Finite Group Databasebeta

← #25988952

Subgroups — #25988952

Order 11008.

2114 conjugacy classes of subgroups.

The subgroup lattice has 1842 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19148501C211yesmaximal, characteristic, complemented
2D4×#10621900C211yesmaximal, characteristic, complemented
3#19147612C211yesmaximal, characteristic, complemented
4#19147610C211yesmaximal, characteristic, complemented
5#19147314C211yesmaximal, characteristic, complemented
6#19147308C211yesmaximal, characteristic, complemented
7#19146895C211yesmaximal, characteristic, complemented
8#19146893C211yesmaximal, characteristic, complemented
9#19146592C211yesmaximal, characteristic, complemented
10#19146590C211yesmaximal, characteristic, complemented
11#19146588C211yesmaximal, characteristic, complemented
12#19146586C211yesmaximal, characteristic, complemented
13#19146193C211yesmaximal, characteristic, complemented
14#19146189C211yesmaximal, characteristic, complemented
15#19146094C211yesmaximal, characteristic, complemented
16#19146090C211yesmaximal, characteristic, complemented
17#19146086C211yesmaximal, characteristic, complemented
18#19145980C211yesmaximal, characteristic, complemented
19#19145977C211yesmaximal, characteristic, complemented
20#19145901C211yesmaximal, characteristic, complemented
21#19145587C211yesmaximal, characteristic, complemented
22#19145585C211yesmaximal, characteristic, complemented
23#19145518C211yesmaximal, characteristic, complemented
24#19144692C211yesmaximal, characteristic, complemented
25#19144689C211yesmaximal, characteristic, complemented
26#19144590C211yesmaximal, characteristic, complemented
27#19144057C211yesmaximal, characteristic, complemented
28#19144056C211yesmaximal, characteristic, complemented
29C2×#14583102C211yesmaximal, characteristic, complemented
30#19143707C211yesmaximal, characteristic, complemented
31C43×#3265C211yesmaximal, characteristic, complemented
32C22×#10621900—21no—
33C2×#13063352C2211yescharacteristic
34C2×#13063351C2211yescharacteristic
35C2×#13063349C2211yescharacteristic
36C22×#10621883C2211yescharacteristic
37#14583621C2211yescharacteristic, complemented
38#14583618C2211yescharacteristic, complemented
39#14583611—21no—
40#14583603—21no—
41#14583598—21no—
42#14583592—21no—
43#14583569C2211yescharacteristic
44D4×Dic86C2211yescharacteristic
45#14583560C2211yescharacteristic, complemented
46#14583558C2211yescharacteristic, complemented
47#14583555—21no—
48#14583555C2211yescharacteristic, complemented
49#14583553C2211yescharacteristic
50#14583551C2211yescharacteristic, complemented
51#14583549C2211yescharacteristic
52#14583549C2211yescharacteristic
53#14583548C2211yescharacteristic, complemented
54#14583543—21no—
55#14583536—21no—
56#14583536—21no—
57D4×C22⋊D43C2211yescharacteristic
58D4×C22⋊D43C2211yescharacteristic
59#14583519—21no—
60#14583513—21no—
61#14583476—21no—
62#14583453C2211yescharacteristic, complemented
63#14583451C2211yescharacteristic, complemented
64#14583448C2211yescharacteristic, complemented
65#14583447C2211yescharacteristic
66#14583445C2211yescharacteristic, complemented
67#14583444C2211yescharacteristic
68#14583444C2211yescharacteristic
69#14583444C2211yescharacteristic, complemented
70C2×#13063323C2211yescharacteristic, complemented
71#14583409—21no—
72#14583405—21no—
73#14583405—21no—
74#14583378—21no—
75C4×#10621900C2211yescharacteristic
76C2×D4×Dic43C2211yescharacteristic
77C2×D4×Dic43C2211yescharacteristic
78C4×D4×D43C2211yescharacteristic
79#14583287C2211yescharacteristic, complemented
80#14583286C2211yescharacteristic, complemented
81#14583285C2211yescharacteristic, complemented
82#14583270C2211yescharacteristic, complemented
83#14583270C2211yescharacteristic, complemented
84#14583260C2211yescharacteristic, complemented
85#14583259C2211yescharacteristic, complemented
86#14583258C2211yescharacteristic, complemented
87#14583257C2211yescharacteristic, complemented
88#14583248C2211yescharacteristic, complemented
89#14583248C2211yescharacteristic, complemented
90#14583236C2211yescharacteristic, complemented
91#14583235C2211yescharacteristic, complemented
92#14583233C2211yescharacteristic, complemented
93#14583232C2211yescharacteristic, complemented
94#14583213C2211yescharacteristic, complemented
95#14583210C2211yescharacteristic, complemented
96#14583195C2211yescharacteristic, complemented
97#14583194C2211yescharacteristic, complemented
98#14583193C2211yescharacteristic, complemented
99#14583192C2211yescharacteristic, complemented
100#14583178C2211yescharacteristic, complemented
101#14583178C2211yescharacteristic, complemented
102#14583177C2211yescharacteristic
103#14583177C2211yescharacteristic, complemented
104#14583177C2211yescharacteristic, complemented
105#14583177C2211yescharacteristic, complemented
106#14583147C2211yescharacteristic, complemented
107#14583145C2211yescharacteristic, complemented
108#14583144C2211yescharacteristic, complemented
109#14583144C2211yescharacteristic, complemented
110#14583143C2211yescharacteristic, complemented
111#14583142C2211yescharacteristic, complemented
112#14583142C2211yescharacteristic, complemented
113#14583135C2211yescharacteristic, complemented
114#14583133C2211yescharacteristic, complemented
115#14583133C2211yescharacteristic, complemented
116#14583116C2211yescharacteristic
117#14583116C2211yescharacteristic, complemented
118#14583115C2211yescharacteristic, complemented
119#14583114C2211yescharacteristic
120#14583112C2211yescharacteristic
121#14583112C2211yescharacteristic, complemented
122#14583111C2211yescharacteristic, complemented
123#14583103C2211yescharacteristic, complemented
124#14583103C2211yescharacteristic, complemented
125#14583102C2211yescharacteristic
126#14583102C2211yescharacteristic
127#14583102C2211yescharacteristic
128#14583102C2211yescharacteristic
129#14583102C2211yescharacteristic, complemented
130#14583102C2211yescharacteristic, complemented
131#14583102C2211yescharacteristic, complemented
132#14583102C2211yescharacteristic, complemented
133#14583102C2211yescharacteristic, complemented
