Finite Group Databasebeta

← #25979566

Subgroups — #25979566

Order 11008.

1936 conjugacy classes of subgroups.

The subgroup lattice has 1774 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19148673C211yesmaximal, characteristic, complemented
2#19148614C211yesmaximal, characteristic, complemented
3#19147640C211yesmaximal, characteristic, complemented
4#19147500C211yesmaximal, characteristic, complemented
5#19147263C211yesmaximal, characteristic, complemented
6#19147256C211yesmaximal, characteristic, complemented
7#19147214C211yesmaximal, characteristic, complemented
8#19147069C211yesmaximal, characteristic, complemented
9#19147065C211yesmaximal, characteristic, complemented
10#19146540C211yesmaximal, characteristic, complemented
11#19146503C211yesmaximal, characteristic, complemented
12#19146499C211yesmaximal, characteristic, complemented
13#19146415C211yesmaximal, characteristic, complemented
14#19146404C211yesmaximal, characteristic, complemented
15#19146213C211yesmaximal, characteristic, complemented
16#19146094C211yesmaximal, characteristic, complemented
17#19146086C211yesmaximal, characteristic, complemented
18#19145285C211yesmaximal, characteristic, complemented
19#19145281C211yesmaximal, characteristic, complemented
20#19145169C211yesmaximal, characteristic, complemented
21#19144797C211yesmaximal, characteristic, complemented
22#19144791C211yesmaximal, characteristic, complemented
23#19144786C211yesmaximal, characteristic, complemented
24#19144772C211yesmaximal, characteristic, complemented
25#19144714C211yesmaximal, characteristic, complemented
26#19144681C211yesmaximal, characteristic, complemented
27#19143563C211yesmaximal, characteristic, complemented
28#19143421C211yesmaximal, characteristic, complemented
29#19143420C211yesmaximal, characteristic, complemented
30C2×#14582990C211yesmaximal, characteristic, complemented
31C43×#3294C211yesmaximal, characteristic, complemented
32C2×#13063351C2211yescharacteristic
33C2×#13063349C2211yescharacteristic
34C22×#10621883C2211yescharacteristic
35#14583633—21no—
36#14583632C2211yescharacteristic, complemented
37#14583629C2211yescharacteristic, complemented
38#14583613C2211yescharacteristic
39#14583608C2211yescharacteristic
40#14583604C2211yescharacteristic, complemented
41#14583603—21no—
42#14583601C2211yescharacteristic
43#14583595C2211yescharacteristic
44#14583592—21no—
45#14583569C2211yescharacteristic
46#14583567C2211yescharacteristic, complemented
47#14583558C2211yescharacteristic, complemented
48#14583555C2211yescharacteristic, complemented
49#14583550C2211yescharacteristic, complemented
50#14583548—21no—
51#14583547—21no—
52#14583543—21no—
53#14583536—21no—
54#14583536—21no—
55D4×C22⋊D43C2211yescharacteristic
56D4×C22⋊D43C2211yescharacteristic
57#14583523C2211yescharacteristic, complemented
58#14583519—21no—
59#14583517—21no—
60#14583516C2211yescharacteristic, complemented
61#14583503C2211yescharacteristic
62#14583502C2211yescharacteristic
63#14583486—21no—
64#14583484—21no—
65#14583445—21no—
66#14583444C2211yescharacteristic
67#14583444C2211yescharacteristic, complemented
68#14583429C2211yescharacteristic
69#14583426—21no—
70#14583405—21no—
71C2×#13063297—21no—
72#14583380C2211yescharacteristic, complemented
73#14583378C2211yescharacteristic, complemented
74#14583374C2211yescharacteristic
75#14583371C2211yescharacteristic
76C2×#13063290C2211yescharacteristic, complemented
77C2×D4×Dic43C2211yescharacteristic
78#14583307C2211yescharacteristic, complemented
79#14583305C2211yescharacteristic, complemented
80#14583303C2211yescharacteristic, complemented
81#14583287C2211yescharacteristic, complemented
82#14583286C2211yescharacteristic, complemented
83#14583274C2211yescharacteristic, complemented
84#14583254C2211yescharacteristic, complemented
85#14583252C2211yescharacteristic, complemented
86#14583244C2211yescharacteristic, complemented
87#14583244C2211yescharacteristic, complemented
88#14583244C2211yescharacteristic, complemented
89#14583242C2211yescharacteristic, complemented
90#14583241C2211yescharacteristic, complemented
91#14583226C2211yescharacteristic, complemented
92#14583220C2211yescharacteristic, complemented
93#14583218C2211yescharacteristic, complemented
94#14583217C2211yescharacteristic, complemented
95#14583216C2211yescharacteristic, complemented
96#14583215C2211yescharacteristic, complemented
97#14583212C2211yescharacteristic, complemented
98#14583211C2211yescharacteristic, complemented
99#14583207C2211yescharacteristic, complemented
100#14583205C2211yescharacteristic, complemented
101#14583202C2211yescharacteristic, complemented
102#14583199C2211yescharacteristic, complemented
103#14583193C2211yescharacteristic, complemented
104#14583193C2211yescharacteristic, complemented
105#14583187C2211yescharacteristic
106#14583187C2211yescharacteristic, complemented
107#14583187C2211yescharacteristic, complemented
108#14583186C2211yescharacteristic, complemented
109#14583177C2211yescharacteristic
110#14583151C2211yescharacteristic, complemented
111#14583150C2211yescharacteristic, complemented
112#14583144C2211yescharacteristic, complemented
113#14583143C2211yescharacteristic, complemented
114#14583135C2211yescharacteristic, complemented
115#14583134C2211yescharacteristic, complemented
116#14583133C2211yescharacteristic, complemented
117#14583133C2211yescharacteristic, complemented
118#14583128C2211yescharacteristic, complemented
119#14583127C2211yescharacteristic, complemented
120#14583115C2211yescharacteristic, complemented
121#14583114C2211yescharacteristic
122#14583112C2211yescharacteristic
123#14583112C2211yescharacteristic, complemented
124#14583098C2211yescharacteristic, complemented
