Finite Group Databasebeta

← #25965503

Subgroups — #25965503

Order 11008.

2084 conjugacy classes of subgroups.

The subgroup lattice has 1768 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19148328C211yesmaximal, characteristic, complemented
2#19147797C211yesmaximal, characteristic, complemented
3#19144886C211yesmaximal, characteristic, complemented
4#19144880C211yesmaximal, characteristic, complemented
5#19144839C211yesmaximal, characteristic, complemented
6#19144834C211yesmaximal, characteristic, complemented
7#19144825C211yesmaximal, characteristic, complemented
8#19144782C211yesmaximal, characteristic, complemented
9#19144773C211yesmaximal, characteristic, complemented
10#19144749C211yesmaximal, characteristic, complemented
11#19144744C211yesmaximal, characteristic, complemented
12#19144710C211yesmaximal, characteristic, complemented
13#19144703C211yesmaximal, characteristic, complemented
14#19144658C211yesmaximal, characteristic, complemented
15#19144653C211yesmaximal, characteristic, complemented
16#19144619C211yesmaximal, characteristic, complemented
17#19144612C211yesmaximal, characteristic, complemented
18#19144527C211yesmaximal, characteristic, complemented
19#482×D43C211yesmaximal, characteristic, complemented
20#19144454C211yesmaximal, characteristic, complemented
21#19144443C211yesmaximal, characteristic, complemented
22#19144137C211yesmaximal, characteristic, complemented
23#19144137C211yesmaximal, characteristic, complemented
24#19143846C211yesmaximal, characteristic, complemented
25#19143818C211yesmaximal, characteristic, complemented
26#19143475C211yesmaximal, characteristic, complemented
27#19143470C211yesmaximal, characteristic, complemented
28#19143426C211yesmaximal, characteristic, complemented
29#19143422C211yesmaximal, characteristic, complemented
30#19143251C211yesmaximal, characteristic, complemented
31C43×#3121C211yesmaximal, characteristic, complemented
32C22×#10621902C2211yescharacteristic
33C2×#13063352C2211yescharacteristic
34C2×#13063352C2211yescharacteristic
35C2×#13063348C2211yescharacteristic
36C2×#13063348C2211yescharacteristic
37#14583611—21no—
38#14583600—21no—
39#14583594—21no—
40#14583576—21no—
41#14583574—21no—
42#14583551—21no—
43#14583542—21no—
44#14583541—21no—
45#14583526C2211yescharacteristic, complemented
46#14583522C2211yescharacteristic
47#14583504C2211yescharacteristic
48#14583502C2211yescharacteristic
49#14583467C2211yescharacteristic, complemented
50#14583450C2211yescharacteristic, complemented
51#14583446C2211yescharacteristic, complemented
52#14583436C2211yescharacteristic, complemented
53#14583428C2211yescharacteristic, complemented
54#14583412C2211yescharacteristic
55#121×D43C2211yescharacteristic
56#14583381—21no—
57#14583381—21no—
58#14583381C2211yescharacteristic
59#14583381C2211yescharacteristic
60#14583381C2211yescharacteristic
61#14583381C2211yescharacteristic
62#14583381C2211yescharacteristic, complemented
63#14583377C2211yescharacteristic, complemented
64#14583373—21no—
65#14583373—21no—
66#14583373C2211yescharacteristic, complemented
67#14583373C2211yescharacteristic, complemented
68#14583371C2211yescharacteristic, complemented
69C4×#10621902—21no—
70C4×#10621902—21no—
71C4×#10621902C2211yescharacteristic, complemented
72C4×#10621902C2211yescharacteristic, complemented
73C4×#10621902C2211yescharacteristic, complemented
74C4×#10621902C2211yescharacteristic, complemented
75#117×D43—21no—
76#117×D43—21no—
77#117×D43C2211yescharacteristic
78#117×D43C2211yescharacteristic
79#14583239C2211yescharacteristic, complemented
80#14583238C2211yescharacteristic, complemented
81#14583237C2211yescharacteristic, complemented
82#14583226C2211yescharacteristic, complemented
83#14583226C2211yescharacteristic, complemented
84#14583225C2211yescharacteristic, complemented
85#14583225C2211yescharacteristic, complemented
86#14583224C2211yescharacteristic
87#14583224C2211yescharacteristic, complemented
88#14583223C2211yescharacteristic
89#14583223C2211yescharacteristic, complemented
90#14583222C2211yescharacteristic, complemented
91#14583221C2211yescharacteristic, complemented
92#14583220C2211yescharacteristic
93#14583208C2211yescharacteristic, complemented
94#14583206C2211yescharacteristic, complemented
95#14583206C2211yescharacteristic, complemented
96#14583204C2211yescharacteristic, complemented
97#14583202C2211yescharacteristic, complemented
98#14583200C2211yescharacteristic, complemented
99#14583200C2211yescharacteristic, complemented
100#14583198C2211yescharacteristic, complemented
101#14583192C2211yescharacteristic, complemented
102#14583188C2211yescharacteristic, complemented
103#14583186C2211yescharacteristic, complemented
104#14583182C2211yescharacteristic, complemented
105#14583178C2211yescharacteristic, complemented
106#14583176C2211yescharacteristic, complemented
107#14583123C2211yescharacteristic, complemented
108#14583123C2211yescharacteristic, complemented
109#14583117C2211yescharacteristic, complemented
110#14583117C2211yescharacteristic, complemented
111#14583111C2211yescharacteristic, complemented
112#14583111C2211yescharacteristic, complemented
113#14583099C2211yescharacteristic, complemented
114#14583099C2211yescharacteristic, complemented
115#14583097C2211yescharacteristic, complemented
116#14583097C2211yescharacteristic, complemented
117#14583095C2211yescharacteristic, complemented
118#14583095C2211yescharacteristic, complemented
119#14583093C2211yescharacteristic, complemented
120#14583093C2211yescharacteristic, complemented
121#14583060C2211yescharacteristic, complemented
122#14583060C2211yescharacteristic, complemented
123#14583049C2211yescharacteristic, complemented
124#14583047C2211yescharacteristic
125#14583047C2211yescharacteristic
126#14583047C2211yescharacteristic, complemented
