescharacteristic
144C22×C4×C43C2×D411yescharacteristic
145C22×C4×C43C2×D411yescharacteristic
146C22×C4×C43C2411yescharacteristic
147C22×Dic43—21no—
148C22×Dic43—21no—
149C22×Dic43—21no—
150C22×Dic43—21no—
151C22×Dic43—21no—
152C22×Dic43—21no—
153C2×D172—21no—
154C2×D172—21no—
155C2×D172—21no—
156C2×D172—21no—
157C2×D172—21no—
158C2×D172—21no—
159C2×D172—21no—
160C2×D172—21no—
161C2×D172C22×C412yes—
162C2×D172C22×C412yes—
163C2×D172C2×D412yes—
164C2×D172#4112yes—
165C2×C4×D43—24no—
166C2×C4×D43—24no—
167C2×C4×D43—24no—
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—42no—
176C2×C4×D43—42no—
177C2×Dic86—21no—
178C2×Dic86—21no—
179C2×Dic86—21no—
180C2×Dic86—21no—
181C2×Dic86—21no—
182C2×Dic86C22×C412yes—
183C2×C8×C43—21no—
184C2×C8×C43—21no—
185C2×C8×C43—21no—
186C2×C8×C43—21no—
187C2×C8×C43—21no—
188C2×C8×C43—21no—
189C2×C8×C43—21no—
190C2×C8×C43—21no—
191C2×C8×C43—21no—
192C2×C8×C43—21no—
193C2×C8×C43C22×C412yes—
194C2×C8×C43C22×C412yes—
195C42×C43—22no—
196C42×C43—22no—
197C42×C43—22no—
198C42×C43—21no—
199C42×C43—21no—
200C42×C43—41no—
201C42×C43C22×C412yes—
202C42×C43C2×D412yes—
203C42×C43#4112yes—
204C42×C43#4112yes—
205(C2×D43)⋊C4—24no—
206(C2×D43)⋊C4—24no—
207(C2×D43)⋊C4—24no—
208(C2×D43)⋊C4—24no—
209(C2×D43)⋊C4—24no—
210(C2×D43)⋊C4—42no—
211(C2×D43)⋊C4—42no—
212(C2×D43)⋊C4—42no—
213C4⋊Dic43—21no—
214C4⋊Dic43—21no—
215C4⋊Dic43—21no—
216C4⋊Dic43—21no—
217C4⋊Dic43—21no—
218C4⋊Dic43—21no—
219C4⋊Dic43—21no—
220C4⋊Dic43C22×C412yes—
221C4⋊Dic43C2×D412yes—
222C4⋊Dic43#4112yes—
223Dic43⋊C4—42no—
224C4×Dic43—42no—
225C4×Dic43—42no—
226C4×Dic43—42no—
227C4×Dic43—42no—
228D344—28no—
229#10621873—28no—
230C23×C43C22×D411yescharacteristic
231C22×D43—22no—
232C22×D43—22no—
233C22×D43—22no—
234C22×D43—22no—
235C22×D43—41no—
236C22×D43—41no—
237C22×D43—41no—
238C22×D43—41no—
239C22×D43—41no—
240C22×D43—41no—
241C22×D43—41no—
242C22×D43—41no—
243C22×D43—41no—
244C22×D43—41no—
245C2×C4×C43—21no—
246C2×C4×C43—21no—
247C2×C4×C43—21no—
248C2×C4×C43—21no—
249C2×C4×C43—21no—
250C2×C4×C43—21no—
251C2×C4×C43—21no—
252C2×C4×C43—21no—
253C2×C4×C43—21no—
254C2×C4×C43—21no—
255C2×C4×C43—21no—
256C2×C4×C43C4×D412yes—
257C2×C4×C43C4×D412yes—
258C2×C4×C43#12112yes—
259C2×C4×C43#12112yes—
260C2×C4×C43#13512yes—
261C2×C4×C43#13512yes—
262C2×C4×C43AGL(1,ℤ/8)12yes—
263C2×C4×C43C23×C411yescharacteristic
264C2×C4×C43C22×D411yescharacteristic
265C2×C4×C43C2×#4111yescharacteristic
266C2×C4×C43C2×#4111yescharacteristic
267C2×C4×C43C2×#4111yescharacteristic
