Finite Group Databasebeta

← #25982068

Subgroups — #25982068

Order 11008.

2138 conjugacy classes of subgroups.

The subgroup lattice has 1902 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19148422C211yesmaximal, characteristic, complemented
2#19148085C211yesmaximal, characteristic, complemented
3#19146856C211yesmaximal, characteristic, complemented
4#19146806C211yesmaximal, characteristic, complemented
5#19146771C211yesmaximal, characteristic, complemented
6#19146743C211yesmaximal, characteristic, complemented
7#19146721C211yesmaximal, characteristic, complemented
8#19146693C211yesmaximal, characteristic, complemented
9#19146490C211yesmaximal, characteristic, complemented
10#19146440C211yesmaximal, characteristic, complemented
11#19146330C211yesmaximal, characteristic, complemented
12#19146305C211yesmaximal, characteristic, complemented
13#19146226C211yesmaximal, characteristic, complemented
14#19146206C211yesmaximal, characteristic, complemented
15#19146160C211yesmaximal, characteristic, complemented
16#19146116C211yesmaximal, characteristic, complemented
17#19146089C211yesmaximal, characteristic, complemented
18#19145627C211yesmaximal, characteristic, complemented
19#19145569C211yesmaximal, characteristic, complemented
20#19145434C211yesmaximal, characteristic, complemented
21#19145420C211yesmaximal, characteristic, complemented
22#19145382C211yesmaximal, characteristic, complemented
23#19145357C211yesmaximal, characteristic, complemented
24#19144702C211yesmaximal, characteristic, complemented
25#19144612C211yesmaximal, characteristic, complemented
26#19143843C211yesmaximal, characteristic, complemented
27#19143833C211yesmaximal, characteristic, complemented
28#19143809C211yesmaximal, characteristic, complemented
29#452×D43C211yesmaximal, characteristic, complemented
30#19143625C211yesmaximal, characteristic, complemented
31C43×#3268C211yesmaximal, characteristic, complemented
32C2×#41×D43C2211yescharacteristic
33C2×#41×D43C2211yescharacteristic, complemented
34C2×#13063354C2211yescharacteristic, complemented
35C2×#13063351C2211yescharacteristic, complemented
36C2×#13063349C2211yescharacteristic, complemented
37C2×#13063345C2211yescharacteristic, complemented
38C2×Q16×D43C2211yescharacteristic, complemented
39C2×SD16×D43C2211yescharacteristic, complemented
40#14583599C2211yescharacteristic
41#14583596—21no—
42#14583596C2211yescharacteristic, complemented
43#14583594—21no—
44#14583591C2211yescharacteristic, complemented
45#14583589C2211yescharacteristic, complemented
46#14583580—21no—
47#14583575—21no—
48Q8×D172C2211yescharacteristic, complemented
49#14583557C2211yescharacteristic
50#14583556C2211yescharacteristic
51#14583556C2211yescharacteristic, complemented
52#14583556C2211yescharacteristic, complemented
53#14583554—21no—
54#14583554C2211yescharacteristic
55#14583546—21no—
56#14583546—21no—
57#14583546C2211yescharacteristic
58#14583546C2211yescharacteristic, complemented
59#14583543C2211yescharacteristic, complemented
60#14583534—21no—
61#14583534C2211yescharacteristic, complemented
62#14583492—21no—
63#14583481—21no—
64#14583459—21no—
65#14583447—21no—
66#14583447C2211yescharacteristic, complemented
67#14583431C2211yescharacteristic, complemented
68#14583428C2211yescharacteristic, complemented
69#14583409—21no—
70#14583409—21no—
71#14583409C2211yescharacteristic
72#14583409C2211yescharacteristic, complemented
73#14583409C2211yescharacteristic, complemented
74#14583406C2211yescharacteristic, complemented
75C22⋊Q8×D43C2211yescharacteristic, complemented
76C2×#13063296C2211yescharacteristic, complemented
77#14583372—21no—
78C4×#10621902C2211yescharacteristic, complemented
79C4×D4×D43—21no—
80C4×D4×D43C2211yescharacteristic
81#14583294C2211yescharacteristic, complemented
82#14583282C2211yescharacteristic, complemented
83#14583282C2211yescharacteristic, complemented
84#14583268C2211yescharacteristic, complemented
85#14583263C2211yescharacteristic, complemented
86#14583252C2211yescharacteristic, complemented
87#14583252C2211yescharacteristic, complemented
88#14583242C2211yescharacteristic, complemented
89#14583242C2211yescharacteristic, complemented
90#14583241C2211yescharacteristic, complemented
91#14583238C2211yescharacteristic, complemented
92#14583236C2211yescharacteristic, complemented
93#14583235C2211yescharacteristic, complemented
94#14583221C2211yescharacteristic, complemented
95#14583221C2211yescharacteristic, complemented
96#14583221C2211yescharacteristic, complemented
97#14583220C2211yescharacteristic, complemented
98#14583216C2211yescharacteristic, complemented
99#14583215C2211yescharacteristic, complemented
100#14583208C2211yescharacteristic, complemented
101#14583206C2211yescharacteristic, complemented
102#14583202C2211yescharacteristic, complemented
103#14583200C2211yescharacteristic, complemented
104#14583157C2211yescharacteristic, complemented
105#14583156C2211yescharacteristic, complemented
106#14583155C2211yescharacteristic, complemented
107#14583149C2211yescharacteristic, complemented
108#14583144C2211yescharacteristic, complemented
109#14583143C2211yescharacteristic, complemented
110#14583142C2211yescharacteristic, complemented
111#14583140C2211yescharacteristic, complemented
112#14583132C2211yescharacteristic, complemented
113#14583132C2211yescharacteristic, complemented
114#14583127C2211yescharacteristic, complemented
115#14583127C2211yescharacteristic, complemented
116#14583126C2211yescharacteristic, complemented
117#14583126C2211yescharacteristic, complemented
118#14583119C2211yescharacteristic, complemented
119#14583119C2211yescharacteristic, complemented
120#14583119C2211yescharacteristic, complemented
121#14583113C2211yescharacteristic, complemented
122#14583112C2211yescharacteristic, complemented
123#14583112C2211yescharacteristic, complemented
124#14583111C2211yescharacteristic, complemented
125#14583110C2211yescharacteristic, complemented
126#14583104C2211yescharacteristic, complemented
127#14583096C2211yescharacteristic, complemented
128#14583064C2211yescharacteristic, complemented
129#14583063C2211yescharacteristic, complemented
130#14583063C2211yescharacteristic, complemented
131#14583062C2211yescharacteristic, complemented
132#14583062C2211yescharacteristic, complemented
133#14583062C2211yescharacteristic, complemented
134#14583061C2211yescharacteristic, complemented