127#14583047C2211yescharacteristic, complemented
128#14583043C2211yescharacteristic
129#14583043C2211yescharacteristic
130#14583038C2211yescharacteristic
131#14583038C2211yescharacteristic, complemented
132#14583035C2211yescharacteristic
133#14583035C2211yescharacteristic, complemented
134#14583032C2211yescharacteristic
135#14583012C2211yescharacteristic, complemented
136#14583012C2211yescharacteristic, complemented
137#14583010C2211yescharacteristic, complemented
138#14583010C2211yescharacteristic, complemented
139#14583009C2211yescharacteristic, complemented
140#14583008C2211yescharacteristic, complemented
141#14583006C2211yescharacteristic, complemented
142#14583002C2211yescharacteristic, complemented
143#14583002C2211yescharacteristic, complemented
144#14583002C2211yescharacteristic, complemented
145#14583000C2211yescharacteristic, complemented
146#14582997C2211yescharacteristic, complemented
147#14582997C2211yescharacteristic, complemented
148#14582997C2211yescharacteristic, complemented
149Q16×Dic43C2211yescharacteristic, complemented
150SD16×Dic43C2211yescharacteristic, complemented
151C4×#10621884C2211yescharacteristic, complemented
152C4×#10621884C2211yescharacteristic, complemented
153C4×#10621884C2211yescharacteristic, complemented
154#14582984C2211yescharacteristic, complemented
155#14582984C2211yescharacteristic, complemented
156#14582984C2211yescharacteristic, complemented
157C4×D344C2211yescharacteristic, complemented
158C4×D344C2211yescharacteristic, complemented
159#14582981C2211yescharacteristic, complemented
160#14582981C2211yescharacteristic, complemented
161C4×#10621882C2211yescharacteristic, complemented
162#14582979C2211yescharacteristic, complemented
163#14582960C2211yescharacteristic, complemented
164#14582957C2211yescharacteristic, complemented
165#14582957C2211yescharacteristic, complemented
166#14582955C2211yescharacteristic, complemented
167#14582954C2211yescharacteristic, complemented
168#14582951C2211yescharacteristic, complemented
169#14582950C2211yescharacteristic, complemented
170#14582940C2211yescharacteristic, complemented
171#14582938C2211yescharacteristic, complemented
172#107×D43C2211yescharacteristic, complemented
173#106×D43C2211yescharacteristic, complemented
174#14582924C2211yescharacteristic, complemented
175#14582924C2211yescharacteristic, complemented
176#14582899C2211yescharacteristic
177#14582899C2211yescharacteristic
178#14582899C2211yescharacteristic, complemented
179#14582899C2211yescharacteristic, complemented
180#14582894C2211yescharacteristic
181#14582894C2211yescharacteristic
182#102×D43C2211yescharacteristic, complemented
183#102×D43C2211yescharacteristic, complemented
184#14582861C2211yescharacteristic
185C22⋊C8×D43C2211yescharacteristic
186#14582856C2211yescharacteristic, complemented
187#14582853C2211yescharacteristic, complemented
188C43×#542C2211yescharacteristic
189C43×#519C2211yescharacteristic, complemented
190C43×#485C2211yescharacteristic, complemented
191C43×#482C2211yescharacteristic
192C43×#477C2211yescharacteristic, complemented
193C43×#475C2211yescharacteristic, complemented
194C43×#464C2211yescharacteristic, complemented
195C43×#464C2211yescharacteristic, complemented
196C43×#451C2211yescharacteristic, complemented
197C43×#448C2211yescharacteristic
198C43×#441C2211yescharacteristic, complemented
199C43×#440C2211yescharacteristic, complemented
200C4×Q16×C43C2211yescharacteristic, complemented
201C4×SD16×C43C2211yescharacteristic, complemented
202C43×#433C2211yescharacteristic, complemented
203C2×#10621902—24no—
204C2×#10621902—24no—
205C2×#10621902—21no—
206C2×#10621902—21no—
207C2×#10621902—21no—
208C2×#10621902C2311yescharacteristic
209C2×#10621902C2311yescharacteristic
210C2×#10621902C2311yescharacteristic
211C2×#10621902C2311yescharacteristic
212C2×#10621902C2311yescharacteristic
213C2×#10621898—21no—
214C22×D172—21no—
215C22×D172C2311yescharacteristic
216C2×D4×D43—21no—
217C2×D4×D43C2311yescharacteristic
218C22×C4×D43—21no—
219C22×C4×D43C2311yescharacteristic
220#13063352—24no—
221#13063352—24no—
222#13063348—24no—
223#13063348—24no—
224C2×#10621884C2311yescharacteristic
225C2×#10621884C2311yescharacteristic
226C2×#10621884C2311yescharacteristic
227C2×#10621884C2311yescharacteristic
228C2×#10621884C2311yescharacteristic
229C2×#10621884C2311yescharacteristic
230C2×D344C2311yescharacteristic
231C2×D344C2311yescharacteristic
232C2×D344C2311yescharacteristic
233C2×D344C2311yescharacteristic
234C2×#10621882C2311yescharacteristic
235C2×#10621882C2311yescharacteristic
236C2×#10621872C2311yescharacteristic
237C2×#10621872C2311yescharacteristic
238C2×C8×D43C2311yescharacteristic
239C2×C8×D43C2311yescharacteristic
240#13063324C2311yescharacteristic
241#13063323—21no—
242#13063322C2311yescharacteristic
243#13063321C2311yescharacteristic
244#13063320—21no—
245#13063320—21no—
246#13063318—21no—
247#13063317C2311yescharacteristic
248#13063316C2311yescharacteristic
249#13063315—21no—
250#13063314—21no—
251#13063314C2311yescharacteristic
252#13063311—21no—
253#13063311—21no—
254#13063310—21no—
255#13063310—21no—
256#13063310—21no—
257#13063310—21no—
258#13063309—21no—
259#13063307—21no—
260#13063307—21no—
261#13063307—21no—
262#13063305—21no—
263#13063303—21no—
264#13063301—21no—
265#13063301C2311yescharacteristic
266#13063300—21no—
267#13063300C2311yescharacteristic
268#13063300C2311yescharacteristic
269#13063299C2311yescharacteristic
270#13063299C2311yescharacteristic
271#13063298—21no—
272#13063298—21no—
273#13063298—21no—
274#13063298—21no—
275#13063298—21no—
276#13063298—21no—
277#13063297—21no—
278#13063297—21no—
279#13063296—21no—
280#13063296C2311yescharacteristic
281#13063295—21no—
282#13063295—21no—
283#13063295—21no—
284Q8×Dic43—21no—
285Q8×Dic43—21no—
286Q8×Dic43C2311yescharacteristic
287Q8×Dic43C2311yescharacteristic
