Finite Group Databasebeta

← #25975505

Subgroups — #25975505

Order 11008.

1866 conjugacy classes of subgroups.

The subgroup lattice has 1696 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19148299C211yesmaximal, characteristic, complemented
2#19148297C211yesmaximal, characteristic, complemented
3#19147071C211yesmaximal, characteristic, complemented
4#19147070C211yesmaximal, characteristic, complemented
5#19147060C211yesmaximal, characteristic, complemented
6#19147052C211yesmaximal, characteristic, complemented
7#19147051C211yesmaximal, characteristic, complemented
8#19147049C211yesmaximal, characteristic, complemented
9#19147046C211yesmaximal, characteristic, complemented
10#19146981C211yesmaximal, characteristic, complemented
11#19146978C211yesmaximal, characteristic, complemented
12#19146968C211yesmaximal, characteristic, complemented
13#19146967C211yesmaximal, characteristic, complemented
14#19146952C211yesmaximal, characteristic, complemented
15#19146950C211yesmaximal, characteristic, complemented
16#19146950C211yesmaximal, characteristic, complemented
17#19146949C211yesmaximal, characteristic, complemented
18#19145122C211yesmaximal, characteristic, complemented
19#19144587C211yesmaximal, characteristic, complemented
20#19144585C211yesmaximal, characteristic, complemented
21#19144517C211yesmaximal, characteristic, complemented
22#19144514C211yesmaximal, characteristic, complemented
23#19144458C211yesmaximal, characteristic, complemented
24#19144452C211yesmaximal, characteristic, complemented
25#19144255C211yesmaximal, characteristic, complemented
26#19144174C211yesmaximal, characteristic, complemented
27#19143477C211yesmaximal, characteristic, complemented
28#19143286C211yesmaximal, characteristic, complemented
29#19143189C211yesmaximal, characteristic, complemented
30C2×#106×D43C211yesmaximal, characteristic, complemented
31C43×#3345C211yesmaximal, characteristic, complemented
32C2×#13063344C2211yescharacteristic
33C2×#13063333C2211yescharacteristic
34C22×C8×D43C2211yescharacteristic
35#14583610C2211yescharacteristic
36#14583608—21no—
37#14583606C2211yescharacteristic
38#14583604C2211yescharacteristic
39#14583604C2211yescharacteristic
40#14583603—21no—
41#14583601C2211yescharacteristic
42#14583599C2211yescharacteristic
43#14583596C2211yescharacteristic
44#14583594—21no—
45#14583592—21no—
46#14583589C2211yescharacteristic
47#14583588C2211yescharacteristic
48#14583587C2211yescharacteristic
49#14583586—21no—
50#14583585—21no—
51#14583584C2211yescharacteristic
52#14583554C2211yescharacteristic
53#14583549C2211yescharacteristic
54#14583549C2211yescharacteristic
55#14583548—21no—
56#14583547—21no—
57#14583529C2211yescharacteristic
58#14583526C2211yescharacteristic
59#14583495—21no—
60#14583492—21no—
61#14583492—21no—
62#14583490—21no—
63#14583478C2211yescharacteristic
64#14583478C2211yescharacteristic
65#14583409—21no—
66#14583409C2211yescharacteristic
67#14583409C2211yescharacteristic
68#14583408—21no—
69#14583408C2211yescharacteristic
70#14583407—21no—
71#14583406—21no—
72#14583380C2211yescharacteristic
73#14583379C2211yescharacteristic
74#14583378C2211yescharacteristic
75#14583378C2211yescharacteristic
76C2×C4⋊C4×D43C2211yescharacteristic
77C2×C4⋊C4×D43C2211yescharacteristic
78#14583308C2211yescharacteristic, complemented
79#14583307C2211yescharacteristic, complemented
80#14583306C2211yescharacteristic, complemented
81#14583300C2211yescharacteristic, complemented
82#14583298C2211yescharacteristic, complemented
83#14583296C2211yescharacteristic, complemented
84#14583295C2211yescharacteristic, complemented
85#14583243C2211yescharacteristic, complemented
86#14583242C2211yescharacteristic, complemented
87#14583241C2211yescharacteristic, complemented
88#14583240C2211yescharacteristic, complemented
89#14583236C2211yescharacteristic
90#14583236C2211yescharacteristic
91#14583235C2211yescharacteristic
92#14583234C2211yescharacteristic
93#14583231C2211yescharacteristic
94#14583231C2211yescharacteristic
95#14583231C2211yescharacteristic, complemented
96#14583231C2211yescharacteristic, complemented
97#14583230C2211yescharacteristic
98#14583230C2211yescharacteristic, complemented
99#14583229C2211yescharacteristic
100#14583229C2211yescharacteristic, complemented
101#14583222C2211yescharacteristic, complemented
102#14583221C2211yescharacteristic, complemented
103#14583220C2211yescharacteristic, complemented
104#14583216C2211yescharacteristic
105#14583216C2211yescharacteristic
106#14583216C2211yescharacteristic, complemented
107#14583216C2211yescharacteristic, complemented
108#14583215C2211yescharacteristic
109#14583215C2211yescharacteristic, complemented
110#14583211C2211yescharacteristic
111#14583211C2211yescharacteristic
112#14583210C2211yescharacteristic
113#14583209C2211yescharacteristic, complemented
