Finite Group Databasebeta

← #25975891

Subgroups — #25975891

Order 11008.

1860 conjugacy classes of subgroups.

The subgroup lattice has 1712 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19148503C211yesmaximal, characteristic, complemented
2#19148441C211yesmaximal, characteristic, complemented
3#19147186C211yesmaximal, characteristic, complemented
4#19147183C211yesmaximal, characteristic, complemented
5#19147174C211yesmaximal, characteristic, complemented
6#19147172C211yesmaximal, characteristic, complemented
7#19147102C211yesmaximal, characteristic, complemented
8#19147097C211yesmaximal, characteristic, complemented
9#19147094C211yesmaximal, characteristic, complemented
10#19147089C211yesmaximal, characteristic, complemented
11#19147087C211yesmaximal, characteristic, complemented
12#19147085C211yesmaximal, characteristic, complemented
13#19147074C211yesmaximal, characteristic, complemented
14#19147003C211yesmaximal, characteristic, complemented
15#19147001C211yesmaximal, characteristic, complemented
16#19146940C211yesmaximal, characteristic, complemented
17#19146937C211yesmaximal, characteristic, complemented
18#19145140C211yesmaximal, characteristic, complemented
19#19144576C211yesmaximal, characteristic, complemented
20#19144574C211yesmaximal, characteristic, complemented
21#19144552C211yesmaximal, characteristic, complemented
22#19144546C211yesmaximal, characteristic, complemented
23#19144382C211yesmaximal, characteristic, complemented
24#474×D43C211yesmaximal, characteristic, complemented
25#19144270C211yesmaximal, characteristic, complemented
26#19144268C211yesmaximal, characteristic, complemented
27#19143400C211yesmaximal, characteristic, complemented
28#19143336C211yesmaximal, characteristic, complemented
29#19143194C211yesmaximal, characteristic, complemented
30#19143191C211yesmaximal, characteristic, complemented
31C43×#3346C211yesmaximal, characteristic, complemented
32C2×#13063352C2211yescharacteristic
33C2×#13063333C2211yescharacteristic
34C2×#13063331C2211yescharacteristic
35#14583633—21no—
36#14583632—21no—
37#14583620C2211yescharacteristic, complemented
38#14583620C2211yescharacteristic, complemented
39#14583616—21no—
40#14583615C2211yescharacteristic, complemented
41#14583614C2211yescharacteristic, complemented
42#14583613C2211yescharacteristic
43#14583612C2211yescharacteristic
44#14583609C2211yescharacteristic, complemented
45#14583602—21no—
46#14583602C2211yescharacteristic
47#14583599—21no—
48#14583599C2211yescharacteristic
49#14583595C2211yescharacteristic
50#14583567—21no—
51#14583559—21no—
52#14583559—21no—
53#14583550C2211yescharacteristic
54#14583550C2211yescharacteristic, complemented
55#14583550C2211yescharacteristic, complemented
56#14583549C2211yescharacteristic
57#14583519—21no—
58#14583519—21no—
59#14583488—21no—
60#14583481—21no—
61#14583479C2211yescharacteristic
62#14583479C2211yescharacteristic
63#14583465C2211yescharacteristic
64#14583465C2211yescharacteristic
65#14583455—21no—
66#14583455C2211yescharacteristic
67#14583446—21no—
68#14583446C2211yescharacteristic
69C4⋊Q8×D43C2211yescharacteristic
70#14583408—21no—
71#14583407—21no—
72#14583380C2211yescharacteristic
73#14583380C2211yescharacteristic
74#14583380C2211yescharacteristic
75#14583379C2211yescharacteristic
76C4×#10621902C2211yescharacteristic
77C4×D4×D43C2211yescharacteristic
78#14583309C2211yescharacteristic, complemented
79#14583308C2211yescharacteristic, complemented
80#14583305C2211yescharacteristic, complemented
81#14583303C2211yescharacteristic, complemented
82#14583303C2211yescharacteristic, complemented
83#14583296C2211yescharacteristic, complemented
84#14583296C2211yescharacteristic, complemented
85#14583239C2211yescharacteristic, complemented
86#14583238C2211yescharacteristic, complemented
87#14583237C2211yescharacteristic, complemented
88#14583233C2211yescharacteristic, complemented
89#14583233C2211yescharacteristic, complemented
90#14583232C2211yescharacteristic, complemented
91#14583226C2211yescharacteristic
92#14583226C2211yescharacteristic, complemented
93#14583225C2211yescharacteristic
94#14583225C2211yescharacteristic, complemented
95#14583224C2211yescharacteristic
96#14583224C2211yescharacteristic
97#14583224C2211yescharacteristic, complemented
98#14583223C2211yescharacteristic, complemented
99#14583222C2211yescharacteristic
100#14583221C2211yescharacteristic
101#14583220C2211yescharacteristic
102#14583220C2211yescharacteristic
103#14583219C2211yescharacteristic
104#14583217C2211yescharacteristic
105#14583216C2211yescharacteristic
106#14583214C2211yescharacteristic
107#14583214C2211yescharacteristic, complemented
108#14583214C2211yescharacteristic, complemented
109#14583213C2211yescharacteristic, complemented
