Finite Group Databasebeta

← C4×#14583144 #25103224

Subgroups — C4×#14583144 #25103224

Order 11008.

1086 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×#14583144C211yesmaximal, characteristic
2C2×C4×#10621883C211yesmaximal, characteristic, complemented
3C2×C4×#10621872C211yesmaximal, characteristic, complemented
4C4×#13063305C211yesmaximal, characteristic, complemented
5C4×#13063296C211yesmaximal, characteristic
6#19135477C211yesmaximal, characteristic, complemented
7#19135332C211yesmaximal, characteristic, complemented
8#19135294C211yesmaximal, characteristic, complemented
9#19135283C211yesmaximal, characteristic, complemented
10#19135030C211yesmaximal, characteristic
11#19135027C211yesmaximal, characteristic, complemented
12#19134627C211yesmaximal, characteristic, complemented
13C4×#13063258C211yesmaximal, characteristic, complemented
14C4×#13063250C211yesmaximal, characteristic, complemented
15C4×#102×C43C211yesmaximal, characteristic, complemented
16C22×#10621883C2211yescharacteristic
17C22×#10621872C2211yescharacteristic
18C22×#10621872C2211yescharacteristic
19C2×#13063305C2211yescharacteristic
20C2×#13063296C2211yescharacteristic
21C2×C4×Dic86C2211yescharacteristic
22C2×C4×C22⋊D43—21no—
23C2×C42×D43C2211yescharacteristic
24#14583144C418yesdirect product factor
25C4×#10621883—24no—
26C2×#13063258C2211yescharacteristic
27C2×#13063258C2211yescharacteristic
28C2×#13063256C2211yescharacteristic
29C2×#13063250C2211yescharacteristic
30C2×#13063250C2211yescharacteristic
31C2×#13063248C2211yescharacteristic
32C2×#13063246C2211yescharacteristic
33C4×#10621872—24no—
34C2×#13063235C2211yescharacteristic
35C2×#13063235C2211yescharacteristic
36C2×C4×C43⋊C8C2211yescharacteristic
37#14582804C2211yescharacteristic
38#14582802C2211yescharacteristic
39#14582798C2211yescharacteristic
40#14582795C2211yescharacteristic
41#14582787—21no—
42#14582784—21no—
43#14582775—21no—
44#14582773—21no—
45#14582756C2211yescharacteristic
46#14582756C2211yescharacteristic
47C4×C4⋊Dic43—21no—
48C4×C4⋊Dic43C2211yescharacteristic
49C4×(C2×D43)⋊C4—21no—
50C4×C22⋊Dic43—21no—
51#14582662C2211yescharacteristic
52#14582662C2211yescharacteristic
53#14582661C2211yescharacteristic
54#14582661C2211yescharacteristic
55C2×C4×D4×C43C2211yescharacteristic
56C2×#102×C43C2211yescharacteristic
57C2×#102×C43C2211yescharacteristic
58C2×C4×C8×C43C2211yescharacteristic
59C4×C4⋊C4×C43C2211yescharacteristic
60C43×#340C2211yescharacteristic
61C43×#340C2211yescharacteristic
62C22×Dic86C2311yescharacteristic
63C22×C22⋊D43—21no—
64C22×C4×D43D411yescharacteristic
65C22×C4×D43D411yescharacteristic
66C22×C4×D43C2311yescharacteristic
67C2×#10621883—22no—
68C2×#10621883—22no—
69C2×#10621883C2×C414yescomplemented
70C2×#10621872—22no—
71C2×#10621872—22no—
72C2×#10621872—22no—
73C2×#10621872—22no—
74C2×#10621872—22no—
75C2×#10621872C2×C414yescomplemented
76C22×C43⋊C8C2311yescharacteristic
77C22×C43⋊C8C2311yescharacteristic
78#13063305—22no—
79#13063305C2×C414yescomplemented
80#13063296—22no—
81#13063296C2×C414yes—
82C4×Dic86—22no—
83C4×Dic86—22no—
84C4×C22⋊D43—44no—
85C2×C4⋊Dic43—21no—
86C2×C4⋊Dic43—21no—