114#14583207C2211yescharacteristic, complemented
115#14583205C2211yescharacteristic, complemented
116#14583203C2211yescharacteristic, complemented
117#14583201C2211yescharacteristic, complemented
118#14583199C2211yescharacteristic, complemented
119#14583197C2211yescharacteristic, complemented
120#14583189C2211yescharacteristic, complemented
121#14583187C2211yescharacteristic, complemented
122#14583187C2211yescharacteristic, complemented
123#14583185C2211yescharacteristic, complemented
124#14583183C2211yescharacteristic, complemented
125#14583183C2211yescharacteristic, complemented
126#14583181C2211yescharacteristic, complemented
127#14583158C2211yescharacteristic, complemented
128#14583157C2211yescharacteristic, complemented
129#14583149C2211yescharacteristic, complemented
130#14583141C2211yescharacteristic
131#14583140C2211yescharacteristic
132#14583132C2211yescharacteristic
133#14583127C2211yescharacteristic
134#14583127C2211yescharacteristic
135#14583127C2211yescharacteristic, complemented
136#14583127C2211yescharacteristic, complemented
137#14583126C2211yescharacteristic
138#14583126C2211yescharacteristic
139#14583126C2211yescharacteristic, complemented
140#14583126C2211yescharacteristic, complemented
141#14583011C2211yescharacteristic, complemented
142#14583007C2211yescharacteristic, complemented
143#14583005C2211yescharacteristic, complemented
144#14582990C2211yescharacteristic, complemented
145#14582990C2211yescharacteristic, complemented
146C4×#10621883C2211yescharacteristic, complemented
147C4×#10621883C2211yescharacteristic, complemented
148#14582972C2211yescharacteristic
149#14582970C2211yescharacteristic
150#14582968C2211yescharacteristic
151D4×C43⋊C8C2211yescharacteristic
152#14582964C2211yescharacteristic
153(C22⋊D43)⋊C8C2211yescharacteristic
154(C22⋊D43)⋊C8C2211yescharacteristic
155#14582941C2211yescharacteristic, complemented
156#14582940C2211yescharacteristic
157#14582940C2211yescharacteristic
158#14582940C2211yescharacteristic, complemented
159#14582938C2211yescharacteristic
160#14582938C2211yescharacteristic
161#14582938C2211yescharacteristic, complemented
162#14582936C2211yescharacteristic
163#14582936C2211yescharacteristic, complemented
164#14582935C2211yescharacteristic, complemented
165C2×#13063257C2211yescharacteristic
166C2×#13063256C2211yescharacteristic
167C2×#13063256C2211yescharacteristic
168C2×#13063256C2211yescharacteristic, complemented
169#106×D43C2211yescharacteristic
170#106×D43C2211yescharacteristic
171#106×D43C2211yescharacteristic
172#106×D43C2211yescharacteristic
173#106×D43C2211yescharacteristic
174#106×D43C2211yescharacteristic
175#106×D43C2211yescharacteristic
176#106×D43C2211yescharacteristic
177#106×D43C2211yescharacteristic, complemented
178#14582924C2211yescharacteristic
179#14582897C2211yescharacteristic
180#14582897C2211yescharacteristic
181#14582897C2211yescharacteristic
182#14582897C2211yescharacteristic
183#14582892C2211yescharacteristic
184#14582892C2211yescharacteristic
185#14582864C2211yescharacteristic
186#14582861C2211yescharacteristic
187#14582856C2211yescharacteristic
188C43×#553C2211yescharacteristic
189C43×#547C2211yescharacteristic
190C43×#501C2211yescharacteristic, complemented
191C43×#482C2211yescharacteristic, complemented
192C43×#481C2211yescharacteristic
193C43×#481C2211yescharacteristic, complemented
194C43×#480C2211yescharacteristic
195C43×#478C2211yescharacteristic, complemented
196C43×#476C2211yescharacteristic, complemented
197C43×#469C2211yescharacteristic, complemented
198C43×#466C2211yescharacteristic
199C43×#442C2211yescharacteristic, complemented
200C43×#435C2211yescharacteristic
201C43×#428C2211yescharacteristic, complemented
202C2×#106×C43C2211yescharacteristic
203C2×#10621898—21no—
204C2×#10621898C2311yescharacteristic
205C2×#10621900—21no—
206C2×#10621900—21no—
207C2×#10621900C2311yescharacteristic
208C2×#10621900C2311yescharacteristic
209C22×C4×D43—21no—
210C22×C4×D43—21no—
211C22×C4×D43C2311yescharacteristic
212#13063344—24no—
213C2×Dic172C2311yescharacteristic
214C2×#10621883C2311yescharacteristic
215C2×#10621883C2311yescharacteristic
216#13063333—24no—
217C2×#10621872C2311yescharacteristic
218C2×#10621872C2311yescharacteristic
219C2×#10621872C2311yescharacteristic
220C22×C43⋊C8C2311yescharacteristic
221C22×C43⋊C8C2311yescharacteristic
222C2×C8×D43—24no—
223C2×C8×D43C2311yescharacteristic
224C2×C8×D43C2311yescharacteristic
225C2×C8×D43C2311yescharacteristic
226C2×C8×D43C2311yescharacteristic
227C2×C8×D43C2311yescharacteristic
228#13063325C2311yescharacteristic
229#13063324—21no—
230#13063324C2311yescharacteristic
231#13063324C2311yescharacteristic
232#13063323—21no—
233#13063320—21no—
234#13063320—21no—
235#13063318—21no—
236#13063318—21no—
237#13063318—21no—
238#13063318—21no—
239#13063318—21no—
240#13063317—21no—
241#13063317C2311yescharacteristic
242#13063316—21no—
