Finite Group Databasebeta

← #25973721

Subgroups — #25973721

Order 11008.

2124 conjugacy classes of subgroups.

The subgroup lattice has 1824 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#552×D43C211yesmaximal, characteristic, complemented
2#19148084C211yesmaximal, characteristic
3#19146868C211yesmaximal, characteristic, complemented
4#19146860C211yesmaximal, characteristic, complemented
5#19146818C211yesmaximal, characteristic, complemented
6#19146810C211yesmaximal, characteristic, complemented
7#19146725C211yesmaximal, characteristic, complemented
8#19146717C211yesmaximal, characteristic, complemented
9#19146697C211yesmaximal, characteristic, complemented
10#19146689C211yesmaximal, characteristic, complemented
11#19146650C211yesmaximal, characteristic, complemented
12#19146642C211yesmaximal, characteristic, complemented
13#19146622C211yesmaximal, characteristic, complemented
14#19146614C211yesmaximal, characteristic, complemented
15#19146482C211yesmaximal, characteristic, complemented
16#19146432C211yesmaximal, characteristic, complemented
17#19146424C211yesmaximal, characteristic, complemented
18#19144992C211yesmaximal, characteristic, complemented
19#19144527C211yesmaximal, characteristic, complemented
20#19144514C211yesmaximal, characteristic, complemented
21#19144414C211yesmaximal, characteristic, complemented
22#19144222C211yesmaximal, characteristic, complemented
23#19144218C211yesmaximal, characteristic, complemented
24#19144065C211yesmaximal, characteristic, complemented
25#19143854C211yesmaximal, characteristic, complemented
26#19143852C211yesmaximal, characteristic, complemented
27C4×#13063357C211yesmaximal, characteristic, complemented
28D4×#10621872C211yesmaximal, characteristic, complemented
29#19143110C211yesmaximal, characteristic, complemented
30C2×#14582899C211yesmaximal, characteristic, complemented
31C43×#3300C211yesmaximal, characteristic, complemented
32C22×#10621902C2211yescharacteristic
33C2×#41×D43C2211yescharacteristic
34C2×#13063357C2211yescharacteristic
35C2×#13063357C2211yescharacteristic, complemented
36C2×#13063354C2211yescharacteristic, complemented
37C22×#10621872C2211yescharacteristic, complemented
38C22×#10621872C2211yescharacteristic, complemented
39#14583591C2211yescharacteristic
40#14583590C2211yescharacteristic, complemented
41#14583589C2211yescharacteristic, complemented
42#14583588C2211yescharacteristic, complemented
43#14583587C2211yescharacteristic, complemented
44#14583586—21no—
45#14583585—21no—
46#14583584C2211yescharacteristic
47#14583583C2211yescharacteristic, complemented
48#14583582—21no—
49#14583581—21no—
50#14583568C2211yescharacteristic
51Q8×C22⋊D43C2211yescharacteristic
52#14583561C2211yescharacteristic
53#14583551—21no—
54#14583551C2211yescharacteristic
55#14583545—21no—
56#14583545C2211yescharacteristic
57#14583542—21no—
58#14583542C2211yescharacteristic
59#14583533—21no—
60#14583533C2211yescharacteristic
61#14583448—21no—
62#14583448C2211yescharacteristic
63#126×D43—21no—
64#125×D43—21no—
65#125×D43C2211yescharacteristic, complemented
66#14583412—21no—
67#14583412C2211yescharacteristic
68#14583409—21no—
69#14583409C2211yescharacteristic
70#123×D43—21no—
71C22⋊Q8×D43C2211yescharacteristic, complemented
72C22⋊Q8×D43C2211yescharacteristic, complemented
73C4×#10621902C2211yescharacteristic
74C4×Q8×D43C2211yescharacteristic, complemented
75C4×D4×D43—21no—
76C4×D4×D43C2211yescharacteristic
77#117×D43—21no—
78#117×D43C2211yescharacteristic, complemented
79C2×C4⋊C4×D43C2211yescharacteristic, complemented
80#14583266C2211yescharacteristic, complemented
81#14583266C2211yescharacteristic, complemented
82#14583262C2211yescharacteristic, complemented
83#14583262C2211yescharacteristic, complemented
84#14583256C2211yescharacteristic, complemented
85#14583254C2211yescharacteristic, complemented
86#14583253C2211yescharacteristic, complemented
87#14583239C2211yescharacteristic, complemented
88#14583238C2211yescharacteristic, complemented
89#14583237C2211yescharacteristic, complemented
90#14583236C2211yescharacteristic, complemented
91#14583236C2211yescharacteristic, complemented
92#14583230C2211yescharacteristic, complemented
93#14583229C2211yescharacteristic, complemented
94#14583226C2211yescharacteristic, complemented
95#14583225C2211yescharacteristic, complemented
96#14583224C2211yescharacteristic, complemented
97#14583223C2211yescharacteristic, complemented
98#14583216C2211yescharacteristic, complemented
99#14583216C2211yescharacteristic, complemented
100#14583210C2211yescharacteristic, complemented
101#14583208C2211yescharacteristic, complemented
102#14583206C2211yescharacteristic, complemented
103#14583204C2211yescharacteristic, complemented
104#14583202C2211yescharacteristic, complemented
105#14583200C2211yescharacteristic, complemented
106#14583198C2211yescharacteristic, complemented
107#14583196C2211yescharacteristic, complemented
108#14583158C2211yescharacteristic, complemented
109#14583156C2211yescharacteristic, complemented
110#14583156C2211yescharacteristic, complemented
111#14583154C2211yescharacteristic, complemented
112#14583148C2211yescharacteristic, complemented
113#14583146C2211yescharacteristic, complemented
114#14583144C2211yescharacteristic, complemented
115#14583142C2211yescharacteristic, complemented
116#14583140C2211yescharacteristic, complemented
117#14583138C2211yescharacteristic, complemented
118#14583138C2211yescharacteristic, complemented
119#14583130C2211yescharacteristic, complemented
120#14583128C2211yescharacteristic, complemented
121#14583126C2211yescharacteristic, complemented
122#14583122C2211yescharacteristic, complemented
123#14583121C2211yescharacteristic, complemented
124#14583118C2211yescharacteristic, complemented
125#14583108C2211yescharacteristic, complemented
126#14583107C2211yescharacteristic, complemented
127#14583098C2211yescharacteristic, complemented
128#14583097C2211yescharacteristic, complemented
129#14583064C2211yescharacteristic, complemented
130#14583064C2211yescharacteristic, complemented
