Finite Group Databasebeta

← #25993798

Subgroups — #25993798

Order 11008.

1716 conjugacy classes of subgroups.

The subgroup lattice has 1668 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19149242C211yesmaximal, characteristic, complemented
2#19148523C211yesmaximal, characteristic, complemented
3#19147554C211yesmaximal, characteristic, complemented
4#19147468C211yesmaximal, characteristic, complemented
5#19147368C211yesmaximal, characteristic, complemented
6#19147256C211yesmaximal, characteristic, complemented
7#19147192C211yesmaximal, characteristic, complemented
8#19147153C211yesmaximal, characteristic, complemented
9#19147148C211yesmaximal, characteristic, complemented
10#19147129C211yesmaximal, characteristic, complemented
11#19147040C211yesmaximal, characteristic, complemented
12#19146990C211yesmaximal, characteristic, complemented
13#19146819C211yesmaximal, characteristic, complemented
14#19146816C211yesmaximal, characteristic, complemented
15#19146800C211yesmaximal, characteristic, complemented
16#19146756C211yesmaximal, characteristic, complemented
17#19146740C211yesmaximal, characteristic, complemented
18#19146434C211yesmaximal, characteristic, complemented
19#19146051C211yesmaximal, characteristic, complemented
20#19146011C211yesmaximal, characteristic, complemented
21#19145993C211yesmaximal, characteristic, complemented
22#19145895C211yesmaximal, characteristic, complemented
23#19145847C211yesmaximal, characteristic, complemented
24#19145773C211yesmaximal, characteristic, complemented
25#19144869C211yesmaximal, characteristic, complemented
26#19144641C211yesmaximal, characteristic, complemented
27#19144441C211yesmaximal, characteristic, complemented
28#19144426C211yesmaximal, characteristic, complemented
29#19144387C211yesmaximal, characteristic, complemented
30#19143738C211yesmaximal, characteristic, complemented
31C43×#3118C211yesmaximal, characteristic, complemented
32#14583651—21no—
33#14583646—21no—
34#14583632C2211yescharacteristic
35#14583628C2211yescharacteristic, complemented
36#14583620C2211yescharacteristic
37#14583616—21no—
38#14583614C2211yescharacteristic, complemented
39#14583608C2211yescharacteristic, complemented
40#14583606C2211yescharacteristic
41#14583601C2211yescharacteristic
42#14583596C2211yescharacteristic, complemented
43#14583595—21no—
44#14583593C2211yescharacteristic
45#14583591C2211yescharacteristic, complemented
46#14583590C2211yescharacteristic, complemented
47#14583588C2211yescharacteristic
48#14583586—21no—
49#14583578—21no—
50#14583575—21no—
51#14583554C2211yescharacteristic
52#14583544C2211yescharacteristic
53#14583543C2211yescharacteristic
54#14583539—21no—
55D4×C22⋊D43C2211yescharacteristic
56#14583527C2211yescharacteristic, complemented
57#14583526C2211yescharacteristic, complemented
58#14583520C2211yescharacteristic
59#14583518—21no—
60#14583518C2211yescharacteristic, complemented
61#14583513—21no—
62#14583509—21no—
63#14583500C2211yescharacteristic
64#14583498—21no—
65#14583491—21no—
66#14583487—21no—
67#14583454C2211yescharacteristic, complemented
68#14583431C2211yescharacteristic
69#14583428C2211yescharacteristic, complemented
70#14583427C2211yescharacteristic
71#14583408—21no—
72C2×#13063307—21no—
73#14583378C2211yescharacteristic
74C4×D4×D43C2211yescharacteristic
75#14583308C2211yescharacteristic, complemented
76#14583306C2211yescharacteristic, complemented
77#14583299C2211yescharacteristic, complemented
78#14583299C2211yescharacteristic, complemented
79#14583299C2211yescharacteristic, complemented
80#14583297C2211yescharacteristic, complemented
81#14583262C2211yescharacteristic
82#14583259C2211yescharacteristic, complemented
83#14583254C2211yescharacteristic, complemented
84#14583252C2211yescharacteristic, complemented
85#14583252C2211yescharacteristic, complemented
86#14583244C2211yescharacteristic
87#14583243C2211yescharacteristic, complemented
88#14583243C2211yescharacteristic, complemented
89#14583241C2211yescharacteristic, complemented
90#14583233C2211yescharacteristic, complemented
91#14583230C2211yescharacteristic, complemented
92#14583228C2211yescharacteristic, complemented
93#14583225C2211yescharacteristic, complemented
94#14583224C2211yescharacteristic
95#14583222C2211yescharacteristic
96#14583222C2211yescharacteristic
97#14583222C2211yescharacteristic, complemented
98#14583219C2211yescharacteristic, complemented
99#14583218C2211yescharacteristic
100#14583216C2211yescharacteristic, complemented
101#14583216C2211yescharacteristic, complemented
102#14583211C2211yescharacteristic, complemented
103#14583207C2211yescharacteristic, complemented
104#14583205C2211yescharacteristic, complemented
105#14583204C2211yescharacteristic, complemented
106#14583204C2211yescharacteristic, complemented
107#14583202C2211yescharacteristic, complemented
108#14583202C2211yescharacteristic, complemented
109#14583201C2211yescharacteristic
110#14583201C2211yescharacteristic
111#14583201C2211yescharacteristic
112#14583201C2211yescharacteristic, complemented
113#14583200C2211yescharacteristic, complemented
114#14583199C2211yescharacteristic
115#14583199C2211yescharacteristic
116#14583199C2211yescharacteristic, complemented
117#14583199C2211yescharacteristic, complemented
118#14583197C2211yescharacteristic, complemented
