Finite Group Databasebeta

← #3370×D83 #36284145

Subgroups — #3370×D83 #36284145

Order 21248.

1950 conjugacy classes of subgroups.

The subgroup lattice has 1726 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#559×D83C211yesmaximal, characteristic, complemented
2#554×D83C211yesmaximal, characteristic, complemented
3#24920223C211yesmaximal, characteristic, complemented
4#24920222C211yesmaximal, characteristic, complemented
5#24920221C211yesmaximal, characteristic, complemented
6#24920220C211yesmaximal, characteristic, complemented
7#24920219C211yesmaximal, characteristic, complemented
8#24920218C211yesmaximal, characteristic, complemented
9#24920217C211yesmaximal, characteristic, complemented
10#24920216C211yesmaximal, characteristic, complemented
11#24920215C211yesmaximal, characteristic, complemented
12#24920214C211yesmaximal, characteristic, complemented
13#24920213C211yesmaximal, characteristic, complemented
14#24920212C211yesmaximal, characteristic, complemented
15#24920211C211yesmaximal, characteristic, complemented
16#24920210C211yesmaximal, characteristic, complemented
17#24920209C211yesmaximal, characteristic, complemented
18#490×D83C211yesmaximal, characteristic, complemented
19#489×D83C211yesmaximal, characteristic, complemented
20#488×D83C211yesmaximal, characteristic, complemented
21#479×D83C211yesmaximal, characteristic, complemented
22#478×D83C211yesmaximal, characteristic, complemented
23#474×D83C211yesmaximal, characteristic, complemented
24#463×D83C211yesmaximal, characteristic, complemented
25#463×D83C211yesmaximal, characteristic, complemented
26#459×D83C211yesmaximal, characteristic
27#446×D83C211yesmaximal, characteristic, complemented
28#442×D83C211yesmaximal, characteristic, complemented
29#440×D83C211yesmaximal, characteristic, complemented
30C4×D8×D83C211yesmaximal, characteristic, complemented
31C83×#3370C211yesmaximal, characteristic, complemented
32C2×SD16×D83C2211yescharacteristic
33C2×D8×D83C2211yescharacteristic
34C2×D8×D83C2211yescharacteristic
35#19128437C2211yescharacteristic, complemented
36#19128436C2211yescharacteristic, complemented
37#19128436C2211yescharacteristic, complemented
38#19128435—21no—
39#19128435—21no—
40#19128434—21no—
41#19128434C2211yescharacteristic, complemented
42#19128434C2211yescharacteristic, complemented
43#19128433—21no—
44#19128433C2211yescharacteristic, complemented
45#19128433C2211yescharacteristic, complemented
46#19128412C2211yescharacteristic, complemented
47#19128411C2211yescharacteristic, complemented
48#19128410C2211yescharacteristic, complemented
49#19128410C2211yescharacteristic, complemented
50#19128409—21no—
51#19128408C2211yescharacteristic, complemented
52#19128407C2211yescharacteristic, complemented
53#19128407C2211yescharacteristic, complemented
54#19128406—21no—
55#19128405—21no—
56#19128405—21no—
57C4⋊Q8×D83C2211yescharacteristic
58#127×D83C2211yescharacteristic
59#125×D83C2211yescharacteristic
60#125×D83C2211yescharacteristic
61#124×D83—21no—
62#124×D83C2211yescharacteristic
63#124×D83C2211yescharacteristic
64#123×D83—21no—
65#123×D83—21no—
66C22⋊Q8×D83—21no—
67C22⋊Q8×D83—21no—
68C22⋊Q8×D83—21no—
69C4×Q8×D83C2211yescharacteristic
70C4×Q8×D83C2211yescharacteristic
71C4×D4×D83—21no—
72C4×D4×D83C2211yescharacteristic
73C4×D4×D83C2211yescharacteristic
74C4×D4×D83C2211yescharacteristic
75C4×D4×D83C2211yescharacteristic
76C4×D4×D83C2211yescharacteristic
77C2×C4⋊C4×D83—21no—
78#19128067C2211yescharacteristic, complemented
79#19128066C2211yescharacteristic, complemented
80#19128065C2211yescharacteristic, complemented
81#19128064C2211yescharacteristic, complemented
82#19128064C2211yescharacteristic, complemented
83#19128064C2211yescharacteristic, complemented
84#19128064C2211yescharacteristic, complemented
85#19128063C2211yescharacteristic, complemented
86#19128062C2211yescharacteristic, complemented
87#19128062C2211yescharacteristic, complemented
88#19128061C2211yescharacteristic, complemented
89#19128060C2211yescharacteristic, complemented
90#19128059C2211yescharacteristic, complemented
91#19128059C2211yescharacteristic, complemented
92#19128058C2211yescharacteristic, complemented
93#19128057C2211yescharacteristic, complemented
94#19128057C2211yescharacteristic, complemented
95#19128056C2211yescharacteristic, complemented
96#19128055C2211yescharacteristic, complemented
97#19128054C2211yescharacteristic, complemented
98#19128054C2211yescharacteristic, complemented
99#19128011C2211yescharacteristic, complemented
100#19128010C2211yescharacteristic, complemented
101#19128009C2211yescharacteristic, complemented
102#19128008C2211yescharacteristic, complemented
103#19128007C2211yescharacteristic, complemented
104#19128006C2211yescharacteristic, complemented
105#19128005C2211yescharacteristic, complemented
106#19128004C2211yescharacteristic, complemented
107#19128003C2211yescharacteristic, complemented
108#19128002C2211yescharacteristic, complemented
109#19128001C2211yescharacteristic, complemented
110#19128000C2211yescharacteristic, complemented
111#19127999C2211yescharacteristic, complemented
112#19127998C2211yescharacteristic, complemented
113#19127982C2211yescharacteristic, complemented
114#19127981C2211yescharacteristic, complemented
115#19127980C2211yescharacteristic, complemented
116#19127980C2211yescharacteristic, complemented
117#19127979C2211yescharacteristic, complemented
118#19127979C2211yescharacteristic, complemented
119#19127978C2211yescharacteristic, complemented
120#19127919C2211yescharacteristic, complemented
121#19127919C2211yescharacteristic, complemented
122#19127918C2211yescharacteristic, complemented
123#19127918C2211yescharacteristic, complemented
124#19127917C2211yescharacteristic, complemented
125#19127917C2211yescharacteristic, complemented
126#19127916C2211yescharacteristic, complemented
127#19127916C2211yescharacteristic, complemented
