Finite Group Databasebeta

← #36285125

Subgroups — #36285125

Order 21248.

1742 conjugacy classes of subgroups.

The subgroup lattice has 1598 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#24921270C211yesmaximal, characteristic, complemented
2#24921260C211yesmaximal, characteristic
3#24920415C211yesmaximal, characteristic, complemented
4#24920414C211yesmaximal, characteristic, complemented
5#24920413C211yesmaximal, characteristic, complemented
6#24920408C211yesmaximal, characteristic, complemented
7#24920407C211yesmaximal, characteristic, complemented
8#24920406C211yesmaximal, characteristic, complemented
9#24920405C211yesmaximal, characteristic, complemented
10#24920386C211yesmaximal, characteristic, complemented
11#24920385C211yesmaximal, characteristic, complemented
12#24920380C211yesmaximal, characteristic, complemented
13#24920379C211yesmaximal, characteristic, complemented
14#24920377C211yesmaximal, characteristic, complemented
15#24920376C211yesmaximal, characteristic, complemented
16#24920371C211yesmaximal, characteristic, complemented
17#24920370C211yesmaximal, characteristic, complemented
18#24918000C211yesmaximal, characteristic, complemented
19#24917998C211yesmaximal, characteristic, complemented
20#24917984C211yesmaximal, characteristic, complemented
21#24917304C211yesmaximal, characteristic, complemented
22#24917302C211yesmaximal, characteristic, complemented
23#24917291C211yesmaximal, characteristic
24#24917289C211yesmaximal, characteristic
25#24917263C211yesmaximal, characteristic, complemented
26#24917258C211yesmaximal, characteristic
27#24916399C211yesmaximal, characteristic, complemented
28#24916319C211yesmaximal, characteristic
29#24916317C211yesmaximal, characteristic
30#440×D83C211yesmaximal, characteristic
31C83×#3388C211yesmaximal, characteristic, complemented
32C2×SD16×D83C2211yescharacteristic
33Q8×Dic166C2211yescharacteristic, complemented
34#19128431—21no—
35#19128431C2211yescharacteristic, complemented
36#19128429—21no—
37#19128429C2211yescharacteristic, complemented
38#19128428—21no—
39#19128428—21no—
40#19128428C2211yescharacteristic, complemented
41#19128428C2211yescharacteristic, complemented
42#19128427C2211yescharacteristic, complemented
43#19128427C2211yescharacteristic, complemented
44#19128412C2211yescharacteristic
45#19128409—21no—
46#19128409—21no—
47#19128408C2211yescharacteristic
48#19128408C2211yescharacteristic
49#19128407C2211yescharacteristic
50#19128407C2211yescharacteristic
51#19128406—21no—
52Q8×D332C2211yescharacteristic
53D4×Dic166C2211yescharacteristic
54#19128364—21no—
55#19128331—21no—
56#19128331C2211yescharacteristic
57#19128331C2211yescharacteristic
58#19128331C2211yescharacteristic
59#19128328—21no—
60#19128328C2211yescharacteristic
61#19128326—21no—
62#19128326—21no—
63#19128257—21no—
64#19128257C2211yescharacteristic
65#19128256C2211yescharacteristic
66#19128255—21no—
67#19128255C2211yescharacteristic
68C2×#14581772—21no—
69C22⋊Q8×D83—21no—
70#19128177C2211yescharacteristic
71#19128177C2211yescharacteristic
72#19128173C2211yescharacteristic
73#19128173C2211yescharacteristic
74C4×Q8×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#19128108C2211yescharacteristic, complemented
85#19128108C2211yescharacteristic, complemented
86#19128108C2211yescharacteristic, complemented
87#19128108C2211yescharacteristic, complemented
88#19128108C2211yescharacteristic, complemented
89#19128107C2211yescharacteristic, complemented
90#19128106C2211yescharacteristic, complemented
91#19128105C2211yescharacteristic, complemented
92#19128105C2211yescharacteristic, complemented
93#19128104C2211yescharacteristic, complemented
94#19128102C2211yescharacteristic, complemented
95#19128101C2211yescharacteristic, complemented
96#19128100C2211yescharacteristic, complemented
97#19128011C2211yescharacteristic, complemented
98#19128011C2211yescharacteristic, complemented
99#19128011C2211yescharacteristic, complemented
100#19128010C2211yescharacteristic, complemented
101#19128010C2211yescharacteristic, complemented
102#19128010C2211yescharacteristic, complemented
103#19128007C2211yescharacteristic, complemented
104#19128006C2211yescharacteristic, complemented
105#19128005C2211yescharacteristic, complemented
106#19128005C2211yescharacteristic, complemented
107#19128004C2211yescharacteristic
108#19128003C2211yescharacteristic
109#19128002C2211yescharacteristic
110#19128002C2211yescharacteristic
111#19128001C2211yescharacteristic
112#19128001C2211yescharacteristic