134#14583102C2211yescharacteristic, complemented
135#14583098C2211yescharacteristic, complemented
136#14583097C2211yescharacteristic, complemented
137#14583096C2211yescharacteristic, complemented
138#14583093C2211yescharacteristic, complemented
139#14583093C2211yescharacteristic, complemented
140#14583092C2211yescharacteristic
141#14583092C2211yescharacteristic, complemented
142#14583092C2211yescharacteristic, complemented
143#14583092C2211yescharacteristic, complemented
144#14583051C2211yescharacteristic
145#14583050C2211yescharacteristic
146#14583048C2211yescharacteristic
147#14583046C2211yescharacteristic, complemented
148#14583044C2211yescharacteristic, complemented
149#14583043C2211yescharacteristic, complemented
150#14583043C2211yescharacteristic, complemented
151#14583042C2211yescharacteristic, complemented
152#14583041C2211yescharacteristic, complemented
153#14583041C2211yescharacteristic, complemented
154#14583040C2211yescharacteristic, complemented
155#14583038C2211yescharacteristic, complemented
156#14583037C2211yescharacteristic, complemented
157#14583033C2211yescharacteristic
158#14583028C2211yescharacteristic, complemented
159#14583027C2211yescharacteristic, complemented
160#14583001C2211yescharacteristic, complemented
161#14583000C2211yescharacteristic
162#14583000C2211yescharacteristic, complemented
163#14582999C2211yescharacteristic
164#14582997C2211yescharacteristic, complemented
165#14582996C2211yescharacteristic
166#14582996C2211yescharacteristic, complemented
167D8×Dic43C2211yescharacteristic
168D8×Dic43C2211yescharacteristic, complemented
169#14582979C2211yescharacteristic
170#14582979C2211yescharacteristic, complemented
171#14582975C2211yescharacteristic, complemented
172#14582974C2211yescharacteristic, complemented
173#14582971C2211yescharacteristic, complemented
174#14582970C2211yescharacteristic, complemented
175#14582967C2211yescharacteristic, complemented
176#14582954C2211yescharacteristic, complemented
177#14582953C2211yescharacteristic, complemented
178#14582949C2211yescharacteristic, complemented
179#14582922C2211yescharacteristic, complemented
180#14582921C2211yescharacteristic, complemented
181C2×Dic43⋊C8C2211yescharacteristic, complemented
182#14582901C2211yescharacteristic, complemented
183#14582900C2211yescharacteristic, complemented
184#14582899C2211yescharacteristic, complemented
185#14582897C2211yescharacteristic, complemented
186C2×#13063250C2211yescharacteristic, complemented
187C2×#13063249C2211yescharacteristic, complemented
188C2×AGL(1,ℤ/8)×C43C2211yescharacteristic
189C22×SD16×C43C2211yescharacteristic
190C43×#548C2211yescharacteristic, complemented
191D42×C43C2211yescharacteristic
192C43×#496C2211yescharacteristic, complemented
193C43×#468C2211yescharacteristic, complemented
194C43×#466C2211yescharacteristic, complemented
195C43×#463C2211yescharacteristic
196C43×#460C2211yescharacteristic, complemented
197C43×#450C2211yescharacteristic
198C43×#449C2211yescharacteristic, complemented
199C43×#448C2211yescharacteristic, complemented
200C43×#447C2211yescharacteristic
201C43×#440C2211yescharacteristic
202C43×#435C2211yescharacteristic, complemented
203C2×#10621902C2311yescharacteristic
204C2×#10621898C2311yescharacteristic
205C2×#10621900—21no—
206C2×#10621900—21no—
207C2×#10621900—21no—
208C2×#10621900—21no—
209C2×#10621900—21no—
210C2×#10621900—21no—
211C2×#10621900—21no—
212C2×#10621900—21no—
213C2×#10621900—48no—
214C2×#10621900D411yescharacteristic
215C2×#10621900C2311yescharacteristic
216C22×Dic86—21no—
217C22×Dic86C2311yescharacteristic
218C22×C22⋊D43—21no—
219C22×C22⋊D43—21no—
220C2×D4×D43C2311yescharacteristic
221C23×Dic43—21no—
222C23×Dic43—21no—
223C22×C4×D43—21no—
224#13063352—42no—
225#13063351—42no—
226#13063349—42no—
227C2×#10621873C2311yescharacteristic
228C2×#10621873C2311yescharacteristic
229C2×#10621883—42no—
230C2×#10621883C2311yescharacteristic
231C2×#10621883C2311yescharacteristic
232C2×#10621883C2311yescharacteristic
233C2×#10621883C2311yescharacteristic
234C2×#10621883C2311yescharacteristic
235C2×#10621883C2311yescharacteristic
236C2×#10621884C2311yescharacteristic
237C2×#10621884C2311yescharacteristic
238C2×D344C2311yescharacteristic
239C2×#10621882C2311yescharacteristic
240C2×#10621882C2311yescharacteristic
241C2×#10621882C2311yescharacteristic
242C2×#10621882C2311yescharacteristic
243C2×#10621877C2311yescharacteristic
244C2×#10621872C2311yescharacteristic
245C2×#10621872C2311yescharacteristic
246C22×C43⋊C8C2311yescharacteristic
247#13063325C2311yescharacteristic
248#13063324C2311yescharacteristic
249#13063324C2311yescharacteristic
250#13063324C2311yescharacteristic
251#13063323—21no—
252#13063323—21no—
253#13063323C2311yescharacteristic
254#13063323C2311yescharacteristic
255#13063323C2311yescharacteristic
256#13063323C2311yescharacteristic
257#13063321C2311yescharacteristic
258#13063321C2311yescharacteristic
259#13063321C2311yescharacteristic
260#13063320—21no—
261#13063319—21no—
262#13063318—21no—
263#13063318—21no—
264#13063315—21no—
265#13063315—21no—
266#13063314—21no—
267#13063314C2311yescharacteristic
268#13063313C2311yescharacteristic
269#13063312—21no—
270#13063312C2311yescharacteristic
271#13063311—21no—
272#13063311—21no—
273#13063311—21no—
274#13063311—21no—
275#13063311—21no—
276#13063310—21no—
277#13063309—21no—
278#13063309—21no—
279#13063308—21no—
280#13063307—21no—
281#13063307—21no—
282#13063307—21no—
283#13063306—21no—
284#13063306—21no—
285#13063306—21no—
286#13063305—21no—
287#13063305C2311yescharacteristic
288#13063304—21no—
289#13063304C2311yescharacteristic
290#13063303—21no—
291#13063303—21no—
292#13063303—21no—
293#13063302—21no—
294#13063302—21no—
295#13063302—21no—
296#13063302—21no—
297#13063302—21no—
298#13063302—21no—
299#13063302—21no—
300#13063301—21no—
301#13063301C2311yescharacteristic
302#13063299—21no—
303#13063299C2311yescharacteristic
304#13063299C2311yescharacteristic
305#13063299C2311yescharacteristic
306#13063298—21no—
307#13063298—21no—
308#13063298—21no—
309#13063297—21no—
310#13063297—21no—
