Finite Group Databasebeta

← #25968529

Subgroups — #25968529

Order 11008.

2104 conjugacy classes of subgroups.

The subgroup lattice has 1898 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19148382C211yesmaximal, characteristic, complemented
2#19148016C211yesmaximal, characteristic, complemented
3#19145708C211yesmaximal, characteristic, complemented
4#19145699C211yesmaximal, characteristic, complemented
5#19145695C211yesmaximal, characteristic, complemented
6#19145684C211yesmaximal, characteristic, complemented
7#19145657C211yesmaximal, characteristic, complemented
8#19145654C211yesmaximal, characteristic, complemented
9#19145646C211yesmaximal, characteristic, complemented
10#19145643C211yesmaximal, characteristic, complemented
11#19145637C211yesmaximal, characteristic, complemented
12#19145584C211yesmaximal, characteristic, complemented
13#19145580C211yesmaximal, characteristic, complemented
14#19145564C211yesmaximal, characteristic, complemented
15#19145556C211yesmaximal, characteristic, complemented
16#19145528C211yesmaximal, characteristic, complemented
17#19145527C211yesmaximal, characteristic, complemented
18#19145079C211yesmaximal, characteristic, complemented
19#19145070C211yesmaximal, characteristic, complemented
20#19144961C211yesmaximal, characteristic, complemented
21#19144950C211yesmaximal, characteristic, complemented
22#19144086C211yesmaximal, characteristic, complemented
23#19144057C211yesmaximal, characteristic, complemented
24#19144049C211yesmaximal, characteristic, complemented
25#463×D43C211yesmaximal, characteristic, complemented
26#19143914C211yesmaximal, characteristic, complemented
27#19143903C211yesmaximal, characteristic, complemented
28#19143878C211yesmaximal, characteristic, complemented
29#19143860C211yesmaximal, characteristic, complemented
30#19143262C211yesmaximal, characteristic, complemented
31C43×#3219C211yesmaximal, characteristic, complemented
32C2×#13063372C2211yescharacteristic
33C2×#13063371C2211yescharacteristic
34C2×#13063357C2211yescharacteristic, complemented
35C2×#13063352C2211yescharacteristic
36C2×#13063352C2211yescharacteristic
37C2×#13063349C2211yescharacteristic, complemented
38C2×#13063348C2211yescharacteristic
39C2×#13063346C2211yescharacteristic, complemented
40C2×SD16×D43C2211yescharacteristic, complemented
41C2×D8×D43C2211yescharacteristic
42#14583558—21no—
43#14583558—21no—
44#14583545—21no—
45#14583545—21no—
46#14583538—21no—
47#14583538—21no—
48#14583538—21no—
49#14583538—21no—
50#14583529C2211yescharacteristic, complemented
51#14583522C2211yescharacteristic, complemented
52#14583518C2211yescharacteristic, complemented
53#14583515—21no—
54#14583505C2211yescharacteristic, complemented
55#14583502C2211yescharacteristic, complemented
56#14583501—21no—
57#14583488—21no—
58#14583485—21no—
59#14583479C2211yescharacteristic
60#14583474C2211yescharacteristic
61#14583474C2211yescharacteristic, complemented
62#14583470C2211yescharacteristic, complemented
63#14583467C2211yescharacteristic, complemented
64#14583465C2211yescharacteristic
65#14583463C2211yescharacteristic, complemented
66#14583462C2211yescharacteristic
67#14583462C2211yescharacteristic, complemented
68#14583449C2211yescharacteristic, complemented
69#14583448C2211yescharacteristic
70#14583448C2211yescharacteristic, complemented
71#14583446—21no—
72#14583446C2211yescharacteristic, complemented
73#14583436C2211yescharacteristic, complemented
74#14583427—21no—
75C2×#13063313C2211yescharacteristic, complemented
76#124×D43C2211yescharacteristic
77#124×D43C2211yescharacteristic, complemented
78#14583411—21no—
79#14583408—21no—
80C4×#10621902C2211yescharacteristic, complemented
81C4×#10621898C2211yescharacteristic
82C4×D4×D43C2211yescharacteristic, complemented
83#14583292C2211yescharacteristic, complemented
84#14583288C2211yescharacteristic, complemented
85#14583288C2211yescharacteristic, complemented
86#14583287C2211yescharacteristic, complemented
87#14583285C2211yescharacteristic, complemented
88#14583285C2211yescharacteristic, complemented
89#14583284C2211yescharacteristic, complemented
90#14583281C2211yescharacteristic, complemented
91#14583281C2211yescharacteristic, complemented
92#14583280C2211yescharacteristic, complemented
93#14583275C2211yescharacteristic, complemented
94#14583274C2211yescharacteristic, complemented
95#14583273C2211yescharacteristic, complemented
96#14583270C2211yescharacteristic, complemented
97#14583266C2211yescharacteristic, complemented
98#14583262C2211yescharacteristic, complemented
99#14583260C2211yescharacteristic, complemented
100#14583259C2211yescharacteristic, complemented
101#14583259C2211yescharacteristic, complemented
102#14583257C2211yescharacteristic, complemented
103#14583256C2211yescharacteristic, complemented
104#14583256C2211yescharacteristic, complemented
105#14583255C2211yescharacteristic, complemented
106#14583252C2211yescharacteristic, complemented
107#14583249C2211yescharacteristic, complemented
108#14583248C2211yescharacteristic, complemented
109#14583245C2211yescharacteristic, complemented
110#14583244C2211yescharacteristic, complemented
111#14583123C2211yescharacteristic, complemented
112#14583121C2211yescharacteristic, complemented
113#14583121C2211yescharacteristic, complemented
114#14583119C2211yescharacteristic, complemented
115#14583117C2211yescharacteristic, complemented
116#14583117C2211yescharacteristic, complemented
117#14583116C2211yescharacteristic, complemented
118#14583115C2211yescharacteristic, complemented
119#14583115C2211yescharacteristic, complemented
120#14583115C2211yescharacteristic, complemented
121#14583115C2211yescharacteristic, complemented
122#14583114C2211yescharacteristic, complemented
123#14583114C2211yescharacteristic, complemented
124#14583113C2211yescharacteristic, complemented
