Finite Group Databasebeta

← #25975810

Subgroups — #25975810

Order 11008.

1824 conjugacy classes of subgroups.

The subgroup lattice has 1700 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19148319C211yesmaximal, characteristic, complemented
2#19148309C211yesmaximal, characteristic, complemented
3#19147200C211yesmaximal, characteristic, complemented
4#19147194C211yesmaximal, characteristic, complemented
5#19147172C211yesmaximal, characteristic, complemented
6#19147140C211yesmaximal, characteristic, complemented
7#19147135C211yesmaximal, characteristic, complemented
8#19147117C211yesmaximal, characteristic, complemented
9#19147105C211yesmaximal, characteristic, complemented
10#19147102C211yesmaximal, characteristic, complemented
11#19147096C211yesmaximal, characteristic, complemented
12#19147066C211yesmaximal, characteristic, complemented
13#19147065C211yesmaximal, characteristic, complemented
14#19147017C211yesmaximal, characteristic, complemented
15#19147012C211yesmaximal, characteristic, complemented
16#19146979C211yesmaximal, characteristic, complemented
17#19146972C211yesmaximal, characteristic, complemented
18#19145128C211yesmaximal, characteristic, complemented
19#19144574C211yesmaximal, characteristic, complemented
20#19144550C211yesmaximal, characteristic, complemented
21#19144511C211yesmaximal, characteristic, complemented
22#482×D43C211yesmaximal, characteristic, complemented
23#19144454C211yesmaximal, characteristic, complemented
24#19144419C211yesmaximal, characteristic, complemented
25#19144270C211yesmaximal, characteristic, complemented
26#19144209C211yesmaximal, characteristic, complemented
27#19143422C211yesmaximal, characteristic, complemented
28#19143324C211yesmaximal, characteristic, complemented
29#19143189C211yesmaximal, characteristic, complemented
30#19143182C211yesmaximal, characteristic, complemented
31C43×#3353C211yesmaximal, characteristic, complemented
32C2×#13063352C2211yescharacteristic
33C2×#13063333C2211yescharacteristic
34C2×M16×D43C2211yescharacteristic
35#14583621—21no—
36#14583620C2211yescharacteristic, complemented
37#14583615C2211yescharacteristic
38#14583615C2211yescharacteristic, complemented
39#14583613C2211yescharacteristic
40#14583612C2211yescharacteristic, complemented
41#14583611—21no—
42#14583601C2211yescharacteristic
43#14583600—21no—
44#14583599C2211yescharacteristic
45#14583597C2211yescharacteristic
46#14583595C2211yescharacteristic
47#14583595C2211yescharacteristic, complemented
48#14583593C2211yescharacteristic, complemented
49#14583591C2211yescharacteristic, complemented
50#14583590C2211yescharacteristic, complemented
51#14583585—21no—
52#14583577—21no—
53#14583576—21no—
54#14583550C2211yescharacteristic
55#14583541—21no—
56#14583537—21no—
57#14583526C2211yescharacteristic
58#14583526C2211yescharacteristic
59#14583519—21no—
60#14583501—21no—
61#14583488—21no—
62#14583483—21no—
63#14583479C2211yescharacteristic
64#14583465C2211yescharacteristic
65#14583445—21no—
66#14583436—21no—
67#14583432—21no—
68#14583426—21no—
69#14583412C2211yescharacteristic
70#14583408C2211yescharacteristic
71#121×D43C2211yescharacteristic
72#14583381C2211yescharacteristic
73#14583380C2211yescharacteristic
74#14583379C2211yescharacteristic
75#14583371C2211yescharacteristic
76C2×#13063283C2211yescharacteristic
77#117×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#14583239C2211yescharacteristic, complemented
87#14583238C2211yescharacteristic, complemented
88#14583237C2211yescharacteristic, complemented
89#14583233C2211yescharacteristic, complemented
90#14583227C2211yescharacteristic, complemented
91#14583226C2211yescharacteristic
92#14583226C2211yescharacteristic, complemented
93#14583226C2211yescharacteristic, complemented
94#14583226C2211yescharacteristic, complemented
95#14583226C2211yescharacteristic, complemented
96#14583225C2211yescharacteristic
97#14583224C2211yescharacteristic
98#14583224C2211yescharacteristic, complemented
99#14583223C2211yescharacteristic
100#14583223C2211yescharacteristic, complemented
101#14583222C2211yescharacteristic
102#14583221C2211yescharacteristic
103#14583221C2211yescharacteristic, complemented
104#14583220C2211yescharacteristic
105#14583219C2211yescharacteristic, complemented
106#14583217C2211yescharacteristic, complemented
107#14583215C2211yescharacteristic, complemented
108#14583214C2211yescharacteristic, complemented
109#14583213C2211yescharacteristic, complemented
110#14583213C2211yescharacteristic, complemented
111#14583212C2211yescharacteristic, complemented
112#14583211C2211yescharacteristic, complemented
113#14583208C2211yescharacteristic, complemented
114#14583206C2211yescharacteristic, complemented
115#14583202C2211yescharacteristic, complemented
116#14583200C2211yescharacteristic, complemented
