Finite Group Databasebeta

← #36285139

Subgroups — #36285139

Order 21248.

1810 conjugacy classes of subgroups.

The subgroup lattice has 1646 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#24921262C211yesmaximal, characteristic, complemented
2#24921260C211yesmaximal, characteristic, complemented
3#24920424C211yesmaximal, characteristic, complemented
4#24920422C211yesmaximal, characteristic, complemented
5#24920421C211yesmaximal, characteristic, complemented
6#24920420C211yesmaximal, characteristic, complemented
7#24920418C211yesmaximal, characteristic, complemented
8#24920417C211yesmaximal, characteristic, complemented
9#24920416C211yesmaximal, characteristic, complemented
10#24920366C211yesmaximal, characteristic, complemented
11#24920365C211yesmaximal, characteristic, complemented
12#24920365C211yesmaximal, characteristic, complemented
13#24920364C211yesmaximal, characteristic, complemented
14#24920363C211yesmaximal, characteristic, complemented
15#24920362C211yesmaximal, characteristic, complemented
16#24920360C211yesmaximal, characteristic, complemented
17#24920359C211yesmaximal, characteristic, complemented
18#24917992C211yesmaximal, characteristic, complemented
19#24917990C211yesmaximal, characteristic, complemented
20#24917984C211yesmaximal, characteristic, complemented
21#24917293C211yesmaximal, characteristic, complemented
22#24917293C211yesmaximal, characteristic, complemented
23#24917291C211yesmaximal, characteristic, complemented
24#24917287C211yesmaximal, characteristic, complemented
25#24917258C211yesmaximal, characteristic, complemented
26#24917255C211yesmaximal, characteristic, complemented
27#24916399C211yesmaximal, characteristic, complemented
28#24916312C211yesmaximal, characteristic
29#24916310C211yesmaximal, characteristic
30#442×D83C211yesmaximal, characteristic
31C83×#3389C211yesmaximal, characteristic, complemented
32C2×D8×D83C2211yescharacteristic
33#19128412C2211yescharacteristic, complemented
34#19128411C2211yescharacteristic, complemented
35#19128410C2211yescharacteristic, complemented
36#19128410C2211yescharacteristic, complemented
37#19128409—21no—
38#19128409—21no—
39#19128408C2211yescharacteristic, complemented
40#19128408C2211yescharacteristic, complemented
41#19128407C2211yescharacteristic, complemented
42#19128407C2211yescharacteristic, complemented
43#19128407C2211yescharacteristic, complemented
44#19128407C2211yescharacteristic, complemented
45#19128406—21no—
46#19128406—21no—
47#19128405—21no—
48#19128405—21no—
49Q8×D332C2211yescharacteristic, complemented
50D4×Dic166C2211yescharacteristic, complemented
51D4×Dic166C2211yescharacteristic, complemented
52#19128366C2211yescharacteristic, complemented
53#19128364—21no—
54#19128364—21no—
55#19128331C2211yescharacteristic
56#19128331C2211yescharacteristic
57#19128331C2211yescharacteristic
58#19128328C2211yescharacteristic
59#19128326—21no—
60#19128326—21no—
61#19128326—21no—
62#19128326—21no—
63#19128257C2211yescharacteristic
64#19128256C2211yescharacteristic
65#19128255C2211yescharacteristic
66C2×#14581772—21no—
67C2×#14581770—21no—
68C22⋊Q8×D83—21no—
69C22⋊Q8×D83—21no—
70#19128173C2211yescharacteristic
71#19128173C2211yescharacteristic
72#19128173C2211yescharacteristic
73#19128173C2211yescharacteristic
74C4×D4×D83C2211yescharacteristic
75C4×D4×D83C2211yescharacteristic
76#19128111C2211yescharacteristic, complemented
77#19128111C2211yescharacteristic, complemented
78#19128111C2211yescharacteristic, complemented
79#19128110C2211yescharacteristic, complemented
80#19128110C2211yescharacteristic, complemented
81#19128109C2211yescharacteristic, complemented
82#19128109C2211yescharacteristic, complemented
83#19128109C2211yescharacteristic, complemented
84#19128109C2211yescharacteristic, complemented
85#19128109C2211yescharacteristic, complemented
86#19128108C2211yescharacteristic, complemented
87#19128108C2211yescharacteristic, complemented
88#19128108C2211yescharacteristic, complemented
89#19128107C2211yescharacteristic, complemented
90#19128102C2211yescharacteristic, complemented
91#19128101C2211yescharacteristic, complemented
92#19128100C2211yescharacteristic, complemented
93#19128099C2211yescharacteristic, complemented
94#19128098C2211yescharacteristic, complemented
95#19128098C2211yescharacteristic, complemented
96#19128097C2211yescharacteristic, complemented
97#19128004C2211yescharacteristic, complemented
98#19128004C2211yescharacteristic, complemented
99#19128004C2211yescharacteristic, complemented
100#19128004C2211yescharacteristic, complemented
101#19128003C2211yescharacteristic, complemented
102#19128003C2211yescharacteristic, complemented
103#19128003C2211yescharacteristic, complemented
104#19128003C2211yescharacteristic, complemented
105#19128002C2211yescharacteristic, complemented
106#19128002C2211yescharacteristic, complemented
107#19128001C2211yescharacteristic, complemented
108#19128001C2211yescharacteristic, complemented
109#19128000C2211yescharacteristic, complemented
110#19128000C2211yescharacteristic, complemented
111#19127999C2211yescharacteristic, complemented
112#19127999C2211yescharacteristic, complemented
113#19127998C2211yescharacteristic, complemented
114#19127998C2211yescharacteristic, complemented
115#19127998C2211yescharacteristic, complemented
116#19127998C2211yescharacteristic, complemented
117#19127992C2211yescharacteristic, complemented
118#19127992C2211yescharacteristic, complemented
