Finite Group Databasebeta

← #25968554

Subgroups — #25968554

Order 11008.

2040 conjugacy classes of subgroups.

The subgroup lattice has 1850 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19148387C211yesmaximal, characteristic, complemented
2#19148021C211yesmaximal, characteristic, complemented
3#19145701C211yesmaximal, characteristic, complemented
4#19145698C211yesmaximal, characteristic, complemented
5#19145686C211yesmaximal, characteristic, complemented
6#19145680C211yesmaximal, characteristic, complemented
7#19145675C211yesmaximal, characteristic, complemented
8#19145667C211yesmaximal, characteristic, complemented
9#19145666C211yesmaximal, characteristic, complemented
10#19145630C211yesmaximal, characteristic, complemented
11#19145627C211yesmaximal, characteristic, complemented
12#19145599C211yesmaximal, characteristic, complemented
13#19145595C211yesmaximal, characteristic, complemented
14#19145557C211yesmaximal, characteristic, complemented
15#19145555C211yesmaximal, characteristic, complemented
16#19145552C211yesmaximal, characteristic, complemented
17#19145549C211yesmaximal, characteristic, complemented
18#19145085C211yesmaximal, characteristic, complemented
19#19145068C211yesmaximal, characteristic, complemented
20#19144957C211yesmaximal, characteristic, complemented
21#19144944C211yesmaximal, characteristic, complemented
22#19144084C211yesmaximal, characteristic, complemented
23#19144062C211yesmaximal, characteristic, complemented
24#19144043C211yesmaximal, characteristic, complemented
25#464×D43C211yesmaximal, characteristic, complemented
26#19143908C211yesmaximal, characteristic, complemented
27#19143894C211yesmaximal, characteristic, complemented
28#19143887C211yesmaximal, characteristic, complemented
29#19143867C211yesmaximal, characteristic, complemented
30#19143258C211yesmaximal, characteristic, complemented
31C43×#3224C211yesmaximal, characteristic, complemented
32C2×#13063372C2211yescharacteristic
33C2×#13063370C2211yescharacteristic
34C2×#13063354C2211yescharacteristic
35C2×#13063354C2211yescharacteristic, complemented
36C2×#13063354C2211yescharacteristic, complemented
37C2×#13063349C2211yescharacteristic
38C2×#13063344C2211yescharacteristic
39C2×#13063344C2211yescharacteristic, complemented
40C2×Q16×D43C2211yescharacteristic, complemented
41C2×SD16×D43C2211yescharacteristic
42#14583555—21no—
43#14583555—21no—
44#14583546—21no—
45#14583546—21no—
46#14583536—21no—
47#14583536—21no—
48#14583536—21no—
49#14583536—21no—
50#14583526C2211yescharacteristic, complemented
51#14583514C2211yescharacteristic, complemented
52#14583513—21no—
53#14583511C2211yescharacteristic, complemented
54#14583507C2211yescharacteristic, complemented
55#14583506—21no—
56#14583495—21no—
57#14583492—21no—
58#14583478C2211yescharacteristic
59#14583475C2211yescharacteristic
60#14583472C2211yescharacteristic
61#14583469C2211yescharacteristic
62#14583469C2211yescharacteristic
63#14583469C2211yescharacteristic, complemented
64#14583462C2211yescharacteristic
65#14583462C2211yescharacteristic
66#14583454C2211yescharacteristic, complemented
67#14583451—21no—
68#14583451C2211yescharacteristic, complemented
69#14583447C2211yescharacteristic
70#14583447C2211yescharacteristic
71#14583445C2211yescharacteristic
72#14583432—21no—
73#14583430C2211yescharacteristic, complemented
74#14583428—21no—
75#14583428C2211yescharacteristic, complemented
76#14583426—21no—
77C2×#13063312C2211yescharacteristic
78#124×D43C2211yescharacteristic
79#124×D43C2211yescharacteristic
80#14583367C2211yescharacteristic
81C4×#10621900C2211yescharacteristic, complemented
82C4×Q8×D43C2211yescharacteristic, complemented
83#14583294C2211yescharacteristic, complemented
84#14583294C2211yescharacteristic, complemented
85#14583293C2211yescharacteristic, complemented
86#14583290C2211yescharacteristic, complemented
87#14583290C2211yescharacteristic, complemented
88#14583290C2211yescharacteristic, complemented
89#14583287C2211yescharacteristic, complemented
90#14583282C2211yescharacteristic, complemented
91#14583282C2211yescharacteristic, complemented
92#14583281C2211yescharacteristic, complemented
93#14583279C2211yescharacteristic, complemented
94#14583277C2211yescharacteristic, complemented
95#14583271C2211yescharacteristic, complemented
96#14583270C2211yescharacteristic, complemented
97#14583268C2211yescharacteristic, complemented
98#14583266C2211yescharacteristic, complemented
99#14583263C2211yescharacteristic, complemented
100#14583262C2211yescharacteristic, complemented
101#14583261C2211yescharacteristic, complemented
102#14583257C2211yescharacteristic, complemented
103#14583257C2211yescharacteristic, complemented
104#14583254C2211yescharacteristic, complemented
105#14583253C2211yescharacteristic, complemented
106#14583252C2211yescharacteristic, complemented
107#14583252C2211yescharacteristic, complemented
108#14583251C2211yescharacteristic, complemented
109#14583248C2211yescharacteristic, complemented
110#14583244C2211yescharacteristic, complemented
111#14583124C2211yescharacteristic, complemented
112#14583124C2211yescharacteristic, complemented
113#14583123C2211yescharacteristic, complemented
114#14583122C2211yescharacteristic, complemented
115#14583122C2211yescharacteristic, complemented
116#14583121C2211yescharacteristic, complemented
117#14583120C2211yescharacteristic, complemented
118#14583120C2211yescharacteristic, complemented
119#14583120C2211yescharacteristic, complemented
120#14583120C2211yescharacteristic, complemented
121#14583120C2211yescharacteristic, complemented
122#14583120C2211yescharacteristic, complemented
123#14583119C2211yescharacteristic, complemented
124#14583119C2211yescharacteristic, complemented
