Finite Group Databasebeta

← #25990375

Subgroups — #25990375

Order 11008.

1850 conjugacy classes of subgroups.

The subgroup lattice has 1788 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19148964C211yesmaximal, characteristic, complemented
2#19148702C211yesmaximal, characteristic, complemented
3#19147665C211yesmaximal, characteristic, complemented
4#19147632C211yesmaximal, characteristic, complemented
5#19147444C211yesmaximal, characteristic, complemented
6#19147323C211yesmaximal, characteristic, complemented
7#19146748C211yesmaximal, characteristic, complemented
8#19146742C211yesmaximal, characteristic, complemented
9#19146716C211yesmaximal, characteristic, complemented
10#19146566C211yesmaximal, characteristic, complemented
11#19146542C211yesmaximal, characteristic, complemented
12#19146436C211yesmaximal, characteristic, complemented
13#19146352C211yesmaximal, characteristic, complemented
14#19146308C211yesmaximal, characteristic, complemented
15#19146186C211yesmaximal, characteristic, complemented
16#19146147C211yesmaximal, characteristic, complemented
17#19146142C211yesmaximal, characteristic, complemented
18#19146097C211yesmaximal, characteristic, complemented
19#19146013C211yesmaximal, characteristic, complemented
20#19145924C211yesmaximal, characteristic, complemented
21#19145683C211yesmaximal, characteristic, complemented
22#19145642C211yesmaximal, characteristic, complemented
23#19145637C211yesmaximal, characteristic, complemented
24#19144866C211yesmaximal, characteristic, complemented
25#19144829C211yesmaximal, characteristic, complemented
26#19144748C211yesmaximal, characteristic, complemented
27#19144136C211yesmaximal, characteristic, complemented
28#19144114C211yesmaximal, characteristic, complemented
29#19144047C211yesmaximal, characteristic, complemented
30#19143732C211yesmaximal, characteristic, complemented
31C43×#3262C211yesmaximal, characteristic, complemented
32C2×#13063357C2211yescharacteristic, complemented
33C2×#13063353C2211yescharacteristic
34C2×#13063347C2211yescharacteristic, complemented
35C2×#13063346C2211yescharacteristic, complemented
36C2×#13063344C2211yescharacteristic, complemented
37C2×SD16×D43C2211yescharacteristic
38#14583640—21no—
39#14583639—21no—
40#14583631—21no—
41#14583631C2211yescharacteristic, complemented
42#14583624C2211yescharacteristic, complemented
43#14583621C2211yescharacteristic
44#14583615C2211yescharacteristic, complemented
45#14583611—21no—
46#14583601C2211yescharacteristic
47#14583600—21no—
48#14583600—21no—
49#14583591C2211yescharacteristic, complemented
50#14583585—21no—
51#14583571C2211yescharacteristic
52#14583570C2211yescharacteristic
53#14583567C2211yescharacteristic
54#14583567C2211yescharacteristic, complemented
55#14583559C2211yescharacteristic
56#14583557C2211yescharacteristic, complemented
57#14583551C2211yescharacteristic
58#14583544C2211yescharacteristic
59#14583541—21no—
60#14583540C2211yescharacteristic
61#14583533C2211yescharacteristic
62#14583523C2211yescharacteristic
63#14583519—21no—
64#14583501—21no—
65#14583500C2211yescharacteristic, complemented
66#14583489—21no—
67#14583483—21no—
68#14583479—21no—
69#14583468C2211yescharacteristic
70#14583467—21no—
71#14583467C2211yescharacteristic
72#14583450C2211yescharacteristic
73#14583448C2211yescharacteristic
74#14583436C2211yescharacteristic, complemented
75#14583435—21no—
76#14583427C2211yescharacteristic
77#14583426—21no—
78#14583379C2211yescharacteristic, complemented
79#14583375C2211yescharacteristic, complemented
80C4×#10621900C2211yescharacteristic, complemented
81#14583292C2211yescharacteristic, complemented
82#14583289C2211yescharacteristic, complemented
83#14583285C2211yescharacteristic
84#14583285C2211yescharacteristic
85#14583281C2211yescharacteristic
86#14583274C2211yescharacteristic, complemented
87#14583266C2211yescharacteristic, complemented
88#14583262C2211yescharacteristic
89#14583262C2211yescharacteristic, complemented
90#14583261C2211yescharacteristic
91#14583255C2211yescharacteristic
92#14583247C2211yescharacteristic, complemented
93#14583242C2211yescharacteristic, complemented
94#14583227C2211yescharacteristic, complemented
95#14583226C2211yescharacteristic
96#14583226C2211yescharacteristic
97#14583226C2211yescharacteristic, complemented
98#14583215C2211yescharacteristic
99#14583205C2211yescharacteristic, complemented
100#14583202C2211yescharacteristic
101#14583202C2211yescharacteristic, complemented
102#14583202C2211yescharacteristic, complemented
103#14583186C2211yescharacteristic, complemented
104#14583181C2211yescharacteristic, complemented
105#14583151C2211yescharacteristic
106#14583146C2211yescharacteristic, complemented
107#14583136C2211yescharacteristic
108#14583136C2211yescharacteristic
109#14583136C2211yescharacteristic, complemented
110#14583131C2211yescharacteristic
111#14583131C2211yescharacteristic, complemented
112#14583127C2211yescharacteristic, complemented
113#14583124C2211yescharacteristic
114#14583123C2211yescharacteristic
115#14583122C2211yescharacteristic
116#14583122C2211yescharacteristic, complemented
117#14583121C2211yescharacteristic, complemented
118#14583118C2211yescharacteristic, complemented
119#14583117C2211yescharacteristic
120#14583117C2211yescharacteristic, complemented
121#14583115C2211yescharacteristic
122#14583115C2211yescharacteristic, complemented
123#14583114C2211yescharacteristic, complemented
124#14583111C2211yescharacteristic, complemented
125#14583108C2211yescharacteristic, complemented
126#14583102C2211yescharacteristic, complemented
127#14583100C2211yescharacteristic
128#14583100C2211yescharacteristic, complemented
129#14583099C2211yescharacteristic
130#14583098C2211yescharacteristic
131#14583098C2211yescharacteristic, complemented
