Finite Group Databasebeta

← #35404302

Subgroups — #35404302

Order 21248.

1426 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×#117×D83C211yesmaximal, characteristic
2C2×#19127757C211yesmaximal, characteristic, complemented
3C2×#19127753C211yesmaximal, characteristic, complemented
4#24907530C212yesmaximal, complemented
5#24907447C211yesmaximal, characteristic, complemented
6#24907444C211yesmaximal, characteristic, complemented
7#24907444C211yesmaximal, characteristic, complemented
8#24907372C212yesmaximal
9#24907231C212yesmaximal, complemented
10#24907228C212yesmaximal, complemented
11C83×#1798C211yesmaximal, characteristic, complemented
12C23×C4×D83C2211yescharacteristic
13C2×#14581751C2211yescharacteristic
14C2×#14581750C411yescharacteristic
15C2×#14581750C411yescharacteristic
16C2×#14581749C2211yescharacteristic
17C2×#14581749C2211yescharacteristic
18C2×#14581748C411yescharacteristic
19C2×#14581748C411yescharacteristic
20#117×D83—24no—
21#117×D83—24no—
22C2×C4⋊C4×D83C411yescharacteristic
23C2×C4⋊C4×D83C411yescharacteristic
24C2×C22⋊C4×D83C411yescharacteristic
25C2×C22⋊C4×D83C411yescharacteristic
26C2×C42×D83C2211yescharacteristic
27C2×C42×D83C2211yescharacteristic
28#19127757—24no—
29#19127753—24no—
30C2×C4⋊(C83⋊C8)C2211yescharacteristic, complemented
31C2×C4⋊(C83⋊C8)C2211yescharacteristic, complemented
32C2×C22⋊(C83⋊C8)C2212yes—
33C2×(C2×D83)⋊C8C2212yes—
34C2×(C2×D83)⋊C8C2212yes—
35C2×(C2×D83)⋊C8C2212yes—
36C2×(C2×D83)⋊C8C2212yes—
37C2×#14581702C2212yescomplemented
38C2×C8×Dic83C2212yescomplemented
39#19127456C2212yescomplemented
40#19127455C2212yescomplemented
41#19127455C2212yescomplemented
42C2×#117×C83C2211yescharacteristic
43C2×C4⋊C8×C83C2211yescharacteristic, complemented
44C2×C4⋊C8×C83C2211yescharacteristic, complemented
45C2×C22⋊C8×C83C2212yes—
46#336×C83C2212yescomplemented
47C24×D83C2×C411yescharacteristic
48C23×Dic83C2×C411yescharacteristic
49C22×C4×D83—22no—
50C22×C4×D83—22no—
51C22×C4×D83—22no—
52C22×C4×D83—22no—
53C22×C4×D83—22no—
54C22×C4×D83—22no—
55C22×C4×D83C2×C411yescharacteristic
56C22×C4×D83C2×C411yescharacteristic
57C22×C4×D83C2×C411yescharacteristic
58C22×C4×D83C2×C411yescharacteristic
59C22×C4×D83C2×C411yescharacteristic
60C22×C4×D83C2×C411yescharacteristic
61C22×C4×D83C2311yescharacteristic
62C22×C4×D83C2311yescharacteristic
63C22×C83⋊C8C2312yes—
64C22×C83⋊C8C2312yes—
65#14581751—22no—
66#14581751—22no—
67#14581750—24no—
68#14581750—24no—
69#14581749—22no—
70#14581749—22no—
71#14581749—22no—
72#14581749—22no—
73#14581748—24no—
74#14581748—24no—
75C2×C4⋊Dic83C2×C411yescharacteristic
76C2×C4⋊Dic83C2×C411yescharacteristic
77C2×Dic83⋊C4C2×C411yescharacteristic
78C2×Dic83⋊C4C2×C411yescharacteristic
79C2×Dic83⋊C4C2×C411yescharacteristic
