Finite Group Databasebeta

← #35565358

Subgroups — #35565358

Order 21248.

2834 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×#19128174C211yesmaximal, characteristic
2#24910397C214yesmaximal, complemented
3#24910386C214yesmaximal, complemented
4#24910317C214yesmaximal, complemented
5#24910306C214yesmaximal, complemented
6#24910090C214yesmaximal, complemented
7#24910075C211yesmaximal, characteristic, complemented
8#24910038C211yesmaximal, characteristic
9#24909902C214yesmaximal, complemented
10C2×#19127578C211yesmaximal, characteristic
11C2×#19127573C211yesmaximal, characteristic, complemented
12C2×C22⋊C4×Dic83C211yesmaximal, characteristic, complemented
13C83×#2273C211yesmaximal, characteristic, complemented
14C23×C22⋊D83C2211yescharacteristic
15C24×Dic83C2211yescharacteristic
16#19128174C4116yescomplemented
17C2×C4×C22⋊D83C2214yes—
18C2×(C22⋊D83)⋊C4C2214yes—
19C2×#14581749C2214yescomplemented
20C2×#14581748C2212yes—
21C22×Dic83⋊C4C2212yescomplemented
22C22×C22⋊Dic83C2211yescharacteristic
23C22×C22⋊Dic83C2211yescharacteristic
24C22×(C2×D83)⋊C4C2212yes—
25C2×C22⋊C4×D83C2212yes—
26C22×C4×Dic83C2212yescomplemented
27#19127592C2214yescomplemented
28#19127592C2214yescomplemented
29#19127590C2214yescomplemented
30#19127590C2214yescomplemented
31#19127585C2214yescomplemented
32#19127585C2214yescomplemented
33#19127583C2214yescomplemented
34#19127583C2214yescomplemented
35#19127580C2212yes—
36#19127580C2212yes—
37#19127578C2212yes—
38#19127578C2214yes—
39#19127578C2214yes—
40#19127578C2212yes—
41#19127574C2214yes—
42#19127573C2214yes—
43#19127573C2212yescomplemented
44#19127573C2214yescomplemented
45#19127573C2212yescomplemented
46#19127568C2214yescomplemented
47#19127565C2214yescomplemented
48#19127563C2214yescomplemented
49#19127562C2212yes—
50#19127560C2214yescomplemented
51#19127559C2214yescomplemented
52#19127556C2212yes—
53C4×Dic83⋊C4C2214yescomplemented
54C22⋊C4×Dic83C2214yes—
55C22⋊C4×Dic83C2214yescomplemented
56C4×(C2×D83)⋊C4C2214yescomplemented
57#19127547C2214yescomplemented
58C2×C83⋊#95C2212yes—
59C2×C83⋊#95C2212yescomplemented
60C2×C83⋊#95C2212yescomplemented
61C22×C22⋊C4×C83C2211yescharacteristic
62C22×C22⋊C4×C83C2211yescharacteristic
63C22×C22⋊C4×C83C2211yescharacteristic
64C4×C22⋊C4×C83C2214yes—
65C4×C22⋊C4×C83C2214yescomplemented
66C4×C22⋊C4×C83C2212yescomplemented
67C4×C22⋊C4×C83C2212yescomplemented
68C24×D83C2311yescharacteristic
