Finite Group Databasebeta

← #2629×D83 #35571465

Subgroups — #2629×D83 #35571465

Order 21248.

2614 conjugacy classes of subgroups.

The subgroup lattice has 694 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#125×D83C211yesmaximal, characteristic, complemented
2C2×#117×D83C211yesmaximal, characteristic
3#24913298C212yesmaximal, complemented
4#24913297C212yesmaximal, complemented
5#24913296C211yesmaximal, characteristic, complemented
6#24913295C214yesmaximal, complemented
7#24913294C211yesmaximal, characteristic, complemented
8#24913293C211yesmaximal, characteristic, complemented
9#24913292C214yesmaximal, complemented
10#398×D83C214yesmaximal, complemented
11#396×D83C214yesmaximal
12#389×D83C212yesmaximal, complemented
13#384×D83C211yesmaximal, characteristic, complemented
14#380×D83C212yesmaximal
15C83×#2629C211yesmaximal, characteristic, complemented
16C23×C4×D83C2211yescharacteristic
17C2×#14581784C2211yescharacteristic, complemented
18C2×#14581783C2212yescomplemented
19C2×#14581782C2214yescomplemented
20#125×D83—28no—
21C2×#14581751C2211yescharacteristic
22C2×#14581750C2212yes—
23C2×#14581749C2211yescharacteristic
24C2×#14581749C2211yescharacteristic
25C2×#14581748C2212yes—
26#117×D83—28no—
27C2×C4⋊C4×D83C2212yes—
28C2×C4⋊C4×D83C2212yes—
29C2×C4⋊C4×D83C2212yes—
30C2×C4⋊C4×D83C2214yes—
31C2×C4⋊C4×D83C2214yes—
32C2×C4⋊C4×D83C2214yes—
33C2×C22⋊C4×D83C2212yes—
34C2×C22⋊C4×D83C2214yes—
35C2×C42×D83C2211yescharacteristic
36C2×C42×D83C2211yescharacteristic
37#19127635C2214yescomplemented
38#19127635C2214yescomplemented
39#19127634C2214yescomplemented
40#19127634C2214yescomplemented
41#19127633C2214yescomplemented
42#19127632C2214yescomplemented
43#19127631C2214yescomplemented
44#19127625C2214yes—
45#19127624C2214yes—
46#19127624C2214yes—
47#19127624C2214yes—
48#19127623C2214yes—
49#19127623C2214yes—
50#19127623C2214yes—
51#19127600C2212yescomplemented
52#19127599C2212yescomplemented
53#19127598C2214yescomplemented
54#19127597C2212yescomplemented
55#19127596C2214yescomplemented
56#19127571C2211yescharacteristic, complemented
57#19127570C2214yescomplemented
58#19127570C2212yescomplemented
59#19127561C2212yes—
60#19127560C2214yes—
61#19127559C2214yes—
62#19127558C2212yes—
63#19127558C2212yes—
64#95×D83C2214yes—
65#95×D83C2214yes—
66C2×#125×C83C2211yescharacteristic, complemented
67C2×#117×C83C2211yescharacteristic
68#398×C83C2214yescomplemented
69#396×C83C2214yes—
70#389×C83C2212yescomplemented
71#384×C83C2211yescharacteristic, complemented
72#380×C83C2212yes—
73C24×D83C2311yescharacteristic
74C23×Dic83C2311yescharacteristic
75C22×C4×D83—24no—
76C22×C4×D83—24no—
77C22×C4×D83Q818yes—
78C22×C4×D83C2312yes—
79C22×C4×D83C2314yes—
80C22×C4×D83C2314yes—
81C22×C4×D83C2312yes—
82C22×C4×D83C2311yescharacteristic
83C22×C4×D83C2311yescharacteristic
84C22×C4×D83C2311yescharacteristic
85C22×C4×D83C2311yescharacteristic
86#14581784—24no—
87#14581783—28no—
88#14581782—216no—
89#14581751—24no—
90#14581750—28no—
91#14581749—24no—
92#14581749—24no—