125#14583098C2211yescharacteristic, complemented
126#14583098C2211yescharacteristic, complemented
127#14583096C2211yescharacteristic, complemented
128#14583093C2211yescharacteristic, complemented
129#14583092C2211yescharacteristic
130#14583092C2211yescharacteristic, complemented
131#14583051C2211yescharacteristic
132#14583050C2211yescharacteristic
133#14583046C2211yescharacteristic, complemented
134#14583042C2211yescharacteristic, complemented
135#14583041C2211yescharacteristic, complemented
136#14583041C2211yescharacteristic, complemented
137#14583040C2211yescharacteristic, complemented
138#14583037C2211yescharacteristic, complemented
139#14583034C2211yescharacteristic
140#14583033C2211yescharacteristic
141#14583028C2211yescharacteristic, complemented
142C8×Dic86C2211yescharacteristic, complemented
143#14583011C2211yescharacteristic
144#14583011C2211yescharacteristic, complemented
145#14583009C2211yescharacteristic, complemented
146#14583008C2211yescharacteristic
147#14583008C2211yescharacteristic, complemented
148#14583008C2211yescharacteristic, complemented
149#14582999C2211yescharacteristic
150#14582998C2211yescharacteristic, complemented
151#14582998C2211yescharacteristic, complemented
152#14582996C2211yescharacteristic
153#14582996C2211yescharacteristic, complemented
154#14582996C2211yescharacteristic, complemented
155#14582990C2211yescharacteristic
156#14582990C2211yescharacteristic
157#14582990C2211yescharacteristic
158#14582990C2211yescharacteristic
159#14582990C2211yescharacteristic, complemented
160#14582990C2211yescharacteristic, complemented
161#14582990C2211yescharacteristic, complemented
162#14582990C2211yescharacteristic, complemented
163#14582990C2211yescharacteristic, complemented
164C4×#10621873C2211yescharacteristic, complemented
165D8×Dic43C2211yescharacteristic, complemented
166#14582981C2211yescharacteristic, complemented
167#14582979C2211yescharacteristic
168#14582979C2211yescharacteristic, complemented
169#14582979C2211yescharacteristic, complemented
170#14582974C2211yescharacteristic, complemented
171#14582971C2211yescharacteristic, complemented
172#14582967C2211yescharacteristic, complemented
173C8×C22⋊D43C2211yescharacteristic, complemented
174C8×C22⋊D43C2211yescharacteristic, complemented
175#14582959C2211yescharacteristic, complemented
176#14582957C2211yescharacteristic, complemented
177#14582953C2211yescharacteristic, complemented
178#14582940C2211yescharacteristic, complemented
179#14582939C2211yescharacteristic, complemented
180C2×#13063256C2211yescharacteristic, complemented
181#14582896C2211yescharacteristic, complemented
182#14582892C2211yescharacteristic, complemented
183C2×#13063250C2211yescharacteristic, complemented
184#102×D43C2211yescharacteristic
185#14582854C2211yescharacteristic, complemented
186#14582853C2211yescharacteristic, complemented
187C2×C8×Dic43C2211yescharacteristic, complemented
188C43×#547C2211yescharacteristic, complemented
189D42×C43C2211yescharacteristic
190C43×#486C2211yescharacteristic, complemented
191C43×#480C2211yescharacteristic, complemented
192C43×#480C2211yescharacteristic, complemented
193C43×#474C2211yescharacteristic
194C43×#466C2211yescharacteristic, complemented
195C43×#466C2211yescharacteristic, complemented
196C43×#459C2211yescharacteristic, complemented
197C43×#447C2211yescharacteristic
198C43×#447C2211yescharacteristic
199C4×D8×C43C2211yescharacteristic
200C8×D4×C43C2211yescharacteristic, complemented
201C2×#102×C43C2211yescharacteristic
202C2×#102×C43C2211yescharacteristic
203C2×#10621898—21no—
204C2×#10621898C2311yescharacteristic
205C2×#10621900—21no—
206C2×#10621900—21no—
207C2×#10621900—21no—
208C2×#10621900C2311yescharacteristic
209C22×Dic86C2311yescharacteristic
210C22×C22⋊D43—21no—
211C22×C22⋊D43—21no—
212C2×D4×D43C2311yescharacteristic
213C23×Dic43—21no—
214#13063351—24no—
215#13063349—24no—
216C2×#10621873C2311yescharacteristic
217C2×#10621873C2311yescharacteristic
218C2×#10621883—24no—
219C2×#10621883C2311yescharacteristic
220C2×#10621883C2311yescharacteristic
221C2×#10621883C2311yescharacteristic
222C2×#10621883C2311yescharacteristic
223C2×#10621883C2311yescharacteristic
224C2×#10621883C2311yescharacteristic
225C2×D344C2311yescharacteristic
226C2×#10621882C2311yescharacteristic
227C2×#10621882C2311yescharacteristic
228C2×#10621882C2311yescharacteristic
229C2×#10621882C2311yescharacteristic
230C2×#10621877C2311yescharacteristic
231C2×#10621872C2311yescharacteristic
232C22×C43⋊C8C2311yescharacteristic
233C2×C8×D43C2311yescharacteristic
234#13063324—21no—
235#13063324C2311yescharacteristic
236#13063324C2311yescharacteristic
237#13063324C2311yescharacteristic
238#13063323—21no—
239#13063323—21no—
240#13063321—21no—
241#13063321C2311yescharacteristic
242#13063321C2311yescharacteristic
243#13063321C2311yescharacteristic
244#13063320—21no—
245#13063320—21no—
246#13063320D411yescharacteristic
247#13063318—21no—
248#13063318—21no—
249#13063318D411yescharacteristic
250#13063317C2311yescharacteristic
251#13063316C2311yescharacteristic
252#13063315—21no—
253#13063315D411yescharacteristic
254#13063314—21no—
255#13063313C2311yescharacteristic
256#13063312—21no—
257#13063312—21no—
258#13063312C2311yescharacteristic
259#13063311—21no—
260#13063311—21no—
261#13063311—21no—
262#13063311—21no—
263#13063311—21no—
264#13063311—21no—
265#13063311D411yescharacteristic
266#13063310—21no—
267#13063310—21no—
268#13063309—21no—
269#13063309—21no—
270#13063309D411yescharacteristic
271#13063308—21no—
272#13063308—21no—
273#13063307—21no—
274#13063307—21no—
275#13063307—21no—
276#13063306—21no—
277#13063306—21no—
278#13063306—21no—
279#13063306D411yescharacteristic
280#13063305C2311yescharacteristic
281#13063304—21no—
282#13063304—21no—
