Finite Group Databasebeta

← #3500×D83 #36312868

Subgroups — #3500×D83 #36312868

Order 21248.

11534 conjugacy classes of subgroups.

The subgroup lattice has 1216 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×2−1+4×D83C211yesmaximal, characteristic, complemented
2C2×H(5,𝔽2)×D83C211yesmaximal, characteristic, complemented
3#24921257C211yesmaximal, characteristic, complemented
4#24921256C211yesmaximal, characteristic, complemented
5#24921255C213yesmaximal, complemented
6#24921254C214yesmaximal, complemented
7#24921253C213yesmaximal, complemented
8#24921252C213yesmaximal, complemented
9#24921251C211yesmaximal, characteristic, complemented
10#24921250C213yesmaximal, complemented
11#24921249C2112yesmaximal, complemented
12#548×D83C214yesmaximal, complemented
13#546×D83C2112yesmaximal, complemented
14#536×D83C213yesmaximal, complemented
15#535×D83C213yesmaximal, complemented
16#532×D83C213yesmaximal, complemented
17C2×#124×D83C213yesmaximal, complemented
18C4×#41×D83C211yesmaximal, characteristic, complemented
19C83×#3500C211yesmaximal, characteristic, complemented
20C2×#14581840C2213yescomplemented
21C2×#14581840C2212yescomplemented
22C2×#14581839C2216yescomplemented
23C2×#14581839C2213yescomplemented
24C2×#14581839C2211yescharacteristic, complemented
252−1+4×D83—216no—
26C2×#14581838C2213yescomplemented
27C2×#14581838C2212yescomplemented
28C2×#14581838C2211yescharacteristic, complemented
29C2×#14581837C2216yescomplemented
30C2×#14581837C2213yescomplemented
31H(5,𝔽2)×D83—216no—
32C2×#41×D83C2212yes—
33C2×#41×D83C2213yes—
34C2×#41×D83C2211yescharacteristic
35C2×#41×D83C2216yescomplemented
36C2×#41×D83C2213yescomplemented
37C22×Q8×D83C2212yescomplemented
38C22×Q8×D83C2213yescomplemented
39C22×D4×D83C2216yes—
40C22×D4×D83C2213yes—
41#19128363C2214yescomplemented
42#19128362C2214yescomplemented
43#19128361C22112yescomplemented
44#19128360C22112yescomplemented
45#19128359C22112yescomplemented
46#19128358C2214yescomplemented
47#19128357C22112yescomplemented
48#19128348C22112yescomplemented
49#19128347C22112yescomplemented
50#19128346C22112yescomplemented
51#19128345C22112yescomplemented
52#19128344C22112yescomplemented
53#19128343C22124yescomplemented
54#19128342C22112yescomplemented
55#19128341C22124yescomplemented
56#19128340C22124yescomplemented
57#19128339C22112yescomplemented
58#19128338C22124yescomplemented
59#19128277C2213yescomplemented
60#19128276C2216yescomplemented
61#19128275C2213yescomplemented
62#19128274C22112yescomplemented
63#19128273C22112yescomplemented
64#19128272C2213yescomplemented
65#19128271C2216yescomplemented
66#19128270C2213yescomplemented
67#19128269C2216yescomplemented
68#19128268C2213yescomplemented
69#19128267C22112yescomplemented
70#19128266C22112yescomplemented
71#19128265C2213yescomplemented
72#19128264C2216yescomplemented
73#19128252C2213yescomplemented
74#19128251C2213yescomplemented
75#19128250C2213yescomplemented
76#19128250C2213yescomplemented
77#19128249C2213yescomplemented
78#19128248C22112yescomplemented
79#19128247C2213yescomplemented
80#19128247C2213yescomplemented
81#19128246C22112yescomplemented
82C4⋊Q8×D83C2213yescomplemented
83#127×D83C2213yescomplemented
84C2×#14581781C2213yescomplemented
85C2×#14581780C2213yescomplemented
86C2×#14581779C2213yescomplemented
87C2×#14581778C22112yescomplemented
88#124×D83C22112yescomplemented
89#124×D83C2213yescomplemented
90#124×D83C2216yescomplemented
91#124×D83C2211yescharacteristic, complemented
92#124×D83C22112yescomplemented
93#124×D83C2216yescomplemented
94#124×D83C2216yescomplemented
95#123×D83C22112yescomplemented
96C22⋊Q8×D83C22112yescomplemented
97#121×D83C22112yescomplemented
98#121×D83C22112yescomplemented
99#120×D83C22112yescomplemented
100#41×Dic83C2211yescharacteristic, complemented
101C4×#13050591C2212yescomplemented
102C4×#13050590C2213yescomplemented
103#19128169C2213yescomplemented
104C4×#13050589C2216yescomplemented
105C4×Q8×D83C2212yescomplemented
106C4×D4×D83C2216yescomplemented
107C4×D4×D83C22112yescomplemented
108#117×D83C2213yescomplemented
109C2×C22⋊C4×D83C22112yescomplemented
110C2×C42×D83C2213yescomplemented
111C2×2−1+4×C83C2211yescharacteristic, complemented
112C2×H(5,𝔽2)×C83C2211yescharacteristic, complemented
113#548×C83C2214yescomplemented
114#546×C83C22112yescomplemented
115#536×C83C2213yescomplemented
116#535×C83C2213yescomplemented
117#532×C83C2213yescomplemented
118C2×#124×C83C2213yescomplemented
119C4×#41×C83C2211yescharacteristic, complemented
120C24×D83C2316yes—
