Finite Group Databasebeta

← C2×#24910152 #35563154

Subgroups — C2×#24910152 #35563154

Order 21248.

3934 conjugacy classes of subgroups.

The subgroup lattice has 652 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#14581766C211yesmaximal, characteristic
2C22×#14581754C211yesmaximal, characteristic, complemented
3C22×#14581751C211yesmaximal, characteristic, complemented
4#24910152C2116yesmaximal, direct product factor
5C2×#19127602C211yesmaximal, characteristic, complemented
6C2×#19127601C212yesmaximal, complemented
7C2×#19127597C211yesmaximal, characteristic, complemented
8C2×#19127593C212yesmaximal, complemented
9C2×#19127577C212yesmaximal, complemented
10C2×#19127575C212yesmaximal, complemented
11C2×C4⋊C4×Dic83C211yesmaximal, characteristic, complemented
12C2×#380×C83C211yesmaximal, characteristic, complemented
13C23×D332C2211yescharacteristic
14C23×C22⋊D83C2212yes—
15C23×C4×D83C2212yes—
16C2×#14581766C4116yescomplemented
17C2×#14581766C2218yes—
18C2×#14581754—28no—
19C2×#14581754C2218yescomplemented
20C2×#14581751—28no—
21C2×#14581751C2218yescomplemented
22C22×C4⋊Dic83C2211yescharacteristic
23C22×C4⋊Dic83C2211yescharacteristic
24C22×C4⋊Dic83C2211yescharacteristic
25C22×Dic83⋊C4C2212yes—
26C22×C22⋊Dic83C2211yescharacteristic
27C22×C22⋊Dic83C2211yescharacteristic
28C22×(C2×D83)⋊C4C2212yes—
29C22×(C2×D83)⋊C4C2212yes—
30C22×(C2×D83)⋊C4C2212yes—
31C22×(C2×D83)⋊C4C2212yes—
32C22×C4×Dic83C2211yescharacteristic
33C22×C4×Dic83C2212yes—
34C22×C4×Dic83C2211yescharacteristic
35#19127602C2218yescomplemented
36#19127601C22116yescomplemented
37#19127597C2218yescomplemented
38#19127593C22116yescomplemented
39#19127577C22116yescomplemented
40#19127575C22116yescomplemented
41C4⋊C4×Dic83C2218yescomplemented
42C2×C83⋊#95C2212yes—
43C2×C83⋊#95C2212yes—
44C24×C4×C83C2211yescharacteristic
45C22×C4⋊C4×C83C2211yescharacteristic
46C22×C4⋊C4×C83C2211yescharacteristic
47C22×C22⋊C4×C83C2212yes—
48#380×C83C2218yescomplemented
49C2×#95×C83C2212yes—
50C24×D83C2312yes—
51C22×D332—24no—
52C22×D332—24no—
53C22×D332C2×C418yes—
54C22×D332C2314yes—
55C22×C22⋊D83—44no—
56C22×C22⋊D83—44no—
57C22×C22⋊D83C2×C4116yescomplemented
58C22×C22⋊D83C2318yes—
59C23×Dic83C2311yescharacteristic
60C23×Dic83C2311yescharacteristic
61C23×Dic83C2312yes—
62C23×Dic83C2311yescharacteristic
63C23×Dic83C2311yescharacteristic
64C22×C4×D83—28no—
65C22×C4×D83—44no—
66C22×C4×D83—44no—
67C22×C4×D83C2318yes—
68#14581766C2×C4164yescomplemented
69#14581754—232no—
70#14581751—232no—
71C2×C4⋊Dic83—24no—
72C2×C4⋊Dic83—24no—
73C2×C4⋊Dic83C2×C418yescomplemented
74C2×C4⋊Dic83C2314yes—
75C2×C4⋊Dic83C2314yes—
76C2×C4⋊Dic83C2314yes—
77C2×Dic83⋊C4—44no—
78C2×Dic83⋊C4C2318yes—
79C2×C22⋊Dic83—24no—
80C2×C22⋊Dic83—24no—
81C2×C22⋊Dic83C2314yes—
82C2×C22⋊Dic83C2314yes—
83C2×(C2×D83)⋊C4—28no—
84C2×(C2×D83)⋊C4—44no—
85C2×(C2×D83)⋊C4—44no—
86C2×(C2×D83)⋊C4C2×C4116yescomplemented
87C2×(C2×D83)⋊C4C2318yes—
88C2×(C2×D83)⋊C4C2318yes—
