Finite Group Databasebeta

← #25975497

Subgroups — #25975497

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#19148297C211yesmaximal, characteristic, complemented
3#19147072C211yesmaximal, characteristic, complemented
4#19147065C211yesmaximal, characteristic, complemented
5#19147063C211yesmaximal, characteristic, complemented
6#19147058C211yesmaximal, characteristic, complemented
7#19147054C211yesmaximal, characteristic, complemented
8#19147053C211yesmaximal, characteristic, complemented
9#19147047C211yesmaximal, characteristic, complemented
10#19147044C211yesmaximal, characteristic, complemented
11#19146979C211yesmaximal, characteristic, complemented
12#19146976C211yesmaximal, characteristic, complemented
13#19146970C211yesmaximal, characteristic, complemented
14#19146969C211yesmaximal, characteristic, complemented
15#19146951C211yesmaximal, characteristic, complemented
16#19146948C211yesmaximal, characteristic, complemented
17#19146947C211yesmaximal, characteristic, complemented
18#19145120C211yesmaximal, characteristic, complemented
19#19144585C211yesmaximal, characteristic, complemented
20#19144579C211yesmaximal, characteristic, complemented
21#19144519C211yesmaximal, characteristic, complemented
22#19144517C211yesmaximal, characteristic, complemented
23#19144454C211yesmaximal, characteristic, complemented
24#19144452C211yesmaximal, characteristic, complemented
25#19144252C211yesmaximal, characteristic, complemented
26#19144171C211yesmaximal, characteristic, complemented
27#19143473C211yesmaximal, characteristic, complemented
28#19143284C211yesmaximal, characteristic, complemented
29#19143186C211yesmaximal, characteristic, complemented
30C2×#106×D43C211yesmaximal, characteristic, complemented
31C43×#3335C211yesmaximal, characteristic, complemented
32C2×#13063346C2211yescharacteristic
33C2×#13063331C2211yescharacteristic
34C22×C8×D43C2211yescharacteristic
35#14583610C2211yescharacteristic
36#14583607C2211yescharacteristic
37#14583604C2211yescharacteristic
38#14583603—21no—
39#14583603—21no—
40#14583599C2211yescharacteristic
41#14583598—21no—
42#14583597C2211yescharacteristic
43#14583596C2211yescharacteristic
44#14583595C2211yescharacteristic
45#14583594—21no—
46#14583590C2211yescharacteristic
47#14583589C2211yescharacteristic
48#14583586—21no—
49#14583584C2211yescharacteristic
50#14583583C2211yescharacteristic
51#14583581—21no—
52#14583552C2211yescharacteristic
53#14583551—21no—
54#14583550C2211yescharacteristic
55#14583549C2211yescharacteristic
56#14583548—21no—
57#14583526C2211yescharacteristic
58#14583526C2211yescharacteristic
59#14583497—21no—
60#14583495—21no—
61#14583495—21no—
62#14583492—21no—
63#14583479C2211yescharacteristic
64#14583478C2211yescharacteristic
65#14583412—21no—
66#14583412C2211yescharacteristic
67#14583409C2211yescharacteristic
68#14583408—21no—
69#14583408C2211yescharacteristic
70#14583407—21no—
71#14583406—21no—
72#14583381C2211yescharacteristic
73#14583380C2211yescharacteristic
74#14583380C2211yescharacteristic
75#14583378C2211yescharacteristic
76C2×C4⋊C4×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#14583243C2211yescharacteristic, complemented
86#14583241C2211yescharacteristic, complemented
87#14583239C2211yescharacteristic, complemented
88#14583237C2211yescharacteristic, complemented
89#14583235C2211yescharacteristic
90#14583234C2211yescharacteristic
91#14583233C2211yescharacteristic
92#14583233C2211yescharacteristic
93#14583231C2211yescharacteristic
94#14583231C2211yescharacteristic
95#14583231C2211yescharacteristic, complemented
96#14583229C2211yescharacteristic, complemented
97#14583228C2211yescharacteristic, complemented
98#14583227C2211yescharacteristic
