Finite Group Databasebeta

← #25968440

Subgroups — #25968440

Order 11008.

2018 conjugacy classes of subgroups.

The subgroup lattice has 1830 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19148487C211yesmaximal, characteristic, complemented
2#19148377C211yesmaximal, 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#19145637C211yesmaximal, characteristic, complemented
11#19145636C211yesmaximal, characteristic, complemented
12#19145631C211yesmaximal, characteristic, complemented
13#19145630C211yesmaximal, characteristic, complemented
14#19145626C211yesmaximal, characteristic, complemented
15#19145625C211yesmaximal, characteristic, complemented
16#19145621C211yesmaximal, characteristic, complemented
17#19145620C211yesmaximal, characteristic, complemented
18#19145056C211yesmaximal, characteristic, complemented
19#497×D43C211yesmaximal, characteristic, complemented
20#19144972C211yesmaximal, characteristic, complemented
21#19144937C211yesmaximal, characteristic, complemented
22#19144123C211yesmaximal, characteristic, complemented
23#19144120C211yesmaximal, characteristic, complemented
24#19144105C211yesmaximal, characteristic, complemented
25#19144102C211yesmaximal, characteristic, complemented
26#19143887C211yesmaximal, characteristic, complemented
27#19143885C211yesmaximal, characteristic, complemented
28#19143878C211yesmaximal, characteristic, complemented
29#19143876C211yesmaximal, characteristic, complemented
30#19143243C211yesmaximal, characteristic, complemented
31C43×#3225C211yesmaximal, characteristic, complemented
32C2×#13063373C2211yescharacteristic
33C2×#13063372C2211yescharacteristic
34C2×#13063357C2211yescharacteristic
35C2×#13063354C2211yescharacteristic
36C2×#13063352C2211yescharacteristic
37C2×#13063349C2211yescharacteristic
38C2×Q16×D43C2211yescharacteristic
39C2×Q16×D43C2211yescharacteristic
40C2×SD16×D43C2211yescharacteristic
41C2×SD16×D43C2211yescharacteristic
42#14583633—21no—
43#14583631—21no—
44#14583620—21no—
45#14583616—21no—
46#14583579—21no—
47#14583576—21no—
48#14583574—21no—
49#14583572—21no—
50#14583562—21no—
51#14583562—21no—
52#14583551—21no—
53#14583551—21no—
54#14583547—21no—
55#14583547—21no—
56#14583547—21no—
57#14583547—21no—
58#14583523C2211yescharacteristic
59#14583520C2211yescharacteristic
60#14583518C2211yescharacteristic
61#14583475C2211yescharacteristic, complemented
62#14583474C2211yescharacteristic
63#14583474C2211yescharacteristic, complemented
64#14583472C2211yescharacteristic
65#14583469C2211yescharacteristic
66#14583469C2211yescharacteristic, complemented
67#14583465C2211yescharacteristic
68#14583454C2211yescharacteristic
69#14583448C2211yescharacteristic
70#14583448C2211yescharacteristic, complemented
71#14583445C2211yescharacteristic, complemented
72C2×#13063323C2211yescharacteristic, complemented
73C4⋊Q8×D43C2211yescharacteristic
74C4⋊Q8×D43C2211yescharacteristic, complemented
75#14583436C2211yescharacteristic
76#14583435C2211yescharacteristic
77#14583431C2211yescharacteristic
78#14583430C2211yescharacteristic
79#124×D43C2211yescharacteristic
80#14583375C2211yescharacteristic
81#14583371C2211yescharacteristic
82#14583367C2211yescharacteristic
83#14583294C2211yescharacteristic
84#14583293C2211yescharacteristic
85#14583292C2211yescharacteristic
86#14583292C2211yescharacteristic
87#14583292C2211yescharacteristic
88#14583291C2211yescharacteristic
89#14583290C2211yescharacteristic
90#14583290C2211yescharacteristic
91#14583290C2211yescharacteristic
92#14583287C2211yescharacteristic
93#14583285C2211yescharacteristic
94#14583283C2211yescharacteristic
95#14583281C2211yescharacteristic
96#14583281C2211yescharacteristic
97#14583266C2211yescharacteristic, complemented
98#14583266C2211yescharacteristic, complemented
99#14583266C2211yescharacteristic, complemented
100#14583266C2211yescharacteristic, complemented
101#14583266C2211yescharacteristic, complemented
102#14583266C2211yescharacteristic, complemented
103#14583262C2211yescharacteristic, complemented
104#14583262C2211yescharacteristic, complemented
105#14583261C2211yescharacteristic, complemented
106#14583259C2211yescharacteristic, complemented
107#14583258C2211yescharacteristic, 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
119#14583116C2211yescharacteristic
120#14583115C2211yescharacteristic
121#14583114C2211yescharacteristic
122#14583113C2211yescharacteristic
123#14583112C2211yescharacteristic
124#14583111C2211yescharacteristic
125#14583110C2211yescharacteristic, complemented
126#14583109C2211yescharacteristic, complemented