121#14581840—216no—
122#14581840—224no—
123#14581839—224no—
124#14581839—248no—
125#14581839—28no—
126#14581838—216no—
127#14581838—224no—
128#14581838—28no—
129#14581837—224no—
130#14581837—248no—
131C2×#13050591C2312yes—
132C2×#13050591C2313yes—
133C2×#13050591C2311yescharacteristic
134C2×#13050591C2316yescomplemented
135C2×#13050591C2313yescomplemented
136C2×#13050590C2316yes—
137C2×#13050590C2313yes—
138C2×#13050590C2316yes—
139C2×#13050590C2313yes—
140C2×#13050590C23112yescomplemented
141C2×#13050590C2316yescomplemented
142C2×#13050590C2313yescomplemented
143C2×#13050590C2316yescomplemented
144C2×#13050589C2316yes—
145C2×#13050589C2316yes—
146C2×#13050589C2313yes—
147C2×#13050589C2313yes—
148C2×#13050589C23112yescomplemented
149C2×#13050589C2316yescomplemented
150C2×#13050589C2316yescomplemented
151C2×#13050589C2313yescomplemented
152#41×D83—216no—
153#41×D83—248no—
154#41×D83—224no—
155#41×D83—224no—
156#41×D83D4116yescomplemented
157C22×Dic166C2316yescomplemented
158C22×Dic166C2316yescomplemented
159C22×Dic166C2313yescomplemented
160C2×Q8×D83—216no—
161C2×Q8×D83—224no—
162C2×Q8×D83C2316yes—
163C2×Q8×D83C2313yes—
164C2×Q8×D83C2311yescharacteristic
165C2×Q8×D83C2311yescharacteristic
166C2×Q8×D83C2312yescomplemented
167C2×Q8×D83C2316yescomplemented
168C2×Q8×D83C2316yescomplemented
169C2×Q8×D83C2316yescomplemented
170C22×D332C2316yes—
171C22×D332C2313yes—
172C22×C22⋊D83C23112yes—
173C22×C22⋊D83C2316yes—
174C2×D4×D83—248no—
175C2×D4×D83—224no—
176C2×D4×D83C2316yes—
177C2×D4×D83C23112yes—
178C2×D4×D83C2316yes—
179C2×D4×D83C2316yes—
180C2×D4×D83C2316yes—
181C2×D4×D83C2316yes—
182C2×D4×D83C2313yes—
183C2×D4×D83C2316yes—
184C2×D4×D83C2316yes—
185C2×D4×D83C2311yescharacteristic
186C2×D4×D83C23112yes—
187C2×D4×D83C2313yes—
188C22×C4×D83C2316yes—
189C22×C4×D83C2316yes—
190C22×C4×D83C2316yes—
191C22×C4×D83C2316yes—
192C22×C4×D83C2313yes—
193#14581792C2313yescomplemented
194#14581791C23112yescomplemented
195#14581790C2313yescomplemented
196#14581790C2313yescomplemented
197#14581789C2313yescomplemented
198#14581788C23112yescomplemented
199#14581788C2313yescomplemented
200#14581788C2313yescomplemented
201#14581781C23112yescomplemented
202#14581781C2313yescomplemented
203#14581781C2316yescomplemented
204#14581781C2311yescharacteristic, complemented
205#14581780C23112yescomplemented
206#14581780C2313yescomplemented
207#14581780C2316yescomplemented
208#14581780C2311yescharacteristic, complemented
209#14581779C23112yescomplemented
210#14581779C2313yescomplemented
211#14581779C2316yescomplemented
212#14581779C2311yescharacteristic, complemented
213#14581778C23124yescomplemented
214#14581778C23124yescomplemented
215#14581778C23112yescomplemented
216#14581778C23124yescomplemented
217#14581778C2314yescomplemented
218#14581777C23124yescomplemented
219#14581776C23112yescomplemented
220#14581775C23112yescomplemented
221#14581774C23124yescomplemented
222#14581773C23112yescomplemented
223#14581772C23112yescomplemented
224#14581771C23112yescomplemented
225#14581770C23124yescomplemented
226#14581769C23124yescomplemented
227#14581768C23112yescomplemented
228#14581767C23112yescomplemented
229#14581767C23112yescomplemented
230#14581766C23112yescomplemented
231#14581766C23112yescomplemented
232#14581765C23112yescomplemented
233#14581765C23112yescomplemented
234#14581765C23124yescomplemented
235#14581764C23112yescomplemented
236#14581764C23124yescomplemented
237#14581764C23112yescomplemented
238#14581763C23112yescomplemented
239#14581763C23112yescomplemented
240#14581762C23124yescomplemented
241#14581762C23112yescomplemented
242#14581761C23112yescomplemented
243#14581760C23124yescomplemented
244#14581760C23112yescomplemented
245Q8×Dic83C2312yescomplemented
246C4×Dic166C2316yescomplemented
247#14581757C2316yescomplemented
248C4×D332C2316yescomplemented
249C4×D332C23112yescomplemented
250D4×Dic83C23112yescomplemented
251D4×Dic83C2316yescomplemented
252#14581754C2316yescomplemented
253#14581754C23112yescomplemented
254C4×C22⋊D83C23112yescomplemented
255C4×C22⋊D83C23112yescomplemented
256C4×C22⋊D83C23112yescomplemented
257(C22⋊D83)⋊C4C23112yescomplemented
258(C22⋊D83)⋊C4C23112yescomplemented
259(C22⋊D83)⋊C4C23112yescomplemented
260#14581751C2313yescomplemented
261#14581750C2316yescomplemented
262#14581749C2316yescomplemented
263#14581748C2316yescomplemented
264C4⋊C4×D83C2316yes—
265C4⋊C4×D83C23112yes—
266C2×C22⋊Dic83C23112yescomplemented
267C2×(C2×D83)⋊C4C23112yescomplemented
268C2×(C2×D83)⋊C4C23112yescomplemented
