Finite Group Databasebeta

← #3376×D83 #36284161

Subgroups — #3376×D83 #36284161

Order 21248.

1886 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#556×D83C211yesmaximal, characteristic, complemented
2#554×D83C211yesmaximal, characteristic, complemented
3#24920297C211yesmaximal, characteristic, complemented
4#24920296C211yesmaximal, characteristic, complemented
5#24920295C211yesmaximal, characteristic, complemented
6#24920294C211yesmaximal, characteristic, complemented
7#24920293C211yesmaximal, characteristic, complemented
8#24920292C211yesmaximal, characteristic, complemented
9#24920291C211yesmaximal, characteristic, complemented
10#24920290C211yesmaximal, characteristic, complemented
11#24920289C211yesmaximal, characteristic, complemented
12#24920288C211yesmaximal, characteristic, complemented
13#24920287C211yesmaximal, characteristic, complemented
14#24920286C211yesmaximal, characteristic, complemented
15#24920285C211yesmaximal, characteristic, complemented
16#24920284C211yesmaximal, characteristic, complemented
17#24920283C211yesmaximal, characteristic, complemented
18#491×D83C211yesmaximal, characteristic, complemented
19#489×D83C211yesmaximal, characteristic, complemented
20#488×D83C211yesmaximal, characteristic, complemented
21#479×D83C211yesmaximal, characteristic, complemented
22#475×D83C211yesmaximal, characteristic, complemented
23#478×D83C211yesmaximal, characteristic, complemented
24#463×D83C211yesmaximal, characteristic
25#463×D83C211yesmaximal, characteristic
26#461×D83C211yesmaximal, characteristic, complemented
27#446×D83C211yesmaximal, characteristic, complemented
28#442×D83C211yesmaximal, characteristic
29#440×D83C211yesmaximal, characteristic, complemented
30C4×SD16×D83C211yesmaximal, characteristic, complemented
31C83×#3376C211yesmaximal, characteristic, complemented
32C2×SD16×D83C2211yescharacteristic
33C2×SD16×D83C2211yescharacteristic
34C2×D8×D83C2211yescharacteristic
35#19128425C2211yescharacteristic, complemented
36#19128424C2211yescharacteristic, complemented
37#19128423C2211yescharacteristic, complemented
38#19128423C2211yescharacteristic, complemented
39#19128422—21no—
40#19128421C2211yescharacteristic, complemented
41#19128420C2211yescharacteristic, complemented
42#19128420C2211yescharacteristic, complemented
43#19128419—21no—
44#19128418—21no—
45#19128418—21no—
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
58C4⋊Q8×D83C2211yescharacteristic
59#126×D83—21no—
60#126×D83—21no—
61#125×D83C2211yescharacteristic
62#125×D83C2211yescharacteristic
63#124×D83C2211yescharacteristic
64#124×D83C2211yescharacteristic
65C22⋊Q8×D83—21no—
66C22⋊Q8×D83—21no—
67C22⋊Q8×D83—21no—
68C22⋊Q8×D83—21no—
69C4×Q8×D83C2211yescharacteristic
70C4×Q8×D83C2211yescharacteristic
71C4×Q8×D83C2211yescharacteristic
72C4×D4×D83C2211yescharacteristic
73C4×D4×D83C2211yescharacteristic
74C4×D4×D83C2211yescharacteristic
75C4×D4×D83C2211yescharacteristic
76#117×D83—21no—
77C2×C4⋊C4×D83—21no—
78#19128071C2211yescharacteristic, complemented
79#19128070C2211yescharacteristic, complemented
80#19128069C2211yescharacteristic, complemented
81#19128068C2211yescharacteristic, complemented
82#19128068C2211yescharacteristic, complemented
83#19128068C2211yescharacteristic, complemented
84#19128068C2211yescharacteristic, 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#19127987C2211yescharacteristic, complemented
114#19127986C2211yescharacteristic, complemented
115#19127985C2211yescharacteristic, complemented
116#19127985C2211yescharacteristic, complemented
117#19127984C2211yescharacteristic, complemented
118#19127984C2211yescharacteristic, complemented
