Finite Group Databasebeta

← #25974499

Subgroups — #25974499

Order 11008.

2046 conjugacy classes of subgroups.

The subgroup lattice has 1806 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19148311C211yesmaximal, characteristic, complemented
2#19148274C211yesmaximal, characteristic, complemented
3#19146891C211yesmaximal, characteristic, complemented
4#19146882C211yesmaximal, characteristic, complemented
5#19146814C211yesmaximal, characteristic, complemented
6#19146810C211yesmaximal, characteristic, complemented
7#19146758C211yesmaximal, characteristic, complemented
8#19146757C211yesmaximal, characteristic, complemented
9#19146661C211yesmaximal, characteristic, complemented
10#19146657C211yesmaximal, characteristic, complemented
11#19146643C211yesmaximal, characteristic, complemented
12#19146642C211yesmaximal, characteristic, complemented
13#19146577C211yesmaximal, characteristic, complemented
14#19146565C211yesmaximal, characteristic, complemented
15#19146513C211yesmaximal, characteristic, complemented
16#19146510C211yesmaximal, characteristic, complemented
17#19146490C211yesmaximal, characteristic, complemented
18#19144959C211yesmaximal, characteristic, complemented
19#19144585C211yesmaximal, characteristic, complemented
20#485×D43C211yesmaximal, characteristic, complemented
21#19144449C211yesmaximal, characteristic, complemented
22#19144260C211yesmaximal, characteristic, complemented
23#19144218C211yesmaximal, characteristic, complemented
24#19144146C211yesmaximal, characteristic, complemented
25#19143905C211yesmaximal, characteristic, complemented
26#19143810C211yesmaximal, characteristic, complemented
27#19143473C211yesmaximal, characteristic, complemented
28#19143315C211yesmaximal, characteristic, complemented
29#19143123C211yesmaximal, characteristic, complemented
30#19143110C211yesmaximal, characteristic, complemented
31C43×#3301C211yesmaximal, characteristic, complemented
32C2×#13063373C2211yescharacteristic
33C2×#41×D43C2211yescharacteristic
34C2×#13063354C2211yescharacteristic, complemented
35C2×#13063346C2211yescharacteristic
36C2×#13063344C2211yescharacteristic
37C2×#13063331C2211yescharacteristic, complemented
38C22×#10621872C2211yescharacteristic
39#14583619C2211yescharacteristic, complemented
40#14583617C2211yescharacteristic, complemented
41#14583616—21no—
42#14583614C2211yescharacteristic
43#14583613—21no—
44#14583613C2211yescharacteristic
45#14583598—21no—
46#14583596C2211yescharacteristic, complemented
47#14583587C2211yescharacteristic
48#14583586—21no—
49#14583584C2211yescharacteristic
50Q8×D172C2211yescharacteristic
51Q8×C22⋊D43C2211yescharacteristic
52#14583556C2211yescharacteristic
53#14583554—21no—
54#14583554C2211yescharacteristic
55#14583551—21no—
56#14583551C2211yescharacteristic
57#14583546—21no—
58#14583546C2211yescharacteristic
59#14583542—21no—
60#14583542C2211yescharacteristic
61#14583529C2211yescharacteristic, complemented
62#14583485—21no—
63#14583481—21no—
64#14583478—21no—
65#14583478C2211yescharacteristic
66#14583478C2211yescharacteristic, complemented
67#14583469—21no—
68#14583469C2211yescharacteristic
69#14583432—21no—
70#14583431—21no—
71#14583409C2211yescharacteristic
72#14583408—21no—
73#14583408C2211yescharacteristic
74C22⋊Q8×D43—21no—
75C22⋊Q8×D43C2211yescharacteristic
76#14583381C2211yescharacteristic
77#14583380C2211yescharacteristic, complemented
78#14583378C2211yescharacteristic, complemented
79#117×D43C2211yescharacteristic
80#14583269C2211yescharacteristic, complemented
81#14583266C2211yescharacteristic, complemented
82#14583258C2211yescharacteristic, complemented
83#14583257C2211yescharacteristic, complemented
84#14583252C2211yescharacteristic, complemented
85#14583250C2211yescharacteristic, complemented
86#14583248C2211yescharacteristic, complemented
87#14583243C2211yescharacteristic
88#14583243C2211yescharacteristic, complemented
89#14583242C2211yescharacteristic
90#14583241C2211yescharacteristic, complemented
91#14583241C2211yescharacteristic, complemented
92#14583240C2211yescharacteristic, complemented
93#14583239C2211yescharacteristic
94#14583238C2211yescharacteristic
95#14583237C2211yescharacteristic, complemented
96#14583231C2211yescharacteristic, complemented
97#14583229C2211yescharacteristic, complemented
98#14583221C2211yescharacteristic, complemented
99#14583220C2211yescharacteristic, complemented
100#14583216C2211yescharacteristic, complemented
101#14583208C2211yescharacteristic, complemented
102#14583198C2211yescharacteristic, complemented
103#14583196C2211yescharacteristic, complemented
104#14583194C2211yescharacteristic, complemented
105#14583192C2211yescharacteristic, complemented
106#14583180C2211yescharacteristic, complemented
107#14583178C2211yescharacteristic, complemented
108#14583158C2211yescharacteristic
109#14583156C2211yescharacteristic
110#14583144C2211yescharacteristic
111#14583144C2211yescharacteristic, complemented
112#14583144C2211yescharacteristic, complemented
113#14583143C2211yescharacteristic, complemented
114#14583143C2211yescharacteristic, complemented
115#14583142C2211yescharacteristic
116#14583141C2211yescharacteristic, complemented
117#14583140C2211yescharacteristic, complemented
118#14583140C2211yescharacteristic, complemented
119#14583138C2211yescharacteristic, complemented
120#14583132C2211yescharacteristic, complemented
121#14583126C2211yescharacteristic, 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
131#14583063C2211yescharacteristic, complemented
