Finite Group Databasebeta

← #25974493

Subgroups — #25974493

Order 11008.

2046 conjugacy classes of subgroups.

The subgroup lattice has 1806 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19148313C211yesmaximal, characteristic, complemented
2#19148272C211yesmaximal, characteristic, complemented
3#19146889C211yesmaximal, characteristic, complemented
4#19146885C211yesmaximal, characteristic, complemented
5#19146817C211yesmaximal, characteristic, complemented
6#19146805C211yesmaximal, characteristic, complemented
7#19146754C211yesmaximal, characteristic, complemented
8#19146753C211yesmaximal, characteristic, complemented
9#19146666C211yesmaximal, characteristic, complemented
10#19146654C211yesmaximal, characteristic, complemented
11#19146639C211yesmaximal, characteristic, complemented
12#19146574C211yesmaximal, characteristic, complemented
13#19146570C211yesmaximal, characteristic, complemented
14#19146515C211yesmaximal, characteristic, complemented
15#19146507C211yesmaximal, characteristic, complemented
16#19146494C211yesmaximal, characteristic, complemented
17#19146493C211yesmaximal, characteristic, complemented
18#19144961C211yesmaximal, characteristic, complemented
19#19144579C211yesmaximal, characteristic, complemented
20#485×D43C211yesmaximal, characteristic, complemented
21#19144449C211yesmaximal, characteristic, complemented
22#19144266C211yesmaximal, characteristic, complemented
23#19144224C211yesmaximal, characteristic, complemented
24#19144142C211yesmaximal, characteristic, complemented
25#19143911C211yesmaximal, characteristic, complemented
26#19143818C211yesmaximal, characteristic, complemented
27#19143475C211yesmaximal, characteristic, complemented
28#19143318C211yesmaximal, characteristic, complemented
29#19143123C211yesmaximal, characteristic, complemented
30#19143113C211yesmaximal, characteristic, complemented
31C43×#3312C211yesmaximal, characteristic, complemented
32C2×#13063373C2211yescharacteristic
33C22×#10621902C2211yescharacteristic
34C2×#13063357C2211yescharacteristic, complemented
35C2×#13063348C2211yescharacteristic
36C2×#13063348C2211yescharacteristic
37C2×#13063331C2211yescharacteristic, complemented
38C2×M16×D43C2211yescharacteristic
39#14583622C2211yescharacteristic, complemented
40#14583620C2211yescharacteristic, complemented
41#14583616—21no—
42#14583614C2211yescharacteristic
43#14583612—21no—
44#14583612C2211yescharacteristic
45#14583602C2211yescharacteristic, complemented
46#14583597C2211yescharacteristic, complemented
47#14583594—21no—
48#14583583C2211yescharacteristic
49#14583581—21no—
50Q8×C22⋊D43C2211yescharacteristic
51#14583561C2211yescharacteristic
52#14583560C2211yescharacteristic
53#14583552—21no—
54#14583552C2211yescharacteristic
55#14583551—21no—
56#14583551C2211yescharacteristic
57#14583545—21no—
58#14583545C2211yescharacteristic
59#14583540—21no—
60#14583540C2211yescharacteristic
61#14583529C2211yescharacteristic, complemented
62#14583488—21no—
63#14583485—21no—
64#14583479—21no—
65#14583479C2211yescharacteristic
66#14583479C2211yescharacteristic, complemented
67#14583474—21no—
68#14583474C2211yescharacteristic
69#14583434—21no—
70#14583427—21no—
71#14583412C2211yescharacteristic
72#14583408—21no—
73#14583408C2211yescharacteristic
74C22⋊Q8×D43—21no—
75C22⋊Q8×D43C2211yescharacteristic
76#14583381C2211yescharacteristic
77#14583381C2211yescharacteristic, complemented
78#14583380C2211yescharacteristic, complemented
79#117×D43C2211yescharacteristic
80#14583266C2211yescharacteristic, complemented
81#14583260C2211yescharacteristic, complemented
82#14583259C2211yescharacteristic, complemented
83#14583256C2211yescharacteristic, complemented
84#14583255C2211yescharacteristic, complemented
85#14583249C2211yescharacteristic, complemented
86#14583248C2211yescharacteristic, complemented
87#14583243C2211yescharacteristic, complemented
88#14583242C2211yescharacteristic, complemented
89#14583241C2211yescharacteristic
90#14583240C2211yescharacteristic
91#14583239C2211yescharacteristic, complemented
92#14583239C2211yescharacteristic, complemented
93#14583238C2211yescharacteristic, complemented
94#14583237C2211yescharacteristic
95#14583237C2211yescharacteristic, complemented
96#14583228C2211yescharacteristic, complemented
97#14583225C2211yescharacteristic, complemented
98#14583224C2211yescharacteristic, complemented
99#14583219C2211yescharacteristic, complemented
100#14583217C2211yescharacteristic, complemented
101#14583208C2211yescharacteristic, complemented
102#14583198C2211yescharacteristic, complemented
103#14583196C2211yescharacteristic, complemented
104#14583194C2211yescharacteristic, complemented
105#14583192C2211yescharacteristic, complemented
106#14583180C2211yescharacteristic, complemented
107#14583178C2211yescharacteristic, complemented
108#14583155C2211yescharacteristic
109#14583148C2211yescharacteristic, complemented
110#14583148C2211yescharacteristic, complemented
111#14583147C2211yescharacteristic
112#14583147C2211yescharacteristic, complemented
113#14583147C2211yescharacteristic, complemented
114#14583145C2211yescharacteristic
115#14583139C2211yescharacteristic, complemented
116#14583137C2211yescharacteristic, complemented
117#14583137C2211yescharacteristic, complemented
118#14583136C2211yescharacteristic, complemented
119#14583135C2211yescharacteristic, complemented
120#14583131C2211yescharacteristic, complemented
121#14583129C2211yescharacteristic, complemented
122#14583123C2211yescharacteristic, complemented
123#14583121C2211yescharacteristic, complemented
124#14583117C2211yescharacteristic, complemented
125#14583115C2211yescharacteristic, complemented
126#14583107C2211yescharacteristic, complemented
127#14583103C2211yescharacteristic, complemented
128#14583101C2211yescharacteristic, complemented
