Finite Group Databasebeta

← #25974495

Subgroups — #25974495

Order 11008.

2046 conjugacy classes of subgroups.

The subgroup lattice has 1806 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19148311C211yesmaximal, characteristic, complemented
2#19148269C211yesmaximal, characteristic, complemented
3#19146892C211yesmaximal, characteristic, complemented
4#19146884C211yesmaximal, characteristic, complemented
5#19146812C211yesmaximal, characteristic, complemented
6#19146808C211yesmaximal, characteristic, complemented
7#19146756C211yesmaximal, characteristic, complemented
8#19146755C211yesmaximal, characteristic, complemented
9#19146663C211yesmaximal, characteristic, complemented
10#19146659C211yesmaximal, characteristic, complemented
11#19146645C211yesmaximal, characteristic, complemented
12#19146644C211yesmaximal, characteristic, complemented
13#19146575C211yesmaximal, characteristic, complemented
14#19146512C211yesmaximal, characteristic, complemented
15#19146508C211yesmaximal, characteristic, complemented
16#19146492C211yesmaximal, characteristic, complemented
17#19146491C211yesmaximal, characteristic, complemented
18#19144961C211yesmaximal, characteristic, complemented
19#19144579C211yesmaximal, characteristic, complemented
20#485×D43C211yesmaximal, characteristic, complemented
21#19144447C211yesmaximal, characteristic, complemented
22#19144263C211yesmaximal, characteristic, complemented
23#19144218C211yesmaximal, characteristic, complemented
24#19144140C211yesmaximal, characteristic, complemented
25#19143908C211yesmaximal, characteristic, complemented
26#19143810C211yesmaximal, characteristic, complemented
27#19143477C211yesmaximal, characteristic, complemented
28#19143321C211yesmaximal, characteristic, complemented
29#19143126C211yesmaximal, characteristic, complemented
30#19143110C211yesmaximal, characteristic, complemented
31C43×#3307C211yesmaximal, characteristic, complemented
32C2×#13063372C2211yescharacteristic
33C2×#41×D43C2211yescharacteristic
34C2×#13063354C2211yescharacteristic, complemented
35C2×#13063346C2211yescharacteristic
36C2×#13063344C2211yescharacteristic
37C2×#13063333C2211yescharacteristic, complemented
38C22×#10621872C2211yescharacteristic
39#14583619C2211yescharacteristic, complemented
40#14583617C2211yescharacteristic, complemented
41#14583616—21no—
42#14583614C2211yescharacteristic
43#14583613—21no—
44#14583613C2211yescharacteristic
45#14583598—21no—
46#14583596C2211yescharacteristic, complemented
47#14583587C2211yescharacteristic
48#14583586—21no—
49#14583584C2211yescharacteristic
50#14583564C2211yescharacteristic
51#14583562C2211yescharacteristic
52#14583559C2211yescharacteristic
53#14583558C2211yescharacteristic
54#14583550—21no—
55#14583548C2211yescharacteristic
56#14583547—21no—
57#14583544C2211yescharacteristic
58#14583541—21no—
59#14583538—21no—
60#14583537C2211yescharacteristic
61#14583529C2211yescharacteristic, complemented
62#14583485—21no—
63#14583481—21no—
64#14583479C2211yescharacteristic
65#14583478C2211yescharacteristic, complemented
66#14583476—21no—
67#14583474C2211yescharacteristic
68#14583471—21no—
69#14583432—21no—
70#14583431—21no—
71#14583409C2211yescharacteristic
72#14583408C2211yescharacteristic
73#14583407—21no—
74C2×#13063303—21no—
75C22⋊Q8×D43C2211yescharacteristic
76#14583380C2211yescharacteristic, complemented
77#14583378C2211yescharacteristic
78#14583378C2211yescharacteristic, complemented
79#117×D43C2211yescharacteristic
80#14583266C2211yescharacteristic, complemented
81#14583260C2211yescharacteristic, complemented
82#14583259C2211yescharacteristic, complemented
83#14583256C2211yescharacteristic, complemented
84#14583255C2211yescharacteristic, complemented
85#14583249C2211yescharacteristic, complemented
86#14583248C2211yescharacteristic, complemented
87#14583243C2211yescharacteristic
88#14583242C2211yescharacteristic
89#14583241C2211yescharacteristic, complemented
90#14583240C2211yescharacteristic, complemented
91#14583239C2211yescharacteristic
92#14583239C2211yescharacteristic, complemented
93#14583238C2211yescharacteristic
94#14583237C2211yescharacteristic, complemented
95#14583237C2211yescharacteristic, complemented
96#14583228C2211yescharacteristic, complemented
97#14583225C2211yescharacteristic, complemented
98#14583224C2211yescharacteristic, complemented
99#14583219C2211yescharacteristic, complemented
100#14583217C2211yescharacteristic, complemented
101#14583209C2211yescharacteristic, complemented
102#14583203C2211yescharacteristic, complemented
103#14583197C2211yescharacteristic, complemented
104#14583195C2211yescharacteristic, complemented
105#14583193C2211yescharacteristic, complemented
106#14583179C2211yescharacteristic, complemented
107#14583177C2211yescharacteristic, complemented
108#14583158C2211yescharacteristic
109#14583156C2211yescharacteristic
110#14583146C2211yescharacteristic, complemented
111#14583145C2211yescharacteristic, complemented
112#14583144C2211yescharacteristic
113#14583142C2211yescharacteristic
114#14583142C2211yescharacteristic, complemented
115#14583140C2211yescharacteristic, complemented
116#14583139C2211yescharacteristic, complemented
117#14583138C2211yescharacteristic, complemented
118#14583138C2211yescharacteristic, complemented
119#14583134C2211yescharacteristic, complemented
120#14583133C2211yescharacteristic, complemented
121#14583126C2211yescharacteristic, complemented
122#14583124C2211yescharacteristic, complemented
123#14583122C2211yescharacteristic, complemented
124#14583116C2211yescharacteristic, complemented
125#14583114C2211yescharacteristic, complemented
126#14583108C2211yescharacteristic, complemented
127#14583106C2211yescharacteristic, complemented
128#14583102C2211yescharacteristic, complemented
129#14583063C2211yescharacteristic
130#14583062C2211yescharacteristic, complemented
