Finite Group Databasebeta

← #25971460

Subgroups — #25971460

Order 11008.

1792 conjugacy classes of subgroups.

The subgroup lattice has 1746 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19148487C211yesmaximal, characteristic, complemented
2#19148466C211yesmaximal, characteristic, complemented
3#19146013C211yesmaximal, characteristic, complemented
4#19146011C211yesmaximal, characteristic, complemented
5#19146005C211yesmaximal, characteristic, complemented
6#19146003C211yesmaximal, characteristic, complemented
7#19145839C211yesmaximal, characteristic, complemented
8#19145833C211yesmaximal, characteristic, complemented
9#19145792C211yesmaximal, characteristic, complemented
10#19145791C211yesmaximal, characteristic, complemented
11#19145616C211yesmaximal, characteristic, complemented
12#19145611C211yesmaximal, characteristic, complemented
13#19145580C211yesmaximal, characteristic, complemented
14#19145580C211yesmaximal, characteristic, complemented
15#19145466C211yesmaximal, characteristic, complemented
16#19145464C211yesmaximal, characteristic, complemented
17#19145459C211yesmaximal, characteristic, complemented
18#19145458C211yesmaximal, characteristic, complemented
19#19145291C211yesmaximal, characteristic, complemented
20#19145289C211yesmaximal, characteristic, complemented
21#19145188C211yesmaximal, characteristic, complemented
22#19145186C211yesmaximal, characteristic, complemented
23#19144885C211yesmaximal, characteristic, complemented
24#19144883C211yesmaximal, characteristic, complemented
25#19144837C211yesmaximal, characteristic, complemented
26#19144835C211yesmaximal, characteristic, complemented
27#19144781C211yesmaximal, characteristic, complemented
28#19144779C211yesmaximal, characteristic, complemented
29#19144773C211yesmaximal, characteristic, complemented
30#19143243C211yesmaximal, characteristic, complemented
31C43×#3118C211yesmaximal, characteristic, complemented
32#14583633—21no—
33#14583632—21no—
34#14583632—21no—
35#14583631—21no—
36#14583620—21no—
37#14583616—21no—
38#14583579—21no—
39#14583576—21no—
40#14583574—21no—
41#14583572—21no—
42#14583570—21no—
43#14583570—21no—
44#14583539—21no—
45#14583539—21no—
46#14583539—21no—
47#14583539—21no—
48#14583523C2211yescharacteristic, complemented
49#14583520C2211yescharacteristic
50#14583518C2211yescharacteristic, complemented
51#14583500C2211yescharacteristic
52#14583500C2211yescharacteristic
53#14583500C2211yescharacteristic, complemented
54#14583500C2211yescharacteristic, complemented
55#14583472C2211yescharacteristic
56#14583468C2211yescharacteristic
57#14583466C2211yescharacteristic
58#14583465C2211yescharacteristic
59#14583454C2211yescharacteristic, complemented
60#14583452C2211yescharacteristic, complemented
61#14583446C2211yescharacteristic
62#14583446C2211yescharacteristic
63#14583446C2211yescharacteristic, complemented
64#14583446C2211yescharacteristic, complemented
65C2×#13063321C2211yescharacteristic, complemented
66#14583436C2211yescharacteristic, complemented
67#14583435C2211yescharacteristic
68#14583431C2211yescharacteristic, complemented
69#14583430C2211yescharacteristic
70#124×D43C2211yescharacteristic, complemented
71#14583375C2211yescharacteristic, complemented
72#14583373C2211yescharacteristic, complemented
73#14583371C2211yescharacteristic, complemented
74#14583367C2211yescharacteristic
75#14583307C2211yescharacteristic, complemented
76#14583307C2211yescharacteristic, complemented
77#14583306C2211yescharacteristic, complemented
78#14583306C2211yescharacteristic, complemented
79#14583287C2211yescharacteristic
80#14583287C2211yescharacteristic
81#14583285C2211yescharacteristic
82#14583285C2211yescharacteristic
83#14583262C2211yescharacteristic, complemented
84#14583262C2211yescharacteristic, complemented
85#14583262C2211yescharacteristic, complemented
86#14583262C2211yescharacteristic, complemented
87#14583260C2211yescharacteristic, complemented
88#14583260C2211yescharacteristic, complemented
89#14583257C2211yescharacteristic, complemented
90#14583257C2211yescharacteristic, complemented
91#14583241C2211yescharacteristic, complemented
92#14583240C2211yescharacteristic, complemented
93#14583237C2211yescharacteristic, complemented
94#14583226C2211yescharacteristic, complemented
95#14583226C2211yescharacteristic, complemented
96#14583225C2211yescharacteristic, complemented
97#14583225C2211yescharacteristic, complemented
98#14583224C2211yescharacteristic
99#14583223C2211yescharacteristic
100#14583222C2211yescharacteristic, complemented
101#14583222C2211yescharacteristic, complemented
102#14583221C2211yescharacteristic, complemented
103#14583221C2211yescharacteristic, complemented
104#14583220C2211yescharacteristic
105#14583209C2211yescharacteristic, complemented
106#14583208C2211yescharacteristic, complemented
107#14583205C2211yescharacteristic, complemented
108#14583204C2211yescharacteristic, complemented
109#14583202C2211yescharacteristic, complemented
110#14583201C2211yescharacteristic, complemented
111#14583198C2211yescharacteristic, complemented
112#14583197C2211yescharacteristic, complemented
113#14583190C2211yescharacteristic, complemented
114#14583189C2211yescharacteristic, complemented
115#14583186C2211yescharacteristic, complemented
116#14583180C2211yescharacteristic, complemented
117#14583179C2211yescharacteristic, complemented
118#14583176C2211yescharacteristic, complemented
119#14583153C2211yescharacteristic, complemented
120#14583151C2211yescharacteristic, complemented
121#14583151C2211yescharacteristic, complemented
122#14583149C2211yescharacteristic, complemented
123#14583148C2211yescharacteristic, complemented
124#14583146C2211yescharacteristic, complemented
125#14583144C2211yescharacteristic, complemented
