Finite Group Databasebeta

← #25983481

Subgroups — #25983481

Order 11008.

2082 conjugacy classes of subgroups.

The subgroup lattice has 1896 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19148963C211yesmaximal, characteristic, complemented
2#19148363C211yesmaximal, characteristic, complemented
3#19146761C211yesmaximal, characteristic, complemented
4#19146759C211yesmaximal, characteristic, complemented
5#19146663C211yesmaximal, characteristic, complemented
6#19146661C211yesmaximal, characteristic, complemented
7#19146607C211yesmaximal, characteristic, complemented
8#19146605C211yesmaximal, characteristic, complemented
9#19146593C211yesmaximal, characteristic, complemented
10#19146591C211yesmaximal, characteristic, complemented
11#19146179C211yesmaximal, characteristic, complemented
12#19146175C211yesmaximal, characteristic, complemented
13#19146133C211yesmaximal, characteristic, complemented
14#19146129C211yesmaximal, characteristic, complemented
15#19146109C211yesmaximal, characteristic, complemented
16#19146105C211yesmaximal, characteristic, complemented
17#19146086C211yesmaximal, characteristic, complemented
18#19145631C211yesmaximal, characteristic, complemented
19#19145585C211yesmaximal, characteristic, complemented
20#19145493C211yesmaximal, characteristic, complemented
21#19145491C211yesmaximal, characteristic, complemented
22#19145451C211yesmaximal, characteristic, complemented
23#19145443C211yesmaximal, characteristic, complemented
24#19144764C211yesmaximal, characteristic, complemented
25#19144716C211yesmaximal, characteristic, complemented
26#19143908C211yesmaximal, characteristic, complemented
27#19143905C211yesmaximal, characteristic, complemented
28#19143880C211yesmaximal, characteristic, complemented
29#19143877C211yesmaximal, characteristic, complemented
30#19143663C211yesmaximal, characteristic, complemented
31C43×#3265C211yesmaximal, characteristic, complemented
32C2×#13063373C2211yescharacteristic, complemented
33C2×#13063372C2211yescharacteristic, complemented
34C2×#13063354C2211yescharacteristic, complemented
35C2×#13063354C2211yescharacteristic, complemented
36C2×#13063351C2211yescharacteristic
37C2×#13063346C2211yescharacteristic, complemented
38C2×#13063344C2211yescharacteristic, complemented
39C22×#10621883C2211yescharacteristic
40#14583638—21no—
41#14583638—21no—
42#14583619C2211yescharacteristic
43#14583596C2211yescharacteristic
44#14583596C2211yescharacteristic
45#14583569C2211yescharacteristic
46#14583568C2211yescharacteristic, complemented
47#14583567—21no—
48#14583567—21no—
49#14583567C2211yescharacteristic, complemented
50Q8×C22⋊D43C2211yescharacteristic, complemented
51#14583562—21no—
52#14583562C2211yescharacteristic, complemented
53#14583561C2211yescharacteristic, complemented
54#14583558—21no—
55#14583558C2211yescharacteristic
56#14583557—21no—
57#14583557C2211yescharacteristic, complemented
58#14583554C2211yescharacteristic
59#14583543—21no—
60#14583543C2211yescharacteristic
61#14583543C2211yescharacteristic
62#14583516—21no—
63#14583484—21no—
64#14583484—21no—
65#14583479—21no—
66#14583479C2211yescharacteristic, complemented
67#14583478—21no—
68#14583478C2211yescharacteristic
69#14583478C2211yescharacteristic
70#14583478C2211yescharacteristic, complemented
71#14583466—21no—
72#14583466C2211yescharacteristic
73#14583466C2211yescharacteristic
74#14583448—21no—
75#14583448C2211yescharacteristic, complemented
76#14583447C2211yescharacteristic
77#14583446—21no—
78#14583446C2211yescharacteristic
79#14583431C2211yescharacteristic
80C4×Q8×D43C2211yescharacteristic, complemented
81#14583290C2211yescharacteristic
82#14583287C2211yescharacteristic
83#14583286C2211yescharacteristic
84#14583266C2211yescharacteristic, complemented
85#14583262C2211yescharacteristic, complemented
86#14583259C2211yescharacteristic, complemented
87#14583258C2211yescharacteristic, complemented
88#14583241C2211yescharacteristic, complemented
89#14583237C2211yescharacteristic, complemented
90#14583236C2211yescharacteristic, complemented
91#14583236C2211yescharacteristic, complemented
92#14583233C2211yescharacteristic, complemented
93#14583224C2211yescharacteristic, complemented
94#14583220C2211yescharacteristic, complemented
95#14583216C2211yescharacteristic
96#14583214C2211yescharacteristic, complemented
97#14583211C2211yescharacteristic, complemented
98#14583211C2211yescharacteristic, complemented
99#14583211C2211yescharacteristic, complemented
100#14583205C2211yescharacteristic, complemented
101#14583204C2211yescharacteristic, complemented
102#14583195C2211yescharacteristic, complemented
103#14583194C2211yescharacteristic, complemented
104#14583151C2211yescharacteristic, complemented
105#14583149C2211yescharacteristic, complemented
106#14583145C2211yescharacteristic, complemented
107#14583144C2211yescharacteristic
108#14583143C2211yescharacteristic
109#14583143C2211yescharacteristic, complemented
110#14583142C2211yescharacteristic
111#14583140C2211yescharacteristic, complemented
112#14583138C2211yescharacteristic, complemented
113#14583134C2211yescharacteristic
114#14583133C2211yescharacteristic
115#14583132C2211yescharacteristic
116#14583127C2211yescharacteristic, complemented
117#14583125C2211yescharacteristic, complemented
118#14583122C2211yescharacteristic, complemented
119#14583120C2211yescharacteristic
120#14583119C2211yescharacteristic
121#14583118C2211yescharacteristic, complemented
122#14583114C2211yescharacteristic