125#14583113C2211yescharacteristic, complemented
126#14583112C2211yescharacteristic, complemented
127#14583111C2211yescharacteristic, complemented
128#14583111C2211yescharacteristic, complemented
129#14583111C2211yescharacteristic, complemented
130#14583111C2211yescharacteristic, complemented
131#14583107C2211yescharacteristic, complemented
132#14583103C2211yescharacteristic, complemented
133#14583103C2211yescharacteristic, complemented
134#14583102C2211yescharacteristic, complemented
135#14583097C2211yescharacteristic, complemented
136#14583093C2211yescharacteristic, complemented
137#14583093C2211yescharacteristic, complemented
138#14583092C2211yescharacteristic, complemented
139#14583060C2211yescharacteristic, complemented
140#14583058C2211yescharacteristic, complemented
141#14583054C2211yescharacteristic, complemented
142#14583053C2211yescharacteristic, complemented
143#14583049C2211yescharacteristic, complemented
144#14583048C2211yescharacteristic, complemented
145#14583047C2211yescharacteristic
146#14583047C2211yescharacteristic, complemented
147#14583045C2211yescharacteristic, complemented
148#14583045C2211yescharacteristic, complemented
149#14583044C2211yescharacteristic
150#14583044C2211yescharacteristic, complemented
151#14583044C2211yescharacteristic, complemented
152#14583044C2211yescharacteristic, complemented
153#14583043C2211yescharacteristic
154#14583041C2211yescharacteristic, complemented
155#14583040C2211yescharacteristic, complemented
156#14583040C2211yescharacteristic, complemented
157#14583039C2211yescharacteristic, complemented
158#14583039C2211yescharacteristic, complemented
159#14583037C2211yescharacteristic, complemented
160#14583036C2211yescharacteristic, complemented
161#14583035C2211yescharacteristic
162#14583035C2211yescharacteristic, complemented
163#14583034C2211yescharacteristic
164#14583034C2211yescharacteristic, complemented
165#14583032C2211yescharacteristic
166#14583031C2211yescharacteristic
167#14582961C2211yescharacteristic, complemented
168#14582961C2211yescharacteristic, complemented
169#14582957C2211yescharacteristic, complemented
170#14582957C2211yescharacteristic, complemented
171#14582955C2211yescharacteristic, complemented
172#14582952C2211yescharacteristic, complemented
173#14582951C2211yescharacteristic, complemented
174#14582921C2211yescharacteristic, complemented
175C4⋊C8×D43C2211yescharacteristic, complemented
176#14582906C2211yescharacteristic, complemented
177#14582902C2211yescharacteristic
178#14582899C2211yescharacteristic
179#14582897C2211yescharacteristic, complemented
180#14582894C2211yescharacteristic
181#14582892C2211yescharacteristic, complemented
182#103×D43C2211yescharacteristic, complemented
183#102×D43C2211yescharacteristic
184#14582864C2211yescharacteristic
185#14582864C2211yescharacteristic
186#14582856C2211yescharacteristic, complemented
187#14582856C2211yescharacteristic, complemented
188C43×#532C2211yescharacteristic, complemented
189C43×#529C2211yescharacteristic, complemented
190C43×#497C2211yescharacteristic, complemented
191C43×#496C2211yescharacteristic, complemented
192C43×#491C2211yescharacteristic, complemented
193C43×#490C2211yescharacteristic, complemented
194C43×#464C2211yescharacteristic, complemented
195C43×#464C2211yescharacteristic, complemented
196C43×#463C2211yescharacteristic, complemented
197C43×#463C2211yescharacteristic, complemented
198C43×#452C2211yescharacteristic, complemented
199C43×#452C2211yescharacteristic, complemented
200C43×#449C2211yescharacteristic
201C43×#449C2211yescharacteristic, complemented
202C43×#432C2211yescharacteristic, 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×#10621898—21no—
213C2×#10621898—21no—
214C2×#10621898C2311yescharacteristic
215C2×#10621900—21no—
216C2×#10621900—21no—
217C2×#10621900C2311yescharacteristic
218C2×#10621900C2311yescharacteristic
219C22×Dic86—21no—
220C22×Dic86C2311yescharacteristic
221C2×Q8×D43C2311yescharacteristic
222C2×Q8×D43C2311yescharacteristic
223C22×D172—21no—
224C22×D172C2311yescharacteristic
225C2×D4×D43—21no—
226C2×D4×D43—21no—
227C2×D4×D43C2311yescharacteristic
228C2×D4×D43C2311yescharacteristic
229C2×D4×D43C2311yescharacteristic
230C22×C4×D43—21no—
231#13063357—42no—
232#13063352—42no—
233#13063352—42no—
234#13063349—42no—
235#13063348—42no—
236#13063346—42no—
237C2×#10621885C2311yescharacteristic
238C2×#10621885C2311yescharacteristic
239C2×#10621873C2311yescharacteristic
240C2×#10621873C2311yescharacteristic
241C2×#10621873C2311yescharacteristic
242C2×#10621873C2311yescharacteristic
243C2×#10621883C2311yescharacteristic
244C2×#10621883C2311yescharacteristic
245C2×#10621884C2311yescharacteristic
246C2×#10621884C2311yescharacteristic
247C2×#10621884C2311yescharacteristic
248C2×#10621884C2311yescharacteristic
249C2×#10621884C2311yescharacteristic
250C2×#10621884C2311yescharacteristic
251SD16×D43—42no—
252C2×D344C2311yescharacteristic
253C2×D344C2311yescharacteristic
254C2×D344C2311yescharacteristic
255C2×D344C2311yescharacteristic
256C2×#10621882C2311yescharacteristic
257C2×#10621882C2311yescharacteristic
258C2×#10621882C2311yescharacteristic
259C2×#10621882C2311yescharacteristic
260C2×#10621882C2311yescharacteristic
261C2×#10621882C2311yescharacteristic
262D8×D43—42no—
263C2×#10621872C2311yescharacteristic
264C2×#10621872C2311yescharacteristic
265C2×C8×D43C2311yescharacteristic
266C2×C8×D43C2311yescharacteristic
267#13063325C2311yescharacteristic
268#13063324—21no—
269#13063324C2311yescharacteristic
270#13063323C2311yescharacteristic
271#13063323C2311yescharacteristic
272#13063322C2311yescharacteristic
273#13063321—21no—
274#13063321C2311yescharacteristic
275#13063321C2311yescharacteristic
276#13063321C2311yescharacteristic
277#13063320—21no—
278#13063320—21no—
279#13063318—21no—
280#13063316C2311yescharacteristic
