Finite Group Databasebeta

← #25988682

Subgroups — #25988682

Order 11008.

1766 conjugacy classes of subgroups.

The subgroup lattice has 1726 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19149094C211yesmaximal, characteristic, complemented
2#19148466C211yesmaximal, characteristic, complemented
3#19147683C211yesmaximal, characteristic, complemented
4#19147681C211yesmaximal, characteristic, complemented
5#19147659C211yesmaximal, characteristic, complemented
6#19147657C211yesmaximal, characteristic, complemented
7#19147638C211yesmaximal, characteristic, complemented
8#19147632C211yesmaximal, characteristic, complemented
9#19147618C211yesmaximal, characteristic, complemented
10#19147616C211yesmaximal, characteristic, complemented
11#19147370C211yesmaximal, characteristic, complemented
12#19147368C211yesmaximal, characteristic, complemented
13#19147355C211yesmaximal, characteristic, complemented
14#19147353C211yesmaximal, characteristic, complemented
15#19147323C211yesmaximal, characteristic, complemented
16#19147322C211yesmaximal, characteristic, complemented
17#19147301C211yesmaximal, characteristic, complemented
18#19147300C211yesmaximal, characteristic, complemented
19#19145691C211yesmaximal, characteristic, complemented
20#19145683C211yesmaximal, characteristic, complemented
21#19145663C211yesmaximal, characteristic, complemented
22#19145641C211yesmaximal, characteristic, complemented
23#19145616C211yesmaximal, characteristic, complemented
24#19145611C211yesmaximal, characteristic, complemented
25#19144843C211yesmaximal, characteristic, complemented
26#19144834C211yesmaximal, characteristic, complemented
27#19144779C211yesmaximal, characteristic, complemented
28#19144707C211yesmaximal, characteristic, complemented
29#19144699C211yesmaximal, characteristic, complemented
30#19143699C211yesmaximal, characteristic, complemented
31C43×#3118C211yesmaximal, characteristic, complemented
32#14583651—21no—
33#14583650—21no—
34#14583632C2211yescharacteristic
35#14583632C2211yescharacteristic
36#14583632C2211yescharacteristic
37#14583632C2211yescharacteristic
38#14583632C2211yescharacteristic, complemented
39#14583631C2211yescharacteristic, complemented
40#14583628C2211yescharacteristic, complemented
41#14583624C2211yescharacteristic, complemented
42#14583621C2211yescharacteristic, complemented
43#14583618C2211yescharacteristic, complemented
44#14583610C2211yescharacteristic, complemented
45#14583606C2211yescharacteristic, complemented
46#14583591—21no—
47#14583585—21no—
48#14583570C2211yescharacteristic
49#14583570C2211yescharacteristic
50#14583570C2211yescharacteristic
51#14583570C2211yescharacteristic
52#14583539—21no—
53#14583539—21no—
54#14583539—21no—
55#14583539—21no—
56#14583520C2211yescharacteristic
57#14583518—21no—
58#14583513—21no—
59#14583509C2211yescharacteristic
60#14583502C2211yescharacteristic
61#14583500—21no—
62#14583500—21no—
63#14583493—21no—
64#14583492—21no—
65#14583468C2211yescharacteristic
66#14583466C2211yescharacteristic
67#14583452C2211yescharacteristic
68#14583446—21no—
69#14583446—21no—
70C2×#13063321C2211yescharacteristic
71#14583435C2211yescharacteristic
72#14583430C2211yescharacteristic
73#14583373C2211yescharacteristic
74#14583367C2211yescharacteristic
75#14583290C2211yescharacteristic, complemented
76#14583289C2211yescharacteristic, complemented
77#14583288C2211yescharacteristic, complemented
78#14583287C2211yescharacteristic
79#14583287C2211yescharacteristic
80#14583287C2211yescharacteristic, complemented
81#14583285C2211yescharacteristic
82#14583285C2211yescharacteristic
83#14583283C2211yescharacteristic, complemented
84#14583281C2211yescharacteristic, complemented
85#14583274C2211yescharacteristic, complemented
86#14583270C2211yescharacteristic, complemented
87#14583262C2211yescharacteristic
88#14583262C2211yescharacteristic
89#14583262C2211yescharacteristic
90#14583262C2211yescharacteristic
91#14583262C2211yescharacteristic, complemented
92#14583262C2211yescharacteristic, complemented
93#14583261C2211yescharacteristic, complemented
94#14583259C2211yescharacteristic, complemented
95#14583252C2211yescharacteristic, complemented
96#14583252C2211yescharacteristic, complemented
97#14583247C2211yescharacteristic, complemented
98#14583246C2211yescharacteristic, complemented
99#14583240C2211yescharacteristic
100#14583223C2211yescharacteristic
101#14583209C2211yescharacteristic, complemented
102#14583205C2211yescharacteristic, complemented
103#14583202C2211yescharacteristic, complemented
104#14583202C2211yescharacteristic, complemented
105#14583202C2211yescharacteristic, complemented
106#14583198C2211yescharacteristic, complemented
107#14583198C2211yescharacteristic, complemented
108#14583198C2211yescharacteristic, complemented
109#14583189C2211yescharacteristic, complemented
110#14583179C2211yescharacteristic, complemented
111#14583124C2211yescharacteristic, complemented
112#14583122C2211yescharacteristic, complemented
113#14583121C2211yescharacteristic, complemented
114#14583120C2211yescharacteristic, complemented
115#14583120C2211yescharacteristic, complemented
116#14583119C2211yescharacteristic, complemented
117#14583117C2211yescharacteristic, complemented
118#14583115C2211yescharacteristic, complemented
119#14583114C2211yescharacteristic, complemented
120#14583114C2211yescharacteristic, complemented
121#14583114C2211yescharacteristic, complemented
122#14583113C2211yescharacteristic, complemented
123#14583113C2211yescharacteristic, complemented
124#14583112C2211yescharacteristic, complemented
125#14583103C2211yescharacteristic, complemented
126#14583103C2211yescharacteristic, complemented