117#14583200C2211yescharacteristic, complemented
118#14583199C2211yescharacteristic, complemented
119#14583198C2211yescharacteristic, complemented
120#14583197C2211yescharacteristic, complemented
121#14583188C2211yescharacteristic, complemented
122#14583187C2211yescharacteristic, complemented
123#14583186C2211yescharacteristic, complemented
124#14583186C2211yescharacteristic, complemented
125#14583182C2211yescharacteristic, complemented
126#14583178C2211yescharacteristic, 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#14582936C2211yescharacteristic
168#14582936C2211yescharacteristic, complemented
169#14582936C2211yescharacteristic, complemented
170#14582936C2211yescharacteristic, complemented
171#14582935C2211yescharacteristic, complemented
172#14582934C2211yescharacteristic, complemented
173#14582934C2211yescharacteristic, complemented
174#107×D43C2211yescharacteristic
175C2×#13063256C2211yescharacteristic, complemented
176#106×D43C2211yescharacteristic
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×#556C2211yescharacteristic, complemented
189C43×#547C2211yescharacteristic
190C43×#500C2211yescharacteristic, complemented
191C43×#484C2211yescharacteristic, complemented
192C43×#484C2211yescharacteristic, complemented
193C43×#482C2211yescharacteristic
194C43×#482C2211yescharacteristic, complemented
195C43×#475C2211yescharacteristic, complemented
196C43×#474C2211yescharacteristic, complemented
197C43×#468C2211yescharacteristic
198C43×#468C2211yescharacteristic, complemented
199C4×SD16×C43C2211yescharacteristic, complemented
200C43×#436C2211yescharacteristic, complemented
201C43×#428C2211yescharacteristic, complemented
202C43×#428C2211yescharacteristic, complemented
203C2×#10621902C2311yescharacteristic
204C2×#10621898—21no—
205C2×#10621898C2311yescharacteristic
206C2×D4×D43—21no—
207C2×D4×D43C2311yescharacteristic
208C22×C4×D43C2311yescharacteristic
209#13063352—24no—
210C2×#10621884C2311yescharacteristic
211C2×D344C2311yescharacteristic
212C2×#10621882C2311yescharacteristic
213#13063333—24no—
214C2×#10621877C2311yescharacteristic
215C2×#10621872C2311yescharacteristic
216C2×#10621872C2311yescharacteristic
217C2×#10621872C2311yescharacteristic
218M16×D43—24no—
219C22×C43⋊C8C2311yescharacteristic
220C2×C8×D43C2311yescharacteristic
221C2×C8×D43C2311yescharacteristic
222C2×C8×D43C2311yescharacteristic
223C2×C8×D43C2311yescharacteristic
224C2×C8×D43C2311yescharacteristic
225#13063324C2311yescharacteristic
226#13063324C2311yescharacteristic
227#13063323—21no—
228#13063323—21no—
229#13063321—21no—
230#13063320—21no—
231#13063320—21no—
232#13063320—21no—
233#13063320—21no—
234#13063320—21no—
235#13063319—21no—
236#13063319—21no—
237#13063318—21no—
238#13063318—21no—
239#13063318—21no—
240#13063317C2311yescharacteristic
241#13063317C2311yescharacteristic
242#13063316—21no—
243#13063316C2311yescharacteristic
244#13063316C2311yescharacteristic
245#13063315—21no—
246#13063315—21no—
247#13063315—21no—
248#13063314—21no—
249#13063314—21no—
250#13063314—21no—
251#13063314—21no—
252#13063313—21no—
253#13063312—21no—
254#13063311—21no—
255#13063311—21no—
256#13063311—21no—
257#13063311—21no—
258#13063310—21no—
259#13063310—21no—
260#13063310—21no—
261#13063310—21no—
262#13063310D411yescharacteristic
263#13063309—21no—
264#13063309—21no—
265#13063308—21no—
266#13063308—21no—
267#13063307—21no—
268#13063307—21no—
269#13063307—21no—
270#13063307D411yescharacteristic
271#13063303—21no—
272#13063303—21no—
273#13063303—21no—
274#13063303—21no—
275#13063303D411yescharacteristic
276#13063302D411yescharacteristic
277#13063301—21no—
278#13063301—21no—
279#13063301C2311yescharacteristic
280#13063301C2311yescharacteristic
281#13063300—21no—
282#13063300—21no—
283#13063300—21no—
284#13063300C2311yescharacteristic
285#13063300C2311yescharacteristic
286#13063300C2311yescharacteristic
287#13063300C2311yescharacteristic
288#13063299—21no—
289#13063299C2311yescharacteristic
290#13063299C2311yescharacteristic
291#13063299C2311yescharacteristic
292#13063299C2311yescharacteristic
293#13063298—21no—
294#13063298—21no—
295#13063298—21no—
296#13063298—21no—
297#13063298—21no—
298#13063298—21no—
299#13063298D411yescharacteristic
300#13063297—21no—
301#13063297—21no—
302#13063297—21no—
303#13063297—21no—
304#13063297—21no—
305#13063297D411yescharacteristic
306#13063296C2311yescharacteristic
307#13063296C2311yescharacteristic
308#13063295—21no—
309#13063295—21no—
310#13063295D411yescharacteristic
311#13063293—21no—
312#13063293D411yescharacteristic
313Q8×Dic43C2311yescharacteristic
314C4×Dic86—21no—
315#13063290—21no—
316#13063290—21no—
317C4×D172—21no—
318C4×D172—21no—
319C4×D172—21no—
320C4×D172C2311yescharacteristic
321C4×D172C2311yescharacteristic
322C4×D172C2311yescharacteristic