288Q8×Dic43C2311yescharacteristic
289Q8×Dic43C2311yescharacteristic
290Q8×Dic43C2311yescharacteristic
291C4×D172—21no—
292C4×D172—21no—
293C4×D172—21no—
294C4×D172—21no—
295C4×D172—21no—
296C4×D172—21no—
297C4×D172—21no—
298C4×D172—21no—
299C4×D172—21no—
300C4×D172—21no—
301C4×D172—21no—
302C4×D172—21no—
303C4×D172C2311yescharacteristic
304C4×D172C2311yescharacteristic
305C4×D172C2311yescharacteristic
306C4×D172C2311yescharacteristic
307C4×D172C2311yescharacteristic
308C4×D172C2311yescharacteristic
309D4×Dic43C2311yescharacteristic
310#13063287—21no—
311#13063287—21no—
312#13063287—21no—
313#13063287—21no—
314#13063287—21no—
315#13063287—21no—
316#13063287—21no—
317#13063287—21no—
318#13063287—21no—
319#13063287—21no—
320#13063287—21no—
321#13063287—21no—
322#13063287—21no—
323#13063287C2311yescharacteristic
324#13063287C2311yescharacteristic
325#13063287C2311yescharacteristic
326#13063287C2311yescharacteristic
327#13063287C2311yescharacteristic
328#13063287C2311yescharacteristic
329C4×C22⋊D43—21no—
330C4×C22⋊D43—21no—
331(C22⋊D43)⋊C4—21no—
332(C22⋊D43)⋊C4—21no—
333(C22⋊D43)⋊C4—21no—
334#13063284—21no—
335#13063284—21no—
336#13063284C2311yescharacteristic
337#13063284C2311yescharacteristic
338#13063283—21no—
339#13063283—21no—
340#13063283—21no—
341#13063283—21no—
342#13063283D411yescharacteristic
343#13063283D411yescharacteristic
344#13063283C2311yescharacteristic
345#13063283C2311yescharacteristic
346#13063283C2311yescharacteristic
347#13063282—21no—
348#13063282—21no—
349#13063282—21no—
350#13063282—21no—
351#13063282—21no—
352#13063282—21no—
353#13063282—21no—
354#13063282C2311yescharacteristic
355#13063282C2311yescharacteristic
356#13063281—21no—
357#13063281—21no—
358#13063281D411yescharacteristic
359#13063281D411yescharacteristic
360C4⋊C4×D43—21no—
361C4⋊C4×D43—21no—
362C4⋊C4×D43—21no—
363C4⋊C4×D43—21no—
364C4⋊C4×D43—21no—
365C4⋊C4×D43D411yescharacteristic
366C4⋊C4×D43D411yescharacteristic
367C4⋊C4×D43C2311yescharacteristic
368C4⋊C4×D43C2311yescharacteristic
369C4⋊C4×D43C2311yescharacteristic
370C2×(C2×D43)⋊C4—21no—
371C22⋊C4×D43—21no—
372C22⋊C4×D43—21no—
373C22⋊C4×D43—21no—
374C22⋊C4×D43—21no—
375C22⋊C4×D43—21no—
376C22⋊C4×D43—21no—
377C22⋊C4×D43—21no—
378C22⋊C4×D43D411yescharacteristic
379C22⋊C4×D43D411yescharacteristic
380C42×D43—21no—
381C42×D43—21no—
382C42×D43—21no—
383C42×D43—21no—
384C42×D43—21no—
385C42×D43C2311yescharacteristic
386C42×D43C2311yescharacteristic
387#13063259C2311yescharacteristic
388#13063259C2311yescharacteristic
389#13063258C2311yescharacteristic
390#13063258C2311yescharacteristic
391#13063258C2311yescharacteristic
392#13063258C2311yescharacteristic
393#13063257C2311yescharacteristic
394#13063257C2311yescharacteristic
395#13063256C2311yescharacteristic
396#13063256C2311yescharacteristic
397#13063256C2311yescharacteristic
398#13063256C2311yescharacteristic
399C4⋊(C43⋊C8)C2311yescharacteristic
400C4⋊(C43⋊C8)C2311yescharacteristic
401Dic43⋊C8C2311yescharacteristic
402Dic43⋊C8C2311yescharacteristic
403Dic43⋊C8C2311yescharacteristic
404Dic43⋊C8C2311yescharacteristic
405#13063249C2311yescharacteristic
406#13063249C2311yescharacteristic
407#13063249C2311yescharacteristic
408#13063249C2311yescharacteristic
409#13063249C2311yescharacteristic
410#13063249C2311yescharacteristic
411#13063247C2311yescharacteristic
412#13063247C2311yescharacteristic
413#13063247C2311yescharacteristic
414#13063247C2311yescharacteristic
415#13063247C2311yescharacteristic
416#13063247C2311yescharacteristic
417#13063247C2311yescharacteristic
418#13063247C2311yescharacteristic
419#13063246C2311yescharacteristic
420#13063246C2311yescharacteristic
421#13063245C2311yescharacteristic
422#13063245C2311yescharacteristic
423#13063245C2311yescharacteristic
424#13063245C2311yescharacteristic
425#13063245C2311yescharacteristic
426#13063245C2311yescharacteristic
427#13063245C2311yescharacteristic
428#13063245C2311yescharacteristic
429C22⋊(C43⋊C8)C2311yescharacteristic
430C22⋊(C43⋊C8)C2311yescharacteristic
431(C2×D43)⋊C8C2311yescharacteristic
432(C2×D43)⋊C8C2311yescharacteristic
433(C2×D43)⋊C8C2311yescharacteristic
434(C2×D43)⋊C8C2311yescharacteristic
435#13063236C2311yescharacteristic
436#13063235C2311yescharacteristic
437#13063235C2311yescharacteristic
438C4×C43⋊C8C2311yescharacteristic
439C8×Dic43C2311yescharacteristic
440C8×Dic43C2311yescharacteristic
441C22×Q8×C43C2311yescharacteristic
442C2×Q16×C43C2311yescharacteristic
443C2×Q16×C43C2311yescharacteristic
444C2×SD16×C43C2311yescharacteristic
445C2×SD16×C43C2311yescharacteristic
446C4⋊Q8×C43C2311yescharacteristic
447#126×C43—21no—
448#124×C43—21no—
449#124×C43C2311yescharacteristic
450#123×C43—21no—
451C22⋊Q8×C43—21no—
452C22⋊Q8×C43C2311yescharacteristic
453#121×C43C2311yescharacteristic
454C4×Q8×C43—21no—
455C4×Q8×C43—21no—
456C4×Q8×C43C2311yescharacteristic
457C4×Q8×C43C2311yescharacteristic
458C4×Q8×C43C2311yescharacteristic
459C4×Q8×C43C2311yescharacteristic
460C4×Q8×C43C2311yescharacteristic
461C4×D4×C43C2311yescharacteristic
462#117×C43—21no—
463#117×C43—21no—
464#117×C43C2311yescharacteristic
465#117×C43C2311yescharacteristic
466#107×C43C2311yescharacteristic
467#107×C43C2311yescharacteristic
468#106×C43C2311yescharacteristic
469#106×C43C2311yescharacteristic
470C4⋊C8×C43C2311yescharacteristic
471C4⋊C8×C43C2311yescharacteristic
472#103×C43C2311yescharacteristic
473#103×C43C2311yescharacteristic
474#103×C43C2311yescharacteristic
475#103×C43C2311yescharacteristic
476#103×C43C2311yescharacteristic
477#103×C43C2311yescharacteristic
478#102×C43C2311yescharacteristic
479#102×C43C2311yescharacteristic
480C22⋊C8×C43C2311yescharacteristic
481C22⋊C8×C43C2311yescharacteristic
482#97×C43C2311yescharacteristic
483C4×C8×C43C2311yescharacteristic
484C23×D43—21no—
485C23×D43—21no—
486C23×D43C2×D411yescharacteristic
487C2×Q8×C43—22no—
488C2×Q8×C43—22no—