281#13063315—21no—
282#13063314C2311yescharacteristic
283#13063314C2311yescharacteristic
284#13063314C2311yescharacteristic
285#13063313—21no—
286#13063313—21no—
287#13063313—21no—
288#13063313C2311yescharacteristic
289#13063313C2311yescharacteristic
290#13063313C2311yescharacteristic
291#13063313C2311yescharacteristic
292#13063312C2311yescharacteristic
293#13063312C2311yescharacteristic
294#13063311—21no—
295#13063311—21no—
296#13063311—21no—
297#13063311—21no—
298#13063311—21no—
299#13063311—21no—
300#13063311—21no—
301#13063311—21no—
302#13063310—21no—
303#13063310—21no—
304#13063310—21no—
305#13063310—21no—
306#13063310—21no—
307#13063310—21no—
308#13063310—21no—
309#13063309—21no—
310#13063309—21no—
311#13063307—21no—
312#13063307—21no—
313#13063306—21no—
314#13063306—21no—
315#13063305—21no—
316#13063305—21no—
317#13063304—21no—
318#13063304—21no—
319#13063303—21no—
320#13063303—21no—
321#13063303—21no—
322#13063303—21no—
323#13063303—21no—
324#13063303—21no—
325#13063302—21no—
326#13063301C2311yescharacteristic
327#13063300—21no—
328#13063300—21no—
329#13063300—21no—
330#13063300C2311yescharacteristic
331#13063300C2311yescharacteristic
332#13063299—21no—
333#13063299—21no—
334#13063299—21no—
335#13063299C2311yescharacteristic
336#13063299C2311yescharacteristic
337#13063298—21no—
338#13063298—21no—
339#13063298—21no—
340#13063298—21no—
341#13063298—21no—
342#13063298—21no—
343#13063298—21no—
344#13063298—21no—
345#13063298—21no—
346#13063297—21no—
347#13063297—21no—
348#13063297—21no—
349#13063297—21no—
350#13063297—21no—
351#13063296—21no—
352#13063296C2311yescharacteristic
353#13063295—21no—
354#13063295—21no—
355#13063295—21no—
356#13063293—21no—
357#13063293—21no—
358#13063293—21no—
359#13063293—21no—
360#13063293—21no—
361#13063293—21no—
362#13063293—21no—
363Q8×Dic43C2311yescharacteristic
364C4×Dic86D411yescharacteristic
365C4×Dic86D411yescharacteristic
366C4×D172—21no—
367C4×D172—21no—
368C4×D172—21no—
369C4×D172D411yescharacteristic
370C4×D172D411yescharacteristic
371C4×D172C2311yescharacteristic
372C4×D172C2311yescharacteristic
373D4×Dic43C2311yescharacteristic
374#13063287—21no—
375#13063287C2311yescharacteristic
376#13063287C2311yescharacteristic
377C4×C22⋊D43—21no—
378C4×C22⋊D43—21no—
379C4×C22⋊D43D411yescharacteristic
380C4×C22⋊D43D411yescharacteristic
381C4×C22⋊D43D411yescharacteristic
382C4×C22⋊D43D411yescharacteristic
383(C22⋊D43)⋊C4—21no—
384(C22⋊D43)⋊C4—21no—
385(C22⋊D43)⋊C4—21no—
386(C22⋊D43)⋊C4—21no—
387(C22⋊D43)⋊C4—21no—
388#13063284C2311yescharacteristic
389#13063283—21no—
390#13063283C2311yescharacteristic
391#13063282—21no—
392#13063282C2311yescharacteristic
393#13063282C2311yescharacteristic
394C4⋊C4×D43C2311yescharacteristic
395C2×(C2×D43)⋊C4—21no—
396C2×(C2×D43)⋊C4—21no—
397C22⋊C4×D43—21no—
398C22⋊C4×D43—21no—
399C22⋊C4×D43—21no—
400C22⋊C4×D43—21no—
401C22⋊C4×D43—21no—
402C42×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
488#97×C43C2311yescharacteristic
489#97×C43C2311yescharacteristic
490C23×D43—21no—
491C23×D43—21no—
492C23×D43—21no—
493C23×D43—21no—
494#41×C43—41no—
495#41×C43—41no—
496#41×C43—41no—
497#41×C43—41no—
498C2×Q8×C43C2411yescharacteristic
499C2×Q8×C43C2411yescharacteristic
500C2×Q8×C43C2411yescharacteristic
501C2×D4×C43—21no—
502C2×D4×C43—21no—
503C2×D4×C43—21no—
504C2×D4×C43—21no—
505C2×D4×C43—21no—
506C2×D4×C43C2411yescharacteristic
507C2×D4×C43C2411yescharacteristic
508C2×D4×C43C2411yescharacteristic
509C22×C4×C43—21no—
510C22×C4×C43—21no—
511C22×C4×C43—21no—
512C22×C4×C43C2×D411yescharacteristic
513C22×C4×C43C2×D411yescharacteristic
514C22×C4×C43C2411yescharacteristic
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⋊D43—21no—
528C2×C22⋊D43—21no—
529C2×C22⋊D43C2×D411yescharacteristic
530C2×C22⋊D43C2×D411yescharacteristic
531C22×Dic43—21no—
532C22×Dic43—21no—
533C22×Dic43—21no—
534C22×Dic43—21no—
535#10621902—22no—
536#10621902—22no—
537#10621902—22no—
538#10621902—22no—
539#10621902—41no—
540#10621902—41no—
541Q8×D43—22no—
542Q8×D43—22no—
543Q8×D43—41no—
544Q8×D43—41no—
545#10621900—22no—
546#10621900—22no—
547#10621900—41no—
548#10621900—41no—
549#10621900—44no—
550#10621900—44no—
551D4×D43—22no—
552D4×D43—22no—
553D4×D43—22no—
554D4×D43—22no—
555D4×D43—41no—
556D4×D43—41no—
557D4×D43—44no—
558D4×D43—44no—
559#10621898—22no—
560#10621898—22no—
561#10621898—44no—
562#10621898—44no—
563#10621898—82no—
564#10621898—82no—
565C2×D172—21no—
566C2×D172—21no—
567C2×D172—21no—
568C2×D172—21no—
569C2×D172—21no—
570C2×D172—21no—
571C2×D172—21no—
572C2×D172—21no—
573C2×D172—41no—
574C2×D172—41no—
575C2×D172—44no—
576C2×D172C2×D411yescharacteristic
577C2×D172C2411yescharacteristic
578C2×D172C2411yescharacteristic
579C2×D172C2411yescharacteristic
580C2×D172C2411yescharacteristic
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×D43—21no—
588C2×C4×D43—21no—
589C2×C4×D43—21no—
590C2×C4×D43—21no—
591C2×C4×D43—82no—
592C2×C4×D43C2×D411yescharacteristic
593C2×C4×D43C2×D411yescharacteristic
594C2×C4×D43C2×D411yescharacteristic
595C2×C4×D43C2×D411yescharacteristic
596C2×C4×D43C2411yescharacteristic
597C2×C4×D43C2411yescharacteristic
598C2×Dic86—21no—
599C2×Dic86—21no—
600C2×Dic86—21no—
601C2×Dic86—21no—
602C2×Dic86—21no—
603C2×Dic86—41no—
604C2×Dic86—41no—
605C2×Dic86—44no—
606C2×Dic86C2×D411yescharacteristic
607C2×Dic86C2411yescharacteristic
608C2×Dic86C2411yescharacteristic
609Q16×C43—41no—
610Q16×C43—41no—
611SD16×C43—41no—
612SD16×C43—41no—
613SD16×C43—41no—
614SD16×C43—41no—
615D8×C43—41no—
616D8×C43—41no—
617C2×C8×C43C2411yescharacteristic
618C2×C8×C43C2411yescharacteristic
619C2×C8×C43C2411yescharacteristic
620C2×C8×C43C2411yescharacteristic
621C4⋊C4×C43—21no—
622C4⋊C4×C43—21no—
623C4⋊C4×C43—21no—
624C4⋊C4×C43—21no—
625C4⋊C4×C43—21no—
626C4⋊C4×C43—21no—
627C4⋊C4×C43C2411yescharacteristic
628C4⋊C4×C43C2411yescharacteristic