125#14583119C2211yescharacteristic, complemented
126#14583118C2211yescharacteristic, complemented
127#14583118C2211yescharacteristic, complemented
128#14583116C2211yescharacteristic, complemented
129#14583114C2211yescharacteristic, complemented
130#14583112C2211yescharacteristic, complemented
131#14583112C2211yescharacteristic, complemented
132#14583112C2211yescharacteristic, complemented
133#14583110C2211yescharacteristic, complemented
134#14583110C2211yescharacteristic, complemented
135#14583109C2211yescharacteristic, complemented
136#14583104C2211yescharacteristic, complemented
137#14583096C2211yescharacteristic, complemented
138#14583096C2211yescharacteristic, complemented
139#14583063C2211yescharacteristic
140#14583063C2211yescharacteristic
141#14583062C2211yescharacteristic
142#14583062C2211yescharacteristic
143#14583062C2211yescharacteristic, complemented
144#14583062C2211yescharacteristic, complemented
145#14583061C2211yescharacteristic, complemented
146#14583061C2211yescharacteristic, complemented
147#14583059C2211yescharacteristic
148#14583058C2211yescharacteristic
149#14583058C2211yescharacteristic, complemented
150#14583057C2211yescharacteristic, complemented
151#14583057C2211yescharacteristic, complemented
152#14583056C2211yescharacteristic, complemented
153#14583056C2211yescharacteristic, complemented
154#14583054C2211yescharacteristic, complemented
155#14583053C2211yescharacteristic, complemented
156#14583051C2211yescharacteristic
157#14583051C2211yescharacteristic
158#14583050C2211yescharacteristic
159#14583050C2211yescharacteristic
160#14583048C2211yescharacteristic
161#14583042C2211yescharacteristic
162#14583041C2211yescharacteristic
163#14583041C2211yescharacteristic, complemented
164#14583037C2211yescharacteristic, complemented
165#14583036C2211yescharacteristic, complemented
166#14583031C2211yescharacteristic
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#14582906C2211yescharacteristic, complemented
177#14582902C2211yescharacteristic
178#14582897C2211yescharacteristic
179#14582897C2211yescharacteristic, complemented
180#14582892C2211yescharacteristic
181#14582892C2211yescharacteristic, complemented
182#103×D43C2211yescharacteristic, complemented
183#102×D43C2211yescharacteristic
184#14582864C2211yescharacteristic
185#14582864C2211yescharacteristic
186#14582856C2211yescharacteristic, complemented
187#14582853C2211yescharacteristic, complemented
188C43×#542C2211yescharacteristic, complemented
189C43×#535C2211yescharacteristic
190C43×#496C2211yescharacteristic, complemented
191C43×#495C2211yescharacteristic, complemented
192C43×#489C2211yescharacteristic, complemented
193C43×#486C2211yescharacteristic, complemented
194C43×#464C2211yescharacteristic, complemented
195C43×#463C2211yescharacteristic, complemented
196C43×#460C2211yescharacteristic, complemented
197C43×#459C2211yescharacteristic, complemented
198C43×#452C2211yescharacteristic, complemented
199C43×#450C2211yescharacteristic
200C43×#449C2211yescharacteristic, complemented
201C43×#447C2211yescharacteristic
202C43×#433C2211yescharacteristic, complemented
203#13063372—42no—
204#13063372—42no—
205#13063370—42no—
206#13063370—42no—
207C2×#10621898—21no—
208C2×#10621898C2311yescharacteristic
209C2×#10621898C2311yescharacteristic
210C2×#10621900—21no—
211C2×#10621900—21no—
212C2×#10621900—21no—
213C2×#10621900C2311yescharacteristic
214C2×#10621900C2311yescharacteristic
215C2×#10621900C2311yescharacteristic
216C2×#10621900C2311yescharacteristic
217C2×#10621900C2311yescharacteristic
218C22×Dic86—21no—
219C22×Dic86C2311yescharacteristic
220C2×Q8×D43C2311yescharacteristic
221C2×Q8×D43C2311yescharacteristic
222C2×Q8×D43C2311yescharacteristic
223C22×C22⋊D43—21no—
224C22×C22⋊D43—21no—
225C2×D4×D43—21no—
226C2×D4×D43C2311yescharacteristic
227C2×D4×D43C2311yescharacteristic
228#13063354—42no—
229#13063354—42no—
230#13063354—42no—
231#13063349—42no—
232#13063344—42no—
233#13063344—42no—
234C2×Dic172C2311yescharacteristic
235C2×Dic172C2311yescharacteristic
236C2×Dic172C2311yescharacteristic
237C2×Dic172C2311yescharacteristic
238C2×Dic172C2311yescharacteristic
239C2×Dic172C2311yescharacteristic
240C2×#10621885C2311yescharacteristic
241C2×#10621885C2311yescharacteristic
242C2×#10621885C2311yescharacteristic
243C2×#10621885C2311yescharacteristic
244C2×#10621885C2311yescharacteristic
245Q16×D43—42no—
246C2×#10621873C2311yescharacteristic
247C2×#10621873C2311yescharacteristic
248C2×#10621883C2311yescharacteristic
249C2×#10621883C2311yescharacteristic
250C2×#10621883C2311yescharacteristic
251C2×#10621883C2311yescharacteristic
252C2×#10621883C2311yescharacteristic
253C2×#10621883C2311yescharacteristic
254C2×#10621883C2311yescharacteristic
255C2×#10621883C2311yescharacteristic
256C2×#10621883C2311yescharacteristic
257C2×#10621884C2311yescharacteristic
258SD16×D43—42no—
259C2×#10621882C2311yescharacteristic
260C2×#10621872C2311yescharacteristic
261C2×#10621872C2311yescharacteristic
262C2×C8×D43C2311yescharacteristic
263C2×C8×D43C2311yescharacteristic
264#13063325C2311yescharacteristic
265#13063325C2311yescharacteristic
266#13063325C2311yescharacteristic
267#13063324—21no—
268#13063324C2311yescharacteristic
269#13063323—21no—
270#13063323C2311yescharacteristic
271#13063323C2311yescharacteristic
272#13063321C2311yescharacteristic
273#13063320—21no—
274#13063319—21no—
275#13063318—21no—
276#13063318—21no—
277#13063318—21no—
278#13063318—21no—
279#13063318—21no—
280#13063317—21no—
281#13063317C2311yescharacteristic
282#13063316—21no—
283#13063316C2311yescharacteristic
284#13063315—21no—
285#13063315—21no—
286#13063315—21no—
287#13063315—21no—
288#13063315—21no—
289#13063314C2311yescharacteristic
290#13063313C2311yescharacteristic