268C2×C4×C43C2×#4111yescharacteristic
269C2×Dic43—22no—
270C2×Dic43—22no—
271C2×Dic43—22no—
272C2×Dic43—22no—
273C2×Dic43—41no—
274C2×Dic43—41no—
275C2×Dic43—41no—
276C2×Dic43—41no—
277C2×Dic43—41no—
278C2×Dic43—41no—
279C2×Dic43—41no—
280C2×Dic43—41no—
281C2×Dic43—41no—
282C2×Dic43—41no—
283C2×Dic43—41no—
284C2×Dic43—41no—
285C2×Dic43—41no—
286C2×Dic43—41no—
287D172—22no—
288D172—22no—
289D172—22no—
290D172—22no—
291D172—22no—
292D172—41no—
293D172—41no—
294D172C4×D414yes—
295C4×D43—48no—
296C4×D43—48no—
297C4×D43—48no—
298C4×D43—84no—
299Dic86—22no—
300Dic86—22no—
301Dic86—41no—
302Dic86—41no—
303C8×C43—22no—
304C8×C43—22no—
305C8×C43—41no—
306C8×C43—41no—
307C4×#463—431nomaximal, Sylow
308C22×C43C2×C4×D411yescharacteristic
309C22×C43C2×#12111yescharacteristic
310C22×C43#52511yescharacteristic
311C22×C43C2×#13511yescharacteristic
312C22×C43C2×#13511yescharacteristic
313C22×C43C2×AGL(1,ℤ/8)11yescharacteristic
314C22×C43#57511yescharacteristic
315C2×D43—24no—
316C2×D43—42no—
317C2×D43—42no—
318C2×D43—42no—
319C2×D43—42no—
320C2×D43—42no—
321C2×D43—42no—
322C2×D43—42no—
323C2×D43—42no—
324C2×D43—42no—
325C2×D43—81no—
326C2×D43—81no—
327C2×D43—81no—
328C2×D43—81no—
329C4×C43—22no—
330C4×C43—22no—
331C4×C43—22no—
332C4×C43—22no—
333C4×C43—41no—
334C4×C43#46314yescomplemented
335C4×C43C2×C4×D411yescharacteristic
336C4×C43C4×#4111yescharacteristic
337C4×C43#52911yescharacteristic
338C4×C43#53211yescharacteristic
339Dic43—42no—
340Dic43—42no—
341Dic43—42no—
342Dic43—42no—
343Dic43—81no—
344Dic43—81no—
345C2×#463—431no—
346C2×C4×SD16—431no—
347C2×C4×D8—431no—
348C4×#124—431no—
349C42×D4—431no—
350#1983—431no—
351#1949—431no—
352#1928—431no—
353#1926—431no—
354#1879—431no—
355#1877—431no—
356#1804—431no—
357C4×C4⋊C8D4311yescharacteristic, complemented
358C4×#103—431no—
359C4×#102—431no—
360C2×C43C4×#12111yescharacteristic
361C2×C43C4×#13511yescharacteristic
362C2×C43C4×AGL(1,ℤ/8)11yescharacteristic
363C2×C43C2×#46311yescharacteristic
364C2×C43#303511yescharacteristic
365C2×C43#310211yescharacteristic
366C2×C43#310511yescharacteristic
367D43—44no—
368D43—82no—
369C22×SD16—431no—
370C22×D8—431no—
371C2×#124—431no—
372C2×C4×Q8—431no—
373C2×C4×D4—431no—
374C2×C4×D4—431no—
375C2×C4×D4—431no—
376C2×C4×D4—431no—
377C22×C42—861no—
378#463—438no—
379C4×SD16—864no—
380C4×D8—864no—
381C2×#107—431no—
382C2×#106—431no—
383C2×C4⋊C8C2×D4311yescharacteristic
384C2×C4⋊C8C2×D4311yescharacteristic
385C2×#103—431no—
386C2×#103—431no—
