Finite Group Databasebeta

← #3371×D83 #36284177

Subgroups — #3371×D83 #36284177

Order 21248.

1874 conjugacy classes of subgroups.

The subgroup lattice has 1678 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#559×D83C211yesmaximal, characteristic
2#557×D83C211yesmaximal, characteristic, complemented
3#24920238C211yesmaximal, characteristic, complemented
4#24920237C211yesmaximal, characteristic, complemented
5#24920236C211yesmaximal, characteristic, complemented
6#24920235C211yesmaximal, characteristic, complemented
7#24920234C211yesmaximal, characteristic, complemented
8#24920233C211yesmaximal, characteristic, complemented
9#24920232C211yesmaximal, characteristic, complemented
10#24920231C211yesmaximal, characteristic, complemented
11#24920230C211yesmaximal, characteristic, complemented
12#24920229C211yesmaximal, characteristic, complemented
13#24920228C211yesmaximal, characteristic, complemented
14#24920227C211yesmaximal, characteristic, complemented
15#24920226C211yesmaximal, characteristic, complemented
16#24920225C211yesmaximal, characteristic, complemented
17#24920224C211yesmaximal, characteristic, complemented
18#490×D83C211yesmaximal, characteristic
19#489×D83C211yesmaximal, characteristic, complemented
20#488×D83C211yesmaximal, characteristic, complemented
21#479×D83C211yesmaximal, characteristic, complemented
22#478×D83C211yesmaximal, characteristic, complemented
23#476×D83C211yesmaximal, characteristic, complemented
24#464×D83C211yesmaximal, characteristic, complemented
25#464×D83C211yesmaximal, characteristic, complemented
26#460×D83C211yesmaximal, characteristic
27#446×D83C211yesmaximal, characteristic, complemented
28#441×D83C211yesmaximal, characteristic, complemented
29#440×D83C211yesmaximal, characteristic, complemented
30C4×SD16×D83C211yesmaximal, characteristic, complemented
31C83×#3371C211yesmaximal, characteristic, complemented
32C2×Q16×D83C2211yescharacteristic
33C2×SD16×D83C2211yescharacteristic
34C2×SD16×D83C2211yescharacteristic
35#19128437C2211yescharacteristic
36#19128436C2211yescharacteristic
37#19128436C2211yescharacteristic
38#19128435—21no—
39#19128435—21no—
40#19128434—21no—
41#19128434C2211yescharacteristic
42#19128434C2211yescharacteristic
43#19128433—21no—
44#19128433C2211yescharacteristic
45#19128433C2211yescharacteristic
46#19128430C2211yescharacteristic, complemented
47#19128429—21no—
48#19128429C2211yescharacteristic, complemented
49#19128428—21no—
50#19128428—21no—
51#19128428C2211yescharacteristic, complemented
52#19128428C2211yescharacteristic, complemented
53#19128427C2211yescharacteristic, complemented
54#19128427C2211yescharacteristic, complemented
55#19128426—21no—
56#19128426C2211yescharacteristic, complemented
57C4⋊Q8×D83—21no—
58C4⋊Q8×D83C2211yescharacteristic
59#127×D83C2211yescharacteristic
60#125×D83—21no—
61#125×D83—21no—
62#125×D83C2211yescharacteristic
63#125×D83C2211yescharacteristic
64#124×D83—21no—
65#124×D83C2211yescharacteristic
66#124×D83C2211yescharacteristic
67#123×D83—21no—
68#123×D83—21no—
69C4×Q8×D83—21no—
70C4×Q8×D83C2211yescharacteristic
71C4×Q8×D83C2211yescharacteristic
72C4×Q8×D83C2211yescharacteristic
73C4×Q8×D83C2211yescharacteristic
74C4×Q8×D83C2211yescharacteristic
75C4×D4×D83—21no—
76C4×D4×D83C2211yescharacteristic
77C4×D4×D83C2211yescharacteristic
78#19128067C2211yescharacteristic
79#19128066C2211yescharacteristic
80#19128065C2211yescharacteristic
81#19128064C2211yescharacteristic
82#19128064C2211yescharacteristic
83#19128064C2211yescharacteristic
84#19128064C2211yescharacteristic
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#19127992C2211yescharacteristic, complemented
114#19127991C2211yescharacteristic, complemented
115#19127990C2211yescharacteristic, complemented
116#19127990C2211yescharacteristic, complemented
117#19127989C2211yescharacteristic, complemented
118#19127989C2211yescharacteristic, complemented
119#19127988C2211yescharacteristic, complemented
120#19127926C2211yescharacteristic, complemented
121#19127926C2211yescharacteristic, complemented
122#19127925C2211yescharacteristic, complemented
123#19127925C2211yescharacteristic, complemented
124#19127924C2211yescharacteristic, complemented
125#19127924C2211yescharacteristic, complemented
126#19127923C2211yescharacteristic, complemented
127#19127923C2211yescharacteristic, complemented
128#19127922C2211yescharacteristic, complemented
129#19127922C2211yescharacteristic, complemented
130#19127921C2211yescharacteristic, complemented
131#19127921C2211yescharacteristic, complemented
132#19127920C2211yescharacteristic, complemented
133#19127920C2211yescharacteristic, complemented
134#19127902C2211yescharacteristic
135#19127901C2211yescharacteristic
136#19127900C2211yescharacteristic
137#19127900C2211yescharacteristic
138#19127899C2211yescharacteristic
139#19127899C2211yescharacteristic
140#19127898C2211yescharacteristic
141#19127832C2211yescharacteristic, complemented
142#19127831C2211yescharacteristic, complemented
143#19127830C2211yescharacteristic, complemented
144#19127830C2211yescharacteristic, complemented