629C22⋊C4×C43—21no—
630C22⋊C4×C43—21no—
631C22⋊C4×C43—21no—
632C22⋊C4×C43—21no—
633C22⋊C4×C43—21no—
634C22⋊C4×C43—21no—
635C22⋊C4×C43—21no—
636C22⋊C4×C43—21no—
637C22⋊C4×C43—21no—
638C42×C43—21no—
639C42×C43C2×D411yescharacteristic
640C42×C43C2×D411yescharacteristic
641C42×C43C2411yescharacteristic
642C42×C43C2411yescharacteristic
643C22⋊Dic43—21no—
644C22⋊Dic43—21no—
645C22⋊Dic43—21no—
646C22⋊Dic43—21no—
647C22⋊Dic43—21no—
648C22⋊Dic43—21no—
649C22⋊Dic43C2×D411yescharacteristic
650C22⋊Dic43C2×D411yescharacteristic
651#10621885—41no—
652#10621885—41no—
653#10621884—41no—
654#10621884—41no—
655#10621884—41no—
656#10621884—41no—
657#10621884—41no—
658#10621884—41no—
659#10621883—41no—
660#10621883—41no—
661#10621882—41no—
662#10621882—41no—
663#10621882—41no—
664#10621882—41no—
665#10621882—41no—
666#10621882—41no—
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)⋊C4—21no—
679(C2×D43)⋊C4—21no—
680(C2×D43)⋊C4—21no—
681(C2×D43)⋊C4—21no—
682(C2×D43)⋊C4—21no—
683(C2×D43)⋊C4—21no—
684(C2×D43)⋊C4—21no—
685(C2×D43)⋊C4—21no—
686(C2×D43)⋊C4—21no—
687(C2×D43)⋊C4—21no—
688(C2×D43)⋊C4—21no—
689(C2×D43)⋊C4—21no—
690(C2×D43)⋊C4—21no—
691(C2×D43)⋊C4C2×D411yescharacteristic
692(C2×D43)⋊C4C2×D411yescharacteristic
693(C2×D43)⋊C4C2×D411yescharacteristic
694(C2×D43)⋊C4C2×D411yescharacteristic
695C4⋊Dic43—21no—
696C4⋊Dic43—21no—
697C4⋊Dic43—21no—
698C4⋊Dic43C2×D411yescharacteristic
699C4⋊Dic43C2×D411yescharacteristic
700C4⋊Dic43C2411yescharacteristic
701C4⋊Dic43C2411yescharacteristic
702Dic43⋊C4—21no—
703Dic43⋊C4—21no—
704Dic43⋊C4—21no—
705Dic43⋊C4—21no—
706Dic43⋊C4—21no—
707Dic43⋊C4—21no—
708Dic43⋊C4—21no—
709Dic43⋊C4—21no—
710Dic43⋊C4C2×D411yescharacteristic
711Dic43⋊C4C2×D411yescharacteristic
712Dic43⋊C4C2×D411yescharacteristic
713Dic43⋊C4C2×D411yescharacteristic
714C4×Dic43—21no—
715C4×Dic43—21no—
716C4×Dic43C2×D411yescharacteristic
717C4×Dic43C2×D411yescharacteristic
718C4×Dic43C2×D411yescharacteristic
719C4×Dic43C2×D411yescharacteristic
720C4×Dic43C2411yescharacteristic
721C4×Dic43C2411yescharacteristic
722C2×C43⋊C8C2411yescharacteristic
723C2×C43⋊C8C2411yescharacteristic
724C2×C43⋊C8C2411yescharacteristic
725C2×C43⋊C8C2411yescharacteristic
726D344—41no—
727D344—41no—
728D344—41no—
729D344—41no—
730#10621873—41no—
731#10621873—41no—
732#10621873—41no—
733#10621873—41no—
734#10621872—22no—
735#10621872—22no—
736C8×D43—22no—
737C8×D43—22no—
738C23×C43—21no—
739C23×C43—21no—
740C23×C43—21no—
741C23×C43C22×D411yescharacteristic
742C22×D43—21no—
743C22×D43—21no—
744C22×D43—21no—
745C22×D43—21no—
746C22×D43—42no—
747C22×D43—42no—
748C22×D43—42no—
749C22×D43—42no—
750C22×D43—81no—
751C22×D43—81no—
752C22×D43—81no—
753C22×D43—81no—
754C22×D43—81no—
755C22×D43—81no—
756C22×D43—81no—
757C22×D43—81no—
758C22×D43C22×D411yescharacteristic
759C22×D43C22×D411yescharacteristic
760Q8×C43—21no—
761Q8×C43—21no—
762Q8×C43—21no—
763Q8×C43—21no—
764Q8×C43—21no—
765Q8×C43—21no—
766D4×C43—21no—
767D4×C43—21no—
768D4×C43—21no—
769D4×C43—21no—
770D4×C43—21no—
771D4×C43—21no—
772D4×C43—42no—
773D4×C43—42no—
774D4×C43—81no—
775D4×C43—81no—
776D4×C43—81no—
777C2×C4×C43—21no—
778C2×C4×C43—21no—
779C2×C4×C43—21no—
780C2×C4×C43—21no—
781C2×C4×C43—21no—
782C2×C4×C43—21no—
783C2×C4×C43—21no—
784C2×C4×C43—41no—
785C2×C4×C43—41no—
786C2×C4×C43—42no—
787C2×C4×C43—42no—
788C2×C4×C43—42no—
789C2×C4×C43C22×D411yescharacteristic
790C2×C4×C43C22×D411yescharacteristic
791C2×C4×C43C22×D411yescharacteristic
792C2×C4×C43C22×D411yescharacteristic
793C2×C4×C43C22×D411yescharacteristic
794C2×C4×C43C2511yescharacteristic
795C22⋊D43—22no—
796C22⋊D43—22no—
797C22⋊D43—42no—
798C22⋊D43—42no—
799C22⋊D43—42no—
800C22⋊D43—42no—
801C22⋊D43—42no—
802C22⋊D43—81no—
803C22⋊D43—81no—
804C22⋊D43—81no—
805C22⋊D43—81no—
806C22⋊D43—81no—
807C22⋊D43—81no—
808C22⋊D43—81no—
809C22⋊D43—81no—
810C22⋊D43—81no—
811C2×Dic43—21no—
812C2×Dic43—21no—
813C2×Dic43—21no—
814C2×Dic43—21no—
815C2×Dic43—42no—
816C2×Dic43—42no—
817C2×Dic43—42no—
818C2×Dic43—81no—
819C2×Dic43C22×D411yescharacteristic
820C2×Dic43C22×D411yescharacteristic
821C2×Dic43C22×D411yescharacteristic
822C2×Dic43C22×D411yescharacteristic
823C2×Dic43C22×D411yescharacteristic
824C2×Dic43C22×D411yescharacteristic
825D172—22no—
826D172—21no—
827D172—21no—
828D172—21no—
829D172—21no—
830D172—21no—
831D172—21no—
832D172—21no—
833D172—21no—
834D172—42no—
835D172—42no—
836D172—42no—
837D172—42no—
838D172—81no—
839D172—81no—
840D172—81no—
841D172—81no—
842C4×D43—21no—
843C4×D43—21no—
844C4×D43—41no—
845C4×D43—41no—
846C4×D43—41no—
847C4×D43—41no—
848C4×D43—42no—
849C4×D43—42no—
850C4×D43—42no—
851C4×D43—42no—
852C4×D43—42no—
853C4×D43—42no—
854C4×D43—42no—
855C4×D43—81no—
856C4×D43—81no—
857C4×D43—81no—
858C4×D43H(5,𝔽2)12yes—
859C4×D43H(5,𝔽2)12yes—
860Dic86—22no—
861Dic86—21no—
862Dic86—21no—
863Dic86—21no—
864Dic86—21no—
865Dic86—42no—
866Dic86—42no—
867Dic86—42no—
868Dic86—81no—
869Dic86—81no—
870C8×C43—21no—
871C8×C43—21no—
872C8×C43—21no—
873C8×C43—21no—
874C43⋊C8—21no—
875C43⋊C8—21no—
876C43⋊C8—21no—
877C43⋊C8—21no—
878#60834—431nomaximal, Sylow
879C22×C43—21no—
880C22×C43—21no—
881C22×C43—21no—
882C22×C43—41no—
883C22×C43—41no—
884C22×C43—41no—
885C22×C43—41no—
886C22×C43—41no—
887C22×C43—41no—
888C22×C43—41no—
889C22×C43—41no—
890C22×C43—41no—
891C22×C43C23×D411yescharacteristic
892C2×D43—21no—
893C2×D43—21no—
894C2×D43—21no—
895C2×D43—21no—
896C2×D43—21no—
897C2×D43—41no—
898C2×D43—41no—
899C2×D43—41no—
900C2×D43—41no—
901C2×D43—41no—
902C2×D43—41no—
903C2×D43—41no—
904C2×D43—41no—
905C2×D43—41no—
906C2×D43—41no—
907C2×D43—41no—
908C2×D43—41no—
909C2×D43—84no—
910C2×D43—162no—
911C2×D43—162no—
912C2×D43—162no—
913C2×D43#53512yes—
914C4×C43—21no—
915C4×C43—21no—
916C4×C43—21no—
917C4×C43—21no—
918C4×C43—21no—
919C4×C43—41no—
920C4×C43—41no—
921C4×C43—41no—
922C4×C43—41no—
923C4×C43—41no—
924C4×C43C2×H(5,𝔽2)11yescharacteristic
