Finite Group Databasebeta

← #36285207

Subgroups — #36285207

Order 21248.

1794 conjugacy classes of subgroups.

The subgroup lattice has 1628 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#24921280C211yesmaximal, characteristic, complemented
2#24921262C211yesmaximal, characteristic, complemented
3#24920411C211yesmaximal, characteristic, complemented
4#24920409C211yesmaximal, characteristic, complemented
5#24920402C211yesmaximal, characteristic, complemented
6#24920376C211yesmaximal, characteristic, complemented
7#24920374C211yesmaximal, characteristic, complemented
8#24920365C211yesmaximal, characteristic, complemented
9#24920364C211yesmaximal, characteristic, complemented
10#24920362C211yesmaximal, characteristic, complemented
11#24920359C211yesmaximal, characteristic, complemented
12#24920359C211yesmaximal, characteristic, complemented
13#24920357C211yesmaximal, characteristic, complemented
14#24920327C211yesmaximal, characteristic, complemented
15#24920325C211yesmaximal, characteristic, complemented
16#24920322C211yesmaximal, characteristic, complemented
17SD16×Dic166C211yesmaximal, characteristic, complemented
18#24918008C211yesmaximal, characteristic, complemented
19#24917992C211yesmaximal, characteristic, complemented
20#24917990C211yesmaximal, characteristic, complemented
21#24917328C211yesmaximal, characteristic, complemented
22#24917322C211yesmaximal, characteristic, complemented
23#24917293C211yesmaximal, characteristic, complemented
24#24917291C211yesmaximal, characteristic, complemented
25#24917250C211yesmaximal, characteristic, complemented
26#476×D83C211yesmaximal, characteristic, complemented
27#24916408C211yesmaximal, characteristic, complemented
28#24916294C211yesmaximal, characteristic
29#24916290C211yesmaximal, characteristic
30#24916268C211yesmaximal, characteristic
31C83×#3388C211yesmaximal, characteristic, complemented
32C2×#14581819C2211yescharacteristic
33Q8×Dic166C2211yescharacteristic, complemented
34Q8×Dic166C2211yescharacteristic, complemented
35#19128430C2211yescharacteristic, complemented
36#19128411C2211yescharacteristic
37#19128410C2211yescharacteristic
38#19128410C2211yescharacteristic
39#19128407—21no—
40#19128407—21no—
41#19128407C2211yescharacteristic
42#19128407C2211yescharacteristic
43#19128407C2211yescharacteristic, complemented
44#19128407C2211yescharacteristic, complemented
45#19128406—21no—
46#19128405—21no—
47#19128405—21no—
48Q8×D332—21no—
49Q8×D332C2211yescharacteristic, complemented
50D4×Dic166C2211yescharacteristic
51#19128366—21no—
52#19128366C2211yescharacteristic
53#19128366C2211yescharacteristic, complemented
54#19128364—21no—
55#19128331—21no—
56#19128331—21no—
57#19128331C2211yescharacteristic
58#19128331C2211yescharacteristic
59#19128331C2211yescharacteristic
60#19128328C2211yescharacteristic
61#19128326—21no—
62#19128326—21no—
63#19128257C2211yescharacteristic
64#19128255—21no—
65#19128255C2211yescharacteristic
66C4⋊Q8×D83—21no—
67C4⋊Q8×D83C2211yescharacteristic
68C2×#14581770—21no—
69C22⋊Q8×D83—21no—
70#19128183C2211yescharacteristic
71#19128183C2211yescharacteristic
72#19128173C2211yescharacteristic
73#19128173C2211yescharacteristic
74C4×#13050591C2211yescharacteristic
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#19128108C2211yescharacteristic, complemented
85#19128107C2211yescharacteristic, complemented
86#19128105C2211yescharacteristic, complemented
87#19128105C2211yescharacteristic, complemented
88#19128102C2211yescharacteristic, complemented
89#19128101C2211yescharacteristic, complemented
90#19128100C2211yescharacteristic, complemented
91#19128099C2211yescharacteristic, complemented
92#19128098C2211yescharacteristic, complemented
93#19128098C2211yescharacteristic, complemented
94#19128098C2211yescharacteristic, complemented
95#19128098C2211yescharacteristic, complemented
96#19128097C2211yescharacteristic, complemented
97#19128010C2211yescharacteristic, complemented
98#19128008C2211yescharacteristic, complemented
99#19128008C2211yescharacteristic, complemented
100#19128006C2211yescharacteristic, complemented
101#19128004C2211yescharacteristic
102#19128004C2211yescharacteristic, complemented
103#19128003C2211yescharacteristic
104#19128002C2211yescharacteristic, complemented
105#19128002C2211yescharacteristic, complemented
106#19128000C2211yescharacteristic
107#19128000C2211yescharacteristic, complemented
108#19127999C2211yescharacteristic
109#19127998C2211yescharacteristic
110#19127998C2211yescharacteristic
111#19127998C2211yescharacteristic, complemented
112#19127998C2211yescharacteristic, complemented
113#19127994C2211yescharacteristic, complemented
114#19127992C2211yescharacteristic