131#14583061C2211yescharacteristic
132#14583061C2211yescharacteristic, complemented
133#14583057C2211yescharacteristic, complemented
134#14583056C2211yescharacteristic
135#14583056C2211yescharacteristic, complemented
136#14583051C2211yescharacteristic
137#14583042C2211yescharacteristic
138#14583041C2211yescharacteristic, complemented
139#14583037C2211yescharacteristic, complemented
140#14583036C2211yescharacteristic
141#14583036C2211yescharacteristic, complemented
142#14583031C2211yescharacteristic
143#14583011C2211yescharacteristic, complemented
144#14583007C2211yescharacteristic, complemented
145#14583005C2211yescharacteristic, complemented
146#14582990C2211yescharacteristic, complemented
147#14582990C2211yescharacteristic, complemented
148C4×#10621883C2211yescharacteristic, complemented
149C4×#10621883C2211yescharacteristic, complemented
150#14582976C2211yescharacteristic
151#14582975C2211yescharacteristic
152#14582972C2211yescharacteristic
153#14582967C2211yescharacteristic
154#14582967C2211yescharacteristic, complemented
155D4×C43⋊C8C2211yescharacteristic, complemented
156C8×C22⋊D43C2211yescharacteristic, complemented
157#14582938C2211yescharacteristic, complemented
158#107×D43C2211yescharacteristic, complemented
159#106×D43C2211yescharacteristic, complemented
160#14582924C2211yescharacteristic, complemented
161#14582909C2211yescharacteristic, complemented
162#14582906C2211yescharacteristic
163#14582906C2211yescharacteristic
164#14582906C2211yescharacteristic, complemented
165#14582906C2211yescharacteristic, complemented
166#14582902C2211yescharacteristic
167#14582902C2211yescharacteristic
168#14582899C2211yescharacteristic
169#14582899C2211yescharacteristic
170#14582897C2211yescharacteristic
171#14582897C2211yescharacteristic
172#14582897C2211yescharacteristic, complemented
173#14582897C2211yescharacteristic, complemented
174#14582896C2211yescharacteristic
175#14582895C2211yescharacteristic
176#14582895C2211yescharacteristic, complemented
177#14582894C2211yescharacteristic
178#14582893C2211yescharacteristic
179#14582892C2211yescharacteristic
180#14582892C2211yescharacteristic, complemented
181C2×#13063248C2211yescharacteristic, complemented
182#103×D43C2211yescharacteristic, complemented
183#103×D43C2211yescharacteristic, complemented
184#103×D43C2211yescharacteristic, complemented
185#14582864C2211yescharacteristic, complemented
186C22⋊C8×D43C2211yescharacteristic
187#14582856C2211yescharacteristic, complemented
188C43×#553C2211yescharacteristic, complemented
189C43×#547C2211yescharacteristic
190C43×#491C2211yescharacteristic, complemented
191C43×#485C2211yescharacteristic, complemented
192C43×#483C2211yescharacteristic, complemented
193C43×#478C2211yescharacteristic, complemented
194C43×#468C2211yescharacteristic, complemented
195C43×#465C2211yescharacteristic, complemented
196C43×#461C2211yescharacteristic, complemented
197C43×#449C2211yescharacteristic
198C43×#449C2211yescharacteristic, complemented
199C43×#442C2211yescharacteristic, complemented
200C43×#435C2211yescharacteristic, complemented
201C43×#417C2211yescharacteristic, complemented
202C43×#416C2211yescharacteristic
203#13063372—24no—
204#13063372—42no—
205C2×#10621902C2311yescharacteristic
206C2×#10621898—21no—
207C2×#10621898—21no—
208C2×#10621898C2311yescharacteristic
209C2×#10621898C2311yescharacteristic
210C2×#10621900—21no—
211C2×#10621900—21no—
212C2×#10621900—21no—
213C2×#10621900C2311yescharacteristic
214C2×#10621900C2311yescharacteristic
215C2×#10621900C2311yescharacteristic
216#41×D43—24no—
217#41×D43—42no—
218C22×Dic86—21no—
219C22×Dic86C2311yescharacteristic
220C2×Q8×D43C2311yescharacteristic
221C2×Q8×D43C2311yescharacteristic
222C2×Q8×D43C2311yescharacteristic
223C2×D4×D43—21no—
224C2×D4×D43C2311yescharacteristic
225C22×C4×D43—21no—
226C22×C4×D43C2311yescharacteristic
227#13063354—42no—
228#13063346—42no—
229#13063344—24no—
230C2×Dic172C2311yescharacteristic
231C2×Dic172C2311yescharacteristic
232C2×#10621885C2311yescharacteristic
233C2×#10621885C2311yescharacteristic
234C2×#10621873C2311yescharacteristic
235C2×#10621883C2311yescharacteristic
236C2×#10621883C2311yescharacteristic
237C2×#10621883C2311yescharacteristic
238C2×#10621882C2311yescharacteristic
239#13063333—42no—
240C2×#10621872—42no—
241C2×#10621872C2311yescharacteristic
242C2×#10621872C2311yescharacteristic
243C2×#10621872C2311yescharacteristic
244C2×#10621872C2311yescharacteristic
245C2×#10621872C2311yescharacteristic
246C22×C43⋊C8C2311yescharacteristic
247C22×C43⋊C8C2311yescharacteristic
248C2×C8×D43C2311yescharacteristic
249C2×C8×D43C2311yescharacteristic
250C2×C8×D43C2311yescharacteristic
251#13063325C2311yescharacteristic
252#13063324—21no—
253#13063324—21no—
254#13063324—21no—
255#13063324C2311yescharacteristic
256#13063323C2311yescharacteristic
257#13063320—21no—
258#13063320—21no—
259#13063319—21no—
260#13063318—21no—
261#13063318—21no—
262#13063318—21no—
263#13063318—21no—
264#13063316—21no—
265#13063316C2311yescharacteristic
266#13063315—21no—
267#13063315—21no—
268#13063314C2311yescharacteristic
269#13063313C2311yescharacteristic
270#13063312—21no—
271#13063312—21no—
272#13063311—21no—
273#13063311—21no—
274#13063311—21no—
275#13063311—21no—
276#13063311—21no—
277#13063311—21no—
278#13063310—21no—
279#13063310—21no—
280#13063310—21no—
281#13063310D411yescharacteristic
282#13063309—21no—
283#13063308—21no—
284#13063308—21no—
285#13063308—21no—
286#13063307—21no—
287#13063307D411yescharacteristic
288#13063306—21no—
289#13063306—21no—
290#13063305—21no—
291#13063305C2311yescharacteristic
292#13063305C2311yescharacteristic
293#13063305C2311yescharacteristic
294#13063304C2311yescharacteristic
295#13063304C2311yescharacteristic
296#13063304C2311yescharacteristic
297#13063303—21no—
298#13063303—21no—
299#13063303—21no—