123#14583102C2211yescharacteristic, complemented
124#14583102C2211yescharacteristic, complemented
125#14583096C2211yescharacteristic
126#14583092C2211yescharacteristic, complemented
127#14583092C2211yescharacteristic, complemented
128#14583064C2211yescharacteristic, complemented
129#14583063C2211yescharacteristic, complemented
130#14583062C2211yescharacteristic, complemented
131#14583062C2211yescharacteristic, complemented
132#14583061C2211yescharacteristic, complemented
133#14583058C2211yescharacteristic, complemented
134#14583057C2211yescharacteristic, complemented
135#14583056C2211yescharacteristic, complemented
136#14583055C2211yescharacteristic, complemented
137#14583050C2211yescharacteristic
138#14583045C2211yescharacteristic, complemented
139#14583043C2211yescharacteristic
140#14583043C2211yescharacteristic
141#14583043C2211yescharacteristic, complemented
142#14583043C2211yescharacteristic, complemented
143#14583043C2211yescharacteristic, complemented
144#14583042C2211yescharacteristic
145#14583041C2211yescharacteristic
146#14583041C2211yescharacteristic
147#14583041C2211yescharacteristic, complemented
148#14583041C2211yescharacteristic, complemented
149#14583041C2211yescharacteristic, complemented
150#14583041C2211yescharacteristic, complemented
151#14583037C2211yescharacteristic
152#14583036C2211yescharacteristic
153#14583036C2211yescharacteristic
154#14583036C2211yescharacteristic
155#14583036C2211yescharacteristic, complemented
156#14583036C2211yescharacteristic, complemented
157#14583036C2211yescharacteristic, complemented
158#14583036C2211yescharacteristic, complemented
159#14583033C2211yescharacteristic
160#14583007C2211yescharacteristic, complemented
161#14583004C2211yescharacteristic, complemented
162#14583000C2211yescharacteristic, complemented
163#14583000C2211yescharacteristic, complemented
164#14582999C2211yescharacteristic
165#14582996C2211yescharacteristic, complemented
166#14582996C2211yescharacteristic, complemented
167#14582973C2211yescharacteristic, complemented
168#14582972C2211yescharacteristic, complemented
169#14582971C2211yescharacteristic
170#14582970C2211yescharacteristic, complemented
171#14582969C2211yescharacteristic, complemented
172#14582968C2211yescharacteristic, complemented
173#14582967C2211yescharacteristic, complemented
174#14582955C2211yescharacteristic, complemented
175#14582954C2211yescharacteristic, complemented
176#14582909C2211yescharacteristic, complemented
177#14582908C2211yescharacteristic, complemented
178#14582899C2211yescharacteristic, complemented
179#14582897C2211yescharacteristic, complemented
180#14582896C2211yescharacteristic, complemented
181#14582895C2211yescharacteristic, complemented
182#103×D43C2211yescharacteristic, complemented
183#103×D43C2211yescharacteristic, complemented
184#14582867C2211yescharacteristic, complemented
185#14582865C2211yescharacteristic, complemented
186#14582864C2211yescharacteristic, complemented
187#14582864C2211yescharacteristic, complemented
188C2×AGL(1,ℤ/8)×C43C2211yescharacteristic
189C22×SD16×C43C2211yescharacteristic
190C43×#548C2211yescharacteristic
191D42×C43C2211yescharacteristic
192C43×#496C2211yescharacteristic
193C43×#468C2211yescharacteristic
194C43×#466C2211yescharacteristic
195C43×#463C2211yescharacteristic
196C43×#460C2211yescharacteristic
197C43×#450C2211yescharacteristic
198C43×#449C2211yescharacteristic
199C43×#448C2211yescharacteristic
200C43×#447C2211yescharacteristic
201C43×#440C2211yescharacteristic
202C43×#435C2211yescharacteristic
203#13063373—42no—
204#13063373—42no—
205#13063372—42no—
206#13063372—42no—
207C2×#10621902—21no—
208C2×#10621902C2311yescharacteristic
209C2×#10621902C2311yescharacteristic
210C2×#10621898—21no—
211C2×#10621898—21no—
212C2×#10621898—21no—
213C2×#10621898—21no—
214C2×#10621898C2311yescharacteristic
215C2×#10621898C2311yescharacteristic
216C2×#10621898C2311yescharacteristic
217C2×#10621900—21no—
218C2×#10621900—21no—
219C2×#10621900—21no—
220C2×#10621900C2311yescharacteristic
221C2×#10621900C2311yescharacteristic
222C2×#10621900C2311yescharacteristic
223C2×#10621900C2311yescharacteristic
224C22×Dic86—21no—
225C22×Dic86C2311yescharacteristic
226C2×Q8×D43—21no—
227C2×Q8×D43C2311yescharacteristic
228C2×Q8×D43C2311yescharacteristic
229C2×Q8×D43C2311yescharacteristic
230#13063354—42no—
231#13063354—42no—
232#13063351—42no—
233#13063346—42no—
234#13063344—42no—
235C2×Dic172C2311yescharacteristic
236C2×Dic172C2311yescharacteristic
237C2×#10621885C2311yescharacteristic
238C2×#10621885C2311yescharacteristic
239C2×#10621873C2311yescharacteristic
240C2×#10621883—42no—
241C2×#10621883C2311yescharacteristic
242C2×#10621883C2311yescharacteristic
243C2×#10621883C2311yescharacteristic
244C2×#10621883C2311yescharacteristic
245C2×#10621883C2311yescharacteristic
246C2×#10621883C2311yescharacteristic
247C2×#10621883C2311yescharacteristic
248C2×#10621882C2311yescharacteristic
249C2×#10621882C2311yescharacteristic
250C2×#10621882C2311yescharacteristic
251C2×#10621877C2311yescharacteristic
252C2×#10621872C2311yescharacteristic
253C2×#10621872C2311yescharacteristic
254C22×C43⋊C8C2311yescharacteristic
255C2×C8×D43C2311yescharacteristic
256C2×C8×D43C2311yescharacteristic
257#13063325C2311yescharacteristic
258#13063324—21no—
259#13063324D411yescharacteristic
260#13063323—21no—
261#13063323C2311yescharacteristic
262#13063321—21no—
263#13063321—21no—
264#13063321—21no—
265#13063321—21no—
266#13063321—21no—
267#13063321D411yescharacteristic