127#14583100C2211yescharacteristic, complemented
128#14583099C2211yescharacteristic, complemented
129#14583098C2211yescharacteristic
130#14583098C2211yescharacteristic
131#14583098C2211yescharacteristic, complemented
132#14583097C2211yescharacteristic
133#14583097C2211yescharacteristic
134#14583097C2211yescharacteristic, complemented
135#14583095C2211yescharacteristic, complemented
136#14583094C2211yescharacteristic, complemented
137#14583093C2211yescharacteristic
138#14583093C2211yescharacteristic
139#14583093C2211yescharacteristic, complemented
140#14583093C2211yescharacteristic, complemented
141#14583093C2211yescharacteristic, complemented
142#14583092C2211yescharacteristic
143#14583092C2211yescharacteristic
144#14583092C2211yescharacteristic, complemented
145#14583063C2211yescharacteristic
146#14583059C2211yescharacteristic
147#14583052C2211yescharacteristic
148#14583050C2211yescharacteristic
149#14583049C2211yescharacteristic
150#14583046C2211yescharacteristic
151#14583042C2211yescharacteristic
152#14583035C2211yescharacteristic
153#14583033C2211yescharacteristic
154#14583032C2211yescharacteristic
155#14583029C2211yescharacteristic, complemented
156#14583029C2211yescharacteristic, complemented
157#14583028C2211yescharacteristic, complemented
158#14583028C2211yescharacteristic, complemented
159#14583027C2211yescharacteristic, complemented
160#14583027C2211yescharacteristic, complemented
161#14583026C2211yescharacteristic, complemented
162#14583026C2211yescharacteristic, complemented
163#14583010C2211yescharacteristic, complemented
164#14583010C2211yescharacteristic, complemented
165#14583009C2211yescharacteristic, complemented
166#14583008C2211yescharacteristic, complemented
167#14583008C2211yescharacteristic, complemented
168#14583005C2211yescharacteristic, complemented
169#14583003C2211yescharacteristic, complemented
170#14583002C2211yescharacteristic, complemented
171#14583002C2211yescharacteristic, complemented
172#14582999C2211yescharacteristic, complemented
173#14582998C2211yescharacteristic, complemented
174#14582998C2211yescharacteristic, complemented
175#14582998C2211yescharacteristic, complemented
176#14582996C2211yescharacteristic, complemented
177#14582986C2211yescharacteristic, complemented
178C4×#10621883C2211yescharacteristic, complemented
179#14582984C2211yescharacteristic, complemented
180#14582981C2211yescharacteristic, complemented
181C4×#10621882C2211yescharacteristic, complemented
182#14582979C2211yescharacteristic, complemented
183#14582960C2211yescharacteristic
184#14582957C2211yescharacteristic
185#14582957C2211yescharacteristic
186#14582953C2211yescharacteristic
187#14582953C2211yescharacteristic
188C43×#542C2211yescharacteristic
189C43×#518C2211yescharacteristic
190C43×#485C2211yescharacteristic
191C43×#482C2211yescharacteristic
192C43×#476C2211yescharacteristic, complemented
193C43×#474C2211yescharacteristic, complemented
194C43×#463C2211yescharacteristic, complemented
195C43×#463C2211yescharacteristic, complemented
196C43×#450C2211yescharacteristic
197C43×#447C2211yescharacteristic
198C43×#442C2211yescharacteristic, complemented
199C43×#440C2211yescharacteristic, complemented
200C4×SD16×C43C2211yescharacteristic, complemented
201C4×D8×C43C2211yescharacteristic, complemented
202C43×#433C2211yescharacteristic
203C2×#10621898—21no—
204C2×#10621898—21no—
205C2×#10621898—21no—
206C2×#10621898—21no—
207C2×#10621898C2311yescharacteristic
208C22×D172C2311yescharacteristic
209C22×C22⋊D43—21no—
210C22×C22⋊D43—21no—
211C2×Dic172C2311yescharacteristic
212C2×#10621885C2311yescharacteristic
213C2×#10621873C2311yescharacteristic
214C2×#10621873C2311yescharacteristic
215C2×#10621873C2311yescharacteristic
216C2×#10621873C2311yescharacteristic
217C2×#10621883C2311yescharacteristic
218C2×#10621883C2311yescharacteristic
219C2×#10621883C2311yescharacteristic
220C2×#10621884C2311yescharacteristic
221C2×#10621884C2311yescharacteristic
222C2×#10621884C2311yescharacteristic
223C2×D344C2311yescharacteristic
224C2×D344C2311yescharacteristic
225C2×D344C2311yescharacteristic
226C2×#10621882C2311yescharacteristic
227C2×#10621882C2311yescharacteristic
228C2×#10621882C2311yescharacteristic
229C2×#10621882C2311yescharacteristic
230C2×#10621882C2311yescharacteristic
231#13063325—21no—
232#13063325C2311yescharacteristic
233#13063324D411yescharacteristic
234#13063324D411yescharacteristic
235#13063323—21no—
236#13063323C2311yescharacteristic
237#13063322C2311yescharacteristic
238#13063322C2311yescharacteristic
239#13063321—21no—
240#13063321—21no—
241#13063321C2311yescharacteristic
242#13063321C2311yescharacteristic
243#13063321C2311yescharacteristic
244#13063321C2311yescharacteristic
245#13063321C2311yescharacteristic
246#13063321C2311yescharacteristic
247#13063321C2311yescharacteristic
248#13063320—21no—
249#13063320—21no—
250#13063320—21no—
251#13063319—21no—
252#13063318—21no—
253#13063318—21no—
254#13063318—21no—
255#13063318—21no—
256#13063318—21no—
257#13063316—21no—
258#13063316—21no—
259#13063316—21no—
260#13063316D411yescharacteristic
261#13063316D411yescharacteristic
262#13063316C2311yescharacteristic
263#13063316C2311yescharacteristic
264#13063316C2311yescharacteristic
265#13063316C2311yescharacteristic
266#13063315—21no—
267#13063315—21no—
268#13063315—21no—
269#13063314C2311yescharacteristic
270#13063313C2311yescharacteristic
271#13063313C2311yescharacteristic
272#13063313C2311yescharacteristic
273#13063312C2311yescharacteristic
274#13063312C2311yescharacteristic
275#13063312C2311yescharacteristic
276#13063311—21no—
277#13063311—21no—
278#13063311—21no—
279#13063311—21no—
280#13063311—21no—
281#13063311—21no—
282#13063311—21no—
