Finite Group Databasebeta

← #25974029

Subgroups — #25974029

Order 11008.

2102 conjugacy classes of subgroups.

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

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19148299C211yesmaximal, characteristic, complemented
2#19148232C211yesmaximal, characteristic, complemented
3#19146912C211yesmaximal, characteristic, complemented
4#19146907C211yesmaximal, characteristic, complemented
5#19146902C211yesmaximal, characteristic, complemented
6#19146895C211yesmaximal, characteristic, complemented
7#19146810C211yesmaximal, characteristic, complemented
8#19146807C211yesmaximal, characteristic, complemented
9#19146791C211yesmaximal, characteristic, complemented
10#19146689C211yesmaximal, characteristic, complemented
11#19146688C211yesmaximal, characteristic, complemented
12#19146679C211yesmaximal, characteristic, complemented
13#19146676C211yesmaximal, characteristic, complemented
14#19146565C211yesmaximal, characteristic, complemented
15#19146564C211yesmaximal, characteristic, complemented
16#19146563C211yesmaximal, characteristic, complemented
17#19146560C211yesmaximal, characteristic, complemented
18#19144959C211yesmaximal, characteristic, complemented
19#19144561C211yesmaximal, characteristic, complemented
20#19144514C211yesmaximal, characteristic, complemented
21#19144425C211yesmaximal, characteristic, complemented
22#19144281C211yesmaximal, characteristic, complemented
23#19144202C211yesmaximal, characteristic, complemented
24#19144146C211yesmaximal, characteristic, complemented
25#19143894C211yesmaximal, characteristic, complemented
26#19143833C211yesmaximal, characteristic, complemented
27#19143420C211yesmaximal, characteristic, complemented
28#19143295C211yesmaximal, characteristic, complemented
29#19143120C211yesmaximal, characteristic, complemented
30#417×D43C211yesmaximal, characteristic, complemented
31C43×#3322C211yesmaximal, characteristic, complemented
32C2×#13063370C2211yescharacteristic
33C2×#41×D43C2211yescharacteristic
34C2×#13063354C2211yescharacteristic, complemented
35C2×#13063349C2211yescharacteristic
36C2×#13063344C2211yescharacteristic
37C2×#13063333C2211yescharacteristic
38C2×M16×D43C2211yescharacteristic, complemented
39#14583608—21no—
40#14583606C2211yescharacteristic, complemented
41#14583604C2211yescharacteristic, complemented
42#14583601C2211yescharacteristic, complemented
43#14583592—21no—
44#14583588C2211yescharacteristic, complemented
45#14583587C2211yescharacteristic, complemented
46#14583585—21no—
47#14583554C2211yescharacteristic
48#14583554C2211yescharacteristic, complemented
49#14583553C2211yescharacteristic
50#14583551C2211yescharacteristic
51#14583549—21no—
52#14583549C2211yescharacteristic, complemented
53#14583548C2211yescharacteristic
54#14583547—21no—
55#14583547—21no—
56#14583546C2211yescharacteristic
57#14583543C2211yescharacteristic
58#14583542C2211yescharacteristic
59#14583539—21no—
60#14583536—21no—
61#14583529C2211yescharacteristic, complemented
62#14583492—21no—
63#14583490—21no—
64#14583478C2211yescharacteristic
65#14583472C2211yescharacteristic
66#14583469C2211yescharacteristic
67#14583459—21no—
68#14583457—21no—
69#14583409—21no—
70#14583409C2211yescharacteristic
71#14583409C2211yescharacteristic, complemented
72#14583408—21no—
73#14583408C2211yescharacteristic
74C2×#13063307—21no—
75#123×D43—21no—
76#14583379C2211yescharacteristic
77#14583378C2211yescharacteristic, complemented
78#14583371C2211yescharacteristic
79C2×C4⋊C4×D43C2211yescharacteristic, complemented
80#14583269C2211yescharacteristic, complemented
81#14583266C2211yescharacteristic, complemented
82#14583258C2211yescharacteristic, complemented
83#14583257C2211yescharacteristic, complemented
84#14583252C2211yescharacteristic, complemented
85#14583250C2211yescharacteristic, complemented
86#14583248C2211yescharacteristic, complemented
87#14583243C2211yescharacteristic, complemented
88#14583240C2211yescharacteristic, complemented
89#14583238C2211yescharacteristic, complemented
90#14583236C2211yescharacteristic, complemented
91#14583236C2211yescharacteristic, complemented
92#14583236C2211yescharacteristic, complemented
93#14583232C2211yescharacteristic, complemented
94#14583230C2211yescharacteristic, complemented
95#14583230C2211yescharacteristic, complemented
96#14583229C2211yescharacteristic, complemented
97#14583228C2211yescharacteristic, complemented
98#14583216C2211yescharacteristic, complemented
99#14583216C2211yescharacteristic, complemented
100#14583210C2211yescharacteristic, complemented
101#14583201C2211yescharacteristic, complemented
102#14583198C2211yescharacteristic, complemented
103#14583196C2211yescharacteristic, complemented
104#14583190C2211yescharacteristic, complemented
105#14583187C2211yescharacteristic, complemented
106#14583179C2211yescharacteristic, complemented
107#14583178C2211yescharacteristic, complemented
108#14583158C2211yescharacteristic, complemented
109#14583157C2211yescharacteristic, complemented
110#14583157C2211yescharacteristic, complemented
111#14583156C2211yescharacteristic, complemented
112#14583149C2211yescharacteristic, complemented
113#14583144C2211yescharacteristic, complemented
114#14583144C2211yescharacteristic, complemented
115#14583144C2211yescharacteristic, complemented
116#14583143C2211yescharacteristic, complemented
117#14583143C2211yescharacteristic, complemented
118#14583141C2211yescharacteristic, complemented
119#14583138C2211yescharacteristic, complemented
120#14583126C2211yescharacteristic, complemented
121#14583125C2211yescharacteristic, complemented
122#14583120C2211yescharacteristic, complemented
123#14583118C2211yescharacteristic, complemented
124#14583112C2211yescharacteristic, complemented
125#14583110C2211yescharacteristic, complemented
126#14583108C2211yescharacteristic, complemented
127#14583104C2211yescharacteristic, complemented
128#14583102C2211yescharacteristic, complemented
129#14583064C2211yescharacteristic, complemented
130#14583063C2211yescharacteristic, complemented
131#14583063C2211yescharacteristic, complemented
132#14583062C2211yescharacteristic, complemented
