Finite Group Databasebeta

← #25979738

Subgroups — #25979738

Order 11008.

1896 conjugacy classes of subgroups.

The subgroup lattice has 1762 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19148556C211yesmaximal, characteristic, complemented
2#19148535C211yesmaximal, characteristic, complemented
3#19147684C211yesmaximal, characteristic, complemented
4#19147495C211yesmaximal, characteristic, complemented
5#19147388C211yesmaximal, characteristic, complemented
6#19147349C211yesmaximal, characteristic, complemented
7#19147186C211yesmaximal, characteristic, complemented
8#19147145C211yesmaximal, characteristic, complemented
9#19147111C211yesmaximal, characteristic, complemented
10#19146833C211yesmaximal, characteristic, complemented
11#19146812C211yesmaximal, characteristic, complemented
12#19146752C211yesmaximal, characteristic, complemented
13#19146741C211yesmaximal, characteristic, complemented
14#19146636C211yesmaximal, characteristic, complemented
15#19146557C211yesmaximal, characteristic, complemented
16#19146200C211yesmaximal, characteristic, complemented
17#19146077C211yesmaximal, characteristic, complemented
18#19146069C211yesmaximal, characteristic, complemented
19#19145274C211yesmaximal, characteristic, complemented
20#19145208C211yesmaximal, characteristic, complemented
21#19145190C211yesmaximal, characteristic, complemented
22#19144868C211yesmaximal, characteristic, complemented
23#19144835C211yesmaximal, characteristic, complemented
24#19144785C211yesmaximal, characteristic, complemented
25#19144775C211yesmaximal, characteristic, complemented
26#19144704C211yesmaximal, characteristic, complemented
27#19144686C211yesmaximal, characteristic, complemented
28#19143580C211yesmaximal, characteristic, complemented
29#19143442C211yesmaximal, characteristic, complemented
30#19143420C211yesmaximal, characteristic, complemented
31C4×AGL(1,ℤ/8)×C43C211yesmaximal, characteristic, complemented
32C2×#13063349C2211yescharacteristic
33C2×D8×D43C2211yescharacteristic
34#14583634C2211yescharacteristic, complemented
35#14583632C2211yescharacteristic, complemented
36#14583622C2211yescharacteristic, complemented
37#14583612C2211yescharacteristic
38#14583612C2211yescharacteristic, complemented
39#14583608C2211yescharacteristic, complemented
40#14583599C2211yescharacteristic
41#14583598—21no—
42#14583584C2211yescharacteristic, complemented
43#14583578—21no—
44#14583575—21no—
45#14583573—21no—
46#14583573—21no—
47D4×Dic86C2211yescharacteristic, complemented
48#14583558—21no—
49#14583550C2211yescharacteristic, complemented
50#14583545—21no—
51#14583544C2211yescharacteristic
52#14583543C2211yescharacteristic, complemented
53#14583539—21no—
54#14583537C2211yescharacteristic
55#14583537C2211yescharacteristic, complemented
56D4×D172C2211yescharacteristic, complemented
57D4×C22⋊D43C2211yescharacteristic, complemented
58#14583521C2211yescharacteristic, complemented
59#14583521C2211yescharacteristic, complemented
60#14583514C2211yescharacteristic, complemented
61#14583500C2211yescharacteristic, complemented
62#14583491—21no—
63#14583482—21no—
64#14583482—21no—
65#14583482—21no—
66#14583449C2211yescharacteristic, complemented
67#14583433—21no—
68#14583433C2211yescharacteristic
69#14583433C2211yescharacteristic, complemented
70C2×#13063313—21no—
71#14583410—21no—
72C2×#13063308—21no—
73#14583378C2211yescharacteristic, complemented
74#14583371C2211yescharacteristic, complemented
75#14583371C2211yescharacteristic, complemented
76#14583371C2211yescharacteristic, complemented
77#14583308C2211yescharacteristic, complemented
78#14583306C2211yescharacteristic, complemented
79#14583296C2211yescharacteristic, complemented
80#14583288C2211yescharacteristic, complemented
81#14583285C2211yescharacteristic, complemented
82#14583280C2211yescharacteristic, complemented
83#14583264C2211yescharacteristic, complemented
84#14583260C2211yescharacteristic, complemented
85#14583259C2211yescharacteristic, complemented
86#14583257C2211yescharacteristic, complemented
87#14583255C2211yescharacteristic, complemented
88#14583244C2211yescharacteristic, complemented
89#14583242C2211yescharacteristic, complemented
90#14583240C2211yescharacteristic, complemented
91#14583239C2211yescharacteristic, complemented
92#14583228C2211yescharacteristic, complemented
93#14583226C2211yescharacteristic, complemented
94#14583225C2211yescharacteristic, complemented
95#14583223C2211yescharacteristic, complemented
96#14583222C2211yescharacteristic, complemented
97#14583221C2211yescharacteristic, complemented
98#14583219C2211yescharacteristic, complemented
99#14583217C2211yescharacteristic, complemented
100#14583217C2211yescharacteristic, complemented
101#14583206C2211yescharacteristic, complemented
102#14583202C2211yescharacteristic, complemented
103#14583199C2211yescharacteristic, complemented
104#14583197C2211yescharacteristic, complemented
105#14583189C2211yescharacteristic, complemented
106#14583189C2211yescharacteristic, complemented
107#14583188C2211yescharacteristic, complemented
108#14583187C2211yescharacteristic, complemented
109#14583187C2211yescharacteristic, complemented
110#14583183C2211yescharacteristic, complemented
111#14583178C2211yescharacteristic, complemented
112#14583177C2211yescharacteristic, complemented
113#14583156C2211yescharacteristic, complemented
114#14583153C2211yescharacteristic, complemented
115#14583152C2211yescharacteristic, complemented
116#14583152C2211yescharacteristic, complemented
117#14583151C2211yescharacteristic
118#14583145C2211yescharacteristic, complemented
119#14583145C2211yescharacteristic, complemented
120#14583142C2211yescharacteristic, complemented
121#14583134C2211yescharacteristic, complemented
122#14583131C2211yescharacteristic, complemented
123#14583129C2211yescharacteristic, complemented
124#14583125C2211yescharacteristic, complemented
125#14583124C2211yescharacteristic, complemented
126#14583121C2211yescharacteristic, complemented
127#14583117C2211yescharacteristic, complemented
