Finite Group Databasebeta

← #25979777

Subgroups — #25979777

Order 11008.

1896 conjugacy classes of subgroups.

The subgroup lattice has 1762 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19148667C211yesmaximal, characteristic, complemented
2#19147611C211yesmaximal, characteristic, complemented
3#19147549C211yesmaximal, characteristic, complemented
4#19147422C211yesmaximal, characteristic, complemented
5#19147298C211yesmaximal, characteristic, complemented
6#19147195C211yesmaximal, characteristic, complemented
7#19147134C211yesmaximal, characteristic, complemented
8#19147110C211yesmaximal, characteristic, complemented
9#19146826C211yesmaximal, characteristic, complemented
10#19146790C211yesmaximal, characteristic, complemented
11#19146745C211yesmaximal, characteristic, complemented
12#19146736C211yesmaximal, characteristic, complemented
13#19146616C211yesmaximal, characteristic, complemented
14#19146565C211yesmaximal, characteristic, complemented
15#19146191C211yesmaximal, characteristic, complemented
16#19146071C211yesmaximal, characteristic, complemented
17#19146071C211yesmaximal, characteristic, complemented
18#19145280C211yesmaximal, characteristic, complemented
19#19145217C211yesmaximal, characteristic, complemented
20#19145184C211yesmaximal, characteristic, complemented
21#19144847C211yesmaximal, characteristic, complemented
22#19144833C211yesmaximal, characteristic, complemented
23#19144788C211yesmaximal, characteristic, complemented
24#19144779C211yesmaximal, characteristic, complemented
25#19144740C211yesmaximal, characteristic, complemented
26#19144733C211yesmaximal, characteristic, complemented
27#19143582C211yesmaximal, characteristic, complemented
28#19143445C211yesmaximal, characteristic, complemented
29#19143427C211yesmaximal, characteristic, complemented
30C4×#13063351C211yesmaximal, characteristic, complemented
31C43×#3519C211yesmaximal, characteristic, complemented
32C2×#13063351C2211yescharacteristic
33C2×#13063351C2211yescharacteristic
34C22×#10621882C2211yescharacteristic
35#14583622C2211yescharacteristic, complemented
36#14583619C2211yescharacteristic, complemented
37#14583609C2211yescharacteristic, complemented
38#14583595C2211yescharacteristic, complemented
39#14583594—21no—
40#14583589C2211yescharacteristic, complemented
41#14583581—21no—
42#14583579—21no—
43#14583577—21no—
44#14583554C2211yescharacteristic, complemented
45#14583545C2211yescharacteristic, complemented
46#14583545C2211yescharacteristic, complemented
47#14583520C2211yescharacteristic, complemented
48#14583511C2211yescharacteristic, complemented
49#14583495—21no—
50#14583481—21no—
51#14583433C2211yescharacteristic, complemented
52#14583432—21no—
53#126×D43—21no—
54#14583379C2211yescharacteristic, complemented
55#14583373C2211yescharacteristic, complemented
56C4×#10621898C2211yescharacteristic, complemented
57#14583309C2211yescharacteristic, complemented
58#14583305C2211yescharacteristic, complemented
59#14583298C2211yescharacteristic, complemented
60#14583286C2211yescharacteristic, complemented
61#14583286C2211yescharacteristic, complemented
62#14583271C2211yescharacteristic, complemented
63#14583269C2211yescharacteristic, complemented
64#14583263C2211yescharacteristic, complemented
65#14583263C2211yescharacteristic, complemented
66#14583261C2211yescharacteristic, complemented
67#14583256C2211yescharacteristic, complemented
68#14583245C2211yescharacteristic, complemented
69#14583240C2211yescharacteristic, complemented
70#14583240C2211yescharacteristic, complemented
71#14583240C2211yescharacteristic, complemented
72#14583229C2211yescharacteristic, complemented
73#14583223C2211yescharacteristic, complemented
74#14583220C2211yescharacteristic, complemented
75#14583220C2211yescharacteristic, complemented
76#14583220C2211yescharacteristic, complemented
77#14583220C2211yescharacteristic, complemented
78#14583215C2211yescharacteristic, complemented
79#14583212C2211yescharacteristic, complemented
80#14583210C2211yescharacteristic, complemented
81#14583203C2211yescharacteristic, complemented
82#14583199C2211yescharacteristic, complemented
83#14583199C2211yescharacteristic, complemented
84#14583199C2211yescharacteristic, complemented
85#14583199C2211yescharacteristic, complemented
86#14583196C2211yescharacteristic, complemented
87#14583196C2211yescharacteristic, complemented
88#14583196C2211yescharacteristic, complemented
89#14583189C2211yescharacteristic, complemented
90#14583181C2211yescharacteristic, complemented
91#14583179C2211yescharacteristic, complemented
92#14583176C2211yescharacteristic, complemented
93#14583150C2211yescharacteristic, complemented
94#14583150C2211yescharacteristic, complemented
95#14583150C2211yescharacteristic, complemented
96#14583143C2211yescharacteristic, complemented
97#14583143C2211yescharacteristic, complemented
98#14583143C2211yescharacteristic, complemented
99#14583143C2211yescharacteristic, complemented
100#14583143C2211yescharacteristic, complemented
101#14583133C2211yescharacteristic, complemented
102#14583126C2211yescharacteristic, complemented
103#14583126C2211yescharacteristic, complemented
104#14583126C2211yescharacteristic, complemented
