Finite Group Databasebeta

← #25968497

Subgroups — #25968497

Order 11008.

2208 conjugacy classes of subgroups.

The subgroup lattice has 1964 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19148370C211yesmaximal, characteristic, complemented
2#19148015C211yesmaximal, characteristic, complemented
3#19145696C211yesmaximal, characteristic, complemented
4#19145694C211yesmaximal, characteristic, complemented
5#19145683C211yesmaximal, characteristic, complemented
6#19145647C211yesmaximal, characteristic, complemented
7#19145645C211yesmaximal, characteristic, complemented
8#19145644C211yesmaximal, characteristic, complemented
9#19145642C211yesmaximal, characteristic, complemented
10#19145616C211yesmaximal, characteristic, complemented
11#19145609C211yesmaximal, characteristic, complemented
12#19145591C211yesmaximal, characteristic, complemented
13#19145587C211yesmaximal, characteristic, complemented
14#19145574C211yesmaximal, characteristic, complemented
15#19145566C211yesmaximal, characteristic, complemented
16#19145514C211yesmaximal, characteristic, complemented
17#19145511C211yesmaximal, characteristic, complemented
18#19145079C211yesmaximal, characteristic, complemented
19#19145077C211yesmaximal, characteristic, complemented
20#19144946C211yesmaximal, characteristic, complemented
21#19144944C211yesmaximal, characteristic, complemented
22#19144072C211yesmaximal, characteristic, complemented
23#19144057C211yesmaximal, characteristic, complemented
24#19144049C211yesmaximal, characteristic, complemented
25#459×D43C211yesmaximal, characteristic, complemented
26#19143903C211yesmaximal, characteristic, complemented
27#19143900C211yesmaximal, characteristic, complemented
28#19143860C211yesmaximal, characteristic, complemented
29#19143858C211yesmaximal, characteristic, complemented
30#19143258C211yesmaximal, characteristic, complemented
31C43×#3224C211yesmaximal, characteristic, complemented
32C2×#13063371C2211yescharacteristic
33C2×#13063370C2211yescharacteristic
34C2×#13063352C2211yescharacteristic, complemented
35C2×#13063352C2211yescharacteristic, complemented
36C2×#13063352C2211yescharacteristic, complemented
37C2×#13063349C2211yescharacteristic, complemented
38C2×#13063348C2211yescharacteristic, complemented
39C2×#13063346C2211yescharacteristic, complemented
40C2×D8×D43C2211yescharacteristic, complemented
41C2×D8×D43C2211yescharacteristic, complemented
42#14583567—21no—
43#14583567—21no—
44#14583533—21no—
45#14583533—21no—
46#14583531—21no—
47#14583531—21no—
48#14583531—21no—
49#14583531—21no—
50#14583526C2211yescharacteristic, complemented
51#14583521C2211yescharacteristic, complemented
52#14583519—21no—
53#14583504C2211yescharacteristic, complemented
54#14583501—21no—
55#14583500C2211yescharacteristic, complemented
56#14583488—21no—
57#14583483—21no—
58#14583479C2211yescharacteristic
59#14583468C2211yescharacteristic, complemented
60#14583467C2211yescharacteristic
61#14583467C2211yescharacteristic, complemented
62#14583467C2211yescharacteristic, complemented
63#14583465C2211yescharacteristic
64#14583462C2211yescharacteristic
65#14583462C2211yescharacteristic, complemented
66#14583450C2211yescharacteristic, complemented
67#14583448—21no—
68#14583448C2211yescharacteristic
69#14583448C2211yescharacteristic, complemented
70#14583445C2211yescharacteristic, complemented
71#14583444C2211yescharacteristic, complemented
72C2×#13063321C2211yescharacteristic, complemented
73#127×D43C2211yescharacteristic
74#127×D43C2211yescharacteristic, complemented
75#14583435C2211yescharacteristic, complemented
76#14583432—21no—
77#14583428C2211yescharacteristic, complemented
78#14583412—21no—
79#14583407—21no—
80C4×#10621902C2211yescharacteristic, complemented
81#14583367C2211yescharacteristic
82C4×D4×D43C2211yescharacteristic, complemented
83#14583289C2211yescharacteristic, complemented
84#14583289C2211yescharacteristic, complemented
85#14583288C2211yescharacteristic, complemented
86#14583287C2211yescharacteristic, complemented
87#14583285C2211yescharacteristic, complemented
88#14583285C2211yescharacteristic, complemented
89#14583285C2211yescharacteristic, complemented
90#14583284C2211yescharacteristic, complemented
91#14583281C2211yescharacteristic, complemented
92#14583280C2211yescharacteristic, complemented
93#14583276C2211yescharacteristic, complemented
94#14583275C2211yescharacteristic, complemented
95#14583274C2211yescharacteristic, complemented
96#14583274C2211yescharacteristic, complemented
97#14583264C2211yescharacteristic, complemented
98#14583263C2211yescharacteristic, complemented
99#14583262C2211yescharacteristic, complemented
100#14583262C2211yescharacteristic, complemented
101#14583261C2211yescharacteristic, complemented
102#14583260C2211yescharacteristic, complemented
103#14583257C2211yescharacteristic, complemented
104#14583255C2211yescharacteristic, complemented
105#14583254C2211yescharacteristic, complemented
106#14583253C2211yescharacteristic, complemented
107#14583252C2211yescharacteristic, complemented
108#14583247C2211yescharacteristic, complemented
109#14583244C2211yescharacteristic, complemented
110#14583244C2211yescharacteristic, complemented
111#14583121C2211yescharacteristic, complemented
112#14583115C2211yescharacteristic, complemented
113#14583115C2211yescharacteristic, complemented
114#14583114C2211yescharacteristic, complemented
115#14583111C2211yescharacteristic, complemented
116#14583111C2211yescharacteristic, complemented
117#14583107C2211yescharacteristic, complemented
118#14583103C2211yescharacteristic, complemented
119#14583103C2211yescharacteristic, complemented
