Finite Group Databasebeta

← #25990376

Subgroups — #25990376

Order 11008.

1850 conjugacy classes of subgroups.

The subgroup lattice has 1788 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19148955C211yesmaximal, characteristic, complemented
2#19148699C211yesmaximal, characteristic, complemented
3#19147655C211yesmaximal, characteristic, complemented
4#19147439C211yesmaximal, characteristic, complemented
5#19147320C211yesmaximal, characteristic, complemented
6#19146756C211yesmaximal, characteristic, complemented
7#19146743C211yesmaximal, characteristic, complemented
8#19146728C211yesmaximal, characteristic, complemented
9#19146576C211yesmaximal, characteristic, complemented
10#19146548C211yesmaximal, characteristic, complemented
11#19146435C211yesmaximal, characteristic, complemented
12#19146353C211yesmaximal, characteristic, complemented
13#19146308C211yesmaximal, characteristic, complemented
14#19146179C211yesmaximal, characteristic, complemented
15#19146156C211yesmaximal, characteristic, complemented
16#19146141C211yesmaximal, characteristic, complemented
17#19146089C211yesmaximal, characteristic, complemented
18#19146053C211yesmaximal, characteristic, complemented
19#19146002C211yesmaximal, characteristic, complemented
20#19145918C211yesmaximal, characteristic, complemented
21#19145684C211yesmaximal, characteristic, complemented
22#19145638C211yesmaximal, characteristic, complemented
23#19145627C211yesmaximal, characteristic, complemented
24#19144876C211yesmaximal, characteristic, complemented
25#19144820C211yesmaximal, characteristic, complemented
26#19144742C211yesmaximal, characteristic, complemented
27#19144129C211yesmaximal, characteristic, complemented
28#19144111C211yesmaximal, characteristic, complemented
29#19144043C211yesmaximal, characteristic, complemented
30#19143733C211yesmaximal, characteristic, complemented
31C43×#3399C211yesmaximal, characteristic, complemented
32C2×#13063354C2211yescharacteristic, complemented
33C2×#13063349C2211yescharacteristic
34C2×#13063344C2211yescharacteristic, complemented
35C2×#13063344C2211yescharacteristic, complemented
36C2×#13063344C2211yescharacteristic, complemented
37C2×SD16×D43C2211yescharacteristic
38#14583637—21no—
39#14583637—21no—
40#14583633—21no—
41#14583627C2211yescharacteristic, complemented
42#14583622C2211yescharacteristic
43#14583614C2211yescharacteristic, complemented
44#14583611—21no—
45#14583601—21no—
46#14583599C2211yescharacteristic
47#14583598—21no—
48#14583590C2211yescharacteristic, complemented
49#14583586—21no—
50#14583569C2211yescharacteristic
51#14583569C2211yescharacteristic
52#14583569C2211yescharacteristic, complemented
53#14583557C2211yescharacteristic
54#14583557C2211yescharacteristic, complemented
55#14583553C2211yescharacteristic
56#14583544C2211yescharacteristic
57#14583544C2211yescharacteristic
58#14583537—21no—
59#14583534C2211yescharacteristic
60#14583518C2211yescharacteristic, complemented
61#14583514C2211yescharacteristic
62#14583514C2211yescharacteristic
63#14583513—21no—
64#14583503C2211yescharacteristic, complemented
65#14583501—21no—
66#14583486—21no—
67#14583486—21no—
68#14583477—21no—
69#14583465—21no—
70#14583462C2211yescharacteristic
71#14583462C2211yescharacteristic
72#14583447C2211yescharacteristic
73#14583446C2211yescharacteristic
74#14583436C2211yescharacteristic
75#14583429—21no—
76#14583428C2211yescharacteristic, complemented
77#14583426—21no—
78#14583378C2211yescharacteristic, complemented
79#14583375C2211yescharacteristic, complemented
80C4×#10621900C2211yescharacteristic, complemented
81#14583294C2211yescharacteristic, complemented
82#14583286C2211yescharacteristic
83#14583281C2211yescharacteristic
84#14583268C2211yescharacteristic, complemented
85#14583263C2211yescharacteristic
86#14583263C2211yescharacteristic, complemented
87#14583259C2211yescharacteristic
88#14583254C2211yescharacteristic
89#14583245C2211yescharacteristic, complemented
90#14583243C2211yescharacteristic, complemented
91#14583231C2211yescharacteristic, complemented
92#14583225C2211yescharacteristic
93#14583221C2211yescharacteristic
94#14583221C2211yescharacteristic, complemented
95#14583216C2211yescharacteristic
96#14583207C2211yescharacteristic, complemented
97#14583200C2211yescharacteristic
98#14583199C2211yescharacteristic, complemented
99#14583199C2211yescharacteristic, complemented
100#14583195C2211yescharacteristic, complemented
101#14583192C2211yescharacteristic, complemented
102#14583187C2211yescharacteristic, complemented
103#14583183C2211yescharacteristic, complemented
104#14583179C2211yescharacteristic, complemented
105#14583177C2211yescharacteristic, complemented
106#14583149C2211yescharacteristic
107#14583144C2211yescharacteristic, complemented
108#14583144C2211yescharacteristic, complemented
109#14583142C2211yescharacteristic
110#14583139C2211yescharacteristic, complemented
111#14583134C2211yescharacteristic
112#14583132C2211yescharacteristic
113#14583132C2211yescharacteristic
114#14583132C2211yescharacteristic, complemented
115#14583131C2211yescharacteristic
116#14583127C2211yescharacteristic, complemented
117#14583125C2211yescharacteristic, complemented
118#14583122C2211yescharacteristic
119#14583122C2211yescharacteristic
120#14583121C2211yescharacteristic
121#14583120C2211yescharacteristic, complemented
122#14583120C2211yescharacteristic, complemented
123#14583119C2211yescharacteristic, complemented
124#14583119C2211yescharacteristic, complemented
125#14583118C2211yescharacteristic, complemented
126#14583114C2211yescharacteristic
127#14583112C2211yescharacteristic, complemented
128#14583112C2211yescharacteristic, complemented
129#14583112C2211yescharacteristic, complemented
130#14583112C2211yescharacteristic, complemented
131#14583111C2211yescharacteristic