269C22⋊C4×D83C23112yes—
270C22⋊C4×D83C23124yes—
271C22⋊C4×D83C2316yes—
272C22⋊C4×D83C2314yes—
273C22⋊C4×D83C23124yescomplemented
274C22⋊C4×D83C23124yescomplemented
275C2×C4×Dic83C2316yescomplemented
276C2×C4×Dic83C2313yescomplemented
277C42×D83C2311yescharacteristic
278C42×D83C2313yes—
279C42×D83C2316yes—
280C42×D83C2316yescomplemented
281C42×D83C2313yescomplemented
282C42×D83C2313yescomplemented
2832−1+4×C83—28no—
284H(5,𝔽2)×C83—28no—
285C2×#41×C83C2312yes—
286C2×#41×C83C2313yes—
287C2×#41×C83C2311yescharacteristic
288C2×#41×C83C2316yescomplemented
289C2×#41×C83C2313yescomplemented
290C22×Q8×C83C2312yescomplemented
291C22×Q8×C83C2313yescomplemented
292C22×D4×C83C2316yes—
293C22×D4×C83C2313yes—
294C4⋊Q8×C83C2313yescomplemented
295#127×C83C2313yescomplemented
296#124×C83C23112yescomplemented
297#124×C83C2313yescomplemented
298#124×C83C2316yescomplemented
299#124×C83C2311yescharacteristic, complemented
300#123×C83C23112yescomplemented
301C22⋊Q8×C83C23112yescomplemented
302#121×C83C23112yescomplemented
303#121×C83C23112yescomplemented
304#120×C83C23112yescomplemented
305C4×Q8×C83C2312yescomplemented
306C4×D4×C83C2316yescomplemented
307C4×D4×C83C23112yescomplemented
308#117×C83C2313yescomplemented
309C2×C22⋊C4×C83C23112yescomplemented
310C2×C42×C83C2313yescomplemented
311C23×D83—224no—
312C23×D83—424no—
313C23×D83C2412yes—
314C23×D83C2416yes—
315C23×D83C2413yes—
316C23×D83C24112yes—
317C23×D83C2416yes—
318#13050591—28no—
319#13050591—224no—
320#13050591—212no—
321#13050591—212no—
322#13050591C2×D418yescomplemented
323#13050590—212no—
324#13050590—212no—
325#13050590—248no—
326#13050590—224no—
327#13050590—224no—
328#13050590—224no—
329#13050590—224no—
330#13050590C2×D4124yescomplemented
331#13050589—224no—
332#13050589—248no—
333#13050589—224no—
334#13050589—224no—
335#13050589—212no—
336#13050589—212no—
337#13050589—224no—
338#13050589C2×D4124yescomplemented
339C2×Dic166—212no—
340C2×Dic166—224no—
341C2×Dic166—224no—
342C2×Dic166C24112yes—
343C2×Dic166C2416yes—
344C2×Dic166C2416yes—
345C2×Dic166C2412yes—
346C2×Dic166C2413yes—
347C2×Dic166C2411yescharacteristic
348C2×Dic166C2413yes—
349Q8×D83—28no—
350Q8×D83—224no—
351Q8×D83—212no—
352Q8×D83—224no—
353Q8×D83—224no—
354Q8×D83—24no—
355Q8×D83—224no—
356Q8×D83C2×D418yes—
357C2×D332—212no—
358C2×D332—224no—
359C2×D332C2416yes—
360C2×D332C2416yes—
361C2×D332C2416yes—
362C2×D332C2413yes—
363C2×D332C2411yescharacteristic
364C2×D332C24112yes—
365C2×D332C2413yes—
366C2×C22⋊D83—248no—
367C2×C22⋊D83—224no—
368C2×C22⋊D83C2416yes—
369C2×C22⋊D83C2416yes—
370C2×C22⋊D83C2416yes—
371C2×C22⋊D83C24112yes—
372C2×C22⋊D83C2416yes—
373C2×C22⋊D83C2416yes—
374C2×C22⋊D83C2412yes—
375C2×C22⋊D83C24112yes—
376C2×C22⋊D83C24112yes—
377C2×C22⋊D83C2416yes—
378D4×D83—224no—
379D4×D83—224no—
380D4×D83—224no—
381D4×D83—248no—
382D4×D83—224no—
383D4×D83—224no—
384D4×D83—212no—
385D4×D83—224no—
386D4×D83—224no—
387D4×D83—24no—
388D4×D83—424no—
389D4×D83C2×D4124yes—
390C22×Dic83C2416yes—
391C22×Dic83C2416yes—
392C22×Dic83C2416yes—
393C22×Dic83C2416yes—
394C22×Dic83C2413yes—
395C2×C4×D83—224no—
396C2×C4×D83—224no—
397C2×C4×D83—224no—
398C2×C4×D83—412no—
399C2×C4×D83C2×D4124yes—
400C2×C4×D83C2416yes—
401C2×C4×D83C2416yes—
402C2×C4×D83C2416yes—
403C2×C4×D83C2416yes—
404C2×C4×D83C24112yes—
405C2×C4×D83C2412yes—
406C2×C4×D83C2416yes—
407C2×C4×D83C2412yes—
408C2×C4×D83C2416yes—
409C2×C4×D83C2416yes—
410C2×C4×D83C2416yes—
411C2×C4×D83C2413yes—
412C2×C4×D83C2411yescharacteristic
413C2×C4×D83C2413yes—
414C2×C4×D83C2413yes—
415C4⋊Dic83C2416yes—
416C4⋊Dic83C24112yes—
417Dic83⋊C4C24112yes—
418Dic83⋊C4C24112yes—
419Dic83⋊C4C24112yes—
420C22⋊Dic83C2416yes—
421C22⋊Dic83C24124yes—
422C22⋊Dic83C2414yes—
423C22⋊Dic83C24112yes—
424(C2×D83)⋊C4C24112yes—
425(C2×D83)⋊C4C24124yes—
426(C2×D83)⋊C4C24124yes—
427(C2×D83)⋊C4C2414yes—
428(C2×D83)⋊C4C24112yes—
429(C2×D83)⋊C4C2414yes—
430(C2×D83)⋊C4C24112yes—
431C4×Dic83C2412yes—
432C4×Dic83C2416yes—
433C4×Dic83C2416yes—
434C4×Dic83C2416yes—
435C4×Dic83C2411yescharacteristic
436C4×Dic83C2413yes—
437C4×Dic83C2416yes—
438C24×C83C2416yes—
439#41×C83—28no—
440#41×C83—224no—
441#41×C83—212no—
442#41×C83—212no—
443#41×C83C2×D418yescomplemented
444C2×Q8×C83—28no—
445C2×Q8×C83—212no—
446C2×Q8×C83C2416yes—
447C2×Q8×C83C2413yes—
448C2×Q8×C83C2411yescharacteristic
449C2×Q8×C83C2411yescharacteristic
450C2×D4×C83—224no—
451C2×D4×C83—212no—
452C2×D4×C83C2416yes—
453C2×D4×C83C2416yes—
454C2×D4×C83C2416yes—
455C2×D4×C83C2413yes—
456C2×D4×C83C2411yescharacteristic