132#14583061C2211yescharacteristic
133#14583056C2211yescharacteristic
134#14583056C2211yescharacteristic, complemented
135#14583055C2211yescharacteristic, complemented
136#14583051C2211yescharacteristic
137#14583043C2211yescharacteristic, complemented
138#14583042C2211yescharacteristic
139#14583042C2211yescharacteristic, complemented
140#14583036C2211yescharacteristic
141#14583036C2211yescharacteristic, complemented
142#14583031C2211yescharacteristic
143#14583009C2211yescharacteristic, complemented
144#14583008C2211yescharacteristic, complemented
145#14583004C2211yescharacteristic, complemented
146#14583003C2211yescharacteristic, complemented
147C4×#10621873C2211yescharacteristic, complemented
148SD16×Dic43C2211yescharacteristic, complemented
149#14582986C2211yescharacteristic, complemented
150#14582978C2211yescharacteristic
151#14582974C2211yescharacteristic
152#14582971C2211yescharacteristic, complemented
153#14582970C2211yescharacteristic
154#14582970C2211yescharacteristic, complemented
155#14582969C2211yescharacteristic
156(C22⋊D43)⋊C8C2211yescharacteristic, complemented
157#14582938C2211yescharacteristic, complemented
158#107×D43C2211yescharacteristic, complemented
159#106×D43C2211yescharacteristic, complemented
160#14582924C2211yescharacteristic, complemented
161#14582908C2211yescharacteristic, complemented
162#14582906C2211yescharacteristic
163#14582906C2211yescharacteristic
164#14582906C2211yescharacteristic, complemented
165#14582906C2211yescharacteristic, complemented
166#14582902C2211yescharacteristic
167#14582902C2211yescharacteristic
168#14582899C2211yescharacteristic
169#14582899C2211yescharacteristic
170#14582899C2211yescharacteristic, complemented
171#14582898C2211yescharacteristic, complemented
172#14582897C2211yescharacteristic
173#14582897C2211yescharacteristic
174#14582897C2211yescharacteristic, complemented
175#14582896C2211yescharacteristic
176#14582896C2211yescharacteristic, complemented
177#14582895C2211yescharacteristic
178#14582894C2211yescharacteristic
179#14582894C2211yescharacteristic, complemented
180#14582893C2211yescharacteristic
181#14582892C2211yescharacteristic
182#103×D43C2211yescharacteristic, complemented
183#103×D43C2211yescharacteristic, complemented
184#103×D43C2211yescharacteristic, complemented
185#14582864C2211yescharacteristic, complemented
186C22⋊C8×D43C2211yescharacteristic
187#14582853C2211yescharacteristic, complemented
188C43×#553C2211yescharacteristic, complemented
189C43×#548C2211yescharacteristic
190C43×#488C2211yescharacteristic, complemented
191C43×#485C2211yescharacteristic, complemented
192C43×#481C2211yescharacteristic, complemented
193C43×#479C2211yescharacteristic, complemented
194C43×#466C2211yescharacteristic, complemented
195C43×#465C2211yescharacteristic, complemented
196C43×#463C2211yescharacteristic, complemented
197C43×#449C2211yescharacteristic
198C43×#448C2211yescharacteristic, complemented
199C4×SD16×C43C2211yescharacteristic, complemented
200C8×D4×C43C2211yescharacteristic, complemented
201C43×#416C2211yescharacteristic
202C2×#103×C43C2211yescharacteristic, complemented
203#13063373—24no—
204#13063373—42no—
205C2×#10621902—21no—
206C2×#10621902C2311yescharacteristic
207C2×#10621902C2311yescharacteristic
208C2×#10621898—21no—
209C2×#10621898—21no—
210C2×#10621898—21no—
211C2×#10621898C2311yescharacteristic
212C2×#10621898C2311yescharacteristic
213C2×#10621898C2311yescharacteristic
214C2×#10621900—21no—
215C2×#10621900C2311yescharacteristic
216C2×#10621900C2311yescharacteristic
217#41×D43—24no—
218#41×D43—42no—
219C2×Q8×D43—21no—
220C2×Q8×D43C2311yescharacteristic
221C2×Q8×D43C2311yescharacteristic
222C2×Q8×D43C2311yescharacteristic
223C2×D4×D43—21no—
224C2×D4×D43C2311yescharacteristic
225C22×C4×D43—21no—
226C22×C4×D43C2311yescharacteristic
227#13063354—42no—
228#13063346—24no—
229#13063344—42no—
230C2×Dic172C2311yescharacteristic
231C2×Dic172C2311yescharacteristic
232C2×#10621885C2311yescharacteristic
233C2×#10621885C2311yescharacteristic
234C2×#10621873C2311yescharacteristic
235C2×#10621883C2311yescharacteristic
236C2×#10621883C2311yescharacteristic
237C2×#10621883C2311yescharacteristic
238C2×#10621882C2311yescharacteristic
239#13063331—42no—
240C2×#10621877C2311yescharacteristic
241C2×#10621872—42no—
242C2×#10621872C2311yescharacteristic
243C2×#10621872C2311yescharacteristic
244C2×#10621872C2311yescharacteristic
245C2×#10621872C2311yescharacteristic
246C2×#10621872C2311yescharacteristic
247C22×C43⋊C8C2311yescharacteristic
248C2×C8×D43C2311yescharacteristic
249C2×C8×D43C2311yescharacteristic
250C2×C8×D43C2311yescharacteristic
251#13063325—21no—
252#13063325C2311yescharacteristic
253#13063325C2311yescharacteristic
254#13063324—21no—
255#13063324C2311yescharacteristic
256#13063323—21no—
257#13063323C2311yescharacteristic
258#13063320—21no—
259#13063320—21no—
260#13063319—21no—
261#13063318—21no—
262#13063318—21no—
263#13063318—21no—
264#13063318—21no—
265#13063316—21no—
266#13063316C2311yescharacteristic
267#13063315—21no—
268#13063315—21no—
269#13063312—21no—
270#13063312—21no—
271#13063312—21no—
272#13063312C2311yescharacteristic
273#13063311—21no—
274#13063311—21no—
275#13063311—21no—
276#13063311—21no—
277#13063310—21no—
278#13063310—21no—
279#13063310D411yescharacteristic
280#13063308—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#13063307D411yescharacteristic
290#13063306—21no—
291#13063305—21no—
292#13063305—21no—
293#13063305—21no—
294#13063305C2311yescharacteristic
295#13063305C2311yescharacteristic