311#13063297—21no—
312#13063297—21no—
313#13063297—21no—
314#13063297—21no—
315#13063297—21no—
316#13063297—21no—
317#13063297—21no—
318#13063297—21no—
319#13063297—21no—
320#13063297—21no—
321#13063296—21no—
322#13063296—21no—
323#13063296C2311yescharacteristic
324#13063296C2311yescharacteristic
325#13063294—21no—
326#13063294—21no—
327#13063293—21no—
328#13063293—21no—
329Q8×Dic43C2311yescharacteristic
330C4×Dic86—21no—
331C4×Dic86C2311yescharacteristic
332C4×Dic86C2311yescharacteristic
333#13063290—21no—
334#13063290D411yescharacteristic
335#13063290C2311yescharacteristic
336C4×D172C2311yescharacteristic
337D4×Dic43—21no—
338D4×Dic43—21no—
339D4×Dic43—21no—
340D4×Dic43—21no—
341D4×Dic43—21no—
342D4×Dic43—21no—
343D4×Dic43D411yescharacteristic
344D4×Dic43C2311yescharacteristic
345D4×Dic43C2311yescharacteristic
346D4×Dic43C2311yescharacteristic
347D4×Dic43C2311yescharacteristic
348D4×Dic43C2311yescharacteristic
349D4×Dic43C2311yescharacteristic
350D4×Dic43C2311yescharacteristic
351D4×Dic43C2311yescharacteristic
352#13063287C2311yescharacteristic
353#13063287C2311yescharacteristic
354C4×C22⋊D43—21no—
355C4×C22⋊D43—21no—
356C4×C22⋊D43—21no—
357C4×C22⋊D43—21no—
358C4×C22⋊D43C2311yescharacteristic
359C4×C22⋊D43C2311yescharacteristic
360(C22⋊D43)⋊C4—21no—
361(C22⋊D43)⋊C4—21no—
362(C22⋊D43)⋊C4—21no—
363(C22⋊D43)⋊C4—21no—
364(C22⋊D43)⋊C4—21no—
365(C22⋊D43)⋊C4—21no—
366(C22⋊D43)⋊C4—21no—
367(C22⋊D43)⋊C4D411yescharacteristic
368(C22⋊D43)⋊C4D411yescharacteristic
369#13063283D411yescharacteristic
370#13063282—21no—
371#13063282—21no—
372#13063281—21no—
373#13063281—21no—
374#13063281D411yescharacteristic
375#13063281D411yescharacteristic
376C2×C4⋊Dic43C2311yescharacteristic
377C2×C4⋊Dic43C2311yescharacteristic
378C2×Dic43⋊C4—21no—
379C2×Dic43⋊C4—21no—
380C2×Dic43⋊C4—21no—
381C4⋊C4×D43—21no—
382C4⋊C4×D43C2311yescharacteristic
383C2×C22⋊Dic43—21no—
384C2×C22⋊Dic43—21no—
385C22⋊C4×D43—21no—
386C2×C4×Dic43C2311yescharacteristic
387C2×C4×Dic43C2311yescharacteristic
388C42×D43C2311yescharacteristic
389#13063259C2311yescharacteristic
390#13063259C2311yescharacteristic
391#13063259C2311yescharacteristic
392#13063258C2311yescharacteristic
393#13063258C2311yescharacteristic
394#13063258C2311yescharacteristic
395#13063258C2311yescharacteristic
396C4⋊(C43⋊C8)C2311yescharacteristic
397Dic43⋊C8C2311yescharacteristic
398Dic43⋊C8C2311yescharacteristic
399Dic43⋊C8C2311yescharacteristic
400Dic43⋊C8C2311yescharacteristic
401Dic43⋊C8C2311yescharacteristic
402Dic43⋊C8C2311yescharacteristic
403Dic43⋊C8C2311yescharacteristic
404Dic43⋊C8C2311yescharacteristic
405#13063250C2311yescharacteristic
406#13063250C2311yescharacteristic
407#13063250C2311yescharacteristic
408#13063250C2311yescharacteristic
409#13063250C2311yescharacteristic
410#13063250C2311yescharacteristic
411#13063249C2311yescharacteristic
412#13063249C2311yescharacteristic
413#13063249C2311yescharacteristic
414#13063249C2311yescharacteristic
415#13063249C2311yescharacteristic
416#13063249C2311yescharacteristic
417#13063248C2311yescharacteristic
418#13063248C2311yescharacteristic
419#13063247C2311yescharacteristic
420#13063247C2311yescharacteristic
421#13063247C2311yescharacteristic
422#13063247C2311yescharacteristic
423#13063246C2311yescharacteristic
424#13063246C2311yescharacteristic
425#13063246C2311yescharacteristic
426#13063246C2311yescharacteristic
427#13063246C2311yescharacteristic
428#13063246C2311yescharacteristic
429#13063245C2311yescharacteristic
430#13063245C2311yescharacteristic
431C22⋊(C43⋊C8)C2311yescharacteristic
432C22⋊(C43⋊C8)C2311yescharacteristic
433(C2×D43)⋊C8C2311yescharacteristic
434(C2×D43)⋊C8C2311yescharacteristic
435#13063236C2311yescharacteristic
436#13063235C2311yescharacteristic
437#13063235C2311yescharacteristic
438C8×Dic43C2311yescharacteristic
439C8×Dic43C2311yescharacteristic
440C2×#41×C43C2311yescharacteristic
441C22×Q8×C43C2311yescharacteristic
442C22×D4×C43—21no—
443C22×D4×C43C2311yescharacteristic
444C22×D4×C43C2311yescharacteristic
445AGL(1,ℤ/8)×C43—42no—
446C2×SD16×C43—42no—
447C2×SD16×C43C2311yescharacteristic
448C2×SD16×C43C2311yescharacteristic
449C2×SD16×C43C2311yescharacteristic
450C2×SD16×C43C2311yescharacteristic
451C2×SD16×C43C2311yescharacteristic
452C2×SD16×C43C2311yescharacteristic
453C2×D8×C43C2311yescharacteristic
454C2×D8×C43C2311yescharacteristic
455C2×D8×C43C2311yescharacteristic
456C2×M16×C43C2311yescharacteristic
457C22×C8×C43C2311yescharacteristic
458#127×C43C2311yescharacteristic
459#124×C43—21no—
460#124×C43C2311yescharacteristic
461C22⋊Q8×C43—21no—
462C22⋊Q8×C43C2311yescharacteristic
463#121×C43—21no—
464#121×C43—21no—
465#121×C43C2311yescharacteristic
466#121×C43C2311yescharacteristic
467#121×C43C2311yescharacteristic
468#120×C43—21no—
469#120×C43—21no—
470C4×Q8×C43C2311yescharacteristic
471C4×D4×C43—21no—
472C4×D4×C43C2311yescharacteristic
473C4×D4×C43C2311yescharacteristic
474#107×C43C2311yescharacteristic
475C4⋊C8×C43C2311yescharacteristic
476#103×C43C2311yescharacteristic
477#103×C43C2311yescharacteristic
478#102×C43C2311yescharacteristic
479#102×C43C2311yescharacteristic
480#102×C43C2311yescharacteristic
481#102×C43C2311yescharacteristic
482C22⋊C8×C43C2311yescharacteristic
483C22⋊C8×C43C2311yescharacteristic
484#97×C43C2311yescharacteristic
485C24×C43—21no—
486C24×C43—21no—
487C23×D43—21no—
488#41×C43—41no—
489#41×C43—41no—
490C2×Q8×C43—21no—
491C2×Q8×C43—41no—
492C2×Q8×C43—41no—
493C2×Q8×C43C2411yescharacteristic
494C2×Q8×C43C2411yescharacteristic
495C2×D4×C43—21no—
496C2×D4×C43—21no—
497C2×D4×C43—21no—
498C2×D4×C43—21no—
499C2×D4×C43—21no—
500C2×D4×C43—21no—
501C2×D4×C43—21no—
502C2×D4×C43—21no—
503C2×D4×C43—22no—
504C2×D4×C43—22no—
505C2×D4×C43—41no—
506C2×D4×C43—41no—
507C2×D4×C43—44no—
508C2×D4×C43C2×D411yescharacteristic
509C2×D4×C43C2411yescharacteristic
510C2×D4×C43C2411yescharacteristic
511C2×D4×C43C2411yescharacteristic
512C2×D4×C43C2411yescharacteristic
513C22×C4×C43—21no—
514C22×C4×C43—21no—
515C22×C4×C43—21no—
516C22×C4×C43C2411yescharacteristic
517C22×C4×C43C2411yescharacteristic
518C2×C22⋊D43—21no—
519C2×C22⋊D43—21no—