283#13063309—21no—
284#13063309—21no—
285#13063309—21no—
286#13063308—21no—
287#13063308—21no—
288#13063308—21no—
289#13063308—21no—
290#13063308—21no—
291#13063307—21no—
292#13063307—21no—
293#13063307—21no—
294#13063307—21no—
295#13063307—21no—
296#13063307—21no—
297#13063307—21no—
298#13063307—21no—
299#13063306—21no—
300#13063305—21no—
301#13063304—21no—
302#13063304C2311yescharacteristic
303#13063303—21no—
304#13063303—21no—
305#13063302—21no—
306#13063302—21no—
307#13063302—21no—
308#13063302D411yescharacteristic
309#13063302D411yescharacteristic
310#13063302D411yescharacteristic
311#13063302D411yescharacteristic
312#13063301—21no—
313#13063301—21no—
314#13063300—21no—
315#13063300—21no—
316#13063299—21no—
317#13063299—21no—
318#13063299—21no—
319#13063299—21no—
320#13063299C2311yescharacteristic
321#13063298—21no—
322#13063298—21no—
323#13063298—21no—
324#13063298—21no—
325#13063298—21no—
326#13063298—21no—
327#13063298—21no—
328#13063298—21no—
329#13063297—21no—
330#13063296—21no—
331#13063296—21no—
332#13063296—21no—
333#13063295—21no—
334#13063295—21no—
335#13063294—21no—
336#13063294—21no—
337Q8×Dic43—21no—
338Q8×Dic43C2311yescharacteristic
339Q8×Dic43C2311yescharacteristic
340C4×Dic86—21no—
341C4×Dic86C2311yescharacteristic
342C4×Dic86C2311yescharacteristic
343C4×Dic86C2311yescharacteristic
344C4×Dic86C2311yescharacteristic
345C4×Dic86C2311yescharacteristic
346#13063290C2311yescharacteristic
347#13063290C2311yescharacteristic
348#13063290C2311yescharacteristic
349#13063290C2311yescharacteristic
350C4×D172—21no—
351C4×D172—21no—
352C4×D172C2311yescharacteristic
353D4×Dic43—21no—
354D4×Dic43C2311yescharacteristic
355D4×Dic43C2311yescharacteristic
356#13063287C2311yescharacteristic
357#13063287C2311yescharacteristic
358#13063287C2311yescharacteristic
359#13063287C2311yescharacteristic
360#13063287C2311yescharacteristic
361#13063287C2311yescharacteristic
362#13063287C2311yescharacteristic
363#13063287C2311yescharacteristic
364C4×C22⋊D43—21no—
365C4×C22⋊D43—21no—
366C4×C22⋊D43—21no—
367C4×C22⋊D43—21no—
368C4×C22⋊D43—21no—
369(C22⋊D43)⋊C4—21no—
370(C22⋊D43)⋊C4—21no—
371(C22⋊D43)⋊C4—21no—
372(C22⋊D43)⋊C4—21no—
373#13063284C2311yescharacteristic
374#13063283—21no—
375#13063282—21no—
376#13063282—21no—
377#13063281—21no—
378#13063281—21no—
379C2×C4⋊Dic43—21no—
380C4⋊C4×D43—21no—
381C22⋊C4×D43—21no—
382C22⋊C4×D43—21no—
383C2×C4×Dic43C2311yescharacteristic
384C42×D43—21no—
385#13063258C2311yescharacteristic
386#13063258C2311yescharacteristic
387#13063256C2311yescharacteristic
388#13063256C2311yescharacteristic
389C4⋊(C43⋊C8)C2311yescharacteristic
390C4⋊(C43⋊C8)C2311yescharacteristic
391Dic43⋊C8C2311yescharacteristic
392Dic43⋊C8C2311yescharacteristic
393Dic43⋊C8C2311yescharacteristic
394Dic43⋊C8C2311yescharacteristic
395Dic43⋊C8C2311yescharacteristic
396Dic43⋊C8C2311yescharacteristic
397Dic43⋊C8C2311yescharacteristic
398Dic43⋊C8C2311yescharacteristic
399#13063250C2311yescharacteristic
400#13063250C2311yescharacteristic
401#13063248C2311yescharacteristic
402#13063248C2311yescharacteristic
403#13063248C2311yescharacteristic
404#13063248C2311yescharacteristic
405#13063247C2311yescharacteristic
406#13063247C2311yescharacteristic
407#13063247C2311yescharacteristic
408#13063247C2311yescharacteristic
409#13063247C2311yescharacteristic
410#13063247C2311yescharacteristic
411#13063246C2311yescharacteristic
412#13063246C2311yescharacteristic
413#13063246C2311yescharacteristic
414#13063246C2311yescharacteristic
415#13063245C2311yescharacteristic
416#13063245C2311yescharacteristic
417#13063245C2311yescharacteristic
418#13063245C2311yescharacteristic
419#13063245C2311yescharacteristic
420#13063245C2311yescharacteristic
421#13063245C2311yescharacteristic
422#13063245C2311yescharacteristic
423C22⋊(C43⋊C8)C2311yescharacteristic
424C22⋊(C43⋊C8)C2311yescharacteristic
425#13063236C2311yescharacteristic
426#13063235C2311yescharacteristic
427#13063235C2311yescharacteristic
428#13063235C2311yescharacteristic
429#13063235C2311yescharacteristic
430#13063235C2311yescharacteristic
431#13063235C2311yescharacteristic
432C4×C43⋊C8C2311yescharacteristic
433C8×Dic43C2311yescharacteristic
434C8×Dic43C2311yescharacteristic
435C22×D4×C43C2311yescharacteristic
436C2×SD16×C43C2311yescharacteristic
437C2×SD16×C43C2311yescharacteristic
438C2×D8×C43C2311yescharacteristic
439C2×D8×C43C2311yescharacteristic
440C4⋊Q8×C43C2311yescharacteristic
441#126×C43—21no—
442#124×C43—21no—
443#124×C43C2311yescharacteristic
444#123×C43—21no—
445C22⋊Q8×C43—21no—
446C22⋊Q8×C43C2311yescharacteristic
447#121×C43C2311yescharacteristic
448C4×Q8×C43C2311yescharacteristic
449C4×D4×C43—21no—
450C4×D4×C43—21no—
451C4×D4×C43C2311yescharacteristic
452C4×D4×C43C2311yescharacteristic
453C4×D4×C43C2311yescharacteristic
454C4×D4×C43C2311yescharacteristic
455C4×D4×C43C2311yescharacteristic
456#117×C43C2311yescharacteristic
457#117×C43C2311yescharacteristic
458C2×C22⋊C4×C43—21no—
459C2×C22⋊C4×C43—21no—
460#107×C43C2311yescharacteristic
461#107×C43C2311yescharacteristic
462#106×C43C2311yescharacteristic
463#106×C43C2311yescharacteristic
464C4⋊C8×C43C2311yescharacteristic
465C4⋊C8×C43C2311yescharacteristic
466#103×C43C2311yescharacteristic
467#103×C43C2311yescharacteristic
468#102×C43C2311yescharacteristic
469#102×C43C2311yescharacteristic
470#102×C43C2311yescharacteristic
471#102×C43C2311yescharacteristic
472#102×C43C2311yescharacteristic
473#102×C43C2311yescharacteristic
474C22⋊C8×C43C2311yescharacteristic
475C22⋊C8×C43C2311yescharacteristic
476#97×C43C2311yescharacteristic
477C4×C8×C43C2311yescharacteristic
478C24×C43—21no—
479C23×D43—21no—
480C2×Q8×C43—21no—
481C2×Q8×C43C2411yescharacteristic
