Finite Group Databasebeta

← #25975702

Subgroups — #25975702

Order 11008.

1866 conjugacy classes of subgroups.

The subgroup lattice has 1714 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19148329C211yesmaximal, characteristic, complemented
2#19148303C211yesmaximal, characteristic, complemented
3#19147219C211yesmaximal, characteristic, complemented
4#19147201C211yesmaximal, characteristic, complemented
5#19147200C211yesmaximal, characteristic, complemented
6#19147096C211yesmaximal, characteristic, complemented
7#19147095C211yesmaximal, characteristic, complemented
8#19147075C211yesmaximal, characteristic, complemented
9#19147074C211yesmaximal, characteristic, complemented
10#19147072C211yesmaximal, characteristic, complemented
11#19147066C211yesmaximal, characteristic, complemented
12#19147032C211yesmaximal, characteristic, complemented
13#19147030C211yesmaximal, characteristic, complemented
14#19146979C211yesmaximal, characteristic, complemented
15#19146977C211yesmaximal, characteristic, complemented
16#19146942C211yesmaximal, characteristic, complemented
17#19146937C211yesmaximal, characteristic, complemented
18#19145128C211yesmaximal, characteristic, complemented
19#19144576C211yesmaximal, characteristic, complemented
20#19144546C211yesmaximal, characteristic, complemented
21#19144513C211yesmaximal, characteristic, complemented
22#480×D43C211yesmaximal, characteristic, complemented
23#19144443C211yesmaximal, characteristic, complemented
24#19144421C211yesmaximal, characteristic, complemented
25#19144270C211yesmaximal, characteristic, complemented
26#19144209C211yesmaximal, characteristic, complemented
27#19143422C211yesmaximal, characteristic, complemented
28#19143324C211yesmaximal, characteristic, complemented
29#19143194C211yesmaximal, characteristic, complemented
30#428×D43C211yesmaximal, characteristic, complemented
31C43×#3357C211yesmaximal, characteristic, complemented
32C2×#13063352C2211yescharacteristic
33C2×#13063333C2211yescharacteristic
34C2×M16×D43C2211yescharacteristic
35#14583612C2211yescharacteristic
36#14583607C2211yescharacteristic, complemented
37#14583603—21no—
38#14583599C2211yescharacteristic
39#14583598—21no—
40#14583597C2211yescharacteristic, complemented
41#14583596C2211yescharacteristic
42#14583595C2211yescharacteristic
43#14583595C2211yescharacteristic, complemented
44#14583593C2211yescharacteristic
45#14583590C2211yescharacteristic, complemented
46#14583583C2211yescharacteristic, complemented
47#14583581—21no—
48#14583579—21no—
49#14583573—21no—
50#14583552C2211yescharacteristic
51#14583552C2211yescharacteristic, complemented
52#14583551—21no—
53#14583550C2211yescharacteristic, complemented
54#14583549C2211yescharacteristic
55#14583542—21no—
56#14583538—21no—
57#14583526C2211yescharacteristic
58#14583526C2211yescharacteristic
59#14583513—21no—
60#14583499—21no—
61#14583497—21no—
62#14583495—21no—
63#14583479C2211yescharacteristic
64#14583465C2211yescharacteristic
65#14583448—21no—
66#14583427—21no—
67#14583412—21no—
68#14583412C2211yescharacteristic
69#14583408—21no—
70#14583408C2211yescharacteristic
71#121×D43C2211yescharacteristic
72#14583381C2211yescharacteristic
73#14583380C2211yescharacteristic
74#14583379C2211yescharacteristic
75#14583371C2211yescharacteristic
76#117×D43C2211yescharacteristic
77C2×C4⋊C4×D43C2211yescharacteristic
78#14583307C2211yescharacteristic, complemented
79#14583307C2211yescharacteristic, complemented
80#14583305C2211yescharacteristic, complemented
81#14583305C2211yescharacteristic, complemented
82#14583303C2211yescharacteristic, complemented
83#14583301C2211yescharacteristic, complemented
84#14583300C2211yescharacteristic, complemented
85#14583239C2211yescharacteristic, complemented
86#14583237C2211yescharacteristic, complemented
87#14583233C2211yescharacteristic, complemented
88#14583233C2211yescharacteristic, complemented
89#14583232C2211yescharacteristic, complemented
90#14583228C2211yescharacteristic, complemented
91#14583226C2211yescharacteristic, complemented
92#14583225C2211yescharacteristic, complemented
93#14583224C2211yescharacteristic, complemented
94#14583224C2211yescharacteristic, complemented
95#14583223C2211yescharacteristic, complemented
96#14583223C2211yescharacteristic, complemented
97#14583221C2211yescharacteristic, complemented
98#14583220C2211yescharacteristic, complemented
99#14583219C2211yescharacteristic, complemented
100#14583217C2211yescharacteristic, complemented
101#14583216C2211yescharacteristic, complemented
102#14583214C2211yescharacteristic
103#14583214C2211yescharacteristic
104#14583214C2211yescharacteristic, complemented
105#14583214C2211yescharacteristic, complemented
106#14583214C2211yescharacteristic, complemented
107#14583213C2211yescharacteristic
108#14583213C2211yescharacteristic, complemented
109#14583212C2211yescharacteristic
110#14583211C2211yescharacteristic
111#14583211C2211yescharacteristic
112#14583210C2211yescharacteristic
113#14583206C2211yescharacteristic, complemented
114#14583204C2211yescharacteristic, complemented
115#14583202C2211yescharacteristic, complemented
116#14583201C2211yescharacteristic, complemented
117#14583200C2211yescharacteristic, complemented
118#14583200C2211yescharacteristic, complemented
119#14583199C2211yescharacteristic, complemented
120#14583198C2211yescharacteristic, complemented
121#14583192C2211yescharacteristic, complemented
122#14583188C2211yescharacteristic, complemented
123#14583178C2211yescharacteristic, complemented
124#14583177C2211yescharacteristic, complemented
