Finite Group Databasebeta

← #25968362

Subgroups — #25968362

Order 11008.

2054 conjugacy classes of subgroups.

The subgroup lattice has 1866 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19148510C211yesmaximal, characteristic, complemented
2#19148382C211yesmaximal, characteristic, complemented
3#19145677C211yesmaximal, characteristic, complemented
4#19145676C211yesmaximal, characteristic, complemented
5#19145666C211yesmaximal, characteristic, complemented
6#19145665C211yesmaximal, characteristic, complemented
7#19145655C211yesmaximal, characteristic, complemented
8#19145654C211yesmaximal, characteristic, complemented
9#19145644C211yesmaximal, characteristic, complemented
10#19145643C211yesmaximal, characteristic, complemented
11#19145572C211yesmaximal, characteristic, complemented
12#19145571C211yesmaximal, characteristic, complemented
13#19145566C211yesmaximal, characteristic, complemented
14#19145562C211yesmaximal, characteristic, complemented
15#19145561C211yesmaximal, characteristic, complemented
16#19145556C211yesmaximal, characteristic, complemented
17#19145555C211yesmaximal, characteristic, complemented
18#19145056C211yesmaximal, characteristic, complemented
19#19145020C211yesmaximal, characteristic, complemented
20#19144992C211yesmaximal, characteristic, complemented
21#488×D43C211yesmaximal, characteristic, complemented
22#19144142C211yesmaximal, characteristic, complemented
23#19144140C211yesmaximal, characteristic, complemented
24#19144131C211yesmaximal, characteristic, complemented
25#19144129C211yesmaximal, characteristic, complemented
26#19143914C211yesmaximal, characteristic, complemented
27#19143908C211yesmaximal, characteristic, complemented
28#19143903C211yesmaximal, characteristic, complemented
29#19143897C211yesmaximal, characteristic, complemented
30#19143234C211yesmaximal, characteristic, complemented
31C43×#3212C211yesmaximal, characteristic, complemented
32C2×#13063372C2211yescharacteristic
33C2×#13063371C2211yescharacteristic
34C2×#13063357C2211yescharacteristic, complemented
35C2×#13063354C2211yescharacteristic, complemented
36C2×#13063352C2211yescharacteristic
37C2×#13063349C2211yescharacteristic
38C2×#13063348C2211yescharacteristic
39C2×#13063346C2211yescharacteristic
40C2×#13063346C2211yescharacteristic, complemented
41C2×#13063344C2211yescharacteristic, complemented
42#14583600—21no—
43#14583599—21no—
44#14583598—21no—
45#14583594—21no—
46#14583594—21no—
47#14583593—21no—
48#14583585—21no—
49#14583582—21no—
50#14583558—21no—
51#14583558—21no—
52#14583545—21no—
53#14583545—21no—
54#14583538—21no—
55#14583538—21no—
56#14583538—21no—
57#14583538—21no—
58#14583509C2211yescharacteristic, complemented
59#14583507C2211yescharacteristic, complemented
60#14583502C2211yescharacteristic, complemented
61#14583500C2211yescharacteristic, complemented
62#14583479C2211yescharacteristic
63#14583478C2211yescharacteristic
64#14583474C2211yescharacteristic
65#14583474C2211yescharacteristic
66#14583470C2211yescharacteristic
67#14583463C2211yescharacteristic
68#14583462C2211yescharacteristic
69#14583462C2211yescharacteristic
70#14583448C2211yescharacteristic
71#14583448C2211yescharacteristic
72#14583448C2211yescharacteristic, complemented
73#14583434C2211yescharacteristic, complemented
74#14583433C2211yescharacteristic, complemented
75#14583428C2211yescharacteristic, complemented
76#125×D43C2211yescharacteristic, complemented
77C2×#13063313C2211yescharacteristic
78#124×D43C2211yescharacteristic
79#124×D43C2211yescharacteristic
80#14583381C2211yescharacteristic, complemented
81#14583378C2211yescharacteristic, complemented
82C4×#10621898C2211yescharacteristic
83#14583292C2211yescharacteristic, complemented
84#14583290C2211yescharacteristic, complemented
85#14583287C2211yescharacteristic, complemented
86#14583285C2211yescharacteristic, complemented
87#14583283C2211yescharacteristic, complemented
88#14583283C2211yescharacteristic, complemented
89#14583281C2211yescharacteristic, complemented
90#14583281C2211yescharacteristic, complemented
91#14583281C2211yescharacteristic, complemented
92#14583281C2211yescharacteristic, complemented
93#14583277C2211yescharacteristic, complemented
94#14583274C2211yescharacteristic, complemented
95#14583270C2211yescharacteristic, complemented
96#14583270C2211yescharacteristic, complemented
97#14583266C2211yescharacteristic, complemented
98#14583266C2211yescharacteristic, complemented
99#14583262C2211yescharacteristic, complemented
100#14583262C2211yescharacteristic, complemented
101#14583256C2211yescharacteristic, complemented
102#14583256C2211yescharacteristic, complemented
103#14583255C2211yescharacteristic, complemented
104#14583255C2211yescharacteristic, complemented
105#14583254C2211yescharacteristic, complemented
106#14583254C2211yescharacteristic, complemented
107#14583253C2211yescharacteristic, complemented
108#14583253C2211yescharacteristic, complemented
109#14583252C2211yescharacteristic, complemented
110#14583252C2211yescharacteristic, complemented
111#14583124C2211yescharacteristic, complemented
112#14583123C2211yescharacteristic, complemented
113#14583122C2211yescharacteristic, complemented
114#14583122C2211yescharacteristic, complemented
115#14583121C2211yescharacteristic, complemented
116#14583121C2211yescharacteristic, complemented
117#14583120C2211yescharacteristic, complemented
118#14583119C2211yescharacteristic, complemented
119#14583117C2211yescharacteristic, complemented
120#14583116C2211yescharacteristic, complemented
121#14583115C2211yescharacteristic, complemented
122#14583115C2211yescharacteristic, complemented
123#14583114C2211yescharacteristic, complemented
124#14583114C2211yescharacteristic, complemented
125#14583113C2211yescharacteristic, complemented
126#14583112C2211yescharacteristic, complemented
127#14583108C2211yescharacteristic, complemented
128#14583107C2211yescharacteristic, complemented
129#14583106C2211yescharacteristic, complemented
130#14583103C2211yescharacteristic, complemented
131#14583102C2211yescharacteristic, complemented