119#19127992C2211yescharacteristic, complemented
120#19127991C2211yescharacteristic, complemented
121#19127991C2211yescharacteristic, complemented
122#19127990C2211yescharacteristic, complemented
123#19127990C2211yescharacteristic, complemented
124#19127989C2211yescharacteristic, complemented
125#19127989C2211yescharacteristic, complemented
126#19127989C2211yescharacteristic, complemented
127#19127989C2211yescharacteristic, complemented
128#19127988C2211yescharacteristic, complemented
129#19127982C2211yescharacteristic, complemented
130#19127981C2211yescharacteristic, complemented
131#19127981C2211yescharacteristic, complemented
132#19127980C2211yescharacteristic, complemented
133#19127980C2211yescharacteristic, complemented
134#19127980C2211yescharacteristic, complemented
135#19127980C2211yescharacteristic, complemented
136#19127979C2211yescharacteristic, complemented
137#19127979C2211yescharacteristic, complemented
138#19127978C2211yescharacteristic, complemented
139#19127832C2211yescharacteristic, complemented
140#19127831C2211yescharacteristic, complemented
141#19127830C2211yescharacteristic, complemented
142#19127830C2211yescharacteristic, complemented
143#19127829C2211yescharacteristic, complemented
144#19127829C2211yescharacteristic, complemented
145#19127828C2211yescharacteristic, complemented
146#19127814C2211yescharacteristic
147#19127814C2211yescharacteristic
148#19127813C2211yescharacteristic
149#19127813C2211yescharacteristic
150#19127812C2211yescharacteristic
151#19127812C2211yescharacteristic
152#19127811C2211yescharacteristic
153#19127811C2211yescharacteristic
154#19127811C2211yescharacteristic
155#19127811C2211yescharacteristic
156#19127810C2211yescharacteristic
157#19127810C2211yescharacteristic
158#19127810C2211yescharacteristic
159#19127810C2211yescharacteristic
160C4×D664C2211yescharacteristic
161D8×Dic83C2211yescharacteristic
162#19127783C2211yescharacteristic
163C4×#13050575C2211yescharacteristic
164C4×#13050575C2211yescharacteristic
165#19127781C2211yescharacteristic
166#19127781C2211yescharacteristic
167#19127742C2211yescharacteristic
168#19127742C2211yescharacteristic
169#19127742C2211yescharacteristic
170#19127740C2211yescharacteristic
171#19127738C2211yescharacteristic
172#19127738C2211yescharacteristic
173#19127736C2211yescharacteristic
174#19127736C2211yescharacteristic
175#106×D83C2211yescharacteristic
176#19127726C2211yescharacteristic
177#19127726C2211yescharacteristic
178#19127723C2211yescharacteristic
179#19127704C2211yescharacteristic
180#19127704C2211yescharacteristic
181#19127704C2211yescharacteristic
182#19127704C2211yescharacteristic
183#102×D83C2211yescharacteristic
184#102×D83C2211yescharacteristic
185#19127658C2211yescharacteristic
186#19127655C2211yescharacteristic
187#97×D83C2211yescharacteristic
188#554×C83C2211yescharacteristic, complemented
189#554×C83C2211yescharacteristic, complemented
190#501×C83C2211yescharacteristic, complemented
191#501×C83C2211yescharacteristic, complemented
192#499×C83C2211yescharacteristic, complemented
193#478×C83C2211yescharacteristic, complemented
194#478×C83C2211yescharacteristic, complemented
195#478×C83C2211yescharacteristic, complemented
196#478×C83C2211yescharacteristic, complemented
197#474×C83C2211yescharacteristic, complemented
198#474×C83C2211yescharacteristic, complemented
199#446×C83C2211yescharacteristic, complemented
200#442×C83C2211yescharacteristic
201#442×C83C2211yescharacteristic
202C4×D8×C83C2211yescharacteristic
203C22×Dic166—21no—
204C22×Dic166—21no—
205C2×Q8×D83—21no—
206C2×Q8×D83—21no—
207C2×D4×D83C2311yescharacteristic
208C2×D4×D83C2311yescharacteristic
209C22×C4×D83—21no—
210C22×C4×D83—21no—
211C2×D664C2311yescharacteristic
212C2×#13050575C2311yescharacteristic
213C2×#13050575C2311yescharacteristic
214D8×D83Q818yescomplemented
215C2×#13050573C2311yescharacteristic
216C2×#13050573C2311yescharacteristic
217C2×C8×D83C2311yescharacteristic
218C2×C8×D83C2311yescharacteristic
219#14581792C2311yescharacteristic
220#14581792C2311yescharacteristic
221#14581792C2311yescharacteristic
222#14581792C2311yescharacteristic
223#14581791—21no—
224#14581791—21no—
225#14581791—21no—
226#14581791D411yescharacteristic
227#14581791C2311yescharacteristic
228#14581791C2311yescharacteristic
229#14581791C2311yescharacteristic
230#14581791C2311yescharacteristic
231#14581791C2311yescharacteristic
232#14581791C2311yescharacteristic
233#14581790—21no—
234#14581790D411yescharacteristic
235#14581784C2311yescharacteristic
236#14581784C2311yescharacteristic
237#14581783C2311yescharacteristic
238#14581783C2311yescharacteristic
239#14581783C2311yescharacteristic
240#14581783C2311yescharacteristic
241#14581783C2311yescharacteristic
242#14581783C2311yescharacteristic
243#14581782—21no—
244#14581782—21no—
245#14581782—21no—
246#14581782—21no—
247#14581782D411yescharacteristic
248#14581782D411yescharacteristic
249#14581772—21no—
250#14581772—21no—
251#14581772—21no—
252#14581772—21no—
253#14581772—21no—
254#14581772—21no—
255#14581772—21no—
256#14581772—21no—
257#14581772—21no—
258#14581772—21no—
259#14581772—21no—
260#14581772—21no—
261#14581772D411yescharacteristic
262#14581771—21no—
263#14581771—21no—
264#14581771—21no—
265#14581771—21no—
266#14581771—21no—
267#14581771—21no—
268#14581770—21no—
269#14581770—21no—
270#14581770—21no—
271#14581770—21no—
272#14581770—21no—
273#14581770—21no—
274#14581770—21no—
275#14581770—21no—
276#14581770—21no—
277#14581770—21no—
278#14581770—21no—