296#13063305C2311yescharacteristic
297#13063305C2311yescharacteristic
298#13063304—21no—
299#13063304—21no—
300#13063304C2311yescharacteristic
301#13063304C2311yescharacteristic
302#13063304C2311yescharacteristic
303#13063304C2311yescharacteristic
304#13063303—21no—
305#13063303—21no—
306#13063303D411yescharacteristic
307#13063302—21no—
308#13063302—21no—
309#13063302—21no—
310#13063302—21no—
311#13063302—21no—
312#13063302D411yescharacteristic
313#13063301—21no—
314#13063301C2311yescharacteristic
315#13063299—21no—
316#13063298—21no—
317#13063298—21no—
318#13063298—21no—
319#13063298—21no—
320#13063298D411yescharacteristic
321#13063297—21no—
322#13063297—21no—
323#13063297—21no—
324#13063297D411yescharacteristic
325#13063296—21no—
326#13063296—21no—
327#13063296—21no—
328#13063296—21no—
329#13063296—21no—
330#13063296—21no—
331#13063296C2311yescharacteristic
332#13063296C2311yescharacteristic
333#13063296C2311yescharacteristic
334#13063295—21no—
335#13063295D411yescharacteristic
336#13063293—21no—
337#13063293—21no—
338#13063293D411yescharacteristic
339Q8×Dic43C2311yescharacteristic
340C4×Dic86—21no—
341C4×Dic86C2311yescharacteristic
342#13063290—21no—
343#13063290—21no—
344#13063290C2311yescharacteristic
345C4×D172—21no—
346C4×D172—21no—
347C4×D172C2311yescharacteristic
348C4×D172C2311yescharacteristic
349D4×Dic43—21no—
350D4×Dic43C2311yescharacteristic
351#13063287—21no—
352#13063287—21no—
353#13063287C2311yescharacteristic
354C4×C22⋊D43—21no—
355C4×C22⋊D43—21no—
356C4×C22⋊D43—21no—
357C4×C22⋊D43—21no—
358C4×C22⋊D43—21no—
359C4×C22⋊D43C2311yescharacteristic
360C4×C22⋊D43C2311yescharacteristic
361(C22⋊D43)⋊C4—21no—
362(C22⋊D43)⋊C4—21no—
363(C22⋊D43)⋊C4—21no—
364#13063284—21no—
365#13063284—21no—
366#13063284C2311yescharacteristic
367#13063284C2311yescharacteristic
368#13063283—21no—
369#13063283C2311yescharacteristic
370#13063283C2311yescharacteristic
371#13063283C2311yescharacteristic
372#13063283C2311yescharacteristic
373#13063282—21no—
374#13063282—21no—
375#13063282C2311yescharacteristic
376#13063281—21no—
377#13063281—21no—
378#13063281—21no—
379C2×Dic43⋊C4—21no—
380C4⋊C4×D43—21no—
381C4⋊C4×D43—21no—
382C4⋊C4×D43—21no—
383C4⋊C4×D43—21no—
384C4⋊C4×D43C2311yescharacteristic
385C4⋊C4×D43C2311yescharacteristic
386C4⋊C4×D43C2311yescharacteristic
387C4⋊C4×D43C2311yescharacteristic
388C22⋊C4×D43—21no—
389C22⋊C4×D43—21no—
390C22⋊C4×D43—21no—
391C22⋊C4×D43—21no—
392C42×D43—21no—
393#13063259C2311yescharacteristic
394#13063259C2311yescharacteristic
395#13063258C2311yescharacteristic
396#13063258C2311yescharacteristic
397#13063258C2311yescharacteristic
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#13063250C2311yescharacteristic
410#13063250C2311yescharacteristic
411#13063250C2311yescharacteristic
412#13063249C2311yescharacteristic
413#13063249C2311yescharacteristic
414#13063249C2311yescharacteristic
415#13063249C2311yescharacteristic
416#13063249C2311yescharacteristic
417#13063249C2311yescharacteristic
418#13063248C2311yescharacteristic
419#13063248C2311yescharacteristic
420#13063248C2311yescharacteristic
421#13063248C2311yescharacteristic
422#13063248C2311yescharacteristic
423#13063248C2311yescharacteristic
424#13063248C2311yescharacteristic
425#13063247C2311yescharacteristic
426#13063247C2311yescharacteristic
427#13063247C2311yescharacteristic
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×Q8×C43C2311yescharacteristic
446C2×SD16×C43C2311yescharacteristic
447C2×SD16×C43C2311yescharacteristic
448C2×D8×C43C2311yescharacteristic
449C22×C8×C43C2311yescharacteristic
450C22×C8×C43C2311yescharacteristic
451#126×C43—21no—
452#125×C43C2311yescharacteristic
453#124×C43—21no—
454#124×C43C2311yescharacteristic
455#123×C43—21no—
456C22⋊Q8×C43—21no—
457C22⋊Q8×C43C2311yescharacteristic
458#121×C43—21no—
459#121×C43—21no—
460#121×C43C2311yescharacteristic
461#121×C43C2311yescharacteristic
462#121×C43C2311yescharacteristic
463C4×Q8×C43C2311yescharacteristic
464C4×D4×C43—21no—
465C4×D4×C43—21no—
466C4×D4×C43C2311yescharacteristic
467C4×D4×C43C2311yescharacteristic
468#117×C43C2311yescharacteristic
469C2×C4⋊C4×C43C2311yescharacteristic
470#107×C43C2311yescharacteristic
471#106×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#102×C43C2311yescharacteristic
481#102×C43C2311yescharacteristic
482#102×C43C2311yescharacteristic
483#102×C43C2311yescharacteristic
484C22⋊C8×C43C2311yescharacteristic
485C22⋊C8×C43C2311yescharacteristic
486C4×C8×C43C2311yescharacteristic
487C23×D43—21no—
488C23×D43C2×D411yescharacteristic
489#41×C43—22no—
490#41×C43—41no—
491C2×Q8×C43—21no—
492C2×Q8×C43—22no—
493C2×Q8×C43—41no—
494C2×Q8×C43C2411yescharacteristic
495C2×Q8×C43C2411yescharacteristic
496C2×D4×C43—21no—
497C2×D4×C43—21no—
498C2×D4×C43—21no—
499C2×D4×C43—21no—
500C2×D4×C43C2×D411yescharacteristic
501C2×D4×C43C2411yescharacteristic
502C2×D4×C43C2411yescharacteristic
503C22×C4×C43—21no—
504C22×C4×C43—21no—
505C22×C4×C43—21no—
506C22×C4×C43—21no—
507C22×C4×C43C2411yescharacteristic
508C22×C4×C43C2411yescharacteristic
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⋊D43—21no—
516C2×C22⋊D43—21no—
517C2×C22⋊D43C2×D411yescharacteristic
518C2×C22⋊D43C2×D411yescharacteristic
519C2×C22⋊D43C2×D411yescharacteristic
520C2×C22⋊D43C2×D411yescharacteristic
521C22×Dic43—21no—
522C22×Dic43—21no—
523C22×Dic43—21no—
524C22×Dic43C2×D411yescharacteristic
525#10621902—22no—
526#10621902—22no—
527#10621902—41no—
528#10621902—44no—
529#10621902#4114yes—
530Q8×D43—22no—
531Q8×D43—22no—
532Q8×D43—22no—
533Q8×D43—22no—