323D4×Dic43—21no—
324D4×Dic43C2311yescharacteristic
325#13063287—21no—
326#13063287—21no—
327#13063287—21no—
328#13063287C2311yescharacteristic
329#13063287C2311yescharacteristic
330C4×C22⋊D43—21no—
331C4×C22⋊D43—21no—
332C4×C22⋊D43—21no—
333C4×C22⋊D43—21no—
334C4×C22⋊D43—21no—
335C4×C22⋊D43C2311yescharacteristic
336C4×C22⋊D43C2311yescharacteristic
337(C22⋊D43)⋊C4—21no—
338(C22⋊D43)⋊C4—21no—
339(C22⋊D43)⋊C4—21no—
340(C22⋊D43)⋊C4—21no—
341(C22⋊D43)⋊C4—21no—
342(C22⋊D43)⋊C4—21no—
343#13063284C2311yescharacteristic
344#13063284C2311yescharacteristic
345#13063283—21no—
346#13063283—21no—
347#13063283—21no—
348#13063283—21no—
349#13063283C2311yescharacteristic
350#13063283C2311yescharacteristic
351#13063283C2311yescharacteristic
352#13063283C2311yescharacteristic
353#13063283C2311yescharacteristic
354#13063283C2311yescharacteristic
355#13063283C2311yescharacteristic
356#13063283C2311yescharacteristic
357#13063283C2311yescharacteristic
358#13063282—21no—
359#13063282—21no—
360#13063282—21no—
361#13063282—21no—
362#13063282C2311yescharacteristic
363#13063281—21no—
364#13063281—21no—
365#13063281—21no—
366C2×C4⋊Dic43C2311yescharacteristic
367C2×C4⋊Dic43C2311yescharacteristic
368C4⋊C4×D43—21no—
369C4⋊C4×D43C2311yescharacteristic
370C4⋊C4×D43C2311yescharacteristic
371C4⋊C4×D43C2311yescharacteristic
372C4⋊C4×D43C2311yescharacteristic
373C4⋊C4×D43C2311yescharacteristic
374C2×(C2×D43)⋊C4—21no—
375C2×(C2×D43)⋊C4—21no—
376C22⋊C4×D43—21no—
377C22⋊C4×D43—21no—
378C22⋊C4×D43—21no—
379C2×C4×Dic43—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#13063257C2311yescharacteristic
394#13063257C2311yescharacteristic
395#13063257C2311yescharacteristic
396#13063257C2311yescharacteristic
397#13063256C2311yescharacteristic
398#13063256C2311yescharacteristic
399#13063256C2311yescharacteristic
400#13063256C2311yescharacteristic
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×#41×C43—21no—
439C2×SD16×C43C2311yescharacteristic
440C2×M16×C43C2311yescharacteristic
441C2×M16×C43C2311yescharacteristic
442C4⋊Q8×C43C2311yescharacteristic
443C4⋊Q8×C43C2311yescharacteristic
444#126×C43—21no—
445#126×C43—21no—
446#124×C43—21no—
447#123×C43—21no—
448#123×C43—21no—
449C22⋊Q8×C43—21no—
450C22⋊Q8×C43C2311yescharacteristic
451C22⋊Q8×C43C2311yescharacteristic
452#121×C43C2311yescharacteristic
453#121×C43C2311yescharacteristic
454C4×Q8×C43—21no—
455C4×Q8×C43C2311yescharacteristic
456C4×D4×C43C2311yescharacteristic
457C4×D4×C43C2311yescharacteristic
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
483#41×C43—82no—
484C2×Q8×C43—21no—
485C2×Q8×C43—21no—
486C2×Q8×C43C2411yescharacteristic
487C2×D4×C43—21no—
488C2×D4×C43—21no—
489C2×D4×C43C2×D411yescharacteristic
490C2×D4×C43C2411yescharacteristic
491C22×C4×C43—21no—
492C22×C4×C43—21no—
493C22×C4×C43—21no—
494C22×C4×C43C2411yescharacteristic
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⋊D43C2×D411yescharacteristic
504C2×C22⋊D43C2×D411yescharacteristic
505C2×C22⋊D43C2×D411yescharacteristic
506C2×C22⋊D43C2×D411yescharacteristic
507C22×Dic43—21no—
508C22×Dic43—21no—
509C22×Dic43—21no—
510C22×Dic43C2×D411yescharacteristic
511#10621902—22no—
512#10621902—22no—
513D4×D43—22no—
514D4×D43—22no—
515D4×D43—82no—
516#10621898—22no—
517#10621898—22no—
518#10621898—82no—
519C2×D172—21no—
520C2×D172—21no—
521C2×D172—21no—
522C2×D172—21no—
523C2×D172—21no—
524C2×D172C2×D411yescharacteristic
525C2×D172C2×D411yescharacteristic
526C2×D172C2411yescharacteristic
527C2×D172C2411yescharacteristic
528C2×C4×D43—22no—
529C2×C4×D43—22no—
530C2×C4×D43—21no—
531C2×C4×D43—21no—
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×D43C2×D411yescharacteristic
541C2×C4×D43C2×D411yescharacteristic
542C2×C4×D43C2411yescharacteristic
543C2×C4×D43C2411yescharacteristic
544C2×C4×D43C2411yescharacteristic
545C2×Dic86—21no—
546C2×Dic86—21no—
547C2×Dic86C2×D411yescharacteristic
548SD16×C43—22no—
549M16×C43—22no—
550M16×C43—22no—
551C2×C8×C43C2411yescharacteristic
552C2×C8×C43C2411yescharacteristic
553C2×C8×C43C2411yescharacteristic
554C2×C8×C43C2411yescharacteristic
555C4⋊C4×C43—21no—
556C4⋊C4×C43—21no—
557C4⋊C4×C43—21no—
558C4⋊C4×C43—21no—
559C4⋊C4×C43—21no—
560C4⋊C4×C43—21no—
561C4⋊C4×C43—21no—
562C4⋊C4×C43C2×D411yescharacteristic
563C4⋊C4×C43C2411yescharacteristic
564C4⋊C4×C43C2411yescharacteristic
565C4⋊C4×C43C2411yescharacteristic
566C4⋊C4×C43C2411yescharacteristic
567C4⋊C4×C43C2411yescharacteristic
568C4⋊C4×C43C2411yescharacteristic
569C22⋊C4×C43—21no—
570C22⋊C4×C43—21no—
571C22⋊C4×C43—21no—
572C22⋊C4×C43—21no—
573C22⋊C4×C43—21no—
574C22⋊C4×C43—21no—
575C22⋊C4×C43—21no—
576C22⋊C4×C43C2×D411yescharacteristic
577C22⋊C4×C43C2×D411yescharacteristic
578C42×C43—21no—
579C42×C43—21no—
580C42×C43—21no—
581C42×C43C2411yescharacteristic
582C22⋊Dic43—21no—
583C22⋊Dic43—21no—
584C22⋊Dic43—21no—