132#14583101C2211yescharacteristic, complemented
133#14583098C2211yescharacteristic, complemented
134#14583097C2211yescharacteristic, complemented
135#14583096C2211yescharacteristic, complemented
136#14583093C2211yescharacteristic, complemented
137#14583092C2211yescharacteristic, complemented
138#14583091C2211yescharacteristic, complemented
139#14583064C2211yescharacteristic
140#14583062C2211yescharacteristic, complemented
141#14583061C2211yescharacteristic
142#14583061C2211yescharacteristic, complemented
143#14583060C2211yescharacteristic
144#14583058C2211yescharacteristic, complemented
145#14583057C2211yescharacteristic, complemented
146#14583056C2211yescharacteristic, complemented
147#14583054C2211yescharacteristic, complemented
148#14583053C2211yescharacteristic, complemented
149#14583052C2211yescharacteristic
150#14583051C2211yescharacteristic
151#14583049C2211yescharacteristic
152#14583048C2211yescharacteristic
153#14583047C2211yescharacteristic
154#14583045C2211yescharacteristic, complemented
155#14583044C2211yescharacteristic
156#14583044C2211yescharacteristic, complemented
157#14583043C2211yescharacteristic
158#14583041C2211yescharacteristic, complemented
159#14583040C2211yescharacteristic, complemented
160#14583039C2211yescharacteristic, complemented
161#14583037C2211yescharacteristic, complemented
162#14583036C2211yescharacteristic, complemented
163#14583035C2211yescharacteristic
164#14583034C2211yescharacteristic
165#14583032C2211yescharacteristic
166#14583031C2211yescharacteristic
167#14582959C2211yescharacteristic, complemented
168#14582959C2211yescharacteristic, complemented
169#14582957C2211yescharacteristic, complemented
170#14582957C2211yescharacteristic, complemented
171#14582952C2211yescharacteristic, complemented
172#14582950C2211yescharacteristic, complemented
173#14582950C2211yescharacteristic, complemented
174#14582924C2211yescharacteristic, complemented
175#14582924C2211yescharacteristic, complemented
176#14582899C2211yescharacteristic
177#14582899C2211yescharacteristic
178#14582897C2211yescharacteristic, complemented
179#14582897C2211yescharacteristic, complemented
180#103×D43C2211yescharacteristic, complemented
181#103×D43C2211yescharacteristic, complemented
182#102×D43C2211yescharacteristic
183#102×D43C2211yescharacteristic
184#14582864C2211yescharacteristic
185#14582864C2211yescharacteristic
186C4×#10621872C2211yescharacteristic, complemented
187C4×C8×D43C2211yescharacteristic, complemented
188C43×#532C2211yescharacteristic
189C43×#529C2211yescharacteristic, complemented
190C43×#495C2211yescharacteristic, complemented
191C43×#495C2211yescharacteristic, complemented
192C43×#488C2211yescharacteristic, complemented
193C43×#488C2211yescharacteristic, complemented
194C43×#462C2211yescharacteristic, complemented
195C43×#461C2211yescharacteristic, complemented
196C43×#460C2211yescharacteristic, complemented
197C43×#459C2211yescharacteristic, complemented
198C43×#452C2211yescharacteristic
199C43×#452C2211yescharacteristic, complemented
200C43×#449C2211yescharacteristic
201C43×#449C2211yescharacteristic, complemented
202C43×#431C2211yescharacteristic, complemented
203#13063372—42no—
204#13063372—42no—
205#13063371—42no—
206#13063371—42no—
207C2×#10621902C2311yescharacteristic
208C2×#10621902C2311yescharacteristic
209C2×#10621902C2311yescharacteristic
210C2×#10621898—21no—
211C2×#10621898—21no—
212C2×#10621898C2311yescharacteristic
213C2×#10621900—21no—
214C2×#10621900—21no—
215C2×#10621900C2311yescharacteristic
216C2×#10621900C2311yescharacteristic
217C2×#10621900C2311yescharacteristic
218C22×Dic86—21no—
219C22×Dic86C2311yescharacteristic
220C2×Q8×D43C2311yescharacteristic
221C2×Q8×D43C2311yescharacteristic
222C22×D172—21no—
223C22×D172C2311yescharacteristic
224C2×D4×D43—21no—
225C2×D4×D43—21no—
226C2×D4×D43C2311yescharacteristic
227C2×D4×D43C2311yescharacteristic
228#13063357—42no—
229#13063354—42no—
230#13063352—42no—
231#13063349—42no—
232#13063348—42no—
233#13063346—42no—
234#13063346—42no—
235#13063344—42no—
236C2×Dic172C2311yescharacteristic
237C2×Dic172C2311yescharacteristic
238C2×#10621885C2311yescharacteristic
239C2×#10621885C2311yescharacteristic
240C2×#10621885C2311yescharacteristic
241C2×#10621885C2311yescharacteristic
242C2×#10621873C2311yescharacteristic
243C2×#10621873C2311yescharacteristic
244C2×#10621873C2311yescharacteristic
245C2×#10621873C2311yescharacteristic
246C2×#10621883C2311yescharacteristic
247C2×#10621883C2311yescharacteristic
248C2×#10621883C2311yescharacteristic
249C2×#10621883C2311yescharacteristic
250C2×#10621884C2311yescharacteristic
251C2×#10621884C2311yescharacteristic
252C2×#10621884C2311yescharacteristic
253C2×#10621884C2311yescharacteristic
254C2×D344C2311yescharacteristic
255C2×D344C2311yescharacteristic
256C2×#10621882C2311yescharacteristic
257C2×#10621882C2311yescharacteristic
258C2×#10621882C2311yescharacteristic
259C2×#10621882C2311yescharacteristic
260C2×#10621872C2311yescharacteristic
261C2×#10621872C2311yescharacteristic
262C2×C8×D43C2311yescharacteristic
263C2×C8×D43C2311yescharacteristic
264#13063323C2311yescharacteristic
265#13063323C2311yescharacteristic
266#13063323C2311yescharacteristic
267#13063321C2311yescharacteristic
268#13063321C2311yescharacteristic
269#13063321C2311yescharacteristic
270#13063320—21no—
271#13063320—21no—
272#13063319—21no—
273#13063319—21no—
274#13063318—21no—
275#13063318—21no—
276#13063318—21no—
277#13063317—21no—
278#13063317C2311yescharacteristic
279#13063316—21no—
280#13063316C2311yescharacteristic
281#13063316C2311yescharacteristic
282#13063315—21no—
283#13063315—21no—
284#13063315—21no—
285#13063315—21no—
286#13063314C2311yescharacteristic
287#13063314C2311yescharacteristic
288#13063313—21no—
289#13063313—21no—
290#13063313C2311yescharacteristic
291#13063313C2311yescharacteristic
292#13063313C2311yescharacteristic
293#13063313C2311yescharacteristic
294#13063313C2311yescharacteristic
295#13063312C2311yescharacteristic
296#13063312C2311yescharacteristic
297#13063311—21no—
298#13063311—21no—