131#14583063C2211yescharacteristic, complemented
132#14583061C2211yescharacteristic, complemented
133#14583060C2211yescharacteristic, complemented
134#14583060C2211yescharacteristic, complemented
135#14583059C2211yescharacteristic, complemented
136#14583056C2211yescharacteristic, complemented
137#14583055C2211yescharacteristic, complemented
138#14583053C2211yescharacteristic, complemented
139#14583052C2211yescharacteristic, complemented
140#14583051C2211yescharacteristic, complemented
141#14583049C2211yescharacteristic, complemented
142#14583048C2211yescharacteristic, complemented
143#14583006C2211yescharacteristic, complemented
144#14583003C2211yescharacteristic, complemented
145#14583002C2211yescharacteristic, complemented
146#14582998C2211yescharacteristic, complemented
147C4×#10621885C2211yescharacteristic, complemented
148C4×#10621873C2211yescharacteristic, complemented
149C4×#10621884C2211yescharacteristic, complemented
150#14582978C2211yescharacteristic, complemented
151#14582976C2211yescharacteristic, complemented
152#14582970C2211yescharacteristic
153#14582970C2211yescharacteristic, complemented
154#14582967C2211yescharacteristic
155#14582967C2211yescharacteristic, complemented
156D4×C43⋊C8C2211yescharacteristic, complemented
157#14582940C2211yescharacteristic, complemented
158#14582940C2211yescharacteristic, complemented
159#14582938C2211yescharacteristic, complemented
160#14582921C2211yescharacteristic, complemented
161#14582906C2211yescharacteristic, complemented
162#14582906C2211yescharacteristic, complemented
163#14582906C2211yescharacteristic, complemented
164#14582902C2211yescharacteristic, complemented
165#14582902C2211yescharacteristic, complemented
166#14582899C2211yescharacteristic
167#14582899C2211yescharacteristic
168#14582899C2211yescharacteristic
169#14582899C2211yescharacteristic, complemented
170#14582899C2211yescharacteristic, complemented
171#14582899C2211yescharacteristic, complemented
172#14582899C2211yescharacteristic, complemented
173#14582899C2211yescharacteristic, complemented
174#14582899C2211yescharacteristic, complemented
175#14582899C2211yescharacteristic, complemented
176#14582897C2211yescharacteristic, complemented
177#14582897C2211yescharacteristic, complemented
178#14582897C2211yescharacteristic, complemented
179#14582896C2211yescharacteristic, complemented
180#14582895C2211yescharacteristic, complemented
181#14582893C2211yescharacteristic, complemented
182C2×#13063249C2211yescharacteristic, complemented
183C2×#13063247C2211yescharacteristic, complemented
184C2×#13063245C2211yescharacteristic, complemented
185#14582861C2211yescharacteristic, complemented
186#14582861C2211yescharacteristic, complemented
187C4×#10621872C2211yescharacteristic, complemented
188C43×#552C2211yescharacteristic, complemented
189C43×#548C2211yescharacteristic
190C43×#488C2211yescharacteristic, complemented
191C43×#485C2211yescharacteristic, complemented
192C43×#480C2211yescharacteristic, complemented
193C43×#479C2211yescharacteristic, complemented
194C43×#467C2211yescharacteristic, complemented
195C43×#465C2211yescharacteristic, complemented
196C43×#464C2211yescharacteristic, complemented
197C43×#452C2211yescharacteristic, complemented
198C43×#451C2211yescharacteristic, complemented
199C4×Q16×C43C2211yescharacteristic, complemented
200C8×D4×C43C2211yescharacteristic, complemented
201C43×#416C2211yescharacteristic, complemented
202C2×#103×C43C2211yescharacteristic, complemented
203C2×#10621902—21no—
204C2×#10621902—21no—
205C2×#10621902—24no—
206C2×#10621902—42no—
207C2×#10621902C2311yescharacteristic
208C2×#10621902C2311yescharacteristic
209C2×#10621902C2311yescharacteristic
210C2×#10621902C2311yescharacteristic
211C2×#10621898—21no—
212C2×#10621898C2311yescharacteristic
213C2×#10621900—21no—
214C2×#10621900C2311yescharacteristic
215#41×D43—24no—
216#41×D43—42no—
217C2×Q8×D43C2311yescharacteristic
218C2×Q8×D43C2311yescharacteristic
219C22×D172—21no—
220C22×D172C2311yescharacteristic
221C2×D4×D43—21no—
222C2×D4×D43—21no—
223C2×D4×D43D411yescharacteristic
224C2×D4×D43C2311yescharacteristic
225C22×C4×D43—21no—
226C22×C4×D43—21no—
227C22×C4×D43—21no—
228C22×C4×D43C2311yescharacteristic
229C22×C4×D43C2311yescharacteristic
230#13063357—24no—
231#13063357—42no—
232#13063354—42no—
233C2×Dic172C2311yescharacteristic
234C2×#10621885C2311yescharacteristic
235C2×#10621885C2311yescharacteristic
236C2×#10621885C2311yescharacteristic
237C2×#10621873C2311yescharacteristic
238C2×#10621873C2311yescharacteristic
239C2×#10621883C2311yescharacteristic
240C2×#10621884C2311yescharacteristic
241C2×#10621884C2311yescharacteristic
242C2×#10621872—42no—
243C2×#10621872—42no—
244C2×#10621872C2311yescharacteristic
245C2×#10621872C2311yescharacteristic
246C2×#10621872C2311yescharacteristic
247C2×#10621872C2311yescharacteristic
248C2×#10621872C2311yescharacteristic
249C2×#10621872C2311yescharacteristic
250C2×#10621872C2311yescharacteristic
251C2×#10621872C2311yescharacteristic
252C22×C43⋊C8C2311yescharacteristic
253C22×C43⋊C8C2311yescharacteristic
254#13063323—21no—
255#13063323C2311yescharacteristic
256#13063321—21no—
257#13063321C2311yescharacteristic
258#13063320—21no—
259#13063320—21no—
260#13063320—21no—
261#13063319—21no—
262#13063318—21no—
263#13063318—21no—
264#13063318—21no—
265#13063317—21no—
266#13063317C2311yescharacteristic
267#13063316—21no—
268#13063316—21no—
269#13063316C2311yescharacteristic
270#13063316C2311yescharacteristic
271#13063315—21no—
272#13063315—21no—
273#13063315—21no—
274#13063315—21no—
275#13063315—21no—
276#13063315—21no—
277#13063313—21no—
278#13063313C2311yescharacteristic
279#13063310—21no—
280#13063310—21no—
281#13063310—21no—
282#13063310—21no—
283#13063310—21no—
284#13063309—21no—
285#13063308—21no—
286#13063307—21no—
287#13063307—21no—
288#13063307—21no—
289#13063307—21no—
290#13063307—21no—
291#13063306—21no—
292#13063305—21no—
293#13063305C2311yescharacteristic
294#13063305C2311yescharacteristic
295#13063305C2311yescharacteristic
296#13063304—21no—