243#13063316—21no—
244#13063316—21no—
245#13063316C2311yescharacteristic
246#13063316C2311yescharacteristic
247#13063315—21no—
248#13063315—21no—
249#13063315—21no—
250#13063315—21no—
251#13063315—21no—
252#13063315—21no—
253#13063310—21no—
254#13063310D411yescharacteristic
255#13063309—21no—
256#13063308—21no—
257#13063308—21no—
258#13063307—21no—
259#13063307—21no—
260#13063307—21no—
261#13063307—21no—
262#13063307—21no—
263#13063307—21no—
264#13063307—21no—
265#13063307D411yescharacteristic
266#13063306—21no—
267#13063306—21no—
268#13063306—21no—
269#13063306—21no—
270#13063305—21no—
271#13063305C2311yescharacteristic
272#13063305C2311yescharacteristic
273#13063305C2311yescharacteristic
274#13063305C2311yescharacteristic
275#13063304—21no—
276#13063304—21no—
277#13063304—21no—
278#13063304C2311yescharacteristic
279#13063304C2311yescharacteristic
280#13063304C2311yescharacteristic
281#13063304C2311yescharacteristic
282#13063303—21no—
283#13063303—21no—
284#13063303—21no—
285#13063303—21no—
286#13063303D411yescharacteristic
287#13063302—21no—
288#13063302—21no—
289#13063302—21no—
290#13063302—21no—
291#13063302—21no—
292#13063302—21no—
293#13063302D411yescharacteristic
294#13063301—21no—
295#13063301—21no—
296#13063301—21no—
297#13063298—21no—
298#13063298—21no—
299#13063298—21no—
300#13063298D411yescharacteristic
301#13063297—21no—
302#13063297—21no—
303#13063297—21no—
304#13063297D411yescharacteristic
305#13063296—21no—
306#13063296—21no—
307#13063296—21no—
308#13063296C2311yescharacteristic
309#13063296C2311yescharacteristic
310#13063296C2311yescharacteristic
311#13063296C2311yescharacteristic
312#13063295D411yescharacteristic
313#13063293—21no—
314#13063293—21no—
315#13063293D411yescharacteristic
316C4×Dic86—21no—
317C4×Dic86C2311yescharacteristic
318C4×Dic86C2311yescharacteristic
319#13063290—21no—
320#13063290C2311yescharacteristic
321#13063290C2311yescharacteristic
322C4×D172—21no—
323C4×D172C2311yescharacteristic
324D4×Dic43—21no—
325D4×Dic43—21no—
326D4×Dic43—21no—
327D4×Dic43—21no—
328D4×Dic43C2311yescharacteristic
329D4×Dic43C2311yescharacteristic
330#13063287—21no—
331#13063287—21no—
332C4×C22⋊D43—21no—
333C4×C22⋊D43—21no—
334C4×C22⋊D43—21no—
335C4×C22⋊D43—21no—
336C4×C22⋊D43—21no—
337C4×C22⋊D43—21no—
338C4×C22⋊D43—21no—
339C4×C22⋊D43C2311yescharacteristic
340C4×C22⋊D43C2311yescharacteristic
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(C22⋊D43)⋊C4—21no—
348#13063284—21no—
349#13063284C2311yescharacteristic
350#13063283—21no—
351#13063283C2311yescharacteristic
352#13063283C2311yescharacteristic
353#13063283C2311yescharacteristic
354#13063283C2311yescharacteristic
355#13063282—21no—
356#13063282C2311yescharacteristic
357#13063281—21no—
358#13063281—21no—
359#13063281—21no—
360C2×C4⋊Dic43C2311yescharacteristic
361C2×C4⋊Dic43C2311yescharacteristic
362C2×C4⋊Dic43C2311yescharacteristic
363C2×Dic43⋊C4—21no—
364C2×Dic43⋊C4—21no—
365C2×Dic43⋊C4—21no—
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
379C4⋊C4×D43C2311yescharacteristic
380C4⋊C4×D43C2311yescharacteristic
381#13063259C2311yescharacteristic
382#13063259C2311yescharacteristic
383#13063259C2311yescharacteristic
384#13063258C2311yescharacteristic
385#13063258C2311yescharacteristic
386#13063258C2311yescharacteristic
387#13063258C2311yescharacteristic
388#13063257C2311yescharacteristic
389#13063257C2311yescharacteristic
390#13063257C2311yescharacteristic
391#13063257C2311yescharacteristic
392#13063257C2311yescharacteristic
393#13063257C2311yescharacteristic
394#13063256C2311yescharacteristic
395#13063256C2311yescharacteristic
396#13063256C2311yescharacteristic
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#13063250C2311yescharacteristic
412#13063250C2311yescharacteristic
413#13063250C2311yescharacteristic
414#13063250C2311yescharacteristic
415#13063250C2311yescharacteristic
416#13063250C2311yescharacteristic
417#13063248C2311yescharacteristic
418#13063248C2311yescharacteristic
419#13063248C2311yescharacteristic
420#13063248C2311yescharacteristic
421#13063248C2311yescharacteristic
422#13063248C2311yescharacteristic
423#13063246C2311yescharacteristic
424#13063246C2311yescharacteristic
425#13063246C2311yescharacteristic
426#13063246C2311yescharacteristic
427#13063246C2311yescharacteristic
428#13063246C2311yescharacteristic
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#13063235C2311yescharacteristic
436C4×C43⋊C8C2311yescharacteristic
437C8×Dic43C2311yescharacteristic
438C2×#41×C43—21no—
439C2×D8×C43C2311yescharacteristic
440C2×M16×C43C2311yescharacteristic
441C22×C8×C43C2311yescharacteristic
442C4⋊Q8×C43C2311yescharacteristic
443#126×C43—21no—
444#125×C43C2311yescharacteristic
445#123×C43—21no—
446#123×C43—21no—
447#123×C43—21no—
448C22⋊Q8×C43—21no—
449#121×C43—21no—
450#121×C43C2311yescharacteristic
451#121×C43C2311yescharacteristic