105#14583114C2211yescharacteristic
106#14583114C2211yescharacteristic
107#14583114C2211yescharacteristic, complemented
108#14583114C2211yescharacteristic, complemented
109#14583104C2211yescharacteristic, complemented
110#14583104C2211yescharacteristic, complemented
111#14583096C2211yescharacteristic, complemented
112#14583096C2211yescharacteristic, complemented
113#14583091C2211yescharacteristic, complemented
114#14583091C2211yescharacteristic, complemented
115#14583091C2211yescharacteristic, complemented
116#14583091C2211yescharacteristic, complemented
117#14583050C2211yescharacteristic
118#14583050C2211yescharacteristic
119#14583050C2211yescharacteristic, complemented
120#14583050C2211yescharacteristic, complemented
121#14583042C2211yescharacteristic, complemented
122#14583042C2211yescharacteristic, complemented
123#14583042C2211yescharacteristic, complemented
124#14583042C2211yescharacteristic, complemented
125#14583033C2211yescharacteristic
126#14583033C2211yescharacteristic
127#14583032C2211yescharacteristic, complemented
128#14583032C2211yescharacteristic, complemented
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#14582999C2211yescharacteristic, complemented
141#14582999C2211yescharacteristic, complemented
142#14582999C2211yescharacteristic, complemented
143#14582999C2211yescharacteristic, complemented
144#14582999C2211yescharacteristic, complemented
145#14582999C2211yescharacteristic, complemented
146#14582999C2211yescharacteristic, complemented
147C4×#10621883C2211yescharacteristic, complemented
148C4×#10621883C2211yescharacteristic, complemented
149C4×#10621883C2211yescharacteristic, complemented
150C4×#10621883C2211yescharacteristic, complemented
151C4×#10621883C2211yescharacteristic, complemented
152C4×#10621882C2211yescharacteristic
153C4×#10621882C2211yescharacteristic
154C4×#10621882C2211yescharacteristic, complemented
155C4×#10621882C2211yescharacteristic, complemented
156C4×#10621882C2211yescharacteristic, complemented
157C4×#10621882C2211yescharacteristic, complemented
158C4×#10621882C2211yescharacteristic, complemented
159#14582977C2211yescharacteristic, complemented
160#14582977C2211yescharacteristic, complemented
161#14582971C2211yescharacteristic, complemented
162#14582971C2211yescharacteristic, complemented
163#14582971C2211yescharacteristic, complemented
164#14582971C2211yescharacteristic, complemented
165#14582960C2211yescharacteristic, complemented
166#14582960C2211yescharacteristic, complemented
167#14582956C2211yescharacteristic, complemented
168#14582942C2211yescharacteristic, complemented
169#14582939C2211yescharacteristic, complemented
170#14582935C2211yescharacteristic, complemented
171#14582904C2211yescharacteristic
172#14582904C2211yescharacteristic, complemented
173#14582903C2211yescharacteristic, complemented
174#14582898C2211yescharacteristic, complemented
175#14582893C2211yescharacteristic, complemented
176C2×#13063246C2211yescharacteristic, complemented
177#14582855C2211yescharacteristic, complemented
178#14582855C2211yescharacteristic, complemented
179C4×#10621877C2211yescharacteristic, complemented
180C43×#555C2211yescharacteristic
181C43×#554C2211yescharacteristic, complemented
182C43×#553—21no—
183C43×#553C2211yescharacteristic
184C43×#553C2211yescharacteristic, complemented
185C43×#550C2211yescharacteristic, complemented
186C43×#546—21no—
187C43×#546—21no—
188C43×#546—21no—
189D42×C43C2211yescharacteristic
190D42×C43C2211yescharacteristic
191D42×C43C2211yescharacteristic, complemented
192C43×#540C2211yescharacteristic
193C43×#540C2211yescharacteristic, complemented
194C43×#538—21no—
195C43×#538—21no—
196C43×#532C2211yescharacteristic, complemented
197C43×#529C2211yescharacteristic
198C43×#525—21no—
199C2×#121×C43—21no—
200C43×#518C2211yescharacteristic
201C43×#518C2211yescharacteristic, complemented
202C2×C4×D4×C43C2211yescharacteristic, complemented
203C2×#10621898C2311yescharacteristic
204C2×#10621898C2311yescharacteristic
205C22×D172C2311yescharacteristic
206#13063351—24no—
207#13063351—24no—
208C2×#10621883C2311yescharacteristic
209C2×#10621883C2311yescharacteristic
210C2×#10621883C2311yescharacteristic
211C2×#10621883C2311yescharacteristic
212C2×#10621883C2311yescharacteristic
213C2×#10621883C2311yescharacteristic
214C2×#10621883C2311yescharacteristic
215C2×#10621883C2311yescharacteristic
216C2×#10621882—24no—
217C2×#10621882C2311yescharacteristic
218C2×#10621882C2311yescharacteristic
219C2×#10621882C2311yescharacteristic
220C2×#10621882C2311yescharacteristic
221C2×#10621882C2311yescharacteristic
222C2×#10621882C2311yescharacteristic
223C2×#10621882C2311yescharacteristic
224C2×#10621882C2311yescharacteristic
225C2×#10621877C2311yescharacteristic
226C2×#10621877C2311yescharacteristic
227C2×#10621877C2311yescharacteristic
228C2×#10621877C2311yescharacteristic
229C22×C43⋊C8C2311yescharacteristic
230C22×C43⋊C8C2311yescharacteristic
231#13063325C2311yescharacteristic
232#13063325C2311yescharacteristic
233#13063320—21no—
234#13063320—21no—
235#13063320—21no—
236#13063320—21no—
237#13063319—21no—
238#13063318—21no—
239#13063318—21no—
240#13063318—21no—
241#13063318—21no—
242#13063318—21no—
243#13063317C2311yescharacteristic