93#14581748—28no—
94C2×C4⋊Dic83C2312yes—
95C2×C4⋊Dic83C2312yes—
96C2×C4⋊Dic83C2314yes—
97C2×C4⋊Dic83C2312yes—
98C2×C4⋊Dic83C2314yes—
99C2×C4⋊Dic83C2314yes—
100C2×Dic83⋊C4C2314yes—
101C2×Dic83⋊C4C2314yes—
102C2×Dic83⋊C4C2314yes—
103C2×Dic83⋊C4C2314yes—
104C2×Dic83⋊C4C2312yes—
105C2×Dic83⋊C4C2312yes—
106C2×Dic83⋊C4C2314yes—
107C2×Dic83⋊C4C2314yes—
108C2×Dic83⋊C4C2314yes—
109C2×Dic83⋊C4C2314yes—
110C4⋊C4×D83—28no—
111C4⋊C4×D83—216no—
112C4⋊C4×D83—28no—
113C4⋊C4×D83—28no—
114C4⋊C4×D83—48no—
115C4⋊C4×D83—48no—
116C2×C22⋊Dic83C2312yes—
117C2×C22⋊Dic83C2314yes—
118C2×(C2×D83)⋊C4C2312yes—
119C2×(C2×D83)⋊C4C2312yes—
120C2×(C2×D83)⋊C4C2314yes—
121C2×(C2×D83)⋊C4C2314yes—
122C22⋊C4×D83—28no—
123C22⋊C4×D83—48no—
124C2×C4×Dic83C2312yes—
125C2×C4×Dic83C2311yescharacteristic
126C2×C4×Dic83C2312yes—
127C2×C4×Dic83C2311yescharacteristic
128C42×D83—24no—
129C42×D83D418yes—
130C83⋊#95C2314yes—
131C83⋊#95C2314yes—
132C83⋊#95C2314yes—
133C83⋊#95C2314yes—
134C83⋊#95C2314yes—
135C83⋊#95C2314yes—
136C23×C4×C83C2311yescharacteristic
137#125×C83—24no—
138#117×C83—24no—
139C2×C4⋊C4×C83C2312yes—
140C2×C4⋊C4×C83C2312yes—
141C2×C4⋊C4×C83C2312yes—
142C2×C4⋊C4×C83C2314yes—
143C2×C4⋊C4×C83C2314yes—
144C2×C4⋊C4×C83C2314yes—
145C2×C22⋊C4×C83C2312yes—
146C2×C22⋊C4×C83C2314yes—
147C2×C42×C83C2311yescharacteristic
148C2×C42×C83C2311yescharacteristic
149#95×C83C2314yes—
150#95×C83C2314yes—
151C23×D83—22no—
152C23×D83—22no—
153C23×D83—24no—
154C23×D83—24no—
155C23×D83C2×Q814yes—
156C23×D83C2411yescharacteristic
157C23×D83C2411yescharacteristic
158C22×Dic83—22no—
159C22×Dic83—22no—
160C22×Dic83C2×Q814yes—
161C22×Dic83C2412yes—
162C22×Dic83C2414yes—
163C22×Dic83C2414yes—
164C22×Dic83C2412yes—
165C22×Dic83C2411yescharacteristic
166C22×Dic83C2411yescharacteristic
167C2×C4×D83—22no—
168C2×C4×D83—22no—
169C2×C4×D83—24no—
170C2×C4×D83—24no—
171C2×C4×D83—22no—
172C2×C4×D83—22no—
173C2×C4×D83—22no—
174C2×C4×D83—22no—
175C2×C4×D83—232no—
176C2×C4×D83—24no—
177C2×C4×D83—28no—
178C2×C4×D83—28no—
179C2×C4×D83—28no—
180C2×C4×D83—28no—
181C2×C4×D83—24no—
182C2×C4×D83—28no—
183C2×C4×D83—24no—
184C2×C4×D83—28no—
185C2×C4×D83C2×D418yes—
186C2×C4×D83C2×D414yes—
187C2×C4×D83C2×Q814yes—
188C2×C4×D83C2×Q814yes—
189C2×C4×D83C2×Q814yes—
190C2×C4×D83C2×Q814yes—
191C2×C4×D83#4114yes—
192C4⋊Dic83—24no—
193C4⋊Dic83—24no—
194C4⋊Dic83—28no—
195C4⋊Dic83—24no—
196C4⋊Dic83—44no—
197C4⋊Dic83—44no—
198Dic83⋊C4—28no—
199Dic83⋊C4—24no—
200Dic83⋊C4—28no—
201Dic83⋊C4—28no—
202Dic83⋊C4—24no—
203Dic83⋊C4—28no—
204Dic83⋊C4—44no—
205Dic83⋊C4—44no—
206Dic83⋊C4—44no—
207Dic83⋊C4—44no—
208C22⋊Dic83—24no—
209C22⋊Dic83—44no—
210(C2×D83)⋊C4—24no—
211(C2×D83)⋊C4—24no—
212(C2×D83)⋊C4—44no—
213(C2×D83)⋊C4—44no—
214C4×Dic83—22no—
215C4×Dic83—24no—
216C4×Dic83C2×D418yes—
217C4×Dic83C2×D414yes—
218C24×C83C2411yescharacteristic
219C22×C4×C83—22no—
220C22×C4×C83—22no—
221C22×C4×C83C2×Q814yes—
222C22×C4×C83C2412yes—
223C22×C4×C83C2414yes—
224C22×C4×C83C2414yes—
225C22×C4×C83C2412yes—
226C22×C4×C83C2411yescharacteristic