127#14583108C2211yescharacteristic, complemented
128#14583108C2211yescharacteristic, complemented
129#14583107C2211yescharacteristic, complemented
130#14583107C2211yescharacteristic, complemented
131#14583106C2211yescharacteristic, complemented
132#14583105C2211yescharacteristic
133#14583104C2211yescharacteristic
134#14583103C2211yescharacteristic
135#14583103C2211yescharacteristic
136#14583102C2211yescharacteristic
137#14583102C2211yescharacteristic
138#14583101C2211yescharacteristic
139#14583064C2211yescharacteristic, complemented
140#14583063C2211yescharacteristic, complemented
141#14583062C2211yescharacteristic, complemented
142#14583061C2211yescharacteristic, complemented
143#14583060C2211yescharacteristic, complemented
144#14583059C2211yescharacteristic, complemented
145#14583058C2211yescharacteristic, complemented
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
161#14583039C2211yescharacteristic
162#14583039C2211yescharacteristic
163#14583038C2211yescharacteristic
164#14583037C2211yescharacteristic
165#14583036C2211yescharacteristic
166#14583036C2211yescharacteristic
167#14582961C2211yescharacteristic, complemented
168#14582960C2211yescharacteristic, complemented
169#14582958C2211yescharacteristic, complemented
170#14582955C2211yescharacteristic, complemented
171#14582955C2211yescharacteristic, complemented
172#14582953C2211yescharacteristic, complemented
173#14582953C2211yescharacteristic, complemented
174#14582924C2211yescharacteristic
175#14582924C2211yescharacteristic
176#14582906C2211yescharacteristic
177#14582906C2211yescharacteristic
178#14582906C2211yescharacteristic
179#14582906C2211yescharacteristic
180#14582894C2211yescharacteristic
181#14582894C2211yescharacteristic
182#14582892C2211yescharacteristic
183#14582892C2211yescharacteristic
184#14582864C2211yescharacteristic
185#14582864C2211yescharacteristic
186C4×#10621872C2211yescharacteristic
187#97×D43C2211yescharacteristic
188C43×#542C2211yescharacteristic
189C43×#536C2211yescharacteristic, complemented
190C43×#497C2211yescharacteristic
191C43×#495C2211yescharacteristic
192C43×#489C2211yescharacteristic, complemented
193C43×#487C2211yescharacteristic, complemented
194C43×#464C2211yescharacteristic, complemented
195C43×#463C2211yescharacteristic
196C43×#462C2211yescharacteristic, complemented
197C43×#461C2211yescharacteristic
198C43×#452C2211yescharacteristic, complemented
199C43×#451C2211yescharacteristic, complemented
200C43×#449C2211yescharacteristic
201C43×#448C2211yescharacteristic
202C43×#433C2211yescharacteristic, complemented
203#13063373—42no—
204#13063373—42no—
205#13063372—42no—
206#13063372—42no—
207C2×#10621902—21no—
208C2×#10621902C2311yescharacteristic
209C2×#10621902C2311yescharacteristic
210C2×#10621898—21no—
211C2×#10621898—21no—
212C2×#10621898—21no—
213C2×#10621898C2311yescharacteristic
214C2×#10621898C2311yescharacteristic
215C2×#10621900—21no—
216C2×#10621900—21no—
217C2×#10621900C2311yescharacteristic
218C2×#10621900C2311yescharacteristic
219C22×Dic86—21no—
220C22×Dic86C2311yescharacteristic
221C2×Q8×D43—21no—
222C2×Q8×D43C2311yescharacteristic
223C2×Q8×D43C2311yescharacteristic
224C2×Q8×D43C2311yescharacteristic
225C2×Q8×D43C2311yescharacteristic
226C2×Q8×D43C2311yescharacteristic
227C2×D4×D43C2311yescharacteristic
228#13063357—42no—
229#13063354—42no—
230#13063352—42no—
231#13063349—42no—
232C2×Dic172C2311yescharacteristic
233C2×Dic172C2311yescharacteristic
234C2×Dic172C2311yescharacteristic
235C2×#10621885C2311yescharacteristic
236C2×#10621885C2311yescharacteristic
237C2×#10621885C2311yescharacteristic
238C2×#10621885C2311yescharacteristic
239C2×#10621885C2311yescharacteristic
240C2×#10621885C2311yescharacteristic
241Q16×D43—42no—
242Q16×D43—42no—
243C2×#10621873C2311yescharacteristic
244C2×#10621873C2311yescharacteristic
245C2×#10621873C2311yescharacteristic
246C2×#10621873C2311yescharacteristic
247C2×#10621883C2311yescharacteristic
248C2×#10621883C2311yescharacteristic
249C2×#10621883C2311yescharacteristic
250C2×#10621883C2311yescharacteristic
251C2×#10621884C2311yescharacteristic
252C2×#10621884C2311yescharacteristic
253C2×#10621884C2311yescharacteristic
254C2×#10621884C2311yescharacteristic
255SD16×D43—42no—
256SD16×D43—42no—
257C2×D344C2311yescharacteristic
258C2×#10621882C2311yescharacteristic
259C2×#10621882C2311yescharacteristic
260C2×#10621872C2311yescharacteristic
261C2×#10621872C2311yescharacteristic
262C2×C8×D43C2311yescharacteristic
263C2×C8×D43C2311yescharacteristic
264#13063325C2311yescharacteristic
265#13063325C2311yescharacteristic
266#13063325C2311yescharacteristic