279#14581770—21no—
280#14581770—21no—
281#14581770—21no—
282#14581770—21no—
283#14581770—21no—
284#14581770—21no—
285#14581770—21no—
286#14581770D411yescharacteristic
287#14581770D411yescharacteristic
288#14581769—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#14581769—21no—
298#14581769—21no—
299#14581769—21no—
300#14581768—21no—
301#14581768—21no—
302#14581768—21no—
303#14581768—21no—
304#14581768—21no—
305#14581768—21no—
306#14581768D411yescharacteristic
307Q8×Dic83—21no—
308C4×Dic166C2311yescharacteristic
309C4×Dic166C2311yescharacteristic
310C4×Dic166C2311yescharacteristic
311#14581757—21no—
312#14581757—21no—
313#14581757—21no—
314C4×D332C2311yescharacteristic
315C4×D332C2311yescharacteristic
316C4×D332C2311yescharacteristic
317C4×D332C2311yescharacteristic
318C4×D332C2311yescharacteristic
319C4×D332C2311yescharacteristic
320D4×Dic83C2311yescharacteristic
321D4×Dic83C2311yescharacteristic
322D4×Dic83C2311yescharacteristic
323D4×Dic83C2311yescharacteristic
324D4×Dic83C2311yescharacteristic
325D4×Dic83C2311yescharacteristic
326#14581754C2311yescharacteristic
327#14581754C2311yescharacteristic
328#14581754C2311yescharacteristic
329#14581754C2311yescharacteristic
330#14581754C2311yescharacteristic
331#14581754C2311yescharacteristic
332C4×C22⋊D83—21no—
333C4×C22⋊D83—21no—
334C4×C22⋊D83—21no—
335C4×C22⋊D83—21no—
336C4×C22⋊D83—21no—
337C4×C22⋊D83—21no—
338(C22⋊D83)⋊C4—21no—
339(C22⋊D83)⋊C4—21no—
340(C22⋊D83)⋊C4—21no—
341(C22⋊D83)⋊C4—21no—
342(C22⋊D83)⋊C4—21no—
343(C22⋊D83)⋊C4—21no—
344#14581750C2311yescharacteristic
345#14581750C2311yescharacteristic
346#14581750C2311yescharacteristic
347#14581750C2311yescharacteristic
348#14581749C2311yescharacteristic
349#14581749C2311yescharacteristic
350C2×C4⋊Dic83—21no—
351C2×C4⋊Dic83—21no—
352C2×Dic83⋊C4—21no—
353C2×Dic83⋊C4—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×D83C2311yescharacteristic
361C4⋊C4×D83C2311yescharacteristic
362C2×(C2×D83)⋊C4—21no—
363C2×(C2×D83)⋊C4—21no—
364C2×(C2×D83)⋊C4—21no—
365C2×(C2×D83)⋊C4—21no—
366C22⋊C4×D83—21no—
367C22⋊C4×D83—21no—
368C22⋊C4×D83—21no—
369C22⋊C4×D83—21no—
370C22⋊C4×D83—21no—
371C22⋊C4×D83—21no—
372C42×D83C2311yescharacteristic
373#14581726C2311yescharacteristic
374#14581726C2311yescharacteristic
375#14581726C2311yescharacteristic
376#14581725C2311yescharacteristic
377#14581725C2311yescharacteristic
378#14581725C2311yescharacteristic
379#14581725C2311yescharacteristic
380#14581725C2311yescharacteristic
381#14581725C2311yescharacteristic
382#14581725C2311yescharacteristic
383#14581725C2311yescharacteristic
384#14581724C2311yescharacteristic
385#14581724C2311yescharacteristic
386#14581724C2311yescharacteristic
387#14581724C2311yescharacteristic
388#14581724C2311yescharacteristic
389#14581724C2311yescharacteristic
390#14581723C2311yescharacteristic
391#14581723C2311yescharacteristic
392#14581723C2311yescharacteristic
393#14581723C2311yescharacteristic
394#14581723C2311yescharacteristic
395#14581723C2311yescharacteristic
396#14581723C2311yescharacteristic
397#14581723C2311yescharacteristic
398#14581723C2311yescharacteristic
399#14581723C2311yescharacteristic
400C4⋊(C83⋊C8)C2311yescharacteristic
401C4⋊(C83⋊C8)C2311yescharacteristic
402C4⋊(C83⋊C8)C2311yescharacteristic
403Dic83⋊C8C2311yescharacteristic
404Dic83⋊C8C2311yescharacteristic
405Dic83⋊C8C2311yescharacteristic
406Dic83⋊C8C2311yescharacteristic
407Dic83⋊C8C2311yescharacteristic
408Dic83⋊C8C2311yescharacteristic
409#14581714C2311yescharacteristic
410#14581714C2311yescharacteristic
411#14581714C2311yescharacteristic
412#14581714C2311yescharacteristic
413#14581714C2311yescharacteristic
414#14581714C2311yescharacteristic
415#14581713C2311yescharacteristic
416#14581713C2311yescharacteristic
417#14581713C2311yescharacteristic
418#14581713C2311yescharacteristic
419#14581713C2311yescharacteristic
420#14581713C2311yescharacteristic
421#14581712C2311yescharacteristic
422#14581712C2311yescharacteristic
423#14581712C2311yescharacteristic
424#14581712C2311yescharacteristic
425#14581712C2311yescharacteristic
426#14581712C2311yescharacteristic
427#14581703C2311yescharacteristic
428#14581703C2311yescharacteristic
429#14581702C2311yescharacteristic
430#14581702C2311yescharacteristic
431#14581702C2311yescharacteristic
432#14581702C2311yescharacteristic
433C4×C83⋊C8C2311yescharacteristic
434C8×Dic83C2311yescharacteristic
435C8×Dic83C2311yescharacteristic
436C2×D8×C83C2311yescharacteristic
437C4⋊Q8×C83C2311yescharacteristic
438C4⋊Q8×C83C2311yescharacteristic
439#125×C83C2311yescharacteristic
440#125×C83C2311yescharacteristic
441#125×C83C2311yescharacteristic
442#125×C83C2311yescharacteristic
443C22⋊Q8×C83—21no—
444C22⋊Q8×C83—21no—
445C22⋊Q8×C83—21no—
446C22⋊Q8×C83—21no—
447C22⋊Q8×C83—21no—
448C22⋊Q8×C83—21no—
449C4×Q8×C83C2311yescharacteristic
450C4×D4×C83C2311yescharacteristic
451C4×D4×C83C2311yescharacteristic
452C4×D4×C83C2311yescharacteristic
453C4×D4×C83C2311yescharacteristic
454C4×D4×C83C2311yescharacteristic
455C4×D4×C83C2311yescharacteristic
456C2×C4⋊C4×C83—21no—
457C2×C4⋊C4×C83—21no—
458#107×C83C2311yescharacteristic
459#107×C83C2311yescharacteristic
460#107×C83C2311yescharacteristic
461#107×C83C2311yescharacteristic
462#107×C83C2311yescharacteristic
463#106×C83C2311yescharacteristic
464#106×C83C2311yescharacteristic
465#106×C83C2311yescharacteristic
466#106×C83C2311yescharacteristic
467C4⋊C8×C83C2311yescharacteristic
468C4⋊C8×C83C2311yescharacteristic
469C4⋊C8×C83C2311yescharacteristic