132#14583098C2211yescharacteristic, complemented
133#14583097C2211yescharacteristic, complemented
134#14583095C2211yescharacteristic
135#14583095C2211yescharacteristic, complemented
136#14583094C2211yescharacteristic
137#14583093C2211yescharacteristic, complemented
138#14583092C2211yescharacteristic
139#14583060C2211yescharacteristic, complemented
140#14583059C2211yescharacteristic, complemented
141#14583059C2211yescharacteristic, complemented
142#14583058C2211yescharacteristic, complemented
143#14583056C2211yescharacteristic, complemented
144#14583049C2211yescharacteristic
145#14583047C2211yescharacteristic, complemented
146#14583047C2211yescharacteristic, complemented
147#14583045C2211yescharacteristic
148#14583045C2211yescharacteristic, complemented
149#14583045C2211yescharacteristic, complemented
150#14583043C2211yescharacteristic, complemented
151#14583042C2211yescharacteristic
152#14583042C2211yescharacteristic, complemented
153#14583039C2211yescharacteristic
154#14583034C2211yescharacteristic
155#14583032C2211yescharacteristic
156#14583031C2211yescharacteristic
157#14583028C2211yescharacteristic, complemented
158#14583026C2211yescharacteristic, complemented
159#14583009C2211yescharacteristic, complemented
160#14583008C2211yescharacteristic
161#14583008C2211yescharacteristic, complemented
162#14583004C2211yescharacteristic, complemented
163#14583003C2211yescharacteristic, complemented
164#14582998C2211yescharacteristic
165#14582998C2211yescharacteristic, complemented
166#14582998C2211yescharacteristic, complemented
167#14582993C2211yescharacteristic, complemented
168C4×#10621884C2211yescharacteristic, complemented
169C4×#10621883C2211yescharacteristic, complemented
170#14582984C2211yescharacteristic, complemented
171#14582970C2211yescharacteristic
172#14582969C2211yescharacteristic, complemented
173#14582968C2211yescharacteristic
174#14582968C2211yescharacteristic, complemented
175#14582964C2211yescharacteristic, complemented
176C8×C22⋊D43C2211yescharacteristic, complemented
177#14582960C2211yescharacteristic, complemented
178#14582959C2211yescharacteristic, complemented
179#14582955C2211yescharacteristic, complemented
180#14582924C2211yescharacteristic, complemented
181C4⋊C8×D43C2211yescharacteristic, complemented
182#14582902C2211yescharacteristic
183#14582901C2211yescharacteristic, complemented
184#14582894C2211yescharacteristic, complemented
185#14582894C2211yescharacteristic, complemented
186#14582892C2211yescharacteristic, complemented
187C2×#13063247C2211yescharacteristic
188C43×#542C2211yescharacteristic
189C43×#542C2211yescharacteristic, complemented
190C43×#477C2211yescharacteristic, complemented
191C43×#477C2211yescharacteristic, complemented
192C43×#474C2211yescharacteristic, complemented
193C43×#474C2211yescharacteristic, complemented
194C43×#468C2211yescharacteristic
195C43×#468C2211yescharacteristic, complemented
196C43×#467C2211yescharacteristic, complemented
197C43×#466C2211yescharacteristic
198C43×#464C2211yescharacteristic, complemented
199C43×#464C2211yescharacteristic, complemented
200C43×#463C2211yescharacteristic, complemented
201C43×#463C2211yescharacteristic, complemented
202C43×#424C2211yescharacteristic, complemented
203C2×#10621902—21no—
204C2×#10621902C2311yescharacteristic
205C2×#10621902C2311yescharacteristic
206C2×#10621898—21no—
207C2×#10621898C2311yescharacteristic
208C2×#10621898C2311yescharacteristic
209C2×#10621900C2311yescharacteristic
210C2×#10621900C2311yescharacteristic
211C2×Q8×D43C2311yescharacteristic
212C22×D172C2311yescharacteristic
213C2×D4×D43—21no—
214C2×D4×D43C2311yescharacteristic
215#13063357—42no—
216#13063353—42no—
217#13063347—42no—
218#13063346—42no—
219#13063344—42no—
220C2×Dic172C2311yescharacteristic
221C2×#10621885C2311yescharacteristic
222C2×#10621885C2311yescharacteristic
223C2×#10621873C2311yescharacteristic
224C2×#10621873C2311yescharacteristic
225C2×#10621873C2311yescharacteristic
226C2×#10621873C2311yescharacteristic
227C2×#10621883C2311yescharacteristic
228C2×#10621883C2311yescharacteristic
229C2×#10621884C2311yescharacteristic
230C2×#10621884C2311yescharacteristic
231C2×#10621884C2311yescharacteristic
232C2×#10621884C2311yescharacteristic
233SD16×D43—42no—
234C2×D344C2311yescharacteristic
235C2×D344C2311yescharacteristic
236C2×D344C2311yescharacteristic
237C2×#10621882C2311yescharacteristic
238C2×#10621882C2311yescharacteristic
239C2×#10621882C2311yescharacteristic
240C2×#10621882C2311yescharacteristic
241C2×#10621872C2311yescharacteristic
242C2×C8×D43C2311yescharacteristic
243C2×C8×D43C2311yescharacteristic
244C2×C8×D43C2311yescharacteristic
245#13063323—21no—
246#13063323C2311yescharacteristic
247#13063322—21no—
248#13063322C2311yescharacteristic
249#13063322C2311yescharacteristic
250#13063321—21no—
251#13063321—21no—
252#13063321C2311yescharacteristic
253#13063321C2311yescharacteristic
254#13063321C2311yescharacteristic
255#13063320—21no—
256#13063320—21no—
257#13063320—21no—
258#13063320—21no—
259#13063320D411yescharacteristic
260#13063319—21no—
261#13063318—21no—
262#13063318D411yescharacteristic
263#13063316—21no—
264#13063316C2311yescharacteristic
265#13063316C2311yescharacteristic
266#13063315—21no—
267#13063315—21no—
268#13063315D411yescharacteristic
269#13063314—21no—
270#13063314—21no—
271#13063314—21no—
272#13063314—21no—
273#13063314C2311yescharacteristic
274#13063314C2311yescharacteristic
275#13063313C2311yescharacteristic
276#13063313C2311yescharacteristic
277#13063311—21no—
278#13063311—21no—
279#13063311—21no—
280#13063311D411yescharacteristic
281#13063310—21no—
282#13063310—21no—
283#13063310—21no—
284#13063310—21no—
285#13063310D411yescharacteristic
286#13063309—21no—
287#13063309—21no—
288#13063309—21no—
289#13063309—21no—
290#13063308—21no—
