Finite Group Databasebeta

← #25975482

Subgroups — #25975482

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#19148303C211yesmaximal, characteristic, complemented
2#19148299C211yesmaximal, characteristic, complemented
3#19147086C211yesmaximal, characteristic, complemented
4#19147082C211yesmaximal, characteristic, complemented
5#19147076C211yesmaximal, characteristic, complemented
6#19147040C211yesmaximal, characteristic, complemented
7#19147036C211yesmaximal, characteristic, complemented
8#19147034C211yesmaximal, characteristic, complemented
9#19147030C211yesmaximal, characteristic, complemented
10#19146995C211yesmaximal, characteristic, complemented
11#19146991C211yesmaximal, characteristic, complemented
12#19146983C211yesmaximal, characteristic, complemented
13#19146982C211yesmaximal, characteristic, complemented
14#19146960C211yesmaximal, characteristic, complemented
15#19146956C211yesmaximal, characteristic, complemented
16#19146941C211yesmaximal, characteristic, complemented
17#19146937C211yesmaximal, characteristic, complemented
18#19145130C211yesmaximal, characteristic, complemented
19#19144576C211yesmaximal, characteristic, complemented
20#19144568C211yesmaximal, characteristic, complemented
21#19144522C211yesmaximal, characteristic, complemented
22#19144517C211yesmaximal, characteristic, complemented
23#19144449C211yesmaximal, characteristic, complemented
24#19144441C211yesmaximal, characteristic, complemented
25#19144263C211yesmaximal, characteristic, complemented
26#19144171C211yesmaximal, characteristic, complemented
27#19143467C211yesmaximal, characteristic, complemented
28#19143286C211yesmaximal, characteristic, complemented
29#19143194C211yesmaximal, characteristic, complemented
30C2×#107×D43C211yesmaximal, characteristic, complemented
31C43×#3346C211yesmaximal, characteristic, complemented
32C2×#13063346C2211yescharacteristic
33C2×#13063333C2211yescharacteristic
34C22×C8×D43C2211yescharacteristic
35#14583608—21no—
36#14583607C2211yescharacteristic
37#14583606C2211yescharacteristic
38#14583604C2211yescharacteristic
39#14583603—21no—
40#14583601C2211yescharacteristic
41#14583598—21no—
42#14583597C2211yescharacteristic
43#14583595C2211yescharacteristic
44#14583592—21no—
45#14583590C2211yescharacteristic
46#14583588C2211yescharacteristic
47#14583587C2211yescharacteristic
48#14583585—21no—
49#14583583C2211yescharacteristic
50#14583581—21no—
51#14583554C2211yescharacteristic
52#14583552C2211yescharacteristic
53#14583551—21no—
54#14583550C2211yescharacteristic
55#14583549C2211yescharacteristic
56#14583547—21no—
57#14583529C2211yescharacteristic
58#14583526C2211yescharacteristic
59#14583497—21no—
60#14583495—21no—
61#14583492—21no—
62#14583490—21no—
63#14583479C2211yescharacteristic
64#14583478C2211yescharacteristic
65#14583412—21no—
66#14583412C2211yescharacteristic
67#14583409—21no—
68#14583409C2211yescharacteristic
69#14583408—21no—
70#14583408—21no—
71#14583408C2211yescharacteristic
72#14583381C2211yescharacteristic
73#14583380C2211yescharacteristic
74#14583379C2211yescharacteristic
75#14583378C2211yescharacteristic
76C2×C4⋊C4×D43C2211yescharacteristic
77C2×C4⋊C4×D43C2211yescharacteristic
78#14583308C2211yescharacteristic, complemented
79#14583307C2211yescharacteristic, complemented
80#14583306C2211yescharacteristic, complemented
81#14583303C2211yescharacteristic, complemented
82#14583302C2211yescharacteristic, complemented
83#14583299C2211yescharacteristic, complemented
84#14583298C2211yescharacteristic, complemented
85#14583242C2211yescharacteristic, complemented
86#14583241C2211yescharacteristic, complemented
87#14583239C2211yescharacteristic, complemented
88#14583236C2211yescharacteristic, complemented
89#14583235C2211yescharacteristic
90#14583234C2211yescharacteristic
91#14583234C2211yescharacteristic, complemented
92#14583233C2211yescharacteristic, complemented
