Finite Group Databasebeta

← #25974920

Subgroups — #25974920

Order 11008.

2082 conjugacy classes of subgroups.

The subgroup lattice has 1834 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19148445C211yesmaximal, characteristic, complemented
2#19148363C211yesmaximal, characteristic, complemented
3#19146788C211yesmaximal, characteristic, complemented
4#19146786C211yesmaximal, characteristic, complemented
5#19146783C211yesmaximal, characteristic, complemented
6#19146781C211yesmaximal, characteristic, complemented
7#19146764C211yesmaximal, characteristic, complemented
8#19146762C211yesmaximal, characteristic, complemented
9#19146761C211yesmaximal, characteristic, complemented
10#19146759C211yesmaximal, characteristic, complemented
11#19146607C211yesmaximal, characteristic, complemented
12#19146605C211yesmaximal, characteristic, complemented
13#19146604C211yesmaximal, characteristic, complemented
14#19146602C211yesmaximal, characteristic, complemented
15#19146585C211yesmaximal, characteristic, complemented
16#19146583C211yesmaximal, characteristic, complemented
17#19146580C211yesmaximal, characteristic, complemented
18#19144937C211yesmaximal, characteristic, complemented
19#19144574C211yesmaximal, characteristic, complemented
20#19144568C211yesmaximal, characteristic, complemented
21#19144401C211yesmaximal, characteristic, complemented
22#19144274C211yesmaximal, characteristic, complemented
23#19144270C211yesmaximal, characteristic, complemented
24#19144057C211yesmaximal, characteristic, complemented
25#19143878C211yesmaximal, characteristic, complemented
26#19143876C211yesmaximal, characteristic, complemented
27#440×D43C211yesmaximal, characteristic, complemented
28#19143309C211yesmaximal, characteristic, complemented
29#19143126C211yesmaximal, characteristic, complemented
30#19143123C211yesmaximal, characteristic, complemented
31C43×#3308C211yesmaximal, characteristic, complemented
32C2×#13063373C2211yescharacteristic
33C2×#13063372C2211yescharacteristic
34C2×#13063352C2211yescharacteristic
35C2×#13063349C2211yescharacteristic
36C2×SD16×D43C2211yescharacteristic
37C2×#13063333C2211yescharacteristic
38C2×#13063331C2211yescharacteristic
39#14583633—21no—
40#14583633—21no—
41#14583620—21no—
42#14583614C2211yescharacteristic
43#14583614C2211yescharacteristic
44#14583597C2211yescharacteristic
45#14583597C2211yescharacteristic
46#14583596C2211yescharacteristic
47#14583596C2211yescharacteristic
48#14583568—21no—
49#14583568C2211yescharacteristic, complemented
50#14583567—21no—
51#14583567C2211yescharacteristic, complemented
52Q8×C22⋊D43C2211yescharacteristic, complemented
53#14583562—21no—
54#14583562C2211yescharacteristic, complemented
55#14583561C2211yescharacteristic, complemented
56#14583558—21no—
57#14583558C2211yescharacteristic, complemented
58#14583557—21no—
59#14583557C2211yescharacteristic, complemented
60#14583552C2211yescharacteristic
61#14583485—21no—
62#14583485—21no—
63#14583479—21no—
64#14583479C2211yescharacteristic
65#14583478—21no—
66#14583478C2211yescharacteristic
67#14583465C2211yescharacteristic
68#14583465C2211yescharacteristic
69#14583454C2211yescharacteristic
70#14583448—21no—
71#14583448C2211yescharacteristic
72#14583446—21no—
73#14583446C2211yescharacteristic
74#14583412—21no—
75#14583406—21no—
76#14583380C2211yescharacteristic
77#14583380C2211yescharacteristic
78C4×Q8×D43C2211yescharacteristic
79C4×D4×D43C2211yescharacteristic
80#14583266C2211yescharacteristic, complemented
81#14583266C2211yescharacteristic, complemented
82#14583262C2211yescharacteristic, complemented
83#14583262C2211yescharacteristic, complemented
84#14583261C2211yescharacteristic, complemented
85#14583259C2211yescharacteristic, complemented
86#14583258C2211yescharacteristic, complemented
87#14583242C2211yescharacteristic, complemented
88#14583241C2211yescharacteristic, complemented
89#14583238C2211yescharacteristic, complemented
90#14583237C2211yescharacteristic, complemented
91#14583236C2211yescharacteristic, complemented
92#14583234C2211yescharacteristic, complemented
93#14583233C2211yescharacteristic, complemented
94#14583226C2211yescharacteristic, complemented
95#14583224C2211yescharacteristic, complemented
96#14583222C2211yescharacteristic, complemented
97#14583220C2211yescharacteristic, complemented
98#14583214C2211yescharacteristic, complemented
99#14583212C2211yescharacteristic, complemented
100#14583211C2211yescharacteristic, complemented
101#14583205C2211yescharacteristic, complemented
102#14583205C2211yescharacteristic, complemented
103#14583204C2211yescharacteristic, complemented
104#14583204C2211yescharacteristic, complemented
105#14583191C2211yescharacteristic, complemented
106#14583185C2211yescharacteristic, complemented
107#14583184C2211yescharacteristic, complemented
108#14583152C2211yescharacteristic
109#14583151C2211yescharacteristic
110#14583150C2211yescharacteristic
111#14583149C2211yescharacteristic
112#14583148C2211yescharacteristic
113#14583146C2211yescharacteristic
114#14583143C2211yescharacteristic
115#14583136C2211yescharacteristic
116#14583134C2211yescharacteristic
117#14583133C2211yescharacteristic
118#14583130C2211yescharacteristic
119#14583128C2211yescharacteristic
120#14583127C2211yescharacteristic
121#14583125C2211yescharacteristic
122#14583115C2211yescharacteristic
123#14583114C2211yescharacteristic
124#14583111C2211yescharacteristic
125#14583103C2211yescharacteristic
126#14583102C2211yescharacteristic
127#14583093C2211yescharacteristic
128#14583092C2211yescharacteristic
129#14583047C2211yescharacteristic
130#14583046C2211yescharacteristic
131#14583045C2211yescharacteristic
132#14583044C2211yescharacteristic
133#14583043C2211yescharacteristic
134#14583042C2211yescharacteristic
135#14583041C2211yescharacteristic