291#13063313C2311yescharacteristic
292#13063312—21no—
293#13063312—21no—
294#13063312C2311yescharacteristic
295#13063312C2311yescharacteristic
296#13063312C2311yescharacteristic
297#13063312C2311yescharacteristic
298#13063312C2311yescharacteristic
299#13063312C2311yescharacteristic
300#13063311—21no—
301#13063311—21no—
302#13063311—21no—
303#13063311—21no—
304#13063311—21no—
305#13063311—21no—
306#13063310—21no—
307#13063309—21no—
308#13063309—21no—
309#13063308—21no—
310#13063307—21no—
311#13063307—21no—
312#13063307—21no—
313#13063307—21no—
314#13063307—21no—
315#13063307—21no—
316#13063307—21no—
317#13063307—21no—
318#13063306—21no—
319#13063305—21no—
320#13063305—21no—
321#13063305C2311yescharacteristic
322#13063305C2311yescharacteristic
323#13063304—21no—
324#13063304C2311yescharacteristic
325#13063304C2311yescharacteristic
326#13063303—21no—
327#13063302—21no—
328#13063302—21no—
329#13063302—21no—
330#13063302—21no—
331#13063302—21no—
332#13063302—21no—
333#13063302—21no—
334#13063302—21no—
335#13063301—21no—
336#13063301—21no—
337#13063301C2311yescharacteristic
338#13063298—21no—
339#13063297—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#13063296—21no—
351#13063296C2311yescharacteristic
352#13063293—21no—
353#13063293—21no—
354#13063293—21no—
355#13063293—21no—
356Q8×Dic43—21no—
357Q8×Dic43C2311yescharacteristic
358C4×Dic86—21no—
359C4×Dic86C2311yescharacteristic
360C4×Dic86C2311yescharacteristic
361#13063290—21no—
362#13063290—21no—
363#13063290D411yescharacteristic
364#13063290D411yescharacteristic
365#13063290C2311yescharacteristic
366#13063290C2311yescharacteristic
367D4×Dic43—21no—
368D4×Dic43—21no—
369D4×Dic43—21no—
370D4×Dic43—21no—
371D4×Dic43—21no—
372D4×Dic43C2311yescharacteristic
373#13063287D411yescharacteristic
374#13063287D411yescharacteristic
375C4×C22⋊D43—21no—
376C4×C22⋊D43—21no—
377C4×C22⋊D43—21no—
378(C22⋊D43)⋊C4—21no—
379(C22⋊D43)⋊C4—21no—
380(C22⋊D43)⋊C4D411yescharacteristic
381(C22⋊D43)⋊C4D411yescharacteristic
382(C22⋊D43)⋊C4D411yescharacteristic
383(C22⋊D43)⋊C4D411yescharacteristic
384#13063283—21no—
385#13063283C2311yescharacteristic
386#13063282C2311yescharacteristic
387#13063282C2311yescharacteristic
388#13063281—21no—
389#13063281—21no—
390#13063281—21no—
391#13063281—21no—
392C4⋊C4×D43—21no—
393C4⋊C4×D43C2311yescharacteristic
394C2×C22⋊Dic43—21no—
395C2×C22⋊Dic43—21no—
396C22⋊C4×D43—21no—
397C22⋊C4×D43—21no—
398C22⋊C4×D43—21no—
399C22⋊C4×D43—21no—
400C2×C4×Dic43—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#13063250C2311yescharacteristic
414#13063250C2311yescharacteristic
415#13063250C2311yescharacteristic
416#13063250C2311yescharacteristic
417#13063249C2311yescharacteristic
418#13063249C2311yescharacteristic
419#13063248C2311yescharacteristic
420#13063248C2311yescharacteristic
421#13063248C2311yescharacteristic
422#13063248C2311yescharacteristic
423#13063248C2311yescharacteristic
424#13063248C2311yescharacteristic
425#13063247C2311yescharacteristic
426#13063247C2311yescharacteristic
427#13063246C2311yescharacteristic
428#13063246C2311yescharacteristic
429#13063246C2311yescharacteristic
430#13063246C2311yescharacteristic
431#13063246C2311yescharacteristic
432#13063246C2311yescharacteristic
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—
493#41×C43—41no—
494#41×C43—41no—
495C2×Q8×C43—21no—
496C2×Q8×C43C2411yescharacteristic
497C2×Q8×C43C2411yescharacteristic
498C2×D4×C43—21no—
499C2×D4×C43—21no—
500C2×D4×C43—21no—
501C2×D4×C43—21no—
502C2×D4×C43—21no—
503C2×D4×C43—21no—
504C2×D4×C43—21no—
505C2×D4×C43—41no—
506C2×D4×C43—41no—
507C2×D4×C43C2411yescharacteristic
508C2×D4×C43C2411yescharacteristic
509C2×D4×C43C2411yescharacteristic
510C2×D4×C43C2411yescharacteristic
511C22×C4×C43—21no—
512C22×C4×C43—21no—
513C22×C4×C43C2411yescharacteristic
514C2×C22⋊D43—21no—
515C2×C22⋊D43—21no—
516C2×C22⋊D43—21no—
517C2×C22⋊D43—21no—
518C2×C22⋊D43—21no—
519C2×C22⋊D43—21no—
520C2×C22⋊D43—21no—
521C2×C22⋊D43—21no—
522C2×C22⋊D43—21no—
523C2×C22⋊D43—21no—
524C2×C22⋊D43—21no—
525C2×C22⋊D43—44no—
526C2×C22⋊D43—44no—
527C2×C22⋊D43C2×D411yescharacteristic
528C2×C22⋊D43C2×D411yescharacteristic
529C22×Dic43—21no—
530C22×Dic43—21no—
531C22×Dic43—21no—
532C22×Dic43—21no—
533C22×Dic43—21no—
534C22×Dic43—21no—
535C22×Dic43—21no—
536C22×Dic43C2×D411yescharacteristic
537C22×Dic43C2×D411yescharacteristic
538Q8×D43—22no—
539Q8×D43—22no—
540Q8×D43—22no—
541Q8×D43—22no—
542Q8×D43—41no—
543Q8×D43—41no—
544#10621900—22no—
545#10621900—22no—
546#10621900—22no—
547#10621900—22no—
548#10621900—22no—
549#10621900—22no—
550#10621900—41no—
551#10621900—41no—
552#10621900—41no—
553#10621900—41no—
554#10621900—44no—
555#10621900—44no—
556#10621900—44no—
557D4×D43—22no—
558D4×D43—22no—
559D4×D43—41no—
560D4×D43—41no—
561D4×D43—44no—
562#10621898—22no—
563#10621898—22no—
564#10621898—41no—
565#10621898—41no—
566#10621898—44no—
567C2×D172C2×D411yescharacteristic
568C2×D172C2411yescharacteristic
569C2×C4×D43—21no—
570C2×C4×D43—21no—
571C2×C4×D43—21no—
572C2×C4×D43—21no—
573C2×C4×D43—21no—
574C2×C4×D43C2×D411yescharacteristic
575C2×C4×D43C2×D411yescharacteristic
576C2×C4×D43C2×D411yescharacteristic
577C2×C4×D43C2×D411yescharacteristic
578C2×C4×D43C2411yescharacteristic
579C2×C4×D43C2411yescharacteristic
580C2×Dic86—21no—
581C2×Dic86—21no—
582C2×Dic86—21no—
583C2×Dic86—21no—
584C2×Dic86—21no—
585C2×Dic86—41no—
586C2×Dic86—41no—
587C2×Dic86—44no—
588C2×Dic86C2×D411yescharacteristic
589C2×Dic86C2411yescharacteristic
590C2×Dic86C2411yescharacteristic
591C2×Dic86C2411yescharacteristic
592C2×Dic86C2411yescharacteristic
593C2×Dic86C2411yescharacteristic
594Q16×C43—41no—
595SD16×C43—41no—
596SD16×C43—41no—
597SD16×C43—41no—
598SD16×C43—41no—
599D8×C43—41no—
600D8×C43—41no—