129#14583060C2211yescharacteristic
130#14583060C2211yescharacteristic
131#14583060C2211yescharacteristic, complemented
132#14583059C2211yescharacteristic, complemented
133#14583053C2211yescharacteristic, complemented
134#14583049C2211yescharacteristic
135#14583047C2211yescharacteristic
136#14583047C2211yescharacteristic
137#14583047C2211yescharacteristic, complemented
138#14583046C2211yescharacteristic, complemented
139#14583039C2211yescharacteristic, complemented
140#14583038C2211yescharacteristic
141#14583038C2211yescharacteristic, complemented
142#14583035C2211yescharacteristic
143#14583012C2211yescharacteristic, complemented
144#14583010C2211yescharacteristic, complemented
145#14583006C2211yescharacteristic, complemented
146C4×#10621884C2211yescharacteristic, complemented
147C4×#10621884C2211yescharacteristic, complemented
148#14582984C2211yescharacteristic, complemented
149#14582984C2211yescharacteristic, complemented
150#14582977C2211yescharacteristic
151#14582975C2211yescharacteristic
152#14582973C2211yescharacteristic
153#14582973C2211yescharacteristic, complemented
154#14582972C2211yescharacteristic, complemented
155#14582964C2211yescharacteristic, complemented
156C8×C22⋊D43C2211yescharacteristic, complemented
157#14582938C2211yescharacteristic, complemented
158#107×D43C2211yescharacteristic, complemented
159#106×D43C2211yescharacteristic, complemented
160#14582924C2211yescharacteristic, complemented
161#14582908C2211yescharacteristic
162#14582908C2211yescharacteristic, complemented
163#14582906C2211yescharacteristic, complemented
164#14582906C2211yescharacteristic, complemented
165#14582905C2211yescharacteristic
166#14582903C2211yescharacteristic
167#14582899C2211yescharacteristic
168#14582899C2211yescharacteristic
169#14582899C2211yescharacteristic
170#14582899C2211yescharacteristic
171#14582899C2211yescharacteristic, complemented
172#14582899C2211yescharacteristic, complemented
173#14582898C2211yescharacteristic, complemented
174#14582896C2211yescharacteristic, complemented
175#14582894C2211yescharacteristic
176#14582894C2211yescharacteristic
177#14582894C2211yescharacteristic
178#14582894C2211yescharacteristic
179#14582894C2211yescharacteristic
180#14582894C2211yescharacteristic
181#14582894C2211yescharacteristic, complemented
182#103×D43C2211yescharacteristic, complemented
183#103×D43C2211yescharacteristic, complemented
184#103×D43C2211yescharacteristic, complemented
185#14582864C2211yescharacteristic, complemented
186C22⋊C8×D43C2211yescharacteristic
187#14582856C2211yescharacteristic, complemented
188C43×#552C2211yescharacteristic
189D4×Q8×C43C2211yescharacteristic
190C43×#491C2211yescharacteristic, complemented
191C43×#485C2211yescharacteristic
192C43×#483C2211yescharacteristic, complemented
193C43×#479C2211yescharacteristic, complemented
194C43×#470C2211yescharacteristic
195C43×#467C2211yescharacteristic, complemented
196C43×#462C2211yescharacteristic, complemented
197C43×#451C2211yescharacteristic
198C43×#451C2211yescharacteristic, complemented
199C43×#441C2211yescharacteristic, complemented
200C43×#435C2211yescharacteristic
201C43×#419C2211yescharacteristic
202C2×#103×C43C2211yescharacteristic, complemented
203#13063373—24no—
204#13063373—42no—
205C2×#10621902—21no—
206C2×#10621902—21no—
207C2×#10621902—21no—
208C2×#10621902—24no—
209C2×#10621902—42no—
210C2×#10621902C2311yescharacteristic
211C2×#10621902C2311yescharacteristic
212C2×#10621902C2311yescharacteristic
213C2×#10621902C2311yescharacteristic
214C2×#10621902C2311yescharacteristic
215C2×#10621902C2311yescharacteristic
216C2×#10621898—21no—
217C2×#10621898—21no—
218C2×#10621898C2311yescharacteristic
219C2×#10621898C2311yescharacteristic
220C2×Q8×D43—21no—
221C2×Q8×D43C2311yescharacteristic
222C2×Q8×D43C2311yescharacteristic
223C22×D172—21no—
224C22×D172C2311yescharacteristic
225C22×C4×D43—21no—
226C22×C4×D43C2311yescharacteristic
227#13063357—42no—
228#13063348—24no—
229#13063348—42no—
230C2×#10621885C2311yescharacteristic
231C2×#10621873C2311yescharacteristic
232C2×#10621884C2311yescharacteristic
233C2×#10621884C2311yescharacteristic
234C2×#10621884C2311yescharacteristic
235C2×#10621884C2311yescharacteristic
236C2×#10621884C2311yescharacteristic
237C2×D344C2311yescharacteristic
238C2×D344C2311yescharacteristic
239#13063331—42no—
240C2×#10621877C2311yescharacteristic
241C2×#10621877C2311yescharacteristic
242C2×#10621872C2311yescharacteristic
243C2×#10621872C2311yescharacteristic
244C2×#10621872C2311yescharacteristic
245M16×D43—42no—
246C2×C8×D43C2311yescharacteristic
247C2×C8×D43C2311yescharacteristic
248C2×C8×D43C2311yescharacteristic
249C2×C8×D43C2311yescharacteristic
250C2×C8×D43C2311yescharacteristic
251#13063325C2311yescharacteristic
252#13063324—21no—
253#13063324C2311yescharacteristic
254#13063323—21no—
255#13063323C2311yescharacteristic
256#13063320—21no—
257#13063320—21no—
258#13063320—21no—
259#13063320—21no—
260#13063320—21no—
261#13063318—21no—
262#13063318—21no—
263#13063316C2311yescharacteristic
264#13063315—21no—
265#13063315—21no—
266#13063314—21no—
267#13063314C2311yescharacteristic
268#13063313—21no—
269#13063313—21no—
270#13063313—21no—
271#13063313C2311yescharacteristic
272#13063311—21no—
273#13063311—21no—
274#13063311—21no—
275#13063311—21no—
276#13063310—21no—
277#13063310—21no—
278#13063310—21no—
279#13063310—21no—
280#13063310—21no—
281#13063310—21no—
282#13063310—21no—
283#13063310—21no—
284#13063310—21no—
285#13063310—21no—
286#13063310D411yescharacteristic
287#13063307—21no—
288#13063307—21no—
289#13063307D411yescharacteristic
290#13063305—21no—
291#13063305—21no—
292#13063305C2311yescharacteristic
293#13063304—21no—
294#13063304C2311yescharacteristic
295#13063303—21no—
296#13063303—21no—
297#13063303—21no—
298#13063303—21no—
