Finite Group Databasebeta

← #25968126

Subgroups — #25968126

Order 11008.

2030 conjugacy classes of subgroups.

The subgroup lattice has 1832 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19147982C211yesmaximal, characteristic, complemented
2#536×D43C211yesmaximal, characteristic, complemented
3#19145707C211yesmaximal, characteristic, complemented
4#19145706C211yesmaximal, characteristic, complemented
5#19145705C211yesmaximal, characteristic, complemented
6#19145704C211yesmaximal, characteristic, complemented
7#19145699C211yesmaximal, characteristic, complemented
8#19145698C211yesmaximal, characteristic, complemented
9#19145697C211yesmaximal, characteristic, complemented
10#19145677C211yesmaximal, characteristic, complemented
11#19145676C211yesmaximal, characteristic, complemented
12#19145675C211yesmaximal, characteristic, complemented
13#19145674C211yesmaximal, characteristic, complemented
14#19145655C211yesmaximal, characteristic, complemented
15#19145654C211yesmaximal, characteristic, complemented
16#19145653C211yesmaximal, characteristic, complemented
17#19145652C211yesmaximal, characteristic, complemented
18#19145056C211yesmaximal, characteristic, complemented
19#19145051C211yesmaximal, characteristic, complemented
20#19144980C211yesmaximal, characteristic, complemented
21#19144972C211yesmaximal, characteristic, complemented
22#19144086C211yesmaximal, characteristic, complemented
23#19144084C211yesmaximal, characteristic, complemented
24#19144079C211yesmaximal, characteristic, complemented
25#19144077C211yesmaximal, characteristic, complemented
26#19143838C211yesmaximal, characteristic, complemented
27#19143833C211yesmaximal, characteristic, complemented
28#19143830C211yesmaximal, characteristic, complemented
29#19143826C211yesmaximal, characteristic, complemented
30#19143229C211yesmaximal, characteristic, complemented
31C43×#3225C211yesmaximal, characteristic, complemented
32C2×#41×D43C2211yescharacteristic
33C22×Q8×D43C2211yescharacteristic
34C2×#13063357C2211yescharacteristic
35C2×#13063357C2211yescharacteristic
36C2×#13063357C2211yescharacteristic
37C2×#13063354C2211yescharacteristic
38C2×#13063354C2211yescharacteristic
39C2×#13063354C2211yescharacteristic
40C2×#13063352C2211yescharacteristic
41C2×#13063349C2211yescharacteristic
42#14583523C2211yescharacteristic, complemented
43#14583520C2211yescharacteristic, complemented
44#14583518C2211yescharacteristic, complemented
45#14583509C2211yescharacteristic, complemented
46#14583507C2211yescharacteristic, complemented
47#14583502C2211yescharacteristic, complemented
48#14583500C2211yescharacteristic, complemented
49#14583495—21no—
50#14583490—21no—
51#14583485—21no—
52#14583483—21no—
53#14583475C2211yescharacteristic
54#14583474C2211yescharacteristic
55#14583474C2211yescharacteristic
56#14583473C2211yescharacteristic
57#14583472—21no—
58#14583472—21no—
59#14583471—21no—
60#14583471—21no—
61#14583470C2211yescharacteristic
62#14583469C2211yescharacteristic
63#14583469C2211yescharacteristic
64#14583454C2211yescharacteristic
65#14583448C2211yescharacteristic
66C4⋊Q8×D43C2211yescharacteristic
67C4⋊Q8×D43C2211yescharacteristic
68#14583435—21no—
69#14583432—21no—
70#14583428—21no—
71#14583426—21no—
72#124×D43C2211yescharacteristic
73#124×D43C2211yescharacteristic
74#14583412C2211yescharacteristic
75#14583409C2211yescharacteristic
76#123×D43—21no—
77#123×D43—21no—
78C22⋊Q8×D43—21no—
79C22⋊Q8×D43—21no—
80C4×#10621902C2211yescharacteristic
81C4×#10621900C2211yescharacteristic
82#117×D43C2211yescharacteristic
83#14583294C2211yescharacteristic, complemented
84#14583293C2211yescharacteristic, complemented
85#14583292C2211yescharacteristic, complemented
86#14583291C2211yescharacteristic, complemented
87#14583290C2211yescharacteristic, complemented
88#14583287C2211yescharacteristic, complemented
89#14583285C2211yescharacteristic, complemented
90#14583283C2211yescharacteristic, complemented
91#14583281C2211yescharacteristic, complemented
92#14583281C2211yescharacteristic, complemented
93#14583277C2211yescharacteristic, complemented
94#14583277C2211yescharacteristic, complemented
95#14583270C2211yescharacteristic, complemented
96#14583270C2211yescharacteristic, complemented
97#14583266C2211yescharacteristic, complemented
98#14583266C2211yescharacteristic, complemented
99#14583266C2211yescharacteristic, complemented
100#14583266C2211yescharacteristic, complemented
101#14583261C2211yescharacteristic, complemented
102#14583259C2211yescharacteristic, complemented
103#14583258C2211yescharacteristic, complemented
104#14583255C2211yescharacteristic, complemented
105#14583255C2211yescharacteristic, complemented
106#14583252C2211yescharacteristic, complemented
107#14583252C2211yescharacteristic, complemented
108#14583251C2211yescharacteristic, complemented
109#14583250C2211yescharacteristic, complemented
110#14583249C2211yescharacteristic, complemented
111#14583124C2211yescharacteristic, complemented
112#14583123C2211yescharacteristic, complemented
113#14583122C2211yescharacteristic, complemented
114#14583121C2211yescharacteristic, complemented
115#14583120C2211yescharacteristic, complemented
116#14583119C2211yescharacteristic, complemented
117#14583118C2211yescharacteristic, complemented
118#14583117C2211yescharacteristic, complemented
119#14583116C2211yescharacteristic, complemented
120#14583115C2211yescharacteristic, complemented
121#14583114C2211yescharacteristic, complemented
122#14583113C2211yescharacteristic, complemented
123#14583112C2211yescharacteristic, complemented
124#14583111C2211yescharacteristic, complemented
125#14583110C2211yescharacteristic, complemented
126#14583109C2211yescharacteristic, complemented