115#19127992C2211yescharacteristic
116#19127992C2211yescharacteristic, complemented
117#19127991C2211yescharacteristic
118#19127991C2211yescharacteristic
119#19127990C2211yescharacteristic
120#19127990C2211yescharacteristic
121#19127990C2211yescharacteristic
122#19127990C2211yescharacteristic, complemented
123#19127990C2211yescharacteristic, complemented
124#19127990C2211yescharacteristic, complemented
125#19127989C2211yescharacteristic
126#19127989C2211yescharacteristic
127#19127989C2211yescharacteristic
128#19127988C2211yescharacteristic
129#19127988C2211yescharacteristic, complemented
130#19127986C2211yescharacteristic, complemented
131#19127984C2211yescharacteristic, complemented
132#19127984C2211yescharacteristic, complemented
133#19127984C2211yescharacteristic, complemented
134#19127982C2211yescharacteristic
135#19127981C2211yescharacteristic
136#19127980C2211yescharacteristic
137#19127980C2211yescharacteristic, complemented
138#19127979C2211yescharacteristic
139#19127832C2211yescharacteristic, complemented
140#19127830C2211yescharacteristic, complemented
141#19127830C2211yescharacteristic, complemented
142#19127829C2211yescharacteristic, complemented
143#19127829C2211yescharacteristic, complemented
144C8×Dic166C2211yescharacteristic, complemented
145#19127825C2211yescharacteristic, complemented
146#19127814C2211yescharacteristic
147#19127814C2211yescharacteristic
148#19127812C2211yescharacteristic
149#19127811C2211yescharacteristic
150#19127811C2211yescharacteristic
151#19127810C2211yescharacteristic
152#19127804C2211yescharacteristic
153#19127802C2211yescharacteristic
154#19127799C2211yescharacteristic
155#19127799C2211yescharacteristic
156SD16×Dic83C2211yescharacteristic
157SD16×Dic83C2211yescharacteristic
158C4×#13050577C2211yescharacteristic
159#19127786C2211yescharacteristic
160#19127786C2211yescharacteristic
161C4×D664C2211yescharacteristic
162#19127783C2211yescharacteristic
163#19127783C2211yescharacteristic
164C4×#13050575C2211yescharacteristic
165#19127781C2211yescharacteristic
166#19127781C2211yescharacteristic
167#19127742C2211yescharacteristic
168#19127742C2211yescharacteristic
169#19127742C2211yescharacteristic
170#19127740C2211yescharacteristic
171#19127740C2211yescharacteristic
172#19127738C2211yescharacteristic
173#19127736C2211yescharacteristic
174#106×D83C2211yescharacteristic
175#106×D83C2211yescharacteristic
176#19127726C2211yescharacteristic
177#19127726C2211yescharacteristic
178C4⋊C8×D83C2211yescharacteristic
179#19127704C2211yescharacteristic
180#19127701C2211yescharacteristic
181#19127696C2211yescharacteristic
182#19127696C2211yescharacteristic
183#102×D83C2211yescharacteristic
184#102×D83C2211yescharacteristic
185#19127658C2211yescharacteristic
186#19127655C2211yescharacteristic
187#19127653C2211yescharacteristic
188#557×C83C2211yescharacteristic, complemented
189#554×C83C2211yescharacteristic
190#501×C83C2211yescharacteristic, complemented
191#501×C83C2211yescharacteristic, complemented
192#499×C83C2211yescharacteristic, complemented
193#479×C83C2211yescharacteristic, complemented
194#479×C83C2211yescharacteristic, complemented
195#478×C83C2211yescharacteristic
196#478×C83C2211yescharacteristic
197#476×C83C2211yescharacteristic
198#475×C83C2211yescharacteristic, complemented
199#446×C83C2211yescharacteristic, complemented
200#440×C83C2211yescharacteristic
201#440×C83C2211yescharacteristic
202C4×SD16×C83C2211yescharacteristic
203C2×#13050591C2311yescharacteristic
204C22×Dic166—21no—
205C2×Q8×D83—21no—
206C2×Q8×D83—21no—
207C2×Q8×D83—21no—
208C2×Q8×D83—21no—
209C2×D4×D83C2311yescharacteristic
210C22×C4×D83—21no—
211#14581819Q818yescomplemented
212C2×#13050577C2311yescharacteristic
213C2×D664C2311yescharacteristic
214C2×#13050575C2311yescharacteristic
215C2×#13050573C2311yescharacteristic
216C2×#13050573C2311yescharacteristic
217C2×C8×D83C2311yescharacteristic
218C2×C8×D83C2311yescharacteristic
219#14581792—21no—
220#14581792—21no—
221#14581792—21no—
222#14581792C2311yescharacteristic
223#14581792C2311yescharacteristic
224#14581792C2311yescharacteristic
225#14581792C2311yescharacteristic
226#14581791—21no—
227#14581791—21no—
228#14581791—21no—
229#14581791—21no—
230#14581791—21no—
231#14581791—21no—
232#14581791—21no—
233#14581791—21no—
234#14581791D411yescharacteristic
235#14581791C2311yescharacteristic
236#14581791C2311yescharacteristic
237#14581791C2311yescharacteristic
238#14581791C2311yescharacteristic
239#14581791C2311yescharacteristic
240#14581791C2311yescharacteristic
241#14581791C2311yescharacteristic
242#14581791C2311yescharacteristic
243#14581790—21no—
244#14581790—21no—
245#14581790D411yescharacteristic
246#14581784C2311yescharacteristic
