Finite Group Databasebeta

← #3517×D83 #36312652

Subgroups — #3517×D83 #36312652

Order 21248.

7854 conjugacy classes of subgroups.

The subgroup lattice has 1380 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#24921470C211yesmaximal, characteristic, complemented
2#24921469C211yesmaximal, characteristic, complemented
3#24921468C213yesmaximal, complemented
4#24921467C213yesmaximal, complemented
5#24921466C213yesmaximal, complemented
6#24921465C216yesmaximal, complemented
7#24921464C211yesmaximal, characteristic, complemented
8#24921463C212yesmaximal, complemented
9#24921462C216yesmaximal, complemented
10#24921461C213yesmaximal, complemented
11#24921460C212yesmaximal, complemented
12#557×D83C211yesmaximal, characteristic, complemented
13#553×D83C216yesmaximal, complemented
14#550×D83C212yesmaximal, complemented
15#550×D83C211yesmaximal, characteristic, complemented
16#550×D83C213yesmaximal, complemented
17#547×D83C213yesmaximal, complemented
18#540×D83C216yesmaximal, complemented
19#532×D83C213yesmaximal, complemented
20#529×D83C213yesmaximal, complemented
21#520×D83C212yesmaximal, complemented
22C4×#41×D83C211yesmaximal, characteristic, complemented
23C83×#3517C211yesmaximal, characteristic, complemented
24C2×#41×D83C2211yescharacteristic
25C2×#41×D83C2212yes—
26C2×#41×D83C2216yes—
27#19128430C2211yescharacteristic, complemented
28#19128429C2213yescomplemented
29#19128428C2216yescomplemented
30#19128427C2212yescomplemented
31#19128426C2213yescomplemented
32#19128404C2216yescomplemented
33#19128403C2216yescomplemented
34#19128402C22112yescomplemented
35#19128401C2216yescomplemented
36#19128400C22112yescomplemented
37#19128399C2216yescomplemented
38#19128398C2216yescomplemented
39#19128397C2216yescomplemented
40#19128396C22112yescomplemented
41#19128395C2216yescomplemented
42#19128394C22112yescomplemented
43#19128373C2212yescomplemented
44#19128373C2213yescomplemented
45#19128373C2211yescharacteristic, complemented
46#19128372C2216yescomplemented
47#19128372C2216yescomplemented
48#19128372C2213yescomplemented
49#19128372C2213yescomplemented
50#19128371C2216yescomplemented
51#19128371C2213yescomplemented
52#19128371C2213yescomplemented
53#19128371C2216yescomplemented
54#19128370C2212yescomplemented
55#19128370C2212yescomplemented
56#19128370C2216yescomplemented
57#19128370C2212yescomplemented
58#19128369C2216yescomplemented
59#19128369C22112yescomplemented
60#19128369C2216yescomplemented
61#19128369C2216yescomplemented
62#19128369C2216yescomplemented
63#19128356C2213yescomplemented
64#19128355C2213yescomplemented
65#19128354C2213yescomplemented
66#19128353C2216yescomplemented
67#19128352C2216yescomplemented
68#19128351C2216yescomplemented
69#19128350C2216yescomplemented
70#19128349C22112yescomplemented
71#19128307C2216yescomplemented
72#19128306C2216yescomplemented
73#19128305C2216yescomplemented
74#19128304C2216yescomplemented
75#19128304C2216yescomplemented
76#19128303C22112yescomplemented
77#19128303C22112yescomplemented
78#19128302C2216yescomplemented
79#19128302C2216yescomplemented
80#19128301C22112yescomplemented
81#19128301C22112yescomplemented
82#19128252C2213yescomplemented
83#19128251C2213yescomplemented
84#19128250C2216yescomplemented
85#19128249C2213yescomplemented
86#19128248C2216yescomplemented
87#19128248C2216yescomplemented
88#19128247C2216yescomplemented
89#19128246C2216yescomplemented
90#19128246C2216yescomplemented
91C4⋊Q8×D83C2213yes—
92#127×D83C2213yes—
93#127×D83C2216yes—
94#19128238C2213yescomplemented
95#19128237C2213yescomplemented
96#19128236C2213yescomplemented
97#19128235C2213yescomplemented
98#19128234C2216yescomplemented
99#19128233C2213yescomplemented
100#19128232C2213yescomplemented
101#19128231C2216yescomplemented
102#19128230C2213yescomplemented
103#19128229C2216yescomplemented
104#19128228C2216yescomplemented
105#126×D83C2216yes—
106#125×D83C2211yescharacteristic
107#125×D83C2216yes—
108#124×D83C2213yes—
109#123×D83C22112yes—
110#123×D83C2216yes—
111C22⋊Q8×D83C2213yes—
112#121×D83C2216yes—
113#121×D83C2213yes—
114#121×D83C2216yes—
115#121×D83C22112yes—
116#121×D83C2216yes—
117#121×D83C2216yes—
118#19128184C2212yescomplemented
119#19128183C2212yescomplemented
120#19128183C2212yescomplemented
121#19128182C2216yescomplemented
