Finite Group Databasebeta

← #25968539

Subgroups — #25968539

Order 11008.

2104 conjugacy classes of subgroups.

The subgroup lattice has 1898 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19148385C211yesmaximal, characteristic, complemented
2#19148009C211yesmaximal, characteristic, complemented
3#19145705C211yesmaximal, characteristic, complemented
4#19145702C211yesmaximal, characteristic, complemented
5#19145690C211yesmaximal, characteristic, complemented
6#19145685C211yesmaximal, characteristic, complemented
7#19145652C211yesmaximal, characteristic, complemented
8#19145651C211yesmaximal, characteristic, complemented
9#19145641C211yesmaximal, characteristic, complemented
10#19145640C211yesmaximal, characteristic, complemented
11#19145634C211yesmaximal, characteristic, complemented
12#19145631C211yesmaximal, characteristic, complemented
13#19145580C211yesmaximal, characteristic, complemented
14#19145560C211yesmaximal, characteristic, complemented
15#19145558C211yesmaximal, characteristic, complemented
16#19145527C211yesmaximal, characteristic, complemented
17#19145524C211yesmaximal, characteristic, complemented
18#19145079C211yesmaximal, characteristic, complemented
19#19145068C211yesmaximal, characteristic, complemented
20#19144957C211yesmaximal, characteristic, complemented
21#19144946C211yesmaximal, characteristic, complemented
22#19144084C211yesmaximal, characteristic, complemented
23#19144057C211yesmaximal, characteristic, complemented
24#19144047C211yesmaximal, characteristic, complemented
25#463×D43C211yesmaximal, characteristic, complemented
26#19143905C211yesmaximal, characteristic, complemented
27#19143894C211yesmaximal, characteristic, complemented
28#19143876C211yesmaximal, characteristic, complemented
29#19143858C211yesmaximal, characteristic, complemented
30#19143262C211yesmaximal, characteristic, complemented
31C43×#3213C211yesmaximal, characteristic, complemented
32C2×#13063373C2211yescharacteristic
33C2×#13063370C2211yescharacteristic
34C2×#13063354C2211yescharacteristic, complemented
35C2×#13063352C2211yescharacteristic, complemented
36C2×#13063349C2211yescharacteristic
37C2×#13063349C2211yescharacteristic
38C2×#13063346C2211yescharacteristic, complemented
39C2×#13063344C2211yescharacteristic
40C2×SD16×D43C2211yescharacteristic, complemented
41C2×D8×D43C2211yescharacteristic
42#14583557—21no—
43#14583557—21no—
44#14583542—21no—
45#14583542—21no—
46#14583539—21no—
47#14583539—21no—
48#14583539—21no—
49#14583539—21no—
50#14583526C2211yescharacteristic, complemented
51#14583523C2211yescharacteristic, complemented
52#14583516C2211yescharacteristic, complemented
53#14583513—21no—
54#14583503C2211yescharacteristic, complemented
55#14583502C2211yescharacteristic, complemented
56#14583499—21no—
57#14583483—21no—
58#14583481—21no—
59#14583478C2211yescharacteristic
60#14583473C2211yescharacteristic, complemented
61#14583469C2211yescharacteristic
62#14583469C2211yescharacteristic, complemented
63#14583467C2211yescharacteristic
64#14583467C2211yescharacteristic, complemented
65#14583466C2211yescharacteristic, complemented
66#14583465C2211yescharacteristic
67#14583462C2211yescharacteristic, complemented
68#14583449C2211yescharacteristic, complemented
69#14583448C2211yescharacteristic
70#14583448C2211yescharacteristic, complemented
71#14583446C2211yescharacteristic, complemented
72#14583445—21no—
73#14583433C2211yescharacteristic, complemented
74#14583431C2211yescharacteristic, complemented
75#14583429—21no—
76#124×D43C2211yescharacteristic
77#124×D43C2211yescharacteristic, complemented
78#14583408—21no—
79#14583406—21no—
80C4×#10621898C2211yescharacteristic
81C4×#10621900C2211yescharacteristic, complemented
82C4×D4×D43C2211yescharacteristic, complemented
83#14583293C2211yescharacteristic, complemented
84#14583290C2211yescharacteristic, complemented
85#14583288C2211yescharacteristic, complemented
86#14583287C2211yescharacteristic, complemented
87#14583287C2211yescharacteristic, complemented
88#14583285C2211yescharacteristic, complemented
89#14583282C2211yescharacteristic, complemented
90#14583281C2211yescharacteristic, complemented
91#14583281C2211yescharacteristic, complemented
92#14583280C2211yescharacteristic, complemented
93#14583275C2211yescharacteristic, complemented
94#14583274C2211yescharacteristic, complemented
95#14583271C2211yescharacteristic, complemented
96#14583270C2211yescharacteristic, complemented
97#14583268C2211yescharacteristic, complemented
98#14583266C2211yescharacteristic, complemented
99#14583264C2211yescharacteristic, complemented
100#14583262C2211yescharacteristic, complemented
101#14583260C2211yescharacteristic, complemented
102#14583257C2211yescharacteristic, complemented
103#14583255C2211yescharacteristic, complemented
104#14583253C2211yescharacteristic, complemented
105#14583253C2211yescharacteristic, complemented
106#14583252C2211yescharacteristic, complemented
107#14583251C2211yescharacteristic, complemented
108#14583248C2211yescharacteristic, complemented
109#14583247C2211yescharacteristic, complemented
110#14583244C2211yescharacteristic, complemented
111#14583124C2211yescharacteristic, complemented
112#14583122C2211yescharacteristic, complemented
113#14583122C2211yescharacteristic, complemented
114#14583120C2211yescharacteristic, complemented
115#14583118C2211yescharacteristic, complemented
116#14583118C2211yescharacteristic, complemented
117#14583117C2211yescharacteristic, complemented
118#14583116C2211yescharacteristic, complemented
119#14583116C2211yescharacteristic, complemented
120#14583115C2211yescharacteristic, complemented
121#14583115C2211yescharacteristic, complemented
122#14583114C2211yescharacteristic, complemented
123#14583114C2211yescharacteristic, complemented
124#14583114C2211yescharacteristic, complemented
125#14583114C2211yescharacteristic, complemented
126#14583113C2211yescharacteristic, complemented
127#14583112C2211yescharacteristic, complemented
128#14583112C2211yescharacteristic, complemented
129#14583111C2211yescharacteristic, complemented
130#14583111C2211yescharacteristic, complemented