135#14583061C2211yescharacteristic, complemented
136#14583061C2211yescharacteristic, complemented
137#14583060C2211yescharacteristic, complemented
138#14583059C2211yescharacteristic, complemented
139#14583058C2211yescharacteristic, complemented
140#14583058C2211yescharacteristic, complemented
141#14583056C2211yescharacteristic, complemented
142#14583053C2211yescharacteristic, complemented
143#14583050C2211yescharacteristic, complemented
144#14583048C2211yescharacteristic, complemented
145#14583043C2211yescharacteristic
146#14583043C2211yescharacteristic
147#14583042C2211yescharacteristic, complemented
148#14583041C2211yescharacteristic, complemented
149#14583041C2211yescharacteristic, complemented
150#14583041C2211yescharacteristic, complemented
151#14583041C2211yescharacteristic, complemented
152#14583041C2211yescharacteristic, complemented
153#14583036C2211yescharacteristic, complemented
154#14583036C2211yescharacteristic, complemented
155#14583036C2211yescharacteristic, complemented
156#14583036C2211yescharacteristic, complemented
157#14583031C2211yescharacteristic, complemented
158#14583031C2211yescharacteristic, complemented
159#14583031C2211yescharacteristic, complemented
160#14583009C2211yescharacteristic, complemented
161#14583004C2211yescharacteristic, complemented
162#14583001C2211yescharacteristic, complemented
163Q16×Dic43C2211yescharacteristic, complemented
164SD16×Dic43C2211yescharacteristic, complemented
165#14582984C2211yescharacteristic, complemented
166#14582979C2211yescharacteristic, complemented
167#14582975C2211yescharacteristic, complemented
168#14582974C2211yescharacteristic, complemented
169#14582972C2211yescharacteristic, complemented
170#14582971C2211yescharacteristic, complemented
171#14582969C2211yescharacteristic, complemented
172C8×C22⋊D43C2211yescharacteristic, complemented
173(C22⋊D43)⋊C8C2211yescharacteristic, complemented
174#14582954C2211yescharacteristic, complemented
175#14582951C2211yescharacteristic, complemented
176#14582906C2211yescharacteristic, complemented
177#14582902C2211yescharacteristic, complemented
178#14582901C2211yescharacteristic, complemented
179#14582900C2211yescharacteristic, complemented
180#14582896C2211yescharacteristic, complemented
181#14582895C2211yescharacteristic, complemented
182#103×D43C2211yescharacteristic, complemented
183#102×D43C2211yescharacteristic, complemented
184#14582862C2211yescharacteristic, complemented
185#14582861C2211yescharacteristic, complemented
186C2×(C2×D43)⋊C8C2211yescharacteristic, complemented
187C22⋊C8×D43C2211yescharacteristic, complemented
188C2×AGL(1,ℤ/8)×C43C2211yescharacteristic, complemented
189C2×#135×C43C2211yescharacteristic, complemented
190C43×#550C2211yescharacteristic
191C43×#546C2211yescharacteristic, complemented
192C43×#496C2211yescharacteristic, complemented
193C43×#468C2211yescharacteristic, complemented
194C43×#466C2211yescharacteristic, complemented
195C43×#464C2211yescharacteristic, complemented
196C43×#459C2211yescharacteristic, complemented
197C43×#452C2211yescharacteristic, complemented
198C43×#449C2211yescharacteristic, complemented
199C43×#449C2211yescharacteristic, complemented
200C43×#447C2211yescharacteristic, complemented
201C43×#440C2211yescharacteristic, complemented
202C43×#435C2211yescharacteristic, complemented
203C2×#10621902C2311yescharacteristic
204C2×#10621898—21no—
205C2×#10621898—21no—
206C2×#10621898C2311yescharacteristic
207C2×#10621898C2311yescharacteristic
208C2×#10621900—21no—
209C2×#10621900—21no—
210C2×#10621900C2311yescharacteristic
211C2×#10621900C2311yescharacteristic
212C2×#10621900C2311yescharacteristic
213#41×D43—42no—
214#41×D43—42no—
215#41×D43—42no—
216#41×D43—42no—
217C2×Q8×D43C2311yescharacteristic
218C2×Q8×D43C2311yescharacteristic
219C2×Q8×D43C2311yescharacteristic
220C22×C22⋊D43—21no—
221C2×D4×D43—21no—
222C2×D4×D43—21no—
223C2×D4×D43—21no—
224C2×D4×D43D411yescharacteristic
225C2×D4×D43C2311yescharacteristic
226C2×D4×D43C2311yescharacteristic
227C22×C4×D43—21no—
228C22×C4×D43—21no—
229C22×C4×D43C2311yescharacteristic
230C22×C4×D43C2311yescharacteristic
231#13063354—42no—
232#13063351—42no—
233#13063349—42no—
234#13063345—42no—
235C2×Dic172C2311yescharacteristic
236C2×Dic172C2311yescharacteristic
237C2×#10621885C2311yescharacteristic
238C2×#10621885C2311yescharacteristic
239C2×#10621885C2311yescharacteristic
240Q16×D43—42no—
241C2×#10621873C2311yescharacteristic
242C2×#10621883C2311yescharacteristic
243C2×#10621883C2311yescharacteristic
244C2×#10621883C2311yescharacteristic
245C2×#10621883C2311yescharacteristic
246C2×#10621883C2311yescharacteristic
247C2×#10621883C2311yescharacteristic
248C2×#10621884C2311yescharacteristic
249SD16×D43—42no—
250C2×#10621882C2311yescharacteristic
251C2×#10621882C2311yescharacteristic
252C2×#10621877C2311yescharacteristic
253C2×#10621872C2311yescharacteristic
254C2×#10621872C2311yescharacteristic
255C22×C43⋊C8C2311yescharacteristic
256C2×C8×D43C2311yescharacteristic
257C2×C8×D43C2311yescharacteristic
258#13063325—21no—
259#13063325C2311yescharacteristic
260#13063320—21no—
261#13063318—21no—
262#13063318—21no—
263#13063318—21no—
264#13063318—21no—
265#13063318—21no—
266#13063317C2311yescharacteristic
267#13063316—21no—
268#13063316C2311yescharacteristic
269#13063315—21no—
270#13063312—21no—
271#13063312—21no—
272#13063312—21no—
273#13063312C2311yescharacteristic
274#13063312C2311yescharacteristic
275#13063312C2311yescharacteristic
276#13063311—21no—
277#13063309—21no—
278#13063308—21no—
279#13063307—21no—
280#13063307—21no—
281#13063307—21no—
282#13063307—21no—
283#13063307—21no—
284#13063307—21no—
285#13063307—21no—
286#13063307—21no—
287#13063307—21no—
288#13063306—21no—
289#13063306—21no—
290#13063306—21no—
291#13063306—21no—
292#13063305—21no—
293#13063305—21no—
294#13063305C2311yescharacteristic
295#13063305C2311yescharacteristic
296#13063305C2311yescharacteristic
297#13063304—21no—
298#13063304—21no—
299#13063304—21no—
300#13063304C2311yescharacteristic
301#13063304C2311yescharacteristic
302#13063304C2311yescharacteristic
303#13063304C2311yescharacteristic
304#13063303—21no—
305#13063302—21no—
306#13063302—21no—
307#13063301C2311yescharacteristic
308#13063301C2311yescharacteristic
309#13063298—21no—
310#13063298—21no—
311#13063297—21no—
312#13063296—21no—
313#13063296—21no—
314#13063296—21no—
315#13063296—21no—
316#13063296—21no—
317#13063296—21no—
