Finite Group Databasebeta

← #3242×D83 #36276601

Subgroups — #3242×D83 #36276601

Order 21248.

1678 conjugacy classes of subgroups.

The subgroup lattice has 1588 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#544×D83C211yesmaximal, characteristic
2#541×D83C211yesmaximal, characteristic
3#24918738C211yesmaximal, characteristic, complemented
4#24918737C211yesmaximal, characteristic, complemented
5#24918736C211yesmaximal, characteristic, complemented
6#24918735C211yesmaximal, characteristic, complemented
7#24918734C211yesmaximal, characteristic, complemented
8#24918733C211yesmaximal, characteristic, complemented
9#24918732C211yesmaximal, characteristic, complemented
10#24918731C211yesmaximal, characteristic, complemented
11#24918730C211yesmaximal, characteristic, complemented
12#24918729C211yesmaximal, characteristic, complemented
13#24918728C211yesmaximal, characteristic, complemented
14#24918727C211yesmaximal, characteristic, complemented
15#24918726C211yesmaximal, characteristic, complemented
16#24918725C211yesmaximal, characteristic, complemented
17#24918724C211yesmaximal, characteristic, complemented
18#501×D83C211yesmaximal, characteristic, complemented
19#499×D83C211yesmaximal, characteristic, complemented
20#491×D83C211yesmaximal, characteristic, complemented
21#487×D83C211yesmaximal, characteristic, complemented
22#484×D83C211yesmaximal, characteristic
23#485×D83C211yesmaximal, characteristic
24#485×D83C211yesmaximal, characteristic
25#483×D83C211yesmaximal, characteristic
26#479×D83C211yesmaximal, characteristic, complemented
27#479×D83C211yesmaximal, characteristic, complemented
28#477×D83C211yesmaximal, characteristic, complemented
29#475×D83C211yesmaximal, characteristic, complemented
30#433×D83C211yesmaximal, characteristic
31C83×#3242C211yesmaximal, characteristic, complemented
32#19128332C2211yescharacteristic
33#19128331—21no—
34#19128331C2211yescharacteristic
35#19128331C2211yescharacteristic
36#19128330—21no—
37#19128330—21no—
38#19128329C2211yescharacteristic
39#19128329C2211yescharacteristic
40#19128328—21no—
41#19128328C2211yescharacteristic
42#19128328C2211yescharacteristic
43#19128314C2211yescharacteristic
44#19128313C2211yescharacteristic
45#19128312C2211yescharacteristic
46#19128311C2211yescharacteristic
47#19128311C2211yescharacteristic
48#19128310—21no—
49#19128310—21no—
50#19128309C2211yescharacteristic
51#19128309C2211yescharacteristic
52#19128308—21no—
53#19128308—21no—
54C4⋊Q8×D83—21no—
55C4⋊Q8×D83C2211yescharacteristic
56C4⋊Q8×D83C2211yescharacteristic
57C4⋊Q8×D83C2211yescharacteristic
58#126×D83—21no—
59#126×D83—21no—
60#125×D83—21no—
61#125×D83—21no—
62#125×D83—21no—
63#125×D83C2211yescharacteristic
64#125×D83C2211yescharacteristic
65#125×D83C2211yescharacteristic
66C22⋊Q8×D83—21no—
67C22⋊Q8×D83—21no—
68C22⋊Q8×D83C2211yescharacteristic
69C22⋊Q8×D83C2211yescharacteristic
70C4×Q8×D83C2211yescharacteristic
71C4×Q8×D83C2211yescharacteristic
72#117×D83C2211yescharacteristic
73#117×D83C2211yescharacteristic
74C2×C4⋊C4×D83C2211yescharacteristic
75#19128111C2211yescharacteristic, complemented
76#19128110C2211yescharacteristic, complemented
77#19128109C2211yescharacteristic, complemented
78#19128109C2211yescharacteristic, complemented
79#19128108C2211yescharacteristic, complemented
80#19128108C2211yescharacteristic, complemented
81#19128107C2211yescharacteristic, complemented
82#19128103C2211yescharacteristic, complemented
83#19128102C2211yescharacteristic, complemented
84#19128102C2211yescharacteristic, complemented
85#19128101C2211yescharacteristic, complemented
86#19128101C2211yescharacteristic, complemented
87#19128100C2211yescharacteristic, complemented
88#19128100C2211yescharacteristic, complemented
89#19128071C2211yescharacteristic, complemented
90#19128070C2211yescharacteristic, complemented
91#19128069C2211yescharacteristic, complemented
92#19128068C2211yescharacteristic, complemented
93#19128068C2211yescharacteristic, complemented
94#19128068C2211yescharacteristic, complemented
95#19128068C2211yescharacteristic, complemented
96#19128053C2211yescharacteristic, complemented
97#19128052C2211yescharacteristic, complemented
98#19128051C2211yescharacteristic, complemented
99#19128050C2211yescharacteristic, complemented
100#19128050C2211yescharacteristic, complemented
101#19128050C2211yescharacteristic, complemented
102#19128050C2211yescharacteristic, complemented
103#19128045C2211yescharacteristic
104#19128045C2211yescharacteristic
105#19128044C2211yescharacteristic
106#19128044C2211yescharacteristic
107#19128043C2211yescharacteristic
108#19128043C2211yescharacteristic
109#19128042C2211yescharacteristic
110#19128042C2211yescharacteristic
111#19128041C2211yescharacteristic
112#19128041C2211yescharacteristic
113#19128040C2211yescharacteristic
114#19128040C2211yescharacteristic
115#19128039C2211yescharacteristic
116#19128039C2211yescharacteristic
117#19128038C2211yescharacteristic
118#19128038C2211yescharacteristic
119#19128037C2211yescharacteristic
120#19128036C2211yescharacteristic
121#19128035C2211yescharacteristic
122#19128035C2211yescharacteristic
123#19128034C2211yescharacteristic
124#19128033C2211yescharacteristic