534Q8×D43—41no—
535Q8×D43—41no—
536Q8×D43—44no—
537#10621900—22no—
538#10621900—22no—
539#10621900—22no—
540#10621900—22no—
541#10621900—44no—
542D4×D43—22no—
543D4×D43—44no—
544D4×D43—41no—
545#10621898—22no—
546#10621898—22no—
547#10621898—22no—
548#10621898—22no—
549#10621898—41no—
550#10621898—41no—
551#10621898—44no—
552#10621898—44no—
553#10621898—44no—
554C2×D172—21no—
555C2×D172—21no—
556C2×D172C2×D411yescharacteristic
557C2×D172C2×D411yescharacteristic
558C2×D172C2411yescharacteristic
559C2×C4×D43—21no—
560C2×C4×D43—22no—
561C2×C4×D43—22no—
562C2×C4×D43—21no—
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—44no—
575C2×C4×D43C2×D411yescharacteristic
576C2×C4×D43C2×D411yescharacteristic
577C2×C4×D43C2411yescharacteristic
578C2×C4×D43C2411yescharacteristic
579C2×C4×D43C2411yescharacteristic
580C2×Dic86—21no—
581C2×Dic86—21no—
582C2×Dic86—21no—
583C2×Dic86—21no—
584C2×Dic86—21no—
585C2×Dic86C2×D411yescharacteristic
586C2×Dic86C2411yescharacteristic
587C2×Dic86C2411yescharacteristic
588C2×Dic86C2411yescharacteristic
589SD16×C43—22no—
590SD16×C43—41no—
591D8×C43—41no—
592C2×C8×C43—41no—
593C2×C8×C43—41no—
594C2×C8×C43C2411yescharacteristic
595C2×C8×C43C2411yescharacteristic
596C2×C8×C43C2411yescharacteristic
597C2×C8×C43C2411yescharacteristic
598C4⋊C4×C43—21no—
599C4⋊C4×C43—21no—
600C4⋊C4×C43—21no—
601C4⋊C4×C43—21no—
602C4⋊C4×C43—21no—
603C4⋊C4×C43C2×D411yescharacteristic
604C4⋊C4×C43C2411yescharacteristic
605C4⋊C4×C43C2411yescharacteristic
606C4⋊C4×C43C2411yescharacteristic
607C4⋊C4×C43C2411yescharacteristic
608C22⋊C4×C43—21no—
609C22⋊C4×C43—21no—
610C22⋊C4×C43—21no—
611C22⋊C4×C43—21no—
612C22⋊C4×C43—21no—
613C22⋊C4×C43—21no—
614C22⋊C4×C43—21no—
615C22⋊C4×C43—21no—
616C22⋊C4×C43C2×D411yescharacteristic
617C22⋊C4×C43C2×D411yescharacteristic
618C42×C43—21no—
619C42×C43—21no—
620C42×C43C2411yescharacteristic
621C22⋊Dic43—21no—
622C22⋊Dic43—21no—
623C22⋊Dic43—21no—
624C22⋊Dic43—21no—
625C22⋊Dic43—21no—
626C22⋊Dic43—21no—
627C22⋊Dic43—21no—
628C22⋊Dic43—21no—
629C22⋊Dic43—21no—
630C22⋊Dic43—21no—
631C22⋊Dic43—21no—
632C22⋊Dic43—21no—
633C22⋊Dic43C2×D411yescharacteristic
634C22⋊Dic43C2×D411yescharacteristic
635#10621885—22no—
636#10621885—41no—
637#10621883—41no—
638#10621883—41no—
639#10621883—41no—
640#10621882—22no—
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)⋊C4C2×D411yescharacteristic
653(C2×D43)⋊C4C2×D411yescharacteristic
654(C2×D43)⋊C4C2×D411yescharacteristic
655(C2×D43)⋊C4C2×D411yescharacteristic
656(C2×D43)⋊C4C2×D411yescharacteristic
657(C2×D43)⋊C4C2×D411yescharacteristic
658C4⋊Dic43—21no—
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⋊C4C2×D411yescharacteristic
688Dic43⋊C4C2×D411yescharacteristic
689Dic43⋊C4C2×D411yescharacteristic
690Dic43⋊C4C2×D411yescharacteristic
691C4×Dic43—21no—
692C4×Dic43—21no—
693C4×Dic43—21no—
694C4×Dic43—21no—
695C4×Dic43—21no—
696C4×Dic43—21no—
697C4×Dic43—21no—
698C4×Dic43—21no—
699C4×Dic43—21no—
700C4×Dic43C2411yescharacteristic
701#10621877—41no—
702C2×C43⋊C8—41no—
703C2×C43⋊C8C2411yescharacteristic
704C2×C43⋊C8C2411yescharacteristic
705C2×C43⋊C8C2411yescharacteristic
706C2×C43⋊C8C2411yescharacteristic
707Dic172—41no—
708Dic172—41no—
709#10621873—22no—
710#10621872—22no—
711#10621872—22no—
712#10621872—41no—
713#10621872—41no—
714#10621872—41no—
715C8×D43—22no—
716C8×D43—22no—
717C8×D43—41no—
718C23×C43—21no—
719C23×C43—21no—
720C23×C43C22×D411yescharacteristic
721C23×C43C22×D411yescharacteristic
722C22×D43—21no—
723C22×D43—22no—
724C22×D43—41no—
725C22×D43—41no—
726C22×D43—42no—
727C22×D43—42no—
728C22×D43—81no—
729C22×D43C22×D411yescharacteristic
730C22×D43C22×D411yescharacteristic
731C22×D43C22×D411yescharacteristic
732Q8×C43—21no—
733Q8×C43—21no—
734Q8×C43—21no—
735Q8×C43—42no—
736Q8×C43C2×#4112yes—
737D4×C43—21no—
738D4×C43—21no—
739D4×C43—21no—
740D4×C43—21no—
741D4×C43—41no—
742D4×C43—42no—
743D4×C43—81no—
744D4×C43—81no—
745D4×C43—81no—
746C2×C4×C43—21no—
747C2×C4×C43—21no—
748C2×C4×C43—21no—
749C2×C4×C43—21no—
750C2×C4×C43—21no—
751C2×C4×C43—21no—
752C2×C4×C43—21no—
753C2×C4×C43—21no—
754C2×C4×C43—21no—
755C2×C4×C43—21no—
756C2×C4×C43—42no—
757C2×C4×C43—42no—
758C2×C4×C43—81no—
759C2×C4×C43—81no—
760C2×C4×C43C22×D411yescharacteristic
761C2×C4×C43C22×D411yescharacteristic
762C2×C4×C43C22×D411yescharacteristic
763C2×C4×C43C22×D411yescharacteristic
764C2×C4×C43C2511yescharacteristic
765C22⋊D43—22no—
766C22⋊D43—22no—
767C22⋊D43—41no—
768C22⋊D43—41no—
769C22⋊D43—42no—
770C22⋊D43—42no—
771C22⋊D43—42no—
772C22⋊D43—42no—
773C22⋊D43—42no—
774C22⋊D43—81no—
775C22⋊D43—81no—
776C22⋊D43—81no—
777C2×Dic43—22no—
778C2×Dic43—21no—
779C2×Dic43—21no—
780C2×Dic43—21no—
781C2×Dic43—21no—
782C2×Dic43—21no—
783C2×Dic43—21no—
784C2×Dic43—21no—
785C2×Dic43—42no—
786C2×Dic43—42no—
787C2×Dic43—81no—
788C2×Dic43C22×D411yescharacteristic
789C2×Dic43C22×D411yescharacteristic
790C2×Dic43C22×D411yescharacteristic
791C2×Dic43C22×D411yescharacteristic
792C2×Dic43C22×D411yescharacteristic
793D172—24no—
794D172—22no—
795D172—21no—
796D172—41no—
797D172—42no—
798D172C2×#4112yes—
799C4×D43—22no—
800C4×D43—21no—
801C4×D43—21no—
802C4×D43—21no—
803C4×D43—21no—
804C4×D43—22no—
805C4×D43—24no—
806C4×D43—42no—
807C4×D43—42no—
808C4×D43—42no—
809C4×D43—42no—
810C4×D43—42no—
811C4×D43—42no—
812C4×D43—81no—
813C4×D43—81no—
814C4×D43—81no—
815C4×D43—81no—
816C4×D43—81no—
817C4×D43—81no—
818C4×D43C2×#4112yes—
819C4×D43H(5,𝔽2)12yes—
820Dic86—22no—
821Dic86—21no—
822Dic86—21no—
823Dic86—21no—
824Dic86—21no—
825Dic86—21no—
826Dic86—21no—
827Dic86—42no—