126#14583142C2211yescharacteristic, complemented
127#14583136C2211yescharacteristic, complemented
128#14583134C2211yescharacteristic, complemented
129#14583134C2211yescharacteristic, complemented
130#14583132C2211yescharacteristic, complemented
131#14583131C2211yescharacteristic, complemented
132#14583129C2211yescharacteristic, complemented
133#14583127C2211yescharacteristic, complemented
134#14583125C2211yescharacteristic, complemented
135#14583115C2211yescharacteristic, complemented
136#14583115C2211yescharacteristic, complemented
137#14583114C2211yescharacteristic, complemented
138#14583114C2211yescharacteristic, complemented
139#14583111C2211yescharacteristic, complemented
140#14583111C2211yescharacteristic, complemented
141#14583098C2211yescharacteristic, complemented
142#14583098C2211yescharacteristic, complemented
143#14583097C2211yescharacteristic, complemented
144#14583097C2211yescharacteristic, complemented
145#14583093C2211yescharacteristic
146#14583093C2211yescharacteristic
147#14583092C2211yescharacteristic
148#14583092C2211yescharacteristic
149#14583052C2211yescharacteristic, complemented
150#14583050C2211yescharacteristic, complemented
151#14583049C2211yescharacteristic, complemented
152#14583039C2211yescharacteristic, complemented
153#14583039C2211yescharacteristic, complemented
154#14583036C2211yescharacteristic, complemented
155#14583036C2211yescharacteristic, complemented
156#14583035C2211yescharacteristic
157#14583034C2211yescharacteristic, complemented
158#14583034C2211yescharacteristic, complemented
159#14583033C2211yescharacteristic
160#14583032C2211yescharacteristic
161#14583031C2211yescharacteristic, complemented
162#14583031C2211yescharacteristic, complemented
163#14583012C2211yescharacteristic, complemented
164#14583009C2211yescharacteristic, complemented
165#14583009C2211yescharacteristic, complemented
166#14583001C2211yescharacteristic, complemented
167#14582999C2211yescharacteristic, complemented
168#14582997C2211yescharacteristic, complemented
169C4×#10621873C2211yescharacteristic, complemented
170C4×#10621884C2211yescharacteristic, complemented
171C4×#10621883C2211yescharacteristic, complemented
172C4×D344C2211yescharacteristic, complemented
173C4×#10621882C2211yescharacteristic, complemented
174C4×#10621882C2211yescharacteristic, complemented
175#14582961C2211yescharacteristic, complemented
176#14582960C2211yescharacteristic, complemented
177#14582958C2211yescharacteristic, complemented
178#14582955C2211yescharacteristic, complemented
179#14582955C2211yescharacteristic, complemented
180#14582953C2211yescharacteristic, complemented
181#14582953C2211yescharacteristic, complemented
182#14582924C2211yescharacteristic, complemented
183#14582924C2211yescharacteristic, complemented
184#14582864C2211yescharacteristic
185#14582864C2211yescharacteristic
186C4×#10621872C2211yescharacteristic, complemented
187#97×D43C2211yescharacteristic, complemented
188C43×#542C2211yescharacteristic
189C43×#518C2211yescharacteristic, complemented
190C43×#485C2211yescharacteristic, complemented
191C43×#482C2211yescharacteristic
192C43×#476C2211yescharacteristic, complemented
193C43×#474C2211yescharacteristic, complemented
194C43×#463C2211yescharacteristic, complemented
195C43×#463C2211yescharacteristic, complemented
196C43×#450C2211yescharacteristic, complemented
197C43×#447C2211yescharacteristic
198C43×#442C2211yescharacteristic, complemented
199C43×#440C2211yescharacteristic, complemented
200C4×SD16×C43C2211yescharacteristic, complemented
201C4×D8×C43C2211yescharacteristic, complemented
202C43×#433C2211yescharacteristic, complemented
203C2×#10621898—21no—
204C2×#10621898—21no—
205C2×#10621898—21no—
206C2×#10621898—21no—
207C2×#10621898C2311yescharacteristic
208C2×Q8×D43C2311yescharacteristic
209C22×D172C2311yescharacteristic
210C22×C22⋊D43—21no—
211C22×C22⋊D43—21no—
212C2×D4×D43C2311yescharacteristic
213C2×#10621873C2311yescharacteristic
214C2×#10621873C2311yescharacteristic
215C2×#10621883C2311yescharacteristic
216C2×#10621883C2311yescharacteristic
217C2×#10621884C2311yescharacteristic
218C2×#10621884C2311yescharacteristic
219C2×D344C2311yescharacteristic
220C2×D344C2311yescharacteristic
221C2×#10621882C2311yescharacteristic
222C2×#10621882C2311yescharacteristic
223C2×#10621882C2311yescharacteristic
224C2×#10621882C2311yescharacteristic
225C2×#10621872C2311yescharacteristic
226C2×#10621872C2311yescharacteristic
227C2×C8×D43C2311yescharacteristic
228C2×C8×D43C2311yescharacteristic
229#13063325C2311yescharacteristic
230#13063324—21no—
231#13063324C2311yescharacteristic
232#13063324C2311yescharacteristic
233#13063322—21no—
234#13063321—21no—
235#13063321—21no—
236#13063321—21no—
237#13063321—21no—
238#13063321C2311yescharacteristic
239#13063321C2311yescharacteristic
240#13063321C2311yescharacteristic
241#13063321C2311yescharacteristic
242#13063320—21no—
243#13063320—21no—
244#13063320—21no—
245#13063320—21no—
246#13063318—21no—
247#13063318—21no—
248#13063318—21no—
249#13063316C2311yescharacteristic
250#13063316C2311yescharacteristic
251#13063316C2311yescharacteristic
252#13063316C2311yescharacteristic
253#13063314—21no—
254#13063314C2311yescharacteristic
255#13063313—21no—
256#13063313C2311yescharacteristic
257#13063312—21no—
258#13063312C2311yescharacteristic
259#13063311—21no—
260#13063311—21no—
261#13063311—21no—
262#13063311—21no—
263#13063311—21no—
264#13063311—21no—
265#13063311—21no—
266#13063311—21no—
267#13063311—21no—
268#13063311—21no—
269#13063310—21no—
270#13063310—21no—
271#13063310—21no—
272#13063309—21no—
273#13063309—21no—
274#13063308—21no—
275#13063308—21no—
276#13063308—21no—
277#13063308—21no—
278#13063307—21no—
279#13063307—21no—
280#13063307—21no—
