Finite Group Databasebeta

← #25979862

Subgroups — #25979862

Order 11008.

1832 conjugacy classes of subgroups.

The subgroup lattice has 1712 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19148573C211yesmaximal, characteristic, complemented
2#19148535C211yesmaximal, characteristic, complemented
3#19147649C211yesmaximal, characteristic, complemented
4#19147554C211yesmaximal, characteristic, complemented
5#19147377C211yesmaximal, characteristic, complemented
6#19147353C211yesmaximal, characteristic, complemented
7#19147166C211yesmaximal, characteristic, complemented
8#19147085C211yesmaximal, characteristic, complemented
9#19147036C211yesmaximal, characteristic, complemented
10#19146896C211yesmaximal, characteristic, complemented
11#19146807C211yesmaximal, characteristic, complemented
12#19146692C211yesmaximal, characteristic, complemented
13#19146681C211yesmaximal, characteristic, complemented
14#19146617C211yesmaximal, characteristic, complemented
15#19146576C211yesmaximal, characteristic, complemented
16#19146189C211yesmaximal, characteristic, complemented
17#19146122C211yesmaximal, characteristic, complemented
18#19146114C211yesmaximal, characteristic, complemented
19#19145259C211yesmaximal, characteristic, complemented
20#19145219C211yesmaximal, characteristic, complemented
21#19145201C211yesmaximal, characteristic, complemented
22#19144853C211yesmaximal, characteristic, complemented
23#19144844C211yesmaximal, characteristic, complemented
24#19144805C211yesmaximal, characteristic, complemented
25#19144790C211yesmaximal, characteristic, complemented
26#19144704C211yesmaximal, characteristic, complemented
27#19144694C211yesmaximal, characteristic, complemented
28#19143580C211yesmaximal, characteristic, complemented
29#19143465C211yesmaximal, characteristic, complemented
30#19143420C211yesmaximal, characteristic, complemented
31C4×AGL(1,ℤ/8)×C43C211yesmaximal, characteristic, complemented
32C2×#13063349C2211yescharacteristic
33C2×#13063344C2211yescharacteristic
34#14583632C2211yescharacteristic
35#14583627C2211yescharacteristic, complemented
36#14583609C2211yescharacteristic, complemented
37#14583608C2211yescharacteristic
38#14583606C2211yescharacteristic, complemented
39#14583599C2211yescharacteristic
40#14583598—21no—
41#14583595—21no—
42#14583589—21no—
43#14583588C2211yescharacteristic
44#14583588C2211yescharacteristic, complemented
45#14583584C2211yescharacteristic
46#14583582—21no—
47#14583582—21no—
48#14583578—21no—
49#14583575—21no—
50#14583553C2211yescharacteristic, complemented
51#14583550C2211yescharacteristic
52#14583548C2211yescharacteristic
53#14583548C2211yescharacteristic, complemented
54#14583544C2211yescharacteristic
55#14583543C2211yescharacteristic
56#14583539—21no—
57D4×C22⋊D43C2211yescharacteristic
58#14583514C2211yescharacteristic
59#14583507C2211yescharacteristic, complemented
60#14583507C2211yescharacteristic, complemented
61#14583500C2211yescharacteristic
62#14583491—21no—
63#14583491—21no—
64#14583491—21no—
65#14583482—21no—
66#14583456C2211yescharacteristic, complemented
67#14583433—21no—
68#14583433C2211yescharacteristic
69#14583433C2211yescharacteristic
70C2×#13063317—21no—
71#14583410—21no—
72C2×#13063308—21no—
73#14583378C2211yescharacteristic
74#14583378C2211yescharacteristic, complemented
75#14583378C2211yescharacteristic, complemented
76#14583371C2211yescharacteristic
77#14583308C2211yescharacteristic, complemented
78#14583306C2211yescharacteristic, complemented
79#14583299C2211yescharacteristic, complemented
80#14583293C2211yescharacteristic, complemented
81#14583290C2211yescharacteristic, complemented
82#14583270C2211yescharacteristic
83#14583268C2211yescharacteristic, complemented
84#14583266C2211yescharacteristic, complemented
85#14583262C2211yescharacteristic
86#14583259C2211yescharacteristic, complemented
87#14583252C2211yescharacteristic, complemented
88#14583248C2211yescharacteristic, complemented
89#14583243C2211yescharacteristic, complemented
90#14583240C2211yescharacteristic, complemented
91#14583238C2211yescharacteristic, complemented
92#14583236C2211yescharacteristic, complemented
93#14583234C2211yescharacteristic, complemented
94#14583234C2211yescharacteristic, complemented
95#14583233C2211yescharacteristic, complemented
96#14583231C2211yescharacteristic, complemented
97#14583223C2211yescharacteristic
98#14583216C2211yescharacteristic, complemented
99#14583214C2211yescharacteristic, complemented
100#14583211C2211yescharacteristic
101#14583209C2211yescharacteristic, complemented
102#14583206C2211yescharacteristic, complemented
103#14583205C2211yescharacteristic, complemented
104#14583201C2211yescharacteristic
105#14583201C2211yescharacteristic, complemented
106#14583199C2211yescharacteristic, complemented
107#14583198C2211yescharacteristic, complemented
108#14583197C2211yescharacteristic
109#14583193C2211yescharacteristic, complemented
110#14583179C2211yescharacteristic
111#14583179C2211yescharacteristic, complemented
112#14583177C2211yescharacteristic, complemented
113#14583158C2211yescharacteristic, complemented
114#14583157C2211yescharacteristic, complemented
115#14583157C2211yescharacteristic, complemented
116#14583148C2211yescharacteristic, complemented
117#14583145C2211yescharacteristic
118#14583145C2211yescharacteristic
119#14583144C2211yescharacteristic, complemented