267#13063324—21no—
268#13063324—21no—
269#13063324—21no—
270#13063324—21no—
271#13063324—21no—
272#13063323—21no—
273#13063323—21no—
274#13063323C2311yescharacteristic
275#13063323C2311yescharacteristic
276#13063323C2311yescharacteristic
277#13063323C2311yescharacteristic
278#13063323C2311yescharacteristic
279#13063321—21no—
280#13063321C2311yescharacteristic
281#13063320—21no—
282#13063320—21no—
283#13063320—21no—
284#13063320—21no—
285#13063318—21no—
286#13063318—21no—
287#13063318—21no—
288#13063316C2311yescharacteristic
289#13063316C2311yescharacteristic
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#13063310—21no—
311#13063309—21no—
312#13063309—21no—
313#13063309—21no—
314#13063309—21no—
315#13063307—21no—
316#13063307—21no—
317#13063307—21no—
318#13063307—21no—
319#13063307—21no—
320#13063307—21no—
321#13063307—21no—
322#13063306—21no—
323#13063305—21no—
324#13063305—21no—
325#13063305—21no—
326#13063305C2311yescharacteristic
327#13063304C2311yescharacteristic
328#13063303—21no—
329#13063303—21no—
330#13063303—21no—
331#13063303—21no—
332#13063303—21no—
333#13063302—21no—
334#13063302—21no—
335#13063302—21no—
336#13063302—21no—
337#13063302—21no—
338#13063301—21no—
339#13063301—21no—
340#13063301C2311yescharacteristic
341#13063300C2311yescharacteristic
342#13063299C2311yescharacteristic
343#13063298—21no—
344#13063298—21no—
345#13063298—21no—
346#13063298—21no—
347#13063297—21no—
348#13063297—21no—
349#13063296C2311yescharacteristic
350#13063295—21no—
351#13063293—21no—
352Q8×Dic43—21no—
353Q8×Dic43C2311yescharacteristic
354C4×Dic86—21no—
355C4×Dic86C2311yescharacteristic
356#13063290—21no—
357#13063290—21no—
358#13063290D411yescharacteristic
359#13063290D411yescharacteristic
360#13063290C2311yescharacteristic
361C4×D172—21no—
362C4×D172C2311yescharacteristic
363D4×Dic43—21no—
364D4×Dic43C2311yescharacteristic
365#13063287D411yescharacteristic
366#13063287D411yescharacteristic
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(C22⋊D43)⋊C4—21no—
376(C22⋊D43)⋊C4—21no—
377(C22⋊D43)⋊C4—21no—
378(C22⋊D43)⋊C4D411yescharacteristic
379(C22⋊D43)⋊C4D411yescharacteristic
380(C22⋊D43)⋊C4D411yescharacteristic
381(C22⋊D43)⋊C4D411yescharacteristic
382#13063284—21no—
383#13063283—21no—
384#13063283—21no—
385#13063283C2311yescharacteristic
386#13063283C2311yescharacteristic
387#13063282—21no—
388#13063282—21no—
389#13063282C2311yescharacteristic
390#13063282C2311yescharacteristic
391#13063281—21no—
392C2×Dic43⋊C4—21no—
393C2×Dic43⋊C4—21no—
394C4⋊C4×D43—21no—
395C4⋊C4×D43—21no—
396C4⋊C4×D43—21no—
397C4⋊C4×D43—21no—
398C2×(C2×D43)⋊C4—21no—
399C22⋊C4×D43—21no—
400C22⋊C4×D43—21no—
401C22⋊C4×D43—21no—
402C2×C4×Dic43C2311yescharacteristic
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
444#13063235C2311yescharacteristic
445#13063235C2311yescharacteristic
446C4×C43⋊C8C2311yescharacteristic
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—
491#41×C43—41no—
492#41×C43—41no—
493C2×Q8×C43—21no—
494C2×Q8×C43—21no—
495C2×Q8×C43—41no—
496C2×Q8×C43—41no—
497C2×Q8×C43C2411yescharacteristic
498C2×Q8×C43C2411yescharacteristic
499C2×Q8×C43C2411yescharacteristic
500C2×Q8×C43C2411yescharacteristic
501C2×D4×C43—21no—
502C2×D4×C43—21no—
503C2×D4×C43C2411yescharacteristic
504C2×D4×C43C2411yescharacteristic
505C22×C4×C43—21no—
506C22×C4×C43—21no—
507C22×C4×C43—21no—
508C22×C4×C43C2411yescharacteristic
509C2×C22⋊D43—21no—
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⋊D43C2×D411yescharacteristic
518C2×C22⋊D43C2×D411yescharacteristic
519C22×Dic43—21no—
520C22×Dic43—21no—
521C22×Dic43—21no—
522C22×Dic43—21no—
523C22×Dic43C2×D411yescharacteristic
524C22×Dic43C2×D411yescharacteristic
525#10621902—22no—
526#10621902—22no—
527#10621902—41no—
528#10621902—41no—
529#10621902—44no—
530Q8×D43—22no—
531Q8×D43—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—44no—
541#10621900—22no—
542#10621900—22no—
543#10621900—41no—
544#10621900—41no—
545#10621900—44no—
546#10621900—44no—
547D4×D43—22no—
548D4×D43—22no—
549#10621898—22no—
550#10621898—22no—
551#10621898—41no—
552#10621898—41no—
553#10621898—44no—
554#10621898—44no—
555#10621898—44no—
556C2×D172—21no—
557C2×D172—21no—
558C2×D172—21no—
559C2×D172C2×D411yescharacteristic
560C2×D172C2411yescharacteristic
561C2×D172C2411yescharacteristic
562C2×C4×D43—21no—
563C2×C4×D43—21no—
564C2×C4×D43—21no—
565C2×C4×D43—21no—
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×D43C2×D411yescharacteristic
573C2×C4×D43C2×D411yescharacteristic
574C2×C4×D43C2×D411yescharacteristic
575C2×C4×D43C2×D411yescharacteristic