119#19127983C2211yescharacteristic, complemented
120#19127919C2211yescharacteristic
121#19127919C2211yescharacteristic
122#19127918C2211yescharacteristic
123#19127918C2211yescharacteristic
124#19127917C2211yescharacteristic
125#19127917C2211yescharacteristic
126#19127916C2211yescharacteristic
127#19127916C2211yescharacteristic
128#19127915C2211yescharacteristic
129#19127915C2211yescharacteristic
130#19127914C2211yescharacteristic
131#19127914C2211yescharacteristic
132#19127913C2211yescharacteristic
133#19127913C2211yescharacteristic
134#19127907C2211yescharacteristic, complemented
135#19127906C2211yescharacteristic, complemented
136#19127905C2211yescharacteristic, complemented
137#19127905C2211yescharacteristic, complemented
138#19127904C2211yescharacteristic, complemented
139#19127904C2211yescharacteristic, complemented
140#19127903C2211yescharacteristic, complemented
141#19127832C2211yescharacteristic, complemented
142#19127831C2211yescharacteristic, complemented
143#19127830C2211yescharacteristic, complemented
144#19127830C2211yescharacteristic, complemented
145#19127829C2211yescharacteristic, complemented
146#19127829C2211yescharacteristic, complemented
147#19127828C2211yescharacteristic, complemented
148#19127814C2211yescharacteristic
149#19127813C2211yescharacteristic
150#19127812C2211yescharacteristic
151#19127811C2211yescharacteristic
152#19127811C2211yescharacteristic
153#19127810C2211yescharacteristic
154#19127810C2211yescharacteristic
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#103×D83C2211yescharacteristic
180#103×D83C2211yescharacteristic
181#102×D83C2211yescharacteristic
182#102×D83C2211yescharacteristic
183#102×D83C2211yescharacteristic
184#102×D83C2211yescharacteristic
185#97×D83C2211yescharacteristic
186#97×D83C2211yescharacteristic
187C4×C8×D83C2211yescharacteristic
188#556×C83C2211yescharacteristic, complemented
189#554×C83C2211yescharacteristic, complemented
190#491×C83C2211yescharacteristic, complemented
191#489×C83C2211yescharacteristic, complemented
192#488×C83C2211yescharacteristic, complemented
193#479×C83C2211yescharacteristic, complemented
194#478×C83C2211yescharacteristic, complemented
195#475×C83C2211yescharacteristic, complemented
196#463×C83C2211yescharacteristic
197#463×C83C2211yescharacteristic
198#461×C83C2211yescharacteristic, complemented
199#446×C83C2211yescharacteristic, complemented
200#442×C83C2211yescharacteristic
201#440×C83C2211yescharacteristic, complemented
202C4×SD16×C83C2211yescharacteristic, complemented
203C2×Q8×D83—21no—
204C2×Q8×D83D411yescharacteristic
205C2×Q8×D83C2311yescharacteristic
206C2×Q8×D83C2311yescharacteristic
207C2×D4×D83C2311yescharacteristic
208C2×D4×D83C2311yescharacteristic
209C22×C4×D83—21no—
210C22×C4×D83—21no—
211C22×C4×D83—21no—
212C22×C4×D83—21no—
213C2×#13050579C2311yescharacteristic
214C2×#13050579C2311yescharacteristic
215C2×#13050578C2311yescharacteristic
216C2×#13050578C2311yescharacteristic
217C2×#13050577C2311yescharacteristic
218C2×#13050577C2311yescharacteristic
219SD16×D83—24no—
220SD16×D83—24no—
221C2×D664C2311yescharacteristic
222C2×#13050575C2311yescharacteristic
223C2×#13050575C2311yescharacteristic
224D8×D83—24no—
225C2×C8×D83C2311yescharacteristic
226C2×C8×D83C2311yescharacteristic
227C2×C8×D83C2311yescharacteristic
228C2×C8×D83C2311yescharacteristic
229#14581792C2311yescharacteristic
230#14581792C2311yescharacteristic
231#14581791—21no—
232#14581791—21no—
233#14581791—21no—
234#14581791C2311yescharacteristic
235#14581791C2311yescharacteristic
236#14581790—21no—
237#14581790C2311yescharacteristic
