Finite Group Databasebeta

← #25979776

Subgroups — #25979776

Order 11008.

1896 conjugacy classes of subgroups.

The subgroup lattice has 1762 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19148662C211yesmaximal, characteristic, complemented
2#19148626C211yesmaximal, characteristic, complemented
3#19147555C211yesmaximal, characteristic, complemented
4#19147416C211yesmaximal, characteristic, complemented
5#19147298C211yesmaximal, characteristic, complemented
6#19147202C211yesmaximal, characteristic, complemented
7#19147145C211yesmaximal, characteristic, complemented
8#19147115C211yesmaximal, characteristic, complemented
9#19146829C211yesmaximal, characteristic, complemented
10#19146803C211yesmaximal, characteristic, complemented
11#19146758C211yesmaximal, characteristic, complemented
12#19146743C211yesmaximal, characteristic, complemented
13#19146623C211yesmaximal, characteristic, complemented
14#19146578C211yesmaximal, characteristic, complemented
15#19146194C211yesmaximal, characteristic, complemented
16#19146074C211yesmaximal, characteristic, complemented
17#19146074C211yesmaximal, characteristic, complemented
18#19145275C211yesmaximal, characteristic, complemented
19#19145220C211yesmaximal, characteristic, complemented
20#19145187C211yesmaximal, characteristic, complemented
21#19144845C211yesmaximal, characteristic, complemented
22#19144836C211yesmaximal, characteristic, complemented
23#19144793C211yesmaximal, characteristic, complemented
24#19144776C211yesmaximal, characteristic, complemented
25#19144745C211yesmaximal, characteristic, complemented
26#19144732C211yesmaximal, characteristic, complemented
27#19143579C211yesmaximal, characteristic, complemented
28#19143442C211yesmaximal, characteristic, complemented
29#19143426C211yesmaximal, characteristic, complemented
30#19143400C211yesmaximal, characteristic, complemented
31C43×#3397C211yesmaximal, characteristic, complemented
32C2×#13063352C2211yescharacteristic
33C2×#13063352C2211yescharacteristic
34C2×D8×D43C2211yescharacteristic
35#14583622C2211yescharacteristic, complemented
36#14583614C2211yescharacteristic
37#14583609C2211yescharacteristic, complemented
38#14583609C2211yescharacteristic, complemented
39#14583600—21no—
40#14583599C2211yescharacteristic
41#14583599C2211yescharacteristic, complemented
42#14583599C2211yescharacteristic, complemented
43#14583596—21no—
44#14583590C2211yescharacteristic, complemented
45#14583585—21no—
46#14583576—21no—
47#14583573—21no—
48#14583552C2211yescharacteristic, complemented
49#14583542C2211yescharacteristic, complemented
50#14583542C2211yescharacteristic, complemented
51#14583538—21no—
52#14583538—21no—
53#14583537—21no—
54#14583534C2211yescharacteristic
55#14583534C2211yescharacteristic
56#14583534C2211yescharacteristic, complemented
57#14583518C2211yescharacteristic, complemented
58#14583510C2211yescharacteristic, complemented
59#14583503C2211yescharacteristic
60#14583503C2211yescharacteristic, complemented
61#14583495—21no—
62#14583488—21no—
63#14583481—21no—
64#14583481—21no—
65#14583447C2211yescharacteristic, complemented
66#14583436C2211yescharacteristic
67#14583428C2211yescharacteristic, complemented
68#14583427—21no—
69#126×D43—21no—
70#14583406—21no—
71#121×D43—21no—
72#14583381C2211yescharacteristic, complemented
73#14583371C2211yescharacteristic
74#14583371C2211yescharacteristic, complemented
75#14583371C2211yescharacteristic, complemented
76C4×#10621902C2211yescharacteristic, complemented
77C4×D4×D43C2211yescharacteristic, complemented
78#14583308C2211yescharacteristic, complemented
79#14583308C2211yescharacteristic, complemented
80#14583301C2211yescharacteristic, complemented
81#14583267C2211yescharacteristic, complemented
82#14583263C2211yescharacteristic, complemented
83#14583263C2211yescharacteristic, complemented
84#14583258C2211yescharacteristic, complemented
85#14583253C2211yescharacteristic, complemented
86#14583245C2211yescharacteristic, complemented
87#14583239C2211yescharacteristic, complemented
88#14583239C2211yescharacteristic, complemented
89#14583238C2211yescharacteristic, complemented
90#14583228C2211yescharacteristic, complemented
91#14583222C2211yescharacteristic, complemented
92#14583221C2211yescharacteristic, complemented
93#14583221C2211yescharacteristic, complemented
94#14583221C2211yescharacteristic, complemented
95#14583221C2211yescharacteristic, complemented
96#14583216C2211yescharacteristic, complemented
97#14583211C2211yescharacteristic, complemented
98#14583211C2211yescharacteristic, complemented
99#14583206C2211yescharacteristic, complemented
100#14583200C2211yescharacteristic, complemented
101#14583200C2211yescharacteristic, complemented
102#14583200C2211yescharacteristic, complemented
103#14583200C2211yescharacteristic, complemented
104#14583199C2211yescharacteristic, complemented
105#14583199C2211yescharacteristic, complemented
106#14583199C2211yescharacteristic, complemented
107#14583189C2211yescharacteristic, complemented
108#14583184C2211yescharacteristic, complemented
109#14583180C2211yescharacteristic, complemented
110#14583180C2211yescharacteristic, complemented
111#14583149C2211yescharacteristic, complemented
112#14583149C2211yescharacteristic, complemented
113#14583149C2211yescharacteristic, complemented
114#14583142C2211yescharacteristic, complemented
115#14583142C2211yescharacteristic, complemented
116#14583142C2211yescharacteristic, complemented
117#14583142C2211yescharacteristic, complemented
118#14583142C2211yescharacteristic, complemented
119#14583132C2211yescharacteristic, complemented
120#14583125C2211yescharacteristic, complemented
121#14583125C2211yescharacteristic, complemented
122#14583125C2211yescharacteristic, complemented
123#14583111C2211yescharacteristic
124#14583111C2211yescharacteristic
125#14583101C2211yescharacteristic, complemented
126#14583091C2211yescharacteristic, complemented
127#14583091C2211yescharacteristic, complemented