128#14583116C2211yescharacteristic, complemented
129#14583116C2211yescharacteristic, complemented
130#14583114C2211yescharacteristic, complemented
131#14583113C2211yescharacteristic, complemented
132#14583112C2211yescharacteristic, complemented
133#14583094C2211yescharacteristic
134#14583094C2211yescharacteristic, complemented
135#14583093C2211yescharacteristic, complemented
136#14583092C2211yescharacteristic
137#14583061C2211yescharacteristic, complemented
138#14583058C2211yescharacteristic, complemented
139#14583051C2211yescharacteristic, complemented
140#14583048C2211yescharacteristic, complemented
141#14583045C2211yescharacteristic
142#14583044C2211yescharacteristic
143#14583034C2211yescharacteristic
144#14583034C2211yescharacteristic, complemented
145#14583033C2211yescharacteristic, complemented
146#14583033C2211yescharacteristic, complemented
147#14583031C2211yescharacteristic
148#14583031C2211yescharacteristic, complemented
149#14583027C2211yescharacteristic, complemented
150#14583027C2211yescharacteristic, complemented
151#14583011C2211yescharacteristic
152#14583009C2211yescharacteristic, complemented
153#14583009C2211yescharacteristic, complemented
154#14583009C2211yescharacteristic, complemented
155#14583009C2211yescharacteristic, complemented
156#14583009C2211yescharacteristic, complemented
157#14583008C2211yescharacteristic, complemented
158#14583008C2211yescharacteristic, complemented
159#14583004C2211yescharacteristic, complemented
160#14582999C2211yescharacteristic, complemented
161#14582998C2211yescharacteristic, complemented
162#14582997C2211yescharacteristic, complemented
163#14582990C2211yescharacteristic, complemented
164C4×#10621873C2211yescharacteristic, complemented
165C4×#10621873C2211yescharacteristic, complemented
166C4×D344C2211yescharacteristic, complemented
167C4×D344C2211yescharacteristic, complemented
168D8×Dic43C2211yescharacteristic
169#14582981C2211yescharacteristic, complemented
170#14582979C2211yescharacteristic, complemented
171#14582975C2211yescharacteristic, complemented
172#14582975C2211yescharacteristic, complemented
173#14582972C2211yescharacteristic, complemented
174#14582972C2211yescharacteristic, complemented
175#14582968C2211yescharacteristic, complemented
176#14582968C2211yescharacteristic, complemented
177#14582958C2211yescharacteristic, complemented
178#14582958C2211yescharacteristic, complemented
179#14582956C2211yescharacteristic, complemented
180#14582940C2211yescharacteristic, complemented
181#14582936C2211yescharacteristic, complemented
182#14582902C2211yescharacteristic, complemented
183#14582902C2211yescharacteristic, complemented
184#14582892C2211yescharacteristic, complemented
185#102×D43C2211yescharacteristic, complemented
186#14582853C2211yescharacteristic, complemented
187#14582853C2211yescharacteristic, complemented
188C2×AGL(1,ℤ/8)×C43C2211yescharacteristic
189C4×#41×C43C2211yescharacteristic, complemented
190C2×C4×D4×C43C2211yescharacteristic, complemented
191C43×#442C2211yescharacteristic
192C43×#442C2211yescharacteristic, complemented
193C43×#440C2211yescharacteristic, complemented
194C43×#440C2211yescharacteristic, complemented
195C4×SD16×C43C2211yescharacteristic, complemented
196C4×SD16×C43C2211yescharacteristic, complemented
197C4×D8×C43C2211yescharacteristic
198C4×D8×C43C2211yescharacteristic, complemented
199C43×#428C2211yescharacteristic, complemented
200C43×#418C2211yescharacteristic, complemented
201C43×#417C2211yescharacteristic, complemented
202C4×M16×C43C2211yescharacteristic, complemented
203C2×#10621898—21no—
204C2×#10621898—21no—
205C2×#10621900C2311yescharacteristic
206C22×Dic86—21no—
207C22×D172—21no—
208C22×C22⋊D43—21no—
209C2×D4×D43C2311yescharacteristic
210C2×D4×D43C2311yescharacteristic
211C2×D4×D43C2311yescharacteristic
212#13063349—24no—
213C2×#10621885C2311yescharacteristic
214C2×#10621873C2311yescharacteristic
215C2×#10621873C2311yescharacteristic
216C2×#10621883C2311yescharacteristic
217C2×#10621884C2311yescharacteristic
218C2×D344C2311yescharacteristic
219C2×D344C2311yescharacteristic
220C2×#10621882C2311yescharacteristic
221C2×#10621882C2311yescharacteristic
222C2×#10621882C2311yescharacteristic
223C2×#10621882C2311yescharacteristic
224C2×#10621882C2311yescharacteristic
225D8×D43—24no—
226C2×#10621872C2311yescharacteristic
227C2×#10621872C2311yescharacteristic
228C2×C8×D43C2311yescharacteristic
229C2×C8×D43C2311yescharacteristic
230#13063325C2311yescharacteristic
231#13063324C2311yescharacteristic
232#13063324C2311yescharacteristic
233#13063324C2311yescharacteristic
234#13063322C2311yescharacteristic
235#13063321C2311yescharacteristic
236#13063320—21no—
237#13063320—21no—
238#13063320—21no—
239#13063319—21no—
240#13063319—21no—
241#13063319—21no—
242#13063319D411yescharacteristic
243#13063319D411yescharacteristic
244#13063318—21no—
245#13063318—21no—
246#13063317D411yescharacteristic
247#13063317C2311yescharacteristic
248#13063316C2311yescharacteristic
249#13063315—21no—
250#13063314C2311yescharacteristic
251#13063314C2311yescharacteristic
252#13063313—21no—
253#13063313—21no—
254#13063313—21no—
255#13063313—21no—
256#13063313—21no—
257#13063313—21no—
258#13063313—21no—
259#13063313D411yescharacteristic
260#13063313C2311yescharacteristic
261#13063312C2311yescharacteristic
262#13063311—21no—
263#13063311—21no—
264#13063311—21no—
265#13063311—21no—
266#13063310—21no—
267#13063310—21no—
268#13063310—21no—
269#13063310—21no—
270#13063310—21no—
271#13063309—21no—
272#13063308—21no—
273#13063308—21no—
274#13063308—21no—
275#13063308—21no—
276#13063308—21no—
277#13063308—21no—
278#13063308—21no—
279#13063308—21no—
280#13063308—21no—
281#13063308D411yescharacteristic
282#13063308D411yescharacteristic
283#13063307—21no—
284#13063307—21no—
285#13063306—21no—
286#13063305C2311yescharacteristic
287#13063304—21no—
288#13063304—21no—
289#13063304—21no—
290#13063304D411yescharacteristic
291#13063304C2311yescharacteristic
292#13063303—21no—
293#13063303—21no—