125#19128033C2211yescharacteristic
126#19128032C2211yescharacteristic
127#19128031C2211yescharacteristic
128#19128030C2211yescharacteristic
129#19128030C2211yescharacteristic
130#19128029C2211yescharacteristic
131#19128011C2211yescharacteristic, complemented
132#19128011C2211yescharacteristic, complemented
133#19128010C2211yescharacteristic, complemented
134#19128010C2211yescharacteristic, complemented
135#19128009C2211yescharacteristic, complemented
136#19128009C2211yescharacteristic, complemented
137#19128008C2211yescharacteristic, complemented
138#19128008C2211yescharacteristic, complemented
139#19128007C2211yescharacteristic, complemented
140#19128007C2211yescharacteristic, complemented
141#19128006C2211yescharacteristic, complemented
142#19128006C2211yescharacteristic, complemented
143#19128005C2211yescharacteristic, complemented
144#19128005C2211yescharacteristic, complemented
145#19127997C2211yescharacteristic, complemented
146#19127996C2211yescharacteristic, complemented
147#19127995C2211yescharacteristic, complemented
148#19127995C2211yescharacteristic, complemented
149#19127994C2211yescharacteristic, complemented
150#19127994C2211yescharacteristic, complemented
151#19127993C2211yescharacteristic, complemented
152#19127987C2211yescharacteristic, complemented
153#19127986C2211yescharacteristic, complemented
154#19127985C2211yescharacteristic, complemented
155#19127985C2211yescharacteristic, complemented
156#19127984C2211yescharacteristic, complemented
157#19127984C2211yescharacteristic, complemented
158#19127983C2211yescharacteristic, complemented
159#19127763C2211yescharacteristic
160#19127762C2211yescharacteristic
161#19127761C2211yescharacteristic
162#19127761C2211yescharacteristic
163#19127760C2211yescharacteristic
164#19127759C2211yescharacteristic
165#19127759C2211yescharacteristic
166#107×D83C2211yescharacteristic
167#107×D83C2211yescharacteristic
168#107×D83C2211yescharacteristic
169#107×D83C2211yescharacteristic
170#106×D83C2211yescharacteristic
171#106×D83C2211yescharacteristic
172#106×D83C2211yescharacteristic
173#106×D83C2211yescharacteristic
174C4⋊C8×D83C2211yescharacteristic
175C4⋊C8×D83C2211yescharacteristic
176#103×D83C2211yescharacteristic
177#103×D83C2211yescharacteristic
178#103×D83C2211yescharacteristic
179#103×D83C2211yescharacteristic
180#103×D83C2211yescharacteristic
181#103×D83C2211yescharacteristic
182#103×D83C2211yescharacteristic
183#103×D83C2211yescharacteristic
184C22⋊C8×D83C2211yescharacteristic
185C22⋊C8×D83C2211yescharacteristic
186#97×D83C2211yescharacteristic
187C4×C8×D83C2211yescharacteristic
188#544×C83C2211yescharacteristic
189#541×C83C2211yescharacteristic
190#501×C83C2211yescharacteristic, complemented
191#499×C83C2211yescharacteristic, complemented
192#491×C83C2211yescharacteristic, complemented
193#487×C83C2211yescharacteristic, complemented
194#485×C83C2211yescharacteristic
195#485×C83C2211yescharacteristic
196#484×C83C2211yescharacteristic
197#483×C83C2211yescharacteristic
198#479×C83C2211yescharacteristic, complemented
199#479×C83C2211yescharacteristic, complemented
200#477×C83C2211yescharacteristic, complemented
201#475×C83C2211yescharacteristic, complemented
202#433×C83C2211yescharacteristic
203C2×Q8×D83—21no—
204C2×Q8×D83—21no—
205C2×Q8×D83C2311yescharacteristic
206C2×Q8×D83C2311yescharacteristic
207C22×C4×D83—21no—
208C22×C4×D83C2311yescharacteristic
209C2×C8×D83C2311yescharacteristic
210C2×C8×D83C2311yescharacteristic
211C2×C8×D83C2311yescharacteristic
212C2×C8×D83C2311yescharacteristic
213#14581792—21no—
214#14581792C2311yescharacteristic
215#14581792C2311yescharacteristic
216#14581792C2311yescharacteristic
217#14581791—21no—
218#14581791—21no—
219#14581791—21no—
220#14581791—21no—
221#14581791—21no—
222#14581791—21no—
223#14581791—21no—
224#14581791—21no—
225#14581791C2311yescharacteristic
226#14581791C2311yescharacteristic
227#14581791C2311yescharacteristic
228#14581791C2311yescharacteristic
229#14581790—21no—
230#14581790—21no—
231#14581790—21no—
232#14581790—21no—
233#14581790C2311yescharacteristic
234#14581790C2311yescharacteristic
235#14581787—21no—
236#14581787—21no—
237#14581787—21no—
238#14581787—21no—
239#14581787—21no—
240#14581787—21no—
241#14581786—21no—
242#14581786—21no—
243#14581785—21no—
244#14581785—21no—
245#14581785—21no—
246#14581785—21no—
247#14581785—21no—
248#14581785—21no—
249#14581784—21no—
250#14581784—21no—
251#14581784—21no—
252#14581784C2311yescharacteristic
253#14581784C2311yescharacteristic
254#14581784C2311yescharacteristic
255#14581783—21no—
256#14581783—21no—
257#14581783—21no—
258#14581783—21no—
259#14581783—21no—
260#14581783—21no—
261#14581783C2311yescharacteristic
262#14581783C2311yescharacteristic
263#14581783C2311yescharacteristic
264#14581783C2311yescharacteristic
265#14581783C2311yescharacteristic
266#14581783C2311yescharacteristic
267#14581782—21no—
268#14581782—21no—
269#14581782—21no—
270#14581782—21no—
271#14581782—21no—
272#14581782—21no—
273#14581782—21no—
274#14581782—21no—
275#14581782—21no—
276#14581782—21no—
277#14581782—21no—
278#14581782—21no—
279#14581782—21no—
280#14581782—21no—
281#14581782—21no—
282#14581782—21no—
283#14581782—21no—
284#14581782—21no—
