Finite Group Databasebeta

← #35404293

Subgroups — #35404293

Order 21248.

1418 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
1C22×#14581749C211yesmaximal, characteristic
2C2×#19127761C212yesmaximal, complemented
3#24907533C212yesmaximal, complemented
4#24907444C212yesmaximal, complemented
5#24907443C211yesmaximal, characteristic, complemented
6#24907372C211yesmaximal, characteristic
7#24907372C211yesmaximal, characteristic
8#24907228C212yesmaximal, complemented
9#24907227C211yesmaximal, characteristic, complemented
10C22⋊C8×Dic83C211yesmaximal, characteristic, complemented
11C83×#1797C211yesmaximal, characteristic, complemented
12C23×C4×D83C2211yescharacteristic
13C2×#14581749—28no—
14C2×#14581749C411yescharacteristic
15C2×#14581749C411yescharacteristic
16C2×#14581749C411yescharacteristic
17C2×#14581749C411yescharacteristic
18C2×#14581749C2211yescharacteristic
19C2×#14581749C2211yescharacteristic
20C2×#14581749C2211yescharacteristic
21C2×#14581749C2211yescharacteristic
22C22×Dic83⋊C4C411yescharacteristic
23C22×Dic83⋊C4C411yescharacteristic
24C22×(C2×D83)⋊C4C411yescharacteristic
25C22×(C2×D83)⋊C4C411yescharacteristic
26C22×C4×Dic83C2211yescharacteristic
27#19127761—28no—
28C2×C4⋊(C83⋊C8)C2212yescomplemented
29C2×C22⋊(C83⋊C8)C2211yescharacteristic
30C2×C22⋊(C83⋊C8)C2211yescharacteristic
31C2×(C2×D83)⋊C8C2212yes—
32C2×(C2×D83)⋊C8C2212yes—
33C2×(C2×D83)⋊C8C2212yes—
34C2×(C2×D83)⋊C8C2212yes—
35C2×#14581702C2212yescomplemented
36C2×C8×Dic83C2212yescomplemented
37#19127456C2212yescomplemented
38#19127455C2212yescomplemented
39#19127455C2212yescomplemented
40C22×C42×C83C2211yescharacteristic
41C2×C4⋊C8×C83C2212yescomplemented
42C2×C22⋊C8×C83C2211yescharacteristic
43C2×C22⋊C8×C83C2211yescharacteristic
44#336×C83C2212yescomplemented
45C24×D83C2×C411yescharacteristic
46C23×Dic83C2×C411yescharacteristic
47C23×Dic83C2×C411yescharacteristic
48C23×Dic83C2×C411yescharacteristic
49C22×C4×D83—24no—
50C22×C4×D83—24no—
51C22×C4×D83—22no—
52C22×C4×D83—22no—
53C22×C4×D83C2×C411yescharacteristic
54C22×C4×D83C2×C411yescharacteristic
55C22×C4×D83C2311yescharacteristic
56C22×C4×D83C2311yescharacteristic
57C22×C83⋊C8C2312yes—
58C22×C83⋊C8C2312yes—
59#14581749—24no—
60#14581749—24no—
61#14581749—24no—
62#14581749—24no—
63#14581749—24no—
64#14581749—24no—
65#14581749—24no—
66#14581749D418yes—
67C2×Dic83⋊C4—24no—
68C2×Dic83⋊C4—24no—
69C2×Dic83⋊C4C2×C411yescharacteristic
70C2×Dic83⋊C4C2×C411yescharacteristic
71C2×Dic83⋊C4C2×C411yescharacteristic
72C2×Dic83⋊C4C2×C411yescharacteristic
73C2×Dic83⋊C4C2×C411yescharacteristic
74C2×Dic83⋊C4C2×C411yescharacteristic
75C2×Dic83⋊C4C2×C411yescharacteristic
76C2×Dic83⋊C4C2×C411yescharacteristic
77C2×(C2×D83)⋊C4—24no—
78C2×(C2×D83)⋊C4—24no—