131#14583108C2211yescharacteristic, complemented
132#14583103C2211yescharacteristic, complemented
133#14583102C2211yescharacteristic, complemented
134#14583102C2211yescharacteristic, complemented
135#14583098C2211yescharacteristic, complemented
136#14583093C2211yescharacteristic, complemented
137#14583092C2211yescharacteristic, complemented
138#14583092C2211yescharacteristic, complemented
139#14583064C2211yescharacteristic, complemented
140#14583063C2211yescharacteristic, complemented
141#14583063C2211yescharacteristic, complemented
142#14583062C2211yescharacteristic, complemented
143#14583056C2211yescharacteristic, complemented
144#14583055C2211yescharacteristic, complemented
145#14583051C2211yescharacteristic, complemented
146#14583050C2211yescharacteristic, complemented
147#14583047C2211yescharacteristic, complemented
148#14583046C2211yescharacteristic
149#14583046C2211yescharacteristic, complemented
150#14583045C2211yescharacteristic
151#14583043C2211yescharacteristic, complemented
152#14583043C2211yescharacteristic, complemented
153#14583042C2211yescharacteristic
154#14583042C2211yescharacteristic, complemented
155#14583042C2211yescharacteristic, complemented
156#14583042C2211yescharacteristic, complemented
157#14583041C2211yescharacteristic
158#14583041C2211yescharacteristic, complemented
159#14583039C2211yescharacteristic, complemented
160#14583038C2211yescharacteristic, complemented
161#14583036C2211yescharacteristic, complemented
162#14583036C2211yescharacteristic, complemented
163#14583034C2211yescharacteristic
164#14583033C2211yescharacteristic
165#14583031C2211yescharacteristic
166#14583031C2211yescharacteristic, complemented
167#14582961C2211yescharacteristic, complemented
168#14582961C2211yescharacteristic, complemented
169#14582957C2211yescharacteristic, complemented
170#14582957C2211yescharacteristic, complemented
171#14582955C2211yescharacteristic, complemented
172#14582952C2211yescharacteristic, complemented
173#14582951C2211yescharacteristic, complemented
174#14582921C2211yescharacteristic, complemented
175C4⋊C8×D43C2211yescharacteristic, complemented
176#14582906C2211yescharacteristic, complemented
177#14582902C2211yescharacteristic
178#14582899C2211yescharacteristic, complemented
179#14582897C2211yescharacteristic
180#14582894C2211yescharacteristic, complemented
181#14582892C2211yescharacteristic
182#103×D43C2211yescharacteristic, complemented
183#102×D43C2211yescharacteristic
184#14582864C2211yescharacteristic
185#14582864C2211yescharacteristic
186#14582856C2211yescharacteristic, complemented
187#14582856C2211yescharacteristic, complemented
188C43×#532C2211yescharacteristic, complemented
189C2×#124×C43C2211yescharacteristic, complemented
190C43×#496C2211yescharacteristic, complemented
191C43×#496C2211yescharacteristic, complemented
192C43×#489C2211yescharacteristic, complemented
193C43×#489C2211yescharacteristic, complemented
194C43×#463C2211yescharacteristic, complemented
195C43×#463C2211yescharacteristic, complemented
196C43×#463C2211yescharacteristic, complemented
197C43×#463C2211yescharacteristic, complemented
198C43×#448C2211yescharacteristic, complemented
199C43×#448C2211yescharacteristic, complemented
200C43×#447C2211yescharacteristic
201C43×#447C2211yescharacteristic, complemented
202C43×#432C2211yescharacteristic, complemented
203#13063373—42no—
204#13063373—42no—
205#13063370—42no—
206#13063370—42no—
207C2×#10621902—21no—
208C2×#10621902C2311yescharacteristic
209C2×#10621902C2311yescharacteristic
210C2×#10621898—21no—
211C2×#10621898—21no—
212C2×#10621898—21no—
213C2×#10621898C2311yescharacteristic
214C2×#10621898C2311yescharacteristic
215C2×#10621898C2311yescharacteristic
216C2×#10621900—21no—
217C2×#10621900C2311yescharacteristic
218C2×#10621900C2311yescharacteristic
219C2×#10621900C2311yescharacteristic
220C2×Q8×D43—21no—
221C2×Q8×D43C2311yescharacteristic
222C2×Q8×D43C2311yescharacteristic
223C22×C22⋊D43—21no—
224C22×C22⋊D43—21no—
225C2×D4×D43—21no—
226C2×D4×D43C2311yescharacteristic
227C2×D4×D43C2311yescharacteristic
228C2×D4×D43C2311yescharacteristic
229C22×C4×D43—21no—
230#13063354—42no—
231#13063352—42no—
232#13063349—42no—
233#13063349—42no—
234#13063346—42no—
235#13063344—42no—
236C2×Dic172C2311yescharacteristic
237C2×Dic172C2311yescharacteristic
238C2×#10621885C2311yescharacteristic
239C2×#10621885C2311yescharacteristic
240C2×#10621873C2311yescharacteristic
241C2×#10621873C2311yescharacteristic
242C2×#10621873C2311yescharacteristic
243C2×#10621873C2311yescharacteristic
244C2×#10621883C2311yescharacteristic
245C2×#10621883C2311yescharacteristic
246C2×#10621883C2311yescharacteristic
247C2×#10621883C2311yescharacteristic
248C2×#10621883C2311yescharacteristic
249C2×#10621883C2311yescharacteristic
250C2×#10621884C2311yescharacteristic
251C2×#10621884C2311yescharacteristic
252SD16×D43—42no—
253C2×D344C2311yescharacteristic
254C2×D344C2311yescharacteristic
255C2×#10621882C2311yescharacteristic
256C2×#10621882C2311yescharacteristic
257C2×#10621882C2311yescharacteristic
258C2×#10621882C2311yescharacteristic
259C2×#10621882C2311yescharacteristic
260C2×#10621882C2311yescharacteristic
261D8×D43—42no—
262C2×#10621872C2311yescharacteristic
263C2×#10621872C2311yescharacteristic
264C2×C8×D43C2311yescharacteristic
265C2×C8×D43C2311yescharacteristic
266#13063325C2311yescharacteristic
267#13063324C2311yescharacteristic
268#13063323—21no—
269#13063323C2311yescharacteristic
270#13063323C2311yescharacteristic
271#13063322C2311yescharacteristic
272#13063321—21no—
273#13063321C2311yescharacteristic
274#13063321C2311yescharacteristic
275#13063321C2311yescharacteristic
276#13063320—21no—
277#13063319—21no—
278#13063318—21no—
279#13063318—21no—
280#13063317C2311yescharacteristic
281#13063316C2311yescharacteristic
282#13063315—21no—
283#13063314—21no—
284#13063314C2311yescharacteristic
285#13063314C2311yescharacteristic
286#13063313C2311yescharacteristic
287#13063313C2311yescharacteristic
288#13063313C2311yescharacteristic
289#13063312—21no—
290#13063312C2311yescharacteristic
291#13063312C2311yescharacteristic
292#13063312C2311yescharacteristic
293#13063311—21no—
294#13063311—21no—