489C2×Q8×C43—21no—
490C2×Q8×C43—21no—
491C2×Q8×C43C2411yescharacteristic
492C2×Q8×C43C2411yescharacteristic
493C2×Q8×C43C2411yescharacteristic
494C2×D4×C43—21no—
495C2×D4×C43C2411yescharacteristic
496C22×C4×C43—21no—
497C22×C4×C43—21no—
498C22×C4×C43C2411yescharacteristic
499C2×C22⋊D43—21no—
500C2×C22⋊D43—21no—
501C2×C22⋊D43—21no—
502C2×C22⋊D43—21no—
503C2×C22⋊D43—21no—
504C2×C22⋊D43—21no—
505C22×Dic43—21no—
506C22×Dic43C2×D411yescharacteristic
507#10621902—28no—
508#10621902—28no—
509#10621902—22no—
510#10621902—22no—
511#10621902—22no—
512#10621902—22no—
513#10621902—22no—
514#10621902—22no—
515#10621902—22no—
516#10621902—22no—
517#10621902—82no—
518#10621902#4114yescomplemented
519#10621902#4114yescomplemented
520D4×D43—22no—
521D4×D43—22no—
522D4×D43—82no—
523#10621898—82no—
524C2×D172—28no—
525C2×D172—21no—
526C2×D172—22no—
527C2×D172—22no—
528C2×D172—21no—
529C2×D172—21no—
530C2×D172—21no—
531C2×D172—21no—
532C2×D172—21no—
533C2×D172—21no—
534C2×D172—21no—
535C2×D172—21no—
536C2×D172—21no—
537C2×D172C2411yescharacteristic
538C2×D172C2411yescharacteristic
539C2×D172C2411yescharacteristic
540C2×D172C2411yescharacteristic
541C2×C4×D43—28no—
542C2×C4×D43—21no—
543C2×C4×D43—21no—
544C2×C4×D43—21no—
545C2×C4×D43—21no—
546C2×C4×D43—22no—
547C2×C4×D43—22no—
548C2×C4×D43—21no—
549C2×C4×D43—21no—
550C2×C4×D43—21no—
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×C4×D43—21no—
560C2×C4×D43—21no—
561C2×C4×D43—21no—
562C2×C4×D43—21no—
563C2×C4×D43—21no—
564C2×C4×D43C2×D411yescharacteristic
565C2×C4×D43C2×D411yescharacteristic
566C2×C4×D43C2×D411yescharacteristic
567C2×C4×D43C2×D411yescharacteristic
568C2×C4×D43C2×D411yescharacteristic
569C2×C4×D43C2×D411yescharacteristic
570C2×C4×D43C2411yescharacteristic
571C2×C4×D43C2411yescharacteristic
572C2×Dic86—21no—
573Q16×C43—22no—
574Q16×C43—22no—
575SD16×C43—22no—
576SD16×C43—22no—
577C2×C8×C43C2411yescharacteristic
578C2×C8×C43C2411yescharacteristic
579C2×C8×C43C2411yescharacteristic
580C2×C8×C43C2411yescharacteristic
581C4⋊C4×C43—21no—
582C4⋊C4×C43—21no—
583C4⋊C4×C43—21no—
584C4⋊C4×C43—21no—
585C4⋊C4×C43—21no—
586C4⋊C4×C43—21no—
587C4⋊C4×C43—21no—
588C4⋊C4×C43C2×D411yescharacteristic
589C4⋊C4×C43C2×D411yescharacteristic
590C4⋊C4×C43C2411yescharacteristic
591C4⋊C4×C43C2411yescharacteristic
592C4⋊C4×C43C2411yescharacteristic
593C4⋊C4×C43C2411yescharacteristic
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
602C42×C43—21no—
603C42×C43—21no—
604C42×C43—21no—
605C42×C43—21no—
606C42×C43—21no—
607C42×C43—21no—
608C42×C43C2411yescharacteristic
609C42×C43C2411yescharacteristic
610C22⋊Dic43—21no—
611C22⋊Dic43—21no—
612C22⋊Dic43—21no—
613C22⋊Dic43C2×D411yescharacteristic
614C22⋊Dic43C2×D411yescharacteristic
615#10621884—22no—
616#10621884—22no—
617#10621884—22no—
618#10621884—22no—
619#10621884—22no—
620#10621884—22no—
621#10621882—22no—
622#10621882—22no—
623(C2×D43)⋊C4—21no—
624(C2×D43)⋊C4—21no—
625(C2×D43)⋊C4—21no—
626(C2×D43)⋊C4—21no—
627(C2×D43)⋊C4—21no—
628(C2×D43)⋊C4—21no—
629(C2×D43)⋊C4—21no—
630(C2×D43)⋊C4—21no—
631(C2×D43)⋊C4—21no—
632(C2×D43)⋊C4—21no—
633(C2×D43)⋊C4—21no—
634(C2×D43)⋊C4—21no—
635(C2×D43)⋊C4—21no—
636(C2×D43)⋊C4—21no—
637(C2×D43)⋊C4—21no—
638(C2×D43)⋊C4—21no—
639(C2×D43)⋊C4—21no—
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)⋊C4C2×D411yescharacteristic
646(C2×D43)⋊C4C2×D411yescharacteristic
647(C2×D43)⋊C4C2×D411yescharacteristic
648(C2×D43)⋊C4C2×D411yescharacteristic
649C4⋊Dic43—21no—
650C4⋊Dic43—21no—
651C4⋊Dic43—21no—
652C4⋊Dic43—21no—
653C4⋊Dic43—21no—
654C4⋊Dic43—21no—
655C4⋊Dic43C2×D411yescharacteristic
656C4⋊Dic43C2×D411yescharacteristic
657C4⋊Dic43C2411yescharacteristic
658C4⋊Dic43C2411yescharacteristic
659C4⋊Dic43C2411yescharacteristic
660C4⋊Dic43C2411yescharacteristic
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⋊C4C2×D411yescharacteristic
670Dic43⋊C4C2×D411yescharacteristic
671Dic43⋊C4C2×D411yescharacteristic
672Dic43⋊C4C2×D411yescharacteristic
673C4×Dic43—21no—
674C4×Dic43—21no—
675C4×Dic43—21no—
676C4×Dic43—21no—
677C4×Dic43—21no—
678C4×Dic43—21no—
679C4×Dic43—21no—
680C4×Dic43—21no—
681C4×Dic43—21no—
682C4×Dic43C2×D411yescharacteristic
683C4×Dic43C2×D411yescharacteristic
684C4×Dic43C2×D411yescharacteristic
685C4×Dic43C2×D411yescharacteristic
686C4×Dic43C2411yescharacteristic
687C4×Dic43C2411yescharacteristic
688C2×C43⋊C8C2411yescharacteristic
689C2×C43⋊C8C2411yescharacteristic
690C2×C43⋊C8C2411yescharacteristic
691C2×C43⋊C8C2411yescharacteristic
692D344—22no—
693D344—22no—
694D344—22no—
695D344—22no—
696#10621872—22no—
697#10621872—22no—
698C8×D43—22no—
699C8×D43—22no—
700C23×C43—21no—
701C23×C43C22×D411yescharacteristic
702C22×D43—21no—
703C22×D43—21no—
704C22×D43—24no—
705C22×D43—22no—
706C22×D43—21no—
707C22×D43—21no—
708C22×D43—41no—
709C22×D43—41no—
710C22×D43—42no—
711C22×D43—81no—
712C22×D43—81no—
713C22×D43—81no—
714C22×D43—81no—
715C22×D43C22×D411yescharacteristic
716C22×D43C22×D411yescharacteristic
717Q8×C43—24no—
718Q8×C43—21no—
719Q8×C43—21no—
720Q8×C43—21no—
721Q8×C43—21no—
722Q8×C43—81no—
723Q8×C43C2×#4112yes—
724Q8×C43C2×#4112yes—
725D4×C43—21no—
726D4×C43—21no—
727D4×C43—81no—
728C2×C4×C43—24no—
729C2×C4×C43—21no—
730C2×C4×C43—21no—
731C2×C4×C43—21no—
732C2×C4×C43—21no—
733C2×C4×C43—21no—
734C2×C4×C43—21no—
735C2×C4×C43—21no—
736C2×C4×C43—21no—
737C2×C4×C43—21no—
738C2×C4×C43—81no—
739C2×C4×C43C22×D411yescharacteristic
740C2×C4×C43C22×D411yescharacteristic
741C2×C4×C43C22×D411yescharacteristic
742C2×C4×C43C22×D411yescharacteristic
743C2×C4×C43C22×D411yescharacteristic
744C2×C4×C43C2511yescharacteristic
745C22⋊D43—42no—
746C22⋊D43—42no—
747C22⋊D43—81no—
748C22⋊D43—81no—
749C22⋊D43—81no—
750C22⋊D43—81no—
751C2×Dic43—22no—
752C2×Dic43—21no—
753C2×Dic43—21no—
754C2×Dic43—21no—
755C2×Dic43—21no—
756C2×Dic43—81no—
757C2×Dic43C22×D411yescharacteristic
758C2×Dic43C22×D411yescharacteristic