128#19127915C2211yescharacteristic, complemented
129#19127915C2211yescharacteristic, complemented
130#19127914C2211yescharacteristic, complemented
131#19127914C2211yescharacteristic, complemented
132#19127913C2211yescharacteristic, complemented
133#19127913C2211yescharacteristic, complemented
134#19127897C2211yescharacteristic
135#19127896C2211yescharacteristic
136#19127895C2211yescharacteristic
137#19127895C2211yescharacteristic
138#19127894C2211yescharacteristic
139#19127894C2211yescharacteristic
140#19127893C2211yescharacteristic
141#19127832C2211yescharacteristic, complemented
142#19127831C2211yescharacteristic, complemented
143#19127830C2211yescharacteristic, complemented
144#19127830C2211yescharacteristic, complemented
145#19127829C2211yescharacteristic, complemented
146#19127829C2211yescharacteristic, complemented
147#19127828C2211yescharacteristic, complemented
148#19127814C2211yescharacteristic, complemented
149#19127813C2211yescharacteristic, complemented
150#19127812C2211yescharacteristic, complemented
151#19127811C2211yescharacteristic, complemented
152#19127811C2211yescharacteristic, complemented
153#19127810C2211yescharacteristic, complemented
154#19127810C2211yescharacteristic, complemented
155#19127804C2211yescharacteristic, complemented
156#19127803C2211yescharacteristic, complemented
157#19127802C2211yescharacteristic, complemented
158#19127801C2211yescharacteristic, complemented
159#19127800C2211yescharacteristic, complemented
160#19127799C2211yescharacteristic, complemented
161#19127798C2211yescharacteristic, complemented
162C4×D664C2211yescharacteristic, complemented
163D8×Dic83C2211yescharacteristic, complemented
164#19127783C2211yescharacteristic, complemented
165C4×#13050575C2211yescharacteristic, complemented
166C4×#13050575C2211yescharacteristic, complemented
167#19127781C2211yescharacteristic, complemented
168#19127781C2211yescharacteristic, complemented
169#107×D83C2211yescharacteristic
170#107×D83C2211yescharacteristic
171#106×D83C2211yescharacteristic
172C4⋊C8×D83C2211yescharacteristic
173C4⋊C8×D83C2211yescharacteristic
174C4⋊C8×D83C2211yescharacteristic
175#103×D83C2211yescharacteristic
176#103×D83C2211yescharacteristic
177#103×D83C2211yescharacteristic
178#102×D83C2211yescharacteristic
179#102×D83C2211yescharacteristic
180#102×D83C2211yescharacteristic
181#102×D83C2211yescharacteristic
182#102×D83C2211yescharacteristic
183#102×D83C2211yescharacteristic
184#102×D83C2211yescharacteristic
185#97×D83C2211yescharacteristic
186#97×D83C2211yescharacteristic
187C4×C8×D83C2211yescharacteristic
188#559×C83C2211yescharacteristic, complemented
189#554×C83C2211yescharacteristic, complemented
190#490×C83C2211yescharacteristic, complemented
191#489×C83C2211yescharacteristic, complemented
192#488×C83C2211yescharacteristic, complemented
193#479×C83C2211yescharacteristic, complemented
194#478×C83C2211yescharacteristic, complemented
195#474×C83C2211yescharacteristic, complemented
196#463×C83C2211yescharacteristic, complemented
197#463×C83C2211yescharacteristic, complemented
198#459×C83C2211yescharacteristic
199#446×C83C2211yescharacteristic, complemented
200#442×C83C2211yescharacteristic, complemented
201#440×C83C2211yescharacteristic, complemented
202C4×D8×C83C2211yescharacteristic, complemented
203C2×Q8×D83—21no—
204C2×Q8×D83D411yescharacteristic
205C2×Q8×D83C2311yescharacteristic
206C2×D4×D83—21no—
207C2×D4×D83—21no—
208C2×D4×D83C2311yescharacteristic
209C2×D4×D83C2311yescharacteristic
210C2×D4×D83C2311yescharacteristic
211C22×C4×D83—21no—
212C22×C4×D83—21no—
213C22×C4×D83—21no—
214C22×C4×D83—21no—
215C22×C4×D83—21no—
216C2×#13050579C2311yescharacteristic
217C2×#13050578C2311yescharacteristic
218C2×#13050577C2311yescharacteristic
219SD16×D83—24no—
220C2×D664C2311yescharacteristic
221C2×D664C2311yescharacteristic
222C2×#13050575C2311yescharacteristic
223C2×#13050575C2311yescharacteristic
224C2×#13050575C2311yescharacteristic
225C2×#13050575C2311yescharacteristic
226D8×D83—24no—
227D8×D83—24no—
228C2×C8×D83C2311yescharacteristic
229C2×C8×D83C2311yescharacteristic
230C2×C8×D83C2311yescharacteristic
231C2×C8×D83C2311yescharacteristic
232#14581792C2311yescharacteristic
233#14581791—21no—
234#14581791C2311yescharacteristic
235#14581791C2311yescharacteristic
236#14581790—21no—
237#14581789C2311yescharacteristic
238#14581788—21no—
239#14581788—21no—
240#14581788C2311yescharacteristic
241#14581788C2311yescharacteristic
242#14581784C2311yescharacteristic
243#14581784C2311yescharacteristic
244#14581783C2311yescharacteristic
245#14581783C2311yescharacteristic
246#14581783C2311yescharacteristic
247#14581783C2311yescharacteristic
248#14581782—21no—
249#14581782—21no—
250#14581782—21no—
251#14581782—21no—
252#14581781—21no—
253#14581781C2311yescharacteristic
254#14581781C2311yescharacteristic
255#14581780—21no—
256#14581780C2311yescharacteristic
257#14581780C2311yescharacteristic
258#14581779—21no—
259#14581779C2311yescharacteristic
260#14581779C2311yescharacteristic
261#14581778—21no—
262#14581778—21no—
263#14581778—21no—
264#14581778—21no—
265#14581778—21no—
266#14581778—21no—
267#14581778—21no—
268#14581778—21no—
269#14581777—21no—
270#14581777—21no—
271#14581777—21no—
272#14581777—21no—
273#14581776—21no—
274#14581776—21no—
275#14581775—21no—
276#14581775—21no—
277#14581774—21no—
278#14581774—21no—
279#14581774—21no—
280#14581774—21no—
281#14581773—21no—
282#14581773—21no—
283#14581772—21no—
284#14581772—21no—
285#14581772—21no—
286#14581771—21no—
287#14581771—21no—
288#14581771—21no—
289#14581770—21no—
290#14581770—21no—
291#14581770—21no—
292#14581770—21no—
293#14581770—21no—
294#14581770—21no—
295#14581769—21no—
296#14581769—21no—
297#14581769—21no—
298#14581769—21no—
299#14581769—21no—
300#14581769—21no—
301#14581768—21no—
302#14581768—21no—
303#14581768—21no—
304Q8×Dic83D411yescharacteristic