295#13063311—21no—
296#13063311—21no—
297#13063311—21no—
298#13063311—21no—
299#13063310—21no—
300#13063309—21no—
301#13063308—21no—
302#13063308—21no—
303#13063308—21no—
304#13063307—21no—
305#13063307—21no—
306#13063307—21no—
307#13063307—21no—
308#13063307—21no—
309#13063307—21no—
310#13063306—21no—
311#13063306—21no—
312#13063306—21no—
313#13063305C2311yescharacteristic
314#13063304C2311yescharacteristic
315#13063303—21no—
316#13063302—21no—
317#13063302—21no—
318#13063302—21no—
319#13063302—21no—
320#13063302—21no—
321#13063302—21no—
322#13063301—21no—
323#13063301—21no—
324#13063301—21no—
325#13063301—21no—
326#13063300C2311yescharacteristic
327#13063299—21no—
328#13063299—21no—
329#13063299C2311yescharacteristic
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#13063297—21no—
341#13063297—21no—
342#13063297—21no—
343#13063297—21no—
344#13063297—21no—
345#13063297—21no—
346#13063296—21no—
347#13063296—21no—
348#13063296—21no—
349#13063296—21no—
350#13063296C2311yescharacteristic
351#13063296C2311yescharacteristic
352#13063295—21no—
353#13063295—21no—
354#13063295—21no—
355#13063295—21no—
356#13063295—21no—
357#13063294—21no—
358#13063294—21no—
359#13063293—21no—
360#13063293—21no—
361#13063293—21no—
362C4×Dic86D411yescharacteristic
363C4×Dic86D411yescharacteristic
364C4×Dic86C2311yescharacteristic
365#13063290C2311yescharacteristic
366C4×D172—21no—
367C4×D172—21no—
368C4×D172D411yescharacteristic
369C4×D172D411yescharacteristic
370C4×D172C2311yescharacteristic
371D4×Dic43C2311yescharacteristic
372D4×Dic43C2311yescharacteristic
373#13063287C2311yescharacteristic
374C4×C22⋊D43—21no—
375C4×C22⋊D43—21no—
376C4×C22⋊D43—21no—
377C4×C22⋊D43—21no—
378C4×C22⋊D43—21no—
379C4×C22⋊D43D411yescharacteristic
380C4×C22⋊D43D411yescharacteristic
381C4×C22⋊D43D411yescharacteristic
382C4×C22⋊D43D411yescharacteristic
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#13063284—21no—
390#13063284C2311yescharacteristic
391#13063283C2311yescharacteristic
392#13063282—21no—
393#13063282C2311yescharacteristic
394#13063282C2311yescharacteristic
395#13063281—21no—
396C4⋊C4×D43C2311yescharacteristic
397C22⋊C4×D43—21no—
398C22⋊C4×D43—21no—
399C22⋊C4×D43—21no—
400C22⋊C4×D43—21no—
401C22⋊C4×D43—21no—
402C2×C4×Dic43—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#13063250C2311yescharacteristic
414#13063250C2311yescharacteristic
415#13063249C2311yescharacteristic
416#13063249C2311yescharacteristic
417#13063249C2311yescharacteristic
418#13063249C2311yescharacteristic
419#13063248C2311yescharacteristic
420#13063248C2311yescharacteristic
421#13063248C2311yescharacteristic
422#13063248C2311yescharacteristic
423#13063247C2311yescharacteristic
424#13063247C2311yescharacteristic
425#13063247C2311yescharacteristic
426#13063247C2311yescharacteristic
427#13063246C2311yescharacteristic
428#13063246C2311yescharacteristic
429#13063246C2311yescharacteristic
430#13063246C2311yescharacteristic
431#13063245C2311yescharacteristic
432#13063245C2311yescharacteristic
433#13063245C2311yescharacteristic
434#13063245C2311yescharacteristic
435C22⋊(C43⋊C8)C2311yescharacteristic
436C22⋊(C43⋊C8)C2311yescharacteristic
437(C2×D43)⋊C8C2311yescharacteristic
438(C2×D43)⋊C8C2311yescharacteristic
439(C2×D43)⋊C8C2311yescharacteristic
440(C2×D43)⋊C8C2311yescharacteristic
441#13063235C2311yescharacteristic
442#13063235C2311yescharacteristic
443C4×C43⋊C8C2311yescharacteristic
444C4×C43⋊C8C2311yescharacteristic
445C8×Dic43C2311yescharacteristic
446C8×Dic43C2311yescharacteristic
447C2×#41×C43—21no—
448C22×Q8×C43C2311yescharacteristic
449C22×D4×C43C2311yescharacteristic
450C2×SD16×C43C2311yescharacteristic
451C2×SD16×C43C2311yescharacteristic
452C2×SD16×C43C2311yescharacteristic
453C2×SD16×C43C2311yescharacteristic
454C2×D8×C43C2311yescharacteristic
455C2×D8×C43C2311yescharacteristic
456C2×D8×C43C2311yescharacteristic
457C2×D8×C43C2311yescharacteristic
458C4⋊Q8×C43C2311yescharacteristic
459#127×C43C2311yescharacteristic
460#124×C43—21no—
461#124×C43—21no—
462#124×C43—21no—
463#124×C43C2311yescharacteristic
464#124×C43C2311yescharacteristic
465#124×C43C2311yescharacteristic
466#124×C43C2311yescharacteristic
467#121×C43—21no—
468#121×C43C2311yescharacteristic
469#121×C43C2311yescharacteristic
470C4×D4×C43—21no—
471C4×D4×C43C2311yescharacteristic
472C4×D4×C43C2311yescharacteristic
473C2×C22⋊C4×C43—21no—
474C2×C22⋊C4×C43—21no—
475C2×C42×C43C2311yescharacteristic
476C4⋊C8×C43C2311yescharacteristic
477C4⋊C8×C43C2311yescharacteristic
478#103×C43C2311yescharacteristic
479#103×C43C2311yescharacteristic
480#103×C43C2311yescharacteristic
481#103×C43C2311yescharacteristic
482#102×C43C2311yescharacteristic
483#102×C43C2311yescharacteristic
484#102×C43C2311yescharacteristic
485#102×C43C2311yescharacteristic
486C22⋊C8×C43C2311yescharacteristic
487C22⋊C8×C43C2311yescharacteristic
488#97×C43C2311yescharacteristic
489#97×C43C2311yescharacteristic
490C24×C43—21no—
491C23×D43—21no—
492C23×D43—21no—
493C23×D43—21no—
494#41×C43—82no—
495C2×Q8×C43—21no—
496C2×Q8×C43—21no—
497C2×Q8×C43—41no—
498C2×Q8×C43—41no—
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—41no—
507C2×D4×C43—41no—
508C2×D4×C43C2411yescharacteristic
509C2×D4×C43C2411yescharacteristic
510C2×D4×C43C2411yescharacteristic
511C2×D4×C43C2411yescharacteristic
512C22×C4×C43—21no—
513C22×C4×C43—21no—
514C22×C4×C43—21no—
515C22×C4×C43C2×D411yescharacteristic
516C22×C4×C43C2×D411yescharacteristic
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—44no—
536C2×C22⋊D43—44no—
537C2×C22⋊D43C2×D411yescharacteristic
538C2×C22⋊D43C2×D411yescharacteristic
539C22×Dic43—21no—
540C22×Dic43—21no—
541C22×Dic43—21no—
542C22×Dic43—21no—
543C22×Dic43—21no—
544#10621902—22no—
545#10621902—22no—
546#10621902—41no—
547#10621902—41no—
548#10621902—44no—
549Q8×D43—22no—
550Q8×D43—22no—
551Q8×D43—41no—
552Q8×D43—41no—
553Q8×D43—44no—
554#10621900—22no—
555#10621900—22no—
556#10621900—22no—
557#10621900—22no—
558#10621900—41no—
559#10621900—41no—
560#10621900—44no—
561D4×D43—22no—
562D4×D43—22no—
563D4×D43—22no—
564D4×D43—22no—
565D4×D43—41no—
566D4×D43—41no—
567D4×D43—44no—
568#10621898—22no—
569#10621898—22no—