247#14581784C2311yescharacteristic
248#14581783—21no—
249#14581783—21no—
250#14581783C2311yescharacteristic
251#14581783C2311yescharacteristic
252#14581783C2311yescharacteristic
253#14581783C2311yescharacteristic
254#14581782—21no—
255#14581782—21no—
256#14581782—21no—
257#14581782—21no—
258#14581782D411yescharacteristic
259#14581782D411yescharacteristic
260#14581772—21no—
261#14581772—21no—
262#14581772—21no—
263#14581772—21no—
264#14581772—21no—
265#14581772—21no—
266#14581772—21no—
267#14581772—21no—
268#14581772—21no—
269#14581772—21no—
270#14581772D411yescharacteristic
271#14581771—21no—
272#14581771—21no—
273#14581771—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#14581770—21no—
287#14581770—21no—
288#14581770—21no—
289#14581770—21no—
290#14581770—21no—
291#14581770—21no—
292#14581770—21no—
293#14581770—21no—
294#14581770D411yescharacteristic
295#14581770D411yescharacteristic
296#14581769—21no—
297#14581769—21no—
298#14581769—21no—
299#14581769—21no—
300#14581769—21no—
301#14581769—21no—
302#14581768—21no—
303#14581768—21no—
304#14581768—21no—
305#14581768—21no—
306#14581768D411yescharacteristic
307Q8×Dic83C2311yescharacteristic
308Q8×Dic83C2311yescharacteristic
309Q8×Dic83C2311yescharacteristic
310C4×Dic166—21no—
311C4×Dic166—21no—
312C4×Dic166—21no—
313C4×Dic166C2311yescharacteristic
314C4×Dic166C2311yescharacteristic
315C4×Dic166C2311yescharacteristic
316#14581757—21no—
317#14581757—21no—
318C4×D332—21no—
319C4×D332—21no—
320C4×D332—21no—
321C4×D332C2311yescharacteristic
322C4×D332C2311yescharacteristic
323C4×D332C2311yescharacteristic
324C4×D332C2311yescharacteristic
325C4×D332C2311yescharacteristic
326C4×D332C2311yescharacteristic
327D4×Dic83C2311yescharacteristic
328D4×Dic83C2311yescharacteristic
329D4×Dic83C2311yescharacteristic
330#14581754—21no—
331#14581754—21no—
332#14581754—21no—
333#14581754C2311yescharacteristic
334#14581754C2311yescharacteristic
335#14581754C2311yescharacteristic
336#14581754C2311yescharacteristic
337#14581754C2311yescharacteristic
338#14581754C2311yescharacteristic
339C4×C22⋊D83—21no—
340C4×C22⋊D83—21no—
341C4×C22⋊D83—21no—
342(C22⋊D83)⋊C4—21no—
343(C22⋊D83)⋊C4—21no—
344(C22⋊D83)⋊C4—21no—
345#14581750—21no—
346#14581750C2311yescharacteristic
347#14581750C2311yescharacteristic
348#14581750C2311yescharacteristic
349#14581749—21no—
350#14581749—21no—
351#14581749C2311yescharacteristic
352#14581749C2311yescharacteristic
353C2×Dic83⋊C4—21no—
354C2×Dic83⋊C4—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×D83—21no—
362C4⋊C4×D83—21no—
363C4⋊C4×D83C2311yescharacteristic
364C4⋊C4×D83C2311yescharacteristic
365C4⋊C4×D83C2311yescharacteristic
366C2×(C2×D83)⋊C4—21no—
367C2×(C2×D83)⋊C4—21no—
368C22⋊C4×D83—21no—
369C22⋊C4×D83—21no—
370C22⋊C4×D83—21no—
371C42×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#14581724C2311yescharacteristic
384#14581724C2311yescharacteristic
385#14581724C2311yescharacteristic
386#14581724C2311yescharacteristic
387#14581724C2311yescharacteristic
388#14581724C2311yescharacteristic
389#14581723C2311yescharacteristic
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#14581716C2311yescharacteristic
410#14581716C2311yescharacteristic
411#14581716C2311yescharacteristic
412#14581714C2311yescharacteristic
413#14581714C2311yescharacteristic
414#14581714C2311yescharacteristic
415#14581714C2311yescharacteristic
416#14581714C2311yescharacteristic
417#14581714C2311yescharacteristic
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
431C4×C83⋊C8C2311yescharacteristic
432C8×Dic83C2311yescharacteristic
433C8×Dic83C2311yescharacteristic
434C8×Dic83C2311yescharacteristic
435C8×Dic83C2311yescharacteristic
436C2×SD16×C83C2311yescharacteristic
437C4⋊Q8×C83—21no—
438C4⋊Q8×C83C2311yescharacteristic
439C4⋊Q8×C83C2311yescharacteristic
440#125×C83—21no—
441#125×C83—21no—
442#125×C83C2311yescharacteristic
443#125×C83C2311yescharacteristic
444#125×C83C2311yescharacteristic
445#125×C83C2311yescharacteristic
446C22⋊Q8×C83—21no—
447C22⋊Q8×C83—21no—
448C22⋊Q8×C83—21no—
449C4×Q8×C83—21no—
450C4×Q8×C83C2311yescharacteristic
451C4×Q8×C83C2311yescharacteristic
452C4×Q8×C83C2311yescharacteristic
453C4×Q8×C83C2311yescharacteristic
454C4×D4×C83C2311yescharacteristic
455C4×D4×C83C2311yescharacteristic
456C4×D4×C83C2311yescharacteristic
457C2×C4⋊C4×C83—21no—
458#107×C83C2311yescharacteristic
459#107×C83C2311yescharacteristic
460#107×C83C2311yescharacteristic
461#107×C83C2311yescharacteristic
462#106×C83C2311yescharacteristic
463#106×C83C2311yescharacteristic
464#106×C83C2311yescharacteristic
465#106×C83C2311yescharacteristic
466#106×C83C2311yescharacteristic
467C4⋊C8×C83C2311yescharacteristic
468C4⋊C8×C83C2311yescharacteristic