120#14583102C2211yescharacteristic, complemented
121#14583099C2211yescharacteristic, complemented
122#14583097C2211yescharacteristic, complemented
123#14583097C2211yescharacteristic, complemented
124#14583097C2211yescharacteristic, complemented
125#14583095C2211yescharacteristic, complemented
126#14583095C2211yescharacteristic, complemented
127#14583094C2211yescharacteristic, complemented
128#14583093C2211yescharacteristic, complemented
129#14583093C2211yescharacteristic, complemented
130#14583093C2211yescharacteristic, complemented
131#14583093C2211yescharacteristic, complemented
132#14583093C2211yescharacteristic, complemented
133#14583093C2211yescharacteristic, complemented
134#14583092C2211yescharacteristic, complemented
135#14583092C2211yescharacteristic, complemented
136#14583092C2211yescharacteristic, complemented
137#14583091C2211yescharacteristic, complemented
138#14583091C2211yescharacteristic, complemented
139#14583060C2211yescharacteristic, complemented
140#14583059C2211yescharacteristic, complemented
141#14583058C2211yescharacteristic, complemented
142#14583049C2211yescharacteristic, complemented
143#14583048C2211yescharacteristic, complemented
144#14583048C2211yescharacteristic, complemented
145#14583047C2211yescharacteristic, complemented
146#14583047C2211yescharacteristic, complemented
147#14583046C2211yescharacteristic, complemented
148#14583046C2211yescharacteristic, complemented
149#14583045C2211yescharacteristic, complemented
150#14583045C2211yescharacteristic, complemented
151#14583044C2211yescharacteristic, complemented
152#14583044C2211yescharacteristic, complemented
153#14583043C2211yescharacteristic, complemented
154#14583042C2211yescharacteristic, complemented
155#14583041C2211yescharacteristic, complemented
156#14583035C2211yescharacteristic, complemented
157#14583035C2211yescharacteristic, complemented
158#14583034C2211yescharacteristic, complemented
159#14583034C2211yescharacteristic, complemented
160#14583034C2211yescharacteristic, complemented
161#14583034C2211yescharacteristic, complemented
162#14583033C2211yescharacteristic, complemented
163#14583033C2211yescharacteristic, complemented
164#14583032C2211yescharacteristic, complemented
165#14583031C2211yescharacteristic, complemented
166#14583031C2211yescharacteristic, complemented
167#14582960C2211yescharacteristic, complemented
168#14582959C2211yescharacteristic, complemented
169#14582959C2211yescharacteristic, complemented
170#14582954C2211yescharacteristic, complemented
171#14582953C2211yescharacteristic, complemented
172#14582950C2211yescharacteristic, complemented
173#14582949C2211yescharacteristic, complemented
174#14582921C2211yescharacteristic, complemented
175C4⋊C8×D43C2211yescharacteristic, complemented
176#14582902C2211yescharacteristic, complemented
177#14582902C2211yescharacteristic, complemented
178#14582899C2211yescharacteristic, complemented
179#14582897C2211yescharacteristic, complemented
180#14582894C2211yescharacteristic, complemented
181#14582892C2211yescharacteristic, complemented
182#102×D43C2211yescharacteristic, complemented
183#102×D43C2211yescharacteristic, complemented
184#14582864C2211yescharacteristic
185#14582864C2211yescharacteristic
186#14582856C2211yescharacteristic, complemented
187#14582853C2211yescharacteristic, complemented
188C43×#542C2211yescharacteristic, complemented
189C43×#535C2211yescharacteristic, complemented
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×#10621902—21no—
208C2×#10621902C2311yescharacteristic
209C2×#10621902C2311yescharacteristic
210C2×#10621902C2311yescharacteristic
211C2×#10621898—21no—
212C2×#10621898C2311yescharacteristic
213C2×#10621898C2311yescharacteristic
214C2×#10621900—21no—
215C2×#10621900—21no—
216C2×#10621900C2311yescharacteristic
217C2×#10621900C2311yescharacteristic
218C22×D172—21no—
219C22×D172C2311yescharacteristic
220C22×C22⋊D43—21no—
221C22×C22⋊D43—21no—
222C22×C22⋊D43—21no—
223C22×C22⋊D43—21no—
224C2×D4×D43—21no—
225C2×D4×D43—21no—
226C2×D4×D43—21no—
227C2×D4×D43—21no—
228C2×D4×D43—21no—
229C2×D4×D43—21no—
230C2×D4×D43—21no—
231C2×D4×D43C2311yescharacteristic
232C2×D4×D43C2311yescharacteristic
233C2×D4×D43C2311yescharacteristic
234C2×D4×D43C2311yescharacteristic
235C2×D4×D43C2311yescharacteristic
236C22×C4×D43—21no—
237#13063352—42no—
238#13063352—42no—
239#13063352—42no—
240#13063349—42no—
241#13063348—42no—
242#13063346—42no—
243C2×#10621885C2311yescharacteristic
244C2×#10621873C2311yescharacteristic
245C2×#10621873C2311yescharacteristic
246C2×#10621883C2311yescharacteristic
247C2×#10621884C2311yescharacteristic
248C2×#10621884C2311yescharacteristic
249C2×#10621884C2311yescharacteristic
250C2×#10621884C2311yescharacteristic
251C2×#10621884C2311yescharacteristic
252C2×D344C2311yescharacteristic
253C2×D344C2311yescharacteristic
254C2×D344C2311yescharacteristic
255C2×D344C2311yescharacteristic
256C2×D344C2311yescharacteristic
257C2×D344C2311yescharacteristic
258C2×#10621882C2311yescharacteristic
259C2×#10621882C2311yescharacteristic
260C2×#10621882C2311yescharacteristic
261C2×#10621882C2311yescharacteristic
262C2×#10621882C2311yescharacteristic
263C2×#10621882C2311yescharacteristic
264C2×#10621882C2311yescharacteristic
265C2×#10621882C2311yescharacteristic
266C2×#10621882C2311yescharacteristic
267D8×D43—42no—
268D8×D43—42no—
269C2×#10621872C2311yescharacteristic
270C2×#10621872C2311yescharacteristic
271C2×C8×D43C2311yescharacteristic
272C2×C8×D43C2311yescharacteristic
273#13063324C2311yescharacteristic
274#13063323—21no—
275#13063323C2311yescharacteristic
276#13063322C2311yescharacteristic
277#13063322C2311yescharacteristic