759C2×Dic43C22×D411yescharacteristic
760C2×Dic43C22×D411yescharacteristic
761C2×Dic43C22×D411yescharacteristic
762C2×Dic43C22×D411yescharacteristic
763D172—24no—
764D172—24no—
765D172—24no—
766D172—24no—
767D172—24no—
768D172—21no—
769D172—21no—
770D172—21no—
771D172—21no—
772D172—21no—
773D172—21no—
774D172—42no—
775D172—42no—
776D172—42no—
777D172—81no—
778D172—81no—
779D172C2×#4112yes—
780D172C2×#4112yes—
781C4×D43—24no—
782C4×D43—24no—
783C4×D43—22no—
784C4×D43—21no—
785C4×D43—21no—
786C4×D43—24no—
787C4×D43—24no—
788C4×D43—22no—
789C4×D43—41no—
790C4×D43—41no—
791C4×D43—41no—
792C4×D43—41no—
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—
802C4×D43—81no—
803C4×D43—81no—
804C4×D43—81no—
805C4×D43—81no—
806C4×D43—81no—
807C4×D43—81no—
808C4×D43—81no—
809C4×D43C2×#4112yes—
810C4×D43C2×#4112yes—
811Dic86—81no—
812C8×C43—21no—
813C8×C43—21no—
814C8×C43—21no—
815C8×C43—21no—
816C43⋊C8—21no—
817C43⋊C8—21no—
818C43⋊C8—21no—
819C43⋊C8—21no—
820#60587—431nomaximal, Sylow
821C22×C43—21no—
822C22×C43—21no—
823C22×C43—21no—
824C22×C43—41no—
825C22×C43—41no—
826C22×C43—41no—
827C22×C43C23×D411yescharacteristic
828C2×D43—21no—
829C2×D43—21no—
830C2×D43—21no—
831C2×D43—21no—
832C2×D43—22no—
833C2×D43—22no—
834C2×D43—21no—
835C2×D43—41no—
836C2×D43—41no—
837C2×D43—41no—
838C2×D43—41no—
839C2×D43—41no—
840C2×D43—41no—
841C2×D43—41no—
842C2×D43—41no—
843C2×D43—41no—
844C2×D43—41no—
845C2×D43—82no—
846C2×D43—84no—
847C2×D43—162no—
848C2×D43#52512yes—
849C4×C43—21no—
850C4×C43—21no—
851C4×C43—21no—
852C4×C43—21no—
853C4×C43—22no—
854C4×C43—22no—
855C4×C43—21no—
856C4×C43—41no—
857C4×C43—41no—
858C4×C43—41no—
859C4×C43—41no—
860C4×C43—41no—
861C4×C43C22×#4111yescharacteristic
862C4×C43C22×#4111yescharacteristic
863Dic43—21no—
864Dic43—21no—
865Dic43—21no—
866Dic43—21no—
867Dic43—21no—
868Dic43—41no—
869Dic43—41no—
870Dic43—41no—
871Dic43—41no—
872Dic43#52512yes—
873#3494—431no—
874#3428—431no—
875#3126—431no—
876#3126—431no—
877#3122—431no—
878#3122—431no—
879#3121—431no—
880#3121D4311yescharacteristic, complemented
881#3118—431no—
882#3118—431no—
883#3115—431no—
884#3115—431no—
885#3111—431no—
886#3111—431no—
887#3106—431no—
888#3106—431no—
889#3102—431no—
890#3102—431no—
891#3093—431no—
892C2×#482—431no—
893#3084—431no—
894#3083—431no—
895#3045—431no—
896#3045—431no—
897#3006—431no—
898#3002—431no—
899#2952—431no—
900#2951—431no—
901#2946—431no—
902#2946—431no—
903#2924—431no—
904C2×C43—41no—
905C2×C43—81no—
906C2×C43C2×#52511yescharacteristic
907C2×C43#358411yescharacteristic
908C2×C43#358511yescharacteristic
909D43—22no—
910D43—41no—
911D43—42no—
912D43—42no—
913D43—81no—
914D43—81no—
915C22×#41—431no—
916C2×AGL(1,ℤ/8)—431no—
917C2×AGL(1,ℤ/8)—431no—
918C2×#135—431no—
919C2×#135—431no—
920#555—861no—
921#553—861no—
922#553—861no—
923#551—861no—
924#551—861no—
925#547—861no—
926#546—861no—
927#546—861no—
928#544—431no—
929#542—431no—
930#542C2×D4311yescharacteristic
931#540—431no—
932#540—431no—
933#535—431no—
934#532—431no—
935#532—431no—
936#529—431no—
937#529—431no—
938#525—431no—
939C2×#121—431no—
940#520—431no—
941#520—431no—
942#520—431no—
943#520—431no—
944#520—431no—
945#520—861no—
946#520—861no—
947#519—431no—
948#519C2×D4311yescharacteristic, complemented
949#518—431no—
950#518—431no—
951#518—431no—
952#518—861no—
953#518—861no—
954C4×#41—431no—
955C4×#41—431no—
956C4×#41—431no—
957C4×#41—431no—
958C4×#41—861no—
959C4×#41—861no—
960C2×#117—431no—
961C2×#117—431no—
962C2×#117—861no—
963C2×#117—861no—
964#485—431no—
965#485—431no—
966#485—431no—
967#485C2×D4311yescharacteristic, complemented
968#482—431no—
969#482—431no—
970#482—431no—
971#482—431no—
972#482—431no—
973#482—431no—
974#482—431no—
975#482—431no—
976#482—431no—
977#482—431no—
978#482—431no—
979#482C2×D4311yescharacteristic
980#479—431no—
981#479—431no—
982#479—431no—
983#479—431no—
984#478—431no—
985#478—431no—
986#478—431no—
987#478—431no—
988#477—431no—
989#477C2×D4311yescharacteristic, complemented
990#476—431no—
991#476—431no—
992#475—431no—
993#475C2×D4311yescharacteristic, complemented
994#474—431no—
995#474—431no—
996#464—431no—
997#464—431no—
998#464C2×D4311yescharacteristic, complemented
999#464C2×D4311yescharacteristic, complemented
1000#463—431no—
1001#463—431no—
1002#463—431no—
1003#463—431no—
1004#460—431no—
1005#460—431no—
1006#460—431no—
1007#460—431no—
1008#459—431no—
1009#459—431no—
1010#459—431no—
1011#459—431no—
1012#452—431no—
1013#452—431no—
1014#451C2×D4311yescharacteristic, complemented
1015#450—431no—
1016#449—431no—
1017#449—431no—
1018#449—431no—
1019#449—431no—
1020#449—431no—
1021#449—431no—
1022#448—431no—
1023#448—431no—
1024#448C2×D4311yescharacteristic
1025#447—431no—
1026#447—431no—
1027#447—431no—
1028#442—431no—
1029#442—431no—
1030#442—431no—
1031#442—431no—
1032#442—431no—
1033#442—431no—
1034#441—431no—
1035#441C2×D4311yescharacteristic, complemented
1036#440—431no—
1037#440—431no—
1038#440—431no—
1039#440—431no—
1040#440—431no—
1041#440—431no—
1042#440—431no—
1043#440C2×D4311yescharacteristic, complemented
1044C4×Q16—431no—
1045C4×Q16C2×D4311yescharacteristic, complemented
1046C4×SD16—431no—
1047C4×SD16—431no—
1048C4×SD16—431no—
1049C4×SD16—431no—
1050C4×SD16—431no—
1051C4×SD16—431no—
1052C4×SD16—431no—
1053C4×SD16C2×D4311yescharacteristic, complemented
1054C4×D8—431no—
1055C4×D8—431no—
1056C4×D8—431no—
1057C4×D8—431no—
1058C4×D8—431no—
1059C4×D8—431no—
1060#433—431no—
1061#433—431no—
1062#433—431no—
1063#433C2×D4311yescharacteristic, complemented
1064#432—431no—
1065#432—431no—
1066#431—431no—
1067#431—431no—
1068#428—431no—
1069#428—431no—
1070C2×#107—431no—
1071C2×#106—431no—
1072#424—431no—
1073#424—431no—
1074#417—431no—
1075#417—431no—
1076#417—431no—
1077#417—431no—
1078#416—431no—
1079#416—431no—
1080C2×#102—431no—
1081C2×#102—431no—
1082#407—431no—
