Finite Group Databasebeta

← #25968359

Subgroups — #25968359

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#19148385C211yesmaximal, characteristic, complemented
3#19145675C211yesmaximal, characteristic, complemented
4#19145674C211yesmaximal, characteristic, complemented
5#19145664C211yesmaximal, characteristic, complemented
6#19145663C211yesmaximal, characteristic, complemented
7#19145653C211yesmaximal, characteristic, complemented
8#19145652C211yesmaximal, characteristic, complemented
9#19145642C211yesmaximal, characteristic, complemented
10#19145641C211yesmaximal, characteristic, complemented
11#19145573C211yesmaximal, characteristic, complemented
12#19145572C211yesmaximal, characteristic, complemented
13#19145567C211yesmaximal, characteristic, complemented
14#19145566C211yesmaximal, characteristic, complemented
15#19145561C211yesmaximal, characteristic, complemented
16#19145560C211yesmaximal, characteristic, complemented
17#19145555C211yesmaximal, characteristic, complemented
18#19145056C211yesmaximal, characteristic, complemented
19#19145020C211yesmaximal, characteristic, complemented
20#19144992C211yesmaximal, characteristic, complemented
21#488×D43C211yesmaximal, characteristic, complemented
22#19144148C211yesmaximal, characteristic, complemented
23#19144146C211yesmaximal, characteristic, complemented
24#19144137C211yesmaximal, characteristic, complemented
25#19144135C211yesmaximal, characteristic, complemented
26#19143911C211yesmaximal, characteristic, complemented
27#19143905C211yesmaximal, characteristic, complemented
28#19143900C211yesmaximal, characteristic, complemented
29#19143894C211yesmaximal, characteristic, complemented
30#19143234C211yesmaximal, characteristic, complemented
31C43×#3211C211yesmaximal, characteristic, complemented
32C2×#13063373C2211yescharacteristic
33C2×#13063370C2211yescharacteristic
34C2×#13063357C2211yescharacteristic, complemented
35C2×#13063354C2211yescharacteristic, complemented
36C2×#13063352C2211yescharacteristic
37C2×#13063349C2211yescharacteristic
38C2×#13063348C2211yescharacteristic, complemented
39C2×#13063346C2211yescharacteristic
40C2×#13063346C2211yescharacteristic, complemented
41C2×#13063344C2211yescharacteristic
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#14583557—21no—
51#14583557—21no—
52#14583542—21no—
53#14583542—21no—
54#14583539—21no—
55#14583539—21no—
56#14583539—21no—
57#14583539—21no—
58#14583509C2211yescharacteristic, complemented
59#14583507C2211yescharacteristic, complemented
60#14583502C2211yescharacteristic, complemented
61#14583500C2211yescharacteristic, complemented
62#14583479C2211yescharacteristic
63#14583478C2211yescharacteristic
64#14583473C2211yescharacteristic
65#14583469C2211yescharacteristic
66#14583469C2211yescharacteristic
67#14583467C2211yescharacteristic
68#14583467C2211yescharacteristic
69#14583466C2211yescharacteristic
70#14583449C2211yescharacteristic
71#14583448C2211yescharacteristic
72#14583448C2211yescharacteristic
73#14583448C2211yescharacteristic, complemented
74#14583434C2211yescharacteristic, complemented
75#14583433C2211yescharacteristic, complemented
76#14583428C2211yescharacteristic, complemented
77#125×D43C2211yescharacteristic, complemented
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#14583120C2211yescharacteristic, complemented
114#14583119C2211yescharacteristic, complemented
