Finite Group Databasebeta

← #25968351

Subgroups — #25968351

Order 11008.

2194 conjugacy classes of subgroups.

The subgroup lattice has 1946 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19148500C211yesmaximal, characteristic, complemented
2#19148370C211yesmaximal, characteristic, complemented
3#19145692C211yesmaximal, characteristic, complemented
4#19145691C211yesmaximal, characteristic, complemented
5#19145690C211yesmaximal, characteristic, complemented
6#19145689C211yesmaximal, characteristic, complemented
7#19145684C211yesmaximal, characteristic, complemented
8#19145683C211yesmaximal, characteristic, complemented
9#19145682C211yesmaximal, characteristic, complemented
10#19145550C211yesmaximal, characteristic, complemented
11#19145549C211yesmaximal, characteristic, complemented
12#19145535C211yesmaximal, characteristic, complemented
13#19145534C211yesmaximal, characteristic, complemented
14#19145527C211yesmaximal, characteristic, complemented
15#19145526C211yesmaximal, characteristic, complemented
16#19145512C211yesmaximal, characteristic, complemented
17#19145511C211yesmaximal, characteristic, complemented
18#19145044C211yesmaximal, characteristic, complemented
19#19145020C211yesmaximal, characteristic, complemented
20#19144987C211yesmaximal, characteristic, complemented
21#486×D43C211yesmaximal, characteristic, complemented
22#19144137C211yesmaximal, characteristic, complemented
23#19144135C211yesmaximal, characteristic, complemented
24#19144131C211yesmaximal, characteristic, complemented
25#19144129C211yesmaximal, characteristic, complemented
26#19143903C211yesmaximal, characteristic, complemented
27#19143900C211yesmaximal, characteristic, complemented
28#19143897C211yesmaximal, characteristic, complemented
29#19143894C211yesmaximal, characteristic, complemented
30#19143236C211yesmaximal, characteristic, complemented
31C43×#3224C211yesmaximal, characteristic, complemented
32C2×#13063371C2211yescharacteristic
33C2×#13063370C2211yescharacteristic
34C2×#13063352C2211yescharacteristic, complemented
35C2×#13063352C2211yescharacteristic, complemented
36C2×#13063349C2211yescharacteristic, complemented
37C2×#13063349C2211yescharacteristic, complemented
38C2×#13063348C2211yescharacteristic, complemented
39C2×#13063346C2211yescharacteristic, complemented
40C2×#13063346C2211yescharacteristic, complemented
41C2×#13063344C2211yescharacteristic, complemented
42#14583616—21no—
43#14583611—21no—
44#14583603—21no—
45#14583600—21no—
46#14583594—21no—
47#14583567—21no—
48#14583567—21no—
49#14583559—21no—
50#14583557—21no—
51#14583547—21no—
52#14583533—21no—
53#14583533—21no—
54#14583531—21no—
55#14583531—21no—
56#14583531—21no—
57#14583531—21no—
58#14583523C2211yescharacteristic, complemented
59#14583520C2211yescharacteristic, complemented
60#14583518C2211yescharacteristic, complemented
61#14583479C2211yescharacteristic
62#14583478C2211yescharacteristic
63#14583468C2211yescharacteristic
64#14583467C2211yescharacteristic
65#14583467C2211yescharacteristic
66#14583462C2211yescharacteristic
67#14583462C2211yescharacteristic
68#14583453C2211yescharacteristic, complemented
69#14583451C2211yescharacteristic, complemented
70#14583448C2211yescharacteristic
71#14583448C2211yescharacteristic
72#14583448C2211yescharacteristic, complemented
73#14583446C2211yescharacteristic, complemented
74#14583445C2211yescharacteristic
75#14583444C2211yescharacteristic, complemented
76C4⋊Q8×D43C2211yescharacteristic, complemented
77C2×#13063321C2211yescharacteristic
78#127×D43C2211yescharacteristic
79#127×D43C2211yescharacteristic
80#14583381C2211yescharacteristic, complemented
81#14583378C2211yescharacteristic, complemented
82#14583367C2211yescharacteristic
83#14583289C2211yescharacteristic, complemented
84#14583288C2211yescharacteristic, complemented
85#14583286C2211yescharacteristic, complemented
86#14583283C2211yescharacteristic, complemented
87#14583281C2211yescharacteristic, complemented
88#14583281C2211yescharacteristic, complemented
89#14583277C2211yescharacteristic, complemented
90#14583274C2211yescharacteristic, complemented
91#14583274C2211yescharacteristic, complemented
92#14583274C2211yescharacteristic, complemented
93#14583270C2211yescharacteristic, complemented
94#14583270C2211yescharacteristic, complemented
95#14583270C2211yescharacteristic, complemented
96#14583270C2211yescharacteristic, complemented
97#14583261C2211yescharacteristic, complemented
98#14583259C2211yescharacteristic, complemented
99#14583258C2211yescharacteristic, complemented
100#14583248C2211yescharacteristic, complemented
101#14583248C2211yescharacteristic, complemented
102#14583247C2211yescharacteristic, complemented
103#14583246C2211yescharacteristic, complemented
104#14583245C2211yescharacteristic, complemented
105#14583244C2211yescharacteristic, complemented
106#14583244C2211yescharacteristic, complemented
107#14583244C2211yescharacteristic, complemented
108#14583244C2211yescharacteristic, complemented
109#14583244C2211yescharacteristic, complemented
110#14583244C2211yescharacteristic, complemented
111#14583124C2211yescharacteristic, complemented
112#14583123C2211yescharacteristic, complemented
113#14583122C2211yescharacteristic, complemented
114#14583121C2211yescharacteristic, complemented
115#14583120C2211yescharacteristic, complemented
116#14583119C2211yescharacteristic, complemented
117#14583118C2211yescharacteristic, complemented
118#14583117C2211yescharacteristic, complemented
119#14583116C2211yescharacteristic, complemented
120#14583115C2211yescharacteristic, complemented
121#14583114C2211yescharacteristic, complemented
122#14583113C2211yescharacteristic, complemented
123#14583112C2211yescharacteristic, complemented
124#14583111C2211yescharacteristic, complemented
125#14583100C2211yescharacteristic, complemented
126#14583099C2211yescharacteristic, complemented
127#14583098C2211yescharacteristic, complemented
128#14583098C2211yescharacteristic, complemented
129#14583097C2211yescharacteristic, complemented
130#14583097C2211yescharacteristic, complemented
131#14583096C2211yescharacteristic, complemented
132#14583095C2211yescharacteristic, complemented
133#14583094C2211yescharacteristic, complemented
134#14583093C2211yescharacteristic, complemented
135#14583093C2211yescharacteristic, complemented
136#14583092C2211yescharacteristic, complemented
