Finite Group Databasebeta

← #25979796

Subgroups — #25979796

Order 11008.

1886 conjugacy classes of subgroups.

The subgroup lattice has 1758 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19148539C211yesmaximal, characteristic, complemented
2#19147637C211yesmaximal, characteristic, complemented
3#19147534C211yesmaximal, characteristic, complemented
4#19147363C211yesmaximal, characteristic, complemented
5#19147298C211yesmaximal, characteristic, complemented
6#19147149C211yesmaximal, characteristic, complemented
7#19147065C211yesmaximal, characteristic, complemented
8#19147059C211yesmaximal, characteristic, complemented
9#19146922C211yesmaximal, characteristic, complemented
10#19146790C211yesmaximal, characteristic, complemented
11#19146730C211yesmaximal, characteristic, complemented
12#19146721C211yesmaximal, characteristic, complemented
13#19146601C211yesmaximal, characteristic, complemented
14#19146550C211yesmaximal, characteristic, complemented
15#19146215C211yesmaximal, characteristic, complemented
16#19146136C211yesmaximal, characteristic, complemented
17#19146136C211yesmaximal, characteristic, complemented
18#19145280C211yesmaximal, characteristic, complemented
19#19145239C211yesmaximal, characteristic, complemented
20#19145184C211yesmaximal, characteristic, complemented
21#19144872C211yesmaximal, characteristic, complemented
22#19144833C211yesmaximal, characteristic, complemented
23#19144794C211yesmaximal, characteristic, complemented
24#19144788C211yesmaximal, characteristic, complemented
25#19144704C211yesmaximal, characteristic, complemented
26#19144682C211yesmaximal, characteristic, complemented
27#19143582C211yesmaximal, characteristic, complemented
28#19143476C211yesmaximal, characteristic, complemented
29#19143423C211yesmaximal, characteristic, complemented
30C4×#13063350C211yesmaximal, characteristic, complemented
31C43×#3517C211yesmaximal, characteristic, complemented
32C2×#13063350C2211yescharacteristic
33C2×#13063350C2211yescharacteristic
34C2×#13063345C2211yescharacteristic
35#14583634C2211yescharacteristic
36#14583609C2211yescharacteristic
37#14583600—21no—
38#14583595C2211yescharacteristic
39#14583589C2211yescharacteristic
40#14583576—21no—
41#14583574—21no—
42#14583553C2211yescharacteristic
43#14583545C2211yescharacteristic
44#14583545C2211yescharacteristic
45#14583538—21no—
46D4×D172C2211yescharacteristic
47#14583520C2211yescharacteristic
48#14583504C2211yescharacteristic
49#14583497—21no—
50#14583483—21no—
51#14583433C2211yescharacteristic
52#14583407—21no—
53#123×D43—21no—
54#14583379C2211yescharacteristic
55#14583373C2211yescharacteristic
56C2×C4×D172C2211yescharacteristic
57#14583309C2211yescharacteristic, complemented
58#14583305C2211yescharacteristic, complemented
59#14583298C2211yescharacteristic, complemented
60#14583286C2211yescharacteristic, complemented
61#14583286C2211yescharacteristic, complemented
62#14583275C2211yescharacteristic
63#14583265C2211yescharacteristic
64#14583263C2211yescharacteristic, complemented
65#14583263C2211yescharacteristic, complemented
66#14583261C2211yescharacteristic, complemented
67#14583256C2211yescharacteristic, complemented
68#14583245C2211yescharacteristic, complemented
69#14583240C2211yescharacteristic, complemented
70#14583229C2211yescharacteristic, complemented
71#14583223C2211yescharacteristic
72#14583220C2211yescharacteristic, complemented
73#14583220C2211yescharacteristic, complemented
74#14583217C2211yescharacteristic
75#14583217C2211yescharacteristic, complemented
76#14583215C2211yescharacteristic, complemented
77#14583215C2211yescharacteristic, complemented
78#14583215C2211yescharacteristic, complemented
79#14583212C2211yescharacteristic, complemented
80#14583210C2211yescharacteristic, complemented
81#14583206C2211yescharacteristic, complemented
82#14583206C2211yescharacteristic, complemented
83#14583203C2211yescharacteristic, complemented
84#14583199C2211yescharacteristic, complemented
85#14583199C2211yescharacteristic, complemented
86#14583196C2211yescharacteristic
87#14583196C2211yescharacteristic
88#14583196C2211yescharacteristic, complemented
89#14583189C2211yescharacteristic, complemented
90#14583186C2211yescharacteristic
91#14583186C2211yescharacteristic, complemented
92#14583184C2211yescharacteristic, complemented
93#14583150C2211yescharacteristic
94#14583150C2211yescharacteristic
95#14583150C2211yescharacteristic
96#14583150C2211yescharacteristic, complemented
97#14583150C2211yescharacteristic, complemented
98#14583143C2211yescharacteristic, complemented
99#14583143C2211yescharacteristic, complemented
100#14583143C2211yescharacteristic, complemented
101#14583133C2211yescharacteristic
102#14583133C2211yescharacteristic, complemented
103#14583133C2211yescharacteristic, complemented
104#14583126C2211yescharacteristic, complemented
105#14583121C2211yescharacteristic, complemented
106#14583121C2211yescharacteristic, complemented
107#14583114C2211yescharacteristic, complemented
108#14583114C2211yescharacteristic, complemented
109#14583099C2211yescharacteristic
110#14583096C2211yescharacteristic, complemented
111#14583094C2211yescharacteristic
112#14583091C2211yescharacteristic
113#14583091C2211yescharacteristic
114#14583091C2211yescharacteristic
115#14583091C2211yescharacteristic, complemented
116#14583091C2211yescharacteristic, complemented
117#14583061C2211yescharacteristic, complemented
118#14583061C2211yescharacteristic, complemented
119#14583044C2211yescharacteristic
120#14583044C2211yescharacteristic
121#14583044C2211yescharacteristic, complemented
122#14583044C2211yescharacteristic, complemented
123#14583042C2211yescharacteristic
124#14583042C2211yescharacteristic
125#14583032C2211yescharacteristic
126#14583032C2211yescharacteristic
127#14583032C2211yescharacteristic
128#14583032C2211yescharacteristic
129#14583030C2211yescharacteristic, complemented