113#19128000C2211yescharacteristic
114#19127999C2211yescharacteristic
115#19127998C2211yescharacteristic
116#19127998C2211yescharacteristic
117#19127997C2211yescharacteristic, complemented
118#19127997C2211yescharacteristic, complemented
119#19127996C2211yescharacteristic, complemented
120#19127996C2211yescharacteristic, complemented
121#19127995C2211yescharacteristic, complemented
122#19127994C2211yescharacteristic, complemented
123#19127991C2211yescharacteristic
124#19127990C2211yescharacteristic
125#19127990C2211yescharacteristic
126#19127990C2211yescharacteristic
127#19127989C2211yescharacteristic
128#19127987C2211yescharacteristic, complemented
129#19127986C2211yescharacteristic, complemented
130#19127985C2211yescharacteristic, complemented
131#19127984C2211yescharacteristic, complemented
132#19127983C2211yescharacteristic, complemented
133#19127982C2211yescharacteristic
134#19127980C2211yescharacteristic
135#19127979C2211yescharacteristic
136#19127979C2211yescharacteristic
137#19127979C2211yescharacteristic
138#19127978C2211yescharacteristic
139#19127832C2211yescharacteristic, complemented
140#19127831C2211yescharacteristic, complemented
141#19127830C2211yescharacteristic, complemented
142#19127830C2211yescharacteristic, complemented
143#19127829C2211yescharacteristic, complemented
144#19127829C2211yescharacteristic, complemented
145#19127828C2211yescharacteristic, complemented
146#19127804C2211yescharacteristic
147#19127804C2211yescharacteristic
148#19127803C2211yescharacteristic
149#19127803C2211yescharacteristic
150#19127802C2211yescharacteristic
151#19127802C2211yescharacteristic
152#19127801C2211yescharacteristic
153#19127801C2211yescharacteristic
154#19127800C2211yescharacteristic
155#19127800C2211yescharacteristic
156#19127799C2211yescharacteristic
157#19127799C2211yescharacteristic
158#19127798C2211yescharacteristic
159#19127798C2211yescharacteristic
160#19127792C2211yescharacteristic
161C4×#13050579C2211yescharacteristic
162SD16×Dic83C2211yescharacteristic
163C4×#13050577C2211yescharacteristic
164#19127788C2211yescharacteristic
165C4×#13050578C2211yescharacteristic
166#19127786C2211yescharacteristic
167#19127742C2211yescharacteristic
168#19127740C2211yescharacteristic
169#19127740C2211yescharacteristic
170#19127740C2211yescharacteristic
171#19127738C2211yescharacteristic
172#19127738C2211yescharacteristic
173#19127736C2211yescharacteristic
174#19127736C2211yescharacteristic
175#107×D83C2211yescharacteristic
176#19127726C2211yescharacteristic
177#19127726C2211yescharacteristic
178#19127723C2211yescharacteristic
179#19127708C2211yescharacteristic
180#19127708C2211yescharacteristic
181#19127704C2211yescharacteristic
182#19127704C2211yescharacteristic
183#103×D83C2211yescharacteristic
184#102×D83C2211yescharacteristic
185#19127658C2211yescharacteristic
186#19127655C2211yescharacteristic
187#97×D83C2211yescharacteristic
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
203C22×Dic166—21no—
204C2×Q8×D83—21no—
205C2×Q8×D83C2311yescharacteristic
206C2×D4×D83C2311yescharacteristic
207C22×C4×D83—21no—
208C2×#13050579C2311yescharacteristic
209C2×#13050578C2311yescharacteristic
210C2×#13050577C2311yescharacteristic
211SD16×D83Q818yescomplemented
212C2×#13050573C2311yescharacteristic
213C2×#13050573C2311yescharacteristic
214C2×C8×D83C2311yescharacteristic
215C2×C8×D83C2311yescharacteristic
216#14581792—21no—
217#14581792C2311yescharacteristic
218#14581792C2311yescharacteristic
219#14581792C2311yescharacteristic
220#14581792C2311yescharacteristic
221#14581791—21no—
222#14581791—21no—
223#14581791—21no—
224#14581791—21no—
225#14581791—21no—
226#14581791—21no—
227#14581791—21no—
228#14581791—21no—
229#14581791—21no—
230#14581791—21no—
231#14581791D411yescharacteristic
232#14581791C2311yescharacteristic
233#14581791C2311yescharacteristic
234#14581791C2311yescharacteristic
235#14581791C2311yescharacteristic
236#14581791C2311yescharacteristic
237#14581791C2311yescharacteristic
238#14581790—21no—
239#14581790—21no—
240#14581790—21no—
241#14581790—21no—
242#14581790D411yescharacteristic
243#14581784—21no—
244#14581784—21no—
245#14581784C2311yescharacteristic
246#14581784C2311yescharacteristic
247#14581783—21no—
248#14581783—21no—
249#14581783C2311yescharacteristic
250#14581783C2311yescharacteristic
251#14581783C2311yescharacteristic
252#14581783C2311yescharacteristic
253#14581783C2311yescharacteristic
254#14581783C2311yescharacteristic
255#14581782—21no—
256#14581782—21no—
