Finite Group Databasebeta

← #25114747

Subgroups — #25114747

Order 11008.

1042 conjugacy classes of subgroups.

The subgroup lattice has 686 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#14582970C211yesmaximal, characteristic
2C2×#14582938C211yesmaximal, characteristic, complemented
3#19137520C211yesmaximal, characteristic
4C4⋊C4×C22⋊D43C211yesmaximal, characteristic
5#19135364C211yesmaximal, characteristic, complemented
6#19135355C211yesmaximal, characteristic, complemented
7#19134793C211yesmaximal, characteristic, complemented
8#19134788C211yesmaximal, characteristic, complemented
9#19134786C211yesmaximal, characteristic, complemented
10#19134783C211yesmaximal, characteristic, complemented
11#19134760C211yesmaximal, characteristic, complemented
12#19134625C211yesmaximal, characteristic, complemented
13#19134624C211yesmaximal, characteristic, complemented
14#19134495C211yesmaximal, characteristic, complemented
15C22×#106×C43C211yesmaximal, characteristic, complemented
16C22×#10621872C2211yescharacteristic
17C2×C4×C22⋊D43—21no—
18C2×C4×C22⋊D43C2211yescharacteristic
19C2×#13063283C2211yescharacteristic
20C2×C4⋊C4×D43C2211yescharacteristic
21#14582970C418yescomplemented
22#14582938—24no—
23C2×#13063259C2211yescharacteristic
24C2×#13063259C2211yescharacteristic
25C2×#13063258C2211yescharacteristic
26C2×#13063258C2211yescharacteristic
27C2×#13063256C2211yescharacteristic
28C2×#13063256C2211yescharacteristic
29C2×Dic43⋊C8C2211yescharacteristic
30C2×C22⋊(C43⋊C8)C2211yescharacteristic
31C2×(C2×D43)⋊C8C2211yescharacteristic
32C2×#13063235C2211yescharacteristic
33#14582794—21no—
34#14582789—21no—
35#14582780—21no—
36#14582778—21no—
37#14582772—21no—
38#14582770—21no—
39#14582768C2211yescharacteristic
40#14582764C2211yescharacteristic
41#14582759C2211yescharacteristic
42#14582759C2211yescharacteristic
43#14582756C2211yescharacteristic
44#14582756C2211yescharacteristic
45C4⋊C4×Dic43C2211yescharacteristic
46C4⋊C4×Dic43C2211yescharacteristic
47C4×C22⋊Dic43—21no—
48#14582662C2211yescharacteristic
49#14582662C2211yescharacteristic
50#14582661C2211yescharacteristic
51#14582661C2211yescharacteristic
52#14582661C2211yescharacteristic
53#14582661C2211yescharacteristic
54C23×C8×C43C2211yescharacteristic
55C22×C4⋊C4×C43C2211yescharacteristic
56C22×C4⋊C4×C43C2211yescharacteristic
57C2×#106×C43—24no—
58C2×#106×C43C2211yescharacteristic
59C2×#106×C43C2211yescharacteristic
60C2×#106×C43C2211yescharacteristic
61C2×#106×C43C2211yescharacteristic
62C22×C22⋊D43D411yescharacteristic
63C22×C4×D43—21no—
64C22×C4×D43C2311yescharacteristic
65C2×#10621872—22no—
66C2×#10621872—22no—
67C2×#10621872C2×C414yescomplemented
68C22×C43⋊C8C2311yescharacteristic
69C22×C43⋊C8C2311yescharacteristic
70C4×C22⋊D43—44no—
71C4×C22⋊D43C2×C414yes—
72C4×C22⋊D43Q814yes—
73#13063283—22no—
74#13063283—41no—
75C2×C4⋊Dic43C2311yescharacteristic
76C2×C4⋊Dic43C2311yescharacteristic
77C2×C4⋊Dic43C2311yescharacteristic
78C2×C4⋊Dic43C2311yescharacteristic
79C2×Dic43⋊C4—21no—
80C2×Dic43⋊C4—21no—
81C2×Dic43⋊C4—21no—
82C2×Dic43⋊C4D411yescharacteristic