520C2×C22⋊D43—21no—
521C2×C22⋊D43—21no—
522C2×C22⋊D43—21no—
523C2×C22⋊D43—21no—
524C2×C22⋊D43—21no—
525C2×C22⋊D43—21no—
526C2×C22⋊D43—21no—
527C2×C22⋊D43—21no—
528C2×C22⋊D43—21no—
529C2×C22⋊D43—21no—
530C2×C22⋊D43—21no—
531C2×C22⋊D43—21no—
532C2×C22⋊D43—44no—
533C2×C22⋊D43—44no—
534C2×C22⋊D43C2×D411yescharacteristic
535C2×C22⋊D43C2×D411yescharacteristic
536C22×Dic43—21no—
537C22×Dic43—21no—
538C22×Dic43—21no—
539C22×Dic43—21no—
540C22×Dic43—21no—
541C22×Dic43—21no—
542C22×Dic43—21no—
543C22×Dic43—21no—
544C22×Dic43—21no—
545C22×Dic43—21no—
546C22×Dic43—21no—
547C22×Dic43—21no—
548C22×Dic43—44no—
549C22×Dic43—44no—
550C22×Dic43C2×D411yescharacteristic
551C22×Dic43C2×D411yescharacteristic
552C22×Dic43C2×D411yescharacteristic
553C22×Dic43C2×D411yescharacteristic
554#10621902—41no—
555#10621902—41no—
556#10621900—24no—
557#10621900—41no—
558#10621900—41no—
559#10621900—44no—
560#10621900—44no—
561#10621900—44no—
562#10621900—44no—
563#10621900—44no—
564#10621900—44no—
565#10621900—44no—
566#10621900—44no—
567D4×D43—22no—
568D4×D43—41no—
569#10621898—41no—
570#10621898—41no—
571C2×D172—21no—
572C2×D172C2411yescharacteristic
573C2×D172C2411yescharacteristic
574C2×C4×D43—21no—
575C2×C4×D43—21no—
576C2×C4×D43—21no—
577C2×C4×D43—21no—
578C2×C4×D43—21no—
579C2×C4×D43—21no—
580C2×C4×D43—44no—
581C2×C4×D43C2×D411yescharacteristic
582C2×C4×D43C2×D411yescharacteristic
583C2×C4×D43C2411yescharacteristic
584C2×Dic86—21no—
585C2×Dic86—21no—
586C2×Dic86—21no—
587C2×Dic86—21no—
588C2×Dic86—21no—
589C2×Dic86—41no—
590C2×Dic86—41no—
591C2×Dic86—44no—
592C2×Dic86C2×D411yescharacteristic
593C2×Dic86C2411yescharacteristic
594C2×Dic86C2411yescharacteristic
595SD16×C43—22no—
596SD16×C43—22no—
597SD16×C43—41no—
598SD16×C43—41no—
599SD16×C43—41no—
600SD16×C43—41no—
601D8×C43—22no—
602D8×C43—41no—
603D8×C43—41no—
604M16×C43—41no—
605C2×C8×C43—41no—
606C2×C8×C43C2411yescharacteristic
607C2×C8×C43C2411yescharacteristic
608C2×C8×C43C2411yescharacteristic
609C2×C8×C43C2411yescharacteristic
610C4⋊C4×C43—21no—
611C4⋊C4×C43—21no—
612C4⋊C4×C43C2×D411yescharacteristic
613C4⋊C4×C43C2411yescharacteristic
614C4⋊C4×C43C2411yescharacteristic
615C22⋊C4×C43—21no—
616C22⋊C4×C43—21no—
617C22⋊C4×C43—21no—
618C22⋊C4×C43—21no—
619C22⋊C4×C43—21no—
620C22⋊C4×C43—21no—
621C22⋊C4×C43—21no—
622C22⋊C4×C43C2×D411yescharacteristic
623C22⋊C4×C43C2×D411yescharacteristic
624C42×C43—21no—
625C42×C43C2411yescharacteristic
626C22⋊Dic43—21no—
627C22⋊Dic43—21no—
628C22⋊Dic43—21no—
629C22⋊Dic43—21no—
630C22⋊Dic43—21no—
631C22⋊Dic43—21no—
632C22⋊Dic43—21no—
633C22⋊Dic43—21no—
634C22⋊Dic43—21no—
635C22⋊Dic43—21no—
636C22⋊Dic43—21no—
637C22⋊Dic43—21no—
638C22⋊Dic43—21no—
639C22⋊Dic43C2×D411yescharacteristic
640C22⋊Dic43C2×D411yescharacteristic
641#10621884—41no—
642#10621884—41no—
643#10621883—22no—
644#10621883—22no—
645#10621883—41no—
646#10621883—41no—
647#10621883—41no—
648#10621883—41no—
649#10621882—22no—
650#10621882—41no—
651#10621882—41no—
652#10621882—41no—
653(C2×D43)⋊C4—21no—
654(C2×D43)⋊C4—21no—
655(C2×D43)⋊C4—21no—
656(C2×D43)⋊C4—21no—
657(C2×D43)⋊C4—21no—
658(C2×D43)⋊C4—21no—
659(C2×D43)⋊C4—21no—
660(C2×D43)⋊C4—21no—
661(C2×D43)⋊C4—21no—
662(C2×D43)⋊C4—21no—
663(C2×D43)⋊C4—21no—
664(C2×D43)⋊C4—21no—
665(C2×D43)⋊C4C2×D411yescharacteristic
666(C2×D43)⋊C4C2×D411yescharacteristic
667C4⋊Dic43—21no—
668C4⋊Dic43—21no—
669C4⋊Dic43—21no—
670C4⋊Dic43—21no—
671C4⋊Dic43—21no—
672C4⋊Dic43C2×D411yescharacteristic
673C4⋊Dic43C2411yescharacteristic
674C4⋊Dic43C2411yescharacteristic
675C4⋊Dic43C2411yescharacteristic
676C4⋊Dic43C2411yescharacteristic
677Dic43⋊C4—21no—
678Dic43⋊C4—21no—
679Dic43⋊C4—21no—
680Dic43⋊C4—21no—
681Dic43⋊C4—21no—
682Dic43⋊C4—21no—
683Dic43⋊C4—21no—
684Dic43⋊C4—21no—
685Dic43⋊C4—21no—
686Dic43⋊C4—21no—
687Dic43⋊C4—21no—
688Dic43⋊C4—21no—
689Dic43⋊C4—21no—
690Dic43⋊C4—21no—
691Dic43⋊C4—21no—
692Dic43⋊C4—21no—
693Dic43⋊C4C2×D411yescharacteristic
694Dic43⋊C4C2×D411yescharacteristic
695Dic43⋊C4C2×D411yescharacteristic
696Dic43⋊C4C2×D411yescharacteristic
697C4×Dic43—21no—
698C4×Dic43—21no—
699C4×Dic43—21no—
700C4×Dic43C2×D411yescharacteristic
701C4×Dic43C2×D411yescharacteristic
702C4×Dic43C2×D411yescharacteristic
703C4×Dic43C2×D411yescharacteristic
704C4×Dic43C2×D411yescharacteristic
705C4×Dic43C2×D411yescharacteristic
706C4×Dic43C2411yescharacteristic
707C4×Dic43C2411yescharacteristic
708C4×Dic43C2411yescharacteristic
709#10621877—41no—
710C2×C43⋊C8—41no—
711C2×C43⋊C8C2411yescharacteristic
712C2×C43⋊C8C2411yescharacteristic
713C2×C43⋊C8C2411yescharacteristic
714C2×C43⋊C8C2411yescharacteristic
715D344—41no—
716#10621873—41no—
717#10621873—41no—
718#10621872—41no—
719#10621872—41no—
720C23×C43—21no—
721C23×C43—21no—
722C23×C43—21no—
723C23×C43—21no—
724C23×C43—42no—
725C23×C43—42no—
726C23×C43—42no—
727C23×C43—42no—
728C23×C43—81no—
729C23×C43—81no—
730C23×C43C22×D411yescharacteristic
731C23×C43C22×D411yescharacteristic
732C22×D43—21no—
733C22×D43—21no—
734C22×D43—42no—
735C22×D43—42no—
736C22×D43—81no—
737C22×D43C22×D411yescharacteristic
738Q8×C43—21no—
739Q8×C43—21no—
740Q8×C43—21no—
741Q8×C43—21no—
742Q8×C43—81no—
743D4×C43—22no—
744D4×C43—21no—
745D4×C43—21no—
746D4×C43—21no—
747D4×C43—21no—
748D4×C43—21no—
749D4×C43—21no—
750D4×C43—21no—
751D4×C43—42no—
752D4×C43—42no—
753D4×C43—42no—
754D4×C43—42no—
755D4×C43—42no—
756D4×C43—42no—
757D4×C43—81no—
758D4×C43—81no—
759D4×C43H(5,𝔽2)12yes—
760C2×C4×C43—21no—
761C2×C4×C43—21no—
762C2×C4×C43—21no—
763C2×C4×C43—21no—
764C2×C4×C43—21no—
765C2×C4×C43—21no—
766C2×C4×C43—21no—
767C2×C4×C43—21no—
768C2×C4×C43—42no—
769C2×C4×C43—81no—
770C2×C4×C43—81no—
771C2×C4×C43C22×D411yescharacteristic
772C2×C4×C43C22×D411yescharacteristic
773C2×C4×C43C22×D411yescharacteristic
774C2×C4×C43C22×D411yescharacteristic
775C2×C4×C43C2511yescharacteristic
776C22⋊D43—22no—
777C22⋊D43—22no—
778C22⋊D43—42no—
779C22⋊D43—42no—
780C22⋊D43—42no—
781C22⋊D43—42no—
782C22⋊D43—42no—
783C22⋊D43—42no—
784C22⋊D43—42no—
785C22⋊D43—42no—
786C22⋊D43—42no—
787C22⋊D43—42no—
788C22⋊D43—81no—
789C22⋊D43—81no—
790C22⋊D43—81no—
791C22⋊D43—81no—
792C2×Dic43—22no—
