Finite Group Databasebeta

← #25119186

Subgroups — #25119186

Order 11008.

1066 conjugacy classes of subgroups.

The subgroup lattice has 706 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#14583128C211yesmaximal, characteristic
2C2×#14582986C211yesmaximal, characteristic, complemented
3#19137611C211yesmaximal, characteristic
4#19137600C211yesmaximal, characteristic, complemented
5#19135447C211yesmaximal, characteristic, complemented
6#19135321C211yesmaximal, characteristic, complemented
7#19135228C211yesmaximal, characteristic, complemented
8#19135221C211yesmaximal, characteristic, complemented
9#19134912C211yesmaximal, characteristic
10#19134902C211yesmaximal, characteristic, complemented
11#19134860C211yesmaximal, characteristic, complemented
12#19134853C211yesmaximal, characteristic, complemented
13#106×Dic43C211yesmaximal, characteristic, complemented
14C8×C22⋊Dic43C211yesmaximal, characteristic, complemented
15C22×#106×C43C211yesmaximal, characteristic, complemented
16C22×#10621873C2211yescharacteristic
17C2×#13063304C2211yescharacteristic
18C2×#13063299C2211yescharacteristic
19C2×#13063290C2211yescharacteristic
20C2×#13063287C2211yescharacteristic
21C2×C4×C22⋊D43—21no—
22#14583128C418yescomplemented
23#14582986—24no—
24C2×#13063257C2211yescharacteristic
25C2×#13063250C2211yescharacteristic
26C2×#13063248C2211yescharacteristic
27C2×#13063248C2211yescharacteristic
28C2×#13063247C2211yescharacteristic
29C2×#13063245C2211yescharacteristic
30C2×#13063245C2211yescharacteristic
31C2×C22⋊(C43⋊C8)C2211yescharacteristic
32C2×C8×Dic43C2211yescharacteristic
33C2×C8×Dic43C2211yescharacteristic
34#14582804C2211yescharacteristic
35#14582800C2211yescharacteristic
36#14582795C2211yescharacteristic
37#14582795C2211yescharacteristic
38#14582794—21no—
39#14582789—21no—
40#14582780—21no—
41#14582778—21no—
42#14582772—21no—
43#14582770—21no—
44C4⋊C4×Dic43C2211yescharacteristic
45C4⋊C4×Dic43C2211yescharacteristic
46C4×C22⋊Dic43—21no—
47C4×C22⋊Dic43C2211yescharacteristic
48#14582661C2211yescharacteristic
49#14582661C2211yescharacteristic
50#14582661C2211yescharacteristic
51#14582661C2211yescharacteristic
52#14582653C2211yescharacteristic
53#14582653C2211yescharacteristic
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×Dic86C2311yescharacteristic
63C22×D172C2311yescharacteristic
64C22×C22⋊D43—21no—
65C22×C4×D43—21no—
66C2×#10621873—22no—
67C2×#10621873—22no—
68C2×#10621873C2×C414yescomplemented
69C22×C43⋊C8C2311yescharacteristic
70C22×C43⋊C8C2311yescharacteristic
71#13063304—22no—
72#13063304C2×C414yescomplemented
73#13063299—22no—
74#13063299C2×C414yes—
75#13063290—22no—
76#13063290—41no—
77#13063287—22no—
78#13063287—41no—
79C4×C22⋊D43—44no—
80C2×C4⋊Dic43C2311yescharacteristic