80C2×Dic83⋊C4C2×C411yescharacteristic
81C4⋊C4×D83—24no—
82C4⋊C4×D83—24no—
83C2×C22⋊Dic83C2×C411yescharacteristic
84C2×C22⋊Dic83C2×C411yescharacteristic
85C2×(C2×D83)⋊C4C2×C411yescharacteristic
86C2×(C2×D83)⋊C4C2×C411yescharacteristic
87C2×(C2×D83)⋊C4C2×C411yescharacteristic
88C2×(C2×D83)⋊C4C2×C411yescharacteristic
89C22⋊C4×D83—24no—
90C22⋊C4×D83—24no—
91C2×C4×Dic83C2×C411yescharacteristic
92C2×C4×Dic83C2×C411yescharacteristic
93C2×C4×Dic83C2×C411yescharacteristic
94C2×C4×Dic83C2×C411yescharacteristic
95C2×C4×Dic83C2311yescharacteristic
96C2×C4×Dic83C2311yescharacteristic
97C42×D83—22no—
98C42×D83—22no—
99C42×D83D414yes—
100C42×D83D414yes—
101C4⋊(C83⋊C8)—22no—
102C4⋊(C83⋊C8)—22no—
103C22⋊(C83⋊C8)—24no—
104(C2×D83)⋊C8—24no—
105(C2×D83)⋊C8—24no—
106(C2×D83)⋊C8—24no—
107(C2×D83)⋊C8—24no—
108#14581702—24no—
109C8×Dic83—24no—
110C23×C4×C83C2311yescharacteristic
111C22×C8×C83C2312yes—
112C22×C8×C83C2312yes—
113#117×C83—22no—
114#117×C83—22no—
115C2×C4⋊C4×C83C2×C411yescharacteristic
116C2×C4⋊C4×C83C2×C411yescharacteristic
117C2×C22⋊C4×C83C2×C411yescharacteristic
118C2×C22⋊C4×C83C2×C411yescharacteristic
119C2×C42×C83C2311yescharacteristic
120C2×C42×C83C2311yescharacteristic
121C4⋊C8×C83—22no—
122C4⋊C8×C83—22no—
123C22⋊C8×C83—24no—
124C23×D83—22no—
125C23×D83—22no—
126C23×D83—22no—
127C23×D83—24no—
128C23×D83—42no—
129C23×D83C22×C411yescharacteristic
130C23×D83C22×C411yescharacteristic
131C22×Dic83—22no—
132C22×Dic83—22no—
133C22×Dic83—22no—
134C22×Dic83C22×C411yescharacteristic
135C22×Dic83C22×C411yescharacteristic
136C22×Dic83C22×C411yescharacteristic
137C22×Dic83C22×C411yescharacteristic
138C22×Dic83C22×C411yescharacteristic
139C22×Dic83C22×C411yescharacteristic
140C2×C4×D83—28no—
141C2×C4×D83—28no—
142C2×C4×D83—28no—
143C2×C4×D83—28no—
144C2×C4×D83—22no—
145C2×C4×D83—22no—
146C2×C4×D83—24no—
147C2×C4×D83—22no—
148C2×C4×D83—22no—
149C2×C4×D83—21no—
150C2×C4×D83—21no—
151C2×C4×D83—21no—
152C2×C4×D83—21no—
153C2×C4×D83—21no—
154C2×C4×D83—21no—
155C2×C4×D83—21no—
156C2×C4×D83—21no—
157C2×C4×D83—22no—
158C2×C4×D83—22no—
159C2×C4×D83—22no—
160C2×C4×D83—22no—
161C2×C4×D83—24no—
162C2×C4×D83—42no—
163C2×C4×D83—42no—
164C2×C4×D83C22⋊C414yes—
165C2×C4×D83C22⋊C414yes—
166C2×C4×D83C2×D412yes—
167C2×C4×D83C2×D412yes—
168C2×C4×D83#4112yes—
169C2×C4×D83#4112yes—
170C2×C83⋊C8—22no—
171C2×C83⋊C8—22no—
172C2×C83⋊C8—22no—
173C2×C83⋊C8—22no—
174C2×C83⋊C8—22no—
175C2×C83⋊C8—22no—
176C4⋊Dic83—22no—
177C4⋊Dic83—22no—
178Dic83⋊C4—22no—
179Dic83⋊C4—22no—
180Dic83⋊C4—22no—
181Dic83⋊C4—22no—
182C22⋊Dic83—22no—
183C22⋊Dic83—22no—
184(C2×D83)⋊C4—22no—
185(C2×D83)⋊C4—22no—
186(C2×D83)⋊C4—22no—
187(C2×D83)⋊C4—22no—
188C4×Dic83—21no—
189C4×Dic83—21no—
190C4×Dic83—22no—
