Finite Group Databasebeta

← #3346×D83 #36282975

Subgroups — #3346×D83 #36282975

Order 21248.

1942 conjugacy classes of subgroups.

The subgroup lattice has 1720 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#554×D83C211yesmaximal, characteristic, complemented
2#553×D83C211yesmaximal, characteristic
3#24919955C211yesmaximal, characteristic, complemented
4#24919954C211yesmaximal, characteristic, complemented
5#24919953C211yesmaximal, characteristic, complemented
6#24919952C211yesmaximal, characteristic, complemented
7#24919951C211yesmaximal, characteristic, complemented
8#24919950C211yesmaximal, characteristic, complemented
9#24919949C211yesmaximal, characteristic, complemented
10#24919948C211yesmaximal, characteristic, complemented
11#24919947C211yesmaximal, characteristic, complemented
12#24919946C211yesmaximal, characteristic, complemented
13#24919945C211yesmaximal, characteristic, complemented
14#24919944C211yesmaximal, characteristic, complemented
15#24919943C211yesmaximal, characteristic, complemented
16#24919942C211yesmaximal, characteristic, complemented
17#24919941C211yesmaximal, characteristic, complemented
18#501×D83C211yesmaximal, characteristic, complemented
19#484×D83C211yesmaximal, characteristic, complemented
20#481×D83C211yesmaximal, characteristic, complemented
21#485×D83C211yesmaximal, characteristic, complemented
22#480×D83C211yesmaximal, characteristic, complemented
23#479×D83C211yesmaximal, characteristic, complemented
24#474×D83C211yesmaximal, characteristic, complemented
25#468×D83C211yesmaximal, characteristic, complemented
26#465×D83C211yesmaximal, characteristic, complemented
27#440×D83C211yesmaximal, characteristic, complemented
28#435×D83C211yesmaximal, characteristic, complemented
29#428×D83C211yesmaximal, characteristic, complemented
30C2×#107×D83C211yesmaximal, characteristic, complemented
31C83×#3346C211yesmaximal, characteristic, complemented
32C2×SD16×D83C2211yescharacteristic
33C2×M16×D83C2211yescharacteristic
34C22×C8×D83C2211yescharacteristic
35#19128412C2211yescharacteristic, complemented
36#19128411C2211yescharacteristic, complemented
37#19128410—21no—
38#19128409C2211yescharacteristic, complemented
39#19128409C2211yescharacteristic, complemented
40#19128408C2211yescharacteristic, complemented
41#19128407—21no—
42#19128406C2211yescharacteristic, complemented
43#19128406C2211yescharacteristic, complemented
44#19128405—21no—
45#19128405—21no—
46#19128404C2211yescharacteristic
47#19128403C2211yescharacteristic
48#19128402—21no—
49#19128401C2211yescharacteristic
50#19128400—21no—
51#19128399C2211yescharacteristic
52#19128398C2211yescharacteristic
53#19128397C2211yescharacteristic
54#19128396—21no—
55#19128395C2211yescharacteristic
56#19128394—21no—
57C4⋊Q8×D83C2211yescharacteristic
58#126×D83—21no—
59#125×D83—21no—
60#125×D83C2211yescharacteristic
61#123×D83—21no—
62C22⋊Q8×D83—21no—
63C22⋊Q8×D83—21no—
64C22⋊Q8×D83C2211yescharacteristic
65C22⋊Q8×D83C2211yescharacteristic
66#121×D83—21no—
67#121×D83C2211yescharacteristic
68#121×D83C2211yescharacteristic
69C4×Q8×D83C2211yescharacteristic
70C4×D4×D83—21no—
71C4×D4×D83—21no—
72C4×D4×D83C2211yescharacteristic
73C4×D4×D83C2211yescharacteristic
74#117×D83C2211yescharacteristic
75C2×C4⋊C4×D83C2211yescharacteristic
76C2×C4⋊C4×D83C2211yescharacteristic
77C2×C4⋊C4×D83C2211yescharacteristic
78#19128111C2211yescharacteristic, complemented
79#19128110C2211yescharacteristic, complemented
80#19128109C2211yescharacteristic, complemented
81#19128109C2211yescharacteristic, complemented
82#19128108C2211yescharacteristic, complemented
83#19128108C2211yescharacteristic, complemented
84#19128107C2211yescharacteristic, complemented
85#19128045C2211yescharacteristic, complemented
86#19128044C2211yescharacteristic, complemented
87#19128043C2211yescharacteristic, complemented
88#19128042C2211yescharacteristic, complemented
89#19128041C2211yescharacteristic, complemented
90#19128040C2211yescharacteristic, complemented
91#19128039C2211yescharacteristic, complemented
92#19128038C2211yescharacteristic, complemented
93#19128038C2211yescharacteristic, complemented
94#19128037C2211yescharacteristic, complemented
95#19128036C2211yescharacteristic, complemented
96#19128035C2211yescharacteristic, complemented
97#19128035C2211yescharacteristic, complemented
98#19128034C2211yescharacteristic, complemented
99#19128021C2211yescharacteristic, complemented
100#19128021C2211yescharacteristic, complemented
101#19128020C2211yescharacteristic, complemented
102#19128019C2211yescharacteristic, complemented
103#19128018C2211yescharacteristic, complemented
104#19128018C2211yescharacteristic, complemented
105#19128017C2211yescharacteristic, complemented
106#19128016C2211yescharacteristic, complemented
107#19128016C2211yescharacteristic, complemented
108#19128015C2211yescharacteristic, complemented
109#19128014C2211yescharacteristic, complemented
110#19128013C2211yescharacteristic, complemented
111#19128013C2211yescharacteristic, complemented
112#19128012C2211yescharacteristic, complemented
113#19128011C2211yescharacteristic, complemented
114#19128010C2211yescharacteristic, complemented
115#19128009C2211yescharacteristic, complemented
116#19128008C2211yescharacteristic, complemented
117#19128007C2211yescharacteristic, complemented
118#19128006C2211yescharacteristic, complemented
119#19128005C2211yescharacteristic, complemented
120#19127982C2211yescharacteristic, complemented
121#19127981C2211yescharacteristic, complemented
122#19127980C2211yescharacteristic, complemented
