Finite Group Databasebeta

← #25983179

Subgroups — #25983179

Order 11008.

2032 conjugacy classes of subgroups.

The subgroup lattice has 1850 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19148882C211yesmaximal, characteristic, complemented
2#19148274C211yesmaximal, characteristic, complemented
3#19146909C211yesmaximal, characteristic, complemented
4#19146874C211yesmaximal, characteristic, complemented
5#19146810C211yesmaximal, characteristic, complemented
6#19146707C211yesmaximal, characteristic, complemented
7#19146643C211yesmaximal, characteristic, complemented
8#19146629C211yesmaximal, characteristic, complemented
9#19146565C211yesmaximal, characteristic, complemented
10#19146245C211yesmaximal, characteristic, complemented
11#19146243C211yesmaximal, characteristic, complemented
12#19146242C211yesmaximal, characteristic, complemented
13#19146233C211yesmaximal, characteristic, complemented
14#19146161C211yesmaximal, characteristic, complemented
15#19146158C211yesmaximal, characteristic, complemented
16#19146157C211yesmaximal, characteristic, complemented
17#19146115C211yesmaximal, characteristic, complemented
18#19145701C211yesmaximal, characteristic, complemented
19#19145681C211yesmaximal, characteristic, complemented
20#19145506C211yesmaximal, characteristic, complemented
21#19145475C211yesmaximal, characteristic, complemented
22#19145420C211yesmaximal, characteristic, complemented
23#19145418C211yesmaximal, characteristic, complemented
24#19144878C211yesmaximal, characteristic, complemented
25#19144816C211yesmaximal, characteristic, complemented
26#19143905C211yesmaximal, characteristic, complemented
27#19143891C211yesmaximal, characteristic, complemented
28#19143856C211yesmaximal, characteristic, complemented
29#19143833C211yesmaximal, characteristic, complemented
30#19143652C211yesmaximal, characteristic, complemented
31C43×#3326C211yesmaximal, characteristic, complemented
32C2×#13063373C2211yescharacteristic
33C2×#41×D43C2211yescharacteristic
34C2×#13063358C2211yescharacteristic
35C2×#13063358C2211yescharacteristic, complemented
36C2×#13063355C2211yescharacteristic
37C2×#13063354C2211yescharacteristic
38C2×#13063354C2211yescharacteristic, complemented
39C2×#13063349C2211yescharacteristic
40C2×#13063346C2211yescharacteristic, complemented
41C22×#10621885C2211yescharacteristic, complemented
42#14583651—21no—
43#14583646—21no—
44#14583617C2211yescharacteristic
45#14583606—21no—
46#14583604C2211yescharacteristic, complemented
47#14583601—21no—
48#14583587C2211yescharacteristic
49Q8×D172C2211yescharacteristic
50D4×Dic86C2211yescharacteristic, complemented
51Q8×C22⋊D43C2211yescharacteristic
52#14583556C2211yescharacteristic
53#14583555C2211yescharacteristic
54#14583555C2211yescharacteristic, complemented
55#14583554—21no—
56#14583554C2211yescharacteristic
57#14583553C2211yescharacteristic
58#14583551—21no—
59#14583551C2211yescharacteristic
60#14583546—21no—
61#14583546C2211yescharacteristic
62#14583542—21no—
63#14583542C2211yescharacteristic
64#14583515—21no—
65#14583514C2211yescharacteristic, complemented
66#14583512C2211yescharacteristic, complemented
67#14583493—21no—
68#14583486—21no—
69#14583482—21no—
70#14583478—21no—
71#14583478C2211yescharacteristic
72#14583478C2211yescharacteristic, complemented
73#14583475C2211yescharacteristic, complemented
74#14583469—21no—
75#14583469C2211yescharacteristic
76#14583409C2211yescharacteristic
77#14583408—21no—
78#14583408C2211yescharacteristic
79C2×#13063305C2211yescharacteristic
80C22⋊Q8×D43—21no—
81C22⋊Q8×D43C2211yescharacteristic
82#14583381C2211yescharacteristic
83#14583294C2211yescharacteristic, complemented
84#14583290C2211yescharacteristic, complemented