469C4⋊C8×C83C2311yescharacteristic
470#103×C83C2311yescharacteristic
471#103×C83C2311yescharacteristic
472#103×C83C2311yescharacteristic
473#102×C83C2311yescharacteristic
474#102×C83C2311yescharacteristic
475#102×C83C2311yescharacteristic
476#97×C83C2311yescharacteristic
477#97×C83C2311yescharacteristic
478C4×C8×C83C2311yescharacteristic
479C23×D83—21no—
480#13050591—22no—
481#13050591C2×Q814yescomplemented
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—21no—
492C2×Dic166—21no—
493C2×Dic166—21no—
494C2×Dic166—82no—
495C2×Dic166C2×D411yescharacteristic
496C2×Dic166C2×D411yescharacteristic
497C2×Dic166C2×D411yescharacteristic
498Q8×D83—82no—
499Q8×D83—82no—
500Q8×D83—82no—
501Q8×D83—82no—
502C2×D332—21no—
503C2×D332C2411yescharacteristic
504C2×D332C2411yescharacteristic
505C2×C22⋊D83—21no—
506D4×D83—22no—
507D4×D83C2×Q814yescomplemented
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—21no—
526C2×C4×D83—21no—
527C2×C4×D83—82no—
528C2×C4×D83C2×D411yescharacteristic
529C2×C4×D83C2×D411yescharacteristic
530C2×C4×D83C2411yescharacteristic
531#13050577C2×Q814yescomplemented
532D664C2×Q814yescomplemented
533#13050575C2×Q814yescomplemented
534#13050573—22no—
535#13050573C2×Q814yescomplemented
536C2×C83⋊C8C2411yescharacteristic
537C2×C83⋊C8C2411yescharacteristic
538C2×C83⋊C8C2411yescharacteristic
539C2×C83⋊C8C2411yescharacteristic
540C8×D83—22no—
541C8×D83—22no—
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⋊Dic83—21no—
553C4⋊Dic83C2×D411yescharacteristic
554C4⋊Dic83C2×D411yescharacteristic
555C4⋊Dic83C2×D411yescharacteristic
556C4⋊Dic83C2411yescharacteristic
557C4⋊Dic83C2411yescharacteristic
558C4⋊Dic83C2411yescharacteristic
559C4⋊Dic83C2411yescharacteristic
560C4⋊Dic83C2411yescharacteristic
561C4⋊Dic83C2411yescharacteristic
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⋊C4C2×D411yescharacteristic
582Dic83⋊C4C2×D411yescharacteristic
583Dic83⋊C4C2×D411yescharacteristic
584Dic83⋊C4C2×D411yescharacteristic
585Dic83⋊C4C2×D411yescharacteristic
586Dic83⋊C4C2×D411yescharacteristic
587Dic83⋊C4C2×D411yescharacteristic
588Dic83⋊C4C2×D411yescharacteristic
589Dic83⋊C4C2×D411yescharacteristic
590Dic83⋊C4C2×D411yescharacteristic
591C22⋊Dic83—21no—
592C22⋊Dic83—21no—
593C22⋊Dic83—21no—
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)⋊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)⋊C4C2×D411yescharacteristic
610(C2×D83)⋊C4C2×D411yescharacteristic
611(C2×D83)⋊C4C2×D411yescharacteristic
612(C2×D83)⋊C4C2×D411yescharacteristic
613C4×Dic83—21no—
614C4×Dic83—21no—
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×Q8×C83C2411yescharacteristic
628C2×D4×C83C2411yescharacteristic
629C22×C4×C83—21no—
630C22×C4×C83—21no—
631C22×C4×C83—21no—
632SD16×C83C2×Q814yescomplemented
633C2×C8×C83C2411yescharacteristic
634C2×C8×C83C2411yescharacteristic
635C2×C8×C83C2411yescharacteristic
636C2×C8×C83C2411yescharacteristic
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×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—
662C42×C83—21no—
663C42×C83—21no—
664C42×C83—21no—
665C42×C83C2411yescharacteristic
666C42×C83C2411yescharacteristic
667C42×C83C2411yescharacteristic
668C23×C83—21no—
669C22×D83—21no—
670C22×D83—21no—
671C22×D83—24no—
672C22×D83—81no—
673C22×D83—81no—
674C22×D83C22×D411yescharacteristic
675Q8×C83—21no—
676Q8×C83—41no—
677Q8×C83—42no—
678Q8×C83—81no—
679Q8×C83C22×Q812yes—
680D4×C83—21no—
681D4×C83C22×Q812yes—
682C2×C4×C83—21no—
683C2×C4×C83—21no—
684C2×C4×C83—21no—
685C2×C4×C83—21no—
686C2×C4×C83—21no—
687C2×C4×C83—21no—
688C2×C4×C83—21no—
689C2×C4×C83—81no—
690C2×C4×C83—81no—
691C2×C4×C83—81no—
692C2×C4×C83C22×D411yescharacteristic
693C2×C4×C83C22×D411yescharacteristic
694C2×C4×C83C22×D411yescharacteristic
695C2×C4×C83C22×D411yescharacteristic
696C2×C4×C83C22×D411yescharacteristic
697C2×C4×C83C22×D411yescharacteristic
698C2×C4×C83C2511yescharacteristic
699C22⋊D83—24no—
700C2×Dic83—21no—
701C2×Dic83—21no—
702C2×Dic83—21no—
703C2×Dic83—21no—
704C2×Dic83—21no—
705C2×Dic83—21no—
706C2×Dic83—42no—
707C2×Dic83—81no—
708C2×Dic83—81no—
709C2×Dic83C22×D411yescharacteristic
710C2×Dic83C22×D411yescharacteristic
711C2×Dic83C22×D411yescharacteristic
712C2×Dic83C22×D411yescharacteristic
713C2×Dic83C22×D411yescharacteristic
714C2×Dic83C22×D411yescharacteristic
715C2×Dic83C22×D411yescharacteristic
716D332—24no—
717D332—21no—
718D332—21no—
719D332C22×Q812yes—
720D332C22×Q812yes—
721C4×D83—24no—
722C4×D83—22no—
723C4×D83—41no—
724C4×D83—42no—
725C4×D83—42no—
726C4×D83—42no—
727C4×D83—81no—
728C4×D83—81no—
729C4×D83—81no—
730C4×D83—81no—
731C4×D83—81no—
732C4×D83—81no—
733C4×D83—81no—
734C4×D83—81no—
735C4×D83—81no—
736C4×D83—81no—
737C4×D83—81no—
738C4×D83—81no—
739C4×D83C22×Q812yes—
