Finite Group Databasebeta

← #25990367

Subgroups — #25990367

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#19148956C211yesmaximal, characteristic, complemented
2#19148698C211yesmaximal, characteristic, complemented
3#19147656C211yesmaximal, characteristic, complemented
4#19147642C211yesmaximal, characteristic, complemented
5#19147443C211yesmaximal, characteristic, complemented
6#19147321C211yesmaximal, characteristic, complemented
7#19146744C211yesmaximal, characteristic, complemented
8#19146729C211yesmaximal, characteristic, complemented
9#19146720C211yesmaximal, characteristic, complemented
10#19146575C211yesmaximal, characteristic, complemented
11#19146538C211yesmaximal, characteristic, complemented
12#19146429C211yesmaximal, characteristic, complemented
13#19146353C211yesmaximal, characteristic, complemented
14#19146306C211yesmaximal, characteristic, complemented
15#19146178C211yesmaximal, characteristic, complemented
16#19146148C211yesmaximal, characteristic, complemented
17#19146134C211yesmaximal, characteristic, complemented
18#19146094C211yesmaximal, characteristic, complemented
19#19146053C211yesmaximal, characteristic, complemented
20#19146000C211yesmaximal, characteristic, complemented
21#19145917C211yesmaximal, characteristic, complemented
22#19145686C211yesmaximal, characteristic, complemented
23#19145631C211yesmaximal, characteristic, complemented
24#19144869C211yesmaximal, characteristic, complemented
25#19144826C211yesmaximal, characteristic, complemented
26#19144743C211yesmaximal, characteristic, complemented
27#19144129C211yesmaximal, characteristic, complemented
28#19144112C211yesmaximal, characteristic, complemented
29#19144047C211yesmaximal, characteristic, complemented
30#19143729C211yesmaximal, characteristic, complemented
31C43×#3220C211yesmaximal, characteristic, complemented
32C2×#13063355C2211yescharacteristic, complemented
33C2×#13063349C2211yescharacteristic
34C2×#13063346C2211yescharacteristic, complemented
35C2×#13063344C2211yescharacteristic, complemented
36C2×#13063344C2211yescharacteristic, complemented
37C22×#10621883C2211yescharacteristic
38#14583638—21no—
39#14583637—21no—
40#14583635C2211yescharacteristic, complemented
41#14583633—21no—
42#14583626C2211yescharacteristic, complemented
43#14583618C2211yescharacteristic
44#14583613—21no—
45#14583613C2211yescharacteristic, complemented
46#14583596C2211yescharacteristic
47#14583592—21no—
48#14583592—21no—
49#14583587C2211yescharacteristic, complemented
50#14583586—21no—
51#14583569C2211yescharacteristic
52#14583569C2211yescharacteristic
53#14583569C2211yescharacteristic, complemented
54#14583568C2211yescharacteristic
55#14583555C2211yescharacteristic
56#14583555C2211yescharacteristic, complemented
57#14583548C2211yescharacteristic
58#14583543C2211yescharacteristic
59#14583542C2211yescharacteristic
60#14583536—21no—
61D4×C22⋊D43C2211yescharacteristic
62#14583520C2211yescharacteristic
63#14583518C2211yescharacteristic
64#14583517—21no—
65#14583514C2211yescharacteristic, complemented
66#14583499—21no—
67#14583484—21no—
68#14583481—21no—
69#14583476—21no—
70#14583464—21no—
71#14583462C2211yescharacteristic
72#14583448C2211yescharacteristic
73#14583447C2211yescharacteristic
74#14583431C2211yescharacteristic, complemented
75#14583430—21no—
76#14583427C2211yescharacteristic
77#14583426—21no—
78#14583378C2211yescharacteristic, complemented
79#14583376C2211yescharacteristic, complemented
80C4×#10621900C2211yescharacteristic, complemented
81#14583290C2211yescharacteristic, complemented
82#14583287C2211yescharacteristic
83#14583287C2211yescharacteristic, complemented
84#14583282C2211yescharacteristic
85#14583266C2211yescharacteristic, complemented
86#14583262C2211yescharacteristic
87#14583257C2211yescharacteristic
88#14583244C2211yescharacteristic, complemented
89#14583241C2211yescharacteristic, complemented
90#14583228C2211yescharacteristic, complemented
91#14583224C2211yescharacteristic
92#14583222C2211yescharacteristic
93#14583222C2211yescharacteristic, complemented
94#14583216C2211yescharacteristic
95#14583203C2211yescharacteristic, complemented
96#14583197C2211yescharacteristic
97#14583197C2211yescharacteristic, complemented
98#14583196C2211yescharacteristic, complemented
99#14583195C2211yescharacteristic, complemented
100#14583192C2211yescharacteristic, complemented
101#14583189C2211yescharacteristic, complemented