145#19127829C2211yescharacteristic, complemented
146#19127829C2211yescharacteristic, complemented
147#19127828C2211yescharacteristic, complemented
148#19127809C2211yescharacteristic, complemented
149#19127808C2211yescharacteristic, complemented
150#19127807C2211yescharacteristic, complemented
151#19127806C2211yescharacteristic, complemented
152#19127806C2211yescharacteristic, complemented
153#19127805C2211yescharacteristic, complemented
154#19127805C2211yescharacteristic, complemented
155#19127804C2211yescharacteristic, complemented
156#19127803C2211yescharacteristic, complemented
157#19127802C2211yescharacteristic, complemented
158#19127801C2211yescharacteristic, complemented
159#19127800C2211yescharacteristic, complemented
160#19127799C2211yescharacteristic, complemented
161#19127798C2211yescharacteristic, complemented
162#19127792C2211yescharacteristic, complemented
163C4×#13050579C2211yescharacteristic, complemented
164SD16×Dic83C2211yescharacteristic, complemented
165C4×#13050577C2211yescharacteristic, complemented
166#19127788C2211yescharacteristic, complemented
167C4×#13050578C2211yescharacteristic, complemented
168#19127786C2211yescharacteristic, complemented
169#107×D83C2211yescharacteristic
170#106×D83C2211yescharacteristic
171#106×D83C2211yescharacteristic
172C4⋊C8×D83C2211yescharacteristic
173C4⋊C8×D83C2211yescharacteristic
174C4⋊C8×D83C2211yescharacteristic
175#103×D83C2211yescharacteristic
176#103×D83C2211yescharacteristic
177#103×D83C2211yescharacteristic
178#103×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
189#557×C83C2211yescharacteristic, complemented
190#490×C83C2211yescharacteristic
191#489×C83C2211yescharacteristic, complemented
192#488×C83C2211yescharacteristic, complemented
193#479×C83C2211yescharacteristic, complemented
194#478×C83C2211yescharacteristic, complemented
195#476×C83C2211yescharacteristic, complemented
196#464×C83C2211yescharacteristic, complemented
197#464×C83C2211yescharacteristic, complemented
198#460×C83C2211yescharacteristic
199#446×C83C2211yescharacteristic, complemented
200#441×C83C2211yescharacteristic, complemented
201#440×C83C2211yescharacteristic, complemented
202C4×SD16×C83C2211yescharacteristic, complemented
203C2×Q8×D83—21no—
204C2×Q8×D83D411yescharacteristic
205C2×Q8×D83C2311yescharacteristic
206C2×Q8×D83C2311yescharacteristic
207C2×D4×D83—21no—
208C2×D4×D83—21no—
209C2×D4×D83C2311yescharacteristic
210C2×D4×D83C2311yescharacteristic
211C22×C4×D83—21no—
212C22×C4×D83—21no—
213C2×Dic332C2311yescharacteristic
214C2×#13050580C2311yescharacteristic
215C2×#13050580C2311yescharacteristic
216Q16×D83—24no—
217C2×#13050579C2311yescharacteristic
218C2×#13050579C2311yescharacteristic
219C2×#13050578C2311yescharacteristic
220C2×#13050578C2311yescharacteristic
221C2×#13050577C2311yescharacteristic
222C2×#13050577C2311yescharacteristic
223SD16×D83—24no—
224SD16×D83—24no—
225C2×C8×D83C2311yescharacteristic
226C2×C8×D83C2311yescharacteristic
227C2×C8×D83C2311yescharacteristic
228C2×C8×D83C2311yescharacteristic
229#14581792—21no—
230#14581792C2311yescharacteristic
231#14581791—21no—
232#14581791—21no—
233#14581791—21no—
234#14581791—21no—
235#14581791—21no—
236#14581791C2311yescharacteristic
237#14581791C2311yescharacteristic
238#14581790—21no—
239#14581790—21no—
240#14581790—21no—
241#14581789C2311yescharacteristic
242#14581788—21no—
243#14581788—21no—
244#14581788C2311yescharacteristic
245#14581788C2311yescharacteristic
246#14581784—21no—
247#14581784—21no—
248#14581784C2311yescharacteristic
249#14581784C2311yescharacteristic
250#14581783—21no—
251#14581783—21no—
252#14581783—21no—
253#14581783—21no—
254#14581783C2311yescharacteristic
255#14581783C2311yescharacteristic
256#14581783C2311yescharacteristic
257#14581783C2311yescharacteristic
258#14581782—21no—
259#14581782—21no—
260#14581782—21no—
261#14581782—21no—
262#14581782—21no—
263#14581782—21no—
264#14581782—21no—
265#14581782—21no—
266#14581782—21no—
267#14581782—21no—
268#14581782—21no—
269#14581782—21no—
270#14581781—21no—
271#14581781C2311yescharacteristic
272#14581781C2311yescharacteristic
273#14581780—21no—
274#14581780C2311yescharacteristic
275#14581780C2311yescharacteristic
276#14581779—21no—
277#14581779C2311yescharacteristic
278#14581779C2311yescharacteristic
279#14581778—21no—
280#14581778—21no—
281#14581778—21no—
282#14581778—21no—
283#14581778—21no—
284#14581778—21no—
285#14581778—21no—
286#14581778—21no—
287#14581777—21no—
288#14581777—21no—
289#14581777—21no—
290#14581777—21no—
291#14581776—21no—
292#14581776—21no—
293#14581775—21no—
294#14581775—21no—
295#14581774—21no—
296#14581774—21no—
297#14581774—21no—
298#14581774—21no—
299#14581773—21no—
300#14581773—21no—
301Q8×Dic83—21no—
302Q8×Dic83D411yescharacteristic
303Q8×Dic83C2311yescharacteristic
304Q8×Dic83C2311yescharacteristic
305Q8×Dic83C2311yescharacteristic
306Q8×Dic83C2311yescharacteristic
307C4×Dic166—21no—
308C4×Dic166—21no—
309C4×Dic166—21no—
310C4×Dic166—21no—
311C4×Dic166—21no—
312C4×Dic166—21no—
313C4×Dic166—21no—
314C4×Dic166C2311yescharacteristic