740C4×D832−1+412yes—
741Dic166—22no—
742Dic166—22no—
743Dic166—41no—
744Dic166—42no—
745Dic166—42no—
746Dic166—81no—
747Dic166—81no—
748Dic166—81no—
749Dic166—81no—
750Dic166—81no—
751Dic166—81no—
752Dic166—81no—
753Dic166—81no—
754Dic166—81no—
755Dic166—81no—
756C8×C83—21no—
757C8×C83—21no—
758C8×C83—21no—
759C8×C83C22×Q812yes—
760C83⋊C8—21no—
761C83⋊C8—21no—
762C83⋊C8—21no—
763C83⋊C8C22×Q812yes—
764C22×C83—22no—
765C22×C83—41no—
766C22×C83—41no—
767C22×C83C23×D411yescharacteristic
768C2×D83—21no—
769C2×D83—21no—
770C2×D83—22no—
771C2×D83—22no—
772C2×D83—41no—
773C2×D83—41no—
774C2×D83—41no—
775C2×D83—41no—
776C2×D83—84no—
777C2×D83D4×Q812yes—
778C4×C83—21no—
779C4×C83—21no—
780C4×C83—21no—
781C4×C83—22no—
782C4×C83—21no—
783C4×C83—21no—
784C4×C83—21no—
785C4×C83—41no—
786C4×C83—41no—
787C4×C83—41no—
788C4×C83—41no—
789C4×C83—41no—
790C4×C83—41no—
791C4×C83C23×Q811yescharacteristic
792C4×C83C2×2−1+411yescharacteristic
793Dic83—21no—
794Dic83—21no—
795Dic83—21no—
796Dic83—21no—
797Dic83—21no—
798Dic83—41no—
799Dic83—41no—
800Dic83—41no—
801Dic83—41no—
802Dic83—41no—
803Dic83—41no—
804Dic83D4×Q812yes—
805Dic83#57712yes—
806#61382—831nomaximal, Sylow
807C2×C83—42no—
808C2×C83C2×D4×Q811yescharacteristic
809C2×C83C2×#57711yescharacteristic
810C2×C83#358511yescharacteristic
811D83—22no—
812D83—42no—
813D83—42no—
814#3503—831no—
815#3501—831no—
816#3388—831no—
817#3388—831no—
818#3388—831no—
819#3388D8311yescharacteristic, complemented
820#3385—831no—
821#3385—831no—
822#3384—831no—
823#3384—831no—
824#3384—831no—
825#3384—831no—
826#3384—831no—
827#3384—831no—
828#3380—831no—
829#3380—831no—
830Q8×SD16—831no—
831Q8×SD16—831no—
832#3165—831no—
833#3163—831no—
834#3163—831no—
835#3084—831no—
836#3084—831no—
837#3081—831no—
838#3081—831no—
839#3076—831no—
840C2×#476—831no—
841#2962—831no—
842#2946—831no—
843#2946—831no—
844C4×AGL(1,ℤ/8)—831no—
845C83#6138211yescharacteristic, complemented, Sylow
846C2×AGL(1,ℤ/8)—831no—
847Q82—831no—
848Q82—831no—
849#557—831no—
850#557C2×D8311yescharacteristic, complemented
851#554—831no—
852#554—831no—
853#554—831no—
854#554—831no—
855#554—831no—
856#554—831no—
857#554—831no—
858#554—1661no—
859#554—1661no—
860#554—1661no—
861#554—1661no—
862#554—1661no—
863#554C2×D8311yescharacteristic
864D4×Q8—831no—
865D4×Q8—831no—
866D4×Q8—831no—
867D4×Q8—831no—
868D4×Q8—1661no—
869D4×Q8—1661no—
870D4×Q8—1661no—
871#544—831no—
872#544—831no—
873#544—831no—
874#544—831no—
875#544—1661no—
876#544—1661no—
877#543—1661no—
878#543—1661no—
879#533—831no—
880#533—831no—
881#533—1661no—
882C2×C4⋊Q8—831no—
883C2×C4⋊Q8—1661no—
884C2×C22⋊Q8—1661no—
885C2×C22⋊Q8—1661no—
886#520—831no—
887#520—831no—
888#518—831no—
889#518—831no—
890C4×#41—831no—
891C2×C4×D4—831no—
892#501—831no—
893#501—831no—
894#501—831no—
895#501—831no—
896#501—831no—
897#501—831no—
898#501—831no—
899#501—831no—
900#501—831no—
901#501—831no—
902#501C2×D8311yescharacteristic, complemented
903#501C2×D8311yescharacteristic, complemented
904#500—831no—
905#500—831no—
906#499—831no—
907#499—831no—
908#499—831no—
909#499C2×D8311yescharacteristic, complemented
910#498—831no—
911#498—831no—
912#498—831no—
913#498—831no—
914#498—831no—
915#498—831no—
916#479—831no—
917#479—831no—
918#479—831no—
919#479—831no—
920#479C2×D8311yescharacteristic, complemented
921#479C2×D8311yescharacteristic, complemented
922#478—831no—
923#478—831no—
924#478—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#478C2×D8311yescharacteristic
935#478C2×D8311yescharacteristic
936#477—831no—
937#476—831no—
938#476—831no—
939#476—831no—
940#476—831no—
941#476—831no—
942#476—831no—
943#476—831no—
944#476—831no—
945#476—831no—
946#476—831no—
947#476—831no—
948#476—831no—
949#476—831no—
950#476—831no—
951#476—831no—
952#476—831no—
953#476C2×D8311yescharacteristic
954#475—831no—
955#475—831no—
956#475—831no—
957#475—831no—
958#475C2×D8311yescharacteristic, complemented
959#474—831no—
960#474—831no—
961#474—831no—
962#474—831no—
963#474—831no—
964#446—831no—
965#446—831no—
966#446—831no—
967#446—831no—
968#446—831no—
969#446C2×D8311yescharacteristic, complemented
970C8×Q8—831no—
971C8×Q8—831no—
972#442—831no—
973#442—831no—
974#442—831no—
975#442—831no—
976#442—831no—
977#442—831no—
978#440—831no—
979#440—831no—
980#440—831no—
981#440—831no—
982#440C2×D8311yescharacteristic
983#440C2×D8311yescharacteristic
984C4×SD16—831no—
985C4×SD16—831no—
986C4×SD16—831no—
987C4×SD16—831no—
988C4×SD16—831no—
989C4×SD16C2×D8311yescharacteristic
990C4×D8—831no—
991C4×D8—831no—
992C4×D8—831no—
993C4×D8—831no—
994C4×D8—831no—
995C4×D8—831no—
996#428—831no—
997#428—831no—
998#428—831no—
999#428—831no—
1000#428—831no—
1001#427—831no—
1002#427—831no—
1003C2×#106—831no—