81C2×C4⋊Dic43C2311yescharacteristic
82C2×Dic43⋊C4—21no—
83C2×Dic43⋊C4—21no—
84C2×Dic43⋊C4—21no—
85C2×Dic43⋊C4—21no—
86C2×C22⋊Dic43—21no—
87C2×C22⋊Dic43D411yescharacteristic
88C2×C22⋊Dic43D411yescharacteristic
89C2×(C2×D43)⋊C4—21no—
90C2×(C2×D43)⋊C4—21no—
91C2×(C2×D43)⋊C4—21no—
92C2×(C2×D43)⋊C4—21no—
93C2×C4×Dic43—21no—
94C2×C4×Dic43—21no—
95C2×C4×Dic43—21no—
96C2×C4×Dic43C2311yescharacteristic
97C2×C4×Dic43C2311yescharacteristic
98#13063257C2×C414yescomplemented
99#13063250C2×C414yescomplemented
100#13063248—22no—
101#13063248—41no—
102#13063247C2×C414yescomplemented
103#13063245—22no—
104#13063245—41no—
105C22⋊(C43⋊C8)—22no—
106C8×Dic43—22no—
107C8×Dic43—22no—
108C43⋊#95—21no—
109C43⋊#95—21no—
110C43⋊#95—21no—
111C43⋊#95—21no—
112C43⋊#95—21no—
113C43⋊#95—21no—
114C43⋊#95D411yescharacteristic
115C43⋊#95D411yescharacteristic
116C23×C4×C43—21no—
117C23×C4×C43—21no—
118C23×C4×C43C2311yescharacteristic
119C22×C8×C43—22no—
120C22×C8×C43—22no—
121C22×C8×C43C2×C414yescomplemented
122C22×C8×C43C2311yescharacteristic
123C22×C8×C43C2311yescharacteristic
124C2×C4⋊C4×C43—22no—
125C2×C4⋊C4×C43—22no—
126C2×C4⋊C4×C43—21no—
127C2×C4⋊C4×C43—21no—
128C2×C4⋊C4×C43—41no—
129C2×C4⋊C4×C43—41no—
130C2×C4⋊C4×C43C2311yescharacteristic
131C2×C4⋊C4×C43C2311yescharacteristic
132C2×C4⋊C4×C43C2311yescharacteristic
133C2×C4⋊C4×C43C2311yescharacteristic
134#106×C43—22no—
135#106×C43—22no—
136#106×C43—22no—
137#106×C43D414yescomplemented
138C24×C43C2×D411yescharacteristic
139C23×D43—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—21no—
147C22×C4×C43—21no—
148C22×C4×C43—42no—
149C22×C4×C43—42no—
150C22×C4×C43—42no—
151C22×C4×C43—42no—
152C22×C4×C43—81no—
153C22×C4×C43—81no—
154C22×C4×C43C22×C412yes—
155C22×C4×C43C2×D411yescharacteristic
156C22×C4×C43#4112yes—
157C22×C4×C43C2411yescharacteristic
158C2×C22⋊D43—24no—
159C2×C22⋊D43—42no—
160C2×C22⋊D43—42no—
161C22×Dic43—21no—
162C22×Dic43—21no—
163C22×Dic43—21no—
164C22×Dic43C2×D411yescharacteristic
165C22×Dic43C2×D411yescharacteristic
166C22×Dic43C2×D411yescharacteristic
167C22×Dic43C2×D411yescharacteristic
168C2×D172—21no—
169C2×D172—21no—
170C2×D172—21no—
171C2×D172—21no—
172C2×D172—21no—
173C2×D172C22×C412yes—
174C2×C4×D43—42no—
175C2×C4×D43—42no—
176C2×C4×D43—81no—
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—28no—
186C2×C8×C43C22×C412yes—
187C2×C8×C43C22×C412yes—
188C2×C8×C43C2×D412yes—
189C2×C8×C43#4112yes—
190C4⋊C4×C43—21no—
191C4⋊C4×C43—21no—
192C4⋊C4×C43—21no—
193C4⋊C4×C43—21no—
194C4⋊C4×C43—21no—
195C4⋊C4×C43—21no—
196C4⋊C4×C43—42no—
197C4⋊C4×C43—42no—
198C4⋊C4×C43C2×D412yes—
199C4⋊C4×C43C2×D412yes—
200C22⋊Dic43—24no—
201C22⋊Dic43—22no—
202C22⋊Dic43SD1614yescomplemented
203(C2×D43)⋊C4—24no—
204(C2×D43)⋊C4—42no—
205(C2×D43)⋊C4—42no—
206(C2×D43)⋊C4—81no—
