Finite Group Databasebeta

← #25974037

Subgroups — #25974037

Order 11008.

2102 conjugacy classes of subgroups.

The subgroup lattice has 1840 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19148303C211yesmaximal, characteristic, complemented
2#19148234C211yesmaximal, characteristic, complemented
3#19146906C211yesmaximal, characteristic, complemented
4#19146899C211yesmaximal, characteristic, complemented
5#19146896C211yesmaximal, characteristic, complemented
6#19146817C211yesmaximal, characteristic, complemented
7#19146816C211yesmaximal, characteristic, complemented
8#19146798C211yesmaximal, characteristic, complemented
9#19146797C211yesmaximal, characteristic, complemented
10#19146698C211yesmaximal, characteristic, complemented
11#19146695C211yesmaximal, characteristic, complemented
12#19146670C211yesmaximal, characteristic, complemented
13#19146669C211yesmaximal, characteristic, complemented
14#19146574C211yesmaximal, characteristic, complemented
15#19146571C211yesmaximal, characteristic, complemented
16#19146554C211yesmaximal, characteristic, complemented
17#19146553C211yesmaximal, characteristic, complemented
18#19144955C211yesmaximal, characteristic, complemented
19#19144557C211yesmaximal, characteristic, complemented
20#19144519C211yesmaximal, characteristic, complemented
21#19144421C211yesmaximal, characteristic, complemented
22#19144283C211yesmaximal, characteristic, complemented
23#19144206C211yesmaximal, characteristic, complemented
24#19144142C211yesmaximal, characteristic, complemented
25#19143903C211yesmaximal, characteristic, complemented
26#19143838C211yesmaximal, characteristic, complemented
27#19143422C211yesmaximal, characteristic, complemented
28#19143295C211yesmaximal, characteristic, complemented
29#19143119C211yesmaximal, characteristic, complemented
30#417×D43C211yesmaximal, characteristic, complemented
31C43×#3331C211yesmaximal, characteristic, complemented
32C2×#13063371C2211yescharacteristic
33C2×#41×D43C2211yescharacteristic
34C2×#13063357C2211yescharacteristic, complemented
35C2×#13063352C2211yescharacteristic
36C2×#13063348C2211yescharacteristic
37C2×#13063333C2211yescharacteristic
38C2×M16×D43C2211yescharacteristic, complemented
39#14583607C2211yescharacteristic, complemented
40#14583603—21no—
41#14583598—21no—
42#14583597C2211yescharacteristic, complemented
43#14583595C2211yescharacteristic, complemented
44#14583590C2211yescharacteristic, complemented
45#14583583C2211yescharacteristic, complemented
46#14583581—21no—
47#14583552C2211yescharacteristic
48#14583552C2211yescharacteristic, complemented
49#14583551—21no—
50#14583551C2211yescharacteristic
51#14583550—21no—
52#14583550C2211yescharacteristic, complemented
53#14583548C2211yescharacteristic
54#14583547—21no—
55#14583545C2211yescharacteristic
56#14583544C2211yescharacteristic
57#14583541—21no—
58#14583540C2211yescharacteristic
59#14583538—21no—
60#14583537C2211yescharacteristic
61#14583526C2211yescharacteristic, complemented
62#14583497—21no—
63#14583495—21no—
64#14583479C2211yescharacteristic
65#14583474C2211yescharacteristic
66#14583472C2211yescharacteristic
67#14583460—21no—
68#14583457—21no—
69#14583412—21no—
70#14583412C2211yescharacteristic
71#14583412C2211yescharacteristic, complemented
72#14583408—21no—
73#14583408C2211yescharacteristic
74C2×#13063310—21no—
75#123×D43—21no—
76#14583381C2211yescharacteristic, complemented
77#14583380C2211yescharacteristic
78#14583371C2211yescharacteristic
79C2×C4⋊C4×D43C2211yescharacteristic, complemented
80#14583267C2211yescharacteristic, complemented
81#14583266C2211yescharacteristic, complemented
82#14583261C2211yescharacteristic, complemented
83#14583260C2211yescharacteristic, complemented
84#14583255C2211yescharacteristic, complemented
85#14583254C2211yescharacteristic, complemented
86#14583248C2211yescharacteristic, complemented
87#14583243C2211yescharacteristic, complemented
88#14583241C2211yescharacteristic, complemented
89#14583238C2211yescharacteristic, complemented
90#14583237C2211yescharacteristic, complemented
91#14583234C2211yescharacteristic, complemented
92#14583233C2211yescharacteristic, complemented
93#14583233C2211yescharacteristic, complemented
94#14583233C2211yescharacteristic, complemented
95#14583231C2211yescharacteristic, complemented
96#14583227C2211yescharacteristic, complemented
97#14583219C2211yescharacteristic, complemented
98#14583219C2211yescharacteristic, complemented
99#14583213C2211yescharacteristic, complemented
100#14583212C2211yescharacteristic, complemented
101#14583201C2211yescharacteristic, complemented
102#14583200C2211yescharacteristic, complemented
103#14583199C2211yescharacteristic, complemented
104#14583198C2211yescharacteristic, complemented
105#14583188C2211yescharacteristic, complemented
106#14583177C2211yescharacteristic, complemented
107#14583176C2211yescharacteristic, complemented
108#14583156C2211yescharacteristic, complemented
109#14583154C2211yescharacteristic, complemented
110#14583153C2211yescharacteristic, complemented
111#14583152C2211yescharacteristic, complemented
112#14583148C2211yescharacteristic, complemented
113#14583148C2211yescharacteristic, complemented
114#14583148C2211yescharacteristic, complemented
115#14583147C2211yescharacteristic, complemented
116#14583147C2211yescharacteristic, complemented
117#14583145C2211yescharacteristic, complemented
118#14583138C2211yescharacteristic, complemented
119#14583137C2211yescharacteristic, complemented
120#14583130C2211yescharacteristic, 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, complemented
130#14583060C2211yescharacteristic, complemented