257#14581782—21no—
258#14581782—21no—
259#14581782—21no—
260#14581782—21no—
261#14581782—21no—
262#14581782—21no—
263#14581782—21no—
264#14581782—21no—
265#14581782D411yescharacteristic
266#14581782D411yescharacteristic
267#14581772—21no—
268#14581772—21no—
269#14581772—21no—
270#14581772—21no—
271#14581772—21no—
272#14581772—21no—
273#14581772—21no—
274#14581772—21no—
275#14581772—21no—
276#14581772—21no—
277#14581772D411yescharacteristic
278#14581771—21no—
279#14581771—21no—
280#14581771—21no—
281#14581770—21no—
282#14581770—21no—
283#14581770—21no—
284#14581770—21no—
285#14581770—21no—
286#14581770—21no—
287#14581770—21no—
288#14581770—21no—
289#14581770—21no—
290#14581770—21no—
291#14581770D411yescharacteristic
292#14581770D411yescharacteristic
293#14581769—21no—
294#14581769—21no—
295#14581769—21no—
296#14581769—21no—
297#14581769—21no—
298#14581769—21no—
299#14581768—21no—
300#14581768—21no—
301#14581768—21no—
302#14581768—21no—
303#14581768D411yescharacteristic
304Q8×Dic83—21no—
305Q8×Dic83C2311yescharacteristic
306Q8×Dic83C2311yescharacteristic
307Q8×Dic83C2311yescharacteristic
308C4×Dic166—21no—
309C4×Dic166—21no—
310C4×Dic166—21no—
311C4×Dic166—21no—
312C4×Dic166—21no—
313C4×Dic166—21no—
314C4×Dic166C2311yescharacteristic
315C4×Dic166C2311yescharacteristic
316C4×Dic166C2311yescharacteristic
317C4×Dic166C2311yescharacteristic
318C4×Dic166C2311yescharacteristic
319C4×Dic166C2311yescharacteristic
320#14581757—21no—
321#14581757—21no—
322#14581757—21no—
323#14581757—21no—
324#14581757—21no—
325#14581757—21no—
326#14581757—21no—
327#14581757—21no—
328#14581757—21no—
329#14581757—21no—
330#14581757C2311yescharacteristic
331#14581757C2311yescharacteristic
332#14581757C2311yescharacteristic
333C4×D332C2311yescharacteristic
334C4×D332C2311yescharacteristic
335C4×D332C2311yescharacteristic
336D4×Dic83C2311yescharacteristic
337D4×Dic83C2311yescharacteristic
338D4×Dic83C2311yescharacteristic
339#14581754C2311yescharacteristic
340#14581754C2311yescharacteristic
341#14581754C2311yescharacteristic
342C4×C22⋊D83—21no—
343C4×C22⋊D83—21no—
344C4×C22⋊D83—21no—
345(C22⋊D83)⋊C4—21no—
346(C22⋊D83)⋊C4—21no—
347(C22⋊D83)⋊C4—21no—
348#14581750—21no—
349#14581750—21no—
350#14581750C2311yescharacteristic
351#14581750C2311yescharacteristic
352#14581750C2311yescharacteristic
353#14581750C2311yescharacteristic
354#14581749—21no—
355#14581749—21no—
356#14581749C2311yescharacteristic
357#14581749C2311yescharacteristic
358C2×C4⋊Dic83—21no—
359C2×C4⋊Dic83—21no—
360C4⋊C4×D83—21no—
361C4⋊C4×D83—21no—
362C4⋊C4×D83—21no—
363C4⋊C4×D83—21no—
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#14581726C2311yescharacteristic
377#14581726C2311yescharacteristic
378#14581726C2311yescharacteristic
379#14581725C2311yescharacteristic
380#14581725C2311yescharacteristic
381#14581725C2311yescharacteristic
382#14581725C2311yescharacteristic
383#14581725C2311yescharacteristic
384#14581725C2311yescharacteristic
385#14581725C2311yescharacteristic
386#14581725C2311yescharacteristic
387#14581725C2311yescharacteristic
388#14581725C2311yescharacteristic
389#14581724C2311yescharacteristic
390#14581724C2311yescharacteristic
391#14581724C2311yescharacteristic
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#14581717C2311yescharacteristic
410#14581717C2311yescharacteristic
411#14581717C2311yescharacteristic
412#14581716C2311yescharacteristic
413#14581716C2311yescharacteristic
414#14581716C2311yescharacteristic
415#14581715C2311yescharacteristic
416#14581715C2311yescharacteristic
417#14581715C2311yescharacteristic
418#14581714C2311yescharacteristic
419#14581714C2311yescharacteristic
420#14581714C2311yescharacteristic
421#14581713C2311yescharacteristic
422#14581713C2311yescharacteristic
423#14581713C2311yescharacteristic
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×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—
480C2×Dic166—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×Dic166C2×D411yescharacteristic
493C2×Dic166C2×D411yescharacteristic
494C2×Dic166C2×D411yescharacteristic
495C2×Dic166C2411yescharacteristic
496Q8×D83—22no—
497Q8×D83—82no—
498Q8×D83C2×Q814yescomplemented
499C2×D332C2411yescharacteristic
500C2×C22⋊D83—21no—
501D4×D83—22no—
502D4×D83C2×Q814yes—
503C22×Dic83—21no—
504C22×Dic83—21no—
505C22×Dic83—21no—
506C2×C4×D83—21no—
507C2×C4×D83—21no—
508C2×C4×D83—21no—
509C2×C4×D83—21no—
510C2×C4×D83—21no—
511C2×C4×D83—21no—
512C2×C4×D83—21no—
513C2×C4×D83—21no—
514C2×C4×D83—21no—
515C2×C4×D83—82no—