305Q8×Dic83C2311yescharacteristic
306C4×Dic166—21no—
307C4×Dic166C2311yescharacteristic
308C4×Dic166C2311yescharacteristic
309C4×Dic166C2311yescharacteristic
310C4×Dic166C2311yescharacteristic
311#14581757—21no—
312#14581757D411yescharacteristic
313#14581757D411yescharacteristic
314#14581757D411yescharacteristic
315#14581757C2311yescharacteristic
316C4×D332—21no—
317C4×D332C2311yescharacteristic
318C4×D332C2311yescharacteristic
319C4×D332C2311yescharacteristic
320C4×D332C2311yescharacteristic
321C4×D332C2311yescharacteristic
322D4×Dic83—21no—
323D4×Dic83C2311yescharacteristic
324D4×Dic83C2311yescharacteristic
325D4×Dic83C2311yescharacteristic
326D4×Dic83C2311yescharacteristic
327D4×Dic83C2311yescharacteristic
328#14581754—21no—
329#14581754C2311yescharacteristic
330#14581754C2311yescharacteristic
331#14581754C2311yescharacteristic
332#14581754C2311yescharacteristic
333#14581754C2311yescharacteristic
334C4×C22⋊D83—21no—
335C4×C22⋊D83—21no—
336C4×C22⋊D83—21no—
337C4×C22⋊D83—21no—
338C4×C22⋊D83—21no—
339C4×C22⋊D83—21no—
340C4×C22⋊D83—21no—
341(C22⋊D83)⋊C4—21no—
342(C22⋊D83)⋊C4—21no—
343(C22⋊D83)⋊C4—21no—
344(C22⋊D83)⋊C4—21no—
345(C22⋊D83)⋊C4—21no—
346(C22⋊D83)⋊C4—21no—
347(C22⋊D83)⋊C4—21no—
348C2×C4⋊Dic83—21no—
349C2×Dic83⋊C4—21no—
350C2×Dic83⋊C4—21no—
351C4⋊C4×D83—21no—
352C4⋊C4×D83—21no—
353C4⋊C4×D83—21no—
354C4⋊C4×D83—21no—
355C4⋊C4×D83—21no—
356C4⋊C4×D83—21no—
357C4⋊C4×D83—21no—
358C4⋊C4×D83—21no—
359C4⋊C4×D83—21no—
360C4⋊C4×D83—21no—
361C4⋊C4×D83D411yescharacteristic
362C4⋊C4×D83D411yescharacteristic
363C4⋊C4×D83D411yescharacteristic
364C4⋊C4×D83C2311yescharacteristic
365C4⋊C4×D83C2311yescharacteristic
366C4⋊C4×D83C2311yescharacteristic
367C4⋊C4×D83C2311yescharacteristic
368C22⋊C4×D83—21no—
369C22⋊C4×D83—21no—
370C22⋊C4×D83—21no—
371C22⋊C4×D83—21no—
372C22⋊C4×D83—21no—
373C22⋊C4×D83—21no—
374C22⋊C4×D83—21no—
375C22⋊C4×D83—21no—
376C22⋊C4×D83—21no—
377C42×D83—21no—
378C42×D83C2311yescharacteristic
379C42×D83C2311yescharacteristic
380C42×D83C2311yescharacteristic
381#14581726C2311yescharacteristic
382#14581726C2311yescharacteristic
383#14581725C2311yescharacteristic
384#14581725C2311yescharacteristic
385#14581725C2311yescharacteristic
386#14581725C2311yescharacteristic
387#14581724C2311yescharacteristic
388#14581723C2311yescharacteristic
389#14581723C2311yescharacteristic
390C4⋊(C83⋊C8)C2311yescharacteristic
391C4⋊(C83⋊C8)C2311yescharacteristic
392C4⋊(C83⋊C8)C2311yescharacteristic
393Dic83⋊C8C2311yescharacteristic
394Dic83⋊C8C2311yescharacteristic
395Dic83⋊C8C2311yescharacteristic
396Dic83⋊C8C2311yescharacteristic
397Dic83⋊C8C2311yescharacteristic
398Dic83⋊C8C2311yescharacteristic
399#14581717C2311yescharacteristic
400#14581717C2311yescharacteristic
401#14581717C2311yescharacteristic
402#14581716C2311yescharacteristic
403#14581716C2311yescharacteristic
404#14581716C2311yescharacteristic
405#14581715C2311yescharacteristic
406#14581715C2311yescharacteristic
407#14581715C2311yescharacteristic
408#14581714C2311yescharacteristic
409#14581714C2311yescharacteristic
410#14581714C2311yescharacteristic
411#14581714C2311yescharacteristic
412#14581714C2311yescharacteristic
413#14581714C2311yescharacteristic
414#14581714C2311yescharacteristic
415#14581713C2311yescharacteristic
416#14581713C2311yescharacteristic
417#14581713C2311yescharacteristic
418#14581713C2311yescharacteristic
419#14581713C2311yescharacteristic
420#14581713C2311yescharacteristic
421#14581713C2311yescharacteristic
422#14581712C2311yescharacteristic
423#14581712C2311yescharacteristic
424#14581712C2311yescharacteristic
425#14581712C2311yescharacteristic
426#14581712C2311yescharacteristic
427#14581712C2311yescharacteristic
428#14581712C2311yescharacteristic
429#14581703C2311yescharacteristic
430#14581703C2311yescharacteristic
431#14581702C2311yescharacteristic
432#14581702C2311yescharacteristic
433#14581702C2311yescharacteristic
434#14581702C2311yescharacteristic
435C4×C83⋊C8C2311yescharacteristic
436C8×Dic83C2311yescharacteristic
437C8×Dic83C2311yescharacteristic
438C2×SD16×C83C2311yescharacteristic
439C2×D8×C83C2311yescharacteristic
440C2×D8×C83C2311yescharacteristic
441C4⋊Q8×C83C2311yescharacteristic
442#127×C83C2311yescharacteristic
443#125×C83C2311yescharacteristic
444#125×C83C2311yescharacteristic
445#124×C83—21no—
446#124×C83C2311yescharacteristic
447#124×C83C2311yescharacteristic
448#123×C83—21no—
449#123×C83—21no—
450C22⋊Q8×C83—21no—
451C22⋊Q8×C83—21no—
452C22⋊Q8×C83—21no—
453C4×Q8×C83C2311yescharacteristic
454C4×Q8×C83C2311yescharacteristic
455C4×D4×C83—21no—
456C4×D4×C83C2311yescharacteristic
457C4×D4×C83C2311yescharacteristic
458C4×D4×C83C2311yescharacteristic
459C4×D4×C83C2311yescharacteristic
460C4×D4×C83C2311yescharacteristic
461C2×C4⋊C4×C83—21no—
462#107×C83C2311yescharacteristic
463#107×C83C2311yescharacteristic
464#106×C83C2311yescharacteristic
465C4⋊C8×C83C2311yescharacteristic
466C4⋊C8×C83C2311yescharacteristic
467C4⋊C8×C83C2311yescharacteristic
468#103×C83C2311yescharacteristic
469#103×C83C2311yescharacteristic
470#103×C83C2311yescharacteristic
471#102×C83C2311yescharacteristic
472#102×C83C2311yescharacteristic
473#102×C83C2311yescharacteristic
474#102×C83C2311yescharacteristic
475#102×C83C2311yescharacteristic
476#102×C83C2311yescharacteristic
477#102×C83C2311yescharacteristic
478#97×C83C2311yescharacteristic
479#97×C83C2311yescharacteristic
480C4×C8×C83C2311yescharacteristic
481C23×D83—21no—
482C23×D83—21no—
483C23×D83—21no—
484C2×Dic166—21no—
485C2×Dic166—21no—
486C2×Dic166—21no—
487C2×Dic166—21no—
488C2×Dic166C2×D411yescharacteristic
489C2×Dic166C2×D411yescharacteristic
490C2×Dic166C2×D411yescharacteristic
491C2×Dic166C2411yescharacteristic
492Q8×D83—22no—
493Q8×D83—22no—
494Q8×D83—42no—
495Q8×D83—82no—
496C2×D332—21no—
497C2×D332—21no—
498C2×D332C2411yescharacteristic
499C2×D332C2411yescharacteristic
500C2×D332C2411yescharacteristic