570#10621898—41no—
571#10621898—41no—
572#10621898—41no—
573#10621898—41no—
574#10621898—44no—
575#10621898—44no—
576#10621898—82no—
577C2×D172—21no—
578C2×D172—21no—
579C2×D172—21no—
580C2×D172—21no—
581C2×D172—21no—
582C2×D172C2×D411yescharacteristic
583C2×D172C2411yescharacteristic
584C2×D172C2411yescharacteristic
585C2×D172C2411yescharacteristic
586C2×C4×D43—21no—
587C2×C4×D43—21no—
588C2×C4×D43—21no—
589C2×C4×D43—21no—
590C2×C4×D43—21no—
591C2×C4×D43—21no—
592C2×C4×D43—21no—
593C2×C4×D43—21no—
594C2×C4×D43—21no—
595C2×C4×D43—82no—
596C2×C4×D43C2×D411yescharacteristic
597C2×C4×D43C2×D411yescharacteristic
598C2×C4×D43C2×D411yescharacteristic
599C2×C4×D43C2×D411yescharacteristic
600C2×C4×D43C2411yescharacteristic
601C2×C4×D43C2411yescharacteristic
602C2×Dic86—21no—
603C2×Dic86—21no—
604C2×Dic86—21no—
605C2×Dic86C2×D411yescharacteristic
606C2×Dic86C2411yescharacteristic
607C2×Dic86C2411yescharacteristic
608C2×Dic86C2411yescharacteristic
609SD16×C43—41no—
610SD16×C43—41no—
611SD16×C43—41no—
612SD16×C43—41no—
613D8×C43—41no—
614D8×C43—41no—
615D8×C43—41no—
616D8×C43—41no—
617C2×C8×C43C2411yescharacteristic
618C2×C8×C43C2411yescharacteristic
619C2×C8×C43C2411yescharacteristic
620C2×C8×C43C2411yescharacteristic
621C4⋊C4×C43—21no—
622C4⋊C4×C43C2411yescharacteristic
623C4⋊C4×C43C2411yescharacteristic
624C22⋊C4×C43—21no—
625C22⋊C4×C43—21no—
626C22⋊C4×C43—21no—
627C22⋊C4×C43—21no—
628C22⋊C4×C43—21no—
629C22⋊C4×C43—21no—
630C22⋊C4×C43—21no—
631C22⋊C4×C43—21no—
632C22⋊C4×C43—21no—
633C22⋊C4×C43—21no—
634C22⋊C4×C43—21no—
635C22⋊C4×C43—21no—
636C42×C43C2×D411yescharacteristic
637C42×C43C2×D411yescharacteristic
638C42×C43C2411yescharacteristic
639C42×C43C2411yescharacteristic
640C22⋊Dic43—21no—
641C22⋊Dic43—21no—
642C22⋊Dic43—21no—
643C22⋊Dic43—21no—
644C22⋊Dic43—21no—
645C22⋊Dic43—21no—
646C22⋊Dic43—21no—
647C22⋊Dic43—21no—
648C22⋊Dic43—21no—
649C22⋊Dic43—21no—
650C22⋊Dic43—21no—
651C22⋊Dic43C2×D411yescharacteristic
652C22⋊Dic43C2×D411yescharacteristic
653#10621885—41no—
654#10621885—41no—
655#10621884—41no—
656#10621884—41no—
657#10621883—41no—
658#10621883—41no—
659#10621883—41no—
660#10621883—41no—
661#10621883—41no—
662#10621883—41no—
663#10621882—41no—
664#10621882—41no—
665#10621882—41no—
666#10621882—41no—
667#10621882—41no—
668#10621882—41no—
669(C2×D43)⋊C4—21no—
670(C2×D43)⋊C4—21no—
671(C2×D43)⋊C4—21no—
672(C2×D43)⋊C4—21no—
673(C2×D43)⋊C4—21no—
674(C2×D43)⋊C4—21no—
675(C2×D43)⋊C4—21no—
676(C2×D43)⋊C4—21no—
677(C2×D43)⋊C4—21no—
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)⋊C4C2×D411yescharacteristic
686(C2×D43)⋊C4C2×D411yescharacteristic
687(C2×D43)⋊C4C2×D411yescharacteristic
688(C2×D43)⋊C4C2×D411yescharacteristic
689C4⋊Dic43—21no—
690C4⋊Dic43—21no—
691C4⋊Dic43—21no—
692C4⋊Dic43—21no—
693C4⋊Dic43C2×D411yescharacteristic
694C4⋊Dic43C2×D411yescharacteristic
695C4⋊Dic43C2411yescharacteristic
696C4⋊Dic43C2411yescharacteristic
697Dic43⋊C4—21no—
698Dic43⋊C4—21no—
699Dic43⋊C4—21no—
700Dic43⋊C4—21no—
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⋊C4C2×D411yescharacteristic
710Dic43⋊C4C2×D411yescharacteristic
711Dic43⋊C4C2×D411yescharacteristic
712Dic43⋊C4C2×D411yescharacteristic
713C4×Dic43—21no—
714C4×Dic43—21no—
715C4×Dic43—21no—
716C4×Dic43C2×D411yescharacteristic
717C4×Dic43C2×D411yescharacteristic
718C4×Dic43C2×D411yescharacteristic
719C4×Dic43C2×D411yescharacteristic
720C4×Dic43C2411yescharacteristic
721C4×Dic43C2411yescharacteristic
722C2×C43⋊C8C2411yescharacteristic
723C2×C43⋊C8C2411yescharacteristic
724C2×C43⋊C8C2411yescharacteristic
725C2×C43⋊C8C2411yescharacteristic
726Dic172—41no—
727Dic172—41no—
728D344—41no—
729D344—41no—
730#10621873—41no—
731#10621873—41no—
732#10621873—41no—
733#10621873—41no—
734#10621872—22no—
735#10621872—22no—
736C8×D43—22no—
737C8×D43—22no—
738C23×C43—21no—
739C23×C43—21no—
740C23×C43—21no—
741C23×C43—21no—
742C23×C43—42no—
743C23×C43—81no—
744C23×C43—81no—
745C23×C43C22×D411yescharacteristic
746C22×D43—21no—
747C22×D43—21no—
748C22×D43—21no—
749C22×D43—42no—
750C22×D43—42no—
751C22×D43—42no—
752C22×D43—81no—
753C22×D43—81no—
754C22×D43—81no—
755C22×D43—81no—
756C22×D43—81no—
757C22×D43—81no—
758C22×D43C22×D411yescharacteristic
759C22×D43C22×D411yescharacteristic
760Q8×C43—21no—
761Q8×C43—21no—
762Q8×C43—21no—
763Q8×C43—21no—
764Q8×C43—42no—
765Q8×C43—81no—
766D4×C43—21no—
767D4×C43—21no—
768D4×C43—21no—
769D4×C43—21no—
770D4×C43—21no—
771D4×C43—21no—
772D4×C43—21no—
773D4×C43—21no—
774D4×C43—42no—
775D4×C43—81no—
776D4×C43—81no—
777D4×C43—81no—
778D4×C43—81no—
779C2×C4×C43—21no—
780C2×C4×C43—21no—
781C2×C4×C43—21no—
782C2×C4×C43—21no—
783C2×C4×C43—21no—
784C2×C4×C43—21no—
785C2×C4×C43—41no—
786C2×C4×C43—41no—
787C2×C4×C43—42no—
788C2×C4×C43—42no—
789C2×C4×C43—42no—
790C2×C4×C43C22×D411yescharacteristic
791C2×C4×C43C22×D411yescharacteristic
792C2×C4×C43C22×D411yescharacteristic
793C2×C4×C43C22×D411yescharacteristic
794C2×C4×C43C22×D411yescharacteristic
795C2×C4×C43C2511yescharacteristic
796C22⋊D43—22no—
797C22⋊D43—22no—
798C22⋊D43—42no—
799C22⋊D43—42no—
800C22⋊D43—42no—
801C22⋊D43—42no—
802C22⋊D43—42no—
803C22⋊D43—42no—
804C22⋊D43—42no—
805C22⋊D43—42no—
806C22⋊D43—81no—
807C22⋊D43—81no—
808C22⋊D43—81no—
809C22⋊D43—81no—
810C22⋊D43—81no—
811C22⋊D43—81no—
812C22⋊D43—81no—
813C22⋊D43—81no—
814C22⋊D43—81no—
815C2×Dic43—21no—
816C2×Dic43—21no—
817C2×Dic43—21no—
818C2×Dic43—21no—
819C2×Dic43—21no—
820C2×Dic43—42no—
821C2×Dic43—42no—
822C2×Dic43—42no—
823C2×Dic43—81no—
824C2×Dic43—81no—
825C2×Dic43C22×D411yescharacteristic
826C2×Dic43C22×D411yescharacteristic
827C2×Dic43C22×D411yescharacteristic
828C2×Dic43C22×D411yescharacteristic
829C2×Dic43C22×D411yescharacteristic
830C2×Dic43C22×D411yescharacteristic
831D172—22no—
832D172—21no—
833D172—21no—
834D172—21no—
835D172—21no—
836D172—21no—
837D172—21no—
838D172—42no—
839D172—42no—
840D172—81no—
841D172—81no—
842D172—81no—
843C4×D43—21no—
844C4×D43—21no—
845C4×D43—41no—
846C4×D43—41no—
847C4×D43—41no—
848C4×D43—41no—
849C4×D43—42no—
850C4×D43—42no—
851C4×D43—42no—
852C4×D43—42no—
853C4×D43—42no—
854C4×D43—42no—
855C4×D43—42no—
856C4×D43—81no—
857C4×D43—81no—
858C4×D43H(5,𝔽2)12yes—