132#14583110C2211yescharacteristic, complemented
133#14583104C2211yescharacteristic, complemented
134#14583098C2211yescharacteristic
135#14583097C2211yescharacteristic
136#14583096C2211yescharacteristic
137#14583096C2211yescharacteristic, complemented
138#14583096C2211yescharacteristic, complemented
139#14583096C2211yescharacteristic, complemented
140#14583092C2211yescharacteristic
141#14583092C2211yescharacteristic
142#14583062C2211yescharacteristic, complemented
143#14583058C2211yescharacteristic, complemented
144#14583058C2211yescharacteristic, complemented
145#14583058C2211yescharacteristic, complemented
146#14583056C2211yescharacteristic, complemented
147#14583048C2211yescharacteristic
148#14583045C2211yescharacteristic
149#14583041C2211yescharacteristic
150#14583041C2211yescharacteristic, complemented
151#14583041C2211yescharacteristic, complemented
152#14583041C2211yescharacteristic, complemented
153#14583041C2211yescharacteristic, complemented
154#14583041C2211yescharacteristic, complemented
155#14583041C2211yescharacteristic, complemented
156#14583036C2211yescharacteristic
157#14583031C2211yescharacteristic
158#14583031C2211yescharacteristic
159#14583031C2211yescharacteristic
160#14583030C2211yescharacteristic, complemented
161#14583009C2211yescharacteristic
162#14583007C2211yescharacteristic, complemented
163#14583004C2211yescharacteristic, complemented
164#14583001C2211yescharacteristic
165#14582999C2211yescharacteristic, complemented
166#14582999C2211yescharacteristic, complemented
167C4×Dic172C2211yescharacteristic, complemented
168C4×#10621883C2211yescharacteristic, complemented
169C4×#10621883C2211yescharacteristic, complemented
170#14582972C2211yescharacteristic
171#14582972C2211yescharacteristic, complemented
172#14582969C2211yescharacteristic
173#14582969C2211yescharacteristic, complemented
174C8×D172C2211yescharacteristic, complemented
175#14582964C2211yescharacteristic, complemented
176#14582961C2211yescharacteristic, complemented
177#14582958C2211yescharacteristic, complemented
178#14582954C2211yescharacteristic, complemented
179#14582924C2211yescharacteristic, complemented
180#14582924C2211yescharacteristic, complemented
181C4⋊C8×D43C2211yescharacteristic, complemented
182#14582902C2211yescharacteristic
183#14582897C2211yescharacteristic, complemented
184#14582892C2211yescharacteristic, complemented
185#14582892C2211yescharacteristic, complemented
186#14582892C2211yescharacteristic, complemented
187#102×D43C2211yescharacteristic
188C43×#559C2211yescharacteristic, complemented
189C43×#550C2211yescharacteristic
190C43×#496C2211yescharacteristic
191C43×#496C2211yescharacteristic, complemented
192C43×#493C2211yescharacteristic, complemented
193C43×#463C2211yescharacteristic, complemented
194C43×#463C2211yescharacteristic, complemented
195C43×#460C2211yescharacteristic, complemented
196C43×#459C2211yescharacteristic
197C43×#459C2211yescharacteristic, complemented
198C43×#459C2211yescharacteristic, complemented
199C43×#446C2211yescharacteristic, complemented
200C43×#442C2211yescharacteristic, complemented
201C43×#442C2211yescharacteristic, complemented
202C4×SD16×C43C2211yescharacteristic, complemented
203C2×#10621898—21no—
204C2×#10621900C2311yescharacteristic
205C2×#10621900C2311yescharacteristic
206C2×#10621900C2311yescharacteristic
207C2×#10621900C2311yescharacteristic
208C2×#10621900C2311yescharacteristic
209C2×#10621900C2311yescharacteristic
210C2×Q8×D43C2311yescharacteristic
211C2×D4×D43—21no—
212C2×D4×D43C2311yescharacteristic
213C2×D4×D43C2311yescharacteristic
214#13063354—42no—
215#13063349—42no—
216#13063344—42no—
217#13063344—42no—
218#13063344—42no—
219C2×Dic172C2311yescharacteristic
220C2×Dic172C2311yescharacteristic
221C2×#10621885C2311yescharacteristic
222C2×#10621885C2311yescharacteristic
223C2×#10621873C2311yescharacteristic
224C2×#10621883C2311yescharacteristic
225C2×#10621883C2311yescharacteristic
226C2×#10621883C2311yescharacteristic
227C2×#10621883C2311yescharacteristic
228C2×#10621883C2311yescharacteristic
229C2×#10621883C2311yescharacteristic
230C2×#10621883C2311yescharacteristic
231C2×#10621884C2311yescharacteristic
232SD16×D43—42no—
233C2×#10621882C2311yescharacteristic
234C2×#10621882C2311yescharacteristic
235C2×#10621872C2311yescharacteristic
236C2×#10621872C2311yescharacteristic
237C2×C8×D43C2311yescharacteristic
238C2×C8×D43C2311yescharacteristic
239C2×C8×D43C2311yescharacteristic
240C2×C8×D43C2311yescharacteristic
241#13063325C2311yescharacteristic
242#13063325C2311yescharacteristic
243#13063324C2311yescharacteristic
244#13063323—21no—
245#13063321—21no—
246#13063321—21no—
247#13063321—21no—
248#13063321C2311yescharacteristic
249#13063320—21no—
250#13063320—21no—
251#13063320D411yescharacteristic
252#13063320D411yescharacteristic
253#13063319—21no—
254#13063318—21no—
255#13063318—21no—
256#13063318—21no—
257#13063318—21no—
258#13063318—21no—
259#13063317C2311yescharacteristic
260#13063317C2311yescharacteristic
261#13063316D411yescharacteristic
262#13063315—21no—
263#13063315—21no—
264#13063315—21no—
265#13063314D411yescharacteristic
266#13063313C2311yescharacteristic
267#13063313C2311yescharacteristic
268#13063312C2311yescharacteristic
269#13063312C2311yescharacteristic
270#13063311—21no—
271#13063311—21no—
272#13063311—21no—
273#13063311—21no—
274#13063311—21no—
275#13063311—21no—
276#13063311—21no—
277#13063311—21no—
278#13063310—21no—
279#13063310D411yescharacteristic
280#13063310D411yescharacteristic
281#13063309—21no—
282#13063309—21no—
283#13063309—21no—
284#13063309—21no—
285#13063309—21no—
286#13063308—21no—
287#13063308—21no—
288#13063308—21no—
289#13063307—21no—
290#13063306—21no—
291#13063306—21no—
292#13063305C2311yescharacteristic
293#13063305C2311yescharacteristic
294#13063304—21no—
295#13063304—21no—
296#13063302—21no—