69C22×C22⋊D83—24no—
70C22×C22⋊D83—24no—
71C22×C22⋊D83C2×C418yes—
72C22×C22⋊D83C2312yes—
73C22×C22⋊D83C2312yes—
74C23×Dic83—24no—
75C23×Dic83—44no—
76C23×Dic83C2311yescharacteristic
77C23×Dic83C2312yes—
78C23×Dic83C2312yes—
79C23×Dic83C2311yescharacteristic
80C23×Dic83C2312yes—
81C23×Dic83C2311yescharacteristic
82C23×Dic83C2312yes—
83C22×C4×D83C2314yes—
84C4×C22⋊D83C2×C4132yescomplemented
85(C22⋊D83)⋊C4C2×C4132yescomplemented
86#14581749—48no—
87#14581748C2×C4116yescomplemented
88C2×Dic83⋊C4—44no—
89C2×Dic83⋊C4C2314yes—
90C2×Dic83⋊C4C2314yes—
91C2×Dic83⋊C4C2314yes—
92C2×Dic83⋊C4C2314yes—
93C2×Dic83⋊C4C2314yes—
94C2×C22⋊Dic83—24no—
95C2×C22⋊Dic83C2×C418yes—
96C2×C22⋊Dic83C2312yes—
97C2×C22⋊Dic83C2312yes—
98C2×C22⋊Dic83C2312yes—
99C2×C22⋊Dic83C2312yes—
100C2×(C2×D83)⋊C4—44no—
101C2×(C2×D83)⋊C4C2314yes—
102C2×(C2×D83)⋊C4C2314yes—
103C2×(C2×D83)⋊C4C2314yes—
104C2×(C2×D83)⋊C4C2314yes—
105C2×(C2×D83)⋊C4C2314yes—
106C22⋊C4×D83C2×C4116yescomplemented
107C2×C4×Dic83—44no—
108C2×C4×Dic83C2314yes—
109C2×C4×Dic83C2314yes—
110C2×C4×Dic83C2314yes—
111C83⋊#95C2314yes—
112C83⋊#95C2314yes—
113C83⋊#95C2314yes—
114C83⋊#95C2314yes—
115C83⋊#95C2314yes—
116C83⋊#95C2314yes—
117C83⋊#95C2314yes—
118C83⋊#95C2314yes—
119C83⋊#95C2314yes—
120C83⋊#95C2314yes—
121C25×C83C2311yescharacteristic
122C23×C4×C83C2312yes—
123C23×C4×C83C2311yescharacteristic
124C23×C4×C83C2311yescharacteristic
125C23×C4×C83C2312yes—
126C2×C22⋊C4×C83—24no—
127C2×C22⋊C4×C83—24no—
128C2×C22⋊C4×C83C2×C418yes—
129C2×C22⋊C4×C83C2312yes—
130C2×C22⋊C4×C83C2312yes—
131C2×C22⋊C4×C83C2312yes—
132C2×C22⋊C4×C83C2312yes—
133C2×C22⋊C4×C83C2312yes—
134C2×C22⋊C4×C83C2312yes—
135C2×C42×C83C2314yes—
136C2×C42×C83C2314yes—
137#95×C83C2314yes—
138#95×C83C2314yes—
139C23×D83—22no—
140C23×D83—22no—
141C23×D83—42no—
142C23×D83—42no—
143C23×D83C22×C414yes—
144C23×D83C2412yes—
145C2×C22⋊D83—232no—
146C2×C22⋊D83—24no—
147C2×C22⋊D83—24no—
148C2×C22⋊D83—24no—
149C2×C22⋊D83—24no—
150C2×C22⋊D83C22×C418yes—
151C2×C22⋊D83C22×C418yes—
152C22×Dic83—22no—
153C22×Dic83—22no—
154C22×Dic83—22no—
155C22×Dic83—24no—
156C22×Dic83—24no—
157C22×Dic83—24no—
158C22×Dic83—22no—
159C22×Dic83—24no—
160C22×Dic83—24no—
161C22×Dic83—24no—
162C22×Dic83—42no—
163C22×Dic83—42no—
164C22×Dic83—42no—
165C22×Dic83—42no—
166C22×Dic83—42no—
167C22×Dic83—42no—
168C22×Dic83—42no—
169C22×Dic83—416no—
170C22×Dic83C22×C414yes—
171C22×Dic83C22×C418yes—