125#14583176C2211yescharacteristic, complemented
126#14583176C2211yescharacteristic, complemented
127#14583152C2211yescharacteristic
128#14583152C2211yescharacteristic, complemented
129#14583151C2211yescharacteristic, complemented
130#14583150C2211yescharacteristic
131#14583148C2211yescharacteristic, complemented
132#14583147C2211yescharacteristic
133#14583136C2211yescharacteristic
134#14583136C2211yescharacteristic, complemented
135#14583134C2211yescharacteristic
136#14583133C2211yescharacteristic, complemented
137#14583131C2211yescharacteristic
138#14583130C2211yescharacteristic, complemented
139#14583125C2211yescharacteristic
140#14583125C2211yescharacteristic, complemented
141#14583010C2211yescharacteristic, complemented
142#14583009C2211yescharacteristic, complemented
143#14583000C2211yescharacteristic, complemented
144#14582997C2211yescharacteristic, complemented
145#14582984C2211yescharacteristic, complemented
146C4×D344C2211yescharacteristic, complemented
147#14582979C2211yescharacteristic, complemented
148#14582974C2211yescharacteristic, complemented
149#14582971C2211yescharacteristic, complemented
150#14582969C2211yescharacteristic, complemented
151#14582968C2211yescharacteristic, complemented
152#14582968C2211yescharacteristic, complemented
153C8×D172C2211yescharacteristic, complemented
154(C22⋊D43)⋊C8C2211yescharacteristic, complemented
155#14582942C2211yescharacteristic, complemented
156#14582941C2211yescharacteristic, complemented
157#14582941C2211yescharacteristic, complemented
158#14582940C2211yescharacteristic
159#14582940C2211yescharacteristic
160#14582940C2211yescharacteristic
161#14582940C2211yescharacteristic, complemented
162#14582939C2211yescharacteristic, complemented
163#14582938C2211yescharacteristic
164#14582938C2211yescharacteristic
165#14582938C2211yescharacteristic, complemented
166#14582936C2211yescharacteristic
167#14582935C2211yescharacteristic, complemented
168#14582934C2211yescharacteristic
169#14582934C2211yescharacteristic, complemented
170C2×#13063258C2211yescharacteristic, complemented
171#107×D43C2211yescharacteristic
172#107×D43C2211yescharacteristic
173#107×D43C2211yescharacteristic, complemented
174#107×D43C2211yescharacteristic, complemented
175#107×D43C2211yescharacteristic, complemented
176#106×D43C2211yescharacteristic, complemented
177#106×D43C2211yescharacteristic, complemented
178#14582924C2211yescharacteristic
179#14582902C2211yescharacteristic
180#14582899C2211yescharacteristic
181#14582894C2211yescharacteristic
182#14582894C2211yescharacteristic
183#102×D43C2211yescharacteristic
184#102×D43C2211yescharacteristic
185#14582864C2211yescharacteristic
186C22⋊C8×D43C2211yescharacteristic
187#14582853C2211yescharacteristic
188C43×#555C2211yescharacteristic
189C43×#554C2211yescharacteristic, complemented
190C43×#500C2211yescharacteristic, complemented
191C43×#485C2211yescharacteristic, complemented
192C43×#485C2211yescharacteristic, complemented
193C43×#480C2211yescharacteristic
194C43×#480C2211yescharacteristic, complemented
195C43×#477C2211yescharacteristic, complemented
196C43×#476C2211yescharacteristic, complemented
197C43×#468C2211yescharacteristic
198C43×#468C2211yescharacteristic, complemented
199C4×SD16×C43C2211yescharacteristic, complemented
200C43×#436C2211yescharacteristic, complemented
201C43×#428C2211yescharacteristic, complemented
202C43×#428C2211yescharacteristic, complemented
203C2×#10621902—21no—
204C2×#10621902—21no—
205C2×#10621902C2311yescharacteristic
206C2×#10621898—21no—
207C2×#10621898C2311yescharacteristic
208C2×#10621900—21no—
209C2×D4×D43—21no—
210C2×D4×D43C2311yescharacteristic
211C22×C4×D43—21no—
212C22×C4×D43C2311yescharacteristic
213#13063352—24no—
214C2×#10621884C2311yescharacteristic
215C2×D344C2311yescharacteristic
216C2×#10621882C2311yescharacteristic
217#13063333—24no—
218C2×#10621877C2311yescharacteristic
219C2×#10621872C2311yescharacteristic
220C2×#10621872C2311yescharacteristic
221C2×#10621872C2311yescharacteristic
222M16×D43—24no—
223C22×C43⋊C8C2311yescharacteristic
224C2×C8×D43C2311yescharacteristic
225C2×C8×D43C2311yescharacteristic
226C2×C8×D43C2311yescharacteristic
227C2×C8×D43C2311yescharacteristic
228C2×C8×D43C2311yescharacteristic
229#13063324C2311yescharacteristic
230#13063324C2311yescharacteristic
231#13063323—21no—
232#13063323—21no—
233#13063321—21no—
234#13063320—21no—
235#13063320—21no—
236#13063320—21no—
237#13063319—21no—
238#13063319—21no—
239#13063318—21no—
240#13063318—21no—
241#13063318—21no—
242#13063317C2311yescharacteristic
243#13063317C2311yescharacteristic
244#13063316C2311yescharacteristic
245#13063316C2311yescharacteristic
246#13063315—21no—
247#13063315—21no—
248#13063315—21no—
249#13063315—21no—
250#13063315—21no—
251#13063313—21no—
252#13063311—21no—
253#13063311—21no—
254#13063310—21no—
255#13063310—21no—
256#13063310—21no—
257#13063310—21no—
258#13063310—21no—
259#13063310—21no—
260#13063310—21no—
261#13063310—21no—
262#13063310D411yescharacteristic
263#13063308—21no—
264#13063308—21no—
265#13063307—21no—
266#13063307—21no—
267#13063307—21no—
268#13063307—21no—
269#13063307—21no—
270#13063307D411yescharacteristic
271#13063306—21no—
272#13063306—21no—
273#13063305—21no—
274#13063303—21no—
275#13063303—21no—
276#13063303—21no—
277#13063303—21no—
278#13063303D411yescharacteristic
279#13063302—21no—
280#13063302—21no—
281#13063302D411yescharacteristic
282#13063301—21no—
283#13063301—21no—
284#13063301—21no—
285#13063301—21no—
286#13063301C2311yescharacteristic
287#13063301C2311yescharacteristic
288#13063300—21no—
289#13063300C2311yescharacteristic