83C4⋊C4×D43—22no—
84C4⋊C4×D43—41no—
85C2×C22⋊Dic43—21no—
86C2×C22⋊Dic43—21no—
87C2×C22⋊Dic43D411yescharacteristic
88C2×(C2×D43)⋊C4—21no—
89C2×(C2×D43)⋊C4—21no—
90C2×(C2×D43)⋊C4—21no—
91C2×(C2×D43)⋊C4D411yescharacteristic
92C2×C4×Dic43—21no—
93C2×C4×Dic43—21no—
94C2×C4×Dic43—21no—
95C2×C4×Dic43C2311yescharacteristic
96#13063259—22no—
97#13063259—22no—
98#13063258—22no—
99#13063258—41no—
100#13063256—22no—
101#13063256—41no—
102Dic43⋊C8C2×C414yescomplemented
103C22⋊(C43⋊C8)C2×C414yescomplemented
104(C2×D43)⋊C8C2×C414yescomplemented
105#13063235C2×C414yescomplemented
106C43⋊#95—21no—
107C43⋊#95—21no—
108C43⋊#95—21no—
109C43⋊#95—21no—
110C43⋊#95—21no—
111C43⋊#95—21no—
112C43⋊#95—21no—
113C43⋊#95—21no—
114C23×C4×C43—21no—
115C23×C4×C43—21no—
116C23×C4×C43C2311yescharacteristic
117C22×C8×C43—22no—
118C22×C8×C43—22no—
119C22×C8×C43C2×C414yescomplemented
120C22×C8×C43C2311yescharacteristic
121C22×C8×C43C2311yescharacteristic
122C2×C4⋊C4×C43—22no—
123C2×C4⋊C4×C43—22no—
124C2×C4⋊C4×C43—21no—
125C2×C4⋊C4×C43—21no—
126C2×C4⋊C4×C43—41no—
127C2×C4⋊C4×C43—41no—
128C2×C4⋊C4×C43C2311yescharacteristic
129C2×C4⋊C4×C43C2311yescharacteristic
130C2×C4⋊C4×C43C2311yescharacteristic
131C2×C4⋊C4×C43C2311yescharacteristic
132#106×C43—22no—
133#106×C43—22no—
134#106×C43—22no—
135#106×C43D414yescomplemented
136C24×C43C2×D411yescharacteristic
137C23×D43C2×D411yescharacteristic
138C22×C4×C43—21no—
139C22×C4×C43—21no—
140C22×C4×C43—21no—
141C22×C4×C43—21no—
142C22×C4×C43—21no—
143C22×C4×C43—21no—
144C22×C4×C43—21no—
145C22×C4×C43—21no—
146C22×C4×C43—42no—
147C22×C4×C43—42no—
148C22×C4×C43—42no—
149C22×C4×C43—42no—
150C22×C4×C43—81no—
151C22×C4×C43—81no—
152C22×C4×C43C22×C412yes—
153C22×C4×C43C2×D411yescharacteristic
154C22×C4×C43C2×Q812yes—
155C22×C4×C43C2411yescharacteristic
156C2×C22⋊D43—22no—
157C2×C22⋊D43—22no—
158C2×C22⋊D43C4⋊C414yes—
159C22×Dic43—21no—
160C22×Dic43—21no—
161C22×Dic43—21no—
162C22×Dic43—21no—
163C22×Dic43C2×D411yescharacteristic
164C22×Dic43C2×D411yescharacteristic
165C22×Dic43C2×D411yescharacteristic
166C2×C4×D43—21no—
167C2×C4×D43—21no—
168C2×C4×D43—21no—
169C2×C4×D43—21no—
170C2×C4×D43—42no—
171C2×C4×D43—42no—
172C2×C4×D43—81no—
173C2×C4×D43C22×C412yes—
174C2×C4×D43C2×Q812yes—
175C2×C8×C43—21no—
176C2×C8×C43—21no—
177C2×C8×C43—28no—
178C2×C8×C43C22×C412yes—
179C2×C8×C43C22×C412yes—
180C2×C8×C43C2×D412yes—
181C2×C8×C43#4112yes—
182C4⋊C4×C43—21no—
183C4⋊C4×C43—21no—
184C4⋊C4×C43—21no—
185C4⋊C4×C43—21no—
186C4⋊C4×C43—21no—
187C4⋊C4×C43—21no—
188C4⋊C4×C43—42no—
189C4⋊C4×C43—42no—
190C4⋊C4×C43C2×D412yes—
191C4⋊C4×C43C2×D412yes—
192C22⋊Dic43—42no—
193C22⋊Dic43—42no—
194C22⋊Dic43C4⋊C414yes—
195(C2×D43)⋊C4—42no—
196(C2×D43)⋊C4—42no—
197(C2×D43)⋊C4—81no—
198(C2×D43)⋊C4C4⋊C414yes—
199C4⋊Dic43—21no—
200C4⋊Dic43—21no—
201C4⋊Dic43—21no—
202C4⋊Dic43—21no—
203C4⋊Dic43—21no—
204C4⋊Dic43—21no—
205C4⋊Dic43—21no—
206C4⋊Dic43—21no—
207Dic43⋊C4—42no—
208Dic43⋊C4—42no—
209Dic43⋊C4—81no—
210Dic43⋊C4C4⋊C414yes—
211C4×Dic43—42no—
212C4×Dic43—42no—
213C4×Dic43—81no—
214C4×Dic43C22×C412yes—
215C4×Dic43C2×Q812yes—
216C2×C43⋊C8—21no—