133#14583062C2211yescharacteristic, complemented
134#14583061C2211yescharacteristic, complemented
135#14583051C2211yescharacteristic, complemented
136#14583050C2211yescharacteristic, complemented
137#14583043C2211yescharacteristic, complemented
138#14583042C2211yescharacteristic, complemented
139#14583042C2211yescharacteristic, complemented
140#14583041C2211yescharacteristic, complemented
141#14583041C2211yescharacteristic, complemented
142#14583031C2211yescharacteristic, complemented
143#14583011C2211yescharacteristic, complemented
144#14583009C2211yescharacteristic, complemented
145#14582999C2211yescharacteristic, complemented
146#14582998C2211yescharacteristic, complemented
147#14582990C2211yescharacteristic, complemented
148C4×#10621873C2211yescharacteristic, complemented
149#14582979C2211yescharacteristic, complemented
150#14582978C2211yescharacteristic, complemented
151#14582975C2211yescharacteristic, complemented
152#14582975C2211yescharacteristic, complemented
153#14582973C2211yescharacteristic, complemented
154#14582971C2211yescharacteristic, complemented
155#14582969C2211yescharacteristic, complemented
156#14582967C2211yescharacteristic, complemented
157#14582940C2211yescharacteristic, complemented
158#14582940C2211yescharacteristic, complemented
159#14582934C2211yescharacteristic, complemented
160#14582924C2211yescharacteristic, complemented
161#14582906C2211yescharacteristic, complemented
162#14582902C2211yescharacteristic
163#14582902C2211yescharacteristic, complemented
164#14582901C2211yescharacteristic, complemented
165#14582901C2211yescharacteristic, complemented
166#14582900C2211yescharacteristic, complemented
167#14582899C2211yescharacteristic, complemented
168#14582899C2211yescharacteristic, complemented
169#14582898C2211yescharacteristic, complemented
170#14582897C2211yescharacteristic
171#14582897C2211yescharacteristic
172#14582897C2211yescharacteristic, complemented
173#14582897C2211yescharacteristic, complemented
174#14582897C2211yescharacteristic, complemented
175#14582893C2211yescharacteristic, complemented
176#14582892C2211yescharacteristic
177#14582892C2211yescharacteristic, complemented
178#14582892C2211yescharacteristic, complemented
179#103×D43C2211yescharacteristic, complemented
180#103×D43C2211yescharacteristic, complemented
181C2×#13063246C2211yescharacteristic, complemented
182#102×D43C2211yescharacteristic
183#102×D43C2211yescharacteristic
184#102×D43C2211yescharacteristic, complemented
185#14582864C2211yescharacteristic
186#14582861C2211yescharacteristic, complemented
187#14582853C2211yescharacteristic, complemented
188C43×#553C2211yescharacteristic, complemented
189C43×#546C2211yescharacteristic
190C43×#488C2211yescharacteristic, complemented
191C43×#485C2211yescharacteristic, complemented
192C43×#480C2211yescharacteristic, complemented
193C43×#478C2211yescharacteristic, complemented
194C43×#469C2211yescharacteristic, complemented
195C43×#468C2211yescharacteristic, complemented
196C43×#463C2211yescharacteristic, complemented
197C43×#449C2211yescharacteristic, complemented
198C43×#447C2211yescharacteristic, complemented
199C4×D8×C43C2211yescharacteristic, complemented
200C43×#436C2211yescharacteristic, complemented
201C43×#418C2211yescharacteristic, complemented
202C43×#417C2211yescharacteristic, complemented
203#13063370—24no—
204#13063370—42no—
205C2×#10621902C2311yescharacteristic
206C2×#10621898—21no—
207C2×#10621898—21no—
208C2×#10621898C2311yescharacteristic
209C2×#10621898C2311yescharacteristic
210C2×#10621898C2311yescharacteristic
211C2×#10621900—21no—
212C2×#10621900—21no—
213C2×#10621900—21no—
214C2×#10621900C2311yescharacteristic
215C2×#10621900C2311yescharacteristic
216C2×#10621900C2311yescharacteristic
217C2×#10621900C2311yescharacteristic
218#41×D43—24no—
219#41×D43—42no—
220C2×Q8×D43C2311yescharacteristic
221C22×C22⋊D43—21no—
222C22×C22⋊D43—21no—
223C2×D4×D43—21no—
224C2×D4×D43—21no—
225C2×D4×D43C2311yescharacteristic
226C2×D4×D43C2311yescharacteristic
227C22×C4×D43—21no—
228C22×C4×D43—21no—
229C22×C4×D43C2311yescharacteristic
230#13063354—42no—
231#13063349—24no—
232#13063344—42no—
233C2×Dic172C2311yescharacteristic
234C2×Dic172C2311yescharacteristic
235C2×#10621885C2311yescharacteristic
236C2×#10621873C2311yescharacteristic
237C2×#10621883C2311yescharacteristic
238C2×#10621883C2311yescharacteristic
239C2×#10621883C2311yescharacteristic
240C2×#10621883C2311yescharacteristic
241C2×#10621882C2311yescharacteristic
242#13063333—42no—
243C2×#10621877C2311yescharacteristic
244C2×#10621872C2311yescharacteristic
245C2×#10621872C2311yescharacteristic
246C2×#10621872C2311yescharacteristic
247C2×#10621872C2311yescharacteristic
248C2×#10621872C2311yescharacteristic
249M16×D43—42no—
250C22×C43⋊C8C2311yescharacteristic
251C2×C8×D43C2311yescharacteristic
252C2×C8×D43C2311yescharacteristic
253C2×C8×D43C2311yescharacteristic
254#13063325C2311yescharacteristic
255#13063325C2311yescharacteristic
256#13063324—21no—
257#13063324—21no—
258#13063324C2311yescharacteristic
259#13063323C2311yescharacteristic
260#13063320—21no—
261#13063318—21no—
262#13063318—21no—
263#13063317—21no—
264#13063316—21no—
265#13063316—21no—
266#13063316C2311yescharacteristic
267#13063315—21no—
268#13063315—21no—
269#13063312C2311yescharacteristic
270#13063311—21no—
271#13063310—21no—
272#13063310—21no—
273#13063310—21no—
274#13063310D411yescharacteristic
275#13063309—21no—
276#13063309—21no—
277#13063309—21no—
278#13063308—21no—
279#13063307—21no—
280#13063307—21no—
281#13063307—21no—
282#13063307—21no—
283#13063307—21no—
284#13063307—21no—
285#13063307—21no—
286#13063307—21no—
287#13063307—21no—
288#13063307—21no—
289#13063307—21no—
290#13063307—21no—
291#13063307—21no—
292#13063307—21no—
293#13063307D411yescharacteristic
294#13063306—21no—
295#13063306—21no—
296#13063306—21no—
297#13063305—21no—
298#13063305C2311yescharacteristic
299#13063305C2311yescharacteristic
300#13063305C2311yescharacteristic
301#13063305C2311yescharacteristic
302#13063304—21no—
303#13063304—21no—
304#13063304C2311yescharacteristic
305#13063304C2311yescharacteristic
306#13063304C2311yescharacteristic