290#13063300C2311yescharacteristic
291#13063300C2311yescharacteristic
292#13063300C2311yescharacteristic
293#13063299—21no—
294#13063299C2311yescharacteristic
295#13063299C2311yescharacteristic
296#13063299C2311yescharacteristic
297#13063299C2311yescharacteristic
298#13063298—21no—
299#13063298—21no—
300#13063298—21no—
301#13063298—21no—
302#13063298—21no—
303#13063298—21no—
304#13063298D411yescharacteristic
305#13063297—21no—
306#13063297—21no—
307#13063297—21no—
308#13063297D411yescharacteristic
309#13063296—21no—
310#13063296C2311yescharacteristic
311#13063296C2311yescharacteristic
312#13063295—21no—
313#13063295—21no—
314#13063295D411yescharacteristic
315#13063293—21no—
316#13063293D411yescharacteristic
317Q8×Dic43C2311yescharacteristic
318C4×Dic86—21no—
319#13063290—21no—
320C4×D172—21no—
321C4×D172—21no—
322C4×D172—21no—
323C4×D172C2311yescharacteristic
324C4×D172C2311yescharacteristic
325C4×D172C2311yescharacteristic
326D4×Dic43C2311yescharacteristic
327#13063287—21no—
328#13063287—21no—
329#13063287—21no—
330#13063287C2311yescharacteristic
331#13063287C2311yescharacteristic
332C4×C22⋊D43—21no—
333C4×C22⋊D43—21no—
334C4×C22⋊D43—21no—
335C4×C22⋊D43—21no—
336C4×C22⋊D43—21no—
337C4×C22⋊D43C2311yescharacteristic
338C4×C22⋊D43C2311yescharacteristic
339(C22⋊D43)⋊C4—21no—
340(C22⋊D43)⋊C4—21no—
341(C22⋊D43)⋊C4—21no—
342(C22⋊D43)⋊C4—21no—
343(C22⋊D43)⋊C4—21no—
344(C22⋊D43)⋊C4—21no—
345(C22⋊D43)⋊C4—21no—
346(C22⋊D43)⋊C4—21no—
347#13063284C2311yescharacteristic
348#13063284C2311yescharacteristic
349#13063283—21no—
350#13063283C2311yescharacteristic
351#13063283C2311yescharacteristic
352#13063283C2311yescharacteristic
353#13063283C2311yescharacteristic
354#13063283C2311yescharacteristic
355#13063282—21no—
356#13063282—21no—
357#13063282—21no—
358#13063282—21no—
359#13063282C2311yescharacteristic
360#13063281—21no—
361C2×C4⋊Dic43C2311yescharacteristic
362C2×C4⋊Dic43C2311yescharacteristic
363C2×Dic43⋊C4—21no—
364C4⋊C4×D43—21no—
365C4⋊C4×D43—21no—
366C4⋊C4×D43—21no—
367C4⋊C4×D43C2311yescharacteristic
368C4⋊C4×D43C2311yescharacteristic
369C4⋊C4×D43C2311yescharacteristic
370C4⋊C4×D43C2311yescharacteristic
371C4⋊C4×D43C2311yescharacteristic
372C4⋊C4×D43C2311yescharacteristic
373C4⋊C4×D43C2311yescharacteristic
374C4⋊C4×D43C2311yescharacteristic
375C4⋊C4×D43C2311yescharacteristic
376C2×(C2×D43)⋊C4—21no—
377C22⋊C4×D43—21no—
378C22⋊C4×D43—21no—
379C22⋊C4×D43—21no—
380C42×D43—21no—
381#13063259C2311yescharacteristic
382#13063259C2311yescharacteristic
383#13063259C2311yescharacteristic
384#13063259C2311yescharacteristic
385#13063259C2311yescharacteristic
386#13063258C2311yescharacteristic
387#13063258C2311yescharacteristic
388#13063258C2311yescharacteristic
389#13063258C2311yescharacteristic
390#13063258C2311yescharacteristic
391#13063258C2311yescharacteristic
392#13063258C2311yescharacteristic
393#13063258C2311yescharacteristic
394#13063258C2311yescharacteristic
395#13063258C2311yescharacteristic
396#13063258C2311yescharacteristic
397#13063257C2311yescharacteristic
398#13063257C2311yescharacteristic
399#13063257C2311yescharacteristic
400#13063257C2311yescharacteristic
401#13063256C2311yescharacteristic
402#13063256C2311yescharacteristic
403#13063256C2311yescharacteristic
404#13063256C2311yescharacteristic
405#13063256C2311yescharacteristic
406#13063256C2311yescharacteristic
407#13063256C2311yescharacteristic
408C4⋊(C43⋊C8)C2311yescharacteristic
409Dic43⋊C8C2311yescharacteristic
410Dic43⋊C8C2311yescharacteristic
411#13063249C2311yescharacteristic
412#13063249C2311yescharacteristic
413#13063249C2311yescharacteristic
414#13063247C2311yescharacteristic
415#13063247C2311yescharacteristic
416#13063247C2311yescharacteristic
417#13063247C2311yescharacteristic
418#13063247C2311yescharacteristic
419#13063247C2311yescharacteristic
420#13063246C2311yescharacteristic
421#13063246C2311yescharacteristic
422#13063246C2311yescharacteristic
423#13063245C2311yescharacteristic
424#13063245C2311yescharacteristic
425#13063245C2311yescharacteristic
426#13063245C2311yescharacteristic
427#13063245C2311yescharacteristic
428#13063245C2311yescharacteristic
429C22⋊(C43⋊C8)C2311yescharacteristic
430C22⋊(C43⋊C8)C2311yescharacteristic
431(C2×D43)⋊C8C2311yescharacteristic
432(C2×D43)⋊C8C2311yescharacteristic
433(C2×D43)⋊C8C2311yescharacteristic
434(C2×D43)⋊C8C2311yescharacteristic
435#13063236C2311yescharacteristic
436#13063235C2311yescharacteristic
437C8×Dic43C2311yescharacteristic
438C2×SD16×C43C2311yescharacteristic
439C2×M16×C43C2311yescharacteristic
440C2×M16×C43C2311yescharacteristic
441C4⋊Q8×C43C2311yescharacteristic
442C4⋊Q8×C43C2311yescharacteristic
443#125×C43—21no—
444#124×C43—21no—
445#124×C43—21no—
446C22⋊Q8×C43—21no—
447C22⋊Q8×C43—21no—
448C22⋊Q8×C43C2311yescharacteristic
449C22⋊Q8×C43C2311yescharacteristic
450#121×C43—21no—
451#121×C43C2311yescharacteristic
452#121×C43C2311yescharacteristic
453C4×Q8×C43C2311yescharacteristic
454C4×D4×C43—21no—
455C4×D4×C43C2311yescharacteristic
456C4×D4×C43C2311yescharacteristic
457#117×C43—21no—
458#117×C43C2311yescharacteristic
459#117×C43C2311yescharacteristic
460C2×C4⋊C4×C43C2311yescharacteristic
461C2×C4⋊C4×C43C2311yescharacteristic
462#107×C43C2311yescharacteristic
463#107×C43C2311yescharacteristic
464#107×C43C2311yescharacteristic
465#107×C43C2311yescharacteristic
466#107×C43C2311yescharacteristic
467#107×C43C2311yescharacteristic
468#106×C43C2311yescharacteristic
469#106×C43C2311yescharacteristic
470#106×C43C2311yescharacteristic
471C4⋊C8×C43C2311yescharacteristic
472#103×C43C2311yescharacteristic