119#14583194C2211yescharacteristic, complemented
120#14583193C2211yescharacteristic, complemented
121#14583191C2211yescharacteristic, complemented
122#14583190C2211yescharacteristic, complemented
123#14583189C2211yescharacteristic
124#14583189C2211yescharacteristic, complemented
125#14583185C2211yescharacteristic, complemented
126#14583179C2211yescharacteristic
127#14583179C2211yescharacteristic, complemented
128#14583179C2211yescharacteristic, complemented
129#14583177C2211yescharacteristic
130#14583176C2211yescharacteristic, complemented
131#14583156C2211yescharacteristic, complemented
132#14583149C2211yescharacteristic
133#14583149C2211yescharacteristic, complemented
134#14583148C2211yescharacteristic, complemented
135#14583147C2211yescharacteristic
136#14583144C2211yescharacteristic, complemented
137#14583143C2211yescharacteristic, complemented
138#14583142C2211yescharacteristic
139#14583138C2211yescharacteristic, complemented
140#14583134C2211yescharacteristic, complemented
141#14583133C2211yescharacteristic
142#14583125C2211yescharacteristic, complemented
143#14583121C2211yescharacteristic, complemented
144#14583119C2211yescharacteristic, complemented
145#14583118C2211yescharacteristic, complemented
146#14583114C2211yescharacteristic, complemented
147#14583112C2211yescharacteristic, complemented
148#14583111C2211yescharacteristic, complemented
149#14583097C2211yescharacteristic
150#14583092C2211yescharacteristic
151#14583058C2211yescharacteristic
152#14583048C2211yescharacteristic
153#14583041C2211yescharacteristic
154#14583031C2211yescharacteristic
155#14583027C2211yescharacteristic, complemented
156C8×Dic86C2211yescharacteristic, complemented
157#14583011C2211yescharacteristic
158#14583003C2211yescharacteristic, complemented
159#14582990C2211yescharacteristic, complemented
160SD16×Dic43C2211yescharacteristic
161SD16×Dic43C2211yescharacteristic
162#14582984C2211yescharacteristic, complemented
163D8×Dic43C2211yescharacteristic
164#14582979C2211yescharacteristic, complemented
165#14582978C2211yescharacteristic, complemented
166#14582974C2211yescharacteristic
167#14582974C2211yescharacteristic, complemented
168#14582972C2211yescharacteristic, complemented
169#14582967C2211yescharacteristic
170(C22⋊D43)⋊C8C2211yescharacteristic, complemented
171#14582959C2211yescharacteristic, complemented
172#14582951C2211yescharacteristic, complemented
173#14582942C2211yescharacteristic, complemented
174#14582940C2211yescharacteristic, complemented
175#14582940C2211yescharacteristic, complemented
176#14582940C2211yescharacteristic, complemented
177#14582935C2211yescharacteristic, complemented
178#107×D43C2211yescharacteristic, complemented
179#14582926C2211yescharacteristic, complemented
180#14582924C2211yescharacteristic, complemented
181#14582921C2211yescharacteristic, complemented
182#14582904C2211yescharacteristic
183#14582902C2211yescharacteristic
184#14582902C2211yescharacteristic
185#14582897C2211yescharacteristic
186#14582892C2211yescharacteristic
187C2×#13063246C2211yescharacteristic
188C43×#542C2211yescharacteristic, complemented
189C43×#518C2211yescharacteristic
190C43×#485C2211yescharacteristic, complemented
191C43×#482C2211yescharacteristic, complemented
192C43×#476C2211yescharacteristic, complemented
193C43×#474C2211yescharacteristic
194C43×#463C2211yescharacteristic
195C43×#463C2211yescharacteristic, complemented
196C43×#450C2211yescharacteristic
197C43×#447C2211yescharacteristic
198C43×#442C2211yescharacteristic
199C43×#440C2211yescharacteristic, complemented
200C4×SD16×C43C2211yescharacteristic
201C4×D8×C43C2211yescharacteristic, complemented
202C43×#433C2211yescharacteristic, complemented
203C2×#10621898—21no—
204C2×#10621900C2311yescharacteristic
205C22×C22⋊D43—21no—
206C2×D4×D43C2311yescharacteristic
207C22×C4×D43—21no—
208C2×#10621885C2311yescharacteristic
209C2×#10621883C2311yescharacteristic
210C2×#10621884C2311yescharacteristic
211C2×#10621882C2311yescharacteristic
212C2×#10621877C2311yescharacteristic
213C2×#10621872C2311yescharacteristic
214C2×#10621872C2311yescharacteristic
215C2×#10621872C2311yescharacteristic
216C22×C43⋊C8C2311yescharacteristic
217C2×C8×D43C2311yescharacteristic
218#13063325—21no—
219#13063325C2311yescharacteristic
220#13063325C2311yescharacteristic
221#13063325C2311yescharacteristic
222#13063324—21no—
223#13063324C2311yescharacteristic
224#13063323—21no—
225#13063321C2311yescharacteristic
226#13063320—21no—
227#13063320—21no—
228#13063320—21no—
229#13063320D411yescharacteristic
230#13063319—21no—
231#13063319—21no—
232#13063318—21no—
233#13063318—21no—
234#13063318—21no—
235#13063318—21no—
236#13063318—21no—
237#13063318—21no—
238#13063318—21no—
239#13063318D411yescharacteristic
240#13063317—21no—
241#13063317C2311yescharacteristic
242#13063317C2311yescharacteristic
243#13063316—21no—
244#13063316—21no—
245#13063316—21no—
246#13063316—21no—
247#13063316C2311yescharacteristic
248#13063316C2311yescharacteristic
249#13063316C2311yescharacteristic
250#13063316C2311yescharacteristic
251#13063316C2311yescharacteristic
252#13063315—21no—
253#13063315—21no—
254#13063315D411yescharacteristic
255#13063313C2311yescharacteristic
256#13063312C2311yescharacteristic
257#13063311—21no—
258#13063311—21no—
259#13063311—21no—
260#13063311—21no—