278#13063322C2311yescharacteristic
279#13063321—21no—
280#13063321—21no—
281#13063321—21no—
282#13063321—21no—
283#13063321—21no—
284#13063321—21no—
285#13063321—21no—
286#13063321C2311yescharacteristic
287#13063321C2311yescharacteristic
288#13063321C2311yescharacteristic
289#13063321C2311yescharacteristic
290#13063321C2311yescharacteristic
291#13063321C2311yescharacteristic
292#13063320—21no—
293#13063319—21no—
294#13063318—21no—
295#13063317C2311yescharacteristic
296#13063316C2311yescharacteristic
297#13063315—21no—
298#13063314—21no—
299#13063314C2311yescharacteristic
300#13063314C2311yescharacteristic
301#13063313—21no—
302#13063313C2311yescharacteristic
303#13063313C2311yescharacteristic
304#13063312C2311yescharacteristic
305#13063311—21no—
306#13063311—21no—
307#13063310—21no—
308#13063310—21no—
309#13063310—21no—
310#13063309—21no—
311#13063308—21no—
312#13063307—21no—
313#13063307—21no—
314#13063303—21no—
315#13063303—21no—
316#13063303—21no—
317#13063301—21no—
318#13063301C2311yescharacteristic
319#13063300—21no—
320#13063300—21no—
321#13063300—21no—
322#13063300—21no—
323#13063300C2311yescharacteristic
324#13063300C2311yescharacteristic
325#13063299—21no—
326#13063299C2311yescharacteristic
327#13063299C2311yescharacteristic
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#13063298—21no—
342#13063298—21no—
343#13063297—21no—
344#13063297—21no—
345#13063297—21no—
346#13063297—21no—
347#13063297—21no—
348#13063297—21no—
349#13063297—21no—
350#13063296C2311yescharacteristic
351#13063295—21no—
352#13063295—21no—
353#13063295—21no—
354#13063295—21no—
355#13063295—21no—
356#13063295—21no—
357#13063295—21no—
358#13063295—21no—
359#13063295—21no—
360#13063293—21no—
361#13063293—21no—
362#13063293—21no—
363#13063293—21no—
364#13063293—21no—
365Q8×Dic43C2311yescharacteristic
366#13063290D411yescharacteristic
367#13063290D411yescharacteristic
368C4×D172—21no—
369C4×D172C2311yescharacteristic
370C4×D172C2311yescharacteristic
371D4×Dic43C2311yescharacteristic
372#13063287—21no—
373#13063287—21no—
374#13063287D411yescharacteristic
375#13063287D411yescharacteristic
376#13063287C2311yescharacteristic
377#13063287C2311yescharacteristic
378C4×C22⋊D43—21no—
379C4×C22⋊D43—21no—
380C4×C22⋊D43—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)⋊C4—21no—
388(C22⋊D43)⋊C4—21no—
389(C22⋊D43)⋊C4D411yescharacteristic
390(C22⋊D43)⋊C4D411yescharacteristic
391(C22⋊D43)⋊C4D411yescharacteristic
392(C22⋊D43)⋊C4D411yescharacteristic
393#13063283—21no—
394#13063283—21no—
395#13063283C2311yescharacteristic
396#13063282C2311yescharacteristic
397#13063282C2311yescharacteristic
398#13063281—21no—
399C4⋊C4×D43C2311yescharacteristic
400C22⋊C4×D43—21no—
401C2×C4×Dic43C2311yescharacteristic
402C42×D43—21no—
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
442#13063235C2311yescharacteristic
443#13063235C2311yescharacteristic
444C4×C43⋊C8C2311yescharacteristic
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—
496C23×D43—21no—
497#41×C43—41no—
498#41×C43—41no—
499C2×Q8×C43—21no—
500C2×Q8×C43C2411yescharacteristic
501C2×Q8×C43C2411yescharacteristic
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—21no—
509C2×D4×C43—41no—
510C2×D4×C43—41no—
511C2×D4×C43C2411yescharacteristic
512C2×D4×C43C2411yescharacteristic
513C2×D4×C43C2411yescharacteristic
514C2×D4×C43C2411yescharacteristic
515C22×C4×C43—21no—
516C22×C4×C43—21no—
517C22×C4×C43C2411yescharacteristic
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—21no—
540C2×C22⋊D43—21no—
541C2×C22⋊D43—44no—
542C2×C22⋊D43—44no—
543C2×C22⋊D43—82no—
544C2×C22⋊D43—82no—
545C2×C22⋊D43C2×D411yescharacteristic
546C2×C22⋊D43C2×D411yescharacteristic
547C22×Dic43—21no—
548C22×Dic43—21no—
549C22×Dic43—21no—
550C22×Dic43C2×D411yescharacteristic
551C22×Dic43C2×D411yescharacteristic
552#10621902—22no—
553#10621902—22no—
554#10621902—22no—
555#10621902—22no—
556#10621902—41no—
557#10621902—41no—
558#10621902—82no—
559#10621900—22no—
560#10621900—22no—
561#10621900—41no—
562#10621900—41no—
563#10621900—44no—
564#10621900—82no—
565D4×D43—22no—
566D4×D43—22no—
567D4×D43—22no—
568D4×D43—22no—
569D4×D43—22no—
570D4×D43—22no—
571D4×D43—41no—
572D4×D43—41no—
573D4×D43—41no—
574D4×D43—41no—
575D4×D43—44no—
576D4×D43—44no—
577D4×D43—44no—
578D4×D43—82no—
579D4×D43—82no—
580D4×D43—82no—
581D4×D43—82no—
582#10621898—22no—
583#10621898—22no—
584#10621898—41no—
585#10621898—41no—
586#10621898—44no—
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—21no—
597C2×D172—21no—
598C2×D172—21no—
599C2×D172—41no—
600C2×D172—41no—
601C2×D172—44no—
602C2×D172C2×D411yescharacteristic
603C2×D172C2411yescharacteristic
604C2×D172C2411yescharacteristic
605C2×D172C2411yescharacteristic
606C2×D172C2411yescharacteristic
607C2×D172C2411yescharacteristic
608C2×C4×D43—21no—
609C2×C4×D43—21no—
610C2×C4×D43—21no—
611C2×C4×D43—21no—
612C2×C4×D43—21no—
613C2×C4×D43—21no—
614C2×C4×D43—21no—
615C2×C4×D43—21no—
616C2×C4×D43—21no—
617C2×C4×D43—82no—
618C2×C4×D43C2×D411yescharacteristic
619C2×C4×D43C2×D411yescharacteristic
620C2×C4×D43C2×D411yescharacteristic
621C2×C4×D43C2×D411yescharacteristic
622C2×C4×D43C2411yescharacteristic
623C2×C4×D43C2411yescharacteristic
624C2×Dic86—21no—
625C2×Dic86C2×D411yescharacteristic
626C2×Dic86C2411yescharacteristic
627Q16×C43—41no—
628SD16×C43—41no—
629SD16×C43—41no—
630SD16×C43—41no—
631SD16×C43—41no—
632D8×C43—41no—
633D8×C43—41no—
634D8×C43—41no—
635C2×C8×C43C2411yescharacteristic
636C2×C8×C43C2411yescharacteristic
637C2×C8×C43C2411yescharacteristic
638C2×C8×C43C2411yescharacteristic
639C4⋊C4×C43—21no—
640C4⋊C4×C43—21no—
641C4⋊C4×C43—21no—
642C4⋊C4×C43C2×D411yescharacteristic
