Finite Group Databasebeta

← #25975979

Subgroups — #25975979

Order 11008.

1824 conjugacy classes of subgroups.

The subgroup lattice has 1698 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19148509C211yesmaximal, characteristic, complemented
2#19148441C211yesmaximal, characteristic, complemented
3#19147200C211yesmaximal, characteristic, complemented
4#19147198C211yesmaximal, characteristic, complemented
5#19147152C211yesmaximal, characteristic, complemented
6#19147114C211yesmaximal, characteristic, complemented
7#19147105C211yesmaximal, characteristic, complemented
8#19147096C211yesmaximal, characteristic, complemented
9#19147093C211yesmaximal, characteristic, complemented
10#19147066C211yesmaximal, characteristic, complemented
11#19147063C211yesmaximal, characteristic, complemented
12#19147033C211yesmaximal, characteristic, complemented
13#19147030C211yesmaximal, characteristic, complemented
14#19146996C211yesmaximal, characteristic, complemented
15#19146991C211yesmaximal, characteristic, complemented
16#19146979C211yesmaximal, characteristic, complemented
17#19146974C211yesmaximal, characteristic, complemented
18#19145143C211yesmaximal, characteristic, complemented
19#19144579C211yesmaximal, characteristic, complemented
20#19144576C211yesmaximal, characteristic, complemented
21#19144552C211yesmaximal, characteristic, complemented
22#19144550C211yesmaximal, characteristic, complemented
23#19144382C211yesmaximal, characteristic, complemented
24#478×D43C211yesmaximal, characteristic, complemented
25#19144270C211yesmaximal, characteristic, complemented
26#19144270C211yesmaximal, characteristic, complemented
27C4×#13063352C211yesmaximal, characteristic, complemented
28#19143340C211yesmaximal, characteristic, complemented
29#19143194C211yesmaximal, characteristic, complemented
30#19143189C211yesmaximal, characteristic, complemented
31C43×#3351C211yesmaximal, characteristic, complemented
32C2×#13063352C2211yescharacteristic
33C2×#13063333C2211yescharacteristic
34C2×#13063333C2211yescharacteristic
35#14583633—21no—
36#14583632—21no—
37#14583616—21no—
38#14583613C2211yescharacteristic
39#14583612C2211yescharacteristic
40#14583602—21no—
41#14583602C2211yescharacteristic
42#14583602C2211yescharacteristic, complemented
43#14583600—21no—
44#14583599C2211yescharacteristic
45#14583597C2211yescharacteristic, complemented
46#14583595C2211yescharacteristic
47#14583595C2211yescharacteristic, complemented
48#14583594—21no—
49#14583593—21no—
50#14583593C2211yescharacteristic, complemented
51#14583591C2211yescharacteristic, complemented
52#14583590C2211yescharacteristic, complemented
53#14583583C2211yescharacteristic, complemented
54#14583567—21no—
55#14583550C2211yescharacteristic
56#14583549C2211yescharacteristic
57#14583508—21no—
58#14583501—21no—
59#14583488—21no—
60#14583481—21no—
61#14583479C2211yescharacteristic
62#14583479C2211yescharacteristic
63#14583465C2211yescharacteristic
64#14583465C2211yescharacteristic
65#14583455C2211yescharacteristic
66#14583446C2211yescharacteristic
67#14583432—21no—
68#14583427—21no—
69#125×D43C2211yescharacteristic
70#14583408—21no—
71#14583407—21no—
72#14583380C2211yescharacteristic
73#14583380C2211yescharacteristic
74#14583379C2211yescharacteristic
75#14583379C2211yescharacteristic
76C4×#10621902C2211yescharacteristic
77C4×D4×D43C2211yescharacteristic
78#14583307C2211yescharacteristic, complemented
79#14583307C2211yescharacteristic, complemented
80#14583306C2211yescharacteristic, complemented
81#14583306C2211yescharacteristic, complemented
82#14583301C2211yescharacteristic, complemented
83#14583298C2211yescharacteristic, complemented
84#14583298C2211yescharacteristic, complemented
85#14583239C2211yescharacteristic, complemented
86#14583239C2211yescharacteristic, complemented
87#14583237C2211yescharacteristic, complemented
88#14583233C2211yescharacteristic, complemented
89#14583232C2211yescharacteristic, complemented
90#14583228C2211yescharacteristic, complemented
91#14583226C2211yescharacteristic
92#14583225C2211yescharacteristic
93#14583225C2211yescharacteristic, complemented
94#14583225C2211yescharacteristic, complemented
95#14583224C2211yescharacteristic
96#14583224C2211yescharacteristic, complemented
97#14583223C2211yescharacteristic
98#14583223C2211yescharacteristic, complemented
99#14583222C2211yescharacteristic
100#14583221C2211yescharacteristic
101#14583220C2211yescharacteristic
102#14583219C2211yescharacteristic
103#14583219C2211yescharacteristic
104#14583219C2211yescharacteristic, complemented
105#14583217C2211yescharacteristic, complemented
106#14583215C2211yescharacteristic
107#14583214C2211yescharacteristic, complemented
108#14583213C2211yescharacteristic
109#14583213C2211yescharacteristic, complemented
110#14583212C2211yescharacteristic
111#14583211C2211yescharacteristic
112#14583211C2211yescharacteristic
113#14583206C2211yescharacteristic, complemented
114#14583202C2211yescharacteristic
115#14583201C2211yescharacteristic