299#13063311—21no—
300#13063311—21no—
301#13063310—21no—
302#13063310—21no—
303#13063310—21no—
304#13063310—21no—
305#13063310—21no—
306#13063309—21no—
307#13063308—21no—
308#13063308—21no—
309#13063307—21no—
310#13063307—21no—
311#13063307—21no—
312#13063306—21no—
313#13063306—21no—
314#13063305C2311yescharacteristic
315#13063304—21no—
316#13063304—21no—
317#13063304C2311yescharacteristic
318#13063303—21no—
319#13063303—21no—
320#13063303—21no—
321#13063303—21no—
322#13063303—21no—
323#13063302—21no—
324#13063301C2311yescharacteristic
325#13063300—21no—
326#13063300C2311yescharacteristic
327#13063299—21no—
328#13063299—21no—
329#13063299—21no—
330#13063299C2311yescharacteristic
331#13063298—21no—
332#13063298—21no—
333#13063298—21no—
334#13063298—21no—
335#13063298—21no—
336#13063298—21no—
337#13063298—21no—
338#13063298—21no—
339#13063298—21no—
340#13063298—21no—
341#13063297—21no—
342#13063297—21no—
343#13063297—21no—
344#13063297—21no—
345#13063297—21no—
346#13063297—21no—
347#13063296—21no—
348#13063296—21no—
349#13063296C2311yescharacteristic
350#13063293—21no—
351#13063293—21no—
352#13063293—21no—
353#13063293—21no—
354#13063293—21no—
355#13063293—21no—
356Q8×Dic43C2311yescharacteristic
357C4×Dic86D411yescharacteristic
358C4×Dic86D411yescharacteristic
359C4×Dic86C2311yescharacteristic
360#13063290C2311yescharacteristic
361C4×D172—21no—
362C4×D172D411yescharacteristic
363C4×D172D411yescharacteristic
364C4×D172C2311yescharacteristic
365D4×Dic43C2311yescharacteristic
366#13063287—21no—
367#13063287—21no—
368#13063287C2311yescharacteristic
369C4×C22⋊D43—21no—
370C4×C22⋊D43—21no—
371C4×C22⋊D43D411yescharacteristic
372C4×C22⋊D43D411yescharacteristic
373C4×C22⋊D43D411yescharacteristic
374C4×C22⋊D43D411yescharacteristic
375(C22⋊D43)⋊C4—21no—
376(C22⋊D43)⋊C4—21no—
377(C22⋊D43)⋊C4—21no—
378(C22⋊D43)⋊C4—21no—
379(C22⋊D43)⋊C4—21no—
380(C22⋊D43)⋊C4—21no—
381(C22⋊D43)⋊C4—21no—
382(C22⋊D43)⋊C4—21no—
383#13063284C2311yescharacteristic
384#13063283—21no—
385#13063282—21no—
386#13063282—21no—
387#13063282C2311yescharacteristic
388#13063282C2311yescharacteristic
389#13063281—21no—
390#13063281—21no—
391C2×Dic43⋊C4—21no—
392C4⋊C4×D43—21no—
393C4⋊C4×D43—21no—
394C4⋊C4×D43—21no—
395C4⋊C4×D43C2311yescharacteristic
396C4⋊C4×D43C2311yescharacteristic
397C2×(C2×D43)⋊C4—21no—
398C2×(C2×D43)⋊C4—21no—
399C22⋊C4×D43—21no—
400C22⋊C4×D43—21no—
401C22⋊C4×D43—21no—
402C22⋊C4×D43—21no—
403C42×D43C2311yescharacteristic
404C42×D43C2311yescharacteristic
405C4⋊(C43⋊C8)C2311yescharacteristic
406C4⋊(C43⋊C8)C2311yescharacteristic
407Dic43⋊C8C2311yescharacteristic
408Dic43⋊C8C2311yescharacteristic
409Dic43⋊C8C2311yescharacteristic
410Dic43⋊C8C2311yescharacteristic
411#13063250C2311yescharacteristic
412#13063250C2311yescharacteristic
413#13063250C2311yescharacteristic
414#13063250C2311yescharacteristic
415#13063249C2311yescharacteristic
416#13063249C2311yescharacteristic
417#13063249C2311yescharacteristic
418#13063249C2311yescharacteristic
419#13063248C2311yescharacteristic
420#13063248C2311yescharacteristic
421#13063248C2311yescharacteristic
422#13063248C2311yescharacteristic
423#13063247C2311yescharacteristic
424#13063247C2311yescharacteristic
425#13063247C2311yescharacteristic
426#13063247C2311yescharacteristic
427#13063246C2311yescharacteristic
428#13063246C2311yescharacteristic
429#13063246C2311yescharacteristic
430#13063246C2311yescharacteristic
431#13063245C2311yescharacteristic
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
442#13063235C2311yescharacteristic
443C4×C43⋊C8C2311yescharacteristic
444C4×C43⋊C8C2311yescharacteristic
445C8×Dic43C2311yescharacteristic
446C8×Dic43C2311yescharacteristic
447C2×#41×C43C2311yescharacteristic
448C2×#41×C43C2311yescharacteristic
449C2×Q16×C43C2311yescharacteristic
450C2×Q16×C43C2311yescharacteristic
451C2×SD16×C43C2311yescharacteristic
452C2×SD16×C43C2311yescharacteristic
453C2×SD16×C43C2311yescharacteristic
454C2×SD16×C43C2311yescharacteristic
455C2×D8×C43C2311yescharacteristic
456C2×D8×C43C2311yescharacteristic
457C4⋊Q8×C43C2311yescharacteristic
458#127×C43C2311yescharacteristic
459#126×C43—21no—
460#125×C43C2311yescharacteristic
461#124×C43C2311yescharacteristic
462#124×C43C2311yescharacteristic
463#124×C43C2311yescharacteristic
464#123×C43—21no—
465C22⋊Q8×C43C2311yescharacteristic
466#121×C43—21no—
467#121×C43—21no—
468#121×C43C2311yescharacteristic
469C4×Q8×C43C2311yescharacteristic
470C4×D4×C43—21no—
471C4×D4×C43—21no—
472C4×D4×C43—21no—
473C4×D4×C43C2311yescharacteristic
474#117×C43—21no—
475C2×C42×C43C2311yescharacteristic
476C4⋊C8×C43C2311yescharacteristic
477C4⋊C8×C43C2311yescharacteristic
478#103×C43C2311yescharacteristic
479#103×C43C2311yescharacteristic
480#103×C43C2311yescharacteristic
481#103×C43C2311yescharacteristic
482#102×C43C2311yescharacteristic
483#102×C43C2311yescharacteristic
484#102×C43C2311yescharacteristic
485#102×C43C2311yescharacteristic
486C22⋊C8×C43C2311yescharacteristic
487C22⋊C8×C43C2311yescharacteristic
488C4×C8×C43C2311yescharacteristic
489C4×C8×C43C2311yescharacteristic
490C23×D43—21no—
491C23×D43—21no—
492C23×D43—21no—
493#41×C43—41no—
494#41×C43—41no—
495#41×C43—41no—
496#41×C43—41no—
497C2×Q8×C43C2411yescharacteristic
498C2×Q8×C43C2411yescharacteristic
499C2×Q8×C43C2411yescharacteristic
500C2×D4×C43—21no—
501C2×D4×C43—21no—
502C2×D4×C43—21no—
503C2×D4×C43—21no—
504C2×D4×C43—21no—
505C2×D4×C43C2411yescharacteristic
506C2×D4×C43C2411yescharacteristic
507C2×D4×C43C2411yescharacteristic
508C22×C4×C43—21no—
509C22×C4×C43—21no—
510C22×C4×C43—21no—
511C22×C4×C43C2×D411yescharacteristic
512C22×C4×C43C2×D411yescharacteristic
513C22×C4×C43C2411yescharacteristic
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—21no—
526C2×C22⋊D43—21no—
527C2×C22⋊D43C2×D411yescharacteristic
528C2×C22⋊D43C2×D411yescharacteristic
529C22×Dic43—21no—
530C22×Dic43—21no—
531C22×Dic43—21no—
532C22×Dic43—21no—
533C22×Dic43—21no—
534#10621902—22no—
535#10621902—22no—
536#10621902—22no—
537#10621902—22no—
538#10621902—41no—
539#10621902—41no—
540Q8×D43—22no—
541Q8×D43—22no—
542Q8×D43—41no—