300#13063303—21no—
301#13063303—21no—
302#13063303—21no—
303#13063303—21no—
304#13063303—21no—
305#13063303—21no—
306#13063303—21no—
307#13063303D411yescharacteristic
308#13063302—21no—
309#13063302—21no—
310#13063302—21no—
311#13063302D411yescharacteristic
312#13063301C2311yescharacteristic
313#13063301C2311yescharacteristic
314#13063300—21no—
315#13063300C2311yescharacteristic
316#13063299—21no—
317#13063299—21no—
318#13063299C2311yescharacteristic
319#13063298—21no—
320#13063298—21no—
321#13063298—21no—
322#13063298—21no—
323#13063298D411yescharacteristic
324#13063297—21no—
325#13063297—21no—
326#13063297—21no—
327#13063297—21no—
328#13063297—21no—
329#13063297D411yescharacteristic
330#13063296—21no—
331#13063296—21no—
332#13063296C2311yescharacteristic
333#13063296C2311yescharacteristic
334#13063295—21no—
335#13063295D411yescharacteristic
336#13063293—21no—
337#13063293—21no—
338#13063293D411yescharacteristic
339C4×Dic86—21no—
340C4×Dic86C2311yescharacteristic
341C4×Dic86C2311yescharacteristic
342#13063290—21no—
343#13063290—21no—
344#13063290C2311yescharacteristic
345#13063290C2311yescharacteristic
346C4×D172C2311yescharacteristic
347D4×Dic43—21no—
348D4×Dic43C2311yescharacteristic
349D4×Dic43C2311yescharacteristic
350#13063287—21no—
351#13063287—21no—
352#13063287—21no—
353C4×C22⋊D43—21no—
354C4×C22⋊D43—21no—
355C4×C22⋊D43—21no—
356C4×C22⋊D43—21no—
357C4×C22⋊D43C2311yescharacteristic
358C4×C22⋊D43C2311yescharacteristic
359(C22⋊D43)⋊C4—21no—
360(C22⋊D43)⋊C4—21no—
361(C22⋊D43)⋊C4—21no—
362(C22⋊D43)⋊C4—21no—
363(C22⋊D43)⋊C4—21no—
364(C22⋊D43)⋊C4—21no—
365#13063284—21no—
366#13063284—21no—
367#13063284C2311yescharacteristic
368#13063284C2311yescharacteristic
369#13063283—21no—
370#13063283C2311yescharacteristic
371#13063283C2311yescharacteristic
372#13063283C2311yescharacteristic
373#13063283C2311yescharacteristic
374#13063282—21no—
375#13063282C2311yescharacteristic
376#13063281—21no—
377#13063281—21no—
378#13063281—21no—
379#13063281—21no—
380C2×Dic43⋊C4—21no—
381C2×Dic43⋊C4—21no—
382C2×Dic43⋊C4—21no—
383C4⋊C4×D43—21no—
384C4⋊C4×D43C2311yescharacteristic
385C4⋊C4×D43C2311yescharacteristic
386C4⋊C4×D43C2311yescharacteristic
387C4⋊C4×D43C2311yescharacteristic
388C2×(C2×D43)⋊C4—21no—
389C2×(C2×D43)⋊C4—21no—
390C22⋊C4×D43—21no—
391C22⋊C4×D43—21no—
392C42×D43—21no—
393#13063259C2311yescharacteristic
394#13063259C2311yescharacteristic
395#13063258C2311yescharacteristic
396#13063258C2311yescharacteristic
397#13063258C2311yescharacteristic
398#13063257C2311yescharacteristic
399#13063256C2311yescharacteristic
400#13063256C2311yescharacteristic
401#13063256C2311yescharacteristic
402C4⋊(C43⋊C8)C2311yescharacteristic
403Dic43⋊C8C2311yescharacteristic
404Dic43⋊C8C2311yescharacteristic
405#13063250C2311yescharacteristic
406#13063250C2311yescharacteristic
407#13063250C2311yescharacteristic
408#13063250C2311yescharacteristic
409#13063250C2311yescharacteristic
410#13063250C2311yescharacteristic
411#13063250C2311yescharacteristic
412#13063249C2311yescharacteristic
413#13063249C2311yescharacteristic
414#13063249C2311yescharacteristic
415#13063249C2311yescharacteristic
416#13063249C2311yescharacteristic
417#13063249C2311yescharacteristic
418#13063248C2311yescharacteristic
419#13063248C2311yescharacteristic
420#13063248C2311yescharacteristic
421#13063248C2311yescharacteristic
422#13063248C2311yescharacteristic
423#13063248C2311yescharacteristic
424#13063248C2311yescharacteristic
425#13063247C2311yescharacteristic
426#13063247C2311yescharacteristic
427#13063247C2311yescharacteristic
428#13063246C2311yescharacteristic
429#13063246C2311yescharacteristic
430#13063246C2311yescharacteristic
431#13063246C2311yescharacteristic
432#13063245C2311yescharacteristic
433#13063245C2311yescharacteristic
434#13063245C2311yescharacteristic
435C22⋊(C43⋊C8)C2311yescharacteristic
436C22⋊(C43⋊C8)C2311yescharacteristic
437(C2×D43)⋊C8C2311yescharacteristic
438(C2×D43)⋊C8C2311yescharacteristic
439(C2×D43)⋊C8C2311yescharacteristic
440(C2×D43)⋊C8C2311yescharacteristic
441#13063235C2311yescharacteristic
442C4×C43⋊C8C2311yescharacteristic
443C8×Dic43C2311yescharacteristic
444C2×#41×C43C2311yescharacteristic
445C2×#41×C43C2311yescharacteristic
446C2×SD16×C43C2311yescharacteristic
447C2×SD16×C43C2311yescharacteristic
448C2×D8×C43C2311yescharacteristic
449C2×M16×C43C2311yescharacteristic
450C22×C8×C43C2311yescharacteristic
451C4⋊Q8×C43C2311yescharacteristic
452#126×C43—21no—
453#125×C43C2311yescharacteristic
454#123×C43—21no—
455#123×C43—21no—
456#123×C43—21no—
457C22⋊Q8×C43C2311yescharacteristic
458C22⋊Q8×C43C2311yescharacteristic
459#121×C43—21no—
460#121×C43—21no—
461#121×C43C2311yescharacteristic
462#121×C43C2311yescharacteristic
463C4×D4×C43—21no—
464C4×D4×C43C2311yescharacteristic
465C4×D4×C43C2311yescharacteristic
466C4×D4×C43C2311yescharacteristic
467#117×C43C2311yescharacteristic
468C2×C4⋊C4×C43—21no—
469C2×C4⋊C4×C43C2311yescharacteristic
470#107×C43C2311yescharacteristic
471#106×C43C2311yescharacteristic
472#106×C43C2311yescharacteristic
473C4⋊C8×C43C2311yescharacteristic
474#103×C43C2311yescharacteristic
475#103×C43C2311yescharacteristic
476#103×C43C2311yescharacteristic
477#103×C43C2311yescharacteristic
478#103×C43C2311yescharacteristic
479#103×C43C2311yescharacteristic
480#102×C43C2311yescharacteristic
481#102×C43C2311yescharacteristic
482#102×C43C2311yescharacteristic
483#102×C43C2311yescharacteristic
484C22⋊C8×C43C2311yescharacteristic
485C22⋊C8×C43C2311yescharacteristic
486#97×C43C2311yescharacteristic
487C23×D43—21no—
488C23×D43C2×D411yescharacteristic
489#41×C43—22no—
490#41×C43—22no—
491#41×C43—41no—
492#41×C43—41no—
493C2×Q8×C43C2411yescharacteristic
494C2×Q8×C43C2411yescharacteristic
495C2×D4×C43—21no—
496C2×D4×C43—21no—
497C2×D4×C43—21no—
498C2×D4×C43—21no—
499C2×D4×C43C2×D411yescharacteristic