120#14583142C2211yescharacteristic
121#14583139C2211yescharacteristic, complemented
122#14583129C2211yescharacteristic, complemented
123#14583127C2211yescharacteristic
124#14583125C2211yescharacteristic, complemented
125#14583121C2211yescharacteristic, complemented
126#14583120C2211yescharacteristic, complemented
127#14583114C2211yescharacteristic, complemented
128#14583112C2211yescharacteristic, complemented
129#14583108C2211yescharacteristic, complemented
130#14583104C2211yescharacteristic
131#14583104C2211yescharacteristic, complemented
132#14583103C2211yescharacteristic, complemented
133#14583102C2211yescharacteristic
134#14583102C2211yescharacteristic
135#14583098C2211yescharacteristic
136#14583092C2211yescharacteristic
137#14583062C2211yescharacteristic
138#14583062C2211yescharacteristic, complemented
139#14583061C2211yescharacteristic, complemented
140#14583058C2211yescharacteristic
141#14583051C2211yescharacteristic
142#14583050C2211yescharacteristic
143#14583050C2211yescharacteristic
144#14583048C2211yescharacteristic
145#14583045C2211yescharacteristic, complemented
146#14583044C2211yescharacteristic
147#14583041C2211yescharacteristic
148#14583041C2211yescharacteristic, complemented
149#14583027C2211yescharacteristic, complemented
150#14583027C2211yescharacteristic, complemented
151#14583011C2211yescharacteristic
152#14583009C2211yescharacteristic, complemented
153#14583004C2211yescharacteristic, complemented
154#14582999C2211yescharacteristic
155#14582999C2211yescharacteristic
156#14582999C2211yescharacteristic, complemented
157#14582999C2211yescharacteristic, complemented
158#14582999C2211yescharacteristic, complemented
159#14582998C2211yescharacteristic, complemented
160#14582997C2211yescharacteristic, complemented
161#14582996C2211yescharacteristic
162#14582996C2211yescharacteristic, complemented
163C4×Dic172C2211yescharacteristic, complemented
164C4×Dic172C2211yescharacteristic, complemented
165#14582993C2211yescharacteristic, complemented
166#14582990C2211yescharacteristic
167C4×#10621873C2211yescharacteristic, complemented
168C4×#10621873C2211yescharacteristic, complemented
169D8×Dic43C2211yescharacteristic
170#14582979C2211yescharacteristic, complemented
171#14582975C2211yescharacteristic
172#14582975C2211yescharacteristic, complemented
173#14582972C2211yescharacteristic, complemented
174#14582972C2211yescharacteristic, complemented
175#14582968C2211yescharacteristic
176#14582968C2211yescharacteristic, complemented
177#14582958C2211yescharacteristic, complemented
178#14582958C2211yescharacteristic, complemented
179#14582956C2211yescharacteristic, complemented
180#14582940C2211yescharacteristic, complemented
181#107×D43C2211yescharacteristic, complemented
182#14582897C2211yescharacteristic
183#14582897C2211yescharacteristic, complemented
184#14582892C2211yescharacteristic, complemented
185#102×D43C2211yescharacteristic
186#14582853C2211yescharacteristic, complemented
187#14582853C2211yescharacteristic, complemented
188C2×AGL(1,ℤ/8)×C43C2211yescharacteristic
189C4×#41×C43C2211yescharacteristic, complemented
190C2×C4×D4×C43C2211yescharacteristic
191C43×#442C2211yescharacteristic
192C43×#442C2211yescharacteristic, complemented
193C43×#440C2211yescharacteristic
194C43×#440C2211yescharacteristic, complemented
195C4×SD16×C43C2211yescharacteristic
196C4×SD16×C43C2211yescharacteristic, complemented
197C4×D8×C43C2211yescharacteristic
198C4×D8×C43C2211yescharacteristic, complemented
199C43×#428C2211yescharacteristic, complemented
200C43×#418C2211yescharacteristic
201C43×#417C2211yescharacteristic, complemented
202C4×M16×C43C2211yescharacteristic, complemented
203C2×#10621898—21no—
204C2×#10621900C2311yescharacteristic
205C2×#10621900C2311yescharacteristic
206C2×#10621900C2311yescharacteristic
207C22×C22⋊D43—21no—
208C2×D4×D43C2311yescharacteristic
209#13063349—24no—
210#13063344—24no—
211C2×Dic172C2311yescharacteristic
212C2×Dic172C2311yescharacteristic
213C2×#10621885C2311yescharacteristic
214C2×#10621873C2311yescharacteristic
215C2×#10621873C2311yescharacteristic
216C2×#10621883C2311yescharacteristic
217C2×#10621883C2311yescharacteristic
218C2×#10621883C2311yescharacteristic
219C2×#10621883C2311yescharacteristic
220C2×#10621883C2311yescharacteristic
221C2×#10621884C2311yescharacteristic
222C2×#10621882C2311yescharacteristic
223C2×#10621872C2311yescharacteristic
224C2×#10621872C2311yescharacteristic
225C2×C8×D43C2311yescharacteristic
226C2×C8×D43C2311yescharacteristic
227#13063325C2311yescharacteristic
228#13063325C2311yescharacteristic
229#13063324C2311yescharacteristic
230#13063323C2311yescharacteristic
231#13063323C2311yescharacteristic
232#13063321C2311yescharacteristic
233#13063320—21no—
234#13063320—21no—
235#13063320—21no—
236#13063319—21no—
237#13063319—21no—
238#13063319—21no—
239#13063319D411yescharacteristic
240#13063319D411yescharacteristic
241#13063318—21no—
242#13063318—21no—
243#13063318—21no—
244#13063318—21no—
245#13063317—21no—
246#13063317—21no—
247#13063317—21no—
248#13063317—21no—
249#13063317—21no—
250#13063317—21no—
251#13063317—21no—
252#13063317D411yescharacteristic
253#13063317C2311yescharacteristic
254#13063316C2311yescharacteristic
255#13063316C2311yescharacteristic
256#13063316C2311yescharacteristic
257#13063315—21no—
258#13063315—21no—
259#13063315—21no—
260#13063315—21no—
261#13063315—21no—
262#13063313D411yescharacteristic