543Q8×D43—41no—
544#10621900—22no—
545#10621900—22no—
546#10621900—22no—
547#10621900—22no—
548#10621900—41no—
549#10621900—41no—
550#10621900—44no—
551#10621900—44no—
552D4×D43—22no—
553D4×D43—22no—
554D4×D43—41no—
555D4×D43—41no—
556D4×D43—44no—
557D4×D43—44no—
558#10621898—22no—
559#10621898—22no—
560#10621898—44no—
561#10621898—44no—
562C2×D172—21no—
563C2×D172—21no—
564C2×D172—21no—
565C2×D172—21no—
566C2×D172—21no—
567C2×D172—41no—
568C2×D172—41no—
569C2×D172—44no—
570C2×D172C2×D411yescharacteristic
571C2×D172C2411yescharacteristic
572C2×D172C2411yescharacteristic
573C2×D172C2411yescharacteristic
574C2×C4×D43—21no—
575C2×C4×D43—21no—
576C2×C4×D43—21no—
577C2×C4×D43—21no—
578C2×C4×D43—21no—
579C2×C4×D43—21no—
580C2×C4×D43—21no—
581C2×C4×D43—21no—
582C2×C4×D43—21no—
583C2×C4×D43C2×D411yescharacteristic
584C2×C4×D43C2×D411yescharacteristic
585C2×C4×D43C2×D411yescharacteristic
586C2×C4×D43C2×D411yescharacteristic
587C2×C4×D43C2411yescharacteristic
588C2×C4×D43C2411yescharacteristic
589C2×Dic86—21no—
590C2×Dic86—21no—
591C2×Dic86—21no—
592C2×Dic86—41no—
593C2×Dic86—41no—
594C2×Dic86—44no—
595C2×Dic86C2×D411yescharacteristic
596C2×Dic86C2411yescharacteristic
597C2×Dic86C2411yescharacteristic
598C2×Dic86C2411yescharacteristic
599Q16×C43—41no—
600Q16×C43—41no—
601SD16×C43—41no—
602SD16×C43—41no—
603SD16×C43—41no—
604SD16×C43—41no—
605D8×C43—41no—
606D8×C43—41no—
607C2×C8×C43C2411yescharacteristic
608C2×C8×C43C2411yescharacteristic
609C2×C8×C43C2411yescharacteristic
610C2×C8×C43C2411yescharacteristic
611C4⋊C4×C43—21no—
612C4⋊C4×C43—21no—
613C4⋊C4×C43—21no—
614C4⋊C4×C43—21no—
615C4⋊C4×C43—21no—
616C4⋊C4×C43—21no—
617C4⋊C4×C43C2411yescharacteristic
618C4⋊C4×C43C2411yescharacteristic
619C22⋊C4×C43—21no—
620C22⋊C4×C43—21no—
621C22⋊C4×C43—21no—
622C22⋊C4×C43—21no—
623C22⋊C4×C43—21no—
624C22⋊C4×C43—21no—
625C22⋊C4×C43—21no—
626C22⋊C4×C43—21no—
627C22⋊C4×C43—21no—
628C42×C43—21no—
629C42×C43C2×D411yescharacteristic
630C42×C43C2×D411yescharacteristic
631C42×C43C2411yescharacteristic
632C42×C43C2411yescharacteristic
633C22⋊Dic43—21no—
634C22⋊Dic43—21no—
635C22⋊Dic43—21no—
636C22⋊Dic43—21no—
637C22⋊Dic43—21no—
638C22⋊Dic43—21no—
639C22⋊Dic43—21no—
640C22⋊Dic43C2×D411yescharacteristic
641C22⋊Dic43C2×D411yescharacteristic
642#10621885—41no—
643#10621885—41no—
644#10621885—41no—
645#10621885—41no—
646#10621884—41no—
647#10621884—41no—
648#10621884—41no—
649#10621884—41no—
650#10621883—41no—
651#10621883—41no—
652#10621883—41no—
653#10621883—41no—
654#10621882—41no—
655#10621882—41no—
656#10621882—41no—
657#10621882—41no—
658(C2×D43)⋊C4—21no—
659(C2×D43)⋊C4—21no—
660(C2×D43)⋊C4—21no—
661(C2×D43)⋊C4—21no—
662(C2×D43)⋊C4—21no—
663(C2×D43)⋊C4—21no—
664(C2×D43)⋊C4—21no—
665(C2×D43)⋊C4—21no—
666(C2×D43)⋊C4—21no—
667(C2×D43)⋊C4—21no—
668(C2×D43)⋊C4—21no—
669(C2×D43)⋊C4—21no—
670(C2×D43)⋊C4—21no—
671(C2×D43)⋊C4—21no—
672(C2×D43)⋊C4—21no—
673(C2×D43)⋊C4—21no—
674(C2×D43)⋊C4—21no—
675(C2×D43)⋊C4—21no—
676(C2×D43)⋊C4—21no—
677(C2×D43)⋊C4—21no—
678(C2×D43)⋊C4C2×D411yescharacteristic
679(C2×D43)⋊C4C2×D411yescharacteristic
680(C2×D43)⋊C4C2×D411yescharacteristic
681(C2×D43)⋊C4C2×D411yescharacteristic
682C4⋊Dic43—21no—
683C4⋊Dic43—21no—
684C4⋊Dic43—21no—
685C4⋊Dic43—21no—
686C4⋊Dic43C2×D411yescharacteristic
687C4⋊Dic43C2×D411yescharacteristic
688C4⋊Dic43C2411yescharacteristic
689C4⋊Dic43C2411yescharacteristic
690Dic43⋊C4—21no—
691Dic43⋊C4—21no—
692Dic43⋊C4—21no—
693Dic43⋊C4—21no—
694Dic43⋊C4—21no—
695Dic43⋊C4—21no—
696Dic43⋊C4—21no—
697Dic43⋊C4—21no—
698Dic43⋊C4—21no—
699Dic43⋊C4—21no—
700Dic43⋊C4—21no—
701Dic43⋊C4—21no—
702Dic43⋊C4—21no—
703Dic43⋊C4—21no—
704Dic43⋊C4—21no—
705Dic43⋊C4—21no—
706Dic43⋊C4C2×D411yescharacteristic
707Dic43⋊C4C2×D411yescharacteristic
708Dic43⋊C4C2×D411yescharacteristic
709Dic43⋊C4C2×D411yescharacteristic
710C4×Dic43—21no—
711C4×Dic43—21no—
712C4×Dic43—21no—
713C4×Dic43C2×D411yescharacteristic
714C4×Dic43C2×D411yescharacteristic
715C4×Dic43C2×D411yescharacteristic
716C4×Dic43C2×D411yescharacteristic
717C4×Dic43C2411yescharacteristic
718C4×Dic43C2411yescharacteristic
719C2×C43⋊C8C2411yescharacteristic
720C2×C43⋊C8C2411yescharacteristic
721C2×C43⋊C8C2411yescharacteristic
722C2×C43⋊C8C2411yescharacteristic
723Dic172—41no—
724Dic172—41no—
725D344—41no—
726D344—41no—
727#10621873—41no—
728#10621873—41no—
729#10621873—41no—
730#10621873—41no—
731#10621872—22no—
732#10621872—22no—
733C8×D43—22no—
734C8×D43—22no—
735C23×C43—21no—
736C23×C43—21no—
737C23×C43—21no—
738C23×C43C22×D411yescharacteristic
739C22×D43—21no—
740C22×D43—21no—
741C22×D43—21no—
742C22×D43—42no—
743C22×D43—42no—
744C22×D43—42no—
745C22×D43—81no—
746C22×D43—81no—
747C22×D43—81no—
748C22×D43—81no—
749C22×D43—81no—
750C22×D43—81no—
751C22×D43C22×D411yescharacteristic
752C22×D43C22×D411yescharacteristic
753Q8×C43—21no—
754Q8×C43—21no—
755Q8×C43—21no—
756Q8×C43—21no—
757Q8×C43—21no—
758Q8×C43—21no—
759D4×C43—21no—
760D4×C43—21no—
761D4×C43—21no—
762D4×C43—21no—
763D4×C43—21no—
764D4×C43—21no—
765D4×C43—42no—
766D4×C43—42no—
767D4×C43—81no—
768D4×C43—81no—
769D4×C43—81no—
770C2×C4×C43—21no—
771C2×C4×C43—21no—
772C2×C4×C43—21no—
773C2×C4×C43—21no—
774C2×C4×C43—21no—
775C2×C4×C43—21no—
776C2×C4×C43—21no—
777C2×C4×C43—41no—
778C2×C4×C43—41no—
779C2×C4×C43—42no—
780C2×C4×C43—42no—
781C2×C4×C43—81no—
782C2×C4×C43C22×D411yescharacteristic
783C2×C4×C43C22×D411yescharacteristic
784C2×C4×C43C22×D411yescharacteristic
785C2×C4×C43C22×D411yescharacteristic
786C2×C4×C43C22×D411yescharacteristic
787C2×C4×C43C2511yescharacteristic
788C22⋊D43—22no—
789C22⋊D43—22no—
790C22⋊D43—42no—
791C22⋊D43—42no—
792C22⋊D43—42no—
793C22⋊D43—42no—
794C22⋊D43—42no—
795C22⋊D43—81no—
796C22⋊D43—81no—
797C22⋊D43—81no—
798C22⋊D43—81no—
799C22⋊D43—81no—
800C22⋊D43—81no—
801C22⋊D43—81no—
802C22⋊D43—81no—
803C2×Dic43—21no—
804C2×Dic43—21no—
805C2×Dic43—21no—
806C2×Dic43—21no—
807C2×Dic43—21no—
808C2×Dic43—42no—
809C2×Dic43—42no—
810C2×Dic43—42no—
811C2×Dic43—42no—
812C2×Dic43—81no—
813C2×Dic43C22×D411yescharacteristic
814C2×Dic43C22×D411yescharacteristic
815C2×Dic43C22×D411yescharacteristic