318#13063296—21no—
319#13063296—21no—
320#13063296—21no—
321#13063296—21no—
322#13063296—21no—
323#13063296—21no—
324#13063296C2311yescharacteristic
325#13063296C2311yescharacteristic
326#13063296C2311yescharacteristic
327#13063296C2311yescharacteristic
328#13063296C2311yescharacteristic
329#13063296C2311yescharacteristic
330#13063296C2311yescharacteristic
331#13063294—21no—
332#13063293—21no—
333#13063293—21no—
334#13063293—21no—
335#13063293—21no—
336#13063293—21no—
337#13063293—21no—
338#13063293—21no—
339#13063293—21no—
340Q8×Dic43C2311yescharacteristic
341Q8×Dic43C2311yescharacteristic
342C4×Dic86C2311yescharacteristic
343C4×D172—21no—
344C4×D172—21no—
345C4×D172C2311yescharacteristic
346C4×D172C2311yescharacteristic
347D4×Dic43—21no—
348D4×Dic43—21no—
349D4×Dic43—21no—
350D4×Dic43—21no—
351D4×Dic43—21no—
352D4×Dic43D411yescharacteristic
353D4×Dic43C2311yescharacteristic
354#13063287—21no—
355#13063287D411yescharacteristic
356#13063287C2311yescharacteristic
357C4×C22⋊D43—21no—
358C4×C22⋊D43—21no—
359C4×C22⋊D43—21no—
360C4×C22⋊D43—21no—
361C4×C22⋊D43—21no—
362C4×C22⋊D43—21no—
363C4×C22⋊D43—21no—
364C4×C22⋊D43C2311yescharacteristic
365C4×C22⋊D43C2311yescharacteristic
366(C22⋊D43)⋊C4—21no—
367(C22⋊D43)⋊C4—21no—
368(C22⋊D43)⋊C4—21no—
369(C22⋊D43)⋊C4—21no—
370(C22⋊D43)⋊C4—21no—
371(C22⋊D43)⋊C4—21no—
372(C22⋊D43)⋊C4D411yescharacteristic
373(C22⋊D43)⋊C4D411yescharacteristic
374#13063284—21no—
375#13063284C2311yescharacteristic
376#13063283—21no—
377#13063283C2311yescharacteristic
378#13063283C2311yescharacteristic
379#13063281—21no—
380#13063281—21no—
381#13063281—21no—
382C2×C4⋊Dic43C2311yescharacteristic
383C4⋊C4×D43—21no—
384C4⋊C4×D43—21no—
385C4⋊C4×D43D411yescharacteristic
386C4⋊C4×D43C2311yescharacteristic
387C2×C22⋊Dic43—21no—
388C2×C22⋊Dic43—21no—
389C22⋊C4×D43—21no—
390C22⋊C4×D43—21no—
391C22⋊C4×D43—21no—
392C22⋊C4×D43D411yescharacteristic
393C22⋊C4×D43D411yescharacteristic
394C42×D43—21no—
395C42×D43C2311yescharacteristic
396#13063259C2311yescharacteristic
397#13063259C2311yescharacteristic
398#13063258C2311yescharacteristic
399#13063257C2311yescharacteristic
400#13063256C2311yescharacteristic
401#13063256C2311yescharacteristic
402#13063256C2311yescharacteristic
403C4⋊(C43⋊C8)C2311yescharacteristic
404Dic43⋊C8C2311yescharacteristic
405Dic43⋊C8C2311yescharacteristic
406#13063250C2311yescharacteristic
407#13063250C2311yescharacteristic
408#13063250C2311yescharacteristic
409#13063250C2311yescharacteristic
410#13063250C2311yescharacteristic
411#13063250C2311yescharacteristic
412#13063250C2311yescharacteristic
413#13063249C2311yescharacteristic
414#13063249C2311yescharacteristic
415#13063249C2311yescharacteristic
416#13063249C2311yescharacteristic
417#13063248C2311yescharacteristic
418#13063248C2311yescharacteristic
419#13063248C2311yescharacteristic
420#13063247C2311yescharacteristic
421#13063247C2311yescharacteristic
422#13063247C2311yescharacteristic
423#13063246C2311yescharacteristic
424#13063246C2311yescharacteristic
425#13063246C2311yescharacteristic
426#13063246C2311yescharacteristic
427#13063246C2311yescharacteristic
428#13063246C2311yescharacteristic
429#13063246C2311yescharacteristic
430#13063246C2311yescharacteristic
431#13063245C2311yescharacteristic
432C22⋊(C43⋊C8)C2311yescharacteristic
433C22⋊(C43⋊C8)C2311yescharacteristic
434(C2×D43)⋊C8C2311yescharacteristic
435(C2×D43)⋊C8C2311yescharacteristic
436(C2×D43)⋊C8C2311yescharacteristic
437(C2×D43)⋊C8C2311yescharacteristic
438(C2×D43)⋊C8C2311yescharacteristic
439(C2×D43)⋊C8C2311yescharacteristic
440(C2×D43)⋊C8C2311yescharacteristic
441(C2×D43)⋊C8C2311yescharacteristic
442#13063236C2311yescharacteristic
443C8×Dic43C2311yescharacteristic
444C8×Dic43C2311yescharacteristic
445C2×#41×C43C2311yescharacteristic
446C2×#41×C43C2311yescharacteristic
447C2×#41×C43C2311yescharacteristic
448C22×D4×C43C2311yescharacteristic
449AGL(1,ℤ/8)×C43—42no—
450#135×C43—42no—
451C2×Q16×C43C2311yescharacteristic
452C2×SD16×C43C2311yescharacteristic
453C2×SD16×C43C2311yescharacteristic
454C2×SD16×C43C2311yescharacteristic
455C2×SD16×C43C2311yescharacteristic
456C2×D8×C43C2311yescharacteristic
457C2×D8×C43C2311yescharacteristic
458C2×D8×C43C2311yescharacteristic
459C2×D8×C43C2311yescharacteristic
460C2×M16×C43C2311yescharacteristic
461C22×C8×C43C2311yescharacteristic
462#127×C43—21no—
463#127×C43C2311yescharacteristic
464#124×C43C2311yescharacteristic
465#123×C43—21no—
466C22⋊Q8×C43C2311yescharacteristic
467#121×C43—21no—
468#121×C43—21no—
469#121×C43—21no—
470#121×C43C2311yescharacteristic
471#121×C43C2311yescharacteristic
472#121×C43C2311yescharacteristic
473#120×C43—21no—
474C4×Q8×C43C2311yescharacteristic
475C4×D4×C43—21no—
476C4×D4×C43C2311yescharacteristic
477C4×D4×C43C2311yescharacteristic
478C2×C22⋊C4×C43—21no—
479#107×C43C2311yescharacteristic
480C4⋊C8×C43C2311yescharacteristic
481#103×C43C2311yescharacteristic
482#103×C43C2311yescharacteristic
483#102×C43C2311yescharacteristic
484#102×C43C2311yescharacteristic
485#102×C43C2311yescharacteristic
486#102×C43C2311yescharacteristic
487C22⋊C8×C43C2311yescharacteristic
488C22⋊C8×C43C2311yescharacteristic
489#97×C43C2311yescharacteristic
490C24×C43—21no—
491C23×D43—21no—
492C23×D43—21no—
493C23×D43C2×D411yescharacteristic
494C23×D43C2×D411yescharacteristic
495#41×C43—22no—
496#41×C43—22no—
497#41×C43—41no—
498#41×C43—41no—
499#41×C43—41no—
500#41×C43—41no—
501C2×Q8×C43C2411yescharacteristic
502C2×Q8×C43C2411yescharacteristic
503C2×D4×C43—21no—
504C2×D4×C43—21no—
505C2×D4×C43—21no—
506C2×D4×C43—21no—
507C2×D4×C43—21no—
508C2×D4×C43—21no—
509C2×D4×C43—21no—
510C2×D4×C43—21no—
511C2×D4×C43—21no—
512C2×D4×C43—41no—
513C2×D4×C43—41no—
514C2×D4×C43C2×D411yescharacteristic
515C2×D4×C43C2411yescharacteristic
516C2×D4×C43C2411yescharacteristic
517C2×D4×C43C2411yescharacteristic
518C2×D4×C43C2411yescharacteristic
519C22×C4×C43—21no—
520C22×C4×C43—21no—
521C22×C4×C43—21no—
522C22×C4×C43—21no—
523C22×C4×C43C2411yescharacteristic
524C22×C4×C43C2411yescharacteristic
525C2×C22⋊D43—21no—
526C2×C22⋊D43—21no—
527C2×C22⋊D43—21no—
528C2×C22⋊D43—21no—
529C2×C22⋊D43—21no—
530C2×C22⋊D43—21no—
531C2×C22⋊D43—21no—
532C2×C22⋊D43—21no—
533C2×C22⋊D43—21no—
534C2×C22⋊D43—21no—
535C2×C22⋊D43—21no—
536C2×C22⋊D43—21no—
537C2×C22⋊D43—21no—
538C2×C22⋊D43—21no—
539C2×C22⋊D43—44no—
540C2×C22⋊D43C2×D411yescharacteristic
541C2×C22⋊D43C2×D411yescharacteristic
542C22×Dic43—21no—