93#14583232C2211yescharacteristic
94#14583232C2211yescharacteristic, complemented
95#14583231C2211yescharacteristic
96#14583231C2211yescharacteristic
97#14583228C2211yescharacteristic
98#14583228C2211yescharacteristic
99#14583225C2211yescharacteristic, complemented
100#14583223C2211yescharacteristic, complemented
101#14583222C2211yescharacteristic, complemented
102#14583220C2211yescharacteristic, complemented
103#14583218C2211yescharacteristic
104#14583217C2211yescharacteristic
105#14583215C2211yescharacteristic
106#14583214C2211yescharacteristic
107#14583214C2211yescharacteristic
108#14583214C2211yescharacteristic, complemented
109#14583213C2211yescharacteristic, complemented
110#14583211C2211yescharacteristic
111#14583211C2211yescharacteristic
112#14583211C2211yescharacteristic, complemented
113#14583208C2211yescharacteristic, complemented
114#14583207C2211yescharacteristic, complemented
115#14583205C2211yescharacteristic, complemented
116#14583201C2211yescharacteristic, complemented
117#14583199C2211yescharacteristic, complemented
118#14583198C2211yescharacteristic, complemented
119#14583196C2211yescharacteristic, complemented
120#14583194C2211yescharacteristic, complemented
121#14583193C2211yescharacteristic, complemented
122#14583192C2211yescharacteristic, complemented
123#14583191C2211yescharacteristic, complemented
124#14583180C2211yescharacteristic, complemented
125#14583178C2211yescharacteristic, complemented
126#14583177C2211yescharacteristic, complemented
127#14583146C2211yescharacteristic, complemented
128#14583145C2211yescharacteristic, complemented
129#14583142C2211yescharacteristic, complemented
130#14583139C2211yescharacteristic
131#14583139C2211yescharacteristic, complemented
132#14583138C2211yescharacteristic
133#14583138C2211yescharacteristic, complemented
134#14583134C2211yescharacteristic
135#14583134C2211yescharacteristic, complemented
136#14583133C2211yescharacteristic
137#14583133C2211yescharacteristic, complemented
138#14583129C2211yescharacteristic
139#14583128C2211yescharacteristic
140#14583125C2211yescharacteristic
141#14583001C2211yescharacteristic, complemented
142#14583000C2211yescharacteristic, complemented
143#14582998C2211yescharacteristic, complemented
144C4×#10621885C2211yescharacteristic, complemented
145#14582991C2211yescharacteristic, complemented
146C4×#10621882C2211yescharacteristic, complemented
147#14582979C2211yescharacteristic, 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#14582935C2211yescharacteristic, complemented
163#14582934C2211yescharacteristic
164#14582934C2211yescharacteristic, complemented
165C2×#13063259C2211yescharacteristic
166C2×#13063258C2211yescharacteristic
167C2×#13063258C2211yescharacteristic
168C2×#13063258C2211yescharacteristic, complemented
169#107×D43C2211yescharacteristic
170#107×D43C2211yescharacteristic
171#107×D43C2211yescharacteristic
172#107×D43C2211yescharacteristic
173#107×D43C2211yescharacteristic
174#107×D43C2211yescharacteristic
175#107×D43C2211yescharacteristic
176#107×D43C2211yescharacteristic
177#107×D43C2211yescharacteristic, complemented
178#14582924C2211yescharacteristic
179#14582899C2211yescharacteristic
180#14582899C2211yescharacteristic
181#14582897C2211yescharacteristic
182#14582897C2211yescharacteristic
183#14582894C2211yescharacteristic
184#14582892C2211yescharacteristic
185#14582864C2211yescharacteristic
186#14582861C2211yescharacteristic
187#14582856C2211yescharacteristic
188C43×#554C2211yescharacteristic
189C43×#553C2211yescharacteristic
190C43×#501C2211yescharacteristic, complemented
191C43×#485C2211yescharacteristic, complemented
192C43×#484C2211yescharacteristic
193C43×#481C2211yescharacteristic
194C43×#480C2211yescharacteristic, complemented
195C43×#479C2211yescharacteristic, complemented
196C43×#474C2211yescharacteristic, complemented
197C43×#468C2211yescharacteristic, complemented