207C4⋊Dic43—21no—
208C4⋊Dic43—21no—
209C4⋊Dic43C22×C412yes—
210C4⋊Dic43C22×C412yes—
211Dic43⋊C4—24no—
212Dic43⋊C4—42no—
213Dic43⋊C4—42no—
214Dic43⋊C4—81no—
215C4×Dic43—21no—
216C4×Dic43—21no—
217C4×Dic43—21no—
218C4×Dic43—21no—
219C4×Dic43—42no—
220C4×Dic43—42no—
221C4×Dic43—81no—
222C2×C43⋊C8—21no—
223C2×C43⋊C8—21no—
224C2×C43⋊C8—21no—
225C2×C43⋊C8—21no—
226C2×C43⋊C8—21no—
227C2×C43⋊C8—21no—
228#10621873—28no—
229C23×C43—21no—
230C23×C43—21no—
231C23×C43—21no—
232C23×C43—21no—
233C23×C43C4×D412yes—
234C23×C43C2×SD1612yes—
235C23×C43#13512yes—
236C23×C43C22×D411yescharacteristic
237C22×D43—22no—
238C22×D43—41no—
239C22×D43—41no—
240C22×D43—41no—
241C22×D43—41no—
242C22×D43—41no—
243C22×D43—41no—
244C2×C4×C43—21no—
245C2×C4×C43—21no—
246C2×C4×C43—22no—
247C2×C4×C43—22no—
248C2×C4×C43—22no—
249C2×C4×C43—22no—
250C2×C4×C43—22no—
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—41no—
261C2×C4×C43—41no—
262C2×C4×C43—84no—
263C2×C4×C43—84no—
264C2×C4×C43C4×D412yes—
265C2×C4×C43C23×C411yescharacteristic
266C2×C4×C43C22×D411yescharacteristic
267C2×C4×C43C2×#4111yescharacteristic
268C2×C4×C43C2×#4111yescharacteristic
269C2×C4×C43H(5,𝔽2)11yescharacteristic
270C2×C4×C432−1+411yescharacteristic
271C22⋊D43—48no—
272C2×Dic43—21no—
273C2×Dic43—21no—
274C2×Dic43—21no—
275C2×Dic43—21no—
276C2×Dic43—22no—
277C2×Dic43—22no—
278C2×Dic43—22no—
279C2×Dic43—21no—
280C2×Dic43—21no—
281C2×Dic43—21no—
282C2×Dic43—21no—
283C2×Dic43—21no—
284C2×Dic43—21no—
285C2×Dic43—41no—
286C2×Dic43—41no—
287C2×Dic43—41no—
288C2×Dic43—41no—
289C2×Dic43—41no—
290C2×Dic43—41no—
291C2×Dic43C2×SD1612yes—
292C2×Dic43C2×SD1612yes—
293D172—22no—
294D172—22no—
295D172—41no—
296D172—41no—
297C4×D43—84no—
298Dic86—22no—
299Dic86—22no—
300Dic86—41no—
301Dic86—41no—
302C8×C43—22no—
303C8×C43C4×D414yescomplemented
304C43⋊C8—41no—
305C43⋊C8—41no—
306#23022—431nomaximal, Sylow
307C22×C43—22no—
308C22×C43—22no—
309C22×C43—22no—
310C22×C43—22no—
311C22×C43—22no—
312C22×C43—22no—
313C22×C43C4×SD1614yescomplemented
314C22×C43C2×C4×D411yescharacteristic
315C22×C43D4211yescharacteristic
316C22×C43#54711yescharacteristic
317C22×C43C22×SD1611yescharacteristic
318C22×C43C2×#13511yescharacteristic
319C22×C43#57711yescharacteristic
320C22×C43#57711yescharacteristic
321C2×D43—42no—
322C2×D43—42no—
323C2×D43—42no—
324C2×D43—81no—
325C2×D43—81no—
326C2×D43—81no—
327C2×D43—81no—
328C4×C43—22no—
329C4×C43—42no—
330C4×C43—42no—
331C4×C43—81no—
332C4×C43—81no—
333C4×C43C2×C4×D411yescharacteristic
334C4×C43#52011yescharacteristic
335C4×C43#54811yescharacteristic
336C4×C43#55311yescharacteristic
337Dic43—22no—
338Dic43—22no—
339Dic43—41no—
340Dic43—42no—
341Dic43—42no—
342Dic43—42no—
343Dic43—41no—
344C2×#465—431no—
345C2×C4×SD16—431no—