238#14581790C2311yescharacteristic
239#14581787—21no—
240#14581787—21no—
241#14581787—21no—
242#14581787—21no—
243#14581787—21no—
244#14581787—21no—
245#14581786—21no—
246#14581786—21no—
247#14581785—21no—
248#14581785—21no—
249#14581785—21no—
250#14581785—21no—
251#14581785—21no—
252#14581785—21no—
253#14581784C2311yescharacteristic
254#14581784C2311yescharacteristic
255#14581783C2311yescharacteristic
256#14581783C2311yescharacteristic
257#14581783C2311yescharacteristic
258#14581783C2311yescharacteristic
259#14581782—21no—
260#14581782—21no—
261#14581782—21no—
262#14581782—21no—
263#14581781C2311yescharacteristic
264#14581781C2311yescharacteristic
265#14581780C2311yescharacteristic
266#14581780C2311yescharacteristic
267#14581779C2311yescharacteristic
268#14581779C2311yescharacteristic
269#14581778—21no—
270#14581778—21no—
271#14581778—21no—
272#14581778—21no—
273#14581772—21no—
274#14581772—21no—
275#14581772—21no—
276#14581772—21no—
277#14581771—21no—
278#14581771—21no—
279#14581771—21no—
280#14581771—21no—
281#14581770—21no—
282#14581770—21no—
283#14581770—21no—
284#14581770—21no—
285#14581770—21no—
286#14581770—21no—
287#14581770—21no—
288#14581770—21no—
289#14581769—21no—
290#14581769—21no—
291#14581769—21no—
292#14581769—21no—
293#14581769—21no—
294#14581769—21no—
295#14581769—21no—
296#14581769—21no—
297#14581768—21no—
298#14581768—21no—
299#14581768—21no—
300#14581768—21no—
301Q8×Dic83D411yescharacteristic
302Q8×Dic83C2311yescharacteristic
303Q8×Dic83C2311yescharacteristic
304C4×Dic166—21no—
305C4×Dic166—21no—
306C4×Dic166C2311yescharacteristic
307C4×Dic166C2311yescharacteristic
308C4×Dic166C2311yescharacteristic
309C4×Dic166C2311yescharacteristic
310C4×Dic166C2311yescharacteristic
311#14581757—21no—
312#14581757—21no—
313#14581757D411yescharacteristic
314#14581757D411yescharacteristic
315#14581757D411yescharacteristic
316#14581757C2311yescharacteristic
317#14581757C2311yescharacteristic
318C4×D332C2311yescharacteristic
319C4×D332C2311yescharacteristic
320C4×D332C2311yescharacteristic
321C4×D332C2311yescharacteristic
322D4×Dic83C2311yescharacteristic
323D4×Dic83C2311yescharacteristic
324D4×Dic83C2311yescharacteristic
325D4×Dic83C2311yescharacteristic
326#14581754C2311yescharacteristic
327#14581754C2311yescharacteristic
328#14581754C2311yescharacteristic
329#14581754C2311yescharacteristic
330C4×C22⋊D83—21no—
331C4×C22⋊D83—21no—
332C4×C22⋊D83—21no—
333C4×C22⋊D83—21no—
334(C22⋊D83)⋊C4—21no—
335(C22⋊D83)⋊C4—21no—
336(C22⋊D83)⋊C4—21no—
337(C22⋊D83)⋊C4—21no—
338#14581751—21no—
339#14581750—21no—
340#14581750—21no—
341#14581749—21no—
342#14581749—21no—
343#14581748—21no—
344#14581748—21no—
345C2×C4⋊Dic83—21no—
346C2×Dic83⋊C4—21no—
347C2×Dic83⋊C4—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×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—
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#14581717C2311yescharacteristic
404#14581717C2311yescharacteristic
405#14581716C2311yescharacteristic
406#14581716C2311yescharacteristic
407#14581716C2311yescharacteristic
408#14581716C2311yescharacteristic
409#14581716C2311yescharacteristic
410#14581716C2311yescharacteristic
411#14581715C2311yescharacteristic
412#14581715C2311yescharacteristic
413#14581715C2311yescharacteristic
414#14581715C2311yescharacteristic
415#14581715C2311yescharacteristic
416#14581715C2311yescharacteristic
417#14581714C2311yescharacteristic
418#14581714C2311yescharacteristic
419#14581714C2311yescharacteristic
420#14581714C2311yescharacteristic
421#14581713C2311yescharacteristic
422#14581713C2311yescharacteristic
423#14581713C2311yescharacteristic