291#13063307—21no—
292#13063307—21no—
293#13063307—21no—
294#13063307D411yescharacteristic
295#13063305C2311yescharacteristic
296#13063303—21no—
297#13063303—21no—
298#13063303D411yescharacteristic
299#13063302—21no—
300#13063301—21no—
301#13063301C2311yescharacteristic
302#13063300—21no—
303#13063300—21no—
304#13063300—21no—
305#13063300—21no—
306#13063300—21no—
307#13063300—21no—
308#13063300—21no—
309#13063300C2311yescharacteristic
310#13063300C2311yescharacteristic
311#13063300C2311yescharacteristic
312#13063300C2311yescharacteristic
313#13063300C2311yescharacteristic
314#13063299—21no—
315#13063299—21no—
316#13063299—21no—
317#13063298—21no—
318#13063298—21no—
319#13063298—21no—
320#13063298—21no—
321#13063298—21no—
322#13063298—21no—
323#13063298—21no—
324#13063298—21no—
325#13063298—21no—
326#13063298—21no—
327#13063298—21no—
328#13063298—21no—
329#13063298—21no—
330#13063298D411yescharacteristic
331#13063297—21no—
332#13063297—21no—
333#13063297—21no—
334#13063296C2311yescharacteristic
335#13063295—21no—
336#13063295—21no—
337#13063295—21no—
338#13063295—21no—
339#13063295—21no—
340#13063295—21no—
341#13063295—21no—
342#13063293—21no—
343Q8×Dic43—21no—
344Q8×Dic43C2311yescharacteristic
345C4×Dic86—21no—
346C4×Dic86C2311yescharacteristic
347C4×Dic86C2311yescharacteristic
348C4×Dic86C2311yescharacteristic
349#13063290—21no—
350#13063290C2311yescharacteristic
351#13063290C2311yescharacteristic
352#13063290C2311yescharacteristic
353C4×D172—21no—
354C4×D172—21no—
355C4×D172C2311yescharacteristic
356C4×D172C2311yescharacteristic
357C4×D172C2311yescharacteristic
358D4×Dic43—21no—
359D4×Dic43C2311yescharacteristic
360#13063287—21no—
361#13063287—21no—
362#13063287C2311yescharacteristic
363#13063287C2311yescharacteristic
364#13063287C2311yescharacteristic
365C4×C22⋊D43—21no—
366C4×C22⋊D43C2311yescharacteristic
367C4×C22⋊D43C2311yescharacteristic
368(C22⋊D43)⋊C4—21no—
369(C22⋊D43)⋊C4—21no—
370(C22⋊D43)⋊C4—21no—
371(C22⋊D43)⋊C4—21no—
372(C22⋊D43)⋊C4—21no—
373(C22⋊D43)⋊C4—21no—
374(C22⋊D43)⋊C4—21no—
375(C22⋊D43)⋊C4—21no—
376(C22⋊D43)⋊C4—21no—
377#13063283—21no—
378#13063283—21no—
379#13063283—21no—
380#13063283C2311yescharacteristic
381#13063283C2311yescharacteristic
382#13063282—21no—
383#13063282—21no—
384#13063282—21no—
385#13063282C2311yescharacteristic
386#13063281—21no—
387#13063281—21no—
388C2×C4⋊Dic43C2311yescharacteristic
389C4⋊C4×D43—21no—
390C4⋊C4×D43—21no—
391C2×(C2×D43)⋊C4—21no—
392C22⋊C4×D43—21no—
393C2×C4×Dic43—21no—
394C42×D43C2311yescharacteristic
395#13063256C2311yescharacteristic
396#13063256C2311yescharacteristic
397#13063256C2311yescharacteristic
398#13063256C2311yescharacteristic
399C4⋊(C43⋊C8)C2311yescharacteristic
400C4⋊(C43⋊C8)C2311yescharacteristic
401Dic43⋊C8C2311yescharacteristic
402Dic43⋊C8C2311yescharacteristic
403Dic43⋊C8C2311yescharacteristic
404Dic43⋊C8C2311yescharacteristic
405#13063250C2311yescharacteristic
406#13063250C2311yescharacteristic
407#13063249C2311yescharacteristic
408#13063249C2311yescharacteristic
409#13063248C2311yescharacteristic
410#13063248C2311yescharacteristic
411#13063248C2311yescharacteristic
412#13063248C2311yescharacteristic
413#13063247C2311yescharacteristic
414#13063247C2311yescharacteristic
415#13063247C2311yescharacteristic
416#13063247C2311yescharacteristic
417#13063247C2311yescharacteristic
418#13063247C2311yescharacteristic
419#13063246C2311yescharacteristic
420#13063246C2311yescharacteristic
421#13063245C2311yescharacteristic
422#13063245C2311yescharacteristic
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
436#13063235C2311yescharacteristic
437#13063235C2311yescharacteristic
438#13063235C2311yescharacteristic
439C4×C43⋊C8C2311yescharacteristic
440C8×Dic43C2311yescharacteristic
441C2×Q16×C43C2311yescharacteristic
442C2×SD16×C43C2311yescharacteristic
443C2×SD16×C43C2311yescharacteristic
444C2×D8×C43C2311yescharacteristic
445C2×M16×C43C2311yescharacteristic
446C22×C8×C43C2311yescharacteristic
447C4⋊Q8×C43C2311yescharacteristic
448C4⋊Q8×C43C2311yescharacteristic
449#126×C43—21no—
450#126×C43—21no—
451#124×C43—21no—
452#124×C43—21no—
453#124×C43C2311yescharacteristic
454#124×C43C2311yescharacteristic
455#123×C43—21no—
456#123×C43—21no—
457C22⋊Q8×C43—21no—
458C22⋊Q8×C43—21no—
459C22⋊Q8×C43C2311yescharacteristic
460C22⋊Q8×C43C2311yescharacteristic
461#121×C43C2311yescharacteristic
462#121×C43C2311yescharacteristic
463C4×Q8×C43C2311yescharacteristic
464C4×Q8×C43C2311yescharacteristic
465C4×D4×C43C2311yescharacteristic
466C4×D4×C43C2311yescharacteristic
467#117×C43C2311yescharacteristic
468#107×C43C2311yescharacteristic
469#107×C43C2311yescharacteristic
470#107×C43C2311yescharacteristic
471#107×C43C2311yescharacteristic
472C4⋊C8×C43C2311yescharacteristic
473C4⋊C8×C43C2311yescharacteristic
474C4⋊C8×C43C2311yescharacteristic
475C4⋊C8×C43C2311yescharacteristic
476#103×C43C2311yescharacteristic
477#103×C43C2311yescharacteristic
478#103×C43C2311yescharacteristic
479#103×C43C2311yescharacteristic
480#102×C43C2311yescharacteristic
481#102×C43C2311yescharacteristic
482#102×C43C2311yescharacteristic
483#102×C43C2311yescharacteristic
484C23×D43—21no—
485C23×D43—21no—
486C2×Q8×C43—21no—
487C2×Q8×C43—21no—
488C2×Q8×C43C2411yescharacteristic
489C2×Q8×C43C2411yescharacteristic
490C2×D4×C43—21no—
491C2×D4×C43—21no—
492C2×D4×C43C2411yescharacteristic
493C2×D4×C43C2411yescharacteristic
494C22×C4×C43—21no—
495C22×C4×C43—21no—
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⋊D43—21no—
503C2×C22⋊D43—21no—
504C2×C22⋊D43—21no—
505C2×C22⋊D43—21no—
506C2×C22⋊D43—21no—
507C2×C22⋊D43—21no—
508C2×C22⋊D43—21no—
509C2×C22⋊D43C2×D411yescharacteristic
510C2×C22⋊D43C2×D411yescharacteristic
511C22×Dic43—21no—
512C22×Dic43—21no—
513C22×Dic43—21no—
514C22×Dic43—21no—
515#10621902—41no—
516#10621902—41no—