102#14583185C2211yescharacteristic, complemented
103#14583179C2211yescharacteristic, complemented
104#14583177C2211yescharacteristic, complemented
105#14583150C2211yescharacteristic
106#14583144C2211yescharacteristic
107#14583143C2211yescharacteristic, complemented
108#14583142C2211yescharacteristic, complemented
109#14583139C2211yescharacteristic, complemented
110#14583133C2211yescharacteristic
111#14583132C2211yescharacteristic
112#14583132C2211yescharacteristic
113#14583132C2211yescharacteristic, complemented
114#14583127C2211yescharacteristic
115#14583127C2211yescharacteristic, complemented
116#14583126C2211yescharacteristic, complemented
117#14583122C2211yescharacteristic, complemented
118#14583122C2211yescharacteristic, complemented
119#14583120C2211yescharacteristic
120#14583119C2211yescharacteristic, complemented
121#14583118C2211yescharacteristic
122#14583118C2211yescharacteristic
123#14583118C2211yescharacteristic, complemented
124#14583118C2211yescharacteristic, complemented
125#14583114C2211yescharacteristic, complemented
126#14583114C2211yescharacteristic, complemented
127#14583112C2211yescharacteristic
128#14583112C2211yescharacteristic
129#14583112C2211yescharacteristic, complemented
130#14583112C2211yescharacteristic, complemented
131#14583108C2211yescharacteristic, complemented
132#14583102C2211yescharacteristic, complemented
133#14583098C2211yescharacteristic
134#14583098C2211yescharacteristic, complemented
135#14583096C2211yescharacteristic
136#14583096C2211yescharacteristic
137#14583096C2211yescharacteristic, complemented
138#14583096C2211yescharacteristic, complemented
139#14583096C2211yescharacteristic, complemented
140#14583092C2211yescharacteristic
141#14583092C2211yescharacteristic, complemented
142#14583091C2211yescharacteristic, complemented
143#14583064C2211yescharacteristic, complemented
144#14583062C2211yescharacteristic, complemented
145#14583062C2211yescharacteristic, complemented
146#14583058C2211yescharacteristic, complemented
147#14583057C2211yescharacteristic, complemented
148#14583051C2211yescharacteristic
149#14583043C2211yescharacteristic, complemented
150#14583041C2211yescharacteristic
151#14583041C2211yescharacteristic
152#14583041C2211yescharacteristic, complemented
153#14583041C2211yescharacteristic, complemented
154#14583041C2211yescharacteristic, complemented
155#14583040C2211yescharacteristic
156#14583031C2211yescharacteristic
157#14583029C2211yescharacteristic, complemented
158#14583027C2211yescharacteristic, complemented
159#14583011C2211yescharacteristic
160#14583011C2211yescharacteristic, complemented
161#14583011C2211yescharacteristic, complemented
162#14583007C2211yescharacteristic, complemented
163#14583003C2211yescharacteristic, complemented
164#14583001C2211yescharacteristic, complemented
165#14582996C2211yescharacteristic
166#14582996C2211yescharacteristic, complemented
167C4×Dic172C2211yescharacteristic, complemented
168#14582990C2211yescharacteristic, complemented
169C4×#10621873C2211yescharacteristic, complemented
170SD16×Dic43C2211yescharacteristic, complemented
171#14582973C2211yescharacteristic
172#14582973C2211yescharacteristic, complemented
173#14582972C2211yescharacteristic, complemented
174#14582967C2211yescharacteristic
175C8×D172C2211yescharacteristic, complemented
176(C22⋊D43)⋊C8C2211yescharacteristic, complemented
177#14582959C2211yescharacteristic, complemented
178#14582955C2211yescharacteristic, complemented
179#14582926C2211yescharacteristic, complemented
180#14582924C2211yescharacteristic, complemented
181C4⋊C8×D43C2211yescharacteristic, complemented
182#14582904C2211yescharacteristic
183#14582897C2211yescharacteristic, complemented
184#14582895C2211yescharacteristic, complemented
185#14582894C2211yescharacteristic, complemented
186#14582892C2211yescharacteristic, complemented
187#102×D43C2211yescharacteristic
188C43×#540C2211yescharacteristic, complemented
189C43×#535C2211yescharacteristic
190C43×#496C2211yescharacteristic
191C43×#493C2211yescharacteristic, complemented
192C43×#490C2211yescharacteristic, complemented
193C43×#488C2211yescharacteristic
194C43×#463C2211yescharacteristic, complemented
195C43×#463C2211yescharacteristic, complemented
196C43×#459C2211yescharacteristic
197C43×#459C2211yescharacteristic
198C43×#449C2211yescharacteristic, complemented
199C43×#449C2211yescharacteristic, complemented