299#13063303—21no—
300#13063303—21no—
301#13063303D411yescharacteristic
302#13063302—21no—
303#13063302D411yescharacteristic
304#13063301—21no—
305#13063301—21no—
306#13063301C2311yescharacteristic
307#13063301C2311yescharacteristic
308#13063301C2311yescharacteristic
309#13063301C2311yescharacteristic
310#13063300—21no—
311#13063300—21no—
312#13063300—21no—
313#13063300—21no—
314#13063300—21no—
315#13063300—21no—
316#13063300C2311yescharacteristic
317#13063300C2311yescharacteristic
318#13063300C2311yescharacteristic
319#13063299—21no—
320#13063299—21no—
321#13063299C2311yescharacteristic
322#13063299C2311yescharacteristic
323#13063299C2311yescharacteristic
324#13063298—21no—
325#13063298—21no—
326#13063298—21no—
327#13063298—21no—
328#13063298—21no—
329#13063298—21no—
330#13063298—21no—
331#13063298D411yescharacteristic
332#13063297D411yescharacteristic
333#13063296—21no—
334#13063295—21no—
335#13063295—21no—
336#13063295D411yescharacteristic
337#13063293—21no—
338#13063293D411yescharacteristic
339Q8×Dic43C2311yescharacteristic
340Q8×Dic43C2311yescharacteristic
341C4×Dic86—21no—
342#13063290—21no—
343#13063290—21no—
344C4×D172—21no—
345C4×D172—21no—
346C4×D172—21no—
347C4×D172C2311yescharacteristic
348C4×D172C2311yescharacteristic
349C4×D172C2311yescharacteristic
350#13063287—21no—
351#13063287—21no—
352#13063287—21no—
353#13063287—21no—
354#13063287—21no—
355#13063287C2311yescharacteristic
356#13063287C2311yescharacteristic
357C4×C22⋊D43—21no—
358C4×C22⋊D43—21no—
359C4×C22⋊D43—21no—
360C4×C22⋊D43—21no—
361C4×C22⋊D43—21no—
362C4×C22⋊D43C2311yescharacteristic
363C4×C22⋊D43C2311yescharacteristic
364(C22⋊D43)⋊C4—21no—
365#13063284C2311yescharacteristic
366#13063284C2311yescharacteristic
367#13063283—21no—
368#13063283—21no—
369#13063283C2311yescharacteristic
370#13063283C2311yescharacteristic
371#13063283C2311yescharacteristic
372#13063283C2311yescharacteristic
373#13063282—21no—
374#13063282—21no—
375#13063282—21no—
376#13063282—21no—
377#13063282C2311yescharacteristic
378#13063281—21no—
379C4⋊C4×D43—21no—
380C4⋊C4×D43—21no—
381C4⋊C4×D43—21no—
382C4⋊C4×D43—21no—
383C4⋊C4×D43—21no—
384C4⋊C4×D43C2311yescharacteristic
385C4⋊C4×D43C2311yescharacteristic
386C4⋊C4×D43C2311yescharacteristic
387C4⋊C4×D43C2311yescharacteristic
388C22⋊C4×D43—21no—
389C22⋊C4×D43—21no—
390C22⋊C4×D43—21no—
391C22⋊C4×D43—21no—
392C42×D43—21no—
393#13063259C2311yescharacteristic
394#13063259C2311yescharacteristic
395#13063258C2311yescharacteristic
396#13063258C2311yescharacteristic
397#13063258C2311yescharacteristic
398#13063257C2311yescharacteristic
399#13063256C2311yescharacteristic
400#13063256C2311yescharacteristic
401#13063256C2311yescharacteristic
402C4⋊(C43⋊C8)C2311yescharacteristic
403Dic43⋊C8C2311yescharacteristic
404Dic43⋊C8C2311yescharacteristic
405#13063250C2311yescharacteristic
406#13063250C2311yescharacteristic
407#13063250C2311yescharacteristic
408#13063249C2311yescharacteristic
409#13063249C2311yescharacteristic
410#13063249C2311yescharacteristic
411#13063249C2311yescharacteristic
412#13063249C2311yescharacteristic
413#13063249C2311yescharacteristic
414#13063249C2311yescharacteristic
415#13063249C2311yescharacteristic
416#13063249C2311yescharacteristic
417#13063249C2311yescharacteristic
418#13063248C2311yescharacteristic
419#13063248C2311yescharacteristic
420#13063248C2311yescharacteristic
421#13063247C2311yescharacteristic
422#13063247C2311yescharacteristic
423#13063247C2311yescharacteristic
424#13063247C2311yescharacteristic
425#13063247C2311yescharacteristic
426#13063247C2311yescharacteristic
427#13063247C2311yescharacteristic
428#13063245C2311yescharacteristic
429#13063245C2311yescharacteristic
430#13063245C2311yescharacteristic
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#13063235C2311yescharacteristic
442C4×C43⋊C8C2311yescharacteristic
443C8×Dic43C2311yescharacteristic
444C22×Q8×C43C2311yescharacteristic
445C22×Q8×C43C2311yescharacteristic
446C2×Q16×C43C2311yescharacteristic
447C2×Q16×C43C2311yescharacteristic
448C2×Q16×C43C2311yescharacteristic
449C2×M16×C43C2311yescharacteristic
450C22×C8×C43C2311yescharacteristic
451C4⋊Q8×C43—21no—
452C4⋊Q8×C43C2311yescharacteristic
453#126×C43—21no—
454#125×C43—21no—
455#125×C43C2311yescharacteristic
456#123×C43—21no—
457C22⋊Q8×C43—21no—
458C22⋊Q8×C43—21no—
459C22⋊Q8×C43C2311yescharacteristic
460C22⋊Q8×C43C2311yescharacteristic
461C22⋊Q8×C43C2311yescharacteristic
462C22⋊Q8×C43C2311yescharacteristic
463C4×Q8×C43C2311yescharacteristic
464C4×Q8×C43C2311yescharacteristic
465C4×D4×C43—21no—
466C4×D4×C43C2311yescharacteristic
467#117×C43—21no—
468#117×C43C2311yescharacteristic
469C2×C4⋊C4×C43C2311yescharacteristic
470#107×C43C2311yescharacteristic
471#106×C43C2311yescharacteristic
472#106×C43C2311yescharacteristic
473C4⋊C8×C43C2311yescharacteristic
474#103×C43C2311yescharacteristic
475#103×C43C2311yescharacteristic
476#103×C43C2311yescharacteristic
477#103×C43C2311yescharacteristic
478#103×C43C2311yescharacteristic
479#103×C43C2311yescharacteristic
480#103×C43C2311yescharacteristic
481#103×C43C2311yescharacteristic
482#103×C43C2311yescharacteristic
483#103×C43C2311yescharacteristic
484C22⋊C8×C43C2311yescharacteristic
485C22⋊C8×C43C2311yescharacteristic
486#97×C43C2311yescharacteristic
487C23×D43—21no—
488C23×D43C2×D411yescharacteristic
489C2×Q8×C43—21no—
490C2×Q8×C43—21no—
491C2×Q8×C43—22no—
492C2×Q8×C43—22no—
493C2×Q8×C43—41no—
494C2×Q8×C43—41no—
495C2×Q8×C43C2411yescharacteristic
496C2×Q8×C43C2411yescharacteristic
497C2×Q8×C43C2411yescharacteristic
498C2×Q8×C43C2411yescharacteristic
499C2×D4×C43C2×D411yescharacteristic
500C22×C4×C43—21no—
501C22×C4×C43—21no—
502C22×C4×C43—21no—
503C22×C4×C43C2411yescharacteristic
504C22×C4×C43C2411yescharacteristic
505C2×C22⋊D43—21no—
506C2×C22⋊D43—21no—
507C2×C22⋊D43—21no—