198C43×#465C2211yescharacteristic
199C43×#440C2211yescharacteristic, complemented
200C43×#435C2211yescharacteristic
201C43×#428C2211yescharacteristic, complemented
202C2×#107×C43C2211yescharacteristic
203C2×#10621902—21no—
204C2×#10621902C2311yescharacteristic
205C2×#10621898—21no—
206C2×#10621898—21no—
207C2×#10621898C2311yescharacteristic
208C2×#10621900—21no—
209C2×#10621900C2311yescharacteristic
210C22×C4×D43—21no—
211C22×C4×D43—21no—
212C22×C4×D43C2311yescharacteristic
213#13063346—24no—
214C2×#10621885C2311yescharacteristic
215C2×#10621873C2311yescharacteristic
216C2×#10621882C2311yescharacteristic
217#13063333—24no—
218C2×#10621872C2311yescharacteristic
219C2×#10621872C2311yescharacteristic
220C2×#10621872C2311yescharacteristic
221C22×C43⋊C8C2311yescharacteristic
222C22×C43⋊C8C2311yescharacteristic
223C2×C8×D43—24no—
224C2×C8×D43C2311yescharacteristic
225C2×C8×D43C2311yescharacteristic
226C2×C8×D43C2311yescharacteristic
227C2×C8×D43C2311yescharacteristic
228C2×C8×D43C2311yescharacteristic
229#13063325C2311yescharacteristic
230#13063324—21no—
231#13063324C2311yescharacteristic
232#13063324C2311yescharacteristic
233#13063323—21no—
234#13063320—21no—
235#13063320—21no—
236#13063320—21no—
237#13063319—21no—
238#13063318—21no—
239#13063318—21no—
240#13063318—21no—
241#13063317—21no—
242#13063317C2311yescharacteristic
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#13063310—21no—
255#13063310—21no—
256#13063310—21no—
257#13063310—21no—
258#13063310—21no—
259#13063310—21no—
260#13063310D411yescharacteristic
261#13063309—21no—
262#13063308—21no—
263#13063307—21no—
264#13063307—21no—
265#13063307—21no—
266#13063307—21no—
267#13063307—21no—
268#13063307—21no—
269#13063307—21no—
270#13063307D411yescharacteristic
271#13063306—21no—
272#13063305—21no—
273#13063305—21no—
274#13063305C2311yescharacteristic
275#13063305C2311yescharacteristic
276#13063304—21no—
277#13063304—21no—
278#13063304C2311yescharacteristic
279#13063304C2311yescharacteristic
280#13063303—21no—
281#13063303—21no—
282#13063303—21no—
283#13063303—21no—
284#13063303—21no—
285#13063303D411yescharacteristic
286#13063302—21no—
287#13063302—21no—
288#13063302—21no—
289#13063302—21no—
290#13063302—21no—
291#13063302D411yescharacteristic
292#13063301—21no—
293#13063301—21no—
294#13063301C2311yescharacteristic
295#13063301C2311yescharacteristic
296#13063300—21no—
297#13063300C2311yescharacteristic
298#13063300C2311yescharacteristic
299#13063299—21no—
300#13063299C2311yescharacteristic
301#13063299C2311yescharacteristic
302#13063298—21no—
303#13063298—21no—
304#13063298—21no—
305#13063298D411yescharacteristic
306#13063297—21no—
307#13063297—21no—
308#13063297—21no—
309#13063297D411yescharacteristic
310#13063296—21no—
311#13063296C2311yescharacteristic
312#13063296C2311yescharacteristic
313#13063295—21no—
314#13063295D411yescharacteristic
315#13063293—21no—
316#13063293D411yescharacteristic
317Q8×Dic43C2311yescharacteristic
318C4×Dic86—21no—
319C4×Dic86C2311yescharacteristic
320#13063290—21no—
321#13063290C2311yescharacteristic
322C4×D172—21no—
323C4×D172—21no—
324C4×D172C2311yescharacteristic
325C4×D172C2311yescharacteristic
326D4×Dic43—21no—
327D4×Dic43—21no—
328D4×Dic43—21no—
329D4×Dic43C2311yescharacteristic
330#13063287—21no—
331#13063287—21no—
332#13063287—21no—
333#13063287C2311yescharacteristic
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#13063284C2311yescharacteristic
349#13063283—21no—
350#13063283—21no—
351#13063283C2311yescharacteristic
352#13063283C2311yescharacteristic
353#13063283C2311yescharacteristic
354#13063283C2311yescharacteristic
355#13063282—21no—
356#13063282—21no—
357#13063282—21no—
358#13063282C2311yescharacteristic
359#13063281—21no—
360C2×C4⋊Dic43C2311yescharacteristic
361C2×C4⋊Dic43C2311yescharacteristic
362C2×C4⋊Dic43C2311yescharacteristic
363C2×Dic43⋊C4—21no—
364C2×Dic43⋊C4—21no—
365C2×Dic43⋊C4—21no—