131#14583059C2211yescharacteristic, complemented
132#14583058C2211yescharacteristic, complemented
133#14583049C2211yescharacteristic, complemented
134#14583048C2211yescharacteristic, complemented
135#14583047C2211yescharacteristic, complemented
136#14583047C2211yescharacteristic, complemented
137#14583046C2211yescharacteristic, complemented
138#14583045C2211yescharacteristic, complemented
139#14583044C2211yescharacteristic, complemented
140#14583044C2211yescharacteristic, complemented
141#14583035C2211yescharacteristic, complemented
142#14583034C2211yescharacteristic, complemented
143#14583010C2211yescharacteristic, complemented
144#14583009C2211yescharacteristic, complemented
145#14583000C2211yescharacteristic, complemented
146#14582997C2211yescharacteristic, complemented
147#14582984C2211yescharacteristic, complemented
148C4×D344C2211yescharacteristic, complemented
149#14582979C2211yescharacteristic, complemented
150#14582978C2211yescharacteristic, complemented
151#14582975C2211yescharacteristic, complemented
152#14582975C2211yescharacteristic, complemented
153#14582973C2211yescharacteristic, complemented
154#14582971C2211yescharacteristic, complemented
155#14582969C2211yescharacteristic, complemented
156#14582967C2211yescharacteristic, complemented
157#14582938C2211yescharacteristic, complemented
158#14582938C2211yescharacteristic, complemented
159#14582934C2211yescharacteristic, complemented
160#14582924C2211yescharacteristic, complemented
161#14582906C2211yescharacteristic, complemented
162#14582905C2211yescharacteristic, complemented
163#14582902C2211yescharacteristic
164#14582902C2211yescharacteristic, complemented
165#14582901C2211yescharacteristic, complemented
166#14582900C2211yescharacteristic, complemented
167#14582899C2211yescharacteristic
168#14582899C2211yescharacteristic
169#14582899C2211yescharacteristic, complemented
170#14582899C2211yescharacteristic, complemented
171#14582899C2211yescharacteristic, complemented
172#14582898C2211yescharacteristic, complemented
173#14582897C2211yescharacteristic, complemented
174#14582897C2211yescharacteristic, complemented
175#14582895C2211yescharacteristic, complemented
176#14582894C2211yescharacteristic
177#14582894C2211yescharacteristic, complemented
178#14582894C2211yescharacteristic, complemented
179#103×D43C2211yescharacteristic, complemented
180#103×D43C2211yescharacteristic, complemented
181C2×#13063245C2211yescharacteristic, complemented
182#102×D43C2211yescharacteristic
183#102×D43C2211yescharacteristic
184#102×D43C2211yescharacteristic, complemented
185#14582864C2211yescharacteristic
186#14582861C2211yescharacteristic, complemented
187#14582853C2211yescharacteristic, complemented
188C43×#554C2211yescharacteristic, complemented
189C43×#547C2211yescharacteristic
190C43×#487C2211yescharacteristic, complemented
191C43×#483C2211yescharacteristic, complemented
192C43×#483C2211yescharacteristic, complemented
193C43×#476C2211yescharacteristic, complemented
194C43×#470C2211yescharacteristic, complemented
195C43×#470C2211yescharacteristic, complemented
196C43×#462C2211yescharacteristic, complemented
197C43×#452C2211yescharacteristic, complemented
198C43×#452C2211yescharacteristic, complemented
199C4×SD16×C43C2211yescharacteristic, complemented
200C43×#436C2211yescharacteristic, complemented
201C43×#417C2211yescharacteristic, complemented
202C43×#417C2211yescharacteristic, complemented
203#13063371—24no—
204#13063371—42no—
205C2×#10621902—21no—
206C2×#10621902C2311yescharacteristic
207C2×#10621902C2311yescharacteristic
208C2×#10621902C2311yescharacteristic
209C2×#10621902C2311yescharacteristic
210C2×#10621898—21no—
211C2×#10621898—21no—
212C2×#10621898—21no—
213C2×#10621898C2311yescharacteristic
214C2×#10621898C2311yescharacteristic
215C2×#10621900—21no—
216C2×#10621900C2311yescharacteristic
217#41×D43—24no—
218#41×D43—42no—
219C2×Q8×D43C2311yescharacteristic
220C22×D172—21no—
221C22×D172C2311yescharacteristic
222C2×D4×D43—21no—
223C2×D4×D43—21no—
224C2×D4×D43—21no—
225C2×D4×D43C2311yescharacteristic
226C2×D4×D43C2311yescharacteristic
227C22×C4×D43—21no—
228C22×C4×D43—21no—
229C22×C4×D43C2311yescharacteristic
230#13063357—42no—
231#13063352—24no—
232#13063348—42no—
233C2×#10621885C2311yescharacteristic
234C2×#10621873C2311yescharacteristic
235C2×#10621884C2311yescharacteristic
236C2×#10621884C2311yescharacteristic
237C2×#10621884C2311yescharacteristic
238C2×#10621884C2311yescharacteristic
239C2×D344C2311yescharacteristic
240C2×D344C2311yescharacteristic
241C2×#10621882C2311yescharacteristic
242#13063333—42no—
243C2×#10621877C2311yescharacteristic
244C2×#10621872C2311yescharacteristic
245C2×#10621872C2311yescharacteristic
246C2×#10621872C2311yescharacteristic
247C2×#10621872C2311yescharacteristic
248C2×#10621872C2311yescharacteristic
249M16×D43—42no—
250C22×C43⋊C8C2311yescharacteristic
251C2×C8×D43C2311yescharacteristic
252C2×C8×D43C2311yescharacteristic
253C2×C8×D43C2311yescharacteristic
254#13063324—21no—
255#13063324C2311yescharacteristic
256#13063323—21no—
257#13063323C2311yescharacteristic
258#13063320—21no—
259#13063320—21no—
260#13063319—21no—
261#13063318—21no—
262#13063317C2311yescharacteristic
263#13063316C2311yescharacteristic
264#13063315—21no—
265#13063315—21no—
266#13063315—21no—
267#13063315—21no—
268#13063314C2311yescharacteristic
269#13063313C2311yescharacteristic
270#13063311—21no—
271#13063310—21no—
272#13063310—21no—
273#13063310—21no—
274#13063310—21no—
275#13063310—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#13063309—21no—
288#13063308—21no—
289#13063308—21no—
290#13063308—21no—
291#13063307—21no—