127#14583108C2211yescharacteristic, complemented
128#14583108C2211yescharacteristic, complemented
129#14583107C2211yescharacteristic, complemented
130#14583107C2211yescharacteristic, complemented
131#14583106C2211yescharacteristic, complemented
132#14583105C2211yescharacteristic, complemented
133#14583104C2211yescharacteristic, complemented
134#14583103C2211yescharacteristic, complemented
135#14583103C2211yescharacteristic, complemented
136#14583102C2211yescharacteristic, complemented
137#14583102C2211yescharacteristic, complemented
138#14583101C2211yescharacteristic, complemented
139#14583064C2211yescharacteristic
140#14583063C2211yescharacteristic
141#14583062C2211yescharacteristic
142#14583061C2211yescharacteristic
143#14583060C2211yescharacteristic
144#14583059C2211yescharacteristic
145#14583058C2211yescharacteristic
146#14583057C2211yescharacteristic, complemented
147#14583056C2211yescharacteristic, complemented
148#14583056C2211yescharacteristic, complemented
149#14583055C2211yescharacteristic, complemented
150#14583054C2211yescharacteristic, complemented
151#14583053C2211yescharacteristic, complemented
152#14583053C2211yescharacteristic, complemented
153#14583047C2211yescharacteristic
154#14583046C2211yescharacteristic
155#14583045C2211yescharacteristic
156#14583044C2211yescharacteristic
157#14583043C2211yescharacteristic
158#14583042C2211yescharacteristic
159#14583041C2211yescharacteristic
160#14583040C2211yescharacteristic, complemented
161#14583039C2211yescharacteristic, complemented
162#14583039C2211yescharacteristic, complemented
163#14583038C2211yescharacteristic, complemented
164#14583037C2211yescharacteristic, complemented
165#14583036C2211yescharacteristic, complemented
166#14583036C2211yescharacteristic, complemented
167#14582961C2211yescharacteristic, complemented
168#14582960C2211yescharacteristic, complemented
169#14582959C2211yescharacteristic, complemented
170#14582959C2211yescharacteristic, complemented
171#14582958C2211yescharacteristic, complemented
172#14582957C2211yescharacteristic, complemented
173#14582957C2211yescharacteristic, complemented
174#14582921C2211yescharacteristic
175#14582921C2211yescharacteristic
176#14582906C2211yescharacteristic
177#14582906C2211yescharacteristic
178#14582906C2211yescharacteristic
179#14582906C2211yescharacteristic
180#14582906C2211yescharacteristic
181#14582906C2211yescharacteristic
182#14582902C2211yescharacteristic
183#14582902C2211yescharacteristic
184#14582861C2211yescharacteristic
185#14582861C2211yescharacteristic
186#14582851C2211yescharacteristic
187C4×#10621872C2211yescharacteristic
188C43×#542C2211yescharacteristic, complemented
189C43×#536C2211yescharacteristic
190C43×#497C2211yescharacteristic, complemented
191C43×#495C2211yescharacteristic, complemented
192C43×#489C2211yescharacteristic, complemented
193C43×#487C2211yescharacteristic, complemented
194C43×#464C2211yescharacteristic, complemented
195C43×#463C2211yescharacteristic, complemented
196C43×#462C2211yescharacteristic, complemented
197C43×#461C2211yescharacteristic, complemented
198C43×#452C2211yescharacteristic
199C43×#451C2211yescharacteristic, complemented
200C43×#449C2211yescharacteristic
201C43×#448C2211yescharacteristic, complemented
202C43×#433C2211yescharacteristic, complemented
203C2×#10621902C2311yescharacteristic
204C2×#10621902C2311yescharacteristic
205C2×#10621898—21no—
206C2×#10621898C2311yescharacteristic
207C2×#10621900—21no—
208C2×#10621900C2311yescharacteristic
209C2×#10621900C2311yescharacteristic
210#41×D43—42no—
211#41×D43—42no—
212C22×Dic86—21no—
213C22×Dic86C2311yescharacteristic
214C2×Q8×D43—21no—
215C2×Q8×D43—21no—
216C2×Q8×D43—42no—
217C2×Q8×D43—42no—
218C2×Q8×D43C2311yescharacteristic
219C2×Q8×D43C2311yescharacteristic
220C2×Q8×D43C2311yescharacteristic
221C2×Q8×D43C2311yescharacteristic
222C2×Q8×D43C2311yescharacteristic
223C2×D4×D43—21no—
224C2×D4×D43C2311yescharacteristic
225C22×C4×D43—21no—
226C22×C4×D43—21no—
227C22×C4×D43C2311yescharacteristic
228#13063357—42no—
229#13063357—42no—
230#13063357—42no—
231#13063354—42no—
232#13063354—42no—
233#13063354—42no—
234#13063352—42no—
235#13063349—42no—
236C2×Dic172C2311yescharacteristic
237C2×Dic172C2311yescharacteristic
238C2×Dic172C2311yescharacteristic
239C2×#10621885C2311yescharacteristic
240C2×#10621885C2311yescharacteristic
241C2×#10621885C2311yescharacteristic
242C2×#10621885C2311yescharacteristic
243C2×#10621885C2311yescharacteristic
244C2×#10621885C2311yescharacteristic
245C2×#10621873C2311yescharacteristic
246C2×#10621873C2311yescharacteristic
247C2×#10621873C2311yescharacteristic
248C2×#10621873C2311yescharacteristic
249C2×#10621883C2311yescharacteristic
250C2×#10621883C2311yescharacteristic
251C2×#10621883C2311yescharacteristic
252C2×#10621883C2311yescharacteristic
253C2×#10621884C2311yescharacteristic
254C2×#10621884C2311yescharacteristic
255C2×#10621884C2311yescharacteristic
256C2×#10621884C2311yescharacteristic
257C2×D344C2311yescharacteristic
258C2×#10621882C2311yescharacteristic
259C2×#10621882C2311yescharacteristic
260C2×#10621872C2311yescharacteristic
261C2×#10621872C2311yescharacteristic
262C2×#10621872C2311yescharacteristic
263C2×#10621872C2311yescharacteristic
264#13063325C2311yescharacteristic
265#13063325C2311yescharacteristic
266#13063325C2311yescharacteristic
267#13063324—21no—
268#13063324—21no—
269#13063324—21no—
270#13063324—21no—
271#13063323C2311yescharacteristic
272#13063323C2311yescharacteristic
273#13063323C2311yescharacteristic
274#13063323C2311yescharacteristic
275#13063323C2311yescharacteristic
276#13063321C2311yescharacteristic
277#13063320—21no—
278#13063320—21no—
279#13063320—21no—