297#13063304C2311yescharacteristic
298#13063304C2311yescharacteristic
299#13063304C2311yescharacteristic
300#13063303—21no—
301#13063303—21no—
302#13063302—21no—
303#13063302—21no—
304#13063301—21no—
305#13063301C2311yescharacteristic
306#13063301C2311yescharacteristic
307#13063301C2311yescharacteristic
308#13063300—21no—
309#13063300C2311yescharacteristic
310#13063299—21no—
311#13063299C2311yescharacteristic
312#13063298—21no—
313#13063298—21no—
314#13063298—21no—
315#13063298—21no—
316#13063298—21no—
317#13063298—21no—
318#13063296—21no—
319#13063296C2311yescharacteristic
320#13063295—21no—
321#13063295—21no—
322#13063295—21no—
323#13063293—21no—
324#13063293—21no—
325#13063293—21no—
326Q8×Dic43C2311yescharacteristic
327Q8×Dic43C2311yescharacteristic
328C4×Dic86—21no—
329C4×Dic86C2311yescharacteristic
330#13063290—21no—
331#13063290C2311yescharacteristic
332C4×D172—21no—
333C4×D172—21no—
334C4×D172C2311yescharacteristic
335C4×D172C2311yescharacteristic
336D4×Dic43—21no—
337D4×Dic43D411yescharacteristic
338#13063287—21no—
339#13063287—21no—
340#13063287D411yescharacteristic
341#13063287C2311yescharacteristic
342C4×C22⋊D43—21no—
343C4×C22⋊D43—21no—
344C4×C22⋊D43C2311yescharacteristic
345C4×C22⋊D43C2311yescharacteristic
346(C22⋊D43)⋊C4—21no—
347(C22⋊D43)⋊C4—21no—
348(C22⋊D43)⋊C4—21no—
349(C22⋊D43)⋊C4—21no—
350(C22⋊D43)⋊C4D411yescharacteristic
351(C22⋊D43)⋊C4D411yescharacteristic
352#13063284—21no—
353#13063284C2311yescharacteristic
354#13063283—21no—
355#13063283—21no—
356#13063283—21no—
357#13063283C2311yescharacteristic
358#13063283C2311yescharacteristic
359#13063283C2311yescharacteristic
360#13063282—21no—
361#13063282—21no—
362#13063282—21no—
363#13063281—21no—
364#13063281—21no—
365#13063281—21no—
366C2×C4⋊Dic43C2311yescharacteristic
367C2×Dic43⋊C4—21no—
368C4⋊C4×D43—21no—
369C4⋊C4×D43—21no—
370C4⋊C4×D43—21no—
371C4⋊C4×D43—21no—
372C4⋊C4×D43—21no—
373C4⋊C4×D43—21no—
374C4⋊C4×D43—21no—
375C4⋊C4×D43—21no—
376C4⋊C4×D43D411yescharacteristic
377C4⋊C4×D43C2311yescharacteristic
378C4⋊C4×D43C2311yescharacteristic
379C4⋊C4×D43C2311yescharacteristic
380C4⋊C4×D43C2311yescharacteristic
381C4⋊C4×D43C2311yescharacteristic
382C22⋊C4×D43—21no—
383C22⋊C4×D43—21no—
384C22⋊C4×D43—21no—
385C22⋊C4×D43—21no—
386C22⋊C4×D43—21no—
387C22⋊C4×D43D411yescharacteristic
388C22⋊C4×D43D411yescharacteristic
389C42×D43—21no—
390C42×D43—21no—
391C42×D43—21no—
392C42×D43C2311yescharacteristic
393#13063259C2311yescharacteristic
394#13063258C2311yescharacteristic
395#13063258C2311yescharacteristic
396#13063258C2311yescharacteristic
397#13063257C2311yescharacteristic
398#13063257C2311yescharacteristic
399#13063256C2311yescharacteristic
400#13063256C2311yescharacteristic
401#13063256C2311yescharacteristic
402C4⋊(C43⋊C8)C2311yescharacteristic
403Dic43⋊C8C2311yescharacteristic
404Dic43⋊C8C2311yescharacteristic
405#13063250C2311yescharacteristic
406#13063250C2311yescharacteristic
407#13063250C2311yescharacteristic
408#13063250C2311yescharacteristic
409#13063249C2311yescharacteristic
410#13063249C2311yescharacteristic
411#13063249C2311yescharacteristic
412#13063249C2311yescharacteristic
413#13063249C2311yescharacteristic
414#13063249C2311yescharacteristic
415#13063249C2311yescharacteristic
416#13063248C2311yescharacteristic
417#13063248C2311yescharacteristic
418#13063248C2311yescharacteristic
419#13063248C2311yescharacteristic
420#13063247C2311yescharacteristic
421#13063247C2311yescharacteristic
422#13063247C2311yescharacteristic
423#13063247C2311yescharacteristic
424#13063247C2311yescharacteristic
425#13063247C2311yescharacteristic
426#13063246C2311yescharacteristic
427#13063246C2311yescharacteristic
428#13063246C2311yescharacteristic
429#13063245C2311yescharacteristic
430#13063245C2311yescharacteristic
431#13063245C2311yescharacteristic
432#13063245C2311yescharacteristic
433#13063245C2311yescharacteristic
434#13063245C2311yescharacteristic
435C22⋊(C43⋊C8)C2311yescharacteristic
436C22⋊(C43⋊C8)C2311yescharacteristic
437(C2×D43)⋊C8C2311yescharacteristic
438(C2×D43)⋊C8C2311yescharacteristic
439(C2×D43)⋊C8C2311yescharacteristic
440(C2×D43)⋊C8C2311yescharacteristic
441#13063235C2311yescharacteristic
442#13063235C2311yescharacteristic
443C4×C43⋊C8C2311yescharacteristic
444C2×#41×C43C2311yescharacteristic
445C22×Q8×C43C2311yescharacteristic
446C2×Q16×C43C2311yescharacteristic
447C2×Q16×C43C2311yescharacteristic
448C2×SD16×C43C2311yescharacteristic
449C22×C8×C43C2311yescharacteristic
450C22×C8×C43C2311yescharacteristic
451#126×C43—21no—
452#125×C43—21no—
453#125×C43C2311yescharacteristic
454#124×C43—21no—
455#124×C43C2311yescharacteristic
456#123×C43—21no—
457C22⋊Q8×C43—21no—
458C22⋊Q8×C43C2311yescharacteristic
459C22⋊Q8×C43C2311yescharacteristic
460C22⋊Q8×C43C2311yescharacteristic
461#121×C43—21no—
462#121×C43C2311yescharacteristic
463C4×Q8×C43C2311yescharacteristic
464C4×Q8×C43C2311yescharacteristic
465C4×D4×C43—21no—
466C4×D4×C43C2311yescharacteristic
467#117×C43—21no—
468#117×C43C2311yescharacteristic
469C2×C4⋊C4×C43C2311yescharacteristic
470#107×C43C2311yescharacteristic
471#107×C43C2311yescharacteristic
472#106×C43C2311yescharacteristic
473C4⋊C8×C43C2311yescharacteristic
474#103×C43C2311yescharacteristic
475#103×C43C2311yescharacteristic
476#103×C43C2311yescharacteristic
477#103×C43C2311yescharacteristic
478#103×C43C2311yescharacteristic
479#103×C43C2311yescharacteristic
480#103×C43C2311yescharacteristic
481#102×C43C2311yescharacteristic
482#102×C43C2311yescharacteristic
483#102×C43C2311yescharacteristic
484C22⋊C8×C43C2311yescharacteristic
485C22⋊C8×C43C2311yescharacteristic
486C4×C8×C43C2311yescharacteristic
487C23×D43—21no—
488C23×D43—21no—
489C23×D43C2×D411yescharacteristic
490C23×D43C2×D411yescharacteristic
491#41×C43—22no—
492#41×C43—41no—
493C2×Q8×C43—21no—
494C2×Q8×C43—22no—
495C2×Q8×C43—41no—
496C2×Q8×C43C2411yescharacteristic
497C2×Q8×C43C2411yescharacteristic
498C2×Q8×C43C2411yescharacteristic
499C2×D4×C43—21no—
500C2×D4×C43—21no—
501C2×D4×C43C2×D411yescharacteristic
502C2×D4×C43C2411yescharacteristic
503C22×C4×C43—21no—