136#14583040C2211yescharacteristic
137#14583039C2211yescharacteristic
138#14583039C2211yescharacteristic
139#14583038C2211yescharacteristic
140#14583037C2211yescharacteristic
141#14583036C2211yescharacteristic
142#14583036C2211yescharacteristic
143#14583002C2211yescharacteristic
144#14583001C2211yescharacteristic
145#14583000C2211yescharacteristic
146#14582999C2211yescharacteristic
147#14582998C2211yescharacteristic
148#14582997C2211yescharacteristic
149#14582996C2211yescharacteristic
150#14582973C2211yescharacteristic, complemented
151#14582972C2211yescharacteristic, complemented
152#14582971C2211yescharacteristic, complemented
153#14582970C2211yescharacteristic, complemented
154#14582969C2211yescharacteristic, complemented
155#14582968C2211yescharacteristic, complemented
156#14582967C2211yescharacteristic, complemented
157#14582940C2211yescharacteristic
158#14582940C2211yescharacteristic
159#107×D43C2211yescharacteristic
160#14582921C2211yescharacteristic
161#14582909C2211yescharacteristic, complemented
162#14582908C2211yescharacteristic, complemented
163#14582906C2211yescharacteristic
164#14582906C2211yescharacteristic
165#14582906C2211yescharacteristic, complemented
166#14582906C2211yescharacteristic, complemented
167#14582899C2211yescharacteristic
168#14582899C2211yescharacteristic, complemented
169#14582898C2211yescharacteristic, complemented
170#14582897C2211yescharacteristic
171#14582897C2211yescharacteristic, complemented
172#14582896C2211yescharacteristic, complemented
173#14582895C2211yescharacteristic, complemented
174#14582894C2211yescharacteristic
175#14582894C2211yescharacteristic
176#14582894C2211yescharacteristic, complemented
177#14582892C2211yescharacteristic
178#14582892C2211yescharacteristic
179#14582892C2211yescharacteristic, complemented
180C2×#13063248C2211yescharacteristic, complemented
181#103×D43C2211yescharacteristic
182#103×D43C2211yescharacteristic, complemented
183#103×D43C2211yescharacteristic, complemented
184#102×D43C2211yescharacteristic
185#14582864C2211yescharacteristic
186#14582864C2211yescharacteristic
187#97×D43C2211yescharacteristic
188C43×#548C2211yescharacteristic, complemented
189C43×#547C2211yescharacteristic
190C43×#489C2211yescharacteristic, complemented
191C43×#484C2211yescharacteristic, complemented
192C43×#480C2211yescharacteristic, complemented
193C43×#477C2211yescharacteristic, complemented
194C43×#468C2211yescharacteristic
195C43×#466C2211yescharacteristic
196C43×#463C2211yescharacteristic
197C43×#449C2211yescharacteristic
198C43×#448C2211yescharacteristic
199C43×#440C2211yescharacteristic
200C43×#435C2211yescharacteristic, complemented
201C43×#417C2211yescharacteristic, complemented
202C2×#103×C43C2211yescharacteristic, complemented
203#13063373—24no—
204#13063373—42no—
205#13063372—24no—
206#13063372—42no—
207C2×#10621902—21no—
208C2×#10621902—21no—
209C2×#10621902C2311yescharacteristic
210C2×#10621902C2311yescharacteristic
211C2×#10621898—21no—
212C2×#10621898—21no—
213C2×#10621898—21no—
214C2×#10621898C2311yescharacteristic
215C2×#10621898C2311yescharacteristic
216C2×#10621898C2311yescharacteristic
217C2×#10621900—21no—
218C2×#10621900—21no—
219C2×#10621900C2311yescharacteristic
220C2×#10621900C2311yescharacteristic
221C22×Dic86—21no—
222C22×Dic86C2311yescharacteristic
223C2×Q8×D43—21no—
224C2×Q8×D43C2311yescharacteristic
225C2×Q8×D43C2311yescharacteristic
226C2×Q8×D43C2311yescharacteristic
227C2×D4×D43C2311yescharacteristic
228C22×C4×D43—21no—
229#13063352—42no—
230#13063349—42no—
231C2×#10621873C2311yescharacteristic
232C2×#10621873C2311yescharacteristic
233C2×#10621883C2311yescharacteristic
234C2×#10621883C2311yescharacteristic
235C2×#10621884C2311yescharacteristic
236C2×#10621884C2311yescharacteristic
237SD16×D43—24no—
238C2×D344C2311yescharacteristic
239C2×#10621882C2311yescharacteristic
240C2×#10621882C2311yescharacteristic
241#13063333—42no—
242#13063331—42no—
243C2×#10621877C2311yescharacteristic
244C2×#10621872C2311yescharacteristic
245C2×#10621872C2311yescharacteristic
246C2×#10621872C2311yescharacteristic
247C2×#10621872C2311yescharacteristic
248C22×C43⋊C8C2311yescharacteristic
249C2×C8×D43C2311yescharacteristic
250C2×C8×D43C2311yescharacteristic
251C2×C8×D43C2311yescharacteristic
252C2×C8×D43C2311yescharacteristic
253#13063325C2311yescharacteristic
254#13063324—21no—
255#13063324D411yescharacteristic
256#13063323—21no—
257#13063323C2311yescharacteristic
258#13063321—21no—
259#13063321—21no—
260#13063321—21no—
261#13063321—21no—
262#13063321D411yescharacteristic
263#13063321C2311yescharacteristic
264#13063320—21no—
265#13063320—21no—
266#13063318—21no—
267#13063318—21no—
268#13063316C2311yescharacteristic
269#13063316C2311yescharacteristic
270#13063313—21no—
271#13063313C2311yescharacteristic
272#13063311—21no—
273#13063311—21no—
274#13063311—21no—
275#13063311—21no—
276#13063311—21no—
277#13063311—21no—
278#13063311—21no—
279#13063311—21no—
280#13063311D411yescharacteristic
281#13063311D411yescharacteristic
282#13063310—21no—
283#13063310—21no—
284#13063310—21no—
285#13063310—21no—
286#13063306—21no—
287#13063306—21no—
288#13063305—21no—
289#13063305—21no—
290#13063305C2311yescharacteristic
291#13063304—21no—
292#13063304C2311yescharacteristic
293#13063303—21no—
294#13063303—21no—
295#13063303—21no—
296#13063302—21no—
297#13063302—21no—
298#13063302—21no—
299#13063301—21no—
300#13063301—21no—
301#13063301—21no—
302#13063301C2311yescharacteristic
303#13063300—21no—
304#13063300—21no—
305#13063300D411yescharacteristic
306#13063300C2311yescharacteristic
307#13063300C2311yescharacteristic
308#13063300C2311yescharacteristic
309#13063299—21no—
310#13063299—21no—
311#13063299—21no—
312#13063299—21no—
313#13063299C2311yescharacteristic