200C43×#447C2211yescharacteristic
201C43×#447C2211yescharacteristic
202C43×#433C2211yescharacteristic, complemented
203C2×#10621902C2311yescharacteristic
204C2×#10621900—21no—
205C2×#10621900—21no—
206C2×#10621900C2311yescharacteristic
207C2×#10621900C2311yescharacteristic
208C2×#10621900C2311yescharacteristic
209C2×#10621900C2311yescharacteristic
210C22×Dic86C2311yescharacteristic
211C22×C22⋊D43—21no—
212C2×D4×D43C2311yescharacteristic
213#13063355—42no—
214#13063349—42no—
215#13063346—42no—
216#13063344—42no—
217#13063344—42no—
218C2×Dic172C2311yescharacteristic
219C2×Dic172C2311yescharacteristic
220C2×#10621885C2311yescharacteristic
221C2×#10621885C2311yescharacteristic
222C2×#10621873C2311yescharacteristic
223C2×#10621873C2311yescharacteristic
224C2×#10621883—42no—
225C2×#10621883C2311yescharacteristic
226C2×#10621883C2311yescharacteristic
227C2×#10621883C2311yescharacteristic
228C2×#10621883C2311yescharacteristic
229C2×#10621883C2311yescharacteristic
230C2×#10621883C2311yescharacteristic
231C2×#10621883C2311yescharacteristic
232C2×#10621883C2311yescharacteristic
233C2×#10621882C2311yescharacteristic
234C2×#10621882C2311yescharacteristic
235C2×#10621877C2311yescharacteristic
236C2×#10621872C2311yescharacteristic
237C22×C43⋊C8C2311yescharacteristic
238C2×C8×D43C2311yescharacteristic
239C2×C8×D43C2311yescharacteristic
240C2×C8×D43C2311yescharacteristic
241#13063325C2311yescharacteristic
242#13063324—21no—
243#13063324C2311yescharacteristic
244#13063323C2311yescharacteristic
245#13063321—21no—
246#13063321—21no—
247#13063321—21no—
248#13063321C2311yescharacteristic
249#13063321C2311yescharacteristic
250#13063320—21no—
251#13063320—21no—
252#13063320D411yescharacteristic
253#13063318—21no—
254#13063318—21no—
255#13063318—21no—
256#13063318—21no—
257#13063318—21no—
258#13063318—21no—
259#13063318D411yescharacteristic
260#13063316—21no—
261#13063316C2311yescharacteristic
262#13063315—21no—
263#13063315—21no—
264#13063315D411yescharacteristic
265#13063313C2311yescharacteristic
266#13063312—21no—
267#13063312—21no—
268#13063312—21no—
269#13063312C2311yescharacteristic
270#13063312C2311yescharacteristic
271#13063312C2311yescharacteristic
272#13063311—21no—
273#13063311—21no—
274#13063311—21no—
275#13063311—21no—
276#13063311—21no—
277#13063311—21no—
278#13063311D411yescharacteristic
279#13063310—21no—
280#13063310D411yescharacteristic
281#13063309—21no—
282#13063308—21no—
283#13063308—21no—
284#13063307—21no—
285#13063307—21no—
286#13063307—21no—
287#13063307D411yescharacteristic
288#13063306—21no—
289#13063306—21no—
290#13063306—21no—
291#13063306—21no—
292#13063306—21no—
293#13063305C2311yescharacteristic
294#13063305C2311yescharacteristic
295#13063304—21no—
296#13063304C2311yescharacteristic
297#13063303—21no—
298#13063303D411yescharacteristic
299#13063302—21no—
300#13063302—21no—
301#13063302—21no—
302#13063302—21no—
303#13063301C2311yescharacteristic
304#13063299—21no—
305#13063299C2311yescharacteristic
306#13063298—21no—
307#13063298—21no—
308#13063298—21no—
309#13063298D411yescharacteristic
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#13063297—21no—
322#13063297—21no—
323#13063297—21no—
324#13063296—21no—
325#13063296—21no—
326#13063296—21no—
327#13063296—21no—
328#13063296C2311yescharacteristic
329#13063296C2311yescharacteristic
330#13063296C2311yescharacteristic
331#13063296C2311yescharacteristic
332#13063296C2311yescharacteristic
333#13063295—21no—
334#13063294—21no—
335#13063294—21no—
336#13063293—21no—
337#13063293—21no—
338#13063293—21no—
339Q8×Dic43C2311yescharacteristic
340C4×Dic86C2311yescharacteristic
341C4×Dic86C2311yescharacteristic
342C4×Dic86C2311yescharacteristic
343C4×Dic86C2311yescharacteristic
344C4×Dic86C2311yescharacteristic
345C4×Dic86C2311yescharacteristic
346#13063290—21no—
347#13063290—21no—
348#13063290—21no—
349#13063290C2311yescharacteristic
350#13063290C2311yescharacteristic
351C4×D172C2311yescharacteristic
352C4×D172C2311yescharacteristic
353D4×Dic43—21no—
354D4×Dic43—21no—
355D4×Dic43—21no—
356D4×Dic43—21no—
357D4×Dic43—21no—
358D4×Dic43—21no—
359D4×Dic43C2311yescharacteristic
360D4×Dic43C2311yescharacteristic
361D4×Dic43C2311yescharacteristic
362D4×Dic43C2311yescharacteristic
363D4×Dic43C2311yescharacteristic
364C4×C22⋊D43—21no—
365C4×C22⋊D43—21no—
366C4×C22⋊D43—21no—
367C4×C22⋊D43—21no—
368C4×C22⋊D43C2311yescharacteristic