643C4⋊C4×C43C2×D411yescharacteristic
644C4⋊C4×C43C2411yescharacteristic
645C4⋊C4×C43C2411yescharacteristic
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×C43—21no—
653C22⋊C4×C43—21no—
654C22⋊C4×C43—21no—
655C22⋊C4×C43C2×D411yescharacteristic
656C22⋊C4×C43C2×D411yescharacteristic
657C42×C43—21no—
658C42×C43C2411yescharacteristic
659C42×C43C2411yescharacteristic
660C22⋊Dic43—21no—
661C22⋊Dic43—21no—
662C22⋊Dic43—21no—
663C22⋊Dic43—21no—
664#10621885—41no—
665#10621884—41no—
666#10621884—41no—
667#10621884—41no—
668#10621884—41no—
669#10621884—41no—
670#10621883—41no—
671#10621882—41no—
672#10621882—41no—
673#10621882—41no—
674#10621882—41no—
675#10621882—41no—
676#10621882—41no—
677#10621882—41no—
678#10621882—41no—
679#10621882—41no—
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)⋊C4—21no—
693(C2×D43)⋊C4—21no—
694(C2×D43)⋊C4—21no—
695(C2×D43)⋊C4—21no—
696(C2×D43)⋊C4—21no—
697(C2×D43)⋊C4—21no—
698(C2×D43)⋊C4C2×D411yescharacteristic
699(C2×D43)⋊C4C2×D411yescharacteristic
700(C2×D43)⋊C4C2×D411yescharacteristic
701(C2×D43)⋊C4C2×D411yescharacteristic
702C4⋊Dic43—21no—
703C4⋊Dic43—21no—
704C4⋊Dic43C2411yescharacteristic
705C4⋊Dic43C2411yescharacteristic
706Dic43⋊C4—21no—
707Dic43⋊C4—21no—
708Dic43⋊C4—21no—
709Dic43⋊C4—21no—
710Dic43⋊C4—21no—
711Dic43⋊C4—21no—
712Dic43⋊C4—21no—
713Dic43⋊C4—21no—
714Dic43⋊C4C2×D411yescharacteristic
715Dic43⋊C4C2×D411yescharacteristic
716Dic43⋊C4C2×D411yescharacteristic
717Dic43⋊C4C2×D411yescharacteristic
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
732D344—41no—
733D344—41no—
734D344—41no—
735D344—41no—
736D344—41no—
737D344—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—21no—
757C22×D43—42no—
758C22×D43—42no—
759C22×D43—42no—
760C22×D43—42no—
761C22×D43—42no—
762C22×D43—42no—
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×D43—81no—
772C22×D43—81no—
773C22×D43—81no—
774C22×D43—81no—
775C22×D43C22×D411yescharacteristic
776C22×D43C22×D411yescharacteristic
777Q8×C43—21no—
778Q8×C43—21no—
779Q8×C43—21no—
780Q8×C43—21no—
781Q8×C43—81no—
782D4×C43—21no—
783D4×C43—21no—
784D4×C43—21no—
785D4×C43—21no—
786D4×C43—21no—
787D4×C43—21no—
788D4×C43—21no—
789D4×C43—21no—
790D4×C43—42no—
791D4×C43—42no—
792D4×C43—81no—
793D4×C43—81no—
794D4×C43—81no—
795D4×C43—81no—
796D4×C43—81no—
797C2×C4×C43—21no—
798C2×C4×C43—21no—
799C2×C4×C43—21no—
800C2×C4×C43—21no—
801C2×C4×C43—21no—
802C2×C4×C43—21no—
803C2×C4×C43—42no—
804C2×C4×C43—81no—
805C2×C4×C43C22×D411yescharacteristic
806C2×C4×C43C22×D411yescharacteristic
807C2×C4×C43C22×D411yescharacteristic
808C2×C4×C43C22×D411yescharacteristic
809C2×C4×C43C22×D411yescharacteristic
810C2×C4×C43C2511yescharacteristic
811C22⋊D43—22no—
812C22⋊D43—22no—
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—42no—
826C22⋊D43—42no—
827C22⋊D43—81no—
828C22⋊D43—81no—
829C22⋊D43—81no—
830C22⋊D43—81no—
831C22⋊D43—81no—
832C22⋊D43—81no—
833C22⋊D43—81no—
834C22⋊D43—81no—
835C22⋊D43—81no—
836C2×Dic43—22no—
837C2×Dic43—21no—
838C2×Dic43—21no—
839C2×Dic43—21no—
840C2×Dic43—41no—
841C2×Dic43—42no—
842C2×Dic43—42no—
843C2×Dic43—42no—
844C2×Dic43C22×D411yescharacteristic
845C2×Dic43C22×D411yescharacteristic
846C2×Dic43C22×D411yescharacteristic
847C2×Dic43C22×D411yescharacteristic
848C2×Dic43C22×D411yescharacteristic
849C2×Dic43C22×D411yescharacteristic
850D172—22no—
851D172—21no—
852D172—21no—
853D172—21no—
854D172—21no—
855D172—21no—
856D172—21no—
857D172—21no—
858D172—21no—
859D172—21no—
860D172—21no—
861D172—42no—
862D172—42no—
863D172—42no—
864D172—42no—
865D172—81no—
866D172—81no—
867D172—81no—
868D172—81no—
869D172—81no—
870D172—81no—
871D172—81no—
872D172—81no—
873C4×D43—21no—
874C4×D43—21no—
875C4×D43—22no—
876C4×D43—22no—
877C4×D43—41no—
878C4×D43—41no—
879C4×D43—42no—
880C4×D43—42no—
881C4×D43—42no—
882C4×D43—42no—
883C4×D43—42no—
884C4×D43—42no—
885C4×D43—81no—
886C4×D43—81no—
887C4×D43—81no—
888C4×D43H(5,𝔽2)12yes—
889C4×D43H(5,𝔽2)12yes—
890Dic86—22no—
891Dic86—21no—
892Dic86—21no—
893Dic86—81no—
894C8×C43—21no—
895C8×C43—21no—
896C8×C43—21no—
897C8×C43—21no—
898C43⋊C8—21no—
899C43⋊C8—21no—
900C43⋊C8—21no—
901C43⋊C8—21no—
902#60832—431nomaximal, Sylow
903C22×C43—21no—
904C22×C43—21no—
905C22×C43—21no—
906C22×C43—41no—
907C22×C43—41no—
908C22×C43—41no—
909C22×C43—41no—
910C22×C43—41no—
911C22×C43—41no—
912C22×C43—41no—
913C22×C43—41no—
914C22×C43—41no—
915C22×C43—41no—
916C22×C43—41no—
917C22×C43—41no—
918C22×C43—162no—
919C22×C43C23×D411yescharacteristic
920C2×D43—21no—
921C2×D43—21no—
922C2×D43—21no—
923C2×D43—21no—
924C2×D43—21no—
925C2×D43—41no—
926C2×D43—41no—
927C2×D43—41no—
928C2×D43—41no—
929C2×D43—41no—
930C2×D43—41no—
931C2×D43—41no—
932C2×D43—41no—
933C2×D43—41no—
934C2×D43—41no—
935C2×D43—41no—
936C2×D43—41no—
937C2×D43—41no—
938C2×D43—41no—
939C2×D43—41no—
940C2×D43—84no—
941C2×D43—162no—
942C2×D43—162no—
943C2×D43—162no—
944C2×D43—162no—
945C2×D43—162no—
946C2×D43#53512yes—
947C4×C43—21no—
948C4×C43—21no—
949C4×C43—21no—
950C4×C43—21no—
951C4×C43—21no—
952C4×C43—41no—
953C4×C43—41no—
954C4×C43—41no—
955C4×C43—41no—
956C4×C43C2×H(5,𝔽2)11yescharacteristic
957C4×C43C2×H(5,𝔽2)11yescharacteristic
958Dic43—21no—
959Dic43—21no—
960Dic43—21no—
961Dic43—21no—
962Dic43—41no—
963Dic43—41no—
964Dic43—41no—
965Dic43#53512yes—
966Dic43#57612yes—
967#3498—431no—
968#3460—431no—
969#3224—431no—
970#3224—431no—
971#3224—431no—
972#3224D4311yescharacteristic, complemented
973#3220—431no—
974#3220—431no—
975#3220—431no—
976#3220—431no—
977#3217—431no—
978#3217—431no—
979#3214—431no—
980#3214—431no—
981#3212—431no—
982#3212—431no—
983#3205—431no—
984#3205—431no—
985#3155—431no—
986#3155—431no—
987#3136—431no—
988#3136—431no—
989#3038—431no—