268#13063321C2311yescharacteristic
269#13063318—21no—
270#13063318—21no—
271#13063318—21no—
272#13063318—21no—
273#13063318—21no—
274#13063316C2311yescharacteristic
275#13063313—21no—
276#13063313C2311yescharacteristic
277#13063312—21no—
278#13063312—21no—
279#13063312—21no—
280#13063312—21no—
281#13063312C2311yescharacteristic
282#13063311—21no—
283#13063311—21no—
284#13063311D411yescharacteristic
285#13063311D411yescharacteristic
286#13063307—21no—
287#13063307—21no—
288#13063307—21no—
289#13063306—21no—
290#13063306—21no—
291#13063306—21no—
292#13063306—21no—
293#13063305—21no—
294#13063305C2311yescharacteristic
295#13063305C2311yescharacteristic
296#13063304—21no—
297#13063304—21no—
298#13063304C2311yescharacteristic
299#13063304C2311yescharacteristic
300#13063304C2311yescharacteristic
301#13063303—21no—
302#13063303—21no—
303#13063303—21no—
304#13063302—21no—
305#13063302—21no—
306#13063302—21no—
307#13063302—21no—
308#13063302—21no—
309#13063301—21no—
310#13063301C2311yescharacteristic
311#13063300—21no—
312#13063300—21no—
313#13063300D411yescharacteristic
314#13063300C2311yescharacteristic
315#13063299—21no—
316#13063299C2311yescharacteristic
317#13063298—21no—
318#13063298—21no—
319#13063298—21no—
320#13063298—21no—
321#13063298—21no—
322#13063298—21no—
323#13063298—21no—
324#13063298—21no—
325#13063298—21no—
326#13063298D411yescharacteristic
327#13063298D411yescharacteristic
328#13063297—21no—
329#13063297—21no—
330#13063297—21no—
331#13063297—21no—
332#13063297—21no—
333#13063297—21no—
334#13063297—21no—
335#13063297—21no—
336#13063297—21no—
337#13063296—21no—
338#13063296—21no—
339#13063296—21no—
340#13063296—21no—
341#13063296—21no—
342#13063296—21no—
343#13063296—21no—
344#13063296D411yescharacteristic
345#13063296C2311yescharacteristic
346#13063296C2311yescharacteristic
347#13063296C2311yescharacteristic
348#13063296C2311yescharacteristic
349#13063296C2311yescharacteristic
350#13063296C2311yescharacteristic
351#13063296C2311yescharacteristic
352#13063296C2311yescharacteristic
353#13063294—21no—
354#13063294—21no—
355#13063294—21no—
356#13063294—21no—
357#13063294—21no—
358#13063294—21no—
359Q8×Dic43C2311yescharacteristic
360C4×Dic86—21no—
361C4×Dic86C2311yescharacteristic
362C4×Dic86C2311yescharacteristic
363#13063290—21no—
364#13063290—21no—
365#13063290C2311yescharacteristic
366C4×D172—21no—
367C4×D172C2311yescharacteristic
368D4×Dic43—21no—
369D4×Dic43—21no—
370D4×Dic43C2311yescharacteristic
371D4×Dic43C2311yescharacteristic
372C4×C22⋊D43—21no—
373C4×C22⋊D43—21no—
374C4×C22⋊D43—21no—
375C4×C22⋊D43C2311yescharacteristic
376C4×C22⋊D43C2311yescharacteristic
377(C22⋊D43)⋊C4—21no—
378(C22⋊D43)⋊C4—21no—
379(C22⋊D43)⋊C4—21no—
380(C22⋊D43)⋊C4—21no—
381(C22⋊D43)⋊C4—21no—
382(C22⋊D43)⋊C4—21no—
383(C22⋊D43)⋊C4—21no—
384(C22⋊D43)⋊C4—21no—
385#13063284—21no—
386#13063284C2311yescharacteristic
387#13063284C2311yescharacteristic
388C4⋊C4×D43—21no—
389C4⋊C4×D43C2311yescharacteristic
390C4⋊C4×D43C2311yescharacteristic
391C4⋊C4×D43C2311yescharacteristic
392C2×C22⋊Dic43—21no—
393C2×C22⋊Dic43—21no—
394C42×D43—21no—
395C42×D43C2311yescharacteristic
396#13063259C2311yescharacteristic
397#13063259C2311yescharacteristic
398#13063258C2311yescharacteristic
399#13063258C2311yescharacteristic
400#13063258C2311yescharacteristic
401#13063257C2311yescharacteristic
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#13063249C2311yescharacteristic
418#13063249C2311yescharacteristic
419#13063248C2311yescharacteristic
420#13063248C2311yescharacteristic
421#13063248C2311yescharacteristic
422#13063247C2311yescharacteristic
423#13063247C2311yescharacteristic
424#13063247C2311yescharacteristic
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
443#13063235C2311yescharacteristic
444#13063235C2311yescharacteristic
445C2×#41×C43C2311yescharacteristic
446C22×Q8×C43C2311yescharacteristic
447C22×D4×C43—21no—
448C22×D4×C43C2311yescharacteristic
449C22×D4×C43C2311yescharacteristic
450AGL(1,ℤ/8)×C43—42no—
451C2×SD16×C43—42no—
452C2×SD16×C43C2311yescharacteristic
453C2×SD16×C43C2311yescharacteristic
454C2×SD16×C43C2311yescharacteristic
455C2×SD16×C43C2311yescharacteristic
456C2×SD16×C43C2311yescharacteristic
457C2×SD16×C43C2311yescharacteristic
458C2×D8×C43C2311yescharacteristic
459C2×D8×C43C2311yescharacteristic
460C2×D8×C43C2311yescharacteristic
461C2×M16×C43C2311yescharacteristic
462C22×C8×C43C2311yescharacteristic
463#127×C43C2311yescharacteristic
464#124×C43—21no—
465#124×C43C2311yescharacteristic
466C22⋊Q8×C43—21no—
467C22⋊Q8×C43C2311yescharacteristic
468#121×C43—21no—
469#121×C43—21no—
470#121×C43C2311yescharacteristic
471#121×C43C2311yescharacteristic
472#121×C43C2311yescharacteristic
473#120×C43—21no—
474#120×C43—21no—
475C4×Q8×C43C2311yescharacteristic
476C4×D4×C43—21no—
477C4×D4×C43C2311yescharacteristic
478C4×D4×C43C2311yescharacteristic
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—
491C24×C43—21no—
492#41×C43—22no—
493#41×C43—41no—
494C2×Q8×C43—21no—
495C2×Q8×C43—22no—
496C2×Q8×C43—41no—
497C2×Q8×C43C2411yescharacteristic
498C2×Q8×C43C2411yescharacteristic
499C2×D4×C43—21no—
500C2×D4×C43—21no—
501C2×D4×C43—21no—
502C2×D4×C43—21no—
503C2×D4×C43—21no—
504C2×D4×C43—21no—
505C2×D4×C43—21no—
506C2×D4×C43—21no—
507C2×D4×C43—41no—
508C2×D4×C43—41no—
509C2×D4×C43—41no—
510C2×D4×C43—41no—
511C2×D4×C43—82no—
512C2×D4×C43C2×D411yescharacteristic
513C2×D4×C43C2411yescharacteristic
514C2×D4×C43C2411yescharacteristic
515C2×D4×C43C2411yescharacteristic