280#13063319—21no—
281#13063318—21no—
282#13063318—21no—
283#13063318—21no—
284#13063317—21no—
285#13063316—21no—
286#13063316C2311yescharacteristic
287#13063316C2311yescharacteristic
288#13063315—21no—
289#13063315—21no—
290#13063314—21no—
291#13063314C2311yescharacteristic
292#13063314C2311yescharacteristic
293#13063313C2311yescharacteristic
294#13063313C2311yescharacteristic
295#13063313C2311yescharacteristic
296#13063312C2311yescharacteristic
297#13063312C2311yescharacteristic
298#13063311—21no—
299#13063311—21no—
300#13063311—21no—
301#13063311—21no—
302#13063311—21no—
303#13063311—21no—
304#13063310—21no—
305#13063310—21no—
306#13063310—21no—
307#13063310—21no—
308#13063310—21no—
309#13063310—21no—
310#13063309—21no—
311#13063309—21no—
312#13063309—21no—
313#13063309—21no—
314#13063308—21no—
315#13063308—21no—
316#13063308—21no—
317#13063307—21no—
318#13063307—21no—
319#13063307—21no—
320#13063307—21no—
321#13063307—21no—
322#13063307—21no—
323#13063307—21no—
324#13063307—21no—
325#13063306—21no—
326#13063306—21no—
327#13063305—21no—
328#13063305—21no—
329#13063305—21no—
330#13063305C2311yescharacteristic
331#13063304—21no—
332#13063304—21no—
333#13063304C2311yescharacteristic
334#13063303—21no—
335#13063303—21no—
336#13063303—21no—
337#13063303—21no—
338#13063303—21no—
339#13063302—21no—
340#13063302—21no—
341#13063302—21no—
342#13063302—21no—
343#13063302—21no—
344#13063301—21no—
345#13063301—21no—
346#13063301—21no—
347#13063301—21no—
348#13063301C2311yescharacteristic
349#13063300C2311yescharacteristic
350#13063299—21no—
351#13063299C2311yescharacteristic
352#13063298—21no—
353#13063298—21no—
354#13063298—21no—
355#13063297—21no—
356#13063296—21no—
357#13063296C2311yescharacteristic
358#13063295—21no—
359#13063293—21no—
360Q8×Dic43—21no—
361Q8×Dic43C2311yescharacteristic
362C4×Dic86C2311yescharacteristic
363#13063290—21no—
364#13063290C2311yescharacteristic
365C4×D172—21no—
366C4×D172C2311yescharacteristic
367D4×Dic43—21no—
368D4×Dic43C2311yescharacteristic
369#13063287—21no—
370#13063287—21no—
371#13063287C2311yescharacteristic
372C4×C22⋊D43—21no—
373(C22⋊D43)⋊C4—21no—
374(C22⋊D43)⋊C4—21no—
375(C22⋊D43)⋊C4—21no—
376(C22⋊D43)⋊C4—21no—
377(C22⋊D43)⋊C4—21no—
378#13063284C2311yescharacteristic
379#13063283—21no—
380#13063283D411yescharacteristic
381#13063283D411yescharacteristic
382#13063283C2311yescharacteristic
383#13063283C2311yescharacteristic
384#13063282C2311yescharacteristic
385#13063282C2311yescharacteristic
386#13063281—21no—
387#13063281D411yescharacteristic
388#13063281D411yescharacteristic
389C4⋊C4×D43—21no—
390C4⋊C4×D43—21no—
391C4⋊C4×D43—21no—
392C4⋊C4×D43—21no—
393C4⋊C4×D43D411yescharacteristic
394C4⋊C4×D43D411yescharacteristic
395C22⋊C4×D43—21no—
396C22⋊C4×D43—21no—
397C22⋊C4×D43—21no—
398C22⋊C4×D43—21no—
399C22⋊C4×D43D411yescharacteristic
400C22⋊C4×D43D411yescharacteristic
401C2×C4×Dic43—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#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×Q16×C43C2311yescharacteristic
450C2×Q16×C43C2311yescharacteristic
451C2×Q16×C43C2311yescharacteristic
452C2×SD16×C43C2311yescharacteristic
453C2×SD16×C43C2311yescharacteristic
454C2×SD16×C43C2311yescharacteristic
455C2×SD16×C43C2311yescharacteristic
456C2×D8×C43C2311yescharacteristic
457C4⋊Q8×C43C2311yescharacteristic
458C4⋊Q8×C43C2311yescharacteristic
459C4⋊Q8×C43C2311yescharacteristic
460#126×C43—21no—
461#124×C43—21no—
462#124×C43C2311yescharacteristic
463#124×C43C2311yescharacteristic
464#124×C43C2311yescharacteristic
465#123×C43—21no—
466#123×C43—21no—
467#123×C43—21no—
468C22⋊Q8×C43—21no—
469C22⋊Q8×C43—21no—
470C22⋊Q8×C43—21no—
471C22⋊Q8×C43C2311yescharacteristic
472#121×C43C2311yescharacteristic
473C4×Q8×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×D43C2×D411yescharacteristic
492#41×C43—41no—
493#41×C43—41no—
494C2×Q8×C43—21no—
495C2×Q8×C43—21no—
496C2×Q8×C43—41no—
497C2×Q8×C43—41no—
498C2×Q8×C43C2411yescharacteristic
499C2×Q8×C43C2411yescharacteristic
500C2×Q8×C43C2411yescharacteristic
501C2×Q8×C43C2411yescharacteristic
502C2×D4×C43—21no—
503C2×D4×C43—21no—
504C2×D4×C43C2411yescharacteristic
505C2×D4×C43C2411yescharacteristic
506C22×C4×C43—21no—
507C22×C4×C43—21no—
508C22×C4×C43—21no—
509C22×C4×C43C2411yescharacteristic
510C2×C22⋊D43—21no—
511C2×C22⋊D43—21no—
512C2×C22⋊D43—21no—
513C2×C22⋊D43—21no—
514C2×C22⋊D43—21no—
515C2×C22⋊D43—21no—
516C2×C22⋊D43—21no—
517C2×C22⋊D43—21no—
518C22×Dic43—21no—
519C22×Dic43—21no—
520C22×Dic43—21no—
521C22×Dic43—21no—
522C22×Dic43C2×D411yescharacteristic
523#10621902—22no—
524#10621902—22no—
525#10621902—41no—
526#10621902—41no—
527Q8×D43—22no—
528Q8×D43—22no—
529Q8×D43—22no—
530Q8×D43—22no—
531Q8×D43—22no—
532Q8×D43—22no—
533Q8×D43—41no—
534Q8×D43—41no—
535Q8×D43—41no—
536Q8×D43—41no—
537Q8×D43—44no—
538Q8×D43—44no—
539#10621900—22no—
540#10621900—22no—
541#10621900—41no—
542#10621900—41no—
543#10621900—44no—
544D4×D43—22no—
545D4×D43—22no—
546D4×D43—44no—
547#10621898—41no—
548#10621898—41no—
549#10621898—44no—
550C2×D172—21no—
551C2×D172—21no—
552C2×D172—21no—
553C2×D172C2411yescharacteristic
554C2×D172C2411yescharacteristic
555C2×C4×D43—22no—
556C2×C4×D43—22no—
557C2×C4×D43—21no—
558C2×C4×D43—21no—
559C2×C4×D43—21no—
560C2×C4×D43—21no—
561C2×C4×D43—21no—
562C2×C4×D43—21no—
563C2×C4×D43—21no—
564C2×C4×D43—21no—
565C2×C4×D43—21no—
566C2×C4×D43—21no—
567C2×C4×D43—44no—
568C2×C4×D43—44no—
569C2×C4×D43C2×D411yescharacteristic
570C2×C4×D43C2×D411yescharacteristic
571C2×C4×D43C2×D411yescharacteristic
572C2×C4×D43C2×D411yescharacteristic
573C2×C4×D43C2×D411yescharacteristic
574C2×C4×D43C2×D411yescharacteristic
575C2×C4×D43C2411yescharacteristic
576C2×C4×D43C2411yescharacteristic
577C2×Dic86—21no—