470#102×C83C2311yescharacteristic
471#102×C83C2311yescharacteristic
472#102×C83C2311yescharacteristic
473#102×C83C2311yescharacteristic
474#102×C83C2311yescharacteristic
475#102×C83C2311yescharacteristic
476#97×C83C2311yescharacteristic
477#97×C83C2311yescharacteristic
478C4×C8×C83C2311yescharacteristic
479C23×D83—21no—
480C23×D83—21no—
481C2×Dic166—21no—
482C2×Dic166—21no—
483C2×Dic166—21no—
484C2×Dic166—21no—
485C2×Dic166—21no—
486C2×Dic166—21no—
487C2×Dic166—21no—
488C2×Dic166—21no—
489C2×Dic166—21no—
490C2×Dic166—21no—
491C2×Dic166—82no—
492C2×Dic166—82no—
493C2×Dic166C2×D411yescharacteristic
494C2×Dic166C2×D411yescharacteristic
495C2×Dic166C2×D411yescharacteristic
496Q8×D83—82no—
497Q8×D83—82no—
498C2×D332C2411yescharacteristic
499C2×D332C2411yescharacteristic
500C2×C22⋊D83—21no—
501C2×C22⋊D83—21no—
502D4×D83—22no—
503D4×D83—22no—
504D4×D83C2×Q814yescomplemented
505D4×D83C2×Q814yescomplemented
506C22×Dic83—21no—
507C22×Dic83—21no—
508C22×Dic83—21no—
509C22×Dic83—21no—
510C22×Dic83—21no—
511C22×Dic83—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—21no—
526C2×C4×D83—82no—
527C2×C4×D83—82no—
528C2×C4×D83C2×D411yescharacteristic
529C2×C4×D83C2×D411yescharacteristic
530C2×C4×D83C2411yescharacteristic
531D664C2×Q814yescomplemented
532#13050575C2×Q814yescomplemented
533#13050575C2×Q814yescomplemented
534#13050573—22no—
535#13050573—22no—
536C2×C83⋊C8C2411yescharacteristic
537C2×C83⋊C8C2411yescharacteristic
538C2×C83⋊C8C2411yescharacteristic
539C2×C83⋊C8C2411yescharacteristic
540C8×D83—22no—
541C8×D83C2×Q814yescomplemented
542C4⋊Dic83—21no—
543C4⋊Dic83—21no—
544C4⋊Dic83—21no—
545C4⋊Dic83—21no—
546C4⋊Dic83—21no—
547C4⋊Dic83—21no—
548C4⋊Dic83—21no—
549C4⋊Dic83—21no—
550C4⋊Dic83—21no—
551C4⋊Dic83—21no—
552C4⋊Dic83C2×D411yescharacteristic
553C4⋊Dic83C2×D411yescharacteristic
554C4⋊Dic83C2×D411yescharacteristic
555C4⋊Dic83C2411yescharacteristic
556C4⋊Dic83C2411yescharacteristic
557C4⋊Dic83C2411yescharacteristic
558C4⋊Dic83C2411yescharacteristic
559C4⋊Dic83C2411yescharacteristic
560C4⋊Dic83C2411yescharacteristic
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⋊C4C2×D411yescharacteristic
580Dic83⋊C4C2×D411yescharacteristic
581Dic83⋊C4C2×D411yescharacteristic
582Dic83⋊C4C2×D411yescharacteristic
583Dic83⋊C4C2×D411yescharacteristic
584Dic83⋊C4C2×D411yescharacteristic
585Dic83⋊C4C2×D411yescharacteristic
586Dic83⋊C4C2×D411yescharacteristic
587Dic83⋊C4C2×D411yescharacteristic
588Dic83⋊C4C2×D411yescharacteristic
589C22⋊Dic83—21no—
590C22⋊Dic83—21no—
591C22⋊Dic83—21no—
592C22⋊Dic83—21no—
593C22⋊Dic83—21no—
594C22⋊Dic83—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)⋊C4—21no—
601(C2×D83)⋊C4—21no—
602(C2×D83)⋊C4—21no—
603(C2×D83)⋊C4—21no—
604(C2×D83)⋊C4—21no—
605(C2×D83)⋊C4—21no—
606(C2×D83)⋊C4—21no—
607(C2×D83)⋊C4—21no—
608(C2×D83)⋊C4—21no—
609(C2×D83)⋊C4—21no—
610(C2×D83)⋊C4—21no—
611(C2×D83)⋊C4C2×D411yescharacteristic
612(C2×D83)⋊C4C2×D411yescharacteristic
613(C2×D83)⋊C4C2×D411yescharacteristic
614(C2×D83)⋊C4C2×D411yescharacteristic
615C4×Dic83—21no—
616C4×Dic83—21no—
617C4×Dic83—21no—
618C4×Dic83—21no—
619C4×Dic83C2×D411yescharacteristic
620C4×Dic83C2×D411yescharacteristic
621C4×Dic83C2411yescharacteristic
622C4×Dic83C2411yescharacteristic
623C4×Dic83C2411yescharacteristic
624C2×Q8×C83—21no—
625C2×Q8×C83—21no—
626C2×Q8×C83C2×D411yescharacteristic
627C2×D4×C83C2411yescharacteristic
628C2×D4×C83C2411yescharacteristic
629C22×C4×C83—21no—
630C22×C4×C83—21no—
631C22×C4×C83—21no—
632C22×C4×C83—21no—
633C22×C4×C83—21no—
634C22×C4×C83—21no—
635D8×C83C2×Q814yescomplemented
636C2×C8×C83C2411yescharacteristic
637C2×C8×C83C2411yescharacteristic
638C2×C8×C83C2411yescharacteristic
639C2×C8×C83C2411yescharacteristic
640C4⋊C4×C83—21no—
641C4⋊C4×C83—21no—
642C4⋊C4×C83—21no—
643C4⋊C4×C83—21no—
644C4⋊C4×C83—21no—
645C4⋊C4×C83—21no—
646C4⋊C4×C83—21no—
647C4⋊C4×C83—21no—
648C4⋊C4×C83—21no—
649C4⋊C4×C83—21no—
650C4⋊C4×C83C2×D411yescharacteristic
651C4⋊C4×C83C2×D411yescharacteristic
652C4⋊C4×C83C2×D411yescharacteristic
653C4⋊C4×C83C2411yescharacteristic
654C4⋊C4×C83C2411yescharacteristic
655C4⋊C4×C83C2411yescharacteristic
656C4⋊C4×C83C2411yescharacteristic
657C4⋊C4×C83C2411yescharacteristic
658C4⋊C4×C83C2411yescharacteristic
659C22⋊C4×C83—21no—
660C22⋊C4×C83—21no—
661C22⋊C4×C83—21no—
662C22⋊C4×C83—21no—
663C22⋊C4×C83—21no—
664C22⋊C4×C83—21no—
665C42×C83C2411yescharacteristic
666C42×C83C2411yescharacteristic
667C42×C83C2411yescharacteristic
668C23×C83—21no—
669C23×C83—21no—
670C22×D83—21no—
671C22×D83—21no—
672C22×D83—24no—
673C22×D83—24no—
674C22×D83—81no—
675C22×D83—81no—
676C22×D83—81no—
677C22×D83—81no—
678C22×D83C22×D411yescharacteristic
679Q8×C83—41no—
680Q8×C83—81no—
681Q8×C83—81no—
682D4×C83—21no—
683D4×C83—21no—
684D4×C83C22×Q812yes—
685D4×C83C22×Q812yes—
686C2×C4×C83—21no—
687C2×C4×C83—21no—
688C2×C4×C83—21no—
689C2×C4×C83—21no—
690C2×C4×C83—21no—
691C2×C4×C83—21no—
692C2×C4×C83—42no—
693C2×C4×C83—81no—
694C2×C4×C83—81no—
695C2×C4×C83—81no—
696C2×C4×C83—81no—
697C2×C4×C83—81no—
698C2×C4×C83C22×D411yescharacteristic
699C2×C4×C83C22×D411yescharacteristic
700C2×C4×C83C22×D411yescharacteristic
701C2×C4×C83C22×D411yescharacteristic
702C2×C4×C83C22×D411yescharacteristic
703C2×C4×C83C22×D411yescharacteristic
704C2×C4×C83C2511yescharacteristic
705C22⋊D83—24no—
706C22⋊D83—24no—
707C2×Dic83—21no—
708C2×Dic83—21no—
709C2×Dic83—21no—
710C2×Dic83—21no—
711C2×Dic83—21no—
712C2×Dic83—21no—
713C2×Dic83—42no—
714C2×Dic83—81no—
715C2×Dic83—81no—
