Finite Group Databasebeta

← #25099304

Subgroups — #25099304

Order 11008.

1198 conjugacy classes of subgroups.

The subgroup lattice has 726 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#14582897C211yesmaximal, characteristic
2C2×#14582897C211yesmaximal, characteristic
3C2×C4×#10621872C211yesmaximal, characteristic, complemented
4#19137082C211yesmaximal, characteristic
5#389×D43C211yesmaximal, characteristic, complemented
6#19135294C211yesmaximal, characteristic, complemented
7#19135289C211yesmaximal, characteristic, complemented
8#19135286C211yesmaximal, characteristic, complemented
9#19135283C211yesmaximal, characteristic, complemented
10#19135281C211yesmaximal, characteristic, complemented
11#19135271C211yesmaximal, characteristic, complemented
12#19135270C211yesmaximal, characteristic, complemented
13#19134313C211yesmaximal, characteristic, complemented
14#19134313C211yesmaximal, characteristic, complemented
15C43×#1934C211yesmaximal, characteristic, complemented
16C22×#10621900C2211yescharacteristic
17C22×#10621872C2211yescharacteristic
18C22×#10621872C2211yescharacteristic
19C2×#13063283C2211yescharacteristic
20C2×C4⋊C4×D43—21no—
21C2×C4⋊C4×D43C2211yescharacteristic
22C2×C4⋊C4×D43C2211yescharacteristic
23C2×C42×D43C2211yescharacteristic
24#14582897—24no—
25#14582897C418yescomplemented
26C2×#13063250C2211yescharacteristic
27C2×#13063250C2211yescharacteristic
28C2×#13063248C2211yescharacteristic
29C2×#13063248C2211yescharacteristic
30C2×#13063246C2211yescharacteristic
31C2×#13063246C2211yescharacteristic
32C4×#10621872—24no—
33C2×#13063235C2211yescharacteristic
34C2×#13063235C2211yescharacteristic
35C2×C4×C43⋊C8C2211yescharacteristic
36#14582805C2211yescharacteristic
37#14582804C2211yescharacteristic
38#14582802C2211yescharacteristic
39#14582798C2211yescharacteristic
40#14582797C2211yescharacteristic
41#14582796—21no—
42#14582795C2211yescharacteristic
43#14582794—21no—
44#14582775—21no—
45#14582775—21no—
46C22⋊C4×Dic43—21no—
47C22⋊C4×Dic43—21no—
48#95×D43—21no—
49#14582662C2211yescharacteristic
50#14582662C2211yescharacteristic
51#14582661C2211yescharacteristic
52#14582661C2211yescharacteristic
53#14582661C2211yescharacteristic
54#14582661C2211yescharacteristic
55C2×#102×C43C2211yescharacteristic
56C2×#102×C43C2211yescharacteristic
57C2×C4×C8×C43C2211yescharacteristic
58C43×#390C2211yescharacteristic
59C43×#389C2211yescharacteristic
60C43×#340C2211yescharacteristic
61C43×#340C2211yescharacteristic
62C2×#10621900—22no—
63C2×#10621900—22no—
64C2×#10621900—22no—
65C2×#10621900—22no—
66C2×#10621900—22no—
67C2×#10621900C2×C414yes—
68C22×Dic86C2311yescharacteristic
69C22×C22⋊D43—21no—
70C23×Dic43—21no—
71C22×C4×D43—21no—
72C22×C4×D43—21no—
73C22×C4×D43D411yescharacteristic
74C22×C4×D43D411yescharacteristic
