Finite Group Databasebeta

← #25975626

Subgroups — #25975626

Order 11008.

1810 conjugacy classes of subgroups.

The subgroup lattice has 1682 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19148309C211yesmaximal, characteristic, complemented
2#19148303C211yesmaximal, characteristic, complemented
3#19147205C211yesmaximal, characteristic, complemented
4#19147200C211yesmaximal, characteristic, complemented
5#19147197C211yesmaximal, characteristic, complemented
6#19147189C211yesmaximal, characteristic, complemented
7#19147186C211yesmaximal, characteristic, complemented
8#19147171C211yesmaximal, characteristic, complemented
9#19147165C211yesmaximal, characteristic, complemented
10#19147143C211yesmaximal, characteristic, complemented
11#19147140C211yesmaximal, characteristic, complemented
12#19147117C211yesmaximal, characteristic, complemented
13#19147114C211yesmaximal, characteristic, complemented
14#19147074C211yesmaximal, characteristic, complemented
15#19147073C211yesmaximal, characteristic, complemented
16#19147033C211yesmaximal, characteristic, complemented
17#19147032C211yesmaximal, characteristic, complemented
18#19145120C211yesmaximal, characteristic, complemented
19#19144579C211yesmaximal, characteristic, complemented
20#19144576C211yesmaximal, characteristic, complemented
21#19144527C211yesmaximal, characteristic, complemented
22#19144519C211yesmaximal, characteristic, complemented
23#19144454C211yesmaximal, characteristic, complemented
24#19144443C211yesmaximal, characteristic, complemented
25#19144259C211yesmaximal, characteristic, complemented
26#19144206C211yesmaximal, characteristic, complemented
27#19143470C211yesmaximal, characteristic, complemented
28#19143295C211yesmaximal, characteristic, complemented
29#19143194C211yesmaximal, characteristic, complemented
30#428×D43C211yesmaximal, characteristic, complemented
31C43×#3356C211yesmaximal, characteristic, complemented
32C2×#13063348C2211yescharacteristic
33C2×#13063333C2211yescharacteristic
34C2×M16×D43C2211yescharacteristic
35#14583621—21no—
36#14583620C2211yescharacteristic
37#14583615C2211yescharacteristic
38#14583612C2211yescharacteristic
39#14583611—21no—
40#14583607C2211yescharacteristic
41#14583603—21no—
42#14583600—21no—
43#14583598—21no—
44#14583597C2211yescharacteristic
45#14583595C2211yescharacteristic
46#14583595C2211yescharacteristic
47#14583593C2211yescharacteristic
48#14583591C2211yescharacteristic
49#14583590C2211yescharacteristic
50#14583590C2211yescharacteristic
51#14583585—21no—
52#14583583C2211yescharacteristic
53#14583581—21no—
54#14583552C2211yescharacteristic
55#14583551—21no—
56#14583550C2211yescharacteristic
57#14583526C2211yescharacteristic
58#14583526C2211yescharacteristic
59#14583497—21no—
60#14583495—21no—
61#14583488—21no—
62#14583483—21no—
63#14583479C2211yescharacteristic
64#14583479C2211yescharacteristic
65#14583436—21no—
66#14583432—21no—
67#14583412—21no—
68#14583412C2211yescharacteristic
69#14583412C2211yescharacteristic
70#14583408—21no—
71#14583408C2211yescharacteristic
72#14583381C2211yescharacteristic
73#14583381C2211yescharacteristic
74#14583380C2211yescharacteristic
75#14583379C2211yescharacteristic
76#117×D43C2211yescharacteristic
77C2×C4⋊C4×D43C2211yescharacteristic
78#14583306C2211yescharacteristic, complemented
79#14583306C2211yescharacteristic, complemented
80#14583305C2211yescharacteristic, complemented
81#14583305C2211yescharacteristic, complemented
82#14583301C2211yescharacteristic, complemented
83#14583299C2211yescharacteristic, complemented
84#14583296C2211yescharacteristic, complemented
85#14583239C2211yescharacteristic
86#14583239C2211yescharacteristic, complemented
87#14583239C2211yescharacteristic, complemented
88#14583238C2211yescharacteristic
89#14583237C2211yescharacteristic
90#14583237C2211yescharacteristic, complemented
91#14583233C2211yescharacteristic
92#14583233C2211yescharacteristic
93#14583233C2211yescharacteristic, complemented
94#14583232C2211yescharacteristic, complemented
95#14583228C2211yescharacteristic, complemented
96#14583227C2211yescharacteristic
97#14583226C2211yescharacteristic
98#14583225C2211yescharacteristic
99#14583225C2211yescharacteristic, complemented
100#14583225C2211yescharacteristic, complemented
101#14583224C2211yescharacteristic
102#14583224C2211yescharacteristic, complemented
103#14583223C2211yescharacteristic
104#14583223C2211yescharacteristic, complemented
105#14583219C2211yescharacteristic
106#14583219C2211yescharacteristic
107#14583219C2211yescharacteristic, complemented
108#14583217C2211yescharacteristic, complemented
109#14583214C2211yescharacteristic, complemented
110#14583213C2211yescharacteristic
111#14583213C2211yescharacteristic, complemented
112#14583212C2211yescharacteristic
113#14583208C2211yescharacteristic, complemented
114#14583206C2211yescharacteristic, complemented