601D8×C43—41no—
602C2×C8×C43C2411yescharacteristic
603C2×C8×C43C2411yescharacteristic
604C2×C8×C43C2411yescharacteristic
605C2×C8×C43C2411yescharacteristic
606C4⋊C4×C43—21no—
607C4⋊C4×C43—21no—
608C4⋊C4×C43—21no—
609C4⋊C4×C43C2×D411yescharacteristic
610C4⋊C4×C43C2×D411yescharacteristic
611C4⋊C4×C43C2411yescharacteristic
612C4⋊C4×C43C2411yescharacteristic
613C22⋊C4×C43—21no—
614C22⋊C4×C43—21no—
615C22⋊C4×C43—21no—
616C22⋊C4×C43—21no—
617C22⋊C4×C43—21no—
618C22⋊C4×C43—21no—
619C22⋊C4×C43—21no—
620C22⋊C4×C43—21no—
621C22⋊C4×C43—21no—
622C22⋊C4×C43C2×D411yescharacteristic
623C22⋊C4×C43C2×D411yescharacteristic
624C42×C43—21no—
625C42×C43C2411yescharacteristic
626C42×C43C2411yescharacteristic
627C22⋊Dic43—21no—
628C22⋊Dic43—21no—
629C22⋊Dic43—21no—
630C22⋊Dic43—21no—
631C22⋊Dic43—21no—
632C22⋊Dic43—21no—
633C22⋊Dic43—21no—
634C22⋊Dic43—21no—
635C22⋊Dic43—21no—
636C22⋊Dic43—21no—
637C22⋊Dic43—21no—
638C22⋊Dic43—21no—
639C22⋊Dic43—21no—
640C22⋊Dic43—21no—
641C22⋊Dic43—21no—
642C22⋊Dic43—21no—
643#10621885—41no—
644#10621885—41no—
645#10621885—41no—
646#10621885—41no—
647#10621885—41no—
648#10621884—41no—
649#10621883—41no—
650#10621883—41no—
651#10621883—41no—
652#10621883—41no—
653#10621883—41no—
654#10621883—41no—
655#10621883—41no—
656#10621883—41no—
657#10621883—41no—
658#10621882—41no—
659(C2×D43)⋊C4—21no—
660(C2×D43)⋊C4—21no—
661(C2×D43)⋊C4—21no—
662(C2×D43)⋊C4—21no—
663(C2×D43)⋊C4—21no—
664(C2×D43)⋊C4—21no—
665(C2×D43)⋊C4—21no—
666(C2×D43)⋊C4—21no—
667(C2×D43)⋊C4—21no—
668(C2×D43)⋊C4—21no—
669(C2×D43)⋊C4C2×D411yescharacteristic
670(C2×D43)⋊C4C2×D411yescharacteristic
671(C2×D43)⋊C4C2×D411yescharacteristic
672(C2×D43)⋊C4C2×D411yescharacteristic
673C4⋊Dic43—21no—
674C4⋊Dic43—21no—
675C4⋊Dic43—21no—
676C4⋊Dic43—21no—
677C4⋊Dic43—21no—
678C4⋊Dic43—21no—
679C4⋊Dic43—21no—
680C4⋊Dic43—21no—
681C4⋊Dic43—21no—
682C4⋊Dic43—21no—
683C4⋊Dic43C2411yescharacteristic
684C4⋊Dic43C2411yescharacteristic
685Dic43⋊C4—21no—
686Dic43⋊C4—21no—
687Dic43⋊C4—21no—
688Dic43⋊C4—21no—
689Dic43⋊C4—21no—
690Dic43⋊C4—21no—
691Dic43⋊C4—21no—
692Dic43⋊C4—21no—
693Dic43⋊C4—21no—
694Dic43⋊C4—21no—
695Dic43⋊C4—21no—
696Dic43⋊C4—21no—
697Dic43⋊C4—21no—
698Dic43⋊C4—21no—
699Dic43⋊C4—21no—
700Dic43⋊C4—21no—
701Dic43⋊C4C2×D411yescharacteristic
702Dic43⋊C4C2×D411yescharacteristic
703Dic43⋊C4C2×D411yescharacteristic
704Dic43⋊C4C2×D411yescharacteristic
705C4×Dic43—21no—
706C4×Dic43—21no—
707C4×Dic43—21no—
708C4×Dic43—21no—
709C4×Dic43—21no—
710C4×Dic43—21no—
711C4×Dic43C2×D411yescharacteristic
712C4×Dic43C2×D411yescharacteristic
713C4×Dic43C2×D411yescharacteristic
714C4×Dic43C2×D411yescharacteristic
715C4×Dic43C2×D411yescharacteristic
716C4×Dic43C2×D411yescharacteristic
717C4×Dic43C2411yescharacteristic
718C4×Dic43C2411yescharacteristic
719C2×C43⋊C8C2411yescharacteristic
720C2×C43⋊C8C2411yescharacteristic
721C2×C43⋊C8C2411yescharacteristic
722C2×C43⋊C8C2411yescharacteristic
723Dic172—41no—
724Dic172—41no—
725Dic172—41no—
726Dic172—41no—
727Dic172—41no—
728Dic172—41no—
729#10621873—41no—
730#10621873—41no—
731#10621872—22no—
732#10621872—22no—
733C8×D43—22no—
734C8×D43—22no—
735C23×C43—21no—
736C23×C43—21no—
737C23×C43—21no—
738C23×C43—21no—
739C23×C43—42no—
740C23×C43—81no—
741C23×C43—81no—
742C23×C43C22×D411yescharacteristic
743C22×D43—21no—
744C22×D43—42no—
745C22×D43—42no—
746C22×D43—81no—
747C22×D43—81no—
748C22×D43—81no—
749C22×D43—81no—
750C22×D43C22×D411yescharacteristic
751C22×D43C22×D411yescharacteristic
752Q8×C43—21no—
753Q8×C43—21no—
754Q8×C43—21no—
755Q8×C43—21no—
756Q8×C43—81no—
757D4×C43—21no—
758D4×C43—21no—
759D4×C43—21no—
760D4×C43—21no—
761D4×C43—21no—
762D4×C43—21no—
763D4×C43—21no—
764D4×C43—21no—
765D4×C43—42no—
766D4×C43—42no—
767D4×C43—81no—
768D4×C43—81no—
769D4×C43—81no—
770D4×C43—81no—
771D4×C43—81no—
772C2×C4×C43—21no—
773C2×C4×C43—21no—
774C2×C4×C43—21no—
775C2×C4×C43—21no—
776C2×C4×C43—21no—
777C2×C4×C43—21no—
778C2×C4×C43—42no—
779C2×C4×C43—81no—
780C2×C4×C43C22×D411yescharacteristic
781C2×C4×C43C22×D411yescharacteristic
782C2×C4×C43C22×D411yescharacteristic
783C2×C4×C43C22×D411yescharacteristic
784C2×C4×C43C22×D411yescharacteristic
785C2×C4×C43C2511yescharacteristic
786C22⋊D43—22no—
787C22⋊D43—22no—
788C22⋊D43—42no—
789C22⋊D43—42no—
790C22⋊D43—42no—
791C22⋊D43—42no—
792C22⋊D43—42no—
793C22⋊D43—42no—
794C22⋊D43—42no—
795C22⋊D43—42no—
796C22⋊D43—81no—
797C22⋊D43—81no—
798C22⋊D43—81no—
799C2×Dic43—21no—
800C2×Dic43—21no—
801C2×Dic43—21no—
802C2×Dic43—21no—
803C2×Dic43—21no—
804C2×Dic43—21no—
805C2×Dic43—21no—
806C2×Dic43—41no—
807C2×Dic43—41no—
808C2×Dic43—42no—
809C2×Dic43—42no—
810C2×Dic43—42no—
811C2×Dic43—42no—
812C2×Dic43—42no—
813C2×Dic43—42no—
814C2×Dic43—42no—
815C2×Dic43C22×D411yescharacteristic
816C2×Dic43C22×D411yescharacteristic
817C2×Dic43C22×D411yescharacteristic
818C2×Dic43C22×D411yescharacteristic
819C2×Dic43C22×D411yescharacteristic
820C2×Dic43C22×D411yescharacteristic
821D172—22no—
822D172—21no—
823D172—21no—
824C4×D43—21no—
825C4×D43—21no—
826C4×D43—41no—
827C4×D43—41no—
828C4×D43—41no—
829C4×D43—41no—
830C4×D43—42no—
831C4×D43—42no—
832C4×D43—42no—
833C4×D43—42no—
834C4×D43—81no—
835C4×D43H(5,𝔽2)12yes—
836C4×D43H(5,𝔽2)12yes—
837Dic86—22no—
838Dic86—21no—
839Dic86—21no—
840Dic86—21no—
841Dic86—21no—
842Dic86—21no—
843Dic86—21no—
844Dic86—21no—
845Dic86—21no—
846Dic86—21no—
847Dic86—21no—
848Dic86—42no—
849Dic86—42no—
850Dic86—42no—
851Dic86—42no—
852Dic86—81no—
853C8×C43—21no—
854C8×C43—21no—
855C8×C43—21no—
856C8×C43—21no—
857C43⋊C8—21no—
858C43⋊C8—21no—
859C43⋊C8—21no—
860C43⋊C8—21no—
861#60835—431nomaximal, Sylow
862C22×C43—21no—
863C22×C43—21no—
864C22×C43—21no—
865C22×C43—41no—
866C22×C43—41no—
867C22×C43—41no—
868C22×C43—41no—
869C22×C43—41no—
870C22×C43—41no—
871C22×C43—41no—