116#14583200C2211yescharacteristic
117#14583200C2211yescharacteristic, complemented
118#14583199C2211yescharacteristic
119#14583198C2211yescharacteristic
120#14583197C2211yescharacteristic
121#14583196C2211yescharacteristic
122#14583196C2211yescharacteristic, complemented
123#14583192C2211yescharacteristic, complemented
124#14583188C2211yescharacteristic, complemented
125#14583182C2211yescharacteristic, complemented
126#14583178C2211yescharacteristic, complemented
127#14583152C2211yescharacteristic
128#14583152C2211yescharacteristic
129#14583151C2211yescharacteristic
130#14583151C2211yescharacteristic
131#14583148C2211yescharacteristic
132#14583148C2211yescharacteristic
133#14583136C2211yescharacteristic
134#14583136C2211yescharacteristic
135#14583133C2211yescharacteristic
136#14583133C2211yescharacteristic
137#14583130C2211yescharacteristic
138#14583130C2211yescharacteristic
139#14583125C2211yescharacteristic
140#14583125C2211yescharacteristic
141#14583010C2211yescharacteristic
142#14583008C2211yescharacteristic
143#14583002C2211yescharacteristic
144#14583000C2211yescharacteristic
145C4×#10621884C2211yescharacteristic
146C4×D344C2211yescharacteristic
147C4×#10621882C2211yescharacteristic
148#14582976C2211yescharacteristic, complemented
149#14582968C2211yescharacteristic, complemented
150#14582968C2211yescharacteristic, complemented
151#14582967C2211yescharacteristic, complemented
152#14582967C2211yescharacteristic, complemented
153C8×D172C2211yescharacteristic, complemented
154D4×C43⋊C8C2211yescharacteristic, complemented
155#14582941C2211yescharacteristic, complemented
156#14582941C2211yescharacteristic, complemented
157#14582940C2211yescharacteristic
158#14582940C2211yescharacteristic
159#14582940C2211yescharacteristic, complemented
160#14582940C2211yescharacteristic, complemented
161#14582938C2211yescharacteristic
162#14582938C2211yescharacteristic
163#14582938C2211yescharacteristic
164#14582938C2211yescharacteristic, complemented
165#14582938C2211yescharacteristic, complemented
166#14582936C2211yescharacteristic
167#14582936C2211yescharacteristic, complemented
168#14582935C2211yescharacteristic, complemented
169#14582935C2211yescharacteristic, complemented
170#14582934C2211yescharacteristic
171#14582934C2211yescharacteristic, complemented
172C2×#13063258C2211yescharacteristic, complemented
173#107×D43C2211yescharacteristic
174#107×D43C2211yescharacteristic, complemented
175C2×#13063256C2211yescharacteristic, complemented
176#106×D43C2211yescharacteristic
177#106×D43C2211yescharacteristic, complemented
178C4⋊C8×D43C2211yescharacteristic
179#14582902C2211yescharacteristic
180#14582899C2211yescharacteristic
181#14582894C2211yescharacteristic
182#14582894C2211yescharacteristic
183#102×D43C2211yescharacteristic
184#102×D43C2211yescharacteristic
185#14582864C2211yescharacteristic
186#14582864C2211yescharacteristic
187C4×#10621872C2211yescharacteristic
188C43×#553C2211yescharacteristic
189C43×#552C2211yescharacteristic, complemented
190C43×#499C2211yescharacteristic, complemented
191C43×#485C2211yescharacteristic, complemented
192C43×#483C2211yescharacteristic, complemented
193C43×#482C2211yescharacteristic
194C43×#481C2211yescharacteristic
195C43×#479C2211yescharacteristic, complemented
196C43×#478C2211yescharacteristic
197C43×#468C2211yescharacteristic
198C43×#468C2211yescharacteristic
199C4×SD16×C43C2211yescharacteristic
200C43×#436C2211yescharacteristic, complemented
201C43×#428C2211yescharacteristic, complemented
202C43×#428C2211yescharacteristic, complemented
203C2×#10621902C2311yescharacteristic
204C2×#10621898—21no—
205C2×#10621898C2311yescharacteristic
206C2×#10621898C2311yescharacteristic
207C2×#10621900—21no—
208C2×D4×D43C2311yescharacteristic
209C22×C4×D43—21no—
210#13063352—24no—
211C2×#10621884C2311yescharacteristic
212C2×D344C2311yescharacteristic
213C2×#10621882C2311yescharacteristic
214#13063333—24no—
215#13063333—24no—
216C2×#10621872C2311yescharacteristic
217C2×#10621872C2311yescharacteristic
218C2×#10621872C2311yescharacteristic
219C2×#10621872C2311yescharacteristic
220C22×C43⋊C8C2311yescharacteristic
221C22×C43⋊C8C2311yescharacteristic
222C2×C8×D43C2311yescharacteristic
223C2×C8×D43C2311yescharacteristic
224C2×C8×D43C2311yescharacteristic
225C2×C8×D43C2311yescharacteristic
226#13063324D411yescharacteristic
227#13063324C2311yescharacteristic
228#13063324C2311yescharacteristic
229#13063321—21no—
230#13063321—21no—
231#13063321D411yescharacteristic
232#13063320—21no—
233#13063320—21no—
234#13063320—21no—
235#13063320—21no—
236#13063320—21no—
237#13063320—21no—
238#13063319—21no—
239#13063319—21no—
240#13063318—21no—
241#13063318—21no—
242#13063317C2311yescharacteristic
243#13063317C2311yescharacteristic
244#13063316—21no—
245#13063316C2311yescharacteristic
246#13063316C2311yescharacteristic
247#13063315—21no—
248#13063315—21no—
249#13063315—21no—
250#13063315—21no—
251#13063313—21no—
252#13063312—21no—
253#13063311—21no—