172C22×Dic83C2412yes—
173C22×Dic83C2414yes—
174C22×Dic83C2414yes—
175C22×Dic83C2412yes—
176C22×Dic83C2412yes—
177C2×C4×D83—44no—
178C2×C4×D83—44no—
179C2×C4×D83C22×C4116yescomplemented
180Dic83⋊C4—28no—
181Dic83⋊C4—44no—
182Dic83⋊C4—44no—
183Dic83⋊C4—44no—
184Dic83⋊C4C22×C4116yescomplemented
185C22⋊Dic83—24no—
186C22⋊Dic83—24no—
187C22⋊Dic83C22×C418yes—
188C22⋊Dic83C22×C418yes—
189(C2×D83)⋊C4—28no—
190(C2×D83)⋊C4—44no—
191(C2×D83)⋊C4—44no—
192(C2×D83)⋊C4—44no—
193(C2×D83)⋊C4C22×C4116yescomplemented
194C4×Dic83—28no—
195C4×Dic83—44no—
196C4×Dic83C22×C4116yescomplemented
197C24×C83—42no—
198C24×C83—42no—
199C24×C83C22×C414yes—
200C24×C83#4114yes—
201C24×C83#4114yes—
202C24×C83C2411yescharacteristic
203C24×C83C2411yescharacteristic
204C24×C83C2411yescharacteristic
205C22×C4×C83—24no—
206C22×C4×C83—22no—
207C22×C4×C83—22no—
208C22×C4×C83—42no—
209C22×C4×C83—42no—
210C22×C4×C83—42no—
211C22×C4×C83—42no—
212C22×C4×C83—42no—
213C22×C4×C83—42no—
214C22×C4×C83C22×C418yes—
215C22×C4×C83C2412yes—
216C22×C4×C83C2414yes—
217C22×C4×C83C2412yes—
218C22×C4×C83C2414yes—
219C22⋊C4×C83—24no—
220C22⋊C4×C83—24no—
221C22⋊C4×C83—24no—
222C22⋊C4×C83—24no—
223C22⋊C4×C83C22×C418yes—
224C22⋊C4×C83C22×C418yes—
225C42×C83—44no—
226C42×C83—44no—
227C23×C83—22no—
228C23×C83—22no—
229C23×C83—22no—
230C23×C83—22no—
231C23×C83—22no—
232C23×C83—22no—
233C23×C83—48no—
234C23×C83—44no—
235C23×C83—48no—
236C23×C83—44no—
237C23×C83#117116yescomplemented
238C23×C83C23×C412yes—
239C23×C83C23×C412yes—
240C23×C83C23×C412yes—
241C23×C83C2×#4112yes—
242C23×C83C2×#4112yes—
243C23×C83C2×#4112yes—
244C23×C83C2×#4112yes—
245C23×C83C2×#4112yes—
246C23×C83C2×#4112yes—
247C23×C83C2511yescharacteristic
248C22×D83—22no—
249C22×D83—22no—
250C22×D83—24no—
251C22×D83—24no—
252C22×D83—28no—
253C22×D83—48no—
254C22×D83—82no—
255C22×D83—82no—
256C22×D83—84no—
257C22×D83C23×C414yes—
258C2×C4×C83—24no—
259C2×C4×C83—24no—
260C2×C4×C83—22no—
261C2×C4×C83—22no—
262C2×C4×C83—24no—
263C2×C4×C83—24no—
264C2×C4×C83—24no—
265C2×C4×C83—24no—
266C2×C4×C83—24no—
267C2×C4×C83—48no—
268C2×C4×C83—82no—
269C2×C4×C83—82no—
270C2×C4×C83—84no—
271C2×C4×C83C23×C418yes—
272C22⋊D83—216no—
273C22⋊D83—216no—
274C2×Dic83—28no—
275C2×Dic83—28no—
276C2×Dic83—22no—
277C2×Dic83—22no—
278C2×Dic83—22no—
279C2×Dic83—22no—
280C2×Dic83—24no—
281C2×Dic83—24no—
282C2×Dic83—24no—
283C2×Dic83—22no—
284C2×Dic83—24no—
285C2×Dic83—22no—