244#13063317C2311yescharacteristic
245#13063315—21no—
246#13063315—21no—
247#13063315—21no—
248#13063313C2311yescharacteristic
249#13063313C2311yescharacteristic
250#13063312—21no—
251#13063311—21no—
252#13063310—21no—
253#13063310—21no—
254#13063308—21no—
255#13063307—21no—
256#13063307—21no—
257#13063307—21no—
258#13063307—21no—
259#13063306—21no—
260#13063304C2311yescharacteristic
261#13063304C2311yescharacteristic
262#13063304C2311yescharacteristic
263#13063304C2311yescharacteristic
264#13063303—21no—
265#13063303—21no—
266#13063303—21no—
267#13063301—21no—
268#13063301—21no—
269#13063299C2311yescharacteristic
270#13063299C2311yescharacteristic
271#13063298—21no—
272#13063298—21no—
273#13063297—21no—
274#13063296—21no—
275#13063293—21no—
276#13063293—21no—
277C4×Dic86C2311yescharacteristic
278C4×Dic86C2311yescharacteristic
279C4×Dic86C2311yescharacteristic
280C4×Dic86C2311yescharacteristic
281#13063290—21no—
282C4×D172C2311yescharacteristic
283C4×D172C2311yescharacteristic
284C4×D172C2311yescharacteristic
285C4×D172C2311yescharacteristic
286C4×D172C2311yescharacteristic
287C4×D172C2311yescharacteristic
288#13063287—21no—
289#13063287—21no—
290C4×C22⋊D43—21no—
291C4×C22⋊D43—21no—
292C4×C22⋊D43—21no—
293(C22⋊D43)⋊C4—21no—
294(C22⋊D43)⋊C4—21no—
295(C22⋊D43)⋊C4—21no—
296#13063284C2311yescharacteristic
297#13063284C2311yescharacteristic
298#13063283—21no—
299#13063283—21no—
300#13063282—21no—
301#13063282—21no—
302#13063281—21no—
303C2×C4⋊Dic43C2311yescharacteristic
304C4⋊C4×D43—21no—
305C4⋊C4×D43—21no—
306C4⋊C4×D43—21no—
307C22⋊C4×D43—21no—
308C22⋊C4×D43—21no—
309C22⋊C4×D43—21no—
310C22⋊C4×D43—21no—
311C42×D43—21no—
312#13063258C2311yescharacteristic
313#13063258C2311yescharacteristic
314#13063258C2311yescharacteristic
315#13063258C2311yescharacteristic
316#13063258C2311yescharacteristic
317#13063258C2311yescharacteristic
318#13063258C2311yescharacteristic
319#13063258C2311yescharacteristic
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#13063248C2311yescharacteristic
335#13063248C2311yescharacteristic
336#13063248C2311yescharacteristic
337#13063248C2311yescharacteristic
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#13063246C2311yescharacteristic
355#13063246C2311yescharacteristic
356#13063246C2311yescharacteristic
357#13063246C2311yescharacteristic
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—
384C22×D4×C43—21no—
385C22×D4×C43—21no—
386C22×D4×C43—21no—
387C22×D4×C43C2311yescharacteristic
388C22×D4×C43C2311yescharacteristic
389C22×D4×C43C2311yescharacteristic
390C23×C4×C43—21no—
391C4⋊Q8×C43C2311yescharacteristic
392#127×C43C2311yescharacteristic
393#127×C43C2311yescharacteristic
394#127×C43C2311yescharacteristic
395#126×C43—21no—
396#126×C43—21no—
397#126×C43D411yescharacteristic
398#126×C43D411yescharacteristic
399#125×C43D411yescharacteristic
400#125×C43C2311yescharacteristic
401#125×C43C2311yescharacteristic
402#124×C43—21no—
403#124×C43—21no—
404#124×C43—21no—
405#124×C43D411yescharacteristic
406#123×C43—21no—
407#123×C43—21no—
408#123×C43—21no—
409#123×C43—21no—
410#123×C43—21no—
411#123×C43—21no—
412#123×C43D411yescharacteristic
413#123×C43D411yescharacteristic
414C22⋊Q8×C43—21no—
415C22⋊Q8×C43—21no—
416C22⋊Q8×C43—21no—
417C22⋊Q8×C43D411yescharacteristic
418#121×C43—21no—
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×C43D411yescharacteristic
433#121×C43C2311yescharacteristic
434#121×C43C2311yescharacteristic
435#121×C43C2311yescharacteristic
436#121×C43C2311yescharacteristic
437#121×C43C2311yescharacteristic
438#121×C43C2311yescharacteristic
439#120×C43—21no—
440#120×C43—21no—
441#120×C43—21no—
442#120×C43—21no—
443#120×C43—21no—
444#120×C43—21no—
445C4×Q8×C43C2311yescharacteristic
446C4×D4×C43—21no—
447C4×D4×C43—21no—
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×C43C2311yescharacteristic
456C4×D4×C43C2311yescharacteristic
457C4×D4×C43C2311yescharacteristic
458C4×D4×C43C2311yescharacteristic
459C4×D4×C43C2311yescharacteristic
460C4×D4×C43C2311yescharacteristic
461C4×D4×C43C2311yescharacteristic
462C4×D4×C43C2311yescharacteristic
463C4×D4×C43C2311yescharacteristic
464C4×D4×C43C2311yescharacteristic
465C4×D4×C43C2311yescharacteristic
466C4×D4×C43C2311yescharacteristic
467C4×D4×C43C2311yescharacteristic
468#117×C43—21no—
469#117×C43C2311yescharacteristic
470#117×C43C2311yescharacteristic
471#117×C43C2311yescharacteristic
472#117×C43C2311yescharacteristic
473C2×C4⋊C4×C43—21no—
474C2×C4⋊C4×C43C2311yescharacteristic
475C2×C22⋊C4×C43—21no—
476C2×C22⋊C4×C43—21no—
477C2×C22⋊C4×C43—21no—
478C2×C22⋊C4×C43—21no—
479C2×C22⋊C4×C43—21no—
480C2×C42×C43C2311yescharacteristic
481C24×C43—21no—
482C24×C43—21no—
483C24×C43—21no—
484C23×D43—21no—
485#41×C43—82no—
486#41×C43—82no—
487C2×Q8×C43—21no—
488C2×Q8×C43C2×D411yescharacteristic
489C2×D4×C43—21no—
490C2×D4×C43—21no—
491C2×D4×C43—21no—
492C2×D4×C43—21no—
493C2×D4×C43—21no—
494C2×D4×C43—21no—
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—22no—
505C2×D4×C43—22no—
506C2×D4×C43—22no—
507C2×D4×C43—41no—
508C2×D4×C43—41no—
509C2×D4×C43—41no—
510C2×D4×C43—82no—
511C2×D4×C43—82no—
512C2×D4×C43—82no—
513C2×D4×C43C2×D411yescharacteristic
514C2×D4×C43C2×D411yescharacteristic
515C2×D4×C43C2×D411yescharacteristic