508C2×C22⋊D43—21no—
509C2×C22⋊D43C2×D411yescharacteristic
510C2×C22⋊D43C2×D411yescharacteristic
511C2×C22⋊D43C2×D411yescharacteristic
512C2×C22⋊D43C2×D411yescharacteristic
513C22×Dic43C2×D411yescharacteristic
514#10621902—22no—
515#10621902—22no—
516#10621902—22no—
517#10621902—22no—
518#10621902—22no—
519#10621902—22no—
520#10621902—22no—
521#10621902—22no—
522#10621902—44no—
523#10621902—41no—
524#10621902—41no—
525#10621902—41no—
526#10621902—44no—
527#10621902—44no—
528#10621902#4114yes—
529Q8×D43—22no—
530Q8×D43—22no—
531Q8×D43—22no—
532Q8×D43—41no—
533Q8×D43—44no—
534#10621898—22no—
535#10621898—22no—
536#10621898—22no—
537#10621898—41no—
538#10621898—44no—
539#10621898—44no—
540C2×D172—21no—
541C2×D172—21no—
542C2×D172—21no—
543C2×D172—21no—
544C2×D172—21no—
545C2×D172—21no—
546C2×D172—21no—
547C2×D172—21no—
548C2×D172—21no—
549C2×D172—21no—
550C2×D172—22no—
551C2×D172—44no—
552C2×D172—41no—
553C2×D172C2×D411yescharacteristic
554C2×D172C2×D411yescharacteristic
555C2×D172C2411yescharacteristic
556C2×D172C2411yescharacteristic
557C2×D172C2411yescharacteristic
558C2×C4×D43—21no—
559C2×C4×D43—22no—
560C2×C4×D43—22no—
561C2×C4×D43—21no—
562C2×C4×D43—21no—
563C2×C4×D43—21no—
564C2×C4×D43—21no—
565C2×C4×D43—21no—
566C2×C4×D43—21no—
567C2×C4×D43—21no—
568C2×C4×D43—21no—
569C2×C4×D43—21no—
570C2×C4×D43—21no—
571C2×C4×D43—21no—
572C2×C4×D43—21no—
573C2×C4×D43—21no—
574C2×C4×D43—21no—
575C2×C4×D43—21no—
576C2×C4×D43—21no—
577C2×C4×D43—44no—
578C2×C4×D43C2×D411yescharacteristic
579C2×C4×D43C2×D411yescharacteristic
580C2×C4×D43C2411yescharacteristic
581C2×C4×D43C2411yescharacteristic
582C2×C4×D43C2411yescharacteristic
583C2×Dic86—21no—
584C2×Dic86—21no—
585C2×Dic86—21no—
586C2×Dic86—21no—
587C2×Dic86C2×D411yescharacteristic
588C2×Dic86C2411yescharacteristic
589Q16×C43—22no—
590Q16×C43—41no—
591Q16×C43—41no—
592M16×C43—41no—
593C2×C8×C43—41no—
594C2×C8×C43C2411yescharacteristic
595C2×C8×C43C2411yescharacteristic
596C2×C8×C43C2411yescharacteristic
597C2×C8×C43C2411yescharacteristic
598C4⋊C4×C43—21no—
599C4⋊C4×C43—21no—
600C4⋊C4×C43—21no—
601C4⋊C4×C43—21no—
602C4⋊C4×C43—21no—
603C4⋊C4×C43—21no—
604C4⋊C4×C43—21no—
605C4⋊C4×C43—21no—
606C4⋊C4×C43—21no—
607C4⋊C4×C43—21no—
608C4⋊C4×C43—21no—
609C4⋊C4×C43C2×D411yescharacteristic
610C4⋊C4×C43C2411yescharacteristic
611C4⋊C4×C43C2411yescharacteristic
612C4⋊C4×C43C2411yescharacteristic
613C4⋊C4×C43C2411yescharacteristic
614C22⋊C4×C43—21no—
615C22⋊C4×C43—21no—
616C22⋊C4×C43—21no—
617C22⋊C4×C43—21no—
618C22⋊C4×C43—21no—
619C22⋊C4×C43C2×D411yescharacteristic
620C22⋊C4×C43C2×D411yescharacteristic
621C42×C43—21no—
622C42×C43—21no—
623C42×C43—21no—
624C42×C43C2411yescharacteristic
625C22⋊Dic43—21no—
626C22⋊Dic43—21no—
627C22⋊Dic43—21no—
628C22⋊Dic43C2×D411yescharacteristic
629C22⋊Dic43C2×D411yescharacteristic
630#10621885—41no—
631#10621884—22no—
632#10621884—22no—
633#10621884—41no—
634#10621884—41no—
635#10621884—41no—
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)⋊C4—21no—
646(C2×D43)⋊C4—21no—
647(C2×D43)⋊C4—21no—
648(C2×D43)⋊C4—21no—
649(C2×D43)⋊C4—21no—
650(C2×D43)⋊C4—21no—
651(C2×D43)⋊C4—21no—
652(C2×D43)⋊C4—21no—
653(C2×D43)⋊C4—21no—
654(C2×D43)⋊C4—21no—
655(C2×D43)⋊C4—21no—
656(C2×D43)⋊C4—21no—
657(C2×D43)⋊C4—21no—
658(C2×D43)⋊C4—21no—
659(C2×D43)⋊C4C2×D411yescharacteristic
660(C2×D43)⋊C4C2×D411yescharacteristic
661(C2×D43)⋊C4C2×D411yescharacteristic
662(C2×D43)⋊C4C2×D411yescharacteristic
663(C2×D43)⋊C4C2×D411yescharacteristic
664(C2×D43)⋊C4C2×D411yescharacteristic
665C4⋊Dic43—21no—
666C4⋊Dic43—21no—
667C4⋊Dic43—21no—
668C4⋊Dic43—21no—
669C4⋊Dic43—21no—
670C4⋊Dic43C2×D411yescharacteristic
671C4⋊Dic43C2411yescharacteristic
672C4⋊Dic43C2411yescharacteristic
673C4⋊Dic43C2411yescharacteristic
674C4⋊Dic43C2411yescharacteristic
675Dic43⋊C4—21no—
676Dic43⋊C4—21no—
677Dic43⋊C4—21no—
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⋊C4C2×D411yescharacteristic
689Dic43⋊C4C2×D411yescharacteristic
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×Dic43C2411yescharacteristic
701#10621877—41no—
702#10621877—41no—
703C2×C43⋊C8C2411yescharacteristic
704C2×C43⋊C8C2411yescharacteristic
705C2×C43⋊C8C2411yescharacteristic
706C2×C43⋊C8C2411yescharacteristic
707D344—22no—
708D344—41no—
709#10621873—41no—
710#10621872—22no—
711#10621872—22no—
712#10621872—41no—
713C8×D43—22no—
714C8×D43—22no—
715C8×D43—41no—
716C8×D43—41no—
717C8×D43—41no—
718C23×C43C22×D411yescharacteristic
719C23×C43C22×D411yescharacteristic
720C22×D43—21no—
721C22×D43—22no—
722C22×D43—21no—
723C22×D43—21no—
724C22×D43—41no—
725C22×D43—41no—
726C22×D43—42no—
727C22×D43—42no—
728C22×D43—81no—
729C22×D43C22×D411yescharacteristic
730C22×D43C22×D411yescharacteristic
731C22×D43C22×D411yescharacteristic
732Q8×C43—21no—
733Q8×C43—21no—
734Q8×C43—21no—
735Q8×C43—21no—
736Q8×C43—21no—
737Q8×C43—21no—
738Q8×C43—21no—
739Q8×C43—42no—
740Q8×C43—42no—
741Q8×C43C2×#4112yes—
742D4×C43—41no—
743C2×C4×C43—21no—
744C2×C4×C43—21no—
745C2×C4×C43—21no—
746C2×C4×C43—21no—
747C2×C4×C43—21no—
748C2×C4×C43—21no—
749C2×C4×C43—21no—
750C2×C4×C43—21no—
751C2×C4×C43—21no—
752C2×C4×C43—21no—
753C2×C4×C43—21no—
754C2×C4×C43—21no—
755C2×C4×C43—42no—
756C2×C4×C43—42no—
757C2×C4×C43—81no—
758C2×C4×C43C22×D411yescharacteristic
759C2×C4×C43C22×D411yescharacteristic
760C2×C4×C43C22×D411yescharacteristic
761C2×C4×C43C22×D411yescharacteristic
762C2×C4×C43C2511yescharacteristic
763C22⋊D43—22no—
764C22⋊D43—22no—
765C22⋊D43—41no—
766C22⋊D43—41no—
767C22⋊D43—42no—
768C22⋊D43—81no—
769C22⋊D43—81no—
770C22⋊D43—81no—
771C2×Dic43—22no—
772C2×Dic43—21no—
773C2×Dic43—21no—
774C2×Dic43—21no—
775C2×Dic43—21no—
776C2×Dic43—21no—
777C2×Dic43C22×D411yescharacteristic
778C2×Dic43C22×D411yescharacteristic
779C2×Dic43C22×D411yescharacteristic
780C2×Dic43C22×D411yescharacteristic