122#19128181C2216yescomplemented
123#19128180C2216yescomplemented
124#19128180C2216yescomplemented
125#41×Dic83C2211yescharacteristic, complemented
126C4×#13050591C2211yescharacteristic, complemented
127C4×#13050591C2211yescharacteristic, complemented
128C4×#13050590C2213yescomplemented
129#19128169C2213yescomplemented
130C4×#13050589C2213yescomplemented
131C4×#13050589C2213yescomplemented
132C4×Q8×D83C2211yescharacteristic
133C4×Q8×D83C2211yescharacteristic
134C4×Q8×D83C2212yes—
135C4×Q8×D83C2213yes—
136C4×D4×D83C2213yes—
137C4×D4×D83C2213yes—
138C4×D4×D83C2216yes—
139C4×D4×D83C2216yes—
140C4×D4×D83C2213yes—
141C4×D4×D83C2216yes—
142C4×D4×D83C2216yes—
143#117×D83C2213yes—
144#117×D83C2216yes—
145C2×C4⋊C4×D83C2216yes—
146C2×C42×D83C2213yes—
147#557×C83C2211yescharacteristic, complemented
148#553×C83C2216yescomplemented
149#550×C83C2212yescomplemented
150#550×C83C2211yescharacteristic, complemented
151#550×C83C2213yescomplemented
152#547×C83C2213yescomplemented
153#540×C83C2216yescomplemented
154#532×C83C2213yescomplemented
155#529×C83C2213yescomplemented
156#520×C83C2212yescomplemented
157C4×#41×C83C2211yescharacteristic, complemented
158C2×#13050591C2311yescharacteristic
159C2×#13050591C2312yes—
160C2×#13050591C2316yes—
161C2×#13050590C2313yes—
162C2×#13050590C2316yes—
163C2×#13050590C23112yes—
164C2×#13050590C2316yes—
165C2×#13050589C2313yes—
166C2×#13050589C2316yes—
167C2×#13050589C23112yes—
168C2×#13050589C2316yes—
169#41×D83—28no—
170#41×D83—216no—
171#41×D83—424no—
172C2×Q8×D83C2313yes—
173C2×Q8×D83C2311yescharacteristic
174C2×D4×D83C2313yes—
175C2×D4×D83C2316yes—
176C2×D4×D83C2313yes—
177C2×D4×D83C2316yes—
178C2×D4×D83C2316yes—
179C2×D4×D83C23112yes—
180C22×C4×D83C2313yes—
181C22×C4×D83C2313yes—
182C22×C4×D83C2316yes—
183C22×C4×D83C2313yes—
184C22×C4×D83C23112yes—
185#14581792C2313yes—
186#14581791C2316yes—
187#14581791C2316yes—
188#14581790C2316yes—
189#14581789C2313yes—
190#14581789C2316yes—
191#14581788C2316yes—
192#14581788C23112yes—
193#14581788C23112yes—
194#14581788C2316yes—
195#14581788C2316yes—
196#14581788C2316yes—
197#14581788C2316yes—
198#14581787C2316yes—
199#14581787C2316yes—
200#14581787C2316yes—
201#14581786C2316yes—
202#14581785C2316yes—
203#14581785C2316yes—
204#14581785C2316yes—
205#14581784C2316yes—
206#14581784C2311yescharacteristic
207#14581783C2316yes—
208#14581783C2316yes—
209#14581783C2311yescharacteristic
210#14581783C2311yescharacteristic
211#14581782C23112yes—
212#14581782C23112yes—
213#14581782C2312yes—
214#14581782C2312yes—
215#14581781C2313yes—
216#14581780C2313yes—
217#14581779C2313yes—
218#14581778C2316yes—
219#14581778C2316yes—
220#14581777C23112yes—
221#14581777C23112yes—
222#14581777C2316yes—
223#14581777C2316yes—
224#14581776C23112yes—
225#14581776C2316yes—
226#14581775C23112yes—
227#14581775C2316yes—
228#14581774C23112yes—
229#14581774C23112yes—
230#14581774C2316yes—
231#14581774C2316yes—
232#14581773C23112yes—
233#14581773C2316yes—
234#14581772C2313yes—
235#14581771C2313yes—
236#14581770C2316yes—
237#14581769C2316yes—
238#14581768C2313yes—
239#14581767C2316yes—
240#14581767C2313yes—
241#14581767C2316yes—
242#14581767C2316yes—
243#14581767C23112yes—
244#14581767C2316yes—
245#14581766C2316yes—
246#14581766C2313yes—
247#14581766C2316yes—
248#14581766C2316yes—
249#14581766C23112yes—
250#14581766C2316yes—
251#14581765C23112yes—
252#14581765C2316yes—
253#14581765C23112yes—
254#14581765C23112yes—
255#14581765C23112yes—
256#14581765C23112yes—
257#14581765C23112yes—
258#14581764C23112yes—
259#14581764C2316yes—
260#14581764C23112yes—
261#14581764C23112yes—
262#14581764C23112yes—
263#14581764C23112yes—
264#14581764C23112yes—
265#14581763C2316yes—
266#14581763C2313yes—
267#14581763C23112yes—
268#14581763C2316yes—
269#14581763C2316yes—
270#14581763C2316yes—
271Q8×Dic83C2313yes—
272Q8×Dic83C2311yescharacteristic
273Q8×Dic83C2312yes—
274Q8×Dic83C2311yescharacteristic
275C4×Dic166C2313yes—
276C4×Dic166C2313yes—
277C4×Dic166C2316yes—
278C4×Dic166C2316yes—
279C4×Dic166C2313yes—
280#14581757C2313yes—
281#14581757C2316yes—
282#14581757C2316yes—
283#14581757C2313yes—
284#14581757C2313yes—
285C4×D332C2313yes—
286C4×D332C2313yes—
287C4×D332C2316yes—
288C4×D332C2316yes—
289C4×D332C2316yes—
290C4×D332C2313yes—
291C4×D332C2316yes—
292D4×Dic83C2313yes—