89C2×(C2×D83)⋊C4C2318yes—
90C2×(C2×D83)⋊C4C2318yes—
91C2×C4×Dic83—24no—
92C2×C4×Dic83—44no—
93C2×C4×Dic83D418yescomplemented
94C2×C4×Dic83C2314yes—
95C2×C4×Dic83C2318yes—
96C2×C4×Dic83C2314yes—
97C83⋊#95C2318yes—
98C83⋊#95C2318yes—
99C25×C83C2311yescharacteristic
100C23×C4×C83—24no—
101C23×C4×C83—24no—
102C23×C4×C83C2×C418yescomplemented
103C23×C4×C83C2312yes—
104C23×C4×C83C2312yes—
105C23×C4×C83C2311yescharacteristic
106C23×C4×C83C2314yes—
107C23×C4×C83C2311yescharacteristic
108C2×C4⋊C4×C83—24no—
109C2×C4⋊C4×C83—24no—
110C2×C4⋊C4×C83C2314yes—
111C2×C4⋊C4×C83C2314yes—
112C2×C22⋊C4×C83—44no—
113C2×C22⋊C4×C83C2318yes—
114#95×C83C2318yes—
115C23×D83—24no—
116C23×D83—24no—
117C23×D83—24no—
118C23×D83—24no—
119C23×D83—24no—
120C23×D83—24no—
121C23×D83C22×C418yes—
122C23×D83C2414yes—
123C2×D332—232no—
124C2×D332—28no—
125C2×D332—28no—
126C2×D332C22×C4116yes—
127C2×C22⋊D83—432no—
128C2×C22⋊D83—48no—
129C2×C22⋊D83—48no—
130C2×C22⋊D83C22×C4132yescomplemented
131C22×Dic83—22no—
132C22×Dic83—22no—
133C22×Dic83—24no—
134C22×Dic83—24no—
135C22×Dic83—22no—
136C22×Dic83—22no—
137C22×Dic83—22no—
138C22×Dic83—22no—
139C22×Dic83—22no—
140C22×Dic83—22no—
141C22×Dic83—22no—
142C22×Dic83—22no—
143C22×Dic83C22×C418yes—
144C22×Dic83C2×D414yes—
145C22×Dic83C2×D414yes—
146C22×Dic83C2412yes—
147C22×Dic83C2412yes—
148C22×Dic83C2414yes—
149C22×Dic83C2412yes—
150C22×Dic83C2412yes—
151C2×C4×D83—216no—
152C2×C4×D83—48no—
153C2×C4×D83—48no—
154C2×C4×D83—432no—
155C4⋊Dic83—28no—
156C4⋊Dic83—28no—
157C4⋊Dic83C22×C4116yescomplemented
158Dic83⋊C4—48no—
159C22⋊Dic83—28no—
160C22⋊Dic83—28no—
161(C2×D83)⋊C4—216no—
162(C2×D83)⋊C4—48no—
163(C2×D83)⋊C4—48no—
164(C2×D83)⋊C4C22×C4132yescomplemented
165C4×Dic83—28no—
166C4×Dic83—48no—
167C4×Dic83C2×D4116yescomplemented
168C24×C83—22no—
169C24×C83—22no—
170C24×C83—22no—
171C24×C83—22no—
172C24×C83—22no—
173C24×C83—22no—
174C24×C83C22×C414yes—
175C24×C83C2412yes—
176C24×C83C2411yescharacteristic
177C22×C4×C83—22no—
178C22×C4×C83—22no—
179C22×C4×C83—232no—
180C22×C4×C83—28no—
181C22×C4×C83—28no—
182C22×C4×C83—24no—
183C22×C4×C83—24no—
184C22×C4×C83—24no—
185C22×C4×C83—24no—
186C22×C4×C83—24no—
187C22×C4×C83—24no—
188C22×C4×C83C22×C414yes—
189C22×C4×C83C22×C414yes—
190C22×C4×C83C22×C4116yescomplemented
191C22×C4×C83C2×D414yes—
192C22×C4×C83#4114yes—
193C22×C4×C83C2414yes—
194C22×C4×C83C2414yes—
195C22×C4×C83C2412yes—
196C22×C4×C83C2412yes—
197C4⋊C4×C83—28no—
198C4⋊C4×C83—28no—
199C22⋊C4×C83—48no—
200C23×C83—28no—
201C23×C83—28no—
202C23×C83—28no—
203C23×C83—22no—
204C23×C83—22no—
205C23×C83—22no—
206C23×C83—22no—
207C23×C83—22no—
208C23×C83—22no—
209C23×C83—44no—
210C23×C83—44no—
211C23×C83—44no—
212C23×C83—44no—
213C23×C83C23×C414yes—
214C23×C83C23×C412yes—
215C23×C83C22×D412yes—
216C23×C83C2×#4112yes—
217C23×C83H(5,𝔽2)12yes—
218C23×C83H(5,𝔽2)12yes—
219C23×C83H(5,𝔽2)12yes—
220C23×C832−1+412yes—
221C23×C83C2511yescharacteristic
222C22×D83—216no—