576C2×C4×D43C2411yescharacteristic
577C2×C4×D43C2411yescharacteristic
578C2×Dic86—21no—
579C2×Dic86—21no—
580C2×Dic86—21no—
581C2×Dic86—21no—
582C2×Dic86—21no—
583C2×Dic86—21no—
584C2×Dic86—21no—
585C2×Dic86—41no—
586C2×Dic86—41no—
587C2×Dic86—44no—
588C2×Dic86C2×D411yescharacteristic
589C2×Dic86C2411yescharacteristic
590C2×Dic86C2411yescharacteristic
591C2×Dic86C2411yescharacteristic
592C2×Dic86C2411yescharacteristic
593Q16×C43—41no—
594Q16×C43—41no—
595Q16×C43—41no—
596SD16×C43—41no—
597SD16×C43—41no—
598SD16×C43—41no—
599SD16×C43—41no—
600D8×C43—41no—
601C2×C8×C43C2411yescharacteristic
602C2×C8×C43C2411yescharacteristic
603C2×C8×C43C2411yescharacteristic
604C2×C8×C43C2411yescharacteristic
605C4⋊C4×C43—21no—
606C4⋊C4×C43—21no—
607C4⋊C4×C43—21no—
608C4⋊C4×C43—21no—
609C4⋊C4×C43—21no—
610C4⋊C4×C43—21no—
611C4⋊C4×C43—21no—
612C4⋊C4×C43C2×D411yescharacteristic
613C4⋊C4×C43C2×D411yescharacteristic
614C4⋊C4×C43C2411yescharacteristic
615C4⋊C4×C43C2411yescharacteristic
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×C43—21no—
624C22⋊C4×C43—21no—
625C22⋊C4×C43C2×D411yescharacteristic
626C22⋊C4×C43C2×D411yescharacteristic
627C42×C43—21no—
628C42×C43C2411yescharacteristic
629C42×C43C2411yescharacteristic
630C22⋊Dic43—21no—
631C22⋊Dic43—21no—
632C22⋊Dic43—21no—
633C22⋊Dic43—21no—
634C22⋊Dic43—21no—
635C22⋊Dic43—21no—
636C22⋊Dic43—21no—
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⋊Dic43C2411yescharacteristic
685C4⋊Dic43C2411yescharacteristic
686Dic43⋊C4—21no—
687Dic43⋊C4—21no—
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⋊C4C2×D411yescharacteristic
703Dic43⋊C4C2×D411yescharacteristic
704Dic43⋊C4C2×D411yescharacteristic
705Dic43⋊C4C2×D411yescharacteristic
706C4×Dic43—21no—
707C4×Dic43—21no—
708C4×Dic43—21no—
709C4×Dic43—21no—
710C4×Dic43—21no—
711C4×Dic43C2×D411yescharacteristic
712C4×Dic43C2×D411yescharacteristic
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—
733C8×D43—22no—
734C8×D43—22no—
735C23×C43—21no—
736C23×C43—21no—
737C23×C43C22×D411yescharacteristic
738C22×D43—21no—
739C22×D43—21no—
740C22×D43—42no—
741C22×D43—81no—
742C22×D43—81no—
743C22×D43C22×D411yescharacteristic
744C22×D43C22×D411yescharacteristic
745Q8×C43—21no—
746Q8×C43—21no—
747Q8×C43—21no—
748Q8×C43—21no—
749Q8×C43—21no—
750Q8×C43—21no—
751Q8×C43—21no—
752Q8×C43—21no—
753Q8×C43—42no—
754Q8×C43—81no—
755D4×C43—21no—
756D4×C43—21no—
757D4×C43—21no—
758D4×C43—21no—
759D4×C43—42no—
760D4×C43—81no—
761C2×C4×C43—21no—
762C2×C4×C43—21no—
763C2×C4×C43—21no—
764C2×C4×C43—21no—
765C2×C4×C43—21no—
766C2×C4×C43—21no—
767C2×C4×C43—21no—
768C2×C4×C43—21no—
769C2×C4×C43—42no—
770C2×C4×C43—42no—
771C2×C4×C43—81no—
772C2×C4×C43C22×D411yescharacteristic
773C2×C4×C43C22×D411yescharacteristic
774C2×C4×C43C22×D411yescharacteristic
775C2×C4×C43C22×D411yescharacteristic
776C2×C4×C43C22×D411yescharacteristic
777C2×C4×C43C2511yescharacteristic
778C22⋊D43—22no—
779C22⋊D43—22no—
780C22⋊D43—42no—
781C22⋊D43—42no—
782C22⋊D43—42no—
783C22⋊D43—42no—
784C22⋊D43—42no—
785C22⋊D43—42no—
786C22⋊D43—81no—
787C22⋊D43—81no—
788C2×Dic43—21no—
789C2×Dic43—21no—
790C2×Dic43—21no—
791C2×Dic43—21no—
792C2×Dic43—21no—
793C2×Dic43—21no—
794C2×Dic43—41no—
795C2×Dic43—41no—
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—22no—
807D172—21no—
808D172—21no—
809D172—21no—
810D172—21no—
811D172—42no—
812D172—42no—
813D172—81no—
814C4×D43—21no—
815C4×D43—21no—
816C4×D43—41no—
817C4×D43—41no—
818C4×D43—41no—
819C4×D43—41no—
820C4×D43—42no—
821C4×D43—42no—
822C4×D43—42no—
823C4×D43—42no—
824C4×D43—42no—
825C4×D43—42no—
826C4×D43—42no—
827C4×D43—42no—
828C4×D43—81no—
829C4×D43—81no—
830C4×D43H(5,𝔽2)12yes—
831C4×D43H(5,𝔽2)12yes—
832Dic86—22no—
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#60828—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—41no—
873C2×D43—41no—
874C2×D43—41no—
875C2×D43—41no—
876C2×D43—41no—
877C2×D43—41no—
878C2×D43—162no—
879C2×D43#53512yes—
880C4×C43—21no—
881C4×C43—21no—
882C4×C43—21no—
883C4×C43—21no—
884C4×C43—21no—
885C4×C43—41no—
886C4×C43—41no—
887C4×C43—41no—
888C4×C43—41no—
889C4×C43—41no—
890C4×C43—41no—
891C4×C43C2×H(5,𝔽2)11yescharacteristic
892C4×C43C2×H(5,𝔽2)11yescharacteristic
893Dic43—21no—
894Dic43—21no—
895Dic43—21no—
896Dic43—21no—
897Dic43—21no—
898Dic43—41no—
899Dic43—41no—
900Dic43—41no—
901Dic43—41no—
902Dic43—41no—
903Dic43—41no—
904Dic43#53512yes—
905#3510—431no—
906#3499—431no—
907#3225—431no—
908#3225—431no—
909#3225—431no—
910#3225—431no—
911#3225—431no—
912#3225—431no—
913#3225—431no—
914#3225D4311yescharacteristic, complemented
915#3219—431no—