793C2×Dic43—21no—
794C2×Dic43—21no—
795C2×Dic43—21no—
796C2×Dic43—21no—
797C2×Dic43—21no—
798C2×Dic43—21no—
799C2×Dic43—41no—
800C2×Dic43—41no—
801C2×Dic43—42no—
802C2×Dic43—42no—
803C2×Dic43—42no—
804C2×Dic43—42no—
805C2×Dic43—42no—
806C2×Dic43—42no—
807C2×Dic43—42no—
808C2×Dic43—42no—
809C2×Dic43—42no—
810C2×Dic43—42no—
811C2×Dic43—81no—
812C2×Dic43—81no—
813C2×Dic43AGL(1,ℤ/8)14yescomplemented
814C2×Dic43C22×D411yescharacteristic
815C2×Dic43C22×D411yescharacteristic
816C2×Dic43C22×D411yescharacteristic
817C2×Dic43C22×D411yescharacteristic
818C2×Dic43C22×D411yescharacteristic
819C2×Dic43C22×D411yescharacteristic
820C2×Dic43C22×D411yescharacteristic
821D172—21no—
822D172—21no—
823D172—21no—
824D172—21no—
825D172—81no—
826C4×D43—21no—
827C4×D43—21no—
828C4×D43—22no—
829C4×D43—41no—
830C4×D43—42no—
831C4×D43—42no—
832C4×D43—42no—
833C4×D43—42no—
834C4×D43—81no—
835C4×D43—81no—
836Dic86—22no—
837Dic86—21no—
838Dic86—21no—
839Dic86—21no—
840Dic86—21no—
841Dic86—42no—
842Dic86—42no—
843Dic86—42no—
844Dic86—42no—
845Dic86—81no—
846C8×C43—21no—
847C8×C43—21no—
848C8×C43—21no—
849C8×C43—21no—
850C43⋊C8—21no—
851C43⋊C8—21no—
852C43⋊C8—21no—
853C43⋊C8—21no—
854#61962—431nomaximal, Sylow
855C22×C43—21no—
856C22×C43—21no—
857C22×C43—21no—
858C22×C43—22no—
859C22×C43—21no—
860C22×C43—21no—
861C22×C43—41no—
862C22×C43—41no—
863C22×C43—41no—
864C22×C43—41no—
865C22×C43—41no—
866C22×C43—41no—
867C22×C43—41no—
868C22×C43—41no—
869C22×C43—41no—
870C22×C43—41no—
871C22×C43—41no—
872C22×C43—84no—
873C22×C43—84no—
874C22×C43C2×AGL(1,ℤ/8)12yes—
875C22×C43C23×D411yescharacteristic
876C2×D43—21no—
877C2×D43—21no—
878C2×D43—21no—
879C2×D43—41no—
880C2×D43—41no—
881C2×D43—41no—
882C2×D43—41no—
883C2×D43—41no—
884C2×D43—41no—
885C2×D43—84no—
886C4×C43—21no—
887C4×C43—21no—
888C4×C43—21no—
889C4×C43—21no—
890C4×C43—41no—
891C4×C43—41no—
892C4×C43—41no—
893C4×C43—41no—
894C4×C43C2×H(5,𝔽2)11yescharacteristic
895C4×C43#58511yescharacteristic
896Dic43—21no—
897Dic43—21no—
898Dic43—21no—
899Dic43—21no—
900Dic43—21no—
901Dic43—41no—
902Dic43—41no—
903Dic43—41no—
904Dic43—41no—
905Dic43—41no—
906Dic43—41no—
907Dic43C2×AGL(1,ℤ/8)12yes—
908Dic43C2×AGL(1,ℤ/8)12yes—
909#3511—431no—
910D4×#41—431no—
911#3397—431no—
912#3397—431no—
913#3367—431no—
914#3367—431no—
915#3330—431no—
916#3330—431no—
917#3308—431no—
918#3308—431no—
919#3308—431no—
920#3308—431no—
921#3272—431no—
922#3272—431no—
923#3265—431no—
924#3265—431no—
925#3265—431no—
926#3265D4311yescharacteristic, complemented
927#3254—431no—
928#3254—431no—
929#3245—431no—
930#3214—431no—
931#3214—431no—
932#3206—431no—
933#3110—431no—
934#3110—431no—
935#3100—431no—
936#3036—431no—
937#3036—431no—
938C2×#461—431no—
939#2989—431no—
940C2×C43—22no—
941C2×C43—42no—
942C2×C43—41no—
943C2×C43—81no—
944C2×C43—81no—
945C2×C43—81no—
946C2×C43#348811yescharacteristic
947C2×C43C22×AGL(1,ℤ/8)11yescharacteristic
948C2×C43#358611yescharacteristic
949D43—41no—
950D43—81no—
951D43—81no—
952C22×#41—861no—
953C2×AGL(1,ℤ/8)—431no—
954C2×AGL(1,ℤ/8)—431no—
955C2×AGL(1,ℤ/8)—431no—
956C2×AGL(1,ℤ/8)C2×D4311yescharacteristic
957C22×SD16—431no—
958C22×SD16C2×D4311yescharacteristic
959#556—431no—
960#556—431no—
961#555—861no—
962#554—861no—
963#553—861no—
964#553—861no—
965#550—431no—
966D4×Q8—431no—
967#548—431no—
968#548—431no—
969#548—431no—
970#548—861no—
971#548C2×D4311yescharacteristic, complemented
972#547—431no—
973#547—431no—
974#547—431no—
975#547—431no—
976#547—431no—
977#546—861no—
978#546—861no—
979#546—861no—
980D42—431no—
981D42—431no—
982D42C2×D4311yescharacteristic
983#542—861no—
984#542—861no—
985#537—861no—
986#533—431no—
987#533—431no—
988#532—431no—
989#532—431no—
990#532—431no—
991#532—431no—
992#532—431no—
993#532—431no—
994C2×C4⋊Q8—431no—
995#525—861no—
996#525—861no—
997#525—861no—
998#520—861no—
999C4×#41—431no—
1000C2×C4×D4—431no—
1001C2×C4×D4—431no—
1002C2×C4×D4—431no—
1003#496—431no—
1004#496—431no—
1005#496—431no—
1006#496C2×D4311yescharacteristic, complemented
1007#492—431no—
1008#492—431no—
1009#489—431no—
1010#489—431no—
1011#489—431no—
1012#489—431no—
1013#487—431no—
1014#487—431no—
1015#484—431no—
1016#484—431no—
1017#484—431no—
1018#484—431no—
1019#480—431no—
1020#480—431no—
1021#477—431no—
1022#477—431no—
1023#477—431no—
1024#477—431no—
1025#474—431no—
1026#474—431no—
1027#474—431no—
1028#474—431no—
1029#474—431no—
1030#474—431no—
1031#468—431no—
1032#468—431no—
1033#468—431no—
1034#468—431no—
1035#468—431no—
1036#468—431no—
1037#468—431no—
1038#468C2×D4311yescharacteristic, complemented
1039#466—431no—
1040#466—431no—
1041#466—431no—
1042#466C2×D4311yescharacteristic, complemented
1043#463—431no—
1044#463—431no—
1045#463—431no—
1046#463—431no—
1047#463—431no—
1048#463—431no—
1049#463—431no—
1050#463C2×D4311yescharacteristic
1051#461—431no—
1052#461—431no—
1053#461—431no—
1054#461—431no—
1055#461—431no—
1056#461—431no—
1057#461—431no—
1058#461—431no—
1059#461—431no—
1060#461—431no—
1061#461—431no—
1062#461—431no—
1063#460—431no—
1064#460—431no—
1065#460—431no—
1066#460C2×D4311yescharacteristic, complemented
1067#459—431no—
1068#459—431no—
1069#459—431no—
1070#459—431no—
1071#459—431no—
1072#459—431no—
1073#450—431no—
1074#450—431no—
1075#450—431no—
1076#450C2×D4311yescharacteristic
1077#449—431no—
1078#449—431no—
1079#449—431no—
1080#449—431no—
1081#449—431no—
1082#449—431no—
1083#449—431no—
1084#449C2×D4311yescharacteristic, complemented
1085#448—431no—
1086#448—431no—
1087#448—431no—
1088#448C2×D4311yescharacteristic, complemented
1089#447—431no—
1090#447C2×D4311yescharacteristic
1091#446—431no—
1092#446—431no—
1093#440—431no—
1094#440—431no—
1095#440—431no—
1096#440—431no—
1097#440—431no—
1098#440—431no—
1099#440—431no—
1100#440C2×D4311yescharacteristic
1101C4×D8—431no—
1102C4×D8—431no—
1103C4×D8—431no—
1104C4×D8—431no—
1105#436—431no—
1106#436—431no—
1107#435—431no—
1108#435—431no—
1109#435—431no—
1110#435C2×D4311yescharacteristic, complemented
1111#432—431no—
1112#432—431no—
1113#431—431no—
1114#423—431no—
1115#423—431no—
1116C2×C4⋊C8—431no—
1117#417—431no—
1118#417—431no—
1119#417—431no—