137#14583092C2211yescharacteristic, complemented
138#14583091C2211yescharacteristic, complemented
139#14583064C2211yescharacteristic, complemented
140#14583063C2211yescharacteristic, complemented
141#14583062C2211yescharacteristic, complemented
142#14583061C2211yescharacteristic, complemented
143#14583060C2211yescharacteristic, complemented
144#14583059C2211yescharacteristic, complemented
145#14583058C2211yescharacteristic, complemented
146#14583052C2211yescharacteristic, complemented
147#14583051C2211yescharacteristic, complemented
148#14583051C2211yescharacteristic, complemented
149#14583050C2211yescharacteristic, complemented
150#14583049C2211yescharacteristic, complemented
151#14583048C2211yescharacteristic, complemented
152#14583048C2211yescharacteristic, complemented
153#14583047C2211yescharacteristic, complemented
154#14583046C2211yescharacteristic, complemented
155#14583045C2211yescharacteristic, complemented
156#14583044C2211yescharacteristic, complemented
157#14583043C2211yescharacteristic, complemented
158#14583042C2211yescharacteristic, complemented
159#14583041C2211yescharacteristic, complemented
160#14583035C2211yescharacteristic, complemented
161#14583034C2211yescharacteristic, complemented
162#14583034C2211yescharacteristic, complemented
163#14583033C2211yescharacteristic, complemented
164#14583032C2211yescharacteristic, complemented
165#14583031C2211yescharacteristic, complemented
166#14583031C2211yescharacteristic, complemented
167#14582961C2211yescharacteristic, complemented
168#14582960C2211yescharacteristic, complemented
169#14582958C2211yescharacteristic, complemented
170#14582951C2211yescharacteristic, complemented
171#14582951C2211yescharacteristic, complemented
172#14582949C2211yescharacteristic, complemented
173#14582949C2211yescharacteristic, complemented
174#14582924C2211yescharacteristic, complemented
175#14582924C2211yescharacteristic, complemented
176#14582899C2211yescharacteristic, complemented
177#14582899C2211yescharacteristic, complemented
178#14582897C2211yescharacteristic, complemented
179#14582897C2211yescharacteristic, complemented
180#102×D43C2211yescharacteristic, complemented
181#102×D43C2211yescharacteristic, complemented
182#102×D43C2211yescharacteristic, complemented
183#102×D43C2211yescharacteristic, complemented
184#14582864C2211yescharacteristic
185#14582864C2211yescharacteristic
186#14582851C2211yescharacteristic, complemented
187C4×C8×D43C2211yescharacteristic, complemented
188C43×#542C2211yescharacteristic, complemented
189C43×#535C2211yescharacteristic
190C43×#496C2211yescharacteristic, complemented
191C43×#495C2211yescharacteristic, complemented
192C43×#489C2211yescharacteristic, complemented
193C43×#486C2211yescharacteristic, complemented
194C43×#464C2211yescharacteristic, complemented
195C43×#463C2211yescharacteristic, complemented
196C43×#460C2211yescharacteristic, complemented
197C43×#459C2211yescharacteristic, complemented
198C43×#452C2211yescharacteristic, complemented
199C43×#450C2211yescharacteristic, complemented
200C43×#449C2211yescharacteristic, complemented
201C43×#447C2211yescharacteristic, complemented
202C43×#433C2211yescharacteristic, complemented
203#13063371—42no—
204#13063371—42no—
205#13063370—42no—
206#13063370—42no—
207C2×#10621902C2311yescharacteristic
208C2×#10621902C2311yescharacteristic
209C2×#10621902C2311yescharacteristic
210C2×#10621898—21no—
211C2×#10621898—21no—
212C2×#10621898C2311yescharacteristic
213C2×#10621898C2311yescharacteristic
214C2×#10621900—21no—
215C2×#10621900—21no—
216C2×#10621900C2311yescharacteristic
217C2×#10621900C2311yescharacteristic
218C2×#10621900C2311yescharacteristic
219C2×Q8×D43—21no—
220C22×D172—21no—
221C22×D172C2311yescharacteristic
222C22×C22⋊D43—21no—
223C22×C22⋊D43—21no—
224C22×C22⋊D43—21no—
225C22×C22⋊D43—21no—
226C2×D4×D43—21no—
227C2×D4×D43—21no—
228C2×D4×D43—21no—
229C2×D4×D43—21no—
230C2×D4×D43—21no—
231C2×D4×D43—21no—
232C2×D4×D43—21no—
233C2×D4×D43C2311yescharacteristic
234C2×D4×D43C2311yescharacteristic
235C2×D4×D43C2311yescharacteristic
236C2×D4×D43C2311yescharacteristic
237#13063352—42no—
238#13063352—42no—
239#13063349—42no—
240#13063349—42no—
241#13063348—42no—
242#13063346—42no—
243#13063346—42no—
244#13063344—42no—
245C2×Dic172C2311yescharacteristic
246C2×#10621885C2311yescharacteristic
247C2×#10621885C2311yescharacteristic
248C2×#10621873C2311yescharacteristic
249C2×#10621873C2311yescharacteristic
250C2×#10621873C2311yescharacteristic
251C2×#10621873C2311yescharacteristic
252C2×#10621883C2311yescharacteristic
253C2×#10621883C2311yescharacteristic
254C2×#10621883C2311yescharacteristic
255C2×#10621883C2311yescharacteristic
256C2×#10621884C2311yescharacteristic
257C2×#10621884C2311yescharacteristic
258C2×#10621884C2311yescharacteristic
259C2×#10621884C2311yescharacteristic
260C2×D344C2311yescharacteristic
261C2×D344C2311yescharacteristic
262C2×D344C2311yescharacteristic
263C2×#10621882C2311yescharacteristic
264C2×#10621882C2311yescharacteristic
265C2×#10621882C2311yescharacteristic
266C2×#10621882C2311yescharacteristic
267C2×#10621882C2311yescharacteristic
268C2×#10621882C2311yescharacteristic
269C2×#10621872C2311yescharacteristic
270C2×#10621872C2311yescharacteristic
271C2×C8×D43C2311yescharacteristic
272C2×C8×D43C2311yescharacteristic
273#13063325C2311yescharacteristic
274#13063324—21no—
275#13063324C2311yescharacteristic
276#13063324C2311yescharacteristic
277#13063323—21no—
278#13063323C2311yescharacteristic
279#13063323C2311yescharacteristic
280#13063322C2311yescharacteristic
281#13063322C2311yescharacteristic
282#13063321—21no—
283#13063321—21no—
284#13063321—21no—
285#13063321—21no—
286#13063321—21no—
287#13063321—21no—
288#13063321C2311yescharacteristic
289#13063321C2311yescharacteristic
290#13063321C2311yescharacteristic
291#13063321C2311yescharacteristic
292#13063321C2311yescharacteristic
293#13063321C2311yescharacteristic
294#13063320—21no—
295#13063320—21no—
296#13063318—21no—
297#13063315—21no—
298#13063315—21no—
299#13063314—21no—
300#13063314C2311yescharacteristic
301#13063313C2311yescharacteristic
302#13063313C2311yescharacteristic
303#13063313C2311yescharacteristic
304#13063312C2311yescharacteristic
305#13063311—21no—
306#13063311—21no—
307#13063311—21no—
308#13063311—21no—
309#13063310—21no—
310#13063309—21no—
311#13063307—21no—