504C22×C4×C43—21no—
505C22×C4×C43—21no—
506C22×C4×C43C2411yescharacteristic
507C22×C4×C43C2411yescharacteristic
508C2×C22⋊D43—21no—
509C2×C22⋊D43—21no—
510C2×C22⋊D43—21no—
511C2×C22⋊D43—21no—
512C2×C22⋊D43—21no—
513C2×C22⋊D43—21no—
514C2×C22⋊D43—21no—
515C2×C22⋊D43C2×D411yescharacteristic
516C2×C22⋊D43C2×D411yescharacteristic
517C22×Dic43—21no—
518C22×Dic43—21no—
519C22×Dic43C2×D411yescharacteristic
520C22×Dic43C2×D411yescharacteristic
521#10621902—22no—
522#10621902—22no—
523#10621902—22no—
524#10621902—22no—
525#10621902—22no—
526#10621902—44no—
527#10621902—41no—
528#10621902—41no—
529#10621902—44no—
530#10621902#4114yes—
531Q8×D43—22no—
532Q8×D43—22no—
533Q8×D43—22no—
534Q8×D43—41no—
535#10621900—22no—
536#10621900—22no—
537#10621900—44no—
538D4×D43—22no—
539D4×D43—44no—
540D4×D43—42no—
541D4×D43—41no—
542D4×D43—44no—
543#10621898—22no—
544#10621898—41no—
545#10621898—44no—
546C2×D172—21no—
547C2×D172—21no—
548C2×D172—21no—
549C2×D172—21no—
550C2×D172—21no—
551C2×D172—21no—
552C2×D172—22no—
553C2×D172—44no—
554C2×D172—41no—
555C2×D172C2×D411yescharacteristic
556C2×D172C2411yescharacteristic
557C2×D172C2411yescharacteristic
558C2×C4×D43—21no—
559C2×C4×D43—22no—
560C2×C4×D43—22no—
561C2×C4×D43—22no—
562C2×C4×D43—22no—
563C2×C4×D43—21no—
564C2×C4×D43—21no—
565C2×C4×D43—21no—
566C2×C4×D43—21no—
567C2×C4×D43—21no—
568C2×C4×D43—21no—
569C2×C4×D43—21no—
570C2×C4×D43—21no—
571C2×C4×D43—21no—
572C2×C4×D43—21no—
573C2×C4×D43—21no—
574C2×C4×D43—21no—
575C2×C4×D43—21no—
576C2×C4×D43—44no—
577C2×C4×D43—44no—
578C2×C4×D43—44no—
579C2×C4×D43C2×D411yescharacteristic
580C2×C4×D43C2×D411yescharacteristic
581C2×C4×D43C2×D411yescharacteristic
582C2×C4×D43C2×D411yescharacteristic
583C2×C4×D43C2×D411yescharacteristic
584C2×C4×D43C2×D411yescharacteristic
585C2×C4×D43C2411yescharacteristic
586C2×C4×D43C2411yescharacteristic
587C2×C4×D43C2411yescharacteristic
588C2×Dic86—21no—
589C2×Dic86—21no—
590C2×Dic86C2411yescharacteristic
591C2×Dic86C2411yescharacteristic
592Q16×C43—22no—
593Q16×C43—41no—
594SD16×C43—41no—
595C2×C8×C43—41no—
596C2×C8×C43—41no—
597C2×C8×C43C2411yescharacteristic
598C2×C8×C43C2411yescharacteristic
599C2×C8×C43C2411yescharacteristic
600C2×C8×C43C2411yescharacteristic
601C4⋊C4×C43—21no—
602C4⋊C4×C43—21no—
603C4⋊C4×C43—21no—
604C4⋊C4×C43—21no—
605C4⋊C4×C43—21no—
606C4⋊C4×C43—21no—
607C4⋊C4×C43—21no—
608C4⋊C4×C43—21no—
609C4⋊C4×C43C2×D411yescharacteristic
610C4⋊C4×C43C2411yescharacteristic
611C4⋊C4×C43C2411yescharacteristic
612C4⋊C4×C43C2411yescharacteristic
613C4⋊C4×C43C2411yescharacteristic
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×C43C2×D411yescharacteristic
622C22⋊C4×C43C2×D411yescharacteristic
623C42×C43—21no—
624C42×C43—21no—
625C42×C43—21no—
626C42×C43C2411yescharacteristic
627C22⋊Dic43—21no—
628C22⋊Dic43—21no—
629C22⋊Dic43—21no—
630C22⋊Dic43—21no—
631C22⋊Dic43—21no—
632C22⋊Dic43C2×D411yescharacteristic
633C22⋊Dic43C2×D411yescharacteristic
634#10621885—22no—
635#10621885—41no—
636#10621885—41no—
637#10621884—22no—
638#10621884—41no—
639#10621883—41no—
640(C2×D43)⋊C4—21no—
641(C2×D43)⋊C4—21no—
642(C2×D43)⋊C4—21no—
643(C2×D43)⋊C4—21no—
644(C2×D43)⋊C4—21no—
645(C2×D43)⋊C4—21no—
646(C2×D43)⋊C4—21no—
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)⋊C4C2×D411yescharacteristic
656(C2×D43)⋊C4C2×D411yescharacteristic
657(C2×D43)⋊C4C2×D411yescharacteristic
658(C2×D43)⋊C4C2×D411yescharacteristic
659C4⋊Dic43—21no—
660C4⋊Dic43—21no—
661C4⋊Dic43—21no—
662C4⋊Dic43—21no—
663C4⋊Dic43—21no—
664C4⋊Dic43—21no—
665C4⋊Dic43—21no—
666C4⋊Dic43—21no—
667C4⋊Dic43C2×D411yescharacteristic
668C4⋊Dic43C2411yescharacteristic
669C4⋊Dic43C2411yescharacteristic
670C4⋊Dic43C2411yescharacteristic
671C4⋊Dic43C2411yescharacteristic
672Dic43⋊C4—21no—
673Dic43⋊C4—21no—
674Dic43⋊C4—21no—
675Dic43⋊C4—21no—
676Dic43⋊C4—21no—
677Dic43⋊C4—21no—
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⋊C4C2×D411yescharacteristic
692Dic43⋊C4C2×D411yescharacteristic
693C4×Dic43—21no—
694C4×Dic43—21no—
695C4×Dic43—21no—
696C4×Dic43—21no—
697C4×Dic43—21no—
698C4×Dic43—21no—
699C4×Dic43—21no—
700C4×Dic43—21no—
701C4×Dic43C2×D411yescharacteristic
702C4×Dic43C2×D411yescharacteristic
703C4×Dic43C2411yescharacteristic
704C2×C43⋊C8—41no—
705C2×C43⋊C8—41no—
706C2×C43⋊C8C2411yescharacteristic
707C2×C43⋊C8C2411yescharacteristic
708C2×C43⋊C8C2411yescharacteristic
709C2×C43⋊C8C2411yescharacteristic
710Dic172—41no—
711#10621873—22no—
712#10621873—41no—
713#10621872—22no—
714#10621872—22no—
715#10621872—22no—
716#10621872—22no—
717#10621872—41no—
718#10621872—41no—
719#10621872—41no—
720#10621872—41no—
721C23×C43—21no—
722C23×C43C22×D411yescharacteristic
723C23×C43C22×D411yescharacteristic
724C22×D43—22no—
725C22×D43—21no—
726C22×D43—22no—
727C22×D43—22no—
728C22×D43—21no—
729C22×D43—41no—
730C22×D43—41no—
731C22×D43—41no—
732C22×D43—42no—
733C22×D43—42no—
734C22×D43—42no—
735C22×D43—42no—
736C22×D43—81no—
737C22×D43—81no—
738C22×D43C22×D411yescharacteristic
739C22×D43C22×D411yescharacteristic
740C22×D43C22×D411yescharacteristic
741Q8×C43—21no—
742Q8×C43—21no—
743Q8×C43—21no—
744Q8×C43—21no—
745Q8×C43—21no—
746Q8×C43—42no—
747Q8×C43C2×#4112yes—
748D4×C43—22no—
749D4×C43—21no—
750D4×C43—21no—
751D4×C43—42no—
752D4×C43—42no—
753C2×C4×C43—21no—
754C2×C4×C43—21no—
755C2×C4×C43—21no—
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—42no—
765C2×C4×C43—42no—
766C2×C4×C43—42no—
767C2×C4×C43C22×D411yescharacteristic
768C2×C4×C43C22×D411yescharacteristic
769C2×C4×C43C22×D411yescharacteristic
770C2×C4×C43C22×D411yescharacteristic
771C2×C4×C43C2511yescharacteristic
772C22⋊D43—22no—
773C22⋊D43—41no—
774C22⋊D43—42no—
775C22⋊D43—42no—
776C22⋊D43—42no—
777C22⋊D43—42no—
778C22⋊D43—81no—
779C22⋊D43—81no—
780C22⋊D43—81no—
781C2×Dic43—22no—
782C2×Dic43—22no—
783C2×Dic43—21no—
784C2×Dic43—21no—
785C2×Dic43—21no—
786C2×Dic43—21no—
787C2×Dic43—21no—
788C2×Dic43—21no—
789C2×Dic43—42no—
790C2×Dic43—42no—
791C2×Dic43C22×D411yescharacteristic
792C2×Dic43C22×D411yescharacteristic
793C2×Dic43C22×D411yescharacteristic
794C2×Dic43C22×D411yescharacteristic