110#14583212C2211yescharacteristic
111#14583212C2211yescharacteristic, complemented
112#14583211C2211yescharacteristic
113#14583206C2211yescharacteristic, complemented
114#14583200C2211yescharacteristic, complemented
115#14583196C2211yescharacteristic, complemented
116#14583192C2211yescharacteristic, complemented
117#14583188C2211yescharacteristic, complemented
118#14583182C2211yescharacteristic, complemented
119#14583180C2211yescharacteristic
120#14583179C2211yescharacteristic
121#14583178C2211yescharacteristic
122#14583178C2211yescharacteristic
123#14583178C2211yescharacteristic, complemented
124#14583177C2211yescharacteristic
125#14583177C2211yescharacteristic
126#14583176C2211yescharacteristic
127#14583153C2211yescharacteristic
128#14583152C2211yescharacteristic
129#14583151C2211yescharacteristic
130#14583150C2211yescharacteristic
131#14583148C2211yescharacteristic
132#14583147C2211yescharacteristic
133#14583142C2211yescharacteristic
134#14583136C2211yescharacteristic
135#14583135C2211yescharacteristic
136#14583134C2211yescharacteristic
137#14583133C2211yescharacteristic
138#14583131C2211yescharacteristic
139#14583130C2211yescharacteristic
140#14583125C2211yescharacteristic
141#14583012C2211yescharacteristic
142#14583009C2211yescharacteristic
143#14582997C2211yescharacteristic
144SD16×Dic43C2211yescharacteristic
145#14582984C2211yescharacteristic
146#14582981C2211yescharacteristic
147#14582979C2211yescharacteristic
148#14582975C2211yescharacteristic, complemented
149#14582974C2211yescharacteristic, complemented
150#14582972C2211yescharacteristic, complemented
151#14582971C2211yescharacteristic, complemented
152#14582969C2211yescharacteristic, complemented
153C8×C22⋊D43C2211yescharacteristic, complemented
154(C22⋊D43)⋊C8C2211yescharacteristic, complemented
155#14582941C2211yescharacteristic, complemented
156#14582940C2211yescharacteristic
157#14582940C2211yescharacteristic
158#14582940C2211yescharacteristic
159#14582940C2211yescharacteristic, complemented
160#14582940C2211yescharacteristic, complemented
161#14582940C2211yescharacteristic, complemented
162#14582939C2211yescharacteristic, complemented
163#14582939C2211yescharacteristic, complemented
164#14582938C2211yescharacteristic
165#14582938C2211yescharacteristic
166#14582938C2211yescharacteristic, complemented
167#14582937C2211yescharacteristic, complemented
168#14582936C2211yescharacteristic
169#14582936C2211yescharacteristic, complemented
170#14582935C2211yescharacteristic, complemented
171#14582934C2211yescharacteristic
172#14582934C2211yescharacteristic, complemented
173C2×#13063258C2211yescharacteristic, complemented
174#107×D43C2211yescharacteristic
175#107×D43C2211yescharacteristic
176#107×D43C2211yescharacteristic, complemented
177#107×D43C2211yescharacteristic, complemented
178C4⋊C8×D43C2211yescharacteristic
179#14582902C2211yescharacteristic
180#14582899C2211yescharacteristic
181#14582894C2211yescharacteristic
182#14582894C2211yescharacteristic
183#102×D43C2211yescharacteristic
184#102×D43C2211yescharacteristic
185#14582864C2211yescharacteristic
186#14582864C2211yescharacteristic
187#14582851C2211yescharacteristic
188C43×#554C2211yescharacteristic, complemented
189C43×#553C2211yescharacteristic
190C43×#501C2211yescharacteristic, complemented
191C43×#485C2211yescharacteristic, complemented
192C43×#484C2211yescharacteristic, complemented
193C43×#481C2211yescharacteristic
194C43×#480C2211yescharacteristic
195C43×#479C2211yescharacteristic, complemented
196C43×#474C2211yescharacteristic
197C43×#468C2211yescharacteristic
198C43×#465C2211yescharacteristic
199C43×#440C2211yescharacteristic
200C43×#435C2211yescharacteristic, complemented
201C43×#428C2211yescharacteristic, complemented
202C2×#107×C43C2211yescharacteristic, complemented
203C2×#10621902C2311yescharacteristic
204C2×#10621898—21no—
205C2×#10621898—21no—
206C2×#10621898—21no—
207C2×#10621898C2311yescharacteristic
208C2×#10621898C2311yescharacteristic
209C2×#10621900—21no—
210C2×Q8×D43—21no—
211C2×D4×D43C2311yescharacteristic
212C22×C4×D43—21no—
213#13063352—24no—
214C2×#10621884C2311yescharacteristic
215C2×D344C2311yescharacteristic
216C2×#10621882C2311yescharacteristic
217#13063333—24no—
218#13063331—24no—
219C2×#10621877C2311yescharacteristic
220C2×#10621872C2311yescharacteristic
221C2×#10621872C2311yescharacteristic
222C2×#10621872C2311yescharacteristic
223C2×#10621872C2311yescharacteristic
224C22×C43⋊C8C2311yescharacteristic
225C2×C8×D43C2311yescharacteristic
226C2×C8×D43C2311yescharacteristic
227C2×C8×D43C2311yescharacteristic
228C2×C8×D43C2311yescharacteristic
229#13063325C2311yescharacteristic
230#13063324—21no—
231#13063324D411yescharacteristic
232#13063324C2311yescharacteristic
233#13063324C2311yescharacteristic
234#13063324C2311yescharacteristic