516C2×D4×C43C2411yescharacteristic
517C22×C4×C43—21no—
518C22×C4×C43—21no—
519C22×C4×C43—21no—
520C22×C4×C43C2411yescharacteristic
521C22×C4×C43C2411yescharacteristic
522C2×C22⋊D43—21no—
523C2×C22⋊D43—21no—
524C2×C22⋊D43—21no—
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⋊D43C2×D411yescharacteristic
539C2×C22⋊D43C2×D411yescharacteristic
540C2×C22⋊D43C2×D411yescharacteristic
541C2×C22⋊D43C2×D411yescharacteristic
542C2×C22⋊D43C2×D411yescharacteristic
543C2×C22⋊D43C2×D411yescharacteristic
544C22×Dic43—21no—
545C22×Dic43—21no—
546C22×Dic43—21no—
547C22×Dic43—21no—
548C22×Dic43—21no—
549C22×Dic43—21no—
550C22×Dic43—21no—
551#10621902—22no—
552#10621902—41no—
553#10621902—41no—
554#10621902—41no—
555#10621902—44no—
556Q8×D43—22no—
557Q8×D43—22no—
558Q8×D43—22no—
559Q8×D43—22no—
560Q8×D43—41no—
561Q8×D43—41no—
562Q8×D43—44no—
563#10621900—22no—
564#10621900—41no—
565#10621900—41no—
566#10621900—41no—
567#10621900—41no—
568#10621900—41no—
569#10621900—41no—
570#10621900—41no—
571#10621900—44no—
572#10621900—44no—
573#10621900—82no—
574#10621898—22no—
575#10621898—41no—
576#10621898—44no—
577#10621898—41no—
578#10621898—41no—
579#10621898—41no—
580#10621898—41no—
581#10621898—44no—
582#10621898—44no—
583#10621898—82no—
584C2×D172—21no—
585C2×D172—21no—
586C2×D172—21no—
587C2×D172C2×D411yescharacteristic
588C2×D172C2×D411yescharacteristic
589C2×D172C2×D411yescharacteristic
590C2×D172C2411yescharacteristic
591C2×C4×D43—21no—
592C2×C4×D43—21no—
593C2×C4×D43—21no—
594C2×C4×D43—21no—
595C2×C4×D43—21no—
596C2×C4×D43—21no—
597C2×C4×D43—21no—
598C2×C4×D43—21no—
599C2×C4×D43—21no—
600C2×C4×D43C2×D411yescharacteristic
601C2×C4×D43C2×D411yescharacteristic
602C2×C4×D43C2411yescharacteristic
603C2×C4×D43C2411yescharacteristic
604C2×C4×D43C2411yescharacteristic
605C2×Dic86—21no—
606C2×Dic86—22no—
607C2×Dic86—21no—
608C2×Dic86—21no—
609C2×Dic86—21no—
610C2×Dic86—21no—
611C2×Dic86—41no—
612C2×Dic86—44no—
613C2×Dic86C2×D411yescharacteristic
614C2×Dic86C2×D411yescharacteristic
615C2×Dic86C2411yescharacteristic
616C2×Dic86C2411yescharacteristic
617C2×Dic86C2411yescharacteristic
618SD16×C43—22no—
619SD16×C43—22no—
620SD16×C43—22no—
621SD16×C43—41no—
622SD16×C43—41no—
623SD16×C43—41no—
624D8×C43—41no—
625D8×C43—41no—
626D8×C43—41no—
627M16×C43—41no—
628C2×C8×C43—41no—
629C2×C8×C43C2411yescharacteristic
630C2×C8×C43C2411yescharacteristic
631C2×C8×C43C2411yescharacteristic
632C2×C8×C43C2411yescharacteristic
633C4⋊C4×C43—21no—
634C4⋊C4×C43—21no—
635C4⋊C4×C43C2×D411yescharacteristic
636C4⋊C4×C43C2411yescharacteristic
637C4⋊C4×C43C2411yescharacteristic
638C22⋊C4×C43—21no—
639C22⋊C4×C43—21no—
640C22⋊C4×C43—21no—
641C22⋊C4×C43—21no—
642C22⋊C4×C43—21no—
643C22⋊C4×C43—21no—
644C22⋊C4×C43—21no—
645C22⋊C4×C43C2×D411yescharacteristic
646C22⋊C4×C43C2×D411yescharacteristic
647C42×C43—21no—
648C42×C43C2411yescharacteristic
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⋊Dic43—21no—
663C22⋊Dic43—21no—
664C22⋊Dic43—21no—
665C22⋊Dic43—21no—
666C22⋊Dic43C2×D411yescharacteristic
667C22⋊Dic43C2×D411yescharacteristic
668#10621885—22no—
669#10621885—41no—
670#10621883—22no—
671#10621883—22no—
672#10621883—22no—
673#10621883—41no—
674#10621883—41no—
675#10621883—41no—
676#10621883—41no—
677#10621882—41no—
678#10621882—41no—
679#10621882—41no—
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)⋊C4—21no—
686(C2×D43)⋊C4—21no—
687(C2×D43)⋊C4C2×D411yescharacteristic
688(C2×D43)⋊C4C2×D411yescharacteristic
689(C2×D43)⋊C4C2×D411yescharacteristic
690(C2×D43)⋊C4C2×D411yescharacteristic
691C4⋊Dic43—21no—
692C4⋊Dic43—21no—
693C4⋊Dic43—21no—
694C4⋊Dic43—21no—
695C4⋊Dic43—21no—
696C4⋊Dic43C2×D411yescharacteristic
697C4⋊Dic43C2411yescharacteristic
698C4⋊Dic43C2411yescharacteristic
699C4⋊Dic43C2411yescharacteristic
700C4⋊Dic43C2411yescharacteristic
701Dic43⋊C4—21no—
702Dic43⋊C4—21no—
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—22no—
732Dic172—41no—
733#10621873—41no—
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—81no—
743C23×C43—81no—
744C23×C43—81no—
745C23×C43—81no—
746C23×C43—81no—
747C23×C43—81no—
748C23×C43C22×D411yescharacteristic
749C23×C43C22×D411yescharacteristic
750C22×D43—21no—
751C22×D43C22×D411yescharacteristic
752C22×D43C22×D411yescharacteristic
753C22×D43C22×D411yescharacteristic
754Q8×C43—21no—
755Q8×C43—21no—
756Q8×C43—21no—
757Q8×C43—42no—
758Q8×C43H(5,𝔽2)12yes—
759D4×C43—21no—
760D4×C43—21no—
761D4×C43—21no—
762D4×C43—21no—
763D4×C43—21no—
764D4×C43—21no—
765D4×C43—21no—
766D4×C43—21no—
767D4×C43—41no—
768D4×C43—42no—
769D4×C43—42no—
770D4×C43—81no—
771D4×C43—81no—
772D4×C43—81no—
773D4×C43—81no—
774D4×C43—81no—
775D4×C43—81no—
776C2×C4×C43—21no—
777C2×C4×C43—21no—
778C2×C4×C43—21no—
779C2×C4×C43—21no—
780C2×C4×C43—21no—
781C2×C4×C43—21no—
782C2×C4×C43—21no—
783C2×C4×C43—21no—
784C2×C4×C43—42no—
785C2×C4×C43—42no—
786C2×C4×C43—42no—
787C2×C4×C43C22×D411yescharacteristic
788C2×C4×C43C22×D411yescharacteristic
789C2×C4×C43C22×D411yescharacteristic
790C2×C4×C43C22×D411yescharacteristic
791C2×C4×C43C2511yescharacteristic
792C22⋊D43—41no—
793C22⋊D43—41no—
794C22⋊D43—41no—
795C22⋊D43—41no—
796C22⋊D43—41no—
797C22⋊D43—41no—
798C22⋊D43—42no—
799C22⋊D43—42no—
800C22⋊D43—42no—
801C22⋊D43—42no—
802C22⋊D43—81no—
803C22⋊D43—81no—
804C22⋊D43—81no—
805C22⋊D43—81no—
806C22⋊D43—81no—
807C22⋊D43—81no—
808C22⋊D43—81no—
809C22⋊D43—81no—
810C22⋊D43—81no—
811C22⋊D43—81no—
812C22⋊D43—81no—
813C22⋊D43—81no—
814C2×Dic43—21no—
815C2×Dic43—21no—
816C2×Dic43—21no—
817C2×Dic43—21no—
818C2×Dic43—21no—