482C2×D4×C43—21no—
483C2×D4×C43—21no—
484C2×D4×C43—41no—
485C2×D4×C43—41no—
486C2×D4×C43C2411yescharacteristic
487C2×D4×C43C2411yescharacteristic
488C2×D4×C43C2411yescharacteristic
489C22×C4×C43—21no—
490C22×C4×C43—21no—
491C22×C4×C43—21no—
492C22×C4×C43—21no—
493C22×C4×C43—21no—
494C22×C4×C43C2411yescharacteristic
495C2×C22⋊D43—21no—
496C2×C22⋊D43—21no—
497C2×C22⋊D43—21no—
498C2×C22⋊D43—21no—
499C2×C22⋊D43—21no—
500C2×C22⋊D43—21no—
501C2×C22⋊D43—21no—
502C2×C22⋊D43—21no—
503C2×C22⋊D43—21no—
504C2×C22⋊D43—21no—
505C2×C22⋊D43—21no—
506C2×C22⋊D43—21no—
507C2×C22⋊D43—21no—
508C2×C22⋊D43—21no—
509C2×C22⋊D43—21no—
510C2×C22⋊D43—21no—
511C2×C22⋊D43—82no—
512C2×C22⋊D43—82no—
513C22×Dic43—21no—
514C22×Dic43—21no—
515C22×Dic43C2×D411yescharacteristic
516C22×Dic43C2×D411yescharacteristic
517#10621898—41no—
518#10621898—41no—
519#10621898—82no—
520#10621898—82no—
521#10621898—82no—
522#10621898—82no—
523C2×D172—21no—
524C2×D172—21no—
525C2×D172—21no—
526C2×D172—21no—
527C2×D172—21no—
528C2×D172—41no—
529C2×D172—41no—
530C2×D172C2411yescharacteristic
531C2×D172C2411yescharacteristic
532C2×D172C2411yescharacteristic
533C2×D172C2411yescharacteristic
534C2×C4×D43—21no—
535C2×C4×D43—21no—
536C2×C4×D43—21no—
537C2×C4×D43—21no—
538C2×C4×D43—21no—
539C2×C4×D43—21no—
540C2×C4×D43—21no—
541C2×C4×D43—21no—
542C2×C4×D43—21no—
543C2×C4×D43—21no—
544C2×Dic86—21no—
545C2×Dic86C2×D411yescharacteristic
546C2×Dic86C2×D411yescharacteristic
547C2×Dic86C2×D411yescharacteristic
548C2×Dic86C2×D411yescharacteristic
549C2×Dic86C2411yescharacteristic
550C2×Dic86C2411yescharacteristic
551SD16×C43—41no—
552SD16×C43—41no—
553D8×C43—41no—
554D8×C43—41no—
555C2×C8×C43C2411yescharacteristic
556C2×C8×C43C2411yescharacteristic
557C2×C8×C43C2411yescharacteristic
558C2×C8×C43C2411yescharacteristic
559C4⋊C4×C43—21no—
560C4⋊C4×C43—21no—
561C4⋊C4×C43—21no—
562C4⋊C4×C43C2×D411yescharacteristic
563C4⋊C4×C43C2×D411yescharacteristic
564C4⋊C4×C43C2411yescharacteristic
565C4⋊C4×C43C2411yescharacteristic
566C4⋊C4×C43C2411yescharacteristic
567C4⋊C4×C43C2411yescharacteristic
568C22⋊C4×C43—21no—
569C22⋊C4×C43—21no—
570C22⋊C4×C43—21no—
571C22⋊C4×C43—21no—
572C22⋊C4×C43—21no—
573C22⋊C4×C43—21no—
574C22⋊C4×C43—21no—
575C22⋊C4×C43—21no—
576C22⋊C4×C43—21no—
577C22⋊C4×C43—21no—
578C22⋊C4×C43C2×D411yescharacteristic
579C22⋊C4×C43C2×D411yescharacteristic
580C42×C43—21no—
581C42×C43—21no—
582C42×C43C2411yescharacteristic
583C42×C43C2411yescharacteristic
584C22⋊Dic43—21no—
585C22⋊Dic43—21no—
586C22⋊Dic43—21no—
587C22⋊Dic43—21no—
588C22⋊Dic43—21no—
589C22⋊Dic43—21no—
590C22⋊Dic43—21no—
591C22⋊Dic43—21no—
592C22⋊Dic43—21no—
593C22⋊Dic43C2×D411yescharacteristic
594C22⋊Dic43C2×D411yescharacteristic
595#10621885—41no—
596#10621884—41no—
597#10621884—41no—
598#10621884—41no—
599#10621883—41no—
600#10621883—41no—
601#10621883—41no—
602#10621882—41no—
603#10621882—41no—
604#10621882—41no—
605#10621882—41no—
606#10621882—41no—
607(C2×D43)⋊C4—21no—
608(C2×D43)⋊C4—21no—
609(C2×D43)⋊C4—21no—
610(C2×D43)⋊C4—21no—
611(C2×D43)⋊C4—21no—
612(C2×D43)⋊C4—21no—
613(C2×D43)⋊C4—21no—
614(C2×D43)⋊C4—21no—
615(C2×D43)⋊C4—21no—
616(C2×D43)⋊C4—21no—
617(C2×D43)⋊C4—21no—
618(C2×D43)⋊C4—21no—
619(C2×D43)⋊C4—21no—
620(C2×D43)⋊C4—21no—
621(C2×D43)⋊C4—21no—
622(C2×D43)⋊C4—21no—
623(C2×D43)⋊C4—21no—
624(C2×D43)⋊C4—21no—
625C4⋊Dic43—21no—
626C4⋊Dic43—21no—
627C4⋊Dic43—21no—
628C4⋊Dic43—21no—
629C4⋊Dic43—21no—
630C4⋊Dic43—21no—
631C4⋊Dic43—21no—
632C4⋊Dic43C2×D411yescharacteristic
633C4⋊Dic43C2×D411yescharacteristic
634C4⋊Dic43C2×D411yescharacteristic
635C4⋊Dic43C2×D411yescharacteristic
636C4⋊Dic43C2×D411yescharacteristic
637C4⋊Dic43C2×D411yescharacteristic
638C4⋊Dic43C2411yescharacteristic
639C4⋊Dic43C2411yescharacteristic
640Dic43⋊C4—21no—
641Dic43⋊C4—21no—
642Dic43⋊C4—21no—
643Dic43⋊C4—21no—
644Dic43⋊C4—21no—
645Dic43⋊C4—21no—
646Dic43⋊C4—21no—
647Dic43⋊C4—21no—
648Dic43⋊C4—21no—
649Dic43⋊C4—21no—
650Dic43⋊C4—21no—
651Dic43⋊C4—21no—
652Dic43⋊C4C2×D411yescharacteristic
653Dic43⋊C4C2×D411yescharacteristic
654Dic43⋊C4C2×D411yescharacteristic
655Dic43⋊C4C2×D411yescharacteristic
656Dic43⋊C4C2×D411yescharacteristic
657Dic43⋊C4C2×D411yescharacteristic
658Dic43⋊C4C2×D411yescharacteristic
659Dic43⋊C4C2×D411yescharacteristic
660C4×Dic43—21no—
661C4×Dic43—21no—
662C4×Dic43—21no—
663C4×Dic43—21no—
664C4×Dic43—21no—
665C4×Dic43—21no—
666C4×Dic43—21no—
667C4×Dic43C2×D411yescharacteristic
668C4×Dic43C2×D411yescharacteristic
669C4×Dic43C2411yescharacteristic
670C4×Dic43C2411yescharacteristic
671C4×Dic43C2411yescharacteristic
672C4×Dic43C2411yescharacteristic
673C2×C43⋊C8C2411yescharacteristic
674C2×C43⋊C8C2411yescharacteristic
675C2×C43⋊C8C2411yescharacteristic
676C2×C43⋊C8C2411yescharacteristic
677Dic172—41no—
678D344—41no—
679D344—41no—
680D344—41no—
681#10621873—41no—
682#10621873—41no—
683#10621873—41no—
684#10621873—41no—
685C23×C43—21no—
686C23×C43—21no—
687C23×C43—21no—
688C23×C43—42no—
689C23×C43—81no—
690C23×C43—81no—
691C23×C43C22×D411yescharacteristic
692C22×D43—21no—
693C22×D43—21no—
694C22×D43—21no—
695C22×D43—21no—
696C22×D43—42no—
697C22×D43—81no—
698C22×D43—81no—
699Q8×C43—21no—
700Q8×C43—21no—
701Q8×C43—81no—
702D4×C43—21no—
703D4×C43—21no—
704D4×C43—21no—
705D4×C43—21no—
706D4×C43—21no—
707D4×C43—21no—
708D4×C43—42no—
709D4×C43—81no—
710C2×C4×C43—21no—
711C2×C4×C43—21no—
712C2×C4×C43—21no—
713C2×C4×C43—21no—
714C2×C4×C43—21no—
715C2×C4×C43—21no—
716C2×C4×C43—21no—
717C2×C4×C43—81no—
718C2×C4×C43—81no—
719C2×C4×C43—81no—
720C2×C4×C43—81no—
721C2×C4×C43—81no—
722C2×C4×C43C22×D411yescharacteristic
723C2×C4×C43C22×D411yescharacteristic
724C2×C4×C43C22×D411yescharacteristic
725C2×C4×C43C22×D411yescharacteristic
726C2×C4×C43C22×D411yescharacteristic