261#13063311—21no—
262#13063311—21no—
263#13063311D411yescharacteristic
264#13063310—21no—
265#13063310D411yescharacteristic
266#13063309—21no—
267#13063309—21no—
268#13063309—21no—
269#13063309—21no—
270#13063308—21no—
271#13063308—21no—
272#13063307—21no—
273#13063307—21no—
274#13063307—21no—
275#13063307—21no—
276#13063307—21no—
277#13063307—21no—
278#13063307—21no—
279#13063307—21no—
280#13063307—21no—
281#13063307D411yescharacteristic
282#13063306—21no—
283#13063306—21no—
284#13063305—21no—
285#13063305C2311yescharacteristic
286#13063304—21no—
287#13063304—21no—
288#13063304—21no—
289#13063304C2311yescharacteristic
290#13063303—21no—
291#13063303—21no—
292#13063303D411yescharacteristic
293#13063302—21no—
294#13063302—21no—
295#13063302—21no—
296#13063302—21no—
297#13063302—21no—
298#13063302—21no—
299#13063302—21no—
300#13063301—21no—
301#13063301—21no—
302#13063301C2311yescharacteristic
303#13063301C2311yescharacteristic
304#13063300C2311yescharacteristic
305#13063299—21no—
306#13063299—21no—
307#13063299—21no—
308#13063299C2311yescharacteristic
309#13063298—21no—
310#13063298—21no—
311#13063298D411yescharacteristic
312#13063297—21no—
313#13063297—21no—
314#13063297—21no—
315#13063296—21no—
316#13063296C2311yescharacteristic
317#13063296C2311yescharacteristic
318#13063296C2311yescharacteristic
319#13063296C2311yescharacteristic
320#13063295—21no—
321#13063294—21no—
322#13063294—21no—
323#13063293—21no—
324Q8×Dic43—21no—
325Q8×Dic43C2311yescharacteristic
326Q8×Dic43C2311yescharacteristic
327C4×Dic86—21no—
328C4×Dic86C2311yescharacteristic
329C4×Dic86C2311yescharacteristic
330#13063290—21no—
331#13063290—21no—
332#13063290C2311yescharacteristic
333C4×D172—21no—
334C4×D172C2311yescharacteristic
335C4×D172C2311yescharacteristic
336D4×Dic43—21no—
337D4×Dic43C2311yescharacteristic
338D4×Dic43C2311yescharacteristic
339D4×Dic43C2311yescharacteristic
340D4×Dic43C2311yescharacteristic
341#13063287C2311yescharacteristic
342C4×C22⋊D43—21no—
343C4×C22⋊D43—21no—
344C4×C22⋊D43—21no—
345C4×C22⋊D43—21no—
346C4×C22⋊D43C2311yescharacteristic
347C4×C22⋊D43C2311yescharacteristic
348(C22⋊D43)⋊C4—21no—
349(C22⋊D43)⋊C4—21no—
350(C22⋊D43)⋊C4—21no—
351(C22⋊D43)⋊C4—21no—
352#13063284—21no—
353#13063284—21no—
354#13063284C2311yescharacteristic
355#13063283C2311yescharacteristic
356#13063283C2311yescharacteristic
357#13063283C2311yescharacteristic
358#13063282—21no—
359#13063282—21no—
360#13063282C2311yescharacteristic
361#13063281—21no—
362#13063281—21no—
363#13063281—21no—
364C2×C4⋊Dic43—21no—
365C2×C4⋊Dic43C2311yescharacteristic
366C2×Dic43⋊C4—21no—
367C2×Dic43⋊C4—21no—
368C4⋊C4×D43C2311yescharacteristic
369C4⋊C4×D43C2311yescharacteristic
370C4⋊C4×D43C2311yescharacteristic
371C2×C22⋊Dic43—21no—
372C2×(C2×D43)⋊C4—21no—
373C22⋊C4×D43—21no—
374C42×D43C2311yescharacteristic
375#13063259C2311yescharacteristic
376#13063259C2311yescharacteristic
377#13063258C2311yescharacteristic
378#13063258C2311yescharacteristic
379#13063258C2311yescharacteristic
380#13063258C2311yescharacteristic
381#13063258C2311yescharacteristic
382#13063258C2311yescharacteristic
383#13063258C2311yescharacteristic
384#13063258C2311yescharacteristic
385#13063257C2311yescharacteristic
386#13063257C2311yescharacteristic
387#13063257C2311yescharacteristic
388#13063257C2311yescharacteristic
389#13063257C2311yescharacteristic
390#13063257C2311yescharacteristic
391#13063256C2311yescharacteristic
392#13063256C2311yescharacteristic
393#13063256C2311yescharacteristic
394#13063256C2311yescharacteristic
395C4⋊(C43⋊C8)C2311yescharacteristic
396C4⋊(C43⋊C8)C2311yescharacteristic
397C4⋊(C43⋊C8)C2311yescharacteristic
398C4⋊(C43⋊C8)C2311yescharacteristic
399Dic43⋊C8C2311yescharacteristic
400Dic43⋊C8C2311yescharacteristic
401Dic43⋊C8C2311yescharacteristic
402Dic43⋊C8C2311yescharacteristic
403#13063250C2311yescharacteristic
404#13063250C2311yescharacteristic
405#13063250C2311yescharacteristic
406#13063250C2311yescharacteristic
407#13063249C2311yescharacteristic
408#13063249C2311yescharacteristic
409#13063248C2311yescharacteristic
410#13063248C2311yescharacteristic
411#13063247C2311yescharacteristic
412#13063247C2311yescharacteristic
413#13063247C2311yescharacteristic
414#13063247C2311yescharacteristic
415#13063246C2311yescharacteristic
416#13063246C2311yescharacteristic
417#13063246C2311yescharacteristic
418#13063246C2311yescharacteristic
419#13063246C2311yescharacteristic
420#13063246C2311yescharacteristic
421#13063246C2311yescharacteristic
422#13063246C2311yescharacteristic
423#13063246C2311yescharacteristic
424#13063246C2311yescharacteristic
425#13063245C2311yescharacteristic
426#13063245C2311yescharacteristic
427(C2×D43)⋊C8C2311yescharacteristic
428(C2×D43)⋊C8C2311yescharacteristic
429(C2×D43)⋊C8C2311yescharacteristic
430(C2×D43)⋊C8C2311yescharacteristic
431#13063235C2311yescharacteristic
432C8×Dic43C2311yescharacteristic
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—22no—
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—82no—
505C2×C22⋊D43C2×D411yescharacteristic
506C2×C22⋊D43C2×D411yescharacteristic
507C22×Dic43—21no—
508C22×Dic43—21no—
509C22×Dic43—21no—
510C22×Dic43—21no—
511C22×Dic43—21no—
512C22×Dic43—21no—
513#10621900—22no—
514#10621900—41no—
515D4×D43—22no—
516D4×D43—41no—
517#10621898—82no—
518C2×D172—21no—