307#13063304C2311yescharacteristic
308#13063303—21no—
309#13063303—21no—
310#13063303D411yescharacteristic
311#13063302—21no—
312#13063302—21no—
313#13063302—21no—
314#13063302—21no—
315#13063302—21no—
316#13063302—21no—
317#13063302D411yescharacteristic
318#13063301C2311yescharacteristic
319#13063299—21no—
320#13063298—21no—
321#13063298—21no—
322#13063298—21no—
323#13063298D411yescharacteristic
324#13063297—21no—
325#13063297—21no—
326#13063297—21no—
327#13063297—21no—
328#13063297D411yescharacteristic
329#13063296—21no—
330#13063296—21no—
331#13063296—21no—
332#13063296C2311yescharacteristic
333#13063296C2311yescharacteristic
334#13063296C2311yescharacteristic
335#13063295—21no—
336#13063295D411yescharacteristic
337#13063294—21no—
338#13063293—21no—
339#13063293—21no—
340#13063293—21no—
341#13063293D411yescharacteristic
342C4×Dic86—21no—
343C4×Dic86C2311yescharacteristic
344#13063290C2311yescharacteristic
345C4×D172—21no—
346C4×D172C2311yescharacteristic
347C4×D172C2311yescharacteristic
348D4×Dic43—21no—
349D4×Dic43—21no—
350D4×Dic43—21no—
351D4×Dic43—21no—
352D4×Dic43C2311yescharacteristic
353D4×Dic43C2311yescharacteristic
354#13063287C2311yescharacteristic
355C4×C22⋊D43—21no—
356C4×C22⋊D43—21no—
357C4×C22⋊D43—21no—
358C4×C22⋊D43C2311yescharacteristic
359C4×C22⋊D43C2311yescharacteristic
360(C22⋊D43)⋊C4—21no—
361(C22⋊D43)⋊C4—21no—
362(C22⋊D43)⋊C4—21no—
363(C22⋊D43)⋊C4—21no—
364(C22⋊D43)⋊C4—21no—
365(C22⋊D43)⋊C4—21no—
366#13063283—21no—
367#13063283C2311yescharacteristic
368#13063283C2311yescharacteristic
369#13063283C2311yescharacteristic
370#13063282—21no—
371#13063282C2311yescharacteristic
372#13063281—21no—
373C2×C4⋊Dic43—21no—
374C2×C4⋊Dic43C2311yescharacteristic
375C2×C4⋊Dic43C2311yescharacteristic
376C2×Dic43⋊C4—21no—
377C2×Dic43⋊C4—21no—
378C2×Dic43⋊C4—21no—
379C4⋊C4×D43—21no—
380C4⋊C4×D43—21no—
381C4⋊C4×D43—21no—
382C4⋊C4×D43—21no—
383C4⋊C4×D43C2311yescharacteristic
384C4⋊C4×D43C2311yescharacteristic
385C4⋊C4×D43C2311yescharacteristic
386C4⋊C4×D43C2311yescharacteristic
387C4⋊C4×D43C2311yescharacteristic
388C2×C22⋊Dic43—21no—
389C2×(C2×D43)⋊C4—21no—
390C22⋊C4×D43—21no—
391C22⋊C4×D43—21no—
392C22⋊C4×D43—21no—
393#13063258C2311yescharacteristic
394#13063258C2311yescharacteristic
395#13063258C2311yescharacteristic
396#13063258C2311yescharacteristic
397#13063257C2311yescharacteristic
398#13063257C2311yescharacteristic
399#13063257C2311yescharacteristic
400#13063256C2311yescharacteristic
401#13063256C2311yescharacteristic
402C4⋊(C43⋊C8)C2311yescharacteristic
403Dic43⋊C8C2311yescharacteristic
404Dic43⋊C8C2311yescharacteristic
405#13063250C2311yescharacteristic
406#13063250C2311yescharacteristic
407#13063250C2311yescharacteristic
408#13063250C2311yescharacteristic
409#13063250C2311yescharacteristic
410#13063250C2311yescharacteristic
411#13063250C2311yescharacteristic
412#13063249C2311yescharacteristic
413#13063249C2311yescharacteristic
414#13063249C2311yescharacteristic
415#13063248C2311yescharacteristic
416#13063248C2311yescharacteristic
417#13063248C2311yescharacteristic
418#13063248C2311yescharacteristic
419#13063248C2311yescharacteristic
420#13063248C2311yescharacteristic
421#13063248C2311yescharacteristic
422#13063247C2311yescharacteristic
423#13063247C2311yescharacteristic
424#13063247C2311yescharacteristic
425#13063246C2311yescharacteristic
426#13063246C2311yescharacteristic
427#13063246C2311yescharacteristic
428#13063246C2311yescharacteristic
429#13063246C2311yescharacteristic
430#13063246C2311yescharacteristic
431#13063246C2311yescharacteristic
432#13063245C2311yescharacteristic
433#13063245C2311yescharacteristic
434#13063245C2311yescharacteristic
435C22⋊(C43⋊C8)C2311yescharacteristic
436C22⋊(C43⋊C8)C2311yescharacteristic
437(C2×D43)⋊C8C2311yescharacteristic
438(C2×D43)⋊C8C2311yescharacteristic
439(C2×D43)⋊C8C2311yescharacteristic
440(C2×D43)⋊C8C2311yescharacteristic
441#13063236C2311yescharacteristic
442#13063235C2311yescharacteristic
443C8×Dic43C2311yescharacteristic
444C2×#41×C43C2311yescharacteristic
445C22×D4×C43C2311yescharacteristic
446C2×SD16×C43C2311yescharacteristic
447C2×D8×C43C2311yescharacteristic
448C2×D8×C43C2311yescharacteristic
449C2×M16×C43C2311yescharacteristic
450C2×M16×C43C2311yescharacteristic
451#126×C43—21no—
452#125×C43C2311yescharacteristic
453#124×C43C2311yescharacteristic
454#123×C43—21no—
455#123×C43—21no—
456C22⋊Q8×C43C2311yescharacteristic
457#121×C43—21no—
458#121×C43—21no—
459#121×C43C2311yescharacteristic
460#121×C43C2311yescharacteristic
461#121×C43C2311yescharacteristic
462#120×C43—21no—
463C4×D4×C43—21no—
464C4×D4×C43C2311yescharacteristic
465C4×D4×C43C2311yescharacteristic
466C4×D4×C43C2311yescharacteristic
467#117×C43C2311yescharacteristic
468C2×C4⋊C4×C43C2311yescharacteristic
469C2×C22⋊C4×C43—21no—
470#107×C43C2311yescharacteristic
471#107×C43C2311yescharacteristic
472#106×C43C2311yescharacteristic
473C4⋊C8×C43C2311yescharacteristic
474#103×C43C2311yescharacteristic
475#103×C43C2311yescharacteristic
476#103×C43C2311yescharacteristic
477#102×C43C2311yescharacteristic
478#102×C43C2311yescharacteristic
479#102×C43C2311yescharacteristic
480#102×C43C2311yescharacteristic
481#102×C43C2311yescharacteristic
482#102×C43C2311yescharacteristic
483#102×C43C2311yescharacteristic
484C22⋊C8×C43C2311yescharacteristic
485C22⋊C8×C43C2311yescharacteristic
486C4×C8×C43C2311yescharacteristic
487C24×C43—21no—
488C23×D43—21no—
489C23×D43—21no—
490C23×D43C2×D411yescharacteristic
491#41×C43—22no—
492#41×C43—41no—
493C2×Q8×C43C2411yescharacteristic
494C2×D4×C43—21no—
495C2×D4×C43—21no—
496C2×D4×C43—21no—
497C2×D4×C43—21no—
498C2×D4×C43—21no—
499C2×D4×C43—22no—
500C2×D4×C43—41no—
501C2×D4×C43C2×D411yescharacteristic
502C2×D4×C43C2411yescharacteristic
503C2×D4×C43C2411yescharacteristic
504C2×D4×C43C2411yescharacteristic
505C22×C4×C43—21no—
506C22×C4×C43—21no—
507C22×C4×C43—21no—
508C22×C4×C43—21no—
509C22×C4×C43C2411yescharacteristic
510C22×C4×C43C2411yescharacteristic
511C2×C22⋊D43—21no—
512C2×C22⋊D43—21no—
513C2×C22⋊D43—21no—
514C2×C22⋊D43—21no—
515C2×C22⋊D43—21no—
516C2×C22⋊D43—21no—
517C2×C22⋊D43—21no—
518C2×C22⋊D43—21no—
519C2×C22⋊D43—21no—