424#14581713C2311yescharacteristic
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×SD16×C83C2311yescharacteristic
440C2×D8×C83C2311yescharacteristic
441C4⋊Q8×C83C2311yescharacteristic
442C4⋊Q8×C83C2311yescharacteristic
443#126×C83—21no—
444#126×C83—21no—
445#125×C83C2311yescharacteristic
446#125×C83C2311yescharacteristic
447#124×C83C2311yescharacteristic
448#124×C83C2311yescharacteristic
449C22⋊Q8×C83—21no—
450C22⋊Q8×C83—21no—
451C22⋊Q8×C83—21no—
452C22⋊Q8×C83—21no—
453C4×Q8×C83C2311yescharacteristic
454C4×Q8×C83C2311yescharacteristic
455C4×Q8×C83C2311yescharacteristic
456C4×D4×C83C2311yescharacteristic
457C4×D4×C83C2311yescharacteristic
458C4×D4×C83C2311yescharacteristic
459C4×D4×C83C2311yescharacteristic
460#117×C83—21no—
461C2×C4⋊C4×C83—21no—
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#103×C83C2311yescharacteristic
473#103×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—22no—
497Q8×D83—42no—
498Q8×D83—82no—
499C2×D332C2411yescharacteristic
500C2×D332C2411yescharacteristic
501C2×C22⋊D83—21no—
502C2×C22⋊D83—21no—
503D4×D83—22no—
504D4×D83—22no—
505D4×D83—22no—
506D4×D83#4114yes—
507C22×Dic83—21no—
508C22×Dic83—21no—
509C22×Dic83—21no—
510C22×Dic83—21no—
511C2×C4×D83—21no—
512C2×C4×D83—21no—
513C2×C4×D83—21no—
514C2×C4×D83—21no—
515C2×C4×D83—21no—
516C2×C4×D83—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—44no—
526C2×C4×D83—44no—
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
536#13050579—22no—
537#13050579—22no—
538#13050578—22no—
539#13050578—22no—
540#13050577—22no—
541#13050577—22no—
542D664—22no—
543#13050575—22no—
544#13050575—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—
603C22⋊Dic83—21no—
604C22⋊Dic83—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—
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—
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×C83C2411yescharacteristic
641C2×D4×C83C2411yescharacteristic
642C22×C4×C83—21no—
643C22×C4×C83—21no—
644C22×C4×C83—21no—
645C22×C4×C83—21no—
646SD16×C83—22no—
647SD16×C83—22no—
648D8×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—
675C22⋊C4×C83—21no—
676C22⋊C4×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—24no—
686C22×D83—21no—
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—21no—
697Q8×C83—41no—
698Q8×C83—81no—
699D4×C83—21no—
700D4×C83—21no—
701D4×C83—21no—
702D4×C83C2×#4112yes—
703C2×C4×C83—21no—
704C2×C4×C83—21no—
705C2×C4×C83—21no—
706C2×C4×C83—21no—
707C2×C4×C83—21no—
708C2×C4×C83—21no—
709C2×C4×C83—42no—
710C2×C4×C83—42no—
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—24no—
721C22⋊D83—42no—
722C2×Dic83—21no—
723C2×Dic83—21no—
724C2×Dic83—21no—
725C2×Dic83—21no—
726C2×Dic83—21no—
727C2×Dic83—21no—
728C2×Dic83—42no—
729C2×Dic83—42no—
730C2×Dic83—81no—
731C2×Dic83—81no—
732C2×Dic83C22×D411yescharacteristic
733C2×Dic83C22×D411yescharacteristic
734C2×Dic83C22×D411yescharacteristic
735C2×Dic83C22×D411yescharacteristic
736C2×Dic83C22×D411yescharacteristic
737C2×Dic83C22×D411yescharacteristic
738C2×Dic83C22×D411yescharacteristic
739D332—21no—
740D332—21no—
741D332—21no—
742D332C2×#4112yes—
743C4×D83—22no—
744C4×D83—22no—
745C4×D83—22no—
746C4×D83—22no—
747C4×D83—22no—
748C4×D83—22no—
749C4×D83—42no—
750C4×D83—42no—
751C4×D83—42no—
752C4×D83—42no—
753C4×D83—42no—
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—21no—
767Dic166—21no—
768Dic166—21no—
769Dic166—41no—
770Dic166—41no—
771Dic166—41no—
772Dic166—42no—
773Dic166—42no—
774Dic166—81no—
775Dic166—81no—
776Dic166—81no—
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—22no—
786C22×C83—41no—
787C22×C83—41no—
788C22×C83—41no—
789C22×C83—41no—