115#14583206C2211yescharacteristic, complemented
116#14583204C2211yescharacteristic, complemented
117#14583202C2211yescharacteristic, complemented
118#14583200C2211yescharacteristic, complemented
119#14583200C2211yescharacteristic, complemented
120#14583198C2211yescharacteristic, complemented
121#14583192C2211yescharacteristic, complemented
122#14583188C2211yescharacteristic, complemented
123#14583186C2211yescharacteristic, complemented
124#14583182C2211yescharacteristic, complemented
125#14583178C2211yescharacteristic, complemented
126#14583176C2211yescharacteristic, complemented
127#14583154C2211yescharacteristic
128#14583154C2211yescharacteristic, complemented
129#14583153C2211yescharacteristic
130#14583153C2211yescharacteristic, complemented
131#14583152C2211yescharacteristic
132#14583152C2211yescharacteristic, complemented
133#14583148C2211yescharacteristic
134#14583148C2211yescharacteristic
135#14583147C2211yescharacteristic
136#14583147C2211yescharacteristic
137#14583131C2211yescharacteristic, complemented
138#14583131C2211yescharacteristic, complemented
139#14583130C2211yescharacteristic, complemented
140#14583130C2211yescharacteristic, complemented
141#14583002C2211yescharacteristic, complemented
142#14583002C2211yescharacteristic, complemented
143#14582997C2211yescharacteristic, complemented
144#14582997C2211yescharacteristic, complemented
145Q16×Dic43C2211yescharacteristic, complemented
146C4×D344C2211yescharacteristic, complemented
147#14582981C2211yescharacteristic, complemented
148#14582978C2211yescharacteristic
149#14582975C2211yescharacteristic
150#14582975C2211yescharacteristic
151#14582973C2211yescharacteristic
152#14582971C2211yescharacteristic
153#14582969C2211yescharacteristic
154#14582967C2211yescharacteristic
155#14582942C2211yescharacteristic
156#14582941C2211yescharacteristic
157#14582941C2211yescharacteristic, complemented
158#14582940C2211yescharacteristic
159#14582940C2211yescharacteristic
160#14582940C2211yescharacteristic
161#14582940C2211yescharacteristic, complemented
162#14582939C2211yescharacteristic
163#14582938C2211yescharacteristic
164#14582938C2211yescharacteristic
165#14582938C2211yescharacteristic
166#14582938C2211yescharacteristic
167#14582938C2211yescharacteristic
168#14582938C2211yescharacteristic, complemented
169#14582935C2211yescharacteristic, complemented
170#14582934C2211yescharacteristic
171#14582934C2211yescharacteristic, complemented
172C2×#13063258C2211yescharacteristic, complemented
173#107×D43C2211yescharacteristic
174#107×D43C2211yescharacteristic
175#107×D43C2211yescharacteristic, complemented
176#106×D43C2211yescharacteristic
177#106×D43C2211yescharacteristic
178#14582924C2211yescharacteristic
179#14582899C2211yescharacteristic
180#14582899C2211yescharacteristic
181#14582899C2211yescharacteristic
182#14582899C2211yescharacteristic
183#14582894C2211yescharacteristic
184#14582894C2211yescharacteristic
185#14582864C2211yescharacteristic
186#14582861C2211yescharacteristic
187#14582853C2211yescharacteristic
188C43×#556C2211yescharacteristic
189C43×#554C2211yescharacteristic
190C43×#498C2211yescharacteristic, complemented
191C43×#485C2211yescharacteristic
192C43×#485C2211yescharacteristic, complemented
193C43×#483C2211yescharacteristic
194C43×#483C2211yescharacteristic, complemented
195C43×#477C2211yescharacteristic, complemented
196C43×#475C2211yescharacteristic, complemented
197C43×#470C2211yescharacteristic
198C43×#470C2211yescharacteristic, complemented
199C4×Q16×C43C2211yescharacteristic, complemented
200C43×#436C2211yescharacteristic
201C43×#428C2211yescharacteristic
202C43×#428C2211yescharacteristic, complemented
203C2×#10621902—21no—
204C2×#10621902C2311yescharacteristic
205C2×#10621902C2311yescharacteristic
206C2×#10621898—21no—
207C2×#10621898C2311yescharacteristic
208C22×C4×D43—21no—
209C22×C4×D43C2311yescharacteristic
210#13063348—24no—
211C2×#10621884C2311yescharacteristic
212C2×#10621884C2311yescharacteristic
213C2×D344C2311yescharacteristic
214#13063333—24no—
215C2×#10621877C2311yescharacteristic
216C2×#10621872C2311yescharacteristic
217C2×#10621872C2311yescharacteristic
218C2×#10621872C2311yescharacteristic
219C2×#10621872C2311yescharacteristic
220C2×#10621872C2311yescharacteristic
221M16×D43—24no—
222C22×C43⋊C8C2311yescharacteristic
223C2×C8×D43C2311yescharacteristic
224C2×C8×D43C2311yescharacteristic
225C2×C8×D43C2311yescharacteristic
226#13063324C2311yescharacteristic
227#13063324C2311yescharacteristic
228#13063323—21no—
229#13063323—21no—
230#13063320—21no—
231#13063320—21no—
232#13063320—21no—
233#13063320—21no—
234#13063320—21no—
235#13063319—21no—
236#13063319—21no—
237#13063319—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#13063315—21no—
249#13063315—21no—
250#13063315—21no—
251#13063314—21no—
252#13063314—21no—
253#13063313—21no—
254#13063311—21no—