128#14583091C2211yescharacteristic, complemented
129#14583048C2211yescharacteristic
130#14583048C2211yescharacteristic
131#14583048C2211yescharacteristic, complemented
132#14583048C2211yescharacteristic, complemented
133#14583043C2211yescharacteristic, complemented
134#14583043C2211yescharacteristic, complemented
135#14583043C2211yescharacteristic, complemented
136#14583043C2211yescharacteristic, complemented
137#14583031C2211yescharacteristic
138#14583031C2211yescharacteristic
139#14583031C2211yescharacteristic, complemented
140#14583031C2211yescharacteristic, complemented
141#14583030C2211yescharacteristic, complemented
142#14583012C2211yescharacteristic
143#14583012C2211yescharacteristic
144#14583011C2211yescharacteristic, complemented
145#14583009C2211yescharacteristic
146#14583009C2211yescharacteristic, complemented
147#14583009C2211yescharacteristic, complemented
148#14583008C2211yescharacteristic
149#14583008C2211yescharacteristic, complemented
150#14583008C2211yescharacteristic, complemented
151#14583002C2211yescharacteristic, complemented
152#14583000C2211yescharacteristic, complemented
153#14583000C2211yescharacteristic, complemented
154#14583000C2211yescharacteristic, complemented
155#14582997C2211yescharacteristic, complemented
156SD16×Dic43C2211yescharacteristic, complemented
157SD16×Dic43C2211yescharacteristic, complemented
158SD16×Dic43C2211yescharacteristic, complemented
159C4×#10621884C2211yescharacteristic, complemented
160#14582984C2211yescharacteristic, complemented
161C4×D344C2211yescharacteristic
162D8×Dic43C2211yescharacteristic, complemented
163D8×Dic43C2211yescharacteristic, complemented
164#14582981C2211yescharacteristic
165C4×#10621882C2211yescharacteristic, complemented
166#14582979C2211yescharacteristic, complemented
167#14582978C2211yescharacteristic, complemented
168#14582976C2211yescharacteristic, complemented
169#14582972C2211yescharacteristic, complemented
170#14582972C2211yescharacteristic, complemented
171#14582969C2211yescharacteristic, complemented
172#14582969C2211yescharacteristic, complemented
173#14582959C2211yescharacteristic, complemented
174#14582959C2211yescharacteristic, complemented
175#14582955C2211yescharacteristic, complemented
176#14582940C2211yescharacteristic, complemented
177#14582940C2211yescharacteristic, complemented
178#14582936C2211yescharacteristic, complemented
179#14582902C2211yescharacteristic
180#14582902C2211yescharacteristic, complemented
181#14582902C2211yescharacteristic, complemented
182#14582899C2211yescharacteristic, complemented
183#14582894C2211yescharacteristic, complemented
184#102×D43C2211yescharacteristic, complemented
185#14582856C2211yescharacteristic, complemented
186#14582853C2211yescharacteristic, complemented
187#14582851C2211yescharacteristic, complemented
188C43×#556C2211yescharacteristic, complemented
189C43×#550C2211yescharacteristic, complemented
190C43×#496C2211yescharacteristic, complemented
191C43×#496C2211yescharacteristic, complemented
192C43×#492C2211yescharacteristic, complemented
193C43×#463C2211yescharacteristic, complemented
194C43×#463C2211yescharacteristic, complemented
195C43×#461C2211yescharacteristic, complemented
196C43×#460C2211yescharacteristic, complemented
197C43×#460C2211yescharacteristic, complemented
198C43×#459C2211yescharacteristic, complemented
199C43×#446C2211yescharacteristic, complemented
200C43×#440C2211yescharacteristic, complemented
201C43×#440C2211yescharacteristic, complemented
202C4×D8×C43C2211yescharacteristic, complemented
203C2×#10621902C2311yescharacteristic
204C2×#10621902C2311yescharacteristic
205C2×#10621900—21no—
206C2×D4×D43—21no—
207C2×D4×D43—21no—
208C2×D4×D43—21no—
209C2×D4×D43C2311yescharacteristic
210C2×D4×D43C2311yescharacteristic
211C2×D4×D43C2311yescharacteristic
212C2×D4×D43C2311yescharacteristic
213C22×C4×D43—21no—
214#13063352—24no—
215#13063352—24no—
216C2×#10621884C2311yescharacteristic
217C2×#10621884C2311yescharacteristic
218C2×D344C2311yescharacteristic
219C2×#10621882C2311yescharacteristic
220C2×#10621882C2311yescharacteristic
221C2×#10621882C2311yescharacteristic
222C2×#10621882C2311yescharacteristic
223D8×D43—24no—
224C2×#10621872C2311yescharacteristic
225C2×#10621872C2311yescharacteristic
226C2×#10621872C2311yescharacteristic
227C2×#10621872C2311yescharacteristic
228C2×C8×D43C2311yescharacteristic
229C2×C8×D43C2311yescharacteristic
230#13063325C2311yescharacteristic
231#13063325C2311yescharacteristic
232#13063320—21no—
233#13063320—21no—
234#13063320—21no—
235#13063320—21no—
236#13063320D411yescharacteristic
237#13063320D411yescharacteristic
238#13063319—21no—
239#13063318—21no—
240#13063318—21no—
241#13063318—21no—
242#13063318—21no—
243#13063318—21no—
244#13063317C2311yescharacteristic
245#13063317C2311yescharacteristic
246#13063317C2311yescharacteristic
247#13063317C2311yescharacteristic
248#13063316D411yescharacteristic
249#13063315—21no—
250#13063315—21no—
251#13063315—21no—
252#13063314D411yescharacteristic
253#13063313—21no—
254#13063312—21no—
255#13063311—21no—
256#13063311—21no—
257#13063311—21no—
258#13063310—21no—
259#13063310—21no—
260#13063310—21no—
261#13063310D411yescharacteristic
262#13063310D411yescharacteristic
263#13063309—21no—
264#13063308—21no—
265#13063308—21no—
266#13063308—21no—
267#13063307—21no—
268#13063307—21no—
269#13063307—21no—
270#13063306—21no—
271#13063306—21no—
272#13063306—21no—
273#13063306—21no—
274#13063303—21no—
275#13063303—21no—
276#13063303—21no—
277#13063303—21no—
278#13063302—21no—
279#13063301—21no—
280#13063301—21no—
281#13063301D411yescharacteristic
282#13063301C2311yescharacteristic
283#13063301C2311yescharacteristic
284#13063301C2311yescharacteristic
285#13063301C2311yescharacteristic
286#13063300—21no—
287#13063300D411yescharacteristic
288#13063299—21no—
289#13063298—21no—
290#13063298—21no—
291#13063298—21no—
292#13063298—21no—
293#13063298—21no—
294#13063297—21no—
295#13063297—21no—
296#13063297—21no—
297#13063297—21no—
298#13063296—21no—