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—
507C22×C4×C43C2411yescharacteristic
508C22×C4×C43C2411yescharacteristic
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⋊D43C2×D411yescharacteristic
518C2×C22⋊D43C2×D411yescharacteristic
519C2×C22⋊D43C2×D411yescharacteristic
520C2×C22⋊D43C2×D411yescharacteristic
521C22×Dic43—21no—
522C22×Dic43—21no—
523C22×Dic43—21no—
524C22×Dic43—21no—
525C22×Dic43—21no—
526C22×Dic43—21no—
527C22×Dic43C2×D411yescharacteristic
528#10621902—22no—
529#10621902—22no—
530Q8×D43—22no—
531Q8×D43—22no—
532Q8×D43—22no—
533Q8×D43—22no—
534Q8×D43—41no—
535Q8×D43—41no—
536#10621900—22no—
537#10621900—22no—
538#10621900—22no—
539#10621900—22no—
540#10621900—41no—
541#10621900—44no—
542#10621900—44no—
543#10621900—44no—
544#10621900#4114yes—
545D4×D43—22no—
546D4×D43—44no—
547D4×D43—41no—
548#10621898—22no—
549#10621898—22no—
550#10621898—22no—
551#10621898—41no—
552#10621898—44no—
553#10621898—44no—
554C2×D172—21no—
555C2×D172—21no—
556C2×D172C2×D411yescharacteristic
557C2×D172C2×D411yescharacteristic
558C2×D172C2411yescharacteristic
559C2×C4×D43—22no—
560C2×C4×D43—22no—
561C2×C4×D43—21no—
562C2×C4×D43—21no—
563C2×C4×D43—21no—
564C2×C4×D43—21no—
565C2×C4×D43—21no—
566C2×C4×D43—21no—
567C2×C4×D43—21no—
568C2×C4×D43—21no—
569C2×C4×D43—21no—
570C2×C4×D43—44no—
571C2×C4×D43C2×D411yescharacteristic
572C2×C4×D43C2×D411yescharacteristic
573C2×C4×D43C2411yescharacteristic
574C2×C4×D43C2411yescharacteristic
575C2×C4×D43C2411yescharacteristic
576C2×Dic86—22no—
577C2×Dic86—21no—
578C2×Dic86—21no—
579C2×Dic86—21no—
580C2×Dic86—21no—
581C2×Dic86—21no—
582C2×Dic86—21no—
583C2×Dic86—41no—
584C2×Dic86—44no—
585C2×Dic86C2×D411yescharacteristic
586C2×Dic86C2411yescharacteristic
587C2×Dic86C2411yescharacteristic
588C2×Dic86C2411yescharacteristic
589SD16×C43—41no—
590SD16×C43—41no—
591D8×C43—22no—
592M16×C43—41no—
593C2×C8×C43—41no—
594C2×C8×C43C2411yescharacteristic
595C2×C8×C43C2411yescharacteristic
596C2×C8×C43C2411yescharacteristic
597C2×C8×C43C2411yescharacteristic
598C4⋊C4×C43—21no—
599C4⋊C4×C43—21no—
600C4⋊C4×C43—21no—
601C4⋊C4×C43—21no—
602C4⋊C4×C43—21no—
603C4⋊C4×C43—21no—
604C4⋊C4×C43—21no—
605C4⋊C4×C43C2×D411yescharacteristic
606C4⋊C4×C43C2411yescharacteristic
607C4⋊C4×C43C2411yescharacteristic
608C4⋊C4×C43C2411yescharacteristic
609C4⋊C4×C43C2411yescharacteristic
610C22⋊C4×C43—21no—
611C22⋊C4×C43—21no—
612C22⋊C4×C43—21no—
613C22⋊C4×C43—21no—
614C22⋊C4×C43—21no—
615C22⋊C4×C43—21no—
616C22⋊C4×C43—21no—
617C22⋊C4×C43C2×D411yescharacteristic
618C22⋊C4×C43C2×D411yescharacteristic
619C42×C43—21no—
620C42×C43C2411yescharacteristic
621C22⋊Dic43—21no—
622C22⋊Dic43—21no—
623C22⋊Dic43—21no—
624C22⋊Dic43—21no—
625C22⋊Dic43—21no—
626C22⋊Dic43—21no—
627C22⋊Dic43—21no—
628C22⋊Dic43—21no—
629C22⋊Dic43—21no—
630C22⋊Dic43C2×D411yescharacteristic
631C22⋊Dic43C2×D411yescharacteristic
632#10621885—41no—
633#10621885—41no—
634#10621883—22no—
635#10621883—22no—
636#10621883—41no—
637#10621882—41no—
638(C2×D43)⋊C4—21no—
639(C2×D43)⋊C4—21no—
640(C2×D43)⋊C4—21no—
641(C2×D43)⋊C4—21no—
642(C2×D43)⋊C4—21no—
643(C2×D43)⋊C4—21no—
644(C2×D43)⋊C4—21no—
645(C2×D43)⋊C4—21no—
646(C2×D43)⋊C4—21no—
647(C2×D43)⋊C4—21no—
648(C2×D43)⋊C4—21no—
649(C2×D43)⋊C4—21no—
650(C2×D43)⋊C4—21no—
651(C2×D43)⋊C4—21no—
652(C2×D43)⋊C4—21no—
653(C2×D43)⋊C4C2×D411yescharacteristic
654(C2×D43)⋊C4C2×D411yescharacteristic
655(C2×D43)⋊C4C2×D411yescharacteristic
656(C2×D43)⋊C4C2×D411yescharacteristic
657(C2×D43)⋊C4C2×D411yescharacteristic
658(C2×D43)⋊C4C2×D411yescharacteristic
659C4⋊Dic43—21no—
660C4⋊Dic43—21no—
661C4⋊Dic43—21no—
662C4⋊Dic43—21no—
663C4⋊Dic43—21no—
664C4⋊Dic43C2×D411yescharacteristic
665C4⋊Dic43C2411yescharacteristic
666C4⋊Dic43C2411yescharacteristic
667C4⋊Dic43C2411yescharacteristic
668C4⋊Dic43C2411yescharacteristic
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⋊C4—21no—
678Dic43⋊C4—21no—
679Dic43⋊C4—21no—
680Dic43⋊C4—21no—
681Dic43⋊C4—21no—
682Dic43⋊C4—21no—
683Dic43⋊C4—21no—
684Dic43⋊C4—21no—
685Dic43⋊C4—21no—
686Dic43⋊C4C2×D411yescharacteristic
687Dic43⋊C4C2×D411yescharacteristic
688Dic43⋊C4C2×D411yescharacteristic
689Dic43⋊C4C2×D411yescharacteristic
690C4×Dic43—21no—
691C4×Dic43—21no—
692C4×Dic43—21no—
693C4×Dic43—21no—
694C4×Dic43—21no—
695C4×Dic43—21no—
696C4×Dic43—21no—
697C4×Dic43—21no—
698C4×Dic43—21no—
699C4×Dic43—21no—
700C4×Dic43C2411yescharacteristic
701C2×C43⋊C8—41no—
702C2×C43⋊C8—41no—
703C2×C43⋊C8C2411yescharacteristic
704C2×C43⋊C8C2411yescharacteristic
705C2×C43⋊C8C2411yescharacteristic
706C2×C43⋊C8C2411yescharacteristic
707Dic172—22no—
708Dic172—41no—
709#10621873—41no—
710#10621872—22no—
711#10621872—22no—
712#10621872—41no—
713#10621872—41no—
714#10621872—41no—
715C8×D43—22no—
716C8×D43—22no—
717C8×D43—41no—
718C23×C43—21no—
719C23×C43—21no—
720C23×C43C22×D411yescharacteristic
721C23×C43C22×D411yescharacteristic
722C22×D43—22no—
723C22×D43—21no—
724C22×D43—41no—
725C22×D43—41no—
726C22×D43—42no—
727C22×D43—42no—
728C22×D43—81no—
729C22×D43C22×D411yescharacteristic
730C22×D43C22×D411yescharacteristic
731C22×D43C22×D411yescharacteristic
732Q8×C43—21no—
733Q8×C43—21no—
734Q8×C43—21no—
735Q8×C43—21no—
736D4×C43—21no—
737D4×C43—21no—
738D4×C43—21no—
739D4×C43—41no—
740D4×C43—42no—
741D4×C43—42no—
742D4×C43—81no—
743D4×C43—81no—
744D4×C43C2×#4112yes—
745C2×C4×C43—21no—
746C2×C4×C43—21no—
747C2×C4×C43—21no—
748C2×C4×C43—21no—
749C2×C4×C43—21no—
750C2×C4×C43—21no—
751C2×C4×C43—21no—
752C2×C4×C43—21no—
753C2×C4×C43—21no—
754C2×C4×C43—21no—
755C2×C4×C43—42no—
756C2×C4×C43—42no—
757C2×C4×C43—81no—
758C2×C4×C43—81no—
759C2×C4×C43—81no—
760C2×C4×C43C22×D411yescharacteristic
761C2×C4×C43C22×D411yescharacteristic
762C2×C4×C43C22×D411yescharacteristic
763C2×C4×C43C22×D411yescharacteristic
764C2×C4×C43C2511yescharacteristic
765C22⋊D43—22no—
766C22⋊D43—24no—
767C22⋊D43—22no—
768C22⋊D43—41no—