292#13063307—21no—
293#13063307—21no—
294#13063307—21no—
295#13063307D411yescharacteristic
296#13063306—21no—
297#13063305—21no—
298#13063305C2311yescharacteristic
299#13063304C2311yescharacteristic
300#13063303—21no—
301#13063303—21no—
302#13063303—21no—
303#13063303—21no—
304#13063303—21no—
305#13063303D411yescharacteristic
306#13063302—21no—
307#13063302D411yescharacteristic
308#13063301—21no—
309#13063301—21no—
310#13063301C2311yescharacteristic
311#13063301C2311yescharacteristic
312#13063301C2311yescharacteristic
313#13063301C2311yescharacteristic
314#13063300—21no—
315#13063300—21no—
316#13063300—21no—
317#13063300C2311yescharacteristic
318#13063300C2311yescharacteristic
319#13063300C2311yescharacteristic
320#13063299—21no—
321#13063299—21no—
322#13063299C2311yescharacteristic
323#13063299C2311yescharacteristic
324#13063299C2311yescharacteristic
325#13063298—21no—
326#13063298—21no—
327#13063298—21no—
328#13063298—21no—
329#13063298D411yescharacteristic
330#13063297—21no—
331#13063297—21no—
332#13063297—21no—
333#13063297D411yescharacteristic
334#13063295—21no—
335#13063295—21no—
336#13063295—21no—
337#13063295—21no—
338#13063295D411yescharacteristic
339#13063293—21no—
340#13063293—21no—
341#13063293D411yescharacteristic
342Q8×Dic43C2311yescharacteristic
343#13063290—21no—
344C4×D172—21no—
345C4×D172C2311yescharacteristic
346C4×D172C2311yescharacteristic
347C4×D172C2311yescharacteristic
348D4×Dic43C2311yescharacteristic
349#13063287—21no—
350#13063287—21no—
351#13063287—21no—
352#13063287—21no—
353#13063287C2311yescharacteristic
354#13063287C2311yescharacteristic
355C4×C22⋊D43—21no—
356C4×C22⋊D43—21no—
357C4×C22⋊D43—21no—
358C4×C22⋊D43—21no—
359C4×C22⋊D43C2311yescharacteristic
360C4×C22⋊D43C2311yescharacteristic
361(C22⋊D43)⋊C4—21no—
362(C22⋊D43)⋊C4—21no—
363(C22⋊D43)⋊C4—21no—
364(C22⋊D43)⋊C4—21no—
365(C22⋊D43)⋊C4—21no—
366#13063284C2311yescharacteristic
367#13063283—21no—
368#13063283C2311yescharacteristic
369#13063283C2311yescharacteristic
370#13063283C2311yescharacteristic
371#13063282—21no—
372#13063282—21no—
373#13063282C2311yescharacteristic
374C2×C4⋊Dic43C2311yescharacteristic
375C2×Dic43⋊C4—21no—
376C2×Dic43⋊C4—21no—
377C4⋊C4×D43—21no—
378C4⋊C4×D43—21no—
379C4⋊C4×D43—21no—
380C4⋊C4×D43—21no—
381C4⋊C4×D43—21no—
382C4⋊C4×D43C2311yescharacteristic
383C4⋊C4×D43C2311yescharacteristic
384C4⋊C4×D43C2311yescharacteristic
385C4⋊C4×D43C2311yescharacteristic
386C4⋊C4×D43C2311yescharacteristic
387C2×(C2×D43)⋊C4—21no—
388C2×(C2×D43)⋊C4—21no—
389C2×(C2×D43)⋊C4—21no—
390C22⋊C4×D43—21no—
391C22⋊C4×D43—21no—
392C22⋊C4×D43—21no—
393#13063259C2311yescharacteristic
394#13063259C2311yescharacteristic
395#13063258C2311yescharacteristic
396#13063258C2311yescharacteristic
397#13063258C2311yescharacteristic
398#13063258C2311yescharacteristic
399#13063257C2311yescharacteristic
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#13063248C2311yescharacteristic
416#13063248C2311yescharacteristic
417#13063248C2311yescharacteristic
418#13063247C2311yescharacteristic
419#13063247C2311yescharacteristic
420#13063247C2311yescharacteristic
421#13063247C2311yescharacteristic
422#13063247C2311yescharacteristic
423#13063247C2311yescharacteristic
424#13063247C2311yescharacteristic
425#13063246C2311yescharacteristic
426#13063246C2311yescharacteristic
427#13063246C2311yescharacteristic
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#13063236C2311yescharacteristic
442#13063235C2311yescharacteristic
443C8×Dic43C2311yescharacteristic
444C2×#41×C43C2311yescharacteristic
445C2×#41×C43C2311yescharacteristic
446C2×Q16×C43C2311yescharacteristic
447C2×Q16×C43C2311yescharacteristic
448C2×SD16×C43C2311yescharacteristic
449C2×M16×C43C2311yescharacteristic
450C2×M16×C43C2311yescharacteristic
451C4⋊Q8×C43C2311yescharacteristic
452C4⋊Q8×C43C2311yescharacteristic
453#125×C43—21no—
454#123×C43—21no—
455#123×C43—21no—
456C22⋊Q8×C43—21no—
457C22⋊Q8×C43—21no—
458C22⋊Q8×C43C2311yescharacteristic
459C22⋊Q8×C43C2311yescharacteristic
460C22⋊Q8×C43C2311yescharacteristic
461C22⋊Q8×C43C2311yescharacteristic
462#121×C43—21no—
463C4×Q8×C43C2311yescharacteristic
464C4×D4×C43—21no—
465C4×D4×C43C2311yescharacteristic
466C4×D4×C43C2311yescharacteristic
467C2×C4⋊C4×C43—21no—
468C2×C4⋊C4×C43C2311yescharacteristic
469C2×C4⋊C4×C43C2311yescharacteristic
470#106×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#102×C43C2311yescharacteristic
482#102×C43C2311yescharacteristic
483#102×C43C2311yescharacteristic
484C22⋊C8×C43C2311yescharacteristic
485C22⋊C8×C43C2311yescharacteristic
486C4×C8×C43C2311yescharacteristic
487C23×D43—21no—
488C23×D43—21no—
489C23×D43—21no—
490C23×D43C2×D411yescharacteristic
491#41×C43—22no—
492#41×C43—22no—
493#41×C43—41no—
494#41×C43—41no—
495C2×Q8×C43—21no—
496C2×Q8×C43C2411yescharacteristic
497C2×Q8×C43C2411yescharacteristic
498C2×Q8×C43C2411yescharacteristic
499C2×D4×C43—21no—
500C2×D4×C43—21no—
501C2×D4×C43C2×D411yescharacteristic
502C2×D4×C43C2411yescharacteristic
503C22×C4×C43—21no—
504C22×C4×C43—21no—
505C22×C4×C43—21no—
506C22×C4×C43—21no—
507C22×C4×C43—21no—
508C22×C4×C43C2411yescharacteristic
509C22×C4×C43C2411yescharacteristic
510C2×C22⋊D43—21no—
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⋊D43C2×D411yescharacteristic
518C2×C22⋊D43C2×D411yescharacteristic
519C2×C22⋊D43C2×D411yescharacteristic
520C2×C22⋊D43C2×D411yescharacteristic
521C22×Dic43—21no—
522C22×Dic43—21no—
523C22×Dic43—21no—
524C22×Dic43C2×D411yescharacteristic
525#10621902—22no—
526#10621902—22no—
527#10621902—22no—
528#10621902—22no—
529#10621902—22no—
530#10621902—22no—
531#10621902—41no—
532#10621902—41no—
533#10621902—82no—