516C2×D4×C43C2411yescharacteristic
517C2×D4×C43C2411yescharacteristic
518C2×D4×C43C2411yescharacteristic
519C2×D4×C43C2411yescharacteristic
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×C43—21no—
528C22×C4×C43—21no—
529C22×C4×C43—21no—
530C22×C4×C43—21no—
531C22×C4×C43—82no—
532C22×C4×C43C2×D411yescharacteristic
533C22×C4×C43C2×D411yescharacteristic
534C22×C4×C43C2411yescharacteristic
535C22×C4×C43C2411yescharacteristic
536C22×C4×C43C2411yescharacteristic
537C2×C22⋊D43—21no—
538C2×C22⋊D43—21no—
539C2×C22⋊D43—21no—
540C2×C22⋊D43—21no—
541C22×Dic43—21no—
542#10621898—22no—
543#10621898—22no—
544#10621898—41no—
545#10621898—41no—
546C2×D172—21no—
547C2×D172—22no—
548C2×D172—41no—
549C2×D172C2411yescharacteristic
550C2×D172C2411yescharacteristic
551C2×C4×D43—21no—
552C2×C4×D43—21no—
553C2×C4×D43—21no—
554C2×C4×D43—21no—
555C2×C4×D43—21no—
556C2×C4×D43—21no—
557C2×C4×D43—21no—
558C2×C4×D43—21no—
559C2×Dic86—21no—
560C2×Dic86C2411yescharacteristic
561C2×Dic86C2411yescharacteristic
562C4⋊C4×C43—21no—
563C4⋊C4×C43—21no—
564C4⋊C4×C43—21no—
565C4⋊C4×C43—21no—
566C4⋊C4×C43—21no—
567C4⋊C4×C43—21no—
568C4⋊C4×C43C2×D411yescharacteristic
569C4⋊C4×C43C2×D411yescharacteristic
570C4⋊C4×C43C2×D411yescharacteristic
571C4⋊C4×C43C2×D411yescharacteristic
572C4⋊C4×C43C2×D411yescharacteristic
573C4⋊C4×C43C2×D411yescharacteristic
574C4⋊C4×C43C2×D411yescharacteristic
575C4⋊C4×C43C2×D411yescharacteristic
576C4⋊C4×C43C2×D411yescharacteristic
577C4⋊C4×C43C2×D411yescharacteristic
578C4⋊C4×C43C2411yescharacteristic
579C4⋊C4×C43C2411yescharacteristic
580C4⋊C4×C43C2411yescharacteristic
581C4⋊C4×C43C2411yescharacteristic
582C22⋊C4×C43—21no—
583C22⋊C4×C43—21no—
584C22⋊C4×C43—21no—
585C22⋊C4×C43—21no—
586C22⋊C4×C43—21no—
587C22⋊C4×C43—21no—
588C22⋊C4×C43—21no—
589C22⋊C4×C43—21no—
590C22⋊C4×C43—21no—
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×C43C2×D411yescharacteristic
601C22⋊C4×C43C2×D411yescharacteristic
602C22⋊C4×C43C2×D411yescharacteristic
603C22⋊C4×C43C2×D411yescharacteristic
604C22⋊C4×C43C2×D411yescharacteristic
605C22⋊C4×C43C2×D411yescharacteristic
606C22⋊C4×C43C2×D411yescharacteristic
607C22⋊C4×C43C2×D411yescharacteristic
608C22⋊C4×C43C2×D411yescharacteristic
609C22⋊C4×C43C2×D411yescharacteristic
610C42×C43—21no—
611C42×C43—21no—
612C42×C43C2×D411yescharacteristic
613C42×C43C2×D411yescharacteristic
614C42×C43C2411yescharacteristic
615C42×C43C2411yescharacteristic
616C42×C43C2411yescharacteristic
617C42×C43C2411yescharacteristic
618C22⋊Dic43—21no—
619C22⋊Dic43—21no—
620C22⋊Dic43—21no—
621C22⋊Dic43—21no—
622C22⋊Dic43—21no—
623C22⋊Dic43—21no—
624#10621883—22no—
625#10621883—22no—
626#10621883—22no—
627#10621883—22no—
628#10621883—41no—
629#10621883—41no—
630#10621883—41no—
631#10621883—41no—
632#10621882—22no—
633#10621882—22no—
634#10621882—22no—
635#10621882—22no—
636#10621882—22no—
637#10621882—41no—
638#10621882—41no—
639#10621882#4114yescomplemented
640(C2×D43)⋊C4—21no—
641(C2×D43)⋊C4—21no—
642(C2×D43)⋊C4—21no—
643(C2×D43)⋊C4—21no—
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—
652C4⋊Dic43—21no—
653C4⋊Dic43—21no—
654C4⋊Dic43—21no—
655C4⋊Dic43—21no—
656C4⋊Dic43C2411yescharacteristic
657C4⋊Dic43C2411yescharacteristic
658C4⋊Dic43C2411yescharacteristic
659C4⋊Dic43C2411yescharacteristic
660Dic43⋊C4—21no—
661Dic43⋊C4—21no—
662Dic43⋊C4—21no—
663Dic43⋊C4—21no—
664Dic43⋊C4—21no—
665Dic43⋊C4—21no—
666Dic43⋊C4—21no—
667Dic43⋊C4—21no—
668Dic43⋊C4—21no—
669Dic43⋊C4—21no—
670Dic43⋊C4—21no—
671Dic43⋊C4—21no—
672C4×Dic43—21no—
673C4×Dic43—21no—
674C4×Dic43—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×C43—21no—
696C23×C43—42no—
697C23×C43—42no—
698C23×C43—42no—
699C23×C43—42no—
700C23×C43—81no—
701C23×C43—81no—
702C23×C43—81no—
703C23×C43—81no—
704C23×C43—81no—
705C23×C43C22×D411yescharacteristic
706C23×C43C22×D411yescharacteristic
707C23×C43C22×D411yescharacteristic
708C22×D43—21no—
709C22×D43—21no—
710C22×D43—42no—
711C22×D43—81no—
712C22×D43—81no—
713Q8×C43—41no—
714Q8×C43—81no—
715D4×C43—21no—
716D4×C43—21no—
717D4×C43—21no—
718D4×C43—21no—
719D4×C43—21no—
720D4×C43—21no—
721D4×C43—21no—
722D4×C43—41no—
723D4×C43—41no—
724D4×C43—41no—
725D4×C43—42no—
726D4×C43—42no—
727D4×C43—42no—
728D4×C43—42no—
729D4×C43—42no—
730D4×C43—42no—
731D4×C43—81no—
732D4×C43—81no—
733D4×C43—81no—
734D4×C43—81no—
735D4×C43—81no—
736D4×C43—81no—
737D4×C43—81no—
738D4×C43—81no—
739D4×C43—81no—
740D4×C43C2×#4112yes—
741C2×C4×C43—21no—
742C2×C4×C43—21no—
743C2×C4×C43—21no—
744C2×C4×C43—21no—
745C2×C4×C43—21no—
746C2×C4×C43—21no—
747C2×C4×C43—21no—
748C2×C4×C43—21no—
749C2×C4×C43—21no—
750C2×C4×C43—21no—
751C2×C4×C43—41no—
752C2×C4×C43—41no—
753C2×C4×C43—42no—
754C2×C4×C43—42no—
755C2×C4×C43—81no—
756C2×C4×C43—81no—
757C2×C4×C43—81no—
758C2×C4×C43—81no—
759C2×C4×C43—81no—
760C2×C4×C43—81no—
761C2×C4×C43—81no—
762C2×C4×C43—81no—
763C2×C4×C43—81no—
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×C43C22×D411yescharacteristic
771C2×C4×C43C22×D411yescharacteristic
772C2×C4×C43C22×D411yescharacteristic
773C2×C4×C43C22×D411yescharacteristic
774C2×C4×C43C22×D411yescharacteristic
775C2×C4×C43C2511yescharacteristic
776C22⋊D43—42no—
777C22⋊D43—42no—
778C22⋊D43—81no—
779C22⋊D43—81no—
780C2×Dic43—21no—