769C22⋊D43—41no—
770C22⋊D43—42no—
771C22⋊D43—42no—
772C22⋊D43—42no—
773C22⋊D43—42no—
774C22⋊D43—81no—
775C22⋊D43—81no—
776C22⋊D43—81no—
777C2×Dic43—21no—
778C2×Dic43—24no—
779C2×Dic43—22no—
780C2×Dic43—21no—
781C2×Dic43—21no—
782C2×Dic43—21no—
783C2×Dic43—21no—
784C2×Dic43—21no—
785C2×Dic43—21no—
786C2×Dic43—42no—
787C2×Dic43—42no—
788C2×Dic43—42no—
789C2×Dic43—81no—
790C2×Dic43—81no—
791C2×Dic43C22×D411yescharacteristic
792C2×Dic43C22×D411yescharacteristic
793C2×Dic43C22×D411yescharacteristic
794C2×Dic43C22×D411yescharacteristic
795C2×Dic43C22×D411yescharacteristic
796D172—22no—
797D172—21no—
798D172—21no—
799D172—41no—
800D172—42no—
801D172—81no—
802C4×D43—22no—
803C4×D43—21no—
804C4×D43—21no—
805C4×D43—21no—
806C4×D43—21no—
807C4×D43—22no—
808C4×D43—42no—
809C4×D43—42no—
810C4×D43—42no—
811C4×D43—42no—
812C4×D43—42no—
813C4×D43—81no—
814C4×D43—81no—
815C4×D43—81no—
816C4×D43—81no—
817C4×D43C2×#4112yes—
818C4×D43H(5,𝔽2)12yes—
819Dic86—21no—
820Dic86—22no—
821Dic86—21no—
822Dic86—21no—
823Dic86—21no—
824Dic86—21no—
825Dic86—42no—
826Dic86—42no—
827Dic86—42no—
828Dic86—42no—
829Dic86—81no—
830Dic86—81no—
831Dic86C2×#4112yes—
832C8×C43—21no—
833C8×C43—21no—
834C8×C43—21no—
835C8×C43—21no—
836C43⋊C8—21no—
837C43⋊C8—21no—
838C43⋊C8—21no—
839C43⋊C8—21no—
840#61197—431nomaximal, Sylow
841C22×C43—21no—
842C22×C43—21no—
843C22×C43—21no—
844C22×C43—21no—
845C22×C43—21no—
846C22×C43—22no—
847C22×C43—21no—
848C22×C43—41no—
849C22×C43—41no—
850C22×C43—41no—
851C22×C43—41no—
852C22×C43—41no—
853C22×C43C23×D411yescharacteristic
854C2×D43—21no—
855C2×D43—21no—
856C2×D43—21no—
857C2×D43—21no—
858C2×D43—21no—
859C2×D43—21no—
860C2×D43—21no—
861C2×D43—21no—
862C2×D43—41no—
863C2×D43—41no—
864C2×D43—41no—
865C2×D43—82no—
866C2×D43—84no—
867C2×D43#54612yes—
868C4×C43—21no—
869C4×C43—21no—
870C4×C43—21no—
871C4×C43—21no—
872C4×C43—41no—
873C4×C43—41no—
874C4×C43—41no—
875C4×C43—41no—
876C4×C43—41no—
877C4×C43—41no—
878C4×C43C22×#4111yescharacteristic
879C4×C43C2×H(5,𝔽2)11yescharacteristic
880Dic43—21no—
881Dic43—21no—
882Dic43—21no—
883Dic43—22no—
884Dic43—21no—
885Dic43—41no—
886Dic43—41no—
887Dic43—41no—
888Dic43—41no—
889Dic43—41no—
890Dic43—41no—
891Dic43#54612yes—
892#3493—431no—
893#3489—431no—
894#3329—431no—
895#3329—431no—
896#3323—431no—
897#3323—431no—
898#3319—431no—
899#3319—431no—
900#3313—431no—
901#3313—431no—
902#3312—431no—
903#3312—431no—
904#3307—431no—
905#3307D4311yescharacteristic, complemented
906#3302—431no—
907#3302—431no—
908#3301—431no—
909#3301—431no—
910#3137—431no—
911#3099—431no—
912C2×#485—431no—
913#3083—431no—
914#3061—431no—
915#3056—431no—
916#3046—431no—
917#3013—431no—
918#3002—431no—
919#2952—431no—
920#2933—431no—
921#2898—431no—
922#2896—431no—
923C2×C43—41no—
924C2×C43—42no—
925C2×C43—41no—
926C2×C43—81no—
927C2×C43C2×#54611yescharacteristic
928C2×C43#358411yescharacteristic
929C2×C43#358611yescharacteristic
930D43—22no—
931D43—41no—
932D43—41no—
933D43—81no—
934C2×2−1+4—431no—
935C22×#41—431no—
936C2×#137—431no—
937C2×#135—431no—
938C2×#135—431no—
939C2×#131—431no—
940C22×M16—431no—
941#556—431no—
942#556—431no—
943#556—861no—
944#555—431no—
945#555—431no—
946#555—861no—
947#553—431no—
948#553—861no—
949#553C2×D4311yescharacteristic, complemented
950#552—431no—
951#552—431no—
952#552—861no—
953D4×Q8—431no—
954D4×Q8—431no—
955#548—431no—
956#548—431no—
957#547—431no—
958#547—861no—
959#547—861no—
960#547C2×D4311yescharacteristic
961#546—431no—
962#546—431no—
963#546—861no—
964#546—861no—
965#544—431no—
966#538—861no—
967#538—861no—
968#537—431no—
969#537—431no—
970#537—861no—
971#536—431no—
972#536—861no—
973#529—861no—
974#529—861no—
975#525—431no—
976#525—431no—
977#525—861no—
978C2×C22⋊Q8—431no—
979C2×C22⋊Q8—861no—
980#520—431no—
981#520—431no—
982#520—431no—
983C2×#117—431no—
984#491—431no—
985#491C2×D4311yescharacteristic, complemented
986#489—431no—
987#489—431no—
988#488—431no—
989#488—431no—
990#487—431no—
991#487—431no—
992#485—431no—
993#485—431no—
994#485—431no—
995#485—431no—
996#485—431no—
997#485—431no—
998#485—431no—
999#485—431no—
1000#485—431no—
1001#485C2×D4311yescharacteristic, complemented
1002#483—431no—
1003#483C2×D4311yescharacteristic, complemented
1004#482—431no—
1005#482—431no—
1006#481—431no—
1007#481—431no—
1008#479—431no—
1009#479—431no—
1010#478—431no—
1011#478C2×D4311yescharacteristic, complemented
1012#477—431no—
1013#477—431no—
1014#474—431no—
1015#474—431no—
1016#470—431no—
1017#470—431no—
1018#468—431no—
1019#468—431no—
1020#468—431no—
1021#468—431no—
1022#468—431no—
1023#468C2×D4311yescharacteristic, complemented
1024#467—431no—
1025#467—431no—
1026#467—431no—
1027#467—431no—
1028#466—431no—
1029#466—431no—
1030#465—431no—
1031#465C2×D4311yescharacteristic, complemented
1032#464—431no—
1033#464—431no—
1034#463—431no—
1035#463—431no—
1036#462—431no—
1037#462—431no—
1038#461—431no—
1039#461C2×D4311yescharacteristic, complemented
1040#452—431no—
1041#452—431no—
1042#452—431no—
1043#452—431no—
1044#451—431no—
1045#451—431no—
1046#451—431no—
1047#450—431no—
1048#449—431no—
1049#449—431no—
1050#449C2×D4311yescharacteristic
1051#449C2×D4311yescharacteristic, complemented
1052#448—431no—
1053#448—431no—
1054#448—431no—
1055#447—431no—
1056#442—431no—
1057#442C2×D4311yescharacteristic, complemented
1058#441—431no—
1059#441—431no—
1060C4×SD16—431no—
1061C4×SD16—431no—
1062C4×SD16—431no—
1063C4×SD16—431no—
1064#436—431no—
1065#436—431no—
1066#435—431no—
1067#435—431no—
1068#435—431no—
1069#435C2×D4311yescharacteristic, complemented
1070C8×D4—431no—
1071C8×D4—431no—
1072#428—431no—
1073C2×#107—431no—
1074C2×#106—431no—
1075#424—431no—
1076#419—431no—
1077#419—431no—
1078#419—431no—
1079#419—431no—
1080#419—431no—
1081#418—431no—
1082#418—431no—
1083#417—431no—
1084#417—431no—
1085#417—431no—
1086#417—431no—
1087#417—431no—