297#13063302—21no—
298#13063302—21no—
299#13063301—21no—
300#13063301D411yescharacteristic
301#13063301C2311yescharacteristic
302#13063301C2311yescharacteristic
303#13063300D411yescharacteristic
304#13063300C2311yescharacteristic
305#13063299—21no—
306#13063299—21no—
307#13063299—21no—
308#13063299—21no—
309#13063298—21no—
310#13063298—21no—
311#13063298—21no—
312#13063298—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#13063297—21no—
322#13063297—21no—
323#13063297—21no—
324#13063297—21no—
325#13063296—21no—
326#13063296—21no—
327#13063296—21no—
328#13063296C2311yescharacteristic
329#13063296C2311yescharacteristic
330#13063296C2311yescharacteristic
331#13063296C2311yescharacteristic
332#13063296C2311yescharacteristic
333#13063296C2311yescharacteristic
334#13063296C2311yescharacteristic
335#13063295—21no—
336#13063295—21no—
337#13063293—21no—
338#13063293—21no—
339#13063293—21no—
340#13063293—21no—
341#13063293—21no—
342#13063293—21no—
343Q8×Dic43C2311yescharacteristic
344C4×Dic86—21no—
345C4×Dic86C2311yescharacteristic
346C4×Dic86C2311yescharacteristic
347C4×Dic86C2311yescharacteristic
348C4×Dic86C2311yescharacteristic
349C4×Dic86C2311yescharacteristic
350#13063290—21no—
351#13063290—21no—
352#13063290C2311yescharacteristic
353C4×D172C2311yescharacteristic
354C4×D172C2311yescharacteristic
355C4×D172C2311yescharacteristic
356C4×D172C2311yescharacteristic
357D4×Dic43—21no—
358D4×Dic43—21no—
359D4×Dic43—21no—
360D4×Dic43—21no—
361D4×Dic43—21no—
362D4×Dic43C2311yescharacteristic
363D4×Dic43C2311yescharacteristic
364C4×C22⋊D43—21no—
365C4×C22⋊D43—21no—
366C4×C22⋊D43—21no—
367C4×C22⋊D43—21no—
368(C22⋊D43)⋊C4—21no—
369(C22⋊D43)⋊C4—21no—
370(C22⋊D43)⋊C4—21no—
371(C22⋊D43)⋊C4—21no—
372(C22⋊D43)⋊C4—21no—
373#13063284—21no—
374#13063283—21no—
375#13063283—21no—
376#13063283C2311yescharacteristic
377#13063283C2311yescharacteristic
378#13063282—21no—
379#13063282—21no—
380#13063282C2311yescharacteristic
381#13063282C2311yescharacteristic
382#13063281—21no—
383#13063281—21no—
384#13063281—21no—
385C2×C4⋊Dic43—21no—
386C2×Dic43⋊C4—21no—
387C4⋊C4×D43C2311yescharacteristic
388C2×(C2×D43)⋊C4—21no—
389C2×(C2×D43)⋊C4—21no—
390C2×C4×Dic43—21no—
391C42×D43C2311yescharacteristic
392#13063259C2311yescharacteristic
393#13063259C2311yescharacteristic
394#13063258C2311yescharacteristic
395#13063258C2311yescharacteristic
396#13063257C2311yescharacteristic
397#13063256C2311yescharacteristic
398#13063256C2311yescharacteristic
399C4⋊(C43⋊C8)C2311yescharacteristic
400C4⋊(C43⋊C8)C2311yescharacteristic
401C4⋊(C43⋊C8)C2311yescharacteristic
402Dic43⋊C8C2311yescharacteristic
403Dic43⋊C8C2311yescharacteristic
404Dic43⋊C8C2311yescharacteristic
405Dic43⋊C8C2311yescharacteristic
406#13063250C2311yescharacteristic
407#13063250C2311yescharacteristic
408#13063250C2311yescharacteristic
409#13063250C2311yescharacteristic
410#13063250C2311yescharacteristic
411#13063250C2311yescharacteristic
412#13063250C2311yescharacteristic
413#13063249C2311yescharacteristic
414#13063248C2311yescharacteristic
415#13063248C2311yescharacteristic
416#13063248C2311yescharacteristic
417#13063247C2311yescharacteristic
418#13063247C2311yescharacteristic
419#13063247C2311yescharacteristic
420#13063246C2311yescharacteristic
421#13063246C2311yescharacteristic
422#13063246C2311yescharacteristic
423#13063246C2311yescharacteristic
424#13063246C2311yescharacteristic
425#13063246C2311yescharacteristic
426#13063246C2311yescharacteristic
427#13063246C2311yescharacteristic
428#13063246C2311yescharacteristic
429#13063246C2311yescharacteristic
430#13063246C2311yescharacteristic
431#13063245C2311yescharacteristic
432(C2×D43)⋊C8C2311yescharacteristic
433(C2×D43)⋊C8C2311yescharacteristic
434(C2×D43)⋊C8C2311yescharacteristic
435(C2×D43)⋊C8C2311yescharacteristic
436(C2×D43)⋊C8C2311yescharacteristic
437(C2×D43)⋊C8C2311yescharacteristic
438#13063236C2311yescharacteristic
439#13063236C2311yescharacteristic
440C4×C43⋊C8C2311yescharacteristic
441C2×#41×C43—21no—
442C2×SD16×C43C2311yescharacteristic
443C2×SD16×C43C2311yescharacteristic
444C2×SD16×C43C2311yescharacteristic
445C2×D8×C43C2311yescharacteristic
446C2×D8×C43C2311yescharacteristic
447C2×D8×C43C2311yescharacteristic
448C2×D8×C43C2311yescharacteristic
449C2×D8×C43C2311yescharacteristic
450C2×D8×C43C2311yescharacteristic
451#127×C43C2311yescharacteristic
452#127×C43C2311yescharacteristic
453#127×C43C2311yescharacteristic
454#127×C43C2311yescharacteristic
455#124×C43—21no—
456#124×C43C2311yescharacteristic
457#124×C43C2311yescharacteristic
458#123×C43—21no—
459#123×C43—21no—
460#121×C43—21no—
461#121×C43—21no—
462#121×C43—21no—
463C4×Q8×C43C2311yescharacteristic
464C4×Q8×C43C2311yescharacteristic
465C4×D4×C43—21no—
466C4×D4×C43C2311yescharacteristic
467C4×D4×C43C2311yescharacteristic
468C4×D4×C43C2311yescharacteristic
469C4×D4×C43C2311yescharacteristic
470C4×D4×C43C2311yescharacteristic
471#106×C43C2311yescharacteristic
472C4⋊C8×C43C2311yescharacteristic
473C4⋊C8×C43C2311yescharacteristic
474C4⋊C8×C43C2311yescharacteristic
475#103×C43C2311yescharacteristic
476#102×C43C2311yescharacteristic
477#102×C43C2311yescharacteristic
478#102×C43C2311yescharacteristic
479#102×C43C2311yescharacteristic
480#102×C43C2311yescharacteristic
481#97×C43C2311yescharacteristic
482#97×C43C2311yescharacteristic
483C4×C8×C43C2311yescharacteristic
484C23×D43—21no—
485C23×D43—21no—
486#41×C43—82no—
487C2×Q8×C43C2×D411yescharacteristic
488C2×Q8×C43C2411yescharacteristic
489C2×D4×C43—21no—
490C2×D4×C43—21no—
491C2×D4×C43—21no—
492C2×D4×C43—21no—
493C2×D4×C43—21no—
494C2×D4×C43—21no—
495C2×D4×C43—21no—
496C2×D4×C43—21no—
497C2×D4×C43C2411yescharacteristic
498C2×D4×C43C2411yescharacteristic
499C2×D4×C43C2411yescharacteristic
500C2×D4×C43C2411yescharacteristic
501C2×D4×C43C2411yescharacteristic
502C22×C4×C43—21no—