255#13063311—21no—
256#13063310—21no—
257#13063310—21no—
258#13063310—21no—
259#13063310—21no—
260#13063310—21no—
261#13063310—21no—
262#13063310—21no—
263#13063310—21no—
264#13063310D411yescharacteristic
265#13063309—21no—
266#13063308—21no—
267#13063307—21no—
268#13063307—21no—
269#13063307—21no—
270#13063307—21no—
271#13063307D411yescharacteristic
272#13063305—21no—
273#13063303—21no—
274#13063303—21no—
275#13063303—21no—
276#13063303—21no—
277#13063303—21no—
278#13063303D411yescharacteristic
279#13063302—21no—
280#13063302D411yescharacteristic
281#13063301—21no—
282#13063301—21no—
283#13063301—21no—
284#13063301C2311yescharacteristic
285#13063301C2311yescharacteristic
286#13063301C2311yescharacteristic
287#13063301C2311yescharacteristic
288#13063300—21no—
289#13063300—21no—
290#13063300—21no—
291#13063300C2311yescharacteristic
292#13063300C2311yescharacteristic
293#13063300C2311yescharacteristic
294#13063300C2311yescharacteristic
295#13063299—21no—
296#13063299C2311yescharacteristic
297#13063299C2311yescharacteristic
298#13063299C2311yescharacteristic
299#13063299C2311yescharacteristic
300#13063298—21no—
301#13063298—21no—
302#13063298—21no—
303#13063298—21no—
304#13063298—21no—
305#13063298—21no—
306#13063298D411yescharacteristic
307#13063297—21no—
308#13063297—21no—
309#13063297D411yescharacteristic
310#13063295—21no—
311#13063295—21no—
312#13063295D411yescharacteristic
313#13063293D411yescharacteristic
314Q8×Dic43C2311yescharacteristic
315Q8×Dic43C2311yescharacteristic
316C4×Dic86—21no—
317#13063290—21no—
318#13063290—21no—
319C4×D172—21no—
320C4×D172—21no—
321C4×D172—21no—
322C4×D172—21no—
323C4×D172C2311yescharacteristic
324C4×D172C2311yescharacteristic
325C4×D172C2311yescharacteristic
326#13063287—21no—
327#13063287—21no—
328#13063287—21no—
329#13063287—21no—
330#13063287—21no—
331#13063287C2311yescharacteristic
332#13063287C2311yescharacteristic
333C4×C22⋊D43—21no—
334C4×C22⋊D43—21no—
335C4×C22⋊D43—21no—
336C4×C22⋊D43C2311yescharacteristic
337C4×C22⋊D43C2311yescharacteristic
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(C22⋊D43)⋊C4—21no—
344(C22⋊D43)⋊C4—21no—
345#13063284C2311yescharacteristic
346#13063284C2311yescharacteristic
347#13063283—21no—
348#13063283—21no—
349#13063283C2311yescharacteristic
350#13063283C2311yescharacteristic
351#13063283C2311yescharacteristic
352#13063283C2311yescharacteristic
353#13063283C2311yescharacteristic
354#13063283C2311yescharacteristic
355#13063282—21no—
356#13063282—21no—
357#13063282—21no—
358#13063282—21no—
359#13063282—21no—
360#13063282—21no—
361#13063282C2311yescharacteristic
362#13063281—21no—
363#13063281—21no—
364C2×C4⋊Dic43C2311yescharacteristic
365C2×C4⋊Dic43C2311yescharacteristic
366C2×Dic43⋊C4—21no—
367C4⋊C4×D43—21no—
368C4⋊C4×D43—21no—
369C4⋊C4×D43—21no—
370C4⋊C4×D43—21no—
371C4⋊C4×D43C2311yescharacteristic
372C4⋊C4×D43C2311yescharacteristic
373C4⋊C4×D43C2311yescharacteristic
374C4⋊C4×D43C2311yescharacteristic
375C4⋊C4×D43C2311yescharacteristic
376C4⋊C4×D43C2311yescharacteristic
377C4⋊C4×D43C2311yescharacteristic
378C4⋊C4×D43C2311yescharacteristic
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#13063257C2311yescharacteristic
397#13063257C2311yescharacteristic
398#13063257C2311yescharacteristic
399#13063257C2311yescharacteristic
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#13063249C2311yescharacteristic
415#13063249C2311yescharacteristic
416#13063249C2311yescharacteristic
417#13063247C2311yescharacteristic
418#13063247C2311yescharacteristic
419#13063247C2311yescharacteristic
420#13063247C2311yescharacteristic
421#13063247C2311yescharacteristic
422#13063247C2311yescharacteristic
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×Q16×C43C2311yescharacteristic
439C2×M16×C43C2311yescharacteristic
440C2×M16×C43C2311yescharacteristic
441C4⋊Q8×C43C2311yescharacteristic
442C4⋊Q8×C43C2311yescharacteristic
443#126×C43—21no—
444#126×C43—21no—
445#125×C43—21no—
446#124×C43—21no—
447C22⋊Q8×C43—21no—
448C22⋊Q8×C43—21no—
449C22⋊Q8×C43C2311yescharacteristic
450C22⋊Q8×C43C2311yescharacteristic
451C22⋊Q8×C43C2311yescharacteristic
452C22⋊Q8×C43C2311yescharacteristic
453C4×Q8×C43—21no—
454C4×Q8×C43C2311yescharacteristic
455C4×Q8×C43C2311yescharacteristic
456C4×D4×C43—21no—
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#106×C43C2311yescharacteristic
466#106×C43C2311yescharacteristic
467#106×C43C2311yescharacteristic
468#106×C43C2311yescharacteristic
469#106×C43C2311yescharacteristic
470#106×C43C2311yescharacteristic
471C4⋊C8×C43C2311yescharacteristic
472#103×C43C2311yescharacteristic
473#103×C43C2311yescharacteristic
474#103×C43C2311yescharacteristic
475#103×C43C2311yescharacteristic
476#103×C43C2311yescharacteristic
477#103×C43C2311yescharacteristic
478C22⋊C8×C43C2311yescharacteristic
479C22⋊C8×C43C2311yescharacteristic
480C4×C8×C43C2311yescharacteristic