916#3219—431no—
917#3219—431no—
918#3219—431no—
919#3218—431no—
920#3218—431no—
921#3218—431no—
922#3218—431no—
923#3153—431no—
924C2×#497—431no—
925#3139—431no—
926#3135—431no—
927#3044—431no—
928#3044—431no—
929#3042—431no—
930#3042—431no—
931#3011—431no—
932#3011—431no—
933#3010—431no—
934#3010—431no—
935#2923—431no—
936C2×C43—41no—
937C2×C43—81no—
938C2×C43—81no—
939C2×C43C2×#53511yescharacteristic
940C2×C43#358611yescharacteristic
941C2×C43#358611yescharacteristic
942D43—22no—
943D43—41no—
944D43—81no—
945D43—81no—
946C2×2−1+4—431no—
947C2×2−1+4—431no—
948C2×#137—431no—
949C2×#137—431no—
950C2×AGL(1,ℤ/8)—431no—
951C2×AGL(1,ℤ/8)—431no—
952C22×Q16—431no—
953C22×Q16—431no—
954C22×SD16—431no—
955C22×SD16—431no—
956#559—861no—
957#559—861no—
958#556—861no—
959#556—861no—
960#551—861no—
961#551—861no—
962#551—861no—
963#551—861no—
964D4×Q8—861no—
965D4×Q8—861no—
966#547—861no—
967#547—861no—
968#547—861no—
969#547—861no—
970#547—861no—
971#547—861no—
972#542—431no—
973#542—431no—
974#542—431no—
975#542C2×D4311yescharacteristic
976#536—431no—
977#536—431no—
978#536—431no—
979#536—431no—
980#536—431no—
981#536—431no—
982#536C2×D4311yescharacteristic, complemented
983#535—431no—
984#533—431no—
985#532—431no—
986#532—431no—
987#532—431no—
988C2×C4⋊Q8—431no—
989C2×C4⋊Q8—431no—
990C2×C4⋊Q8—431no—
991#529—431no—
992#529—431no—
993#529—431no—
994#529—431no—
995C2×#124—431no—
996#519—431no—
997#518—431no—
998C4×#41—431no—
999#497—431no—
1000#497—431no—
1001#497—431no—
1002#497—431no—
1003#497—431no—
1004#497—431no—
1005#497—431no—
1006#497—431no—
1007#497—431no—
1008#497C2×D4311yescharacteristic
1009#496—431no—
1010#496—431no—
1011#495—431no—
1012#495—431no—
1013#495—431no—
1014#495C2×D4311yescharacteristic
1015#491—431no—
1016#491—431no—
1017#491—431no—
1018#491—431no—
1019#491—431no—
1020#491—431no—
1021#490—431no—
1022#490—431no—
1023#489—431no—
1024#489—431no—
1025#489—431no—
1026#489C2×D4311yescharacteristic, complemented
1027#487—431no—
1028#487—431no—
1029#487—431no—
1030#487C2×D4311yescharacteristic, complemented
1031#464—431no—
1032#464—431no—
1033#464—431no—
1034#464—431no—
1035#464—431no—
1036#464—431no—
1037#464—431no—
1038#464C2×D4311yescharacteristic, complemented
1039#463—431no—
1040#463—431no—
1041#463—431no—
1042#463—431no—
1043#463—431no—
1044#463—431no—
1045#463—431no—
1046#463C2×D4311yescharacteristic
1047#462—431no—
1048#462—431no—
1049#462—431no—
1050#462—431no—
1051#462—431no—
1052#462—431no—
1053#462—431no—
1054#462C2×D4311yescharacteristic, complemented
1055#461—431no—
1056#461—431no—
1057#461—431no—
1058#461—431no—
1059#461—431no—
1060#461—431no—
1061#461—431no—
1062#461C2×D4311yescharacteristic
1063#452—431no—
1064#452—431no—
1065#452—431no—
1066#452—431no—
1067#452—431no—
1068#452—431no—
1069#452—431no—
1070#452C2×D4311yescharacteristic, complemented
1071#451—431no—
1072#451—431no—
1073#451—431no—
1074#451—431no—
1075#451—431no—
1076#451—431no—
1077#451—431no—
1078#451C2×D4311yescharacteristic, complemented
1079#449—431no—
1080#449—431no—
1081#449—431no—
1082#449—431no—
1083#449—431no—
1084#449—431no—
1085#449—431no—
1086#449C2×D4311yescharacteristic
1087#448—431no—
1088#448—431no—
1089#448—431no—
1090#448—431no—
1091#448—431no—
1092#448—431no—
1093#448—431no—
1094#448C2×D4311yescharacteristic
1095#433—431no—
1096#433—431no—
1097#433—431no—
1098#433C2×D4311yescharacteristic, complemented
1099#432—431no—
1100#432—431no—
1101#432—431no—
1102#432—431no—
1103#424—431no—
1104#424—431no—
1105#419—431no—
1106#419—431no—
1107#419—431no—
1108#419—431no—
1109#416—431no—
1110#416—431no—
1111#416—431no—
1112#416—431no—
1113#408—431no—
1114#408—431no—
1115C4×M16—431no—
1116C2×#97—431no—
1117C43#6082811yescharacteristic, complemented, Sylow
11182−1+4—1722no—
11192−1+4—1722no—
11202−1+4—1722no—
11212−1+4—1722no—
1122C2×#41—431no—
1123C2×#41—431no—
1124C2×#41—431no—
1125C2×#41—431no—
1126C2×#41—431no—
1127C2×#41—431no—
1128C2×#41—861no—
1129C2×#41—861no—
1130C2×#41—861no—
1131C2×#41—861no—
1132C2×#41—861no—
1133C2×#41—861no—
1134C2×#41C22×D4311yescharacteristic
1135C22×Q8—431no—
1136C22×Q8—431no—
1137C22×Q8—431no—
1138C22×Q8—431no—
1139C22×Q8—431no—
1140C22×Q8—431no—
1141C22×Q8—861no—
1142C22×Q8—861no—
1143C22×Q8C22×D4311yescharacteristic
1144C22×D4—431no—
1145#137—1722no—
1146#137—1722no—
1147AGL(1,ℤ/8)—1722no—
1148AGL(1,ℤ/8)—1722no—
1149C2×Q16—431no—
1150C2×Q16—431no—
1151C2×Q16—431no—
1152C2×Q16—431no—
1153C2×Q16—431no—
1154C2×Q16—431no—
1155C2×Q16—431no—
1156C2×Q16—431no—
1157C2×Q16—431no—
1158C2×Q16—1722no—
1159C2×Q16—1722no—
1160C2×Q16C22×D4311yescharacteristic