254#13063311—21no—
255#13063311—21no—
256#13063311—21no—
257#13063311D411yescharacteristic
258#13063311D411yescharacteristic
259#13063310—21no—
260#13063310—21no—
261#13063310—21no—
262#13063310—21no—
263#13063310—21no—
264#13063309—21no—
265#13063308—21no—
266#13063308—21no—
267#13063307—21no—
268#13063307—21no—
269#13063307—21no—
270#13063307—21no—
271#13063307—21no—
272#13063306—21no—
273#13063303—21no—
274#13063303—21no—
275#13063303—21no—
276#13063303—21no—
277#13063303—21no—
278#13063302—21no—
279#13063301C2311yescharacteristic
280#13063301C2311yescharacteristic
281#13063300—21no—
282#13063300—21no—
283#13063300—21no—
284#13063300—21no—
285#13063300D411yescharacteristic
286#13063300C2311yescharacteristic
287#13063300C2311yescharacteristic
288#13063300C2311yescharacteristic
289#13063300C2311yescharacteristic
290#13063299—21no—
291#13063299C2311yescharacteristic
292#13063299C2311yescharacteristic
293#13063299C2311yescharacteristic
294#13063299C2311yescharacteristic
295#13063298—21no—
296#13063298—21no—
297#13063298—21no—
298#13063298—21no—
299#13063298—21no—
300#13063298—21no—
301#13063298—21no—
302#13063298D411yescharacteristic
303#13063298D411yescharacteristic
304#13063297—21no—
305#13063297—21no—
306#13063297—21no—
307#13063296D411yescharacteristic
308#13063296C2311yescharacteristic
309#13063296C2311yescharacteristic
310#13063295—21no—
311#13063295—21no—
312#13063293—21no—
313#13063293—21no—
314Q8×Dic43C2311yescharacteristic
315C4×Dic86—21no—
316C4×Dic86—21no—
317#13063290—21no—
318#13063290—21no—
319#13063290—21no—
320#13063290—21no—
321C4×D172—21no—
322C4×D172—21no—
323C4×D172—21no—
324C4×D172—21no—
325C4×D172C2311yescharacteristic
326C4×D172C2311yescharacteristic
327C4×D172C2311yescharacteristic
328D4×Dic43C2311yescharacteristic
329#13063287—21no—
330#13063287—21no—
331#13063287—21no—
332#13063287—21no—
333#13063287—21no—
334#13063287C2311yescharacteristic
335#13063287C2311yescharacteristic
336C4×C22⋊D43—21no—
337C4×C22⋊D43—21no—
338C4×C22⋊D43—21no—
339C4×C22⋊D43—21no—
340C4×C22⋊D43—21no—
341C4×C22⋊D43—21no—
342C4×C22⋊D43—21no—
343C4×C22⋊D43C2311yescharacteristic
344C4×C22⋊D43C2311yescharacteristic
345(C22⋊D43)⋊C4—21no—
346(C22⋊D43)⋊C4—21no—
347(C22⋊D43)⋊C4—21no—
348(C22⋊D43)⋊C4—21no—
349(C22⋊D43)⋊C4—21no—
350(C22⋊D43)⋊C4—21no—
351(C22⋊D43)⋊C4—21no—
352#13063284C2311yescharacteristic
353#13063284C2311yescharacteristic
354#13063283—21no—
355#13063283—21no—
356#13063283C2311yescharacteristic
357#13063283C2311yescharacteristic
358#13063283C2311yescharacteristic
359#13063283C2311yescharacteristic
360#13063283C2311yescharacteristic
361#13063283C2311yescharacteristic
362#13063283C2311yescharacteristic
363#13063282—21no—
364#13063282—21no—
365#13063281—21no—
366#13063281—21no—
367C2×C4⋊Dic43C2311yescharacteristic
368C2×C4⋊Dic43C2311yescharacteristic
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
378C22⋊C4×D43—21no—
379C42×D43—21no—
380C42×D43C2311yescharacteristic
381#13063259C2311yescharacteristic
382#13063259C2311yescharacteristic
383#13063259C2311yescharacteristic
384#13063259C2311yescharacteristic
385#13063259C2311yescharacteristic
386#13063258C2311yescharacteristic
387#13063258C2311yescharacteristic
388#13063258C2311yescharacteristic
389#13063258C2311yescharacteristic
390#13063258C2311yescharacteristic
391#13063258C2311yescharacteristic
392#13063258C2311yescharacteristic
393#13063258C2311yescharacteristic
394#13063258C2311yescharacteristic
395#13063257C2311yescharacteristic
396#13063257C2311yescharacteristic
397#13063257C2311yescharacteristic
398#13063257C2311yescharacteristic
399#13063256C2311yescharacteristic
400#13063256C2311yescharacteristic
401#13063256C2311yescharacteristic
402#13063256C2311yescharacteristic
403#13063256C2311yescharacteristic
404#13063256C2311yescharacteristic
405#13063256C2311yescharacteristic
406#13063256C2311yescharacteristic
407#13063256C2311yescharacteristic
408C4⋊(C43⋊C8)C2311yescharacteristic
409Dic43⋊C8C2311yescharacteristic
410Dic43⋊C8C2311yescharacteristic
411#13063249C2311yescharacteristic
412#13063249C2311yescharacteristic
413#13063249C2311yescharacteristic
414#13063247C2311yescharacteristic
415#13063247C2311yescharacteristic
416#13063247C2311yescharacteristic
417#13063247C2311yescharacteristic
418#13063247C2311yescharacteristic
419#13063247C2311yescharacteristic
420#13063246C2311yescharacteristic
421#13063246C2311yescharacteristic
422#13063246C2311yescharacteristic
423#13063245C2311yescharacteristic
424#13063245C2311yescharacteristic
425#13063245C2311yescharacteristic
426#13063245C2311yescharacteristic
427#13063245C2311yescharacteristic
428#13063245C2311yescharacteristic
429C22⋊(C43⋊C8)C2311yescharacteristic
430C22⋊(C43⋊C8)C2311yescharacteristic
431(C2×D43)⋊C8C2311yescharacteristic
432(C2×D43)⋊C8C2311yescharacteristic
433(C2×D43)⋊C8C2311yescharacteristic
434(C2×D43)⋊C8C2311yescharacteristic
435#13063235C2311yescharacteristic
436#13063235C2311yescharacteristic
437C4×C43⋊C8C2311yescharacteristic