795C2×Dic43C22×D411yescharacteristic
796D172—24no—
797D172—21no—
798D172—21no—
799D172—21no—
800D172—41no—
801D172—42no—
802D172—42no—
803D172—42no—
804D172—42no—
805D172—42no—
806D172C2×#4112yes—
807C4×D43—22no—
808C4×D43—22no—
809C4×D43—21no—
810C4×D43—21no—
811C4×D43—21no—
812C4×D43—21no—
813C4×D43—22no—
814C4×D43—22no—
815C4×D43—24no—
816C4×D43—41no—
817C4×D43—41no—
818C4×D43—42no—
819C4×D43—42no—
820C4×D43—42no—
821C4×D43—42no—
822C4×D43—42no—
823C4×D43—42no—
824C4×D43—42no—
825C4×D43—42no—
826C4×D43—42no—
827C4×D43—42no—
828C4×D43—42no—
829C4×D43—42no—
830C4×D43—81no—
831C4×D43C2×#4112yes—
832C4×D43H(5,𝔽2)12yes—
833Dic86—21no—
834Dic86—21no—
835Dic86—21no—
836Dic86—21no—
837Dic86—42no—
838Dic86—42no—
839C8×C43—21no—
840C8×C43—21no—
841C8×C43—21no—
842C8×C43—21no—
843C43⋊C8—21no—
844C43⋊C8—21no—
845C43⋊C8—21no—
846C43⋊C8—21no—
847#61163—431nomaximal, Sylow
848C22×C43—21no—
849C22×C43—21no—
850C22×C43—21no—
851C22×C43—21no—
852C22×C43—21no—
853C22×C43—41no—
854C22×C43—41no—
855C22×C43—41no—
856C22×C43#57512yes—
857C22×C43C23×D411yescharacteristic
858C2×D43—21no—
859C2×D43—21no—
860C2×D43—21no—
861C2×D43—21no—
862C2×D43—21no—
863C2×D43—21no—
864C2×D43—22no—
865C2×D43—21no—
866C2×D43—21no—
867C2×D43—44no—
868C2×D43—41no—
869C2×D43—41no—
870C2×D43—41no—
871C2×D43—41no—
872C2×D43—41no—
873C2×D43—82no—
874C2×D43—84no—
875C2×D43—84no—
876C2×D43#54612yes—
877C4×C43—21no—
878C4×C43—22no—
879C4×C43—21no—
880C4×C43—21no—
881C4×C43—21no—
882C4×C43—41no—
883C4×C43—41no—
884C4×C43—41no—
885C4×C43—41no—
886C4×C43—41no—
887C4×C43—41no—
888C4×C43C22×#4111yescharacteristic
889C4×C43C2×H(5,𝔽2)11yescharacteristic
890Dic43—21no—
891Dic43—21no—
892Dic43—21no—
893Dic43—21no—
894Dic43—41no—
895Dic43—41no—
896Dic43—41no—
897Dic43—41no—
898Dic43—41no—
899Dic43—41no—
900Dic43#54612yes—
901C2×#552—431no—
902D4×#41—431no—
903#3327—431no—
904#3327—431no—
905#3323—431no—
906#3323—431no—
907#3317—431no—
908#3317—431no—
909#3315—431no—
910#3315—431no—
911#3312—431no—
912#3312—431no—
913#3310—431no—
914#3310—431no—
915#3300—431no—
916#3300D4311yescharacteristic, complemented
917#3296—431no—
918#3296—431no—
919#3142—431no—
920#3093—431no—
921#3092—431no—
922#3080—431no—
923#3056—431no—
924#3056—431no—
925#3037—431no—
926#3007—431no—
927#3007—431no—
928C4×#137—431no—
929D4×M16—431no—
930#2896—431no—
931C2×#417—431no—
932C2×C43—22no—
933C2×C43—41no—
934C2×C43—81no—
935C2×C43C2×#54611yescharacteristic
936C2×C43C2×#57511yescharacteristic
937C2×C43#358611yescharacteristic
938D43—22no—
939D43—41no—
940D43—41no—
941D43—42no—
942D43—81no—
943C22×#41—431no—
944C22×#41—431no—
945C2×#137—431no—
946C2×#137—431no—
947C2×#137—431no—
948C22×M16—431no—
949C22×M16—431no—
950#552—431no—
951#552—431no—
952#552—431no—
953#552—431no—
954#552—431no—
955#552—431no—
956#552—431no—
957#552—861no—
958#552—861no—
959#552—861no—
960#552—861no—
961#552C2×D4311yescharacteristic, complemented
962#550—431no—
963D4×Q8—431no—
964#548—431no—
965#548C2×D4311yescharacteristic
966#547—431no—
967#547—861no—
968#546—431no—
969#546—431no—
970#546—861no—
971#546—861no—
972D42—431no—
973D42—861no—
974#532—431no—
975#532—861no—
976C2×#126—861no—
977C2×#125—431no—
978C2×#125—861no—
979#525—431no—
980#525—431no—
981#525—861no—
982#525—861no—
983C2×#123—861no—
984C2×C22⋊Q8—431no—
985C2×C22⋊Q8—431no—
986C4×#41—431no—
987C2×C4×Q8—431no—
988C2×C4×D4—431no—
989C2×C4×D4—861no—
990C2×#117—431no—
991C2×#117—861no—
992C22×C4⋊C4—431no—
993#491—431no—
994#491—431no—
995#490—431no—
996#490—431no—
997#488—431no—
998#488—431no—
999#488—431no—
1000#488C2×D4311yescharacteristic, complemented
1001#485—431no—
1002#485—431no—
1003#485—431no—
1004#485C2×D4311yescharacteristic, complemented
1005#484—431no—
1006#484—431no—
1007#483—431no—
1008#483—431no—
1009#482—431no—
1010#482—431no—
1011#482—431no—
1012#482—431no—
1013#481—431no—
1014#481—431no—
1015#480—431no—
1016#480C2×D4311yescharacteristic, complemented
1017#479—431no—
1018#479—431no—
1019#479—431no—
1020#479C2×D4311yescharacteristic, complemented
1021#478—431no—
1022#478—431no—
1023#478—431no—
1024#478—431no—
1025#470—431no—
1026#470—431no—
1027#470—431no—
1028#470—431no—
1029#468—431no—
1030#468—431no—
1031#468—431no—
1032#468—431no—
1033#467—431no—
1034#467—431no—
1035#467—431no—
1036#467C2×D4311yescharacteristic, complemented
1037#465—431no—
1038#465—431no—
1039#465—431no—
1040#465C2×D4311yescharacteristic, complemented
1041#464—431no—
1042#464—431no—
1043#464—431no—
1044#464C2×D4311yescharacteristic, complemented
1045#462—431no—
1046#462—431no—
1047#460—431no—
1048#460—431no—
1049#452—431no—
1050#452—431no—
1051#452—431no—
1052#452—431no—
1053#452—431no—
1054#452—431no—
1055#452—431no—
1056#452C2×D4311yescharacteristic, complemented
1057#451—431no—
1058#451—431no—
1059#451—431no—
1060#451C2×D4311yescharacteristic, complemented
1061#450—431no—
1062#450—431no—
1063#450—431no—
1064#450—431no—
1065#441—431no—
1066#441—431no—
1067#440—431no—
1068#440—431no—
1069C4×Q16—431no—
1070C4×Q16C2×D4311yescharacteristic, complemented
1071C4×SD16—431no—
1072C4×SD16—431no—
1073#436—431no—
1074#436—431no—
1075#435—431no—
1076#435—431no—
1077#435—431no—
1078#435—431no—
1079C8×D4—431no—
1080C8×D4C2×D4311yescharacteristic, complemented
1081#428—431no—
1082#428—431no—
1083#428—431no—
1084#423—431no—
1085#419—431no—
1086#419—431no—
1087#419—431no—
1088#418—431no—
1089#418—431no—
1090#417—431no—
1091#417—431no—
1092#417—431no—
1093#417—431no—
1094#417—431no—
1095#417—431no—
1096#417—431no—
1097#417—431no—
1098#417—431no—
1099#417—431no—
1100#417—431no—
1101#417—431no—
1102#417—431no—
1103#416—431no—
1104#416—431no—
1105#416—431no—
1106#416C2×D4311yescharacteristic, complemented
1107C2×#103—431no—
1108C2×#103C2×D4311yescharacteristic, complemented
1109C2×#102—431no—
1110C2×#102—431no—
1111#407—431no—
1112#407—431no—
1113C4×M16—431no—
1114C43#6116311yescharacteristic, complemented, Sylow
1115C2×#41—431no—
1116C2×#41—431no—
1117C2×#41—431no—
1118C2×#41—431no—
1119C2×#41—431no—
1120C2×#41—431no—
1121C2×#41—861no—
1122C2×#41—861no—
1123C2×#41—861no—