281#13063307—21no—
282#13063307—21no—
283#13063307—21no—
284#13063307—21no—
285#13063306—21no—
286#13063305—21no—
287#13063305C2311yescharacteristic
288#13063304C2311yescharacteristic
289#13063303—21no—
290#13063302—21no—
291#13063302—21no—
292#13063302—21no—
293#13063301—21no—
294#13063301—21no—
295#13063301C2311yescharacteristic
296#13063300C2311yescharacteristic
297#13063300C2311yescharacteristic
298#13063300C2311yescharacteristic
299#13063300C2311yescharacteristic
300#13063300C2311yescharacteristic
301#13063299—21no—
302#13063299—21no—
303#13063299—21no—
304#13063299—21no—
305#13063299C2311yescharacteristic
306#13063298—21no—
307#13063298—21no—
308#13063298—21no—
309#13063298—21no—
310#13063298—21no—
311#13063298—21no—
312#13063298—21no—
313#13063298—21no—
314#13063296C2311yescharacteristic
315#13063296C2311yescharacteristic
316#13063296C2311yescharacteristic
317#13063296C2311yescharacteristic
318#13063296C2311yescharacteristic
319#13063295—21no—
320#13063295—21no—
321#13063295—21no—
322#13063294—21no—
323#13063294—21no—
324#13063293—21no—
325Q8×Dic43—21no—
326Q8×Dic43C2311yescharacteristic
327C4×Dic86—21no—
328C4×Dic86—21no—
329C4×Dic86—21no—
330C4×Dic86C2311yescharacteristic
331#13063290—21no—
332#13063290—21no—
333#13063290D411yescharacteristic
334#13063290D411yescharacteristic
335#13063290C2311yescharacteristic
336C4×D172—21no—
337C4×D172C2311yescharacteristic
338C4×D172C2311yescharacteristic
339C4×D172C2311yescharacteristic
340C4×D172C2311yescharacteristic
341C4×D172C2311yescharacteristic
342D4×Dic43—21no—
343D4×Dic43C2311yescharacteristic
344#13063287—21no—
345#13063287—21no—
346#13063287D411yescharacteristic
347#13063287D411yescharacteristic
348#13063287C2311yescharacteristic
349C4×C22⋊D43—21no—
350C4×C22⋊D43—21no—
351C4×C22⋊D43—21no—
352C4×C22⋊D43—21no—
353C4×C22⋊D43—21no—
354C4×C22⋊D43—21no—
355(C22⋊D43)⋊C4—21no—
356(C22⋊D43)⋊C4—21no—
357(C22⋊D43)⋊C4D411yescharacteristic
358(C22⋊D43)⋊C4D411yescharacteristic
359(C22⋊D43)⋊C4D411yescharacteristic
360(C22⋊D43)⋊C4D411yescharacteristic
361#13063284—21no—
362#13063284C2311yescharacteristic
363#13063283—21no—
364#13063283—21no—
365#13063283C2311yescharacteristic
366#13063283C2311yescharacteristic
367#13063282—21no—
368#13063282—21no—
369#13063282C2311yescharacteristic
370#13063282C2311yescharacteristic
371#13063281—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—
378C2×C4×Dic43C2311yescharacteristic
379C42×D43C2311yescharacteristic
380C42×D43C2311yescharacteristic
381#13063259C2311yescharacteristic
382#13063259C2311yescharacteristic
383#13063258C2311yescharacteristic
384#13063258C2311yescharacteristic
385#13063258C2311yescharacteristic
386#13063258C2311yescharacteristic
387#13063257C2311yescharacteristic
388#13063257C2311yescharacteristic
389#13063256C2311yescharacteristic
390#13063256C2311yescharacteristic
391#13063256C2311yescharacteristic
392#13063256C2311yescharacteristic
393C4⋊(C43⋊C8)C2311yescharacteristic
394C4⋊(C43⋊C8)C2311yescharacteristic
395Dic43⋊C8C2311yescharacteristic
396Dic43⋊C8C2311yescharacteristic
397Dic43⋊C8C2311yescharacteristic
398Dic43⋊C8C2311yescharacteristic
399#13063250C2311yescharacteristic
400#13063250C2311yescharacteristic
401#13063249C2311yescharacteristic
402#13063249C2311yescharacteristic
403#13063248C2311yescharacteristic
404#13063248C2311yescharacteristic
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#13063245C2311yescharacteristic
418#13063245C2311yescharacteristic
419#13063245C2311yescharacteristic
420#13063245C2311yescharacteristic
421#13063245C2311yescharacteristic
422#13063245C2311yescharacteristic
423C22⋊(C43⋊C8)C2311yescharacteristic
424C22⋊(C43⋊C8)C2311yescharacteristic
425(C2×D43)⋊C8C2311yescharacteristic
426(C2×D43)⋊C8C2311yescharacteristic
427(C2×D43)⋊C8C2311yescharacteristic
428(C2×D43)⋊C8C2311yescharacteristic
429#13063236C2311yescharacteristic
430#13063235C2311yescharacteristic
431#13063235C2311yescharacteristic
432#13063235C2311yescharacteristic
433#13063235C2311yescharacteristic
434C4×C43⋊C8C2311yescharacteristic
435C22×D4×C43C2311yescharacteristic
436C2×SD16×C43C2311yescharacteristic
437C2×SD16×C43C2311yescharacteristic
438C2×D8×C43C2311yescharacteristic
439C2×D8×C43C2311yescharacteristic
440C4⋊Q8×C43C2311yescharacteristic
441#126×C43—21no—
442#124×C43—21no—
443#124×C43C2311yescharacteristic
444#123×C43—21no—
445C22⋊Q8×C43—21no—
446C22⋊Q8×C43C2311yescharacteristic
447#121×C43C2311yescharacteristic
448C4×Q8×C43C2311yescharacteristic
449C4×D4×C43—21no—
450C4×D4×C43—21no—
451C4×D4×C43C2311yescharacteristic
452C4×D4×C43C2311yescharacteristic
453C4×D4×C43C2311yescharacteristic
454C4×D4×C43C2311yescharacteristic
455C4×D4×C43C2311yescharacteristic
456#117×C43C2311yescharacteristic
457#117×C43C2311yescharacteristic
458C2×C22⋊C4×C43—21no—
459C2×C22⋊C4×C43—21no—
460#107×C43C2311yescharacteristic
461#107×C43C2311yescharacteristic
462#106×C43C2311yescharacteristic
463#106×C43C2311yescharacteristic
464C4⋊C8×C43C2311yescharacteristic
465C4⋊C8×C43C2311yescharacteristic
466#103×C43C2311yescharacteristic
467#103×C43C2311yescharacteristic
468#102×C43C2311yescharacteristic
469#102×C43C2311yescharacteristic
470#102×C43C2311yescharacteristic
471#102×C43C2311yescharacteristic
472#102×C43C2311yescharacteristic
473#102×C43C2311yescharacteristic
474C22⋊C8×C43C2311yescharacteristic
475C22⋊C8×C43C2311yescharacteristic
476#97×C43C2311yescharacteristic
477C4×C8×C43C2311yescharacteristic
478C24×C43—21no—
479C23×D43—21no—
480C23×D43—21no—
481C2×Q8×C43—21no—
482C2×Q8×C43C2411yescharacteristic
483C2×D4×C43—21no—
484C2×D4×C43—21no—
485C2×D4×C43—41no—
486C2×D4×C43—41no—
487C2×D4×C43C2411yescharacteristic
488C2×D4×C43C2411yescharacteristic
489C2×D4×C43C2411yescharacteristic
490C22×C4×C43—21no—
491C22×C4×C43—21no—