1088#417—431no—
1089#417C2×D4311yescharacteristic, complemented
1090#416—431no—
1091#416—431no—
1092#416—431no—
1093#416—431no—
1094#416—431no—
1095#416—431no—
1096#416—431no—
1097#416C2×D4311yescharacteristic
1098C2×#103—431no—
1099C2×#103—431no—
1100C2×#103—431no—
1101C2×#103—431no—
1102#408—431no—
1103C2×C22⋊C8—431no—
1104#405—431no—
1105C43#6119711yescharacteristic, complemented, Sylow
11062−1+4—864no—
11072−1+4—1722no—
1108C2×#41—431no—
1109C2×#41—431no—
1110C2×#41—431no—
1111C2×#41—431no—
1112C2×#41—431no—
1113C2×#41—431no—
1114C2×#41—861no—
1115C2×#41—861no—
1116C2×#41—861no—
1117C2×#41—861no—
1118C2×#41—861no—
1119C2×#41—864no—
1120C2×#41—1722no—
1121C2×#41C22×D4311yescharacteristic
1122C2×#41C22×D4311yescharacteristic
1123C22×Q8—431no—
1124C22×Q8—431no—
1125C22×Q8—431no—
1126C22×Q8—431no—
1127C22×Q8—861no—
1128C22×D4—431no—
1129C22×D4—861no—
1130C23×C4—431no—
1131C23×C4—861no—
1132#137—1722no—
1133#135—864no—
1134#135—1722no—
1135C2×Q16—431no—
1136C2×Q16—431no—
1137C2×Q16—431no—
1138C2×Q16—431no—
1139C2×SD16—431no—
1140C2×SD16—431no—
1141C2×SD16—431no—
1142C2×SD16—431no—
1143C2×SD16C22×D4311yescharacteristic
1144C2×SD16C22×D4311yescharacteristic
1145C2×D8—431no—
1146C2×D8C22×D4311yescharacteristic
1147#131—1722no—
1148C2×M16—431no—
1149C2×M16—431no—
1150C2×M16—431no—
1151C2×M16—431no—
1152C2×M16—431no—
1153C2×M16—1722no—
1154C2×M16C22×D4311yescharacteristic
1155C22×C8—431no—
1156C22×C8—431no—
1157C22×C8—431no—
1158C22×C8—431no—
1159C22×C8—431no—
1160C22×C8C22×D4311yescharacteristic
1161C4⋊Q8—431no—
1162C4⋊Q8—431no—
1163C4⋊Q8—431no—
1164C4⋊Q8—861no—
1165C4⋊Q8—861no—
1166C4⋊Q8—861no—
1167C4⋊Q8C22×D4311yescharacteristic
1168#126—21no—
1169#126—861no—
1170#126—861no—
1171#126—861no—
1172#126—861no—
1173#126—861no—
1174#126—861no—
1175#126—861no—
1176#125—431no—
1177#125—861no—
1178#125—861no—
1179#125—861no—
1180#125C22×D4311yescharacteristic
1181#124—431no—
1182#124—431no—
1183#124—861no—
1184#124—861no—
1185#124—861no—
1186#124—861no—
1187#124—861no—
1188#124—861no—
1189#124—861no—
1190#124—861no—
1191#123—21no—
1192#123—21no—
1193#123—21no—
1194#123—431no—
1195#123—431no—
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—
1205#123—861no—
1206C22⋊Q8—431no—
1207C22⋊Q8—431no—
1208C22⋊Q8—431no—
1209C22⋊Q8—431no—
1210C22⋊Q8—431no—
1211C22⋊Q8—431no—
1212C22⋊Q8—431no—
1213C22⋊Q8—431no—
1214C22⋊Q8—431no—
1215C22⋊Q8—431no—
1216C22⋊Q8—861no—
1217C22⋊Q8—861no—
1218C22⋊Q8—861no—
1219C22⋊Q8—861no—
1220C22⋊Q8—861no—
1221C22⋊Q8—861no—
1222C22⋊Q8—861no—
1223C22⋊Q8—861no—
1224C22⋊Q8—861no—
1225C22⋊Q8—861no—
1226C22⋊Q8—861no—
1227C22⋊Q8—861no—
1228C22⋊Q8—861no—
1229C22⋊Q8—861no—
1230C22⋊Q8C22×D4311yescharacteristic
1231C22⋊Q8C22×D4311yescharacteristic
1232#121—21no—
1233#121—21no—
1234#121—431no—
1235#121—431no—
1236#121—431no—
1237#121—431no—
1238#121—431no—
1239#121—431no—
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#121—861no—
1252#121—861no—
1253#121—861no—
1254#121C22×D4311yescharacteristic
1255#121C22×D4311yescharacteristic
1256#120—431no—
1257#120—431no—
1258#120—861no—
1259#120—861no—
1260#120—861no—
1261C4×Q8—431no—
1262C4×Q8—431no—
1263C4×Q8—431no—
1264C4×Q8—431no—
1265C4×Q8—861no—
1266C4×Q8—861no—
1267C4×Q8—861no—
1268C4×D4—21no—
1269C4×D4—431no—
1270C4×D4—431no—
1271C4×D4—431no—
1272C4×D4—431no—
1273C4×D4—431no—
1274C4×D4—861no—
1275C4×D4—861no—
1276C4×D4—861no—
1277C4×D4—861no—
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×D4C22×D4311yescharacteristic
1289C4×D4C22×D4311yescharacteristic
1290C4×D4C22×D4311yescharacteristic
1291#117—431no—
1292#117—431no—
1293#117—431no—
1294#117—431no—
1295#117—431no—
1296#117—431no—
1297#117—431no—
1298#117—861no—
1299#117—861no—
1300#117—861no—
1301#117—861no—
1302#117—861no—
1303#117—861no—
1304#117—861no—
1305#117—861no—
1306#117C22×D4311yescharacteristic
1307C2×C4⋊C4—21no—
1308C2×C4⋊C4—431no—
1309C2×C4⋊C4—431no—
1310C2×C4⋊C4—431no—
1311C2×C4⋊C4—431no—
1312C2×C4⋊C4—861no—
1313C2×C4⋊C4—861no—
1314C2×C4⋊C4—861no—
1315C2×C4⋊C4—861no—
1316C2×C4⋊C4C22×D4311yescharacteristic
1317C2×C22⋊C4—861no—
1318C2×C22⋊C4—861no—
1319C2×C22⋊C4—861no—
1320C2×C22⋊C4—861no—
1321C2×C42—861no—
1322#107—431no—
1323#107—431no—
1324#107—431no—
1325#107—431no—
1326#107—431no—
1327#107C22×D4311yescharacteristic
1328#106—431no—
1329#106—431no—
1330#106—431no—
1331#106—431no—
1332#106C22×D4311yescharacteristic
1333#106C22×D4311yescharacteristic
1334C4⋊C8—431no—
1335C4⋊C8—431no—
1336C4⋊C8—431no—
1337C4⋊C8C22×D4311yescharacteristic
1338#103—431no—
1339#103—431no—
1340#103—431no—
1341#103—431no—
1342#103—431no—
1343#103—431no—
1344#103—431no—
1345#103—431no—
1346#103—431no—
1347#103—431no—
1348#103—431no—
1349#103—431no—
1350#103—431no—
1351#103—431no—
1352#103—431no—
1353#103—431no—
1354#103—431no—
1355#103—431no—
1356#103—431no—
1357#103—431no—
1358#103C22×D4311yescharacteristic
1359#103C22×D4311yescharacteristic
1360#103C22×D4311yescharacteristic
1361#103C22×D4311yescharacteristic
1362#103C22×D4311yescharacteristic
1363#103C22×D4311yescharacteristic
1364#102—431no—
1365#102—431no—
1366#102—431no—
1367#102—431no—
1368#102—431no—
1369#102—431no—
1370#102—431no—
1371#102—431no—
1372#102—431no—
1373#102—431no—
1374#102C22×D4311yescharacteristic
1375#102C22×D4311yescharacteristic
1376#102C22×D4311yescharacteristic
1377#102C22×D4311yescharacteristic
1378C22⋊C8—431no—
1379C22⋊C8—431no—
1380C22⋊C8—431no—
1381C22⋊C8—431no—
1382C22⋊C8—431no—
1383C22⋊C8—431no—
1384C22⋊C8C22×D4311yescharacteristic
1385C22⋊C8C22×D4311yescharacteristic
1386#97—431no—
1387#97C22×D4311yescharacteristic
1388C4×C8—431no—
1389C4×C8—431no—
1390C24—431no—
1391C24—861no—
1392#41—22no—
1393#41—22no—
1394#41—41no—
1395#41—41no—
1396#41—434no—
1397#41—862no—
1398#41—862no—
1399#41—862no—
1400#41—862no—
1401#41—862no—
1402#41—862no—
1403#41—862no—
1404#41—862no—
1405#41—862no—
1406#41—1721no—