781C2×Dic43—21no—
782C2×Dic43—21no—
783C2×Dic43—21no—
784C2×Dic43—21no—
785C2×Dic43—21no—
786C2×Dic43—81no—
787D172—21no—
788D172—21no—
789D172—21no—
790D172—42no—
791D172C2×#4112yes—
792C4×D43—42no—
793C4×D43—42no—
794C4×D43—81no—
795C4×D43—81no—
796C4×D43—81no—
797C4×D43—81no—
798C4×D43—81no—
799C4×D43—81no—
800Dic86—21no—
801Dic86—21no—
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#61506—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—22no—
822C22×C43—21no—
823C22×C43—21no—
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×C43—41no—
833C22×C43—41no—
834C22×C43—41no—
835C22×C43—84no—
836C22×C43—162no—
837C22×C43—162no—
838C22×C43C23×D411yescharacteristic
839C2×D43—22no—
840C2×D43—41no—
841C2×D43—41no—
842C2×D43—41no—
843C2×D43—41no—
844C2×D43—41no—
845C2×D43—162no—
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—21no—
856C4×C43—21no—
857C4×C43—41no—
858C4×C43—41no—
859C4×C43—41no—
860C4×C43—41no—
861C4×C43C22×#4111yescharacteristic
862C4×C43#58511yescharacteristic
863Dic43—41no—
864Dic43—41no—
865Dic43—41no—
866Dic43—41no—
867Dic43—41no—
868Dic43—41no—
869#3521—431no—
870#3519D4311yescharacteristic, complemented
871#3397—431no—
872#3389—431no—
873#3376—431no—
874#3366—431no—
875#3355—431no—
876#3350—431no—
877#3348—431no—
878#3324—431no—
879#3322—431no—
880#3319—431no—
881#3318—431no—
882#3310—431no—
883#3307—431no—
884#3272—431no—
885#3264—431no—
886#3264—431no—
887#3179—431no—
888#3174—431no—
889#3171—431no—
890#3123—431no—
891#3122—431no—
892#3119—431no—
893#3118—431no—
894#3115—431no—
895#3114—431no—
896#2967—431no—
897#2948—431no—
898#2946—431no—
899C4×AGL(1,ℤ/8)—431no—
900C2×C43—41no—
901C2×C43—41no—
902C2×C43—41no—
903C2×C43—42no—
904C2×C43—81no—
905C2×C43—81no—
906C2×C43—81no—
907C2×C43D4×#4111yescharacteristic
908C2×C43#358511yescharacteristic
909C2×C43#358511yescharacteristic
910D43—42no—
911D43—81no—
912C2×AGL(1,ℤ/8)—431no—
913C2×AGL(1,ℤ/8)—431no—
914C22×D8—431no—
915#556—431no—
916#556—431no—
917#555C2×D4311yescharacteristic
918#554—431no—
919#554C2×D4311yescharacteristic, complemented
920#553—21no—
921#553—431no—
922#553—861no—
923#553C2×D4311yescharacteristic
924#553C2×D4311yescharacteristic, complemented
925#552—431no—
926#552—861no—
927#551—861no—
928#551—861no—
929#550C2×D4311yescharacteristic, complemented
930#547—431no—
931#546—21no—
932#546—21no—
933#546—21no—
934#546—431no—
935#546—431no—
936D42C2×D4311yescharacteristic
937D42C2×D4311yescharacteristic
938D42C2×D4311yescharacteristic, complemented
939#542—431no—
940#541—431no—
941#540C2×D4311yescharacteristic
942#540C2×D4311yescharacteristic, complemented
943#539—861no—
944#538—21no—
945#538—21no—
946#538—861no—
947#532C2×D4311yescharacteristic, complemented
948#529—431no—
949#529—861no—
950#529C2×D4311yescharacteristic
951C2×#126—861no—
952#525—21no—
953C2×#121—21no—
954#520—431no—
955#518—431no—
956#518C2×D4311yescharacteristic
957#518C2×D4311yescharacteristic, complemented
958C4×#41—431no—
959C2×C4×D4C2×D4311yescharacteristic, complemented
960#501—431no—
961#501—431no—
962#499—431no—
963#496—431no—
964#496—431no—
965#492—431no—
966#491—431no—
967#490—431no—
968#490—431no—
969#489—431no—
970#488—431no—
971#486—431no—
972#485—431no—
973#485—431no—
974#485—431no—
975#483—431no—
976#482—431no—
977#482—431no—
978#482—431no—
979#482—431no—
980#482—431no—
981#481—431no—
982#480—431no—
983#480—431no—
984#479—431no—
985#478—431no—
986#478—431no—
987#478—431no—
988#478—431no—
989#478—431no—
990#478—431no—
991#478—431no—
992#476—431no—
993#475—431no—
994#474—431no—
995#474—431no—
996#469—431no—
997#469—431no—
998#469—431no—
999#468—431no—
1000#468—431no—
1001#468—431no—
1002#468—431no—
1003#468—431no—
1004#466—431no—
1005#465—431no—
1006#465—431no—
1007#465—431no—
1008#463—431no—
1009#463—431no—
1010#463—431no—
1011#463—431no—
1012#461—431no—
1013#461—431no—
1014#460—431no—
1015#460—431no—
1016#459—431no—
1017#459—431no—
1018#459—431no—
1019#459—431no—
1020#450—431no—
1021#450—431no—
1022#450—431no—
1023#450—431no—
1024#449—431no—
1025#449—431no—
1026#449—431no—
1027#449—431no—
1028#447—431no—
1029#447—431no—
1030#447—431no—
1031#447—431no—
1032#446—431no—
1033#446—431no—
1034#442—431no—
1035#442—431no—
1036#442—431no—
1037#442—431no—
1038#442—431no—
1039#442—431no—
1040#442—431no—
1041#442—431no—
1042#442—431no—
1043#440—431no—
1044#440—431no—
1045#440—431no—
1046#440—431no—
1047#440—431no—
1048#440—431no—
1049#440—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—
1060C4×D8—431no—
1061C4×D8—431no—
1062#436—431no—
1063#436—431no—
1064#435—431no—
1065#435—431no—
1066#435—431no—
1067#435—431no—
1068#433—431no—
1069#433—431no—
1070#432—431no—
1071#428—431no—
1072#428—431no—
1073#427—431no—
1074#418—431no—
1075#418—431no—
1076#418—431no—
1077#417—431no—
1078#416—431no—
1079C2×#102—431no—
1080#405—431no—
1081#405—431no—
1082C4×M16—431no—
1083C43#6150611yescharacteristic, complemented, Sylow
1084C2×#41—21no—
1085C2×#41—21no—
1086C2×#41—431no—
1087C2×#41—431no—
1088C22×D4—21no—
1089C22×D4—21no—
1090C22×D4—21no—
1091C22×D4—431no—
1092C22×D4C22×D4311yescharacteristic
1093C22×D4C22×D4311yescharacteristic
1094C22×D4C22×D4311yescharacteristic
1095C23×C4—21no—
1096AGL(1,ℤ/8)—864no—
1097AGL(1,ℤ/8)—864no—