716C2×Dic83—81no—
717C2×Dic83—81no—
718C2×Dic83—81no—
719C2×Dic83C22×D411yescharacteristic
720C2×Dic83C22×D411yescharacteristic
721C2×Dic83C22×D411yescharacteristic
722C2×Dic83C22×D411yescharacteristic
723C2×Dic83C22×D411yescharacteristic
724C2×Dic83C22×D411yescharacteristic
725C2×Dic83C22×D411yescharacteristic
726D332—21no—
727D332—21no—
728D332C22×Q812yes—
729D332C22×Q812yes—
730C4×D83—41no—
731C4×D83—41no—
732C4×D83—42no—
733C4×D83—42no—
734C4×D83—81no—
735C4×D83—81no—
736C4×D83—81no—
737C4×D83—81no—
738C4×D83—81no—
739C4×D83—81no—
740C4×D83—81no—
741C4×D83—81no—
742C4×D83—81no—
743C4×D83—81no—
744C4×D83—81no—
745C4×D83—81no—
746C4×D83C22×Q812yes—
747C4×D832−1+412yes—
748Dic166—41no—
749Dic166—41no—
750Dic166—41no—
751Dic166—42no—
752Dic166—42no—
753Dic166—81no—
754Dic166—81no—
755Dic166—81no—
756Dic166—81no—
757Dic166—81no—
758Dic166—81no—
759Dic166—81no—
760Dic166—81no—
761C8×C83—21no—
762C8×C83—21no—
763C8×C83—21no—
764C8×C83C22×Q812yes—
765C83⋊C8—21no—
766C83⋊C8—21no—
767C83⋊C8—21no—
768C83⋊C8C22×Q812yes—
769C22×C83—22no—
770C22×C83—22no—
771C22×C83—41no—
772C22×C83—41no—
773C22×C83—41no—
774C22×C83—41no—
775C22×C83C23×D411yescharacteristic
776C2×D83—21no—
777C2×D83—21no—
778C2×D83—22no—
779C2×D83—22no—
780C2×D83—41no—
781C2×D83—41no—
782C2×D83—41no—
783C2×D83—41no—
784C2×D83—84no—
785C2×D83—84no—
786C2×D83D4×Q812yes—
787C4×C83—21no—
788C4×C83—21no—
789C4×C83—21no—
790C4×C83—21no—
791C4×C83—21no—
792C4×C83—21no—
793C4×C83—41no—
794C4×C83—41no—
795C4×C83—41no—
796C4×C83—41no—
797C4×C83—41no—
798C4×C83—41no—
799C4×C83C23×Q811yescharacteristic
800C4×C83C2×2−1+411yescharacteristic
801Dic83—21no—
802Dic83—21no—
803Dic83—21no—
804Dic83—21no—
805Dic83—21no—
806Dic83—21no—
807Dic83—41no—
808Dic83—41no—
809Dic83—41no—
810Dic83—41no—
811Dic83—41no—
812Dic83—41no—
813Dic83D4×Q812yes—
814#61378—831nomaximal, Sylow
815C2×C83—42no—
816C2×C83—42no—
817C2×C83C2×D4×Q811yescharacteristic
818C2×C83#358511yescharacteristic
819C2×C83#358511yescharacteristic
820D83—22no—
821D83—42no—
822D83—42no—
823#3501—831no—
824#3501—831no—
825#3389—831no—
826#3389—831no—
827#3389—831no—
828#3389—831no—
829#3389—831no—
830#3389—831no—
831#3389—831no—
832#3389D8311yescharacteristic, complemented
833#3384—831no—
834#3384—831no—
835#3384—831no—
836#3384—831no—
837#3384—831no—
838#3384—831no—
839#3384—831no—
840#3384—831no—
841#3163—831no—
842#3163—831no—
843#3162—831no—
844#3081—831no—
845#3081—831no—
846#3081—831no—
847#3081—831no—
848#3077—831no—
849#3077—831no—
850#2961—831no—
851#2948—831no—
852#2948—831no—
853C2×#442—831no—
854C83#6137811yescharacteristic, complemented, Sylow
855C22×D8—831no—
856#554—831no—
857#554—831no—
858#554—831no—
859#554—831no—
860#554—831no—
861#554—831no—
862#554—831no—
863#554—831no—
864#554—831no—
865#554—831no—
866#554—1661no—
867#554—1661no—
868#554—1661no—
869#554—1661no—
870#554—1661no—
871#554—1661no—
872#554C2×D8311yescharacteristic, complemented
873#554C2×D8311yescharacteristic, complemented
874D4×Q8—831no—
875D4×Q8—831no—
876D4×Q8—831no—
877D4×Q8—831no—
878D4×Q8—1661no—
879D4×Q8—1661no—
880#544—831no—
881#544—831no—
882#544—831no—
883#544—831no—
884#543—1661no—
885#543—1661no—
886#543—1661no—
887#543—1661no—
888#533—831no—
889#533—831no—
890#533—831no—
891C2×C22⋊Q8—1661no—
892C2×C22⋊Q8—1661no—
893C2×C22⋊Q8—1661no—
894C2×C22⋊Q8—1661no—
895#518—831no—
896#518—831no—
897#518—831no—
898#518—831no—
899C2×C4×D4—831no—
900C2×C4×D4—831no—
901#501—831no—
902#501—831no—
903#501—831no—
904#501—831no—
905#501—831no—
906#501—831no—
907#501—831no—
908#501—831no—
909#501—831no—
910#501—831no—
911#501—831no—
912#501—831no—
913#501—831no—
914#501—831no—
915#501C2×D8311yescharacteristic, complemented
916#501C2×D8311yescharacteristic, complemented
917#499—831no—
918#499—831no—
919#499—831no—
920#499C2×D8311yescharacteristic, complemented
921#498—831no—
922#498—831no—
923#498—831no—
924#498—831no—
925#478—831no—
926#478—831no—
927#478—831no—
928#478—831no—
929#478—831no—
930#478—831no—
931#478—831no—
932#478—831no—
933#478—831no—
934#478—831no—
935#478—831no—
936#478—831no—
937#478—831no—
938#478—831no—
939#478—831no—
940#478—831no—
941#478—831no—
942#478—831no—
943#478—831no—
944#478—831no—
945#478C2×D8311yescharacteristic, complemented
946#478C2×D8311yescharacteristic, complemented
947#478C2×D8311yescharacteristic, complemented
948#478C2×D8311yescharacteristic, complemented
949#476—831no—
950#476—831no—
951#476—831no—
952#476—831no—
953#476—831no—
954#476—831no—
955#476—831no—
956#476—831no—
957#476—831no—
958#476—831no—
959#476—831no—
960#476—831no—
961#474—831no—
962#474—831no—
963#474—831no—
964#474—831no—
965#474—831no—
966#474—831no—
967#474—831no—
968#474—831no—
969#474—831no—
970#474—831no—
971#474C2×D8311yescharacteristic, complemented
972#474C2×D8311yescharacteristic, complemented
973#446—831no—
974#446—831no—
975#446—831no—
976#446—831no—
977#446—831no—
978#446—831no—
979#446—831no—
980#446C2×D8311yescharacteristic, complemented
981#442—831no—
982#442—831no—
983#442—831no—
984#442—831no—
985#442—831no—
986#442—831no—
987#442—831no—
988#442—831no—
989#442—831no—
990#442—831no—
991#442—831no—
992#442—831no—
993#442—831no—
994#442—831no—
995#442C2×D8311yescharacteristic
996#442C2×D8311yescharacteristic
997C4×D8—831no—
998C4×D8—831no—
999C4×D8—831no—
1000C4×D8—831no—
1001C4×D8—831no—
1002C4×D8—831no—
1003C4×D8—831no—
1004C4×D8C2×D8311yescharacteristic
1005#428—831no—
1006#428—831no—
1007#428—831no—
1008#428—831no—
1009#427—831no—