366C4⋊C4×D43—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#13063259C2311yescharacteristic
385#13063259C2311yescharacteristic
386#13063259C2311yescharacteristic
387#13063258C2311yescharacteristic
388#13063258C2311yescharacteristic
389#13063258C2311yescharacteristic
390#13063258C2311yescharacteristic
391#13063258C2311yescharacteristic
392#13063258C2311yescharacteristic
393#13063258C2311yescharacteristic
394#13063258C2311yescharacteristic
395#13063258C2311yescharacteristic
396#13063258C2311yescharacteristic
397#13063258C2311yescharacteristic
398#13063258C2311yescharacteristic
399#13063258C2311yescharacteristic
400#13063258C2311yescharacteristic
401#13063257C2311yescharacteristic
402#13063257C2311yescharacteristic
403#13063257C2311yescharacteristic
404#13063256C2311yescharacteristic
405#13063256C2311yescharacteristic
406#13063256C2311yescharacteristic
407#13063256C2311yescharacteristic
408C4⋊(C43⋊C8)C2311yescharacteristic
409Dic43⋊C8C2311yescharacteristic
410Dic43⋊C8C2311yescharacteristic
411#13063250C2311yescharacteristic
412#13063250C2311yescharacteristic
413#13063250C2311yescharacteristic
414#13063249C2311yescharacteristic
415#13063249C2311yescharacteristic
416#13063249C2311yescharacteristic
417#13063248C2311yescharacteristic
418#13063248C2311yescharacteristic
419#13063248C2311yescharacteristic
420#13063247C2311yescharacteristic
421#13063247C2311yescharacteristic
422#13063247C2311yescharacteristic
423#13063246C2311yescharacteristic
424#13063246C2311yescharacteristic
425#13063246C2311yescharacteristic
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#13063235C2311yescharacteristic
436C4×C43⋊C8C2311yescharacteristic
437C8×Dic43C2311yescharacteristic
438C2×SD16×C43C2311yescharacteristic
439C2×M16×C43C2311yescharacteristic
440C22×C8×C43C2311yescharacteristic
441C4⋊Q8×C43C2311yescharacteristic
442#126×C43—21no—
443#125×C43—21no—
444#125×C43C2311yescharacteristic
445#123×C43—21no—
446C22⋊Q8×C43—21no—
447C22⋊Q8×C43—21no—
448C22⋊Q8×C43C2311yescharacteristic
449C22⋊Q8×C43C2311yescharacteristic
450#121×C43—21no—
451#121×C43C2311yescharacteristic
452#121×C43C2311yescharacteristic
453C4×Q8×C43C2311yescharacteristic
454C4×D4×C43—21no—
455C4×D4×C43—21no—
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#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
480#97×C43C2311yescharacteristic
481C23×D43C2×D411yescharacteristic
482C2×Q8×C43—21no—
483C2×Q8×C43C2411yescharacteristic
484C2×D4×C43—21no—
485C2×D4×C43—21no—
486C2×D4×C43C2×D411yescharacteristic
487C2×D4×C43C2411yescharacteristic
488C22×C4×C43—21no—
489C22×C4×C43—21no—
490C22×C4×C43—21no—
491C22×C4×C43—21no—
492C22×C4×C43C2411yescharacteristic
493C22×C4×C43C2411yescharacteristic
494C2×C22⋊D43—21no—
495C2×C22⋊D43—21no—
496C2×C22⋊D43—21no—
497C2×C22⋊D43—21no—
498C2×C22⋊D43—21no—
499C2×C22⋊D43C2×D411yescharacteristic
500C2×C22⋊D43C2×D411yescharacteristic
501C2×C22⋊D43C2×D411yescharacteristic
502C2×C22⋊D43C2×D411yescharacteristic
503C22×Dic43—21no—
504C22×Dic43—21no—
505C22×Dic43—21no—
506C22×Dic43—21no—
507C22×Dic43—21no—
508C22×Dic43C2×D411yescharacteristic
509#10621902—22no—
510#10621902—22no—
511#10621902—82no—
512#10621900—22no—
513#10621900—22no—
514#10621900—82no—
515#10621898—22no—
516#10621898—22no—
517#10621898—82no—
518#10621898—82no—
519C2×D172—21no—
520C2×D172—21no—
521C2×D172—21no—
522C2×D172C2×D411yescharacteristic
523C2×D172C2×D411yescharacteristic
524C2×D172C2411yescharacteristic
525C2×C4×D43—22no—
526C2×C4×D43—22no—
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—21no—
537C2×C4×D43—21no—
538C2×C4×D43—21no—
539C2×C4×D43—21no—
540C2×C4×D43—82no—
541C2×C4×D43—82no—
542C2×C4×D43C2×D411yescharacteristic
543C2×C4×D43C2×D411yescharacteristic
544C2×C4×D43C2411yescharacteristic
545C2×C4×D43C2411yescharacteristic
546C2×C4×D43C2411yescharacteristic
547C2×Dic86—21no—
548C2×Dic86—21no—
549C2×Dic86—21no—
550C2×Dic86C2×D411yescharacteristic
