Finite Group Databasebeta

← #25968200

Subgroups — #25968200

Order 11008.

2086 conjugacy classes of subgroups.

The subgroup lattice has 1864 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19148322C211yesmaximal, characteristic, complemented
2#536×D43C211yesmaximal, characteristic, complemented
3#19145706C211yesmaximal, characteristic, complemented
4#19145704C211yesmaximal, characteristic, complemented
5#19145702C211yesmaximal, characteristic, complemented
6#19145700C211yesmaximal, characteristic, complemented
7#19145654C211yesmaximal, characteristic, complemented
8#19145652C211yesmaximal, characteristic, complemented
9#19145650C211yesmaximal, characteristic, complemented
10#19145623C211yesmaximal, characteristic, complemented
11#19145621C211yesmaximal, characteristic, complemented
12#19145580C211yesmaximal, characteristic, complemented
13#19145577C211yesmaximal, characteristic, complemented
14#19145561C211yesmaximal, characteristic, complemented
15#19145558C211yesmaximal, characteristic, complemented
16#19145519C211yesmaximal, characteristic, complemented
17#19145516C211yesmaximal, characteristic, complemented
18#19145068C211yesmaximal, characteristic, complemented
19#19145064C211yesmaximal, characteristic, complemented
20#19144961C211yesmaximal, characteristic, complemented
21#19144959C211yesmaximal, characteristic, complemented
22#19144146C211yesmaximal, characteristic, complemented
23#19144140C211yesmaximal, characteristic, complemented
24#19144105C211yesmaximal, characteristic, complemented
25#19144102C211yesmaximal, characteristic, complemented
26#19143844C211yesmaximal, characteristic, complemented
27#19143826C211yesmaximal, characteristic, complemented
28#19143810C211yesmaximal, characteristic, complemented
29#448×D43C211yesmaximal, characteristic, complemented
30#19143251C211yesmaximal, characteristic, complemented
31C43×#3221C211yesmaximal, characteristic, complemented
32C2×#41×D43C2211yescharacteristic
33C22×Q8×D43C2211yescharacteristic
34C2×#13063354C2211yescharacteristic, complemented
35C2×#13063354C2211yescharacteristic, complemented
36C2×#13063352C2211yescharacteristic
37C2×#13063349C2211yescharacteristic
38C2×#13063346C2211yescharacteristic
39C2×#13063344C2211yescharacteristic
40C2×SD16×D43C2211yescharacteristic, complemented
41C2×SD16×D43C2211yescharacteristic, complemented
42#14583613—21no—
43#14583594—21no—
44#14583592—21no—
45#14583577—21no—
46#14583572—21no—
47#14583547—21no—
48#14583546—21no—
49#14583538—21no—
50#14583529C2211yescharacteristic, complemented
51#14583520C2211yescharacteristic, complemented
52#14583516C2211yescharacteristic, complemented
53#14583502C2211yescharacteristic, complemented
54#14583475C2211yescharacteristic, complemented
55#14583474C2211yescharacteristic
56#14583474C2211yescharacteristic
57#14583473C2211yescharacteristic, complemented
58#14583472—21no—
59#14583472—21no—
60#14583471—21no—
61#14583471—21no—
62#14583470C2211yescharacteristic, complemented
63#14583469C2211yescharacteristic
64#14583469C2211yescharacteristic
65#14583462C2211yescharacteristic, complemented
66#14583447C2211yescharacteristic
67#14583446C2211yescharacteristic
68C4⋊Q8×D43C2211yescharacteristic, complemented
69C4⋊Q8×D43C2211yescharacteristic, complemented
70#14583434C2211yescharacteristic
71#14583431C2211yescharacteristic
72#124×D43C2211yescharacteristic, complemented
73#124×D43C2211yescharacteristic, complemented
74#14583409C2211yescharacteristic
75#123×D43—21no—
76#123×D43—21no—
77C22⋊Q8×D43—21no—
78C22⋊Q8×D43—21no—
79#121×D43C2211yescharacteristic
80#14583378C2211yescharacteristic, complemented
81#14583371C2211yescharacteristic, complemented
82#117×D43C2211yescharacteristic
83#14583293C2211yescharacteristic, complemented
84#14583291C2211yescharacteristic, complemented
85#14583290C2211yescharacteristic, complemented
86#14583290C2211yescharacteristic, complemented
87#14583287C2211yescharacteristic, complemented
88#14583286C2211yescharacteristic, complemented
89#14583285C2211yescharacteristic, complemented
90#14583283C2211yescharacteristic, complemented
91#14583282C2211yescharacteristic, complemented
92#14583281C2211yescharacteristic, complemented
93#14583280C2211yescharacteristic, complemented
94#14583271C2211yescharacteristic, complemented
95#14583270C2211yescharacteristic, complemented
96#14583270C2211yescharacteristic, complemented
97#14583269C2211yescharacteristic, complemented
98#14583266C2211yescharacteristic, complemented
99#14583266C2211yescharacteristic, complemented
100#14583260C2211yescharacteristic, complemented
101#14583259C2211yescharacteristic, complemented
102#14583258C2211yescharacteristic, complemented
103#14583257C2211yescharacteristic, complemented
104#14583256C2211yescharacteristic, complemented
105#14583255C2211yescharacteristic, complemented
106#14583252C2211yescharacteristic, complemented
107#14583250C2211yescharacteristic, complemented
108#14583249C2211yescharacteristic, complemented
109#14583248C2211yescharacteristic, complemented
110#14583248C2211yescharacteristic, complemented
111#14583124C2211yescharacteristic, complemented
112#14583122C2211yescharacteristic, complemented
113#14583120C2211yescharacteristic, complemented
114#14583118C2211yescharacteristic, complemented
115#14583117C2211yescharacteristic, complemented
116#14583116C2211yescharacteristic, complemented
117#14583116C2211yescharacteristic, complemented
118#14583115C2211yescharacteristic, complemented
119#14583114C2211yescharacteristic, complemented
120#14583114C2211yescharacteristic, complemented
121#14583113C2211yescharacteristic, complemented
122#14583112C2211yescharacteristic, complemented
123#14583112C2211yescharacteristic, complemented
124#14583111C2211yescharacteristic, complemented