293D4×Dic83C2313yes—
294D4×Dic83C2316yes—
295D4×Dic83C2316yes—
296D4×Dic83C2316yes—
297D4×Dic83C2313yes—
298D4×Dic83C2316yes—
299#14581754C2313yes—
300#14581754C2313yes—
301#14581754C2316yes—
302#14581754C2316yes—
303#14581754C2316yes—
304#14581754C2313yes—
305#14581754C2316yes—
306C4×C22⋊D83C2316yes—
307C4×C22⋊D83C2316yes—
308C4×C22⋊D83C2316yes—
309C4×C22⋊D83C23112yes—
310C4×C22⋊D83C2316yes—
311C4×C22⋊D83C23112yes—
312C4×C22⋊D83C2316yes—
313C4×C22⋊D83C23112yes—
314(C22⋊D83)⋊C4C2316yes—
315(C22⋊D83)⋊C4C2316yes—
316(C22⋊D83)⋊C4C23112yes—
317(C22⋊D83)⋊C4C2316yes—
318(C22⋊D83)⋊C4C2316yes—
319(C22⋊D83)⋊C4C23112yes—
320(C22⋊D83)⋊C4C2316yes—
321(C22⋊D83)⋊C4C23112yes—
322#14581751C2313yes—
323#14581751C2316yes—
324#14581750C2313yes—
325#14581750C2313yes—
326#14581750C2316yes—
327#14581750C2316yes—
328#14581749C2316yes—
329#14581749C2316yes—
330#14581749C2316yes—
331#14581748C2316yes—
332#14581748C2316yes—
333#14581748C2316yes—
334C2×C4⋊Dic83C2316yes—
335C2×Dic83⋊C4C23112yes—
336C4⋊C4×D83C23112yes—
337C4⋊C4×D83C2316yes—
338C4⋊C4×D83C2316yes—
339C4⋊C4×D83C2313yes—
340C4⋊C4×D83C2316yes—
341C4⋊C4×D83C2316yes—
342C4⋊C4×D83C2312yes—
343C4⋊C4×D83C2313yes—
344C4⋊C4×D83C2311yescharacteristic
345C4⋊C4×D83C2312yes—
346C4⋊C4×D83C2316yes—
347C4⋊C4×D83C2311yescharacteristic
348C4⋊C4×D83C2316yes—
349C22⋊C4×D83C2316yes—
350C22⋊C4×D83C2316yes—
351C22⋊C4×D83C2316yes—
352C22⋊C4×D83C2316yes—
353C22⋊C4×D83C2316yes—
354C22⋊C4×D83C2316yes—
355C2×C4×Dic83C2313yes—
356C2×C4×Dic83C2313yes—
357C2×C4×Dic83C2313yes—
358C42×D83C2311yescharacteristic
359C42×D83C2313yes—
360C42×D83C2313yes—
361C42×D83C2313yes—
362C42×D83C2313yes—
363C42×D83C2313yes—
364C42×D83C2313yes—
365C42×D83C2313yes—
366C42×D83C2316yes—
367C2×#41×C83C2311yescharacteristic
368C2×#41×C83C2312yes—
369C2×#41×C83C2316yes—
370C4⋊Q8×C83C2313yes—
371#127×C83C2313yes—
372#127×C83C2316yes—
373#126×C83C2316yes—
374#125×C83C2311yescharacteristic
375#125×C83C2316yes—
376#124×C83C2313yes—
377#123×C83C23112yes—
378#123×C83C2316yes—
379C22⋊Q8×C83C2313yes—
380#121×C83C2316yes—
381#121×C83C2313yes—
382#121×C83C2316yes—
383#121×C83C23112yes—
384#121×C83C2316yes—
385#121×C83C2316yes—
386C4×Q8×C83C2311yescharacteristic
387C4×Q8×C83C2312yes—
388C4×Q8×C83C2313yes—
389C4×Q8×C83C2311yescharacteristic
390C4×D4×C83C2313yes—
391C4×D4×C83C2313yes—
392C4×D4×C83C2316yes—
393C4×D4×C83C2316yes—
394C4×D4×C83C2313yes—
395C4×D4×C83C2316yes—
396C4×D4×C83C2316yes—
397#117×C83C2313yes—
398#117×C83C2316yes—
399C2×C4⋊C4×C83C2316yes—
400C2×C42×C83C2313yes—
401C23×D83C2413yes—
402C23×D83C2416yes—
403#13050591—24no—
404#13050591—28no—
405#13050591—412no—
406#13050590—212no—
407#13050590—224no—
408#13050590—424no—
409#13050590—412no—
410#13050589—212no—
411#13050589—224no—
412#13050589—412no—
413#13050589—424no—
414C2×Dic166C2416yes—
415C2×Dic166C2413yes—
416C2×Dic166C2413yes—
417Q8×D83—212no—
418Q8×D83#4118yescomplemented
419C2×D332C2413yes—
420C2×D332C2416yes—
421C2×D332C2413yes—
422C2×D332C2416yes—
423C2×D332C24112yes—
424C2×D332C2416yes—
425C2×C22⋊D83C2416yes—
426C2×C22⋊D83C24112yes—
427C2×C22⋊D83C2416yes—
428C2×C22⋊D83C24112yes—
429C2×C22⋊D83C24112yes—
430C2×C22⋊D83C2416yes—
431C2×C22⋊D83C24112yes—
432C2×C22⋊D83C2416yes—
433D4×D83—212no—
434D4×D83—224no—
435D4×D83—212no—
436D4×D83—412no—
437D4×D83—412no—
438D4×D83—424no—
439C22×Dic83C2413yes—
440C22×Dic83C2416yes—
441C22×Dic83C2413yes—
442C22×Dic83C2413yes—
443C22×Dic83C24112yes—
444C2×C4×D83—212no—
445C2×C4×D83—224no—
446C2×C4×D83—212no—
447C2×C4×D83—46no—
448C2×C4×D83—424no—
449C2×C4×D83C2413yes—
450C2×C4×D83C2416yes—
451C2×C4×D83C2413yes—
452C2×C4×D83C2413yes—
453C2×C4×D83C2416yes—
454C2×C4×D83C2413yes—
455C2×C4×D83C2413yes—
456C2×C4×D83C2411yescharacteristic
457C2×C4×D83C2411yescharacteristic
458C2×C4×D83C2412yes—
459C2×C4×D83C2416yes—
460C2×C4×D83C2413yes—
461C2×C4×D83C2412yes—
462C2×C4×D83C2413yes—
463C2×C4×D83C24112yes—
464C2×C4×D83C2413yes—
465C2×C4×D83C24112yes—
466C2×C4×D83C2413yes—
467C2×C4×D83C2411yescharacteristic
468C4⋊Dic83C2411yescharacteristic
469C4⋊Dic83C2416yes—
470C4⋊Dic83C2413yes—
471C4⋊Dic83C2416yes—
472C4⋊Dic83C2416yes—
473C4⋊Dic83C2411yescharacteristic
474C4⋊Dic83C2416yes—
475C4⋊Dic83C2412yes—
476C4⋊Dic83C2412yes—
477C4⋊Dic83C2413yes—
478Dic83⋊C4C2412yes—
479Dic83⋊C4C2416yes—
480Dic83⋊C4C2416yes—