285#14581772—21no—
286#14581772—21no—
287#14581772C2311yescharacteristic
288#14581772C2311yescharacteristic
289#14581771—21no—
290#14581771—21no—
291#14581771C2311yescharacteristic
292#14581771C2311yescharacteristic
293#14581770—21no—
294#14581770—21no—
295#14581770—21no—
296#14581770—21no—
297#14581770—21no—
298#14581770—21no—
299#14581769—21no—
300#14581769—21no—
301#14581769—21no—
302#14581769—21no—
303#14581769—21no—
304#14581769—21no—
305#14581768—21no—
306#14581768—21no—
307#14581768C2311yescharacteristic
308#14581768C2311yescharacteristic
309Q8×Dic83C2311yescharacteristic
310Q8×Dic83C2311yescharacteristic
311C4×Dic166—21no—
312C4×Dic166—21no—
313C4×Dic166C2311yescharacteristic
314C4×Dic166C2311yescharacteristic
315#14581757—21no—
316#14581757—21no—
317#14581757C2311yescharacteristic
318#14581757C2311yescharacteristic
319#14581751C2311yescharacteristic
320#14581751C2311yescharacteristic
321#14581750D411yescharacteristic
322#14581750D411yescharacteristic
323#14581750C2311yescharacteristic
324#14581750C2311yescharacteristic
325#14581749—21no—
326#14581749C2311yescharacteristic
327#14581749C2311yescharacteristic
328#14581748—21no—
329#14581748D411yescharacteristic
330#14581748D411yescharacteristic
331C2×C4⋊Dic83C2311yescharacteristic
332C2×Dic83⋊C4—21no—
333C4⋊C4×D83—21no—
334C4⋊C4×D83—21no—
335C4⋊C4×D83—21no—
336C4⋊C4×D83—21no—
337C4⋊C4×D83—21no—
338C4⋊C4×D83—21no—
339C4⋊C4×D83—21no—
340C4⋊C4×D83—21no—
341C4⋊C4×D83—21no—
342C4⋊C4×D83—21no—
343C4⋊C4×D83—21no—
344C4⋊C4×D83—21no—
345C4⋊C4×D83—21no—
346C4⋊C4×D83—21no—
347C4⋊C4×D83—21no—
348C4⋊C4×D83—21no—
349C4⋊C4×D83D411yescharacteristic
350C4⋊C4×D83D411yescharacteristic
351C4⋊C4×D83C2311yescharacteristic
352C4⋊C4×D83C2311yescharacteristic
353C4⋊C4×D83C2311yescharacteristic
354C4⋊C4×D83C2311yescharacteristic
355C4⋊C4×D83C2311yescharacteristic
356C4⋊C4×D83C2311yescharacteristic
357C4⋊C4×D83C2311yescharacteristic
358C4⋊C4×D83C2311yescharacteristic
359C22⋊C4×D83—21no—
360C22⋊C4×D83—21no—
361C22⋊C4×D83—21no—
362C22⋊C4×D83D411yescharacteristic
363C22⋊C4×D83D411yescharacteristic
364C42×D83—21no—
365C42×D83—21no—
366C42×D83—21no—
367C42×D83C2311yescharacteristic
368C42×D83C2311yescharacteristic
369#14581726C2311yescharacteristic
370#14581726C2311yescharacteristic
371#14581726C2311yescharacteristic
372#14581726C2311yescharacteristic
373#14581725C2311yescharacteristic
374#14581725C2311yescharacteristic
375#14581725C2311yescharacteristic
376#14581725C2311yescharacteristic
377#14581725C2311yescharacteristic
378#14581725C2311yescharacteristic
379#14581725C2311yescharacteristic
380#14581725C2311yescharacteristic
381#14581724C2311yescharacteristic
382#14581724C2311yescharacteristic
383#14581724C2311yescharacteristic
384#14581724C2311yescharacteristic
385#14581723C2311yescharacteristic
386#14581723C2311yescharacteristic
387#14581723C2311yescharacteristic
388#14581723C2311yescharacteristic
389#14581723C2311yescharacteristic
390#14581723C2311yescharacteristic
391#14581723C2311yescharacteristic
392#14581723C2311yescharacteristic
393C4⋊(C83⋊C8)C2311yescharacteristic
394C4⋊(C83⋊C8)C2311yescharacteristic
395Dic83⋊C8C2311yescharacteristic
396Dic83⋊C8C2311yescharacteristic
397Dic83⋊C8C2311yescharacteristic
398Dic83⋊C8C2311yescharacteristic
399#14581717C2311yescharacteristic
400#14581717C2311yescharacteristic
401#14581717C2311yescharacteristic
402#14581717C2311yescharacteristic
403#14581717C2311yescharacteristic
404#14581717C2311yescharacteristic
405#14581717C2311yescharacteristic
406#14581717C2311yescharacteristic
407#14581716C2311yescharacteristic
408#14581716C2311yescharacteristic
409#14581716C2311yescharacteristic
410#14581716C2311yescharacteristic
411#14581716C2311yescharacteristic
412#14581716C2311yescharacteristic
413#14581716C2311yescharacteristic
414#14581716C2311yescharacteristic
415#14581715C2311yescharacteristic
416#14581715C2311yescharacteristic
417#14581715C2311yescharacteristic
418#14581715C2311yescharacteristic
419#14581715C2311yescharacteristic
420#14581715C2311yescharacteristic
421#14581715C2311yescharacteristic
422#14581715C2311yescharacteristic
423C22⋊(C83⋊C8)C2311yescharacteristic
424C22⋊(C83⋊C8)C2311yescharacteristic
425(C2×D83)⋊C8C2311yescharacteristic
426(C2×D83)⋊C8C2311yescharacteristic
427(C2×D83)⋊C8C2311yescharacteristic
428(C2×D83)⋊C8C2311yescharacteristic
429#14581703C2311yescharacteristic
430#14581702C2311yescharacteristic
431#14581702C2311yescharacteristic
432C4×C83⋊C8C2311yescharacteristic
433C8×Dic83C2311yescharacteristic
434C8×Dic83C2311yescharacteristic
435C4⋊Q8×C83—21no—
436C4⋊Q8×C83C2311yescharacteristic
437C4⋊Q8×C83C2311yescharacteristic
438C4⋊Q8×C83C2311yescharacteristic
439#126×C83—21no—
440#126×C83—21no—
441#125×C83—21no—
442#125×C83—21no—
443#125×C83—21no—
444#125×C83C2311yescharacteristic
445#125×C83C2311yescharacteristic
446#125×C83C2311yescharacteristic
447C22⋊Q8×C83—21no—
448C22⋊Q8×C83—21no—
449C22⋊Q8×C83C2311yescharacteristic
450C22⋊Q8×C83C2311yescharacteristic
451C4×Q8×C83C2311yescharacteristic
452C4×Q8×C83C2311yescharacteristic
453#117×C83C2311yescharacteristic
454#117×C83C2311yescharacteristic
455C2×C4⋊C4×C83C2311yescharacteristic
456#107×C83C2311yescharacteristic
457#107×C83C2311yescharacteristic