501C2×C22⋊D83—21no—
502C2×C22⋊D83—21no—
503C2×C22⋊D83—21no—
504C2×C22⋊D83—21no—
505C2×C22⋊D83—21no—
506C2×C22⋊D83—21no—
507C2×C22⋊D83—21no—
508D4×D83—22no—
509D4×D83—22no—
510D4×D83—22no—
511D4×D83—22no—
512D4×D83—22no—
513D4×D83—44no—
514D4×D83—82no—
515D4×D83#4114yes—
516C22×Dic83—21no—
517C22×Dic83—21no—
518C22×Dic83—21no—
519C22×Dic83—21no—
520C22×Dic83—21no—
521C2×C4×D83—21no—
522C2×C4×D83—21no—
523C2×C4×D83—21no—
524C2×C4×D83—21no—
525C2×C4×D83—21no—
526C2×C4×D83—21no—
527C2×C4×D83—21no—
528C2×C4×D83—21no—
529C2×C4×D83—21no—
530C2×C4×D83—21no—
531C2×C4×D83—21no—
532C2×C4×D83—21no—
533C2×C4×D83—21no—
534C2×C4×D83—21no—
535C2×C4×D83—21no—
536C2×C4×D83—44no—
537C2×C4×D83—82no—
538C2×C4×D83—82no—
539C2×C4×D83—82no—
540C2×C4×D83—82no—
541C2×C4×D83C2×D411yescharacteristic
542C2×C4×D83C2×D411yescharacteristic
543C2×C4×D83C2×D411yescharacteristic
544C2×C4×D83C2×D411yescharacteristic
545C2×C4×D83C2×D411yescharacteristic
546C2×C4×D83C2×D411yescharacteristic
547C2×C4×D83C2411yescharacteristic
548#13050579—22no—
549#13050578—22no—
550#13050577—22no—
551D664—22no—
552D664—22no—
553#13050575—22no—
554#13050575—22no—
555#13050575—22no—
556#13050575—22no—
557C2×C83⋊C8C2411yescharacteristic
558C2×C83⋊C8C2411yescharacteristic
559C2×C83⋊C8C2411yescharacteristic
560C2×C83⋊C8C2411yescharacteristic
561C8×D83—22no—
562C8×D83—22no—
563C8×D83—22no—
564C8×D83—22no—
565C4⋊Dic83—21no—
566C4⋊Dic83—21no—
567C4⋊Dic83—21no—
568C4⋊Dic83—21no—
569C4⋊Dic83—21no—
570C4⋊Dic83—21no—
571C4⋊Dic83C2×D411yescharacteristic
572C4⋊Dic83C2×D411yescharacteristic
573C4⋊Dic83C2×D411yescharacteristic
574C4⋊Dic83C2411yescharacteristic
575C4⋊Dic83C2411yescharacteristic
576C4⋊Dic83C2411yescharacteristic
577C4⋊Dic83C2411yescharacteristic
578Dic83⋊C4—21no—
579Dic83⋊C4—21no—
580Dic83⋊C4—21no—
581Dic83⋊C4—21no—
582Dic83⋊C4—21no—
583Dic83⋊C4—21no—
584Dic83⋊C4—21no—
585Dic83⋊C4—21no—
586Dic83⋊C4—21no—
587Dic83⋊C4—21no—
588Dic83⋊C4—21no—
589Dic83⋊C4—21no—
590Dic83⋊C4—21no—
591Dic83⋊C4—21no—
592Dic83⋊C4—21no—
593Dic83⋊C4—21no—
594Dic83⋊C4C2×D411yescharacteristic
595Dic83⋊C4C2×D411yescharacteristic
596Dic83⋊C4C2×D411yescharacteristic
597Dic83⋊C4C2×D411yescharacteristic
598Dic83⋊C4C2×D411yescharacteristic
599Dic83⋊C4C2×D411yescharacteristic
600C22⋊Dic83—21no—
601C22⋊Dic83—21no—
602C22⋊Dic83—21no—
603C22⋊Dic83—21no—
604C22⋊Dic83—21no—
605C22⋊Dic83—21no—
606C22⋊Dic83—21no—
607C22⋊Dic83—21no—
608C22⋊Dic83—21no—
609(C2×D83)⋊C4—21no—
610(C2×D83)⋊C4—21no—
611(C2×D83)⋊C4—21no—
612(C2×D83)⋊C4—21no—
613(C2×D83)⋊C4—21no—
614(C2×D83)⋊C4—21no—
615(C2×D83)⋊C4—21no—
616(C2×D83)⋊C4—21no—
617(C2×D83)⋊C4—21no—
618(C2×D83)⋊C4—21no—
619(C2×D83)⋊C4—21no—
620(C2×D83)⋊C4—21no—
621(C2×D83)⋊C4—21no—
622(C2×D83)⋊C4—21no—
623(C2×D83)⋊C4—21no—
624(C2×D83)⋊C4—21no—
625(C2×D83)⋊C4—21no—
626(C2×D83)⋊C4—21no—
627C4×Dic83—21no—
628C4×Dic83—21no—
629C4×Dic83—21no—
630C4×Dic83C2×D411yescharacteristic
631C4×Dic83C2×D411yescharacteristic
632C4×Dic83C2×D411yescharacteristic
633C4×Dic83C2×D411yescharacteristic
634C4×Dic83C2×D411yescharacteristic
635C4×Dic83C2×D411yescharacteristic
636C4×Dic83C2411yescharacteristic
637C4×Dic83C2411yescharacteristic
638C4×Dic83C2411yescharacteristic
639C2×Q8×C83—21no—
640C2×Q8×C83C2×D411yescharacteristic
641C2×Q8×C83C2411yescharacteristic
642C2×D4×C83—21no—
643C2×D4×C83—21no—
644C2×D4×C83C2411yescharacteristic
645C2×D4×C83C2411yescharacteristic
646C2×D4×C83C2411yescharacteristic
647C22×C4×C83—21no—
648C22×C4×C83—21no—
649C22×C4×C83—21no—
650C22×C4×C83—21no—
651C22×C4×C83—21no—
652SD16×C83—22no—
653D8×C83—22no—
654D8×C83—22no—
655C2×C8×C83C2411yescharacteristic
656C2×C8×C83C2411yescharacteristic
657C2×C8×C83C2411yescharacteristic
658C2×C8×C83C2411yescharacteristic
659C4⋊C4×C83—21no—
660C4⋊C4×C83—21no—
661C4⋊C4×C83—21no—
662C4⋊C4×C83—21no—
663C4⋊C4×C83—21no—
664C4⋊C4×C83—21no—
665C4⋊C4×C83C2×D411yescharacteristic
666C4⋊C4×C83C2×D411yescharacteristic
667C4⋊C4×C83C2×D411yescharacteristic
668C4⋊C4×C83C2411yescharacteristic
669C4⋊C4×C83C2411yescharacteristic
670C4⋊C4×C83C2411yescharacteristic
671C4⋊C4×C83C2411yescharacteristic
672C22⋊C4×C83—21no—
673C22⋊C4×C83—21no—
674C22⋊C4×C83—21no—
675C22⋊C4×C83—21no—
676C22⋊C4×C83—21no—
677C22⋊C4×C83—21no—
678C22⋊C4×C83—21no—
679C22⋊C4×C83—21no—
680C22⋊C4×C83—21no—
681C42×C83—21no—
682C42×C83C2411yescharacteristic
683C42×C83C2411yescharacteristic
684C42×C83C2411yescharacteristic
685C23×C83—21no—
686C23×C83—21no—
687C23×C83—21no—
688C22×D83—21no—
689C22×D83—24no—
690C22×D83—21no—
691C22×D83—21no—
692C22×D83—42no—
693C22×D83—42no—
694C22×D83—42no—
695C22×D83—42no—
696C22×D83—42no—
697C22×D83—42no—
698C22×D83—42no—
699C22×D83—42no—
700C22×D83C22×D411yescharacteristic
701Q8×C83—21no—
702Q8×C83—21no—
703Q8×C83—41no—
704Q8×C83—81no—
705D4×C83—21no—
706D4×C83—21no—
707D4×C83—21no—
708D4×C83—21no—
709D4×C83—21no—
710D4×C83—42no—
711D4×C83—81no—
712D4×C83C2×#4112yes—
713C2×C4×C83—21no—
714C2×C4×C83—21no—
715C2×C4×C83—21no—
716C2×C4×C83—21no—
717C2×C4×C83—21no—
718C2×C4×C83—42no—
719C2×C4×C83—81no—
720C2×C4×C83—81no—
721C2×C4×C83—81no—
722C2×C4×C83—81no—
723C2×C4×C83C22×D411yescharacteristic
724C2×C4×C83C22×D411yescharacteristic
725C2×C4×C83C22×D411yescharacteristic
726C2×C4×C83C22×D411yescharacteristic
727C2×C4×C83C22×D411yescharacteristic
728C2×C4×C83C22×D411yescharacteristic
729C2×C4×C83C2511yescharacteristic
730C22⋊D83—24no—
731C22⋊D83—42no—
732C22⋊D83—42no—
733C22⋊D83—42no—
734C22⋊D83—42no—
735C22⋊D83—81no—
736C22⋊D83—81no—
737C2×Dic83—21no—
738C2×Dic83—21no—
739C2×Dic83—21no—
740C2×Dic83—21no—
741C2×Dic83—21no—
742C2×Dic83—42no—
743C2×Dic83—81no—
744C2×Dic83—81no—
745C2×Dic83—81no—
746C2×Dic83—81no—
747C2×Dic83C22×D411yescharacteristic
748C2×Dic83C22×D411yescharacteristic
749C2×Dic83C22×D411yescharacteristic
750C2×Dic83C22×D411yescharacteristic
751C2×Dic83C22×D411yescharacteristic
752C2×Dic83C22×D411yescharacteristic
753C2×Dic83C22×D411yescharacteristic