517#10621902—41no—
518#10621902—41no—
519#10621902—82no—
520Q8×D43—22no—
521Q8×D43—41no—
522#10621900—22no—
523#10621900—41no—
524#10621900—41no—
525#10621900—41no—
526D4×D43—41no—
527D4×D43—41no—
528D4×D43—82no—
529#10621898—22no—
530#10621898—41no—
531#10621898—41no—
532#10621898—41no—
533#10621898—82no—
534C2×D172—21no—
535C2×D172—21no—
536C2×D172—21no—
537C2×D172—21no—
538C2×D172—21no—
539C2×D172—21no—
540C2×D172—21no—
541C2×D172—21no—
542C2×D172—21no—
543C2×D172—21no—
544C2×D172—21no—
545C2×D172—21no—
546C2×D172—41no—
547C2×D172—41no—
548C2×D172C2×D411yescharacteristic
549C2×D172C2411yescharacteristic
550C2×D172C2411yescharacteristic
551C2×D172C2411yescharacteristic
552C2×D172C2411yescharacteristic
553C2×C4×D43—21no—
554C2×C4×D43—21no—
555C2×C4×D43—21no—
556C2×C4×D43—21no—
557C2×C4×D43—21no—
558C2×C4×D43—21no—
559C2×C4×D43—21no—
560C2×C4×D43—21no—
561C2×C4×D43—21no—
562C2×C4×D43—21no—
563C2×C4×D43C2×D411yescharacteristic
564C2×C4×D43C2×D411yescharacteristic
565C2×C4×D43C2411yescharacteristic
566C2×C4×D43C2411yescharacteristic
567C2×Dic86—21no—
568C2×Dic86C2×D411yescharacteristic
569C2×Dic86C2411yescharacteristic
570C2×Dic86C2411yescharacteristic
571Q16×C43—41no—
572SD16×C43—41no—
573SD16×C43—41no—
574D8×C43—41no—
575M16×C43—41no—
576C2×C8×C43—41no—
577C2×C8×C43C2411yescharacteristic
578C2×C8×C43C2411yescharacteristic
579C2×C8×C43C2411yescharacteristic
580C2×C8×C43C2411yescharacteristic
581C4⋊C4×C43—21no—
582C4⋊C4×C43—21no—
583C4⋊C4×C43—21no—
584C4⋊C4×C43—21no—
585C4⋊C4×C43—21no—
586C4⋊C4×C43—21no—
587C4⋊C4×C43C2×D411yescharacteristic
588C4⋊C4×C43C2×D411yescharacteristic
589C4⋊C4×C43C2411yescharacteristic
590C4⋊C4×C43C2411yescharacteristic
591C4⋊C4×C43C2411yescharacteristic
592C4⋊C4×C43C2411yescharacteristic
593C22⋊C4×C43—21no—
594C22⋊C4×C43—21no—
595C22⋊C4×C43—21no—
596C22⋊C4×C43—21no—
597C22⋊C4×C43—21no—
598C22⋊C4×C43—21no—
599C22⋊C4×C43—21no—
600C22⋊C4×C43—21no—
601C22⋊C4×C43—21no—
602C22⋊C4×C43—21no—
603C22⋊C4×C43C2×D411yescharacteristic
604C22⋊C4×C43C2×D411yescharacteristic
605C42×C43—21no—
606C42×C43—21no—
607C42×C43C2411yescharacteristic
608C42×C43C2411yescharacteristic
609C22⋊Dic43—21no—
610C22⋊Dic43—21no—
611C22⋊Dic43C2×D411yescharacteristic
612C22⋊Dic43C2×D411yescharacteristic
613#10621885—22no—
614#10621885—41no—
615#10621884—41no—
616#10621884—41no—
617#10621884—41no—
618#10621884—41no—
619#10621883—22no—
620#10621883—41no—
621#10621882—41no—
622#10621882—41no—
623#10621882—41no—
624#10621882—41no—
625(C2×D43)⋊C4—21no—
626(C2×D43)⋊C4—21no—
627(C2×D43)⋊C4—21no—
628(C2×D43)⋊C4—21no—
629(C2×D43)⋊C4—21no—
630(C2×D43)⋊C4—21no—
631(C2×D43)⋊C4—21no—
632(C2×D43)⋊C4—21no—
633(C2×D43)⋊C4—21no—
634(C2×D43)⋊C4—21no—
635(C2×D43)⋊C4—21no—
636(C2×D43)⋊C4—21no—
637(C2×D43)⋊C4—21no—
638(C2×D43)⋊C4—21no—
639(C2×D43)⋊C4—21no—
640(C2×D43)⋊C4—21no—
641(C2×D43)⋊C4—21no—
642(C2×D43)⋊C4—21no—
643(C2×D43)⋊C4—21no—
644(C2×D43)⋊C4—21no—
645(C2×D43)⋊C4—21no—
646(C2×D43)⋊C4—21no—
647(C2×D43)⋊C4C2×D411yescharacteristic
648(C2×D43)⋊C4C2×D411yescharacteristic
649(C2×D43)⋊C4C2×D411yescharacteristic
650(C2×D43)⋊C4C2×D411yescharacteristic
651(C2×D43)⋊C4C2×D411yescharacteristic
652(C2×D43)⋊C4C2×D411yescharacteristic
653C4⋊Dic43—21no—
654C4⋊Dic43—21no—
655C4⋊Dic43—21no—
656C4⋊Dic43—21no—
657C4⋊Dic43—21no—
658C4⋊Dic43C2×D411yescharacteristic
659C4⋊Dic43C2×D411yescharacteristic
660C4⋊Dic43C2411yescharacteristic
661C4⋊Dic43C2411yescharacteristic
662Dic43⋊C4—21no—
663Dic43⋊C4—21no—
664Dic43⋊C4—21no—
665Dic43⋊C4—21no—
666Dic43⋊C4—21no—
667Dic43⋊C4—21no—
668Dic43⋊C4—21no—
669Dic43⋊C4—21no—
670Dic43⋊C4—21no—
671Dic43⋊C4—21no—
672Dic43⋊C4C2×D411yescharacteristic
673Dic43⋊C4C2×D411yescharacteristic
674Dic43⋊C4C2×D411yescharacteristic
675Dic43⋊C4C2×D411yescharacteristic
676Dic43⋊C4C2×D411yescharacteristic
677Dic43⋊C4C2×D411yescharacteristic
678C4×Dic43—21no—
679C4×Dic43—21no—
680C4×Dic43—21no—
681C4×Dic43—21no—
682C4×Dic43—21no—
683C4×Dic43—21no—
684C4×Dic43—21no—
685C4×Dic43—21no—
686C4×Dic43C2×D411yescharacteristic
687C4×Dic43C2×D411yescharacteristic
688C4×Dic43C2411yescharacteristic
689C4×Dic43C2411yescharacteristic
690C2×C43⋊C8C2411yescharacteristic
691C2×C43⋊C8C2411yescharacteristic
692C2×C43⋊C8C2411yescharacteristic
693C2×C43⋊C8C2411yescharacteristic
694Dic172—22no—
695D344—41no—
696D344—41no—
697D344—41no—
698#10621873—22no—
699#10621873—22no—
700#10621873—22no—
701#10621873—41no—
702#10621872—41no—
703C8×D43—41no—
704C8×D43—41no—
705C8×D43—41no—
706C23×C43—21no—
707C23×C43—21no—
708C23×C43C22×D411yescharacteristic
709C22×D43—21no—
710C22×D43—21no—
711C22×D43—21no—
712C22×D43—21no—
713C22×D43—81no—
714C22×D43—81no—
715C22×D43—81no—
716C22×D43—81no—
717C22×D43—81no—
718C22×D43—81no—
719C22×D43C22×D411yescharacteristic
720C22×D43C22×D411yescharacteristic
721Q8×C43—21no—
722Q8×C43—21no—
723Q8×C43—21no—
724Q8×C43—21no—
725Q8×C43—81no—
726Q8×C43—81no—
727D4×C43—21no—
728D4×C43—21no—
729D4×C43—21no—
730D4×C43—21no—
731D4×C43—81no—
732D4×C43—81no—
733C2×C4×C43—21no—
734C2×C4×C43—21no—
735C2×C4×C43—21no—
736C2×C4×C43—21no—
737C2×C4×C43—21no—
738C2×C4×C43—21no—
739C2×C4×C43—21no—
740C2×C4×C43—21no—
741C2×C4×C43—81no—
742C2×C4×C43—81no—
743C2×C4×C43C22×D411yescharacteristic
744C2×C4×C43C22×D411yescharacteristic
745C2×C4×C43C22×D411yescharacteristic
746C2×C4×C43C22×D411yescharacteristic
747C2×C4×C43C22×D411yescharacteristic
748C2×C4×C43C2511yescharacteristic
749C22⋊D43—41no—
750C22⋊D43—41no—
751C22⋊D43—42no—
752C22⋊D43—42no—
753C22⋊D43—42no—
754C22⋊D43—81no—
755C22⋊D43—81no—
756C22⋊D43—81no—
757C22⋊D43—81no—
758C22⋊D43—81no—
759C22⋊D43—81no—
760C22⋊D43—81no—
761C22⋊D43—81no—
762C22⋊D43—81no—
763C2×Dic43—21no—
764C2×Dic43—21no—
765C2×Dic43—21no—
766C2×Dic43—21no—
767C2×Dic43—42no—
768C2×Dic43—81no—
769C2×Dic43—81no—
770C2×Dic43—81no—
771C2×Dic43C22×D411yescharacteristic