223C22×D83—216no—
224C22×D83—216no—
225C22×D83—24no—
226C22×D83—24no—
227C22×D83—24no—
228C22×D83—24no—
229C22×D83—24no—
230C22×D83—24no—
231C22×D83—48no—
232C22×D83—48no—
233C22×D83—48no—
234C22×D83—48no—
235C22×D83C23×C418yes—
236C2×C4×C83—28no—
237C2×C4×C83—22no—
238C2×C4×C83—22no—
239C2×C4×C83—232no—
240C2×C4×C83—24no—
241C2×C4×C83—24no—
242C2×C4×C83—24no—
243C2×C4×C83—24no—
244C2×C4×C83—24no—
245C2×C4×C83—24no—
246C2×C4×C83—48no—
247C2×C4×C83—48no—
248C2×C4×C83C4×D4116yes—
249C2×C4×C83C23×C414yes—
250C2×C4×C83C23×C414yes—
251C2×C4×C83C22×D414yes—
252C2×C4×C83C2×#4114yes—
253C22⋊D83—432no—
254C2×Dic83—216no—
255C2×Dic83—28no—
256C2×Dic83—28no—
257C2×Dic83—22no—
258C2×Dic83—24no—
259C2×Dic83—24no—
260C2×Dic83—22no—
261C2×Dic83—22no—
262C2×Dic83—22no—
263C2×Dic83—22no—
264C2×Dic83—22no—
265C2×Dic83—22no—
266C2×Dic83—22no—
267C2×Dic83—22no—
268C2×Dic83—22no—
269C2×Dic83—44no—
270C2×Dic83—44no—
271C2×Dic83C23×C418yes—
272C2×Dic83C22×D414yes—
273C2×Dic83C22×D414yes—
274D332—232no—
275C4×D83—432no—
276C22×C83—24no—
277C22×C83—24no—
278C22×C83—24no—
279C22×C83—416no—
280C22×C83—42no—
281C22×C83—42no—
282C22×C83—42no—
283C22×C83—42no—
284C22×C83C2×C4×D414yes—
285C22×C83#51814yes—
286C22×C83#52014yes—
287C22×C83#53514yes—
288C22×C83#53714yes—
289C22×C83#54014yes—
290C22×C83#54214yes—
291C22×C83C24×C411yescharacteristic
292C22×C83C23×D411yescharacteristic
293C22×C83C22×#4111yescharacteristic
294C22×C83C2×H(5,𝔽2)11yescharacteristic
295C22×C83C2×H(5,𝔽2)11yescharacteristic
296C22×C83C2×H(5,𝔽2)11yescharacteristic
297C22×C83C2×2−1+411yescharacteristic
298C2×D83—28no—
299C2×D83—28no—
300C2×D83—28no—
301C2×D83—432no—
302C2×D83—44no—
303C2×D83—44no—
304C2×D83—44no—
305C2×D83—44no—
306C4×C83—24no—
307C4×C83—44no—
308C4×C83—44no—
309C4×C83C2×C4×D418yes—
310Dic83—28no—
311Dic83—24no—
312Dic83—24no—
313Dic83—42no—
314Dic83—42no—
315C2×#2324—831nomaximal, Sylow
316C2×C83—44no—
317C2×C83#232418yescomplemented
318C2×C83C22×C4×D411yescharacteristic
319C2×C83C2×#51811yescharacteristic
320C2×C83C2×#52011yescharacteristic
321C2×C83C2×#53511yescharacteristic
322C2×C83C2×#53711yescharacteristic
323C2×C83C2×#54011yescharacteristic
324C2×C83C2×#54211yescharacteristic
325D83—48no—
326C22×#121—831no—
327C22×C4×D4—831no—
328C22×#117—831no—
329#2324—8316no—
330C2×#390—831no—
331C2×#390—832no—
332C2×#389—831no—
333C2×#388—832no—
334C2×#386—832no—
335C2×#385—832no—
336C2×#380D8311yescharacteristic, complemented
337C2×C4×C4⋊C4—831no—
338C83C2×#232411yescharacteristic, complemented, Sylow
339C23×D4—832no—
340C23×D4—831no—
341C24×C4—832no—
342C24×C4C2×D8311yescharacteristic
343C2×#121—8316no—
344C2×#121—838no—
345C2×C4×D4—838no—
346C2×C4×D4—1668no—
347C2×#117—838no—
348C2×#117—1668no—
349C22×C4⋊C4—832no—
350C22×C4⋊C4—831no—
351C22×C4⋊C4—831no—
352C22×C4⋊C4—831no—
353C22×C4⋊C4C2×D8311yescharacteristic
354C22×C4⋊C4C2×D8311yescharacteristic
355C22×C22⋊C4—832no—
356C22×C22⋊C4—832no—