519C2×D172C2×D411yescharacteristic
520C2×D172C2411yescharacteristic
521C2×C4×D43—21no—
522C2×C4×D43—21no—
523C2×C4×D43—21no—
524C2×C4×D43—21no—
525C2×C4×D43—21no—
526C2×C4×D43—82no—
527C2×C4×D43C2×D411yescharacteristic
528C2×C4×D43C2×D411yescharacteristic
529C2×C4×D43C2411yescharacteristic
530C2×C4×D43C2411yescharacteristic
531C2×Dic86—21no—
532C2×Dic86—21no—
533C2×Dic86—21no—
534C2×Dic86—21no—
535C2×Dic86C2×D411yescharacteristic
536C2×Dic86C2411yescharacteristic
537SD16×C43—22no—
538SD16×C43—41no—
539D8×C43—22no—
540D8×C43—41no—
541C2×C8×C43C2411yescharacteristic
542C2×C8×C43C2411yescharacteristic
543C2×C8×C43C2411yescharacteristic
544C2×C8×C43C2411yescharacteristic
545C4⋊C4×C43—21no—
546C4⋊C4×C43—21no—
547C4⋊C4×C43—21no—
548C4⋊C4×C43C2×D411yescharacteristic
549C4⋊C4×C43C2×D411yescharacteristic
550C4⋊C4×C43C2411yescharacteristic
551C4⋊C4×C43C2411yescharacteristic
552C4⋊C4×C43C2411yescharacteristic
553C4⋊C4×C43C2411yescharacteristic
554C22⋊C4×C43—21no—
555C22⋊C4×C43—21no—
556C22⋊C4×C43—21no—
557C22⋊C4×C43—21no—
558C22⋊C4×C43—21no—
559C22⋊C4×C43—21no—
560C22⋊C4×C43—21no—
561C22⋊C4×C43—21no—
562C22⋊C4×C43—21no—
563C22⋊C4×C43—21no—
564C22⋊C4×C43C2×D411yescharacteristic
565C22⋊C4×C43C2×D411yescharacteristic
566C42×C43—21no—
567C42×C43—21no—
568C42×C43C2411yescharacteristic
569C42×C43C2411yescharacteristic
570C22⋊Dic43—21no—
571C22⋊Dic43—21no—
572C22⋊Dic43—21no—
573C22⋊Dic43—21no—
574C22⋊Dic43—21no—
575C22⋊Dic43—21no—
576C22⋊Dic43—21no—
577C22⋊Dic43—21no—
578C22⋊Dic43—21no—
579C22⋊Dic43—21no—
580C22⋊Dic43—21no—
581C22⋊Dic43—21no—
582C22⋊Dic43C2×D411yescharacteristic
583C22⋊Dic43C2×D411yescharacteristic
584#10621885—41no—
585#10621884—41no—
586#10621883—41no—
587#10621882—41no—
588(C2×D43)⋊C4—21no—
589(C2×D43)⋊C4—21no—
590(C2×D43)⋊C4—21no—
591(C2×D43)⋊C4—21no—
592(C2×D43)⋊C4—21no—
593(C2×D43)⋊C4—21no—
594(C2×D43)⋊C4—21no—
595(C2×D43)⋊C4—21no—
596(C2×D43)⋊C4—21no—
597(C2×D43)⋊C4—21no—
598(C2×D43)⋊C4—21no—
599(C2×D43)⋊C4—21no—
600(C2×D43)⋊C4C2×D411yescharacteristic
601(C2×D43)⋊C4C2×D411yescharacteristic
602(C2×D43)⋊C4C2×D411yescharacteristic
603(C2×D43)⋊C4C2×D411yescharacteristic
604(C2×D43)⋊C4C2×D411yescharacteristic
605(C2×D43)⋊C4C2×D411yescharacteristic
606C4⋊Dic43—21no—
607C4⋊Dic43—21no—
608C4⋊Dic43—21no—
609C4⋊Dic43—21no—
610C4⋊Dic43—21no—
611C4⋊Dic43—21no—
612C4⋊Dic43—21no—
613C4⋊Dic43—21no—
614C4⋊Dic43—21no—
615C4⋊Dic43—21no—
616C4⋊Dic43—21no—
617C4⋊Dic43—21no—
618C4⋊Dic43C2×D411yescharacteristic
619C4⋊Dic43C2×D411yescharacteristic
620C4⋊Dic43C2411yescharacteristic
621C4⋊Dic43C2411yescharacteristic
622C4⋊Dic43C2411yescharacteristic
623C4⋊Dic43C2411yescharacteristic
624C4⋊Dic43C2411yescharacteristic
625C4⋊Dic43C2411yescharacteristic
626Dic43⋊C4—21no—
627Dic43⋊C4—21no—
628Dic43⋊C4—21no—
629Dic43⋊C4—21no—
630Dic43⋊C4—21no—
631Dic43⋊C4—21no—
632Dic43⋊C4—21no—
633Dic43⋊C4—21no—
634Dic43⋊C4—21no—
635Dic43⋊C4—21no—
636Dic43⋊C4—21no—
637Dic43⋊C4—21no—
638Dic43⋊C4—21no—
639Dic43⋊C4—21no—
640Dic43⋊C4—21no—
641Dic43⋊C4—21no—
642Dic43⋊C4—21no—
643Dic43⋊C4—21no—
644Dic43⋊C4C2×D411yescharacteristic
645Dic43⋊C4C2×D411yescharacteristic
646Dic43⋊C4C2×D411yescharacteristic
647Dic43⋊C4C2×D411yescharacteristic
648Dic43⋊C4C2×D411yescharacteristic
649Dic43⋊C4C2×D411yescharacteristic
650C4×Dic43—21no—
651C4×Dic43—21no—
652C4×Dic43—21no—
653C4×Dic43—21no—
654C4×Dic43—21no—
655C4×Dic43—21no—
656C4×Dic43—21no—
657C4×Dic43—21no—
658C4×Dic43C2×D411yescharacteristic
659C4×Dic43C2×D411yescharacteristic
660C4×Dic43C2411yescharacteristic
661C4×Dic43C2411yescharacteristic
662#10621877—41no—
663C2×C43⋊C8—41no—
664C2×C43⋊C8C2411yescharacteristic
665C2×C43⋊C8C2411yescharacteristic
666C2×C43⋊C8C2411yescharacteristic
667C2×C43⋊C8C2411yescharacteristic
668#10621872—41no—
669#10621872—41no—
670#10621872—41no—
671C8×D43—41no—
672C23×C43—21no—
673C23×C43—21no—
674C23×C43—21no—
675C23×C43—42no—
676C23×C43—81no—
677C23×C43—81no—
678C23×C43C22×D411yescharacteristic
679C22×D43—21no—
680C22×D43—42no—
681C22×D43—42no—
682C22×D43—81no—
683C22×D43C22×D411yescharacteristic
684C22×D43C22×D411yescharacteristic
685Q8×C43—21no—
686Q8×C43—21no—
687Q8×C43—81no—
688D4×C43—21no—
689D4×C43—21no—
690D4×C43—21no—
691D4×C43—21no—
692D4×C43—21no—
693D4×C43—42no—
694D4×C43—81no—
695D4×C432−1+412yes—
696C2×C4×C43—21no—
697C2×C4×C43—21no—
698C2×C4×C43—21no—
699C2×C4×C43—21no—
700C2×C4×C43—21no—
701C2×C4×C43—21no—
702C2×C4×C43—21no—
703C2×C4×C43—81no—
704C2×C4×C43—81no—
705C2×C4×C43—81no—
706C2×C4×C43—81no—
707C2×C4×C43—81no—
708C2×C4×C43C22×D411yescharacteristic
709C2×C4×C43C22×D411yescharacteristic
710C2×C4×C43C22×D411yescharacteristic
711C2×C4×C43C22×D411yescharacteristic
712C2×C4×C43C22×D411yescharacteristic
713C2×C4×C43C2511yescharacteristic
714C22⋊D43—41no—
715C22⋊D43—41no—
716C22⋊D43—42no—
717C22⋊D43—42no—
718C22⋊D43—42no—
719C22⋊D43—81no—
720C22⋊D43—81no—
721C22⋊D43—81no—
722C22⋊D43—81no—
723C22⋊D43—81no—
724C22⋊D43—81no—
725C2×Dic43—21no—
726C2×Dic43—21no—
727C2×Dic43—21no—
728C2×Dic43—21no—
729C2×Dic43—21no—
730C2×Dic43—21no—
731C2×Dic43—21no—
732C2×Dic43—42no—
733C2×Dic43—81no—
734C2×Dic43—81no—
735C2×Dic43—81no—
736C2×Dic43—81no—
737C2×Dic43—81no—
738C2×Dic43C22×D411yescharacteristic
739C2×Dic43C22×D411yescharacteristic
740C2×Dic43C22×D411yescharacteristic
741C2×Dic43C22×D411yescharacteristic
742C2×Dic43C22×D411yescharacteristic