217C2×C43⋊C8—21no—
218C2×C43⋊C8—21no—
219C2×C43⋊C8—21no—
220C2×C43⋊C8C22×C412yes—
221C2×C43⋊C8C22×C412yes—
222#10621872—28no—
223C23×C43—21no—
224C23×C43—21no—
225C23×C43—21no—
226C23×C43—21no—
227C23×C43C2×C4⋊C412yes—
228C23×C43AGL(1,ℤ/8)12yes—
229C23×C43#13712yes—
230C23×C43C22×D411yescharacteristic
231C22×D43—21no—
232C22×D43—21no—
233C22×D43—21no—
234C22×D43—21no—
235C22×D43—21no—
236C22×D43—21no—
237C22×D43C2×C4⋊C412yes—
238C2×C4×C43—21no—
239C2×C4×C43—21no—
240C2×C4×C43—22no—
241C2×C4×C43—22no—
242C2×C4×C43—22no—
243C2×C4×C43—22no—
244C2×C4×C43—22no—
245C2×C4×C43—22no—
246C2×C4×C43—41no—
247C2×C4×C43—41no—
248C2×C4×C43—41no—
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—84no—
257C2×C4×C43—84no—
258C2×C4×C43C2×C4⋊C412yes—
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
265C22⋊D43—28no—
266C2×Dic43—21no—
267C2×Dic43—21no—
268C2×Dic43—21no—
269C2×Dic43—21no—
270C2×Dic43—21no—
271C2×Dic43—21no—
272C2×Dic43—41no—
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×Dic43C2×C4⋊C412yes—
285C2×Dic43C2×C4⋊C412yes—
286C2×Dic43C2×C4⋊C412yes—
287C4×D43—22no—
288C4×D43—22no—
289C4×D43—22no—
290C4×D43—22no—
291C4×D43—84no—
292C8×C43—22no—
293C8×C43C4×D414yescomplemented
294C43⋊C8—22no—
295C43⋊C8—22no—
296#22659—431nomaximal, Sylow
297C22×C43—22no—
298C22×C43—22no—
299C22×C43—22no—
300C22×C43—22no—
301C22×C43—22no—
302C22×C43—22no—
303C22×C43#42814yescomplemented
304C22×C43C22×C4⋊C411yescharacteristic
305C22×C43D4211yescharacteristic
306C22×C43#54711yescharacteristic
307C22×C43C2×AGL(1,ℤ/8)11yescharacteristic
308C22×C43C2×#13711yescharacteristic
309C22×C43#57711yescharacteristic
310C22×C43#57711yescharacteristic
311C2×D43—22no—
312C2×D43—22no—
313C2×D43—22no—
314C2×D43—41no—
315C2×D43—41no—
316C2×D43—41no—
317C2×D43—41no—
318C4×C43—22no—
319C4×C43—42no—
320C4×C43—42no—
321C4×C43—81no—
322C4×C43—81no—
323C4×C43C2×C4×D411yescharacteristic
324C4×C43#52011yescharacteristic
325C4×C43D4×Q811yescharacteristic
326C4×C43#55411yescharacteristic
327Dic43—22no—
328Dic43—22no—
329Dic43—22no—
330Dic43—81no—
331Dic43—81no—
332Dic43—81no—
333Dic43—81no—
334C2×#435—431no—
335C2×#428—431no—
336C22×#106D4311yescharacteristic, complemented
337#2352—431no—
338D4×C4⋊C4—431no—
339#1949—431no—
340#1948—431no—
341#1854—431no—
342#1853—431no—
343#1853—431no—
344#1852—431no—
345#1847—431no—
346#1809—431no—
347#1808—431no—
348#1776—431no—
349C2×C43—24no—
350C2×C43D4×C4⋊C411yescharacteristic
351C2×C43C2×#42811yescharacteristic
352C2×C43#291211yescharacteristic
353C2×C43#326511yescharacteristic
354C2×C43#326611yescharacteristic
355C2×C43#334411yescharacteristic
356C2×C43#334511yescharacteristic
357D43—42no—
358C22×M16—431no—
359C23×C8C2×D4311yescharacteristic
360C2×C4×D4—431no—
361C2×C4×D4—861no—
362C2×#117—431no—
363C22×C4⋊C4—431no—
364C22×C4⋊C4C2×D4311yescharacteristic
365C22×C4⋊C4C2×D4311yescharacteristic
366#435—438no—
367#428—864no—
368C2×#107—431no—
369C2×#107—431no—
370C2×#107—431no—
371C2×#107—431no—
372C2×#106—24no—
373C2×#106—431no—
374C2×#106—431no—
375C2×#106C2×D4311yescharacteristic
376C2×#106C2×D4311yescharacteristic