315C4×Dic166C2311yescharacteristic
316C4×Dic166C2311yescharacteristic
317C4×Dic166C2311yescharacteristic
318C4×Dic166C2311yescharacteristic
319C4×Dic166C2311yescharacteristic
320C4×Dic166C2311yescharacteristic
321#14581757—21no—
322#14581757—21no—
323#14581757—21no—
324#14581757—21no—
325#14581757—21no—
326#14581757—21no—
327#14581757—21no—
328#14581757D411yescharacteristic
329#14581757D411yescharacteristic
330#14581757D411yescharacteristic
331#14581757C2311yescharacteristic
332#14581757C2311yescharacteristic
333#14581757C2311yescharacteristic
334#14581757C2311yescharacteristic
335C4×D332—21no—
336C4×D332C2311yescharacteristic
337C4×D332C2311yescharacteristic
338D4×Dic83—21no—
339D4×Dic83C2311yescharacteristic
340D4×Dic83C2311yescharacteristic
341#14581754—21no—
342#14581754C2311yescharacteristic
343#14581754C2311yescharacteristic
344C4×C22⋊D83—21no—
345C4×C22⋊D83—21no—
346C4×C22⋊D83—21no—
347C4×C22⋊D83—21no—
348(C22⋊D83)⋊C4—21no—
349(C22⋊D83)⋊C4—21no—
350(C22⋊D83)⋊C4—21no—
351(C22⋊D83)⋊C4—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—
374C42×D83—21no—
375C42×D83—21no—
376C42×D83—21no—
377C42×D83—21no—
378C42×D83C2311yescharacteristic
379C42×D83C2311yescharacteristic
380C42×D83C2311yescharacteristic
381#14581726C2311yescharacteristic
382#14581725C2311yescharacteristic
383#14581725C2311yescharacteristic
384#14581724C2311yescharacteristic
385#14581724C2311yescharacteristic
386#14581723C2311yescharacteristic
387#14581723C2311yescharacteristic
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#14581717C2311yescharacteristic
403#14581716C2311yescharacteristic
404#14581716C2311yescharacteristic
405#14581716C2311yescharacteristic
406#14581716C2311yescharacteristic
407#14581715C2311yescharacteristic
408#14581715C2311yescharacteristic
409#14581715C2311yescharacteristic
410#14581715C2311yescharacteristic
411#14581714C2311yescharacteristic
412#14581714C2311yescharacteristic
413#14581714C2311yescharacteristic
414#14581714C2311yescharacteristic
415#14581714C2311yescharacteristic
416#14581714C2311yescharacteristic
417#14581713C2311yescharacteristic
418#14581713C2311yescharacteristic
419#14581713C2311yescharacteristic
420#14581713C2311yescharacteristic
421#14581713C2311yescharacteristic
422#14581713C2311yescharacteristic
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×Q16×C83C2311yescharacteristic
439C2×SD16×C83C2311yescharacteristic
440C2×SD16×C83C2311yescharacteristic
441C4⋊Q8×C83—21no—
442C4⋊Q8×C83C2311yescharacteristic
443#127×C83C2311yescharacteristic
444#125×C83—21no—
445#125×C83—21no—
446#125×C83C2311yescharacteristic
447#125×C83C2311yescharacteristic
448#124×C83—21no—
449#124×C83C2311yescharacteristic
450#124×C83C2311yescharacteristic
451#123×C83—21no—
452#123×C83—21no—
453C4×Q8×C83—21no—
454C4×Q8×C83C2311yescharacteristic
455C4×Q8×C83C2311yescharacteristic
456C4×Q8×C83C2311yescharacteristic
457C4×Q8×C83C2311yescharacteristic
458C4×Q8×C83C2311yescharacteristic
459C4×D4×C83—21no—
460C4×D4×C83C2311yescharacteristic
461C4×D4×C83C2311yescharacteristic
462#107×C83C2311yescharacteristic
463#106×C83C2311yescharacteristic
464#106×C83C2311yescharacteristic
465C4⋊C8×C83C2311yescharacteristic
466C4⋊C8×C83C2311yescharacteristic
467C4⋊C8×C83C2311yescharacteristic
468#103×C83C2311yescharacteristic
469#103×C83C2311yescharacteristic
470#103×C83C2311yescharacteristic
471#103×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—
483C2×Dic166—21no—
484C2×Dic166—21no—
485C2×Dic166—21no—
486C2×Dic166—21no—
487C2×Dic166—21no—
488C2×Dic166C2×D411yescharacteristic
489C2×Dic166C2×D411yescharacteristic
490C2×Dic166C2×D411yescharacteristic
491C2×Dic166C2411yescharacteristic
492C2×Dic166C2411yescharacteristic
493Q8×D83—22no—
494Q8×D83—22no—
495Q8×D83—22no—
496Q8×D83—42no—
497Q8×D83—44no—
498Q8×D83#4114yes—
499C2×D332—21no—
500C2×D332—21no—
501C2×D332C2411yescharacteristic
502C2×D332C2411yescharacteristic
503C2×C22⋊D83—21no—
504C2×C22⋊D83—21no—
505C2×C22⋊D83—21no—
506C2×C22⋊D83—21no—
507C2×C22⋊D83—21no—
508C2×C22⋊D83—21no—
509D4×D83—22no—
510D4×D83—22no—
511D4×D83—22no—
512D4×D83—22no—
513D4×D83—44no—
514D4×D83—82no—
515C22×Dic83—21no—
516C22×Dic83—21no—
517C2×C4×D83—21no—
518C2×C4×D83—21no—
519C2×C4×D83—21no—
520C2×C4×D83—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—82no—
528C2×C4×D83—82no—
529C2×C4×D83C2×D411yescharacteristic
530C2×C4×D83C2×D411yescharacteristic
531C2×C4×D83C2×D411yescharacteristic
532C2×C4×D83C2×D411yescharacteristic
533C2×C4×D83C2×D411yescharacteristic
534C2×C4×D83C2×D411yescharacteristic
535C2×C4×D83C2411yescharacteristic
536Dic332—22no—
537#13050580—22no—
538#13050580—22no—
539#13050579—22no—
540#13050579—22no—
541#13050578—22no—
542#13050578—22no—
543#13050577—22no—
544#13050577—22no—
545C2×C83⋊C8C2411yescharacteristic
546C2×C83⋊C8C2411yescharacteristic
547C2×C83⋊C8C2411yescharacteristic
548C2×C83⋊C8C2411yescharacteristic
549C8×D83—22no—
550C8×D83—22no—
551C8×D83—22no—
552C8×D83—22no—
553C4⋊Dic83—21no—
554C4⋊Dic83—21no—
555C4⋊Dic83—21no—
556C4⋊Dic83—21no—
557C4⋊Dic83—21no—
558C4⋊Dic83—21no—
559C4⋊Dic83—21no—
560C4⋊Dic83—21no—