534Q8×D43—22no—
535Q8×D43—22no—
536#10621900—22no—
537#10621900—41no—
538#10621900—44no—
539D4×D43—22no—
540D4×D43—22no—
541D4×D43—44no—
542D4×D43—44no—
543D4×D43—41no—
544D4×D43—44no—
545D4×D43#4114yescomplemented
546#10621898—22no—
547#10621898—22no—
548#10621898—22no—
549#10621898—41no—
550#10621898—44no—
551#10621898—44no—
552#10621898—82no—
553C2×D172—21no—
554C2×D172—21no—
555C2×D172—21no—
556C2×D172—21no—
557C2×D172—21no—
558C2×D172—21no—
559C2×D172—21no—
560C2×D172—21no—
561C2×D172—22no—
562C2×D172—44no—
563C2×D172—41no—
564C2×D172C2×D411yescharacteristic
565C2×D172C2×D411yescharacteristic
566C2×D172C2411yescharacteristic
567C2×D172C2411yescharacteristic
568C2×D172C2411yescharacteristic
569C2×C4×D43—22no—
570C2×C4×D43—22no—
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—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—21no—
586C2×C4×D43—44no—
587C2×C4×D43—82no—
588C2×C4×D43C2×D411yescharacteristic
589C2×C4×D43C2×D411yescharacteristic
590C2×C4×D43C2411yescharacteristic
591C2×C4×D43C2411yescharacteristic
592C2×C4×D43C2411yescharacteristic
593C2×Dic86—21no—
594C2×Dic86—21no—
595C2×Dic86C2×D411yescharacteristic
596C2×Dic86C2411yescharacteristic
597Q16×C43—41no—
598Q16×C43—41no—
599SD16×C43—22no—
600M16×C43—41no—
601M16×C43—41no—
602C2×C8×C43C2411yescharacteristic
603C2×C8×C43C2411yescharacteristic
604C2×C8×C43C2411yescharacteristic
605C2×C8×C43C2411yescharacteristic
606C4⋊C4×C43—21no—
607C4⋊C4×C43—21no—
608C4⋊C4×C43—21no—
609C4⋊C4×C43—21no—
610C4⋊C4×C43—21no—
611C4⋊C4×C43—21no—
612C4⋊C4×C43—21no—
613C4⋊C4×C43—21no—
614C4⋊C4×C43—21no—
615C4⋊C4×C43—21no—
616C4⋊C4×C43C2×D411yescharacteristic
617C4⋊C4×C43C2411yescharacteristic
618C4⋊C4×C43C2411yescharacteristic
619C4⋊C4×C43C2411yescharacteristic
620C4⋊C4×C43C2411yescharacteristic
621C22⋊C4×C43—21no—
622C22⋊C4×C43—21no—
623C22⋊C4×C43—21no—
624C22⋊C4×C43—21no—
625C22⋊C4×C43—21no—
626C22⋊C4×C43C2×D411yescharacteristic
627C22⋊C4×C43C2×D411yescharacteristic
628C42×C43—21no—
629C42×C43C2411yescharacteristic
630C22⋊Dic43—21no—
631C22⋊Dic43—21no—
632C22⋊Dic43—21no—
633C22⋊Dic43C2×D411yescharacteristic
634C22⋊Dic43C2×D411yescharacteristic
635#10621885—41no—
636#10621884—22no—
637#10621884—41no—
638#10621884—41no—
639#10621884—41no—
640#10621882—22no—
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)⋊C4—21no—
660(C2×D43)⋊C4—21no—
661(C2×D43)⋊C4—21no—
662(C2×D43)⋊C4—21no—
663(C2×D43)⋊C4C2×D411yescharacteristic
664(C2×D43)⋊C4C2×D411yescharacteristic
665(C2×D43)⋊C4C2×D411yescharacteristic
666(C2×D43)⋊C4C2×D411yescharacteristic
667(C2×D43)⋊C4C2×D411yescharacteristic
668(C2×D43)⋊C4C2×D411yescharacteristic
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⋊C4—21no—
691Dic43⋊C4—21no—
692Dic43⋊C4—21no—
693Dic43⋊C4—21no—
694Dic43⋊C4C2×D411yescharacteristic
695Dic43⋊C4C2×D411yescharacteristic
696Dic43⋊C4C2×D411yescharacteristic
697Dic43⋊C4C2×D411yescharacteristic
698C4×Dic43—21no—
699C4×Dic43—21no—
700C4×Dic43—21no—
701C4×Dic43—21no—
702C4×Dic43—21no—
703C4×Dic43C2411yescharacteristic
704#10621877—41no—
705C2×C43⋊C8—41no—
706C2×C43⋊C8C2411yescharacteristic
707C2×C43⋊C8C2411yescharacteristic
708C2×C43⋊C8C2411yescharacteristic
709C2×C43⋊C8C2411yescharacteristic
710D344—22no—
711D344—41no—
712#10621873—41no—
713#10621872—22no—
714#10621872—22no—
715#10621872—41no—
716#10621872—41no—
717#10621872—41no—
718C8×D43—22no—
719C8×D43—22no—
720C8×D43—41no—
721C23×C43—21no—
722C23×C43C22×D411yescharacteristic
723C23×C43C22×D411yescharacteristic
724C22×D43—21no—
725C22×D43—22no—
726C22×D43—24no—
727C22×D43—21no—
728C22×D43—21no—
729C22×D43—41no—
730C22×D43—41no—
731C22×D43—42no—
732C22×D43—42no—
733C22×D43—81no—
734C22×D43—81no—
735C22×D43—81no—
736C22×D43—81no—
737C22×D43—81no—
738C22×D43—81no—
739C22×D43C22×D411yescharacteristic
740C22×D43C22×D411yescharacteristic
741C22×D43C22×D411yescharacteristic
742Q8×C43—21no—
743Q8×C43—21no—
744Q8×C43—21no—
745Q8×C43—21no—
746Q8×C43—21no—
747Q8×C43—21no—
748Q8×C43—81no—
749D4×C43—21no—
750D4×C43—41no—
751D4×C43—42no—
752D4×C43—42no—
753D4×C43C2×#4112yes—
754C2×C4×C43—21no—
755C2×C4×C43—21no—
756C2×C4×C43—21no—
757C2×C4×C43—21no—
758C2×C4×C43—21no—
759C2×C4×C43—21no—
760C2×C4×C43—21no—
761C2×C4×C43—21no—
762C2×C4×C43—21no—
763C2×C4×C43—21no—
764C2×C4×C43—21no—
765C2×C4×C43—42no—
766C2×C4×C43—42no—
767C2×C4×C43—81no—
768C2×C4×C43—81no—
769C2×C4×C43—81no—
770C2×C4×C43C22×D411yescharacteristic
771C2×C4×C43C22×D411yescharacteristic
772C2×C4×C43C22×D411yescharacteristic
773C2×C4×C43C22×D411yescharacteristic
774C2×C4×C43C2511yescharacteristic
775C22⋊D43—22no—
776C22⋊D43—22no—
777C22⋊D43—24no—
778C22⋊D43—41no—
779C22⋊D43—41no—
780C22⋊D43—42no—
781C22⋊D43—42no—
782C22⋊D43—42no—
783C22⋊D43—42no—
784C22⋊D43—81no—
785C22⋊D43—81no—
786C2×Dic43—22no—
787C2×Dic43—21no—
788C2×Dic43—21no—
789C2×Dic43—21no—
790C2×Dic43—21no—
791C2×Dic43—21no—
792C2×Dic43—42no—
793C2×Dic43—81no—
794C2×Dic43—81no—
795C2×Dic43C22×D411yescharacteristic
796C2×Dic43C22×D411yescharacteristic
797C2×Dic43C22×D411yescharacteristic
798C2×Dic43C22×D411yescharacteristic
799C2×Dic43C22×D411yescharacteristic
800D172—22no—
801D172—21no—
802D172—21no—
803D172—21no—
804D172—21no—
805D172—21no—
806D172—41no—
807D172—42no—
808D172—42no—
809D172—42no—
810D172—42no—
811D172—42no—
812D172—42no—
813D172—81no—
814D172—81no—
815D172C2×#4112yes—
816C4×D43—22no—
817C4×D43—21no—
818C4×D43—21no—
819C4×D43—21no—
820C4×D43—21no—
821C4×D43—22no—
822C4×D43—42no—
823C4×D43—42no—
824C4×D43—42no—
825C4×D43—42no—
826C4×D43—42no—
827C4×D43—42no—
828C4×D43—42no—
829C4×D43—42no—
830C4×D43—81no—
831C4×D43—81no—
832C4×D43—81no—
833C4×D43—81no—
834C4×D43—81no—
835C4×D43—81no—