75C22×C4×D43C2311yescharacteristic
76C2×#10621872—22no—
77C2×#10621872—22no—
78C2×#10621872—22no—
79C2×#10621872—22no—
80C2×#10621872C2×C414yes—
81C2×#10621872D414yes—
82C22×C43⋊C8C2311yescharacteristic
83C22×C43⋊C8C2311yescharacteristic
84#13063283—22no—
85#13063283—22no—
86C2×C4⋊Dic43—21no—
87C2×C4⋊Dic43C2311yescharacteristic
88C2×C4⋊Dic43C2311yescharacteristic
89C2×C4⋊Dic43C2311yescharacteristic
90C2×Dic43⋊C4—21no—
91C2×Dic43⋊C4—21no—
92C2×Dic43⋊C4—21no—
93C2×Dic43⋊C4—21no—
94C4⋊C4×D43—22no—
95C4⋊C4×D43—22no—
96C4⋊C4×D43—22no—
97C4⋊C4×D43—44no—
98C4⋊C4×D43C2×C414yes—
99C2×C22⋊Dic43—21no—
100C2×C22⋊Dic43—21no—
101C2×(C2×D43)⋊C4—21no—
102C2×C4×Dic43—21no—
103C2×C4×Dic43D411yescharacteristic
104C2×C4×Dic43D411yescharacteristic
105C2×C4×Dic43C2311yescharacteristic
106C42×D43—22no—
107C42×D43—22no—
108#13063250—22no—
109#13063250C2×C414yescomplemented
110#13063248—22no—
111#13063248C2×C414yescomplemented
112#13063246—22no—
113#13063246C2×C414yescomplemented
114#13063235—22no—
115#13063235—22no—
116C4×C43⋊C8—22no—
117C43⋊#95—21no—
118C43⋊#95—21no—
119C43⋊#95—21no—
120C43⋊#95—21no—
121C43⋊#95—21no—
122C43⋊#95—21no—
123C43⋊#95—21no—
124C22×D4×C43C2311yescharacteristic
125C22×C8×C43C2311yescharacteristic
126C22×C8×C43C2311yescharacteristic
127C2×C4⋊C4×C43—21no—
128C2×C4⋊C4×C43C2311yescharacteristic
129C2×C4⋊C4×C43C2311yescharacteristic
130C2×C4⋊C4×C43C2311yescharacteristic
131C2×C22⋊C4×C43—21no—
132C2×C22⋊C4×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×C43C2×D411yescharacteristic
150C22×C4×C43C2×D411yescharacteristic
151C22×C4×C43C2411yescharacteristic
152C2×C22⋊D43—24no—
153C2×C22⋊D43—42no—
154C2×C22⋊D43—42no—
155C22×Dic43—24no—
156C22×Dic43—21no—
157C22×Dic43—21no—
158C22×Dic43—21no—
159C22×Dic43—21no—
160C22×Dic43—42no—
161C22×Dic43—42no—
162C22×Dic43C2×D411yescharacteristic
163C22×Dic43C2×D411yescharacteristic
164C22×Dic43C2×D411yescharacteristic
165#10621900—28no—
166#10621900—28no—
167#10621900—44no—
168#10621900—44no—
169C2×C4×D43—22no—
170C2×C4×D43—22no—
171C2×C4×D43—24no—
172C2×C4×D43—22no—
173C2×C4×D43—22no—
174C2×C4×D43—41no—
175C2×C4×D43—41no—
176C2×C4×D43—42no—
177C2×C4×D43—42no—
178C2×C4×D43—42no—
179C2×C4×D43—42no—
180C2×C4×D43—42no—
181C2×C4×D43C22×C412yes—
182C2×C4×D43C2×D412yes—
183C2×C4×D43#4112yes—
184C2×C4×D43#4112yes—
185C2×C4×D43#4112yes—
186C2×C4×D43#4112yes—
187C2×Dic86—21no—
188C2×Dic86—21no—
189C2×Dic86—21no—
190C2×Dic86—21no—
191C2×Dic86—21no—
192C2×Dic86C22×C412yes—
193C2×C8×C43—21no—
194C2×C8×C43—21no—
195C2×C8×C43—21no—
196C2×C8×C43—21no—
197C2×C8×C43C22×C412yes—
198C2×C8×C43C2×D412yes—
199C4⋊C4×C43—21no—
200C4⋊C4×C43—21no—
201C4⋊C4×C43—21no—
202C4⋊C4×C43—21no—
203C4⋊C4×C43—21no—
204C4⋊C4×C43—42no—
205C4⋊C4×C43C22×C412yes—
206C22⋊C4×C43—42no—
207C22⋊C4×C43—42no—
208C42×C43—21no—