819C2×Dic43—21no—
820C2×Dic43—21no—
821C2×Dic43—42no—
822C2×Dic43—42no—
823C2×Dic43—42no—
824C2×Dic43—81no—
825C2×Dic43—81no—
826C2×Dic43—81no—
827C2×Dic43—81no—
828C2×Dic43C22×D411yescharacteristic
829C2×Dic43C22×D411yescharacteristic
830C2×Dic43C22×D411yescharacteristic
831C2×Dic43C22×D411yescharacteristic
832C2×Dic43C22×D411yescharacteristic
833D172—21no—
834D172—21no—
835D172—41no—
836D172—41no—
837D172—41no—
838D172—42no—
839D172—42no—
840D172—81no—
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—42no—
851C4×D43—42no—
852C4×D43—42no—
853C4×D43—42no—
854C4×D43—42no—
855C4×D43—81no—
856C4×D43—81no—
857C4×D43—81no—
858Dic86—24no—
859Dic86—21no—
860Dic86—21no—
861Dic86—21no—
862Dic86—21no—
863Dic86—21no—
864Dic86—41no—
865Dic86—41no—
866Dic86—42no—
867Dic86—42no—
868Dic86—42no—
869Dic86—42no—
870Dic86H(5,𝔽2)12yes—
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#61671—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×C43—162no—
900C22×C43C23×D411yescharacteristic
901C2×D43—21no—
902C2×D43—21no—
903C2×D43—21no—
904C2×D43—21no—
905C2×D43—21no—
906C2×D43—21no—
907C2×D43—21no—
908C2×D43—21no—
909C2×D43—21no—
910C2×D43—41no—
911C2×D43—41no—
912C2×D43—41no—
913C4×C43—21no—
914C4×C43—21no—
915C4×C43—22no—
916C4×C43—21no—
917C4×C43—21no—
918C4×C43—41no—
919C4×C43—41no—
920C4×C43—41no—
921C4×C43C2×H(5,𝔽2)11yescharacteristic
922C4×C43C2×H(5,𝔽2)11yescharacteristic
923Dic43—21no—
924Dic43—21no—
925Dic43—21no—
926Dic43—22no—
927Dic43—21no—
928Dic43—21no—
929Dic43—41no—
930Dic43—41no—
931Dic43—41no—
932Dic43—41no—
933Dic43—41no—
934Dic43—41no—
935#3546—431no—
936#3497—431no—
937#3320—431no—
938#3320—431no—
939#3313—431no—
940#3313—431no—
941#3309—431no—
942#3309—431no—
943#3308—431no—
944#3308—431no—
945#3271—431no—
946#3271—431no—
947#3268—431no—
948#3268—431no—
949#3266—431no—
950#3266—431no—
951#3265—431no—
952#3265D4311yescharacteristic, complemented
953#3219—431no—
954#3214—431no—
955#3203—431no—
956#3203—431no—
957#3198—431no—
958#3198—431no—
959#3117—431no—
960#3112—431no—
961#3013—431no—
962#3013—431no—
963#3010—431no—
964#3010—431no—
965#2980—431no—
966C2×C43—41no—
967C2×C43—41no—
968C2×C43—81no—
969C2×C43—81no—
970C2×C43—81no—
971C2×C43—81no—
972C2×C43#348411yescharacteristic
973C2×C43#358511yescharacteristic
974C2×C43#358611yescharacteristic
975D43—41no—
976D43—41no—
977D43—41no—
978D43—81no—
979C2×2−1+4—431no—
980C2×2−1+4—431no—
981C2×#137—431no—
982C2×#137—431no—
983C2×AGL(1,ℤ/8)—431no—
984C2×AGL(1,ℤ/8)C2×D4311yescharacteristic
985C2×#135—431no—
986C2×#135—431no—
987C22×SD16—431no—
988C22×SD16C2×D4311yescharacteristic
989#560—861no—
990#560—861no—
991#556—431no—
992#553—431no—
993#553—431no—
994#550—431no—
995#550—431no—
996#550—431no—
997#550—861no—
998#550—861no—
999D4×Q8—431no—
1000D4×Q8—431no—
1001D4×Q8—861no—
1002#548—431no—
1003#548—431no—
1004#548—431no—
1005#548—861no—
1006#548—861no—
1007#548C2×D4311yescharacteristic
1008#547—431no—
1009#546—431no—
1010#546—431no—
1011#546—861no—
1012D42C2×D4311yescharacteristic
1013#542—861no—
1014#538—861no—
1015#538—861no—
1016#537—431no—
1017#537—431no—
1018#537—431no—
1019#537—431no—
1020#537—861no—
1021#537—861no—
1022#535—431no—
1023#535—431no—
1024#535—861no—
1025#532—431no—
1026#532—431no—
1027#532—431no—
1028#532—861no—
1029#532—861no—
1030#529—431no—
1031C2×C4×Q8—431no—
1032#497—431no—
1033#496—431no—
1034#496—431no—
1035#496C2×D4311yescharacteristic
1036#491—431no—
1037#490—431no—
1038#489—431no—
1039#489—431no—
1040#485—431no—
1041#485—431no—
1042#484—431no—
1043#484—431no—
1044#484—431no—
1045#482—431no—
1046#482—431no—
1047#481—431no—
1048#480—431no—
1049#480—431no—
1050#480—431no—
1051#480—431no—
1052#479—431no—
1053#479—431no—
1054#477—431no—
1055#477—431no—
1056#469—431no—
1057#469—431no—
1058#468—431no—
1059#468—431no—
1060#468—431no—
1061#468—431no—
1062#468—431no—
1063#468C2×D4311yescharacteristic
1064#467—431no—
1065#467—431no—
1066#466—431no—
1067#466—431no—
1068#466—431no—
1069#466C2×D4311yescharacteristic
1070#465—431no—
1071#465—431no—
1072#464—431no—
1073#464—431no—
1074#464—431no—
1075#464—431no—
1076#463—431no—
1077#463C2×D4311yescharacteristic
1078#461—431no—
1079#461—431no—
1080#460—431no—
1081#460C2×D4311yescharacteristic
1082#459—431no—
1083#459—431no—
1084#452—431no—
1085#452—431no—
1086#452—431no—
1087#452—431no—
1088#452—431no—
1089#452—431no—
1090#451—431no—
1091#451—431no—
1092#451—431no—
1093#450—431no—
1094#450C2×D4311yescharacteristic
1095#449—431no—
1096#449—431no—
1097#449—431no—
1098#449—431no—
1099#449—431no—
1100#449—431no—
1101#449—431no—
1102#449—431no—
1103#449—431no—
1104#449—431no—
1105#449—431no—
1106#449—431no—
1107#449—431no—
1108#449C2×D4311yescharacteristic
1109#448—431no—
1110#448—431no—
1111#448—431no—
1112#448—431no—
1113#448—431no—
1114#448—431no—
1115#448—431no—
1116#448—431no—
1117#448C2×D4311yescharacteristic
1118#447—431no—
1119#447C2×D4311yescharacteristic
1120#441—431no—
1121#441—431no—
1122#440—431no—
1123#440—431no—
1124#440—431no—
1125#440—431no—
1126#440—431no—
1127#440C2×D4311yescharacteristic
1128#435—431no—
1129#435—431no—
1130#435—431no—
1131#435—431no—
1132#435—431no—
1133#435—431no—
1134#435—431no—
1135#435C2×D4311yescharacteristic
1136#432—431no—
1137#432—431no—
1138#419—431no—
1139#419—431no—
1140#417—431no—
1141#417—431no—
1142#416—431no—
1143#416—431no—
1144C2×#103—431no—
1145C2×#103—431no—
1146#408—431no—
1147#408—431no—
1148#408—431no—
1149#408—431no—
1150C43#6167111yescharacteristic, complemented, Sylow