123#19127980C2211yescharacteristic, complemented
124#19127979C2211yescharacteristic, complemented
125#19127979C2211yescharacteristic, complemented
126#19127978C2211yescharacteristic, complemented
127#19127950C2211yescharacteristic, complemented
128#19127949C2211yescharacteristic, complemented
129#19127948C2211yescharacteristic, complemented
130#19127947C2211yescharacteristic, complemented
131#19127946C2211yescharacteristic, complemented
132#19127945C2211yescharacteristic, complemented
133#19127944C2211yescharacteristic, complemented
134#19127933C2211yescharacteristic, complemented
135#19127932C2211yescharacteristic, complemented
136#19127931C2211yescharacteristic, complemented
137#19127930C2211yescharacteristic, complemented
138#19127929C2211yescharacteristic, complemented
139#19127928C2211yescharacteristic, complemented
140#19127927C2211yescharacteristic, complemented
141#19127804C2211yescharacteristic, complemented
142#19127803C2211yescharacteristic, complemented
143#19127802C2211yescharacteristic, complemented
144#19127801C2211yescharacteristic, complemented
145#19127800C2211yescharacteristic, complemented
146#19127799C2211yescharacteristic, complemented
147#19127798C2211yescharacteristic, complemented
148#19127775C2211yescharacteristic, complemented
149#19127774C2211yescharacteristic, complemented
150#19127773C2211yescharacteristic, complemented
151#19127772C2211yescharacteristic, complemented
152#19127771C2211yescharacteristic, complemented
153#19127770C2211yescharacteristic, complemented
154#19127769C2211yescharacteristic, complemented
155#19127744C2211yescharacteristic, complemented
156#19127743C2211yescharacteristic, complemented
157#19127742C2211yescharacteristic, complemented
158#19127742C2211yescharacteristic, complemented
159#19127741C2211yescharacteristic, complemented
160#19127740C2211yescharacteristic, complemented
161#19127740C2211yescharacteristic, complemented
162C2×#14581726C2211yescharacteristic, complemented
163C2×#14581725C2211yescharacteristic, complemented
164C2×#14581725C2211yescharacteristic, complemented
165#107×D83C2211yescharacteristic
166#107×D83C2211yescharacteristic
167#107×D83C2211yescharacteristic
168#107×D83C2211yescharacteristic
169#107×D83C2211yescharacteristic
170#107×D83C2211yescharacteristic
171#107×D83C2211yescharacteristic, complemented
172#107×D83C2211yescharacteristic, complemented
173#107×D83C2211yescharacteristic, complemented
174#107×D83C2211yescharacteristic, complemented
175#106×D83C2211yescharacteristic
176#106×D83C2211yescharacteristic
177#106×D83C2211yescharacteristic
178C4⋊C8×D83C2211yescharacteristic
179#103×D83C2211yescharacteristic
180#103×D83C2211yescharacteristic
181#103×D83C2211yescharacteristic
182#102×D83C2211yescharacteristic
183#102×D83C2211yescharacteristic
184#102×D83C2211yescharacteristic
185C22⋊C8×D83C2211yescharacteristic
186C22⋊C8×D83C2211yescharacteristic
187#97×D83C2211yescharacteristic
188#554×C83C2211yescharacteristic, complemented
189#553×C83C2211yescharacteristic
190#501×C83C2211yescharacteristic, complemented
191#485×C83C2211yescharacteristic, complemented
192#484×C83C2211yescharacteristic, complemented
193#481×C83C2211yescharacteristic, complemented
194#480×C83C2211yescharacteristic, complemented
195#479×C83C2211yescharacteristic, complemented
196#474×C83C2211yescharacteristic, complemented
197#468×C83C2211yescharacteristic, complemented
198#465×C83C2211yescharacteristic, complemented
199#440×C83C2211yescharacteristic, complemented
200#435×C83C2211yescharacteristic, complemented
201#428×C83C2211yescharacteristic, complemented
202C2×#107×C83C2211yescharacteristic, complemented
203C2×Q8×D83—21no—
204C2×Q8×D83C2311yescharacteristic
205C2×D4×D83—21no—
206C2×D4×D83—21no—
207C2×D4×D83D411yescharacteristic
208C2×D4×D83C2311yescharacteristic
209C22×C4×D83—21no—
210C22×C4×D83—21no—
211C22×C4×D83—21no—
212C22×C4×D83—21no—
213C22×C4×D83C2311yescharacteristic
214C22×C4×D83C2311yescharacteristic
215C2×#13050579C2311yescharacteristic
216C2×#13050578C2311yescharacteristic
217C2×#13050577C2311yescharacteristic
218SD16×D83—24no—
219C2×#13050574C2311yescharacteristic
220C2×#13050573C2311yescharacteristic
221C2×#13050573C2311yescharacteristic
222M16×D83—24no—
223C22×C83⋊C8C2311yescharacteristic
224C2×C8×D83—24no—
225C2×C8×D83C2311yescharacteristic
226C2×C8×D83C2311yescharacteristic
227C2×C8×D83C2311yescharacteristic
228C2×C8×D83C2311yescharacteristic
229C2×C8×D83C2311yescharacteristic
230C2×C8×D83C2311yescharacteristic
231#14581792C2311yescharacteristic
232#14581791—21no—
233#14581791C2311yescharacteristic
234#14581791C2311yescharacteristic
235#14581790—21no—
236#14581787—21no—
237#14581787—21no—
238#14581787—21no—
239#14581786—21no—
240#14581785—21no—
241#14581785—21no—
242#14581785—21no—
243#14581784—21no—
244#14581784C2311yescharacteristic
245#14581783—21no—
246#14581783—21no—
247#14581783C2311yescharacteristic
248#14581783C2311yescharacteristic
249#14581782—21no—
250#14581782—21no—
251#14581782—21no—
252#14581782—21no—
253#14581782—21no—
254#14581782—21no—
255#14581777—21no—
256#14581777—21no—
257#14581776—21no—
258#14581775—21no—
259#14581774—21no—
260#14581774—21no—
261#14581773—21no—
262#14581772—21no—
263#14581772—21no—
264#14581772C2311yescharacteristic
265#14581772C2311yescharacteristic
266#14581771—21no—
267#14581771—21no—
268#14581771C2311yescharacteristic
269#14581771C2311yescharacteristic
270#14581770—21no—
271#14581770—21no—
272#14581770—21no—
273#14581770—21no—
274#14581770—21no—
275#14581770—21no—
276#14581769—21no—
277#14581769—21no—
278#14581769—21no—
279#14581769—21no—