235#13063324C2311yescharacteristic
236#13063323—21no—
237#13063321—21no—
238#13063321—21no—
239#13063321D411yescharacteristic
240#13063320—21no—
241#13063320—21no—
242#13063320—21no—
243#13063320—21no—
244#13063318—21no—
245#13063318—21no—
246#13063318—21no—
247#13063317—21no—
248#13063317C2311yescharacteristic
249#13063314—21no—
250#13063314—21no—
251#13063313—21no—
252#13063312—21no—
253#13063311—21no—
254#13063311—21no—
255#13063311—21no—
256#13063311—21no—
257#13063311—21no—
258#13063311—21no—
259#13063311—21no—
260#13063311—21no—
261#13063311D411yescharacteristic
262#13063311D411yescharacteristic
263#13063310—21no—
264#13063310—21no—
265#13063310—21no—
266#13063310—21no—
267#13063308—21no—
268#13063308—21no—
269#13063308—21no—
270#13063308—21no—
271#13063307—21no—
272#13063307—21no—
273#13063306—21no—
274#13063303—21no—
275#13063303—21no—
276#13063303—21no—
277#13063303—21no—
278#13063303—21no—
279#13063303—21no—
280#13063303—21no—
281#13063303—21no—
282#13063303—21no—
283#13063302—21no—
284#13063301C2311yescharacteristic
285#13063301C2311yescharacteristic
286#13063300—21no—
287#13063300—21no—
288#13063300—21no—
289#13063300—21no—
290#13063300D411yescharacteristic
291#13063300C2311yescharacteristic
292#13063300C2311yescharacteristic
293#13063300C2311yescharacteristic
294#13063300C2311yescharacteristic
295#13063299C2311yescharacteristic
296#13063299C2311yescharacteristic
297#13063299C2311yescharacteristic
298#13063299C2311yescharacteristic
299#13063298—21no—
300#13063298—21no—
301#13063298—21no—
302#13063298—21no—
303#13063298—21no—
304#13063298—21no—
305#13063298D411yescharacteristic
306#13063298D411yescharacteristic
307#13063297—21no—
308#13063297—21no—
309#13063296—21no—
310#13063296D411yescharacteristic
311#13063296C2311yescharacteristic
312#13063296C2311yescharacteristic
313#13063295—21no—
314#13063295—21no—
315#13063293—21no—
316#13063293—21no—
317Q8×Dic43C2311yescharacteristic
318C4×Dic86—21no—
319#13063290—21no—
320#13063290—21no—
321#13063290—21no—
322#13063290—21no—
323#13063290—21no—
324#13063290—21no—
325#13063290—21no—
326C4×D172—21no—
327C4×D172—21no—
328C4×D172—21no—
329C4×D172C2311yescharacteristic
330C4×D172C2311yescharacteristic
331C4×D172C2311yescharacteristic
332D4×Dic43C2311yescharacteristic
333#13063287—21no—
334#13063287—21no—
335#13063287—21no—
336#13063287—21no—
337#13063287—21no—
338#13063287C2311yescharacteristic
339#13063287C2311yescharacteristic
340C4×C22⋊D43—21no—
341C4×C22⋊D43—21no—
342C4×C22⋊D43—21no—
343C4×C22⋊D43—21no—
344C4×C22⋊D43—21no—
345C4×C22⋊D43—21no—
346C4×C22⋊D43—21no—
347C4×C22⋊D43—21no—
348C4×C22⋊D43C2311yescharacteristic
349C4×C22⋊D43C2311yescharacteristic
350(C22⋊D43)⋊C4—21no—
351(C22⋊D43)⋊C4—21no—
352(C22⋊D43)⋊C4—21no—
353(C22⋊D43)⋊C4—21no—
354#13063284C2311yescharacteristic
355#13063284C2311yescharacteristic
356#13063284C2311yescharacteristic
357#13063283—21no—
358#13063283—21no—
359#13063283—21no—
360#13063283C2311yescharacteristic
361#13063283C2311yescharacteristic
362#13063283C2311yescharacteristic
363#13063283C2311yescharacteristic
364#13063283C2311yescharacteristic
365#13063283C2311yescharacteristic
366#13063283C2311yescharacteristic
367#13063282—21no—
368#13063281—21no—
369C2×C4⋊Dic43C2311yescharacteristic
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#13063258C2311yescharacteristic
396#13063258C2311yescharacteristic
397#13063257C2311yescharacteristic
398#13063257C2311yescharacteristic
399#13063257C2311yescharacteristic
400#13063257C2311yescharacteristic
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#13063236C2311yescharacteristic
436C8×Dic43C2311yescharacteristic
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×D43—21no—
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⋊D43—21no—
500C2×C22⋊D43—21no—
501C2×C22⋊D43C2×D411yescharacteristic
502C2×C22⋊D43C2×D411yescharacteristic
503C2×C22⋊D43C2×D411yescharacteristic
504C2×C22⋊D43C2×D411yescharacteristic
505C2×C22⋊D43C2×D411yescharacteristic
506C2×C22⋊D43C2×D411yescharacteristic
507C22×Dic43—21no—
508C22×Dic43—21no—
509#10621902—22no—
510#10621902—22no—
511Q8×D43—82no—
512#10621900—82no—
513D4×D43—22no—
514D4×D43—22no—
515#10621898—22no—
516#10621898—22no—
517#10621898—22no—
518#10621898—22no—
519#10621898—82no—
520#10621898—82no—
521#10621898—82no—
522C2×D172—21no—
523C2×D172—21no—
524C2×D172—21no—
525C2×D172—21no—
526C2×D172—21no—
527C2×D172C2×D411yescharacteristic
528C2×D172C2×D411yescharacteristic
529C2×D172C2×D411yescharacteristic
530C2×D172C2411yescharacteristic
531C2×D172C2411yescharacteristic
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—21no—
542C2×C4×D43—21no—
543C2×C4×D43—21no—
544C2×C4×D43—82no—
545C2×C4×D43C2×D411yescharacteristic
546C2×C4×D43C2×D411yescharacteristic
547C2×C4×D43C2411yescharacteristic