87C2×C4⋊Dic43C2311yescharacteristic
88C2×C4⋊Dic43C2311yescharacteristic
89C2×C4⋊Dic43C2311yescharacteristic
90C2×Dic43⋊C4—21no—
91C2×Dic43⋊C4—21no—
92C2×C22⋊Dic43—21no—
93C2×C22⋊Dic43—21no—
94C2×C22⋊Dic43—21no—
95C2×(C2×D43)⋊C4—21no—
96C2×(C2×D43)⋊C4—21no—
97C2×(C2×D43)⋊C4—21no—
98C2×C4×Dic43—21no—
99C2×C4×Dic43—21no—
100C2×C4×Dic43D411yescharacteristic
101C2×C4×Dic43D411yescharacteristic
102C2×C4×Dic43C2311yescharacteristic
103C42×D43—22no—
104C42×D43—22no—
105#13063258—22no—
106#13063258C2×C414yescomplemented
107#13063256—22no—
108#13063250—22no—
109#13063250C2×C414yescomplemented
110#13063248—22no—
111#13063246—22no—
112#13063235—22no—
113#13063235—22no—
114C4×C43⋊C8D414yescomplemented
115C43⋊#95—21no—
116C43⋊#95—21no—
117C43⋊#95—21no—
118C43⋊#95—21no—
119C43⋊#95—21no—
120C43⋊#95—21no—
121C43⋊#95—21no—
122C22×D4×C43C2311yescharacteristic
123C23×C4×C43—21no—
124C22×C8×C43C2311yescharacteristic
125C22×C8×C43C2311yescharacteristic
126C4×D4×C43—22no—
127C4×D4×C43—22no—
128C2×C4⋊C4×C43C2311yescharacteristic
129C2×C4⋊C4×C43C2311yescharacteristic
130C2×C4⋊C4×C43C2311yescharacteristic
131C2×C22⋊C4×C43—21no—
132C2×C42×C43—21no—
133C2×C42×C43C2311yescharacteristic
134#102×C43—22no—
135#102×C43C2×C414yescomplemented
136C4×C8×C43—22no—
137#95×C43—21no—
138C24×C43—21no—
139C23×D43C2×D411yescharacteristic
140C2×D4×C43—21no—
141C2×D4×C43—21no—
142C2×D4×C43—21no—
143C2×D4×C43—21no—
144C2×D4×C43—21no—
145C2×D4×C43C22×C412yes—
146C22×C4×C43—21no—
147C22×C4×C43—21no—
148C22×C4×C43—21no—
149C22×C4×C43—42no—
150C22×C4×C43—42no—
151C22×C4×C43—42no—
152C22×C4×C43C2×D411yescharacteristic
153C22×C4×C43C2×D411yescharacteristic
154C22×C4×C43C2411yescharacteristic
155C2×C22⋊D43—24no—
156C2×C22⋊D43—42no—
157C2×C22⋊D43—42no—
158C22×Dic43—21no—
159C22×Dic43—21no—
160C22×Dic43—21no—
161C22×Dic43—21no—
162C22×Dic43C2×D411yescharacteristic
163C22×Dic43C2×D411yescharacteristic
164C22×Dic43C2×D411yescharacteristic
165C2×C4×D43—21no—
166C2×C4×D43—21no—
167C2×C4×D43—21no—
168C2×C4×D43—21no—
169C2×C4×D43—22no—
170C2×C4×D43—22no—
171C2×C4×D43—22no—
172C2×C4×D43—22no—
173C2×C4×D43—41no—
174C2×C4×D43—41no—
175C2×C4×D43C22×C412yes—
176C2×C4×D43#4112yes—
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×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×C43C22×C412yes—
195C22⋊C4×C43—42no—
196C42×C43—42no—
197C42×C43C2×D412yes—
198C42×C43#4112yes—
199C22⋊Dic43—24no—
200C22⋊Dic43—42no—
201C22⋊Dic43—42no—
202#10621883—28no—
203(C2×D43)⋊C4—24no—
204(C2×D43)⋊C4—42no—
205(C2×D43)⋊C4—42no—
206C4⋊Dic43—21no—
207C4⋊Dic43—24no—
208C4⋊Dic43—21no—
209C4⋊Dic43—21no—
210C4⋊Dic43—21no—
211C4⋊Dic43—21no—
212C4⋊Dic43—42no—
213C4⋊Dic43C22×C412yes—
214Dic43⋊C4—42no—
215Dic43⋊C4—42no—
216C4×Dic43—22no—
217C4×Dic43—22no—
218C4×Dic43—21no—
219C4×Dic43—21no—
220C4×Dic43—42no—
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—
228#10621872—28no—
229#10621872—28no—
230C23×C43—22no—
231C23×C43—41no—
232C23×C43—41no—
233C23×C43—41no—
234C23×C43—41no—
235C23×C43—41no—
236C23×C43—41no—
237C23×C43C22×D411yescharacteristic
238C22×D43—21no—
239C22×D43—21no—
240C22×D43—21no—
241C22×D43—21no—
242C22×D43—21no—