452#121×C43C2311yescharacteristic
453#121×C43C2311yescharacteristic
454C4×D4×C43—21no—
455C4×D4×C43C2311yescharacteristic
456C4×D4×C43C2311yescharacteristic
457C4×D4×C43C2311yescharacteristic
458#117×C43C2311yescharacteristic
459C2×C4⋊C4×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#102×C43C2311yescharacteristic
473#102×C43C2311yescharacteristic
474#102×C43C2311yescharacteristic
475#102×C43C2311yescharacteristic
476#102×C43C2311yescharacteristic
477#102×C43C2311yescharacteristic
478C22⋊C8×C43C2311yescharacteristic
479C22⋊C8×C43C2311yescharacteristic
480#97×C43C2311yescharacteristic
481C23×D43C2×D411yescharacteristic
482#41×C43—82no—
483C2×Q8×C43—21no—
484C2×D4×C43—21no—
485C2×D4×C43—21no—
486C2×D4×C43—21no—
487C2×D4×C43—21no—
488C2×D4×C43C2×D411yescharacteristic
489C2×D4×C43C2411yescharacteristic
490C2×D4×C43C2411yescharacteristic
491C22×C4×C43—21no—
492C22×C4×C43—21no—
493C22×C4×C43—21no—
494C22×C4×C43—21no—
495C22×C4×C43—21no—
496C22×C4×C43C2411yescharacteristic
497C22×C4×C43C2411yescharacteristic
498C2×C22⋊D43—21no—
499C2×C22⋊D43—21no—
500C2×C22⋊D43—21no—
501C2×C22⋊D43—21no—
502C2×C22⋊D43—21no—
503C2×C22⋊D43—21no—
504C2×C22⋊D43C2×D411yescharacteristic
505C2×C22⋊D43C2×D411yescharacteristic
506C2×C22⋊D43C2×D411yescharacteristic
507C2×C22⋊D43C2×D411yescharacteristic
508C22×Dic43—21no—
509C22×Dic43—21no—
510C22×Dic43—21no—
511C22×Dic43—21no—
512C22×Dic43—21no—
513C22×Dic43—21no—
514C22×Dic43—21no—
515C22×Dic43C2×D411yescharacteristic
516#10621900—22no—
517#10621900—22no—
518#10621900—22no—
519#10621900—22no—
520#10621900—82no—
521#10621900—82no—
522#10621898—22no—
523#10621898—22no—
524#10621898—82no—
525C2×D172C2×D411yescharacteristic
526C2×D172C2×D411yescharacteristic
527C2×C4×D43—22no—
528C2×C4×D43—22no—
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—21no—
537C2×C4×D43—21no—
538C2×C4×D43—21no—
539C2×C4×D43—82no—
540C2×C4×D43—82no—
541C2×C4×D43C2×D411yescharacteristic
542C2×C4×D43C2×D411yescharacteristic
543C2×C4×D43C2411yescharacteristic
544C2×C4×D43C2411yescharacteristic
545C2×C4×D43C2411yescharacteristic
546C2×Dic86—21no—
547C2×Dic86—21no—
548C2×Dic86—21no—
549C2×Dic86C2×D411yescharacteristic
550C2×Dic86C2411yescharacteristic
551C2×Dic86C2411yescharacteristic
552D8×C43—22no—
553M16×C43—22no—
554C2×C8×C43—22no—
555C2×C8×C43C2411yescharacteristic
556C2×C8×C43C2411yescharacteristic
557C2×C8×C43C2411yescharacteristic
558C2×C8×C43C2411yescharacteristic
559C4⋊C4×C43—21no—
560C4⋊C4×C43—21no—
561C4⋊C4×C43—21no—
562C4⋊C4×C43—21no—
563C4⋊C4×C43—21no—
564C4⋊C4×C43—21no—
565C4⋊C4×C43C2×D411yescharacteristic
566C4⋊C4×C43C2411yescharacteristic
567C4⋊C4×C43C2411yescharacteristic
568C4⋊C4×C43C2411yescharacteristic
569C4⋊C4×C43C2411yescharacteristic
570C4⋊C4×C43C2411yescharacteristic
571C4⋊C4×C43C2411yescharacteristic
572C22⋊C4×C43—21no—
573C22⋊C4×C43—21no—
574C22⋊C4×C43—21no—
575C22⋊C4×C43—21no—
576C22⋊C4×C43—21no—
577C22⋊C4×C43—21no—
578C22⋊C4×C43—21no—
579C22⋊C4×C43C2×D411yescharacteristic
580C22⋊C4×C43C2×D411yescharacteristic
581C42×C43—21no—
582C42×C43C2411yescharacteristic
583C22⋊Dic43—21no—
584C22⋊Dic43—21no—
585C22⋊Dic43—21no—
586C22⋊Dic43—21no—
587C22⋊Dic43—21no—
588C22⋊Dic43—21no—
589C22⋊Dic43—21no—
590C22⋊Dic43—21no—
591C22⋊Dic43—21no—
592C22⋊Dic43—21no—
593C22⋊Dic43—21no—
594C22⋊Dic43C2×D411yescharacteristic
595C22⋊Dic43C2×D411yescharacteristic
596#10621883—22no—
597#10621883—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)⋊C4C2×D411yescharacteristic
607(C2×D43)⋊C4C2×D411yescharacteristic
608(C2×D43)⋊C4C2×D411yescharacteristic
609(C2×D43)⋊C4C2×D411yescharacteristic
610(C2×D43)⋊C4C2×D411yescharacteristic
611(C2×D43)⋊C4C2×D411yescharacteristic
612C4⋊Dic43—21no—
613C4⋊Dic43—21no—
614C4⋊Dic43—21no—
615C4⋊Dic43—21no—
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⋊C4—21no—
650Dic43⋊C4—21no—
651Dic43⋊C4—21no—
652Dic43⋊C4—21no—
653Dic43⋊C4C2×D411yescharacteristic
654Dic43⋊C4C2×D411yescharacteristic
655Dic43⋊C4C2×D411yescharacteristic
656Dic43⋊C4C2×D411yescharacteristic
657C4×Dic43—21no—
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
667C2×C43⋊C8—22no—
668C2×C43⋊C8—22no—
669C2×C43⋊C8C2411yescharacteristic
670C2×C43⋊C8C2411yescharacteristic
671C2×C43⋊C8C2411yescharacteristic
672C2×C43⋊C8C2411yescharacteristic
673Dic172—22no—
674#10621872—22no—
675#10621872—22no—
676#10621872—22no—
677C8×D43—22no—
678C8×D43—22no—
679C8×D43—22no—
680C8×D43—22no—
681C8×D43#4114yescomplemented
682C23×C43—21no—
683C23×C43—21no—
684C23×C43C22×D411yescharacteristic
685C23×C43C22×D411yescharacteristic
686C22×D43—22no—
687C22×D43—22no—
688C22×D43—22no—
689C22×D43C22×D411yescharacteristic
690C22×D43C22×D411yescharacteristic
691C22×D43C22×D411yescharacteristic
692Q8×C43—81no—
693D4×C43—22no—
694D4×C43—21no—
695D4×C43—21no—
696D4×C43—21no—
697D4×C43—21no—
698D4×C43—42no—
699D4×C43—42no—
700D4×C43—81no—