754D332—21no—
755D332—21no—
756D332—21no—
757D332—21no—
758D332—21no—
759D332—42no—
760D332—81no—
761D332C2×#4112yes—
762C4×D83—22no—
763C4×D83—22no—
764C4×D83—22no—
765C4×D83—22no—
766C4×D83—22no—
767C4×D83—22no—
768C4×D83—42no—
769C4×D83—42no—
770C4×D83—42no—
771C4×D83—42no—
772C4×D83—42no—
773C4×D83—42no—
774C4×D83—42no—
775C4×D83—81no—
776C4×D83—81no—
777C4×D83—81no—
778C4×D83—81no—
779C4×D83—81no—
780C4×D83—81no—
781C4×D83—81no—
782C4×D83—81no—
783C4×D83C2×#4112yes—
784C4×D832−1+412yes—
785Dic166—21no—
786Dic166—21no—
787Dic166—41no—
788Dic166—41no—
789Dic166—41no—
790Dic166—42no—
791Dic166—81no—
792Dic166—81no—
793Dic166—81no—
794C8×C83—21no—
795C8×C83—21no—
796C8×C83—21no—
797C8×C83—21no—
798C83⋊C8—21no—
799C83⋊C8—21no—
800C83⋊C8—21no—
801C83⋊C8—21no—
802C22×C83—22no—
803C22×C83—41no—
804C22×C83—41no—
805C22×C83—41no—
806C22×C83—41no—
807C22×C83—41no—
808C22×C83—41no—
809C22×C83—41no—
810C22×C83—41no—
811C22×C83C23×D411yescharacteristic
812C2×D83—22no—
813C2×D83—41no—
814C2×D83—41no—
815C2×D83—48no—
816C2×D83—41no—
817C2×D83—41no—
818C2×D83—41no—
819C2×D83—41no—
820C2×D83—41no—
821C2×D83—41no—
822C2×D83—84no—
823C2×D83—84no—
824C2×D83#54812yes—
825C2×D83#57512yes—
826C2×D83#57612yes—
827C4×C83—21no—
828C4×C83—21no—
829C4×C83—21no—
830C4×C83—21no—
831C4×C83—21no—
832C4×C83—21no—
833C4×C83—41no—
834C4×C83—41no—
835C4×C83—41no—
836C4×C83—41no—
837C4×C83—41no—
838C4×C83C22×#4111yescharacteristic
839C4×C83C2×2−1+411yescharacteristic
840Dic83—21no—
841Dic83—21no—
842Dic83—21no—
843Dic83—21no—
844Dic83—21no—
845Dic83—21no—
846Dic83—41no—
847Dic83—41no—
848Dic83—41no—
849Dic83—41no—
850Dic83—41no—
851Dic83#54812yes—
852C2×#3370—831nomaximal, Sylow
853C2×C83—42no—
854C2×C83—81no—
855C2×C83—81no—
856C2×C83C2×#54811yescharacteristic
857C2×C83C2×#57511yescharacteristic
858C2×C83C2×#57611yescharacteristic
859D83—42no—
860D83—81no—
861D83—81no—
862D83#337014yesdirect product factor
863C2×#559—831no—
864C2×#554—831no—
865#3370—831no—
866#3370—831no—
867#3370—831no—
868#3370—831no—
869#3370—831no—
870#3370—831no—
871#3370—831no—
872#3370—831no—
873#3370—831no—
874#3370—831no—
875#3370—831no—
876#3370—831no—
877#3370—831no—
878#3370—831no—
879#3370—831no—
880#3370D8311yescharacteristic, direct product factor
881C2×#490—831no—
882C2×#489—831no—
883C2×#488—831no—
884C2×#479—831no—
885C2×#478—831no—
886C2×#474—831no—
887C2×#463—831no—
888C2×#463—831no—
889C2×#459—831no—
890C2×#446—831no—
891C2×#442—831no—
892C2×#440—831no—
893C2×C4×D8—831no—
894C83C2×#337011yescharacteristic, complemented, Sylow
895C22×SD16—831no—
896C22×D8—831no—
897C22×D8—831no—
898#559—831no—
899#559—831no—
900#559—831no—
901#559—831no—
902#559—831no—
903#559—831no—
904#559—831no—
905#559—1661no—
906#559—1661no—
907#559—1661no—
908#559—1661no—
909#559C2×D8311yescharacteristic, complemented
910#554—831no—
911#554—831no—
912#554—831no—
913#554—831no—
914#554—831no—
915#554—831no—
916#554—831no—
917#554—1661no—
918#554—1661no—
919#554—1661no—
920#554—1661no—
921#554C2×D8311yescharacteristic, complemented
922C2×C4⋊Q8—831no—
923C2×#127—831no—
924C2×#125—831no—
925C2×#125—831no—
926C2×#124—831no—
927C2×#124—831no—
928C2×#124—1661no—
929C2×#123—1661no—
930C2×#123—1661no—
931C2×C22⋊Q8—1661no—
932C2×C22⋊Q8—1661no—
933C2×C22⋊Q8—1661no—
934C2×C4×Q8—831no—
935C2×C4×Q8—831no—
936C2×C4×D4—831no—
937C2×C4×D4—831no—
938C2×C4×D4—831no—
939C2×C4×D4—831no—
940C2×C4×D4—831no—
941C2×C4×D4—1661no—
942C22×C4⋊C4—1661no—
943#490—831no—
944#490—831no—
945#490—831no—
946#490—831no—
947#490—831no—
948#490—831no—
949#490—831no—
950#490C2×D8311yescharacteristic, complemented
951#489—831no—
952#489—831no—
953#489—831no—
954#489—831no—
955#489—831no—
956#489—831no—
957#489—831no—
958#489C2×D8311yescharacteristic, complemented
959#488—831no—
960#488—831no—
961#488—831no—
962#488—831no—
963#488—831no—
964#488—831no—
965#488—831no—
966#488C2×D8311yescharacteristic, complemented
967#479—831no—
968#479—831no—
969#479—831no—
970#479—831no—
971#479—831no—
972#479—831no—
973#479—831no—
974#479C2×D8311yescharacteristic, complemented
975#478—831no—
976#478—831no—
977#478—831no—
978#478—831no—
979#478—831no—
980#478—831no—
981#478—831no—
982#478C2×D8311yescharacteristic, complemented
983#474—831no—
984#474—831no—
985#474—831no—
986#474—831no—
987#474—831no—
988#474—831no—
989#474—831no—
990#474C2×D8311yescharacteristic, complemented
991#463—831no—
992#463—831no—
993#463—831no—
994#463—831no—
995#463—831no—
996#463—831no—
997#463—831no—
998#463—831no—
999#463—831no—
1000#463—831no—
1001#463—831no—
1002#463—831no—
1003#463—831no—
1004#463—831no—
1005#463C2×D8311yescharacteristic, complemented
1006#463C2×D8311yescharacteristic, complemented
1007#459—831no—
1008#459—831no—
1009#459—831no—
1010#459—831no—
1011#459—831no—
1012#459—831no—
1013#459—831no—
1014#459C2×D8311yescharacteristic
1015#446—831no—
1016#446—831no—
1017#446—831no—
1018#446—831no—
1019#446—831no—
1020#446—831no—
1021#446—831no—
1022#446C2×D8311yescharacteristic, complemented
1023#442—831no—
1024#442—831no—
1025#442—831no—
1026#442—831no—
1027#442—831no—
1028#442—831no—
1029#442—831no—
1030#442C2×D8311yescharacteristic, complemented
1031#440—831no—
1032#440—831no—
1033#440—831no—
1034#440—831no—
1035#440—831no—
1036#440—831no—
1037#440—831no—
1038#440C2×D8311yescharacteristic, complemented
1039C4×D8—831no—
1040C4×D8—831no—
1041C4×D8—831no—
1042C4×D8—831no—
1043C4×D8—831no—
1044C4×D8—831no—
1045C4×D8—831no—
1046C4×D8C2×D8311yescharacteristic, complemented
1047C2×#107—831no—
1048C2×#107—831no—
1049C2×#106—831no—
1050C2×C4⋊C8—831no—
1051C2×C4⋊C8—831no—
1052C2×C4⋊C8—831no—
1053C2×#103—831no—
1054C2×#103—831no—
1055C2×#103—831no—
1056C2×#102—831no—
1057C2×#102—831no—
1058C2×#102—831no—
1059C2×#102—831no—
1060C2×#102—831no—
1061C2×#102—831no—
1062C2×#102—831no—
1063C2×#97—831no—
1064C2×#97—831no—
1065C2×C4×C8—831no—
1066C22×Q8—831no—