458#107×C83C2311yescharacteristic
459#107×C83C2311yescharacteristic
460#106×C83C2311yescharacteristic
461#106×C83C2311yescharacteristic
462#106×C83C2311yescharacteristic
463#106×C83C2311yescharacteristic
464C4⋊C8×C83C2311yescharacteristic
465C4⋊C8×C83C2311yescharacteristic
466#103×C83C2311yescharacteristic
467#103×C83C2311yescharacteristic
468#103×C83C2311yescharacteristic
469#103×C83C2311yescharacteristic
470#103×C83C2311yescharacteristic
471#103×C83C2311yescharacteristic
472#103×C83C2311yescharacteristic
473#103×C83C2311yescharacteristic
474C22⋊C8×C83C2311yescharacteristic
475C22⋊C8×C83C2311yescharacteristic
476#97×C83C2311yescharacteristic
477C4×C8×C83C2311yescharacteristic
478C23×D83C2×D411yescharacteristic
479C2×Dic166—21no—
480C2×Dic166—21no—
481C2×Dic166—21no—
482C2×Dic166—21no—
483C2×Dic166—21no—
484C2×Dic166—21no—
485C2×Dic166—21no—
486C2×Dic166—21no—
487C2×Dic166C2411yescharacteristic
488C2×Dic166C2411yescharacteristic
489Q8×D83—22no—
490Q8×D83—22no—
491Q8×D83—22no—
492Q8×D83—22no—
493Q8×D83—82no—
494Q8×D83—82no—
495C22×Dic83—21no—
496C22×Dic83C2×D411yescharacteristic
497C2×C4×D83—22no—
498C2×C4×D83—22no—
499C2×C4×D83—21no—
500C2×C4×D83—21no—
501C2×C4×D83—21no—
502C2×C4×D83—21no—
503C2×C4×D83—21no—
504C2×C4×D83—21no—
505C2×C4×D83—21no—
506C2×C4×D83—21no—
507C2×C4×D83—21no—
508C2×C4×D83—21no—
509C2×C4×D83—82no—
510C2×C4×D83C2×D411yescharacteristic
511C2×C4×D83C2×D411yescharacteristic
512C2×C4×D83C2×D411yescharacteristic
513C2×C4×D83C2×D411yescharacteristic
514C2×C4×D83C2×D411yescharacteristic
515C2×C4×D83C2×D411yescharacteristic
516C2×C4×D83C2411yescharacteristic
517C2×C4×D83C2411yescharacteristic
518C2×C83⋊C8C2411yescharacteristic
519C2×C83⋊C8C2411yescharacteristic
520C2×C83⋊C8C2411yescharacteristic
521C2×C83⋊C8C2411yescharacteristic
522C8×D83—22no—
523C8×D83—22no—
524C8×D83—22no—
525C8×D83—22no—
526C4⋊Dic83—21no—
527C4⋊Dic83—21no—
528C4⋊Dic83—21no—
529C4⋊Dic83—21no—
530C4⋊Dic83—21no—
531C4⋊Dic83—21no—
532C4⋊Dic83—21no—
533C4⋊Dic83—21no—
534C4⋊Dic83—21no—
535C4⋊Dic83—21no—
536C4⋊Dic83—21no—
537C4⋊Dic83—21no—
538C4⋊Dic83—21no—
539C4⋊Dic83—21no—
540C4⋊Dic83—21no—
541C4⋊Dic83C2×D411yescharacteristic
542C4⋊Dic83C2×D411yescharacteristic
543C4⋊Dic83C2411yescharacteristic
544C4⋊Dic83C2411yescharacteristic
545C4⋊Dic83C2411yescharacteristic
546C4⋊Dic83C2411yescharacteristic
547C4⋊Dic83C2411yescharacteristic
548C4⋊Dic83C2411yescharacteristic
549Dic83⋊C4—21no—
550Dic83⋊C4—21no—
551Dic83⋊C4—21no—
552Dic83⋊C4—21no—
553Dic83⋊C4—21no—
554Dic83⋊C4—21no—
555Dic83⋊C4—21no—
556Dic83⋊C4—21no—
557Dic83⋊C4—21no—
558Dic83⋊C4—21no—
559Dic83⋊C4—21no—
560Dic83⋊C4—21no—
561Dic83⋊C4—21no—
562Dic83⋊C4—21no—
563Dic83⋊C4—21no—
564Dic83⋊C4—21no—
565Dic83⋊C4—21no—
566Dic83⋊C4—21no—
567Dic83⋊C4—21no—
568Dic83⋊C4—21no—
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⋊C4C2×D411yescharacteristic
586Dic83⋊C4C2×D411yescharacteristic
587Dic83⋊C4C2×D411yescharacteristic
588Dic83⋊C4C2×D411yescharacteristic
589C22⋊Dic83—21no—
590C22⋊Dic83—21no—
591C22⋊Dic83—21no—
592C22⋊Dic83C2×D411yescharacteristic
593C22⋊Dic83C2×D411yescharacteristic
594(C2×D83)⋊C4—21no—
595(C2×D83)⋊C4—21no—
596(C2×D83)⋊C4—21no—
597(C2×D83)⋊C4—21no—
598(C2×D83)⋊C4—21no—
599(C2×D83)⋊C4—21no—
600(C2×D83)⋊C4C2×D411yescharacteristic
601(C2×D83)⋊C4C2×D411yescharacteristic
602(C2×D83)⋊C4C2×D411yescharacteristic
603(C2×D83)⋊C4C2×D411yescharacteristic
604C4×Dic83—21no—
605C4×Dic83—21no—
606C4×Dic83—21no—
607C4×Dic83—21no—
608C4×Dic83—21no—
609C4×Dic83—21no—
610C4×Dic83—21no—
611C4×Dic83—21no—
612C4×Dic83—21no—
613C4×Dic83C2×D411yescharacteristic
614C4×Dic83C2×D411yescharacteristic
615C4×Dic83C2×D411yescharacteristic
616C4×Dic83C2×D411yescharacteristic
617C4×Dic83C2411yescharacteristic
618C4×Dic83C2411yescharacteristic
619C2×Q8×C83—21no—
620C2×Q8×C83—21no—
621C2×Q8×C83C2411yescharacteristic
622C2×Q8×C83C2411yescharacteristic
623C22×C4×C83—21no—
624C22×C4×C83C2411yescharacteristic
625C2×C8×C83C2411yescharacteristic
626C2×C8×C83C2411yescharacteristic
627C2×C8×C83C2411yescharacteristic
628C2×C8×C83C2411yescharacteristic
629C4⋊C4×C83—21no—
630C4⋊C4×C83—21no—
631C4⋊C4×C83—21no—
632C4⋊C4×C83—21no—
633C4⋊C4×C83—21no—
634C4⋊C4×C83—21no—
635C4⋊C4×C83—21no—
636C4⋊C4×C83—21no—
637C4⋊C4×C83—21no—
638C4⋊C4×C83—21no—
639C4⋊C4×C83—21no—
640C4⋊C4×C83—21no—
641C4⋊C4×C83—21no—
642C4⋊C4×C83—21no—
643C4⋊C4×C83—21no—
644C4⋊C4×C83C2×D411yescharacteristic
645C4⋊C4×C83C2×D411yescharacteristic
646C4⋊C4×C83C2411yescharacteristic
647C4⋊C4×C83C2411yescharacteristic
648C4⋊C4×C83C2411yescharacteristic
649C4⋊C4×C83C2411yescharacteristic
650C4⋊C4×C83C2411yescharacteristic
651C4⋊C4×C83C2411yescharacteristic
652C22⋊C4×C83—21no—
653C22⋊C4×C83—21no—
654C22⋊C4×C83—21no—
655C22⋊C4×C83C2×D411yescharacteristic
656C22⋊C4×C83C2×D411yescharacteristic
657C42×C83—21no—
658C42×C83—21no—
659C42×C83—21no—
660C42×C83C2411yescharacteristic
661C42×C83C2411yescharacteristic
662C23×C83C22×D411yescharacteristic
663C22×D83—22no—
664C22×D83—22no—
665C22×D83—22no—
666C22×D83C22×D411yescharacteristic
667C22×D83C22×D411yescharacteristic
668Q8×C83—21no—
669Q8×C83—21no—
670Q8×C83—21no—
671Q8×C83—21no—
672Q8×C83—81no—
673Q8×C83—81no—
674C2×C4×C83—21no—
675C2×C4×C83—21no—
676C2×C4×C83—21no—