314#13063299C2311yescharacteristic
315#13063299C2311yescharacteristic
316#13063298—21no—
317#13063298—21no—
318#13063298—21no—
319#13063298—21no—
320#13063298—21no—
321#13063298—21no—
322#13063298—21no—
323#13063298D411yescharacteristic
324#13063298D411yescharacteristic
325#13063297—21no—
326#13063297—21no—
327#13063297—21no—
328#13063296—21no—
329#13063296—21no—
330#13063296—21no—
331#13063296—21no—
332#13063296—21no—
333#13063296D411yescharacteristic
334#13063296C2311yescharacteristic
335#13063296C2311yescharacteristic
336#13063296C2311yescharacteristic
337#13063295—21no—
338#13063295—21no—
339#13063293—21no—
340#13063293—21no—
341Q8×Dic43—21no—
342Q8×Dic43C2311yescharacteristic
343C4×Dic86—21no—
344C4×Dic86C2311yescharacteristic
345#13063290—21no—
346#13063290—21no—
347#13063290—21no—
348#13063290—21no—
349#13063290C2311yescharacteristic
350C4×D172—21no—
351C4×D172C2311yescharacteristic
352C4×D172C2311yescharacteristic
353D4×Dic43C2311yescharacteristic
354#13063287—21no—
355#13063287—21no—
356#13063287C2311yescharacteristic
357C4×C22⋊D43—21no—
358C4×C22⋊D43—21no—
359C4×C22⋊D43—21no—
360C4×C22⋊D43—21no—
361C4×C22⋊D43—21no—
362C4×C22⋊D43—21no—
363C4×C22⋊D43—21no—
364C4×C22⋊D43—21no—
365C4×C22⋊D43—21no—
366C4×C22⋊D43C2311yescharacteristic
367C4×C22⋊D43C2311yescharacteristic
368(C22⋊D43)⋊C4—21no—
369(C22⋊D43)⋊C4—21no—
370(C22⋊D43)⋊C4—21no—
371(C22⋊D43)⋊C4—21no—
372(C22⋊D43)⋊C4—21no—
373(C22⋊D43)⋊C4—21no—
374(C22⋊D43)⋊C4—21no—
375(C22⋊D43)⋊C4—21no—
376(C22⋊D43)⋊C4—21no—
377#13063284—21no—
378#13063284C2311yescharacteristic
379#13063284C2311yescharacteristic
380#13063283—21no—
381#13063283C2311yescharacteristic
382#13063283C2311yescharacteristic
383#13063283C2311yescharacteristic
384#13063283C2311yescharacteristic
385C4⋊C4×D43—21no—
386C4⋊C4×D43C2311yescharacteristic
387C4⋊C4×D43C2311yescharacteristic
388C4⋊C4×D43C2311yescharacteristic
389C4⋊C4×D43C2311yescharacteristic
390C22⋊C4×D43—21no—
391C42×D43—21no—
392C42×D43C2311yescharacteristic
393#13063259C2311yescharacteristic
394#13063258C2311yescharacteristic
395#13063258C2311yescharacteristic
396#13063258C2311yescharacteristic
397#13063258C2311yescharacteristic
398#13063257C2311yescharacteristic
399#13063257C2311yescharacteristic
400#13063256C2311yescharacteristic
401#13063256C2311yescharacteristic
402C4⋊(C43⋊C8)C2311yescharacteristic
403Dic43⋊C8C2311yescharacteristic
404Dic43⋊C8C2311yescharacteristic
405#13063250C2311yescharacteristic
406#13063250C2311yescharacteristic
407#13063250C2311yescharacteristic
408#13063250C2311yescharacteristic
409#13063250C2311yescharacteristic
410#13063250C2311yescharacteristic
411#13063249C2311yescharacteristic
412#13063249C2311yescharacteristic
413#13063249C2311yescharacteristic
414#13063249C2311yescharacteristic
415#13063249C2311yescharacteristic
416#13063249C2311yescharacteristic
417#13063248C2311yescharacteristic
418#13063248C2311yescharacteristic
419#13063248C2311yescharacteristic
420#13063248C2311yescharacteristic
421#13063248C2311yescharacteristic
422#13063248C2311yescharacteristic
423#13063247C2311yescharacteristic
424#13063247C2311yescharacteristic
425#13063247C2311yescharacteristic
426#13063247C2311yescharacteristic
427#13063246C2311yescharacteristic
428#13063246C2311yescharacteristic
429#13063246C2311yescharacteristic
430#13063246C2311yescharacteristic
431#13063245C2311yescharacteristic
432#13063245C2311yescharacteristic
433#13063245C2311yescharacteristic
434#13063245C2311yescharacteristic
435C22⋊(C43⋊C8)C2311yescharacteristic
436C22⋊(C43⋊C8)C2311yescharacteristic
437(C2×D43)⋊C8C2311yescharacteristic
438(C2×D43)⋊C8C2311yescharacteristic
439(C2×D43)⋊C8C2311yescharacteristic
440(C2×D43)⋊C8C2311yescharacteristic
441#13063236C2311yescharacteristic
442#13063235C2311yescharacteristic
443#13063235C2311yescharacteristic
444C2×#41×C43—21no—
445C2×#41×C43C2311yescharacteristic
446C22×Q8×C43C2311yescharacteristic
447C2×SD16×C43C2311yescharacteristic
448C2×SD16×C43C2311yescharacteristic
449C2×D8×C43C2311yescharacteristic
450C2×M16×C43C2311yescharacteristic
451C22×C8×C43C2311yescharacteristic
452C4⋊Q8×C43C2311yescharacteristic
453#124×C43—21no—
454#124×C43C2311yescharacteristic
455#123×C43—21no—
456#123×C43—21no—
457C22⋊Q8×C43—21no—
458C22⋊Q8×C43—21no—
459C22⋊Q8×C43C2311yescharacteristic
460#121×C43—21no—
461#121×C43C2311yescharacteristic
462#121×C43C2311yescharacteristic
463#121×C43C2311yescharacteristic
464C4×Q8×C43C2311yescharacteristic
465C4×D4×C43—21no—
466C4×D4×C43C2311yescharacteristic
467C4×D4×C43C2311yescharacteristic
468C2×C4⋊C4×C43C2311yescharacteristic
469C2×C4⋊C4×C43C2311yescharacteristic
470#107×C43C2311yescharacteristic
471#107×C43C2311yescharacteristic
472#107×C43C2311yescharacteristic
473C4⋊C8×C43C2311yescharacteristic
474#103×C43C2311yescharacteristic
475#103×C43C2311yescharacteristic
476#103×C43C2311yescharacteristic
477#103×C43C2311yescharacteristic
478#103×C43C2311yescharacteristic
479#103×C43C2311yescharacteristic
480#102×C43C2311yescharacteristic
481#102×C43C2311yescharacteristic
482#102×C43C2311yescharacteristic
483#102×C43C2311yescharacteristic
484C22⋊C8×C43C2311yescharacteristic
485C22⋊C8×C43C2311yescharacteristic
486#97×C43C2311yescharacteristic
487C23×D43—21no—
488#41×C43—22no—
489#41×C43—41no—
490#41×C43—82no—
491C2×Q8×C43—21no—
492C2×Q8×C43—21no—
493C2×Q8×C43—22no—
494C2×Q8×C43—41no—
495C2×Q8×C43C2411yescharacteristic
496C2×Q8×C43C2411yescharacteristic
497C2×D4×C43—21no—
498C2×D4×C43—21no—
499C2×D4×C43—21no—
500C2×D4×C43—21no—
501C2×D4×C43C2×D411yescharacteristic
502C2×D4×C43C2411yescharacteristic
503C2×D4×C43C2411yescharacteristic
504C22×C4×C43—21no—
505C22×C4×C43—21no—
506C22×C4×C43—21no—
507C22×C4×C43—21no—
508C22×C4×C43—21no—
509C22×C4×C43C2411yescharacteristic
510C22×C4×C43C2411yescharacteristic
511C2×C22⋊D43—21no—
512C2×C22⋊D43—21no—