990#3036—431no—
991#3035—431no—
992C2×#459—431no—
993#3012—431no—
994#3012—431no—
995#3008—431no—
996#3008—431no—
997#2925—431no—
998C2×C43—41no—
999C2×C43—81no—
1000C2×C43—81no—
1001C2×C43—81no—
1002C2×C43—81no—
1003C2×C43C2×#53511yescharacteristic
1004C2×C43C2×#57611yescharacteristic
1005C2×C43#358511yescharacteristic
1006D43—22no—
1007D43—41no—
1008D43—81no—
1009D43—81no—
1010D43—81no—
1011D43—81no—
1012D43—81no—
1013C2×H(5,𝔽2)—431no—
1014C2×H(5,𝔽2)—431no—
1015C2×AGL(1,ℤ/8)—431no—
1016C2×AGL(1,ℤ/8)—431no—
1017C2×AGL(1,ℤ/8)—431no—
1018C2×AGL(1,ℤ/8)—431no—
1019C2×#135—431no—
1020C2×#135—431no—
1021C22×D8—431no—
1022C22×D8—431no—
1023#550—861no—
1024#550—861no—
1025D42—861no—
1026D42—861no—
1027D42—861no—
1028D42—861no—
1029D42—861no—
1030D42—861no—
1031#544—431no—
1032#542—431no—
1033#542—861no—
1034#542C2×D4311yescharacteristic, complemented
1035#540—431no—
1036#540—431no—
1037#540—861no—
1038#538—861no—
1039#538—861no—
1040#537—431no—
1041#535—431no—
1042#535—431no—
1043#535—431no—
1044#535—431no—
1045#535—431no—
1046#535—431no—
1047#535—431no—
1048#535C2×D4311yescharacteristic, complemented
1049#532—431no—
1050#532—431no—
1051#532—431no—
1052#532—431no—
1053#532—431no—
1054#532—861no—
1055C2×#127—431no—
1056C2×#127—431no—
1057C2×#127—431no—
1058#529—431no—
1059#529—431no—
1060#529—861no—
1061#525—861no—
1062#525—861no—
1063C4×#41—431no—
1064C4×#41—431no—
1065C2×C4×D4—431no—
1066#496—431no—
1067#496—431no—
1068#496—431no—
1069#496—431no—
1070#496—431no—
1071#496—431no—
1072#496—431no—
1073#496C2×D4311yescharacteristic, complemented
1074#495—431no—
1075#495—431no—
1076#495—431no—
1077#495C2×D4311yescharacteristic, complemented
1078#493—431no—
1079#493—431no—
1080#493—431no—
1081#493—431no—
1082#490—431no—
1083#490—431no—
1084#490—431no—
1085#490—431no—
1086#489—431no—
1087#489—431no—
1088#489—431no—
1089#489C2×D4311yescharacteristic, complemented
1090#488—431no—
1091#488—431no—
1092#488—431no—
1093#488—431no—
1094#486—431no—
1095#486—431no—
1096#486—431no—
1097#486C2×D4311yescharacteristic, complemented
1098#464—431no—
1099#464C2×D4311yescharacteristic, complemented
1100#463—431no—
1101#463—431no—
1102#463—431no—
1103#463—431no—
1104#463—431no—
1105#463C2×D4311yescharacteristic, complemented
1106#462—431no—
1107#461—431no—
1108#461—431no—
1109#461—431no—
1110#460—431no—
1111#460—431no—
1112#460—431no—
1113#460—431no—
1114#460C2×D4311yescharacteristic, complemented
1115#459—431no—
1116#459—431no—
1117#459—431no—
1118#459—431no—
1119#459—431no—
1120#459—431no—
1121#459—431no—
1122#459—431no—
1123#459—431no—
1124#459—431no—
1125#459—431no—
1126#459—431no—
1127#459—431no—
1128#459—431no—
1129#459C2×D4311yescharacteristic, complemented
1130#452—431no—
1131#452—431no—
1132#452—431no—
1133#452C2×D4311yescharacteristic, complemented
1134#450—431no—
1135#450—431no—
1136#450—431no—
1137#450C2×D4311yescharacteristic, complemented
1138#449—431no—
1139#449—431no—
1140#449—431no—
1141#449—431no—
1142#449—431no—
1143#449—431no—
1144#449—431no—
1145#449—431no—
1146#449—431no—
1147#449—431no—
1148#449—431no—
1149#449C2×D4311yescharacteristic, complemented
1150#447—431no—
1151#447—431no—
1152#447—431no—
1153#447—431no—
1154#447—431no—
1155#447—431no—
1156#447—431no—
1157#447—431no—
1158#447—431no—
1159#447—431no—
1160#447—431no—
1161#447C2×D4311yescharacteristic, complemented
1162#433—431no—
1163#433—431no—
1164#433—431no—
1165#433C2×D4311yescharacteristic, complemented
1166#432—431no—
1167#432—431no—
1168#431—431no—
1169#431—431no—
1170#423—431no—
1171C2×C4⋊C8—431no—
1172#418—431no—
1173#418—431no—
1174#417—431no—
1175#417—431no—
1176#416—431no—
1177#416—431no—
1178C2×#102—431no—
1179C2×#102—431no—
1180#408—431no—
1181#408—431no—
1182#405—431no—
1183#405—431no—
1184C43#6083211yescharacteristic, complemented, Sylow
1185H(5,𝔽2)—1722no—
1186H(5,𝔽2)—1722no—
1187H(5,𝔽2)—1722no—
1188H(5,𝔽2)—1722no—
1189C2×#41—431no—
1190C2×#41—431no—
1191C2×#41—431no—
1192C2×#41—431no—
1193C2×#41—431no—
1194C2×#41—431no—
1195C2×#41—431no—
1196C2×#41—861no—
1197C2×#41—861no—
1198C2×#41—861no—
1199C2×#41—861no—
1200C2×#41C22×D4311yescharacteristic
1201C22×D4—431no—
1202C22×D4—431no—
1203C22×D4—431no—
1204C22×D4—431no—
1205C22×D4—431no—
1206C22×D4—431no—
1207C22×D4—861no—
1208C22×D4—861no—
1209C22×D4—861no—
1210C22×D4—861no—
1211C22×D4—861no—
1212C22×D4—861no—
1213C22×D4—861no—
1214C22×D4—861no—
1215C22×D4—861no—
1216C22×D4—861no—
1217C22×D4—861no—
1218C22×D4—861no—
1219C22×D4C22×D4311yescharacteristic
1220C23×C4—861no—
1221AGL(1,ℤ/8)—1722no—
1222AGL(1,ℤ/8)—1722no—
1223AGL(1,ℤ/8)—1722no—
1224AGL(1,ℤ/8)—1722no—
1225#135—1722no—
1226#135—1722no—
1227C2×Q16—431no—
1228C2×Q16C22×D4311yescharacteristic
1229C2×SD16—431no—
1230C2×SD16—431no—
1231C2×SD16—431no—
1232C2×SD16—431no—
1233C2×SD16—431no—
1234C2×SD16—431no—
1235C2×SD16—431no—
1236C2×SD16—431no—
1237C2×SD16C22×D4311yescharacteristic
1238C2×SD16C22×D4311yescharacteristic
1239C2×SD16C22×D4311yescharacteristic
1240C2×SD16C22×D4311yescharacteristic
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×D8—431no—
1250C2×D8—431no—
1251C2×D8—431no—
1252C2×D8—431no—
1253C2×D8—431no—
1254C2×D8—431no—
1255C2×D8—431no—
1256C2×D8—1722no—
1257C2×D8—1722no—
1258C2×D8C22×D4311yescharacteristic
1259C2×D8C22×D4311yescharacteristic
1260C2×D8C22×D4311yescharacteristic
1261C2×M16—431no—
1262C2×M16—431no—
1263C22×C8—431no—
1264C22×C8—431no—
1265C4⋊Q8—431no—
1266C4⋊Q8—431no—
1267C4⋊Q8—861no—
1268C4⋊Q8C22×D4311yescharacteristic
1269#127—431no—
1270#127—431no—
1271#127—431no—
1272#127—431no—
1273#127—431no—
1274#127—431no—
1275#127—431no—
1276#127—431no—
1277#127—431no—
1278#127—861no—
1279#127—861no—