790C22×C83—41no—
791C22×C83C23×D411yescharacteristic
792C2×D83—22no—
793C2×D83—41no—
794C2×D83—41no—
795C2×D83—48no—
796C2×D83—41no—
797C2×D83—41no—
798C2×D83—41no—
799C2×D83—84no—
800C2×D83#54812yes—
801C2×D83#57512yes—
802C2×D83#57712yes—
803C4×C83—21no—
804C4×C83—21no—
805C4×C83—21no—
806C4×C83—21no—
807C4×C83—21no—
808C4×C83—21no—
809C4×C83—41no—
810C4×C83—41no—
811C4×C83—41no—
812C4×C83—41no—
813C4×C83—41no—
814C4×C83—41no—
815C4×C83C22×#4111yescharacteristic
816C4×C83C2×2−1+411yescharacteristic
817Dic83—21no—
818Dic83—21no—
819Dic83—21no—
820Dic83—21no—
821Dic83—21no—
822Dic83—21no—
823Dic83—41no—
824Dic83—41no—
825Dic83—41no—
826Dic83—41no—
827Dic83—41no—
828Dic83—41no—
829Dic83#54812yes—
830C2×#3376—831nomaximal, Sylow
831C2×C83—42no—
832C2×C83—81no—
833C2×C83C2×#54811yescharacteristic
834C2×C83C2×#57511yescharacteristic
835C2×C83C2×#57711yescharacteristic
836D83—42no—
837D83—81no—
838D83#337614yesdirect product factor
839C2×#556—831no—
840C2×#554—831no—
841#3376—831no—
842#3376—831no—
843#3376—831no—
844#3376—831no—
845#3376—831no—
846#3376—831no—
847#3376—831no—
848#3376—831no—
849#3376—831no—
850#3376—831no—
851#3376—831no—
852#3376—831no—
853#3376—831no—
854#3376—831no—
855#3376—831no—
856#3376D8311yescharacteristic, direct product factor
857C2×#491—831no—
858C2×#489—831no—
859C2×#488—831no—
860C2×#479—831no—
861C2×#475—831no—
862C2×#478—831no—
863C2×#463—831no—
864C2×#463—831no—
865C2×#461—831no—
866C2×#446—831no—
867C2×#442—831no—
868C2×#440—831no—
869C2×C4×SD16—831no—
870C83C2×#337611yescharacteristic, complemented, Sylow
871C22×SD16—831no—
872C22×SD16—831no—
873C22×D8—831no—
874#556—831no—
875#556—831no—
876#556—831no—
877#556—831no—
878#556—831no—
879#556—831no—
880#556—831no—
881#556—1661no—
882#556—1661no—
883#556—1661no—
884#556—1661no—
885#556C2×D8311yescharacteristic, complemented
886#554—831no—
887#554—831no—
888#554—831no—
889#554—831no—
890#554—831no—
891#554—831no—
892#554—831no—
893#554—1661no—
894#554—1661no—
895#554—1661no—
896#554—1661no—
897#554C2×D8311yescharacteristic, complemented
898C2×C4⋊Q8—831no—
899C2×C4⋊Q8—831no—
900C2×#126—1661no—
901C2×#126—1661no—
902C2×#125—831no—
903C2×#125—831no—
904C2×#124—831no—
905C2×#124—831no—
906C2×C22⋊Q8—1661no—
907C2×C22⋊Q8—1661no—
908C2×C22⋊Q8—1661no—
909C2×C22⋊Q8—1661no—
910C2×C4×Q8—831no—
911C2×C4×Q8—831no—
912C2×C4×Q8—831no—
913C2×C4×D4—831no—
914C2×C4×D4—831no—
915C2×C4×D4—831no—
916C2×C4×D4—831no—
917C2×#117—1661no—
918C22×C4⋊C4—1661no—
919#491—831no—
920#491—831no—
921#491—831no—
922#491—831no—
923#491—831no—
924#491—831no—
925#491—831no—
926#491C2×D8311yescharacteristic, complemented
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#475—831no—
960#475—831no—
961#475—831no—
962#475—831no—
963#475—831no—
964#475—831no—
965#475—831no—
966#475C2×D8311yescharacteristic, complemented
967#463—831no—
968#463—831no—
969#463—831no—
970#463—831no—
971#463—831no—
972#463—831no—
973#463—831no—
974#463—831no—
975#463—831no—
976#463—831no—
977#463—831no—
978#463—831no—
979#463—831no—
980#463—831no—
981#463C2×D8311yescharacteristic
982#463C2×D8311yescharacteristic
983#461—831no—
984#461—831no—
985#461—831no—
986#461—831no—
987#461—831no—
988#461—831no—
989#461—831no—
990#461C2×D8311yescharacteristic, complemented
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#442—831no—
1000#442—831no—
1001#442—831no—
1002#442—831no—
1003#442—831no—
1004#442—831no—
1005#442—831no—
1006#442C2×D8311yescharacteristic
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×#103—831no—
1034C2×#103—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—
1048C23×C4—1661no—