781C2×Dic43C22×D411yescharacteristic
782D172—24no—
783D172—22no—
784D172—21no—
785D172—21no—
786D172—21no—
787D172—21no—
788D172—21no—
789D172—41no—
790D172—42no—
791D172—42no—
792D172—42no—
793D172—42no—
794D172—42no—
795D172—42no—
796D172—81no—
797D172—81no—
798D172—81no—
799D172C2×#4112yes—
800C4×D43—22no—
801C4×D43—21no—
802C4×D43—21no—
803C4×D43—21no—
804C4×D43—21no—
805C4×D43—22no—
806C4×D43—24no—
807C4×D43—42no—
808C4×D43—42no—
809C4×D43—42no—
810C4×D43—42no—
811C4×D43—42no—
812C4×D43—42no—
813C4×D43—42no—
814C4×D43—42no—
815C4×D43—81no—
816C4×D43—81no—
817C4×D43—81no—
818C4×D43—81no—
819C4×D43—81no—
820C4×D43—81no—
821C4×D43—81no—
822C4×D43—81no—
823C4×D43C2×#4112yes—
824C4×D43H(5,𝔽2)12yes—
825Dic86—22no—
826Dic86—21no—
827Dic86—21no—
828Dic86—42no—
829Dic86—42no—
830Dic86—81no—
831Dic86—81no—
832C8×C43—21no—
833C8×C43—21no—
834C8×C43—21no—
835C8×C43—21no—
836C43⋊C8—21no—
837C43⋊C8—21no—
838C43⋊C8—21no—
839C43⋊C8—21no—
840#61197—431nomaximal, Sylow
841C22×C43—21no—
842C22×C43—21no—
843C22×C43—21no—
844C22×C43—21no—
845C22×C43—21no—
846C22×C43—21no—
847C22×C43C23×D411yescharacteristic
848C2×D43—21no—
849C2×D43—21no—
850C2×D43—21no—
851C2×D43—21no—
852C2×D43—21no—
853C2×D43—21no—
854C2×D43—21no—
855C2×D43—22no—
856C2×D43—21no—
857C2×D43—41no—
858C2×D43—41no—
859C2×D43—41no—
860C2×D43—41no—
861C2×D43—41no—
862C2×D43—41no—
863C2×D43—41no—
864C2×D43—41no—
865C2×D43—82no—
866C2×D43—84no—
867C2×D43#54612yes—
868C4×C43—21no—
869C4×C43—21no—
870C4×C43—21no—
871C4×C43—22no—
872C4×C43—21no—
873C4×C43—41no—
874C4×C43—41no—
875C4×C43—41no—
876C4×C43—41no—
877C4×C43—41no—
878C4×C43—41no—
879C4×C43—41no—
880C4×C43C22×#4111yescharacteristic
881C4×C43C2×H(5,𝔽2)11yescharacteristic
882Dic43—21no—
883Dic43—21no—
884Dic43—21no—
885Dic43—21no—
886Dic43—41no—
887Dic43—41no—
888Dic43—41no—
889Dic43—41no—
890Dic43—41no—
891Dic43#54612yes—
892#3493—431no—
893#3489—431no—
894#3329—431no—
895#3329—431no—
896#3323—431no—
897#3323—431no—
898#3319—431no—
899#3319—431no—
900#3313—431no—
901#3313—431no—
902#3312—431no—
903#3312D4311yescharacteristic, complemented
904#3307—431no—
905#3307—431no—
906#3302—431no—
907#3302—431no—
908#3301—431no—
909#3301—431no—
910#3137—431no—
911#3099—431no—
912C2×#485—431no—
913#3083—431no—
914#3061—431no—
915#3056—431no—
916#3046—431no—
917#3013—431no—
918#3002—431no—
919#2952—431no—
920#2933—431no—
921#2898—431no—
922#2896—431no—
923C2×C43—41no—
924C2×C43—41no—
925C2×C43C2×#54611yescharacteristic
926C2×C43#358411yescharacteristic
927C2×C43#358611yescharacteristic
928D43—22no—
929D43—41no—
930D43—41no—
931D43—42no—
932D43—81no—
933D43—81no—
934C2×2−1+4—431no—
935C22×#41—431no—
936C2×#137—431no—
937C2×#135—431no—
938C2×#135—431no—
939C2×#131—431no—
940C22×M16—431no—
941#556—431no—
942#556—431no—
943#556—861no—
944#555—431no—
945#555—431no—
946#555—861no—
947#553—431no—
948#553—431no—
949#553—861no—
950#552—431no—
951#552—861no—
952#552C2×D4311yescharacteristic
953D4×Q8—431no—
954D4×Q8C2×D4311yescharacteristic
955#548—431no—
956#548—431no—
957#547—431no—
958#547—431no—
959#547—861no—
960#547—861no—
961#546—431no—
962#546—431no—
963#546—861no—
964#546—861no—
965#544—431no—
966#538—861no—
967#538—861no—
968#537—431no—
969#537—431no—
970#537—861no—
971#536—431no—
972#536—861no—
973#529—861no—
974#529—861no—
975#525—431no—
976#525—431no—
977#525—861no—
978C2×C22⋊Q8—431no—
979C2×C22⋊Q8—861no—
980#520—431no—
981#520—431no—
982#520—431no—
983C2×#117—431no—
984#491—431no—
985#491C2×D4311yescharacteristic, complemented
986#489—431no—
987#489—431no—
988#488—431no—
989#488—431no—
990#487—431no—
991#487—431no—
992#485—431no—
993#485—431no—
994#485—431no—
995#485—431no—
996#485—431no—
997#485—431no—
998#485—431no—
999#485—431no—
1000#485—431no—
1001#485C2×D4311yescharacteristic
1002#483—431no—
1003#483C2×D4311yescharacteristic, complemented
1004#482—431no—
1005#482—431no—
1006#481—431no—
1007#481—431no—
1008#479—431no—
1009#479C2×D4311yescharacteristic, complemented
1010#478—431no—
1011#478—431no—
1012#477—431no—
1013#477—431no—
1014#474—431no—
1015#474—431no—
1016#470—431no—
1017#470C2×D4311yescharacteristic
1018#468—431no—
1019#468—431no—
1020#468—431no—
1021#468—431no—
1022#468—431no—
1023#468—431no—
1024#467—431no—
1025#467—431no—
1026#467—431no—
1027#467C2×D4311yescharacteristic, complemented
1028#466—431no—
1029#466—431no—
1030#465—431no—
1031#465—431no—
1032#464—431no—
1033#464—431no—
1034#463—431no—
1035#463—431no—
1036#462—431no—
1037#462C2×D4311yescharacteristic, complemented
1038#461—431no—
1039#461—431no—
1040#452—431no—
1041#452—431no—
1042#452—431no—
1043#452—431no—
1044#451—431no—
1045#451C2×D4311yescharacteristic
1046#451C2×D4311yescharacteristic, complemented
1047#450—431no—
1048#449—431no—
1049#449—431no—
1050#449—431no—
1051#449—431no—
1052#448—431no—
1053#448—431no—
1054#448—431no—
1055#447—431no—
1056#442—431no—
1057#442—431no—
1058#441—431no—
1059#441C2×D4311yescharacteristic, complemented
1060C4×SD16—431no—
1061C4×SD16—431no—
1062C4×SD16—431no—
1063C4×SD16—431no—
1064#436—431no—
1065#436—431no—
1066#435—431no—
1067#435—431no—
1068#435—431no—
1069#435C2×D4311yescharacteristic
1070C8×D4—431no—
1071C8×D4—431no—
1072#428—431no—
1073C2×#107—431no—
1074C2×#106—431no—
1075#424—431no—
1076#419—431no—
1077#419—431no—
1078#419—431no—
1079#419—431no—
1080#419C2×D4311yescharacteristic
1081#418—431no—
1082#418—431no—
1083#417—431no—
1084#417—431no—
1085#417—431no—
1086#417—431no—
1087#417—431no—
1088#417—431no—
1089#417—431no—
1090#416—431no—
1091#416—431no—
1092#416—431no—
1093#416—431no—
1094#416—431no—
1095#416—431no—
1096#416—431no—
1097#416—431no—
1098C2×#103—431no—
1099C2×#103—431no—
1100C2×#103—431no—
1101C2×#103C2×D4311yescharacteristic, complemented
1102#408—431no—
1103C2×C22⋊C8—431no—
1104#405—431no—
1105C43#6119711yescharacteristic, complemented, Sylow