481C23×D43C2×D411yescharacteristic
482C2×Q8×C43—21no—
483C2×Q8×C43—21no—
484C2×Q8×C43C2411yescharacteristic
485C2×Q8×C43C2411yescharacteristic
486C2×D4×C43C2×D411yescharacteristic
487C22×C4×C43—21no—
488C22×C4×C43—21no—
489C22×C4×C43C2411yescharacteristic
490C22×C4×C43C2411yescharacteristic
491C2×C22⋊D43—21no—
492C2×C22⋊D43—21no—
493C2×C22⋊D43—21no—
494C2×C22⋊D43—21no—
495C2×C22⋊D43C2×D411yescharacteristic
496C2×C22⋊D43C2×D411yescharacteristic
497C2×C22⋊D43C2×D411yescharacteristic
498C2×C22⋊D43C2×D411yescharacteristic
499C22×Dic43—21no—
500C22×Dic43—21no—
501C22×Dic43C2×D411yescharacteristic
502#10621902—22no—
503#10621902—22no—
504#10621902—22no—
505#10621902—22no—
506#10621902—82no—
507#10621898—22no—
508#10621898—22no—
509#10621898—82no—
510C2×D172—21no—
511C2×D172—21no—
512C2×D172—21no—
513C2×D172—21no—
514C2×D172—21no—
515C2×D172—21no—
516C2×D172C2×D411yescharacteristic
517C2×D172C2×D411yescharacteristic
518C2×D172C2411yescharacteristic
519C2×D172C2411yescharacteristic
520C2×C4×D43—22no—
521C2×C4×D43—22no—
522C2×C4×D43—21no—
523C2×C4×D43—21no—
524C2×C4×D43—21no—
525C2×C4×D43—21no—
526C2×C4×D43—21no—
527C2×C4×D43—21no—
528C2×C4×D43—21no—
529C2×C4×D43—21no—
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—82no—
537C2×C4×D43C2×D411yescharacteristic
538C2×C4×D43C2×D411yescharacteristic
539C2×C4×D43C2411yescharacteristic
540C2×C4×D43C2411yescharacteristic
541C2×C4×D43C2411yescharacteristic
542C2×Dic86—21no—
543C2×Dic86—21no—
544C2×Dic86C2×D411yescharacteristic
545Q16×C43—22no—
546M16×C43—22no—
547M16×C43—22no—
548C2×C8×C43C2411yescharacteristic
549C2×C8×C43C2411yescharacteristic
550C2×C8×C43C2411yescharacteristic
551C2×C8×C43C2411yescharacteristic
552C4⋊C4×C43—21no—
553C4⋊C4×C43—21no—
554C4⋊C4×C43—21no—
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×C43C2×D411yescharacteristic
576C22⋊C4×C43C2×D411yescharacteristic
577C42×C43—21no—
578C42×C43—21no—
579C42×C43—21no—
580C42×C43—21no—
581C42×C43C2411yescharacteristic
582C22⋊Dic43—21no—
583C22⋊Dic43—21no—
584C22⋊Dic43C2×D411yescharacteristic
585C22⋊Dic43C2×D411yescharacteristic
586#10621884—22no—
587#10621884—22no—
588(C2×D43)⋊C4—21no—
589(C2×D43)⋊C4—21no—
590(C2×D43)⋊C4—21no—
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)⋊C4C2×D411yescharacteristic
611(C2×D43)⋊C4C2×D411yescharacteristic
612(C2×D43)⋊C4C2×D411yescharacteristic
613(C2×D43)⋊C4C2×D411yescharacteristic
614(C2×D43)⋊C4C2×D411yescharacteristic
615(C2×D43)⋊C4C2×D411yescharacteristic
616C4⋊Dic43—21no—
617C4⋊Dic43—21no—
618C4⋊Dic43—21no—
619C4⋊Dic43—21no—
620C4⋊Dic43—21no—
621C4⋊Dic43—21no—
622C4⋊Dic43C2×D411yescharacteristic
623C4⋊Dic43C2411yescharacteristic
624C4⋊Dic43C2411yescharacteristic
625C4⋊Dic43C2411yescharacteristic
626C4⋊Dic43C2411yescharacteristic
627C4⋊Dic43C2411yescharacteristic
628C4⋊Dic43C2411yescharacteristic
629Dic43⋊C4—21no—
630Dic43⋊C4—21no—
631Dic43⋊C4—21no—
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⋊C4—21no—
648Dic43⋊C4—21no—
649Dic43⋊C4C2×D411yescharacteristic
650Dic43⋊C4C2×D411yescharacteristic
651Dic43⋊C4C2×D411yescharacteristic
652Dic43⋊C4C2×D411yescharacteristic
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—22no—
674#10621872—22no—
675#10621872—22no—
676C8×D43—22no—
677C8×D43—22no—
678C8×D43#4114yescomplemented
679C23×C43C22×D411yescharacteristic
680C23×C43C22×D411yescharacteristic
681C22×D43—22no—
682C22×D43—21no—
683C22×D43—21no—
684C22×D43—41no—
685C22×D43—41no—
686C22×D43C22×D411yescharacteristic
687C22×D43C22×D411yescharacteristic
688C22×D43C22×D411yescharacteristic
689Q8×C43—21no—
690Q8×C43—21no—
691Q8×C43—21no—
692Q8×C43—21no—
693Q8×C43—81no—
694Q8×C43—81no—
695D4×C43—41no—
696C2×C4×C43—21no—
697C2×C4×C43—21no—
698C2×C4×C43—21no—
699C2×C4×C43—21no—
700C2×C4×C43—21no—
701C2×C4×C43—21no—
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—81no—
709C2×C4×C43—81no—
710C2×C4×C43C22×D411yescharacteristic
711C2×C4×C43C22×D411yescharacteristic
712C2×C4×C43C22×D411yescharacteristic
713C2×C4×C43C22×D411yescharacteristic
714C2×C4×C43C2511yescharacteristic
715C22⋊D43—22no—
716C22⋊D43—22no—
717C22⋊D43—41no—
718C22⋊D43—41no—
719C22⋊D43—42no—
720C22⋊D43—81no—
721C22⋊D43—81no—
722C22⋊D43—81no—
723C2×Dic43—22no—
724C2×Dic43—21no—
725C2×Dic43—21no—
726C2×Dic43—21no—
727C2×Dic43—21no—
728C2×Dic43—21no—
729C2×Dic43—21no—
730C2×Dic43—81no—
731C2×Dic43—81no—
732C2×Dic43C22×D411yescharacteristic
733C2×Dic43C22×D411yescharacteristic
734C2×Dic43C22×D411yescharacteristic
735C2×Dic43C22×D411yescharacteristic
736C2×Dic43C22×D411yescharacteristic
737D172—22no—
738D172—21no—
739D172—21no—
740D172—21no—
741D172—21no—
742D172—41no—
743D172—42no—
744D172—42no—
745D172—42no—
746D172—81no—
747D172—81no—
748D172—81no—
749C4×D43—22no—
750C4×D43—21no—
751C4×D43—21no—
752C4×D43—21no—
753C4×D43—21no—
754C4×D43—22no—
755C4×D43—42no—
756C4×D43—42no—
757C4×D43—42no—
758C4×D43—42no—
759C4×D43—81no—
760C4×D43—81no—
761C4×D43—81no—