548C2×C4×D43C2411yescharacteristic
549C2×C4×D43C2411yescharacteristic
550C2×Dic86—21no—
551C2×Dic86—21no—
552C2×Dic86—21no—
553C2×Dic86—21no—
554C2×Dic86—21no—
555C2×Dic86C2×D411yescharacteristic
556C2×Dic86C2×D411yescharacteristic
557SD16×C43—22no—
558M16×C43—22no—
559C2×C8×C43—22no—
560C2×C8×C43C2411yescharacteristic
561C2×C8×C43C2411yescharacteristic
562C2×C8×C43C2411yescharacteristic
563C2×C8×C43C2411yescharacteristic
564C4⋊C4×C43—21no—
565C4⋊C4×C43—21no—
566C4⋊C4×C43—21no—
567C4⋊C4×C43—21no—
568C4⋊C4×C43—21no—
569C4⋊C4×C43—21no—
570C4⋊C4×C43—21no—
571C4⋊C4×C43—21no—
572C4⋊C4×C43—21no—
573C4⋊C4×C43C2×D411yescharacteristic
574C4⋊C4×C43C2411yescharacteristic
575C4⋊C4×C43C2411yescharacteristic
576C4⋊C4×C43C2411yescharacteristic
577C4⋊C4×C43C2411yescharacteristic
578C4⋊C4×C43C2411yescharacteristic
579C4⋊C4×C43C2411yescharacteristic
580C22⋊C4×C43—21no—
581C22⋊C4×C43—21no—
582C22⋊C4×C43—21no—
583C22⋊C4×C43—21no—
584C22⋊C4×C43—21no—
585C22⋊C4×C43—21no—
586C22⋊C4×C43C2×D411yescharacteristic
587C22⋊C4×C43C2×D411yescharacteristic
588C42×C43—21no—
589C42×C43—21no—
590C42×C43C2411yescharacteristic
591C22⋊Dic43—21no—
592C22⋊Dic43—21no—
593C22⋊Dic43—21no—
594C22⋊Dic43—21no—
595C22⋊Dic43—21no—
596C22⋊Dic43—21no—
597C22⋊Dic43C2×D411yescharacteristic
598C22⋊Dic43C2×D411yescharacteristic
599#10621884—22no—
600#10621882—22no—
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)⋊C4—21no—
617(C2×D43)⋊C4—21no—
618(C2×D43)⋊C4—21no—
619(C2×D43)⋊C4—21no—
620(C2×D43)⋊C4—21no—
621(C2×D43)⋊C4—21no—
622(C2×D43)⋊C4C2×D411yescharacteristic
623(C2×D43)⋊C4C2×D411yescharacteristic
624(C2×D43)⋊C4C2×D411yescharacteristic
625(C2×D43)⋊C4C2×D411yescharacteristic
626C4⋊Dic43—21no—
627C4⋊Dic43—21no—
628C4⋊Dic43—21no—
629C4⋊Dic43C2×D411yescharacteristic
630C4⋊Dic43C2411yescharacteristic
631C4⋊Dic43C2411yescharacteristic
632C4⋊Dic43C2411yescharacteristic
633C4⋊Dic43C2411yescharacteristic
634C4⋊Dic43C2411yescharacteristic
635C4⋊Dic43C2411yescharacteristic
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⋊C4C2×D411yescharacteristic
652Dic43⋊C4C2×D411yescharacteristic
653C4×Dic43—21no—
654C4×Dic43—21no—
655C4×Dic43—21no—
656C4×Dic43—21no—
657C4×Dic43—21no—
658C4×Dic43—21no—
659C4×Dic43—21no—
660C4×Dic43—21no—
661C4×Dic43—21no—
662C4×Dic43—21no—
663C4×Dic43—21no—
664C4×Dic43C2×D411yescharacteristic
665C4×Dic43C2×D411yescharacteristic
666C4×Dic43C2411yescharacteristic
667#10621877—22no—
668C2×C43⋊C8—22no—
669C2×C43⋊C8C2411yescharacteristic
670C2×C43⋊C8C2411yescharacteristic
671C2×C43⋊C8C2411yescharacteristic
672C2×C43⋊C8C2411yescharacteristic
673D344—22no—
674#10621872—22no—
675#10621872—22no—
676#10621872—22no—
677#10621872#4114yescomplemented
678C8×D43—22no—
679C8×D43—22no—
680C8×D43—22no—
681C8×D43—22no—
682C23×C43—21no—
683C23×C43C22×D411yescharacteristic
684C23×C43C22×D411yescharacteristic
685C22×D43—21no—
686C22×D43—21no—
687C22×D43—42no—
688C22×D43—81no—
689C22×D43—81no—
690C22×D43C22×D411yescharacteristic
691C22×D43C22×D411yescharacteristic
692C22×D43C22×D411yescharacteristic
693Q8×C43—21no—
694Q8×C43—21no—
695Q8×C43—81no—
696D4×C43—21no—
697D4×C43—21no—
698D4×C43—41no—
699D4×C43—81no—
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—81no—
713C2×C4×C43—81no—
714C2×C4×C43—81no—
715C2×C4×C43—81no—
716C2×C4×C43C22×D411yescharacteristic
717C2×C4×C43C22×D411yescharacteristic
718C2×C4×C43C22×D411yescharacteristic
719C2×C4×C43C22×D411yescharacteristic
720C2×C4×C43C2511yescharacteristic
721C22⋊D43—22no—
722C22⋊D43—22no—
723C22⋊D43—22no—
724C22⋊D43—22no—
725C22⋊D43—22no—
726C22⋊D43—22no—
727C22⋊D43—42no—
728C22⋊D43—81no—
729C22⋊D43—81no—
730C22⋊D43—81no—
731C22⋊D43—81no—
732C22⋊D43—81no—
733C22⋊D43—81no—
734C2×Dic43—21no—
735C2×Dic43—21no—
736C2×Dic43—21no—
737C2×Dic43—21no—
738C2×Dic43—21no—
739C2×Dic43—21no—
740C2×Dic43—42no—
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—21no—
752D172—21no—
753D172—41no—
754D172—42no—
755D172—81no—
756D172—81no—
757D172—81no—
758D172—81no—
759C4×D43—21no—
760C4×D43—21no—
761C4×D43—21no—
762C4×D43—21no—
763C4×D43—22no—
764C4×D43—41no—
765C4×D43—42no—
766C4×D43—42no—
767C4×D43—42no—
768C4×D43—42no—
769C4×D43—81no—
770C4×D43—81no—
771C4×D43—81no—
772C4×D43—81no—
773C4×D43—81no—
774C4×D43—81no—
775C4×D43—81no—
776C4×D43—81no—
777C4×D43C2×#4112yes—
778C4×D432−1+412yes—
779Dic86—22no—
780Dic86—22no—
781Dic86—42no—
782Dic86—42no—
783Dic86—42no—
784Dic86—81no—
785Dic86—81no—
786C8×C43—21no—
787C8×C43—21no—
788C8×C43—21no—
789C8×C43C2×#4112yes—
790C43⋊C8—21no—
791C43⋊C8—21no—
792C43⋊C8—21no—
793C43⋊C8C2×#4112yes—
794#61278—431nomaximal, Sylow
795C22×C43—21no—
796C22×C43—21no—
797C22×C43—21no—
798C22×C43—21no—
799C22×C43—21no—
800C22×C43—21no—
801C22×C43—41no—
802C22×C43—41no—
803C22×C43—41no—
804C22×C43C23×D411yescharacteristic