1010#427—831no—
1011#427—831no—
1012#427—831no—
1013C2×#106—831no—
1014#424—831no—
1015#424—831no—
1016#423—831no—
1017#418—831no—
1018#418—831no—
1019#418—831no—
1020#418—831no—
1021C2×#102—831no—
1022C2×#102—831no—
1023#405—831no—
1024#405—831no—
1025C2×#97—831no—
1026C22×Q8—1661no—
1027C22×Q8—1661no—
1028C22×Q8—1661no—
1029C22×Q8—1661no—
1030C22×D4—831no—
1031C22×D4—831no—
1032C23×C4—1661no—
1033C23×C4—1661no—
1034C2×D8—831no—
1035C2×D8—831no—
1036C2×D8—838no—
1037C2×D8—831no—
1038C2×D8C22×D8311yescharacteristic
1039C2×M16—831no—
1040C2×M16—831no—
1041C22×C8—831no—
1042C22×C8—831no—
1043C4⋊Q8—831no—
1044C4⋊Q8—831no—
1045C4⋊Q8—831no—
1046C4⋊Q8—831no—
1047C4⋊Q8—831no—
1048C4⋊Q8—831no—
1049C4⋊Q8—831no—
1050C4⋊Q8—831no—
1051C4⋊Q8—831no—
1052C4⋊Q8—831no—
1053C4⋊Q8—831no—
1054C4⋊Q8—831no—
1055C4⋊Q8—1661no—
1056C4⋊Q8—1661no—
1057C4⋊Q8—1661no—
1058C4⋊Q8—1661no—
1059C4⋊Q8C22×D8311yescharacteristic
1060C4⋊Q8C22×D8311yescharacteristic
1061#125—831no—
1062#125—831no—
1063#125—831no—
1064#125—831no—
1065#125—831no—
1066#125—831no—
1067#125—831no—
1068#125—831no—
1069#125—831no—
1070#125—831no—
1071#125—1661no—
1072#125—1661no—
1073#125—1661no—
1074#125—1661no—
1075#125C22×D8311yescharacteristic
1076#125C22×D8311yescharacteristic
1077#125C22×D8311yescharacteristic
1078#125C22×D8311yescharacteristic
1079C22⋊Q8—21no—
1080C22⋊Q8—21no—
1081C22⋊Q8—21no—
1082C22⋊Q8—21no—
1083C22⋊Q8—21no—
1084C22⋊Q8—21no—
1085C22⋊Q8—831no—
1086C22⋊Q8—831no—
1087C22⋊Q8—831no—
1088C22⋊Q8—831no—
1089C22⋊Q8—1661no—
1090C22⋊Q8—1661no—
1091C22⋊Q8—1661no—
1092C22⋊Q8—1661no—
1093C22⋊Q8—1661no—
1094C22⋊Q8—1661no—
1095C22⋊Q8—1661no—
1096C22⋊Q8—1661no—
1097C22⋊Q8—1661no—
1098C22⋊Q8—1661no—
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⋊Q8—1661no—
1118C22⋊Q8—1661no—
1119C22⋊Q8—1661no—
1120C22⋊Q8—1661no—
1121C22⋊Q8—1661no—
1122C22⋊Q8—1661no—
1123C22⋊Q8—1661no—
1124C22⋊Q8—1661no—
1125C22⋊Q8—1661no—
1126C22⋊Q8—1661no—
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—
1143C4×Q8—831no—
1144C4×Q8—831no—
1145C4×Q8—831no—
1146C4×Q8—1661no—
1147C4×Q8—1661no—
1148C4×Q8—1661no—
1149C4×Q8—1661no—
1150C4×Q8C22×D8311yescharacteristic
1151C4×D4—831no—
1152C4×D4—831no—
1153C4×D4—831no—
1154C4×D4—831no—
1155C4×D4—831no—
1156C4×D4—831no—
1157C4×D4—831no—
1158C4×D4—831no—
1159C4×D4—831no—
1160C4×D4—831no—
1161C4×D4—831no—
1162C4×D4—831no—
1163C4×D4—831no—
1164C4×D4—831no—
1165C4×D4—831no—
1166C4×D4—831no—
1167C4×D4—831no—
1168C4×D4—831no—
1169C4×D4—1661no—
1170C4×D4—1661no—
1171C4×D4—1661no—
1172C4×D4—1661no—
1173C4×D4—1661no—
1174C4×D4—1661no—
1175C4×D4—1661no—
1176C4×D4—1661no—
1177C4×D4—1661no—
1178C4×D4—1661no—
1179C4×D4—1661no—
1180C4×D4—1661no—
1181C4×D4C22×D8311yescharacteristic
1182C4×D4C22×D8311yescharacteristic
1183C4×D4C22×D8311yescharacteristic
1184C4×D4C22×D8311yescharacteristic
1185C4×D4C22×D8311yescharacteristic
1186C4×D4C22×D8311yescharacteristic
1187#117—831no—
1188#117—831no—
1189#117—831no—
1190#117—831no—
1191#117—831no—
1192#117—831no—
1193C2×C4⋊C4—21no—
1194C2×C4⋊C4—21no—
1195C2×C4⋊C4—831no—
1196C2×C4⋊C4—831no—
1197C2×C4⋊C4—1661no—
1198C2×C4⋊C4—1661no—
1199C2×C4⋊C4—1661no—
1200C2×C4⋊C4—1661no—
1201C2×C4⋊C4—1661no—
1202C2×C4⋊C4—1661no—
1203C2×C4⋊C4—1661no—
1204C2×C4⋊C4—1661no—
1205C2×C4⋊C4—1661no—
1206C2×C4⋊C4—1661no—
1207C2×C22⋊C4—1661no—
1208C2×C22⋊C4—1661no—
1209C2×C22⋊C4—1661no—
1210C2×C22⋊C4—1661no—
1211C2×C22⋊C4—1661no—
1212C2×C22⋊C4—1661no—
1213C2×C22⋊C4—1661no—
1214C2×C22⋊C4—1661no—
1215C2×C22⋊C4—1661no—
1216C2×C22⋊C4—1661no—
1217C2×C42—831no—
1218#107—831no—
1219#107—831no—
1220#107—831no—
1221#107—831no—
1222#107—831no—
1223#107—831no—
1224#107—831no—
1225#107—831no—
1226#107—831no—
1227#107—831no—
1228#107—831no—
1229#107C22×D8311yescharacteristic
1230#107C22×D8311yescharacteristic
1231#107C22×D8311yescharacteristic
1232#107C22×D8311yescharacteristic
1233#107C22×D8311yescharacteristic
1234#106—831no—
1235#106—831no—
1236#106—831no—
1237#106—831no—
1238#106—831no—
1239#106—831no—
1240#106—831no—
1241#106—831no—
1242#106—831no—
1243#106—831no—
1244#106—831no—
1245#106—831no—
1246#106—831no—
1247#106—831no—
1248#106—831no—
1249#106—831no—
1250#106C22×D8311yescharacteristic
1251#106C22×D8311yescharacteristic
1252#106C22×D8311yescharacteristic
1253#106C22×D8311yescharacteristic
1254C4⋊C8—831no—
1255C4⋊C8—831no—
1256C4⋊C8—831no—
1257C4⋊C8—831no—
1258C4⋊C8—831no—
1259C4⋊C8—831no—
1260C4⋊C8—831no—
1261C4⋊C8—831no—
1262C4⋊C8—831no—
1263C4⋊C8C22×D8311yescharacteristic
1264C4⋊C8C22×D8311yescharacteristic
1265C4⋊C8C22×D8311yescharacteristic
1266#102—831no—
1267#102—831no—
1268#102—831no—
1269#102—831no—
1270#102—831no—
1271#102—831no—
1272#102—831no—
1273#102—831no—
1274#102—831no—
1275#102—831no—
1276#102—831no—
1277#102—831no—
1278#102—831no—
1279#102—831no—
1280#102—831no—
1281#102—831no—
1282#102—831no—
1283#102—831no—
1284#102C22×D8311yescharacteristic
1285#102C22×D8311yescharacteristic
1286#102C22×D8311yescharacteristic
1287#102C22×D8311yescharacteristic
1288#102C22×D8311yescharacteristic
1289#102C22×D8311yescharacteristic
1290#97—831no—
1291#97—831no—
1292#97—831no—
1293#97—831no—
1294#97—831no—
1295#97—831no—
1296#97C22×D8311yescharacteristic
1297#97C22×D8311yescharacteristic
1298C4×C8—831no—
1299C4×C8—831no—
1300C4×C8—831no—
1301C4×C8C22×D8311yescharacteristic
1302C24—1661no—
1303C24—1661no—
1304C2×Q8—21no—
1305C2×Q8—21no—
1306C2×Q8—831no—
1307C2×Q8—831no—
1308C2×Q8—831no—
1309C2×Q8—6642no—
1310C2×Q8—6642no—
1311C2×Q8—6642no—
1312C2×Q8—6642no—
1313C2×Q8—1661no—