828Dic86—42no—
829Dic86—42no—
830Dic86—81no—
831Dic86—81no—
832C8×C43—21no—
833C8×C43—21no—
834C8×C43—21no—
835C8×C43—21no—
836C43⋊C8—21no—
837C43⋊C8—21no—
838C43⋊C8—21no—
839C43⋊C8—21no—
840#61197—431nomaximal, Sylow
841C22×C43—21no—
842C22×C43—21no—
843C22×C43—21no—
844C22×C43—21no—
845C22×C43—21no—
846C22×C43—21no—
847C22×C43—41no—
848C22×C43—41no—
849C22×C43—41no—
850C22×C43—41no—
851C22×C43—41no—
852C22×C43—41no—
853C22×C43C23×D411yescharacteristic
854C2×D43—21no—
855C2×D43—21no—
856C2×D43—21no—
857C2×D43—21no—
858C2×D43—21no—
859C2×D43—21no—
860C2×D43—21no—
861C2×D43—22no—
862C2×D43—21no—
863C2×D43—41no—
864C2×D43—41no—
865C2×D43—82no—
866C2×D43—84no—
867C2×D43#54612yes—
868C4×C43—21no—
869C4×C43—21no—
870C4×C43—21no—
871C4×C43—22no—
872C4×C43—21no—
873C4×C43—41no—
874C4×C43—41no—
875C4×C43—41no—
876C4×C43—41no—
877C4×C43—41no—
878C4×C43C22×#4111yescharacteristic
879C4×C43C2×H(5,𝔽2)11yescharacteristic
880Dic43—21no—
881Dic43—21no—
882Dic43—21no—
883Dic43—21no—
884Dic43—41no—
885Dic43—41no—
886Dic43—41no—
887Dic43—41no—
888Dic43—41no—
889Dic43—41no—
890Dic43—41no—
891Dic43#54612yes—
892#3493—431no—
893#3489—431no—
894#3329—431no—
895#3329—431no—
896#3323—431no—
897#3323—431no—
898#3319—431no—
899#3319—431no—
900#3313—431no—
901#3313—431no—
902#3312—431no—
903#3312—431no—
904#3307—431no—
905#3307—431no—
906#3302—431no—
907#3302—431no—
908#3301—431no—
909#3301D4311yescharacteristic, complemented
910#3137—431no—
911#3099—431no—
912C2×#485—431no—
913#3083—431no—
914#3061—431no—
915#3056—431no—
916#3046—431no—
917#3013—431no—
918#3002—431no—
919#2952—431no—
920#2933—431no—
921#2898—431no—
922#2896—431no—
923C2×C43—41no—
924C2×C43—41no—
925C2×C43—81no—
926C2×C43—81no—
927C2×C43C2×#54611yescharacteristic
928C2×C43#358411yescharacteristic
929C2×C43#358611yescharacteristic
930D43—22no—
931D43—41no—
932D43—41no—
933D43—42no—
934C2×2−1+4—431no—
935C22×#41—431no—
936C2×#137—431no—
937C2×#135—431no—
938C2×#135—431no—
939C2×#131—431no—
940C22×M16—431no—
941#556—431no—
942#556—431no—
943#556—861no—
944#555—431no—
945#555—431no—
946#555—861no—
947#553—431no—
948#553—861no—
949#553C2×D4311yescharacteristic, complemented
950#552—431no—
951#552—431no—
952#552—861no—
953D4×Q8—431no—
954D4×Q8—431no—
955#548—431no—
956#548C2×D4311yescharacteristic
957#547—431no—
958#547—431no—
959#547—861no—
960#547—861no—
961#546—431no—
962#546—431no—
963#546—861no—
964#546—861no—
965#544—431no—
966#538—861no—
967#538—861no—
968#537—431no—
969#537—431no—
970#537—861no—
971#536—431no—
972#536—861no—
973#529—861no—
974#529—861no—
975#525—431no—
976#525—431no—
977#525—861no—
978C2×C22⋊Q8—431no—
979C2×C22⋊Q8—861no—
980#520—431no—
981#520—431no—
982#520—431no—
983C2×#117—431no—
984#491—431no—
985#491—431no—
986#489—431no—
987#489—431no—
988#488—431no—
989#488C2×D4311yescharacteristic, complemented
990#487—431no—
991#487—431no—
992#485—431no—
993#485—431no—
994#485—431no—
995#485—431no—
996#485—431no—
997#485—431no—
998#485—431no—
999#485—431no—
1000#485—431no—
1001#485C2×D4311yescharacteristic, complemented
1002#483—431no—
1003#483—431no—
1004#482—431no—
1005#482—431no—
1006#481—431no—
1007#481C2×D4311yescharacteristic, complemented
1008#479—431no—
1009#479C2×D4311yescharacteristic, complemented
1010#478—431no—
1011#478—431no—
1012#477—431no—
1013#477—431no—
1014#474—431no—
1015#474—431no—
1016#470—431no—
1017#470—431no—
1018#468—431no—
1019#468—431no—
1020#468—431no—
1021#468—431no—
1022#468—431no—
1023#468—431no—
1024#467—431no—
1025#467—431no—
1026#467—431no—
1027#467—431no—
1028#466—431no—
1029#466C2×D4311yescharacteristic, complemented
1030#465—431no—
1031#465C2×D4311yescharacteristic, complemented
1032#464—431no—
1033#464—431no—
1034#463—431no—
1035#463C2×D4311yescharacteristic, complemented
1036#462—431no—
1037#462—431no—
1038#461—431no—
1039#461—431no—
1040#452—431no—
1041#452—431no—
1042#452—431no—
1043#452—431no—
1044#451—431no—
1045#451—431no—
1046#451—431no—
1047#450—431no—
1048#449—431no—
1049#449—431no—
1050#449—431no—
1051#449C2×D4311yescharacteristic
1052#448—431no—
1053#448—431no—
1054#448C2×D4311yescharacteristic, complemented
1055#447—431no—
1056#442—431no—
1057#442—431no—
1058#441—431no—
1059#441—431no—
1060C4×SD16—431no—
1061C4×SD16—431no—
1062C4×SD16—431no—
1063C4×SD16C2×D4311yescharacteristic, complemented
1064#436—431no—
1065#436—431no—
1066#435—431no—
1067#435—431no—
1068#435—431no—
1069#435—431no—
1070C8×D4—431no—
1071C8×D4C2×D4311yescharacteristic, complemented
1072#428—431no—
1073C2×#107—431no—
1074C2×#106—431no—
1075#424—431no—
1076#419—431no—
1077#419—431no—
1078#419—431no—
1079#419—431no—
1080#419—431no—
1081#418—431no—
1082#418—431no—
1083#417—431no—
1084#417—431no—
1085#417—431no—
1086#417—431no—
1087#417—431no—
1088#417—431no—
1089#417—431no—
1090#416—431no—
1091#416—431no—
1092#416—431no—
1093#416—431no—
1094#416—431no—
1095#416—431no—
1096#416—431no—
1097#416C2×D4311yescharacteristic
1098C2×#103—431no—
1099C2×#103—431no—
1100C2×#103—431no—
1101C2×#103C2×D4311yescharacteristic, complemented
1102#408—431no—
1103C2×C22⋊C8—431no—
1104#405—431no—
1105C43#6119711yescharacteristic, complemented, Sylow
11062−1+4—864no—
11072−1+4—1722no—
1108C2×#41—431no—
1109C2×#41—431no—
1110C2×#41—431no—
1111C2×#41—431no—
1112C2×#41—431no—
1113C2×#41—431no—
1114C2×#41—431no—
1115C2×#41—861no—
1116C2×#41—861no—
1117C2×#41—861no—
1118C2×#41—861no—
1119C2×#41—861no—
1120C2×#41—864no—
1121C2×#41—1722no—
1122C2×#41C22×D4311yescharacteristic
1123C22×Q8—431no—
1124C22×Q8—431no—
1125C22×Q8—431no—
1126C22×Q8—861no—