925C4×C43C2×H(5,𝔽2)11yescharacteristic
926Dic43—21no—
927Dic43—21no—
928Dic43—21no—
929Dic43—21no—
930Dic43—21no—
931Dic43—41no—
932Dic43—41no—
933Dic43—41no—
934Dic43—41no—
935Dic43#53512yes—
936#3500—431no—
937#3460—431no—
938#3225—431no—
939#3225—431no—
940#3224—431no—
941#3224—431no—
942#3221—431no—
943#3221—431no—
944#3220—431no—
945#3220—431no—
946#3219—431no—
947#3219D4311yescharacteristic, complemented
948#3213—431no—
949#3213—431no—
950#3211—431no—
951#3211—431no—
952#3207—431no—
953#3207—431no—
954#3155—431no—
955#3154—431no—
956#3137—431no—
957#3136—431no—
958#3040—431no—
959#3036—431no—
960#3035—431no—
961C2×#463—431no—
962#3013—431no—
963#3012—431no—
964#3010—431no—
965#3008—431no—
966#2925—431no—
967C2×C43—41no—
968C2×C43—81no—
969C2×C43—81no—
970C2×C43—81no—
971C2×C43C2×#53511yescharacteristic
972C2×C43#358411yescharacteristic
973C2×C43#358511yescharacteristic
974D43—22no—
975D43—41no—
976D43—81no—
977D43—81no—
978D43—81no—
979D43—81no—
980C2×2−1+4—431no—
981C2×H(5,𝔽2)—431no—
982C2×#137—431no—
983C2×AGL(1,ℤ/8)—431no—
984C2×AGL(1,ℤ/8)—431no—
985C2×AGL(1,ℤ/8)—431no—
986C2×#135—431no—
987C2×#135—431no—
988C22×SD16—431no—
989C22×D8—431no—
990#548—861no—
991#548—861no—
992#546—861no—
993#546—861no—
994#546—861no—
995#546—861no—
996#546—861no—
997#546—861no—
998#544—431no—
999#542—431no—
1000#542—431no—
1001#542—861no—
1002#540—431no—
1003#540—431no—
1004#540—861no—
1005#538—861no—
1006#538—861no—
1007#537—431no—
1008#536—431no—
1009#536—431no—
1010#536—431no—
1011#535—431no—
1012#535—431no—
1013#535—431no—
1014#535—431no—
1015#535—431no—
1016#532—431no—
1017#532—431no—
1018#532—431no—
1019#532—431no—
1020#532—861no—
1021#532C2×D4311yescharacteristic, complemented
1022#529—431no—
1023#529—861no—
1024#529C2×D4311yescharacteristic, complemented
1025C2×#124—431no—
1026C2×#124—431no—
1027C2×#124—431no—
1028#525—861no—
1029#525—861no—
1030C4×#41—431no—
1031C4×#41—431no—
1032C2×C4×D4—431no—
1033#497—431no—
1034#497C2×D4311yescharacteristic, complemented
1035#496—431no—
1036#496—431no—
1037#496—431no—
1038#496—431no—
1039#496—431no—
1040#496C2×D4311yescharacteristic, complemented
1041#495—431no—
1042#495—431no—
1043#495—431no—
1044#495—431no—
1045#493—431no—
1046#493—431no—
1047#492—431no—
1048#492—431no—
1049#491—431no—
1050#491C2×D4311yescharacteristic, complemented
1051#490—431no—
1052#490C2×D4311yescharacteristic, complemented
1053#489—431no—
1054#489—431no—
1055#489—431no—
1056#489—431no—
1057#488—431no—
1058#488—431no—
1059#488—431no—
1060#488—431no—
1061#487—431no—
1062#487—431no—
1063#486—431no—
1064#486—431no—
1065#464—431no—
1066#464—431no—
1067#464—431no—
1068#464—431no—
1069#464C2×D4311yescharacteristic, complemented
1070#464C2×D4311yescharacteristic, complemented
1071#463—431no—
1072#463—431no—
1073#463—431no—
1074#463—431no—
1075#463—431no—
1076#463—431no—
1077#463—431no—
1078#463—431no—
1079#463—431no—
1080#463—431no—
1081#463—431no—
1082#463—431no—
1083#463—431no—
1084#463—431no—
1085#463—431no—
1086#463—431no—
1087#463C2×D4311yescharacteristic, complemented
1088#463C2×D4311yescharacteristic, complemented
1089#462—431no—
1090#461—431no—
1091#461—431no—
1092#461—431no—
1093#460—431no—
1094#459—431no—
1095#459—431no—
1096#459—431no—
1097#452—431no—
1098#452—431no—
1099#452C2×D4311yescharacteristic, complemented
1100#452C2×D4311yescharacteristic, complemented
1101#451—431no—
1102#451—431no—
1103#450—431no—
1104#450—431no—
1105#449—431no—
1106#449—431no—
1107#449—431no—
1108#449—431no—
1109#449—431no—
1110#449—431no—
1111#449—431no—
1112#449—431no—
1113#449—431no—
1114#449—431no—
1115#449C2×D4311yescharacteristic
1116#449C2×D4311yescharacteristic, complemented
1117#448—431no—
1118#448—431no—
1119#448—431no—
1120#448—431no—
1121#448—431no—
1122#448—431no—
1123#447—431no—
1124#447—431no—
1125#447—431no—
1126#447—431no—
1127#447—431no—
1128#447—431no—
1129#433—431no—
1130#433—431no—
1131#433—431no—
1132#433—431no—
1133#432—431no—
1134#432C2×D4311yescharacteristic, complemented
1135#431—431no—
1136#431—431no—
1137#423—431no—
1138C2×C4⋊C8—431no—
1139#419—431no—
1140#418—431no—
1141#417—431no—
1142#417—431no—
1143#416—431no—
1144#416—431no—
1145C2×#103—431no—
1146C2×#102—431no—
1147#408—431no—
1148#408—431no—
1149#405—431no—
1150#405—431no—
1151C43#6083411yescharacteristic, complemented, Sylow
11522−1+4—1722no—
11532−1+4—1722no—
1154H(5,𝔽2)—1722no—
1155H(5,𝔽2)—1722no—
1156C2×#41—431no—
1157C2×#41—431no—
1158C2×#41—431no—
1159C2×#41—431no—
1160C2×#41—431no—
1161C2×#41—431no—
1162C2×#41—861no—
1163C2×#41—861no—
1164C2×#41—861no—
1165C2×#41—861no—
1166C2×#41—861no—
1167C2×#41—861no—
1168C2×#41C22×D4311yescharacteristic
1169C2×#41C22×D4311yescharacteristic
1170C22×Q8—431no—
1171C22×Q8—431no—
1172C22×Q8—431no—
1173C22×Q8—861no—
1174C22×D4—431no—
1175C22×D4—431no—
1176C22×D4—431no—
1177C22×D4—431no—
1178C22×D4—861no—
1179C22×D4—861no—
1180C22×D4—861no—
1181C23×C4—861no—
1182#137—1722no—
1183AGL(1,ℤ/8)—1722no—
1184AGL(1,ℤ/8)—1722no—
1185AGL(1,ℤ/8)—1722no—
1186#135—1722no—
1187#135—1722no—
1188C2×Q16—431no—
1189C2×Q16—431no—
1190C2×Q16C22×D4311yescharacteristic
1191C2×Q16C22×D4311yescharacteristic
1192C2×SD16—431no—
1193C2×SD16—431no—
1194C2×SD16—431no—
1195C2×SD16—431no—
1196C2×SD16—431no—
1197C2×SD16—431no—
1198C2×SD16—431no—
1199C2×SD16—431no—
1200C2×SD16—431no—
1201C2×SD16—431no—
1202C2×SD16—431no—
1203C2×SD16—431no—
1204C2×SD16—1722no—
1205C2×SD16C22×D4311yescharacteristic
1206C2×SD16C22×D4311yescharacteristic
1207C2×SD16C22×D4311yescharacteristic
1208C2×SD16C22×D4311yescharacteristic
1209C2×D8—431no—
1210C2×D8—431no—
1211C2×D8—431no—
1212C2×D8—431no—
1213C2×D8—431no—
1214C2×D8—431no—
1215C2×D8—431no—
1216C2×D8—431no—
1217C2×D8—431no—
1218C2×D8—431no—
1219C2×D8—1722no—
1220C2×D8C22×D4311yescharacteristic
1221C2×D8C22×D4311yescharacteristic
1222C2×M16—431no—