816C2×Dic43C22×D411yescharacteristic
817C2×Dic43C22×D411yescharacteristic
818C2×Dic43C22×D411yescharacteristic
819D172—22no—
820D172—21no—
821D172—21no—
822D172—21no—
823D172—21no—
824D172—21no—
825D172—21no—
826D172—42no—
827D172—42no—
828D172—42no—
829D172—42no—
830D172—81no—
831C4×D43—21no—
832C4×D43—21no—
833C4×D43—41no—
834C4×D43—41no—
835C4×D43—41no—
836C4×D43—41no—
837C4×D43—42no—
838C4×D43—42no—
839C4×D43—42no—
840C4×D43—42no—
841C4×D43—42no—
842C4×D43—81no—
843C4×D43—81no—
844C4×D43—81no—
845C4×D43—81no—
846C4×D43H(5,𝔽2)12yes—
847C4×D43H(5,𝔽2)12yes—
848Dic86—22no—
849Dic86—21no—
850Dic86—21no—
851Dic86—21no—
852Dic86—21no—
853Dic86—21no—
854Dic86—21no—
855Dic86—42no—
856Dic86—42no—
857Dic86—42no—
858C8×C43—21no—
859C8×C43—21no—
860C8×C43—21no—
861C8×C43—21no—
862C43⋊C8—21no—
863C43⋊C8—21no—
864C43⋊C8—21no—
865C43⋊C8—21no—
866#60823—431nomaximal, Sylow
867C22×C43—21no—
868C22×C43—21no—
869C22×C43—21no—
870C22×C43—41no—
871C22×C43—41no—
872C22×C43—41no—
873C22×C43—41no—
874C22×C43—41no—
875C22×C43—41no—
876C22×C43—41no—
877C22×C43—41no—
878C22×C43—41no—
879C22×C43C23×D411yescharacteristic
880C2×D43—21no—
881C2×D43—21no—
882C2×D43—21no—
883C2×D43—21no—
884C2×D43—21no—
885C2×D43—41no—
886C2×D43—41no—
887C2×D43—41no—
888C2×D43—41no—
889C2×D43—41no—
890C2×D43—41no—
891C2×D43—41no—
892C2×D43—41no—
893C2×D43—41no—
894C2×D43—162no—
895C2×D43—162no—
896C2×D43—162no—
897C2×D43#53512yes—
898C4×C43—21no—
899C4×C43—21no—
900C4×C43—21no—
901C4×C43—21no—
902C4×C43—21no—
903C4×C43—41no—
904C4×C43—41no—
905C4×C43—41no—
906C4×C43—41no—
907C4×C43—41no—
908C4×C43C2×H(5,𝔽2)11yescharacteristic
909C4×C43C2×H(5,𝔽2)11yescharacteristic
910Dic43—21no—
911Dic43—21no—
912Dic43—21no—
913Dic43—21no—
914Dic43—21no—
915Dic43—41no—
916Dic43—41no—
917Dic43—41no—
918Dic43—41no—
919Dic43—41no—
920Dic43#53512yes—
921#3512—431no—
922#3500—431no—
923#3223—431no—
924#3223—431no—
925#3222—431no—
926#3222—431no—
927#3221—431no—
928#3221—431no—
929#3220—431no—
930#3220—431no—
931#3212—431no—
932#3212—431no—
933#3212—431no—
934#3212D4311yescharacteristic, complemented
935#3211—431no—
936#3211—431no—
937#3211—431no—
938#3211—431no—
939#3153—431no—
940#3147—431no—
941#3142—431no—
942C2×#488—431no—
943#3046—431no—
944#3046—431no—
945#3045—431no—
946#3045—431no—
947#3013—431no—
948#3013—431no—
949#3012—431no—
950#3012—431no—
951#2922—431no—
952C2×C43—41no—
953C2×C43—81no—
954C2×C43—81no—
955C2×C43—81no—
956C2×C43C2×#53511yescharacteristic
957C2×C43#358411yescharacteristic
958C2×C43#358411yescharacteristic
959D43—22no—
960D43—41no—
961D43—81no—
962D43—81no—
963D43—81no—
964C2×2−1+4—431no—
965C2×H(5,𝔽2)—431no—
966C2×#137—431no—
967C2×#137—431no—
968C2×AGL(1,ℤ/8)—431no—
969C2×AGL(1,ℤ/8)—431no—
970C2×#135—431no—
971C2×#135—431no—
972C2×#135—431no—
973C2×#135—431no—
974#553—861no—
975#553—861no—
976#553—861no—
977#553—861no—
978#553—861no—
979#553—861no—
980#552—861no—
981#552—861no—
982#548—861no—
983#548—861no—
984#546—861no—
985#546—861no—
986#546—861no—
987#546—861no—
988#546—861no—
989#546—861no—
990#541—431no—
991#541—431no—
992#540—431no—
993#540—431no—
994#537—431no—
995#537—431no—
996#536—431no—
997#536—431no—
998#536—431no—
999#535—431no—
1000#535—431no—
1001#535—431no—
1002#532—431no—
1003#532—431no—
1004#532—431no—
1005#532C2×D4311yescharacteristic
1006#529—431no—
1007#529—431no—
1008#529—431no—
1009#529C2×D4311yescharacteristic, complemented
1010C2×#125—431no—
1011C2×#124—431no—
1012C2×#124—431no—
1013C2×#124—431no—
1014#520—431no—
1015#520—431no—
1016C4×#41—431no—
1017#497—431no—
1018#497—431no—
1019#496—431no—
1020#496—431no—
1021#495—431no—
1022#495—431no—
1023#495—431no—
1024#495—431no—
1025#495—431no—
1026#495—431no—
1027#495C2×D4311yescharacteristic, complemented
1028#495C2×D4311yescharacteristic, complemented
1029#494—431no—
1030#493—431no—
1031#492—431no—
1032#492—431no—
1033#491—431no—
1034#491—431no—
1035#490—431no—
1036#490—431no—
1037#488—431no—
1038#488—431no—
1039#488—431no—
1040#488—431no—
1041#488—431no—
1042#488—431no—
1043#488—431no—
1044#488—431no—
1045#488—431no—
1046#488—431no—
1047#488C2×D4311yescharacteristic, complemented
1048#488C2×D4311yescharacteristic, complemented
1049#464—431no—
1050#464—431no—
1051#464—431no—
1052#464—431no—
1053#464—431no—
1054#464—431no—
1055#464—431no—
1056#464—431no—
1057#463—431no—
1058#463—431no—
1059#463—431no—
1060#463—431no—
1061#463—431no—
1062#463—431no—
1063#463—431no—
1064#463—431no—
1065#462—431no—
1066#462—431no—
1067#462—431no—
1068#462C2×D4311yescharacteristic, complemented
1069#461—431no—
1070#461—431no—
1071#461—431no—
1072#461C2×D4311yescharacteristic, complemented
1073#460—431no—
1074#460—431no—
1075#460—431no—
1076#460C2×D4311yescharacteristic, complemented
1077#459—431no—
1078#459—431no—
1079#459—431no—
1080#459C2×D4311yescharacteristic, complemented
1081#452—431no—
1082#452—431no—
1083#452—431no—
1084#452—431no—
1085#452—431no—
1086#452—431no—
1087#452C2×D4311yescharacteristic
1088#452C2×D4311yescharacteristic, complemented
1089#451—431no—
1090#451—431no—
1091#451—431no—
1092#451—431no—
1093#450—431no—
1094#450—431no—
1095#450—431no—
1096#450—431no—
1097#449—431no—
1098#449—431no—
1099#449—431no—
1100#449—431no—
1101#449—431no—
1102#449—431no—
1103#449C2×D4311yescharacteristic
1104#449C2×D4311yescharacteristic, complemented
1105#448—431no—
1106#448—431no—
1107#448—431no—
1108#448—431no—
1109#447—431no—
1110#447—431no—
1111#447—431no—
1112#447—431no—
1113#433—431no—
1114#433—431no—
1115#433—431no—
1116#433—431no—
1117#431—431no—
1118#431—431no—
1119#431—431no—
1120#431C2×D4311yescharacteristic, complemented
1121#424—431no—
1122#424—431no—
1123#417—431no—
1124#417—431no—
1125#417—431no—
1126#417—431no—
1127C2×#103—431no—
1128C2×#103—431no—
1129C2×#102—431no—
1130C2×#102—431no—
1131#408—431no—
1132#408—431no—
1133C4×M16—431no—
1134C2×C4×C8—431no—
1135C43#6082311yescharacteristic, complemented, Sylow
11362−1+4—1722no—
11372−1+4—1722no—
1138H(5,𝔽2)—1722no—
1139H(5,𝔽2)—1722no—
1140C2×#41—431no—
1141C2×#41—431no—
1142C2×#41—431no—
1143C2×#41—431no—
1144C2×#41—431no—