473#103×C43C2311yescharacteristic
474#103×C43C2311yescharacteristic
475#102×C43C2311yescharacteristic
476#102×C43C2311yescharacteristic
477#102×C43C2311yescharacteristic
478C22⋊C8×C43C2311yescharacteristic
479C22⋊C8×C43C2311yescharacteristic
480C4×C8×C43C2311yescharacteristic
481C23×D43—21no—
482C23×D43C2×D411yescharacteristic
483C2×Q8×C43—21no—
484C2×Q8×C43—21no—
485C2×Q8×C43C2411yescharacteristic
486C2×D4×C43—21no—
487C2×D4×C43—21no—
488C2×D4×C43C2×D411yescharacteristic
489C2×D4×C43C2411yescharacteristic
490C22×C4×C43—21no—
491C22×C4×C43—21no—
492C22×C4×C43—21no—
493C22×C4×C43C2411yescharacteristic
494C22×C4×C43C2411yescharacteristic
495C2×C22⋊D43—21no—
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⋊D43C2×D411yescharacteristic
503C2×C22⋊D43C2×D411yescharacteristic
504C2×C22⋊D43C2×D411yescharacteristic
505C2×C22⋊D43C2×D411yescharacteristic
506C22×Dic43—21no—
507C22×Dic43—21no—
508C22×Dic43—21no—
509C22×Dic43C2×D411yescharacteristic
510#10621902—22no—
511#10621902—22no—
512#10621902—82no—
513#10621902—82no—
514#10621900—82no—
515D4×D43—22no—
516D4×D43—22no—
517D4×D43—82no—
518#10621898—22no—
519#10621898—22no—
520#10621898—82no—
521C2×D172—21no—
522C2×D172—21no—
523C2×D172—21no—
524C2×D172—21no—
525C2×D172—21no—
526C2×D172C2×D411yescharacteristic
527C2×D172C2×D411yescharacteristic
528C2×D172C2411yescharacteristic
529C2×D172C2411yescharacteristic
530C2×C4×D43—22no—
531C2×C4×D43—22no—
532C2×C4×D43—21no—
533C2×C4×D43—21no—
534C2×C4×D43—21no—
535C2×C4×D43—21no—
536C2×C4×D43—21no—
537C2×C4×D43—21no—
538C2×C4×D43—21no—
539C2×C4×D43—21no—
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—82no—
547C2×C4×D43C2×D411yescharacteristic
548C2×C4×D43C2×D411yescharacteristic
549C2×C4×D43C2411yescharacteristic
550C2×C4×D43C2411yescharacteristic
551C2×C4×D43C2411yescharacteristic
552C2×Dic86—21no—
553C2×Dic86—21no—
554C2×Dic86C2×D411yescharacteristic
555SD16×C43—22no—
556M16×C43—22no—
557M16×C43—22no—
558C2×C8×C43C2411yescharacteristic
559C2×C8×C43C2411yescharacteristic
560C2×C8×C43C2411yescharacteristic
561C2×C8×C43C2411yescharacteristic
562C4⋊C4×C43—21no—
563C4⋊C4×C43—21no—
564C4⋊C4×C43—21no—
565C4⋊C4×C43—21no—
566C4⋊C4×C43—21no—
567C4⋊C4×C43—21no—
568C4⋊C4×C43—21no—
569C4⋊C4×C43C2×D411yescharacteristic
570C4⋊C4×C43C2411yescharacteristic
571C4⋊C4×C43C2411yescharacteristic
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×C43C2×D411yescharacteristic
584C22⋊C4×C43C2×D411yescharacteristic
585C42×C43—21no—
586C42×C43—21no—
587C42×C43—21no—
588C42×C43C2411yescharacteristic
589C22⋊Dic43—21no—
590C22⋊Dic43—21no—
591C22⋊Dic43—21no—
592C22⋊Dic43—21no—
593C22⋊Dic43—21no—
594C22⋊Dic43C2×D411yescharacteristic
595C22⋊Dic43C2×D411yescharacteristic
596#10621884—22no—
597#10621882—22no—
598(C2×D43)⋊C4—21no—
599(C2×D43)⋊C4—21no—
600(C2×D43)⋊C4—21no—
601(C2×D43)⋊C4—21no—
602(C2×D43)⋊C4—21no—
603(C2×D43)⋊C4—21no—
604(C2×D43)⋊C4—21no—
605(C2×D43)⋊C4—21no—
606(C2×D43)⋊C4—21no—
607(C2×D43)⋊C4—21no—
608(C2×D43)⋊C4—21no—
609(C2×D43)⋊C4—21no—
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)⋊C4C2×D411yescharacteristic
618(C2×D43)⋊C4C2×D411yescharacteristic
619(C2×D43)⋊C4C2×D411yescharacteristic
620(C2×D43)⋊C4C2×D411yescharacteristic
621(C2×D43)⋊C4C2×D411yescharacteristic
622(C2×D43)⋊C4C2×D411yescharacteristic
623C4⋊Dic43—21no—
624C4⋊Dic43—21no—
625C4⋊Dic43—21no—
626C4⋊Dic43—21no—
627C4⋊Dic43—21no—
628C4⋊Dic43C2×D411yescharacteristic
629C4⋊Dic43C2411yescharacteristic
630C4⋊Dic43C2411yescharacteristic
631C4⋊Dic43C2411yescharacteristic
632C4⋊Dic43C2411yescharacteristic
633C4⋊Dic43C2411yescharacteristic
634C4⋊Dic43C2411yescharacteristic
635Dic43⋊C4—21no—
636Dic43⋊C4—21no—
637Dic43⋊C4—21no—
638Dic43⋊C4—21no—
639Dic43⋊C4—21no—
640Dic43⋊C4—21no—
641Dic43⋊C4—21no—
642Dic43⋊C4—21no—
643Dic43⋊C4—21no—
644Dic43⋊C4—21no—
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⋊C4C2×D411yescharacteristic
655Dic43⋊C4C2×D411yescharacteristic
656Dic43⋊C4C2×D411yescharacteristic
657Dic43⋊C4C2×D411yescharacteristic
658C4×Dic43—21no—
659C4×Dic43—21no—
660C4×Dic43—21no—
661C4×Dic43—21no—
662C4×Dic43—21no—
663C4×Dic43—21no—
664C4×Dic43—21no—
665C4×Dic43—21no—
666C4×Dic43C2411yescharacteristic
667#10621877—22no—
668C2×C43⋊C8—22no—
669C2×C43⋊C8C2411yescharacteristic
670C2×C43⋊C8C2411yescharacteristic
671C2×C43⋊C8C2411yescharacteristic
672C2×C43⋊C8C2411yescharacteristic
673D344—22no—
674#10621872—22no—
675#10621872—22no—
676#10621872#4114yescomplemented
677C8×D43—22no—
678C8×D43—22no—
679C8×D43—22no—
680C8×D43—22no—
681C8×D43—22no—
682C23×C43—21no—
683C23×C43C22×D411yescharacteristic
684C23×C43C22×D411yescharacteristic
685C22×D43—22no—
686C22×D43—22no—
687C22×D43—21no—
688C22×D43—21no—
689C22×D43—41no—
690C22×D43—42no—
691C22×D43—81no—
692C22×D43—81no—
693C22×D43C22×D411yescharacteristic
694C22×D43C22×D411yescharacteristic
695C22×D43C22×D411yescharacteristic
696Q8×C43—21no—
697Q8×C43—21no—
698Q8×C43—81no—
699Q8×C43—81no—
700D4×C43—21no—
701D4×C43—21no—
702D4×C43—41no—
703D4×C43—81no—
704D4×C43—81no—
705C2×C4×C43—21no—
706C2×C4×C43—21no—
707C2×C4×C43—21no—
708C2×C4×C43—21no—
709C2×C4×C43—21no—
710C2×C4×C43—21no—
711C2×C4×C43—21no—
712C2×C4×C43—21no—
713C2×C4×C43—21no—
714C2×C4×C43—21no—
715C2×C4×C43—21no—
716C2×C4×C43—81no—
717C2×C4×C43—81no—
718C2×C4×C43—81no—
719C2×C4×C43C22×D411yescharacteristic
720C2×C4×C43C22×D411yescharacteristic
721C2×C4×C43C22×D411yescharacteristic
722C2×C4×C43C22×D411yescharacteristic
723C2×C4×C43C2511yescharacteristic
724C22⋊D43—22no—
725C22⋊D43—22no—
726C22⋊D43—22no—
727C22⋊D43—41no—
728C22⋊D43—42no—
729C22⋊D43—42no—
730C22⋊D43—42no—
731C22⋊D43—81no—
