Finite Group Databasebeta

← #25990373

Subgroups — #25990373

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#19148967C211yesmaximal, characteristic, complemented
2#19148694C211yesmaximal, characteristic, complemented
3#19147658C211yesmaximal, characteristic, complemented
4#19147632C211yesmaximal, characteristic, complemented
5#19147440C211yesmaximal, characteristic, complemented
6#19147327C211yesmaximal, characteristic, complemented
7#19146757C211yesmaximal, characteristic, complemented
8#19146733C211yesmaximal, characteristic, complemented
9#19146727C211yesmaximal, characteristic, complemented
10#19146568C211yesmaximal, characteristic, complemented
11#19146540C211yesmaximal, characteristic, complemented
12#19146425C211yesmaximal, characteristic, complemented
13#19146352C211yesmaximal, characteristic, complemented
14#19146309C211yesmaximal, characteristic, complemented
15#19146177C211yesmaximal, characteristic, complemented
16#19146156C211yesmaximal, characteristic, complemented
17#19146132C211yesmaximal, characteristic, complemented
18#19146096C211yesmaximal, characteristic, complemented
19#19146058C211yesmaximal, characteristic, complemented
20#19146005C211yesmaximal, characteristic, complemented
21#19145694C211yesmaximal, characteristic, complemented
22#19145644C211yesmaximal, characteristic, complemented
23#19145628C211yesmaximal, characteristic, complemented
24#19144877C211yesmaximal, characteristic, complemented
25#19144829C211yesmaximal, characteristic, complemented
26#19144740C211yesmaximal, characteristic, complemented
27#19144129C211yesmaximal, characteristic, complemented
28#19144111C211yesmaximal, characteristic, complemented
29#19144052C211yesmaximal, characteristic, complemented
30#19143731C211yesmaximal, characteristic, complemented
31C43×#3247C211yesmaximal, characteristic, complemented
32C2×#13063354C2211yescharacteristic, complemented
33C2×#13063349C2211yescharacteristic
34C2×#13063347C2211yescharacteristic, complemented
35C2×#13063347C2211yescharacteristic, complemented
36C2×#13063344C2211yescharacteristic, complemented
37C2×SD16×D43C2211yescharacteristic
38#14583637—21no—
39#14583637—21no—
40#14583632—21no—
41#14583631C2211yescharacteristic, complemented
42#14583626C2211yescharacteristic, complemented
43#14583619C2211yescharacteristic
44#14583613C2211yescharacteristic, complemented
45#14583612—21no—
46#14583602C2211yescharacteristic
47#14583598—21no—
48#14583595—21no—
49#14583583C2211yescharacteristic, complemented
50#14583582—21no—
51#14583570C2211yescharacteristic
52#14583567C2211yescharacteristic
53#14583567C2211yescharacteristic
54#14583567C2211yescharacteristic, complemented
55#14583559C2211yescharacteristic, complemented
56#14583557C2211yescharacteristic
57#14583553C2211yescharacteristic
58#14583546C2211yescharacteristic
59#14583546C2211yescharacteristic
60#14583545—21no—
61D4×D172C2211yescharacteristic
62#14583523C2211yescharacteristic
63#14583523C2211yescharacteristic
64#14583521C2211yescharacteristic, complemented
65#14583517—21no—
66#14583501—21no—
67#14583500C2211yescharacteristic, complemented
68#14583483—21no—
69#14583483—21no—
70#14583477—21no—
71#14583463—21no—
72#14583462C2211yescharacteristic
73#14583462C2211yescharacteristic
74#14583449C2211yescharacteristic
75#14583433C2211yescharacteristic
76#14583432—21no—
77#14583432—21no—
78#14583378C2211yescharacteristic, complemented
79#14583375C2211yescharacteristic, complemented
80C4×#10621898C2211yescharacteristic, complemented
81#14583294C2211yescharacteristic, complemented
82#14583289C2211yescharacteristic
83#14583287C2211yescharacteristic
84#14583285C2211yescharacteristic, complemented
85#14583280C2211yescharacteristic
86#14583274C2211yescharacteristic, complemented
87#14583269C2211yescharacteristic, complemented
88#14583265C2211yescharacteristic
89#14583262C2211yescharacteristic, complemented
90#14583257C2211yescharacteristic
91#14583252C2211yescharacteristic
92#14583244C2211yescharacteristic, complemented
93#14583242C2211yescharacteristic, complemented
94#14583231C2211yescharacteristic, complemented
95#14583226C2211yescharacteristic
96#14583220C2211yescharacteristic
97#14583220C2211yescharacteristic, complemented
98#14583219C2211yescharacteristic
99#14583209C2211yescharacteristic, complemented
100#14583198C2211yescharacteristic, complemented
101#14583193C2211yescharacteristic, complemented
102#14583181C2211yescharacteristic, complemented