1145C2×#41—431no—
1146C2×#41—431no—
1147C2×#41—861no—
1148C2×#41—861no—
1149C2×#41—861no—
1150C2×#41—861no—
1151C2×#41C22×D4311yescharacteristic
1152C2×#41C22×D4311yescharacteristic
1153C22×Q8—431no—
1154C22×Q8—431no—
1155C22×Q8—431no—
1156C22×Q8—861no—
1157C22×D4—431no—
1158C22×D4—431no—
1159C22×D4—431no—
1160C22×D4—861no—
1161C22×D4—861no—
1162C22×D4—861no—
1163#137—1722no—
1164#137—1722no—
1165AGL(1,ℤ/8)—1722no—
1166AGL(1,ℤ/8)—1722no—
1167#135—1722no—
1168#135—1722no—
1169#135—1722no—
1170#135—1722no—
1171C2×Q16—431no—
1172C2×Q16—431no—
1173C2×Q16—431no—
1174C2×Q16—431no—
1175C2×Q16—431no—
1176C2×Q16—431no—
1177C2×Q16C22×D4311yescharacteristic
1178C2×Q16C22×D4311yescharacteristic
1179C2×SD16—431no—
1180C2×SD16—431no—
1181C2×SD16—431no—
1182C2×SD16—431no—
1183C2×SD16—431no—
1184C2×SD16—431no—
1185C2×SD16—431no—
1186C2×SD16—431no—
1187C2×SD16—431no—
1188C2×SD16—431no—
1189C2×SD16—431no—
1190C2×SD16—431no—
1191C2×SD16C22×D4311yescharacteristic
1192C2×SD16C22×D4311yescharacteristic
1193C2×SD16C22×D4311yescharacteristic
1194C2×SD16C22×D4311yescharacteristic
1195C2×D8—431no—
1196C2×D8—431no—
1197C2×D8—431no—
1198C2×D8—431no—
1199C2×D8—431no—
1200C2×D8—431no—
1201C2×D8C22×D4311yescharacteristic
1202C2×D8C22×D4311yescharacteristic
1203C2×M16—431no—
1204C2×M16—431no—
1205C22×C8—431no—
1206C22×C8—431no—
1207C4⋊Q8—431no—
1208C4⋊Q8—431no—
1209C4⋊Q8—431no—
1210C4⋊Q8C22×D4311yescharacteristic
1211#127—431no—
1212#127—431no—
1213#127—431no—
1214#127C22×D4311yescharacteristic
1215#126—21no—
1216#126—861no—
1217#126—861no—
1218#126—861no—
1219#126—861no—
1220#126—861no—
1221#126—861no—
1222#126—861no—
1223#125—431no—
1224#125—431no—
1225#125—431no—
1226#125—861no—
1227#125—861no—
1228#125—861no—
1229#125—861no—
1230#125—861no—
1231#125—861no—
1232#125C22×D4311yescharacteristic
1233#124—431no—
1234#124—431no—
1235#124—431no—
1236#124—431no—
1237#124—431no—
1238#124—431no—
1239#124—431no—
1240#124—431no—
1241#124—431no—
1242#124—861no—
1243#124—861no—
1244#124—861no—
1245#124—861no—
1246#124—861no—
1247#124—861no—
1248#124C22×D4311yescharacteristic
1249#124C22×D4311yescharacteristic
1250#124C22×D4311yescharacteristic
1251#123—21no—
1252#123—861no—
1253#123—861no—
1254#123—861no—
1255#123—861no—
1256#123—861no—
1257#123—861no—
1258#123—861no—
1259#123—861no—
1260#123—861no—
1261#123—861no—
1262#123—861no—
1263#123—861no—
1264#123—861no—
1265C22⋊Q8—431no—
1266C22⋊Q8—431no—
1267C22⋊Q8—431no—
1268C22⋊Q8—861no—
1269C22⋊Q8—861no—
1270C22⋊Q8—861no—
1271C22⋊Q8—861no—
1272C22⋊Q8—861no—
1273C22⋊Q8—861no—
1274C22⋊Q8—861no—
1275C22⋊Q8—861no—
1276C22⋊Q8C22×D4311yescharacteristic
1277#121—21no—
1278#121—21no—
1279#121—431no—
1280#121—431no—
1281#121—431no—
1282#121—861no—
1283#121—861no—
1284#121—861no—
1285#121—861no—
1286#121—861no—
1287#121—861no—
1288#121—861no—
1289#121—861no—
1290#121—861no—
1291#121—861no—
1292#121—861no—
1293#121—861no—
1294#121—861no—
1295#121—861no—
1296#121—861no—
1297#121—861no—
1298#121—861no—
1299#121—861no—
1300#121—861no—
1301#121—861no—
1302#121—861no—
1303#121—861no—
1304#121C22×D4311yescharacteristic
1305#120—861no—
1306#120—861no—
1307#120—861no—
1308#120—861no—
1309#120—861no—
1310#120—861no—
1311C4×Q8—431no—
1312C4×Q8—431no—
1313C4×Q8—431no—
1314C4×Q8—431no—
1315C4×Q8—431no—
1316C4×Q8C22×D4311yescharacteristic
1317C4×D4—21no—
1318C4×D4—21no—
1319C4×D4—21no—
1320C4×D4—431no—
1321C4×D4—431no—
1322C4×D4—431no—
1323C4×D4—431no—
1324C4×D4—431no—
1325C4×D4—431no—
1326C4×D4—431no—
1327C4×D4—431no—
1328C4×D4—431no—
1329C4×D4—861no—
1330C4×D4—861no—
1331C4×D4—861no—
1332C4×D4—861no—
1333C4×D4—861no—
1334C4×D4—861no—
1335C4×D4—861no—
1336C4×D4—861no—
1337C4×D4—861no—
1338C4×D4—861no—
1339C4×D4—861no—
1340C4×D4—861no—
1341C4×D4—861no—
1342C4×D4C22×D4311yescharacteristic
1343#117—21no—
1344#117—431no—
1345#117—431no—
1346#117—431no—
1347#117—861no—
1348#117—861no—
1349#117—861no—
1350#117—861no—
1351#117—861no—
1352C2×C4⋊C4—431no—
1353C2×C4⋊C4—431no—
1354C2×C4⋊C4—861no—
1355C2×C4⋊C4—861no—
1356C2×C4⋊C4—861no—
1357C2×C4⋊C4—861no—
1358C2×C22⋊C4—861no—
1359C2×C22⋊C4—861no—
1360C2×C22⋊C4—861no—
1361C2×C22⋊C4—861no—
1362C2×C22⋊C4—861no—
1363C2×C22⋊C4—861no—
1364C2×C42—431no—
1365C2×C42—431no—
1366C2×C42C22×D4311yescharacteristic
1367C4⋊C8—431no—
1368C4⋊C8—431no—
1369C4⋊C8—431no—
1370C4⋊C8—431no—
1371C4⋊C8—431no—
1372C4⋊C8—431no—
1373C4⋊C8C22×D4311yescharacteristic
1374C4⋊C8C22×D4311yescharacteristic
1375#103—431no—
1376#103—431no—
1377#103—431no—
1378#103—431no—
1379#103—431no—
1380#103—431no—
1381#103—431no—
1382#103—431no—
1383#103—431no—
1384#103—431no—
1385#103—431no—
1386#103—431no—
1387#103C22×D4311yescharacteristic
1388#103C22×D4311yescharacteristic
1389#103C22×D4311yescharacteristic
1390#103C22×D4311yescharacteristic
1391#102—431no—
1392#102—431no—
1393#102—431no—
1394#102—431no—
1395#102—431no—
1396#102—431no—
1397#102—431no—
1398#102—431no—
1399#102—431no—
1400#102—431no—
1401#102—431no—
1402#102—431no—
1403#102C22×D4311yescharacteristic
1404#102C22×D4311yescharacteristic
1405#102C22×D4311yescharacteristic
1406#102C22×D4311yescharacteristic
1407C22⋊C8—431no—
1408C22⋊C8—431no—
1409C22⋊C8—431no—
1410C22⋊C8—431no—
1411C22⋊C8—431no—
1412C22⋊C8—431no—
1413C22⋊C8C22×D4311yescharacteristic
1414C22⋊C8C22×D4311yescharacteristic
1415#97—431no—
1416#97—431no—
1417C4×C8—431no—
1418C4×C8—431no—
1419C4×C8—431no—
1420C4×C8—431no—
1421C4×C8C22×D4311yescharacteristic
1422C4×C8C22×D4311yescharacteristic
1423C24—861no—
1424C24—861no—
1425C24—861no—
1426#41—41no—
1427#41—41no—
1428#41—41no—
1429#41—41no—
1430#41—862no—
1431#41—862no—
1432#41—862no—
1433#41—862no—
1434#41—862no—
1435#41—862no—
1436#41—862no—
1437#41—862no—
1438#41—862no—
1439#41—862no—
1440#41—1724no—
1441#41—1724no—
1442#41—1721no—
1443#41—1721no—
1444#41—1721no—
1445#41—1721no—
1446#41—1724no—
1447#41—1724no—
1448C2×Q8—431no—
1449C2×Q8—431no—
1450C2×Q8—431no—
1451C2×Q8—431no—
1452C2×Q8—861no—
1453C2×Q8—861no—
1454C2×Q8—862no—
1455C2×Q8—862no—
1456C2×Q8—861no—
1457C2×Q8—1721no—
1458C2×Q8—1721no—
1459C2×Q8—1724no—
1460C2×Q8—1721no—
1461C2×Q8—1721no—