543C22×Dic43—21no—
544C22×Dic43—21no—
545C22×Dic43—21no—
546C22×Dic43—21no—
547C22×Dic43C2×D411yescharacteristic
548C22×Dic43C2×D411yescharacteristic
549#10621902—22no—
550#10621902—22no—
551Q8×D43—22no—
552Q8×D43—22no—
553Q8×D43—41no—
554Q8×D43—41no—
555Q8×D43—41no—
556Q8×D43—41no—
557#10621900—41no—
558#10621900—41no—
559#10621900—41no—
560#10621900—41no—
561#10621900—41no—
562#10621900—41no—
563#10621900—44no—
564#10621900—44no—
565D4×D43—22no—
566D4×D43—22no—
567D4×D43—42no—
568D4×D43—41no—
569D4×D43—41no—
570D4×D43—44no—
571D4×D43—44no—
572D4×D43—44no—
573#10621898—22no—
574#10621898—22no—
575#10621898—41no—
576#10621898—41no—
577#10621898—44no—
578#10621898—44no—
579C2×D172—21no—
580C2×D172C2×D411yescharacteristic
581C2×D172C2411yescharacteristic
582C2×C4×D43—21no—
583C2×C4×D43—21no—
584C2×C4×D43—21no—
585C2×C4×D43—21no—
586C2×C4×D43—21no—
587C2×C4×D43—21no—
588C2×C4×D43—21no—
589C2×C4×D43—21no—
590C2×C4×D43—21no—
591C2×C4×D43—41no—
592C2×C4×D43—41no—
593C2×C4×D43—41no—
594C2×C4×D43—41no—
595C2×C4×D43—44no—
596C2×C4×D43—44no—
597C2×C4×D43C2×D411yescharacteristic
598C2×C4×D43C2×D411yescharacteristic
599C2×C4×D43C2×D411yescharacteristic
600C2×C4×D43C2×D411yescharacteristic
601C2×C4×D43C2×D411yescharacteristic
602C2×C4×D43C2×D411yescharacteristic
603C2×C4×D43C2411yescharacteristic
604C2×C4×D43C2411yescharacteristic
605C2×C4×D43C2411yescharacteristic
606C2×Dic86—21no—
607C2×Dic86—21no—
608C2×Dic86—21no—
609C2×Dic86C2411yescharacteristic
610C2×Dic86C2411yescharacteristic
611C2×Dic86C2411yescharacteristic
612Q16×C43—22no—
613SD16×C43—22no—
614SD16×C43—22no—
615SD16×C43—41no—
616SD16×C43—41no—
617D8×C43—41no—
618D8×C43—41no—
619D8×C43—41no—
620D8×C43—41no—
621M16×C43—41no—
622C2×C8×C43—41no—
623C2×C8×C43C2411yescharacteristic
624C2×C8×C43C2411yescharacteristic
625C2×C8×C43C2411yescharacteristic
626C2×C8×C43C2411yescharacteristic
627C4⋊C4×C43—21no—
628C4⋊C4×C43—21no—
629C4⋊C4×C43C2×D411yescharacteristic
630C4⋊C4×C43C2411yescharacteristic
631C4⋊C4×C43C2411yescharacteristic
632C22⋊C4×C43—21no—
633C22⋊C4×C43—21no—
634C22⋊C4×C43—21no—
635C22⋊C4×C43—21no—
636C22⋊C4×C43—21no—
637C22⋊C4×C43—21no—
638C22⋊C4×C43—21no—
639C22⋊C4×C43C2×D411yescharacteristic
640C22⋊C4×C43C2×D411yescharacteristic
641C42×C43—21no—
642C42×C43C2411yescharacteristic
643C22⋊Dic43—21no—
644C22⋊Dic43—21no—
645C22⋊Dic43—21no—
646C22⋊Dic43—21no—
647C22⋊Dic43—21no—
648C22⋊Dic43—21no—
649C22⋊Dic43—21no—
650C22⋊Dic43—21no—
651C22⋊Dic43—21no—
652C22⋊Dic43—21no—
653C22⋊Dic43—21no—
654C22⋊Dic43—21no—
655C22⋊Dic43—21no—
656C22⋊Dic43—21no—
657C22⋊Dic43—21no—
658C22⋊Dic43—21no—
659C22⋊Dic43—21no—
660C22⋊Dic43—21no—
661C22⋊Dic43—21no—
662C22⋊Dic43C2×D411yescharacteristic
663C22⋊Dic43C2×D411yescharacteristic
664#10621885—22no—
665#10621885—41no—
666#10621885—41no—
667#10621884—22no—
668#10621883—41no—
669#10621883—41no—
670#10621883—41no—
671#10621883—41no—
672#10621883—41no—
673#10621883—41no—
674#10621882—22no—
675#10621882—22no—
676(C2×D43)⋊C4—21no—
677(C2×D43)⋊C4—21no—
678(C2×D43)⋊C4—21no—
679(C2×D43)⋊C4—21no—
680(C2×D43)⋊C4—21no—
681(C2×D43)⋊C4—21no—
682(C2×D43)⋊C4—21no—
683(C2×D43)⋊C4—21no—
684(C2×D43)⋊C4—21no—
685(C2×D43)⋊C4C2×D411yescharacteristic
686(C2×D43)⋊C4C2×D411yescharacteristic
687(C2×D43)⋊C4C2×D411yescharacteristic
688(C2×D43)⋊C4C2×D411yescharacteristic
689C4⋊Dic43—21no—
690C4⋊Dic43—21no—
691C4⋊Dic43—21no—
692C4⋊Dic43—21no—
693C4⋊Dic43—21no—
694C4⋊Dic43—21no—
695C4⋊Dic43—21no—
696C4⋊Dic43—21no—
697C4⋊Dic43—21no—
698C4⋊Dic43C2×D411yescharacteristic
699C4⋊Dic43C2411yescharacteristic
700C4⋊Dic43C2411yescharacteristic
701C4⋊Dic43C2411yescharacteristic
702C4⋊Dic43C2411yescharacteristic
703Dic43⋊C4—21no—
704Dic43⋊C4—21no—
705Dic43⋊C4—21no—
706Dic43⋊C4—21no—
707Dic43⋊C4—21no—
708Dic43⋊C4—21no—
709Dic43⋊C4—21no—
710Dic43⋊C4—21no—
711Dic43⋊C4—21no—
712Dic43⋊C4—21no—
713Dic43⋊C4—21no—
714Dic43⋊C4C2×D411yescharacteristic
715Dic43⋊C4C2×D411yescharacteristic
716C4×Dic43—21no—
717C4×Dic43—21no—
718C4×Dic43—21no—
719C4×Dic43—21no—
720C4×Dic43—21no—
721C4×Dic43—21no—
722C4×Dic43C2×D411yescharacteristic
723C4×Dic43C2×D411yescharacteristic
724C4×Dic43C2411yescharacteristic
725#10621877—41no—
726C2×C43⋊C8—41no—
727C2×C43⋊C8C2411yescharacteristic
728C2×C43⋊C8C2411yescharacteristic
729C2×C43⋊C8C2411yescharacteristic
730C2×C43⋊C8C2411yescharacteristic
731Dic172—41no—
732Dic172—41no—
733#10621873—22no—
734#10621872—41no—
735#10621872—41no—
736C8×D43—41no—
737C8×D43—41no—
738C23×C43—21no—
739C23×C43—21no—
740C23×C43—21no—
741C23×C43—21no—
742C23×C43—42no—
743C23×C43—81no—
744C23×C43—81no—
745C23×C43C22×D411yescharacteristic
746C23×C43C22×D411yescharacteristic
747C22×D43—21no—
748C22×D43—22no—
749C22×D43—41no—
750C22×D43—41no—
751C22×D43—41no—
752C22×D43—41no—
753C22×D43—41no—
754C22×D43—42no—
755C22×D43—42no—
756C22×D43—42no—
757C22×D43—42no—
758C22×D43—81no—
759C22×D43—81no—
760C22×D43C22×D411yescharacteristic
761C22×D43C22×D411yescharacteristic
762C22×D43C22×D411yescharacteristic
763Q8×C43—21no—
764Q8×C43—21no—
765Q8×C43—21no—
766Q8×C43H(5,𝔽2)12yes—
767D4×C43—21no—
768D4×C43—21no—
769D4×C43—21no—
770D4×C43—21no—
771D4×C43—21no—
772D4×C43—21no—
773D4×C43—21no—
774D4×C43—21no—
775D4×C43—41no—
776D4×C43—42no—
777D4×C43—42no—
778D4×C43—42no—
779D4×C43—81no—
780D4×C43—81no—
781D4×C43—81no—
782D4×C43—81no—
783D4×C43—81no—
784D4×C43—81no—
785C2×C4×C43—21no—
786C2×C4×C43—21no—
787C2×C4×C43—21no—
788C2×C4×C43—21no—
789C2×C4×C43—21no—
790C2×C4×C43—21no—
791C2×C4×C43—21no—
792C2×C4×C43—21no—
793C2×C4×C43—42no—
794C2×C4×C43—42no—
795C2×C4×C43—81no—
796C2×C4×C43—81no—
797C2×C4×C43C22×D411yescharacteristic
798C2×C4×C43C22×D411yescharacteristic
799C2×C4×C43C22×D411yescharacteristic
800C2×C4×C43C22×D411yescharacteristic
801C2×C4×C43C2511yescharacteristic
802C22⋊D43—22no—
803C22⋊D43—41no—
804C22⋊D43—42no—
805C22⋊D43—42no—
806C22⋊D43—42no—
807C22⋊D43—42no—
808C22⋊D43—42no—
809C22⋊D43—42no—
810C22⋊D43—42no—
811C22⋊D43—42no—
812C22⋊D43—42no—
813C22⋊D43—42no—
814C22⋊D43—42no—
815C22⋊D43—42no—
816C22⋊D43—81no—
817C22⋊D43—81no—
818C2×Dic43—21no—
819C2×Dic43—21no—
820C2×Dic43—21no—
821C2×Dic43—21no—
822C2×Dic43—21no—
823C2×Dic43—21no—
824C2×Dic43—21no—
825C2×Dic43—41no—
826C2×Dic43—41no—
827C2×Dic43—42no—
828C2×Dic43—42no—
829C2×Dic43—42no—
830C2×Dic43—81no—
831C2×Dic43—81no—
832C2×Dic43C22×D411yescharacteristic
833C2×Dic43C22×D411yescharacteristic
834C2×Dic43C22×D411yescharacteristic
835C2×Dic43C22×D411yescharacteristic