732C22⋊D43—81no—
733C22⋊D43—81no—
734C22⋊D43—81no—
735C2×Dic43—22no—
736C2×Dic43—21no—
737C2×Dic43—21no—
738C2×Dic43—21no—
739C2×Dic43—21no—
740C2×Dic43—21no—
741C2×Dic43—21no—
742C2×Dic43—81no—
743C2×Dic43—81no—
744C2×Dic43—81no—
745C2×Dic43C22×D411yescharacteristic
746C2×Dic43C22×D411yescharacteristic
747C2×Dic43C22×D411yescharacteristic
748C2×Dic43C22×D411yescharacteristic
749C2×Dic43C22×D411yescharacteristic
750D172—22no—
751D172—22no—
752D172—21no—
753D172—21no—
754D172—21no—
755D172—21no—
756D172—42no—
757D172—42no—
758D172—42no—
759D172—81no—
760D172—81no—
761C4×D43—22no—
762C4×D43—21no—
763C4×D43—21no—
764C4×D43—21no—
765C4×D43—21no—
766C4×D43—22no—
767C4×D43—42no—
768C4×D43—42no—
769C4×D43—42no—
770C4×D43—42no—
771C4×D43—81no—
772C4×D43—81no—
773C4×D43—81no—
774C4×D43—81no—
775C4×D43—81no—
776C4×D43—81no—
777C4×D43—81no—
778C4×D43—81no—
779C4×D43—81no—
780C4×D43—81no—
781C4×D43C2×#4112yes—
782C4×D432−1+412yes—
783Dic86—22no—
784Dic86—81no—
785Dic86—81no—
786C8×C43—21no—
787C8×C43—21no—
788C8×C43—21no—
789C8×C43C2×#4112yes—
790C43⋊C8—21no—
791C43⋊C8—21no—
792C43⋊C8—21no—
793C43⋊C8C2×#4112yes—
794#61270—431nomaximal, Sylow
795C22×C43—21no—
796C22×C43—21no—
797C22×C43—21no—
798C22×C43—21no—
799C22×C43—21no—
800C22×C43—21no—
801C22×C43—41no—
802C22×C43—41no—
803C22×C43—41no—
804C22×C43C23×D411yescharacteristic
805C2×D43—21no—
806C2×D43—21no—
807C2×D43—21no—
808C2×D43—21no—
809C2×D43—21no—
810C2×D43—21no—
811C2×D43—21no—
812C2×D43—44no—
813C2×D43—41no—
814C2×D43—41no—
815C2×D43—41no—
816C2×D43—41no—
817C2×D43—41no—
818C2×D43—41no—
819C2×D43—162no—
820C2×D43#54712yes—
821C2×D43#57612yes—
822C4×C43—21no—
823C4×C43—21no—
824C4×C43—21no—
825C4×C43—21no—
826C4×C43—41no—
827C4×C43—41no—
828C4×C43—41no—
829C4×C43—41no—
830C4×C43—41no—
831C4×C43—41no—
832C4×C43—41no—
833C4×C43C22×#4111yescharacteristic
834C4×C43C2×2−1+411yescharacteristic
835Dic43—21no—
836Dic43—21no—
837Dic43—21no—
838Dic43—21no—
839Dic43—41no—
840Dic43—41no—
841Dic43—41no—
842Dic43—41no—
843Dic43—41no—
844Dic43—41no—
845Dic43#54712yes—
846#3494—431no—
847#3492—431no—
848#3357—431no—
849#3357D4311yescharacteristic, complemented
850#3355—431no—
851#3355—431no—
852#3347—431no—
853#3347—431no—
854#3346—431no—
855#3346—431no—
856#3345—431no—
857#3345—431no—
858#3343—431no—
859#3343—431no—
860#3337—431no—
861#3337—431no—
862#3334—431no—
863#3334—431no—
864#3164—431no—
865#3098—431no—
866#3096—431no—
867#3091—431no—
868C2×#480—431no—
869#3083—431no—
870#3081—431no—
871#3062—431no—
872#3055—431no—
873#2946—431no—
874#2933—431no—
875#2913—431no—
876C2×#428—431no—
877C2×C43—41no—
878C2×C43—41no—
879C2×C43—81no—
880C2×C43C2×#54711yescharacteristic
881C2×C43C2×#57611yescharacteristic
882C2×C43#358611yescharacteristic
883D43—22no—
884D43—22no—
885D43—41no—
886D43—81no—
887D43—81no—
888C2×AGL(1,ℤ/8)—431no—
889C2×#131—431no—
890C22×M16—431no—
891#555—431no—
892#555C2×D4311yescharacteristic
893#554—431no—
894#554—861no—
895#554C2×D4311yescharacteristic, complemented
896#553—431no—
897#553—431no—
898#553—431no—
899#553—431no—
900#553—431no—
901#553—431no—
902#553—861no—
903#552—431no—
904#552—431no—
905#552—861no—
906#551—861no—
907#551—861no—
908#547—431no—
909#547—431no—
910#547—431no—
911#547—431no—
912#547—861no—
913#546—861no—
914#546—861no—
915#544—431no—
916#544—431no—
917#542—861no—
918#540—861no—
919#539—861no—
920#539—861no—
921#537—431no—
922#535—431no—
923#532—861no—
924#529—861no—
925#525—431no—
926#525—431no—
927#525—861no—
928#525—861no—
929C2×#121—431no—
930#520—431no—
931#520—431no—
932#520—431no—
933#518—431no—
934C2×#117—431no—
935C22×C4⋊C4—431no—
936#501—431no—
937#501—431no—
938#501—431no—
939#501—431no—
940#500—431no—
941#500C2×D4311yescharacteristic, complemented
942#499—431no—
943#499—431no—
944#485—431no—
945#485—431no—
946#485C2×D4311yescharacteristic, complemented
947#485C2×D4311yescharacteristic, complemented
948#484—431no—
949#484—431no—
950#484—431no—
951#483—431no—
952#482—431no—
953#482—431no—
954#482—431no—
955#482—431no—
956#482—431no—
957#482—431no—
958#482—431no—
959#482—431no—
960#481—431no—
961#481—431no—
962#481—431no—
963#480—431no—
964#480—431no—
965#480—431no—
966#480—431no—
967#480—431no—
968#480—431no—
969#480—431no—
970#480—431no—
971#480—431no—
972#480—431no—
973#480—431no—
974#480C2×D4311yescharacteristic
975#480C2×D4311yescharacteristic, complemented
976#479—431no—
977#479—431no—
978#478—431no—
979#478—431no—
980#478—431no—
981#478—431no—
982#478—431no—
983#478—431no—
984#477—431no—
985#477C2×D4311yescharacteristic, complemented
986#476—431no—
987#476C2×D4311yescharacteristic, complemented
988#474—431no—
989#474—431no—
990#474—431no—
991#474—431no—
992#469—431no—
993#469—431no—
994#469—431no—
995#469—431no—
996#468—431no—
997#468—431no—
998#468C2×D4311yescharacteristic
999#468C2×D4311yescharacteristic, complemented
1000#466—431no—
1001#466—431no—
1002#466—431no—
1003#466—431no—
1004#465—431no—
1005#465—431no—
1006#465—431no—
1007#465—431no—
1008#442—431no—
1009#442—431no—
1010#440—431no—
1011#440—431no—
1012C4×SD16—431no—
1013C4×SD16C2×D4311yescharacteristic, complemented
1014C4×D8—431no—
1015C4×D8—431no—
1016#436—431no—
1017#436C2×D4311yescharacteristic, complemented
1018#435—431no—
1019#435—431no—
1020#435—431no—
1021#435—431no—
1022C8×D4—431no—
1023C8×D4—431no—
1024#428—431no—
1025#428—431no—
1026#428—431no—
1027#428—431no—
1028#428—431no—
1029#428—431no—
1030#428—431no—
1031#428—431no—
1032#428—431no—
1033#428—431no—
1034#428—431no—
1035#428C2×D4311yescharacteristic, complemented
1036#428C2×D4311yescharacteristic, complemented
1037#427—431no—