227C22×C4×C83C2411yescharacteristic
228C4⋊C4×C83—28no—
229C4⋊C4×C83—24no—
230C4⋊C4×C83—24no—
231C4⋊C4×C83—24no—
232C4⋊C4×C83—44no—
233C4⋊C4×C83—44no—
234C22⋊C4×C83—24no—
235C22⋊C4×C83—44no—
236C42×C83—22no—
237C42×C83C2×D414yes—
238C23×C83—21no—
239C23×C83—21no—
240C23×C83—22no—
241C23×C83—22no—
242C23×C83C22×Q812yes—
243C23×C83C2511yescharacteristic
244C22×D83—21no—
245C22×D83—21no—
246C22×D83—22no—
247C22×D83—22no—
248C22×D83—28no—
249C22×D83—216no—
250C22×D83—48no—
251C22×D83—44no—
252C22×D83—44no—
253C22×D83C22×D412yes—
254C22×D83C22×Q812yes—
255C22×D83C22×Q812yes—
256C22×D83C2×#4112yes—
257C22×D83H(5,𝔽2)14yes—
258C22×D832−1+414yes—
259C2×C4×C83—21no—
260C2×C4×C83—21no—
261C2×C4×C83—22no—
262C2×C4×C83—22no—
263C2×C4×C83—28no—
264C2×C4×C83—22no—
265C2×C4×C83—24no—
266C2×C4×C83—24no—
267C2×C4×C83—24no—
268C2×C4×C83—24no—
269C2×C4×C83—22no—
270C2×C4×C83—24no—
271C2×C4×C83—22no—
272C2×C4×C83—24no—
273C2×C4×C83C22×D414yes—
274C2×C4×C83C22×D412yes—
275C2×C4×C83C22×Q812yes—
276C2×C4×C83C22×Q812yes—
277C2×C4×C83C2×#4112yes—
278C2×Dic83—21no—
279C2×Dic83—21no—
280C2×Dic83—22no—
281C2×Dic83—22no—
282C2×Dic83—28no—
283C2×Dic83—22no—
284C2×Dic83—24no—
285C2×Dic83—24no—
286C2×Dic83—24no—
287C2×Dic83—24no—
288C2×Dic83—24no—
289C2×Dic83—22no—
290C2×Dic83—22no—
291C2×Dic83—24no—
292C2×Dic83C22×D414yes—
293C2×Dic83C22×D412yes—
294C2×Dic83C22×Q812yes—
295C2×Dic83C22×Q812yes—
296C2×Dic83C2×#4112yes—
297C4×D83—28no—
298C4×D83—216no—
299C4×D83—28no—
300C4×D83—28no—
301C4×D83—48no—
302C4×D83—416no—
303C4×D83—416no—
304C4×D83C22⋊Q8116yes—
305C22×C83—22no—
306C22×C83—24no—
307C22×C83—42no—
308C22×C83—41no—
309C22×C83—41no—
310C22×C83C23×D411yescharacteristic
311C22×C83C23×Q811yescharacteristic
312C22×C83C22×#4111yescharacteristic
313C22×C83C2×H(5,𝔽2)12yes—
314C22×C83C2×2−1+412yes—
315C2×D83—22no—
316C2×D83—24no—
317C2×D83—42no—
318C2×D83—41no—
319C2×D83—41no—
320C2×D83—416no—
321C2×D83C2×C22⋊Q814yes—
322C2×D83#53718yes—
323C2×D83#54014yes—
324C2×D83#54114yes—
325C2×D83#54418yes—
326C4×C83—22no—
327C4×C83—24no—
328C4×C83—42no—
329C4×C83—44no—
330C4×C83—44no—
331C4×C83C2×C22⋊Q814yes—
332Dic83—22no—
333Dic83—24no—
334Dic83—42no—
335Dic83—44no—
336Dic83—44no—
337Dic83C2×C22⋊Q814yes—
338C2×#2629—831nomaximal, Sylow
339C2×C83—42no—
340C2×C83C22×C22⋊Q811yescharacteristic
341C2×C83C2×#53712yes—
342C2×C83C2×#54011yescharacteristic
343C2×C83C2×#54111yescharacteristic
344C2×C83C2×#54412yes—
345D83—42no—
346D83#262918yesdirect product factor
347C22×#125—831no—
348C22×#117—831no—
349#2629—834no—
350#2629—834no—
351#2629—832no—
352#2629—831no—
353#2629—832no—
354#2629—831no—
355#2629—831no—
356#2629D8311yescharacteristic, direct product factor
357C2×#398—834no—
358C2×#396—834no—
359C2×#389—832no—
360C2×#384—831no—
361C2×#380—832no—
362C83C2×#262911yescharacteristic, complemented, Sylow
363C24×C4—831no—
364C2×#125—834no—
365C2×#125—832no—
366C2×#125—831no—
367C2×#125—1668no—
368C2×#125C2×D8311yescharacteristic, complemented
369C2×#117—831no—
370C2×#117—832no—
371C2×#117—832no—