294#13063303—21no—
295#13063302—21no—
296#13063302—21no—
297#13063302—21no—
298#13063302—21no—
299#13063301C2311yescharacteristic
300#13063301C2311yescharacteristic
301#13063300C2311yescharacteristic
302#13063300C2311yescharacteristic
303#13063300C2311yescharacteristic
304#13063299—21no—
305#13063299—21no—
306#13063299—21no—
307#13063299—21no—
308#13063299D411yescharacteristic
309#13063299C2311yescharacteristic
310#13063299C2311yescharacteristic
311#13063299C2311yescharacteristic
312#13063298—21no—
313#13063298—21no—
314#13063298—21no—
315#13063298—21no—
316#13063297—21no—
317#13063297—21no—
318#13063297—21no—
319#13063297—21no—
320#13063296C2311yescharacteristic
321#13063296C2311yescharacteristic
322#13063295—21no—
323#13063295—21no—
324#13063295—21no—
325#13063294—21no—
326#13063294—21no—
327#13063293—21no—
328#13063293—21no—
329#13063293—21no—
330C4×Dic86—21no—
331C4×Dic86C2311yescharacteristic
332C4×Dic86C2311yescharacteristic
333#13063290C2311yescharacteristic
334C4×D172—21no—
335C4×D172—21no—
336C4×D172C2311yescharacteristic
337C4×D172C2311yescharacteristic
338C4×D172C2311yescharacteristic
339C4×D172C2311yescharacteristic
340D4×Dic43C2311yescharacteristic
341D4×Dic43C2311yescharacteristic
342D4×Dic43C2311yescharacteristic
343D4×Dic43C2311yescharacteristic
344#13063287C2311yescharacteristic
345#13063287C2311yescharacteristic
346#13063287C2311yescharacteristic
347C4×C22⋊D43—21no—
348C4×C22⋊D43—21no—
349C4×C22⋊D43—21no—
350C4×C22⋊D43—21no—
351C4×C22⋊D43—21no—
352C4×C22⋊D43—21no—
353C4×C22⋊D43—21no—
354C4×C22⋊D43C2311yescharacteristic
355C4×C22⋊D43C2311yescharacteristic
356(C22⋊D43)⋊C4—21no—
357(C22⋊D43)⋊C4—21no—
358(C22⋊D43)⋊C4—21no—
359(C22⋊D43)⋊C4—21no—
360#13063284—21no—
361#13063283C2311yescharacteristic
362#13063283C2311yescharacteristic
363#13063283C2311yescharacteristic
364#13063282—21no—
365#13063282—21no—
366#13063282—21no—
367#13063282C2311yescharacteristic
368#13063282C2311yescharacteristic
369#13063281—21no—
370C2×Dic43⋊C4—21no—
371C2×Dic43⋊C4—21no—
372C4⋊C4×D43C2311yescharacteristic
373C2×C22⋊Dic43—21no—
374C2×(C2×D43)⋊C4—21no—
375C2×(C2×D43)⋊C4—21no—
376C2×(C2×D43)⋊C4—21no—
377C2×(C2×D43)⋊C4—21no—
378C2×(C2×D43)⋊C4—21no—
379C2×(C2×D43)⋊C4—21no—
380C22⋊C4×D43—21no—
381C22⋊C4×D43—21no—
382C22⋊C4×D43—21no—
383#13063259C2311yescharacteristic
384#13063259C2311yescharacteristic
385#13063258C2311yescharacteristic
386#13063258C2311yescharacteristic
387#13063257C2311yescharacteristic
388#13063257C2311yescharacteristic
389#13063256C2311yescharacteristic
390#13063256C2311yescharacteristic
391#13063256C2311yescharacteristic
392#13063256C2311yescharacteristic
393#13063256C2311yescharacteristic
394#13063256C2311yescharacteristic
395C4⋊(C43⋊C8)C2311yescharacteristic
396C4⋊(C43⋊C8)C2311yescharacteristic
397Dic43⋊C8C2311yescharacteristic
398Dic43⋊C8C2311yescharacteristic
399Dic43⋊C8C2311yescharacteristic
400Dic43⋊C8C2311yescharacteristic
401#13063250C2311yescharacteristic
402#13063250C2311yescharacteristic
403#13063249C2311yescharacteristic
404#13063249C2311yescharacteristic
405#13063248C2311yescharacteristic
406#13063248C2311yescharacteristic
407#13063247C2311yescharacteristic
408#13063247C2311yescharacteristic
409#13063247C2311yescharacteristic
410#13063247C2311yescharacteristic
411#13063247C2311yescharacteristic
412#13063247C2311yescharacteristic
413#13063246C2311yescharacteristic
414#13063246C2311yescharacteristic
415#13063246C2311yescharacteristic
416#13063246C2311yescharacteristic
417#13063246C2311yescharacteristic
418#13063246C2311yescharacteristic
419#13063245C2311yescharacteristic
420#13063245C2311yescharacteristic
421#13063245C2311yescharacteristic
422#13063245C2311yescharacteristic
423#13063245C2311yescharacteristic
424#13063245C2311yescharacteristic
425C22⋊(C43⋊C8)C2311yescharacteristic
426C22⋊(C43⋊C8)C2311yescharacteristic
427(C2×D43)⋊C8C2311yescharacteristic
428(C2×D43)⋊C8C2311yescharacteristic
429(C2×D43)⋊C8C2311yescharacteristic
430(C2×D43)⋊C8C2311yescharacteristic
431#13063236C2311yescharacteristic
432#13063236C2311yescharacteristic
433#13063235C2311yescharacteristic
434#13063235C2311yescharacteristic
435C8×Dic43C2311yescharacteristic
436C8×Dic43C2311yescharacteristic
437C2×#41×C43C2311yescharacteristic
438C22×D4×C43C2311yescharacteristic
439C23×C4×C43—21no—
440AGL(1,ℤ/8)×C43—24no—
441C2×SD16×C43C2311yescharacteristic
442C2×SD16×C43C2311yescharacteristic
443C2×D8×C43C2311yescharacteristic
444C2×D8×C43C2311yescharacteristic
445C2×M16×C43C2311yescharacteristic
446C2×M16×C43C2311yescharacteristic
447C4×Q8×C43C2311yescharacteristic
448C4×Q8×C43C2311yescharacteristic
449C4×D4×C43—21no—
450C4×D4×C43—21no—
451C4×D4×C43—21no—
452C4×D4×C43—21no—
453C4×D4×C43C2311yescharacteristic
454C4×D4×C43C2311yescharacteristic
455C4×D4×C43C2311yescharacteristic
456C4×D4×C43C2311yescharacteristic
457C4×D4×C43C2311yescharacteristic
458C4×D4×C43C2311yescharacteristic
459#117×C43—21no—
460#117×C43C2311yescharacteristic
461C2×C4⋊C4×C43C2311yescharacteristic
462C2×C22⋊C4×C43—21no—
463C2×C42×C43—21no—
464C2×C42×C43C2311yescharacteristic
465#107×C43C2311yescharacteristic
466#107×C43C2311yescharacteristic
467#106×C43C2311yescharacteristic
468#106×C43C2311yescharacteristic
469#103×C43C2311yescharacteristic
470#103×C43C2311yescharacteristic
471#102×C43C2311yescharacteristic
472#102×C43C2311yescharacteristic
473#102×C43C2311yescharacteristic
474#102×C43C2311yescharacteristic
475#102×C43C2311yescharacteristic
476#102×C43C2311yescharacteristic
477#97×C43C2311yescharacteristic
478#97×C43C2311yescharacteristic
479C4×C8×C43C2311yescharacteristic
480C4×C8×C43C2311yescharacteristic
481C24×C43—21no—
482C23×D43—21no—
483C23×D43—21no—
484C23×D43—21no—
485#41×C43—22no—
486#41×C43—41no—
487C2×Q8×C43C2411yescharacteristic
488C2×D4×C43—21no—
489C2×D4×C43—21no—
490C2×D4×C43—22no—
491C2×D4×C43—41no—
492C2×D4×C43C2411yescharacteristic
493C2×D4×C43C2411yescharacteristic
494C2×D4×C43C2411yescharacteristic
495C22×C4×C43—21no—
496C22×C4×C43—21no—
497C22×C4×C43—21no—
498C22×C4×C43—21no—