280#14581769—21no—
281#14581769—21no—
282#14581768—21no—
283#14581768—21no—
284#14581768C2311yescharacteristic
285#14581768C2311yescharacteristic
286#14581767—21no—
287#14581767C2311yescharacteristic
288#14581767C2311yescharacteristic
289#14581766—21no—
290#14581766C2311yescharacteristic
291#14581766C2311yescharacteristic
292#14581765—21no—
293#14581765—21no—
294#14581765—21no—
295#14581765—21no—
296#14581764—21no—
297#14581764—21no—
298#14581764—21no—
299#14581764—21no—
300#14581763—21no—
301#14581763C2311yescharacteristic
302#14581763C2311yescharacteristic
303Q8×Dic83C2311yescharacteristic
304C4×Dic166—21no—
305C4×Dic166C2311yescharacteristic
306#14581757—21no—
307#14581757C2311yescharacteristic
308C4×D332—21no—
309C4×D332—21no—
310C4×D332C2311yescharacteristic
311C4×D332C2311yescharacteristic
312D4×Dic83—21no—
313D4×Dic83—21no—
314D4×Dic83D411yescharacteristic
315D4×Dic83C2311yescharacteristic
316#14581754—21no—
317#14581754—21no—
318#14581754D411yescharacteristic
319#14581754C2311yescharacteristic
320C4×C22⋊D83—21no—
321C4×C22⋊D83—21no—
322C4×C22⋊D83—21no—
323C4×C22⋊D83—21no—
324C4×C22⋊D83—21no—
325C4×C22⋊D83C2311yescharacteristic
326C4×C22⋊D83C2311yescharacteristic
327(C22⋊D83)⋊C4—21no—
328(C22⋊D83)⋊C4—21no—
329(C22⋊D83)⋊C4—21no—
330(C22⋊D83)⋊C4—21no—
331(C22⋊D83)⋊C4—21no—
332(C22⋊D83)⋊C4D411yescharacteristic
333(C22⋊D83)⋊C4D411yescharacteristic
334#14581751C2311yescharacteristic
335#14581750C2311yescharacteristic
336#14581750C2311yescharacteristic
337#14581749—21no—
338#14581748—21no—
339C2×C4⋊Dic83C2311yescharacteristic
340C2×C4⋊Dic83C2311yescharacteristic
341C2×C4⋊Dic83C2311yescharacteristic
342C2×Dic83⋊C4—21no—
343C2×Dic83⋊C4—21no—
344C2×Dic83⋊C4—21no—
345C4⋊C4×D83—21no—
346C4⋊C4×D83—21no—
347C4⋊C4×D83—21no—
348C4⋊C4×D83—21no—
349C4⋊C4×D83—21no—
350C4⋊C4×D83—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×D83D411yescharacteristic
358C4⋊C4×D83C2311yescharacteristic
359C4⋊C4×D83C2311yescharacteristic
360C4⋊C4×D83C2311yescharacteristic
361C4⋊C4×D83C2311yescharacteristic
362C4⋊C4×D83C2311yescharacteristic
363C4⋊C4×D83C2311yescharacteristic
364C4⋊C4×D83C2311yescharacteristic
365C4⋊C4×D83C2311yescharacteristic
366C4⋊C4×D83C2311yescharacteristic
367C4⋊C4×D83C2311yescharacteristic
368C4⋊C4×D83C2311yescharacteristic
369C4⋊C4×D83C2311yescharacteristic
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×D83D411yescharacteristic
377C22⋊C4×D83D411yescharacteristic
378C42×D83—21no—
379C42×D83—21no—
380C42×D83C2311yescharacteristic
381#14581726C2311yescharacteristic
382#14581726C2311yescharacteristic
383#14581726C2311yescharacteristic
384#14581726C2311yescharacteristic
385#14581726C2311yescharacteristic
386#14581726C2311yescharacteristic
387#14581725C2311yescharacteristic
388#14581725C2311yescharacteristic
389#14581725C2311yescharacteristic
390#14581725C2311yescharacteristic
391#14581725C2311yescharacteristic
392#14581725C2311yescharacteristic
393#14581725C2311yescharacteristic
394#14581725C2311yescharacteristic
395#14581725C2311yescharacteristic
396#14581725C2311yescharacteristic
397#14581725C2311yescharacteristic
398#14581725C2311yescharacteristic
399#14581724C2311yescharacteristic
400#14581724C2311yescharacteristic
401#14581724C2311yescharacteristic
402#14581723C2311yescharacteristic
403#14581723C2311yescharacteristic
404#14581723C2311yescharacteristic
405#14581723C2311yescharacteristic
406#14581723C2311yescharacteristic
407#14581723C2311yescharacteristic
408C4⋊(C83⋊C8)C2311yescharacteristic
409Dic83⋊C8C2311yescharacteristic
410Dic83⋊C8C2311yescharacteristic
411#14581717C2311yescharacteristic
412#14581717C2311yescharacteristic
413#14581717C2311yescharacteristic
414#14581716C2311yescharacteristic
415#14581716C2311yescharacteristic
416#14581716C2311yescharacteristic
417#14581715C2311yescharacteristic
418#14581715C2311yescharacteristic
419#14581715C2311yescharacteristic
420#14581714C2311yescharacteristic
421#14581714C2311yescharacteristic
422#14581714C2311yescharacteristic
423#14581713C2311yescharacteristic
424#14581713C2311yescharacteristic
425#14581713C2311yescharacteristic
426#14581712C2311yescharacteristic
427#14581712C2311yescharacteristic
428#14581712C2311yescharacteristic
429C22⋊(C83⋊C8)C2311yescharacteristic
430C22⋊(C83⋊C8)C2311yescharacteristic
431(C2×D83)⋊C8C2311yescharacteristic
432(C2×D83)⋊C8C2311yescharacteristic
433(C2×D83)⋊C8C2311yescharacteristic
434(C2×D83)⋊C8C2311yescharacteristic
435#14581703C2311yescharacteristic
436#14581702C2311yescharacteristic
437#14581702C2311yescharacteristic
438C2×SD16×C83C2311yescharacteristic
439C2×M16×C83C2311yescharacteristic
440C22×C8×C83C2311yescharacteristic
441C4⋊Q8×C83C2311yescharacteristic
442#126×C83—21no—
443#125×C83—21no—
444#125×C83C2311yescharacteristic
445#123×C83—21no—
446C22⋊Q8×C83—21no—
447C22⋊Q8×C83—21no—
448C22⋊Q8×C83C2311yescharacteristic
449C22⋊Q8×C83C2311yescharacteristic
450#121×C83—21no—
451#121×C83C2311yescharacteristic
452#121×C83C2311yescharacteristic
453C4×Q8×C83C2311yescharacteristic
454C4×D4×C83—21no—
455C4×D4×C83—21no—
456C4×D4×C83C2311yescharacteristic
457C4×D4×C83C2311yescharacteristic
458#117×C83C2311yescharacteristic
459C2×C4⋊C4×C83C2311yescharacteristic
460C2×C4⋊C4×C83C2311yescharacteristic
461C2×C4⋊C4×C83C2311yescharacteristic
462#107×C83C2311yescharacteristic
463#107×C83C2311yescharacteristic
464#107×C83C2311yescharacteristic
465#107×C83C2311yescharacteristic
466#107×C83C2311yescharacteristic
467#107×C83C2311yescharacteristic
468#106×C83C2311yescharacteristic
469#106×C83C2311yescharacteristic
470#106×C83C2311yescharacteristic