578C2×Dic86—21no—
579C2×Dic86—21no—
580C2×Dic86—21no—
581C2×Dic86—21no—
582C2×Dic86—21no—
583C2×Dic86—21no—
584C2×Dic86—41no—
585C2×Dic86—41no—
586C2×Dic86—44no—
587C2×Dic86C2411yescharacteristic
588C2×Dic86C2411yescharacteristic
589C2×Dic86C2411yescharacteristic
590C2×Dic86C2411yescharacteristic
591Q16×C43—41no—
592Q16×C43—41no—
593Q16×C43—41no—
594SD16×C43—41no—
595SD16×C43—41no—
596SD16×C43—41no—
597SD16×C43—41no—
598D8×C43—41no—
599C2×C8×C43C2411yescharacteristic
600C2×C8×C43C2411yescharacteristic
601C2×C8×C43C2411yescharacteristic
602C2×C8×C43C2411yescharacteristic
603C4⋊C4×C43—21no—
604C4⋊C4×C43—21no—
605C4⋊C4×C43—21no—
606C4⋊C4×C43—21no—
607C4⋊C4×C43—21no—
608C4⋊C4×C43—21no—
609C4⋊C4×C43—21no—
610C4⋊C4×C43C2×D411yescharacteristic
611C4⋊C4×C43C2×D411yescharacteristic
612C4⋊C4×C43C2411yescharacteristic
613C4⋊C4×C43C2411yescharacteristic
614C22⋊C4×C43—21no—
615C22⋊C4×C43—21no—
616C22⋊C4×C43—21no—
617C22⋊C4×C43—21no—
618C22⋊C4×C43—21no—
619C22⋊C4×C43—21no—
620C22⋊C4×C43—21no—
621C22⋊C4×C43—21no—
622C22⋊C4×C43—21no—
623C22⋊C4×C43C2×D411yescharacteristic
624C22⋊C4×C43C2×D411yescharacteristic
625C42×C43—21no—
626C42×C43C2411yescharacteristic
627C42×C43C2411yescharacteristic
628C22⋊Dic43—21no—
629C22⋊Dic43—21no—
630C22⋊Dic43—21no—
631C22⋊Dic43—21no—
632C22⋊Dic43—21no—
633C22⋊Dic43—21no—
634C22⋊Dic43—21no—
635C22⋊Dic43C2×D411yescharacteristic
636C22⋊Dic43C2×D411yescharacteristic
637#10621885—41no—
638#10621885—41no—
639#10621885—41no—
640#10621885—41no—
641#10621885—41no—
642#10621885—41no—
643#10621884—41no—
644#10621884—41no—
645#10621884—41no—
646#10621884—41no—
647#10621883—41no—
648#10621883—41no—
649#10621883—41no—
650#10621883—41no—
651#10621882—41no—
652#10621882—41no—
653(C2×D43)⋊C4—21no—
654(C2×D43)⋊C4—21no—
655(C2×D43)⋊C4—21no—
656(C2×D43)⋊C4—21no—
657(C2×D43)⋊C4—21no—
658(C2×D43)⋊C4—21no—
659(C2×D43)⋊C4—21no—
660(C2×D43)⋊C4—21no—
661(C2×D43)⋊C4—21no—
662(C2×D43)⋊C4—21no—
663(C2×D43)⋊C4—21no—
664(C2×D43)⋊C4—21no—
665(C2×D43)⋊C4—21no—
666(C2×D43)⋊C4—21no—
667(C2×D43)⋊C4—21no—
668(C2×D43)⋊C4—21no—
669(C2×D43)⋊C4—21no—
670(C2×D43)⋊C4—21no—
671(C2×D43)⋊C4C2×D411yescharacteristic
672(C2×D43)⋊C4C2×D411yescharacteristic
673(C2×D43)⋊C4C2×D411yescharacteristic
674(C2×D43)⋊C4C2×D411yescharacteristic
675C4⋊Dic43—21no—
676C4⋊Dic43—21no—
677C4⋊Dic43—21no—
678C4⋊Dic43—21no—
679C4⋊Dic43—21no—
680C4⋊Dic43—21no—
681C4⋊Dic43—21no—
682C4⋊Dic43—21no—
683C4⋊Dic43—21no—
684C4⋊Dic43C2×D411yescharacteristic
685C4⋊Dic43C2×D411yescharacteristic
686C4⋊Dic43C2411yescharacteristic
687C4⋊Dic43C2411yescharacteristic
688Dic43⋊C4—21no—
689Dic43⋊C4—21no—
690Dic43⋊C4—21no—
691Dic43⋊C4—21no—
692Dic43⋊C4—21no—
693Dic43⋊C4—21no—
694Dic43⋊C4—21no—
695Dic43⋊C4—21no—
696Dic43⋊C4—21no—
697Dic43⋊C4—21no—
698Dic43⋊C4—21no—
699Dic43⋊C4—21no—
700Dic43⋊C4—21no—
701Dic43⋊C4—21no—
702Dic43⋊C4—21no—
703Dic43⋊C4—21no—
704Dic43⋊C4C2×D411yescharacteristic
705Dic43⋊C4C2×D411yescharacteristic
706Dic43⋊C4C2×D411yescharacteristic
707Dic43⋊C4C2×D411yescharacteristic
708C4×Dic43—21no—
709C4×Dic43—21no—
710C4×Dic43—21no—
711C4×Dic43—21no—
712C4×Dic43—21no—
713C4×Dic43C2×D411yescharacteristic
714C4×Dic43C2×D411yescharacteristic
715C4×Dic43C2×D411yescharacteristic
716C4×Dic43C2×D411yescharacteristic
717C4×Dic43C2411yescharacteristic
718C4×Dic43C2411yescharacteristic
719C2×C43⋊C8C2411yescharacteristic
720C2×C43⋊C8C2411yescharacteristic
721C2×C43⋊C8C2411yescharacteristic
722C2×C43⋊C8C2411yescharacteristic
723Dic172—41no—
724Dic172—41no—
725Dic172—41no—
726D344—41no—
727#10621873—41no—
728#10621873—41no—
729#10621873—41no—
730#10621873—41no—
731#10621872—22no—
732#10621872—22no—
733#10621872—22no—
734#10621872—22no—
735C23×C43—21no—
736C23×C43—21no—
737C23×C43C22×D411yescharacteristic
738C22×D43—22no—
739C22×D43—21no—
740C22×D43—21no—
741C22×D43—41no—
742C22×D43—41no—
743C22×D43—42no—
744C22×D43—42no—
745C22×D43—42no—
746C22×D43C22×D411yescharacteristic
747C22×D43C22×D411yescharacteristic
748Q8×C43—21no—
749Q8×C43—21no—
750Q8×C43—21no—
751Q8×C43—21no—
752Q8×C43—21no—
753Q8×C43—21no—
754Q8×C43—21no—
755Q8×C43—21no—
756Q8×C43—42no—
757Q8×C43—81no—
758D4×C43—21no—
759D4×C43—21no—
760D4×C43—21no—
761D4×C43—21no—
762D4×C43—42no—
763D4×C43—81no—
764C2×C4×C43—21no—
765C2×C4×C43—21no—
766C2×C4×C43—21no—
767C2×C4×C43—21no—
768C2×C4×C43—21no—
769C2×C4×C43—21no—
770C2×C4×C43—21no—
771C2×C4×C43—21no—
772C2×C4×C43—42no—
773C2×C4×C43—42no—
774C2×C4×C43—81no—
775C2×C4×C43C22×D411yescharacteristic
776C2×C4×C43C22×D411yescharacteristic
777C2×C4×C43C22×D411yescharacteristic
778C2×C4×C43C22×D411yescharacteristic
779C2×C4×C43C22×D411yescharacteristic
780C2×C4×C43C2511yescharacteristic
781C22⋊D43—42no—
782C22⋊D43—42no—
783C22⋊D43—42no—
784C22⋊D43—42no—
785C22⋊D43—81no—
786C22⋊D43—81no—
787C22⋊D43—81no—
788C22⋊D43—81no—
789C2×Dic43—22no—
790C2×Dic43—21no—
791C2×Dic43—21no—
792C2×Dic43—21no—
793C2×Dic43—21no—
794C2×Dic43—21no—
795C2×Dic43—21no—
796C2×Dic43—42no—
797C2×Dic43—42no—
798C2×Dic43—42no—
799C2×Dic43—81no—
800C2×Dic43C22×D411yescharacteristic
801C2×Dic43C22×D411yescharacteristic
802C2×Dic43C22×D411yescharacteristic
803C2×Dic43C22×D411yescharacteristic
804C2×Dic43C22×D411yescharacteristic
805C2×Dic43C22×D411yescharacteristic
806D172—21no—
807D172—21no—
808D172—21no—
809D172—21no—
810D172—42no—
811D172—42no—
812D172—81no—
813C4×D43—22no—
814C4×D43—21no—
815C4×D43—21no—
816C4×D43—22no—
817C4×D43—41no—
818C4×D43—41no—
819C4×D43—41no—
820C4×D43—41no—
821C4×D43—42no—
822C4×D43—42no—
823C4×D43—42no—
824C4×D43—42no—
825C4×D43—42no—
826C4×D43—42no—
827C4×D43—42no—
828C4×D43—42no—
829C4×D43—81no—
830C4×D43—81no—
831C4×D43H(5,𝔽2)12yes—
832C4×D43H(5,𝔽2)12yes—
833Dic86—21no—
834Dic86—21no—
835Dic86—21no—
836Dic86—21no—
837Dic86—21no—