1038#427—431no—
1039#427—431no—
1040#427—431no—
1041C2×#107—431no—
1042C2×#107—431no—
1043C2×#107—431no—
1044C2×#107—431no—
1045C2×#107—431no—
1046C2×#107—431no—
1047C2×#106—431no—
1048C2×#106—431no—
1049#424—431no—
1050#418—431no—
1051#417—431no—
1052#416—431no—
1053#416—431no—
1054C2×#102—431no—
1055C2×#102—431no—
1056#408—431no—
1057C2×C22⋊C8—431no—
1058#405—431no—
1059C43#6127011yescharacteristic, complemented, Sylow
1060C2×#41—431no—
1061C2×#41—431no—
1062C2×#41—861no—
1063C2×#41—861no—
1064C2×#41—861no—
1065C2×#41—861no—
1066C22×D4—431no—
1067C22×D4—861no—
1068C23×C4—431no—
1069C23×C4—861no—
1070AGL(1,ℤ/8)—864no—
1071C2×SD16—431no—
1072C2×SD16C22×D4311yescharacteristic
1073C2×D8—431no—
1074C2×D8—431no—
1075#131—864no—
1076C2×M16—431no—
1077C2×M16—431no—
1078C2×M16—431no—
1079C2×M16—431no—
1080C2×M16—864no—
1081C2×M16C22×D4311yescharacteristic
1082C2×M16C22×D4311yescharacteristic
1083C22×C8—431no—
1084C22×C8—431no—
1085C22×C8—431no—
1086C22×C8—431no—
1087C22×C8—431no—
1088C22×C8—431no—
1089C4⋊Q8—431no—
1090C4⋊Q8—431no—
1091C4⋊Q8—861no—
1092C4⋊Q8—861no—
1093C4⋊Q8C22×D4311yescharacteristic
1094C4⋊Q8C22×D4311yescharacteristic
1095#127—861no—
1096#126—861no—
1097#126—861no—
1098#126—861no—
1099#126—861no—
1100#126—861no—
1101#126—861no—
1102#126—861no—
1103#126—861no—
1104#125—21no—
1105#125—431no—
1106#125—431no—
1107#125—431no—
1108#125—431no—
1109#125—861no—
1110#125—861no—
1111#125—861no—
1112#125—861no—
1113#125—861no—
1114#124—21no—
1115#124—21no—
1116#124—861no—
1117#124—861no—
1118#124—861no—
1119#123—431no—
1120#123—431no—
1121#123—861no—
1122#123—861no—
1123#123—861no—
1124#123—861no—
1125#123—861no—
1126#123—861no—
1127#123—861no—
1128#123—861no—
1129#123—861no—
1130#123—861no—
1131#123—861no—
1132#123—861no—
1133#123—861no—
1134#123—861no—
1135#123—861no—
1136#123—861no—
1137#123—861no—
1138C22⋊Q8—21no—
1139C22⋊Q8—21no—
1140C22⋊Q8—431no—
1141C22⋊Q8—431no—
1142C22⋊Q8—431no—
1143C22⋊Q8—431no—
1144C22⋊Q8—861no—
1145C22⋊Q8—861no—
1146C22⋊Q8—861no—
1147C22⋊Q8—861no—
1148C22⋊Q8—861no—
1149C22⋊Q8—861no—
1150C22⋊Q8—861no—
1151C22⋊Q8—861no—
1152C22⋊Q8—861no—
1153C22⋊Q8—861no—
1154C22⋊Q8—861no—
1155C22⋊Q8C22×D4311yescharacteristic
1156C22⋊Q8C22×D4311yescharacteristic
1157#121—21no—
1158#121—431no—
1159#121—431no—
1160#121—431no—
1161#121—431no—
1162#121—431no—
1163#121—431no—
1164#121—431no—
1165#121—431no—
1166#121—431no—
1167#121—431no—
1168#121—431no—
1169#121—431no—
1170#121—861no—
1171#121—861no—
1172#121—861no—
1173#121—861no—
1174#121—861no—
1175#121—861no—
1176#121—861no—
1177#121—861no—
1178#121—861no—
1179#121—861no—
1180#121—861no—
1181#121—861no—
1182#121C22×D4311yescharacteristic
1183#121C22×D4311yescharacteristic
1184#120—431no—
1185#120—431no—
1186#120—861no—
1187#120—861no—
1188#120—861no—
1189C4×Q8—431no—
1190C4×Q8—861no—
1191C4×Q8—861no—
1192C4×Q8C22×D4311yescharacteristic
1193C4×D4—21no—
1194C4×D4—431no—
1195C4×D4—431no—
1196C4×D4—431no—
1197C4×D4—431no—
1198C4×D4—431no—
1199C4×D4—431no—
1200C4×D4—431no—
1201C4×D4—431no—
1202C4×D4—861no—
1203C4×D4—861no—
1204C4×D4—861no—
1205C4×D4—861no—
1206C4×D4—861no—
1207C4×D4—861no—
1208C4×D4—861no—
1209C4×D4—861no—
1210C4×D4—861no—
1211C4×D4—861no—
1212C4×D4—861no—
1213C4×D4—861no—
1214C4×D4—861no—
1215C4×D4—861no—
1216C4×D4—861no—
1217C4×D4—861no—
1218C4×D4—861no—
1219C4×D4—861no—
1220C4×D4—861no—
1221C4×D4C22×D4311yescharacteristic
1222C4×D4C22×D4311yescharacteristic
1223#117—21no—
1224#117—431no—
1225#117—431no—
1226#117—431no—
1227#117—431no—
1228#117—431no—
1229#117—431no—
1230#117—431no—
1231#117—431no—
1232#117—861no—
1233#117—861no—
1234#117—861no—
1235#117—861no—
1236#117—861no—
1237#117—861no—
1238#117C22×D4311yescharacteristic
1239#117C22×D4311yescharacteristic
1240C2×C4⋊C4—431no—
1241C2×C4⋊C4—431no—
1242C2×C4⋊C4—431no—
1243C2×C4⋊C4—431no—
1244C2×C4⋊C4—431no—
1245C2×C4⋊C4—431no—
1246C2×C4⋊C4—431no—
1247C2×C4⋊C4—431no—
1248C2×C4⋊C4—431no—
1249C2×C4⋊C4—431no—
1250C2×C4⋊C4—431no—
1251C2×C4⋊C4—861no—
1252C2×C4⋊C4—861no—
1253C2×C4⋊C4—861no—
1254C2×C4⋊C4—861no—
1255C2×C4⋊C4C22×D4311yescharacteristic
1256C2×C4⋊C4C22×D4311yescharacteristic
1257C2×C22⋊C4—861no—
1258C2×C22⋊C4—861no—
1259C2×C22⋊C4—861no—
1260C2×C22⋊C4—861no—
1261C2×C42—861no—
1262#107—431no—
1263#107—431no—
1264#107—431no—
1265#107—431no—
1266#107—431no—
1267#107—431no—
1268#107—431no—
1269#107—431no—
1270#107—431no—
1271#107—431no—
1272#107—431no—
1273#107—431no—
1274#107—431no—
1275#107—431no—
1276#107—431no—
1277#107—431no—
1278#107C22×D4311yescharacteristic
1279#107C22×D4311yescharacteristic
1280#107C22×D4311yescharacteristic
1281#107C22×D4311yescharacteristic
1282#107C22×D4311yescharacteristic
1283#107C22×D4311yescharacteristic
1284#106—431no—
1285#106—431no—
1286#106—431no—
1287#106—431no—
1288#106—431no—
1289#106—431no—
1290#106—431no—
1291#106—431no—
1292#106—431no—
1293#106—431no—
1294#106—431no—
1295#106C22×D4311yescharacteristic
1296#106C22×D4311yescharacteristic
1297#106C22×D4311yescharacteristic
1298C4⋊C8—431no—
1299C4⋊C8—431no—
1300C4⋊C8—431no—
1301C4⋊C8C22×D4311yescharacteristic
1302#103—431no—
1303#103—431no—
1304#103—431no—
1305#103C22×D4311yescharacteristic
1306#103C22×D4311yescharacteristic
1307#103C22×D4311yescharacteristic
1308#102—431no—
1309#102—431no—
1310#102—431no—
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#102C22×D4311yescharacteristic
1324#102C22×D4311yescharacteristic
1325#102C22×D4311yescharacteristic
1326C22⋊C8—431no—
1327C22⋊C8—431no—
1328C22⋊C8—431no—
1329C22⋊C8—431no—
1330C22⋊C8—431no—
1331C22⋊C8—431no—
1332C22⋊C8C22×D4311yescharacteristic