677C2×C4×C83—21no—
678C2×C4×C83—21no—
679C2×C4×C83—21no—
680C2×C4×C83—21no—
681C2×C4×C83—21no—
682C2×C4×C83—21no—
683C2×C4×C83—21no—
684C2×C4×C83—81no—
685C2×C4×C83C22×D411yescharacteristic
686C2×C4×C83C22×D411yescharacteristic
687C2×C4×C83C22×D411yescharacteristic
688C2×C4×C83C22×D411yescharacteristic
689C2×C4×C83C22×D411yescharacteristic
690C2×C4×C83C2511yescharacteristic
691C2×Dic83—22no—
692C2×Dic83—21no—
693C2×Dic83—21no—
694C2×Dic83—21no—
695C2×Dic83—21no—
696C2×Dic83—21no—
697C2×Dic83—21no—
698C2×Dic83—21no—
699C2×Dic83—21no—
700C2×Dic83—81no—
701C2×Dic83C22×D411yescharacteristic
702C2×Dic83C22×D411yescharacteristic
703C2×Dic83C22×D411yescharacteristic
704C2×Dic83C22×D411yescharacteristic
705C2×Dic83C22×D411yescharacteristic
706C2×Dic83C22×D411yescharacteristic
707C4×D83—22no—
708C4×D83—22no—
709C4×D83—22no—
710C4×D83—22no—
711C4×D83—22no—
712C4×D83—21no—
713C4×D83—21no—
714C4×D83—22no—
715C4×D83—42no—
716C4×D83—42no—
717C4×D83—42no—
718C4×D83—42no—
719C4×D83—42no—
720C4×D83—42no—
721C4×D83—42no—
722C4×D83—42no—
723C4×D83—81no—
724C4×D83—81no—
725C4×D832−1+412yes—
726C4×D832−1+412yes—
727Dic166—21no—
728Dic166—21no—
729Dic166—21no—
730Dic166—21no—
731Dic166—42no—
732Dic166—42no—
733Dic166—81no—
734Dic166—81no—
735Dic166—81no—
736Dic166—81no—
737Dic166—81no—
738Dic166—81no—
739C8×C83—21no—
740C8×C83—21no—
741C8×C83—21no—
742C8×C83—21no—
743C83⋊C8—21no—
744C83⋊C8—21no—
745C83⋊C8—21no—
746C83⋊C8—21no—
747C22×C83—21no—
748C22×C83—21no—
749C22×C83—21no—
750C22×C83C23×D411yescharacteristic
751C2×D83—21no—
752C2×D83—21no—
753C2×D83—21no—
754C2×D83—44no—
755C2×D83#53612yes—
756C2×D83#57712yes—
757C2×D83#57812yes—
758C4×C83—21no—
759C4×C83—21no—
760C4×C83—21no—
761C4×C83—21no—
762C4×C83—21no—
763C4×C83—41no—
764C4×C83—41no—
765C4×C83—41no—
766C4×C83—41no—
767C4×C83—41no—
768C4×C83—41no—
769C4×C83—41no—
770C4×C83—41no—
771C4×C83C2×2−1+411yescharacteristic
772C4×C83C2×2−1+411yescharacteristic
773Dic83—21no—
774Dic83—21no—
775Dic83—21no—
776Dic83—21no—
777Dic83—21no—
778Dic83—41no—
779Dic83—41no—
780Dic83—41no—
781Dic83—41no—
782Dic83—41no—
783Dic83—41no—
784Dic83—41no—
785Dic83—41no—
786Dic83#53612yes—
787C2×#3242—831nomaximal, Sylow
788C2×C83—41no—
789C2×C83C2×#53611yescharacteristic
790C2×C83C2×#57711yescharacteristic
791C2×C83C2×#57811yescharacteristic
792D83—41no—
793D83#324214yesdirect product factor
794C2×#544—831no—
795C2×#541—831no—
796#3242—831no—
797#3242—831no—
798#3242—831no—
799#3242—831no—
800#3242—831no—
801#3242—831no—
802#3242—831no—
803#3242—831no—
804#3242—831no—
805#3242—831no—
806#3242—831no—
807#3242—831no—
808#3242—831no—
809#3242—831no—
810#3242—831no—
811#3242D8311yescharacteristic, direct product factor
812C2×#501—831no—
813C2×#499—831no—
814C2×#491—831no—
815C2×#487—831no—
816C2×#484—831no—
817C2×#485—831no—
818C2×#485—831no—
819C2×#483—831no—
820C2×#479—831no—
821C2×#479—831no—
822C2×#477—831no—
823C2×#475—831no—
824C2×#433—831no—
825C83C2×#324211yescharacteristic, complemented, Sylow
826#544—831no—
827#544—831no—
828#544—831no—
829#544—831no—
830#544—831no—
831#544—831no—
832#544—831no—
833#544—1661no—
834#544—1661no—
835#544—1661no—
836#544—1661no—
837#544C2×D8311yescharacteristic
838#541—831no—
839#541—831no—
840#541—831no—
841#541—831no—
842#541—831no—
843#541—831no—
844#541—831no—
845#541—1661no—
846#541—1661no—
847#541—1661no—
848#541—1661no—
849#541C2×D8311yescharacteristic
850C2×C4⋊Q8—831no—
851C2×C4⋊Q8—831no—
852C2×C4⋊Q8—831no—
853C2×C4⋊Q8—1661no—
854C2×#126—1661no—
855C2×#126—1661no—
856C2×#125—831no—
857C2×#125—831no—
858C2×#125—831no—
859C2×#125—1661no—
860C2×#125—1661no—
861C2×#125—1661no—
862C2×C22⋊Q8—831no—
863C2×C22⋊Q8—831no—
864C2×C22⋊Q8—1661no—
865C2×C22⋊Q8—1661no—
866C2×C4×Q8—831no—
867C2×C4×Q8—831no—
868C2×#117—831no—
869C2×#117—831no—
870C22×C4⋊C4—831no—
871#501—831no—
872#501—831no—
873#501—831no—
874#501—831no—
875#501—831no—
876#501—831no—
877#501—831no—
878#501C2×D8311yescharacteristic, complemented
879#499—831no—
880#499—831no—
881#499—831no—
882#499—831no—
883#499—831no—
884#499—831no—
885#499—831no—
886#499C2×D8311yescharacteristic, complemented
887#491—831no—
888#491—831no—
889#491—831no—
890#491—831no—
891#491—831no—
892#491—831no—
893#491—831no—
894#491C2×D8311yescharacteristic, complemented
895#487—831no—
896#487—831no—
897#487—831no—
898#487—831no—
899#487—831no—
900#487—831no—
901#487—831no—
902#487C2×D8311yescharacteristic, complemented
903#485—831no—
904#485—831no—
905#485—831no—
906#485—831no—
907#485—831no—
908#485—831no—
909#485—831no—
910#485—831no—
911#485—831no—
912#485—831no—
913#485—831no—
914#485—831no—
915#485—831no—
916#485—831no—
917#485C2×D8311yescharacteristic
918#485C2×D8311yescharacteristic
919#484—831no—
920#484—831no—
921#484—831no—
922#484—831no—
923#484—831no—
924#484—831no—
925#484—831no—
926#484C2×D8311yescharacteristic
927#483—831no—
928#483—831no—
929#483—831no—
930#483—831no—
931#483—831no—
932#483—831no—
933#483—831no—
934#483C2×D8311yescharacteristic
935#479—831no—
936#479—831no—
937#479—831no—
938#479—831no—
939#479—831no—
940#479—831no—
941#479—831no—
942#479—831no—
943#479—831no—
944#479—831no—
945#479—831no—
946#479—831no—
947#479—831no—
948#479—831no—