99#14583225C2211yescharacteristic, complemented
100#14583224C2211yescharacteristic, complemented
101#14583221C2211yescharacteristic, complemented
102#14583220C2211yescharacteristic, complemented
103#14583219C2211yescharacteristic
104#14583219C2211yescharacteristic
105#14583219C2211yescharacteristic, complemented
106#14583217C2211yescharacteristic, complemented
107#14583216C2211yescharacteristic, complemented
108#14583215C2211yescharacteristic
109#14583213C2211yescharacteristic
110#14583212C2211yescharacteristic
111#14583211C2211yescharacteristic
112#14583211C2211yescharacteristic
113#14583209C2211yescharacteristic, complemented
114#14583208C2211yescharacteristic, complemented
115#14583207C2211yescharacteristic, complemented
116#14583206C2211yescharacteristic, complemented
117#14583200C2211yescharacteristic, complemented
118#14583199C2211yescharacteristic, complemented
119#14583198C2211yescharacteristic, complemented
120#14583197C2211yescharacteristic, complemented
121#14583188C2211yescharacteristic, complemented
122#14583187C2211yescharacteristic, complemented
123#14583186C2211yescharacteristic, complemented
124#14583183C2211yescharacteristic, complemented
125#14583182C2211yescharacteristic, complemented
126#14583181C2211yescharacteristic, complemented
127#14583156C2211yescharacteristic, complemented
128#14583155C2211yescharacteristic, complemented
129#14583151C2211yescharacteristic, complemented
130#14583150C2211yescharacteristic, complemented
131#14583139C2211yescharacteristic
132#14583138C2211yescharacteristic
133#14583134C2211yescharacteristic
134#14583133C2211yescharacteristic
135#14583129C2211yescharacteristic
136#14583129C2211yescharacteristic, complemented
137#14583128C2211yescharacteristic
138#14583128C2211yescharacteristic, complemented
139#14583125C2211yescharacteristic
140#14583125C2211yescharacteristic, complemented
141#14583009C2211yescharacteristic, complemented
142#14583008C2211yescharacteristic, complemented
143#14583004C2211yescharacteristic, complemented
144#14583003C2211yescharacteristic, complemented
145C4×#10621873C2211yescharacteristic, complemented
146SD16×Dic43C2211yescharacteristic, complemented
147#14582986C2211yescharacteristic, complemented
148#14582973C2211yescharacteristic
149#14582971C2211yescharacteristic
150#14582969C2211yescharacteristic
151#14582967C2211yescharacteristic
152C8×D172C2211yescharacteristic
153C8×C22⋊D43C2211yescharacteristic
154C8×C22⋊D43C2211yescharacteristic
155#14582939C2211yescharacteristic, complemented
156#14582939C2211yescharacteristic, complemented
157#14582938C2211yescharacteristic
158#14582938C2211yescharacteristic
159#14582938C2211yescharacteristic
160#14582938C2211yescharacteristic
161#14582938C2211yescharacteristic, complemented
162#14582938C2211yescharacteristic, complemented
163#14582937C2211yescharacteristic, complemented
164#14582934C2211yescharacteristic
165#14582934C2211yescharacteristic, complemented
166C2×#13063257C2211yescharacteristic
167C2×#13063256C2211yescharacteristic
168C2×#13063256C2211yescharacteristic
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#14582899C2211yescharacteristic
180#14582899C2211yescharacteristic
181#14582897C2211yescharacteristic
182#14582897C2211yescharacteristic
183#14582894C2211yescharacteristic
184#14582892C2211yescharacteristic
185#14582864C2211yescharacteristic
186#14582861C2211yescharacteristic
187#14582853C2211yescharacteristic
188C43×#554C2211yescharacteristic
189C43×#547C2211yescharacteristic
190C43×#498C2211yescharacteristic, complemented
191C43×#483C2211yescharacteristic
192C43×#483C2211yescharacteristic, complemented
193C43×#481C2211yescharacteristic
194C43×#481C2211yescharacteristic, complemented
195C43×#476C2211yescharacteristic, complemented