125#14583110C2211yescharacteristic, complemented
126#14583108C2211yescharacteristic, complemented
127#14583108C2211yescharacteristic, complemented
128#14583106C2211yescharacteristic, complemented
129#14583105C2211yescharacteristic, complemented
130#14583104C2211yescharacteristic, complemented
131#14583104C2211yescharacteristic, complemented
132#14583103C2211yescharacteristic, complemented
133#14583103C2211yescharacteristic, complemented
134#14583102C2211yescharacteristic, complemented
135#14583102C2211yescharacteristic, complemented
136#14583102C2211yescharacteristic, complemented
137#14583102C2211yescharacteristic, complemented
138#14583101C2211yescharacteristic, complemented
139#14583063C2211yescharacteristic, complemented
140#14583061C2211yescharacteristic, complemented
141#14583057C2211yescharacteristic, complemented
142#14583056C2211yescharacteristic, complemented
143#14583056C2211yescharacteristic, complemented
144#14583056C2211yescharacteristic, complemented
145#14583055C2211yescharacteristic, complemented
146#14583051C2211yescharacteristic, complemented
147#14583046C2211yescharacteristic
148#14583044C2211yescharacteristic
149#14583042C2211yescharacteristic
150#14583042C2211yescharacteristic, complemented
151#14583040C2211yescharacteristic, complemented
152#14583039C2211yescharacteristic
153#14583039C2211yescharacteristic
154#14583039C2211yescharacteristic
155#14583038C2211yescharacteristic, complemented
156#14583037C2211yescharacteristic, complemented
157#14583037C2211yescharacteristic, complemented
158#14583036C2211yescharacteristic
159#14583036C2211yescharacteristic
160#14583036C2211yescharacteristic
161#14583036C2211yescharacteristic, complemented
162#14583036C2211yescharacteristic, complemented
163#14583036C2211yescharacteristic, complemented
164#14583034C2211yescharacteristic
165#14583031C2211yescharacteristic
166#14583031C2211yescharacteristic, complemented
167#14582960C2211yescharacteristic, complemented
168#14582957C2211yescharacteristic, complemented
169#14582957C2211yescharacteristic, complemented
170#14582955C2211yescharacteristic, complemented
171#14582954C2211yescharacteristic, complemented
172#14582951C2211yescharacteristic, complemented
173#14582950C2211yescharacteristic, complemented
174#14582924C2211yescharacteristic, complemented
175#14582924C2211yescharacteristic, complemented
176#14582906C2211yescharacteristic, complemented
177#14582906C2211yescharacteristic, complemented
178#14582899C2211yescharacteristic
179#14582897C2211yescharacteristic
180#14582894C2211yescharacteristic
181#14582892C2211yescharacteristic
182#103×D43C2211yescharacteristic, complemented
183#103×D43C2211yescharacteristic, complemented
184#14582861C2211yescharacteristic
185C22⋊C8×D43C2211yescharacteristic
186#14582856C2211yescharacteristic, complemented
187#14582853C2211yescharacteristic, complemented
188C43×#540C2211yescharacteristic, complemented
189C43×#536C2211yescharacteristic, complemented
190C43×#496C2211yescharacteristic, complemented
191C43×#492C2211yescharacteristic, complemented
192C43×#491C2211yescharacteristic, complemented
193C43×#488C2211yescharacteristic, complemented
194C43×#463C2211yescharacteristic, complemented
195C43×#463C2211yescharacteristic, complemented
196C43×#461C2211yescharacteristic, complemented
197C43×#461C2211yescharacteristic, complemented
198C43×#449C2211yescharacteristic
199C43×#449C2211yescharacteristic, complemented
200C43×#448C2211yescharacteristic, complemented
201C43×#448C2211yescharacteristic, complemented
202C43×#433C2211yescharacteristic, complemented
203C2×#10621902C2311yescharacteristic
204C2×#10621898—21no—
205C2×#10621898—21no—
206C2×#10621898C2311yescharacteristic
207C2×#10621900—21no—
208C2×#10621900—21no—
209C2×#10621900C2311yescharacteristic
210C2×#10621900C2311yescharacteristic
211#41×D43—42no—
212#41×D43—42no—
213C22×Dic86—21no—
214C22×Dic86C2311yescharacteristic
215C2×Q8×D43—21no—
216C2×Q8×D43—21no—
217C2×Q8×D43—42no—
218C2×Q8×D43—42no—
219C2×Q8×D43C2311yescharacteristic
220C2×Q8×D43C2311yescharacteristic
221C2×Q8×D43C2311yescharacteristic
222C2×Q8×D43C2311yescharacteristic
223C2×Q8×D43C2311yescharacteristic
224C2×D4×D43—21no—
225C2×D4×D43—21no—
226C2×D4×D43C2311yescharacteristic
227C2×D4×D43C2311yescharacteristic
228C22×C4×D43—21no—
229C22×C4×D43—21no—
230C22×C4×D43C2311yescharacteristic
231#13063354—42no—
232#13063354—42no—
233#13063352—42no—
234#13063349—42no—
235#13063346—42no—
236#13063344—42no—
237C2×Dic172C2311yescharacteristic
238C2×Dic172C2311yescharacteristic
239C2×Dic172C2311yescharacteristic
240C2×#10621885C2311yescharacteristic
241C2×#10621885C2311yescharacteristic
242C2×#10621885C2311yescharacteristic
243C2×#10621873C2311yescharacteristic
244C2×#10621873C2311yescharacteristic
245C2×#10621873C2311yescharacteristic
246C2×#10621873C2311yescharacteristic
247C2×#10621883C2311yescharacteristic
248C2×#10621883C2311yescharacteristic
249C2×#10621883C2311yescharacteristic
250C2×#10621883C2311yescharacteristic
251C2×#10621883C2311yescharacteristic
252C2×#10621883C2311yescharacteristic
253C2×#10621883C2311yescharacteristic
254C2×#10621884C2311yescharacteristic
255C2×#10621884C2311yescharacteristic
256C2×#10621884C2311yescharacteristic
257SD16×D43—42no—
258SD16×D43—42no—
259C2×D344C2311yescharacteristic
260C2×#10621882C2311yescharacteristic
261C2×#10621882C2311yescharacteristic
262C2×#10621882C2311yescharacteristic
263C2×#10621872C2311yescharacteristic
264C2×#10621872C2311yescharacteristic
265C2×C8×D43C2311yescharacteristic
266C2×C8×D43C2311yescharacteristic
267#13063325C2311yescharacteristic
268#13063325C2311yescharacteristic
269#13063325C2311yescharacteristic
270#13063324—21no—
271#13063324—21no—
272#13063324—21no—
273#13063324—21no—