1049C23×C4—1661no—
1050C23×C4—1661no—
1051C23×C4—1661no—
1052C2×SD16—831no—
1053C2×SD16—831no—
1054C2×SD16—831no—
1055C2×SD16—831no—
1056C2×SD16—831no—
1057C2×SD16—831no—
1058C2×SD16—1664no—
1059C2×SD16—1664no—
1060C2×SD16C22×D8311yescharacteristic
1061C2×SD16C22×D8311yescharacteristic
1062C2×D8—831no—
1063C2×D8—831no—
1064C2×D8—831no—
1065C2×D8—1664no—
1066C2×D8C22×D8311yescharacteristic
1067C22×C8—831no—
1068C22×C8—831no—
1069C22×C8—831no—
1070C22×C8—831no—
1071C4⋊Q8—831no—
1072C4⋊Q8—831no—
1073C4⋊Q8—831no—
1074C4⋊Q8—831no—
1075C4⋊Q8—831no—
1076C4⋊Q8—831no—
1077C4⋊Q8—1661no—
1078C4⋊Q8—1661no—
1079C4⋊Q8—1661no—
1080C4⋊Q8—1661no—
1081C4⋊Q8C22×D8311yescharacteristic
1082C4⋊Q8C22×D8311yescharacteristic
1083#126—21no—
1084#126—21no—
1085#126—1661no—
1086#126—1661no—
1087#126—1661no—
1088#126—1661no—
1089#126—1661no—
1090#126—1661no—
1091#126—1661no—
1092#126—1661no—
1093#126—1661no—
1094#126—1661no—
1095#126—1661no—
1096#126—1661no—
1097#126—1661no—
1098#126—1661no—
1099#125—831no—
1100#125—831no—
1101#125—831no—
1102#125—831no—
1103#125—831no—
1104#125—831no—
1105#125—1661no—
1106#125—1661no—
1107#125—1661no—
1108#125—1661no—
1109#125C22×D8311yescharacteristic
1110#125C22×D8311yescharacteristic
1111#124—831no—
1112#124—831no—
1113#124—831no—
1114#124—831no—
1115#124—831no—
1116#124—831no—
1117#124—1661no—
1118#124—1661no—
1119#124—1661no—
1120#124—1661no—
1121#124C22×D8311yescharacteristic
1122#124C22×D8311yescharacteristic
1123C22⋊Q8—21no—
1124C22⋊Q8—21no—
1125C22⋊Q8—21no—
1126C22⋊Q8—21no—
1127C22⋊Q8—1661no—
1128C22⋊Q8—1661no—
1129C22⋊Q8—1661no—
1130C22⋊Q8—1661no—
1131C22⋊Q8—1661no—
1132C22⋊Q8—1661no—
1133C22⋊Q8—1661no—
1134C22⋊Q8—1661no—
1135C22⋊Q8—1661no—
1136C22⋊Q8—1661no—
1137C22⋊Q8—1661no—
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—
1155C4×Q8—831no—
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—1661no—
1169C4×Q8—1661no—
1170C4×Q8—1661no—
1171C4×Q8—1661no—
1172C4×Q8C22×D8311yescharacteristic
1173C4×Q8C22×D8311yescharacteristic
1174C4×Q8C22×D8311yescharacteristic
1175C4×D4—831no—
1176C4×D4—831no—
1177C4×D4—831no—
1178C4×D4—831no—
1179C4×D4—831no—
1180C4×D4—831no—
1181C4×D4—831no—
1182C4×D4—831no—
1183C4×D4—831no—
1184C4×D4—831no—
1185C4×D4—831no—
1186C4×D4—831no—
1187C4×D4—1661no—
1188C4×D4—1661no—
1189C4×D4—1661no—
1190C4×D4—1661no—
1191C4×D4—1661no—
1192C4×D4—1661no—
1193C4×D4—1661no—
1194C4×D4—1661no—
1195C4×D4C22×D8311yescharacteristic
1196C4×D4C22×D8311yescharacteristic
1197C4×D4C22×D8311yescharacteristic
1198C4×D4C22×D8311yescharacteristic
1199#117—21no—
1200#117—1661no—
1201#117—1661no—
1202#117—1661no—
1203#117—1661no—
1204#117—1661no—
1205#117—1661no—
1206#117—1661no—
1207C2×C4⋊C4—21no—
1208C2×C4⋊C4—831no—
1209C2×C4⋊C4—831no—
1210C2×C4⋊C4—831no—
1211C2×C4⋊C4—831no—
1212C2×C4⋊C4—831no—
1213C2×C4⋊C4—831no—
1214C2×C4⋊C4—831no—
1215C2×C4⋊C4—1661no—
1216C2×C4⋊C4—1661no—
1217C2×C4⋊C4—1661no—
1218C2×C4⋊C4—1661no—
1219C2×C4⋊C4—1661no—
1220C2×C4⋊C4—1661no—
1221C2×C4⋊C4—1661no—
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×C22⋊C4—1661no—
1238C2×C22⋊C4—1661no—
1239C2×C42—831no—
1240C2×C42—831no—
1241C2×C42—831no—
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#103—831no—
1281#103—831no—
1282#103—831no—
1283#103—831no—
1284#103—831no—
1285#103—831no—
1286#103C22×D8311yescharacteristic
1287#103C22×D8311yescharacteristic
1288#103C22×D8311yescharacteristic
1289#103C22×D8311yescharacteristic
1290#103C22×D8311yescharacteristic
1291#103C22×D8311yescharacteristic
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#102—831no—
1303#102—831no—
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—3322no—