209C42×C43—21no—
210C22⋊Dic43—42no—
211C22⋊Dic43—42no—
212(C2×D43)⋊C4—42no—
213C4⋊Dic43—21no—
214C4⋊Dic43—21no—
215C4⋊Dic43—21no—
216C4⋊Dic43—21no—
217C4⋊Dic43—21no—
218C4⋊Dic43—42no—
219C4⋊Dic43C22×C412yes—
220Dic43⋊C4—24no—
221Dic43⋊C4—42no—
222Dic43⋊C4—42no—
223Dic43⋊C4—42no—
224C4×Dic43—21no—
225C4×Dic43—21no—
226C4×Dic43—22no—
227C4×Dic43—22no—
228C4×Dic43—42no—
229C2×C43⋊C8—21no—
230C2×C43⋊C8—21no—
231C2×C43⋊C8—21no—
232C2×C43⋊C8—21no—
233C2×C43⋊C8C22×C412yes—
234C2×C43⋊C8C2×D412yes—
235#10621872—28no—
236#10621872—28no—
237C23×C43—22no—
238C23×C43—41no—
239C23×C43—41no—
240C23×C43—41no—
241C23×C43—41no—
242C23×C43—41no—
243C23×C43—41no—
244C23×C43C22×D411yescharacteristic
245C22×D43—21no—
246C22×D43—21no—
247C22×D43—21no—
248C22×D43—21no—
249C22×D43C4×D412yes—
250C22×D43#12112yes—
251C22×D43#12412yes—
252D4×C43—22no—
253D4×C43—22no—
254D4×C43—41no—
255D4×C43—41no—
256C2×C4×C43—21no—
257C2×C4×C43—21no—
258C2×C4×C43—21no—
259C2×C4×C43—21no—
260C2×C4×C43—22no—
261C2×C4×C43—41no—
262C2×C4×C43—41no—
263C2×C4×C43—41no—
264C2×C4×C43—41no—
265C2×C4×C43—41no—
266C2×C4×C43—41no—
267C2×C4×C43—41no—
268C2×C4×C43—41no—
269C2×C4×C43AGL(1,ℤ/8)12yes—
270C2×C4×C43#13712yes—
271C2×C4×C43C23×C411yescharacteristic
272C2×C4×C43C22×D411yescharacteristic
273C2×C4×C43C2×#4111yescharacteristic
274C2×C4×C43C2×#4111yescharacteristic
275C2×C4×C43C2×#4111yescharacteristic
276C2×C4×C43C2×#4111yescharacteristic
277C22⋊D43—48no—
278C2×Dic43—22no—
279C2×Dic43—22no—
280C2×Dic43—21no—
281C2×Dic43—21no—
282C2×Dic43—21no—
283C2×Dic43—21no—
284C2×Dic43—21no—
285C2×Dic43—21no—
286C2×Dic43—41no—
287C2×Dic43—41no—
288C2×Dic43—41no—
289C2×Dic43—41no—
290C2×Dic43—48no—
291C2×Dic43—41no—
292C2×Dic43—41no—
293C2×Dic43—41no—
294C2×Dic43—41no—
295C2×Dic43—41no—
296C2×Dic43—41no—
297C2×Dic43C4×D412yes—
298C2×Dic43#12112yes—
299C2×Dic43#12412yes—
300C4×D43—44no—
301C4×D43—44no—
302C4×D43—48no—
303C4×D43—84no—
304C4×D43#11714yes—
305C4×D43C4×D414yes—
306C4×D43#12314yes—
307C4×D43#12614yes—
308Dic86—22no—
309Dic86—22no—
310Dic86—41no—
311Dic86—41no—
312C8×C43—22no—
313C8×C43—22no—
314C43⋊C8—22no—
315C43⋊C8—22no—
316#21093—431nomaximal, Sylow
317C22×C43—42no—
318C22×C43—42no—
319C22×C43—42no—
320C22×C43—81no—
321C22×C43—81no—
322C22×C43—81no—
323C22×C43—81no—
324C22×C43C2×C4×D411yescharacteristic
325C22×C43C2×#12111yescharacteristic
326C22×C43C2×#12411yescharacteristic
327C22×C43C2×AGL(1,ℤ/8)11yescharacteristic
328C22×C43C2×#13711yescharacteristic
329C22×C43#57511yescharacteristic
330C22×C43#57511yescharacteristic
331C2×D43—22no—
332C2×D43—22no—
333C2×D43—22no—
334C2×D43—22no—
335C2×D43—22no—
336C2×D43—22no—
337C2×D43#38814yes—
338C4×C43—22no—
339C4×C43—22no—
340C4×C43—42no—
341C4×C43—81no—
342C4×C43—81no—
343C4×C43C2×#11711yescharacteristic
344C4×C43C2×C4×D411yescharacteristic