387C2×#103—431no—
388C2×#102—431no—
389C2×#102—431no—
390C2×#102—431no—
391C2×#102—431no—
392C2×#102—431no—
393C2×C4×C8C2×D4311yescharacteristic
394C2×C4×C8C2×D4311yescharacteristic
395#391—431no—
396#390—431no—
397#388—861no—
398#388—861no—
399#382—431no—
400C4×C4⋊C4—431no—
401C4×C4⋊C4—431no—
402C4×C4⋊C4—431no—
403C4×C22⋊C4—861no—
404C4×C22⋊C4—861no—
405C4×C22⋊C4—861no—
406C4×C22⋊C4—861no—
407C4×C22⋊C4—861no—
408C43C2×D4311yescharacteristic
409#340—431no—
410#340—431no—
411#340—431no—
412#340—431no—
413#336C2×D4311yescharacteristic
414#336C2×D4311yescharacteristic
415C43C4×#46311yescharacteristic, complemented, Sylow
416C22×Q8—431no—
417C22×D4—431no—
418C22×D4—431no—
419C23×C4—861no—
420C23×C4—861no—
421C23×C4—861no—
422C23×C4—861no—
423C2×SD16—434no—
424C2×SD16—862no—
425C2×SD16—862no—
426C2×D8—434no—
427C2×D8—862no—
428C2×D8—862no—
429C22×C8C22×D4311yescharacteristic
430C22×C8C22×D4311yescharacteristic
431C22×C8C22×D4311yescharacteristic
432C22×C8C22×D4311yescharacteristic
433#124—434no—
434#124—862no—
435C4×Q8—862no—
436C4×Q8—862no—
437C4×D4—434no—
438C4×D4—434no—
439C4×D4—862no—
440C4×D4—862no—
441C4×D4—862no—
442C4×D4—862no—
443C4×D4—862no—
444C4×D4—862no—
445C2×C4⋊C4—431no—
446C2×C4⋊C4—431no—
447C2×C4⋊C4—431no—
448C2×C4⋊C4—431no—
449C2×C4⋊C4—431no—
450C2×C4⋊C4—861no—
451C2×C22⋊C4—861no—
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×C22⋊C4—861no—
459C2×C42—861no—
460C2×C42—861no—
461C2×C42—861no—
462C2×C42—861no—
463C2×C42—1724no—
464C2×C42D17211yescharacteristic
465C2×C42D17211yescharacteristic
466C2×C42D17211yescharacteristic
467C2×C42D17211yescharacteristic
468C2×C42C22×D4311yescharacteristic
469C2×C42C22×D4311yescharacteristic
470C2×C42C22×D4311yescharacteristic
471#107—862no—
472#106—862no—
473C4⋊C8—22no—
474C4⋊C8C4×D4314yescomplemented
475#103—434no—
476#103—862no—
477#103—862no—
478#102—434no—
479#102—862no—
480#102—862no—
481#102—862no—
482#102—862no—
483C4×C8—22no—
484C4×C8—22no—
485#95—861no—
486#95—861no—
487#95—861no—
488#95—861no—
489#95—861no—
490#95—861no—
491#95—861no—
492C24—861no—
493C24—861no—
494C2×Q8—432no—
495C2×Q8—861no—
496C2×Q8—861no—
497C2×Q8—861no—
498C2×Q8—861no—
499C2×Q8—861no—
500C2×D4—432no—
501C2×D4—432no—
502C2×D4—432no—
503C2×D4—432no—
504C2×D4—861no—
505C2×D4—861no—
506C2×D4—861no—
507C2×D4—861no—
508C2×D4—861no—
509C2×D4—861no—
510C2×D4—861no—
511C2×D4—861no—
512C22×C4—864no—
513C22×C4—861no—
514C22×C4—861no—
515C22×C4—861no—
516C22×C4—861no—
517C22×C4—864no—
518C22×C4—864no—