79C2×(C2×D83)⋊C4C2×C411yescharacteristic
80C2×(C2×D83)⋊C4C2×C411yescharacteristic
81C2×(C2×D83)⋊C4C2×C411yescharacteristic
82C2×(C2×D83)⋊C4C2×C411yescharacteristic
83C2×(C2×D83)⋊C4C2×C411yescharacteristic
84C2×(C2×D83)⋊C4C2×C411yescharacteristic
85C2×(C2×D83)⋊C4C2×C411yescharacteristic
86C2×(C2×D83)⋊C4C2×C411yescharacteristic
87C2×C4×Dic83—24no—
88C2×C4×Dic83C2×C411yescharacteristic
89C2×C4×Dic83C2×C411yescharacteristic
90C2×C4×Dic83C2311yescharacteristic
91C2×C4×Dic83C2311yescharacteristic
92C4⋊(C83⋊C8)—24no—
93C22⋊(C83⋊C8)—22no—
94C22⋊(C83⋊C8)—22no—
95(C2×D83)⋊C8—24no—
96(C2×D83)⋊C8—24no—
97(C2×D83)⋊C8—24no—
98(C2×D83)⋊C8—24no—
99#14581702—24no—
100C8×Dic83—24no—
101C23×C4×C83C2×C411yescharacteristic
102C23×C4×C83C2×C411yescharacteristic
103C23×C4×C83C2311yescharacteristic
104C22×C8×C83C2312yes—
105C22×C8×C83C2312yes—
106C2×C42×C83—24no—
107C2×C42×C83C2×C411yescharacteristic
108C2×C42×C83C2×C411yescharacteristic
109C2×C42×C83C2311yescharacteristic
110C2×C42×C83C2311yescharacteristic
111C4⋊C8×C83—24no—
112C22⋊C8×C83—22no—
113C22⋊C8×C83—22no—
114C23×D83—22no—
115C23×D83—22no—
116C23×D83—22no—
117C23×D83—22no—
118C23×D83—22no—
119C23×D83—41no—
120C23×D83—41no—
121C23×D83C22×C411yescharacteristic
122C23×D83C22×C411yescharacteristic
123C22×Dic83—22no—
124C22×Dic83—22no—
125C22×Dic83—22no—
126C22×Dic83—22no—
127C22×Dic83—22no—
128C22×Dic83—22no—
129C22×Dic83—22no—
130C22×Dic83—41no—
131C22×Dic83—41no—
132C22×Dic83C22×C411yescharacteristic
133C22×Dic83C22×C411yescharacteristic
134C22×Dic83C22×C411yescharacteristic
135C22×Dic83C22×C411yescharacteristic
136C22×Dic83C22×C411yescharacteristic
137C22×Dic83C22×C411yescharacteristic
138C2×C4×D83—216no—
139C2×C4×D83—216no—
140C2×C4×D83—22no—
141C2×C4×D83—22no—
142C2×C4×D83—22no—
143C2×C4×D83—22no—
144C2×C4×D83—22no—
145C2×C4×D83—22no—
146C2×C4×D83—21no—
147C2×C4×D83—21no—
148C2×C4×D83—21no—
149C2×C4×D83—21no—
150C2×C4×D83—22no—
151C2×C4×D83—22no—
152C2×C4×D83C2×D414yes—
153C2×C4×D83#4114yes—
154C2×C83⋊C8—22no—
155C2×C83⋊C8—22no—
156C2×C83⋊C8—22no—
157C2×C83⋊C8—22no—
158C2×C83⋊C8—22no—
159C2×C83⋊C8—22no—
160Dic83⋊C4—22no—
161Dic83⋊C4—22no—
162Dic83⋊C4—22no—
163Dic83⋊C4—22no—
164Dic83⋊C4—22no—
165Dic83⋊C4—22no—
166Dic83⋊C4C22⋊C414yes—
167Dic83⋊C4C22⋊C414yes—
168(C2×D83)⋊C4—22no—
169(C2×D83)⋊C4—22no—
170(C2×D83)⋊C4—22no—
171(C2×D83)⋊C4—22no—
172(C2×D83)⋊C4—22no—
173(C2×D83)⋊C4—22no—
174(C2×D83)⋊C4C22⋊C414yes—
175(C2×D83)⋊C4C22⋊C414yes—
176C4×Dic83—22no—
177C4×Dic83—22no—
178C4×Dic83—22no—
179C4×Dic83C2×D414yes—
180C24×C83C22×C411yescharacteristic
181C22×C4×C83—22no—
182C22×C4×C83—22no—
183C22×C4×C83—22no—
184C22×C4×C83—22no—
185C22×C4×C83—22no—
186C22×C4×C83—22no—
187C22×C4×C83—41no—
188C22×C4×C83—41no—
189C22×C4×C83C22×C411yescharacteristic