312#13063305C2311yescharacteristic
313#13063304C2311yescharacteristic
314#13063303—21no—
315#13063303—21no—
316#13063303—21no—
317#13063302—21no—
318#13063302—21no—
319#13063302—21no—
320#13063301—21no—
321#13063301C2311yescharacteristic
322#13063300—21no—
323#13063300—21no—
324#13063300—21no—
325#13063300C2311yescharacteristic
326#13063299C2311yescharacteristic
327#13063298—21no—
328#13063298—21no—
329#13063298—21no—
330#13063298—21no—
331#13063298—21no—
332#13063298—21no—
333#13063298—21no—
334#13063298—21no—
335#13063298—21no—
336#13063298—21no—
337#13063298—21no—
338#13063298—21no—
339#13063298—21no—
340#13063298—21no—
341#13063297—21no—
342#13063297—21no—
343#13063297—21no—
344#13063297—21no—
345#13063297—21no—
346#13063297—21no—
347#13063297—21no—
348#13063297—21no—
349#13063296—21no—
350#13063296C2311yescharacteristic
351#13063295—21no—
352#13063295—21no—
353#13063295—21no—
354#13063295—21no—
355#13063295—21no—
356#13063295—21no—
357#13063293—21no—
358#13063293—21no—
359#13063293—21no—
360#13063293—21no—
361Q8×Dic43C2311yescharacteristic
362C4×Dic86—21no—
363C4×Dic86C2311yescharacteristic
364#13063290—21no—
365#13063290D411yescharacteristic
366#13063290D411yescharacteristic
367#13063290C2311yescharacteristic
368C4×D172—21no—
369C4×D172C2311yescharacteristic
370D4×Dic43C2311yescharacteristic
371#13063287—21no—
372#13063287D411yescharacteristic
373#13063287D411yescharacteristic
374#13063287C2311yescharacteristic
375C4×C22⋊D43—21no—
376C4×C22⋊D43—21no—
377C4×C22⋊D43—21no—
378C4×C22⋊D43—21no—
379(C22⋊D43)⋊C4—21no—
380(C22⋊D43)⋊C4—21no—
381(C22⋊D43)⋊C4—21no—
382(C22⋊D43)⋊C4—21no—
383(C22⋊D43)⋊C4—21no—
384(C22⋊D43)⋊C4—21no—
385(C22⋊D43)⋊C4—21no—
386(C22⋊D43)⋊C4—21no—
387(C22⋊D43)⋊C4D411yescharacteristic
388(C22⋊D43)⋊C4D411yescharacteristic
389(C22⋊D43)⋊C4D411yescharacteristic
390(C22⋊D43)⋊C4D411yescharacteristic
391#13063282—21no—
392#13063282—21no—
393#13063282C2311yescharacteristic
394#13063282C2311yescharacteristic
395#13063281—21no—
396#13063281—21no—
397C2×Dic43⋊C4—21no—
398C4⋊C4×D43—21no—
399C4⋊C4×D43—21no—
400C4⋊C4×D43C2311yescharacteristic
401C4⋊C4×D43C2311yescharacteristic
402C2×C4×Dic43C2311yescharacteristic
403C42×D43C2311yescharacteristic
404C42×D43C2311yescharacteristic
405C4⋊(C43⋊C8)C2311yescharacteristic
406C4⋊(C43⋊C8)C2311yescharacteristic
407Dic43⋊C8C2311yescharacteristic
408Dic43⋊C8C2311yescharacteristic
409Dic43⋊C8C2311yescharacteristic
410Dic43⋊C8C2311yescharacteristic
411#13063250C2311yescharacteristic
412#13063250C2311yescharacteristic
413#13063249C2311yescharacteristic
414#13063249C2311yescharacteristic
415#13063248C2311yescharacteristic
416#13063248C2311yescharacteristic
417#13063247C2311yescharacteristic
418#13063247C2311yescharacteristic
419#13063247C2311yescharacteristic
420#13063247C2311yescharacteristic
421#13063247C2311yescharacteristic
422#13063247C2311yescharacteristic
423#13063246C2311yescharacteristic
424#13063246C2311yescharacteristic
425#13063246C2311yescharacteristic
426#13063246C2311yescharacteristic
427#13063246C2311yescharacteristic
428#13063246C2311yescharacteristic
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
442C4×C43⋊C8C2311yescharacteristic
443C8×Dic43C2311yescharacteristic
444C8×Dic43C2311yescharacteristic
445C8×Dic43C2311yescharacteristic
446C8×Dic43C2311yescharacteristic
447C2×#41×C43C2311yescharacteristic
448C22×D4×C43C2311yescharacteristic
449C2×Q16×C43C2311yescharacteristic
450C2×SD16×C43C2311yescharacteristic
451C2×SD16×C43C2311yescharacteristic
452C2×SD16×C43C2311yescharacteristic
453C2×SD16×C43C2311yescharacteristic
454C2×D8×C43C2311yescharacteristic
455C2×D8×C43C2311yescharacteristic
456C2×D8×C43C2311yescharacteristic
457C4⋊Q8×C43C2311yescharacteristic
458#127×C43C2311yescharacteristic
459#127×C43C2311yescharacteristic
460#126×C43—21no—
461#124×C43—21no—
462#124×C43C2311yescharacteristic
463#124×C43C2311yescharacteristic
464#124×C43C2311yescharacteristic
465#123×C43—21no—
466C22⋊Q8×C43—21no—
467C22⋊Q8×C43C2311yescharacteristic
468#121×C43—21no—
469#121×C43—21no—
470#121×C43C2311yescharacteristic
471#120×C43—21no—
472#120×C43—21no—
473C4×Q8×C43C2311yescharacteristic
474C4×D4×C43C2311yescharacteristic
475#117×C43C2311yescharacteristic
476C4⋊C8×C43C2311yescharacteristic
477C4⋊C8×C43C2311yescharacteristic
478#103×C43C2311yescharacteristic
479#103×C43C2311yescharacteristic
480#102×C43C2311yescharacteristic
481#102×C43C2311yescharacteristic
482#102×C43C2311yescharacteristic
483#102×C43C2311yescharacteristic
484#102×C43C2311yescharacteristic
485#102×C43C2311yescharacteristic
486C22⋊C8×C43C2311yescharacteristic
487C22⋊C8×C43C2311yescharacteristic
488#97×C43C2311yescharacteristic
489C4×C8×C43C2311yescharacteristic
490C24×C43—21no—
491C23×D43—21no—
492C23×D43—21no—
493C23×D43—21no—
494C23×D43—21no—
495C23×D43—21no—
496#41×C43—41no—
497#41×C43—41no—
498C2×Q8×C43—21no—
499C2×Q8×C43C2411yescharacteristic
500C2×Q8×C43C2411yescharacteristic
501C2×D4×C43—21no—
502C2×D4×C43—21no—
503C2×D4×C43—21no—
504C2×D4×C43—21no—
505C2×D4×C43—21no—
506C2×D4×C43—21no—
507C2×D4×C43—21no—
508C2×D4×C43—41no—
509C2×D4×C43—41no—
510C2×D4×C43C2411yescharacteristic
511C2×D4×C43C2411yescharacteristic
512C2×D4×C43C2411yescharacteristic
513C2×D4×C43C2411yescharacteristic
514C22×C4×C43—21no—
515C22×C4×C43—21no—
516C22×C4×C43C2411yescharacteristic
517C2×C22⋊D43—21no—
518C2×C22⋊D43—21no—
519C2×C22⋊D43—21no—
520C2×C22⋊D43—21no—
521C2×C22⋊D43—21no—
522C2×C22⋊D43—21no—
523C2×C22⋊D43—21no—
524C2×C22⋊D43—21no—
525C2×C22⋊D43—21no—
526C2×C22⋊D43—21no—
527C2×C22⋊D43—21no—
528C2×C22⋊D43—21no—
529C2×C22⋊D43—21no—
530C2×C22⋊D43—21no—
531C2×C22⋊D43—21no—
532C2×C22⋊D43—21no—
533C2×C22⋊D43—21no—
534C2×C22⋊D43—21no—
535C2×C22⋊D43—21no—
536C2×C22⋊D43—21no—
537C2×C22⋊D43—21no—
538C2×C22⋊D43—21no—
539C2×C22⋊D43—44no—
540C2×C22⋊D43—44no—
541C2×C22⋊D43—82no—
542C2×C22⋊D43—82no—
543C2×C22⋊D43C2×D411yescharacteristic
544C2×C22⋊D43C2×D411yescharacteristic
545C22×Dic43—21no—
546C22×Dic43—21no—
547C22×Dic43—21no—
548C22×Dic43—21no—
549C22×Dic43C2×D411yescharacteristic
550C22×Dic43C2×D411yescharacteristic
551#10621902—22no—
552#10621902—22no—
553#10621902—22no—
554#10621902—22no—
555#10621902—41no—
556#10621902—41no—
557Q8×D43—82no—
558#10621900—22no—
559#10621900—22no—
560#10621900—22no—
561#10621900—22no—
562#10621900—41no—
563#10621900—41no—
564#10621900—44no—
565#10621900—82no—