838Dic86—21no—
839Dic86—21no—
840Dic86—21no—
841Dic86—42no—
842Dic86—42no—
843Dic86—42no—
844Dic86—42no—
845Dic86—42no—
846Dic86—42no—
847Dic86—81no—
848C8×C43—21no—
849C8×C43—21no—
850C8×C43—21no—
851C8×C43—21no—
852C43⋊C8—21no—
853C43⋊C8—21no—
854C43⋊C8—21no—
855C43⋊C8—21no—
856#60807—431nomaximal, Sylow
857C22×C43—21no—
858C22×C43—21no—
859C22×C43—21no—
860C22×C43—41no—
861C22×C43—41no—
862C22×C43—41no—
863C22×C43—41no—
864C22×C43—41no—
865C22×C43—41no—
866C22×C43C23×D411yescharacteristic
867C2×D43—21no—
868C2×D43—21no—
869C2×D43—21no—
870C2×D43—21no—
871C2×D43—21no—
872C2×D43—44no—
873C2×D43—41no—
874C2×D43—41no—
875C2×D43—41no—
876C2×D43—41no—
877C2×D43—41no—
878C2×D43—41no—
879C2×D43—84no—
880C2×D43#53512yes—
881C4×C43—21no—
882C4×C43—21no—
883C4×C43—21no—
884C4×C43—21no—
885C4×C43—21no—
886C4×C43—41no—
887C4×C43—41no—
888C4×C43—41no—
889C4×C43—41no—
890C4×C43—41no—
891C4×C43—41no—
892C4×C43C2×H(5,𝔽2)11yescharacteristic
893C4×C43C2×H(5,𝔽2)11yescharacteristic
894Dic43—21no—
895Dic43—21no—
896Dic43—21no—
897Dic43—21no—
898Dic43—21no—
899Dic43—41no—
900Dic43—41no—
901Dic43—41no—
902Dic43—41no—
903Dic43—41no—
904Dic43—41no—
905Dic43#53512yes—
906#3455—431no—
907C2×#536—431no—
908#3225—431no—
909#3225—431no—
910#3225—431no—
911#3225—431no—
912#3225—431no—
913#3225—431no—
914#3225—431no—
915#3225D4311yescharacteristic, complemented
916#3223—431no—
917#3223—431no—
918#3223—431no—
919#3223—431no—
920#3221—431no—
921#3221—431no—
922#3221—431no—
923#3221—431no—
924#3153—431no—
925#3152—431no—
926#3140—431no—
927#3139—431no—
928#3040—431no—
929#3040—431no—
930#3039—431no—
931#3039—431no—
932#3005—431no—
933#3005—431no—
934#3004—431no—
935#3004—431no—
936#2921—431no—
937C2×C43—41no—
938C2×C43—81no—
939C2×C43—81no—
940C2×C43C2×#53511yescharacteristic
941C2×C43#358611yescharacteristic
942C2×C43#358611yescharacteristic
943D43—22no—
944D43—41no—
945D43—81no—
946D43—81no—
947C22×#41—431no—
948C23×Q8—431no—
949C2×#137—431no—
950C2×#137—431no—
951C2×#137—431no—
952C2×#137—431no—
953C2×#137—431no—
954C2×#137—431no—
955C2×AGL(1,ℤ/8)—431no—
956C2×AGL(1,ℤ/8)—431no—
957#542—431no—
958#542—431no—
959#542—431no—
960#542C2×D4311yescharacteristic, complemented
961#541—431no—
962#541—431no—
963#540—431no—
964#540—431no—
965#539—861no—
966#539—861no—
967#538—861no—
968#538—861no—
969#536—431no—
970#536—431no—
971#536—431no—
972#536—431no—
973#536—431no—
974#536—431no—
975#536—431no—
976#536—861no—
977#536—861no—
978#536—861no—
979#536—861no—
980#536C2×D4311yescharacteristic
981#533—431no—
982#532—431no—
983C2×C4⋊Q8—431no—
984C2×C4⋊Q8—431no—
985#529—861no—
986#529—861no—
987#529—861no—
988#529—861no—
989C2×#124—431no—
990C2×#124—431no—
991#525—431no—
992#525—431no—
993C2×#123—861no—
994C2×#123—861no—
995C2×C22⋊Q8—861no—
996C2×C22⋊Q8—861no—
997C4×#41—431no—
998C4×#41—431no—
999C2×#117—431no—
1000#497—431no—
1001#497—431no—
1002#497—431no—
1003#497—431no—
1004#497—431no—
1005#497C2×D4311yescharacteristic, complemented
1006#496—431no—
1007#496—431no—
1008#495—431no—
1009#495—431no—
1010#495—431no—
1011#495C2×D4311yescharacteristic, complemented
1012#494—431no—
1013#494—431no—
1014#492—431no—
1015#492—431no—
1016#491—431no—
1017#491—431no—
1018#491—431no—
1019#491—431no—
1020#489—431no—
1021#489—431no—
1022#489—431no—
1023#489C2×D4311yescharacteristic, complemented
1024#488—431no—
1025#488—431no—
1026#488—431no—
1027#488—431no—
1028#487—431no—
1029#487—431no—
1030#487—431no—
1031#487C2×D4311yescharacteristic, complemented
1032#464—431no—
1033#464—431no—
1034#464—431no—
1035#464—431no—
1036#464—431no—
1037#464—431no—
1038#464—431no—
1039#464C2×D4311yescharacteristic, complemented
1040#463—431no—
1041#463—431no—
1042#463—431no—
1043#463—431no—
1044#463—431no—
1045#463—431no—
1046#463—431no—
1047#463C2×D4311yescharacteristic, complemented
1048#462—431no—
1049#462—431no—
1050#462—431no—
1051#462—431no—
1052#462—431no—
1053#462—431no—
1054#462—431no—
1055#462C2×D4311yescharacteristic, complemented
1056#461—431no—
1057#461—431no—
1058#461—431no—
1059#461—431no—
1060#461—431no—
1061#461—431no—
1062#461—431no—
1063#461C2×D4311yescharacteristic, complemented
1064#452—431no—
1065#452—431no—
1066#452—431no—
1067#452—431no—
1068#452—431no—
1069#452—431no—
1070#452—431no—
1071#452C2×D4311yescharacteristic
1072#451—431no—
1073#451—431no—
1074#451—431no—
1075#451—431no—
1076#451—431no—
1077#451—431no—
1078#451—431no—
1079#451C2×D4311yescharacteristic, complemented
1080#449—431no—
1081#449—431no—
1082#449—431no—
1083#449—431no—
1084#449—431no—
1085#449—431no—
1086#449—431no—
1087#449C2×D4311yescharacteristic
1088#448—431no—
1089#448—431no—
1090#448—431no—
1091#448—431no—
1092#448—431no—
1093#448—431no—
1094#448—431no—
1095#448C2×D4311yescharacteristic, complemented
1096#433—431no—
1097#433—431no—
1098#433—431no—
1099#433—431no—
1100#433—431no—
1101#433—431no—
1102#433—431no—
1103#433C2×D4311yescharacteristic, complemented
1104#423—431no—
1105#423—431no—
1106#419—431no—
1107#419—431no—
1108#419—431no—
1109#419—431no—
1110#419—431no—
1111#419—431no—
1112#418—431no—
1113#418—431no—
1114#407—431no—
1115#407—431no—
1116C4×M16—431no—
1117C4×M16—431no—
1118C43#6080711yescharacteristic, complemented, Sylow
1119C2×#41—431no—
1120C2×#41—431no—
1121C2×#41—431no—
1122C2×#41—431no—
1123C2×#41—431no—
1124C2×#41—861no—
1125C2×#41—861no—
1126C2×#41—1722no—
1127C2×#41—1722no—
1128C2×#41C22×D4311yescharacteristic
1129C22×Q8—431no—
1130C22×Q8—431no—
1131C22×Q8—431no—
1132C22×Q8—431no—
1133C22×Q8—431no—
1134C22×Q8—431no—
1135C22×Q8—861no—
1136C22×Q8—861no—
1137C22×Q8—861no—
1138C22×Q8—1722no—
1139C22×Q8—1722no—
1140C22×Q8C22×D4311yescharacteristic
1141C22×D4—431no—
1142C22×D4—861no—
1143C23×C4—431no—