805C2×D43—21no—
806C2×D43—21no—
807C2×D43—21no—
808C2×D43—21no—
809C2×D43—21no—
810C2×D43—21no—
811C2×D43—21no—
812C2×D43—21no—
813C2×D43—41no—
814C2×D43—41no—
815C2×D43—41no—
816C2×D43—41no—
817C2×D43—41no—
818C2×D43—41no—
819C2×D43—84no—
820C2×D43#54712yes—
821C4×C43—21no—
822C4×C43—21no—
823C4×C43—21no—
824C4×C43—21no—
825C4×C43—41no—
826C4×C43—41no—
827C4×C43—41no—
828C4×C43—41no—
829C4×C43—41no—
830C4×C43—41no—
831C4×C43—41no—
832C4×C43C22×#4111yescharacteristic
833C4×C43C2×2−1+411yescharacteristic
834Dic43—21no—
835Dic43—21no—
836Dic43—21no—
837Dic43—41no—
838Dic43—41no—
839Dic43—41no—
840Dic43—41no—
841Dic43—41no—
842Dic43—41no—
843Dic43#54712yes—
844Dic43#57612yes—
845#3511—431no—
846#3506—431no—
847#3354—431no—
848#3354—431no—
849#3353—431no—
850#3353—431no—
851#3347—431no—
852#3347—431no—
853#3347—431no—
854#3347—431no—
855#3346—431no—
856#3346—431no—
857#3346—431no—
858#3346D4311yescharacteristic, complemented
859#3340—431no—
860#3340—431no—
861#3334—431no—
862#3334—431no—
863#3165—431no—
864#3098—431no—
865#3098—431no—
866#3096—431no—
867#3096—431no—
868#3076—431no—
869C2×#474—431no—
870#3062—431no—
871#3062—431no—
872C4×AGL(1,ℤ/8)—431no—
873#2935—431no—
874#2913—431no—
875#2913—431no—
876C2×C43—41no—
877C2×C43—41no—
878C2×C43—81no—
879C2×C43C2×#54711yescharacteristic
880C2×C43C2×#57611yescharacteristic
881C2×C43#358611yescharacteristic
882D43—22no—
883D43—41no—
884D43—41no—
885D43—81no—
886D43—81no—
887C2×AGL(1,ℤ/8)—431no—
888C2×#131—431no—
889C2×#131—431no—
890#559—861no—
891#559—861no—
892#556—431no—
893#556—431no—
894#556—861no—
895#555—431no—
896#555—431no—
897#555—431no—
898#555—431no—
899#554—431no—
900#554C2×D4311yescharacteristic, complemented
901#553—431no—
902#553—431no—
903#553—431no—
904#553—861no—
905#553—861no—
906#553C2×D4311yescharacteristic
907#550—861no—
908#548—861no—
909#548—861no—
910#547—431no—
911#547—431no—
912#547—431no—
913#547—431no—
914#542—861no—
915#542—861no—
916#538—861no—
917#538—861no—
918#537—431no—
919#537—431no—
920#535—431no—
921#535—431no—
922#533—431no—
923#533—861no—
924#532—431no—
925#532—861no—
926C2×C4⋊Q8—431no—
927#525—861no—
928#525—861no—
929#520—431no—
930#520—431no—
931#520—431no—
932#520—431no—
933C4×#41—431no—
934C2×C4×D4—431no—
935#501—431no—
936#501—431no—
937#501—431no—
938#501C2×D4311yescharacteristic, complemented
939#500—431no—
940#500—431no—
941#498—431no—
942#498—431no—
943#485—431no—
944#485—431no—
945#485—431no—
946#485C2×D4311yescharacteristic, complemented
947#484—431no—
948#484—431no—
949#484—431no—
950#484C2×D4311yescharacteristic, complemented
951#482—431no—
952#482—431no—
953#482—431no—
954#482—431no—
955#482—431no—
956#482—431no—
957#482—431no—
958#482—431no—
959#482—431no—
960#482—431no—
961#482—431no—
962#482—431no—
963#481—431no—
964#481—431no—
965#481—431no—
966#481C2×D4311yescharacteristic
967#480—431no—
968#480—431no—
969#480—431no—
970#480—431no—
971#480—431no—
972#480—431no—
973#480—431no—
974#480C2×D4311yescharacteristic
975#479—431no—
976#479C2×D4311yescharacteristic, complemented
977#478—431no—
978#478—431no—
979#477—431no—
980#476—431no—
981#475—431no—
982#474—431no—
983#474—431no—
984#474—431no—
985#474—431no—
986#474—431no—
987#474—431no—
988#474—431no—
989#474—431no—
990#474C2×D4311yescharacteristic
991#469—431no—
992#469—431no—
993#469—431no—
994#469—431no—
995#468—431no—
996#468—431no—
997#468—431no—
998#468C2×D4311yescharacteristic
999#466—431no—
1000#466—431no—
1001#466—431no—
1002#466—431no—
1003#465—431no—
1004#465—431no—
1005#465—431no—
1006#465C2×D4311yescharacteristic
1007#442—431no—
1008#442—431no—
1009#440—431no—
1010#440C2×D4311yescharacteristic
1011C4×SD16—431no—
1012C4×SD16—431no—
1013C4×D8—431no—
1014C4×D8—431no—
1015#436—431no—
1016#436—431no—
1017#435—431no—
1018#435—431no—
1019#435—431no—
1020#435C2×D4311yescharacteristic, complemented
1021C8×D4—431no—
1022C8×D4—431no—
1023#428—431no—
1024#428—431no—
1025#428—431no—
1026#428—431no—
1027#428—431no—
1028#428—431no—
1029#428—431no—
1030#428—431no—
1031#428—431no—
1032#428—431no—
1033#428—431no—
1034#428—431no—
1035#428C2×D4311yescharacteristic, complemented
1036#427—431no—
1037#427—431no—
1038#427—431no—
1039#427—431no—
1040#427—431no—
1041#427—431no—
1042C2×#107—431no—
1043C2×#107—431no—
1044C2×#107—431no—
1045C2×#107—431no—
1046C2×#107—431no—
1047C2×#107C2×D4311yescharacteristic, complemented
1048C2×C4⋊C8—431no—
1049#418—431no—
1050#417—431no—
1051#416—431no—
1052#416—431no—
1053C2×#102—431no—
1054C2×#102—431no—
1055#408—431no—
1056#408—431no—
1057C4×M16—431no—
1058C43#6127811yescharacteristic, complemented, Sylow
1059C2×#41—431no—
1060C2×#41—431no—
1061C2×#41—431no—
1062C2×#41—861no—
1063C2×#41—861no—
1064C2×#41—861no—
1065C2×#41—861no—
1066C22×Q8—861no—
1067C22×D4—431no—
1068C23×C4—861no—