11512−1+4—1722no—
11522−1+4—1722no—
11532−1+4—1722no—
11542−1+4—1722no—
1155C2×#41—431no—
1156C2×#41—431no—
1157C2×#41—431no—
1158C2×#41—431no—
1159C2×#41—431no—
1160C2×#41—431no—
1161C2×#41—431no—
1162C2×#41—431no—
1163C2×#41—431no—
1164C2×#41—861no—
1165C2×#41—861no—
1166C2×#41—861no—
1167C2×#41—861no—
1168C2×#41—861no—
1169C2×#41—861no—
1170C2×#41—861no—
1171C2×#41—861no—
1172C2×#41C22×D4311yescharacteristic
1173C22×Q8—431no—
1174C22×Q8—431no—
1175C22×Q8—431no—
1176C22×Q8—431no—
1177C22×Q8—861no—
1178C22×Q8—861no—
1179C22×Q8C22×D4311yescharacteristic
1180C22×D4—21no—
1181C22×D4C22×D4311yescharacteristic
1182C22×D4C22×D4311yescharacteristic
1183#137—1722no—
1184#137—1722no—
1185AGL(1,ℤ/8)—42no—
1186AGL(1,ℤ/8)—1722no—
1187#135—1722no—
1188#135—1722no—
1189C2×Q16—431no—
1190C2×Q16—431no—
1191C2×Q16—431no—
1192C2×Q16—431no—
1193C2×SD16—42no—
1194C2×SD16—431no—
1195C2×SD16—431no—
1196C2×SD16—431no—
1197C2×SD16—431no—
1198C2×SD16—431no—
1199C2×SD16—431no—
1200C2×SD16—431no—
1201C2×SD16—431no—
1202C2×SD16—1722no—
1203C2×SD16C22×D4311yescharacteristic
1204C2×SD16C22×D4311yescharacteristic
1205C2×SD16C22×D4311yescharacteristic
1206C2×SD16C22×D4311yescharacteristic
1207C2×SD16C22×D4311yescharacteristic
1208C2×SD16C22×D4311yescharacteristic
1209C2×D8—431no—
1210C2×D8—431no—
1211C2×D8—431no—
1212C2×D8C22×D4311yescharacteristic
1213C2×D8C22×D4311yescharacteristic
1214C2×D8C22×D4311yescharacteristic
1215C2×M16—431no—
1216C2×M16—431no—
1217C2×M16—431no—
1218C2×M16C22×D4311yescharacteristic
1219C22×C8—431no—
1220C22×C8—431no—
1221C22×C8—431no—
1222C22×C8C22×D4311yescharacteristic
1223C4⋊Q8—431no—
1224C4⋊Q8—431no—
1225C4⋊Q8—431no—
1226C4⋊Q8—861no—
1227C4⋊Q8—861no—
1228#127—431no—
1229#127—431no—
1230#127—861no—
1231#127—861no—
1232#127—861no—
1233#127—861no—
1234#127—861no—
1235#127C22×D4311yescharacteristic
1236#126—861no—
1237#126—861no—
1238#126—861no—
1239#126—861no—
1240#126—861no—
1241#125—431no—
1242#124—21no—
1243#124—431no—
1244#124—431no—
1245#124—431no—
1246#124—431no—
1247#124—861no—
1248#124—861no—
1249#124—861no—
1250#124—861no—
1251#124—861no—
1252#124—861no—
1253#124—861no—
1254#124C22×D4311yescharacteristic
1255#123—861no—
1256#123—861no—
1257#123—861no—
1258#123—861no—
1259#123—861no—
1260#123—861no—
1261#123—861no—
1262C22⋊Q8—21no—
1263C22⋊Q8—431no—
1264C22⋊Q8—431no—
1265C22⋊Q8—431no—
1266C22⋊Q8—431no—
1267C22⋊Q8—431no—
1268C22⋊Q8—431no—
1269C22⋊Q8—861no—
1270C22⋊Q8—861no—
1271C22⋊Q8—861no—
1272C22⋊Q8—861no—
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—431no—
1285#121—431no—
1286#121—431no—
1287#121—431no—
1288#121—431no—
1289#121—431no—
1290#121—431no—
1291#121—431no—
1292#121—431no—
1293#121—431no—
1294#121—431no—
1295#121—431no—
1296#121—431no—
1297#121—431no—
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#121—861no—
1308#121—861no—
1309#121—861no—
1310#121—861no—
1311#121—861no—
1312#121—861no—
1313#121—861no—
1314#121—861no—
1315#121—861no—
1316#121—861no—
1317#121—861no—
1318#121—861no—
1319#121—861no—
1320#121—861no—
1321#121—861no—
1322#121—861no—
1323#121—861no—
1324#121—861no—
1325#121—861no—
1326#121C22×D4311yescharacteristic
1327#121C22×D4311yescharacteristic
1328#121C22×D4311yescharacteristic
1329#120—21no—
1330#120—21no—
1331#120—861no—
1332#120—861no—
1333#120—861no—
1334#120—861no—
1335#120—861no—
1336#120—861no—
1337C4×Q8—431no—
1338C4×Q8—431no—
1339C4×Q8—431no—
1340C4×Q8—431no—
1341C4×Q8—861no—
1342C4×Q8—861no—
1343C4×Q8—861no—
1344C4×Q8C22×D4311yescharacteristic
1345C4×D4—21no—
1346C4×D4—431no—
1347C4×D4—431no—
1348C4×D4—431no—
1349C4×D4—431no—
1350C4×D4—431no—
1351C4×D4—861no—
1352C4×D4—861no—
1353C4×D4—861no—
1354C4×D4—861no—
1355C4×D4—861no—
1356C4×D4—861no—
1357C4×D4—861no—
1358C4×D4—861no—
1359C4×D4—861no—
1360C4×D4—861no—
1361C4×D4—861no—
1362C4×D4—861no—
1363C4×D4—861no—
1364C4×D4—861no—
1365C4×D4C22×D4311yescharacteristic
1366C4×D4C22×D4311yescharacteristic
1367#117—431no—
1368#117—431no—
1369#117—861no—
1370C2×C4⋊C4—431no—
1371C2×C4⋊C4—431no—
1372C2×C4⋊C4—431no—
1373C2×C4⋊C4—861no—
1374C2×C22⋊C4—861no—
1375C2×C22⋊C4—861no—
1376C2×C42—431no—
1377C2×C42—861no—
1378#107—431no—
1379#107—431no—
1380#107—431no—
1381#107—431no—
1382#107—431no—
1383#107C22×D4311yescharacteristic
1384#106—431no—
1385#106—431no—
1386C4⋊C8—431no—
1387C4⋊C8—431no—
1388C4⋊C8—431no—
1389C4⋊C8C22×D4311yescharacteristic
1390#103—431no—
1391#103—431no—
1392#103—431no—
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#103C22×D4311yescharacteristic
1407#103C22×D4311yescharacteristic
1408#102—431no—
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#102C22×D4311yescharacteristic
1419#102C22×D4311yescharacteristic
1420#102C22×D4311yescharacteristic
1421#102C22×D4311yescharacteristic
1422C22⋊C8—431no—
1423C22⋊C8—431no—
1424C22⋊C8—431no—
1425C22⋊C8—431no—
1426C22⋊C8—431no—
1427C22⋊C8—431no—
1428C22⋊C8—431no—
1429C22⋊C8—431no—
1430C22⋊C8—431no—
1431C22⋊C8—431no—
1432C22⋊C8C22×D4311yescharacteristic
1433C22⋊C8C22×D4311yescharacteristic
1434#97—431no—
1435#97—431no—
1436#97—431no—
1437#97C22×D4311yescharacteristic
1438C24—21no—
1439C24—21no—
1440#41—22no—
1441#41—41no—
1442#41—862no—
1443#41—862no—
1444#41—862no—
1445#41—3442no—
1446#41—3442no—
1447#41—1721no—
1448#41—1721no—
1449#41—1721no—
1450#41—1721no—
1451#41—1721no—
1452#41—1724no—
1453#41—1724no—
1454#41—1724no—
1455#41—1721no—
1456#41—1721no—
1457#41—1721no—
1458#41—1721no—
1459#41—1721no—
1460#41—1721no—
1461#41—1721no—
1462#41—1724no—
1463#41—1721no—
1464#41—1721no—
1465#41—1721no—