1120#417—431no—
1121C2×#103—431no—
1122C2×#103—431no—
1123C43#6196211yescharacteristic, complemented, Sylow
1124C2×#41—431no—
1125C2×#41—431no—
1126C2×#41—431no—
1127C2×#41—431no—
1128C2×#41—861no—
1129C2×#41—861no—
1130C2×#41—861no—
1131C2×#41—861no—
1132C2×#41—861no—
1133C2×#41—861no—
1134C2×#41—861no—
1135C2×#41—861no—
1136C2×#41—1728no—
1137C2×#41C22×D4311yescharacteristic
1138C22×Q8—431no—
1139C22×Q8—861no—
1140C22×Q8C22×D4311yescharacteristic
1141C22×D4—21no—
1142C22×D4—431no—
1143C22×D4—861no—
1144C22×D4—861no—
1145C22×D4C22×D4311yescharacteristic
1146C22×D4C22×D4311yescharacteristic
1147C23×C4—861no—
1148C23×C4—861no—
1149C23×C4—861no—
1150AGL(1,ℤ/8)—42no—
1151AGL(1,ℤ/8)—1722no—
1152AGL(1,ℤ/8)—1722no—
1153AGL(1,ℤ/8)—1722no—
1154C2×SD16—42no—
1155C2×SD16—431no—
1156C2×SD16—431no—
1157C2×SD16—431no—
1158C2×SD16—431no—
1159C2×SD16—431no—
1160C2×SD16—431no—
1161C2×SD16—431no—
1162C2×SD16—431no—
1163C2×SD16—431no—
1164C2×SD16—431no—
1165C2×SD16—1722no—
1166C2×SD16C22×D4311yescharacteristic
1167C2×SD16C22×D4311yescharacteristic
1168C2×SD16C22×D4311yescharacteristic
1169C2×SD16C22×D4311yescharacteristic
1170C2×SD16C22×D4311yescharacteristic
1171C2×SD16C22×D4311yescharacteristic
1172C2×D8—431no—
1173C2×D8—431no—
1174C2×D8—431no—
1175C2×D8—431no—
1176C2×D8—431no—
1177C2×D8C22×D4311yescharacteristic
1178C2×D8C22×D4311yescharacteristic
1179C2×D8C22×D4311yescharacteristic
1180C2×M16—431no—
1181C2×M16—431no—
1182C2×M16—431no—
1183C2×M16C22×D4311yescharacteristic
1184C22×C8—431no—
1185C22×C8C22×D4311yescharacteristic
1186C4⋊Q8—431no—
1187C4⋊Q8—431no—
1188C4⋊Q8—431no—
1189C4⋊Q8—431no—
1190C4⋊Q8—431no—
1191C4⋊Q8—431no—
1192C4⋊Q8—431no—
1193C4⋊Q8—431no—
1194C4⋊Q8—861no—
1195C4⋊Q8—861no—
1196#127—431no—
1197#127—431no—
1198#127—431no—
1199#127C22×D4311yescharacteristic
1200#126—861no—
1201#126—861no—
1202#126—861no—
1203#126—861no—
1204#125—861no—
1205#125—861no—
1206#124—21no—
1207#124—431no—
1208#124—431no—
1209#124—431no—
1210#124—861no—
1211#124—861no—
1212#124—861no—
1213#124—861no—
1214#124—861no—
1215#124—861no—
1216#124—861no—
1217#124C22×D4311yescharacteristic
1218#123—861no—
1219#123—861no—
1220#123—861no—
1221#123—861no—
1222#123—861no—
1223#123—861no—
1224#123—861no—
1225#123—861no—
1226#123—861no—
1227#123—861no—
1228C22⋊Q8—21no—
1229C22⋊Q8—431no—
1230C22⋊Q8—431no—
1231C22⋊Q8—431no—
1232C22⋊Q8—861no—
1233C22⋊Q8—861no—
1234C22⋊Q8—861no—
1235C22⋊Q8—861no—
1236C22⋊Q8—861no—
1237C22⋊Q8—861no—
1238C22⋊Q8—861no—
1239C22⋊Q8—861no—
1240C22⋊Q8—861no—
1241C22⋊Q8—861no—
1242C22⋊Q8—861no—
1243C22⋊Q8—861no—
1244C22⋊Q8—861no—
1245C22⋊Q8C22×D4311yescharacteristic
1246#121—21no—
1247#121—21no—
1248#121—431no—
1249#121—431no—
1250#121—431no—
1251#121—431no—
1252#121—431no—
1253#121—861no—
1254#121—861no—
1255#121—861no—
1256#121—861no—
1257#121—861no—
1258#121—861no—
1259#121—861no—
1260#121—861no—
1261#121—861no—
1262#121—861no—
1263#121—861no—
1264#121—861no—
1265#121—861no—
1266#121—861no—
1267#121—861no—
1268#121—861no—
1269#121—861no—
1270#121—861no—
1271#121C22×D4311yescharacteristic
1272#121C22×D4311yescharacteristic
1273#121C22×D4311yescharacteristic
1274#120—21no—
1275#120—21no—
1276#120—861no—
1277#120—861no—
1278#120—861no—
1279#120—861no—
1280C4×Q8—431no—
1281C4×Q8—431no—
1282C4×Q8—431no—
1283C4×Q8—431no—
1284C4×Q8—431no—
1285C4×Q8—861no—
1286C4×Q8—861no—
1287C4×Q8C22×D4311yescharacteristic
1288C4×D4—21no—
1289C4×D4—431no—
1290C4×D4—431no—
1291C4×D4—431no—
1292C4×D4—431no—
1293C4×D4—431no—
1294C4×D4—431no—
1295C4×D4—431no—
1296C4×D4—431no—
1297C4×D4—431no—
1298C4×D4—431no—
1299C4×D4—431no—
1300C4×D4—431no—
1301C4×D4—431no—
1302C4×D4—431no—
1303C4×D4—431no—
1304C4×D4—431no—
1305C4×D4—861no—
1306C4×D4—861no—
1307C4×D4—861no—
1308C4×D4—861no—
1309C4×D4—861no—
1310C4×D4—861no—
1311C4×D4—861no—
1312C4×D4—861no—
1313C4×D4—861no—
1314C4×D4—861no—
1315C4×D4—861no—
1316C4×D4—861no—
1317C4×D4—861no—
1318C4×D4—861no—
1319C4×D4—861no—
1320C4×D4—861no—
1321C4×D4—861no—
1322C4×D4C22×D4311yescharacteristic
1323C4×D4C22×D4311yescharacteristic
1324#117—431no—
1325#117—431no—
1326#117—431no—
1327#117—861no—
1328#117—861no—
1329#117—861no—
1330#117—861no—
1331C2×C4⋊C4—431no—
1332C2×C4⋊C4—431no—
1333C2×C4⋊C4—431no—
1334C2×C4⋊C4—861no—
1335C2×C4⋊C4—861no—
1336C2×C4⋊C4—861no—
1337C2×C4⋊C4—861no—
1338C2×C22⋊C4—861no—
1339C2×C22⋊C4—861no—
1340C2×C22⋊C4—861no—
1341C2×C42—431no—
1342C2×C42—431no—
1343C2×C42—431no—
1344#107—431no—
1345#107—431no—
1346#107—431no—
1347#107—431no—
1348#107—431no—
1349#107—431no—
1350#107—431no—
1351#107C22×D4311yescharacteristic
1352C4⋊C8—431no—
1353C4⋊C8—431no—
1354C4⋊C8—431no—
1355C4⋊C8—431no—
1356C4⋊C8—431no—
1357C4⋊C8—431no—
1358C4⋊C8—431no—
1359C4⋊C8—431no—
1360C4⋊C8—431no—
1361C4⋊C8C22×D4311yescharacteristic
1362#103—431no—
1363#103—431no—
1364#103—431no—
1365#103—431no—
1366#103—431no—
1367#103—431no—
1368#103—431no—
1369#103—431no—
1370#103—431no—
1371#103—431no—
1372#103—431no—
1373#103—431no—
1374#103—431no—
1375#103—431no—
1376#103C22×D4311yescharacteristic
1377#103C22×D4311yescharacteristic
1378#102—431no—
1379#102—431no—
1380#102—431no—
1381#102—431no—
1382#102—431no—
1383#102—431no—
1384#102—431no—
1385#102—431no—
1386#102—431no—
1387#102—431no—
1388#102—431no—
1389#102—431no—
1390#102C22×D4311yescharacteristic
1391#102C22×D4311yescharacteristic
1392#102C22×D4311yescharacteristic
1393#102C22×D4311yescharacteristic
1394C22⋊C8—431no—
1395C22⋊C8—431no—
1396C22⋊C8—431no—
1397C22⋊C8—431no—
1398C22⋊C8C22×D4311yescharacteristic
1399C22⋊C8C22×D4311yescharacteristic
1400#97—431no—
1401#97—431no—
1402#97—431no—
1403#97C22×D4311yescharacteristic
1404C4×C8—431no—
1405C4×C8—431no—
1406C24—21no—
1407C24—21no—
1408C24—861no—
1409#41—41no—
1410#41—41no—
1411#41—864no—
1412#41—1721no—
1413#41—1721no—
1414#41—1724no—
1415#41—1724no—
1416#41—1721no—
1417#41—1721no—
1418#41—1721no—
1419#41—1721no—
1420#41—1724no—
1421#41—1724no—
1422#41—1724no—
1423#41—1724no—
1424#41—1724no—
1425#41—1724no—
1426C2×Q8—21no—
1427C2×Q8—41no—
1428C2×Q8—41no—
1429C2×Q8—431no—
1430C2×Q8—431no—
1431C2×Q8—431no—
1432C2×Q8—861no—