743C2×Dic43C22×D411yescharacteristic
744D172—21no—
745D172—21no—
746D172—41no—
747D172—81no—
748C4×D43—21no—
749C4×D43—21no—
750C4×D43—21no—
751C4×D43—21no—
752C4×D43—41no—
753C4×D43—41no—
754C4×D43—42no—
755C4×D43—81no—
756C4×D43—81no—
757C4×D43—81no—
758C4×D43—81no—
759Dic86—21no—
760Dic86—21no—
761Dic86—41no—
762Dic86—81no—
763Dic86—81no—
764Dic86—81no—
765Dic86—81no—
766C8×C43—21no—
767C8×C43—21no—
768C8×C43—21no—
769C8×C43—21no—
770C43⋊C8—21no—
771C43⋊C8—21no—
772C43⋊C8—21no—
773C43⋊C8—21no—
774#62175—431nomaximal, Sylow
775C22×C43—21no—
776C22×C43—21no—
777C22×C43—22no—
778C22×C43—21no—
779C22×C43—41no—
780C22×C43—41no—
781C22×C43—41no—
782C22×C43—41no—
783C22×C43—41no—
784C22×C43—41no—
785C22×C43—41no—
786C22×C43—41no—
787C22×C43—162no—
788C22×C43C23×D411yescharacteristic
789C2×D43—21no—
790C2×D43—21no—
791C2×D43—21no—
792C2×D43—21no—
793C2×D43—21no—
794C2×D43—21no—
795C2×D43—41no—
796C2×D43—41no—
797C2×D43—41no—
798C2×D43—84no—
799C4×C43—21no—
800C4×C43—21no—
801C4×C43—21no—
802C4×C43—21no—
803C4×C43—21no—
804C4×C43—41no—
805C4×C43—41no—
806C4×C43—41no—
807C4×C43—41no—
808C4×C43—41no—
809C4×C43C2×2−1+411yescharacteristic
810C4×C43#58511yescharacteristic
811Dic43—21no—
812Dic43—21no—
813Dic43—21no—
814Dic43—21no—
815Dic43—21no—
816Dic43—21no—
817Dic43—41no—
818Dic43—41no—
819Dic43—41no—
820Dic43—41no—
821Dic43—41no—
822Dic43—41no—
823Dic43—41no—
824#3565—431no—
825#3513—431no—
826#3389—431no—
827#3381—431no—
828#3371—431no—
829#3361—431no—
830#3354—431no—
831#3351—431no—
832#3351—431no—
833#3349—431no—
834#3343—431no—
835#3339—431no—
836#3324—431no—
837#3323—431no—
838#3322—431no—
839#3319—431no—
840#3318—431no—
841#3296—431no—
842#3262—431no—
843#3257—431no—
844#3256—431no—
845#3244—431no—
846#3241—431no—
847#3233—431no—
848#3125—431no—
849#3118D4311yescharacteristic, complemented
850#3105—431no—
851#3083—431no—
852#3081—431no—
853#3077—431no—
854#2993—431no—
855C2×C43—42no—
856C2×C43—41no—
857C2×C43—81no—
858C2×C43—81no—
859C2×C43#348911yescharacteristic
860C2×C43#358411yescharacteristic
861C2×C43#358511yescharacteristic
862D43—41no—
863D43—41no—
864D43—81no—
865#563—861no—
866#562—861no—
867#559—431no—
868#557—431no—
869#556—431no—
870#556—861no—
871#555—431no—
872#554—431no—
873#554—431no—
874#553—431no—
875#553—431no—
876#553—431no—
877#553—861no—
878#552—431no—
879#552—431no—
880#552—431no—
881#552—861no—
882#551—861no—
883#551—861no—
884#547—431no—
885#546—431no—
886#546—431no—
887#546—861no—
888D42—431no—
889#544—431no—
890#544—431no—
891#542—431no—
892#542—431no—
893#542—861no—
894#542—861no—
895#542C2×D4311yescharacteristic, complemented
896#541—861no—
897#540—431no—
898#539—861no—
899#539—861no—
900#538—861no—
901#533—431no—
902#529—431no—
903#529—431no—
904#529—431no—
905#525—861no—
906C2×#123—861no—
907#520—431no—
908#518C2×D4311yescharacteristic
909C2×C4×D4—431no—
910#501—431no—
911#501—431no—
912#499—431no—
913#499—431no—
914#499—431no—
915#498—431no—
916#490—431no—
917#489—431no—
918#488—431no—
919#488—431no—
920#488—431no—
921#486—431no—
922#485—431no—
923#485—431no—
924#485—431no—
925#485C2×D4311yescharacteristic, complemented
926#484—431no—
927#483—431no—
928#483—431no—
929#482—431no—
930#482—431no—
931#482—431no—
932#482—431no—
933#482—431no—
934#482C2×D4311yescharacteristic, complemented
935#481—431no—
936#481—431no—
937#481—431no—
938#481—431no—
939#480—431no—
940#479—431no—
941#479—431no—
942#479—431no—
943#479—431no—
944#478—431no—
945#478—431no—
946#478—431no—
947#478—431no—
948#478—431no—
949#478—431no—
950#478—431no—
951#478—431no—
952#478—431no—
953#478—431no—
954#478—431no—
955#478—431no—
956#477—431no—
957#477—431no—
958#477—431no—
959#476—431no—
960#476—431no—
961#476—431no—
962#476C2×D4311yescharacteristic, complemented
963#475—431no—
964#474—431no—
965#474—431no—
966#474—431no—
967#474—431no—
968#474—431no—
969#474C2×D4311yescharacteristic
970#470—431no—
971#469—431no—
972#469—431no—
973#468—431no—
974#468—431no—
975#468—431no—
976#468—431no—
977#468—431no—
978#467—431no—
979#466—431no—
980#466—431no—
981#465—431no—
982#464—431no—
983#464—431no—
984#464—431no—
985#463—431no—
986#463—431no—
987#463—431no—
988#463C2×D4311yescharacteristic
989#463C2×D4311yescharacteristic, complemented
990#460—431no—
991#459—431no—
992#452—431no—
993#450—431no—
994#450C2×D4311yescharacteristic
995#449—431no—
996#447—431no—
997#447C2×D4311yescharacteristic
998#446—431no—
999C8×Q8—431no—
1000#442—431no—
1001#442C2×D4311yescharacteristic
1002#441—431no—
1003#440C2×D4311yescharacteristic, complemented
1004C4×SD16—431no—
1005C4×SD16—431no—
1006C4×SD16—431no—
1007C4×SD16—431no—
1008C4×SD16C2×D4311yescharacteristic
1009C4×D8—431no—
1010C4×D8—431no—
1011C4×D8C2×D4311yescharacteristic, complemented
1012#436—431no—
1013#436—431no—
1014#436—431no—
1015#435—431no—
1016#435—431no—
1017C8×D4—431no—
1018#433—431no—
1019#433C2×D4311yescharacteristic, complemented
1020#431—431no—
1021#428—431no—
1022#428—431no—
1023#428—431no—
1024#428—431no—
1025#427—431no—
1026C2×#107—431no—
1027#424—431no—
1028#424—431no—
1029#423—431no—
1030#418—431no—
1031#418—431no—
1032#418—431no—
1033#417—431no—
1034#416—431no—
1035C2×#102—431no—
1036C43#6217511yescharacteristic, complemented, Sylow
1037C2×#41—431no—
1038C2×#41—861no—
1039C22×D4—431no—
1040C22×D4—861no—