503C22×C4×C43—21no—
504C22×C4×C43—21no—
505C22×C4×C43—21no—
506C22×C4×C43—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—21no—
515C2×C22⋊D43—21no—
516C2×C22⋊D43—21no—
517C2×C22⋊D43—21no—
518C2×C22⋊D43—21no—
519C2×C22⋊D43—21no—
520C2×C22⋊D43—21no—
521C2×C22⋊D43—21no—
522C2×C22⋊D43—21no—
523C2×C22⋊D43—21no—
524C22×Dic43—21no—
525C22×Dic43—21no—
526C22×Dic43—21no—
527C22×Dic43—21no—
528C22×Dic43—21no—
529C22×Dic43—21no—
530C22×Dic43—21no—
531C22×Dic43—21no—
532Q8×D43—22no—
533Q8×D43—41no—
534#10621900—22no—
535#10621900—22no—
536#10621900—41no—
537#10621900—41no—
538#10621900—41no—
539#10621900—41no—
540#10621900—41no—
541#10621900—41no—
542#10621900—41no—
543#10621900—41no—
544#10621900—41no—
545#10621900—41no—
546D4×D43—41no—
547D4×D43—41no—
548D4×D43—41no—
549D4×D43—41no—
550D4×D43—82no—
551#10621898—82no—
552C2×D172—21no—
553C2×D172C2×D411yescharacteristic
554C2×D172C2×D411yescharacteristic
555C2×D172C2×D411yescharacteristic
556C2×D172C2411yescharacteristic
557C2×C4×D43—21no—
558C2×C4×D43—21no—
559C2×C4×D43—21no—
560C2×C4×D43C2×D411yescharacteristic
561C2×C4×D43C2×D411yescharacteristic
562C2×C4×D43C2411yescharacteristic
563C2×C4×D43C2411yescharacteristic
564C2×C4×D43C2411yescharacteristic
565C2×Dic86—21no—
566C2×Dic86—21no—
567C2×Dic86—21no—
568C2×Dic86C2411yescharacteristic
569C2×Dic86C2411yescharacteristic
570C2×Dic86C2411yescharacteristic
571SD16×C43—41no—
572SD16×C43—41no—
573SD16×C43—41no—
574D8×C43—41no—
575D8×C43—41no—
576D8×C43—41no—
577D8×C43—41no—
578D8×C43—41no—
579D8×C43—41no—
580C2×C8×C43C2411yescharacteristic
581C2×C8×C43C2411yescharacteristic
582C2×C8×C43C2411yescharacteristic
583C2×C8×C43C2411yescharacteristic
584C4⋊C4×C43—21no—
585C4⋊C4×C43C2×D411yescharacteristic
586C4⋊C4×C43C2×D411yescharacteristic
587C4⋊C4×C43C2×D411yescharacteristic
588C4⋊C4×C43C2411yescharacteristic
589C4⋊C4×C43C2411yescharacteristic
590C22⋊C4×C43—21no—
591C22⋊C4×C43—21no—
592C22⋊C4×C43—21no—
593C22⋊C4×C43—21no—
594C22⋊C4×C43—21no—
595C22⋊C4×C43—21no—
596C22⋊C4×C43—21no—
597C22⋊C4×C43—21no—
598C22⋊C4×C43—21no—
599C42×C43—21no—
600C42×C43C2411yescharacteristic
601C42×C43C2411yescharacteristic
602C42×C43C2411yescharacteristic
603C22⋊Dic43—21no—
604C22⋊Dic43—21no—
605C22⋊Dic43—21no—
606C22⋊Dic43—21no—
607C22⋊Dic43—21no—
608C22⋊Dic43—21no—
609C22⋊Dic43—21no—
610C22⋊Dic43—21no—
611C22⋊Dic43—21no—
612C22⋊Dic43—21no—
613C22⋊Dic43—21no—
614C22⋊Dic43—21no—
615C22⋊Dic43—21no—
616#10621885—41no—
617#10621885—41no—
618#10621884—41no—
619#10621883—22no—
620#10621883—22no—
621#10621883—22no—
622#10621883—41no—
623#10621883—41no—
624#10621883—41no—
625#10621883—41no—
626#10621882—41no—
627#10621882—41no—
628(C2×D43)⋊C4—21no—
629(C2×D43)⋊C4—21no—
630(C2×D43)⋊C4—21no—
631(C2×D43)⋊C4—21no—
632(C2×D43)⋊C4—21no—
633(C2×D43)⋊C4—21no—
634(C2×D43)⋊C4—21no—
635(C2×D43)⋊C4—21no—
636(C2×D43)⋊C4—21no—
637(C2×D43)⋊C4—21no—
638(C2×D43)⋊C4—21no—
639(C2×D43)⋊C4—21no—
640(C2×D43)⋊C4C2×D411yescharacteristic
641(C2×D43)⋊C4C2×D411yescharacteristic
642(C2×D43)⋊C4C2×D411yescharacteristic
643(C2×D43)⋊C4C2×D411yescharacteristic
644(C2×D43)⋊C4C2×D411yescharacteristic
645(C2×D43)⋊C4C2×D411yescharacteristic
646(C2×D43)⋊C4C2×D411yescharacteristic
647(C2×D43)⋊C4C2×D411yescharacteristic
648(C2×D43)⋊C4C2×D411yescharacteristic
649(C2×D43)⋊C4C2×D411yescharacteristic
650C4⋊Dic43—21no—
651C4⋊Dic43—21no—
652C4⋊Dic43—21no—
653C4⋊Dic43—21no—
654C4⋊Dic43—21no—
655C4⋊Dic43—21no—
656C4⋊Dic43C2×D411yescharacteristic
657C4⋊Dic43C2×D411yescharacteristic
658C4⋊Dic43C2×D411yescharacteristic
659C4⋊Dic43C2411yescharacteristic
660C4⋊Dic43C2411yescharacteristic
661C4⋊Dic43C2411yescharacteristic
662C4⋊Dic43C2411yescharacteristic
663Dic43⋊C4—21no—
664Dic43⋊C4—21no—
665Dic43⋊C4—21no—
666Dic43⋊C4—21no—
667Dic43⋊C4—21no—
668Dic43⋊C4—21no—
669Dic43⋊C4—21no—
670Dic43⋊C4—21no—
671Dic43⋊C4—21no—
672Dic43⋊C4—21no—
673Dic43⋊C4—21no—
674Dic43⋊C4—21no—
675Dic43⋊C4—21no—
676Dic43⋊C4—21no—
677Dic43⋊C4C2×D411yescharacteristic
678Dic43⋊C4C2×D411yescharacteristic
679Dic43⋊C4C2×D411yescharacteristic
680Dic43⋊C4C2×D411yescharacteristic
681C4×Dic43—21no—
682C4×Dic43—21no—
683C4×Dic43—21no—
684C4×Dic43—21no—
685C4×Dic43—21no—
686C4×Dic43—21no—
687C4×Dic43—21no—
688C4×Dic43—21no—
689C4×Dic43—21no—
690C4×Dic43C2×D411yescharacteristic
691C4×Dic43C2×D411yescharacteristic
692C4×Dic43C2411yescharacteristic
693C2×C43⋊C8C2411yescharacteristic
694C2×C43⋊C8C2411yescharacteristic
695C2×C43⋊C8C2411yescharacteristic
696C2×C43⋊C8C2411yescharacteristic
697Dic172—22no—
698Dic172—22no—
699#10621873—22no—
700#10621872—41no—
701#10621872—41no—
702C8×D43—41no—
703C8×D43—41no—
704C8×D43—41no—
705C8×D43—41no—
706C23×C43—21no—
707C23×C43—21no—
708C23×C43—21no—
709C23×C43—21no—
710C23×C43—21no—
711C22×D43—21no—
712C22×D43—81no—
713C22×D43—81no—
714C22×D43—81no—
715C22×D43—81no—
716C22×D43—81no—
717C22×D43—81no—
718C22×D43C22×D411yescharacteristic
719C22×D43C22×D411yescharacteristic
720C22×D43C22×D411yescharacteristic
721Q8×C43—21no—
722Q8×C43—21no—
723Q8×C43—41no—
724D4×C43—21no—
725D4×C43—21no—
726D4×C43—21no—
727D4×C43—21no—
728D4×C43—21no—
729D4×C43—21no—
730D4×C43—21no—
731D4×C43—21no—
732D4×C43—21no—
733D4×C43—21no—
734D4×C43—42no—
735D4×C43—81no—
736D4×C43—81no—
737D4×C43—81no—
738D4×C43—81no—
739D4×C43—81no—
740D4×C43—81no—
741D4×C43—81no—
742C2×C4×C43—21no—
743C2×C4×C43—21no—
744C2×C4×C43—21no—
745C2×C4×C43—42no—
746C2×C4×C43—81no—
747C2×C4×C43—81no—
748C2×C4×C43—81no—
749C2×C4×C43—81no—
750C2×C4×C43C22×D411yescharacteristic
751C2×C4×C43C22×D411yescharacteristic
752C2×C4×C43C22×D411yescharacteristic
753C2×C4×C43C22×D411yescharacteristic
754C2×C4×C43C22×D411yescharacteristic
755C2×C4×C43C22×D411yescharacteristic
756C2×C4×C43C2511yescharacteristic
757C22⋊D43—42no—
758C22⋊D43—42no—
759C22⋊D43—81no—
760C22⋊D43—81no—
761C22⋊D43—81no—
762C22⋊D43—81no—
763C22⋊D43—81no—
764C22⋊D43—81no—