1433C2×Q8—861no—
1434C2×Q8—861no—
1435C2×Q8—861no—
1436C2×Q8—861no—
1437C2×Q8—1721no—
1438C2×Q8—1721no—
1439C2×Q8—1724no—
1440C2×Q8C23×D4311yescharacteristic
1441C2×Q8C23×D4311yescharacteristic
1442C2×D4—22no—
1443C2×D4—22no—
1444C2×D4—21no—
1445C2×D4—21no—
1446C2×D4—21no—
1447C2×D4—21no—
1448C2×D4—21no—
1449C2×D4—21no—
1450C2×D4—21no—
1451C2×D4—21no—
1452C2×D4—41no—
1453C2×D4—41no—
1454C2×D4—44no—
1455C2×D4—431no—
1456C2×D4—431no—
1457C2×D4—431no—
1458C2×D4—431no—
1459C2×D4—861no—
1460C2×D4—861no—
1461C2×D4—861no—
1462C2×D4—861no—
1463C2×D4—861no—
1464C2×D4—861no—
1465C2×D4—861no—
1466C2×D4—861no—
1467C2×D4—862no—
1468C2×D4—861no—
1469C2×D4—861no—
1470C2×D4—861no—
1471C2×D4—861no—
1472C2×D4—861no—
1473C2×D4—861no—
1474C2×D4—861no—
1475C2×D4—1721no—
1476C2×D4—1724no—
1477C2×D4—1724no—
1478C2×D4D4×D4311yescharacteristic
1479C2×D4C23×D4311yescharacteristic
1480C2×D4C23×D4311yescharacteristic
1481C2×D4C23×D4311yescharacteristic
1482C2×D4C23×D4311yescharacteristic
1483C22×C4—21no—
1484C22×C4—21no—
1485C22×C4—21no—
1486C22×C4—431no—
1487C22×C4—431no—
1488C22×C4—431no—
1489C22×C4—431no—
1490C22×C4—431no—
1491C22×C4—431no—
1492C22×C4—431no—
1493C22×C4—861no—
1494C22×C4—861no—
1495C22×C4—861no—
1496C22×C4—861no—
1497C22×C4—861no—
1498C22×C4—861no—
1499C22×C4—861no—
1500C22×C4—861no—
1501C22×C4—861no—
1502C22×C4—861no—
1503C22×C4—861no—
1504C22×C4—861no—
1505C22×C4—861no—
1506C22×C4—861no—
1507C22×C4—861no—
1508C22×C4—861no—
1509C22×C4—861no—
1510C22×C4—861no—
1511C22×C4—1724no—
1512C22×C4—1724no—
1513C22×C4—1724no—
1514C22×C4C23×D4311yescharacteristic
1515C22×C4C23×D4311yescharacteristic
1516SD16—22no—
1517SD16—22no—
1518SD16—41no—
1519SD16—41no—
1520SD16—41no—
1521SD16—41no—
1522SD16—862no—
1523SD16—862no—
1524SD16—1721no—
1525SD16—1721no—
1526SD16—1721no—
1527SD16—1721no—
1528SD16—1721no—
1529SD16—1721no—
1530SD16—1721no—
1531SD16—1721no—
1532D8—22no—
1533D8—41no—
1534D8—41no—
1535D8—862no—
1536D8—1721no—
1537D8—1721no—
1538D8—1721no—
1539D8—1721no—
1540M16—41no—
1541M16—1721no—
1542M16—1721no—
1543M16—1721no—
1544C2×C8—41no—
1545C2×C8—431no—
1546C2×C8—431no—
1547C2×C8—431no—
1548C2×C8—431no—
1549C2×C8—1721no—
1550C2×C8C23×D4311yescharacteristic
1551C2×C8C23×D4311yescharacteristic
1552C2×C8C23×D4311yescharacteristic
1553C2×C8C23×D4311yescharacteristic
1554C4⋊C4—21no—
1555C4⋊C4—21no—
1556C4⋊C4—431no—
1557C4⋊C4—431no—
1558C4⋊C4—431no—
1559C4⋊C4—431no—
1560C4⋊C4—431no—
1561C4⋊C4—431no—
1562C4⋊C4—431no—
1563C4⋊C4—431no—
1564C4⋊C4—431no—
1565C4⋊C4—861no—
1566C4⋊C4—861no—
1567C4⋊C4—861no—
1568C4⋊C4—861no—
1569C4⋊C4—861no—
1570C4⋊C4—861no—
1571C4⋊C4—861no—
1572C4⋊C4—861no—
1573C4⋊C4—861no—
1574C4⋊C4—861no—
1575C4⋊C4—861no—
1576C4⋊C4—861no—
1577C4⋊C4—861no—
1578C4⋊C4—861no—
1579C4⋊C4—861no—
1580C4⋊C4—861no—
1581C4⋊C4—861no—
1582C4⋊C4—861no—
1583C4⋊C4—861no—
1584C4⋊C4—861no—
1585C4⋊C4—861no—
1586C4⋊C4D4×D4311yescharacteristic
1587C4⋊C4C23×D4311yescharacteristic
1588C4⋊C4C23×D4311yescharacteristic
1589C22⋊C4—21no—
1590C22⋊C4—21no—
1591C22⋊C4—21no—
1592C22⋊C4—21no—
1593C22⋊C4—21no—
1594C22⋊C4—21no—
1595C22⋊C4—21no—
1596C22⋊C4—431no—
1597C22⋊C4—431no—
1598C22⋊C4—431no—
1599C22⋊C4—431no—
1600C22⋊C4—861no—
1601C22⋊C4—861no—
1602C22⋊C4—861no—
1603C22⋊C4—861no—
1604C22⋊C4—861no—
1605C22⋊C4—861no—
1606C22⋊C4—861no—
1607C22⋊C4—861no—
1608C22⋊C4—861no—
1609C22⋊C4—861no—
1610C22⋊C4—861no—
1611C22⋊C4—861no—
1612C22⋊C4—861no—
1613C22⋊C4—861no—
1614C22⋊C4—861no—
1615C22⋊C4—861no—
1616C22⋊C4—861no—
1617C22⋊C4—861no—
1618C22⋊C4—861no—
1619C22⋊C4—861no—
1620C22⋊C4—861no—
1621C22⋊C4—861no—
1622C22⋊C4—861no—
1623C22⋊C4—861no—
1624C22⋊C4—861no—
1625C22⋊C4D4×D4311yescharacteristic
1626C22⋊C4D4×D4311yescharacteristic
1627C42—21no—
1628C42—431no—
1629C42—431no—
1630C42—431no—
1631C42—431no—
1632C42—431no—
1633C42—431no—
1634C42—431no—
1635C42—431no—
1636C42—431no—
1637C42—861no—
1638C42—861no—
1639C42—861no—
1640C42C23×D4311yescharacteristic
1641C23—21no—
1642C23—21no—
1643C23—21no—
1644C23—21no—
1645C23—42no—
1646C23—42no—
1647C23—42no—
1648C23—42no—
1649C23—81no—
1650C23—81no—
1651C23—431no—
1652C23—861no—
1653C23—861no—
1654C23—3441no—
1655C23—1722no—
1656C23—1722no—
1657C23C2×D4×D4311yescharacteristic
1658C23C2×D4×D4311yescharacteristic
1659Q8—21no—
1660Q8—21no—
1661Q8—21no—
1662Q8—21no—
1663Q8—81no—
1664Q8—862no—
1665Q8—861no—
1666Q8—861no—
1667Q8—861no—
1668Q8—861no—
1669Q8—3441no—
1670Q8—1722no—
1671Q8—1722no—
1672Q8—1722no—
1673Q8—1722no—
1674D4—22no—
1675D4—21no—
1676D4—21no—
1677D4—21no—
1678D4—21no—
1679D4—21no—
1680D4—21no—
1681D4—21no—
1682D4—42no—
1683D4—42no—
1684D4—42no—
1685D4—42no—
1686D4—42no—
1687D4—42no—
1688D4—81no—
1689D4—81no—
1690D4—862no—
1691D4—862no—
1692D4—861no—
1693D4—861no—
1694D4—861no—
1695D4—861no—
1696D4—3441no—
1697D4—3441no—
1698D4—3441no—
1699D4—3441no—
1700D4—3441no—
1701D4—1722no—
1702D4—1722no—
1703D4—1722no—
1704D4—1722no—
1705D4—1722no—
1706D4—1722no—
1707D4—1722no—
1708D4—1722no—
1709D4—1722no—
1710D4—1722no—
1711D4#1306337012yes—
1712C2×C4—21no—
1713C2×C4—21no—
1714C2×C4—21no—
1715C2×C4—21no—
1716C2×C4—21no—
1717C2×C4—21no—
1718C2×C4—21no—
1719C2×C4—21no—
1720C2×C4—42no—
1721C2×C4—81no—
1722C2×C4—81no—
1723C2×C4—434no—
1724C2×C4—431no—
1725C2×C4—431no—
1726C2×C4—431no—
1727C2×C4—431no—
1728C2×C4—431no—
1729C2×C4—431no—
1730C2×C4—431no—
1731C2×C4—862no—
1732C2×C4—862no—
1733C2×C4—861no—
1734C2×C4—861no—
1735C2×C4—861no—
1736C2×C4—861no—
1737C2×C4—861no—
1738C2×C4—861no—
1739C2×C4—861no—
1740C2×C4—861no—
1741C2×C4—3441no—
1742C2×C4—3441no—
1743C2×C4—3441no—
1744C2×C4—3441no—
1745C2×C4—1721no—
1746C2×C4—1722no—
1747C2×C4—1722no—
1748C2×C4—1722no—
1749C2×C4—1722no—
1750C2×C4—1722no—
1751C2×C4—1722no—
1752C2×C4—1722no—
1753C2×C4—1722no—
1754C2×C4—1722no—
1755C2×C4—1722no—
1756C2×C4—1721no—
1757C2×C4—1721no—
1758C2×C4—1722no—
1759C2×C4—1722no—
1760C2×C4—1722no—
1761C2×C4—1722no—
1762C2×C4C2×D4×D4311yescharacteristic
1763C2×C4C2×D4×D4311yescharacteristic
1764C2×C4C2×D4×D4311yescharacteristic
1765C2×C4C2×D4×D4311yescharacteristic
1766C2×C4C24×D4311yescharacteristic
1767C8—21no—
1768C8—21no—
1769C8—21no—
1770C8—21no—
1771C8—861no—