346C22×#106D4311yescharacteristic, complemented
347#2361—431no—
348#2360—431no—
349#1968—431no—
350#1941—431no—
351#1927—431no—
352#1926—431no—
353#1874—431no—
354#1872—431no—
355#1865—431no—
356#1864—431no—
357C4×#106—431no—
358C8×C22⋊C4—431no—
359C2×C43—24no—
360C2×C43#236111yescharacteristic
361C2×C43C2×C4×SD1611yescharacteristic
362C2×C43#295211yescharacteristic
363C2×C43D4×SD1611yescharacteristic
364C2×C43#328211yescharacteristic
365C2×C43#333511yescharacteristic
366C2×C43#333711yescharacteristic
367D43—82no—
368C22×SD16—431no—
369C23×C8C2×D4311yescharacteristic
370C2×C22⋊Q8—431no—
371C2×#121—431no—
372C2×C4×Q8—431no—
373C2×C4×D4—431no—
374C2×C4×D4—861no—
375C22×C4⋊C4C2×D4311yescharacteristic
376C22×C4⋊C4C2×D4311yescharacteristic
377#465—438no—
378C4×SD16—864no—
379C2×#106—24no—
380C2×#106—431no—
381C2×#106C2×D4311yescharacteristic
382C2×#106C2×D4311yescharacteristic
383C2×#106C2×D4311yescharacteristic
384C2×#106C2×D4311yescharacteristic
385C2×#103—431no—
386C2×#103—431no—
387C2×#103—431no—
388C2×#102—431no—
389C2×#102—431no—
390C2×#102—431no—
391C2×C22⋊C8—431no—
392C2×C4×C8—431no—
393C2×C4×C8—431no—
394#391—431no—
395#390—431no—
396#389—431no—
397#389—431no—
398#389—861no—
399#388—861no—
400#387—861no—
401#386—861no—
402#385—861no—
403#385—861no—
404C4×C4⋊C4—431no—
405C4×C4⋊C4—431no—
406C4×C22⋊C4—431no—
407C4×C22⋊C4—861no—
408#340—431no—
409#340—431no—
410#340—431no—
411#340—431no—
412#336—431no—
413#336—431no—
414C43#2302211yescharacteristic, complemented, Sylow
415C22×Q8—431no—
416C22×D4—431no—
417C22×D4—861no—
418C23×C4—21no—
419C23×C4—21no—
420C23×C4—861no—
421C23×C4C22×D4311yescharacteristic
422C2×SD16—434no—
423C2×SD16—862no—
424C2×SD16—862no—
425C22×C8—22no—
426C22×C8—22no—
427C22×C8—431no—
428C22×C8—431no—
429C22×C8C4×D4314yescomplemented
430C22×C8C22×D4311yescharacteristic
431C22×C8C22×D4311yescharacteristic
432C22⋊Q8—434no—
433C22⋊Q8—862no—
434#121—434no—
435#121—862no—
436C4×Q8—862no—
437C4×Q8—1721no—
438C4×D4—862no—
439C4×D4—1721no—
440C4×D4—1724no—
441C2×C4⋊C4—22no—
442C2×C4⋊C4—22no—
443C2×C4⋊C4—21no—
444C2×C4⋊C4—21no—
445C2×C4⋊C4—41no—
446C2×C4⋊C4—41no—
447C2×C4⋊C4—431no—
448C2×C4⋊C4—431no—
449C2×C4⋊C4—861no—
450C2×C4⋊C4—861no—
451C2×C4⋊C4—861no—
452C2×C4⋊C4—861no—
453C2×C4⋊C4C22×D4311yescharacteristic
454C2×C4⋊C4C22×D4311yescharacteristic
455C2×C4⋊C4C22×D4311yescharacteristic
456C2×C4⋊C4C22×D4311yescharacteristic
457C2×C22⋊C4—431no—
458C2×C22⋊C4—431no—
459C2×C22⋊C4—861no—
460C2×C22⋊C4—861no—
461C2×C22⋊C4—861no—
462C2×C22⋊C4—861no—
463C2×C22⋊C4—861no—
464C2×C42—431no—
465C2×C42—431no—
466C2×C42—861no—
467C2×C42—861no—
468C2×C42—861no—
469#106—22no—
470#106—22no—
471#106—22no—
472#106—434no—
473#106C22⋊D4314yescomplemented
474#103—434no—
475#103—862no—
476#103—1721no—