190C22×C4×C83C22×C411yescharacteristic
191C22×C4×C83C22×C411yescharacteristic
192C22×C4×C83C22×C411yescharacteristic
193C22×C4×C83C22×C411yescharacteristic
194C22×C4×C83#4112yes—
195C22×C4×C83#4112yes—
196C22×C4×C83C2411yescharacteristic
197C2×C8×C83—22no—
198C2×C8×C83—22no—
199C2×C8×C83—22no—
200C2×C8×C83—22no—
201C2×C8×C83—22no—
202C2×C8×C83—22no—
203C42×C83—22no—
204C42×C83—22no—
205C42×C83—22no—
206C42×C83C2×D414yes—
207C23×C83—21no—
208C23×C83—21no—
209C23×C83—21no—
210C23×C83—21no—
211C23×C83#11712yes—
212C23×C83#13112yes—
213C23×C83#13112yes—
214C23×C83C23×C411yescharacteristic
215C22×D83—28no—
216C22×D83—21no—
217C22×D83—21no—
218C22×D83—21no—
219C22×D83—21no—
220C22×D83—21no—
221C22×D83—21no—
222C22×D83—21no—
223C22×D83—21no—
224C22×D83—21no—
225C22×D83—21no—
226C22×D83—21no—
227C22×D83—21no—
228C22×D83—44no—
229C22×D83—44no—
230C22×D83—44no—
231C22×D83—44no—
232C22×D83—44no—
233C22×D83—44no—
234C22×D83C2×C22⋊C412yes—
235C22×D83#11712yes—
236C2×C4×C83—21no—
237C2×C4×C83—21no—
238C2×C4×C83—21no—
239C2×C4×C83—21no—
240C2×C4×C83—21no—
241C2×C4×C83—21no—
242C2×C4×C83—24no—
243C2×C4×C83—24no—
244C2×C4×C83—21no—
245C2×C4×C83—21no—
246C2×C4×C83—21no—
247C2×C4×C83—21no—
248C2×C4×C83—21no—
249C2×C4×C83—21no—
250C2×C4×C83—44no—
251C2×C4×C83—44no—
252C2×C4×C83C2×C22⋊C412yes—
253C2×C4×C83C2×C22⋊C412yes—
254C2×C4×C83#11712yes—
255C2×C4×C83C22×D412yes—
256C2×C4×C83C2×#4112yes—
257C2×C4×C83C2×#4111yescharacteristic
258C2×C4×C83C2×#4111yescharacteristic
259C2×Dic83—28no—
260C2×Dic83—21no—
261C2×Dic83—21no—
262C2×Dic83—21no—
263C2×Dic83—21no—
264C2×Dic83—21no—
265C2×Dic83—21no—
266C2×Dic83—21no—
267C2×Dic83—21no—
268C2×Dic83—21no—
269C2×Dic83—21no—
270C2×Dic83—21no—
271C2×Dic83—21no—
272C2×Dic83—21no—
273C2×Dic83—21no—
274C2×Dic83—44no—
275C2×Dic83—44no—
276C2×Dic83C2×C22⋊C412yes—
277C2×Dic83C2×C22⋊C412yes—
278C2×Dic83C2×C22⋊C412yes—
279C2×Dic83#11712yes—
280C4×D83—28no—
281C4×D83—28no—
282C4×D83—24no—
283C4×D83—24no—
284C4×D83—24no—
285C4×D83—24no—
286C8×C83—42no—
287C8×C83—42no—
288C83⋊C8—42no—
289C83⋊C8—42no—
290C22×C83—22no—
291C22×C83—22no—
292C22×C83—22no—
293C22×C83—22no—
294C22×C83—22no—
295C22×C83—22no—
296C22×C83#43314yescomplemented
297C22×C83C22×C22⋊C411yescharacteristic
298C22×C83C2×#11711yescharacteristic
299C22×C83C2×#11711yescharacteristic
300C22×C83C2×#13111yescharacteristic
301C22×C83C2×#13111yescharacteristic
302C22×C83#56811yescharacteristic
303C22×C83#56811yescharacteristic
304C2×D83—22no—
305C2×D83—22no—
306C2×D83—22no—
307C2×D83—22no—
308C2×D83—22no—
309C2×D83—22no—
310C2×D83—416no—
311C2×D83—41no—
312C2×D83—41no—
313C2×D83—41no—
314C2×D83—41no—
315C2×D83—41no—
316C2×D83—41no—
317C2×D83—41no—
318C2×D83—41no—
319C4×C83—22no—