772C2×Dic43C22×D411yescharacteristic
773C2×Dic43C22×D411yescharacteristic
774C2×Dic43C22×D411yescharacteristic
775C2×Dic43C22×D411yescharacteristic
776C2×Dic43C22×D411yescharacteristic
777D172—21no—
778D172—21no—
779D172—21no—
780D172—21no—
781D172—21no—
782D172—21no—
783D172—21no—
784D172—21no—
785D172—41no—
786D172—81no—
787D172—81no—
788D172—81no—
789D172—81no—
790D172—81no—
791D172—81no—
792D172—81no—
793D172—81no—
794D172—81no—
795D172—81no—
796D172—81no—
797D172—81no—
798C4×D43—21no—
799C4×D43—21no—
800C4×D43—21no—
801C4×D43—21no—
802C4×D43—41no—
803C4×D43—41no—
804C4×D43—42no—
805C4×D43—42no—
806C4×D43—42no—
807C4×D43—42no—
808C4×D43—81no—
809C4×D43—81no—
810C4×D43—81no—
811C4×D43—81no—
812C4×D43—81no—
813C4×D43—81no—
814Dic86—21no—
815Dic86—21no—
816Dic86—21no—
817Dic86—41no—
818Dic86—42no—
819Dic86H(5,𝔽2)12yes—
820C8×C43—21no—
821C8×C43—21no—
822C8×C43—21no—
823C8×C43—21no—
824C43⋊C8—21no—
825C43⋊C8—21no—
826C43⋊C8—21no—
827C43⋊C8—21no—
828#62026—431nomaximal, Sylow
829C22×C43—21no—
830C22×C43—21no—
831C22×C43—21no—
832C22×C43—41no—
833C22×C43—41no—
834C22×C43—41no—
835C22×C43—41no—
836C22×C43—41no—
837C22×C43—41no—
838C22×C43C23×D411yescharacteristic
839C2×D43—21no—
840C2×D43—21no—
841C2×D43—21no—
842C2×D43—21no—
843C2×D43—21no—
844C2×D43—21no—
845C2×D43—41no—
846C2×D43—41no—
847C2×D43—41no—
848C2×D43—41no—
849C2×D43—41no—
850C2×D43—41no—
851C2×D43—41no—
852C2×D43—41no—
853C2×D43—41no—
854C2×D43—41no—
855C2×D43—41no—
856C2×D43—41no—
857C2×D43—162no—
858C2×D43—162no—
859C4×C43—21no—
860C4×C43—21no—
861C4×C43—21no—
862C4×C43—21no—
863C4×C43—21no—
864C4×C43—41no—
865C4×C43—41no—
866C4×C43—41no—
867C4×C43—41no—
868C4×C43—41no—
869C4×C43—41no—
870C4×C43C2×H(5,𝔽2)11yescharacteristic
871C4×C43#58511yescharacteristic
872Dic43—21no—
873Dic43—21no—
874Dic43—21no—
875Dic43—21no—
876Dic43—22no—
877Dic43—21no—
878Dic43—21no—
879Dic43—41no—
880Dic43—41no—
881Dic43—41no—
882#3546—431no—
883#3524—431no—
884#3401—431no—
885#3399—431no—
886#3377—431no—
887#3368—431no—
888#3319—431no—
889#3318—431no—
890#3317—431no—
891#3307—431no—
892#3305—431no—
893#3296—431no—
894#3287—431no—
895#3282—431no—
896#3271—431no—
897#3269—431no—
898#3268—431no—
899#3265—431no—
900#3262D4311yescharacteristic, complemented
901#3257—431no—
902#3247—431no—
903#3224—431no—
904#3220—431no—
905#3219—431no—
906#3125—431no—
907#3121—431no—
908#3115—431no—
909#3045—431no—
910#3043—431no—
911#3035—431no—
912#2992—431no—
913C2×C43—41no—
914C2×C43—81no—
915C2×C43—81no—
916C2×C43#348811yescharacteristic
917C2×C43#358411yescharacteristic
918C2×C43#358511yescharacteristic
919D43—41no—
920D43—41no—
921D43—81no—
922D43—81no—
923D43—81no—
924D43—81no—
925C2×#137—431no—
926C2×AGL(1,ℤ/8)—431no—
927C2×#135—431no—
928C2×#135—431no—
929C2×#135—431no—
930C22×SD16—431no—
931#560—861no—
932#560—861no—
933#559—431no—
934#559—861no—
935#557—431no—
936#556—431no—
937#555—431no—
938#555—861no—
939#553—431no—
940#553—861no—
941#553—861no—
942#552—431no—
943#552—861no—
944#550—431no—
945#550—431no—
946#550—431no—
947#550—431no—
948#548—431no—
949#548—431no—
950#547—431no—
951#546—431no—
952#546—431no—
953#546—861no—
954D42—431no—
955#542—431no—
956#542—861no—
957#542C2×D4311yescharacteristic
958#542C2×D4311yescharacteristic, complemented
959#540—431no—
960#540—861no—
961#538—861no—
962#538—861no—
963#537—861no—
964#535—431no—
965#535—431no—
966#535—861no—
967#532—431no—
968#532—431no—
969#529—431no—
970#529—431no—
971#529—861no—
972#529—861no—
973#520—431no—
974#519—431no—
975C4×#41—431no—
976#497—431no—
977#496—431no—
978#496—431no—
979#496—431no—
980#495—431no—
981#493—431no—
982#491—431no—
983#490—431no—
984#490—431no—
985#489—431no—
986#488—431no—
987#486—431no—
988#485—431no—
989#483—431no—
990#482—431no—
991#482—431no—
992#482—431no—
993#481—431no—
994#479—431no—
995#478—431no—
996#478—431no—
997#478—431no—
998#477C2×D4311yescharacteristic, complemented
999#477C2×D4311yescharacteristic, complemented
1000#476—431no—
1001#475—431no—
1002#474C2×D4311yescharacteristic, complemented
1003#474C2×D4311yescharacteristic, complemented
1004#469—431no—
1005#468—431no—
1006#468C2×D4311yescharacteristic
1007#468C2×D4311yescharacteristic, complemented
1008#467C2×D4311yescharacteristic, complemented
1009#466—431no—
1010#466—431no—
1011#466—431no—
1012#466C2×D4311yescharacteristic
1013#465—431no—
1014#465—431no—
1015#465—431no—
1016#464—431no—
1017#464—431no—
1018#464—431no—
1019#464—431no—
1020#464—431no—
1021#464—431no—
1022#464C2×D4311yescharacteristic, complemented
1023#464C2×D4311yescharacteristic, complemented
1024#463—431no—
1025#463—431no—
1026#463—431no—
1027#463—431no—
1028#463—431no—
1029#463—431no—
1030#463C2×D4311yescharacteristic, complemented
1031#463C2×D4311yescharacteristic, complemented
1032#462—431no—
1033#461—431no—
1034#460—431no—
1035#460—431no—
1036#460—431no—
1037#460—431no—
1038#460—431no—
1039#460—431no—
1040#460—431no—
1041#459—431no—
1042#459—431no—
1043#459—431no—
1044#459—431no—
1045#459—431no—
1046#452—431no—
1047#452—431no—
1048#452—431no—
1049#452—431no—
1050#451—431no—
1051#450—431no—
1052#449—431no—
1053#449—431no—
1054#449—431no—
1055#449—431no—
1056#449—431no—
1057#449—431no—
1058#449—431no—
1059#449—431no—
1060#448—431no—
1061#447—431no—
1062#447—431no—
1063#447—431no—
1064#446—431no—
1065#446—431no—
1066#442—431no—
1067#442—431no—
1068#442—431no—
1069#441—431no—
1070#441—431no—
1071#440—431no—
1072#440—431no—
1073#440—431no—
1074C4×Q16—431no—
1075C4×SD16—431no—
1076C4×SD16—431no—
1077C4×SD16—431no—
1078#435—431no—
1079#435—431no—
1080#435—431no—
1081#435—431no—
1082C8×D4—431no—
1083C8×D4—431no—
1084#433—431no—
1085#433—431no—
1086#432—431no—
1087#424—431no—
1088#424C2×D4311yescharacteristic, complemented
1089C2×C4⋊C8—431no—
1090#418—431no—
1091#417—431no—