115#14583118C2211yescharacteristic, complemented
116#14583118C2211yescharacteristic, complemented
117#14583117C2211yescharacteristic, complemented
118#14583116C2211yescharacteristic, complemented
119#14583113C2211yescharacteristic, complemented
120#14583112C2211yescharacteristic, complemented
121#14583111C2211yescharacteristic, complemented
122#14583111C2211yescharacteristic, complemented
123#14583110C2211yescharacteristic, complemented
124#14583109C2211yescharacteristic, complemented
125#14583108C2211yescharacteristic, complemented
126#14583107C2211yescharacteristic, complemented
127#14583105C2211yescharacteristic, complemented
128#14583104C2211yescharacteristic, complemented
129#14583103C2211yescharacteristic, complemented
130#14583102C2211yescharacteristic, complemented
131#14583100C2211yescharacteristic, complemented
132#14583099C2211yescharacteristic, complemented
133#14583098C2211yescharacteristic, complemented
134#14583097C2211yescharacteristic, complemented
135#14583095C2211yescharacteristic, complemented
136#14583094C2211yescharacteristic, complemented
137#14583093C2211yescharacteristic, complemented
138#14583092C2211yescharacteristic, complemented
139#14583064C2211yescharacteristic, complemented
140#14583063C2211yescharacteristic
141#14583063C2211yescharacteristic, complemented
142#14583062C2211yescharacteristic
143#14583060C2211yescharacteristic, complemented
144#14583059C2211yescharacteristic
145#14583059C2211yescharacteristic, complemented
146#14583058C2211yescharacteristic
147#14583056C2211yescharacteristic, complemented
148#14583055C2211yescharacteristic, complemented
149#14583053C2211yescharacteristic, complemented
150#14583051C2211yescharacteristic
151#14583050C2211yescharacteristic
152#14583048C2211yescharacteristic
153#14583047C2211yescharacteristic, complemented
154#14583046C2211yescharacteristic
155#14583046C2211yescharacteristic, complemented
156#14583045C2211yescharacteristic
157#14583043C2211yescharacteristic, complemented
158#14583042C2211yescharacteristic
159#14583042C2211yescharacteristic, complemented
160#14583041C2211yescharacteristic
161#14583039C2211yescharacteristic, complemented
162#14583038C2211yescharacteristic, complemented
163#14583036C2211yescharacteristic, complemented
164#14583034C2211yescharacteristic
165#14583033C2211yescharacteristic
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, complemented
177#14582899C2211yescharacteristic, complemented
178#14582897C2211yescharacteristic
179#14582897C2211yescharacteristic
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×#529C2211yescharacteristic, complemented
189C2×#124×C43C2211yescharacteristic
190C43×#495C2211yescharacteristic, complemented
191C43×#495C2211yescharacteristic, complemented
192C43×#488C2211yescharacteristic, complemented
193C43×#488C2211yescharacteristic, complemented
194C43×#464C2211yescharacteristic, complemented
195C43×#464C2211yescharacteristic, complemented
196C43×#463C2211yescharacteristic, complemented
197C43×#463C2211yescharacteristic, complemented
198C43×#451C2211yescharacteristic, complemented
199C43×#450C2211yescharacteristic
200C43×#448C2211yescharacteristic, complemented
201C43×#447C2211yescharacteristic
202C43×#431C2211yescharacteristic, complemented
203#13063373—42no—
204#13063373—42no—
205#13063370—42no—
206#13063370—42no—
207C2×#10621902—21no—
208C2×#10621902C2311yescharacteristic