1124C2×#41—861no—
1125C2×#41—864no—
1126C2×#41—864no—
1127C2×#41—1722no—
1128C2×#41—1722no—
1129C2×#41C22×D4311yescharacteristic
1130C22×Q8—431no—
1131C22×Q8—431no—
1132C22×Q8C22×D4311yescharacteristic
1133C22×D4—431no—
1134C22×D4—431no—
1135C22×D4—431no—
1136C22×D4—861no—
1137C22×D4—861no—
1138C22×D4—861no—
1139C23×C4—431no—
1140C23×C4—431no—
1141C23×C4—861no—
1142C23×C4—861no—
1143C23×C4—861no—
1144#137—864no—
1145#137—1722no—
1146#137—1722no—
1147C2×Q16—431no—
1148C2×Q16—431no—
1149C2×Q16—431no—
1150C2×Q16—431no—
1151C2×Q16C22×D4311yescharacteristic
1152C2×Q16C22×D4311yescharacteristic
1153C2×SD16—431no—
1154C2×SD16—431no—
1155C2×SD16—431no—
1156C2×SD16—431no—
1157C2×SD16—431no—
1158C2×SD16C22×D4311yescharacteristic
1159C2×M16—431no—
1160C2×M16—431no—
1161C2×M16—431no—
1162C2×M16—431no—
1163C2×M16—431no—
1164C2×M16—431no—
1165C2×M16—431no—
1166C2×M16—431no—
1167C2×M16—1722no—
1168C2×M16—1722no—
1169C22×C8—431no—
1170C22×C8—431no—
1171C22×C8C22×D4311yescharacteristic
1172C22×C8C22×D4311yescharacteristic
1173C4⋊Q8—431no—
1174C4⋊Q8—861no—
1175#127—431no—
1176#127—861no—
1177#126—21no—
1178#126—861no—
1179#126—861no—
1180#126—861no—
1181#126—861no—
1182#126—861no—
1183#126—861no—
1184#126—861no—
1185#125—21no—
1186#125—431no—
1187#125—431no—
1188#125—431no—
1189#125—861no—
1190#125—861no—
1191#125—861no—
1192#125—861no—
1193#125—861no—
1194#125—861no—
1195#125—861no—
1196#125—861no—
1197#125—861no—
1198#125C22×D4311yescharacteristic
1199#124—21no—
1200#124—431no—
1201#124—861no—
1202#124C22×D4311yescharacteristic
1203#123—21no—
1204#123—861no—
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—
1217C22⋊Q8—21no—
1218C22⋊Q8—431no—
1219C22⋊Q8—431no—
1220C22⋊Q8—431no—
1221C22⋊Q8—431no—
1222C22⋊Q8—431no—
1223C22⋊Q8—431no—
1224C22⋊Q8—431no—
1225C22⋊Q8—431no—
1226C22⋊Q8—431no—
1227C22⋊Q8—861no—
1228C22⋊Q8—861no—
1229C22⋊Q8—861no—
1230C22⋊Q8—861no—
1231C22⋊Q8—861no—
1232C22⋊Q8—861no—
1233C22⋊Q8—861no—
1234C22⋊Q8C22×D4311yescharacteristic
1235C22⋊Q8C22×D4311yescharacteristic
1236C22⋊Q8C22×D4311yescharacteristic
1237#121—21no—
1238#121—431no—
1239#121—431no—
1240#121—431no—
1241#121—861no—
1242#121—861no—
1243#121—861no—
1244#121—861no—
1245#121—861no—
1246#121—861no—
1247#121—861no—
1248#121—861no—
1249#121—861no—
1250#121C22×D4311yescharacteristic
1251#120—861no—
1252#120—861no—
1253#120—861no—
1254#120—861no—
1255#120—861no—
1256#120—861no—
1257C4×Q8—431no—
1258C4×Q8—431no—
1259C4×Q8—431no—
1260C4×Q8—431no—
1261C4×Q8—861no—
1262C4×Q8—861no—
1263C4×Q8C22×D4311yescharacteristic
1264C4×Q8C22×D4311yescharacteristic
1265C4×D4—21no—
1266C4×D4—431no—
1267C4×D4—431no—
1268C4×D4—431no—
1269C4×D4—431no—
1270C4×D4—431no—
1271C4×D4—431no—
1272C4×D4—431no—
1273C4×D4—431no—
1274C4×D4—431no—
1275C4×D4—861no—
1276C4×D4—861no—
1277C4×D4—861no—
1278C4×D4—861no—
1279C4×D4—861no—
1280C4×D4—861no—
1281C4×D4—861no—
1282C4×D4—861no—
1283C4×D4—861no—
1284C4×D4—861no—
1285C4×D4—861no—
1286C4×D4C22×D4311yescharacteristic
1287#117—21no—
1288#117—431no—
1289#117—431no—
1290#117—431no—
1291#117—431no—
1292#117—861no—
1293#117—861no—
1294#117—861no—
1295#117—861no—
1296#117—861no—
1297#117—861no—
1298#117—861no—
1299#117—861no—
1300#117—861no—
1301#117—861no—
1302#117C22×D4311yescharacteristic
1303C2×C4⋊C4—431no—
1304C2×C4⋊C4—431no—
1305C2×C4⋊C4—431no—
1306C2×C4⋊C4—431no—
1307C2×C4⋊C4—431no—
1308C2×C4⋊C4—431no—
1309C2×C4⋊C4—431no—
1310C2×C4⋊C4—861no—
1311C2×C4⋊C4—861no—
1312C2×C4⋊C4—861no—
1313C2×C4⋊C4—861no—
1314C2×C4⋊C4—861no—
1315C2×C4⋊C4—861no—
1316C2×C4⋊C4—861no—
1317C2×C4⋊C4—861no—
1318C2×C4⋊C4—861no—
1319C2×C4⋊C4C22×D4311yescharacteristic
1320C2×C22⋊C4—431no—
1321C2×C22⋊C4—431no—
1322C2×C22⋊C4—861no—
1323C2×C22⋊C4—861no—
1324C2×C22⋊C4—861no—
1325C2×C22⋊C4—861no—
1326C2×C22⋊C4—861no—
1327C2×C42—431no—
1328C2×C42—861no—
1329C2×C42—861no—
1330C2×C42—861no—
1331#107—431no—
1332#107—431no—
1333#107—431no—
1334#107—431no—
1335#107C22×D4311yescharacteristic
1336#107C22×D4311yescharacteristic
1337#106—431no—
1338#106—431no—
1339#106—431no—
1340#106—431no—
1341#106—431no—
1342#106C22×D4311yescharacteristic
1343C4⋊C8—431no—
1344C4⋊C8—431no—
1345C4⋊C8—431no—
1346C4⋊C8C22×D4311yescharacteristic
1347#103—431no—
1348#103—431no—
1349#103—431no—
1350#103—431no—
1351#103—431no—
1352#103—431no—
1353#103—431no—
1354#103—431no—
1355#103—431no—
1356#103—431no—
1357#103—431no—
1358#103—431no—
1359#103—431no—
1360#103—431no—
1361#103—431no—
1362#103C22×D4311yescharacteristic
1363#103C22×D4311yescharacteristic
1364#103C22×D4311yescharacteristic
1365#103C22×D4311yescharacteristic
1366#103C22×D4311yescharacteristic
1367#103C22×D4311yescharacteristic
1368#103C22×D4311yescharacteristic
1369#102—431no—
1370#102—431no—
1371#102—431no—
1372#102—431no—
1373#102—431no—
1374#102—431no—
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#102C22×D4311yescharacteristic
1385#102C22×D4311yescharacteristic
1386#102C22×D4311yescharacteristic
1387C22⋊C8—431no—
1388C22⋊C8—431no—
1389C22⋊C8—431no—
1390C22⋊C8—431no—
1391C22⋊C8—431no—
1392C22⋊C8—431no—
1393C22⋊C8C22×D4311yescharacteristic
1394C22⋊C8C22×D4311yescharacteristic
1395#97—431no—
1396#97—431no—
1397C4×C8—431no—
1398C4×C8C22×D4311yescharacteristic
1399C24—431no—
1400C24—431no—
1401C24—861no—
1402C24—861no—
1403#41—22no—
1404#41—41no—
1405#41—434no—
1406#41—862no—
1407#41—862no—
1408#41—862no—
1409#41—862no—
1410#41—862no—
1411#41—862no—
1412#41—862no—
1413#41—862no—
1414#41—1721no—
1415#41—1724no—
1416#41—1724no—
1417#41—1724no—
1418#41—1721no—
1419#41—1721no—
1420#41—1724no—
1421C2×Q8—21no—
1422C2×Q8—22no—
1423C2×Q8—41no—
1424C2×Q8—431no—
1425C2×Q8—431no—
1426C2×Q8—861no—
1427C2×Q8—861no—
1428C2×Q8—862no—
1429C2×Q8—862no—
1430C2×Q8—862no—
1431C2×Q8—1721no—
1432C2×Q8C23×D4311yescharacteristic
1433C2×Q8C23×D4311yescharacteristic
1434C2×Q8C23×D4311yescharacteristic
1435C2×D4—21no—
1436C2×D4—21no—
1437C2×D4—431no—
1438C2×D4—431no—
1439C2×D4—431no—
1440C2×D4—431no—
1441C2×D4—431no—
1442C2×D4—862no—
1443C2×D4—861no—
1444C2×D4—861no—
1445C2×D4—861no—
1446C2×D4—861no—
1447C2×D4—861no—
1448C2×D4—861no—
1449C2×D4—861no—