1144C23×C4—861no—
1145C23×C4—861no—
1146#137—1722no—
1147#137—1722no—
1148#137—1722no—
1149#137—1722no—
1150#137—1722no—
1151#137—1722no—
1152AGL(1,ℤ/8)—1722no—
1153AGL(1,ℤ/8)—1722no—
1154C2×Q16—431no—
1155C2×Q16—431no—
1156C2×Q16—431no—
1157C2×Q16—431no—
1158C2×Q16—431no—
1159C2×Q16—431no—
1160C2×Q16—431no—
1161C2×Q16—431no—
1162C2×Q16—431no—
1163C2×Q16C22×D4311yescharacteristic
1164C2×Q16C22×D4311yescharacteristic
1165C2×Q16C22×D4311yescharacteristic
1166C2×SD16—431no—
1167C2×SD16—431no—
1168C2×SD16—431no—
1169C2×SD16—431no—
1170C2×SD16—431no—
1171C2×SD16—431no—
1172C2×SD16—431no—
1173C2×SD16—431no—
1174C2×SD16—431no—
1175C2×SD16—431no—
1176C2×SD16—431no—
1177C2×SD16—431no—
1178C2×SD16C22×D4311yescharacteristic
1179C2×SD16C22×D4311yescharacteristic
1180C2×SD16C22×D4311yescharacteristic
1181C2×SD16C22×D4311yescharacteristic
1182C2×D8—431no—
1183C2×D8—431no—
1184C2×D8—431no—
1185C2×D8C22×D4311yescharacteristic
1186C2×M16—431no—
1187C2×M16—431no—
1188C2×M16—431no—
1189C2×M16—431no—
1190C4⋊Q8—431no—
1191C4⋊Q8—431no—
1192C4⋊Q8—431no—
1193C4⋊Q8—431no—
1194C4⋊Q8—431no—
1195C4⋊Q8—431no—
1196C4⋊Q8—431no—
1197C4⋊Q8—431no—
1198C4⋊Q8—861no—
1199C4⋊Q8—861no—
1200C4⋊Q8—861no—
1201C4⋊Q8—861no—
1202C4⋊Q8C22×D4311yescharacteristic
1203C4⋊Q8C22×D4311yescharacteristic
1204C4⋊Q8C22×D4311yescharacteristic
1205#127—431no—
1206#126—21no—
1207#126—861no—
1208#126—861no—
1209#126—861no—
1210#126—861no—
1211#126—861no—
1212#126—861no—
1213#126—861no—
1214#125—431no—
1215#125—431no—
1216#125—861no—
1217#125—861no—
1218#125—861no—
1219#125—861no—
1220#124—21no—
1221#124—431no—
1222#124—431no—
1223#124—431no—
1224#124—431no—
1225#124—431no—
1226#124—431no—
1227#124—431no—
1228#124—861no—
1229#124—861no—
1230#124—861no—
1231#124—861no—
1232#124—861no—
1233#124—861no—
1234#124—861no—
1235#124C22×D4311yescharacteristic
1236#124C22×D4311yescharacteristic
1237#124C22×D4311yescharacteristic
1238#123—21no—
1239#123—21no—
1240#123—21no—
1241#123—861no—
1242#123—861no—
1243#123—861no—
1244#123—861no—
1245#123—861no—
1246#123—861no—
1247#123—861no—
1248#123—861no—
1249#123—861no—
1250#123—861no—
1251#123—861no—
1252#123—861no—
1253#123—861no—
1254#123—861no—
1255#123—861no—
1256#123—861no—
1257#123—861no—
1258#123—861no—
1259#123—861no—
1260#123—861no—
1261#123—861no—
1262#123—861no—
1263#123—861no—
1264C22⋊Q8—21no—
1265C22⋊Q8—21no—
1266C22⋊Q8—21no—
1267C22⋊Q8—431no—
1268C22⋊Q8—431no—
1269C22⋊Q8—431no—
1270C22⋊Q8—861no—
1271C22⋊Q8—861no—
1272C22⋊Q8—861no—
1273C22⋊Q8—861no—
1274C22⋊Q8—861no—
1275C22⋊Q8—861no—
1276C22⋊Q8—861no—
1277C22⋊Q8—861no—
1278C22⋊Q8—861no—
1279C22⋊Q8—861no—
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⋊Q8C22×D4311yescharacteristic
1290#121—431no—
1291#121—431no—
1292#121—431no—
1293#121—861no—
1294#121—861no—
1295#121—861no—
1296#121—861no—
1297#121—861no—
1298#121—861no—
1299#121C22×D4311yescharacteristic
1300#120—861no—
1301#120—861no—
1302C4×Q8—431no—
1303C4×Q8—431no—
1304C4×Q8—431no—
1305C4×Q8—861no—
1306C4×Q8—861no—
1307C4×Q8C22×D4311yescharacteristic
1308C4×D4—431no—
1309C4×D4—431no—
1310C4×D4—431no—
1311C4×D4—861no—
1312C4×D4—861no—
1313C4×D4—861no—
1314C4×D4—861no—
1315C4×D4—861no—
1316C4×D4—861no—
1317C4×D4—861no—
1318C4×D4—861no—
1319C4×D4—861no—
1320C4×D4—861no—
1321C4×D4C22×D4311yescharacteristic
1322#117—431no—
1323#117—431no—
1324#117—431no—
1325#117—431no—
1326#117—431no—
1327#117—431no—
1328#117—431no—
1329#117—431no—
1330#117—431no—
1331#117—861no—
1332#117—861no—
1333#117C22×D4311yescharacteristic
1334C2×C4⋊C4—431no—
1335C2×C4⋊C4—431no—
1336C2×C4⋊C4—861no—
1337C2×C4⋊C4—861no—
1338C2×C4⋊C4—861no—
1339C2×C4⋊C4—861no—
1340C2×C22⋊C4—431no—
1341C2×C22⋊C4—431no—
1342C2×C22⋊C4—861no—
1343C2×C22⋊C4—861no—
1344C2×C22⋊C4—861no—
1345C2×C22⋊C4—861no—
1346C2×C42—431no—
1347C2×C42—431no—
1348C2×C42—861no—
1349C2×C42—861no—
1350C4⋊C8—431no—
1351C4⋊C8—431no—
1352C4⋊C8—431no—
1353C4⋊C8—431no—
1354C4⋊C8—431no—
1355C4⋊C8—431no—
1356C4⋊C8C22×D4311yescharacteristic
1357C4⋊C8C22×D4311yescharacteristic
1358#103—431no—
1359#103—431no—
1360#103—431no—
1361#103—431no—
1362#103—431no—
1363#103—431no—
1364#103—431no—
1365#103—431no—
1366#103—431no—
1367#103—431no—
1368#103—431no—
1369#103—431no—
1370#103—431no—
1371#103—431no—
1372#103—431no—
1373#103—431no—
1374#103—431no—
1375#103—431no—
1376#103C22×D4311yescharacteristic
1377#103C22×D4311yescharacteristic
1378#103C22×D4311yescharacteristic
1379#103C22×D4311yescharacteristic
1380#103C22×D4311yescharacteristic
1381#103C22×D4311yescharacteristic
1382#102—431no—
1383#102—431no—
1384#102—431no—
1385#102—431no—
1386#102—431no—
1387#102—431no—
1388#102C22×D4311yescharacteristic
1389#102C22×D4311yescharacteristic
1390C22⋊C8—431no—
1391C22⋊C8—431no—
1392C22⋊C8—431no—
1393C22⋊C8—431no—
1394C22⋊C8—431no—
1395C22⋊C8—431no—
1396C22⋊C8C22×D4311yescharacteristic
1397C22⋊C8C22×D4311yescharacteristic
1398#97—431no—
1399#97—431no—
1400#97—431no—
1401#97C22×D4311yescharacteristic
1402C4×C8—431no—
1403C4×C8—431no—
1404C4×C8—431no—
1405C4×C8C22×D4311yescharacteristic
1406C24—431no—
1407C24—861no—
1408#41—41no—
1409#41—41no—
1410#41—862no—
1411#41—862no—
1412#41—862no—
1413#41—862no—
1414#41—1721no—
1415#41—1721no—
1416#41—1724no—
1417#41—1721no—
1418#41—1721no—
1419#41—1724no—
1420#41—1721no—
1421#41—1721no—
1422C2×Q8—21no—
1423C2×Q8—21no—
1424C2×Q8—41no—
1425C2×Q8—41no—
1426C2×Q8—431no—
1427C2×Q8—431no—
1428C2×Q8—431no—
1429C2×Q8—431no—
1430C2×Q8—861no—
1431C2×Q8—861no—
1432C2×Q8—861no—
1433C2×Q8—861no—
1434C2×Q8—861no—
1435C2×Q8—862no—
1436C2×Q8—862no—
1437C2×Q8—862no—
1438C2×Q8—862no—
1439C2×Q8—862no—
1440C2×Q8—862no—
1441C2×Q8—861no—
1442C2×Q8—861no—
1443C2×Q8—1721no—
1444C2×Q8—1721no—
1445C2×Q8—1724no—
1446C2×Q8—1721no—
1447C2×Q8—1721no—