209C2×#10621902C2311yescharacteristic
210C2×#10621902C2311yescharacteristic
211C2×#10621898—21no—
212C2×#10621898—21no—
213C2×#10621898C2311yescharacteristic
214C2×#10621898C2311yescharacteristic
215C2×#10621898C2311yescharacteristic
216C2×#10621900—21no—
217C2×#10621900C2311yescharacteristic
218C2×#10621900C2311yescharacteristic
219C2×#10621900C2311yescharacteristic
220C2×Q8×D43—21no—
221C2×Q8×D43C2311yescharacteristic
222C2×Q8×D43C2311yescharacteristic
223C22×C22⋊D43—21no—
224C22×C22⋊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#13063325C2311yescharacteristic
265#13063323C2311yescharacteristic
266#13063323C2311yescharacteristic
267#13063323C2311yescharacteristic
268#13063322C2311yescharacteristic
269#13063321C2311yescharacteristic
270#13063321C2311yescharacteristic
271#13063321C2311yescharacteristic
272#13063320—21no—
273#13063320—21no—
274#13063319—21no—
275#13063319—21no—
276#13063318—21no—
277#13063318—21no—
278#13063318—21no—
279#13063317—21no—
280#13063317C2311yescharacteristic
281#13063316—21no—
282#13063316C2311yescharacteristic
283#13063316C2311yescharacteristic
284#13063315—21no—
285#13063315—21no—
286#13063315—21no—
287#13063315—21no—
288#13063314C2311yescharacteristic
289#13063314C2311yescharacteristic
290#13063313C2311yescharacteristic
291#13063313C2311yescharacteristic
292#13063313C2311yescharacteristic
293#13063312C2311yescharacteristic
294#13063312C2311yescharacteristic
295#13063311—21no—
296#13063311—21no—
297#13063311—21no—
298#13063311—21no—
299#13063310—21no—
300#13063309—21no—
301#13063308—21no—
302#13063308—21no—
303#13063308—21no—
304#13063308—21no—
305#13063307—21no—
306#13063307—21no—
307#13063307—21no—
308#13063307—21no—
309#13063307—21no—
310#13063307—21no—
311#13063307—21no—
312#13063305C2311yescharacteristic
313#13063304C2311yescharacteristic
314#13063303—21no—
315#13063302—21no—
316#13063302—21no—
317#13063302—21no—
318#13063302—21no—
319#13063302—21no—
320#13063301—21no—
321#13063301—21no—
322#13063301C2311yescharacteristic
323#13063300—21no—
324#13063300C2311yescharacteristic
325#13063299—21no—
326#13063299—21no—
327#13063299—21no—
328#13063299C2311yescharacteristic
329#13063298—21no—
330#13063298—21no—
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#13063298—21no—
342#13063298—21no—
343#13063297—21no—
344#13063297—21no—
345#13063296—21no—
346#13063296—21no—
347#13063296—21no—
348#13063296—21no—
349#13063296C2311yescharacteristic
350#13063295—21no—
351#13063295—21no—
352#13063295—21no—
353#13063295—21no—
354#13063294—21no—
355#13063294—21no—
356Q8×Dic43C2311yescharacteristic
357C4×Dic86D411yescharacteristic
358C4×Dic86D411yescharacteristic
359C4×Dic86C2311yescharacteristic
360#13063290C2311yescharacteristic
361C4×D172—21no—
362C4×D172—21no—
363C4×D172—21no—
364C4×D172D411yescharacteristic
365C4×D172D411yescharacteristic
366C4×D172C2311yescharacteristic
367D4×Dic43C2311yescharacteristic
368#13063287—21no—
369#13063287—21no—
370#13063287C2311yescharacteristic
371C4×C22⋊D43—21no—
372C4×C22⋊D43—21no—
373C4×C22⋊D43D411yescharacteristic
374C4×C22⋊D43D411yescharacteristic
375C4×C22⋊D43D411yescharacteristic
376C4×C22⋊D43D411yescharacteristic
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(C22⋊D43)⋊C4—21no—
384(C22⋊D43)⋊C4—21no—
385#13063284C2311yescharacteristic
386#13063283—21no—
387#13063282—21no—
388#13063282—21no—
389#13063282C2311yescharacteristic
390#13063282C2311yescharacteristic