196C43×#475C2211yescharacteristic, complemented
197C43×#465C2211yescharacteristic
198C43×#465C2211yescharacteristic, complemented
199C4×SD16×C43C2211yescharacteristic, complemented
200C8×D4×C43C2211yescharacteristic
201C2×#106×C43C2211yescharacteristic
202C2×#106×C43C2211yescharacteristic, complemented
203C2×#10621902—21no—
204C2×#10621902C2311yescharacteristic
205C2×#10621898—21no—
206C2×#10621898C2311yescharacteristic
207C2×#10621900—21no—
208C2×#10621900C2311yescharacteristic
209C22×C4×D43—21no—
210C22×C4×D43—21no—
211C22×C4×D43C2311yescharacteristic
212#13063346—24no—
213C2×#10621885C2311yescharacteristic
214C2×#10621873C2311yescharacteristic
215C2×#10621882C2311yescharacteristic
216#13063331—24no—
217C2×#10621877C2311yescharacteristic
218C2×#10621872C2311yescharacteristic
219C2×#10621872C2311yescharacteristic
220C2×#10621872C2311yescharacteristic
221C22×C43⋊C8C2311yescharacteristic
222C2×C8×D43—24no—
223C2×C8×D43C2311yescharacteristic
224C2×C8×D43C2311yescharacteristic
225C2×C8×D43C2311yescharacteristic
226C2×C8×D43C2311yescharacteristic
227C2×C8×D43C2311yescharacteristic
228#13063324C2311yescharacteristic
229#13063324C2311yescharacteristic
230#13063323—21no—
231#13063323—21no—
232#13063320—21no—
233#13063320—21no—
234#13063320—21no—
235#13063319—21no—
236#13063318—21no—
237#13063318—21no—
238#13063318—21no—
239#13063318—21no—
240#13063317C2311yescharacteristic
241#13063317C2311yescharacteristic
242#13063316—21no—
243#13063316C2311yescharacteristic
244#13063316C2311yescharacteristic
245#13063315—21no—
246#13063315—21no—
247#13063315—21no—
248#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#13063310D411yescharacteristic
260#13063308—21no—
261#13063308—21no—
262#13063308—21no—
263#13063307—21no—
264#13063307—21no—
265#13063307—21no—
266#13063307—21no—
267#13063307D411yescharacteristic
268#13063306—21no—
269#13063306—21no—
270#13063306—21no—
271#13063305—21no—
272#13063305C2311yescharacteristic
273#13063305C2311yescharacteristic
274#13063304—21no—
275#13063304C2311yescharacteristic
276#13063304C2311yescharacteristic
277#13063303—21no—
278#13063303—21no—
279#13063303—21no—
280#13063303—21no—
281#13063303—21no—
282#13063303D411yescharacteristic
283#13063302—21no—
284#13063302—21no—
285#13063302—21no—
286#13063302D411yescharacteristic
287#13063301—21no—
288#13063301—21no—
289#13063301—21no—
290#13063301—21no—
291#13063301—21no—
292#13063301C2311yescharacteristic
293#13063301C2311yescharacteristic
294#13063300—21no—
295#13063300C2311yescharacteristic
296#13063300C2311yescharacteristic
297#13063299—21no—
298#13063299C2311yescharacteristic
299#13063299C2311yescharacteristic
300#13063298—21no—
301#13063298—21no—
302#13063298—21no—
303#13063298—21no—
304#13063298D411yescharacteristic
305#13063297—21no—
306#13063297—21no—
307#13063297D411yescharacteristic
308#13063296—21no—
309#13063296—21no—
310#13063296C2311yescharacteristic
311#13063296C2311yescharacteristic
312#13063295—21no—
313#13063295D411yescharacteristic
314#13063293—21no—
315#13063293D411yescharacteristic
316Q8×Dic43C2311yescharacteristic
317C4×Dic86C2311yescharacteristic
318#13063290—21no—
319#13063290—21no—
320#13063290C2311yescharacteristic
321C4×D172—21no—
322C4×D172C2311yescharacteristic
323C4×D172C2311yescharacteristic
324D4×Dic43—21no—
325D4×Dic43C2311yescharacteristic
326#13063287—21no—
327#13063287—21no—
328#13063287—21no—
329#13063287—21no—
330#13063287—21no—
331#13063287C2311yescharacteristic
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⋊D43—21no—
340C4×C22⋊D43C2311yescharacteristic
341C4×C22⋊D43C2311yescharacteristic
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#13063284C2311yescharacteristic
351#13063283—21no—