585C22⋊Dic43—21no—
586C22⋊Dic43—21no—
587C22⋊Dic43C2×D411yescharacteristic
588C22⋊Dic43C2×D411yescharacteristic
589#10621884—22no—
590#10621882—22no—
591(C2×D43)⋊C4—21no—
592(C2×D43)⋊C4—21no—
593(C2×D43)⋊C4—21no—
594(C2×D43)⋊C4—21no—
595(C2×D43)⋊C4—21no—
596(C2×D43)⋊C4—21no—
597(C2×D43)⋊C4—21no—
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)⋊C4C2×D411yescharacteristic
615(C2×D43)⋊C4C2×D411yescharacteristic
616(C2×D43)⋊C4C2×D411yescharacteristic
617(C2×D43)⋊C4C2×D411yescharacteristic
618(C2×D43)⋊C4C2×D411yescharacteristic
619(C2×D43)⋊C4C2×D411yescharacteristic
620C4⋊Dic43—21no—
621C4⋊Dic43—21no—
622C4⋊Dic43—21no—
623C4⋊Dic43—21no—
624C4⋊Dic43—21no—
625C4⋊Dic43C2×D411yescharacteristic
626C4⋊Dic43C2411yescharacteristic
627C4⋊Dic43C2411yescharacteristic
628C4⋊Dic43C2411yescharacteristic
629C4⋊Dic43C2411yescharacteristic
630C4⋊Dic43C2411yescharacteristic
631C4⋊Dic43C2411yescharacteristic
632Dic43⋊C4—21no—
633Dic43⋊C4—21no—
634Dic43⋊C4—21no—
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⋊C4C2×D411yescharacteristic
648Dic43⋊C4C2×D411yescharacteristic
649Dic43⋊C4C2×D411yescharacteristic
650Dic43⋊C4C2×D411yescharacteristic
651C4×Dic43—21no—
652C4×Dic43—21no—
653C4×Dic43—21no—
654C4×Dic43—21no—
655C4×Dic43—21no—
656C4×Dic43—21no—
657C4×Dic43—21no—
658C4×Dic43—21no—
659C4×Dic43—21no—
660C4×Dic43—21no—
661C4×Dic43—21no—
662C4×Dic43—21no—
663C4×Dic43C2411yescharacteristic
664#10621877—22no—
665C2×C43⋊C8—22no—
666C2×C43⋊C8C2411yescharacteristic
667C2×C43⋊C8C2411yescharacteristic
668C2×C43⋊C8C2411yescharacteristic
669C2×C43⋊C8C2411yescharacteristic
670D344—22no—
671#10621872—22no—
672#10621872—22no—
673#10621872#4114yescomplemented
674C8×D43—22no—
675C8×D43—22no—
676C8×D43—22no—
677C8×D43—22no—
678C8×D43—22no—
679C23×C43—21no—
680C23×C43C22×D411yescharacteristic
681C23×C43C22×D411yescharacteristic
682C22×D43—22no—
683C22×D43—21no—
684C22×D43—21no—
685C22×D43—41no—
686C22×D43—41no—
687C22×D43—42no—
688C22×D43—81no—
689C22×D43—81no—
690C22×D43C22×D411yescharacteristic
691C22×D43C22×D411yescharacteristic
692C22×D43C22×D411yescharacteristic
693Q8×C43—21no—
694Q8×C43—21no—
695Q8×C43—81no—
696Q8×C43—81no—
697D4×C43—21no—
698D4×C43—21no—
699D4×C43—41no—
700D4×C43—42no—
701D4×C43—81no—
702C2×C4×C43—21no—
703C2×C4×C43—21no—
704C2×C4×C43—21no—
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—42no—
714C2×C4×C43—81no—
715C2×C4×C43—81no—
716C2×C4×C43C22×D411yescharacteristic
717C2×C4×C43C22×D411yescharacteristic
718C2×C4×C43C22×D411yescharacteristic
719C2×C4×C43C22×D411yescharacteristic
720C2×C4×C43C2511yescharacteristic
721C22⋊D43—22no—
722C22⋊D43—22no—
723C22⋊D43—41no—
724C22⋊D43—41no—
725C22⋊D43—42no—
726C22⋊D43—42no—
727C22⋊D43—81no—
728C22⋊D43—81no—
729C22⋊D43—81no—
730C22⋊D43—81no—
731C22⋊D43—81no—
732C2×Dic43—22no—
733C2×Dic43—21no—
734C2×Dic43—21no—
735C2×Dic43—21no—
736C2×Dic43—21no—
737C2×Dic43—21no—
738C2×Dic43—21no—
739C2×Dic43—81no—
740C2×Dic43—81no—
741C2×Dic43—81no—
742C2×Dic43C22×D411yescharacteristic
743C2×Dic43C22×D411yescharacteristic
744C2×Dic43C22×D411yescharacteristic
745C2×Dic43C22×D411yescharacteristic
746C2×Dic43C22×D411yescharacteristic
747D172—22no—
748D172—21no—
749D172—21no—
750D172—21no—
751D172—21no—
752D172—41no—
753D172—42no—
754D172—81no—
755D172—81no—
756D172—81no—
757D172—81no—
758C4×D43—22no—
759C4×D43—21no—
760C4×D43—21no—
761C4×D43—21no—
762C4×D43—21no—
763C4×D43—22no—
764C4×D43—42no—
765C4×D43—81no—
766C4×D43—81no—
767C4×D43—81no—
768C4×D43—81no—
769C4×D43—81no—
770C4×D43—81no—
771C4×D43—81no—
772C4×D43—81no—
773C4×D43—81no—
774C4×D43C2×#4112yes—
775C4×D432−1+412yes—
776Dic86—22no—
777Dic86—81no—
778Dic86—81no—
779C8×C43—21no—
780C8×C43—21no—
781C8×C43—21no—
782C8×C43C2×#4112yes—
783C43⋊C8—21no—
784C43⋊C8—21no—
785C43⋊C8—21no—
786C43⋊C8C2×#4112yes—
787#61274—431nomaximal, Sylow
788C22×C43—21no—
789C22×C43—21no—
790C22×C43—21no—
791C22×C43—21no—
792C22×C43—21no—
793C22×C43—21no—
794C22×C43—41no—
795C22×C43—41no—
796C22×C43—41no—
797C22×C43C23×D411yescharacteristic
798C2×D43—21no—
799C2×D43—21no—
800C2×D43—21no—
801C2×D43—21no—
802C2×D43—21no—
803C2×D43—21no—
804C2×D43—21no—
805C2×D43—21no—
806C2×D43—41no—
807C2×D43—41no—
808C2×D43—41no—
809C2×D43—41no—
810C2×D43—41no—
811C2×D43—41no—
812C2×D43—82no—
813C2×D43—162no—
814C2×D43#54712yes—
815C4×C43—21no—
816C4×C43—21no—
817C4×C43—21no—
818C4×C43—21no—
819C4×C43—41no—
820C4×C43—41no—
821C4×C43—41no—
822C4×C43—41no—
823C4×C43—41no—
824C4×C43—41no—
825C4×C43—41no—
826C4×C43C22×#4111yescharacteristic
827C4×C43C2×2−1+411yescharacteristic
828Dic43—21no—
829Dic43—21no—
830Dic43—21no—
831Dic43—21no—
832Dic43—41no—
833Dic43—41no—
834Dic43—41no—
835Dic43—41no—
836Dic43—41no—
837Dic43—41no—
838Dic43#54712yes—
839#3494—431no—
840#3493—431no—
841#3355—431no—
842#3355—431no—
843#3353—431no—