492C22×C4×C43—21no—
493C22×C4×C43—21no—
494C22×C4×C43—21no—
495C22×C4×C43C2411yescharacteristic
496C2×C22⋊D43—21no—
497C2×C22⋊D43—21no—
498C2×C22⋊D43—21no—
499C2×C22⋊D43—21no—
500C2×C22⋊D43—21no—
501C2×C22⋊D43—21no—
502C2×C22⋊D43—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—82no—
512C2×C22⋊D43—82no—
513C2×C22⋊D43C2×D411yescharacteristic
514C2×C22⋊D43C2×D411yescharacteristic
515C22×Dic43—21no—
516C22×Dic43C2×D411yescharacteristic
517C22×Dic43C2×D411yescharacteristic
518Q8×D43—41no—
519Q8×D43—41no—
520D4×D43—41no—
521D4×D43—41no—
522#10621898—41no—
523#10621898—41no—
524#10621898—82no—
525#10621898—82no—
526#10621898—82no—
527#10621898—82no—
528C2×D172—21no—
529C2×D172—21no—
530C2×D172—21no—
531C2×D172—21no—
532C2×D172—21no—
533C2×D172—21no—
534C2×D172—41no—
535C2×D172—41no—
536C2×D172C2×D411yescharacteristic
537C2×D172C2411yescharacteristic
538C2×D172C2411yescharacteristic
539C2×D172C2411yescharacteristic
540C2×C4×D43—21no—
541C2×C4×D43—21no—
542C2×C4×D43—21no—
543C2×C4×D43—21no—
544C2×C4×D43—21no—
545C2×C4×D43—21no—
546C2×C4×D43—21no—
547C2×C4×D43C2×D411yescharacteristic
548C2×C4×D43C2×D411yescharacteristic
549C2×C4×D43C2×D411yescharacteristic
550C2×C4×D43C2×D411yescharacteristic
551C2×C4×D43C2411yescharacteristic
552C2×C4×D43C2411yescharacteristic
553C2×Dic86—21no—
554C2×Dic86—21no—
555C2×Dic86—21no—
556C2×Dic86—21no—
557C2×Dic86C2×D411yescharacteristic
558C2×Dic86C2411yescharacteristic
559SD16×C43—41no—
560SD16×C43—41no—
561D8×C43—41no—
562D8×C43—41no—
563C2×C8×C43C2411yescharacteristic
564C2×C8×C43C2411yescharacteristic
565C2×C8×C43C2411yescharacteristic
566C2×C8×C43C2411yescharacteristic
567C4⋊C4×C43—21no—
568C4⋊C4×C43—21no—
569C4⋊C4×C43—21no—
570C4⋊C4×C43C2×D411yescharacteristic
571C4⋊C4×C43C2×D411yescharacteristic
572C4⋊C4×C43C2411yescharacteristic
573C4⋊C4×C43C2411yescharacteristic
574C4⋊C4×C43C2411yescharacteristic
575C4⋊C4×C43C2411yescharacteristic
576C22⋊C4×C43—21no—
577C22⋊C4×C43—21no—
578C22⋊C4×C43—21no—
579C22⋊C4×C43—21no—
580C22⋊C4×C43—21no—
581C22⋊C4×C43—21no—
582C22⋊C4×C43—21no—
583C22⋊C4×C43—21no—
584C22⋊C4×C43—21no—
585C22⋊C4×C43—21no—
586C22⋊C4×C43C2×D411yescharacteristic
587C22⋊C4×C43C2×D411yescharacteristic
588C42×C43—21no—
589C42×C43—21no—
590C42×C43C2411yescharacteristic
591C42×C43C2411yescharacteristic
592C22⋊Dic43—21no—
593C22⋊Dic43—21no—
594C22⋊Dic43—21no—
595C22⋊Dic43—21no—
596C22⋊Dic43—21no—
597C22⋊Dic43—21no—
598C22⋊Dic43—21no—
599C22⋊Dic43—21no—
600C22⋊Dic43—21no—
601C22⋊Dic43—21no—
602#10621884—41no—
603#10621884—41no—
604#10621883—41no—
605#10621883—41no—
606#10621882—41no—
607#10621882—41no—
608#10621882—41no—
609#10621882—41no—
610(C2×D43)⋊C4—21no—
611(C2×D43)⋊C4—21no—
612(C2×D43)⋊C4—21no—
613(C2×D43)⋊C4—21no—
614(C2×D43)⋊C4—21no—
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)⋊C4C2×D411yescharacteristic
631(C2×D43)⋊C4C2×D411yescharacteristic
632(C2×D43)⋊C4C2×D411yescharacteristic
633(C2×D43)⋊C4C2×D411yescharacteristic
634C4⋊Dic43—21no—
635C4⋊Dic43—21no—
636C4⋊Dic43—21no—
637C4⋊Dic43—21no—
638C4⋊Dic43—21no—
639C4⋊Dic43—21no—
640C4⋊Dic43—21no—
641C4⋊Dic43C2411yescharacteristic
642C4⋊Dic43C2411yescharacteristic
643C4⋊Dic43C2411yescharacteristic
644C4⋊Dic43C2411yescharacteristic
645Dic43⋊C4—21no—
646Dic43⋊C4—21no—
647Dic43⋊C4—21no—
648Dic43⋊C4—21no—
649Dic43⋊C4—21no—
650Dic43⋊C4—21no—
651Dic43⋊C4—21no—
652Dic43⋊C4—21no—
653Dic43⋊C4—21no—
654Dic43⋊C4—21no—
655Dic43⋊C4C2×D411yescharacteristic
656Dic43⋊C4C2×D411yescharacteristic
657Dic43⋊C4C2×D411yescharacteristic
658Dic43⋊C4C2×D411yescharacteristic
659C4×Dic43—21no—
660C4×Dic43—21no—
661C4×Dic43—21no—
662C4×Dic43—21no—
663C4×Dic43—21no—
664C4×Dic43—21no—
665C4×Dic43C2×D411yescharacteristic
666C4×Dic43C2×D411yescharacteristic
667C4×Dic43C2×D411yescharacteristic
668C4×Dic43C2×D411yescharacteristic
669C4×Dic43C2×D411yescharacteristic
670C4×Dic43C2×D411yescharacteristic
671C4×Dic43C2411yescharacteristic
672C4×Dic43C2411yescharacteristic
673C2×C43⋊C8C2411yescharacteristic
674C2×C43⋊C8C2411yescharacteristic
675C2×C43⋊C8C2411yescharacteristic
676C2×C43⋊C8C2411yescharacteristic
677D344—41no—
678D344—41no—
679#10621873—41no—
680#10621873—41no—
681#10621872—41no—
682#10621872—41no—
683C8×D43—41no—
684C8×D43—41no—
685C23×C43—21no—
686C23×C43—21no—
687C23×C43—21no—
688C23×C43—42no—
689C23×C43—81no—
690C23×C43—81no—
691C23×C43C22×D411yescharacteristic
692C22×D43—21no—
693C22×D43—21no—
694C22×D43—21no—
695C22×D43—42no—
696C22×D43—42no—
697C22×D43—81no—
698C22×D43—81no—
699C22×D43—81no—
700C22×D43—81no—
701C22×D43C22×D411yescharacteristic
702C22×D43C22×D411yescharacteristic
703Q8×C43—21no—
704Q8×C43—21no—
705Q8×C43—81no—
706D4×C43—21no—
707D4×C43—21no—
708D4×C43—21no—
709D4×C43—21no—
710D4×C43—21no—
711D4×C43—21no—
712D4×C43—42no—
713D4×C43—81no—
714C2×C4×C43—21no—
715C2×C4×C43—21no—
716C2×C4×C43—21no—
717C2×C4×C43—21no—
718C2×C4×C43—21no—
719C2×C4×C43—21no—
720C2×C4×C43—21no—
721C2×C4×C43—81no—
722C2×C4×C43—81no—
723C2×C4×C43—81no—
724C2×C4×C43—81no—
725C2×C4×C43—81no—
726C2×C4×C43C22×D411yescharacteristic
727C2×C4×C43C22×D411yescharacteristic
728C2×C4×C43C22×D411yescharacteristic
729C2×C4×C43C22×D411yescharacteristic
730C2×C4×C43C22×D411yescharacteristic
731C2×C4×C43C2511yescharacteristic
732C22⋊D43—41no—
733C22⋊D43—41no—
734C22⋊D43—42no—
735C22⋊D43—42no—
736C22⋊D43—42no—
737C22⋊D43—42no—
738C22⋊D43—42no—
739C22⋊D43—81no—
740C22⋊D43—81no—
741C22⋊D43—81no—
742C22⋊D43—81no—
743C22⋊D43—81no—
744C22⋊D43—81no—
745C22⋊D43—81no—
746C22⋊D43—81no—
747C22⋊D43—81no—
748C22⋊D43—81no—
749C2×Dic43—21no—
750C2×Dic43—21no—
751C2×Dic43—21no—
752C2×Dic43—21no—
753C2×Dic43—21no—
754C2×Dic43—41no—
755C2×Dic43—41no—
756C2×Dic43—81no—
757C2×Dic43C22×D411yescharacteristic
758C2×Dic43C22×D411yescharacteristic
759C2×Dic43C22×D411yescharacteristic