299#13063296—21no—
300#13063296—21no—
301#13063296—21no—
302#13063296C2311yescharacteristic
303#13063296C2311yescharacteristic
304#13063296C2311yescharacteristic
305#13063296C2311yescharacteristic
306#13063296C2311yescharacteristic
307#13063296C2311yescharacteristic
308#13063296C2311yescharacteristic
309#13063296C2311yescharacteristic
310#13063295—21no—
311#13063295—21no—
312#13063293—21no—
313#13063293—21no—
314#13063293—21no—
315#13063293—21no—
316#13063293—21no—
317#13063293—21no—
318Q8×Dic43C2311yescharacteristic
319Q8×Dic43C2311yescharacteristic
320C4×Dic86—21no—
321C4×D172—21no—
322C4×D172—21no—
323C4×D172C2311yescharacteristic
324C4×D172C2311yescharacteristic
325C4×D172C2311yescharacteristic
326C4×D172C2311yescharacteristic
327C4×D172C2311yescharacteristic
328C4×D172C2311yescharacteristic
329C4×D172C2311yescharacteristic
330C4×D172C2311yescharacteristic
331C4×D172C2311yescharacteristic
332D4×Dic43—21no—
333D4×Dic43C2311yescharacteristic
334D4×Dic43C2311yescharacteristic
335D4×Dic43C2311yescharacteristic
336D4×Dic43C2311yescharacteristic
337#13063287—21no—
338#13063287—21no—
339#13063287C2311yescharacteristic
340#13063287C2311yescharacteristic
341C4×C22⋊D43—21no—
342C4×C22⋊D43—21no—
343C4×C22⋊D43—21no—
344C4×C22⋊D43—21no—
345C4×C22⋊D43—21no—
346C4×C22⋊D43—21no—
347C4×C22⋊D43—21no—
348(C22⋊D43)⋊C4—21no—
349(C22⋊D43)⋊C4—21no—
350(C22⋊D43)⋊C4—21no—
351(C22⋊D43)⋊C4—21no—
352(C22⋊D43)⋊C4—21no—
353#13063284—21no—
354#13063283—21no—
355#13063283C2311yescharacteristic
356#13063283C2311yescharacteristic
357#13063283C2311yescharacteristic
358#13063283C2311yescharacteristic
359#13063282—21no—
360#13063282—21no—
361#13063282C2311yescharacteristic
362#13063282C2311yescharacteristic
363#13063281—21no—
364C4⋊C4×D43—21no—
365C4⋊C4×D43—21no—
366C4⋊C4×D43—21no—
367C4⋊C4×D43—21no—
368C4⋊C4×D43C2311yescharacteristic
369C4⋊C4×D43C2311yescharacteristic
370C2×(C2×D43)⋊C4—21no—
371C2×(C2×D43)⋊C4—21no—
372C2×(C2×D43)⋊C4—21no—
373C22⋊C4×D43—21no—
374C22⋊C4×D43—21no—
375C22⋊C4×D43—21no—
376C22⋊C4×D43—21no—
377C22⋊C4×D43—21no—
378C22⋊C4×D43—21no—
379C42×D43—21no—
380C42×D43C2311yescharacteristic
381#13063259C2311yescharacteristic
382#13063259C2311yescharacteristic
383#13063259C2311yescharacteristic
384#13063259C2311yescharacteristic
385#13063259C2311yescharacteristic
386#13063258C2311yescharacteristic
387#13063258C2311yescharacteristic
388#13063257C2311yescharacteristic
389#13063257C2311yescharacteristic
390#13063257C2311yescharacteristic
391#13063257C2311yescharacteristic
392#13063256C2311yescharacteristic
393#13063256C2311yescharacteristic
394#13063256C2311yescharacteristic
395#13063256C2311yescharacteristic
396C4⋊(C43⋊C8)C2311yescharacteristic
397C4⋊(C43⋊C8)C2311yescharacteristic
398C4⋊(C43⋊C8)C2311yescharacteristic
399#13063249C2311yescharacteristic
400#13063249C2311yescharacteristic
401#13063249C2311yescharacteristic
402#13063249C2311yescharacteristic
403#13063249C2311yescharacteristic
404#13063249C2311yescharacteristic
405#13063247C2311yescharacteristic
406#13063247C2311yescharacteristic
407#13063247C2311yescharacteristic
408#13063247C2311yescharacteristic
409#13063247C2311yescharacteristic
410#13063247C2311yescharacteristic
411#13063246C2311yescharacteristic
412#13063246C2311yescharacteristic
413#13063246C2311yescharacteristic
414#13063246C2311yescharacteristic
415#13063246C2311yescharacteristic
416#13063246C2311yescharacteristic
417#13063246C2311yescharacteristic
418#13063246C2311yescharacteristic
419#13063246C2311yescharacteristic
420#13063246C2311yescharacteristic
421#13063246C2311yescharacteristic
422#13063246C2311yescharacteristic
423#13063245C2311yescharacteristic
424#13063245C2311yescharacteristic
425(C2×D43)⋊C8C2311yescharacteristic
426(C2×D43)⋊C8C2311yescharacteristic
427(C2×D43)⋊C8C2311yescharacteristic
428(C2×D43)⋊C8C2311yescharacteristic
429(C2×D43)⋊C8C2311yescharacteristic
430(C2×D43)⋊C8C2311yescharacteristic
431#13063236C2311yescharacteristic
432#13063236C2311yescharacteristic
433#13063235C2311yescharacteristic
434#13063235C2311yescharacteristic
435C4×C43⋊C8C2311yescharacteristic
436C8×Dic43C2311yescharacteristic
437C8×Dic43C2311yescharacteristic
438C2×#41×C43—21no—
439C2×SD16×C43C2311yescharacteristic
440C2×SD16×C43C2311yescharacteristic
441C2×SD16×C43C2311yescharacteristic
442C2×SD16×C43C2311yescharacteristic
443C2×SD16×C43C2311yescharacteristic
444C2×SD16×C43C2311yescharacteristic
445C2×D8×C43C2311yescharacteristic
446C2×D8×C43C2311yescharacteristic
447C2×D8×C43C2311yescharacteristic
448C4⋊Q8×C43C2311yescharacteristic
449#127×C43C2311yescharacteristic
450#127×C43C2311yescharacteristic
451#127×C43C2311yescharacteristic
452#126×C43—21no—
453#126×C43—21no—
454#124×C43C2311yescharacteristic
455#124×C43C2311yescharacteristic
456C22⋊Q8×C43—21no—
457#121×C43—21no—
458#121×C43—21no—
459#121×C43—21no—
460C4×Q8×C43C2311yescharacteristic
461C4×Q8×C43C2311yescharacteristic
462C4×Q8×C43C2311yescharacteristic
463C4×D4×C43C2311yescharacteristic
464C4×D4×C43C2311yescharacteristic
465C4×D4×C43C2311yescharacteristic
466C4×D4×C43C2311yescharacteristic
467#117×C43—21no—
468#107×C43C2311yescharacteristic
469C4⋊C8×C43C2311yescharacteristic
470C4⋊C8×C43C2311yescharacteristic
471C4⋊C8×C43C2311yescharacteristic
472#103×C43C2311yescharacteristic
473#103×C43C2311yescharacteristic
474#102×C43C2311yescharacteristic
475#102×C43C2311yescharacteristic
476#102×C43C2311yescharacteristic
477#102×C43C2311yescharacteristic
478#97×C43C2311yescharacteristic
479#97×C43C2311yescharacteristic
480C4×C8×C43C2311yescharacteristic
481C23×D43—21no—
482C23×D43—21no—
483C23×D43—21no—
484C23×D43—21no—
485#41×C43—82no—
486C2×Q8×C43C2×D411yescharacteristic
487C2×Q8×C43C2411yescharacteristic
488C2×Q8×C43C2411yescharacteristic
489C2×D4×C43—21no—
490C2×D4×C43—21no—
491C2×D4×C43—21no—
492C2×D4×C43—21no—
493C2×D4×C43—21no—
494C2×D4×C43—21no—
495C2×D4×C43C2411yescharacteristic
496C2×D4×C43C2411yescharacteristic
497C2×D4×C43C2411yescharacteristic
498C2×D4×C43C2411yescharacteristic