286C2×Dic83—22no—
287C2×Dic83—24no—
288C2×Dic83—48no—
289C2×Dic83—48no—
290C2×Dic83—48no—
291C2×Dic83—48no—
292C2×Dic83—44no—
293C2×Dic83C23×C414yes—
294C2×Dic83C23×C418yes—
295C2×Dic83H(5,𝔽2)14yes—
296C4×D83—416no—
297C22×C83—24no—
298C22×C83—24no—
299C22×C83—24no—
300C22×C83—22no—
301C22×C83—22no—
302C22×C83—22no—
303C22×C83—22no—
304C22×C83—22no—
305C22×C83—22no—
306C22×C83—24no—
307C22×C83—24no—
308C22×C83—24no—
309C22×C83—416no—
310C22×C83C2×#11714yes—
311C22×C83C2×#11714yes—
312C22×C83C2×#11714yes—
313C22×C83C24×C411yescharacteristic
314C22×C83C22×#4111yescharacteristic
315C22×C83C22×#4111yescharacteristic
316C22×C83C2×H(5,𝔽2)12yes—
317C22×C83#58512yes—
318C2×D83—24no—
319C2×D83—28no—
320C2×D83—42no—
321C2×D83—42no—
322C2×D83—44no—
323C2×D83—88no—
324C4×C83—28no—
325C4×C83—42no—
326C4×C83—42no—
327C4×C83—44no—
328Dic83—24no—
329Dic83—28no—
330Dic83—24no—
331Dic83—42no—
332Dic83—44no—
333#34251—831nomaximal, Sylow
334C2×C83—24no—
335C2×C83—24no—
336C2×C83—24no—
337C2×C83C22×#11711yescharacteristic
338C2×C83C4×H(5,𝔽2)12yes—
339C2×C83#349011yescharacteristic
340C2×C83#349111yescharacteristic
341C2×C83#350512yes—
342D83—44no—
343C2×#518—831no—
344#2353—834no—
345#2352—834no—
346#2343—834no—
347#2342—834no—
348#2318—834no—
349#2315—831no—
350#2308—831no—
351#2290—834no—
352C2×#386—831no—
353C2×#385—831no—
354#2273D8311yescharacteristic, complemented
355C2×C4×C22⋊C4—831no—
356C83#3425111yescharacteristic, complemented, Sylow
357C23×D4—831no—
358C24×C4—831no—
359#518—8316no—
360C2×C4×D4—834no—
361C2×C4×D4—834no—
362C2×#117—832no—
363C2×#117—834no—
364C22×C4⋊C4—832no—
365C22×C22⋊C4—832no—
366C22×C22⋊C4—831no—
367C22×C22⋊C4—832no—
368C22×C22⋊C4—831no—
369C22×C22⋊C4C2×D8311yescharacteristic
370C22×C22⋊C4C2×D8311yescharacteristic
371C22×C22⋊C4C2×D8311yescharacteristic
372C22×C42—832no—
373#388—834no—
374#388—834no—
375#388—834no—
376#388—834no—
377#387—834no—
378#387—834no—
379#387—834no—
380#387—834no—
381#386—832no—
382#386—832no—
383#386—834no—
384#386—832no—
385#386—834no—
386#386—832no—
387#385—834no—
388#385—834no—
389#385—832no—
390#385—834no—
391#385—832no—
392#383—834no—
393#382—834no—
394#381—832no—
395#381—834no—
396#380—834no—
397#380—834no—
398#379—832no—
399C4×C4⋊C4—834no—
400C4×C22⋊C4—834no—
401C4×C22⋊C4—834no—
402C4×C22⋊C4—834no—
403C4×C22⋊C4C2×D8314yes—
404C4×C22⋊C4C2×D8314yescomplemented
405C4×C22⋊C4C2×D8312yescomplemented