320C4×C83—22no—
321C4×C83—22no—
322C4×C83—41no—
323C4×C83—41no—
324C4×C83#52512yes—
325C4×C83#52512yes—
326Dic83—22no—
327Dic83—22no—
328Dic83—22no—
329Dic83—22no—
330Dic83—41no—
331Dic83—41no—
332#20716—831nomaximal, Sylow
333C2×C83—24no—
334C2×C83#228011yescharacteristic
335C2×C83#288011yescharacteristic
336C2×C83#288011yescharacteristic
337C2×C83C2×#43311yescharacteristic
338C2×C83#292111yescharacteristic
339C2×C83#292411yescharacteristic
340C2×C83#292411yescharacteristic
341D83—42no—
342D83—42no—
343C22×#117—831no—
344C2×#433—832no—
345#1818—832no—
346#1798—832no—
347#1797—831no—
348#1797D8311yescharacteristic, complemented
349#1779—831no—
350#1779—831no—
351#1750—832no—
352#1749—831no—
353C4×C22⋊C8—831no—
354C83#2071611yescharacteristic, complemented, Sylow
355C24×C4—831no—
356C2×#117—831no—
357C2×#117—831no—
358C2×#117—831no—
359C2×#117—831no—
360C2×#117—831no—
361C2×#117—831no—
362C2×#117—831no—
363C2×#117—831no—
364C2×#117—1668no—
365C22×C4⋊C4—831no—
366C22×C4⋊C4—831no—
367C22×C22⋊C4—831no—
368C22×C22⋊C4—831no—
369C22×C42—831no—
370C22×C42C2×D8311yescharacteristic
371#433—1668no—
372C2×C4⋊C8—832no—
373C2×C4⋊C8C2×D8312yescomplemented
374C2×C22⋊C8—831no—
375C2×C22⋊C8—831no—
376C2×C22⋊C8—832no—
377C2×C22⋊C8—832no—
378C2×C22⋊C8—832no—
379C2×C22⋊C8—832no—
380C2×C22⋊C8C2×D8311yescharacteristic
381C2×C22⋊C8C2×D8311yescharacteristic
382C2×#97—832no—
383C2×C4×C8—832no—
384#336—832no—
385#336—832no—
386#336—832no—
387#336C2×D8312yescomplemented
388C25—831no—
389C23×C4—831no—
390C23×C4—831no—
391C23×C4—831no—
392C23×C4—831no—
393C23×C4—831no—
394C23×C4—831no—
395C23×C4—831no—
396C23×C4—1664no—
397C23×C4—1664no—
398C23×C4—1662no—
399C23×C4—1662no—
400C23×C4C4×D8311yescharacteristic
401C23×C4C4×D8311yescharacteristic
402C23×C4C22×D8311yescharacteristic
403C22×C8—832no—
404C22×C8—832no—
405C22×C8C22×D8312yes—
406C22×C8C22×D8312yes—
407#117—838no—
408#117—1664no—
409#117—1664no—
410#117—1664no—
411#117—1664no—
412#117—1664no—
413#117—1664no—
414#117—1664no—
415C2×C4⋊C4—831no—
416C2×C4⋊C4—831no—
417C2×C4⋊C4—831no—
418C2×C4⋊C4—831no—
419C2×C4⋊C4—831no—
420C2×C4⋊C4—831no—
421C2×C4⋊C4—831no—
422C2×C4⋊C4—831no—
423C2×C4⋊C4—1664no—
424C2×C4⋊C4—1664no—
425C2×C22⋊C4—831no—
426C2×C22⋊C4—831no—
427C2×C22⋊C4—831no—
428C2×C22⋊C4—831no—
429C2×C22⋊C4—831no—
430C2×C22⋊C4—831no—
431C2×C22⋊C4—831no—
432C2×C22⋊C4—831no—
433C2×C22⋊C4—1664no—
434C2×C22⋊C4—1664no—
435C2×C42—24no—
436C2×C42—831no—
437C2×C42—831no—
438C2×C42—831no—
439C2×C42—831no—
440C2×C42—1664no—
441C2×C42C4×D8311yescharacteristic
442C2×C42C4×D8311yescharacteristic
443C2×C42C22×D8311yescharacteristic
444C2×C42C22×D8311yescharacteristic
445C4⋊C8—24no—
446C4⋊C8—1664no—
447C22⋊C8—22no—
448C22⋊C8—22no—
449C22⋊C8—1664no—