1448C2×Q8—1721no—
1449C2×Q8—1721no—
1450C2×Q8—1724no—
1451C2×Q8—1724no—
1452C2×Q8C23×D4311yescharacteristic
1453C2×Q8C23×D4311yescharacteristic
1454C2×Q8C23×D4311yescharacteristic
1455C2×Q8C23×D4311yescharacteristic
1456C2×D4—21no—
1457C2×D4—21no—
1458C2×D4—431no—
1459C2×D4—431no—
1460C2×D4—861no—
1461C2×D4—861no—
1462C2×D4—861no—
1463C2×D4—862no—
1464C2×D4—862no—
1465C2×D4—861no—
1466C2×D4—861no—
1467C2×D4—861no—
1468C2×D4—861no—
1469C2×D4—861no—
1470C2×D4—861no—
1471C2×D4—861no—
1472C2×D4—861no—
1473C2×D4—1724no—
1474C2×D4C23×D4311yescharacteristic
1475C2×D4C23×D4311yescharacteristic
1476C22×C4—21no—
1477C22×C4—21no—
1478C22×C4—21no—
1479C22×C4—431no—
1480C22×C4—431no—
1481C22×C4—431no—
1482C22×C4—431no—
1483C22×C4—431no—
1484C22×C4—431no—
1485C22×C4—431no—
1486C22×C4—431no—
1487C22×C4—431no—
1488C22×C4—862no—
1489C22×C4—862no—
1490C22×C4—861no—
1491C22×C4—861no—
1492C22×C4—861no—
1493C22×C4—861no—
1494C22×C4—861no—
1495C22×C4—861no—
1496C22×C4—861no—
1497C22×C4—861no—
1498C22×C4—861no—
1499C22×C4—861no—
1500C22×C4—861no—
1501C22×C4—861no—
1502C22×C4—861no—
1503C22×C4—861no—
1504C22×C4—1724no—
1505C22×C4—1724no—
1506C22×C4C23×D4311yescharacteristic
1507Q16—41no—
1508Q16—41no—
1509Q16—41no—
1510Q16—1721no—
1511Q16—1721no—
1512Q16—1721no—
1513Q16—1721no—
1514Q16—1721no—
1515Q16—1721no—
1516Q16—1721no—
1517Q16—1721no—
1518Q16—1721no—
1519SD16—41no—
1520SD16—41no—
1521SD16—41no—
1522SD16—41no—
1523SD16—1721no—
1524SD16—1721no—
1525SD16—1721no—
1526SD16—1721no—
1527SD16—1721no—
1528SD16—1721no—
1529SD16—1721no—
1530SD16—1721no—
1531SD16—1721no—
1532SD16—1721no—
1533SD16—1721no—
1534SD16—1721no—
1535D8—41no—
1536D8—1721no—
1537D8—1721no—
1538D8—1721no—
1539M16—862no—
1540M16—862no—
1541M16—862no—
1542M16—862no—
1543C2×C8—431no—
1544C2×C8—431no—
1545C2×C8—431no—
1546C2×C8—431no—
1547C2×C8C23×D4311yescharacteristic
1548C2×C8C23×D4311yescharacteristic
1549C2×C8C23×D4311yescharacteristic
1550C2×C8C23×D4311yescharacteristic
1551C4⋊C4—21no—
1552C4⋊C4—21no—
1553C4⋊C4—21no—
1554C4⋊C4—21no—
1555C4⋊C4—21no—
1556C4⋊C4—21no—
1557C4⋊C4—21no—
1558C4⋊C4—431no—
1559C4⋊C4—431no—
1560C4⋊C4—431no—
1561C4⋊C4—431no—
1562C4⋊C4—431no—
1563C4⋊C4—431no—
1564C4⋊C4—431no—
1565C4⋊C4—431no—
1566C4⋊C4—861no—
1567C4⋊C4—861no—
1568C4⋊C4—861no—
1569C4⋊C4—861no—
1570C4⋊C4—861no—
1571C4⋊C4—861no—
1572C4⋊C4—861no—
1573C4⋊C4—861no—
1574C4⋊C4—861no—
1575C4⋊C4—861no—
1576C4⋊C4—861no—
1577C4⋊C4—861no—
1578C4⋊C4—861no—
1579C4⋊C4—861no—
1580C4⋊C4—861no—
1581C4⋊C4—861no—
1582C4⋊C4—861no—
1583C4⋊C4—861no—
1584C4⋊C4—861no—
1585C4⋊C4—861no—
1586C4⋊C4—861no—
1587C4⋊C4—861no—
1588C4⋊C4—861no—
1589C4⋊C4—861no—
1590C4⋊C4—861no—
1591C4⋊C4D4×D4311yescharacteristic
1592C4⋊C4D4×D4311yescharacteristic
1593C4⋊C4C23×D4311yescharacteristic
1594C4⋊C4C23×D4311yescharacteristic
1595C22⋊C4—21no—
1596C22⋊C4—21no—
1597C22⋊C4—21no—
1598C22⋊C4—21no—
1599C22⋊C4—21no—
1600C22⋊C4—21no—
1601C22⋊C4—21no—
1602C22⋊C4—21no—
1603C22⋊C4—21no—
1604C22⋊C4—431no—
1605C22⋊C4—431no—
1606C22⋊C4—431no—
1607C22⋊C4—431no—
1608C22⋊C4—431no—
1609C22⋊C4—431no—
1610C22⋊C4—861no—
1611C22⋊C4—861no—
1612C22⋊C4—861no—
1613C22⋊C4—861no—
1614C22⋊C4—861no—
1615C22⋊C4—861no—
1616C22⋊C4—861no—
1617C22⋊C4—861no—
1618C22⋊C4—861no—
1619C22⋊C4—861no—
1620C22⋊C4—861no—
1621C22⋊C4—861no—
1622C22⋊C4—861no—
1623C22⋊C4—861no—
1624C22⋊C4—861no—
1625C22⋊C4—861no—
1626C22⋊C4—861no—
1627C22⋊C4—861no—
1628C22⋊C4—861no—
1629C22⋊C4—861no—
1630C22⋊C4—861no—
1631C22⋊C4—861no—
1632C22⋊C4—861no—
1633C22⋊C4—861no—
1634C22⋊C4—861no—
1635C22⋊C4D4×D4311yescharacteristic
1636C22⋊C4D4×D4311yescharacteristic
1637C42—21no—
1638C42—431no—
1639C42—431no—
1640C42—431no—
1641C42—431no—
1642C42—431no—
1643C42—431no—
1644C42—861no—
1645C42—861no—
1646C42—861no—
1647C42—861no—
1648C42—861no—
1649C42C23×D4311yescharacteristic
1650C42C23×D4311yescharacteristic
1651C23—21no—
1652C23—21no—
1653C23—431no—
1654C23—431no—
1655C23—862no—
1656C23—861no—
1657C23—861no—
1658C23—1721no—
1659C23—1721no—
1660C23—1722no—
1661C23—1722no—
1662C23—1722no—
1663C23C2×D4×D4311yescharacteristic
1664Q8—21no—
1665Q8—21no—
1666Q8—21no—
1667Q8—21no—
1668Q8—21no—
1669Q8—21no—
1670Q8—21no—
1671Q8—21no—
1672Q8—42no—
1673Q8—81no—
1674Q8—861no—
1675Q8—861no—
1676Q8—861no—
1677Q8—861no—
1678Q8—861no—
1679Q8—861no—
1680Q8—861no—
1681Q8—861no—
1682Q8—3441no—
1683Q8—1722no—
1684Q8—1722no—
1685Q8—1722no—
1686Q8—1722no—
1687Q8—1722no—
1688Q8—1722no—
1689D4—21no—
1690D4—21no—
1691D4—21no—
1692D4—21no—
1693D4—42no—
1694D4—81no—
1695D4—861no—
1696D4—861no—
1697D4—861no—
1698D4—861no—
1699D4—3441no—
1700D4—3441no—
1701D4—3441no—
1702D4—3441no—
1703D4—3441no—
1704D4—1722no—
1705D4—1722no—
1706D4—1722no—
1707D4—1722no—
1708D4—1722no—
1709D4—1722no—
1710C2×C4—21no—
1711C2×C4—21no—
1712C2×C4—21no—
1713C2×C4—21no—
1714C2×C4—21no—
1715C2×C4—21no—
1716C2×C4—21no—
1717C2×C4—21no—
1718C2×C4—42no—
1719C2×C4—42no—
1720C2×C4—81no—
1721C2×C4—431no—
1722C2×C4—432no—
1723C2×C4—432no—
1724C2×C4—431no—
1725C2×C4—431no—
1726C2×C4—431no—
1727C2×C4—431no—
1728C2×C4—431no—
1729C2×C4—862no—
1730C2×C4—862no—
1731C2×C4—862no—
1732C2×C4—861no—
1733C2×C4—861no—
1734C2×C4—861no—
1735C2×C4—861no—
1736C2×C4—861no—
1737C2×C4—861no—
1738C2×C4—861no—
1739C2×C4—861no—
1740C2×C4—3441no—
1741C2×C4—3441no—
1742C2×C4—3441no—
1743C2×C4—1721no—
1744C2×C4—1721no—
1745C2×C4—1721no—
1746C2×C4—1721no—
1747C2×C4—1722no—
1748C2×C4—1722no—
1749C2×C4—1722no—
1750C2×C4—1722no—
1751C2×C4—1722no—
1752C2×C4—1722no—
1753C2×C4—1722no—
1754C2×C4—1722no—
1755C2×C4—1722no—
1756C2×C4—1722no—
1757C2×C4—1722no—
1758C2×C4C2×D4×D4311yescharacteristic
1759C2×C4C2×D4×D4311yescharacteristic
1760C2×C4C2×D4×D4311yescharacteristic
1761C2×C4C2×D4×D4311yescharacteristic