471C4⋊C8×C83C2311yescharacteristic
472#103×C83C2311yescharacteristic
473#103×C83C2311yescharacteristic
474#103×C83C2311yescharacteristic
475#102×C83C2311yescharacteristic
476#102×C83C2311yescharacteristic
477#102×C83C2311yescharacteristic
478C22⋊C8×C83C2311yescharacteristic
479C22⋊C8×C83C2311yescharacteristic
480#97×C83C2311yescharacteristic
481C23×D83—21no—
482C23×D83C2×D411yescharacteristic
483C23×D83C2×D411yescharacteristic
484C2×Dic166—21no—
485C2×Dic166—21no—
486C2×Dic166—21no—
487C2×Dic166—21no—
488C2×Dic166C2411yescharacteristic
489Q8×D83—22no—
490Q8×D83—22no—
491Q8×D83—82no—
492C2×D332—21no—
493C2×D332—21no—
494C2×D332C2×D411yescharacteristic
495C2×D332C2411yescharacteristic
496C2×C22⋊D83—21no—
497C2×C22⋊D83—21no—
498C2×C22⋊D83—21no—
499C2×C22⋊D83—21no—
500C2×C22⋊D83—21no—
501C2×C22⋊D83C2×D411yescharacteristic
502C2×C22⋊D83C2×D411yescharacteristic
503D4×D83—24no—
504D4×D83—22no—
505D4×D83—22no—
506D4×D83—44no—
507D4×D83—82no—
508C22×Dic83—21no—
509C22×Dic83—21no—
510C22×Dic83—21no—
511C22×Dic83—21no—
512C22×Dic83C2×D411yescharacteristic
513C22×Dic83C2×D411yescharacteristic
514C2×C4×D83—22no—
515C2×C4×D83—22no—
516C2×C4×D83—22no—
517C2×C4×D83—22no—
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—21no—
528C2×C4×D83—21no—
529C2×C4×D83—21no—
530C2×C4×D83—21no—
531C2×C4×D83—21no—
532C2×C4×D83—21no—
533C2×C4×D83—82no—
534C2×C4×D83—82no—
535C2×C4×D83—82no—
536C2×C4×D83—82no—
537C2×C4×D83C2×D411yescharacteristic
538C2×C4×D83C2×D411yescharacteristic
539C2×C4×D83C2×D411yescharacteristic
540C2×C4×D83C2×D411yescharacteristic
541C2×C4×D83C2×D411yescharacteristic
542C2×C4×D83C2×D411yescharacteristic
543C2×C4×D83C2411yescharacteristic
544C2×C4×D83C2411yescharacteristic
545C2×C4×D83C2411yescharacteristic
546#13050579—22no—
547#13050578—22no—
548#13050577—22no—
549#13050574—22no—
550#13050573—22no—
551#13050573—22no—
552C2×C83⋊C8—22no—
553C2×C83⋊C8C2411yescharacteristic
554C2×C83⋊C8C2411yescharacteristic
555C2×C83⋊C8C2411yescharacteristic
556C2×C83⋊C8C2411yescharacteristic
557C8×D83—22no—
558C8×D83—22no—
559C8×D83—22no—
560C8×D83—22no—
561C8×D83—22no—
562C8×D83#4114yes—
563C4⋊Dic83—21no—
564C4⋊Dic83—21no—
565C4⋊Dic83—21no—
566C4⋊Dic83—21no—
567C4⋊Dic83—21no—
568C4⋊Dic83—21no—
569C4⋊Dic83—21no—
570C4⋊Dic83—21no—
571C4⋊Dic83—21no—
572C4⋊Dic83C2×D411yescharacteristic
573C4⋊Dic83C2411yescharacteristic
574C4⋊Dic83C2411yescharacteristic
575C4⋊Dic83C2411yescharacteristic
576C4⋊Dic83C2411yescharacteristic
577C4⋊Dic83C2411yescharacteristic
578C4⋊Dic83C2411yescharacteristic
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⋊C4—21no—
595Dic83⋊C4—21no—
596Dic83⋊C4—21no—
597Dic83⋊C4—21no—
598Dic83⋊C4—21no—
599Dic83⋊C4—21no—
600Dic83⋊C4—21no—
601Dic83⋊C4—21no—
602Dic83⋊C4—21no—
603Dic83⋊C4C2×D411yescharacteristic
604Dic83⋊C4C2×D411yescharacteristic
605C22⋊Dic83—21no—
606C22⋊Dic83—21no—
607C22⋊Dic83—21no—
608C22⋊Dic83—21no—
609C22⋊Dic83—21no—
610C22⋊Dic83—21no—
611C22⋊Dic83C2×D411yescharacteristic
612C22⋊Dic83C2×D411yescharacteristic
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)⋊C4C2×D411yescharacteristic
626(C2×D83)⋊C4C2×D411yescharacteristic
627(C2×D83)⋊C4C2×D411yescharacteristic
628(C2×D83)⋊C4C2×D411yescharacteristic
629C4×Dic83—21no—
630C4×Dic83—21no—
631C4×Dic83—21no—
632C4×Dic83—21no—
633C4×Dic83—21no—
634C4×Dic83—21no—
635C4×Dic83C2×D411yescharacteristic
636C4×Dic83C2×D411yescharacteristic
637C4×Dic83C2411yescharacteristic
638C2×Q8×C83—21no—
639C2×Q8×C83C2411yescharacteristic
640C2×D4×C83—21no—
641C2×D4×C83—21no—
642C2×D4×C83C2×D411yescharacteristic
643C2×D4×C83C2411yescharacteristic
644C22×C4×C83—21no—
645C22×C4×C83—21no—
646C22×C4×C83—21no—
647C22×C4×C83—21no—
648C22×C4×C83C2411yescharacteristic
649C22×C4×C83C2411yescharacteristic
650SD16×C83—22no—
651M16×C83—22no—
652C2×C8×C83—22no—
653C2×C8×C83C2411yescharacteristic
654C2×C8×C83C2411yescharacteristic
655C2×C8×C83C2411yescharacteristic
656C2×C8×C83C2411yescharacteristic
657C4⋊C4×C83—21no—
658C4⋊C4×C83—21no—
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×C83—21no—
666C4⋊C4×C83C2×D411yescharacteristic
667C4⋊C4×C83C2411yescharacteristic
668C4⋊C4×C83C2411yescharacteristic
669C4⋊C4×C83C2411yescharacteristic
670C4⋊C4×C83C2411yescharacteristic
671C4⋊C4×C83C2411yescharacteristic
672C4⋊C4×C83C2411yescharacteristic
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×C83C2×D411yescharacteristic
680C22⋊C4×C83C2×D411yescharacteristic
681C42×C83—21no—
682C42×C83—21no—
683C42×C83C2411yescharacteristic
684C23×C83—21no—
685C23×C83C22×D411yescharacteristic
686C23×C83C22×D411yescharacteristic
687C22×D83—22no—
688C22×D83—22no—
689C22×D83—22no—
690C22×D83—22no—
691C22×D83—22no—
692C22×D83—21no—
693C22×D83—42no—
694C22×D83—42no—
695C22×D83—42no—
696C22×D83#13714yes—
697C22×D83C22×D411yescharacteristic
698C22×D83C22×D411yescharacteristic
699C22×D83C22×D411yescharacteristic
700Q8×C83—21no—
701Q8×C83—21no—
702Q8×C83—81no—
703D4×C83—22no—
704D4×C83—21no—
705D4×C83—21no—
706D4×C83—42no—
707D4×C83—81no—
708C2×C4×C83—21no—
709C2×C4×C83—21no—
710C2×C4×C83—21no—
711C2×C4×C83—21no—
712C2×C4×C83—21no—
713C2×C4×C83—21no—
714C2×C4×C83—21no—
715C2×C4×C83—21no—
716C2×C4×C83—21no—
717C2×C4×C83—21no—
718C2×C4×C83—21no—
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×C83C2511yescharacteristic
728C22⋊D83—22no—
729C22⋊D83—22no—
730C22⋊D83—42no—
731C22⋊D83—42no—
732C22⋊D83—42no—
733C22⋊D83—81no—
734C22⋊D83—81no—
735C2×Dic83—22no—
736C2×Dic83—22no—
737C2×Dic83—21no—
738C2×Dic83—21no—
739C2×Dic83—21no—
740C2×Dic83—21no—
741C2×Dic83—21no—
742C2×Dic83—21no—
743C2×Dic83—21no—
744C2×Dic83—81no—
745C2×Dic83—81no—