762C4×D43—81no—
763C4×D43—81no—
764C4×D43—81no—
765C4×D43—81no—
766C4×D43—81no—
767C4×D43—81no—
768C4×D43—81no—
769C4×D43C2×#4112yes—
770C4×D432−1+412yes—
771Dic86—22no—
772Dic86—81no—
773Dic86—81no—
774C8×C43—21no—
775C8×C43—21no—
776C8×C43—21no—
777C8×C43C2×#4112yes—
778C43⋊C8—21no—
779C43⋊C8—21no—
780C43⋊C8—21no—
781C43⋊C8C2×#4112yes—
782#61266—431nomaximal, Sylow
783C22×C43—21no—
784C22×C43—21no—
785C22×C43—21no—
786C22×C43—21no—
787C22×C43—21no—
788C22×C43—21no—
789C22×C43C23×D411yescharacteristic
790C2×D43—21no—
791C2×D43—21no—
792C2×D43—21no—
793C2×D43—21no—
794C2×D43—21no—
795C2×D43—21no—
796C2×D43—21no—
797C2×D43—21no—
798C2×D43—44no—
799C2×D43—41no—
800C2×D43—41no—
801C2×D43—41no—
802C2×D43—41no—
803C2×D43—41no—
804C2×D43—41no—
805C2×D43#54712yes—
806C4×C43—21no—
807C4×C43—21no—
808C4×C43—21no—
809C4×C43—21no—
810C4×C43—41no—
811C4×C43—41no—
812C4×C43—41no—
813C4×C43—41no—
814C4×C43—41no—
815C4×C43—41no—
816C4×C43—41no—
817C4×C43—41no—
818C4×C43C22×#4111yescharacteristic
819C4×C43C2×2−1+411yescharacteristic
820Dic43—21no—
821Dic43—21no—
822Dic43—21no—
823Dic43—21no—
824Dic43—41no—
825Dic43—41no—
826Dic43—41no—
827Dic43—41no—
828Dic43—41no—
829Dic43—41no—
830Dic43#54712yes—
831#3493—431no—
832#3492—431no—
833#3356—431no—
834#3356D4311yescharacteristic, complemented
835#3355—431no—
836#3355—431no—
837#3354—431no—
838#3354—431no—
839#3352—431no—
840#3352—431no—
841#3350—431no—
842#3350—431no—
843#3348—431no—
844#3348—431no—
845#3346—431no—
846#3346—431no—
847#3343—431no—
848#3343—431no—
849#3163—431no—
850#3099—431no—
851#3098—431no—
852#3093—431no—
853#3092—431no—
854#3084—431no—
855#3083—431no—
856#3060—431no—
857#3054—431no—
858#2951—431no—
859#2930—431no—
860#2913—431no—
861C2×#428—431no—
862C2×C43—41no—
863C2×C43—41no—
864C2×C43C2×#54711yescharacteristic
865C2×C43#358511yescharacteristic
866C2×C43#358611yescharacteristic
867D43—22no—
868D43—41no—
869D43—41no—
870D43—81no—
871D43—81no—
872C2×#135—431no—
873C2×#131—431no—
874C22×M16—431no—
875#556—431no—
876#556—861no—
877#556C2×D4311yescharacteristic
878#555—431no—
879#555—431no—
880#555—861no—
881#554—431no—
882#554—861no—
883#554C2×D4311yescharacteristic
884#553—431no—
885#553—431no—
886#553—431no—
887#553—431no—
888#553—861no—
889#553—861no—
890#552—431no—
891#552—431no—
892#552—431no—
893#552—431no—
894#552—861no—
895#552—861no—
896#547—431no—
897#547—431no—
898#547—861no—
899#544—431no—
900#544—431no—
901#539—861no—
902#539—861no—
903#538—861no—
904#538—861no—
905#537—431no—
906#537—431no—
907#529—861no—
908#529—861no—
909#525—431no—
910#525—431no—
911#525—431no—
912#525—861no—
913#525—861no—
914#520—431no—
915#520—431no—
916#520—431no—
917#520—431no—
918C2×#117—431no—
919C22×C4⋊C4—431no—
920#501—431no—
921#501—431no—
922#501—431no—
923#501—431no—
924#499—431no—
925#499—431no—
926#498—431no—
927#498C2×D4311yescharacteristic, complemented
928#485—431no—
929#485—431no—
930#485—431no—
931#485—431no—
932#485—431no—
933#485—431no—
934#485C2×D4311yescharacteristic
935#485C2×D4311yescharacteristic, complemented
936#484—431no—
937#484—431no—
938#484—431no—
939#484—431no—
940#483—431no—
941#483—431no—
942#483C2×D4311yescharacteristic
943#483C2×D4311yescharacteristic, complemented
944#482—431no—
945#482—431no—
946#482—431no—
947#482—431no—
948#482—431no—
949#482—431no—
950#482—431no—
951#482—431no—
952#481—431no—
953#481—431no—
954#481—431no—
955#481—431no—
956#480—431no—
957#480—431no—
958#480—431no—
959#480—431no—
960#479—431no—
961#479—431no—
962#479—431no—
963#479—431no—
964#478—431no—
965#478—431no—
966#478—431no—
967#478—431no—
968#477—431no—
969#477C2×D4311yescharacteristic, complemented
970#476—431no—
971#476—431no—
972#475—431no—
973#475C2×D4311yescharacteristic, complemented
974#474—431no—
975#474—431no—
976#470—431no—
977#470—431no—
978#470C2×D4311yescharacteristic
979#470C2×D4311yescharacteristic, complemented
980#469—431no—
981#469—431no—
982#469—431no—
983#469—431no—
984#468—431no—
985#468—431no—
986#468—431no—
987#468—431no—
988#465—431no—
989#465—431no—
990#465—431no—
991#465—431no—
992#440—431no—
993#440—431no—
994#440—431no—
995#440—431no—
996C4×Q16—431no—
997C4×Q16C2×D4311yescharacteristic, complemented
998C4×D8—431no—
999C4×D8—431no—
1000#436—431no—
1001#436—431no—
1002#436—431no—
1003#436C2×D4311yescharacteristic
1004#435—431no—
1005#435—431no—
1006#435—431no—
1007#435—431no—
1008#428—431no—
1009#428—431no—
1010#428—431no—
1011#428—431no—
1012#428—431no—
1013#428—431no—
1014#428—431no—
1015#428—431no—
1016#428—431no—
1017#428—431no—
1018#428—431no—
1019#428—431no—
1020#428—431no—
1021#428—431no—
1022#428C2×D4311yescharacteristic
1023#428C2×D4311yescharacteristic, complemented
1024#427—431no—
1025#427—431no—
1026#427—431no—
1027C2×#107—431no—
1028C2×#107—431no—
1029C2×#107—431no—
1030C2×#107—431no—
1031C2×#106—431no—
1032C2×#106—431no—
1033#424—431no—