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—42no—
713C2×C4×C43—81no—
714C2×C4×C43—81no—
715C2×C4×C43—81no—
716C2×C4×C43—81no—
717C2×C4×C43C22×D411yescharacteristic
718C2×C4×C43C22×D411yescharacteristic
719C2×C4×C43C22×D411yescharacteristic
720C2×C4×C43C22×D411yescharacteristic
721C2×C4×C43C2511yescharacteristic
722C22⋊D43—22no—
723C22⋊D43—22no—
724C22⋊D43—22no—
725C22⋊D43—22no—
726C22⋊D43—42no—
727C22⋊D43—42no—
728C22⋊D43—42no—
729C22⋊D43—42no—
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—21no—
740C2×Dic43—21no—
741C2×Dic43—42no—
742C2×Dic43—42no—
743C2×Dic43—42no—
744C2×Dic43—81no—
745C2×Dic43—81no—
746C2×Dic43—81no—
747C2×Dic43—81no—
748C2×Dic43C22×D411yescharacteristic
749C2×Dic43C22×D411yescharacteristic
750C2×Dic43C22×D411yescharacteristic
751C2×Dic43C22×D411yescharacteristic
752C2×Dic43C22×D411yescharacteristic
753D172—22no—
754D172—22no—
755C4×D43—22no—
756C4×D43—21no—
757C4×D43—21no—
758C4×D43—21no—
759C4×D43—21no—
760C4×D43—22no—
761C4×D43—42no—
762C4×D43—42no—
763C4×D43—81no—
764C4×D43—81no—
765C4×D43—81no—
766C4×D43—81no—
767C4×D43—81no—
768C4×D43—81no—
769C4×D43—81no—
770C4×D43—81no—
771C4×D43C2×#4112yes—
772C4×D432−1+412yes—
773Dic86—22no—
774Dic86—21no—
775Dic86—21no—
776Dic86—21no—
777Dic86—21no—
778Dic86—81no—
779Dic86—81no—
780Dic86—81no—
781C8×C43—21no—
782C8×C43—21no—
783C8×C43—21no—
784C8×C43C2×#4112yes—
785C43⋊C8—21no—
786C43⋊C8—21no—
787C43⋊C8—21no—
788C43⋊C8C2×#4112yes—
789#61259—431nomaximal, Sylow
790C22×C43—21no—
791C22×C43—21no—
792C22×C43—21no—
793C22×C43—21no—
794C22×C43—21no—
795C22×C43—41no—
796C22×C43—41no—
797C22×C43—41no—
798C22×C43—41no—
799C22×C43—41no—
800C22×C43—41no—
801C22×C43#57712yes—
802C22×C43C23×D411yescharacteristic
803C2×D43—28no—
804C2×D43—21no—
805C2×D43—21no—
806C2×D43—21no—
807C2×D43—21no—
808C2×D43—21no—
809C2×D43—21no—
810C2×D43—21no—
811C2×D43#54712yes—
812C2×D43#57712yes—
813C4×C43—21no—
814C4×C43—21no—
815C4×C43—21no—
816C4×C43—21no—
817C4×C43—41no—
818C4×C43—41no—
819C4×C43—41no—
820C4×C43—41no—
821C4×C43—41no—
822C4×C43—41no—
823C4×C43C22×#4111yescharacteristic
824C4×C43C2×2−1+411yescharacteristic
825Dic43—21no—
826Dic43—21no—
827Dic43—21no—
828Dic43—21no—
829Dic43—41no—
830Dic43—41no—
831Dic43—41no—
832Dic43—41no—
833Dic43—41no—
834Dic43—41no—
835Dic43—41no—
836Dic43—41no—
837Dic43#54712yes—
838#3492—431no—
839#3492—431no—
840#3345—431no—
841#3345—431no—
842#3345—431no—
843#3345D4311yescharacteristic, complemented
844#3344—431no—
845#3344—431no—
846#3344—431no—
847#3344—431no—
848#3337—431no—
849#3337—431no—
850#3337—431no—
851#3337—431no—
852#3335—431no—
853#3335—431no—
854#3335—431no—
855#3335—431no—
856#3163—431no—
857#3099—431no—
858#3099—431no—
859#3092—431no—
860#3092—431no—
861#3084—431no—
862#3084—431no—
863#3060—431no—
864#3050—431no—
865#2952—431no—
866#2929—431no—
867#2912—431no—
868C22×#106—431no—
869C2×C43—22no—
870C2×C43—41no—
871C2×C43—81no—
872C2×C43—81no—
873C2×C43C2×#54711yescharacteristic
874C2×C43C2×#57711yescharacteristic
875C2×C43C2×#57711yescharacteristic
876D43—22no—
877D43—22no—
878D43—41no—
879C2×#135—431no—
880C2×#131—431no—
881C23×C8—431no—
882#554—431no—
883#554—431no—
884#554—431no—
885#554—431no—
886#554—861no—
887#554—861no—
888#553—431no—
889#553—431no—
890#553—431no—
891#553—861no—
892#553—861no—
893#553C2×D4311yescharacteristic
894#552—431no—
895#552—431no—
896#552—431no—
897#552—431no—
898#552—861no—
899#552—861no—
900#547—431no—
901#547—431no—
902#547—431no—
903#547—861no—
904#547—861no—
905#547C2×D4311yescharacteristic
906#544—431no—
907#544—431no—
908#539—861no—
909#539—861no—
910#539—861no—
911#539—861no—
912#537—431no—
913#537—431no—
914#525—431no—
915#525—431no—
916#525—431no—
917#525—861no—
918#525—861no—
919#525—861no—
920#525—861no—
921#520—431no—
922#520—431no—
923#520—431no—
924#520—431no—
925C22×C4⋊C4—431no—
926C22×C4⋊C4—431no—
927#501—431no—
928#501—431no—
929#501—431no—
930#501C2×D4311yescharacteristic, complemented
931#499—431no—
932#499—431no—
933#498—431no—
934#498—431no—
935#485—431no—
936#485—431no—
937#485—431no—
938#485—431no—
939#484—431no—
940#484—431no—
941#484—431no—
942#484—431no—
943#483—431no—
944#483—431no—
945#483—431no—
946#483—431no—
947#483—431no—
948#483—431no—
949#483—431no—
950#483—431no—
951#482—431no—
952#482—431no—
953#482—431no—
954#482C2×D4311yescharacteristic, complemented
955#481—431no—
956#481—431no—
957#481—431no—
958#481—431no—
959#481—431no—
960#481—431no—
961#481C2×D4311yescharacteristic
962#481C2×D4311yescharacteristic, complemented
963#480—431no—
964#480—431no—
965#480—431no—
966#480C2×D4311yescharacteristic
967#479—431no—
968#479—431no—
969#479—431no—
970#479—431no—
971#478—431no—
972#478—431no—
973#478—431no—
974#478C2×D4311yescharacteristic, complemented
975#476—431no—
976#476—431no—
977#476—431no—
978#476C2×D4311yescharacteristic, complemented
979#475—431no—
980#475—431no—