352#13063283C2311yescharacteristic
353#13063283C2311yescharacteristic
354#13063283C2311yescharacteristic
355#13063283C2311yescharacteristic
356#13063282—21no—
357#13063282—21no—
358#13063282C2311yescharacteristic
359#13063281—21no—
360#13063281—21no—
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#13063258C2311yescharacteristic
386#13063258C2311yescharacteristic
387#13063258C2311yescharacteristic
388#13063258C2311yescharacteristic
389#13063258C2311yescharacteristic
390#13063258C2311yescharacteristic
391#13063257C2311yescharacteristic
392#13063257C2311yescharacteristic
393#13063257C2311yescharacteristic
394#13063257C2311yescharacteristic
395#13063257C2311yescharacteristic
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#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#13063236C2311yescharacteristic
436#13063235C2311yescharacteristic
437C8×Dic43C2311yescharacteristic
438C2×#41×C43—21no—
439C2×SD16×C43C2311yescharacteristic
440C22×C8×C43C2311yescharacteristic
441C22×C8×C43C2311yescharacteristic
442C4⋊Q8×C43C2311yescharacteristic
443C4⋊Q8×C43C2311yescharacteristic
444#125×C43—21no—
445#123×C43—21no—
446#123×C43—21no—
447C22⋊Q8×C43—21no—
448C22⋊Q8×C43—21no—
449C22⋊Q8×C43—21no—
450C22⋊Q8×C43C2311yescharacteristic
451C22⋊Q8×C43C2311yescharacteristic
452#121×C43C2311yescharacteristic
453#121×C43C2311yescharacteristic
454C4×Q8×C43C2311yescharacteristic
455C4×D4×C43—21no—
456C4×D4×C43C2311yescharacteristic
457C4×D4×C43C2311yescharacteristic
458C2×C4⋊C4×C43C2311yescharacteristic
459C2×C4⋊C4×C43C2311yescharacteristic
460C2×C4⋊C4×C43C2311yescharacteristic
461C2×C4⋊C4×C43C2311yescharacteristic
462#106×C43C2311yescharacteristic
463#106×C43C2311yescharacteristic
464#106×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#102×C43C2311yescharacteristic
476#102×C43C2311yescharacteristic
477#102×C43C2311yescharacteristic
478C22⋊C8×C43C2311yescharacteristic
479C22⋊C8×C43C2311yescharacteristic
480C4×C8×C43C2311yescharacteristic
481C23×D43C2×D411yescharacteristic
482#41×C43—82no—
483C2×Q8×C43—21no—
484C2×Q8×C43—21no—
485C2×Q8×C43C2411yescharacteristic
486C2×D4×C43—21no—
487C2×D4×C43—21no—
488C2×D4×C43C2×D411yescharacteristic
489C2×D4×C43C2411yescharacteristic
490C22×C4×C43—21no—
491C22×C4×C43—21no—
492C22×C4×C43—21no—
493C22×C4×C43—21no—
494C22×C4×C43—21no—
495C22×C4×C43C2411yescharacteristic
496C22×C4×C43C2411yescharacteristic
497C2×C22⋊D43—21no—
498C2×C22⋊D43—21no—
499C2×C22⋊D43—21no—
500C2×C22⋊D43—21no—
501C2×C22⋊D43—21no—
502C2×C22⋊D43C2×D411yescharacteristic
503C2×C22⋊D43C2×D411yescharacteristic
504C2×C22⋊D43C2×D411yescharacteristic
505C2×C22⋊D43C2×D411yescharacteristic
506C22×Dic43—21no—
507C22×Dic43—21no—
508C22×Dic43—21no—
509C22×Dic43—21no—
510C22×Dic43C2×D411yescharacteristic
511#10621902—22no—
512#10621902—22no—
513#10621902—82no—
514#10621900—22no—
515#10621900—22no—
516#10621900—82no—
517#10621898—22no—
518#10621898—22no—
519#10621898—82no—
520C2×D172—21no—
521C2×D172—21no—
522C2×D172—21no—
523C2×D172C2×D411yescharacteristic
524C2×D172C2×D411yescharacteristic
525C2×D172C2411yescharacteristic
526C2×C4×D43—22no—
527C2×C4×D43—22no—
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—21no—
541C2×C4×D43—82no—
542C2×C4×D43—82no—
543C2×C4×D43C2×D411yescharacteristic
544C2×C4×D43C2×D411yescharacteristic
545C2×C4×D43C2411yescharacteristic
546C2×C4×D43C2411yescharacteristic
547C2×C4×D43C2411yescharacteristic
548C2×Dic86—21no—
549C2×Dic86—21no—
550C2×Dic86C2×D411yescharacteristic
551C2×Dic86C2411yescharacteristic
552SD16×C43—22no—
553C2×C8×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×C43C2×D411yescharacteristic
581C22⋊C4×C43C2×D411yescharacteristic
582C42×C43—21no—
583C42×C43C2411yescharacteristic
584C22⋊Dic43—21no—
585C22⋊Dic43—21no—