130#14583030C2211yescharacteristic, complemented
131#14583009C2211yescharacteristic
132#14583009C2211yescharacteristic
133#14583009C2211yescharacteristic
134#14583009C2211yescharacteristic
135#14583009C2211yescharacteristic, complemented
136#14583009C2211yescharacteristic, complemented
137#14583009C2211yescharacteristic, complemented
138#14583009C2211yescharacteristic, complemented
139#14583009C2211yescharacteristic, complemented
140#14583004C2211yescharacteristic, complemented
141#14583004C2211yescharacteristic, complemented
142#14582999C2211yescharacteristic, complemented
143#14582997C2211yescharacteristic
144#14582997C2211yescharacteristic
145#14582997C2211yescharacteristic, complemented
146#14582997C2211yescharacteristic, complemented
147C4×#10621884C2211yescharacteristic
148C4×#10621884C2211yescharacteristic
149C4×#10621884C2211yescharacteristic, complemented
150C4×#10621884C2211yescharacteristic, complemented
151C4×#10621883C2211yescharacteristic, complemented
152C4×#10621883C2211yescharacteristic, complemented
153C4×#10621883C2211yescharacteristic, complemented
154C4×#10621882C2211yescharacteristic
155C4×#10621882C2211yescharacteristic
156C4×#10621882C2211yescharacteristic, complemented
157C4×#10621882C2211yescharacteristic, complemented
158C4×#10621882C2211yescharacteristic, complemented
159#14582977C2211yescharacteristic
160#14582977C2211yescharacteristic, complemented
161#14582971C2211yescharacteristic
162#14582971C2211yescharacteristic, complemented
163#14582971C2211yescharacteristic, complemented
164#14582971C2211yescharacteristic, complemented
165#14582960C2211yescharacteristic, complemented
166#14582960C2211yescharacteristic, complemented
167#14582956C2211yescharacteristic, complemented
168#14582942C2211yescharacteristic, complemented
169#14582939C2211yescharacteristic, complemented
170C2×#13063256C2211yescharacteristic, complemented
171#14582903C2211yescharacteristic
172#14582900C2211yescharacteristic, complemented
173#14582900C2211yescharacteristic, complemented
174#14582898C2211yescharacteristic
175#14582895C2211yescharacteristic, complemented
176C2×#13063245C2211yescharacteristic
177#14582855C2211yescharacteristic, complemented
178#14582855C2211yescharacteristic, complemented
179C4×#10621877C2211yescharacteristic, complemented
180C43×#557C2211yescharacteristic, complemented
181C43×#553—21no—
182C43×#553—21no—
183C43×#553C2211yescharacteristic
184C43×#553C2211yescharacteristic, complemented
185C43×#550—21no—
186C43×#550C2211yescharacteristic
187C43×#550C2211yescharacteristic, complemented
188C43×#550C2211yescharacteristic, complemented
189C43×#550C2211yescharacteristic, complemented
190C43×#547—21no—
191C43×#547C2211yescharacteristic, complemented
192C43×#540—21no—
193C43×#540—21no—
194C43×#540C2211yescharacteristic, complemented
195C43×#540C2211yescharacteristic, complemented
196C43×#532—21no—
197C43×#532C2211yescharacteristic, complemented
198C43×#529—21no—
199C43×#529C2211yescharacteristic
200C43×#520C2211yescharacteristic, complemented
201C43×#520C2211yescharacteristic, complemented
202C4×#41×C43C2211yescharacteristic, complemented
203C2×#10621898C2311yescharacteristic
204C2×#10621900—21no—
205C22×D172C2311yescharacteristic
206C22×D172C2311yescharacteristic
207C2×D4×D43—21no—
208C22×C4×D43—21no—
209#13063350—24no—
210#13063350—24no—
211#13063345—24no—
212C2×#10621885C2311yescharacteristic
213C2×#10621883C2311yescharacteristic
214C2×#10621883C2311yescharacteristic
215C2×#10621883C2311yescharacteristic
216C2×#10621884C2311yescharacteristic
217C2×#10621884C2311yescharacteristic
218C2×#10621884C2311yescharacteristic
219C2×#10621882C2311yescharacteristic
220C2×#10621882C2311yescharacteristic
221C2×#10621882C2311yescharacteristic
222C2×#10621882C2311yescharacteristic
223C2×#10621882C2311yescharacteristic
224C2×#10621882C2311yescharacteristic
225C2×#10621882C2311yescharacteristic
226C2×#10621882C2311yescharacteristic
227C2×#10621882C2311yescharacteristic
228C2×#10621877C2311yescharacteristic
229C2×#10621877C2311yescharacteristic
230C2×#10621877C2311yescharacteristic
231C2×#10621877C2311yescharacteristic
232C22×C43⋊C8C2311yescharacteristic
233C22×C43⋊C8C2311yescharacteristic
234#13063325C2311yescharacteristic
235#13063322C2311yescharacteristic
236#13063320—21no—
237#13063320—21no—
238#13063319—21no—
239#13063318—21no—
240#13063317C2311yescharacteristic
241#13063317C2311yescharacteristic
242#13063315—21no—
243#13063314—21no—
244#13063313C2311yescharacteristic
245#13063313C2311yescharacteristic
246#13063311—21no—
247#13063310—21no—
248#13063310—21no—
249#13063310—21no—
250#13063310—21no—
251#13063310—21no—
252#13063310—21no—
253#13063309—21no—
254#13063309—21no—
255#13063308—21no—
256#13063307—21no—
257#13063307—21no—
258#13063306—21no—
259#13063305—21no—
260#13063304C2311yescharacteristic
261#13063304C2311yescharacteristic
262#13063303—21no—
263#13063303—21no—
264#13063303—21no—
265#13063301—21no—
266#13063300—21no—
267#13063299C2311yescharacteristic
268#13063299C2311yescharacteristic
269#13063299C2311yescharacteristic
270#13063299C2311yescharacteristic
271#13063298—21no—
272#13063298—21no—
273#13063298—21no—
274#13063298—21no—
275#13063297—21no—
276#13063295—21no—
277#13063295—21no—
278#13063293—21no—
279#13063293—21no—
280C4×Dic86C2311yescharacteristic
281C4×Dic86C2311yescharacteristic
282C4×D172—21no—
283C4×D172—21no—
284C4×D172C2311yescharacteristic
285C4×D172C2311yescharacteristic
286C4×D172C2311yescharacteristic
287C4×D172C2311yescharacteristic
288C4×D172C2311yescharacteristic
289C4×D172C2311yescharacteristic
290C4×D172C2311yescharacteristic
291C4×D172C2311yescharacteristic
292#13063287—21no—
293#13063287—21no—
294#13063287—21no—
295C4×C22⋊D43—21no—
296(C22⋊D43)⋊C4—21no—
297(C22⋊D43)⋊C4—21no—
298(C22⋊D43)⋊C4—21no—
299#13063284C2311yescharacteristic
300#13063283—21no—
301#13063282—21no—
302#13063281—21no—