372C2×#117—831no—
373C2×#117—831no—
374C2×#117—1668no—
375C2×#117C2×D8311yescharacteristic
376C22×C4⋊C4—834no—
377C22×C4⋊C4—834no—
378C22×C4⋊C4—834no—
379C22×C4⋊C4—832no—
380C22×C4⋊C4—832no—
381C22×C4⋊C4—832no—
382C22×C22⋊C4—834no—
383C22×C22⋊C4—832no—
384C22×C42—831no—
385C22×C42—831no—
386#398—834no—
387#398—834no—
388#398—834no—
389#398—834no—
390#398—834no—
391#398—834no—
392#398—834no—
393#398C2×D8314yescomplemented
394#396—834no—
395#396—834no—
396#396—834no—
397#396—834no—
398#396—834no—
399#396—834no—
400#396—834no—
401#396C2×D8314yes—
402#389—834no—
403#389—832no—
404#389—832no—
405#389—832no—
406#389—834no—
407#389C2×D8312yescomplemented
408#384—832no—
409#384—834no—
410#384—831no—
411#384C2×D8311yescharacteristic, complemented
412#380—832no—
413#380—832no—
414#380—832no—
415#380—834no—
416#380—834no—
417#380C2×D8312yes—
418C2×#95—834no—
419C2×#95—834no—
420C25—831no—
421C23×C4—831no—
422C23×C4—831no—
423C23×C4—838no—
424C23×C4—832no—
425C23×C4—831no—
426C23×C4—831no—
427C23×C4—831no—
428C23×C4—834no—
429C23×C4—834no—
430C23×C4—832no—
431C23×C4—1664no—
432C23×C4—1664no—
433C23×C4C22×D8311yescharacteristic
434#125—24no—
435#125—16616no—
436#125—1668no—
437#125—1664no—
438#117—24no—
439#117—1664no—
440#117—1668no—
441#117—1668no—
442#117—1664no—
443#117—1664no—
444C2×C4⋊C4—3328no—
445C2×C4⋊C4—3328no—
446C2×C4⋊C4—834no—
447C2×C4⋊C4—834no—
448C2×C4⋊C4—834no—
449C2×C4⋊C4—834no—
450C2×C4⋊C4—834no—
451C2×C4⋊C4—834no—
452C2×C4⋊C4—832no—
453C2×C4⋊C4—832no—
454C2×C4⋊C4—832no—
455C2×C4⋊C4—834no—
456C2×C4⋊C4—832no—
457C2×C4⋊C4—834no—
458C2×C4⋊C4—834no—
459C2×C4⋊C4—834no—
460C2×C4⋊C4—834no—
461C2×C4⋊C4—832no—
462C2×C4⋊C4—1668no—
463C2×C4⋊C4—1668no—
464C2×C4⋊C4—16616no—
465C2×C4⋊C4—1668no—
466C2×C4⋊C4C22×D8312yes—
467C2×C4⋊C4C22×D8312yes—
468C2×C4⋊C4C22×D8314yes—
469C2×C4⋊C4C22×D8312yes—
470C2×C4⋊C4C22×D8314yes—
471C2×C4⋊C4C22×D8314yes—
472C2×C22⋊C4—3328no—
473C2×C22⋊C4—834no—
474C2×C22⋊C4—834no—
475C2×C22⋊C4—834no—
476C2×C22⋊C4—832no—
477C2×C22⋊C4—832no—
478C2×C22⋊C4—832no—
479C2×C22⋊C4—1668no—
480C2×C22⋊C4C22×D8312yes—
481C2×C22⋊C4C22×D8314yes—
482C2×C42—832no—
483C2×C42—831no—
484C2×C42—838no—
485C2×C42—832no—
486C2×C42—831no—
487C2×C42—1664no—
488C2×C42C22×D8311yescharacteristic
489C2×C42C22×D8311yescharacteristic
490#95—834no—
491#95—834no—
492#95—834no—
493#95—834no—
494#95—834no—
495#95—834no—
496#95C22×D8314yes—
497#95C22×D8314yes—
498C24—831no—
499C24—834no—
500C24—831no—
501C24—1664no—
502C24—1662no—
503C24—1662no—
504C24—1664no—
505C24C23×D8311yescharacteristic
506C22×C4—22no—
507C22×C4—22no—
508C22×C4—831no—
509C22×C4—834no—
510C22×C4—834no—
511C22×C4—834no—
512C22×C4—834no—
513C22×C4—831no—
514C22×C4—832no—
515C22×C4—838no—
516C22×C4—834no—
517C22×C4—834no—
518C22×C4—834no—
519C22×C4—832no—
520C22×C4—834no—
521C22×C4—834no—
522C22×C4—1664no—
523C22×C4—1668no—
524C22×C4—1668no—
525C22×C4—1668no—
526C22×C4—1664no—
527C22×C4—1668no—
528C22×C4—1668no—
529C22×C4—1668no—
530C22×C4—1664no—
531C22×C4—1662no—
532C22×C4—1662no—