499C22×C4×C43—21no—
500C22×C4×C43—21no—
501C22×C4×C43—21no—
502C22×C4×C43—21no—
503C2×C22⋊D43—21no—
504C2×C22⋊D43—21no—
505C2×C22⋊D43—21no—
506C2×C22⋊D43—21no—
507C2×C22⋊D43—21no—
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—
515C22×Dic43—21no—
516C22×Dic43—21no—
517C22×Dic43—21no—
518C22×Dic43—21no—
519#10621902—22no—
520#10621902—22no—
521#10621902—41no—
522#10621902—41no—
523#10621900—82no—
524D4×D43—22no—
525D4×D43—22no—
526D4×D43—22no—
527D4×D43—22no—
528D4×D43—41no—
529D4×D43—41no—
530D4×D43—41no—
531D4×D43—41no—
532D4×D43—82no—
533D4×D43—82no—
534D4×D43—82no—
535C2×D172—21no—
536C2×D172—21no—
537C2×D172C2×D411yescharacteristic
538C2×D172C2×D411yescharacteristic
539C2×D172C2×D411yescharacteristic
540C2×D172C2411yescharacteristic
541C2×D172C2411yescharacteristic
542C2×C4×D43—21no—
543C2×C4×D43—21no—
544C2×C4×D43—21no—
545C2×C4×D43—21no—
546C2×C4×D43—21no—
547C2×C4×D43—21no—
548C2×C4×D43—21no—
549C2×C4×D43—21no—
550C2×C4×D43—21no—
551C2×C4×D43—21no—
552C2×C4×D43—21no—
553C2×C4×D43—21no—
554C2×C4×D43—82no—
555C2×C4×D43C2×D411yescharacteristic
556C2×C4×D43C2×D411yescharacteristic
557C2×C4×D43C2411yescharacteristic
558C2×C4×D43C2411yescharacteristic
559C2×C4×D43C2411yescharacteristic
560C2×Dic86—21no—
561C2×Dic86—21no—
562SD16×C43—22no—
563SD16×C43—22no—
564SD16×C43—41no—
565SD16×C43—41no—
566SD16×C43—41no—
567SD16×C43—41no—
568D8×C43—22no—
569D8×C43—41no—
570D8×C43—41no—
571C2×C8×C43C2411yescharacteristic
572C2×C8×C43C2411yescharacteristic
573C2×C8×C43C2411yescharacteristic
574C2×C8×C43C2411yescharacteristic
575C4⋊C4×C43—21no—
576C4⋊C4×C43—21no—
577C4⋊C4×C43—21no—
578C4⋊C4×C43—21no—
579C4⋊C4×C43C2×D411yescharacteristic
580C4⋊C4×C43C2×D411yescharacteristic
581C4⋊C4×C43C2×D411yescharacteristic
582C4⋊C4×C43C2411yescharacteristic
583C4⋊C4×C43C2411yescharacteristic
584C22⋊C4×C43—21no—
585C22⋊C4×C43—21no—
586C22⋊C4×C43—21no—
587C22⋊C4×C43—21no—
588C22⋊C4×C43—21no—
589C22⋊C4×C43—21no—
590C22⋊C4×C43—21no—
591C22⋊C4×C43—21no—
592C42×C43—21no—
593C42×C43—21no—
594C42×C43C2411yescharacteristic
595C42×C43C2411yescharacteristic
596C42×C43C2411yescharacteristic
597C22⋊Dic43—21no—
598C22⋊Dic43—21no—
599C22⋊Dic43—21no—
600C22⋊Dic43—21no—
601C22⋊Dic43—21no—
602C22⋊Dic43—21no—
603C22⋊Dic43—21no—
604C22⋊Dic43—21no—
605C22⋊Dic43—21no—
606C22⋊Dic43—21no—
607C22⋊Dic43—21no—
608C22⋊Dic43—21no—
609#10621884—22no—
610#10621884—22no—
611#10621882—22no—
612#10621882—22no—
613#10621882—22no—
614#10621882—22no—
615(C2×D43)⋊C4—21no—
616(C2×D43)⋊C4—21no—
617(C2×D43)⋊C4—21no—
618(C2×D43)⋊C4—21no—
619(C2×D43)⋊C4—21no—
620(C2×D43)⋊C4—21no—
621(C2×D43)⋊C4—21no—
622(C2×D43)⋊C4—21no—
623(C2×D43)⋊C4—21no—
624(C2×D43)⋊C4—21no—
625(C2×D43)⋊C4—21no—
626(C2×D43)⋊C4—21no—
627(C2×D43)⋊C4—21no—
628(C2×D43)⋊C4—21no—
629(C2×D43)⋊C4—21no—
630(C2×D43)⋊C4—21no—
631(C2×D43)⋊C4C2×D411yescharacteristic
632(C2×D43)⋊C4C2×D411yescharacteristic
633(C2×D43)⋊C4C2×D411yescharacteristic
634(C2×D43)⋊C4C2×D411yescharacteristic
635(C2×D43)⋊C4C2×D411yescharacteristic
636(C2×D43)⋊C4C2×D411yescharacteristic
637(C2×D43)⋊C4C2×D411yescharacteristic
638(C2×D43)⋊C4C2×D411yescharacteristic
639(C2×D43)⋊C4C2×D411yescharacteristic
640(C2×D43)⋊C4C2×D411yescharacteristic
641C4⋊Dic43—21no—
642C4⋊Dic43—21no—
643C4⋊Dic43—21no—
644C4⋊Dic43—21no—
645C4⋊Dic43C2×D411yescharacteristic
646C4⋊Dic43C2×D411yescharacteristic
647C4⋊Dic43C2×D411yescharacteristic
648C4⋊Dic43C2411yescharacteristic
649C4⋊Dic43C2411yescharacteristic
650C4⋊Dic43C2411yescharacteristic
651C4⋊Dic43C2411yescharacteristic
652C4⋊Dic43C2411yescharacteristic
653C4⋊Dic43C2411yescharacteristic
654Dic43⋊C4—21no—
655Dic43⋊C4—21no—
656Dic43⋊C4—21no—
657Dic43⋊C4—21no—
658Dic43⋊C4—21no—
659Dic43⋊C4—21no—
660Dic43⋊C4—21no—
661Dic43⋊C4—21no—
662Dic43⋊C4—21no—
663Dic43⋊C4—21no—
664Dic43⋊C4—21no—
665Dic43⋊C4—21no—
666Dic43⋊C4—21no—
667Dic43⋊C4—21no—
668Dic43⋊C4C2×D411yescharacteristic
669Dic43⋊C4C2×D411yescharacteristic
670Dic43⋊C4C2×D411yescharacteristic
671Dic43⋊C4C2×D411yescharacteristic
672C4×Dic43—21no—
673C4×Dic43—21no—
674C4×Dic43—21no—
675C4×Dic43—21no—
676C4×Dic43—21no—
677C4×Dic43—21no—
678C4×Dic43C2×D411yescharacteristic
679C4×Dic43C2×D411yescharacteristic
680C4×Dic43C2411yescharacteristic
681C2×C43⋊C8C2411yescharacteristic
682C2×C43⋊C8C2411yescharacteristic
683C2×C43⋊C8C2411yescharacteristic
684C2×C43⋊C8C2411yescharacteristic
685D344#4114yescomplemented
686#10621872—22no—
687#10621872—22no—
688#10621872—41no—
689#10621872—41no—
690C8×D43—22no—
691C8×D43—41no—
692C23×C43—21no—
693C23×C43—21no—
694C23×C43—21no—
695C23×C43—21no—
696C22×D43—21no—
697C22×D43—21no—
698C22×D43—42no—
699C22×D43—42no—
700C22×D43—42no—
701C22×D43—42no—
702C22×D43—42no—
703C22×D43—81no—
704C22×D43—81no—
705C22×D43—81no—
706C22×D43—81no—
707C22×D43—81no—
708C22×D43—81no—
709C22×D43—81no—
710C22×D43C22×D411yescharacteristic
711C22×D43C22×D411yescharacteristic
712C22×D43C22×D411yescharacteristic
713Q8×C43—21no—
714Q8×C43—21no—
715Q8×C43—21no—
716Q8×C43—21no—
717Q8×C43—41no—
718D4×C43—21no—
719D4×C43—21no—
720D4×C43—21no—
721D4×C43—21no—
722D4×C43—21no—
723D4×C43—21no—
724D4×C43—21no—
725D4×C43—21no—
726D4×C43—42no—
727D4×C43—81no—
728D4×C43—81no—
729D4×C43—81no—
730D4×C43—81no—
731D4×C43—81no—
732C2×C4×C43—21no—
733C2×C4×C43—21no—
734C2×C4×C43—21no—
735C2×C4×C43—21no—
736C2×C4×C43—42no—
737C2×C4×C43—81no—
738C2×C4×C43—81no—
739C2×C4×C43—81no—
740C2×C4×C43C22×D411yescharacteristic
741C2×C4×C43C22×D411yescharacteristic
742C2×C4×C43C22×D411yescharacteristic
743C2×C4×C43C22×D411yescharacteristic
744C2×C4×C43C22×D411yescharacteristic
745C2×C4×C43C22×D411yescharacteristic
746C2×C4×C43C2511yescharacteristic
747C22⋊D43—42no—
748C22⋊D43—42no—
749C22⋊D43—42no—
750C22⋊D43—42no—
751C22⋊D43—42no—
752C22⋊D43—42no—
753C22⋊D43—81no—
754C22⋊D43—81no—
755C22⋊D43—81no—
756C22⋊D43—81no—
757C22⋊D43—81no—
758C22⋊D43—81no—
759C2×Dic43—21no—
760C2×Dic43—21no—
761C2×Dic43—21no—
762C2×Dic43—21no—
763C2×Dic43—21no—
764C2×Dic43—21no—
765C2×Dic43—81no—
766C2×Dic43—81no—
767C2×Dic43—81no—
768C2×Dic43—81no—