561C4⋊Dic83—21no—
562C4⋊Dic83C2×D411yescharacteristic
563C4⋊Dic83C2×D411yescharacteristic
564C4⋊Dic83C2×D411yescharacteristic
565C4⋊Dic83C2411yescharacteristic
566C4⋊Dic83C2411yescharacteristic
567C4⋊Dic83C2411yescharacteristic
568C4⋊Dic83C2411yescharacteristic
569Dic83⋊C4—21no—
570Dic83⋊C4—21no—
571Dic83⋊C4—21no—
572Dic83⋊C4—21no—
573Dic83⋊C4—21no—
574Dic83⋊C4—21no—
575Dic83⋊C4—21no—
576Dic83⋊C4—21no—
577Dic83⋊C4—21no—
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⋊C4C2×D411yescharacteristic
592Dic83⋊C4C2×D411yescharacteristic
593Dic83⋊C4C2×D411yescharacteristic
594Dic83⋊C4C2×D411yescharacteristic
595Dic83⋊C4C2×D411yescharacteristic
596Dic83⋊C4C2×D411yescharacteristic
597C22⋊Dic83—21no—
598C22⋊Dic83—21no—
599C22⋊Dic83—21no—
600C22⋊Dic83—21no—
601C22⋊Dic83—21no—
602C22⋊Dic83—21no—
603(C2×D83)⋊C4—21no—
604(C2×D83)⋊C4—21no—
605(C2×D83)⋊C4—21no—
606(C2×D83)⋊C4—21no—
607(C2×D83)⋊C4—21no—
608(C2×D83)⋊C4—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—
615C4×Dic83—21no—
616C4×Dic83—21no—
617C4×Dic83—21no—
618C4×Dic83—21no—
619C4×Dic83—21no—
620C4×Dic83—21no—
621C4×Dic83—21no—
622C4×Dic83—21no—
623C4×Dic83—21no—
624C4×Dic83—21no—
625C4×Dic83—21no—
626C4×Dic83—21no—
627C4×Dic83C2×D411yescharacteristic
628C4×Dic83C2×D411yescharacteristic
629C4×Dic83C2×D411yescharacteristic
630C4×Dic83C2×D411yescharacteristic
631C4×Dic83C2×D411yescharacteristic
632C4×Dic83C2×D411yescharacteristic
633C4×Dic83C2411yescharacteristic
634C4×Dic83C2411yescharacteristic
635C4×Dic83C2411yescharacteristic
636C2×Q8×C83—21no—
637C2×Q8×C83C2×D411yescharacteristic
638C2×Q8×C83C2411yescharacteristic
639C2×Q8×C83C2411yescharacteristic
640C2×D4×C83—21no—
641C2×D4×C83—21no—
642C2×D4×C83C2411yescharacteristic
643C2×D4×C83C2411yescharacteristic
644C22×C4×C83—21no—
645C22×C4×C83—21no—
646Q16×C83—22no—
647SD16×C83—22no—
648SD16×C83—22no—
649C2×C8×C83C2411yescharacteristic
650C2×C8×C83C2411yescharacteristic
651C2×C8×C83C2411yescharacteristic
652C2×C8×C83C2411yescharacteristic
653C4⋊C4×C83—21no—
654C4⋊C4×C83—21no—
655C4⋊C4×C83—21no—
656C4⋊C4×C83—21no—
657C4⋊C4×C83—21no—
658C4⋊C4×C83—21no—
659C4⋊C4×C83—21no—
660C4⋊C4×C83—21no—
661C4⋊C4×C83—21no—
662C4⋊C4×C83C2×D411yescharacteristic
663C4⋊C4×C83C2×D411yescharacteristic
664C4⋊C4×C83C2×D411yescharacteristic
665C4⋊C4×C83C2411yescharacteristic
666C4⋊C4×C83C2411yescharacteristic
667C4⋊C4×C83C2411yescharacteristic
668C4⋊C4×C83C2411yescharacteristic
669C22⋊C4×C83—21no—
670C22⋊C4×C83—21no—
671C22⋊C4×C83—21no—
672C22⋊C4×C83—21no—
673C22⋊C4×C83—21no—
674C22⋊C4×C83—21no—
675C42×C83—21no—
676C42×C83—21no—
677C42×C83—21no—
678C42×C83—21no—
679C42×C83C2411yescharacteristic
680C42×C83C2411yescharacteristic
681C42×C83C2411yescharacteristic
682C23×C83—21no—
683C23×C83—21no—
684C22×D83—21no—
685C22×D83—21no—
686C22×D83—42no—
687C22×D83—42no—
688C22×D83—42no—
689C22×D83—42no—
690C22×D83—42no—
691C22×D83—42no—
692C22×D83C22×D411yescharacteristic
693Q8×C83—21no—
694Q8×C83—21no—
695Q8×C83—21no—
696Q8×C83—41no—
697Q8×C83—42no—
698Q8×C83C2×#4112yes—
699D4×C83—21no—
700D4×C83—21no—
701D4×C83—21no—
702D4×C83—21no—
703D4×C83—42no—
704D4×C83—81no—
705C2×C4×C83—21no—
706C2×C4×C83—21no—
707C2×C4×C83—21no—
708C2×C4×C83—21no—
709C2×C4×C83—21no—
710C2×C4×C83—21no—
711C2×C4×C83—81no—
712C2×C4×C83—81no—
713C2×C4×C83C22×D411yescharacteristic
714C2×C4×C83C22×D411yescharacteristic
715C2×C4×C83C22×D411yescharacteristic
716C2×C4×C83C22×D411yescharacteristic
717C2×C4×C83C22×D411yescharacteristic
718C2×C4×C83C22×D411yescharacteristic
719C2×C4×C83C2511yescharacteristic
720C22⋊D83—42no—
721C22⋊D83—42no—
722C22⋊D83—42no—
723C22⋊D83—42no—
724C22⋊D83—81no—
725C22⋊D83—81no—
726C2×Dic83—21no—
727C2×Dic83—21no—
728C2×Dic83—21no—
729C2×Dic83—21no—
730C2×Dic83—21no—
731C2×Dic83—21no—
732C2×Dic83—81no—
733C2×Dic83—81no—
734C2×Dic83C22×D411yescharacteristic
735C2×Dic83C22×D411yescharacteristic
736C2×Dic83C22×D411yescharacteristic
737C2×Dic83C22×D411yescharacteristic
738C2×Dic83C22×D411yescharacteristic
739C2×Dic83C22×D411yescharacteristic
740C2×Dic83C22×D411yescharacteristic
741D332—21no—
742D332—21no—
743D332—21no—
744D332—21no—
745D332—42no—
746D332—81no—
747C4×D83—24no—
748C4×D83—22no—
749C4×D83—22no—
750C4×D83—22no—
751C4×D83—22no—
752C4×D83—22no—
753C4×D83—22no—
754C4×D83—42no—
755C4×D83—42no—
756C4×D83—42no—
757C4×D83—42no—
758C4×D83—42no—
759C4×D83—81no—
760C4×D83—81no—
761C4×D83—81no—
762C4×D83—81no—
763C4×D83C2×#4112yes—
764C4×D832−1+412yes—
765Dic166—21no—
766Dic166—24no—
767Dic166—21no—
768Dic166—21no—
769Dic166—41no—
770Dic166—41no—
771Dic166—41no—
772Dic166—42no—
773Dic166—42no—
774Dic166—42no—
775Dic166—42no—
776Dic166C2×#4112yes—
777C8×C83—21no—
778C8×C83—21no—
779C8×C83—21no—
780C8×C83—21no—
781C83⋊C8—21no—
782C83⋊C8—21no—
783C83⋊C8—21no—
784C83⋊C8—21no—
785C22×C83—41no—
786C22×C83—41no—
787C22×C83—41no—
788C22×C83—41no—
789C22×C83—41no—
790C22×C83—41no—
791C22×C83C23×D411yescharacteristic
792C2×D83—41no—
793C2×D83—41no—
794C2×D83—41no—
795C2×D83—41no—
796C2×D83—41no—
797C2×D83—41no—
798C2×D83—84no—
799C2×D83—84no—
800C2×D83#54812yes—
801C2×D83#57512yes—