1004C2×#106—831no—
1005#424—831no—
1006#424—831no—
1007C2×C4⋊C8—831no—
1008#418—831no—
1009#417—831no—
1010#416—831no—
1011#416—831no—
1012C2×#102—831no—
1013C2×#102—831no—
1014#405—831no—
1015#405—831no—
1016C4×M16—831no—
1017C2×#41—831no—
1018C22×Q8—1661no—
1019C22×Q8—1661no—
1020C22×Q8—1661no—
1021C22×Q8—1661no—
1022C22×Q8—1661no—
1023C22×D4—831no—
1024C23×C4—1661no—
1025AGL(1,ℤ/8)—838no—
1026C2×SD16—831no—
1027C2×SD16C22×D8311yescharacteristic
1028C2×D8—831no—
1029C2×D8—831no—
1030C2×M16—831no—
1031C2×M16—831no—
1032C22×C8—831no—
1033C22×C8—831no—
1034C4⋊Q8—21no—
1035C4⋊Q8—831no—
1036C4⋊Q8—831no—
1037C4⋊Q8—831no—
1038C4⋊Q8—831no—
1039C4⋊Q8—831no—
1040C4⋊Q8—831no—
1041C4⋊Q8—831no—
1042C4⋊Q8—831no—
1043C4⋊Q8—831no—
1044C4⋊Q8—831no—
1045C4⋊Q8—831no—
1046C4⋊Q8—831no—
1047C4⋊Q8—831no—
1048C4⋊Q8—831no—
1049C4⋊Q8—1661no—
1050C4⋊Q8—1661no—
1051C4⋊Q8—1661no—
1052C4⋊Q8—1661no—
1053C4⋊Q8—1661no—
1054C4⋊Q8—1661no—
1055C4⋊Q8—1661no—
1056C4⋊Q8—1661no—
1057C4⋊Q8—1661no—
1058C4⋊Q8—1661no—
1059C4⋊Q8—1661no—
1060C4⋊Q8—1661no—
1061C4⋊Q8—1661no—
1062C4⋊Q8C22×D8311yescharacteristic
1063C4⋊Q8C22×D8311yescharacteristic
1064#125—21no—
1065#125—21no—
1066#125—831no—
1067#125—831no—
1068#125—831no—
1069#125—831no—
1070#125—831no—
1071#125—831no—
1072#125—831no—
1073#125—831no—
1074#125—1661no—
1075#125—1661no—
1076#125—1661no—
1077#125—1661no—
1078#125—1661no—
1079#125—1661no—
1080#125C22×D8311yescharacteristic
1081#125C22×D8311yescharacteristic
1082#125C22×D8311yescharacteristic
1083#125C22×D8311yescharacteristic
1084C22⋊Q8—21no—
1085C22⋊Q8—21no—
1086C22⋊Q8—21no—
1087C22⋊Q8—831no—
1088C22⋊Q8—831no—
1089C22⋊Q8—831no—
1090C22⋊Q8—831no—
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—
1134C4×Q8—21no—
1135C4×Q8—831no—
1136C4×Q8—831no—
1137C4×Q8—831no—
1138C4×Q8—831no—
1139C4×Q8—831no—
1140C4×Q8—831no—
1141C4×Q8—1661no—
1142C4×Q8—1661no—
1143C4×Q8—1661no—
1144C4×Q8—1661no—
1145C4×Q8—1661no—
1146C4×Q8C22×D8311yescharacteristic
1147C4×Q8C22×D8311yescharacteristic
1148C4×Q8C22×D8311yescharacteristic
1149C4×Q8C22×D8311yescharacteristic
1150C4×D4—831no—
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—1661no—
1166C4×D4—1661no—
1167C4×D4—1661no—
1168C4×D4—1661no—
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×D4C22×D8311yescharacteristic
1178C4×D4C22×D8311yescharacteristic
1179C4×D4C22×D8311yescharacteristic
1180#117—831no—
1181#117—831no—
1182#117—831no—
1183#117—831no—
1184#117—831no—
1185#117—1661no—
1186#117—1661no—
1187#117—1661no—
1188C2×C4⋊C4—21no—
1189C2×C4⋊C4—831no—
1190C2×C4⋊C4—831no—
1191C2×C4⋊C4—831no—
1192C2×C4⋊C4—1661no—
1193C2×C4⋊C4—1661no—
1194C2×C4⋊C4—1661no—
1195C2×C4⋊C4—1661no—
1196C2×C4⋊C4—1661no—
1197C2×C4⋊C4—1661no—
1198C2×C4⋊C4—1661no—
1199C2×C4⋊C4—1661no—
1200C2×C4⋊C4—1661no—
1201C2×C4⋊C4—1661no—
1202C2×C22⋊C4—1661no—
1203C2×C22⋊C4—1661no—
1204C2×C22⋊C4—1661no—
1205C2×C22⋊C4—1661no—
1206C2×C22⋊C4—1661no—
1207C2×C42—831no—
1208C2×C42—1661no—
1209#107—831no—
1210#107—831no—
1211#107—831no—
1212#107—831no—
1213#107—831no—
1214#107—831no—
1215#107—831no—
1216#107—831no—
1217#107—831no—
1218#107—831no—
1219#107C22×D8311yescharacteristic
1220#107C22×D8311yescharacteristic
1221#107C22×D8311yescharacteristic
1222#107C22×D8311yescharacteristic
1223#106—831no—
1224#106—831no—
1225#106—831no—
1226#106—831no—
1227#106—831no—
1228#106—831no—
1229#106—831no—
1230#106—831no—
1231#106—831no—
1232#106—831no—
1233#106—831no—
1234#106—831no—
1235#106—831no—
1236#106—831no—
1237#106—831no—
1238#106—831no—
1239#106—831no—
1240#106C22×D8311yescharacteristic
1241#106C22×D8311yescharacteristic
1242#106C22×D8311yescharacteristic
1243#106C22×D8311yescharacteristic
1244#106C22×D8311yescharacteristic
1245C4⋊C8—831no—
1246C4⋊C8—831no—
1247C4⋊C8—831no—
1248C4⋊C8—831no—
1249C4⋊C8—831no—
1250C4⋊C8—831no—
1251C4⋊C8—831no—
1252C4⋊C8—831no—
1253C4⋊C8—831no—
1254C4⋊C8C22×D8311yescharacteristic
1255C4⋊C8C22×D8311yescharacteristic
1256C4⋊C8C22×D8311yescharacteristic
1257#103—831no—
1258#103—831no—
1259#103—831no—
1260#103C22×D8311yescharacteristic
1261#103C22×D8311yescharacteristic
1262#103C22×D8311yescharacteristic
1263#102—831no—
1264#102—831no—
1265#102—831no—
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#102C22×D8311yescharacteristic
1279#102C22×D8311yescharacteristic
1280#102C22×D8311yescharacteristic
1281#97—831no—
1282#97—831no—
1283#97—831no—
1284#97—831no—
1285#97C22×D8311yescharacteristic
1286#97C22×D8311yescharacteristic
1287C4×C8—831no—
1288C4×C8—831no—
1289C4×C8—831no—
1290C4×C8—831no—
1291C4×C8—831no—
1292C4×C8C22×D8311yescharacteristic
1293C24—1661no—
1294#41—834no—
1295#41—1662no—
1296C2×Q8—21no—
1297C2×Q8—21no—
1298C2×Q8—831no—
1299C2×Q8—831no—
1300C2×Q8—831no—