765C22⋊D43—81no—
766C22⋊D43—81no—
767C22⋊D43—81no—
768C22⋊D43—81no—
769C22⋊D43—81no—
770C22⋊D43—81no—
771C22⋊D43—81no—
772C22⋊D43—81no—
773C22⋊D43—81no—
774C2×Dic43—21no—
775C2×Dic43—21no—
776C2×Dic43—21no—
777C2×Dic43—21no—
778C2×Dic43—21no—
779C2×Dic43—21no—
780C2×Dic43—21no—
781C2×Dic43—42no—
782C2×Dic43—42no—
783C2×Dic43—81no—
784C2×Dic43—81no—
785C2×Dic43—81no—
786C2×Dic43—81no—
787C2×Dic43—81no—
788C2×Dic43—81no—
789C2×Dic43C22×D411yescharacteristic
790C2×Dic43C22×D411yescharacteristic
791C2×Dic43C22×D411yescharacteristic
792C2×Dic43C22×D411yescharacteristic
793C2×Dic43C22×D411yescharacteristic
794D172—21no—
795D172—21no—
796D172—41no—
797D172—41no—
798D172—41no—
799D172—81no—
800C4×D43—21no—
801C4×D43—21no—
802C4×D43—21no—
803C4×D43—21no—
804C4×D43—21no—
805C4×D43—21no—
806C4×D43—41no—
807C4×D43—41no—
808C4×D43—42no—
809C4×D43—42no—
810C4×D43—81no—
811Dic86—21no—
812Dic86—21no—
813Dic86—21no—
814Dic86—21no—
815Dic86—21no—
816Dic86—42no—
817Dic86—81no—
818Dic86—81no—
819Dic86H(5,𝔽2)12yes—
820C8×C43—21no—
821C8×C43—21no—
822C8×C43—21no—
823C8×C43—21no—
824C43⋊C8—21no—
825C43⋊C8—21no—
826C43⋊C8—21no—
827C43⋊C8—21no—
828#62026—431nomaximal, Sylow
829C22×C43—41no—
830C22×C43—41no—
831C22×C43—41no—
832C22×C43—41no—
833C22×C43—41no—
834C22×C43—41no—
835C22×C43—41no—
836C22×C43—41no—
837C22×C43—41no—
838C22×C43—41no—
839C22×C43—41no—
840C22×C43—41no—
841C22×C43—41no—
842C22×C43—41no—
843C22×C43—41no—
844C22×C43C23×D411yescharacteristic
845C2×D43—21no—
846C2×D43—21no—
847C2×D43—21no—
848C2×D43—21no—
849C2×D43—21no—
850C2×D43—21no—
851C2×D43—21no—
852C2×D43—21no—
853C2×D43—21no—
854C2×D43—41no—
855C2×D43—41no—
856C2×D43—41no—
857C2×D43—162no—
858C2×D43—162no—
859C4×C43—21no—
860C4×C43—21no—
861C4×C43—21no—
862C4×C43—21no—
863C4×C43—21no—
864C4×C43—21no—
865C4×C43—41no—
866C4×C43—41no—
867C4×C43—41no—
868C4×C43C2×H(5,𝔽2)11yescharacteristic
869C4×C43#58511yescharacteristic
870Dic43—21no—
871Dic43—21no—
872Dic43—22no—
873Dic43—21no—
874Dic43—21no—
875Dic43—21no—
876Dic43—41no—
877Dic43—41no—
878Dic43—41no—
879Dic43—41no—
880Dic43—41no—
881Dic43—41no—
882#3546—431no—
883#3524—431no—
884#3401—431no—
885#3399D4311yescharacteristic, complemented
886#3377—431no—
887#3368—431no—
888#3319—431no—
889#3318—431no—
890#3317—431no—
891#3307—431no—
892#3305—431no—
893#3296—431no—
894#3287—431no—
895#3282—431no—
896#3271—431no—
897#3269—431no—
898#3268—431no—
899#3265—431no—
900#3262—431no—
901#3257—431no—
902#3247—431no—
903#3224—431no—
904#3220—431no—
905#3219—431no—
906#3125—431no—
907#3121—431no—
908#3115—431no—
909#3045—431no—
910#3043—431no—
911#3035—431no—
912#2992—431no—
913C2×C43—81no—
914C2×C43—81no—
915C2×C43—81no—
916C2×C43—81no—
917C2×C43—81no—
918C2×C43#348811yescharacteristic
919C2×C43#358411yescharacteristic
920C2×C43#358511yescharacteristic
921D43—41no—
922D43—41no—
923D43—41no—
924D43—81no—
925C2×#137—431no—
926C2×AGL(1,ℤ/8)—431no—
927C2×#135—431no—
928C2×#135—431no—
929C2×#135—431no—
930C22×SD16—431no—
931#560—861no—
932#560—861no—
933#559—861no—
934#559C2×D4311yescharacteristic, complemented
935#557—431no—
936#556—431no—
937#555—431no—
938#555—861no—
939#553—431no—
940#553—861no—
941#553—861no—
942#552—431no—
943#552—861no—
944#550—431no—
945#550—431no—
946#550—431no—
947#550C2×D4311yescharacteristic
948#548—431no—
949#548—431no—
950#547—431no—
951#546—431no—
952#546—431no—
953#546—861no—
954D42—431no—
955#542—431no—
956#542—431no—
957#542—431no—
958#542—861no—
959#540—431no—
960#540—861no—
961#538—861no—
962#538—861no—
963#537—861no—
964#535—431no—
965#535—431no—
966#535—861no—
967#532—431no—
968#532—431no—
969#529—431no—
970#529—431no—
971#529—861no—
972#529—861no—
973#520—431no—
974#519—431no—
975C4×#41—431no—
976#497—431no—
977#496—431no—
978#496C2×D4311yescharacteristic
979#496C2×D4311yescharacteristic, complemented
980#495—431no—
981#493C2×D4311yescharacteristic, complemented
982#491—431no—
983#490—431no—
984#490—431no—
985#489—431no—
986#488—431no—
987#486—431no—
988#485—431no—
989#483—431no—
990#482—431no—
991#482—431no—
992#482—431no—
993#481—431no—
994#479—431no—
995#478—431no—
996#478—431no—
997#478—431no—
998#477—431no—
999#477—431no—
1000#476—431no—
1001#475—431no—
1002#474—431no—
1003#474—431no—
1004#469—431no—
1005#468—431no—
1006#468—431no—
1007#468—431no—
1008#467—431no—
1009#466—431no—
1010#466—431no—
1011#466—431no—
1012#466—431no—
1013#465—431no—
1014#465—431no—
1015#465—431no—
1016#464—431no—
1017#464—431no—
1018#464—431no—
1019#464—431no—
1020#464—431no—
1021#464—431no—
1022#464—431no—
1023#464—431no—
1024#463—431no—
1025#463—431no—
1026#463—431no—
1027#463—431no—
1028#463—431no—
1029#463—431no—
1030#463C2×D4311yescharacteristic, complemented
1031#463C2×D4311yescharacteristic, complemented
1032#462—431no—
1033#461—431no—
1034#460—431no—
1035#460—431no—
1036#460—431no—
1037#460—431no—
1038#460—431no—
1039#460—431no—
1040#460C2×D4311yescharacteristic, complemented
1041#459—431no—
1042#459—431no—
1043#459C2×D4311yescharacteristic
1044#459C2×D4311yescharacteristic, complemented
1045#459C2×D4311yescharacteristic, complemented
1046#452—431no—
1047#452—431no—
1048#452—431no—
1049#452—431no—
1050#451—431no—
1051#450—431no—
1052#449—431no—
1053#449—431no—
1054#449—431no—
1055#449—431no—
1056#449—431no—
1057#449—431no—
1058#449—431no—
1059#449—431no—
1060#448—431no—
1061#447—431no—
1062#447—431no—
1063#447—431no—
1064#446—431no—
1065#446C2×D4311yescharacteristic, complemented
1066#442—431no—
1067#442C2×D4311yescharacteristic, complemented
1068#442C2×D4311yescharacteristic, complemented
1069#441—431no—
1070#441—431no—
1071#440—431no—
1072#440—431no—
1073#440—431no—
1074C4×Q16—431no—
1075C4×SD16—431no—
1076C4×SD16—431no—
1077C4×SD16C2×D4311yescharacteristic, complemented
1078#435—431no—
1079#435—431no—
1080#435—431no—
1081#435—431no—
1082C8×D4—431no—