481Dic83⋊C4C2416yes—
482Dic83⋊C4C24112yes—
483Dic83⋊C4C24112yes—
484Dic83⋊C4C2416yes—
485Dic83⋊C4C2412yes—
486Dic83⋊C4C2416yes—
487Dic83⋊C4C2412yes—
488Dic83⋊C4C2412yes—
489Dic83⋊C4C2412yes—
490Dic83⋊C4C2412yes—
491Dic83⋊C4C2416yes—
492C22⋊Dic83C2416yes—
493C22⋊Dic83C2416yes—
494C22⋊Dic83C2416yes—
495C22⋊Dic83C2416yes—
496C22⋊Dic83C2416yes—
497C22⋊Dic83C2416yes—
498(C2×D83)⋊C4C2416yes—
499(C2×D83)⋊C4C2416yes—
500(C2×D83)⋊C4C2416yes—
501(C2×D83)⋊C4C2416yes—
502(C2×D83)⋊C4C2416yes—
503(C2×D83)⋊C4C2416yes—
504(C2×D83)⋊C4C2416yes—
505(C2×D83)⋊C4C2416yes—
506(C2×D83)⋊C4C2416yes—
507(C2×D83)⋊C4C2416yes—
508(C2×D83)⋊C4C2416yes—
509(C2×D83)⋊C4C2416yes—
510C4×Dic83C2411yescharacteristic
511C4×Dic83C2411yescharacteristic
512C4×Dic83C2411yescharacteristic
513C4×Dic83C2416yes—
514C4×Dic83C2416yes—
515C4×Dic83C2416yes—
516C4×Dic83C2413yes—
517C4×Dic83C2413yes—
518C4×Dic83C2413yes—
519C4×Dic83C2413yes—
520C4×Dic83C2413yes—
521C4×Dic83C2413yes—
522C4×Dic83C2413yes—
523C4×Dic83C2413yes—
524C4×Dic83C2413yes—
525#41×C83—24no—
526#41×C83—28no—
527#41×C83—412no—
528C2×Q8×C83C2413yes—
529C2×Q8×C83C2411yescharacteristic
530C2×D4×C83C2413yes—
531C2×D4×C83C2416yes—
532C2×D4×C83C2413yes—
533C2×D4×C83C2416yes—
534C2×D4×C83C24112yes—
535C2×D4×C83C2416yes—
536C22×C4×C83C2413yes—
537C22×C4×C83C2416yes—
538C22×C4×C83C2413yes—
539C22×C4×C83C2413yes—
540C22×C4×C83C24112yes—
541C4⋊C4×C83C2411yescharacteristic
542C4⋊C4×C83C2416yes—
543C4⋊C4×C83C2413yes—
544C4⋊C4×C83C2416yes—
545C4⋊C4×C83C2416yes—
546C4⋊C4×C83C2416yes—
547C4⋊C4×C83C2411yescharacteristic
548C4⋊C4×C83C2412yes—
549C4⋊C4×C83C2412yes—
550C4⋊C4×C83C2413yes—
551C22⋊C4×C83C2416yes—
552C22⋊C4×C83C2416yes—
553C22⋊C4×C83C2416yes—
554C22⋊C4×C83C2416yes—
555C22⋊C4×C83C2416yes—
556C22⋊C4×C83C2416yes—
557C42×C83C2411yescharacteristic
558C42×C83C2416yes—
559C42×C83C2413yes—
560C42×C83C2413yes—
561C42×C83C2413yes—
562C23×C83C2513yes—
563C23×C83C2516yes—
564C22×D83—26no—
565C22×D83—212no—
566C22×D83—26no—
567C22×D83—212no—
568C22×D83—26no—
569C22×D83—212no—
570C22×D83C2513yes—
571C22×D83C2516yes—
572C22×D83C2511yescharacteristic
573Q8×C83—26no—
574Q8×C83C2×#4114yescomplemented
575D4×C83—26no—
576D4×C83—212no—
577D4×C83—26no—
578D4×C83—412no—
579D4×C83—46no—
580D4×C83—46no—
581C2×C4×C83—26no—
582C2×C4×C83—212no—
583C2×C4×C83—26no—
584C2×C4×C83—412no—
585C2×C4×C83—43no—
586C2×C4×C83C2511yescharacteristic
587C2×C4×C83C2511yescharacteristic
588C2×C4×C83C2512yes—
589C2×C4×C83C2513yes—
590C2×C4×C83C2513yes—
591C2×C4×C83C2516yes—
592C2×C4×C83C2512yes—
593C2×C4×C83C2513yes—
594C2×C4×C83C2511yescharacteristic
595C22⋊D83—212no—
596C22⋊D83—224no—
597C22⋊D83—212no—
598C22⋊D83—412no—
599C22⋊D83—46no—
600C22⋊D83—46no—
601C22⋊D83—412no—
602C22⋊D83—412no—
603C2×Dic83—26no—
604C2×Dic83—212no—
605C2×Dic83—26no—
606C2×Dic83—43no—
607C2×Dic83—412no—
608C2×Dic83C2511yescharacteristic
609C2×Dic83C2511yescharacteristic
610C2×Dic83C2512yes—
611C2×Dic83C2513yes—
612C2×Dic83C2513yes—
613C2×Dic83C2516yes—
614C2×Dic83C2512yes—
615C2×Dic83C2513yes—
616C2×Dic83C2511yescharacteristic
617D332—26no—
618D332—212no—
619D332—26no—
620D332—46no—
621D332—46no—
622D332—412no—
623C4×D83—22no—
624C4×D83—24no—
625C4×D83—26no—
626C4×D83—212no—
627C4×D83—22no—
628C4×D83—26no—
629C4×D83—24no—
630C4×D83—26no—
631C4×D83—212no—
632C4×D83—26no—
633C4×D83—26no—
634C4×D83—212no—
635C4×D83—26no—
636C4×D83—43no—
637C4×D83—43no—
638C4×D83—412no—
639C4×D83—412no—
640C4×D83C2×#41112yes—
641C4×D83H(5,𝔽2)14yes—
642Dic166—26no—
643Dic166—212no—
644Dic166C2×#41112yescomplemented
645C22×C83—23no—
646C22×C83—26no—
647C22×C83—23no—
648C22×C83—26no—
649C22×C83—23no—
650C22×C83—26no—
651C22×C83C2611yescharacteristic
652C2×D83—23no—
653C2×D83—26no—
654C2×D83—23no—
655C2×D83—26no—
656C2×D83—23no—
657C2×D83—26no—
658C2×D83—412no—
659C2×D83—424no—
660C2×D83C22×#4112yes—
661C2×D83C2×H(5,𝔽2)12yes—
662C2×D83#58512yes—
663C4×C83—21no—
664C4×C83—22no—
665C4×C83—26no—
666C4×C83—23no—
667C4×C83—21no—
668C4×C83—23no—
669C4×C83—22no—
670C4×C83C22×#4116yes—
671C4×C83C2×H(5,𝔽2)12yes—
672Dic83—21no—
673Dic83—22no—
674Dic83—26no—
675Dic83—23no—
676Dic83—21no—
677Dic83—23no—
678Dic83—22no—
679Dic83C22×#4116yes—
680Dic83C2×H(5,𝔽2)12yes—
681C2×#3517—831nomaximal, Sylow
682C2×C83—43no—
683C2×C83—46no—
684C2×C83C23×#4111yescharacteristic