520C2×C22⋊D43—21no—
521C2×C22⋊D43—21no—
522C2×C22⋊D43—44no—
523C2×C22⋊D43—44no—
524C2×C22⋊D43C2×D411yescharacteristic
525C2×C22⋊D43C2×D411yescharacteristic
526C2×C22⋊D43C2×D411yescharacteristic
527C2×C22⋊D43C2×D411yescharacteristic
528C22×Dic43—21no—
529C22×Dic43—21no—
530C22×Dic43—21no—
531C22×Dic43—21no—
532C22×Dic43—21no—
533C22×Dic43—21no—
534C22×Dic43—21no—
535C22×Dic43—21no—
536C22×Dic43C2×D411yescharacteristic
537#10621902—22no—
538#10621902—41no—
539Q8×D43—22no—
540Q8×D43—22no—
541#10621900—22no—
542#10621900—22no—
543#10621900—22no—
544#10621900—22no—
545#10621900—22no—
546#10621900—22no—
547#10621900—41no—
548#10621900—41no—
549#10621900—44no—
550#10621900—44no—
551#10621900—82no—
552D4×D43—22no—
553D4×D43—22no—
554D4×D43—44no—
555D4×D43—44no—
556D4×D43—41no—
557D4×D43#4114yescomplemented
558#10621898—22no—
559#10621898—22no—
560#10621898—22no—
561#10621898—22no—
562#10621898—41no—
563#10621898—41no—
564#10621898—44no—
565#10621898—82no—
566C2×D172—21no—
567C2×D172C2×D411yescharacteristic
568C2×D172C2×D411yescharacteristic
569C2×D172C2411yescharacteristic
570C2×C4×D43—22no—
571C2×C4×D43—22no—
572C2×C4×D43—21no—
573C2×C4×D43—21no—
574C2×C4×D43—21no—
575C2×C4×D43—21no—
576C2×C4×D43—21no—
577C2×C4×D43—21no—
578C2×C4×D43—21no—
579C2×C4×D43—21no—
580C2×C4×D43—21no—
581C2×C4×D43—21no—
582C2×C4×D43—21no—
583C2×C4×D43—44no—
584C2×C4×D43—82no—
585C2×C4×D43C2×D411yescharacteristic
586C2×C4×D43C2×D411yescharacteristic
587C2×C4×D43C2411yescharacteristic
588C2×C4×D43C2411yescharacteristic
589C2×C4×D43C2411yescharacteristic
590C2×Dic86—21no—
591C2×Dic86—21no—
592C2×Dic86—21no—
593C2×Dic86C2×D411yescharacteristic
594C2×Dic86C2411yescharacteristic
595C2×Dic86C2411yescharacteristic
596C2×Dic86C2411yescharacteristic
597SD16×C43—41no—
598D8×C43—22no—
599D8×C43—41no—
600M16×C43—41no—
601M16×C43—41no—
602C2×C8×C43C2411yescharacteristic
603C2×C8×C43C2411yescharacteristic
604C2×C8×C43C2411yescharacteristic
605C2×C8×C43C2411yescharacteristic
606C4⋊C4×C43—21no—
607C4⋊C4×C43—21no—
608C4⋊C4×C43—21no—
609C4⋊C4×C43—21no—
610C4⋊C4×C43C2×D411yescharacteristic
611C4⋊C4×C43C2411yescharacteristic
612C4⋊C4×C43C2411yescharacteristic
613C4⋊C4×C43C2411yescharacteristic
614C4⋊C4×C43C2411yescharacteristic
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×C43—21no—
623C22⋊C4×C43—21no—
624C22⋊C4×C43C2×D411yescharacteristic
625C22⋊C4×C43C2×D411yescharacteristic
626C42×C43—21no—
627C42×C43C2411yescharacteristic
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⋊Dic43C2×D411yescharacteristic
640C22⋊Dic43C2×D411yescharacteristic
641#10621885—41no—
642#10621883—22no—
643#10621883—41no—
644#10621883—41no—
645#10621883—41no—
646#10621882—22no—
647(C2×D43)⋊C4—21no—
648(C2×D43)⋊C4—21no—
649(C2×D43)⋊C4—21no—
650(C2×D43)⋊C4—21no—
651(C2×D43)⋊C4—21no—
652(C2×D43)⋊C4—21no—
653(C2×D43)⋊C4—21no—
654(C2×D43)⋊C4—21no—
655(C2×D43)⋊C4—21no—
656(C2×D43)⋊C4—21no—
657(C2×D43)⋊C4C2×D411yescharacteristic
658(C2×D43)⋊C4C2×D411yescharacteristic
659(C2×D43)⋊C4C2×D411yescharacteristic
660(C2×D43)⋊C4C2×D411yescharacteristic
661(C2×D43)⋊C4C2×D411yescharacteristic
662(C2×D43)⋊C4C2×D411yescharacteristic
663C4⋊Dic43—21no—
664C4⋊Dic43—21no—
665C4⋊Dic43—21no—
666C4⋊Dic43—21no—
667C4⋊Dic43—21no—
668C4⋊Dic43—21no—
669C4⋊Dic43—21no—
670C4⋊Dic43—21no—
671C4⋊Dic43—21no—
672C4⋊Dic43—21no—
673C4⋊Dic43C2×D411yescharacteristic
674C4⋊Dic43C2411yescharacteristic
675C4⋊Dic43C2411yescharacteristic
676C4⋊Dic43C2411yescharacteristic
677C4⋊Dic43C2411yescharacteristic
678Dic43⋊C4—21no—
679Dic43⋊C4—21no—
680Dic43⋊C4—21no—
681Dic43⋊C4—21no—
682Dic43⋊C4—21no—
683Dic43⋊C4—21no—
684Dic43⋊C4—21no—
685Dic43⋊C4—21no—
686Dic43⋊C4—21no—
687Dic43⋊C4—21no—
688Dic43⋊C4—21no—
689Dic43⋊C4—21no—
690Dic43⋊C4—21no—
691Dic43⋊C4—21no—
692Dic43⋊C4—21no—
693Dic43⋊C4—21no—
694Dic43⋊C4C2×D411yescharacteristic
695Dic43⋊C4C2×D411yescharacteristic
696Dic43⋊C4C2×D411yescharacteristic
697Dic43⋊C4C2×D411yescharacteristic
698C4×Dic43—21no—
699C4×Dic43—21no—
700C4×Dic43—21no—
701C4×Dic43—21no—
702C4×Dic43—21no—
703C4×Dic43C2411yescharacteristic
704#10621877—41no—
705C2×C43⋊C8—41no—
706C2×C43⋊C8C2411yescharacteristic
707C2×C43⋊C8C2411yescharacteristic
708C2×C43⋊C8C2411yescharacteristic
709C2×C43⋊C8C2411yescharacteristic
710Dic172—41no—
711Dic172—41no—
712#10621873—22no—
713#10621872—22no—
714#10621872—22no—
715#10621872—41no—
716#10621872—41no—
717#10621872—41no—
718C8×D43—22no—
719C8×D43—22no—
720C8×D43—41no—
721C23×C43—21no—
722C23×C43—21no—
723C23×C43—21no—
724C23×C43—42no—
725C23×C43—81no—
726C23×C43—81no—
727C23×C43C22×D411yescharacteristic
728C23×C43C22×D411yescharacteristic
729C22×D43—21no—
730C22×D43—22no—
731C22×D43—24no—
732C22×D43—41no—
733C22×D43—41no—
734C22×D43—42no—
735C22×D43—81no—
736C22×D43—81no—
737C22×D43—81no—
738C22×D43—81no—
739C22×D43C22×D411yescharacteristic
740C22×D43C22×D411yescharacteristic
741C22×D43C22×D411yescharacteristic
742Q8×C43—21no—
743Q8×C43—21no—
744D4×C43—21no—
745D4×C43—21no—
746D4×C43—21no—
747D4×C43—21no—
748D4×C43—21no—
749D4×C43—41no—
750D4×C43—42no—
751D4×C43—42no—
752D4×C43—42no—
753D4×C43—81no—
754D4×C43—81no—
755D4×C43C2×#4112yes—
756C2×C4×C43—21no—
757C2×C4×C43—21no—
758C2×C4×C43—21no—
759C2×C4×C43—21no—
760C2×C4×C43—21no—
761C2×C4×C43—21no—
762C2×C4×C43—21no—
763C2×C4×C43—21no—
764C2×C4×C43—21no—
765C2×C4×C43—42no—
766C2×C4×C43—81no—
767C2×C4×C43—81no—
768C2×C4×C43—81no—
769C2×C4×C43C22×D411yescharacteristic
770C2×C4×C43C22×D411yescharacteristic
771C2×C4×C43C22×D411yescharacteristic
772C2×C4×C43C22×D411yescharacteristic
773C2×C4×C43C2511yescharacteristic
774C22⋊D43—22no—
775C22⋊D43—22no—
776C22⋊D43—24no—
777C22⋊D43—41no—
778C22⋊D43—41no—
779C22⋊D43—42no—
780C22⋊D43—42no—
781C22⋊D43—42no—
782C22⋊D43—42no—
783C22⋊D43—42no—
784C22⋊D43—42no—
785C22⋊D43—42no—
786C22⋊D43—42no—
787C22⋊D43—81no—
788C22⋊D43—81no—
789C2×Dic43—22no—
790C2×Dic43—21no—
791C2×Dic43—21no—
792C2×Dic43—21no—
793C2×Dic43—21no—
794C2×Dic43—21no—
795C2×Dic43—21no—
796C2×Dic43—21no—
797C2×Dic43—42no—
798C2×Dic43—42no—
799C2×Dic43—42no—
800C2×Dic43—42no—
801C2×Dic43—81no—
802C2×Dic43—81no—
803C2×Dic43—81no—
804C2×Dic43—81no—
805C2×Dic43C22×D411yescharacteristic
806C2×Dic43C22×D411yescharacteristic