1161C2×Q16C22×D4311yescharacteristic
1162C2×Q16C22×D4311yescharacteristic
1163C2×SD16—431no—
1164C2×SD16—431no—
1165C2×SD16—431no—
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—1722no—
1176C2×SD16—1722no—
1177C2×SD16C22×D4311yescharacteristic
1178C2×SD16C22×D4311yescharacteristic
1179C2×SD16C22×D4311yescharacteristic
1180C2×SD16C22×D4311yescharacteristic
1181C2×D8—431no—
1182C2×D8—431no—
1183C2×D8—431no—
1184C2×D8C22×D4311yescharacteristic
1185C2×M16—431no—
1186C2×M16—431no—
1187C22×C8—431no—
1188C22×C8—431no—
1189C4⋊Q8—431no—
1190C4⋊Q8—431no—
1191C4⋊Q8—431no—
1192C4⋊Q8—431no—
1193C4⋊Q8—431no—
1194C4⋊Q8—431no—
1195C4⋊Q8—431no—
1196C4⋊Q8—431no—
1197C4⋊Q8—861no—
1198C4⋊Q8—861no—
1199C4⋊Q8—861no—
1200C4⋊Q8—861no—
1201C4⋊Q8—861no—
1202C4⋊Q8—861no—
1203C4⋊Q8—861no—
1204C4⋊Q8C22×D4311yescharacteristic
1205C4⋊Q8C22×D4311yescharacteristic
1206C4⋊Q8C22×D4311yescharacteristic
1207#127—431no—
1208#127—861no—
1209#126—21no—
1210#126—861no—
1211#126—861no—
1212#126—861no—
1213#126—861no—
1214#126—861no—
1215#126—861no—
1216#126—861no—
1217#125—431no—
1218#125—431no—
1219#124—21no—
1220#124—431no—
1221#124—431no—
1222#124—431no—
1223#124—431no—
1224#124—431no—
1225#124—431no—
1226#124—431no—
1227#124—861no—
1228#124—861no—
1229#124—861no—
1230#124—861no—
1231#124—861no—
1232#124—861no—
1233#124—861no—
1234#124C22×D4311yescharacteristic
1235#124C22×D4311yescharacteristic
1236#124C22×D4311yescharacteristic
1237#123—21no—
1238#123—21no—
1239#123—21no—
1240#123—861no—
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—
1259C22⋊Q8—21no—
1260C22⋊Q8—21no—
1261C22⋊Q8—21no—
1262C22⋊Q8—431no—
1263C22⋊Q8—431no—
1264C22⋊Q8—431no—
1265C22⋊Q8—861no—
1266C22⋊Q8—861no—
1267C22⋊Q8—861no—
1268C22⋊Q8—861no—
1269C22⋊Q8—861no—
1270C22⋊Q8—861no—
1271C22⋊Q8—861no—
1272C22⋊Q8—861no—
1273C22⋊Q8—861no—
1274C22⋊Q8—861no—
1275C22⋊Q8—861no—
1276C22⋊Q8—861no—
1277C22⋊Q8—861no—
1278C22⋊Q8—861no—
1279C22⋊Q8—861no—
1280C22⋊Q8C22×D4311yescharacteristic
1281#121—431no—
1282#121—431no—
1283#121—431no—
1284#121—861no—
1285#121—861no—
1286#121—861no—
1287#121—861no—
1288#121—861no—
1289#121—861no—
1290#121C22×D4311yescharacteristic
1291#120—861no—
1292#120—861no—
1293C4×Q8—431no—
1294C4×Q8—431no—
1295C4×Q8—431no—
1296C4×Q8—431no—
1297C4×Q8—431no—
1298C4×Q8—861no—
1299C4×Q8—861no—
1300C4×Q8—861no—
1301C4×Q8—861no—
1302C4×Q8C22×D4311yescharacteristic
1303C4×D4—431no—
1304C4×D4—431no—
1305C4×D4—431no—
1306C4×D4—431no—
1307C4×D4—431no—
1308C4×D4—431no—
1309C4×D4—431no—
1310C4×D4—431no—
1311C4×D4—431no—
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×D4—861no—
1322C4×D4—861no—
1323C4×D4—861no—
1324C4×D4C22×D4311yescharacteristic
1325#117—431no—
1326#117—431no—
1327#117—431no—
1328#117—431no—
1329#117—861no—
1330#117—861no—
1331#117—861no—
1332#117—861no—
1333#117—861no—
1334#117—861no—
1335#117C22×D4311yescharacteristic
1336C2×C4⋊C4—861no—
1337C2×C4⋊C4—861no—
1338C2×C4⋊C4—861no—
1339C2×C4⋊C4—861no—
1340C2×C4⋊C4—861no—
1341C2×C4⋊C4—861no—
1342C2×C22⋊C4—861no—
1343C2×C22⋊C4—861no—
1344C2×C22⋊C4—861no—
1345C2×C22⋊C4—861no—
1346C2×C42—431no—
1347C2×C42—431no—
1348C2×C42—431no—
1349C4⋊C8—431no—
1350C4⋊C8—431no—
1351C4⋊C8—431no—
1352C4⋊C8—431no—
1353C4⋊C8—431no—
1354C4⋊C8—431no—
1355C4⋊C8C22×D4311yescharacteristic
1356C4⋊C8C22×D4311yescharacteristic
1357#103—431no—
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#103C22×D4311yescharacteristic
1376#103C22×D4311yescharacteristic
1377#103C22×D4311yescharacteristic
1378#103C22×D4311yescharacteristic
1379#103C22×D4311yescharacteristic
1380#103C22×D4311yescharacteristic
1381#102—431no—
1382#102—431no—
1383#102—431no—
1384#102—431no—
1385#102—431no—
1386#102—431no—
1387#102C22×D4311yescharacteristic
1388#102C22×D4311yescharacteristic
1389C22⋊C8—431no—
1390C22⋊C8—431no—
1391C22⋊C8—431no—
1392C22⋊C8—431no—
1393C22⋊C8—431no—
1394C22⋊C8—431no—
1395C22⋊C8C22×D4311yescharacteristic
1396C22⋊C8C22×D4311yescharacteristic
1397#97—431no—
1398#97—431no—
1399#97—431no—
1400#97—431no—
1401#97—431no—
1402#97C22×D4311yescharacteristic
1403C4×C8—431no—
1404C4×C8C22×D4311yescharacteristic
1405C24—861no—
1406#41—41no—
1407#41—41no—
1408#41—862no—
1409#41—862no—
1410#41—862no—
1411#41—862no—
1412#41—862no—
1413#41—862no—
1414#41—1721no—
1415#41—1721no—
1416#41—1724no—
1417#41—1724no—
1418#41—1724no—
1419#41—1721no—
1420#41—1721no—
1421#41—1721no—
1422#41—1721no—
1423#41—1724no—
1424#41—1724no—
1425#41—1724no—
1426C2×Q8—21no—
1427C2×Q8—21no—
1428C2×Q8—41no—
1429C2×Q8—41no—
1430C2×Q8—431no—
1431C2×Q8—431no—
1432C2×Q8—431no—
1433C2×Q8—431no—
1434C2×Q8—431no—