1092#416—431no—
1093#416—431no—
1094#416—431no—
1095C2×#102—431no—
1096C43#6202611yescharacteristic, complemented, Sylow
1097C2×#41—431no—
1098C2×#41—431no—
1099C2×#41—431no—
1100C2×#41—431no—
1101C2×#41—431no—
1102C2×#41—431no—
1103C2×#41—861no—
1104C2×#41—861no—
1105C22×Q8—431no—
1106C22×D4—431no—
1107C22×D4—431no—
1108C22×D4—861no—
1109#137—1722no—
1110AGL(1,ℤ/8)—1722no—
1111#135—1722no—
1112#135—1722no—
1113#135—1722no—
1114C2×Q16—431no—
1115C2×Q16—431no—
1116C2×Q16—431no—
1117C2×Q16C22×D4311yescharacteristic
1118C2×SD16—431no—
1119C2×SD16—431no—
1120C2×SD16—431no—
1121C2×SD16—431no—
1122C2×SD16—431no—
1123C2×SD16—431no—
1124C2×SD16—431no—
1125C2×SD16—431no—
1126C2×SD16—431no—
1127C2×SD16—431no—
1128C2×SD16—1722no—
1129C2×SD16C22×D4311yescharacteristic
1130C2×SD16C22×D4311yescharacteristic
1131C2×D8—431no—
1132C2×D8—431no—
1133C2×D8—431no—
1134C2×D8—431no—
1135C2×D8—431no—
1136C2×D8—431no—
1137C2×D8—431no—
1138C2×D8C22×D4311yescharacteristic
1139C2×M16—431no—
1140C2×M16C22×D4311yescharacteristic
1141C22×C8—431no—
1142C22×C8—431no—
1143C22×C8—431no—
1144C22×C8C22×D4311yescharacteristic
1145C4⋊Q8—431no—
1146C4⋊Q8—861no—
1147C4⋊Q8C22×D4311yescharacteristic
1148C4⋊Q8C22×D4311yescharacteristic
1149#127—431no—
1150#127—431no—
1151#127—431no—
1152#127—431no—
1153#127—431no—
1154#127—861no—
1155#127—861no—
1156#127—861no—
1157#126—21no—
1158#126—21no—
1159#126—431no—
1160#126—431no—
1161#126—861no—
1162#126—861no—
1163#126—861no—
1164#126—861no—
1165#126—861no—
1166#126—861no—
1167#125—431no—
1168#125—431no—
1169#125—431no—
1170#125—861no—
1171#125—861no—
1172#125—861no—
1173#124—21no—
1174#124—21no—
1175#124—431no—
1176#124—431no—
1177#124—431no—
1178#124—431no—
1179#124—431no—
1180#124—861no—
1181#124—861no—
1182#124—861no—
1183#124—861no—
1184#124—861no—
1185#124—861no—
1186#124—861no—
1187#124C22×D4311yescharacteristic
1188#124C22×D4311yescharacteristic
1189#123—21no—
1190#123—21no—
1191#123—431no—
1192#123—431no—
1193#123—861no—
1194#123—861no—
1195#123—861no—
1196#123—861no—
1197#123—861no—
1198#123—861no—
1199#123—861no—
1200#123—861no—
1201#123—861no—
1202#123—861no—
1203#123—861no—
1204#123—861no—
1205C22⋊Q8—21no—
1206C22⋊Q8—21no—
1207C22⋊Q8—431no—
1208C22⋊Q8—431no—
1209C22⋊Q8—431no—
1210C22⋊Q8—861no—
1211C22⋊Q8—861no—
1212C22⋊Q8—861no—
1213C22⋊Q8—861no—
1214C22⋊Q8C22×D4311yescharacteristic
1215C22⋊Q8C22×D4311yescharacteristic
1216#121—431no—
1217#121—431no—
1218#121—431no—
1219#121—431no—
1220#121—431no—
1221#121—431no—
1222#121—431no—
1223#121—861no—
1224#121—861no—
1225#121—861no—
1226#121—861no—
1227#121—861no—
1228#121—861no—
1229#121—861no—
1230#121—861no—
1231#121—861no—
1232#121—861no—
1233#121—861no—
1234#121—861no—
1235#121—861no—
1236#121—861no—
1237#121—861no—
1238#121—861no—
1239#121—861no—
1240#121—861no—
1241#121—861no—
1242#121—861no—
1243#121—861no—
1244#121—861no—
1245#121—861no—
1246#121—861no—
1247#121—861no—
1248#121—861no—
1249#121C22×D4311yescharacteristic
1250#121C22×D4311yescharacteristic
1251#120—861no—
1252#120—861no—
1253#120—861no—
1254#120—861no—
1255#120—861no—
1256#120—861no—
1257#120—861no—
1258#120—861no—
1259C4×Q8—431no—
1260C4×Q8—431no—
1261C4×Q8—431no—
1262C4×Q8—431no—
1263C4×Q8—431no—
1264C4×Q8—431no—
1265C4×Q8—431no—
1266C4×Q8—861no—
1267C4×Q8—861no—
1268C4×Q8—861no—
1269C4×Q8C22×D4311yescharacteristic
1270C4×Q8C22×D4311yescharacteristic
1271C4×D4—431no—
1272C4×D4—431no—
1273C4×D4—431no—
1274C4×D4—431no—
1275C4×D4—431no—
1276C4×D4—431no—
1277C4×D4—431no—
1278C4×D4—431no—
1279C4×D4—431no—
1280C4×D4—861no—
1281C4×D4—861no—
1282C4×D4—861no—
1283C4×D4—861no—
1284C4×D4—861no—
1285C4×D4—861no—
1286C4×D4—861no—
1287C4×D4—861no—
1288C4×D4—861no—
1289C4×D4—861no—
1290C4×D4—861no—
1291C4×D4—861no—
1292C4×D4—861no—
1293C4×D4—861no—
1294C4×D4—861no—
1295C4×D4C22×D4311yescharacteristic
1296C4×D4C22×D4311yescharacteristic
1297#117—431no—
1298#117—431no—
1299#117—431no—
1300#117—861no—
1301#117—861no—
1302#117—861no—
1303#117—861no—
1304#117—861no—
1305#117—861no—
1306#117—861no—
1307#117—861no—
1308#117C22×D4311yescharacteristic
1309C2×C4⋊C4—431no—
1310C2×C4⋊C4—861no—
1311C2×C4⋊C4—861no—
1312C2×C22⋊C4—861no—
1313C2×C22⋊C4—861no—
1314C2×C42—431no—
1315C2×C42—861no—
1316#107C22×D4311yescharacteristic
1317#107C22×D4311yescharacteristic
1318#107C22×D4311yescharacteristic
1319#107C22×D4311yescharacteristic
1320#106—431no—
1321#106—431no—
1322#106—431no—
1323#106—431no—
1324C4⋊C8—431no—
1325C4⋊C8—431no—
1326C4⋊C8—431no—
1327C4⋊C8—431no—
1328C4⋊C8—431no—
1329C4⋊C8—431no—
1330C4⋊C8C22×D4311yescharacteristic
1331C4⋊C8C22×D4311yescharacteristic
1332C4⋊C8C22×D4311yescharacteristic
1333C4⋊C8C22×D4311yescharacteristic
1334#103—431no—
1335#103—431no—
1336#103—431no—
1337#103—431no—
1338#103—431no—
1339#103—431no—
1340#103—431no—
1341#103—431no—
1342#103C22×D4311yescharacteristic
1343#103C22×D4311yescharacteristic
1344#103C22×D4311yescharacteristic
1345#103C22×D4311yescharacteristic
1346#102—431no—
1347#102—431no—
1348#102—431no—
1349#102—431no—
1350#102—431no—
1351#102—431no—
1352#102—431no—
1353#102—431no—
1354#102—431no—
1355#102—431no—
1356#102—431no—
1357#102—431no—
1358#102—431no—
1359#102—431no—
1360#102—431no—
1361#102—431no—
1362#102C22×D4311yescharacteristic
1363#102C22×D4311yescharacteristic
1364#102C22×D4311yescharacteristic
1365#102C22×D4311yescharacteristic
1366C22⋊C8—431no—
1367C22⋊C8—431no—
1368C22⋊C8—431no—
1369C22⋊C8—431no—
1370C22⋊C8—431no—
1371C22⋊C8—431no—
1372#97—431no—
1373#97—431no—
1374#97—431no—
1375#97—431no—
1376C4×C8—431no—
1377C4×C8—431no—
1378C24—861no—
1379C24—861no—
1380#41—862no—
1381#41—862no—
1382#41—3442no—
1383#41—3442no—
1384#41—1721no—
1385#41—1721no—
1386#41—1721no—
1387#41—1721no—
1388#41—1721no—
1389#41—1721no—
1390#41—1721no—
1391#41—1721no—
1392#41—1721no—