685C2×C83C22×H(5,𝔽2)11yescharacteristic
686C2×C83C2×#58511yescharacteristic
687D83—43no—
688D83—46no—
689D83#351714yesdirect product factor
690#3517—831no—
691#3517—836no—
692#3517—832no—
693#3517—831no—
694#3517—833no—
695#3517—833no—
696#3517—836no—
697#3517—833no—
698#3517—833no—
699#3517—832no—
700#3517—831no—
701#3517D8311yescharacteristic, direct product factor
702C2×#557—831no—
703C2×#553—836no—
704C2×#550—833no—
705C2×#550—831no—
706C2×#550—832no—
707C2×#547—833no—
708C2×#540—836no—
709C2×#532—833no—
710C2×#529—833no—
711C2×#520—832no—
712C2×C4×#41—831no—
713C83C2×#351711yescharacteristic, complemented, Sylow
714C22×#41—836no—
715C22×#41—831no—
716C22×#41—832no—
717#557—833no—
718#557—836no—
719#557—832no—
720#557—833no—
721#557—831no—
722#557C2×D8311yescharacteristic, complemented
723#553—8312no—
724#553—836no—
725#553—8312no—
726#553—8312no—
727#553—836no—
728#553—836no—
729#553—836no—
730#553—8312no—
731#553—836no—
732#553—836no—
733#553—836no—
734#553C2×D8316yescomplemented
735#550—836no—
736#550—832no—
737#550—832no—
738#550—832no—
739#550—836no—
740#550—833no—
741#550—833no—
742#550—836no—
743#550—836no—
744#550—8312no—
745#550—836no—
746#550—836no—
747#550—836no—
748#550—833no—
749#550—831no—
750#550—832no—
751#550—836no—
752#550—833no—
753#550—833no—
754#550—836no—
755#550C2×D8313yescomplemented
756#550C2×D8311yescharacteristic, complemented
757#550C2×D8312yescomplemented
758#547—836no—
759#547—833no—
760#547—8312no—
761#547—836no—
762#547—836no—
763#547—833no—
764#547—833no—
765#547—836no—
766#547C2×D8313yescomplemented
767#540—836no—
768#540—836no—
769#540—8312no—
770#540—8312no—
771#540—8312no—
772#540—8312no—
773#540—836no—
774#540—836no—
775#540—836no—
776#540—836no—
777#540—836no—
778#540C2×D8316yescomplemented
779#532—836no—
780#532—833no—
781#532—833no—
782#532—836no—
783#532—836no—
784#532—836no—
785#532—836no—
786#532—836no—
787#532—833no—
788#532C2×D8313yescomplemented
789C2×C4⋊Q8—833no—
790C2×#127—833no—
791C2×#127—836no—
792#529—836no—
793#529—833no—
794#529—833no—
795#529—836no—
796#529—833no—
797#529—833no—
798#529—833no—
799#529—836no—
800#529—833no—
801#529—836no—
802#529—833no—
803#529C2×D8313yescomplemented
804C2×#126—836no—
805C2×#125—831no—
806C2×#125—836no—
807C2×#124—833no—
808C2×#123—836no—
809C2×#123—8312no—
810C2×C22⋊Q8—833no—
811C2×#121—833no—
812C2×#121—836no—
813C2×#121—836no—
814C2×#121—836no—
815C2×#121—8312no—
816C2×#121—836no—
817#520—832no—
818#520—832no—
819#520—832no—
820#520—836no—
821#520—836no—
822#520—836no—
823#520—836no—
824#520C2×D8312yescomplemented
825C4×#41—831no—
826C4×#41—831no—
827C4×#41—831no—
828C4×#41—833no—
829C4×#41—833no—
830C4×#41—833no—
831C4×#41—833no—
832C4×#41C2×D8311yescharacteristic, complemented
833C2×C4×Q8—831no—
834C2×C4×Q8—831no—
835C2×C4×Q8—832no—
836C2×C4×Q8—833no—
837C2×C4×D4—833no—
838C2×C4×D4—833no—
839C2×C4×D4—836no—
840C2×C4×D4—836no—
841C2×C4×D4—833no—
842C2×C4×D4—836no—
843C2×C4×D4—836no—
844C2×#117—833no—
845C2×#117—836no—
846C22×C4⋊C4—836no—
847C22×C42—833no—
848C2×#41—33224no—
849C2×#41—836no—
850C2×#41—831no—
851C2×#41—832no—
852C2×#41—836no—
853C2×#41—8312no—
854C2×#41—833no—
855C2×#41—836no—
856C2×#41—836no—
857C2×#41—8312no—
858C2×#41—833no—
859C2×#41—836no—
860C2×#41—1668no—
861C2×#41—16616no—
862C2×#41C22×D8311yescharacteristic
863C2×#41C22×D8312yes—
864C2×#41C22×D8316yes—
865C22×Q8—831no—
866C22×Q8—833no—
867C22×D4—836no—
868C22×D4—836no—
869C22×D4—8312no—
870C22×D4—833no—
871C22×D4—836no—
872C22×D4—833no—
873C23×C4—8312no—
874C23×C4—833no—
875C23×C4—836no—
876C23×C4—833no—
877C23×C4—833no—
878C4⋊Q8—836no—
879C4⋊Q8—836no—
880C4⋊Q8—836no—
881C4⋊Q8—833no—
882C4⋊Q8C22×D8313yes—
883#127—836no—
884#127—836no—
885#127—836no—
886#127—836no—
887#127—836no—
888#127—8312no—
889#127—8312no—
890#127—833no—
891#127—836no—
892#127C22×D8313yes—
893#127C22×D8316yes—
894#126—836no—
895#126—836no—
896#126—836no—
897#126—836no—
898#126—836no—
899#126—836no—
900#126—836no—
901#126C22×D8316yes—
902#125—832no—
903#125—832no—
904#125—831no—
905#125—831no—
906#125—8312no—
907#125—8312no—
908#125—836no—
909#125—836no—
910#125—831no—
911#125—836no—
912#125C22×D8311yescharacteristic
913#125C22×D8316yes—
914#124—833no—
915#124—833no—
916#124—836no—
917#124—836no—
918#124—833no—