1034#417—431no—
1035#417—431no—
1036#417—431no—
1037#417—431no—
1038#416—431no—
1039#416—431no—
1040#408—431no—
1041#407—431no—
1042#405—431no—
1043C43#6126611yescharacteristic, complemented, Sylow
1044C2×#41—431no—
1045C2×#41—431no—
1046C2×#41—431no—
1047C2×#41—861no—
1048C2×#41—861no—
1049C23×C4—431no—
1050C23×C4—861no—
1051#135—864no—
1052C2×Q16C22×D4311yescharacteristic
1053C2×SD16—431no—
1054C2×SD16—431no—
1055C2×D8—431no—
1056#131—864no—
1057C2×M16—431no—
1058C2×M16—431no—
1059C2×M16—431no—
1060C2×M16—431no—
1061C2×M16—431no—
1062C2×M16—431no—
1063C2×M16—864no—
1064C2×M16C22×D4311yescharacteristic
1065C2×M16C22×D4311yescharacteristic
1066C22×C8—431no—
1067C22×C8—431no—
1068C22×C8—431no—
1069C22×C8—431no—
1070C4⋊Q8—431no—
1071C4⋊Q8—431no—
1072C4⋊Q8—861no—
1073C4⋊Q8—861no—
1074C4⋊Q8C22×D4311yescharacteristic
1075C4⋊Q8C22×D4311yescharacteristic
1076#126—21no—
1077#126—21no—
1078#126—861no—
1079#126—861no—
1080#126—861no—
1081#126—861no—
1082#126—861no—
1083#126—861no—
1084#126—861no—
1085#126—861no—
1086#126—861no—
1087#126—861no—
1088#125—21no—
1089#125—431no—
1090#125—431no—
1091#125—431no—
1092#125—431no—
1093#125—861no—
1094#125—861no—
1095#125—861no—
1096#125—861no—
1097#125—861no—
1098#125—861no—
1099#125—861no—
1100#124—21no—
1101#124—861no—
1102#124—861no—
1103#124—861no—
1104#124—861no—
1105#124—861no—
1106#123—431no—
1107#123—431no—
1108#123—861no—
1109#123—861no—
1110#123—861no—
1111#123—861no—
1112#123—861no—
1113#123—861no—
1114#123—861no—
1115#123—861no—
1116#123—861no—
1117#123—861no—
1118#123—861no—
1119#123—861no—
1120#123—861no—
1121#123—861no—
1122C22⋊Q8—21no—
1123C22⋊Q8—21no—
1124C22⋊Q8—431no—
1125C22⋊Q8—431no—
1126C22⋊Q8—431no—
1127C22⋊Q8—431no—
1128C22⋊Q8—431no—
1129C22⋊Q8—431no—
1130C22⋊Q8—861no—
1131C22⋊Q8—861no—
1132C22⋊Q8—861no—
1133C22⋊Q8—861no—
1134C22⋊Q8—861no—
1135C22⋊Q8—861no—
1136C22⋊Q8—861no—
1137C22⋊Q8—861no—
1138C22⋊Q8—861no—
1139C22⋊Q8—861no—
1140C22⋊Q8C22×D4311yescharacteristic
1141C22⋊Q8C22×D4311yescharacteristic
1142C22⋊Q8C22×D4311yescharacteristic
1143C22⋊Q8C22×D4311yescharacteristic
1144#121—431no—
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—861no—
1155#121—861no—
1156#121—861no—
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#120—431no—
1167#120—431no—
1168#120—861no—
1169#120—861no—
1170C4×Q8—21no—
1171C4×Q8—431no—
1172C4×Q8—431no—
1173C4×Q8—861no—
1174C4×Q8—861no—
1175C4×Q8—861no—
1176C4×Q8C22×D4311yescharacteristic
1177C4×Q8C22×D4311yescharacteristic
1178C4×D4—21no—
1179C4×D4—431no—
1180C4×D4—431no—
1181C4×D4—431no—
1182C4×D4—431no—
1183C4×D4—431no—
1184C4×D4—431no—
1185C4×D4—431no—
1186C4×D4—861no—
1187C4×D4—861no—
1188C4×D4—861no—
1189C4×D4—861no—
1190C4×D4—861no—
1191C4×D4—861no—
1192C4×D4—861no—
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×D4C22×D4311yescharacteristic
1206#117—431no—
1207#117—431no—
1208#117—431no—
1209#117—431no—
1210#117—431no—
1211#117—431no—
1212#117—431no—
1213#117—431no—
1214#117—431no—
1215#117—861no—
1216#117—861no—
1217#117—861no—
1218#117—861no—
1219#117—861no—
1220#117—861no—
1221#117—861no—
1222#117—861no—
1223#117—861no—
1224#117—861no—
1225#117C22×D4311yescharacteristic
1226#117C22×D4311yescharacteristic
1227C2×C4⋊C4—431no—
1228C2×C4⋊C4—431no—
1229C2×C4⋊C4—431no—
1230C2×C4⋊C4—431no—
1231C2×C4⋊C4—431no—
1232C2×C4⋊C4—431no—
1233C2×C4⋊C4—431no—
1234C2×C4⋊C4—431no—
1235C2×C4⋊C4—431no—
1236C2×C4⋊C4—431no—
1237C2×C4⋊C4—861no—
1238C2×C4⋊C4—861no—
1239C2×C4⋊C4—861no—
1240C2×C4⋊C4—861no—
1241C2×C4⋊C4—861no—
1242C2×C4⋊C4C22×D4311yescharacteristic
1243C2×C4⋊C4C22×D4311yescharacteristic
1244C2×C22⋊C4—861no—
1245C2×C42—861no—
1246#107—431no—
1247#107—431no—
1248#107—431no—
1249#107—431no—
1250#107—431no—
1251#107—431no—
1252#107—431no—
1253#107—431no—
1254#107—431no—
1255#107—431no—
1256#107—431no—
1257#107—431no—
1258#107—431no—
1259#107—431no—
1260#107—431no—
1261#107C22×D4311yescharacteristic
1262#107C22×D4311yescharacteristic
1263#107C22×D4311yescharacteristic
1264#106—431no—
1265#106—431no—
1266#106—431no—
1267#106—431no—
1268#106—431no—
1269#106—431no—
1270#106—431no—
1271#106—431no—
1272#106—431no—
1273#106—431no—
1274#106—431no—
1275#106—431no—
1276#106C22×D4311yescharacteristic
1277#106C22×D4311yescharacteristic
1278#106C22×D4311yescharacteristic
1279#106C22×D4311yescharacteristic
1280#106C22×D4311yescharacteristic
1281#106C22×D4311yescharacteristic
1282C4⋊C8—431no—
1283C4⋊C8—431no—
1284C4⋊C8—431no—
1285C4⋊C8C22×D4311yescharacteristic
1286#103—431no—
1287#103—431no—
1288#103—431no—
1289#103—431no—
1290#103—431no—
1291#103—431no—
1292#103C22×D4311yescharacteristic
1293#103C22×D4311yescharacteristic
1294#103C22×D4311yescharacteristic
1295#103C22×D4311yescharacteristic
1296#103C22×D4311yescharacteristic
1297#103C22×D4311yescharacteristic
1298#102—431no—
1299#102—431no—
1300#102—431no—
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—