519C22×C4—861no—
520C22×C4—861no—
521C22×C4—1722no—
522C22×C4—1722no—
523C22×C4—1722no—
524C22×C4—1722no—
525C22×C4—1722no—
526C22×C4—1722no—
527C22×C4—1722no—
528C22×C4—1722no—
529C22×C4—1722no—
530C22×C4C2×D17211yescharacteristic
531C22×C4C2×D17211yescharacteristic
532C22×C4C2×D17211yescharacteristic
533C22×C4C2×D17211yescharacteristic
534C22×C4C2×D17211yescharacteristic
535C22×C4C2×D17211yescharacteristic
536C22×C4C23×D4311yescharacteristic
537SD16—868no—
538D8—868no—
539C2×C8—21no—
540C2×C8—21no—
541C2×C8—21no—
542C2×C8—21no—
543C2×C8—21no—
544C2×C8—21no—
545C2×C8—21no—
546C2×C8—21no—
547C2×C8—21no—
548C2×C8—21no—
549C2×C8C2×C4×D4312yes—
550C2×C8C2×C4×D4312yes—
551C4⋊C4—432no—
552C4⋊C4—432no—
553C4⋊C4—432no—
554C4⋊C4—861no—
555C4⋊C4—861no—
556C4⋊C4—861no—
557C4⋊C4—861no—
558C4⋊C4—861no—
559C4⋊C4—861no—
560C4⋊C4—861no—
561C4⋊C4—1722no—
562C22⋊C4—864no—
563C22⋊C4—864no—
564C22⋊C4—864no—
565C22⋊C4—864no—
566C22⋊C4—864no—
567C22⋊C4—1722no—
568C22⋊C4—1722no—
569C22⋊C4—1722no—
570C42—22no—
571C42—22no—
572C42—22no—
573C42—21no—
574C42—21no—
575C42—41no—
576C42—1722no—
577C42—1722no—
578C42—1722no—
579C42—1722no—
580C42C2×C4×D4312yes—
581C42#1062189812yes—
582C42D4×D4312yes—
583C42#1062190212yes—
584C23—862no—
585C23—862no—
586C23—862no—
587C23—862no—
588C23—1721no—
589C23—1721no—
590C23—1721no—
591C23—1721no—
592C23—1721no—
593C23—1721no—
594C23—1721no—
595C23—1721no—
596C23—1721no—
597C23—1721no—
598C23C22×D17211yescharacteristic
599Q8—862no—
600Q8—862no—
601Q8—1721no—
602Q8—1721no—
603D4—434no—
604D4—862no—
605D4—862no—
606D4—862no—
607D4—862no—
608D4—862no—
609D4—1721no—
610D4—1721no—
611C2×C4—21no—
612C2×C4—21no—
613C2×C4—21no—
614C2×C4—21no—
615C2×C4—21no—
616C2×C4—21no—
617C2×C4—21no—
618C2×C4—21no—
619C2×C4—21no—
620C2×C4—21no—
621C2×C4—21no—
622C2×C4—862no—
623C2×C4—862no—
624C2×C4—862no—
625C2×C4—862no—
626C2×C4—3444no—
627C2×C4—1728no—
628C2×C4—1728no—
629C2×C4—1721no—
630C2×C4—1721no—
631C2×C4—1721no—
632C2×C4—1721no—
633C2×C4—1721no—
634C2×C4—1721no—
635C2×C4—1721no—
636C2×C4—1721no—
637C2×C4—1721no—
638C2×C4—1721no—
639C2×C4—1721no—
640C2×C4—1721no—
641C2×C4—1721no—
642C2×C4—1721no—
643C2×C4—1728no—
644C2×C4C4×D17212yes—
645C2×C4C4×D17212yes—
646C2×C4#1306330012yes—
647C2×C4#1306330012yes—
648C2×C4#1306334712yes—
649C2×C4#1306334712yes—
650C2×C4#1306335312yes—
651C2×C4C22×C4×D4311yescharacteristic
652C2×C4C2×D4×D4311yescharacteristic
653C2×C4#41×D4311yescharacteristic
654C2×C4#41×D4311yescharacteristic