1069AGL(1,ℤ/8)—864no—
1070C2×SD16—431no—
1071C2×SD16C22×D4311yescharacteristic
1072C2×D8—431no—
1073C2×D8—431no—
1074#131—864no—
1075#131—864no—
1076C2×M16—431no—
1077C2×M16—431no—
1078C2×M16—431no—
1079C2×M16—431no—
1080C2×M16—431no—
1081C2×M16C22×D4311yescharacteristic
1082C22×C8—431no—
1083C22×C8—431no—
1084C22×C8—431no—
1085C22×C8—431no—
1086C22×C8—431no—
1087C22×C8C22×D4311yescharacteristic
1088C4⋊Q8—431no—
1089C4⋊Q8—431no—
1090C4⋊Q8—431no—
1091C4⋊Q8—431no—
1092C4⋊Q8—431no—
1093C4⋊Q8—431no—
1094C4⋊Q8—861no—
1095C4⋊Q8—861no—
1096C4⋊Q8C22×D4311yescharacteristic
1097#127—431no—
1098#127—861no—
1099#127—861no—
1100#126—21no—
1101#126—861no—
1102#126—861no—
1103#126—861no—
1104#126—861no—
1105#126—861no—
1106#126—861no—
1107#126—861no—
1108#125—21no—
1109#125—431no—
1110#125—861no—
1111#125C22×D4311yescharacteristic
1112#124—431no—
1113#124—431no—
1114#124—861no—
1115#124—861no—
1116#124—861no—
1117#124—861no—
1118#124—861no—
1119#124—861no—
1120#124—861no—
1121#124—861no—
1122#124—861no—
1123#124—861no—
1124#124—861no—
1125#124—861no—
1126#123—21no—
1127#123—861no—
1128#123—861no—
1129#123—861no—
1130#123—861no—
1131#123—861no—
1132#123—861no—
1133#123—861no—
1134#123—861no—
1135#123—861no—
1136#123—861no—
1137#123—861no—
1138C22⋊Q8—21no—
1139C22⋊Q8—21no—
1140C22⋊Q8—431no—
1141C22⋊Q8—431no—
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⋊Q8C22×D4311yescharacteristic
1153C22⋊Q8C22×D4311yescharacteristic
1154#121—21no—
1155#121—431no—
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—431no—
1165#121—431no—
1166#121—431no—
1167#121—431no—
1168#121—431no—
1169#121—861no—
1170#121—861no—
1171#121—861no—
1172#121—861no—
1173#121—861no—
1174#121—861no—
1175#121—861no—
1176#121—861no—
1177#121—861no—
1178#121—861no—
1179#121—861no—
1180#121—861no—
1181#121—861no—
1182#121C22×D4311yescharacteristic
1183#121C22×D4311yescharacteristic
1184#120—861no—
1185#120—861no—
1186#120—861no—
1187#120—861no—
1188C4×Q8—431no—
1189C4×Q8—861no—
1190C4×Q8—861no—
1191C4×Q8—861no—
1192C4×Q8—861no—
1193C4×Q8—861no—
1194C4×Q8—861no—
1195C4×Q8—861no—
1196C4×Q8—861no—
1197C4×Q8C22×D4311yescharacteristic
1198C4×D4—21no—
1199C4×D4—21no—
1200C4×D4—431no—
1201C4×D4—431no—
1202C4×D4—431no—
1203C4×D4—431no—
1204C4×D4—431no—
1205C4×D4—431no—
1206C4×D4—431no—
1207C4×D4—431no—
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×D4—861no—
1219C4×D4—861no—
1220C4×D4—861no—
1221C4×D4—861no—
1222C4×D4—861no—
1223C4×D4—861no—
1224C4×D4—861no—
1225C4×D4—861no—
1226C4×D4—861no—
1227C4×D4—861no—
1228C4×D4C22×D4311yescharacteristic
1229C4×D4C22×D4311yescharacteristic
1230#117—431no—
1231#117—431no—
1232#117—431no—
1233#117—431no—
1234#117—431no—
1235#117—431no—
1236#117—431no—
1237#117—431no—
1238#117—431no—
1239#117—431no—
1240#117—861no—
1241#117—861no—
1242#117—861no—
1243#117—861no—
1244#117—861no—
1245#117C22×D4311yescharacteristic
1246C2×C4⋊C4—431no—
1247C2×C4⋊C4—431no—
1248C2×C4⋊C4—431no—
1249C2×C4⋊C4—431no—
1250C2×C4⋊C4—431no—
1251C2×C4⋊C4—431no—
1252C2×C4⋊C4—431no—
1253C2×C4⋊C4—431no—
1254C2×C4⋊C4—861no—
1255C2×C4⋊C4C22×D4311yescharacteristic
1256C2×C4⋊C4C22×D4311yescharacteristic
1257C2×C4⋊C4C22×D4311yescharacteristic
1258C2×C22⋊C4—861no—
1259C2×C42—431no—
1260C2×C42—861no—
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#107—431no—
1274#107—431no—
1275#107—431no—
1276#107—431no—
1277#107C22×D4311yescharacteristic
1278#107C22×D4311yescharacteristic
1279#107C22×D4311yescharacteristic
1280#107C22×D4311yescharacteristic
1281#107C22×D4311yescharacteristic
1282#107C22×D4311yescharacteristic
1283#106—431no—
1284#106—431no—
1285#106—431no—
1286#106—431no—
1287#106—431no—
1288#106—431no—
1289#106—431no—
1290#106—431no—
1291#106—431no—
1292#106—431no—
1293#106—431no—
1294#106C22×D4311yescharacteristic
1295#106C22×D4311yescharacteristic
1296#106C22×D4311yescharacteristic
1297C4⋊C8—431no—
1298C4⋊C8—431no—
1299C4⋊C8—431no—
1300C4⋊C8C22×D4311yescharacteristic
1301#103—431no—
1302#103—431no—
1303#103—431no—
1304#103C22×D4311yescharacteristic
1305#103C22×D4311yescharacteristic
1306#103C22×D4311yescharacteristic
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#102—431no—
1316#102—431no—
1317#102—431no—
1318#102—431no—
1319#102—431no—
1320#102—431no—
1321#102—431no—
1322#102C22×D4311yescharacteristic
1323#102C22×D4311yescharacteristic
1324#102C22×D4311yescharacteristic
1325C22⋊C8—431no—
1326C22⋊C8—431no—
1327C22⋊C8—431no—
1328C22⋊C8—431no—
1329C22⋊C8—431no—
1330C22⋊C8—431no—
1331C22⋊C8C22×D4311yescharacteristic
1332C22⋊C8C22×D4311yescharacteristic
1333#97—431no—
1334#97C22×D4311yescharacteristic
1335C4×C8—431no—
1336C4×C8—431no—
1337C24—861no—
1338#41—862no—
1339#41—862no—
1340#41—862no—
1341#41—862no—
1342#41—862no—
1343#41—862no—
1344#41—3442no—
1345#41—3442no—
1346#41—3442no—