807C2×Dic43C22×D411yescharacteristic
808C2×Dic43C22×D411yescharacteristic
809C2×Dic43C22×D411yescharacteristic
810D172—22no—
811D172—21no—
812D172—41no—
813D172—42no—
814D172C2×#4112yes—
815C4×D43—22no—
816C4×D43—21no—
817C4×D43—21no—
818C4×D43—21no—
819C4×D43—21no—
820C4×D43—22no—
821C4×D43—42no—
822C4×D43—42no—
823C4×D43—42no—
824C4×D43—42no—
825C4×D43—42no—
826C4×D43—42no—
827C4×D43—81no—
828C4×D43—81no—
829C4×D43—81no—
830C4×D43—81no—
831C4×D43—81no—
832C4×D43C2×#4112yes—
833C4×D43H(5,𝔽2)12yes—
834Dic86—22no—
835Dic86—21no—
836Dic86—21no—
837Dic86—21no—
838Dic86—21no—
839Dic86—21no—
840Dic86—21no—
841Dic86—42no—
842Dic86—81no—
843Dic86—81no—
844C8×C43—21no—
845C8×C43—21no—
846C8×C43—21no—
847C8×C43—21no—
848C43⋊C8—21no—
849C43⋊C8—21no—
850C43⋊C8—21no—
851C43⋊C8—21no—
852#61177—431nomaximal, Sylow
853C22×C43—21no—
854C22×C43—21no—
855C22×C43—21no—
856C22×C43—21no—
857C22×C43—22no—
858C22×C43—21no—
859C22×C43—21no—
860C22×C43—41no—
861C22×C43—41no—
862C22×C43—41no—
863C22×C43—41no—
864C22×C43—41no—
865C22×C43—41no—
866C22×C43—41no—
867C22×C43—41no—
868C22×C43—162no—
869C22×C43C23×D411yescharacteristic
870C2×D43—21no—
871C2×D43—21no—
872C2×D43—21no—
873C2×D43—21no—
874C2×D43—21no—
875C2×D43—21no—
876C2×D43—22no—
877C2×D43—21no—
878C2×D43—21no—
879C2×D43—44no—
880C2×D43—41no—
881C2×D43—41no—
882C2×D43—84no—
883C2×D43—162no—
884C2×D43#54612yes—
885C4×C43—21no—
886C4×C43—21no—
887C4×C43—21no—
888C4×C43—21no—
889C4×C43—41no—
890C4×C43—41no—
891C4×C43—41no—
892C4×C43—41no—
893C4×C43—41no—
894C4×C43C22×#4111yescharacteristic
895C4×C43C2×H(5,𝔽2)11yescharacteristic
896Dic43—21no—
897Dic43—21no—
898Dic43—21no—
899Dic43—21no—
900Dic43—41no—
901Dic43—41no—
902Dic43—41no—
903Dic43—41no—
904Dic43—41no—
905Dic43—41no—
906Dic43—41no—
907Dic43#54612yes—
908#3492—431no—
909#3485—431no—
910#3331—431no—
911#3331—431no—
912#3330—431no—
913#3330—431no—
914#3323—431no—
915#3323—431no—
916#3322—431no—
917#3322D4311yescharacteristic, complemented
918#3315—431no—
919#3315—431no—
920#3314—431no—
921#3314—431no—
922#3307—431no—
923#3307—431no—
924#3306—431no—
925#3306—431no—
926#3137—431no—
927#3097—431no—
928#3092—431no—
929#3081—431no—
930#3063—431no—
931#3054—431no—
932#3046—431no—
933#3012—431no—
934#3005—431no—
935#2946—431no—
936#2930—431no—
937#2897—431no—
938C2×#417—431no—
939C2×C43—41no—
940C2×C43—42no—
941C2×C43—41no—
942C2×C43—81no—
943C2×C43—81no—
944C2×C43C2×#54611yescharacteristic
945C2×C43#358511yescharacteristic
946C2×C43#358611yescharacteristic
947D43—22no—
948D43—41no—
949D43—41no—
950D43—42no—
951C2×H(5,𝔽2)—431no—
952C22×#41—431no—
953C2×#137—431no—
954C2×AGL(1,ℤ/8)—431no—
955C2×#135—431no—
956C2×#131—431no—
957C22×M16—431no—
958#554—431no—
959#554—431no—
960#554—861no—
961#553—431no—
962#553—861no—
963#553C2×D4311yescharacteristic, complemented
964#552—431no—
965#552—431no—
966#552—861no—
967#547—431no—
968#547—431no—
969#547—431no—
970#547—431no—
971#547—431no—
972#547—431no—
973#547—861no—
974#547—861no—
975#547—861no—
976#546—431no—
977#546—431no—
978#546—431no—
979#546—861no—
980#546—861no—
981#546C2×D4311yescharacteristic
982#544—431no—
983#539—861no—
984#539—861no—
985#537—431no—
986#536—431no—
987#536—431no—
988#534—861no—
989#534—861no—
990#525—431no—
991#525—431no—
992#525—431no—
993#525—861no—
994#525—861no—
995C2×#123—861no—
996C2×#123—861no—
997#520—431no—
998#520—431no—
999#518—431no—
1000C22×C4⋊C4—431no—
1001#491—431no—
1002#491—431no—
1003#489—431no—
1004#489—431no—
1005#488—431no—
1006#488C2×D4311yescharacteristic, complemented
1007#487—431no—
1008#487—431no—
1009#485—431no—
1010#485—431no—
1011#485—431no—
1012#485C2×D4311yescharacteristic, complemented
1013#484—431no—
1014#484—431no—
1015#484—431no—
1016#484—431no—
1017#483—431no—
1018#483—431no—
1019#483—431no—
1020#483—431no—
1021#481—431no—
1022#481—431no—
1023#480—431no—
1024#480C2×D4311yescharacteristic, complemented
1025#478—431no—
1026#478—431no—
1027#478—431no—
1028#478C2×D4311yescharacteristic, complemented
1029#476—431no—
1030#476—431no—
1031#474—431no—
1032#474—431no—
1033#470—431no—
1034#470—431no—
1035#470—431no—
1036#470—431no—
1037#469—431no—
1038#469C2×D4311yescharacteristic, complemented
1039#468—431no—
1040#468—431no—
1041#468—431no—
1042#468—431no—
1043#468—431no—
1044#468C2×D4311yescharacteristic, complemented
1045#467—431no—
1046#467—431no—
1047#465—431no—
1048#465—431no—
1049#464—431no—
1050#464—431no—
1051#463—431no—
1052#463C2×D4311yescharacteristic, complemented
1053#462—431no—
1054#462—431no—
1055#461—431no—
1056#461—431no—
1057#452—431no—
1058#452—431no—
1059#452—431no—
1060#452—431no—
1061#452—431no—
1062#452—431no—
1063#450—431no—
1064#450—431no—
1065#449—431no—
1066#449—431no—
1067#449—431no—
1068#449—431no—
1069#449—431no—
1070#449C2×D4311yescharacteristic, complemented
1071#447—431no—
1072#447C2×D4311yescharacteristic, complemented
1073#442—431no—
1074#442—431no—
1075#440—431no—
1076#440—431no—
1077C4×SD16—431no—
1078C4×SD16—431no—
1079C4×D8—431no—
1080C4×D8C2×D4311yescharacteristic, complemented
1081#436—431no—
1082#436—431no—
1083#436—431no—
1084#436C2×D4311yescharacteristic, complemented
1085#435—431no—
1086#435—431no—
1087#435—431no—
1088#435—431no—
1089#428—431no—
1090#428—431no—
1091#427—431no—
1092#424—431no—
1093#419—431no—
1094#418—431no—
1095#418—431no—
1096#418C2×D4311yescharacteristic, complemented
1097#417—431no—
1098#417—431no—
1099#417—431no—
1100#417—431no—
1101#417—431no—
1102#417—431no—
1103#417—431no—
1104#417—431no—
1105#417—431no—
1106#417—431no—
1107#417—431no—
1108#417C2×D4311yescharacteristic, complemented
1109#416—431no—
1110#416—431no—
1111#416—431no—
1112#416—431no—
1113C2×#103—431no—
1114C2×#103—431no—
1115C2×#102—431no—
1116C2×#102—431no—
1117C2×#102—431no—
1118C2×#102—431no—
1119#408—431no—
1120#407—431no—
1121#405—431no—
1122C43#6117711yescharacteristic, complemented, Sylow
1123H(5,𝔽2)—864no—
1124H(5,𝔽2)—1722no—
1125C2×#41—431no—
1126C2×#41—431no—
1127C2×#41—431no—
1128C2×#41—431no—
1129C2×#41—431no—
1130C2×#41—431no—
1131C2×#41—431no—
1132C2×#41—431no—
1133C2×#41—861no—
1134C2×#41—861no—
1135C2×#41—861no—
1136C2×#41—861no—
1137C2×#41—861no—