727C2×C4×C43C2511yescharacteristic
728C22⋊D43—42no—
729C22⋊D43—42no—
730C22⋊D43—42no—
731C22⋊D43—42no—
732C22⋊D43—42no—
733C22⋊D43—81no—
734C22⋊D43—81no—
735C22⋊D43—81no—
736C22⋊D43—81no—
737C22⋊D43—81no—
738C22⋊D43—81no—
739C22⋊D43—81no—
740C22⋊D43—81no—
741C22⋊D43—81no—
742C22⋊D43—81no—
743C22⋊D43—81no—
744C2×Dic43—21no—
745C2×Dic43—21no—
746C2×Dic43—21no—
747C2×Dic43—21no—
748C2×Dic43—41no—
749C2×Dic43—41no—
750C2×Dic43—81no—
751C2×Dic43—81no—
752C2×Dic43C22×D411yescharacteristic
753C2×Dic43C22×D411yescharacteristic
754C2×Dic43C22×D411yescharacteristic
755C2×Dic43C22×D411yescharacteristic
756C2×Dic43C22×D411yescharacteristic
757C2×Dic43C22×D411yescharacteristic
758C2×Dic43C22×D411yescharacteristic
759C2×Dic43C22×D411yescharacteristic
760D172—21no—
761D172—21no—
762D172—21no—
763D172—21no—
764D172—21no—
765D172—21no—
766D172—21no—
767D172—21no—
768D172—42no—
769D172—81no—
770D172—81no—
771D172—81no—
772D172—81no—
773C4×D43—42no—
774C4×D43—42no—
775C4×D43—42no—
776C4×D43—81no—
777C4×D43—81no—
778C4×D43—81no—
779C4×D43—81no—
780C4×D43—81no—
781C4×D43—81no—
782C4×D43—81no—
783Dic86—21no—
784Dic86—21no—
785Dic86—21no—
786Dic86—21no—
787Dic86—41no—
788Dic86—41no—
789Dic86—41no—
790Dic86—41no—
791Dic86—81no—
792C8×C43—21no—
793C8×C43—21no—
794C8×C43—21no—
795C8×C43—21no—
796C43⋊C8—21no—
797C43⋊C8—21no—
798C43⋊C8—21no—
799C43⋊C8—21no—
800#61945—431nomaximal, Sylow
801C22×C43—21no—
802C22×C43—21no—
803C22×C43—21no—
804C22×C43—41no—
805C22×C43—41no—
806C22×C43—41no—
807C22×C43—41no—
808C22×C43—41no—
809C22×C43—41no—
810C22×C43—41no—
811C22×C43—41no—
812C22×C43—41no—
813C22×C43—162no—
814C22×C43C23×D411yescharacteristic
815C2×D43—41no—
816C2×D43—41no—
817C2×D43—41no—
818C2×D43—41no—
819C2×D43—41no—
820C2×D43—41no—
821C2×D43—41no—
822C2×D43—41no—
823C2×D43—41no—
824C2×D43—41no—
825C2×D43—41no—
826C2×D43—41no—
827C2×D43—162no—
828C4×C43—21no—
829C4×C43—21no—
830C4×C43—21no—
831C4×C43—21no—
832C4×C43—21no—
833C4×C43—41no—
834C4×C43—41no—
835C4×C43—41no—
836C4×C43—41no—
837C4×C43—41no—
838C4×C43#58511yescharacteristic
839C4×C43#58511yescharacteristic
840Dic43—21no—
841Dic43—21no—
842Dic43—21no—
843Dic43—21no—
844Dic43—21no—
845Dic43—21no—
846Dic43—21no—
847Dic43—21no—
848Dic43—41no—
849Dic43—41no—
850Dic43—41no—
851Dic43—41no—
852#3557—431no—
853#3508—431no—
854#3403—431no—
855#3403—431no—
856#3401—431no—
857#3401—431no—
858#3399—431no—
859#3399—431no—
860#3397—431no—
861#3397—431no—
862#3371—431no—
863#3371—431no—
864#3370—431no—
865#3370—431no—
866#3368—431no—
867#3368—431no—
868#3366—431no—
869#3366—431no—
870#3224—431no—
871#3224—431no—
872#3222—431no—
873#3220—431no—
874#3217—431no—
875#3217—431no—
876#3123—431no—
877#3122—431no—
878#3118—431no—
879#3118D4311yescharacteristic, complemented
880#3111—431no—
881#3111—431no—
882#2987—431no—
883C2×C43—41no—
884C2×C43—81no—
885C2×C43—81no—
886C2×C43—81no—
887C2×C43#348711yescharacteristic
888C2×C43#358511yescharacteristic
889C2×C43#358511yescharacteristic
890D43—81no—
891D43—81no—
892D43—81no—
893D43—81no—
894#563—861no—
895#563—861no—
896#559—431no—
897#559—431no—
898#559—431no—
899#559—431no—
900#559—431no—
901#559—431no—
902#557—431no—
903#557—431no—
904#556—431no—
905#556—431no—
906#554—431no—
907#554—431no—
908#552—861no—
909#552—861no—
910#550—431no—
911#550—431no—
912#550—431no—
913#550—431no—
914#546—861no—
915#546—861no—
916#546—861no—
917#546—861no—
918#542—431no—
919#542—861no—
920#542—861no—
921#542C2×D4311yescharacteristic
922#541—431no—
923#540—431no—
924#540—861no—
925#540—861no—
926#539—861no—
927#539—861no—
928#535—431no—
929#535—431no—
930#533—431no—
931#532—861no—
932#532—861no—
933C2×#127—431no—
934#529—431no—
935#529—431no—
936#518—431no—
937#518C2×D4311yescharacteristic
938C4×#41—431no—
939#497—431no—
940#496—431no—
941#496—431no—
942#496—431no—
943#496—431no—
944#496—431no—
945#496—431no—
946#496—431no—
947#495—431no—
948#495—431no—
949#493—431no—
950#492—431no—
951#490—431no—
952#490—431no—
953#490—431no—
954#490—431no—
955#490—431no—
956#490—431no—
957#489—431no—
958#489—431no—
959#488—431no—
960#488—431no—
961#486—431no—
962#486—431no—
963#485—431no—
964#485C2×D4311yescharacteristic
965#482—431no—
966#482C2×D4311yescharacteristic
967#479—431no—
968#479—431no—
969#478—431no—
970#478—431no—
971#478—431no—
972#478—431no—
973#478—431no—
974#478—431no—
975#476—431no—
976#476C2×D4311yescharacteristic, complemented
977#474—431no—
978#474C2×D4311yescharacteristic, complemented
979#464—431no—
980#464—431no—
981#464—431no—
982#464—431no—
983#464—431no—
984#464—431no—
985#463—431no—
986#463—431no—
987#463—431no—
988#463—431no—
989#463—431no—
990#463—431no—
991#463—431no—
992#463—431no—
993#463C2×D4311yescharacteristic, complemented
994#463C2×D4311yescharacteristic, complemented
995#461—431no—
996#461—431no—
997#460—431no—
998#460—431no—
999#460—431no—
1000#460—431no—
1001#460—431no—
1002#460—431no—
1003#460—431no—
1004#460—431no—
1005#459—431no—
1006#459—431no—
1007#459—431no—
1008#459—431no—
1009#459—431no—
1010#459—431no—
1011#459—431no—
1012#459—431no—
1013#459—431no—
1014#459—431no—
1015#452—431no—
1016#452—431no—
1017#450—431no—
1018#450—431no—
1019#450—431no—
1020#450C2×D4311yescharacteristic
1021#449—431no—
1022#449—431no—
1023#447—431no—
1024#447—431no—
1025#447—431no—
1026#447C2×D4311yescharacteristic
1027#446—431no—
1028#446—431no—
1029#446—431no—
1030#446—431no—
1031#446—431no—
1032#446—431no—
1033#446—431no—
1034#446—431no—
1035#442—431no—
1036#442—431no—
1037#442—431no—
1038#442—431no—
1039#442—431no—
1040#442C2×D4311yescharacteristic, complemented
1041#441—431no—
1042#441—431no—
1043#440—431no—
1044#440—431no—
1045#440—431no—
1046#440—431no—
1047#440—431no—