1280#127—861no—
1281#127—861no—
1282#127—861no—
1283#127—861no—
1284#127—861no—
1285#127C22×D4311yescharacteristic
1286#127C22×D4311yescharacteristic
1287#126—21no—
1288#126—861no—
1289#126—861no—
1290#126—861no—
1291#125—431no—
1292#125—431no—
1293#125—861no—
1294#124—21no—
1295#124—431no—
1296#124—431no—
1297#124—431no—
1298#124—431no—
1299#124—431no—
1300#124—861no—
1301#124—861no—
1302#124—861no—
1303#124—861no—
1304#124C22×D4311yescharacteristic
1305#124C22×D4311yescharacteristic
1306#124C22×D4311yescharacteristic
1307#123—21no—
1308#123—861no—
1309#123—861no—
1310#123—861no—
1311#123—861no—
1312#123—861no—
1313#123—861no—
1314#123—861no—
1315C22⋊Q8—21no—
1316C22⋊Q8—431no—
1317C22⋊Q8—861no—
1318C22⋊Q8—861no—
1319C22⋊Q8—861no—
1320C22⋊Q8—861no—
1321C22⋊Q8C22×D4311yescharacteristic
1322#121—21no—
1323#121—21no—
1324#121—431no—
1325#121—431no—
1326#121—431no—
1327#121—431no—
1328#121—431no—
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#121—861no—
1348#121—861no—
1349#121—861no—
1350#121—861no—
1351#121—861no—
1352#121—861no—
1353#121—861no—
1354#121—861no—
1355#121—861no—
1356#121C22×D4311yescharacteristic
1357#120—21no—
1358#120—21no—
1359#120—861no—
1360#120—861no—
1361#120—861no—
1362#120—861no—
1363#120—861no—
1364#120—861no—
1365#120—861no—
1366#120—861no—
1367#120—861no—
1368#120—861no—
1369#120—861no—
1370#120—861no—
1371#120—861no—
1372#120—861no—
1373C4×Q8—431no—
1374C4×Q8—431no—
1375C4×Q8—431no—
1376C4×Q8C22×D4311yescharacteristic
1377C4×D4—431no—
1378C4×D4—431no—
1379C4×D4—431no—
1380C4×D4—431no—
1381C4×D4—431no—
1382C4×D4—431no—
1383C4×D4—431no—
1384C4×D4—431no—
1385C4×D4—431no—
1386C4×D4—431no—
1387C4×D4—431no—
1388C4×D4—861no—
1389C4×D4—861no—
1390C4×D4—861no—
1391C4×D4—861no—
1392C4×D4—861no—
1393C4×D4—861no—
1394C4×D4—861no—
1395C4×D4—861no—
1396C4×D4—861no—
1397C4×D4—861no—
1398C4×D4—861no—
1399C4×D4—861no—
1400C4×D4—861no—
1401C4×D4—861no—
1402C4×D4C22×D4311yescharacteristic
1403#117—431no—
1404#117—431no—
1405#117—431no—
1406#117—861no—
1407#117—861no—
1408#117—861no—
1409#117C22×D4311yescharacteristic
1410C2×C4⋊C4—431no—
1411C2×C22⋊C4—861no—
1412C2×C42—431no—
1413C2×C42—431no—
1414C2×C42—431no—
1415C2×C42—861no—
1416C4⋊C8—431no—
1417C4⋊C8—431no—
1418C4⋊C8—431no—
1419C4⋊C8—431no—
1420C4⋊C8—431no—
1421C4⋊C8—431no—
1422C4⋊C8C22×D4311yescharacteristic
1423C4⋊C8C22×D4311yescharacteristic
1424#103—431no—
1425#103—431no—
1426#103—431no—
1427#103—431no—
1428#103—431no—
1429#103—431no—
1430#103C22×D4311yescharacteristic
1431#103C22×D4311yescharacteristic
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#102—431no—
1442#102—431no—
1443#102—431no—
1444#102—431no—
1445#102—431no—
1446#102—431no—
1447#102—431no—
1448#102—431no—
1449#102—431no—
1450#102C22×D4311yescharacteristic
1451#102C22×D4311yescharacteristic
1452#102C22×D4311yescharacteristic
1453#102C22×D4311yescharacteristic
1454#102C22×D4311yescharacteristic
1455#102C22×D4311yescharacteristic
1456C22⋊C8—431no—
1457C22⋊C8—431no—
1458C22⋊C8—431no—
1459C22⋊C8—431no—
1460C22⋊C8—431no—
1461C22⋊C8—431no—
1462C22⋊C8C22×D4311yescharacteristic
1463C22⋊C8C22×D4311yescharacteristic
1464#97—431no—
1465#97—431no—
1466#97—431no—
1467#97C22×D4311yescharacteristic
1468C4×C8—431no—
1469C4×C8—431no—
1470C4×C8—431no—
1471C4×C8C22×D4311yescharacteristic
1472C24—21no—
1473C24—861no—
1474C24—861no—
1475C24—861no—
1476C24—861no—
1477C24—861no—
1478C24—861no—
1479#41—41no—
1480#41—41no—
1481#41—862no—
1482#41—862no—
1483#41—862no—
1484#41—862no—
1485#41—862no—
1486#41—862no—
1487#41—862no—
1488#41—862no—
1489#41—3442no—
1490#41—3442no—
1491#41—1721no—
1492#41—1721no—
1493#41—1724no—
1494#41—1721no—
1495#41—1721no—
1496#41—1721no—
1497#41—1721no—
1498#41—1724no—
1499C2×Q8—21no—
1500C2×Q8—431no—
1501C2×Q8—431no—
1502C2×Q8—861no—
1503C2×Q8C23×D4311yescharacteristic
1504C2×Q8C23×D4311yescharacteristic
1505C2×D4—21no—
1506C2×D4—21no—
1507C2×D4—21no—
1508C2×D4—21no—
1509C2×D4—21no—
1510C2×D4—21no—
1511C2×D4—21no—
1512C2×D4—41no—
1513C2×D4—41no—
1514C2×D4—431no—
1515C2×D4—431no—
1516C2×D4—431no—
1517C2×D4—431no—
1518C2×D4—431no—
1519C2×D4—431no—
1520C2×D4—431no—
1521C2×D4—431no—
1522C2×D4—861no—
1523C2×D4—861no—
1524C2×D4—861no—
1525C2×D4—861no—
1526C2×D4—861no—
1527C2×D4—862no—
1528C2×D4—862no—
1529C2×D4—862no—
1530C2×D4—862no—
1531C2×D4—862no—
1532C2×D4—862no—
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—861no—
1553C2×D4—861no—
1554C2×D4—861no—
1555C2×D4—861no—
1556C2×D4—861no—
1557C2×D4—861no—
1558C2×D4—861no—
1559C2×D4—861no—
1560C2×D4—861no—
1561C2×D4—861no—
1562C2×D4—861no—
1563C2×D4—3442no—
1564C2×D4—3442no—
1565C2×D4—3442no—
1566C2×D4—3442no—
1567C2×D4—3442no—
1568C2×D4—3442no—
1569C2×D4—1721no—
1570C2×D4—1721no—
1571C2×D4—1724no—
1572C2×D4—1721no—
1573C2×D4—1721no—
1574C2×D4—1721no—
1575C2×D4—1721no—
1576C2×D4—1724no—
1577C2×D4—1724no—
1578C2×D4—1724no—
1579C2×D4—1724no—
1580C2×D4—1724no—
1581C2×D4C23×D4311yescharacteristic
1582C2×D4C23×D4311yescharacteristic
1583C2×D4C23×D4311yescharacteristic
1584C2×D4C23×D4311yescharacteristic
1585C22×C4—21no—
1586C22×C4—21no—
1587C22×C4—431no—
1588C22×C4—431no—
1589C22×C4—431no—
1590C22×C4—431no—
1591C22×C4—431no—
1592C22×C4—431no—
1593C22×C4—431no—
1594C22×C4—431no—
1595C22×C4—861no—
1596C22×C4—861no—
1597C22×C4—861no—
1598C22×C4—861no—
1599C22×C4—861no—
1600C22×C4—861no—
1601C22×C4—861no—
1602C22×C4—861no—
1603C22×C4—861no—
1604C22×C4—861no—
1605C22×C4—861no—
1606C22×C4—861no—
1607C22×C4—3442no—
1608C22×C4C23×D4311yescharacteristic
1609Q16—41no—
1610Q16—1721no—
1611SD16—41no—
1612SD16—41no—
1613SD16—41no—
1614SD16—41no—
1615SD16—1721no—
1616SD16—1721no—
1617SD16—1721no—
1618SD16—1721no—