769C2×Dic43C22×D411yescharacteristic
770C2×Dic43C22×D411yescharacteristic
771C2×Dic43C22×D411yescharacteristic
772C2×Dic43C22×D411yescharacteristic
773C2×Dic43C22×D411yescharacteristic
774D172—21no—
775D172—21no—
776D172—41no—
777D172—41no—
778D172—41no—
779D172—42no—
780D172—42no—
781D172C2×#4112yes—
782D172C2×#4112yes—
783C4×D43—21no—
784C4×D43—21no—
785C4×D43—21no—
786C4×D43—21no—
787C4×D43—21no—
788C4×D43—21no—
789C4×D43—41no—
790C4×D43—41no—
791C4×D43—42no—
792C4×D43—42no—
793C4×D43—42no—
794C4×D43—81no—
795C4×D43—81no—
796C4×D43—81no—
797C4×D43—81no—
798C4×D43—81no—
799C4×D43—81no—
800C4×D43—81no—
801C4×D43—81no—
802C4×D43—81no—
803Dic86—81no—
804Dic86—81no—
805C8×C43—21no—
806C8×C43—21no—
807C8×C43—21no—
808C8×C43C2×#4112yes—
809C43⋊C8—21no—
810C43⋊C8—21no—
811C43⋊C8—21no—
812C43⋊C8—21no—
813#61506—431nomaximal, Sylow
814C22×C43—41no—
815C22×C43—41no—
816C22×C43—41no—
817C22×C43—41no—
818C22×C43—41no—
819C22×C43—41no—
820C22×C43—41no—
821C22×C43—41no—
822C22×C43—41no—
823C22×C43—41no—
824C22×C43—41no—
825C22×C43—41no—
826C22×C43C23×D411yescharacteristic
827C2×D43—21no—
828C2×D43—21no—
829C2×D43—21no—
830C2×D43—21no—
831C2×D43—21no—
832C2×D43—21no—
833C2×D43—22no—
834C2×D43—22no—
835C2×D43—21no—
836C2×D43—21no—
837C2×D43—21no—
838C2×D43—41no—
839C2×D43—41no—
840C2×D43—41no—
841C2×D43—41no—
842C2×D43—84no—
843C2×D43—162no—
844C2×D43—162no—
845C2×D43—162no—
846C4×C43—21no—
847C4×C43—21no—
848C4×C43—21no—
849C4×C43—21no—
850C4×C43—21no—
851C4×C43—21no—
852C4×C43—41no—
853C4×C43—41no—
854C4×C43—41no—
855C4×C43—41no—
856C4×C43C22×#4111yescharacteristic
857C4×C43#58511yescharacteristic
858Dic43—21no—
859Dic43—21no—
860Dic43—21no—
861Dic43—21no—
862Dic43—21no—
863Dic43—41no—
864Dic43—41no—
865Dic43—41no—
866Dic43—41no—
867Dic43—41no—
868Dic43—41no—
869#3521—431no—
870#3519—431no—
871#3397D4311yescharacteristic, complemented
872#3389—431no—
873#3376—431no—
874#3366—431no—
875#3355—431no—
876#3350—431no—
877#3348—431no—
878#3324—431no—
879#3322—431no—
880#3319—431no—
881#3318—431no—
882#3310—431no—
883#3307—431no—
884#3272—431no—
885#3264—431no—
886#3264—431no—
887#3179—431no—
888#3174—431no—
889#3171—431no—
890#3123—431no—
891#3122—431no—
892#3119—431no—
893#3118—431no—
894#3115—431no—
895#3114—431no—
896#2967—431no—
897#2948—431no—
898#2946—431no—
899C4×AGL(1,ℤ/8)—431no—
900C2×C43—81no—
901C2×C43—81no—
902C2×C43—81no—
903C2×C43—81no—
904C2×C43D4×#4111yescharacteristic
905C2×C43#358511yescharacteristic
906C2×C43#358511yescharacteristic
907D43—41no—
908D43—41no—
909D43—41no—
910D43—42no—
911D43—42no—
912C2×AGL(1,ℤ/8)—431no—
913C2×AGL(1,ℤ/8)—431no—
914C22×D8—431no—
915#556—431no—
916#556C2×D4311yescharacteristic, complemented
917#555—431no—
918#554—431no—
919#554—431no—
920#553—431no—
921#553—431no—
922#553—431no—
923#553—861no—
924#553—861no—
925#552—431no—
926#552—861no—
927#551—861no—
928#551—861no—
929#550C2×D4311yescharacteristic, complemented
930#547—431no—
931#546—431no—
932#546—431no—
933#546—861no—
934#546—861no—
935#546—861no—
936D42—431no—
937D42—431no—
938D42—431no—
939#542—431no—
940#541—431no—
941#540—431no—
942#540—431no—
943#539—861no—
944#538—861no—
945#538—861no—
946#538—861no—
947#532—431no—
948#529—431no—
949#529—431no—
950#529—861no—
951C2×#126—861no—
952#525—861no—
953C2×#121—861no—
954#520—431no—
955#518—431no—
956#518—431no—
957#518—431no—
958C4×#41—431no—
959C2×C4×D4—431no—
960#501—431no—
961#501—431no—
962#499—431no—
963#496C2×D4311yescharacteristic, complemented
964#496C2×D4311yescharacteristic, complemented
965#492C2×D4311yescharacteristic, complemented
966#491—431no—
967#490—431no—
968#490—431no—
969#489—431no—
970#488—431no—
971#486—431no—
972#485—431no—
973#485—431no—
974#485—431no—
975#483—431no—
976#482—431no—
977#482—431no—
978#482—431no—
979#482—431no—
980#482—431no—
981#481—431no—
982#480—431no—
983#480—431no—
984#479—431no—
985#478—431no—
986#478—431no—
987#478—431no—
988#478—431no—
989#478—431no—
990#478—431no—
991#478—431no—
992#476—431no—
993#475—431no—
994#474—431no—
995#474—431no—
996#469—431no—
997#469—431no—
998#469—431no—
999#468—431no—
1000#468—431no—
1001#468—431no—
1002#468—431no—
1003#468—431no—
1004#466—431no—
1005#465—431no—
1006#465—431no—
1007#465—431no—
1008#463—431no—
1009#463—431no—
1010#463C2×D4311yescharacteristic, complemented
1011#463C2×D4311yescharacteristic, complemented
1012#461—431no—
1013#461C2×D4311yescharacteristic, complemented
1014#460C2×D4311yescharacteristic, complemented
1015#460C2×D4311yescharacteristic, complemented
1016#459—431no—
1017#459—431no—
1018#459—431no—
1019#459C2×D4311yescharacteristic, complemented
1020#450—431no—
1021#450—431no—
1022#450—431no—
1023#450—431no—
1024#449—431no—
1025#449—431no—
1026#449—431no—
1027#449—431no—
1028#447—431no—
1029#447—431no—
1030#447—431no—
1031#447—431no—
1032#446—431no—
1033#446C2×D4311yescharacteristic, complemented
1034#442—431no—
1035#442—431no—
1036#442—431no—
1037#442—431no—
1038#442—431no—
1039#442—431no—
1040#442—431no—
1041#442—431no—
1042#442—431no—
1043#440—431no—
1044#440—431no—
1045#440—431no—
1046#440—431no—
1047#440—431no—
1048#440C2×D4311yescharacteristic, complemented
1049#440C2×D4311yescharacteristic, complemented
1050C4×SD16—431no—
1051C4×SD16—431no—
1052C4×SD16—431no—
1053C4×SD16—431no—
1054C4×SD16—431no—
1055C4×D8—431no—
1056C4×D8—431no—
1057C4×D8—431no—
1058C4×D8—431no—
1059C4×D8—431no—
1060C4×D8—431no—
1061C4×D8C2×D4311yescharacteristic, complemented
1062#436—431no—
1063#436—431no—
1064#435—431no—
1065#435—431no—
1066#435—431no—
1067#435—431no—
1068#433—431no—
1069#433—431no—
1070#432—431no—
1071#428—431no—
1072#428—431no—
1073#427—431no—
1074#418—431no—
1075#418—431no—
1076#418—431no—
1077#417—431no—
1078#416—431no—
1079C2×#102—431no—
1080#405—431no—
1081#405—431no—
1082C4×M16—431no—
1083C43#6150611yescharacteristic, complemented, Sylow
1084C2×#41—21no—
1085C2×#41—431no—
1086C2×#41—431no—
1087C2×#41—861no—
1088C22×D4—431no—
1089C22×D4—431no—
1090C22×D4—431no—
1091C22×D4—431no—
1092C22×D4—861no—
