Finite Group Databasebeta

← #25112998

Subgroups — #25112998

Order 11008.

1130 conjugacy classes of subgroups.

The subgroup lattice has 712 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#14583588C211yesmaximal, characteristic
2C2×#14582974C211yesmaximal, characteristic
3#19137526C211yesmaximal, characteristic
4#19135558C211yesmaximal, characteristic, complemented
5#19135549C211yesmaximal, characteristic, complemented
6#19135027C211yesmaximal, characteristic, complemented
7#19135026C211yesmaximal, characteristic, complemented
8#19134906C211yesmaximal, characteristic, complemented
9#19134900C211yesmaximal, characteristic, complemented
10#19134684C211yesmaximal, characteristic, complemented
11#19134609C211yesmaximal, characteristic, complemented
12#19134414C211yesmaximal, characteristic, complemented
13#19134316C211yesmaximal, characteristic, complemented
14#19134313C211yesmaximal, characteristic, complemented
15C43×#1825C211yesmaximal, characteristic, complemented
16C22×#10621877C2211yescharacteristic
17C22×#10621872C2211yescharacteristic
18#14583588—24no—
19#14583588C418yescomplemented
20C2×#13063318—21no—
21C2×#13063317—21no—
22C2×#13063316C2211yescharacteristic
23C2×#13063307—21no—
24C2×#13063305C2211yescharacteristic
25C2×#13063304C2211yescharacteristic
26C2×#13063290C2211yescharacteristic
27C2×C4×C22⋊D43C2211yescharacteristic
28C2×#13063283C2211yescharacteristic
29C2×#13063282—21no—
30C22×C4⋊Dic43C2211yescharacteristic
31C2×C4⋊C4×D43C2211yescharacteristic
32#14582974—24no—
33C2×Dic43⋊C8C2211yescharacteristic
34C2×#13063250C2211yescharacteristic
35C2×#13063250C2211yescharacteristic
36C2×#13063248C2211yescharacteristic
37C2×#13063248C2211yescharacteristic
38C2×(C2×D43)⋊C8C2211yescharacteristic
39C2×C8×Dic43C2211yescharacteristic
40#14582791—21no—
41#14582786—21no—
42#14582776—21no—
43#14582764C2211yescharacteristic
44#14582756C2211yescharacteristic
45C4⋊C4×Dic43C2211yescharacteristic
46C22⋊C4×Dic43—21no—
47#14582662C2211yescharacteristic
48#14582662C2211yescharacteristic
49#14582661C2211yescharacteristic
50#14582661C2211yescharacteristic
51#14582661C2211yescharacteristic
52#14582661C2211yescharacteristic
53#14582661C2211yescharacteristic
54#14582661C2211yescharacteristic
55C2×#117×C43C2211yescharacteristic
56C2×C22⋊C8×C43C2211yescharacteristic
57C43×#380C2211yescharacteristic
58C43×#340C2211yescharacteristic
59C43×#340C2211yescharacteristic
60C43×#340C2211yescharacteristic
61C43×#340C2211yescharacteristic
62C22×Dic86C2311yescharacteristic
63C22×C22⋊D43D411yescharacteristic
64C23×Dic43—21no—
65C22×C4×D43—21no—
66C22×C4×D43C2311yescharacteristic
67C2×#10621877—22no—
68C2×#10621877—22no—
69C2×#10621877—41no—
70C2×#10621872—22no—
71C2×#10621872—22no—