586C22⋊Dic43—21no—
587C22⋊Dic43—21no—
588C22⋊Dic43—21no—
589C22⋊Dic43—21no—
590C22⋊Dic43—21no—
591C22⋊Dic43C2×D411yescharacteristic
592C22⋊Dic43C2×D411yescharacteristic
593#10621885—22no—
594#10621882—22no—
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)⋊C4C2×D411yescharacteristic
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
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
667#10621877—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—
695Q8×C43—81no—
696D4×C43—22no—
697D4×C43—21no—
698D4×C43—21no—
699D4×C43—42no—
700D4×C43—81no—
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—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—81no—
730C22⋊D43—81no—
731C2×Dic43—22no—
732C2×Dic43—21no—
733C2×Dic43—21no—
734C2×Dic43—21no—
735C2×Dic43—21no—
736C2×Dic43—21no—
737C2×Dic43—21no—
738C2×Dic43—21no—
739C2×Dic43—42no—
740C2×Dic43—42no—
741C2×Dic43—81no—
742C2×Dic43—81no—
743C2×Dic43C22×D411yescharacteristic
744C2×Dic43C22×D411yescharacteristic
745C2×Dic43C22×D411yescharacteristic
746C2×Dic43C22×D411yescharacteristic
747C2×Dic43C22×D411yescharacteristic
748D172—22no—
749D172—22no—
750D172—21no—
751D172—21no—
752D172—42no—
753D172—42no—
754D172—81no—
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—42no—
764C4×D43—81no—
765C4×D43—81no—
766C4×D43—81no—
767C4×D43—81no—
768C4×D43—81no—
769C4×D43—81no—
770C4×D43—81no—
771C4×D43—81no—
772C4×D43—81no—
773C4×D43—81no—
774C4×D43C2×#4112yes—
775C4×D432−1+412yes—
776Dic86—22no—
777Dic86—21no—
778Dic86—21no—
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#57712yes—
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#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×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#3345—431no—
841#3345—431no—
842#3345—431no—
843#3345—431no—
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#3335D4311yescharacteristic, complemented
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×C43C2×#54711yescharacteristic
873C2×C43C2×#57711yescharacteristic
874C2×C43C2×#57711yescharacteristic
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—431no—
892#553—861no—
893#553—861no—
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#501—431no—
931#499—431no—
932#499—431no—
933#498—431no—
934#498C2×D4311yescharacteristic, complemented
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#483C2×D4311yescharacteristic
950#483C2×D4311yescharacteristic, complemented
951#482—431no—
952#482—431no—
953#482—431no—
954#482—431no—
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#480—431no—
967#479—431no—
968#479—431no—
969#479—431no—
970#479—431no—
971#478—431no—
972#478—431no—
973#478—431no—
974#478—431no—
975#476—431no—
976#476—431no—
977#476—431no—
978#476C2×D4311yescharacteristic, complemented
979#475—431no—
980#475—431no—
981#475—431no—
982#475C2×D4311yescharacteristic, complemented
983#470—431no—
984#470—431no—
985#469—431no—
986#469—431no—
987#467—431no—
988#467—431no—
989#466—431no—
990#466—431no—
991#465—431no—
992#465—431no—
993#465—431no—
994#465—431no—
995#465—431no—
996#465—431no—
997#465C2×D4311yescharacteristic
998#465C2×D4311yescharacteristic, complemented
999#442—431no—
1000#442—431no—
1001#441—431no—
1002#441—431no—
1003C4×SD16—431no—
1004C4×SD16—431no—
1005C4×SD16—431no—
1006C4×SD16C2×D4311yescharacteristic, complemented
1007#435—431no—
1008#435—431no—
1009#435—431no—
1010#435—431no—
1011C8×D4—431no—
1012C8×D4—431no—
1013C8×D4—431no—
1014C8×D4C2×D4311yescharacteristic
1015#428—431no—
1016#428—431no—
1017#428—431no—
1018#428—431no—
1019#428—431no—
1020#428—431no—
1021#428—431no—
1022#428—431no—
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×#106C2×D4311yescharacteristic