859C4×D43H(5,𝔽2)12yes—
860Dic86—22no—
861Dic86—21no—
862Dic86—21no—
863Dic86—21no—
864Dic86—21no—
865Dic86—21no—
866Dic86—21no—
867Dic86—42no—
868Dic86—42no—
869Dic86—81no—
870C8×C43—21no—
871C8×C43—21no—
872C8×C43—21no—
873C8×C43—21no—
874C43⋊C8—21no—
875C43⋊C8—21no—
876C43⋊C8—21no—
877C43⋊C8—21no—
878#60834—431nomaximal, Sylow
879C22×C43—21no—
880C22×C43—21no—
881C22×C43—21no—
882C22×C43—41no—
883C22×C43—41no—
884C22×C43—41no—
885C22×C43—41no—
886C22×C43—41no—
887C22×C43—41no—
888C22×C43—41no—
889C22×C43—41no—
890C22×C43—41no—
891C22×C43—41no—
892C22×C43—41no—
893C22×C43—41no—
894C22×C43—162no—
895C22×C43C23×D411yescharacteristic
896C2×D43—21no—
897C2×D43—21no—
898C2×D43—21no—
899C2×D43—21no—
900C2×D43—21no—
901C2×D43—41no—
902C2×D43—41no—
903C2×D43—41no—
904C2×D43—41no—
905C2×D43—41no—
906C2×D43—41no—
907C2×D43—41no—
908C2×D43—41no—
909C2×D43—41no—
910C2×D43—84no—
911C2×D43—162no—
912C2×D43—162no—
913C2×D43#53512yes—
914C4×C43—21no—
915C4×C43—21no—
916C4×C43—21no—
917C4×C43—21no—
918C4×C43—21no—
919C4×C43—41no—
920C4×C43—41no—
921C4×C43—41no—
922C4×C43—41no—
923C4×C43C2×H(5,𝔽2)11yescharacteristic
924C4×C43C2×H(5,𝔽2)11yescharacteristic
925Dic43—21no—
926Dic43—21no—
927Dic43—21no—
928Dic43—21no—
929Dic43—21no—
930Dic43—41no—
931Dic43—41no—
932Dic43—41no—
933Dic43—41no—
934Dic43—41no—
935Dic43#53512yes—
936#3500—431no—
937#3460—431no—
938#3225—431no—
939#3225—431no—
940#3224—431no—
941#3224—431no—
942#3221—431no—
943#3221—431no—
944#3220—431no—
945#3220—431no—
946#3219—431no—
947#3219—431no—
948#3213—431no—
949#3213D4311yescharacteristic, complemented
950#3211—431no—
951#3211—431no—
952#3207—431no—
953#3207—431no—
954#3155—431no—
955#3154—431no—
956#3137—431no—
957#3136—431no—
958#3040—431no—
959#3036—431no—
960#3035—431no—
961C2×#463—431no—
962#3013—431no—
963#3012—431no—
964#3010—431no—
965#3008—431no—
966#2925—431no—
967C2×C43—41no—
968C2×C43—81no—
969C2×C43—81no—
970C2×C43—81no—
971C2×C43—81no—
972C2×C43C2×#53511yescharacteristic
973C2×C43#358411yescharacteristic
974C2×C43#358511yescharacteristic
975D43—22no—
976D43—41no—
977D43—81no—
978D43—81no—
979D43—81no—
980C2×2−1+4—431no—
981C2×H(5,𝔽2)—431no—
982C2×#137—431no—
983C2×AGL(1,ℤ/8)—431no—
984C2×AGL(1,ℤ/8)—431no—
985C2×AGL(1,ℤ/8)—431no—
986C2×#135—431no—
987C2×#135—431no—
988C22×SD16—431no—
989C22×D8—431no—
990#548—861no—
991#548—861no—
992#546—861no—
993#546—861no—
994#546—861no—
995#546—861no—
996#546—861no—
997#546—861no—
998#544—431no—
999#542—431no—
1000#542—431no—
1001#542—861no—
1002#540—431no—
1003#540—431no—
1004#540—861no—
1005#538—861no—
1006#538—861no—
1007#537—431no—
1008#536—431no—
1009#536—431no—
1010#536—431no—
1011#535—431no—
1012#535—431no—
1013#535—431no—
1014#535—431no—
1015#535—431no—
1016#532—431no—
1017#532—431no—
1018#532—431no—
1019#532—431no—
1020#532—861no—
1021#532C2×D4311yescharacteristic, complemented
1022#529—431no—
1023#529—431no—
1024#529—861no—
1025C2×#124—431no—
1026C2×#124—431no—
1027C2×#124C2×D4311yescharacteristic, complemented
1028#525—861no—
1029#525—861no—
1030C4×#41—431no—
1031C4×#41—431no—
1032C2×C4×D4—431no—
1033#497—431no—
1034#497—431no—
1035#496—431no—
1036#496—431no—
1037#496—431no—
1038#496—431no—
1039#496C2×D4311yescharacteristic, complemented
1040#496C2×D4311yescharacteristic, complemented
1041#495—431no—
1042#495—431no—
1043#495—431no—
1044#495—431no—
1045#493—431no—
1046#493—431no—
1047#492—431no—
1048#492—431no—
1049#491—431no—
1050#491—431no—
1051#490—431no—
1052#490—431no—
1053#489—431no—
1054#489—431no—
1055#489C2×D4311yescharacteristic, complemented
1056#489C2×D4311yescharacteristic, complemented
1057#488—431no—
1058#488—431no—
1059#488—431no—
1060#488—431no—
1061#487—431no—
1062#487—431no—
1063#486—431no—
1064#486—431no—
1065#464—431no—
1066#464—431no—
1067#464—431no—
1068#464—431no—
1069#464—431no—
1070#464—431no—
1071#463—431no—
1072#463—431no—
1073#463—431no—
1074#463—431no—
1075#463—431no—
1076#463—431no—
1077#463—431no—
1078#463—431no—
1079#463—431no—
1080#463—431no—
1081#463—431no—
1082#463—431no—
1083#463—431no—
1084#463—431no—
1085#463C2×D4311yescharacteristic, complemented
1086#463C2×D4311yescharacteristic, complemented
1087#463C2×D4311yescharacteristic, complemented
1088#463C2×D4311yescharacteristic, complemented
1089#462—431no—
1090#461—431no—
1091#461—431no—
1092#461—431no—
1093#460—431no—
1094#459—431no—
1095#459—431no—
1096#459—431no—
1097#452—431no—
1098#452—431no—
1099#452—431no—
1100#452—431no—
1101#451—431no—
1102#451—431no—
1103#450—431no—
1104#450—431no—
1105#449—431no—
1106#449—431no—
1107#449—431no—
1108#449—431no—
1109#449—431no—
1110#449—431no—
1111#449—431no—
1112#449—431no—
1113#449—431no—
1114#449—431no—
1115#449—431no—
1116#449—431no—
1117#448—431no—
1118#448—431no—
1119#448—431no—
1120#448—431no—
1121#448C2×D4311yescharacteristic, complemented
1122#448C2×D4311yescharacteristic, complemented
1123#447—431no—
1124#447—431no—
1125#447—431no—
1126#447—431no—
1127#447C2×D4311yescharacteristic
1128#447C2×D4311yescharacteristic, complemented
1129#433—431no—
1130#433—431no—
1131#433—431no—
1132#433—431no—
1133#432—431no—
1134#432C2×D4311yescharacteristic, complemented
1135#431—431no—
1136#431—431no—
1137#423—431no—
1138C2×C4⋊C8—431no—
1139#419—431no—
1140#418—431no—
1141#417—431no—
1142#417—431no—
1143#416—431no—
1144#416—431no—
1145C2×#103—431no—
1146C2×#102—431no—
1147#408—431no—
1148#408—431no—
1149#405—431no—
1150#405—431no—
1151C43#6083411yescharacteristic, complemented, Sylow
11522−1+4—1722no—
11532−1+4—1722no—
1154H(5,𝔽2)—1722no—
1155H(5,𝔽2)—1722no—
1156C2×#41—21no—
1157C2×#41—431no—
1158C2×#41—431no—
1159C2×#41—431no—
1160C2×#41—431no—
1161C2×#41—431no—
1162C2×#41—431no—
1163C2×#41—431no—
1164C2×#41—431no—
1165C2×#41—861no—
1166C2×#41—861no—
1167C2×#41—861no—
1168C2×#41—861no—
1169C2×#41—861no—
1170C22×Q8—431no—
1171C22×Q8—431no—
1172C22×Q8—861no—
1173C22×Q8C22×D4311yescharacteristic
1174C22×D4—431no—
1175C22×D4—431no—
1176C22×D4—431no—
1177C22×D4—861no—
1178C22×D4—861no—
1179C22×D4—861no—
1180C22×D4C22×D4311yescharacteristic
1181C23×C4—861no—
1182#137—1722no—
1183AGL(1,ℤ/8)—1722no—
1184AGL(1,ℤ/8)—1722no—
1185AGL(1,ℤ/8)—1722no—
1186#135—1722no—