551C2×Dic86C2411yescharacteristic
552SD16×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×C43—21no—
566C4⋊C4×C43—21no—
567C4⋊C4×C43—21no—
568C4⋊C4×C43C2×D411yescharacteristic
569C4⋊C4×C43C2411yescharacteristic
570C4⋊C4×C43C2411yescharacteristic
571C4⋊C4×C43C2411yescharacteristic
572C4⋊C4×C43C2411yescharacteristic
573C4⋊C4×C43C2411yescharacteristic
574C4⋊C4×C43C2411yescharacteristic
575C22⋊C4×C43—21no—
576C22⋊C4×C43—21no—
577C22⋊C4×C43—21no—
578C22⋊C4×C43—21no—
579C22⋊C4×C43—21no—
580C22⋊C4×C43—21no—
581C22⋊C4×C43C2×D411yescharacteristic
582C22⋊C4×C43C2×D411yescharacteristic
583C42×C43—21no—
584C42×C43—21no—
585C42×C43C2411yescharacteristic
586C22⋊Dic43—21no—
587C22⋊Dic43—21no—
588C22⋊Dic43—21no—
589C22⋊Dic43—21no—
590C22⋊Dic43—21no—
591C22⋊Dic43—21no—
592C22⋊Dic43C2×D411yescharacteristic
593C22⋊Dic43C2×D411yescharacteristic
594#10621885—22no—
595#10621882—22no—
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⋊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⋊C4—21no—
648Dic43⋊C4—21no—
649Dic43⋊C4—21no—
650Dic43⋊C4—21no—
651Dic43⋊C4—21no—
652Dic43⋊C4—21no—
653Dic43⋊C4—21no—
654Dic43⋊C4C2×D411yescharacteristic
655Dic43⋊C4C2×D411yescharacteristic
656Dic43⋊C4C2×D411yescharacteristic
657Dic43⋊C4C2×D411yescharacteristic
658C4×Dic43—21no—
659C4×Dic43—21no—
660C4×Dic43—21no—
661C4×Dic43—21no—
662C4×Dic43—21no—
663C4×Dic43—21no—
664C4×Dic43—21no—
665C4×Dic43—21no—
666C4×Dic43C2411yescharacteristic
667C2×C43⋊C8—22no—
668C2×C43⋊C8—22no—
669C2×C43⋊C8C2411yescharacteristic
670C2×C43⋊C8C2411yescharacteristic
671C2×C43⋊C8C2411yescharacteristic
672C2×C43⋊C8C2411yescharacteristic
673#10621873—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×C43C22×D411yescharacteristic
684C23×C43C22×D411yescharacteristic
685C22×D43—22no—
686C22×D43—22no—
687C22×D43—22no—
688C22×D43—21no—
689C22×D43C22×D411yescharacteristic
690C22×D43C22×D411yescharacteristic
691C22×D43C22×D411yescharacteristic
692Q8×C43—21no—
693Q8×C43—21no—
694Q8×C43—81no—
695D4×C43—22no—
696D4×C43—21no—
697D4×C43—21no—
698D4×C43—42no—
699D4×C43—81no—
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—21no—
709C2×C4×C43—21no—
710C2×C4×C43—21no—
711C2×C4×C43—81no—
712C2×C4×C43—81no—
713C2×C4×C43—81no—
714C2×C4×C43—81no—
715C2×C4×C43C22×D411yescharacteristic
716C2×C4×C43C22×D411yescharacteristic
717C2×C4×C43C22×D411yescharacteristic
718C2×C4×C43C22×D411yescharacteristic
719C2×C4×C43C2511yescharacteristic
720C22⋊D43—22no—
721C22⋊D43—22no—
722C22⋊D43—22no—
723C22⋊D43—22no—
724C22⋊D43—42no—
725C22⋊D43—42no—
726C22⋊D43—42no—
727C22⋊D43—81no—
728C22⋊D43—81no—
729C2×Dic43—22no—
730C2×Dic43—21no—
731C2×Dic43—21no—
732C2×Dic43—21no—
733C2×Dic43—21no—
734C2×Dic43—21no—
735C2×Dic43—21no—
736C2×Dic43—21no—
737C2×Dic43—42no—
738C2×Dic43—81no—
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—22no—
749D172—21no—
750D172—21no—
751D172—42no—
752D172—42no—
753D172—81no—
754C4×D43—22no—
755C4×D43—21no—
756C4×D43—21no—
757C4×D43—21no—
758C4×D43—21no—
759C4×D43—22no—
760C4×D43—42no—
761C4×D43—42no—
762C4×D43—42no—
763C4×D43—42no—
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×D43C2×#4112yes—
774C4×D432−1+412yes—
775Dic86—22no—
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#61258—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#57812yes—
799C22×C43C23×D411yescharacteristic
800C2×D43—28no—
801C2×D43—21no—
802C2×D43—21no—
803C2×D43—21no—
804C2×D43—21no—
805C2×D43—21no—
806C2×D43—21no—
807C2×D43—21no—
808C2×D43—41no—
809C2×D43—41no—
810C2×D43—41no—
811C2×D43#54712yes—
812C2×D43#57612yes—
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×C43—41no—
824C4×C43C22×#4111yescharacteristic
825C4×C43C2×2−1+411yescharacteristic
826Dic43—21no—
827Dic43—21no—
828Dic43—21no—
829Dic43—21no—
830Dic43—41no—
831Dic43—41no—
832Dic43—41no—
833Dic43—41no—
834Dic43—41no—
835Dic43—41no—
836Dic43—41no—
837Dic43#54712yes—
838#3492—431no—
839#3492—431no—