1083C8×D4—431no—
1084#433—431no—
1085#433—431no—
1086#432—431no—
1087#424—431no—
1088#424—431no—
1089C2×C4⋊C8—431no—
1090#418—431no—
1091#417—431no—
1092#416—431no—
1093#416—431no—
1094#416—431no—
1095C2×#102—431no—
1096C43#6202611yescharacteristic, complemented, Sylow
1097C2×#41—21no—
1098C2×#41—431no—
1099C2×#41—431no—
1100C2×#41—431no—
1101C2×#41—431no—
1102C2×#41—431no—
1103C2×#41—431no—
1104C2×#41—861no—
1105C22×Q8—431no—
1106C22×D4—431no—
1107C22×D4—431no—
1108C22×D4—861no—
1109#137—1722no—
1110AGL(1,ℤ/8)—1722no—
1111#135—1722no—
1112#135—1722no—
1113#135—1722no—
1114C2×Q16—431no—
1115C2×Q16—431no—
1116C2×Q16—431no—
1117C2×Q16—431no—
1118C2×SD16—431no—
1119C2×SD16—431no—
1120C2×SD16—431no—
1121C2×SD16—431no—
1122C2×SD16—431no—
1123C2×SD16—431no—
1124C2×SD16—431no—
1125C2×SD16—431no—
1126C2×SD16—431no—
1127C2×SD16—1722no—
1128C2×SD16C22×D4311yescharacteristic
1129C2×SD16C22×D4311yescharacteristic
1130C2×SD16C22×D4311yescharacteristic
1131C2×D8—431no—
1132C2×D8—431no—
1133C2×D8C22×D4311yescharacteristic
1134C2×D8C22×D4311yescharacteristic
1135C2×D8C22×D4311yescharacteristic
1136C2×D8C22×D4311yescharacteristic
1137C2×D8C22×D4311yescharacteristic
1138C2×D8C22×D4311yescharacteristic
1139C2×M16—431no—
1140C2×M16—431no—
1141C22×C8—431no—
1142C22×C8—431no—
1143C22×C8—431no—
1144C22×C8—431no—
1145C4⋊Q8—431no—
1146C4⋊Q8—431no—
1147C4⋊Q8—431no—
1148C4⋊Q8—861no—
1149#127—431no—
1150#127—861no—
1151#127—861no—
1152#127—861no—
1153#127C22×D4311yescharacteristic
1154#127C22×D4311yescharacteristic
1155#127C22×D4311yescharacteristic
1156#127C22×D4311yescharacteristic
1157#126—431no—
1158#126—431no—
1159#126—861no—
1160#126—861no—
1161#126—861no—
1162#126—861no—
1163#126—861no—
1164#126—861no—
1165#126—861no—
1166#126—861no—
1167#125—431no—
1168#125—431no—
1169#125—431no—
1170#125—861no—
1171#125—861no—
1172#125—861no—
1173#124—21no—
1174#124—431no—
1175#124—431no—
1176#124—431no—
1177#124—431no—
1178#124—431no—
1179#124—861no—
1180#124—861no—
1181#124—861no—
1182#124—861no—
1183#124—861no—
1184#124—861no—
1185#124—861no—
1186#124—861no—
1187#124C22×D4311yescharacteristic
1188#124C22×D4311yescharacteristic
1189#123—21no—
1190#123—21no—
1191#123—431no—
1192#123—431no—
1193#123—861no—
1194#123—861no—
1195#123—861no—
1196#123—861no—
1197#123—861no—
1198#123—861no—
1199#123—861no—
1200#123—861no—
1201#123—861no—
1202#123—861no—
1203#123—861no—
1204#123—861no—
1205C22⋊Q8—431no—
1206C22⋊Q8—431no—
1207C22⋊Q8—431no—
1208C22⋊Q8—431no—
1209C22⋊Q8—431no—
1210C22⋊Q8—861no—
1211C22⋊Q8—861no—
1212C22⋊Q8—861no—
1213C22⋊Q8—861no—
1214C22⋊Q8—861no—
1215C22⋊Q8—861no—
1216#121—21no—
1217#121—21no—
1218#121—21no—
1219#121—431no—
1220#121—431no—
1221#121—431no—
1222#121—431no—
1223#121—431no—
1224#121—431no—
1225#121—431no—
1226#121—431no—
1227#121—431no—
1228#121—861no—
1229#121—861no—
1230#121—861no—
1231#121—861no—
1232#121—861no—
1233#121—861no—
1234#121—861no—
1235#121—861no—
1236#121—861no—
1237#121—861no—
1238#121—861no—
1239#121—861no—
1240#121—861no—
1241#121—861no—
1242#121—861no—
1243#121—861no—
1244#121—861no—
1245#121—861no—
1246#121—861no—
1247#121—861no—
1248#121—861no—
1249#121—861no—
1250#121—861no—
1251#120—861no—
1252#120—861no—
1253#120—861no—
1254#120—861no—
1255#120—861no—
1256#120—861no—
1257#120—861no—
1258#120—861no—
1259C4×Q8—431no—
1260C4×Q8—431no—
1261C4×Q8—431no—
1262C4×Q8—431no—
1263C4×Q8—431no—
1264C4×Q8—431no—
1265C4×Q8—431no—
1266C4×Q8—861no—
1267C4×Q8—861no—
1268C4×Q8—861no—
1269C4×Q8C22×D4311yescharacteristic
1270C4×Q8C22×D4311yescharacteristic
1271C4×D4—21no—
1272C4×D4—431no—
1273C4×D4—431no—
1274C4×D4—431no—
1275C4×D4—431no—
1276C4×D4—431no—
1277C4×D4—431no—
1278C4×D4—861no—
1279C4×D4—861no—
1280C4×D4—861no—
1281C4×D4—861no—
1282C4×D4—861no—
1283C4×D4—861no—
1284C4×D4—861no—
1285C4×D4—861no—
1286C4×D4—861no—
1287C4×D4—861no—
1288C4×D4—861no—
1289C4×D4—861no—
1290C4×D4—861no—
1291C4×D4—861no—
1292C4×D4C22×D4311yescharacteristic
1293C4×D4C22×D4311yescharacteristic
1294C4×D4C22×D4311yescharacteristic
1295C4×D4C22×D4311yescharacteristic
1296C4×D4C22×D4311yescharacteristic
1297#117—431no—
1298#117—431no—
1299#117—431no—
1300#117—431no—
1301#117—861no—
1302#117—861no—
1303#117—861no—
1304#117—861no—
1305#117—861no—
1306#117—861no—
1307#117—861no—
1308#117—861no—
1309C2×C4⋊C4—431no—
1310C2×C4⋊C4—861no—
1311C2×C4⋊C4—861no—
1312C2×C22⋊C4—861no—
1313C2×C22⋊C4—861no—
1314C2×C42—431no—
1315C2×C42—861no—
1316#107—431no—
1317#107—431no—
1318#107—431no—
1319#107—431no—
1320#106—431no—
1321#106—431no—
1322#106—431no—
1323#106C22×D4311yescharacteristic
1324C4⋊C8—431no—
1325C4⋊C8—431no—
1326C4⋊C8—431no—
1327C4⋊C8—431no—
1328C4⋊C8—431no—
1329C4⋊C8—431no—
1330C4⋊C8—431no—
1331C4⋊C8C22×D4311yescharacteristic
1332C4⋊C8C22×D4311yescharacteristic
1333C4⋊C8C22×D4311yescharacteristic
1334#103—431no—
1335#103—431no—
1336#103—431no—
1337#103—431no—
1338#103—431no—
1339#103—431no—
1340#103—431no—
1341#103—431no—
1342#103—431no—
1343#103—431no—
1344#103—431no—
1345#103C22×D4311yescharacteristic
1346#102—431no—
1347#102—431no—
1348#102—431no—
1349#102—431no—
1350#102—431no—
1351#102—431no—
1352#102—431no—
1353#102—431no—
1354#102—431no—
1355#102—431no—
1356#102—431no—
1357#102—431no—
1358#102—431no—
1359#102—431no—
1360#102—431no—
1361#102C22×D4311yescharacteristic
1362#102C22×D4311yescharacteristic
1363#102C22×D4311yescharacteristic
1364#102C22×D4311yescharacteristic
1365#102C22×D4311yescharacteristic
1366C22⋊C8—431no—
1367C22⋊C8—431no—
1368C22⋊C8—431no—
1369C22⋊C8—431no—
1370C22⋊C8—431no—
1371C22⋊C8—431no—
1372#97—431no—
1373#97—431no—
1374#97C22×D4311yescharacteristic
1375#97C22×D4311yescharacteristic
1376C4×C8—431no—
1377C4×C8C22×D4311yescharacteristic
1378C24—861no—
1379C24—861no—
1380#41—82no—
1381#41—862no—
1382#41—862no—
1383#41—3442no—
1384#41—1721no—
1385#41—1721no—
1386#41—1721no—