243C22×D43—21no—
244C22×D43C4×D412yes—
245D4×C43—22no—
246D4×C43—22no—
247D4×C43—41no—
248D4×C43—41no—
249C2×C4×C43—21no—
250C2×C4×C43—21no—
251C2×C4×C43—22no—
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×C43—41no—
260C2×C4×C43—84no—
261C2×C4×C43#12112yes—
262C2×C4×C43#12112yes—
263C2×C4×C43AGL(1,ℤ/8)12yes—
264C2×C4×C43#13712yes—
265C2×C4×C43C23×C411yescharacteristic
266C2×C4×C43C22×D411yescharacteristic
267C2×C4×C43C2×#4111yescharacteristic
268C2×C4×C43C2×#4111yescharacteristic
269C2×C4×C43C2×#4111yescharacteristic
270C2×C4×C43C2×#4111yescharacteristic
271C22⋊D43—48no—
272C2×Dic43—21no—
273C2×Dic43—21no—
274C2×Dic43—22no—
275C2×Dic43—22no—
276C2×Dic43—21no—
277C2×Dic43—21no—
278C2×Dic43—21no—
279C2×Dic43—21no—
280C2×Dic43—21no—
281C2×Dic43—21no—
282C2×Dic43—41no—
283C2×Dic43—41no—
284C2×Dic43—41no—
285C2×Dic43—41no—
286C2×Dic43—41no—
287C2×Dic43—41no—
288C2×Dic43—41no—
289C2×Dic43—41no—
290C2×Dic43—41no—
291C2×Dic43—41no—
292C2×Dic43C4×D412yes—
293C4×D43—22no—
294C4×D43—22no—
295C4×D43—22no—
296C4×D43—22no—
297C4×D43—44no—
298C4×D43—44no—
299Dic86—22no—
300Dic86—22no—
301Dic86—41no—
302Dic86—41no—
303C8×C43—22no—
304C8×C43—22no—
305C43⋊C8—22no—
306C43⋊C8C4×D414yescomplemented
307C4×#468—431nomaximal, Sylow
308C22×C43—42no—
309C22×C43—42no—
310C22×C43—42no—
311C22×C43—81no—
312C22×C43—81no—
313C22×C43—81no—
314C22×C43—81no—
315C22×C43C2×C4×D411yescharacteristic
316C22×C43C2×#12111yescharacteristic
317C22×C43#53211yescharacteristic
318C22×C43C2×AGL(1,ℤ/8)11yescharacteristic
319C22×C43C2×#13711yescharacteristic
320C22×C43#57511yescharacteristic
321C22×C43#57511yescharacteristic
322C2×D43—22no—
323C2×D43—22no—
324C2×D43—22no—
325C2×D43—41no—
326C2×D43—41no—
327C2×D43—41no—
328C2×D43—41no—
329C4×C43—22no—
330C4×C43—42no—
331C4×C43—81no—
332C4×C43—81no—
333C4×C43#46814yescomplemented
334C4×C43C2×C4×D411yescharacteristic
335C4×C43C4×#4111yescharacteristic
336C4×C43#52511yescharacteristic
337C4×C43#52911yescharacteristic
338Dic43—22no—
339Dic43—42no—
340Dic43—41no—
341Dic43—41no—
342Dic43—42no—
343Dic43—81no—
344Dic43—81no—
345C2×#468—431no—
346C2×C4×SD16—431no—
347C2×C4×M16—431no—
348C4×C22⋊Q8—431no—
349C4×#121—431no—
350#1973—431no—
351#1943—431no—
352#1936—431no—
353#1935—431no—
354#1895—431no—
355#1894—431no—
356#1809—431no—
357C4×#107—431no—
358C4×#103—431no—
359C4×#102D4311yescharacteristic, complemented
360C2×C43—82no—
361C2×C43C4×#12111yescharacteristic
362C2×C43C4×AGL(1,ℤ/8)11yescharacteristic
363C2×C43C4×#13711yescharacteristic
364C2×C43C2×#46811yescharacteristic
365C2×C43#305411yescharacteristic
366C2×C43#317111yescharacteristic
367C2×C43#317211yescharacteristic
368D43—42no—
369C22×SD16—431no—
370C22×M16—431no—
371C22×M16—431no—
372C2×C22⋊Q8—431no—
373C2×#121—431no—
374C2×C4×Q8—431no—
375C2×C4×D4—861no—
376C2×C4×D4C2×D4311yescharacteristic
377C22×C42—431no—
378#468—438no—
379C4×SD16—864no—
380C2×#107—431no—
381C2×#107—431no—
382C2×#106—431no—
383C2×#103—431no—
384C2×#103—431no—
385C2×#103—431no—
386C2×#102—431no—
387C2×#102C2×D4311yescharacteristic
388C2×#102C2×D4311yescharacteristic
389C4×M16—864no—
390C2×#97—431no—
391C2×#97—431no—