655C2×C4C2×#1062189811yescharacteristic
656C2×C4C2×#1062190211yescharacteristic
657C8—22no—
658C8—22no—
659C8—41no—
660C8—41no—
661C22—864no—
662C22—3441no—
663C22—3441no—
664C22—3441no—
665C22—3441no—
666C22—1722no—
667C22—1722no—
668C22—1722no—
669C22—1722no—
670C22—1722no—
671C22—1722no—
672C22—1722no—
673C22—1722no—
674C22—1722no—
675C22C2×C4×D17211yescharacteristic
676C22C2×#1306330011yescharacteristic
677C22#1458341111yescharacteristic
678C22C2×#1306334711yescharacteristic
679C22C2×#1306334711yescharacteristic
680C22C2×#1306335311yescharacteristic
681C22#1458369911yescharacteristic
682C4—22no—
683C4—22no—
684C4—22no—
685C4—22no—
686C4—41no—
687C4—3441no—
688C4—3441no—
689C4—1722no—
690C4—1722no—
691C4—1722no—
692C4—1722no—
693C4#1458311514yesdirect product factor
694C4C4×D4×D4311yescharacteristic
695C4C4×#1062190211yescharacteristic
696C4#1458343611yescharacteristic
697C4#1458344611yescharacteristic
698C2—3442no—
699C2—1724no—
700C2C4×#1306330011yescharacteristic
701C2C4×#1306334711yescharacteristic
702C2C4×#1306335311yescharacteristic
703C2C2×#1458311511yescharacteristic
704C2#1914405211yescharacteristic
705C2#1914461511yescharacteristic
706C2#1914464411yescharacteristic
subgroupG/H
centerC22×C4C2×D172
commutatorC2×C4×C43C23×C4
FrattiniC22×C4C23×D43
FittingC4×C4⋊C8×C43C2
socleC23×C43C22×D4
prime radicalC22×D344C22
cosocleC22×C4×C43C24
hypercenterC4×C4⋊C8D43
hypocenterC43C4×#463
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22×C4 ◁ C43 ◁ C4×C4⋊C8

Complements

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

NH ≅ G/Ntype
2. C2×C4×#10621873C2semidirect
4. C4×#13063313C2semidirect
5. C42×D172C2semidirect
6. #19135525C2semidirect
7. #19135365C2semidirect
8. #19135237C2semidirect
9. #19135223C2semidirect
11. #19134928C2semidirect
12. #19134606C2semidirect
13. C4×#13063250C2semidirect
14. C4×#13063247C2semidirect
15. C4×C4⋊C8×C43C2semidirect
25. #14583115C4direct (N × H)
71. C2×#10621873C2×C4semidirect
76. #13063313C2×C4semidirect
85. C4×D172C2×C4semidirect
110. #13063250C2×C4semidirect
115. #13063247C2×C4semidirect
135. C4⋊C8×C43C2×C4semidirect
334. C4×C43#463semidirect
357. C4×C4⋊C8D43semidirect
415. C43C4×#463semidirect
474. C4⋊C8C4×D43semidirect
693. C4#14583115direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#145831152
C2×C4×#106218732
C2×C4×D3442
C4×#130633132
C42×D1722
#191355252
#191353652
#191352372
#191352232
#191349422
#191349282
#191346062
C4×#130632502
C4×#130632472
C4×C4⋊C8×C432
C4×#46343