1762C2×C4C2×D4×D4311yescharacteristic
1763C2×C4C24×D4311yescharacteristic
1764C8—21no—
1765C8—21no—
1766C8—21no—
1767C8—21no—
1768C8—861no—
1769C8—861no—
1770C8—861no—
1771C8—861no—
1772C22—21no—
1773C22—21no—
1774C22—21no—
1775C22—41no—
1776C22—41no—
1777C22—41no—
1778C22—41no—
1779C22—41no—
1780C22—41no—
1781C22—432no—
1782C22—861no—
1783C22—861no—
1784C22—861no—
1785C22—861no—
1786C22—861no—
1787C22—3444no—
1788C22—1724no—
1789C22—1721no—
1790C22—1721no—
1791C22—1721no—
1792C22—1721no—
1793C22—1721no—
1794C22—1721no—
1795C22C22×D4×D4311yescharacteristic
1796C4—21no—
1797C4—21no—
1798C4—21no—
1799C4—21no—
1800C4—21no—
1801C4—41no—
1802C4—41no—
1803C4—41no—
1804C4—41no—
1805C4—41no—
1806C4—41no—
1807C4—432no—
1808C4—861no—
1809C4—861no—
1810C4—861no—
1811C4—861no—
1812C4—861no—
1813C4—1721no—
1814C4—1721no—
1815C4—1721no—
1816C4—1721no—
1817C4—1721no—
1818C4—1721no—
1819C4H(5,𝔽2)×D4311yescharacteristic
1820C4H(5,𝔽2)×D4311yescharacteristic
1821C2—41no—
1822C2—81no—
1823C2—81no—
1824C2—862no—
1825C2—3441no—
1826C2—3441no—
1827C2—1721no—
1828C2#535×D4311yescharacteristic
1829C2#1914937711yescharacteristic
1830C2#1914938011yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3225C2
socleC22×C43C23×D4
hypercenter#3225D43
hypocenterC43#60807
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ #117 ◁ #3225

Complements

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

NH ≅ G/Ntype
1. #19147982C2semidirect
2. #536×D43C2semidirect
3. #19145707C2semidirect
4. #19145706C2semidirect
5. #19145705C2semidirect
6. #19145704C2semidirect
7. #19145699C2semidirect
8. #19145698C2semidirect
9. #19145697C2semidirect
10. #19145677C2semidirect
11. #19145676C2semidirect
12. #19145675C2semidirect
13. #19145674C2semidirect
14. #19145655C2semidirect
15. #19145654C2semidirect
16. #19145653C2semidirect
17. #19145652C2semidirect
18. #19145056C2semidirect
19. #19145051C2semidirect
20. #19144980C2semidirect
21. #19144972C2semidirect
22. #19144086C2semidirect
23. #19144084C2semidirect
24. #19144079C2semidirect
25. #19144077C2semidirect
26. #19143838C2semidirect
27. #19143833C2semidirect
28. #19143830C2semidirect
29. #19143826C2semidirect
30. #19143229C2semidirect
31. C43×#3225C2semidirect
42. #14583523C22semidirect
43. #14583520C22semidirect
44. #14583518C22semidirect
45. #14583509C22semidirect
46. #14583507C22semidirect
47. #14583502C22semidirect
48. #14583500C22semidirect
83. #14583294C22semidirect
84. #14583293C22semidirect
85. #14583292C22semidirect
86. #14583291C22semidirect
87. #14583290C22semidirect
88. #14583287C22semidirect
89. #14583285C22semidirect
90. #14583283C22semidirect
91. #14583281C22semidirect
92. #14583281C22semidirect
93. #14583277C22semidirect
94. #14583277C22semidirect
95. #14583270C22semidirect
96. #14583270C22semidirect
97. #14583266C22semidirect
98. #14583266C22semidirect
99. #14583266C22semidirect
100. #14583266C22semidirect
101. #14583261C22semidirect
102. #14583259C22semidirect
103. #14583258C22semidirect
104. #14583255C22semidirect
105. #14583255C22semidirect
106. #14583252C22semidirect
107. #14583252C22semidirect
108. #14583251C22semidirect
109. #14583250C22semidirect
110. #14583249C22semidirect
111. #14583124C22semidirect
112. #14583123C22semidirect
113. #14583122C22semidirect
114. #14583121C22semidirect
115. #14583120C22semidirect
116. #14583119C22semidirect
117. #14583118C22semidirect
118. #14583117C22semidirect
119. #14583116C22semidirect
120. #14583115C22semidirect
121. #14583114C22semidirect
122. #14583113C22semidirect
123. #14583112C22semidirect
124. #14583111C22semidirect
125. #14583110C22semidirect
126. #14583109C22semidirect
127. #14583108C22semidirect
128. #14583108C22semidirect
129. #14583107C22semidirect
130. #14583107C22semidirect
131. #14583106C22semidirect
132. #14583105C22semidirect
133. #14583104C22semidirect
134. #14583103C22semidirect
135. #14583103C22semidirect
136. #14583102C22semidirect
137. #14583102C22semidirect
138. #14583101C22semidirect
146. #14583057C22semidirect
147. #14583056C22semidirect
148. #14583056C22semidirect
149. #14583055C22semidirect
150. #14583054C22semidirect
151. #14583053C22semidirect
152. #14583053C22semidirect
160. #14583040C22semidirect
161. #14583039C22semidirect
162. #14583039C22semidirect
163. #14583038C22semidirect
164. #14583037C22semidirect
165. #14583036C22semidirect
166. #14583036C22semidirect
167. #14582961C22semidirect
168. #14582960C22semidirect
169. #14582959C22semidirect
170. #14582959C22semidirect
171. #14582958C22semidirect
172. #14582957C22semidirect
173. #14582957C22semidirect
188. C43×#542C22semidirect
190. C43×#497C22semidirect
191. C43×#495C22semidirect
192. C43×#489C22semidirect
193. C43×#487C22semidirect
194. C43×#464C22semidirect
195. C43×#463C22semidirect
196. C43×#462C22semidirect
197. C43×#461C22semidirect
199. C43×#451C22semidirect
201. C43×#448C22semidirect
202. C43×#433C22semidirect
915. #3225D43semidirect
960. #542C2×D43semidirect
1005. #497C2×D43semidirect
1011. #495C2×D43semidirect
1023. #489C2×D43semidirect
1031. #487C2×D43semidirect
1039. #464C2×D43semidirect
1047. #463C2×D43semidirect
1055. #462C2×D43semidirect
1063. #461C2×D43semidirect
1079. #451C2×D43semidirect
1095. #448C2×D43semidirect
1103. #433C2×D43semidirect
1118. C43#60807semidirect

Maximal subgroups

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

subgroupindex
#191479822
#536×D432
#191457072
#191457062
#191457052
#191457042
#191456992
#191456982
#191456972
#191456772
#191456762
#191456752
#191456742
#191456552
#191456542
#191456532
#191456522
#191450562
#191450512
#191449802
#191449722
#191440862
#191440842
#191440792
#191440772
#191438382
#191438332
#191438302
#191438262
#191432292
C43×#32252
#6080743