1187#135—1722no—
1188C2×Q16—431no—
1189C2×Q16—431no—
1190C2×Q16—431no—
1191C2×Q16—431no—
1192C2×SD16—431no—
1193C2×SD16—431no—
1194C2×SD16—431no—
1195C2×SD16—431no—
1196C2×SD16—431no—
1197C2×SD16—431no—
1198C2×SD16—431no—
1199C2×SD16—431no—
1200C2×SD16—431no—
1201C2×SD16—431no—
1202C2×SD16—431no—
1203C2×SD16—431no—
1204C2×SD16—1722no—
1205C2×SD16C22×D4311yescharacteristic
1206C2×SD16C22×D4311yescharacteristic
1207C2×SD16C22×D4311yescharacteristic
1208C2×SD16C22×D4311yescharacteristic
1209C2×D8—431no—
1210C2×D8—431no—
1211C2×D8—431no—
1212C2×D8—431no—
1213C2×D8—431no—
1214C2×D8—431no—
1215C2×D8—431no—
1216C2×D8—431no—
1217C2×D8—1722no—
1218C2×D8C22×D4311yescharacteristic
1219C2×D8C22×D4311yescharacteristic
1220C2×D8C22×D4311yescharacteristic
1221C2×D8C22×D4311yescharacteristic
1222C2×M16—431no—
1223C2×M16—431no—
1224C22×C8—431no—
1225C22×C8—431no—
1226C4⋊Q8—431no—
1227C4⋊Q8—431no—
1228C4⋊Q8—431no—
1229C4⋊Q8—431no—
1230C4⋊Q8—861no—
1231C4⋊Q8C22×D4311yescharacteristic
1232#127—431no—
1233#127—431no—
1234#127—431no—
1235#127—431no—
1236#127—861no—
1237#127C22×D4311yescharacteristic
1238#126—861no—
1239#126—861no—
1240#126—861no—
1241#126—861no—
1242#125—431no—
1243#125—431no—
1244#125—861no—
1245#124—21no—
1246#124—21no—
1247#124—21no—
1248#124—431no—
1249#124—431no—
1250#124—431no—
1251#124—431no—
1252#124—431no—
1253#124—431no—
1254#124—431no—
1255#124—431no—
1256#124—861no—
1257#124—861no—
1258#124—861no—
1259#124—861no—
1260#124—861no—
1261#124—861no—
1262#124—861no—
1263#124—861no—
1264#124C22×D4311yescharacteristic
1265#124C22×D4311yescharacteristic
1266#124C22×D4311yescharacteristic
1267#124C22×D4311yescharacteristic
1268#123—861no—
1269#123—861no—
1270#123—861no—
1271#123—861no—
1272#123—861no—
1273#123—861no—
1274#123—861no—
1275#123—861no—
1276#123—861no—
1277#123—861no—
1278#123—861no—
1279#123—861no—
1280#123—861no—
1281#123—861no—
1282C22⋊Q8—431no—
1283C22⋊Q8—431no—
1284C22⋊Q8—861no—
1285C22⋊Q8—861no—
1286C22⋊Q8—861no—
1287C22⋊Q8—861no—
1288C22⋊Q8—861no—
1289C22⋊Q8—861no—
1290C22⋊Q8—861no—
1291C22⋊Q8—861no—
1292C22⋊Q8—861no—
1293C22⋊Q8—861no—
1294C22⋊Q8—861no—
1295#121—21no—
1296#121—431no—
1297#121—431no—
1298#121—431no—
1299#121—431no—
1300#121—861no—
1301#121—861no—
1302#121—861no—
1303#121—861no—
1304#121—861no—
1305#121—861no—
1306#121—861no—
1307#121—861no—
1308#121—861no—
1309#121—861no—
1310#121—861no—
1311#121—861no—
1312#121—861no—
1313#121—861no—
1314#121—861no—
1315#121—861no—
1316#121—861no—
1317#121—861no—
1318#121—861no—
1319#121—861no—
1320#121—861no—
1321#121—861no—
1322#121C22×D4311yescharacteristic
1323#121C22×D4311yescharacteristic
1324#120—861no—
1325#120—861no—
1326#120—861no—
1327#120—861no—
1328#120—861no—
1329#120—861no—
1330#120—861no—
1331#120—861no—
1332#120—861no—
1333#120—861no—
1334C4×Q8—431no—
1335C4×Q8—431no—
1336C4×Q8—431no—
1337C4×Q8—431no—
1338C4×D4—21no—
1339C4×D4—431no—
1340C4×D4—431no—
1341C4×D4—431no—
1342C4×D4—431no—
1343C4×D4—431no—
1344C4×D4—431no—
1345C4×D4—431no—
1346C4×D4—431no—
1347C4×D4—431no—
1348C4×D4—431no—
1349C4×D4—861no—
1350C4×D4—861no—
1351C4×D4—861no—
1352C4×D4—861no—
1353C4×D4—861no—
1354C4×D4—861no—
1355C4×D4—861no—
1356C4×D4—861no—
1357C4×D4—861no—
1358C4×D4—861no—
1359C4×D4—861no—
1360C4×D4—861no—
1361C4×D4—861no—
1362C4×D4C22×D4311yescharacteristic
1363C4×D4C22×D4311yescharacteristic
1364#117—431no—
1365#117—431no—
1366#117—431no—
1367#117—431no—
1368#117—861no—
1369#117—861no—
1370#117—861no—
1371C2×C4⋊C4—431no—
1372C2×C22⋊C4—21no—
1373C2×C22⋊C4—21no—
1374C2×C22⋊C4—861no—
1375C2×C22⋊C4—861no—
1376C2×C22⋊C4—861no—
1377C2×C22⋊C4—861no—
1378C2×C22⋊C4—861no—
1379C2×C42—431no—
1380C2×C42—431no—
1381C2×C42—861no—
1382C2×C42C22×D4311yescharacteristic
1383C4⋊C8—431no—
1384C4⋊C8—431no—
1385C4⋊C8—431no—
1386C4⋊C8—431no—
1387C4⋊C8—431no—
1388C4⋊C8—431no—
1389C4⋊C8C22×D4311yescharacteristic
1390C4⋊C8C22×D4311yescharacteristic
1391#103—431no—
1392#103—431no—
1393#103—431no—
1394#103—431no—
1395#103—431no—
1396#103—431no—
1397#103—431no—
1398#103—431no—
1399#103—431no—
1400#103—431no—
1401#103—431no—
1402#103—431no—
1403#103C22×D4311yescharacteristic
1404#103C22×D4311yescharacteristic
1405#103C22×D4311yescharacteristic
1406#103C22×D4311yescharacteristic
1407#102—431no—
1408#102—431no—
1409#102—431no—
1410#102—431no—
1411#102—431no—
1412#102—431no—
1413#102—431no—
1414#102—431no—
1415#102—431no—
1416#102—431no—
1417#102—431no—
1418#102—431no—
1419#102C22×D4311yescharacteristic
1420#102C22×D4311yescharacteristic
1421#102C22×D4311yescharacteristic
1422#102C22×D4311yescharacteristic
1423C22⋊C8—431no—
1424C22⋊C8—431no—
1425C22⋊C8—431no—
1426C22⋊C8—431no—
1427C22⋊C8—431no—
1428C22⋊C8—431no—
1429C22⋊C8C22×D4311yescharacteristic
1430C22⋊C8C22×D4311yescharacteristic
1431#97—431no—
1432#97—431no—
1433#97C22×D4311yescharacteristic
1434#97C22×D4311yescharacteristic
1435C4×C8—431no—
1436C4×C8—431no—
1437C4×C8—431no—
1438C4×C8—431no—
1439C24—21no—
1440C24—861no—
1441C24—861no—
1442C24—861no—
1443#41—82no—
1444#41—862no—
1445#41—862no—
1446#41—862no—
1447#41—862no—
1448#41—862no—
1449#41—862no—
1450#41—862no—
1451#41—862no—
1452#41—3442no—
1453#41—1721no—
1454#41—1721no—
1455#41—1721no—
1456#41—1721no—
1457#41—1724no—
1458#41—1724no—
1459#41—1721no—
1460#41—1721no—
1461#41—1721no—
1462#41—1721no—
1463#41—1724no—
1464#41—1724no—
1465C2×Q8—21no—
1466C2×Q8—21no—
1467C2×Q8—41no—
1468C2×Q8—41no—
1469C2×Q8—431no—
1470C2×Q8—431no—
1471C2×Q8—431no—
1472C2×Q8—431no—
1473C2×Q8—861no—
1474C2×Q8—861no—
1475C2×Q8—861no—
1476C2×Q8—862no—
1477C2×Q8—862no—
1478C2×Q8—1721no—
1479C2×Q8—1721no—
1480C2×Q8—1724no—
1481C2×Q8C23×D4311yescharacteristic
1482C2×Q8C23×D4311yescharacteristic
1483C2×D4—21no—
1484C2×D4—21no—
1485C2×D4—21no—
1486C2×D4—21no—
1487C2×D4—21no—
1488C2×D4—41no—
1489C2×D4—41no—
1490C2×D4—431no—
1491C2×D4—431no—
1492C2×D4—431no—
1493C2×D4—431no—
1494C2×D4—431no—
1495C2×D4—431no—
1496C2×D4—861no—
1497C2×D4—861no—
1498C2×D4—861no—
1499C2×D4—862no—
1500C2×D4—862no—
1501C2×D4—862no—
1502C2×D4—862no—
1503C2×D4—861no—
1504C2×D4—861no—
1505C2×D4—861no—
1506C2×D4—861no—
1507C2×D4—861no—
1508C2×D4—861no—
1509C2×D4—861no—
1510C2×D4—861no—