1462C2×Q8C23×D4311yescharacteristic
1463C2×Q8C23×D4311yescharacteristic
1464C2×Q8C23×D4311yescharacteristic
1465C2×D4—21no—
1466C2×D4—21no—
1467C2×D4—21no—
1468C2×D4—21no—
1469C2×D4—21no—
1470C2×D4—431no—
1471C2×D4—431no—
1472C2×D4—431no—
1473C2×D4—431no—
1474C2×D4—431no—
1475C2×D4—431no—
1476C2×D4—861no—
1477C2×D4—861no—
1478C2×D4—861no—
1479C2×D4—861no—
1480C2×D4—862no—
1481C2×D4—862no—
1482C2×D4—861no—
1483C2×D4—861no—
1484C2×D4—861no—
1485C2×D4—861no—
1486C2×D4—861no—
1487C2×D4—861no—
1488C2×D4—861no—
1489C2×D4—861no—
1490C2×D4—861no—
1491C2×D4—861no—
1492C2×D4—861no—
1493C2×D4—861no—
1494C2×D4—861no—
1495C2×D4—861no—
1496C2×D4—1721no—
1497C2×D4—1721no—
1498C2×D4—1724no—
1499C2×D4—1721no—
1500C2×D4—1721no—
1501C2×D4—1724no—
1502C2×D4—1724no—
1503C2×D4C23×D4311yescharacteristic
1504C2×D4C23×D4311yescharacteristic
1505C2×D4C23×D4311yescharacteristic
1506C22×C4—21no—
1507C22×C4—21no—
1508C22×C4—21no—
1509C22×C4—431no—
1510C22×C4—431no—
1511C22×C4—431no—
1512C22×C4—431no—
1513C22×C4—431no—
1514C22×C4—431no—
1515C22×C4—861no—
1516C22×C4—861no—
1517C22×C4—861no—
1518C22×C4—861no—
1519C22×C4—861no—
1520C22×C4—861no—
1521C22×C4—861no—
1522C22×C4—861no—
1523C22×C4—861no—
1524C22×C4—861no—
1525C22×C4—861no—
1526C22×C4—861no—
1527C22×C4—861no—
1528C22×C4—861no—
1529C22×C4D4×D4311yescharacteristic
1530C22×C4D4×D4311yescharacteristic
1531C22×C4C23×D4311yescharacteristic
1532Q16—41no—
1533Q16—41no—
1534Q16—1721no—
1535Q16—1721no—
1536Q16—1721no—
1537Q16—1721no—
1538Q16—1721no—
1539Q16—1721no—
1540SD16—41no—
1541SD16—41no—
1542SD16—41no—
1543SD16—41no—
1544SD16—1721no—
1545SD16—1721no—
1546SD16—1721no—
1547SD16—1721no—
1548SD16—1721no—
1549SD16—1721no—
1550SD16—1721no—
1551SD16—1721no—
1552SD16—1721no—
1553SD16—1721no—
1554SD16—1721no—
1555SD16—1721no—
1556D8—41no—
1557D8—41no—
1558D8—1721no—
1559D8—1721no—
1560D8—1721no—
1561D8—1721no—
1562D8—1721no—
1563D8—1721no—
1564M16—862no—
1565M16—862no—
1566C2×C8—431no—
1567C2×C8—431no—
1568C2×C8—431no—
1569C2×C8—431no—
1570C2×C8—862no—
1571C2×C8—862no—
1572C2×C8C23×D4311yescharacteristic
1573C2×C8C23×D4311yescharacteristic
1574C2×C8C23×D4311yescharacteristic
1575C2×C8C23×D4311yescharacteristic
1576C4⋊C4—21no—
1577C4⋊C4—21no—
1578C4⋊C4—21no—
1579C4⋊C4—21no—
1580C4⋊C4—21no—
1581C4⋊C4—21no—
1582C4⋊C4—431no—
1583C4⋊C4—431no—
1584C4⋊C4—431no—
1585C4⋊C4—431no—
1586C4⋊C4—431no—
1587C4⋊C4—431no—
1588C4⋊C4—431no—
1589C4⋊C4—431no—
1590C4⋊C4—861no—
1591C4⋊C4—861no—
1592C4⋊C4—861no—
1593C4⋊C4—861no—
1594C4⋊C4—861no—
1595C4⋊C4—861no—
1596C4⋊C4—861no—
1597C4⋊C4—861no—
1598C4⋊C4—861no—
1599C4⋊C4—861no—
1600C4⋊C4—861no—
1601C4⋊C4—861no—
1602C4⋊C4—861no—
1603C4⋊C4—861no—
1604C4⋊C4—861no—
1605C4⋊C4—861no—
1606C4⋊C4—861no—
1607C4⋊C4—861no—
1608C4⋊C4—861no—
1609C4⋊C4—861no—
1610C4⋊C4C23×D4311yescharacteristic
1611C4⋊C4C23×D4311yescharacteristic
1612C22⋊C4—21no—
1613C22⋊C4—21no—
1614C22⋊C4—21no—
1615C22⋊C4—21no—
1616C22⋊C4—21no—
1617C22⋊C4—21no—
1618C22⋊C4—21no—
1619C22⋊C4—21no—
1620C22⋊C4—21no—
1621C22⋊C4—431no—
1622C22⋊C4—431no—
1623C22⋊C4—431no—
1624C22⋊C4—431no—
1625C22⋊C4—431no—
1626C22⋊C4—431no—
1627C22⋊C4—861no—
1628C22⋊C4—861no—
1629C22⋊C4—861no—
1630C22⋊C4—861no—
1631C22⋊C4—861no—
1632C22⋊C4—861no—
1633C22⋊C4—861no—
1634C22⋊C4—861no—
1635C22⋊C4—861no—
1636C22⋊C4—861no—
1637C22⋊C4—861no—
1638C22⋊C4—861no—
1639C22⋊C4—861no—
1640C22⋊C4—861no—
1641C22⋊C4—861no—
1642C22⋊C4—861no—
1643C22⋊C4—861no—
1644C22⋊C4—861no—
1645C22⋊C4—861no—
1646C22⋊C4—861no—
1647C22⋊C4—861no—
1648C22⋊C4—861no—
1649C22⋊C4—861no—
1650C22⋊C4—861no—
1651C22⋊C4—861no—
1652C22⋊C4—861no—
1653C22⋊C4—861no—
1654C42—21no—
1655C42—431no—
1656C42—431no—
1657C42—431no—
1658C42—431no—
1659C42—431no—
1660C42—431no—
1661C42—861no—
1662C42—861no—
1663C42—861no—
1664C42D4×D4311yescharacteristic
1665C42D4×D4311yescharacteristic
1666C42C23×D4311yescharacteristic
1667C42C23×D4311yescharacteristic
1668C23—21no—
1669C23—21no—
1670C23—21no—
1671C23—431no—
1672C23—431no—
1673C23—861no—
1674C23—861no—
1675C23—861no—
1676C23—3441no—
1677C23—3441no—
1678C23—3441no—
1679C23—3441no—
1680C23—3441no—
1681C23—3441no—
1682C23—1722no—
1683C23—1722no—
1684C23—1722no—
1685C23C2×D4×D4311yescharacteristic
1686Q8—21no—
1687Q8—21no—
1688Q8—21no—
1689Q8—21no—
1690Q8—21no—
1691Q8—21no—
1692Q8—862no—
1693Q8—861no—
1694Q8—861no—
1695Q8—861no—
1696Q8—861no—
1697Q8—861no—
1698Q8—861no—
1699Q8—1722no—
1700Q8—1722no—
1701Q8—1722no—
1702D4—21no—
1703D4—21no—
1704D4—21no—
1705D4—21no—
1706D4—21no—
1707D4—21no—
1708D4—42no—
1709D4—42no—
1710D4—81no—
1711D4—81no—
1712D4—81no—
1713D4—862no—
1714D4—862no—
1715D4—862no—
1716D4—861no—
1717D4—861no—
1718D4—861no—
1719D4—861no—
1720D4—861no—
1721D4—861no—
1722D4—3441no—
1723D4—3441no—
1724D4—3441no—
1725D4—3441no—
1726D4—3441no—
1727D4—3441no—
1728D4—3441no—
1729D4—3441no—
1730D4—3441no—
1731D4—1722no—
1732D4—1722no—
1733D4—1722no—
1734D4—1722no—
1735D4—1722no—
1736D4—1722no—
1737D4—1722no—
1738D4—1722no—
1739D4—1722no—
1740C2×C4—21no—
1741C2×C4—21no—
1742C2×C4—21no—
1743C2×C4—21no—
1744C2×C4—21no—
1745C2×C4—21no—
1746C2×C4—21no—
1747C2×C4—41no—
1748C2×C4—41no—
1749C2×C4—42no—
1750C2×C4—42no—
1751C2×C4—81no—
1752C2×C4—431no—
1753C2×C4—432no—
1754C2×C4—432no—
1755C2×C4—431no—
1756C2×C4—431no—
1757C2×C4—431no—
1758C2×C4—431no—
1759C2×C4—431no—
1760C2×C4—861no—
1761C2×C4—861no—
1762C2×C4—861no—
1763C2×C4—861no—
1764C2×C4—861no—
1765C2×C4—861no—
1766C2×C4—861no—
1767C2×C4—3441no—
1768C2×C4—3441no—
1769C2×C4—3441no—
1770C2×C4—3441no—
1771C2×C4—3441no—
1772C2×C4—1721no—
1773C2×C4—1721no—
1774C2×C4—1721no—
1775C2×C4—1721no—
1776C2×C4—1722no—
1777C2×C4—1722no—
1778C2×C4—1722no—
1779C2×C4—1722no—
1780C2×C4—1722no—
1781C2×C4—1722no—
1782C2×C4—1722no—
1783C2×C4—1722no—
1784C2×C4—1722no—
1785C2×C4C2×D4×D4311yescharacteristic
1786C2×C4C2×D4×D4311yescharacteristic
1787C2×C4C2×D4×D4311yescharacteristic
1788C2×C4C2×D4×D4311yescharacteristic
1789C2×C4C2×D4×D4311yescharacteristic
1790C2×C4C24×D4311yescharacteristic
1791C8—21no—
1792C8—21no—
1793C8—21no—
1794C8—21no—
1795C8—861no—
1796C8—861no—
1797C8—861no—
1798C8—861no—
1799C22—21no—
1800C22—21no—