1223C2×M16—431no—
1224C22×C8—431no—
1225C22×C8—431no—
1226C4⋊Q8—431no—
1227C4⋊Q8—431no—
1228C4⋊Q8—431no—
1229C4⋊Q8—431no—
1230C4⋊Q8—861no—
1231C4⋊Q8C22×D4311yescharacteristic
1232#127—431no—
1233#127—431no—
1234#127—431no—
1235#127—431no—
1236#127—861no—
1237#127C22×D4311yescharacteristic
1238#126—21no—
1239#126—861no—
1240#126—861no—
1241#126—861no—
1242#125—431no—
1243#125—861no—
1244#125C22×D4311yescharacteristic
1245#124—431no—
1246#124—431no—
1247#124—431no—
1248#124—431no—
1249#124—431no—
1250#124—431no—
1251#124—431no—
1252#124—431no—
1253#124—431no—
1254#124—861no—
1255#124—861no—
1256#124—861no—
1257#124—861no—
1258#124—861no—
1259#124—861no—
1260#124—861no—
1261#124—861no—
1262#124—861no—
1263#124—861no—
1264#124—861no—
1265#124C22×D4311yescharacteristic
1266#124C22×D4311yescharacteristic
1267#124C22×D4311yescharacteristic
1268#123—21no—
1269#123—861no—
1270#123—861no—
1271#123—861no—
1272#123—861no—
1273#123—861no—
1274#123—861no—
1275#123—861no—
1276#123—861no—
1277#123—861no—
1278#123—861no—
1279#123—861no—
1280#123—861no—
1281#123—861no—
1282C22⋊Q8—431no—
1283C22⋊Q8—861no—
1284C22⋊Q8—861no—
1285C22⋊Q8—861no—
1286C22⋊Q8—861no—
1287C22⋊Q8—861no—
1288C22⋊Q8—861no—
1289C22⋊Q8—861no—
1290C22⋊Q8—861no—
1291C22⋊Q8—861no—
1292C22⋊Q8—861no—
1293C22⋊Q8—861no—
1294C22⋊Q8C22×D4311yescharacteristic
1295#121—21no—
1296#121—21no—
1297#121—431no—
1298#121—431no—
1299#121—431no—
1300#121—431no—
1301#121—431no—
1302#121—861no—
1303#121—861no—
1304#121—861no—
1305#121—861no—
1306#121—861no—
1307#121—861no—
1308#121—861no—
1309#121—861no—
1310#121—861no—
1311#121—861no—
1312#121—861no—
1313#121—861no—
1314#121—861no—
1315#121—861no—
1316#121—861no—
1317#121—861no—
1318#121—861no—
1319#121—861no—
1320#121—861no—
1321#121—861no—
1322#121—861no—
1323#121C22×D4311yescharacteristic
1324#120—861no—
1325#120—861no—
1326#120—861no—
1327#120—861no—
1328#120—861no—
1329#120—861no—
1330#120—861no—
1331#120—861no—
1332#120—861no—
1333#120—861no—
1334C4×Q8—431no—
1335C4×Q8—431no—
1336C4×Q8—431no—
1337C4×Q8C22×D4311yescharacteristic
1338C4×D4—21no—
1339C4×D4—21no—
1340C4×D4—21no—
1341C4×D4—431no—
1342C4×D4—431no—
1343C4×D4—431no—
1344C4×D4—431no—
1345C4×D4—431no—
1346C4×D4—431no—
1347C4×D4—431no—
1348C4×D4—431no—
1349C4×D4—431no—
1350C4×D4—431no—
1351C4×D4—431no—
1352C4×D4—861no—
1353C4×D4—861no—
1354C4×D4—861no—
1355C4×D4—861no—
1356C4×D4—861no—
1357C4×D4—861no—
1358C4×D4—861no—
1359C4×D4—861no—
1360C4×D4—861no—
1361C4×D4—861no—
1362C4×D4—861no—
1363C4×D4C22×D4311yescharacteristic
1364#117—21no—
1365#117—431no—
1366#117—431no—
1367#117—431no—
1368#117—431no—
1369#117—861no—
1370#117—861no—
1371C2×C4⋊C4—431no—
1372C2×C22⋊C4—861no—
1373C2×C22⋊C4—861no—
1374C2×C22⋊C4—861no—
1375C2×C22⋊C4—861no—
1376C2×C22⋊C4—861no—
1377C2×C22⋊C4—861no—
1378C2×C22⋊C4—861no—
1379C2×C42—431no—
1380C2×C42—431no—
1381C2×C42—861no—
1382C2×C42C22×D4311yescharacteristic
1383C4⋊C8—431no—
1384C4⋊C8—431no—
1385C4⋊C8—431no—
1386C4⋊C8—431no—
1387C4⋊C8—431no—
1388C4⋊C8—431no—
1389C4⋊C8C22×D4311yescharacteristic
1390C4⋊C8C22×D4311yescharacteristic
1391#103—431no—
1392#103—431no—
1393#103—431no—
1394#103—431no—
1395#103—431no—
1396#103—431no—
1397#103—431no—
1398#103—431no—
1399#103—431no—
1400#103—431no—
1401#103—431no—
1402#103—431no—
1403#103C22×D4311yescharacteristic
1404#103C22×D4311yescharacteristic
1405#103C22×D4311yescharacteristic
1406#103C22×D4311yescharacteristic
1407#102—431no—
1408#102—431no—
1409#102—431no—
1410#102—431no—
1411#102—431no—
1412#102—431no—
1413#102—431no—
1414#102—431no—
1415#102—431no—
1416#102—431no—
1417#102—431no—
1418#102—431no—
1419#102C22×D4311yescharacteristic
1420#102C22×D4311yescharacteristic
1421#102C22×D4311yescharacteristic
1422#102C22×D4311yescharacteristic
1423C22⋊C8—431no—
1424C22⋊C8—431no—
1425C22⋊C8—431no—
1426C22⋊C8—431no—
1427C22⋊C8—431no—
1428C22⋊C8—431no—
1429C22⋊C8C22×D4311yescharacteristic
1430C22⋊C8C22×D4311yescharacteristic
1431#97—431no—
1432#97—431no—
1433#97C22×D4311yescharacteristic
1434#97C22×D4311yescharacteristic
1435C4×C8—431no—
1436C4×C8—431no—
1437C4×C8—431no—
1438C4×C8—431no—
1439C24—861no—
1440C24—861no—
1441C24—861no—
1442C24—861no—
1443#41—41no—
1444#41—41no—
1445#41—41no—
1446#41—41no—
1447#41—862no—
1448#41—862no—
1449#41—862no—
1450#41—862no—
1451#41—862no—
1452#41—862no—
1453#41—862no—
1454#41—862no—
1455#41—3442no—
1456#41—3442no—
1457#41—1724no—
1458#41—1724no—
1459#41—1721no—
1460#41—1721no—
1461#41—1721no—
1462#41—1721no—
1463#41—1724no—
1464#41—1724no—
1465C2×Q8—431no—
1466C2×Q8—431no—
1467C2×Q8—431no—
1468C2×Q8—861no—
1469C2×Q8—861no—
1470C2×Q8—861no—
1471C2×Q8—862no—
1472C2×Q8—862no—
1473C2×Q8—861no—
1474C2×Q8—861no—
1475C2×Q8—1721no—
1476C2×Q8—1721no—
1477C2×Q8—1724no—
1478C2×Q8—1721no—
1479C2×Q8—1721no—
1480C2×Q8C23×D4311yescharacteristic
1481C2×Q8C23×D4311yescharacteristic
1482C2×Q8C23×D4311yescharacteristic
1483C2×D4—21no—
1484C2×D4—21no—
1485C2×D4—21no—
1486C2×D4—21no—
1487C2×D4—21no—
1488C2×D4—431no—
1489C2×D4—431no—
1490C2×D4—431no—
1491C2×D4—431no—
1492C2×D4—431no—
1493C2×D4—431no—
1494C2×D4—431no—
1495C2×D4—861no—
1496C2×D4—861no—
1497C2×D4—861no—
1498C2×D4—861no—
1499C2×D4—861no—
1500C2×D4—862no—
1501C2×D4—862no—
1502C2×D4—862no—
1503C2×D4—862no—
1504C2×D4—861no—
1505C2×D4—861no—
1506C2×D4—861no—
1507C2×D4—861no—
1508C2×D4—861no—
1509C2×D4—861no—
1510C2×D4—861no—
1511C2×D4—861no—
1512C2×D4—861no—
1513C2×D4—861no—
1514C2×D4—861no—
1515C2×D4—861no—
1516C2×D4—861no—
1517C2×D4—861no—
1518C2×D4—861no—
1519C2×D4—861no—
1520C2×D4—861no—
1521C2×D4—1721no—
1522C2×D4—1721no—
1523C2×D4—1724no—
1524C2×D4—1721no—
1525C2×D4—1721no—
1526C2×D4—1724no—
1527C2×D4—1724no—
1528C2×D4C23×D4311yescharacteristic
1529C2×D4C23×D4311yescharacteristic
1530C2×D4C23×D4311yescharacteristic
1531C22×C4—21no—
1532C22×C4—21no—
1533C22×C4—21no—
1534C22×C4—431no—
1535C22×C4—431no—