872C22×C43—41no—
873C22×C43—41no—
874C22×C43—41no—
875C22×C43—41no—
876C22×C43—41no—
877C22×C43—162no—
878C22×C43C23×D411yescharacteristic
879C2×D43—21no—
880C2×D43—21no—
881C2×D43—21no—
882C2×D43—21no—
883C2×D43—21no—
884C2×D43—41no—
885C2×D43—41no—
886C2×D43—41no—
887C2×D43—162no—
888C2×D43—162no—
889C2×D43#53512yes—
890C4×C43—21no—
891C4×C43—21no—
892C4×C43—21no—
893C4×C43—21no—
894C4×C43—21no—
895C4×C43—41no—
896C4×C43—41no—
897C4×C43—41no—
898C4×C43—41no—
899C4×C43C2×H(5,𝔽2)11yescharacteristic
900C4×C43C2×H(5,𝔽2)11yescharacteristic
901Dic43—21no—
902Dic43—21no—
903Dic43—21no—
904Dic43—21no—
905Dic43—21no—
906Dic43—41no—
907Dic43—41no—
908Dic43—41no—
909Dic43—41no—
910Dic43—41no—
911Dic43—41no—
912Dic43—41no—
913Dic43#53512yes—
914#3500—431no—
915#3461—431no—
916#3225—431no—
917#3225—431no—
918#3224—431no—
919#3224D4311yescharacteristic, complemented
920#3223—431no—
921#3223—431no—
922#3222—431no—
923#3222—431no—
924#3219—431no—
925#3219—431no—
926#3215—431no—
927#3215—431no—
928#3211—431no—
929#3211—431no—
930#3210—431no—
931#3210—431no—
932#3156—431no—
933#3154—431no—
934#3137—431no—
935#3136—431no—
936#3040—431no—
937#3037—431no—
938#3035—431no—
939C2×#464—431no—
940#3013—431no—
941#3012—431no—
942#3011—431no—
943#3009—431no—
944#2925—431no—
945C2×C43—41no—
946C2×C43—81no—
947C2×C43—81no—
948C2×C43—81no—
949C2×C43—81no—
950C2×C43C2×#53511yescharacteristic
951C2×C43#358411yescharacteristic
952C2×C43#358611yescharacteristic
953D43—22no—
954D43—41no—
955D43—81no—
956C2×2−1+4—431no—
957C2×H(5,𝔽2)—431no—
958C2×#137—431no—
959C2×#137—431no—
960C2×#137—431no—
961C2×AGL(1,ℤ/8)—431no—
962C2×#135—431no—
963C2×#135—431no—
964C22×Q16—431no—
965C22×SD16—431no—
966#548—861no—
967#548—861no—
968#546—861no—
969#546—861no—
970#546—861no—
971#546—861no—
972#546—861no—
973#546—861no—
974#544—431no—
975#542—431no—
976#542—861no—
977#542C2×D4311yescharacteristic, complemented
978#541—431no—
979#541—431no—
980#541—861no—
981#539—861no—
982#539—861no—
983#537—431no—
984#536—431no—
985#536—431no—
986#536—431no—
987#536—431no—
988#536—431no—
989#535—431no—
990#535—431no—
991#535C2×D4311yescharacteristic
992#533—431no—
993#533—431no—
994#533—861no—
995#532—431no—
996#532—431no—
997#532—431no—
998#529—431no—
999#529—431no—
1000#529—861no—
1001#529—861no—
1002#529—861no—
1003C2×#124—431no—
1004C2×#124—431no—
1005C2×#124—431no—
1006C4×#41—431no—
1007C4×#41—431no—
1008C2×C4×Q8—431no—
1009#497—431no—
1010#497—431no—
1011#497—431no—
1012#497—431no—
1013#497—431no—
1014#497—431no—
1015#496—431no—
1016#496C2×D4311yescharacteristic, complemented
1017#495—431no—
1018#495—431no—
1019#495—431no—
1020#495C2×D4311yescharacteristic, complemented
1021#494—431no—
1022#494—431no—
1023#492—431no—
1024#492—431no—
1025#491—431no—
1026#491—431no—
1027#490—431no—
1028#490—431no—
1029#489—431no—
1030#489—431no—
1031#489—431no—
1032#489C2×D4311yescharacteristic, complemented
1033#488—431no—
1034#488—431no—
1035#488—431no—
1036#488—431no—
1037#487—431no—
1038#487—431no—
1039#486—431no—
1040#486C2×D4311yescharacteristic, complemented
1041#464—431no—
1042#464—431no—
1043#464—431no—
1044#464—431no—
1045#464—431no—
1046#464—431no—
1047#464—431no—
1048#464—431no—
1049#464—431no—
1050#464—431no—
1051#464—431no—
1052#464—431no—
1053#464—431no—
1054#464—431no—
1055#464—431no—
1056#464—431no—
1057#464—431no—
1058#464C2×D4311yescharacteristic, complemented
1059#463—431no—
1060#463—431no—
1061#463—431no—
1062#463—431no—
1063#463—431no—
1064#463C2×D4311yescharacteristic, complemented
1065#462—431no—
1066#462—431no—
1067#462—431no—
1068#461—431no—
1069#460—431no—
1070#460—431no—
1071#460C2×D4311yescharacteristic, complemented
1072#459C2×D4311yescharacteristic, complemented
1073#452—431no—
1074#452—431no—
1075#452—431no—
1076#452—431no—
1077#452—431no—
1078#452—431no—
1079#452—431no—
1080#452—431no—
1081#452—431no—
1082#452—431no—
1083#452—431no—
1084#452C2×D4311yescharacteristic, complemented
1085#451—431no—
1086#451—431no—
1087#451—431no—
1088#451—431no—
1089#451—431no—
1090#451—431no—
1091#450—431no—
1092#450—431no—
1093#450—431no—
1094#450—431no—
1095#450—431no—
1096#450C2×D4311yescharacteristic
1097#449—431no—
1098#449—431no—
1099#449—431no—
1100#449C2×D4311yescharacteristic, complemented
1101#448—431no—
1102#448—431no—
1103#447—431no—
1104#447C2×D4311yescharacteristic
1105#433—431no—
1106#433—431no—
1107#433—431no—
1108#433C2×D4311yescharacteristic, complemented
1109#432—431no—
1110#432—431no—
1111#431—431no—
1112#431—431no—
1113#423—431no—
1114C2×C4⋊C8—431no—
1115#419—431no—
1116#418—431no—
1117#417—431no—
1118#417—431no—
1119#416—431no—
1120#416—431no—
1121C2×#103—431no—
1122C2×#102—431no—
1123#408—431no—
1124#408—431no—
1125#405—431no—
1126#405—431no—
1127C43#6083511yescharacteristic, complemented, Sylow
11282−1+4—1722no—
11292−1+4—1722no—
1130H(5,𝔽2)—1722no—
1131H(5,𝔽2)—1722no—
1132C2×#41—431no—
1133C2×#41—431no—
1134C2×#41—431no—
1135C2×#41—431no—
1136C2×#41—431no—
1137C2×#41—431no—
1138C2×#41—431no—
1139C2×#41—861no—
1140C2×#41—861no—
1141C2×#41—861no—
1142C2×#41—861no—
1143C2×#41C22×D4311yescharacteristic
1144C22×Q8—431no—
1145C22×Q8—431no—
1146C22×Q8—431no—
1147C22×Q8—431no—
1148C22×Q8—861no—
1149C22×D4—431no—
1150C22×D4—431no—
1151C22×D4—861no—
1152C22×D4—861no—
1153C22×D4—861no—
1154C22×D4C22×D4311yescharacteristic
1155#137—1722no—
1156#137—1722no—
1157#137—1722no—
1158AGL(1,ℤ/8)—1722no—
1159#135—1722no—
1160#135—1722no—
1161C2×Q16—431no—
1162C2×Q16—431no—
1163C2×Q16—431no—
1164C2×Q16—431no—
1165C2×Q16—431no—
1166C2×Q16—431no—
1167C2×Q16—431no—
1168C2×Q16—431no—
1169C2×Q16—431no—
1170C2×Q16—431no—
1171C2×Q16—431no—
1172C2×Q16—1722no—
1173C2×Q16C22×D4311yescharacteristic
1174C2×SD16—431no—
1175C2×SD16—431no—