103#14583178C2211yescharacteristic, complemented
104#14583176C2211yescharacteristic, complemented
105#14583153C2211yescharacteristic
106#14583148C2211yescharacteristic
107#14583146C2211yescharacteristic, complemented
108#14583144C2211yescharacteristic, complemented
109#14583139C2211yescharacteristic, complemented
110#14583136C2211yescharacteristic
111#14583134C2211yescharacteristic
112#14583129C2211yescharacteristic, complemented
113#14583124C2211yescharacteristic, complemented
114#14583122C2211yescharacteristic, complemented
115#14583122C2211yescharacteristic, complemented
116#14583121C2211yescharacteristic, complemented
117#14583121C2211yescharacteristic, complemented
118#14583120C2211yescharacteristic
119#14583120C2211yescharacteristic
120#14583119C2211yescharacteristic
121#14583117C2211yescharacteristic, complemented
122#14583115C2211yescharacteristic, complemented
123#14583115C2211yescharacteristic, complemented
124#14583114C2211yescharacteristic, complemented
125#14583114C2211yescharacteristic, complemented
126#14583112C2211yescharacteristic
127#14583110C2211yescharacteristic, complemented
128#14583105C2211yescharacteristic, complemented
129#14583100C2211yescharacteristic
130#14583098C2211yescharacteristic, complemented
131#14583098C2211yescharacteristic, complemented
132#14583098C2211yescharacteristic, complemented
133#14583097C2211yescharacteristic, complemented
134#14583096C2211yescharacteristic
135#14583095C2211yescharacteristic
136#14583093C2211yescharacteristic, complemented
137#14583092C2211yescharacteristic, complemented
138#14583091C2211yescharacteristic
139#14583062C2211yescharacteristic, complemented
140#14583059C2211yescharacteristic, complemented
141#14583059C2211yescharacteristic, complemented
142#14583058C2211yescharacteristic, complemented
143#14583056C2211yescharacteristic, complemented
144#14583048C2211yescharacteristic
145#14583045C2211yescharacteristic
146#14583045C2211yescharacteristic, complemented
147#14583045C2211yescharacteristic, complemented
148#14583042C2211yescharacteristic
149#14583042C2211yescharacteristic, complemented
150#14583042C2211yescharacteristic, complemented
151#14583042C2211yescharacteristic, complemented
152#14583041C2211yescharacteristic, complemented
153#14583039C2211yescharacteristic
154#14583034C2211yescharacteristic
155#14583034C2211yescharacteristic
156#14583031C2211yescharacteristic
157#14583028C2211yescharacteristic, complemented
158#14583028C2211yescharacteristic, complemented
159#14583009C2211yescharacteristic
160#14583009C2211yescharacteristic, complemented
161#14583008C2211yescharacteristic, complemented
162#14583005C2211yescharacteristic, complemented
163#14583003C2211yescharacteristic, complemented
164#14582999C2211yescharacteristic
165#14582999C2211yescharacteristic, complemented
166#14582998C2211yescharacteristic, complemented
167#14582993C2211yescharacteristic, complemented
168#14582990C2211yescharacteristic, complemented
169#14582986C2211yescharacteristic, complemented
170#14582984C2211yescharacteristic, complemented
171#14582970C2211yescharacteristic, complemented
172#14582970C2211yescharacteristic, complemented
173#14582969C2211yescharacteristic
174#14582969C2211yescharacteristic
175C8×C22⋊D43C2211yescharacteristic, complemented
176C8×C22⋊D43C2211yescharacteristic, complemented
177#14582959C2211yescharacteristic, complemented
178#14582959C2211yescharacteristic, complemented
179#14582956C2211yescharacteristic, complemented
180#14582924C2211yescharacteristic, complemented
181#14582924C2211yescharacteristic, complemented
182#14582902C2211yescharacteristic
183#14582897C2211yescharacteristic, complemented
184#14582896C2211yescharacteristic, complemented
185#14582896C2211yescharacteristic, complemented
186#14582892C2211yescharacteristic, complemented
187#102×D43C2211yescharacteristic
188C43×#532C2211yescharacteristic
189C43×#529C2211yescharacteristic, complemented
190C43×#478C2211yescharacteristic
191C43×#478C2211yescharacteristic, complemented
192C43×#477C2211yescharacteristic, complemented
193C43×#476C2211yescharacteristic, complemented
194C43×#466C2211yescharacteristic
195C43×#466C2211yescharacteristic, complemented
196C43×#465C2211yescharacteristic
197C43×#465C2211yescharacteristic, complemented
198C43×#463C2211yescharacteristic
199C43×#463C2211yescharacteristic, complemented
200C43×#460C2211yescharacteristic
201C43×#459C2211yescharacteristic