1098C2×SD16—431no—
1099C2×SD16—431no—
1100C2×SD16—431no—
1101C2×SD16—431no—
1102C2×SD16—431no—
1103C2×SD16—431no—
1104C2×SD16—431no—
1105C2×SD16—431no—
1106C2×D8—431no—
1107C2×D8—431no—
1108C2×D8—431no—
1109C2×D8—431no—
1110C2×D8—431no—
1111C2×D8—431no—
1112C2×D8—431no—
1113C2×D8—431no—
1114C2×D8—864no—
1115C2×M16—431no—
1116C2×M16—431no—
1117C2×M16—431no—
1118C2×M16—431no—
1119C22×C8—431no—
1120C22×C8—431no—
1121C4⋊Q8—431no—
1122C4⋊Q8—431no—
1123C4⋊Q8C22×D4311yescharacteristic
1124#127C22×D4311yescharacteristic
1125#127C22×D4311yescharacteristic
1126#127C22×D4311yescharacteristic
1127#126—21no—
1128#126—21no—
1129#126—861no—
1130#126—861no—
1131#126—861no—
1132#126—861no—
1133#126—861no—
1134#126—861no—
1135#126—861no—
1136#126—861no—
1137#126—861no—
1138#126—861no—
1139#126C22⋊D4311yescharacteristic
1140#126C22⋊D4311yescharacteristic
1141#125—431no—
1142#125—431no—
1143#125—861no—
1144#125—861no—
1145#125—861no—
1146#125C22⋊D4311yescharacteristic
1147#125C22×D4311yescharacteristic
1148#125C22×D4311yescharacteristic
1149#124—21no—
1150#124—21no—
1151#124—21no—
1152#124—431no—
1153#124—431no—
1154#124—861no—
1155#124—861no—
1156#124C22⋊D4311yescharacteristic
1157#123—21no—
1158#123—21no—
1159#123—21no—
1160#123—21no—
1161#123—21no—
1162#123—21no—
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—21no—
1175C22⋊Q8—21no—
1176C22⋊Q8—431no—
1177C22⋊Q8—431no—
1178C22⋊Q8—431no—
1179C22⋊Q8—431no—
1180C22⋊Q8—861no—
1181C22⋊Q8—861no—
1182C22⋊Q8—861no—
1183C22⋊Q8—861no—
1184C22⋊Q8—861no—
1185C22⋊Q8C22⋊D4311yescharacteristic
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—21no—
1199#121—21no—
1200#121—431no—
1201#121—431no—
1202#121—861no—
1203#121—861no—
1204#121—861no—
1205#121—861no—
1206#121C22⋊D4311yescharacteristic
1207#121C22×D4311yescharacteristic
1208#121C22×D4311yescharacteristic
1209#121C22×D4311yescharacteristic
1210#121C22×D4311yescharacteristic
1211#121C22×D4311yescharacteristic
1212#121C22×D4311yescharacteristic
1213#120—21no—
1214#120—21no—
1215#120—21no—
1216#120—21no—
1217#120—21no—
1218#120—21no—
1219#120—861no—
1220#120—861no—
1221C4×Q8—431no—
1222C4×Q8—431no—
1223C4×Q8—431no—
1224C4×Q8—431no—
1225C4×Q8—861no—
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—431no—
1237C4×D4—431no—
1238C4×D4—431no—
1239C4×D4—431no—
1240C4×D4—431no—
1241C4×D4—431no—
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×D4C22×D4311yescharacteristic
1251C4×D4C22×D4311yescharacteristic
1252C4×D4C22×D4311yescharacteristic
1253C4×D4C22×D4311yescharacteristic
1254C4×D4C22×D4311yescharacteristic
1255C4×D4C22×D4311yescharacteristic
1256C4×D4C22×D4311yescharacteristic
1257C4×D4C22×D4311yescharacteristic
1258C4×D4C22×D4311yescharacteristic
1259C4×D4C22×D4311yescharacteristic
1260C4×D4C22×D4311yescharacteristic
1261C4×D4C22×D4311yescharacteristic
1262C4×D4C22×D4311yescharacteristic
1263#117—21no—
1264#117—431no—
1265#117—431no—
1266#117—861no—
1267#117—861no—
1268#117—861no—
1269#117—861no—
1270#117—861no—
1271#117C22×D4311yescharacteristic
1272#117C22×D4311yescharacteristic
1273#117C22×D4311yescharacteristic
1274#117C22×D4311yescharacteristic
1275C2×C4⋊C4—21no—
1276C2×C4⋊C4—431no—
1277C2×C4⋊C4—861no—
1278C2×C4⋊C4—861no—
1279C2×C4⋊C4—861no—
1280C2×C4⋊C4C22×D4311yescharacteristic
1281C2×C22⋊C4—21no—
1282C2×C22⋊C4—21no—
1283C2×C22⋊C4—21no—
1284C2×C22⋊C4—21no—
1285C2×C22⋊C4—21no—
1286C2×C22⋊C4—861no—
1287C2×C22⋊C4—861no—
1288C2×C22⋊C4—861no—
1289C2×C22⋊C4—861no—
1290C2×C42—861no—
1291C2×C42C22×D4311yescharacteristic
1292#107—431no—
1293#107—431no—
1294#107—431no—
1295#107—431no—
1296#107—431no—
1297#107—431no—
1298#107—431no—
1299#107—431no—
1300#106—431no—
1301#106—431no—
1302#106—431no—
1303#106—431no—
1304#106—431no—
1305#106—431no—
1306#106—431no—
1307#106—431no—
1308C4⋊C8—431no—
1309C4⋊C8—431no—
1310C4⋊C8—431no—
1311C4⋊C8—431no—
1312C4⋊C8—431no—
1313C4⋊C8—431no—
1314#103—431no—
1315#103—431no—
1316#103—431no—
1317#103—431no—
1318#103—431no—
1319#103—431no—
1320#103—431no—
1321#103—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—
1344#102—431no—
1345#102—431no—
1346C22⋊C8—431no—
1347C22⋊C8—431no—
1348C22⋊C8—431no—
1349C22⋊C8—431no—
1350C22⋊C8—431no—
1351C22⋊C8—431no—
1352#97—431no—
1353#97—431no—
1354#97—431no—
1355#97—431no—
1356#97—431no—
1357#97—431no—
1358C4×C8—431no—
1359C4×C8—431no—
1360C4×C8—431no—
1361C4×C8—431no—
1362C24—21no—
1363C24—21no—
1364C24—21no—
1365C24—861no—
1366#41—82no—
1367#41—82no—
1368#41—862no—
1369#41—862no—
1370#41—1721no—
1371#41—1721no—
1372C2×Q8—21no—
1373C2×Q8—431no—
1374C2×Q8—431no—
1375C2×Q8—861no—
1376C2×Q8C2×C22⋊D4311yescharacteristic
1377C2×D4—22no—
1378C2×D4—22no—
1379C2×D4—22no—
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—21no—
1395C2×D4—41no—
1396C2×D4—41no—
1397C2×D4—41no—
1398C2×D4—82no—
1399C2×D4—82no—
1400C2×D4—82no—
1401C2×D4—431no—
1402C2×D4—431no—
1403C2×D4—862no—
1404C2×D4—861no—
1405C2×D4—861no—
1406C2×D4—861no—
1407C2×D4—861no—
1408C2×D4—861no—
1409C2×D4—1721no—
1410C2×D4C2×C22⋊D4311yescharacteristic
1411C2×D4C2×C22⋊D4311yescharacteristic
1412C2×D4C2×C22⋊D4311yescharacteristic
1413C2×D4C23×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—82no—
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×C4C2×C22⋊D4311yescharacteristic