1067C22×Q8—831no—
1068C22×Q8—1661no—
1069C22×D4—831no—
1070C22×D4—831no—
1071C22×D4—831no—
1072C22×D4—1661no—
1073C22×D4—1661no—
1074C23×C4—1661no—
1075C23×C4—1661no—
1076C23×C4—1661no—
1077C23×C4—1661no—
1078C23×C4—1661no—
1079C2×SD16—831no—
1080C2×SD16—831no—
1081C2×SD16—831no—
1082C2×SD16—1664no—
1083C2×SD16C22×D8311yescharacteristic
1084C2×D8—831no—
1085C2×D8—831no—
1086C2×D8—831no—
1087C2×D8—831no—
1088C2×D8—831no—
1089C2×D8—831no—
1090C2×D8—1664no—
1091C2×D8—1664no—
1092C2×D8C22×D8311yescharacteristic
1093C2×D8C22×D8311yescharacteristic
1094C22×C8—831no—
1095C22×C8—831no—
1096C22×C8—831no—
1097C22×C8—831no—
1098C4⋊Q8—831no—
1099C4⋊Q8—831no—
1100C4⋊Q8—831no—
1101C4⋊Q8—1661no—
1102C4⋊Q8—1661no—
1103C4⋊Q8C22×D8311yescharacteristic
1104#127—831no—
1105#127—831no—
1106#127—831no—
1107#127—1661no—
1108#127—1661no—
1109#127C22×D8311yescharacteristic
1110#125—831no—
1111#125—831no—
1112#125—831no—
1113#125—831no—
1114#125—831no—
1115#125—831no—
1116#125—1661no—
1117#125—1661no—
1118#125—1661no—
1119#125—1661no—
1120#125C22×D8311yescharacteristic
1121#125C22×D8311yescharacteristic
1122#124—21no—
1123#124—831no—
1124#124—831no—
1125#124—831no—
1126#124—831no—
1127#124—831no—
1128#124—831no—
1129#124—1661no—
1130#124—1661no—
1131#124—1661no—
1132#124—1661no—
1133#124—1661no—
1134#124—1661no—
1135#124—1661no—
1136#124—1661no—
1137#124—1661no—
1138#124—1661no—
1139#124—1661no—
1140#124C22×D8311yescharacteristic
1141#124C22×D8311yescharacteristic
1142#123—21no—
1143#123—21no—
1144#123—1661no—
1145#123—1661no—
1146#123—1661no—
1147#123—1661no—
1148#123—1661no—
1149#123—1661no—
1150#123—1661no—
1151#123—1661no—
1152#123—1661no—
1153#123—1661no—
1154#123—1661no—
1155#123—1661no—
1156#123—1661no—
1157#123—1661no—
1158C22⋊Q8—21no—
1159C22⋊Q8—21no—
1160C22⋊Q8—21no—
1161C22⋊Q8—1661no—
1162C22⋊Q8—1661no—
1163C22⋊Q8—1661no—
1164C22⋊Q8—1661no—
1165C22⋊Q8—1661no—
1166C22⋊Q8—1661no—
1167C22⋊Q8—1661no—
1168C22⋊Q8—1661no—
1169C22⋊Q8—1661no—
1170C22⋊Q8—1661no—
1171C22⋊Q8—1661no—
1172C22⋊Q8—1661no—
1173C22⋊Q8—1661no—
1174C22⋊Q8—1661no—
1175C22⋊Q8—1661no—
1176C22⋊Q8—1661no—
1177C22⋊Q8—1661no—
1178C22⋊Q8—1661no—
1179C22⋊Q8—1661no—
1180C22⋊Q8—1661no—
1181C22⋊Q8—1661no—
1182C4×Q8—831no—
1183C4×Q8—831no—
1184C4×Q8—831no—
1185C4×Q8—831no—
1186C4×Q8—831no—
1187C4×Q8—831no—
1188C4×Q8—831no—
1189C4×Q8—831no—
1190C4×Q8—831no—
1191C4×Q8—831no—
1192C4×Q8—1661no—
1193C4×Q8—1661no—
1194C4×Q8C22×D8311yescharacteristic
1195C4×Q8C22×D8311yescharacteristic
1196C4×D4—21no—
1197C4×D4—831no—
1198C4×D4—831no—
1199C4×D4—831no—
1200C4×D4—831no—
1201C4×D4—831no—
1202C4×D4—831no—
1203C4×D4—831no—
1204C4×D4—831no—
1205C4×D4—831no—
1206C4×D4—831no—
1207C4×D4—831no—
1208C4×D4—831no—
1209C4×D4—831no—
1210C4×D4—831no—
1211C4×D4—831no—
1212C4×D4—1661no—
1213C4×D4—1661no—
1214C4×D4—1661no—
1215C4×D4—1661no—
1216C4×D4—1661no—
1217C4×D4—1661no—
1218C4×D4—1661no—
1219C4×D4—1661no—
1220C4×D4—1661no—
1221C4×D4—1661no—
1222C4×D4—1661no—
1223C4×D4—1661no—
1224C4×D4—1661no—
1225C4×D4—1661no—
1226C4×D4—1661no—
1227C4×D4—1661no—
1228C4×D4—1661no—
1229C4×D4C22×D8311yescharacteristic
1230C4×D4C22×D8311yescharacteristic
1231C4×D4C22×D8311yescharacteristic
1232C4×D4C22×D8311yescharacteristic
1233C4×D4C22×D8311yescharacteristic
1234C2×C4⋊C4—21no—
1235C2×C4⋊C4—831no—
1236C2×C4⋊C4—831no—
1237C2×C4⋊C4—831no—
1238C2×C4⋊C4—831no—
1239C2×C4⋊C4—831no—
1240C2×C4⋊C4—831no—
1241C2×C4⋊C4—831no—
1242C2×C4⋊C4—1661no—
1243C2×C4⋊C4—1661no—
1244C2×C4⋊C4—1661no—
1245C2×C4⋊C4—1661no—
1246C2×C4⋊C4—1661no—
1247C2×C4⋊C4—1661no—
1248C2×C4⋊C4—1661no—
1249C2×C4⋊C4—1661no—
1250C2×C4⋊C4—1661no—
1251C2×C4⋊C4—1661no—
1252C2×C4⋊C4—1661no—
1253C2×C4⋊C4—1661no—
1254C2×C4⋊C4—1661no—
1255C2×C22⋊C4—1661no—
1256C2×C22⋊C4—1661no—
1257C2×C22⋊C4—1661no—
1258C2×C22⋊C4—1661no—
1259C2×C22⋊C4—1661no—
1260C2×C22⋊C4—1661no—
1261C2×C22⋊C4—1661no—
1262C2×C22⋊C4—1661no—
1263C2×C22⋊C4—1661no—
1264C2×C42—831no—
1265C2×C42—831no—
1266C2×C42—831no—
1267C2×C42—1661no—
1268#107—831no—
1269#107—831no—
1270#107—831no—
1271#107—831no—
1272#107—831no—
1273#107—831no—
1274#107C22×D8311yescharacteristic
1275#107C22×D8311yescharacteristic
1276#106—831no—
1277#106—831no—
1278#106—831no—
1279#106C22×D8311yescharacteristic
1280C4⋊C8—831no—
1281C4⋊C8—831no—
1282C4⋊C8—831no—
1283C4⋊C8—831no—
1284C4⋊C8—831no—
1285C4⋊C8—831no—
1286C4⋊C8—831no—
1287C4⋊C8—831no—
1288C4⋊C8—831no—
1289C4⋊C8C22×D8311yescharacteristic
1290C4⋊C8C22×D8311yescharacteristic
1291C4⋊C8C22×D8311yescharacteristic
1292#103—831no—
1293#103—831no—
1294#103—831no—
1295#103—831no—
1296#103—831no—
1297#103—831no—
1298#103—831no—
1299#103—831no—
1300#103—831no—
1301#103C22×D8311yescharacteristic
1302#103C22×D8311yescharacteristic
1303#103C22×D8311yescharacteristic
1304#102—831no—
1305#102—831no—
1306#102—831no—
1307#102—831no—
1308#102—831no—
1309#102—831no—
1310#102—831no—
1311#102—831no—
1312#102—831no—
1313#102—831no—
1314#102—831no—
1315#102—831no—
1316#102—831no—
1317#102—831no—
1318#102—831no—
1319#102—831no—
1320#102—831no—
1321#102—831no—
1322#102—831no—
1323#102—831no—
1324#102—831no—
1325#102C22×D8311yescharacteristic
1326#102C22×D8311yescharacteristic
1327#102C22×D8311yescharacteristic
1328#102C22×D8311yescharacteristic
1329#102C22×D8311yescharacteristic
1330#102C22×D8311yescharacteristic
1331#102C22×D8311yescharacteristic
1332#97—831no—
1333#97—831no—
1334#97—831no—
1335#97—831no—
1336#97—831no—
1337#97—831no—
1338#97C22×D8311yescharacteristic
1339#97C22×D8311yescharacteristic
1340C4×C8—831no—
1341C4×C8—831no—
1342C4×C8—831no—
1343C4×C8C22×D8311yescharacteristic
1344C24—1661no—
1345C24—1661no—
1346C24—1661no—
1347C2×Q8—21no—
1348C2×Q8—3322no—
1349C2×Q8—831no—
1350C2×Q8—831no—
1351C2×Q8—831no—
1352C2×Q8—831no—
1353C2×Q8—6642no—
1354C2×Q8—1661no—
1355C2×Q8—1661no—
1356C2×Q8—1661no—
1357C2×Q8—1662no—
1358C2×Q8—1662no—
1359C2×Q8—1661no—
1360C2×Q8D4×D8311yescharacteristic
1361C2×Q8C23×D8311yescharacteristic