1314C2×Q8—1661no—
1315C2×Q8—1661no—
1316C2×Q8—1661no—
1317C2×Q8—1661no—
1318C2×Q8—1661no—
1319C2×Q8—1661no—
1320C2×Q8—1661no—
1321C2×Q8—1661no—
1322C2×Q8—1661no—
1323C2×Q8D4×D8311yescharacteristic
1324C2×D4—834no—
1325C2×D4—834no—
1326C2×D4—831no—
1327C2×D4—831no—
1328C2×D4—1662no—
1329C2×D4—1662no—
1330C2×D4—1661no—
1331C2×D4—1661no—
1332C2×D4C23×D8311yescharacteristic
1333C2×D4C23×D8311yescharacteristic
1334C22×C4—21no—
1335C22×C4—21no—
1336C22×C4—21no—
1337C22×C4—21no—
1338C22×C4—21no—
1339C22×C4—21no—
1340C22×C4—831no—
1341C22×C4—831no—
1342C22×C4—831no—
1343C22×C4—6642no—
1344C22×C4—6642no—
1345C22×C4—1661no—
1346C22×C4—1661no—
1347C22×C4—1661no—
1348C22×C4—1661no—
1349C22×C4—1661no—
1350C22×C4—1661no—
1351C22×C4—1661no—
1352C22×C4—1661no—
1353C22×C4—1661no—
1354C22×C4—1661no—
1355C22×C4—1661no—
1356C22×C4—1661no—
1357C22×C4—1661no—
1358C22×C4—1661no—
1359C22×C4—1661no—
1360C22×C4—1661no—
1361C22×C4—1661no—
1362C22×C4—1661no—
1363C22×C4—1661no—
1364C22×C4—1661no—
1365D8—834no—
1366D8—834no—
1367D8—834no—
1368D8Q8×D8314yescomplemented
1369M16—1662no—
1370M16—1662no—
1371C2×C8—831no—
1372C2×C8—834no—
1373C2×C8—831no—
1374C2×C8—831no—
1375C2×C8—831no—
1376C2×C8—1662no—
1377C2×C8C23×D8311yescharacteristic
1378C2×C8C23×D8311yescharacteristic
1379C2×C8C23×D8311yescharacteristic
1380C2×C8C23×D8311yescharacteristic
1381C4⋊C4—21no—
1382C4⋊C4—21no—
1383C4⋊C4—21no—
1384C4⋊C4—21no—
1385C4⋊C4—21no—
1386C4⋊C4—21no—
1387C4⋊C4—21no—
1388C4⋊C4—21no—
1389C4⋊C4—21no—
1390C4⋊C4—21no—
1391C4⋊C4—831no—
1392C4⋊C4—831no—
1393C4⋊C4—831no—
1394C4⋊C4—831no—
1395C4⋊C4—831no—
1396C4⋊C4—831no—
1397C4⋊C4—831no—
1398C4⋊C4—831no—
1399C4⋊C4—831no—
1400C4⋊C4—831no—
1401C4⋊C4—831no—
1402C4⋊C4—831no—
1403C4⋊C4—831no—
1404C4⋊C4—831no—
1405C4⋊C4—831no—
1406C4⋊C4—831no—
1407C4⋊C4—831no—
1408C4⋊C4—831no—
1409C4⋊C4—831no—
1410C4⋊C4—1661no—
1411C4⋊C4—1661no—
1412C4⋊C4—1661no—
1413C4⋊C4—1661no—
1414C4⋊C4—1661no—
1415C4⋊C4—1661no—
1416C4⋊C4—1661no—
1417C4⋊C4—1661no—
1418C4⋊C4—1661no—
1419C4⋊C4—1661no—
1420C4⋊C4—1661no—
1421C4⋊C4—1661no—
1422C4⋊C4—1661no—
1423C4⋊C4—1661no—
1424C4⋊C4—1661no—
1425C4⋊C4—1661no—
1426C4⋊C4—1661no—
1427C4⋊C4—1661no—
1428C4⋊C4—1661no—
1429C4⋊C4—1661no—
1430C4⋊C4—1661no—
1431C4⋊C4—1661no—
1432C4⋊C4—1661no—
1433C4⋊C4—1661no—
1434C4⋊C4—1661no—
1435C4⋊C4—1661no—
1436C4⋊C4—1661no—
1437C4⋊C4—1661no—
1438C4⋊C4D4×D8311yescharacteristic
1439C4⋊C4D4×D8311yescharacteristic
1440C4⋊C4D4×D8311yescharacteristic
1441C4⋊C4C23×D8311yescharacteristic
1442C4⋊C4C23×D8311yescharacteristic
1443C4⋊C4C23×D8311yescharacteristic
1444C4⋊C4C23×D8311yescharacteristic
1445C4⋊C4C23×D8311yescharacteristic
1446C4⋊C4C23×D8311yescharacteristic
1447C22⋊C4—21no—
1448C22⋊C4—21no—
1449C22⋊C4—21no—
1450C22⋊C4—21no—
1451C22⋊C4—21no—
1452C22⋊C4—21no—
1453C22⋊C4—831no—
1454C22⋊C4—831no—
1455C22⋊C4—831no—
1456C22⋊C4—831no—
1457C22⋊C4—1661no—
1458C22⋊C4—1661no—
1459C22⋊C4—1661no—
1460C22⋊C4—1661no—
1461C22⋊C4—1661no—
1462C22⋊C4—1661no—
1463C22⋊C4—1661no—
1464C22⋊C4—1661no—
1465C22⋊C4—1661no—
1466C22⋊C4—1661no—
1467C22⋊C4—1661no—
1468C22⋊C4—1661no—
1469C22⋊C4—1661no—
1470C22⋊C4—1661no—
1471C22⋊C4—1661no—
1472C22⋊C4—1661no—
1473C22⋊C4—1661no—
1474C22⋊C4—1661no—
1475C22⋊C4—1661no—
1476C22⋊C4—1661no—
1477C22⋊C4—1661no—
1478C22⋊C4—1661no—
1479C42—831no—
1480C42—831no—
1481C42—831no—
1482C42—831no—
1483C42—831no—
1484C42—1661no—
1485C42—1661no—
1486C42—1661no—
1487C42—1661no—
1488C42C23×D8311yescharacteristic
1489C42C23×D8311yescharacteristic
1490C42C23×D8311yescharacteristic
1491C23—21no—
1492C23—21no—
1493C23—831no—
1494C23—6641no—
1495C23—6641no—
1496C23—6641no—
1497C23—6641no—
1498C23—1664no—
1499C23—1664no—
1500C23—1661no—
1501C23—1661no—
1502Q8—41no—
1503Q8—81no—
1504Q8—81no—
1505Q8—3322no—
1506Q8—3321no—
1507Q8—3321no—
1508Q8—3321no—
1509Q8—3322no—
1510Q8—6641no—
1511Q8—6641no—
1512Q8—6641no—
1513Q8—6641no—
1514Q8—6641no—
1515Q8—6641no—
1516Q8—6641no—
1517Q8—6641no—
1518D4—21no—
1519D4—21no—
1520D4—832no—
1521D4—832no—
1522D4—1664no—
1523D4—1664no—
1524D4—1661no—
1525D4—1661no—
1526D4C2×Q8×D8312yes—
1527D4C2×Q8×D8312yes—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—21no—
1533C2×C4—21no—
1534C2×C4—42no—
1535C2×C4—81no—
1536C2×C4—81no—
1537C2×C4—81no—
1538C2×C4—81no—
1539C2×C4—81no—
1540C2×C4—3322no—
1541C2×C4—3321no—
1542C2×C4—3321no—
1543C2×C4—3322no—
1544C2×C4—3322no—
1545C2×C4—831no—
1546C2×C4—832no—
1547C2×C4—832no—
1548C2×C4—831no—
1549C2×C4—831no—
1550C2×C4—831no—
1551C2×C4—831no—
1552C2×C4—831no—
1553C2×C4—831no—
1554C2×C4—6641no—
1555C2×C4—6641no—
1556C2×C4—6641no—
1557C2×C4—6641no—
1558C2×C4—6641no—
1559C2×C4—6641no—
1560C2×C4—6641no—
1561C2×C4—6641no—
1562C2×C4—6641no—
1563C2×C4—6641no—
1564C2×C4—6641no—
1565C2×C4—6641no—
1566C2×C4—6641no—
1567C2×C4—6641no—
1568C2×C4—6641no—
1569C2×C4—6641no—
1570C2×C4—6641no—
1571C2×C4—1661no—
1572C2×C4—1661no—
1573C2×C4—1661no—
1574C2×C4—1661no—
1575C2×C4—1661no—
1576C2×C4—1661no—
1577C2×C4C2×D4×D8311yescharacteristic
1578C2×C4C2×D4×D8311yescharacteristic
1579C2×C4C2×D4×D8311yescharacteristic
1580C2×C4C2×D4×D8311yescharacteristic
1581C2×C4C2×D4×D8311yescharacteristic
1582C2×C4C2×D4×D8311yescharacteristic
1583C2×C4C24×D8311yescharacteristic
1584C8—21no—
1585C8—21no—
1586C8—21no—
1587C8—832no—
1588C8—1661no—
1589C8—1661no—
1590C8—1661no—
1591C8C2×Q8×D8312yes—
1592C22—22no—
1593C22—22no—
1594C22—41no—
1595C22—41no—
1596C22—41no—
1597C22—41no—
1598C22—3321no—
1599C22—3321no—
1600C22—3321no—
1601C22—3321no—
1602C22—832no—