377C2×#106C2×D4311yescharacteristic
378C2×#106C2×D4311yescharacteristic
379C2×C4⋊C8—431no—
380C2×C22⋊C8—431no—
381C2×C22⋊C8—431no—
382C2×#97—431no—
383#389—861no—
384#388—861no—
385#387—861no—
386#386—861no—
387#385—861no—
388#385—861no—
389#384—431no—
390#382—431no—
391#380—431no—
392#380—431no—
393#380—431no—
394#380—431no—
395C4×C4⋊C4—431no—
396C4×C4⋊C4—431no—
397C4×C22⋊C4—861no—
398#340—431no—
399#340—431no—
400#340—431no—
401#340—431no—
402#340—431no—
403#340—431no—
404C43#2265911yescharacteristic, complemented, Sylow
405C22×D4—431no—
406C23×C4—21no—
407C23×C4—21no—
408C23×C4—431no—
409C23×C4—861no—
410C23×C4C22×D4311yescharacteristic
411C2×M16—434no—
412C2×M16—862no—
413C2×M16—862no—
414C22×C8—22no—
415C22×C8—22no—
416C22×C8—431no—
417C22×C8—431no—
418C22×C8C4×D4314yescomplemented
419C22×C8C22×D4311yescharacteristic
420C22×C8C22×D4311yescharacteristic
421C4×D4—434no—
422C4×D4—434no—
423C4×D4—1724no—
424#117—862no—
425#117—1721no—
426C2×C4⋊C4—22no—
427C2×C4⋊C4—22no—
428C2×C4⋊C4—21no—
429C2×C4⋊C4—21no—
430C2×C4⋊C4—41no—
431C2×C4⋊C4—41no—
432C2×C4⋊C4—431no—
433C2×C4⋊C4—431no—
434C2×C4⋊C4—431no—
435C2×C4⋊C4—431no—
436C2×C4⋊C4—431no—
437C2×C4⋊C4—862no—
438C2×C4⋊C4—861no—
439C2×C4⋊C4—861no—
440C2×C4⋊C4—861no—
441C2×C4⋊C4—1721no—
442C2×C4⋊C4C22×D4311yescharacteristic
443C2×C4⋊C4C22×D4311yescharacteristic
444C2×C4⋊C4C22×D4311yescharacteristic
445C2×C4⋊C4C22×D4311yescharacteristic
446C2×C22⋊C4—431no—
447C2×C22⋊C4—431no—
448C2×C22⋊C4—861no—
449C2×C22⋊C4—861no—
450C2×C22⋊C4—861no—
451C2×C22⋊C4—861no—
452C2×C22⋊C4—861no—
453C2×C42—431no—
454C2×C42—861no—
455C2×C42—861no—
456C2×C42—861no—
457#107—862no—
458#107—862no—
459#107—862no—
460#107—1721no—
461#106—22no—
462#106—22no—
463#106—22no—
464#106—862no—
465#106—1721no—
466#106C22⋊D4314yescomplemented
467C4⋊C8—434no—
468C22⋊C8—434no—
469C22⋊C8—434no—
470#97—434no—
471#95—861no—
472#95—861no—
473#95—861no—
474#95—861no—
475#95—861no—
476#95—861no—
477#95—861no—
478#95—861no—
479C24—431no—
480C24D4×D4311yescharacteristic
481C2×D4—434no—
482C2×D4—862no—
483C2×D4—862no—
484C22×C4—21no—
485C22×C4—21no—
486C22×C4—21no—
487C22×C4—21no—
488C22×C4—21no—
489C22×C4—21no—
490C22×C4—21no—
491C22×C4—21no—
492C22×C4—42no—
493C22×C4—42no—
494C22×C4—42no—
495C22×C4—42no—
496C22×C4—81no—
497C22×C4—81no—
498C22×C4—431no—
499C22×C4—431no—
500C22×C4—431no—
501C22×C4—432no—
502C22×C4—432no—
503C22×C4—861no—
504C22×C4—861no—
505C22×C4—861no—
506C22×C4—861no—
507C22×C4—861no—
508C22×C4—861no—
509C22×C4—861no—
510C22×C4—861no—
511C22×C4—3441no—
512C22×C4—1722no—
513C22×C4—1722no—
514C22×C4C2×C4×D4312yes—
515C22×C4D4×D4311yescharacteristic
516C22×C4Q8×D4312yes—
517C22×C4C23×D4311yescharacteristic
518M16—868no—
519C2×C8—21no—
520C2×C8—21no—
521C2×C8—28no—
522C2×C8—432no—
523C2×C8—432no—
524C2×C8—861no—
525C2×C8—861no—
526C2×C8—861no—
527C2×C8—861no—
528C2×C8C2×C4×D4312yes—
529C2×C8C2×C4×D4312yes—
530C2×C8#1062189812yes—
531C2×C8C2×C22⋊D4312yes—
532C4⋊C4—21no—
533C4⋊C4—21no—
534C4⋊C4—21no—
535C4⋊C4—21no—
536C4⋊C4—21no—
537C4⋊C4—21no—
538C4⋊C4—42no—
539C4⋊C4—42no—
540C4⋊C4—434no—
541C4⋊C4—861no—