1619SD16—1721no—
1620SD16—1721no—
1621SD16—1721no—
1622SD16—1721no—
1623D8—41no—
1624D8—41no—
1625D8—41no—
1626D8—1721no—
1627D8—1721no—
1628D8—1721no—
1629D8—1721no—
1630D8—1721no—
1631D8—1721no—
1632D8—1721no—
1633D8—1721no—
1634D8—1721no—
1635D8—1721no—
1636D8—1721no—
1637D8—1721no—
1638D8—1721no—
1639D8—1721no—
1640D8—1721no—
1641M16—862no—
1642M16—862no—
1643C2×C8—431no—
1644C2×C8—431no—
1645C2×C8—431no—
1646C2×C8—431no—
1647C2×C8—862no—
1648C2×C8—862no—
1649C2×C8C23×D4311yescharacteristic
1650C2×C8C23×D4311yescharacteristic
1651C2×C8C23×D4311yescharacteristic
1652C2×C8C23×D4311yescharacteristic
1653C4⋊C4—21no—
1654C4⋊C4—21no—
1655C4⋊C4—21no—
1656C4⋊C4—431no—
1657C4⋊C4—431no—
1658C4⋊C4—431no—
1659C4⋊C4—431no—
1660C4⋊C4—431no—
1661C4⋊C4—431no—
1662C4⋊C4—861no—
1663C4⋊C4—861no—
1664C4⋊C4—861no—
1665C4⋊C4—861no—
1666C4⋊C4—861no—
1667C4⋊C4—861no—
1668C4⋊C4—861no—
1669C4⋊C4—861no—
1670C4⋊C4—861no—
1671C4⋊C4—861no—
1672C4⋊C4D4×D4311yescharacteristic
1673C4⋊C4D4×D4311yescharacteristic
1674C4⋊C4C23×D4311yescharacteristic
1675C4⋊C4C23×D4311yescharacteristic
1676C22⋊C4—21no—
1677C22⋊C4—21no—
1678C22⋊C4—21no—
1679C22⋊C4—21no—
1680C22⋊C4—21no—
1681C22⋊C4—21no—
1682C22⋊C4—21no—
1683C22⋊C4—21no—
1684C22⋊C4—21no—
1685C22⋊C4—431no—
1686C22⋊C4—431no—
1687C22⋊C4—431no—
1688C22⋊C4—431no—
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⋊C4—861no—
1702C22⋊C4—861no—
1703C22⋊C4—861no—
1704C22⋊C4—861no—
1705C22⋊C4—861no—
1706C22⋊C4—861no—
1707C22⋊C4—861no—
1708C22⋊C4—861no—
1709C22⋊C4—861no—
1710C22⋊C4—861no—
1711C22⋊C4D4×D4311yescharacteristic
1712C22⋊C4D4×D4311yescharacteristic
1713C42—21no—
1714C42—431no—
1715C42—431no—
1716C42—431no—
1717C42—431no—
1718C42—431no—
1719C42—431no—
1720C42—431no—
1721C42—431no—
1722C42—861no—
1723C42—861no—
1724C42C23×D4311yescharacteristic
1725C42C23×D4311yescharacteristic
1726C23—21no—
1727C23—21no—
1728C23—21no—
1729C23—21no—
1730C23—42no—
1731C23—81no—
1732C23—81no—
1733C23—431no—
1734C23—431no—
1735C23—861no—
1736C23—861no—
1737C23—861no—
1738C23—861no—
1739C23—861no—
1740C23—3441no—
1741C23—3441no—
1742C23—3441no—
1743C23—3441no—
1744C23—3441no—
1745C23—3441no—
1746C23—3441no—
1747C23—3441no—
1748C23—3441no—
1749C23—3441no—
1750C23—3441no—
1751C23—3441no—
1752C23—1722no—
1753C23—1722no—
1754C23—1722no—
1755C23—1722no—
1756C23—1722no—
1757C23—1722no—
1758C23C2×D4×D4311yescharacteristic
1759Q8—21no—
1760Q8—21no—
1761Q8—21no—
1762Q8—21no—
1763Q8—81no—
1764Q8—862no—
1765Q8—861no—
1766Q8—861no—
1767Q8—3441no—
1768D4—21no—
1769D4—21no—
1770D4—21no—
1771D4—21no—
1772D4—21no—
1773D4—21no—
1774D4—21no—
1775D4—21no—
1776D4—42no—
1777D4—42no—
1778D4—81no—
1779D4—81no—
1780D4—81no—
1781D4—81no—
1782D4—81no—
1783D4—862no—
1784D4—862no—
1785D4—862no—
1786D4—861no—
1787D4—861no—
1788D4—861no—
1789D4—861no—
1790D4—861no—
1791D4—861no—
1792D4—861no—
1793D4—861no—
1794D4—861no—
1795D4—861no—
1796D4—3441no—
1797D4—3441no—
1798D4—3441no—
1799D4—3441no—
1800D4—3441no—
1801D4—3441no—
1802D4—3441no—
1803D4—3441no—
1804D4—3441no—
1805D4—3441no—
1806D4—3441no—
1807D4—3441no—
1808D4—3441no—
1809D4—3441no—
1810D4—3441no—
1811D4—3441no—
1812D4—3441no—
1813D4—1722no—
1814D4—1722no—
1815D4—1722no—
1816D4—1722no—
1817D4—1722no—
1818D4—1722no—
1819D4—1722no—
1820D4—1722no—
1821D4—1722no—
1822D4—1722no—
1823D4—1722no—
1824D4—1722no—
1825D4—1722no—
1826D4—1722no—
1827D4—1722no—
1828D4—1722no—
1829D4—1722no—
1830D4—1722no—
1831C2×C4—21no—
1832C2×C4—21no—
1833C2×C4—21no—
1834C2×C4—21no—
1835C2×C4—21no—
1836C2×C4—21no—
1837C2×C4—42no—
1838C2×C4—81no—
1839C2×C4—431no—
1840C2×C4—431no—
1841C2×C4—432no—
1842C2×C4—432no—
1843C2×C4—431no—
1844C2×C4—431no—
1845C2×C4—431no—
1846C2×C4—431no—
1847C2×C4—862no—
1848C2×C4—862no—
1849C2×C4—862no—
1850C2×C4—861no—
1851C2×C4—861no—
1852C2×C4—861no—
1853C2×C4—861no—
1854C2×C4—861no—
1855C2×C4—3441no—
1856C2×C4—3441no—
1857C2×C4—3441no—
1858C2×C4—1721no—
1859C2×C4—1721no—
1860C2×C4—1722no—
1861C2×C4—1722no—
1862C2×C4—1722no—
1863C2×C4—1722no—
1864C2×C4—1722no—
1865C2×C4—1722no—
1866C2×C4—1722no—
1867C2×C4—1722no—
1868C2×C4—1721no—
1869C2×C4—1722no—
1870C2×C4C2×D4×D4311yescharacteristic
1871C2×C4C2×D4×D4311yescharacteristic
1872C2×C4C2×D4×D4311yescharacteristic
1873C2×C4C2×D4×D4311yescharacteristic
1874C2×C4C2×D4×D4311yescharacteristic
1875C2×C4C24×D4311yescharacteristic
1876C8—21no—
1877C8—21no—
1878C8—21no—
1879C8—21no—
1880C8—861no—
1881C8—861no—
1882C8—861no—
1883C8—861no—
1884C22—21no—
1885C22—21no—
1886C22—21no—
1887C22—41no—
1888C22—41no—
1889C22—41no—
1890C22—41no—
1891C22—41no—
1892C22—41no—
1893C22—41no—
1894C22—41no—
1895C22—41no—
1896C22—41no—
1897C22—41no—
1898C22—41no—
1899C22—162no—
1900C22—432no—
1901C22—861no—
1902C22—861no—
1903C22—861no—
1904C22—861no—
1905C22—861no—
1906C22—3444no—
1907C22—1721no—
1908C22—1721no—
1909C22—1721no—
1910C22—1721no—
1911C22—1721no—
1912C22—1721no—
1913C22—1721no—
1914C22—1721no—
1915C22—1721no—
1916C22—1721no—
1917C22—1721no—
1918C22—1721no—
1919C22—1721no—
1920C22—1721no—
1921C22—1721no—
1922C22—6882no—
1923C22—6882no—
1924C22—6882no—
1925C22—6882no—
1926C22—6882no—
1927C22C22×D4×D4311yescharacteristic
1928C4—21no—
1929C4—21no—
1930C4—21no—
1931C4—21no—
1932C4—21no—
1933C4—41no—
1934C4—41no—
1935C4—41no—
1936C4—41no—
1937C4—432no—
1938C4—432no—
1939C4—861no—
1940C4—861no—
1941C4—861no—
1942C4—861no—
1943C4—1721no—
1944C4—1721no—
1945C4—1721no—
1946C4H(5,𝔽2)×D4311yescharacteristic
1947C4H(5,𝔽2)×D4311yescharacteristic
1948C2—41no—
1949C2—81no—
1950C2—81no—
1951C2—81no—
1952C2—81no—
1953C2—862no—
1954C2—3441no—
1955C2—3441no—
1956C2—3441no—
1957C2—3441no—
1958C2—3441no—
1959C2—1721no—
1960C2#535×D4311yescharacteristic