369C4×C22⋊D43C2311yescharacteristic
370(C22⋊D43)⋊C4—21no—
371(C22⋊D43)⋊C4—21no—
372(C22⋊D43)⋊C4—21no—
373(C22⋊D43)⋊C4—21no—
374(C22⋊D43)⋊C4—21no—
375#13063284—21no—
376#13063284C2311yescharacteristic
377#13063283—21no—
378#13063283C2311yescharacteristic
379#13063282C2311yescharacteristic
380#13063281—21no—
381#13063281—21no—
382#13063281—21no—
383#13063281—21no—
384#13063281—21no—
385#13063281—21no—
386C2×Dic43⋊C4—21no—
387C2×Dic43⋊C4—21no—
388C4⋊C4×D43C2311yescharacteristic
389C2×C22⋊Dic43—21no—
390C22⋊C4×D43—21no—
391C2×C4×Dic43—21no—
392C42×D43C2311yescharacteristic
393#13063259C2311yescharacteristic
394#13063259C2311yescharacteristic
395#13063258C2311yescharacteristic
396#13063258C2311yescharacteristic
397#13063257C2311yescharacteristic
398#13063257C2311yescharacteristic
399#13063256C2311yescharacteristic
400#13063256C2311yescharacteristic
401C4⋊(C43⋊C8)C2311yescharacteristic
402C4⋊(C43⋊C8)C2311yescharacteristic
403C4⋊(C43⋊C8)C2311yescharacteristic
404C4⋊(C43⋊C8)C2311yescharacteristic
405Dic43⋊C8C2311yescharacteristic
406Dic43⋊C8C2311yescharacteristic
407Dic43⋊C8C2311yescharacteristic
408Dic43⋊C8C2311yescharacteristic
409#13063250C2311yescharacteristic
410#13063250C2311yescharacteristic
411#13063250C2311yescharacteristic
412#13063250C2311yescharacteristic
413#13063250C2311yescharacteristic
414#13063250C2311yescharacteristic
415#13063249C2311yescharacteristic
416#13063249C2311yescharacteristic
417#13063248C2311yescharacteristic
418#13063248C2311yescharacteristic
419#13063247C2311yescharacteristic
420#13063247C2311yescharacteristic
421#13063246C2311yescharacteristic
422#13063246C2311yescharacteristic
423#13063246C2311yescharacteristic
424#13063246C2311yescharacteristic
425#13063246C2311yescharacteristic
426#13063246C2311yescharacteristic
427#13063246C2311yescharacteristic
428#13063246C2311yescharacteristic
429#13063246C2311yescharacteristic
430#13063246C2311yescharacteristic
431#13063245C2311yescharacteristic
432#13063245C2311yescharacteristic
433(C2×D43)⋊C8C2311yescharacteristic
434(C2×D43)⋊C8C2311yescharacteristic
435(C2×D43)⋊C8C2311yescharacteristic
436(C2×D43)⋊C8C2311yescharacteristic
437#13063235C2311yescharacteristic
438#13063235C2311yescharacteristic
439#13063235C2311yescharacteristic
440C8×Dic43C2311yescharacteristic
441C2×#41×C43C2311yescharacteristic
442C22×D4×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#125×C43C2311yescharacteristic
455#124×C43C2311yescharacteristic
456#124×C43C2311yescharacteristic
457#123×C43—21no—
458#123×C43—21no—
459#121×C43—21no—
460#121×C43—21no—
461#121×C43—21no—
462#121×C43—21no—
463#121×C43C2311yescharacteristic
464#121×C43C2311yescharacteristic
465#120×C43—21no—
466#120×C43—21no—
467C4×D4×C43C2311yescharacteristic
468C4×D4×C43C2311yescharacteristic
469#117×C43C2311yescharacteristic
470C4⋊C8×C43C2311yescharacteristic
471C4⋊C8×C43C2311yescharacteristic
472#103×C43C2311yescharacteristic
473#103×C43C2311yescharacteristic
474#102×C43C2311yescharacteristic
475#102×C43C2311yescharacteristic
476#102×C43C2311yescharacteristic
477#102×C43C2311yescharacteristic
478#102×C43C2311yescharacteristic
479#102×C43C2311yescharacteristic
480C22⋊C8×C43C2311yescharacteristic
481C22⋊C8×C43C2311yescharacteristic
482#97×C43C2311yescharacteristic
483C4×C8×C43C2311yescharacteristic
484C24×C43—21no—
485C23×D43—21no—
486#41×C43—41no—
487#41×C43—41no—
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×C43—21no—
498C2×D4×C43—21no—
499C2×D4×C43—41no—
500C2×D4×C43—41no—
501C2×D4×C43C2411yescharacteristic
502C2×D4×C43C2411yescharacteristic
503C2×D4×C43C2411yescharacteristic
504C2×D4×C43C2411yescharacteristic
505C2×D4×C43C2411yescharacteristic
506C22×C4×C43—21no—
507C22×C4×C43—21no—
508C22×C4×C43—21no—
509C22×C4×C43C2411yescharacteristic
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—
524C2×C22⋊D43—21no—
525C2×C22⋊D43—82no—
526C2×C22⋊D43C2×D411yescharacteristic
527C2×C22⋊D43C2×D411yescharacteristic
528C22×Dic43—21no—
529C22×Dic43—21no—
530C22×Dic43—21no—
531C22×Dic43—21no—
532C22×Dic43—21no—
533C22×Dic43—21no—
534C22×Dic43—21no—
535C22×Dic43—21no—
536C22×Dic43—21no—
537C22×Dic43—21no—
538#10621902—41no—
539#10621902—41no—
540#10621900—22no—
541#10621900—22no—
542#10621900—41no—
543#10621900—41no—
544#10621900—41no—
545#10621900—41no—
546#10621900—41no—
547#10621900—41no—
548#10621900—82no—
549#10621900—82no—
550D4×D43—41no—
551D4×D43—41no—
552C2×D172—21no—
553C2×D172C2×D411yescharacteristic