981#475—431no—
982#475—431no—
983#470—431no—
984#470—431no—
985#469—431no—
986#469C2×D4311yescharacteristic, complemented
987#467—431no—
988#467—431no—
989#466—431no—
990#466C2×D4311yescharacteristic
991#465—431no—
992#465—431no—
993#465—431no—
994#465—431no—
995#465—431no—
996#465—431no—
997#465—431no—
998#465—431no—
999#442—431no—
1000#442C2×D4311yescharacteristic, complemented
1001#441—431no—
1002#441—431no—
1003C4×SD16—431no—
1004C4×SD16—431no—
1005C4×SD16—431no—
1006C4×SD16—431no—
1007#435—431no—
1008#435—431no—
1009#435—431no—
1010#435C2×D4311yescharacteristic
1011C8×D4—431no—
1012C8×D4—431no—
1013C8×D4—431no—
1014C8×D4—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, complemented
1023#427—431no—
1024#427—431no—
1025#427—431no—
1026C2×#106—431no—
1027C2×#106—431no—
1028C2×#106—431no—
1029C2×#106—431no—
1030C2×#106—431no—
1031C2×#106—431no—
1032C2×#106—431no—
1033C2×#106—431no—
1034C2×#106—431no—
1035C2×#106—431no—
1036C2×#106—431no—
1037C2×#106—431no—
1038C2×#106—431no—
1039C2×#106C2×D4311yescharacteristic
1040#424—431no—
1041#417—431no—
1042#417—431no—
1043#417—431no—
1044#417—431no—
1045#416—431no—
1046#416—431no—
1047#408—431no—
1048#407—431no—
1049#405—431no—
1050C43#6125911yescharacteristic, complemented, Sylow
1051C2×#41—21no—
1052C2×#41—431no—
1053C2×#41—431no—
1054C2×#41—431no—
1055C2×#41—861no—
1056C2×#41—861no—
1057C2×#41—861no—
1058C23×C4—431no—
1059C23×C4—861no—
1060C23×C4—861no—
1061#135—864no—
1062C2×Q16—431no—
1063C2×SD16—431no—
1064C2×SD16—431no—
1065C2×D8C22×D4311yescharacteristic
1066#131—864no—
1067C2×M16—431no—
1068C2×M16—431no—
1069C2×M16—431no—
1070C2×M16C22×D4311yescharacteristic
1071C22×C8—431no—
1072C22×C8—431no—
1073C22×C8—431no—
1074C22×C8—431no—
1075C22×C8—431no—
1076C22×C8—431no—
1077C22×C8—431no—
1078C22×C8—864no—
1079C22×C8C22×D4311yescharacteristic
1080C4⋊Q8—431no—
1081C4⋊Q8—431no—
1082C4⋊Q8—431no—
1083C4⋊Q8—861no—
1084C4⋊Q8—861no—
1085C4⋊Q8C22×D4311yescharacteristic
1086#126—21no—
1087#126—861no—
1088#126—861no—
1089#126—861no—
1090#126—861no—
1091#126—861no—
1092#126—861no—
1093#126—861no—
1094#125—431no—
1095#125—431no—
1096#125—431no—
1097#125—861no—
1098#125—861no—
1099#125—861no—
1100#125—861no—
1101#125—861no—
1102#125—861no—
1103#125—861no—
1104#125—861no—
1105#125—861no—
1106#125—861no—
1107#125C22×D4311yescharacteristic
1108#123—21no—
1109#123—21no—
1110#123—21no—
1111#123—431no—
1112#123—431no—
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—
1122#123—861no—
1123#123—861no—
1124#123—861no—
1125#123—861no—
1126#123—861no—
1127#123—861no—
1128C22⋊Q8—21no—
1129C22⋊Q8—431no—
1130C22⋊Q8—431no—
1131C22⋊Q8—431no—
1132C22⋊Q8—431no—
1133C22⋊Q8—431no—
1134C22⋊Q8—431no—
1135C22⋊Q8—431no—
1136C22⋊Q8—431no—
1137C22⋊Q8—431no—
1138C22⋊Q8—431no—
1139C22⋊Q8—861no—
1140C22⋊Q8—861no—
1141C22⋊Q8—861no—
1142C22⋊Q8—861no—
1143C22⋊Q8—861no—
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⋊Q8—861no—
1156#121—21no—
1157#121—431no—
1158#121—431no—
1159#121—431no—
1160#121—431no—
1161#121—431no—
1162#121—431no—
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#121C22×D4311yescharacteristic
1175#121C22×D4311yescharacteristic
1176#120—431no—
1177#120—431no—
1178#120—861no—
1179#120—861no—
1180C4×Q8—431no—
1181C4×Q8—431no—
1182C4×Q8—431no—
1183C4×Q8—431no—
1184C4×Q8—861no—
1185C4×Q8—861no—
1186C4×D4—21no—
1187C4×D4—431no—
1188C4×D4—431no—
1189C4×D4—431no—
1190C4×D4—431no—
1191C4×D4—431no—
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×D4—861no—
1206C4×D4—861no—
1207C4×D4—861no—
1208C4×D4—861no—
1209C4×D4—861no—
1210C4×D4—861no—
1211C4×D4—861no—
1212C4×D4—861no—
1213C4×D4C22×D4311yescharacteristic
1214C4×D4C22×D4311yescharacteristic
1215C4×D4C22×D4311yescharacteristic
1216#117—431no—
1217#117—431no—
1218#117—431no—
1219#117—431no—
1220#117—431no—
1221#117—431no—
1222#117—861no—
1223#117—861no—
1224#117—861no—
1225#117—861no—
1226#117—861no—
1227#117—861no—
1228#117C22×D4311yescharacteristic
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—431no—
1238C2×C4⋊C4—431no—
1239C2×C4⋊C4—431no—
1240C2×C4⋊C4—431no—
1241C2×C4⋊C4—431no—
1242C2×C4⋊C4—861no—
1243C2×C4⋊C4—861no—
1244C2×C4⋊C4—861no—
1245C2×C4⋊C4—861no—
1246C2×C4⋊C4—861no—
1247C2×C4⋊C4—861no—
1248C2×C4⋊C4—861no—
1249C2×C4⋊C4—861no—
1250C2×C4⋊C4C22×D4311yescharacteristic
1251C2×C4⋊C4C22×D4311yescharacteristic
1252C2×C4⋊C4C22×D4311yescharacteristic
1253#107—431no—
1254#107—431no—
1255#107—431no—
1256#107—431no—
1257#107—431no—
1258#107—431no—
1259#107—431no—
1260#107C22×D4311yescharacteristic
1261#107C22×D4311yescharacteristic
1262#107C22×D4311yescharacteristic
1263#106—431no—
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#106—431no—
1277#106—431no—
1278#106—431no—
1279#106—431no—
1280#106—431no—
1281#106—431no—
1282#106—431no—
1283#106C22×D4311yescharacteristic
1284#106C22×D4311yescharacteristic
1285#106C22×D4311yescharacteristic