1048#440—431no—
1049#440—431no—
1050#440C2×D4311yescharacteristic, complemented
1051C4×SD16—431no—
1052C4×SD16—431no—
1053C4×SD16—431no—
1054C4×SD16C2×D4311yescharacteristic, complemented
1055C4×D8—431no—
1056C4×D8—431no—
1057C4×D8—431no—
1058C4×D8C2×D4311yescharacteristic, complemented
1059#433—431no—
1060#433—431no—
1061#433—431no—
1062#433C2×D4311yescharacteristic
1063#432—431no—
1064#432—431no—
1065C43#6194511yescharacteristic, complemented, Sylow
1066C2×#41—431no—
1067C2×#41—861no—
1068C2×#41—861no—
1069C2×#41—861no—
1070C2×#41—861no—
1071C22×D4—431no—
1072C22×D4—861no—
1073C22×D4—861no—
1074C22×D4C22×D4311yescharacteristic
1075C2×Q16—431no—
1076C2×Q16—431no—
1077C2×SD16—431no—
1078C2×SD16—431no—
1079C2×SD16—431no—
1080C2×SD16—431no—
1081C2×SD16—431no—
1082C2×SD16—431no—
1083C2×SD16—431no—
1084C2×SD16—431no—
1085C2×SD16—431no—
1086C2×SD16—431no—
1087C2×SD16C22×D4311yescharacteristic
1088C2×SD16C22×D4311yescharacteristic
1089C2×D8—431no—
1090C2×D8—431no—
1091C2×D8—431no—
1092C2×D8—431no—
1093C2×D8—431no—
1094C2×D8—431no—
1095C2×D8—431no—
1096C2×D8—431no—
1097C2×D8C22×D4311yescharacteristic
1098C2×D8C22×D4311yescharacteristic
1099C4⋊Q8—431no—
1100C4⋊Q8—431no—
1101C4⋊Q8—431no—
1102C4⋊Q8—431no—
1103C4⋊Q8—861no—
1104C4⋊Q8—861no—
1105C4⋊Q8C22×D4311yescharacteristic
1106#127—431no—
1107#127—431no—
1108#127—431no—
1109#127—431no—
1110#127—431no—
1111#127—431no—
1112#127—431no—
1113#127—431no—
1114#127—431no—
1115#127—861no—
1116#127—861no—
1117#126—21no—
1118#126—861no—
1119#126—861no—
1120#126—861no—
1121#126—861no—
1122#126—861no—
1123#126—861no—
1124#126—861no—
1125#126—861no—
1126#126—861no—
1127#125—431no—
1128#125—431no—
1129#125—431no—
1130#125—431no—
1131#125—431no—
1132#125—431no—
1133#125—861no—
1134#125—861no—
1135#125—861no—
1136#125—861no—
1137#125—861no—
1138#125—861no—
1139#124—21no—
1140#124—431no—
1141#124—431no—
1142#124—431no—
1143#124—431no—
1144#124—431no—
1145#124—431no—
1146#124—431no—
1147#124—861no—
1148#124—861no—
1149#124—861no—
1150#124—861no—
1151#124—861no—
1152#124—861no—
1153#124—861no—
1154#124C22×D4311yescharacteristic
1155#123—21no—
1156#123—861no—
1157#123—861no—
1158#123—861no—
1159#123—861no—
1160#123—861no—
1161#123—861no—
1162#123—861no—
1163#123—861no—
1164#123—861no—
1165#123—861no—
1166#123—861no—
1167#123—861no—
1168#123—861no—
1169#123—861no—
1170#123—861no—
1171#123—861no—
1172#123—861no—
1173C22⋊Q8—21no—
1174C22⋊Q8—431no—
1175C22⋊Q8—431no—
1176C22⋊Q8—431no—
1177C22⋊Q8—431no—
1178C22⋊Q8—431no—
1179C22⋊Q8—861no—
1180C22⋊Q8—861no—
1181C22⋊Q8—861no—
1182C22⋊Q8—861no—
1183C22⋊Q8—861no—
1184C22⋊Q8—861no—
1185C22⋊Q8—861no—
1186C22⋊Q8—861no—
1187C22⋊Q8—861no—
1188C22⋊Q8C22×D4311yescharacteristic
1189#121—431no—
1190#121—861no—
1191#121—861no—
1192#121—861no—
1193#121—861no—
1194#121—861no—
1195#121—861no—
1196#121—861no—
1197#121—861no—
1198#121—861no—
1199#121—861no—
1200#121—861no—
1201#121—861no—
1202#121—861no—
1203#121—861no—
1204#121—861no—
1205#121—861no—
1206#121—861no—
1207#121—861no—
1208#121C22×D4311yescharacteristic
1209#120—861no—
1210#120—861no—
1211#120—861no—
1212#120—861no—
1213C4×Q8—431no—
1214C4×Q8—431no—
1215C4×Q8—431no—
1216C4×Q8—431no—
1217C4×Q8—431no—
1218C4×Q8—431no—
1219C4×Q8—431no—
1220C4×Q8—431no—
1221C4×Q8—431no—
1222C4×Q8—431no—
1223C4×Q8—431no—
1224C4×Q8—861no—
1225C4×Q8—861no—
1226C4×Q8C22×D4311yescharacteristic
1227C4×D4—21no—
1228C4×D4—21no—
1229C4×D4—431no—
1230C4×D4—431no—
1231C4×D4—431no—
1232C4×D4—431no—
1233C4×D4—431no—
1234C4×D4—431no—
1235C4×D4—431no—
1236C4×D4—431no—
1237C4×D4—431no—
1238C4×D4—431no—
1239C4×D4—431no—
1240C4×D4—861no—
1241C4×D4—861no—
1242C4×D4—861no—
1243C4×D4—861no—
1244C4×D4—861no—
1245C4×D4—861no—
1246C4×D4—861no—
1247C4×D4—861no—
1248C4×D4—861no—
1249C4×D4—861no—
1250C4×D4—861no—
1251C4×D4—861no—
1252C4×D4C22×D4311yescharacteristic
1253C4×D4C22×D4311yescharacteristic
1254C4×D4C22×D4311yescharacteristic
1255C4×D4C22×D4311yescharacteristic
1256C4×D4C22×D4311yescharacteristic
1257#117—431no—
1258#117—861no—
1259#117—861no—
1260#117—861no—
1261#117—861no—
1262#117—861no—
1263#117C22×D4311yescharacteristic
1264#117C22×D4311yescharacteristic
1265C2×C4⋊C4—861no—
1266C2×C4⋊C4—861no—
1267C2×C22⋊C4—21no—
1268C2×C22⋊C4—21no—
1269C2×C22⋊C4—861no—
1270C2×C22⋊C4—861no—
1271C2×C42—431no—
1272C2×C42—861no—
1273#107—431no—
1274#107—431no—
1275#107C22×D4311yescharacteristic
1276#107C22×D4311yescharacteristic
1277#106—431no—
1278#106—431no—
1279#106C22×D4311yescharacteristic
1280#106C22×D4311yescharacteristic
1281C4⋊C8—431no—
1282C4⋊C8—431no—
1283C4⋊C8—431no—
1284C4⋊C8—431no—
1285C4⋊C8—431no—
1286C4⋊C8—431no—
1287C4⋊C8—431no—
1288C4⋊C8—431no—
1289C4⋊C8—431no—
1290C4⋊C8—431no—
1291C4⋊C8C22×D4311yescharacteristic
1292C4⋊C8C22×D4311yescharacteristic
1293#103—431no—
1294#103—431no—
1295#103—431no—
1296#103—431no—
1297#103—431no—
1298#103—431no—
1299#103C22×D4311yescharacteristic
1300#103C22×D4311yescharacteristic
1301#102—431no—
1302#102—431no—
1303#102—431no—
1304#102—431no—
1305#102—431no—
1306#102—431no—
1307#102—431no—
1308#102—431no—
1309#102—431no—
1310#102—431no—
1311#102—431no—
1312#102—431no—
1313#102—431no—
1314#102—431no—
1315#102—431no—
1316#102—431no—
1317#102—431no—
1318#102—431no—
1319#102C22×D4311yescharacteristic
1320#102C22×D4311yescharacteristic
1321#102C22×D4311yescharacteristic
1322#102C22×D4311yescharacteristic
1323#102C22×D4311yescharacteristic
1324#102C22×D4311yescharacteristic
1325C22⋊C8—431no—
1326C22⋊C8—431no—
1327C22⋊C8C22×D4311yescharacteristic
1328C22⋊C8C22×D4311yescharacteristic
1329#97—431no—
1330#97—431no—
1331#97—431no—
1332#97—431no—
1333#97—431no—
1334#97—431no—
1335#97—431no—
1336#97C22×D4311yescharacteristic