1301C2×Q8—6642no—
1302C2×Q8—6642no—
1303C2×Q8—6642no—
1304C2×Q8—6642no—
1305C2×Q8—6642no—
1306C2×Q8—1661no—
1307C2×Q8—1661no—
1308C2×Q8—1661no—
1309C2×Q8—1661no—
1310C2×Q8—1661no—
1311C2×Q8—1661no—
1312C2×Q8—1661no—
1313C2×Q8—1661no—
1314C2×Q8—1661no—
1315C2×Q8—1661no—
1316C2×Q8—1661no—
1317C2×Q8—1661no—
1318C2×Q8D4×D8311yescharacteristic
1319C2×Q8C23×D8311yescharacteristic
1320C2×D4—834no—
1321C2×D4—831no—
1322C2×D4—831no—
1323C2×D4—1661no—
1324C2×D4—1662no—
1325C2×D4—1661no—
1326C2×D4C23×D8311yescharacteristic
1327C22×C4—21no—
1328C22×C4—21no—
1329C22×C4—21no—
1330C22×C4—831no—
1331C22×C4—831no—
1332C22×C4—831no—
1333C22×C4—6642no—
1334C22×C4—1661no—
1335C22×C4—1661no—
1336C22×C4—1661no—
1337C22×C4—1661no—
1338C22×C4—1661no—
1339C22×C4—1661no—
1340C22×C4—1661no—
1341C22×C4—1661no—
1342C22×C4—1661no—
1343C22×C4—1661no—
1344C22×C4—1661no—
1345C22×C4—1661no—
1346C22×C4—1661no—
1347C22×C4—1661no—
1348C22×C4—1661no—
1349C22×C4—1661no—
1350C22×C4—1661no—
1351C22×C4—1661no—
1352C22×C4—1661no—
1353SD16—834no—
1354SD16Q8×D8314yescomplemented
1355D8—834no—
1356D8—834no—
1357M16—834no—
1358M16—1662no—
1359C2×C8—831no—
1360C2×C8—831no—
1361C2×C8—831no—
1362C2×C8—831no—
1363C2×C8—1662no—
1364C2×C8—1662no—
1365C2×C8C23×D8311yescharacteristic
1366C2×C8C23×D8311yescharacteristic
1367C2×C8C23×D8311yescharacteristic
1368C2×C8C23×D8311yescharacteristic
1369C4⋊C4—21no—
1370C4⋊C4—21no—
1371C4⋊C4—21no—
1372C4⋊C4—21no—
1373C4⋊C4—21no—
1374C4⋊C4—21no—
1375C4⋊C4—21no—
1376C4⋊C4—21no—
1377C4⋊C4—21no—
1378C4⋊C4—21no—
1379C4⋊C4—21no—
1380C4⋊C4—21no—
1381C4⋊C4—21no—
1382C4⋊C4—831no—
1383C4⋊C4—831no—
1384C4⋊C4—831no—
1385C4⋊C4—831no—
1386C4⋊C4—831no—
1387C4⋊C4—831no—
1388C4⋊C4—831no—
1389C4⋊C4—831no—
1390C4⋊C4—831no—
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—1661no—
1402C4⋊C4—1661no—
1403C4⋊C4—1661no—
1404C4⋊C4—1661no—
1405C4⋊C4—1661no—
1406C4⋊C4—1661no—
1407C4⋊C4—1661no—
1408C4⋊C4—1661no—
1409C4⋊C4—1661no—
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⋊C4D4×D8311yescharacteristic
1432C4⋊C4D4×D8311yescharacteristic
1433C4⋊C4D4×D8311yescharacteristic
1434C4⋊C4C23×D8311yescharacteristic
1435C4⋊C4C23×D8311yescharacteristic
1436C4⋊C4C23×D8311yescharacteristic
1437C4⋊C4C23×D8311yescharacteristic
1438C4⋊C4C23×D8311yescharacteristic
1439C4⋊C4C23×D8311yescharacteristic
1440C22⋊C4—21no—
1441C22⋊C4—21no—
1442C22⋊C4—21no—
1443C22⋊C4—831no—
1444C22⋊C4—831no—
1445C22⋊C4—831no—
1446C22⋊C4—831no—
1447C22⋊C4—1661no—
1448C22⋊C4—1661no—
1449C22⋊C4—1661no—
1450C22⋊C4—1661no—
1451C22⋊C4—1661no—
1452C22⋊C4—1661no—
1453C22⋊C4—1661no—
1454C22⋊C4—1661no—
1455C22⋊C4—1661no—
1456C22⋊C4—1661no—
1457C22⋊C4—1661no—
1458C22⋊C4—1661no—
1459C22⋊C4—1661no—
1460C22⋊C4—1661no—
1461C22⋊C4—1661no—
1462C22⋊C4—1661no—
1463C22⋊C4—1661no—
1464C22⋊C4—1661no—
1465C42—21no—
1466C42—21no—
1467C42—21no—
1468C42—831no—
1469C42—831no—
1470C42—831no—
1471C42—831no—
1472C42—831no—
1473C42—1661no—
1474C42—1661no—
1475C42—1661no—
1476C42—1661no—
1477C42—1661no—
1478C42—1661no—
1479C42C23×D8311yescharacteristic
1480C42C23×D8311yescharacteristic
1481C42C23×D8311yescharacteristic
1482C23—21no—
1483C23—831no—
1484C23—6641no—
1485C23—6641no—
1486C23—1664no—
1487C23—1661no—
1488C23—1661no—
1489Q8—21no—
1490Q8—41no—
1491Q8—42no—
1492Q8—81no—
1493Q8—3322no—
1494Q8—3321no—
1495Q8—3322no—
1496Q8—6641no—
1497Q8—6641no—
1498Q8—6641no—
1499Q8—6641no—
1500Q8—6641no—
1501Q8—6641no—
1502Q8—6641no—
1503Q8—6641no—
1504Q8—6641no—
1505Q8—6641no—
1506Q8—1662no—
1507Q8—1662no—
1508Q8C2×Q8×D8312yes—
1509D4—21no—
1510D4—832no—
1511D4—832no—
1512D4—1664no—
1513D4—1664no—
1514D4—1661no—
1515D4—1661no—
1516D4C2×Q8×D8312yes—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—21no—
1524C2×C4—81no—
1525C2×C4—81no—
1526C2×C4—81no—
1527C2×C4—3322no—
1528C2×C4—3321no—
1529C2×C4—3322no—
1530C2×C4—3322no—
1531C2×C4—3322no—
1532C2×C4—831no—
1533C2×C4—831no—
1534C2×C4—832no—
1535C2×C4—832no—
1536C2×C4—831no—
1537C2×C4—831no—
1538C2×C4—831no—
1539C2×C4—831no—
1540C2×C4—831no—
1541C2×C4—6641no—
1542C2×C4—6641no—
1543C2×C4—6641no—
1544C2×C4—6641no—
1545C2×C4—6641no—
1546C2×C4—6641no—
1547C2×C4—6641no—
1548C2×C4—6641no—
1549C2×C4—6641no—
1550C2×C4—6641no—
1551C2×C4—6641no—
1552C2×C4—6641no—
1553C2×C4—6641no—
1554C2×C4—6641no—
1555C2×C4—1662no—
1556C2×C4—1664no—
1557C2×C4—1661no—
1558C2×C4—1661no—
1559C2×C4—1661no—
1560C2×C4—1661no—
1561C2×C4—1661no—
1562C2×C4—1661no—
1563C2×C4C2×D4×D8311yescharacteristic
1564C2×C4C2×D4×D8311yescharacteristic
1565C2×C4C2×D4×D8311yescharacteristic
1566C2×C4C2×D4×D8311yescharacteristic
1567C2×C4C2×D4×D8311yescharacteristic
1568C2×C4C2×D4×D8311yescharacteristic
1569C2×C4C24×D8311yescharacteristic
1570C8—21no—
1571C8—21no—
1572C8—21no—
1573C8—832no—