1435C2×Q8—861no—
1436C2×Q8—861no—
1437C2×Q8—861no—
1438C2×Q8—861no—
1439C2×Q8—861no—
1440C2×Q8—862no—
1441C2×Q8—862no—
1442C2×Q8—862no—
1443C2×Q8—862no—
1444C2×Q8—862no—
1445C2×Q8—862no—
1446C2×Q8—861no—
1447C2×Q8—861no—
1448C2×Q8—1721no—
1449C2×Q8—1721no—
1450C2×Q8—1724no—
1451C2×Q8—1721no—
1452C2×Q8—1721no—
1453C2×Q8—1721no—
1454C2×Q8—1721no—
1455C2×Q8—1724no—
1456C2×Q8C23×D4311yescharacteristic
1457C2×Q8C23×D4311yescharacteristic
1458C2×Q8C23×D4311yescharacteristic
1459C2×Q8C23×D4311yescharacteristic
1460C2×D4—21no—
1461C2×D4—21no—
1462C2×D4—431no—
1463C2×D4—431no—
1464C2×D4—431no—
1465C2×D4—431no—
1466C2×D4—431no—
1467C2×D4—861no—
1468C2×D4—861no—
1469C2×D4—861no—
1470C2×D4—862no—
1471C2×D4—862no—
1472C2×D4—861no—
1473C2×D4—861no—
1474C2×D4—861no—
1475C2×D4—861no—
1476C2×D4—861no—
1477C2×D4—861no—
1478C2×D4—861no—
1479C2×D4—861no—
1480C2×D4C23×D4311yescharacteristic
1481C2×D4C23×D4311yescharacteristic
1482C22×C4—21no—
1483C22×C4—21no—
1484C22×C4—21no—
1485C22×C4—431no—
1486C22×C4—431no—
1487C22×C4—431no—
1488C22×C4—431no—
1489C22×C4—431no—
1490C22×C4—431no—
1491C22×C4—431no—
1492C22×C4—431no—
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—861no—
1505C22×C4—861no—
1506C22×C4—861no—
1507C22×C4C23×D4311yescharacteristic
1508Q16—41no—
1509Q16—41no—
1510Q16—41no—
1511Q16—1721no—
1512Q16—1721no—
1513Q16—1721no—
1514Q16—1721no—
1515Q16—1721no—
1516Q16—1721no—
1517Q16—1721no—
1518Q16—1721no—
1519Q16—1721no—
1520SD16—41no—
1521SD16—41no—
1522SD16—41no—
1523SD16—41no—
1524SD16—1721no—
1525SD16—1721no—
1526SD16—1721no—
1527SD16—1721no—
1528SD16—1721no—
1529SD16—1721no—
1530SD16—1721no—
1531SD16—1721no—
1532SD16—1721no—
1533SD16—1721no—
1534SD16—1721no—
1535SD16—1721no—
1536D8—41no—
1537D8—1721no—
1538D8—1721no—
1539D8—1721no—
1540M16—862no—
1541M16—862no—
1542C2×C8—431no—
1543C2×C8—431no—
1544C2×C8—431no—
1545C2×C8—431no—
1546C2×C8—862no—
1547C2×C8—862no—
1548C2×C8C23×D4311yescharacteristic
1549C2×C8C23×D4311yescharacteristic
1550C2×C8C23×D4311yescharacteristic
1551C2×C8C23×D4311yescharacteristic
1552C4⋊C4—21no—
1553C4⋊C4—21no—
1554C4⋊C4—21no—
1555C4⋊C4—21no—
1556C4⋊C4—21no—
1557C4⋊C4—21no—
1558C4⋊C4—21no—
1559C4⋊C4—431no—
1560C4⋊C4—431no—
1561C4⋊C4—431no—
1562C4⋊C4—431no—
1563C4⋊C4—431no—
1564C4⋊C4—431no—
1565C4⋊C4—861no—
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⋊C4D4×D4311yescharacteristic
1591C4⋊C4D4×D4311yescharacteristic
1592C4⋊C4C23×D4311yescharacteristic
1593C4⋊C4C23×D4311yescharacteristic
1594C22⋊C4—21no—
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—431no—
1604C22⋊C4—431no—
1605C22⋊C4—431no—
1606C22⋊C4—431no—
1607C22⋊C4—861no—
1608C22⋊C4—861no—
1609C22⋊C4—861no—
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⋊C4D4×D4311yescharacteristic
1633C22⋊C4D4×D4311yescharacteristic
1634C42—21no—
1635C42—431no—
1636C42—431no—
1637C42—431no—
1638C42—431no—
1639C42—431no—
1640C42—431no—
1641C42—431no—
1642C42—431no—
1643C42—861no—
1644C42—861no—
1645C42—861no—
1646C42—861no—
1647C42—861no—
1648C42C23×D4311yescharacteristic
1649C42C23×D4311yescharacteristic
1650C23—21no—
1651C23—21no—
1652C23—431no—
1653C23—431no—
1654C23—861no—
1655C23—861no—
1656C23—3441no—
1657C23—3441no—
1658C23—1722no—
1659C23C2×D4×D4311yescharacteristic
1660Q8—21no—
1661Q8—21no—
1662Q8—21no—
1663Q8—21no—
1664Q8—21no—
1665Q8—21no—
1666Q8—21no—
1667Q8—21no—
1668Q8—42no—
1669Q8—81no—
1670Q8—862no—
1671Q8—861no—
1672Q8—861no—
1673Q8—861no—
1674Q8—861no—
1675Q8—861no—
1676Q8—861no—
1677Q8—861no—
1678Q8—861no—
1679Q8—3441no—
1680Q8—1722no—
1681Q8—1722no—
1682Q8—1722no—
1683Q8—1722no—
1684Q8—1722no—
1685Q8—1722no—
1686D4—21no—
1687D4—21no—
1688D4—21no—
1689D4—21no—
1690D4—42no—
1691D4—81no—
1692D4—862no—
1693D4—862no—
1694D4—862no—
1695D4—861no—
1696D4—861no—
1697D4—861no—
1698D4—861no—
1699D4—3441no—
1700D4—3441no—
1701D4—3441no—
1702D4—1722no—
1703D4—1722no—
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—861no—
1730C2×C4—861no—
1731C2×C4—861no—
1732C2×C4—861no—
1733C2×C4—861no—
1734C2×C4—861no—
1735C2×C4—861no—
1736C2×C4—861no—
1737C2×C4—3441no—
1738C2×C4—3441no—
1739C2×C4—3441no—
1740C2×C4—1721no—
1741C2×C4—1721no—
1742C2×C4—1721no—
1743C2×C4—1721no—
1744C2×C4—1722no—
1745C2×C4—1722no—
1746C2×C4—1722no—
1747C2×C4—1722no—
1748C2×C4—1722no—
1749C2×C4—1722no—
1750C2×C4—1722no—
1751C2×C4—1722no—
1752C2×C4—1722no—
1753C2×C4—1721no—
1754C2×C4—1721no—
1755C2×C4—1722no—
1756C2×C4—1722no—
1757C2×C4C2×D4×D4311yescharacteristic
1758C2×C4C2×D4×D4311yescharacteristic
1759C2×C4C2×D4×D4311yescharacteristic
1760C2×C4C2×D4×D4311yescharacteristic
1761C2×C4C2×D4×D4311yescharacteristic