1286#106C22×D4311yescharacteristic
1287#106C22×D4311yescharacteristic
1288#106C22×D4311yescharacteristic
1289C4⋊C8—431no—
1290C4⋊C8—431no—
1291C4⋊C8—431no—
1292C4⋊C8C22×D4311yescharacteristic
1293#103—431no—
1294#103—431no—
1295#103—431no—
1296#103—431no—
1297#103—431no—
1298#103—431no—
1299#103—431no—
1300#103—431no—
1301#103—431no—
1302#103—431no—
1303#103—431no—
1304#103—431no—
1305#102—431no—
1306#102—431no—
1307#102—431no—
1308#102—431no—
1309#102—431no—
1310#102—431no—
1311#102C22×D4311yescharacteristic
1312#102C22×D4311yescharacteristic
1313#102C22×D4311yescharacteristic
1314#102C22×D4311yescharacteristic
1315#102C22×D4311yescharacteristic
1316#102C22×D4311yescharacteristic
1317C22⋊C8—431no—
1318C22⋊C8—431no—
1319C22⋊C8—431no—
1320C22⋊C8—431no—
1321C22⋊C8—431no—
1322C22⋊C8—431no—
1323C22⋊C8C22×D4311yescharacteristic
1324C22⋊C8C22×D4311yescharacteristic
1325#97—431no—
1326#97C22×D4311yescharacteristic
1327C4×C8—431no—
1328C4×C8—431no—
1329C24—431no—
1330#41—82no—
1331#41—862no—
1332#41—862no—
1333#41—862no—
1334#41—862no—
1335#41—862no—
1336#41—862no—
1337#41—3442no—
1338#41—3442no—
1339#41—3442no—
1340C2×Q8—21no—
1341C2×Q8—431no—
1342C2×Q8—431no—
1343C2×Q8—431no—
1344C2×Q8—861no—
1345C2×Q8—861no—
1346C2×Q8—861no—
1347C2×D4—21no—
1348C2×D4—21no—
1349C2×D4—21no—
1350C2×D4—21no—
1351C2×D4—431no—
1352C2×D4—431no—
1353C2×D4—431no—
1354C2×D4—431no—
1355C2×D4—431no—
1356C2×D4—431no—
1357C2×D4—861no—
1358C2×D4—861no—
1359C2×D4—861no—
1360C2×D4—861no—
1361C2×D4—861no—
1362C2×D4—861no—
1363C2×D4D4×D4311yescharacteristic
1364C2×D4C23×D4311yescharacteristic
1365C2×D4C23×D4311yescharacteristic
1366C22×C4—21no—
1367C22×C4—21no—
1368C22×C4—21no—
1369C22×C4—21no—
1370C22×C4—21no—
1371C22×C4—431no—
1372C22×C4—431no—
1373C22×C4—431no—
1374C22×C4—431no—
1375C22×C4—431no—
1376C22×C4—431no—
1377C22×C4—862no—
1378C22×C4—862no—
1379C22×C4—861no—
1380C22×C4—861no—
1381C22×C4—861no—
1382C22×C4—861no—
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×C4—3442no—
1397C22×C4—3442no—
1398C22×C4C23×D4311yescharacteristic
1399C22×C4C23×D4311yescharacteristic
1400Q16—862no—
1401SD16—862no—
1402SD16—862no—
1403D8—22no—
1404M16—22no—
1405M16—862no—
1406M16—862no—
1407M16—862no—
1408C2×C8—22no—
1409C2×C8—431no—
1410C2×C8—434no—
1411C2×C8—431no—
1412C2×C8—431no—
1413C2×C8—431no—
1414C2×C8—862no—
1415C2×C8—862no—
1416C2×C8—862no—
1417C2×C8—862no—
1418C2×C8—862no—
1419C2×C8—862no—
1420C2×C8C23×D4311yescharacteristic
1421C2×C8C23×D4311yescharacteristic
1422C2×C8C23×D4311yescharacteristic
1423C2×C8C23×D4311yescharacteristic
1424C4⋊C4—21no—
1425C4⋊C4—21no—
1426C4⋊C4—21no—
1427C4⋊C4—21no—
1428C4⋊C4—21no—
1429C4⋊C4—21no—
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—431no—
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⋊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⋊C4D4×D4311yescharacteristic
1476C4⋊C4C23×D4311yescharacteristic
1477C4⋊C4C23×D4311yescharacteristic
1478C4⋊C4C23×D4311yescharacteristic
1479C4⋊C4C23×D4311yescharacteristic
1480C4⋊C4C23×D4311yescharacteristic
1481C4⋊C4C23×D4311yescharacteristic
1482C22⋊C4—21no—
1483C22⋊C4—21no—
1484C22⋊C4—21no—
1485C22⋊C4—21no—
1486C22⋊C4—21no—
1487C22⋊C4—21no—
1488C22⋊C4—21no—
1489C22⋊C4—431no—
1490C22⋊C4—431no—
1491C22⋊C4—431no—
1492C22⋊C4—431no—
1493C22⋊C4—431no—
1494C22⋊C4—431no—
1495C22⋊C4—431no—
1496C22⋊C4—431no—
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⋊C4—861no—
1511C22⋊C4—861no—
1512C22⋊C4—861no—
1513C22⋊C4—861no—
1514C22⋊C4—861no—
1515C22⋊C4—861no—
1516C22⋊C4D4×D4311yescharacteristic
1517C22⋊C4D4×D4311yescharacteristic
1518C42—21no—
1519C42—431no—
1520C42—861no—
1521C42—861no—
1522C42—861no—
1523C42—861no—
1524C42—861no—
1525C42—861no—
1526C42—861no—
1527C42—861no—
1528C42—861no—
1529C42C23×D4311yescharacteristic
1530C23—21no—
1531C23—21no—
1532C23—431no—
1533C23—431no—
1534C23—431no—
1535C23—862no—
1536C23—862no—
1537C23—862no—
1538C23C2×D4×D4311yescharacteristic
1539C23C2×D4×D4311yescharacteristic
1540Q8—81no—
1541Q8—862no—
1542Q8—861no—
1543Q8—861no—
1544Q8—861no—
1545Q8—861no—
1546Q8—3441no—
1547Q8—3441no—
1548Q8—3441no—
1549D4—22no—
1550D4—21no—
1551D4—21no—
1552D4—21no—
1553D4—21no—
1554D4—42no—
1555D4—42no—
1556D4—81no—
1557D4—81no—
1558D4—862no—
1559D4—862no—
1560D4—862no—
1561D4—862no—
1562D4—862no—
1563D4—862no—
1564D4—3441no—
1565D4—3441no—
1566D4—1722no—
1567D4—1722no—
1568D4—1722no—
1569D4—1722no—
1570C2×C4—21no—
1571C2×C4—21no—
1572C2×C4—21no—
1573C2×C4—21no—
1574C2×C4—21no—
1575C2×C4—21no—
1576C2×C4—21no—
1577C2×C4—21no—
1578C2×C4—21no—
1579C2×C4—21no—
1580C2×C4—42no—
1581C2×C4—81no—
1582C2×C4—81no—
1583C2×C4—81no—
1584C2×C4—81no—
1585C2×C4—431no—
1586C2×C4—432no—
1587C2×C4—432no—
1588C2×C4—431no—
1589C2×C4—431no—
1590C2×C4—431no—
1591C2×C4—431no—
1592C2×C4—862no—
1593C2×C4—862no—
1594C2×C4—862no—
1595C2×C4—861no—
1596C2×C4—861no—
1597C2×C4—861no—