760C2×Dic43C22×D411yescharacteristic
761C2×Dic43C22×D411yescharacteristic
762C2×Dic43C22×D411yescharacteristic
763D172—21no—
764D172—21no—
765D172—21no—
766D172—21no—
767D172—21no—
768D172—21no—
769D172—41no—
770D172—42no—
771D172—81no—
772D172—81no—
773D172—81no—
774D172—81no—
775D172—81no—
776C4×D43—21no—
777C4×D43—21no—
778C4×D43—21no—
779C4×D43—21no—
780C4×D43—41no—
781C4×D43—41no—
782C4×D43—41no—
783C4×D43—41no—
784C4×D43—42no—
785C4×D43—81no—
786C4×D43—81no—
787C4×D43—81no—
788C4×D43—81no—
789C4×D43—81no—
790C4×D43—81no—
791Dic86—21no—
792Dic86—21no—
793Dic86—41no—
794Dic86—42no—
795Dic86—42no—
796Dic86—42no—
797Dic86—81no—
798C8×C43—21no—
799C8×C43—21no—
800C8×C43—21no—
801C8×C43—21no—
802C43⋊C8—21no—
803C43⋊C8—21no—
804C43⋊C8—21no—
805C43⋊C8—21no—
806#61017—431nomaximal, Sylow
807C22×C43—21no—
808C22×C43—21no—
809C22×C43—21no—
810C22×C43—41no—
811C22×C43—41no—
812C22×C43—41no—
813C22×C43—41no—
814C22×C43—41no—
815C22×C43—41no—
816C22×C43—41no—
817C22×C43—41no—
818C22×C43—41no—
819C22×C43—162no—
820C22×C43C23×D411yescharacteristic
821C2×D43—21no—
822C2×D43—21no—
823C2×D43—21no—
824C2×D43—21no—
825C2×D43—21no—
826C2×D43—21no—
827C2×D43—41no—
828C2×D43—41no—
829C2×D43—41no—
830C2×D43—41no—
831C2×D43—41no—
832C2×D43—41no—
833C2×D43—41no—
834C2×D43—41no—
835C2×D43—41no—
836C2×D43—162no—
837C2×D43—162no—
838C4×C43—21no—
839C4×C43—21no—
840C4×C43—21no—
841C4×C43—21no—
842C4×C43—21no—
843C4×C43—41no—
844C4×C43—41no—
845C4×C43—41no—
846C4×C43—41no—
847C4×C43—41no—
848C4×C43#58511yescharacteristic
849C4×C43#58511yescharacteristic
850Dic43—21no—
851Dic43—21no—
852Dic43—21no—
853Dic43—21no—
854Dic43—21no—
855Dic43—21no—
856Dic43—41no—
857Dic43—41no—
858Dic43—41no—
859Dic43—41no—
860Dic43—41no—
861#3510—431no—
862#3508—431no—
863#3257—431no—
864#3257—431no—
865#3257—431no—
866#3257—431no—
867#3240—431no—
868#3240—431no—
869#3235—431no—
870#3235—431no—
871#3217—431no—
872#3217—431no—
873#3213—431no—
874#3213—431no—
875#3200—431no—
876#3200—431no—
877#3199—431no—
878#3199—431no—
879#3180—431no—
880#3180—431no—
881#3171—431no—
882#3171—431no—
883#3126—431no—
884#3126—431no—
885#3122—431no—
886#3122—431no—
887#3118—431no—
888#3118—431no—
889#3118—431no—
890#3118D4311yescharacteristic, complemented
891#2923—431no—
892C2×C43—41no—
893C2×C43—81no—
894C2×C43—81no—
895C2×C43—81no—
896C2×C43#344911yescharacteristic
897C2×C43#358511yescharacteristic
898C2×C43#358511yescharacteristic
899D43—41no—
900D43—41no—
901D43—81no—
902D43—81no—
903D43—81no—
904#559—861no—
905#559—861no—
906#559—861no—
907#559—861no—
908#556—861no—
909#556—861no—
910#551—861no—
911#551—861no—
912#551—861no—
913#551—861no—
914#550—861no—
915#550—861no—
916#546—861no—
917#546—861no—
918#546—861no—
919#546—861no—
920#542—431no—
921#542—431no—
922#542—431no—
923#542C2×D4311yescharacteristic
924#540—431no—
925#540—431no—
926#540—431no—
927#540—431no—
928#536—431no—
929#535—431no—
930#535—431no—
931#535—431no—
932#533—431no—
933#533—431no—
934#532—431no—
935#532—431no—
936#532—431no—
937#532—431no—
938C2×#127—431no—
939#529—431no—
940#529—431no—
941#529—431no—
942#529—431no—
943C2×#124—431no—
944#519—431no—
945#518—431no—
946#518—431no—
947#518C2×D4311yescharacteristic, complemented
948C4×#41—431no—
949#501—431no—
950#501—431no—
951#501—431no—
952#501—431no—
953#496—431no—
954#496—431no—
955#496—431no—
956#496—431no—
957#490—431no—
958#490—431no—
959#490—431no—
960#490—431no—
961#489—431no—
962#489—431no—
963#489—431no—
964#489—431no—
965#485—431no—
966#485—431no—
967#485—431no—
968#485C2×D4311yescharacteristic, complemented
969#482—431no—
970#482—431no—
971#482—431no—
972#482—431no—
973#482—431no—
974#482—431no—
975#482—431no—
976#482—431no—
977#482—431no—
978#482—431no—
979#482—431no—
980#482C2×D4311yescharacteristic
981#479—431no—
982#479—431no—
983#479—431no—
984#479—431no—
985#478—431no—
986#478—431no—
987#478—431no—
988#478—431no—
989#476—431no—
990#476—431no—
991#476—431no—
992#476C2×D4311yescharacteristic, complemented
993#474—431no—
994#474—431no—
995#474—431no—
996#474C2×D4311yescharacteristic, complemented
997#469—431no—
998#469—431no—
999#469—431no—
1000#469—431no—
1001#468—431no—
1002#468—431no—
1003#468—431no—
1004#468—431no—
1005#466—431no—
1006#466—431no—
1007#466—431no—
1008#466—431no—
1009#465—431no—
1010#465—431no—
1011#465—431no—
1012#465—431no—
1013#463—431no—
1014#463—431no—
1015#463—431no—
1016#463—431no—
1017#463—431no—
1018#463—431no—
1019#463C2×D4311yescharacteristic, complemented
1020#463C2×D4311yescharacteristic, complemented
1021#460—431no—
1022#460—431no—
1023#460—431no—
1024#460—431no—
1025#459—431no—
1026#459—431no—
1027#459—431no—
1028#459—431no—
1029#450—431no—
1030#450—431no—
1031#450—431no—
1032#450C2×D4311yescharacteristic, complemented
1033#448—431no—
1034#448—431no—
1035#448—431no—
1036#448—431no—
1037#447—431no—
1038#447—431no—
1039#447—431no—
1040#447—431no—
1041#447—431no—
1042#447—431no—
1043#447—431no—
1044#447C2×D4311yescharacteristic
1045#442—431no—
1046#442—431no—
1047#442—431no—
1048#442C2×D4311yescharacteristic, complemented
1049#440—431no—
1050#440—431no—
1051#440—431no—
1052#440C2×D4311yescharacteristic, complemented
1053C4×SD16—431no—
1054C4×SD16—431no—
1055C4×SD16—431no—
1056C4×SD16C2×D4311yescharacteristic, complemented
1057C4×D8—431no—
1058C4×D8—431no—
1059C4×D8—431no—
1060C4×D8C2×D4311yescharacteristic, complemented
1061#433—431no—
1062#433—431no—
1063#433—431no—
1064#433C2×D4311yescharacteristic, complemented
1065#432—431no—
1066#432—431no—
1067#432—431no—
1068#432—431no—
1069#424—431no—
1070#424—431no—
1071#408—431no—
1072#408—431no—
1073C4×M16—431no—
1074C2×#97—431no—
1075C43#6101711yescharacteristic, complemented, Sylow
1076C2×#41—431no—
1077C2×#41—861no—
1078C2×#41—861no—