836C2×Dic43C22×D411yescharacteristic
837D172—24no—
838D172—22no—
839D172—21no—
840D172H(5,𝔽2)12yes—
841C4×D43—24no—
842C4×D43—21no—
843C4×D43—21no—
844C4×D43—21no—
845C4×D43—21no—
846C4×D43—21no—
847C4×D43—21no—
848C4×D43—41no—
849C4×D43—41no—
850C4×D43—41no—
851C4×D43—41no—
852C4×D43—41no—
853C4×D43—41no—
854C4×D43—42no—
855C4×D43—42no—
856C4×D43—42no—
857C4×D43—42no—
858C4×D43—42no—
859C4×D43—81no—
860C4×D43—81no—
861C4×D43—81no—
862Dic86—21no—
863Dic86—21no—
864Dic86—21no—
865Dic86—21no—
866Dic86—21no—
867Dic86—21no—
868Dic86—42no—
869Dic86—42no—
870Dic86—81no—
871C8×C43—21no—
872C8×C43—21no—
873C8×C43—21no—
874C8×C43—21no—
875C43⋊C8—21no—
876C43⋊C8—21no—
877C43⋊C8—21no—
878C43⋊C8—21no—
879#61606—431nomaximal, Sylow
880C22×C43—21no—
881C22×C43—21no—
882C22×C43—21no—
883C22×C43—21no—
884C22×C43—21no—
885C22×C43—21no—
886C22×C43—41no—
887C22×C43—41no—
888C22×C43—41no—
889C22×C43—41no—
890C22×C43—41no—
891C22×C43—41no—
892C22×C43—41no—
893C22×C43—41no—
894C22×C43—41no—
895C22×C43—41no—
896C22×C43—41no—
897C22×C43—41no—
898C22×C43—162no—
899C22×C43C23×D411yescharacteristic
900C2×D43—21no—
901C2×D43—21no—
902C2×D43—21no—
903C2×D43—21no—
904C2×D43—22no—
905C2×D43—21no—
906C2×D43—21no—
907C2×D43—21no—
908C2×D43—21no—
909C2×D43—41no—
910C2×D43—41no—
911C2×D43—82no—
912C2×D43—84no—
913C2×D43—82no—
914C2×D43—84no—
915C2×D43#57512yes—
916C4×C43—21no—
917C4×C43—22no—
918C4×C43—21no—
919C4×C43—21no—
920C4×C43—21no—
921C4×C43—41no—
922C4×C43—41no—
923C4×C43—41no—
924C4×C43C2×H(5,𝔽2)11yescharacteristic
925C4×C43C2×H(5,𝔽2)11yescharacteristic
926Dic43—21no—
927Dic43—21no—
928Dic43—21no—
929Dic43—21no—
930Dic43—21no—
931Dic43—41no—
932Dic43—41no—
933Dic43—41no—
934Dic43—41no—
935Dic43—41no—
936Dic43—41no—
937Dic43—41no—
938#3505—431no—
939D4×#41—431no—
940#3327—431no—
941#3323—431no—
942#3320—431no—
943#3318—431no—
944#3317—431no—
945#3315—431no—
946#3301—431no—
947#3297—431no—
948#3285—431no—
949#3282—431no—
950#3275—431no—
951#3273—431no—
952#3270—431no—
953#3268D4311yescharacteristic, complemented
954#3267—431no—
955#3265—431no—
956#3219—431no—
957#3212—431no—
958#3197—431no—
959#3196—431no—
960#3191—431no—
961#3188—431no—
962#3111—431no—
963#3102—431no—
964#3006—431no—
965#3005—431no—
966#3002—431no—
967C2×#452—431no—
968#2974—431no—
969C2×C43—41no—
970C2×C43—41no—
971C2×C43—81no—
972C2×C43—81no—
973C2×C43—81no—
974C2×C43—81no—
975C2×C43#348411yescharacteristic
976C2×C43C2×#57511yescharacteristic
977C2×C43#358411yescharacteristic
978D43—22no—
979D43—41no—
980D43—41no—
981D43—42no—
982C22×#41—431no—
983C22×#41—431no—
984C2×#137—431no—
985C2×AGL(1,ℤ/8)—431no—
986C2×AGL(1,ℤ/8)—431no—
987C2×AGL(1,ℤ/8)C2×D4311yescharacteristic, complemented
988C2×#135—431no—
989C2×#135C2×D4311yescharacteristic, complemented
990C22×Q16—431no—
991C22×SD16—431no—
992#553—431no—
993#553—431no—
994#553—861no—
995#553—861no—
996#552—431no—
997#552—431no—
998#551—861no—
999#551—861no—
1000#550C2×D4311yescharacteristic
1001D4×Q8—431no—
1002#548—431no—
1003#548—431no—
1004#548—431no—
1005#548—431no—
1006#547—431no—
1007#547—861no—
1008#546—431no—
1009#546—431no—
1010#546—431no—
1011#546—861no—
1012#546—861no—
1013#546C2×D4311yescharacteristic, complemented
1014D42—431no—
1015D42—861no—
1016#539—861no—
1017#538—861no—
1018#534—861no—
1019#532—431no—
1020#532—861no—
1021#529—431no—
1022#529—431no—
1023#525—431no—
1024#525—431no—
1025#525—431no—
1026#525—431no—
1027#525—861no—
1028#525—861no—
1029C2×C22⋊Q8—431no—
1030C2×#121—431no—
1031#518—861no—
1032C4×#41—431no—
1033C2×C4×D4—431no—
1034C2×C4×D4—861no—
1035#497—431no—
1036#496C2×D4311yescharacteristic, complemented
1037#495—431no—
1038#495—431no—
1039#491—431no—
1040#490—431no—
1041#488—431no—
1042#488—431no—
1043#485—431no—
1044#485—431no—
1045#485—431no—
1046#485—431no—
1047#484—431no—
1048#484—431no—
1049#482—431no—
1050#482—431no—
1051#482—431no—
1052#482—431no—
1053#481—431no—
1054#481—431no—
1055#479—431no—
1056#479—431no—
1057#478—431no—
1058#478—431no—
1059#470—431no—
1060#470—431no—
1061#470—431no—
1062#469—431no—
1063#468—431no—
1064#468—431no—
1065#468—431no—
1066#468C2×D4311yescharacteristic, complemented
1067#467—431no—
1068#466—431no—
1069#466—431no—
1070#466C2×D4311yescharacteristic, complemented
1071#465—431no—
1072#465—431no—
1073#465—431no—
1074#465—431no—
1075#464—431no—
1076#464—431no—
1077#464—431no—
1078#464C2×D4311yescharacteristic, complemented
1079#463—431no—
1080#463—431no—
1081#463—431no—
1082#463—431no—
1083#462—431no—
1084#461—431no—
1085#460—431no—
1086#459C2×D4311yescharacteristic, complemented
1087#452—431no—
1088#452—431no—
1089#452—431no—
1090#452—431no—
1091#452—431no—
1092#452—431no—
1093#452—431no—
1094#452—431no—
1095#452—431no—
1096#452—431no—
1097#452—431no—
1098#452—431no—
1099#452—431no—
1100#452C2×D4311yescharacteristic, complemented
1101#451—431no—
1102#451—431no—
1103#450—431no—
1104#450—431no—
1105#449—431no—
1106#449—431no—
1107#449—431no—
1108#449—431no—
1109#449—431no—
1110#449—431no—
1111#449—431no—
1112#449—431no—
1113#449C2×D4311yescharacteristic, complemented
1114#449C2×D4311yescharacteristic, complemented
1115#448—431no—
1116#448—431no—
1117#448—431no—
1118#448—431no—
1119#447—431no—
1120#447—431no—
1121#447—431no—
1122#447C2×D4311yescharacteristic, complemented
1123#442—431no—
1124#441—431no—
1125#440—431no—
1126#440C2×D4311yescharacteristic, complemented
1127C4×Q16—431no—
1128C4×SD16—431no—
1129C4×SD16—431no—
1130C4×D8—431no—
1131#436—431no—
1132#436—431no—
1133#435—431no—
1134#435—431no—
1135#435—431no—
1136#435C2×D4311yescharacteristic, complemented
1137C8×D4—431no—
1138C8×D4—431no—
1139#432—431no—
1140#431—431no—
1141#419—431no—
1142#418—431no—
1143#417—431no—
1144#417—431no—
1145#416—431no—
1146#416—431no—
1147C2×#103—431no—
1148C2×#102—431no—
1149#407—431no—
1150#407—431no—
1151C2×C22⋊C8—431no—
1152C2×C22⋊C8—431no—
1153C43#6160611yescharacteristic, complemented, Sylow
1154C2×#41—431no—
1155C2×#41—431no—
1156C2×#41—431no—
1157C2×#41—431no—
1158C2×#41—431no—
1159C2×#41—431no—
1160C2×#41—861no—
1161C2×#41—861no—
1162C2×#41—861no—
1163C2×#41—861no—
1164C2×#41—1722no—
1165C2×#41—1722no—
1166C2×#41—1722no—
1167C2×#41—1722no—
1168C2×#41C22×D4311yescharacteristic
1169C2×#41C22×D4311yescharacteristic
1170C2×#41C22×D4311yescharacteristic
1171C22×Q8—431no—
1172C22×Q8—431no—
1173C22×Q8—431no—
1174C22×D4—431no—
1175C22×D4—431no—
1176C22×D4—431no—