554C2×D172C2411yescharacteristic
555C2×C4×D43—21no—
556C2×C4×D43—21no—
557C2×C4×D43—21no—
558C2×C4×D43C2×D411yescharacteristic
559C2×C4×D43C2×D411yescharacteristic
560C2×C4×D43C2411yescharacteristic
561C2×C4×D43C2411yescharacteristic
562C2×Dic86—22no—
563C2×Dic86—21no—
564C2×Dic86—21no—
565C2×Dic86—21no—
566C2×Dic86—41no—
567C2×Dic86C2×D411yescharacteristic
568C2×Dic86C2411yescharacteristic
569C2×Dic86C2411yescharacteristic
570C2×Dic86C2411yescharacteristic
571SD16×C43—41no—
572SD16×C43—41no—
573D8×C43—41no—
574D8×C43—41no—
575D8×C43—41no—
576D8×C43—41no—
577D8×C43—41no—
578D8×C43—41no—
579C2×C8×C43C2411yescharacteristic
580C2×C8×C43C2411yescharacteristic
581C2×C8×C43C2411yescharacteristic
582C2×C8×C43C2411yescharacteristic
583C4⋊C4×C43—21no—
584C4⋊C4×C43—21no—
585C4⋊C4×C43C2×D411yescharacteristic
586C4⋊C4×C43C2×D411yescharacteristic
587C4⋊C4×C43C2411yescharacteristic
588C4⋊C4×C43C2411yescharacteristic
589C22⋊C4×C43—21no—
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×C43C2×D411yescharacteristic
598C22⋊C4×C43C2×D411yescharacteristic
599C42×C43C2411yescharacteristic
600C42×C43C2411yescharacteristic
601C22⋊Dic43—21no—
602C22⋊Dic43—21no—
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—
616C22⋊Dic43—21no—
617C22⋊Dic43—21no—
618C22⋊Dic43—21no—
619C22⋊Dic43C2×D411yescharacteristic
620C22⋊Dic43C2×D411yescharacteristic
621#10621885—22no—
622#10621885—41no—
623#10621883—22no—
624#10621883—22no—
625#10621883—22no—
626#10621883—41no—
627#10621883—41no—
628#10621883—41no—
629#10621883—41no—
630#10621883—41no—
631#10621882—41no—
632#10621882—41no—
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)⋊C4—21no—
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
647C4⋊Dic43—21no—
648C4⋊Dic43—21no—
649C4⋊Dic43—21no—
650C4⋊Dic43—21no—
651C4⋊Dic43—21no—
652C4⋊Dic43C2×D411yescharacteristic
653C4⋊Dic43C2×D411yescharacteristic
654C4⋊Dic43C2411yescharacteristic
655C4⋊Dic43C2411yescharacteristic
656C4⋊Dic43C2411yescharacteristic
657C4⋊Dic43C2411yescharacteristic
658Dic43⋊C4—21no—
659Dic43⋊C4—21no—
660Dic43⋊C4—21no—
661Dic43⋊C4—21no—
662Dic43⋊C4—21no—
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⋊C4C2×D411yescharacteristic
673Dic43⋊C4C2×D411yescharacteristic
674Dic43⋊C4C2×D411yescharacteristic
675Dic43⋊C4C2×D411yescharacteristic
676Dic43⋊C4C2×D411yescharacteristic
677Dic43⋊C4C2×D411yescharacteristic
678C4×Dic43—21no—
679C4×Dic43—21no—
680C4×Dic43—21no—
681C4×Dic43—21no—
682C4×Dic43—21no—
683C4×Dic43—21no—
684C4×Dic43—21no—
685C4×Dic43—21no—
686C4×Dic43—21no—
687C4×Dic43—21no—
688C4×Dic43C2×D411yescharacteristic
689C4×Dic43C2×D411yescharacteristic
690C4×Dic43C2411yescharacteristic
691C4×Dic43C2411yescharacteristic
692#10621877—41no—
693C2×C43⋊C8—41no—
694C2×C43⋊C8C2411yescharacteristic
695C2×C43⋊C8C2411yescharacteristic
696C2×C43⋊C8C2411yescharacteristic
697C2×C43⋊C8C2411yescharacteristic
698Dic172—22no—
699Dic172—41no—
700#10621873—22no—
701#10621873—41no—
702#10621872—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—
711C23×C43—81no—
712C23×C43—81no—
713C23×C43—81no—
714C23×C43C22×D411yescharacteristic
715C22×D43—21no—
716C22×D43—81no—
717C22×D43—81no—
718C22×D43—81no—
719C22×D43C22×D411yescharacteristic
720C22×D43C22×D411yescharacteristic
721Q8×C43—21no—
722Q8×C43—21no—
723D4×C43—21no—
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—81no—
734D4×C43—81no—
735D4×C43—81no—
736D4×C43—81no—
737D4×C43—81no—
738D4×C43—81no—
739D4×C43—81no—
740D4×C43—81no—
741D4×C43—81no—
742D4×C43—81no—
743C2×C4×C43—21no—
744C2×C4×C43—21no—
745C2×C4×C43—21no—
746C2×C4×C43—21no—
747C2×C4×C43—21no—
748C2×C4×C43—81no—
749C2×C4×C43—81no—
750C2×C4×C43—81no—
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—41no—
758C22⋊D43—41no—
759C22⋊D43—42no—
760C22⋊D43—42no—
761C22⋊D43—42no—
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—42no—
784C2×Dic43—42no—
785C2×Dic43—42no—
786C2×Dic43—81no—
787C2×Dic43—81no—
788C2×Dic43—81no—
789C2×Dic43—81no—
790C2×Dic43—81no—
791C2×Dic43C22×D411yescharacteristic
792C2×Dic43C22×D411yescharacteristic
793C2×Dic43C22×D411yescharacteristic
794C2×Dic43C22×D411yescharacteristic
795C2×Dic43C22×D411yescharacteristic
796C2×Dic43C22×D411yescharacteristic
797D172—21no—
798D172—21no—
799D172—41no—
800D172—81no—
801C4×D43—21no—
802C4×D43—21no—
803C4×D43—21no—
804C4×D43—21no—
805C4×D43—41no—
806C4×D43—41no—
807C4×D43—81no—
808C4×D43—81no—
809C4×D43—81no—
810Dic86—21no—