1466#41—1724no—
1467#41—1724no—
1468C2×Q8—21no—
1469C2×Q8—22no—
1470C2×Q8—41no—
1471C2×Q8—431no—
1472C2×Q8—431no—
1473C2×Q8—431no—
1474C2×Q8—431no—
1475C2×Q8—431no—
1476C2×Q8—861no—
1477C2×Q8—861no—
1478C2×Q8—861no—
1479C2×Q8—862no—
1480C2×Q8—862no—
1481C2×Q8—862no—
1482C2×Q8—861no—
1483C2×Q8—861no—
1484C2×Q8—862no—
1485C2×Q8—862no—
1486C2×Q8—1721no—
1487C2×Q8—1724no—
1488C2×Q8—1721no—
1489C2×Q8—1721no—
1490C2×Q8—1724no—
1491C2×Q8C23×D4311yescharacteristic
1492C2×Q8C23×D4311yescharacteristic
1493C2×D4—21no—
1494C2×D4—21no—
1495C2×D4—21no—
1496C2×D4—21no—
1497C2×D4—21no—
1498C2×D4—21no—
1499C2×D4—21no—
1500C2×D4—21no—
1501C2×D4—41no—
1502C2×D4—41no—
1503C2×D4—41no—
1504C2×D4—41no—
1505C2×D4—82no—
1506C2×D4—431no—
1507C2×D4—431no—
1508C2×D4—431no—
1509C2×D4—431no—
1510C2×D4—431no—
1511C2×D4—431no—
1512C2×D4—431no—
1513C2×D4—431no—
1514C2×D4—431no—
1515C2×D4—431no—
1516C2×D4—861no—
1517C2×D4—861no—
1518C2×D4—861no—
1519C2×D4—861no—
1520C2×D4—861no—
1521C2×D4—861no—
1522C2×D4—861no—
1523C2×D4—861no—
1524C2×D4—861no—
1525C2×D4—861no—
1526C2×D4—861no—
1527C2×D4—861no—
1528C2×D4—861no—
1529C2×D4—861no—
1530C2×D4—861no—
1531C2×D4—861no—
1532C2×D4—861no—
1533C2×D4—861no—
1534C2×D4—861no—
1535C2×D4D4×D4311yescharacteristic
1536C2×D4C23×D4311yescharacteristic
1537C2×D4C23×D4311yescharacteristic
1538C2×D4C23×D4311yescharacteristic
1539C2×D4C23×D4311yescharacteristic
1540C22×C4—21no—
1541C22×C4—21no—
1542C22×C4—21no—
1543C22×C4—431no—
1544C22×C4—431no—
1545C22×C4—431no—
1546C22×C4—431no—
1547C22×C4—431no—
1548C22×C4—861no—
1549C22×C4—861no—
1550C22×C4—861no—
1551C22×C4—861no—
1552C22×C4—861no—
1553C22×C4—861no—
1554C22×C4—861no—
1555C22×C4—861no—
1556C22×C4—861no—
1557C22×C4—861no—
1558C22×C4—861no—
1559C22×C4—861no—
1560C22×C4—861no—
1561C22×C4—861no—
1562C22×C4—861no—
1563C22×C4—861no—
1564C22×C4C23×D4311yescharacteristic
1565C22×C4C23×D4311yescharacteristic
1566Q16—862no—
1567Q16—862no—
1568Q16—1721no—
1569Q16—1721no—
1570SD16—22no—
1571SD16—22no—
1572SD16—22no—
1573SD16—41no—
1574SD16—41no—
1575SD16—41no—
1576SD16—862no—
1577SD16—862no—
1578SD16—862no—
1579SD16—1721no—
1580SD16—1721no—
1581SD16—1721no—
1582SD16—1721no—
1583SD16—1721no—
1584D8—41no—
1585D8—41no—
1586D8—41no—
1587D8—1721no—
1588D8—1721no—
1589D8—1721no—
1590M16—41no—
1591M16—1721no—
1592M16—1721no—
1593M16—1721no—
1594C2×C8—41no—
1595C2×C8—431no—
1596C2×C8—431no—
1597C2×C8—431no—
1598C2×C8—431no—
1599C2×C8—1721no—
1600C2×C8—1721no—
1601C2×C8—1721no—
1602C2×C8C23×D4311yescharacteristic
1603C2×C8C23×D4311yescharacteristic
1604C2×C8C23×D4311yescharacteristic
1605C2×C8C23×D4311yescharacteristic
1606C4⋊C4—21no—
1607C4⋊C4—21no—
1608C4⋊C4—431no—
1609C4⋊C4—431no—
1610C4⋊C4—431no—
1611C4⋊C4—431no—
1612C4⋊C4—431no—
1613C4⋊C4—431no—
1614C4⋊C4—431no—
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⋊C4—861no—
1633C4⋊C4D4×D4311yescharacteristic
1634C4⋊C4C23×D4311yescharacteristic
1635C4⋊C4C23×D4311yescharacteristic
1636C22⋊C4—21no—
1637C22⋊C4—21no—
1638C22⋊C4—21no—
1639C22⋊C4—21no—
1640C22⋊C4—21no—
1641C22⋊C4—21no—
1642C22⋊C4—21no—
1643C22⋊C4—431no—
1644C22⋊C4—431no—
1645C22⋊C4—431no—
1646C22⋊C4—431no—
1647C22⋊C4—431no—
1648C22⋊C4—431no—
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⋊C4D4×D4311yescharacteristic
1674C22⋊C4D4×D4311yescharacteristic
1675C42—21no—
1676C42—431no—
1677C42—431no—
1678C42—431no—
1679C42—861no—
1680C42—861no—
1681C42—861no—
1682C42—861no—
1683C42—861no—
1684C42—861no—
1685C42C23×D4311yescharacteristic
1686C23—21no—
1687C23—21no—
1688C23—21no—
1689C23—21no—
1690C23—81no—
1691C23—81no—
1692C23—81no—
1693C23—81no—
1694C23—81no—
1695C23—81no—
1696C23—431no—
1697C23—431no—
1698C23—431no—
1699C23—861no—
1700C23C2×D4×D4311yescharacteristic
1701C23C2×D4×D4311yescharacteristic
1702Q8—21no—
1703Q8—21no—
1704Q8—21no—
1705Q8—42no—
1706Q8—432no—
1707Q8—864no—
1708Q8—861no—
1709Q8—861no—
1710Q8—861no—
1711Q8—861no—
1712Q8—861no—
1713Q8—1721no—
1714Q8—1721no—
1715Q8—1722no—
1716Q8—1722no—
1717Q8—1722no—
1718Q8—1722no—
1719Q8#1306337012yes—
1720D4—21no—
1721D4—21no—
1722D4—21no—
1723D4—21no—
1724D4—21no—
1725D4—21no—
1726D4—21no—
1727D4—21no—
1728D4—41no—
1729D4—42no—
1730D4—42no—
1731D4—81no—
1732D4—81no—
1733D4—81no—
1734D4—81no—
1735D4—81no—
1736D4—81no—
1737D4—861no—
1738D4—861no—
1739D4—3441no—
1740D4—3441no—
1741D4—3441no—
1742D4—3441no—
1743D4—3441no—
1744D4—3441no—
1745D4—3441no—
1746D4—3441no—
1747D4—3441no—
1748D4—3441no—
1749D4—3441no—
1750D4—3441no—
1751D4—3441no—
1752D4—1721no—
1753D4—1721no—
1754D4—1721no—
1755D4—1722no—
1756D4—1722no—
1757D4—1721no—
1758D4—1721no—
1759D4—1721no—
1760D4—1721no—
1761D4—1721no—
1762D4—1721no—
1763D4—1722no—
1764D4—1722no—
1765D4—1722no—
1766D4—1722no—
1767C2×C4—21no—
1768C2×C4—21no—
1769C2×C4—21no—
1770C2×C4—21no—
1771C2×C4—21no—
1772C2×C4—21no—
1773C2×C4—21no—
1774C2×C4—21no—
1775C2×C4—42no—
1776C2×C4—42no—
1777C2×C4—42no—
1778C2×C4—431no—
1779C2×C4—431no—
1780C2×C4—431no—
1781C2×C4—431no—
1782C2×C4—431no—
1783C2×C4—864no—
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—861no—
1797C2×C4—3441no—
1798C2×C4—3441no—
1799C2×C4—3441no—
1800C2×C4—3441no—
1801C2×C4—3441no—
1802C2×C4—3441no—
1803C2×C4—3441no—
1804C2×C4—1721no—
1805C2×C4—1721no—
1806C2×C4—1722no—
1807C2×C4—1722no—
1808C2×C4—1722no—
1809C2×C4—1722no—
1810C2×C4—1722no—
1811C2×C4—1722no—
1812C2×C4—1722no—
1813C2×C4—1722no—
1814C2×C4C2×D4×D4311yescharacteristic
1815C2×C4C2×D4×D4311yescharacteristic
1816C2×C4C2×D4×D4311yescharacteristic
1817C2×C4C2×D4×D4311yescharacteristic