566D4×D43—22no—
567D4×D43—22no—
568D4×D43—22no—
569D4×D43—22no—
570D4×D43—41no—
571D4×D43—41no—
572D4×D43—41no—
573D4×D43—41no—
574D4×D43—44no—
575D4×D43—44no—
576D4×D43—44no—
577D4×D43—82no—
578D4×D43—82no—
579D4×D43—82no—
580D4×D43—82no—
581#10621898—22no—
582#10621898—22no—
583#10621898—41no—
584#10621898—41no—
585#10621898—44no—
586#10621898—82no—
587C2×D172—21no—
588C2×D172—21no—
589C2×D172—21no—
590C2×D172—21no—
591C2×D172—21no—
592C2×D172—21no—
593C2×D172—21no—
594C2×D172—21no—
595C2×D172—21no—
596C2×D172—41no—
597C2×D172—41no—
598C2×D172—44no—
599C2×D172C2×D411yescharacteristic
600C2×D172C2411yescharacteristic
601C2×D172C2411yescharacteristic
602C2×D172C2411yescharacteristic
603C2×D172C2411yescharacteristic
604C2×C4×D43—21no—
605C2×C4×D43—21no—
606C2×C4×D43—21no—
607C2×C4×D43—21no—
608C2×C4×D43—21no—
609C2×C4×D43—21no—
610C2×C4×D43—21no—
611C2×C4×D43—21no—
612C2×C4×D43C2×D411yescharacteristic
613C2×C4×D43C2×D411yescharacteristic
614C2×C4×D43C2×D411yescharacteristic
615C2×C4×D43C2×D411yescharacteristic
616C2×C4×D43C2411yescharacteristic
617C2×C4×D43C2411yescharacteristic
618C2×Dic86—21no—
619C2×Dic86—21no—
620C2×Dic86—21no—
621C2×Dic86C2×D411yescharacteristic
622C2×Dic86C2411yescharacteristic
623C2×Dic86C2411yescharacteristic
624Q16×C43—41no—
625SD16×C43—41no—
626SD16×C43—41no—
627SD16×C43—41no—
628SD16×C43—41no—
629D8×C43—41no—
630D8×C43—41no—
631D8×C43—41no—
632C2×C8×C43C2411yescharacteristic
633C2×C8×C43C2411yescharacteristic
634C2×C8×C43C2411yescharacteristic
635C2×C8×C43C2411yescharacteristic
636C4⋊C4×C43—21no—
637C4⋊C4×C43—21no—
638C4⋊C4×C43—21no—
639C4⋊C4×C43C2×D411yescharacteristic
640C4⋊C4×C43C2×D411yescharacteristic
641C4⋊C4×C43C2411yescharacteristic
642C4⋊C4×C43C2411yescharacteristic
643C22⋊C4×C43—21no—
644C22⋊C4×C43—21no—
645C22⋊C4×C43—21no—
646C22⋊C4×C43—21no—
647C22⋊C4×C43—21no—
648C22⋊C4×C43—21no—
649C22⋊C4×C43—21no—
650C22⋊C4×C43—21no—
651C22⋊C4×C43—21no—
652C22⋊C4×C43C2×D411yescharacteristic
653C22⋊C4×C43C2×D411yescharacteristic
654C42×C43—21no—
655C42×C43C2411yescharacteristic
656C42×C43C2411yescharacteristic
657C22⋊Dic43—21no—
658C22⋊Dic43—21no—
659C22⋊Dic43—21no—
660C22⋊Dic43—21no—
661C22⋊Dic43—21no—
662#10621885—41no—
663#10621885—41no—
664#10621884—41no—
665#10621884—41no—
666#10621884—41no—
667#10621884—41no—
668#10621883—41no—
669#10621883—41no—
670#10621883—41no—
671#10621883—41no—
672#10621882—41no—
673#10621882—41no—
674#10621882—41no—
675#10621882—41no—
676#10621882—41no—
677#10621882—41no—
678(C2×D43)⋊C4—21no—
679(C2×D43)⋊C4—21no—
680(C2×D43)⋊C4—21no—
681(C2×D43)⋊C4—21no—
682(C2×D43)⋊C4—21no—
683(C2×D43)⋊C4—21no—
684(C2×D43)⋊C4—21no—
685(C2×D43)⋊C4—21no—
686(C2×D43)⋊C4—21no—
687(C2×D43)⋊C4—21no—
688(C2×D43)⋊C4—21no—
689(C2×D43)⋊C4—21no—
690(C2×D43)⋊C4—21no—
691(C2×D43)⋊C4—21no—
692(C2×D43)⋊C4C2×D411yescharacteristic
693(C2×D43)⋊C4C2×D411yescharacteristic
694(C2×D43)⋊C4C2×D411yescharacteristic
695(C2×D43)⋊C4C2×D411yescharacteristic
696C4⋊Dic43—21no—
697C4⋊Dic43—21no—
698C4⋊Dic43—21no—
699C4⋊Dic43C2411yescharacteristic
700C4⋊Dic43C2411yescharacteristic
701Dic43⋊C4—21no—
702Dic43⋊C4—21no—
703Dic43⋊C4—21no—
704Dic43⋊C4—21no—
705Dic43⋊C4—21no—
706Dic43⋊C4—21no—
707Dic43⋊C4—21no—
708Dic43⋊C4—21no—
709Dic43⋊C4—21no—
710Dic43⋊C4—21no—
711Dic43⋊C4—21no—
712Dic43⋊C4—21no—
713Dic43⋊C4C2×D411yescharacteristic
714Dic43⋊C4C2×D411yescharacteristic
715Dic43⋊C4C2×D411yescharacteristic
716Dic43⋊C4C2×D411yescharacteristic
717C4×Dic43—21no—
718C4×Dic43—21no—
719C4×Dic43—21no—
720C4×Dic43C2×D411yescharacteristic
721C4×Dic43C2×D411yescharacteristic
722C4×Dic43C2×D411yescharacteristic
723C4×Dic43C2×D411yescharacteristic
724C4×Dic43C2×D411yescharacteristic
725C4×Dic43C2×D411yescharacteristic
726C4×Dic43C2411yescharacteristic
727C4×Dic43C2411yescharacteristic
728C2×C43⋊C8C2411yescharacteristic
729C2×C43⋊C8C2411yescharacteristic
730C2×C43⋊C8C2411yescharacteristic
731C2×C43⋊C8C2411yescharacteristic
732Dic172—41no—
733D344—41no—
734D344—41no—
735D344—41no—
736#10621873—41no—
737#10621873—41no—
738#10621873—41no—
739#10621873—41no—
740#10621872—22no—
741#10621872—22no—
742C8×D43—22no—
743C8×D43—22no—
744C23×C43—21no—
745C23×C43—21no—
746C23×C43—21no—
747C23×C43—21no—
748C23×C43—42no—
749C23×C43—81no—
750C23×C43—81no—
751C23×C43C22×D411yescharacteristic
752C22×D43—21no—
753C22×D43—21no—
754C22×D43—21no—
755C22×D43—21no—
756C22×D43—42no—
757C22×D43—42no—
758C22×D43—42no—
759C22×D43—42no—
760C22×D43—42no—
761C22×D43—81no—
762C22×D43—81no—
763C22×D43—81no—
764C22×D43—81no—
765C22×D43—81no—
766C22×D43—81no—
767C22×D43—81no—
768C22×D43—81no—
769C22×D43—81no—
770C22×D43—81no—
771C22×D43C22×D411yescharacteristic
772C22×D43C22×D411yescharacteristic
773Q8×C43—21no—
774Q8×C43—21no—
775Q8×C43—21no—
776Q8×C43—21no—
777Q8×C43—81no—
778D4×C43—21no—
779D4×C43—21no—
780D4×C43—21no—
781D4×C43—21no—
782D4×C43—21no—
783D4×C43—21no—
784D4×C43—21no—
785D4×C43—21no—
786D4×C43—42no—
787D4×C43—42no—
788D4×C43—81no—
789D4×C43—81no—
790D4×C43—81no—
791D4×C43—81no—
792D4×C43—81no—
793C2×C4×C43—21no—
794C2×C4×C43—21no—
795C2×C4×C43—21no—
796C2×C4×C43—21no—
797C2×C4×C43—21no—
798C2×C4×C43—21no—
799C2×C4×C43—42no—
800C2×C4×C43—81no—
801C2×C4×C43C22×D411yescharacteristic
802C2×C4×C43C22×D411yescharacteristic
803C2×C4×C43C22×D411yescharacteristic
804C2×C4×C43C22×D411yescharacteristic
805C2×C4×C43C22×D411yescharacteristic
806C2×C4×C43C2511yescharacteristic
807C22⋊D43—22no—
808C22⋊D43—22no—
809C22⋊D43—42no—
810C22⋊D43—42no—
811C22⋊D43—42no—
812C22⋊D43—42no—
813C22⋊D43—42no—
814C22⋊D43—42no—
815C22⋊D43—42no—
816C22⋊D43—42no—
817C22⋊D43—42no—
818C22⋊D43—42no—
819C22⋊D43—42no—
820C22⋊D43—42no—
821C22⋊D43—42no—
822C22⋊D43—42no—
823C22⋊D43—42no—
824C22⋊D43—42no—
825C22⋊D43—81no—
826C22⋊D43—81no—
827C22⋊D43—81no—
828C22⋊D43—81no—
829C22⋊D43—81no—
830C22⋊D43—81no—
831C2×Dic43—22no—
832C2×Dic43—22no—
833C2×Dic43—21no—
834C2×Dic43—21no—
835C2×Dic43—21no—
836C2×Dic43—21no—
837C2×Dic43—42no—
838C2×Dic43—42no—
839C2×Dic43—42no—
840C2×Dic43—81no—
841C2×Dic43C22×D411yescharacteristic
842C2×Dic43C22×D411yescharacteristic
843C2×Dic43C22×D411yescharacteristic
844C2×Dic43C22×D411yescharacteristic
845C2×Dic43C22×D411yescharacteristic
846C2×Dic43C22×D411yescharacteristic
847D172—22no—
848D172—21no—
849D172—21no—
850D172—21no—
851D172—21no—
852D172—21no—
853D172—21no—
854D172—21no—
855D172—21no—
856D172—42no—
857D172—42no—
858D172—42no—