345C4×C43C2×#12311yescharacteristic
346C4×C43C2×#12611yescharacteristic
347Dic43—42no—
348Dic43—41no—
349Dic43—41no—
350Dic43—42no—
351Dic43—81no—
352Dic43—81no—
353Dic43#38814yes—
354C2×#417—431no—
355C2×#417—431no—
356C2×C4×M16—431no—
357#2297—431no—
358C2×#389—431no—
359#1936—431no—
360#1936—431no—
361#1935—431no—
362#1935—431no—
363#1934—431no—
364#1934D4311yescharacteristic, complemented
365#1933—431no—
366#1933—431no—
367#1736—431no—
368#1736—431no—
369C2×C43—82no—
370C2×C43C2×#38811yescharacteristic
371C2×C43C4×AGL(1,ℤ/8)11yescharacteristic
372C2×C43C4×#13711yescharacteristic
373C2×C43#305511yescharacteristic
374C2×C43#305611yescharacteristic
375C2×C43#314111yescharacteristic
376C2×C43#314211yescharacteristic
377D43—24no—
378C22×#41—431no—
379C22×M16—431no—
380C22×M16—431no—
381C2×#117—431no—
382C22×C4⋊C4—431no—
383C22×C4⋊C4—431no—
384C22×C4⋊C4—861no—
385C22×C42—431no—
386#417—438no—
387#417—864no—
388C2×#103—431no—
389C2×#103—431no—
390C2×#103—431no—
391C2×#103—431no—
392C2×#102—431no—
393C2×#102—431no—
394C2×#102C2×D4311yescharacteristic
395C2×#102C2×D4311yescharacteristic
396C4×M16—864no—
397C2×#97—431no—
398C2×#97—431no—
399C2×C4×C8—431no—
400C2×C4×C8C2×D4311yescharacteristic
401#391—431no—
402#391—431no—
403#390—431no—
404#390C2×D4311yescharacteristic
405#389—431no—
406#389—431no—
407#389—431no—
408#389—861no—
409#389—861no—
410#389C2×D4311yescharacteristic
411#386—861no—
412#386—861no—
413C4×C22⋊C4—861no—
414C4×C22⋊C4—861no—
415C2×#95—861no—
416#340—431no—
417#340—431no—
418#340—431no—
419#340—431no—
420#340—431no—
421#340—431no—
422#340C2×D4311yescharacteristic
423#340C2×D4311yescharacteristic
424C43#2109311yescharacteristic, complemented, Sylow
425C2×#41—434no—
426C2×#41—862no—
427C2×#41—862no—
428C2×#41—862no—
429C2×#41—862no—
430C2×#41—862no—
431C22×Q8—431no—
432C22×D4—861no—
433C22×D4C22×D4311yescharacteristic
434C23×C4—431no—
435C23×C4—431no—
436C23×C4—431no—
437C23×C4—861no—
438C23×C4—861no—
439C23×C4—861no—
440C2×M16—434no—
441C2×M16—434no—
442C2×M16—862no—
443C2×M16—862no—
444C2×M16—862no—
445C2×M16—862no—
446C22×C8—431no—
447C22×C8—431no—
448C22×C8C22×D4311yescharacteristic
449C22×C8C22×D4311yescharacteristic
450#117—862no—
451#117—862no—
452C2×C4⋊C4—21no—
453C2×C4⋊C4—431no—
454C2×C4⋊C4—434no—
455C2×C4⋊C4—431no—
456C2×C4⋊C4—431no—
457C2×C4⋊C4—862no—
458C2×C4⋊C4—862no—
459C2×C4⋊C4—862no—
460C2×C4⋊C4—861no—
461C2×C4⋊C4—861no—
462C2×C4⋊C4—861no—
463C2×C4⋊C4—861no—
464C2×C4⋊C4—861no—
465C2×C4⋊C4—1724no—
466C2×C4⋊C4C22×D4311yescharacteristic
467C2×C4⋊C4C22×D4311yescharacteristic
468C2×C4⋊C4C22×D4311yescharacteristic
469C2×C22⋊C4—21no—
470C2×C22⋊C4—21no—
471C2×C22⋊C4—861no—
472C2×C22⋊C4—861no—
473C2×C22⋊C4—861no—
474C2×C42—431no—
475C2×C42—431no—
476C2×C42—431no—
477C2×C42—862no—