1818C2×C4C24×D4311yescharacteristic
1819C8—21no—
1820C8—21no—
1821C8—21no—
1822C8—21no—
1823C8—861no—
1824C8—861no—
1825C8—861no—
1826C8—861no—
1827C22—21no—
1828C22—21no—
1829C22—21no—
1830C22—21no—
1831C22—21no—
1832C22—21no—
1833C22—41no—
1834C22—41no—
1835C22—41no—
1836C22—41no—
1837C22—41no—
1838C22—41no—
1839C22—41no—
1840C22—41no—
1841C22—41no—
1842C22—41no—
1843C22—41no—
1844C22—41no—
1845C22—162no—
1846C22—162no—
1847C22—861no—
1848C22—861no—
1849C22—861no—
1850C22—861no—
1851C22—861no—
1852C22—861no—
1853C22—861no—
1854C22—861no—
1855C22—861no—
1856C22—1721no—
1857C22—1721no—
1858C22—1721no—
1859C22C22×D4×D4311yescharacteristic
1860C4—21no—
1861C4—21no—
1862C4—21no—
1863C4—21no—
1864C4—22no—
1865C4—41no—
1866C4—41no—
1867C4—41no—
1868C4—861no—
1869C4—861no—
1870C4—861no—
1871C4—861no—
1872C4—861no—
1873C4—862no—
1874C4—1721no—
1875C4—1721no—
1876C4—1721no—
1877C4—1721no—
1878C4—1721no—
1879C4—1721no—
1880C4H(5,𝔽2)×D4311yescharacteristic
1881C4C2×#1306337011yescharacteristic
1882C2—41no—
1883C2—41no—
1884C2—81no—
1885C2—81no—
1886C2—81no—
1887C2—81no—
1888C2—3441no—
1889C2—1721no—
1890C2—1721no—
1891C2—1721no—
1892C2#1914822311yescharacteristic
1893C2#1914937111yescharacteristic
1894C2#1914937711yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3265C2
socleC22×C43C23×D4
hypercenter#3265D43
hypocenterC43#61671
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3265

Complements

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

NH ≅ G/Ntype
1. #19148963C2semidirect
2. #19148363C2semidirect
3. #19146761C2semidirect
4. #19146759C2semidirect
5. #19146663C2semidirect
6. #19146661C2semidirect
7. #19146607C2semidirect
8. #19146605C2semidirect
9. #19146593C2semidirect
10. #19146591C2semidirect
11. #19146179C2semidirect
12. #19146175C2semidirect
13. #19146133C2semidirect
14. #19146129C2semidirect
15. #19146109C2semidirect
16. #19146105C2semidirect
17. #19146086C2semidirect
18. #19145631C2semidirect
19. #19145585C2semidirect
20. #19145493C2semidirect
21. #19145491C2semidirect
22. #19145451C2semidirect
23. #19145443C2semidirect
24. #19144764C2semidirect
25. #19144716C2semidirect
26. #19143908C2semidirect
27. #19143905C2semidirect
28. #19143880C2semidirect
29. #19143877C2semidirect
30. #19143663C2semidirect
31. C43×#3265C2semidirect
32. C2×#13063373C22semidirect
33. C2×#13063372C22semidirect
34. C2×#13063354C22semidirect
35. C2×#13063354C22semidirect
37. C2×#13063346C22semidirect
38. C2×#13063344C22semidirect
46. #14583568C22semidirect
49. #14583567C22semidirect
50. Q8×C22⋊D43C22semidirect
52. #14583562C22semidirect
53. #14583561C22semidirect
57. #14583557C22semidirect
66. #14583479C22semidirect
70. #14583478C22semidirect
75. #14583448C22semidirect
80. C4×Q8×D43C22semidirect
84. #14583266C22semidirect
85. #14583262C22semidirect
86. #14583259C22semidirect
87. #14583258C22semidirect
88. #14583241C22semidirect
89. #14583237C22semidirect
90. #14583236C22semidirect
91. #14583236C22semidirect
92. #14583233C22semidirect
93. #14583224C22semidirect
94. #14583220C22semidirect
96. #14583214C22semidirect
97. #14583211C22semidirect
98. #14583211C22semidirect
99. #14583211C22semidirect
100. #14583205C22semidirect
101. #14583204C22semidirect
102. #14583195C22semidirect
103. #14583194C22semidirect
104. #14583151C22semidirect
105. #14583149C22semidirect
106. #14583145C22semidirect
109. #14583143C22semidirect
111. #14583140C22semidirect
112. #14583138C22semidirect
116. #14583127C22semidirect
117. #14583125C22semidirect
118. #14583122C22semidirect
121. #14583118C22semidirect
123. #14583102C22semidirect
124. #14583102C22semidirect
126. #14583092C22semidirect
127. #14583092C22semidirect
128. #14583064C22semidirect
129. #14583063C22semidirect
130. #14583062C22semidirect
131. #14583062C22semidirect
132. #14583061C22semidirect
133. #14583058C22semidirect
134. #14583057C22semidirect
135. #14583056C22semidirect
136. #14583055C22semidirect
138. #14583045C22semidirect
141. #14583043C22semidirect
142. #14583043C22semidirect
143. #14583043C22semidirect
147. #14583041C22semidirect
148. #14583041C22semidirect
149. #14583041C22semidirect
150. #14583041C22semidirect
155. #14583036C22semidirect
156. #14583036C22semidirect
157. #14583036C22semidirect
158. #14583036C22semidirect
160. #14583007C22semidirect
161. #14583004C22semidirect
162. #14583000C22semidirect
163. #14583000C22semidirect
165. #14582996C22semidirect
166. #14582996C22semidirect
167. #14582973C22semidirect
168. #14582972C22semidirect
170. #14582970C22semidirect
171. #14582969C22semidirect
172. #14582968C22semidirect
173. #14582967C22semidirect
174. #14582955C22semidirect
175. #14582954C22semidirect
176. #14582909C22semidirect
177. #14582908C22semidirect
178. #14582899C22semidirect
179. #14582897C22semidirect
180. #14582896C22semidirect
181. #14582895C22semidirect
182. #103×D43C22semidirect
183. #103×D43C22semidirect
184. #14582867C22semidirect
185. #14582865C22semidirect
186. #14582864C22semidirect
187. #14582864C22semidirect
952. #3265D43semidirect
1150. C43#61671semidirect

Maximal subgroups

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

subgroupindex
#191489632
#191483632
#191467612
#191467592
#191466632
#191466612
#191466072
#191466052
#191465932
#191465912
#191461792
#191461752
#191461332
#191461292
#191461092
#191461052
#191460862
#191456312
#191455852
#191454932
#191454912
#191454512
#191454432
#191447642
#191447162
#191439082
#191439052
#191438802
#191438772
#191436632
C43×#32652
#6167143