1310C22⋊C8—431no—
1311C22⋊C8—431no—
1312C22⋊C8—431no—
1313C22⋊C8—431no—
1314C22⋊C8—431no—
1315C22⋊C8—431no—
1316C22⋊C8C22×D4311yescharacteristic
1317C22⋊C8C22×D4311yescharacteristic
1318#97—431no—
1319#97—431no—
1320C4×C8—431no—
1321C4×C8C22×D4311yescharacteristic
1322C24—431no—
1323#41—862no—
1324#41—862no—
1325#41—862no—
1326#41—862no—
1327#41—862no—
1328#41—862no—
1329#41—3442no—
1330#41—3442no—
1331C2×Q8—21no—
1332C2×Q8—21no—
1333C2×Q8—431no—
1334C2×Q8—861no—
1335C2×Q8—861no—
1336C2×Q8C23×D4311yescharacteristic
1337C2×Q8C23×D4311yescharacteristic
1338C2×D4—431no—
1339C2×D4—431no—
1340C2×D4—431no—
1341C2×D4—431no—
1342C2×D4—431no—
1343C2×D4—431no—
1344C2×D4—431no—
1345C2×D4—431no—
1346C2×D4—861no—
1347C2×D4—861no—
1348C2×D4—861no—
1349C2×D4—861no—
1350C2×D4—861no—
1351C2×D4—861no—
1352C2×D4—861no—
1353C2×D4—861no—
1354C2×D4—861no—
1355C2×D4—861no—
1356C2×D4D4×D4311yescharacteristic
1357C22×C4—21no—
1358C22×C4—21no—
1359C22×C4—431no—
1360C22×C4—431no—
1361C22×C4—431no—
1362C22×C4—431no—
1363C22×C4—431no—
1364C22×C4—431no—
1365C22×C4—862no—
1366C22×C4—862no—
1367C22×C4—861no—
1368C22×C4—861no—
1369C22×C4—861no—
1370C22×C4—861no—
1371C22×C4—861no—
1372C22×C4—861no—
1373C22×C4—861no—
1374C22×C4—861no—
1375C22×C4—861no—
1376C22×C4—861no—
1377C22×C4—861no—
1378C22×C4—861no—
1379C22×C4—861no—
1380C22×C4—861no—
1381C22×C4—861no—
1382C22×C4—861no—
1383C22×C4—3442no—
1384C22×C4C23×D4311yescharacteristic
1385C22×C4C23×D4311yescharacteristic
1386Q16—22no—
1387SD16—862no—
1388SD16—862no—
1389D8—862no—
1390M16—22no—
1391M16—22no—
1392M16—862no—
1393M16—862no—
1394M16—862no—
1395M16—862no—
1396M16—862no—
1397M16—862no—
1398C2×C8—431no—
1399C2×C8—434no—
1400C2×C8—431no—
1401C2×C8—431no—
1402C2×C8—431no—
1403C2×C8—862no—
1404C2×C8—862no—
1405C2×C8—862no—
1406C2×C8C23×D4311yescharacteristic
1407C2×C8C23×D4311yescharacteristic
1408C2×C8C23×D4311yescharacteristic
1409C2×C8C23×D4311yescharacteristic
1410C4⋊C4—21no—
1411C4⋊C4—21no—
1412C4⋊C4—21no—
1413C4⋊C4—21no—
1414C4⋊C4—21no—
1415C4⋊C4—21no—
1416C4⋊C4—21no—
1417C4⋊C4—21no—
1418C4⋊C4—21no—
1419C4⋊C4—21no—
1420C4⋊C4—431no—
1421C4⋊C4—431no—
1422C4⋊C4—431no—
1423C4⋊C4—431no—
1424C4⋊C4—431no—
1425C4⋊C4—431no—
1426C4⋊C4—431no—
1427C4⋊C4—431no—
1428C4⋊C4—431no—
1429C4⋊C4—431no—
1430C4⋊C4—431no—
1431C4⋊C4—861no—
1432C4⋊C4—861no—
1433C4⋊C4—861no—
1434C4⋊C4—861no—
1435C4⋊C4—861no—
1436C4⋊C4—861no—
1437C4⋊C4—861no—
1438C4⋊C4—861no—
1439C4⋊C4—861no—
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⋊C4D4×D4311yescharacteristic
1458C4⋊C4C23×D4311yescharacteristic
1459C4⋊C4C23×D4311yescharacteristic
1460C4⋊C4C23×D4311yescharacteristic
1461C4⋊C4C23×D4311yescharacteristic
1462C4⋊C4C23×D4311yescharacteristic
1463C4⋊C4C23×D4311yescharacteristic
1464C22⋊C4—21no—
1465C22⋊C4—21no—
1466C22⋊C4—21no—
1467C22⋊C4—21no—
1468C22⋊C4—21no—
1469C22⋊C4—21no—
1470C22⋊C4—431no—
1471C22⋊C4—431no—
1472C22⋊C4—431no—
1473C22⋊C4—431no—
1474C22⋊C4—431no—
1475C22⋊C4—431no—
1476C22⋊C4—431no—
1477C22⋊C4—431no—
1478C22⋊C4—861no—
1479C22⋊C4—861no—
1480C22⋊C4—861no—
1481C22⋊C4—861no—
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⋊C4D4×D4311yescharacteristic
1503C22⋊C4D4×D4311yescharacteristic
1504C42—21no—
1505C42—21no—
1506C42—21no—
1507C42—21no—
1508C42—431no—
1509C42—861no—
1510C42—861no—
1511C42—861no—
1512C42—861no—
1513C42—861no—
1514C42—861no—
1515C42—861no—
1516C42—861no—
1517C42—861no—
1518C42—861no—
1519C42C23×D4311yescharacteristic
1520C23—431no—
1521C23—431no—
1522C23—431no—
1523C23—862no—
1524C23—861no—
1525C23—861no—
1526C23—1721no—
1527C23—1721no—
1528C23C2×D4×D4311yescharacteristic
1529C23C2×D4×D4311yescharacteristic
1530Q8—21no—
1531Q8—21no—
1532Q8—21no—
1533Q8—21no—
1534Q8—81no—
1535Q8—81no—
1536Q8—862no—
1537Q8—3441no—
1538Q8—3441no—
1539D4—41no—
1540D4—862no—
1541D4—862no—
1542D4—862no—
1543D4—861no—
1544D4—861no—
1545D4—861no—
1546D4—861no—
1547D4—3441no—
1548D4—3441no—
1549D4—3441no—
1550D4—3441no—
1551D4—3441no—
1552D4—3441no—
1553D4—1721no—
1554D4—1722no—
1555D4—1722no—
1556D4—1722no—
1557D4—1721no—
1558D4—1721no—
1559D4—1722no—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—21no—
1564C2×C4—21no—
1565C2×C4—21no—
1566C2×C4—21no—
1567C2×C4—21no—
1568C2×C4—21no—
1569C2×C4—21no—
1570C2×C4—21no—
1571C2×C4—21no—
1572C2×C4—81no—
1573C2×C4—81no—
1574C2×C4—431no—
1575C2×C4—432no—
1576C2×C4—432no—
1577C2×C4—431no—
1578C2×C4—431no—
1579C2×C4—431no—
1580C2×C4—431no—
1581C2×C4—862no—
1582C2×C4—862no—
1583C2×C4—862no—
1584C2×C4—861no—
1585C2×C4—861no—
1586C2×C4—861no—
1587C2×C4—861no—
1588C2×C4—861no—
1589C2×C4—861no—
1590C2×C4—861no—
1591C2×C4—861no—
1592C2×C4—861no—
1593C2×C4—861no—
1594C2×C4—3441no—
1595C2×C4—3441no—
1596C2×C4—3441no—
1597C2×C4—3441no—
1598C2×C4—3441no—
1599C2×C4—3441no—
1600C2×C4—3441no—
1601C2×C4—3441no—
1602C2×C4—3441no—
1603C2×C4—3441no—
1604C2×C4—3441no—
1605C2×C4—3441no—
1606C2×C4—1722no—
1607C2×C4—1722no—