949#479C2×D8311yescharacteristic, complemented
950#479C2×D8311yescharacteristic, complemented
951#477—831no—
952#477—831no—
953#477—831no—
954#477—831no—
955#477—831no—
956#477—831no—
957#477—831no—
958#477C2×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#433—831no—
968#433—831no—
969#433—831no—
970#433—831no—
971#433—831no—
972#433—831no—
973#433—831no—
974#433C2×D8311yescharacteristic
975C2×#107—831no—
976C2×#107—831no—
977C2×#107—831no—
978C2×#107—831no—
979C2×#106—831no—
980C2×#106—831no—
981C2×#106—831no—
982C2×#106—831no—
983C2×C4⋊C8—831no—
984C2×C4⋊C8—831no—
985C2×#103—831no—
986C2×#103—831no—
987C2×#103—831no—
988C2×#103—831no—
989C2×#103—831no—
990C2×#103—831no—
991C2×#103—831no—
992C2×#103—831no—
993C2×C22⋊C8—831no—
994C2×C22⋊C8—831no—
995C2×#97—831no—
996C2×C4×C8—831no—
997C22×Q8—831no—
998C22×Q8—831no—
999C22×Q8—1661no—
1000C22×Q8—1661no—
1001C23×C4—831no—
1002C23×C4—1661no—
1003C22×C8—831no—
1004C22×C8—831no—
1005C22×C8—831no—
1006C22×C8—831no—
1007C4⋊Q8—21no—
1008C4⋊Q8—831no—
1009C4⋊Q8—831no—
1010C4⋊Q8—831no—
1011C4⋊Q8—831no—
1012C4⋊Q8—831no—
1013C4⋊Q8—831no—
1014C4⋊Q8—831no—
1015C4⋊Q8—831no—
1016C4⋊Q8—831no—
1017C4⋊Q8—1661no—
1018C4⋊Q8—1661no—
1019C4⋊Q8—1661no—
1020C4⋊Q8—1661no—
1021C4⋊Q8—1661no—
1022C4⋊Q8—1661no—
1023C4⋊Q8—1661no—
1024C4⋊Q8—1661no—
1025C4⋊Q8—1661no—
1026C4⋊Q8—1661no—
1027C4⋊Q8—1661no—
1028C4⋊Q8—1661no—
1029C4⋊Q8—1661no—
1030C4⋊Q8C22×D8311yescharacteristic
1031C4⋊Q8C22×D8311yescharacteristic
1032C4⋊Q8C22×D8311yescharacteristic
1033#126—21no—
1034#126—21no—
1035#126—1661no—
1036#126—1661no—
1037#126—1661no—
1038#126—1661no—
1039#126—1661no—
1040#126—1661no—
1041#126—1661no—
1042#126—1661no—
1043#126—1661no—
1044#126—1661no—
1045#126—1661no—
1046#126—1661no—
1047#126—1661no—
1048#126—1661no—
1049#125—21no—
1050#125—21no—
1051#125—21no—
1052#125—831no—
1053#125—831no—
1054#125—831no—
1055#125—831no—
1056#125—831no—
1057#125—831no—
1058#125—831no—
1059#125—831no—
1060#125—831no—
1061#125—1661no—
1062#125—1661no—
1063#125—1661no—
1064#125—1661no—
1065#125—1661no—
1066#125—1661no—
1067#125—1661no—
1068#125—1661no—
1069#125—1661no—
1070#125—1661no—
1071#125—1661no—
1072#125—1661no—
1073#125—1661no—
1074#125—1661no—
1075#125—1661no—
1076#125—1661no—
1077#125—1661no—
1078#125—1661no—
1079#125—1661no—
1080#125—1661no—
1081#125—1661no—
1082#125—1661no—
1083#125—1661no—
1084#125—1661no—
1085#125—1661no—
1086#125—1661no—
1087#125—1661no—
1088#125C22×D8311yescharacteristic
1089#125C22×D8311yescharacteristic
1090#125C22×D8311yescharacteristic
1091C22⋊Q8—21no—
1092C22⋊Q8—21no—
1093C22⋊Q8—831no—
1094C22⋊Q8—831no—
1095C22⋊Q8—831no—
1096C22⋊Q8—831no—
1097C22⋊Q8—831no—
1098C22⋊Q8—831no—
1099C22⋊Q8—1661no—
1100C22⋊Q8—1661no—
1101C22⋊Q8—1661no—
1102C22⋊Q8—1661no—
1103C22⋊Q8—1661no—
1104C22⋊Q8—1661no—
1105C22⋊Q8—1661no—
1106C22⋊Q8—1661no—
1107C22⋊Q8—1661no—
1108C22⋊Q8—1661no—
1109C22⋊Q8—1661no—
1110C22⋊Q8—1661no—
1111C22⋊Q8—1661no—
1112C22⋊Q8—1661no—
1113C22⋊Q8—1661no—
1114C22⋊Q8—1661no—
1115C22⋊Q8—1661no—
1116C22⋊Q8—1661no—
1117C22⋊Q8C22×D8311yescharacteristic
1118C22⋊Q8C22×D8311yescharacteristic
1119C4×Q8—831no—
1120C4×Q8—831no—
1121C4×Q8—831no—
1122C4×Q8—831no—
1123C4×Q8—831no—
1124C4×Q8—831no—
1125C4×Q8—1661no—
1126C4×Q8—1661no—
1127C4×Q8—1661no—
1128C4×Q8—1661no—
1129C4×Q8C22×D8311yescharacteristic
1130C4×Q8C22×D8311yescharacteristic
1131#117—831no—
1132#117—831no—
1133#117—831no—
1134#117—831no—
1135#117—831no—
1136#117—831no—
1137#117—831no—
1138#117—831no—
1139#117—831no—
1140#117—831no—
1141#117—1661no—
1142#117—1661no—
1143#117C22×D8311yescharacteristic
1144#117C22×D8311yescharacteristic
1145C2×C4⋊C4—831no—
1146C2×C4⋊C4—831no—
1147C2×C4⋊C4—831no—
1148C2×C4⋊C4—831no—
1149C2×C4⋊C4—831no—
1150C2×C4⋊C4—831no—
1151C2×C4⋊C4—831no—
1152C2×C4⋊C4—831no—
1153C2×C4⋊C4—831no—
1154C2×C4⋊C4—831no—
1155C2×C4⋊C4—831no—
1156C2×C4⋊C4—1661no—
1157C2×C4⋊C4—1661no—
1158C2×C4⋊C4—1661no—
1159C2×C4⋊C4—1661no—
1160C2×C4⋊C4—1661no—
1161C2×C4⋊C4—1661no—
1162C2×C4⋊C4—1661no—
1163C2×C4⋊C4—1661no—
1164C2×C4⋊C4—1661no—
1165C2×C4⋊C4—1661no—
1166C2×C4⋊C4—1661no—
1167C2×C4⋊C4—1661no—
1168C2×C4⋊C4—1661no—
1169C2×C4⋊C4—1661no—
1170C2×C4⋊C4—1661no—
1171C2×C4⋊C4—1661no—
1172C2×C4⋊C4—1661no—
1173C2×C4⋊C4C22×D8311yescharacteristic
1174C2×C22⋊C4—831no—
1175C2×C22⋊C4—831no—
1176C2×C22⋊C4—1661no—
1177C2×C22⋊C4—1661no—
1178C2×C22⋊C4—1661no—
1179C2×C42—831no—
1180C2×C42—831no—
1181C2×C42—1661no—
1182C2×C42—1661no—
1183C2×C42—1661no—
1184#107—831no—
1185#107—831no—
1186#107—831no—
1187#107—831no—
1188#107—831no—
1189#107—831no—
1190#107—831no—
1191#107—831no—
1192#107—831no—
1193#107—831no—
1194#107—831no—
1195#107—831no—
1196#107C22×D8311yescharacteristic
1197#107C22×D8311yescharacteristic
1198#107C22×D8311yescharacteristic
1199#107C22×D8311yescharacteristic
1200#106—831no—
1201#106—831no—
1202#106—831no—
1203#106—831no—
1204#106—831no—
1205#106—831no—
1206#106—831no—
1207#106—831no—
1208#106—831no—
1209#106—831no—
1210#106—831no—
1211#106—831no—
1212#106C22×D8311yescharacteristic
1213#106C22×D8311yescharacteristic
1214#106C22×D8311yescharacteristic
1215#106C22×D8311yescharacteristic
1216C4⋊C8—831no—
1217C4⋊C8—831no—
1218C4⋊C8—831no—
1219C4⋊C8—831no—
1220C4⋊C8—831no—
1221C4⋊C8—831no—