802C2×D83#57712yes—
803C4×C83—22no—
804C4×C83—21no—
805C4×C83—21no—
806C4×C83—21no—
807C4×C83—21no—
808C4×C83—21no—
809C4×C83—21no—
810C4×C83—41no—
811C4×C83—41no—
812C4×C83—41no—
813C4×C83—41no—
814C4×C83—41no—
815C4×C83C22×#4111yescharacteristic
816C4×C83C2×2−1+411yescharacteristic
817Dic83—22no—
818Dic83—21no—
819Dic83—21no—
820Dic83—21no—
821Dic83—21no—
822Dic83—21no—
823Dic83—21no—
824Dic83—41no—
825Dic83—41no—
826Dic83—41no—
827Dic83—41no—
828Dic83—41no—
829Dic83#54812yes—
830C2×#3371—831nomaximal, Sylow
831C2×C83—81no—
832C2×C83—81no—
833C2×C83C2×#54811yescharacteristic
834C2×C83C2×#57511yescharacteristic
835C2×C83C2×#57711yescharacteristic
836D83—81no—
837D83—81no—
838D83#337114yesdirect product factor
839C2×#559—831no—
840C2×#557—831no—
841#3371—831no—
842#3371—831no—
843#3371—831no—
844#3371—831no—
845#3371—831no—
846#3371—831no—
847#3371—831no—
848#3371—831no—
849#3371—831no—
850#3371—831no—
851#3371—831no—
852#3371—831no—
853#3371—831no—
854#3371—831no—
855#3371—831no—
856#3371D8311yescharacteristic, direct product factor
857C2×#490—831no—
858C2×#489—831no—
859C2×#488—831no—
860C2×#479—831no—
861C2×#478—831no—
862C2×#476—831no—
863C2×#464—831no—
864C2×#464—831no—
865C2×#460—831no—
866C2×#446—831no—
867C2×#441—831no—
868C2×#440—831no—
869C2×C4×SD16—831no—
870C83C2×#337111yescharacteristic, complemented, Sylow
871C22×Q16—831no—
872C22×SD16—831no—
873C22×SD16—831no—
874#559—831no—
875#559—831no—
876#559—831no—
877#559—831no—
878#559—831no—
879#559—831no—
880#559—831no—
881#559—1661no—
882#559—1661no—
883#559—1661no—
884#559—1661no—
885#559C2×D8311yescharacteristic
886#557—831no—
887#557—831no—
888#557—831no—
889#557—831no—
890#557—831no—
891#557—831no—
892#557—831no—
893#557—1661no—
894#557—1661no—
895#557—1661no—
896#557—1661no—
897#557C2×D8311yescharacteristic, complemented
898C2×C4⋊Q8—831no—
899C2×C4⋊Q8—1661no—
900C2×#127—831no—
901C2×#125—831no—
902C2×#125—831no—
903C2×#125—1661no—
904C2×#125—1661no—
905C2×#124—831no—
906C2×#124—831no—
907C2×#124—1661no—
908C2×#123—1661no—
909C2×#123—1661no—
910C2×C4×Q8—831no—
911C2×C4×Q8—831no—
912C2×C4×Q8—831no—
913C2×C4×Q8—831no—
914C2×C4×Q8—831no—
915C2×C4×Q8—1661no—
916C2×C4×D4—831no—
917C2×C4×D4—831no—
918C2×C4×D4—1661no—
919#490—831no—
920#490—831no—
921#490—831no—
922#490—831no—
923#490—831no—
924#490—831no—
925#490—831no—
926#490C2×D8311yescharacteristic
927#489—831no—
928#489—831no—
929#489—831no—
930#489—831no—
931#489—831no—
932#489—831no—
933#489—831no—
934#489C2×D8311yescharacteristic, complemented
935#488—831no—
936#488—831no—
937#488—831no—
938#488—831no—
939#488—831no—
940#488—831no—
941#488—831no—
942#488C2×D8311yescharacteristic, complemented
943#479—831no—
944#479—831no—
945#479—831no—
946#479—831no—
947#479—831no—
948#479—831no—
949#479—831no—
950#479C2×D8311yescharacteristic, complemented
951#478—831no—
952#478—831no—
953#478—831no—
954#478—831no—
955#478—831no—
956#478—831no—
957#478—831no—
958#478C2×D8311yescharacteristic, complemented
959#476—831no—
960#476—831no—
961#476—831no—
962#476—831no—
963#476—831no—
964#476—831no—
965#476—831no—
966#476C2×D8311yescharacteristic, complemented
967#464—831no—
968#464—831no—
969#464—831no—
970#464—831no—
971#464—831no—
972#464—831no—
973#464—831no—
974#464—831no—
975#464—831no—
976#464—831no—
977#464—831no—
978#464—831no—
979#464—831no—
980#464—831no—
981#464C2×D8311yescharacteristic, complemented
982#464C2×D8311yescharacteristic, complemented
983#460—831no—
984#460—831no—
985#460—831no—
986#460—831no—
987#460—831no—
988#460—831no—
989#460—831no—
990#460C2×D8311yescharacteristic
991#446—831no—
992#446—831no—
993#446—831no—
994#446—831no—
995#446—831no—
996#446—831no—
997#446—831no—
998#446C2×D8311yescharacteristic, complemented
999#441—831no—
1000#441—831no—
1001#441—831no—
1002#441—831no—
1003#441—831no—
1004#441—831no—
1005#441—831no—
1006#441C2×D8311yescharacteristic, complemented
1007#440—831no—
1008#440—831no—
1009#440—831no—
1010#440—831no—
1011#440—831no—
1012#440—831no—
1013#440—831no—
1014#440C2×D8311yescharacteristic, complemented
1015C4×SD16—831no—
1016C4×SD16—831no—
1017C4×SD16—831no—
1018C4×SD16—831no—
1019C4×SD16—831no—
1020C4×SD16—831no—
1021C4×SD16—831no—
1022C4×SD16C2×D8311yescharacteristic, complemented
1023C2×#107—831no—
1024C2×#106—831no—
1025C2×#106—831no—
1026C2×C4⋊C8—831no—
1027C2×C4⋊C8—831no—
1028C2×C4⋊C8—831no—
1029C2×#103—831no—
1030C2×#103—831no—
1031C2×#103—831no—
1032C2×#103—831no—
1033C2×#102—831no—
1034C2×#102—831no—
1035C2×#102—831no—
1036C2×#102—831no—
1037C2×#102—831no—
1038C2×#102—831no—
1039C2×#97—831no—
1040C2×#97—831no—
1041C2×C4×C8—831no—
1042C22×Q8—831no—
1043C22×Q8—831no—
1044C22×Q8—831no—
1045C22×Q8—1661no—
1046C22×D4—831no—
1047C22×D4—831no—
1048C22×D4—1661no—
1049C22×D4—1661no—
1050C23×C4—1661no—
1051C23×C4—1661no—
1052C2×Q16—831no—
1053C2×Q16—831no—
1054C2×Q16—831no—
1055C2×Q16—1664no—
1056C2×Q16C22×D8311yescharacteristic
1057C2×SD16—831no—
1058C2×SD16—831no—
1059C2×SD16—831no—
1060C2×SD16—831no—
1061C2×SD16—831no—
1062C2×SD16—831no—
1063C2×SD16—1664no—
1064C2×SD16—1664no—