1439C22×C4C2×C22⋊D4311yescharacteristic
1440C22×C4C23×D4311yescharacteristic
1441C22×C4C23×D4311yescharacteristic
1442C22×C4C23×D4311yescharacteristic
1443SD16—862no—
1444SD16—862no—
1445SD16—862no—
1446SD16—862no—
1447SD16—1721no—
1448SD16—1721no—
1449SD16—1721no—
1450SD16—1721no—
1451D8—434no—
1452D8—862no—
1453D8—862no—
1454D8—862no—
1455D8—862no—
1456D8—862no—
1457D8—1721no—
1458D8—1721no—
1459M16—862no—
1460M16—862no—
1461M16—1721no—
1462M16—1721no—
1463C2×C8—431no—
1464C2×C8—431no—
1465C2×C8—431no—
1466C2×C8—431no—
1467C2×C8—431no—
1468C2×C8—431no—
1469C2×C8—431no—
1470C2×C8—431no—
1471C2×C8—862no—
1472C2×C8—1721no—
1473C4⋊C4—21no—
1474C4⋊C4—21no—
1475C4⋊C4—21no—
1476C4⋊C4—21no—
1477C4⋊C4—21no—
1478C4⋊C4—21no—
1479C4⋊C4—431no—
1480C4⋊C4—431no—
1481C4⋊C4—431no—
1482C4⋊C4—431no—
1483C4⋊C4—861no—
1484C4⋊C4—861no—
1485C4⋊C4—861no—
1486C4⋊C4—861no—
1487C4⋊C4—861no—
1488C4⋊C4—861no—
1489C4⋊C4—861no—
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⋊C4C2×C22⋊D4311yescharacteristic
1500C4⋊C4C2×C22⋊D4311yescharacteristic
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⋊C4C23×D4311yescharacteristic
1510C4⋊C4C23×D4311yescharacteristic
1511C4⋊C4C23×D4311yescharacteristic
1512C4⋊C4C23×D4311yescharacteristic
1513C22⋊C4—21no—
1514C22⋊C4—21no—
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—21no—
1529C22⋊C4—21no—
1530C22⋊C4—21no—
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⋊C4—861no—
1548C22⋊C4—861no—
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
1557C22⋊C4C2×C22⋊D4311yescharacteristic
1558C22⋊C4C2×C22⋊D4311yescharacteristic
1559C42—21no—
1560C42—21no—
1561C42—861no—
1562C42—861no—
1563C42—861no—
1564C42—861no—
1565C42—861no—
1566C42—861no—
1567C42C2×C22⋊D4311yescharacteristic
1568C42C2×C22⋊D4311yescharacteristic
1569C42C23×D4311yescharacteristic
1570C42C23×D4311yescharacteristic
1571C42C23×D4311yescharacteristic
1572C42C23×D4311yescharacteristic
1573C23—21no—
1574C23—21no—
1575C23—21no—
1576C23—21no—
1577C23—42no—
1578C23—42no—
1579C23—42no—
1580C23—42no—
1581C23—81no—
1582C23—81no—
1583C23—81no—
1584C23—81no—
1585C23—81no—
1586C23—861no—
1587C23—861no—
1588C23—3441no—
1589C23—3441no—
1590C23—1722no—
1591C23C22×C22⋊D4311yescharacteristic
1592C23C22×C22⋊D4311yescharacteristic
1593C23C22×C22⋊D4311yescharacteristic
1594Q8—41no—
1595Q8—81no—
1596Q8—861no—
1597Q8—861no—
1598Q8—861no—
1599Q8—861no—
1600Q8—3441no—
1601D4—21no—
1602D4—21no—
1603D4—21no—
1604D4—21no—
1605D4—21no—
1606D4—21no—
1607D4—21no—
1608D4—41no—
1609D4—41no—
1610D4—41no—
1611D4—42no—
1612D4—42no—
1613D4—42no—
1614D4—42no—
1615D4—42no—
1616D4—42no—
1617D4—81no—
1618D4—81no—
1619D4—81no—
1620D4—81no—
1621D4—81no—
1622D4—81no—
1623D4—81no—
1624D4—81no—
1625D4—81no—
1626D4—432no—
1627D4—861no—
1628D4—861no—
1629D4—861no—
1630D4—3441no—
1631D4—3441no—
1632D4—1722no—
1633D4—1722no—
1634D4—1722no—
1635D4#41×D4312yes—
1636C2×C4—21no—
1637C2×C4—21no—
1638C2×C4—21no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—21no—
1642C2×C4—21no—
1643C2×C4—21no—
1644C2×C4—21no—
1645C2×C4—21no—
1646C2×C4—41no—
1647C2×C4—41no—
1648C2×C4—42no—
1649C2×C4—42no—
1650C2×C4—81no—
1651C2×C4—81no—
1652C2×C4—81no—
1653C2×C4—81no—
1654C2×C4—81no—
1655C2×C4—81no—
1656C2×C4—81no—
1657C2×C4—81no—
1658C2×C4—81no—
1659C2×C4—861no—
1660C2×C4—861no—
1661C2×C4—861no—
1662C2×C4—861no—
1663C2×C4—861no—
1664C2×C4—861no—
1665C2×C4—3441no—
1666C2×C4—3441no—
1667C2×C4—3441no—
1668C2×C4—3441no—
1669C2×C4—3441no—
1670C2×C4—3441no—
1671C2×C4—3441no—
1672C2×C4—1722no—
1673C2×C4—1722no—
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×C4C22×C22⋊D4311yescharacteristic
1684C2×C4C22×C22⋊D4311yescharacteristic
1685C2×C4C24×D4311yescharacteristic
1686C8—432no—
1687C8—861no—
1688C8—861no—
1689C8—861no—
1690C8—861no—
1691C8—861no—
1692C8—861no—
1693C8—861no—
1694C22—21no—
1695C22—21no—
1696C22—21no—
1697C22—22no—
1698C22—21no—
1699C22—21no—
1700C22—21no—
1701C22—21no—
1702C22—21no—
1703C22—21no—
1704C22—41no—
1705C22—41no—
1706C22—41no—
1707C22—41no—
1708C22—41no—
1709C22—41no—
1710C22—41no—
1711C22—41no—
1712C22—41no—
1713C22—41no—
1714C22—41no—
1715C22—84no—
1716C22—162no—
1717C22—162no—
1718C22—862no—
1719C22—1721no—
1720C22—1721no—
1721C22—1721no—
1722C22—1721no—
1723C22—1721no—
1724C22—6882no—
1725C22C23×C22⋊D4311yescharacteristic
1726C4—21no—
1727C4—21no—
1728C4—21no—
1729C4—21no—
1730C4—21no—
1731C4—21no—
1732C4—21no—
1733C4—21no—
1734C4—21no—
1735C4—21no—
1736C4—21no—
1737C4—41no—
1738C4—41no—
1739C4—41no—
1740C4—41no—
1741C4—1721no—
1742C4—1721no—
1743C4—1721no—
1744C4—1721no—
1745C4—1721no—
1746C4—1721no—
1747C4C2×#41×D4311yescharacteristic
1748C4#1458373511yescharacteristic
1749C2—41no—
1750C2—41no—
1751C2—41no—
1752C2—42no—
1753C2—81no—
1754C2—81no—
1755C2—81no—
1756C2—3441no—
1757C2—1722no—
1758C2#41×C22⋊D4311yescharacteristic
1759C2#1914937511yescharacteristic
1760C2#1914937511yescharacteristic
subgroupG/H
centerC22C23×C22⋊D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3519C2
socleC22×C43C23×D4
hypercenter#3519D43
hypocenterC43#61506
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ #529 ◁ #3519

Complements

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

NH ≅ G/Ntype
1. #19148667C2semidirect