1177C22×D4—861no—
1178C22×D4—861no—
1179C22×D4—861no—
1180C22×D4—861no—
1181C22×D4C22×D4311yescharacteristic
1182C23×C4—431no—
1183C23×C4—431no—
1184C23×C4—861no—
1185C23×C4—861no—
1186#137—1722no—
1187AGL(1,ℤ/8)—42no—
1188AGL(1,ℤ/8)—1722no—
1189AGL(1,ℤ/8)—1722no—
1190#135—42no—
1191#135—1722no—
1192C2×Q16—431no—
1193C2×Q16—431no—
1194C2×Q16—431no—
1195C2×Q16—431no—
1196C2×Q16—431no—
1197C2×Q16—1722no—
1198C2×Q16C22×D4311yescharacteristic
1199C2×SD16—431no—
1200C2×SD16—431no—
1201C2×SD16—431no—
1202C2×SD16—431no—
1203C2×SD16—431no—
1204C2×SD16—431no—
1205C2×SD16—431no—
1206C2×SD16—431no—
1207C2×SD16—1722no—
1208C2×SD16C22×D4311yescharacteristic
1209C2×SD16C22×D4311yescharacteristic
1210C2×SD16C22×D4311yescharacteristic
1211C2×SD16C22×D4311yescharacteristic
1212C2×D8—431no—
1213C2×D8—431no—
1214C2×D8C22×D4311yescharacteristic
1215C2×D8C22×D4311yescharacteristic
1216C2×D8C22×D4311yescharacteristic
1217C2×D8C22×D4311yescharacteristic
1218C2×M16—431no—
1219C2×M16—431no—
1220C2×M16—431no—
1221C2×M16C22×D4311yescharacteristic
1222C22×C8—431no—
1223C22×C8—431no—
1224C22×C8—431no—
1225C22×C8C22×D4311yescharacteristic
1226C4⋊Q8—431no—
1227C4⋊Q8—861no—
1228#127—21no—
1229#127C22×D4311yescharacteristic
1230#126—861no—
1231#126—861no—
1232#126—861no—
1233#126—861no—
1234#126—861no—
1235#126—861no—
1236#125—431no—
1237#125—431no—
1238#125—861no—
1239#125—861no—
1240#124—431no—
1241#124—431no—
1242#124—431no—
1243#124—861no—
1244#124—861no—
1245#124—861no—
1246#124—861no—
1247#124C22×D4311yescharacteristic
1248#123—21no—
1249#123—861no—
1250#123—861no—
1251#123—861no—
1252#123—861no—
1253#123—861no—
1254#123—861no—
1255#123—861no—
1256#123—861no—
1257#123—861no—
1258#123—861no—
1259#123—861no—
1260#123—861no—
1261#123—861no—
1262#123—861no—
1263#123—861no—
1264C22⋊Q8—431no—
1265C22⋊Q8—431no—
1266C22⋊Q8—431no—
1267C22⋊Q8—431no—
1268C22⋊Q8—431no—
1269C22⋊Q8—431no—
1270C22⋊Q8—431no—
1271C22⋊Q8—431no—
1272C22⋊Q8—431no—
1273C22⋊Q8—861no—
1274C22⋊Q8—861no—
1275C22⋊Q8—861no—
1276C22⋊Q8—861no—
1277C22⋊Q8—861no—
1278C22⋊Q8—861no—
1279C22⋊Q8—861no—
1280C22⋊Q8—861no—
1281C22⋊Q8C22×D4311yescharacteristic
1282#121—21no—
1283#121—21no—
1284#121—21no—
1285#121—431no—
1286#121—431no—
1287#121—431no—
1288#121—431no—
1289#121—431no—
1290#121—431no—
1291#121—431no—
1292#121—861no—
1293#121—861no—
1294#121—861no—
1295#121—861no—
1296#121—861no—
1297#121—861no—
1298#121—861no—
1299#121—861no—
1300#121—861no—
1301#121—861no—
1302#121—861no—
1303#121—861no—
1304#121—861no—
1305#121—861no—
1306#121—861no—
1307#121C22×D4311yescharacteristic
1308#121C22×D4311yescharacteristic
1309#121C22×D4311yescharacteristic
1310#120—21no—
1311#120—861no—
1312#120—861no—
1313#120—861no—
1314#120—861no—
1315#120—861no—
1316#120—861no—
1317#120—861no—
1318#120—861no—
1319#120—861no—
1320C4×Q8—431no—
1321C4×Q8—431no—
1322C4×Q8—431no—
1323C4×Q8C22×D4311yescharacteristic
1324C4×D4—21no—
1325C4×D4—431no—
1326C4×D4—431no—
1327C4×D4—431no—
1328C4×D4—431no—
1329C4×D4—431no—
1330C4×D4—431no—
1331C4×D4—431no—
1332C4×D4—431no—
1333C4×D4—431no—
1334C4×D4—431no—
1335C4×D4—861no—
1336C4×D4—861no—
1337C4×D4—861no—
1338C4×D4—861no—
1339C4×D4—861no—
1340C4×D4—861no—
1341C4×D4—861no—
1342C4×D4—861no—
1343C4×D4—861no—
1344C4×D4—861no—
1345C4×D4—861no—
1346C4×D4—861no—
1347C4×D4—861no—
1348C4×D4—861no—
1349C4×D4—861no—
1350C4×D4—861no—
1351C4×D4—861no—
1352C4×D4—861no—
1353C4×D4—861no—
1354C4×D4—861no—
1355C4×D4—861no—
1356C4×D4C22×D4311yescharacteristic
1357C4×D4C22×D4311yescharacteristic
1358#117—431no—
1359#117—431no—
1360#117—431no—
1361#117—861no—
1362#117—861no—
1363#117—861no—
1364#117—861no—
1365#117—861no—
1366C2×C4⋊C4—431no—
1367C2×C4⋊C4—431no—
1368C2×C4⋊C4—431no—
1369C2×C4⋊C4—861no—
1370C2×C4⋊C4—861no—
1371C2×C22⋊C4—21no—
1372C2×C22⋊C4—431no—
1373C2×C22⋊C4—431no—
1374C2×C22⋊C4—861no—
1375C2×C22⋊C4—861no—
1376C2×C22⋊C4—861no—
1377C2×C22⋊C4—861no—
1378C2×C22⋊C4—861no—
1379C2×C42—431no—
1380C2×C42—861no—
1381#107—431no—
1382#107—431no—
1383#107—431no—
1384#107C22×D4311yescharacteristic
1385#106—431no—
1386#106—431no—
1387#106—431no—
1388#106—431no—
1389C4⋊C8—431no—
1390C4⋊C8—431no—
1391C4⋊C8—431no—
1392C4⋊C8C22×D4311yescharacteristic
1393#103—431no—
1394#103—431no—
1395#103—431no—
1396#103—431no—
1397#103—431no—
1398#103—431no—
1399#103—431no—
1400#103—431no—
1401#103—431no—
1402#103—431no—
1403#103—431no—
1404#103—431no—
1405#103—431no—
1406#103—431no—
1407#103C22×D4311yescharacteristic
1408#103C22×D4311yescharacteristic
1409#102—431no—
1410#102—431no—
1411#102—431no—
1412#102—431no—
1413#102—431no—
1414#102—431no—
1415#102—431no—
1416#102—431no—
1417#102—431no—
1418#102—431no—
1419#102—431no—
1420#102—431no—
1421#102C22×D4311yescharacteristic
1422#102C22×D4311yescharacteristic
1423#102C22×D4311yescharacteristic
1424#102C22×D4311yescharacteristic
1425C22⋊C8—431no—
1426C22⋊C8—431no—
1427C22⋊C8—431no—
1428C22⋊C8—431no—
1429C22⋊C8—431no—
1430C22⋊C8—431no—
1431C22⋊C8—431no—
1432C22⋊C8—431no—
1433C22⋊C8—431no—
1434C22⋊C8—431no—
1435C22⋊C8C22×D4311yescharacteristic
1436C22⋊C8C22×D4311yescharacteristic
1437#97—431no—
1438#97C22×D4311yescharacteristic
1439C4×C8—431no—
1440C4×C8—431no—
1441C24—21no—
1442C24—431no—
1443C24—431no—
1444C24—861no—
1445C24—861no—
1446#41—22no—
1447#41—22no—
1448#41—41no—
1449#41—41no—
1450#41—41no—
1451#41—41no—
1452#41—862no—
1453#41—862no—
1454#41—862no—
1455#41—862no—
1456#41—1721no—
1457#41—1721no—
1458#41—1724no—
1459#41—1724no—
1460#41—1721no—
1461#41—1721no—
1462#41—1721no—
1463#41—1721no—
1464#41—1721no—
1465#41—1721no—
1466#41—1724no—
1467#41—1724no—
1468C2×Q8—431no—
1469C2×Q8—431no—
1470C2×Q8—431no—
1471C2×Q8—861no—
1472C2×Q8—861no—
1473C2×Q8—861no—
1474C2×Q8—862no—
1475C2×Q8—862no—
1476C2×Q8—1721no—
1477C2×Q8—1721no—
1478C2×Q8—1721no—
1479C2×Q8—1721no—
1480C2×Q8C23×D4311yescharacteristic
1481C2×Q8C23×D4311yescharacteristic
1482C2×D4—21no—
1483C2×D4—21no—
1484C2×D4—21no—
1485C2×D4—21no—
1486C2×D4—21no—
1487C2×D4—21no—
1488C2×D4—21no—
1489C2×D4—21no—
1490C2×D4—21no—
1491C2×D4—41no—
1492C2×D4—41no—
1493C2×D4—431no—
1494C2×D4—431no—
1495C2×D4—431no—
1496C2×D4—431no—
1497C2×D4—861no—
1498C2×D4—861no—
1499C2×D4—861no—
1500C2×D4—862no—
1501C2×D4—862no—
1502C2×D4—861no—
1503C2×D4—861no—
1504C2×D4—861no—
1505C2×D4—861no—
1506C2×D4—861no—
1507C2×D4—861no—
1508C2×D4—861no—
1509C2×D4—861no—
1510C2×D4—861no—
1511C2×D4—861no—
1512C2×D4—861no—
1513C2×D4—861no—
1514C2×D4—1721no—