478C2×C42—862no—
479C2×C42—861no—
480C2×C42C22×D4311yescharacteristic
481#103—434no—
482#103—434no—
483#103—862no—
484#103—862no—
485#102—22no—
486#102—434no—
487#102—862no—
488#102C4×D4314yescomplemented
489#97—862no—
490#97—862no—
491C4×C8—22no—
492C4×C8—862no—
493#95—21no—
494#95—861no—
495#95—861no—
496#95—861no—
497#95—861no—
498#95—861no—
499#95—861no—
500#95—861no—
501C24—21no—
502C24—431no—
503#41—868no—
504#41—868no—
505#41—1724no—
506#41—1724no—
507C2×Q8—432no—
508C2×Q8—861no—
509C2×Q8—861no—
510C2×Q8—861no—
511C2×Q8—861no—
512C2×Q8—861no—
513C2×D4—21no—
514C2×D4—21no—
515C2×D4—21no—
516C2×D4—21no—
517C2×D4—21no—
518C2×D4—864no—
519C2×D4—1722no—
520C2×D4—1722no—
521C2×D4C2×C4×D4312yes—
522C22×C4—21no—
523C22×C4—21no—
524C22×C4—21no—
525C22×C4—431no—
526C22×C4—432no—
527C22×C4—432no—
528C22×C4—432no—
529C22×C4—432no—
530C22×C4—432no—
531C22×C4—432no—
532C22×C4—431no—
533C22×C4—431no—
534C22×C4—862no—
535C22×C4—862no—
536C22×C4—864no—
537C22×C4—864no—
538C22×C4—861no—
539C22×C4—861no—
540C22×C4—862no—
541C22×C4—862no—
542C22×C4—861no—
543C22×C4—861no—
544C22×C4—1721no—
545C22×C4—1721no—
546C22×C4—1722no—
547C22×C4—1722no—
548C22×C4—1722no—
549C22×C4—1722no—
550C22×C4—1722no—
551C22×C4—1722no—
552C22×C4—1722no—
553C22×C4D4×D4311yescharacteristic
554C22×C4D4×D4311yescharacteristic
555C22×C4C23×D4311yescharacteristic
556M16—868no—
557M16—868no—
558C2×C8—21no—
559C2×C8—21no—
560C2×C8—21no—
561C2×C8—21no—
562C2×C8—432no—
563C2×C8—432no—
564C2×C8—861no—
565C2×C8—861no—
566C2×C8—861no—
567C2×C8—861no—
568C2×C8C2×C4×D4312yes—
569C2×C8D4×D4312yes—
570C4⋊C4—21no—
571C4⋊C4—21no—
572C4⋊C4—21no—
573C4⋊C4—21no—
574C4⋊C4—21no—
575C4⋊C4—42no—
576C4⋊C4—432no—
577C4⋊C4—864no—
578C4⋊C4—861no—
579C4⋊C4—861no—
580C4⋊C4—861no—
581C4⋊C4—861no—
582C4⋊C4—861no—
583C4⋊C4—1722no—
584C4⋊C4—1722no—
585C4⋊C4—1722no—
586C4⋊C4—1722no—
587C4⋊C4C2×C4×D4312yes—
588C22⋊C4—42no—
589C22⋊C4—42no—
590C22⋊C4—1722no—
591C22⋊C4—1722no—
592C22⋊C4—1722no—
593C42—21no—
594C42—21no—
595C42—862no—
596C42—862no—
597C42—861no—
598C42—861no—
599C42—1722no—
600C23—22no—
601C23—41no—
602C23—41no—
603C23—41no—
604C23—41no—
605C23—41no—
606C23—41no—
607C23—432no—
608C23—432no—
609C23—432no—
610C23—861no—
611C23—861no—
612C23—861no—
613C23—861no—
614C23C2×D4×D4311yescharacteristic
615Q8—862no—
616Q8—862no—
617Q8—1721no—
618Q8—1721no—
619D4—22no—
620D4—22no—
621D4—41no—
622D4—41no—
623D4—1728no—
624C2×C4—21no—
625C2×C4—21no—
626C2×C4—21no—
627C2×C4—21no—
628C2×C4—22no—
629C2×C4—41no—
630C2×C4—41no—
631C2×C4—41no—
632C2×C4—41no—
633C2×C4—41no—
634C2×C4—41no—
635C2×C4—41no—
636C2×C4—41no—
637C2×C4—432no—
638C2×C4—432no—
639C2×C4—432no—
640C2×C4—434no—
641C2×C4—434no—
642C2×C4—434no—
643C2×C4—434no—
644C2×C4—862no—
645C2×C4—862no—
646C2×C4—861no—
647C2×C4—861no—