499C22×C4×C43—21no—
500C22×C4×C43—21no—
501C22×C4×C43—21no—
502C22×C4×C43—21no—
503C22×C4×C43—82no—
504C22×C4×C43C2×D411yescharacteristic
505C22×C4×C43C2×D411yescharacteristic
506C22×C4×C43C2411yescharacteristic
507C2×C22⋊D43—21no—
508C2×C22⋊D43—21no—
509C2×C22⋊D43—21no—
510C2×C22⋊D43—21no—
511C2×C22⋊D43—21no—
512C2×C22⋊D43—21no—
513C2×C22⋊D43—21no—
514C2×C22⋊D43—21no—
515C2×C22⋊D43—21no—
516C2×C22⋊D43—21no—
517C2×C22⋊D43—21no—
518C2×C22⋊D43—82no—
519C2×C22⋊D43C2×D411yescharacteristic
520C2×C22⋊D43C2×D411yescharacteristic
521C22×Dic43—21no—
522C22×Dic43—21no—
523C22×Dic43—21no—
524C22×Dic43—21no—
525C22×Dic43—21no—
526#10621900—22no—
527#10621900—41no—
528D4×D43—22no—
529D4×D43—22no—
530D4×D43—22no—
531D4×D43—41no—
532D4×D43—41no—
533D4×D43—41no—
534#10621898—82no—
535#10621898—82no—
536C2×D172—21no—
537C2×D172—21no—
538C2×D172—21no—
539C2×D172—21no—
540C2×D172—21no—
541C2×D172—82no—
542C2×D172C2×D411yescharacteristic
543C2×D172C2411yescharacteristic
544C2×D172C2411yescharacteristic
545C2×D172C2411yescharacteristic
546C2×C4×D43—21no—
547C2×C4×D43—21no—
548C2×C4×D43—21no—
549C2×C4×D43—21no—
550C2×C4×D43—21no—
551C2×C4×D43—21no—
552C2×C4×D43—21no—
553C2×C4×D43C2411yescharacteristic
554C2×C4×D43C2411yescharacteristic
555C2×Dic86—21no—
556C2×Dic86—21no—
557C2×Dic86—21no—
558C2×Dic86—21no—
559C2×Dic86—82no—
560C2×Dic86C2×D411yescharacteristic
561C2×Dic86C2411yescharacteristic
562SD16×C43—22no—
563SD16×C43—22no—
564D8×C43—22no—
565D8×C43#4114yescomplemented
566M16×C43—22no—
567M16×C43—41no—
568C2×C8×C43C2411yescharacteristic
569C2×C8×C43C2411yescharacteristic
570C2×C8×C43C2411yescharacteristic
571C2×C8×C43C2411yescharacteristic
572C4⋊C4×C43—21no—
573C4⋊C4×C43—21no—
574C4⋊C4×C43—21no—
575C4⋊C4×C43C2411yescharacteristic
576C4⋊C4×C43C2411yescharacteristic
577C4⋊C4×C43C2411yescharacteristic
578C4⋊C4×C43C2411yescharacteristic
579C22⋊C4×C43—21no—
580C22⋊C4×C43—21no—
581C22⋊C4×C43—21no—
582C22⋊C4×C43—21no—
583C22⋊C4×C43—21no—
584C22⋊C4×C43—21no—
585C22⋊C4×C43—21no—
586C42×C43—21no—
587C42×C43—21no—
588C42×C43—21no—
589C42×C43C2×D411yescharacteristic
590C42×C43C2×D411yescharacteristic
591C42×C43C2411yescharacteristic
592C42×C43C2411yescharacteristic
593C22⋊Dic43—21no—
594C22⋊Dic43—21no—
595C22⋊Dic43—21no—
596C22⋊Dic43—21no—
597C22⋊Dic43—21no—
598C22⋊Dic43—21no—
599C22⋊Dic43—21no—
600C22⋊Dic43—21no—
601C22⋊Dic43—21no—
602C22⋊Dic43C2×D411yescharacteristic
603C22⋊Dic43C2×D411yescharacteristic
604#10621885—41no—
605#10621884—41no—
606#10621883—22no—
607#10621882—22no—
608#10621882—22no—
609#10621882—22no—
610#10621882—41no—
611#10621882—41no—
612(C2×D43)⋊C4—21no—
613(C2×D43)⋊C4—21no—
614(C2×D43)⋊C4—21no—
615(C2×D43)⋊C4—21no—
616(C2×D43)⋊C4—21no—
617(C2×D43)⋊C4—21no—
618(C2×D43)⋊C4—21no—
619(C2×D43)⋊C4—21no—
620(C2×D43)⋊C4—21no—
621(C2×D43)⋊C4—21no—
622(C2×D43)⋊C4—21no—
623(C2×D43)⋊C4—21no—
624(C2×D43)⋊C4—21no—
625(C2×D43)⋊C4—21no—
626(C2×D43)⋊C4—21no—
627(C2×D43)⋊C4—21no—
628(C2×D43)⋊C4—21no—
629(C2×D43)⋊C4—21no—
630(C2×D43)⋊C4—21no—
631(C2×D43)⋊C4—21no—
632(C2×D43)⋊C4—21no—
633(C2×D43)⋊C4—21no—
634(C2×D43)⋊C4—21no—
635(C2×D43)⋊C4—21no—
636(C2×D43)⋊C4C2×D411yescharacteristic
637(C2×D43)⋊C4C2×D411yescharacteristic
638(C2×D43)⋊C4C2×D411yescharacteristic
639(C2×D43)⋊C4C2×D411yescharacteristic
640(C2×D43)⋊C4C2×D411yescharacteristic
641(C2×D43)⋊C4C2×D411yescharacteristic
642(C2×D43)⋊C4C2×D411yescharacteristic
643(C2×D43)⋊C4C2×D411yescharacteristic
644C4⋊Dic43—21no—
645C4⋊Dic43—21no—
646C4⋊Dic43—21no—
647C4⋊Dic43C2×D411yescharacteristic
648C4⋊Dic43C2×D411yescharacteristic
649C4⋊Dic43C2411yescharacteristic
650C4⋊Dic43C2411yescharacteristic
651C4⋊Dic43C2411yescharacteristic
652C4⋊Dic43C2411yescharacteristic
653Dic43⋊C4—21no—
654Dic43⋊C4—21no—
655Dic43⋊C4—21no—
656Dic43⋊C4—21no—
657Dic43⋊C4—21no—
658Dic43⋊C4—21no—
659Dic43⋊C4—21no—
660Dic43⋊C4—21no—
661Dic43⋊C4—21no—
662Dic43⋊C4—21no—
663Dic43⋊C4—21no—
664Dic43⋊C4—21no—
665Dic43⋊C4C2×D411yescharacteristic
666Dic43⋊C4C2×D411yescharacteristic
667Dic43⋊C4C2×D411yescharacteristic
668Dic43⋊C4C2×D411yescharacteristic
669Dic43⋊C4C2×D411yescharacteristic
670Dic43⋊C4C2×D411yescharacteristic
671Dic43⋊C4C2×D411yescharacteristic
672Dic43⋊C4C2×D411yescharacteristic
673C4×Dic43—21no—
674C4×Dic43—21no—
675C4×Dic43—21no—
676C4×Dic43—21no—
677C4×Dic43—21no—
678C4×Dic43C2411yescharacteristic
679C4×Dic43C2411yescharacteristic
680C2×C43⋊C8C2411yescharacteristic
681C2×C43⋊C8C2411yescharacteristic
682C2×C43⋊C8C2411yescharacteristic
683C2×C43⋊C8C2411yescharacteristic
684D344—22no—
685D344—41no—
686#10621873—22no—
687#10621873—41no—
688#10621872—22no—
689#10621872—41no—
690C8×D43—22no—
691C8×D43—41no—
692C23×C43—21no—
693C23×C43—21no—
694C23×C43—21no—
695C23×C43—42no—
696C23×C43—42no—
697C23×C43—81no—
698C23×C43C22×D411yescharacteristic
699C22×D43—21no—
700C22×D43—21no—
701C22×D43—21no—
702C22×D43—42no—
703C22×D43—42no—
704C22×D43—42no—
705C22×D43—81no—
706C22×D43—81no—
707C22×D43—81no—
708C22×D43—81no—
709C22×D43—81no—
710C22×D43—81no—
711C22×D43C22×D411yescharacteristic
712C22×D43C22×D411yescharacteristic
713Q8×C43—21no—
714Q8×C43—21no—
715D4×C43—21no—
716D4×C43—21no—
717D4×C43—21no—
718D4×C43—21no—
719D4×C43—42no—
720D4×C43—42no—
721D4×C43C2×#4112yes—
722D4×C43C2×#4112yes—
723C2×C4×C43—21no—
724C2×C4×C43—21no—
725C2×C4×C43—21no—
726C2×C4×C43—21no—
727C2×C4×C43—21no—
728C2×C4×C43—21no—
729C2×C4×C43—21no—
730C2×C4×C43—41no—
731C2×C4×C43—41no—
732C2×C4×C43—42no—
733C2×C4×C43—42no—
734C2×C4×C43—42no—
735C2×C4×C43—81no—
736C2×C4×C43—81no—
737C2×C4×C43—81no—
738C2×C4×C43—81no—
739C2×C4×C43—81no—
740C2×C4×C43C22×D411yescharacteristic
741C2×C4×C43C22×D411yescharacteristic
742C2×C4×C43C22×D411yescharacteristic
743C2×C4×C43C22×D411yescharacteristic
744C2×C4×C43C22×D411yescharacteristic
745C2×C4×C43C2511yescharacteristic
746C22⋊D43—41no—
747C22⋊D43—41no—
748C22⋊D43—42no—
749C22⋊D43—42no—
750C22⋊D43—42no—
751C22⋊D43—42no—
752C22⋊D43—42no—
753C22⋊D43—81no—
754C22⋊D43—81no—
755C22⋊D43—81no—
756C22⋊D43—81no—
757C22⋊D43—81no—
758C22⋊D43—81no—
759C2×Dic43—21no—
760C2×Dic43—21no—