1138C2×#41—864no—
1139C2×#41—1722no—
1140C2×#41C22×D4311yescharacteristic
1141C22×Q8—431no—
1142C22×D4—431no—
1143C22×D4—431no—
1144C22×D4—861no—
1145C22×D4—861no—
1146C22×D4—861no—
1147C22×D4—861no—
1148C22×D4C22×D4311yescharacteristic
1149C23×C4—431no—
1150C23×C4—861no—
1151C23×C4—861no—
1152#137—1722no—
1153AGL(1,ℤ/8)—864no—
1154#135—1722no—
1155C2×Q16—431no—
1156C2×Q16—431no—
1157C2×Q16—431no—
1158C2×SD16—431no—
1159C2×SD16—431no—
1160C2×SD16—431no—
1161C2×SD16—431no—
1162C2×SD16—431no—
1163C2×SD16C22×D4311yescharacteristic
1164C2×D8—431no—
1165C2×D8C22×D4311yescharacteristic
1166C2×D8C22×D4311yescharacteristic
1167#131—1722no—
1168C2×M16—431no—
1169C2×M16—431no—
1170C2×M16—431no—
1171C2×M16—431no—
1172C2×M16—431no—
1173C2×M16—431no—
1174C2×M16—1722no—
1175C2×M16C22×D4311yescharacteristic
1176C2×M16C22×D4311yescharacteristic
1177C22×C8—431no—
1178C22×C8—431no—
1179C22×C8—431no—
1180C22×C8—431no—
1181C4⋊Q8—431no—
1182C4⋊Q8—431no—
1183C4⋊Q8—431no—
1184C4⋊Q8—431no—
1185C4⋊Q8—861no—
1186C4⋊Q8—861no—
1187#126—21no—
1188#126—861no—
1189#126—861no—
1190#126—861no—
1191#125—431no—
1192#125—861no—
1193#125—861no—
1194#125—861no—
1195#125—861no—
1196#125—861no—
1197#125C22×D4311yescharacteristic
1198#124—431no—
1199#124—861no—
1200#124C22×D4311yescharacteristic
1201#123—21no—
1202#123—21no—
1203#123—431no—
1204#123—431no—
1205#123—861no—
1206#123—861no—
1207#123—861no—
1208#123—861no—
1209#123—861no—
1210#123—861no—
1211#123—861no—
1212#123—861no—
1213#123—861no—
1214#123—861no—
1215#123—861no—
1216#123—861no—
1217#123—861no—
1218#123—861no—
1219#123—861no—
1220#123—861no—
1221#123—861no—
1222#123—861no—
1223#123—861no—
1224#123—861no—
1225#123—861no—
1226#123—861no—
1227#123—861no—
1228#123—861no—
1229C22⋊Q8—431no—
1230C22⋊Q8—431no—
1231C22⋊Q8—431no—
1232C22⋊Q8—431no—
1233C22⋊Q8—431no—
1234C22⋊Q8—431no—
1235C22⋊Q8—431no—
1236C22⋊Q8—431no—
1237C22⋊Q8—431no—
1238C22⋊Q8—431no—
1239C22⋊Q8—431no—
1240C22⋊Q8—861no—
1241C22⋊Q8—861no—
1242C22⋊Q8—861no—
1243C22⋊Q8—861no—
1244C22⋊Q8—861no—
1245C22⋊Q8—861no—
1246C22⋊Q8—861no—
1247C22⋊Q8—861no—
1248C22⋊Q8—861no—
1249C22⋊Q8—861no—
1250C22⋊Q8—861no—
1251C22⋊Q8C22×D4311yescharacteristic
1252#121—21no—
1253#121—21no—
1254#121—431no—
1255#121—431no—
1256#121—431no—
1257#121—431no—
1258#121—431no—
1259#121—861no—
1260#121—861no—
1261#121—861no—
1262#121—861no—
1263#121—861no—
1264#121—861no—
1265#121—861no—
1266#121—861no—
1267#121—861no—
1268#121—861no—
1269#121—861no—
1270#121C22×D4311yescharacteristic
1271#121C22×D4311yescharacteristic
1272#121C22×D4311yescharacteristic
1273#120—21no—
1274#120—431no—
1275#120—431no—
1276#120—861no—
1277#120—861no—
1278#120—861no—
1279#120—861no—
1280#120—861no—
1281C4×Q8—431no—
1282C4×Q8—431no—
1283C4×Q8—861no—
1284C4×D4—21no—
1285C4×D4—431no—
1286C4×D4—431no—
1287C4×D4—431no—
1288C4×D4—431no—
1289C4×D4—431no—
1290C4×D4—431no—
1291C4×D4—431no—
1292C4×D4—861no—
1293C4×D4—861no—
1294C4×D4—861no—
1295C4×D4—861no—
1296C4×D4—861no—
1297C4×D4—861no—
1298C4×D4—861no—
1299C4×D4—861no—
1300C4×D4—861no—
1301C4×D4—861no—
1302C4×D4—861no—
1303C4×D4—861no—
1304C4×D4—861no—
1305C4×D4—861no—
1306C4×D4C22×D4311yescharacteristic
1307C4×D4C22×D4311yescharacteristic
1308C4×D4C22×D4311yescharacteristic
1309#117—431no—
1310#117—431no—
1311#117—431no—
1312#117—431no—
1313#117—861no—
1314#117—861no—
1315#117—861no—
1316#117C22×D4311yescharacteristic
1317C2×C4⋊C4—431no—
1318C2×C4⋊C4—431no—
1319C2×C4⋊C4—431no—
1320C2×C4⋊C4—431no—
1321C2×C4⋊C4—431no—
1322C2×C4⋊C4—431no—
1323C2×C4⋊C4—431no—
1324C2×C4⋊C4—861no—
1325C2×C4⋊C4—861no—
1326C2×C4⋊C4—861no—
1327C2×C4⋊C4—861no—
1328C2×C4⋊C4—861no—
1329C2×C4⋊C4—861no—
1330C2×C4⋊C4—861no—
1331C2×C4⋊C4—861no—
1332C2×C4⋊C4C22×D4311yescharacteristic
1333C2×C22⋊C4—21no—
1334C2×C22⋊C4—861no—
1335C2×C22⋊C4—861no—
1336C2×C22⋊C4—861no—
1337C2×C22⋊C4—861no—
1338C2×C22⋊C4—861no—
1339#107—431no—
1340#107—431no—
1341#107—431no—
1342#107—431no—
1343#107C22×D4311yescharacteristic
1344#107C22×D4311yescharacteristic
1345#106—431no—
1346#106—431no—
1347#106—431no—
1348#106—431no—
1349#106—431no—
1350#106C22×D4311yescharacteristic
1351C4⋊C8—431no—
1352C4⋊C8—431no—
1353C4⋊C8—431no—
1354C4⋊C8C22×D4311yescharacteristic
1355#103—431no—
1356#103—431no—
1357#103—431no—
1358#103—431no—
1359#103—431no—
1360#103—431no—
1361#103—431no—
1362#103—431no—
1363#103—431no—
1364#103—431no—
1365#103—431no—
1366#103—431no—
1367#103—431no—
1368#103—431no—
1369#103—431no—
1370#103—431no—
1371#103—431no—
1372#103C22×D4311yescharacteristic
1373#103C22×D4311yescharacteristic
1374#103C22×D4311yescharacteristic
1375#102—431no—
1376#102—431no—
1377#102—431no—
1378#102—431no—
1379#102—431no—
1380#102—431no—
1381#102—431no—
1382#102—431no—
1383#102—431no—
1384#102—431no—
1385#102—431no—
1386#102—431no—
1387#102—431no—
1388#102C22×D4311yescharacteristic
1389#102C22×D4311yescharacteristic
1390#102C22×D4311yescharacteristic
1391#102C22×D4311yescharacteristic
1392#102C22×D4311yescharacteristic
1393#102C22×D4311yescharacteristic
1394#102C22×D4311yescharacteristic
1395C22⋊C8—431no—
1396C22⋊C8—431no—
1397C22⋊C8—431no—
1398C22⋊C8—431no—
1399C22⋊C8—431no—
1400C22⋊C8—431no—
1401C22⋊C8C22×D4311yescharacteristic
1402C22⋊C8C22×D4311yescharacteristic
1403#97—431no—
1404#97—431no—
1405C4×C8—431no—
1406C4×C8C22×D4311yescharacteristic
1407C24—21no—
1408C24—431no—
1409C24—861no—
1410C24—861no—
1411#41—22no—
1412#41—41no—
1413#41—862no—
1414#41—862no—
1415#41—862no—
1416#41—862no—
1417#41—862no—
1418#41—862no—
1419#41—862no—
1420#41—862no—
1421#41—862no—
1422#41—862no—
1423#41—862no—
1424#41—3442no—
1425#41—3442no—
1426#41—1721no—
1427#41—1721no—
1428#41—1724no—
1429#41—1721no—
1430#41—1721no—
1431#41—1724no—
1432#41—1721no—
1433#41—1724no—
1434C2×Q8—431no—
1435C2×Q8—431no—
1436C2×Q8—431no—
1437C2×Q8—431no—
1438C2×Q8—861no—
1439C2×Q8—861no—
1440C2×Q8—862no—
1441C2×Q8—862no—
1442C2×Q8—861no—
1443C2×Q8C23×D4311yescharacteristic
1444C2×D4—22no—
1445C2×D4—21no—
1446C2×D4—21no—
1447C2×D4—21no—
1448C2×D4—21no—
1449C2×D4—21no—
1450C2×D4—41no—
1451C2×D4—434no—
1452C2×D4—431no—
1453C2×D4—431no—
1454C2×D4—431no—
1455C2×D4—431no—
1456C2×D4—431no—
1457C2×D4—431no—
1458C2×D4—431no—