746C2×Dic83—81no—
747C2×Dic83—81no—
748C2×Dic83C22×D411yescharacteristic
749C2×Dic83C22×D411yescharacteristic
750C2×Dic83C22×D411yescharacteristic
751C2×Dic83C22×D411yescharacteristic
752C2×Dic83C22×D411yescharacteristic
753D332—22no—
754D332—21no—
755D332—21no—
756D332—42no—
757D332—81no—
758C4×D83—22no—
759C4×D83—22no—
760C4×D83—22no—
761C4×D83—22no—
762C4×D83—21no—
763C4×D83—21no—
764C4×D83—21no—
765C4×D83—21no—
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—42no—
788Dic166—81no—
789Dic166—81no—
790Dic166—81no—
791C8×C83—21no—
792C8×C83—21no—
793C8×C83—21no—
794C8×C83C2×#4112yes—
795C83⋊C8—21no—
796C83⋊C8—21no—
797C83⋊C8—21no—
798C83⋊C8C2×#4112yes—
799C22×C83—21no—
800C22×C83—21no—
801C22×C83—21no—
802C22×C83—21no—
803C22×C83—21no—
804C22×C83—41no—
805C22×C83—41no—
806C22×C83—41no—
807C22×C83C2×#13712yes—
808C22×C83C23×D411yescharacteristic
809C2×D83—21no—
810C2×D83—21no—
811C2×D83—28no—
812C2×D83—21no—
813C2×D83—21no—
814C2×D83—21no—
815C2×D83—44no—
816C2×D83—41no—
817C2×D83—41no—
818C2×D83—41no—
819C2×D83—84no—
820C2×D83#54712yes—
821C2×D83C2×#13712yes—
822C2×D83C2×#13712yes—
823C2×D83#57612yes—
824C4×C83—21no—
825C4×C83—21no—
826C4×C83—21no—
827C4×C83—21no—
828C4×C83—41no—
829C4×C83—41no—
830C4×C83—41no—
831C4×C83—41no—
832C4×C83—41no—
833C4×C83—41no—
834C4×C83—41no—
835C4×C83C22×#4111yescharacteristic
836C4×C83C2×2−1+411yescharacteristic
837Dic83—21no—
838Dic83—21no—
839Dic83—21no—
840Dic83—21no—
841Dic83—41no—
842Dic83—41no—
843Dic83—41no—
844Dic83—41no—
845Dic83—41no—
846Dic83—41no—
847Dic83—41no—
848Dic83#54712yes—
849C2×#3346—831nomaximal, Sylow
850C2×C83—22no—
851C2×C83—41no—
852C2×C83—81no—
853C2×C83C2×#54711yescharacteristic
854C2×C83C22×#13711yescharacteristic
855C2×C83C2×#57611yescharacteristic
856D83—22no—
857D83—41no—
858D83—81no—
859D83#334614yesdirect product factor
860C2×#554—831no—
861C2×#553—831no—
862#3346—831no—
863#3346—831no—
864#3346—831no—
865#3346—831no—
866#3346—831no—
867#3346—831no—
868#3346—831no—
869#3346—831no—
870#3346—831no—
871#3346—831no—
872#3346—831no—
873#3346—831no—
874#3346—831no—
875#3346—831no—
876#3346—831no—
877#3346D8311yescharacteristic, direct product factor
878C2×#501—831no—
879C2×#484—831no—
880C2×#481—831no—
881C2×#485—831no—
882C2×#480—831no—
883C2×#479—831no—
884C2×#474—831no—
885C2×#468—831no—
886C2×#465—831no—
887C2×#440—831no—
888C2×#435—831no—
889C2×#428—831no—
890C22×#107—831no—
891C83C2×#334611yescharacteristic, complemented, Sylow
892C22×SD16—831no—
893C22×M16—831no—
894C23×C8—831no—
895#554—831no—
896#554—831no—
897#554—831no—
898#554—831no—
899#554—831no—
900#554—831no—
901#554—831no—
902#554—1661no—
903#554—1661no—
904#554—1661no—
905#554—1661no—
906#554C2×D8311yescharacteristic, complemented
907#553—831no—
908#553—831no—
909#553—831no—
910#553—831no—
911#553—831no—
912#553—831no—
913#553—831no—
914#553—1661no—
915#553—1661no—
916#553—1661no—
917#553—1661no—
918#553C2×D8311yescharacteristic
919C2×C4⋊Q8—831no—
920C2×#126—1661no—
921C2×#125—831no—
922C2×#125—1661no—
923C2×#123—1661no—
924C2×C22⋊Q8—831no—
925C2×C22⋊Q8—831no—
926C2×C22⋊Q8—1661no—
927C2×C22⋊Q8—1661no—
928C2×#121—831no—
929C2×#121—831no—
930C2×#121—1661no—
931C2×C4×Q8—831no—
932C2×C4×D4—831no—
933C2×C4×D4—831no—
934C2×C4×D4—1661no—
935C2×C4×D4—1661no—
936C2×#117—831no—
937C22×C4⋊C4—831no—
938C22×C4⋊C4—831no—
939C22×C4⋊C4—831no—
940#501—831no—
941#501—831no—
942#501—831no—
943#501—831no—
944#501—831no—
945#501—831no—
946#501—831no—
947#501C2×D8311yescharacteristic, complemented
948#485—831no—
949#485—831no—
950#485—831no—
951#485—831no—
952#485—831no—
953#485—831no—
954#485—831no—
955#485C2×D8311yescharacteristic, complemented
956#484—831no—
957#484—831no—
958#484—831no—
959#484—831no—
960#484—831no—
961#484—831no—
962#484—831no—
963#484C2×D8311yescharacteristic, complemented
964#481—831no—
965#481—831no—
966#481—831no—
967#481—831no—
968#481—831no—
969#481—831no—
970#481—831no—
971#481C2×D8311yescharacteristic, complemented
972#480—831no—
973#480—831no—
974#480—831no—
975#480—831no—
976#480—831no—
977#480—831no—
978#480—831no—
979#480C2×D8311yescharacteristic, complemented
980#479—831no—
981#479—831no—
982#479—831no—
983#479—831no—
984#479—831no—
985#479—831no—
986#479—831no—
987#479C2×D8311yescharacteristic, complemented
988#474—831no—
989#474—831no—
990#474—831no—
991#474—831no—
992#474—831no—
993#474—831no—
994#474—831no—
995#474C2×D8311yescharacteristic, complemented
996#468—831no—
997#468—831no—
998#468—831no—
999#468—831no—
1000#468—831no—
1001#468—831no—
1002#468—831no—
1003#468C2×D8311yescharacteristic, complemented
1004#465—831no—
1005#465—831no—
1006#465—831no—
1007#465—831no—
1008#465—831no—
1009#465—831no—
1010#465—831no—
1011#465C2×D8311yescharacteristic, complemented
1012#440—831no—
1013#440—831no—
1014#440—831no—
1015#440—831no—
1016#440—831no—
1017#440—831no—
1018#440—831no—
1019#440C2×D8311yescharacteristic, complemented
1020#435—831no—
1021#435—831no—
1022#435—831no—
1023#435—831no—
1024#435—831no—
1025#435—831no—
1026#435—831no—
1027#435C2×D8311yescharacteristic, complemented
1028#428—831no—
1029#428—831no—
1030#428—831no—
1031#428—831no—
1032#428—831no—
1033#428—831no—
1034#428—831no—
1035#428C2×D8311yescharacteristic, complemented
1036C2×#107—831no—
1037C2×#107—831no—
1038C2×#107—831no—
1039C2×#107—831no—
1040C2×#107—831no—
1041C2×#107—831no—
1042C2×#107—831no—
1043C2×#107—831no—
1044C2×#107—831no—
1045C2×#107—831no—
1046C2×#107—831no—
1047C2×#107—831no—
1048C2×#107—831no—
1049C2×#107C2×D8311yescharacteristic, complemented
1050C2×#106—831no—
1051C2×#106—831no—