1511C2×D4—861no—
1512C2×D4—861no—
1513C2×D4—861no—
1514C2×D4—861no—
1515C2×D4—861no—
1516C2×D4—861no—
1517C2×D4—861no—
1518C2×D4—861no—
1519C2×D4—861no—
1520C2×D4—861no—
1521C2×D4—861no—
1522C2×D4—1721no—
1523C2×D4—1721no—
1524C2×D4—1724no—
1525C2×D4—1724no—
1526C2×D4—1724no—
1527C2×D4C23×D4311yescharacteristic
1528C2×D4C23×D4311yescharacteristic
1529C2×D4C23×D4311yescharacteristic
1530C2×D4C23×D4311yescharacteristic
1531C22×C4—21no—
1532C22×C4—21no—
1533C22×C4—21no—
1534C22×C4—431no—
1535C22×C4—431no—
1536C22×C4—431no—
1537C22×C4—431no—
1538C22×C4—431no—
1539C22×C4—431no—
1540C22×C4—861no—
1541C22×C4—861no—
1542C22×C4—861no—
1543C22×C4—861no—
1544C22×C4—861no—
1545C22×C4—861no—
1546C22×C4—861no—
1547C22×C4—861no—
1548C22×C4—861no—
1549C22×C4—861no—
1550C22×C4—861no—
1551C22×C4—861no—
1552C22×C4—861no—
1553C22×C4—861no—
1554C22×C4—3442no—
1555C22×C4D4×D4311yescharacteristic
1556C22×C4D4×D4311yescharacteristic
1557C22×C4C23×D4311yescharacteristic
1558Q16—1721no—
1559Q16—1721no—
1560Q16—1721no—
1561Q16—1721no—
1562SD16—41no—
1563SD16—41no—
1564SD16—41no—
1565SD16—41no—
1566SD16—1721no—
1567SD16—1721no—
1568SD16—1721no—
1569SD16—1721no—
1570SD16—1721no—
1571SD16—1721no—
1572SD16—1721no—
1573SD16—1721no—
1574SD16—1721no—
1575SD16—1721no—
1576SD16—1721no—
1577SD16—1721no—
1578D8—41no—
1579D8—41no—
1580D8—41no—
1581D8—41no—
1582D8—1721no—
1583D8—1721no—
1584D8—1721no—
1585D8—1721no—
1586D8—1721no—
1587D8—1721no—
1588D8—1721no—
1589D8—1721no—
1590M16—862no—
1591M16—862no—
1592C2×C8—431no—
1593C2×C8—431no—
1594C2×C8—431no—
1595C2×C8—431no—
1596C2×C8—862no—
1597C2×C8—862no—
1598C2×C8C23×D4311yescharacteristic
1599C2×C8C23×D4311yescharacteristic
1600C2×C8C23×D4311yescharacteristic
1601C2×C8C23×D4311yescharacteristic
1602C4⋊C4—21no—
1603C4⋊C4—431no—
1604C4⋊C4—431no—
1605C4⋊C4—431no—
1606C4⋊C4—431no—
1607C4⋊C4—431no—
1608C4⋊C4—431no—
1609C4⋊C4—431no—
1610C4⋊C4—431no—
1611C4⋊C4—861no—
1612C4⋊C4—861no—
1613C4⋊C4—861no—
1614C4⋊C4—861no—
1615C4⋊C4—861no—
1616C4⋊C4—861no—
1617C4⋊C4—861no—
1618C4⋊C4—861no—
1619C4⋊C4—861no—
1620C4⋊C4—861no—
1621C4⋊C4—861no—
1622C4⋊C4—861no—
1623C4⋊C4—861no—
1624C4⋊C4—861no—
1625C4⋊C4—861no—
1626C4⋊C4—861no—
1627C4⋊C4C23×D4311yescharacteristic
1628C4⋊C4C23×D4311yescharacteristic
1629C22⋊C4—21no—
1630C22⋊C4—21no—
1631C22⋊C4—21no—
1632C22⋊C4—21no—
1633C22⋊C4—21no—
1634C22⋊C4—21no—
1635C22⋊C4—21no—
1636C22⋊C4—21no—
1637C22⋊C4—21no—
1638C22⋊C4—21no—
1639C22⋊C4—21no—
1640C22⋊C4—21no—
1641C22⋊C4—431no—
1642C22⋊C4—431no—
1643C22⋊C4—431no—
1644C22⋊C4—431no—
1645C22⋊C4—431no—
1646C22⋊C4—431no—
1647C22⋊C4—861no—
1648C22⋊C4—861no—
1649C22⋊C4—861no—
1650C22⋊C4—861no—
1651C22⋊C4—861no—
1652C22⋊C4—861no—
1653C22⋊C4—861no—
1654C22⋊C4—861no—
1655C22⋊C4—861no—
1656C22⋊C4—861no—
1657C22⋊C4—861no—
1658C22⋊C4—861no—
1659C22⋊C4—861no—
1660C22⋊C4—861no—
1661C22⋊C4—861no—
1662C22⋊C4—861no—
1663C22⋊C4—861no—
1664C22⋊C4—861no—
1665C22⋊C4—861no—
1666C22⋊C4—861no—
1667C22⋊C4—861no—
1668C22⋊C4—861no—
1669C22⋊C4—861no—
1670C22⋊C4—861no—
1671C22⋊C4—861no—
1672C22⋊C4—861no—
1673C22⋊C4—861no—
1674C42—431no—
1675C42—431no—
1676C42—431no—
1677C42—431no—
1678C42—431no—
1679C42—431no—
1680C42—861no—
1681C42—861no—
1682C42—861no—
1683C42D4×D4311yescharacteristic
1684C42D4×D4311yescharacteristic
1685C42C23×D4311yescharacteristic
1686C42C23×D4311yescharacteristic
1687C23—21no—
1688C23—21no—
1689C23—21no—
1690C23—21no—
1691C23—42no—
1692C23—81no—
1693C23—81no—
1694C23—431no—
1695C23—431no—
1696C23—861no—
1697C23—861no—
1698C23—861no—
1699C23—3441no—
1700C23—3441no—
1701C23—3441no—
1702C23—3441no—
1703C23—3441no—
1704C23—3441no—
1705C23—1722no—
1706C23—1722no—
1707C23—1722no—
1708C23C2×D4×D4311yescharacteristic
1709Q8—21no—
1710Q8—21no—
1711Q8—21no—
1712Q8—21no—
1713Q8—42no—
1714Q8—81no—
1715Q8—862no—
1716Q8—861no—
1717Q8—861no—
1718Q8—861no—
1719Q8—861no—
1720Q8—861no—
1721Q8—861no—
1722Q8—3441no—
1723Q8—1722no—
1724Q8—1722no—
1725D4—21no—
1726D4—21no—
1727D4—21no—
1728D4—21no—
1729D4—21no—
1730D4—21no—
1731D4—21no—
1732D4—21no—
1733D4—42no—
1734D4—81no—
1735D4—81no—
1736D4—81no—
1737D4—81no—
1738D4—862no—
1739D4—862no—
1740D4—862no—
1741D4—861no—
1742D4—861no—
1743D4—861no—
1744D4—861no—
1745D4—861no—
1746D4—861no—
1747D4—3441no—
1748D4—3441no—
1749D4—3441no—
1750D4—3441no—
1751D4—3441no—
1752D4—3441no—
1753D4—3441no—
1754D4—3441no—
1755D4—3441no—
1756D4—3441no—
1757D4—3441no—
1758D4—3441no—
1759D4—1722no—
1760D4—1722no—
1761D4—1722no—
1762D4—1722no—
1763D4—1722no—
1764D4—1722no—
1765D4—1722no—
1766D4—1722no—
1767D4—1722no—
1768D4—1722no—
1769C2×C4—21no—
1770C2×C4—21no—
1771C2×C4—21no—
1772C2×C4—21no—
1773C2×C4—21no—
1774C2×C4—21no—
1775C2×C4—41no—
1776C2×C4—41no—
1777C2×C4—42no—
1778C2×C4—42no—
1779C2×C4—42no—
1780C2×C4—431no—
1781C2×C4—432no—
1782C2×C4—432no—
1783C2×C4—431no—
1784C2×C4—431no—
1785C2×C4—431no—
1786C2×C4—431no—
1787C2×C4—431no—
1788C2×C4—861no—
1789C2×C4—861no—
1790C2×C4—861no—
1791C2×C4—861no—
1792C2×C4—861no—
1793C2×C4—861no—
1794C2×C4—861no—
1795C2×C4—3441no—
1796C2×C4—3441no—
1797C2×C4—3441no—
1798C2×C4—3441no—
1799C2×C4—1721no—
1800C2×C4—1721no—
1801C2×C4—1721no—
1802C2×C4—1721no—
1803C2×C4—1722no—
1804C2×C4—1722no—
1805C2×C4—1722no—
1806C2×C4—1722no—
1807C2×C4—1722no—
1808C2×C4—1722no—
1809C2×C4—1722no—
1810C2×C4—1722no—
1811C2×C4—1722no—
1812C2×C4—1722no—
1813C2×C4C2×D4×D4311yescharacteristic
1814C2×C4C2×D4×D4311yescharacteristic
1815C2×C4C2×D4×D4311yescharacteristic
1816C2×C4C2×D4×D4311yescharacteristic
1817C2×C4C2×D4×D4311yescharacteristic
1818C2×C4C24×D4311yescharacteristic
1819C8—21no—
1820C8—21no—
1821C8—21no—
1822C8—21no—
1823C8—861no—
1824C8—861no—
1825C8—861no—
1826C8—861no—
1827C22—21no—
1828C22—21no—
1829C22—21no—
1830C22—41no—
1831C22—41no—
1832C22—41no—
1833C22—41no—
1834C22—41no—
1835C22—41no—
1836C22—41no—
1837C22—41no—
1838C22—41no—
1839C22—41no—
1840C22—41no—
1841C22—41no—
1842C22—162no—
1843C22—432no—
1844C22—861no—
1845C22—861no—
1846C22—861no—
1847C22—861no—
1848C22—861no—
1849C22—3444no—
1850C22—1721no—
1851C22—1721no—
1852C22—1721no—
1853C22—1721no—
1854C22—1721no—
1855C22—1721no—
1856C22—1721no—
1857C22—1721no—
1858C22—1721no—
1859C22—6882no—
1860C22—6882no—