836C4×D43—81no—
837C4×D43C2×#4112yes—
838C4×D43H(5,𝔽2)12yes—
839Dic86—22no—
840Dic86—21no—
841Dic86—21no—
842Dic86—42no—
843Dic86—81no—
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#61177—431nomaximal, Sylow
853C22×C43—21no—
854C22×C43—21no—
855C22×C43—21no—
856C22×C43—21no—
857C22×C43—22no—
858C22×C43—21no—
859C22×C43—21no—
860C22×C43—41no—
861C22×C43—41no—
862C22×C43C23×D411yescharacteristic
863C2×D43—21no—
864C2×D43—21no—
865C2×D43—21no—
866C2×D43—21no—
867C2×D43—21no—
868C2×D43—21no—
869C2×D43—22no—
870C2×D43—21no—
871C2×D43—21no—
872C2×D43—44no—
873C2×D43—41no—
874C2×D43—41no—
875C2×D43—41no—
876C2×D43—41no—
877C2×D43—41no—
878C2×D43—41no—
879C2×D43—41no—
880C2×D43—41no—
881C2×D43—84no—
882C2×D43—162no—
883C2×D43—162no—
884C2×D43#54612yes—
885C4×C43—21no—
886C4×C43—21no—
887C4×C43—21no—
888C4×C43—21no—
889C4×C43—41no—
890C4×C43—41no—
891C4×C43—41no—
892C4×C43—41no—
893C4×C43—41no—
894C4×C43—41no—
895C4×C43—41no—
896C4×C43C22×#4111yescharacteristic
897C4×C43C2×H(5,𝔽2)11yescharacteristic
898Dic43—21no—
899Dic43—21no—
900Dic43—21no—
901Dic43—21no—
902Dic43—41no—
903Dic43—41no—
904Dic43—41no—
905Dic43—41no—
906Dic43—41no—
907Dic43#54612yes—
908#3492—431no—
909#3485—431no—
910#3331—431no—
911#3331D4311yescharacteristic, complemented
912#3330—431no—
913#3330—431no—
914#3323—431no—
915#3323—431no—
916#3322—431no—
917#3322—431no—
918#3315—431no—
919#3315—431no—
920#3314—431no—
921#3314—431no—
922#3307—431no—
923#3307—431no—
924#3306—431no—
925#3306—431no—
926#3137—431no—
927#3097—431no—
928#3092—431no—
929#3081—431no—
930#3063—431no—
931#3054—431no—
932#3046—431no—
933#3012—431no—
934#3005—431no—
935#2946—431no—
936#2930—431no—
937#2897—431no—
938C2×#417—431no—
939C2×C43—41no—
940C2×C43—42no—
941C2×C43—41no—
942C2×C43C2×#54611yescharacteristic
943C2×C43#358511yescharacteristic
944C2×C43#358611yescharacteristic
945D43—22no—
946D43—41no—
947D43—41no—
948D43—42no—
949D43—81no—
950D43—81no—
951C2×H(5,𝔽2)—431no—
952C22×#41—431no—
953C2×#137—431no—
954C2×AGL(1,ℤ/8)—431no—
955C2×#135—431no—
956C2×#131—431no—
957C22×M16—431no—
958#554—431no—
959#554—861no—
960#554C2×D4311yescharacteristic, complemented
961#553—431no—
962#553—431no—
963#553—861no—
964#552—431no—
965#552—431no—
966#552—861no—
967#547—431no—
968#547—431no—
969#547—431no—
970#547—431no—
971#547—431no—
972#547—861no—
973#547—861no—
974#547—861no—
975#547C2×D4311yescharacteristic
976#546—431no—
977#546—431no—
978#546—431no—
979#546—431no—
980#546—861no—
981#546—861no—
982#544—431no—
983#539—861no—
984#539—861no—
985#537—431no—
986#536—431no—
987#536—431no—
988#534—861no—
989#534—861no—
990#525—431no—
991#525—431no—
992#525—431no—
993#525—861no—
994#525—861no—
995C2×#123—861no—
996C2×#123—861no—
997#520—431no—
998#520—431no—
999#518—431no—
1000C22×C4⋊C4—431no—
1001#491—431no—
1002#491—431no—
1003#489—431no—
1004#489—431no—
1005#488—431no—
1006#488—431no—
1007#487—431no—
1008#487C2×D4311yescharacteristic, complemented
1009#485—431no—
1010#485—431no—
1011#485—431no—
1012#485—431no—
1013#484—431no—
1014#484—431no—
1015#484—431no—
1016#484—431no—
1017#483—431no—
1018#483—431no—
1019#483C2×D4311yescharacteristic, complemented
1020#483C2×D4311yescharacteristic, complemented
1021#481—431no—
1022#481—431no—
1023#480—431no—
1024#480—431no—
1025#478—431no—
1026#478—431no—
1027#478—431no—
1028#478—431no—
1029#476—431no—
1030#476C2×D4311yescharacteristic, complemented
1031#474—431no—
1032#474—431no—
1033#470—431no—
1034#470—431no—
1035#470C2×D4311yescharacteristic, complemented
1036#470C2×D4311yescharacteristic, complemented
1037#469—431no—
1038#469—431no—
1039#468—431no—
1040#468—431no—
1041#468—431no—
1042#468—431no—
1043#468—431no—
1044#468—431no—
1045#467—431no—
1046#467—431no—
1047#465—431no—
1048#465—431no—
1049#464—431no—
1050#464—431no—
1051#463—431no—
1052#463—431no—
1053#462—431no—
1054#462C2×D4311yescharacteristic, complemented
1055#461—431no—
1056#461—431no—
1057#452—431no—
1058#452—431no—
1059#452—431no—
1060#452—431no—
1061#452C2×D4311yescharacteristic, complemented
1062#452C2×D4311yescharacteristic, complemented
1063#450—431no—
1064#450—431no—
1065#449—431no—
1066#449—431no—
1067#449—431no—
1068#449—431no—
1069#449—431no—
1070#449—431no—
1071#447—431no—
1072#447—431no—
1073#442—431no—
1074#442—431no—
1075#440—431no—
1076#440—431no—
1077C4×SD16—431no—
1078C4×SD16C2×D4311yescharacteristic, complemented
1079C4×D8—431no—
1080C4×D8—431no—
1081#436—431no—
1082#436—431no—
1083#436—431no—
1084#436C2×D4311yescharacteristic, complemented
1085#435—431no—
1086#435—431no—
1087#435—431no—
1088#435—431no—
1089#428—431no—
1090#428—431no—
1091#427—431no—
1092#424—431no—
1093#419—431no—
1094#418—431no—
1095#418—431no—
1096#418—431no—
1097#417—431no—
1098#417—431no—
1099#417—431no—
1100#417—431no—
1101#417—431no—
1102#417—431no—
1103#417—431no—
1104#417—431no—
1105#417—431no—
1106#417—431no—
1107#417C2×D4311yescharacteristic, complemented
1108#417C2×D4311yescharacteristic, complemented
1109#416—431no—
1110#416—431no—
1111#416—431no—
1112#416—431no—
1113C2×#103—431no—
1114C2×#103—431no—
1115C2×#102—431no—
1116C2×#102—431no—
1117C2×#102—431no—
1118C2×#102—431no—
1119#408—431no—
1120#407—431no—
1121#405—431no—
1122C43#6117711yescharacteristic, complemented, Sylow
1123H(5,𝔽2)—864no—
1124H(5,𝔽2)—1722no—
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—864no—
1138C2×#41—1722no—
1139C2×#41C22×D4311yescharacteristic
1140C2×#41C22×D4311yescharacteristic
1141C22×Q8—431no—
1142C22×D4—431no—
1143C22×D4—431no—
1144C22×D4—431no—
1145C22×D4—861no—
1146C22×D4—861no—
1147C22×D4—861no—
1148C22×D4—861no—
1149C23×C4—431no—
1150C23×C4—861no—
1151C23×C4—861no—