1079C2×#41—861no—
1080C2×#41—861no—
1081C22×Q8—431no—
1082C22×D4—431no—
1083C22×D4—431no—
1084C22×D4—861no—
1085C22×D4—861no—
1086C22×D4C22×D4311yescharacteristic
1087C2×SD16—431no—
1088C2×SD16—431no—
1089C2×SD16—431no—
1090C2×SD16—431no—
1091C2×SD16—431no—
1092C2×SD16—431no—
1093C2×SD16C22×D4311yescharacteristic
1094C2×SD16C22×D4311yescharacteristic
1095C2×D8—431no—
1096C2×D8—431no—
1097C2×D8—431no—
1098C2×D8—431no—
1099C2×D8—431no—
1100C2×D8—431no—
1101C2×D8C22×D4311yescharacteristic
1102C2×D8C22×D4311yescharacteristic
1103C2×M16—431no—
1104C2×M16—431no—
1105C22×C8—431no—
1106C22×C8—431no—
1107C4⋊Q8—431no—
1108C4⋊Q8—431no—
1109C4⋊Q8—431no—
1110C4⋊Q8—861no—
1111C4⋊Q8C22×D4311yescharacteristic
1112#127—431no—
1113#127—431no—
1114#127—431no—
1115#127—431no—
1116#127—861no—
1117#127—861no—
1118#127—861no—
1119#127—861no—
1120#127—861no—
1121#126—21no—
1122#126—861no—
1123#126—861no—
1124#126—861no—
1125#126—861no—
1126#126—861no—
1127#126—861no—
1128#126—861no—
1129#125—431no—
1130#125—431no—
1131#125—431no—
1132#125—431no—
1133#124—21no—
1134#124—431no—
1135#124—431no—
1136#124—431no—
1137#124—861no—
1138#124—861no—
1139#124—861no—
1140#124—861no—
1141#124—861no—
1142#124—861no—
1143#124—861no—
1144#124—861no—
1145#124—861no—
1146#124—861no—
1147#124—861no—
1148#124—861no—
1149#124—861no—
1150#124C22×D4311yescharacteristic
1151#123—21no—
1152#123—861no—
1153#123—861no—
1154#123—861no—
1155#123—861no—
1156#123—861no—
1157#123—861no—
1158#123—861no—
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—
1169C22⋊Q8—21no—
1170C22⋊Q8—431no—
1171C22⋊Q8—431no—
1172C22⋊Q8—431no—
1173C22⋊Q8—861no—
1174C22⋊Q8—861no—
1175C22⋊Q8—861no—
1176C22⋊Q8—861no—
1177C22⋊Q8—861no—
1178C22⋊Q8—861no—
1179C22⋊Q8—861no—
1180C22⋊Q8C22×D4311yescharacteristic
1181#121—431no—
1182#121—431no—
1183#121—431no—
1184#121—431no—
1185#121—431no—
1186#121—431no—
1187#121—431no—
1188#121—431no—
1189#121—431no—
1190#121—431no—
1191#121—431no—
1192#121—861no—
1193#121—861no—
1194#121—861no—
1195#121—861no—
1196#121—861no—
1197#121—861no—
1198#121—861no—
1199#121—861no—
1200#121—861no—
1201#121—861no—
1202#121—861no—
1203#121—861no—
1204#121C22×D4311yescharacteristic
1205#120—861no—
1206#120—861no—
1207#120—861no—
1208#120—861no—
1209#120—861no—
1210#120—861no—
1211C4×Q8—431no—
1212C4×Q8—431no—
1213C4×Q8—431no—
1214C4×Q8—431no—
1215C4×Q8—431no—
1216C4×Q8—861no—
1217C4×Q8—861no—
1218C4×Q8—861no—
1219C4×Q8—861no—
1220C4×Q8—861no—
1221C4×Q8—861no—
1222C4×Q8C22×D4311yescharacteristic
1223C4×D4—21no—
1224C4×D4—21no—
1225C4×D4—431no—
1226C4×D4—431no—
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—861no—
1239C4×D4—861no—
1240C4×D4—861no—
1241C4×D4—861no—
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×D4C22×D4311yescharacteristic
1251C4×D4C22×D4311yescharacteristic
1252C4×D4C22×D4311yescharacteristic
1253C4×D4C22×D4311yescharacteristic
1254C4×D4C22×D4311yescharacteristic
1255#117—431no—
1256#117—431no—
1257#117—431no—
1258#117—431no—
1259#117—431no—
1260#117—861no—
1261#117—861no—
1262#117—861no—
1263#117—861no—
1264#117—861no—
1265#117—861no—
1266#117C22×D4311yescharacteristic
1267#117C22×D4311yescharacteristic
1268C2×C22⋊C4—21no—
1269C2×C22⋊C4—21no—
1270C2×C22⋊C4—861no—
1271C2×C22⋊C4—861no—
1272C2×C22⋊C4—861no—
1273C2×C22⋊C4—861no—
1274C2×C22⋊C4—861no—
1275C2×C22⋊C4—861no—
1276C2×C42—431no—
1277C2×C42—431no—
1278C2×C42—431no—
1279#107—431no—
1280#107—431no—
1281#107—431no—
1282#107—431no—
1283#107—431no—
1284#107—431no—
1285#107C22×D4311yescharacteristic
1286#107C22×D4311yescharacteristic
1287#106—431no—
1288#106—431no—
1289#106—431no—
1290#106—431no—
1291#106—431no—
1292#106—431no—
1293#106C22×D4311yescharacteristic
1294#106C22×D4311yescharacteristic
1295C4⋊C8—431no—
1296C4⋊C8—431no—
1297C4⋊C8—431no—
1298C4⋊C8—431no—
1299C4⋊C8—431no—
1300C4⋊C8—431no—
1301C4⋊C8C22×D4311yescharacteristic
1302C4⋊C8C22×D4311yescharacteristic
1303#103—431no—
1304#103—431no—
1305#103—431no—
1306#103—431no—
1307#103—431no—
1308#103—431no—
1309#103C22×D4311yescharacteristic
1310#103C22×D4311yescharacteristic
1311#102—431no—
1312#102—431no—
1313#102—431no—
1314#102—431no—
1315#102—431no—
1316#102—431no—
1317#102—431no—
1318#102—431no—
1319#102—431no—
1320#102—431no—
1321#102—431no—
1322#102—431no—
1323#102—431no—
1324#102—431no—
1325#102—431no—
1326#102—431no—
1327#102—431no—
1328#102—431no—
1329#102C22×D4311yescharacteristic
1330#102C22×D4311yescharacteristic
1331#102C22×D4311yescharacteristic
1332#102C22×D4311yescharacteristic
1333#102C22×D4311yescharacteristic
1334#102C22×D4311yescharacteristic
1335C22⋊C8—431no—
1336C22⋊C8—431no—
1337C22⋊C8—431no—
1338C22⋊C8—431no—
1339C22⋊C8—431no—
1340C22⋊C8—431no—
1341C22⋊C8C22×D4311yescharacteristic
1342C22⋊C8C22×D4311yescharacteristic
1343#97—431no—
1344#97—431no—
1345#97—431no—
1346#97—431no—
1347#97—431no—
1348#97C22×D4311yescharacteristic
1349C4×C8—431no—
1350C4×C8C22×D4311yescharacteristic
1351C24—21no—
1352C24—861no—
1353C24—861no—
1354#41—3442no—
1355#41—3442no—
1356#41—3442no—
1357#41—3442no—
1358#41—1721no—
1359#41—1721no—
1360C2×Q8—21no—
1361C2×Q8—431no—
1362C2×Q8—431no—
1363C2×Q8—861no—
1364C2×Q8—861no—
1365C2×Q8—861no—
1366C2×Q8—861no—
1367C2×Q8—1721no—
1368C2×Q8—1721no—
1369C2×Q8C23×D4311yescharacteristic
1370C2×D4—21no—
1371C2×D4—21no—
1372C2×D4—41no—
1373C2×D4—41no—
1374C2×D4—431no—
1375C2×D4—431no—
1376C2×D4—431no—
1377C2×D4—431no—
1378C2×D4—431no—
1379C2×D4—431no—
1380C2×D4—861no—
1381C2×D4—861no—
1382C2×D4—861no—
1383C2×D4—861no—
1384C2×D4—861no—
1385C2×D4—861no—
1386C2×D4—861no—
1387C2×D4—861no—
1388C2×D4—861no—
1389C2×D4—861no—
1390C2×D4—861no—
1391C2×D4—861no—
1392C2×D4—861no—
1393C2×D4—861no—
1394C2×D4—861no—
1395C2×D4—861no—
1396C2×D4—861no—
1397C2×D4—861no—
1398C2×D4—861no—
1399C2×D4—861no—