1861C22C22×D4×D4311yescharacteristic
1862C4—21no—
1863C4—21no—
1864C4—21no—
1865C4—21no—
1866C4—21no—
1867C4—41no—
1868C4—41no—
1869C4—41no—
1870C4—41no—
1871C4—432no—
1872C4—861no—
1873C4—861no—
1874C4—861no—
1875C4—861no—
1876C4—861no—
1877C4—1721no—
1878C4—1721no—
1879C4—1721no—
1880C4—1721no—
1881C4—1721no—
1882C4H(5,𝔽2)×D4311yescharacteristic
1883C4H(5,𝔽2)×D4311yescharacteristic
1884C2—41no—
1885C2—81no—
1886C2—81no—
1887C2—81no—
1888C2—81no—
1889C2—862no—
1890C2—3441no—
1891C2—3441no—
1892C2—3441no—
1893C2—1721no—
1894C2#535×D4311yescharacteristic
1895C2#1914936811yescharacteristic
1896C2#1914937111yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3213C2
socleC22×C43C23×D4
hypercenter#3213D43
hypocenterC43#60834
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C2×C42 ◁ #3213

Complements

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

NH ≅ G/Ntype
1. #19148385C2semidirect
2. #19148009C2semidirect
3. #19145705C2semidirect
4. #19145702C2semidirect
5. #19145690C2semidirect
6. #19145685C2semidirect
7. #19145652C2semidirect
8. #19145651C2semidirect
9. #19145641C2semidirect
10. #19145640C2semidirect
11. #19145634C2semidirect
12. #19145631C2semidirect
13. #19145580C2semidirect
14. #19145560C2semidirect
15. #19145558C2semidirect
16. #19145527C2semidirect
17. #19145524C2semidirect
18. #19145079C2semidirect
19. #19145068C2semidirect
20. #19144957C2semidirect
21. #19144946C2semidirect
22. #19144084C2semidirect
23. #19144057C2semidirect
24. #19144047C2semidirect
25. #463×D43C2semidirect
26. #19143905C2semidirect
27. #19143894C2semidirect
28. #19143876C2semidirect
29. #19143858C2semidirect
30. #19143262C2semidirect
31. C43×#3213C2semidirect
34. C2×#13063354C22semidirect
35. C2×#13063352C22semidirect
38. C2×#13063346C22semidirect
40. C2×SD16×D43C22semidirect
50. #14583526C22semidirect
51. #14583523C22semidirect
52. #14583516C22semidirect
54. #14583503C22semidirect
55. #14583502C22semidirect
60. #14583473C22semidirect
62. #14583469C22semidirect
64. #14583467C22semidirect
65. #14583466C22semidirect
67. #14583462C22semidirect
68. #14583449C22semidirect
70. #14583448C22semidirect
71. #14583446C22semidirect
73. #14583433C22semidirect
74. #14583431C22semidirect
77. #124×D43C22semidirect
81. C4×#10621900C22semidirect
82. C4×D4×D43C22semidirect
83. #14583293C22semidirect
84. #14583290C22semidirect
85. #14583288C22semidirect
86. #14583287C22semidirect
87. #14583287C22semidirect
88. #14583285C22semidirect
89. #14583282C22semidirect
90. #14583281C22semidirect
91. #14583281C22semidirect
92. #14583280C22semidirect
93. #14583275C22semidirect
94. #14583274C22semidirect
95. #14583271C22semidirect
96. #14583270C22semidirect
97. #14583268C22semidirect
98. #14583266C22semidirect
99. #14583264C22semidirect
100. #14583262C22semidirect
101. #14583260C22semidirect
102. #14583257C22semidirect
103. #14583255C22semidirect
104. #14583253C22semidirect
105. #14583253C22semidirect
106. #14583252C22semidirect
107. #14583251C22semidirect
108. #14583248C22semidirect
109. #14583247C22semidirect
110. #14583244C22semidirect
111. #14583124C22semidirect
112. #14583122C22semidirect
113. #14583122C22semidirect
114. #14583120C22semidirect
115. #14583118C22semidirect
116. #14583118C22semidirect
117. #14583117C22semidirect
118. #14583116C22semidirect
119. #14583116C22semidirect
120. #14583115C22semidirect
121. #14583115C22semidirect
122. #14583114C22semidirect
123. #14583114C22semidirect
124. #14583114C22semidirect
125. #14583114C22semidirect
126. #14583113C22semidirect
127. #14583112C22semidirect
128. #14583112C22semidirect
129. #14583111C22semidirect
130. #14583111C22semidirect
131. #14583108C22semidirect
132. #14583103C22semidirect
133. #14583102C22semidirect
134. #14583102C22semidirect
135. #14583098C22semidirect
136. #14583093C22semidirect
137. #14583092C22semidirect
138. #14583092C22semidirect
139. #14583064C22semidirect
140. #14583063C22semidirect
141. #14583063C22semidirect
142. #14583062C22semidirect
143. #14583056C22semidirect
144. #14583055C22semidirect
145. #14583051C22semidirect
146. #14583050C22semidirect
147. #14583047C22semidirect
149. #14583046C22semidirect
151. #14583043C22semidirect
152. #14583043C22semidirect
154. #14583042C22semidirect
155. #14583042C22semidirect
156. #14583042C22semidirect
158. #14583041C22semidirect
159. #14583039C22semidirect
160. #14583038C22semidirect
161. #14583036C22semidirect
162. #14583036C22semidirect
166. #14583031C22semidirect
167. #14582961C22semidirect
168. #14582961C22semidirect
169. #14582957C22semidirect
170. #14582957C22semidirect
171. #14582955C22semidirect
172. #14582952C22semidirect
173. #14582951C22semidirect
174. #14582921C22semidirect
175. C4⋊C8×D43C22semidirect
176. #14582906C22semidirect
178. #14582899C22semidirect
180. #14582894C22semidirect
182. #103×D43C22semidirect
186. #14582856C22semidirect
187. #14582856C22semidirect
188. C43×#532C22semidirect
189. C2×#124×C43C22semidirect
190. C43×#496C22semidirect
191. C43×#496C22semidirect
192. C43×#489C22semidirect
193. C43×#489C22semidirect
194. C43×#463C22semidirect
195. C43×#463C22semidirect
196. C43×#463C22semidirect
197. C43×#463C22semidirect
198. C43×#448C22semidirect
199. C43×#448C22semidirect
201. C43×#447C22semidirect
202. C43×#432C22semidirect
949. #3213D43semidirect
1021. #532C2×D43semidirect
1027. C2×#124C2×D43semidirect
1039. #496C2×D43semidirect
1040. #496C2×D43semidirect
1055. #489C2×D43semidirect
1056. #489C2×D43semidirect
1085. #463C2×D43semidirect
1086. #463C2×D43semidirect
1087. #463C2×D43semidirect
1088. #463C2×D43semidirect
1121. #448C2×D43semidirect
1122. #448C2×D43semidirect
1128. #447C2×D43semidirect
1134. #432C2×D43semidirect
1151. C43#60834semidirect

Maximal subgroups

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

subgroupindex
#191483852
#191480092
#191457052
#191457022
#191456902
#191456852
#191456522
#191456512
#191456412
#191456402
#191456342
#191456312
#191455802
#191455602
#191455582
#191455272
#191455242
#191450792
#191450682
#191449572
#191449462
#191440842
#191440572
#191440472
#463×D432
#191439052
#191438942
#191438762
#191438582
#191432622
C43×#32132
#6083443