263#13063313C2311yescharacteristic
264#13063312C2311yescharacteristic
265#13063311—21no—
266#13063311—21no—
267#13063310—21no—
268#13063309—21no—
269#13063309—21no—
270#13063309—21no—
271#13063308—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#13063308D411yescharacteristic
281#13063308D411yescharacteristic
282#13063307—21no—
283#13063307—21no—
284#13063307—21no—
285#13063307—21no—
286#13063306—21no—
287#13063306—21no—
288#13063306—21no—
289#13063305C2311yescharacteristic
290#13063305C2311yescharacteristic
291#13063305C2311yescharacteristic
292#13063304—21no—
293#13063304—21no—
294#13063304—21no—
295#13063304—21no—
296#13063304D411yescharacteristic
297#13063304C2311yescharacteristic
298#13063304C2311yescharacteristic
299#13063304C2311yescharacteristic
300#13063303—21no—
301#13063303—21no—
302#13063303—21no—
303#13063302—21no—
304#13063302—21no—
305#13063302—21no—
306#13063302—21no—
307#13063301C2311yescharacteristic
308#13063301C2311yescharacteristic
309#13063300C2311yescharacteristic
310#13063299—21no—
311#13063299—21no—
312#13063299—21no—
313#13063299D411yescharacteristic
314#13063299C2311yescharacteristic
315#13063298—21no—
316#13063298—21no—
317#13063297—21no—
318#13063297—21no—
319#13063297—21no—
320#13063297—21no—
321#13063296C2311yescharacteristic
322#13063296C2311yescharacteristic
323#13063295—21no—
324#13063294—21no—
325#13063294—21no—
326#13063293—21no—
327C4×Dic86—21no—
328C4×Dic86—21no—
329C4×Dic86C2311yescharacteristic
330C4×Dic86C2311yescharacteristic
331C4×Dic86C2311yescharacteristic
332C4×Dic86C2311yescharacteristic
333#13063290C2311yescharacteristic
334#13063290C2311yescharacteristic
335#13063290C2311yescharacteristic
336C4×D172—21no—
337C4×D172C2311yescharacteristic
338C4×D172C2311yescharacteristic
339D4×Dic43C2311yescharacteristic
340D4×Dic43C2311yescharacteristic
341D4×Dic43C2311yescharacteristic
342D4×Dic43C2311yescharacteristic
343#13063287C2311yescharacteristic
344C4×C22⋊D43—21no—
345C4×C22⋊D43—21no—
346C4×C22⋊D43—21no—
347C4×C22⋊D43—21no—
348C4×C22⋊D43—21no—
349C4×C22⋊D43—21no—
350C4×C22⋊D43—21no—
351C4×C22⋊D43C2311yescharacteristic
352C4×C22⋊D43C2311yescharacteristic
353(C22⋊D43)⋊C4—21no—
354(C22⋊D43)⋊C4—21no—
355(C22⋊D43)⋊C4—21no—
356(C22⋊D43)⋊C4—21no—
357#13063284—21no—
358#13063284—21no—
359#13063283C2311yescharacteristic
360#13063282—21no—
361#13063282—21no—
362#13063282—21no—
363#13063282C2311yescharacteristic
364#13063282C2311yescharacteristic
365#13063281—21no—
366#13063281—21no—
367#13063281—21no—
368C2×C4⋊Dic43—21no—
369C2×C4⋊Dic43—21no—
370C2×Dic43⋊C4—21no—
371C2×Dic43⋊C4—21no—
372C2×Dic43⋊C4—21no—
373C2×Dic43⋊C4—21no—
374C2×Dic43⋊C4—21no—
375C2×Dic43⋊C4—21no—
376C4⋊C4×D43C2311yescharacteristic
377C4⋊C4×D43C2311yescharacteristic
378C4⋊C4×D43C2311yescharacteristic
379C2×C22⋊Dic43—21no—
380C2×(C2×D43)⋊C4—21no—
381C2×(C2×D43)⋊C4—21no—
382C22⋊C4×D43—21no—
383#13063259C2311yescharacteristic
384#13063259C2311yescharacteristic
385#13063258C2311yescharacteristic
386#13063258C2311yescharacteristic
387#13063258C2311yescharacteristic
388#13063258C2311yescharacteristic
389#13063258C2311yescharacteristic
390#13063258C2311yescharacteristic
391#13063257C2311yescharacteristic
392#13063257C2311yescharacteristic
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#13063250C2311yescharacteristic
404#13063250C2311yescharacteristic
405#13063250C2311yescharacteristic
406#13063250C2311yescharacteristic
407#13063249C2311yescharacteristic
408#13063249C2311yescharacteristic
409#13063248C2311yescharacteristic
410#13063248C2311yescharacteristic
411#13063248C2311yescharacteristic
412#13063248C2311yescharacteristic
413#13063248C2311yescharacteristic
414#13063248C2311yescharacteristic
415#13063247C2311yescharacteristic
416#13063247C2311yescharacteristic
417#13063246C2311yescharacteristic
418#13063246C2311yescharacteristic
419#13063246C2311yescharacteristic
420#13063246C2311yescharacteristic
421#13063246C2311yescharacteristic
422#13063246C2311yescharacteristic
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—
483#41×C43—22no—
484#41×C43—41no—
485C2×Q8×C43C2411yescharacteristic
486C2×D4×C43—21no—
487C2×D4×C43—21no—
488C2×D4×C43—22no—
489C2×D4×C43—41no—
490C2×D4×C43C2411yescharacteristic
491C2×D4×C43C2411yescharacteristic
492C2×D4×C43C2411yescharacteristic
493C22×C4×C43—21no—
494C22×C4×C43—21no—
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—82no—
502C22×C4×C43C2×D411yescharacteristic
503C22×C4×C43C2×D411yescharacteristic
504C22×C4×C43C2411yescharacteristic
505C2×C22⋊D43—21no—
506C2×C22⋊D43—21no—
507C2×C22⋊D43—21no—
508C2×C22⋊D43—21no—
509C2×C22⋊D43—21no—
510C2×C22⋊D43—21no—
511C2×C22⋊D43—21no—
512C2×C22⋊D43—21no—
513C2×C22⋊D43—21no—
514C2×C22⋊D43—82no—
515C2×C22⋊D43C2×D411yescharacteristic
516C2×C22⋊D43C2×D411yescharacteristic
517C22×Dic43—21no—
518C22×Dic43—21no—
519C22×Dic43—21no—
520C22×Dic43—21no—
521C22×Dic43—21no—
522C22×Dic43—21no—
523C22×Dic43—21no—
524#10621900—22no—
525#10621900—22no—
526#10621900—22no—
527#10621900—41no—
528#10621900—41no—
529#10621900—41no—
530D4×D43—22no—
531D4×D43—41no—
532#10621898—82no—
533C2×D172—21no—
534C2×D172C2×D411yescharacteristic
535C2×D172C2411yescharacteristic
536C2×C4×D43—21no—
537C2×C4×D43—21no—
538C2×C4×D43—21no—
539C2×C4×D43—21no—
540C2×C4×D43—21no—
541C2×C4×D43C2411yescharacteristic
542C2×C4×D43C2411yescharacteristic
543C2×Dic86—21no—
544C2×Dic86—21no—
545C2×Dic86C2×D411yescharacteristic