811Dic86—21no—
812Dic86—21no—
813Dic86—21no—
814Dic86—21no—
815Dic86—41no—
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—21no—
830C22×C43—21no—
831C22×C43—21no—
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×C43—41no—
845C22×C43—41no—
846C22×C43—41no—
847C22×C43—162no—
848C22×C43C23×D411yescharacteristic
849C2×D43—21no—
850C2×D43—21no—
851C2×D43—21no—
852C2×D43—21no—
853C2×D43—21no—
854C2×D43—21no—
855C2×D43—41no—
856C2×D43—41no—
857C2×D43—41no—
858C2×D43—162no—
859C4×C43—21no—
860C4×C43—21no—
861C4×C43—21no—
862C4×C43—21no—
863C4×C43—21no—
864C4×C43—41no—
865C4×C43—41no—
866C4×C43—41no—
867C4×C43C2×H(5,𝔽2)11yescharacteristic
868C4×C43#58511yescharacteristic
869Dic43—21no—
870Dic43—21no—
871Dic43—21no—
872Dic43—21no—
873Dic43—22no—
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#3399—431no—
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#3220D4311yescharacteristic, complemented
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—41no—
914C2×C43—81no—
915C2×C43—81no—
916C2×C43—81no—
917C2×C43—81no—
918C2×C43—81no—
919C2×C43#348811yescharacteristic
920C2×C43#358411yescharacteristic
921C2×C43#358511yescharacteristic
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—431no—
934#559—861no—
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#550—431no—
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—861no—
960#540C2×D4311yescharacteristic, complemented
961#538—861no—
962#538—861no—
963#537—861no—
964#535—431no—
965#535—861no—
966#535C2×D4311yescharacteristic
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#496—431no—
979#496C2×D4311yescharacteristic
980#495—431no—
981#493C2×D4311yescharacteristic, complemented
982#491—431no—
983#490—431no—
984#490C2×D4311yescharacteristic, complemented
985#489—431no—
986#488C2×D4311yescharacteristic
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#460—431no—
1041#459—431no—
1042#459—431no—
1043#459—431no—
1044#459C2×D4311yescharacteristic
1045#459C2×D4311yescharacteristic
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#449C2×D4311yescharacteristic, complemented
1059#449C2×D4311yescharacteristic, complemented
1060#448—431no—
1061#447—431no—
1062#447C2×D4311yescharacteristic
1063#447C2×D4311yescharacteristic
1064#446—431no—
1065#446—431no—
1066#442—431no—
1067#442—431no—
1068#442—431no—
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×SD16—431no—
1078#435—431no—
1079#435—431no—
1080#435—431no—
1081#435—431no—
1082C8×D4—431no—
1083C8×D4—431no—
1084#433—431no—
1085#433C2×D4311yescharacteristic, complemented
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—431no—
1098C2×#41—431no—
1099C2×#41—431no—
1100C2×#41—431no—
1101C2×#41—431no—
1102C2×#41—861no—
1103C2×#41—861no—
1104C2×#41C22×D4311yescharacteristic
1105C22×Q8—431no—
1106C22×D4—431no—
1107C22×D4—861no—
1108C22×D4C22×D4311yescharacteristic
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—431no—
1128C2×SD16—1722no—
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—431no—
1151#127—861no—
1152#127—861no—
1153#127—861no—
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—861no—
1170#125—861no—
1171#125—861no—
1172#125C22×D4311yescharacteristic
1173#124—431no—
1174#124—431no—
1175#124—431no—
1176#124—431no—
1177#124—431no—
1178#124—861no—
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—21no—
1220#121—431no—
1221#121—431no—
1222#121—431no—
1223#121—431no—
1224#121—431no—
1225#121—431no—
1226#121—431no—
1227#121—861no—
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#121C22×D4311yescharacteristic
1250#121C22×D4311yescharacteristic
1251#120—21no—
1252#120—21no—
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—431no—
1267C4×Q8—431no—
1268C4×Q8—861no—
1269C4×Q8—861no—
1270C4×Q8—861no—
1271C4×D4—431no—
1272C4×D4—431no—
1273C4×D4—431no—
1274C4×D4—431no—
1275C4×D4—431no—
1276C4×D4—431no—
1277C4×D4—431no—
1278C4×D4—431no—
1279C4×D4—431no—
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×D4—861no—
1293C4×D4—861no—
1294C4×D4—861no—
1295C4×D4C22×D4311yescharacteristic
1296C4×D4C22×D4311yescharacteristic
1297#117—431no—
1298#117—431no—
1299#117—431no—
1300#117—861no—
1301#117—861no—
1302#117—861no—
1303#117—861no—
1304#117—861no—
1305#117—861no—
1306#117—861no—
1307#117—861no—
1308#117C22×D4311yescharacteristic
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#106—431no—
1324C4⋊C8—431no—
1325C4⋊C8—431no—
1326C4⋊C8—431no—