1093C22×D4—861no—
1094C22×D4—861no—
1095C23×C4—861no—
1096AGL(1,ℤ/8)—864no—
1097AGL(1,ℤ/8)—864no—
1098C2×SD16—431no—
1099C2×SD16—431no—
1100C2×SD16C22×D4311yescharacteristic
1101C2×SD16C22×D4311yescharacteristic
1102C2×SD16C22×D4311yescharacteristic
1103C2×SD16C22×D4311yescharacteristic
1104C2×SD16C22×D4311yescharacteristic
1105C2×SD16C22×D4311yescharacteristic
1106C2×D8—431no—
1107C2×D8—431no—
1108C2×D8—431no—
1109C2×D8—431no—
1110C2×D8—431no—
1111C2×D8—864no—
1112C2×D8C22×D4311yescharacteristic
1113C2×D8C22×D4311yescharacteristic
1114C2×D8C22×D4311yescharacteristic
1115C2×M16—431no—
1116C2×M16—431no—
1117C2×M16—431no—
1118C2×M16—431no—
1119C22×C8—431no—
1120C22×C8—431no—
1121C4⋊Q8—431no—
1122C4⋊Q8—431no—
1123C4⋊Q8C22×D4311yescharacteristic
1124#127C22×D4311yescharacteristic
1125#127C22×D4311yescharacteristic
1126#127C22×D4311yescharacteristic
1127#126—21no—
1128#126—21no—
1129#126—431no—
1130#126—431no—
1131#126—861no—
1132#126—861no—
1133#126—861no—
1134#126—861no—
1135#126—861no—
1136#126—861no—
1137#126—861no—
1138#126—861no—
1139#126—861no—
1140#126—861no—
1141#125—431no—
1142#125—431no—
1143#125—431no—
1144#125—431no—
1145#125—431no—
1146#125—861no—
1147#125—861no—
1148#125—861no—
1149#124—431no—
1150#124—861no—
1151#124—861no—
1152#124—861no—
1153#124—861no—
1154#124—861no—
1155#124C22×D4311yescharacteristic
1156#124C22×D4311yescharacteristic
1157#123—431no—
1158#123—431no—
1159#123—861no—
1160#123—861no—
1161#123—861no—
1162#123—861no—
1163#123—861no—
1164#123—861no—
1165#123—861no—
1166#123—861no—
1167#123—861no—
1168#123—861no—
1169#123—861no—
1170#123—861no—
1171#123—861no—
1172#123—861no—
1173C22⋊Q8—21no—
1174C22⋊Q8—431no—
1175C22⋊Q8—431no—
1176C22⋊Q8—431no—
1177C22⋊Q8—431no—
1178C22⋊Q8—431no—
1179C22⋊Q8—861no—
1180C22⋊Q8—861no—
1181C22⋊Q8—861no—
1182C22⋊Q8—861no—
1183C22⋊Q8—861no—
1184C22⋊Q8—861no—
1185C22⋊Q8—861no—
1186#121—21no—
1187#121—21no—
1188#121—21no—
1189#121—431no—
1190#121—431no—
1191#121—431no—
1192#121—431no—
1193#121—431no—
1194#121—431no—
1195#121—431no—
1196#121—431no—
1197#121—431no—
1198#121—861no—
1199#121—861no—
1200#121—861no—
1201#121—861no—
1202#121—861no—
1203#121—861no—
1204#121—861no—
1205#121—861no—
1206#121—861no—
1207#121—861no—
1208#121—861no—
1209#121—861no—
1210#121—861no—
1211#121—861no—
1212#121—861no—
1213#120—861no—
1214#120—861no—
1215#120—861no—
1216#120—861no—
1217#120—861no—
1218#120—861no—
1219#120—861no—
1220#120—861no—
1221C4×Q8—431no—
1222C4×Q8—431no—
1223C4×Q8—861no—
1224C4×Q8C22×D4311yescharacteristic
1225C4×Q8C22×D4311yescharacteristic
1226C4×Q8C22×D4311yescharacteristic
1227C4×D4—431no—
1228C4×D4—431no—
1229C4×D4—431no—
1230C4×D4—431no—
1231C4×D4—431no—
1232C4×D4—431no—
1233C4×D4—431no—
1234C4×D4—431no—
1235C4×D4—431no—
1236C4×D4—431no—
1237C4×D4—431no—
1238C4×D4—431no—
1239C4×D4—431no—
1240C4×D4—431no—
1241C4×D4—431no—
1242C4×D4—861no—
1243C4×D4—861no—
1244C4×D4—861no—
1245C4×D4—861no—
1246C4×D4—861no—
1247C4×D4—861no—
1248C4×D4—861no—
1249C4×D4—861no—
1250C4×D4—861no—
1251C4×D4—861no—
1252C4×D4—861no—
1253C4×D4—861no—
1254C4×D4—861no—
1255C4×D4—861no—
1256C4×D4—861no—
1257C4×D4—861no—
1258C4×D4—861no—
1259C4×D4C22×D4311yescharacteristic
1260C4×D4C22×D4311yescharacteristic
1261C4×D4C22×D4311yescharacteristic
1262C4×D4C22×D4311yescharacteristic
1263#117—21no—
1264#117—431no—
1265#117—431no—
1266#117—431no—
1267#117—431no—
1268#117—431no—
1269#117—431no—
1270#117—861no—
1271#117—861no—
1272#117—861no—
1273#117—861no—
1274#117—861no—
1275C2×C4⋊C4—431no—
1276C2×C4⋊C4—431no—
1277C2×C4⋊C4—861no—
1278C2×C4⋊C4—861no—
1279C2×C4⋊C4—861no—
1280C2×C4⋊C4—861no—
1281C2×C22⋊C4—861no—
1282C2×C22⋊C4—861no—
1283C2×C22⋊C4—861no—
1284C2×C22⋊C4—861no—
1285C2×C22⋊C4—861no—
1286C2×C22⋊C4—861no—
1287C2×C22⋊C4—861no—
1288C2×C22⋊C4—861no—
1289C2×C22⋊C4—861no—
1290C2×C42—431no—
1291C2×C42—861no—
1292#107—431no—
1293#107—431no—
1294#107—431no—
1295#107—431no—
1296#107—431no—
1297#107—431no—
1298#107—431no—
1299#107C22×D4311yescharacteristic
1300#106—431no—
1301#106—431no—
1302#106—431no—
1303#106—431no—
1304#106—431no—
1305#106—431no—
1306#106—431no—
1307#106—431no—
1308C4⋊C8—431no—
1309C4⋊C8—431no—
1310C4⋊C8—431no—
1311C4⋊C8C22×D4311yescharacteristic
1312C4⋊C8C22×D4311yescharacteristic
1313C4⋊C8C22×D4311yescharacteristic
1314#103—431no—
1315#103—431no—
1316#103—431no—
1317#103—431no—
1318#103—431no—
1319#103—431no—
1320#103C22×D4311yescharacteristic
1321#103C22×D4311yescharacteristic
1322#102—431no—
1323#102—431no—
1324#102—431no—
1325#102—431no—
1326#102—431no—
1327#102—431no—
1328#102—431no—
1329#102—431no—
1330#102—431no—
1331#102—431no—
1332#102—431no—
1333#102—431no—
1334#102—431no—
1335#102—431no—
1336#102—431no—
1337#102—431no—
1338#102—431no—
1339#102—431no—
1340#102—431no—
1341#102—431no—
1342#102C22×D4311yescharacteristic
1343#102C22×D4311yescharacteristic
1344#102C22×D4311yescharacteristic
1345#102C22×D4311yescharacteristic
1346C22⋊C8—431no—
1347C22⋊C8—431no—
1348C22⋊C8—431no—
1349C22⋊C8—431no—
1350C22⋊C8—431no—
1351C22⋊C8—431no—
1352#97—431no—
1353#97—431no—
1354#97—431no—
1355#97—431no—
1356#97C22×D4311yescharacteristic
1357#97C22×D4311yescharacteristic
1358C4×C8—431no—
1359C4×C8—431no—
1360C4×C8—431no—
1361C4×C8C22×D4311yescharacteristic
1362C24—861no—
1363C24—861no—
1364C24—861no—
1365C24—861no—
1366#41—82no—
1367#41—862no—
1368#41—862no—
1369#41—3442no—
1370#41—1721no—
1371#41—1721no—
1372C2×Q8—861no—
1373C2×Q8—861no—
1374C2×Q8D4×D4311yescharacteristic
1375C2×Q8C23×D4311yescharacteristic
1376C2×Q8C23×D4311yescharacteristic
1377C2×D4—21no—
1378C2×D4—21no—
1379C2×D4—21no—
1380C2×D4—21no—
1381C2×D4—21no—
1382C2×D4—21no—
1383C2×D4—431no—
1384C2×D4—431no—
1385C2×D4—431no—
1386C2×D4—431no—
1387C2×D4—431no—
1388C2×D4—861no—
1389C2×D4—861no—
1390C2×D4—861no—
1391C2×D4—861no—
1392C2×D4—861no—
1393C2×D4—861no—
1394C2×D4—862no—
1395C2×D4—862no—
1396C2×D4—862no—
1397C2×D4—862no—
1398C2×D4—861no—
1399C2×D4—861no—
1400C2×D4—861no—
1401C2×D4—861no—
1402C2×D4—861no—
1403C2×D4—861no—