438C2×SD16×C43C2311yescharacteristic
439C2×M16×C43C2311yescharacteristic
440C2×M16×C43C2311yescharacteristic
441#126×C43—21no—
442#126×C43—21no—
443#125×C43—21no—
444#125×C43C2311yescharacteristic
445#125×C43C2311yescharacteristic
446#123×C43—21no—
447#123×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×C43C2311yescharacteristic
456C4×D4×C43C2311yescharacteristic
457#117×C43—21no—
458#117×C43C2311yescharacteristic
459#117×C43C2311yescharacteristic
460C2×C4⋊C4×C43C2311yescharacteristic
461C2×C4⋊C4×C43C2311yescharacteristic
462#107×C43C2311yescharacteristic
463#107×C43C2311yescharacteristic
464#107×C43C2311yescharacteristic
465#107×C43C2311yescharacteristic
466#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×D43—21no—
482C2×Q8×C43C2411yescharacteristic
483C2×D4×C43—21no—
484C2×D4×C43—21no—
485C2×D4×C43C2×D411yescharacteristic
486C2×D4×C43C2411yescharacteristic
487C22×C4×C43—21no—
488C22×C4×C43—21no—
489C22×C4×C43—21no—
490C22×C4×C43C2411yescharacteristic
491C22×C4×C43C2411yescharacteristic
492C2×C22⋊D43—21no—
493C2×C22⋊D43—21no—
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
503C2×C22⋊D43C2×D411yescharacteristic
504C2×C22⋊D43C2×D411yescharacteristic
505C22×Dic43—21no—
506C22×Dic43—21no—
507C22×Dic43—21no—
508#10621902—22no—
509#10621902—22no—
510#10621900—82no—
511D4×D43—22no—
512D4×D43—22no—
513#10621898—22no—
514#10621898—22no—
515#10621898—22no—
516#10621898—22no—
517#10621898—82no—
518C2×D172—21no—
519C2×D172—21no—
520C2×D172—21no—
521C2×D172—21no—
522C2×D172—21no—
523C2×D172C2×D411yescharacteristic
524C2×D172C2×D411yescharacteristic
525C2×D172C2×D411yescharacteristic
526C2×D172C2411yescharacteristic
527C2×D172C2411yescharacteristic
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×D43C2×D411yescharacteristic
542C2×C4×D43C2×D411yescharacteristic
543C2×C4×D43C2411yescharacteristic
544C2×C4×D43C2411yescharacteristic
545C2×C4×D43C2411yescharacteristic
546C2×Dic86—21no—
547C2×Dic86—21no—
548C2×Dic86C2×D411yescharacteristic
549C2×Dic86C2×D411yescharacteristic
550SD16×C43—22no—
551M16×C43—22no—
552M16×C43—22no—
553C2×C8×C43C2411yescharacteristic
554C2×C8×C43C2411yescharacteristic
555C2×C8×C43C2411yescharacteristic
556C2×C8×C43C2411yescharacteristic
557C4⋊C4×C43—21no—
558C4⋊C4×C43—21no—
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×C43C2×D411yescharacteristic
567C4⋊C4×C43C2411yescharacteristic
568C4⋊C4×C43C2411yescharacteristic
569C4⋊C4×C43C2411yescharacteristic
570C4⋊C4×C43C2411yescharacteristic
571C4⋊C4×C43C2411yescharacteristic
572C4⋊C4×C43C2411yescharacteristic
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×C43—21no—
580C22⋊C4×C43C2×D411yescharacteristic
581C22⋊C4×C43C2×D411yescharacteristic
582C42×C43—21no—
583C42×C43—21no—
584C42×C43—21no—
585C42×C43C2411yescharacteristic
586C22⋊Dic43—21no—
587C22⋊Dic43—21no—
588C22⋊Dic43—21no—
589C22⋊Dic43—21no—
590C22⋊Dic43—21no—
591C22⋊Dic43C2×D411yescharacteristic
592C22⋊Dic43C2×D411yescharacteristic
593#10621884—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)⋊C4—21no—
610(C2×D43)⋊C4—21no—
611(C2×D43)⋊C4—21no—
612(C2×D43)⋊C4—21no—
613(C2×D43)⋊C4—21no—
614(C2×D43)⋊C4—21no—
615(C2×D43)⋊C4—21no—
616(C2×D43)⋊C4C2×D411yescharacteristic
617(C2×D43)⋊C4C2×D411yescharacteristic
618(C2×D43)⋊C4C2×D411yescharacteristic
619(C2×D43)⋊C4C2×D411yescharacteristic
620C4⋊Dic43—21no—
621C4⋊Dic43—21no—
622C4⋊Dic43—21no—
623C4⋊Dic43—21no—
624C4⋊Dic43—21no—
625C4⋊Dic43C2×D411yescharacteristic
626C4⋊Dic43C2411yescharacteristic
627C4⋊Dic43C2411yescharacteristic
628C4⋊Dic43C2411yescharacteristic
629C4⋊Dic43C2411yescharacteristic
630C4⋊Dic43C2411yescharacteristic
631C4⋊Dic43C2411yescharacteristic
632Dic43⋊C4—21no—
633Dic43⋊C4—21no—
634Dic43⋊C4—21no—
635Dic43⋊C4—21no—
636Dic43⋊C4—21no—
637Dic43⋊C4—21no—
638Dic43⋊C4—21no—
639Dic43⋊C4—21no—
640Dic43⋊C4—21no—
641Dic43⋊C4—21no—
642Dic43⋊C4—21no—
643Dic43⋊C4—21no—
644Dic43⋊C4—21no—
645Dic43⋊C4—21no—
646Dic43⋊C4—21no—
647Dic43⋊C4—21no—
648Dic43⋊C4—21no—
649Dic43⋊C4C2×D411yescharacteristic
650Dic43⋊C4C2×D411yescharacteristic
651C4×Dic43—21no—
652C4×Dic43—21no—
653C4×Dic43—21no—
654C4×Dic43—21no—
655C4×Dic43—21no—
656C4×Dic43—21no—
657C4×Dic43—21no—
658C4×Dic43—21no—
659C4×Dic43—21no—
660C4×Dic43—21no—
661C4×Dic43C2×D411yescharacteristic
662C4×Dic43C2×D411yescharacteristic
663C4×Dic43C2411yescharacteristic
664C2×C43⋊C8—22no—
665C2×C43⋊C8—22no—
666C2×C43⋊C8C2411yescharacteristic
667C2×C43⋊C8C2411yescharacteristic
668C2×C43⋊C8C2411yescharacteristic
669C2×C43⋊C8C2411yescharacteristic
670D344—22no—
671#10621872—22no—
672#10621872—22no—
673#10621872—22no—
674#10621872#4114yescomplemented
675C8×D43—22no—
676C8×D43—22no—
677C8×D43—22no—
678C8×D43—22no—
679C23×C43—21no—
680C23×C43C22×D411yescharacteristic
681C23×C43C22×D411yescharacteristic
682C22×D43—21no—
683C22×D43—21no—
684C22×D43—42no—
685C22×D43—81no—
686C22×D43—81no—
687C22×D43C22×D411yescharacteristic
688C22×D43C22×D411yescharacteristic
689C22×D43C22×D411yescharacteristic
690Q8×C43—21no—
691Q8×C43—21no—