1608C2×C4—1722no—
1609C2×C4—1722no—
1610C2×C4C2×D4×D4311yescharacteristic
1611C2×C4C2×D4×D4311yescharacteristic
1612C2×C4C2×D4×D4311yescharacteristic
1613C2×C4C2×D4×D4311yescharacteristic
1614C2×C4C24×D4311yescharacteristic
1615C8—21no—
1616C8—21no—
1617C8—21no—
1618C8—432no—
1619C8—861no—
1620C8—861no—
1621C8—861no—
1622C8#41×D4312yes—
1623C22—21no—
1624C22—21no—
1625C22—21no—
1626C22—21no—
1627C22—21no—
1628C22—21no—
1629C22—432no—
1630C22—861no—
1631C22—861no—
1632C22—861no—
1633C22—861no—
1634C22—861no—
1635C22—861no—
1636C22—861no—
1637C22—861no—
1638C22—1724no—
1639C22—1721no—
1640C22—1721no—
1641C22—1721no—
1642C22—1721no—
1643C22—1721no—
1644C22—1721no—
1645C22C22×D4×D4311yescharacteristic
1646C4—21no—
1647C4—21no—
1648C4—21no—
1649C4—21no—
1650C4—41no—
1651C4—41no—
1652C4—41no—
1653C4—41no—
1654C4—41no—
1655C4—41no—
1656C4—41no—
1657C4—41no—
1658C4—432no—
1659C4—861no—
1660C4—861no—
1661C4—861no—
1662C4—861no—
1663C4—1721no—
1664C4—1721no—
1665C4—1721no—
1666C4—1721no—
1667C4—1721no—
1668C4—1721no—
1669C4C2×#41×D4311yescharacteristic
1670C42−1+4×D4311yescharacteristic
1671C2—41no—
1672C2—41no—
1673C2—862no—
1674C2—3441no—
1675C2—3441no—
1676C2—1721no—
1677C2—1721no—
1678C2#547×D4311yescharacteristic
1679C2#1914937311yescharacteristic
1680C2#1914937811yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3356C2
socleC22×C43C23×D4
hypercenter#3356D43
hypocenterC43#61266
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3356

Complements

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

NH ≅ G/Ntype
1. #19148309C2semidirect
2. #19148303C2semidirect
3. #19147205C2semidirect
4. #19147200C2semidirect
5. #19147197C2semidirect
6. #19147189C2semidirect
7. #19147186C2semidirect
8. #19147171C2semidirect
9. #19147165C2semidirect
10. #19147143C2semidirect
11. #19147140C2semidirect
12. #19147117C2semidirect
13. #19147114C2semidirect
14. #19147074C2semidirect
15. #19147073C2semidirect
16. #19147033C2semidirect
17. #19147032C2semidirect
18. #19145120C2semidirect
19. #19144579C2semidirect
20. #19144576C2semidirect
21. #19144527C2semidirect
22. #19144519C2semidirect
23. #19144454C2semidirect
24. #19144443C2semidirect
25. #19144259C2semidirect
26. #19144206C2semidirect
27. #19143470C2semidirect
28. #19143295C2semidirect
29. #19143194C2semidirect
30. #428×D43C2semidirect
31. C43×#3356C2semidirect
78. #14583306C22semidirect
79. #14583306C22semidirect
80. #14583305C22semidirect
81. #14583305C22semidirect
82. #14583301C22semidirect
83. #14583299C22semidirect
84. #14583296C22semidirect
86. #14583239C22semidirect
87. #14583239C22semidirect
90. #14583237C22semidirect
93. #14583233C22semidirect
94. #14583232C22semidirect
95. #14583228C22semidirect
99. #14583225C22semidirect
100. #14583225C22semidirect
102. #14583224C22semidirect
104. #14583223C22semidirect
107. #14583219C22semidirect
108. #14583217C22semidirect
109. #14583214C22semidirect
111. #14583213C22semidirect
113. #14583208C22semidirect
114. #14583206C22semidirect
115. #14583206C22semidirect
116. #14583204C22semidirect
117. #14583202C22semidirect
118. #14583200C22semidirect
119. #14583200C22semidirect
120. #14583198C22semidirect
121. #14583192C22semidirect
122. #14583188C22semidirect
123. #14583186C22semidirect
124. #14583182C22semidirect
125. #14583178C22semidirect
126. #14583176C22semidirect
128. #14583154C22semidirect
130. #14583153C22semidirect
132. #14583152C22semidirect
137. #14583131C22semidirect
138. #14583131C22semidirect
139. #14583130C22semidirect
140. #14583130C22semidirect
141. #14583002C22semidirect
142. #14583002C22semidirect
143. #14582997C22semidirect
144. #14582997C22semidirect
145. Q16×Dic43C22semidirect
146. C4×D344C22semidirect
147. #14582981C22semidirect
157. #14582941C22semidirect
161. #14582940C22semidirect
168. #14582938C22semidirect
169. #14582935C22semidirect
171. #14582934C22semidirect
172. C2×#13063258C22semidirect
175. #107×D43C22semidirect
190. C43×#498C22semidirect
192. C43×#485C22semidirect
194. C43×#483C22semidirect
195. C43×#477C22semidirect
196. C43×#475C22semidirect
198. C43×#470C22semidirect
199. C4×Q16×C43C22semidirect
202. C43×#428C22semidirect
678. C8×D43#41semidirect
834. #3356D43semidirect
927. #498C2×D43semidirect
935. #485C2×D43semidirect
943. #483C2×D43semidirect
969. #477C2×D43semidirect
973. #475C2×D43semidirect
979. #470C2×D43semidirect
997. C4×Q16C2×D43semidirect
1023. #428C2×D43semidirect
1043. C43#61266semidirect

Maximal subgroups

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

subgroupindex
#191483092
#191483032
#191472052
#191472002
#191471972
#191471892
#191471862
#191471712
#191471652
#191471432
#191471402
#191471172
#191471142
#191470742
#191470732
#191470332
#191470322
#191451202
#191445792
#191445762
#191445272
#191445192
#191444542
#191444432
#191442592
#191442062
#191434702
#191432952
#191431942
#428×D432
C43×#33562
#6126643