648C2×C4—861no—
649C2×C4—861no—
650C2×C4—861no—
651C2×C4—861no—
652C2×C4—3444no—
653C2×C4—1724no—
654C2×C4—1724no—
655C2×C4—1728no—
656C2×C4—1728no—
657C2×C4—1721no—
658C2×C4—1721no—
659C2×C4—1721no—
660C2×C4—1721no—
661C2×C4—1721no—
662C2×C4—1721no—
663C2×C4—1721no—
664C2×C4—1721no—
665C2×C4—1721no—
666C2×C4—1721no—
667C2×C4#1306334912yes—
668C2×C4#1306335412yes—
669C2×C4C22×C4×D4311yescharacteristic
670C2×C4C2×D4×D4311yescharacteristic
671C2×C4#41×D4311yescharacteristic
672C2×C4#41×D4311yescharacteristic
673C2×C4#41×D4311yescharacteristic
674C2×C4#41×D4311yescharacteristic
675C8—22no—
676C8—22no—
677C8—862no—
678C8—862no—
679C22—42no—
680C22—42no—
681C22—42no—
682C22—81no—
683C22—81no—
684C22—81no—
685C22—81no—
686C22—434no—
687C22—862no—
688C22—862no—
689C22—862no—
690C22—862no—
691C22—862no—
692C22—862no—
693C22C4×D4×D4311yescharacteristic
694C22#121×D4311yescharacteristic
695C22#124×D4311yescharacteristic
696C22C2×#1306334911yescharacteristic
697C22C2×#1306335411yescharacteristic
698C22#1458369611yescharacteristic
699C22#1458369611yescharacteristic
700C4—22no—
701C4—22no—
702C4—42no—
703C4—81no—
704C4—81no—
705C4—434no—
706C4—3441no—
707C4—3441no—
708C4—1721no—
709C4—1721no—
710C4—1722no—
711C4—1722no—
712C4#117×D4311yescharacteristic
713C4C4×D4×D4311yescharacteristic
714C4#123×D4311yescharacteristic
715C4#126×D4311yescharacteristic
716C2—82no—
717C2—864no—
718C2#388×D4311yescharacteristic
719C2C4×#1306334911yescharacteristic
720C2C4×#1306335411yescharacteristic
721C2#1914421111yescharacteristic
722C2#1914421811yescharacteristic
723C2#1914498511yescharacteristic
724C2#1914499211yescharacteristic
subgroupG/H
centerC23C2×D4×D43
commutatorC2×C4×C43C23×C4
FrattiniC22×C4C23×D43
FittingC43×#1934C2
socleC23×C43C22×D4
prime radicalC22×#10621900C22
cosocleC22×C4×C43C24
hypercenter#1934D43
hypocenterC43#21093
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C23 ◁ C2×C42 ◁ #1934

Complements

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

NH ≅ G/Ntype
3. C2×C4×#10621872C2semidirect
5. #389×D43C2semidirect
6. #19135294C2semidirect
7. #19135289C2semidirect
8. #19135286C2semidirect
9. #19135283C2semidirect
10. #19135281C2semidirect
11. #19135271C2semidirect
12. #19135270C2semidirect
13. #19134313C2semidirect
14. #19134313C2semidirect
15. C43×#1934C2semidirect
25. #14582897C4semidirect
109. #13063250C2×C4semidirect
111. #13063248C2×C4semidirect
113. #13063246C2×C4semidirect
135. #102×C43C2×C4semidirect
364. #1934D43semidirect
424. C43#21093semidirect
488. #102C4×D43semidirect

Maximal subgroups

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

subgroupindex
C2×#145828972
C2×C4×#106218722
#191370822
#389×D432
#191352942
#191352892
#191352862
#191352832
#191352812
#191352712
#191352702
#191343132
C43×#19342
#2109343