546C2×Dic86C2411yescharacteristic
547C2×Dic86C2411yescharacteristic
548C2×Dic86C2411yescharacteristic
549SD16×C43—22no—
550SD16×C43—22no—
551D8×C43—22no—
552D8×C43#4114yescomplemented
553M16×C43—22no—
554M16×C43—41no—
555C2×C8×C43C2411yescharacteristic
556C2×C8×C43C2411yescharacteristic
557C2×C8×C43C2411yescharacteristic
558C2×C8×C43C2411yescharacteristic
559C4⋊C4×C43—21no—
560C4⋊C4×C43—21no—
561C4⋊C4×C43—21no—
562C4⋊C4×C43C2411yescharacteristic
563C4⋊C4×C43C2411yescharacteristic
564C4⋊C4×C43C2411yescharacteristic
565C4⋊C4×C43C2411yescharacteristic
566C22⋊C4×C43—21no—
567C22⋊C4×C43—21no—
568C22⋊C4×C43—21no—
569C22⋊C4×C43—21no—
570C22⋊C4×C43—21no—
571C22⋊C4×C43—21no—
572C22⋊C4×C43—21no—
573C42×C43—21no—
574C42×C43—21no—
575C42×C43—21no—
576C42×C43C2×D411yescharacteristic
577C42×C43C2×D411yescharacteristic
578C42×C43C2411yescharacteristic
579C42×C43C2411yescharacteristic
580C22⋊Dic43—21no—
581C22⋊Dic43—21no—
582C22⋊Dic43—21no—
583C22⋊Dic43—21no—
584C22⋊Dic43—21no—
585C22⋊Dic43—21no—
586C22⋊Dic43—21no—
587C22⋊Dic43—21no—
588C22⋊Dic43—21no—
589C22⋊Dic43—21no—
590C22⋊Dic43—21no—
591C22⋊Dic43C2×D411yescharacteristic
592C22⋊Dic43C2×D411yescharacteristic
593#10621885—41no—
594#10621884—41no—
595#10621883—22no—
596#10621883—22no—
597#10621883—22no—
598#10621883—41no—
599#10621883—41no—
600#10621882—22no—
601(C2×D43)⋊C4—21no—
602(C2×D43)⋊C4—21no—
603(C2×D43)⋊C4—21no—
604(C2×D43)⋊C4—21no—
605(C2×D43)⋊C4—21no—
606(C2×D43)⋊C4—21no—
607(C2×D43)⋊C4—21no—
608(C2×D43)⋊C4—21no—
609(C2×D43)⋊C4—21no—
610(C2×D43)⋊C4—21no—
611(C2×D43)⋊C4—21no—
612(C2×D43)⋊C4—21no—
613(C2×D43)⋊C4C2×D411yescharacteristic
614(C2×D43)⋊C4C2×D411yescharacteristic
615(C2×D43)⋊C4C2×D411yescharacteristic
616(C2×D43)⋊C4C2×D411yescharacteristic
617(C2×D43)⋊C4C2×D411yescharacteristic
618(C2×D43)⋊C4C2×D411yescharacteristic
619(C2×D43)⋊C4C2×D411yescharacteristic
620(C2×D43)⋊C4C2×D411yescharacteristic
621C4⋊Dic43—21no—
622C4⋊Dic43—21no—
623C4⋊Dic43—21no—
624C4⋊Dic43—21no—
625C4⋊Dic43—21no—
626C4⋊Dic43—21no—
627C4⋊Dic43—21no—
628C4⋊Dic43—21no—
629C4⋊Dic43—21no—
630C4⋊Dic43C2×D411yescharacteristic
631C4⋊Dic43C2×D411yescharacteristic
632C4⋊Dic43C2411yescharacteristic
633C4⋊Dic43C2411yescharacteristic
634C4⋊Dic43C2411yescharacteristic
635C4⋊Dic43C2411yescharacteristic
636Dic43⋊C4—21no—
637Dic43⋊C4—21no—
638Dic43⋊C4—21no—
639Dic43⋊C4—21no—
640Dic43⋊C4—21no—
641Dic43⋊C4—21no—
642Dic43⋊C4—21no—
643Dic43⋊C4—21no—
644Dic43⋊C4—21no—
645Dic43⋊C4—21no—
646Dic43⋊C4—21no—
647Dic43⋊C4—21no—
648Dic43⋊C4—21no—
649Dic43⋊C4—21no—
650Dic43⋊C4—21no—
651Dic43⋊C4—21no—
652Dic43⋊C4—21no—
653Dic43⋊C4—21no—
654Dic43⋊C4—21no—
655Dic43⋊C4—21no—
656Dic43⋊C4—21no—
657Dic43⋊C4—21no—
658Dic43⋊C4—21no—
659Dic43⋊C4—21no—
660Dic43⋊C4C2×D411yescharacteristic
661Dic43⋊C4C2×D411yescharacteristic
662Dic43⋊C4C2×D411yescharacteristic
663Dic43⋊C4C2×D411yescharacteristic
664Dic43⋊C4C2×D411yescharacteristic
665Dic43⋊C4C2×D411yescharacteristic
666Dic43⋊C4C2×D411yescharacteristic
667Dic43⋊C4C2×D411yescharacteristic
668C4×Dic43—21no—
669C4×Dic43—21no—
670C4×Dic43—21no—
671C4×Dic43—21no—
672C4×Dic43—21no—
673C4×Dic43—21no—
674C4×Dic43—21no—
675C4×Dic43C2411yescharacteristic
676C4×Dic43C2411yescharacteristic
677C2×C43⋊C8C2411yescharacteristic
678C2×C43⋊C8C2411yescharacteristic
679C2×C43⋊C8C2411yescharacteristic
680C2×C43⋊C8C2411yescharacteristic
681Dic172—22no—
682Dic172—41no—
683#10621873—22no—
684#10621873—41no—
685#10621872—22no—
686#10621872—41no—
687C8×D43—22no—
688C8×D43—41no—
689C23×C43—21no—
690C23×C43—21no—
691C23×C43—21no—
692C23×C43—42no—
693C23×C43—42no—
694C23×C43—81no—
695C23×C43C22×D411yescharacteristic
696C22×D43—21no—
697C22×D43—42no—
698C22×D43—81no—
699C22×D43—81no—
700C22×D43C22×D411yescharacteristic
701C22×D43C22×D411yescharacteristic
702Q8×C43—21no—
703Q8×C43—21no—
704D4×C43—21no—
705D4×C43—21no—
706D4×C43—21no—
707D4×C43—21no—
708D4×C43—42no—
709D4×C43—42no—
710D4×C43C2×#4112yes—
711D4×C43C2×#4112yes—
712C2×C4×C43—21no—
713C2×C4×C43—21no—
714C2×C4×C43—21no—
715C2×C4×C43—21no—
716C2×C4×C43—21no—
717C2×C4×C43—21no—
718C2×C4×C43—21no—
719C2×C4×C43—41no—
720C2×C4×C43—41no—
721C2×C4×C43—42no—
722C2×C4×C43—42no—
723C2×C4×C43—42no—
724C2×C4×C43—81no—
725C2×C4×C43—81no—
726C2×C4×C43—81no—
727C2×C4×C43—81no—
728C2×C4×C43—81no—
729C2×C4×C43C22×D411yescharacteristic
730C2×C4×C43C22×D411yescharacteristic
731C2×C4×C43C22×D411yescharacteristic
732C2×C4×C43C22×D411yescharacteristic
733C2×C4×C43C22×D411yescharacteristic
734C2×C4×C43C2511yescharacteristic
735C22⋊D43—41no—
736C22⋊D43—41no—
737C22⋊D43—42no—
738C22⋊D43—42no—
739C22⋊D43—42no—
740C22⋊D43—42no—
741C22⋊D43—42no—
742C22⋊D43—81no—
743C22⋊D43—81no—
744C22⋊D43—81no—
745C22⋊D43—81no—
746C2×Dic43—21no—
747C2×Dic43—21no—
748C2×Dic43—21no—
749C2×Dic43—21no—
750C2×Dic43—21no—
751C2×Dic43—21no—
752C2×Dic43—21no—
753C2×Dic43—42no—
754C2×Dic43—42no—
755C2×Dic43—42no—
756C2×Dic43—81no—
757C2×Dic43—81no—
758C2×Dic43—81no—
759C2×Dic43—81no—
760C2×Dic43C22×D411yescharacteristic
761C2×Dic43C22×D411yescharacteristic
762C2×Dic43C22×D411yescharacteristic
763C2×Dic43C22×D411yescharacteristic
764C2×Dic43C22×D411yescharacteristic
765C2×Dic43C22×D411yescharacteristic
766D172—21no—
767D172—21no—
768D172—41no—
769D172—81no—
770C4×D43—21no—
771C4×D43—21no—
772C4×D43—21no—
773C4×D43—21no—
774C4×D43—81no—
775C4×D43—81no—
776C4×D43—81no—
777C4×D43—81no—
778C4×D43—81no—
779Dic86—21no—
780Dic86—21no—