516C2×C4×D83C2×D411yescharacteristic
517C2×C4×D83C2×D411yescharacteristic
518C2×C4×D83C2411yescharacteristic
519#13050579C2×Q814yescomplemented
520#13050578C2×Q814yescomplemented
521#13050577C2×Q814yescomplemented
522#13050573—22no—
523#13050573—22no—
524C2×C83⋊C8C2411yescharacteristic
525C2×C83⋊C8C2411yescharacteristic
526C2×C83⋊C8C2411yescharacteristic
527C2×C83⋊C8C2411yescharacteristic
528C8×D83—22no—
529C8×D83C2×Q814yescomplemented
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⋊Dic83—21no—
542C4⋊Dic83—21no—
543C4⋊Dic83C2×D411yescharacteristic
544C4⋊Dic83C2×D411yescharacteristic
545C4⋊Dic83C2×D411yescharacteristic
546C4⋊Dic83C2411yescharacteristic
547C4⋊Dic83C2411yescharacteristic
548C4⋊Dic83C2411yescharacteristic
549C4⋊Dic83C2411yescharacteristic
550C4⋊Dic83C2411yescharacteristic
551C4⋊Dic83C2411yescharacteristic
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⋊C4C2×D411yescharacteristic
577Dic83⋊C4C2×D411yescharacteristic
578Dic83⋊C4C2×D411yescharacteristic
579Dic83⋊C4C2×D411yescharacteristic
580Dic83⋊C4C2×D411yescharacteristic
581Dic83⋊C4C2×D411yescharacteristic
582Dic83⋊C4C2×D411yescharacteristic
583Dic83⋊C4C2×D411yescharacteristic
584Dic83⋊C4C2×D411yescharacteristic
585Dic83⋊C4C2×D411yescharacteristic
586C22⋊Dic83—21no—
587C22⋊Dic83—21no—
588C22⋊Dic83—21no—
589(C2×D83)⋊C4—21no—
590(C2×D83)⋊C4—21no—
591(C2×D83)⋊C4—21no—
592(C2×D83)⋊C4—21no—
593(C2×D83)⋊C4—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)⋊C4C2×D411yescharacteristic
600(C2×D83)⋊C4C2×D411yescharacteristic
601(C2×D83)⋊C4C2×D411yescharacteristic
602(C2×D83)⋊C4C2×D411yescharacteristic
603C4×Dic83—21no—
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×Dic83—21no—
614C4×Dic83—21no—
615C4×Dic83—21no—
616C4×Dic83C2×D411yescharacteristic
617C4×Dic83C2×D411yescharacteristic
618C4×Dic83C2411yescharacteristic
619C4×Dic83C2411yescharacteristic
620C4×Dic83C2411yescharacteristic
621C2×Q8×C83—21no—
622C2×Q8×C83—21no—
623C2×Q8×C83C2×D411yescharacteristic
624C2×Q8×C83C2411yescharacteristic
625C2×D4×C83C2411yescharacteristic
626C22×C4×C83—21no—
627C22×C4×C83—21no—
628C22×C4×C83—21no—
629SD16×C83C2×Q814yescomplemented
630C2×C8×C83C2411yescharacteristic
631C2×C8×C83C2411yescharacteristic
632C2×C8×C83C2411yescharacteristic
633C2×C8×C83C2411yescharacteristic
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×C83—21no—
645C4⋊C4×C83—21no—
646C4⋊C4×C83—21no—
647C4⋊C4×C83C2×D411yescharacteristic
648C4⋊C4×C83C2×D411yescharacteristic
649C4⋊C4×C83C2×D411yescharacteristic
650C4⋊C4×C83C2411yescharacteristic
651C4⋊C4×C83C2411yescharacteristic
652C4⋊C4×C83C2411yescharacteristic
653C4⋊C4×C83C2411yescharacteristic
654C4⋊C4×C83C2411yescharacteristic
655C4⋊C4×C83C2411yescharacteristic
656C22⋊C4×C83—21no—
657C22⋊C4×C83—21no—
658C22⋊C4×C83—21no—
659C42×C83—21no—
660C42×C83—21no—
661C42×C83—21no—
662C42×C83C2411yescharacteristic
663C42×C83C2411yescharacteristic
664C42×C83C2411yescharacteristic
665C23×C83—21no—
666C22×D83—21no—
667C22×D83—24no—
668C22×D83—81no—
669C22×D83—81no—
670C22×D83C22×D411yescharacteristic
671Q8×C83—21no—
672Q8×C83—41no—
673Q8×C83—81no—
674Q8×C83—81no—
675Q8×C83C22×Q812yes—
676D4×C83—21no—
677D4×C83C22×Q812yes—
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—21no—
685C2×C4×C83—42no—
686C2×C4×C83—81no—
687C2×C4×C83—81no—
688C2×C4×C83C22×D411yescharacteristic
689C2×C4×C83C22×D411yescharacteristic
690C2×C4×C83C22×D411yescharacteristic
691C2×C4×C83C22×D411yescharacteristic
692C2×C4×C83C22×D411yescharacteristic
693C2×C4×C83C22×D411yescharacteristic
694C2×C4×C83C2511yescharacteristic
695C22⋊D83—24no—
696C2×Dic83—21no—
697C2×Dic83—21no—
698C2×Dic83—21no—
699C2×Dic83—21no—
700C2×Dic83—21no—
701C2×Dic83—21no—
702C2×Dic83—21no—
703C2×Dic83—81no—
704C2×Dic83—81no—
705C2×Dic83—81no—
706C2×Dic83C22×D411yescharacteristic
707C2×Dic83C22×D411yescharacteristic
708C2×Dic83C22×D411yescharacteristic
709C2×Dic83C22×D411yescharacteristic
710C2×Dic83C22×D411yescharacteristic
711C2×Dic83C22×D411yescharacteristic
712C2×Dic83C22×D411yescharacteristic
713D332—21no—
714D332C22×Q812yes—
715C4×D83—24no—
716C4×D83—41no—
717C4×D83—41no—
718C4×D83—42no—
719C4×D83—81no—
720C4×D83—81no—
721C4×D83—81no—
722C4×D83—81no—
723C4×D83—81no—
724C4×D83—81no—
725C4×D83—81no—
726C4×D83C22×Q812yes—
727C4×D832−1+412yes—
728Dic166—21no—
729Dic166—24no—
730Dic166—41no—
731Dic166—41no—
732Dic166—41no—
733Dic166—42no—
734Dic166—42no—
735Dic166—81no—
736Dic166—81no—
737Dic166—81no—
738Dic166—81no—
739Dic166—81no—
740Dic166—81no—
741Dic166—81no—