283#13063304C2311yescharacteristic
284#13063303—21no—
285#13063303—21no—
286#13063303—21no—
287#13063302—21no—
288#13063302—21no—
289#13063302—21no—
290#13063302—21no—
291#13063302D411yescharacteristic
292#13063301—21no—
293#13063300C2311yescharacteristic
294#13063299C2311yescharacteristic
295#13063299C2311yescharacteristic
296#13063299C2311yescharacteristic
297#13063298—21no—
298#13063297—21no—
299#13063297—21no—
300#13063297—21no—
301#13063297—21no—
302#13063297—21no—
303#13063297—21no—
304#13063297—21no—
305#13063297—21no—
306#13063297—21no—
307#13063297—21no—
308#13063297—21no—
309#13063297—21no—
310#13063297—21no—
311#13063297—21no—
312#13063297—21no—
313#13063297D411yescharacteristic
314#13063296—21no—
315#13063296—21no—
316#13063296C2311yescharacteristic
317#13063296C2311yescharacteristic
318#13063294—21no—
319#13063294—21no—
320#13063293—21no—
321#13063293—21no—
322C4×Dic86C2311yescharacteristic
323C4×Dic86C2311yescharacteristic
324#13063290—21no—
325#13063290—21no—
326#13063290—21no—
327#13063290C2311yescharacteristic
328#13063290C2311yescharacteristic
329#13063290C2311yescharacteristic
330#13063290C2311yescharacteristic
331#13063290C2311yescharacteristic
332C4×D172C2311yescharacteristic
333D4×Dic43—21no—
334D4×Dic43—21no—
335D4×Dic43—21no—
336D4×Dic43—21no—
337D4×Dic43—21no—
338D4×Dic43—21no—
339D4×Dic43C2311yescharacteristic
340D4×Dic43C2311yescharacteristic
341D4×Dic43C2311yescharacteristic
342D4×Dic43C2311yescharacteristic
343D4×Dic43C2311yescharacteristic
344D4×Dic43C2311yescharacteristic
345D4×Dic43C2311yescharacteristic
346D4×Dic43C2311yescharacteristic
347#13063287C2311yescharacteristic
348#13063287C2311yescharacteristic
349#13063287C2311yescharacteristic
350C4×C22⋊D43—21no—
351C4×C22⋊D43—21no—
352C4×C22⋊D43—21no—
353C4×C22⋊D43—21no—
354C4×C22⋊D43—21no—
355C4×C22⋊D43—21no—
356C4×C22⋊D43C2311yescharacteristic
357C4×C22⋊D43C2311yescharacteristic
358(C22⋊D43)⋊C4—21no—
359(C22⋊D43)⋊C4—21no—
360(C22⋊D43)⋊C4—21no—
361(C22⋊D43)⋊C4—21no—
362(C22⋊D43)⋊C4—21no—
363(C22⋊D43)⋊C4—21no—
364(C22⋊D43)⋊C4—21no—
365#13063284C2311yescharacteristic
366#13063284C2311yescharacteristic
367#13063283—21no—
368#13063283C2311yescharacteristic
369#13063282C2311yescharacteristic
370#13063281—21no—
371#13063281—21no—
372C2×C4⋊Dic43C2311yescharacteristic
373C2×Dic43⋊C4—21no—
374C2×Dic43⋊C4—21no—
375C2×Dic43⋊C4—21no—
376C4⋊C4×D43—21no—
377C4⋊C4×D43C2311yescharacteristic
378C2×C22⋊Dic43—21no—
379C2×C22⋊Dic43—21no—
380C2×C22⋊Dic43—21no—
381C2×(C2×D43)⋊C4—21no—
382C22⋊C4×D43—21no—
383C2×C4×Dic43—21no—
384C2×C4×Dic43C2311yescharacteristic
385#13063259C2311yescharacteristic
386#13063258C2311yescharacteristic
387#13063258C2311yescharacteristic
388#13063258C2311yescharacteristic
389#13063258C2311yescharacteristic
390#13063257C2311yescharacteristic
391#13063257C2311yescharacteristic
392#13063256C2311yescharacteristic
393#13063256C2311yescharacteristic
394#13063256C2311yescharacteristic
395#13063256C2311yescharacteristic
396#13063256C2311yescharacteristic
397#13063256C2311yescharacteristic
398C4⋊(C43⋊C8)C2311yescharacteristic
399Dic43⋊C8C2311yescharacteristic
400Dic43⋊C8C2311yescharacteristic
401Dic43⋊C8C2311yescharacteristic
402Dic43⋊C8C2311yescharacteristic
403#13063250C2311yescharacteristic
404#13063250C2311yescharacteristic
405#13063250C2311yescharacteristic
406#13063250C2311yescharacteristic
407#13063250C2311yescharacteristic
408#13063250C2311yescharacteristic
409#13063248C2311yescharacteristic
410#13063248C2311yescharacteristic
411#13063247C2311yescharacteristic
412#13063247C2311yescharacteristic
413#13063247C2311yescharacteristic
414#13063247C2311yescharacteristic
415#13063246C2311yescharacteristic
416#13063246C2311yescharacteristic
417#13063246C2311yescharacteristic
418#13063246C2311yescharacteristic
419#13063246C2311yescharacteristic
420#13063246C2311yescharacteristic
421#13063245C2311yescharacteristic
422#13063245C2311yescharacteristic
423#13063245C2311yescharacteristic
424#13063245C2311yescharacteristic
425C22⋊(C43⋊C8)C2311yescharacteristic
426C22⋊(C43⋊C8)C2311yescharacteristic
427(C2×D43)⋊C8C2311yescharacteristic
428(C2×D43)⋊C8C2311yescharacteristic
429#13063236C2311yescharacteristic
430#13063235C2311yescharacteristic
431#13063235C2311yescharacteristic
432#13063235C2311yescharacteristic
433C8×Dic43C2311yescharacteristic
434C8×Dic43C2311yescharacteristic
435C8×Dic43C2311yescharacteristic
436C8×Dic43C2311yescharacteristic
437C8×Dic43C2311yescharacteristic
438C2×#41×C43—21no—
439C22×D4×C43—21no—
440C22×D4×C43C2311yescharacteristic
441C22×D4×C43C2311yescharacteristic
442C2×D8×C43C2311yescharacteristic
443C2×D8×C43C2311yescharacteristic
444C2×D8×C43C2311yescharacteristic
445C22×C8×C43C2311yescharacteristic
446C22×C8×C43C2311yescharacteristic
447C4⋊Q8×C43C2311yescharacteristic
448#127×C43C2311yescharacteristic
449#123×C43—21no—
450#123×C43—21no—
451C22⋊Q8×C43—21no—
452#121×C43—21no—
453#121×C43C2311yescharacteristic
454#121×C43C2311yescharacteristic
455#121×C43C2311yescharacteristic
456#121×C43C2311yescharacteristic
457#120×C43—21no—
458#120×C43—21no—
459C4×D4×C43C2311yescharacteristic
460C4×D4×C43C2311yescharacteristic
461C4×D4×C43C2311yescharacteristic
462C2×C4⋊C4×C43C2311yescharacteristic
463C2×C4⋊C4×C43C2311yescharacteristic
464#107×C43C2311yescharacteristic
465#107×C43C2311yescharacteristic
466#107×C43C2311yescharacteristic
467C4⋊C8×C43C2311yescharacteristic
468#102×C43C2311yescharacteristic
469#102×C43C2311yescharacteristic
470#102×C43C2311yescharacteristic
471#102×C43C2311yescharacteristic
472#102×C43C2311yescharacteristic
473#102×C43C2311yescharacteristic
474#102×C43C2311yescharacteristic
475#102×C43C2311yescharacteristic
476#102×C43C2311yescharacteristic
477#102×C43C2311yescharacteristic