357C22×C22⋊C4—832no—
358C22×C22⋊C4—831no—
359C22×C22⋊C4—831no—
360C22×C22⋊C4—832no—
361C22×C22⋊C4C2×D8312yes—
362C22×C42—832no—
363C22×C42—831no—
364C22×C42—831no—
365#390—838no—
366#390—8316no—
367#389—838no—
368#388—8316no—
369#386—8316no—
370#385—8316no—
371#380C2×D8318yescomplemented
372C4×C4⋊C4—838no—
373C2×#95—832no—
374C2×#95—832no—
375C2×#95C2×D8312yes—
376C25—832no—
377C25C22×D8311yescharacteristic
378C22×D4—3324no—
379C22×D4—3324no—
380C22×D4—8316no—
381C22×D4—838no—
382C22×D4—838no—
383C22×D4—834no—
384C22×D4—1664no—
385C22×D4—1664no—
386C23×C4—24no—
387C23×C4—24no—
388C23×C4—3324no—
389C23×C4—3324no—
390C23×C4—838no—
391C23×C4—831no—
392C23×C4—832no—
393C23×C4—831no—
394C23×C4—831no—
395C23×C4—831no—
396C23×C4—1668no—
397C23×C4C4×D8318yescomplemented
398C23×C4C22×D8312yes—
399C23×C4C22×D8312yes—
400C23×C4C22×D8311yescharacteristic
401C23×C4C22×D8314yes—
402C23×C4C22×D8311yescharacteristic
403#121—8364no—
404C4×D4—16632no—
405#117—16632no—
406C2×C4⋊C4—24no—
407C2×C4⋊C4—24no—
408C2×C4⋊C4—3324no—
409C2×C4⋊C4—838no—
410C2×C4⋊C4—838no—
411C2×C4⋊C4—834no—
412C2×C4⋊C4—834no—
413C2×C4⋊C4—834no—
414C2×C4⋊C4—1664no—
415C2×C4⋊C4—1664no—
416C2×C4⋊C4C22×D8314yes—
417C2×C4⋊C4C22×D8314yes—
418C2×C22⋊C4—44no—
419C2×C22⋊C4—3324no—
420C2×C22⋊C4—3324no—
421C2×C22⋊C4—838no—
422C2×C22⋊C4—838no—
423C2×C22⋊C4—8316no—
424C2×C22⋊C4—838no—
425C2×C22⋊C4—834no—
426C2×C22⋊C4—834no—
427C2×C22⋊C4—838no—
428C2×C22⋊C4—1668no—
429C2×C22⋊C4—1664no—
430C2×C22⋊C4—1664no—
431C2×C22⋊C4C22×D8318yes—
432C2×C42—3324no—
433C2×C42—838no—
434C2×C42—838no—
435C2×C42—834no—
436C2×C42—834no—
437C2×C42—1664no—
438#95—838no—
439#95—838no—
440#95C22×D8318yes—
441C24—22no—
442C24—22no—
443C24—22no—
444C24—22no—
445C24—22no—
446C24—22no—
447C24—838no—
448C24—834no—
449C24—1664no—
450C24—1664no—
451C24—1664no—
452C24—1664no—
453C24—1664no—
454C24—1664no—
455C24C2×C4×D8314yes—
456C24C23×D8312yes—
457C24C23×D8311yescharacteristic
458C2×D4—33232no—
459C2×D4—3328no—
460C2×D4—3328no—
461C2×D4—8332no—
462C2×D4—8316no—
463C2×D4—1668no—
464C2×D4—1668no—
465C2×D4—16632no—
466C22×C4—22no—
467C22×C4—22no—
468C22×C4—28no—
469C22×C4—28no—
470C22×C4—232no—
471C22×C4—24no—
472C22×C4—24no—
473C22×C4—24no—
474C22×C4—24no—
475C22×C4—24no—
476C22×C4—24no—
477C22×C4—3328no—
478C22×C4—3328no—
479C22×C4—33232no—
480C22×C4—838no—
481C22×C4—834no—
482C22×C4—834no—
483C22×C4—834no—
484C22×C4—832no—
485C22×C4—832no—
486C22×C4—832no—
487C22×C4—832no—
488C22×C4—16616no—
489C22×C4—1662no—
490C22×C4—1662no—
491C22×C4—1662no—
492C22×C4—1662no—
493C22×C4—1662no—
494C22×C4—1662no—
495C22×C4—1662no—
496C22×C4—1662no—
497C22×C4—1664no—
498C22×C4—1664no—
499C22×C4—1662no—
500C22×C4—1662no—
501C22×C4C2×C4×D8314yes—
502C22×C4C2×C4×D8314yes—
503C22×C4C2×C4×D83116yescomplemented
504C22×C4D4×D8314yes—
505C22×C4#1305058914yes—
506C22×C4C23×D8314yes—
507C22×C4C23×D8314yes—
508C22×C4C23×D8312yes—
509C22×C4C23×D8312yes—
510C4⋊C4—28no—