1039C2×#106C2×D4311yescharacteristic, complemented
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×SD16C22×D4311yescharacteristic
1065C2×D8—431no—
1066#131—864no—
1067C2×M16—431no—
1068C2×M16—431no—
1069C2×M16—431no—
1070C2×M16—431no—
1071C22×C8—431no—
1072C22×C8—431no—
1073C22×C8—431no—
1074C22×C8—431no—
1075C22×C8—431no—
1076C22×C8—431no—
1077C22×C8—864no—
1078C22×C8C22×D4311yescharacteristic
1079C22×C8C22×D4311yescharacteristic
1080C4⋊Q8—431no—
1081C4⋊Q8—431no—
1082C4⋊Q8—861no—
1083C4⋊Q8—861no—
1084C4⋊Q8C22×D4311yescharacteristic
1085C4⋊Q8C22×D4311yescharacteristic
1086#126—861no—
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—431no—
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#125—861no—
1108#123—21no—
1109#123—21no—
1110#123—431no—
1111#123—431no—
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—21no—
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⋊Q8C22×D4311yescharacteristic
1155C22⋊Q8C22×D4311yescharacteristic
1156#121—431no—
1157#121—431no—
1158#121—431no—
1159#121—431no—
1160#121—431no—
1161#121—431no—
1162#121—431no—
1163#121—431no—
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#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—431no—
1188C4×D4—431no—
1189C4×D4—431no—
1190C4×D4—431no—
1191C4×D4—431no—
1192C4×D4—431no—
1193C4×D4—861no—
1194C4×D4—861no—
1195C4×D4—861no—
1196C4×D4—861no—
1197C4×D4—861no—
1198C4×D4—861no—
1199C4×D4—861no—
1200C4×D4—861no—
1201C4×D4—861no—
1202C4×D4—861no—
1203C4×D4—861no—
1204C4×D4—861no—
1205C4×D4—861no—
1206C4×D4—861no—
1207C4×D4—861no—
1208C4×D4—861no—
1209C4×D4—861no—
1210C4×D4—861no—
1211C4×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—431no—
1223#117—861no—
1224#117—861no—
1225#117—861no—
1226#117—861no—
1227#117—861no—
1228#117—861no—
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—861no—
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⋊C4C22×D4311yescharacteristic
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#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#106C22×D4311yescharacteristic
1281#106C22×D4311yescharacteristic
1282#106C22×D4311yescharacteristic
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#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#97—431no—
1327C4×C8—431no—
1328C4×C8C22×D4311yescharacteristic
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—21no—
1342C2×Q8—431no—
1343C2×Q8—431no—
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—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—22no—
1402SD16—862no—
1403D8—862no—
1404M16—862no—
1405M16—862no—
1406M16—862no—
1407M16—862no—
1408C2×C8—22no—
1409C2×C8—22no—
1410C2×C8—431no—
1411C2×C8—434no—
1412C2×C8—431no—
1413C2×C8—431no—
1414C2×C8—431no—
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—431no—
1488C22⋊C4—431no—
1489C22⋊C4—431no—
1490C22⋊C4—431no—
1491C22⋊C4—431no—
1492C22⋊C4—431no—
1493C22⋊C4—431no—
1494C22⋊C4—431no—
1495C22⋊C4—861no—
1496C22⋊C4—861no—
1497C22⋊C4—861no—
1498C22⋊C4—861no—
1499C22⋊C4—861no—
1500C22⋊C4—861no—
1501C22⋊C4—861no—
1502C22⋊C4—861no—
1503C22⋊C4—861no—
1504C22⋊C4—861no—
1505C22⋊C4—861no—
1506C22⋊C4—861no—
1507C22⋊C4—861no—
1508C22⋊C4—861no—
1509C22⋊C4—861no—
1510C22⋊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—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—81no—
1544Q8—862no—
1545Q8—861no—
1546Q8—861no—
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—42no—
1582C2×C4—81no—
1583C2×C4—81no—
1584C2×C4—81no—
1585C2×C4—81no—
1586C2×C4—431no—
1587C2×C4—432no—
1588C2×C4—432no—
1589C2×C4—431no—
1590C2×C4—431no—
1591C2×C4—431no—
1592C2×C4—431no—
1593C2×C4—862no—
1594C2×C4—862no—
1595C2×C4—862no—
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—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#1458370512yes—