1961C2#576×D4311yescharacteristic
1962C2#1914937311yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3224C2
socleC22×C43C23×D4
hypercenter#3224D43
hypocenterC43#60832
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. #19148370C2semidirect
2. #19148015C2semidirect
3. #19145696C2semidirect
4. #19145694C2semidirect
5. #19145683C2semidirect
6. #19145647C2semidirect
7. #19145645C2semidirect
8. #19145644C2semidirect
9. #19145642C2semidirect
10. #19145616C2semidirect
11. #19145609C2semidirect
12. #19145591C2semidirect
13. #19145587C2semidirect
14. #19145574C2semidirect
15. #19145566C2semidirect
16. #19145514C2semidirect
17. #19145511C2semidirect
18. #19145079C2semidirect
19. #19145077C2semidirect
20. #19144946C2semidirect
21. #19144944C2semidirect
22. #19144072C2semidirect
23. #19144057C2semidirect
24. #19144049C2semidirect
25. #459×D43C2semidirect
26. #19143903C2semidirect
27. #19143900C2semidirect
28. #19143860C2semidirect
29. #19143858C2semidirect
30. #19143258C2semidirect
31. C43×#3224C2semidirect
34. C2×#13063352C22semidirect
35. C2×#13063352C22semidirect
36. C2×#13063352C22semidirect
37. C2×#13063349C22semidirect
38. C2×#13063348C22semidirect
39. C2×#13063346C22semidirect
40. C2×D8×D43C22semidirect
41. C2×D8×D43C22semidirect
50. #14583526C22semidirect
51. #14583521C22semidirect
53. #14583504C22semidirect
55. #14583500C22semidirect
59. #14583468C22semidirect
61. #14583467C22semidirect
62. #14583467C22semidirect
65. #14583462C22semidirect
66. #14583450C22semidirect
69. #14583448C22semidirect
70. #14583445C22semidirect
71. #14583444C22semidirect
72. C2×#13063321C22semidirect
74. #127×D43C22semidirect
75. #14583435C22semidirect
77. #14583428C22semidirect
80. C4×#10621902C22semidirect
82. C4×D4×D43C22semidirect
83. #14583289C22semidirect
84. #14583289C22semidirect
85. #14583288C22semidirect
86. #14583287C22semidirect
87. #14583285C22semidirect
88. #14583285C22semidirect
89. #14583285C22semidirect
90. #14583284C22semidirect
91. #14583281C22semidirect
92. #14583280C22semidirect
93. #14583276C22semidirect
94. #14583275C22semidirect
95. #14583274C22semidirect
96. #14583274C22semidirect
97. #14583264C22semidirect
98. #14583263C22semidirect
99. #14583262C22semidirect
100. #14583262C22semidirect
101. #14583261C22semidirect
102. #14583260C22semidirect
103. #14583257C22semidirect
104. #14583255C22semidirect
105. #14583254C22semidirect
106. #14583253C22semidirect
107. #14583252C22semidirect
108. #14583247C22semidirect
109. #14583244C22semidirect
110. #14583244C22semidirect
111. #14583121C22semidirect
112. #14583115C22semidirect
113. #14583115C22semidirect
114. #14583114C22semidirect
115. #14583111C22semidirect
116. #14583111C22semidirect
117. #14583107C22semidirect
118. #14583103C22semidirect
119. #14583103C22semidirect
120. #14583102C22semidirect
121. #14583099C22semidirect
122. #14583097C22semidirect
123. #14583097C22semidirect
124. #14583097C22semidirect
125. #14583095C22semidirect
126. #14583095C22semidirect
127. #14583094C22semidirect
128. #14583093C22semidirect
129. #14583093C22semidirect
130. #14583093C22semidirect
131. #14583093C22semidirect
132. #14583093C22semidirect
133. #14583093C22semidirect
134. #14583092C22semidirect
135. #14583092C22semidirect
136. #14583092C22semidirect
137. #14583091C22semidirect
138. #14583091C22semidirect
139. #14583060C22semidirect
140. #14583059C22semidirect
141. #14583058C22semidirect
142. #14583049C22semidirect
143. #14583048C22semidirect
144. #14583048C22semidirect
145. #14583047C22semidirect
146. #14583047C22semidirect
147. #14583046C22semidirect
148. #14583046C22semidirect
149. #14583045C22semidirect
150. #14583045C22semidirect
151. #14583044C22semidirect
152. #14583044C22semidirect
153. #14583043C22semidirect
154. #14583042C22semidirect
155. #14583041C22semidirect
156. #14583035C22semidirect
157. #14583035C22semidirect
158. #14583034C22semidirect
159. #14583034C22semidirect
160. #14583034C22semidirect
161. #14583034C22semidirect
162. #14583033C22semidirect
163. #14583033C22semidirect
164. #14583032C22semidirect
165. #14583031C22semidirect
166. #14583031C22semidirect
167. #14582960C22semidirect
168. #14582959C22semidirect
169. #14582959C22semidirect
170. #14582954C22semidirect
171. #14582953C22semidirect
172. #14582950C22semidirect
173. #14582949C22semidirect
174. #14582921C22semidirect
175. C4⋊C8×D43C22semidirect
176. #14582902C22semidirect
177. #14582902C22semidirect
178. #14582899C22semidirect
179. #14582897C22semidirect
180. #14582894C22semidirect
181. #14582892C22semidirect
182. #102×D43C22semidirect
183. #102×D43C22semidirect
186. #14582856C22semidirect
187. #14582853C22semidirect
188. C43×#542C22semidirect
189. C43×#535C22semidirect
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
972. #3224D43semidirect
1034. #542C2×D43semidirect
1048. #535C2×D43semidirect
1073. #496C2×D43semidirect
1077. #495C2×D43semidirect
1089. #489C2×D43semidirect
1097. #486C2×D43semidirect
1099. #464C2×D43semidirect
1105. #463C2×D43semidirect
1114. #460C2×D43semidirect
1129. #459C2×D43semidirect
1133. #452C2×D43semidirect
1137. #450C2×D43semidirect
1149. #449C2×D43semidirect
1161. #447C2×D43semidirect
1165. #433C2×D43semidirect
1184. C43#60832semidirect

Maximal subgroups

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

subgroupindex
#191483702
#191480152
#191456962
#191456942
#191456832
#191456472
#191456452
#191456442
#191456422
#191456162
#191456092
#191455912
#191455872
#191455742
#191455662
#191455142
#191455112
#191450792
#191450772
#191449462
#191449442
#191440722
#191440572
#191440492
#459×D432
#191439032
#191439002
#191438602
#191438582
#191432582
C43×#32242
#6083243