511C4⋊C4—28no—
512C4⋊C4—3328no—
513C4⋊C4—8316no—
514C4⋊C4—1668no—
515C4⋊C4—1668no—
516C22⋊C4—48no—
517C22⋊C4—3328no—
518C22⋊C4—3328no—
519C22⋊C4—8332no—
520C22⋊C4—16616no—
521C22⋊C4—1668no—
522C22⋊C4—1668no—
523C42—3328no—
524C42—8316no—
525C42—1668no—
526C23—28no—
527C23—28no—
528C23—28no—
529C23—22no—
530C23—22no—
531C23—22no—
532C23—22no—
533C23—22no—
534C23—22no—
535C23—44no—
536C23—44no—
537C23—44no—
538C23—44no—
539C23—3328no—
540C23—3328no—
541C23—3328no—
542C23—3328no—
543C23—838no—
544C23—16616no—
545C23—16616no—
546C23—16616no—
547C23—1664no—
548C23—1664no—
549C23—1664no—
550C23—1664no—
551C23—1664no—
552C23—1664no—
553C23C22×C4×D8314yes—
554C23C22×C4×D8312yes—
555C23C2×D4×D8312yes—
556C23C2×#1305058912yes—
557C23#1458183712yes—
558C23#1458183812yes—
559C23#1458183812yes—
560C23#1458184012yes—
561C23C24×D8311yescharacteristic
562D4—33232no—
563D4—16632no—
564C2×C4—28no—
565C2×C4—22no—
566C2×C4—22no—
567C2×C4—232no—
568C2×C4—24no—
569C2×C4—24no—
570C2×C4—24no—
571C2×C4—24no—
572C2×C4—24no—
573C2×C4—24no—
574C2×C4—48no—
575C2×C4—48no—
576C2×C4—33232no—
577C2×C4—3324no—
578C2×C4—3324no—
579C2×C4—838no—
580C2×C4—834no—
581C2×C4—834no—
582C2×C4—1662no—
583C2×C4—1662no—
584C2×C4—1662no—
585C2×C4—1662no—
586C2×C4—1662no—
587C2×C4—1662no—
588C2×C4—16616no—
589C2×C4—1668no—
590C2×C4—1662no—
591C2×C4—1662no—
592C2×C4—1664no—
593C2×C4—1664no—
594C2×C4—1662no—
595C2×C4—1662no—
596C2×C4—1668no—
597C2×C4(C22⋊D83)⋊C4116yes—
598C2×C4C22×C4×D8314yes—
599C2×C4C22×C4×D8314yes—
600C2×C4C2×D4×D8314yes—
601C2×C4C2×#1305058914yes—
602C22—24no—
603C22—24no—
604C22—24no—
605C22—42no—
606C22—416no—
607C22—42no—
608C22—42no—
609C22—42no—
610C22—3324no—
611C22—33232no—
612C22—3324no—
613C22—3324no—
614C22—3324no—
615C22—1668no—
616C22—1668no—
617C22—1668no—
618C22C2×(C22⋊D83)⋊C414yes—
619C22#1912817514yes—
620C22#1912818214yes—
621C22#1912826714yes—
622C22#1912828114yes—
623C22#1912830414yes—
624C22#1912832414yes—
625C22C23×C4×D8311yescharacteristic
626C22C22×D4×D8311yescharacteristic
627C22C22×#1305058911yescharacteristic
628C22C2×#1458183711yescharacteristic
629C22C2×#1458183811yescharacteristic
630C22C2×#1458183811yescharacteristic
631C22C2×#1458184011yescharacteristic
632C4—24no—
633C4—44no—
634C4—44no—
635C4—3322no—
636C4—3322no—
637C4—1668no—
638C4—1664no—
639C4—1664no—
640C4C2×(C22⋊D83)⋊C418yes—
641C2—44no—
642C2—3328no—
643C2#2491015218yesdirect product factor
644C2C22×(C22⋊D83)⋊C411yescharacteristic
645C2C2×#1912817511yescharacteristic
646C2C2×#1912818211yescharacteristic
647C2C2×#1912826711yescharacteristic
648C2C2×#1912828111yescharacteristic
649C2C2×#1912830411yescharacteristic
650C2C2×#1912832411yescharacteristic
subgroupG/H
centerC24C23×D83
commutatorC22×C83C24×C4
FrattiniC23C24×D83
FittingC2×#380×C83C2
socleC24×C83C24
prime radicalC22×#14581766C2
cosocleC23×C83C25
hypercenterC2×#380D83
hypocenterC83C2×#2324
LCSG ▷ C22×C83 ▷ C83
UCSC1 ◁ C24 ◁ C2×#380