859D172—42no—
860D172—81no—
861D172—81no—
862D172—81no—
863D172—81no—
864D172—81no—
865C4×D43—21no—
866C4×D43—21no—
867C4×D43—22no—
868C4×D43—22no—
869C4×D43—22no—
870C4×D43—22no—
871C4×D43—42no—
872C4×D43—42no—
873C4×D43—42no—
874C4×D43—42no—
875C4×D43—81no—
876C4×D43—81no—
877C4×D43—81no—
878C4×D43—81no—
879C4×D43H(5,𝔽2)12yes—
880C4×D43H(5,𝔽2)12yes—
881Dic86—22no—
882Dic86—21no—
883Dic86—21no—
884Dic86—21no—
885Dic86—21no—
886Dic86—42no—
887Dic86—42no—
888Dic86—81no—
889C8×C43—21no—
890C8×C43—21no—
891C8×C43—21no—
892C8×C43—21no—
893C43⋊C8—21no—
894C43⋊C8—21no—
895C43⋊C8—21no—
896C43⋊C8—21no—
897#60822—431nomaximal, Sylow
898C22×C43—21no—
899C22×C43—21no—
900C22×C43—21no—
901C22×C43—41no—
902C22×C43—41no—
903C22×C43—41no—
904C22×C43—41no—
905C22×C43—41no—
906C22×C43—41no—
907C22×C43—41no—
908C22×C43—41no—
909C22×C43—41no—
910C22×C43—41no—
911C22×C43—41no—
912C22×C43—41no—
913C22×C43—162no—
914C22×C43C23×D411yescharacteristic
915C2×D43—21no—
916C2×D43—21no—
917C2×D43—21no—
918C2×D43—21no—
919C2×D43—21no—
920C2×D43—41no—
921C2×D43—41no—
922C2×D43—41no—
923C2×D43—41no—
924C2×D43—41no—
925C2×D43—41no—
926C2×D43—41no—
927C2×D43—41no—
928C2×D43—41no—
929C2×D43—41no—
930C2×D43—41no—
931C2×D43—41no—
932C2×D43—162no—
933C2×D43—162no—
934C2×D43—162no—
935C2×D43—162no—
936C2×D43—162no—
937C2×D43#53512yes—
938C4×C43—21no—
939C4×C43—21no—
940C4×C43—21no—
941C4×C43—21no—
942C4×C43—21no—
943C4×C43—41no—
944C4×C43—41no—
945C4×C43—41no—
946C4×C43—41no—
947C4×C43C2×H(5,𝔽2)11yescharacteristic
948C4×C43C2×H(5,𝔽2)11yescharacteristic
949Dic43—21no—
950Dic43—21no—
951Dic43—21no—
952Dic43—41no—
953Dic43—41no—
954Dic43—41no—
955Dic43—41no—
956Dic43#53512yes—
957Dic43#57612yes—
958Dic43#57712yes—
959#3511—431no—
960#3498—431no—
961#3224—431no—
962#3224—431no—
963#3224—431no—
964#3224—431no—
965#3224—431no—
966#3224—431no—
967#3224—431no—
968#3224D4311yescharacteristic, complemented
969#3210—431no—
970#3210—431no—
971#3208—431no—
972#3208—431no—
973#3207—431no—
974#3207—431no—
975#3205—431no—
976#3205—431no—
977#3151—431no—
978#3147—431no—
979#3141—431no—
980C2×#486—431no—
981#3045—431no—
982#3045—431no—
983#3045—431no—
984#3045—431no—
985#3012—431no—
986#3012—431no—
987#3012—431no—
988#3012—431no—
989#2922—431no—
990C2×C43—41no—
991C2×C43—81no—
992C2×C43—81no—
993C2×C43—81no—
994C2×C43—81no—
995C2×C43C2×#53511yescharacteristic
996C2×C43C2×#57611yescharacteristic
997C2×C43C2×#57711yescharacteristic
998D43—22no—
999D43—41no—
1000D43—81no—
1001D43—81no—
1002D43—81no—
1003D43—81no—
1004C2×H(5,𝔽2)—431no—
1005C2×H(5,𝔽2)—431no—
1006C2×AGL(1,ℤ/8)—431no—
1007C2×AGL(1,ℤ/8)—431no—
1008C2×AGL(1,ℤ/8)—431no—
1009C2×AGL(1,ℤ/8)—431no—
1010C2×#135—431no—
1011C2×#135—431no—
1012C2×#135—431no—
1013C2×#135—431no—
1014#556—861no—
1015#555—861no—
1016#554—861no—
1017#553—861no—
1018#553—861no—
1019#550—861no—
1020#550—861no—
1021#548—861no—
1022#548—861no—
1023#547—861no—
1024D42—861no—
1025D42—861no—
1026D42—861no—
1027D42—861no—
1028D42—861no—
1029D42—861no—
1030#542—431no—
1031#542—431no—
1032#542—431no—
1033#542C2×D4311yescharacteristic, complemented
1034#537—431no—
1035#537—431no—
1036#535—431no—
1037#535—431no—
1038#535—431no—
1039#535—431no—
1040#535—431no—
1041#535C2×D4311yescharacteristic
1042#533—431no—
1043#533—431no—
1044#532—431no—
1045#532—431no—
1046#532—431no—
1047#532—431no—
1048#532—431no—
1049#532—431no—
1050C2×C4⋊Q8—431no—
1051C2×#127—431no—
1052C2×#127—431no—
1053C2×#127—431no—
1054#520—431no—
1055#520—431no—
1056C4×#41—431no—
1057#496—431no—
1058#496—431no—
1059#496—431no—
1060#496C2×D4311yescharacteristic, complemented
1061#495—431no—
1062#495—431no—
1063#495—431no—
1064#495C2×D4311yescharacteristic, complemented
1065#494—431no—
1066#493—431no—
1067#493—431no—
1068#493—431no—
1069#492—431no—
1070#492—431no—
1071#492—431no—
1072#492—431no—
1073#489—431no—
1074#489—431no—
1075#489—431no—
1076#489C2×D4311yescharacteristic, complemented
1077#487—431no—
1078#487—431no—
1079#486—431no—
1080#486—431no—
1081#486—431no—
1082#486—431no—
1083#486—431no—
1084#486—431no—
1085#486—431no—
1086#486—431no—
1087#486—431no—
1088#486C2×D4311yescharacteristic, complemented
1089#464—431no—
1090#464—431no—
1091#464—431no—
1092#464—431no—
1093#464—431no—
1094#464—431no—
1095#464—431no—
1096#464C2×D4311yescharacteristic, complemented
1097#463—431no—
1098#463—431no—
1099#463—431no—
1100#463—431no—
1101#463—431no—
1102#463—431no—
1103#463—431no—
1104#463C2×D4311yescharacteristic, complemented
1105#460—431no—
1106#460—431no—
1107#460—431no—
1108#460—431no—
1109#460—431no—
1110#460—431no—
1111#460—431no—
1112#460C2×D4311yescharacteristic, complemented
1113#459—431no—
1114#459—431no—
1115#459—431no—
1116#459—431no—
1117#459—431no—
1118#459—431no—
1119#459—431no—
1120#459C2×D4311yescharacteristic, complemented
1121#452—431no—
1122#452—431no—
1123#452—431no—
1124#452—431no—
1125#452—431no—
1126#452—431no—
1127#452—431no—
1128#452C2×D4311yescharacteristic, complemented
1129#450—431no—
1130#450—431no—
1131#450—431no—
1132#450—431no—
1133#450—431no—
1134#450—431no—
1135#450—431no—
1136#450C2×D4311yescharacteristic, complemented
1137#449—431no—
1138#449—431no—
1139#449—431no—
1140#449—431no—
1141#449—431no—
1142#449—431no—
1143#449—431no—
1144#449C2×D4311yescharacteristic, complemented
1145#447—431no—
1146#447—431no—
1147#447—431no—
1148#447—431no—
1149#447—431no—
1150#447—431no—
1151#447—431no—
1152#447C2×D4311yescharacteristic, complemented
1153#433—431no—
1154#433—431no—
1155#433—431no—
1156#433C2×D4311yescharacteristic, complemented
1157#431—431no—
1158#431—431no—
1159#431—431no—
1160#431—431no—
1161#424—431no—
1162#424—431no—
1163#417—431no—
1164#417—431no—
1165#417—431no—
1166#417—431no—
1167C2×#102—431no—
1168C2×#102—431no—
1169C2×#102—431no—
1170C2×#102—431no—
1171#408—431no—
1172#408—431no—
1173C4×M16—431no—
1174C2×C4×C8—431no—
1175C43#6082211yescharacteristic, complemented, Sylow
1176H(5,𝔽2)—1722no—
1177H(5,𝔽2)—1722no—
1178H(5,𝔽2)—1722no—
1179H(5,𝔽2)—1722no—
1180C2×#41—431no—
1181C2×#41—431no—
1182C2×#41—431no—
1183C2×#41—431no—
1184C2×#41—431no—
1185C2×#41—431no—
1186C2×#41—431no—
1187C2×#41—431no—
1188C2×#41—861no—
1189C2×#41—861no—
1190C2×#41—861no—
1191C2×#41—861no—
1192C2×#41C22×D4311yescharacteristic
1193C22×Q8—861no—
1194C22×D4—431no—
1195C22×D4—431no—
1196C22×D4—431no—
1197C22×D4—431no—
1198C22×D4—431no—
1199C22×D4—861no—