303C2×C4⋊Dic43C2311yescharacteristic
304C2×C4⋊Dic43C2311yescharacteristic
305C4⋊C4×D43—21no—
306C4⋊C4×D43—21no—
307C2×(C2×D43)⋊C4—21no—
308C22⋊C4×D43—21no—
309C22⋊C4×D43—21no—
310C22⋊C4×D43—21no—
311C22⋊C4×D43—21no—
312#13063258C2311yescharacteristic
313#13063258C2311yescharacteristic
314#13063258C2311yescharacteristic
315#13063258C2311yescharacteristic
316#13063258C2311yescharacteristic
317#13063258C2311yescharacteristic
318#13063256C2311yescharacteristic
319#13063256C2311yescharacteristic
320#13063256C2311yescharacteristic
321#13063256C2311yescharacteristic
322#13063256C2311yescharacteristic
323#13063256C2311yescharacteristic
324#13063256C2311yescharacteristic
325#13063256C2311yescharacteristic
326#13063256C2311yescharacteristic
327#13063256C2311yescharacteristic
328C4⋊(C43⋊C8)C2311yescharacteristic
329C4⋊(C43⋊C8)C2311yescharacteristic
330C4⋊(C43⋊C8)C2311yescharacteristic
331C4⋊(C43⋊C8)C2311yescharacteristic
332C4⋊(C43⋊C8)C2311yescharacteristic
333C4⋊(C43⋊C8)C2311yescharacteristic
334#13063249C2311yescharacteristic
335#13063249C2311yescharacteristic
336#13063249C2311yescharacteristic
337#13063249C2311yescharacteristic
338#13063248C2311yescharacteristic
339#13063248C2311yescharacteristic
340#13063248C2311yescharacteristic
341#13063248C2311yescharacteristic
342#13063246C2311yescharacteristic
343#13063246C2311yescharacteristic
344#13063246C2311yescharacteristic
345#13063246C2311yescharacteristic
346#13063246C2311yescharacteristic
347#13063246C2311yescharacteristic
348#13063246C2311yescharacteristic
349#13063246C2311yescharacteristic
350#13063246C2311yescharacteristic
351#13063246C2311yescharacteristic
352#13063246C2311yescharacteristic
353#13063246C2311yescharacteristic
354#13063245C2311yescharacteristic
355#13063245C2311yescharacteristic
356#13063245C2311yescharacteristic
357#13063245C2311yescharacteristic
358#13063245C2311yescharacteristic
359#13063245C2311yescharacteristic
360#13063245C2311yescharacteristic
361#13063245C2311yescharacteristic
362#13063245C2311yescharacteristic
363#13063245C2311yescharacteristic
364#13063245C2311yescharacteristic
365#13063245C2311yescharacteristic
366C22⋊(C43⋊C8)C2311yescharacteristic
367C22⋊(C43⋊C8)C2311yescharacteristic
368C22⋊(C43⋊C8)C2311yescharacteristic
369C22⋊(C43⋊C8)C2311yescharacteristic
370C22⋊(C43⋊C8)C2311yescharacteristic
371C22⋊(C43⋊C8)C2311yescharacteristic
372#13063236C2311yescharacteristic
373#13063236C2311yescharacteristic
374#13063236C2311yescharacteristic
375#13063236C2311yescharacteristic
376#13063236C2311yescharacteristic
377#13063236C2311yescharacteristic
378C4×C43⋊C8C2311yescharacteristic
379C4×C43⋊C8C2311yescharacteristic
380C4×C43⋊C8C2311yescharacteristic
381C4×C43⋊C8C2311yescharacteristic
382C2×#41×C43—21no—
383C2×#41×C43—21no—
384C2×#41×C43—21no—
385C2×#41×C43C2311yescharacteristic
386C2×#41×C43C2311yescharacteristic
387C2×#41×C43C2311yescharacteristic
388C4⋊Q8×C43—21no—
389C4⋊Q8×C43C2311yescharacteristic
390#127×C43—21no—
391#127×C43—21no—
392#127×C43—21no—
393#127×C43C2311yescharacteristic
394#127×C43C2311yescharacteristic
395#127×C43C2311yescharacteristic
396#126×C43—21no—
397#126×C43—21no—
398#126×C43D411yescharacteristic
399#126×C43D411yescharacteristic
400#125×C43—21no—
401#125×C43—21no—
402#125×C43D411yescharacteristic
403#125×C43C2311yescharacteristic
404#125×C43C2311yescharacteristic
405#124×C43—21no—
406#124×C43D411yescharacteristic
407#123×C43—21no—
408#123×C43—21no—
409#123×C43—21no—
410#123×C43—21no—
411#123×C43—21no—
412#123×C43—21no—
413#123×C43—21no—
414#123×C43—21no—
415#123×C43D411yescharacteristic
416#123×C43D411yescharacteristic
417C22⋊Q8×C43—21no—
418C22⋊Q8×C43D411yescharacteristic
419#121×C43—21no—
420#121×C43—21no—
421#121×C43—21no—
422#121×C43—21no—
423#121×C43—21no—
424#121×C43—21no—
425#121×C43—21no—
426#121×C43—21no—
427#121×C43—21no—
428#121×C43—21no—
429#121×C43—21no—
430#121×C43—21no—
431#121×C43—21no—
432#121×C43—21no—
433#121×C43—21no—
434#121×C43—21no—
435#121×C43D411yescharacteristic
436#121×C43C2311yescharacteristic
437#121×C43C2311yescharacteristic
438#121×C43C2311yescharacteristic
439#121×C43C2311yescharacteristic
440#121×C43C2311yescharacteristic
441#121×C43C2311yescharacteristic
442C4×Q8×C43—21no—
443C4×Q8×C43C2311yescharacteristic
444C4×Q8×C43C2311yescharacteristic
445C4×Q8×C43C2311yescharacteristic
446C4×Q8×C43C2311yescharacteristic
447C4×Q8×C43C2311yescharacteristic
448C4×D4×C43—21no—
449C4×D4×C43—21no—
450C4×D4×C43—21no—
451C4×D4×C43—21no—
452C4×D4×C43—21no—
453C4×D4×C43—21no—
454C4×D4×C43—21no—
455C4×D4×C43—21no—
456C4×D4×C43—21no—
457C4×D4×C43—21no—
458C4×D4×C43—21no—
459C4×D4×C43—21no—
460C4×D4×C43C2311yescharacteristic
461C4×D4×C43C2311yescharacteristic
462C4×D4×C43C2311yescharacteristic
463C4×D4×C43C2311yescharacteristic
464C4×D4×C43C2311yescharacteristic
465C4×D4×C43C2311yescharacteristic
466C4×D4×C43C2311yescharacteristic
467C4×D4×C43C2311yescharacteristic
468C4×D4×C43C2311yescharacteristic
469#117×C43—21no—
470#117×C43—21no—
471#117×C43—21no—
472#117×C43C2311yescharacteristic
473#117×C43C2311yescharacteristic
474#117×C43C2311yescharacteristic
475C2×C4⋊C4×C43—21no—
476C2×C4⋊C4×C43—21no—
477C2×C4⋊C4×C43C2311yescharacteristic
478C2×C4⋊C4×C43C2311yescharacteristic
479C2×C42×C43—21no—
480C2×C42×C43C2311yescharacteristic
481C23×D43—21no—
482C23×D43—21no—
483#41×C43—22no—
484#41×C43—22no—
485#41×C43—22no—
486#41×C43—41no—
487#41×C43—41no—
488#41×C43—41no—
489#41×C43—82no—
490#41×C43—82no—
491#41×C43—82no—
492C2×Q8×C43—21no—
493C2×Q8×C43C2×D411yescharacteristic
494C2×Q8×C43C2411yescharacteristic
495C2×D4×C43—21no—
496C2×D4×C43—21no—
497C2×D4×C43—21no—
498C2×D4×C43—21no—
499C2×D4×C43—21no—
500C2×D4×C43—21no—
501C2×D4×C43—21no—
502C2×D4×C43—21no—
503C2×D4×C43—21no—
504C2×D4×C43—21no—
505C2×D4×C43—21no—
506C2×D4×C43—21no—
507C2×D4×C43—21no—
508C2×D4×C43—21no—
509C2×D4×C43—21no—
510C2×D4×C43C2×D411yescharacteristic