1450C2×D4—861no—
1451C2×D4—862no—
1452C2×D4—861no—
1453C2×D4—861no—
1454C2×D4—861no—
1455C2×D4—861no—
1456C2×D4—861no—
1457C2×D4—1721no—
1458C2×D4—1724no—
1459C2×D4—1721no—
1460C2×D4—1722no—
1461C2×D4—1724no—
1462C2×D4—1724no—
1463C2×D4D4×D4311yescharacteristic
1464C2×D4C23×D4311yescharacteristic
1465C22×C4—21no—
1466C22×C4—21no—
1467C22×C4—21no—
1468C22×C4—431no—
1469C22×C4—431no—
1470C22×C4—431no—
1471C22×C4—431no—
1472C22×C4—431no—
1473C22×C4—431no—
1474C22×C4—431no—
1475C22×C4—431no—
1476C22×C4—431no—
1477C22×C4—431no—
1478C22×C4—431no—
1479C22×C4—861no—
1480C22×C4—862no—
1481C22×C4—862no—
1482C22×C4—862no—
1483C22×C4—862no—
1484C22×C4—861no—
1485C22×C4—861no—
1486C22×C4—861no—
1487C22×C4—861no—
1488C22×C4—861no—
1489C22×C4—861no—
1490C22×C4—861no—
1491C22×C4—861no—
1492C22×C4—861no—
1493C22×C4—861no—
1494C22×C4—861no—
1495C22×C4—861no—
1496C22×C4—861no—
1497C22×C4—861no—
1498C22×C4—861no—
1499C22×C4—1724no—
1500C22×C4—1724no—
1501C22×C4—1724no—
1502C22×C4C23×D4311yescharacteristic
1503C22×C4C23×D4311yescharacteristic
1504Q16—22no—
1505Q16—41no—
1506Q16—862no—
1507Q16—1721no—
1508Q16—1721no—
1509Q16—1721no—
1510SD16—41no—
1511SD16—862no—
1512SD16—862no—
1513SD16—1721no—
1514SD16—1721no—
1515SD16—1721no—
1516M16—862no—
1517M16—862no—
1518M16—862no—
1519M16—862no—
1520M16—1721no—
1521M16—1721no—
1522M16—1721no—
1523M16—1721no—
1524C2×C8—41no—
1525C2×C8—41no—
1526C2×C8—431no—
1527C2×C8—431no—
1528C2×C8—431no—
1529C2×C8—431no—
1530C2×C8—1721no—
1531C2×C8—1721no—
1532C2×C8C23×D4311yescharacteristic
1533C2×C8C23×D4311yescharacteristic
1534C2×C8C23×D4311yescharacteristic
1535C2×C8C23×D4311yescharacteristic
1536C4⋊C4—21no—
1537C4⋊C4—21no—
1538C4⋊C4—21no—
1539C4⋊C4—21no—
1540C4⋊C4—21no—
1541C4⋊C4—21no—
1542C4⋊C4—21no—
1543C4⋊C4—21no—
1544C4⋊C4—431no—
1545C4⋊C4—431no—
1546C4⋊C4—431no—
1547C4⋊C4—431no—
1548C4⋊C4—431no—
1549C4⋊C4—431no—
1550C4⋊C4—431no—
1551C4⋊C4—861no—
1552C4⋊C4—861no—
1553C4⋊C4—861no—
1554C4⋊C4—861no—
1555C4⋊C4—861no—
1556C4⋊C4—861no—
1557C4⋊C4—861no—
1558C4⋊C4—861no—
1559C4⋊C4—861no—
1560C4⋊C4—861no—
1561C4⋊C4—861no—
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⋊C4D4×D4311yescharacteristic
1579C4⋊C4C23×D4311yescharacteristic
1580C4⋊C4C23×D4311yescharacteristic
1581C4⋊C4C23×D4311yescharacteristic
1582C4⋊C4C23×D4311yescharacteristic
1583C22⋊C4—21no—
1584C22⋊C4—21no—
1585C22⋊C4—21no—
1586C22⋊C4—21no—
1587C22⋊C4—21no—
1588C22⋊C4—21no—
1589C22⋊C4—21no—
1590C22⋊C4—431no—
1591C22⋊C4—431no—
1592C22⋊C4—431no—
1593C22⋊C4—431no—
1594C22⋊C4—431no—
1595C22⋊C4—431no—
1596C22⋊C4—861no—
1597C22⋊C4—861no—
1598C22⋊C4—861no—
1599C22⋊C4—861no—
1600C22⋊C4—861no—
1601C22⋊C4—861no—
1602C22⋊C4—861no—
1603C22⋊C4—861no—
1604C22⋊C4—861no—
1605C22⋊C4—861no—
1606C22⋊C4—861no—
1607C22⋊C4—861no—
1608C22⋊C4—861no—
1609C22⋊C4—861no—
1610C22⋊C4—861no—
1611C22⋊C4—861no—
1612C22⋊C4—861no—
1613C22⋊C4—861no—
1614C22⋊C4—861no—
1615C22⋊C4—861no—
1616C22⋊C4D4×D4311yescharacteristic
1617C22⋊C4D4×D4311yescharacteristic
1618C42—21no—
1619C42—21no—
1620C42—21no—
1621C42—431no—
1622C42—431no—
1623C42—431no—
1624C42—861no—
1625C42—861no—
1626C42—861no—
1627C42—861no—
1628C42—861no—
1629C42—861no—
1630C42—861no—
1631C42—861no—
1632C42C23×D4311yescharacteristic
1633C23—21no—
1634C23—431no—
1635C23—431no—
1636C23—431no—
1637C23—862no—
1638C23—862no—
1639C23—862no—
1640C23—861no—
1641C23—861no—
1642C23—3441no—
1643C23—3441no—
1644C23—1721no—
1645C23—1721no—
1646C23—1721no—
1647C23—1722no—
1648C23—1722no—
1649C23—1722no—
1650C23—1722no—
1651C23C2×D4×D4311yescharacteristic
1652C23C2×D4×D4311yescharacteristic
1653Q8—21no—
1654Q8—21no—
1655Q8—21no—
1656Q8—21no—
1657Q8—21no—
1658Q8—42no—
1659Q8—861no—
1660Q8—861no—
1661Q8—861no—
1662Q8—861no—
1663Q8—1722no—
1664Q8—1722no—
1665Q8#41×D4312yes—
1666D4—22no—
1667D4—21no—
1668D4—21no—
1669D4—42no—
1670D4—42no—
1671D4—432no—
1672D4—864no—
1673D4—862no—
1674D4—861no—
1675D4—861no—
1676D4—861no—
1677D4—3441no—
1678D4—3441no—
1679D4—3441no—
1680D4—1721no—
1681D4—1722no—
1682D4—1722no—
1683D4—1722no—
1684D4—1722no—
1685D4—1722no—
1686D4—1721no—
1687D4—1722no—
1688D4—1722no—
1689D4—1722no—
1690D4—1722no—
1691C2×C4—21no—
1692C2×C4—21no—
1693C2×C4—21no—
1694C2×C4—21no—
1695C2×C4—21no—
1696C2×C4—21no—
1697C2×C4—21no—
1698C2×C4—21no—
1699C2×C4—21no—
1700C2×C4—21no—
1701C2×C4—21no—
1702C2×C4—42no—
1703C2×C4—42no—
1704C2×C4—42no—
1705C2×C4—431no—
1706C2×C4—432no—
1707C2×C4—432no—
1708C2×C4—431no—
1709C2×C4—431no—
1710C2×C4—431no—
1711C2×C4—431no—
1712C2×C4—862no—
1713C2×C4—862no—
1714C2×C4—864no—
1715C2×C4—862no—
1716C2×C4—862no—
1717C2×C4—862no—
1718C2×C4—862no—
1719C2×C4—861no—
1720C2×C4—861no—
1721C2×C4—861no—
1722C2×C4—861no—
1723C2×C4—861no—
1724C2×C4—861no—
1725C2×C4—861no—
1726C2×C4—861no—
1727C2×C4—861no—
1728C2×C4—861no—
1729C2×C4—3441no—
1730C2×C4—1721no—
1731C2×C4—1721no—
1732C2×C4—1722no—
1733C2×C4—1722no—
1734C2×C4—1722no—
1735C2×C4—1722no—
1736C2×C4—1722no—
1737C2×C4—1722no—
1738C2×C4—1722no—
1739C2×C4—1722no—
1740C2×C4—1722no—
1741C2×C4—1722no—
1742C2×C4—1722no—
1743C2×C4—1722no—
1744C2×C4—1722no—
1745C2×C4—1722no—
1746C2×C4C2×D4×D4311yescharacteristic
1747C2×C4C2×D4×D4311yescharacteristic
1748C2×C4C2×D4×D4311yescharacteristic
1749C2×C4C2×D4×D4311yescharacteristic
1750C2×C4C24×D4311yescharacteristic
1751C8—21no—
1752C8—21no—
1753C8—21no—
1754C8—21no—
1755C8—861no—
1756C8—861no—
1757C8—861no—
1758C8—861no—
1759C22—21no—
1760C22—21no—
1761C22—21no—
1762C22—21no—
1763C22—21no—
1764C22—41no—
1765C22—41no—
1766C22—41no—
1767C22—432no—
1768C22—861no—
1769C22—861no—
1770C22—861no—
1771C22—861no—
1772C22—862no—
1773C22—861no—
1774C22—861no—
1775C22—861no—
1776C22—861no—
1777C22—3444no—
1778C22—3442no—
1779C22—3444no—
1780C22—1724no—
1781C22—1721no—
1782C22—1721no—
1783C22—1721no—
1784C22—1721no—
1785C22—1721no—
1786C22#1458369612yes—
1787C22C22×D4×D4311yescharacteristic
1788C4—21no—
1789C4—21no—
1790C4—22no—
1791C4—21no—
1792C4—21no—
1793C4—41no—
1794C4—41no—
1795C4—41no—
1796C4—41no—
1797C4—41no—
1798C4—41no—
1799C4—432no—
1800C4—861no—
1801C4—861no—
1802C4—861no—
1803C4—861no—