692D4×C43—21no—
693D4×C43—21no—
694D4×C43—41no—
695D4×C43—81no—
696D4×C43—81no—
697C2×C4×C43—21no—
698C2×C4×C43—21no—
699C2×C4×C43—21no—
700C2×C4×C43—21no—
701C2×C4×C43—21no—
702C2×C4×C43—21no—
703C2×C4×C43—21no—
704C2×C4×C43—21no—
705C2×C4×C43—21no—
706C2×C4×C43—21no—
707C2×C4×C43—21no—
708C2×C4×C43—81no—
709C2×C4×C43—81no—
710C2×C4×C43—81no—
711C2×C4×C43C22×D411yescharacteristic
712C2×C4×C43C22×D411yescharacteristic
713C2×C4×C43C22×D411yescharacteristic
714C2×C4×C43C22×D411yescharacteristic
715C2×C4×C43C2511yescharacteristic
716C22⋊D43—22no—
717C22⋊D43—22no—
718C22⋊D43—22no—
719C22⋊D43—22no—
720C22⋊D43—41no—
721C22⋊D43—41no—
722C22⋊D43—42no—
723C22⋊D43—81no—
724C22⋊D43—81no—
725C22⋊D43—81no—
726C22⋊D43—81no—
727C22⋊D43—81no—
728C22⋊D43—81no—
729C2×Dic43—21no—
730C2×Dic43—21no—
731C2×Dic43—21no—
732C2×Dic43—21no—
733C2×Dic43—21no—
734C2×Dic43—21no—
735C2×Dic43—42no—
736C2×Dic43—81no—
737C2×Dic43—81no—
738C2×Dic43C22×D411yescharacteristic
739C2×Dic43C22×D411yescharacteristic
740C2×Dic43C22×D411yescharacteristic
741C2×Dic43C22×D411yescharacteristic
742C2×Dic43C22×D411yescharacteristic
743D172—22no—
744D172—22no—
745D172—21no—
746D172—21no—
747D172—21no—
748D172—21no—
749D172—41no—
750D172—42no—
751D172—81no—
752D172—81no—
753D172—81no—
754D172—81no—
755C4×D43—21no—
756C4×D43—21no—
757C4×D43—21no—
758C4×D43—21no—
759C4×D43—41no—
760C4×D43—41no—
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×D43—81no—
772C4×D43—81no—
773C4×D43C2×#4112yes—
774C4×D432−1+412yes—
775Dic86—22no—
776Dic86—22no—
777Dic86—42no—
778Dic86—81no—
779C8×C43—21no—
780C8×C43—21no—
781C8×C43—21no—
782C8×C43C2×#4112yes—
783C43⋊C8—21no—
784C43⋊C8—21no—
785C43⋊C8—21no—
786C43⋊C8C2×#4112yes—
787#61283—431nomaximal, Sylow
788C22×C43—21no—
789C22×C43—21no—
790C22×C43—21no—
791C22×C43—21no—
792C22×C43—21no—
793C22×C43—21no—
794C22×C43—41no—
795C22×C43—41no—
796C22×C43—41no—
797C22×C43C23×D411yescharacteristic
798C2×D43—21no—
799C2×D43—21no—
800C2×D43—21no—
801C2×D43—21no—
802C2×D43—21no—
803C2×D43—21no—
804C2×D43—21no—
805C2×D43—21no—
806C2×D43—41no—
807C2×D43—41no—
808C2×D43—41no—
809C2×D43—41no—
810C2×D43—41no—
811C2×D43—41no—
812C2×D43—84no—
813C2×D43#54712yes—
814C4×C43—21no—
815C4×C43—21no—
816C4×C43—21no—
817C4×C43—21no—
818C4×C43—41no—
819C4×C43—41no—
820C4×C43—41no—
821C4×C43—41no—
822C4×C43—41no—
823C4×C43—41no—
824C4×C43—41no—
825C4×C43C22×#4111yescharacteristic
826C4×C43C2×2−1+411yescharacteristic
827Dic43—21no—
828Dic43—21no—
829Dic43—21no—
830Dic43—21no—
831Dic43—41no—
832Dic43—41no—
833Dic43—41no—
834Dic43—41no—
835Dic43—41no—
836Dic43—41no—
837Dic43#54712yes—
838#3512—431no—
839#3506—431no—
840#3355—431no—
841#3355—431no—
842#3351—431no—
843#3351D4311yescharacteristic, complemented
844#3348—431no—
845#3348—431no—
846#3347—431no—
847#3347—431no—
848#3345—431no—
849#3345—431no—
850#3343—431no—
851#3343—431no—
852#3339—431no—
853#3339—431no—
854#3337—431no—
855#3337—431no—
856#3166—431no—
857#3099—431no—
858#3098—431no—
859#3096—431no—
860#3096—431no—
861#3076—431no—
862C2×#478—431no—
863#3062—431no—
864#3062—431no—
865C4×AGL(1,ℤ/8)—431no—
866#2935—431no—
867#2913—431no—
868#2912—431no—
869C2×C43—41no—
870C2×C43—41no—
871C2×C43—81no—
872C2×C43C2×#54711yescharacteristic
873C2×C43#358411yescharacteristic
874C2×C43#358511yescharacteristic
875D43—22no—
876D43—41no—
877D43—41no—
878D43—81no—
879D43—81no—
880C2×AGL(1,ℤ/8)—431no—
881C2×#131—431no—
882C2×#131—431no—
883#559—861no—
884#559—861no—
885#556—861no—
886#555—431no—
887#555—431no—
888#553—431no—
889#553—431no—
890#553—431no—
891#553—431no—
892#553—431no—
893#553—431no—
894#553—431no—
895#553—861no—
896#553—861no—
897#553—861no—
898#553—861no—
899#553C2×D4311yescharacteristic
900#552—431no—
901#552—431no—
902#552—431no—
903#552C2×D4311yescharacteristic, complemented
904#550—861no—
905#547—431no—
906#547—431no—
907#541—861no—
908#540—861no—
909#538—861no—
910#538—861no—
911#537—431no—
912#537—431no—
913#535—431no—
914#535—431no—
915#533—431no—
916#532—431no—
917#529—861no—
918#529—861no—
919C2×#125—431no—
920#525—861no—
921#525—861no—
922#520—431no—
923#520—431no—
924#520—431no—
925#520—431no—
926C4×#41—431no—
927C2×C4×D4—431no—
928#501—431no—
929#501—431no—
930#501—431no—
931#501—431no—
932#499—431no—
933#499—431no—
934#499—431no—
935#499C2×D4311yescharacteristic, complemented
936#485—431no—
937#485—431no—
938#485—431no—
939#485C2×D4311yescharacteristic, complemented
940#484—431no—
941#484—431no—
942#483—431no—
943#483C2×D4311yescharacteristic, complemented
944#482—431no—
945#482—431no—
946#482—431no—
947#482—431no—
948#482—431no—
949#482—431no—
950#482—431no—
951#482—431no—
952#482—431no—
953#482—431no—
954#482—431no—
955#482C2×D4311yescharacteristic
956#481—431no—
957#481—431no—
958#481—431no—
959#481—431no—
960#481—431no—
961#481C2×D4311yescharacteristic
962#480—431no—
963#480—431no—
964#480—431no—
965#480—431no—
966#480—431no—
967#480—431no—
968#479—431no—
969#479C2×D4311yescharacteristic, complemented
970#478—431no—