844#3353D4311yescharacteristic, complemented
845#3350—431no—
846#3350—431no—
847#3348—431no—
848#3348—431no—
849#3347—431no—
850#3347—431no—
851#3345—431no—
852#3345—431no—
853#3341—431no—
854#3341—431no—
855#3337—431no—
856#3337—431no—
857#3164—431no—
858#3098—431no—
859#3096—431no—
860#3091—431no—
861C2×#482—431no—
862#3084—431no—
863#3081—431no—
864#3062—431no—
865#3055—431no—
866#2946—431no—
867#2933—431no—
868#2912—431no—
869#2911—431no—
870C2×C43—41no—
871C2×C43—41no—
872C2×C43—81no—
873C2×C43C2×#54711yescharacteristic
874C2×C43#358411yescharacteristic
875C2×C43#358511yescharacteristic
876D43—22no—
877D43—41no—
878D43—41no—
879D43—81no—
880D43—81no—
881C2×AGL(1,ℤ/8)—431no—
882C2×#131—431no—
883C22×M16—431no—
884#556—431no—
885#556—861no—
886#556C2×D4311yescharacteristic, complemented
887#555—431no—
888#555—431no—
889#555—431no—
890#555—431no—
891#555—861no—
892#553—431no—
893#553—431no—
894#553—431no—
895#553—431no—
896#553—431no—
897#553—431no—
898#553—861no—
899#552—431no—
900#552—431no—
901#552—861no—
902#551—861no—
903#551—861no—
904#547—431no—
905#547C2×D4311yescharacteristic
906#546—861no—
907#546—861no—
908#544—431no—
909#544—431no—
910#542—861no—
911#540—861no—
912#538—861no—
913#538—861no—
914#537—431no—
915#535—431no—
916#532—861no—
917#529—861no—
918#529—861no—
919#529—861no—
920#525—431no—
921#525—431no—
922C2×#121—431no—
923#520—431no—
924#520—431no—
925#520—431no—
926#518—431no—
927C2×#117—431no—
928C2×#117—431no—
929#501—431no—
930#501—431no—
931#501—431no—
932#501—431no—
933#500—431no—
934#500C2×D4311yescharacteristic, complemented
935#499—431no—
936#499—431no—
937#485—431no—
938#485—431no—
939#485—431no—
940#485—431no—
941#484—431no—
942#484C2×D4311yescharacteristic, complemented
943#484C2×D4311yescharacteristic, complemented
944#483—431no—
945#482—431no—
946#482—431no—
947#482—431no—
948#482—431no—
949#482—431no—
950#482—431no—
951#482—431no—
952#482—431no—
953#482—431no—
954#482—431no—
955#482—431no—
956#482—431no—
957#482—431no—
958#482—431no—
959#482C2×D4311yescharacteristic
960#482C2×D4311yescharacteristic, complemented
961#481—431no—
962#481—431no—
963#481—431no—
964#480—431no—
965#480—431no—
966#480—431no—
967#480—431no—
968#480—431no—
969#479—431no—
970#479—431no—
971#478—431no—
972#478—431no—
973#478—431no—
974#478—431no—
975#478—431no—
976#478—431no—
977#476—431no—
978#476—431no—
979#476—431no—
980#476—431no—
981#475—431no—
982#475C2×D4311yescharacteristic, complemented
983#474—431no—
984#474C2×D4311yescharacteristic, complemented
985#469—431no—
986#469—431no—
987#469—431no—
988#469—431no—
989#468—431no—
990#468—431no—
991#468C2×D4311yescharacteristic
992#468C2×D4311yescharacteristic, complemented
993#466—431no—
994#466—431no—
995#466—431no—
996#466—431no—
997#465—431no—
998#465—431no—
999#465—431no—
1000#465—431no—
1001#442—431no—
1002#442—431no—
1003#440—431no—
1004#440—431no—
1005C4×SD16—431no—
1006C4×SD16C2×D4311yescharacteristic, complemented
1007C4×D8—431no—
1008C4×D8—431no—
1009#436—431no—
1010#436C2×D4311yescharacteristic, complemented
1011#435—431no—
1012#435—431no—
1013#435—431no—
1014#435—431no—
1015C8×D4—431no—
1016C8×D4—431no—
1017#428—431no—
1018#428—431no—
1019#428—431no—
1020#428—431no—
1021#428—431no—
1022#428—431no—
1023#428—431no—
1024#428—431no—
1025#428—431no—
1026#428—431no—
1027#428—431no—
1028#428C2×D4311yescharacteristic, complemented
1029#428C2×D4311yescharacteristic, complemented
1030#427—431no—
1031#427—431no—
1032#427—431no—
1033#427—431no—
1034#427—431no—
1035#427—431no—
1036#427—431no—
1037#427—431no—
1038C2×#107—431no—
1039C2×#106—431no—
1040C2×#106—431no—
1041C2×#106—431no—
1042#424—431no—
1043#418—431no—
1044#417—431no—
1045#416—431no—
1046#416—431no—
1047C2×#102—431no—
1048C2×#102—431no—
1049#408—431no—
1050C2×C22⋊C8—431no—
1051#405—431no—
1052C43#6127411yescharacteristic, complemented, Sylow
1053C2×#41—21no—
1054C2×#41—431no—
1055C2×#41—431no—
1056C2×#41—861no—
1057C22×D4—431no—
1058C22×D4—861no—
1059C23×C4—431no—
1060AGL(1,ℤ/8)—864no—
1061C2×SD16—431no—
1062C2×SD16C22×D4311yescharacteristic
1063C2×D8—431no—
1064C2×D8—431no—
1065#131—864no—
1066C2×M16—431no—
1067C2×M16—431no—
1068C2×M16—431no—
1069C2×M16—431no—
1070C2×M16—864no—
1071C2×M16C22×D4311yescharacteristic
1072C2×M16C22×D4311yescharacteristic
1073C22×C8—431no—
1074C22×C8—431no—
1075C22×C8—431no—
1076C22×C8—431no—
1077C22×C8—431no—
1078C22×C8—431no—
1079C4⋊Q8—431no—
1080C4⋊Q8—431no—
1081C4⋊Q8—861no—
1082C4⋊Q8—861no—
1083C4⋊Q8C22×D4311yescharacteristic
1084C4⋊Q8C22×D4311yescharacteristic
1085#127—861no—
1086#126—21no—
1087#126—21no—
1088#126—861no—
1089#126—861no—
1090#126—861no—
1091#126—861no—
1092#126—861no—
1093#126—861no—
1094#126—861no—
1095#126—861no—
1096#126—861no—
1097#126—861no—
1098#125—431no—
1099#125—431no—
1100#125—431no—
1101#125—431no—
1102#125—861no—