1327C4⋊C8—431no—
1328C4⋊C8—431no—
1329C4⋊C8—431no—
1330C4⋊C8—431no—
1331C4⋊C8—431no—
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#103C22×D4311yescharacteristic
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#102C22×D4311yescharacteristic
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⋊C8C22×D4311yescharacteristic
1371C22⋊C8C22×D4311yescharacteristic
1372#97—431no—
1373#97—431no—
1374#97—431no—
1375#97C22×D4311yescharacteristic
1376C4×C8—431no—
1377C4×C8C22×D4311yescharacteristic
1378C24—21no—
1379C24—861no—
1380#41—41no—
1381#41—41no—
1382#41—862no—
1383#41—862no—
1384#41—3442no—
1385#41—3442no—
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—431no—
1398C2×Q8—861no—
1399C2×Q8—862no—
1400C2×Q8—861no—
1401C2×Q8—861no—
1402C2×Q8—1721no—
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—21no—
1413C2×D4—21no—
1414C2×D4—41no—
1415C2×D4—41no—
1416C2×D4—431no—
1417C2×D4—431no—
1418C2×D4—431no—
1419C2×D4—431no—
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—861no—
1435C2×D4—861no—
1436C2×D4—3442no—
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—431no—
1448C22×C4—431no—
1449C22×C4—431no—
1450C22×C4—431no—
1451C22×C4—861no—
1452C22×C4—861no—
1453C22×C4—861no—
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×C4C23×D4311yescharacteristic
1465Q16—862no—
1466Q16—862no—
1467Q16—1721no—
1468Q16—1721no—
1469SD16—41no—
1470SD16—41no—
1471SD16—862no—
1472SD16—862no—
1473SD16—862no—
1474SD16—862no—
1475SD16—1721no—
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—21no—
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—431no—
1516C4⋊C4—431no—
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⋊C4—861no—
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—431no—
1549C22⋊C4—431no—
1550C22⋊C4—431no—
1551C22⋊C4—431no—
1552C22⋊C4—431no—
1553C22⋊C4—431no—
1554C22⋊C4—431no—
1555C22⋊C4—431no—
1556C22⋊C4—861no—
1557C22⋊C4—861no—
1558C22⋊C4—861no—
1559C22⋊C4—861no—
1560C22⋊C4—861no—
1561C22⋊C4—861no—
1562C22⋊C4—861no—
1563C22⋊C4—861no—
1564C22⋊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⋊C4D4×D4311yescharacteristic
1583C22⋊C4D4×D4311yescharacteristic
1584C42—431no—
1585C42—431no—
1586C42—431no—
1587C42—431no—
1588C42—861no—
1589C42—861no—
1590C42—861no—
1591C42—861no—
1592C42—861no—
1593C42—861no—
1594C42—861no—
1595C42—861no—
1596C42—861no—
1597C42—861no—
1598C42C23×D4311yescharacteristic
1599C42C23×D4311yescharacteristic
1600C23—21no—
1601C23—21no—
1602C23—21no—
1603C23—21no—
1604C23—21no—
1605C23—81no—
1606C23—81no—
1607C23—81no—
1608C23—431no—
1609C23—431no—
1610C23—861no—
1611C23—3441no—
1612C23—3441no—
1613C23—3441no—
1614C23C2×D4×D4311yescharacteristic
1615Q8—21no—
1616Q8—21no—
1617Q8—432no—
1618Q8—861no—
1619Q8—861no—
1620Q8—861no—
1621Q8—861no—
1622Q8—861no—
1623Q8—3441no—
1624Q8—3441no—
1625Q8—1721no—
1626Q8—1722no—
1627D4—21no—
1628D4—21no—
1629D4—21no—
1630D4—21no—
1631D4—21no—
1632D4—21no—
1633D4—21no—
1634D4—21no—
1635D4—21no—
1636D4—21no—
1637D4—81no—
1638D4—81no—
1639D4—81no—
1640D4—81no—
1641D4—81no—
1642D4—81no—
1643D4—81no—
1644D4—81no—
1645D4—81no—
1646D4—81no—
1647D4—861no—
1648D4—861no—
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—1721no—
1663D4—1721no—
1664D4—1721no—
1665D4—1722no—
1666D4—1722no—
1667D4—1722no—
1668C2×C4—21no—
1669C2×C4—21no—
1670C2×C4—21no—
1671C2×C4—21no—
1672C2×C4—21no—
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—431no—
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—3441no—
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×C4—1722no—
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—21no—
1723C22—21no—
1724C22—21no—
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—41no—
1738C22—41no—
1739C22—41no—
1740C22—162no—
1741C22—861no—
1742C22—861no—
1743C22—861no—
1744C22—861no—
1745C22—861no—
1746C22—861no—
1747C22—1721no—
1748C22—1721no—
1749C22—1721no—
1750C22—6882no—
1751C22C22×D4×D4311yescharacteristic
1752C4—21no—
1753C4—21no—
1754C4—21no—
1755C4—21no—
1756C4—21no—
1757C4—41no—
1758C4—41no—
1759C4—41no—
1760C4—861no—
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#1458373411yescharacteristic
1775C2—41no—
1776C2—81no—
1777C2—81no—
1778C2—81no—
1779C2—81no—
1780C2—81no—
1781C2—3441no—
1782C2—1721no—
1783C2—1721no—
1784C2#1914826211yescharacteristic
1785C2#1914936311yescharacteristic
1786C2#1914937011yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3220C2
socleC22×C43C23×D4