1536C22×C4—431no—
1537C22×C4—431no—
1538C22×C4—431no—
1539C22×C4—431no—
1540C22×C4—861no—
1541C22×C4—861no—
1542C22×C4—861no—
1543C22×C4—861no—
1544C22×C4—861no—
1545C22×C4—861no—
1546C22×C4—861no—
1547C22×C4—861no—
1548C22×C4—861no—
1549C22×C4—861no—
1550C22×C4—861no—
1551C22×C4—861no—
1552C22×C4—861no—
1553C22×C4—861no—
1554C22×C4—3442no—
1555C22×C4D4×D4311yescharacteristic
1556C22×C4D4×D4311yescharacteristic
1557C22×C4C23×D4311yescharacteristic
1558Q16—41no—
1559Q16—41no—
1560Q16—1721no—
1561Q16—1721no—
1562SD16—41no—
1563SD16—41no—
1564SD16—41no—
1565SD16—41no—
1566SD16—1721no—
1567SD16—1721no—
1568SD16—1721no—
1569SD16—1721no—
1570SD16—1721no—
1571SD16—1721no—
1572SD16—1721no—
1573SD16—1721no—
1574SD16—1721no—
1575SD16—1721no—
1576SD16—1721no—
1577SD16—1721no—
1578D8—41no—
1579D8—41no—
1580D8—1721no—
1581D8—1721no—
1582D8—1721no—
1583D8—1721no—
1584D8—1721no—
1585D8—1721no—
1586D8—1721no—
1587D8—1721no—
1588D8—1721no—
1589D8—1721no—
1590M16—862no—
1591M16—862no—
1592C2×C8—431no—
1593C2×C8—431no—
1594C2×C8—431no—
1595C2×C8—431no—
1596C2×C8—862no—
1597C2×C8—862no—
1598C2×C8C23×D4311yescharacteristic
1599C2×C8C23×D4311yescharacteristic
1600C2×C8C23×D4311yescharacteristic
1601C2×C8C23×D4311yescharacteristic
1602C4⋊C4—21no—
1603C4⋊C4—21no—
1604C4⋊C4—21no—
1605C4⋊C4—21no—
1606C4⋊C4—21no—
1607C4⋊C4—21no—
1608C4⋊C4—431no—
1609C4⋊C4—431no—
1610C4⋊C4—431no—
1611C4⋊C4—431no—
1612C4⋊C4—431no—
1613C4⋊C4—431no—
1614C4⋊C4—431no—
1615C4⋊C4—431no—
1616C4⋊C4—861no—
1617C4⋊C4—861no—
1618C4⋊C4—861no—
1619C4⋊C4—861no—
1620C4⋊C4—861no—
1621C4⋊C4—861no—
1622C4⋊C4—861no—
1623C4⋊C4—861no—
1624C4⋊C4—861no—
1625C4⋊C4—861no—
1626C4⋊C4—861no—
1627C4⋊C4C23×D4311yescharacteristic
1628C4⋊C4C23×D4311yescharacteristic
1629C22⋊C4—21no—
1630C22⋊C4—21no—
1631C22⋊C4—21no—
1632C22⋊C4—21no—
1633C22⋊C4—21no—
1634C22⋊C4—21no—
1635C22⋊C4—21no—
1636C22⋊C4—21no—
1637C22⋊C4—21no—
1638C22⋊C4—431no—
1639C22⋊C4—431no—
1640C22⋊C4—431no—
1641C22⋊C4—431no—
1642C22⋊C4—431no—
1643C22⋊C4—431no—
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—
1654C22⋊C4—861no—
1655C22⋊C4—861no—
1656C22⋊C4—861no—
1657C22⋊C4—861no—
1658C22⋊C4—861no—
1659C22⋊C4—861no—
1660C22⋊C4—861no—
1661C22⋊C4—861no—
1662C22⋊C4—861no—
1663C22⋊C4—861no—
1664C22⋊C4—861no—
1665C22⋊C4—861no—
1666C22⋊C4—861no—
1667C22⋊C4—861no—
1668C22⋊C4—861no—
1669C22⋊C4—861no—
1670C22⋊C4—861no—
1671C22⋊C4—861no—
1672C22⋊C4—861no—
1673C22⋊C4—861no—
1674C42—21no—
1675C42—431no—
1676C42—431no—
1677C42—431no—
1678C42—431no—
1679C42—431no—
1680C42—431no—
1681C42—861no—
1682C42—861no—
1683C42D4×D4311yescharacteristic
1684C42D4×D4311yescharacteristic
1685C42C23×D4311yescharacteristic
1686C42C23×D4311yescharacteristic
1687C23—21no—
1688C23—21no—
1689C23—21no—
1690C23—431no—
1691C23—431no—
1692C23—861no—
1693C23—861no—
1694C23—861no—
1695C23—861no—
1696C23—3441no—
1697C23—3441no—
1698C23—3441no—
1699C23—3441no—
1700C23—3441no—
1701C23—3441no—
1702C23—3441no—
1703C23—3441no—
1704C23—1722no—
1705C23—1722no—
1706C23—1722no—
1707C23—1722no—
1708C23C2×D4×D4311yescharacteristic
1709Q8—21no—
1710Q8—21no—
1711Q8—21no—
1712Q8—21no—
1713Q8—21no—
1714Q8—21no—
1715Q8—862no—
1716Q8—861no—
1717Q8—861no—
1718Q8—861no—
1719Q8—861no—
1720Q8—3441no—
1721Q8—3441no—
1722Q8—1722no—
1723Q8—1722no—
1724Q8—1722no—
1725D4—21no—
1726D4—21no—
1727D4—21no—
1728D4—21no—
1729D4—21no—
1730D4—21no—
1731D4—42no—
1732D4—42no—
1733D4—81no—
1734D4—81no—
1735D4—81no—
1736D4—862no—
1737D4—862no—
1738D4—862no—
1739D4—861no—
1740D4—861no—
1741D4—861no—
1742D4—861no—
1743D4—861no—
1744D4—861no—
1745D4—861no—
1746D4—861no—
1747D4—3441no—
1748D4—3441no—
1749D4—3441no—
1750D4—3441no—
1751D4—3441no—
1752D4—3441no—
1753D4—3441no—
1754D4—3441no—
1755D4—3441no—
1756D4—3441no—
1757D4—3441no—
1758D4—3441no—
1759D4—3441no—
1760D4—1722no—
1761D4—1722no—
1762D4—1722no—
1763D4—1722no—
1764D4—1722no—
1765D4—1722no—
1766D4—1722no—
1767D4—1722no—
1768D4—1722no—
1769C2×C4—21no—
1770C2×C4—21no—
1771C2×C4—21no—
1772C2×C4—21no—
1773C2×C4—21no—
1774C2×C4—21no—
1775C2×C4—21no—
1776C2×C4—41no—
1777C2×C4—41no—
1778C2×C4—42no—
1779C2×C4—42no—
1780C2×C4—42no—
1781C2×C4—431no—
1782C2×C4—432no—
1783C2×C4—432no—
1784C2×C4—431no—
1785C2×C4—431no—
1786C2×C4—431no—
1787C2×C4—431no—
1788C2×C4—431no—
1789C2×C4—861no—
1790C2×C4—861no—
1791C2×C4—861no—
1792C2×C4—861no—
1793C2×C4—861no—
1794C2×C4—861no—
1795C2×C4—3441no—
1796C2×C4—3441no—
1797C2×C4—3441no—
1798C2×C4—3441no—
1799C2×C4—1721no—
1800C2×C4—1721no—
1801C2×C4—1721no—
1802C2×C4—1721no—
1803C2×C4—1722no—
1804C2×C4—1722no—
1805C2×C4—1722no—
1806C2×C4—1722no—
1807C2×C4—1722no—
1808C2×C4—1722no—
1809C2×C4—1722no—
1810C2×C4—1722no—
1811C2×C4—1722no—
1812C2×C4—1722no—
1813C2×C4C2×D4×D4311yescharacteristic
1814C2×C4C2×D4×D4311yescharacteristic
1815C2×C4C2×D4×D4311yescharacteristic
1816C2×C4C2×D4×D4311yescharacteristic
1817C2×C4C2×D4×D4311yescharacteristic
1818C2×C4C24×D4311yescharacteristic
1819C8—21no—
1820C8—21no—
1821C8—21no—
1822C8—21no—
1823C8—861no—
1824C8—861no—
1825C8—861no—
1826C8—861no—
1827C22—21no—
1828C22—21no—
1829C22—21no—
1830C22—41no—
1831C22—41no—
1832C22—41no—
1833C22—41no—
1834C22—41no—
1835C22—41no—
1836C22—41no—
1837C22—41no—
1838C22—41no—
1839C22—432no—
1840C22—861no—
1841C22—861no—
1842C22—861no—
1843C22—861no—
1844C22—861no—
1845C22—3444no—
1846C22—1721no—
1847C22—1721no—
1848C22—1721no—
1849C22—1721no—
1850C22—1721no—
1851C22—1721no—
1852C22—1721no—
1853C22—1721no—
1854C22—1721no—
1855C22—1721no—
1856C22—1721no—
1857C22—1721no—
1858C22—6882no—
1859C22—6882no—
1860C22—6882no—
1861C22C22×D4×D4311yescharacteristic
1862C4—21no—
1863C4—21no—
1864C4—21no—
1865C4—21no—
1866C4—21no—
1867C4—41no—
1868C4—41no—
1869C4—41no—
1870C4—41no—
1871C4—41no—
1872C4—432no—
1873C4—861no—
1874C4—861no—
1875C4—861no—
1876C4—861no—
1877C4—861no—
1878C4—1721no—
1879C4—1721no—
1880C4—1721no—
1881C4—1721no—