513C2×C22⋊D43—21no—
514C2×C22⋊D43—21no—
515C2×C22⋊D43—21no—
516C2×C22⋊D43—21no—
517C2×C22⋊D43—21no—
518C2×C22⋊D43—21no—
519C2×C22⋊D43—21no—
520C2×C22⋊D43—21no—
521C2×C22⋊D43—21no—
522C2×C22⋊D43—21no—
523C2×C22⋊D43C2×D411yescharacteristic
524C2×C22⋊D43C2×D411yescharacteristic
525C2×C22⋊D43C2×D411yescharacteristic
526C2×C22⋊D43C2×D411yescharacteristic
527C2×C22⋊D43C2×D411yescharacteristic
528C2×C22⋊D43C2×D411yescharacteristic
529C22×Dic43—21no—
530C22×Dic43—21no—
531C22×Dic43—21no—
532C22×Dic43—21no—
533#10621902—22no—
534#10621902—22no—
535#10621902—22no—
536#10621902—41no—
537#10621902—44no—
538#10621902—82no—
539Q8×D43—22no—
540Q8×D43—22no—
541Q8×D43—22no—
542Q8×D43—44no—
543Q8×D43—41no—
544Q8×D43—41no—
545Q8×D43#4114yescomplemented
546#10621900—22no—
547#10621900—22no—
548#10621900—22no—
549#10621900—41no—
550#10621900—44no—
551#10621900—44no—
552D4×D43—22no—
553D4×D43—22no—
554#10621898—22no—
555#10621898—22no—
556#10621898—22no—
557#10621898—22no—
558#10621898—22no—
559#10621898—41no—
560#10621898—44no—
561#10621898—44no—
562#10621898—44no—
563C2×D172—21no—
564C2×D172—21no—
565C2×D172—21no—
566C2×D172—21no—
567C2×D172—21no—
568C2×D172C2×D411yescharacteristic
569C2×D172C2×D411yescharacteristic
570C2×D172C2×D411yescharacteristic
571C2×D172C2411yescharacteristic
572C2×D172C2411yescharacteristic
573C2×C4×D43—21no—
574C2×C4×D43—21no—
575C2×C4×D43—21no—
576C2×C4×D43—21no—
577C2×C4×D43—21no—
578C2×C4×D43—21no—
579C2×C4×D43—21no—
580C2×C4×D43—21no—
581C2×C4×D43—21no—
582C2×C4×D43—21no—
583C2×C4×D43—21no—
584C2×C4×D43—21no—
585C2×C4×D43—82no—
586C2×C4×D43C2×D411yescharacteristic
587C2×C4×D43C2×D411yescharacteristic
588C2×C4×D43C2411yescharacteristic
589C2×C4×D43C2411yescharacteristic
590C2×C4×D43C2411yescharacteristic
591C2×Dic86—21no—
592C2×Dic86—22no—
593C2×Dic86—21no—
594C2×Dic86—21no—
595C2×Dic86—21no—
596C2×Dic86—21no—
597C2×Dic86—41no—
598C2×Dic86—44no—
599C2×Dic86C2×D411yescharacteristic
600C2×Dic86C2×D411yescharacteristic
601C2×Dic86C2411yescharacteristic
602C2×Dic86C2411yescharacteristic
603SD16×C43—22no—
604SD16×C43—41no—
605D8×C43—41no—
606M16×C43—41no—
607C2×C8×C43—41no—
608C2×C8×C43C2411yescharacteristic
609C2×C8×C43C2411yescharacteristic
610C2×C8×C43C2411yescharacteristic
611C2×C8×C43C2411yescharacteristic
612C4⋊C4×C43—21no—
613C4⋊C4×C43—21no—
614C4⋊C4×C43—21no—
615C4⋊C4×C43—21no—
616C4⋊C4×C43—21no—
617C4⋊C4×C43C2×D411yescharacteristic
618C4⋊C4×C43C2411yescharacteristic
619C4⋊C4×C43C2411yescharacteristic
620C4⋊C4×C43C2411yescharacteristic
621C4⋊C4×C43C2411yescharacteristic
622C22⋊C4×C43—21no—
623C22⋊C4×C43—21no—
624C22⋊C4×C43—21no—
625C22⋊C4×C43—21no—
626C22⋊C4×C43—21no—
627C22⋊C4×C43—21no—
628C22⋊C4×C43—21no—
629C22⋊C4×C43C2×D411yescharacteristic
630C22⋊C4×C43C2×D411yescharacteristic
631C42×C43—21no—
632C42×C43C2411yescharacteristic
633C22⋊Dic43—21no—
634C22⋊Dic43—21no—
635C22⋊Dic43—21no—
636C22⋊Dic43—21no—
637C22⋊Dic43—21no—
638C22⋊Dic43—21no—
639C22⋊Dic43—21no—
640C22⋊Dic43C2×D411yescharacteristic
641C22⋊Dic43C2×D411yescharacteristic
642#10621884—22no—
643#10621884—41no—
644#10621883—22no—
645#10621883—41no—
646#10621882—41no—
647#10621882—41no—
648(C2×D43)⋊C4—21no—
649(C2×D43)⋊C4—21no—
650(C2×D43)⋊C4—21no—
651(C2×D43)⋊C4—21no—
652(C2×D43)⋊C4—21no—
653(C2×D43)⋊C4—21no—
654(C2×D43)⋊C4—21no—
655(C2×D43)⋊C4—21no—
656(C2×D43)⋊C4—21no—
657(C2×D43)⋊C4—21no—
658(C2×D43)⋊C4—21no—
659(C2×D43)⋊C4—21no—
660(C2×D43)⋊C4—21no—
661(C2×D43)⋊C4—21no—
662(C2×D43)⋊C4—21no—
663(C2×D43)⋊C4—21no—
664(C2×D43)⋊C4C2×D411yescharacteristic
665(C2×D43)⋊C4C2×D411yescharacteristic
666(C2×D43)⋊C4C2×D411yescharacteristic
667(C2×D43)⋊C4C2×D411yescharacteristic
668C4⋊Dic43—21no—
669C4⋊Dic43—21no—
670C4⋊Dic43—21no—
671C4⋊Dic43—21no—
672C4⋊Dic43—21no—
673C4⋊Dic43C2×D411yescharacteristic
674C4⋊Dic43C2411yescharacteristic
675C4⋊Dic43C2411yescharacteristic
676C4⋊Dic43C2411yescharacteristic
677C4⋊Dic43C2411yescharacteristic
678Dic43⋊C4—21no—
679Dic43⋊C4—21no—
680Dic43⋊C4—21no—
681Dic43⋊C4—21no—
682Dic43⋊C4—21no—
683Dic43⋊C4—21no—
684Dic43⋊C4—21no—
685Dic43⋊C4—21no—
686Dic43⋊C4—21no—
687Dic43⋊C4—21no—
688Dic43⋊C4—21no—
689Dic43⋊C4—21no—
690Dic43⋊C4C2×D411yescharacteristic
691Dic43⋊C4C2×D411yescharacteristic
692C4×Dic43—21no—
693C4×Dic43—21no—
694C4×Dic43—21no—
695C4×Dic43—21no—
696C4×Dic43—21no—
697C4×Dic43—21no—
698C4×Dic43—21no—
699C4×Dic43—21no—
700C4×Dic43—21no—
701C4×Dic43C2×D411yescharacteristic
702C4×Dic43C2×D411yescharacteristic
703C4×Dic43C2411yescharacteristic
704#10621877—41no—
705C2×C43⋊C8—41no—
706C2×C43⋊C8C2411yescharacteristic
707C2×C43⋊C8C2411yescharacteristic
708C2×C43⋊C8C2411yescharacteristic
709C2×C43⋊C8C2411yescharacteristic
710D344—41no—
711#10621873—22no—
712#10621873—41no—
713#10621872—22no—
714#10621872—22no—
715#10621872—41no—
716#10621872—41no—
717C8×D43—22no—
718C8×D43—22no—
719C8×D43—41no—
720C8×D43—41no—
721C23×C43—21no—
722C23×C43—21no—
723C23×C43C22×D411yescharacteristic
724C23×C43C22×D411yescharacteristic
725C22×D43—21no—
726C22×D43—21no—
727C22×D43—42no—
728C22×D43—81no—
729C22×D43—81no—
730C22×D43C22×D411yescharacteristic
731C22×D43C22×D411yescharacteristic
732C22×D43C22×D411yescharacteristic
733Q8×C43—21no—
734Q8×C43—21no—
735Q8×C43—21no—
736Q8×C43—42no—
737Q8×C43—42no—
738Q8×C43C2×#4112yes—
739D4×C43—21no—
740D4×C43—21no—
741D4×C43—21no—
742D4×C43—21no—
743D4×C43—41no—
744D4×C43—42no—
745D4×C43—81no—
746D4×C43—81no—
747D4×C43—81no—
748C2×C4×C43—21no—
749C2×C4×C43—21no—
750C2×C4×C43—21no—
751C2×C4×C43—21no—
752C2×C4×C43—21no—
753C2×C4×C43—21no—
754C2×C4×C43—21no—
755C2×C4×C43—21no—
756C2×C4×C43—21no—
757C2×C4×C43—21no—
758C2×C4×C43—42no—
759C2×C4×C43—42no—
760C2×C4×C43—42no—
761C2×C4×C43—81no—
762C2×C4×C43—81no—
763C2×C4×C43C22×D411yescharacteristic
764C2×C4×C43C22×D411yescharacteristic
765C2×C4×C43C22×D411yescharacteristic