191C4×Dic83—22no—
192C4×Dic83C22⋊C414yes—
193C4×Dic83C22⋊C414yes—
194C4×Dic83C2×D412yes—
195C4×Dic83C2×D412yes—
196C24×C83C22×C411yescharacteristic
197C22×C4×C83—21no—
198C22×C4×C83—21no—
199C22×C4×C83—21no—
200C22×C4×C83—21no—
201C22×C4×C83C22×C411yescharacteristic
202C22×C4×C83C22×C411yescharacteristic
203C22×C4×C83C22×C411yescharacteristic
204C22×C4×C83C22×C411yescharacteristic
205C22×C4×C83C22×C411yescharacteristic
206C22×C4×C83#4112yes—
207C22×C4×C83#4112yes—
208C22×C4×C83C2411yescharacteristic
209C2×C8×C83—22no—
210C2×C8×C83—22no—
211C2×C8×C83—22no—
212C2×C8×C83—22no—
213C2×C8×C83—22no—
214C2×C8×C83—22no—
215C4⋊C4×C83—22no—
216C4⋊C4×C83—22no—
217C22⋊C4×C83—22no—
218C22⋊C4×C83—22no—
219C42×C83—21no—
220C42×C83—21no—
221C42×C83C2×D412yes—
222C42×C83C2×D412yes—
223C23×C83—21no—
224C23×C83—21no—
225C23×C83—22no—
226C23×C83—22no—
227C23×C83#11712yes—
228C23×C83C23×C411yescharacteristic
229C22×D83—21no—
230C22×D83—21no—
231C22×D83—22no—
232C22×D83—28no—
233C22×D83—21no—
234C22×D83—21no—
235C22×D83—22no—
236C22×D83—22no—
237C22×D83—48no—
238C22×D83—48no—
239C22×D83—44no—
240C22×D83—44no—
241C22×D83C2×C22⋊C412yes—
242C22×D83#11712yes—
243C22×D83#13114yes—
244C2×C4×C83—21no—
245C2×C4×C83—21no—
246C2×C4×C83—22no—
247C2×C4×C83—22no—
248C2×C4×C83—22no—
249C2×C4×C83—22no—
250C2×C4×C83—22no—
251C2×C4×C83—22no—
252C2×C4×C83—21no—
253C2×C4×C83—21no—
254C2×C4×C83—22no—
255C2×C4×C83—22no—
256C2×C4×C83C2×C22⋊C412yes—
257C2×C4×C83C2×C22⋊C412yes—
258C2×C4×C83#11712yes—
259C2×C4×C83C22×D411yescharacteristic
260C2×C4×C83C22×D411yescharacteristic
261C2×C4×C83C2×#4111yescharacteristic
262C2×C4×C83C2×#4111yescharacteristic
263C2×C4×C83C2×#4111yescharacteristic
264C2×C4×C83C2×#4111yescharacteristic
265C2×Dic83—28no—
266C2×Dic83—21no—
267C2×Dic83—21no—
268C2×Dic83—21no—
269C2×Dic83—21no—
270C2×Dic83—22no—
271C2×Dic83—22no—
272C2×Dic83—21no—
273C2×Dic83—21no—
274C2×Dic83—22no—
275C2×Dic83—22no—
276C2×Dic83C2×C22⋊C412yes—
277C2×Dic83C2×C22⋊C412yes—
278C2×Dic83C2×C22⋊C412yes—
279C2×Dic83#11712yes—
280C4×D83—28no—
281C4×D83—28no—
282C4×D83—28no—
283C4×D83—22no—
284C4×D83—22no—
285C4×D83—22no—
286C4×D83—22no—
287C4×D83—22no—
288C4×D83—22no—
289C4×D83—22no—
290C4×D83—22no—
291C4×D83—44no—
292C4×D83—44no—
293C4×D83—44no—
294C8×C83—42no—
295C8×C83—42no—
296C83⋊C8—42no—
297C83⋊C8—42no—
298C22×C83—24no—
299C22×C83—22no—
300C22×C83—41no—
301C22×C83—41no—
302C22×C83—42no—
303C22×C83C22×C22⋊C411yescharacteristic
304C22×C83C2×#11711yescharacteristic
305C22×C83C2×#11711yescharacteristic
306C22×C83C2×#13112yes—
307C22×C83#56812yes—
308C2×D83—22no—
309C2×D83—24no—
310C2×D83—24no—
311C2×D83—22no—
312C2×D83—24no—
313C2×D83—22no—
314C2×D83—416no—
315C2×D83—41no—
316C2×D83—41no—
317C2×D83—42no—