202C2×C4⋊C8×C43C2211yescharacteristic, complemented
203C2×#10621898—21no—
204C2×#10621898C2311yescharacteristic
205C2×#10621898C2311yescharacteristic
206C2×#10621898C2311yescharacteristic
207C2×#10621900C2311yescharacteristic
208C2×#10621900C2311yescharacteristic
209C2×#10621900C2311yescharacteristic
210C2×Q8×D43C2311yescharacteristic
211C22×D172—21no—
212C2×D4×D43C2311yescharacteristic
213C2×D4×D43C2311yescharacteristic
214#13063354—42no—
215#13063349—42no—
216#13063347—42no—
217#13063347—42no—
218#13063344—42no—
219C2×Dic172C2311yescharacteristic
220C2×Dic172C2311yescharacteristic
221C2×#10621885C2311yescharacteristic
222C2×#10621885C2311yescharacteristic
223C2×#10621873C2311yescharacteristic
224C2×#10621873C2311yescharacteristic
225C2×#10621873C2311yescharacteristic
226C2×#10621873C2311yescharacteristic
227C2×#10621883C2311yescharacteristic
228C2×#10621883C2311yescharacteristic
229C2×#10621883C2311yescharacteristic
230C2×#10621883C2311yescharacteristic
231C2×#10621884C2311yescharacteristic
232C2×#10621884C2311yescharacteristic
233SD16×D43—42no—
234C2×D344C2311yescharacteristic
235C2×D344C2311yescharacteristic
236C2×#10621882C2311yescharacteristic
237C2×#10621882C2311yescharacteristic
238C2×#10621882C2311yescharacteristic
239C2×#10621882C2311yescharacteristic
240C2×#10621872C2311yescharacteristic
241C2×#10621872C2311yescharacteristic
242C2×C8×D43C2311yescharacteristic
243C2×C8×D43C2311yescharacteristic
244#13063325C2311yescharacteristic
245#13063324—21no—
246#13063324C2311yescharacteristic
247#13063322C2311yescharacteristic
248#13063321—21no—
249#13063321—21no—
250#13063321—21no—
251#13063321C2311yescharacteristic
252#13063321C2311yescharacteristic
253#13063321C2311yescharacteristic
254#13063320—21no—
255#13063320—21no—
256#13063320—21no—
257#13063319—21no—
258#13063319D411yescharacteristic
259#13063319D411yescharacteristic
260#13063318—21no—
261#13063318—21no—
262#13063318—21no—
263#13063317D411yescharacteristic
264#13063316C2311yescharacteristic
265#13063315—21no—
266#13063315—21no—
267#13063315—21no—
268#13063314—21no—
269#13063314—21no—
270#13063314C2311yescharacteristic
271#13063313—21no—
272#13063313D411yescharacteristic
273#13063313C2311yescharacteristic
274#13063313C2311yescharacteristic
275#13063312—21no—
276#13063312C2311yescharacteristic
277#13063312C2311yescharacteristic
278#13063311—21no—
279#13063311—21no—
280#13063311—21no—
281#13063311—21no—
282#13063310—21no—
283#13063310—21no—
284#13063310—21no—
285#13063310—21no—
286#13063309—21no—
287#13063309—21no—
288#13063309—21no—
289#13063308—21no—
290#13063308D411yescharacteristic
291#13063308D411yescharacteristic
292#13063307—21no—
293#13063307—21no—
294#13063307—21no—
295#13063307—21no—
296#13063307—21no—
297#13063305C2311yescharacteristic
298#13063305C2311yescharacteristic
299#13063304—21no—
300#13063304D411yescharacteristic
301#13063303—21no—
302#13063303—21no—
303#13063302—21no—
304#13063301—21no—
305#13063301—21no—
306#13063301C2311yescharacteristic
307#13063300—21no—
308#13063300C2311yescharacteristic
309#13063300C2311yescharacteristic
310#13063300C2311yescharacteristic
311#13063300C2311yescharacteristic
312#13063299—21no—
313#13063299—21no—
314#13063299—21no—
315#13063299—21no—
316#13063299—21no—
317#13063299—21no—
318#13063299D411yescharacteristic
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#13063297—21no—
328#13063297—21no—
329#13063297—21no—
330#13063297—21no—
331#13063297—21no—
332#13063297—21no—
333#13063297—21no—
334#13063297—21no—
335#13063296—21no—
336#13063296—21no—
337#13063296C2311yescharacteristic
338#13063295—21no—
339#13063295—21no—
340#13063293—21no—
341#13063293—21no—
342#13063293—21no—
343#13063293—21no—
344#13063293—21no—
345#13063293—21no—
346Q8×Dic43C2311yescharacteristic
347C4×Dic86—21no—
348C4×Dic86C2311yescharacteristic
349C4×Dic86C2311yescharacteristic
350C4×Dic86C2311yescharacteristic
351#13063290—21no—
352#13063290—21no—
353#13063290C2311yescharacteristic
354#13063290C2311yescharacteristic
355#13063290C2311yescharacteristic
356#13063290C2311yescharacteristic
357C4×D172—21no—
358C4×D172—21no—
359C4×D172C2311yescharacteristic
360C4×D172C2311yescharacteristic
361C4×D172C2311yescharacteristic
362D4×Dic43C2311yescharacteristic
363#13063287—21no—
364#13063287—21no—
365#13063287C2311yescharacteristic
366#13063287C2311yescharacteristic
367C4×C22⋊D43—21no—
368C4×C22⋊D43—21no—
369C4×C22⋊D43—21no—
370C4×C22⋊D43C2311yescharacteristic