1387#41—1721no—
1388#41—1721no—
1389#41—1721no—
1390#41—1721no—
1391#41—1721no—
1392#41—1721no—
1393#41—1721no—
1394C2×Q8—431no—
1395C2×Q8—431no—
1396C2×Q8—431no—
1397C2×Q8—861no—
1398C2×Q8—861no—
1399C2×Q8—861no—
1400C2×Q8—862no—
1401C2×Q8—1721no—
1402C2×Q8D4×D4311yescharacteristic
1403C2×Q8C23×D4311yescharacteristic
1404C2×D4—21no—
1405C2×D4—21no—
1406C2×D4—21no—
1407C2×D4—21no—
1408C2×D4—21no—
1409C2×D4—21no—
1410C2×D4—21no—
1411C2×D4—21no—
1412C2×D4—431no—
1413C2×D4—431no—
1414C2×D4—431no—
1415C2×D4—431no—
1416C2×D4—861no—
1417C2×D4—861no—
1418C2×D4—861no—
1419C2×D4—861no—
1420C2×D4—861no—
1421C2×D4—861no—
1422C2×D4—861no—
1423C2×D4—861no—
1424C2×D4—861no—
1425C2×D4—861no—
1426C2×D4—861no—
1427C2×D4—861no—
1428C2×D4—861no—
1429C2×D4—861no—
1430C2×D4—861no—
1431C2×D4—861no—
1432C2×D4—861no—
1433C2×D4—861no—
1434C2×D4—3442no—
1435C2×D4—1721no—
1436C2×D4—1721no—
1437C2×D4—1721no—
1438C2×D4—1721no—
1439C2×D4C23×D4311yescharacteristic
1440C2×D4C23×D4311yescharacteristic
1441C2×D4C23×D4311yescharacteristic
1442C2×D4C23×D4311yescharacteristic
1443C2×D4C23×D4311yescharacteristic
1444C22×C4—21no—
1445C22×C4—21no—
1446C22×C4—21no—
1447C22×C4—21no—
1448C22×C4—21no—
1449C22×C4—431no—
1450C22×C4—431no—
1451C22×C4—431no—
1452C22×C4—431no—
1453C22×C4—431no—
1454C22×C4—861no—
1455C22×C4—861no—
1456C22×C4—861no—
1457C22×C4—861no—
1458C22×C4—861no—
1459C22×C4—861no—
1460C22×C4—861no—
1461C22×C4—861no—
1462C22×C4—861no—
1463C22×C4—861no—
1464C22×C4—861no—
1465Q16—862no—
1466Q16—862no—
1467Q16—1721no—
1468Q16—1721no—
1469SD16—41no—
1470SD16—41no—
1471SD16—41no—
1472SD16—862no—
1473SD16—862no—
1474SD16—862no—
1475SD16—862no—
1476SD16—1721no—
1477SD16—1721no—
1478SD16—1721no—
1479SD16—1721no—
1480SD16—1721no—
1481D8—41no—
1482D8—41no—
1483D8—41no—
1484D8—41no—
1485D8—41no—
1486D8—41no—
1487D8—1721no—
1488D8—1721no—
1489M16—1721no—
1490M16—1721no—
1491C2×C8—431no—
1492C2×C8—431no—
1493C2×C8—431no—
1494C2×C8—431no—
1495C2×C8—1721no—
1496C2×C8—1721no—
1497C2×C8—1721no—
1498C2×C8—1721no—
1499C2×C8C23×D4311yescharacteristic
1500C2×C8C23×D4311yescharacteristic
1501C2×C8C23×D4311yescharacteristic
1502C2×C8C23×D4311yescharacteristic
1503C4⋊C4—21no—
1504C4⋊C4—431no—
1505C4⋊C4—431no—
1506C4⋊C4—431no—
1507C4⋊C4—431no—
1508C4⋊C4—431no—
1509C4⋊C4—431no—
1510C4⋊C4—431no—
1511C4⋊C4—431no—
1512C4⋊C4—431no—
1513C4⋊C4—431no—
1514C4⋊C4—431no—
1515C4⋊C4—861no—
1516C4⋊C4—861no—
1517C4⋊C4—861no—
1518C4⋊C4—861no—
1519C4⋊C4—861no—
1520C4⋊C4—861no—
1521C4⋊C4—861no—
1522C4⋊C4—861no—
1523C4⋊C4—861no—
1524C4⋊C4—861no—
1525C4⋊C4—861no—
1526C4⋊C4—861no—
1527C4⋊C4—861no—
1528C4⋊C4—861no—
1529C4⋊C4—861no—
1530C4⋊C4—861no—
1531C4⋊C4—861no—
1532C4⋊C4—861no—
1533C4⋊C4—861no—
1534C4⋊C4—861no—
1535C4⋊C4D4×D4311yescharacteristic
1536C4⋊C4D4×D4311yescharacteristic
1537C4⋊C4D4×D4311yescharacteristic
1538C4⋊C4C23×D4311yescharacteristic
1539C4⋊C4C23×D4311yescharacteristic
1540C22⋊C4—21no—
1541C22⋊C4—21no—
1542C22⋊C4—21no—
1543C22⋊C4—21no—
1544C22⋊C4—21no—
1545C22⋊C4—21no—
1546C22⋊C4—21no—
1547C22⋊C4—21no—
1548C22⋊C4—21no—
1549C22⋊C4—431no—
1550C22⋊C4—431no—
1551C22⋊C4—431no—
1552C22⋊C4—431no—
1553C22⋊C4—431no—
1554C22⋊C4—431no—
1555C22⋊C4—431no—
1556C22⋊C4—431no—
1557C22⋊C4—431no—
1558C22⋊C4—431no—
1559C22⋊C4—861no—
1560C22⋊C4—861no—
1561C22⋊C4—861no—
1562C22⋊C4—861no—
1563C22⋊C4—861no—
1564C22⋊C4—861no—
1565C22⋊C4—861no—
1566C22⋊C4—861no—
1567C22⋊C4—861no—
1568C22⋊C4—861no—
1569C22⋊C4—861no—
1570C22⋊C4—861no—
1571C22⋊C4—861no—
1572C22⋊C4—861no—
1573C22⋊C4—861no—
1574C22⋊C4—861no—
1575C22⋊C4—861no—
1576C22⋊C4—861no—
1577C22⋊C4—861no—
1578C22⋊C4—861no—
1579C22⋊C4—861no—
1580C22⋊C4—861no—
1581C22⋊C4—861no—
1582C22⋊C4—861no—
1583C22⋊C4—861no—
1584C42—21no—
1585C42—431no—
1586C42—431no—
1587C42—431no—
1588C42—861no—
1589C42—861no—
1590C42—861no—
1591C42—861no—
1592C42—861no—
1593C42—861no—
1594C42—861no—
1595C42—861no—
1596C42—861no—
1597C42C23×D4311yescharacteristic
1598C42C23×D4311yescharacteristic
1599C42C23×D4311yescharacteristic
1600C23—21no—
1601C23—21no—
1602C23—21no—
1603C23—21no—
1604C23—21no—
1605C23—431no—
1606C23—431no—
1607C23—431no—
1608C23—861no—
1609C23—3441no—
1610C23—3441no—
1611C23—3441no—
1612C23—3441no—
1613C23—3441no—
1614C23—3441no—
1615Q8—21no—
1616Q8—21no—
1617Q8—41no—
1618Q8—432no—
1619Q8—861no—
1620Q8—861no—
1621Q8—861no—
1622Q8—861no—
1623Q8—861no—
1624Q8—3441no—
1625Q8—3441no—
1626Q8—1722no—
1627D4—21no—
1628D4—21no—
1629D4—21no—
1630D4—21no—
1631D4—21no—
1632D4—21no—
1633D4—21no—
1634D4—21no—
1635D4—21no—
1636D4—21no—
1637D4—42no—
1638D4—81no—
1639D4—81no—
1640D4—81no—
1641D4—81no—
1642D4—81no—
1643D4—81no—
1644D4—81no—
1645D4—861no—
1646D4—861no—
1647D4—3441no—
1648D4—3441no—
1649D4—3441no—
1650D4—3441no—
1651D4—3441no—
1652D4—3441no—
1653D4—3441no—
1654D4—3441no—
1655D4—3441no—
1656D4—3441no—
1657D4—3441no—
1658D4—3441no—
1659D4—3441no—
1660D4—3441no—
1661D4—3441no—
1662D4—3441no—
1663D4—1721no—
1664D4—1721no—
1665D4—1721no—
1666D4—1722no—
1667D4—1722no—
1668C2×C4—21no—
1669C2×C4—21no—
1670C2×C4—21no—
1671C2×C4—42no—
1672C2×C4—81no—
1673C2×C4—81no—
1674C2×C4—81no—
1675C2×C4—81no—
1676C2×C4—431no—
1677C2×C4—431no—
1678C2×C4—431no—
1679C2×C4—431no—
1680C2×C4—431no—
1681C2×C4—861no—
1682C2×C4—861no—
1683C2×C4—861no—
1684C2×C4—861no—
1685C2×C4—861no—
1686C2×C4—861no—
1687C2×C4—861no—
1688C2×C4—861no—
1689C2×C4—861no—
1690C2×C4—861no—
1691C2×C4—861no—
1692C2×C4—861no—
1693C2×C4—861no—
1694C2×C4—3441no—
1695C2×C4—3441no—
1696C2×C4—3441no—
1697C2×C4—3441no—
1698C2×C4—3441no—
1699C2×C4—3441no—
1700C2×C4—3441no—
1701C2×C4—1721no—
1702C2×C4—1721no—
1703C2×C4—1722no—
1704C2×C4—1722no—
1705C2×C4—1722no—
1706C2×C4—1722no—
1707C2×C4C2×D4×D4311yescharacteristic
1708C2×C4C2×D4×D4311yescharacteristic
1709C2×C4C2×D4×D4311yescharacteristic
1710C2×C4C2×D4×D4311yescharacteristic
1711C2×C4C2×D4×D4311yescharacteristic