1407#41—1724no—
1408#41—1724no—
1409#41—1724no—
1410#41—1721no—
1411#41—1724no—
1412#41—1724no—
1413C2×Q8—431no—
1414C2×Q8—431no—
1415C2×Q8—431no—
1416C2×Q8—431no—
1417C2×Q8—861no—
1418C2×Q8—861no—
1419C2×Q8—861no—
1420C2×Q8—861no—
1421C2×Q8—862no—
1422C2×Q8—862no—
1423C2×Q8—862no—
1424C2×Q8—861no—
1425C2×Q8—861no—
1426C2×Q8—862no—
1427C2×Q8—862no—
1428C2×Q8—1721no—
1429C2×Q8—1724no—
1430C2×Q8—1721no—
1431C2×Q8—1721no—
1432C2×Q8C23×D4311yescharacteristic
1433C2×Q8C23×D4311yescharacteristic
1434C2×D4—21no—
1435C2×D4—21no—
1436C2×D4—21no—
1437C2×D4—21no—
1438C2×D4—431no—
1439C2×D4—431no—
1440C2×D4—431no—
1441C2×D4—431no—
1442C2×D4—431no—
1443C2×D4—431no—
1444C2×D4—431no—
1445C2×D4—861no—
1446C2×D4—861no—
1447C2×D4—861no—
1448C2×D4—861no—
1449C2×D4—862no—
1450C2×D4—861no—
1451C2×D4—861no—
1452C2×D4—861no—
1453C2×D4—861no—
1454C2×D4—861no—
1455C2×D4—861no—
1456C2×D4—1721no—
1457C2×D4—1724no—
1458C2×D4D4×D4311yescharacteristic
1459C2×D4C23×D4311yescharacteristic
1460C2×D4C23×D4311yescharacteristic
1461C22×C4—21no—
1462C22×C4—21no—
1463C22×C4—21no—
1464C22×C4—21no—
1465C22×C4—21no—
1466C22×C4—431no—
1467C22×C4—431no—
1468C22×C4—431no—
1469C22×C4—431no—
1470C22×C4—431no—
1471C22×C4—431no—
1472C22×C4—862no—
1473C22×C4—862no—
1474C22×C4—861no—
1475C22×C4—861no—
1476C22×C4—861no—
1477C22×C4—861no—
1478C22×C4—861no—
1479C22×C4—861no—
1480C22×C4—861no—
1481C22×C4—861no—
1482C22×C4—861no—
1483C22×C4—861no—
1484C22×C4—861no—
1485C22×C4—861no—
1486C22×C4—861no—
1487C22×C4—861no—
1488C22×C4—861no—
1489C22×C4—1724no—
1490C22×C4C23×D4311yescharacteristic
1491C22×C4C23×D4311yescharacteristic
1492Q16—862no—
1493Q16—1721no—
1494Q16—1721no—
1495Q16—1721no—
1496SD16—41no—
1497SD16—41no—
1498SD16—862no—
1499SD16—862no—
1500SD16—1721no—
1501SD16—1721no—
1502D8—22no—
1503D8—1721no—
1504M16—41no—
1505M16—862no—
1506M16—862no—
1507M16—1721no—
1508M16—1721no—
1509M16—1721no—
1510C2×C8—41no—
1511C2×C8—431no—
1512C2×C8—431no—
1513C2×C8—431no—
1514C2×C8—431no—
1515C2×C8—862no—
1516C2×C8—862no—
1517C2×C8—1721no—
1518C2×C8—1721no—
1519C2×C8—1721no—
1520C2×C8C23×D4311yescharacteristic
1521C2×C8C23×D4311yescharacteristic
1522C2×C8C23×D4311yescharacteristic
1523C2×C8C23×D4311yescharacteristic
1524C4⋊C4—21no—
1525C4⋊C4—21no—
1526C4⋊C4—21no—
1527C4⋊C4—21no—
1528C4⋊C4—21no—
1529C4⋊C4—21no—
1530C4⋊C4—21no—
1531C4⋊C4—431no—
1532C4⋊C4—431no—
1533C4⋊C4—431no—
1534C4⋊C4—431no—
1535C4⋊C4—431no—
1536C4⋊C4—431no—
1537C4⋊C4—431no—
1538C4⋊C4—431no—
1539C4⋊C4—431no—
1540C4⋊C4—861no—
1541C4⋊C4—861no—
1542C4⋊C4—861no—
1543C4⋊C4—861no—
1544C4⋊C4—861no—
1545C4⋊C4—861no—
1546C4⋊C4—861no—
1547C4⋊C4—861no—
1548C4⋊C4—861no—
1549C4⋊C4—861no—
1550C4⋊C4—861no—
1551C4⋊C4—861no—
1552C4⋊C4—861no—
1553C4⋊C4—861no—
1554C4⋊C4—861no—
1555C4⋊C4—861no—
1556C4⋊C4—861no—
1557C4⋊C4—861no—
1558C4⋊C4—861no—
1559C4⋊C4—861no—
1560C4⋊C4—861no—
1561C4⋊C4—861no—
1562C4⋊C4D4×D4311yescharacteristic
1563C4⋊C4C23×D4311yescharacteristic
1564C4⋊C4C23×D4311yescharacteristic
1565C4⋊C4C23×D4311yescharacteristic
1566C4⋊C4C23×D4311yescharacteristic
1567C22⋊C4—21no—
1568C22⋊C4—21no—
1569C22⋊C4—21no—
1570C22⋊C4—21no—
1571C22⋊C4—21no—
1572C22⋊C4—21no—
1573C22⋊C4—21no—
1574C22⋊C4—431no—
1575C22⋊C4—431no—
1576C22⋊C4—431no—
1577C22⋊C4—431no—
1578C22⋊C4—431no—
1579C22⋊C4—431no—
1580C22⋊C4—431no—
1581C22⋊C4—431no—
1582C22⋊C4—861no—
1583C22⋊C4—861no—
1584C22⋊C4—861no—
1585C22⋊C4—861no—
1586C22⋊C4—861no—
1587C22⋊C4—861no—
1588C22⋊C4—861no—
1589C22⋊C4—861no—
1590C22⋊C4—861no—
1591C22⋊C4—861no—
1592C22⋊C4—861no—
1593C22⋊C4—861no—
1594C22⋊C4—861no—
1595C22⋊C4—861no—
1596C22⋊C4—861no—
1597C22⋊C4—861no—
1598C22⋊C4—861no—
1599C22⋊C4—861no—
1600C22⋊C4—861no—
1601C22⋊C4—861no—
1602C22⋊C4—861no—
1603C22⋊C4—861no—
1604C22⋊C4—861no—
1605C22⋊C4—861no—
1606C22⋊C4D4×D4311yescharacteristic
1607C22⋊C4D4×D4311yescharacteristic
1608C42—21no—
1609C42—431no—
1610C42—861no—
1611C42—861no—
1612C42—861no—
1613C42—861no—
1614C42—861no—
1615C42—861no—
1616C42—861no—
1617C42—861no—
1618C42—861no—
1619C42—861no—
1620C42C23×D4311yescharacteristic
1621C23—21no—
1622C23—21no—
1623C23—431no—
1624C23—431no—
1625C23—431no—
1626C23—862no—
1627C23—861no—
1628C23—3441no—
1629C23—1721no—
1630C23—1721no—
1631C23—1722no—
1632C23—1722no—
1633C23C2×D4×D4311yescharacteristic
1634C23C2×D4×D4311yescharacteristic
1635Q8—21no—
1636Q8—21no—
1637Q8—21no—
1638Q8—21no—
1639Q8—432no—
1640Q8—862no—
1641Q8—861no—
1642Q8—861no—
1643Q8—861no—
1644Q8—861no—
1645Q8—861no—
1646Q8—3441no—
1647Q8—3441no—
1648Q8—1722no—
1649Q8—1722no—
1650Q8—1722no—
1651Q8—1722no—
1652D4—21no—
1653D4—21no—
1654D4—21no—
1655D4—41no—
1656D4—42no—
1657D4—42no—
1658D4—81no—
1659D4—81no—
1660D4—862no—
1661D4—862no—
1662D4—862no—
1663D4—864no—
1664D4—861no—
1665D4—861no—
1666D4—3441no—
1667D4—3441no—
1668D4—3441no—
1669D4—3441no—
1670D4—1721no—
1671D4—1722no—
1672D4—1721no—
1673D4—1721no—
1674D4—1722no—
1675D4—1722no—
1676D4—1722no—
1677D4—1722no—
1678D4#41×D4312yes—
1679C2×C4—21no—
1680C2×C4—21no—
1681C2×C4—21no—
1682C2×C4—21no—
1683C2×C4—21no—
1684C2×C4—21no—
1685C2×C4—21no—
1686C2×C4—21no—
1687C2×C4—21no—
1688C2×C4—21no—
1689C2×C4—42no—
1690C2×C4—42no—
1691C2×C4—81no—
1692C2×C4—81no—
1693C2×C4—81no—
1694C2×C4—431no—
1695C2×C4—432no—
1696C2×C4—432no—
1697C2×C4—431no—
1698C2×C4—431no—
1699C2×C4—431no—
1700C2×C4—431no—
1701C2×C4—862no—
1702C2×C4—862no—
1703C2×C4—862no—
1704C2×C4—864no—
1705C2×C4—861no—
1706C2×C4—861no—
1707C2×C4—861no—
1708C2×C4—861no—
1709C2×C4—861no—
1710C2×C4—861no—
1711C2×C4—861no—
1712C2×C4—861no—
1713C2×C4—861no—
1714C2×C4—861no—
1715C2×C4—861no—
1716C2×C4—3441no—
1717C2×C4—3441no—
1718C2×C4—3441no—
1719C2×C4—3441no—
1720C2×C4—3441no—
1721C2×C4—3441no—
1722C2×C4—1722no—
1723C2×C4—1722no—
1724C2×C4—1722no—
1725C2×C4—1722no—
1726C2×C4—1722no—
1727C2×C4—1722no—
1728C2×C4—1722no—
1729C2×C4—1722no—
1730C2×C4C2×D4×D4311yescharacteristic