511C2×D4×C43C2×D411yescharacteristic
512C2×D4×C43C2×D411yescharacteristic
513C2×D4×C43C2411yescharacteristic
514C2×D4×C43C2411yescharacteristic
515C2×D4×C43C2411yescharacteristic
516C22×C4×C43—21no—
517C22×C4×C43—21no—
518C22×C4×C43—21no—
519C22×C4×C43—21no—
520C22×C4×C43—21no—
521C22×C4×C43—21no—
522C22×C4×C43—21no—
523C22×C4×C43—21no—
524C22×C4×C43—21no—
525C22×C4×C43—21no—
526C22×C4×C43—21no—
527C22×C4×C43C2×D411yescharacteristic
528C22×C4×C43C2×D411yescharacteristic
529C22×C4×C43C2411yescharacteristic
530C22×C4×C43C2411yescharacteristic
531C22×C4×C43C2411yescharacteristic
532C2×C22⋊D43—21no—
533C2×C22⋊D43—21no—
534C2×C22⋊D43—21no—
535C2×C22⋊D43—21no—
536C2×C22⋊D43—21no—
537C22×Dic43—21no—
538C22×Dic43—21no—
539#10621900—82no—
540D4×D43—82no—
541#10621898—22no—
542#10621898—41no—
543C2×D172—21no—
544C2×D172—21no—
545C2×D172—21no—
546C2×D172—21no—
547C2×D172—22no—
548C2×D172—22no—
549C2×D172—41no—
550C2×D172—41no—
551C2×D172C2411yescharacteristic
552C2×D172C2411yescharacteristic
553C2×D172C2411yescharacteristic
554C2×C4×D43—21no—
555C2×C4×D43—21no—
556C2×C4×D43—21no—
557C2×C4×D43—21no—
558C2×C4×D43—21no—
559C2×C4×D43—21no—
560C2×C4×D43—21no—
561C2×C4×D43—21no—
562C2×C4×D43—21no—
563C2×C4×D43—82no—
564C2×Dic86—21no—
565C2×Dic86C2411yescharacteristic
566C4⋊C4×C43—21no—
567C4⋊C4×C43—21no—
568C4⋊C4×C43—21no—
569C4⋊C4×C43—21no—
570C4⋊C4×C43—21no—
571C4⋊C4×C43—21no—
572C4⋊C4×C43—21no—
573C4⋊C4×C43—21no—
574C4⋊C4×C43—21no—
575C4⋊C4×C43—21no—
576C4⋊C4×C43—21no—
577C4⋊C4×C43C2×D411yescharacteristic
578C4⋊C4×C43C2×D411yescharacteristic
579C4⋊C4×C43C2×D411yescharacteristic
580C4⋊C4×C43C2×D411yescharacteristic
581C4⋊C4×C43C2×D411yescharacteristic
582C4⋊C4×C43C2×D411yescharacteristic
583C4⋊C4×C43C2×D411yescharacteristic
584C4⋊C4×C43C2×D411yescharacteristic
585C4⋊C4×C43C2×D411yescharacteristic
586C4⋊C4×C43C2×D411yescharacteristic
587C4⋊C4×C43C2411yescharacteristic
588C4⋊C4×C43C2411yescharacteristic
589C4⋊C4×C43C2411yescharacteristic
590C4⋊C4×C43C2411yescharacteristic
591C22⋊C4×C43—21no—
592C22⋊C4×C43—21no—
593C22⋊C4×C43—21no—
594C22⋊C4×C43—21no—
595C22⋊C4×C43—21no—
596C22⋊C4×C43—21no—
597C22⋊C4×C43—21no—
598C22⋊C4×C43—21no—
599C22⋊C4×C43—21no—
600C22⋊C4×C43—21no—
601C22⋊C4×C43—21no—
602C22⋊C4×C43—21no—
603C22⋊C4×C43—21no—
604C22⋊C4×C43C2×D411yescharacteristic
605C22⋊C4×C43C2×D411yescharacteristic
606C22⋊C4×C43C2×D411yescharacteristic
607C22⋊C4×C43C2×D411yescharacteristic
608C22⋊C4×C43C2×D411yescharacteristic
609C22⋊C4×C43C2×D411yescharacteristic
610C22⋊C4×C43C2×D411yescharacteristic
611C22⋊C4×C43C2×D411yescharacteristic
612C22⋊C4×C43C2×D411yescharacteristic
613C22⋊C4×C43C2×D411yescharacteristic
614C42×C43—21no—
615C42×C43—21no—
616C42×C43—21no—
617C42×C43—21no—
618C42×C43—21no—
619C42×C43C2×D411yescharacteristic
620C42×C43C2×D411yescharacteristic
621C42×C43C2411yescharacteristic
622C42×C43C2411yescharacteristic
623C42×C43C2411yescharacteristic
624C42×C43C2411yescharacteristic
625C22⋊Dic43—21no—
626C22⋊Dic43—21no—
627C22⋊Dic43—21no—
628#10621885—22no—
629#10621884—22no—
630#10621884—22no—
631#10621884#4114yescomplemented
632#10621883—22no—
633#10621883—41no—
634#10621883—41no—
635#10621882—22no—
636#10621882—22no—
637#10621882—22no—
638#10621882—22no—
639#10621882—22no—
640#10621882—41no—
641#10621882—41no—
642#10621882—41no—
643#10621882—41no—
644(C2×D43)⋊C4—21no—
645(C2×D43)⋊C4—21no—
646(C2×D43)⋊C4—21no—
647(C2×D43)⋊C4—21no—
648(C2×D43)⋊C4—21no—
649(C2×D43)⋊C4—21no—
650(C2×D43)⋊C4—21no—
651(C2×D43)⋊C4—21no—
652(C2×D43)⋊C4—21no—
653(C2×D43)⋊C4—21no—
654(C2×D43)⋊C4—21no—
655(C2×D43)⋊C4—21no—
656(C2×D43)⋊C4—21no—
657(C2×D43)⋊C4—21no—
658(C2×D43)⋊C4—21no—
659(C2×D43)⋊C4—21no—
660C4⋊Dic43—21no—
661C4⋊Dic43—21no—
662C4⋊Dic43—21no—
663C4⋊Dic43C2411yescharacteristic
664C4⋊Dic43C2411yescharacteristic
665C4⋊Dic43C2411yescharacteristic
666C4⋊Dic43C2411yescharacteristic
667Dic43⋊C4—21no—
668Dic43⋊C4—21no—
669Dic43⋊C4—21no—
670Dic43⋊C4—21no—
671Dic43⋊C4—21no—
672Dic43⋊C4—21no—
673Dic43⋊C4—21no—
674Dic43⋊C4—21no—
675C4×Dic43—21no—
676C4×Dic43—21no—
677C4×Dic43—21no—
678#10621877—22no—
679#10621877—22no—
680#10621877—41no—
681#10621877—41no—
682C2×C43⋊C8—22no—
683C2×C43⋊C8—41no—
684C2×C43⋊C8C2411yescharacteristic
685C2×C43⋊C8C2411yescharacteristic
686C2×C43⋊C8C2411yescharacteristic
687C2×C43⋊C8C2411yescharacteristic
688C2×C43⋊C8C2411yescharacteristic
689C2×C43⋊C8C2411yescharacteristic
690C2×C43⋊C8C2411yescharacteristic
691C2×C43⋊C8C2411yescharacteristic
692C23×C43—21no—
693C23×C43—21no—
694C23×C43—21no—
695C23×C43C22×D411yescharacteristic
696C23×C43C22×D411yescharacteristic
697C23×C43C22×D411yescharacteristic
698C22×D43—21no—
699C22×D43—21no—
700C22×D43—21no—
701C22×D43—42no—
702C22×D43—42no—
703C22×D43—42no—
704C22×D43—81no—
705C22×D43—81no—
706C22×D43—81no—
707Q8×C43—21no—
708Q8×C43—41no—
709Q8×C43—42no—
710Q8×C43C2×#4112yes—
711D4×C43—21no—
712D4×C43—21no—
713D4×C43—21no—
714D4×C43—21no—
715D4×C43—21no—
716D4×C43—21no—
717D4×C43—41no—
718D4×C43—41no—
719D4×C43—41no—
720D4×C43—42no—
721D4×C43—42no—
722D4×C43—42no—
723D4×C43—42no—
724D4×C43—81no—
725D4×C43—81no—
726D4×C43—81no—
727D4×C43—81no—
728D4×C43—81no—
729D4×C43—81no—
730D4×C43—81no—
731D4×C43—81no—
732D4×C43—81no—
733D4×C43—81no—
734D4×C43—81no—
735C2×C4×C43—21no—
736C2×C4×C43—21no—
737C2×C4×C43—21no—
738C2×C4×C43—21no—
739C2×C4×C43—21no—
740C2×C4×C43—21no—
741C2×C4×C43—21no—
742C2×C4×C43—21no—
743C2×C4×C43—21no—
744C2×C4×C43—21no—
745C2×C4×C43—21no—
746C2×C4×C43—41no—
747C2×C4×C43—41no—
748C2×C4×C43—42no—
749C2×C4×C43—42no—
750C2×C4×C43—42no—
751C2×C4×C43—42no—
752C2×C4×C43—81no—
753C2×C4×C43—81no—
754C2×C4×C43—81no—
755C2×C4×C43—81no—
756C2×C4×C43—81no—
757C2×C4×C43—81no—
758C2×C4×C43—81no—
759C2×C4×C43C22×D411yescharacteristic
760C2×C4×C43C22×D411yescharacteristic
761C2×C4×C43C22×D411yescharacteristic
762C2×C4×C43C22×D411yescharacteristic
763C2×C4×C43C22×D411yescharacteristic
764C2×C4×C43C22×D411yescharacteristic