477#102—434no—
478#102—862no—
479#102—1721no—
480C22⋊C8—862no—
481C4×C8—862no—
482C4×C8—862no—
483#95—431no—
484#95—431no—
485#95—861no—
486#95—861no—
487#95—861no—
488#95—861no—
489#95—861no—
490#95—861no—
491C24—861no—
492C24D4×D4311yescharacteristic
493C2×Q8—432no—
494C2×Q8—861no—
495C2×Q8—861no—
496C2×Q8—861no—
497C2×Q8—861no—
498C2×Q8—861no—
499C2×D4—432no—
500C2×D4—864no—
501C2×D4—861no—
502C2×D4—861no—
503C2×D4—861no—
504C2×D4—861no—
505C2×D4—861no—
506C2×D4—1722no—
507C2×D4—1722no—
508C22×C4—21no—
509C22×C4—21no—
510C22×C4—21no—
511C22×C4—21no—
512C22×C4—21no—
513C22×C4—21no—
514C22×C4—21no—
515C22×C4—21no—
516C22×C4—42no—
517C22×C4—42no—
518C22×C4—42no—
519C22×C4—42no—
520C22×C4—81no—
521C22×C4—81no—
522C22×C4—431no—
523C22×C4—431no—
524C22×C4—431no—
525C22×C4—431no—
526C22×C4—861no—
527C22×C4—861no—
528C22×C4—861no—
529C22×C4—3441no—
530C22×C4—1722no—
531C22×C4—1722no—
532C22×C4C2×C4×D4312yes—
533C22×C4D4×D4311yescharacteristic
534C22×C4#1062190212yes—
535C22×C4C23×D4311yescharacteristic
536SD16—868no—
537C2×C8—21no—
538C2×C8—21no—
539C2×C8—28no—
540C2×C8—861no—
541C2×C8—861no—
542C2×C8—861no—
543C2×C8—861no—
544C2×C8—861no—
545C2×C8—861no—
546C2×C8C2×C4×D4312yes—
547C2×C8C2×C4×D4312yes—
548C2×C8#1062189812yes—
549C2×C8C2×C22⋊D4312yes—
550C4⋊C4—21no—
551C4⋊C4—21no—
552C4⋊C4—21no—
553C4⋊C4—21no—
554C4⋊C4—21no—
555C4⋊C4—21no—
556C4⋊C4—42no—
557C4⋊C4—42no—
558C4⋊C4—432no—
559C4⋊C4—432no—
560C4⋊C4—864no—
561C4⋊C4—861no—
562C4⋊C4—861no—
563C4⋊C4—3441no—
564C4⋊C4—1722no—
565C4⋊C4—1722no—
566C4⋊C4C2×C22⋊D4312yes—
567C4⋊C4C2×C22⋊D4312yes—
568C22⋊C4—434no—
569C22⋊C4—864no—
570C22⋊C4—862no—
571C22⋊C4—864no—
572C22⋊C4—3441no—
573C22⋊C4—1722no—
574C22⋊C4—1722no—
575C42—861no—
576C42—861no—
577C42—861no—
578C42—861no—
579C42—3441no—
580C42—1722no—
581C42—1722no—
582C23—21no—
583C23—21no—
584C23—21no—
585C23—21no—
586C23—862no—
587C23—1721no—
588C23—1721no—
589C23—1721no—
590C23—1721no—
591C23—1721no—
592C23—1721no—
593C23#1306328712yes—
594C23SD16×D4312yes—
595C23#1306334612yes—
596C23C2×D4×D4311yescharacteristic
597Q8—862no—
598Q8—862no—
599Q8—1721no—
600Q8—1721no—
601D4—862no—
602D4—862no—
603D4—1728no—
604D4—1721no—
605D4—1721no—
606C2×C4—21no—
607C2×C4—21no—
608C2×C4—22no—
609C2×C4—22no—
610C2×C4—22no—
611C2×C4—22no—
612C2×C4—22no—
613C2×C4—22no—
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—41no—
623C2×C4—41no—
624C2×C4—84no—
625C2×C4—84no—
626C2×C4—432no—
627C2×C4—432no—
628C2×C4—861no—
629C2×C4—861no—
630C2×C4—861no—
631C2×C4—861no—
632C2×C4—862no—
633C2×C4—862no—
634C2×C4—862no—
635C2×C4—861no—
636C2×C4—861no—
637C2×C4—861no—
638C2×C4—861no—
639C2×C4—861no—
640C2×C4—861no—
641C2×C4—3444no—
642C2×C4—1721no—
643C2×C4—1721no—
644C2×C4—1721no—
645C2×C4—1721no—