1324C2×Q8—831no—
1325C2×Q8—831no—
1326C2×Q8—831no—
1327C2×Q8—831no—
1328C2×Q8—831no—
1329C2×Q8—6642no—
1330C2×Q8—1661no—
1331C2×Q8—1661no—
1332C2×Q8—1661no—
1333C2×Q8—1661no—
1334C2×Q8—1662no—
1335C2×Q8—1662no—
1336C2×Q8—1662no—
1337C2×Q8—1662no—
1338C2×Q8—1661no—
1339C2×Q8D4×D8311yescharacteristic
1340C2×Q8C23×D8311yescharacteristic
1341C2×Q8C23×D8311yescharacteristic
1342C2×D4—834no—
1343C2×D4—831no—
1344C2×D4—831no—
1345C2×D4—1662no—
1346C2×D4—1662no—
1347C2×D4—1662no—
1348C2×D4—1661no—
1349C2×D4—1661no—
1350C2×D4C23×D8311yescharacteristic
1351C2×D4C23×D8311yescharacteristic
1352C22×C4—21no—
1353C22×C4—21no—
1354C22×C4—21no—
1355C22×C4—21no—
1356C22×C4—3324no—
1357C22×C4—3324no—
1358C22×C4—831no—
1359C22×C4—831no—
1360C22×C4—831no—
1361C22×C4—831no—
1362C22×C4—831no—
1363C22×C4—831no—
1364C22×C4—831no—
1365C22×C4—6642no—
1366C22×C4—6642no—
1367C22×C4—1661no—
1368C22×C4—1661no—
1369C22×C4—1661no—
1370C22×C4—1661no—
1371C22×C4—1661no—
1372C22×C4—1661no—
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—
1385SD16—22no—
1386SD16—22no—
1387SD16—1662no—
1388SD16—1662no—
1389SD16—1662no—
1390SD16—1662no—
1391SD16—1662no—
1392SD16—1662no—
1393D8—22no—
1394D8—1662no—
1395D8—1662no—
1396D8—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—21no—
1476C22⋊C4—21no—
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—
1493C22⋊C4—1661no—
1494C22⋊C4—1661no—
1495C22⋊C4—1661no—
1496C22⋊C4—1661no—
1497C22⋊C4—1661no—
1498C22⋊C4—1661no—
1499C22⋊C4—1661no—
1500C22⋊C4—1661no—
1501C42—21no—
1502C42—21no—
1503C42—831no—
1504C42—831no—
1505C42—831no—
1506C42—831no—
1507C42—831no—
1508C42—831no—
1509C42—831no—
1510C42—831no—
1511C42—831no—
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—831no—
1529C23—1664no—
1530C23—1661no—
1531C23—1661no—
1532Q8—21no—
1533Q8—21no—
1534Q8—21no—
1535Q8—21no—
1536Q8—41no—
1537Q8—81no—
1538Q8—3321no—
1539Q8—3321no—
1540Q8—3321no—
1541Q8—3322no—
1542Q8—3322no—
1543Q8—6641no—
1544Q8—6641no—
1545Q8—6641no—
1546Q8—1661no—
1547Q8—1661no—
1548Q8—1661no—
1549Q8—1661no—
1550D4—21no—
1551D4—21no—
1552D4—21no—
1553D4—3322no—
1554D4—832no—
1555D4—1664no—
1556D4—1661no—
1557D4—1661no—
1558D4—1661no—
1559D4#41×D8312yes—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—21no—
1564C2×C4—21no—
1565C2×C4—21no—
1566C2×C4—42no—
1567C2×C4—42no—
1568C2×C4—81no—
1569C2×C4—81no—
1570C2×C4—3322no—
1571C2×C4—3322no—
1572C2×C4—3322no—
1573C2×C4—3322no—
1574C2×C4—3322no—
1575C2×C4—3322no—
1576C2×C4—3322no—
1577C2×C4—3322no—
1578C2×C4—3322no—
1579C2×C4—3322no—
1580C2×C4—3322no—
1581C2×C4—3322no—
1582C2×C4—831no—
1583C2×C4—832no—
1584C2×C4—832no—
1585C2×C4—831no—
1586C2×C4—831no—
1587C2×C4—831no—
1588C2×C4—831no—
1589C2×C4—831no—
1590C2×C4—831no—
1591C2×C4—6641no—
1592C2×C4—6641no—
1593C2×C4—6641no—
1594C2×C4—6641no—
1595C2×C4—6641no—
1596C2×C4—6641no—
1597C2×C4—1662no—
1598C2×C4—1662no—
1599C2×C4—1662no—
1600C2×C4—1662no—
1601C2×C4—1662no—
1602C2×C4—1662no—
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—22no—
1625C22—41no—
1626C22—41no—
1627C22—41no—
1628C22—41no—
1629C22—41no—
1630C22—3328no—
1631C22—3321no—
1632C22—3321no—
1633C22—3321no—
1634C22—3321no—
1635C22—3321no—
1636C22—832no—
1637C22—832no—
1638C22—832no—
1639C22—6644no—
1640C22—1662no—
1641C22C22×D4×D8311yescharacteristic
1642C4—21no—
1643C4—21no—
1644C4—21no—
1645C4—21no—
1646C4—21no—
1647C4—21no—
1648C4—41no—
1649C4—41no—
1650C4—41no—
1651C4—41no—
1652C4—41no—
1653C4—41no—
1654C4—3321no—
1655C4—3321no—
1656C4—3321no—
1657C4—3321no—
1658C4—3321no—
1659C4—3321no—
1660C4—832no—
1661C4—1661no—
1662C4—1661no—
1663C4—1661no—
1664C4—1661no—
1665C4—1661no—
1666C4—1661no—