72C2×#10621872—41no—
73C22×C43⋊C8C2311yescharacteristic
74C22×C43⋊C8C2311yescharacteristic
75#13063318—28no—
76#13063317—28no—
77#13063316—22no—
78#13063316C2×C414yescomplemented
79#13063307—28no—
80#13063305—22no—
81#13063305C2×C414yescomplemented
82#13063304—22no—
83#13063304C2×C414yes—
84#13063290—22no—
85#13063290C2×C414yescomplemented
86C4×C22⋊D43C2×C414yes—
87C4×C22⋊D43D414yes—
88#13063283—22no—
89#13063283—41no—
90#13063282—28no—
91C2×C4⋊Dic43—21no—
92C2×C4⋊Dic43—21no—
93C2×C4⋊Dic43—22no—
94C2×C4⋊Dic43—21no—
95C2×C4⋊Dic43—41no—
96C2×C4⋊Dic43C2311yescharacteristic
97C2×C4⋊Dic43C2311yescharacteristic
98C2×C4⋊Dic43C2311yescharacteristic
99C2×Dic43⋊C4—21no—
100C2×Dic43⋊C4—21no—
101C2×Dic43⋊C4—21no—
102C2×Dic43⋊C4—21no—
103C2×Dic43⋊C4D411yescharacteristic
104C4⋊C4×D43—22no—
105C4⋊C4×D43C2×C414yescomplemented
106C2×C22⋊Dic43—21no—
107C2×C22⋊Dic43D411yescharacteristic
108C2×(C2×D43)⋊C4—21no—
109C2×(C2×D43)⋊C4—21no—
110C2×(C2×D43)⋊C4—21no—
111C2×(C2×D43)⋊C4D411yescharacteristic
112C2×C4×Dic43—21no—
113C2×C4×Dic43—21no—
114C2×C4×Dic43—21no—
115C2×C4×Dic43C2311yescharacteristic
116Dic43⋊C8—22no—
117#13063250—22no—
118#13063250—41no—
119#13063248—22no—
120#13063248—41no—
121(C2×D43)⋊C8—22no—
122C8×Dic43—22no—
123C43⋊#95—21no—
124C43⋊#95—21no—
125C43⋊#95—21no—
126C43⋊#95—21no—
127C23×C4×C43C2311yescharacteristic
128C22×C8×C43C2311yescharacteristic
129C22×C8×C43C2311yescharacteristic
130#117×C43—22no—
131#117×C43C2×C414yes—
132C2×C4⋊C4×C43C2311yescharacteristic
133C2×C4⋊C4×C43C2311yescharacteristic
134C2×C4⋊C4×C43C2311yescharacteristic
135C2×C4⋊C4×C43C2311yescharacteristic
136C2×C22⋊C4×C43—21no—
137C2×C22⋊C4×C43—21no—
138C2×C42×C43—21no—
139C22⋊C8×C43—22no—
140#95×C43—21no—
141C24×C43C2×D411yescharacteristic
142C23×D43C2×D411yescharacteristic
143C22×C4×C43—21no—
144C22×C4×C43—21no—
145C22×C4×C43—21no—
146C22×C4×C43—21no—
147C22×C4×C43—21no—
148C22×C4×C43—21no—
149C22×C4×C43—21no—
150C22×C4×C43—21no—
151C22×C4×C43C22×C412yes—
152C22×C4×C43C2×D412yes—
153C22×C4×C43C2×D411yescharacteristic
154C22×C4×C43C2411yescharacteristic
155C2×C22⋊D43—41no—
156C2×C22⋊D43—41no—
157C2×C22⋊D43C22⋊C414yes—
158C22×Dic43—21no—
159C22×Dic43—21no—
160C22×Dic43—21no—
161C22×Dic43—21no—
162C22×Dic43—42no—
163C22×Dic43—42no—
164C22×Dic43—81no—
165C22×Dic43C2×D411yescharacteristic
166C22×Dic43C2×D411yescharacteristic
167C22×Dic43C2×D411yescharacteristic
168C2×C4×D43—21no—
169C2×C4×D43—21no—
170C2×C4×D43—21no—
171C2×C4×D43—21no—
172C2×C4×D43—24no—
173C2×C4×D43—42no—
174C2×C4×D43—42no—
175C2×C4×D43C22×C412yes—
176C2×C4×D43C2×D412yes—
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—
189C4⋊C4×C43—21no—
190C4⋊C4×C43—21no—
191C4⋊C4×C43—21no—
192C4⋊C4×C43—21no—
193C4⋊C4×C43—21no—
194C4⋊C4×C43—21no—