781Dic86—21no—
782Dic86—21no—
783Dic86—21no—
784Dic86—21no—
785Dic86—41no—
786Dic86—81no—
787Dic86—81no—
788C8×C43—21no—
789C8×C43—21no—
790C8×C43—21no—
791C8×C43C2×#4112yes—
792C43⋊C8—21no—
793C43⋊C8—21no—
794C43⋊C8—21no—
795C43⋊C8—21no—
796#61509—431nomaximal, Sylow
797C22×C43—21no—
798C22×C43—21no—
799C22×C43—22no—
800C22×C43—22no—
801C22×C43—21no—
802C22×C43—41no—
803C22×C43—41no—
804C22×C43—41no—
805C22×C43—41no—
806C22×C43—41no—
807C22×C43—41no—
808C22×C43—41no—
809C22×C43—84no—
810C22×C43C23×D411yescharacteristic
811C2×D43—21no—
812C2×D43—21no—
813C2×D43—21no—
814C2×D43—21no—
815C2×D43—21no—
816C2×D43—21no—
817C2×D43—41no—
818C2×D43—41no—
819C2×D43—41no—
820C2×D43—162no—
821C4×C43—21no—
822C4×C43—21no—
823C4×C43—21no—
824C4×C43—21no—
825C4×C43—21no—
826C4×C43—41no—
827C4×C43—41no—
828C4×C43—41no—
829C4×C43—41no—
830C4×C43—41no—
831C4×C43C22×#4111yescharacteristic
832C4×C43#58511yescharacteristic
833Dic43—21no—
834Dic43—21no—
835Dic43—21no—
836Dic43—21no—
837Dic43—21no—
838Dic43—21no—
839Dic43—41no—
840Dic43—41no—
841Dic43—41no—
842Dic43—41no—
843Dic43—41no—
844Dic43—41no—
845Dic43—41no—
846#3515—431no—
847#3513—431no—
848#3400—431no—
849#3389—431no—
850#3372—431no—
851#3370—431no—
852#3352—431no—
853#3346—431no—
854#3343—431no—
855#3330—431no—
856#3323—431no—
857#3315—431no—
858#3314—431no—
859#3310—431no—
860#3307—431no—
861#3272—431no—
862#3267—431no—
863#3267—431no—
864#3178—431no—
865#3174—431no—
866#3172—431no—
867#3124—431no—
868#3123—431no—
869#3120—431no—
870#3119—431no—
871#3111—431no—
872#3110—431no—
873#2967—431no—
874#2951—431no—
875#2946—431no—
876C4×AGL(1,ℤ/8)D4311yescharacteristic, complemented
877C2×C43—42no—
878C2×C43—41no—
879C2×C43—42no—
880C2×C43—81no—
881C2×C43D4×#4111yescharacteristic
882C2×C43#358511yescharacteristic
883C2×C43#358611yescharacteristic
884D43—41no—
885D43—41no—
886D43—81no—
887C2×AGL(1,ℤ/8)—431no—
888C2×AGL(1,ℤ/8)C2×D4311yescharacteristic
889C2×#135—431no—
890#559—431no—
891#557—431no—
892#554—431no—
893#554—431no—
894#554—431no—
895#553—431no—
896#553—861no—
897#553—861no—
898#552—431no—
899#552—431no—
900#552—431no—
901#552—861no—
902#552—861no—
903#552—861no—
904#551—861no—
905#551—861no—
906#547—431no—
907#547—431no—
908#547—431no—
909#547—431no—
910#546—431no—
911#546—431no—
912#546—861no—
913D42—431no—
914#542—431no—
915#541—431no—
916#541—431no—
917#540—431no—
918#539—861no—
919#539—861no—
920#539—861no—
921#538—861no—
922#533—431no—
923#529—431no—
924#529—431no—
925#529—861no—
926C2×#125—861no—
927#525—861no—
928C2×#123—861no—
929#520—431no—
930#520—431no—
931#520—431no—
932#518—431no—
933C4×#41C2×D4311yescharacteristic, complemented
934C2×C4×D4C2×D4311yescharacteristic
935#501—431no—
936#501—431no—
937#499—431no—
938#497—431no—
939#497—431no—
940#492—431no—
941#491—431no—
942#491—431no—
943#490—431no—
944#489—431no—
945#488—431no—
946#487—431no—
947#485—431no—
948#485—431no—
949#485—431no—
950#484—431no—
951#484—431no—
952#484—431no—
953#484—431no—
954#483—431no—
955#482—431no—
956#481—431no—
957#480—431no—
958#480—431no—
959#479—431no—
960#479—431no—
961#479—431no—
962#478—431no—
963#478—431no—
964#478—431no—
965#478—431no—
966#478—431no—
967#477—431no—
968#474—431no—
969#474—431no—
970#474—431no—
971#470—431no—
972#470—431no—
973#470—431no—
974#468—431no—
975#468—431no—
976#468—431no—
977#468—431no—
978#468—431no—
979#467—431no—
980#465—431no—
981#465—431no—
982#465—431no—
983#464—431no—
984#464—431no—
985#463—431no—
986#463—431no—
987#462—431no—
988#461—431no—
989#461—431no—
990#461—431no—
991#461—431no—
992#461—431no—
993#460—431no—
994#459—431no—
995#452—431no—
996#452—431no—
997#452—431no—
998#452—431no—
999#450—431no—
1000#450—431no—
1001#450—431no—
1002#450—431no—
1003#449—431no—
1004#449—431no—
1005#449—431no—
1006#449—431no—
1007#446—431no—
1008#446—431no—
1009#442—431no—
1010#442—431no—
1011#442C2×D4311yescharacteristic
1012#442C2×D4311yescharacteristic, complemented
1013#441—431no—
1014#440—431no—
1015#440—431no—
1016#440—431no—
1017#440—431no—
1018#440—431no—
1019#440—431no—
1020#440—431no—
1021#440—431no—
1022#440—431no—
1023#440C2×D4311yescharacteristic
1024#440C2×D4311yescharacteristic, complemented
1025C4×Q16—431no—
1026C4×Q16—431no—
1027C4×Q16—431no—
1028C4×SD16—431no—
1029C4×SD16—431no—
1030C4×SD16—431no—
1031C4×SD16C2×D4311yescharacteristic
1032C4×SD16C2×D4311yescharacteristic, complemented
1033C4×D8—431no—
1034C4×D8—431no—
1035C4×D8C2×D4311yescharacteristic
1036C4×D8C2×D4311yescharacteristic, complemented
1037#436—431no—
1038#436—431no—
1039#435—431no—
1040#435—431no—
1041#435—431no—
1042#435—431no—
1043#433—431no—
1044#433—431no—
1045#432—431no—
1046#428—431no—
1047#428C2×D4311yescharacteristic, complemented
1048C2×#107—431no—
1049#418C2×D4311yescharacteristic
1050#417—431no—
1051#417—431no—
1052#417C2×D4311yescharacteristic, complemented
1053#416—431no—
1054C2×#102—431no—
1055#405—431no—
1056#405—431no—
1057C4×M16C2×D4311yescharacteristic, complemented
1058C43#6150911yescharacteristic, complemented, Sylow
1059C2×#41—431no—
1060C2×#41—431no—
1061C2×#41—431no—
1062C2×#41—861no—
1063C2×#41C22×D4311yescharacteristic
1064C22×D4—431no—
1065C22×D4—861no—
1066C22×D4C22×D4311yescharacteristic
1067C23×C4—21no—
1068AGL(1,ℤ/8)—24no—
1069AGL(1,ℤ/8)—864no—
1070#135—864no—
1071C2×Q16—431no—
1072C2×Q16—431no—
1073C2×Q16—431no—
1074C2×SD16—431no—
1075C2×SD16—431no—
1076C2×SD16—431no—