1882C4H(5,𝔽2)×D4311yescharacteristic
1883C4H(5,𝔽2)×D4311yescharacteristic
1884C2—41no—
1885C2—81no—
1886C2—81no—
1887C2—81no—
1888C2—862no—
1889C2—3441no—
1890C2—3441no—
1891C2—3441no—
1892C2—3441no—
1893C2—1721no—
1894C2#535×D4311yescharacteristic
1895C2#1914936811yescharacteristic
1896C2#1914937211yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3219C2
socleC22×C43C23×D4
hypercenter#3219D43
hypocenterC43#60834
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C2×C42 ◁ #3219

Complements

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

NH ≅ G/Ntype
1. #19148382C2semidirect
2. #19148016C2semidirect
3. #19145708C2semidirect
4. #19145699C2semidirect
5. #19145695C2semidirect
6. #19145684C2semidirect
7. #19145657C2semidirect
8. #19145654C2semidirect
9. #19145646C2semidirect
10. #19145643C2semidirect
11. #19145637C2semidirect
12. #19145584C2semidirect
13. #19145580C2semidirect
14. #19145564C2semidirect
15. #19145556C2semidirect
16. #19145528C2semidirect
17. #19145527C2semidirect
18. #19145079C2semidirect
19. #19145070C2semidirect
20. #19144961C2semidirect
21. #19144950C2semidirect
22. #19144086C2semidirect
23. #19144057C2semidirect
24. #19144049C2semidirect
25. #463×D43C2semidirect
26. #19143914C2semidirect
27. #19143903C2semidirect
28. #19143878C2semidirect
29. #19143860C2semidirect
30. #19143262C2semidirect
31. C43×#3219C2semidirect
34. C2×#13063357C22semidirect
37. C2×#13063349C22semidirect
39. C2×#13063346C22semidirect
40. C2×SD16×D43C22semidirect
50. #14583529C22semidirect
51. #14583522C22semidirect
52. #14583518C22semidirect
54. #14583505C22semidirect
55. #14583502C22semidirect
61. #14583474C22semidirect
62. #14583470C22semidirect
63. #14583467C22semidirect
65. #14583463C22semidirect
67. #14583462C22semidirect
68. #14583449C22semidirect
70. #14583448C22semidirect
72. #14583446C22semidirect
73. #14583436C22semidirect
75. C2×#13063313C22semidirect
77. #124×D43C22semidirect
80. C4×#10621902C22semidirect
82. C4×D4×D43C22semidirect
83. #14583292C22semidirect
84. #14583288C22semidirect
85. #14583288C22semidirect
86. #14583287C22semidirect
87. #14583285C22semidirect
88. #14583285C22semidirect
89. #14583284C22semidirect
90. #14583281C22semidirect
91. #14583281C22semidirect
92. #14583280C22semidirect
93. #14583275C22semidirect
94. #14583274C22semidirect
95. #14583273C22semidirect
96. #14583270C22semidirect
97. #14583266C22semidirect
98. #14583262C22semidirect
99. #14583260C22semidirect
100. #14583259C22semidirect
101. #14583259C22semidirect
102. #14583257C22semidirect
103. #14583256C22semidirect
104. #14583256C22semidirect
105. #14583255C22semidirect
106. #14583252C22semidirect
107. #14583249C22semidirect
108. #14583248C22semidirect
109. #14583245C22semidirect
110. #14583244C22semidirect
111. #14583123C22semidirect
112. #14583121C22semidirect
113. #14583121C22semidirect
114. #14583119C22semidirect
115. #14583117C22semidirect
116. #14583117C22semidirect
117. #14583116C22semidirect
118. #14583115C22semidirect
119. #14583115C22semidirect
120. #14583115C22semidirect
121. #14583115C22semidirect
122. #14583114C22semidirect
123. #14583114C22semidirect
124. #14583113C22semidirect
125. #14583113C22semidirect
126. #14583112C22semidirect
127. #14583111C22semidirect
128. #14583111C22semidirect
129. #14583111C22semidirect
130. #14583111C22semidirect
131. #14583107C22semidirect
132. #14583103C22semidirect
133. #14583103C22semidirect
134. #14583102C22semidirect
135. #14583097C22semidirect
136. #14583093C22semidirect
137. #14583093C22semidirect
138. #14583092C22semidirect
139. #14583060C22semidirect
140. #14583058C22semidirect
141. #14583054C22semidirect
142. #14583053C22semidirect
143. #14583049C22semidirect
144. #14583048C22semidirect
146. #14583047C22semidirect
147. #14583045C22semidirect
148. #14583045C22semidirect
150. #14583044C22semidirect
151. #14583044C22semidirect
152. #14583044C22semidirect
154. #14583041C22semidirect
155. #14583040C22semidirect
156. #14583040C22semidirect
157. #14583039C22semidirect
158. #14583039C22semidirect
159. #14583037C22semidirect
160. #14583036C22semidirect
162. #14583035C22semidirect
164. #14583034C22semidirect
167. #14582961C22semidirect
168. #14582961C22semidirect
169. #14582957C22semidirect
170. #14582957C22semidirect
171. #14582955C22semidirect
172. #14582952C22semidirect
173. #14582951C22semidirect
174. #14582921C22semidirect
175. C4⋊C8×D43C22semidirect
176. #14582906C22semidirect
179. #14582897C22semidirect
181. #14582892C22semidirect
182. #103×D43C22semidirect
186. #14582856C22semidirect
187. #14582856C22semidirect
188. C43×#532C22semidirect
189. C43×#529C22semidirect
190. C43×#497C22semidirect
191. C43×#496C22semidirect
192. C43×#491C22semidirect
193. C43×#490C22semidirect
194. C43×#464C22semidirect
195. C43×#464C22semidirect
196. C43×#463C22semidirect
197. C43×#463C22semidirect
198. C43×#452C22semidirect
199. C43×#452C22semidirect
201. C43×#449C22semidirect
202. C43×#432C22semidirect
947. #3219D43semidirect
1021. #532C2×D43semidirect
1024. #529C2×D43semidirect
1034. #497C2×D43semidirect
1040. #496C2×D43semidirect
1050. #491C2×D43semidirect
1052. #490C2×D43semidirect
1069. #464C2×D43semidirect
1070. #464C2×D43semidirect
1087. #463C2×D43semidirect
1088. #463C2×D43semidirect
1099. #452C2×D43semidirect
1100. #452C2×D43semidirect
1116. #449C2×D43semidirect
1134. #432C2×D43semidirect
1151. C43#60834semidirect

Maximal subgroups

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

subgroupindex
#191483822
#191480162
#191457082
#191456992
#191456952
#191456842
#191456572
#191456542
#191456462
#191456432
#191456372
#191455842
#191455802
#191455642
#191455562
#191455282
#191455272
#191450792
#191450702
#191449612
#191449502
#191440862
#191440572
#191440492
#463×D432
#191439142
#191439032
#191438782
#191438602
#191432622
C43×#32192
#6083443