742Dic166—81no—
743Dic166C22×Q812yes—
744C8×C83—21no—
745C8×C83—21no—
746C8×C83—21no—
747C8×C83C22×Q812yes—
748C83⋊C8—21no—
749C83⋊C8—21no—
750C83⋊C8—21no—
751C83⋊C8C22×Q812yes—
752C22×C83—22no—
753C22×C83—41no—
754C22×C83—41no—
755C22×C83C23×D411yescharacteristic
756C2×D83—21no—
757C2×D83—21no—
758C2×D83—22no—
759C2×D83—41no—
760C2×D83—41no—
761C2×D83—84no—
762C2×D83D4×Q812yes—
763C4×C83—21no—
764C4×C83—21no—
765C4×C83—21no—
766C4×C83—21no—
767C4×C83—21no—
768C4×C83—21no—
769C4×C83—22no—
770C4×C83—41no—
771C4×C83—41no—
772C4×C83—41no—
773C4×C83—41no—
774C4×C83—41no—
775C4×C83—41no—
776C4×C83C23×Q811yescharacteristic
777C4×C83C2×2−1+411yescharacteristic
778Dic83—21no—
779Dic83—21no—
780Dic83—21no—
781Dic83—21no—
782Dic83—21no—
783Dic83—21no—
784Dic83—22no—
785Dic83—41no—
786Dic83—41no—
787Dic83—41no—
788Dic83—41no—
789Dic83—41no—
790Dic83—41no—
791Dic83D4×Q812yes—
792#61377—831nomaximal, Sylow
793C2×C83—42no—
794C2×C83C2×D4×Q811yescharacteristic
795C2×C83#358511yescharacteristic
796C2×C83#358611yescharacteristic
797D83—22no—
798D83—42no—
799#3502—831no—
800#3501—831no—
801#3388—831no—
802#3388—831no—
803#3388—831no—
804#3388—831no—
805#3388—831no—
806#3388—831no—
807#3388—831no—
808#3388D8311yescharacteristic, complemented
809#3386—831no—
810#3386—831no—
811#3386—831no—
812#3386—831no—
813#3385—831no—
814#3385—831no—
815#3385—831no—
816#3385—831no—
817#3164—831no—
818#3164—831no—
819#3162—831no—
820#3082—831no—
821#3082—831no—
822#3081—831no—
823#3081—831no—
824#3078—831no—
825#3077—831no—
826#2961—831no—
827#2949—831no—
828#2949—831no—
829C2×#440—831no—
830C83#6137711yescharacteristic, complemented, Sylow
831C22×SD16—831no—
832Q82—831no—
833Q82—831no—
834Q82—1661no—
835#557—831no—
836#557—831no—
837#557—831no—
838#557—831no—
839#557—831no—
840#557—1661no—
841#557—1661no—
842#557—1661no—
843#557C2×D8311yescharacteristic, complemented
844#554—831no—
845#554—831no—
846#554—831no—
847#554—831no—
848#554—831no—
849#554—1661no—
850#554—1661no—
851#554—1661no—
852#554C2×D8311yescharacteristic
853D4×Q8—831no—
854D4×Q8—831no—
855D4×Q8—1661no—
856#544—831no—
857#544—831no—
858#544—831no—
859#544—831no—
860#544—1661no—
861#544—1661no—
862#543—1661no—
863#543—1661no—
864#533—831no—
865#533—831no—
866#533—831no—
867#533—1661no—
868#533—1661no—
869C2×C22⋊Q8—1661no—
870C2×C22⋊Q8—1661no—
871#519—831no—
872#519—831no—
873#518—831no—
874#518—831no—
875C2×C4×Q8—831no—
876C2×C4×D4—831no—
877#501—831no—
878#501—831no—
879#501—831no—
880#501—831no—
881#501—831no—
882#501—831no—
883#501—831no—
884#501—831no—
885#501—831no—
886#501—831no—
887#501—831no—
888#501—831no—
889#501—831no—
890#501—831no—
891#501C2×D8311yescharacteristic, complemented
892#501C2×D8311yescharacteristic, complemented
893#500—831no—
894#500—831no—
895#500—831no—
896#500—831no—
897#499—831no—
898#499—831no—
899#499—831no—
900#499C2×D8311yescharacteristic, complemented
901#479—831no—
902#479—831no—
903#479—831no—
904#479—831no—
905#479—831no—
906#479—831no—
907#479—831no—
908#479—831no—
909#479—831no—
910#479—831no—
911#479C2×D8311yescharacteristic, complemented
912#479C2×D8311yescharacteristic, complemented
913#478—831no—
914#478—831no—
915#478—831no—
916#478—831no—
917#478—831no—
918#478—831no—
919#478—831no—
920#478—831no—
921#478—831no—
922#478—831no—
923#478C2×D8311yescharacteristic
924#478C2×D8311yescharacteristic
925#477—831no—
926#477—831no—
927#477—831no—
928#477—831no—
929#477—831no—
930#477—831no—
931#476—831no—
932#476—831no—
933#476—831no—
934#476—831no—
935#476—831no—
936#476C2×D8311yescharacteristic
937#475—831no—
938#475—831no—
939#475—831no—
940#475—831no—
941#475—831no—
942#475C2×D8311yescharacteristic, complemented
943#474—831no—
944#474—831no—
945#474—831no—
946#474—831no—
947#474—831no—
948#474—831no—
949#446—831no—
950#446—831no—
951#446—831no—
952#446—831no—
953#446—831no—
954#446—831no—
955#446—831no—
956#446C2×D8311yescharacteristic, complemented
957#440—831no—
958#440—831no—
959#440—831no—
960#440—831no—
961#440—831no—
962#440—831no—
963#440—831no—
964#440—831no—
965#440—831no—
966#440—831no—
967#440—831no—
968#440—831no—
969#440—831no—
970#440—831no—
971#440C2×D8311yescharacteristic
972#440C2×D8311yescharacteristic
973C4×SD16—831no—
974C4×SD16—831no—
975C4×SD16—831no—
976C4×SD16—831no—
977C4×SD16—831no—
978C4×SD16—831no—
979C4×SD16—831no—
980C4×SD16C2×D8311yescharacteristic
981#428—831no—
982#428—831no—
983#428—831no—
984#428—831no—
985#427—831no—
986#427—831no—
987#427—831no—
988#427—831no—
989C2×#107—831no—