919#124C22×D8313yes—
920#123—836no—
921#123—8312no—
922#123—836no—
923#123—8312no—
924#123—836no—
925#123—836no—
926#123—8312no—
927#123—8312no—
928#123—836no—
929#123—836no—
930#123—8312no—
931#123—8312no—
932#123—836no—
933#123—8312no—
934#123C22×D8316yes—
935#123C22×D83112yes—
936C22⋊Q8—833no—
937C22⋊Q8—833no—
938C22⋊Q8—836no—
939C22⋊Q8—833no—
940C22⋊Q8—836no—
941C22⋊Q8C22×D8313yes—
942#121—833no—
943#121—836no—
944#121—836no—
945#121—836no—
946#121—8312no—
947#121—836no—
948#121—836no—
949#121—8312no—
950#121—8312no—
951#121—8312no—
952#121—8312no—
953#121—8312no—
954#121—8312no—
955#121—833no—
956#121—836no—
957#121—836no—
958#121—836no—
959#121—8312no—
960#121—836no—
961#121—833no—
962#121—836no—
963#121—836no—
964#121—836no—
965#121—8312no—
966#121—836no—
967#121—836no—
968#121—8312no—
969#121—8312no—
970#121—8312no—
971#121—8312no—
972#121—8312no—
973#121—8312no—
974#121C22×D8313yes—
975#121C22×D8316yes—
976#121C22×D8316yes—
977#121C22×D8316yes—
978#121C22×D83112yes—
979#121C22×D8316yes—
980C4×Q8—831no—
981C4×Q8—831no—
982C4×Q8—832no—
983C4×Q8—833no—
984C4×Q8—833no—
985C4×Q8—833no—
986C4×Q8—836no—
987C4×Q8—836no—
988C4×Q8—833no—
989C4×Q8—833no—
990C4×Q8—833no—
991C4×Q8—836no—
992C4×Q8—836no—
993C4×Q8—833no—
994C4×Q8C22×D8311yescharacteristic
995C4×Q8C22×D8311yescharacteristic
996C4×Q8C22×D8312yes—
997C4×Q8C22×D8313yes—
998C4×D4—833no—
999C4×D4—833no—
1000C4×D4—836no—
1001C4×D4—836no—
1002C4×D4—833no—
1003C4×D4—836no—
1004C4×D4—836no—
1005C4×D4—836no—
1006C4×D4—836no—
1007C4×D4—8312no—
1008C4×D4—8312no—
1009C4×D4—836no—
1010C4×D4—836no—
1011C4×D4—836no—
1012C4×D4—8312no—
1013C4×D4—833no—
1014C4×D4—833no—
1015C4×D4—836no—
1016C4×D4—836no—
1017C4×D4—833no—
1018C4×D4—836no—
1019C4×D4—836no—
1020C4×D4—836no—
1021C4×D4—836no—
1022C4×D4—8312no—
1023C4×D4—8312no—
1024C4×D4—836no—
1025C4×D4—836no—
1026C4×D4—836no—
1027C4×D4—8312no—
1028C4×D4—833no—
1029C4×D4—833no—
1030C4×D4—836no—
1031C4×D4—836no—
1032C4×D4—833no—
1033C4×D4—836no—
1034C4×D4—836no—
1035C4×D4C22×D8313yes—
1036C4×D4C22×D8313yes—
1037C4×D4C22×D8316yes—
1038C4×D4C22×D8316yes—
1039C4×D4C22×D8313yes—
1040C4×D4C22×D8316yes—
1041C4×D4C22×D8316yes—
1042#117—833no—
1043#117—836no—
1044#117—833no—
1045#117—833no—
1046#117—836no—
1047#117—836no—
1048#117—836no—
1049#117—836no—
1050#117—836no—
1051#117—836no—
1052#117—836no—
1053#117—836no—
1054#117C22×D8313yes—
1055#117C22×D8316yes—
1056C2×C4⋊C4—8312no—
1057C2×C4⋊C4—836no—
1058C2×C4⋊C4—833no—
1059C2×C4⋊C4—836no—
1060C2×C4⋊C4—836no—
1061C2×C4⋊C4—8312no—
1062C2×C4⋊C4—836no—
1063C2×C4⋊C4—836no—
1064C2×C4⋊C4—832no—
1065C2×C4⋊C4—833no—
1066C2×C4⋊C4—831no—
1067C2×C4⋊C4—832no—
1068C2×C4⋊C4—836no—
1069C2×C4⋊C4—831no—
1070C2×C4⋊C4—836no—
1071C2×C4⋊C4C22×D8316yes—
1072C2×C22⋊C4—836no—
1073C2×C22⋊C4—836no—
1074C2×C22⋊C4—836no—
1075C2×C22⋊C4—836no—
1076C2×C22⋊C4—836no—
1077C2×C22⋊C4—836no—
1078C2×C42—833no—
1079C2×C42—833no—
1080C2×C42—833no—
1081C2×C42—833no—
1082C2×C42—833no—
1083C2×C42—836no—
1084C2×C42—833no—
1085C2×C42—833no—
1086C2×C42—833no—
1087C2×C42—833no—
1088C2×C42—833no—
1089C2×C42—831no—
1090C2×C42C22×D8313yes—
1091C24—836no—
1092C24—833no—
1093#41—24no—
1094#41—28no—
1095#41—412no—
1096#41—33212no—
1097#41—33224no—
1098#41—33212no—
1099#41—33224no—
1100#41—33212no—
1101#41—16612no—
1102#41—16624no—
1103#41—16612no—
1104#41—16624no—
1105#41—1664no—
1106#41—1668no—
1107C2×Q8—838no—
1108C2×Q8—833no—
1109C2×Q8—836no—
1110C2×Q8—833no—
1111C2×Q8—16612no—
1112C2×Q8C23×D8313yes—
1113C2×Q8C23×D8311yescharacteristic
1114C2×D4—33224no—
1115C2×D4—33212no—
1116C2×D4—33212no—
1117C2×D4—8312no—
1118C2×D4—836no—
1119C2×D4—836no—
1120C2×D4—8312no—
1121C2×D4—8312no—
1122C2×D4—836no—
1123C2×D4—8312no—
1124C2×D4—836no—
1125C2×D4—836no—
1126C2×D4—836no—
1127C2×D4—8312no—
1128C2×D4—833no—
1129C2×D4—836no—
1130C2×D4—833no—
1131C2×D4—16612no—
1132C2×D4—16612no—
1133C2×D4—16624no—
1134C2×D4C23×D8313yes—
1135C2×D4C23×D8316yes—
1136C2×D4C23×D8313yes—
1137C2×D4C23×D8316yes—
1138C2×D4C23×D8316yes—
1139C2×D4C23×D83112yes—
1140C22×C4—33224no—
1141C22×C4—3326no—
1142C22×C4—833no—
1143C22×C4—8312no—
1144C22×C4—833no—
1145C22×C4—833no—
1146C22×C4—8312no—
1147C22×C4—8312no—
1148C22×C4—833no—
1149C22×C4—831no—
1150C22×C4—833no—
1151C22×C4—833no—
1152C22×C4—836no—
1153C22×C4—831no—