1400C2×D4—861no—
1401C2×D4—3442no—
1402C2×D4—3442no—
1403C2×D4—1721no—
1404C2×D4—1721no—
1405C2×D4—1721no—
1406C2×D4—1721no—
1407C2×D4C23×D4311yescharacteristic
1408C2×D4C23×D4311yescharacteristic
1409C2×D4C23×D4311yescharacteristic
1410C22×C4—21no—
1411C22×C4—21no—
1412C22×C4—21no—
1413C22×C4—21no—
1414C22×C4—21no—
1415C22×C4—431no—
1416C22×C4—431no—
1417C22×C4—431no—
1418C22×C4—431no—
1419C22×C4—431no—
1420C22×C4—431no—
1421C22×C4—431no—
1422C22×C4—431no—
1423C22×C4—861no—
1424C22×C4—861no—
1425C22×C4—861no—
1426C22×C4—861no—
1427C22×C4—861no—
1428C22×C4—861no—
1429C22×C4—861no—
1430C22×C4—861no—
1431C22×C4C23×D4311yescharacteristic
1432SD16—41no—
1433SD16—41no—
1434SD16—1721no—
1435SD16—1721no—
1436SD16—1721no—
1437SD16—1721no—
1438SD16—1721no—
1439SD16—1721no—
1440D8—41no—
1441D8—41no—
1442D8—1721no—
1443D8—1721no—
1444D8—1721no—
1445D8—1721no—
1446D8—1721no—
1447D8—1721no—
1448M16—1721no—
1449M16—1721no—
1450C2×C8—431no—
1451C2×C8—431no—
1452C2×C8—431no—
1453C2×C8—431no—
1454C2×C8—1721no—
1455C2×C8—1721no—
1456C2×C8C23×D4311yescharacteristic
1457C2×C8C23×D4311yescharacteristic
1458C2×C8C23×D4311yescharacteristic
1459C2×C8C23×D4311yescharacteristic
1460C4⋊C4—21no—
1461C4⋊C4—21no—
1462C4⋊C4—21no—
1463C4⋊C4—431no—
1464C4⋊C4—431no—
1465C4⋊C4—431no—
1466C4⋊C4—431no—
1467C4⋊C4—431no—
1468C4⋊C4—431no—
1469C4⋊C4—431no—
1470C4⋊C4—431no—
1471C4⋊C4—861no—
1472C4⋊C4—861no—
1473C4⋊C4—861no—
1474C4⋊C4—861no—
1475C4⋊C4—861no—
1476C4⋊C4—861no—
1477C4⋊C4—861no—
1478C4⋊C4—861no—
1479C4⋊C4—861no—
1480C4⋊C4—861no—
1481C4⋊C4—861no—
1482C4⋊C4—861no—
1483C4⋊C4—861no—
1484C4⋊C4—861no—
1485C4⋊C4—861no—
1486C4⋊C4—861no—
1487C4⋊C4—861no—
1488C4⋊C4D4×D4311yescharacteristic
1489C4⋊C4D4×D4311yescharacteristic
1490C4⋊C4C23×D4311yescharacteristic
1491C4⋊C4C23×D4311yescharacteristic
1492C4⋊C4C23×D4311yescharacteristic
1493C4⋊C4C23×D4311yescharacteristic
1494C22⋊C4—21no—
1495C22⋊C4—21no—
1496C22⋊C4—21no—
1497C22⋊C4—21no—
1498C22⋊C4—21no—
1499C22⋊C4—21no—
1500C22⋊C4—21no—
1501C22⋊C4—21no—
1502C22⋊C4—21no—
1503C22⋊C4—21no—
1504C22⋊C4—431no—
1505C22⋊C4—431no—
1506C22⋊C4—431no—
1507C22⋊C4—431no—
1508C22⋊C4—861no—
1509C22⋊C4—861no—
1510C22⋊C4—861no—
1511C22⋊C4—861no—
1512C22⋊C4—861no—
1513C22⋊C4—861no—
1514C22⋊C4—861no—
1515C22⋊C4—861no—
1516C22⋊C4—861no—
1517C22⋊C4—861no—
1518C22⋊C4—861no—
1519C22⋊C4—861no—
1520C22⋊C4—861no—
1521C22⋊C4—861no—
1522C22⋊C4—861no—
1523C22⋊C4—861no—
1524C22⋊C4—861no—
1525C22⋊C4—861no—
1526C22⋊C4—861no—
1527C22⋊C4—861no—
1528C22⋊C4—861no—
1529C22⋊C4—861no—
1530C22⋊C4—861no—
1531C22⋊C4—861no—
1532C22⋊C4—861no—
1533C22⋊C4—861no—
1534C22⋊C4—861no—
1535C22⋊C4—861no—
1536C22⋊C4—861no—
1537C22⋊C4—861no—
1538C22⋊C4D4×D4311yescharacteristic
1539C22⋊C4D4×D4311yescharacteristic
1540C42—21no—
1541C42—21no—
1542C42—431no—
1543C42—431no—
1544C42—431no—
1545C42—431no—
1546C42—431no—
1547C42—431no—
1548C42—431no—
1549C42—431no—
1550C42—861no—
1551C42—861no—
1552C42—861no—
1553C42—861no—
1554C42—861no—
1555C42—861no—
1556C42C23×D4311yescharacteristic
1557C42C23×D4311yescharacteristic
1558C23—21no—
1559C23—21no—
1560C23—21no—
1561C23—42no—
1562C23—81no—
1563C23—81no—
1564C23—431no—
1565C23—431no—
1566C23—861no—
1567C23—861no—
1568C23—861no—
1569C23—3441no—
1570C23—3441no—
1571C23—3441no—
1572C23—3441no—
1573C23—1722no—
1574C23—1722no—
1575C23C2×D4×D4311yescharacteristic
1576Q8—21no—
1577Q8—21no—
1578Q8—81no—
1579Q8—861no—
1580Q8—861no—
1581Q8—3441no—
1582Q8—1721no—
1583Q8—1722no—
1584Q8—1722no—
1585Q8—1722no—
1586D4—21no—
1587D4—21no—
1588D4—21no—
1589D4—21no—
1590D4—21no—
1591D4—21no—
1592D4—42no—
1593D4—81no—
1594D4—861no—
1595D4—861no—
1596D4—861no—
1597D4—861no—
1598D4—861no—
1599D4—861no—
1600D4—3441no—
1601D4—3441no—
1602D4—3441no—
1603D4—3441no—
1604D4—3441no—
1605D4—3441no—
1606D4—3441no—
1607D4—3441no—
1608D4—3441no—
1609D4—3441no—
1610D4—3441no—
1611D4—3441no—
1612D4—3441no—
1613D4—3441no—
1614D4—3441no—
1615D4—1721no—
1616D4—1722no—
1617D4—1721no—
1618D4—1721no—
1619D4—1722no—
1620D4—1722no—
1621D4—1722no—
1622D4—1722no—
1623D4—1722no—
1624C2×C4—21no—
1625C2×C4—21no—
1626C2×C4—21no—
1627C2×C4—21no—
1628C2×C4—21no—
1629C2×C4—21no—
1630C2×C4—21no—
1631C2×C4—81no—
1632C2×C4—81no—
1633C2×C4—81no—
1634C2×C4—81no—
1635C2×C4—81no—
1636C2×C4—431no—
1637C2×C4—431no—
1638C2×C4—431no—
1639C2×C4—431no—
1640C2×C4—431no—
1641C2×C4—431no—
1642C2×C4—861no—
1643C2×C4—861no—
1644C2×C4—861no—
1645C2×C4—861no—
1646C2×C4—861no—
1647C2×C4—861no—
1648C2×C4—861no—
1649C2×C4—861no—
1650C2×C4—861no—
1651C2×C4—3441no—
1652C2×C4—3441no—
1653C2×C4—3441no—
1654C2×C4—3441no—
1655C2×C4—3441no—
1656C2×C4—3441no—
1657C2×C4—3441no—
1658C2×C4—1721no—
1659C2×C4—1721no—
1660C2×C4—1721no—
1661C2×C4—1721no—
1662C2×C4—1722no—
1663C2×C4—1721no—
1664C2×C4—1721no—
1665C2×C4C2×D4×D4311yescharacteristic
1666C2×C4C2×D4×D4311yescharacteristic
1667C2×C4C2×D4×D4311yescharacteristic
1668C2×C4C2×D4×D4311yescharacteristic
1669C2×C4C2×D4×D4311yescharacteristic
1670C2×C4C24×D4311yescharacteristic
1671C8—21no—
1672C8—21no—
1673C8—21no—
1674C8—21no—
1675C8—861no—
1676C8—861no—
1677C8—861no—
1678C8—861no—
1679C22—21no—
1680C22—21no—
1681C22—21no—
1682C22—41no—
1683C22—41no—
1684C22—41no—
1685C22—41no—
1686C22—41no—
1687C22—41no—
1688C22—41no—
1689C22—41no—
1690C22—41no—
1691C22—162no—
1692C22—861no—
1693C22—861no—
1694C22—861no—
1695C22—861no—
1696C22—861no—
1697C22—861no—
1698C22—1721no—
1699C22—1721no—
1700C22—1721no—
1701C22—1721no—
1702C22—1721no—
1703C22—1721no—
1704C22—1721no—
1705C22—1721no—
1706C22—1721no—
1707C22—6882no—
1708C22—6882no—
1709C22C22×D4×D4311yescharacteristic
1710C4—21no—
1711C4—21no—
1712C4—21no—
1713C4—21no—
1714C4—21no—
1715C4—41no—
1716C4—41no—
1717C4—41no—
1718C4—41no—
1719C4—41no—
1720C4—861no—
1721C4—861no—
1722C4—861no—
1723C4—861no—