990#424—831no—
991#424—831no—
992#423—831no—
993#419—831no—
994#419—831no—
995#418—831no—
996#418—831no—
997C2×#103—831no—
998C2×#102—831no—
999#405—831no—
1000#405—831no—
1001C2×#97—831no—
1002C22×Q8—831no—
1003C22×Q8—1661no—
1004C22×Q8—1661no—
1005C22×D4—831no—
1006C23×C4—1661no—
1007C2×SD16—831no—
1008C2×SD16—831no—
1009C2×SD16—838no—
1010C2×SD16—831no—
1011C2×SD16C22×D8311yescharacteristic
1012C2×M16—831no—
1013C2×M16—831no—
1014C22×C8—831no—
1015C22×C8—831no—
1016C4⋊Q8—21no—
1017C4⋊Q8—831no—
1018C4⋊Q8—831no—
1019C4⋊Q8—831no—
1020C4⋊Q8—831no—
1021C4⋊Q8—831no—
1022C4⋊Q8—831no—
1023C4⋊Q8—831no—
1024C4⋊Q8—831no—
1025C4⋊Q8—831no—
1026C4⋊Q8—831no—
1027C4⋊Q8—831no—
1028C4⋊Q8—831no—
1029C4⋊Q8—1661no—
1030C4⋊Q8—1661no—
1031C4⋊Q8—1661no—
1032C4⋊Q8—1661no—
1033C4⋊Q8—1661no—
1034C4⋊Q8—1661no—
1035C4⋊Q8—1661no—
1036C4⋊Q8—1661no—
1037C4⋊Q8—1661no—
1038C4⋊Q8—1661no—
1039C4⋊Q8—1661no—
1040C4⋊Q8—1661no—
1041C4⋊Q8—1661no—
1042C4⋊Q8—1661no—
1043C4⋊Q8—1661no—
1044C4⋊Q8C22×D8311yescharacteristic
1045C4⋊Q8C22×D8311yescharacteristic
1046#125—21no—
1047#125—21no—
1048#125—831no—
1049#125—831no—
1050#125—831no—
1051#125—831no—
1052#125—831no—
1053#125—831no—
1054#125—831no—
1055#125—831no—
1056#125—831no—
1057#125—831no—
1058#125—1661no—
1059#125—1661no—
1060#125—1661no—
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#125C22×D8311yescharacteristic
1073#125C22×D8311yescharacteristic
1074#125C22×D8311yescharacteristic
1075#125C22×D8311yescharacteristic
1076C22⋊Q8—21no—
1077C22⋊Q8—21no—
1078C22⋊Q8—21no—
1079C22⋊Q8—831no—
1080C22⋊Q8—831no—
1081C22⋊Q8—831no—
1082C22⋊Q8—831no—
1083C22⋊Q8—1661no—
1084C22⋊Q8—1661no—
1085C22⋊Q8—1661no—
1086C22⋊Q8—1661no—
1087C22⋊Q8—1661no—
1088C22⋊Q8—1661no—
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—
1116C4×Q8—21no—
1117C4×Q8—831no—
1118C4×Q8—831no—
1119C4×Q8—831no—
1120C4×Q8—831no—
1121C4×Q8—831no—
1122C4×Q8—831no—
1123C4×Q8—831no—
1124C4×Q8—831no—
1125C4×Q8—831no—
1126C4×Q8—831no—
1127C4×Q8—831no—
1128C4×Q8—831no—
1129C4×Q8—1661no—
1130C4×Q8—1661no—
1131C4×Q8—1661no—
1132C4×Q8—1661no—
1133C4×Q8—1661no—
1134C4×Q8—1661no—
1135C4×Q8—1661no—
1136C4×Q8—1661no—
1137C4×Q8—1661no—
1138C4×Q8—1661no—
1139C4×Q8—1661no—
1140C4×Q8—1661no—
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—1661no—
1160C4×D4—1661no—
1161C4×D4—1661no—
1162C4×D4—1661no—
1163C4×D4—1661no—
1164C4×D4—1661no—
1165C4×D4C22×D8311yescharacteristic
1166C4×D4C22×D8311yescharacteristic
1167C4×D4C22×D8311yescharacteristic
1168#117—831no—
1169#117—831no—
1170#117—831no—
1171#117—831no—
1172#117—831no—
1173#117—831no—
1174#117—1661no—
1175#117—1661no—
1176#117—1661no—
1177#117—1661no—
1178C2×C4⋊C4—21no—
1179C2×C4⋊C4—831no—
1180C2×C4⋊C4—831no—
1181C2×C4⋊C4—1661no—
1182C2×C4⋊C4—1661no—
1183C2×C4⋊C4—1661no—
1184C2×C4⋊C4—1661no—
1185C2×C4⋊C4—1661no—
1186C2×C4⋊C4—1661no—
1187C2×C22⋊C4—1661no—
1188C2×C22⋊C4—1661no—
1189C2×C22⋊C4—1661no—
1190C2×C22⋊C4—1661no—
1191C2×C22⋊C4—1661no—
1192C2×C42—831no—
1193C2×C42—1661no—
1194#107—831no—
1195#107—831no—
1196#107—831no—
1197#107—831no—
1198#107—831no—
1199#107—831no—
1200#107—831no—
1201#107—831no—
1202#107—831no—
1203#107—831no—
1204#107—831no—
1205#107—831no—
1206#107—831no—
1207#107—831no—
1208#107—831no—
1209#107—831no—
1210#107C22×D8311yescharacteristic
1211#107C22×D8311yescharacteristic
1212#107C22×D8311yescharacteristic
1213#107C22×D8311yescharacteristic
1214#106—831no—
1215#106—831no—
1216#106—831no—
1217#106—831no—
1218#106—831no—
1219#106—831no—
1220#106—831no—
1221#106—831no—
1222#106—831no—
1223#106—831no—
1224#106—831no—
1225#106C22×D8311yescharacteristic
1226#106C22×D8311yescharacteristic
1227#106C22×D8311yescharacteristic
1228#106C22×D8311yescharacteristic
1229#106C22×D8311yescharacteristic
1230C4⋊C8—831no—
1231C4⋊C8—831no—
1232C4⋊C8—831no—
1233C4⋊C8—831no—
1234C4⋊C8—831no—
1235C4⋊C8—831no—
1236C4⋊C8—831no—
1237C4⋊C8—831no—
1238C4⋊C8—831no—
1239C4⋊C8C22×D8311yescharacteristic
1240C4⋊C8C22×D8311yescharacteristic
1241C4⋊C8C22×D8311yescharacteristic
1242#103—831no—
1243#103—831no—
1244#103—831no—
1245#103—831no—
1246#103—831no—
1247#103—831no—
1248#103—831no—
1249#103—831no—
1250#103—831no—
1251#103C22×D8311yescharacteristic
1252#103C22×D8311yescharacteristic
1253#103C22×D8311yescharacteristic
1254#102—831no—
1255#102—831no—
1256#102—831no—
1257#102—831no—
1258#102—831no—
1259#102—831no—
1260#102—831no—
1261#102—831no—
1262#102—831no—
1263#102C22×D8311yescharacteristic
1264#102C22×D8311yescharacteristic
1265#102C22×D8311yescharacteristic