195C4⋊C4×C43C22×C412yes—
196C4⋊C4×C43C22×C412yes—
197C22⋊C4×C43—24no—
198C22⋊C4×C43—42no—
199C42×C43—24no—
200C22⋊Dic43—24no—
201C22⋊Dic43C22⋊C414yes—
202(C2×D43)⋊C4—24no—
203(C2×D43)⋊C4—42no—
204(C2×D43)⋊C4—81no—
205(C2×D43)⋊C4C22⋊C414yes—
206C4⋊Dic43—21no—
207C4⋊Dic43—21no—
208C4⋊Dic43—24no—
209C4⋊Dic43—24no—
210C4⋊Dic43—21no—
211C4⋊Dic43—21no—
212C4⋊Dic43—42no—
213C4⋊Dic43C22×C412yes—
214C4⋊Dic43#4112yes—
215Dic43⋊C4—24no—
216Dic43⋊C4—24no—
217Dic43⋊C4—24no—
218Dic43⋊C4—24no—
219Dic43⋊C4C22⋊C414yes—
220C4×Dic43—24no—
221C4×Dic43—42no—
222C4×Dic43—81no—
223C4×Dic43C22×C412yes—
224C4×Dic43C2×D412yes—
225#10621877—44no—
226C2×C43⋊C8—21no—
227C2×C43⋊C8—21no—
228C2×C43⋊C8—21no—
229C2×C43⋊C8—21no—
230C2×C43⋊C8—21no—
231C2×C43⋊C8#4112yes—
232#10621872—44no—
233C23×C43—21no—
234C23×C43—21no—
235C23×C43—21no—
236C23×C43—21no—
237C23×C43—21no—
238C23×C43—21no—
239C23×C43C2×C22⋊C412yes—
240C23×C43C22×D411yescharacteristic
241C22×D43—21no—
242C22×D43—21no—
243C22×D43—21no—
244C22×D43—21no—
245C22×D43—21no—
246C22×D43—21no—
247C22×D43C2×C22⋊C412yes—
248C2×C4×C43—21no—
249C2×C4×C43—21no—
250C2×C4×C43—22no—
251C2×C4×C43—22no—
252C2×C4×C43—22no—
253C2×C4×C43—22no—
254C2×C4×C43—22no—
255C2×C4×C43—22no—
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—41no—
263C2×C4×C43—41no—
264C2×C4×C43—41no—
265C2×C4×C43—41no—
266C2×C4×C43C2×C22⋊C412yes—
267C2×C4×C43C23×C411yescharacteristic
268C2×C4×C43C22×D411yescharacteristic
269C2×C4×C43C2×#4111yescharacteristic
270C2×C4×C43C2×#4111yescharacteristic
271C2×C4×C43H(5,𝔽2)11yescharacteristic
272C2×C4×C432−1+411yescharacteristic
273C22⋊D43—44no—
274C2×Dic43—21no—
275C2×Dic43—21no—
276C2×Dic43—21no—
277C2×Dic43—21no—
278C2×Dic43—21no—
279C2×Dic43—21no—
280C2×Dic43—22no—
281C2×Dic43—22no—
282C2×Dic43—22no—
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×Dic43—84no—
293C2×Dic43C2×C22⋊C412yes—
294C2×Dic43C2×C22⋊C412yes—
295C2×Dic43C2×C22⋊C412yes—
296C4×D43—22no—
297C4×D43—22no—
298C4×D43—22no—
299C4×D43—22no—
300C4×D43—48no—
301Dic86—22no—
302Dic86—22no—
303Dic86—41no—
304Dic86—41no—
305C8×C43—41no—
306C8×C43—41no—
307C43⋊C8—22no—
308C43⋊C8—41no—
309#22499—431nomaximal, Sylow
310C22×C43—22no—
311C22×C43—22no—
312C22×C43—22no—
313C22×C43—41no—
314C22×C43—41no—
315C22×C43—41no—
316C22×C43—41no—
317C22×C43C22×C22⋊C411yescharacteristic
318C22×C43#54611yescharacteristic
319C22×C43#54711yescharacteristic
320C22×C43#57511yescharacteristic
321C22×C43#57511yescharacteristic
322C22×C43#57711yescharacteristic
323C22×C43#57811yescharacteristic
324C2×D43—22no—
325C2×D43—22no—
326C2×D43—22no—
327C2×D43—41no—
328C2×D43—41no—
329C2×D43—41no—
330C2×D43—41no—
331C4×C43—22no—
332C4×C43—42no—
333C4×C43—42no—
334C4×C43—81no—
335C4×C43—81no—
336C4×C43C4×#4111yescharacteristic