1724C4—861no—
1725C4—861no—
1726C4—1721no—
1727C4—1721no—
1728C4—1721no—
1729C4—1721no—
1730C4—1721no—
1731C4#1458373511yescharacteristic
1732C4#1458373511yescharacteristic
1733C2—41no—
1734C2—81no—
1735C2—81no—
1736C2—81no—
1737C2—3441no—
1738C2—3441no—
1739C2—3441no—
1740C2—1721no—
1741C2—1721no—
1742C2#1914792511yescharacteristic
1743C2#1914937011yescharacteristic
1744C2#1914937311yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3118C2
socleC22×C43C23×D4
hypercenter#3118D43
hypocenterC43#61017
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ #117 ◁ #3118

Complements

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

NH ≅ G/Ntype
1. #19148487C2semidirect
2. #19148466C2semidirect
3. #19146013C2semidirect
4. #19146011C2semidirect
5. #19146005C2semidirect
6. #19146003C2semidirect
7. #19145839C2semidirect
8. #19145833C2semidirect
9. #19145792C2semidirect
10. #19145791C2semidirect
11. #19145616C2semidirect
12. #19145611C2semidirect
13. #19145580C2semidirect
14. #19145580C2semidirect
15. #19145466C2semidirect
16. #19145464C2semidirect
17. #19145459C2semidirect
18. #19145458C2semidirect
19. #19145291C2semidirect
20. #19145289C2semidirect
21. #19145188C2semidirect
22. #19145186C2semidirect
23. #19144885C2semidirect
24. #19144883C2semidirect
25. #19144837C2semidirect
26. #19144835C2semidirect
27. #19144781C2semidirect
28. #19144779C2semidirect
29. #19144773C2semidirect
30. #19143243C2semidirect
31. C43×#3118C2semidirect
48. #14583523C22semidirect
50. #14583518C22semidirect
53. #14583500C22semidirect
54. #14583500C22semidirect
59. #14583454C22semidirect
60. #14583452C22semidirect
63. #14583446C22semidirect
64. #14583446C22semidirect
65. C2×#13063321C22semidirect
66. #14583436C22semidirect
68. #14583431C22semidirect
70. #124×D43C22semidirect
71. #14583375C22semidirect
72. #14583373C22semidirect
73. #14583371C22semidirect
75. #14583307C22semidirect
76. #14583307C22semidirect
77. #14583306C22semidirect
78. #14583306C22semidirect
83. #14583262C22semidirect
84. #14583262C22semidirect
85. #14583262C22semidirect
86. #14583262C22semidirect
87. #14583260C22semidirect
88. #14583260C22semidirect
89. #14583257C22semidirect
90. #14583257C22semidirect
91. #14583241C22semidirect
92. #14583240C22semidirect
93. #14583237C22semidirect
94. #14583226C22semidirect
95. #14583226C22semidirect
96. #14583225C22semidirect
97. #14583225C22semidirect
100. #14583222C22semidirect
101. #14583222C22semidirect
102. #14583221C22semidirect
103. #14583221C22semidirect
105. #14583209C22semidirect
106. #14583208C22semidirect
107. #14583205C22semidirect
108. #14583204C22semidirect
109. #14583202C22semidirect
110. #14583201C22semidirect
111. #14583198C22semidirect
112. #14583197C22semidirect
113. #14583190C22semidirect
114. #14583189C22semidirect
115. #14583186C22semidirect
116. #14583180C22semidirect
117. #14583179C22semidirect
118. #14583176C22semidirect
119. #14583153C22semidirect
120. #14583151C22semidirect
121. #14583151C22semidirect
122. #14583149C22semidirect
123. #14583148C22semidirect
124. #14583146C22semidirect
125. #14583144C22semidirect
126. #14583142C22semidirect
127. #14583136C22semidirect
128. #14583134C22semidirect
129. #14583134C22semidirect
130. #14583132C22semidirect
131. #14583131C22semidirect
132. #14583129C22semidirect
133. #14583127C22semidirect
134. #14583125C22semidirect
135. #14583115C22semidirect
136. #14583115C22semidirect
137. #14583114C22semidirect
138. #14583114C22semidirect
139. #14583111C22semidirect
140. #14583111C22semidirect
141. #14583098C22semidirect
142. #14583098C22semidirect
143. #14583097C22semidirect
144. #14583097C22semidirect
149. #14583052C22semidirect
150. #14583050C22semidirect
151. #14583049C22semidirect
152. #14583039C22semidirect
153. #14583039C22semidirect
154. #14583036C22semidirect
155. #14583036C22semidirect
157. #14583034C22semidirect
158. #14583034C22semidirect
161. #14583031C22semidirect
162. #14583031C22semidirect
163. #14583012C22semidirect
164. #14583009C22semidirect
165. #14583009C22semidirect
166. #14583001C22semidirect
167. #14582999C22semidirect
168. #14582997C22semidirect
169. C4×#10621873C22semidirect
170. C4×#10621884C22semidirect
171. C4×#10621883C22semidirect
172. C4×D344C22semidirect
173. C4×#10621882C22semidirect
174. C4×#10621882C22semidirect
175. #14582961C22semidirect
176. #14582960C22semidirect
177. #14582958C22semidirect
178. #14582955C22semidirect
179. #14582955C22semidirect
180. #14582953C22semidirect
181. #14582953C22semidirect
182. #14582924C22semidirect
183. #14582924C22semidirect
186. C4×#10621872C22semidirect
187. #97×D43C22semidirect
189. C43×#518C22semidirect
190. C43×#485C22semidirect
192. C43×#476C22semidirect
193. C43×#474C22semidirect
194. C43×#463C22semidirect
195. C43×#463C22semidirect
196. C43×#450C22semidirect
198. C43×#442C22semidirect
199. C43×#440C22semidirect
200. C4×SD16×C43C22semidirect
201. C4×D8×C43C22semidirect
202. C43×#433C22semidirect
890. #3118D43semidirect
947. #518C2×D43semidirect
968. #485C2×D43semidirect
992. #476C2×D43semidirect
996. #474C2×D43semidirect
1019. #463C2×D43semidirect
1020. #463C2×D43semidirect
1032. #450C2×D43semidirect
1048. #442C2×D43semidirect
1052. #440C2×D43semidirect
1056. C4×SD16C2×D43semidirect
1060. C4×D8C2×D43semidirect
1064. #433C2×D43semidirect
1075. C43#61017semidirect

Maximal subgroups

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

subgroupindex
#191484872
#191484662
#191460132
#191460112
#191460052
#191460032
#191458392
#191458332
#191457922
#191457912
#191456162
#191456112
#191455802
#191454662
#191454642
#191454592
#191454582
#191452912
#191452892
#191451882
#191451862
#191448852
#191448832
#191448372
#191448352
#191447812
#191447792
#191447732
#191432432
C43×#31182
#6101743