371C4×C22⋊D43C2311yescharacteristic
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(C22⋊D43)⋊C4—21no—
378#13063284—21no—
379#13063284C2311yescharacteristic
380#13063283—21no—
381#13063283—21no—
382#13063283C2311yescharacteristic
383#13063282—21no—
384#13063282—21no—
385#13063282C2311yescharacteristic
386#13063282C2311yescharacteristic
387#13063281—21no—
388#13063281—21no—
389C2×C4⋊Dic43—21no—
390C2×Dic43⋊C4—21no—
391C4⋊C4×D43C2311yescharacteristic
392C22⋊C4×D43—21no—
393C22⋊C4×D43—21no—
394C42×D43—21no—
395#13063258C2311yescharacteristic
396#13063258C2311yescharacteristic
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#13063250C2311yescharacteristic
408#13063250C2311yescharacteristic
409#13063248C2311yescharacteristic
410#13063248C2311yescharacteristic
411#13063248C2311yescharacteristic
412#13063248C2311yescharacteristic
413#13063248C2311yescharacteristic
414#13063248C2311yescharacteristic
415#13063247C2311yescharacteristic
416#13063247C2311yescharacteristic
417#13063247C2311yescharacteristic
418#13063247C2311yescharacteristic
419#13063246C2311yescharacteristic
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
436#13063236C2311yescharacteristic
437#13063235C2311yescharacteristic
438#13063235C2311yescharacteristic
439C8×Dic43C2311yescharacteristic
440C8×Dic43C2311yescharacteristic
441C2×#41×C43—21no—
442C2×SD16×C43C2311yescharacteristic
443C2×SD16×C43C2311yescharacteristic
444C2×D8×C43C2311yescharacteristic
445C2×D8×C43C2311yescharacteristic
446C22×C8×C43C2311yescharacteristic
447C22×C8×C43C2311yescharacteristic
448C4⋊Q8×C43C2311yescharacteristic
449#127×C43C2311yescharacteristic
450#126×C43—21no—
451#125×C43C2311yescharacteristic
452#124×C43—21no—
453#124×C43C2311yescharacteristic
454#123×C43—21no—
455C22⋊Q8×C43C2311yescharacteristic
456#121×C43—21no—
457#121×C43C2311yescharacteristic
458#121×C43C2311yescharacteristic
459#121×C43C2311yescharacteristic
460C4×Q8×C43C2311yescharacteristic
461C4×D4×C43—21no—
462C4×D4×C43—21no—
463C4×D4×C43C2311yescharacteristic
464C4×D4×C43C2311yescharacteristic
465C4×D4×C43C2311yescharacteristic
466#117×C43—21no—
467C2×C42×C43C2311yescharacteristic
468#107×C43C2311yescharacteristic
469#107×C43C2311yescharacteristic
470#106×C43C2311yescharacteristic
471#106×C43C2311yescharacteristic
472C4⋊C8×C43C2311yescharacteristic
473C4⋊C8×C43C2311yescharacteristic
474C4⋊C8×C43C2311yescharacteristic
475C4⋊C8×C43C2311yescharacteristic
476#103×C43C2311yescharacteristic
477#103×C43C2311yescharacteristic
478#102×C43C2311yescharacteristic
479#102×C43C2311yescharacteristic
480#102×C43C2311yescharacteristic
481#102×C43C2311yescharacteristic
482#102×C43C2311yescharacteristic
483#102×C43C2311yescharacteristic
484C23×D43—21no—
485C23×D43—21no—
486#41×C43—82no—
487C2×Q8×C43—21no—
488C2×Q8×C43C2411yescharacteristic
489C2×D4×C43—21no—
490C2×D4×C43—21no—
491C2×D4×C43—21no—
492C2×D4×C43—21no—
493C2×D4×C43—21no—
494C2×D4×C43C2411yescharacteristic
495C2×D4×C43C2411yescharacteristic
496C2×D4×C43C2411yescharacteristic
497C22×C4×C43—21no—
498C22×C4×C43—21no—
499C22×C4×C43—21no—
500C22×C4×C43C2×D411yescharacteristic
501C22×C4×C43C2×D411yescharacteristic
502C22×C4×C43C2411yescharacteristic
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⋊D43—21no—
510C2×C22⋊D43—21no—
511C2×C22⋊D43—21no—
512C2×C22⋊D43—21no—
513C2×C22⋊D43—21no—
514C2×C22⋊D43—21no—
515C2×C22⋊D43—21no—
516C2×C22⋊D43—21no—
517C2×C22⋊D43—21no—
518C2×C22⋊D43C2×D411yescharacteristic
519C2×C22⋊D43C2×D411yescharacteristic
520C22×Dic43—21no—
521C22×Dic43—21no—
522C22×Dic43—21no—
523C22×Dic43—21no—
524Q8×D43—22no—
525Q8×D43—41no—
526#10621900—22no—
527#10621900—41no—
528#10621900—41no—
529#10621900—41no—
530#10621900—41no—
531#10621900—41no—
532D4×D43—41no—
533D4×D43—41no—
534D4×D43—41no—
535D4×D43—41no—
536#10621898—22no—
537#10621898—41no—
538#10621898—41no—
539#10621898—41no—
540#10621898—41no—
541#10621898—41no—
542#10621898—82no—
543C2×D172—21no—
544C2×D172—21no—
545C2×D172—21no—
546C2×D172—21no—
547C2×D172—21no—
548C2×D172—21no—
549C2×D172—82no—
550C2×D172C2×D411yescharacteristic
551C2×D172C2411yescharacteristic
552C2×D172C2411yescharacteristic
553C2×D172C2411yescharacteristic
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×D43C2411yescharacteristic
564C2×C4×D43C2411yescharacteristic
565C2×Dic86—21no—
566C2×Dic86—21no—
567C2×Dic86C2×D411yescharacteristic
568C2×Dic86C2411yescharacteristic
569C2×Dic86C2411yescharacteristic
570C2×Dic86C2411yescharacteristic