hypercenter#3220D43
hypocenterC43#62026
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ #117 ◁ #3220

Complements

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

NH ≅ G/Ntype
1. #19148956C2semidirect
2. #19148698C2semidirect
3. #19147656C2semidirect
4. #19147642C2semidirect
5. #19147443C2semidirect
6. #19147321C2semidirect
7. #19146744C2semidirect
8. #19146729C2semidirect
9. #19146720C2semidirect
10. #19146575C2semidirect
11. #19146538C2semidirect
12. #19146429C2semidirect
13. #19146353C2semidirect
14. #19146306C2semidirect
15. #19146178C2semidirect
16. #19146148C2semidirect
17. #19146134C2semidirect
18. #19146094C2semidirect
19. #19146053C2semidirect
20. #19146000C2semidirect
21. #19145917C2semidirect
22. #19145686C2semidirect
23. #19145631C2semidirect
24. #19144869C2semidirect
25. #19144826C2semidirect
26. #19144743C2semidirect
27. #19144129C2semidirect
28. #19144112C2semidirect
29. #19144047C2semidirect
30. #19143729C2semidirect
31. C43×#3220C2semidirect
32. C2×#13063355C22semidirect
34. C2×#13063346C22semidirect
35. C2×#13063344C22semidirect
36. C2×#13063344C22semidirect
40. #14583635C22semidirect
42. #14583626C22semidirect
45. #14583613C22semidirect
49. #14583587C22semidirect
53. #14583569C22semidirect
56. #14583555C22semidirect
65. #14583514C22semidirect
74. #14583431C22semidirect
78. #14583378C22semidirect
79. #14583376C22semidirect
80. C4×#10621900C22semidirect
81. #14583290C22semidirect
83. #14583287C22semidirect
85. #14583266C22semidirect
88. #14583244C22semidirect
89. #14583241C22semidirect
90. #14583228C22semidirect
93. #14583222C22semidirect
95. #14583203C22semidirect
97. #14583197C22semidirect
98. #14583196C22semidirect
99. #14583195C22semidirect
100. #14583192C22semidirect
101. #14583189C22semidirect
102. #14583185C22semidirect
103. #14583179C22semidirect
104. #14583177C22semidirect
107. #14583143C22semidirect
108. #14583142C22semidirect
109. #14583139C22semidirect
113. #14583132C22semidirect
115. #14583127C22semidirect
116. #14583126C22semidirect
117. #14583122C22semidirect
118. #14583122C22semidirect
120. #14583119C22semidirect
123. #14583118C22semidirect
124. #14583118C22semidirect
125. #14583114C22semidirect
126. #14583114C22semidirect
129. #14583112C22semidirect
130. #14583112C22semidirect
131. #14583108C22semidirect
132. #14583102C22semidirect
134. #14583098C22semidirect
137. #14583096C22semidirect
138. #14583096C22semidirect
139. #14583096C22semidirect
141. #14583092C22semidirect
142. #14583091C22semidirect
143. #14583064C22semidirect
144. #14583062C22semidirect
145. #14583062C22semidirect
146. #14583058C22semidirect
147. #14583057C22semidirect
149. #14583043C22semidirect
152. #14583041C22semidirect
153. #14583041C22semidirect
154. #14583041C22semidirect
157. #14583029C22semidirect
158. #14583027C22semidirect
160. #14583011C22semidirect
161. #14583011C22semidirect
162. #14583007C22semidirect
163. #14583003C22semidirect
164. #14583001C22semidirect
166. #14582996C22semidirect
167. C4×Dic172C22semidirect
168. #14582990C22semidirect
169. C4×#10621873C22semidirect
170. SD16×Dic43C22semidirect
172. #14582973C22semidirect
173. #14582972C22semidirect
175. C8×D172C22semidirect
176. (C22⋊D43)⋊C8C22semidirect
177. #14582959C22semidirect
178. #14582955C22semidirect
179. #14582926C22semidirect
180. #14582924C22semidirect
181. C4⋊C8×D43C22semidirect
183. #14582897C22semidirect
184. #14582895C22semidirect
185. #14582894C22semidirect
186. #14582892C22semidirect
188. C43×#540C22semidirect
191. C43×#493C22semidirect
192. C43×#490C22semidirect
194. C43×#463C22semidirect
195. C43×#463C22semidirect
198. C43×#449C22semidirect
199. C43×#449C22semidirect
202. C43×#433C22semidirect
904. #3220D43semidirect
960. #540C2×D43semidirect
981. #493C2×D43semidirect
984. #490C2×D43semidirect
1030. #463C2×D43semidirect
1031. #463C2×D43semidirect
1058. #449C2×D43semidirect
1059. #449C2×D43semidirect
1085. #433C2×D43semidirect
1096. C43#62026semidirect

Maximal subgroups

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

subgroupindex
#191489562
#191486982
#191476562
#191476422
#191474432
#191473212
#191467442
#191467292
#191467202
#191465752
#191465382
#191464292
#191463532
#191463062
#191461782
#191461482
#191461342
#191460942
#191460532
#191460002
#191459172
#191456862
#191456312
#191448692
#191448262
#191447432
#191441292
#191441122
#191440472
#191437292
C43×#32202
#6202643