Complements

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

NH ≅ G/Ntype
2. C22×#14581754C2semidirect
3. C22×#14581751C2semidirect
4. #24910152C2direct (N × H)
5. C2×#19127602C2semidirect
6. C2×#19127601C2semidirect
7. C2×#19127597C2semidirect
8. C2×#19127593C2semidirect
9. C2×#19127577C2semidirect
10. C2×#19127575C2semidirect
11. C2×C4⋊C4×Dic83C2semidirect
12. C2×#380×C83C2semidirect
16. C2×#14581766C4semidirect
19. C2×#14581754C22semidirect
21. C2×#14581751C22semidirect
35. #19127602C22semidirect
36. #19127601C22semidirect
37. #19127597C22semidirect
38. #19127593C22semidirect
39. #19127577C22semidirect
40. #19127575C22semidirect
41. C4⋊C4×Dic83C22semidirect
48. #380×C83C22semidirect
57. C22×C22⋊D83C2×C4semidirect
68. #14581766C2×C4semidirect
73. C2×C4⋊Dic83C2×C4semidirect
86. C2×(C2×D83)⋊C4C2×C4semidirect
93. C2×C4×Dic83D4semidirect
102. C23×C4×C83C2×C4semidirect
130. C2×C22⋊D83C22×C4semidirect
157. C4⋊Dic83C22×C4semidirect
164. (C2×D83)⋊C4C22×C4semidirect
167. C4×Dic83C2×D4semidirect
190. C22×C4×C83C22×C4semidirect
317. C2×C83#2324semidirect
336. C2×#380D83semidirect
338. C83C2×#2324semidirect
371. #380C2×D83semidirect
397. C23×C4C4×D83semidirect
503. C22×C4C2×C4×D83semidirect
643. C2#24910152direct (N × H)

Maximal subgroups

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

subgroupindex
C22×#145817662
C22×#145817542
C22×#145817512
#249101522
C2×#191276022
C2×#191276012
C2×#191275972
C2×#191275932
C2×#191275772
C2×#191275752
C2×C4⋊C4×Dic832
C2×#380×C832
C2×#232483