646C2×C4—1721no—
647C2×C4—1721no—
648C2×C4#1306328712yes—
649C2×C4C22×C4×D4311yescharacteristic
650C2×C4C22×C22⋊D4311yescharacteristic
651C2×C4C2×#1062189811yescharacteristic
652C2×C4C2×#1062190211yescharacteristic
653C2×C4#1306337011yescharacteristic
654C2×C4#1306337311yescharacteristic
655C8—22no—
656C8—1721no—
657C8—1721no—
658C8C4×C22⋊D4314yescomplemented
659C22—22no—
660C22—22no—
661C22—22no—
662C22—22no—
663C22—22no—
664C22—22no—
665C22—3441no—
666C22—3441no—
667C22—3441no—
668C22—3441no—
669C22—1722no—
670C22—1722no—
671C22—1722no—
672C22#1458298614yescomplemented
673C22C2×#1306328711yescharacteristic
674C22D4×C22⋊D4311yescharacteristic
675C22#1458355011yescharacteristic
676C22C2×SD16×D4311yescharacteristic
677C22C2×#1306334611yescharacteristic
678C22#1458370511yescharacteristic
679C22#1458370511yescharacteristic
680C4—22no—
681C4—42no—
682C4—42no—
683C4—81no—
684C4—81no—
685C4—862no—
686C4—862no—
687C4—1722no—
688C4—1721no—
689C4—1722no—
690C4—1722no—
691C4—1721no—
692C4C2×C4×C22⋊D4311yescharacteristic
693C4#1458338011yescharacteristic
694C4#1458356011yescharacteristic
695C4#1458359711yescharacteristic
696C2—24no—
697C2—3442no—
698C2#1913761111yescharacteristic
699C2C2×#1458298611yescharacteristic
700C2#1914347811yescharacteristic
701C2SD16×C22⋊D4311yescharacteristic
702C2#1914630211yescharacteristic
703C2#1914694811yescharacteristic
704C2#1914697011yescharacteristic
subgroupG/H
centerC23C2×D4×D43
commutatorC2×C4×C43C23×C4
FrattiniC22×C4C23×D43
FittingC22×#106×C43C2
socleC23×C43C22×D4
prime radicalC2×#13063299C22
cosocleC22×C4×C43C24
hypercenterC22×#106D43
hypocenterC43#23022
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×#14582986C2semidirect
4. #19137600C2semidirect
5. #19135447C2semidirect
6. #19135321C2semidirect
7. #19135228C2semidirect
8. #19135221C2semidirect
10. #19134902C2semidirect
11. #19134860C2semidirect
12. #19134853C2semidirect
13. #106×Dic43C2semidirect
14. C8×C22⋊Dic43C2semidirect
15. C22×#106×C43C2semidirect
22. #14583128C4semidirect
68. C2×#10621873C2×C4semidirect
72. #13063304C2×C4semidirect
98. #13063257C2×C4semidirect
99. #13063250C2×C4semidirect
102. #13063247C2×C4semidirect
121. C22×C8×C43C2×C4semidirect
137. #106×C43D4semidirect
202. C22⋊Dic43SD16semidirect
303. C8×C43C4×D4semidirect
313. C22×C43C4×SD16semidirect
346. C22×#106D43semidirect
414. C43#23022semidirect
429. C22×C8C4×D43semidirect
473. #106C22⋊D43semidirect
658. C8C4×C22⋊D43semidirect
672. C22#14582986semidirect

Maximal subgroups

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

subgroupindex
C2×#145831282
C2×#145829862
#191376112
#191376002
#191354472
#191353212
#191352282
#191352212
#191349122
#191349022
#191348602
#191348532
#106×Dic432
C8×C22⋊Dic432
C22×#106×C432
#2302243