1222C4⋊C8C22×D8311yescharacteristic
1223C4⋊C8C22×D8311yescharacteristic
1224#103—831no—
1225#103—831no—
1226#103—831no—
1227#103—831no—
1228#103—831no—
1229#103—831no—
1230#103—831no—
1231#103—831no—
1232#103—831no—
1233#103—831no—
1234#103—831no—
1235#103—831no—
1236#103—831no—
1237#103—831no—
1238#103—831no—
1239#103—831no—
1240#103—831no—
1241#103—831no—
1242#103—831no—
1243#103—831no—
1244#103—831no—
1245#103—831no—
1246#103—831no—
1247#103—831no—
1248#103C22×D8311yescharacteristic
1249#103C22×D8311yescharacteristic
1250#103C22×D8311yescharacteristic
1251#103C22×D8311yescharacteristic
1252#103C22×D8311yescharacteristic
1253#103C22×D8311yescharacteristic
1254#103C22×D8311yescharacteristic
1255#103C22×D8311yescharacteristic
1256C22⋊C8—831no—
1257C22⋊C8—831no—
1258C22⋊C8—831no—
1259C22⋊C8—831no—
1260C22⋊C8—831no—
1261C22⋊C8—831no—
1262C22⋊C8C22×D8311yescharacteristic
1263C22⋊C8C22×D8311yescharacteristic
1264#97—831no—
1265#97—831no—
1266#97—831no—
1267#97C22×D8311yescharacteristic
1268C4×C8—831no—
1269C4×C8—831no—
1270C4×C8—831no—
1271C4×C8C22×D8311yescharacteristic
1272C24—831no—
1273C2×Q8—21no—
1274C2×Q8—21no—
1275C2×Q8—831no—
1276C2×Q8—831no—
1277C2×Q8—6642no—
1278C2×Q8—6642no—
1279C2×Q8—1661no—
1280C2×Q8—1661no—
1281C2×Q8—1661no—
1282C2×Q8—1661no—
1283C2×Q8—1661no—
1284C2×Q8—1661no—
1285C2×Q8—1662no—
1286C2×Q8—1662no—
1287C2×Q8—1662no—
1288C2×Q8—1662no—
1289C2×Q8—1661no—
1290C2×Q8—1661no—
1291C2×Q8C23×D8311yescharacteristic
1292C2×Q8C23×D8311yescharacteristic
1293C22×C4—21no—
1294C22×C4—831no—
1295C22×C4—831no—
1296C22×C4—831no—
1297C22×C4—831no—
1298C22×C4—831no—
1299C22×C4—831no—
1300C22×C4—831no—
1301C22×C4—831no—
1302C22×C4—831no—
1303C22×C4—6642no—
1304C22×C4—1661no—
1305C22×C4—1661no—
1306C22×C4—1661no—
1307C22×C4—1661no—
1308C22×C4—1661no—
1309C22×C4—1661no—
1310C22×C4—1661no—
1311C22×C4—1661no—
1312C22×C4—1662no—
1313C22×C4—1662no—
1314C22×C4—1661no—
1315C22×C4—1661no—
1316C22×C4—1661no—
1317C22×C4C23×D8311yescharacteristic
1318C2×C8—831no—
1319C2×C8—831no—
1320C2×C8—831no—
1321C2×C8—831no—
1322C2×C8—1662no—
1323C2×C8—1662no—
1324C2×C8—1662no—
1325C2×C8—1662no—
1326C2×C8C23×D8311yescharacteristic
1327C2×C8C23×D8311yescharacteristic
1328C2×C8C23×D8311yescharacteristic
1329C2×C8C23×D8311yescharacteristic
1330C4⋊C4—21no—
1331C4⋊C4—21no—
1332C4⋊C4—21no—
1333C4⋊C4—21no—
1334C4⋊C4—21no—
1335C4⋊C4—21no—
1336C4⋊C4—21no—
1337C4⋊C4—21no—
1338C4⋊C4—21no—
1339C4⋊C4—21no—
1340C4⋊C4—21no—
1341C4⋊C4—21no—
1342C4⋊C4—21no—
1343C4⋊C4—21no—
1344C4⋊C4—21no—
1345C4⋊C4—831no—
1346C4⋊C4—831no—
1347C4⋊C4—831no—
1348C4⋊C4—831no—
1349C4⋊C4—831no—
1350C4⋊C4—831no—
1351C4⋊C4—831no—
1352C4⋊C4—831no—
1353C4⋊C4—831no—
1354C4⋊C4—831no—
1355C4⋊C4—831no—
1356C4⋊C4—831no—
1357C4⋊C4—1661no—
1358C4⋊C4—1661no—
1359C4⋊C4—1661no—
1360C4⋊C4—1661no—
1361C4⋊C4—1661no—
1362C4⋊C4—1661no—
1363C4⋊C4—1661no—
1364C4⋊C4—1661no—
1365C4⋊C4—1661no—
1366C4⋊C4—1661no—
1367C4⋊C4—1661no—
1368C4⋊C4—1661no—
1369C4⋊C4—1661no—
1370C4⋊C4—1661no—
1371C4⋊C4—1661no—
1372C4⋊C4—1661no—
1373C4⋊C4—1661no—
1374C4⋊C4—1661no—
1375C4⋊C4—1661no—
1376C4⋊C4—1661no—
1377C4⋊C4—1661no—
1378C4⋊C4—1661no—
1379C4⋊C4—1661no—
1380C4⋊C4—1661no—
1381C4⋊C4—1661no—
1382C4⋊C4—1661no—
1383C4⋊C4—1661no—
1384C4⋊C4—1661no—
1385C4⋊C4—1661no—
1386C4⋊C4—1661no—
1387C4⋊C4—1661no—
1388C4⋊C4—1661no—
1389C4⋊C4—1661no—
1390C4⋊C4—1661no—
1391C4⋊C4—1661no—
1392C4⋊C4—1661no—
1393C4⋊C4—1661no—
1394C4⋊C4—1661no—
1395C4⋊C4—1661no—
1396C4⋊C4—1661no—
1397C4⋊C4—1661no—
1398C4⋊C4—1661no—
1399C4⋊C4—1661no—
1400C4⋊C4—1661no—
1401C4⋊C4—1661no—
1402C4⋊C4—1661no—
1403C4⋊C4—1661no—
1404C4⋊C4—1661no—
1405C4⋊C4—1661no—
1406C4⋊C4—1661no—
1407C4⋊C4—1661no—
1408C4⋊C4D4×D8311yescharacteristic
1409C4⋊C4D4×D8311yescharacteristic
1410C4⋊C4C23×D8311yescharacteristic
1411C4⋊C4C23×D8311yescharacteristic
1412C4⋊C4C23×D8311yescharacteristic
1413C4⋊C4C23×D8311yescharacteristic
1414C4⋊C4C23×D8311yescharacteristic
1415C4⋊C4C23×D8311yescharacteristic
1416C22⋊C4—21no—
1417C22⋊C4—21no—
1418C22⋊C4—21no—
1419C22⋊C4—831no—
1420C22⋊C4—831no—
1421C22⋊C4—831no—
1422C22⋊C4—831no—
1423C22⋊C4—831no—
1424C22⋊C4—831no—
1425C22⋊C4—1661no—
1426C22⋊C4—1661no—
1427C22⋊C4—1661no—
1428C22⋊C4—1661no—
1429C22⋊C4—1661no—
1430C22⋊C4—1661no—
1431C22⋊C4—1661no—
1432C22⋊C4—1661no—
1433C22⋊C4—1661no—
1434C22⋊C4D4×D8311yescharacteristic
1435C22⋊C4D4×D8311yescharacteristic
1436C42—21no—
1437C42—21no—
1438C42—21no—
1439C42—831no—
1440C42—831no—
1441C42—831no—
1442C42—831no—
1443C42—831no—
1444C42—831no—
1445C42—1661no—
1446C42—1661no—
1447C42—1661no—
1448C42—1661no—
1449C42—1661no—
1450C42—1661no—
1451C42—1661no—
1452C42—1661no—
1453C42—1661no—
1454C42C23×D8311yescharacteristic
1455C42C23×D8311yescharacteristic
1456C23—831no—
1457C23—831no—
1458C23—1662no—
1459C23—1662no—
1460C23—1662no—
1461C23C2×D4×D8311yescharacteristic
1462Q8—21no—
1463Q8—21no—
1464Q8—21no—
1465Q8—21no—
1466Q8—81no—
1467Q8—81no—
1468Q8—3322no—
1469Q8—3322no—
1470Q8—6641no—
1471Q8—6641no—
1472Q8—6641no—
1473Q8—6641no—
1474Q8—6641no—
1475Q8—6641no—
1476Q8—1661no—
1477Q8—1661no—
1478Q8—1661no—
1479Q8—1661no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—21no—
1485C2×C4—21no—
1486C2×C4—21no—
1487C2×C4—21no—
1488C2×C4—21no—
1489C2×C4—21no—
1490C2×C4—81no—