274#13063324—21no—
275#13063324C2311yescharacteristic
276#13063323C2311yescharacteristic
277#13063323C2311yescharacteristic
278#13063323C2311yescharacteristic
279#13063323C2311yescharacteristic
280#13063321C2311yescharacteristic
281#13063320—21no—
282#13063320—21no—
283#13063318—21no—
284#13063318—21no—
285#13063316C2311yescharacteristic
286#13063315—21no—
287#13063314C2311yescharacteristic
288#13063314C2311yescharacteristic
289#13063313C2311yescharacteristic
290#13063313C2311yescharacteristic
291#13063313C2311yescharacteristic
292#13063312—21no—
293#13063312—21no—
294#13063312C2311yescharacteristic
295#13063312C2311yescharacteristic
296#13063312C2311yescharacteristic
297#13063311—21no—
298#13063311—21no—
299#13063311—21no—
300#13063311—21no—
301#13063311—21no—
302#13063311—21no—
303#13063310—21no—
304#13063310—21no—
305#13063310—21no—
306#13063310—21no—
307#13063310—21no—
308#13063309—21no—
309#13063309—21no—
310#13063309—21no—
311#13063308—21no—
312#13063308—21no—
313#13063307—21no—
314#13063307—21no—
315#13063307—21no—
316#13063307—21no—
317#13063307—21no—
318#13063307—21no—
319#13063307—21no—
320#13063307—21no—
321#13063306—21no—
322#13063306—21no—
323#13063306—21no—
324#13063305—21no—
325#13063305—21no—
326#13063305—21no—
327#13063305C2311yescharacteristic
328#13063304—21no—
329#13063304—21no—
330#13063304C2311yescharacteristic
331#13063303—21no—
332#13063303—21no—
333#13063303—21no—
334#13063303—21no—
335#13063303—21no—
336#13063303—21no—
337#13063302—21no—
338#13063302—21no—
339#13063302—21no—
340#13063302—21no—
341#13063302—21no—
342#13063301—21no—
343#13063301—21no—
344#13063300C2311yescharacteristic
345#13063299C2311yescharacteristic
346#13063298—21no—
347#13063298—21no—
348#13063297—21no—
349#13063297—21no—
350#13063297—21no—
351#13063297—21no—
352#13063296—21no—
353#13063296—21no—
354#13063296C2311yescharacteristic
355#13063296C2311yescharacteristic
356#13063293—21no—
357#13063293—21no—
358#13063293—21no—
359C4×Dic86C2311yescharacteristic
360#13063290C2311yescharacteristic
361C4×D172C2311yescharacteristic
362D4×Dic43—21no—
363D4×Dic43—21no—
364D4×Dic43C2311yescharacteristic
365D4×Dic43C2311yescharacteristic
366#13063287—21no—
367#13063287C2311yescharacteristic
368C4×C22⋊D43—21no—
369C4×C22⋊D43—21no—
370C4×C22⋊D43—21no—
371C4×C22⋊D43—21no—
372(C22⋊D43)⋊C4—21no—
373(C22⋊D43)⋊C4—21no—
374(C22⋊D43)⋊C4—21no—
375#13063284—21no—
376#13063284C2311yescharacteristic
377#13063283—21no—
378#13063283D411yescharacteristic
379#13063283D411yescharacteristic
380#13063283C2311yescharacteristic
381#13063282C2311yescharacteristic
382#13063282C2311yescharacteristic
383#13063281—21no—
384#13063281D411yescharacteristic
385#13063281D411yescharacteristic
386C2×Dic43⋊C4—21no—
387C4⋊C4×D43—21no—
388C4⋊C4×D43—21no—
389C4⋊C4×D43—21no—
390C4⋊C4×D43—21no—
391C4⋊C4×D43D411yescharacteristic
392C4⋊C4×D43D411yescharacteristic
393C4⋊C4×D43C2311yescharacteristic
394C2×(C2×D43)⋊C4—21no—
395C22⋊C4×D43—21no—
396C22⋊C4×D43—21no—
397C22⋊C4×D43—21no—
398C22⋊C4×D43—21no—
399C22⋊C4×D43—21no—
400C22⋊C4×D43—21no—
401C22⋊C4×D43D411yescharacteristic
402C22⋊C4×D43D411yescharacteristic
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#13063250C2311yescharacteristic
416#13063250C2311yescharacteristic
417#13063249C2311yescharacteristic
418#13063249C2311yescharacteristic
419#13063249C2311yescharacteristic
420#13063249C2311yescharacteristic
421#13063249C2311yescharacteristic
422#13063249C2311yescharacteristic
423#13063248C2311yescharacteristic
424#13063248C2311yescharacteristic
425#13063248C2311yescharacteristic
426#13063248C2311yescharacteristic
427#13063248C2311yescharacteristic
428#13063248C2311yescharacteristic
429#13063247C2311yescharacteristic
430#13063247C2311yescharacteristic
431#13063246C2311yescharacteristic
432#13063246C2311yescharacteristic
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#13063236C2311yescharacteristic
442#13063235C2311yescharacteristic
443#13063235C2311yescharacteristic
444C4×C43⋊C8C2311yescharacteristic
445C8×Dic43C2311yescharacteristic
446C8×Dic43C2311yescharacteristic
447C2×#41×C43C2311yescharacteristic
448C22×Q8×C43C2311yescharacteristic
449C2×SD16×C43C2311yescharacteristic
450C2×SD16×C43C2311yescharacteristic
451C2×SD16×C43C2311yescharacteristic
452C2×SD16×C43C2311yescharacteristic
453C2×SD16×C43C2311yescharacteristic
454C2×SD16×C43C2311yescharacteristic
455C2×D8×C43C2311yescharacteristic
456C2×D8×C43C2311yescharacteristic
457C4⋊Q8×C43C2311yescharacteristic
458C4⋊Q8×C43C2311yescharacteristic
459#127×C43C2311yescharacteristic
460#125×C43C2311yescharacteristic
461#124×C43C2311yescharacteristic
462#124×C43C2311yescharacteristic
463#123×C43—21no—
464#123×C43—21no—
465#123×C43—21no—
466#123×C43—21no—
467C22⋊Q8×C43—21no—
468C22⋊Q8×C43—21no—
469#121×C43—21no—
470#121×C43—21no—
471#121×C43C2311yescharacteristic
472#121×C43C2311yescharacteristic
473C4×D4×C43C2311yescharacteristic
474C4×D4×C43C2311yescharacteristic
475#117×C43C2311yescharacteristic
476C4⋊C8×C43C2311yescharacteristic
477C4⋊C8×C43C2311yescharacteristic
478#103×C43C2311yescharacteristic
479#103×C43C2311yescharacteristic
480#103×C43C2311yescharacteristic
481#103×C43C2311yescharacteristic
482#103×C43C2311yescharacteristic
483#103×C43C2311yescharacteristic
484#102×C43C2311yescharacteristic
485#102×C43C2311yescharacteristic
486C22⋊C8×C43C2311yescharacteristic
487C22⋊C8×C43C2311yescharacteristic
488#97×C43C2311yescharacteristic
489C4×C8×C43C2311yescharacteristic
490C23×D43—21no—
491C23×D43—21no—
492C23×D43C2×D411yescharacteristic
493#41×C43—41no—
494#41×C43—41no—
495C2×Q8×C43—21no—
496C2×Q8×C43—41no—
497C2×Q8×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×C43—21no—
513C22×C4×C43C2411yescharacteristic
514C2×C22⋊D43—21no—