337C4×C43#52011yescharacteristic
338C4×C43#54611yescharacteristic
339C4×C43#54711yescharacteristic
340Dic43—22no—
341Dic43—22no—
342Dic43—22no—
343Dic43—42no—
344Dic43—42no—
345Dic43—42no—
346Dic43—81no—
347C2×#552—431no—
348C2×#436—431no—
349#2352—431no—
350#1991—431no—
351#1989—431no—
352#1894—431no—
353#1894—431no—
354#1873—431no—
355#1872—431no—
356#1825D4311yescharacteristic, complemented
357#1824—431no—
358#1805—431no—
359C4×#103—431no—
360#1736—431no—
361#1736—431no—
362C2×C43—42no—
363C2×C43#233911yescharacteristic
364C2×C43#289611yescharacteristic
365C2×C43#289811yescharacteristic
366C2×C43#332311yescharacteristic
367C2×C43#332711yescharacteristic
368C2×C43#335111yescharacteristic
369C2×C43#335211yescharacteristic
370D43—42no—
371C22×M16—431no—
372C22×M16—431no—
373#552—438no—
374#552—864no—
375C2×#126—861no—
376C2×#125—431no—
377C2×#125—861no—
378C2×#123—861no—
379C2×C22⋊Q8—431no—
380C2×C22⋊Q8—431no—
381C2×C4×Q8—431no—
382C2×C4×D4—431no—
383C2×#117—431no—
384C2×#117—861no—
385C2×#117C2×D4311yescharacteristic
386C22×C4⋊C4—431no—
387C22×C4⋊C4—431no—
388#436—864no—
389C2×C4⋊C8—431no—
390C2×#103—431no—
391C2×#103—431no—
392C2×#103—431no—
393C2×#103—431no—
394C2×C22⋊C8—431no—
395C2×C22⋊C8C2×D4311yescharacteristic
396C2×C4×C8—431no—
397#388—861no—
398#387—861no—
399#386—861no—
400#382—431no—
401#380—431no—
402#380C2×D4311yescharacteristic
403C4×C4⋊C4—431no—
404C4×C22⋊C4—861no—
405#340—431no—
406#340—431no—
407#340—431no—
408#340—431no—
409#340—431no—
410#340—431no—
411#340—431no—
412#340—431no—
413#340C2×D4311yescharacteristic
414#340C2×D4311yescharacteristic
415#340C2×D4311yescharacteristic
416#340C2×D4311yescharacteristic
417C43#2249911yescharacteristic, complemented, Sylow
418C22×Q8—431no—
419C22×D4—431no—
420C23×C4—431no—
421C23×C4—861no—
422C23×C4—861no—
423C23×C4C22×D4311yescharacteristic
424C2×M16—862no—
425C2×M16—862no—
426C2×M16—862no—
427C2×M16—862no—
428C2×M16—1721no—
429C2×M16—1721no—
430C22×C8—431no—
431C22×C8—431no—
432C22×C8C22×D4311yescharacteristic
433C22×C8C22×D4311yescharacteristic
434#126—868no—
435#125—434no—
436#125—868no—
437#125—862no—
438#123—868no—
439C22⋊Q8—434no—
440C22⋊Q8—434no—
441C22⋊Q8—862no—
442C22⋊Q8—862no—
443C4×Q8—434no—
444C4×Q8—862no—
445C4×D4—434no—
446C4×D4—434no—
447#117—22no—
448#117—868no—
449#117—862no—
450#117—1721no—
451#117C4×D4314yes—
452C2×C4⋊C4—431no—
453C2×C4⋊C4—431no—
454C2×C4⋊C4—431no—
455C2×C4⋊C4—434no—
456C2×C4⋊C4—431no—
457C2×C4⋊C4—862no—
458C2×C4⋊C4—862no—
459C2×C4⋊C4—861no—
460C2×C4⋊C4—861no—
461C2×C4⋊C4—861no—
462C2×C4⋊C4—861no—
463C2×C4⋊C4—861no—
464C2×C4⋊C4—861no—
465C2×C4⋊C4—861no—
466C2×C4⋊C4—1721no—
467C2×C4⋊C4C22×D4311yescharacteristic
468C2×C4⋊C4C22×D4311yescharacteristic