761C2×Dic43—21no—
762C2×Dic43—21no—
763C2×Dic43—21no—
764C2×Dic43—42no—
765C2×Dic43—81no—
766C2×Dic43—81no—
767C2×Dic43—81no—
768C2×Dic43—81no—
769C2×Dic43C22×D411yescharacteristic
770C2×Dic43C22×D411yescharacteristic
771C2×Dic43C22×D411yescharacteristic
772C2×Dic43C22×D411yescharacteristic
773C2×Dic43C22×D411yescharacteristic
774C2×Dic43C22×D411yescharacteristic
775D172—21no—
776D172—21no—
777D172—21no—
778D172—21no—
779D172—21no—
780D172—21no—
781D172—41no—
782D172—42no—
783D172—81no—
784D172—81no—
785D172—81no—
786D172—81no—
787C4×D43—21no—
788C4×D43—21no—
789C4×D43—21no—
790C4×D43—21no—
791C4×D43—81no—
792C4×D43—81no—
793C4×D43—81no—
794C4×D43—81no—
795C4×D43—81no—
796C4×D43—81no—
797C4×D43—81no—
798Dic86—21no—
799Dic86—21no—
800Dic86—41no—
801Dic86—42no—
802Dic86—81no—
803Dic86—81no—
804Dic86—81no—
805C8×C43—21no—
806C8×C43—21no—
807C8×C43—21no—
808C8×C43C2×#4112yes—
809C43⋊C8—21no—
810C43⋊C8—21no—
811C43⋊C8—21no—
812C43⋊C8—21no—
813#61505—431nomaximal, Sylow
814C22×C43—21no—
815C22×C43—21no—
816C22×C43—22no—
817C22×C43—22no—
818C22×C43—21no—
819C22×C43—41no—
820C22×C43—41no—
821C22×C43—41no—
822C22×C43—41no—
823C22×C43—41no—
824C22×C43—41no—
825C22×C43—41no—
826C22×C43—84no—
827C22×C43C23×D411yescharacteristic
828C2×D43—21no—
829C2×D43—21no—
830C2×D43—21no—
831C2×D43—21no—
832C2×D43—21no—
833C2×D43—21no—
834C2×D43—41no—
835C2×D43—41no—
836C2×D43—41no—
837C2×D43—41no—
838C2×D43—41no—
839C2×D43—41no—
840C2×D43—41no—
841C2×D43—41no—
842C2×D43—41no—
843C2×D43—162no—
844C2×D43—162no—
845C2×D43—162no—
846C4×C43—21no—
847C4×C43—21no—
848C4×C43—21no—
849C4×C43—21no—
850C4×C43—21no—
851C4×C43—41no—
852C4×C43—41no—
853C4×C43—41no—
854C4×C43—41no—
855C4×C43—41no—
856C4×C43C22×#4111yescharacteristic
857C4×C43#58511yescharacteristic
858Dic43—21no—
859Dic43—21no—
860Dic43—21no—
861Dic43—21no—
862Dic43—21no—
863Dic43—21no—
864Dic43—41no—
865Dic43—41no—
866Dic43—41no—
867Dic43—41no—
868Dic43—41no—
869#3514—431no—
870#3513—431no—
871#3403—431no—
872#3384—431no—
873#3373—431no—
874#3370—431no—
875#3354—431no—
876#3350—431no—
877#3348—431no—
878#3325—431no—
879#3323—431no—
880#3319—431no—
881#3318—431no—
882#3311—431no—
883#3306—431no—
884#3273—431no—
885#3264—431no—
886#3264—431no—
887#3179—431no—
888#3173—431no—
889#3171—431no—
890#3125—431no—
891#3122—431no—
892#3118—431no—
893#3118—431no—
894#3111—431no—
895#3109—431no—
896#2967—431no—
897#2948—431no—
898#2946—431no—
899C4×AGL(1,ℤ/8)D4311yescharacteristic, complemented
900C2×C43—42no—
901C2×C43—42no—
902C2×C43—41no—
903C2×C43—81no—
904C2×C43D4×#4111yescharacteristic
905C2×C43#358511yescharacteristic
906C2×C43#358511yescharacteristic
907D43—41no—
908D43—41no—
909D43—81no—
910D43—81no—
911D43—81no—
912C2×AGL(1,ℤ/8)—431no—
913C2×AGL(1,ℤ/8)C2×D4311yescharacteristic
914C22×D8—431no—
915#559—431no—
916#559—431no—
917#556—431no—
918#555—431no—
919#555—431no—
920#554—431no—
921#553—431no—
922#553—861no—
923#552—431no—
924#551—861no—
925#551—861no—
926#551—861no—
927#551—861no—
928D4×Q8—431no—
929#548—861no—
930#547—431no—
931#546—431no—
932#546—431no—
933#546—431no—
934#546—431no—
935#546—861no—
936#546—861no—
937D42—431no—
938D42—431no—
939#542—431no—
940#542—431no—
941#542—431no—
942#540—431no—
943#539—861no—
944#538—861no—
945#538—861no—
946#538—861no—
947#532—431no—
948#529—431no—
949#529—431no—
950#529—861no—
951C2×#124—861no—
952#525—861no—
953C2×#123—861no—
954#520—431no—
955#518—431no—
956#518—431no—
957#518—431no—
958C4×#41C2×D4311yescharacteristic, complemented
959C2×C4×D4C2×D4311yescharacteristic, complemented
960#501—431no—
961#501—431no—
962#498—431no—
963#496—431no—
964#496—431no—
965#495—431no—
966#490—431no—
967#489—431no—
968#489—431no—
969#489—431no—
970#488—431no—
971#486—431no—
972#485—431no—
973#485—431no—
974#485—431no—
975#483—431no—
976#482—431no—
977#482—431no—
978#482—431no—
979#482—431no—
980#482—431no—
981#481—431no—
982#481—431no—
983#481—431no—
984#479—431no—
985#478—431no—
986#478—431no—
987#478—431no—
988#476—431no—
989#476—431no—
990#476—431no—
991#476—431no—
992#476—431no—
993#475—431no—
994#474—431no—
995#474—431no—
996#470—431no—
997#469—431no—
998#469—431no—
999#469—431no—
1000#469—431no—
1001#468—431no—
1002#468—431no—
1003#468—431no—
1004#466—431no—
1005#465—431no—
1006#465—431no—
1007#465—431no—
1008#464—431no—
1009#464—431no—
1010#463—431no—
1011#463—431no—
1012#463—431no—
1013#463—431no—
1014#463—431no—
1015#463—431no—
1016#459—431no—
1017#459—431no—
1018#459—431no—
1019#459—431no—
1020#452—431no—
1021#452—431no—
1022#450—431no—
1023#450—431no—
1024#449—431no—
1025#449—431no—
1026#447—431no—
1027#447—431no—
1028#447—431no—
1029#447—431no—
1030#447—431no—
1031#447—431no—
1032#446—431no—
1033#446—431no—
1034#442—431no—
1035#442—431no—
1036#442—431no—
1037#442—431no—
1038#442—431no—
1039#442—431no—
1040#442—431no—
1041#442—431no—
1042#442C2×D4311yescharacteristic
1043#442C2×D4311yescharacteristic, complemented
1044#441—431no—
1045#440—431no—
1046#440—431no—
1047#440—431no—
1048#440C2×D4311yescharacteristic, complemented
1049#440C2×D4311yescharacteristic, complemented
1050C4×SD16—431no—
1051C4×SD16—431no—
1052C4×SD16—431no—
1053C4×SD16C2×D4311yescharacteristic, complemented
1054C4×SD16C2×D4311yescharacteristic, complemented
1055C4×D8—431no—
1056C4×D8—431no—
1057C4×D8—431no—
1058C4×D8—431no—
1059C4×D8—431no—
1060C4×D8C2×D4311yescharacteristic
1061C4×D8C2×D4311yescharacteristic, complemented
1062#436—431no—
1063#436—431no—
1064#435—431no—
1065#435—431no—
1066#435—431no—
1067#435—431no—
1068#433—431no—
1069#433—431no—
1070#432—431no—
1071#428—431no—
1072#428C2×D4311yescharacteristic, complemented
1073#427—431no—
1074#418—431no—
1075#418—431no—
1076#418C2×D4311yescharacteristic, complemented
1077#417C2×D4311yescharacteristic, complemented
1078#416—431no—
1079C2×#102—431no—
1080#405—431no—
1081#405—431no—
1082C4×M16C2×D4311yescharacteristic, complemented
1083C43#6150511yescharacteristic, complemented, Sylow
1084C2×#41—431no—
1085C2×#41—861no—
1086C2×#41—861no—
1087C2×#41C22×D4311yescharacteristic