765C2×C4×C43C22×D411yescharacteristic
766C2×C4×C43C22×D411yescharacteristic
767C2×C4×C43C22×D411yescharacteristic
768C2×C4×C43C22×D411yescharacteristic
769C2×C4×C43C22×D411yescharacteristic
770C2×C4×C43C2511yescharacteristic
771C22⋊D43—42no—
772C22⋊D43—42no—
773C22⋊D43—81no—
774C22⋊D43—81no—
775C22⋊D43—81no—
776C2×Dic43—21no—
777C2×Dic43—21no—
778C2×Dic43—21no—
779C2×Dic43—21no—
780C2×Dic43—21no—
781C2×Dic43—42no—
782C2×Dic43—81no—
783D172—21no—
784D172—21no—
785D172—21no—
786D172—21no—
787D172—21no—
788D172—42no—
789D172—42no—
790D172—81no—
791D172—81no—
792D172C2×#4112yes—
793C4×D43—42no—
794C4×D43—81no—
795C4×D43—81no—
796C4×D43—81no—
797C4×D43—81no—
798C4×D43—81no—
799C4×D43—81no—
800C4×D43—81no—
801C4×D43—81no—
802Dic86—21no—
803Dic86—21no—
804Dic86—81no—
805C43⋊C8—21no—
806C43⋊C8—21no—
807C43⋊C8—21no—
808C43⋊C8—21no—
809C43⋊C8—21no—
810C43⋊C8—21no—
811C43⋊C8—21no—
812C43⋊C8C2×#4112yes—
813#61507—431nomaximal, Sylow
814C22×C43—21no—
815C22×C43—21no—
816C22×C43—21no—
817C22×C43—21no—
818C22×C43—21no—
819C22×C43—21no—
820C22×C43—21no—
821C22×C43—21no—
822C22×C43—21no—
823C22×C43—41no—
824C22×C43—41no—
825C22×C43—41no—
826C22×C43—41no—
827C22×C43—41no—
828C22×C43—41no—
829C22×C43—41no—
830C22×C43—41no—
831C22×C43—41no—
832C22×C43C23×D411yescharacteristic
833C2×D43—22no—
834C2×D43—41no—
835C2×D43—41no—
836C2×D43—41no—
837C2×D43—41no—
838C2×D43—41no—
839C2×D43—41no—
840C2×D43—41no—
841C2×D43—41no—
842C2×D43—84no—
843C2×D43—162no—
844C4×C43—21no—
845C4×C43—21no—
846C4×C43—21no—
847C4×C43—21no—
848C4×C43—21no—
849C4×C43—21no—
850C4×C43—21no—
851C4×C43—21no—
852C4×C43—21no—
853C4×C43—21no—
854C4×C43—21no—
855C4×C43—22no—
856C4×C43—41no—
857C4×C43—41no—
858C4×C43—41no—
859C4×C43—41no—
860C4×C43C22×#4111yescharacteristic
861C4×C43#58511yescharacteristic
862Dic43—41no—
863Dic43—41no—
864Dic43—41no—
865Dic43—41no—
866Dic43—41no—
867#3517D4311yescharacteristic, complemented
868#3513—431no—
869#3399—431no—
870#3388—431no—
871#3371—431no—
872#3366—431no—
873#3351—431no—
874#3345—431no—
875#3345—431no—
876#3332—431no—
877#3322—431no—
878#3318—431no—
879#3317—431no—
880#3309—431no—
881#3306—431no—
882#3274—431no—
883#3268—431no—
884#3268—431no—
885#3179—431no—
886#3176—431no—
887#3171—431no—
888#3125—431no—
889#3122—431no—
890#3119—431no—
891#3119—431no—
892#3111—431no—
893#3109—431no—
894#2967—431no—
895#2952—431no—
896#2946—431no—
897C4×AGL(1,ℤ/8)—431no—
898C2×C43—41no—
899C2×C43—41no—
900C2×C43—41no—
901C2×C43—81no—
902C2×C43—81no—
903C2×C43—81no—
904C2×C43D4×#4111yescharacteristic
905C2×C43#358511yescharacteristic
906C2×C43#358511yescharacteristic
907D43—42no—
908D43—81no—
909D43—81no—
910C2×AGL(1,ℤ/8)—431no—
911C2×AGL(1,ℤ/8)—431no—
912C2×#135—431no—
913#559—431no—
914#557C2×D4311yescharacteristic, complemented
915#554—431no—
916#553—21no—
917#553—21no—
918#553—431no—
919#553—861no—
920#553C2×D4311yescharacteristic
921#553C2×D4311yescharacteristic, complemented
922#552—431no—
923#551—861no—
924#551—861no—
925#550—21no—
926#550C2×D4311yescharacteristic
927#550C2×D4311yescharacteristic, complemented
928#550C2×D4311yescharacteristic, complemented
929#550C2×D4311yescharacteristic, complemented
930#547—21no—
931#547—431no—
932#547C2×D4311yescharacteristic, complemented
933#546—431no—
934#546—431no—
935#546—861no—
936D42—431no—
937#542—431no—
938#540—21no—
939#540—21no—
940#540—431no—
941#540C2×D4311yescharacteristic, complemented
942#540C2×D4311yescharacteristic, complemented
943#539—861no—
944#538—861no—
945#532—21no—
946#532C2×D4311yescharacteristic, complemented
947#529—21no—
948#529—431no—
949#529C2×D4311yescharacteristic
950#525—861no—
951C2×#123—861no—
952#520—431no—
953#520C2×D4311yescharacteristic, complemented
954#520C2×D4311yescharacteristic, complemented
955#518—431no—
956C4×#41C2×D4311yescharacteristic, complemented
957C2×C4×D4—431no—
958#501—431no—
959#501—431no—
960#499—431no—
961#496—431no—
962#496—431no—
963#493—431no—
964#490—431no—
965#490—431no—
966#490—431no—
967#489—431no—
968#488—431no—
969#486—431no—
970#485—431no—
971#483—431no—
972#482—431no—
973#482—431no—
974#482—431no—
975#481—431no—
976#481—431no—
977#481—431no—
978#481—431no—
979#481—431no—
980#480—431no—
981#480—431no—
982#479—431no—
983#479—431no—
984#479—431no—
985#478—431no—
986#478—431no—
987#478—431no—
988#478—431no—
989#478—431no—
990#476—431no—
991#476—431no—
992#476—431no—
993#475—431no—
994#469—431no—
995#469—431no—
996#469—431no—
997#469—431no—
998#469—431no—
999#468—431no—
1000#468—431no—
1001#468—431no—
1002#466—431no—
1003#466—431no—
1004#466—431no—
1005#465—431no—
1006#464—431no—
1007#464—431no—
1008#463—431no—
1009#463—431no—
1010#460—431no—
1011#460—431no—
1012#459—431no—
1013#459—431no—
1014#459—431no—
1015#459—431no—
1016#459—431no—
1017#459—431no—
1018#452—431no—
1019#452—431no—
1020#449—431no—
1021#449—431no—
1022#449—431no—
1023#449—431no—
1024#449—431no—
1025#449—431no—
1026#447—431no—
1027#447—431no—
1028#447—431no—
1029#447—431no—
1030#446—431no—
1031#446—431no—
1032#442—431no—
1033#442—431no—
1034#442—431no—
1035#442—431no—
1036#442—431no—
1037#442—431no—
1038#442—431no—
1039#442—431no—
1040#442—431no—
1041#441—431no—
1042#441—431no—
1043#440—431no—
1044#440—431no—
1045#440—431no—
1046#440—431no—
1047#440—431no—
1048C4×SD16—431no—
1049C4×SD16—431no—
1050C4×SD16—431no—
1051C4×SD16—431no—
1052C4×SD16—431no—
1053C4×SD16—431no—
1054C4×SD16—431no—
1055C4×D8—431no—
1056C4×D8—431no—
1057C4×D8—431no—
1058C4×D8—431no—
1059C4×D8—431no—
1060#436—431no—
1061#436—431no—
1062#435—431no—
1063#435—431no—
1064#435—431no—
1065#435—431no—
1066#433—431no—
1067#433—431no—
1068#432—431no—
1069#428—431no—
1070#428—431no—
1071C2×#106—431no—
1072#418—431no—
1073#417—431no—
1074#417—431no—
1075#417—431no—
1076#416—431no—
1077C2×#102—431no—
1078#405—431no—
1079#405—431no—
1080C4×M16—431no—
1081C43#6150711yescharacteristic, complemented, Sylow
1082C2×#41—21no—