1065C2×SD16C22×D8311yescharacteristic
1066C2×SD16C22×D8311yescharacteristic
1067C22×C8—831no—
1068C22×C8—831no—
1069C22×C8—831no—
1070C22×C8—831no—
1071C4⋊Q8—21no—
1072C4⋊Q8—831no—
1073C4⋊Q8—831no—
1074C4⋊Q8—831no—
1075C4⋊Q8—1661no—
1076C4⋊Q8—1661no—
1077C4⋊Q8—1661no—
1078C4⋊Q8—1661no—
1079C4⋊Q8—1661no—
1080C4⋊Q8—1661no—
1081C4⋊Q8—1661no—
1082C4⋊Q8—1661no—
1083C4⋊Q8—1661no—
1084C4⋊Q8C22×D8311yescharacteristic
1085#127—831no—
1086#127—831no—
1087#127—831no—
1088#127—1661no—
1089#127—1661no—
1090#127C22×D8311yescharacteristic
1091#125—21no—
1092#125—21no—
1093#125—831no—
1094#125—831no—
1095#125—831no—
1096#125—831no—
1097#125—831no—
1098#125—831no—
1099#125—1661no—
1100#125—1661no—
1101#125—1661no—
1102#125—1661no—
1103#125—1661no—
1104#125—1661no—
1105#125—1661no—
1106#125—1661no—
1107#125—1661no—
1108#125—1661no—
1109#125—1661no—
1110#125—1661no—
1111#125—1661no—
1112#125—1661no—
1113#125—1661no—
1114#125—1661no—
1115#125—1661no—
1116#125—1661no—
1117#125C22×D8311yescharacteristic
1118#125C22×D8311yescharacteristic
1119#124—21no—
1120#124—831no—
1121#124—831no—
1122#124—831no—
1123#124—831no—
1124#124—831no—
1125#124—831no—
1126#124—1661no—
1127#124—1661no—
1128#124—1661no—
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#124C22×D8311yescharacteristic
1138#124C22×D8311yescharacteristic
1139#123—21no—
1140#123—21no—
1141#123—1661no—
1142#123—1661no—
1143#123—1661no—
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—
1155C4×Q8—21no—
1156C4×Q8—831no—
1157C4×Q8—831no—
1158C4×Q8—831no—
1159C4×Q8—831no—
1160C4×Q8—831no—
1161C4×Q8—831no—
1162C4×Q8—831no—
1163C4×Q8—831no—
1164C4×Q8—831no—
1165C4×Q8—831no—
1166C4×Q8—831no—
1167C4×Q8—831no—
1168C4×Q8—831no—
1169C4×Q8—831no—
1170C4×Q8—831no—
1171C4×Q8—831no—
1172C4×Q8—831no—
1173C4×Q8—831no—
1174C4×Q8—831no—
1175C4×Q8—1661no—
1176C4×Q8—1661no—
1177C4×Q8—1661no—
1178C4×Q8—1661no—
1179C4×Q8—1661no—
1180C4×Q8—1661no—
1181C4×Q8—1661no—
1182C4×Q8—1661no—
1183C4×Q8—1661no—
1184C4×Q8—1661no—
1185C4×Q8—1661no—
1186C4×Q8—1661no—
1187C4×Q8—1661no—
1188C4×Q8—1661no—
1189C4×Q8—1661no—
1190C4×Q8C22×D8311yescharacteristic
1191C4×Q8C22×D8311yescharacteristic
1192C4×Q8C22×D8311yescharacteristic
1193C4×Q8C22×D8311yescharacteristic
1194C4×Q8C22×D8311yescharacteristic
1195C4×D4—21no—
1196C4×D4—831no—
1197C4×D4—831no—
1198C4×D4—831no—
1199C4×D4—831no—
1200C4×D4—831no—
1201C4×D4—831no—
1202C4×D4—1661no—
1203C4×D4—1661no—
1204C4×D4—1661no—
1205C4×D4—1661no—
1206C4×D4—1661no—
1207C4×D4—1661no—
1208C4×D4—1661no—
1209C4×D4—1661no—
1210C4×D4—1661no—
1211C4×D4—1661no—
1212C4×D4—1661no—
1213C4×D4C22×D8311yescharacteristic
1214C4×D4C22×D8311yescharacteristic
1215C2×C4⋊C4—831no—
1216C2×C4⋊C4—831no—
1217C2×C4⋊C4—831no—
1218C2×C4⋊C4—831no—
1219C2×C4⋊C4—831no—
1220C2×C4⋊C4—831no—
1221C2×C4⋊C4—831no—
1222C2×C4⋊C4—1661no—
1223C2×C4⋊C4—1661no—
1224C2×C4⋊C4—1661no—
1225C2×C4⋊C4—1661no—
1226C2×C4⋊C4—1661no—
1227C2×C4⋊C4—1661no—
1228C2×C4⋊C4—1661no—
1229C2×C4⋊C4—1661no—
1230C2×C4⋊C4—1661no—
1231C2×C22⋊C4—1661no—
1232C2×C22⋊C4—1661no—
1233C2×C22⋊C4—1661no—
1234C2×C22⋊C4—1661no—
1235C2×C22⋊C4—1661no—
1236C2×C22⋊C4—1661no—
1237C2×C42—831no—
1238C2×C42—831no—
1239C2×C42—831no—
1240C2×C42—1661no—
1241C2×C42—1661no—
1242C2×C42—1661no—
1243C2×C42—1661no—
1244#107—831no—
1245#107—831no—
1246#107—831no—
1247#107C22×D8311yescharacteristic
1248#106—831no—
1249#106—831no—
1250#106—831no—
1251#106—831no—
1252#106—831no—
1253#106—831no—
1254#106C22×D8311yescharacteristic
1255#106C22×D8311yescharacteristic
1256C4⋊C8—831no—
1257C4⋊C8—831no—
1258C4⋊C8—831no—
1259C4⋊C8—831no—
1260C4⋊C8—831no—
1261C4⋊C8—831no—
1262C4⋊C8—831no—
1263C4⋊C8—831no—
1264C4⋊C8—831no—
1265C4⋊C8C22×D8311yescharacteristic
1266C4⋊C8C22×D8311yescharacteristic
1267C4⋊C8C22×D8311yescharacteristic
1268#103—831no—
1269#103—831no—
1270#103—831no—
1271#103—831no—
1272#103—831no—
1273#103—831no—
1274#103—831no—
1275#103—831no—
1276#103—831no—
1277#103—831no—
1278#103—831no—
1279#103—831no—
1280#103C22×D8311yescharacteristic
1281#103C22×D8311yescharacteristic
1282#103C22×D8311yescharacteristic
1283#103C22×D8311yescharacteristic
1284#102—831no—
1285#102—831no—
1286#102—831no—
1287#102—831no—
1288#102—831no—
1289#102—831no—
1290#102—831no—
1291#102—831no—
1292#102—831no—
1293#102—831no—
1294#102—831no—
1295#102—831no—
1296#102—831no—
1297#102—831no—
1298#102—831no—
1299#102—831no—
1300#102—831no—
1301#102—831no—
1302#102C22×D8311yescharacteristic
1303#102C22×D8311yescharacteristic
1304#102C22×D8311yescharacteristic
1305#102C22×D8311yescharacteristic
1306#102C22×D8311yescharacteristic
1307#102C22×D8311yescharacteristic
1308#97—831no—
1309#97—831no—
1310#97—831no—
1311#97—831no—
1312#97—831no—
1313#97—831no—
1314#97C22×D8311yescharacteristic
1315#97C22×D8311yescharacteristic
1316C4×C8—831no—
1317C4×C8—831no—
1318C4×C8—831no—
1319C4×C8C22×D8311yescharacteristic
1320C24—1661no—
1321C24—1661no—
1322C2×Q8—21no—
1323C2×Q8—3324no—
1324C2×Q8—3322no—
1325C2×Q8—831no—
1326C2×Q8—831no—
1327C2×Q8—831no—
1328C2×Q8—834no—
1329C2×Q8—831no—
1330C2×Q8—831no—
1331C2×Q8—1661no—
1332C2×Q8—1661no—
1333C2×Q8—1661no—