1152#137—1722no—
1153AGL(1,ℤ/8)—864no—
1154#135—1722no—
1155C2×Q16—431no—
1156C2×Q16C22×D4311yescharacteristic
1157C2×Q16C22×D4311yescharacteristic
1158C2×SD16—431no—
1159C2×SD16—431no—
1160C2×SD16—431no—
1161C2×SD16—431no—
1162C2×SD16—431no—
1163C2×SD16C22×D4311yescharacteristic
1164C2×D8—431no—
1165C2×D8—431no—
1166C2×D8—431no—
1167#131—1722no—
1168C2×M16—431no—
1169C2×M16—431no—
1170C2×M16—431no—
1171C2×M16—431no—
1172C2×M16—431no—
1173C2×M16—431no—
1174C2×M16—1722no—
1175C2×M16C22×D4311yescharacteristic
1176C2×M16C22×D4311yescharacteristic
1177C22×C8—431no—
1178C22×C8—431no—
1179C22×C8—431no—
1180C22×C8—431no—
1181C4⋊Q8—431no—
1182C4⋊Q8—431no—
1183C4⋊Q8—861no—
1184C4⋊Q8—861no—
1185C4⋊Q8C22×D4311yescharacteristic
1186C4⋊Q8C22×D4311yescharacteristic
1187#126—861no—
1188#126—861no—
1189#126—861no—
1190#126—861no—
1191#125—21no—
1192#125—431no—
1193#125—431no—
1194#125—861no—
1195#125—861no—
1196#125—861no—
1197#125—861no—
1198#124—431no—
1199#124—431no—
1200#124—861no—
1201#123—21no—
1202#123—21no—
1203#123—431no—
1204#123—431no—
1205#123—861no—
1206#123—861no—
1207#123—861no—
1208#123—861no—
1209#123—861no—
1210#123—861no—
1211#123—861no—
1212#123—861no—
1213#123—861no—
1214#123—861no—
1215#123—861no—
1216#123—861no—
1217#123—861no—
1218#123—861no—
1219#123—861no—
1220#123—861no—
1221#123—861no—
1222#123—861no—
1223#123—861no—
1224#123—861no—
1225#123—861no—
1226#123—861no—
1227#123—861no—
1228#123—861no—
1229C22⋊Q8—21no—
1230C22⋊Q8—21no—
1231C22⋊Q8—431no—
1232C22⋊Q8—431no—
1233C22⋊Q8—431no—
1234C22⋊Q8—431no—
1235C22⋊Q8—431no—
1236C22⋊Q8—431no—
1237C22⋊Q8—431no—
1238C22⋊Q8—431no—
1239C22⋊Q8—861no—
1240C22⋊Q8—861no—
1241C22⋊Q8—861no—
1242C22⋊Q8—861no—
1243C22⋊Q8—861no—
1244C22⋊Q8—861no—
1245C22⋊Q8—861no—
1246C22⋊Q8—861no—
1247C22⋊Q8—861no—
1248C22⋊Q8C22×D4311yescharacteristic
1249C22⋊Q8C22×D4311yescharacteristic
1250C22⋊Q8C22×D4311yescharacteristic
1251C22⋊Q8C22×D4311yescharacteristic
1252#121—21no—
1253#121—431no—
1254#121—431no—
1255#121—431no—
1256#121—431no—
1257#121—431no—
1258#121—431no—
1259#121—431no—
1260#121—431no—
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#121—861no—
1272#121—861no—
1273#120—431no—
1274#120—431no—
1275#120—861no—
1276#120—861no—
1277#120—861no—
1278#120—861no—
1279#120—861no—
1280#120—861no—
1281C4×Q8—431no—
1282C4×Q8—861no—
1283C4×Q8C22×D4311yescharacteristic
1284C4×D4—21no—
1285C4×D4—431no—
1286C4×D4—431no—
1287C4×D4—431no—
1288C4×D4—431no—
1289C4×D4—431no—
1290C4×D4—431no—
1291C4×D4—431no—
1292C4×D4—431no—
1293C4×D4—861no—
1294C4×D4—861no—
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×D4C22×D4311yescharacteristic
1308C4×D4C22×D4311yescharacteristic
1309#117—431no—
1310#117—431no—
1311#117—431no—
1312#117—431no—
1313#117—431no—
1314#117—861no—
1315#117—861no—
1316#117—861no—
1317C2×C4⋊C4—21no—
1318C2×C4⋊C4—431no—
1319C2×C4⋊C4—431no—
1320C2×C4⋊C4—431no—
1321C2×C4⋊C4—431no—
1322C2×C4⋊C4—431no—
1323C2×C4⋊C4—431no—
1324C2×C4⋊C4—861no—
1325C2×C4⋊C4—861no—
1326C2×C4⋊C4—861no—
1327C2×C4⋊C4—861no—
1328C2×C4⋊C4—861no—
1329C2×C4⋊C4—861no—
1330C2×C4⋊C4—861no—
1331C2×C4⋊C4C22×D4311yescharacteristic
1332C2×C4⋊C4C22×D4311yescharacteristic
1333C2×C22⋊C4—861no—
1334C2×C22⋊C4—861no—
1335C2×C22⋊C4—861no—
1336C2×C22⋊C4—861no—
1337C2×C22⋊C4—861no—
1338C2×C22⋊C4—861no—
1339#107—431no—
1340#107—431no—
1341#107—431no—
1342#107—431no—
1343#107—431no—
1344#107—431no—
1345#106—431no—
1346#106—431no—
1347#106—431no—
1348#106C22×D4311yescharacteristic
1349#106C22×D4311yescharacteristic
1350#106C22×D4311yescharacteristic
1351C4⋊C8—431no—
1352C4⋊C8—431no—
1353C4⋊C8—431no—
1354C4⋊C8C22×D4311yescharacteristic
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#103C22×D4311yescharacteristic
1369#103C22×D4311yescharacteristic
1370#103C22×D4311yescharacteristic
1371#103C22×D4311yescharacteristic
1372#103C22×D4311yescharacteristic
1373#103C22×D4311yescharacteristic
1374#103C22×D4311yescharacteristic
1375#102—431no—
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#102—431no—
1389#102—431no—
1390#102—431no—
1391#102—431no—
1392#102C22×D4311yescharacteristic
1393#102C22×D4311yescharacteristic
1394#102C22×D4311yescharacteristic
1395C22⋊C8—431no—
1396C22⋊C8—431no—
1397C22⋊C8—431no—
1398C22⋊C8—431no—
1399C22⋊C8—431no—
1400C22⋊C8—431no—
1401C22⋊C8C22×D4311yescharacteristic
1402C22⋊C8C22×D4311yescharacteristic
1403#97—431no—
1404#97—431no—
1405C4×C8—431no—
1406C4×C8C22×D4311yescharacteristic
1407C24—431no—
1408C24—861no—
1409C24—861no—
1410C24—861no—
1411#41—22no—
1412#41—22no—
1413#41—41no—
1414#41—41no—
1415#41—862no—
1416#41—862no—
1417#41—862no—
1418#41—862no—
1419#41—862no—
1420#41—862no—
1421#41—862no—
1422#41—862no—
1423#41—862no—
1424#41—862no—
1425#41—3442no—
1426#41—3442no—
1427#41—1721no—
1428#41—1724no—
1429#41—1724no—
1430#41—1721no—
1431#41—1724no—
1432#41—1721no—
1433#41—1721no—
1434C2×Q8—21no—
1435C2×Q8—431no—
1436C2×Q8—431no—
1437C2×Q8—861no—
1438C2×Q8—861no—
1439C2×Q8—862no—
1440C2×Q8—862no—
1441C2×Q8C23×D4311yescharacteristic
1442C2×Q8C23×D4311yescharacteristic
1443C2×Q8C23×D4311yescharacteristic
1444C2×D4—21no—
1445C2×D4—21no—
1446C2×D4—434no—
1447C2×D4—431no—
1448C2×D4—431no—
1449C2×D4—431no—
1450C2×D4—431no—
1451C2×D4—431no—
1452C2×D4—431no—
1453C2×D4—431no—
1454C2×D4—431no—
1455C2×D4—431no—
1456C2×D4—862no—
1457C2×D4—861no—
1458C2×D4—861no—
1459C2×D4—861no—
1460C2×D4—861no—
1461C2×D4—861no—
1462C2×D4—861no—
1463C2×D4—861no—
1464C2×D4—862no—
1465C2×D4—861no—
1466C2×D4—861no—
1467C2×D4—862no—
1468C2×D4—861no—
1469C2×D4—861no—
1470C2×D4—861no—
1471C2×D4—861no—
1472C2×D4—861no—
1473C2×D4—861no—
1474C2×D4—1721no—
1475C2×D4—1724no—
1476C2×D4—1721no—