1772C8—861no—
1773C8—861no—
1774C8—861no—
1775C22—21no—
1776C22—21no—
1777C22—21no—
1778C22—21no—
1779C22—21no—
1780C22—22no—
1781C22—41no—
1782C22—41no—
1783C22—41no—
1784C22—41no—
1785C22—41no—
1786C22—41no—
1787C22—41no—
1788C22—41no—
1789C22—41no—
1790C22—41no—
1791C22—41no—
1792C22—84no—
1793C22—84no—
1794C22—861no—
1795C22—861no—
1796C22—861no—
1797C22—3444no—
1798C22—1721no—
1799C22—1721no—
1800C22—1721no—
1801C22—1721no—
1802C22—1721no—
1803C22—1721no—
1804C22AGL(1,ℤ/8)×D4312yes—
1805C22C22×D4×D4311yescharacteristic
1806C4—21no—
1807C4—21no—
1808C4—21no—
1809C4—21no—
1810C4—41no—
1811C4—41no—
1812C4—41no—
1813C4—41no—
1814C4—432no—
1815C4—432no—
1816C4—861no—
1817C4—861no—
1818C4—861no—
1819C4—861no—
1820C4—861no—
1821C4—1721no—
1822C4—1721no—
1823C4—1721no—
1824C4—1721no—
1825C4—1721no—
1826C4—1721no—
1827C4C2×#1306337011yescharacteristic
1828C4#1458373411yescharacteristic
1829C2—22no—
1830C2—41no—
1831C2—42no—
1832C2—81no—
1833C2—81no—
1834C2—81no—
1835C2—3441no—
1836C2—3441no—
1837C2—1721no—
1838C2#1914825511yescharacteristic
1839C2C2×AGL(1,ℤ/8)×D4311yescharacteristic
1840C2#1914937711yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3265C2
socleC22×C43C23×D4
hypercenter#3265D43
hypocenterC43#61962
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3265

Complements

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

NH ≅ G/Ntype
1. #19148501C2semidirect
2. D4×#10621900C2semidirect
3. #19147612C2semidirect
4. #19147610C2semidirect
5. #19147314C2semidirect
6. #19147308C2semidirect
7. #19146895C2semidirect
8. #19146893C2semidirect
9. #19146592C2semidirect
10. #19146590C2semidirect
11. #19146588C2semidirect
12. #19146586C2semidirect
13. #19146193C2semidirect
14. #19146189C2semidirect
15. #19146094C2semidirect
16. #19146090C2semidirect
17. #19146086C2semidirect
18. #19145980C2semidirect
19. #19145977C2semidirect
20. #19145901C2semidirect
21. #19145587C2semidirect
22. #19145585C2semidirect
23. #19145518C2semidirect
24. #19144692C2semidirect
25. #19144689C2semidirect
26. #19144590C2semidirect
27. #19144057C2semidirect
28. #19144056C2semidirect
29. C2×#14583102C2semidirect
30. #19143707C2semidirect
31. C43×#3265C2semidirect
37. #14583621C22semidirect
38. #14583618C22semidirect
45. #14583560C22semidirect
46. #14583558C22semidirect
48. #14583555C22semidirect
50. #14583551C22semidirect
53. #14583548C22semidirect
62. #14583453C22semidirect
63. #14583451C22semidirect
64. #14583448C22semidirect
66. #14583445C22semidirect
69. #14583444C22semidirect
70. C2×#13063323C22semidirect
79. #14583287C22semidirect
80. #14583286C22semidirect
81. #14583285C22semidirect
82. #14583270C22semidirect
83. #14583270C22semidirect
84. #14583260C22semidirect
85. #14583259C22semidirect
86. #14583258C22semidirect
87. #14583257C22semidirect
88. #14583248C22semidirect
89. #14583248C22semidirect
90. #14583236C22semidirect
91. #14583235C22semidirect
92. #14583233C22semidirect
93. #14583232C22semidirect
94. #14583213C22semidirect
95. #14583210C22semidirect
96. #14583195C22semidirect
97. #14583194C22semidirect
98. #14583193C22semidirect
99. #14583192C22semidirect
100. #14583178C22semidirect
101. #14583178C22semidirect
103. #14583177C22semidirect
104. #14583177C22semidirect
105. #14583177C22semidirect
106. #14583147C22semidirect
107. #14583145C22semidirect
108. #14583144C22semidirect
109. #14583144C22semidirect
110. #14583143C22semidirect
111. #14583142C22semidirect
112. #14583142C22semidirect
113. #14583135C22semidirect
114. #14583133C22semidirect
115. #14583133C22semidirect
117. #14583116C22semidirect
118. #14583115C22semidirect
121. #14583112C22semidirect
122. #14583111C22semidirect
123. #14583103C22semidirect
124. #14583103C22semidirect
129. #14583102C22semidirect
130. #14583102C22semidirect
131. #14583102C22semidirect
132. #14583102C22semidirect
133. #14583102C22semidirect
134. #14583102C22semidirect
135. #14583098C22semidirect
136. #14583097C22semidirect
137. #14583096C22semidirect
138. #14583093C22semidirect
139. #14583093C22semidirect
141. #14583092C22semidirect
142. #14583092C22semidirect
143. #14583092C22semidirect
147. #14583046C22semidirect
148. #14583044C22semidirect
149. #14583043C22semidirect
150. #14583043C22semidirect
151. #14583042C22semidirect
152. #14583041C22semidirect
153. #14583041C22semidirect
154. #14583040C22semidirect
155. #14583038C22semidirect
156. #14583037C22semidirect
158. #14583028C22semidirect
159. #14583027C22semidirect
160. #14583001C22semidirect
162. #14583000C22semidirect
164. #14582997C22semidirect
166. #14582996C22semidirect
168. D8×Dic43C22semidirect
170. #14582979C22semidirect
171. #14582975C22semidirect
172. #14582974C22semidirect
173. #14582971C22semidirect
174. #14582970C22semidirect
175. #14582967C22semidirect
176. #14582954C22semidirect
177. #14582953C22semidirect
178. #14582949C22semidirect
179. #14582922C22semidirect
180. #14582921C22semidirect
181. C2×Dic43⋊C8C22semidirect
182. #14582901C22semidirect
183. #14582900C22semidirect
184. #14582899C22semidirect
185. #14582897C22semidirect
186. C2×#13063250C22semidirect
187. C2×#13063249C22semidirect
190. C43×#548C22semidirect
192. C43×#496C22semidirect
193. C43×#468C22semidirect
194. C43×#466C22semidirect
196. C43×#460C22semidirect
198. C43×#449C22semidirect
199. C43×#448C22semidirect
202. C43×#435C22semidirect
813. C2×Dic43AGL(1,ℤ/8)semidirect
926. #3265D43semidirect
971. #548C2×D43semidirect
1006. #496C2×D43semidirect
1038. #468C2×D43semidirect
1042. #466C2×D43semidirect
1066. #460C2×D43semidirect
1084. #449C2×D43semidirect
1088. #448C2×D43semidirect
1110. #435C2×D43semidirect
1123. C43#61962semidirect

Maximal subgroups

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

subgroupindex
#191485012
D4×#106219002
#191476122
#191476102
#191473142
#191473082
#191468952
#191468932
#191465922
#191465902
#191465882
#191465862
#191461932
#191461892
#191460942
#191460902
#191460862
#191459802
#191459772
#191459012
#191455872
#191455852
#191455182
#191446922
#191446892
#191445902
#191440572
#191440562
C2×#145831022
#191437072
C43×#32652
#6196243