1176C2×SD16—431no—
1177C2×SD16—431no—
1178C2×SD16—431no—
1179C2×SD16—431no—
1180C2×SD16—431no—
1181C2×SD16—431no—
1182C2×SD16—431no—
1183C2×SD16—431no—
1184C2×SD16—431no—
1185C2×SD16—431no—
1186C2×SD16—1722no—
1187C2×SD16C22×D4311yescharacteristic
1188C2×SD16C22×D4311yescharacteristic
1189C2×SD16C22×D4311yescharacteristic
1190C2×SD16C22×D4311yescharacteristic
1191C2×D8—431no—
1192C2×D8C22×D4311yescharacteristic
1193C2×D8C22×D4311yescharacteristic
1194C2×D8C22×D4311yescharacteristic
1195C2×M16—431no—
1196C2×M16—431no—
1197C22×C8—431no—
1198C22×C8—431no—
1199C4⋊Q8—431no—
1200C4⋊Q8—431no—
1201C4⋊Q8—431no—
1202C4⋊Q8—431no—
1203C4⋊Q8—431no—
1204C4⋊Q8—431no—
1205C4⋊Q8—861no—
1206C4⋊Q8—861no—
1207C4⋊Q8C22×D4311yescharacteristic
1208#127—431no—
1209#127C22×D4311yescharacteristic
1210#127C22×D4311yescharacteristic
1211#126—21no—
1212#126—861no—
1213#126—861no—
1214#126—861no—
1215#126—861no—
1216#126—861no—
1217#126—861no—
1218#126—861no—
1219#125—431no—
1220#125—431no—
1221#125—861no—
1222#125—861no—
1223#125—861no—
1224#125—861no—
1225#125—861no—
1226#125—861no—
1227#125—861no—
1228#124—21no—
1229#124—431no—
1230#124—431no—
1231#124—431no—
1232#124—431no—
1233#124—431no—
1234#124—431no—
1235#124—431no—
1236#124—431no—
1237#124—431no—
1238#124—861no—
1239#124—861no—
1240#124—861no—
1241#124—861no—
1242#124—861no—
1243#124—861no—
1244#124—861no—
1245#124—861no—
1246#124C22×D4311yescharacteristic
1247#124C22×D4311yescharacteristic
1248#124C22×D4311yescharacteristic
1249#123—21no—
1250#123—861no—
1251#123—861no—
1252#123—861no—
1253#123—861no—
1254#123—861no—
1255#123—861no—
1256#123—861no—
1257#123—861no—
1258#123—861no—
1259#123—861no—
1260#123—861no—
1261#123—861no—
1262#123—861no—
1263C22⋊Q8—21no—
1264C22⋊Q8—431no—
1265C22⋊Q8—431no—
1266C22⋊Q8—431no—
1267C22⋊Q8—431no—
1268C22⋊Q8—431no—
1269C22⋊Q8—861no—
1270C22⋊Q8—861no—
1271C22⋊Q8—861no—
1272C22⋊Q8—861no—
1273C22⋊Q8—861no—
1274C22⋊Q8—861no—
1275C22⋊Q8—861no—
1276C22⋊Q8—861no—
1277C22⋊Q8—861no—
1278C22⋊Q8—861no—
1279C22⋊Q8—861no—
1280C22⋊Q8—861no—
1281C22⋊Q8—861no—
1282C22⋊Q8—861no—
1283C22⋊Q8C22×D4311yescharacteristic
1284#121—21no—
1285#121—21no—
1286#121—431no—
1287#121—861no—
1288#121—861no—
1289#121—861no—
1290#121—861no—
1291#121—861no—
1292#121—861no—
1293#121—861no—
1294#121—861no—
1295#121—861no—
1296#121—861no—
1297#121—861no—
1298#121—861no—
1299#121—861no—
1300#121C22×D4311yescharacteristic
1301#120—21no—
1302#120—21no—
1303#120—861no—
1304#120—861no—
1305#120—861no—
1306#120—861no—
1307C4×Q8—431no—
1308C4×Q8—431no—
1309C4×Q8—431no—
1310C4×Q8—431no—
1311C4×Q8—431no—
1312C4×Q8—431no—
1313C4×Q8—431no—
1314C4×Q8—861no—
1315C4×Q8—861no—
1316C4×Q8—861no—
1317C4×Q8—861no—
1318C4×Q8C22×D4311yescharacteristic
1319C4×D4—431no—
1320C4×D4—431no—
1321C4×D4—431no—
1322C4×D4—431no—
1323C4×D4—431no—
1324C4×D4—431no—
1325C4×D4—431no—
1326C4×D4—861no—
1327C4×D4—861no—
1328C4×D4—861no—
1329C4×D4—861no—
1330C4×D4—861no—
1331C4×D4—861no—
1332C4×D4—861no—
1333C4×D4—861no—
1334C4×D4—861no—
1335C4×D4—861no—
1336C4×D4C22×D4311yescharacteristic
1337#117—431no—
1338#117—431no—
1339#117—431no—
1340#117—861no—
1341#117—861no—
1342#117—861no—
1343#117—861no—
1344#117—861no—
1345#117C22×D4311yescharacteristic
1346C2×C4⋊C4—431no—
1347C2×C4⋊C4—861no—
1348C2×C22⋊C4—861no—
1349C2×C22⋊C4—861no—
1350C2×C22⋊C4—861no—
1351C2×C22⋊C4—861no—
1352C2×C22⋊C4—861no—
1353C2×C22⋊C4—861no—
1354C2×C42—431no—
1355C2×C42—431no—
1356C2×C42—431no—
1357C2×C42—861no—
1358C2×C42—861no—
1359C4⋊C8—431no—
1360C4⋊C8—431no—
1361C4⋊C8—431no—
1362C4⋊C8—431no—
1363C4⋊C8—431no—
1364C4⋊C8—431no—
1365C4⋊C8C22×D4311yescharacteristic
1366C4⋊C8C22×D4311yescharacteristic
1367#103—431no—
1368#103—431no—
1369#103—431no—
1370#103—431no—
1371#103—431no—
1372#103—431no—
1373#103—431no—
1374#103—431no—
1375#103—431no—
1376#103—431no—
1377#103—431no—
1378#103—431no—
1379#103—431no—
1380#103—431no—
1381#103C22×D4311yescharacteristic
1382#103C22×D4311yescharacteristic
1383#102—431no—
1384#102—431no—
1385#102—431no—
1386#102—431no—
1387#102—431no—
1388#102—431no—
1389#102—431no—
1390#102—431no—
1391#102—431no—
1392#102—431no—
1393#102C22×D4311yescharacteristic
1394#102C22×D4311yescharacteristic
1395#102C22×D4311yescharacteristic
1396#102C22×D4311yescharacteristic
1397#102C22×D4311yescharacteristic
1398#102C22×D4311yescharacteristic
1399C22⋊C8—431no—
1400C22⋊C8—431no—
1401C22⋊C8—431no—
1402C22⋊C8—431no—
1403C22⋊C8—431no—
1404C22⋊C8—431no—
1405C22⋊C8C22×D4311yescharacteristic
1406C22⋊C8C22×D4311yescharacteristic
1407#97—431no—
1408#97—431no—
1409#97—431no—
1410#97C22×D4311yescharacteristic
1411C4×C8—431no—
1412C4×C8—431no—
1413C4×C8—431no—
1414C4×C8C22×D4311yescharacteristic
1415C24—21no—
1416C24—861no—
1417C24—861no—
1418#41—41no—
1419#41—41no—
1420#41—862no—
1421#41—862no—
1422#41—862no—
1423#41—862no—
1424#41—862no—
1425#41—862no—
1426#41—862no—
1427#41—862no—
1428#41—1721no—
1429#41—1721no—
1430#41—1724no—
1431#41—1721no—
1432#41—1721no—
1433#41—1721no—
1434#41—1721no—
1435#41—1724no—
1436#41—1724no—
1437#41—1724no—
1438C2×Q8—21no—
1439C2×Q8—431no—
1440C2×Q8—431no—
1441C2×Q8—431no—
1442C2×Q8—431no—
1443C2×Q8—431no—
1444C2×Q8—431no—
1445C2×Q8—861no—
1446C2×Q8—861no—
1447C2×Q8—861no—
1448C2×Q8—861no—
1449C2×Q8—862no—
1450C2×Q8—862no—
1451C2×Q8—862no—
1452C2×Q8—862no—
1453C2×Q8—861no—
1454C2×Q8—1721no—
1455C2×Q8—1721no—
1456C2×Q8—1724no—
1457C2×Q8—1721no—
1458C2×Q8—1721no—
1459C2×Q8C23×D4311yescharacteristic
1460C2×Q8C23×D4311yescharacteristic
1461C2×D4—21no—
1462C2×D4—21no—
1463C2×D4—21no—
1464C2×D4—21no—
1465C2×D4—21no—
1466C2×D4—21no—
1467C2×D4—21no—
1468C2×D4—41no—
1469C2×D4—41no—
1470C2×D4—431no—
1471C2×D4—431no—
1472C2×D4—431no—
1473C2×D4—431no—
1474C2×D4—862no—
1475C2×D4—862no—
1476C2×D4—861no—