571SD16×C43—41no—
572SD16×C43—41no—
573D8×C43—41no—
574D8×C43—41no—
575C2×C8×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×C43C2411yescharacteristic
587C4⋊C4×C43C2411yescharacteristic
588C4⋊C4×C43C2411yescharacteristic
589C4⋊C4×C43C2411yescharacteristic
590C22⋊C4×C43—21no—
591C22⋊C4×C43—21no—
592C22⋊C4×C43—21no—
593C22⋊C4×C43—21no—
594C22⋊C4×C43—21no—
595C22⋊C4×C43—21no—
596C22⋊C4×C43—21no—
597C22⋊C4×C43—21no—
598C22⋊C4×C43—21no—
599C42×C43—21no—
600C42×C43C2×D411yescharacteristic
601C42×C43C2×D411yescharacteristic
602C42×C43C2411yescharacteristic
603C42×C43C2411yescharacteristic
604C22⋊Dic43—21no—
605C22⋊Dic43—21no—
606C22⋊Dic43—21no—
607C22⋊Dic43—21no—
608C22⋊Dic43—21no—
609C22⋊Dic43—21no—
610C22⋊Dic43—21no—
611C22⋊Dic43C2×D411yescharacteristic
612C22⋊Dic43C2×D411yescharacteristic
613#10621885—41no—
614#10621885—41no—
615#10621884—41no—
616#10621884—41no—
617#10621883—22no—
618#10621883—22no—
619#10621883—41no—
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)⋊C4C2×D411yescharacteristic
644(C2×D43)⋊C4C2×D411yescharacteristic
645(C2×D43)⋊C4C2×D411yescharacteristic
646(C2×D43)⋊C4C2×D411yescharacteristic
647(C2×D43)⋊C4C2×D411yescharacteristic
648(C2×D43)⋊C4C2×D411yescharacteristic
649(C2×D43)⋊C4C2×D411yescharacteristic
650(C2×D43)⋊C4C2×D411yescharacteristic
651C4⋊Dic43—21no—
652C4⋊Dic43—21no—
653C4⋊Dic43—21no—
654C4⋊Dic43—21no—
655C4⋊Dic43—21no—
656C4⋊Dic43—21no—
657C4⋊Dic43C2×D411yescharacteristic
658C4⋊Dic43C2×D411yescharacteristic
659C4⋊Dic43C2411yescharacteristic
660C4⋊Dic43C2411yescharacteristic
661Dic43⋊C4—21no—
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⋊C4C2×D411yescharacteristic
672Dic43⋊C4C2×D411yescharacteristic
673Dic43⋊C4C2×D411yescharacteristic
674Dic43⋊C4C2×D411yescharacteristic
675Dic43⋊C4C2×D411yescharacteristic
676Dic43⋊C4C2×D411yescharacteristic
677Dic43⋊C4C2×D411yescharacteristic
678Dic43⋊C4C2×D411yescharacteristic
679C4×Dic43—21no—
680C4×Dic43—21no—
681C4×Dic43—21no—
682C4×Dic43—21no—
683C4×Dic43—21no—
684C4×Dic43—21no—
685C4×Dic43—21no—
686C4×Dic43—21no—
687C4×Dic43—21no—
688C4×Dic43C2411yescharacteristic
689C4×Dic43C2411yescharacteristic
690C2×C43⋊C8C2411yescharacteristic
691C2×C43⋊C8C2411yescharacteristic
692C2×C43⋊C8C2411yescharacteristic
693C2×C43⋊C8C2411yescharacteristic
694Dic172—22no—
695Dic172—22no—
696D344—41no—
697D344—41no—
698#10621873—22no—
699#10621873—22no—
700#10621873—41no—
701#10621873—41no—
702#10621872—41no—
703#10621872—41no—
704C8×D43—41no—
705C8×D43—41no—
706C23×C43—21no—
707C23×C43—21no—
708C23×C43—21no—
709C23×C43C22×D411yescharacteristic
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—81no—
724D4×C43—21no—
725D4×C43—21no—
726D4×C43—21no—
727D4×C43—21no—
728D4×C43—21no—
729D4×C43—21no—
730D4×C43—81no—
731D4×C43—81no—
732D4×C43—81no—
733D4×C43—81no—
734D4×C43—81no—
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—21no—
742C2×C4×C43—41no—
743C2×C4×C43—41no—
744C2×C4×C43—42no—
745C2×C4×C43—42no—
746C2×C4×C43—81no—
747C2×C4×C43C22×D411yescharacteristic
748C2×C4×C43C22×D411yescharacteristic
749C2×C4×C43C22×D411yescharacteristic
750C2×C4×C43C22×D411yescharacteristic
751C2×C4×C43C22×D411yescharacteristic
752C2×C4×C43C2511yescharacteristic
753C22⋊D43—41no—
754C22⋊D43—41no—
755C22⋊D43—42no—
756C22⋊D43—42no—
757C22⋊D43—81no—
758C22⋊D43—81no—
759C22⋊D43—81no—
760C22⋊D43—81no—
761C22⋊D43—81no—
762C22⋊D43—81no—
763C22⋊D43—81no—
764C22⋊D43—81no—
765C22⋊D43—81no—
766C22⋊D43—81no—
767C22⋊D43—81no—
768C22⋊D43—81no—
769C22⋊D43—81no—
770C2×Dic43—21no—
771C2×Dic43—21no—
772C2×Dic43—21no—
773C2×Dic43—21no—
774C2×Dic43—21no—
775C2×Dic43—42no—
776C2×Dic43—81no—
777C2×Dic43—81no—
778C2×Dic43—81no—
779C2×Dic43C22×D411yescharacteristic
780C2×Dic43C22×D411yescharacteristic
781C2×Dic43C22×D411yescharacteristic
782C2×Dic43C22×D411yescharacteristic
783C2×Dic43C22×D411yescharacteristic
784C2×Dic43C22×D411yescharacteristic
785D172—21no—
786D172—21no—
787D172—21no—
788D172—21no—
789D172—21no—
790D172—21no—
791D172—41no—
792D172—42no—
793D172—81no—
794D172—81no—
795D172—81no—
796D172—81no—
797D172—81no—
798C4×D43—21no—
799C4×D43—21no—
800C4×D43—21no—
801C4×D43—21no—
802C4×D43—42no—
803C4×D43—42no—
804C4×D43—81no—
805C4×D43—81no—
806C4×D43—81no—
807C4×D43—81no—
808C4×D43—81no—
809C4×D43—81no—
810C4×D43—81no—
811Dic86—21no—
812Dic86—21no—
813Dic86—21no—
814Dic86—21no—
815Dic86—21no—
816Dic86—41no—
817Dic86—42no—
818Dic86—81no—
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×C43—41no—