1088C22×Q8—861no—
1089C22×D4—431no—
1090C22×D4—431no—
1091C22×D4—431no—
1092C22×D4—861no—
1093C22×D4—861no—
1094C22×D4C22×D4311yescharacteristic
1095C23×C4—21no—
1096AGL(1,ℤ/8)—24no—
1097AGL(1,ℤ/8)—864no—
1098C2×Q16—431no—
1099C2×SD16—431no—
1100C2×SD16—431no—
1101C2×SD16—431no—
1102C2×SD16—431no—
1103C2×SD16C22×D4311yescharacteristic
1104C2×SD16C22×D4311yescharacteristic
1105C2×D8—431no—
1106C2×D8—431no—
1107C2×D8—431no—
1108C2×D8—431no—
1109C2×D8—431no—
1110C2×D8—431no—
1111C2×D8—431no—
1112C2×D8—864no—
1113C2×D8C22×D4311yescharacteristic
1114C2×D8C22×D4311yescharacteristic
1115C2×M16—431no—
1116C2×M16—431no—
1117C2×M16C22×D4311yescharacteristic
1118C2×M16C22×D4311yescharacteristic
1119C22×C8—431no—
1120C22×C8—431no—
1121C4⋊Q8—431no—
1122C4⋊Q8—431no—
1123C4⋊Q8—431no—
1124C4⋊Q8—431no—
1125#127—431no—
1126#127—431no—
1127#126—431no—
1128#126—431no—
1129#126—861no—
1130#126—861no—
1131#126—861no—
1132#126—861no—
1133#126—861no—
1134#126—861no—
1135#126—861no—
1136#126—861no—
1137#125—431no—
1138#125—431no—
1139#125—431no—
1140#125—861no—
1141#124—431no—
1142#124—431no—
1143#124—431no—
1144#124—431no—
1145#124—431no—
1146#124—861no—
1147#124—861no—
1148#124—861no—
1149#124—861no—
1150#124—861no—
1151#124—861no—
1152#124—861no—
1153#124—861no—
1154#124—861no—
1155#124—861no—
1156#124—861no—
1157#123—431no—
1158#123—431no—
1159#123—861no—
1160#123—861no—
1161#123—861no—
1162#123—861no—
1163#123—861no—
1164#123—861no—
1165#123—861no—
1166#123—861no—
1167#123—861no—
1168#123—861no—
1169#123—861no—
1170#123—861no—
1171#123—861no—
1172#123—861no—
1173#123—861no—
1174#123—861no—
1175#123—861no—
1176#123—861no—
1177C22⋊Q8—431no—
1178C22⋊Q8—431no—
1179C22⋊Q8—431no—
1180C22⋊Q8—431no—
1181C22⋊Q8—431no—
1182C22⋊Q8—861no—
1183C22⋊Q8—861no—
1184C22⋊Q8—861no—
1185C22⋊Q8—861no—
1186C22⋊Q8—861no—
1187C22⋊Q8—861no—
1188C22⋊Q8—861no—
1189C22⋊Q8—861no—
1190C22⋊Q8—861no—
1191C22⋊Q8—861no—
1192#121—431no—
1193#121—431no—
1194#121—431no—
1195#121—431no—
1196#121—431no—
1197#121—431no—
1198#121—431no—
1199#121—431no—
1200#121—431no—
1201#121—861no—
1202#121—861no—
1203#121—861no—
1204#121—861no—
1205#121—861no—
1206#121—861no—
1207#121—861no—
1208#121—861no—
1209#121—861no—
1210#121—861no—
1211#121—861no—
1212#121—861no—
1213#120—861no—
1214#120—861no—
1215#120—861no—
1216#120—861no—
1217#120—861no—
1218#120—861no—
1219#120—861no—
1220#120—861no—
1221C4×Q8—431no—
1222C4×Q8—431no—
1223C4×Q8—431no—
1224C4×Q8—861no—
1225C4×Q8C22×D4311yescharacteristic
1226C4×Q8C22×D4311yescharacteristic
1227C4×D4—21no—
1228C4×D4—21no—
1229C4×D4—21no—
1230C4×D4—21no—
1231C4×D4—431no—
1232C4×D4—431no—
1233C4×D4—431no—
1234C4×D4—431no—
1235C4×D4—431no—
1236C4×D4—431no—
1237C4×D4—431no—
1238C4×D4—431no—
1239C4×D4—431no—
1240C4×D4—431no—
1241C4×D4—431no—
1242C4×D4—431no—
1243C4×D4—431no—
1244C4×D4—861no—
1245C4×D4—861no—
1246C4×D4—861no—
1247C4×D4—861no—
1248C4×D4—861no—
1249C4×D4—861no—
1250C4×D4—861no—
1251C4×D4—861no—
1252C4×D4—861no—
1253C4×D4—861no—
1254C4×D4—861no—
1255C4×D4—861no—
1256C4×D4—861no—
1257C4×D4C22×D4311yescharacteristic
1258C4×D4C22×D4311yescharacteristic
1259C4×D4C22×D4311yescharacteristic
1260C4×D4C22×D4311yescharacteristic
1261C4×D4C22×D4311yescharacteristic
1262C4×D4C22×D4311yescharacteristic
1263#117—21no—
1264#117—431no—
1265#117—431no—
1266#117—431no—
1267#117—431no—
1268#117—431no—
1269#117—861no—
1270#117—861no—
1271#117—861no—
1272#117—861no—
1273#117—861no—
1274#117C22×D4311yescharacteristic
1275C2×C4⋊C4—431no—
1276C2×C4⋊C4—861no—
1277C2×C4⋊C4—861no—
1278C2×C4⋊C4C22×D4311yescharacteristic
1279C2×C22⋊C4—21no—
1280C2×C22⋊C4—861no—
1281C2×C22⋊C4—861no—
1282C2×C22⋊C4—861no—
1283C2×C22⋊C4—861no—
1284C2×C22⋊C4—861no—
1285C2×C22⋊C4—861no—
1286C2×C22⋊C4—861no—
1287C2×C22⋊C4—861no—
1288C2×C22⋊C4—861no—
1289C2×C22⋊C4—861no—
1290C2×C42—21no—
1291C2×C42C22×D4311yescharacteristic
1292#107—431no—
1293#107—431no—
1294#107—431no—
1295#107—431no—
1296#107C22×D4311yescharacteristic
1297#107C22×D4311yescharacteristic
1298#106—431no—
1299#106—431no—
1300#106—431no—
1301#106—431no—
1302#106—431no—
1303#106—431no—
1304#106—431no—
1305#106—431no—
1306#106C22×D4311yescharacteristic
1307#106C22×D4311yescharacteristic
1308C4⋊C8—431no—
1309C4⋊C8—431no—
1310C4⋊C8—431no—
1311C4⋊C8—431no—
1312C4⋊C8—431no—
1313C4⋊C8—431no—
1314#103—431no—
1315#103—431no—
1316#103—431no—
1317#103—431no—
1318#103—431no—
1319#103—431no—
1320#103C22×D4311yescharacteristic
1321#103C22×D4311yescharacteristic
1322#102—431no—
1323#102—431no—
1324#102—431no—
1325#102—431no—
1326#102—431no—
1327#102—431no—
1328#102—431no—
1329#102—431no—
1330#102—431no—
1331#102—431no—
1332#102—431no—
1333#102—431no—
1334#102—431no—
1335#102—431no—
1336#102—431no—
1337#102—431no—
1338#102—431no—
1339#102—431no—
1340#102C22×D4311yescharacteristic
1341#102C22×D4311yescharacteristic
1342#102C22×D4311yescharacteristic
1343#102C22×D4311yescharacteristic
1344#102C22×D4311yescharacteristic
1345#102C22×D4311yescharacteristic
1346C22⋊C8—431no—
1347C22⋊C8—431no—
1348C22⋊C8—431no—
1349C22⋊C8—431no—
1350C22⋊C8—431no—
1351C22⋊C8—431no—
1352#97—431no—
1353#97—431no—
1354#97—431no—
1355#97—431no—
1356#97C22×D4311yescharacteristic
1357#97C22×D4311yescharacteristic
1358C4×C8—431no—
1359C4×C8—431no—
1360C4×C8C22×D4311yescharacteristic
1361C4×C8C22×D4311yescharacteristic
1362C24—21no—
1363C24—861no—
1364C24—861no—
1365C24—861no—
1366#41—22no—
1367#41—41no—
1368#41—862no—
1369#41—3442no—
1370#41—3442no—
1371#41—1721no—
1372C2×Q8—431no—
1373C2×Q8—431no—
1374C2×Q8—861no—
1375C2×Q8—861no—
1376C2×Q8—861no—
1377C2×Q8—861no—
1378C2×Q8—3442no—
1379C2×Q8C23×D4311yescharacteristic
1380C2×D4—22no—
1381C2×D4—21no—
1382C2×D4—21no—
1383C2×D4—41no—
1384C2×D4—431no—
1385C2×D4—431no—
1386C2×D4—431no—
1387C2×D4—431no—
1388C2×D4—431no—
1389C2×D4—431no—
1390C2×D4—861no—
1391C2×D4—861no—
1392C2×D4—861no—
1393C2×D4—861no—
1394C2×D4—861no—
1395C2×D4—861no—
1396C2×D4—861no—
1397C2×D4—861no—
1398C2×D4—862no—
1399C2×D4—862no—
1400C2×D4—862no—
1401C2×D4—861no—
1402C2×D4—861no—