1154C22×C4—831no—
1155C22×C4—832no—
1156C22×C4—833no—
1157C22×C4—833no—
1158C22×C4—833no—
1159C22×C4—833no—
1160C22×C4—833no—
1161C22×C4—833no—
1162C22×C4—836no—
1163C22×C4—832no—
1164C22×C4—836no—
1165C22×C4—836no—
1166C22×C4—16612no—
1167C22×C4—16624no—
1168C22×C4—16612no—
1169C22×C4C23×D8313yes—
1170C22×C4C23×D8313yes—
1171C22×C4C23×D8316yes—
1172C22×C4C23×D8313yes—
1173C22×C4C23×D83112yes—
1174C4⋊C4—836no—
1175C4⋊C4—833no—
1176C4⋊C4—836no—
1177C4⋊C4—836no—
1178C4⋊C4—836no—
1179C4⋊C4—8312no—
1180C4⋊C4—836no—
1181C4⋊C4—832no—
1182C4⋊C4—832no—
1183C4⋊C4—832no—
1184C4⋊C4—836no—
1185C4⋊C4—833no—
1186C4⋊C4—832no—
1187C4⋊C4—831no—
1188C4⋊C4—832no—
1189C4⋊C4—832no—
1190C4⋊C4—832no—
1191C4⋊C4—8312no—
1192C4⋊C4—836no—
1193C4⋊C4—832no—
1194C4⋊C4—831no—
1195C4⋊C4—836no—
1196C4⋊C4—836no—
1197C4⋊C4—836no—
1198C4⋊C4C23×D8313yes—
1199C4⋊C4C23×D8316yes—
1200C4⋊C4C23×D8316yes—
1201C4⋊C4C23×D8312yes—
1202C4⋊C4C23×D8313yes—
1203C4⋊C4C23×D8311yescharacteristic
1204C4⋊C4C23×D8312yes—
1205C4⋊C4C23×D8316yes—
1206C4⋊C4C23×D8311yescharacteristic
1207C4⋊C4C23×D8316yes—
1208C22⋊C4—836no—
1209C22⋊C4—836no—
1210C22⋊C4—836no—
1211C22⋊C4—836no—
1212C22⋊C4—836no—
1213C22⋊C4—836no—
1214C22⋊C4—836no—
1215C22⋊C4—836no—
1216C22⋊C4—836no—
1217C22⋊C4—836no—
1218C22⋊C4—836no—
1219C22⋊C4—836no—
1220C22⋊C4—836no—
1221C22⋊C4—836no—
1222C22⋊C4—836no—
1223C22⋊C4—836no—
1224C22⋊C4—836no—
1225C22⋊C4—836no—
1226C22⋊C4C23×D8316yes—
1227C22⋊C4C23×D8316yes—
1228C22⋊C4C23×D8316yes—
1229C22⋊C4C23×D8316yes—
1230C22⋊C4C23×D8316yes—
1231C22⋊C4C23×D8316yes—
1232C42—831no—
1233C42—831no—
1234C42—831no—
1235C42—833no—
1236C42—833no—
1237C42—833no—
1238C42—833no—
1239C42—833no—
1240C42—833no—
1241C42—833no—
1242C42—833no—
1243C42—833no—
1244C42—836no—
1245C42—836no—
1246C42—836no—
1247C42C23×D8311yescharacteristic
1248C42C23×D8313yes—
1249C42C23×D8313yes—
1250C42C23×D8313yes—
1251C42C23×D8316yes—
1252C23—831no—
1253C23—836no—
1254C23—833no—
1255C23—16612no—
1256C23—1666no—
1257C23—1666no—
1258C23—16612no—
1259C23—1666no—
1260C23—16612no—
1261C23C24×D8313yes—
1262C23C24×D8316yes—
1263Q8—26no—
1264Q8—8312no—
1265Q8—16612no—
1266Q8—1666no—
1267Q8#41×D8314yescomplemented
1268D4—26no—
1269D4—212no—
1270D4—26no—
1271D4—412no—
1272D4—46no—
1273D4—46no—
1274D4—33212no—
1275D4—3326no—
1276D4—3326no—
1277D4—33212no—
1278D4—33212no—
1279D4—33212no—
1280D4—3326no—
1281D4—3326no—
1282D4—16612no—
1283D4—16612no—
1284D4—16624no—
1285D4—1666no—
1286D4—16612no—
1287D4—1666no—
1288C2×C4—26no—
1289C2×C4—212no—
1290C2×C4—26no—
1291C2×C4—412no—
1292C2×C4—43no—
1293C2×C4—33212no—
1294C2×C4—33212no—
1295C2×C4—3323no—
1296C2×C4—3323no—
1297C2×C4—33212no—
1298C2×C4—3323no—
1299C2×C4—833no—
1300C2×C4—831no—
1301C2×C4—8312no—
1302C2×C4—834no—
1303C2×C4—831no—
1304C2×C4—831no—
1305C2×C4—832no—
1306C2×C4—833no—
1307C2×C4—833no—
1308C2×C4—836no—
1309C2×C4—832no—
1310C2×C4—1666no—
1311C2×C4—1666no—
1312C2×C4—16612no—
1313C2×C4—1666no—
1314C2×C4—1662no—
1315C2×C4—16612no—
1316C2×C4—1666no—
1317C2×C4—1662no—
1318C2×C4—1664no—
1319C2×C4—1664no—
1320C2×C4—1666no—
1321C2×C4—1666no—
1322C2×C4—16612no—
1323C2×C4—1666no—
1324C2×C4—16612no—
1325C2×C4—1666no—
1326C2×C4C24×D8311yescharacteristic
1327C2×C4C24×D8311yescharacteristic
1328C2×C4C24×D8312yes—
1329C2×C4C24×D8313yes—
1330C2×C4C24×D8313yes—
1331C2×C4C24×D8316yes—
1332C2×C4C24×D8312yes—
1333C2×C4C24×D8313yes—
1334C2×C4C24×D8311yescharacteristic
1335C22—23no—
1336C22—26no—
1337C22—23no—
1338C22—26no—
1339C22—23no—
1340C22—26no—
1341C22—33224no—
1342C22—33212no—
1343C22—832no—
1344C22—832no—
1345C22—832no—
1346C22—1666no—
1347C22—1663no—
1348C22—1666no—
1349C22—1663no—
1350C22—1663no—
1351C22—1666no—
1352C22C25×D8311yescharacteristic
1353C4—21no—
1354C4—22no—
1355C4—23no—
1356C4—26no—
1357C4—21no—
1358C4—23no—
1359C4—22no—
1360C4—836no—
1361C4—832no—
1362C4—1661no—
1363C4—1662no—
1364C4—1663no—
1365C4—1666no—
1366C4—1661no—
1367C4—1663no—
1368C4—1662no—
1369C4C2×#41×D8316yes—
1370C4H(5,𝔽2)×D8312yes—
1371C2—43no—
1372C2—46no—
1373C2—3326no—
1374C2—3323no—
1375C2—834no—
1376C2C22×#41×D8311yescharacteristic
1377C2C2×H(5,𝔽2)×D8311yescharacteristic
1378C2#585×D8311yescharacteristic
subgroupG/H
center, FrattiniC22C25×D83
commutator, socle, cosocleC22×C83C26
FittingC83×#3517C2
hypercenter#3517D83
hypocenterC83C2×#3517