1127C22×Q8C22×D4311yescharacteristic
1128C22×D4—431no—
1129C22×D4—861no—
1130C23×C4—431no—
1131C23×C4—861no—
1132#137—1722no—
1133#135—864no—
1134#135—1722no—
1135C2×Q16—431no—
1136C2×Q16—431no—
1137C2×Q16—431no—
1138C2×Q16—431no—
1139C2×SD16—431no—
1140C2×SD16—431no—
1141C2×SD16—431no—
1142C2×SD16—431no—
1143C2×SD16C22×D4311yescharacteristic
1144C2×SD16C22×D4311yescharacteristic
1145C2×D8—431no—
1146C2×D8C22×D4311yescharacteristic
1147#131—1722no—
1148C2×M16—431no—
1149C2×M16—431no—
1150C2×M16—431no—
1151C2×M16—431no—
1152C2×M16—431no—
1153C2×M16—431no—
1154C2×M16—1722no—
1155C22×C8—431no—
1156C22×C8—431no—
1157C22×C8—431no—
1158C22×C8—431no—
1159C22×C8C22×D4311yescharacteristic
1160C22×C8C22×D4311yescharacteristic
1161C4⋊Q8—431no—
1162C4⋊Q8—431no—
1163C4⋊Q8—431no—
1164C4⋊Q8—431no—
1165C4⋊Q8—861no—
1166C4⋊Q8—861no—
1167C4⋊Q8—861no—
1168#126—21no—
1169#126—861no—
1170#126—861no—
1171#126—861no—
1172#126—861no—
1173#126—861no—
1174#126—861no—
1175#126—861no—
1176#125—431no—
1177#125—861no—
1178#125—861no—
1179#125—861no—
1180#125C22×D4311yescharacteristic
1181#124—21no—
1182#124—431no—
1183#124—861no—
1184#124—861no—
1185#124—861no—
1186#124—861no—
1187#124—861no—
1188#124—861no—
1189#124—861no—
1190#124C22×D4311yescharacteristic
1191#123—21no—
1192#123—431no—
1193#123—431no—
1194#123—861no—
1195#123—861no—
1196#123—861no—
1197#123—861no—
1198#123—861no—
1199#123—861no—
1200#123—861no—
1201#123—861no—
1202#123—861no—
1203#123—861no—
1204#123—861no—
1205#123—861no—
1206C22⋊Q8—21no—
1207C22⋊Q8—431no—
1208C22⋊Q8—431no—
1209C22⋊Q8—431no—
1210C22⋊Q8—431no—
1211C22⋊Q8—431no—
1212C22⋊Q8—431no—
1213C22⋊Q8—431no—
1214C22⋊Q8—431no—
1215C22⋊Q8—431no—
1216C22⋊Q8—431no—
1217C22⋊Q8—431no—
1218C22⋊Q8—861no—
1219C22⋊Q8—861no—
1220C22⋊Q8—861no—
1221C22⋊Q8—861no—
1222C22⋊Q8—861no—
1223C22⋊Q8—861no—
1224C22⋊Q8—861no—
1225C22⋊Q8—861no—
1226C22⋊Q8—861no—
1227C22⋊Q8—861no—
1228C22⋊Q8—861no—
1229C22⋊Q8—861no—
1230C22⋊Q8—861no—
1231C22⋊Q8C22×D4311yescharacteristic
1232#121—21no—
1233#121—21no—
1234#121—431no—
1235#121—431no—
1236#121—431no—
1237#121—431no—
1238#121—431no—
1239#121—861no—
1240#121—861no—
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#121—861no—
1251#121—861no—
1252#121—861no—
1253#121C22×D4311yescharacteristic
1254#121C22×D4311yescharacteristic
1255#121C22×D4311yescharacteristic
1256#120—431no—
1257#120—431no—
1258#120—861no—
1259#120—861no—
1260#120—861no—
1261C4×Q8—431no—
1262C4×Q8—431no—
1263C4×Q8—431no—
1264C4×Q8—861no—
1265C4×Q8—861no—
1266C4×Q8—861no—
1267C4×Q8C22×D4311yescharacteristic
1268C4×D4—21no—
1269C4×D4—21no—
1270C4×D4—431no—
1271C4×D4—431no—
1272C4×D4—431no—
1273C4×D4—431no—
1274C4×D4—431no—
1275C4×D4—431no—
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×D4—861no—
1287C4×D4—861no—
1288C4×D4—861no—
1289C4×D4C22×D4311yescharacteristic
1290C4×D4C22×D4311yescharacteristic
1291#117—431no—
1292#117—431no—
1293#117—431no—
1294#117—431no—
1295#117—431no—
1296#117—431no—
1297#117—431no—
1298#117—861no—
1299#117—861no—
1300#117—861no—
1301#117—861no—
1302#117—861no—
1303#117—861no—
1304#117—861no—
1305#117—861no—
1306#117C22×D4311yescharacteristic
1307C2×C4⋊C4—431no—
1308C2×C4⋊C4—431no—
1309C2×C4⋊C4—431no—
1310C2×C4⋊C4—431no—
1311C2×C4⋊C4—861no—
1312C2×C4⋊C4—861no—
1313C2×C4⋊C4—861no—
1314C2×C4⋊C4—861no—
1315C2×C4⋊C4—861no—
1316C2×C4⋊C4C22×D4311yescharacteristic
1317C2×C22⋊C4—861no—
1318C2×C22⋊C4—861no—
1319C2×C22⋊C4—861no—
1320C2×C22⋊C4—861no—
1321C2×C42—861no—
1322#107—431no—
1323#107—431no—
1324#107—431no—
1325#107—431no—
1326#107—431no—
1327#107C22×D4311yescharacteristic
1328#106—431no—
1329#106—431no—
1330#106—431no—
1331#106—431no—
1332#106C22×D4311yescharacteristic
1333#106C22×D4311yescharacteristic
1334C4⋊C8—431no—
1335C4⋊C8—431no—
1336C4⋊C8—431no—
1337C4⋊C8C22×D4311yescharacteristic
1338#103—431no—
1339#103—431no—
1340#103—431no—
1341#103—431no—
1342#103—431no—
1343#103—431no—
1344#103—431no—
1345#103—431no—
1346#103—431no—
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#103C22×D4311yescharacteristic
1359#103C22×D4311yescharacteristic
1360#103C22×D4311yescharacteristic
1361#103C22×D4311yescharacteristic
1362#103C22×D4311yescharacteristic
1363#103C22×D4311yescharacteristic
1364#102—431no—
1365#102—431no—
1366#102—431no—
1367#102—431no—
1368#102—431no—
1369#102—431no—
1370#102—431no—
1371#102—431no—
1372#102—431no—
1373#102—431no—
1374#102C22×D4311yescharacteristic
1375#102C22×D4311yescharacteristic
1376#102C22×D4311yescharacteristic
1377#102C22×D4311yescharacteristic
1378C22⋊C8—431no—
1379C22⋊C8—431no—
1380C22⋊C8—431no—
1381C22⋊C8—431no—
1382C22⋊C8—431no—
1383C22⋊C8—431no—
1384C22⋊C8C22×D4311yescharacteristic
1385C22⋊C8C22×D4311yescharacteristic
1386#97—431no—
1387#97—431no—
1388C4×C8—431no—
1389C4×C8C22×D4311yescharacteristic
1390C24—431no—
1391C24—861no—
1392#41—22no—
1393#41—41no—
1394#41—434no—
1395#41—862no—
1396#41—862no—
1397#41—862no—
1398#41—862no—
1399#41—862no—
1400#41—862no—
1401#41—862no—
1402#41—862no—
1403#41—862no—
1404#41—862no—
1405#41—1721no—
1406#41—1721no—
1407#41—1724no—
1408#41—1724no—
1409#41—1724no—
1410#41—1724no—
1411#41—1721no—
1412#41—1724no—
1413C2×Q8—21no—
1414C2×Q8—22no—
1415C2×Q8—41no—
1416C2×Q8—431no—
1417C2×Q8—431no—
1418C2×Q8—431no—
1419C2×Q8—431no—
1420C2×Q8—861no—
1421C2×Q8—861no—
1422C2×Q8—861no—
1423C2×Q8—861no—
1424C2×Q8—862no—
1425C2×Q8—862no—
1426C2×Q8—861no—
1427C2×Q8—862no—
1428C2×Q8—862no—
1429C2×Q8—1721no—
1430C2×Q8—1721no—
1431C2×Q8—1724no—
1432C2×Q8C23×D4311yescharacteristic
1433C2×Q8C23×D4311yescharacteristic