1266#97—831no—
1267#97—831no—
1268#97—831no—
1269#97—831no—
1270#97—831no—
1271#97—831no—
1272#97C22×D8311yescharacteristic
1273#97C22×D8311yescharacteristic
1274C4×C8—831no—
1275C4×C8—831no—
1276C4×C8—831no—
1277C4×C8C22×D8311yescharacteristic
1278C24—1661no—
1279C2×Q8—21no—
1280C2×Q8—21no—
1281C2×Q8—831no—
1282C2×Q8—831no—
1283C2×Q8—831no—
1284C2×Q8—834no—
1285C2×Q8—831no—
1286C2×Q8—6642no—
1287C2×Q8—6642no—
1288C2×Q8—1661no—
1289C2×Q8—1661no—
1290C2×Q8—1661no—
1291C2×Q8—1661no—
1292C2×Q8—1661no—
1293C2×Q8—1661no—
1294C2×Q8—1661no—
1295C2×Q8—1662no—
1296C2×Q8—1661no—
1297C2×Q8—1661no—
1298C2×Q8—1661no—
1299C2×Q8—1661no—
1300C2×Q8D4×D8311yescharacteristic
1301C2×Q8C23×D8311yescharacteristic
1302C2×D4—834no—
1303C2×D4—831no—
1304C2×D4—1662no—
1305C2×D4—1661no—
1306C2×D4C23×D8311yescharacteristic
1307C22×C4—21no—
1308C22×C4—21no—
1309C22×C4—21no—
1310C22×C4—831no—
1311C22×C4—831no—
1312C22×C4—831no—
1313C22×C4—6642no—
1314C22×C4—1661no—
1315C22×C4—1661no—
1316C22×C4—1661no—
1317C22×C4—1661no—
1318C22×C4—1661no—
1319C22×C4—1661no—
1320C22×C4—1661no—
1321C22×C4—1661no—
1322C22×C4—1661no—
1323C22×C4—1661no—
1324C22×C4—1661no—
1325C22×C4—1661no—
1326SD16—834no—
1327SD16—834no—
1328SD16—834no—
1329SD16Q8×D8314yescomplemented
1330M16—1662no—
1331M16—1662no—
1332C2×C8—831no—
1333C2×C8—834no—
1334C2×C8—831no—
1335C2×C8—831no—
1336C2×C8—831no—
1337C2×C8—1662no—
1338C2×C8C23×D8311yescharacteristic
1339C2×C8C23×D8311yescharacteristic
1340C2×C8C23×D8311yescharacteristic
1341C2×C8C23×D8311yescharacteristic
1342C4⋊C4—21no—
1343C4⋊C4—21no—
1344C4⋊C4—21no—
1345C4⋊C4—21no—
1346C4⋊C4—21no—
1347C4⋊C4—21no—
1348C4⋊C4—21no—
1349C4⋊C4—21no—
1350C4⋊C4—21no—
1351C4⋊C4—21no—
1352C4⋊C4—21no—
1353C4⋊C4—21no—
1354C4⋊C4—21no—
1355C4⋊C4—831no—
1356C4⋊C4—831no—
1357C4⋊C4—831no—
1358C4⋊C4—831no—
1359C4⋊C4—831no—
1360C4⋊C4—831no—
1361C4⋊C4—831no—
1362C4⋊C4—831no—
1363C4⋊C4—831no—
1364C4⋊C4—831no—
1365C4⋊C4—831no—
1366C4⋊C4—831no—
1367C4⋊C4—831no—
1368C4⋊C4—831no—
1369C4⋊C4—831no—
1370C4⋊C4—831no—
1371C4⋊C4—831no—
1372C4⋊C4—831no—
1373C4⋊C4—831no—
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⋊C4—1661no—
1409C4⋊C4—1661no—
1410C4⋊C4—1661no—
1411C4⋊C4D4×D8311yescharacteristic
1412C4⋊C4D4×D8311yescharacteristic
1413C4⋊C4D4×D8311yescharacteristic
1414C4⋊C4C23×D8311yescharacteristic
1415C4⋊C4C23×D8311yescharacteristic
1416C4⋊C4C23×D8311yescharacteristic
1417C4⋊C4C23×D8311yescharacteristic
1418C4⋊C4C23×D8311yescharacteristic
1419C4⋊C4C23×D8311yescharacteristic
1420C22⋊C4—21no—
1421C22⋊C4—21no—
1422C22⋊C4—21no—
1423C22⋊C4—831no—
1424C22⋊C4—831no—
1425C22⋊C4—831no—
1426C22⋊C4—831no—
1427C22⋊C4—1661no—
1428C22⋊C4—1661no—
1429C22⋊C4—1661no—
1430C22⋊C4—1661no—
1431C22⋊C4—1661no—
1432C22⋊C4—1661no—
1433C22⋊C4—1661no—
1434C22⋊C4—1661no—
1435C22⋊C4—1661no—
1436C22⋊C4—1661no—
1437C22⋊C4—1661no—
1438C22⋊C4—1661no—
1439C22⋊C4—1661no—
1440C42—21no—
1441C42—21no—
1442C42—21no—
1443C42—831no—
1444C42—831no—
1445C42—831no—
1446C42—831no—
1447C42—831no—
1448C42—1661no—
1449C42—1661no—
1450C42—1661no—
1451C42—1661no—
1452C42—1661no—
1453C42—1661no—
1454C42—1661no—
1455C42—1661no—
1456C42—1661no—
1457C42—1661no—
1458C42—1661no—
1459C42—1661no—
1460C42—1661no—
1461C42C23×D8311yescharacteristic
1462C42C23×D8311yescharacteristic
1463C42C23×D8311yescharacteristic
1464C23—21no—
1465C23—831no—
1466C23—6641no—
1467C23—6641no—
1468C23—1664no—
1469C23—1661no—
1470Q8—21no—
1471Q8—41no—
1472Q8—81no—
1473Q8—81no—
1474Q8—3322no—
1475Q8—3321no—
1476Q8—3321no—
1477Q8—3321no—
1478Q8—3322no—
1479Q8—832no—
1480Q8—6641no—
1481Q8—6641no—
1482Q8—6641no—
1483Q8—6641no—
1484Q8—6641no—
1485Q8—6641no—
1486Q8—6641no—
1487Q8—6641no—
1488Q8—1664no—
1489Q8—1661no—
1490Q8C2×Q8×D8312yes—
1491D4—21no—
1492D4—832no—
1493D4—1664no—
1494D4—1661no—
1495D4C2×Q8×D8312yes—
1496C2×C4—21no—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—42no—
1504C2×C4—81no—
1505C2×C4—81no—
1506C2×C4—3322no—
1507C2×C4—3321no—
1508C2×C4—3321no—
1509C2×C4—831no—
1510C2×C4—832no—
1511C2×C4—832no—
1512C2×C4—831no—
1513C2×C4—831no—
1514C2×C4—831no—
1515C2×C4—831no—
1516C2×C4—831no—
1517C2×C4—831no—
1518C2×C4—6641no—
1519C2×C4—6641no—
1520C2×C4—6641no—
1521C2×C4—6641no—
1522C2×C4—6641no—
1523C2×C4—6641no—
1524C2×C4—6641no—
1525C2×C4—6641no—
1526C2×C4—6641no—
1527C2×C4—6641no—
1528C2×C4—1664no—
1529C2×C4—1661no—
1530C2×C4—1661no—
1531C2×C4—1661no—
1532C2×C4—1661no—
1533C2×C4—1661no—
1534C2×C4—1661no—
1535C2×C4—1661no—
1536C2×C4C2×D4×D8311yescharacteristic
1537C2×C4C2×D4×D8311yescharacteristic