840#3346—431no—
841#3346—431no—
842#3346—431no—
843#3346D4311yescharacteristic, complemented
844#3343—431no—
845#3343—431no—
846#3343—431no—
847#3343—431no—
848#3339—431no—
849#3339—431no—
850#3338—431no—
851#3338—431no—
852#3336—431no—
853#3336—431no—
854#3334—431no—
855#3334—431no—
856#3164—431no—
857#3098—431no—
858#3098—431no—
859#3092—431no—
860#3092—431no—
861#3083—431no—
862#3083—431no—
863#3061—431no—
864#3050—431no—
865#2951—431no—
866#2929—431no—
867#2913—431no—
868C22×#107—431no—
869C2×C43—22no—
870C2×C43—41no—
871C2×C43—81no—
872C2×C43C2×#54711yescharacteristic
873C2×C43C2×#57611yescharacteristic
874C2×C43C2×#57811yescharacteristic
875D43—22no—
876D43—22no—
877D43—41no—
878D43—81no—
879C2×#135—431no—
880C2×#131—431no—
881C23×C8—431no—
882#554—431no—
883#554—431no—
884#554—431no—
885#554—861no—
886#554—861no—
887#554C2×D4311yescharacteristic
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—431no—
904#547—861no—
905#547—861no—
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#500—431no—
932#500—431no—
933#499—431no—
934#499—431no—
935#485—431no—
936#485—431no—
937#485—431no—
938#485C2×D4311yescharacteristic, complemented
939#484—431no—
940#484—431no—
941#484—431no—
942#484—431no—
943#484—431no—
944#484—431no—
945#484—431no—
946#484C2×D4311yescharacteristic
947#483—431no—
948#483—431no—
949#483—431no—
950#483—431no—
951#482—431no—
952#482—431no—
953#482—431no—
954#482—431no—
955#481—431no—
956#481—431no—
957#481—431no—
958#481C2×D4311yescharacteristic
959#480—431no—
960#480—431no—
961#480—431no—
962#480—431no—
963#480—431no—
964#480—431no—
965#480—431no—
966#480C2×D4311yescharacteristic, complemented
967#479—431no—
968#479—431no—
969#479—431no—
970#479C2×D4311yescharacteristic, complemented
971#478—431no—
972#478—431no—
973#478—431no—
974#478—431no—
975#477—431no—
976#477—431no—
977#477—431no—
978#477—431no—
979#474—431no—
980#474—431no—
981#474—431no—
982#474C2×D4311yescharacteristic, complemented
983#468—431no—
984#468—431no—
985#468—431no—
986#468C2×D4311yescharacteristic, complemented
987#467—431no—
988#467—431no—
989#467—431no—
990#467—431no—
991#466—431no—
992#466—431no—
993#466—431no—
994#466—431no—
995#465—431no—
996#465—431no—
997#465—431no—
998#465C2×D4311yescharacteristic
999#440—431no—
1000#440—431no—
1001#440—431no—
1002#440C2×D4311yescharacteristic, complemented
1003C4×Q16—431no—
1004C4×Q16—431no—
1005C4×D8—431no—
1006C4×D8—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×#107—431no—
1027C2×#107—431no—
1028C2×#107—431no—
1029C2×#107—431no—
1030C2×#107—431no—
1031C2×#107—431no—
1032C2×#107—431no—
1033C2×#107—431no—
1034C2×#107—431no—
1035C2×#107—431no—
1036C2×#107—431no—
1037C2×#107—431no—
1038C2×#107—431no—
1039C2×#107C2×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#6125811yescharacteristic, complemented, Sylow
1051C2×#41—431no—
1052C2×#41—431no—
1053C2×#41—431no—
1054C2×#41—861no—
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×SD16C22×D4311yescharacteristic
1065C2×D8—431no—
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—21no—
1095#125—431no—
1096#125—431no—
1097#125—431no—
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—431no—
1110#123—431no—
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—
1122#123—861no—
1123#123—861no—
1124#123—861no—
1125#123—861no—
1126#123—861no—
1127#123—861no—
1128C22⋊Q8—21no—
1129C22⋊Q8—21no—
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—861no—
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⋊Q8C22×D4311yescharacteristic
1155C22⋊Q8C22×D4311yescharacteristic
1156#121—21no—
1157#121—431no—
1158#121—431no—
1159#121—431no—
1160#121—431no—
1161#121—431no—
1162#121—431no—
1163#121—431no—
1164#121—431no—
1165#121—861no—
1166#121—861no—
1167#121—861no—
1168#121—861no—
1169#121—861no—
1170#121—861no—
1171#121—861no—
1172#121—861no—
1173#121—861no—
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—861no—