1334C2×Q8—1661no—
1335C2×Q8—1662no—
1336C2×Q8—1662no—
1337C2×Q8—1662no—
1338C2×Q8—1661no—
1339C2×Q8D4×D8311yescharacteristic
1340C2×Q8C23×D8311yescharacteristic
1341C2×Q8C23×D8311yescharacteristic
1342C2×D4—21no—
1343C2×D4—21no—
1344C2×D4—3324no—
1345C2×D4—831no—
1346C2×D4—831no—
1347C2×D4—6642no—
1348C2×D4—1662no—
1349C2×D4—1662no—
1350C2×D4—1662no—
1351C2×D4—1662no—
1352C2×D4—1661no—
1353C2×D4—1661no—
1354C2×D4—1661no—
1355C2×D4—1661no—
1356C2×D4—1661no—
1357C2×D4—1661no—
1358C2×D4—1661no—
1359C2×D4—1661no—
1360C2×D4C23×D8311yescharacteristic
1361C2×D4C23×D8311yescharacteristic
1362C22×C4—21no—
1363C22×C4—21no—
1364C22×C4—831no—
1365C22×C4—831no—
1366C22×C4—831no—
1367C22×C4—831no—
1368C22×C4—831no—
1369C22×C4—831no—
1370C22×C4—831no—
1371C22×C4—6642no—
1372C22×C4—6642no—
1373C22×C4—1661no—
1374C22×C4—1661no—
1375C22×C4—1661no—
1376C22×C4—1661no—
1377C22×C4—1661no—
1378C22×C4—1661no—
1379C22×C4—1661no—
1380C22×C4—1661no—
1381C22×C4—1661no—
1382C22×C4—1661no—
1383C22×C4—1661no—
1384C22×C4—1661no—
1385Q16—22no—
1386Q16—1662no—
1387Q16—1662no—
1388Q16—1662no—
1389SD16—22no—
1390SD16—22no—
1391SD16—1662no—
1392SD16—1662no—
1393SD16—1662no—
1394SD16—1662no—
1395SD16—1662no—
1396SD16—1662no—
1397C2×C8—831no—
1398C2×C8—831no—
1399C2×C8—831no—
1400C2×C8—831no—
1401C2×C8—1662no—
1402C2×C8—1662no—
1403C2×C8—1662no—
1404C2×C8—1662no—
1405C2×C8C23×D8311yescharacteristic
1406C2×C8C23×D8311yescharacteristic
1407C2×C8C23×D8311yescharacteristic
1408C2×C8C23×D8311yescharacteristic
1409C4⋊C4—21no—
1410C4⋊C4—21no—
1411C4⋊C4—21no—
1412C4⋊C4—21no—
1413C4⋊C4—21no—
1414C4⋊C4—21no—
1415C4⋊C4—21no—
1416C4⋊C4—21no—
1417C4⋊C4—21no—
1418C4⋊C4—831no—
1419C4⋊C4—831no—
1420C4⋊C4—831no—
1421C4⋊C4—831no—
1422C4⋊C4—831no—
1423C4⋊C4—831no—
1424C4⋊C4—831no—
1425C4⋊C4—831no—
1426C4⋊C4—831no—
1427C4⋊C4—831no—
1428C4⋊C4—831no—
1429C4⋊C4—831no—
1430C4⋊C4—831no—
1431C4⋊C4—1661no—
1432C4⋊C4—1661no—
1433C4⋊C4—1661no—
1434C4⋊C4—1661no—
1435C4⋊C4—1661no—
1436C4⋊C4—1661no—
1437C4⋊C4—1661no—
1438C4⋊C4—1661no—
1439C4⋊C4—1661no—
1440C4⋊C4—1661no—
1441C4⋊C4—1661no—
1442C4⋊C4—1661no—
1443C4⋊C4—1661no—
1444C4⋊C4—1661no—
1445C4⋊C4—1661no—
1446C4⋊C4—1661no—
1447C4⋊C4—1661no—
1448C4⋊C4—1661no—
1449C4⋊C4—1661no—
1450C4⋊C4—1661no—
1451C4⋊C4—1661no—
1452C4⋊C4—1661no—
1453C4⋊C4—1661no—
1454C4⋊C4—1661no—
1455C4⋊C4—1661no—
1456C4⋊C4—1661no—
1457C4⋊C4—1661no—
1458C4⋊C4—1661no—
1459C4⋊C4—1661no—
1460C4⋊C4—1661no—
1461C4⋊C4—1661no—
1462C4⋊C4D4×D8311yescharacteristic
1463C4⋊C4D4×D8311yescharacteristic
1464C4⋊C4D4×D8311yescharacteristic
1465C4⋊C4C23×D8311yescharacteristic
1466C4⋊C4C23×D8311yescharacteristic
1467C4⋊C4C23×D8311yescharacteristic
1468C4⋊C4C23×D8311yescharacteristic
1469C22⋊C4—21no—
1470C22⋊C4—21no—
1471C22⋊C4—21no—
1472C22⋊C4—21no—
1473C22⋊C4—21no—
1474C22⋊C4—21no—
1475C22⋊C4—1661no—
1476C22⋊C4—1661no—
1477C22⋊C4—1661no—
1478C22⋊C4—1661no—
1479C22⋊C4—1661no—
1480C22⋊C4—1661no—
1481C22⋊C4—1661no—
1482C22⋊C4—1661no—
1483C22⋊C4—1661no—
1484C22⋊C4—1661no—
1485C22⋊C4—1661no—
1486C22⋊C4—1661no—
1487C22⋊C4—1661no—
1488C22⋊C4—1661no—
1489C22⋊C4—1661no—
1490C22⋊C4—1661no—
1491C22⋊C4—1661no—
1492C22⋊C4—1661no—
1493C42—21no—
1494C42—21no—
1495C42—21no—
1496C42—21no—
1497C42—831no—
1498C42—831no—
1499C42—831no—
1500C42—831no—
1501C42—831no—
1502C42—831no—
1503C42—831no—
1504C42—831no—
1505C42—831no—
1506C42—1661no—
1507C42—1661no—
1508C42—1661no—
1509C42—1661no—
1510C42—1661no—
1511C42—1661no—
1512C42—1661no—
1513C42—1661no—
1514C42—1661no—
1515C42—1661no—
1516C42—1661no—
1517C42—1661no—
1518C42C23×D8311yescharacteristic
1519C42C23×D8311yescharacteristic
1520C42C23×D8311yescharacteristic
1521C23—21no—
1522C23—21no—
1523C23—3322no—
1524C23—3322no—
1525C23—3322no—
1526C23—3322no—
1527C23—3322no—
1528C23—3322no—
1529C23—831no—
1530C23—1661no—
1531C23—1661no—
1532Q8—21no—
1533Q8—21no—
1534Q8—21no—
1535Q8—41no—
1536Q8—42no—
1537Q8—3322no—
1538Q8—3321no—
1539Q8—3321no—
1540Q8—3321no—
1541Q8—3322no—
1542Q8—3322no—
1543Q8—3322no—
1544Q8—832no—
1545Q8—1664no—
1546Q8—1661no—
1547Q8—1661no—
1548Q8—1661no—
1549Q8#41×D8312yes—
1550D4—21no—
1551D4—21no—
1552D4—21no—
1553D4—21no—
1554D4—42no—
1555D4—81no—
1556D4—3322no—
1557D4—3322no—
1558D4—3322no—
1559D4—3322no—
1560D4—3322no—
1561D4—6641no—
1562D4—6641no—
1563D4—6641no—
1564D4—1661no—
1565D4—1661no—
1566D4—1661no—
1567D4—1661no—
1568C2×C4—21no—
1569C2×C4—21no—
1570C2×C4—21no—
1571C2×C4—21no—
1572C2×C4—21no—
1573C2×C4—21no—
1574C2×C4—81no—
1575C2×C4—81no—
1576C2×C4—3322no—
1577C2×C4—3322no—
1578C2×C4—3322no—
1579C2×C4—3322no—
1580C2×C4—3322no—
1581C2×C4—831no—
1582C2×C4—832no—
1583C2×C4—832no—
1584C2×C4—831no—
1585C2×C4—831no—
1586C2×C4—831no—
1587C2×C4—831no—
1588C2×C4—831no—
1589C2×C4—831no—
1590C2×C4—6641no—
1591C2×C4—6641no—
1592C2×C4—6641no—
1593C2×C4—6641no—
1594C2×C4—6641no—
1595C2×C4—6641no—
1596C2×C4—1662no—
1597C2×C4—1662no—
1598C2×C4—1662no—
1599C2×C4—1662no—
1600C2×C4—1662no—
1601C2×C4—1662no—
1602C2×C4—1664no—
1603C2×C4—1661no—
1604C2×C4—1661no—
1605C2×C4—1661no—
1606C2×C4—1661no—
1607C2×C4—1661no—
1608C2×C4—1661no—
1609C2×C4C2×D4×D8311yescharacteristic