515C2×C22⋊D43—21no—
516C2×C22⋊D43—21no—
517C2×C22⋊D43—21no—
518C2×C22⋊D43—21no—
519C2×C22⋊D43—21no—
520C2×C22⋊D43—21no—
521C2×C22⋊D43—21no—
522C2×C22⋊D43—21no—
523C2×C22⋊D43—21no—
524C22×Dic43—21no—
525C22×Dic43—21no—
526C22×Dic43—21no—
527C22×Dic43—21no—
528C22×Dic43—21no—
529C22×Dic43C2×D411yescharacteristic
530#10621902—22no—
531#10621902—22no—
532Q8×D43—22no—
533Q8×D43—22no—
534Q8×D43—22no—
535Q8×D43—22no—
536Q8×D43—41no—
537Q8×D43—41no—
538Q8×D43—41no—
539Q8×D43—41no—
540Q8×D43—41no—
541Q8×D43—41no—
542Q8×D43—44no—
543Q8×D43—44no—
544#10621900—22no—
545#10621900—22no—
546#10621900—22no—
547#10621900—22no—
548#10621900—44no—
549#10621900—82no—
550D4×D43—22no—
551D4×D43—22no—
552D4×D43—44no—
553D4×D43—41no—
554D4×D43—41no—
555D4×D43—82no—
556#10621898—41no—
557#10621898—41no—
558#10621898—44no—
559#10621898—82no—
560C2×D172—21no—
561C2×D172—21no—
562C2×D172C2411yescharacteristic
563C2×D172C2411yescharacteristic
564C2×C4×D43—22no—
565C2×C4×D43—22no—
566C2×C4×D43—21no—
567C2×C4×D43—21no—
568C2×C4×D43—21no—
569C2×C4×D43—21no—
570C2×C4×D43—21no—
571C2×C4×D43—21no—
572C2×C4×D43—21no—
573C2×C4×D43—21no—
574C2×C4×D43—21no—
575C2×C4×D43—21no—
576C2×C4×D43—44no—
577C2×C4×D43—44no—
578C2×C4×D43C2×D411yescharacteristic
579C2×C4×D43C2×D411yescharacteristic
580C2×C4×D43C2×D411yescharacteristic
581C2×C4×D43C2×D411yescharacteristic
582C2×C4×D43C2×D411yescharacteristic
583C2×C4×D43C2×D411yescharacteristic
584C2×C4×D43C2411yescharacteristic
585C2×C4×D43C2411yescharacteristic
586C2×Dic86—21no—
587C2×Dic86—21no—
588C2×Dic86—21no—
589C2×Dic86—21no—
590C2×Dic86—21no—
591C2×Dic86—21no—
592C2×Dic86—21no—
593C2×Dic86—21no—
594C2×Dic86—41no—
595C2×Dic86—41no—
596C2×Dic86—44no—
597C2×Dic86C2411yescharacteristic
598C2×Dic86C2411yescharacteristic
599C2×Dic86C2411yescharacteristic
600C2×Dic86C2411yescharacteristic
601SD16×C43—41no—
602SD16×C43—41no—
603SD16×C43—41no—
604SD16×C43—41no—
605SD16×C43—41no—
606SD16×C43—41no—
607D8×C43—41no—
608D8×C43—41no—
609C2×C8×C43C2411yescharacteristic
610C2×C8×C43C2411yescharacteristic
611C2×C8×C43C2411yescharacteristic
612C2×C8×C43C2411yescharacteristic
613C4⋊C4×C43—21no—
614C4⋊C4×C43—21no—
615C4⋊C4×C43—21no—
616C4⋊C4×C43—21no—
617C4⋊C4×C43—21no—
618C4⋊C4×C43—21no—
619C4⋊C4×C43C2×D411yescharacteristic
620C4⋊C4×C43C2×D411yescharacteristic
621C4⋊C4×C43C2411yescharacteristic
622C4⋊C4×C43C2411yescharacteristic
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—
630C22⋊C4×C43—21no—
631C22⋊C4×C43C2×D411yescharacteristic
632C22⋊C4×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⋊Dic43—21no—
643C22⋊Dic43—21no—
644C22⋊Dic43—21no—
645C22⋊Dic43—21no—
646C22⋊Dic43C2×D411yescharacteristic
647C22⋊Dic43C2×D411yescharacteristic
648#10621885—41no—
649#10621885—41no—
650#10621885—41no—
651#10621884—41no—
652#10621884—41no—
653#10621884—41no—
654#10621883—41no—
655#10621883—41no—
656#10621883—41no—
657#10621883—41no—
658#10621883—41no—
659#10621883—41no—
660#10621883—41no—
661#10621882—41no—
662#10621882—41no—
663#10621882—41no—
664(C2×D43)⋊C4—21no—
665(C2×D43)⋊C4—21no—
666(C2×D43)⋊C4—21no—
667(C2×D43)⋊C4—21no—
668(C2×D43)⋊C4—21no—
669(C2×D43)⋊C4—21no—
670(C2×D43)⋊C4—21no—
671(C2×D43)⋊C4—21no—
672(C2×D43)⋊C4—21no—
673(C2×D43)⋊C4—21no—
674(C2×D43)⋊C4—21no—
675(C2×D43)⋊C4—21no—
676(C2×D43)⋊C4—21no—
677(C2×D43)⋊C4—21no—
678(C2×D43)⋊C4—21no—
679(C2×D43)⋊C4—21no—
680(C2×D43)⋊C4C2×D411yescharacteristic
681(C2×D43)⋊C4C2×D411yescharacteristic
682(C2×D43)⋊C4C2×D411yescharacteristic
683(C2×D43)⋊C4C2×D411yescharacteristic
684C4⋊Dic43—21no—
685C4⋊Dic43—21no—
686C4⋊Dic43—21no—
687C4⋊Dic43—21no—
688C4⋊Dic43—21no—
689C4⋊Dic43—21no—
690C4⋊Dic43—21no—
691C4⋊Dic43C2×D411yescharacteristic
692C4⋊Dic43C2×D411yescharacteristic
693C4⋊Dic43C2411yescharacteristic
694C4⋊Dic43C2411yescharacteristic
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⋊C4—21no—
707Dic43⋊C4—21no—
708Dic43⋊C4—21no—
709Dic43⋊C4C2×D411yescharacteristic
710Dic43⋊C4C2×D411yescharacteristic
711Dic43⋊C4C2×D411yescharacteristic
712Dic43⋊C4C2×D411yescharacteristic
713C4×Dic43—21no—
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
726Dic172—41no—
727Dic172—41no—
728Dic172—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—22no—
743C22×D43—22no—
744C22×D43—21no—
745C22×D43—21no—
746C22×D43—41no—
747C22×D43—42no—
748C22×D43—42no—
749C22×D43—42no—
750C22×D43—42no—
751C22×D43—81no—
752C22×D43—81no—
753C22×D43C22×D411yescharacteristic
754C22×D43C22×D411yescharacteristic
755Q8×C43—21no—
756Q8×C43—21no—
757Q8×C43—21no—
758Q8×C43—21no—
759Q8×C43—21no—
760Q8×C43—21no—
761Q8×C43—42no—
762D4×C43—21no—
763D4×C43—21no—
764D4×C43—21no—
765D4×C43—21no—
766D4×C43—21no—
767D4×C43—21no—
768D4×C43—42no—
769D4×C43—81no—
770D4×C43—81no—
771D4×C43—81no—
772D4×C43—81no—
773C2×C4×C43—21no—
774C2×C4×C43—21no—
775C2×C4×C43—21no—
776C2×C4×C43—21no—
777C2×C4×C43—21no—
778C2×C4×C43—21no—
779C2×C4×C43—21no—
780C2×C4×C43—42no—
781C2×C4×C43—42no—
782C2×C4×C43—81no—
783C2×C4×C43—81no—
784C2×C4×C43C22×D411yescharacteristic
785C2×C4×C43C22×D411yescharacteristic
786C2×C4×C43C22×D411yescharacteristic
787C2×C4×C43C22×D411yescharacteristic
788C2×C4×C43C22×D411yescharacteristic
789C2×C4×C43C2511yescharacteristic
790C22⋊D43—42no—
791C22⋊D43—42no—
792C22⋊D43—42no—
793C22⋊D43—42no—
794C22⋊D43—42no—
795C22⋊D43—42no—
796C22⋊D43—42no—
797C22⋊D43—81no—
798C22⋊D43—81no—
799C22⋊D43—81no—
800C2×Dic43—22no—
801C2×Dic43—21no—
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×Dic43—81no—
812C2×Dic43C22×D411yescharacteristic
813C2×Dic43C22×D411yescharacteristic
814C2×Dic43C22×D411yescharacteristic
815C2×Dic43C22×D411yescharacteristic
816C2×Dic43C22×D411yescharacteristic
817C2×Dic43C22×D411yescharacteristic
818D172—21no—
819D172—21no—
820D172—21no—
821D172—21no—
822D172—42no—
823D172—42no—
824C4×D43—22no—