1052C2×#106—831no—
1053C2×C4⋊C8—831no—
1054C2×#103—831no—
1055C2×#103—831no—
1056C2×#103—831no—
1057C2×#102—831no—
1058C2×#102—831no—
1059C2×#102—831no—
1060C2×C22⋊C8—831no—
1061C2×C22⋊C8—831no—
1062C2×#97—831no—
1063C22×Q8—831no—
1064C22×Q8—1661no—
1065C22×D4—831no—
1066C22×D4—831no—
1067C22×D4—1661no—
1068C22×D4—1661no—
1069C23×C4—831no—
1070C23×C4—831no—
1071C23×C4—1661no—
1072C23×C4—1661no—
1073C23×C4—1661no—
1074C23×C4—1661no—
1075C2×SD16—831no—
1076C2×SD16—831no—
1077C2×SD16—831no—
1078C2×SD16—1664no—
1079C2×SD16C22×D8311yescharacteristic
1080C2×M16—831no—
1081C2×M16—831no—
1082C2×M16—831no—
1083C2×M16—1664no—
1084C2×M16C22×D8311yescharacteristic
1085C22×C8—831no—
1086C22×C8—831no—
1087C22×C8—831no—
1088C22×C8—831no—
1089C22×C8—831no—
1090C22×C8—831no—
1091C22×C8—831no—
1092C22×C8—1664no—
1093C22×C8C22×D8311yescharacteristic
1094C4⋊Q8—831no—
1095C4⋊Q8—831no—
1096C4⋊Q8—831no—
1097C4⋊Q8—1661no—
1098C4⋊Q8—1661no—
1099C4⋊Q8C22×D8311yescharacteristic
1100#126—21no—
1101#126—1661no—
1102#126—1661no—
1103#126—1661no—
1104#126—1661no—
1105#126—1661no—
1106#126—1661no—
1107#126—1661no—
1108#125—21no—
1109#125—831no—
1110#125—831no—
1111#125—831no—
1112#125—1661no—
1113#125—1661no—
1114#125—1661no—
1115#125—1661no—
1116#125—1661no—
1117#125—1661no—
1118#125—1661no—
1119#125—1661no—
1120#125—1661no—
1121#125C22×D8311yescharacteristic
1122#123—21no—
1123#123—1661no—
1124#123—1661no—
1125#123—1661no—
1126#123—1661no—
1127#123—1661no—
1128#123—1661no—
1129#123—1661no—
1130C22⋊Q8—21no—
1131C22⋊Q8—21no—
1132C22⋊Q8—831no—
1133C22⋊Q8—831no—
1134C22⋊Q8—831no—
1135C22⋊Q8—831no—
1136C22⋊Q8—831no—
1137C22⋊Q8—831no—
1138C22⋊Q8—1661no—
1139C22⋊Q8—1661no—
1140C22⋊Q8—1661no—
1141C22⋊Q8—1661no—
1142C22⋊Q8—1661no—
1143C22⋊Q8—1661no—
1144C22⋊Q8—1661no—
1145C22⋊Q8—1661no—
1146C22⋊Q8—1661no—
1147C22⋊Q8—1661no—
1148C22⋊Q8—1661no—
1149C22⋊Q8—1661no—
1150C22⋊Q8—1661no—
1151C22⋊Q8—1661no—
1152C22⋊Q8—1661no—
1153C22⋊Q8—1661no—
1154C22⋊Q8—1661no—
1155C22⋊Q8—1661no—
1156C22⋊Q8C22×D8311yescharacteristic
1157C22⋊Q8C22×D8311yescharacteristic
1158#121—21no—
1159#121—831no—
1160#121—831no—
1161#121—831no—
1162#121—831no—
1163#121—831no—
1164#121—831no—
1165#121—1661no—
1166#121—1661no—
1167#121—1661no—
1168#121—1661no—
1169#121—1661no—
1170#121—1661no—
1171#121—1661no—
1172#121—1661no—
1173#121—1661no—
1174#121—1661no—
1175#121—1661no—
1176#121C22×D8311yescharacteristic
1177#121C22×D8311yescharacteristic
1178C4×Q8—831no—
1179C4×Q8—831no—
1180C4×Q8—831no—
1181C4×Q8—1661no—
1182C4×Q8—1661no—
1183C4×Q8C22×D8311yescharacteristic
1184C4×D4—21no—
1185C4×D4—21no—
1186C4×D4—831no—
1187C4×D4—831no—
1188C4×D4—831no—
1189C4×D4—831no—
1190C4×D4—831no—
1191C4×D4—831no—
1192C4×D4—831no—
1193C4×D4—831no—
1194C4×D4—831no—
1195C4×D4—831no—
1196C4×D4—1661no—
1197C4×D4—1661no—
1198C4×D4—1661no—
1199C4×D4—1661no—
1200C4×D4—1661no—
1201C4×D4—1661no—
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×D4C22×D8311yescharacteristic
1213C4×D4C22×D8311yescharacteristic
1214#117—831no—
1215#117—831no—
1216#117—831no—
1217#117—1661no—
1218#117—1661no—
1219#117C22×D8311yescharacteristic
1220C2×C4⋊C4—831no—
1221C2×C4⋊C4—831no—
1222C2×C4⋊C4—831no—
1223C2×C4⋊C4—831no—
1224C2×C4⋊C4—831no—
1225C2×C4⋊C4—831no—
1226C2×C4⋊C4—831no—
1227C2×C4⋊C4—831no—
1228C2×C4⋊C4—831no—
1229C2×C4⋊C4—831no—
1230C2×C4⋊C4—831no—
1231C2×C4⋊C4—831no—
1232C2×C4⋊C4—831no—
1233C2×C4⋊C4—831no—
1234C2×C4⋊C4—831no—
1235C2×C4⋊C4—831no—
1236C2×C4⋊C4—1661no—
1237C2×C4⋊C4—1661no—
1238C2×C4⋊C4—1661no—
1239C2×C4⋊C4—1661no—
1240C2×C4⋊C4—1661no—
1241C2×C4⋊C4—1661no—
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⋊C4C22×D8311yescharacteristic
1252C2×C4⋊C4C22×D8311yescharacteristic
1253C2×C4⋊C4C22×D8311yescharacteristic
1254C2×C22⋊C4—831no—
1255C2×C22⋊C4—831no—
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×C42—831no—
1263C2×C42—1661no—
1264C2×C42—1661no—
1265#107—831no—
1266#107—831no—
1267#107—831no—
1268#107—831no—
1269#107—831no—
1270#107—831no—
1271#107—831no—
1272#107—831no—
1273#107—831no—
1274#107—831no—
1275#107—831no—
1276#107—831no—
1277#107—831no—
1278#107—831no—
1279#107—831no—
1280#107—831no—
1281#107—831no—
1282#107—831no—
1283#107C22×D8311yescharacteristic
1284#107C22×D8311yescharacteristic
1285#107C22×D8311yescharacteristic
1286#107C22×D8311yescharacteristic
1287#107C22×D8311yescharacteristic
1288#107C22×D8311yescharacteristic
1289#106—831no—
1290#106—831no—
1291#106—831no—
1292#106—831no—
1293#106—831no—
1294#106—831no—
1295#106—831no—
1296#106—831no—
1297#106—831no—
1298#106C22×D8311yescharacteristic
1299#106C22×D8311yescharacteristic
1300#106C22×D8311yescharacteristic
1301C4⋊C8—831no—
1302C4⋊C8—831no—
1303C4⋊C8—831no—
1304C4⋊C8C22×D8311yescharacteristic
1305#103—831no—
1306#103—831no—
1307#103—831no—
1308#103—831no—
1309#103—831no—
1310#103—831no—
1311#103—831no—
1312#103—831no—
1313#103—831no—
1314#103C22×D8311yescharacteristic
1315#103C22×D8311yescharacteristic
1316#103C22×D8311yescharacteristic
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#102—831no—
1326#102C22×D8311yescharacteristic
1327#102C22×D8311yescharacteristic
1328#102C22×D8311yescharacteristic
1329C22⋊C8—831no—
1330C22⋊C8—831no—
1331C22⋊C8—831no—
1332C22⋊C8—831no—
1333C22⋊C8—831no—
1334C22⋊C8—831no—
1335C22⋊C8C22×D8311yescharacteristic
1336C22⋊C8C22×D8311yescharacteristic
1337#97—831no—
1338#97—831no—
1339#97—831no—
1340#97C22×D8311yescharacteristic
1341C24—831no—
1342C24—831no—
1343C24—1661no—
1344C2×Q8—21no—
1345C2×Q8—831no—
1346C2×Q8—6642no—
1347C2×Q8—1661no—
1348C2×Q8—1661no—
1349C2×Q8—1661no—
1350C2×Q8—1662no—
1351C2×Q8—1662no—