1403C2×D4—861no—
1404C2×D4—861no—
1405C2×D4—861no—
1406C2×D4—861no—
1407C2×D4—861no—
1408C2×D4—861no—
1409C2×D4—3442no—
1410C2×D4—3442no—
1411C2×D4—1721no—
1412C2×D4—1721no—
1413C2×D4—1721no—
1414C2×D4C23×D4311yescharacteristic
1415C2×D4C23×D4311yescharacteristic
1416C2×D4C23×D4311yescharacteristic
1417C22×C4—21no—
1418C22×C4—21no—
1419C22×C4—21no—
1420C22×C4—21no—
1421C22×C4—21no—
1422C22×C4—21no—
1423C22×C4—21no—
1424C22×C4—21no—
1425C22×C4—82no—
1426C22×C4—431no—
1427C22×C4—431no—
1428C22×C4—861no—
1429C22×C4—861no—
1430C22×C4—861no—
1431C22×C4—861no—
1432C22×C4—861no—
1433C22×C4—861no—
1434C22×C4—861no—
1435C22×C4—861no—
1436C22×C4—861no—
1437C22×C4—861no—
1438C22×C4—861no—
1439C22×C4—861no—
1440C22×C4D4×D4311yescharacteristic
1441C22×C4D4×D4311yescharacteristic
1442C22×C4C23×D4311yescharacteristic
1443Q16—1721no—
1444SD16—22no—
1445SD16—22no—
1446SD16—862no—
1447SD16—862no—
1448SD16—1721no—
1449SD16—1721no—
1450D8—22no—
1451D8—862no—
1452D8—862no—
1453D8—862no—
1454D8—862no—
1455D8—1721no—
1456D8—1721no—
1457D8—1721no—
1458D8#1062189814yescomplemented
1459M16—22no—
1460M16—41no—
1461M16—862no—
1462M16—1721no—
1463C2×C8—431no—
1464C2×C8—431no—
1465C2×C8—431no—
1466C2×C8—431no—
1467C2×C8—862no—
1468C2×C8—1721no—
1469C2×C8C23×D4311yescharacteristic
1470C2×C8C23×D4311yescharacteristic
1471C2×C8C23×D4311yescharacteristic
1472C2×C8C23×D4311yescharacteristic
1473C4⋊C4—21no—
1474C4⋊C4—21no—
1475C4⋊C4—21no—
1476C4⋊C4—431no—
1477C4⋊C4—431no—
1478C4⋊C4—431no—
1479C4⋊C4—431no—
1480C4⋊C4—431no—
1481C4⋊C4—431no—
1482C4⋊C4—431no—
1483C4⋊C4—431no—
1484C4⋊C4—431no—
1485C4⋊C4—431no—
1486C4⋊C4—431no—
1487C4⋊C4—431no—
1488C4⋊C4—431no—
1489C4⋊C4—431no—
1490C4⋊C4—861no—
1491C4⋊C4—861no—
1492C4⋊C4—861no—
1493C4⋊C4—861no—
1494C4⋊C4—861no—
1495C4⋊C4—861no—
1496C4⋊C4—861no—
1497C4⋊C4—861no—
1498C4⋊C4—861no—
1499C4⋊C4—861no—
1500C4⋊C4—861no—
1501C4⋊C4—861no—
1502C4⋊C4—861no—
1503C4⋊C4—861no—
1504C4⋊C4—861no—
1505C4⋊C4C23×D4311yescharacteristic
1506C4⋊C4C23×D4311yescharacteristic
1507C4⋊C4C23×D4311yescharacteristic
1508C4⋊C4C23×D4311yescharacteristic
1509C22⋊C4—21no—
1510C22⋊C4—21no—
1511C22⋊C4—21no—
1512C22⋊C4—21no—
1513C22⋊C4—21no—
1514C22⋊C4—21no—
1515C22⋊C4—21no—
1516C22⋊C4—431no—
1517C22⋊C4—431no—
1518C22⋊C4—431no—
1519C22⋊C4—431no—
1520C22⋊C4—431no—
1521C22⋊C4—431no—
1522C22⋊C4—431no—
1523C22⋊C4—431no—
1524C22⋊C4—431no—
1525C22⋊C4—431no—
1526C22⋊C4—861no—
1527C22⋊C4—861no—
1528C22⋊C4—861no—
1529C22⋊C4—861no—
1530C22⋊C4—861no—
1531C22⋊C4—861no—
1532C22⋊C4—861no—
1533C22⋊C4—861no—
1534C22⋊C4—861no—
1535C22⋊C4—861no—
1536C22⋊C4—861no—
1537C22⋊C4—861no—
1538C22⋊C4—861no—
1539C22⋊C4—861no—
1540C22⋊C4—861no—
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—861no—
1556C22⋊C4—861no—
1557C22⋊C4—861no—
1558C22⋊C4—861no—
1559C42—21no—
1560C42—21no—
1561C42—21no—
1562C42—431no—
1563C42—431no—
1564C42—861no—
1565C42—861no—
1566C42—861no—
1567C42—861no—
1568C42—861no—
1569C42D4×D4311yescharacteristic
1570C42D4×D4311yescharacteristic
1571C42C23×D4311yescharacteristic
1572C42C23×D4311yescharacteristic
1573C23—21no—
1574C23—21no—
1575C23—21no—
1576C23—42no—
1577C23—42no—
1578C23—81no—
1579C23—431no—
1580C23—431no—
1581C23—861no—
1582C23—861no—
1583C23—861no—
1584C23—3441no—
1585C23—3441no—
1586C23—3441no—
1587C23—3441no—
1588C23—3441no—
1589C23—3441no—
1590C23—1722no—
1591C23—1722no—
1592C23—1722no—
1593C23C2×D4×D4311yescharacteristic
1594Q8—21no—
1595Q8—21no—
1596Q8—861no—
1597Q8—861no—
1598Q8—3441no—
1599Q8—3441no—
1600Q8—3441no—
1601Q8—1721no—
1602Q8—1722no—
1603D4—21no—
1604D4—21no—
1605D4—21no—
1606D4—21no—
1607D4—42no—
1608D4—42no—
1609D4—861no—
1610D4—861no—
1611D4—861no—
1612D4—861no—
1613D4—861no—
1614D4—861no—
1615D4—3441no—
1616D4—3441no—
1617D4—3441no—
1618D4—3441no—
1619D4—3441no—
1620D4—3441no—
1621D4—3441no—
1622D4—3441no—
1623D4—3441no—
1624D4—3441no—
1625D4—1721no—
1626D4—1722no—
1627D4—1721no—
1628D4—1721no—
1629D4—1722no—
1630D4—1722no—
1631D4—1722no—
1632D4—1722no—
1633D4—1722no—
1634D4C2×#1062189812yes—
1635D4C2×#1062189812yes—
1636C2×C4—21no—
1637C2×C4—21no—
1638C2×C4—21no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—21no—
1642C2×C4—21no—
1643C2×C4—41no—
1644C2×C4—41no—
1645C2×C4—42no—
1646C2×C4—42no—
1647C2×C4—42no—
1648C2×C4—81no—
1649C2×C4—81no—
1650C2×C4—81no—
1651C2×C4—81no—
1652C2×C4—81no—
1653C2×C4—431no—
1654C2×C4—431no—
1655C2×C4—431no—
1656C2×C4—431no—
1657C2×C4—431no—
1658C2×C4—431no—
1659C2×C4—861no—
1660C2×C4—861no—
1661C2×C4—861no—
1662C2×C4—861no—
1663C2×C4—861no—
1664C2×C4—861no—
1665C2×C4—861no—
1666C2×C4—861no—
1667C2×C4—861no—
1668C2×C4—3441no—
1669C2×C4—3441no—
1670C2×C4—3441no—
1671C2×C4—3441no—
1672C2×C4—3441no—
1673C2×C4—3441no—
1674C2×C4—3441no—
1675C2×C4—3441no—
1676C2×C4—3441no—
1677C2×C4—3441no—
1678C2×C4—3441no—
1679C2×C4—1722no—
1680C2×C4C2×D4×D4311yescharacteristic
1681C2×C4C2×D4×D4311yescharacteristic
1682C2×C4C2×D4×D4311yescharacteristic
1683C2×C4C2×D4×D4311yescharacteristic
1684C2×C4C2×D4×D4311yescharacteristic
1685C2×C4C24×D4311yescharacteristic
1686C8—21no—
1687C8—21no—
1688C8—21no—
1689C8—861no—
1690C8—861no—
1691C8—861no—
1692C8—861no—
1693C8C2×#1062189812yes—
1694C22—21no—
1695C22—22no—
1696C22—22no—
1697C22—21no—
1698C22—21no—
1699C22—41no—
1700C22—41no—
1701C22—41no—
1702C22—41no—
1703C22—41no—
1704C22—41no—
1705C22—41no—
1706C22—84no—
1707C22—861no—
1708C22—861no—
1709C22—861no—
1710C22—861no—
1711C22—861no—
1712C22—861no—
1713C22—1721no—
1714C22—1721no—
1715C22—1721no—
1716C22—1721no—
1717C22—1721no—
1718C22—1721no—
1719C22—1721no—
1720C22—1721no—
1721C22—1721no—
1722C22—6882no—
1723C22—6882no—
1724C22—6882no—
1725C22C22×D4×D4311yescharacteristic
1726C4—21no—
1727C4—21no—
1728C4—21no—
1729C4—21no—
1730C4—21no—
1731C4—41no—
1732C4—41no—
1733C4—41no—
1734C4—41no—
1735C4—41no—
1736C4—861no—
1737C4—861no—
1738C4—861no—
1739C4—861no—
1740C4—861no—
1741C4—861no—
1742C4—1721no—
1743C4—1721no—
1744C4—1721no—
1745C4—1721no—
1746C4—1721no—
1747C4C22×#1062189811yescharacteristic
1748C4#1458373511yescharacteristic
1749C2—41no—