1477C2×D4—1724no—
1478C2×D4—1724no—
1479C2×D4—1724no—
1480C2×D4D4×D4311yescharacteristic
1481C2×D4C23×D4311yescharacteristic
1482C22×C4—21no—
1483C22×C4—21no—
1484C22×C4—21no—
1485C22×C4—21no—
1486C22×C4—21no—
1487C22×C4—431no—
1488C22×C4—431no—
1489C22×C4—431no—
1490C22×C4—431no—
1491C22×C4—431no—
1492C22×C4—431no—
1493C22×C4—862no—
1494C22×C4—862no—
1495C22×C4—861no—
1496C22×C4—861no—
1497C22×C4—861no—
1498C22×C4—861no—
1499C22×C4—861no—
1500C22×C4—861no—
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—3442no—
1514C22×C4—1724no—
1515C22×C4C23×D4311yescharacteristic
1516C22×C4C23×D4311yescharacteristic
1517Q16—41no—
1518Q16—41no—
1519Q16—1721no—
1520SD16—22no—
1521SD16—862no—
1522SD16—1721no—
1523SD16—1721no—
1524SD16—1721no—
1525SD16—1721no—
1526D8—862no—
1527D8—862no—
1528D8—1721no—
1529M16—41no—
1530M16—41no—
1531M16—862no—
1532M16—862no—
1533M16—1721no—
1534M16—1721no—
1535M16—1721no—
1536M16—1721no—
1537C2×C8—431no—
1538C2×C8—431no—
1539C2×C8—431no—
1540C2×C8—431no—
1541C2×C8—862no—
1542C2×C8—862no—
1543C2×C8—1721no—
1544C2×C8—1721no—
1545C2×C8C23×D4311yescharacteristic
1546C2×C8C23×D4311yescharacteristic
1547C2×C8C23×D4311yescharacteristic
1548C2×C8C23×D4311yescharacteristic
1549C4⋊C4—21no—
1550C4⋊C4—21no—
1551C4⋊C4—21no—
1552C4⋊C4—21no—
1553C4⋊C4—21no—
1554C4⋊C4—21no—
1555C4⋊C4—21no—
1556C4⋊C4—21no—
1557C4⋊C4—21no—
1558C4⋊C4—21no—
1559C4⋊C4—431no—
1560C4⋊C4—431no—
1561C4⋊C4—431no—
1562C4⋊C4—431no—
1563C4⋊C4—431no—
1564C4⋊C4—431no—
1565C4⋊C4—431no—
1566C4⋊C4—431no—
1567C4⋊C4—431no—
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⋊C4—861no—
1582C4⋊C4—861no—
1583C4⋊C4—861no—
1584C4⋊C4—861no—
1585C4⋊C4—861no—
1586C4⋊C4—861no—
1587C4⋊C4—861no—
1588C4⋊C4D4×D4311yescharacteristic
1589C4⋊C4C23×D4311yescharacteristic
1590C4⋊C4C23×D4311yescharacteristic
1591C4⋊C4C23×D4311yescharacteristic
1592C4⋊C4C23×D4311yescharacteristic
1593C22⋊C4—21no—
1594C22⋊C4—21no—
1595C22⋊C4—21no—
1596C22⋊C4—21no—
1597C22⋊C4—21no—
1598C22⋊C4—431no—
1599C22⋊C4—431no—
1600C22⋊C4—431no—
1601C22⋊C4—431no—
1602C22⋊C4—431no—
1603C22⋊C4—431no—
1604C22⋊C4—431no—
1605C22⋊C4—431no—
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⋊C4—861no—
1623C22⋊C4—861no—
1624C22⋊C4—861no—
1625C22⋊C4—861no—
1626C22⋊C4—861no—
1627C22⋊C4—861no—
1628C22⋊C4—861no—
1629C22⋊C4—861no—
1630C22⋊C4—861no—
1631C22⋊C4D4×D4311yescharacteristic
1632C22⋊C4D4×D4311yescharacteristic
1633C42—21no—
1634C42—431no—
1635C42—861no—
1636C42—861no—
1637C42—861no—
1638C42—861no—
1639C42—861no—
1640C42C23×D4311yescharacteristic
1641C23—21no—
1642C23—431no—
1643C23—431no—
1644C23—431no—
1645C23—864no—
1646C23—862no—
1647C23—861no—
1648C23—861no—
1649C23—861no—
1650C23—3441no—
1651C23—3441no—
1652C23—3441no—
1653C23—3441no—
1654C23—3441no—
1655C23—3441no—
1656C23—1721no—
1657C23—1721no—
1658C23—1722no—
1659C23—1722no—
1660C23C2×D4×D4311yescharacteristic
1661C23C2×D4×D4311yescharacteristic
1662Q8—21no—
1663Q8—21no—
1664Q8—21no—
1665Q8—21no—
1666Q8—21no—
1667Q8—21no—
1668Q8—81no—
1669Q8—862no—
1670Q8—861no—
1671Q8—861no—
1672Q8—3441no—
1673Q8—1722no—
1674D4—21no—
1675D4—41no—
1676D4—42no—
1677D4—42no—
1678D4—432no—
1679D4—862no—
1680D4—864no—
1681D4—862no—
1682D4—862no—
1683D4—861no—
1684D4—861no—
1685D4—861no—
1686D4—861no—
1687D4—861no—
1688D4—3441no—
1689D4—3441no—
1690D4—3441no—
1691D4—3441no—
1692D4—1721no—
1693D4—1722no—
1694D4—1722no—
1695D4—1722no—
1696D4—1722no—
1697D4—1722no—
1698D4—1722no—
1699D4—1721no—
1700D4—1721no—
1701D4—1722no—
1702D4—1722no—
1703D4—1722no—
1704D4—1722no—
1705D4#41×D4312yes—
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—21no—
1717C2×C4—42no—
1718C2×C4—42no—
1719C2×C4—81no—
1720C2×C4—81no—
1721C2×C4—81no—
1722C2×C4—431no—
1723C2×C4—432no—
1724C2×C4—432no—
1725C2×C4—431no—
1726C2×C4—431no—
1727C2×C4—431no—
1728C2×C4—431no—
1729C2×C4—862no—
1730C2×C4—862no—
1731C2×C4—862no—
1732C2×C4—861no—
1733C2×C4—861no—
1734C2×C4—861no—
1735C2×C4—861no—
1736C2×C4—861no—
1737C2×C4—861no—
1738C2×C4—861no—
1739C2×C4—861no—
1740C2×C4—861no—
1741C2×C4—3441no—
1742C2×C4—3441no—
1743C2×C4—3441no—
1744C2×C4—3441no—
1745C2×C4—3441no—
1746C2×C4—3441no—
1747C2×C4—3441no—
1748C2×C4—3441no—
1749C2×C4—3441no—
1750C2×C4—1722no—
1751C2×C4—1722no—
1752C2×C4—1722no—
1753C2×C4—1722no—
1754C2×C4—1722no—
1755C2×C4—1722no—
1756C2×C4—1722no—
1757C2×C4—1722no—
1758C2×C4—1722no—
1759C2×C4C2×D4×D4311yescharacteristic
1760C2×C4C2×D4×D4311yescharacteristic
1761C2×C4C2×D4×D4311yescharacteristic
1762C2×C4C2×D4×D4311yescharacteristic
1763C2×C4C24×D4311yescharacteristic
1764C8—21no—
1765C8—21no—
1766C8—21no—
1767C8—21no—
1768C8—861no—
1769C8—861no—
1770C8—861no—
1771C8—861no—
1772C22—21no—
1773C22—21no—
1774C22—22no—
1775C22—21no—
1776C22—21no—
1777C22—21no—
1778C22—21no—
1779C22—41no—
1780C22—41no—
1781C22—432no—
1782C22—861no—
1783C22—861no—
1784C22—861no—
1785C22—861no—
1786C22—862no—
1787C22—861no—
1788C22—861no—
1789C22—861no—
1790C22—861no—
1791C22—3444no—
1792C22—1724no—
1793C22—1721no—
1794C22—1721no—
1795C22—1721no—
1796C22—1721no—
1797C22—1721no—
1798C22—1721no—
1799C22—1721no—
1800C22—1721no—
1801C22—6882no—
1802C22—6882no—
1803C22C22×D4×D4311yescharacteristic
1804C4—21no—
1805C4—21no—
1806C4—21no—
1807C4—21no—
1808C4—41no—
1809C4—41no—
1810C4—41no—
1811C4—41no—
1812C4—41no—
1813C4—41no—
1814C4—41no—
1815C4—432no—
1816C4—861no—
1817C4—861no—
1818C4—861no—
1819C4—861no—
1820C4—1721no—
1821C4—1721no—
1822C4—1721no—
1823C4—1721no—
1824C4—1721no—
1825C4C2×#41×D4311yescharacteristic
1826C4H(5,𝔽2)×D4311yescharacteristic
1827C2—41no—
1828C2—41no—
1829C2—42no—
1830C2—862no—
1831C2—3441no—
1832C2—3441no—
1833C2—1721no—
1834C2—1721no—
1835C2—1722no—