478C22⋊C8×C43C2311yescharacteristic
479C22⋊C8×C43C2311yescharacteristic
480C4×C8×C43C2311yescharacteristic
481C24×C43—21no—
482C24×C43—21no—
483C23×D43—21no—
484#41×C43—82no—
485C2×Q8×C43—21no—
486C2×D4×C43—21no—
487C2×D4×C43—21no—
488C2×D4×C43—21no—
489C2×D4×C43—21no—
490C2×D4×C43—21no—
491C2×D4×C43—21no—
492C2×D4×C43—21no—
493C2×D4×C43—21no—
494C2×D4×C43—22no—
495C2×D4×C43—22no—
496C2×D4×C43—41no—
497C2×D4×C43—41no—
498C2×D4×C43—82no—
499C2×D4×C43C2×D411yescharacteristic
500C2×D4×C43C2411yescharacteristic
501C2×D4×C43C2411yescharacteristic
502C2×D4×C43C2411yescharacteristic
503C2×D4×C43C2411yescharacteristic
504C22×C4×C43—21no—
505C22×C4×C43—21no—
506C22×C4×C43—21no—
507C22×C4×C43—21no—
508C22×C4×C43C2411yescharacteristic
509C22×C4×C43C2411yescharacteristic
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⋊D43—21no—
518C2×C22⋊D43—21no—
519C2×C22⋊D43—21no—
520C2×C22⋊D43—21no—
521C2×C22⋊D43—21no—
522C2×C22⋊D43—21no—
523C2×C22⋊D43—21no—
524C2×C22⋊D43—82no—
525C2×C22⋊D43—82no—
526C2×C22⋊D43C2×D411yescharacteristic
527C2×C22⋊D43C2×D411yescharacteristic
528C22×Dic43—21no—
529C22×Dic43—21no—
530C22×Dic43—21no—
531C22×Dic43—21no—
532C22×Dic43—21no—
533C22×Dic43—21no—
534C22×Dic43—21no—
535C22×Dic43—21no—
536C22×Dic43—21no—
537C22×Dic43—21no—
538C22×Dic43—21no—
539C22×Dic43—82no—
540C22×Dic43C2×D411yescharacteristic
541C22×Dic43C2×D411yescharacteristic
542#10621900—22no—
543#10621900—41no—
544#10621900—82no—
545#10621900—82no—
546#10621900—82no—
547D4×D43—22no—
548D4×D43—41no—
549#10621898—22no—
550#10621898—41no—
551#10621898—82no—
552C2×D172—21no—
553C2×D172C2411yescharacteristic
554C2×D172C2411yescharacteristic
555C2×C4×D43—21no—
556C2×C4×D43—21no—
557C2×C4×D43—21no—
558C2×C4×D43—21no—
559C2×C4×D43—21no—
560C2×C4×D43—21no—
561C2×C4×D43C2411yescharacteristic
562C2×Dic86—22no—
563C2×Dic86—21no—
564C2×Dic86—21no—
565C2×Dic86—21no—
566C2×Dic86—21no—
567C2×Dic86—41no—
568C2×Dic86C2×D411yescharacteristic
569C2×Dic86C2411yescharacteristic
570C2×Dic86C2411yescharacteristic
571D8×C43—22no—
572D8×C43—41no—
573D8×C43—41no—
574C2×C8×C43—41no—
575C2×C8×C43—41no—
576C2×C8×C43C2411yescharacteristic
577C2×C8×C43C2411yescharacteristic
578C2×C8×C43C2411yescharacteristic
579C2×C8×C43C2411yescharacteristic
580C4⋊C4×C43—21no—
581C4⋊C4×C43—21no—
582C4⋊C4×C43—21no—
583C4⋊C4×C43C2×D411yescharacteristic
584C4⋊C4×C43C2411yescharacteristic
585C4⋊C4×C43C2411yescharacteristic
586C4⋊C4×C43C2411yescharacteristic
587C4⋊C4×C43C2411yescharacteristic
588C22⋊C4×C43—21no—
589C22⋊C4×C43—21no—
590C22⋊C4×C43—21no—
591C22⋊C4×C43—21no—
592C22⋊C4×C43—21no—
593C22⋊C4×C43—21no—
594C22⋊C4×C43C2×D411yescharacteristic
595C22⋊C4×C43C2×D411yescharacteristic
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—
609C22⋊Dic43—21no—
610C22⋊Dic43—21no—
611C22⋊Dic43C2×D411yescharacteristic
612C22⋊Dic43C2×D411yescharacteristic
613C22⋊Dic43C2×D411yescharacteristic
614C22⋊Dic43C2×D411yescharacteristic
615#10621883—22no—
616#10621883—22no—
617#10621883—22no—
618#10621883—22no—
619#10621883—41no—
620#10621883#4114yescomplemented
621#10621882—22no—
622#10621882—22no—
623#10621882—22no—
624#10621882—41no—
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)⋊C4—21no—
632(C2×D43)⋊C4—21no—
633(C2×D43)⋊C4—21no—
634(C2×D43)⋊C4—21no—
635(C2×D43)⋊C4—21no—
636(C2×D43)⋊C4—21no—
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⋊Dic43C2×D411yescharacteristic
645C4⋊Dic43C2×D411yescharacteristic
646C4⋊Dic43C2×D411yescharacteristic
647C4⋊Dic43C2411yescharacteristic
648C4⋊Dic43C2411yescharacteristic
649C4⋊Dic43C2411yescharacteristic
650C4⋊Dic43C2411yescharacteristic
651Dic43⋊C4—21no—
652Dic43⋊C4—21no—
653Dic43⋊C4—21no—
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⋊C4C2×D411yescharacteristic
666Dic43⋊C4C2×D411yescharacteristic
667Dic43⋊C4C2×D411yescharacteristic
668Dic43⋊C4C2×D411yescharacteristic
669Dic43⋊C4C2×D411yescharacteristic
670Dic43⋊C4C2×D411yescharacteristic
671C4×Dic43—21no—
672C4×Dic43—21no—
673C4×Dic43—21no—
674C4×Dic43—21no—
675C4×Dic43—21no—
676C4×Dic43—21no—
677C4×Dic43—21no—
678C4×Dic43—21no—
679C4×Dic43C2×D411yescharacteristic
680C4×Dic43C2×D411yescharacteristic
681C4×Dic43C2411yescharacteristic
682C4×Dic43C2411yescharacteristic
683C4×Dic43C2411yescharacteristic
684#10621877—22no—
685C2×C43⋊C8—22no—
686C2×C43⋊C8C2411yescharacteristic
687C2×C43⋊C8C2411yescharacteristic
688C2×C43⋊C8C2411yescharacteristic
689C2×C43⋊C8C2411yescharacteristic
690D344—41no—
691#10621873—22no—
692#10621873—41no—
693#10621872—22no—
694C8×D43—41no—
695C23×C43—21no—
696C23×C43—21no—
697C23×C43—21no—
698C23×C43—21no—
699C23×C43—42no—
700C23×C43—42no—
701C23×C43—42no—
702C23×C43—81no—
703C23×C43—81no—
704C23×C43—81no—
705C23×C43C22×D411yescharacteristic
706C23×C43C22×D411yescharacteristic
707C22×D43—21no—
708C22×D43—21no—
709C22×D43—42no—
710C22×D43—81no—
711C22×D43—81no—
712C22×D43C22×D411yescharacteristic
713Q8×C43—81no—
714D4×C43—22no—
715D4×C43—21no—
716D4×C43—21no—
717D4×C43—21no—
718D4×C43—21no—
719D4×C43—21no—
720D4×C43—21no—
721D4×C43—21no—
722D4×C43—42no—
723D4×C43—42no—
724D4×C43—42no—
725D4×C43—42no—
726D4×C43—81no—
727D4×C43—81no—
728D4×C43—81no—
729D4×C43—81no—
730D4×C43C2×#4112yes—
731C2×C4×C43—21no—
732C2×C4×C43—21no—
733C2×C4×C43—21no—
734C2×C4×C43—21no—
735C2×C4×C43—21no—
736C2×C4×C43—21no—
737C2×C4×C43—21no—
738C2×C4×C43—21no—
739C2×C4×C43—42no—
740C2×C4×C43—81no—
741C2×C4×C43—81no—
742C2×C4×C43—81no—
743C2×C4×C43C22×D411yescharacteristic
744C2×C4×C43C22×D411yescharacteristic
745C2×C4×C43C22×D411yescharacteristic
746C2×C4×C43C22×D411yescharacteristic
747C2×C4×C43C2511yescharacteristic
748C22⋊D43—22no—
749C22⋊D43—22no—
750C22⋊D43—42no—
751C22⋊D43—42no—
752C22⋊D43—42no—
753C22⋊D43—42no—
754C22⋊D43—42no—
755C22⋊D43—42no—