469C2×C4⋊C4C22×D4311yescharacteristic
470C2×C4⋊C4C22×D4311yescharacteristic
471C2×C22⋊C4—21no—
472C2×C22⋊C4—21no—
473C2×C22⋊C4—431no—
474C2×C22⋊C4—431no—
475C2×C22⋊C4—861no—
476C2×C22⋊C4—861no—
477C2×C22⋊C4—861no—
478C2×C22⋊C4—861no—
479C2×C42—21no—
480C2×C42—431no—
481C2×C42—861no—
482C2×C42—861no—
483C2×C42—861no—
484C4⋊C8—862no—
485#103—862no—
486#103—862no—
487#103—1721no—
488#103—1721no—
489C22⋊C8—22no—
490C22⋊C8—862no—
491C4×C8—862no—
492#95—21no—
493#95—861no—
494#95—861no—
495#95—861no—
496#95—861no—
497C24—431no—
498C24D4×D4311yescharacteristic
499C2×Q8—432no—
500C2×Q8—861no—
501C2×Q8—861no—
502C2×Q8—861no—
503C2×Q8—861no—
504C2×Q8—861no—
505C2×D4—434no—
506C2×D4—1721no—
507C2×D4—1721no—
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—431no—
517C22×C4—431no—
518C22×C4—431no—
519C22×C4—432no—
520C22×C4—432no—
521C22×C4—864no—
522C22×C4—861no—
523C22×C4—861no—
524C22×C4—861no—
525C22×C4—861no—
526C22×C4—861no—
527C22×C4—861no—
528C22×C4—861no—
529C22×C4—861no—
530C22×C4—3441no—
531C22×C4—1722no—
532C22×C4—1722no—
533C22×C4—1722no—
534C22×C4—1722no—
535C22×C4C2×C4×D4312yes—
536C22×C4D4×D4311yescharacteristic
537C22×C4D4×D4312yes—
538C22×C4C23×D4311yescharacteristic
539M16—1724no—
540M16—1724no—
541C2×C8—21no—
542C2×C8—21no—
543C2×C8—21no—
544C2×C8—21no—
545C2×C8—21no—
546C2×C8—21no—
547C2×C8—432no—
548C2×C8—861no—
549C2×C8—861no—
550C2×C8—861no—
551C2×C8—861no—
552C2×C8—861no—
553C4⋊C4—21no—
554C4⋊C4—21no—
555C4⋊C4—21no—
556C4⋊C4—21no—
557C4⋊C4—21no—
558C4⋊C4—21no—
559C4⋊C4—434no—
560C4⋊C4—432no—
561C4⋊C4—432no—
562C4⋊C4—864no—
563C4⋊C4—864no—
564C4⋊C4—864no—
565C4⋊C4—864no—
566C4⋊C4—864no—
567C4⋊C4—864no—
568C4⋊C4—861no—
569C4⋊C4—861no—
570C4⋊C4—861no—
571C4⋊C4—861no—
572C4⋊C4—1722no—
573C4⋊C4C2×C4×D4312yes—
574C4⋊C4C2×C4×D4312yes—
575C22⋊C4—24no—
576C22⋊C4—42no—
577C22⋊C4—434no—
578C22⋊C4—434no—
579C22⋊C4—864no—
580C22⋊C4—864no—
581C22⋊C4—3441no—
582C22⋊C4—1722no—
583C42—24no—
584C42—432no—
585C42—432no—
586C42—864no—
587C42—3441no—
588C42—1722no—
589C23—21no—
590C23—21no—
591C23—21no—
592C23—21no—
593C23—21no—
594C23—21no—
595C23—432no—
596C23—861no—
597C23—861no—
598C23—861no—
599C23—861no—
600C23—861no—
601C23—861no—
602C23C22⋊C4×D4312yes—
603C23C2×D4×D4311yescharacteristic
604Q8—862no—
605Q8—862no—
606Q8—1721no—
607Q8—1721no—
608D4—1724no—
609C2×C4—21no—
610C2×C4—21no—
611C2×C4—22no—
612C2×C4—22no—
613C2×C4—22no—
614C2×C4—22no—
615C2×C4—22no—
616C2×C4—22no—
617C2×C4—41no—
618C2×C4—41no—
619C2×C4—41no—
620C2×C4—41no—
621C2×C4—41no—
622C2×C4—41no—
623C2×C4—41no—
624C2×C4—41no—
625C2×C4—41no—
626C2×C4—41no—
627C2×C4—432no—
628C2×C4—432no—
629C2×C4—432no—
630C2×C4—861no—
631C2×C4—861no—
632C2×C4—861no—
633C2×C4—861no—
634C2×C4—861no—
635C2×C4—861no—