825C4×D43—22no—
826C4×D43—22no—
827C4×D43—21no—
828C4×D43—21no—
829C4×D43—22no—
830C4×D43—41no—
831C4×D43—41no—
832C4×D43—42no—
833C4×D43—42no—
834C4×D43—42no—
835C4×D43—42no—
836C4×D43—42no—
837C4×D43—42no—
838C4×D43—42no—
839C4×D43—81no—
840C4×D43—81no—
841C4×D43—81no—
842C4×D43H(5,𝔽2)12yes—
843C4×D43H(5,𝔽2)12yes—
844Dic86—21no—
845Dic86—21no—
846Dic86—21no—
847Dic86—21no—
848Dic86—21no—
849Dic86—21no—
850Dic86—21no—
851Dic86—21no—
852Dic86—42no—
853Dic86—42no—
854Dic86—42no—
855Dic86—42no—
856Dic86—42no—
857Dic86—42no—
858Dic86—81no—
859Dic86—81no—
860C8×C43—21no—
861C8×C43—21no—
862C8×C43—21no—
863C8×C43—21no—
864C43⋊C8—21no—
865C43⋊C8—21no—
866C43⋊C8—21no—
867C43⋊C8—21no—
868#60813—431nomaximal, Sylow
869C22×C43—21no—
870C22×C43—21no—
871C22×C43—21no—
872C22×C43—41no—
873C22×C43—41no—
874C22×C43—41no—
875C22×C43—41no—
876C22×C43—41no—
877C22×C43—41no—
878C22×C43—41no—
879C22×C43—41no—
880C22×C43—41no—
881C22×C43C23×D411yescharacteristic
882C2×D43—21no—
883C2×D43—21no—
884C2×D43—21no—
885C2×D43—21no—
886C2×D43—44no—
887C2×D43—41no—
888C2×D43—41no—
889C2×D43—41no—
890C2×D43—41no—
891C2×D43—41no—
892C2×D43—41no—
893C2×D43—84no—
894C2×D43—162no—
895C2×D43#53512yes—
896C2×D43#57712yes—
897C4×C43—21no—
898C4×C43—21no—
899C4×C43—21no—
900C4×C43—21no—
901C4×C43—21no—
902C4×C43—41no—
903C4×C43—41no—
904C4×C43—41no—
905C4×C43—41no—
906C4×C43—41no—
907C4×C43C2×H(5,𝔽2)11yescharacteristic
908C4×C43C2×H(5,𝔽2)11yescharacteristic
909Dic43—21no—
910Dic43—21no—
911Dic43—21no—
912Dic43—21no—
913Dic43—21no—
914Dic43—41no—
915Dic43—41no—
916Dic43—41no—
917Dic43—41no—
918Dic43—41no—
919Dic43—41no—
920Dic43#53512yes—
921#3494—431no—
922C2×#536—431no—
923#3225—431no—
924#3225—431no—
925#3225—431no—
926#3225—431no—
927#3221—431no—
928#3221—431no—
929#3221—431no—
930#3221D4311yescharacteristic, complemented
931#3218—431no—
932#3218—431no—
933#3213—431no—
934#3213—431no—
935#3211—431no—
936#3211—431no—
937#3206—431no—
938#3206—431no—
939#3154—431no—
940#3154—431no—
941#3137—431no—
942#3137—431no—
943#3046—431no—
944#3046—431no—
945#3042—431no—
946#3042—431no—
947#3006—431no—
948#3004—431no—
949#3002—431no—
950C2×#448—431no—
951#2924—431no—
952C2×C43—41no—
953C2×C43—81no—
954C2×C43—81no—
955C2×C43—81no—
956C2×C43C2×#53511yescharacteristic
957C2×C43C2×#57711yescharacteristic
958C2×C43#358611yescharacteristic
959D43—22no—
960D43—22no—
961D43—81no—
962D43—81no—
963C22×#41—431no—
964C23×Q8—431no—
965C2×#137—431no—
966C2×#137—431no—
967C2×AGL(1,ℤ/8)—431no—
968C2×AGL(1,ℤ/8)—431no—
969C2×#135—431no—
970C2×#135—431no—
971C22×SD16—431no—
972C22×SD16—431no—
973#555—861no—
974#553—861no—
975#553—861no—
976#551—861no—
977#551—861no—
978#547—861no—
979#546—861no—
980#546—861no—
981#544—431no—
982#542—431no—
983#542—431no—
984#540—431no—
985#540C2×D4311yescharacteristic, complemented
986#536—431no—
987#536—431no—
988#536—431no—
989#536—431no—
990#536—431no—
991#536—431no—
992#536—431no—
993#536—861no—
994#536—861no—
995#536—861no—
996#536—861no—
997#536C2×D4311yescharacteristic, complemented
998#535—431no—
999#532—431no—
1000#532—431no—
1001C2×C4⋊Q8—431no—
1002C2×C4⋊Q8—431no—
1003#529—431no—
1004#529—431no—
1005C2×#124—431no—
1006C2×#124—431no—
1007#525—431no—
1008C2×#123—861no—
1009C2×#123—861no—
1010C2×C22⋊Q8—861no—
1011C2×C22⋊Q8—861no—
1012C2×#121—431no—
1013#520—431no—
1014#518—431no—
1015C2×#117—431no—
1016#497—431no—
1017#497—431no—
1018#497—431no—
1019#497—431no—
1020#496—431no—
1021#496—431no—
1022#496—431no—
1023#496C2×D4311yescharacteristic, complemented
1024#495—431no—
1025#495—431no—
1026#495—431no—
1027#495—431no—
1028#492—431no—
1029#492—431no—
1030#492—431no—
1031#492C2×D4311yescharacteristic, complemented
1032#491—431no—
1033#491—431no—
1034#491—431no—
1035#491C2×D4311yescharacteristic, complemented
1036#489—431no—
1037#489—431no—
1038#489—431no—
1039#489—431no—
1040#488—431no—
1041#488—431no—
1042#488—431no—
1043#488C2×D4311yescharacteristic, complemented
1044#487—431no—
1045#487—431no—
1046#487—431no—
1047#487—431no—
1048#464—431no—
1049#464—431no—
1050#464—431no—
1051#464—431no—
1052#463—431no—
1053#463—431no—
1054#463—431no—
1055#463—431no—
1056#463—431no—
1057#463—431no—
1058#463—431no—
1059#463—431no—
1060#463—431no—
1061#463—431no—
1062#463C2×D4311yescharacteristic, complemented
1063#463C2×D4311yescharacteristic, complemented
1064#462—431no—
1065#462—431no—
1066#462—431no—
1067#462—431no—
1068#461—431no—
1069#461—431no—
1070#461—431no—
1071#461—431no—
1072#461—431no—
1073#461—431no—
1074#461—431no—
1075#461—431no—
1076#461—431no—
1077#461—431no—
1078#461C2×D4311yescharacteristic, complemented
1079#461C2×D4311yescharacteristic, complemented
1080#452—431no—
1081#452—431no—
1082#451—431no—
1083#451—431no—
1084#451—431no—
1085#451—431no—
1086#451—431no—
1087#450—431no—
1088#449—431no—
1089#449—431no—
1090#449—431no—
1091#449—431no—
1092#449C2×D4311yescharacteristic
1093#449C2×D4311yescharacteristic, complemented
1094#448—431no—
1095#448—431no—
1096#448—431no—
1097#448—431no—
1098#448—431no—
1099#448—431no—
1100#448—431no—
1101#448—431no—
1102#448—431no—
1103#448—431no—
1104#448—431no—
1105#448—431no—
1106#448—431no—
1107#448C2×D4311yescharacteristic, complemented
1108#448C2×D4311yescharacteristic, complemented
1109#447—431no—
1110#447—431no—
1111#447—431no—
1112#433—431no—
1113#433—431no—
1114#433—431no—
1115#433C2×D4311yescharacteristic, complemented
1116#432—431no—
1117#432—431no—
1118#431—431no—
1119#431—431no—
1120#424—431no—
1121#424—431no—
1122#419—431no—
1123#419—431no—
1124#417—431no—
1125#417—431no—
1126#416—431no—
1127#416—431no—
1128C2×#103—431no—
1129C2×#103—431no—
1130#407—431no—
1131C2×C22⋊C8—431no—
1132#405—431no—
1133#405—431no—
1134C43#6081311yescharacteristic, complemented, Sylow