450C22⋊C8—1664no—
451C22⋊C8—1664no—
452C22⋊C8—1664no—
453C22⋊C8—1662no—
454C22⋊C8—1662no—
455#97—1664no—
456C4×C8—1664no—
457C24—3321no—
458C24—3321no—
459C24—831no—
460C24—831no—
461C24—1662no—
462C24—1662no—
463C24—1662no—
464C24—1662no—
465C24—1662no—
466C24C2×C4×D8311yescharacteristic
467C22×C4—22no—
468C22×C4—22no—
469C22×C4—22no—
470C22×C4—22no—
471C22×C4—22no—
472C22×C4—22no—
473C22×C4—41no—
474C22×C4—41no—
475C22×C4—3321no—
476C22×C4—3321no—
477C22×C4—831no—
478C22×C4—831no—
479C22×C4—831no—
480C22×C4—831no—
481C22×C4—834no—
482C22×C4—834no—
483C22×C4—831no—
484C22×C4—831no—
485C22×C4—1662no—
486C22×C4—1662no—
487C22×C4—1662no—
488C22×C4—1662no—
489C22×C4—16616no—
490C22×C4—16616no—
491C22×C4—1662no—
492C22×C4—1662no—
493C22×C4—1662no—
494C22×C4—1662no—
495C22×C4—1662no—
496C22×C4—1662no—
497C22×C4—1662no—
498C22×C4—1662no—
499C22×C4—1662no—
500C22×C4—1661no—
501C22×C4—1661no—
502C22×C4—1661no—
503C22×C4—1661no—
504C22×C4—1662no—
505C22×C4—1662no—
506C22×C4C2×C4×D8311yescharacteristic
507C22×C4C2×C4×D8311yescharacteristic
508C22×C4C2×C4×D8311yescharacteristic
509C22×C4C2×C4×D8311yescharacteristic
510C22×C4C2×C4×D8311yescharacteristic
511C22×C4#1305058912yes—
512C22×C4#1305059112yes—
513C22×C4C23×D8311yescharacteristic
514C2×C8—22no—
515C2×C8—22no—
516C2×C8—22no—
517C2×C8—22no—
518C2×C8—22no—
519C2×C8—22no—
520C2×C8—1662no—
521C2×C8—1662no—
522C2×C8—1662no—
523C2×C8—1662no—
524C2×C8—1662no—
525C2×C8—1662no—
526C4⋊C4—834no—
527C4⋊C4—834no—
528C4⋊C4—1662no—
529C4⋊C4—1662no—
530C4⋊C4—1662no—
531C4⋊C4—1662no—
532C4⋊C4—1662no—
533C4⋊C4—1662no—
534C22⋊C4—834no—
535C22⋊C4—834no—
536C22⋊C4—1662no—
537C22⋊C4—1662no—
538C22⋊C4—1662no—
539C22⋊C4—1662no—
540C22⋊C4—1662no—
541C22⋊C4—1662no—
542C42—22no—
543C42—22no—
544C42—22no—
545C42—834no—
546C42—1662no—
547C42—1662no—
548C42—1662no—
549C42D4×D8314yes—
550C23—21no—
551C23—21no—
552C23—21no—
553C23—21no—
554C23—3324no—
555C23—3324no—
556C23—3324no—
557C23—3324no—
558C23—3324no—
559C23—3324no—
560C23—832no—
561C23—832no—
562C23—1668no—
563C23—1661no—
564C23—1661no—
565C23—1661no—
566C23—1661no—
567C23—1661no—
568C23—1661no—
569C23—1661no—
570C23—1661no—
571C23—1661no—
572C23—1661no—
573C23—1661no—
574C23—1661no—
575C23#1458175012yes—
576C23#1458179812yes—
577C23#1458180012yes—
578C23C22×C4×D8311yescharacteristic
579C2×C4—21no—
580C2×C4—21no—
581C2×C4—21no—
582C2×C4—21no—
583C2×C4—21no—
584C2×C4—21no—
585C2×C4—24no—
586C2×C4—24no—
587C2×C4—21no—
588C2×C4—21no—
589C2×C4—21no—
590C2×C4—21no—
591C2×C4—21no—
592C2×C4—21no—
593C2×C4—44no—
594C2×C4—44no—
595C2×C4—3324no—
596C2×C4—3324no—
597C2×C4—832no—
598C2×C4—832no—
599C2×C4—832no—
600C2×C4—832no—
601C2×C4—1668no—
602C2×C4—1668no—
603C2×C4—1661no—
604C2×C4—1661no—
605C2×C4—1661no—