1762C2×C4C24×D4311yescharacteristic
1763C8—21no—
1764C8—21no—
1765C8—21no—
1766C8—21no—
1767C8—861no—
1768C8—861no—
1769C8—861no—
1770C8—861no—
1771C22—21no—
1772C22—21no—
1773C22—21no—
1774C22—41no—
1775C22—41no—
1776C22—41no—
1777C22—41no—
1778C22—41no—
1779C22—41no—
1780C22—432no—
1781C22—861no—
1782C22—861no—
1783C22—861no—
1784C22—861no—
1785C22—861no—
1786C22—1721no—
1787C22—1721no—
1788C22—1721no—
1789C22—1721no—
1790C22—1721no—
1791C22—1721no—
1792C22—6882no—
1793C22C22×D4×D4311yescharacteristic
1794C4—21no—
1795C4—21no—
1796C4—21no—
1797C4—21no—
1798C4—21no—
1799C4—41no—
1800C4—41no—
1801C4—41no—
1802C4—41no—
1803C4—41no—
1804C4—41no—
1805C4—432no—
1806C4—861no—
1807C4—861no—
1808C4—861no—
1809C4—861no—
1810C4—861no—
1811C4—1721no—
1812C4—1721no—
1813C4—1721no—
1814C4—1721no—
1815C4—1721no—
1816C4—1721no—
1817C4H(5,𝔽2)×D4311yescharacteristic
1818C4H(5,𝔽2)×D4311yescharacteristic
1819C2—41no—
1820C2—81no—
1821C2—81no—
1822C2—862no—
1823C2—3441no—
1824C2—3441no—
1825C2—1721no—
1826C2#535×D4311yescharacteristic
1827C2#1914937711yescharacteristic
1828C2#1914938011yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3225C2
socleC22×C43C23×D4
hypercenter#3225D43
hypocenterC43#60828
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. #19148487C2semidirect
2. #19148377C2semidirect
3. #19145707C2semidirect
4. #19145706C2semidirect
5. #19145705C2semidirect
6. #19145704C2semidirect
7. #19145699C2semidirect
8. #19145698C2semidirect
9. #19145697C2semidirect
10. #19145637C2semidirect
11. #19145636C2semidirect
12. #19145631C2semidirect
13. #19145630C2semidirect
14. #19145626C2semidirect
15. #19145625C2semidirect
16. #19145621C2semidirect
17. #19145620C2semidirect
18. #19145056C2semidirect
19. #497×D43C2semidirect
20. #19144972C2semidirect
21. #19144937C2semidirect
22. #19144123C2semidirect
23. #19144120C2semidirect
24. #19144105C2semidirect
25. #19144102C2semidirect
26. #19143887C2semidirect
27. #19143885C2semidirect
28. #19143878C2semidirect
29. #19143876C2semidirect
30. #19143243C2semidirect
31. C43×#3225C2semidirect
61. #14583475C22semidirect
63. #14583474C22semidirect
66. #14583469C22semidirect
70. #14583448C22semidirect
71. #14583445C22semidirect
72. C2×#13063323C22semidirect
74. C4⋊Q8×D43C22semidirect
97. #14583266C22semidirect
98. #14583266C22semidirect
99. #14583266C22semidirect
100. #14583266C22semidirect
101. #14583266C22semidirect
102. #14583266C22semidirect
103. #14583262C22semidirect
104. #14583262C22semidirect
105. #14583261C22semidirect
106. #14583259C22semidirect
107. #14583258C22semidirect
108. #14583251C22semidirect
109. #14583250C22semidirect
110. #14583249C22semidirect
111. #14583124C22semidirect
112. #14583123C22semidirect
113. #14583122C22semidirect
114. #14583121C22semidirect
115. #14583120C22semidirect
116. #14583119C22semidirect
117. #14583118C22semidirect
125. #14583110C22semidirect
126. #14583109C22semidirect
127. #14583108C22semidirect
128. #14583108C22semidirect
129. #14583107C22semidirect
130. #14583107C22semidirect
131. #14583106C22semidirect
139. #14583064C22semidirect
140. #14583063C22semidirect
141. #14583062C22semidirect
142. #14583061C22semidirect
143. #14583060C22semidirect
144. #14583059C22semidirect
145. #14583058C22semidirect
146. #14583057C22semidirect
147. #14583056C22semidirect
148. #14583056C22semidirect
149. #14583055C22semidirect
150. #14583054C22semidirect
151. #14583053C22semidirect
152. #14583053C22semidirect
167. #14582961C22semidirect
168. #14582960C22semidirect
169. #14582958C22semidirect
170. #14582955C22semidirect
171. #14582955C22semidirect
172. #14582953C22semidirect
173. #14582953C22semidirect
189. C43×#536C22semidirect
192. C43×#489C22semidirect
193. C43×#487C22semidirect
194. C43×#464C22semidirect
196. C43×#462C22semidirect
198. C43×#452C22semidirect
199. C43×#451C22semidirect
202. C43×#433C22semidirect
914. #3225D43semidirect
982. #536C2×D43semidirect
1026. #489C2×D43semidirect
1030. #487C2×D43semidirect
1038. #464C2×D43semidirect
1054. #462C2×D43semidirect
1070. #452C2×D43semidirect
1078. #451C2×D43semidirect
1098. #433C2×D43semidirect
1117. C43#60828semidirect

Maximal subgroups

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

subgroupindex
#191484872
#191483772
#191457072
#191457062
#191457052
#191457042
#191456992
#191456982
#191456972
#191456372
#191456362
#191456312
#191456302
#191456262
#191456252
#191456212
#191456202
#191450562
#497×D432
#191449722
#191449372
#191441232
#191441202
#191441052
#191441022
#191438872
#191438852
#191438782
#191438762
#191432432
C43×#32252
#6082843