1135C2×#41—431no—
1136C2×#41—431no—
1137C2×#41—431no—
1138C2×#41—431no—
1139C2×#41—861no—
1140C2×#41—861no—
1141C2×#41—861no—
1142C2×#41—861no—
1143C2×#41—1722no—
1144C2×#41—1722no—
1145C2×#41C22×D4311yescharacteristic
1146C22×Q8—431no—
1147C22×Q8—431no—
1148C22×Q8—431no—
1149C22×Q8—431no—
1150C22×Q8—431no—
1151C22×Q8—431no—
1152C22×Q8—861no—
1153C22×Q8—861no—
1154C22×Q8—861no—
1155C22×Q8—1722no—
1156C22×Q8—1722no—
1157C22×Q8C22×D4311yescharacteristic
1158C22×D4—431no—
1159C22×D4—431no—
1160C22×D4—861no—
1161C22×D4—861no—
1162C23×C4—431no—
1163C23×C4—861no—
1164C23×C4—861no—
1165#137—1722no—
1166#137—1722no—
1167AGL(1,ℤ/8)—1722no—
1168AGL(1,ℤ/8)—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×SD16—431no—
1178C2×SD16—431no—
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×SD16—1722no—
1192C2×SD16—1722no—
1193C2×SD16C22×D4311yescharacteristic
1194C2×SD16C22×D4311yescharacteristic
1195C2×SD16C22×D4311yescharacteristic
1196C2×SD16C22×D4311yescharacteristic
1197C2×SD16C22×D4311yescharacteristic
1198C2×SD16C22×D4311yescharacteristic
1199C2×D8—431no—
1200C2×D8—431no—
1201C2×D8—431no—
1202C2×D8—431no—
1203C2×D8C22×D4311yescharacteristic
1204C2×D8C22×D4311yescharacteristic
1205C2×M16—431no—
1206C2×M16—431no—
1207C22×C8—431no—
1208C22×C8—431no—
1209C4⋊Q8—431no—
1210C4⋊Q8—431no—
1211C4⋊Q8—431no—
1212C4⋊Q8—431no—
1213C4⋊Q8—431no—
1214C4⋊Q8—431no—
1215C4⋊Q8—431no—
1216C4⋊Q8—431no—
1217C4⋊Q8—861no—
1218C4⋊Q8—861no—
1219C4⋊Q8—861no—
1220C4⋊Q8—861no—
1221C4⋊Q8—861no—
1222C4⋊Q8C22×D4311yescharacteristic
1223C4⋊Q8C22×D4311yescharacteristic
1224#127—431no—
1225#127C22×D4311yescharacteristic
1226#126—861no—
1227#126—861no—
1228#126—861no—
1229#126—861no—
1230#125—431no—
1231#125—861no—
1232#125C22×D4311yescharacteristic
1233#124—431no—
1234#124—431no—
1235#124—431no—
1236#124—431no—
1237#124—431no—
1238#124—431no—
1239#124—431no—
1240#124—431no—
1241#124—861no—
1242#124—861no—
1243#124—861no—
1244#124—861no—
1245#124—861no—
1246#124—861no—
1247#124—861no—
1248#124—861no—
1249#124C22×D4311yescharacteristic
1250#124C22×D4311yescharacteristic
1251#123—21no—
1252#123—21no—
1253#123—21no—
1254#123—21no—
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—
1265#123—861no—
1266#123—861no—
1267#123—861no—
1268#123—861no—
1269#123—861no—
1270#123—861no—
1271#123—861no—
1272#123—861no—
1273#123—861no—
1274#123—861no—
1275#123—861no—
1276C22⋊Q8—21no—
1277C22⋊Q8—21no—
1278C22⋊Q8—431no—
1279C22⋊Q8—431no—
1280C22⋊Q8—861no—
1281C22⋊Q8—861no—
1282C22⋊Q8—861no—
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⋊Q8—861no—
1295C22⋊Q8—861no—
1296C22⋊Q8—861no—
1297C22⋊Q8—861no—
1298#121—21no—
1299#121—21no—
1300#121—431no—
1301#121—431no—
1302#121—431no—
1303#121—431no—
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#121C22×D4311yescharacteristic
1313#121C22×D4311yescharacteristic
1314#120—861no—
1315#120—861no—
1316#120—861no—
1317C4×Q8—431no—
1318C4×Q8—431no—
1319C4×D4—431no—
1320C4×D4—431no—
1321C4×D4—431no—
1322C4×D4—431no—
1323C4×D4—861no—
1324C4×D4—861no—
1325C4×D4—861no—
1326C4×D4—861no—
1327C4×D4—861no—
1328C4×D4—861no—
1329C4×D4—861no—
1330C4×D4—861no—
1331C4×D4—861no—
1332C4×D4—861no—
1333C4×D4C22×D4311yescharacteristic
1334C4×D4C22×D4311yescharacteristic
1335#117—431no—
1336#117—431no—
1337#117—431no—
1338#117—431no—
1339#117—431no—
1340#117—431no—
1341#117—431no—
1342#117—431no—
1343#117—861no—
1344#117—861no—
1345#117—861no—
1346#117C22×D4311yescharacteristic
1347C2×C4⋊C4—431no—
1348C2×C4⋊C4—431no—
1349C2×C4⋊C4—431no—
1350C2×C4⋊C4—861no—
1351C2×C4⋊C4—861no—
1352C2×C4⋊C4—861no—
1353C2×C4⋊C4—861no—
1354C2×C4⋊C4—861no—
1355C2×C22⋊C4—431no—
1356C2×C22⋊C4—431no—
1357C2×C22⋊C4—861no—
1358C2×C22⋊C4—861no—
1359C2×C22⋊C4—861no—
1360C2×C22⋊C4—861no—
1361C2×C22⋊C4—861no—
1362C2×C22⋊C4—861no—
1363C2×C22⋊C4—861no—
1364C2×C42—431no—
1365C2×C42—431no—
1366C4⋊C8—431no—
1367C4⋊C8—431no—
1368C4⋊C8—431no—
1369C4⋊C8—431no—
1370C4⋊C8—431no—
1371C4⋊C8—431no—
1372C4⋊C8C22×D4311yescharacteristic
1373C4⋊C8C22×D4311yescharacteristic
1374#103—431no—
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#103—431no—
1388#103—431no—
1389#103—431no—
1390#103—431no—
1391#103—431no—
1392#103C22×D4311yescharacteristic
1393#103C22×D4311yescharacteristic
1394#103C22×D4311yescharacteristic
1395#103C22×D4311yescharacteristic
1396#103C22×D4311yescharacteristic
1397#103C22×D4311yescharacteristic
1398#102—431no—
1399#102—431no—
1400#102—431no—
1401#102—431no—
1402#102—431no—
1403#102—431no—
1404#102C22×D4311yescharacteristic
1405#102C22×D4311yescharacteristic
1406C22⋊C8—431no—
1407C22⋊C8—431no—
1408C22⋊C8—431no—
1409C22⋊C8—431no—
1410C22⋊C8—431no—
1411C22⋊C8—431no—
1412C22⋊C8C22×D4311yescharacteristic
1413C22⋊C8C22×D4311yescharacteristic
1414#97—431no—
1415#97—431no—
1416#97—431no—
1417#97C22×D4311yescharacteristic
1418C4×C8—431no—
1419C4×C8—431no—
1420C4×C8—431no—
1421C4×C8C22×D4311yescharacteristic
1422C24—431no—
1423C24—861no—
1424C24—861no—
1425#41—41no—
1426#41—41no—
1427#41—862no—
1428#41—862no—
1429#41—862no—
1430#41—862no—
1431#41—862no—
1432#41—862no—
1433#41—3442no—
1434#41—3442no—
1435#41—1721no—
1436#41—1721no—
1437#41—1724no—
1438#41—1724no—
1439C2×Q8—21no—
1440C2×Q8—41no—
1441C2×Q8—41no—
1442C2×Q8—431no—
1443C2×Q8—431no—
1444C2×Q8—431no—
1445C2×Q8—431no—
1446C2×Q8—861no—
1447C2×Q8—861no—
1448C2×Q8—861no—
1449C2×Q8—861no—
1450C2×Q8—861no—
1451C2×Q8—861no—
1452C2×Q8—862no—
1453C2×Q8—862no—
1454C2×Q8—862no—
1455C2×Q8—862no—
1456C2×Q8—861no—
1457C2×Q8—861no—
1458C2×Q8—1721no—
1459C2×Q8—1721no—
1460C2×Q8—1724no—
1461C2×Q8—1721no—
1462C2×Q8—1721no—
1463C2×Q8—1721no—
1464C2×Q8—1721no—
1465C2×Q8—1721no—
1466C2×Q8—1721no—
1467C2×Q8—1724no—
1468C2×Q8—1724no—
1469C2×Q8C23×D4311yescharacteristic
1470C2×Q8C23×D4311yescharacteristic