2. #19147611C2semidirect
3. #19147549C2semidirect
4. #19147422C2semidirect
5. #19147298C2semidirect
6. #19147195C2semidirect
7. #19147134C2semidirect
8. #19147110C2semidirect
9. #19146826C2semidirect
10. #19146790C2semidirect
11. #19146745C2semidirect
12. #19146736C2semidirect
13. #19146616C2semidirect
14. #19146565C2semidirect
15. #19146191C2semidirect
16. #19146071C2semidirect
17. #19146071C2semidirect
18. #19145280C2semidirect
19. #19145217C2semidirect
20. #19145184C2semidirect
21. #19144847C2semidirect
22. #19144833C2semidirect
23. #19144788C2semidirect
24. #19144779C2semidirect
25. #19144740C2semidirect
26. #19144733C2semidirect
27. #19143582C2semidirect
28. #19143445C2semidirect
29. #19143427C2semidirect
30. C4×#13063351C2semidirect
31. C43×#3519C2semidirect
35. #14583622C22semidirect
36. #14583619C22semidirect
37. #14583609C22semidirect
38. #14583595C22semidirect
40. #14583589C22semidirect
44. #14583554C22semidirect
45. #14583545C22semidirect
46. #14583545C22semidirect
47. #14583520C22semidirect
48. #14583511C22semidirect
51. #14583433C22semidirect
54. #14583379C22semidirect
55. #14583373C22semidirect
56. C4×#10621898C22semidirect
57. #14583309C22semidirect
58. #14583305C22semidirect
59. #14583298C22semidirect
60. #14583286C22semidirect
61. #14583286C22semidirect
62. #14583271C22semidirect
63. #14583269C22semidirect
64. #14583263C22semidirect
65. #14583263C22semidirect
66. #14583261C22semidirect
67. #14583256C22semidirect
68. #14583245C22semidirect
69. #14583240C22semidirect
70. #14583240C22semidirect
71. #14583240C22semidirect
72. #14583229C22semidirect
73. #14583223C22semidirect
74. #14583220C22semidirect
75. #14583220C22semidirect
76. #14583220C22semidirect
77. #14583220C22semidirect
78. #14583215C22semidirect
79. #14583212C22semidirect
80. #14583210C22semidirect
81. #14583203C22semidirect
82. #14583199C22semidirect
83. #14583199C22semidirect
84. #14583199C22semidirect
85. #14583199C22semidirect
86. #14583196C22semidirect
87. #14583196C22semidirect
88. #14583196C22semidirect
89. #14583189C22semidirect
90. #14583181C22semidirect
91. #14583179C22semidirect
92. #14583176C22semidirect
93. #14583150C22semidirect
94. #14583150C22semidirect
95. #14583150C22semidirect
96. #14583143C22semidirect
97. #14583143C22semidirect
98. #14583143C22semidirect
99. #14583143C22semidirect
100. #14583143C22semidirect
101. #14583133C22semidirect
102. #14583126C22semidirect
103. #14583126C22semidirect
104. #14583126C22semidirect
107. #14583114C22semidirect
108. #14583114C22semidirect
109. #14583104C22semidirect
110. #14583104C22semidirect
111. #14583096C22semidirect
112. #14583096C22semidirect
113. #14583091C22semidirect
114. #14583091C22semidirect
115. #14583091C22semidirect
116. #14583091C22semidirect
119. #14583050C22semidirect
120. #14583050C22semidirect
121. #14583042C22semidirect
122. #14583042C22semidirect
123. #14583042C22semidirect
124. #14583042C22semidirect
127. #14583032C22semidirect
128. #14583032C22semidirect
129. #14583030C22semidirect
130. #14583030C22semidirect
135. #14583009C22semidirect
136. #14583009C22semidirect
137. #14583009C22semidirect
138. #14583009C22semidirect
139. #14583009C22semidirect
140. #14582999C22semidirect
141. #14582999C22semidirect
142. #14582999C22semidirect
143. #14582999C22semidirect
144. #14582999C22semidirect
145. #14582999C22semidirect
146. #14582999C22semidirect
147. C4×#10621883C22semidirect
148. C4×#10621883C22semidirect
149. C4×#10621883C22semidirect
150. C4×#10621883C22semidirect
151. C4×#10621883C22semidirect
154. C4×#10621882C22semidirect
155. C4×#10621882C22semidirect
156. C4×#10621882C22semidirect
157. C4×#10621882C22semidirect
158. C4×#10621882C22semidirect
159. #14582977C22semidirect
160. #14582977C22semidirect
161. #14582971C22semidirect
162. #14582971C22semidirect
163. #14582971C22semidirect
164. #14582971C22semidirect
165. #14582960C22semidirect
166. #14582960C22semidirect
167. #14582956C22semidirect
168. #14582942C22semidirect
169. #14582939C22semidirect
170. #14582935C22semidirect
172. #14582904C22semidirect
173. #14582903C22semidirect
174. #14582898C22semidirect
175. #14582893C22semidirect
176. C2×#13063246C22semidirect
177. #14582855C22semidirect
178. #14582855C22semidirect
179. C4×#10621877C22semidirect
181. C43×#554C22semidirect
184. C43×#553C22semidirect
185. C43×#550C22semidirect
191. D42×C43C22semidirect
193. C43×#540C22semidirect
196. C43×#532C22semidirect
201. C43×#518C22semidirect
202. C2×C4×D4×C43C22semidirect
639. #10621882#41semidirect
870. #3519D43semidirect
919. #554C2×D43semidirect
924. #553C2×D43semidirect
929. #550C2×D43semidirect
938. D42C2×D43semidirect
942. #540C2×D43semidirect
947. #532C2×D43semidirect
957. #518C2×D43semidirect
959. C2×C4×D4C2×D43semidirect
1083. C43#61506semidirect

Maximal subgroups

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

subgroupindex
#191486672
#191476112
#191475492
#191474222
#191472982
#191471952
#191471342
#191471102
#191468262
#191467902
#191467452
#191467362
#191466162
#191465652
#191461912
#191460712
#191452802
#191452172
#191451842
#191448472
#191448332
#191447882
#191447792
#191447402
#191447332
#191435822
#191434452
#191434272
C4×#130633512
C43×#35192
#6150643