636C2×C4—862no—
637C2×C4—862no—
638C2×C4—862no—
639C2×C4—862no—
640C2×C4—862no—
641C2×C4—862no—
642C2×C4—862no—
643C2×C4—3444no—
644C2×C4—1728no—
645C2×C4—1721no—
646C2×C4—1721no—
647C2×C4—1721no—
648C2×C4—1721no—
649C2×C4—1721no—
650C2×C4—1721no—
651C2×C4—1721no—
652C2×C4—1721no—
653C2×C4—1721no—
654C2×C4C22⋊C4×D4312yes—
655C2×C4C22×C4×D4311yescharacteristic
656C2×C4C2×D4×D4311yescharacteristic
657C2×C4#41×D4311yescharacteristic
658C2×C4#41×D4311yescharacteristic
659C2×C4#1306337111yescharacteristic
660C2×C4#1306337211yescharacteristic
661C8—41no—
662C8—41no—
663C8—862no—
664C8—1721no—
665C22—22no—
666C22—22no—
667C22—22no—
668C22—41no—
669C22—41no—
670C22—41no—
671C22—41no—
672C22—862no—
673C22—862no—
674C22—862no—
675C22—1721no—
676C22—1721no—
677C22—1721no—
678C22—1721no—
679C22C2×C22⋊C4×D4311yescharacteristic
680C22#1458354111yescharacteristic
681C22#1458354711yescharacteristic
682C22#1458369511yescharacteristic
683C22#1458369811yescharacteristic
684C22#1458370611yescharacteristic
685C22#1458371311yescharacteristic
686C4—22no—
687C4—42no—
688C4—42no—
689C4—81no—
690C4—81no—
691C4—862no—
692C4—862no—
693C4—862no—
694C4—3441no—
695C4—1722no—
696C4—1722no—
697C4—1722no—
698C4#1458336711yescharacteristic
699C4#1458337911yescharacteristic
700C4#1458354111yescharacteristic
701C4#1458354711yescharacteristic
702C2—42no—
703C2—1722no—
704C2#1913741911yescharacteristic
705C2#1914311111yescharacteristic
706C2#1914312411yescharacteristic
707C2#1914680911yescharacteristic
708C2#1914686111yescharacteristic
709C2#1914714811yescharacteristic
710C2#1914716311yescharacteristic
subgroupG/H
centerC23C2×D4×D43
commutatorC2×C4×C43C23×C4
FrattiniC22×C4C23×D43
FittingC43×#1825C2
socleC23×C43C22×D4
prime radicalC22×C22⋊D43D4
cosocleC22×C4×C43C24
hypercenter#1825D43
hypocenterC43#22499
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C23 ◁ C23×C4 ◁ #1825

Complements

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

NH ≅ G/Ntype
4. #19135558C2semidirect
5. #19135549C2semidirect
6. #19135027C2semidirect
7. #19135026C2semidirect
8. #19134906C2semidirect
9. #19134900C2semidirect
10. #19134684C2semidirect
11. #19134609C2semidirect
12. #19134414C2semidirect
13. #19134316C2semidirect
14. #19134313C2semidirect
15. C43×#1825C2semidirect
19. #14583588C4semidirect
78. #13063316C2×C4semidirect
81. #13063305C2×C4semidirect
85. #13063290C2×C4semidirect
105. C4⋊C4×D43C2×C4semidirect
356. #1825D43semidirect
417. C43#22499semidirect

Maximal subgroups

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

subgroupindex
C2×#145835882
C2×#145829742
#191375262
#191355582
#191355492
#191350272
#191350262
#191349062
#191349002
#191346842
#191346092
#191344142
#191343162
#191343132
C43×#18252
#2249943