1184C4×Q8—861no—
1185C4×Q8C22×D4311yescharacteristic
1186C4×D4—21no—
1187C4×D4—21no—
1188C4×D4—431no—
1189C4×D4—431no—
1190C4×D4—431no—
1191C4×D4—431no—
1192C4×D4—431no—
1193C4×D4—431no—
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×D4—861no—
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#107—431no—
1261#107—431no—
1262#107—431no—
1263#107—431no—
1264#107—431no—
1265#107—431no—
1266#107—431no—
1267#107—431no—
1268#107—431no—
1269#107—431no—
1270#107—431no—
1271#107—431no—
1272#107—431no—
1273#107C22×D4311yescharacteristic
1274#107C22×D4311yescharacteristic
1275#107C22×D4311yescharacteristic
1276#107C22×D4311yescharacteristic
1277#107C22×D4311yescharacteristic
1278#107C22×D4311yescharacteristic
1279#106—431no—
1280#106—431no—
1281#106—431no—
1282#106—431no—
1283#106—431no—
1284#106—431no—
1285#106—431no—
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#103C22×D4311yescharacteristic
1303#103C22×D4311yescharacteristic
1304#103C22×D4311yescharacteristic
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#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—862no—
1331#41—862no—
1332#41—862no—
1333#41—862no—
1334#41—862no—
1335#41—862no—
1336#41—3442no—
1337#41—3442no—
1338#41—3442no—
1339#41—3442no—
1340C2×Q8—21no—
1341C2×Q8—431no—
1342C2×Q8—431no—
1343C2×Q8—861no—
1344C2×Q8—861no—
1345C2×Q8—861no—
1346C2×Q8C23×D4311yescharacteristic
1347C2×D4—21no—
1348C2×D4—21no—
1349C2×D4—431no—
1350C2×D4—431no—
1351C2×D4—431no—
1352C2×D4—431no—
1353C2×D4—431no—
1354C2×D4—431no—
1355C2×D4—431no—
1356C2×D4—861no—
1357C2×D4—861no—
1358C2×D4—861no—
1359C2×D4—861no—
1360C2×D4—861no—
1361C2×D4—861no—
1362C2×D4—861no—
1363C2×D4—861no—
1364C2×D4D4×D4311yescharacteristic
1365C2×D4C23×D4311yescharacteristic
1366C22×C4—21no—
1367C22×C4—21no—
1368C22×C4—21no—
1369C22×C4—21no—
1370C22×C4—431no—
1371C22×C4—431no—
1372C22×C4—431no—
1373C22×C4—431no—
1374C22×C4—431no—
1375C22×C4—431no—
1376C22×C4—862no—
1377C22×C4—862no—
1378C22×C4—861no—
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—22no—
1402SD16—862no—
1403D8—862no—
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—21no—
1431C4⋊C4—21no—
1432C4⋊C4—21no—
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—431no—
1442C4⋊C4—431no—
1443C4⋊C4—431no—
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—431no—
1489C22⋊C4—431no—
1490C22⋊C4—431no—
1491C22⋊C4—431no—
1492C22⋊C4—431no—
1493C22⋊C4—431no—
1494C22⋊C4—431no—
1495C22⋊C4—431no—
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⋊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—21no—
1520C42—431no—
1521C42—861no—
1522C42—861no—
1523C42—861no—
1524C42—861no—
1525C42—861no—
1526C42—861no—
1527C42—861no—
1528C42—861no—
1529C42C23×D4311yescharacteristic
1530C23—21no—
1531C23—431no—
1532C23—431no—
1533C23—431no—
1534C23—862no—
1535C23—862no—
1536C23—862no—
1537C23—861no—
1538C23C2×D4×D4311yescharacteristic
1539C23C2×D4×D4311yescharacteristic
1540Q8—21no—
1541Q8—21no—
1542Q8—81no—
1543Q8—862no—
1544Q8—861no—
1545Q8—861no—
1546Q8—3441no—
1547Q8—3441no—
1548Q8—3441no—
1549D4—22no—
1550D4—21no—
1551D4—21no—
1552D4—42no—
1553D4—81no—
1554D4—862no—
1555D4—862no—
1556D4—862no—
1557D4—862no—
1558D4—862no—
1559D4—862no—
1560D4—861no—
1561D4—861no—
1562D4—3441no—
1563D4—3441no—
1564D4—3441no—
1565D4—1722no—
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—21no—
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—3441no—
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—1722no—
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—432no—
1646C22—432no—
1647C22—868no—
1648C22—861no—
1649C22—861no—
1650C22—861no—
1651C22—861no—
1652C22—861no—
1653C22—861no—
1654C22—861no—
1655C22—1721no—
1656C22—1721no—
1657C22—1721no—
1658C22#1458371512yes—
1659C22C22×D4×D4311yescharacteristic
1660C4—21no—
1661C4—21no—
1662C4—21no—
1663C4—21no—
1664C4—41no—
1665C4—41no—
1666C4—41no—
1667C4—41no—