457C2×D4×C83C24112yes—
458C2×D4×C83C2413yes—
459C22×C4×C83C2416yes—
460C22×C4×C83C2416yes—
461C22×C4×C83C2416yes—
462C22×C4×C83C2416yes—
463C22×C4×C83C2413yes—
464C4⋊C4×C83C2416yes—
465C4⋊C4×C83C24112yes—
466C22⋊C4×C83C2416yes—
467C22⋊C4×C83C24124yes—
468C22⋊C4×C83C2414yes—
469C22⋊C4×C83C24112yes—
470C42×C83C2411yescharacteristic
471C42×C83C2413yes—
472C42×C83C2416yes—
473C23×C83—212no—
474C23×C83—412no—
475C23×C83C2516yes—
476C23×C83C2512yes—
477C23×C83C2513yes—
478C22×D83—212no—
479C22×D83—212no—
480C22×D83—24no—
481C22×D83—212no—
482C22×D83—28no—
483C22×D83—224no—
484C22×D83—224no—
485C22×D83—424no—
486C22×D83—412no—
487C22×D83—848no—
488C22×D83C22×D4112yes—
489C22×D83C2516yes—
490C22×D83C2512yes—
491C22×D83C2513yes—
492C22×D83C2511yescharacteristic
493Q8×C83—26no—
494Q8×C83—212no—
495Q8×C83—22no—
496Q8×C83C22×D414yes—
497D4×C83—212no—
498D4×C83—212no—
499D4×C83—26no—
500D4×C83—212no—
501D4×C83—22no—
502D4×C83—412no—
503D4×C83C22×D4112yes—
504C2×C4×C83—212no—
505C2×C4×C83—212no—
506C2×C4×C83—212no—
507C2×C4×C83—46no—
508C2×C4×C83C22×D4112yes—
509C2×C4×C83C2512yes—
510C2×C4×C83C2516yes—
511C2×C4×C83C2516yes—
512C2×C4×C83C2512yes—
513C2×C4×C83C2511yescharacteristic
514C2×C4×C83C2513yes—
515C22⋊D83—212no—
516C22⋊D83—212no—
517C22⋊D83—212no—
518C22⋊D83—212no—
519C22⋊D83—212no—
520C22⋊D83—224no—
521C22⋊D83—24no—
522C22⋊D83—412no—
523C22⋊D83—412no—
524C22⋊D83C22×D4124yes—
525C2×Dic83—212no—
526C2×Dic83—212no—
527C2×Dic83—212no—
528C2×Dic83—46no—
529C2×Dic83C22×D4112yes—
530C2×Dic83C2512yes—
531C2×Dic83C2516yes—
532C2×Dic83C2516yes—
533C2×Dic83C2512yes—
534C2×Dic83C2511yescharacteristic
535C2×Dic83C2513yes—
536D332—212no—
537D332—212no—
538D332—26no—
539D332—212no—
540D332—22no—
541D332—412no—
542D332C22×D4112yes—
543C4×D83—24no—
544C4×D83—212no—
545C4×D83—224no—
546C4×D83—24no—
547C4×D83—212no—
548C4×D83—212no—
549C4×D83—212no—
550C4×D83—212no—
551C4×D83—212no—
552C4×D83—46no—
553C4×D83—46no—
554C4×D83C22×D4112yes—
555C4×D83C22×D414yes—
556C4×D83C22×D4112yes—
557C4×D83C22×D4112yes—
558Dic166—26no—
559Dic166—212no—
560Dic166—22no—
561Dic166—212no—
562Dic166—224no—
563Dic166—24no—
564Dic166C22×D4112yes—
565C22×C83—26no—
566C22×C83—22no—
567C22×C83—26no—
568C22×C83—24no—
569C22×C83—212no—
570C22×C83—812no—
571C22×C83C23×D416yes—
572C22×C83C2611yescharacteristic
573C2×D83—26no—
574C2×D83—224no—
575C2×D83—22no—
576C2×D83—26no—
577C2×D83—24no—
578C2×D83—212no—
579C2×D83—48no—
580C2×D83—424no—
581C2×D83—824no—
582C2×D83—812no—
583C2×D83C23×D416yes—
584C2×D83C23×D412yes—
585C2×D83#58514yes—
586C4×C83—26no—
587C4×C83—22no—
588C4×C83—22no—
589C4×C83—26no—
590C4×C83C23×D412yes—
591C4×C83C23×D416yes—
592Dic83—26no—
593Dic83—22no—
594Dic83—22no—
595Dic83—26no—
596Dic83C23×D412yes—
597Dic83C23×D416yes—
598C2×#3500—831nomaximal, Sylow
599C2×C83—26no—
600C2×C83—46no—
601C2×C83—42no—
602C2×C83C24×D411yescharacteristic
603C2×C83C2×#58512yes—
604D83—26no—
605D83—42no—
606D83—46no—
607D83#350014yesdirect product factor
608C22×2−1+4—831no—
609C22×H(5,𝔽2)—831no—
610#3500—831no—
611#3500—831no—
612#3500—834no—
613#3500—8312no—
614#3500—833no—
615#3500—833no—
616#3500—833no—
617#3500—833no—
618#3500—831no—
619#3500D8311yescharacteristic, direct product factor
620C2×#548—834no—
621C2×#546—8312no—
622C2×#536—833no—
623C2×#535—833no—
624C2×#532—833no—
625C22×#124—833no—
626C2×C4×#41—831no—
627C83C2×#350011yescharacteristic, complemented, Sylow
628C2×2−1+4—831no—
629C2×2−1+4—833no—
630C2×2−1+4—836no—
631C2×2−1+4—832no—
632C2×2−1+4—833no—
633C2×2−1+4—16616no—
634C2×2−1+4C2×D8311yescharacteristic, complemented
635C2×H(5,𝔽2)—832no—
636C2×H(5,𝔽2)—833no—
637C2×H(5,𝔽2)—831no—
638C2×H(5,𝔽2)—836no—
639C2×H(5,𝔽2)—833no—
640C2×H(5,𝔽2)—16616no—
641C2×H(5,𝔽2)C2×D8311yescharacteristic, complemented
642C22×#41—831no—
643C22×#41—833no—
644C22×#41—832no—
645C22×#41—833no—
646C22×#41—836no—
647C23×Q8—833no—
648C23×Q8—832no—
649C23×D4—833no—
650C23×D4—836no—
651#548—834no—
652#548—834no—
653#548—8312no—
654#548—8312no—
655#548—8312no—
656#548—834no—
657#548—8312no—
658#548C2×D8314yescomplemented
659#546—8312no—
660#546—8312no—
661#546—8312no—
662#546—8324no—
663#546—8312no—
664#546—8324no—
665#546—8312no—
666#546—8324no—
667#546—8312no—
668#546—8312no—
669#546—8324no—
670#546C2×D83112yescomplemented
671#536—833no—
672#536—833no—
673#536—836no—
674#536—836no—
675#536—8312no—
676#536—8312no—
677#536—833no—
678#536C2×D8313yescomplemented
679#535—833no—
680#535—833no—
681#535—836no—
682#535—836no—
683#535—8312no—
684#535—8312no—
685#535—833no—