391#13063281—21no—
392#13063281—21no—
393C2×Dic43⋊C4—21no—
394C4⋊C4×D43—21no—
395C4⋊C4×D43—21no—
396C4⋊C4×D43—21no—
397C4⋊C4×D43C2311yescharacteristic
398C4⋊C4×D43C2311yescharacteristic
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
447C22×Q8×C43C2311yescharacteristic
448C22×D4×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
457#126×C43—21no—
458#125×C43C2311yescharacteristic
459#124×C43—21no—
460#124×C43—21no—
461#124×C43C2311yescharacteristic
462#124×C43C2311yescharacteristic
463#124×C43C2311yescharacteristic
464#124×C43C2311yescharacteristic
465#124×C43C2311yescharacteristic
466#123×C43—21no—
467C22⋊Q8×C43C2311yescharacteristic
468#121×C43C2311yescharacteristic
469C4×Q8×C43C2311yescharacteristic
470C4×D4×C43—21no—
471C4×D4×C43C2311yescharacteristic
472#117×C43—21no—
473C2×C22⋊C4×C43—21no—
474C2×C22⋊C4×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
490C24×C43—21no—
491C23×D43—21no—
492C23×D43—21no—
493C2×Q8×C43—21no—
494C2×Q8×C43—41no—
495C2×Q8×C43—41no—
496C2×Q8×C43C2411yescharacteristic
497C2×Q8×C43C2411yescharacteristic
498C2×Q8×C43C2411yescharacteristic
499C2×D4×C43—21no—
500C2×D4×C43—21no—
501C2×D4×C43—41no—
502C2×D4×C43—41no—
503C2×D4×C43C2411yescharacteristic
504C2×D4×C43C2411yescharacteristic
505C2×D4×C43C2411yescharacteristic
506C22×C4×C43—21no—
507C22×C4×C43—21no—
508C22×C4×C43C2×D411yescharacteristic
509C22×C4×C43C2×D411yescharacteristic
510C22×C4×C43C2411yescharacteristic
511C2×C22⋊D43—21no—
512C2×C22⋊D43—21no—
513C2×C22⋊D43—21no—
514C2×C22⋊D43—21no—
515C2×C22⋊D43—21no—
516C2×C22⋊D43—21no—
517C2×C22⋊D43—21no—
518C2×C22⋊D43—21no—
519C2×C22⋊D43—21no—
520C2×C22⋊D43—21no—
521C2×C22⋊D43—21no—
522C2×C22⋊D43—21no—
523C2×C22⋊D43—21no—
524C2×C22⋊D43—21no—
525C2×C22⋊D43—21no—
526C2×C22⋊D43—44no—
527C2×C22⋊D43—44no—
528C2×C22⋊D43C2×D411yescharacteristic
529C2×C22⋊D43C2×D411yescharacteristic
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—
540#10621902—44no—
541Q8×D43—22no—
542Q8×D43—22no—
543Q8×D43—41no—
544Q8×D43—41no—
545Q8×D43—44no—
546#10621900—22no—
547#10621900—22no—
548#10621900—22no—
549#10621900—22no—
550#10621900—41no—
551#10621900—41no—
552#10621900—44no—
553D4×D43—22no—
554D4×D43—22no—
555D4×D43—41no—
556D4×D43—41no—
557D4×D43—44no—
558#10621898—22no—
559#10621898—22no—
560#10621898—41no—
561#10621898—41no—
562#10621898—41no—
563#10621898—41no—
564#10621898—44no—
565#10621898—44no—
566C2×D172—21no—
567C2×D172—21no—
568C2×D172—21no—
569C2×D172—21no—
570C2×D172—21no—
571C2×D172—21no—
572C2×D172C2×D411yescharacteristic
573C2×D172C2411yescharacteristic
574C2×D172C2411yescharacteristic
575C2×D172C2411yescharacteristic
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×D43—21no—
584C2×C4×D43—21no—
585C2×C4×D43—21no—
586C2×C4×D43—21no—
587C2×C4×D43C2×D411yescharacteristic
588C2×C4×D43C2×D411yescharacteristic
589C2×C4×D43C2×D411yescharacteristic
590C2×C4×D43C2×D411yescharacteristic
591C2×C4×D43C2411yescharacteristic
592C2×C4×D43C2411yescharacteristic
593C2×Dic86—21no—
594C2×Dic86—21no—
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×C43C2411yescharacteristic
616C4⋊C4×C43C2411yescharacteristic
617C22⋊C4×C43—21no—
618C22⋊C4×C43—21no—
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—
628C22⋊C4×C43—21no—
629C22⋊C4×C43—21no—
630C42×C43—21no—
631C42×C43C2×D411yescharacteristic
632C42×C43C2×D411yescharacteristic
633C42×C43C2411yescharacteristic