1200C22×D4—861no—
1201C22×D4—861no—
1202C22×D4—861no—
1203C22×D4—861no—
1204C22×D4—861no—
1205C22×D4—861no—
1206C22×D4—861no—
1207C22×D4—861no—
1208C22×D4—861no—
1209C22×D4—861no—
1210C22×D4—861no—
1211C22×D4C22×D4311yescharacteristic
1212AGL(1,ℤ/8)—1722no—
1213AGL(1,ℤ/8)—1722no—
1214AGL(1,ℤ/8)—1722no—
1215AGL(1,ℤ/8)—1722no—
1216#135—1722no—
1217#135—1722no—
1218#135—1722no—
1219#135—1722no—
1220C2×Q16—431no—
1221C2×Q16—431no—
1222C2×Q16—431no—
1223C2×Q16C22×D4311yescharacteristic
1224C2×SD16—431no—
1225C2×SD16—431no—
1226C2×SD16—431no—
1227C2×SD16—431no—
1228C2×SD16—431no—
1229C2×SD16—431no—
1230C2×SD16—431no—
1231C2×SD16—431no—
1232C2×SD16—431no—
1233C2×SD16—431no—
1234C2×SD16—431no—
1235C2×SD16—431no—
1236C2×SD16C22×D4311yescharacteristic
1237C2×SD16C22×D4311yescharacteristic
1238C2×SD16C22×D4311yescharacteristic
1239C2×SD16C22×D4311yescharacteristic
1240C2×D8—431no—
1241C2×D8—431no—
1242C2×D8—431no—
1243C2×D8—431no—
1244C2×D8—431no—
1245C2×D8—431no—
1246C2×D8—431no—
1247C2×D8—431no—
1248C2×D8—431no—
1249C2×D8C22×D4311yescharacteristic
1250C2×D8C22×D4311yescharacteristic
1251C2×D8C22×D4311yescharacteristic
1252C2×M16—431no—
1253C2×M16—431no—
1254C22×C8—431no—
1255C22×C8—431no—
1256C4⋊Q8—431no—
1257C4⋊Q8—431no—
1258C4⋊Q8—431no—
1259C4⋊Q8—431no—
1260C4⋊Q8—431no—
1261C4⋊Q8—861no—
1262C4⋊Q8—861no—
1263C4⋊Q8C22×D4311yescharacteristic
1264#127—431no—
1265#127—431no—
1266#127—431no—
1267#127—431no—
1268#127—431no—
1269#127—431no—
1270#127—431no—
1271#127—431no—
1272#127—861no—
1273#127—861no—
1274#127—861no—
1275#127—861no—
1276#127—861no—
1277#127—861no—
1278#127C22×D4311yescharacteristic
1279#127C22×D4311yescharacteristic
1280#126—21no—
1281#126—861no—
1282#126—861no—
1283#126—861no—
1284#125—861no—
1285#125—861no—
1286#124—21no—
1287#124—431no—
1288#124—431no—
1289#124—431no—
1290#124—431no—
1291#124—431no—
1292#124—861no—
1293#124—861no—
1294#124—861no—
1295#124—861no—
1296#124—861no—
1297#124C22×D4311yescharacteristic
1298#124C22×D4311yescharacteristic
1299#124C22×D4311yescharacteristic
1300#123—21no—
1301#123—861no—
1302#123—861no—
1303#123—861no—
1304C22⋊Q8—21no—
1305C22⋊Q8—431no—
1306C22⋊Q8—431no—
1307C22⋊Q8—431no—
1308C22⋊Q8—861no—
1309C22⋊Q8—861no—
1310C22⋊Q8—861no—
1311C22⋊Q8—861no—
1312C22⋊Q8—861no—
1313C22⋊Q8—861no—
1314C22⋊Q8—861no—
1315C22⋊Q8C22×D4311yescharacteristic
1316#121—21no—
1317#121—21no—
1318#121—431no—
1319#121—431no—
1320#121—431no—
1321#121—861no—
1322#121—861no—
1323#121—861no—
1324#121—861no—
1325#121—861no—
1326#121—861no—
1327#121—861no—
1328#121—861no—
1329#121—861no—
1330#121—861no—
1331#121—861no—
1332#121—861no—
1333#121—861no—
1334#121—861no—
1335#121—861no—
1336#121—861no—
1337#121—861no—
1338#121—861no—
1339#121—861no—
1340#121—861no—
1341#121—861no—
1342#121—861no—
1343#121—861no—
1344#121—861no—
1345#121—861no—
1346#121—861no—
1347#121C22×D4311yescharacteristic
1348#120—21no—
1349#120—21no—
1350#120—861no—
1351#120—861no—
1352#120—861no—
1353#120—861no—
1354#120—861no—
1355#120—861no—
1356#120—861no—
1357#120—861no—
1358#120—861no—
1359#120—861no—
1360C4×Q8—431no—
1361C4×Q8—431no—
1362C4×Q8—431no—
1363C4×Q8—431no—
1364C4×Q8—431no—
1365C4×Q8—861no—
1366C4×Q8—861no—
1367C4×Q8C22×D4311yescharacteristic
1368C4×D4—431no—
1369C4×D4—431no—
1370C4×D4—431no—
1371C4×D4—431no—
1372C4×D4—431no—
1373C4×D4—431no—
1374C4×D4—431no—
1375C4×D4—431no—
1376C4×D4—431no—
1377C4×D4—861no—
1378C4×D4—861no—
1379C4×D4—861no—
1380C4×D4—861no—
1381C4×D4—861no—
1382C4×D4—861no—
1383C4×D4—861no—
1384C4×D4—861no—
1385C4×D4—861no—
1386C4×D4—861no—
1387C4×D4—861no—
1388C4×D4—861no—
1389C4×D4—861no—
1390C4×D4—861no—
1391C4×D4C22×D4311yescharacteristic
1392#117—431no—
1393#117—431no—
1394#117—861no—
1395#117—861no—
1396#117—861no—
1397#117—861no—
1398#117C22×D4311yescharacteristic
1399C2×C4⋊C4—431no—
1400C2×C4⋊C4—431no—
1401C2×C4⋊C4—861no—
1402C2×C4⋊C4—861no—
1403C2×C4⋊C4—861no—
1404C2×C42—431no—
1405C2×C42—431no—
1406C2×C42—431no—
1407C4⋊C8—431no—
1408C4⋊C8—431no—
1409C4⋊C8—431no—
1410C4⋊C8—431no—
1411C4⋊C8—431no—
1412C4⋊C8—431no—
1413C4⋊C8C22×D4311yescharacteristic
1414C4⋊C8C22×D4311yescharacteristic
1415#103—431no—
1416#103—431no—
1417#103—431no—
1418#103—431no—
1419#103—431no—
1420#103—431no—
1421#103C22×D4311yescharacteristic
1422#103C22×D4311yescharacteristic
1423#102—431no—
1424#102—431no—
1425#102—431no—
1426#102—431no—
1427#102—431no—
1428#102—431no—
1429#102—431no—
1430#102—431no—
1431#102—431no—
1432#102—431no—
1433#102—431no—
1434#102—431no—
1435#102—431no—
1436#102—431no—
1437#102—431no—
1438#102—431no—
1439#102—431no—
1440#102—431no—
1441#102C22×D4311yescharacteristic
1442#102C22×D4311yescharacteristic
1443#102C22×D4311yescharacteristic
1444#102C22×D4311yescharacteristic
1445#102C22×D4311yescharacteristic
1446#102C22×D4311yescharacteristic
1447C22⋊C8—431no—
1448C22⋊C8—431no—
1449C22⋊C8—431no—
1450C22⋊C8—431no—
1451C22⋊C8—431no—
1452C22⋊C8—431no—
1453C22⋊C8C22×D4311yescharacteristic
1454C22⋊C8C22×D4311yescharacteristic
1455#97—431no—
1456#97C22×D4311yescharacteristic
1457C4×C8—431no—
1458C4×C8—431no—
1459C4×C8—431no—
1460C4×C8—431no—
1461C4×C8—431no—
1462C4×C8C22×D4311yescharacteristic
1463C24—21no—
1464C24—861no—
1465C24—861no—
1466C24—861no—
1467C24—861no—
1468C24—861no—
1469#41—41no—
1470#41—41no—
1471#41—862no—
1472#41—862no—
1473#41—862no—
1474#41—862no—
1475#41—862no—
1476#41—862no—
1477#41—862no—
1478#41—862no—
1479#41—862no—
1480#41—862no—
1481#41—3442no—
1482#41—3442no—
1483#41—1721no—
1484#41—1721no—
1485#41—1724no—
1486#41—1721no—
1487#41—1721no—
1488#41—1721no—
1489#41—1721no—
1490#41—1724no—
1491C2×Q8—21no—
1492C2×Q8—431no—
1493C2×Q8—431no—
1494C2×Q8—431no—
1495C2×Q8—861no—
1496C2×Q8—861no—
1497C2×Q8—861no—
1498C2×Q8—3442no—
1499C2×Q8C23×D4311yescharacteristic
1500C2×Q8C23×D4311yescharacteristic
1501C2×D4—21no—
1502C2×D4—21no—
1503C2×D4—21no—
1504C2×D4—21no—
1505C2×D4—21no—
1506C2×D4—21no—
1507C2×D4—21no—
1508C2×D4—41no—
1509C2×D4—41no—
1510C2×D4—431no—
1511C2×D4—431no—
1512C2×D4—431no—
1513C2×D4—431no—
1514C2×D4—431no—
1515C2×D4—431no—
1516C2×D4—431no—
1517C2×D4—861no—
1518C2×D4—861no—
1519C2×D4—861no—
1520C2×D4—861no—
1521C2×D4—862no—
1522C2×D4—862no—
1523C2×D4—862no—
1524C2×D4—862no—
1525C2×D4—861no—
1526C2×D4—861no—
1527C2×D4—861no—
1528C2×D4—861no—
1529C2×D4—861no—
1530C2×D4—861no—
1531C2×D4—861no—
1532C2×D4—861no—
1533C2×D4—861no—
1534C2×D4—861no—