606C2×C4—1661no—
607C2×C4—1661no—
608C2×C4—1661no—
609C2×C4—1668no—
610C2×C4—1661no—
611C2×C4—1661no—
612C2×C4—1661no—
613C2×C4—1661no—
614C2×C4—1661no—
615C2×C4—1661no—
616C2×C4—1661no—
617C2×C4—1661no—
618C2×C4—1664no—
619C2×C4—1664no—
620C2×C4—1664no—
621C2×C4—1664no—
622C2×C4C22⋊C4×D8312yes—
623C2×C4C22⋊C4×D8312yes—
624C2×C4#1458175012yes—
625C2×C4C2×D4×D8312yes—
626C2×C4#41×D8312yes—
627C2×C4C2×#1305058911yescharacteristic
628C2×C4C2×#1305059111yescharacteristic
629C8—42no—
630C8—42no—
631C8—3322no—
632C8—3322no—
633C22—22no—
634C22—22no—
635C22—22no—
636C22—22no—
637C22—22no—
638C22—22no—
639C22—33216no—
640C22—3321no—
641C22—3321no—
642C22—3321no—
643C22—3321no—
644C22—3321no—
645C22—3321no—
646C22—3321no—
647C22—3321no—
648C22—1662no—
649C22—1662no—
650C22—1662no—
651C22—1662no—
652C22—1662no—
653C22—1662no—
654C22#1912776114yescomplemented
655C22C2×C22⋊C4×D8311yescharacteristic
656C22#117×D8311yescharacteristic
657C22C2×#1458175011yescharacteristic
658C22C2×#1458179811yescharacteristic
659C22C2×#1458180011yescharacteristic
660C22#1912846711yescharacteristic
661C22#1912846711yescharacteristic
662C4—22no—
663C4—22no—
664C4—22no—
665C4—41no—
666C4—41no—
667C4—3321no—
668C4—3321no—
669C4—1662no—
670C4—1662no—
671C4—1662no—
672C4—1662no—
673C4#1912821112yes—
674C4#1912821412yes—
675C2—24no—
676C2—3322no—
677C2—3322no—
678C2#2490984511yescharacteristic
679C2#2491590911yescharacteristic
680C2#2491591311yescharacteristic
681C2C2×#1912776111yescharacteristic
682C2#2491610011yescharacteristic
683C2#2491611611yescharacteristic
684C2#2491612211yescharacteristic
subgroupG/H
center, FrattiniC22×C4C23×D83
commutator, socleC23×C83C23×C4
FittingC83×#1797C2
prime radicalC24×D83C2×C4
cosocleC22×C4×C83C24
hypercenter#1797D83
hypocenterC83#20716
LCSG ▷ C23×C83 ▷ C83
UCSC1 ◁ C22×C4 ◁ #1797

Complements

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

NH ≅ G/Ntype
2. C2×#19127761C2semidirect
3. #24907533C2semidirect
4. #24907444C2semidirect
5. #24907443C2semidirect
8. #24907228C2semidirect
9. #24907227C2semidirect
10. C22⋊C8×Dic83C2semidirect
11. C83×#1797C2semidirect
28. C2×C4⋊(C83⋊C8)C22semidirect
35. C2×#14581702C22semidirect
36. C2×C8×Dic83C22semidirect
37. #19127456C22semidirect
38. #19127455C22semidirect
39. #19127455C22semidirect
41. C2×C4⋊C8×C83C22semidirect
44. #336×C83C22semidirect
296. C22×C83#433semidirect
348. #1797D83semidirect
354. C83#20716semidirect
373. C2×C4⋊C8C2×D83semidirect
387. #336C2×D83semidirect
654. C22#19127761semidirect

Maximal subgroups

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

subgroupindex
C22×#145817492
C2×#191277612
#249075332
#249074442
#249074432
#249073722
#249072282
#249072272
C22⋊C8×Dic832
C83×#17972
#2071683