1668C4—41no—
1669C4—41no—
1670C4—41no—
1671C4—432no—
1672C4—861no—
1673C4—861no—
1674C4—861no—
1675C4—861no—
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—862no—
1689C2—862no—
1690C2—3441no—
1691C2—1721no—
1692C2#547×D4311yescharacteristic
1693C2#576×D4311yescharacteristic
1694C2C2×#1458371511yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3346C2
socleC22×C43C23×D4
hypercenter#3346D43
hypocenterC43#61258
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3346

Complements

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

NH ≅ G/Ntype
1. #19148303C2semidirect
2. #19148299C2semidirect
3. #19147086C2semidirect
4. #19147082C2semidirect
5. #19147076C2semidirect
6. #19147040C2semidirect
7. #19147036C2semidirect
8. #19147034C2semidirect
9. #19147030C2semidirect
10. #19146995C2semidirect
11. #19146991C2semidirect
12. #19146983C2semidirect
13. #19146982C2semidirect
14. #19146960C2semidirect
15. #19146956C2semidirect
16. #19146941C2semidirect
17. #19146937C2semidirect
18. #19145130C2semidirect
19. #19144576C2semidirect
20. #19144568C2semidirect
21. #19144522C2semidirect
22. #19144517C2semidirect
23. #19144449C2semidirect
24. #19144441C2semidirect
25. #19144263C2semidirect
26. #19144171C2semidirect
27. #19143467C2semidirect
28. #19143286C2semidirect
29. #19143194C2semidirect
30. C2×#107×D43C2semidirect
31. C43×#3346C2semidirect
78. #14583308C22semidirect
79. #14583307C22semidirect
80. #14583306C22semidirect
81. #14583303C22semidirect
82. #14583302C22semidirect
83. #14583299C22semidirect
84. #14583298C22semidirect
85. #14583242C22semidirect
86. #14583241C22semidirect
87. #14583239C22semidirect
88. #14583236C22semidirect
91. #14583234C22semidirect
92. #14583233C22semidirect
94. #14583232C22semidirect
99. #14583225C22semidirect
100. #14583223C22semidirect
101. #14583222C22semidirect
102. #14583220C22semidirect
108. #14583214C22semidirect
109. #14583213C22semidirect
112. #14583211C22semidirect
113. #14583208C22semidirect
114. #14583207C22semidirect
115. #14583205C22semidirect
116. #14583201C22semidirect
117. #14583199C22semidirect
118. #14583198C22semidirect
119. #14583196C22semidirect
120. #14583194C22semidirect
121. #14583193C22semidirect
122. #14583192C22semidirect
123. #14583191C22semidirect
124. #14583180C22semidirect
125. #14583178C22semidirect
126. #14583177C22semidirect
127. #14583146C22semidirect
128. #14583145C22semidirect
129. #14583142C22semidirect
131. #14583139C22semidirect
133. #14583138C22semidirect
135. #14583134C22semidirect
137. #14583133C22semidirect
141. #14583001C22semidirect
142. #14583000C22semidirect
143. #14582998C22semidirect
144. C4×#10621885C22semidirect
145. #14582991C22semidirect
146. C4×#10621882C22semidirect
147. #14582979C22semidirect
155. #14582941C22semidirect
158. #14582940C22semidirect
161. #14582938C22semidirect
162. #14582935C22semidirect
164. #14582934C22semidirect
168. C2×#13063258C22semidirect
177. #107×D43C22semidirect
190. C43×#501C22semidirect
191. C43×#485C22semidirect
194. C43×#480C22semidirect
195. C43×#479C22semidirect
196. C43×#474C22semidirect
197. C43×#468C22semidirect
199. C43×#440C22semidirect
201. C43×#428C22semidirect
681. C8×D43#41semidirect
843. #3346D43semidirect
930. #501C2×D43semidirect
938. #485C2×D43semidirect
966. #480C2×D43semidirect
970. #479C2×D43semidirect
982. #474C2×D43semidirect
986. #468C2×D43semidirect
1002. #440C2×D43semidirect
1022. #428C2×D43semidirect
1050. C43#61258semidirect

Maximal subgroups

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

subgroupindex
#191483032
#191482992
#191470862
#191470822
#191470762
#191470402
#191470362
#191470342
#191470302
#191469952
#191469912
#191469832
#191469822
#191469602
#191469562
#191469412
#191469372
#191451302
#191445762
#191445682
#191445222
#191445172
#191444492
#191444412
#191442632
#191441712
#191434672
#191432862
#191431942
C2×#107×D432
C43×#33462
#6125843