542C4⋊C4—861no—
543C4⋊C4—861no—
544C4⋊C4—861no—
545C4⋊C4—861no—
546C4⋊C4—861no—
547C4⋊C4—861no—
548C4⋊C4—861no—
549C4⋊C4—3441no—
550C4⋊C4—1722no—
551C4⋊C4—1722no—
552C4⋊C4C2×C22⋊D4312yes—
553C4⋊C4C2×C22⋊D4312yes—
554C22⋊C4—434no—
555C22⋊C4—434no—
556C22⋊C4—3441no—
557C22⋊C4—1722no—
558C22⋊C4—1722no—
559C22⋊C4—1722no—
560C22⋊C4—1722no—
561C42—432no—
562C42—432no—
563C42—3441no—
564C42—1722no—
565C42—1722no—
566C23—21no—
567C23—21no—
568C23—21no—
569C23—21no—
570C23—432no—
571C23—861no—
572C23—861no—
573C23—861no—
574C23—861no—
575C23—861no—
576C23—861no—
577C23C4⋊C4×D4312yes—
578C23#1306335212yes—
579C23#1306335412yes—
580C23C2×D4×D4311yescharacteristic
581D4—868no—
582C2×C4—21no—
583C2×C4—21no—
584C2×C4—22no—
585C2×C4—22no—
586C2×C4—22no—
587C2×C4—22no—
588C2×C4—22no—
589C2×C4—22no—
590C2×C4—41no—
591C2×C4—41no—
592C2×C4—41no—
593C2×C4—41no—
594C2×C4—41no—
595C2×C4—41no—
596C2×C4—41no—
597C2×C4—41no—
598C2×C4—41no—
599C2×C4—41no—
600C2×C4—84no—
601C2×C4—84no—
602C2×C4—432no—
603C2×C4—432no—
604C2×C4—432no—
605C2×C4—861no—
606C2×C4—861no—
607C2×C4—861no—
608C2×C4—861no—
609C2×C4—861no—
610C2×C4—861no—
611C2×C4—862no—
612C2×C4—862no—
613C2×C4—862no—
614C2×C4—862no—
615C2×C4—3444no—
616C2×C4—1721no—
617C2×C4—1721no—
618C2×C4—1721no—
619C2×C4—1721no—
620C2×C4—1721no—
621C2×C4—1721no—
622C2×C4—1721no—
623C2×C4—1721no—
624C2×C4—1721no—
625C2×C4—1721no—
626C2×C4—1721no—
627C2×C4—1721no—
628C2×C4C4⋊C4×D4312yes—
629C2×C4C22×C4×D4311yescharacteristic
630C2×C4C22×C22⋊D4311yescharacteristic
631C2×C4C2×Q8×D4311yescharacteristic
632C2×C4C2×#1062189811yescharacteristic
633C2×C4#1306337011yescharacteristic
634C2×C4#1306337311yescharacteristic
635C8—22no—
636C8—862no—
637C8—862no—
638C8C4×C22⋊D4314yescomplemented
639C22—22no—
640C22—22no—
641C22—22no—
642C22—22no—
643C22—22no—
644C22—22no—
645C22—862no—
646C22—862no—
647C22—862no—
648C22—1721no—
649C22—1721no—
650C22—1721no—
651C22—1721no—
652C22#1458293814yescomplemented
653C22C2×C4⋊C4×D4311yescharacteristic
654C22D4×C22⋊D4311yescharacteristic
655C22#1458355011yescharacteristic
656C22C2×#1306335211yescharacteristic
657C22C2×#1306335411yescharacteristic
658C22#1458370511yescharacteristic
659C22#1458370511yescharacteristic
660C4—22no—
661C4—42no—
662C4—42no—
663C4—81no—
664C4—81no—
665C4—862no—
666C4—862no—
667C4—862no—
668C4—3441no—
669C4—3441no—
670C4—3441no—
671C4—3441no—
672C4C2×C4×C22⋊D4311yescharacteristic
673C4#1458338011yescharacteristic
674C4Q8×C22⋊D4311yescharacteristic
675C4#1458360411yescharacteristic
676C2—24no—
677C2—1722no—
678C2C4⋊C4×C22⋊D4311yescharacteristic
679C2C2×#1458293811yescharacteristic
680C2#1914318611yescharacteristic
681C2#1914609011yescharacteristic
682C2#1914610511yescharacteristic
683C2#1914704611yescharacteristic
684C2#1914706111yescharacteristic
subgroupG/H
centerC23C2×D4×D43
commutatorC2×C4×C43C23×C4
FrattiniC22×C4C23×D43
FittingC22×#106×C43C2
socleC23×C43C22×D4
prime radicalC22×C22⋊D43D4
cosocleC22×C4×C43C24
hypercenterC22×#106D43
hypocenterC43#22659
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C23 ◁ C23×C4 ◁ C22×#106