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#577×D4311yescharacteristic
1694C2C2×#1458370511yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3335C2
socleC22×C43C23×D4
hypercenter#3335D43
hypocenterC43#61259
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3335

Complements

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

NH ≅ G/Ntype
1. #19148303C2semidirect
2. #19148297C2semidirect
3. #19147072C2semidirect
4. #19147065C2semidirect
5. #19147063C2semidirect
6. #19147058C2semidirect
7. #19147054C2semidirect
8. #19147053C2semidirect
9. #19147047C2semidirect
10. #19147044C2semidirect
11. #19146979C2semidirect
12. #19146976C2semidirect
13. #19146970C2semidirect
14. #19146969C2semidirect
15. #19146951C2semidirect
16. #19146948C2semidirect
17. #19146947C2semidirect
18. #19145120C2semidirect
19. #19144585C2semidirect
20. #19144579C2semidirect
21. #19144519C2semidirect
22. #19144517C2semidirect
23. #19144454C2semidirect
24. #19144452C2semidirect
25. #19144252C2semidirect
26. #19144171C2semidirect
27. #19143473C2semidirect
28. #19143284C2semidirect
29. #19143186C2semidirect
30. C2×#106×D43C2semidirect
31. C43×#3335C2semidirect
78. #14583306C22semidirect
79. #14583306C22semidirect
80. #14583305C22semidirect
81. #14583305C22semidirect
82. #14583301C22semidirect
83. #14583299C22semidirect
84. #14583296C22semidirect
85. #14583243C22semidirect
86. #14583241C22semidirect
87. #14583239C22semidirect
88. #14583237C22semidirect
95. #14583231C22semidirect
96. #14583229C22semidirect
97. #14583228C22semidirect
99. #14583225C22semidirect
100. #14583224C22semidirect
101. #14583221C22semidirect
102. #14583220C22semidirect
105. #14583219C22semidirect
106. #14583217C22semidirect
107. #14583216C22semidirect
113. #14583209C22semidirect
114. #14583208C22semidirect
115. #14583207C22semidirect
116. #14583206C22semidirect
117. #14583200C22semidirect
118. #14583199C22semidirect
119. #14583198C22semidirect
120. #14583197C22semidirect
121. #14583188C22semidirect
122. #14583187C22semidirect
123. #14583186C22semidirect
124. #14583183C22semidirect
125. #14583182C22semidirect
126. #14583181C22semidirect
127. #14583156C22semidirect
128. #14583155C22semidirect
129. #14583151C22semidirect
130. #14583150C22semidirect
136. #14583129C22semidirect
138. #14583128C22semidirect
140. #14583125C22semidirect
141. #14583009C22semidirect
142. #14583008C22semidirect
143. #14583004C22semidirect
144. #14583003C22semidirect
145. C4×#10621873C22semidirect
146. SD16×Dic43C22semidirect
147. #14582986C22semidirect
155. #14582939C22semidirect
156. #14582939C22semidirect
161. #14582938C22semidirect
162. #14582938C22semidirect
163. #14582937C22semidirect
165. #14582934C22semidirect
177. #106×D43C22semidirect
190. C43×#498C22semidirect
192. C43×#483C22semidirect
194. C43×#481C22semidirect
195. C43×#476C22semidirect
196. C43×#475C22semidirect
198. C43×#465C22semidirect
199. C4×SD16×C43C22semidirect
202. C2×#106×C43C22semidirect
681. C8×D43#41semidirect
855. #3335D43semidirect
934. #498C2×D43semidirect
950. #483C2×D43semidirect
962. #481C2×D43semidirect
978. #476C2×D43semidirect
982. #475C2×D43semidirect
998. #465C2×D43semidirect
1006. C4×SD16C2×D43semidirect
1039. C2×#106C2×D43semidirect
1050. C43#61259semidirect

Maximal subgroups

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

subgroupindex
#191483032
#191482972
#191470722
#191470652
#191470632
#191470582
#191470542
#191470532
#191470472
#191470442
#191469792
#191469762
#191469702
#191469692
#191469512
#191469482
#191469472
#191451202
#191445852
#191445792
#191445192
#191445172
#191444542
#191444522
#191442522
#191441712
#191434732
#191432842
#191431862
C2×#106×D432
C43×#33352
#6125943