1393#41—1721no—
1394C2×Q8—21no—
1395C2×Q8—21no—
1396C2×Q8—431no—
1397C2×Q8—431no—
1398C2×Q8—431no—
1399C2×Q8—861no—
1400C2×Q8—862no—
1401C2×Q8—1721no—
1402C2×Q8C23×D4311yescharacteristic
1403C2×Q8C23×D4311yescharacteristic
1404C2×D4—21no—
1405C2×D4—21no—
1406C2×D4—431no—
1407C2×D4—431no—
1408C2×D4—431no—
1409C2×D4—431no—
1410C2×D4—431no—
1411C2×D4—431no—
1412C2×D4—431no—
1413C2×D4—861no—
1414C2×D4—861no—
1415C2×D4—861no—
1416C2×D4—861no—
1417C2×D4—861no—
1418C2×D4—861no—
1419C2×D4—861no—
1420C2×D4—861no—
1421C2×D4—861no—
1422C2×D4—861no—
1423C2×D4—861no—
1424C2×D4—861no—
1425C2×D4—861no—
1426C2×D4—861no—
1427C2×D4—861no—
1428C2×D4—861no—
1429C2×D4—861no—
1430C2×D4—861no—
1431C2×D4—861no—
1432C2×D4—861no—
1433C2×D4—861no—
1434C2×D4—861no—
1435C2×D4—861no—
1436C2×D4—861no—
1437C2×D4—3442no—
1438C2×D4—1721no—
1439C2×D4—1721no—
1440C2×D4—1721no—
1441C2×D4—1721no—
1442C2×D4C23×D4311yescharacteristic
1443C2×D4C23×D4311yescharacteristic
1444C22×C4—21no—
1445C22×C4—21no—
1446C22×C4—431no—
1447C22×C4—431no—
1448C22×C4—431no—
1449C22×C4—431no—
1450C22×C4—861no—
1451C22×C4—861no—
1452C22×C4—861no—
1453C22×C4—861no—
1454C22×C4—861no—
1455C22×C4—861no—
1456C22×C4—861no—
1457C22×C4—861no—
1458C22×C4—861no—
1459C22×C4—861no—
1460C22×C4—861no—
1461C22×C4—861no—
1462C22×C4—861no—
1463C22×C4—861no—
1464C22×C4C23×D4311yescharacteristic
1465Q16—41no—
1466Q16—862no—
1467Q16—862no—
1468Q16—1721no—
1469SD16—41no—
1470SD16—41no—
1471SD16—862no—
1472SD16—862no—
1473SD16—862no—
1474SD16—862no—
1475SD16—1721no—
1476SD16—1721no—
1477SD16—1721no—
1478SD16—1721no—
1479SD16—1721no—
1480SD16—1721no—
1481D8—41no—
1482D8—1721no—
1483D8—1721no—
1484D8—1721no—
1485D8—1721no—
1486D8—1721no—
1487D8—1721no—
1488D8—1721no—
1489M16—41no—
1490M16—1721no—
1491C2×C8—41no—
1492C2×C8—431no—
1493C2×C8—431no—
1494C2×C8—431no—
1495C2×C8—431no—
1496C2×C8—1721no—
1497C2×C8—1721no—
1498C2×C8—1721no—
1499C2×C8C23×D4311yescharacteristic
1500C2×C8C23×D4311yescharacteristic
1501C2×C8C23×D4311yescharacteristic
1502C2×C8C23×D4311yescharacteristic
1503C4⋊C4—21no—
1504C4⋊C4—21no—
1505C4⋊C4—21no—
1506C4⋊C4—21no—
1507C4⋊C4—21no—
1508C4⋊C4—21no—
1509C4⋊C4—431no—
1510C4⋊C4—431no—
1511C4⋊C4—431no—
1512C4⋊C4—431no—
1513C4⋊C4—431no—
1514C4⋊C4—431no—
1515C4⋊C4—431no—
1516C4⋊C4—431no—
1517C4⋊C4—431no—
1518C4⋊C4—431no—
1519C4⋊C4—861no—
1520C4⋊C4—861no—
1521C4⋊C4—861no—
1522C4⋊C4—861no—
1523C4⋊C4—861no—
1524C4⋊C4—861no—
1525C4⋊C4—861no—
1526C4⋊C4—861no—
1527C4⋊C4—861no—
1528C4⋊C4—861no—
1529C4⋊C4—861no—
1530C4⋊C4—861no—
1531C4⋊C4—861no—
1532C4⋊C4—861no—
1533C4⋊C4—861no—
1534C4⋊C4D4×D4311yescharacteristic
1535C4⋊C4D4×D4311yescharacteristic
1536C4⋊C4C23×D4311yescharacteristic
1537C4⋊C4C23×D4311yescharacteristic
1538C4⋊C4C23×D4311yescharacteristic
1539C4⋊C4C23×D4311yescharacteristic
1540C22⋊C4—21no—
1541C22⋊C4—21no—
1542C22⋊C4—21no—
1543C22⋊C4—21no—
1544C22⋊C4—21no—
1545C22⋊C4—21no—
1546C22⋊C4—21no—
1547C22⋊C4—21no—
1548C22⋊C4—21no—
1549C22⋊C4—21no—
1550C22⋊C4—431no—
1551C22⋊C4—431no—
1552C22⋊C4—431no—
1553C22⋊C4—431no—
1554C22⋊C4—431no—
1555C22⋊C4—431no—
1556C22⋊C4—431no—
1557C22⋊C4—431no—
1558C22⋊C4—861no—
1559C22⋊C4—861no—
1560C22⋊C4—861no—
1561C22⋊C4—861no—
1562C22⋊C4—861no—
1563C22⋊C4—861no—
1564C22⋊C4—861no—
1565C22⋊C4—861no—
1566C22⋊C4—861no—
1567C22⋊C4—861no—
1568C22⋊C4—861no—
1569C22⋊C4—861no—
1570C22⋊C4—861no—
1571C22⋊C4—861no—
1572C22⋊C4—861no—
1573C22⋊C4—861no—
1574C22⋊C4—861no—
1575C22⋊C4—861no—
1576C22⋊C4—861no—
1577C22⋊C4—861no—
1578C22⋊C4—861no—
1579C22⋊C4—861no—
1580C22⋊C4—861no—
1581C22⋊C4—861no—
1582C22⋊C4D4×D4311yescharacteristic
1583C22⋊C4D4×D4311yescharacteristic
1584C42—21no—
1585C42—21no—
1586C42—431no—
1587C42—431no—
1588C42—431no—
1589C42—431no—
1590C42—861no—
1591C42—861no—
1592C42—861no—
1593C42—861no—
1594C42—861no—
1595C42—861no—
1596C42—861no—
1597C42—861no—
1598C42C23×D4311yescharacteristic
1599C42C23×D4311yescharacteristic
1600C23—21no—
1601C23—21no—
1602C23—431no—
1603C23—431no—
1604C23—861no—
1605C23—861no—
1606C23—861no—
1607C23—861no—
1608C23—3441no—
1609C23—3441no—
1610C23—3441no—
1611C23—3441no—
1612C23—3441no—
1613C23—3441no—
1614C23C2×D4×D4311yescharacteristic
1615Q8—21no—
1616Q8—21no—
1617Q8—21no—
1618Q8—21no—
1619Q8—81no—
1620Q8—81no—
1621Q8—432no—
1622Q8—861no—
1623Q8—861no—
1624Q8—861no—
1625Q8—1721no—
1626Q8—1722no—
1627D4—21no—
1628D4—21no—
1629D4—21no—
1630D4—21no—
1631D4—81no—
1632D4—81no—
1633D4—861no—
1634D4—861no—
1635D4—861no—
1636D4—861no—
1637D4—861no—
1638D4—861no—
1639D4—861no—
1640D4—861no—
1641D4—3441no—
1642D4—3441no—
1643D4—3441no—
1644D4—3441no—
1645D4—3441no—
1646D4—3441no—
1647D4—3441no—
1648D4—3441no—
1649D4—3441no—
1650D4—3441no—
1651D4—3441no—
1652D4—3441no—
1653D4—3441no—
1654D4—3441no—
1655D4—3441no—
1656D4—3441no—
1657D4—3441no—
1658D4—3441no—
1659D4—3441no—
1660D4—3441no—
1661D4—3441no—
1662D4—1721no—
1663D4—1721no—
1664D4—1721no—
1665D4—1722no—
1666D4—1722no—
1667D4—1722no—
1668C2×C4—21no—
1669C2×C4—21no—
1670C2×C4—21no—
1671C2×C4—21no—
1672C2×C4—21no—
1673C2×C4—21no—
1674C2×C4—21no—
1675C2×C4—21no—
1676C2×C4—81no—
1677C2×C4—81no—
1678C2×C4—431no—
1679C2×C4—431no—
1680C2×C4—431no—
1681C2×C4—431no—
1682C2×C4—431no—
1683C2×C4—431no—
1684C2×C4—861no—
1685C2×C4—861no—
1686C2×C4—861no—
1687C2×C4—861no—
1688C2×C4—861no—
1689C2×C4—861no—
1690C2×C4—861no—
1691C2×C4—861no—
1692C2×C4—3441no—
1693C2×C4—3441no—
1694C2×C4—3441no—
1695C2×C4—3441no—
1696C2×C4—3441no—
1697C2×C4—3441no—
1698C2×C4—3441no—
1699C2×C4—3441no—
1700C2×C4—3441no—
1701C2×C4—1721no—
1702C2×C4—1721no—
1703C2×C4—1722no—
1704C2×C4—1722no—
1705C2×C4—1722no—
1706C2×C4—1722no—
1707C2×C4—1722no—
1708C2×C4C2×D4×D4311yescharacteristic
1709C2×C4C2×D4×D4311yescharacteristic
1710C2×C4C2×D4×D4311yescharacteristic
1711C2×C4C2×D4×D4311yescharacteristic
1712C2×C4C2×D4×D4311yescharacteristic