1667C4C2×#41×D8311yescharacteristic
1668C42−1+4×D8311yescharacteristic
1669C2—42no—
1670C2—81no—
1671C2—3322no—
1672C2—834no—
1673C2—6641no—
1674C2#548×D8311yescharacteristic
1675C2#575×D8311yescharacteristic
1676C2#577×D8311yescharacteristic
subgroupG/H
centerC22C22×D4×D83
commutator, cosocleC2×C4×C83C25
FrattiniC2×C4C24×D83
FittingC83×#3376C2
socleC22×C83C23×D4
prime radicalC2×D8×D83C22
hypercenter#3376D83
hypocenterC83C2×#3376
LCSG ▷ C2×C4×C83 ▷ C2×C83 ▷ C83
UCSC1 ◁ C22 ◁ C4×Q8 ◁ #3376

Complements

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

NH ≅ G/Ntype
1. #556×D83C2semidirect
2. #554×D83C2semidirect
3. #24920297C2semidirect
4. #24920296C2semidirect
5. #24920295C2semidirect
6. #24920294C2semidirect
7. #24920293C2semidirect
8. #24920292C2semidirect
9. #24920291C2semidirect
10. #24920290C2semidirect
11. #24920289C2semidirect
12. #24920288C2semidirect
13. #24920287C2semidirect
14. #24920286C2semidirect
15. #24920285C2semidirect
16. #24920284C2semidirect
17. #24920283C2semidirect
18. #491×D83C2semidirect
19. #489×D83C2semidirect
20. #488×D83C2semidirect
21. #479×D83C2semidirect
22. #475×D83C2semidirect
23. #478×D83C2semidirect
26. #461×D83C2semidirect
27. #446×D83C2semidirect
29. #440×D83C2semidirect
30. C4×SD16×D83C2semidirect
31. C83×#3376C2semidirect
35. #19128425C22semidirect
36. #19128424C22semidirect
37. #19128423C22semidirect
38. #19128423C22semidirect
40. #19128421C22semidirect
41. #19128420C22semidirect
42. #19128420C22semidirect
46. #19128412C22semidirect
47. #19128411C22semidirect
48. #19128410C22semidirect
49. #19128410C22semidirect
51. #19128408C22semidirect
52. #19128407C22semidirect
53. #19128407C22semidirect
78. #19128071C22semidirect
79. #19128070C22semidirect
80. #19128069C22semidirect
81. #19128068C22semidirect
82. #19128068C22semidirect
83. #19128068C22semidirect
84. #19128068C22semidirect
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. #19127987C22semidirect
114. #19127986C22semidirect
115. #19127985C22semidirect
116. #19127985C22semidirect
117. #19127984C22semidirect
118. #19127984C22semidirect
119. #19127983C22semidirect
134. #19127907C22semidirect
135. #19127906C22semidirect
136. #19127905C22semidirect
137. #19127905C22semidirect
138. #19127904C22semidirect
139. #19127904C22semidirect
140. #19127903C22semidirect
141. #19127832C22semidirect
142. #19127831C22semidirect
143. #19127830C22semidirect
144. #19127830C22semidirect
145. #19127829C22semidirect
146. #19127829C22semidirect
147. #19127828C22semidirect
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
188. #556×C83C22semidirect
189. #554×C83C22semidirect
190. #491×C83C22semidirect
191. #489×C83C22semidirect
192. #488×C83C22semidirect
193. #479×C83C22semidirect
194. #478×C83C22semidirect
195. #475×C83C22semidirect
198. #461×C83C22semidirect
199. #446×C83C22semidirect
201. #440×C83C22semidirect
202. C4×SD16×C83C22semidirect
838. D83#3376direct (N × H)
856. #3376D83direct (N × H)
870. C83C2×#3376semidirect
885. #556C2×D83semidirect
897. #554C2×D83semidirect
926. #491C2×D83semidirect
934. #489C2×D83semidirect
942. #488C2×D83semidirect
950. #479C2×D83semidirect
958. #478C2×D83semidirect
966. #475C2×D83semidirect
990. #461C2×D83semidirect
998. #446C2×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
#556×D832
#554×D832
#249202972
#249202962
#249202952
#249202942
#249202932
#249202922
#249202912
#249202902
#249202892
#249202882
#249202872
#249202862
#249202852
#249202842
#249202832
#491×D832
#489×D832
#488×D832
#479×D832
#475×D832
#478×D832
#463×D832
#461×D832
#446×D832
#442×D832
#440×D832
C4×SD16×D832
C83×#33762
C2×#337683