686#535C2×D8313yescomplemented
687#532—833no—
688#532—833no—
689#532—833no—
690#532—833no—
691#532—833no—
692#532—833no—
693#532—8312no—
694#532—8312no—
695#532—833no—
696#532C2×D8313yescomplemented
697C2×C4⋊Q8—833no—
698C2×#127—833no—
699C2×#124—833no—
700C2×#124—833no—
701C2×#124—833no—
702C2×#124—836no—
703C2×#124—8312no—
704C2×#124—836no—
705C2×#124—836no—
706C2×#124—8312no—
707C2×#124—831no—
708C2×#124—8312no—
709C2×#124—833no—
710C2×#124C2×D8313yescomplemented
711C2×#123—8312no—
712C2×C22⋊Q8—8312no—
713C2×#121—8312no—
714C2×#121—8312no—
715C2×#120—8312no—
716C4×#41—831no—
717C4×#41—832no—
718C4×#41—836no—
719C4×#41—833no—
720C4×#41—833no—
721C4×#41C2×D8311yescharacteristic, complemented
722C2×C4×Q8—832no—
723C2×C4×D4—836no—
724C2×C4×D4—8312no—
725C2×#117—833no—
726C22×C22⋊C4—8312no—
727C22×C42—833no—
728C25—836no—
7292−1+4—28no—
7302−1+4—16616no—
7312−1+4—16624no—
7322−1+4—16648no—
7332−1+4—16624no—
7342−1+4—1668no—
735H(5,𝔽2)—28no—
736H(5,𝔽2)—16648no—
737H(5,𝔽2)—16624no—
738H(5,𝔽2)—16616no—
739H(5,𝔽2)—16624no—
740H(5,𝔽2)—1668no—
741C2×#41—8316no—
742C2×#41—831no—
743C2×#41—833no—
744C2×#41—833no—
745C2×#41—836no—
746C2×#41—832no—
747C2×#41—833no—
748C2×#41—836no—
749C2×#41—833no—
750C2×#41—836no—
751C2×#41—833no—
752C2×#41—836no—
753C2×#41—8312no—
754C2×#41—836no—
755C2×#41—833no—
756C2×#41—836no—
757C2×#41—833no—
758C2×#41—836no—
759C2×#41—833no—
760C2×#41—836no—
761C2×#41—8312no—
762C2×#41—836no—
763C2×#41—16624no—
764C2×#41—16624no—
765C2×#41—16648no—
766C2×#41—16616no—
767C2×#41C22×D8313yes—
768C2×#41C22×D8312yes—
769C2×#41C22×D8311yescharacteristic
770C2×#41C22×D8313yescomplemented
771C2×#41C22×D8316yescomplemented
772C22×Q8—831no—
773C22×Q8—836no—
774C22×Q8—833no—
775C22×Q8—836no—
776C22×Q8—836no—
777C22×Q8—831no—
778C22×Q8—836no—
779C22×Q8—832no—
780C22×Q8—836no—
781C22×Q8—833no—
782C22×Q8—836no—
783C22×Q8—16624no—
784C22×Q8—16616no—
785C22×Q8C22×D8313yescomplemented
786C22×Q8C22×D8312yescomplemented
787C22×D4—8312no—
788C22×D4—833no—
789C22×D4—836no—
790C22×D4—8312no—
791C22×D4—836no—
792C22×D4—836no—
793C22×D4—836no—
794C22×D4—833no—
795C22×D4—836no—
796C22×D4—836no—
797C22×D4—831no—
798C22×D4—8312no—
799C22×D4—836no—
800C22×D4—836no—
801C22×D4—833no—
802C22×D4—836no—
803C22×D4—16624no—
804C22×D4—16648no—
805C22×D4C22×D8313yes—
806C22×D4C22×D8316yes—
807C23×C4—836no—
808C23×C4—833no—
809C23×C4—836no—
810C23×C4—836no—
811C23×C4—836no—
812C4⋊Q8—833no—
813C4⋊Q8—833no—
814C4⋊Q8—8312no—
815C4⋊Q8—833no—
816C4⋊Q8C22×D8313yescomplemented
817#127—833no—
818#127—833no—
819#127—8312no—
820#127—833no—
821#127C22×D8313yescomplemented
822#124—833no—
823#124—836no—
824#124—8312no—
825#124—831no—
826#124—833no—
827#124—836no—
828#124—8312no—
829#124—831no—
830#124—8312no—
831#124—8324no—
832#124—8324no—
833#124—8324no—
834#124—834no—
835#124—833no—
836#124—836no—
837#124—8312no—
838#124—831no—
839#124C22×D8313yescomplemented
840#124C22×D8316yescomplemented
841#124C22×D83112yescomplemented
842#124C22×D8311yescharacteristic, complemented
843#123—8312no—
844#123—8312no—
845#123—8324no—
846#123—8324no—
847#123—8312no—
848#123C22×D83112yescomplemented
849C22⋊Q8—8312no—
850C22⋊Q8—8312no—
851C22⋊Q8—8324no—
852C22⋊Q8—8312no—
853C22⋊Q8—8324no—
854C22⋊Q8C22×D83112yescomplemented
855#121—8312no—
856#121—8312no—
857#121—8312no—
858#121—8312no—
859#121—8324no—
860#121—8312no—
861#121—8312no—
862#121—8312no—
863#121—8312no—
864#121—8312no—
865#121—8312no—
866#121—8324no—
867#121C22×D83112yescomplemented
868#121C22×D83112yescomplemented
869#120—8312no—
870#120—8324no—
871#120—8312no—
872#120—8312no—
873#120—8324no—
874#120C22×D83112yescomplemented
875C4×Q8—832no—
876C4×Q8—836no—
877C4×Q8—836no—
878C4×Q8C22×D8312yescomplemented
879C4×D4—836no—
880C4×D4—8312no—
881C4×D4—8312no—
882C4×D4—8312no—
883C4×D4—8312no—
884C4×D4—836no—
885C4×D4—8312no—
886C4×D4—8312no—
887C4×D4—8312no—
888C4×D4—8312no—
889C4×D4—836no—
890C4×D4—8312no—
891C4×D4C22×D8316yescomplemented
892C4×D4C22×D83112yescomplemented
893#117—833no—
894#117—836no—
895#117—836no—
896#117—836no—
897#117C22×D8313yescomplemented
898C2×C4⋊C4—836no—
899C2×C4⋊C4—8312no—
900C2×C22⋊C4—8312no—
901C2×C22⋊C4—8312no—
902C2×C22⋊C4—8312no—
903C2×C22⋊C4—8312no—
904C2×C22⋊C4—8324no—
905C2×C22⋊C4—8324no—
906C2×C22⋊C4—8324no—
907C2×C22⋊C4—836no—
908C2×C22⋊C4—834no—
909C2×C22⋊C4C22×D83112yescomplemented
910C2×C42—833no—
911C2×C42—836no—
912C2×C42—833no—
913C2×C42—836no—
914C2×C42—836no—
915C2×C42—833no—
916C2×C42—833no—
917C2×C42—831no—
918C2×C42C22×D8313yescomplemented