392C2×C4×C8—431no—
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×#46811yescharacteristic, complemented, Sylow
416C22×Q8—431no—
417C22×D4—861no—
418C22×D4C22×D4311yescharacteristic
419C23×C4—21no—
420C23×C4—431no—
421C23×C4—431no—
422C23×C4—431no—
423C2×SD16—434no—
424C2×SD16—862no—
425C2×SD16—862no—
426C2×M16—434no—
427C2×M16—862no—
428C2×M16—862no—
429C2×M16—862no—
430C2×M16—862no—
431C2×M16—862no—
432C22×C8—431no—
433C22×C8—431no—
434C22×C8C22×D4311yescharacteristic
435C22×C8C22×D4311yescharacteristic
436C22⋊Q8—434no—
437C22⋊Q8—862no—
438#121—434no—
439#121—862no—
440C4×Q8—862no—
441C4×Q8—862no—
442C4×D4—22no—
443C4×D4—22no—
444C4×D4—1724no—
445C2×C4⋊C4—431no—
446C2×C4⋊C4—431no—
447C2×C4⋊C4—431no—
448C2×C4⋊C4—861no—
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—21no—
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—431no—
464C2×C42—431no—
465C2×C42—431no—
466C2×C42—862no—
467C2×C42—862no—
468C2×C42—861no—
469C2×C42—861no—
470C2×C42C22×D4311yescharacteristic
471#107—434no—
472#107—862no—
473#106—862no—
474#103—434no—
475#103—862no—
476#103—862no—
477#102—22no—
478#102—862no—
479#102C4×D4314yescomplemented
480#97—862no—
481#97—862no—
482C4×C8—22no—
483C4×C8—434no—
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—21no—
493C24—431no—
494C2×Q8—432no—
495C2×Q8—861no—
496C2×Q8—861no—
497C2×Q8—861no—
498C2×Q8—861no—
499C2×Q8—861no—
500C2×D4—21no—
501C2×D4—21no—
502C2×D4—21no—
503C2×D4—21no—
504C2×D4—21no—
505C2×D4—864no—
506C2×D4—1722no—
507C2×D4—1722no—
508C2×D4C2×C4×D4312yes—
509C22×C4—21no—
510C22×C4—21no—
511C22×C4—21no—
512C22×C4—42no—
513C22×C4—42no—
514C22×C4—42no—
515C22×C4—431no—
516C22×C4—432no—
517C22×C4—432no—
518C22×C4—431no—
519C22×C4—431no—
520C22×C4—861no—
521C22×C4—861no—
522C22×C4—861no—
523C22×C4—861no—
524C22×C4—861no—
525C22×C4—861no—
526C22×C4—862no—
527C22×C4—862no—
528C22×C4—862no—
529C22×C4—862no—
530C22×C4—861no—
531C22×C4—861no—
532C22×C4—1721no—
533C22×C4—1721no—
534C22×C4D4×D4311yescharacteristic
535C22×C4D4×D4311yescharacteristic
536C22×C4C23×D4311yescharacteristic
537SD16—868no—
538M16—868no—
539M16—868no—
540C2×C8—21no—
541C2×C8—21no—
542C2×C8—21no—
543C2×C8—21no—
544C2×C8—432no—
545C2×C8—432no—
546C2×C8—432no—
547C2×C8—432no—
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—432no—
558C4⋊C4—864no—
559C4⋊C4—861no—
560C4⋊C4—861no—
561C4⋊C4—861no—
562C4⋊C4—861no—
563C4⋊C4—861no—
564C4⋊C4—1722no—
565C4⋊C4—1722no—
566C4⋊C4—1722no—
567C4⋊C4C2×C4×D4312yes—
568C22⋊C4—42no—
569C22⋊C4—864no—
570C22⋊C4—864no—
571C22⋊C4—1722no—
572C22⋊C4—1722no—
573C22⋊C4—1722no—
574C22⋊C4—1722no—
575C42—42no—
576C42—862no—
577C42—862no—
578C42—861no—
579C42—861no—
580C42—1722no—
581C42—1722no—
582C42#1062189812yes—
583C42D4×D4312yes—
584C23—22no—
585C23—41no—
586C23—41no—
587C23—41no—
588C23—41no—
589C23—41no—
590C23—41no—
591C23—432no—
592C23—861no—
593C23—861no—
594C23—861no—
595C23—861no—
596C23—861no—
597C23—861no—
598C23C2×D4×D4311yescharacteristic
599Q8—862no—
600Q8—862no—
601Q8—1721no—
602Q8—1721no—
603D4—22no—
604D4—22no—
605D4—41no—
606D4—41no—
607D4—1728no—
608C2×C4—21no—
609C2×C4—21no—
610C2×C4—22no—
611C2×C4—41no—