839C22×C43—41no—
840C22×C43—41no—
841C22×C43C23×D411yescharacteristic
842C2×D43—21no—
843C2×D43—21no—
844C2×D43—21no—
845C2×D43—21no—
846C2×D43—21no—
847C2×D43—21no—
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×C43C2×H(5,𝔽2)11yescharacteristic
870C4×C43#58511yescharacteristic
871Dic43—21no—
872Dic43—21no—
873Dic43—21no—
874Dic43—21no—
875Dic43—22no—
876Dic43—21no—
877Dic43—21no—
878Dic43—41no—
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#3262—431no—
901#3257—431no—
902#3247D4311yescharacteristic, complemented
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—81no—
917C2×C43#348811yescharacteristic
918C2×C43#358411yescharacteristic
919C2×C43#358511yescharacteristic
920D43—41no—
921D43—41no—
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—431no—
957#542—431no—
958#542—861no—
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#532C2×D4311yescharacteristic
969#529—431no—
970#529—861no—
971#529—861no—
972#529C2×D4311yescharacteristic, complemented
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#478C2×D4311yescharacteristic
997#478C2×D4311yescharacteristic, complemented
998#477—431no—
999#477C2×D4311yescharacteristic, complemented
1000#476C2×D4311yescharacteristic, complemented
1001#475—431no—
1002#474—431no—
1003#474—431no—
1004#469—431no—
1005#468—431no—
1006#468—431no—
1007#468—431no—
1008#467—431no—
1009#466—431no—
1010#466—431no—
1011#466C2×D4311yescharacteristic
1012#466C2×D4311yescharacteristic, complemented
1013#465—431no—
1014#465C2×D4311yescharacteristic
1015#465C2×D4311yescharacteristic, complemented
1016#464—431no—
1017#464—431no—
1018#464—431no—
1019#464—431no—
1020#464—431no—
1021#464—431no—
1022#464—431no—
1023#464—431no—
1024#463—431no—
1025#463—431no—
1026#463—431no—
1027#463—431no—
1028#463—431no—
1029#463—431no—
1030#463C2×D4311yescharacteristic
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#460C2×D4311yescharacteristic
1041#459—431no—
1042#459—431no—
1043#459—431no—
1044#459—431no—
1045#459C2×D4311yescharacteristic
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#424—431no—
1089C2×C4⋊C8C2×D4311yescharacteristic, complemented
1090#418—431no—
1091#417—431no—
1092#416—431no—
1093#416—431no—
1094#416—431no—
1095C2×#102—431no—
1096C43#6202611yescharacteristic, complemented, Sylow
1097C2×#41—21no—
1098C2×#41—431no—
1099C2×#41—431no—
1100C2×#41—431no—
1101C2×#41—431no—
1102C2×#41—431no—
1103C2×#41—431no—
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×Q16—431no—
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×D8C22×D4311yescharacteristic
1138C2×D8C22×D4311yescharacteristic
1139C2×M16—431no—
1140C2×M16—431no—
1141C22×C8—431no—
1142C22×C8—431no—
1143C22×C8C22×D4311yescharacteristic
1144C22×C8C22×D4311yescharacteristic
1145C4⋊Q8—431no—
1146C4⋊Q8—431no—
1147C4⋊Q8—861no—
1148C4⋊Q8C22×D4311yescharacteristic
1149#127—431no—
1150#127—431no—
1151#127—431no—
1152#127—431no—
1153#127—861no—
1154#127—861no—
1155#127—861no—
1156#127C22×D4311yescharacteristic
1157#126—21no—
1158#126—431no—
1159#126—431no—
1160#126—861no—
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—861no—
1170#125—861no—
1171#125—861no—
1172#125C22×D4311yescharacteristic
1173#124—21no—
1174#124—431no—
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#124—861no—
1188#124C22×D4311yescharacteristic
1189#123—21no—
1190#123—431no—
1191#123—431no—
1192#123—861no—
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—431no—
1206C22⋊Q8—431no—
1207C22⋊Q8—431no—
1208C22⋊Q8—431no—
1209C22⋊Q8—861no—
1210C22⋊Q8—861no—
1211C22⋊Q8—861no—
1212C22⋊Q8—861no—
1213C22⋊Q8—861no—
1214C22⋊Q8—861no—
1215C22⋊Q8C22×D4311yescharacteristic
1216#121—21no—
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#121C22×D4311yescharacteristic
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—431no—
1267C4×Q8—861no—
1268C4×Q8—861no—
1269C4×Q8—861no—
1270C4×Q8C22×D4311yescharacteristic
1271C4×D4—21no—
1272C4×D4—21no—
1273C4×D4—431no—
1274C4×D4—431no—
1275C4×D4—431no—
1276C4×D4—431no—
1277C4×D4—431no—
1278C4×D4—431no—
1279C4×D4—431no—
1280C4×D4—431no—
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×D4C22×D4311yescharacteristic
1295C4×D4C22×D4311yescharacteristic
1296C4×D4C22×D4311yescharacteristic
1297#117—21no—
1298#117—431no—
1299#117—431no—
1300#117—431no—
1301#117—431no—
1302#117—861no—
1303#117—861no—
1304#117—861no—
1305#117—861no—
1306#117—861no—
1307#117—861no—
1308#117—861no—
1309C2×C4⋊C4—431no—
1310C2×C4⋊C4—861no—