11062−1+4—864no—
11072−1+4—1722no—
1108C2×#41—431no—
1109C2×#41—431no—
1110C2×#41—431no—
1111C2×#41—431no—
1112C2×#41—431no—
1113C2×#41—431no—
1114C2×#41—431no—
1115C2×#41—431no—
1116C2×#41—861no—
1117C2×#41—861no—
1118C2×#41—861no—
1119C2×#41—861no—
1120C2×#41—861no—
1121C2×#41—864no—
1122C2×#41—1722no—
1123C22×Q8—431no—
1124C22×Q8—431no—
1125C22×Q8—861no—
1126C22×Q8C22×D4311yescharacteristic
1127C22×Q8C22×D4311yescharacteristic
1128C22×D4—431no—
1129C22×D4—861no—
1130C23×C4—431no—
1131C23×C4—861no—
1132#137—1722no—
1133#135—864no—
1134#135—1722no—
1135C2×Q16—431no—
1136C2×Q16C22×D4311yescharacteristic
1137C2×Q16C22×D4311yescharacteristic
1138C2×Q16C22×D4311yescharacteristic
1139C2×SD16—431no—
1140C2×SD16—431no—
1141C2×SD16—431no—
1142C2×SD16—431no—
1143C2×SD16—431no—
1144C2×SD16—431no—
1145C2×D8—431no—
1146C2×D8—431no—
1147#131—1722no—
1148C2×M16—431no—
1149C2×M16—431no—
1150C2×M16—431no—
1151C2×M16—431no—
1152C2×M16—431no—
1153C2×M16—1722no—
1154C2×M16C22×D4311yescharacteristic
1155C22×C8—431no—
1156C22×C8—431no—
1157C22×C8—431no—
1158C22×C8—431no—
1159C22×C8—431no—
1160C22×C8C22×D4311yescharacteristic
1161C4⋊Q8—21no—
1162C4⋊Q8—431no—
1163C4⋊Q8—431no—
1164C4⋊Q8—431no—
1165C4⋊Q8—861no—
1166C4⋊Q8—861no—
1167C4⋊Q8C22×D4311yescharacteristic
1168#126—21no—
1169#126—861no—
1170#126—861no—
1171#126—861no—
1172#126—861no—
1173#126—861no—
1174#126—861no—
1175#126—861no—
1176#125—21no—
1177#125—431no—
1178#125—861no—
1179#125—861no—
1180#125C22×D4311yescharacteristic
1181#124—431no—
1182#124—431no—
1183#124—861no—
1184#124—861no—
1185#124—861no—
1186#124—861no—
1187#124—861no—
1188#124—861no—
1189#124—861no—
1190#124—861no—
1191#123—21no—
1192#123—431no—
1193#123—431no—
1194#123—861no—
1195#123—861no—
1196#123—861no—
1197#123—861no—
1198#123—861no—
1199#123—861no—
1200#123—861no—
1201#123—861no—
1202#123—861no—
1203#123—861no—
1204#123—861no—
1205#123—861no—
1206C22⋊Q8—21no—
1207C22⋊Q8—21no—
1208C22⋊Q8—431no—
1209C22⋊Q8—431no—
1210C22⋊Q8—431no—
1211C22⋊Q8—431no—
1212C22⋊Q8—431no—
1213C22⋊Q8—431no—
1214C22⋊Q8—431no—
1215C22⋊Q8—431no—
1216C22⋊Q8—861no—
1217C22⋊Q8—861no—
1218C22⋊Q8—861no—
1219C22⋊Q8—861no—
1220C22⋊Q8—861no—
1221C22⋊Q8—861no—
1222C22⋊Q8—861no—
1223C22⋊Q8—861no—
1224C22⋊Q8—861no—
1225C22⋊Q8—861no—
1226C22⋊Q8—861no—
1227C22⋊Q8—861no—
1228C22⋊Q8C22×D4311yescharacteristic
1229C22⋊Q8C22×D4311yescharacteristic
1230C22⋊Q8C22×D4311yescharacteristic
1231C22⋊Q8C22×D4311yescharacteristic
1232#121—431no—
1233#121—431no—
1234#121—431no—
1235#121—431no—
1236#121—431no—
1237#121—431no—
1238#121—431no—
1239#121—431no—
1240#121—861no—
1241#121—861no—
1242#121—861no—
1243#121—861no—
1244#121—861no—
1245#121—861no—
1246#121—861no—
1247#121—861no—
1248#121—861no—
1249#121—861no—
1250#121—861no—
1251#121—861no—
1252#121—861no—
1253#121—861no—
1254#121—861no—
1255#121—861no—
1256#120—431no—
1257#120—431no—
1258#120—861no—
1259#120—861no—
1260#120—861no—
1261C4×Q8—431no—
1262C4×Q8—431no—
1263C4×Q8—861no—
1264C4×Q8—861no—
1265C4×Q8—861no—
1266C4×Q8C22×D4311yescharacteristic
1267C4×Q8C22×D4311yescharacteristic
1268C4×D4—21no—
1269C4×D4—431no—
1270C4×D4—431no—
1271C4×D4—431no—
1272C4×D4—431no—
1273C4×D4—431no—
1274C4×D4—431no—
1275C4×D4—431no—
1276C4×D4—861no—
1277C4×D4—861no—
1278C4×D4—861no—
1279C4×D4—861no—
1280C4×D4—861no—
1281C4×D4—861no—
1282C4×D4—861no—
1283C4×D4—861no—
1284C4×D4—861no—
1285C4×D4—861no—
1286C4×D4—861no—
1287C4×D4—861no—
1288C4×D4—861no—
1289C4×D4—861no—
1290C4×D4C22×D4311yescharacteristic
1291#117—21no—
1292#117—431no—
1293#117—431no—
1294#117—431no—
1295#117—431no—
1296#117—431no—
1297#117—431no—
1298#117—431no—
1299#117—861no—
1300#117—861no—
1301#117—861no—
1302#117—861no—
1303#117—861no—
1304#117—861no—
1305#117—861no—
1306#117C22×D4311yescharacteristic
1307C2×C4⋊C4—431no—
1308C2×C4⋊C4—431no—
1309C2×C4⋊C4—431no—
1310C2×C4⋊C4—431no—
1311C2×C4⋊C4—861no—
1312C2×C4⋊C4—861no—
1313C2×C4⋊C4—861no—
1314C2×C4⋊C4—861no—
1315C2×C4⋊C4—861no—
1316C2×C4⋊C4C22×D4311yescharacteristic
1317C2×C22⋊C4—861no—
1318C2×C22⋊C4—861no—
1319C2×C22⋊C4—861no—
1320C2×C22⋊C4—861no—
1321C2×C42—861no—
1322#107—431no—
1323#107—431no—
1324#107—431no—
1325#107—431no—
1326#107—431no—
1327#107C22×D4311yescharacteristic
1328#106—431no—
1329#106—431no—
1330#106—431no—
1331#106—431no—
1332#106C22×D4311yescharacteristic
1333#106C22×D4311yescharacteristic
1334C4⋊C8—431no—
1335C4⋊C8—431no—
1336C4⋊C8—431no—
1337C4⋊C8C22×D4311yescharacteristic
1338#103—431no—
1339#103—431no—
1340#103—431no—
1341#103—431no—
1342#103—431no—
1343#103—431no—
1344#103—431no—
1345#103—431no—
1346#103—431no—
1347#103—431no—
1348#103—431no—
1349#103—431no—
1350#103—431no—
1351#103—431no—
1352#103—431no—
1353#103—431no—
1354#103C22×D4311yescharacteristic
1355#103C22×D4311yescharacteristic
1356#103C22×D4311yescharacteristic
1357#103C22×D4311yescharacteristic
1358#103C22×D4311yescharacteristic
1359#103C22×D4311yescharacteristic
1360#103C22×D4311yescharacteristic
1361#103C22×D4311yescharacteristic
1362#103C22×D4311yescharacteristic
1363#103C22×D4311yescharacteristic
1364#102—431no—
1365#102—431no—
1366#102—431no—
1367#102—431no—
1368#102—431no—
1369#102—431no—
1370#102—431no—
1371#102—431no—
1372#102—431no—
1373#102—431no—
1374#102—431no—
1375#102—431no—
1376#102—431no—
1377#102—431no—
1378C22⋊C8—431no—
1379C22⋊C8—431no—
1380C22⋊C8—431no—
1381C22⋊C8—431no—
1382C22⋊C8—431no—
1383C22⋊C8—431no—
1384C22⋊C8C22×D4311yescharacteristic
1385C22⋊C8C22×D4311yescharacteristic
1386#97—431no—
1387#97C22×D4311yescharacteristic
1388C4×C8—431no—
1389C4×C8—431no—
1390C24—431no—
1391C24—861no—
1392#41—434no—
1393#41—862no—
1394#41—862no—
1395#41—862no—
1396#41—862no—
1397#41—862no—
1398#41—862no—
1399#41—862no—
1400#41—862no—
1401#41—862no—
1402#41—862no—
1403#41—862no—
1404#41—1721no—
1405#41—1724no—