634C42×C43C2411yescharacteristic
635C22⋊Dic43—21no—
636C22⋊Dic43—21no—
637C22⋊Dic43—21no—
638C22⋊Dic43—21no—
639C22⋊Dic43—21no—
640C22⋊Dic43—21no—
641C22⋊Dic43—21no—
642C22⋊Dic43C2×D411yescharacteristic
643C22⋊Dic43C2×D411yescharacteristic
644#10621885—41no—
645#10621885—41no—
646#10621885—41no—
647#10621885—41no—
648#10621884—41no—
649#10621884—41no—
650#10621884—41no—
651#10621884—41no—
652#10621883—41no—
653#10621883—41no—
654#10621883—41no—
655#10621883—41no—
656#10621882—41no—
657#10621882—41no—
658#10621882—41no—
659#10621882—41no—
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)⋊C4C2×D411yescharacteristic
677(C2×D43)⋊C4C2×D411yescharacteristic
678(C2×D43)⋊C4C2×D411yescharacteristic
679(C2×D43)⋊C4C2×D411yescharacteristic
680C4⋊Dic43—21no—
681C4⋊Dic43—21no—
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×C43—42no—
739C23×C43—81no—
740C23×C43—81no—
741C23×C43C22×D411yescharacteristic
742C22×D43—21no—
743C22×D43—21no—
744C22×D43—21no—
745C22×D43—42no—
746C22×D43—42no—
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—
759Q8×C43—42no—
760D4×C43—21no—
761D4×C43—21no—
762D4×C43—21no—
763D4×C43—21no—
764D4×C43—21no—
765D4×C43—21no—
766D4×C43—42no—
767D4×C43—81no—
768C2×C4×C43—21no—
769C2×C4×C43—21no—
770C2×C4×C43—21no—
771C2×C4×C43—21no—
772C2×C4×C43—21no—
773C2×C4×C43—21no—
774C2×C4×C43—21no—
775C2×C4×C43—41no—
776C2×C4×C43—41no—
777C2×C4×C43—42no—
778C2×C4×C43—81no—
779C2×C4×C43C22×D411yescharacteristic
780C2×C4×C43C22×D411yescharacteristic
781C2×C4×C43C22×D411yescharacteristic
782C2×C4×C43C22×D411yescharacteristic
783C2×C4×C43C22×D411yescharacteristic
784C2×C4×C43C2511yescharacteristic
785C22⋊D43—22no—
786C22⋊D43—22no—
787C22⋊D43—42no—
788C22⋊D43—42no—
789C22⋊D43—42no—
790C22⋊D43—42no—
791C22⋊D43—42no—
792C22⋊D43—42no—
793C22⋊D43—42no—
794C22⋊D43—81no—
795C22⋊D43—81no—
796C22⋊D43—81no—
797C22⋊D43—81no—
798C22⋊D43—81no—
799C22⋊D43—81no—
800C22⋊D43—81no—
801C22⋊D43—81no—
802C2×Dic43—21no—
803C2×Dic43—21no—
804C2×Dic43—21no—
805C2×Dic43—21no—
806C2×Dic43—21no—
807C2×Dic43—42no—
808C2×Dic43—42no—
809C2×Dic43—42no—
810C2×Dic43—81no—
811C2×Dic43C22×D411yescharacteristic
812C2×Dic43C22×D411yescharacteristic
813C2×Dic43C22×D411yescharacteristic
814C2×Dic43C22×D411yescharacteristic
815C2×Dic43C22×D411yescharacteristic
816C2×Dic43C22×D411yescharacteristic
817D172—22no—
818D172—21no—
819D172—21no—
820D172—21no—
821D172—21no—
822D172—21no—
823D172—21no—
824D172—42no—
825D172—42no—
826D172—42no—
827D172—81no—
828D172—81no—
829D172—81no—
830C4×D43—21no—
831C4×D43—21no—
832C4×D43—41no—
833C4×D43—41no—
834C4×D43—41no—
835C4×D43—41no—
836C4×D43—42no—
837C4×D43—42no—
838C4×D43—42no—
839C4×D43—42no—
840C4×D43—42no—
841C4×D43—42no—
842C4×D43—42no—
843C4×D43—81no—
844C4×D43—81no—
845C4×D43—81no—
846C4×D43—81no—
847C4×D43H(5,𝔽2)12yes—
848C4×D43H(5,𝔽2)12yes—
849Dic86—22no—
850Dic86—21no—
851Dic86—21no—
852Dic86—21no—
853Dic86—21no—
854Dic86—21no—
855Dic86—21no—
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×C43—162no—
880C22×C43C23×D411yescharacteristic
881C2×D43—21no—
882C2×D43—21no—
883C2×D43—21no—
884C2×D43—21no—
885C2×D43—21no—
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—41no—
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#3212—431no—
935#3211—431no—
936#3211—431no—
937#3211—431no—
938#3211D4311yescharacteristic, complemented
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#532—431no—