1337C4×C8—431no—
1338C4×C8—431no—
1339C4×C8—431no—
1340C4×C8C22×D4311yescharacteristic
1341C24—21no—
1342C24—861no—
1343#41—3442no—
1344#41—3442no—
1345#41—3442no—
1346#41—3442no—
1347#41—1721no—
1348#41—1721no—
1349C2×Q8—21no—
1350C2×Q8—431no—
1351C2×Q8—431no—
1352C2×Q8—431no—
1353C2×Q8—431no—
1354C2×Q8—431no—
1355C2×Q8—431no—
1356C2×Q8—861no—
1357C2×Q8C23×D4311yescharacteristic
1358C2×D4—21no—
1359C2×D4—21no—
1360C2×D4—41no—
1361C2×D4—41no—
1362C2×D4—431no—
1363C2×D4—431no—
1364C2×D4—431no—
1365C2×D4—431no—
1366C2×D4—861no—
1367C2×D4—861no—
1368C2×D4—861no—
1369C2×D4—861no—
1370C2×D4—861no—
1371C2×D4—861no—
1372C2×D4—861no—
1373C2×D4—861no—
1374C2×D4—861no—
1375C2×D4—861no—
1376C2×D4—861no—
1377C2×D4—861no—
1378C2×D4—861no—
1379C2×D4—861no—
1380C2×D4—861no—
1381C2×D4—861no—
1382C2×D4—861no—
1383C2×D4—861no—
1384C2×D4—861no—
1385C2×D4—861no—
1386C2×D4—861no—
1387C2×D4—3442no—
1388C2×D4—3442no—
1389C2×D4—1721no—
1390C2×D4—1721no—
1391C2×D4C23×D4311yescharacteristic
1392C2×D4C23×D4311yescharacteristic
1393C2×D4C23×D4311yescharacteristic
1394C22×C4—21no—
1395C22×C4—21no—
1396C22×C4—21no—
1397C22×C4—21no—
1398C22×C4—21no—
1399C22×C4—431no—
1400C22×C4—431no—
1401C22×C4—861no—
1402C22×C4—861no—
1403C22×C4—861no—
1404C22×C4—861no—
1405C22×C4—861no—
1406C22×C4—861no—
1407C22×C4—861no—
1408C22×C4—861no—
1409C22×C4—861no—
1410C22×C4—861no—
1411C22×C4—861no—
1412C22×C4—861no—
1413C22×C4C23×D4311yescharacteristic
1414Q16—1721no—
1415Q16—1721no—
1416SD16—41no—
1417SD16—41no—
1418SD16—1721no—
1419SD16—1721no—
1420SD16—1721no—
1421SD16—1721no—
1422SD16—1721no—
1423SD16—1721no—
1424SD16—1721no—
1425SD16—1721no—
1426SD16—1721no—
1427SD16—1721no—
1428D8—41no—
1429D8—41no—
1430D8—1721no—
1431D8—1721no—
1432D8—1721no—
1433D8—1721no—
1434D8—1721no—
1435D8—1721no—
1436D8—1721no—
1437D8—1721no—
1438C2×C8—431no—
1439C2×C8—431no—
1440C2×C8—431no—
1441C2×C8—431no—
1442C2×C8C23×D4311yescharacteristic
1443C2×C8C23×D4311yescharacteristic
1444C2×C8C23×D4311yescharacteristic
1445C2×C8C23×D4311yescharacteristic
1446C4⋊C4—21no—
1447C4⋊C4—21no—
1448C4⋊C4—21no—
1449C4⋊C4—431no—
1450C4⋊C4—431no—
1451C4⋊C4—431no—
1452C4⋊C4—431no—
1453C4⋊C4—431no—
1454C4⋊C4—431no—
1455C4⋊C4—431no—
1456C4⋊C4—431no—
1457C4⋊C4—431no—
1458C4⋊C4—431no—
1459C4⋊C4—431no—
1460C4⋊C4—431no—
1461C4⋊C4—431no—
1462C4⋊C4—431no—
1463C4⋊C4—431no—
1464C4⋊C4—431no—
1465C4⋊C4—861no—
1466C4⋊C4—861no—
1467C4⋊C4—861no—
1468C4⋊C4—861no—
1469C4⋊C4—861no—
1470C4⋊C4—861no—
1471C4⋊C4—861no—
1472C4⋊C4—861no—
1473C4⋊C4—861no—
1474C4⋊C4—861no—
1475C4⋊C4—861no—
1476C4⋊C4—861no—
1477C4⋊C4—861no—
1478C4⋊C4—861no—
1479C4⋊C4—861no—
1480C4⋊C4—861no—
1481C4⋊C4—861no—
1482C4⋊C4—861no—
1483C4⋊C4—861no—
1484C4⋊C4D4×D4311yescharacteristic
1485C4⋊C4D4×D4311yescharacteristic
1486C4⋊C4C23×D4311yescharacteristic
1487C4⋊C4C23×D4311yescharacteristic
1488C4⋊C4C23×D4311yescharacteristic
1489C4⋊C4C23×D4311yescharacteristic
1490C22⋊C4—21no—
1491C22⋊C4—21no—
1492C22⋊C4—21no—
1493C22⋊C4—21no—
1494C22⋊C4—21no—
1495C22⋊C4—21no—
1496C22⋊C4—21no—
1497C22⋊C4—21no—
1498C22⋊C4—21no—
1499C22⋊C4—21no—
1500C22⋊C4—431no—
1501C22⋊C4—431no—
1502C22⋊C4—861no—
1503C22⋊C4—861no—
1504C22⋊C4—861no—
1505C22⋊C4—861no—
1506C22⋊C4—861no—
1507C22⋊C4—861no—
1508C22⋊C4—861no—
1509C22⋊C4—861no—
1510C22⋊C4—861no—
1511C22⋊C4—861no—
1512C22⋊C4—861no—
1513C22⋊C4—861no—
1514C22⋊C4—861no—
1515C22⋊C4—861no—
1516C22⋊C4—861no—
1517C22⋊C4—861no—
1518C22⋊C4—861no—
1519C22⋊C4—861no—
1520C22⋊C4—861no—
1521C22⋊C4—861no—
1522C22⋊C4—861no—
1523C22⋊C4—861no—
1524C22⋊C4—861no—
1525C22⋊C4—861no—
1526C22⋊C4—861no—
1527C22⋊C4—861no—
1528C22⋊C4—861no—
1529C22⋊C4D4×D4311yescharacteristic
1530C22⋊C4D4×D4311yescharacteristic
1531C42—21no—
1532C42—21no—
1533C42—431no—
1534C42—431no—
1535C42—431no—
1536C42—431no—
1537C42—431no—
1538C42—431no—
1539C42—861no—
1540C42—861no—
1541C42—861no—
1542C42—861no—
1543C42—861no—
1544C42—861no—
1545C42—861no—
1546C42C23×D4311yescharacteristic
1547C42C23×D4311yescharacteristic
1548C23—21no—
1549C23—21no—
1550C23—21no—
1551C23—42no—
1552C23—81no—
1553C23—81no—
1554C23—861no—
1555C23—861no—
1556C23—861no—
1557C23—861no—
1558C23—3441no—
1559C23—3441no—
1560C23—1722no—
1561C23C2×D4×D4311yescharacteristic
1562Q8—21no—
1563Q8—21no—
1564Q8—81no—
1565Q8—861no—
1566Q8—861no—
1567Q8—861no—
1568Q8—861no—
1569Q8—3441no—
1570Q8—1721no—
1571Q8—1721no—
1572Q8—1721no—
1573Q8—1721no—
1574D4—21no—
1575D4—21no—
1576D4—21no—
1577D4—21no—
1578D4—21no—
1579D4—21no—
1580D4—42no—
1581D4—81no—
1582D4—861no—
1583D4—861no—
1584D4—861no—
1585D4—861no—
1586D4—861no—
1587D4—861no—
1588D4—861no—
1589D4—861no—
1590D4—3441no—
1591D4—3441no—
1592D4—3441no—
1593D4—3441no—
1594D4—3441no—
1595D4—3441no—
1596D4—3441no—
1597D4—3441no—
1598D4—3441no—
1599D4—3441no—
1600D4—3441no—
1601D4—3441no—
1602D4—3441no—
1603D4—3441no—
1604D4—3441no—
1605D4—1722no—
1606D4—1722no—
1607D4—1722no—
1608D4—1722no—
1609D4—1722no—
1610D4—1722no—
1611C2×C4—21no—
1612C2×C4—21no—
1613C2×C4—21no—
1614C2×C4—21no—
1615C2×C4—21no—
1616C2×C4—21no—
1617C2×C4—21no—
1618C2×C4—81no—
1619C2×C4—81no—
1620C2×C4—81no—
1621C2×C4—81no—
1622C2×C4—81no—
1623C2×C4—431no—
1624C2×C4—431no—
1625C2×C4—431no—
1626C2×C4—431no—
1627C2×C4—431no—
1628C2×C4—431no—
1629C2×C4—431no—
1630C2×C4—431no—
1631C2×C4—861no—
1632C2×C4—861no—
1633C2×C4—861no—
1634C2×C4—861no—
1635C2×C4—3441no—
1636C2×C4—3441no—
1637C2×C4—3441no—
1638C2×C4—3441no—
1639C2×C4—3441no—
1640C2×C4—3441no—
1641C2×C4—3441no—
1642C2×C4—3441no—
1643C2×C4—3441no—
1644C2×C4—1722no—
1645C2×C4—1722no—
1646C2×C4—1722no—
1647C2×C4—1721no—
1648C2×C4—1721no—
1649C2×C4C2×D4×D4311yescharacteristic
1650C2×C4C2×D4×D4311yescharacteristic
1651C2×C4C2×D4×D4311yescharacteristic
1652C2×C4C2×D4×D4311yescharacteristic