1333C22⋊C8C22×D4311yescharacteristic
1334#97—431no—
1335#97—431no—
1336C4×C8—431no—
1337C4×C8C22×D4311yescharacteristic
1338C24—431no—
1339C24—861no—
1340#41—862no—
1341#41—862no—
1342#41—862no—
1343#41—862no—
1344#41—3442no—
1345#41—3442no—
1346#41—3442no—
1347#41—3442no—
1348C2×Q8—21no—
1349C2×Q8—21no—
1350C2×Q8—431no—
1351C2×Q8—861no—
1352C2×Q8—861no—
1353C2×Q8C23×D4311yescharacteristic
1354C2×D4—21no—
1355C2×D4—21no—
1356C2×D4—431no—
1357C2×D4—431no—
1358C2×D4—431no—
1359C2×D4—431no—
1360C2×D4—431no—
1361C2×D4—431no—
1362C2×D4—431no—
1363C2×D4—431no—
1364C2×D4—861no—
1365C2×D4—861no—
1366C2×D4—861no—
1367C2×D4—861no—
1368C2×D4—861no—
1369C2×D4—862no—
1370C2×D4—862no—
1371C2×D4—861no—
1372C2×D4—861no—
1373C2×D4—861no—
1374C2×D4—861no—
1375C2×D4—861no—
1376C2×D4—861no—
1377C2×D4—861no—
1378C2×D4—3442no—
1379C2×D4D4×D4311yescharacteristic
1380C2×D4C23×D4311yescharacteristic
1381C22×C4—21no—
1382C22×C4—21no—
1383C22×C4—21no—
1384C22×C4—431no—
1385C22×C4—431no—
1386C22×C4—431no—
1387C22×C4—431no—
1388C22×C4—431no—
1389C22×C4—431no—
1390C22×C4—862no—
1391C22×C4—862no—
1392C22×C4—861no—
1393C22×C4—861no—
1394C22×C4—861no—
1395C22×C4—861no—
1396C22×C4—861no—
1397C22×C4—861no—
1398C22×C4—861no—
1399C22×C4—861no—
1400C22×C4—861no—
1401C22×C4—861no—
1402C22×C4—861no—
1403C22×C4—861no—
1404C22×C4—861no—
1405C22×C4—861no—
1406C22×C4—861no—
1407C22×C4—861no—
1408C22×C4—861no—
1409C22×C4—3442no—
1410C22×C4C23×D4311yescharacteristic
1411C22×C4C23×D4311yescharacteristic
1412SD16—22no—
1413SD16—862no—
1414D8—862no—
1415D8—862no—
1416M16—22no—
1417M16—22no—
1418M16—434no—
1419M16—862no—
1420M16—862no—
1421M16—862no—
1422C2×C8—431no—
1423C2×C8—431no—
1424C2×C8—431no—
1425C2×C8—431no—
1426C2×C8—862no—
1427C2×C8—862no—
1428C2×C8—862no—
1429C2×C8—862no—
1430C2×C8—862no—
1431C2×C8—862no—
1432C2×C8C23×D4311yescharacteristic
1433C2×C8C23×D4311yescharacteristic
1434C2×C8C23×D4311yescharacteristic
1435C2×C8C23×D4311yescharacteristic
1436C4⋊C4—21no—
1437C4⋊C4—21no—
1438C4⋊C4—21no—
1439C4⋊C4—21no—
1440C4⋊C4—21no—
1441C4⋊C4—21no—
1442C4⋊C4—21no—
1443C4⋊C4—431no—
1444C4⋊C4—431no—
1445C4⋊C4—431no—
1446C4⋊C4—431no—
1447C4⋊C4—431no—
1448C4⋊C4—431no—
1449C4⋊C4—431no—
1450C4⋊C4—431no—
1451C4⋊C4—431no—
1452C4⋊C4—431no—
1453C4⋊C4—431no—
1454C4⋊C4—861no—
1455C4⋊C4—861no—
1456C4⋊C4—861no—
1457C4⋊C4—861no—
1458C4⋊C4—861no—
1459C4⋊C4—861no—
1460C4⋊C4—861no—
1461C4⋊C4—861no—
1462C4⋊C4—861no—
1463C4⋊C4—861no—
1464C4⋊C4—861no—
1465C4⋊C4—861no—
1466C4⋊C4—861no—
1467C4⋊C4—861no—
1468C4⋊C4—861no—
1469C4⋊C4—861no—
1470C4⋊C4—861no—
1471C4⋊C4—861no—
1472C4⋊C4—861no—
1473C4⋊C4—861no—
1474C4⋊C4—861no—
1475C4⋊C4—861no—
1476C4⋊C4—861no—
1477C4⋊C4—861no—
1478C4⋊C4D4×D4311yescharacteristic
1479C4⋊C4C23×D4311yescharacteristic
1480C4⋊C4C23×D4311yescharacteristic
1481C4⋊C4C23×D4311yescharacteristic
1482C4⋊C4C23×D4311yescharacteristic
1483C4⋊C4C23×D4311yescharacteristic
1484C4⋊C4C23×D4311yescharacteristic
1485C22⋊C4—21no—
1486C22⋊C4—21no—
1487C22⋊C4—21no—
1488C22⋊C4—21no—
1489C22⋊C4—21no—
1490C22⋊C4—21no—
1491C22⋊C4—21no—
1492C22⋊C4—431no—
1493C22⋊C4—431no—
1494C22⋊C4—431no—
1495C22⋊C4—431no—
1496C22⋊C4—431no—
1497C22⋊C4—431no—
1498C22⋊C4—431no—
1499C22⋊C4—431no—
1500C22⋊C4—861no—
1501C22⋊C4—861no—
1502C22⋊C4—861no—
1503C22⋊C4—861no—
1504C22⋊C4—861no—
1505C22⋊C4—861no—
1506C22⋊C4—861no—
1507C22⋊C4—861no—
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⋊C4D4×D4311yescharacteristic
1525C22⋊C4D4×D4311yescharacteristic
1526C42—21no—
1527C42—21no—
1528C42—21no—
1529C42—431no—
1530C42—861no—
1531C42—861no—
1532C42—861no—
1533C42—861no—
1534C42—861no—
1535C42—861no—
1536C42—861no—
1537C42—861no—
1538C42C23×D4311yescharacteristic
1539C23—21no—
1540C23—431no—
1541C23—431no—
1542C23—431no—
1543C23—862no—
1544C23—862no—
1545C23—861no—
1546C23—861no—
1547C23—3441no—
1548C23—3441no—
1549C23—1721no—
1550C23—1722no—
1551C23C2×D4×D4311yescharacteristic
1552C23C2×D4×D4311yescharacteristic
1553Q8—21no—
1554Q8—21no—
1555Q8—81no—
1556Q8—81no—
1557Q8—862no—
1558Q8—3441no—
1559Q8—3441no—
1560D4—21no—
1561D4—21no—
1562D4—41no—
1563D4—81no—
1564D4—81no—
1565D4—862no—
1566D4—862no—
1567D4—862no—
1568D4—862no—
1569D4—862no—
1570D4—861no—
1571D4—861no—
1572D4—861no—
1573D4—861no—
1574D4—3441no—
1575D4—3441no—
1576D4—3441no—
1577D4—3441no—
1578D4—3441no—
1579D4—3441no—
1580D4—1722no—
1581D4—1722no—
1582D4—1722no—
1583D4—1722no—
1584D4—1721no—
1585D4—1722no—
1586D4—1722no—
1587C2×C4—21no—
1588C2×C4—21no—
1589C2×C4—21no—
1590C2×C4—21no—
1591C2×C4—21no—
1592C2×C4—21no—
1593C2×C4—21no—
1594C2×C4—21no—
1595C2×C4—21no—
1596C2×C4—21no—
1597C2×C4—21no—
1598C2×C4—81no—
1599C2×C4—81no—
1600C2×C4—81no—
1601C2×C4—431no—
1602C2×C4—432no—
1603C2×C4—432no—
1604C2×C4—431no—
1605C2×C4—431no—
1606C2×C4—431no—
1607C2×C4—431no—
1608C2×C4—862no—
1609C2×C4—862no—
1610C2×C4—862no—
1611C2×C4—861no—
1612C2×C4—861no—
1613C2×C4—861no—
1614C2×C4—861no—
1615C2×C4—861no—
1616C2×C4—861no—
1617C2×C4—861no—
1618C2×C4—861no—
1619C2×C4—861no—
1620C2×C4—861no—
1621C2×C4—3441no—
1622C2×C4—3441no—
1623C2×C4—3441no—
1624C2×C4—3441no—
1625C2×C4—3441no—
1626C2×C4—3441no—
1627C2×C4—3441no—
1628C2×C4—3441no—
1629C2×C4—3441no—
1630C2×C4—3441no—
1631C2×C4—3441no—
1632C2×C4—3441no—
1633C2×C4—3441no—
1634C2×C4—1722no—
1635C2×C4—1722no—
1636C2×C4—1722no—
1637C2×C4—1722no—
1638C2×C4C2×D4×D4311yescharacteristic
1639C2×C4C2×D4×D4311yescharacteristic
1640C2×C4C2×D4×D4311yescharacteristic
1641C2×C4C2×D4×D4311yescharacteristic
1642C2×C4C24×D4311yescharacteristic
1643C8—21no—
1644C8—21no—
1645C8—21no—
1646C8—432no—
1647C8—861no—
1648C8—861no—
1649C8—861no—
1650C8#41×D4312yes—