1006#529—431no—
1007#529—431no—
1008#529—431no—
1009#529C2×D4311yescharacteristic, complemented
1010C2×#125—431no—
1011C2×#124—431no—
1012C2×#124—431no—
1013C2×#124C2×D4311yescharacteristic
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#464C2×D4311yescharacteristic, complemented
1056#464C2×D4311yescharacteristic, complemented
1057#463—431no—
1058#463—431no—
1059#463—431no—
1060#463—431no—
1061#463—431no—
1062#463—431no—
1063#463C2×D4311yescharacteristic, complemented
1064#463C2×D4311yescharacteristic, complemented
1065#462—431no—
1066#462—431no—
1067#462—431no—
1068#462—431no—
1069#461—431no—
1070#461—431no—
1071#461—431no—
1072#461—431no—
1073#460—431no—
1074#460—431no—
1075#460—431no—
1076#460—431no—
1077#459—431no—
1078#459—431no—
1079#459—431no—
1080#459—431no—
1081#452—431no—
1082#452—431no—
1083#452—431no—
1084#452—431no—
1085#452—431no—
1086#452—431no—
1087#452—431no—
1088#452—431no—
1089#451—431no—
1090#451—431no—
1091#451—431no—
1092#451C2×D4311yescharacteristic, complemented
1093#450—431no—
1094#450—431no—
1095#450—431no—
1096#450C2×D4311yescharacteristic
1097#449—431no—
1098#449—431no—
1099#449—431no—
1100#449—431no—
1101#449—431no—
1102#449—431no—
1103#449—431no—
1104#449—431no—
1105#448—431no—
1106#448—431no—
1107#448—431no—
1108#448C2×D4311yescharacteristic, complemented
1109#447—431no—
1110#447—431no—
1111#447—431no—
1112#447C2×D4311yescharacteristic
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—431no—
1148C2×#41—431no—
1149C2×#41—861no—
1150C2×#41—861no—
1151C2×#41—861no—
1152C2×#41—861no—
1153C22×Q8—431no—
1154C22×Q8—431no—
1155C22×Q8—861no—
1156C22×Q8C22×D4311yescharacteristic
1157C22×D4—431no—
1158C22×D4—431no—
1159C22×D4—861no—
1160C22×D4—861no—
1161C22×D4—861no—
1162C22×D4C22×D4311yescharacteristic
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⋊Q8—431no—
1211#127—431no—
1212#127—431no—
1213#127—431no—
1214#127—431no—
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—21no—
1234#124—21no—
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#124C22×D4311yescharacteristic
1247#124C22×D4311yescharacteristic
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—431no—
1278#121—431no—
1279#121—431no—
1280#121—861no—
1281#121—861no—
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—431no—
1319C4×D4—431no—
1320C4×D4—431no—
1321C4×D4—431no—
1322C4×D4—431no—
1323C4×D4—431no—
1324C4×D4—431no—
1325C4×D4—431no—
1326C4×D4—431no—
1327C4×D4—861no—
1328C4×D4—861no—
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—21no—
1359C2×C22⋊C4—21no—
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—21no—
1424C24—861no—
1425C24—861no—
1426#41—862no—
1427#41—862no—
1428#41—862no—
1429#41—862no—
1430#41—862no—
1431#41—862no—
1432#41—862no—
1433#41—862no—
1434#41—862no—
1435#41—862no—
1436#41—1721no—
1437#41—1721no—
1438#41—1721no—
1439#41—1721no—
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—21no—
1449C2×Q8—41no—
1450C2×Q8—41no—
1451C2×Q8—431no—
1452C2×Q8—431no—
1453C2×Q8—431no—
1454C2×Q8—431no—
1455C2×Q8—861no—
1456C2×Q8—861no—
1457C2×Q8—862no—
1458C2×Q8—862no—
1459C2×Q8—1721no—
1460C2×Q8—1721no—
1461C2×Q8—1724no—
1462C2×Q8C23×D4311yescharacteristic
1463C2×Q8C23×D4311yescharacteristic
1464C2×Q8C23×D4311yescharacteristic
1465C2×D4—21no—
1466C2×D4—21no—
1467C2×D4—41no—
1468C2×D4—41no—
1469C2×D4—431no—
1470C2×D4—431no—
1471C2×D4—431no—
1472C2×D4—431no—
1473C2×D4—431no—