1434C2×D4—21no—
1435C2×D4—21no—
1436C2×D4—21no—
1437C2×D4—21no—
1438C2×D4—431no—
1439C2×D4—431no—
1440C2×D4—431no—
1441C2×D4—431no—
1442C2×D4—431no—
1443C2×D4—431no—
1444C2×D4—431no—
1445C2×D4—861no—
1446C2×D4—861no—
1447C2×D4—861no—
1448C2×D4—862no—
1449C2×D4—861no—
1450C2×D4—861no—
1451C2×D4—861no—
1452C2×D4—861no—
1453C2×D4—861no—
1454C2×D4—861no—
1455C2×D4—861no—
1456C2×D4—1721no—
1457C2×D4—1724no—
1458C2×D4D4×D4311yescharacteristic
1459C2×D4C23×D4311yescharacteristic
1460C2×D4C23×D4311yescharacteristic
1461C22×C4—21no—
1462C22×C4—21no—
1463C22×C4—21no—
1464C22×C4—21no—
1465C22×C4—431no—
1466C22×C4—431no—
1467C22×C4—431no—
1468C22×C4—431no—
1469C22×C4—431no—
1470C22×C4—431no—
1471C22×C4—861no—
1472C22×C4—862no—
1473C22×C4—862no—
1474C22×C4—861no—
1475C22×C4—861no—
1476C22×C4—861no—
1477C22×C4—861no—
1478C22×C4—861no—
1479C22×C4—861no—
1480C22×C4—861no—
1481C22×C4—861no—
1482C22×C4—861no—
1483C22×C4—861no—
1484C22×C4—861no—
1485C22×C4—861no—
1486C22×C4—861no—
1487C22×C4—861no—
1488C22×C4—861no—
1489C22×C4—1724no—
1490C22×C4C23×D4311yescharacteristic
1491C22×C4C23×D4311yescharacteristic
1492Q16—862no—
1493Q16—1721no—
1494Q16—1721no—
1495Q16—1721no—
1496SD16—22no—
1497SD16—41no—
1498SD16—862no—
1499SD16—1721no—
1500SD16—1721no—
1501SD16—1721no—
1502D8—41no—
1503D8—862no—
1504M16—862no—
1505M16—862no—
1506M16—1721no—
1507M16—1721no—
1508M16—1721no—
1509M16—1721no—
1510C2×C8—41no—
1511C2×C8—41no—
1512C2×C8—431no—
1513C2×C8—431no—
1514C2×C8—431no—
1515C2×C8—431no—
1516C2×C8—862no—
1517C2×C8—862no—
1518C2×C8—1721no—
1519C2×C8—1721no—
1520C2×C8C23×D4311yescharacteristic
1521C2×C8C23×D4311yescharacteristic
1522C2×C8C23×D4311yescharacteristic
1523C2×C8C23×D4311yescharacteristic
1524C4⋊C4—21no—
1525C4⋊C4—21no—
1526C4⋊C4—21no—
1527C4⋊C4—21no—
1528C4⋊C4—21no—
1529C4⋊C4—431no—
1530C4⋊C4—431no—
1531C4⋊C4—431no—
1532C4⋊C4—431no—
1533C4⋊C4—431no—
1534C4⋊C4—431no—
1535C4⋊C4—431no—
1536C4⋊C4—431no—
1537C4⋊C4—431no—
1538C4⋊C4—861no—
1539C4⋊C4—861no—
1540C4⋊C4—861no—
1541C4⋊C4—861no—
1542C4⋊C4—861no—
1543C4⋊C4—861no—
1544C4⋊C4—861no—
1545C4⋊C4—861no—
1546C4⋊C4—861no—
1547C4⋊C4—861no—
1548C4⋊C4—861no—
1549C4⋊C4—861no—
1550C4⋊C4—861no—
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⋊C4D4×D4311yescharacteristic
1563C4⋊C4C23×D4311yescharacteristic
1564C4⋊C4C23×D4311yescharacteristic
1565C4⋊C4C23×D4311yescharacteristic
1566C4⋊C4C23×D4311yescharacteristic
1567C22⋊C4—21no—
1568C22⋊C4—21no—
1569C22⋊C4—21no—
1570C22⋊C4—21no—
1571C22⋊C4—21no—
1572C22⋊C4—21no—
1573C22⋊C4—21no—
1574C22⋊C4—21no—
1575C22⋊C4—431no—
1576C22⋊C4—431no—
1577C22⋊C4—431no—
1578C22⋊C4—431no—
1579C22⋊C4—431no—
1580C22⋊C4—431no—
1581C22⋊C4—431no—
1582C22⋊C4—431no—
1583C22⋊C4—861no—
1584C22⋊C4—861no—
1585C22⋊C4—861no—
1586C22⋊C4—861no—
1587C22⋊C4—861no—
1588C22⋊C4—861no—
1589C22⋊C4—861no—
1590C22⋊C4—861no—
1591C22⋊C4—861no—
1592C22⋊C4—861no—
1593C22⋊C4—861no—
1594C22⋊C4—861no—
1595C22⋊C4—861no—
1596C22⋊C4—861no—
1597C22⋊C4—861no—
1598C22⋊C4—861no—
1599C22⋊C4—861no—
1600C22⋊C4—861no—
1601C22⋊C4—861no—
1602C22⋊C4—861no—
1603C22⋊C4—861no—
1604C22⋊C4—861no—
1605C22⋊C4—861no—
1606C22⋊C4D4×D4311yescharacteristic
1607C22⋊C4D4×D4311yescharacteristic
1608C42—21no—
1609C42—21no—
1610C42—431no—
1611C42—861no—
1612C42—861no—
1613C42—861no—
1614C42—861no—
1615C42—861no—
1616C42—861no—
1617C42—861no—
1618C42—861no—
1619C42—861no—
1620C42C23×D4311yescharacteristic
1621C23—21no—
1622C23—21no—
1623C23—431no—
1624C23—431no—
1625C23—431no—
1626C23—862no—
1627C23—861no—
1628C23—3441no—
1629C23—1721no—
1630C23—1721no—
1631C23—1722no—
1632C23—1722no—
1633C23C2×D4×D4311yescharacteristic
1634C23C2×D4×D4311yescharacteristic
1635Q8—21no—
1636Q8—21no—
1637Q8—21no—
1638Q8—42no—
1639Q8—862no—
1640Q8—861no—
1641Q8—861no—
1642Q8—861no—
1643Q8—861no—
1644Q8—861no—
1645Q8—861no—
1646Q8—3441no—
1647Q8—3441no—
1648Q8—1722no—
1649Q8—1722no—
1650Q8—1722no—
1651Q8#41×D4312yes—
1652D4—21no—
1653D4—21no—
1654D4—21no—
1655D4—21no—
1656D4—41no—
1657D4—42no—
1658D4—81no—
1659D4—81no—
1660D4—81no—
1661D4—432no—
1662D4—862no—
1663D4—864no—
1664D4—862no—
1665D4—862no—
1666D4—861no—
1667D4—3441no—
1668D4—3441no—
1669D4—3441no—
1670D4—1721no—
1671D4—1722no—
1672D4—1721no—
1673D4—1721no—
1674D4—1722no—
1675D4—1722no—
1676D4—1722no—
1677D4—1722no—
1678D4—1722no—
1679C2×C4—21no—
1680C2×C4—21no—
1681C2×C4—21no—
1682C2×C4—21no—
1683C2×C4—21no—
1684C2×C4—21no—
1685C2×C4—21no—
1686C2×C4—21no—
1687C2×C4—21no—
1688C2×C4—21no—
1689C2×C4—42no—
1690C2×C4—42no—
1691C2×C4—81no—
1692C2×C4—81no—
1693C2×C4—431no—
1694C2×C4—432no—
1695C2×C4—432no—
1696C2×C4—431no—
1697C2×C4—431no—
1698C2×C4—431no—
1699C2×C4—431no—
1700C2×C4—862no—
1701C2×C4—864no—
1702C2×C4—862no—
1703C2×C4—862no—
1704C2×C4—861no—
1705C2×C4—861no—
1706C2×C4—861no—
1707C2×C4—861no—
1708C2×C4—861no—
1709C2×C4—861no—
1710C2×C4—861no—
1711C2×C4—861no—
1712C2×C4—861no—
1713C2×C4—861no—
1714C2×C4—861no—
1715C2×C4—3441no—
1716C2×C4—3441no—
1717C2×C4—3441no—
1718C2×C4—3441no—
1719C2×C4—3441no—
1720C2×C4—3441no—
1721C2×C4—3441no—
1722C2×C4—1722no—
1723C2×C4—1722no—
1724C2×C4—1722no—
1725C2×C4—1722no—
1726C2×C4—1722no—
1727C2×C4—1722no—
1728C2×C4—1722no—
1729C2×C4—1722no—
1730C2×C4C2×D4×D4311yescharacteristic
1731C2×C4C2×D4×D4311yescharacteristic
1732C2×C4C2×D4×D4311yescharacteristic
1733C2×C4C2×D4×D4311yescharacteristic
1734C2×C4C24×D4311yescharacteristic
1735C8—21no—
1736C8—21no—
1737C8—21no—
1738C8—21no—
1739C8—861no—
1740C8—861no—
1741C8—861no—
1742C8—861no—
1743C22—21no—
1744C22—21no—
1745C22—21no—
1746C22—21no—