919C24—33224no—
920C24—8312no—
921C24—836no—
922C24—833no—
923C24—836no—
924C24—832no—
925C24—16624no—
926C24C23×D8316yes—
927#41—28no—
928#41—224no—
929#41—212no—
930#41—212no—
931#41—838no—
932#41—8324no—
933#41—8324no—
934#41—16624no—
935#41—16624no—
936#41—16648no—
937#41—16624no—
938#41—16624no—
939#41—16624no—
940#41—16612no—
941#41—16624no—
942#41—16612no—
943#41—16612no—
944#41—16612no—
945#41—16648no—
946#41—16624no—
947#41—16624no—
948#41—1668no—
949#41—16624no—
950#41—16612no—
951#41—16612no—
952#41D4×D8318yescomplemented
953C2×Q8—28no—
954C2×Q8—212no—
955C2×Q8—838no—
956C2×Q8—833no—
957C2×Q8—8312no—
958C2×Q8—836no—
959C2×Q8—836no—
960C2×Q8—833no—
961C2×Q8—832no—
962C2×Q8—831no—
963C2×Q8—16624no—
964C2×Q8—16624no—
965C2×Q8—16612no—
966C2×Q8—16624no—
967C2×Q8—16624no—
968C2×Q8—16624no—
969C2×Q8—1664no—
970C2×Q8—16624no—
971C2×Q8—1668no—
972C2×Q8—16612no—
973C2×Q8C23×D8316yes—
974C2×Q8C23×D8313yes—
975C2×Q8C23×D8311yescharacteristic
976C2×Q8C23×D8311yescharacteristic
977C2×D4—224no—
978C2×D4—212no—
979C2×D4—33224no—
980C2×D4—8312no—
981C2×D4—8312no—
982C2×D4—836no—
983C2×D4—8324no—
984C2×D4—836no—
985C2×D4—836no—
986C2×D4—836no—
987C2×D4—836no—
988C2×D4—8312no—
989C2×D4—836no—
990C2×D4—832no—
991C2×D4—8312no—
992C2×D4—833no—
993C2×D4—836no—
994C2×D4—836no—
995C2×D4—836no—
996C2×D4—833no—
997C2×D4—831no—
998C2×D4—16624no—
999C2×D4—16612no—
1000C2×D4—16624no—
1001C2×D4—16624no—
1002C2×D4—16624no—
1003C2×D4—1664no—
1004C2×D4—16624no—
1005C2×D4—16648no—
1006C2×D4—16624no—
1007C2×D4—16624no—
1008C2×D4—16624no—
1009C2×D4—16648no—
1010C2×D4—16624no—
1011C2×D4—16612no—
1012C2×D4C23×D8316yes—
1013C2×D4C23×D8316yes—
1014C2×D4C23×D8316yes—
1015C2×D4C23×D8313yes—
1016C2×D4C23×D8311yescharacteristic
1017C2×D4C23×D83112yes—
1018C2×D4C23×D8313yes—
1019C22×C4—33212no—
1020C22×C4—836no—
1021C22×C4—836no—
1022C22×C4—836no—
1023C22×C4—833no—
1024C22×C4—8324no—
1025C22×C4—831no—
1026C22×C4—833no—
1027C22×C4—833no—
1028C22×C4—833no—
1029C22×C4—836no—
1030C22×C4—836no—
1031C22×C4—836no—
1032C22×C4—832no—
1033C22×C4—836no—
1034C22×C4—836no—
1035C22×C4—8312no—
1036C22×C4—832no—
1037C22×C4—836no—
1038C22×C4—836no—
1039C22×C4—836no—
1040C22×C4—836no—
1041C22×C4—16624no—
1042C22×C4—16624no—
1043C22×C4—16624no—
1044C22×C4C23×D8316yes—
1045C22×C4C23×D8316yes—
1046C22×C4C23×D8316yes—
1047C22×C4C23×D8316yes—
1048C22×C4C23×D8313yes—
1049C4⋊C4—8312no—
1050C4⋊C4—836no—
1051C4⋊C4—8312no—
1052C4⋊C4—8312no—
1053C4⋊C4—8312no—
1054C4⋊C4C23×D8316yes—
1055C4⋊C4C23×D83112yes—
1056C22⋊C4—8312no—
1057C22⋊C4—8324no—
1058C22⋊C4—836no—
1059C22⋊C4—834no—
1060C22⋊C4—8312no—
1061C22⋊C4—8312no—
1062C22⋊C4—8324no—
1063C22⋊C4—8324no—
1064C22⋊C4—8312no—
1065C22⋊C4—834no—
1066C22⋊C4—834no—
1067C22⋊C4C23×D83112yes—
1068C22⋊C4C23×D83124yes—
1069C22⋊C4C23×D8316yes—
1070C22⋊C4C23×D8314yes—
1071C42—832no—
1072C42—831no—
1073C42—836no—
1074C42—833no—
1075C42—836no—
1076C42—836no—
1077C42—836no—
1078C42C23×D8311yescharacteristic
1079C42C23×D8313yes—
1080C42C23×D8316yes—
1081C23—212no—
1082C23—412no—
1083C23—33212no—
1084C23—33224no—
1085C23—831no—
1086C23—8312no—
1087C23—833no—
1088C23—836no—
1089C23—832no—
1090C23—66448no—
1091C23—1664no—
1092C23—16612no—
1093C23—1668no—
1094C23—16624no—
1095C23—16624no—
1096C23—16612no—
1097C23—16612no—
1098C23C24×D8316yes—
1099C23C24×D8312yes—
1100C23C24×D8313yes—
1101Q8—212no—
1102Q8—26no—
1103Q8—22no—
1104Q8—8312no—
1105Q8—16612no—
1106Q8—16624no—
1107Q8—1664no—
1108Q8—16612no—
1109Q8—1666no—
1110Q8—1662no—
1111Q8C2×D4×D8314yes—
1112D4—212no—
1113D4—212no—
1114D4—212no—
1115D4—26no—
1116D4—22no—
1117D4—412no—
1118D4—33212no—
1119D4—33212no—
1120D4—33212no—
1121D4—8324no—
1122D4—8312no—
1123D4—16612no—
1124D4—16612no—
1125D4—16612no—
1126D4—16624no—
1127D4—1664no—
1128D4—16612no—
1129D4—16612no—
1130D4—16612no—
1131D4—16612no—
1132D4—16612no—
1133D4—1666no—
1134D4—1662no—
1135D4C2×D4×D83112yes—
1136C2×C4—212no—
1137C2×C4—212no—
1138C2×C4—212no—
1139C2×C4—46no—
1140C2×C4—3326no—
1141C2×C4—3326no—
1142C2×C4—3326no—
1143C2×C4—8312no—
1144C2×C4—831no—
1145C2×C4—833no—
1146C2×C4—834no—
1147C2×C4—8312no—
1148C2×C4—8312no—
1149C2×C4—8312no—
1150C2×C4—832no—
1151C2×C4—836no—
1152C2×C4—836no—
1153C2×C4—832no—
1154C2×C4—16612no—
1155C2×C4—16612no—
1156C2×C4—1664no—
1157C2×C4—16612no—
1158C2×C4—1664no—
1159C2×C4—16612no—
1160C2×C4—16624no—
1161C2×C4—16612no—
1162C2×C4—16612no—
1163C2×C4—16612no—
1164C2×C4—16612no—
1165C2×C4—16612no—
1166C2×C4C2×D4×D83112yes—
1167C2×C4C24×D8312yes—
1168C2×C4C24×D8316yes—