1406#41—1724no—
1407#41—1724no—
1408#41—1721no—
1409#41—1721no—
1410#41—1721no—
1411#41—1724no—
1412#41—1724no—
1413C2×Q8—21no—
1414C2×Q8—21no—
1415C2×Q8—22no—
1416C2×Q8—22no—
1417C2×Q8—41no—
1418C2×Q8—41no—
1419C2×Q8—431no—
1420C2×Q8—431no—
1421C2×Q8—861no—
1422C2×Q8—861no—
1423C2×Q8—861no—
1424C2×Q8—862no—
1425C2×Q8—862no—
1426C2×Q8—861no—
1427C2×Q8—862no—
1428C2×Q8—1721no—
1429C2×Q8—1724no—
1430C2×Q8C23×D4311yescharacteristic
1431C2×Q8C23×D4311yescharacteristic
1432C2×Q8C23×D4311yescharacteristic
1433C2×Q8C23×D4311yescharacteristic
1434C2×D4—431no—
1435C2×D4—431no—
1436C2×D4—431no—
1437C2×D4—431no—
1438C2×D4—431no—
1439C2×D4—431no—
1440C2×D4—431no—
1441C2×D4—431no—
1442C2×D4—431no—
1443C2×D4—862no—
1444C2×D4—861no—
1445C2×D4—861no—
1446C2×D4—861no—
1447C2×D4—861no—
1448C2×D4—861no—
1449C2×D4—861no—
1450C2×D4—861no—
1451C2×D4—861no—
1452C2×D4—861no—
1453C2×D4—861no—
1454C2×D4—861no—
1455C2×D4—861no—
1456C2×D4—861no—
1457C2×D4—861no—
1458C2×D4—1721no—
1459C2×D4—1724no—
1460C2×D4D4×D4311yescharacteristic
1461C22×C4—21no—
1462C22×C4—21no—
1463C22×C4—21no—
1464C22×C4—431no—
1465C22×C4—431no—
1466C22×C4—431no—
1467C22×C4—431no—
1468C22×C4—431no—
1469C22×C4—431no—
1470C22×C4—861no—
1471C22×C4—862no—
1472C22×C4—862no—
1473C22×C4—861no—
1474C22×C4—861no—
1475C22×C4—861no—
1476C22×C4—861no—
1477C22×C4—861no—
1478C22×C4—861no—
1479C22×C4—861no—
1480C22×C4—861no—
1481C22×C4—861no—
1482C22×C4—861no—
1483C22×C4—861no—
1484C22×C4—861no—
1485C22×C4—861no—
1486C22×C4—861no—
1487C22×C4—861no—
1488C22×C4—861no—
1489C22×C4—1724no—
1490C22×C4C23×D4311yescharacteristic
1491C22×C4C23×D4311yescharacteristic
1492Q16—22no—
1493Q16—41no—
1494Q16—41no—
1495Q16—1721no—
1496SD16—862no—
1497SD16—862no—
1498SD16—1721no—
1499SD16—1721no—
1500SD16—1721no—
1501SD16—1721no—
1502D8—862no—
1503D8—1721no—
1504M16—41no—
1505M16—862no—
1506M16—862no—
1507M16—1721no—
1508M16—1721no—
1509M16—1721no—
1510C2×C8—41no—
1511C2×C8—431no—
1512C2×C8—431no—
1513C2×C8—431no—
1514C2×C8—431no—
1515C2×C8—862no—
1516C2×C8—862no—
1517C2×C8—1721no—
1518C2×C8—1721no—
1519C2×C8—1721no—
1520C2×C8C23×D4311yescharacteristic
1521C2×C8C23×D4311yescharacteristic
1522C2×C8C23×D4311yescharacteristic
1523C2×C8C23×D4311yescharacteristic
1524C4⋊C4—21no—
1525C4⋊C4—21no—
1526C4⋊C4—21no—
1527C4⋊C4—21no—
1528C4⋊C4—21no—
1529C4⋊C4—21no—
1530C4⋊C4—21no—
1531C4⋊C4—21no—
1532C4⋊C4—21no—
1533C4⋊C4—21no—
1534C4⋊C4—21no—
1535C4⋊C4—431no—
1536C4⋊C4—431no—
1537C4⋊C4—431no—
1538C4⋊C4—431no—
1539C4⋊C4—431no—
1540C4⋊C4—431no—
1541C4⋊C4—431no—
1542C4⋊C4—431no—
1543C4⋊C4—431no—
1544C4⋊C4—861no—
1545C4⋊C4—861no—
1546C4⋊C4—861no—
1547C4⋊C4—861no—
1548C4⋊C4—861no—
1549C4⋊C4—861no—
1550C4⋊C4—861no—
1551C4⋊C4—861no—
1552C4⋊C4—861no—
1553C4⋊C4—861no—
1554C4⋊C4—861no—
1555C4⋊C4—861no—
1556C4⋊C4—861no—
1557C4⋊C4—861no—
1558C4⋊C4—861no—
1559C4⋊C4—861no—
1560C4⋊C4—861no—
1561C4⋊C4—861no—
1562C4⋊C4D4×D4311yescharacteristic
1563C4⋊C4C23×D4311yescharacteristic
1564C4⋊C4C23×D4311yescharacteristic
1565C4⋊C4C23×D4311yescharacteristic
1566C4⋊C4C23×D4311yescharacteristic
1567C22⋊C4—21no—
1568C22⋊C4—21no—
1569C22⋊C4—21no—
1570C22⋊C4—21no—
1571C22⋊C4—21no—
1572C22⋊C4—431no—
1573C22⋊C4—431no—
1574C22⋊C4—431no—
1575C22⋊C4—431no—
1576C22⋊C4—431no—
1577C22⋊C4—431no—
1578C22⋊C4—431no—
1579C22⋊C4—431no—
1580C22⋊C4—861no—
1581C22⋊C4—861no—
1582C22⋊C4—861no—
1583C22⋊C4—861no—
1584C22⋊C4—861no—
1585C22⋊C4—861no—
1586C22⋊C4—861no—
1587C22⋊C4—861no—
1588C22⋊C4—861no—
1589C22⋊C4—861no—
1590C22⋊C4—861no—
1591C22⋊C4—861no—
1592C22⋊C4—861no—
1593C22⋊C4—861no—
1594C22⋊C4—861no—
1595C22⋊C4—861no—
1596C22⋊C4—861no—
1597C22⋊C4—861no—
1598C22⋊C4—861no—
1599C22⋊C4—861no—
1600C22⋊C4—861no—
1601C22⋊C4—861no—
1602C22⋊C4—861no—
1603C22⋊C4—861no—
1604C22⋊C4—861no—
1605C22⋊C4—861no—
1606C22⋊C4D4×D4311yescharacteristic
1607C22⋊C4D4×D4311yescharacteristic
1608C42—21no—
1609C42—21no—
1610C42—21no—
1611C42—431no—
1612C42—861no—
1613C42—861no—
1614C42—861no—
1615C42—861no—
1616C42—861no—
1617C42—861no—
1618C42—861no—
1619C42—861no—
1620C42C23×D4311yescharacteristic
1621C23—431no—
1622C23—431no—
1623C23—431no—
1624C23—862no—
1625C23—861no—
1626C23—861no—
1627C23—861no—
1628C23—3441no—
1629C23—1721no—
1630C23—1721no—
1631C23—1722no—
1632C23—1722no—
1633C23C2×D4×D4311yescharacteristic
1634C23C2×D4×D4311yescharacteristic
1635Q8—21no—
1636Q8—21no—
1637Q8—21no—
1638Q8—21no—
1639Q8—21no—
1640Q8—21no—
1641Q8—21no—
1642Q8—42no—
1643Q8—42no—
1644Q8—862no—
1645Q8—861no—
1646Q8—861no—
1647Q8—3441no—
1648Q8—3441no—
1649Q8—1722no—
1650Q8—1722no—
1651Q8#41×D4312yes—
1652D4—41no—
1653D4—432no—
1654D4—862no—
1655D4—864no—
1656D4—862no—
1657D4—862no—
1658D4—861no—
1659D4—861no—
1660D4—861no—
1661D4—861no—
1662D4—861no—
1663D4—3441no—
1664D4—3441no—
1665D4—3441no—
1666D4—3441no—
1667D4—3441no—
1668D4—3441no—
1669D4—1721no—
1670D4—1722no—
1671D4—1722no—
1672D4—1722no—
1673D4—1722no—
1674D4—1722no—
1675D4—1722no—
1676D4—1721no—
1677D4—1721no—
1678D4—1722no—
1679C2×C4—21no—
1680C2×C4—21no—
1681C2×C4—21no—
1682C2×C4—21no—
1683C2×C4—21no—
1684C2×C4—21no—
1685C2×C4—21no—
1686C2×C4—21no—
1687C2×C4—21no—
1688C2×C4—21no—
1689C2×C4—21no—
1690C2×C4—21no—
1691C2×C4—42no—
1692C2×C4—42no—
1693C2×C4—81no—
1694C2×C4—431no—
1695C2×C4—432no—
1696C2×C4—432no—
1697C2×C4—431no—
1698C2×C4—431no—
1699C2×C4—431no—
1700C2×C4—431no—
1701C2×C4—862no—
1702C2×C4—864no—
1703C2×C4—862no—
1704C2×C4—862no—
1705C2×C4—861no—
1706C2×C4—861no—
1707C2×C4—861no—
1708C2×C4—861no—
1709C2×C4—861no—
1710C2×C4—861no—
1711C2×C4—861no—
1712C2×C4—861no—
1713C2×C4—861no—
1714C2×C4—3441no—
1715C2×C4—3441no—
1716C2×C4—3441no—
1717C2×C4—3441no—
1718C2×C4—3441no—
1719C2×C4—3441no—
1720C2×C4—3441no—
1721C2×C4—3441no—
1722C2×C4—1722no—
1723C2×C4—1722no—
1724C2×C4—1722no—
1725C2×C4—1722no—
1726C2×C4—1722no—
1727C2×C4—1722no—
1728C2×C4—1722no—