1347#41—3442no—
1348C2×Q8—21no—
1349C2×Q8—431no—
1350C2×Q8—431no—
1351C2×Q8—861no—
1352C2×Q8—861no—
1353C2×Q8—861no—
1354C2×Q8—861no—
1355C2×Q8—861no—
1356C2×Q8—3442no—
1357C2×Q8C23×D4311yescharacteristic
1358C2×D4—21no—
1359C2×D4—21no—
1360C2×D4—431no—
1361C2×D4—431no—
1362C2×D4—431no—
1363C2×D4—431no—
1364C2×D4—431no—
1365C2×D4—431no—
1366C2×D4—431no—
1367C2×D4—431no—
1368C2×D4—431no—
1369C2×D4—431no—
1370C2×D4—431no—
1371C2×D4—861no—
1372C2×D4—861no—
1373C2×D4—861no—
1374C2×D4—861no—
1375C2×D4—861no—
1376C2×D4—862no—
1377C2×D4—862no—
1378C2×D4—861no—
1379C2×D4—861no—
1380C2×D4—861no—
1381C2×D4—861no—
1382C2×D4—861no—
1383C2×D4—861no—
1384C2×D4—861no—
1385C2×D4D4×D4311yescharacteristic
1386C2×D4C23×D4311yescharacteristic
1387C22×C4—21no—
1388C22×C4—21no—
1389C22×C4—21no—
1390C22×C4—21no—
1391C22×C4—431no—
1392C22×C4—431no—
1393C22×C4—431no—
1394C22×C4—431no—
1395C22×C4—431no—
1396C22×C4—861no—
1397C22×C4—861no—
1398C22×C4—861no—
1399C22×C4—861no—
1400C22×C4—861no—
1401C22×C4—861no—
1402C22×C4—861no—
1403C22×C4—861no—
1404C22×C4—861no—
1405C22×C4—861no—
1406C22×C4—861no—
1407C22×C4—861no—
1408C22×C4—861no—
1409C22×C4—861no—
1410C22×C4—3442no—
1411C22×C4C23×D4311yescharacteristic
1412C22×C4C23×D4311yescharacteristic
1413SD16—22no—
1414SD16—862no—
1415D8—862no—
1416D8—862no—
1417M16—22no—
1418M16—434no—
1419M16—862no—
1420M16—862no—
1421M16—862no—
1422M16—862no—
1423C2×C8—22no—
1424C2×C8—431no—
1425C2×C8—431no—
1426C2×C8—431no—
1427C2×C8—431no—
1428C2×C8—862no—
1429C2×C8—862no—
1430C2×C8—862no—
1431C2×C8—862no—
1432C2×C8—862no—
1433C2×C8C23×D4311yescharacteristic
1434C2×C8C23×D4311yescharacteristic
1435C2×C8C23×D4311yescharacteristic
1436C2×C8C23×D4311yescharacteristic
1437C4⋊C4—21no—
1438C4⋊C4—21no—
1439C4⋊C4—21no—
1440C4⋊C4—21no—
1441C4⋊C4—21no—
1442C4⋊C4—21no—
1443C4⋊C4—21no—
1444C4⋊C4—21no—
1445C4⋊C4—21no—
1446C4⋊C4—431no—
1447C4⋊C4—431no—
1448C4⋊C4—431no—
1449C4⋊C4—431no—
1450C4⋊C4—431no—
1451C4⋊C4—431no—
1452C4⋊C4—431no—
1453C4⋊C4—431no—
1454C4⋊C4—431no—
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⋊C4D4×D4311yescharacteristic
1474C4⋊C4C23×D4311yescharacteristic
1475C4⋊C4C23×D4311yescharacteristic
1476C4⋊C4C23×D4311yescharacteristic
1477C4⋊C4C23×D4311yescharacteristic
1478C4⋊C4C23×D4311yescharacteristic
1479C4⋊C4C23×D4311yescharacteristic
1480C22⋊C4—21no—
1481C22⋊C4—21no—
1482C22⋊C4—21no—
1483C22⋊C4—21no—
1484C22⋊C4—21no—
1485C22⋊C4—21no—
1486C22⋊C4—431no—
1487C22⋊C4—431no—
1488C22⋊C4—431no—
1489C22⋊C4—431no—
1490C22⋊C4—431no—
1491C22⋊C4—431no—
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⋊C4—861no—
1510C22⋊C4—861no—
1511C22⋊C4—861no—
1512C22⋊C4—861no—
1513C22⋊C4—861no—
1514C22⋊C4—861no—
1515C22⋊C4—861no—
1516C22⋊C4—861no—
1517C22⋊C4—861no—
1518C22⋊C4—861no—
1519C22⋊C4D4×D4311yescharacteristic
1520C22⋊C4D4×D4311yescharacteristic
1521C42—21no—
1522C42—21no—
1523C42—431no—
1524C42—431no—
1525C42—431no—
1526C42—861no—
1527C42—861no—
1528C42—861no—
1529C42—861no—
1530C42—861no—
1531C42—861no—
1532C42—861no—
1533C42—861no—
1534C42—861no—
1535C42—861no—
1536C42—861no—
1537C42C23×D4311yescharacteristic
1538C23—21no—
1539C23—431no—
1540C23—431no—
1541C23—431no—
1542C23—861no—
1543C23—861no—
1544C23—3441no—
1545C23—3441no—
1546C23—1722no—
1547C23C2×D4×D4311yescharacteristic
1548C23C2×D4×D4311yescharacteristic
1549Q8—21no—
1550Q8—21no—
1551Q8—81no—
1552Q8—862no—
1553Q8—862no—
1554Q8—3441no—
1555Q8—3441no—
1556Q8—1722no—
1557Q8—1722no—
1558Q8—1722no—
1559D4—21no—
1560D4—21no—
1561D4—41no—
1562D4—81no—
1563D4—81no—
1564D4—862no—
1565D4—862no—
1566D4—862no—
1567D4—862no—
1568D4—862no—
1569D4—862no—
1570D4—862no—
1571D4—862no—
1572D4—861no—
1573D4—861no—
1574D4—861no—
1575D4—861no—
1576D4—3441no—
1577D4—3441no—
1578D4—3441no—
1579D4—3441no—
1580D4—3441no—
1581D4—3441no—
1582D4—3441no—
1583D4—3441no—
1584D4—3441no—
1585D4—3441no—
1586D4—1721no—
1587D4—1722no—
1588D4—1722no—
1589C2×C4—21no—
1590C2×C4—21no—
1591C2×C4—21no—
1592C2×C4—21no—
1593C2×C4—21no—
1594C2×C4—21no—
1595C2×C4—21no—
1596C2×C4—21no—
1597C2×C4—21no—
1598C2×C4—21no—
1599C2×C4—21no—
1600C2×C4—81no—
1601C2×C4—81no—
1602C2×C4—81no—
1603C2×C4—81no—
1604C2×C4—431no—
1605C2×C4—431no—
1606C2×C4—432no—
1607C2×C4—432no—
1608C2×C4—431no—
1609C2×C4—431no—
1610C2×C4—431no—
1611C2×C4—862no—
1612C2×C4—861no—
1613C2×C4—861no—
1614C2×C4—861no—
1615C2×C4—861no—
1616C2×C4—861no—
1617C2×C4—861no—
1618C2×C4—861no—
1619C2×C4—861no—
1620C2×C4—861no—
1621C2×C4—861no—
1622C2×C4—3441no—
1623C2×C4—3441no—
1624C2×C4—3441no—
1625C2×C4—3441no—
1626C2×C4—3441no—
1627C2×C4—3441no—
1628C2×C4—3441no—
1629C2×C4—3441no—
1630C2×C4—3441no—
1631C2×C4—1721no—
1632C2×C4—1722no—
1633C2×C4—1722no—
1634C2×C4—1722no—
1635C2×C4—1722no—
1636C2×C4—1722no—
1637C2×C4C2×D4×D4311yescharacteristic
1638C2×C4C2×D4×D4311yescharacteristic