766C2×C4×C43C22×D411yescharacteristic
767C2×C4×C43C2511yescharacteristic
768C22⋊D43—22no—
769C22⋊D43—22no—
770C22⋊D43—22no—
771C22⋊D43—22no—
772C22⋊D43—41no—
773C22⋊D43—41no—
774C22⋊D43—42no—
775C22⋊D43—42no—
776C22⋊D43—42no—
777C22⋊D43—42no—
778C22⋊D43—42no—
779C22⋊D43—81no—
780C22⋊D43—81no—
781C22⋊D43—81no—
782C22⋊D43—81no—
783C22⋊D43—81no—
784C22⋊D43—81no—
785C22⋊D43—81no—
786C2×Dic43—21no—
787C2×Dic43—21no—
788C2×Dic43—21no—
789C2×Dic43—21no—
790C2×Dic43—21no—
791C2×Dic43—21no—
792C2×Dic43—42no—
793C2×Dic43—42no—
794C2×Dic43—42no—
795C2×Dic43—81no—
796C2×Dic43C22×D411yescharacteristic
797C2×Dic43C22×D411yescharacteristic
798C2×Dic43C22×D411yescharacteristic
799C2×Dic43C22×D411yescharacteristic
800C2×Dic43C22×D411yescharacteristic
801D172—22no—
802D172—22no—
803D172—21no—
804D172—21no—
805D172—21no—
806D172—21no—
807D172—41no—
808D172—42no—
809D172—42no—
810D172—81no—
811D172—81no—
812D172—81no—
813C4×D43—24no—
814C4×D43—21no—
815C4×D43—21no—
816C4×D43—21no—
817C4×D43—21no—
818C4×D43—41no—
819C4×D43—41no—
820C4×D43—42no—
821C4×D43—42no—
822C4×D43—42no—
823C4×D43—42no—
824C4×D43—42no—
825C4×D43—42no—
826C4×D43—81no—
827C4×D43—81no—
828C4×D43—81no—
829C4×D43—81no—
830C4×D43—81no—
831C4×D43C2×#4112yes—
832C4×D43H(5,𝔽2)12yes—
833Dic86—21no—
834Dic86—24no—
835Dic86—22no—
836Dic86—22no—
837Dic86—21no—
838Dic86—21no—
839Dic86—42no—
840Dic86—42no—
841Dic86—42no—
842Dic86—81no—
843Dic86C2×#4112yes—
844C8×C43—21no—
845C8×C43—21no—
846C8×C43—21no—
847C8×C43—21no—
848C43⋊C8—21no—
849C43⋊C8—21no—
850C43⋊C8—21no—
851C43⋊C8—21no—
852#61220—431nomaximal, Sylow
853C22×C43—21no—
854C22×C43—21no—
855C22×C43—21no—
856C22×C43—21no—
857C22×C43—21no—
858C22×C43—21no—
859C22×C43—41no—
860C22×C43—41no—
861C22×C43—41no—
862C22×C43—41no—
863C22×C43—41no—
864C22×C43—41no—
865C22×C43C23×D411yescharacteristic
866C2×D43—21no—
867C2×D43—21no—
868C2×D43—21no—
869C2×D43—21no—
870C2×D43—21no—
871C2×D43—21no—
872C2×D43—21no—
873C2×D43—21no—
874C2×D43—41no—
875C2×D43—41no—
876C2×D43—41no—
877C2×D43—41no—
878C2×D43—41no—
879C2×D43—41no—
880C2×D43—84no—
881C2×D43#54612yes—
882C4×C43—21no—
883C4×C43—21no—
884C4×C43—21no—
885C4×C43—22no—
886C4×C43—21no—
887C4×C43—41no—
888C4×C43—41no—
889C4×C43—41no—
890C4×C43—41no—
891C4×C43—41no—
892C4×C43C22×#4111yescharacteristic
893C4×C43C2×H(5,𝔽2)11yescharacteristic
894Dic43—21no—
895Dic43—21no—
896Dic43—22no—
897Dic43—21no—
898Dic43—21no—
899Dic43—41no—
900Dic43—41no—
901Dic43—41no—
902Dic43—41no—
903Dic43—41no—
904Dic43#54612yes—
905#3506—431no—
906#3497—431no—
907#3321—431no—
908#3321—431no—
909#3321—431no—
910#3321—431no—
911#3320—431no—
912#3320—431no—
913#3320—431no—
914#3320—431no—
915#3309—431no—
916#3309—431no—
917#3309—431no—
918#3309—431no—
919#3308—431no—
920#3308—431no—
921#3308—431no—
922#3308D4311yescharacteristic, complemented
923#3135—431no—
924#3098—431no—
925#3098—431no—
926#3078—431no—
927#3062—431no—
928#3062—431no—
929#3036—431no—
930#3010—431no—
931#3010—431no—
932C2×#440—431no—
933#2932—431no—
934#2898—431no—
935#2898—431no—
936C2×C43—41no—
937C2×C43—41no—
938C2×C43—81no—
939C2×C43—81no—
940C2×C43C2×#54611yescharacteristic
941C2×C43#358511yescharacteristic
942C2×C43#358611yescharacteristic
943D43—22no—
944D43—41no—
945D43—41no—
946D43—81no—
947D43—81no—
948C2×2−1+4—431no—
949C2×2−1+4—431no—
950C2×AGL(1,ℤ/8)—431no—
951C2×AGL(1,ℤ/8)—431no—
952C22×SD16—431no—
953C2×#131—431no—
954C2×#131—431no—
955#559—861no—
956#559—861no—
957#556—861no—
958#555—431no—
959#555—431no—
960#553—431no—
961#553—431no—
962#553—431no—
963#553—431no—
964#550—431no—
965#550—431no—
966#550—861no—
967#550—861no—
968D4×Q8—431no—
969D4×Q8—431no—
970D4×Q8—861no—
971#548—431no—
972#548—431no—
973#548—431no—
974#548—861no—
975#548—861no—
976#548C2×D4311yescharacteristic, complemented
977#547—431no—
978#547C2×D4311yescharacteristic
979#538—861no—
980#538—861no—
981#537—431no—
982#537—431no—
983#537—861no—
984#537—861no—
985#535—431no—
986#535—431no—
987#533—431no—
988#532—431no—
989#532—431no—
990#532—861no—
991#532—861no—
992#525—861no—
993#525—861no—
994#520—431no—
995#520—431no—
996C2×C4×Q8—431no—
997C2×C4×D4—431no—
998#491—431no—
999#491—431no—
1000#490—431no—
1001#490—431no—
1002#489—431no—
1003#489—431no—
1004#489—431no—
1005#489C2×D4311yescharacteristic, complemented
1006#485—431no—
1007#485—431no—
1008#485—431no—
1009#485—431no—
1010#484—431no—
1011#484—431no—
1012#484—431no—
1013#484C2×D4311yescharacteristic, complemented
1014#482—431no—
1015#482—431no—
1016#482—431no—
1017#482—431no—
1018#480—431no—
1019#480—431no—
1020#480—431no—
1021#480C2×D4311yescharacteristic, complemented
1022#479—431no—
1023#479—431no—
1024#479—431no—
1025#479—431no—
1026#477—431no—
1027#477C2×D4311yescharacteristic, complemented
1028#475—431no—
1029#475—431no—
1030#469—431no—
1031#469—431no—
1032#469—431no—
1033#469—431no—
1034#468—431no—
1035#468—431no—
1036#468—431no—
1037#468C2×D4311yescharacteristic
1038#466—431no—
1039#466—431no—
1040#466—431no—
1041#466C2×D4311yescharacteristic
1042#465—431no—
1043#465—431no—
1044#465—431no—
1045#465—431no—
1046#463—431no—
1047#463—431no—
1048#463—431no—
1049#463C2×D4311yescharacteristic
1050#461—431no—
1051#461—431no—
1052#459—431no—
1053#459—431no—
1054#449—431no—
1055#449—431no—
1056#449—431no—
1057#449—431no—
1058#449—431no—
1059#449—431no—
1060#449—431no—
1061#449C2×D4311yescharacteristic
1062#448—431no—
1063#448—431no—
1064#448—431no—
1065#448—431no—
1066#448—431no—
1067#448—431no—
1068#448—431no—
1069#448C2×D4311yescharacteristic
1070#440—431no—
1071#440—431no—
1072#440—431no—
1073#440—431no—
1074#440—431no—
1075#440—431no—
1076#440—431no—
1077#440C2×D4311yescharacteristic
1078#435—431no—
1079#435—431no—
1080#435—431no—
1081#435—431no—
1082#435—431no—
1083#435—431no—
1084#435—431no—