1538C2×C4C2×D4×D8311yescharacteristic
1539C2×C4C2×D4×D8311yescharacteristic
1540C2×C4C2×D4×D8311yescharacteristic
1541C2×C4C2×D4×D8311yescharacteristic
1542C2×C4C24×D8311yescharacteristic
1543C8—21no—
1544C8—21no—
1545C8—21no—
1546C8—832no—
1547C8—1661no—
1548C8—1661no—
1549C8—1661no—
1550C8C2×Q8×D8312yes—
1551C22—22no—
1552C22—41no—
1553C22—41no—
1554C22—3321no—
1555C22—3321no—
1556C22—832no—
1557C22—6644no—
1558C22—1662no—
1559C22—1661no—
1560C22—1661no—
1561C22C22×D4×D8311yescharacteristic
1562C4—22no—
1563C4—21no—
1564C4—21no—
1565C4—21no—
1566C4—21no—
1567C4—21no—
1568C4—21no—
1569C4—41no—
1570C4—41no—
1571C4—41no—
1572C4—41no—
1573C4—41no—
1574C4—41no—
1575C4—3321no—
1576C4—3321no—
1577C4—3321no—
1578C4—3321no—
1579C4—3321no—
1580C4—3321no—
1581C4—832no—
1582C4—1662no—
1583C4—1661no—
1584C4—1661no—
1585C4—1661no—
1586C4—1661no—
1587C4—1661no—
1588C4—1661no—
1589C4C22×Q8×D8311yescharacteristic
1590C42−1+4×D8311yescharacteristic
1591C2—42no—
1592C2—3322no—
1593C2—1662no—
1594C2D4×Q8×D8311yescharacteristic
1595C2#2492224011yescharacteristic
1596C2#2492224511yescharacteristic
subgroupG/H
centerC22C22×D4×D83
commutator, cosocleC2×C4×C83C25
FrattiniC2×C4C24×D83
FittingC83×#3388C2
socleC22×C83C23×D4
prime radicalC2×D4×D83C23
hypercenter#3388D83
hypocenterC83#61377
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. #24921270C2semidirect
3. #24920415C2semidirect
4. #24920414C2semidirect
5. #24920413C2semidirect
6. #24920408C2semidirect
7. #24920407C2semidirect
8. #24920406C2semidirect
9. #24920405C2semidirect
10. #24920386C2semidirect
11. #24920385C2semidirect
12. #24920380C2semidirect
13. #24920379C2semidirect
14. #24920377C2semidirect
15. #24920376C2semidirect
16. #24920371C2semidirect
17. #24920370C2semidirect
18. #24918000C2semidirect
19. #24917998C2semidirect
20. #24917984C2semidirect
21. #24917304C2semidirect
22. #24917302C2semidirect
25. #24917263C2semidirect
27. #24916399C2semidirect
31. C83×#3388C2semidirect
33. Q8×Dic166C22semidirect
35. #19128431C22semidirect
37. #19128429C22semidirect
40. #19128428C22semidirect
41. #19128428C22semidirect
42. #19128427C22semidirect
43. #19128427C22semidirect
76. #19128111C22semidirect
77. #19128111C22semidirect
78. #19128111C22semidirect
79. #19128110C22semidirect
80. #19128110C22semidirect
81. #19128109C22semidirect
82. #19128109C22semidirect
83. #19128109C22semidirect
84. #19128108C22semidirect
85. #19128108C22semidirect
86. #19128108C22semidirect
87. #19128108C22semidirect
88. #19128108C22semidirect
89. #19128107C22semidirect
90. #19128106C22semidirect
91. #19128105C22semidirect
92. #19128105C22semidirect
93. #19128104C22semidirect
94. #19128102C22semidirect
95. #19128101C22semidirect
96. #19128100C22semidirect
97. #19128011C22semidirect
98. #19128011C22semidirect
99. #19128011C22semidirect
100. #19128010C22semidirect
101. #19128010C22semidirect
102. #19128010C22semidirect
103. #19128007C22semidirect
104. #19128006C22semidirect
105. #19128005C22semidirect
106. #19128005C22semidirect
117. #19127997C22semidirect
118. #19127997C22semidirect
119. #19127996C22semidirect
120. #19127996C22semidirect
121. #19127995C22semidirect
122. #19127994C22semidirect
128. #19127987C22semidirect
129. #19127986C22semidirect
130. #19127985C22semidirect
131. #19127984C22semidirect
132. #19127983C22semidirect
139. #19127832C22semidirect
140. #19127831C22semidirect
141. #19127830C22semidirect
142. #19127830C22semidirect
143. #19127829C22semidirect
144. #19127829C22semidirect
145. #19127828C22semidirect
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. SD16×D83Q8semidirect
498. Q8×D83C2×Q8semidirect
519. #13050579C2×Q8semidirect
520. #13050578C2×Q8semidirect
521. #13050577C2×Q8semidirect
529. C8×D83C2×Q8semidirect
629. SD16×C83C2×Q8semidirect
808. #3388D83semidirect
830. C83#61377semidirect
843. #557C2×D83semidirect
891. #501C2×D83semidirect
892. #501C2×D83semidirect
900. #499C2×D83semidirect
911. #479C2×D83semidirect
912. #479C2×D83semidirect
942. #475C2×D83semidirect
956. #446C2×D83semidirect
1329. SD16Q8×D83semidirect

Maximal subgroups

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

subgroupindex
#249212702
#249212602
#249204152
#249204142
#249204132
#249204082
#249204072
#249204062
#249204052
#249203862
#249203852
#249203802
#249203792
#249203772
#249203762
#249203712
#249203702
#249180002
#249179982
#249179842
#249173042
#249173022
#249172912
#249172892
#249172632
#249172582
#249163992
#249163192
#249163172
#440×D832
C83×#33882
#6137783