756C22⋊D43—42no—
757C22⋊D43—81no—
758C22⋊D43—81no—
759C22⋊D43—81no—
760C22⋊D43—81no—
761C22⋊D43—81no—
762C22⋊D43—81no—
763C22⋊D43—81no—
764C2×Dic43—22no—
765C2×Dic43—21no—
766C2×Dic43—22no—
767C2×Dic43—21no—
768C2×Dic43—21no—
769C2×Dic43—21no—
770C2×Dic43—21no—
771C2×Dic43—21no—
772C2×Dic43—42no—
773C2×Dic43—42no—
774C2×Dic43—42no—
775C2×Dic43—42no—
776C2×Dic43—81no—
777C2×Dic43—81no—
778C2×Dic43—81no—
779C2×Dic43—81no—
780C2×Dic43—81no—
781C2×Dic43—81no—
782C2×Dic43—81no—
783C2×Dic43C22×D411yescharacteristic
784C2×Dic43C22×D411yescharacteristic
785C2×Dic43C22×D411yescharacteristic
786C2×Dic43C22×D411yescharacteristic
787C2×Dic43C22×D411yescharacteristic
788C2×Dic43C22×D411yescharacteristic
789C2×Dic43C22×D411yescharacteristic
790D172—21no—
791D172—21no—
792D172—21no—
793D172—21no—
794D172—81no—
795C4×D43—21no—
796C4×D43—21no—
797C4×D43—42no—
798C4×D43—81no—
799C4×D43—81no—
800C4×D43—81no—
801C4×D43—81no—
802C4×D43—81no—
803Dic86—21no—
804Dic86—22no—
805Dic86—21no—
806Dic86—21no—
807Dic86—42no—
808Dic86—81no—
809Dic86—81no—
810Dic86—81no—
811Dic86C2×#4112yes—
812C8×C43—21no—
813C8×C43—21no—
814C8×C43—21no—
815C8×C43—21no—
816C43⋊C8—21no—
817C43⋊C8—21no—
818C43⋊C8—21no—
819C43⋊C8C2×#4112yes—
820#61498—431nomaximal, Sylow
821C22×C43—21no—
822C22×C43—21no—
823C22×C43—22no—
824C22×C43—21no—
825C22×C43—21no—
826C22×C43—21no—
827C22×C43—41no—
828C22×C43—41no—
829C22×C43—41no—
830C22×C43—41no—
831C22×C43—41no—
832C22×C43—41no—
833C22×C43—41no—
834C22×C43—41no—
835C22×C43—41no—
836C22×C43—41no—
837C22×C43—41no—
838C22×C43—84no—
839C22×C43—162no—
840C22×C43#57612yes—
841C22×C43C23×D411yescharacteristic
842C2×D43—21no—
843C2×D43—21no—
844C2×D43—21no—
845C2×D43—41no—
846C2×D43—41no—
847C2×D43—41no—
848C2×D43—41no—
849C2×D43—41no—
850C2×D43—41no—
851C2×D43—162no—
852C4×C43—21no—
853C4×C43—21no—
854C4×C43—21no—
855C4×C43—21no—
856C4×C43—41no—
857C4×C43—41no—
858C4×C43—41no—
859C4×C43—41no—
860C4×C43C22×#4111yescharacteristic
861C4×C43#58511yescharacteristic
862Dic43—22no—
863Dic43—21no—
864Dic43—21no—
865Dic43—21no—
866Dic43—21no—
867Dic43—21no—
868Dic43—21no—
869Dic43—41no—
870Dic43—41no—
871Dic43—41no—
872Dic43—41no—
873Dic43—41no—
874Dic43#57712yes—
875#3522—431no—
876#3519—431no—
877#3399—431no—
878#3385—431no—
879#3362—431no—
880#3361—431no—
881#3357—431no—
882#3345—431no—
883#3345—431no—
884#3305—431no—
885#3301—431no—
886#3301—431no—
887#3295—431no—
888#3294—431no—
889#3294D4311yescharacteristic, complemented
890#3274—431no—
891#3265—431no—
892#3265—431no—
893#3179—431no—
894#3179—431no—
895#3169—431no—
896#3119—431no—
897#3119—431no—
898#3118—431no—
899#3118—431no—
900#3112—431no—
901#3109—431no—
902#2966—431no—
903#2946—431no—
904#2946—431no—
905C2×C4×SD16—431no—
906C2×C43—22no—
907C2×C43—42no—
908C2×C43—41no—
909C2×C43—81no—
910C2×C43—81no—
911C2×C43—81no—
912C2×C43D4×#4111yescharacteristic
913C2×C43C2×#57611yescharacteristic
914C2×C43C2×#57711yescharacteristic
915D43—41no—
916D43—81no—
917D43—81no—
918C2×AGL(1,ℤ/8)—431no—
919C2×AGL(1,ℤ/8)—431no—
920C22×SD16—431no—
921#559—431no—
922#559—861no—
923Q82—431no—
924#555—431no—
925#554—431no—
926#554—431no—
927#554—861no—
928#553—431no—
929#553—431no—
930#553—861no—
931#550—431no—
932#550—431no—
933#548—431no—
934#548—431no—
935#547—431no—
936#547—861no—
937#547—861no—
938#547C2×D4311yescharacteristic, complemented
939#546—861no—
940#546—861no—
941#546—861no—
942D42—431no—
943D42—431no—
944D42C2×D4311yescharacteristic
945#542—431no—
946#542—431no—
947#542—861no—
948#542—861no—
949#540—431no—
950#540—431no—
951#538—861no—
952#538—861no—
953#532—431no—
954#532—431no—
955#532—861no—
956#529—431no—
957#529—861no—
958#525—861no—
959C2×#121—861no—
960#520—431no—
961#520—431no—
962#518—431no—
963#518—431no—
964C2×C4×Q8—431no—
965C2×C4×D4—431no—
966#501—431no—
967#501—431no—
968#500—431no—
969#496—431no—
970#496—431no—
971#493—431no—
972#488—431no—
973#488—431no—
974#486—431no—
975#486—431no—
976#486—431no—
977#486C2×D4311yescharacteristic, complemented
978#485—431no—
979#485—431no—
980#482—431no—
981#482—431no—
982#481—431no—
983#481—431no—
984#481—431no—
985#481—431no—
986#480—431no—
987#480—431no—
988#480C2×D4311yescharacteristic, complemented
989#480C2×D4311yescharacteristic, complemented
990#479—431no—
991#479—431no—
992#478—431no—
993#478—431no—
994#477—431no—
995#477—431no—
996#476—431no—
997#476—431no—
998#476—431no—
999#476—431no—
1000#474—431no—
1001#474C2×D4311yescharacteristic
1002#469—431no—
1003#469—431no—
1004#468—431no—
1005#468—431no—
1006#466—431no—
1007#466—431no—
1008#466—431no—
1009#466—431no—
1010#466C2×D4311yescharacteristic, complemented
1011#466C2×D4311yescharacteristic, complemented
1012#465—431no—
1013#465—431no—
1014#463—431no—
1015#463—431no—
1016#463—431no—
1017#463—431no—
1018#460—431no—
1019#460—431no—
1020#460—431no—
1021#460—431no—
1022#459—431no—
1023#459—431no—
1024#459—431no—
1025#459C2×D4311yescharacteristic, complemented
1026#450—431no—
1027#450—431no—
1028#449—431no—
1029#449—431no—
1030#449—431no—
1031#449—431no—
1032#448—431no—
1033#448—431no—
1034#447—431no—
1035#447—431no—
1036#447C2×D4311yescharacteristic
1037#447C2×D4311yescharacteristic
1038#446—431no—
1039C8×Q8—431no—
1040#442—431no—
1041#442—431no—
1042#442—431no—
1043#442—431no—
1044#442—431no—
1045#442—431no—
1046#440—431no—
1047#440—431no—
1048#440—431no—
1049#440—431no—
1050#440—431no—
1051#440—431no—
1052C4×SD16—431no—
1053C4×SD16—431no—
1054C4×SD16—431no—
1055C4×SD16—431no—
1056C4×SD16—431no—
1057C4×SD16—431no—
1058C4×SD16—431no—
1059C4×SD16—431no—
1060C4×SD16—431no—
1061C4×SD16—431no—
1062C4×D8—431no—
1063C4×D8—431no—
1064C4×D8—431no—
1065C4×D8—431no—
1066C4×D8—431no—
1067C4×D8C2×D4311yescharacteristic
1068#436—431no—
1069#435—431no—
1070#435—431no—