1077C2×SD16—431no—
1078C2×SD16—431no—
1079C2×SD16—431no—
1080C2×SD16—431no—
1081C2×SD16—431no—
1082C2×SD16C22×D4311yescharacteristic
1083C2×SD16C22×D4311yescharacteristic
1084C2×D8—431no—
1085C2×D8C22×D4311yescharacteristic
1086C2×D8C22×D4311yescharacteristic
1087C2×M16—431no—
1088C2×M16—431no—
1089C2×M16C22×D4311yescharacteristic
1090C2×M16C22×D4311yescharacteristic
1091C22×C8—431no—
1092C22×C8—431no—
1093C4⋊Q8—431no—
1094C4⋊Q8—431no—
1095C4⋊Q8—431no—
1096C4⋊Q8—431no—
1097C4⋊Q8—431no—
1098#127—431no—
1099#126—431no—
1100#126—431no—
1101#126—861no—
1102#126—861no—
1103#126—861no—
1104#126—861no—
1105#126—861no—
1106#126—861no—
1107#126—861no—
1108#126—861no—
1109#126—861no—
1110#126—861no—
1111#125—431no—
1112#125—431no—
1113#125—431no—
1114#125—431no—
1115#125—431no—
1116#125—861no—
1117#125—861no—
1118#125—861no—
1119#125—861no—
1120#125—861no—
1121#125—861no—
1122#125—861no—
1123#125—861no—
1124#125—861no—
1125#125—861no—
1126#125—861no—
1127#125—861no—
1128#124—431no—
1129#124—431no—
1130#124—431no—
1131#124—861no—
1132#124—861no—
1133#123—431no—
1134#123—431no—
1135#123—861no—
1136#123—861no—
1137#123—861no—
1138#123—861no—
1139#123—861no—
1140#123—861no—
1141#123—861no—
1142#123—861no—
1143#123—861no—
1144#123—861no—
1145#123—861no—
1146#123—861no—
1147#123—861no—
1148#123—861no—
1149#123—861no—
1150#123—861no—
1151#123—861no—
1152#123—861no—
1153#123—861no—
1154#123—861no—
1155C22⋊Q8—431no—
1156C22⋊Q8—431no—
1157C22⋊Q8—431no—
1158C22⋊Q8—431no—
1159C22⋊Q8—431no—
1160C22⋊Q8—431no—
1161C22⋊Q8—431no—
1162C22⋊Q8—431no—
1163C22⋊Q8—431no—
1164C22⋊Q8—861no—
1165C22⋊Q8—861no—
1166C22⋊Q8—861no—
1167C22⋊Q8—861no—
1168C22⋊Q8—861no—
1169C22⋊Q8—861no—
1170C22⋊Q8—861no—
1171C22⋊Q8—861no—
1172C22⋊Q8—861no—
1173C22⋊Q8—861no—
1174C22⋊Q8—861no—
1175#121—431no—
1176#121—431no—
1177#121—431no—
1178#121—431no—
1179#121—431no—
1180#121—861no—
1181#121—861no—
1182#121—861no—
1183#121—861no—
1184#121—861no—
1185#121—861no—
1186#121—861no—
1187#121—861no—
1188#121—861no—
1189#120—861no—
1190#120—861no—
1191#120—861no—
1192#120—861no—
1193C4×Q8—431no—
1194C4×Q8—431no—
1195C4×Q8—431no—
1196C4×Q8—431no—
1197C4×Q8—431no—
1198C4×Q8—431no—
1199C4×Q8—431no—
1200C4×Q8—861no—
1201C4×Q8—861no—
1202C4×Q8C22×D4311yescharacteristic
1203C4×Q8C22×D4311yescharacteristic
1204C4×D4—21no—
1205C4×D4—21no—
1206C4×D4—21no—
1207C4×D4—21no—
1208C4×D4—431no—
1209C4×D4—431no—
1210C4×D4—431no—
1211C4×D4—431no—
1212C4×D4—431no—
1213C4×D4—431no—
1214C4×D4—431no—
1215C4×D4—431no—
1216C4×D4—431no—
1217C4×D4—861no—
1218C4×D4—861no—
1219C4×D4—861no—
1220C4×D4—861no—
1221C4×D4—861no—
1222C4×D4—861no—
1223C4×D4—861no—
1224C4×D4—861no—
1225C4×D4—861no—
1226C4×D4—861no—
1227C4×D4—861no—
1228C4×D4—861no—
1229C4×D4C22×D4311yescharacteristic
1230C4×D4C22×D4311yescharacteristic
1231C4×D4C22×D4311yescharacteristic
1232C4×D4C22×D4311yescharacteristic
1233C4×D4C22×D4311yescharacteristic
1234C4×D4C22×D4311yescharacteristic
1235#117—21no—
1236#117—431no—
1237#117—431no—
1238#117—431no—
1239#117—861no—
1240#117—861no—
1241#117—861no—
1242#117—861no—
1243#117—861no—
1244#117—861no—
1245#117—861no—
1246#117—861no—
1247#117C22×D4311yescharacteristic
1248C2×C4⋊C4—431no—
1249C2×C4⋊C4—431no—
1250C2×C4⋊C4—431no—
1251C2×C4⋊C4—861no—
1252C2×C4⋊C4—861no—
1253C2×C4⋊C4—861no—
1254C2×C4⋊C4—861no—
1255C2×C4⋊C4—861no—
1256C2×C4⋊C4—861no—
1257C2×C4⋊C4—861no—
1258C2×C4⋊C4—861no—
1259C2×C4⋊C4C22×D4311yescharacteristic
1260C2×C22⋊C4—21no—
1261C2×C22⋊C4—861no—
1262C2×C22⋊C4—861no—
1263C2×C22⋊C4—861no—
1264C2×C22⋊C4—861no—
1265C2×C42—21no—
1266C2×C42C22×D4311yescharacteristic
1267#107—431no—
1268#107—431no—
1269#107—431no—
1270#107—431no—
1271#107—431no—
1272#107—431no—
1273#107—431no—
1274#107—431no—
1275#107C22×D4311yescharacteristic
1276#107C22×D4311yescharacteristic
1277#106—431no—
1278#106—431no—
1279#106—431no—
1280#106—431no—
1281#106C22×D4311yescharacteristic
1282#106C22×D4311yescharacteristic
1283C4⋊C8—431no—
1284C4⋊C8—431no—
1285C4⋊C8—431no—
1286C4⋊C8—431no—
1287C4⋊C8—431no—
1288C4⋊C8—431no—
1289#103—431no—
1290#103—431no—
1291#103—431no—
1292#103—431no—
1293#103—431no—
1294#103—431no—
1295#103—431no—
1296#103—431no—
1297#103—431no—
1298#103—431no—
1299#103—431no—
1300#103—431no—
1301#103—431no—
1302#103—431no—
1303#103C22×D4311yescharacteristic
1304#103C22×D4311yescharacteristic
1305#102—431no—
1306#102—431no—
1307#102—431no—
1308#102—431no—
1309#102—431no—
1310#102—431no—
1311#102—431no—
1312#102—431no—
1313#102—431no—
1314#102—431no—
1315#102C22×D4311yescharacteristic
1316#102C22×D4311yescharacteristic
1317#102C22×D4311yescharacteristic
1318#102C22×D4311yescharacteristic
1319#102C22×D4311yescharacteristic
1320#102C22×D4311yescharacteristic
1321C22⋊C8—431no—
1322C22⋊C8—431no—
1323C22⋊C8—431no—
1324C22⋊C8—431no—
1325C22⋊C8—431no—
1326C22⋊C8—431no—
1327#97—431no—
1328#97—431no—
1329#97—431no—
1330#97—431no—
1331#97C22×D4311yescharacteristic
1332#97C22×D4311yescharacteristic
1333C4×C8—431no—
1334C4×C8—431no—
1335C4×C8C22×D4311yescharacteristic
1336C4×C8C22×D4311yescharacteristic
1337C24—21no—
1338C24—861no—
1339#41—22no—
1340#41—41no—
1341#41—862no—
1342#41—862no—
1343#41—862no—
1344#41—3442no—
1345#41—1721no—
1346#41—1721no—
1347#41—1721no—
1348C2×Q8—431no—
1349C2×Q8—431no—
1350C2×Q8—431no—
1351C2×Q8—431no—
1352C2×Q8—861no—
1353C2×Q8—861no—
1354C2×Q8C23×D4311yescharacteristic
1355C2×D4—22no—
1356C2×D4—21no—
1357C2×D4—21no—