1085#435C2×D4311yescharacteristic, complemented
1086#428—431no—
1087#428—431no—
1088C2×#107—431no—
1089#423—431no—
1090#419—431no—
1091#419—431no—
1092#419—431no—
1093#419—431no—
1094#419—431no—
1095#419—431no—
1096#417—431no—
1097#417—431no—
1098#417—431no—
1099#417—431no—
1100#417—431no—
1101#417C2×D4311yescharacteristic, complemented
1102#416—431no—
1103#416—431no—
1104#416—431no—
1105#416—431no—
1106#416—431no—
1107#416—431no—
1108#416—431no—
1109#416—431no—
1110C2×#103—431no—
1111C2×#103—431no—
1112C2×#103—431no—
1113C2×#103—431no—
1114C2×#103C2×D4311yescharacteristic, complemented
1115C2×#102—431no—
1116#408—431no—
1117#408—431no—
1118C2×#97—431no—
1119C43#6122011yescharacteristic, complemented, Sylow
11202−1+4—864no—
11212−1+4—864no—
11222−1+4—1722no—
11232−1+4—1722no—
1124C2×#41—21no—
1125C2×#41—431no—
1126C2×#41—431no—
1127C2×#41—431no—
1128C2×#41—431no—
1129C2×#41—431no—
1130C2×#41—431no—
1131C2×#41—431no—
1132C2×#41—861no—
1133C2×#41—861no—
1134C2×#41—861no—
1135C2×#41—861no—
1136C2×#41—861no—
1137C2×#41—861no—
1138C2×#41—861no—
1139C2×#41C22×D4311yescharacteristic
1140C22×Q8—431no—
1141C22×Q8—431no—
1142C22×Q8—431no—
1143C22×Q8—431no—
1144C22×Q8—861no—
1145C22×Q8—861no—
1146C22×Q8C22×D4311yescharacteristic
1147C22×D4—431no—
1148C23×C4—861no—
1149AGL(1,ℤ/8)—1722no—
1150AGL(1,ℤ/8)—1722no—
1151C2×SD16—431no—
1152C2×SD16—431no—
1153C2×SD16—431no—
1154C2×SD16—431no—
1155C2×SD16—431no—
1156C2×SD16—431no—
1157C2×SD16—864no—
1158C2×SD16C22×D4311yescharacteristic
1159C2×SD16C22×D4311yescharacteristic
1160C2×D8—431no—
1161C2×D8—431no—
1162C2×D8—431no—
1163C2×D8C22×D4311yescharacteristic
1164#131—1722no—
1165#131—1722no—
1166C2×M16—431no—
1167C2×M16—431no—
1168C2×M16—431no—
1169C2×M16—431no—
1170C2×M16—431no—
1171C2×M16C22×D4311yescharacteristic
1172C22×C8—431no—
1173C22×C8—431no—
1174C22×C8—431no—
1175C22×C8—431no—
1176C22×C8—431no—
1177C22×C8C22×D4311yescharacteristic
1178C4⋊Q8—431no—
1179C4⋊Q8—431no—
1180C4⋊Q8—431no—
1181C4⋊Q8—861no—
1182C4⋊Q8—861no—
1183C4⋊Q8C22×D4311yescharacteristic
1184#127—431no—
1185#127—431no—
1186#127—861no—
1187#127—861no—
1188#127—861no—
1189#127—861no—
1190#126—861no—
1191#126—861no—
1192#126—861no—
1193#126—861no—
1194#125—431no—
1195#125—431no—
1196#124—21no—
1197#124—431no—
1198#124—431no—
1199#124—431no—
1200#124—861no—
1201#124—861no—
1202#124—861no—
1203#124—861no—
1204#124—861no—
1205#124—861no—
1206#124—861no—
1207#124—861no—
1208#124—861no—
1209#124C22×D4311yescharacteristic
1210#123—21no—
1211#123—21no—
1212#123—861no—
1213#123—861no—
1214#123—861no—
1215#123—861no—
1216#123—861no—
1217#123—861no—
1218C22⋊Q8—21no—
1219C22⋊Q8—21no—
1220C22⋊Q8—431no—
1221C22⋊Q8—431no—
1222C22⋊Q8—431no—
1223C22⋊Q8—861no—
1224C22⋊Q8—861no—
1225C22⋊Q8—861no—
1226C22⋊Q8—861no—
1227C22⋊Q8—861no—
1228C22⋊Q8—861no—
1229C22⋊Q8—861no—
1230C22⋊Q8—861no—
1231C22⋊Q8—861no—
1232C22⋊Q8—861no—
1233C22⋊Q8—861no—
1234C22⋊Q8—861no—
1235C22⋊Q8C22×D4311yescharacteristic
1236#121—21no—
1237#121—431no—
1238#121—431no—
1239#121—431no—
1240#121—431no—
1241#121—431no—
1242#121—431no—
1243#121—431no—
1244#121—431no—
1245#121—431no—
1246#121—431no—
1247#121—431no—
1248#121—431no—
1249#121—431no—
1250#121—861no—
1251#121—861no—
1252#121—861no—
1253#121—861no—
1254#121—861no—
1255#121—861no—
1256#121—861no—
1257#121—861no—
1258#121—861no—
1259#121—861no—
1260#121—861no—
1261#121—861no—
1262#121—861no—
1263#121—861no—
1264#121—861no—
1265#121—861no—
1266#121—861no—
1267#121—861no—
1268#121—861no—
1269#121—861no—
1270#121—861no—
1271#121C22×D4311yescharacteristic
1272#121C22×D4311yescharacteristic
1273#121C22×D4311yescharacteristic
1274#120—861no—
1275#120—861no—
1276#120—861no—
1277#120—861no—
1278C4×Q8—431no—
1279C4×Q8—431no—
1280C4×Q8—431no—
1281C4×Q8—861no—
1282C4×Q8—861no—
1283C4×Q8—861no—
1284C4×Q8—861no—
1285C4×Q8—861no—
1286C4×Q8—861no—
1287C4×Q8C22×D4311yescharacteristic
1288C4×D4—21no—
1289C4×D4—431no—
1290C4×D4—431no—
1291C4×D4—431no—
1292C4×D4—431no—
1293C4×D4—431no—
1294C4×D4—431no—
1295C4×D4—861no—
1296C4×D4—861no—
1297C4×D4—861no—
1298C4×D4—861no—
1299C4×D4—861no—
1300C4×D4—861no—
1301C4×D4—861no—
1302C4×D4—861no—
1303C4×D4—861no—
1304C4×D4—861no—
1305C4×D4—861no—
1306C4×D4—861no—
1307C4×D4—861no—
1308C4×D4—861no—
1309C4×D4—861no—
1310C4×D4—861no—
1311C4×D4—861no—
1312C4×D4—861no—
1313C4×D4—861no—
1314C4×D4—861no—
1315C4×D4—861no—
1316C4×D4C22×D4311yescharacteristic
1317C4×D4C22×D4311yescharacteristic
1318#117—431no—
1319#117—431no—
1320#117—431no—
1321#117—431no—
1322#117—431no—
1323#117—431no—
1324#117—861no—
1325#117—861no—
1326C2×C4⋊C4—431no—
1327C2×C4⋊C4—431no—
1328C2×C4⋊C4—431no—
1329C2×C4⋊C4—431no—
1330C2×C4⋊C4—861no—
1331C2×C4⋊C4C22×D4311yescharacteristic
1332C2×C4⋊C4C22×D4311yescharacteristic
1333C2×C22⋊C4—861no—
1334C2×C42—431no—
1335C2×C42—861no—
1336#107—431no—
1337#107—431no—
1338#107—431no—
1339#107—431no—
1340#107—431no—
1341#107C22×D4311yescharacteristic
1342#107C22×D4311yescharacteristic
1343#107C22×D4311yescharacteristic
1344#106—431no—
1345#106—431no—
1346#106—431no—
1347#106—431no—
1348C4⋊C8—431no—
1349C4⋊C8—431no—
1350C4⋊C8—431no—
1351C4⋊C8C22×D4311yescharacteristic
1352#103—431no—
1353#103—431no—
1354#103—431no—
1355#103—431no—
1356#103—431no—
1357#103—431no—
1358#103—431no—
1359#103—431no—
1360#103—431no—
1361#103—431no—
1362#103—431no—
1363#103—431no—
1364#103—431no—
1365#103—431no—
1366#103—431no—
1367#103—431no—
1368#103—431no—
1369#103—431no—
1370#103C22×D4311yescharacteristic
1371#103C22×D4311yescharacteristic
1372#103C22×D4311yescharacteristic
1373#103C22×D4311yescharacteristic
1374#103C22×D4311yescharacteristic
1375#103C22×D4311yescharacteristic
1376#102—431no—
1377#102—431no—
1378#102—431no—
1379#102—431no—
1380#102—431no—
1381#102—431no—
1382#102—431no—
1383#102—431no—
1384#102—431no—
1385#102—431no—