1083C2×#41—21no—
1084C2×#41—21no—
1085C2×#41—431no—
1086C2×#41—861no—
1087C2×#41C22×D4311yescharacteristic
1088C2×#41C22×D4311yescharacteristic
1089C2×#41C22×D4311yescharacteristic
1090C22×D4—431no—
1091C22×D4—431no—
1092C22×D4—861no—
1093C23×C4—861no—
1094AGL(1,ℤ/8)—864no—
1095AGL(1,ℤ/8)—864no—
1096#135—864no—
1097C2×Q16—431no—
1098C2×SD16—431no—
1099C2×SD16—431no—
1100C2×SD16—431no—
1101C2×SD16—431no—
1102C2×SD16—431no—
1103C2×SD16—431no—
1104C2×D8—431no—
1105C2×D8—431no—
1106C2×D8—431no—
1107C2×D8—431no—
1108C2×D8—431no—
1109C2×D8—431no—
1110C2×D8—431no—
1111C2×D8—431no—
1112C2×D8—431no—
1113C2×M16—431no—
1114C2×M16—431no—
1115C2×M16—431no—
1116C2×M16—431no—
1117C22×C8—431no—
1118C22×C8—431no—
1119C4⋊Q8—21no—
1120C4⋊Q8—431no—
1121C4⋊Q8C22×D4311yescharacteristic
1122#127—21no—
1123#127—21no—
1124#127—21no—
1125#127—431no—
1126#127C22×D4311yescharacteristic
1127#127C22×D4311yescharacteristic
1128#127C22×D4311yescharacteristic
1129#126—21no—
1130#126—21no—
1131#126—861no—
1132#126—861no—
1133#126—861no—
1134#126—861no—
1135#126C22⋊D4311yescharacteristic
1136#126C22⋊D4311yescharacteristic
1137#125—21no—
1138#125—21no—
1139#125—431no—
1140#125—431no—
1141#125—861no—
1142#125C22⋊D4311yescharacteristic
1143#125C22×D4311yescharacteristic
1144#125C22×D4311yescharacteristic
1145#124—21no—
1146#124—431no—
1147#124—431no—
1148#124—861no—
1149#124—861no—
1150#124C22⋊D4311yescharacteristic
1151#123—21no—
1152#123—21no—
1153#123—21no—
1154#123—21no—
1155#123—21no—
1156#123—21no—
1157#123—21no—
1158#123—21no—
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#123C22⋊D4311yescharacteristic
1172#123C22⋊D4311yescharacteristic
1173C22⋊Q8—21no—
1174C22⋊Q8—431no—
1175C22⋊Q8—431no—
1176C22⋊Q8—861no—
1177C22⋊Q8—861no—
1178C22⋊Q8—861no—
1179C22⋊Q8—861no—
1180C22⋊Q8—861no—
1181C22⋊Q8C22⋊D4311yescharacteristic
1182#121—21no—
1183#121—21no—
1184#121—21no—
1185#121—21no—
1186#121—21no—
1187#121—21no—
1188#121—21no—
1189#121—21no—
1190#121—21no—
1191#121—21no—
1192#121—21no—
1193#121—21no—
1194#121—21no—
1195#121—21no—
1196#121—21no—
1197#121—21no—
1198#121—431no—
1199#121—431no—
1200#121—431no—
1201#121—431no—
1202#121—861no—
1203#121—861no—
1204#121—861no—
1205#121—861no—
1206#121—861no—
1207#121—861no—
1208#121C22⋊D4311yescharacteristic
1209#121C22×D4311yescharacteristic
1210#121C22×D4311yescharacteristic
1211#121C22×D4311yescharacteristic
1212#121C22×D4311yescharacteristic
1213#121C22×D4311yescharacteristic
1214#121C22×D4311yescharacteristic
1215#120—861no—
1216#120—861no—
1217#120—861no—
1218#120—861no—
1219C4×Q8—21no—
1220C4×Q8—431no—
1221C4×Q8—431no—
1222C4×Q8C22×D4311yescharacteristic
1223C4×Q8C22×D4311yescharacteristic
1224C4×Q8C22×D4311yescharacteristic
1225C4×Q8C22×D4311yescharacteristic
1226C4×Q8C22×D4311yescharacteristic
1227C4×D4—21no—
1228C4×D4—21no—
1229C4×D4—21no—
1230C4×D4—21no—
1231C4×D4—21no—
1232C4×D4—21no—
1233C4×D4—21no—
1234C4×D4—21no—
1235C4×D4—21no—
1236C4×D4—21no—
1237C4×D4—21no—
1238C4×D4—21no—
1239C4×D4—431no—
1240C4×D4—431no—
1241C4×D4—431no—
1242C4×D4—431no—
1243C4×D4—431no—
1244C4×D4—431no—
1245C4×D4—431no—
1246C4×D4—431no—
1247C4×D4—861no—
1248C4×D4—861no—
1249C4×D4—861no—
1250C4×D4—861no—
1251C4×D4—861no—
1252C4×D4—861no—
1253C4×D4—861no—
1254C4×D4—861no—
1255C4×D4—861no—
1256C4×D4C22×D4311yescharacteristic
1257C4×D4C22×D4311yescharacteristic
1258C4×D4C22×D4311yescharacteristic
1259C4×D4C22×D4311yescharacteristic
1260C4×D4C22×D4311yescharacteristic
1261C4×D4C22×D4311yescharacteristic
1262C4×D4C22×D4311yescharacteristic
1263C4×D4C22×D4311yescharacteristic
1264C4×D4C22×D4311yescharacteristic
1265#117—21no—
1266#117—21no—
1267#117—21no—
1268#117—431no—
1269#117—861no—
1270#117—861no—
1271#117—861no—
1272#117C22×D4311yescharacteristic
1273#117C22×D4311yescharacteristic
1274#117C22×D4311yescharacteristic
1275C2×C4⋊C4—21no—
1276C2×C4⋊C4—21no—
1277C2×C4⋊C4—431no—
1278C2×C4⋊C4—431no—
1279C2×C4⋊C4—861no—
1280C2×C4⋊C4—861no—
1281C2×C4⋊C4C22×D4311yescharacteristic
1282C2×C4⋊C4C22×D4311yescharacteristic
1283C2×C22⋊C4—861no—
1284C2×C22⋊C4—861no—
1285C2×C22⋊C4—861no—
1286C2×C22⋊C4—861no—
1287C2×C22⋊C4—861no—
1288C2×C42—21no—
1289C2×C42C22×D4311yescharacteristic
1290#107—431no—
1291#107—431no—
1292#107—431no—
1293#107—431no—
1294#107—431no—
1295#107—431no—
1296#106—431no—
1297#106—431no—
1298#106—431no—
1299#106—431no—
1300#106—431no—
1301#106—431no—
1302#106—431no—
1303#106—431no—
1304#106—431no—
1305#106—431no—
1306C4⋊C8—431no—
1307C4⋊C8—431no—
1308C4⋊C8—431no—
1309C4⋊C8—431no—
1310C4⋊C8—431no—
1311C4⋊C8—431no—
1312#103—431no—
1313#103—431no—
1314#103—431no—
1315#103—431no—
1316#103—431no—
1317#103—431no—
1318#103—431no—
1319#103—431no—
1320#102—431no—
1321#102—431no—
1322#102—431no—
1323#102—431no—
1324#102—431no—
1325#102—431no—
1326#102—431no—
1327#102—431no—
1328#102—431no—
1329#102—431no—
1330#102—431no—
1331#102—431no—
1332#102—431no—
1333#102—431no—
1334#102—431no—
1335#102—431no—
1336#102—431no—
1337#102—431no—
1338#102—431no—
1339#102—431no—
1340#102—431no—
1341#102—431no—
1342#102—431no—
1343#102—431no—
1344C22⋊C8—431no—
1345C22⋊C8—431no—
1346C22⋊C8—431no—
1347C22⋊C8—431no—
1348C22⋊C8—431no—
1349C22⋊C8—431no—
1350#97—431no—
1351#97—431no—
1352#97—431no—
1353#97—431no—
1354#97—431no—
1355#97—431no—
1356C4×C8—431no—
1357C4×C8—431no—
1358C4×C8—431no—
1359C4×C8—431no—
1360C24—861no—
1361C24—861no—
1362#41—22no—
1363#41—22no—
1364#41—22no—
1365#41—41no—
1366#41—41no—
1367#41—41no—
1368#41—82no—
1369#41—82no—
1370#41—82no—
1371#41—862no—
1372#41—3442no—
1373#41—1721no—
1374C2×Q8—21no—
1375C2×Q8—431no—
1376C2×Q8—861no—
1377C2×Q8C2×C22⋊D4311yescharacteristic
1378C2×Q8C23×D4311yescharacteristic
1379C2×D4—21no—
1380C2×D4—21no—
1381C2×D4—21no—
1382C2×D4—21no—
1383C2×D4—21no—
1384C2×D4—21no—
1385C2×D4—21no—
1386C2×D4—21no—
1387C2×D4—21no—
1388C2×D4—21no—
1389C2×D4—21no—
1390C2×D4—21no—
1391C2×D4—21no—
1392C2×D4—21no—
1393C2×D4—21no—