1103#125—861no—
1104#125—861no—
1105#125—861no—
1106#124—21no—
1107#124—861no—
1108#124—861no—
1109#124—861no—
1110#124—861no—
1111#124—861no—
1112#124—861no—
1113#124—861no—
1114#124—861no—
1115#124—861no—
1116#124—861no—
1117#123—21no—
1118#123—21no—
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—
1132C22⋊Q8—21no—
1133C22⋊Q8—431no—
1134C22⋊Q8—431no—
1135C22⋊Q8—431no—
1136C22⋊Q8—431no—
1137C22⋊Q8—861no—
1138C22⋊Q8—861no—
1139C22⋊Q8—861no—
1140C22⋊Q8—861no—
1141C22⋊Q8—861no—
1142C22⋊Q8—861no—
1143C22⋊Q8C22×D4311yescharacteristic
1144C22⋊Q8C22×D4311yescharacteristic
1145#121—431no—
1146#121—431no—
1147#121—431no—
1148#121—431no—
1149#121—431no—
1150#121—431no—
1151#121—431no—
1152#121—431no—
1153#121—431no—
1154#121—431no—
1155#121—431no—
1156#121—431no—
1157#121—861no—
1158#121—861no—
1159#121—861no—
1160#121—861no—
1161#121—861no—
1162#121—861no—
1163#121—861no—
1164#121—861no—
1165#121—861no—
1166#121—861no—
1167#121—861no—
1168#121—861no—
1169#121—861no—
1170#121—861no—
1171#121—861no—
1172#121C22×D4311yescharacteristic
1173#121C22×D4311yescharacteristic
1174#120—431no—
1175#120—431no—
1176#120—861no—
1177#120—861no—
1178#120—861no—
1179C4×Q8—21no—
1180C4×Q8—431no—
1181C4×Q8—861no—
1182C4×Q8—861no—
1183C4×Q8—861no—
1184C4×Q8C22×D4311yescharacteristic
1185C4×D4—431no—
1186C4×D4—431no—
1187C4×D4—431no—
1188C4×D4—431no—
1189C4×D4—431no—
1190C4×D4—431no—
1191C4×D4—431no—
1192C4×D4—431no—
1193C4×D4—861no—
1194C4×D4—861no—
1195C4×D4—861no—
1196C4×D4—861no—
1197C4×D4—861no—
1198C4×D4—861no—
1199C4×D4—861no—
1200C4×D4—861no—
1201C4×D4—861no—
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×D4C22×D4311yescharacteristic
1212C4×D4C22×D4311yescharacteristic
1213#117—431no—
1214#117—431no—
1215#117—431no—
1216#117—431no—
1217#117—431no—
1218#117—431no—
1219#117—431no—
1220#117—431no—
1221#117—431no—
1222#117—431no—
1223#117—431no—
1224#117—431no—
1225#117—861no—
1226#117—861no—
1227#117—861no—
1228#117—861no—
1229#117—861no—
1230#117—861no—
1231#117—861no—
1232#117—861no—
1233#117—861no—
1234#117—861no—
1235#117—861no—
1236#117C22×D4311yescharacteristic
1237#117C22×D4311yescharacteristic
1238C2×C4⋊C4—431no—
1239C2×C4⋊C4—431no—
1240C2×C4⋊C4—431no—
1241C2×C4⋊C4—431no—
1242C2×C4⋊C4—431no—
1243C2×C4⋊C4—431no—
1244C2×C4⋊C4—431no—
1245C2×C4⋊C4—861no—
1246C2×C4⋊C4C22×D4311yescharacteristic
1247C2×C4⋊C4C22×D4311yescharacteristic
1248C2×C22⋊C4—861no—
1249C2×C22⋊C4—861no—
1250C2×C22⋊C4—861no—
1251C2×C22⋊C4—861no—
1252C2×C22⋊C4—861no—
1253C2×C42—861no—
1254C2×C42—861no—
1255#107—431no—
1256#107—431no—
1257#107—431no—
1258#107—431no—
1259#107—431no—
1260#107—431no—
1261#107—431no—
1262#107—431no—
1263#107—431no—
1264#107—431no—
1265#107—431no—
1266#107—431no—
1267#107C22×D4311yescharacteristic
1268#107C22×D4311yescharacteristic
1269#107C22×D4311yescharacteristic
1270#107C22×D4311yescharacteristic
1271#107C22×D4311yescharacteristic
1272#107C22×D4311yescharacteristic
1273#106—431no—
1274#106—431no—
1275#106—431no—
1276#106—431no—
1277#106—431no—
1278#106—431no—
1279#106—431no—
1280#106—431no—
1281#106—431no—
1282#106—431no—
1283#106—431no—
1284#106—431no—
1285#106—431no—
1286#106—431no—
1287#106—431no—
1288#106C22×D4311yescharacteristic
1289#106C22×D4311yescharacteristic
1290#106C22×D4311yescharacteristic
1291C4⋊C8—431no—
1292C4⋊C8—431no—
1293C4⋊C8—431no—
1294C4⋊C8C22×D4311yescharacteristic
1295#103—431no—
1296#103—431no—
1297#103—431no—
1298#103C22×D4311yescharacteristic
1299#103C22×D4311yescharacteristic
1300#103C22×D4311yescharacteristic
1301#102—431no—
1302#102—431no—
1303#102—431no—
1304#102—431no—
1305#102—431no—
1306#102—431no—
1307#102—431no—
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#102C22×D4311yescharacteristic
1317#102C22×D4311yescharacteristic
1318#102C22×D4311yescharacteristic
1319C22⋊C8—431no—
1320C22⋊C8—431no—
1321C22⋊C8—431no—
1322C22⋊C8—431no—
1323C22⋊C8—431no—
1324C22⋊C8—431no—
1325C22⋊C8C22×D4311yescharacteristic
1326C22⋊C8C22×D4311yescharacteristic
1327#97—431no—
1328#97—431no—
1329C4×C8—431no—
1330C4×C8C22×D4311yescharacteristic
1331C24—431no—
1332C24—861no—
1333#41—82no—
1334#41—862no—
1335#41—862no—
1336#41—862no—
1337#41—862no—
1338#41—3442no—
1339C2×Q8—21no—
1340C2×Q8—21no—
1341C2×Q8—431no—
1342C2×Q8—861no—
1343C2×Q8—861no—
1344C2×Q8C23×D4311yescharacteristic
1345C2×D4—21no—
1346C2×D4—21no—
1347C2×D4—431no—
1348C2×D4—431no—
1349C2×D4—431no—
1350C2×D4—431no—
1351C2×D4—431no—
1352C2×D4—431no—
1353C2×D4—431no—
1354C2×D4—431no—
1355C2×D4—861no—
1356C2×D4—861no—
1357C2×D4—861no—
1358C2×D4—861no—
1359C2×D4—861no—
1360C2×D4—862no—
1361C2×D4—862no—
1362C2×D4—861no—
1363C2×D4—861no—
1364C2×D4—861no—
1365C2×D4—861no—
1366C2×D4—861no—
1367C2×D4—861no—
1368C2×D4—861no—
1369C2×D4—3442no—
1370C2×D4D4×D4311yescharacteristic
1371C2×D4C23×D4311yescharacteristic