971#478—431no—
972#478—431no—
973#478—431no—
974#478—431no—
975#478—431no—
976#478—431no—
977#478—431no—
978#478—431no—
979#478C2×D4311yescharacteristic
980#477—431no—
981#476—431no—
982#475—431no—
983#474—431no—
984#469—431no—
985#469—431no—
986#469—431no—
987#469—431no—
988#468—431no—
989#468—431no—
990#468C2×D4311yescharacteristic
991#468C2×D4311yescharacteristic
992#466—431no—
993#466—431no—
994#466—431no—
995#466—431no—
996#465—431no—
997#465—431no—
998#465—431no—
999#465—431no—
1000#442—431no—
1001#442—431no—
1002#440—431no—
1003#440—431no—
1004C4×SD16—431no—
1005C4×SD16C2×D4311yescharacteristic
1006C4×D8—431no—
1007C4×D8—431no—
1008#436—431no—
1009#436C2×D4311yescharacteristic, complemented
1010#435—431no—
1011#435—431no—
1012#435—431no—
1013#435—431no—
1014C8×D4—431no—
1015C8×D4—431no—
1016#428—431no—
1017#428—431no—
1018#428—431no—
1019#428—431no—
1020#428—431no—
1021#428—431no—
1022#428—431no—
1023#428—431no—
1024#428—431no—
1025#428—431no—
1026#428—431no—
1027#428C2×D4311yescharacteristic, complemented
1028#428C2×D4311yescharacteristic, complemented
1029#427—431no—
1030#427—431no—
1031#427—431no—
1032#427—431no—
1033#427—431no—
1034#427—431no—
1035C2×#107—431no—
1036C2×#107—431no—
1037C2×#107—431no—
1038C2×#106—431no—
1039C2×#106—431no—
1040C2×#106—431no—
1041C2×C4⋊C8—431no—
1042#418—431no—
1043#417—431no—
1044#416—431no—
1045#416—431no—
1046C2×#102—431no—
1047C2×#102—431no—
1048#408—431no—
1049#408—431no—
1050C4×M16—431no—
1051C43#6128311yescharacteristic, complemented, Sylow
1052C2×#41—431no—
1053C2×#41—431no—
1054C2×#41—431no—
1055C2×#41—861no—
1056C2×#41—861no—
1057C22×D4—431no—
1058C23×C4—861no—
1059AGL(1,ℤ/8)—864no—
1060C2×SD16—431no—
1061C2×SD16C22×D4311yescharacteristic
1062C2×D8—431no—
1063C2×D8—431no—
1064#131—864no—
1065#131—864no—
1066C2×M16—431no—
1067C2×M16—431no—
1068C2×M16—431no—
1069C2×M16—431no—
1070C2×M16C22×D4311yescharacteristic
1071C2×M16C22×D4311yescharacteristic
1072C22×C8—431no—
1073C22×C8—431no—
1074C22×C8—431no—
1075C22×C8—431no—
1076C22×C8—431no—
1077C22×C8—431no—
1078C4⋊Q8—431no—
1079C4⋊Q8—431no—
1080C4⋊Q8—431no—
1081#127—431no—
1082#127—861no—
1083#127—861no—
1084#126—21no—
1085#126—21no—
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#126—861no—
1095#126—861no—
1096#125—21no—
1097#125—431no—
1098#125—431no—
1099#125—431no—
1100#125—431no—
1101#125—861no—
1102#125—861no—
1103#125—861no—
1104#125—861no—
1105#125—861no—
1106#125C22×D4311yescharacteristic
1107#125C22×D4311yescharacteristic
1108#124—431no—
1109#124—431no—
1110#124—861no—
1111#124—861no—
1112#124—861no—
1113#124—861no—
1114#124—861no—
1115#124—861no—
1116#123—21no—
1117#123—21no—
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—
1128#123—861no—
1129#123—861no—
1130#123—861no—
1131#123—861no—
1132C22⋊Q8—431no—
1133C22⋊Q8—431no—
1134C22⋊Q8—861no—
1135C22⋊Q8—861no—
1136C22⋊Q8—861no—
1137C22⋊Q8—861no—
1138C22⋊Q8—861no—
1139C22⋊Q8—861no—
1140C22⋊Q8C22×D4311yescharacteristic
1141C22⋊Q8C22×D4311yescharacteristic
1142#121—21no—
1143#121—431no—
1144#121—431no—
1145#121—431no—
1146#121—431no—
1147#121—431no—
1148#121—431no—
1149#121—431no—
1150#121—431no—
1151#121—431no—
1152#121—431no—
1153#121—431no—
1154#121—431no—
1155#121—431no—
1156#121—431no—
1157#121—861no—
1158#121—861no—
1159#121—861no—
1160#121—861no—
1161#121—861no—
1162#121—861no—
1163#121—861no—
1164#121—861no—
1165#121—861no—
1166#121—861no—
1167#121—861no—
1168#121—861no—
1169#121—861no—
1170#121—861no—
1171#121—861no—
1172#121C22×D4311yescharacteristic
1173#121C22×D4311yescharacteristic
1174#120—861no—
1175#120—861no—
1176#120—861no—
1177#120—861no—
1178C4×Q8—431no—
1179C4×Q8—861no—
1180C4×Q8—861no—
1181C4×Q8—861no—
1182C4×Q8—861no—
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—431no—
1194C4×D4—431no—
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×D4—861no—
1215C4×D4—861no—
1216C4×D4—861no—
1217C4×D4—861no—
1218C4×D4C22×D4311yescharacteristic
1219C4×D4C22×D4311yescharacteristic
1220#117—21no—
1221#117—431no—
1222#117—431no—
1223#117—431no—
1224#117—431no—
1225#117—431no—
1226#117—431no—
1227#117—431no—
1228#117—431no—
1229#117—431no—
1230#117—861no—
1231#117—861no—
1232#117—861no—
1233#117—861no—
1234#117—861no—
1235#117—861no—
1236#117C22×D4311yescharacteristic
1237#117C22×D4311yescharacteristic
1238C2×C4⋊C4—431no—
1239C2×C4⋊C4—431no—
1240C2×C4⋊C4—431no—
1241C2×C4⋊C4—431no—
1242C2×C4⋊C4—431no—
1243C2×C4⋊C4—431no—
1244C2×C4⋊C4—431no—
1245C2×C4⋊C4—431no—
1246C2×C4⋊C4—431no—
1247C2×C4⋊C4—861no—
1248C2×C4⋊C4—861no—
1249C2×C4⋊C4C22×D4311yescharacteristic
1250C2×C4⋊C4C22×D4311yescharacteristic
1251C2×C22⋊C4—861no—
1252C2×C42—431no—
1253C2×C42—861no—
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#107C22×D4311yescharacteristic
1269#107C22×D4311yescharacteristic
1270#107C22×D4311yescharacteristic
1271#107C22×D4311yescharacteristic
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#106—431no—
1284#106—431no—
1285#106C22×D4311yescharacteristic
1286#106C22×D4311yescharacteristic