1515C2×D4—1721no—
1516C2×D4—1722no—
1517C2×D4—1724no—
1518C2×D4—1724no—
1519C2×D4—1724no—
1520C2×D4—1724no—
1521C2×D4D4×D4311yescharacteristic
1522C2×D4C23×D4311yescharacteristic
1523C2×D4C23×D4311yescharacteristic
1524C2×D4C23×D4311yescharacteristic
1525C2×D4C23×D4311yescharacteristic
1526C22×C4—21no—
1527C22×C4—21no—
1528C22×C4—21no—
1529C22×C4—21no—
1530C22×C4—431no—
1531C22×C4—431no—
1532C22×C4—431no—
1533C22×C4—431no—
1534C22×C4—431no—
1535C22×C4—431no—
1536C22×C4—431no—
1537C22×C4—431no—
1538C22×C4—431no—
1539C22×C4—431no—
1540C22×C4—431no—
1541C22×C4—861no—
1542C22×C4—861no—
1543C22×C4—861no—
1544C22×C4—861no—
1545C22×C4—861no—
1546C22×C4—861no—
1547C22×C4—861no—
1548C22×C4—861no—
1549C22×C4—861no—
1550C22×C4—861no—
1551C22×C4—861no—
1552C22×C4—861no—
1553C22×C4—861no—
1554C22×C4—861no—
1555C22×C4—1721no—
1556C22×C4—1721no—
1557C22×C4—1721no—
1558C22×C4—1721no—
1559C22×C4—1724no—
1560C22×C4—1724no—
1561C22×C4C23×D4311yescharacteristic
1562C22×C4C23×D4311yescharacteristic
1563Q16—22no—
1564Q16—862no—
1565Q16—1721no—
1566Q16—1721no—
1567Q16—1721no—
1568Q16—1721no—
1569SD16—22no—
1570SD16—22no—
1571SD16—41no—
1572SD16—41no—
1573SD16—862no—
1574SD16—862no—
1575SD16—1721no—
1576SD16—1721no—
1577SD16—1721no—
1578SD16—1721no—
1579SD16—1721no—
1580SD16—1721no—
1581D8—41no—
1582D8—41no—
1583D8—41no—
1584D8—41no—
1585D8—862no—
1586D8—862no—
1587M16—41no—
1588M16—1721no—
1589M16—1721no—
1590M16—1721no—
1591C2×C8—41no—
1592C2×C8—431no—
1593C2×C8—431no—
1594C2×C8—431no—
1595C2×C8—431no—
1596C2×C8—1721no—
1597C2×C8—1721no—
1598C2×C8—1721no—
1599C2×C8C23×D4311yescharacteristic
1600C2×C8C23×D4311yescharacteristic
1601C2×C8C23×D4311yescharacteristic
1602C2×C8C23×D4311yescharacteristic
1603C4⋊C4—21no—
1604C4⋊C4—21no—
1605C4⋊C4—431no—
1606C4⋊C4—431no—
1607C4⋊C4—431no—
1608C4⋊C4—431no—
1609C4⋊C4—431no—
1610C4⋊C4—431no—
1611C4⋊C4—431no—
1612C4⋊C4—861no—
1613C4⋊C4—861no—
1614C4⋊C4—861no—
1615C4⋊C4—861no—
1616C4⋊C4—861no—
1617C4⋊C4—861no—
1618C4⋊C4—861no—
1619C4⋊C4—861no—
1620C4⋊C4—861no—
1621C4⋊C4—861no—
1622C4⋊C4—861no—
1623C4⋊C4—861no—
1624C4⋊C4—861no—
1625C4⋊C4—861no—
1626C4⋊C4—861no—
1627C4⋊C4—861no—
1628C4⋊C4—861no—
1629C4⋊C4—861no—
1630C4⋊C4—861no—
1631C4⋊C4—861no—
1632C4⋊C4D4×D4311yescharacteristic
1633C4⋊C4C23×D4311yescharacteristic
1634C4⋊C4C23×D4311yescharacteristic
1635C22⋊C4—21no—
1636C22⋊C4—21no—
1637C22⋊C4—21no—
1638C22⋊C4—21no—
1639C22⋊C4—21no—
1640C22⋊C4—21no—
1641C22⋊C4—21no—
1642C22⋊C4—431no—
1643C22⋊C4—431no—
1644C22⋊C4—431no—
1645C22⋊C4—431no—
1646C22⋊C4—431no—
1647C22⋊C4—431no—
1648C22⋊C4—861no—
1649C22⋊C4—861no—
1650C22⋊C4—861no—
1651C22⋊C4—861no—
1652C22⋊C4—861no—
1653C22⋊C4—861no—
1654C22⋊C4—861no—
1655C22⋊C4—861no—
1656C22⋊C4—861no—
1657C22⋊C4—861no—
1658C22⋊C4—861no—
1659C22⋊C4—861no—
1660C22⋊C4—861no—
1661C22⋊C4—861no—
1662C22⋊C4—861no—
1663C22⋊C4—861no—
1664C22⋊C4—861no—
1665C22⋊C4—861no—
1666C22⋊C4—861no—
1667C22⋊C4—861no—
1668C22⋊C4—861no—
1669C22⋊C4—861no—
1670C22⋊C4—861no—
1671C22⋊C4—861no—
1672C22⋊C4—861no—
1673C22⋊C4—861no—
1674C22⋊C4—861no—
1675C22⋊C4—861no—
1676C22⋊C4D4×D4311yescharacteristic
1677C22⋊C4D4×D4311yescharacteristic
1678C42—21no—
1679C42—431no—
1680C42—431no—
1681C42—431no—
1682C42—861no—
1683C42—861no—
1684C42—861no—
1685C42—861no—
1686C42—861no—
1687C42—861no—
1688C42C23×D4311yescharacteristic
1689C23—21no—
1690C23—21no—
1691C23—21no—
1692C23—21no—
1693C23—42no—
1694C23—81no—
1695C23—81no—
1696C23—431no—
1697C23—431no—
1698C23—431no—
1699C23—862no—
1700C23—861no—
1701C23—3441no—
1702C23—3441no—
1703C23—1721no—
1704C23—1721no—
1705C23—1721no—
1706C23—1721no—
1707C23—1721no—
1708C23—1722no—
1709C23—1722no—
1710C23—1722no—
1711C23—1722no—
1712C23C2×D4×D4311yescharacteristic
1713C23C2×D4×D4311yescharacteristic
1714Q8—21no—
1715Q8—21no—
1716Q8—21no—
1717Q8—861no—
1718Q8—861no—
1719Q8—861no—
1720Q8—861no—
1721Q8—861no—
1722Q8—861no—
1723Q8—3441no—
1724Q8—1722no—
1725Q8—1722no—
1726Q8#1306337012yes—
1727D4—21no—
1728D4—21no—
1729D4—21no—
1730D4—21no—
1731D4—21no—
1732D4—21no—
1733D4—21no—
1734D4—21no—
1735D4—41no—
1736D4—42no—
1737D4—42no—
1738D4—42no—
1739D4—81no—
1740D4—81no—
1741D4—81no—
1742D4—81no—
1743D4—81no—
1744D4—81no—
1745D4—432no—
1746D4—862no—
1747D4—864no—
1748D4—862no—
1749D4—861no—
1750D4—3441no—
1751D4—3441no—
1752D4—1721no—
1753D4—1722no—
1754D4—1722no—
1755D4—1722no—
1756D4—1722no—
1757D4—1722no—
1758D4—1722no—
1759D4—1722no—
1760D4—1722no—
1761D4—1722no—
1762D4—1722no—
1763D4—1722no—
1764D4—1722no—
1765C2×C4—21no—
1766C2×C4—21no—
1767C2×C4—21no—
1768C2×C4—21no—
1769C2×C4—21no—
1770C2×C4—21no—
1771C2×C4—21no—
1772C2×C4—21no—
1773C2×C4—42no—
1774C2×C4—42no—
1775C2×C4—81no—
1776C2×C4—81no—
1777C2×C4—431no—
1778C2×C4—431no—
1779C2×C4—431no—
1780C2×C4—431no—
1781C2×C4—431no—
1782C2×C4—864no—
1783C2×C4—861no—
1784C2×C4—861no—
1785C2×C4—861no—
1786C2×C4—861no—
1787C2×C4—861no—
1788C2×C4—861no—
1789C2×C4—861no—
1790C2×C4—861no—
1791C2×C4—861no—
1792C2×C4—861no—
1793C2×C4—861no—
1794C2×C4—861no—
1795C2×C4—861no—
1796C2×C4—3441no—
1797C2×C4—3441no—
1798C2×C4—3441no—
1799C2×C4—3441no—
1800C2×C4—3441no—
1801C2×C4—1721no—
1802C2×C4—1721no—
1803C2×C4—1721no—
1804C2×C4—1721no—
1805C2×C4—1721no—
1806C2×C4—1721no—
1807C2×C4—1722no—
1808C2×C4—1722no—
1809C2×C4—1722no—
1810C2×C4—1722no—
1811C2×C4—1722no—
1812C2×C4—1721no—
1813C2×C4—1721no—
1814C2×C4—1722no—
1815C2×C4—1722no—
1816C2×C4—1722no—
1817C2×C4C2×D4×D4311yescharacteristic
1818C2×C4C2×D4×D4311yescharacteristic
1819C2×C4C2×D4×D4311yescharacteristic
1820C2×C4C2×D4×D4311yescharacteristic
1821C2×C4C24×D4311yescharacteristic
1822C8—21no—
1823C8—21no—
1824C8—21no—
1825C8—21no—
1826C8—861no—
1827C8—861no—
1828C8—861no—
1829C8—861no—
1830C22—21no—
1831C22—21no—
1832C22—21no—
1833C22—21no—
1834C22—21no—
1835C22—21no—
1836C22—41no—
1837C22—41no—
1838C22—41no—
1839C22—41no—
1840C22—41no—
1841C22—41no—
1842C22—41no—
1843C22—41no—
1844C22—41no—
1845C22—41no—
1846C22—41no—
1847C22—41no—
1848C22—162no—
1849C22—432no—
1850C22—861no—
1851C22—861no—
1852C22—861no—
1853C22—861no—
1854C22—861no—
1855C22—861no—
1856C22—861no—
1857C22—862no—
1858C22—861no—
1859C22—3442no—
1860C22—3442no—
1861C22—3444no—
1862C22—3444no—
1863C22—1721no—
1864C22—1721no—
1865C22C22×D4×D4311yescharacteristic
1866C4—21no—
1867C4—21no—
1868C4—21no—
1869C4—21no—
1870C4—22no—
1871C4—41no—
1872C4—41no—
1873C4—41no—
1874C4—861no—
1875C4—861no—
1876C4—861no—
1877C4—861no—
1878C4—861no—