1836C2#546×D4311yescharacteristic
1837C2#1914937311yescharacteristic
1838C2#1914937811yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3331C2
socleC22×C43C23×D4
hypercenter#3331D43
hypocenterC43#61177
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3331

Complements

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

NH ≅ G/Ntype
1. #19148303C2semidirect
2. #19148234C2semidirect
3. #19146906C2semidirect
4. #19146899C2semidirect
5. #19146896C2semidirect
6. #19146817C2semidirect
7. #19146816C2semidirect
8. #19146798C2semidirect
9. #19146797C2semidirect
10. #19146698C2semidirect
11. #19146695C2semidirect
12. #19146670C2semidirect
13. #19146669C2semidirect
14. #19146574C2semidirect
15. #19146571C2semidirect
16. #19146554C2semidirect
17. #19146553C2semidirect
18. #19144955C2semidirect
19. #19144557C2semidirect
20. #19144519C2semidirect
21. #19144421C2semidirect
22. #19144283C2semidirect
23. #19144206C2semidirect
24. #19144142C2semidirect
25. #19143903C2semidirect
26. #19143838C2semidirect
27. #19143422C2semidirect
28. #19143295C2semidirect
29. #19143119C2semidirect
30. #417×D43C2semidirect
31. C43×#3331C2semidirect
34. C2×#13063357C22semidirect
38. C2×M16×D43C22semidirect
39. #14583607C22semidirect
42. #14583597C22semidirect
43. #14583595C22semidirect
44. #14583590C22semidirect
45. #14583583C22semidirect
48. #14583552C22semidirect
52. #14583550C22semidirect
61. #14583526C22semidirect
71. #14583412C22semidirect
76. #14583381C22semidirect
79. C2×C4⋊C4×D43C22semidirect
80. #14583267C22semidirect
81. #14583266C22semidirect
82. #14583261C22semidirect
83. #14583260C22semidirect
84. #14583255C22semidirect
85. #14583254C22semidirect
86. #14583248C22semidirect
87. #14583243C22semidirect
88. #14583241C22semidirect
89. #14583238C22semidirect
90. #14583237C22semidirect
91. #14583234C22semidirect
92. #14583233C22semidirect
93. #14583233C22semidirect
94. #14583233C22semidirect
95. #14583231C22semidirect
96. #14583227C22semidirect
97. #14583219C22semidirect
98. #14583219C22semidirect
99. #14583213C22semidirect
100. #14583212C22semidirect
101. #14583201C22semidirect
102. #14583200C22semidirect
103. #14583199C22semidirect
104. #14583198C22semidirect
105. #14583188C22semidirect
106. #14583177C22semidirect
107. #14583176C22semidirect
108. #14583156C22semidirect
109. #14583154C22semidirect
110. #14583153C22semidirect
111. #14583152C22semidirect
112. #14583148C22semidirect
113. #14583148C22semidirect
114. #14583148C22semidirect
115. #14583147C22semidirect
116. #14583147C22semidirect
117. #14583145C22semidirect
118. #14583138C22semidirect
119. #14583137C22semidirect
120. #14583130C22semidirect
121. #14583129C22semidirect
122. #14583123C22semidirect
123. #14583121C22semidirect
124. #14583117C22semidirect
125. #14583115C22semidirect
126. #14583107C22semidirect
127. #14583103C22semidirect
128. #14583101C22semidirect
129. #14583060C22semidirect
130. #14583060C22semidirect
131. #14583059C22semidirect
132. #14583058C22semidirect
133. #14583049C22semidirect
134. #14583048C22semidirect
135. #14583047C22semidirect
136. #14583047C22semidirect
137. #14583046C22semidirect
138. #14583045C22semidirect
139. #14583044C22semidirect
140. #14583044C22semidirect
141. #14583035C22semidirect
142. #14583034C22semidirect
143. #14583010C22semidirect
144. #14583009C22semidirect
145. #14583000C22semidirect
146. #14582997C22semidirect
147. #14582984C22semidirect
148. C4×D344C22semidirect
149. #14582979C22semidirect
150. #14582978C22semidirect
151. #14582975C22semidirect
152. #14582975C22semidirect
153. #14582973C22semidirect
154. #14582971C22semidirect
155. #14582969C22semidirect
156. #14582967C22semidirect
157. #14582938C22semidirect
158. #14582938C22semidirect
159. #14582934C22semidirect
160. #14582924C22semidirect
161. #14582906C22semidirect
162. #14582905C22semidirect
164. #14582902C22semidirect
165. #14582901C22semidirect
166. #14582900C22semidirect
169. #14582899C22semidirect
170. #14582899C22semidirect
171. #14582899C22semidirect
172. #14582898C22semidirect
173. #14582897C22semidirect
174. #14582897C22semidirect
175. #14582895C22semidirect
177. #14582894C22semidirect
178. #14582894C22semidirect
179. #103×D43C22semidirect
180. #103×D43C22semidirect
181. C2×#13063245C22semidirect
184. #102×D43C22semidirect
186. #14582861C22semidirect
187. #14582853C22semidirect
188. C43×#554C22semidirect
190. C43×#487C22semidirect
191. C43×#483C22semidirect
192. C43×#483C22semidirect
193. C43×#476C22semidirect
194. C43×#470C22semidirect
195. C43×#470C22semidirect
196. C43×#462C22semidirect
197. C43×#452C22semidirect
198. C43×#452C22semidirect
199. C4×SD16×C43C22semidirect
200. C43×#436C22semidirect
201. C43×#417C22semidirect
202. C43×#417C22semidirect
545. D4×D43#41semidirect
911. #3331D43semidirect
960. #554C2×D43semidirect
1008. #487C2×D43semidirect
1019. #483C2×D43semidirect
1020. #483C2×D43semidirect
1030. #476C2×D43semidirect
1035. #470C2×D43semidirect
1036. #470C2×D43semidirect
1054. #462C2×D43semidirect
1061. #452C2×D43semidirect
1062. #452C2×D43semidirect
1078. C4×SD16C2×D43semidirect
1084. #436C2×D43semidirect
1107. #417C2×D43semidirect
1108. #417C2×D43semidirect
1122. C43#61177semidirect

Maximal subgroups

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

subgroupindex
#191483032
#191482342
#191469062
#191468992
#191468962
#191468172
#191468162
#191467982
#191467972
#191466982
#191466952
#191466702
#191466692
#191465742
#191465712
#191465542
#191465532
#191449552
#191445572
#191445192
#191444212
#191442832
#191442062
#191441422
#191439032
#191438382
#191434222
#191432952
#191431192
#417×D432
C43×#33312
#6117743