1474C2×D4—431no—
1475C2×D4—861no—
1476C2×D4—861no—
1477C2×D4—861no—
1478C2×D4—861no—
1479C2×D4—862no—
1480C2×D4—862no—
1481C2×D4—861no—
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—861no—
1497C2×D4—861no—
1498C2×D4—1721no—
1499C2×D4—1721no—
1500C2×D4—1724no—
1501C2×D4—1724no—
1502C2×D4—1724no—
1503C2×D4C23×D4311yescharacteristic
1504C2×D4C23×D4311yescharacteristic
1505C2×D4C23×D4311yescharacteristic
1506C22×C4—21no—
1507C22×C4—21no—
1508C22×C4—431no—
1509C22×C4—431no—
1510C22×C4—431no—
1511C22×C4—431no—
1512C22×C4—431no—
1513C22×C4—431no—
1514C22×C4—861no—
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—431no—
1581C4⋊C4—431no—
1582C4⋊C4—431no—
1583C4⋊C4—431no—
1584C4⋊C4—431no—
1585C4⋊C4—431no—
1586C4⋊C4—431no—
1587C4⋊C4—431no—
1588C4⋊C4—861no—
1589C4⋊C4—861no—
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—21no—
1622C22⋊C4—21no—
1623C22⋊C4—21no—
1624C22⋊C4—21no—
1625C22⋊C4—431no—
1626C22⋊C4—431no—
1627C22⋊C4—431no—
1628C22⋊C4—431no—
1629C22⋊C4—431no—
1630C22⋊C4—431no—
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—42no—
1672C23—81no—
1673C23—81no—
1674C23—431no—
1675C23—431no—
1676C23—861no—
1677C23—861no—
1678C23—861no—
1679C23—3441no—
1680C23—3441no—
1681C23—3441no—
1682C23—3441no—
1683C23—1722no—
1684C23—1722no—
1685C23C2×D4×D4311yescharacteristic
1686Q8—21no—
1687Q8—21no—
1688Q8—21no—
1689Q8—21no—
1690Q8—21no—
1691Q8—21no—
1692Q8—42no—
1693Q8—862no—
1694Q8—861no—
1695Q8—861no—
1696Q8—861no—
1697Q8—861no—
1698Q8—861no—
1699Q8—861no—
1700Q8—1722no—
1701Q8—1722no—
1702D4—21no—
1703D4—21no—
1704D4—21no—
1705D4—21no—
1706D4—21no—
1707D4—21no—
1708D4—42no—
1709D4—81no—
1710D4—862no—
1711D4—862no—
1712D4—862no—
1713D4—861no—
1714D4—861no—
1715D4—861no—
1716D4—861no—
1717D4—861no—
1718D4—861no—
1719D4—3441no—
1720D4—3441no—
1721D4—3441no—
1722D4—3441no—
1723D4—3441no—
1724D4—3441no—
1725D4—3441no—
1726D4—3441no—
1727D4—3441no—
1728D4—3441no—
1729D4—3441no—
1730D4—1722no—
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—81no—
1751C2×C4—431no—
1752C2×C4—432no—
1753C2×C4—432no—
1754C2×C4—431no—
1755C2×C4—431no—
1756C2×C4—431no—
1757C2×C4—431no—
1758C2×C4—431no—
1759C2×C4—861no—
1760C2×C4—861no—
1761C2×C4—861no—
1762C2×C4—861no—
1763C2×C4—861no—
1764C2×C4—861no—
1765C2×C4—861no—
1766C2×C4—3441no—
1767C2×C4—3441no—
1768C2×C4—3441no—
1769C2×C4—3441no—
1770C2×C4—3441no—
1771C2×C4—1721no—
1772C2×C4—1721no—
1773C2×C4—1721no—
1774C2×C4—1721no—
1775C2×C4—1722no—
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—162no—
1812C22—432no—
1813C22—861no—
1814C22—861no—
1815C22—861no—
1816C22—861no—
1817C22—861no—
1818C22—1721no—
1819C22—1721no—
1820C22—1721no—
1821C22—1721no—
1822C22—1721no—
1823C22—1721no—
1824C22—1721no—
1825C22—1721no—
1826C22—1721no—
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×#3211C2
socleC22×C43C23×D4
hypercenter#3211D43
hypocenterC43#60823
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C2×C42 ◁ #3211

Complements

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

NH ≅ G/Ntype
1. #19148510C2semidirect
2. #19148385C2semidirect
3. #19145675C2semidirect
4. #19145674C2semidirect
5. #19145664C2semidirect
6. #19145663C2semidirect
7. #19145653C2semidirect
8. #19145652C2semidirect
9. #19145642C2semidirect
10. #19145641C2semidirect
11. #19145573C2semidirect
12. #19145572C2semidirect
13. #19145567C2semidirect
14. #19145566C2semidirect
15. #19145561C2semidirect