1639C2×C4C2×D4×D4311yescharacteristic
1640C2×C4C2×D4×D4311yescharacteristic
1641C2×C4C24×D4311yescharacteristic
1642C8—21no—
1643C8—21no—
1644C8—21no—
1645C8—432no—
1646C8—861no—
1647C8—861no—
1648C8—861no—
1649C8#41×D4312yes—
1650C22—21no—
1651C22—21no—
1652C22—21no—
1653C22—21no—
1654C22—21no—
1655C22—21no—
1656C22—41no—
1657C22—41no—
1658C22—41no—
1659C22—432no—
1660C22—861no—
1661C22—861no—
1662C22—861no—
1663C22—861no—
1664C22—861no—
1665C22—861no—
1666C22—861no—
1667C22—861no—
1668C22—3444no—
1669C22—1721no—
1670C22—1721no—
1671C22—1721no—
1672C22—1721no—
1673C22—1721no—
1674C22—1721no—
1675C22C22×D4×D4311yescharacteristic
1676C4—21no—
1677C4—21no—
1678C4—21no—
1679C4—21no—
1680C4—41no—
1681C4—41no—
1682C4—41no—
1683C4—41no—
1684C4—41no—
1685C4—41no—
1686C4—41no—
1687C4—432no—
1688C4—432no—
1689C4—861no—
1690C4—861no—
1691C4—861no—
1692C4—1721no—
1693C4—1721no—
1694C4—1721no—
1695C4—1721no—
1696C4—1721no—
1697C4—1721no—
1698C4C2×#41×D4311yescharacteristic
1699C42−1+4×D4311yescharacteristic
1700C2—41no—
1701C2—41no—
1702C2—81no—
1703C2—862no—
1704C2—3441no—
1705C2—3441no—
1706C2—1721no—
1707C2—1721no—
1708C2#547×D4311yescharacteristic
1709C2#576×D4311yescharacteristic
1710C2#1914937811yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3346C2
socleC22×C43C23×D4
hypercenter#3346D43
hypocenterC43#61278
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. #19148503C2semidirect
2. #19148441C2semidirect
3. #19147186C2semidirect
4. #19147183C2semidirect
5. #19147174C2semidirect
6. #19147172C2semidirect
7. #19147102C2semidirect
8. #19147097C2semidirect
9. #19147094C2semidirect
10. #19147089C2semidirect
11. #19147087C2semidirect
12. #19147085C2semidirect
13. #19147074C2semidirect
14. #19147003C2semidirect
15. #19147001C2semidirect
16. #19146940C2semidirect
17. #19146937C2semidirect
18. #19145140C2semidirect
19. #19144576C2semidirect
20. #19144574C2semidirect
21. #19144552C2semidirect
22. #19144546C2semidirect
23. #19144382C2semidirect
24. #474×D43C2semidirect
25. #19144270C2semidirect
26. #19144268C2semidirect
27. #19143400C2semidirect
28. #19143336C2semidirect
29. #19143194C2semidirect
30. #19143191C2semidirect
31. C43×#3346C2semidirect
37. #14583620C22semidirect
38. #14583620C22semidirect
40. #14583615C22semidirect
41. #14583614C22semidirect
44. #14583609C22semidirect
54. #14583550C22semidirect
55. #14583550C22semidirect
78. #14583309C22semidirect
79. #14583308C22semidirect
80. #14583305C22semidirect
81. #14583303C22semidirect
82. #14583303C22semidirect
83. #14583296C22semidirect
84. #14583296C22semidirect
85. #14583239C22semidirect
86. #14583238C22semidirect
87. #14583237C22semidirect
88. #14583233C22semidirect
89. #14583233C22semidirect
90. #14583232C22semidirect
92. #14583226C22semidirect
94. #14583225C22semidirect
97. #14583224C22semidirect
98. #14583223C22semidirect
107. #14583214C22semidirect
108. #14583214C22semidirect
109. #14583213C22semidirect
111. #14583212C22semidirect
113. #14583206C22semidirect
114. #14583200C22semidirect
115. #14583196C22semidirect
116. #14583192C22semidirect
117. #14583188C22semidirect
118. #14583182C22semidirect
123. #14583178C22semidirect
148. #14582975C22semidirect
149. #14582974C22semidirect
150. #14582972C22semidirect
151. #14582971C22semidirect
152. #14582969C22semidirect
153. C8×C22⋊D43C22semidirect
154. (C22⋊D43)⋊C8C22semidirect
155. #14582941C22semidirect
159. #14582940C22semidirect
160. #14582940C22semidirect
161. #14582940C22semidirect
162. #14582939C22semidirect
163. #14582939C22semidirect
166. #14582938C22semidirect
167. #14582937C22semidirect
169. #14582936C22semidirect
170. #14582935C22semidirect
172. #14582934C22semidirect
173. C2×#13063258C22semidirect
176. #107×D43C22semidirect
177. #107×D43C22semidirect
188. C43×#554C22semidirect
190. C43×#501C22semidirect
191. C43×#485C22semidirect
192. C43×#484C22semidirect
195. C43×#479C22semidirect
200. C43×#435C22semidirect
201. C43×#428C22semidirect
202. C2×#107×C43C22semidirect
677. #10621872#41semidirect
858. #3346D43semidirect
900. #554C2×D43semidirect
938. #501C2×D43semidirect
946. #485C2×D43semidirect
950. #484C2×D43semidirect
976. #479C2×D43semidirect
1020. #435C2×D43semidirect
1035. #428C2×D43semidirect
1047. C2×#107C2×D43semidirect
1058. C43#61278semidirect

Maximal subgroups

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

subgroupindex
#191485032
#191484412
#191471862
#191471832
#191471742
#191471722
#191471022
#191470972
#191470942
#191470892
#191470872
#191470852
#191470742
#191470032
#191470012
#191469402
#191469372
#191451402
#191445762
#191445742
#191445522
#191445462
#191443822
#474×D432
#191442702
#191442682
#191434002
#191433362
#191431942
#191431912
C43×#33462
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