Complements

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

NH ≅ G/Ntype
2. C2×#14582938C2semidirect
5. #19135364C2semidirect
6. #19135355C2semidirect
7. #19134793C2semidirect
8. #19134788C2semidirect
9. #19134786C2semidirect
10. #19134783C2semidirect
11. #19134760C2semidirect
12. #19134625C2semidirect
13. #19134624C2semidirect
14. #19134495C2semidirect
15. C22×#106×C43C2semidirect
21. #14582970C4semidirect
67. C2×#10621872C2×C4semidirect
102. Dic43⋊C8C2×C4semidirect
103. C22⋊(C43⋊C8)C2×C4semidirect
104. (C2×D43)⋊C8C2×C4semidirect
105. #13063235C2×C4semidirect
119. C22×C8×C43C2×C4semidirect
135. #106×C43D4semidirect
293. C8×C43C4×D4semidirect
303. C22×C43#428semidirect
336. C22×#106D43semidirect
404. C43#22659semidirect
418. C22×C8C4×D43semidirect
466. #106C22⋊D43semidirect
638. C8C4×C22⋊D43semidirect
652. C22#14582938semidirect

Maximal subgroups

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

subgroupindex
C2×#145829702
C2×#145829382
#191375202
C4⋊C4×C22⋊D432
#191353642
#191353552
#191347932
#191347882
#191347862
#191347832
#191347602
#191346252
#191346242
#191344952
C22×#106×C432
#2265943