1287#106C22×D4311yescharacteristic
1288#106C22×D4311yescharacteristic
1289#106C22×D4311yescharacteristic
1290C4⋊C8—431no—
1291C4⋊C8—431no—
1292C4⋊C8—431no—
1293C4⋊C8C22×D4311yescharacteristic
1294#103—431no—
1295#103—431no—
1296#103—431no—
1297#103C22×D4311yescharacteristic
1298#103C22×D4311yescharacteristic
1299#103C22×D4311yescharacteristic
1300#102—431no—
1301#102—431no—
1302#102—431no—
1303#102—431no—
1304#102—431no—
1305#102—431no—
1306#102—431no—
1307#102—431no—
1308#102—431no—
1309#102—431no—
1310#102—431no—
1311#102—431no—
1312#102—431no—
1313#102—431no—
1314#102—431no—
1315#102C22×D4311yescharacteristic
1316#102C22×D4311yescharacteristic
1317#102C22×D4311yescharacteristic
1318C22⋊C8—431no—
1319C22⋊C8—431no—
1320C22⋊C8—431no—
1321C22⋊C8—431no—
1322C22⋊C8—431no—
1323C22⋊C8—431no—
1324C22⋊C8C22×D4311yescharacteristic
1325C22⋊C8C22×D4311yescharacteristic
1326#97—431no—
1327#97—431no—
1328C4×C8—431no—
1329C4×C8C22×D4311yescharacteristic
1330C24—861no—
1331#41—862no—
1332#41—862no—
1333#41—862no—
1334#41—862no—
1335#41—862no—
1336#41—862no—
1337#41—3442no—
1338#41—3442no—
1339C2×Q8—431no—
1340C2×Q8—431no—
1341C2×Q8—861no—
1342C2×Q8—861no—
1343C2×Q8C23×D4311yescharacteristic
1344C2×D4—21no—
1345C2×D4—21no—
1346C2×D4—431no—
1347C2×D4—431no—
1348C2×D4—431no—
1349C2×D4—431no—
1350C2×D4—431no—
1351C2×D4—431no—
1352C2×D4—431no—
1353C2×D4—431no—
1354C2×D4—431no—
1355C2×D4—431no—
1356C2×D4—431no—
1357C2×D4—861no—
1358C2×D4—861no—
1359C2×D4—861no—
1360C2×D4—861no—
1361C2×D4—861no—
1362C2×D4—862no—
1363C2×D4—862no—
1364C2×D4—861no—
1365C2×D4—861no—
1366C2×D4—861no—
1367C2×D4—861no—
1368C2×D4—861no—
1369C2×D4—861no—
1370C2×D4—861no—
1371C2×D4D4×D4311yescharacteristic
1372C2×D4C23×D4311yescharacteristic
1373C22×C4—21no—
1374C22×C4—21no—
1375C22×C4—21no—
1376C22×C4—431no—
1377C22×C4—431no—
1378C22×C4—431no—
1379C22×C4—431no—
1380C22×C4—431no—
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×C4C23×D4311yescharacteristic
1398C22×C4C23×D4311yescharacteristic
1399SD16—22no—
1400SD16—862no—
1401D8—862no—
1402D8—862no—
1403M16—22no—
1404M16—22no—
1405M16—434no—
1406M16—862no—
1407M16—862no—
1408M16—862no—
1409C2×C8—431no—
1410C2×C8—431no—
1411C2×C8—431no—
1412C2×C8—431no—
1413C2×C8—862no—
1414C2×C8—862no—
1415C2×C8—862no—
1416C2×C8—862no—
1417C2×C8—862no—
1418C2×C8—862no—
1419C2×C8C23×D4311yescharacteristic
1420C2×C8C23×D4311yescharacteristic
1421C2×C8C23×D4311yescharacteristic
1422C2×C8C23×D4311yescharacteristic
1423C4⋊C4—21no—
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—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⋊C4D4×D4311yescharacteristic
1464C4⋊C4C23×D4311yescharacteristic
1465C4⋊C4C23×D4311yescharacteristic
1466C4⋊C4C23×D4311yescharacteristic
1467C4⋊C4C23×D4311yescharacteristic
1468C4⋊C4C23×D4311yescharacteristic
1469C4⋊C4C23×D4311yescharacteristic
1470C22⋊C4—21no—
1471C22⋊C4—21no—
1472C22⋊C4—21no—
1473C22⋊C4—21no—
1474C22⋊C4—21no—
1475C22⋊C4—21no—
1476C22⋊C4—21no—
1477C22⋊C4—431no—
1478C22⋊C4—431no—
1479C22⋊C4—431no—
1480C22⋊C4—431no—
1481C22⋊C4—431no—
1482C22⋊C4—431no—
1483C22⋊C4—861no—
1484C22⋊C4—861no—
1485C22⋊C4—861no—
1486C22⋊C4—861no—
1487C22⋊C4—861no—
1488C22⋊C4—861no—
1489C22⋊C4—861no—
1490C22⋊C4—861no—
1491C22⋊C4—861no—
1492C22⋊C4—861no—
1493C22⋊C4—861no—
1494C22⋊C4—861no—
1495C22⋊C4—861no—
1496C22⋊C4—861no—
1497C22⋊C4—861no—
1498C22⋊C4—861no—
1499C22⋊C4—861no—
1500C22⋊C4—861no—
1501C22⋊C4—861no—
1502C22⋊C4—861no—
1503C22⋊C4—861no—
1504C22⋊C4—861no—
1505C22⋊C4—861no—
1506C22⋊C4—861no—
1507C22⋊C4—861no—
1508C22⋊C4—861no—
1509C22⋊C4D4×D4311yescharacteristic
1510C22⋊C4D4×D4311yescharacteristic
1511C42—21no—
1512C42—21no—
1513C42—21no—
1514C42—431no—
1515C42—431no—
1516C42—431no—
1517C42—861no—
1518C42—861no—
1519C42—861no—
1520C42—861no—
1521C42—861no—
1522C42—861no—
1523C42—861no—
1524C42—861no—
1525C42—861no—
1526C42—861no—
1527C42C23×D4311yescharacteristic
1528C23—21no—
1529C23—431no—
1530C23—431no—
1531C23—431no—
1532C23—861no—
1533C23—861no—
1534C23—3441no—
1535C23—3441no—
1536C23—1722no—
1537C23C2×D4×D4311yescharacteristic
1538C23C2×D4×D4311yescharacteristic
1539Q8—21no—
1540Q8—21no—
1541Q8—862no—
1542Q8—862no—
1543Q8—3441no—
1544Q8—1722no—
1545D4—21no—
1546D4—21no—
1547D4—41no—
1548D4—81no—
1549D4—81no—
1550D4—862no—
1551D4—862no—
1552D4—862no—
1553D4—862no—
1554D4—862no—
1555D4—862no—
1556D4—861no—
1557D4—861no—
1558D4—861no—
1559D4—861no—
1560D4—3441no—
1561D4—3441no—
1562D4—3441no—
1563D4—3441no—
1564D4—3441no—
1565D4—3441no—
1566D4—3441no—
1567D4—3441no—
1568D4—3441no—
1569D4—3441no—
1570D4—1721no—
1571D4—1722no—
1572D4—1722no—
1573D4—1721no—
1574D4—1721no—
1575C2×C4—21no—
1576C2×C4—21no—
1577C2×C4—21no—
1578C2×C4—21no—
1579C2×C4—21no—
1580C2×C4—21no—
1581C2×C4—21no—
1582C2×C4—21no—
1583C2×C4—21no—
1584C2×C4—21no—
1585C2×C4—21no—
1586C2×C4—81no—
1587C2×C4—81no—
1588C2×C4—81no—
1589C2×C4—431no—
1590C2×C4—432no—
1591C2×C4—432no—
1592C2×C4—431no—
1593C2×C4—431no—
1594C2×C4—431no—
1595C2×C4—431no—