1404C2×D4—861no—
1405C2×D4—861no—
1406C2×D4—3442no—
1407C2×D4—3442no—
1408C2×D4—3442no—
1409C2×D4—1721no—
1410C2×D4—1721no—
1411C2×D4—1721no—
1412C2×D4—1721no—
1413C2×D4C23×D4311yescharacteristic
1414C2×D4C23×D4311yescharacteristic
1415C2×D4C23×D4311yescharacteristic
1416C2×D4C23×D4311yescharacteristic
1417C22×C4—21no—
1418C22×C4—21no—
1419C22×C4—21no—
1420C22×C4—21no—
1421C22×C4—431no—
1422C22×C4—431no—
1423C22×C4—431no—
1424C22×C4—431no—
1425C22×C4—431no—
1426C22×C4—861no—
1427C22×C4—861no—
1428C22×C4—861no—
1429C22×C4—861no—
1430C22×C4—861no—
1431C22×C4—861no—
1432C22×C4—861no—
1433C22×C4—861no—
1434C22×C4—861no—
1435C22×C4—861no—
1436C22×C4—861no—
1437C22×C4—861no—
1438C22×C4—861no—
1439C22×C4—861no—
1440C22×C4—861no—
1441C22×C4—861no—
1442C22×C4—3442no—
1443SD16—22no—
1444SD16—22no—
1445SD16—41no—
1446SD16—41no—
1447SD16—41no—
1448SD16—41no—
1449SD16—862no—
1450SD16—862no—
1451D8—22no—
1452D8—41no—
1453D8—41no—
1454D8—434no—
1455D8—862no—
1456D8—862no—
1457D8—862no—
1458D8—862no—
1459M16—862no—
1460M16—862no—
1461M16—1721no—
1462M16—1721no—
1463C2×C8—431no—
1464C2×C8—431no—
1465C2×C8—431no—
1466C2×C8—431no—
1467C2×C8—862no—
1468C2×C8—1721no—
1469C2×C8C23×D4311yescharacteristic
1470C2×C8C23×D4311yescharacteristic
1471C2×C8C23×D4311yescharacteristic
1472C2×C8C23×D4311yescharacteristic
1473C4⋊C4—21no—
1474C4⋊C4—21no—
1475C4⋊C4—21no—
1476C4⋊C4—21no—
1477C4⋊C4—431no—
1478C4⋊C4—431no—
1479C4⋊C4—431no—
1480C4⋊C4—431no—
1481C4⋊C4—431no—
1482C4⋊C4—431no—
1483C4⋊C4—431no—
1484C4⋊C4—431no—
1485C4⋊C4—431no—
1486C4⋊C4—431no—
1487C4⋊C4—431no—
1488C4⋊C4—431no—
1489C4⋊C4—431no—
1490C4⋊C4—861no—
1491C4⋊C4—861no—
1492C4⋊C4—861no—
1493C4⋊C4—861no—
1494C4⋊C4—861no—
1495C4⋊C4—861no—
1496C4⋊C4—861no—
1497C4⋊C4—861no—
1498C4⋊C4—861no—
1499C4⋊C4—861no—
1500C4⋊C4—861no—
1501C4⋊C4—861no—
1502C4⋊C4—861no—
1503C4⋊C4—861no—
1504C4⋊C4—861no—
1505C4⋊C4—861no—
1506C4⋊C4—861no—
1507C4⋊C4—861no—
1508C4⋊C4D4×D4311yescharacteristic
1509C4⋊C4D4×D4311yescharacteristic
1510C4⋊C4D4×D4311yescharacteristic
1511C4⋊C4C23×D4311yescharacteristic
1512C4⋊C4C23×D4311yescharacteristic
1513C22⋊C4—21no—
1514C22⋊C4—21no—
1515C22⋊C4—21no—
1516C22⋊C4—21no—
1517C22⋊C4—21no—
1518C22⋊C4—21no—
1519C22⋊C4—21no—
1520C22⋊C4—21no—
1521C22⋊C4—431no—
1522C22⋊C4—431no—
1523C22⋊C4—431no—
1524C22⋊C4—431no—
1525C22⋊C4—431no—
1526C22⋊C4—431no—
1527C22⋊C4—431no—
1528C22⋊C4—431no—
1529C22⋊C4—431no—
1530C22⋊C4—431no—
1531C22⋊C4—861no—
1532C22⋊C4—861no—
1533C22⋊C4—861no—
1534C22⋊C4—861no—
1535C22⋊C4—861no—
1536C22⋊C4—861no—
1537C22⋊C4—861no—
1538C22⋊C4—861no—
1539C22⋊C4—861no—
1540C22⋊C4—861no—
1541C22⋊C4—861no—
1542C22⋊C4—861no—
1543C22⋊C4—861no—
1544C22⋊C4—861no—
1545C22⋊C4—861no—
1546C22⋊C4—861no—
1547C22⋊C4—861no—
1548C22⋊C4—861no—
1549C22⋊C4—861no—
1550C22⋊C4—861no—
1551C22⋊C4—861no—
1552C22⋊C4—861no—
1553C22⋊C4—861no—
1554C22⋊C4—861no—
1555C22⋊C4—861no—
1556C22⋊C4—861no—
1557C22⋊C4—861no—
1558C22⋊C4—861no—
1559C42—21no—
1560C42—21no—
1561C42—431no—
1562C42—431no—
1563C42—431no—
1564C42—861no—
1565C42—861no—
1566C42—861no—
1567C42—861no—
1568C42—861no—
1569C42—861no—
1570C42C23×D4311yescharacteristic
1571C42C23×D4311yescharacteristic
1572C42C23×D4311yescharacteristic
1573C23—21no—
1574C23—21no—
1575C23—21no—
1576C23—21no—
1577C23—431no—
1578C23—431no—
1579C23—431no—
1580C23—861no—
1581C23—861no—
1582C23—3441no—
1583C23—3441no—
1584C23—3441no—
1585C23—3441no—
1586C23—3441no—
1587C23—3441no—
1588C23—3441no—
1589C23—1722no—
1590C23—1722no—
1591C23—1722no—
1592C23—1722no—
1593C23—1722no—
1594Q8—21no—
1595Q8—21no—
1596Q8—21no—
1597Q8—21no—
1598Q8—41no—
1599Q8—3441no—
1600Q8—3441no—
1601D4—21no—
1602D4—21no—
1603D4—21no—
1604D4—21no—
1605D4—21no—
1606D4—21no—
1607D4—21no—
1608D4—21no—
1609D4—42no—
1610D4—81no—
1611D4—81no—
1612D4—81no—
1613D4—81no—
1614D4—81no—
1615D4—432no—
1616D4—432no—
1617D4—861no—
1618D4—861no—
1619D4—3441no—
1620D4—3441no—
1621D4—3441no—
1622D4—3441no—
1623D4—3441no—
1624D4—3441no—
1625D4—1721no—
1626D4—1721no—
1627D4—1721no—
1628D4—1722no—
1629D4—1722no—
1630D4—1722no—
1631D4—1722no—
1632D4—1722no—
1633D4—1722no—
1634D4—1722no—
1635D4—1722no—
1636C2×C4—21no—
1637C2×C4—21no—
1638C2×C4—21no—
1639C2×C4—21no—
1640C2×C4—42no—
1641C2×C4—81no—
1642C2×C4—81no—
1643C2×C4—81no—
1644C2×C4—431no—
1645C2×C4—431no—
1646C2×C4—431no—
1647C2×C4—431no—
1648C2×C4—431no—
1649C2×C4—861no—
1650C2×C4—861no—
1651C2×C4—861no—
1652C2×C4—861no—
1653C2×C4—861no—
1654C2×C4—861no—
1655C2×C4—861no—
1656C2×C4—861no—
1657C2×C4—861no—
1658C2×C4—861no—
1659C2×C4—861no—
1660C2×C4—861no—
1661C2×C4—3441no—
1662C2×C4—3441no—
1663C2×C4—3441no—
1664C2×C4—3441no—
1665C2×C4—3441no—
1666C2×C4—3441no—
1667C2×C4—3441no—
1668C2×C4—3441no—
1669C2×C4—3441no—
1670C2×C4—3441no—
1671C2×C4—3441no—
1672C2×C4—3441no—
1673C2×C4—3441no—
1674C2×C4—1721no—
1675C2×C4—1721no—
1676C2×C4—1722no—
1677C2×C4—1722no—
1678C2×C4—1722no—
1679C2×C4C2×D4×D4311yescharacteristic
1680C2×C4C2×D4×D4311yescharacteristic
1681C2×C4C2×D4×D4311yescharacteristic
1682C2×C4C2×D4×D4311yescharacteristic
1683C2×C4C2×D4×D4311yescharacteristic
1684C2×C4C2×D4×D4311yescharacteristic
1685C2×C4C24×D4311yescharacteristic
1686C8—21no—
1687C8—21no—
1688C8—21no—
1689C8—861no—
1690C8—861no—
1691C8—861no—
1692C8—861no—
1693C8#41×D4312yes—
1694C22—41no—
1695C22—41no—
1696C22—41no—
1697C22—41no—
1698C22—41no—
1699C22—41no—
1700C22—41no—
1701C22—41no—
1702C22—41no—
1703C22—41no—
1704C22—41no—
1705C22—41no—
1706C22—861no—
1707C22—861no—
1708C22—861no—
1709C22—862no—
1710C22—862no—
1711C22—861no—
1712C22—861no—
1713C22—861no—
1714C22—861no—
1715C22—861no—
1716C22—861no—
1717C22—3444no—
1718C22—1721no—
1719C22—1721no—
1720C22—1721no—
1721C22—1721no—
1722C22—6882no—
1723C22—6882no—
1724C22—6882no—
1725C22C22×D4×D4311yescharacteristic
1726C4—21no—
1727C4—21no—
1728C4—21no—
1729C4—21no—
1730C4—21no—
1731C4—21no—
1732C4—41no—
1733C4—41no—
1734C4—41no—
1735C4—41no—
1736C4—861no—
1737C4—861no—
1738C4—861no—
1739C4—861no—
1740C4—861no—
1741C4—1721no—
1742C4—1721no—
1743C4—1721no—