1731C2×C4C2×D4×D4311yescharacteristic
1732C2×C4C2×D4×D4311yescharacteristic
1733C2×C4C2×D4×D4311yescharacteristic
1734C2×C4C24×D4311yescharacteristic
1735C8—21no—
1736C8—21no—
1737C8—21no—
1738C8—21no—
1739C8—861no—
1740C8—861no—
1741C8—861no—
1742C8—861no—
1743C22—21no—
1744C22—21no—
1745C22—22no—
1746C22—21no—
1747C22—21no—
1748C22—21no—
1749C22—21no—
1750C22—41no—
1751C22—41no—
1752C22—41no—
1753C22—41no—
1754C22—41no—
1755C22—432no—
1756C22—861no—
1757C22—861no—
1758C22—861no—
1759C22—861no—
1760C22—861no—
1761C22—861no—
1762C22—861no—
1763C22—861no—
1764C22—3442no—
1765C22—3444no—
1766C22—1721no—
1767C22—1721no—
1768C22—1721no—
1769C22C22×D4×D4311yescharacteristic
1770C4—21no—
1771C4—21no—
1772C4—21no—
1773C4—21no—
1774C4—41no—
1775C4—41no—
1776C4—41no—
1777C4—41no—
1778C4—41no—
1779C4—41no—
1780C4—432no—
1781C4—861no—
1782C4—861no—
1783C4—862no—
1784C4—861no—
1785C4—861no—
1786C4—1721no—
1787C4—1721no—
1788C4—1721no—
1789C4—1721no—
1790C4—1721no—
1791C4—1721no—
1792C4C2×#41×D4311yescharacteristic
1793C4H(5,𝔽2)×D4311yescharacteristic
1794C2—41no—
1795C2—41no—
1796C2—42no—
1797C2—81no—
1798C2—862no—
1799C2—3441no—
1800C2—1721no—
1801C2—1721no—
1802C2#546×D4311yescharacteristic
1803C2#1914936811yescharacteristic
1804C2#1914937711yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3307C2
socleC22×C43C23×D4
hypercenter#3307D43
hypocenterC43#61197
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3307

Complements

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

NH ≅ G/Ntype
1. #19148311C2semidirect
2. #19148269C2semidirect
3. #19146892C2semidirect
4. #19146884C2semidirect
5. #19146812C2semidirect
6. #19146808C2semidirect
7. #19146756C2semidirect
8. #19146755C2semidirect
9. #19146663C2semidirect
10. #19146659C2semidirect
11. #19146645C2semidirect
12. #19146644C2semidirect
13. #19146575C2semidirect
14. #19146512C2semidirect
15. #19146508C2semidirect
16. #19146492C2semidirect
17. #19146491C2semidirect
18. #19144961C2semidirect
19. #19144579C2semidirect
20. #485×D43C2semidirect
21. #19144447C2semidirect
22. #19144263C2semidirect
23. #19144218C2semidirect
24. #19144140C2semidirect
25. #19143908C2semidirect
26. #19143810C2semidirect
27. #19143477C2semidirect
28. #19143321C2semidirect
29. #19143126C2semidirect
30. #19143110C2semidirect
31. C43×#3307C2semidirect
34. C2×#13063354C22semidirect
37. C2×#13063333C22semidirect
39. #14583619C22semidirect
40. #14583617C22semidirect
46. #14583596C22semidirect
61. #14583529C22semidirect
65. #14583478C22semidirect
76. #14583380C22semidirect
78. #14583378C22semidirect
80. #14583266C22semidirect
81. #14583260C22semidirect
82. #14583259C22semidirect
83. #14583256C22semidirect
84. #14583255C22semidirect
85. #14583249C22semidirect
86. #14583248C22semidirect
89. #14583241C22semidirect
90. #14583240C22semidirect
92. #14583239C22semidirect
94. #14583237C22semidirect
95. #14583237C22semidirect
96. #14583228C22semidirect
97. #14583225C22semidirect
98. #14583224C22semidirect
99. #14583219C22semidirect
100. #14583217C22semidirect
101. #14583209C22semidirect
102. #14583203C22semidirect
103. #14583197C22semidirect
104. #14583195C22semidirect
105. #14583193C22semidirect
106. #14583179C22semidirect
107. #14583177C22semidirect
110. #14583146C22semidirect
111. #14583145C22semidirect
114. #14583142C22semidirect
115. #14583140C22semidirect
116. #14583139C22semidirect
117. #14583138C22semidirect
118. #14583138C22semidirect
119. #14583134C22semidirect
120. #14583133C22semidirect
121. #14583126C22semidirect
122. #14583124C22semidirect
123. #14583122C22semidirect
124. #14583116C22semidirect
125. #14583114C22semidirect
126. #14583108C22semidirect
127. #14583106C22semidirect
128. #14583102C22semidirect
130. #14583062C22semidirect
132. #14583061C22semidirect
133. #14583057C22semidirect
135. #14583056C22semidirect
138. #14583041C22semidirect
139. #14583037C22semidirect
141. #14583036C22semidirect
143. #14583011C22semidirect
144. #14583007C22semidirect
145. #14583005C22semidirect
146. #14582990C22semidirect
147. #14582990C22semidirect
148. C4×#10621883C22semidirect
149. C4×#10621883C22semidirect
154. #14582967C22semidirect
155. D4×C43⋊C8C22semidirect
156. C8×C22⋊D43C22semidirect
157. #14582938C22semidirect
158. #107×D43C22semidirect
159. #106×D43C22semidirect
160. #14582924C22semidirect
161. #14582909C22semidirect
164. #14582906C22semidirect
165. #14582906C22semidirect
172. #14582897C22semidirect
173. #14582897C22semidirect
176. #14582895C22semidirect
180. #14582892C22semidirect
181. C2×#13063248C22semidirect
182. #103×D43C22semidirect
183. #103×D43C22semidirect
184. #103×D43C22semidirect
185. #14582864C22semidirect
187. #14582856C22semidirect
188. C43×#553C22semidirect
190. C43×#491C22semidirect
191. C43×#485C22semidirect
192. C43×#483C22semidirect
193. C43×#478C22semidirect
194. C43×#468C22semidirect
195. C43×#465C22semidirect
196. C43×#461C22semidirect
198. C43×#449C22semidirect
199. C43×#442C22semidirect
200. C43×#435C22semidirect
201. C43×#417C22semidirect
905. #3307D43semidirect
949. #553C2×D43semidirect
985. #491C2×D43semidirect
1001. #485C2×D43semidirect
1003. #483C2×D43semidirect
1011. #478C2×D43semidirect
1023. #468C2×D43semidirect
1031. #465C2×D43semidirect
1039. #461C2×D43semidirect
1051. #449C2×D43semidirect
1057. #442C2×D43semidirect
1069. #435C2×D43semidirect
1089. #417C2×D43semidirect
1105. C43#61197semidirect

Maximal subgroups

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

subgroupindex
#191483112
#191482692
#191468922
#191468842
#191468122
#191468082
#191467562
#191467552
#191466632
#191466592
#191466452
#191466442
#191465752
#191465122
#191465082
#191464922
#191464912
#191449612
#191445792
#485×D432
#191444472
#191442632
#191442182
#191441402
#191439082
#191438102
#191434772
#191433212
#191431262
#191431102
C43×#33072
#6119743