1394C2×D4—431no—
1395C2×D4—431no—
1396C2×D4—431no—
1397C2×D4—862no—
1398C2×D4—862no—
1399C2×D4—861no—
1400C2×D4—861no—
1401C2×D4—861no—
1402C2×D4—861no—
1403C2×D4—861no—
1404C2×D4—861no—
1405C2×D4—861no—
1406C2×D4—861no—
1407C2×D4—861no—
1408C2×D4—3442no—
1409C2×D4—1721no—
1410C2×D4—1721no—
1411C2×D4C2×C22⋊D4311yescharacteristic
1412C2×D4C2×C22⋊D4311yescharacteristic
1413C2×D4C2×C22⋊D4311yescharacteristic
1414C2×D4C23×D4311yescharacteristic
1415C2×D4C23×D4311yescharacteristic
1416C2×D4C23×D4311yescharacteristic
1417C22×C4—21no—
1418C22×C4—21no—
1419C22×C4—21no—
1420C22×C4—21no—
1421C22×C4—21no—
1422C22×C4—21no—
1423C22×C4—21no—
1424C22×C4—21no—
1425C22×C4—21no—
1426C22×C4—21no—
1427C22×C4—21no—
1428C22×C4—861no—
1429C22×C4—861no—
1430C22×C4—861no—
1431C22×C4—861no—
1432C22×C4—861no—
1433C22×C4—861no—
1434C22×C4—861no—
1435C22×C4—861no—
1436C22×C4—861no—
1437C22×C4—861no—
1438C22×C4—861no—
1439C22×C4—3442no—
1440C22×C4C2×C22⋊D4311yescharacteristic
1441C22×C4C2×C22⋊D4311yescharacteristic
1442C22×C4C23×D4311yescharacteristic
1443C22×C4C23×D4311yescharacteristic
1444C22×C4C23×D4311yescharacteristic
1445Q16—862no—
1446SD16—434no—
1447SD16—862no—
1448SD16—862no—
1449SD16—862no—
1450SD16—1721no—
1451SD16—1721no—
1452D8—862no—
1453D8—862no—
1454D8—862no—
1455D8—862no—
1456D8—862no—
1457D8—1721no—
1458D8—1721no—
1459D8—1721no—
1460D8—1721no—
1461M16—862no—
1462M16—862no—
1463M16—1721no—
1464M16—1721no—
1465C2×C8—431no—
1466C2×C8—431no—
1467C2×C8—431no—
1468C2×C8—431no—
1469C2×C8—431no—
1470C2×C8—431no—
1471C2×C8—431no—
1472C2×C8—431no—
1473C2×C8—862no—
1474C2×C8—1721no—
1475C4⋊C4—21no—
1476C4⋊C4—21no—
1477C4⋊C4—21no—
1478C4⋊C4—21no—
1479C4⋊C4—21no—
1480C4⋊C4—21no—
1481C4⋊C4—21no—
1482C4⋊C4—21no—
1483C4⋊C4—21no—
1484C4⋊C4—21no—
1485C4⋊C4—21no—
1486C4⋊C4—431no—
1487C4⋊C4—431no—
1488C4⋊C4—431no—
1489C4⋊C4—431no—
1490C4⋊C4—861no—
1491C4⋊C4—861no—
1492C4⋊C4—861no—
1493C4⋊C4—861no—
1494C4⋊C4—861no—
1495C4⋊C4—861no—
1496C4⋊C4—861no—
1497C4⋊C4—861no—
1498C4⋊C4—861no—
1499C4⋊C4—861no—
1500C4⋊C4—861no—
1501C4⋊C4C2×C22⋊D4311yescharacteristic
1502C4⋊C4C2×C22⋊D4311yescharacteristic
1503C4⋊C4C2×C22⋊D4311yescharacteristic
1504C4⋊C4C2×C22⋊D4311yescharacteristic
1505C4⋊C4C2×C22⋊D4311yescharacteristic
1506C4⋊C4C2×C22⋊D4311yescharacteristic
1507C4⋊C4C2×C22⋊D4311yescharacteristic
1508C4⋊C4C2×C22⋊D4311yescharacteristic
1509C4⋊C4C2×C22⋊D4311yescharacteristic
1510C4⋊C4C2×C22⋊D4311yescharacteristic
1511C4⋊C4C23×D4311yescharacteristic
1512C4⋊C4C23×D4311yescharacteristic
1513C4⋊C4C23×D4311yescharacteristic
1514C4⋊C4C23×D4311yescharacteristic
1515C22⋊C4—21no—
1516C22⋊C4—21no—
1517C22⋊C4—21no—
1518C22⋊C4—21no—
1519C22⋊C4—21no—
1520C22⋊C4—21no—
1521C22⋊C4—21no—
1522C22⋊C4—21no—
1523C22⋊C4—21no—
1524C22⋊C4—21no—
1525C22⋊C4—21no—
1526C22⋊C4—21no—
1527C22⋊C4—21no—
1528C22⋊C4—861no—
1529C22⋊C4—861no—
1530C22⋊C4—861no—
1531C22⋊C4—861no—
1532C22⋊C4—861no—
1533C22⋊C4—861no—
1534C22⋊C4—861no—
1535C22⋊C4—861no—
1536C22⋊C4—861no—
1537C22⋊C4—861no—
1538C22⋊C4—861no—
1539C22⋊C4—861no—
1540C22⋊C4—861no—
1541C22⋊C4—861no—
1542C22⋊C4—861no—
1543C22⋊C4—861no—
1544C22⋊C4—861no—
1545C22⋊C4—861no—
1546C22⋊C4—861no—
1547C22⋊C4C2×C22⋊D4311yescharacteristic
1548C22⋊C4C2×C22⋊D4311yescharacteristic
1549C22⋊C4C2×C22⋊D4311yescharacteristic
1550C22⋊C4C2×C22⋊D4311yescharacteristic
1551C22⋊C4C2×C22⋊D4311yescharacteristic
1552C22⋊C4C2×C22⋊D4311yescharacteristic
1553C22⋊C4C2×C22⋊D4311yescharacteristic
1554C22⋊C4C2×C22⋊D4311yescharacteristic
1555C22⋊C4C2×C22⋊D4311yescharacteristic
1556C22⋊C4C2×C22⋊D4311yescharacteristic
1557C42—21no—
1558C42—21no—
1559C42—21no—
1560C42—21no—
1561C42—21no—
1562C42—861no—
1563C42—861no—
1564C42—861no—
1565C42C2×C22⋊D4311yescharacteristic
1566C42C2×C22⋊D4311yescharacteristic
1567C42C23×D4311yescharacteristic
1568C42C23×D4311yescharacteristic
1569C42C23×D4311yescharacteristic
1570C42C23×D4311yescharacteristic
1571C23—21no—
1572C23—21no—
1573C23—21no—
1574C23—861no—
1575C23—861no—
1576C23—861no—
1577C23—3441no—
1578C23—3441no—
1579C23—3441no—
1580C23—1722no—
1581C23—1722no—
1582C23—1722no—
1583C23C22×C22⋊D4311yescharacteristic
1584C23C22×C22⋊D4311yescharacteristic
1585C23C22×C22⋊D4311yescharacteristic
1586Q8—21no—
1587Q8—41no—
1588Q8—42no—
1589Q8—861no—
1590Q8—861no—
1591Q8—3441no—
1592Q8#41×D4312yes—
1593D4—21no—
1594D4—21no—
1595D4—21no—
1596D4—21no—
1597D4—21no—
1598D4—21no—
1599D4—41no—
1600D4—41no—
1601D4—41no—
1602D4—42no—
1603D4—42no—
1604D4—42no—
1605D4—42no—
1606D4—81no—
1607D4—81no—
1608D4—81no—
1609D4—81no—
1610D4—81no—
1611D4—81no—
1612D4—81no—
1613D4—81no—
1614D4—81no—
1615D4—81no—
1616D4—81no—
1617D4—432no—
1618D4—861no—
1619D4—861no—
1620D4—861no—
1621D4—861no—
1622D4—861no—
1623D4—3441no—
1624D4—3441no—
1625D4—3441no—
1626D4—3441no—
1627D4—3441no—
1628D4—1722no—
1629D4—1722no—
1630D4—1722no—
1631D4—1722no—
1632C2×C4—21no—
1633C2×C4—21no—
1634C2×C4—21no—
1635C2×C4—21no—
1636C2×C4—21no—
1637C2×C4—21no—
1638C2×C4—21no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—21no—
1642C2×C4—21no—
1643C2×C4—41no—
1644C2×C4—41no—
1645C2×C4—42no—
1646C2×C4—42no—
1647C2×C4—42no—
1648C2×C4—42no—
1649C2×C4—81no—
1650C2×C4—81no—
1651C2×C4—81no—
1652C2×C4—81no—
1653C2×C4—81no—
1654C2×C4—81no—
1655C2×C4—81no—
1656C2×C4—861no—
1657C2×C4—861no—
1658C2×C4—861no—
1659C2×C4—861no—
1660C2×C4—861no—
1661C2×C4—3441no—
1662C2×C4—3441no—
1663C2×C4—3441no—
1664C2×C4—3441no—
1665C2×C4—3441no—
1666C2×C4—3441no—
1667C2×C4—3441no—
1668C2×C4—3441no—
1669C2×C4—3441no—
1670C2×C4—1722no—
1671C2×C4—1722no—
1672C2×C4C22×C22⋊D4311yescharacteristic
1673C2×C4C22×C22⋊D4311yescharacteristic
1674C2×C4C22×C22⋊D4311yescharacteristic
1675C2×C4C22×C22⋊D4311yescharacteristic
1676C2×C4C22×C22⋊D4311yescharacteristic
1677C2×C4C22×C22⋊D4311yescharacteristic
1678C2×C4C22×C22⋊D4311yescharacteristic
1679C2×C4C22×C22⋊D4311yescharacteristic
1680C2×C4C22×C22⋊D4311yescharacteristic
1681C2×C4C22×C22⋊D4311yescharacteristic