1372C22×C4—21no—
1373C22×C4—21no—
1374C22×C4—21no—
1375C22×C4—431no—
1376C22×C4—431no—
1377C22×C4—431no—
1378C22×C4—431no—
1379C22×C4—431no—
1380C22×C4—431no—
1381C22×C4—862no—
1382C22×C4—862no—
1383C22×C4—861no—
1384C22×C4—861no—
1385C22×C4—861no—
1386C22×C4—861no—
1387C22×C4—861no—
1388C22×C4—861no—
1389C22×C4—861no—
1390C22×C4—861no—
1391C22×C4—861no—
1392C22×C4—861no—
1393C22×C4—861no—
1394C22×C4—861no—
1395C22×C4—861no—
1396C22×C4C23×D4311yescharacteristic
1397C22×C4C23×D4311yescharacteristic
1398SD16—22no—
1399SD16—862no—
1400D8—862no—
1401D8—862no—
1402M16—22no—
1403M16—22no—
1404M16—434no—
1405M16—862no—
1406M16—862no—
1407M16—862no—
1408C2×C8—431no—
1409C2×C8—431no—
1410C2×C8—431no—
1411C2×C8—431no—
1412C2×C8—862no—
1413C2×C8—862no—
1414C2×C8—862no—
1415C2×C8—862no—
1416C2×C8—862no—
1417C2×C8—862no—
1418C2×C8C23×D4311yescharacteristic
1419C2×C8C23×D4311yescharacteristic
1420C2×C8C23×D4311yescharacteristic
1421C2×C8C23×D4311yescharacteristic
1422C4⋊C4—21no—
1423C4⋊C4—21no—
1424C4⋊C4—21no—
1425C4⋊C4—21no—
1426C4⋊C4—21no—
1427C4⋊C4—21no—
1428C4⋊C4—21no—
1429C4⋊C4—431no—
1430C4⋊C4—431no—
1431C4⋊C4—431no—
1432C4⋊C4—431no—
1433C4⋊C4—431no—
1434C4⋊C4—431no—
1435C4⋊C4—431no—
1436C4⋊C4—431no—
1437C4⋊C4—431no—
1438C4⋊C4—431no—
1439C4⋊C4—431no—
1440C4⋊C4—861no—
1441C4⋊C4—861no—
1442C4⋊C4—861no—
1443C4⋊C4—861no—
1444C4⋊C4—861no—
1445C4⋊C4—861no—
1446C4⋊C4—861no—
1447C4⋊C4—861no—
1448C4⋊C4—861no—
1449C4⋊C4—861no—
1450C4⋊C4—861no—
1451C4⋊C4—861no—
1452C4⋊C4—861no—
1453C4⋊C4—861no—
1454C4⋊C4—861no—
1455C4⋊C4—861no—
1456C4⋊C4—861no—
1457C4⋊C4—861no—
1458C4⋊C4—861no—
1459C4⋊C4—861no—
1460C4⋊C4D4×D4311yescharacteristic
1461C4⋊C4C23×D4311yescharacteristic
1462C4⋊C4C23×D4311yescharacteristic
1463C4⋊C4C23×D4311yescharacteristic
1464C4⋊C4C23×D4311yescharacteristic
1465C4⋊C4C23×D4311yescharacteristic
1466C4⋊C4C23×D4311yescharacteristic
1467C22⋊C4—21no—
1468C22⋊C4—21no—
1469C22⋊C4—21no—
1470C22⋊C4—21no—
1471C22⋊C4—21no—
1472C22⋊C4—21no—
1473C22⋊C4—21no—
1474C22⋊C4—431no—
1475C22⋊C4—431no—
1476C22⋊C4—431no—
1477C22⋊C4—431no—
1478C22⋊C4—431no—
1479C22⋊C4—431no—
1480C22⋊C4—431no—
1481C22⋊C4—431no—
1482C22⋊C4—861no—
1483C22⋊C4—861no—
1484C22⋊C4—861no—
1485C22⋊C4—861no—
1486C22⋊C4—861no—
1487C22⋊C4—861no—
1488C22⋊C4—861no—
1489C22⋊C4—861no—
1490C22⋊C4—861no—
1491C22⋊C4—861no—
1492C22⋊C4—861no—
1493C22⋊C4—861no—
1494C22⋊C4—861no—
1495C22⋊C4—861no—
1496C22⋊C4—861no—
1497C22⋊C4—861no—
1498C22⋊C4—861no—
1499C22⋊C4—861no—
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⋊C4D4×D4311yescharacteristic
1511C22⋊C4D4×D4311yescharacteristic
1512C42—21no—
1513C42—21no—
1514C42—21no—
1515C42—431no—
1516C42—861no—
1517C42—861no—
1518C42—861no—
1519C42—861no—
1520C42—861no—
1521C42—861no—
1522C42—861no—
1523C42—861no—
1524C42—861no—
1525C42—861no—
1526C42—861no—
1527C42—861no—
1528C42C23×D4311yescharacteristic
1529C23—21no—
1530C23—431no—
1531C23—431no—
1532C23—431no—
1533C23—862no—
1534C23—861no—
1535C23—861no—
1536C23—3441no—
1537C23—3441no—
1538C23—1721no—
1539C23—1721no—
1540C23—1722no—
1541C23C2×D4×D4311yescharacteristic
1542C23C2×D4×D4311yescharacteristic
1543Q8—21no—
1544Q8—21no—
1545Q8—81no—
1546Q8—81no—
1547Q8—862no—
1548Q8—3441no—
1549Q8—3441no—
1550D4—21no—
1551D4—21no—
1552D4—41no—
1553D4—42no—
1554D4—81no—
1555D4—862no—
1556D4—862no—
1557D4—862no—
1558D4—861no—
1559D4—861no—
1560D4—861no—
1561D4—861no—
1562D4—3441no—
1563D4—3441no—
1564D4—3441no—
1565D4—3441no—
1566D4—3441no—
1567D4—3441no—
1568D4—3441no—
1569D4—3441no—
1570D4—3441no—
1571D4—1721no—
1572D4—1722no—
1573D4—1722no—
1574D4—1721no—
1575D4—1721no—
1576D4—1722no—
1577C2×C4—21no—
1578C2×C4—21no—
1579C2×C4—21no—
1580C2×C4—21no—
1581C2×C4—21no—
1582C2×C4—21no—
1583C2×C4—21no—
1584C2×C4—21no—
1585C2×C4—21no—
1586C2×C4—21no—
1587C2×C4—21no—
1588C2×C4—42no—
1589C2×C4—81no—
1590C2×C4—81no—
1591C2×C4—431no—
1592C2×C4—432no—
1593C2×C4—432no—
1594C2×C4—431no—
1595C2×C4—431no—
1596C2×C4—431no—
1597C2×C4—431no—
1598C2×C4—862no—
1599C2×C4—862no—
1600C2×C4—862no—
1601C2×C4—861no—
1602C2×C4—861no—
1603C2×C4—861no—
1604C2×C4—861no—
1605C2×C4—861no—
1606C2×C4—861no—
1607C2×C4—861no—
1608C2×C4—861no—
1609C2×C4—861no—
1610C2×C4—861no—
1611C2×C4—3441no—
1612C2×C4—3441no—
1613C2×C4—3441no—
1614C2×C4—3441no—
1615C2×C4—3441no—
1616C2×C4—3441no—
1617C2×C4—3441no—
1618C2×C4—3441no—
1619C2×C4—3441no—
1620C2×C4—3441no—
1621C2×C4—3441no—
1622C2×C4—3441no—
1623C2×C4—1722no—
1624C2×C4C2×D4×D4311yescharacteristic
1625C2×C4C2×D4×D4311yescharacteristic
1626C2×C4C2×D4×D4311yescharacteristic
1627C2×C4C2×D4×D4311yescharacteristic
1628C2×C4C24×D4311yescharacteristic
1629C8—21no—
1630C8—21no—
1631C8—21no—
1632C8—432no—
1633C8—861no—
1634C8—861no—
1635C8—861no—
1636C8#41×D4312yes—
1637C22—21no—
1638C22—21no—
1639C22—21no—
1640C22—21no—
1641C22—21no—
1642C22—21no—