318C2×D83#40814yes—
319C4×C83—22no—
320C4×C83—22no—
321C4×C83—22no—
322C4×C83—41no—
323C4×C83—41no—
324C4×C83#52511yescharacteristic
325C4×C83#52511yescharacteristic
326C4×C83#52511yescharacteristic
327C4×C83#52511yescharacteristic
328Dic83—22no—
329Dic83—22no—
330Dic83—22no—
331Dic83—22no—
332Dic83—41no—
333Dic83—41no—
334#20717—831nomaximal, Sylow
335C2×C83—42no—
336C2×C83#228011yescharacteristic
337C2×C83C2×#40811yescharacteristic
338C2×C83#287911yescharacteristic
339C2×C83#292412yes—
340C2×C83#292412yes—
341D83—24no—
342D83—42no—
343C22×#117—831no—
344C2×#432—831no—
345C2×#431—831no—
346#1817—832no—
347#1798—831no—
348#1798—831no—
349#1798—831no—
350#1798D8311yescharacteristic, complemented
351#1779—832no—
352#1750—832no—
353#1750—832no—
354C83#2071711yescharacteristic, 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—1664no—
364C2×#117—1664no—
365C2×#117C2×D8311yescharacteristic
366C22×C4⋊C4—831no—
367C22×C4⋊C4—831no—
368C22×C22⋊C4—831no—
369C22×C22⋊C4—831no—
370C22×C42—831no—
371C22×C42—831no—
372#432—1664no—
373#431—1664no—
374C2×C4⋊C8—831no—
375C2×C4⋊C8—831no—
376C2×C4⋊C8C2×D8311yescharacteristic, complemented
377C2×C4⋊C8C2×D8311yescharacteristic, complemented
378C2×C22⋊C8—832no—
379C2×C22⋊C8—832no—
380C2×C22⋊C8—832no—
381C2×C22⋊C8—832no—
382C2×C22⋊C8—832no—
383C2×C22⋊C8C2×D8312yes—
384C2×#97—832no—
385C2×C4×C8—832no—
386#336—832no—
387#336—832no—
388#336—832no—
389#336C2×D8312yescomplemented
390C25—831no—
391C23×C4—831no—
392C23×C4—831no—
393C23×C4—831no—
394C23×C4—831no—
395C23×C4—831no—
396C23×C4—831no—
397C23×C4—831no—
398C23×C4—831no—
399C23×C4—831no—
400C23×C4—1662no—
401C23×C4—1662no—
402C23×C4—1662no—
403C23×C4—1662no—
404C23×C4—1662no—
405C23×C4—1662no—
406C23×C4C22×D8311yescharacteristic
407C22×C8—832no—
408C22×C8—832no—
409C22×C8C22×D8312yes—
410C22×C8C22×D8312yes—
411#117—22no—
412#117—22no—
413#117—1662no—
414#117—1662no—
415#117—1664no—
416#117—1664no—
417#117—1664no—
418#117—1664no—
419#117—1662no—
420#117—1662no—
421#117—1662no—
422#117—1662no—
423C2×C4⋊C4—831no—
424C2×C4⋊C4—831no—
425C2×C4⋊C4—831no—
426C2×C4⋊C4—831no—
427C2×C4⋊C4—831no—
428C2×C4⋊C4—831no—
429C2×C4⋊C4—1664no—
430C2×C4⋊C4—1664no—
431C2×C4⋊C4C4×D8311yescharacteristic
432C2×C4⋊C4C4×D8311yescharacteristic
433C2×C22⋊C4—831no—
434C2×C22⋊C4—831no—
435C2×C22⋊C4—831no—
436C2×C22⋊C4—831no—
437C2×C22⋊C4—831no—
438C2×C22⋊C4—831no—
439C2×C22⋊C4—1664no—
440C2×C22⋊C4—1664no—
441C2×C22⋊C4C4×D8311yescharacteristic
442C2×C22⋊C4C4×D8311yescharacteristic
443C2×C42—831no—
444C2×C42—831no—
445C2×C42—831no—
446C2×C42—834no—
447C2×C42—834no—
448C2×C42—831no—
449C2×C42—831no—
450C2×C42—831no—
451C2×C42—1662no—
452C2×C42—1662no—
453C2×C42C22×D8311yescharacteristic
454C2×C42C22×D8311yescharacteristic