1653C2×C4C2×D4×D4311yescharacteristic
1654C2×C4C24×D4311yescharacteristic
1655C8—21no—
1656C8—21no—
1657C8—21no—
1658C8—21no—
1659C8—861no—
1660C8—861no—
1661C8—861no—
1662C8—861no—
1663C22—21no—
1664C22—21no—
1665C22—21no—
1666C22—41no—
1667C22—41no—
1668C22—41no—
1669C22—41no—
1670C22—41no—
1671C22—41no—
1672C22—41no—
1673C22—41no—
1674C22—41no—
1675C22—162no—
1676C22—1721no—
1677C22—1721no—
1678C22—1721no—
1679C22—1721no—
1680C22—1721no—
1681C22—1721no—
1682C22—1721no—
1683C22—1721no—
1684C22—1721no—
1685C22—1721no—
1686C22—1721no—
1687C22—1721no—
1688C22—6882no—
1689C22C22×D4×D4311yescharacteristic
1690C4—21no—
1691C4—21no—
1692C4—21no—
1693C4—21no—
1694C4—21no—
1695C4—41no—
1696C4—41no—
1697C4—41no—
1698C4—41no—
1699C4—41no—
1700C4—861no—
1701C4—861no—
1702C4—861no—
1703C4—861no—
1704C4—861no—
1705C4—861no—
1706C4—861no—
1707C4—861no—
1708C4—1721no—
1709C4—1721no—
1710C4—1721no—
1711C4—1721no—
1712C4#1458373511yescharacteristic
1713C4#1458373511yescharacteristic
1714C2—41no—
1715C2—81no—
1716C2—81no—
1717C2—81no—
1718C2—3441no—
1719C2—3441no—
1720C2—3441no—
1721C2—3441no—
1722C2#1914824911yescharacteristic
1723C2#1914937011yescharacteristic
1724C2#1914937311yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3118C2
socleC22×C43C23×D4
hypercenter#3118D43
hypocenterC43#61945
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ #117 ◁ #3118

Complements

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

NH ≅ G/Ntype
1. #19149094C2semidirect
2. #19148466C2semidirect
3. #19147683C2semidirect
4. #19147681C2semidirect
5. #19147659C2semidirect
6. #19147657C2semidirect
7. #19147638C2semidirect
8. #19147632C2semidirect
9. #19147618C2semidirect
10. #19147616C2semidirect
11. #19147370C2semidirect
12. #19147368C2semidirect
13. #19147355C2semidirect
14. #19147353C2semidirect
15. #19147323C2semidirect
16. #19147322C2semidirect
17. #19147301C2semidirect
18. #19147300C2semidirect
19. #19145691C2semidirect
20. #19145683C2semidirect
21. #19145663C2semidirect
22. #19145641C2semidirect
23. #19145616C2semidirect
24. #19145611C2semidirect
25. #19144843C2semidirect
26. #19144834C2semidirect
27. #19144779C2semidirect
28. #19144707C2semidirect
29. #19144699C2semidirect
30. #19143699C2semidirect
31. C43×#3118C2semidirect
38. #14583632C22semidirect
39. #14583631C22semidirect
40. #14583628C22semidirect
41. #14583624C22semidirect
42. #14583621C22semidirect
43. #14583618C22semidirect
44. #14583610C22semidirect
45. #14583606C22semidirect
75. #14583290C22semidirect
76. #14583289C22semidirect
77. #14583288C22semidirect
80. #14583287C22semidirect
83. #14583283C22semidirect
84. #14583281C22semidirect
85. #14583274C22semidirect
86. #14583270C22semidirect
91. #14583262C22semidirect
92. #14583262C22semidirect
93. #14583261C22semidirect
94. #14583259C22semidirect
95. #14583252C22semidirect
96. #14583252C22semidirect
97. #14583247C22semidirect
98. #14583246C22semidirect
101. #14583209C22semidirect
102. #14583205C22semidirect
103. #14583202C22semidirect
104. #14583202C22semidirect
105. #14583202C22semidirect
106. #14583198C22semidirect
107. #14583198C22semidirect
108. #14583198C22semidirect
109. #14583189C22semidirect
110. #14583179C22semidirect
111. #14583124C22semidirect
112. #14583122C22semidirect
113. #14583121C22semidirect
114. #14583120C22semidirect
115. #14583120C22semidirect
116. #14583119C22semidirect
117. #14583117C22semidirect
118. #14583115C22semidirect
119. #14583114C22semidirect
120. #14583114C22semidirect
121. #14583114C22semidirect
122. #14583113C22semidirect
123. #14583113C22semidirect
124. #14583112C22semidirect
125. #14583103C22semidirect
126. #14583103C22semidirect
127. #14583100C22semidirect
128. #14583099C22semidirect
131. #14583098C22semidirect
134. #14583097C22semidirect
135. #14583095C22semidirect
136. #14583094C22semidirect
139. #14583093C22semidirect
140. #14583093C22semidirect
141. #14583093C22semidirect
144. #14583092C22semidirect
155. #14583029C22semidirect
156. #14583029C22semidirect
157. #14583028C22semidirect
158. #14583028C22semidirect
159. #14583027C22semidirect
160. #14583027C22semidirect
161. #14583026C22semidirect
162. #14583026C22semidirect
163. #14583010C22semidirect
164. #14583010C22semidirect
165. #14583009C22semidirect
166. #14583008C22semidirect
167. #14583008C22semidirect
168. #14583005C22semidirect
169. #14583003C22semidirect
170. #14583002C22semidirect
171. #14583002C22semidirect
172. #14582999C22semidirect
173. #14582998C22semidirect
174. #14582998C22semidirect
175. #14582998C22semidirect
176. #14582996C22semidirect
177. #14582986C22semidirect
178. C4×#10621883C22semidirect
179. #14582984C22semidirect
180. #14582981C22semidirect
181. C4×#10621882C22semidirect
182. #14582979C22semidirect
192. C43×#476C22semidirect
193. C43×#474C22semidirect
194. C43×#463C22semidirect
195. C43×#463C22semidirect
198. C43×#442C22semidirect
199. C43×#440C22semidirect
200. C4×SD16×C43C22semidirect
201. C4×D8×C43C22semidirect
879. #3118D43semidirect
976. #476C2×D43semidirect
978. #474C2×D43semidirect
993. #463C2×D43semidirect
994. #463C2×D43semidirect
1040. #442C2×D43semidirect
1050. #440C2×D43semidirect
1054. C4×SD16C2×D43semidirect
1058. C4×D8C2×D43semidirect
1065. C43#61945semidirect

Maximal subgroups

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

subgroupindex
#191490942
#191484662
#191476832
#191476812
#191476592
#191476572
#191476382
#191476322
#191476182
#191476162
#191473702
#191473682
#191473552
#191473532
#191473232
#191473222
#191473012
#191473002
#191456912
#191456832
#191456632
#191456412
#191456162
#191456112
#191448432
#191448342
#191447792
#191447072
#191446992
#191436992
C43×#31182
#6194543