1744C4—1721no—
1745C4—1721no—
1746C4—1721no—
1747C4C2×#41×D4311yescharacteristic
1748C4#1458373411yescharacteristic
1749C2—81no—
1750C2—81no—
1751C2—81no—
1752C2—81no—
1753C2—1721no—
1754C2—1721no—
1755C2—1721no—
1756C2—1722no—
1757C2—1722no—
1758C2#1914808511yescharacteristic
1759C2#1914937111yescharacteristic
1760C2#1914937311yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3397C2
socleC22×C43C23×D4
hypercenter#3397D43
hypocenterC43#61506
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C4×Q8 ◁ #3397

Complements

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

NH ≅ G/Ntype
1. #19148662C2semidirect
2. #19148626C2semidirect
3. #19147555C2semidirect
4. #19147416C2semidirect
5. #19147298C2semidirect
6. #19147202C2semidirect
7. #19147145C2semidirect
8. #19147115C2semidirect
9. #19146829C2semidirect
10. #19146803C2semidirect
11. #19146758C2semidirect
12. #19146743C2semidirect
13. #19146623C2semidirect
14. #19146578C2semidirect
15. #19146194C2semidirect
16. #19146074C2semidirect
17. #19146074C2semidirect
18. #19145275C2semidirect
19. #19145220C2semidirect
20. #19145187C2semidirect
21. #19144845C2semidirect
22. #19144836C2semidirect
23. #19144793C2semidirect
24. #19144776C2semidirect
25. #19144745C2semidirect
26. #19144732C2semidirect
27. #19143579C2semidirect
28. #19143442C2semidirect
29. #19143426C2semidirect
30. #19143400C2semidirect
31. C43×#3397C2semidirect
35. #14583622C22semidirect
37. #14583609C22semidirect
38. #14583609C22semidirect
41. #14583599C22semidirect
42. #14583599C22semidirect
44. #14583590C22semidirect
48. #14583552C22semidirect
49. #14583542C22semidirect
50. #14583542C22semidirect
56. #14583534C22semidirect
57. #14583518C22semidirect
58. #14583510C22semidirect
60. #14583503C22semidirect
65. #14583447C22semidirect
67. #14583428C22semidirect
72. #14583381C22semidirect
74. #14583371C22semidirect
75. #14583371C22semidirect
76. C4×#10621902C22semidirect
77. C4×D4×D43C22semidirect
78. #14583308C22semidirect
79. #14583308C22semidirect
80. #14583301C22semidirect
81. #14583267C22semidirect
82. #14583263C22semidirect
83. #14583263C22semidirect
84. #14583258C22semidirect
85. #14583253C22semidirect
86. #14583245C22semidirect
87. #14583239C22semidirect
88. #14583239C22semidirect
89. #14583238C22semidirect
90. #14583228C22semidirect
91. #14583222C22semidirect
92. #14583221C22semidirect
93. #14583221C22semidirect
94. #14583221C22semidirect
95. #14583221C22semidirect
96. #14583216C22semidirect
97. #14583211C22semidirect
98. #14583211C22semidirect
99. #14583206C22semidirect
100. #14583200C22semidirect
101. #14583200C22semidirect
102. #14583200C22semidirect
103. #14583200C22semidirect
104. #14583199C22semidirect
105. #14583199C22semidirect
106. #14583199C22semidirect
107. #14583189C22semidirect
108. #14583184C22semidirect
109. #14583180C22semidirect
110. #14583180C22semidirect
111. #14583149C22semidirect
112. #14583149C22semidirect
113. #14583149C22semidirect
114. #14583142C22semidirect
115. #14583142C22semidirect
116. #14583142C22semidirect
117. #14583142C22semidirect
118. #14583142C22semidirect
119. #14583132C22semidirect
120. #14583125C22semidirect
121. #14583125C22semidirect
122. #14583125C22semidirect
125. #14583101C22semidirect
126. #14583091C22semidirect
127. #14583091C22semidirect
128. #14583091C22semidirect
131. #14583048C22semidirect
132. #14583048C22semidirect
133. #14583043C22semidirect
134. #14583043C22semidirect
135. #14583043C22semidirect
136. #14583043C22semidirect
139. #14583031C22semidirect
140. #14583031C22semidirect
141. #14583030C22semidirect
144. #14583011C22semidirect
146. #14583009C22semidirect
147. #14583009C22semidirect
149. #14583008C22semidirect
150. #14583008C22semidirect
151. #14583002C22semidirect
152. #14583000C22semidirect
153. #14583000C22semidirect
154. #14583000C22semidirect
155. #14582997C22semidirect
156. SD16×Dic43C22semidirect
157. SD16×Dic43C22semidirect
158. SD16×Dic43C22semidirect
159. C4×#10621884C22semidirect
160. #14582984C22semidirect
162. D8×Dic43C22semidirect
163. D8×Dic43C22semidirect
165. C4×#10621882C22semidirect
166. #14582979C22semidirect
167. #14582978C22semidirect
168. #14582976C22semidirect
169. #14582972C22semidirect
170. #14582972C22semidirect
171. #14582969C22semidirect
172. #14582969C22semidirect
173. #14582959C22semidirect
174. #14582959C22semidirect
175. #14582955C22semidirect
176. #14582940C22semidirect
177. #14582940C22semidirect
178. #14582936C22semidirect
180. #14582902C22semidirect
181. #14582902C22semidirect
182. #14582899C22semidirect
183. #14582894C22semidirect
184. #102×D43C22semidirect
185. #14582856C22semidirect
186. #14582853C22semidirect
187. #14582851C22semidirect
188. C43×#556C22semidirect
189. C43×#550C22semidirect
190. C43×#496C22semidirect
191. C43×#496C22semidirect
192. C43×#492C22semidirect
193. C43×#463C22semidirect
194. C43×#463C22semidirect
195. C43×#461C22semidirect
196. C43×#460C22semidirect
197. C43×#460C22semidirect
198. C43×#459C22semidirect
199. C43×#446C22semidirect
200. C43×#440C22semidirect
201. C43×#440C22semidirect
202. C4×D8×C43C22semidirect
685. D344#41semidirect
871. #3397D43semidirect
916. #556C2×D43semidirect
929. #550C2×D43semidirect
963. #496C2×D43semidirect
964. #496C2×D43semidirect
965. #492C2×D43semidirect
1010. #463C2×D43semidirect
1011. #463C2×D43semidirect
1013. #461C2×D43semidirect
1014. #460C2×D43semidirect
1015. #460C2×D43semidirect
1019. #459C2×D43semidirect
1033. #446C2×D43semidirect
1048. #440C2×D43semidirect
1049. #440C2×D43semidirect
1061. C4×D8C2×D43semidirect
1083. C43#61506semidirect

Maximal subgroups

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

subgroupindex
#191486622
#191486262
#191475552
#191474162
#191472982
#191472022
#191471452
#191471152
#191468292
#191468032
#191467582
#191467432
#191466232
#191465782
#191461942
#191460742
#191452752
#191452202
#191451872
#191448452
#191448362
#191447932
#191447762
#191447452
#191447322
#191435792
#191434422
#191434262
#191434002
C43×#33972
#6150643