1574C8—1661no—
1575C8—1661no—
1576C8—1661no—
1577C8C2×Q8×D8312yes—
1578C22—22no—
1579C22—41no—
1580C22—41no—
1581C22—3321no—
1582C22—3321no—
1583C22—3321no—
1584C22—3321no—
1585C22—832no—
1586C22—6644no—
1587C22—1662no—
1588C22—1662no—
1589C22—1661no—
1590C22—1661no—
1591C22C22×D4×D8311yescharacteristic
1592C4—22no—
1593C4—21no—
1594C4—21no—
1595C4—21no—
1596C4—21no—
1597C4—21no—
1598C4—21no—
1599C4—41no—
1600C4—41no—
1601C4—41no—
1602C4—41no—
1603C4—41no—
1604C4—41no—
1605C4—3321no—
1606C4—3321no—
1607C4—3321no—
1608C4—3321no—
1609C4—3321no—
1610C4—3321no—
1611C4—832no—
1612C4—832no—
1613C4—1661no—
1614C4—1661no—
1615C4—1661no—
1616C4—1661no—
1617C4—1661no—
1618C4C22×Q8×D8311yescharacteristic
1619C42−1+4×D8311yescharacteristic
1620C2—42no—
1621C2—3322no—
1622C2—3322no—
1623C2—1662no—
1624C2D4×Q8×D8311yescharacteristic
1625C2#577×D8311yescharacteristic
1626C2#2492224011yescharacteristic
subgroupG/H
centerC22C22×D4×D83
commutator, cosocleC2×C4×C83C25
FrattiniC2×C4C24×D83
FittingC83×#3388C2
socleC22×C83C23×D4
prime radicalC2×#14581819C22
hypercenter#3388D83
hypocenterC83#61382
LCSG ▷ C2×C4×C83 ▷ C2×C83 ▷ C83
UCSC1 ◁ C22 ◁ C4×Q8 ◁ #3388

Complements

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

NH ≅ G/Ntype
1. #24921280C2semidirect
2. #24921262C2semidirect
3. #24920411C2semidirect
4. #24920409C2semidirect
5. #24920402C2semidirect
6. #24920376C2semidirect
7. #24920374C2semidirect
8. #24920365C2semidirect
9. #24920364C2semidirect
10. #24920362C2semidirect
11. #24920359C2semidirect
12. #24920359C2semidirect
13. #24920357C2semidirect
14. #24920327C2semidirect
15. #24920325C2semidirect
16. #24920322C2semidirect
17. SD16×Dic166C2semidirect
18. #24918008C2semidirect
19. #24917992C2semidirect
20. #24917990C2semidirect
21. #24917328C2semidirect
22. #24917322C2semidirect
23. #24917293C2semidirect
24. #24917291C2semidirect
25. #24917250C2semidirect
26. #476×D83C2semidirect
27. #24916408C2semidirect
31. C83×#3388C2semidirect
33. Q8×Dic166C22semidirect
34. Q8×Dic166C22semidirect
35. #19128430C22semidirect
43. #19128407C22semidirect
44. #19128407C22semidirect
49. Q8×D332C22semidirect
53. #19128366C22semidirect
76. #19128111C22semidirect
77. #19128111C22semidirect
78. #19128111C22semidirect
79. #19128110C22semidirect
80. #19128110C22semidirect
81. #19128109C22semidirect
82. #19128109C22semidirect
83. #19128109C22semidirect
84. #19128108C22semidirect
85. #19128107C22semidirect
86. #19128105C22semidirect
87. #19128105C22semidirect
88. #19128102C22semidirect
89. #19128101C22semidirect
90. #19128100C22semidirect
91. #19128099C22semidirect
92. #19128098C22semidirect
93. #19128098C22semidirect
94. #19128098C22semidirect
95. #19128098C22semidirect
96. #19128097C22semidirect
97. #19128010C22semidirect
98. #19128008C22semidirect
99. #19128008C22semidirect
100. #19128006C22semidirect
102. #19128004C22semidirect
104. #19128002C22semidirect
105. #19128002C22semidirect
107. #19128000C22semidirect
111. #19127998C22semidirect
112. #19127998C22semidirect
113. #19127994C22semidirect
116. #19127992C22semidirect
122. #19127990C22semidirect
123. #19127990C22semidirect
124. #19127990C22semidirect
129. #19127988C22semidirect
130. #19127986C22semidirect
131. #19127984C22semidirect
132. #19127984C22semidirect
133. #19127984C22semidirect
137. #19127980C22semidirect
139. #19127832C22semidirect
140. #19127830C22semidirect
141. #19127830C22semidirect
142. #19127829C22semidirect
143. #19127829C22semidirect
144. C8×Dic166C22semidirect
145. #19127825C22semidirect
188. #557×C83C22semidirect
190. #501×C83C22semidirect
191. #501×C83C22semidirect
192. #499×C83C22semidirect
193. #479×C83C22semidirect
194. #479×C83C22semidirect
198. #475×C83C22semidirect
199. #446×C83C22semidirect
211. #14581819Q8semidirect
481. #13050591C2×Q8semidirect
507. D4×D83C2×Q8semidirect
531. #13050577C2×Q8semidirect
532. D664C2×Q8semidirect
533. #13050575C2×Q8semidirect
535. #13050573C2×Q8semidirect
632. SD16×C83C2×Q8semidirect
819. #3388D83semidirect
845. C83#61382semidirect
850. #557C2×D83semidirect
902. #501C2×D83semidirect
903. #501C2×D83semidirect
909. #499C2×D83semidirect
920. #479C2×D83semidirect
921. #479C2×D83semidirect
958. #475C2×D83semidirect
969. #446C2×D83semidirect
1354. SD16Q8×D83semidirect

Maximal subgroups

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

subgroupindex
#249212802
#249212622
#249204112
#249204092
#249204022
#249203762
#249203742
#249203652
#249203642
#249203622
#249203592
#249203572
#249203272
#249203252
#249203222
SD16×Dic1662
#249180082
#249179922
#249179902
#249173282
#249173222
#249172932
#249172912
#249172502
#476×D832
#249164082
#249162942
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