1535C2×D4—861no—
1536C2×D4—861no—
1537C2×D4—861no—
1538C2×D4—861no—
1539C2×D4—861no—
1540C2×D4—861no—
1541C2×D4—861no—
1542C2×D4—861no—
1543C2×D4—861no—
1544C2×D4—861no—
1545C2×D4—861no—
1546C2×D4—861no—
1547C2×D4—861no—
1548C2×D4—861no—
1549C2×D4—861no—
1550C2×D4—861no—
1551C2×D4—861no—
1552C2×D4—3442no—
1553C2×D4—3442no—
1554C2×D4—3442no—
1555C2×D4—3442no—
1556C2×D4—3442no—
1557C2×D4—3442no—
1558C2×D4—1721no—
1559C2×D4—1721no—
1560C2×D4—1724no—
1561C2×D4—1721no—
1562C2×D4—1721no—
1563C2×D4—1721no—
1564C2×D4—1721no—
1565C2×D4—1724no—
1566C2×D4—1724no—
1567C2×D4—1724no—
1568C2×D4—1724no—
1569C2×D4—1724no—
1570C2×D4C23×D4311yescharacteristic
1571C2×D4C23×D4311yescharacteristic
1572C2×D4C23×D4311yescharacteristic
1573C2×D4C23×D4311yescharacteristic
1574C22×C4—21no—
1575C22×C4—21no—
1576C22×C4—431no—
1577C22×C4—431no—
1578C22×C4—431no—
1579C22×C4—431no—
1580C22×C4—431no—
1581C22×C4—431no—
1582C22×C4—431no—
1583C22×C4—431no—
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×C4C23×D4311yescharacteristic
1597Q16—41no—
1598Q16—1721no—
1599Q16—1721no—
1600Q16—1721no—
1601SD16—41no—
1602SD16—41no—
1603SD16—41no—
1604SD16—41no—
1605SD16—1721no—
1606SD16—1721no—
1607SD16—1721no—
1608SD16—1721no—
1609SD16—1721no—
1610SD16—1721no—
1611SD16—1721no—
1612SD16—1721no—
1613SD16—1721no—
1614SD16—1721no—
1615SD16—1721no—
1616SD16—1721no—
1617D8—41no—
1618D8—41no—
1619D8—41no—
1620D8—1721no—
1621D8—1721no—
1622D8—1721no—
1623D8—1721no—
1624D8—1721no—
1625D8—1721no—
1626D8—1721no—
1627D8—1721no—
1628D8—1721no—
1629M16—862no—
1630M16—862no—
1631C2×C8—431no—
1632C2×C8—431no—
1633C2×C8—431no—
1634C2×C8—431no—
1635C2×C8—862no—
1636C2×C8—862no—
1637C2×C8C23×D4311yescharacteristic
1638C2×C8C23×D4311yescharacteristic
1639C2×C8C23×D4311yescharacteristic
1640C2×C8C23×D4311yescharacteristic
1641C4⋊C4—21no—
1642C4⋊C4—21no—
1643C4⋊C4—21no—
1644C4⋊C4—431no—
1645C4⋊C4—431no—
1646C4⋊C4—431no—
1647C4⋊C4—431no—
1648C4⋊C4—431no—
1649C4⋊C4—431no—
1650C4⋊C4—861no—
1651C4⋊C4—861no—
1652C4⋊C4—861no—
1653C4⋊C4—861no—
1654C4⋊C4—861no—
1655C4⋊C4—861no—
1656C4⋊C4—861no—
1657C4⋊C4—861no—
1658C4⋊C4—861no—
1659C4⋊C4—861no—
1660C4⋊C4—861no—
1661C4⋊C4—861no—
1662C4⋊C4—861no—
1663C4⋊C4—861no—
1664C4⋊C4—861no—
1665C4⋊C4D4×D4311yescharacteristic
1666C4⋊C4D4×D4311yescharacteristic
1667C4⋊C4C23×D4311yescharacteristic
1668C4⋊C4C23×D4311yescharacteristic
1669C22⋊C4—21no—
1670C22⋊C4—21no—
1671C22⋊C4—21no—
1672C22⋊C4—21no—
1673C22⋊C4—21no—
1674C22⋊C4—21no—
1675C22⋊C4—21no—
1676C22⋊C4—21no—
1677C22⋊C4—21no—
1678C22⋊C4—431no—
1679C22⋊C4—431no—
1680C22⋊C4—431no—
1681C22⋊C4—431no—
1682C22⋊C4—861no—
1683C22⋊C4—861no—
1684C22⋊C4—861no—
1685C22⋊C4—861no—
1686C22⋊C4—861no—
1687C22⋊C4—861no—
1688C22⋊C4—861no—
1689C22⋊C4—861no—
1690C22⋊C4—861no—
1691C22⋊C4—861no—
1692C22⋊C4—861no—
1693C22⋊C4—861no—
1694C22⋊C4—861no—
1695C22⋊C4—861no—
1696C22⋊C4—861no—
1697C22⋊C4—861no—
1698C22⋊C4—861no—
1699C22⋊C4—861no—
1700C22⋊C4—861no—
1701C22⋊C4D4×D4311yescharacteristic
1702C22⋊C4D4×D4311yescharacteristic
1703C42—21no—
1704C42—431no—
1705C42—431no—
1706C42—431no—
1707C42—431no—
1708C42—431no—
1709C42—431no—
1710C42—431no—
1711C42—431no—
1712C42—861no—
1713C42—861no—
1714C42—861no—
1715C42C23×D4311yescharacteristic
1716C42C23×D4311yescharacteristic
1717C23—21no—
1718C23—21no—
1719C23—21no—
1720C23—21no—
1721C23—42no—
1722C23—81no—
1723C23—81no—
1724C23—431no—
1725C23—431no—
1726C23—861no—
1727C23—861no—
1728C23—861no—
1729C23—861no—
1730C23—3441no—
1731C23—3441no—
1732C23—3441no—
1733C23—3441no—
1734C23—3441no—
1735C23—3441no—
1736C23—3441no—
1737C23—3441no—
1738C23—3441no—
1739C23—3441no—
1740C23—1722no—
1741C23—1722no—
1742C23—1722no—
1743C23—1722no—
1744C23—1722no—
1745C23C2×D4×D4311yescharacteristic
1746Q8—21no—
1747Q8—21no—
1748Q8—21no—
1749Q8—21no—
1750Q8—81no—
1751Q8—862no—
1752Q8—861no—
1753Q8—861no—
1754Q8—861no—
1755Q8—861no—
1756Q8—3441no—
1757Q8—1722no—
1758Q8—1722no—
1759D4—21no—
1760D4—21no—
1761D4—21no—
1762D4—21no—
1763D4—21no—
1764D4—21no—
1765D4—21no—
1766D4—21no—
1767D4—42no—
1768D4—42no—
1769D4—81no—
1770D4—81no—
1771D4—81no—
1772D4—81no—
1773D4—81no—
1774D4—862no—
1775D4—862no—
1776D4—862no—
1777D4—861no—
1778D4—861no—
1779D4—861no—
1780D4—861no—
1781D4—861no—
1782D4—861no—
1783D4—861no—
1784D4—861no—
1785D4—3441no—
1786D4—3441no—
1787D4—3441no—
1788D4—3441no—
1789D4—3441no—
1790D4—3441no—
1791D4—3441no—
1792D4—3441no—
1793D4—3441no—
1794D4—3441no—
1795D4—3441no—
1796D4—1722no—
1797D4—1722no—
1798D4—1722no—
1799D4—1722no—
1800D4—1722no—
1801D4—1722no—
1802D4—1722no—
1803D4—1722no—
1804D4—1722no—
1805D4—1722no—
1806D4—1722no—
1807D4—1722no—
1808D4—1722no—
1809D4—1722no—
1810D4—1722no—
1811D4—1722no—
1812D4—1722no—
1813D4—1722no—
1814D4—1722no—
1815D4—1722no—
1816C2×C4—21no—
1817C2×C4—21no—
1818C2×C4—21no—
1819C2×C4—21no—
1820C2×C4—21no—
1821C2×C4—21no—
1822C2×C4—42no—
1823C2×C4—81no—
1824C2×C4—431no—
1825C2×C4—431no—
1826C2×C4—431no—
1827C2×C4—432no—
1828C2×C4—432no—
1829C2×C4—431no—
1830C2×C4—431no—
1831C2×C4—431no—
1832C2×C4—862no—
1833C2×C4—862no—
1834C2×C4—862no—
1835C2×C4—862no—
1836C2×C4—862no—
1837C2×C4—862no—
1838C2×C4—861no—
1839C2×C4—861no—
1840C2×C4—861no—
1841C2×C4—861no—
1842C2×C4—861no—
1843C2×C4—861no—
1844C2×C4—3441no—
1845C2×C4—3441no—
1846C2×C4—3441no—
1847C2×C4—3441no—
1848C2×C4—3441no—
1849C2×C4—1722no—
1850C2×C4—1722no—
1851C2×C4—1722no—
1852C2×C4—1722no—
1853C2×C4—1722no—
1854C2×C4—1722no—
1855C2×C4—1722no—
1856C2×C4C2×D4×D4311yescharacteristic
1857C2×C4C2×D4×D4311yescharacteristic
1858C2×C4C2×D4×D4311yescharacteristic
1859C2×C4C2×D4×D4311yescharacteristic
1860C2×C4C2×D4×D4311yescharacteristic
1861C2×C4C24×D4311yescharacteristic
1862C8—21no—
1863C8—21no—
1864C8—21no—
1865C8—21no—
1866C8—861no—
1867C8—861no—
1868C8—861no—
1869C8—861no—
1870C22—21no—
1871C22—21no—
1872C22—21no—
1873C22—41no—
1874C22—41no—
1875C22—41no—
1876C22—41no—
1877C22—41no—
1878C22—41no—
1879C22—41no—
1880C22—41no—
1881C22—41no—
1882C22—41no—
1883C22—41no—
1884C22—41no—
1885C22—162no—
1886C22—432no—
1887C22—861no—
1888C22—861no—
1889C22—861no—
1890C22—861no—
1891C22—861no—
1892C22—1721no—
1893C22—1721no—
1894C22—1721no—
1895C22—1721no—
1896C22—1721no—
1897C22—1721no—
1898C22—1721no—
1899C22—1721no—
1900C22—1721no—
1901C22—1721no—
1902C22—1721no—
1903C22—1721no—
1904C22—6882no—
1905C22—6882no—
1906C22—6882no—
1907C22—6882no—
1908C22—6882no—