455C4⋊C8—22no—
456C4⋊C8—22no—
457C4⋊C8—1662no—
458C4⋊C8—1662no—
459C22⋊C8—24no—
460C22⋊C8—1664no—
461C22⋊C8—1664no—
462C22⋊C8—1664no—
463C22⋊C8—1664no—
464C22⋊C8—1664no—
465#97—1664no—
466C4×C8—1664no—
467C24—3322no—
468C24—831no—
469C24—831no—
470C24—1664no—
471C24—1662no—
472C24—1662no—
473C24—1662no—
474C24C2×C4×D8311yescharacteristic
475C22×C4—21no—
476C22×C4—21no—
477C22×C4—21no—
478C22×C4—21no—
479C22×C4—3322no—
480C22×C4—3322no—
481C22×C4—834no—
482C22×C4—831no—
483C22×C4—831no—
484C22×C4—831no—
485C22×C4—831no—
486C22×C4—832no—
487C22×C4—832no—
488C22×C4—832no—
489C22×C4—832no—
490C22×C4—834no—
491C22×C4—831no—
492C22×C4—831no—
493C22×C4—1662no—
494C22×C4—1662no—
495C22×C4—1664no—
496C22×C4—1662no—
497C22×C4—1662no—
498C22×C4—1662no—
499C22×C4—1662no—
500C22×C4—1664no—
501C22×C4—1668no—
502C22×C4—1668no—
503C22×C4—1668no—
504C22×C4—1668no—
505C22×C4—1662no—
506C22×C4—1662no—
507C22×C4—1662no—
508C22×C4—1661no—
509C22×C4—1661no—
510C22×C4—1661no—
511C22×C4—1661no—
512C22×C4—1661no—
513C22×C4—1661no—
514C22×C4—1661no—
515C22×C4—1661no—
516C22×C4—1662no—
517C22×C4—1662no—
518C22×C4C2×C4×D8311yescharacteristic
519C22×C4C2×C4×D8311yescharacteristic
520C22×C4C2×C4×D8311yescharacteristic
521C22×C4C2×C4×D8311yescharacteristic
522C22×C4C2×C4×D8311yescharacteristic
523C22×C4#1305058912yes—
524C22×C4#1305059112yes—
525C22×C4C23×D8311yescharacteristic
526C2×C8—22no—
527C2×C8—22no—
528C2×C8—22no—
529C2×C8—22no—
530C2×C8—22no—
531C2×C8—22no—
532C2×C8—1662no—
533C2×C8—1662no—
534C2×C8—1662no—
535C2×C8—1662no—
536C2×C8—1662no—
537C2×C8—1662no—
538C4⋊C4—22no—
539C4⋊C4—22no—
540C4⋊C4—1662no—
541C4⋊C4—1662no—
542C4⋊C4—1662no—
543C4⋊C4—1662no—
544C4⋊C4—1662no—
545C4⋊C4—1662no—
546C22⋊C4—22no—
547C22⋊C4—22no—
548C22⋊C4—1662no—
549C22⋊C4—1662no—
550C22⋊C4—1662no—
551C22⋊C4—1662no—
552C22⋊C4—1662no—
553C22⋊C4—1662no—
554C42—21no—
555C42—21no—
556C42—832no—
557C42—832no—
558C42—834no—
559C42—834no—
560C42—1662no—
561C42—1662no—
562C42—1661no—
563C42—1661no—
564C42D4×D8312yes—
565C42D4×D8312yes—
566C23—21no—
567C23—21no—
568C23—22no—
569C23—22no—
570C23—3328no—
571C23—3324no—
572C23—3324no—
573C23—3328no—
574C23—832no—
575C23—834no—
576C23—832no—
577C23—1668no—
578C23—1661no—
579C23—1661no—
580C23—1662no—
581C23—1662no—
582C23—1661no—
583C23—1661no—
584C23—1662no—
585C23#1458175012yes—
586C23C22×C4×D8311yescharacteristic
587C2×C4—21no—
588C2×C4—21no—
589C2×C4—22no—
590C2×C4—22no—
591C2×C4—22no—
592C2×C4—22no—
593C2×C4—22no—
594C2×C4—22no—
595C2×C4—21no—
596C2×C4—21no—
597C2×C4—22no—
598C2×C4—22no—
599C2×C4—3324no—
600C2×C4—3324no—
601C2×C4—3324no—
602C2×C4—832no—
603C2×C4—832no—
604C2×C4—832no—
605C2×C4—832no—
606C2×C4—1668no—
607C2×C4—1668no—
608C2×C4—1668no—