1804C4—1721no—
1805C4—1721no—
1806C4—1721no—
1807C4—1721no—
1808C4—1721no—
1809C4—1721no—
1810C4C2×#41×D4311yescharacteristic
1811C4H(5,𝔽2)×D4311yescharacteristic
1812C2—22no—
1813C2—41no—
1814C2—81no—
1815C2—862no—
1816C2—3441no—
1817C2—1721no—
1818C2—1721no—
1819C2—1722no—
1820C2#546×D4311yescharacteristic
1821C2C2×#1458369611yescharacteristic
1822C2#1914938011yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3300C2
socleC22×C43C23×D4
prime radical#19148084C2
hypercenter#3300D43
hypocenterC43#61163
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3300

Complements

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

NH ≅ G/Ntype
1. #552×D43C2semidirect
3. #19146868C2semidirect
4. #19146860C2semidirect
5. #19146818C2semidirect
6. #19146810C2semidirect
7. #19146725C2semidirect
8. #19146717C2semidirect
9. #19146697C2semidirect
10. #19146689C2semidirect
11. #19146650C2semidirect
12. #19146642C2semidirect
13. #19146622C2semidirect
14. #19146614C2semidirect
15. #19146482C2semidirect
16. #19146432C2semidirect
17. #19146424C2semidirect
18. #19144992C2semidirect
19. #19144527C2semidirect
20. #19144514C2semidirect
21. #19144414C2semidirect
22. #19144222C2semidirect
23. #19144218C2semidirect
24. #19144065C2semidirect
25. #19143854C2semidirect
26. #19143852C2semidirect
27. C4×#13063357C2semidirect
28. D4×#10621872C2semidirect
29. #19143110C2semidirect
30. C2×#14582899C2semidirect
31. C43×#3300C2semidirect
35. C2×#13063357C22semidirect
36. C2×#13063354C22semidirect
37. C22×#10621872C22semidirect
38. C22×#10621872C22semidirect
40. #14583590C22semidirect
41. #14583589C22semidirect
42. #14583588C22semidirect
43. #14583587C22semidirect
47. #14583583C22semidirect
65. #125×D43C22semidirect
71. C22⋊Q8×D43C22semidirect
72. C22⋊Q8×D43C22semidirect
74. C4×Q8×D43C22semidirect
78. #117×D43C22semidirect
79. C2×C4⋊C4×D43C22semidirect
80. #14583266C22semidirect
81. #14583266C22semidirect
82. #14583262C22semidirect
83. #14583262C22semidirect
84. #14583256C22semidirect
85. #14583254C22semidirect
86. #14583253C22semidirect
87. #14583239C22semidirect
88. #14583238C22semidirect
89. #14583237C22semidirect
90. #14583236C22semidirect
91. #14583236C22semidirect
92. #14583230C22semidirect
93. #14583229C22semidirect
94. #14583226C22semidirect
95. #14583225C22semidirect
96. #14583224C22semidirect
97. #14583223C22semidirect
98. #14583216C22semidirect
99. #14583216C22semidirect
100. #14583210C22semidirect
101. #14583208C22semidirect
102. #14583206C22semidirect
103. #14583204C22semidirect
104. #14583202C22semidirect
105. #14583200C22semidirect
106. #14583198C22semidirect
107. #14583196C22semidirect
108. #14583158C22semidirect
109. #14583156C22semidirect
110. #14583156C22semidirect
111. #14583154C22semidirect
112. #14583148C22semidirect
113. #14583146C22semidirect
114. #14583144C22semidirect
115. #14583142C22semidirect
116. #14583140C22semidirect
117. #14583138C22semidirect
118. #14583138C22semidirect
119. #14583130C22semidirect
120. #14583128C22semidirect
121. #14583126C22semidirect
122. #14583122C22semidirect
123. #14583121C22semidirect
124. #14583118C22semidirect
125. #14583108C22semidirect
126. #14583107C22semidirect
127. #14583098C22semidirect
128. #14583097C22semidirect
129. #14583064C22semidirect
130. #14583064C22semidirect
131. #14583063C22semidirect
132. #14583061C22semidirect
133. #14583060C22semidirect
134. #14583060C22semidirect
135. #14583059C22semidirect
136. #14583056C22semidirect
137. #14583055C22semidirect
138. #14583053C22semidirect
139. #14583052C22semidirect
140. #14583051C22semidirect
141. #14583049C22semidirect
142. #14583048C22semidirect
143. #14583006C22semidirect
144. #14583003C22semidirect
145. #14583002C22semidirect
146. #14582998C22semidirect
147. C4×#10621885C22semidirect
148. C4×#10621873C22semidirect
149. C4×#10621884C22semidirect
150. #14582978C22semidirect
151. #14582976C22semidirect
153. #14582970C22semidirect
155. #14582967C22semidirect
156. D4×C43⋊C8C22semidirect
157. #14582940C22semidirect
158. #14582940C22semidirect
159. #14582938C22semidirect
160. #14582921C22semidirect
161. #14582906C22semidirect
162. #14582906C22semidirect
163. #14582906C22semidirect
164. #14582902C22semidirect
165. #14582902C22semidirect
169. #14582899C22semidirect
170. #14582899C22semidirect
171. #14582899C22semidirect
172. #14582899C22semidirect
173. #14582899C22semidirect
174. #14582899C22semidirect
175. #14582899C22semidirect
176. #14582897C22semidirect
177. #14582897C22semidirect
178. #14582897C22semidirect
179. #14582896C22semidirect
180. #14582895C22semidirect
181. #14582893C22semidirect
182. C2×#13063249C22semidirect
183. C2×#13063247C22semidirect
184. C2×#13063245C22semidirect
185. #14582861C22semidirect
186. #14582861C22semidirect
187. C4×#10621872C22semidirect
188. C43×#552C22semidirect
190. C43×#488C22semidirect
191. C43×#485C22semidirect
192. C43×#480C22semidirect
193. C43×#479C22semidirect
194. C43×#467C22semidirect
195. C43×#465C22semidirect
196. C43×#464C22semidirect
197. C43×#452C22semidirect
198. C43×#451C22semidirect
199. C4×Q16×C43C22semidirect
200. C8×D4×C43C22semidirect
201. C43×#416C22semidirect
202. C2×#103×C43C22semidirect
916. #3300D43semidirect
961. #552C2×D43semidirect
1000. #488C2×D43semidirect
1004. #485C2×D43semidirect
1016. #480C2×D43semidirect
1020. #479C2×D43semidirect
1036. #467C2×D43semidirect
1040. #465C2×D43semidirect
1044. #464C2×D43semidirect
1056. #452C2×D43semidirect
1060. #451C2×D43semidirect
1070. C4×Q16C2×D43semidirect
1080. C8×D4C2×D43semidirect
1106. #416C2×D43semidirect
1108. C2×#103C2×D43semidirect
1114. C43#61163semidirect

Maximal subgroups

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

subgroupindex
#552×D432
#191480842
#191468682
#191468602
#191468182
#191468102
#191467252
#191467172
#191466972
#191466892
#191466502
#191466422
#191466222
#191466142
#191464822
#191464322
#191464242
#191449922
#191445272
#191445142
#191444142
#191442222
#191442182
#191440652
#191438542
#191438522
C4×#130633572
D4×#106218722
#191431102
C2×#145828992
C43×#33002
#6116343