1491C2×C4—3322no—
1492C2×C4—3322no—
1493C2×C4—3322no—
1494C2×C4—3322no—
1495C2×C4—3322no—
1496C2×C4—3322no—
1497C2×C4—3322no—
1498C2×C4—3322no—
1499C2×C4—831no—
1500C2×C4—832no—
1501C2×C4—832no—
1502C2×C4—831no—
1503C2×C4—831no—
1504C2×C4—831no—
1505C2×C4—831no—
1506C2×C4—831no—
1507C2×C4—6641no—
1508C2×C4—6641no—
1509C2×C4—6641no—
1510C2×C4—1662no—
1511C2×C4—1662no—
1512C2×C4—1662no—
1513C2×C4—1662no—
1514C2×C4—1662no—
1515C2×C4—1662no—
1516C2×C4—1661no—
1517C2×C4—1661no—
1518C2×C4—1661no—
1519C2×C4—1661no—
1520C2×C4—1661no—
1521C2×C4—1661no—
1522C2×C4—1661no—
1523C2×C4—1661no—
1524C2×C4—1662no—
1525C2×C4—1661no—
1526C2×C4—1661no—
1527C2×C4C2×D4×D8311yescharacteristic
1528C2×C4C2×D4×D8311yescharacteristic
1529C2×C4C2×D4×D8311yescharacteristic
1530C2×C4C2×D4×D8311yescharacteristic
1531C2×C4C2×D4×D8311yescharacteristic
1532C2×C4C24×D8311yescharacteristic
1533C8—21no—
1534C8—21no—
1535C8—21no—
1536C8—21no—
1537C8—1661no—
1538C8—1661no—
1539C8—1661no—
1540C8—1661no—
1541C22—21no—
1542C22—21no—
1543C22—21no—
1544C22—3324no—
1545C22—832no—
1546C22—832no—
1547C22—832no—
1548C22—1661no—
1549C22—1661no—
1550C22—1661no—
1551C22C22×D4×D8311yescharacteristic
1552C4—21no—
1553C4—21no—
1554C4—21no—
1555C4—21no—
1556C4—21no—
1557C4—41no—
1558C4—41no—
1559C4—41no—
1560C4—41no—
1561C4—41no—
1562C4—41no—
1563C4—41no—
1564C4—41no—
1565C4—3321no—
1566C4—3321no—
1567C4—3321no—
1568C4—3321no—
1569C4—3321no—
1570C4—3321no—
1571C4—3321no—
1572C4—3321no—
1573C4—832no—
1574C4—1661no—
1575C4—1661no—
1576C4—1661no—
1577C4—1661no—
1578C4—1661no—
1579C42−1+4×D8311yescharacteristic
1580C42−1+4×D8311yescharacteristic
1581C2—41no—
1582C2—3321no—
1583C2—834no—
1584C2#536×D8311yescharacteristic
1585C2#577×D8311yescharacteristic
1586C2#578×D8311yescharacteristic
subgroupG/H
centerC22C22×D4×D83
commutator, cosocleC2×C4×C83C25
FrattiniC2×C4C24×D83
FittingC83×#3242C2
socleC22×C83C23×D4
prime radicalC23×D83C2×D4
hypercenter#3242D83
hypocenterC83C2×#3242
LCSG ▷ C2×C4×C83 ▷ C2×C83 ▷ C83
UCSC1 ◁ C22 ◁ #117 ◁ #3242

Complements

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

NH ≅ G/Ntype
3. #24918738C2semidirect
4. #24918737C2semidirect
5. #24918736C2semidirect
6. #24918735C2semidirect
7. #24918734C2semidirect
8. #24918733C2semidirect
9. #24918732C2semidirect
10. #24918731C2semidirect
11. #24918730C2semidirect
12. #24918729C2semidirect
13. #24918728C2semidirect
14. #24918727C2semidirect
15. #24918726C2semidirect
16. #24918725C2semidirect
17. #24918724C2semidirect
18. #501×D83C2semidirect
19. #499×D83C2semidirect
20. #491×D83C2semidirect
21. #487×D83C2semidirect
26. #479×D83C2semidirect
27. #479×D83C2semidirect
28. #477×D83C2semidirect
29. #475×D83C2semidirect
31. C83×#3242C2semidirect
75. #19128111C22semidirect
76. #19128110C22semidirect
77. #19128109C22semidirect
78. #19128109C22semidirect
79. #19128108C22semidirect
80. #19128108C22semidirect
81. #19128107C22semidirect
82. #19128103C22semidirect
83. #19128102C22semidirect
84. #19128102C22semidirect
85. #19128101C22semidirect
86. #19128101C22semidirect
87. #19128100C22semidirect
88. #19128100C22semidirect
89. #19128071C22semidirect
90. #19128070C22semidirect
91. #19128069C22semidirect
92. #19128068C22semidirect
93. #19128068C22semidirect
94. #19128068C22semidirect
95. #19128068C22semidirect
96. #19128053C22semidirect
97. #19128052C22semidirect
98. #19128051C22semidirect
99. #19128050C22semidirect
100. #19128050C22semidirect
101. #19128050C22semidirect
102. #19128050C22semidirect
131. #19128011C22semidirect
132. #19128011C22semidirect
133. #19128010C22semidirect
134. #19128010C22semidirect
135. #19128009C22semidirect
136. #19128009C22semidirect
137. #19128008C22semidirect
138. #19128008C22semidirect
139. #19128007C22semidirect
140. #19128007C22semidirect
141. #19128006C22semidirect
142. #19128006C22semidirect
143. #19128005C22semidirect
144. #19128005C22semidirect
145. #19127997C22semidirect
146. #19127996C22semidirect
147. #19127995C22semidirect
148. #19127995C22semidirect
149. #19127994C22semidirect
150. #19127994C22semidirect
151. #19127993C22semidirect
152. #19127987C22semidirect
153. #19127986C22semidirect
154. #19127985C22semidirect
155. #19127985C22semidirect
156. #19127984C22semidirect
157. #19127984C22semidirect
158. #19127983C22semidirect
190. #501×C83C22semidirect
191. #499×C83C22semidirect
192. #491×C83C22semidirect
193. #487×C83C22semidirect
198. #479×C83C22semidirect
199. #479×C83C22semidirect
200. #477×C83C22semidirect
201. #475×C83C22semidirect
793. D83#3242direct (N × H)
811. #3242D83direct (N × H)
825. C83C2×#3242semidirect
878. #501C2×D83semidirect
886. #499C2×D83semidirect
894. #491C2×D83semidirect
902. #487C2×D83semidirect
949. #479C2×D83semidirect
950. #479C2×D83semidirect
958. #477C2×D83semidirect
966. #475C2×D83semidirect

Maximal subgroups

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

subgroupindex
#544×D832
#541×D832
#249187382
#249187372
#249187362
#249187352
#249187342
#249187332
#249187322
#249187312
#249187302
#249187292
#249187282
#249187272
#249187262
#249187252
#249187242
#501×D832
#499×D832
#491×D832
#487×D832
#484×D832
#485×D832
#483×D832
#479×D832
#477×D832
#475×D832
#433×D832
C83×#32422
C2×#324283