1729C2×C4—1722no—
1730C2×C4C2×D4×D4311yescharacteristic
1731C2×C4C2×D4×D4311yescharacteristic
1732C2×C4C2×D4×D4311yescharacteristic
1733C2×C4C2×D4×D4311yescharacteristic
1734C2×C4C24×D4311yescharacteristic
1735C8—21no—
1736C8—21no—
1737C8—21no—
1738C8—21no—
1739C8—861no—
1740C8—861no—
1741C8—861no—
1742C8—861no—
1743C22—21no—
1744C22—21no—
1745C22—21no—
1746C22—21no—
1747C22—21no—
1748C22—21no—
1749C22—432no—
1750C22—861no—
1751C22—861no—
1752C22—861no—
1753C22—862no—
1754C22—861no—
1755C22—861no—
1756C22—861no—
1757C22—861no—
1758C22—861no—
1759C22—3442no—
1760C22—3444no—
1761C22—1721no—
1762C22—1721no—
1763C22—1721no—
1764C22—1721no—
1765C22—1721no—
1766C22—1721no—
1767C22—1721no—
1768C22—1721no—
1769C22C22×D4×D4311yescharacteristic
1770C4—21no—
1771C4—21no—
1772C4—22no—
1773C4—21no—
1774C4—21no—
1775C4—41no—
1776C4—41no—
1777C4—41no—
1778C4—41no—
1779C4—41no—
1780C4—41no—
1781C4—41no—
1782C4—432no—
1783C4—861no—
1784C4—861no—
1785C4—861no—
1786C4—861no—
1787C4—1721no—
1788C4—1721no—
1789C4—1721no—
1790C4—1721no—
1791C4—1721no—
1792C4C2×#41×D4311yescharacteristic
1793C4H(5,𝔽2)×D4311yescharacteristic
1794C2—41no—
1795C2—41no—
1796C2—862no—
1797C2—3441no—
1798C2—3441no—
1799C2—1721no—
1800C2—1721no—
1801C2—1722no—
1802C2#546×D4311yescharacteristic
1803C2#1914936511yescharacteristic
1804C2#1914937811yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3312C2
socleC22×C43C23×D4
hypercenter#3312D43
hypocenterC43#61197
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3312

Complements

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

NH ≅ G/Ntype
1. #19148313C2semidirect
2. #19148272C2semidirect
3. #19146889C2semidirect
4. #19146885C2semidirect
5. #19146817C2semidirect
6. #19146805C2semidirect
7. #19146754C2semidirect
8. #19146753C2semidirect
9. #19146666C2semidirect
10. #19146654C2semidirect
11. #19146639C2semidirect
12. #19146574C2semidirect
13. #19146570C2semidirect
14. #19146515C2semidirect
15. #19146507C2semidirect
16. #19146494C2semidirect
17. #19146493C2semidirect
18. #19144961C2semidirect
19. #19144579C2semidirect
20. #485×D43C2semidirect
21. #19144449C2semidirect
22. #19144266C2semidirect
23. #19144224C2semidirect
24. #19144142C2semidirect
25. #19143911C2semidirect
26. #19143818C2semidirect
27. #19143475C2semidirect
28. #19143318C2semidirect
29. #19143123C2semidirect
30. #19143113C2semidirect
31. C43×#3312C2semidirect
34. C2×#13063357C22semidirect
37. C2×#13063331C22semidirect
39. #14583622C22semidirect
40. #14583620C22semidirect
45. #14583602C22semidirect
46. #14583597C22semidirect
61. #14583529C22semidirect
66. #14583479C22semidirect
77. #14583381C22semidirect
78. #14583380C22semidirect
80. #14583266C22semidirect
81. #14583260C22semidirect
82. #14583259C22semidirect
83. #14583256C22semidirect
84. #14583255C22semidirect
85. #14583249C22semidirect
86. #14583248C22semidirect
87. #14583243C22semidirect
88. #14583242C22semidirect
91. #14583239C22semidirect
92. #14583239C22semidirect
93. #14583238C22semidirect
95. #14583237C22semidirect
96. #14583228C22semidirect
97. #14583225C22semidirect
98. #14583224C22semidirect
99. #14583219C22semidirect
100. #14583217C22semidirect
101. #14583208C22semidirect
102. #14583198C22semidirect
103. #14583196C22semidirect
104. #14583194C22semidirect
105. #14583192C22semidirect
106. #14583180C22semidirect
107. #14583178C22semidirect
109. #14583148C22semidirect
110. #14583148C22semidirect
112. #14583147C22semidirect
113. #14583147C22semidirect
115. #14583139C22semidirect
116. #14583137C22semidirect
117. #14583137C22semidirect
118. #14583136C22semidirect
119. #14583135C22semidirect
120. #14583131C22semidirect
121. #14583129C22semidirect
122. #14583123C22semidirect
123. #14583121C22semidirect
124. #14583117C22semidirect
125. #14583115C22semidirect
126. #14583107C22semidirect
127. #14583103C22semidirect
128. #14583101C22semidirect
131. #14583060C22semidirect
132. #14583059C22semidirect
133. #14583053C22semidirect
137. #14583047C22semidirect
138. #14583046C22semidirect
139. #14583039C22semidirect
141. #14583038C22semidirect
143. #14583012C22semidirect
144. #14583010C22semidirect
145. #14583006C22semidirect
146. C4×#10621884C22semidirect
147. C4×#10621884C22semidirect
148. #14582984C22semidirect
149. #14582984C22semidirect
153. #14582973C22semidirect
154. #14582972C22semidirect
155. #14582964C22semidirect
156. C8×C22⋊D43C22semidirect
157. #14582938C22semidirect
158. #107×D43C22semidirect
159. #106×D43C22semidirect
160. #14582924C22semidirect
162. #14582908C22semidirect
163. #14582906C22semidirect
164. #14582906C22semidirect
171. #14582899C22semidirect
172. #14582899C22semidirect
173. #14582898C22semidirect
174. #14582896C22semidirect
181. #14582894C22semidirect
182. #103×D43C22semidirect
183. #103×D43C22semidirect
184. #103×D43C22semidirect
185. #14582864C22semidirect
187. #14582856C22semidirect
190. C43×#491C22semidirect
192. C43×#483C22semidirect
193. C43×#479C22semidirect
195. C43×#467C22semidirect
196. C43×#462C22semidirect
198. C43×#451C22semidirect
199. C43×#441C22semidirect
202. C2×#103×C43C22semidirect
903. #3312D43semidirect
985. #491C2×D43semidirect
1003. #483C2×D43semidirect
1009. #479C2×D43semidirect
1027. #467C2×D43semidirect
1037. #462C2×D43semidirect
1046. #451C2×D43semidirect
1059. #441C2×D43semidirect
1101. C2×#103C2×D43semidirect
1105. C43#61197semidirect

Maximal subgroups

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

subgroupindex
#191483132
#191482722
#191468892
#191468852
#191468172
#191468052
#191467542
#191467532
#191466662
#191466542
#191466392
#191465742
#191465702
#191465152
#191465072
#191464942
#191464932
#191449612
#191445792
#485×D432
#191444492
#191442662
#191442242
#191441422
#191439112
#191438182
#191434752
#191433182
#191431232
#191431132
C43×#33122
#6119743