1386#102—431no—
1387#102—431no—
1388#102C22×D4311yescharacteristic
1389#102C22×D4311yescharacteristic
1390#102C22×D4311yescharacteristic
1391#102C22×D4311yescharacteristic
1392C22⋊C8—431no—
1393C22⋊C8—431no—
1394C22⋊C8—431no—
1395C22⋊C8—431no—
1396C22⋊C8—431no—
1397C22⋊C8—431no—
1398C22⋊C8C22×D4311yescharacteristic
1399C22⋊C8C22×D4311yescharacteristic
1400#97—431no—
1401#97—431no—
1402#97—431no—
1403#97C22×D4311yescharacteristic
1404C24—861no—
1405#41—22no—
1406#41—41no—
1407#41—82no—
1408#41—862no—
1409#41—862no—
1410#41—862no—
1411#41—862no—
1412#41—862no—
1413#41—862no—
1414#41—862no—
1415#41—862no—
1416#41—862no—
1417#41—862no—
1418#41—862no—
1419#41—3442no—
1420#41—1721no—
1421#41—1724no—
1422#41—1724no—
1423#41—1724no—
1424#41—1721no—
1425#41—1724no—
1426#41—1721no—
1427#41—1724no—
1428#41—1724no—
1429C2×Q8—21no—
1430C2×Q8—21no—
1431C2×Q8—22no—
1432C2×Q8—41no—
1433C2×Q8—431no—
1434C2×Q8—431no—
1435C2×Q8—434no—
1436C2×Q8—431no—
1437C2×Q8—431no—
1438C2×Q8—861no—
1439C2×Q8—861no—
1440C2×Q8—861no—
1441C2×Q8—862no—
1442C2×Q8—862no—
1443C2×Q8—861no—
1444C2×Q8—861no—
1445C2×Q8—862no—
1446C2×Q8—862no—
1447C2×Q8—1721no—
1448C2×Q8—1724no—
1449C2×Q8—1721no—
1450C2×Q8—1721no—
1451C2×Q8—1724no—
1452C2×Q8C23×D4311yescharacteristic
1453C2×Q8C23×D4311yescharacteristic
1454C2×D4—21no—
1455C2×D4—21no—
1456C2×D4—21no—
1457C2×D4—21no—
1458C2×D4—431no—
1459C2×D4—431no—
1460C2×D4—431no—
1461C2×D4—431no—
1462C2×D4—431no—
1463C2×D4—431no—
1464C2×D4—431no—
1465C2×D4—431no—
1466C2×D4—431no—
1467C2×D4—431no—
1468C2×D4—431no—
1469C2×D4—861no—
1470C2×D4—861no—
1471C2×D4—861no—
1472C2×D4—861no—
1473C2×D4—861no—
1474C2×D4—862no—
1475C2×D4—862no—
1476C2×D4—861no—
1477C2×D4—861no—
1478C2×D4—861no—
1479C2×D4—861no—
1480C2×D4—861no—
1481C2×D4—861no—
1482C2×D4—861no—
1483C2×D4—861no—
1484C2×D4—861no—
1485C2×D4—861no—
1486C2×D4—861no—
1487C2×D4—861no—
1488C2×D4D4×D4311yescharacteristic
1489C2×D4C23×D4311yescharacteristic
1490C2×D4C23×D4311yescharacteristic
1491C22×C4—21no—
1492C22×C4—21no—
1493C22×C4—21no—
1494C22×C4—21no—
1495C22×C4—21no—
1496C22×C4—431no—
1497C22×C4—431no—
1498C22×C4—431no—
1499C22×C4—431no—
1500C22×C4—431no—
1501C22×C4—861no—
1502C22×C4—861no—
1503C22×C4—861no—
1504C22×C4—861no—
1505C22×C4—861no—
1506C22×C4—861no—
1507C22×C4—861no—
1508C22×C4—861no—
1509C22×C4—861no—
1510C22×C4—861no—
1511C22×C4—861no—
1512C22×C4—861no—
1513C22×C4—861no—
1514C22×C4—861no—
1515C22×C4—861no—
1516C22×C4—861no—
1517C22×C4—3442no—
1518C22×C4C23×D4311yescharacteristic
1519C22×C4C23×D4311yescharacteristic
1520SD16—22no—
1521SD16—41no—
1522SD16—862no—
1523SD16—862no—
1524SD16—862no—
1525SD16—1721no—
1526SD16—1721no—
1527SD16—1721no—
1528D8—41no—
1529D8—1721no—
1530D8—1721no—
1531D8—1721no—
1532M16—41no—
1533M16—862no—
1534M16—862no—
1535M16—1721no—
1536M16—1721no—
1537M16—1721no—
1538C2×C8—41no—
1539C2×C8—431no—
1540C2×C8—431no—
1541C2×C8—431no—
1542C2×C8—431no—
1543C2×C8—862no—
1544C2×C8—862no—
1545C2×C8—1721no—
1546C2×C8—1721no—
1547C2×C8—1721no—
1548C2×C8C23×D4311yescharacteristic
1549C2×C8C23×D4311yescharacteristic
1550C2×C8C23×D4311yescharacteristic
1551C2×C8C23×D4311yescharacteristic
1552C4⋊C4—21no—
1553C4⋊C4—21no—
1554C4⋊C4—21no—
1555C4⋊C4—21no—
1556C4⋊C4—21no—
1557C4⋊C4—431no—
1558C4⋊C4—431no—
1559C4⋊C4—431no—
1560C4⋊C4—431no—
1561C4⋊C4—431no—
1562C4⋊C4—431no—
1563C4⋊C4—431no—
1564C4⋊C4—861no—
1565C4⋊C4—861no—
1566C4⋊C4—861no—
1567C4⋊C4—861no—
1568C4⋊C4—861no—
1569C4⋊C4—861no—
1570C4⋊C4—861no—
1571C4⋊C4—861no—
1572C4⋊C4—861no—
1573C4⋊C4—861no—
1574C4⋊C4—861no—
1575C4⋊C4—861no—
1576C4⋊C4—861no—
1577C4⋊C4—861no—
1578C4⋊C4—861no—
1579C4⋊C4—861no—
1580C4⋊C4—861no—
1581C4⋊C4D4×D4311yescharacteristic
1582C4⋊C4C23×D4311yescharacteristic
1583C4⋊C4C23×D4311yescharacteristic
1584C4⋊C4C23×D4311yescharacteristic
1585C4⋊C4C23×D4311yescharacteristic
1586C22⋊C4—21no—
1587C22⋊C4—21no—
1588C22⋊C4—21no—
1589C22⋊C4—21no—
1590C22⋊C4—21no—
1591C22⋊C4—21no—
1592C22⋊C4—21no—
1593C22⋊C4—431no—
1594C22⋊C4—431no—
1595C22⋊C4—431no—
1596C22⋊C4—431no—
1597C22⋊C4—431no—
1598C22⋊C4—431no—
1599C22⋊C4—861no—
1600C22⋊C4—861no—
1601C22⋊C4—861no—
1602C22⋊C4—861no—
1603C22⋊C4—861no—
1604C22⋊C4—861no—
1605C22⋊C4—861no—
1606C22⋊C4—861no—
1607C22⋊C4—861no—
1608C22⋊C4—861no—
1609C22⋊C4—861no—
1610C22⋊C4—861no—
1611C22⋊C4—861no—
1612C22⋊C4—861no—
1613C22⋊C4—861no—
1614C22⋊C4—861no—
1615C22⋊C4—861no—
1616C22⋊C4—861no—
1617C22⋊C4—861no—
1618C22⋊C4—861no—
1619C22⋊C4—861no—
1620C22⋊C4—861no—
1621C22⋊C4—861no—
1622C22⋊C4D4×D4311yescharacteristic
1623C22⋊C4D4×D4311yescharacteristic
1624C42—21no—
1625C42—431no—
1626C42—431no—
1627C42—431no—
1628C42—861no—
1629C42—861no—
1630C42—861no—
1631C42—861no—
1632C42—861no—
1633C42—861no—
1634C42—861no—
1635C42—861no—
1636C42—861no—
1637C42C23×D4311yescharacteristic
1638C23—21no—
1639C23—21no—
1640C23—431no—
1641C23—431no—
1642C23—431no—
1643C23—861no—
1644C23—861no—
1645C23—3441no—
1646C23—3441no—
1647C23—1722no—
1648C23C2×D4×D4311yescharacteristic
1649C23C2×D4×D4311yescharacteristic
1650Q8—21no—
1651Q8—21no—
1652Q8—21no—
1653Q8—42no—
1654Q8—42no—
1655Q8—432no—
1656Q8—864no—
1657Q8—862no—
1658Q8—862no—
1659Q8—861no—
1660Q8—861no—
1661Q8—861no—
1662Q8—3441no—
1663Q8—1722no—
1664Q8—1722no—
1665Q8—1722no—
1666Q8#41×D4312yes—
1667D4—21no—
1668D4—21no—
1669D4—21no—
1670D4—21no—
1671D4—41no—
1672D4—42no—
1673D4—81no—
1674D4—81no—
1675D4—81no—
1676D4—862no—
1677D4—862no—
1678D4—862no—
1679D4—862no—
1680D4—862no—
1681D4—862no—
1682D4—861no—
1683D4—861no—
1684D4—861no—
1685D4—861no—
1686D4—3441no—
1687D4—3441no—
1688D4—3441no—
1689D4—3441no—
1690D4—3441no—
1691D4—3441no—
1692D4—3441no—
1693D4—3441no—
1694D4—3441no—
1695D4—3441no—
1696D4—1721no—
1697D4—1722no—
1698D4—1722no—
1699D4—1722no—
1700D4—1721no—
1701D4—1721no—
1702D4—1722no—
1703D4—1722no—
1704D4—1722no—