1909C22C22×D4×D4311yescharacteristic
1910C4—21no—
1911C4—21no—
1912C4—21no—
1913C4—21no—
1914C4—21no—
1915C4—41no—
1916C4—41no—
1917C4—41no—
1918C4—41no—
1919C4—432no—
1920C4—432no—
1921C4—432no—
1922C4—861no—
1923C4—861no—
1924C4—861no—
1925C4—1721no—
1926C4—1721no—
1927C4—1721no—
1928C4—1721no—
1929C4H(5,𝔽2)×D4311yescharacteristic
1930C4H(5,𝔽2)×D4311yescharacteristic
1931C2—41no—
1932C2—81no—
1933C2—81no—
1934C2—81no—
1935C2—81no—
1936C2—862no—
1937C2—3441no—
1938C2—3441no—
1939C2—3441no—
1940C2—3441no—
1941C2—1721no—
1942C2#535×D4311yescharacteristic
1943C2#576×D4311yescharacteristic
1944C2#577×D4311yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3224C2
socleC22×C43C23×D4
hypercenter#3224D43
hypocenterC43#60822
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ #117 ◁ #3224

Complements

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

NH ≅ G/Ntype
1. #19148500C2semidirect
2. #19148370C2semidirect
3. #19145692C2semidirect
4. #19145691C2semidirect
5. #19145690C2semidirect
6. #19145689C2semidirect
7. #19145684C2semidirect
8. #19145683C2semidirect
9. #19145682C2semidirect
10. #19145550C2semidirect
11. #19145549C2semidirect
12. #19145535C2semidirect
13. #19145534C2semidirect
14. #19145527C2semidirect
15. #19145526C2semidirect
16. #19145512C2semidirect
17. #19145511C2semidirect
18. #19145044C2semidirect
19. #19145020C2semidirect
20. #19144987C2semidirect
21. #486×D43C2semidirect
22. #19144137C2semidirect
23. #19144135C2semidirect
24. #19144131C2semidirect
25. #19144129C2semidirect
26. #19143903C2semidirect
27. #19143900C2semidirect
28. #19143897C2semidirect
29. #19143894C2semidirect
30. #19143236C2semidirect
31. C43×#3224C2semidirect
34. C2×#13063352C22semidirect
35. C2×#13063352C22semidirect
36. C2×#13063349C22semidirect
37. C2×#13063349C22semidirect
38. C2×#13063348C22semidirect
39. C2×#13063346C22semidirect
40. C2×#13063346C22semidirect
41. C2×#13063344C22semidirect
58. #14583523C22semidirect
59. #14583520C22semidirect
60. #14583518C22semidirect
68. #14583453C22semidirect
69. #14583451C22semidirect
72. #14583448C22semidirect
73. #14583446C22semidirect
75. #14583444C22semidirect
76. C4⋊Q8×D43C22semidirect
80. #14583381C22semidirect
81. #14583378C22semidirect
83. #14583289C22semidirect
84. #14583288C22semidirect
85. #14583286C22semidirect
86. #14583283C22semidirect
87. #14583281C22semidirect
88. #14583281C22semidirect
89. #14583277C22semidirect
90. #14583274C22semidirect
91. #14583274C22semidirect
92. #14583274C22semidirect
93. #14583270C22semidirect
94. #14583270C22semidirect
95. #14583270C22semidirect
96. #14583270C22semidirect
97. #14583261C22semidirect
98. #14583259C22semidirect
99. #14583258C22semidirect
100. #14583248C22semidirect
101. #14583248C22semidirect
102. #14583247C22semidirect
103. #14583246C22semidirect
104. #14583245C22semidirect
105. #14583244C22semidirect
106. #14583244C22semidirect
107. #14583244C22semidirect
108. #14583244C22semidirect
109. #14583244C22semidirect
110. #14583244C22semidirect
111. #14583124C22semidirect
112. #14583123C22semidirect
113. #14583122C22semidirect
114. #14583121C22semidirect
115. #14583120C22semidirect
116. #14583119C22semidirect
117. #14583118C22semidirect
118. #14583117C22semidirect
119. #14583116C22semidirect
120. #14583115C22semidirect
121. #14583114C22semidirect
122. #14583113C22semidirect
123. #14583112C22semidirect
124. #14583111C22semidirect
125. #14583100C22semidirect
126. #14583099C22semidirect
127. #14583098C22semidirect
128. #14583098C22semidirect
129. #14583097C22semidirect
130. #14583097C22semidirect
131. #14583096C22semidirect
132. #14583095C22semidirect
133. #14583094C22semidirect
134. #14583093C22semidirect
135. #14583093C22semidirect
136. #14583092C22semidirect
137. #14583092C22semidirect
138. #14583091C22semidirect
139. #14583064C22semidirect
140. #14583063C22semidirect
141. #14583062C22semidirect
142. #14583061C22semidirect
143. #14583060C22semidirect
144. #14583059C22semidirect
145. #14583058C22semidirect
146. #14583052C22semidirect
147. #14583051C22semidirect
148. #14583051C22semidirect
149. #14583050C22semidirect
150. #14583049C22semidirect
151. #14583048C22semidirect
152. #14583048C22semidirect
153. #14583047C22semidirect
154. #14583046C22semidirect
155. #14583045C22semidirect
156. #14583044C22semidirect
157. #14583043C22semidirect
158. #14583042C22semidirect
159. #14583041C22semidirect
160. #14583035C22semidirect
161. #14583034C22semidirect
162. #14583034C22semidirect
163. #14583033C22semidirect
164. #14583032C22semidirect
165. #14583031C22semidirect
166. #14583031C22semidirect
167. #14582961C22semidirect
168. #14582960C22semidirect
169. #14582958C22semidirect
170. #14582951C22semidirect
171. #14582951C22semidirect
172. #14582949C22semidirect
173. #14582949C22semidirect
174. #14582924C22semidirect
175. #14582924C22semidirect
176. #14582899C22semidirect
177. #14582899C22semidirect
178. #14582897C22semidirect
179. #14582897C22semidirect
180. #102×D43C22semidirect
181. #102×D43C22semidirect
182. #102×D43C22semidirect
183. #102×D43C22semidirect
186. #14582851C22semidirect
187. C4×C8×D43C22semidirect
188. C43×#542C22semidirect
190. C43×#496C22semidirect
191. C43×#495C22semidirect
192. C43×#489C22semidirect
193. C43×#486C22semidirect
194. C43×#464C22semidirect
195. C43×#463C22semidirect
196. C43×#460C22semidirect
197. C43×#459C22semidirect
198. C43×#452C22semidirect
199. C43×#450C22semidirect
200. C43×#449C22semidirect
201. C43×#447C22semidirect
202. C43×#433C22semidirect
968. #3224D43semidirect
1033. #542C2×D43semidirect
1060. #496C2×D43semidirect
1064. #495C2×D43semidirect
1076. #489C2×D43semidirect
1088. #486C2×D43semidirect
1096. #464C2×D43semidirect
1104. #463C2×D43semidirect
1112. #460C2×D43semidirect
1120. #459C2×D43semidirect
1128. #452C2×D43semidirect
1136. #450C2×D43semidirect
1144. #449C2×D43semidirect
1152. #447C2×D43semidirect
1156. #433C2×D43semidirect
1175. C43#60822semidirect

Maximal subgroups

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

subgroupindex
#191485002
#191483702
#191456922
#191456912
#191456902
#191456892
#191456842
#191456832
#191456822
#191455502
#191455492
#191455352
#191455342
#191455272
#191455262
#191455122
#191455112
#191450442
#191450202
#191449872
#486×D432
#191441372
#191441352
#191441312
#191441292
#191439032
#191439002
#191438972
#191438942
#191432362
C43×#32242
#6082243