1071C8×D4—431no—
1072C8×D4—431no—
1073C8×D4C2×D4311yescharacteristic, complemented
1074#433—431no—
1075#433—431no—
1076#432—431no—
1077#428—431no—
1078#428—431no—
1079C2×#106—431no—
1080#416—431no—
1081#416—431no—
1082C2×#103—431no—
1083C2×#102—431no—
1084C2×#102C2×D4311yescharacteristic
1085C2×#102C2×D4311yescharacteristic
1086#405—431no—
1087#405—431no—
1088C2×C4×C8—431no—
1089C43#6149811yescharacteristic, complemented, Sylow
1090C2×#41—21no—
1091C2×#41—431no—
1092C2×#41—431no—
1093C2×#41—861no—
1094C2×#41—861no—
1095C2×#41—861no—
1096C2×#41—861no—
1097C22×Q8—431no—
1098C22×D4—21no—
1099C22×D4—431no—
1100C22×D4—861no—
1101C22×D4—861no—
1102C22×D4C22×D4311yescharacteristic
1103C22×D4C22×D4311yescharacteristic
1104C23×C4—861no—
1105AGL(1,ℤ/8)—864no—
1106AGL(1,ℤ/8)—864no—
1107C2×SD16—431no—
1108C2×SD16—431no—
1109C2×SD16—431no—
1110C2×SD16—431no—
1111C2×SD16—431no—
1112C2×SD16—431no—
1113C2×SD16—431no—
1114C2×SD16—431no—
1115C2×SD16—864no—
1116C2×D8—431no—
1117C2×D8—431no—
1118C2×D8—431no—
1119C2×D8—431no—
1120C2×D8—431no—
1121C2×D8C22×D4311yescharacteristic
1122C2×D8C22×D4311yescharacteristic
1123C2×D8C22×D4311yescharacteristic
1124C2×M16—431no—
1125C2×M16—431no—
1126C22×C8—431no—
1127C22×C8—431no—
1128C22×C8C22×D4311yescharacteristic
1129C22×C8C22×D4311yescharacteristic
1130C4⋊Q8—431no—
1131C4⋊Q8—431no—
1132C4⋊Q8—431no—
1133C4⋊Q8—861no—
1134C4⋊Q8—861no—
1135C4⋊Q8—861no—
1136C4⋊Q8C22×D4311yescharacteristic
1137#127—431no—
1138#127—431no—
1139#127—431no—
1140#127—861no—
1141#127C22×D4311yescharacteristic
1142#126—431no—
1143#126—431no—
1144#126—861no—
1145#126—861no—
1146#126—861no—
1147#126—861no—
1148#125—431no—
1149#125—431no—
1150#125—431no—
1151#125—861no—
1152#124—431no—
1153#124—431no—
1154#124—431no—
1155#124—861no—
1156#124—861no—
1157#124—861no—
1158#124—861no—
1159#124—861no—
1160#124—861no—
1161#124—861no—
1162#124—861no—
1163#124—861no—
1164#123—21no—
1165#123—21no—
1166#123—431no—
1167#123—431no—
1168#123—861no—
1169#123—861no—
1170#123—861no—
1171#123—861no—
1172#123—861no—
1173#123—861no—
1174#123—861no—
1175#123—861no—
1176#123—861no—
1177#123—861no—
1178#123—861no—
1179#123—861no—
1180C22⋊Q8—21no—
1181C22⋊Q8—431no—
1182C22⋊Q8—431no—
1183C22⋊Q8—431no—
1184C22⋊Q8—861no—
1185C22⋊Q8—861no—
1186C22⋊Q8—861no—
1187C22⋊Q8—861no—
1188C22⋊Q8—861no—
1189C22⋊Q8—861no—
1190C22⋊Q8—861no—
1191C22⋊Q8—861no—
1192C22⋊Q8—861no—
1193C22⋊Q8—861no—
1194#121—21no—
1195#121—431no—
1196#121—431no—
1197#121—431no—
1198#121—431no—
1199#121—431no—
1200#121—431no—
1201#121—431no—
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#121—861no—
1214#121—861no—
1215#121—861no—
1216#121—861no—
1217#121—861no—
1218#121—861no—
1219#121—861no—
1220#121C22×D4311yescharacteristic
1221#121C22×D4311yescharacteristic
1222#121C22×D4311yescharacteristic
1223#121C22×D4311yescharacteristic
1224#120—21no—
1225#120—21no—
1226#120—861no—
1227#120—861no—
1228#120—861no—
1229#120—861no—
1230C4×Q8—431no—
1231C4×Q8—431no—
1232C4×Q8—431no—
1233C4×Q8—431no—
1234C4×Q8—431no—
1235C4×Q8—431no—
1236C4×Q8—431no—
1237C4×Q8—861no—
1238C4×Q8—861no—
1239C4×Q8—861no—
1240C4×D4—431no—
1241C4×D4—431no—
1242C4×D4—431no—
1243C4×D4—431no—
1244C4×D4—431no—
1245C4×D4—431no—
1246C4×D4—431no—
1247C4×D4—431no—
1248C4×D4—431no—
1249C4×D4—431no—
1250C4×D4—431no—
1251C4×D4—431no—
1252C4×D4—431no—
1253C4×D4—431no—
1254C4×D4—861no—
1255C4×D4—861no—
1256C4×D4—861no—
1257C4×D4—861no—
1258C4×D4—861no—
1259C4×D4—861no—
1260C4×D4—861no—
1261C4×D4—861no—
1262C4×D4—861no—
1263C4×D4—861no—
1264C4×D4—861no—
1265C4×D4—861no—
1266C4×D4—861no—
1267C4×D4—861no—
1268C4×D4—861no—
1269C4×D4—861no—
1270C4×D4—861no—
1271C4×D4—861no—
1272C4×D4—861no—
1273C4×D4C22×D4311yescharacteristic
1274C4×D4C22×D4311yescharacteristic
1275C4×D4C22×D4311yescharacteristic
1276#117—431no—
1277#117—431no—
1278#117—431no—
1279#117—431no—
1280#117—861no—
1281#117—861no—
1282#117—861no—
1283C2×C4⋊C4—431no—
1284C2×C4⋊C4—431no—
1285C2×C4⋊C4—861no—
1286C2×C4⋊C4—861no—
1287C2×C4⋊C4—861no—
1288C2×C4⋊C4—861no—
1289C2×C4⋊C4C22×D4311yescharacteristic
1290C2×C4⋊C4C22×D4311yescharacteristic
1291C2×C22⋊C4—861no—
1292C2×C22⋊C4—861no—
1293C2×C22⋊C4—861no—
1294C2×C22⋊C4—861no—
1295C2×C22⋊C4—861no—
1296C2×C42—431no—
1297C2×C42—861no—
1298#107—431no—
1299#107—431no—
1300#107—431no—
1301#107—431no—
1302#107—431no—
1303#107C22×D4311yescharacteristic
1304#107C22×D4311yescharacteristic
1305#107C22×D4311yescharacteristic
1306#106—431no—
1307#106—431no—
1308#106—431no—
1309#106—431no—
1310#106—431no—
1311#106—431no—
1312#106—431no—
1313#106—431no—
1314C4⋊C8—431no—
1315C4⋊C8—431no—
1316C4⋊C8—431no—
1317C4⋊C8—431no—
1318C4⋊C8—431no—
1319C4⋊C8C22×D4311yescharacteristic
1320#103—431no—
1321#103—431no—
1322#103—431no—
1323#103—431no—
1324#103—431no—
1325#103—431no—
1326#103—431no—
1327#103—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
1346#102C22×D4311yescharacteristic
1347#102C22×D4311yescharacteristic
1348#102C22×D4311yescharacteristic
1349#102C22×D4311yescharacteristic
1350#102C22×D4311yescharacteristic
1351#102C22×D4311yescharacteristic
1352C22⋊C8—431no—
1353C22⋊C8—431no—
1354C22⋊C8—431no—
1355C22⋊C8—431no—
1356C22⋊C8C22×D4311yescharacteristic
1357C22⋊C8C22×D4311yescharacteristic
1358#97—431no—
1359#97—431no—
1360#97—431no—
1361#97—431no—
1362C4×C8—431no—
1363C4×C8—431no—
1364C4×C8—431no—
1365C4×C8—431no—
1366C4×C8—431no—
1367C4×C8C22×D4311yescharacteristic
1368C24—21no—
1369C24—21no—
1370C24—861no—
1371#41—82no—
1372#41—862no—
1373#41—862no—
1374#41—3442no—
1375#41—3442no—
1376#41—3442no—
1377#41—3442no—
1378#41—1721no—
1379#41—1721no—
1380C2×Q8—21no—
1381C2×Q8—431no—
1382C2×Q8—431no—
1383C2×Q8—431no—
1384C2×Q8—861no—
1385C2×Q8—861no—
1386C2×Q8—861no—
1387C2×Q8—862no—
1388C2×Q8—861no—