1083C2×C22⋊C8—431no—
1084#405—431no—
1085#405—431no—
1086C43#6058711yescharacteristic, complemented, Sylow
1087C2×#41—431no—
1088C2×#41—431no—
1089C2×#41—431no—
1090C2×#41—431no—
1091C2×#41—431no—
1092C2×#41—861no—
1093C2×#41—861no—
1094C2×#41—861no—
1095C2×#41—861no—
1096C2×#41—864no—
1097C2×#41—864no—
1098C22×Q8C22×D4311yescharacteristic
1099C22×D4—431no—
1100C22×D4—431no—
1101C22×D4—861no—
1102C22×D4—861no—
1103C23×C4—431no—
1104C23×C4—861no—
1105AGL(1,ℤ/8)—864no—
1106AGL(1,ℤ/8)—864no—
1107#135—864no—
1108#135—864no—
1109C2×Q16C22×D4311yescharacteristic
1110C2×Q16C22×D4311yescharacteristic
1111C2×SD16—431no—
1112C2×SD16—431no—
1113C2×SD16—431no—
1114C2×SD16—431no—
1115C2×SD16—431no—
1116C2×SD16—431no—
1117C2×SD16C22×D4311yescharacteristic
1118C2×SD16C22×D4311yescharacteristic
1119C2×D8—431no—
1120C2×D8—431no—
1121C2×D8—431no—
1122C2×D8—431no—
1123C2×D8—431no—
1124C2×D8—431no—
1125C2×M16—431no—
1126C2×M16—431no—
1127C22×C8—431no—
1128C22×C8—431no—
1129C4⋊Q8—431no—
1130C4⋊Q8—861no—
1131C4⋊Q8C22×D4311yescharacteristic
1132#127—431no—
1133#127—431no—
1134#126—21no—
1135#126—861no—
1136#126—861no—
1137#126—861no—
1138#125—431no—
1139#125—431no—
1140#125—861no—
1141#124—21no—
1142#124—431no—
1143#124—861no—
1144#124—861no—
1145#124—861no—
1146#124C22×D4311yescharacteristic
1147#123—21no—
1148#123—861no—
1149#123—861no—
1150#123—861no—
1151#123—861no—
1152#123—861no—
1153#123—861no—
1154#123—861no—
1155#123—861no—
1156C22⋊Q8—21no—
1157C22⋊Q8—431no—
1158C22⋊Q8—861no—
1159C22⋊Q8—861no—
1160C22⋊Q8—861no—
1161C22⋊Q8C22×D4311yescharacteristic
1162#121—431no—
1163#121—431no—
1164#121—431no—
1165#121—431no—
1166#121—431no—
1167#121—861no—
1168#121—861no—
1169#121—861no—
1170#121—861no—
1171#121—861no—
1172#121—861no—
1173#121—861no—
1174#121—861no—
1175#121—861no—
1176#121—861no—
1177#121C22×D4311yescharacteristic
1178#120—861no—
1179#120—861no—
1180#120—861no—
1181C4×Q8—21no—
1182C4×Q8—21no—
1183C4×Q8—431no—
1184C4×Q8—431no—
1185C4×Q8—431no—
1186C4×Q8—431no—
1187C4×Q8—431no—
1188C4×Q8—861no—
1189C4×Q8—861no—
1190C4×Q8C22×D4311yescharacteristic
1191C4×Q8C22×D4311yescharacteristic
1192C4×Q8C22×D4311yescharacteristic
1193C4×Q8C22×D4311yescharacteristic
1194C4×Q8C22×D4311yescharacteristic
1195C4×D4—431no—
1196C4×D4—431no—
1197C4×D4—431no—
1198C4×D4—431no—
1199C4×D4—431no—
1200C4×D4—431no—
1201C4×D4—431no—
1202C4×D4—431no—
1203C4×D4—431no—
1204C4×D4—431no—
1205C4×D4—431no—
1206C4×D4—431no—
1207C4×D4—431no—
1208C4×D4—861no—
1209C4×D4—861no—
1210C4×D4—861no—
1211C4×D4—861no—
1212C4×D4—861no—
1213C4×D4—861no—
1214C4×D4—861no—
1215C4×D4—861no—
1216C4×D4—861no—
1217C4×D4—861no—
1218C4×D4—861no—
1219C4×D4—861no—
1220C4×D4—861no—
1221C4×D4—861no—
1222C4×D4—861no—
1223C4×D4—861no—
1224C4×D4—861no—
1225C4×D4—861no—
1226C4×D4—861no—
1227C4×D4—861no—
1228C4×D4—861no—
1229C4×D4—861no—
1230C4×D4—861no—
1231C4×D4—861no—
1232C4×D4—861no—
1233C4×D4—861no—
1234C4×D4—861no—
1235C4×D4—861no—
1236C4×D4—861no—
1237C4×D4—861no—
1238C4×D4C22×D4311yescharacteristic
1239#117—21no—
1240#117—21no—
1241#117—431no—
1242#117—431no—
1243#117—431no—
1244#117—431no—
1245#117—431no—
1246#117—431no—
1247#117—431no—
1248#117—431no—
1249#117—431no—
1250#117—431no—
1251#117—431no—
1252#117—861no—
1253#117—861no—
1254#117—861no—
1255#117—861no—
1256#117—861no—
1257#117—861no—
1258#117—861no—
1259#117—861no—
1260#117—861no—
1261#117—861no—
1262#117—861no—
1263#117—861no—
1264#117—861no—
1265#117—861no—
1266#117—861no—
1267#117C22×D4311yescharacteristic
1268#117C22×D4311yescharacteristic
1269C2×C4⋊C4—431no—
1270C2×C4⋊C4—431no—
1271C2×C4⋊C4—431no—
1272C2×C4⋊C4—431no—
1273C2×C4⋊C4—431no—
1274C2×C4⋊C4—861no—
1275C2×C4⋊C4—861no—
1276C2×C4⋊C4—861no—
1277C2×C4⋊C4—861no—
1278C2×C4⋊C4—861no—
1279C2×C22⋊C4—431no—
1280C2×C22⋊C4—431no—
1281C2×C22⋊C4—861no—
1282C2×C22⋊C4—861no—
1283C2×C22⋊C4—861no—
1284C2×C22⋊C4—861no—
1285C2×C22⋊C4—861no—
1286C2×C22⋊C4—861no—
1287C2×C22⋊C4—861no—
1288C2×C22⋊C4—861no—
1289C2×C42—431no—
1290C2×C42—431no—
1291C2×C42—861no—
1292C2×C42—861no—
1293C2×C42—861no—
1294C2×C42—861no—
1295C2×C42—861no—
1296#107—431no—
1297#107—431no—
1298#107—431no—
1299#107—431no—
1300#107—431no—
1301#107—431no—
1302#107C22×D4311yescharacteristic
1303#107C22×D4311yescharacteristic
1304#106—431no—
1305#106—431no—
1306#106—431no—
1307#106—431no—
1308#106—431no—
1309#106—431no—
1310#106C22×D4311yescharacteristic
1311#106C22×D4311yescharacteristic
1312C4⋊C8—431no—
1313C4⋊C8—431no—
1314C4⋊C8—431no—
1315C4⋊C8—431no—
1316C4⋊C8—431no—
1317C4⋊C8—431no—
1318C4⋊C8C22×D4311yescharacteristic
1319C4⋊C8C22×D4311yescharacteristic
1320#103—431no—
1321#103—431no—
1322#103—431no—
1323#103—431no—
1324#103—431no—
1325#103—431no—
1326#103C22×D4311yescharacteristic
1327#103C22×D4311yescharacteristic
1328#103C22×D4311yescharacteristic
1329#103C22×D4311yescharacteristic
1330#103C22×D4311yescharacteristic
1331#103C22×D4311yescharacteristic
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—
1346#102—431no—
1347#102—431no—
1348#102—431no—
1349#102—431no—
1350#102C22×D4311yescharacteristic
1351#102C22×D4311yescharacteristic
1352C22⋊C8—431no—
1353C22⋊C8—431no—
1354C22⋊C8—431no—
1355C22⋊C8—431no—
1356C22⋊C8—431no—
1357C22⋊C8—431no—
1358C22⋊C8C22×D4311yescharacteristic
1359C22⋊C8C22×D4311yescharacteristic
1360#97—431no—
1361#97—431no—
1362#97—431no—
1363#97C22×D4311yescharacteristic
1364C4×C8—431no—
1365C4×C8—431no—
1366C4×C8—431no—
1367C4×C8C22×D4311yescharacteristic
1368C24—431no—
1369C24—861no—
1370C24—861no—
1371#41—434no—
1372#41—434no—
1373#41—862no—
1374#41—862no—
1375#41—862no—
1376#41—862no—
1377#41—862no—
1378#41—862no—
1379#41—868no—
1380#41—868no—
1381#41—862no—
1382#41—862no—
1383#41—3442no—
1384#41—3442no—
1385C2×Q8—22no—
1386C2×Q8—22no—
1387C2×Q8—21no—
1388C2×Q8—21no—
1389C2×Q8—861no—
1390C2×Q8C23×D4311yescharacteristic
1391C2×Q8C23×D4311yescharacteristic