609C2×C4—1661no—
610C2×C4—1661no—
611C2×C4—1662no—
612C2×C4—1662no—
613C2×C4—1668no—
614C2×C4—1661no—
615C2×C4—1661no—
616C2×C4—1661no—
617C2×C4—1661no—
618C2×C4—1662no—
619C2×C4—1662no—
620C2×C4—1662no—
621C2×C4—1662no—
622C2×C4—1662no—
623C2×C4—1662no—
624C2×C4—1662no—
625C2×C4—1662no—
626C2×C4—1662no—
627C2×C4—1662no—
628C2×C4C22⋊C4×D8312yes—
629C2×C4C22⋊C4×D8312yes—
630C2×C4#1458175012yes—
631C2×C4C2×D4×D8311yescharacteristic
632C2×C4C2×D4×D8311yescharacteristic
633C2×C4#41×D8311yescharacteristic
634C2×C4#41×D8311yescharacteristic
635C2×C4C2×#1305058911yescharacteristic
636C2×C4C2×#1305059111yescharacteristic
637C8—42no—
638C8—42no—
639C8—3322no—
640C8—3322no—
641C22—22no—
642C22—24no—
643C22—42no—
644C22—41no—
645C22—41no—
646C22—33216no—
647C22—3322no—
648C22—3321no—
649C22—3321no—
650C22—834no—
651C22—1662no—
652C22—1664no—
653C22—1662no—
654C22—1664no—
655C22—1664no—
656C22—1662no—
657C22C2×C22⋊C4×D8311yescharacteristic
658C22#117×D8311yescharacteristic
659C22C2×#1458175011yescharacteristic
660C22#131×D8312yes—
661C22#1912846612yes—
662C4—22no—
663C4—22no—
664C4—22no—
665C4—41no—
666C4—41no—
667C4—3321no—
668C4—3321no—
669C4—1662no—
670C4—1662no—
671C4—1662no—
672C4—1662no—
673C4#1912821111yescharacteristic
674C4#1912821111yescharacteristic
675C4#1912821411yescharacteristic
676C4#1912821411yescharacteristic
677C2—42no—
678C2—3322no—
679C2—1664no—
680C2#2490984511yescharacteristic
681C2#408×D8311yescharacteristic
682C2#2491590511yescharacteristic
683C2#2491611912yes—
684C2#2491612012yes—
subgroupG/H
center, FrattiniC22×C4C23×D83
commutator, socleC23×C83C23×C4
FittingC83×#1798C2
prime radicalC24×D83C2×C4
cosocleC22×C4×C83C24
hypercenter#1798D83
hypocenterC83#20717
LCSG ▷ C23×C83 ▷ C83
UCSC1 ◁ C22×C4 ◁ #1798

Complements

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

NH ≅ G/Ntype
2. C2×#19127757C2semidirect
3. C2×#19127753C2semidirect
4. #24907530C2semidirect
5. #24907447C2semidirect
6. #24907444C2semidirect
7. #24907444C2semidirect
9. #24907231C2semidirect
10. #24907228C2semidirect
11. C83×#1798C2semidirect
30. C2×C4⋊(C83⋊C8)C22semidirect
31. C2×C4⋊(C83⋊C8)C22semidirect
37. C2×#14581702C22semidirect
38. C2×C8×Dic83C22semidirect
39. #19127456C22semidirect
40. #19127455C22semidirect
41. #19127455C22semidirect
43. C2×C4⋊C8×C83C22semidirect
44. C2×C4⋊C8×C83C22semidirect
46. #336×C83C22semidirect
350. #1798D83semidirect
354. C83#20717semidirect
376. C2×C4⋊C8C2×D83semidirect
377. C2×C4⋊C8C2×D83semidirect
389. #336C2×D83semidirect

Maximal subgroups

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

subgroupindex
C2×#117×D832
C2×#191277572
C2×#191277532
#249075302
#249074472
#249074442
#249073722
#249072312
#249072282
C83×#17982
#2071783