1879C4—1721no—
1880C4—1721no—
1881C4—1721no—
1882C4—1721no—
1883C4—1721no—
1884C4—1721no—
1885C4—1721no—
1886C4H(5,𝔽2)×D4311yescharacteristic
1887C4C2×#1306337011yescharacteristic
1888C2—41no—
1889C2—41no—
1890C2—81no—
1891C2—81no—
1892C2—81no—
1893C2—81no—
1894C2—862no—
1895C2—1721no—
1896C2—1721no—
1897C2—1722no—
1898C2#1914822311yescharacteristic
1899C2#575×D4311yescharacteristic
1900C2#1914936311yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3268C2
socleC22×C43C23×D4
hypercenter#3268D43
hypocenterC43#61606
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3268

Complements

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

NH ≅ G/Ntype
1. #19148422C2semidirect
2. #19148085C2semidirect
3. #19146856C2semidirect
4. #19146806C2semidirect
5. #19146771C2semidirect
6. #19146743C2semidirect
7. #19146721C2semidirect
8. #19146693C2semidirect
9. #19146490C2semidirect
10. #19146440C2semidirect
11. #19146330C2semidirect
12. #19146305C2semidirect
13. #19146226C2semidirect
14. #19146206C2semidirect
15. #19146160C2semidirect
16. #19146116C2semidirect
17. #19146089C2semidirect
18. #19145627C2semidirect
19. #19145569C2semidirect
20. #19145434C2semidirect
21. #19145420C2semidirect
22. #19145382C2semidirect
23. #19145357C2semidirect
24. #19144702C2semidirect
25. #19144612C2semidirect
26. #19143843C2semidirect
27. #19143833C2semidirect
28. #19143809C2semidirect
29. #452×D43C2semidirect
30. #19143625C2semidirect
31. C43×#3268C2semidirect
33. C2×#41×D43C22semidirect
34. C2×#13063354C22semidirect
35. C2×#13063351C22semidirect
36. C2×#13063349C22semidirect
37. C2×#13063345C22semidirect
38. C2×Q16×D43C22semidirect
39. C2×SD16×D43C22semidirect
42. #14583596C22semidirect
44. #14583591C22semidirect
45. #14583589C22semidirect
48. Q8×D172C22semidirect
51. #14583556C22semidirect
52. #14583556C22semidirect
58. #14583546C22semidirect
59. #14583543C22semidirect
61. #14583534C22semidirect
66. #14583447C22semidirect
67. #14583431C22semidirect
68. #14583428C22semidirect
72. #14583409C22semidirect
73. #14583409C22semidirect
74. #14583406C22semidirect
75. C22⋊Q8×D43C22semidirect
76. C2×#13063296C22semidirect
78. C4×#10621902C22semidirect
81. #14583294C22semidirect
82. #14583282C22semidirect
83. #14583282C22semidirect
84. #14583268C22semidirect
85. #14583263C22semidirect
86. #14583252C22semidirect
87. #14583252C22semidirect
88. #14583242C22semidirect
89. #14583242C22semidirect
90. #14583241C22semidirect
91. #14583238C22semidirect
92. #14583236C22semidirect
93. #14583235C22semidirect
94. #14583221C22semidirect
95. #14583221C22semidirect
96. #14583221C22semidirect
97. #14583220C22semidirect
98. #14583216C22semidirect
99. #14583215C22semidirect
100. #14583208C22semidirect
101. #14583206C22semidirect
102. #14583202C22semidirect
103. #14583200C22semidirect
104. #14583157C22semidirect
105. #14583156C22semidirect
106. #14583155C22semidirect
107. #14583149C22semidirect
108. #14583144C22semidirect
109. #14583143C22semidirect
110. #14583142C22semidirect
111. #14583140C22semidirect
112. #14583132C22semidirect
113. #14583132C22semidirect
114. #14583127C22semidirect
115. #14583127C22semidirect
116. #14583126C22semidirect
117. #14583126C22semidirect
118. #14583119C22semidirect
119. #14583119C22semidirect
120. #14583119C22semidirect
121. #14583113C22semidirect
122. #14583112C22semidirect
123. #14583112C22semidirect
124. #14583111C22semidirect
125. #14583110C22semidirect
126. #14583104C22semidirect
127. #14583096C22semidirect
128. #14583064C22semidirect
129. #14583063C22semidirect
130. #14583063C22semidirect
131. #14583062C22semidirect
132. #14583062C22semidirect
133. #14583062C22semidirect
134. #14583061C22semidirect
135. #14583061C22semidirect
136. #14583061C22semidirect
137. #14583060C22semidirect
138. #14583059C22semidirect
139. #14583058C22semidirect
140. #14583058C22semidirect
141. #14583056C22semidirect
142. #14583053C22semidirect
143. #14583050C22semidirect
144. #14583048C22semidirect
147. #14583042C22semidirect
148. #14583041C22semidirect
149. #14583041C22semidirect
150. #14583041C22semidirect
151. #14583041C22semidirect
152. #14583041C22semidirect
153. #14583036C22semidirect
154. #14583036C22semidirect
155. #14583036C22semidirect
156. #14583036C22semidirect
157. #14583031C22semidirect
158. #14583031C22semidirect
159. #14583031C22semidirect
160. #14583009C22semidirect
161. #14583004C22semidirect
162. #14583001C22semidirect
163. Q16×Dic43C22semidirect
164. SD16×Dic43C22semidirect
165. #14582984C22semidirect
166. #14582979C22semidirect
167. #14582975C22semidirect
168. #14582974C22semidirect
169. #14582972C22semidirect
170. #14582971C22semidirect
171. #14582969C22semidirect
172. C8×C22⋊D43C22semidirect
173. (C22⋊D43)⋊C8C22semidirect
174. #14582954C22semidirect
175. #14582951C22semidirect
176. #14582906C22semidirect
177. #14582902C22semidirect
178. #14582901C22semidirect
179. #14582900C22semidirect
180. #14582896C22semidirect
181. #14582895C22semidirect
182. #103×D43C22semidirect
183. #102×D43C22semidirect
184. #14582862C22semidirect
185. #14582861C22semidirect
186. C2×(C2×D43)⋊C8C22semidirect
187. C22⋊C8×D43C22semidirect
188. C2×AGL(1,ℤ/8)×C43C22semidirect
189. C2×#135×C43C22semidirect
191. C43×#546C22semidirect
192. C43×#496C22semidirect
193. C43×#468C22semidirect
194. C43×#466C22semidirect
195. C43×#464C22semidirect
196. C43×#459C22semidirect
197. C43×#452C22semidirect
198. C43×#449C22semidirect
199. C43×#449C22semidirect
200. C43×#447C22semidirect
201. C43×#440C22semidirect
202. C43×#435C22semidirect
953. #3268D43semidirect
987. C2×AGL(1,ℤ/8)C2×D43semidirect
989. C2×#135C2×D43semidirect
1013. #546C2×D43semidirect
1036. #496C2×D43semidirect
1066. #468C2×D43semidirect
1070. #466C2×D43semidirect
1078. #464C2×D43semidirect
1086. #459C2×D43semidirect
1100. #452C2×D43semidirect
1113. #449C2×D43semidirect
1114. #449C2×D43semidirect
1122. #447C2×D43semidirect
1126. #440C2×D43semidirect
1136. #435C2×D43semidirect
1153. C43#61606semidirect

Maximal subgroups

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

subgroupindex
#191484222
#191480852
#191468562
#191468062
#191467712
#191467432
#191467212
#191466932
#191464902
#191464402
#191463302
#191463052
#191462262
#191462062
#191461602
#191461162
#191460892
#191456272
#191455692
#191454342
#191454202
#191453822
#191453572
#191447022
#191446122
#191438432
#191438332
#191438092
#452×D432
#191436252
C43×#32682
#6160643