1610C2×C4C2×D4×D8311yescharacteristic
1611C2×C4C2×D4×D8311yescharacteristic
1612C2×C4C2×D4×D8311yescharacteristic
1613C2×C4C2×D4×D8311yescharacteristic
1614C2×C4C2×D4×D8311yescharacteristic
1615C2×C4C24×D8311yescharacteristic
1616C8—21no—
1617C8—21no—
1618C8—21no—
1619C8—21no—
1620C8—1661no—
1621C8—1661no—
1622C8—1661no—
1623C8—1661no—
1624C22—41no—
1625C22—41no—
1626C22—41no—
1627C22—41no—
1628C22—41no—
1629C22—41no—
1630C22—3321no—
1631C22—3321no—
1632C22—3321no—
1633C22—3321no—
1634C22—3321no—
1635C22—3321no—
1636C22—832no—
1637C22—832no—
1638C22—832no—
1639C22—6644no—
1640C22—6644no—
1641C22C22×D4×D8311yescharacteristic
1642C4—22no—
1643C4—21no—
1644C4—21no—
1645C4—21no—
1646C4—21no—
1647C4—21no—
1648C4—21no—
1649C4—41no—
1650C4—41no—
1651C4—41no—
1652C4—41no—
1653C4—41no—
1654C4—3321no—
1655C4—3321no—
1656C4—3321no—
1657C4—3321no—
1658C4—3321no—
1659C4—832no—
1660C4—1662no—
1661C4—1661no—
1662C4—1661no—
1663C4—1661no—
1664C4—1661no—
1665C4—1661no—
1666C4—1661no—
1667C4C2×#41×D8311yescharacteristic
1668C42−1+4×D8311yescharacteristic
1669C2—81no—
1670C2—81no—
1671C2—834no—
1672C2—6641no—
1673C2—6641no—
1674C2#548×D8311yescharacteristic
1675C2#575×D8311yescharacteristic
1676C2#577×D8311yescharacteristic
subgroupG/H
centerC22C22×D4×D83
commutator, cosocleC2×C4×C83C25
FrattiniC2×C4C24×D83
FittingC83×#3371C2
socleC22×C83C23×D4
prime radical#127×D83C22
hypercenter#3371D83
hypocenterC83C2×#3371
LCSG ▷ C2×C4×C83 ▷ C2×C83 ▷ C83
UCSC1 ◁ C22 ◁ C4×Q8 ◁ #3371

Complements

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

NH ≅ G/Ntype
2. #557×D83C2semidirect
3. #24920238C2semidirect
4. #24920237C2semidirect
5. #24920236C2semidirect
6. #24920235C2semidirect
7. #24920234C2semidirect
8. #24920233C2semidirect
9. #24920232C2semidirect
10. #24920231C2semidirect
11. #24920230C2semidirect
12. #24920229C2semidirect
13. #24920228C2semidirect
14. #24920227C2semidirect
15. #24920226C2semidirect
16. #24920225C2semidirect
17. #24920224C2semidirect
19. #489×D83C2semidirect
20. #488×D83C2semidirect
21. #479×D83C2semidirect
22. #478×D83C2semidirect
23. #476×D83C2semidirect
24. #464×D83C2semidirect
25. #464×D83C2semidirect
27. #446×D83C2semidirect
28. #441×D83C2semidirect
29. #440×D83C2semidirect
30. C4×SD16×D83C2semidirect
31. C83×#3371C2semidirect
46. #19128430C22semidirect
48. #19128429C22semidirect
51. #19128428C22semidirect
52. #19128428C22semidirect
53. #19128427C22semidirect
54. #19128427C22semidirect
56. #19128426C22semidirect
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. #19127992C22semidirect
114. #19127991C22semidirect
115. #19127990C22semidirect
116. #19127990C22semidirect
117. #19127989C22semidirect
118. #19127989C22semidirect
119. #19127988C22semidirect
120. #19127926C22semidirect
121. #19127926C22semidirect
122. #19127925C22semidirect
123. #19127925C22semidirect
124. #19127924C22semidirect
125. #19127924C22semidirect
126. #19127923C22semidirect
127. #19127923C22semidirect
128. #19127922C22semidirect
129. #19127922C22semidirect
130. #19127921C22semidirect
131. #19127921C22semidirect
132. #19127920C22semidirect
133. #19127920C22semidirect
141. #19127832C22semidirect
142. #19127831C22semidirect
143. #19127830C22semidirect
144. #19127830C22semidirect
145. #19127829C22semidirect
146. #19127829C22semidirect
147. #19127828C22semidirect
148. #19127809C22semidirect
149. #19127808C22semidirect
150. #19127807C22semidirect
151. #19127806C22semidirect
152. #19127806C22semidirect
153. #19127805C22semidirect
154. #19127805C22semidirect
155. #19127804C22semidirect
156. #19127803C22semidirect
157. #19127802C22semidirect
158. #19127801C22semidirect
159. #19127800C22semidirect
160. #19127799C22semidirect
161. #19127798C22semidirect
162. #19127792C22semidirect
163. C4×#13050579C22semidirect
164. SD16×Dic83C22semidirect
165. C4×#13050577C22semidirect
166. #19127788C22semidirect
167. C4×#13050578C22semidirect
168. #19127786C22semidirect
189. #557×C83C22semidirect
191. #489×C83C22semidirect
192. #488×C83C22semidirect
193. #479×C83C22semidirect
194. #478×C83C22semidirect
195. #476×C83C22semidirect
196. #464×C83C22semidirect
197. #464×C83C22semidirect
199. #446×C83C22semidirect
200. #441×C83C22semidirect
201. #440×C83C22semidirect
202. C4×SD16×C83C22semidirect
838. D83#3371direct (N × H)
856. #3371D83direct (N × H)
870. C83C2×#3371semidirect
897. #557C2×D83semidirect
934. #489C2×D83semidirect
942. #488C2×D83semidirect
950. #479C2×D83semidirect
958. #478C2×D83semidirect
966. #476C2×D83semidirect
981. #464C2×D83semidirect
982. #464C2×D83semidirect
998. #446C2×D83semidirect
1006. #441C2×D83semidirect
1014. #440C2×D83semidirect
1022. C4×SD16C2×D83semidirect

Maximal subgroups

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

subgroupindex
#559×D832
#557×D832
#249202382
#249202372
#249202362
#249202352
#249202342
#249202332
#249202322
#249202312
#249202302
#249202292
#249202282
#249202272
#249202262
#249202252
#249202242
#490×D832
#489×D832
#488×D832
#479×D832
#478×D832
#476×D832
#464×D832
#460×D832
#446×D832
#441×D832
#440×D832
C4×SD16×D832
C83×#33712
C2×#337183