1713C2×C4C24×D4311yescharacteristic
1714C8—21no—
1715C8—21no—
1716C8—21no—
1717C8—21no—
1718C8—861no—
1719C8—861no—
1720C8—861no—
1721C8—861no—
1722C22—21no—
1723C22—21no—
1724C22—21no—
1725C22—41no—
1726C22—41no—
1727C22—41no—
1728C22—41no—
1729C22—41no—
1730C22—41no—
1731C22—861no—
1732C22—861no—
1733C22—861no—
1734C22—861no—
1735C22—861no—
1736C22—861no—
1737C22—1721no—
1738C22—1721no—
1739C22—1721no—
1740C22—1721no—
1741C22—1721no—
1742C22—1721no—
1743C22—1721no—
1744C22—1721no—
1745C22—1721no—
1746C22—1721no—
1747C22—1721no—
1748C22—1721no—
1749C22—6882no—
1750C22—6882no—
1751C22C22×D4×D4311yescharacteristic
1752C4—21no—
1753C4—21no—
1754C4—21no—
1755C4—21no—
1756C4—21no—
1757C4—41no—
1758C4—41no—
1759C4—41no—
1760C4—41no—
1761C4—41no—
1762C4—41no—
1763C4—861no—
1764C4—861no—
1765C4—861no—
1766C4—861no—
1767C4—861no—
1768C4—861no—
1769C4—862no—
1770C4—1721no—
1771C4—1721no—
1772C4—1721no—
1773C4H(5,𝔽2)×D4311yescharacteristic
1774C4#1458373611yescharacteristic
1775C2—41no—
1776C2—81no—
1777C2—81no—
1778C2—3441no—
1779C2—3441no—
1780C2—3441no—
1781C2—3441no—
1782C2—1721no—
1783C2—1721no—
1784C2#1914825911yescharacteristic
1785C2#1914936511yescharacteristic
1786C2#1914937011yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3262C2
socleC22×C43C23×D4
hypercenter#3262D43
hypocenterC43#62026
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ #117 ◁ #3262

Complements

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

NH ≅ G/Ntype
1. #19148964C2semidirect
2. #19148702C2semidirect
3. #19147665C2semidirect
4. #19147632C2semidirect
5. #19147444C2semidirect
6. #19147323C2semidirect
7. #19146748C2semidirect
8. #19146742C2semidirect
9. #19146716C2semidirect
10. #19146566C2semidirect
11. #19146542C2semidirect
12. #19146436C2semidirect
13. #19146352C2semidirect
14. #19146308C2semidirect
15. #19146186C2semidirect
16. #19146147C2semidirect
17. #19146142C2semidirect
18. #19146097C2semidirect
19. #19146013C2semidirect
20. #19145924C2semidirect
21. #19145683C2semidirect
22. #19145642C2semidirect
23. #19145637C2semidirect
24. #19144866C2semidirect
25. #19144829C2semidirect
26. #19144748C2semidirect
27. #19144136C2semidirect
28. #19144114C2semidirect
29. #19144047C2semidirect
30. #19143732C2semidirect
31. C43×#3262C2semidirect
32. C2×#13063357C22semidirect
34. C2×#13063347C22semidirect
35. C2×#13063346C22semidirect
36. C2×#13063344C22semidirect
41. #14583631C22semidirect
42. #14583624C22semidirect
44. #14583615C22semidirect
49. #14583591C22semidirect
54. #14583567C22semidirect
56. #14583557C22semidirect
65. #14583500C22semidirect
74. #14583436C22semidirect
78. #14583379C22semidirect
79. #14583375C22semidirect
80. C4×#10621900C22semidirect
81. #14583292C22semidirect
82. #14583289C22semidirect
86. #14583274C22semidirect
87. #14583266C22semidirect
89. #14583262C22semidirect
92. #14583247C22semidirect
93. #14583242C22semidirect
94. #14583227C22semidirect
97. #14583226C22semidirect
99. #14583205C22semidirect
101. #14583202C22semidirect
102. #14583202C22semidirect
103. #14583186C22semidirect
104. #14583181C22semidirect
106. #14583146C22semidirect
109. #14583136C22semidirect
111. #14583131C22semidirect
112. #14583127C22semidirect
116. #14583122C22semidirect
117. #14583121C22semidirect
118. #14583118C22semidirect
120. #14583117C22semidirect
122. #14583115C22semidirect
123. #14583114C22semidirect
124. #14583111C22semidirect
125. #14583108C22semidirect
126. #14583102C22semidirect
128. #14583100C22semidirect
131. #14583098C22semidirect
132. #14583098C22semidirect
133. #14583097C22semidirect
135. #14583095C22semidirect
137. #14583093C22semidirect
139. #14583060C22semidirect
140. #14583059C22semidirect
141. #14583059C22semidirect
142. #14583058C22semidirect
143. #14583056C22semidirect
145. #14583047C22semidirect
146. #14583047C22semidirect
148. #14583045C22semidirect
149. #14583045C22semidirect
150. #14583043C22semidirect
152. #14583042C22semidirect
157. #14583028C22semidirect
158. #14583026C22semidirect
159. #14583009C22semidirect
161. #14583008C22semidirect
162. #14583004C22semidirect
163. #14583003C22semidirect
165. #14582998C22semidirect
166. #14582998C22semidirect
167. #14582993C22semidirect
168. C4×#10621884C22semidirect
169. C4×#10621883C22semidirect
170. #14582984C22semidirect
172. #14582969C22semidirect
174. #14582968C22semidirect
175. #14582964C22semidirect
176. C8×C22⋊D43C22semidirect
177. #14582960C22semidirect
178. #14582959C22semidirect
179. #14582955C22semidirect
180. #14582924C22semidirect
181. C4⋊C8×D43C22semidirect
183. #14582901C22semidirect
184. #14582894C22semidirect
185. #14582894C22semidirect
186. #14582892C22semidirect
189. C43×#542C22semidirect
190. C43×#477C22semidirect
191. C43×#477C22semidirect
192. C43×#474C22semidirect
193. C43×#474C22semidirect
195. C43×#468C22semidirect
196. C43×#467C22semidirect
198. C43×#464C22semidirect
199. C43×#464C22semidirect
200. C43×#463C22semidirect
201. C43×#463C22semidirect
202. C43×#424C22semidirect
900. #3262D43semidirect
958. #542C2×D43semidirect
998. #477C2×D43semidirect
999. #477C2×D43semidirect
1002. #474C2×D43semidirect
1003. #474C2×D43semidirect
1007. #468C2×D43semidirect
1008. #467C2×D43semidirect
1022. #464C2×D43semidirect
1023. #464C2×D43semidirect
1030. #463C2×D43semidirect
1031. #463C2×D43semidirect
1088. #424C2×D43semidirect
1096. C43#62026semidirect

Maximal subgroups

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

subgroupindex
#191489642
#191487022
#191476652
#191476322
#191474442
#191473232
#191467482
#191467422
#191467162
#191465662
#191465422
#191464362
#191463522
#191463082
#191461862
#191461472
#191461422
#191460972
#191460132
#191459242
#191456832
#191456422
#191456372
#191448662
#191448292
#191447482
#191441362
#191441142
#191440472
#191437322
C43×#32622
#6202643