1389C2×Q8—1721no—
1390C2×D4—22no—
1391C2×D4—22no—
1392C2×D4—21no—
1393C2×D4—21no—
1394C2×D4—21no—
1395C2×D4—21no—
1396C2×D4—21no—
1397C2×D4—21no—
1398C2×D4—21no—
1399C2×D4—21no—
1400C2×D4—41no—
1401C2×D4—41no—
1402C2×D4—82no—
1403C2×D4—431no—
1404C2×D4—431no—
1405C2×D4—431no—
1406C2×D4—431no—
1407C2×D4—861no—
1408C2×D4—861no—
1409C2×D4—861no—
1410C2×D4—861no—
1411C2×D4—861no—
1412C2×D4—861no—
1413C2×D4—861no—
1414C2×D4—861no—
1415C2×D4—862no—
1416C2×D4—861no—
1417C2×D4—861no—
1418C2×D4—861no—
1419C2×D4—861no—
1420C2×D4—861no—
1421C2×D4—861no—
1422C2×D4—861no—
1423C2×D4—3442no—
1424C2×D4—3442no—
1425C2×D4—1721no—
1426C2×D4D4×D4311yescharacteristic
1427C2×D4C23×D4311yescharacteristic
1428C2×D4C23×D4311yescharacteristic
1429C2×D4C23×D4311yescharacteristic
1430C2×D4C23×D4311yescharacteristic
1431C22×C4—21no—
1432C22×C4—21no—
1433C22×C4—21no—
1434C22×C4—21no—
1435C22×C4—431no—
1436C22×C4—431no—
1437C22×C4—431no—
1438C22×C4—861no—
1439C22×C4—861no—
1440C22×C4—861no—
1441C22×C4—861no—
1442C22×C4—861no—
1443C22×C4—861no—
1444C22×C4—861no—
1445C22×C4—861no—
1446C22×C4—861no—
1447C22×C4—861no—
1448C22×C4—861no—
1449C22×C4—861no—
1450C22×C4—861no—
1451C22×C4—861no—
1452C22×C4—861no—
1453C22×C4—861no—
1454C22×C4—861no—
1455C22×C4—3442no—
1456C22×C4C23×D4311yescharacteristic
1457C22×C4C23×D4311yescharacteristic
1458SD16—434no—
1459SD16—862no—
1460SD16—862no—
1461SD16—862no—
1462SD16—862no—
1463SD16—862no—
1464SD16—1721no—
1465SD16—1721no—
1466D8—22no—
1467D8—41no—
1468D8—41no—
1469D8—862no—
1470D8—862no—
1471D8—862no—
1472D8—1721no—
1473D8—1721no—
1474M16—862no—
1475M16—862no—
1476C2×C8—41no—
1477C2×C8—41no—
1478C2×C8—431no—
1479C2×C8—431no—
1480C2×C8—431no—
1481C2×C8—431no—
1482C2×C8—862no—
1483C2×C8—1721no—
1484C2×C8C23×D4311yescharacteristic
1485C2×C8C23×D4311yescharacteristic
1486C2×C8C23×D4311yescharacteristic
1487C2×C8C23×D4311yescharacteristic
1488C4⋊C4—21no—
1489C4⋊C4—21no—
1490C4⋊C4—21no—
1491C4⋊C4—431no—
1492C4⋊C4—431no—
1493C4⋊C4—431no—
1494C4⋊C4—431no—
1495C4⋊C4—431no—
1496C4⋊C4—431no—
1497C4⋊C4—431no—
1498C4⋊C4—431no—
1499C4⋊C4—431no—
1500C4⋊C4—431no—
1501C4⋊C4—431no—
1502C4⋊C4—431no—
1503C4⋊C4—431no—
1504C4⋊C4—861no—
1505C4⋊C4—861no—
1506C4⋊C4—861no—
1507C4⋊C4—861no—
1508C4⋊C4—861no—
1509C4⋊C4—861no—
1510C4⋊C4—861no—
1511C4⋊C4—861no—
1512C4⋊C4—861no—
1513C4⋊C4—861no—
1514C4⋊C4—861no—
1515C4⋊C4—861no—
1516C4⋊C4—861no—
1517C4⋊C4—861no—
1518C4⋊C4—861no—
1519C4⋊C4—861no—
1520C4⋊C4—861no—
1521C4⋊C4D4×D4311yescharacteristic
1522C4⋊C4C23×D4311yescharacteristic
1523C4⋊C4C23×D4311yescharacteristic
1524C4⋊C4C23×D4311yescharacteristic
1525C4⋊C4C23×D4311yescharacteristic
1526C22⋊C4—21no—
1527C22⋊C4—21no—
1528C22⋊C4—21no—
1529C22⋊C4—21no—
1530C22⋊C4—21no—
1531C22⋊C4—21no—
1532C22⋊C4—431no—
1533C22⋊C4—431no—
1534C22⋊C4—431no—
1535C22⋊C4—431no—
1536C22⋊C4—431no—
1537C22⋊C4—431no—
1538C22⋊C4—431no—
1539C22⋊C4—431no—
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—
1559C22⋊C4—861no—
1560C22⋊C4—861no—
1561C22⋊C4—861no—
1562C22⋊C4—861no—
1563C22⋊C4—861no—
1564C22⋊C4—861no—
1565C22⋊C4—861no—
1566C22⋊C4D4×D4311yescharacteristic
1567C22⋊C4D4×D4311yescharacteristic
1568C42—431no—
1569C42—431no—
1570C42—431no—
1571C42—431no—
1572C42—431no—
1573C42—861no—
1574C42—861no—
1575C42—861no—
1576C42—861no—
1577C42—861no—
1578C42—861no—
1579C42—861no—
1580C42—861no—
1581C42C23×D4311yescharacteristic
1582C23—21no—
1583C23—21no—
1584C23—21no—
1585C23—21no—
1586C23—42no—
1587C23—42no—
1588C23—42no—
1589C23—81no—
1590C23—81no—
1591C23—81no—
1592C23—431no—
1593C23—861no—
1594C23—861no—
1595C23—3441no—
1596C23—3441no—
1597C23—1722no—
1598C23C2×D4×D4311yescharacteristic
1599C23C2×D4×D4311yescharacteristic
1600Q8—81no—
1601Q8—432no—
1602Q8—862no—
1603Q8—861no—
1604Q8—861no—
1605Q8—861no—
1606Q8—3441no—
1607Q8—3441no—
1608Q8—3441no—
1609Q8—1722no—
1610D4—22no—
1611D4—21no—
1612D4—21no—
1613D4—21no—
1614D4—21no—
1615D4—21no—
1616D4—21no—
1617D4—21no—
1618D4—42no—
1619D4—42no—
1620D4—42no—
1621D4—42no—
1622D4—81no—
1623D4—81no—
1624D4—81no—
1625D4—81no—
1626D4—862no—
1627D4—862no—
1628D4—861no—
1629D4—861no—
1630D4—861no—
1631D4—861no—
1632D4—3441no—
1633D4—3441no—
1634D4—3441no—
1635D4—3441no—
1636D4—3441no—
1637D4—3441no—
1638D4—3441no—
1639D4—3441no—
1640D4—1722no—
1641D4—1722no—
1642D4—1722no—
1643D4—1722no—
1644D4—1722no—
1645D4—1722no—
1646D4—1722no—
1647D4#41×D4312yes—
1648C2×C4—21no—
1649C2×C4—21no—
1650C2×C4—21no—
1651C2×C4—21no—
1652C2×C4—21no—
1653C2×C4—21no—
1654C2×C4—21no—
1655C2×C4—21no—
1656C2×C4—42no—
1657C2×C4—81no—
1658C2×C4—81no—
1659C2×C4—81no—
1660C2×C4—431no—
1661C2×C4—431no—
1662C2×C4—431no—
1663C2×C4—431no—
1664C2×C4—431no—
1665C2×C4—431no—
1666C2×C4—431no—
1667C2×C4—862no—
1668C2×C4—862no—
1669C2×C4—861no—
1670C2×C4—861no—
1671C2×C4—861no—
1672C2×C4—861no—
1673C2×C4—861no—
1674C2×C4—861no—
1675C2×C4—861no—
1676C2×C4—861no—
1677C2×C4—3441no—
1678C2×C4—3441no—
1679C2×C4—3441no—
1680C2×C4—3441no—
1681C2×C4—3441no—
1682C2×C4—3441no—
1683C2×C4—3441no—
1684C2×C4—3441no—
1685C2×C4—3441no—
1686C2×C4—3441no—
1687C2×C4—3441no—
1688C2×C4—3441no—
1689C2×C4—1722no—
1690C2×C4—1722no—
1691C2×C4—1722no—
1692C2×C4—1722no—
1693C2×C4—1722no—
1694C2×C4C2×D4×D4311yescharacteristic
1695C2×C4C2×D4×D4311yescharacteristic
1696C2×C4C2×D4×D4311yescharacteristic
1697C2×C4C2×D4×D4311yescharacteristic
1698C2×C4C24×D4311yescharacteristic
1699C8—21no—
1700C8—21no—
1701C8—21no—
1702C8—21no—
1703C8—432no—
1704C8—861no—
1705C8—861no—
1706C8—861no—
1707C22—21no—
1708C22—21no—
1709C22—21no—
1710C22—21no—
1711C22—21no—
1712C22—22no—
1713C22—41no—
1714C22—41no—
1715C22—41no—
1716C22—41no—
1717C22—41no—
1718C22—41no—
1719C22—41no—
1720C22—41no—
1721C22—41no—
1722C22—41no—
1723C22—41no—
1724C22—84no—
1725C22—162no—
1726C22—861no—