406C4×C22⋊C4C2×D8312yescomplemented
407#376—834no—
408C2×#95—832no—
409C2×#95—832no—
410C2×#95—832no—
411C25—831no—
412C25C22×D8311yescharacteristic
413C22×D4—838no—
414C22×D4—832no—
415C22×D4—832no—
416C22×D4—1664no—
417C22×D4—1664no—
418C23×C4—3324no—
419C23×C4—832no—
420C23×C4—834no—
421C23×C4—832no—
422C23×C4—831no—
423C23×C4—832no—
424C23×C4—832no—
425C23×C4—831no—
426C23×C4—831no—
427C23×C4—1664no—
428C23×C4C22×D8312yes—
429C23×C4C22×D8311yescharacteristic
430C23×C4C22×D8311yescharacteristic
431C23×C4C22×D8312yes—
432C4×D4—8332no—
433C4×D4—8332no—
434#117—3328no—
435#117—8316no—
436C2×C4⋊C4—3324no—
437C2×C4⋊C4—834no—
438C2×C4⋊C4—834no—
439C2×C4⋊C4—834no—
440C2×C4⋊C4—834no—
441C2×C4⋊C4—834no—
442C2×C22⋊C4—24no—
443C2×C22⋊C4—24no—
444C2×C22⋊C4—3324no—
445C2×C22⋊C4—834no—
446C2×C22⋊C4—834no—
447C2×C22⋊C4—834no—
448C2×C22⋊C4—838no—
449C2×C22⋊C4—832no—
450C2×C22⋊C4—832no—
451C2×C22⋊C4—834no—
452C2×C22⋊C4—8316no—
453C2×C22⋊C4—832no—
454C2×C22⋊C4—832no—
455C2×C22⋊C4—834no—
456C2×C22⋊C4—1664no—
457C2×C22⋊C4C4×D8318yes—
458C2×C22⋊C4C22×D8312yes—
459C2×C22⋊C4C22×D8312yes—
460C2×C22⋊C4C22×D8312yes—
461C2×C22⋊C4C22×D8312yes—
462C2×C22⋊C4C22×D8312yes—
463C2×C22⋊C4C22×D8312yes—
464C2×C42—3324no—
465C2×C42—834no—
466C2×C42—834no—
467C2×C42—834no—
468C2×C42C22×D8314yes—
469C2×C42C22×D8314yes—
470#95—834no—
471#95—834no—
472#95—834no—
473#95—834no—
474#95—834no—
475#95—834no—
476#95—834no—
477#95—834no—
478#95—834no—
479#95—834no—
480#95C22×D8314yes—
481#95C22×D8314yes—
482C24—42no—
483C24—42no—
484C24—3322no—
485C24—3322no—
486C24—834no—
487C24—832no—
488C24—1662no—
489C24—1662no—
490C24C2×C4×D8314yes—
491C24#1305059014yes—
492C24#1305059014yes—
493C24C23×D8311yescharacteristic
494C24C23×D8311yescharacteristic
495C24C23×D8311yescharacteristic
496C2×D4—838no—
497C2×D4—838no—
498C2×D4—1664no—
499C2×D4—1664no—
500C2×D4—1664no—
501C2×D4—1664no—
502C2×D4—16632no—
503C22×C4—24no—
504C22×C4—22no—
505C22×C4—22no—
506C22×C4—42no—
507C22×C4—42no—
508C22×C4—42no—
509C22×C4—42no—
510C22×C4—42no—
511C22×C4—42no—
512C22×C4—3324no—
513C22×C4—3324no—
514C22×C4—33216no—
515C22×C4—3322no—
516C22×C4—3322no—
517C22×C4—3322no—
518C22×C4—3322no—
519C22×C4—3322no—
520C22×C4—3322no—
521C22×C4—3322no—
522C22×C4—838no—
523C22×C4—8316no—
524C22×C4—834no—
525C22×C4—832no—
526C22×C4—832no—
527C22×C4—834no—
528C22×C4—832no—
529C22×C4—834no—
530C22×C4—1664no—
531C22×C4—1664no—
532C22×C4—1664no—