LCSG ▷ C22×C83 ▷ C83
UCSC1 ◁ C22 ◁ #3517

Complements

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

NH ≅ G/Ntype
1. #24921470C2semidirect
2. #24921469C2semidirect
3. #24921468C2semidirect
4. #24921467C2semidirect
5. #24921466C2semidirect
6. #24921465C2semidirect
7. #24921464C2semidirect
8. #24921463C2semidirect
9. #24921462C2semidirect
10. #24921461C2semidirect
11. #24921460C2semidirect
12. #557×D83C2semidirect
13. #553×D83C2semidirect
14. #550×D83C2semidirect
15. #550×D83C2semidirect
16. #550×D83C2semidirect
17. #547×D83C2semidirect
18. #540×D83C2semidirect
19. #532×D83C2semidirect
20. #529×D83C2semidirect
21. #520×D83C2semidirect
22. C4×#41×D83C2semidirect
23. C83×#3517C2semidirect
27. #19128430C22semidirect
28. #19128429C22semidirect
29. #19128428C22semidirect
30. #19128427C22semidirect
31. #19128426C22semidirect
32. #19128404C22semidirect
33. #19128403C22semidirect
34. #19128402C22semidirect
35. #19128401C22semidirect
36. #19128400C22semidirect
37. #19128399C22semidirect
38. #19128398C22semidirect
39. #19128397C22semidirect
40. #19128396C22semidirect
41. #19128395C22semidirect
42. #19128394C22semidirect
43. #19128373C22semidirect
44. #19128373C22semidirect
45. #19128373C22semidirect
46. #19128372C22semidirect
47. #19128372C22semidirect
48. #19128372C22semidirect
49. #19128372C22semidirect
50. #19128371C22semidirect
51. #19128371C22semidirect
52. #19128371C22semidirect
53. #19128371C22semidirect
54. #19128370C22semidirect
55. #19128370C22semidirect
56. #19128370C22semidirect
57. #19128370C22semidirect
58. #19128369C22semidirect
59. #19128369C22semidirect
60. #19128369C22semidirect
61. #19128369C22semidirect
62. #19128369C22semidirect
63. #19128356C22semidirect
64. #19128355C22semidirect
65. #19128354C22semidirect
66. #19128353C22semidirect
67. #19128352C22semidirect
68. #19128351C22semidirect
69. #19128350C22semidirect
70. #19128349C22semidirect
71. #19128307C22semidirect
72. #19128306C22semidirect
73. #19128305C22semidirect
74. #19128304C22semidirect
75. #19128304C22semidirect
76. #19128303C22semidirect
77. #19128303C22semidirect
78. #19128302C22semidirect
79. #19128302C22semidirect
80. #19128301C22semidirect
81. #19128301C22semidirect
82. #19128252C22semidirect
83. #19128251C22semidirect
84. #19128250C22semidirect
85. #19128249C22semidirect
86. #19128248C22semidirect
87. #19128248C22semidirect
88. #19128247C22semidirect
89. #19128246C22semidirect
90. #19128246C22semidirect
94. #19128238C22semidirect
95. #19128237C22semidirect
96. #19128236C22semidirect
97. #19128235C22semidirect
98. #19128234C22semidirect
99. #19128233C22semidirect
100. #19128232C22semidirect
101. #19128231C22semidirect
102. #19128230C22semidirect
103. #19128229C22semidirect
104. #19128228C22semidirect
118. #19128184C22semidirect
119. #19128183C22semidirect
120. #19128183C22semidirect
121. #19128182C22semidirect
122. #19128181C22semidirect
123. #19128180C22semidirect
124. #19128180C22semidirect
125. #41×Dic83C22semidirect
126. C4×#13050591C22semidirect
127. C4×#13050591C22semidirect
128. C4×#13050590C22semidirect
129. #19128169C22semidirect
130. C4×#13050589C22semidirect
131. C4×#13050589C22semidirect
147. #557×C83C22semidirect
148. #553×C83C22semidirect
149. #550×C83C22semidirect
150. #550×C83C22semidirect
151. #550×C83C22semidirect
152. #547×C83C22semidirect
153. #540×C83C22semidirect
154. #532×C83C22semidirect
155. #529×C83C22semidirect
156. #520×C83C22semidirect
157. C4×#41×C83C22semidirect
418. Q8×D83#41semidirect
574. Q8×C83C2×#41semidirect
644. Dic166C2×#41semidirect
689. D83#3517direct (N × H)
701. #3517D83direct (N × H)
713. C83C2×#3517semidirect
722. #557C2×D83semidirect
734. #553C2×D83semidirect
755. #550C2×D83semidirect
756. #550C2×D83semidirect
757. #550C2×D83semidirect
766. #547C2×D83semidirect
778. #540C2×D83semidirect
788. #532C2×D83semidirect
803. #529C2×D83semidirect
824. #520C2×D83semidirect
832. C4×#41C2×D83semidirect
1267. Q8#41×D83semidirect

Maximal subgroups

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

subgroupindex
#249214702
#249214692
#249214682
#249214672
#249214662
#249214652
#249214642
#249214632
#249214622
#249214612
#249214602
#557×D832
#553×D832
#550×D832
#547×D832
#540×D832
#532×D832
#529×D832
#520×D832
C4×#41×D832
C83×#35172
C2×#351783