1471C2×Q8C23×D4311yescharacteristic
1472C2×D4—21no—
1473C2×D4—21no—
1474C2×D4—21no—
1475C2×D4—21no—
1476C2×D4—21no—
1477C2×D4—431no—
1478C2×D4—431no—
1479C2×D4—861no—
1480C2×D4—861no—
1481C2×D4—862no—
1482C2×D4—862no—
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—3442no—
1494C2×D4—1721no—
1495C2×D4—1721no—
1496C2×D4—1724no—
1497C2×D4C23×D4311yescharacteristic
1498C2×D4C23×D4311yescharacteristic
1499C2×D4C23×D4311yescharacteristic
1500C22×C4—21no—
1501C22×C4—21no—
1502C22×C4—21no—
1503C22×C4—21no—
1504C22×C4—431no—
1505C22×C4—431no—
1506C22×C4—431no—
1507C22×C4—431no—
1508C22×C4—431no—
1509C22×C4—431no—
1510C22×C4—431no—
1511C22×C4—431no—
1512C22×C4—431no—
1513C22×C4—862no—
1514C22×C4—862no—
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×C4—861no—
1530C22×C4—1724no—
1531C22×C4—1724no—
1532C22×C4C23×D4311yescharacteristic
1533Q16—1721no—
1534Q16—1721no—
1535Q16—1721no—
1536Q16—1721no—
1537Q16—1721no—
1538Q16—1721no—
1539SD16—41no—
1540SD16—41no—
1541SD16—41no—
1542SD16—41no—
1543SD16—41no—
1544SD16—41no—
1545SD16—1721no—
1546SD16—1721no—
1547SD16—1721no—
1548SD16—1721no—
1549SD16—1721no—
1550SD16—1721no—
1551SD16—1721no—
1552SD16—1721no—
1553SD16—1721no—
1554SD16—1721no—
1555SD16—1721no—
1556SD16—1721no—
1557SD16—1721no—
1558SD16—1721no—
1559D8—41no—
1560D8—41no—
1561D8—1721no—
1562D8—1721no—
1563D8—1721no—
1564D8—1721no—
1565M16—862no—
1566M16—862no—
1567C2×C8—431no—
1568C2×C8—431no—
1569C2×C8—431no—
1570C2×C8—431no—
1571C2×C8—862no—
1572C2×C8—862no—
1573C2×C8C23×D4311yescharacteristic
1574C2×C8C23×D4311yescharacteristic
1575C2×C8C23×D4311yescharacteristic
1576C2×C8C23×D4311yescharacteristic
1577C4⋊C4—21no—
1578C4⋊C4—21no—
1579C4⋊C4—21no—
1580C4⋊C4—21no—
1581C4⋊C4—21no—
1582C4⋊C4—21no—
1583C4⋊C4—431no—
1584C4⋊C4—431no—
1585C4⋊C4—431no—
1586C4⋊C4—431no—
1587C4⋊C4—431no—
1588C4⋊C4—431no—
1589C4⋊C4—431no—
1590C4⋊C4—431no—
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⋊C4—861no—
1611C4⋊C4—861no—
1612C4⋊C4D4×D4311yescharacteristic
1613C4⋊C4D4×D4311yescharacteristic
1614C4⋊C4C23×D4311yescharacteristic
1615C4⋊C4C23×D4311yescharacteristic
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—431no—
1625C22⋊C4—431no—
1626C22⋊C4—431no—
1627C22⋊C4—431no—
1628C22⋊C4—431no—
1629C22⋊C4—431no—
1630C22⋊C4—861no—
1631C22⋊C4—861no—
1632C22⋊C4—861no—
1633C22⋊C4—861no—
1634C22⋊C4—861no—
1635C22⋊C4—861no—
1636C22⋊C4—861no—
1637C22⋊C4—861no—
1638C22⋊C4—861no—
1639C22⋊C4—861no—
1640C22⋊C4—861no—
1641C22⋊C4—861no—
1642C22⋊C4—861no—
1643C22⋊C4—861no—
1644C22⋊C4—861no—
1645C22⋊C4—861no—
1646C22⋊C4—861no—
1647C22⋊C4—861no—
1648C22⋊C4—861no—
1649C22⋊C4—861no—
1650C22⋊C4—861no—
1651C22⋊C4—861no—
1652C22⋊C4—861no—
1653C22⋊C4—861no—
1654C22⋊C4—861no—
1655C22⋊C4—861no—
1656C22⋊C4—861no—
1657C22⋊C4D4×D4311yescharacteristic
1658C22⋊C4D4×D4311yescharacteristic
1659C42—431no—
1660C42—431no—
1661C42—431no—
1662C42—431no—
1663C42—431no—
1664C42—431no—
1665C42—861no—
1666C42—861no—
1667C42—861no—
1668C42C23×D4311yescharacteristic
1669C42C23×D4311yescharacteristic
1670C23—21no—
1671C23—21no—
1672C23—21no—
1673C23—431no—
1674C23—431no—
1675C23—862no—
1676C23—862no—
1677C23—861no—
1678C23—861no—
1679C23—3441no—
1680C23—3441no—
1681C23—1721no—
1682C23—1722no—
1683C23—1722no—
1684C23—1722no—
1685C23—1722no—
1686C23C2×D4×D4311yescharacteristic
1687Q8—21no—
1688Q8—21no—
1689Q8—21no—
1690Q8—21no—
1691Q8—21no—
1692Q8—21no—
1693Q8—42no—
1694Q8—861no—
1695Q8—861no—
1696Q8—861no—
1697Q8—861no—
1698Q8—861no—
1699Q8—861no—
1700Q8—861no—
1701Q8—861no—
1702Q8—3441no—
1703Q8—3441no—
1704Q8—1722no—
1705Q8—1722no—
1706Q8—1722no—
1707Q8—1722no—
1708Q8—1722no—
1709Q8—1722no—
1710D4—21no—
1711D4—21no—
1712D4—21no—
1713D4—21no—
1714D4—21no—
1715D4—21no—
1716D4—42no—
1717D4—81no—
1718D4—81no—
1719D4—81no—
1720D4—81no—
1721D4—861no—
1722D4—861no—
1723D4—861no—
1724D4—861no—
1725D4—3441no—
1726D4—3441no—
1727D4—3441no—
1728D4—1722no—
1729D4—1722no—
1730D4—1722no—
1731D4—1722no—
1732D4—1722no—
1733D4—1722no—
1734D4—1722no—
1735D4—1722no—
1736D4—1722no—
1737C2×C4—21no—
1738C2×C4—21no—
1739C2×C4—21no—
1740C2×C4—21no—
1741C2×C4—21no—
1742C2×C4—21no—
1743C2×C4—21no—
1744C2×C4—42no—
1745C2×C4—42no—
1746C2×C4—81no—
1747C2×C4—81no—
1748C2×C4—431no—
1749C2×C4—432no—
1750C2×C4—432no—
1751C2×C4—431no—
1752C2×C4—431no—
1753C2×C4—431no—
1754C2×C4—431no—
1755C2×C4—431no—
1756C2×C4—862no—
1757C2×C4—862no—
1758C2×C4—862no—
1759C2×C4—862no—
1760C2×C4—862no—
1761C2×C4—861no—
1762C2×C4—861no—
1763C2×C4—861no—
1764C2×C4—861no—
1765C2×C4—861no—
1766C2×C4—861no—
1767C2×C4—861no—
1768C2×C4—861no—
1769C2×C4—3441no—
1770C2×C4—3441no—
1771C2×C4—3441no—
1772C2×C4—3441no—
1773C2×C4—3441no—
1774C2×C4—1721no—
1775C2×C4—1721no—
1776C2×C4—1722no—
1777C2×C4—1722no—
1778C2×C4—1722no—
1779C2×C4—1722no—
1780C2×C4—1722no—
1781C2×C4—1722no—
1782C2×C4—1722no—
1783C2×C4—1722no—
1784C2×C4—1722no—
1785C2×C4—1722no—
1786C2×C4C2×D4×D4311yescharacteristic
1787C2×C4C2×D4×D4311yescharacteristic
1788C2×C4C2×D4×D4311yescharacteristic
1789C2×C4C2×D4×D4311yescharacteristic
1790C2×C4C2×D4×D4311yescharacteristic
1791C2×C4C24×D4311yescharacteristic
1792C8—21no—
1793C8—21no—
1794C8—21no—
1795C8—21no—
1796C8—861no—
1797C8—861no—
1798C8—861no—
1799C8—861no—
1800C22—21no—
1801C22—21no—
1802C22—21no—
1803C22—41no—
1804C22—41no—
1805C22—41no—
1806C22—41no—
1807C22—41no—
1808C22—41no—
1809C22—41no—
1810C22—41no—
1811C22—41no—
1812C22—432no—
1813C22—432no—
1814C22—861no—
1815C22—861no—
1816C22—861no—
1817C22—861no—
1818C22—3444no—
1819C22—1724no—
1820C22—1721no—
1821C22—1721no—
1822C22—1721no—
1823C22—1721no—
1824C22—1721no—
1825C22—1721no—
1826C22—6882no—
1827C22C22×D4×D4311yescharacteristic
1828C4—21no—
1829C4—21no—
1830C4—21no—
1831C4—21no—
1832C4—21no—
1833C4—41no—
1834C4—41no—
1835C4—41no—
1836C4—41no—