612C2×C4—41no—
613C2×C4—41no—
614C2×C4—41no—
615C2×C4—41no—
616C2×C4—41no—
617C2×C4—41no—
618C2×C4—41no—
619C2×C4—84no—
620C2×C4—432no—
621C2×C4—861no—
622C2×C4—861no—
623C2×C4—862no—
624C2×C4—862no—
625C2×C4—862no—
626C2×C4—862no—
627C2×C4—862no—
628C2×C4—862no—
629C2×C4—861no—
630C2×C4—861no—
631C2×C4—861no—
632C2×C4—861no—
633C2×C4—861no—
634C2×C4—861no—
635C2×C4—1724no—
636C2×C4—1721no—
637C2×C4—1721no—
638C2×C4—1721no—
639C2×C4—1721no—
640C2×C4—1721no—
641C2×C4—1721no—
642C2×C4—1721no—
643C2×C4—1721no—
644C2×C4—1721no—
645C2×C4—1721no—
646C2×C4—1724no—
647C2×C4#1306329812yes—
648C2×C4#1306329812yes—
649C2×C4#1306334912yes—
650C2×C4#1306335412yes—
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—42no—
662C22—42no—
663C22—42no—
664C22—81no—
665C22—81no—
666C22—81no—
667C22—81no—
668C22—862no—
669C22—862no—
670C22—862no—
671C22—1721no—
672C22—1721no—
673C22—1721no—
674C22—1721no—
675C22C4×D4×D4311yescharacteristic
676C22C2×#1306329811yescharacteristic
677C22#1458344611yescharacteristic
678C22C2×#1306334911yescharacteristic
679C22C2×#1306335411yescharacteristic
680C22#1458369611yescharacteristic
681C22#1458369611yescharacteristic
682C4—22no—
683C4—42no—
684C4—81no—
685C4—81no—
686C4—862no—
687C4—3441no—
688C4—3441no—
689C4—1721no—
690C4—1722no—
691C4—1722no—
692C4—1721no—
693C4#1458314414yesdirect product factor
694C4C4×D4×D4311yescharacteristic
695C4C4×#1062189811yescharacteristic
696C4#1458340811yescharacteristic
697C4#1458342711yescharacteristic
698C2—82no—
699C2—1722no—
700C2C4×#1306329811yescharacteristic
701C2C4×#1306334911yescharacteristic
702C2C4×#1306335411yescharacteristic
703C2C2×#1458314411yescharacteristic
704C2#1914420311yescharacteristic
705C2#1914518811yescharacteristic
706C2#1914519711yescharacteristic
subgroupG/H
centerC22×C4D4×D43
commutatorC2×C4×C43C23×C4
FrattiniC22×C4C23×D43
FittingC4×#102×C43C2
socleC23×C43C22×D4
prime radicalC2×#13063296C22
cosocleC22×C4×C43C24
hypercenterC4×#102D43
hypocenterC43C4×#468
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22×C4 ◁ C2×C42 ◁ C4×#102

Complements

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

NH ≅ G/Ntype
2. C2×C4×#10621883C2semidirect
3. C2×C4×#10621872C2semidirect
4. C4×#13063305C2semidirect
6. #19135477C2semidirect
7. #19135332C2semidirect
8. #19135294C2semidirect
9. #19135283C2semidirect
11. #19135027C2semidirect
12. #19134627C2semidirect
13. C4×#13063258C2semidirect
14. C4×#13063250C2semidirect
15. C4×#102×C43C2semidirect
24. #14583144C4direct (N × H)
69. C2×#10621883C2×C4semidirect
75. C2×#10621872C2×C4semidirect
79. #13063305C2×C4semidirect
106. #13063258C2×C4semidirect
109. #13063250C2×C4semidirect
114. C4×C43⋊C8D4semidirect
135. #102×C43C2×C4semidirect
306. C43⋊C8C4×D4semidirect
333. C4×C43#468semidirect
359. C4×#102D43semidirect
415. C43C4×#468semidirect
479. #102C4×D43semidirect
693. C4#14583144direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#145831442
C2×C4×#106218832
C2×C4×#106218722
C4×#130633052
C4×#130632962
#191354772
#191353322
#191352942
#191352832
#191350302
#191350272
#191346272
C4×#130632582
C4×#130632502
C4×#102×C432
C4×#46843