1358C2×D4—41no—
1359C2×D4—431no—
1360C2×D4—431no—
1361C2×D4—431no—
1362C2×D4—431no—
1363C2×D4—861no—
1364C2×D4—861no—
1365C2×D4—861no—
1366C2×D4—861no—
1367C2×D4—862no—
1368C2×D4—861no—
1369C2×D4—861no—
1370C2×D4—861no—
1371C2×D4—861no—
1372C2×D4—861no—
1373C2×D4—861no—
1374C2×D4—3442no—
1375C2×D4—1721no—
1376C2×D4C23×D4311yescharacteristic
1377C2×D4C23×D4311yescharacteristic
1378C2×D4C23×D4311yescharacteristic
1379C22×C4—21no—
1380C22×C4—21no—
1381C22×C4—21no—
1382C22×C4—21no—
1383C22×C4—21no—
1384C22×C4—21no—
1385C22×C4—21no—
1386C22×C4—21no—
1387C22×C4—82no—
1388C22×C4—431no—
1389C22×C4—431no—
1390C22×C4—861no—
1391C22×C4—861no—
1392C22×C4—861no—
1393C22×C4—861no—
1394C22×C4—861no—
1395C22×C4—861no—
1396C22×C4—861no—
1397C22×C4—861no—
1398C22×C4—861no—
1399C22×C4—861no—
1400C22×C4—861no—
1401C22×C4—861no—
1402C22×C4D4×D4311yescharacteristic
1403C22×C4D4×D4311yescharacteristic
1404C22×C4C23×D4311yescharacteristic
1405Q16—862no—
1406Q16—1721no—
1407Q16—1721no—
1408SD16—22no—
1409SD16—22no—
1410SD16—862no—
1411SD16—862no—
1412SD16—862no—
1413SD16—862no—
1414SD16—1721no—
1415SD16—1721no—
1416SD16—1721no—
1417SD16—1721no—
1418D8—22no—
1419D8—862no—
1420D8#1062189814yescomplemented
1421M16—22no—
1422M16—41no—
1423M16—862no—
1424M16—1721no—
1425C2×C8—431no—
1426C2×C8—431no—
1427C2×C8—431no—
1428C2×C8—431no—
1429C2×C8—862no—
1430C2×C8—1721no—
1431C2×C8C23×D4311yescharacteristic
1432C2×C8C23×D4311yescharacteristic
1433C2×C8C23×D4311yescharacteristic
1434C2×C8C23×D4311yescharacteristic
1435C4⋊C4—21no—
1436C4⋊C4—21no—
1437C4⋊C4—21no—
1438C4⋊C4—431no—
1439C4⋊C4—431no—
1440C4⋊C4—431no—
1441C4⋊C4—431no—
1442C4⋊C4—431no—
1443C4⋊C4—431no—
1444C4⋊C4—431no—
1445C4⋊C4—431no—
1446C4⋊C4—431no—
1447C4⋊C4—431no—
1448C4⋊C4—431no—
1449C4⋊C4—431no—
1450C4⋊C4—431no—
1451C4⋊C4—431no—
1452C4⋊C4—861no—
1453C4⋊C4—861no—
1454C4⋊C4—861no—
1455C4⋊C4—861no—
1456C4⋊C4—861no—
1457C4⋊C4—861no—
1458C4⋊C4—861no—
1459C4⋊C4—861no—
1460C4⋊C4—861no—
1461C4⋊C4—861no—
1462C4⋊C4—861no—
1463C4⋊C4—861no—
1464C4⋊C4—861no—
1465C4⋊C4—861no—
1466C4⋊C4—861no—
1467C4⋊C4—861no—
1468C4⋊C4—861no—
1469C4⋊C4—861no—
1470C4⋊C4—861no—
1471C4⋊C4—861no—
1472C4⋊C4—861no—
1473C4⋊C4—861no—
1474C4⋊C4—861no—
1475C4⋊C4—861no—
1476C4⋊C4—861no—
1477C4⋊C4—861no—
1478C4⋊C4—861no—
1479C4⋊C4—861no—
1480C4⋊C4—861no—
1481C4⋊C4—861no—
1482C4⋊C4—861no—
1483C4⋊C4—861no—
1484C4⋊C4—861no—
1485C4⋊C4C23×D4311yescharacteristic
1486C4⋊C4C23×D4311yescharacteristic
1487C4⋊C4C23×D4311yescharacteristic
1488C4⋊C4C23×D4311yescharacteristic
1489C22⋊C4—21no—
1490C22⋊C4—21no—
1491C22⋊C4—21no—
1492C22⋊C4—21no—
1493C22⋊C4—21no—
1494C22⋊C4—21no—
1495C22⋊C4—21no—
1496C22⋊C4—431no—
1497C22⋊C4—431no—
1498C22⋊C4—431no—
1499C22⋊C4—431no—
1500C22⋊C4—431no—
1501C22⋊C4—431no—
1502C22⋊C4—431no—
1503C22⋊C4—431no—
1504C22⋊C4—431no—
1505C22⋊C4—431no—
1506C22⋊C4—861no—
1507C22⋊C4—861no—
1508C22⋊C4—861no—
1509C22⋊C4—861no—
1510C22⋊C4—861no—
1511C22⋊C4—861no—
1512C22⋊C4—861no—
1513C22⋊C4—861no—
1514C22⋊C4—861no—
1515C22⋊C4—861no—
1516C22⋊C4—861no—
1517C22⋊C4—861no—
1518C22⋊C4—861no—
1519C22⋊C4—861no—
1520C22⋊C4—861no—
1521C22⋊C4—861no—
1522C22⋊C4—861no—
1523C22⋊C4—861no—
1524C22⋊C4—861no—
1525C22⋊C4—861no—
1526C22⋊C4—861no—
1527C22⋊C4—861no—
1528C22⋊C4—861no—
1529C42—21no—
1530C42—21no—
1531C42—21no—
1532C42—431no—
1533C42—431no—
1534C42—861no—
1535C42—861no—
1536C42—861no—
1537C42—861no—
1538C42—861no—
1539C42—861no—
1540C42—861no—
1541C42D4×D4311yescharacteristic
1542C42D4×D4311yescharacteristic
1543C42C23×D4311yescharacteristic
1544C42C23×D4311yescharacteristic
1545C23—21no—
1546C23—21no—
1547C23—21no—
1548C23—42no—
1549C23—42no—
1550C23—81no—
1551C23—431no—
1552C23—431no—
1553C23—861no—
1554C23—3441no—
1555C23—3441no—
1556C23—1722no—
1557C23C2×D4×D4311yescharacteristic
1558Q8—21no—
1559Q8—21no—
1560Q8—861no—
1561Q8—861no—
1562Q8—861no—
1563Q8—861no—
1564Q8—861no—
1565Q8—861no—
1566Q8—3441no—
1567Q8—3441no—
1568Q8—1721no—
1569D4—21no—
1570D4—21no—
1571D4—21no—
1572D4—21no—
1573D4—42no—
1574D4—42no—
1575D4—861no—
1576D4—861no—
1577D4—3441no—
1578D4—3441no—
1579D4—3441no—
1580D4—3441no—
1581D4—3441no—
1582D4—1721no—
1583D4—1721no—
1584D4—1721no—
1585D4—1722no—
1586D4—1722no—
1587D4—1722no—
1588D4—1722no—
1589D4—1722no—
1590D4C2×#1062189812yes—
1591D4C2×#1062189812yes—
1592C2×C4—21no—
1593C2×C4—21no—
1594C2×C4—21no—
1595C2×C4—21no—
1596C2×C4—21no—
1597C2×C4—21no—
1598C2×C4—21no—
1599C2×C4—41no—
1600C2×C4—41no—
1601C2×C4—42no—
1602C2×C4—42no—
1603C2×C4—42no—
1604C2×C4—81no—
1605C2×C4—81no—
1606C2×C4—81no—
1607C2×C4—81no—
1608C2×C4—81no—
1609C2×C4—431no—
1610C2×C4—431no—
1611C2×C4—431no—
1612C2×C4—431no—
1613C2×C4—431no—
1614C2×C4—431no—
1615C2×C4—861no—
1616C2×C4—861no—
1617C2×C4—861no—
1618C2×C4—861no—
1619C2×C4—861no—
1620C2×C4—861no—
1621C2×C4—861no—
1622C2×C4—861no—
1623C2×C4—861no—
1624C2×C4—861no—
1625C2×C4—861no—
1626C2×C4—3441no—
1627C2×C4—3441no—
1628C2×C4—3441no—
1629C2×C4—3441no—
1630C2×C4—3441no—
1631C2×C4—3441no—
1632C2×C4—3441no—
1633C2×C4—3441no—
1634C2×C4—3441no—
1635C2×C4—1722no—
1636C2×C4—1722no—
1637C2×C4—1722no—
1638C2×C4C2×D4×D4311yescharacteristic
1639C2×C4C2×D4×D4311yescharacteristic
1640C2×C4C2×D4×D4311yescharacteristic
1641C2×C4C2×D4×D4311yescharacteristic
1642C2×C4C2×D4×D4311yescharacteristic
1643C2×C4C24×D4311yescharacteristic
1644C8—21no—
1645C8—21no—
1646C8—21no—
1647C8—861no—
1648C8—861no—
1649C8—861no—
1650C8—861no—