1643C22—41no—
1644C22—41no—
1645C22—41no—
1646C22—432no—
1647C22—861no—
1648C22—861no—
1649C22—861no—
1650C22—861no—
1651C22—861no—
1652C22—861no—
1653C22—861no—
1654C22—861no—
1655C22—3442no—
1656C22—1721no—
1657C22—1721no—
1658C22—1721no—
1659C22—1721no—
1660C22—1721no—
1661C22—1721no—
1662C22—6882no—
1663C22C22×D4×D4311yescharacteristic
1664C4—21no—
1665C4—21no—
1666C4—21no—
1667C4—21no—
1668C4—41no—
1669C4—41no—
1670C4—41no—
1671C4—41no—
1672C4—41no—
1673C4—41no—
1674C4—41no—
1675C4—432no—
1676C4—861no—
1677C4—861no—
1678C4—861no—
1679C4—861no—
1680C4—1721no—
1681C4—1721no—
1682C4—1721no—
1683C4—1721no—
1684C4—1721no—
1685C4—1721no—
1686C4C2×#41×D4311yescharacteristic
1687C42−1+4×D4311yescharacteristic
1688C2—41no—
1689C2—41no—
1690C2—81no—
1691C2—862no—
1692C2—3441no—
1693C2—3441no—
1694C2—1721no—
1695C2—1721no—
1696C2#547×D4311yescharacteristic
1697C2#1914936511yescharacteristic
1698C2#1914937111yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3353C2
socleC22×C43C23×D4
hypercenter#3353D43
hypocenterC43#61274
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3353

Complements

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

NH ≅ G/Ntype
1. #19148319C2semidirect
2. #19148309C2semidirect
3. #19147200C2semidirect
4. #19147194C2semidirect
5. #19147172C2semidirect
6. #19147140C2semidirect
7. #19147135C2semidirect
8. #19147117C2semidirect
9. #19147105C2semidirect
10. #19147102C2semidirect
11. #19147096C2semidirect
12. #19147066C2semidirect
13. #19147065C2semidirect
14. #19147017C2semidirect
15. #19147012C2semidirect
16. #19146979C2semidirect
17. #19146972C2semidirect
18. #19145128C2semidirect
19. #19144574C2semidirect
20. #19144550C2semidirect
21. #19144511C2semidirect
22. #482×D43C2semidirect
23. #19144454C2semidirect
24. #19144419C2semidirect
25. #19144270C2semidirect
26. #19144209C2semidirect
27. #19143422C2semidirect
28. #19143324C2semidirect
29. #19143189C2semidirect
30. #19143182C2semidirect
31. C43×#3353C2semidirect
36. #14583620C22semidirect
38. #14583615C22semidirect
40. #14583612C22semidirect
47. #14583595C22semidirect
48. #14583593C22semidirect
49. #14583591C22semidirect
50. #14583590C22semidirect
78. #14583307C22semidirect
79. #14583307C22semidirect
80. #14583305C22semidirect
81. #14583305C22semidirect
82. #14583303C22semidirect
83. #14583301C22semidirect
84. #14583300C22semidirect
85. #14583239C22semidirect
86. #14583239C22semidirect
87. #14583238C22semidirect
88. #14583237C22semidirect
89. #14583233C22semidirect
90. #14583227C22semidirect
92. #14583226C22semidirect
93. #14583226C22semidirect
94. #14583226C22semidirect
95. #14583226C22semidirect
98. #14583224C22semidirect
100. #14583223C22semidirect
103. #14583221C22semidirect
105. #14583219C22semidirect
106. #14583217C22semidirect
107. #14583215C22semidirect
108. #14583214C22semidirect
109. #14583213C22semidirect
110. #14583213C22semidirect
111. #14583212C22semidirect
112. #14583211C22semidirect
113. #14583208C22semidirect
114. #14583206C22semidirect
115. #14583202C22semidirect
116. #14583200C22semidirect
117. #14583200C22semidirect
118. #14583199C22semidirect
119. #14583198C22semidirect
120. #14583197C22semidirect
121. #14583188C22semidirect
122. #14583187C22semidirect
123. #14583186C22semidirect
124. #14583186C22semidirect
125. #14583182C22semidirect
126. #14583178C22semidirect
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
168. #14582936C22semidirect
169. #14582936C22semidirect
170. #14582936C22semidirect
171. #14582935C22semidirect
172. #14582934C22semidirect
173. #14582934C22semidirect
175. C2×#13063256C22semidirect
177. #106×D43C22semidirect
188. C43×#556C22semidirect
190. C43×#500C22semidirect
191. C43×#484C22semidirect
192. C43×#484C22semidirect
194. C43×#482C22semidirect
195. C43×#475C22semidirect
196. C43×#474C22semidirect
198. C43×#468C22semidirect
199. C4×SD16×C43C22semidirect
200. C43×#436C22semidirect
201. C43×#428C22semidirect
202. C43×#428C22semidirect
673. #10621872#41semidirect
844. #3353D43semidirect
886. #556C2×D43semidirect
934. #500C2×D43semidirect
942. #484C2×D43semidirect
943. #484C2×D43semidirect
960. #482C2×D43semidirect
982. #475C2×D43semidirect
984. #474C2×D43semidirect
992. #468C2×D43semidirect
1006. C4×SD16C2×D43semidirect
1010. #436C2×D43semidirect
1028. #428C2×D43semidirect
1029. #428C2×D43semidirect
1052. C43#61274semidirect

Maximal subgroups

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

subgroupindex
#191483192
#191483092
#191472002
#191471942
#191471722
#191471402
#191471352
#191471172
#191471052
#191471022
#191470962
#191470662
#191470652
#191470172
#191470122
#191469792
#191469722
#191451282
#191445742
#191445502
#191445112
#482×D432
#191444542
#191444192
#191442702
#191442092
#191434222
#191433242
#191431892
#191431822
C43×#33532
#6127443