1727C22—861no—
1728C22—861no—
1729C22—1721no—
1730C22—1721no—
1731C22—1721no—
1732C22—1721no—
1733C22—1721no—
1734C22—1721no—
1735C22—6882no—
1736C22#1458370012yes—
1737C22C22×D4×D4311yescharacteristic
1738C4—21no—
1739C4—21no—
1740C4—21no—
1741C4—21no—
1742C4—41no—
1743C4—41no—
1744C4—41no—
1745C4—41no—
1746C4—432no—
1747C4—861no—
1748C4—861no—
1749C4—861no—
1750C4—861no—
1751C4—861no—
1752C4—861no—
1753C4—862no—
1754C4—1721no—
1755C4—1721no—
1756C4—1721no—
1757C4—1721no—
1758C4—1721no—
1759C4C2×#41×D4311yescharacteristic
1760C4#1458373411yescharacteristic
1761C2—22no—
1762C2—41no—
1763C2—42no—
1764C2—81no—
1765C2—81no—
1766C2—81no—
1767C2—3441no—
1768C2—3441no—
1769C2—1721no—
1770C2#1914807911yescharacteristic
1771C2C2×#1458370011yescharacteristic
1772C2#577×D4311yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3294C2
socleC22×C43C23×D4
hypercenter#3294D43
hypocenterC43#61498
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3294

Complements

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

NH ≅ G/Ntype
1. #19148673C2semidirect
2. #19148614C2semidirect
3. #19147640C2semidirect
4. #19147500C2semidirect
5. #19147263C2semidirect
6. #19147256C2semidirect
7. #19147214C2semidirect
8. #19147069C2semidirect
9. #19147065C2semidirect
10. #19146540C2semidirect
11. #19146503C2semidirect
12. #19146499C2semidirect
13. #19146415C2semidirect
14. #19146404C2semidirect
15. #19146213C2semidirect
16. #19146094C2semidirect
17. #19146086C2semidirect
18. #19145285C2semidirect
19. #19145281C2semidirect
20. #19145169C2semidirect
21. #19144797C2semidirect
22. #19144791C2semidirect
23. #19144786C2semidirect
24. #19144772C2semidirect
25. #19144714C2semidirect
26. #19144681C2semidirect
27. #19143563C2semidirect
28. #19143421C2semidirect
29. #19143420C2semidirect
30. C2×#14582990C2semidirect
31. C43×#3294C2semidirect
36. #14583632C22semidirect
37. #14583629C22semidirect
40. #14583604C22semidirect
46. #14583567C22semidirect
47. #14583558C22semidirect
48. #14583555C22semidirect
49. #14583550C22semidirect
57. #14583523C22semidirect
60. #14583516C22semidirect
67. #14583444C22semidirect
72. #14583380C22semidirect
73. #14583378C22semidirect
76. C2×#13063290C22semidirect
78. #14583307C22semidirect
79. #14583305C22semidirect
80. #14583303C22semidirect
81. #14583287C22semidirect
82. #14583286C22semidirect
83. #14583274C22semidirect
84. #14583254C22semidirect
85. #14583252C22semidirect
86. #14583244C22semidirect
87. #14583244C22semidirect
88. #14583244C22semidirect
89. #14583242C22semidirect
90. #14583241C22semidirect
91. #14583226C22semidirect
92. #14583220C22semidirect
93. #14583218C22semidirect
94. #14583217C22semidirect
95. #14583216C22semidirect
96. #14583215C22semidirect
97. #14583212C22semidirect
98. #14583211C22semidirect
99. #14583207C22semidirect
100. #14583205C22semidirect
101. #14583202C22semidirect
102. #14583199C22semidirect
103. #14583193C22semidirect
104. #14583193C22semidirect
106. #14583187C22semidirect
107. #14583187C22semidirect
108. #14583186C22semidirect
110. #14583151C22semidirect
111. #14583150C22semidirect
112. #14583144C22semidirect
113. #14583143C22semidirect
114. #14583135C22semidirect
115. #14583134C22semidirect
116. #14583133C22semidirect
117. #14583133C22semidirect
118. #14583128C22semidirect
119. #14583127C22semidirect
120. #14583115C22semidirect
123. #14583112C22semidirect
124. #14583098C22semidirect
125. #14583098C22semidirect
126. #14583098C22semidirect
127. #14583096C22semidirect
128. #14583093C22semidirect
130. #14583092C22semidirect
133. #14583046C22semidirect
134. #14583042C22semidirect
135. #14583041C22semidirect
136. #14583041C22semidirect
137. #14583040C22semidirect
138. #14583037C22semidirect
141. #14583028C22semidirect
142. C8×Dic86C22semidirect
144. #14583011C22semidirect
145. #14583009C22semidirect
147. #14583008C22semidirect
148. #14583008C22semidirect
150. #14582998C22semidirect
151. #14582998C22semidirect
153. #14582996C22semidirect
154. #14582996C22semidirect
159. #14582990C22semidirect
160. #14582990C22semidirect
161. #14582990C22semidirect
162. #14582990C22semidirect
163. #14582990C22semidirect
164. C4×#10621873C22semidirect
165. D8×Dic43C22semidirect
166. #14582981C22semidirect
168. #14582979C22semidirect
169. #14582979C22semidirect
170. #14582974C22semidirect
171. #14582971C22semidirect
172. #14582967C22semidirect
173. C8×C22⋊D43C22semidirect
174. C8×C22⋊D43C22semidirect
175. #14582959C22semidirect
176. #14582957C22semidirect
177. #14582953C22semidirect
178. #14582940C22semidirect
179. #14582939C22semidirect
180. C2×#13063256C22semidirect
181. #14582896C22semidirect
182. #14582892C22semidirect
183. C2×#13063250C22semidirect
185. #14582854C22semidirect
186. #14582853C22semidirect
187. C2×C8×Dic43C22semidirect
188. C43×#547C22semidirect
190. C43×#486C22semidirect
191. C43×#480C22semidirect
192. C43×#480C22semidirect
194. C43×#466C22semidirect
195. C43×#466C22semidirect
196. C43×#459C22semidirect
200. C8×D4×C43C22semidirect
620. #10621883#41semidirect
889. #3294D43semidirect
938. #547C2×D43semidirect
977. #486C2×D43semidirect
988. #480C2×D43semidirect
989. #480C2×D43semidirect
1010. #466C2×D43semidirect
1011. #466C2×D43semidirect
1025. #459C2×D43semidirect
1073. C8×D4C2×D43semidirect
1089. C43#61498semidirect

Maximal subgroups

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

subgroupindex
#191486732
#191486142
#191476402
#191475002
#191472632
#191472562
#191472142
#191470692
#191470652
#191465402
#191465032
#191464992
#191464152
#191464042
#191462132
#191460942
#191460862
#191452852
#191452812
#191451692
#191447972
#191447912
#191447862
#191447722
#191447142
#191446812
#191435632
#191434212
#191434202
C2×#145829902
C43×#32942
#6149843