1705D4—1722no—
1706C2×C4—21no—
1707C2×C4—21no—
1708C2×C4—21no—
1709C2×C4—21no—
1710C2×C4—21no—
1711C2×C4—21no—
1712C2×C4—21no—
1713C2×C4—21no—
1714C2×C4—21no—
1715C2×C4—21no—
1716C2×C4—42no—
1717C2×C4—42no—
1718C2×C4—42no—
1719C2×C4—81no—
1720C2×C4—81no—
1721C2×C4—431no—
1722C2×C4—432no—
1723C2×C4—432no—
1724C2×C4—431no—
1725C2×C4—431no—
1726C2×C4—431no—
1727C2×C4—431no—
1728C2×C4—864no—
1729C2×C4—861no—
1730C2×C4—861no—
1731C2×C4—861no—
1732C2×C4—861no—
1733C2×C4—861no—
1734C2×C4—861no—
1735C2×C4—861no—
1736C2×C4—861no—
1737C2×C4—861no—
1738C2×C4—861no—
1739C2×C4—3441no—
1740C2×C4—3441no—
1741C2×C4—3441no—
1742C2×C4—3441no—
1743C2×C4—3441no—
1744C2×C4—3441no—
1745C2×C4—1721no—
1746C2×C4—1721no—
1747C2×C4—1722no—
1748C2×C4—1722no—
1749C2×C4—1722no—
1750C2×C4—1722no—
1751C2×C4—1722no—
1752C2×C4—1722no—
1753C2×C4—1722no—
1754C2×C4—1722no—
1755C2×C4—1722no—
1756C2×C4C2×D4×D4311yescharacteristic
1757C2×C4C2×D4×D4311yescharacteristic
1758C2×C4C2×D4×D4311yescharacteristic
1759C2×C4C2×D4×D4311yescharacteristic
1760C2×C4C24×D4311yescharacteristic
1761C8—21no—
1762C8—21no—
1763C8—21no—
1764C8—21no—
1765C8—861no—
1766C8—861no—
1767C8—861no—
1768C8—861no—
1769C22—21no—
1770C22—21no—
1771C22—21no—
1772C22—21no—
1773C22—21no—
1774C22—21no—
1775C22—41no—
1776C22—41no—
1777C22—41no—
1778C22—41no—
1779C22—41no—
1780C22—41no—
1781C22—432no—
1782C22—861no—
1783C22—861no—
1784C22—861no—
1785C22—861no—
1786C22—861no—
1787C22—861no—
1788C22—861no—
1789C22—861no—
1790C22—3444no—
1791C22—1721no—
1792C22—1721no—
1793C22—1721no—
1794C22—1721no—
1795C22—1721no—
1796C22—1721no—
1797C22C22×D4×D4311yescharacteristic
1798C4—21no—
1799C4—21no—
1800C4—22no—
1801C4—21no—
1802C4—21no—
1803C4—41no—
1804C4—41no—
1805C4—41no—
1806C4—41no—
1807C4—41no—
1808C4—432no—
1809C4—861no—
1810C4—861no—
1811C4—862no—
1812C4—861no—
1813C4—861no—
1814C4—1721no—
1815C4—1721no—
1816C4—1721no—
1817C4—1721no—
1818C4—1721no—
1819C4C2×#41×D4311yescharacteristic
1820C4H(5,𝔽2)×D4311yescharacteristic
1821C2—41no—
1822C2—41no—
1823C2—81no—
1824C2—81no—
1825C2—862no—
1826C2—3441no—
1827C2—3441no—
1828C2—1721no—
1829C2—1721no—
1830C2#546×D4311yescharacteristic
1831C2#1914937111yescharacteristic
1832C2#1914938011yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3308C2
socleC22×C43C23×D4
hypercenter#3308D43
hypocenterC43#61220
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3308

Complements

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

NH ≅ G/Ntype
1. #19148445C2semidirect
2. #19148363C2semidirect
3. #19146788C2semidirect
4. #19146786C2semidirect
5. #19146783C2semidirect
6. #19146781C2semidirect
7. #19146764C2semidirect
8. #19146762C2semidirect
9. #19146761C2semidirect
10. #19146759C2semidirect
11. #19146607C2semidirect
12. #19146605C2semidirect
13. #19146604C2semidirect
14. #19146602C2semidirect
15. #19146585C2semidirect
16. #19146583C2semidirect
17. #19146580C2semidirect
18. #19144937C2semidirect
19. #19144574C2semidirect
20. #19144568C2semidirect
21. #19144401C2semidirect
22. #19144274C2semidirect
23. #19144270C2semidirect
24. #19144057C2semidirect
25. #19143878C2semidirect
26. #19143876C2semidirect
27. #440×D43C2semidirect
28. #19143309C2semidirect
29. #19143126C2semidirect
30. #19143123C2semidirect
31. C43×#3308C2semidirect
49. #14583568C22semidirect
51. #14583567C22semidirect
52. Q8×C22⋊D43C22semidirect
54. #14583562C22semidirect
55. #14583561C22semidirect
57. #14583558C22semidirect
59. #14583557C22semidirect
80. #14583266C22semidirect
81. #14583266C22semidirect
82. #14583262C22semidirect
83. #14583262C22semidirect
84. #14583261C22semidirect
85. #14583259C22semidirect
86. #14583258C22semidirect
87. #14583242C22semidirect
88. #14583241C22semidirect
89. #14583238C22semidirect
90. #14583237C22semidirect
91. #14583236C22semidirect
92. #14583234C22semidirect
93. #14583233C22semidirect
94. #14583226C22semidirect
95. #14583224C22semidirect
96. #14583222C22semidirect
97. #14583220C22semidirect
98. #14583214C22semidirect
99. #14583212C22semidirect
100. #14583211C22semidirect
101. #14583205C22semidirect
102. #14583205C22semidirect
103. #14583204C22semidirect
104. #14583204C22semidirect
105. #14583191C22semidirect
106. #14583185C22semidirect
107. #14583184C22semidirect
150. #14582973C22semidirect
151. #14582972C22semidirect
152. #14582971C22semidirect
153. #14582970C22semidirect
154. #14582969C22semidirect
155. #14582968C22semidirect
156. #14582967C22semidirect
161. #14582909C22semidirect
162. #14582908C22semidirect
165. #14582906C22semidirect
166. #14582906C22semidirect
168. #14582899C22semidirect
169. #14582898C22semidirect
171. #14582897C22semidirect
172. #14582896C22semidirect
173. #14582895C22semidirect
176. #14582894C22semidirect
179. #14582892C22semidirect
180. C2×#13063248C22semidirect
182. #103×D43C22semidirect
183. #103×D43C22semidirect
188. C43×#548C22semidirect
190. C43×#489C22semidirect
191. C43×#484C22semidirect
192. C43×#480C22semidirect
193. C43×#477C22semidirect
200. C43×#435C22semidirect
201. C43×#417C22semidirect
202. C2×#103×C43C22semidirect
545. Q8×D43#41semidirect
922. #3308D43semidirect
976. #548C2×D43semidirect
1005. #489C2×D43semidirect
1013. #484C2×D43semidirect
1021. #480C2×D43semidirect
1027. #477C2×D43semidirect
1085. #435C2×D43semidirect
1101. #417C2×D43semidirect
1114. C2×#103C2×D43semidirect
1119. C43#61220semidirect

Maximal subgroups

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

subgroupindex
#191484452
#191483632
#191467882
#191467862
#191467832
#191467812
#191467642
#191467622
#191467612
#191467592
#191466072
#191466052
#191466042
#191466022
#191465852
#191465832
#191465802
#191449372
#191445742
#191445682
#191444012
#191442742
#191442702
#191440572
#191438782
#191438762
#440×D432
#191433092
#191431262
#191431232
C43×#33082
#6122043