1362C2×D4—21no—
1363C2×D4—21no—
1364C2×D4—3324no—
1365C2×D4—834no—
1366C2×D4—831no—
1367C2×D4—831no—
1368C2×D4—831no—
1369C2×D4—6642no—
1370C2×D4—1662no—
1371C2×D4—1662no—
1372C2×D4—1662no—
1373C2×D4—1662no—
1374C2×D4—1662no—
1375C2×D4—1661no—
1376C2×D4—1661no—
1377C2×D4—1661no—
1378C2×D4—1661no—
1379C2×D4—1661no—
1380C2×D4—1661no—
1381C2×D4—1661no—
1382C2×D4—1661no—
1383C2×D4—1661no—
1384C2×D4C23×D8311yescharacteristic
1385C2×D4C23×D8311yescharacteristic
1386C2×D4C23×D8311yescharacteristic
1387C22×C4—21no—
1388C22×C4—21no—
1389C22×C4—21no—
1390C22×C4—21no—
1391C22×C4—21no—
1392C22×C4—3324no—
1393C22×C4—831no—
1394C22×C4—831no—
1395C22×C4—831no—
1396C22×C4—831no—
1397C22×C4—831no—
1398C22×C4—831no—
1399C22×C4—831no—
1400C22×C4—6642no—
1401C22×C4—6642no—
1402C22×C4—6642no—
1403C22×C4—6642no—
1404C22×C4—1661no—
1405C22×C4—1661no—
1406C22×C4—1661no—
1407C22×C4—1661no—
1408C22×C4—1661no—
1409C22×C4—1661no—
1410C22×C4—1661no—
1411C22×C4—1661no—
1412C22×C4—1661no—
1413C22×C4—1661no—
1414C22×C4—1661no—
1415C22×C4—1661no—
1416C22×C4—1661no—
1417C22×C4—1661no—
1418C22×C4—1661no—
1419C22×C4—1661no—
1420C22×C4—1661no—
1421C22×C4—1661no—
1422C22×C4—1661no—
1423C22×C4—1661no—
1424SD16—22no—
1425SD16—1662no—
1426SD16—1662no—
1427SD16—1662no—
1428D8—22no—
1429D8—22no—
1430D8—1662no—
1431D8—1662no—
1432D8—1662no—
1433D8—1662no—
1434D8—1662no—
1435D8—1662no—
1436C2×C8—831no—
1437C2×C8—831no—
1438C2×C8—831no—
1439C2×C8—831no—
1440C2×C8—1662no—
1441C2×C8—1662no—
1442C2×C8—1662no—
1443C2×C8—1662no—
1444C2×C8C23×D8311yescharacteristic
1445C2×C8C23×D8311yescharacteristic
1446C2×C8C23×D8311yescharacteristic
1447C2×C8C23×D8311yescharacteristic
1448C4⋊C4—21no—
1449C4⋊C4—21no—
1450C4⋊C4—21no—
1451C4⋊C4—21no—
1452C4⋊C4—21no—
1453C4⋊C4—21no—
1454C4⋊C4—831no—
1455C4⋊C4—831no—
1456C4⋊C4—831no—
1457C4⋊C4—831no—
1458C4⋊C4—831no—
1459C4⋊C4—831no—
1460C4⋊C4—831no—
1461C4⋊C4—831no—
1462C4⋊C4—831no—
1463C4⋊C4—831no—
1464C4⋊C4—831no—
1465C4⋊C4—831no—
1466C4⋊C4—831no—
1467C4⋊C4—1661no—
1468C4⋊C4—1661no—
1469C4⋊C4—1661no—
1470C4⋊C4—1661no—
1471C4⋊C4—1661no—
1472C4⋊C4—1661no—
1473C4⋊C4—1661no—
1474C4⋊C4—1661no—
1475C4⋊C4—1661no—
1476C4⋊C4—1661no—
1477C4⋊C4—1661no—
1478C4⋊C4—1661no—
1479C4⋊C4—1661no—
1480C4⋊C4—1661no—
1481C4⋊C4—1661no—
1482C4⋊C4—1661no—
1483C4⋊C4—1661no—
1484C4⋊C4—1661no—
1485C4⋊C4—1661no—
1486C4⋊C4—1661no—
1487C4⋊C4—1661no—
1488C4⋊C4—1661no—
1489C4⋊C4D4×D8311yescharacteristic
1490C4⋊C4D4×D8311yescharacteristic
1491C4⋊C4D4×D8311yescharacteristic
1492C4⋊C4C23×D8311yescharacteristic
1493C4⋊C4C23×D8311yescharacteristic
1494C4⋊C4C23×D8311yescharacteristic
1495C4⋊C4C23×D8311yescharacteristic
1496C22⋊C4—21no—
1497C22⋊C4—21no—
1498C22⋊C4—21no—
1499C22⋊C4—21no—
1500C22⋊C4—21no—
1501C22⋊C4—21no—
1502C22⋊C4—21no—
1503C22⋊C4—21no—
1504C22⋊C4—21no—
1505C22⋊C4—1661no—
1506C22⋊C4—1661no—
1507C22⋊C4—1661no—
1508C22⋊C4—1661no—
1509C22⋊C4—1661no—
1510C22⋊C4—1661no—
1511C22⋊C4—1661no—
1512C22⋊C4—1661no—
1513C22⋊C4—1661no—
1514C22⋊C4—1661no—
1515C22⋊C4—1661no—
1516C22⋊C4—1661no—
1517C22⋊C4—1661no—
1518C22⋊C4—1661no—
1519C22⋊C4—1661no—
1520C22⋊C4—1661no—
1521C22⋊C4—1661no—
1522C22⋊C4—1661no—
1523C22⋊C4—1661no—
1524C22⋊C4—1661no—
1525C22⋊C4—1661no—
1526C22⋊C4—1661no—
1527C22⋊C4—1661no—
1528C22⋊C4—1661no—
1529C22⋊C4—1661no—
1530C22⋊C4—1661no—
1531C22⋊C4—1661no—
1532C42—21no—
1533C42—831no—
1534C42—831no—
1535C42—831no—
1536C42—831no—
1537C42—831no—
1538C42—831no—
1539C42—831no—
1540C42—831no—
1541C42—831no—
1542C42—1661no—
1543C42—1661no—
1544C42—1661no—
1545C42C23×D8311yescharacteristic
1546C42C23×D8311yescharacteristic
1547C42C23×D8311yescharacteristic
1548C23—21no—
1549C23—21no—
1550C23—21no—
1551C23—3322no—
1552C23—3322no—
1553C23—3322no—
1554C23—3322no—
1555C23—3322no—
1556C23—3322no—
1557C23—3322no—
1558C23—3322no—
1559C23—831no—
1560C23—1664no—
1561C23—1661no—
1562C23—1661no—
1563C23—1661no—
1564Q8—21no—
1565Q8—21no—
1566Q8—41no—
1567Q8—81no—
1568Q8—3321no—
1569Q8—3321no—
1570Q8—3321no—
1571Q8—3322no—
1572Q8—6641no—
1573Q8—6641no—
1574Q8—6641no—
1575Q8—1661no—
1576Q8—1661no—
1577D4—21no—
1578D4—21no—
1579D4—21no—
1580D4—21no—
1581D4—21no—
1582D4—42no—
1583D4—81no—
1584D4—3322no—
1585D4—3322no—
1586D4—3322no—
1587D4—3322no—
1588D4—3322no—
1589D4—832no—
1590D4—6641no—
1591D4—6641no—
1592D4—6641no—
1593D4—1664no—
1594D4—1661no—
1595D4—1661no—
1596D4—1661no—
1597D4—1661no—
1598D4—1661no—
1599D4#41×D8312yes—
1600C2×C4—21no—
1601C2×C4—21no—
1602C2×C4—21no—
1603C2×C4—21no—
1604C2×C4—21no—
1605C2×C4—42no—
1606C2×C4—81no—
1607C2×C4—81no—
1608C2×C4—81no—
1609C2×C4—81no—
1610C2×C4—3322no—
1611C2×C4—3322no—
1612C2×C4—3322no—
1613C2×C4—3322no—
1614C2×C4—3322no—
1615C2×C4—3322no—
1616C2×C4—3322no—
1617C2×C4—3322no—
1618C2×C4—831no—
1619C2×C4—832no—
1620C2×C4—832no—
1621C2×C4—831no—
1622C2×C4—831no—
1623C2×C4—831no—
1624C2×C4—831no—
1625C2×C4—831no—
1626C2×C4—831no—
1627C2×C4—6641no—
1628C2×C4—6641no—
1629C2×C4—6641no—
1630C2×C4—6641no—
1631C2×C4—6641no—
1632C2×C4—6641no—
1633C2×C4—6641no—
1634C2×C4—6641no—
1635C2×C4—6641no—
1636C2×C4—6641no—
1637C2×C4—6641no—
1638C2×C4—6641no—
1639C2×C4—1662no—
1640C2×C4—1662no—
1641C2×C4—1662no—
1642C2×C4—1662no—
1643C2×C4—1662no—
1644C2×C4—1662no—
1645C2×C4—1661no—
1646C2×C4—1661no—
1647C2×C4—1661no—
1648C2×C4—1661no—
1649C2×C4—1661no—
1650C2×C4C2×D4×D8311yescharacteristic
1651C2×C4C2×D4×D8311yescharacteristic
1652C2×C4C2×D4×D8311yescharacteristic
1653C2×C4C2×D4×D8311yescharacteristic
1654C2×C4C2×D4×D8311yescharacteristic
1655C2×C4C2×D4×D8311yescharacteristic
1656C2×C4C24×D8311yescharacteristic
1657C8—21no—
1658C8—21no—
1659C8—21no—
1660C8—21no—
1661C8—1661no—
1662C8—1661no—
1663C8—1661no—
1664C8—1661no—
1665C22—22no—
1666C22—41no—
1667C22—41no—
1668C22—41no—
1669C22—41no—
1670C22—41no—
1671C22—41no—
1672C22—41no—
1673C22—41no—
1674C22—3328no—
1675C22—3321no—
1676C22—3321no—
1677C22—3321no—
1678C22—3321no—
1679C22—3321no—