1598C2×C4—861no—
1599C2×C4—861no—
1600C2×C4—861no—
1601C2×C4—861no—
1602C2×C4—861no—
1603C2×C4—861no—
1604C2×C4—861no—
1605C2×C4—861no—
1606C2×C4—861no—
1607C2×C4—3441no—
1608C2×C4—3441no—
1609C2×C4—3441no—
1610C2×C4—3441no—
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—1722no—
1620C2×C4—1722no—
1621C2×C4—1722no—
1622C2×C4—1722no—
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—41no—
1643C22—41no—
1644C22—41no—
1645C22—41no—
1646C22—41no—
1647C22—41no—
1648C22—432no—
1649C22—432no—
1650C22—868no—
1651C22—861no—
1652C22—861no—
1653C22—861no—
1654C22—861no—
1655C22—861no—
1656C22—861no—
1657C22—861no—
1658C22#1458370912yes—
1659C22C22×D4×D4311yescharacteristic
1660C4—21no—
1661C4—21no—
1662C4—21no—
1663C4—21no—
1664C4—41no—
1665C4—41no—
1666C4—41no—
1667C4—41no—
1668C4—41no—
1669C4—41no—
1670C4—432no—
1671C4—861no—
1672C4—861no—
1673C4—861no—
1674C4—861no—
1675C4—1721no—
1676C4—1721no—
1677C4—1721no—
1678C4—1721no—
1679C4—1721no—
1680C4—1721no—
1681C4—1721no—
1682C4—1721no—
1683C4C2×#41×D4311yescharacteristic
1684C42−1+4×D4311yescharacteristic
1685C2—22no—
1686C2—41no—
1687C2—81no—
1688C2—81no—
1689C2—862no—
1690C2—862no—
1691C2—1721no—
1692C2#547×D4311yescharacteristic
1693C2#577×D4311yescharacteristic
1694C2C2×#1458370911yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3345C2
socleC22×C43C23×D4
hypercenter#3345D43
hypocenterC43#61259
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3345

Complements

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

NH ≅ G/Ntype
1. #19148299C2semidirect
2. #19148297C2semidirect
3. #19147071C2semidirect
4. #19147070C2semidirect
5. #19147060C2semidirect
6. #19147052C2semidirect
7. #19147051C2semidirect
8. #19147049C2semidirect
9. #19147046C2semidirect
10. #19146981C2semidirect
11. #19146978C2semidirect
12. #19146968C2semidirect
13. #19146967C2semidirect
14. #19146952C2semidirect
15. #19146950C2semidirect
16. #19146950C2semidirect
17. #19146949C2semidirect
18. #19145122C2semidirect
19. #19144587C2semidirect
20. #19144585C2semidirect
21. #19144517C2semidirect
22. #19144514C2semidirect
23. #19144458C2semidirect
24. #19144452C2semidirect
25. #19144255C2semidirect
26. #19144174C2semidirect
27. #19143477C2semidirect
28. #19143286C2semidirect
29. #19143189C2semidirect
30. C2×#106×D43C2semidirect
31. C43×#3345C2semidirect
78. #14583308C22semidirect
79. #14583307C22semidirect
80. #14583306C22semidirect
81. #14583300C22semidirect
82. #14583298C22semidirect
83. #14583296C22semidirect
84. #14583295C22semidirect
85. #14583243C22semidirect
86. #14583242C22semidirect
87. #14583241C22semidirect
88. #14583240C22semidirect
95. #14583231C22semidirect
96. #14583231C22semidirect
98. #14583230C22semidirect
100. #14583229C22semidirect
101. #14583222C22semidirect
102. #14583221C22semidirect
103. #14583220C22semidirect
106. #14583216C22semidirect
107. #14583216C22semidirect
109. #14583215C22semidirect
113. #14583209C22semidirect
114. #14583207C22semidirect
115. #14583205C22semidirect
116. #14583203C22semidirect
117. #14583201C22semidirect
118. #14583199C22semidirect
119. #14583197C22semidirect
120. #14583189C22semidirect
121. #14583187C22semidirect
122. #14583187C22semidirect
123. #14583185C22semidirect
124. #14583183C22semidirect
125. #14583183C22semidirect
126. #14583181C22semidirect
127. #14583158C22semidirect
128. #14583157C22semidirect
129. #14583149C22semidirect
135. #14583127C22semidirect
136. #14583127C22semidirect
139. #14583126C22semidirect
140. #14583126C22semidirect
141. #14583011C22semidirect
142. #14583007C22semidirect
143. #14583005C22semidirect
144. #14582990C22semidirect
145. #14582990C22semidirect
146. C4×#10621883C22semidirect
147. C4×#10621883C22semidirect
155. #14582941C22semidirect
158. #14582940C22semidirect
161. #14582938C22semidirect
163. #14582936C22semidirect
164. #14582935C22semidirect
168. C2×#13063256C22semidirect
177. #106×D43C22semidirect
190. C43×#501C22semidirect
191. C43×#482C22semidirect
193. C43×#481C22semidirect
195. C43×#478C22semidirect
196. C43×#476C22semidirect
197. C43×#469C22semidirect
199. C43×#442C22semidirect
201. C43×#428C22semidirect
681. C8×D43#41semidirect
843. #3345D43semidirect
930. #501C2×D43semidirect
954. #482C2×D43semidirect
962. #481C2×D43semidirect
974. #478C2×D43semidirect
978. #476C2×D43semidirect
986. #469C2×D43semidirect
1000. #442C2×D43semidirect
1022. #428C2×D43semidirect
1050. C43#61259semidirect

Maximal subgroups

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

subgroupindex
#191482992
#191482972
#191470712
#191470702
#191470602
#191470522
#191470512
#191470492
#191470462
#191469812
#191469782
#191469682
#191469672
#191469522
#191469502
#191469492
#191451222
#191445872
#191445852
#191445172
#191445142
#191444582
#191444522
#191442552
#191441742
#191434772
#191432862
#191431892
C2×#106×D432
C43×#33452
#6125943