533C22×C4—1662no—
534C22×C4—1664no—
535C22×C4—1664no—
536C22×C4—1664no—
537C22×C4—1662no—
538C22×C4—1662no—
539C22×C4—1662no—
540C22×C4C2×C4×D8318yes—
541C22×C4C23×D8312yes—
542C22×C4C23×D8314yes—
543C22×C4C23×D8312yes—
544C22×C4C23×D8314yes—
545C4⋊C4—3324no—
546C4⋊C4—3324no—
547C4⋊C4—3324no—
548C4⋊C4—8316no—
549C4⋊C4—1668no—
550C22⋊C4—24no—
551C22⋊C4—24no—
552C22⋊C4—24no—
553C22⋊C4—24no—
554C22⋊C4—3324no—
555C22⋊C4—3324no—
556C22⋊C4—3324no—
557C22⋊C4—838no—
558C22⋊C4—838no—
559C22⋊C4—8316no—
560C22⋊C4—1668no—
561C22⋊C4—1664no—
562C22⋊C4—1664no—
563C22⋊C4C2×C4×D8318yes—
564C22⋊C4C2×C4×D8318yes—
565C42—44no—
566C42—44no—
567C42—3324no—
568C42—8316no—
569C42—1668no—
570C23—22no—
571C23—22no—
572C23—22no—
573C23—22no—
574C23—22no—
575C23—22no—
576C23—44no—
577C23—48no—
578C23—44no—
579C23—48no—
580C23—3328no—
581C23—834no—
582C23—6642no—
583C23—6642no—
584C23—6644no—
585C23—1662no—
586C23—1662no—
587C23—1664no—
588C23—1664no—
589C23—1668no—
590C23#14581749116yescomplemented
591C23C22×C4×D8312yes—
592C23C22×C4×D8312yes—
593C23C22×C4×D8312yes—
594C23C2×#1305059012yes—
595C23C2×#1305059012yes—
596C23C2×#1305059012yes—
597C23C2×#1305059012yes—
598C23C2×#1305059012yes—
599C23C2×#1305059012yes—
600C23C24×D8311yescharacteristic
601D4—16616no—
602D4—16616no—
603C2×C4—24no—
604C2×C4—24no—
605C2×C4—22no—
606C2×C4—22no—
607C2×C4—24no—
608C2×C4—24no—
609C2×C4—24no—
610C2×C4—24no—
611C2×C4—24no—
612C2×C4—48no—
613C2×C4—82no—
614C2×C4—82no—
615C2×C4—84no—
616C2×C4—33216no—
617C2×C4—3324no—
618C2×C4—3328no—
619C2×C4—3328no—
620C2×C4—3328no—
621C2×C4—3328no—
622C2×C4—834no—
623C2×C4—838no—
624C2×C4—834no—
625C2×C4—1664no—
626C2×C4—1662no—
627C2×C4—1664no—
628C2×C4—1662no—
629C2×C4—1662no—
630C2×C4—1664no—
631C2×C4—1668no—
632C2×C4—1668no—
633C2×C4—1662no—
634C2×C4—1662no—
635C2×C4—1662no—
636C2×C4—1662no—
637C2×C4—1664no—
638C2×C4—1664no—
639C2×C4C22×C4×D8318yes—
640C22—22no—
641C22—22no—
642C22—22no—
643C22—22no—
644C22—22no—
645C22—22no—
646C22—24no—
647C22—24no—
648C22—24no—
649C22—24no—
650C22—24no—
651C22—24no—
652C22—416no—
653C22—3322no—
654C22—3322no—
655C22—3324no—
656C22—6648no—
657C22—1664no—
658C22—1668no—
659C22C2×#1458174914yes—
660C22C2×#1458174914yes—
661C22C2×#1458174914yes—
662C22C23×C4×D8311yescharacteristic
663C22C22×#1305059011yescharacteristic
664C22C22×#1305059011yescharacteristic
665C22H(5,𝔽2)×D8312yes—
666C22#1912853612yes—