1651C8C2×#1062189812yes—
1652C22—21no—
1653C22—22no—
1654C22—22no—
1655C22—21no—
1656C22—21no—
1657C22—41no—
1658C22—41no—
1659C22—41no—
1660C22—41no—
1661C22—41no—
1662C22—41no—
1663C22—41no—
1664C22—84no—
1665C22—861no—
1666C22—861no—
1667C22—861no—
1668C22—861no—
1669C22—861no—
1670C22—861no—
1671C22—1721no—
1672C22—1721no—
1673C22—1721no—
1674C22—6882no—
1675C22C22×D4×D4311yescharacteristic
1676C4—21no—
1677C4—21no—
1678C4—21no—
1679C4—21no—
1680C4—21no—
1681C4—41no—
1682C4—41no—
1683C4—41no—
1684C4—41no—
1685C4—41no—
1686C4—861no—
1687C4—861no—
1688C4—861no—
1689C4—861no—
1690C4—861no—
1691C4—861no—
1692C4—1721no—
1693C4—1721no—
1694C4—1721no—
1695C4—1721no—
1696C4—1721no—
1697C4—1721no—
1698C4—1721no—
1699C4C22×#1062189811yescharacteristic
1700C4#1458373511yescharacteristic
1701C2—41no—
1702C2—42no—
1703C2—42no—
1704C2—81no—
1705C2—3441no—
1706C2—1721no—
1707C2—1721no—
1708C2D4×#1062189811yescharacteristic
1709C2#1914937111yescharacteristic
1710C2#1914937911yescharacteristic
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#61509
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. #19148573C2semidirect
2. #19148535C2semidirect
3. #19147649C2semidirect
4. #19147554C2semidirect
5. #19147377C2semidirect
6. #19147353C2semidirect
7. #19147166C2semidirect
8. #19147085C2semidirect
9. #19147036C2semidirect
10. #19146896C2semidirect
11. #19146807C2semidirect
12. #19146692C2semidirect
13. #19146681C2semidirect
14. #19146617C2semidirect
15. #19146576C2semidirect
16. #19146189C2semidirect
17. #19146122C2semidirect
18. #19146114C2semidirect
19. #19145259C2semidirect
20. #19145219C2semidirect
21. #19145201C2semidirect
22. #19144853C2semidirect
23. #19144844C2semidirect
24. #19144805C2semidirect
25. #19144790C2semidirect
26. #19144704C2semidirect
27. #19144694C2semidirect
28. #19143580C2semidirect
29. #19143465C2semidirect
30. #19143420C2semidirect
31. C4×AGL(1,ℤ/8)×C43C2semidirect
35. #14583627C22semidirect
36. #14583609C22semidirect
38. #14583606C22semidirect
44. #14583588C22semidirect
50. #14583553C22semidirect
53. #14583548C22semidirect
59. #14583507C22semidirect
60. #14583507C22semidirect
66. #14583456C22semidirect
74. #14583378C22semidirect
75. #14583378C22semidirect
77. #14583308C22semidirect
78. #14583306C22semidirect
79. #14583299C22semidirect
80. #14583293C22semidirect
81. #14583290C22semidirect
83. #14583268C22semidirect
84. #14583266C22semidirect
86. #14583259C22semidirect
87. #14583252C22semidirect
88. #14583248C22semidirect
89. #14583243C22semidirect
90. #14583240C22semidirect
91. #14583238C22semidirect
92. #14583236C22semidirect
93. #14583234C22semidirect
94. #14583234C22semidirect
95. #14583233C22semidirect
96. #14583231C22semidirect
98. #14583216C22semidirect
99. #14583214C22semidirect
101. #14583209C22semidirect
102. #14583206C22semidirect
103. #14583205C22semidirect
105. #14583201C22semidirect
106. #14583199C22semidirect
107. #14583198C22semidirect
109. #14583193C22semidirect
111. #14583179C22semidirect
112. #14583177C22semidirect
113. #14583158C22semidirect
114. #14583157C22semidirect
115. #14583157C22semidirect
116. #14583148C22semidirect
119. #14583144C22semidirect
121. #14583139C22semidirect
122. #14583129C22semidirect
124. #14583125C22semidirect
125. #14583121C22semidirect
126. #14583120C22semidirect
127. #14583114C22semidirect
128. #14583112C22semidirect
129. #14583108C22semidirect
131. #14583104C22semidirect
132. #14583103C22semidirect
138. #14583062C22semidirect
139. #14583061C22semidirect
145. #14583045C22semidirect
148. #14583041C22semidirect
149. #14583027C22semidirect
150. #14583027C22semidirect
152. #14583009C22semidirect
153. #14583004C22semidirect
156. #14582999C22semidirect
157. #14582999C22semidirect
158. #14582999C22semidirect
159. #14582998C22semidirect
160. #14582997C22semidirect
162. #14582996C22semidirect
163. C4×Dic172C22semidirect
164. C4×Dic172C22semidirect
165. #14582993C22semidirect
167. C4×#10621873C22semidirect
168. C4×#10621873C22semidirect
170. #14582979C22semidirect
172. #14582975C22semidirect
173. #14582972C22semidirect
174. #14582972C22semidirect
176. #14582968C22semidirect
177. #14582958C22semidirect
178. #14582958C22semidirect
179. #14582956C22semidirect
180. #14582940C22semidirect
181. #107×D43C22semidirect
183. #14582897C22semidirect
184. #14582892C22semidirect
186. #14582853C22semidirect
187. #14582853C22semidirect
189. C4×#41×C43C22semidirect
192. C43×#442C22semidirect
194. C43×#440C22semidirect
196. C4×SD16×C43C22semidirect
198. C4×D8×C43C22semidirect
199. C43×#428C22semidirect
201. C43×#417C22semidirect
202. C4×M16×C43C22semidirect
552. D8×C43#41semidirect
876. C4×AGL(1,ℤ/8)D43semidirect
933. C4×#41C2×D43semidirect
1012. #442C2×D43semidirect
1024. #440C2×D43semidirect
1032. C4×SD16C2×D43semidirect
1036. C4×D8C2×D43semidirect
1047. #428C2×D43semidirect
1052. #417C2×D43semidirect
1057. C4×M16C2×D43semidirect
1058. C43#61509semidirect
1420. D8#10621898semidirect

Maximal subgroups

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

subgroupindex
#191485732
#191485352
#191476492
#191475542
#191473772
#191473532
#191471662
#191470852
#191470362
#191468962
#191468072
#191466922
#191466812
#191466172
#191465762
#191461892
#191461222
#191461142
#191452592
#191452192
#191452012
#191448532
#191448442
#191448052
#191447902
#191447042
#191446942
#191435802
#191434652
#191434202
C4×AGL(1,ℤ/8)×C432
#6150943