1712C2×C4C2×D4×D4311yescharacteristic
1713C2×C4C24×D4311yescharacteristic
1714C8—21no—
1715C8—21no—
1716C8—21no—
1717C8—21no—
1718C8—861no—
1719C8—861no—
1720C8—861no—
1721C8—861no—
1722C22—41no—
1723C22—41no—
1724C22—41no—
1725C22—41no—
1726C22—41no—
1727C22—41no—
1728C22—41no—
1729C22—41no—
1730C22—41no—
1731C22—41no—
1732C22—41no—
1733C22—41no—
1734C22—41no—
1735C22—41no—
1736C22—41no—
1737C22—861no—
1738C22—861no—
1739C22—861no—
1740C22—861no—
1741C22—861no—
1742C22—861no—
1743C22—861no—
1744C22—861no—
1745C22—861no—
1746C22—1721no—
1747C22—1721no—
1748C22—1721no—
1749C22—6882no—
1750C22—6882no—
1751C22C22×D4×D4311yescharacteristic
1752C4—21no—
1753C4—21no—
1754C4—21no—
1755C4—21no—
1756C4—21no—
1757C4—21no—
1758C4—41no—
1759C4—41no—
1760C4—41no—
1761C4—861no—
1762C4—861no—
1763C4—861no—
1764C4—861no—
1765C4—861no—
1766C4—862no—
1767C4—1721no—
1768C4—1721no—
1769C4—1721no—
1770C4—1721no—
1771C4—1721no—
1772C4—1721no—
1773C4H(5,𝔽2)×D4311yescharacteristic
1774C4#1458373511yescharacteristic
1775C2—81no—
1776C2—81no—
1777C2—81no—
1778C2—81no—
1779C2—81no—
1780C2—3441no—
1781C2—1721no—
1782C2—1721no—
1783C2—1721no—
1784C2#1914826311yescharacteristic
1785C2#1914936311yescharacteristic
1786C2#1914937111yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3399C2
socleC22×C43C23×D4
hypercenter#3399D43
hypocenterC43#62026
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C4×Q8 ◁ #3399

Complements

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

NH ≅ G/Ntype
1. #19148955C2semidirect
2. #19148699C2semidirect
3. #19147655C2semidirect
4. #19147439C2semidirect
5. #19147320C2semidirect
6. #19146756C2semidirect
7. #19146743C2semidirect
8. #19146728C2semidirect
9. #19146576C2semidirect
10. #19146548C2semidirect
11. #19146435C2semidirect
12. #19146353C2semidirect
13. #19146308C2semidirect
14. #19146179C2semidirect
15. #19146156C2semidirect
16. #19146141C2semidirect
17. #19146089C2semidirect
18. #19146053C2semidirect
19. #19146002C2semidirect
20. #19145918C2semidirect
21. #19145684C2semidirect
22. #19145638C2semidirect
23. #19145627C2semidirect
24. #19144876C2semidirect
25. #19144820C2semidirect
26. #19144742C2semidirect
27. #19144129C2semidirect
28. #19144111C2semidirect
29. #19144043C2semidirect
30. #19143733C2semidirect
31. C43×#3399C2semidirect
32. C2×#13063354C22semidirect
34. C2×#13063344C22semidirect
35. C2×#13063344C22semidirect
36. C2×#13063344C22semidirect
41. #14583627C22semidirect
43. #14583614C22semidirect
48. #14583590C22semidirect
52. #14583569C22semidirect
54. #14583557C22semidirect
60. #14583518C22semidirect
64. #14583503C22semidirect
76. #14583428C22semidirect
78. #14583378C22semidirect
79. #14583375C22semidirect
80. C4×#10621900C22semidirect
81. #14583294C22semidirect
84. #14583268C22semidirect
86. #14583263C22semidirect
89. #14583245C22semidirect
90. #14583243C22semidirect
91. #14583231C22semidirect
94. #14583221C22semidirect
96. #14583207C22semidirect
98. #14583199C22semidirect
99. #14583199C22semidirect
100. #14583195C22semidirect
101. #14583192C22semidirect
102. #14583187C22semidirect
103. #14583183C22semidirect
104. #14583179C22semidirect
105. #14583177C22semidirect
107. #14583144C22semidirect
108. #14583144C22semidirect
110. #14583139C22semidirect
114. #14583132C22semidirect
116. #14583127C22semidirect
117. #14583125C22semidirect
121. #14583120C22semidirect
122. #14583120C22semidirect
123. #14583119C22semidirect
124. #14583119C22semidirect
125. #14583118C22semidirect
127. #14583112C22semidirect
128. #14583112C22semidirect
129. #14583112C22semidirect
130. #14583112C22semidirect
132. #14583110C22semidirect
133. #14583104C22semidirect
137. #14583096C22semidirect
138. #14583096C22semidirect
139. #14583096C22semidirect
142. #14583062C22semidirect
143. #14583058C22semidirect
144. #14583058C22semidirect
145. #14583058C22semidirect
146. #14583056C22semidirect
150. #14583041C22semidirect
151. #14583041C22semidirect
152. #14583041C22semidirect
153. #14583041C22semidirect
154. #14583041C22semidirect
155. #14583041C22semidirect
160. #14583030C22semidirect
162. #14583007C22semidirect
163. #14583004C22semidirect
165. #14582999C22semidirect
166. #14582999C22semidirect
167. C4×Dic172C22semidirect
168. C4×#10621883C22semidirect
169. C4×#10621883C22semidirect
171. #14582972C22semidirect
173. #14582969C22semidirect
174. C8×D172C22semidirect
175. #14582964C22semidirect
176. #14582961C22semidirect
177. #14582958C22semidirect
178. #14582954C22semidirect
179. #14582924C22semidirect
180. #14582924C22semidirect
181. C4⋊C8×D43C22semidirect
183. #14582897C22semidirect
184. #14582892C22semidirect
185. #14582892C22semidirect
186. #14582892C22semidirect
188. C43×#559C22semidirect
191. C43×#496C22semidirect
192. C43×#493C22semidirect
193. C43×#463C22semidirect
194. C43×#463C22semidirect
195. C43×#460C22semidirect
197. C43×#459C22semidirect
198. C43×#459C22semidirect
199. C43×#446C22semidirect
200. C43×#442C22semidirect
201. C43×#442C22semidirect
202. C4×SD16×C43C22semidirect
885. #3399D43semidirect
934. #559C2×D43semidirect
979. #496C2×D43semidirect
981. #493C2×D43semidirect
1030. #463C2×D43semidirect
1031. #463C2×D43semidirect
1040. #460C2×D43semidirect
1044. #459C2×D43semidirect
1045. #459C2×D43semidirect
1065. #446C2×D43semidirect
1067. #442C2×D43semidirect
1068. #442C2×D43semidirect
1077. C4×SD16C2×D43semidirect
1096. C43#62026semidirect

Maximal subgroups

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

subgroupindex
#191489552
#191486992
#191476552
#191474392
#191473202
#191467562
#191467432
#191467282
#191465762
#191465482
#191464352
#191463532
#191463082
#191461792
#191461562
#191461412
#191460892
#191460532
#191460022
#191459182
#191456842
#191456382
#191456272
#191448762
#191448202
#191447422
#191441292
#191441112
#191440432
#191437332
C43×#33992
#6202643