667C4—28no—
668C4—42no—
669C4—42no—
670C4—44no—
671C4—3322no—
672C4—3324no—
673C4—1664no—
674C4—1664no—
675C4—1668no—
676C2—24no—
677C2—24no—
678C2—24no—
679C2—3324no—
680C2C22×#1458174911yescharacteristic
681C2#2492066712yes—
682C2#2492114811yescharacteristic
683C2#2492115611yescharacteristic
684C2#2492129312yes—
subgroupG/H
center, FrattiniC23C24×D83
commutatorC22×C83C24×C4
FittingC83×#2273C2
socle, cosocleC23×C83C25
prime radicalC23×C22⋊D83C22
hypercenter#2273D83
hypocenterC83#34251
LCSG ▷ C22×C83 ▷ C83
UCSC1 ◁ C23 ◁ #2273

Complements

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

NH ≅ G/Ntype
2. #24910397C2semidirect
3. #24910386C2semidirect
4. #24910317C2semidirect
5. #24910306C2semidirect
6. #24910090C2semidirect
7. #24910075C2semidirect
9. #24909902C2semidirect
11. C2×#19127573C2semidirect
12. C2×C22⋊C4×Dic83C2semidirect
13. C83×#2273C2semidirect
16. #19128174C4semidirect
19. C2×#14581749C22semidirect
21. C22×Dic83⋊C4C22semidirect
26. C22×C4×Dic83C22semidirect
27. #19127592C22semidirect
28. #19127592C22semidirect
29. #19127590C22semidirect
30. #19127590C22semidirect
31. #19127585C22semidirect
32. #19127585C22semidirect
33. #19127583C22semidirect
34. #19127583C22semidirect
43. #19127573C22semidirect
44. #19127573C22semidirect
45. #19127573C22semidirect
46. #19127568C22semidirect
47. #19127565C22semidirect
48. #19127563C22semidirect
50. #19127560C22semidirect
51. #19127559C22semidirect
53. C4×Dic83⋊C4C22semidirect
55. C22⋊C4×Dic83C22semidirect
56. C4×(C2×D83)⋊C4C22semidirect
57. #19127547C22semidirect
59. C2×C83⋊#95C22semidirect
60. C2×C83⋊#95C22semidirect
65. C4×C22⋊C4×C83C22semidirect
66. C4×C22⋊C4×C83C22semidirect
67. C4×C22⋊C4×C83C22semidirect
84. C4×C22⋊D83C2×C4semidirect
85. (C22⋊D83)⋊C4C2×C4semidirect
87. #14581748C2×C4semidirect
106. C22⋊C4×D83C2×C4semidirect
179. C2×C4×D83C22×C4semidirect
184. Dic83⋊C4C22×C4semidirect
193. (C2×D83)⋊C4C22×C4semidirect
196. C4×Dic83C22×C4semidirect
237. C23×C83#117semidirect
354. #2273D83semidirect
356. C83#34251semidirect
404. C4×C22⋊C4C2×D83semidirect
405. C4×C22⋊C4C2×D83semidirect
406. C4×C22⋊C4C2×D83semidirect
590. C23#14581749semidirect

Maximal subgroups

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

subgroupindex
C2×#191281742
#249103972
#249103862
#249103172
#249103062
#249100902
#249100752
#249100382
#249099022
C2×#191275782
C2×#191275732
C2×C22⋊C4×Dic832
C83×#22732
#3425183