1750C2—42no—
1751C2—42no—
1752C2—81no—
1753C2—3441no—
1754C2—3441no—
1755C2—3441no—
1756C2—1721no—
1757C2—1721no—
1758C2D4×#1062189811yescharacteristic
1759C2#1914937111yescharacteristic
1760C2#1914937211yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC4×AGL(1,ℤ/8)×C43C2
socleC22×C43C23×D4
hypercenterC4×AGL(1,ℤ/8)D43
hypocenterC43#61505
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C2×C42 ◁ C4×AGL(1,ℤ/8)

Complements

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

NH ≅ G/Ntype
1. #19148556C2semidirect
2. #19148535C2semidirect
3. #19147684C2semidirect
4. #19147495C2semidirect
5. #19147388C2semidirect
6. #19147349C2semidirect
7. #19147186C2semidirect
8. #19147145C2semidirect
9. #19147111C2semidirect
10. #19146833C2semidirect
11. #19146812C2semidirect
12. #19146752C2semidirect
13. #19146741C2semidirect
14. #19146636C2semidirect
15. #19146557C2semidirect
16. #19146200C2semidirect
17. #19146077C2semidirect
18. #19146069C2semidirect
19. #19145274C2semidirect
20. #19145208C2semidirect
21. #19145190C2semidirect
22. #19144868C2semidirect
23. #19144835C2semidirect
24. #19144785C2semidirect
25. #19144775C2semidirect
26. #19144704C2semidirect
27. #19144686C2semidirect
28. #19143580C2semidirect
29. #19143442C2semidirect
30. #19143420C2semidirect
31. C4×AGL(1,ℤ/8)×C43C2semidirect
34. #14583634C22semidirect
35. #14583632C22semidirect
36. #14583622C22semidirect
38. #14583612C22semidirect
39. #14583608C22semidirect
42. #14583584C22semidirect
47. D4×Dic86C22semidirect
49. #14583550C22semidirect
52. #14583543C22semidirect
55. #14583537C22semidirect
56. D4×D172C22semidirect
57. D4×C22⋊D43C22semidirect
58. #14583521C22semidirect
59. #14583521C22semidirect
60. #14583514C22semidirect
61. #14583500C22semidirect
66. #14583449C22semidirect
69. #14583433C22semidirect
73. #14583378C22semidirect
74. #14583371C22semidirect
75. #14583371C22semidirect
76. #14583371C22semidirect
77. #14583308C22semidirect
78. #14583306C22semidirect
79. #14583296C22semidirect
80. #14583288C22semidirect
81. #14583285C22semidirect
82. #14583280C22semidirect
83. #14583264C22semidirect
84. #14583260C22semidirect
85. #14583259C22semidirect
86. #14583257C22semidirect
87. #14583255C22semidirect
88. #14583244C22semidirect
89. #14583242C22semidirect
90. #14583240C22semidirect
91. #14583239C22semidirect
92. #14583228C22semidirect
93. #14583226C22semidirect
94. #14583225C22semidirect
95. #14583223C22semidirect
96. #14583222C22semidirect
97. #14583221C22semidirect
98. #14583219C22semidirect
99. #14583217C22semidirect
100. #14583217C22semidirect
101. #14583206C22semidirect
102. #14583202C22semidirect
103. #14583199C22semidirect
104. #14583197C22semidirect
105. #14583189C22semidirect
106. #14583189C22semidirect
107. #14583188C22semidirect
108. #14583187C22semidirect
109. #14583187C22semidirect
110. #14583183C22semidirect
111. #14583178C22semidirect
112. #14583177C22semidirect
113. #14583156C22semidirect
114. #14583153C22semidirect
115. #14583152C22semidirect
116. #14583152C22semidirect
118. #14583145C22semidirect
119. #14583145C22semidirect
120. #14583142C22semidirect
121. #14583134C22semidirect
122. #14583131C22semidirect
123. #14583129C22semidirect
124. #14583125C22semidirect
125. #14583124C22semidirect
126. #14583121C22semidirect
127. #14583117C22semidirect
128. #14583116C22semidirect
129. #14583116C22semidirect
130. #14583114C22semidirect
131. #14583113C22semidirect
132. #14583112C22semidirect
134. #14583094C22semidirect
135. #14583093C22semidirect
137. #14583061C22semidirect
138. #14583058C22semidirect
139. #14583051C22semidirect
140. #14583048C22semidirect
144. #14583034C22semidirect
145. #14583033C22semidirect
146. #14583033C22semidirect
148. #14583031C22semidirect
149. #14583027C22semidirect
150. #14583027C22semidirect
152. #14583009C22semidirect
153. #14583009C22semidirect
154. #14583009C22semidirect
155. #14583009C22semidirect
156. #14583009C22semidirect
157. #14583008C22semidirect
158. #14583008C22semidirect
159. #14583004C22semidirect
160. #14582999C22semidirect
161. #14582998C22semidirect
162. #14582997C22semidirect
163. #14582990C22semidirect
164. C4×#10621873C22semidirect
165. C4×#10621873C22semidirect
166. C4×D344C22semidirect
167. C4×D344C22semidirect
169. #14582981C22semidirect
170. #14582979C22semidirect
171. #14582975C22semidirect
172. #14582975C22semidirect
173. #14582972C22semidirect
174. #14582972C22semidirect
175. #14582968C22semidirect
176. #14582968C22semidirect
177. #14582958C22semidirect
178. #14582958C22semidirect
179. #14582956C22semidirect
180. #14582940C22semidirect
181. #14582936C22semidirect
182. #14582902C22semidirect
183. #14582902C22semidirect
184. #14582892C22semidirect
185. #102×D43C22semidirect
186. #14582853C22semidirect
187. #14582853C22semidirect
189. C4×#41×C43C22semidirect
190. C2×C4×D4×C43C22semidirect
192. C43×#442C22semidirect
193. C43×#440C22semidirect
194. C43×#440C22semidirect
195. C4×SD16×C43C22semidirect
196. C4×SD16×C43C22semidirect
198. C4×D8×C43C22semidirect
199. C43×#428C22semidirect
200. C43×#418C22semidirect
201. C43×#417C22semidirect
202. C4×M16×C43C22semidirect
565. D8×C43#41semidirect
899. C4×AGL(1,ℤ/8)D43semidirect
958. C4×#41C2×D43semidirect
959. C2×C4×D4C2×D43semidirect
1043. #442C2×D43semidirect
1048. #440C2×D43semidirect
1049. #440C2×D43semidirect
1053. C4×SD16C2×D43semidirect
1054. C4×SD16C2×D43semidirect
1061. C4×D8C2×D43semidirect
1072. #428C2×D43semidirect
1076. #418C2×D43semidirect
1077. #417C2×D43semidirect
1082. C4×M16C2×D43semidirect
1083. C43#61505semidirect
1458. D8#10621898semidirect

Maximal subgroups

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

subgroupindex
#191485562
#191485352
#191476842
#191474952
#191473882
#191473492
#191471862
#191471452
#191471112
#191468332
#191468122
#191467522
#191467412
#191466362
#191465572
#191462002
#191460772
#191460692
#191452742
#191452082
#191451902
#191448682
#191448352
#191447852
#191447752
#191447042
#191446862
#191435802
#191434422
#191434202
C4×AGL(1,ℤ/8)×C432
#6150543