1747C22—21no—
1748C22—21no—
1749C22—41no—
1750C22—41no—
1751C22—41no—
1752C22—41no—
1753C22—41no—
1754C22—41no—
1755C22—432no—
1756C22—861no—
1757C22—861no—
1758C22—861no—
1759C22—862no—
1760C22—861no—
1761C22—861no—
1762C22—861no—
1763C22—861no—
1764C22—861no—
1765C22—3442no—
1766C22—3444no—
1767C22—1721no—
1768C22—1721no—
1769C22C22×D4×D4311yescharacteristic
1770C4—21no—
1771C4—21no—
1772C4—22no—
1773C4—21no—
1774C4—21no—
1775C4—41no—
1776C4—41no—
1777C4—41no—
1778C4—41no—
1779C4—41no—
1780C4—432no—
1781C4—861no—
1782C4—861no—
1783C4—861no—
1784C4—861no—
1785C4—1721no—
1786C4—1721no—
1787C4—1721no—
1788C4—1721no—
1789C4—1721no—
1790C4—1721no—
1791C4—1721no—
1792C4C2×#41×D4311yescharacteristic
1793C4H(5,𝔽2)×D4311yescharacteristic
1794C2—41no—
1795C2—41no—
1796C2—81no—
1797C2—81no—
1798C2—862no—
1799C2—1721no—
1800C2—1721no—
1801C2—1722no—
1802C2#546×D4311yescharacteristic
1803C2#1914936411yescharacteristic
1804C2#1914937711yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3301C2
socleC22×C43C23×D4
hypercenter#3301D43
hypocenterC43#61197
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3301

Complements

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

NH ≅ G/Ntype
1. #19148311C2semidirect
2. #19148274C2semidirect
3. #19146891C2semidirect
4. #19146882C2semidirect
5. #19146814C2semidirect
6. #19146810C2semidirect
7. #19146758C2semidirect
8. #19146757C2semidirect
9. #19146661C2semidirect
10. #19146657C2semidirect
11. #19146643C2semidirect
12. #19146642C2semidirect
13. #19146577C2semidirect
14. #19146565C2semidirect
15. #19146513C2semidirect
16. #19146510C2semidirect
17. #19146490C2semidirect
18. #19144959C2semidirect
19. #19144585C2semidirect
20. #485×D43C2semidirect
21. #19144449C2semidirect
22. #19144260C2semidirect
23. #19144218C2semidirect
24. #19144146C2semidirect
25. #19143905C2semidirect
26. #19143810C2semidirect
27. #19143473C2semidirect
28. #19143315C2semidirect
29. #19143123C2semidirect
30. #19143110C2semidirect
31. C43×#3301C2semidirect
34. C2×#13063354C22semidirect
37. C2×#13063331C22semidirect
39. #14583619C22semidirect
40. #14583617C22semidirect
46. #14583596C22semidirect
61. #14583529C22semidirect
66. #14583478C22semidirect
77. #14583380C22semidirect
78. #14583378C22semidirect
80. #14583269C22semidirect
81. #14583266C22semidirect
82. #14583258C22semidirect
83. #14583257C22semidirect
84. #14583252C22semidirect
85. #14583250C22semidirect
86. #14583248C22semidirect
88. #14583243C22semidirect
90. #14583241C22semidirect
91. #14583241C22semidirect
92. #14583240C22semidirect
95. #14583237C22semidirect
96. #14583231C22semidirect
97. #14583229C22semidirect
98. #14583221C22semidirect
99. #14583220C22semidirect
100. #14583216C22semidirect
101. #14583208C22semidirect
102. #14583198C22semidirect
103. #14583196C22semidirect
104. #14583194C22semidirect
105. #14583192C22semidirect
106. #14583180C22semidirect
107. #14583178C22semidirect
111. #14583144C22semidirect
112. #14583144C22semidirect
113. #14583143C22semidirect
114. #14583143C22semidirect
116. #14583141C22semidirect
117. #14583140C22semidirect
118. #14583140C22semidirect
119. #14583138C22semidirect
120. #14583132C22semidirect
121. #14583126C22semidirect
122. #14583120C22semidirect
123. #14583118C22semidirect
124. #14583112C22semidirect
125. #14583110C22semidirect
126. #14583108C22semidirect
127. #14583104C22semidirect
128. #14583102C22semidirect
129. #14583064C22semidirect
131. #14583063C22semidirect
134. #14583056C22semidirect
135. #14583055C22semidirect
137. #14583043C22semidirect
139. #14583042C22semidirect
141. #14583036C22semidirect
143. #14583009C22semidirect
144. #14583008C22semidirect
145. #14583004C22semidirect
146. #14583003C22semidirect
147. C4×#10621873C22semidirect
148. SD16×Dic43C22semidirect
149. #14582986C22semidirect
152. #14582971C22semidirect
154. #14582970C22semidirect
156. (C22⋊D43)⋊C8C22semidirect
157. #14582938C22semidirect
158. #107×D43C22semidirect
159. #106×D43C22semidirect
160. #14582924C22semidirect
161. #14582908C22semidirect
164. #14582906C22semidirect
165. #14582906C22semidirect
170. #14582899C22semidirect
171. #14582898C22semidirect
174. #14582897C22semidirect
176. #14582896C22semidirect
179. #14582894C22semidirect
182. #103×D43C22semidirect
183. #103×D43C22semidirect
184. #103×D43C22semidirect
185. #14582864C22semidirect
187. #14582853C22semidirect
188. C43×#553C22semidirect
190. C43×#488C22semidirect
191. C43×#485C22semidirect
192. C43×#481C22semidirect
193. C43×#479C22semidirect
194. C43×#466C22semidirect
195. C43×#465C22semidirect
196. C43×#463C22semidirect
198. C43×#448C22semidirect
199. C4×SD16×C43C22semidirect
200. C8×D4×C43C22semidirect
202. C2×#103×C43C22semidirect
909. #3301D43semidirect
949. #553C2×D43semidirect
989. #488C2×D43semidirect
1001. #485C2×D43semidirect
1007. #481C2×D43semidirect
1009. #479C2×D43semidirect
1029. #466C2×D43semidirect
1031. #465C2×D43semidirect
1035. #463C2×D43semidirect
1054. #448C2×D43semidirect
1063. C4×SD16C2×D43semidirect
1071. C8×D4C2×D43semidirect
1101. C2×#103C2×D43semidirect
1105. C43#61197semidirect

Maximal subgroups

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

subgroupindex
#191483112
#191482742
#191468912
#191468822
#191468142
#191468102
#191467582
#191467572
#191466612
#191466572
#191466432
#191466422
#191465772
#191465652
#191465132
#191465102
#191464902
#191449592
#191445852
#485×D432
#191444492
#191442602
#191442182
#191441462
#191439052
#191438102
#191434732
#191433152
#191431232
#191431102
C43×#33012
#6119743