1682C2×C4C22×C22⋊D4311yescharacteristic
1683C2×C4C24×D4311yescharacteristic
1684C8—432no—
1685C8—861no—
1686C8—861no—
1687C8—861no—
1688C8—861no—
1689C8—861no—
1690C8—861no—
1691C8—861no—
1692C22—21no—
1693C22—21no—
1694C22—21no—
1695C22—21no—
1696C22—21no—
1697C22—21no—
1698C22—21no—
1699C22—21no—
1700C22—21no—
1701C22—41no—
1702C22—41no—
1703C22—41no—
1704C22—41no—
1705C22—41no—
1706C22—41no—
1707C22—41no—
1708C22—41no—
1709C22—41no—
1710C22—862no—
1711C22—3444no—
1712C22—1721no—
1713C22—1721no—
1714C22—1721no—
1715C22—1721no—
1716C22—1721no—
1717C22—1721no—
1718C22—1721no—
1719C22—1721no—
1720C22—6882no—
1721C22C23×C22⋊D4311yescharacteristic
1722C4—21no—
1723C4—21no—
1724C4—21no—
1725C4—22no—
1726C4—21no—
1727C4—21no—
1728C4—21no—
1729C4—21no—
1730C4—21no—
1731C4—21no—
1732C4—21no—
1733C4—21no—
1734C4—41no—
1735C4—41no—
1736C4—41no—
1737C4—41no—
1738C4—1721no—
1739C4—1721no—
1740C4—1721no—
1741C4—1721no—
1742C4—1721no—
1743C4C2×#41×D4311yescharacteristic
1744C4#1458373511yescharacteristic
1745C2—41no—
1746C2—41no—
1747C2—41no—
1748C2—81no—
1749C2—81no—
1750C2—81no—
1751C2—3441no—
1752C2—3441no—
1753C2—1722no—
1754C2#41×C22⋊D4311yescharacteristic
1755C2#1914937411yescharacteristic
1756C2#1914937511yescharacteristic
subgroupG/H
centerC22C23×C22⋊D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3517C2
socleC22×C43C23×D4
hypercenter#3517D43
hypocenterC43#61507
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ #529 ◁ #3517

Complements

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

NH ≅ G/Ntype
1. #19148539C2semidirect
2. #19147637C2semidirect
3. #19147534C2semidirect
4. #19147363C2semidirect
5. #19147298C2semidirect
6. #19147149C2semidirect
7. #19147065C2semidirect
8. #19147059C2semidirect
9. #19146922C2semidirect
10. #19146790C2semidirect
11. #19146730C2semidirect
12. #19146721C2semidirect
13. #19146601C2semidirect
14. #19146550C2semidirect
15. #19146215C2semidirect
16. #19146136C2semidirect
17. #19146136C2semidirect
18. #19145280C2semidirect
19. #19145239C2semidirect
20. #19145184C2semidirect
21. #19144872C2semidirect
22. #19144833C2semidirect
23. #19144794C2semidirect
24. #19144788C2semidirect
25. #19144704C2semidirect
26. #19144682C2semidirect
27. #19143582C2semidirect
28. #19143476C2semidirect
29. #19143423C2semidirect
30. C4×#13063350C2semidirect
31. C43×#3517C2semidirect
57. #14583309C22semidirect
58. #14583305C22semidirect
59. #14583298C22semidirect
60. #14583286C22semidirect
61. #14583286C22semidirect
64. #14583263C22semidirect
65. #14583263C22semidirect
66. #14583261C22semidirect
67. #14583256C22semidirect
68. #14583245C22semidirect
69. #14583240C22semidirect
70. #14583229C22semidirect
72. #14583220C22semidirect
73. #14583220C22semidirect
75. #14583217C22semidirect
76. #14583215C22semidirect
77. #14583215C22semidirect
78. #14583215C22semidirect
79. #14583212C22semidirect
80. #14583210C22semidirect
81. #14583206C22semidirect
82. #14583206C22semidirect
83. #14583203C22semidirect
84. #14583199C22semidirect
85. #14583199C22semidirect
88. #14583196C22semidirect
89. #14583189C22semidirect
91. #14583186C22semidirect
92. #14583184C22semidirect
96. #14583150C22semidirect
97. #14583150C22semidirect
98. #14583143C22semidirect
99. #14583143C22semidirect
100. #14583143C22semidirect
102. #14583133C22semidirect
103. #14583133C22semidirect
104. #14583126C22semidirect
105. #14583121C22semidirect
106. #14583121C22semidirect
107. #14583114C22semidirect
108. #14583114C22semidirect
110. #14583096C22semidirect
115. #14583091C22semidirect
116. #14583091C22semidirect
117. #14583061C22semidirect
118. #14583061C22semidirect
121. #14583044C22semidirect
122. #14583044C22semidirect
129. #14583030C22semidirect
130. #14583030C22semidirect
135. #14583009C22semidirect
136. #14583009C22semidirect
137. #14583009C22semidirect
138. #14583009C22semidirect
139. #14583009C22semidirect
140. #14583004C22semidirect
141. #14583004C22semidirect
142. #14582999C22semidirect
145. #14582997C22semidirect
146. #14582997C22semidirect
149. C4×#10621884C22semidirect
150. C4×#10621884C22semidirect
151. C4×#10621883C22semidirect
152. C4×#10621883C22semidirect
153. C4×#10621883C22semidirect
156. C4×#10621882C22semidirect
157. C4×#10621882C22semidirect
158. C4×#10621882C22semidirect
160. #14582977C22semidirect
162. #14582971C22semidirect
163. #14582971C22semidirect
164. #14582971C22semidirect
165. #14582960C22semidirect
166. #14582960C22semidirect
167. #14582956C22semidirect
168. #14582942C22semidirect
169. #14582939C22semidirect
170. C2×#13063256C22semidirect
172. #14582900C22semidirect
173. #14582900C22semidirect
175. #14582895C22semidirect
177. #14582855C22semidirect
178. #14582855C22semidirect
179. C4×#10621877C22semidirect
180. C43×#557C22semidirect
184. C43×#553C22semidirect
187. C43×#550C22semidirect
188. C43×#550C22semidirect
189. C43×#550C22semidirect
191. C43×#547C22semidirect
194. C43×#540C22semidirect
195. C43×#540C22semidirect
197. C43×#532C22semidirect
200. C43×#520C22semidirect
201. C43×#520C22semidirect
202. C4×#41×C43C22semidirect
631. #10621884#41semidirect
867. #3517D43semidirect
914. #557C2×D43semidirect
921. #553C2×D43semidirect
927. #550C2×D43semidirect
928. #550C2×D43semidirect
929. #550C2×D43semidirect
932. #547C2×D43semidirect
941. #540C2×D43semidirect
942. #540C2×D43semidirect
946. #532C2×D43semidirect
953. #520C2×D43semidirect
954. #520C2×D43semidirect
956. C4×#41C2×D43semidirect
1081. C43#61507semidirect

Maximal subgroups

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

subgroupindex
#191485392
#191476372
#191475342
#191473632
#191472982
#191471492
#191470652
#191470592
#191469222
#191467902
#191467302
#191467212
#191466012
#191465502
#191462152
#191461362
#191452802
#191452392
#191451842
#191448722
#191448332
#191447942
#191447882
#191447042
#191446822
#191435822
#191434762
#191434232
C4×#130633502
C43×#35172
#6150743