1169C2×C4C24×D8316yes—
1170C2×C4C24×D8312yes—
1171C2×C4C24×D8311yescharacteristic
1172C2×C4C24×D8313yes—
1173C22—26no—
1174C22—22no—
1175C22—26no—
1176C22—24no—
1177C22—212no—
1178C22—812no—
1179C22—33224no—
1180C22—3328no—
1181C22—832no—
1182C22—834no—
1183C22—836no—
1184C22—66412no—
1185C22—66424no—
1186C22—16624no—
1187C22—1662no—
1188C22—1666no—
1189C22—1664no—
1190C22—16612no—
1191C22—1666no—
1192C22C22×D4×D8316yes—
1193C22C25×D8311yescharacteristic
1194C4—22no—
1195C4—26no—
1196C4—22no—
1197C4—26no—
1198C4—832no—
1199C4—836no—
1200C4—1662no—
1201C4—1666no—
1202C4—1662no—
1203C4—1666no—
1204C4C22×D4×D8316yes—
1205C4C22×D4×D8312yes—
1206C2—26no—
1207C2—46no—
1208C2—42no—
1209C2—3326no—
1210C2—3322no—
1211C2—834no—
1212C2—1666no—
1213C2C23×D4×D8311yescharacteristic
1214C2#585×D8312yes—
subgroupG/H
center, FrattiniC22C25×D83
commutator, socle, cosocleC22×C83C26
FittingC83×#3500C2
hypercenter#3500D83
hypocenterC83C2×#3500
LCSG ▷ C22×C83 ▷ C83
UCSC1 ◁ C22 ◁ #3500

Complements

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

NH ≅ G/Ntype
1. C2×2−1+4×D83C2semidirect
2. C2×H(5,𝔽2)×D83C2semidirect
3. #24921257C2semidirect
4. #24921256C2semidirect
5. #24921255C2semidirect
6. #24921254C2semidirect
7. #24921253C2semidirect
8. #24921252C2semidirect
9. #24921251C2semidirect
10. #24921250C2semidirect
11. #24921249C2semidirect
12. #548×D83C2semidirect
13. #546×D83C2semidirect
14. #536×D83C2semidirect
15. #535×D83C2semidirect
16. #532×D83C2semidirect
17. C2×#124×D83C2semidirect
18. C4×#41×D83C2semidirect
19. C83×#3500C2semidirect
20. C2×#14581840C22semidirect
21. C2×#14581840C22semidirect
22. C2×#14581839C22semidirect
23. C2×#14581839C22semidirect
24. C2×#14581839C22semidirect
26. C2×#14581838C22semidirect
27. C2×#14581838C22semidirect
28. C2×#14581838C22semidirect
29. C2×#14581837C22semidirect
30. C2×#14581837C22semidirect
35. C2×#41×D83C22semidirect
36. C2×#41×D83C22semidirect
37. C22×Q8×D83C22semidirect
38. C22×Q8×D83C22semidirect
41. #19128363C22semidirect
42. #19128362C22semidirect
43. #19128361C22semidirect
44. #19128360C22semidirect
45. #19128359C22semidirect
46. #19128358C22semidirect
47. #19128357C22semidirect
48. #19128348C22semidirect
49. #19128347C22semidirect
50. #19128346C22semidirect
51. #19128345C22semidirect
52. #19128344C22semidirect
53. #19128343C22semidirect
54. #19128342C22semidirect
55. #19128341C22semidirect
56. #19128340C22semidirect
57. #19128339C22semidirect
58. #19128338C22semidirect
59. #19128277C22semidirect
60. #19128276C22semidirect
61. #19128275C22semidirect
62. #19128274C22semidirect
63. #19128273C22semidirect
64. #19128272C22semidirect
65. #19128271C22semidirect
66. #19128270C22semidirect
67. #19128269C22semidirect
68. #19128268C22semidirect
69. #19128267C22semidirect
70. #19128266C22semidirect
71. #19128265C22semidirect
72. #19128264C22semidirect
73. #19128252C22semidirect
74. #19128251C22semidirect
75. #19128250C22semidirect
76. #19128250C22semidirect
77. #19128249C22semidirect
78. #19128248C22semidirect
79. #19128247C22semidirect
80. #19128247C22semidirect
81. #19128246C22semidirect
82. C4⋊Q8×D83C22semidirect
83. #127×D83C22semidirect
84. C2×#14581781C22semidirect
85. C2×#14581780C22semidirect
86. C2×#14581779C22semidirect
87. C2×#14581778C22semidirect
88. #124×D83C22semidirect
89. #124×D83C22semidirect
90. #124×D83C22semidirect
91. #124×D83C22semidirect
92. #124×D83C22semidirect
93. #124×D83C22semidirect
94. #124×D83C22semidirect
95. #123×D83C22semidirect
96. C22⋊Q8×D83C22semidirect
97. #121×D83C22semidirect
98. #121×D83C22semidirect
99. #120×D83C22semidirect
100. #41×Dic83C22semidirect
101. C4×#13050591C22semidirect
102. C4×#13050590C22semidirect
103. #19128169C22semidirect
104. C4×#13050589C22semidirect
105. C4×Q8×D83C22semidirect
106. C4×D4×D83C22semidirect
107. C4×D4×D83C22semidirect
108. #117×D83C22semidirect
109. C2×C22⋊C4×D83C22semidirect
110. C2×C42×D83C22semidirect
111. C2×2−1+4×C83C22semidirect
112. C2×H(5,𝔽2)×C83C22semidirect
113. #548×C83C22semidirect
114. #546×C83C22semidirect
115. #536×C83C22semidirect
116. #535×C83C22semidirect
117. #532×C83C22semidirect
118. C2×#124×C83C22semidirect
119. C4×#41×C83C22semidirect
134. C2×#13050591C23semidirect
135. C2×#13050591C23semidirect
140. C2×#13050590C23semidirect
141. C2×#13050590C23semidirect
142. C2×#13050590C23semidirect
143. C2×#13050590C23semidirect
148. C2×#13050589C23semidirect
149. C2×#13050589C23semidirect
150. C2×#13050589C23semidirect
151. C2×#13050589C23semidirect