1352C2×Q8—1661no—
1353C2×Q8C23×D8311yescharacteristic
1354C2×D4—21no—
1355C2×D4—21no—
1356C2×D4—3324no—
1357C2×D4—831no—
1358C2×D4—831no—
1359C2×D4—831no—
1360C2×D4—831no—
1361C2×D4—6642no—
1362C2×D4—1661no—
1363C2×D4—1661no—
1364C2×D4—1662no—
1365C2×D4—1662no—
1366C2×D4—1661no—
1367C2×D4—1664no—
1368C2×D4—1661no—
1369C2×D4—1661no—
1370C2×D4—1661no—
1371C2×D4—1661no—
1372C2×D4D4×D8311yescharacteristic
1373C2×D4C23×D8311yescharacteristic
1374C22×C4—21no—
1375C22×C4—21no—
1376C22×C4—21no—
1377C22×C4—21no—
1378C22×C4—831no—
1379C22×C4—831no—
1380C22×C4—831no—
1381C22×C4—831no—
1382C22×C4—831no—
1383C22×C4—831no—
1384C22×C4—831no—
1385C22×C4—831no—
1386C22×C4—831no—
1387C22×C4—831no—
1388C22×C4—831no—
1389C22×C4—6642no—
1390C22×C4—6642no—
1391C22×C4—6642no—
1392C22×C4—6642no—
1393C22×C4—1661no—
1394C22×C4—1661no—
1395C22×C4—1661no—
1396C22×C4—1661no—
1397C22×C4—1661no—
1398C22×C4—1661no—
1399C22×C4—1661no—
1400C22×C4—1661no—
1401C22×C4—1662no—
1402C22×C4—1662no—
1403C22×C4—1662no—
1404C22×C4—1662no—
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×C4C23×D8311yescharacteristic
1417C22×C4C23×D8311yescharacteristic
1418SD16—22no—
1419SD16—1662no—
1420SD16—1662no—
1421SD16—1662no—
1422M16—22no—
1423M16—1662no—
1424M16—1662no—
1425M16—1662no—
1426C2×C8—22no—
1427C2×C8—831no—
1428C2×C8—834no—
1429C2×C8—831no—
1430C2×C8—831no—
1431C2×C8—831no—
1432C2×C8—1662no—
1433C2×C8—1662no—
1434C2×C8—1662no—
1435C2×C8—1662no—
1436C2×C8—1662no—
1437C2×C8—1662no—
1438C2×C8C23×D8311yescharacteristic
1439C2×C8C23×D8311yescharacteristic
1440C2×C8C23×D8311yescharacteristic
1441C2×C8C23×D8311yescharacteristic
1442C4⋊C4—21no—
1443C4⋊C4—21no—
1444C4⋊C4—21no—
1445C4⋊C4—21no—
1446C4⋊C4—21no—
1447C4⋊C4—21no—
1448C4⋊C4—21no—
1449C4⋊C4—21no—
1450C4⋊C4—21no—
1451C4⋊C4—831no—
1452C4⋊C4—831no—
1453C4⋊C4—831no—
1454C4⋊C4—831no—
1455C4⋊C4—831no—
1456C4⋊C4—831no—
1457C4⋊C4—831no—
1458C4⋊C4—831no—
1459C4⋊C4—831no—
1460C4⋊C4—1661no—
1461C4⋊C4—1661no—
1462C4⋊C4—1661no—
1463C4⋊C4—1661no—
1464C4⋊C4—1661no—
1465C4⋊C4—1661no—
1466C4⋊C4—1661no—
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⋊C4—1661no—
1490C4⋊C4—1661no—
1491C4⋊C4—1661no—
1492C4⋊C4—1661no—
1493C4⋊C4D4×D8311yescharacteristic
1494C4⋊C4C23×D8311yescharacteristic
1495C4⋊C4C23×D8311yescharacteristic
1496C4⋊C4C23×D8311yescharacteristic
1497C4⋊C4C23×D8311yescharacteristic
1498C4⋊C4C23×D8311yescharacteristic
1499C4⋊C4C23×D8311yescharacteristic
1500C22⋊C4—21no—
1501C22⋊C4—21no—
1502C22⋊C4—21no—
1503C22⋊C4—21no—
1504C22⋊C4—21no—
1505C22⋊C4—21no—
1506C22⋊C4—831no—
1507C22⋊C4—831no—
1508C22⋊C4—831no—
1509C22⋊C4—831no—
1510C22⋊C4—831no—
1511C22⋊C4—831no—
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⋊C4D4×D8311yescharacteristic
1531C22⋊C4D4×D8311yescharacteristic
1532C42—21no—
1533C42—21no—
1534C42—831no—
1535C42—831no—
1536C42—831no—
1537C42—1661no—
1538C42—1661no—
1539C42—1661no—
1540C42—1661no—
1541C42—1661no—
1542C42—1661no—
1543C42C23×D8311yescharacteristic
1544C23—21no—
1545C23—3322no—
1546C23—3322no—
1547C23—3322no—
1548C23—831no—
1549C23—834no—
1550C23—831no—
1551C23—831no—
1552C23—1662no—
1553C23—1662no—
1554C23—1662no—
1555C23—1662no—
1556C23—1662no—
1557C23—1661no—
1558C23C2×D4×D8311yescharacteristic
1559C23C2×D4×D8311yescharacteristic
1560Q8—21no—
1561Q8—21no—
1562Q8—81no—
1563Q8—3322no—
1564Q8—6641no—
1565Q8—6641no—
1566Q8—6641no—
1567Q8—1661no—
1568Q8—1661no—
1569D4—22no—
1570D4—21no—
1571D4—21no—
1572D4—42no—
1573D4—81no—
1574D4—3322no—
1575D4—3322no—
1576D4—3322no—
1577D4—3322no—
1578D4—6641no—
1579D4—6641no—
1580D4—6641no—
1581D4—1662no—
1582D4—1662no—
1583D4—1662no—
1584D4—1661no—
1585D4—1661no—
1586C2×C4—21no—
1587C2×C4—21no—
1588C2×C4—21no—
1589C2×C4—21no—
1590C2×C4—21no—
1591C2×C4—21no—
1592C2×C4—21no—
1593C2×C4—21no—
1594C2×C4—21no—
1595C2×C4—21no—
1596C2×C4—21no—
1597C2×C4—81no—
1598C2×C4—81no—
1599C2×C4—81no—
1600C2×C4—81no—
1601C2×C4—3322no—
1602C2×C4—3322no—
1603C2×C4—3322no—
1604C2×C4—3322no—
1605C2×C4—3322no—
1606C2×C4—3322no—
1607C2×C4—3322no—
1608C2×C4—831no—
1609C2×C4—832no—
1610C2×C4—832no—
1611C2×C4—831no—
1612C2×C4—831no—
1613C2×C4—831no—
1614C2×C4—831no—
1615C2×C4—6641no—
1616C2×C4—6641no—
1617C2×C4—6641no—
1618C2×C4—6641no—
1619C2×C4—6641no—
1620C2×C4—6641no—
1621C2×C4—6641no—
1622C2×C4—6641no—
1623C2×C4—6641no—
1624C2×C4—6641no—
1625C2×C4—6641no—
1626C2×C4—6641no—
1627C2×C4—1662no—
1628C2×C4—1662no—
1629C2×C4—1662no—
1630C2×C4—1662no—
1631C2×C4—1662no—
1632C2×C4—1662no—
1633C2×C4—1661no—
1634C2×C4—1661no—
1635C2×C4—1661no—
1636C2×C4—1661no—
1637C2×C4—1661no—
1638C2×C4—1661no—
1639C2×C4—1661no—
1640C2×C4—1662no—
1641C2×C4—1662no—
1642C2×C4—1661no—
1643C2×C4—1661no—
1644C2×C4—1661no—
1645C2×C4—1661no—
1646C2×C4C2×D4×D8311yescharacteristic
1647C2×C4C2×D4×D8311yescharacteristic
1648C2×C4C2×D4×D8311yescharacteristic
1649C2×C4C2×D4×D8311yescharacteristic
1650C2×C4C24×D8311yescharacteristic
1651C8—21no—
1652C8—21no—
1653C8—21no—
1654C8—832no—
1655C8—1661no—
1656C8—1661no—
1657C8—1661no—
1658C8#41×D8312yes—
1659C22—21no—
1660C22—21no—
1661C22—21no—
1662C22—21no—
1663C22—21no—
1664C22—41no—
1665C22—41no—
1666C22—41no—
1667C22—3324no—
1668C22—3321no—
1669C22—3321no—
1670C22—3321no—
1671C22—832no—
1672C22—832no—
1673C22—832no—
1674C22—832no—
1675C22—6644no—
1676C22—1668no—
1677C22—1661no—
1678C22—1661no—
1679C22—1661no—
1680C22—1661no—
1681C22—1661no—
1682C22#137×D8312yes—
1683C22C22×D4×D8311yescharacteristic
1684C4—21no—
1685C4—21no—
1686C4—21no—
1687C4—21no—
1688C4—41no—
1689C4—41no—
1690C4—41no—
1691C4—41no—
1692C4—41no—
1693C4—41no—
1694C4—41no—
1695C4—3321no—
1696C4—3321no—