1311C2×C4⋊C4—861no—
1312C2×C22⋊C4—861no—
1313C2×C22⋊C4—861no—
1314C2×C42—861no—
1315C2×C42C22×D4311yescharacteristic
1316#107—431no—
1317#107—431no—
1318#107C22×D4311yescharacteristic
1319#107C22×D4311yescharacteristic
1320#106—431no—
1321#106—431no—
1322#106C22×D4311yescharacteristic
1323#106C22×D4311yescharacteristic
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#103—431no—
1343#103—431no—
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#102C22×D4311yescharacteristic
1361#102C22×D4311yescharacteristic
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—82no—
1381#41—862no—
1382#41—862no—
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—431no—
1396C2×Q8—431no—
1397C2×Q8—431no—
1398C2×Q8—431no—
1399C2×Q8—861no—
1400C2×Q8—861no—
1401C2×Q8—862no—
1402C2×Q8—1721no—
1403C2×Q8C23×D4311yescharacteristic
1404C2×D4—21no—
1405C2×D4—21no—
1406C2×D4—21no—
1407C2×D4—21no—
1408C2×D4—21no—
1409C2×D4—431no—
1410C2×D4—431no—
1411C2×D4—431no—
1412C2×D4—431no—
1413C2×D4—431no—
1414C2×D4—431no—
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—3442no—
1437C2×D4—1721no—
1438C2×D4—1721no—
1439C2×D4—1721no—
1440C2×D4—1721no—
1441C2×D4C23×D4311yescharacteristic
1442C2×D4C23×D4311yescharacteristic
1443C2×D4C23×D4311yescharacteristic
1444C22×C4—21no—
1445C22×C4—21no—
1446C22×C4—21no—
1447C22×C4—431no—
1448C22×C4—431no—
1449C22×C4—861no—
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×C4D4×D4311yescharacteristic
1463C22×C4D4×D4311yescharacteristic
1464C22×C4C23×D4311yescharacteristic
1465Q16—862no—
1466Q16—862no—
1467Q16—1721no—
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—41no—
1483D8—1721no—
1484D8—1721no—
1485D8—1721no—
1486D8—1721no—
1487D8—1721no—
1488D8—1721no—
1489M16—1721no—
1490M16—1721no—
1491C2×C8—41no—
1492C2×C8—41no—
1493C2×C8—431no—
1494C2×C8—431no—
1495C2×C8—431no—
1496C2×C8—431no—
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—431no—
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—431no—
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⋊C4—861no—
1535C4⋊C4—861no—
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—431no—
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—431no—
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⋊C4—861no—
1583C22⋊C4—861no—
1584C42—21no—
1585C42—431no—
1586C42—431no—
1587C42—861no—
1588C42—861no—
1589C42—861no—
1590C42—861no—
1591C42—861no—
1592C42—861no—
1593C42—861no—
1594C42—861no—
1595C42—861no—
1596C42D4×D4311yescharacteristic
1597C42D4×D4311yescharacteristic
1598C42C23×D4311yescharacteristic
1599C42C23×D4311yescharacteristic
1600C23—21no—
1601C23—21no—
1602C23—21no—
1603C23—431no—
1604C23—431no—
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—81no—
1618Q8—432no—
1619Q8—861no—
1620Q8—861no—
1621Q8—861no—
1622Q8—861no—
1623Q8—861no—
1624Q8—3441no—
1625Q8—1721no—
1626Q8—1722no—
1627D4—21no—
1628D4—21no—
1629D4—21no—
1630D4—21no—
1631D4—21no—
1632D4—21no—
1633D4—81no—
1634D4—81no—
1635D4—81no—
1636D4—81no—
1637D4—81no—
1638D4—861no—
1639D4—861no—
1640D4—861no—
1641D4—861no—
1642D4—861no—
1643D4—861no—
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—1722no—
1664D4—1721no—
1665D4—1721no—
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—41no—
1676C2×C4—41no—
1677C2×C4—42no—
1678C2×C4—42no—
1679C2×C4—81no—
1680C2×C4—431no—
1681C2×C4—431no—
1682C2×C4—431no—
1683C2×C4—431no—
1684C2×C4—431no—
1685C2×C4—431no—
1686C2×C4—861no—
1687C2×C4—861no—
1688C2×C4—861no—
1689C2×C4—861no—
1690C2×C4—861no—
1691C2×C4—861no—
1692C2×C4—861no—
1693C2×C4—861no—
1694C2×C4—861no—
1695C2×C4—3441no—
1696C2×C4—3441no—
1697C2×C4—3441no—
1698C2×C4—3441no—
1699C2×C4—3441no—
1700C2×C4—3441no—
1701C2×C4—3441no—
1702C2×C4—3441no—
1703C2×C4—3441no—
1704C2×C4—3441no—
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—41no—
1732C22—41no—
1733C22—41no—
1734C22—861no—
1735C22—861no—
1736C22—861no—
1737C22—861no—
1738C22—861no—
1739C22—861no—
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—861no—
1763C4—861no—
1764C4—861no—
1765C4—861no—
1766C4—861no—
1767C4—861no—
1768C4—862no—
1769C4—1721no—
1770C4—1721no—
1771C4—1721no—
1772C4—1721no—
1773C4H(5,𝔽2)×D4311yescharacteristic
1774C4#1458373611yescharacteristic
1775C2—41no—
1776C2—81no—
1777C2—81no—
1778C2—81no—
1779C2—3441no—
1780C2—3441no—
1781C2—3441no—
1782C2—1721no—
1783C2—1721no—
1784C2#1914825911yescharacteristic
1785C2#1914936411yescharacteristic
1786C2#1914937111yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3247C2