156. #41×D83D4semidirect
157. C22×Dic166C23semidirect
158. C22×Dic166C23semidirect
159. C22×Dic166C23semidirect
166. C2×Q8×D83C23semidirect
167. C2×Q8×D83C23semidirect
168. C2×Q8×D83C23semidirect
169. C2×Q8×D83C23semidirect
193. #14581792C23semidirect
194. #14581791C23semidirect
195. #14581790C23semidirect
196. #14581790C23semidirect
197. #14581789C23semidirect
198. #14581788C23semidirect
199. #14581788C23semidirect
200. #14581788C23semidirect
201. #14581781C23semidirect
202. #14581781C23semidirect
203. #14581781C23semidirect
204. #14581781C23semidirect
205. #14581780C23semidirect
206. #14581780C23semidirect
207. #14581780C23semidirect
208. #14581780C23semidirect
209. #14581779C23semidirect
210. #14581779C23semidirect
211. #14581779C23semidirect
212. #14581779C23semidirect
213. #14581778C23semidirect
214. #14581778C23semidirect
215. #14581778C23semidirect
216. #14581778C23semidirect
217. #14581778C23semidirect
218. #14581777C23semidirect
219. #14581776C23semidirect
220. #14581775C23semidirect
221. #14581774C23semidirect
222. #14581773C23semidirect
223. #14581772C23semidirect
224. #14581771C23semidirect
225. #14581770C23semidirect
226. #14581769C23semidirect
227. #14581768C23semidirect
228. #14581767C23semidirect
229. #14581767C23semidirect
230. #14581766C23semidirect
231. #14581766C23semidirect
232. #14581765C23semidirect
233. #14581765C23semidirect
234. #14581765C23semidirect
235. #14581764C23semidirect
236. #14581764C23semidirect
237. #14581764C23semidirect
238. #14581763C23semidirect
239. #14581763C23semidirect
240. #14581762C23semidirect
241. #14581762C23semidirect
242. #14581761C23semidirect
243. #14581760C23semidirect
244. #14581760C23semidirect
245. Q8×Dic83C23semidirect
246. C4×Dic166C23semidirect
247. #14581757C23semidirect
248. C4×D332C23semidirect
249. C4×D332C23semidirect
250. D4×Dic83C23semidirect
251. D4×Dic83C23semidirect
252. #14581754C23semidirect
253. #14581754C23semidirect
254. C4×C22⋊D83C23semidirect
255. C4×C22⋊D83C23semidirect
256. C4×C22⋊D83C23semidirect
257. (C22⋊D83)⋊C4C23semidirect
258. (C22⋊D83)⋊C4C23semidirect
259. (C22⋊D83)⋊C4C23semidirect
260. #14581751C23semidirect
261. #14581750C23semidirect
262. #14581749C23semidirect
263. #14581748C23semidirect
266. C2×C22⋊Dic83C23semidirect
267. C2×(C2×D83)⋊C4C23semidirect
268. C2×(C2×D83)⋊C4C23semidirect
273. C22⋊C4×D83C23semidirect
274. C22⋊C4×D83C23semidirect
275. C2×C4×Dic83C23semidirect
276. C2×C4×Dic83C23semidirect
280. C42×D83C23semidirect
281. C42×D83C23semidirect
282. C42×D83C23semidirect
288. C2×#41×C83C23semidirect
289. C2×#41×C83C23semidirect
290. C22×Q8×C83C23semidirect
291. C22×Q8×C83C23semidirect
294. C4⋊Q8×C83C23semidirect
295. #127×C83C23semidirect
296. #124×C83C23semidirect
297. #124×C83C23semidirect
298. #124×C83C23semidirect
299. #124×C83C23semidirect
300. #123×C83C23semidirect
301. C22⋊Q8×C83C23semidirect
302. #121×C83C23semidirect
303. #121×C83C23semidirect
304. #120×C83C23semidirect
305. C4×Q8×C83C23semidirect
306. C4×D4×C83C23semidirect
307. C4×D4×C83C23semidirect
308. #117×C83C23semidirect
309. C2×C22⋊C4×C83C23semidirect
310. C2×C42×C83C23semidirect
322. #13050591C2×D4semidirect
330. #13050590C2×D4semidirect
338. #13050589C2×D4semidirect
443. #41×C83C2×D4semidirect
607. D83#3500direct (N × H)
619. #3500D83direct (N × H)
627. C83C2×#3500semidirect
634. C2×2−1+4C2×D83semidirect
641. C2×H(5,𝔽2)C2×D83semidirect
658. #548C2×D83semidirect
670. #546C2×D83semidirect
678. #536C2×D83semidirect
686. #535C2×D83semidirect
696. #532C2×D83semidirect
710. C2×#124C2×D83semidirect
721. C4×#41C2×D83semidirect
770. C2×#41C22×D83semidirect
771. C2×#41C22×D83semidirect
785. C22×Q8C22×D83semidirect
786. C22×Q8C22×D83semidirect
816. C4⋊Q8C22×D83semidirect
821. #127C22×D83semidirect
839. #124C22×D83semidirect
840. #124C22×D83semidirect
841. #124C22×D83semidirect
842. #124C22×D83semidirect
848. #123C22×D83semidirect
854. C22⋊Q8C22×D83semidirect
867. #121C22×D83semidirect
868. #121C22×D83semidirect
874. #120C22×D83semidirect
878. C4×Q8C22×D83semidirect
891. C4×D4C22×D83semidirect
892. C4×D4C22×D83semidirect
897. #117C22×D83semidirect
909. C2×C22⋊C4C22×D83semidirect
918. C2×C42C22×D83semidirect
952. #41D4×D83semidirect

Maximal subgroups

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

subgroupindex
C2×2−1+4×D832
C2×H(5,𝔽2)×D832
#249212572
#249212562
#249212552
#249212542
#249212532
#249212522
#249212512
#249212502
#249212492
#548×D832
#546×D832
#536×D832
#535×D832
#532×D832
C2×#124×D832
C4×#41×D832
C83×#35002
C2×#350083