1680C22—3321no—
1681C22—3321no—
1682C22—3321no—
1683C22—832no—
1684C22—832no—
1685C22—832no—
1686C22—6644no—
1687C22—6644no—
1688C22—1662no—
1689C22C22×D4×D8311yescharacteristic
1690C4—21no—
1691C4—21no—
1692C4—21no—
1693C4—21no—
1694C4—21no—
1695C4—21no—
1696C4—41no—
1697C4—41no—
1698C4—41no—
1699C4—41no—
1700C4—41no—
1701C4—3321no—
1702C4—3321no—
1703C4—3321no—
1704C4—3321no—
1705C4—3321no—
1706C4—832no—
1707C4—1661no—
1708C4—1661no—
1709C4—1661no—
1710C4—1661no—
1711C4—1661no—
1712C4—1661no—
1713C4C2×#41×D8311yescharacteristic
1714C42−1+4×D8311yescharacteristic
1715C2—42no—
1716C2—81no—
1717C2—81no—
1718C2—3322no—
1719C2—834no—
1720C2—6641no—
1721C2—6641no—
1722C2#548×D8311yescharacteristic
1723C2#575×D8311yescharacteristic
1724C2#576×D8311yescharacteristic
subgroupG/H
centerC22C22×D4×D83
commutator, cosocleC2×C4×C83C25
FrattiniC2×C4C24×D83
FittingC83×#3370C2
socleC22×C83C23×D4
prime radical#459×D83C2
hypercenter#3370D83
hypocenterC83C2×#3370
LCSG ▷ C2×C4×C83 ▷ C2×C83 ▷ C83
UCSC1 ◁ C22 ◁ C4×Q8 ◁ #3370

Complements

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

NH ≅ G/Ntype
1. #559×D83C2semidirect
2. #554×D83C2semidirect
3. #24920223C2semidirect
4. #24920222C2semidirect
5. #24920221C2semidirect
6. #24920220C2semidirect
7. #24920219C2semidirect
8. #24920218C2semidirect
9. #24920217C2semidirect
10. #24920216C2semidirect
11. #24920215C2semidirect
12. #24920214C2semidirect
13. #24920213C2semidirect
14. #24920212C2semidirect
15. #24920211C2semidirect
16. #24920210C2semidirect
17. #24920209C2semidirect
18. #490×D83C2semidirect
19. #489×D83C2semidirect
20. #488×D83C2semidirect
21. #479×D83C2semidirect
22. #478×D83C2semidirect
23. #474×D83C2semidirect
24. #463×D83C2semidirect
25. #463×D83C2semidirect
27. #446×D83C2semidirect
28. #442×D83C2semidirect
29. #440×D83C2semidirect
30. C4×D8×D83C2semidirect
31. C83×#3370C2semidirect
35. #19128437C22semidirect
36. #19128436C22semidirect
37. #19128436C22semidirect
41. #19128434C22semidirect
42. #19128434C22semidirect
44. #19128433C22semidirect
45. #19128433C22semidirect
46. #19128412C22semidirect
47. #19128411C22semidirect
48. #19128410C22semidirect
49. #19128410C22semidirect
51. #19128408C22semidirect
52. #19128407C22semidirect
53. #19128407C22semidirect
78. #19128067C22semidirect
79. #19128066C22semidirect
80. #19128065C22semidirect
81. #19128064C22semidirect
82. #19128064C22semidirect
83. #19128064C22semidirect
84. #19128064C22semidirect
85. #19128063C22semidirect
86. #19128062C22semidirect
87. #19128062C22semidirect
88. #19128061C22semidirect
89. #19128060C22semidirect
90. #19128059C22semidirect
91. #19128059C22semidirect
92. #19128058C22semidirect
93. #19128057C22semidirect
94. #19128057C22semidirect
95. #19128056C22semidirect
96. #19128055C22semidirect
97. #19128054C22semidirect
98. #19128054C22semidirect
99. #19128011C22semidirect
100. #19128010C22semidirect
101. #19128009C22semidirect
102. #19128008C22semidirect
103. #19128007C22semidirect
104. #19128006C22semidirect
105. #19128005C22semidirect
106. #19128004C22semidirect
107. #19128003C22semidirect
108. #19128002C22semidirect
109. #19128001C22semidirect
110. #19128000C22semidirect
111. #19127999C22semidirect
112. #19127998C22semidirect
113. #19127982C22semidirect
114. #19127981C22semidirect
115. #19127980C22semidirect
116. #19127980C22semidirect
117. #19127979C22semidirect
118. #19127979C22semidirect
119. #19127978C22semidirect
120. #19127919C22semidirect
121. #19127919C22semidirect
122. #19127918C22semidirect
123. #19127918C22semidirect
124. #19127917C22semidirect
125. #19127917C22semidirect
126. #19127916C22semidirect
127. #19127916C22semidirect
128. #19127915C22semidirect
129. #19127915C22semidirect
130. #19127914C22semidirect
131. #19127914C22semidirect
132. #19127913C22semidirect
133. #19127913C22semidirect
141. #19127832C22semidirect
142. #19127831C22semidirect
143. #19127830C22semidirect
144. #19127830C22semidirect
145. #19127829C22semidirect
146. #19127829C22semidirect
147. #19127828C22semidirect
148. #19127814C22semidirect
149. #19127813C22semidirect
150. #19127812C22semidirect
151. #19127811C22semidirect
152. #19127811C22semidirect
153. #19127810C22semidirect
154. #19127810C22semidirect
155. #19127804C22semidirect
156. #19127803C22semidirect
157. #19127802C22semidirect
158. #19127801C22semidirect
159. #19127800C22semidirect
160. #19127799C22semidirect
161. #19127798C22semidirect
162. C4×D664C22semidirect
163. D8×Dic83C22semidirect
164. #19127783C22semidirect
165. C4×#13050575C22semidirect
166. C4×#13050575C22semidirect
167. #19127781C22semidirect
168. #19127781C22semidirect
188. #559×C83C22semidirect
189. #554×C83C22semidirect
190. #490×C83C22semidirect
191. #489×C83C22semidirect
192. #488×C83C22semidirect
193. #479×C83C22semidirect
194. #478×C83C22semidirect
195. #474×C83C22semidirect
196. #463×C83C22semidirect
197. #463×C83C22semidirect
199. #446×C83C22semidirect
200. #442×C83C22semidirect
201. #440×C83C22semidirect
202. C4×D8×C83C22semidirect
862. D83#3370direct (N × H)
880. #3370D83direct (N × H)
894. C83C2×#3370semidirect
909. #559C2×D83semidirect
921. #554C2×D83semidirect
950. #490C2×D83semidirect
958. #489C2×D83semidirect
966. #488C2×D83semidirect
974. #479C2×D83semidirect
982. #478C2×D83semidirect
990. #474C2×D83semidirect
1005. #463C2×D83semidirect
1006. #463C2×D83semidirect
1022. #446C2×D83semidirect
1030. #442C2×D83semidirect
1038. #440C2×D83semidirect
1046. C4×D8C2×D83semidirect

Maximal subgroups

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

subgroupindex
#559×D832
#554×D832
#249202232
#249202222
#249202212
#249202202
#249202192
#249202182
#249202172
#249202162
#249202152
#249202142
#249202132
#249202122
#249202112
#249202102
#249202092
#490×D832
#489×D832
#488×D832
#479×D832
#478×D832
#474×D832
#463×D832
#459×D832
#446×D832
#442×D832
#440×D832
C4×D8×D832
C83×#33702
C2×#337083