1697C4—3321no—
1698C4—3321no—
1699C4—3321no—
1700C4—3321no—
1701C4—3321no—
1702C4—832no—
1703C4—1661no—
1704C4—1661no—
1705C4—1661no—
1706C4—1661no—
1707C4C2×#41×D8311yescharacteristic
1708C42−1+4×D8311yescharacteristic
1709C2—22no—
1710C2—41no—
1711C2—81no—
1712C2—3321no—
1713C2—834no—
1714C2—6641no—
1715C2—1662no—
1716C2#547×D8311yescharacteristic
1717C2C2×#137×D8311yescharacteristic
1718C2#576×D8311yescharacteristic
subgroupG/H
centerC22C22×D4×D83
commutator, cosocleC2×C4×C83C25
FrattiniC2×C4C24×D83
FittingC83×#3346C2
socleC22×C83C23×D4
prime radical#553×D83C2
hypercenter#3346D83
hypocenterC83C2×#3346
LCSG ▷ C2×C4×C83 ▷ C2×C83 ▷ C83
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3346

Complements

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

NH ≅ G/Ntype
1. #554×D83C2semidirect
3. #24919955C2semidirect
4. #24919954C2semidirect
5. #24919953C2semidirect
6. #24919952C2semidirect
7. #24919951C2semidirect
8. #24919950C2semidirect
9. #24919949C2semidirect
10. #24919948C2semidirect
11. #24919947C2semidirect
12. #24919946C2semidirect
13. #24919945C2semidirect
14. #24919944C2semidirect
15. #24919943C2semidirect
16. #24919942C2semidirect
17. #24919941C2semidirect
18. #501×D83C2semidirect
19. #484×D83C2semidirect
20. #481×D83C2semidirect
21. #485×D83C2semidirect
22. #480×D83C2semidirect
23. #479×D83C2semidirect
24. #474×D83C2semidirect
25. #468×D83C2semidirect
26. #465×D83C2semidirect
27. #440×D83C2semidirect
28. #435×D83C2semidirect
29. #428×D83C2semidirect
30. C2×#107×D83C2semidirect
31. C83×#3346C2semidirect
35. #19128412C22semidirect
36. #19128411C22semidirect
38. #19128409C22semidirect
39. #19128409C22semidirect
40. #19128408C22semidirect
42. #19128406C22semidirect
43. #19128406C22semidirect
78. #19128111C22semidirect
79. #19128110C22semidirect
80. #19128109C22semidirect
81. #19128109C22semidirect
82. #19128108C22semidirect
83. #19128108C22semidirect
84. #19128107C22semidirect
85. #19128045C22semidirect
86. #19128044C22semidirect
87. #19128043C22semidirect
88. #19128042C22semidirect
89. #19128041C22semidirect
90. #19128040C22semidirect
91. #19128039C22semidirect
92. #19128038C22semidirect
93. #19128038C22semidirect
94. #19128037C22semidirect
95. #19128036C22semidirect
96. #19128035C22semidirect
97. #19128035C22semidirect
98. #19128034C22semidirect
99. #19128021C22semidirect
100. #19128021C22semidirect
101. #19128020C22semidirect
102. #19128019C22semidirect
103. #19128018C22semidirect
104. #19128018C22semidirect
105. #19128017C22semidirect
106. #19128016C22semidirect
107. #19128016C22semidirect
108. #19128015C22semidirect
109. #19128014C22semidirect
110. #19128013C22semidirect
111. #19128013C22semidirect
112. #19128012C22semidirect
113. #19128011C22semidirect
114. #19128010C22semidirect
115. #19128009C22semidirect
116. #19128008C22semidirect
117. #19128007C22semidirect
118. #19128006C22semidirect
119. #19128005C22semidirect
120. #19127982C22semidirect
121. #19127981C22semidirect
122. #19127980C22semidirect
123. #19127980C22semidirect
124. #19127979C22semidirect
125. #19127979C22semidirect
126. #19127978C22semidirect
127. #19127950C22semidirect
128. #19127949C22semidirect
129. #19127948C22semidirect
130. #19127947C22semidirect
131. #19127946C22semidirect
132. #19127945C22semidirect
133. #19127944C22semidirect
134. #19127933C22semidirect
135. #19127932C22semidirect
136. #19127931C22semidirect
137. #19127930C22semidirect
138. #19127929C22semidirect
139. #19127928C22semidirect
140. #19127927C22semidirect
141. #19127804C22semidirect
142. #19127803C22semidirect
143. #19127802C22semidirect
144. #19127801C22semidirect
145. #19127800C22semidirect
146. #19127799C22semidirect
147. #19127798C22semidirect
148. #19127775C22semidirect
149. #19127774C22semidirect
150. #19127773C22semidirect
151. #19127772C22semidirect
152. #19127771C22semidirect
153. #19127770C22semidirect
154. #19127769C22semidirect
155. #19127744C22semidirect
156. #19127743C22semidirect
157. #19127742C22semidirect
158. #19127742C22semidirect
159. #19127741C22semidirect
160. #19127740C22semidirect
161. #19127740C22semidirect
162. C2×#14581726C22semidirect
163. C2×#14581725C22semidirect
164. C2×#14581725C22semidirect
171. #107×D83C22semidirect
172. #107×D83C22semidirect
173. #107×D83C22semidirect
174. #107×D83C22semidirect
188. #554×C83C22semidirect
190. #501×C83C22semidirect
191. #485×C83C22semidirect
192. #484×C83C22semidirect
193. #481×C83C22semidirect
194. #480×C83C22semidirect
195. #479×C83C22semidirect
196. #474×C83C22semidirect
197. #468×C83C22semidirect
198. #465×C83C22semidirect
199. #440×C83C22semidirect
200. #435×C83C22semidirect
201. #428×C83C22semidirect
202. C2×#107×C83C22semidirect
859. D83#3346direct (N × H)
877. #3346D83direct (N × H)
891. C83C2×#3346semidirect
906. #554C2×D83semidirect
947. #501C2×D83semidirect
955. #485C2×D83semidirect
963. #484C2×D83semidirect
971. #481C2×D83semidirect
979. #480C2×D83semidirect
987. #479C2×D83semidirect
995. #474C2×D83semidirect
1003. #468C2×D83semidirect
1011. #465C2×D83semidirect
1019. #440C2×D83semidirect
1027. #435C2×D83semidirect
1035. #428C2×D83semidirect
1049. C2×#107C2×D83semidirect

Maximal subgroups

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

subgroupindex
#554×D832
#553×D832
#249199552
#249199542
#249199532
#249199522
#249199512
#249199502
#249199492
#249199482
#249199472
#249199462
#249199452
#249199442
#249199432
#249199422
#249199412
#501×D832
#484×D832
#481×D832
#485×D832
#480×D832
#479×D832
#474×D832
#468×D832
#465×D832
#440×D832
#435×D832
#428×D832
C2×#107×D832
C83×#33462
C2×#334683