1837C4—41no—
1838C4—432no—
1839C4—861no—
1840C4—861no—
1841C4—861no—
1842C4—861no—
1843C4—861no—
1844C4—1721no—
1845C4—1721no—
1846C4—1721no—
1847C4—1721no—
1848C4—1721no—
1849C4—1721no—
1850C4H(5,𝔽2)×D4311yescharacteristic
1851C4H(5,𝔽2)×D4311yescharacteristic
1852C2—41no—
1853C2—81no—
1854C2—81no—
1855C2—81no—
1856C2—862no—
1857C2—862no—
1858C2—3441no—
1859C2—3441no—
1860C2#535×D4311yescharacteristic
1861C2#577×D4311yescharacteristic
1862C2#1914937711yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3221C2
socleC22×C43C23×D4
hypercenter#3221D43
hypocenterC43#60813
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ #117 ◁ #3221

Complements

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

NH ≅ G/Ntype
1. #19148322C2semidirect
2. #536×D43C2semidirect
3. #19145706C2semidirect
4. #19145704C2semidirect
5. #19145702C2semidirect
6. #19145700C2semidirect
7. #19145654C2semidirect
8. #19145652C2semidirect
9. #19145650C2semidirect
10. #19145623C2semidirect
11. #19145621C2semidirect
12. #19145580C2semidirect
13. #19145577C2semidirect
14. #19145561C2semidirect
15. #19145558C2semidirect
16. #19145519C2semidirect
17. #19145516C2semidirect
18. #19145068C2semidirect
19. #19145064C2semidirect
20. #19144961C2semidirect
21. #19144959C2semidirect
22. #19144146C2semidirect
23. #19144140C2semidirect
24. #19144105C2semidirect
25. #19144102C2semidirect
26. #19143844C2semidirect
27. #19143826C2semidirect
28. #19143810C2semidirect
29. #448×D43C2semidirect
30. #19143251C2semidirect
31. C43×#3221C2semidirect
34. C2×#13063354C22semidirect
35. C2×#13063354C22semidirect
40. C2×SD16×D43C22semidirect
41. C2×SD16×D43C22semidirect
50. #14583529C22semidirect
51. #14583520C22semidirect
52. #14583516C22semidirect
53. #14583502C22semidirect
54. #14583475C22semidirect
57. #14583473C22semidirect
62. #14583470C22semidirect
65. #14583462C22semidirect
68. C4⋊Q8×D43C22semidirect
69. C4⋊Q8×D43C22semidirect
72. #124×D43C22semidirect
73. #124×D43C22semidirect
80. #14583378C22semidirect
81. #14583371C22semidirect
83. #14583293C22semidirect
84. #14583291C22semidirect
85. #14583290C22semidirect
86. #14583290C22semidirect
87. #14583287C22semidirect
88. #14583286C22semidirect
89. #14583285C22semidirect
90. #14583283C22semidirect
91. #14583282C22semidirect
92. #14583281C22semidirect
93. #14583280C22semidirect
94. #14583271C22semidirect
95. #14583270C22semidirect
96. #14583270C22semidirect
97. #14583269C22semidirect
98. #14583266C22semidirect
99. #14583266C22semidirect
100. #14583260C22semidirect
101. #14583259C22semidirect
102. #14583258C22semidirect
103. #14583257C22semidirect
104. #14583256C22semidirect
105. #14583255C22semidirect
106. #14583252C22semidirect
107. #14583250C22semidirect
108. #14583249C22semidirect
109. #14583248C22semidirect
110. #14583248C22semidirect
111. #14583124C22semidirect
112. #14583122C22semidirect
113. #14583120C22semidirect
114. #14583118C22semidirect
115. #14583117C22semidirect
116. #14583116C22semidirect
117. #14583116C22semidirect
118. #14583115C22semidirect
119. #14583114C22semidirect
120. #14583114C22semidirect
121. #14583113C22semidirect
122. #14583112C22semidirect
123. #14583112C22semidirect
124. #14583111C22semidirect
125. #14583110C22semidirect
126. #14583108C22semidirect
127. #14583108C22semidirect
128. #14583106C22semidirect
129. #14583105C22semidirect
130. #14583104C22semidirect
131. #14583104C22semidirect
132. #14583103C22semidirect
133. #14583103C22semidirect
134. #14583102C22semidirect
135. #14583102C22semidirect
136. #14583102C22semidirect
137. #14583102C22semidirect
138. #14583101C22semidirect
139. #14583063C22semidirect
140. #14583061C22semidirect
141. #14583057C22semidirect
142. #14583056C22semidirect
143. #14583056C22semidirect
144. #14583056C22semidirect
145. #14583055C22semidirect
146. #14583051C22semidirect
150. #14583042C22semidirect
151. #14583040C22semidirect
155. #14583038C22semidirect
156. #14583037C22semidirect
157. #14583037C22semidirect
161. #14583036C22semidirect
162. #14583036C22semidirect
163. #14583036C22semidirect
166. #14583031C22semidirect
167. #14582960C22semidirect
168. #14582957C22semidirect
169. #14582957C22semidirect
170. #14582955C22semidirect
171. #14582954C22semidirect
172. #14582951C22semidirect
173. #14582950C22semidirect
174. #14582924C22semidirect
175. #14582924C22semidirect
176. #14582906C22semidirect
177. #14582906C22semidirect
182. #103×D43C22semidirect
183. #103×D43C22semidirect
186. #14582856C22semidirect
187. #14582853C22semidirect
188. C43×#540C22semidirect
189. C43×#536C22semidirect
190. C43×#496C22semidirect
191. C43×#492C22semidirect
192. C43×#491C22semidirect
193. C43×#488C22semidirect
194. C43×#463C22semidirect
195. C43×#463C22semidirect
196. C43×#461C22semidirect
197. C43×#461C22semidirect
199. C43×#449C22semidirect
200. C43×#448C22semidirect
201. C43×#448C22semidirect
202. C43×#433C22semidirect
930. #3221D43semidirect
985. #540C2×D43semidirect
997. #536C2×D43semidirect
1023. #496C2×D43semidirect
1031. #492C2×D43semidirect
1035. #491C2×D43semidirect
1043. #488C2×D43semidirect
1062. #463C2×D43semidirect
1063. #463C2×D43semidirect
1078. #461C2×D43semidirect
1079. #461C2×D43semidirect
1093. #449C2×D43semidirect
1107. #448C2×D43semidirect
1108. #448C2×D43semidirect
1115. #433C2×D43semidirect
1134. C43#60813semidirect

Maximal subgroups

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

subgroupindex
#191483222
#536×D432
#191457062
#191457042
#191457022
#191457002
#191456542
#191456522
#191456502
#191456232
#191456212
#191455802
#191455772
#191455612
#191455582
#191455192
#191455162
#191450682
#191450642
#191449612
#191449592
#191441462
#191441402
#191441052
#191441022
#191438442
#191438262
#191438102
#448×D432
#191432512
C43×#32212
#6081343