1801C22—21no—
1802C22—41no—
1803C22—41no—
1804C22—41no—
1805C22—41no—
1806C22—41no—
1807C22—41no—
1808C22—41no—
1809C22—41no—
1810C22—41no—
1811C22—432no—
1812C22—861no—
1813C22—861no—
1814C22—861no—
1815C22—861no—
1816C22—861no—
1817C22—1721no—
1818C22—1721no—
1819C22—1721no—
1820C22—1721no—
1821C22—1721no—
1822C22—1721no—
1823C22—1721no—
1824C22—1721no—
1825C22—1721no—
1826C22—6882no—
1827C22—6882no—
1828C22—6882no—
1829C22C22×D4×D4311yescharacteristic
1830C4—21no—
1831C4—21no—
1832C4—21no—
1833C4—21no—
1834C4—21no—
1835C4—41no—
1836C4—41no—
1837C4—41no—
1838C4—41no—
1839C4—41no—
1840C4—432no—
1841C4—861no—
1842C4—861no—
1843C4—861no—
1844C4—861no—
1845C4—861no—
1846C4—1721no—
1847C4—1721no—
1848C4—1721no—
1849C4—1721no—
1850C4—1721no—
1851C4H(5,𝔽2)×D4311yescharacteristic
1852C4H(5,𝔽2)×D4311yescharacteristic
1853C2—41no—
1854C2—81no—
1855C2—81no—
1856C2—81no—
1857C2—862no—
1858C2—3441no—
1859C2—3441no—
1860C2—3441no—
1861C2—1721no—
1862C2#535×D4311yescharacteristic
1863C2#1914936411yescharacteristic
1864C2#1914936811yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3212C2
socleC22×C43C23×D4
hypercenter#3212D43
hypocenterC43#60823
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C2×C42 ◁ #3212

Complements

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

NH ≅ G/Ntype
1. #19148510C2semidirect
2. #19148382C2semidirect
3. #19145677C2semidirect
4. #19145676C2semidirect
5. #19145666C2semidirect
6. #19145665C2semidirect
7. #19145655C2semidirect
8. #19145654C2semidirect
9. #19145644C2semidirect
10. #19145643C2semidirect
11. #19145572C2semidirect
12. #19145571C2semidirect
13. #19145566C2semidirect
14. #19145562C2semidirect
15. #19145561C2semidirect
16. #19145556C2semidirect
17. #19145555C2semidirect
18. #19145056C2semidirect
19. #19145020C2semidirect
20. #19144992C2semidirect
21. #488×D43C2semidirect
22. #19144142C2semidirect
23. #19144140C2semidirect
24. #19144131C2semidirect
25. #19144129C2semidirect
26. #19143914C2semidirect
27. #19143908C2semidirect
28. #19143903C2semidirect
29. #19143897C2semidirect
30. #19143234C2semidirect
31. C43×#3212C2semidirect
34. C2×#13063357C22semidirect
35. C2×#13063354C22semidirect
40. C2×#13063346C22semidirect
41. C2×#13063344C22semidirect
58. #14583509C22semidirect
59. #14583507C22semidirect
60. #14583502C22semidirect
61. #14583500C22semidirect
72. #14583448C22semidirect
73. #14583434C22semidirect
74. #14583433C22semidirect
75. #14583428C22semidirect
76. #125×D43C22semidirect
80. #14583381C22semidirect
81. #14583378C22semidirect
83. #14583292C22semidirect
84. #14583290C22semidirect
85. #14583287C22semidirect
86. #14583285C22semidirect
87. #14583283C22semidirect
88. #14583283C22semidirect
89. #14583281C22semidirect
90. #14583281C22semidirect
91. #14583281C22semidirect
92. #14583281C22semidirect
93. #14583277C22semidirect
94. #14583274C22semidirect
95. #14583270C22semidirect
96. #14583270C22semidirect
97. #14583266C22semidirect
98. #14583266C22semidirect
99. #14583262C22semidirect
100. #14583262C22semidirect
101. #14583256C22semidirect
102. #14583256C22semidirect
103. #14583255C22semidirect
104. #14583255C22semidirect
105. #14583254C22semidirect
106. #14583254C22semidirect
107. #14583253C22semidirect
108. #14583253C22semidirect
109. #14583252C22semidirect
110. #14583252C22semidirect
111. #14583124C22semidirect
112. #14583123C22semidirect
113. #14583122C22semidirect
114. #14583122C22semidirect
115. #14583121C22semidirect
116. #14583121C22semidirect
117. #14583120C22semidirect
118. #14583119C22semidirect
119. #14583117C22semidirect
120. #14583116C22semidirect
121. #14583115C22semidirect
122. #14583115C22semidirect
123. #14583114C22semidirect
124. #14583114C22semidirect
125. #14583113C22semidirect
126. #14583112C22semidirect
127. #14583108C22semidirect
128. #14583107C22semidirect
129. #14583106C22semidirect
130. #14583103C22semidirect
131. #14583102C22semidirect
132. #14583101C22semidirect
133. #14583098C22semidirect
134. #14583097C22semidirect
135. #14583096C22semidirect
136. #14583093C22semidirect
137. #14583092C22semidirect
138. #14583091C22semidirect
140. #14583062C22semidirect
142. #14583061C22semidirect
144. #14583058C22semidirect
145. #14583057C22semidirect
146. #14583056C22semidirect
147. #14583054C22semidirect
148. #14583053C22semidirect
154. #14583045C22semidirect
156. #14583044C22semidirect
158. #14583041C22semidirect
159. #14583040C22semidirect
160. #14583039C22semidirect
161. #14583037C22semidirect
162. #14583036C22semidirect
167. #14582959C22semidirect
168. #14582959C22semidirect
169. #14582957C22semidirect
170. #14582957C22semidirect
171. #14582952C22semidirect
172. #14582950C22semidirect
173. #14582950C22semidirect
174. #14582924C22semidirect
175. #14582924C22semidirect
178. #14582897C22semidirect
179. #14582897C22semidirect
180. #103×D43C22semidirect
181. #103×D43C22semidirect
186. C4×#10621872C22semidirect
187. C4×C8×D43C22semidirect
189. C43×#529C22semidirect
190. C43×#495C22semidirect
191. C43×#495C22semidirect
192. C43×#488C22semidirect
193. C43×#488C22semidirect
194. C43×#462C22semidirect
195. C43×#461C22semidirect
196. C43×#460C22semidirect
197. C43×#459C22semidirect
199. C43×#452C22semidirect
201. C43×#449C22semidirect
202. C43×#431C22semidirect
934. #3212D43semidirect
1009. #529C2×D43semidirect
1027. #495C2×D43semidirect
1028. #495C2×D43semidirect
1047. #488C2×D43semidirect
1048. #488C2×D43semidirect
1068. #462C2×D43semidirect
1072. #461C2×D43semidirect
1076. #460C2×D43semidirect
1080. #459C2×D43semidirect
1088. #452C2×D43semidirect
1104. #449C2×D43semidirect
1120. #431C2×D43semidirect
1135. C43#60823semidirect

Maximal subgroups

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

subgroupindex
#191485102
#191483822
#191456772
#191456762
#191456662
#191456652
#191456552
#191456542
#191456442
#191456432
#191455722
#191455712
#191455662
#191455622
#191455612
#191455562
#191455552
#191450562
#191450202
#191449922
#488×D432
#191441422
#191441402
#191441312
#191441292
#191439142
#191439082
#191439032
#191438972
#191432342
C43×#32122
#6082343