1459C2×D4—861no—
1460C2×D4—862no—
1461C2×D4—861no—
1462C2×D4—861no—
1463C2×D4—862no—
1464C2×D4—861no—
1465C2×D4—861no—
1466C2×D4—861no—
1467C2×D4—861no—
1468C2×D4—861no—
1469C2×D4—861no—
1470C2×D4—861no—
1471C2×D4—861no—
1472C2×D4—861no—
1473C2×D4—1721no—
1474C2×D4—1724no—
1475C2×D4—1724no—
1476C2×D4—1724no—
1477C2×D4—1724no—
1478C2×D4D4×D4311yescharacteristic
1479C2×D4C23×D4311yescharacteristic
1480C2×D4C23×D4311yescharacteristic
1481C2×D4C23×D4311yescharacteristic
1482C22×C4—21no—
1483C22×C4—21no—
1484C22×C4—21no—
1485C22×C4—21no—
1486C22×C4—431no—
1487C22×C4—431no—
1488C22×C4—431no—
1489C22×C4—431no—
1490C22×C4—431no—
1491C22×C4—431no—
1492C22×C4—862no—
1493C22×C4—862no—
1494C22×C4—861no—
1495C22×C4—861no—
1496C22×C4—861no—
1497C22×C4—861no—
1498C22×C4—861no—
1499C22×C4—861no—
1500C22×C4—861no—
1501C22×C4—861no—
1502C22×C4—861no—
1503C22×C4—861no—
1504C22×C4—861no—
1505C22×C4—861no—
1506C22×C4—861no—
1507C22×C4—861no—
1508C22×C4—861no—
1509C22×C4—861no—
1510C22×C4—861no—
1511C22×C4—861no—
1512C22×C4—861no—
1513C22×C4—3442no—
1514C22×C4—1724no—
1515C22×C4C23×D4311yescharacteristic
1516C22×C4C23×D4311yescharacteristic
1517Q16—1721no—
1518Q16—1721no—
1519Q16—1721no—
1520SD16—41no—
1521SD16—862no—
1522SD16—862no—
1523SD16—1721no—
1524SD16—1721no—
1525SD16—1721no—
1526D8—22no—
1527D8—41no—
1528D8—862no—
1529M16—41no—
1530M16—41no—
1531M16—862no—
1532M16—862no—
1533M16—1721no—
1534M16—1721no—
1535M16—1721no—
1536M16—1721no—
1537C2×C8—431no—
1538C2×C8—431no—
1539C2×C8—431no—
1540C2×C8—431no—
1541C2×C8—862no—
1542C2×C8—862no—
1543C2×C8—1721no—
1544C2×C8—1721no—
1545C2×C8C23×D4311yescharacteristic
1546C2×C8C23×D4311yescharacteristic
1547C2×C8C23×D4311yescharacteristic
1548C2×C8C23×D4311yescharacteristic
1549C4⋊C4—21no—
1550C4⋊C4—21no—
1551C4⋊C4—21no—
1552C4⋊C4—21no—
1553C4⋊C4—431no—
1554C4⋊C4—431no—
1555C4⋊C4—431no—
1556C4⋊C4—431no—
1557C4⋊C4—431no—
1558C4⋊C4—431no—
1559C4⋊C4—431no—
1560C4⋊C4—431no—
1561C4⋊C4—431no—
1562C4⋊C4—861no—
1563C4⋊C4—861no—
1564C4⋊C4—861no—
1565C4⋊C4—861no—
1566C4⋊C4—861no—
1567C4⋊C4—861no—
1568C4⋊C4—861no—
1569C4⋊C4—861no—
1570C4⋊C4—861no—
1571C4⋊C4—861no—
1572C4⋊C4—861no—
1573C4⋊C4—861no—
1574C4⋊C4—861no—
1575C4⋊C4—861no—
1576C4⋊C4—861no—
1577C4⋊C4—861no—
1578C4⋊C4—861no—
1579C4⋊C4—861no—
1580C4⋊C4—861no—
1581C4⋊C4—861no—
1582C4⋊C4—861no—
1583C4⋊C4—861no—
1584C4⋊C4—861no—
1585C4⋊C4—861no—
1586C4⋊C4—861no—
1587C4⋊C4—861no—
1588C4⋊C4D4×D4311yescharacteristic
1589C4⋊C4C23×D4311yescharacteristic
1590C4⋊C4C23×D4311yescharacteristic
1591C4⋊C4C23×D4311yescharacteristic
1592C4⋊C4C23×D4311yescharacteristic
1593C22⋊C4—21no—
1594C22⋊C4—21no—
1595C22⋊C4—21no—
1596C22⋊C4—21no—
1597C22⋊C4—21no—
1598C22⋊C4—21no—
1599C22⋊C4—21no—
1600C22⋊C4—21no—
1601C22⋊C4—21no—
1602C22⋊C4—431no—
1603C22⋊C4—431no—
1604C22⋊C4—431no—
1605C22⋊C4—431no—
1606C22⋊C4—431no—
1607C22⋊C4—431no—
1608C22⋊C4—431no—
1609C22⋊C4—431no—
1610C22⋊C4—861no—
1611C22⋊C4—861no—
1612C22⋊C4—861no—
1613C22⋊C4—861no—
1614C22⋊C4—861no—
1615C22⋊C4—861no—
1616C22⋊C4—861no—
1617C22⋊C4—861no—
1618C22⋊C4—861no—
1619C22⋊C4—861no—
1620C22⋊C4—861no—
1621C22⋊C4—861no—
1622C22⋊C4—861no—
1623C22⋊C4—861no—
1624C22⋊C4—861no—
1625C22⋊C4—861no—
1626C22⋊C4—861no—
1627C22⋊C4—861no—
1628C22⋊C4—861no—
1629C22⋊C4—861no—
1630C22⋊C4—861no—
1631C22⋊C4D4×D4311yescharacteristic
1632C22⋊C4D4×D4311yescharacteristic
1633C42—21no—
1634C42—431no—
1635C42—861no—
1636C42—861no—
1637C42—861no—
1638C42—861no—
1639C42—861no—
1640C42C23×D4311yescharacteristic
1641C23—21no—
1642C23—21no—
1643C23—21no—
1644C23—42no—
1645C23—81no—
1646C23—81no—
1647C23—431no—
1648C23—431no—
1649C23—431no—
1650C23—864no—
1651C23—862no—
1652C23—861no—
1653C23—3441no—
1654C23—3441no—
1655C23—3441no—
1656C23—3441no—
1657C23—1721no—
1658C23—1721no—
1659C23—1722no—
1660C23C2×D4×D4311yescharacteristic
1661C23C2×D4×D4311yescharacteristic
1662Q8—21no—
1663Q8—21no—
1664Q8—862no—
1665Q8—861no—
1666Q8—861no—
1667Q8—861no—
1668Q8—861no—
1669Q8—861no—
1670Q8—861no—
1671Q8—3441no—
1672Q8—3441no—
1673Q8—1722no—
1674D4—21no—
1675D4—21no—
1676D4—21no—
1677D4—21no—
1678D4—21no—
1679D4—41no—
1680D4—42no—
1681D4—42no—
1682D4—42no—
1683D4—81no—
1684D4—81no—
1685D4—432no—
1686D4—862no—
1687D4—864no—
1688D4—862no—
1689D4—862no—
1690D4—861no—
1691D4—3441no—
1692D4—3441no—
1693D4—1721no—
1694D4—1722no—
1695D4—1721no—
1696D4—1721no—
1697D4—1722no—
1698D4—1722no—
1699D4—1722no—
1700D4—1722no—
1701D4—1722no—
1702D4—1722no—
1703D4—1722no—
1704D4—1722no—
1705D4#41×D4312yes—
1706C2×C4—21no—
1707C2×C4—21no—
1708C2×C4—21no—
1709C2×C4—21no—
1710C2×C4—21no—
1711C2×C4—21no—
1712C2×C4—21no—
1713C2×C4—21no—
1714C2×C4—21no—
1715C2×C4—42no—
1716C2×C4—81no—
1717C2×C4—81no—
1718C2×C4—81no—
1719C2×C4—431no—
1720C2×C4—432no—
1721C2×C4—432no—
1722C2×C4—431no—
1723C2×C4—431no—
1724C2×C4—431no—
1725C2×C4—431no—
1726C2×C4—862no—
1727C2×C4—862no—
1728C2×C4—862no—
1729C2×C4—861no—
1730C2×C4—861no—
1731C2×C4—861no—
1732C2×C4—861no—
1733C2×C4—861no—
1734C2×C4—861no—
1735C2×C4—861no—
1736C2×C4—861no—
1737C2×C4—861no—
1738C2×C4—861no—
1739C2×C4—861no—
1740C2×C4—3441no—
1741C2×C4—3441no—
1742C2×C4—3441no—
1743C2×C4—3441no—
1744C2×C4—3441no—
1745C2×C4—3441no—
1746C2×C4—3441no—
1747C2×C4—3441no—
1748C2×C4—3441no—
1749C2×C4—1722no—
1750C2×C4—1722no—
1751C2×C4—1722no—
1752C2×C4—1722no—
1753C2×C4—1722no—
1754C2×C4—1722no—
1755C2×C4—1722no—
1756C2×C4—1722no—
1757C2×C4—1722no—
1758C2×C4—1722no—
1759C2×C4C2×D4×D4311yescharacteristic
1760C2×C4C2×D4×D4311yescharacteristic
1761C2×C4C2×D4×D4311yescharacteristic
1762C2×C4C2×D4×D4311yescharacteristic
1763C2×C4C24×D4311yescharacteristic
1764C8—21no—
1765C8—21no—
1766C8—21no—
1767C8—21no—
1768C8—861no—
1769C8—861no—
1770C8—861no—
1771C8—861no—
1772C22—21no—
1773C22—21no—
1774C22—22no—
1775C22—21no—
1776C22—21no—
1777C22—21no—
1778C22—21no—
1779C22—41no—
1780C22—41no—
1781C22—41no—
1782C22—41no—
1783C22—41no—
1784C22—41no—
1785C22—41no—
1786C22—41no—
1787C22—162no—
1788C22—432no—
1789C22—861no—
1790C22—861no—
1791C22—861no—
1792C22—861no—
1793C22—862no—
1794C22—861no—
1795C22—861no—
1796C22—861no—
1797C22—861no—
1798C22—3444no—
1799C22—1724no—
1800C22—1721no—
1801C22—1721no—
1802C22—6882no—