1041C22×D4C22×D4311yescharacteristic
1042C23×C4—861no—
1043C2×Q16—431no—
1044C2×SD16—431no—
1045C2×SD16—431no—
1046C2×SD16C22×D4311yescharacteristic
1047C2×SD16C22×D4311yescharacteristic
1048C2×D8—431no—
1049C2×D8C22×D4311yescharacteristic
1050C2×D8C22×D4311yescharacteristic
1051C2×M16—431no—
1052C2×M16—431no—
1053C2×M16—431no—
1054C2×M16—431no—
1055C22×C8—431no—
1056C22×C8—431no—
1057C4⋊Q8—431no—
1058C4⋊Q8—431no—
1059C4⋊Q8—431no—
1060C4⋊Q8—431no—
1061C4⋊Q8—861no—
1062C4⋊Q8—861no—
1063C4⋊Q8—861no—
1064C4⋊Q8C22×D4311yescharacteristic
1065#127—431no—
1066#126—21no—
1067#126—431no—
1068#126—431no—
1069#126—861no—
1070#126—861no—
1071#126—861no—
1072#126—861no—
1073#126—861no—
1074#126—861no—
1075#126—861no—
1076#126—861no—
1077#126—861no—
1078#126—861no—
1079#126—861no—
1080#126—861no—
1081#125—431no—
1082#125—431no—
1083#125—431no—
1084#125—431no—
1085#125—431no—
1086#125—431no—
1087#125—431no—
1088#125—431no—
1089#125—861no—
1090#125—861no—
1091#125—861no—
1092#125—861no—
1093#125—861no—
1094#125—861no—
1095#125—861no—
1096#124—21no—
1097#124—431no—
1098#124—431no—
1099#124—431no—
1100#124—861no—
1101#124—861no—
1102#124—861no—
1103#124—861no—
1104#124—861no—
1105#124—861no—
1106#124C22×D4311yescharacteristic
1107#123—21no—
1108#123—431no—
1109#123—431no—
1110#123—861no—
1111#123—861no—
1112#123—861no—
1113#123—861no—
1114#123—861no—
1115#123—861no—
1116#123—861no—
1117#123—861no—
1118#123—861no—
1119#123—861no—
1120#123—861no—
1121#123—861no—
1122#123—861no—
1123#123—861no—
1124#123—861no—
1125#123—861no—
1126#123—861no—
1127#123—861no—
1128C22⋊Q8—21no—
1129C22⋊Q8—431no—
1130C22⋊Q8—431no—
1131C22⋊Q8—431no—
1132C22⋊Q8—431no—
1133C22⋊Q8—431no—
1134C22⋊Q8—861no—
1135C22⋊Q8—861no—
1136C22⋊Q8—861no—
1137C22⋊Q8—861no—
1138C22⋊Q8—861no—
1139C22⋊Q8—861no—
1140C22⋊Q8—861no—
1141C22⋊Q8—861no—
1142C22⋊Q8—861no—
1143C22⋊Q8—861no—
1144C22⋊Q8—861no—
1145C22⋊Q8—861no—
1146C22⋊Q8—861no—
1147C22⋊Q8—861no—
1148C22⋊Q8—861no—
1149C22⋊Q8C22×D4311yescharacteristic
1150#121—431no—
1151#121—431no—
1152#121—431no—
1153#121—431no—
1154#121—431no—
1155#121—431no—
1156#121—431no—
1157#121—861no—
1158#121—861no—
1159#121—861no—
1160#121—861no—
1161#121—861no—
1162#121—861no—
1163#121—861no—
1164#121—861no—
1165#121—861no—
1166#121C22×D4311yescharacteristic
1167#120—861no—
1168#120—861no—
1169#120—861no—
1170#120—861no—
1171C4×Q8—431no—
1172C4×Q8—431no—
1173C4×Q8—431no—
1174C4×Q8—431no—
1175C4×Q8—431no—
1176C4×Q8—861no—
1177C4×Q8—861no—
1178C4×Q8—861no—
1179C4×Q8—861no—
1180C4×Q8C22×D4311yescharacteristic
1181C4×D4—21no—
1182C4×D4—21no—
1183C4×D4—431no—
1184C4×D4—431no—
1185C4×D4—431no—
1186C4×D4—431no—
1187C4×D4—431no—
1188C4×D4—431no—
1189C4×D4—431no—
1190C4×D4—431no—
1191C4×D4—431no—
1192C4×D4—861no—
1193C4×D4—861no—
1194C4×D4—861no—
1195C4×D4—861no—
1196C4×D4—861no—
1197C4×D4—861no—
1198C4×D4—861no—
1199C4×D4—861no—
1200C4×D4—861no—
1201C4×D4—861no—
1202C4×D4C22×D4311yescharacteristic
1203C4×D4C22×D4311yescharacteristic
1204C4×D4C22×D4311yescharacteristic
1205C4×D4C22×D4311yescharacteristic
1206C4×D4C22×D4311yescharacteristic
1207#117—431no—
1208#117—431no—
1209#117—431no—
1210#117—431no—
1211#117—431no—
1212#117—861no—
1213#117—861no—
1214#117—861no—
1215#117—861no—
1216#117—861no—
1217#117—861no—
1218#117—861no—
1219#117C22×D4311yescharacteristic
1220#117C22×D4311yescharacteristic
1221C2×C4⋊C4—431no—
1222C2×C4⋊C4—431no—
1223C2×C4⋊C4—431no—
1224C2×C4⋊C4—431no—
1225C2×C4⋊C4—861no—
1226C2×C4⋊C4—861no—
1227C2×C4⋊C4—861no—
1228C2×C22⋊C4—21no—
1229C2×C22⋊C4—21no—
1230C2×C22⋊C4—861no—
1231C2×C22⋊C4—861no—
1232C2×C22⋊C4—861no—
1233C2×C42—431no—
1234#107—431no—
1235#107—431no—
1236#107—431no—
1237#107—431no—
1238#107—431no—
1239#107—431no—
1240#107—431no—
1241#107—431no—
1242#107—431no—
1243#107—431no—
1244#107C22×D4311yescharacteristic
1245#107C22×D4311yescharacteristic
1246#106—431no—
1247#106—431no—
1248#106—431no—
1249#106—431no—
1250#106—431no—
1251#106—431no—
1252#106—431no—
1253#106—431no—
1254#106—431no—
1255#106—431no—
1256#106C22×D4311yescharacteristic
1257#106C22×D4311yescharacteristic
1258C4⋊C8—431no—
1259C4⋊C8—431no—
1260C4⋊C8—431no—
1261C4⋊C8—431no—
1262C4⋊C8—431no—
1263C4⋊C8—431no—
1264C4⋊C8—431no—
1265C4⋊C8—431no—
1266C4⋊C8C22×D4311yescharacteristic
1267C4⋊C8C22×D4311yescharacteristic
1268#103—431no—
1269#103—431no—
1270#103—431no—
1271#103—431no—
1272#103—431no—
1273#103—431no—
1274#103—431no—
1275#103—431no—
1276#103C22×D4311yescharacteristic
1277#103C22×D4311yescharacteristic
1278#102—431no—
1279#102—431no—
1280#102—431no—
1281#102—431no—
1282#102—431no—
1283#102—431no—
1284#102—431no—
1285#102—431no—
1286#102—431no—
1287#102—431no—
1288#102—431no—
1289#102—431no—
1290#102—431no—
1291#102—431no—
1292#102—431no—
1293#102—431no—
1294#102C22×D4311yescharacteristic
1295#102C22×D4311yescharacteristic
1296#102C22×D4311yescharacteristic
1297#102C22×D4311yescharacteristic
1298#102C22×D4311yescharacteristic
1299#102C22×D4311yescharacteristic
1300C22⋊C8—431no—
1301C22⋊C8—431no—
1302C22⋊C8—431no—
1303C22⋊C8—431no—
1304C22⋊C8C22×D4311yescharacteristic
1305C22⋊C8C22×D4311yescharacteristic
1306#97—431no—
1307#97C22×D4311yescharacteristic
1308C4×C8—431no—
1309C4×C8—431no—
1310C4×C8—431no—
1311C4×C8C22×D4311yescharacteristic
1312C24—21no—
1313C24—861no—
1314#41—862no—
1315#41—3442no—