1603C22—6644no—
1604C22—6644no—
1605C22—1662no—
1606C22—1662no—
1607C22—1661no—
1608C22—1661no—
1609C22C22×D4×D8311yescharacteristic
1610C4—21no—
1611C4—21no—
1612C4—21no—
1613C4—21no—
1614C4—21no—
1615C4—21no—
1616C4—41no—
1617C4—41no—
1618C4—41no—
1619C4—41no—
1620C4—41no—
1621C4—41no—
1622C4—3321no—
1623C4—3321no—
1624C4—3321no—
1625C4—3321no—
1626C4—3321no—
1627C4—3321no—
1628C4—832no—
1629C4—1661no—
1630C4—1661no—
1631C4—1661no—
1632C4—1661no—
1633C4—1661no—
1634C4—1661no—
1635C4C22×Q8×D8311yescharacteristic
1636C42−1+4×D8311yescharacteristic
1637C2—42no—
1638C2—42no—
1639C2—3322no—
1640C2—3322no—
1641C2—1662no—
1642C2D4×Q8×D8311yescharacteristic
1643C2#2492223811yescharacteristic
1644C2#2492224011yescharacteristic
subgroupG/H
centerC22C22×D4×D83
commutator, cosocleC2×C4×C83C25
FrattiniC2×C4C24×D83
FittingC83×#3389C2
socleC22×C83C23×D4
prime radicalC2×D8×D83C22
hypercenter#3389D83
hypocenterC83#61378
LCSG ▷ C2×C4×C83 ▷ C2×C83 ▷ C83
UCSC1 ◁ C22 ◁ C4×Q8 ◁ #3389

Complements

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

NH ≅ G/Ntype
1. #24921262C2semidirect
2. #24921260C2semidirect
3. #24920424C2semidirect
4. #24920422C2semidirect
5. #24920421C2semidirect
6. #24920420C2semidirect
7. #24920418C2semidirect
8. #24920417C2semidirect
9. #24920416C2semidirect
10. #24920366C2semidirect
11. #24920365C2semidirect
12. #24920365C2semidirect
13. #24920364C2semidirect
14. #24920363C2semidirect
15. #24920362C2semidirect
16. #24920360C2semidirect
17. #24920359C2semidirect
18. #24917992C2semidirect
19. #24917990C2semidirect
20. #24917984C2semidirect
21. #24917293C2semidirect
22. #24917293C2semidirect
23. #24917291C2semidirect
24. #24917287C2semidirect
25. #24917258C2semidirect
26. #24917255C2semidirect
27. #24916399C2semidirect
31. C83×#3389C2semidirect
33. #19128412C22semidirect
34. #19128411C22semidirect
35. #19128410C22semidirect
36. #19128410C22semidirect
39. #19128408C22semidirect
40. #19128408C22semidirect
41. #19128407C22semidirect
42. #19128407C22semidirect
43. #19128407C22semidirect
44. #19128407C22semidirect
49. Q8×D332C22semidirect
50. D4×Dic166C22semidirect
51. D4×Dic166C22semidirect
52. #19128366C22semidirect
76. #19128111C22semidirect
77. #19128111C22semidirect
78. #19128111C22semidirect
79. #19128110C22semidirect
80. #19128110C22semidirect
81. #19128109C22semidirect
82. #19128109C22semidirect
83. #19128109C22semidirect
84. #19128109C22semidirect
85. #19128109C22semidirect
86. #19128108C22semidirect
87. #19128108C22semidirect
88. #19128108C22semidirect
89. #19128107C22semidirect
90. #19128102C22semidirect
91. #19128101C22semidirect
92. #19128100C22semidirect
93. #19128099C22semidirect
94. #19128098C22semidirect
95. #19128098C22semidirect
96. #19128097C22semidirect
97. #19128004C22semidirect
98. #19128004C22semidirect
99. #19128004C22semidirect
100. #19128004C22semidirect
101. #19128003C22semidirect
102. #19128003C22semidirect
103. #19128003C22semidirect
104. #19128003C22semidirect
105. #19128002C22semidirect
106. #19128002C22semidirect
107. #19128001C22semidirect
108. #19128001C22semidirect
109. #19128000C22semidirect
110. #19128000C22semidirect
111. #19127999C22semidirect
112. #19127999C22semidirect
113. #19127998C22semidirect
114. #19127998C22semidirect
115. #19127998C22semidirect
116. #19127998C22semidirect
117. #19127992C22semidirect
118. #19127992C22semidirect
119. #19127992C22semidirect
120. #19127991C22semidirect
121. #19127991C22semidirect
122. #19127990C22semidirect
123. #19127990C22semidirect
124. #19127989C22semidirect
125. #19127989C22semidirect
126. #19127989C22semidirect
127. #19127989C22semidirect
128. #19127988C22semidirect
129. #19127982C22semidirect
130. #19127981C22semidirect
131. #19127981C22semidirect
132. #19127980C22semidirect
133. #19127980C22semidirect
134. #19127980C22semidirect
135. #19127980C22semidirect
136. #19127979C22semidirect
137. #19127979C22semidirect
138. #19127978C22semidirect
139. #19127832C22semidirect
140. #19127831C22semidirect
141. #19127830C22semidirect
142. #19127830C22semidirect
143. #19127829C22semidirect
144. #19127829C22semidirect
145. #19127828C22semidirect
188. #554×C83C22semidirect
189. #554×C83C22semidirect
190. #501×C83C22semidirect
191. #501×C83C22semidirect
192. #499×C83C22semidirect
193. #478×C83C22semidirect
194. #478×C83C22semidirect
195. #478×C83C22semidirect
196. #478×C83C22semidirect
197. #474×C83C22semidirect
198. #474×C83C22semidirect
199. #446×C83C22semidirect
214. D8×D83Q8semidirect
504. D4×D83C2×Q8semidirect
505. D4×D83C2×Q8semidirect
531. D664C2×Q8semidirect
532. #13050575C2×Q8semidirect
533. #13050575C2×Q8semidirect
541. C8×D83C2×Q8semidirect
635. D8×C83C2×Q8semidirect
832. #3389D83semidirect
854. C83#61378semidirect
872. #554C2×D83semidirect
873. #554C2×D83semidirect
915. #501C2×D83semidirect
916. #501C2×D83semidirect
920. #499C2×D83semidirect
945. #478C2×D83semidirect
946. #478C2×D83semidirect
947. #478C2×D83semidirect
948. #478C2×D83semidirect
971. #474C2×D83semidirect
972. #474C2×D83semidirect
980. #446C2×D83semidirect
1368. D8Q8×D83semidirect

Maximal subgroups

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

subgroupindex
#249212622
#249212602
#249204242
#249204222
#249204212
#249204202
#249204182
#249204172
#249204162
#249203662
#249203652
#249203642
#249203632
#249203622
#249203602
#249203592
#249179922
#249179902
#249179842
#249172932
#249172912
#249172872
#249172582
#249172552
#249163992
#249163122
#249163102
#442×D832
C83×#33892
#6137883