533C22×C4—16632no—
534C22×C4—1664no—
535C22×C4—1662no—
536C22×C4—1662no—
537C22×C4—1664no—
538C22×C4—1662no—
539C22×C4—1662no—
540C22×C4—1662no—
541C22×C4—1662no—
542C22×C4Q8×D8314yes—
543C22×C4C23×D8312yes—
544C22×C4C23×D8314yes—
545C22×C4C23×D8314yes—
546C22×C4C23×D8312yes—
547C22×C4C23×D8311yescharacteristic
548C22×C4C23×D8311yescharacteristic
549C4⋊C4—24no—
550C4⋊C4—28no—
551C4⋊C4—24no—
552C4⋊C4—24no—
553C4⋊C4—44no—
554C4⋊C4—44no—
555C4⋊C4—3324no—
556C4⋊C4—3324no—
557C4⋊C4—3324no—
558C4⋊C4—3324no—
559C4⋊C4—3324no—
560C4⋊C4—3324no—
561C4⋊C4—1664no—
562C4⋊C4—1664no—
563C4⋊C4—1668no—
564C4⋊C4—1668no—
565C4⋊C4—1668no—
566C4⋊C4—1668no—
567C4⋊C4—1664no—
568C4⋊C4—1668no—
569C4⋊C4—1664no—
570C4⋊C4—1664no—
571C22⋊C4—24no—
572C22⋊C4—44no—
573C22⋊C4—3324no—
574C22⋊C4—3324no—
575C22⋊C4—3324no—
576C22⋊C4—1664no—
577C22⋊C4—1664no—
578C22⋊C4—1664no—
579C42—22no—
580C42—838no—
581C42—834no—
582C42—1664no—
583C42—1662no—
584C42D4×D8314yes—
585C23—21no—
586C23—21no—
587C23—22no—
588C23—22no—
589C23—3328no—
590C23—3324no—
591C23—3324no—
592C23—832no—
593C23—832no—
594C23—832no—
595C23—834no—
596C23—834no—
597C23—832no—
598C23—1668no—
599C23—16616no—
600C23—1661no—
601C23—1661no—
602C23—1662no—
603C23—1662no—
604C23C2×Q8×D8312yes—
605C23C24×D8311yescharacteristic
606C2×C4—21no—
607C2×C4—21no—
608C2×C4—22no—
609C2×C4—22no—
610C2×C4—28no—
611C2×C4—22no—
612C2×C4—24no—
613C2×C4—24no—
614C2×C4—24no—
615C2×C4—24no—
616C2×C4—22no—
617C2×C4—24no—
618C2×C4—22no—
619C2×C4—24no—
620C2×C4—3328no—
621C2×C4—33216no—
622C2×C4—33216no—
623C2×C4—832no—
624C2×C4—832no—
625C2×C4—832no—
626C2×C4—8316no—
627C2×C4—834no—
628C2×C4—832no—
629C2×C4—1668no—
630C2×C4—1668no—
631C2×C4—16616no—
632C2×C4—1662no—
633C2×C4—1664no—
634C2×C4—1664no—
635C2×C4—1664no—
636C2×C4—1664no—
637C2×C4—1662no—
638C2×C4—1664no—
639C2×C4—1662no—
640C2×C4—1664no—
641C2×C4—1668no—
642C2×C4—1661no—
643C2×C4—1661no—
644C2×C4—1662no—
645C2×C4—1662no—
646C2×C4—1668no—
647C2×C4C2×D4×D8314yes—
648C2×C4C2×D4×D8312yes—
649C2×C4C2×Q8×D8312yes—
650C2×C4C2×Q8×D8312yes—
651C2×C4#41×D8312yes—
652C22—24no—
653C22—22no—
654C22—42no—
655C22—41no—
656C22—41no—
657C22—33216no—
658C22—3322no—
659C22—3321no—
660C22—3321no—
661C22—838no—
662C22—834no—
663C22—838no—
664C22—834no—
665C22—834no—
666C22—1664no—
667C22—1662no—
668C22C22×D4×D8311yescharacteristic
669C22C22×Q8×D8311yescharacteristic
670C22C2×#41×D8311yescharacteristic
671C22H(5,𝔽2)×D8312yes—
672C222−1+4×D8312yes—
673C4—22no—
674C4—24no—
675C4—42no—
676C4—44no—
677C4—44no—
678C4—3322no—
679C4—3324no—
680C4—3324no—
681C4—834no—
682C4—1662no—
683C4—1664no—
684C4C22⋊Q8×D8314yes—
685C2—42no—
686C2—3322no—
687C2—838no—
688C2C2×C22⋊Q8×D8311yescharacteristic
689C2#537×D8312yes—
690C2#540×D8311yescharacteristic
691C2#541×D8311yescharacteristic
692C2#544×D8312yes—
subgroupG/H
center, FrattiniC23C24×D83
commutator, socle, cosocleC23×C83C25
FittingC83×#2629C2
prime radicalC24×D83C23
hypercenter#2629D83
hypocenterC83C2×#2629
LCSG ▷ C23×C83 ▷ C83
UCSC1 ◁ C23 ◁ #2629