1316#41—1721no—
1317C2×Q8—21no—
1318C2×Q8—431no—
1319C2×Q8—431no—
1320C2×Q8—861no—
1321C2×Q8—861no—
1322C2×Q8—861no—
1323C2×Q8—861no—
1324C2×Q8C23×D4311yescharacteristic
1325C2×D4—22no—
1326C2×D4—21no—
1327C2×D4—21no—
1328C2×D4—41no—
1329C2×D4—431no—
1330C2×D4—431no—
1331C2×D4—431no—
1332C2×D4—431no—
1333C2×D4—861no—
1334C2×D4—861no—
1335C2×D4—861no—
1336C2×D4—861no—
1337C2×D4—862no—
1338C2×D4—861no—
1339C2×D4—861no—
1340C2×D4—861no—
1341C2×D4—861no—
1342C2×D4—861no—
1343C2×D4—861no—
1344C2×D4—3442no—
1345C2×D4—1721no—
1346C2×D4C23×D4311yescharacteristic
1347C2×D4C23×D4311yescharacteristic
1348C2×D4C23×D4311yescharacteristic
1349C22×C4—21no—
1350C22×C4—21no—
1351C22×C4—21no—
1352C22×C4—21no—
1353C22×C4—21no—
1354C22×C4—431no—
1355C22×C4—431no—
1356C22×C4—431no—
1357C22×C4—431no—
1358C22×C4—861no—
1359C22×C4—861no—
1360C22×C4—861no—
1361C22×C4—861no—
1362C22×C4—861no—
1363C22×C4—861no—
1364C22×C4—861no—
1365C22×C4—861no—
1366C22×C4—861no—
1367C22×C4—861no—
1368C22×C4—861no—
1369C22×C4—3442no—
1370C22×C4C23×D4311yescharacteristic
1371Q16—1721no—
1372SD16—22no—
1373SD16—41no—
1374SD16—1721no—
1375SD16—1721no—
1376D8—22no—
1377D8—41no—
1378D8—1721no—
1379M16—1721no—
1380M16—1721no—
1381M16—1721no—
1382M16—1721no—
1383C2×C8—431no—
1384C2×C8—431no—
1385C2×C8—431no—
1386C2×C8—431no—
1387C2×C8—1721no—
1388C2×C8—1721no—
1389C2×C8C23×D4311yescharacteristic
1390C2×C8C23×D4311yescharacteristic
1391C2×C8C23×D4311yescharacteristic
1392C2×C8C23×D4311yescharacteristic
1393C4⋊C4—21no—
1394C4⋊C4—21no—
1395C4⋊C4—21no—
1396C4⋊C4—431no—
1397C4⋊C4—431no—
1398C4⋊C4—431no—
1399C4⋊C4—431no—
1400C4⋊C4—431no—
1401C4⋊C4—431no—
1402C4⋊C4—431no—
1403C4⋊C4—431no—
1404C4⋊C4—431no—
1405C4⋊C4—431no—
1406C4⋊C4—431no—
1407C4⋊C4—431no—
1408C4⋊C4—431no—
1409C4⋊C4—431no—
1410C4⋊C4—861no—
1411C4⋊C4—861no—
1412C4⋊C4—861no—
1413C4⋊C4—861no—
1414C4⋊C4—861no—
1415C4⋊C4—861no—
1416C4⋊C4—861no—
1417C4⋊C4—861no—
1418C4⋊C4—861no—
1419C4⋊C4—861no—
1420C4⋊C4—861no—
1421C4⋊C4—861no—
1422C4⋊C4—861no—
1423C4⋊C4—861no—
1424C4⋊C4—861no—
1425C4⋊C4—861no—
1426C4⋊C4—861no—
1427C4⋊C4—861no—
1428C4⋊C4—861no—
1429C4⋊C4—861no—
1430C4⋊C4—861no—
1431C4⋊C4—861no—
1432C4⋊C4—861no—
1433C4⋊C4—861no—
1434C4⋊C4—861no—
1435C4⋊C4—861no—
1436C4⋊C4—861no—
1437C4⋊C4—861no—
1438C4⋊C4—861no—
1439C4⋊C4—861no—
1440C4⋊C4D4×D4311yescharacteristic
1441C4⋊C4D4×D4311yescharacteristic
1442C4⋊C4C23×D4311yescharacteristic
1443C4⋊C4C23×D4311yescharacteristic
1444C4⋊C4C23×D4311yescharacteristic
1445C4⋊C4C23×D4311yescharacteristic
1446C22⋊C4—21no—
1447C22⋊C4—21no—
1448C22⋊C4—21no—
1449C22⋊C4—21no—
1450C22⋊C4—21no—
1451C22⋊C4—21no—
1452C22⋊C4—21no—
1453C22⋊C4—21no—
1454C22⋊C4—21no—
1455C22⋊C4—21no—
1456C22⋊C4—431no—
1457C22⋊C4—431no—
1458C22⋊C4—431no—
1459C22⋊C4—431no—
1460C22⋊C4—431no—
1461C22⋊C4—431no—
1462C22⋊C4—431no—
1463C22⋊C4—431no—
1464C22⋊C4—861no—
1465C22⋊C4—861no—
1466C22⋊C4—861no—
1467C22⋊C4—861no—
1468C22⋊C4—861no—
1469C22⋊C4—861no—
1470C22⋊C4—861no—
1471C22⋊C4—861no—
1472C22⋊C4—861no—
1473C22⋊C4—861no—
1474C22⋊C4—861no—
1475C22⋊C4—861no—
1476C22⋊C4—861no—
1477C22⋊C4—861no—
1478C22⋊C4—861no—
1479C22⋊C4—861no—
1480C22⋊C4—861no—
1481C22⋊C4—861no—
1482C22⋊C4—861no—
1483C22⋊C4—861no—
1484C22⋊C4—861no—
1485C22⋊C4—861no—
1486C22⋊C4—861no—
1487C22⋊C4—861no—
1488C22⋊C4D4×D4311yescharacteristic
1489C22⋊C4D4×D4311yescharacteristic
1490C42—21no—
1491C42—21no—
1492C42—431no—
1493C42—431no—
1494C42—431no—
1495C42—431no—
1496C42—861no—
1497C42—861no—
1498C42—861no—
1499C42—861no—
1500C42—861no—
1501C42—861no—
1502C42—861no—
1503C42—861no—
1504C42C23×D4311yescharacteristic
1505C42C23×D4311yescharacteristic
1506C23—21no—
1507C23—21no—
1508C23—21no—
1509C23—42no—
1510C23—81no—
1511C23—81no—
1512C23—431no—
1513C23—431no—
1514C23—861no—
1515C23—3441no—
1516C23—1722no—
1517C23—1722no—
1518C23C2×D4×D4311yescharacteristic
1519Q8—21no—
1520Q8—21no—
1521Q8—81no—
1522Q8—861no—
1523Q8—861no—
1524Q8—3441no—
1525Q8—3441no—
1526Q8—3441no—
1527Q8—3441no—
1528Q8—1721no—
1529D4—21no—
1530D4—21no—
1531D4—21no—
1532D4—21no—
1533D4—21no—
1534D4—42no—
1535D4—81no—
1536D4—861no—
1537D4—861no—
1538D4—3441no—
1539D4—3441no—
1540D4—3441no—
1541D4—3441no—
1542D4—3441no—
1543D4—3441no—
1544D4—3441no—
1545D4—1721no—
1546D4—1721no—
1547D4—1721no—
1548D4—1722no—
1549D4—1722no—
1550D4—1722no—
1551D4#1306337212yes—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—81no—
1560C2×C4—81no—
1561C2×C4—81no—
1562C2×C4—81no—
1563C2×C4—81no—
1564C2×C4—431no—
1565C2×C4—431no—
1566C2×C4—431no—
1567C2×C4—431no—
1568C2×C4—431no—
1569C2×C4—431no—
1570C2×C4—861no—
1571C2×C4—861no—
1572C2×C4—861no—
1573C2×C4—861no—
1574C2×C4—861no—
1575C2×C4—861no—
1576C2×C4—861no—
1577C2×C4—861no—
1578C2×C4—861no—
1579C2×C4—861no—
1580C2×C4—861no—
1581C2×C4—3441no—
1582C2×C4—3441no—
1583C2×C4—3441no—
1584C2×C4—3441no—
1585C2×C4—3441no—
1586C2×C4—3441no—
1587C2×C4—3441no—
1588C2×C4—3441no—
1589C2×C4—3441no—
1590C2×C4—1721no—
1591C2×C4—1721no—
1592C2×C4—1722no—
1593C2×C4—1722no—
1594C2×C4C2×D4×D4311yescharacteristic
1595C2×C4C2×D4×D4311yescharacteristic
1596C2×C4C2×D4×D4311yescharacteristic
1597C2×C4C2×D4×D4311yescharacteristic
1598C2×C4C2×D4×D4311yescharacteristic
1599C2×C4C24×D4311yescharacteristic
1600C8—21no—
1601C8—21no—
1602C8—21no—
1603C8—21no—
1604C8—861no—
1605C8—861no—
1606C8—861no—
1607C8—861no—
1608C22—21no—