1803C22C22×D4×D4311yescharacteristic
1804C4—21no—
1805C4—21no—
1806C4—21no—
1807C4—21no—
1808C4—41no—
1809C4—41no—
1810C4—41no—
1811C4—41no—
1812C4—41no—
1813C4—432no—
1814C4—861no—
1815C4—861no—
1816C4—861no—
1817C4—861no—
1818C4—1721no—
1819C4—1721no—
1820C4—1721no—
1821C4—1721no—
1822C4—1721no—
1823C4—1721no—
1824C4—1721no—
1825C4C2×#41×D4311yescharacteristic
1826C4H(5,𝔽2)×D4311yescharacteristic
1827C2—41no—
1828C2—41no—
1829C2—42no—
1830C2—81no—
1831C2—81no—
1832C2—862no—
1833C2—1721no—
1834C2—1721no—
1835C2—1722no—
1836C2#546×D4311yescharacteristic
1837C2#1914937011yescharacteristic
1838C2#1914937911yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3322C2
socleC22×C43C23×D4
hypercenter#3322D43
hypocenterC43#61177
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3322

Complements

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

NH ≅ G/Ntype
1. #19148299C2semidirect
2. #19148232C2semidirect
3. #19146912C2semidirect
4. #19146907C2semidirect
5. #19146902C2semidirect
6. #19146895C2semidirect
7. #19146810C2semidirect
8. #19146807C2semidirect
9. #19146791C2semidirect
10. #19146689C2semidirect
11. #19146688C2semidirect
12. #19146679C2semidirect
13. #19146676C2semidirect
14. #19146565C2semidirect
15. #19146564C2semidirect
16. #19146563C2semidirect
17. #19146560C2semidirect
18. #19144959C2semidirect
19. #19144561C2semidirect
20. #19144514C2semidirect
21. #19144425C2semidirect
22. #19144281C2semidirect
23. #19144202C2semidirect
24. #19144146C2semidirect
25. #19143894C2semidirect
26. #19143833C2semidirect
27. #19143420C2semidirect
28. #19143295C2semidirect
29. #19143120C2semidirect
30. #417×D43C2semidirect
31. C43×#3322C2semidirect
34. C2×#13063354C22semidirect
38. C2×M16×D43C22semidirect
40. #14583606C22semidirect
41. #14583604C22semidirect
42. #14583601C22semidirect
44. #14583588C22semidirect
45. #14583587C22semidirect
48. #14583554C22semidirect
52. #14583549C22semidirect
61. #14583529C22semidirect
71. #14583409C22semidirect
77. #14583378C22semidirect
79. C2×C4⋊C4×D43C22semidirect
80. #14583269C22semidirect
81. #14583266C22semidirect
82. #14583258C22semidirect
83. #14583257C22semidirect
84. #14583252C22semidirect
85. #14583250C22semidirect
86. #14583248C22semidirect
87. #14583243C22semidirect
88. #14583240C22semidirect
89. #14583238C22semidirect
90. #14583236C22semidirect
91. #14583236C22semidirect
92. #14583236C22semidirect
93. #14583232C22semidirect
94. #14583230C22semidirect
95. #14583230C22semidirect
96. #14583229C22semidirect
97. #14583228C22semidirect
98. #14583216C22semidirect
99. #14583216C22semidirect
100. #14583210C22semidirect
101. #14583201C22semidirect
102. #14583198C22semidirect
103. #14583196C22semidirect
104. #14583190C22semidirect
105. #14583187C22semidirect
106. #14583179C22semidirect
107. #14583178C22semidirect
108. #14583158C22semidirect
109. #14583157C22semidirect
110. #14583157C22semidirect
111. #14583156C22semidirect
112. #14583149C22semidirect
113. #14583144C22semidirect
114. #14583144C22semidirect
115. #14583144C22semidirect
116. #14583143C22semidirect
117. #14583143C22semidirect
118. #14583141C22semidirect
119. #14583138C22semidirect
120. #14583126C22semidirect
121. #14583125C22semidirect
122. #14583120C22semidirect
123. #14583118C22semidirect
124. #14583112C22semidirect
125. #14583110C22semidirect
126. #14583108C22semidirect
127. #14583104C22semidirect
128. #14583102C22semidirect
129. #14583064C22semidirect
130. #14583063C22semidirect
131. #14583063C22semidirect
132. #14583062C22semidirect
133. #14583062C22semidirect
134. #14583061C22semidirect
135. #14583051C22semidirect
136. #14583050C22semidirect
137. #14583043C22semidirect
138. #14583042C22semidirect
139. #14583042C22semidirect
140. #14583041C22semidirect
141. #14583041C22semidirect
142. #14583031C22semidirect
143. #14583011C22semidirect
144. #14583009C22semidirect
145. #14582999C22semidirect
146. #14582998C22semidirect
147. #14582990C22semidirect
148. C4×#10621873C22semidirect
149. #14582979C22semidirect
150. #14582978C22semidirect
151. #14582975C22semidirect
152. #14582975C22semidirect
153. #14582973C22semidirect
154. #14582971C22semidirect
155. #14582969C22semidirect
156. #14582967C22semidirect
157. #14582940C22semidirect
158. #14582940C22semidirect
159. #14582934C22semidirect
160. #14582924C22semidirect
161. #14582906C22semidirect
163. #14582902C22semidirect
164. #14582901C22semidirect
165. #14582901C22semidirect
166. #14582900C22semidirect
167. #14582899C22semidirect
168. #14582899C22semidirect
169. #14582898C22semidirect
172. #14582897C22semidirect
173. #14582897C22semidirect
174. #14582897C22semidirect
175. #14582893C22semidirect
177. #14582892C22semidirect
178. #14582892C22semidirect
179. #103×D43C22semidirect
180. #103×D43C22semidirect
181. C2×#13063246C22semidirect
184. #102×D43C22semidirect
186. #14582861C22semidirect
187. #14582853C22semidirect
188. C43×#553C22semidirect
190. C43×#488C22semidirect
191. C43×#485C22semidirect
192. C43×#480C22semidirect
193. C43×#478C22semidirect
194. C43×#469C22semidirect
195. C43×#468C22semidirect
196. C43×#463C22semidirect
197. C43×#449C22semidirect
198. C43×#447C22semidirect
199. C4×D8×C43C22semidirect
200. C43×#436C22semidirect
201. C43×#418C22semidirect
202. C43×#417C22semidirect
557. D4×D43#41semidirect
917. #3322D43semidirect
963. #553C2×D43semidirect
1006. #488C2×D43semidirect
1012. #485C2×D43semidirect
1024. #480C2×D43semidirect
1028. #478C2×D43semidirect
1038. #469C2×D43semidirect
1044. #468C2×D43semidirect
1052. #463C2×D43semidirect
1070. #449C2×D43semidirect
1072. #447C2×D43semidirect
1080. C4×D8C2×D43semidirect
1084. #436C2×D43semidirect
1096. #418C2×D43semidirect
1108. #417C2×D43semidirect
1122. C43#61177semidirect

Maximal subgroups

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

subgroupindex
#191482992
#191482322
#191469122
#191469072
#191469022
#191468952
#191468102
#191468072
#191467912
#191466892
#191466882
#191466792
#191466762
#191465652
#191465642
#191465632
#191465602
#191449592
#191445612
#191445142
#191444252
#191442812
#191442022
#191441462
#191438942
#191438332
#191434202
#191432952
#191431202
#417×D432
C43×#33222
#6117743