Complements

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

NH ≅ G/Ntype
1. C2×#125×D83C2semidirect
3. #24913298C2semidirect
4. #24913297C2semidirect
5. #24913296C2semidirect
6. #24913295C2semidirect
7. #24913294C2semidirect
8. #24913293C2semidirect
9. #24913292C2semidirect
10. #398×D83C2semidirect
12. #389×D83C2semidirect
13. #384×D83C2semidirect
15. C83×#2629C2semidirect
17. C2×#14581784C22semidirect
18. C2×#14581783C22semidirect
19. C2×#14581782C22semidirect
37. #19127635C22semidirect
38. #19127635C22semidirect
39. #19127634C22semidirect
40. #19127634C22semidirect
41. #19127633C22semidirect
42. #19127632C22semidirect
43. #19127631C22semidirect
51. #19127600C22semidirect
52. #19127599C22semidirect
53. #19127598C22semidirect
54. #19127597C22semidirect
55. #19127596C22semidirect
56. #19127571C22semidirect
57. #19127570C22semidirect
58. #19127570C22semidirect
66. C2×#125×C83C22semidirect
68. #398×C83C22semidirect
70. #389×C83C22semidirect
71. #384×C83C22semidirect
346. D83#2629direct (N × H)
356. #2629D83direct (N × H)
362. C83C2×#2629semidirect
368. C2×#125C2×D83semidirect
393. #398C2×D83semidirect
407. #389C2×D83semidirect
411. #384C2×D83semidirect

Maximal subgroups

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

subgroupindex
C2×#125×D832
C2×#117×D832
#249132982
#249132972
#249132962
#249132952
#249132942
#249132932
#249132922
#398×D832
#396×D832
#389×D832
#384×D832
#380×D832
C83×#26292
C2×#262983