1609C22—21no—
1610C22—21no—
1611C22—22no—
1612C22—41no—
1613C22—41no—
1614C22—41no—
1615C22—41no—
1616C22—41no—
1617C22—41no—
1618C22—41no—
1619C22—41no—
1620C22—162no—
1621C22—861no—
1622C22—861no—
1623C22—861no—
1624C22—861no—
1625C22—861no—
1626C22—861no—
1627C22—3444no—
1628C22—1721no—
1629C22—1721no—
1630C22—1721no—
1631C22C22×D4×D4311yescharacteristic
1632C4—21no—
1633C4—21no—
1634C4—21no—
1635C4—21no—
1636C4—21no—
1637C4—41no—
1638C4—41no—
1639C4—41no—
1640C4—41no—
1641C4—41no—
1642C4—861no—
1643C4—861no—
1644C4—861no—
1645C4—861no—
1646C4—861no—
1647C4—861no—
1648C4—1721no—
1649C4—1721no—
1650C4—1721no—
1651C4—1721no—
1652C4—1721no—
1653C4—1721no—
1654C4—1721no—
1655C4C2×#1306337211yescharacteristic
1656C4#1458373511yescharacteristic
1657C2—41no—
1658C2—42no—
1659C2—81no—
1660C2—81no—
1661C2—3441no—
1662C2—1721no—
1663C2—1721no—
1664C2#1914826711yescharacteristic
1665C2#1914936711yescharacteristic
1666C2#1914937011yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3118C2
socleC22×C43C23×D4
hypercenter#3118D43
hypocenterC43#62175
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. #19149242C2semidirect
2. #19148523C2semidirect
3. #19147554C2semidirect
4. #19147468C2semidirect
5. #19147368C2semidirect
6. #19147256C2semidirect
7. #19147192C2semidirect
8. #19147153C2semidirect
9. #19147148C2semidirect
10. #19147129C2semidirect
11. #19147040C2semidirect
12. #19146990C2semidirect
13. #19146819C2semidirect
14. #19146816C2semidirect
15. #19146800C2semidirect
16. #19146756C2semidirect
17. #19146740C2semidirect
18. #19146434C2semidirect
19. #19146051C2semidirect
20. #19146011C2semidirect
21. #19145993C2semidirect
22. #19145895C2semidirect
23. #19145847C2semidirect
24. #19145773C2semidirect
25. #19144869C2semidirect
26. #19144641C2semidirect
27. #19144441C2semidirect
28. #19144426C2semidirect
29. #19144387C2semidirect
30. #19143738C2semidirect
31. C43×#3118C2semidirect
35. #14583628C22semidirect
38. #14583614C22semidirect
39. #14583608C22semidirect
42. #14583596C22semidirect
45. #14583591C22semidirect
46. #14583590C22semidirect
56. #14583527C22semidirect
57. #14583526C22semidirect
60. #14583518C22semidirect
67. #14583454C22semidirect
69. #14583428C22semidirect
75. #14583308C22semidirect
76. #14583306C22semidirect
77. #14583299C22semidirect
78. #14583299C22semidirect
79. #14583299C22semidirect
80. #14583297C22semidirect
82. #14583259C22semidirect
83. #14583254C22semidirect
84. #14583252C22semidirect
85. #14583252C22semidirect
87. #14583243C22semidirect
88. #14583243C22semidirect
89. #14583241C22semidirect
90. #14583233C22semidirect
91. #14583230C22semidirect
92. #14583228C22semidirect
93. #14583225C22semidirect
97. #14583222C22semidirect
98. #14583219C22semidirect
100. #14583216C22semidirect
101. #14583216C22semidirect
102. #14583211C22semidirect
103. #14583207C22semidirect
104. #14583205C22semidirect
105. #14583204C22semidirect
106. #14583204C22semidirect
107. #14583202C22semidirect
108. #14583202C22semidirect
112. #14583201C22semidirect
113. #14583200C22semidirect
116. #14583199C22semidirect
117. #14583199C22semidirect
118. #14583197C22semidirect
119. #14583194C22semidirect
120. #14583193C22semidirect
121. #14583191C22semidirect
122. #14583190C22semidirect
124. #14583189C22semidirect
125. #14583185C22semidirect
127. #14583179C22semidirect
128. #14583179C22semidirect
130. #14583176C22semidirect
131. #14583156C22semidirect
133. #14583149C22semidirect
134. #14583148C22semidirect
136. #14583144C22semidirect
137. #14583143C22semidirect
139. #14583138C22semidirect
140. #14583134C22semidirect
142. #14583125C22semidirect
143. #14583121C22semidirect
144. #14583119C22semidirect
145. #14583118C22semidirect
146. #14583114C22semidirect
147. #14583112C22semidirect
148. #14583111C22semidirect
155. #14583027C22semidirect
156. C8×Dic86C22semidirect
158. #14583003C22semidirect
159. #14582990C22semidirect
162. #14582984C22semidirect
164. #14582979C22semidirect
165. #14582978C22semidirect
167. #14582974C22semidirect
168. #14582972C22semidirect
170. (C22⋊D43)⋊C8C22semidirect
171. #14582959C22semidirect
172. #14582951C22semidirect
173. #14582942C22semidirect
174. #14582940C22semidirect
175. #14582940C22semidirect
176. #14582940C22semidirect
177. #14582935C22semidirect
178. #107×D43C22semidirect
179. #14582926C22semidirect
180. #14582924C22semidirect
181. #14582921C22semidirect
188. C43×#542C22semidirect
190. C43×#485C22semidirect
191. C43×#482C22semidirect
192. C43×#476C22semidirect
195. C43×#463C22semidirect
199. C43×#440C22semidirect
201. C4×D8×C43C22semidirect
202. C43×#433C22semidirect
849. #3118D43semidirect
895. #542C2×D43semidirect
925. #485C2×D43semidirect
934. #482C2×D43semidirect
962. #476C2×D43semidirect
989. #463C2×D43semidirect
1003. #440C2×D43semidirect
1011. C4×D8C2×D43semidirect
1019. #433C2×D43semidirect
1036. C43#62175semidirect

Maximal subgroups

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

subgroupindex
#191492422
#191485232
#191475542
#191474682
#191473682
#191472562
#191471922
#191471532
#191471482
#191471292
#191470402
#191469902
#191468192
#191468162
#191468002
#191467562
#191467402
#191464342
#191460512
#191460112
#191459932
#191458952
#191458472
#191457732
#191448692
#191446412
#191444412
#191444262
#191443872
#191437382
C43×#31182
#6217543