1392C2×Q8C23×D4311yescharacteristic
1393C2×D4—21no—
1394C2×D4—431no—
1395C2×D4—431no—
1396C2×D4—431no—
1397C2×D4—431no—
1398C2×D4—862no—
1399C2×D4—862no—
1400C2×D4—861no—
1401C2×D4—861no—
1402C2×D4—861no—
1403C2×D4—861no—
1404C2×D4—868no—
1405C2×D4—861no—
1406C2×D4—861no—
1407C2×D4—861no—
1408C2×D4—862no—
1409C2×D4—862no—
1410C2×D4—861no—
1411C2×D4—861no—
1412C2×D4—861no—
1413C2×D4—861no—
1414C2×D4—861no—
1415C2×D4—861no—
1416C2×D4—861no—
1417C2×D4—861no—
1418C2×D4—861no—
1419C2×D4—3442no—
1420C2×D4C23×D4311yescharacteristic
1421C22×C4—21no—
1422C22×C4—21no—
1423C22×C4—431no—
1424C22×C4—431no—
1425C22×C4—431no—
1426C22×C4—431no—
1427C22×C4—431no—
1428C22×C4—431no—
1429C22×C4—431no—
1430C22×C4—431no—
1431C22×C4—431no—
1432C22×C4—861no—
1433C22×C4—861no—
1434C22×C4—861no—
1435C22×C4—861no—
1436C22×C4—862no—
1437C22×C4—862no—
1438C22×C4—861no—
1439C22×C4—861no—
1440C22×C4—861no—
1441C22×C4—861no—
1442C22×C4—861no—
1443C22×C4—861no—
1444C22×C4—861no—
1445C22×C4—868no—
1446C22×C4—861no—
1447C22×C4—861no—
1448C22×C4—861no—
1449C22×C4—861no—
1450C22×C4—861no—
1451C22×C4—861no—
1452C22×C4—861no—
1453C22×C4—861no—
1454C22×C4—861no—
1455C22×C4—861no—
1456C22×C4C23×D4311yescharacteristic
1457Q16—22no—
1458Q16—22no—
1459SD16—22no—
1460SD16—22no—
1461SD16—862no—
1462SD16—862no—
1463SD16—862no—
1464SD16—862no—
1465SD16—862no—
1466SD16—862no—
1467D8—862no—
1468D8—862no—
1469D8—862no—
1470D8—862no—
1471D8—862no—
1472D8—862no—
1473M16—862no—
1474M16—862no—
1475C2×C8—431no—
1476C2×C8—431no—
1477C2×C8—431no—
1478C2×C8—431no—
1479C2×C8—862no—
1480C2×C8—862no—
1481C2×C8C23×D4311yescharacteristic
1482C2×C8C23×D4311yescharacteristic
1483C2×C8C23×D4311yescharacteristic
1484C2×C8C23×D4311yescharacteristic
1485C4⋊C4—21no—
1486C4⋊C4—21no—
1487C4⋊C4—21no—
1488C4⋊C4—21no—
1489C4⋊C4—21no—
1490C4⋊C4—21no—
1491C4⋊C4—21no—
1492C4⋊C4—431no—
1493C4⋊C4—431no—
1494C4⋊C4—431no—
1495C4⋊C4—431no—
1496C4⋊C4—431no—
1497C4⋊C4—431no—
1498C4⋊C4—431no—
1499C4⋊C4—431no—
1500C4⋊C4—431no—
1501C4⋊C4—431no—
1502C4⋊C4—861no—
1503C4⋊C4—861no—
1504C4⋊C4—861no—
1505C4⋊C4—861no—
1506C4⋊C4—861no—
1507C4⋊C4—861no—
1508C4⋊C4—861no—
1509C4⋊C4—861no—
1510C4⋊C4—861no—
1511C4⋊C4—861no—
1512C4⋊C4—861no—
1513C4⋊C4—861no—
1514C4⋊C4—861no—
1515C4⋊C4—861no—
1516C4⋊C4D4×D4311yescharacteristic
1517C4⋊C4D4×D4311yescharacteristic
1518C4⋊C4C23×D4311yescharacteristic
1519C4⋊C4C23×D4311yescharacteristic
1520C4⋊C4C23×D4311yescharacteristic
1521C4⋊C4C23×D4311yescharacteristic
1522C22⋊C4—21no—
1523C22⋊C4—21no—
1524C22⋊C4—21no—
1525C22⋊C4—21no—
1526C22⋊C4—21no—
1527C22⋊C4—21no—
1528C22⋊C4—431no—
1529C22⋊C4—431no—
1530C22⋊C4—431no—
1531C22⋊C4—431no—
1532C22⋊C4—431no—
1533C22⋊C4—431no—
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⋊C4—861no—
1550C22⋊C4—861no—
1551C22⋊C4—861no—
1552C22⋊C4—861no—
1553C22⋊C4—861no—
1554C22⋊C4—861no—
1555C22⋊C4—861no—
1556C22⋊C4—861no—
1557C22⋊C4—861no—
1558C22⋊C4—861no—
1559C22⋊C4D4×D4311yescharacteristic
1560C22⋊C4D4×D4311yescharacteristic
1561C42—21no—
1562C42—21no—
1563C42—21no—
1564C42—21no—
1565C42—21no—
1566C42—21no—
1567C42—431no—
1568C42—431no—
1569C42—431no—
1570C42—431no—
1571C42—431no—
1572C42—431no—
1573C42—861no—
1574C42—861no—
1575C42—861no—
1576C42—861no—
1577C42—861no—
1578C42—861no—
1579C42—861no—
1580C42—861no—
1581C42—861no—
1582C42C23×D4311yescharacteristic
1583C42C23×D4311yescharacteristic
1584C23—21no—
1585C23—431no—
1586C23—431no—
1587C23—862no—
1588C23—864no—
1589C23—861no—
1590C23—861no—
1591C23—861no—
1592C23—861no—
1593C23—3441no—
1594C23—3441no—
1595C23—3441no—
1596C23—3441no—
1597C23—1721no—
1598C23—1721no—
1599C23—1722no—
1600C23C2×D4×D4311yescharacteristic
1601Q8—24no—
1602Q8—21no—
1603Q8—21no—
1604Q8—21no—
1605Q8—21no—
1606Q8—81no—
1607Q8—3441no—
1608Q8#41×D4312yes—
1609Q8#41×D4312yes—
1610D4—21no—
1611D4—21no—
1612D4—81no—
1613D4—432no—
1614D4—432no—
1615D4—864no—
1616D4—864no—
1617D4—864no—
1618D4—864no—
1619D4—864no—
1620D4—861no—
1621D4—861no—
1622D4—861no—
1623D4—861no—
1624D4—861no—
1625D4—861no—
1626D4—3441no—
1627D4—3441no—
1628D4—3441no—
1629D4—3441no—
1630D4—3441no—
1631D4—3441no—
1632D4—1722no—
1633D4—1722no—
1634D4—1722no—
1635D4—1722no—
1636D4—1722no—
1637C2×C4—24no—
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—21no—
1647C2×C4—81no—
1648C2×C4—431no—
1649C2×C4—432no—
1650C2×C4—432no—
1651C2×C4—431no—
1652C2×C4—431no—
1653C2×C4—431no—
1654C2×C4—431no—
1655C2×C4—431no—
1656C2×C4—862no—
1657C2×C4—864no—
1658C2×C4—864no—
1659C2×C4—862no—
1660C2×C4—864no—
1661C2×C4—864no—
1662C2×C4—862no—
1663C2×C4—861no—
1664C2×C4—861no—
1665C2×C4—861no—
1666C2×C4—861no—
1667C2×C4—861no—
1668C2×C4—861no—
1669C2×C4—3441no—
1670C2×C4—3441no—
1671C2×C4—3441no—
1672C2×C4—3441no—
1673C2×C4—3441no—
1674C2×C4—3441no—
1675C2×C4—3441no—
1676C2×C4—3441no—
1677C2×C4—3441no—
1678C2×C4—3441no—
1679C2×C4—3441no—
1680C2×C4—3441no—
1681C2×C4—3441no—
1682C2×C4—3441no—
1683C2×C4—3441no—
1684C2×C4—3441no—
1685C2×C4—1721no—
1686C2×C4—1721no—
1687C2×C4—1721no—
1688C2×C4—1721no—
1689C2×C4—1722no—
1690C2×C4C2×D4×D4311yescharacteristic
1691C2×C4C2×D4×D4311yescharacteristic
1692C2×C4C2×D4×D4311yescharacteristic
1693C2×C4C2×D4×D4311yescharacteristic
1694C2×C4C2×D4×D4311yescharacteristic
1695C2×C4C24×D4311yescharacteristic
1696C8—21no—
1697C8—21no—
1698C8—21no—
1699C8—21no—
1700C8—861no—
1701C8—861no—
1702C8—861no—
1703C8—861no—
1704C22—21no—
1705C22—21no—
1706C22—21no—
1707C22—41no—
1708C22—41no—
1709C22—41no—
1710C22—432no—
1711C22—861no—
1712C22—861no—
1713C22—861no—
1714C22—862no—
1715C22—862no—
1716C22—861no—
1717C22—861no—
1718C22—3442no—
1719C22—3444no—
1720C22—1721no—
1721C22—1721no—
1722C22—1721no—
1723C22—1721no—
1724C22—1721no—
1725C22—1721no—
1726C22—1721no—
1727C22—1721no—
1728C22—1721no—
1729C22—1721no—
1730C22—6882no—
1731C22C22×D4×D4311yescharacteristic
1732C4—21no—
1733C4—21no—
1734C4—22no—