1477C2×D4—861no—
1478C2×D4—861no—
1479C2×D4—861no—
1480C2×D4—861no—
1481C2×D4—861no—
1482C2×D4—861no—
1483C2×D4—861no—
1484C2×D4—861no—
1485C2×D4—861no—
1486C2×D4—861no—
1487C2×D4—1721no—
1488C2×D4—1721no—
1489C2×D4—1724no—
1490C2×D4—1724no—
1491C2×D4—1724no—
1492C2×D4C23×D4311yescharacteristic
1493C2×D4C23×D4311yescharacteristic
1494C2×D4C23×D4311yescharacteristic
1495C2×D4C23×D4311yescharacteristic
1496C22×C4—21no—
1497C22×C4—21no—
1498C22×C4—431no—
1499C22×C4—431no—
1500C22×C4—431no—
1501C22×C4—431no—
1502C22×C4—431no—
1503C22×C4—431no—
1504C22×C4—431no—
1505C22×C4—431no—
1506C22×C4—861no—
1507C22×C4—861no—
1508C22×C4—861no—
1509C22×C4—861no—
1510C22×C4—861no—
1511C22×C4—861no—
1512C22×C4—861no—
1513C22×C4—861no—
1514C22×C4—861no—
1515C22×C4—861no—
1516C22×C4—861no—
1517C22×C4—861no—
1518C22×C4C23×D4311yescharacteristic
1519Q16—41no—
1520Q16—1721no—
1521Q16—1721no—
1522Q16—1721no—
1523Q16—1721no—
1524Q16—1721no—
1525Q16—1721no—
1526Q16—1721no—
1527Q16—1721no—
1528Q16—1721no—
1529Q16—1721no—
1530Q16—1721no—
1531SD16—41no—
1532SD16—41no—
1533SD16—41no—
1534SD16—41no—
1535SD16—1721no—
1536SD16—1721no—
1537SD16—1721no—
1538SD16—1721no—
1539SD16—1721no—
1540SD16—1721no—
1541SD16—1721no—
1542SD16—1721no—
1543SD16—1721no—
1544SD16—1721no—
1545SD16—1721no—
1546SD16—1721no—
1547D8—41no—
1548D8—41no—
1549D8—41no—
1550D8—1721no—
1551M16—862no—
1552M16—862no—
1553C2×C8—431no—
1554C2×C8—431no—
1555C2×C8—431no—
1556C2×C8—431no—
1557C2×C8—862no—
1558C2×C8—862no—
1559C2×C8C23×D4311yescharacteristic
1560C2×C8C23×D4311yescharacteristic
1561C2×C8C23×D4311yescharacteristic
1562C2×C8C23×D4311yescharacteristic
1563C4⋊C4—21no—
1564C4⋊C4—21no—
1565C4⋊C4—21no—
1566C4⋊C4—431no—
1567C4⋊C4—431no—
1568C4⋊C4—431no—
1569C4⋊C4—431no—
1570C4⋊C4—431no—
1571C4⋊C4—431no—
1572C4⋊C4—861no—
1573C4⋊C4—861no—
1574C4⋊C4—861no—
1575C4⋊C4—861no—
1576C4⋊C4—861no—
1577C4⋊C4—861no—
1578C4⋊C4—861no—
1579C4⋊C4—861no—
1580C4⋊C4—861no—
1581C4⋊C4—861no—
1582C4⋊C4—861no—
1583C4⋊C4—861no—
1584C4⋊C4—861no—
1585C4⋊C4—861no—
1586C4⋊C4—861no—
1587C4⋊C4—861no—
1588C4⋊C4—861no—
1589C4⋊C4—861no—
1590C4⋊C4—861no—
1591C4⋊C4—861no—
1592C4⋊C4—861no—
1593C4⋊C4—861no—
1594C4⋊C4—861no—
1595C4⋊C4—861no—
1596C4⋊C4—861no—
1597C4⋊C4—861no—
1598C4⋊C4D4×D4311yescharacteristic
1599C4⋊C4D4×D4311yescharacteristic
1600C4⋊C4C23×D4311yescharacteristic
1601C4⋊C4C23×D4311yescharacteristic
1602C22⋊C4—21no—
1603C22⋊C4—21no—
1604C22⋊C4—21no—
1605C22⋊C4—21no—
1606C22⋊C4—21no—
1607C22⋊C4—21no—
1608C22⋊C4—21no—
1609C22⋊C4—21no—
1610C22⋊C4—21no—
1611C22⋊C4—431no—
1612C22⋊C4—431no—
1613C22⋊C4—431no—
1614C22⋊C4—431no—
1615C22⋊C4—861no—
1616C22⋊C4—861no—
1617C22⋊C4—861no—
1618C22⋊C4—861no—
1619C22⋊C4—861no—
1620C22⋊C4—861no—
1621C22⋊C4—861no—
1622C22⋊C4—861no—
1623C22⋊C4—861no—
1624C22⋊C4—861no—
1625C22⋊C4—861no—
1626C22⋊C4—861no—
1627C22⋊C4—861no—
1628C22⋊C4—861no—
1629C22⋊C4—861no—
1630C22⋊C4—861no—
1631C22⋊C4—861no—
1632C22⋊C4—861no—
1633C22⋊C4—861no—
1634C22⋊C4—861no—
1635C22⋊C4—861no—
1636C22⋊C4—861no—
1637C22⋊C4—861no—
1638C22⋊C4—861no—
1639C22⋊C4—861no—
1640C22⋊C4—861no—
1641C22⋊C4D4×D4311yescharacteristic
1642C22⋊C4D4×D4311yescharacteristic
1643C42—21no—
1644C42—431no—
1645C42—431no—
1646C42—431no—
1647C42—431no—
1648C42—431no—
1649C42—431no—
1650C42—431no—
1651C42—431no—
1652C42—861no—
1653C42—861no—
1654C42—861no—
1655C42—861no—
1656C42—861no—
1657C42—861no—
1658C42C23×D4311yescharacteristic
1659C42C23×D4311yescharacteristic
1660C23—21no—
1661C23—21no—
1662C23—21no—
1663C23—21no—
1664C23—42no—
1665C23—81no—
1666C23—81no—
1667C23—431no—
1668C23—431no—
1669C23—861no—
1670C23—3441no—
1671C23—3441no—
1672C23—3441no—
1673C23—3441no—
1674C23—1722no—
1675C23—1722no—
1676C23C2×D4×D4311yescharacteristic
1677Q8—21no—
1678Q8—21no—
1679Q8—21no—
1680Q8—21no—
1681Q8—81no—
1682Q8—862no—
1683Q8—861no—
1684Q8—861no—
1685Q8—861no—
1686Q8—861no—
1687Q8—861no—
1688Q8—861no—
1689Q8—861no—
1690Q8—861no—
1691Q8—861no—
1692Q8—861no—
1693Q8—3441no—
1694Q8—1722no—
1695Q8—1722no—
1696Q8—1722no—
1697Q8—1722no—
1698D4—21no—
1699D4—21no—
1700D4—21no—
1701D4—21no—
1702D4—21no—
1703D4—21no—
1704D4—21no—
1705D4—21no—
1706D4—42no—
1707D4—42no—
1708D4—81no—
1709D4—81no—
1710D4—81no—
1711D4—81no—
1712D4—81no—
1713D4—862no—
1714D4—862no—
1715D4—862no—
1716D4—861no—
1717D4—861no—
1718D4—3441no—
1719D4—3441no—
1720D4—3441no—
1721D4—1722no—
1722D4—1722no—
1723D4—1722no—
1724D4—1722no—
1725D4—1722no—
1726D4—1722no—
1727D4—1722no—
1728D4—1722no—
1729C2×C4—21no—
1730C2×C4—21no—
1731C2×C4—21no—
1732C2×C4—21no—
1733C2×C4—21no—
1734C2×C4—21no—
1735C2×C4—42no—
1736C2×C4—81no—
1737C2×C4—431no—
1738C2×C4—432no—
1739C2×C4—432no—
1740C2×C4—431no—
1741C2×C4—431no—
1742C2×C4—431no—
1743C2×C4—431no—
1744C2×C4—431no—
1745C2×C4—861no—
1746C2×C4—861no—
1747C2×C4—861no—
1748C2×C4—861no—
1749C2×C4—861no—
1750C2×C4—861no—
1751C2×C4—861no—
1752C2×C4—861no—
1753C2×C4—861no—
1754C2×C4—3441no—
1755C2×C4—1721no—
1756C2×C4—1721no—
1757C2×C4—1721no—
1758C2×C4—1721no—
1759C2×C4—1722no—
1760C2×C4—1722no—
1761C2×C4—1722no—
1762C2×C4—1722no—
1763C2×C4—1722no—
1764C2×C4—1722no—
1765C2×C4—1722no—
1766C2×C4—1721no—
1767C2×C4—1721no—
1768C2×C4—1722no—
1769C2×C4—1722no—
1770C2×C4—1722no—
1771C2×C4—1722no—
1772C2×C4C2×D4×D4311yescharacteristic
1773C2×C4C2×D4×D4311yescharacteristic
1774C2×C4C2×D4×D4311yescharacteristic
1775C2×C4C2×D4×D4311yescharacteristic
1776C2×C4C2×D4×D4311yescharacteristic
1777C2×C4C24×D4311yescharacteristic
1778C8—21no—
1779C8—21no—
1780C8—21no—
1781C8—21no—
1782C8—861no—
1783C8—861no—
1784C8—861no—
1785C8—861no—
1786C22—21no—
1787C22—21no—
1788C22—21no—
1789C22—41no—
1790C22—41no—
1791C22—41no—
1792C22—41no—
1793C22—41no—
1794C22—41no—
1795C22—41no—
1796C22—41no—
1797C22—41no—
1798C22—41no—
1799C22—41no—
1800C22—41no—