socleC22×C43C23×D4
hypercenter#3247D43
hypocenterC43#62026
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C2×C42 ◁ #3247

Complements

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

NH ≅ G/Ntype
1. #19148967C2semidirect
2. #19148694C2semidirect
3. #19147658C2semidirect
4. #19147632C2semidirect
5. #19147440C2semidirect
6. #19147327C2semidirect
7. #19146757C2semidirect
8. #19146733C2semidirect
9. #19146727C2semidirect
10. #19146568C2semidirect
11. #19146540C2semidirect
12. #19146425C2semidirect
13. #19146352C2semidirect
14. #19146309C2semidirect
15. #19146177C2semidirect
16. #19146156C2semidirect
17. #19146132C2semidirect
18. #19146096C2semidirect
19. #19146058C2semidirect
20. #19146005C2semidirect
21. #19145694C2semidirect
22. #19145644C2semidirect
23. #19145628C2semidirect
24. #19144877C2semidirect
25. #19144829C2semidirect
26. #19144740C2semidirect
27. #19144129C2semidirect
28. #19144111C2semidirect
29. #19144052C2semidirect
30. #19143731C2semidirect
31. C43×#3247C2semidirect
32. C2×#13063354C22semidirect
34. C2×#13063347C22semidirect
35. C2×#13063347C22semidirect
36. C2×#13063344C22semidirect
41. #14583631C22semidirect
42. #14583626C22semidirect
44. #14583613C22semidirect
49. #14583583C22semidirect
54. #14583567C22semidirect
55. #14583559C22semidirect
64. #14583521C22semidirect
67. #14583500C22semidirect
78. #14583378C22semidirect
79. #14583375C22semidirect
80. C4×#10621898C22semidirect
81. #14583294C22semidirect
84. #14583285C22semidirect
86. #14583274C22semidirect
87. #14583269C22semidirect
89. #14583262C22semidirect
92. #14583244C22semidirect
93. #14583242C22semidirect
94. #14583231C22semidirect
97. #14583220C22semidirect
99. #14583209C22semidirect
100. #14583198C22semidirect
101. #14583193C22semidirect
102. #14583181C22semidirect
103. #14583178C22semidirect
104. #14583176C22semidirect
107. #14583146C22semidirect
108. #14583144C22semidirect
109. #14583139C22semidirect
112. #14583129C22semidirect
113. #14583124C22semidirect
114. #14583122C22semidirect
115. #14583122C22semidirect
116. #14583121C22semidirect
117. #14583121C22semidirect
121. #14583117C22semidirect
122. #14583115C22semidirect
123. #14583115C22semidirect
124. #14583114C22semidirect
125. #14583114C22semidirect
127. #14583110C22semidirect
128. #14583105C22semidirect
130. #14583098C22semidirect
131. #14583098C22semidirect
132. #14583098C22semidirect
133. #14583097C22semidirect
136. #14583093C22semidirect
137. #14583092C22semidirect
139. #14583062C22semidirect
140. #14583059C22semidirect
141. #14583059C22semidirect
142. #14583058C22semidirect
143. #14583056C22semidirect
146. #14583045C22semidirect
147. #14583045C22semidirect
149. #14583042C22semidirect
150. #14583042C22semidirect
151. #14583042C22semidirect
152. #14583041C22semidirect
157. #14583028C22semidirect
158. #14583028C22semidirect
160. #14583009C22semidirect
161. #14583008C22semidirect
162. #14583005C22semidirect
163. #14583003C22semidirect
165. #14582999C22semidirect
166. #14582998C22semidirect
167. #14582993C22semidirect
168. #14582990C22semidirect
169. #14582986C22semidirect
170. #14582984C22semidirect
171. #14582970C22semidirect
172. #14582970C22semidirect
175. C8×C22⋊D43C22semidirect
176. C8×C22⋊D43C22semidirect
177. #14582959C22semidirect
178. #14582959C22semidirect
179. #14582956C22semidirect
180. #14582924C22semidirect
181. #14582924C22semidirect
183. #14582897C22semidirect
184. #14582896C22semidirect
185. #14582896C22semidirect
186. #14582892C22semidirect
189. C43×#529C22semidirect
191. C43×#478C22semidirect
192. C43×#477C22semidirect
193. C43×#476C22semidirect
195. C43×#466C22semidirect
197. C43×#465C22semidirect
199. C43×#463C22semidirect
202. C2×C4⋊C8×C43C22semidirect
902. #3247D43semidirect
972. #529C2×D43semidirect
997. #478C2×D43semidirect
999. #477C2×D43semidirect
1000. #476C2×D43semidirect
1012. #466C2×D43semidirect
1015. #465C2×D43semidirect
1031. #463C2×D43semidirect
1089. C2×C4⋊C8C2×D43semidirect
1096. C43#62026semidirect

Maximal subgroups

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

subgroupindex
#191489672
#191486942
#191476582
#191476322
#191474402
#191473272
#191467572
#191467332
#191467272
#191465682
#191465402
#191464252
#191463522
#191463092
#191461772
#191461562
#191461322
#191460962
#191460582
#191460052
#191456942
#191456442
#191456282
#191448772
#191448292
#191447402
#191441292
#191441112
#191440522
#191437312
C43×#32472
#6202643