1651C22—21no—
1652C22—21no—
1653C22—21no—
1654C22—21no—
1655C22—21no—
1656C22—21no—
1657C22—41no—
1658C22—41no—
1659C22—41no—
1660C22—432no—
1661C22—432no—
1662C22—861no—
1663C22—861no—
1664C22—861no—
1665C22—861no—
1666C22—861no—
1667C22—861no—
1668C22—861no—
1669C22—1724no—
1670C22—1721no—
1671C22—1721no—
1672C22—1721no—
1673C22—1721no—
1674C22—1721no—
1675C22—1721no—
1676C22—6882no—
1677C22C22×D4×D4311yescharacteristic
1678C4—21no—
1679C4—21no—
1680C4—21no—
1681C4—21no—
1682C4—41no—
1683C4—41no—
1684C4—41no—
1685C4—41no—
1686C4—41no—
1687C4—41no—
1688C4—41no—
1689C4—432no—
1690C4—861no—
1691C4—861no—
1692C4—861no—
1693C4—861no—
1694C4—1721no—
1695C4—1721no—
1696C4—1721no—
1697C4—1721no—
1698C4—1721no—
1699C4—1721no—
1700C4C2×#41×D4311yescharacteristic
1701C42−1+4×D4311yescharacteristic
1702C2—41no—
1703C2—41no—
1704C2—81no—
1705C2—862no—
1706C2—862no—
1707C2—3441no—
1708C2—3441no—
1709C2—1721no—
1710C2#547×D4311yescharacteristic
1711C2#576×D4311yescharacteristic
1712C2#1914937811yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3357C2
socleC22×C43C23×D4
hypercenter#3357D43
hypocenterC43#61270
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3357

Complements

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

NH ≅ G/Ntype
1. #19148329C2semidirect
2. #19148303C2semidirect
3. #19147219C2semidirect
4. #19147201C2semidirect
5. #19147200C2semidirect
6. #19147096C2semidirect
7. #19147095C2semidirect
8. #19147075C2semidirect
9. #19147074C2semidirect
10. #19147072C2semidirect
11. #19147066C2semidirect
12. #19147032C2semidirect
13. #19147030C2semidirect
14. #19146979C2semidirect
15. #19146977C2semidirect
16. #19146942C2semidirect
17. #19146937C2semidirect
18. #19145128C2semidirect
19. #19144576C2semidirect
20. #19144546C2semidirect
21. #19144513C2semidirect
22. #480×D43C2semidirect
23. #19144443C2semidirect
24. #19144421C2semidirect
25. #19144270C2semidirect
26. #19144209C2semidirect
27. #19143422C2semidirect
28. #19143324C2semidirect
29. #19143194C2semidirect
30. #428×D43C2semidirect
31. C43×#3357C2semidirect
36. #14583607C22semidirect
40. #14583597C22semidirect
43. #14583595C22semidirect
45. #14583590C22semidirect
46. #14583583C22semidirect
51. #14583552C22semidirect
53. #14583550C22semidirect
78. #14583307C22semidirect
79. #14583307C22semidirect
80. #14583305C22semidirect
81. #14583305C22semidirect
82. #14583303C22semidirect
83. #14583301C22semidirect
84. #14583300C22semidirect
85. #14583239C22semidirect
86. #14583237C22semidirect
87. #14583233C22semidirect
88. #14583233C22semidirect
89. #14583232C22semidirect
90. #14583228C22semidirect
91. #14583226C22semidirect
92. #14583225C22semidirect
93. #14583224C22semidirect
94. #14583224C22semidirect
95. #14583223C22semidirect
96. #14583223C22semidirect
97. #14583221C22semidirect
98. #14583220C22semidirect
99. #14583219C22semidirect
100. #14583217C22semidirect
101. #14583216C22semidirect
104. #14583214C22semidirect
105. #14583214C22semidirect
106. #14583214C22semidirect
108. #14583213C22semidirect
113. #14583206C22semidirect
114. #14583204C22semidirect
115. #14583202C22semidirect
116. #14583201C22semidirect
117. #14583200C22semidirect
118. #14583200C22semidirect
119. #14583199C22semidirect
120. #14583198C22semidirect
121. #14583192C22semidirect
122. #14583188C22semidirect
123. #14583178C22semidirect
124. #14583177C22semidirect
125. #14583176C22semidirect
126. #14583176C22semidirect
128. #14583152C22semidirect
129. #14583151C22semidirect
131. #14583148C22semidirect
134. #14583136C22semidirect
136. #14583133C22semidirect
138. #14583130C22semidirect
140. #14583125C22semidirect
141. #14583010C22semidirect
142. #14583009C22semidirect
143. #14583000C22semidirect
144. #14582997C22semidirect
145. #14582984C22semidirect
146. C4×D344C22semidirect
147. #14582979C22semidirect
148. #14582974C22semidirect
149. #14582971C22semidirect
150. #14582969C22semidirect
151. #14582968C22semidirect
152. #14582968C22semidirect
153. C8×D172C22semidirect
154. (C22⋊D43)⋊C8C22semidirect
155. #14582942C22semidirect
156. #14582941C22semidirect
157. #14582941C22semidirect
161. #14582940C22semidirect
162. #14582939C22semidirect
165. #14582938C22semidirect
167. #14582935C22semidirect
169. #14582934C22semidirect
170. C2×#13063258C22semidirect
173. #107×D43C22semidirect
174. #107×D43C22semidirect
175. #107×D43C22semidirect
176. #106×D43C22semidirect
177. #106×D43C22semidirect
189. C43×#554C22semidirect
190. C43×#500C22semidirect
191. C43×#485C22semidirect
192. C43×#485C22semidirect
194. C43×#480C22semidirect
195. C43×#477C22semidirect
196. C43×#476C22semidirect
198. C43×#468C22semidirect
199. C4×SD16×C43C22semidirect
200. C43×#436C22semidirect
201. C43×#428C22semidirect
202. C43×#428C22semidirect
676. #10621872#41semidirect
849. #3357D43semidirect
895. #554C2×D43semidirect
941. #500C2×D43semidirect
946. #485C2×D43semidirect
947. #485C2×D43semidirect
975. #480C2×D43semidirect
985. #477C2×D43semidirect
987. #476C2×D43semidirect
999. #468C2×D43semidirect
1013. C4×SD16C2×D43semidirect
1017. #436C2×D43semidirect
1035. #428C2×D43semidirect
1036. #428C2×D43semidirect
1059. C43#61270semidirect

Maximal subgroups

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

subgroupindex
#191483292
#191483032
#191472192
#191472012
#191472002
#191470962
#191470952
#191470752
#191470742
#191470722
#191470662
#191470322
#191470302
#191469792
#191469772
#191469422
#191469372
#191451282
#191445762
#191445462
#191445132
#480×D432
#191444432
#191444212
#191442702
#191442092
#191434222
#191433242
#191431942
#428×D432
C43×#33572
#6127043