1801C22—162no—
1802C22—432no—
1803C22—861no—
1804C22—861no—
1805C22—861no—
1806C22—861no—
1807C22—861no—
1808C22—1721no—
1809C22—1721no—
1810C22—1721no—
1811C22—6882no—
1812C22—6882no—
1813C22C22×D4×D4311yescharacteristic
1814C4—21no—
1815C4—21no—
1816C4—21no—
1817C4—21no—
1818C4—21no—
1819C4—41no—
1820C4—41no—
1821C4—41no—
1822C4—41no—
1823C4—432no—
1824C4—861no—
1825C4—861no—
1826C4—861no—
1827C4—861no—
1828C4—861no—
1829C4—1721no—
1830C4—1721no—
1831C4—1721no—
1832C4—1721no—
1833C4—1721no—
1834C4—1721no—
1835C4—1721no—
1836C4H(5,𝔽2)×D4311yescharacteristic
1837C4H(5,𝔽2)×D4311yescharacteristic
1838C2—41no—
1839C2—81no—
1840C2—81no—
1841C2—81no—
1842C2—81no—
1843C2—862no—
1844C2—3441no—
1845C2—1721no—
1846C2#535×D4311yescharacteristic
1847C2#1914936311yescharacteristic
1848C2#1914937711yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3224C2
socleC22×C43C23×D4
hypercenter#3224D43
hypocenterC43#60835
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. #19148387C2semidirect
2. #19148021C2semidirect
3. #19145701C2semidirect
4. #19145698C2semidirect
5. #19145686C2semidirect
6. #19145680C2semidirect
7. #19145675C2semidirect
8. #19145667C2semidirect
9. #19145666C2semidirect
10. #19145630C2semidirect
11. #19145627C2semidirect
12. #19145599C2semidirect
13. #19145595C2semidirect
14. #19145557C2semidirect
15. #19145555C2semidirect
16. #19145552C2semidirect
17. #19145549C2semidirect
18. #19145085C2semidirect
19. #19145068C2semidirect
20. #19144957C2semidirect
21. #19144944C2semidirect
22. #19144084C2semidirect
23. #19144062C2semidirect
24. #19144043C2semidirect
25. #464×D43C2semidirect
26. #19143908C2semidirect
27. #19143894C2semidirect
28. #19143887C2semidirect
29. #19143867C2semidirect
30. #19143258C2semidirect
31. C43×#3224C2semidirect
35. C2×#13063354C22semidirect
36. C2×#13063354C22semidirect
39. C2×#13063344C22semidirect
40. C2×Q16×D43C22semidirect
50. #14583526C22semidirect
51. #14583514C22semidirect
53. #14583511C22semidirect
54. #14583507C22semidirect
63. #14583469C22semidirect
66. #14583454C22semidirect
68. #14583451C22semidirect
73. #14583430C22semidirect
75. #14583428C22semidirect
81. C4×#10621900C22semidirect
82. C4×Q8×D43C22semidirect
83. #14583294C22semidirect
84. #14583294C22semidirect
85. #14583293C22semidirect
86. #14583290C22semidirect
87. #14583290C22semidirect
88. #14583290C22semidirect
89. #14583287C22semidirect
90. #14583282C22semidirect
91. #14583282C22semidirect
92. #14583281C22semidirect
93. #14583279C22semidirect
94. #14583277C22semidirect
95. #14583271C22semidirect
96. #14583270C22semidirect
97. #14583268C22semidirect
98. #14583266C22semidirect
99. #14583263C22semidirect
100. #14583262C22semidirect
101. #14583261C22semidirect
102. #14583257C22semidirect
103. #14583257C22semidirect
104. #14583254C22semidirect
105. #14583253C22semidirect
106. #14583252C22semidirect
107. #14583252C22semidirect
108. #14583251C22semidirect
109. #14583248C22semidirect
110. #14583244C22semidirect
111. #14583124C22semidirect
112. #14583124C22semidirect
113. #14583123C22semidirect
114. #14583122C22semidirect
115. #14583122C22semidirect
116. #14583121C22semidirect
117. #14583120C22semidirect
118. #14583120C22semidirect
119. #14583120C22semidirect
120. #14583120C22semidirect
121. #14583120C22semidirect
122. #14583120C22semidirect
123. #14583119C22semidirect
124. #14583119C22semidirect
125. #14583119C22semidirect
126. #14583118C22semidirect
127. #14583118C22semidirect
128. #14583116C22semidirect
129. #14583114C22semidirect
130. #14583112C22semidirect
131. #14583112C22semidirect
132. #14583112C22semidirect
133. #14583110C22semidirect
134. #14583110C22semidirect
135. #14583109C22semidirect
136. #14583104C22semidirect
137. #14583096C22semidirect
138. #14583096C22semidirect
143. #14583062C22semidirect
144. #14583062C22semidirect
145. #14583061C22semidirect
146. #14583061C22semidirect
149. #14583058C22semidirect
150. #14583057C22semidirect
151. #14583057C22semidirect
152. #14583056C22semidirect
153. #14583056C22semidirect
154. #14583054C22semidirect
155. #14583053C22semidirect
163. #14583041C22semidirect
164. #14583037C22semidirect
165. #14583036C22semidirect
167. #14582960C22semidirect
168. #14582959C22semidirect
169. #14582959C22semidirect
170. #14582954C22semidirect
171. #14582953C22semidirect
172. #14582950C22semidirect
173. #14582949C22semidirect
174. #14582921C22semidirect
175. C4⋊C8×D43C22semidirect
176. #14582906C22semidirect
179. #14582897C22semidirect
181. #14582892C22semidirect
182. #103×D43C22semidirect
186. #14582856C22semidirect
187. #14582853C22semidirect
188. C43×#542C22semidirect
190. C43×#496C22semidirect
191. C43×#495C22semidirect
192. C43×#489C22semidirect
193. C43×#486C22semidirect
194. C43×#464C22semidirect
195. C43×#463C22semidirect
196. C43×#460C22semidirect
197. C43×#459C22semidirect
198. C43×#452C22semidirect
200. C43×#449C22semidirect
202. C43×#433C22semidirect
919. #3224D43semidirect
977. #542C2×D43semidirect
1016. #496C2×D43semidirect
1020. #495C2×D43semidirect
1032. #489C2×D43semidirect
1040. #486C2×D43semidirect
1058. #464C2×D43semidirect
1064. #463C2×D43semidirect
1071. #460C2×D43semidirect
1072. #459C2×D43semidirect
1084. #452C2×D43semidirect
1100. #449C2×D43semidirect
1108. #433C2×D43semidirect
1127. C43#60835semidirect

Maximal subgroups

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

subgroupindex
#191483872
#191480212
#191457012
#191456982
#191456862
#191456802
#191456752
#191456672
#191456662
#191456302
#191456272
#191455992
#191455952
#191455572
#191455552
#191455522
#191455492
#191450852
#191450682
#191449572
#191449442
#191440842
#191440622
#191440432
#464×D432
#191439082
#191438942
#191438872
#191438672
#191432582
C43×#32242
#6083543