1735C4—22no—
1736C4—21no—
1737C4—21no—
1738C4—21no—
1739C4—41no—
1740C4—41no—
1741C4—41no—
1742C4—41no—
1743C4—41no—
1744C4—432no—
1745C4—861no—
1746C4—861no—
1747C4—861no—
1748C4—861no—
1749C4—861no—
1750C4—1721no—
1751C4—1721no—
1752C4—1721no—
1753C4—1721no—
1754C4C2×#41×D4311yescharacteristic
1755C4C2×#41×D4311yescharacteristic
1756C2—41no—
1757C2—81no—
1758C2—862no—
1759C2—3441no—
1760C2—3441no—
1761C2—1721no—
1762C2—1722no—
1763C2—1722no—
1764C2#525×D4311yescharacteristic
1765C2#1914936511yescharacteristic
1766C2#1914937311yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3121C2
socleC22×C43C23×D4
hypercenter#3121D43
hypocenterC43#60587
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ #117 ◁ #3121

Complements

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

NH ≅ G/Ntype
1. #19148328C2semidirect
2. #19147797C2semidirect
3. #19144886C2semidirect
4. #19144880C2semidirect
5. #19144839C2semidirect
6. #19144834C2semidirect
7. #19144825C2semidirect
8. #19144782C2semidirect
9. #19144773C2semidirect
10. #19144749C2semidirect
11. #19144744C2semidirect
12. #19144710C2semidirect
13. #19144703C2semidirect
14. #19144658C2semidirect
15. #19144653C2semidirect
16. #19144619C2semidirect
17. #19144612C2semidirect
18. #19144527C2semidirect
19. #482×D43C2semidirect
20. #19144454C2semidirect
21. #19144443C2semidirect
22. #19144137C2semidirect
23. #19144137C2semidirect
24. #19143846C2semidirect
25. #19143818C2semidirect
26. #19143475C2semidirect
27. #19143470C2semidirect
28. #19143426C2semidirect
29. #19143422C2semidirect
30. #19143251C2semidirect
31. C43×#3121C2semidirect
45. #14583526C22semidirect
49. #14583467C22semidirect
50. #14583450C22semidirect
51. #14583446C22semidirect
52. #14583436C22semidirect
53. #14583428C22semidirect
62. #14583381C22semidirect
63. #14583377C22semidirect
66. #14583373C22semidirect
67. #14583373C22semidirect
68. #14583371C22semidirect
71. C4×#10621902C22semidirect
72. C4×#10621902C22semidirect
73. C4×#10621902C22semidirect
74. C4×#10621902C22semidirect
79. #14583239C22semidirect
80. #14583238C22semidirect
81. #14583237C22semidirect
82. #14583226C22semidirect
83. #14583226C22semidirect
84. #14583225C22semidirect
85. #14583225C22semidirect
87. #14583224C22semidirect
89. #14583223C22semidirect
90. #14583222C22semidirect
91. #14583221C22semidirect
93. #14583208C22semidirect
94. #14583206C22semidirect
95. #14583206C22semidirect
96. #14583204C22semidirect
97. #14583202C22semidirect
98. #14583200C22semidirect
99. #14583200C22semidirect
100. #14583198C22semidirect
101. #14583192C22semidirect
102. #14583188C22semidirect
103. #14583186C22semidirect
104. #14583182C22semidirect
105. #14583178C22semidirect
106. #14583176C22semidirect
107. #14583123C22semidirect
108. #14583123C22semidirect
109. #14583117C22semidirect
110. #14583117C22semidirect
111. #14583111C22semidirect
112. #14583111C22semidirect
113. #14583099C22semidirect
114. #14583099C22semidirect
115. #14583097C22semidirect
116. #14583097C22semidirect
117. #14583095C22semidirect
118. #14583095C22semidirect
119. #14583093C22semidirect
120. #14583093C22semidirect
121. #14583060C22semidirect
122. #14583060C22semidirect
123. #14583049C22semidirect
126. #14583047C22semidirect
127. #14583047C22semidirect
131. #14583038C22semidirect
133. #14583035C22semidirect
135. #14583012C22semidirect
136. #14583012C22semidirect
137. #14583010C22semidirect
138. #14583010C22semidirect
139. #14583009C22semidirect
140. #14583008C22semidirect
141. #14583006C22semidirect
142. #14583002C22semidirect
143. #14583002C22semidirect
144. #14583002C22semidirect
145. #14583000C22semidirect
146. #14582997C22semidirect
147. #14582997C22semidirect
148. #14582997C22semidirect
149. Q16×Dic43C22semidirect
150. SD16×Dic43C22semidirect
151. C4×#10621884C22semidirect
152. C4×#10621884C22semidirect
153. C4×#10621884C22semidirect
154. #14582984C22semidirect
155. #14582984C22semidirect
156. #14582984C22semidirect
157. C4×D344C22semidirect
158. C4×D344C22semidirect
159. #14582981C22semidirect
160. #14582981C22semidirect
161. C4×#10621882C22semidirect
162. #14582979C22semidirect
163. #14582960C22semidirect
164. #14582957C22semidirect
165. #14582957C22semidirect
166. #14582955C22semidirect
167. #14582954C22semidirect
168. #14582951C22semidirect
169. #14582950C22semidirect
170. #14582940C22semidirect
171. #14582938C22semidirect
172. #107×D43C22semidirect
173. #106×D43C22semidirect
174. #14582924C22semidirect
175. #14582924C22semidirect
178. #14582899C22semidirect
179. #14582899C22semidirect
182. #102×D43C22semidirect
183. #102×D43C22semidirect
186. #14582856C22semidirect
187. #14582853C22semidirect
189. C43×#519C22semidirect
190. C43×#485C22semidirect
192. C43×#477C22semidirect
193. C43×#475C22semidirect
194. C43×#464C22semidirect
195. C43×#464C22semidirect
196. C43×#451C22semidirect
198. C43×#441C22semidirect
199. C43×#440C22semidirect
200. C4×Q16×C43C22semidirect
201. C4×SD16×C43C22semidirect
202. C43×#433C22semidirect
518. #10621902#41semidirect
519. #10621902#41semidirect
880. #3121D43semidirect
948. #519C2×D43semidirect
967. #485C2×D43semidirect
989. #477C2×D43semidirect
993. #475C2×D43semidirect
998. #464C2×D43semidirect
999. #464C2×D43semidirect
1014. #451C2×D43semidirect
1035. #441C2×D43semidirect
1043. #440C2×D43semidirect
1045. C4×Q16C2×D43semidirect
1053. C4×SD16C2×D43semidirect
1063. #433C2×D43semidirect
1086. C43#60587semidirect

Maximal subgroups

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

subgroupindex
#191483282
#191477972
#191448862
#191448802
#191448392
#191448342
#191448252
#191447822
#191447732
#191447492
#191447442
#191447102
#191447032
#191446582
#191446532
#191446192
#191446122
#191445272
#482×D432
#191444542
#191444432
#191441372
#191438462
#191438182
#191434752
#191434702
#191434262
#191434222
#191432512
C43×#31212
#6058743