16. #19145560C2semidirect
17. #19145555C2semidirect
18. #19145056C2semidirect
19. #19145020C2semidirect
20. #19144992C2semidirect
21. #488×D43C2semidirect
22. #19144148C2semidirect
23. #19144146C2semidirect
24. #19144137C2semidirect
25. #19144135C2semidirect
26. #19143911C2semidirect
27. #19143905C2semidirect
28. #19143900C2semidirect
29. #19143894C2semidirect
30. #19143234C2semidirect
31. C43×#3211C2semidirect
34. C2×#13063357C22semidirect
35. C2×#13063354C22semidirect
38. C2×#13063348C22semidirect
40. C2×#13063346C22semidirect
58. #14583509C22semidirect
59. #14583507C22semidirect
60. #14583502C22semidirect
61. #14583500C22semidirect
73. #14583448C22semidirect
74. #14583434C22semidirect
75. #14583433C22semidirect
76. #14583428C22semidirect
77. #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. #14583120C22semidirect
114. #14583119C22semidirect
115. #14583118C22semidirect
116. #14583118C22semidirect
117. #14583117C22semidirect
118. #14583116C22semidirect
119. #14583113C22semidirect
120. #14583112C22semidirect
121. #14583111C22semidirect
122. #14583111C22semidirect
123. #14583110C22semidirect
124. #14583109C22semidirect
125. #14583108C22semidirect
126. #14583107C22semidirect
127. #14583105C22semidirect
128. #14583104C22semidirect
129. #14583103C22semidirect
130. #14583102C22semidirect
131. #14583100C22semidirect
132. #14583099C22semidirect
133. #14583098C22semidirect
134. #14583097C22semidirect
135. #14583095C22semidirect
136. #14583094C22semidirect
137. #14583093C22semidirect
138. #14583092C22semidirect
139. #14583064C22semidirect
141. #14583063C22semidirect
143. #14583060C22semidirect
145. #14583059C22semidirect
147. #14583056C22semidirect
148. #14583055C22semidirect
149. #14583053C22semidirect
153. #14583047C22semidirect
155. #14583046C22semidirect
157. #14583043C22semidirect
159. #14583042C22semidirect
161. #14583039C22semidirect
162. #14583038C22semidirect
163. #14583036C22semidirect
167. #14582959C22semidirect
168. #14582959C22semidirect
169. #14582957C22semidirect
170. #14582957C22semidirect
171. #14582952C22semidirect
172. #14582950C22semidirect
173. #14582950C22semidirect
174. #14582924C22semidirect
175. #14582924C22semidirect
176. #14582899C22semidirect
177. #14582899C22semidirect
180. #103×D43C22semidirect
181. #103×D43C22semidirect
186. C4×#10621872C22semidirect
187. C4×C8×D43C22semidirect
188. C43×#529C22semidirect
190. C43×#495C22semidirect
191. C43×#495C22semidirect
192. C43×#488C22semidirect
193. C43×#488C22semidirect
194. C43×#464C22semidirect
195. C43×#464C22semidirect
196. C43×#463C22semidirect
197. C43×#463C22semidirect
198. C43×#451C22semidirect
200. C43×#448C22semidirect
202. C43×#431C22semidirect
938. #3211D43semidirect
1009. #529C2×D43semidirect
1027. #495C2×D43semidirect
1028. #495C2×D43semidirect
1047. #488C2×D43semidirect
1048. #488C2×D43semidirect
1055. #464C2×D43semidirect
1056. #464C2×D43semidirect
1063. #463C2×D43semidirect
1064. #463C2×D43semidirect
1092. #451C2×D43semidirect
1108. #448C2×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
#191483852
#191456752
#191456742
#191456642
#191456632
#191456532
#191456522
#191456422
#191456412
#191455732
#191455722
#191455672
#191455662
#191455612
#191455602
#191455552
#191450562
#191450202
#191449922
#488×D432
#191441482
#191441462
#191441372
#191441352
#191439112
#191439052
#191439002
#191438942
#191432342
C43×#32112
#6082343