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—1721no—
1619C2×C4—1721no—
1620C2×C4—1722no—
1621C2×C4—1722no—
1622C2×C4—1722no—
1623C2×C4C2×D4×D4311yescharacteristic
1624C2×C4C2×D4×D4311yescharacteristic
1625C2×C4C2×D4×D4311yescharacteristic
1626C2×C4C2×D4×D4311yescharacteristic
1627C2×C4C24×D4311yescharacteristic
1628C8—21no—
1629C8—21no—
1630C8—21no—
1631C8—432no—
1632C8—861no—
1633C8—861no—
1634C8—861no—
1635C8#41×D4312yes—
1636C22—21no—
1637C22—21no—
1638C22—21no—
1639C22—21no—
1640C22—21no—
1641C22—21no—
1642C22—41no—
1643C22—41no—
1644C22—41no—
1645C22—432no—
1646C22—861no—
1647C22—861no—
1648C22—861no—
1649C22—861no—
1650C22—861no—
1651C22—861no—
1652C22—861no—
1653C22—861no—
1654C22—3444no—
1655C22—1721no—
1656C22—1721no—
1657C22—1721no—
1658C22—1721no—
1659C22—1721no—
1660C22—1721no—
1661C22C22×D4×D4311yescharacteristic
1662C4—21no—
1663C4—21no—
1664C4—21no—
1665C4—21no—
1666C4—41no—
1667C4—41no—
1668C4—41no—
1669C4—41no—
1670C4—41no—
1671C4—41no—
1672C4—41no—
1673C4—432no—
1674C4—861no—
1675C4—861no—
1676C4—861no—
1677C4—861no—
1678C4—1721no—
1679C4—1721no—
1680C4—1721no—
1681C4—1721no—
1682C4—1721no—
1683C4—1721no—
1684C4C2×#41×D4311yescharacteristic
1685C42−1+4×D4311yescharacteristic
1686C2—41no—
1687C2—41no—
1688C2—81no—
1689C2—862no—
1690C2—3441no—
1691C2—3441no—
1692C2—1721no—
1693C2—1721no—
1694C2#547×D4311yescharacteristic
1695C2#1914936811yescharacteristic
1696C2#1914937311yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3351C2
socleC22×C43C23×D4
hypercenter#3351D43
hypocenterC43#61283
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3351

Complements

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

NH ≅ G/Ntype
1. #19148509C2semidirect
2. #19148441C2semidirect
3. #19147200C2semidirect
4. #19147198C2semidirect
5. #19147152C2semidirect
6. #19147114C2semidirect
7. #19147105C2semidirect
8. #19147096C2semidirect
9. #19147093C2semidirect
10. #19147066C2semidirect
11. #19147063C2semidirect
12. #19147033C2semidirect
13. #19147030C2semidirect
14. #19146996C2semidirect
15. #19146991C2semidirect
16. #19146979C2semidirect
17. #19146974C2semidirect
18. #19145143C2semidirect
19. #19144579C2semidirect
20. #19144576C2semidirect
21. #19144552C2semidirect
22. #19144550C2semidirect
23. #19144382C2semidirect
24. #478×D43C2semidirect
25. #19144270C2semidirect
26. #19144270C2semidirect
27. C4×#13063352C2semidirect
28. #19143340C2semidirect
29. #19143194C2semidirect
30. #19143189C2semidirect
31. C43×#3351C2semidirect
42. #14583602C22semidirect
45. #14583597C22semidirect
47. #14583595C22semidirect
50. #14583593C22semidirect
51. #14583591C22semidirect
52. #14583590C22semidirect
53. #14583583C22semidirect
78. #14583307C22semidirect
79. #14583307C22semidirect
80. #14583306C22semidirect
81. #14583306C22semidirect
82. #14583301C22semidirect
83. #14583298C22semidirect
84. #14583298C22semidirect
85. #14583239C22semidirect
86. #14583239C22semidirect
87. #14583237C22semidirect
88. #14583233C22semidirect
89. #14583232C22semidirect
90. #14583228C22semidirect
93. #14583225C22semidirect
94. #14583225C22semidirect
96. #14583224C22semidirect
98. #14583223C22semidirect
104. #14583219C22semidirect
105. #14583217C22semidirect
107. #14583214C22semidirect
109. #14583213C22semidirect
113. #14583206C22semidirect
117. #14583200C22semidirect
122. #14583196C22semidirect
123. #14583192C22semidirect
124. #14583188C22semidirect
125. #14583182C22semidirect
126. #14583178C22semidirect
148. #14582976C22semidirect
149. #14582968C22semidirect
150. #14582968C22semidirect
151. #14582967C22semidirect
152. #14582967C22semidirect
153. C8×D172C22semidirect
154. D4×C43⋊C8C22semidirect
155. #14582941C22semidirect
156. #14582941C22semidirect
159. #14582940C22semidirect
160. #14582940C22semidirect
164. #14582938C22semidirect
165. #14582938C22semidirect
167. #14582936C22semidirect
168. #14582935C22semidirect
169. #14582935C22semidirect
171. #14582934C22semidirect
172. C2×#13063258C22semidirect
174. #107×D43C22semidirect
175. C2×#13063256C22semidirect
177. #106×D43C22semidirect
189. C43×#552C22semidirect
190. C43×#499C22semidirect
191. C43×#485C22semidirect
192. C43×#483C22semidirect
195. C43×#479C22semidirect
200. C43×#436C22semidirect
201. C43×#428C22semidirect
202. C43×#428C22semidirect
674. #10621872#41semidirect
843. #3351D43semidirect
903. #552C2×D43semidirect
935. #499C2×D43semidirect
939. #485C2×D43semidirect
943. #483C2×D43semidirect
969. #479C2×D43semidirect
1009. #436C2×D43semidirect
1027. #428C2×D43semidirect
1028. #428C2×D43semidirect
1051. C43#61283semidirect

Maximal subgroups

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

subgroupindex
#191485092
#191484412
#191472002
#191471982
#191471522
#191471142
#191471052
#191470962
#191470932
#191470662
#191470632
#191470332
#191470302
#191469962
#191469912
#191469792
#191469742
#191451432
#191445792
#191445762
#191445522
#191445502
#191443822
#478×D432
#191442702
C4×#130633522
#191433402
#191431942
#191431892
C43×#33512
#6128343