85#14583282C2211yescharacteristic, complemented
86#14583279C2211yescharacteristic, complemented
87#14583269C2211yescharacteristic, complemented
88#14583257C2211yescharacteristic, complemented
89#14583248C2211yescharacteristic, complemented
90#14583242C2211yescharacteristic
91#14583240C2211yescharacteristic, complemented
92#14583238C2211yescharacteristic
93#14583236C2211yescharacteristic, complemented
94#14583231C2211yescharacteristic, complemented
95#14583231C2211yescharacteristic, complemented
96#14583231C2211yescharacteristic, complemented
97#14583229C2211yescharacteristic, complemented
98#14583216C2211yescharacteristic, complemented
99#14583216C2211yescharacteristic, complemented
100#14583196C2211yescharacteristic, complemented
101#14583188C2211yescharacteristic, complemented
102#14583182C2211yescharacteristic, complemented
103#14583158C2211yescharacteristic
104#14583158C2211yescharacteristic
105#14583158C2211yescharacteristic, complemented
106#14583157C2211yescharacteristic, complemented
107#14583157C2211yescharacteristic, complemented
108#14583156C2211yescharacteristic
109#14583156C2211yescharacteristic
110#14583155C2211yescharacteristic, complemented
111#14583144C2211yescharacteristic, complemented
112#14583143C2211yescharacteristic, complemented
113#14583141C2211yescharacteristic, complemented
114#14583127C2211yescharacteristic, complemented
115#14583126C2211yescharacteristic, complemented
116#14583126C2211yescharacteristic, complemented
117#14583120C2211yescharacteristic, complemented
118#14583120C2211yescharacteristic, complemented
119#14583119C2211yescharacteristic, complemented
120#14583118C2211yescharacteristic, complemented
121#14583113C2211yescharacteristic, complemented
122#14583110C2211yescharacteristic, complemented
123#14583109C2211yescharacteristic, complemented
124#14583108C2211yescharacteristic, complemented
125#14583108C2211yescharacteristic, complemented
126#14583105C2211yescharacteristic, complemented
127#14583104C2211yescharacteristic, complemented
128#14583064C2211yescharacteristic
129#14583064C2211yescharacteristic
130#14583064C2211yescharacteristic
131#14583064C2211yescharacteristic, complemented
132#14583064C2211yescharacteristic, complemented
133#14583063C2211yescharacteristic
134#14583063C2211yescharacteristic, complemented
135#14583062C2211yescharacteristic
136#14583062C2211yescharacteristic
137#14583062C2211yescharacteristic
138#14583062C2211yescharacteristic
139#14583062C2211yescharacteristic, complemented
140#14583061C2211yescharacteristic
141#14583058C2211yescharacteristic
142#14583057C2211yescharacteristic, complemented
143#14583057C2211yescharacteristic, complemented
144#14583056C2211yescharacteristic
145#14583056C2211yescharacteristic
146#14583056C2211yescharacteristic, complemented
147#14583056C2211yescharacteristic, complemented
148#14583056C2211yescharacteristic, complemented
149#14583056C2211yescharacteristic, complemented
150#14583056C2211yescharacteristic, complemented
151#14583055C2211yescharacteristic, complemented
152#14583054C2211yescharacteristic, complemented
153#14583051C2211yescharacteristic
154#14583051C2211yescharacteristic
155#14583043C2211yescharacteristic
156#14583042C2211yescharacteristic
157#14583042C2211yescharacteristic, complemented
158#14583041C2211yescharacteristic
159#14583041C2211yescharacteristic, complemented
160#14583037C2211yescharacteristic, complemented
161#14583036C2211yescharacteristic, complemented
162#14583009C2211yescharacteristic, complemented
163#14583004C2211yescharacteristic, complemented
164#14583003C2211yescharacteristic, complemented
165#14582998C2211yescharacteristic, complemented
166#14582991C2211yescharacteristic, complemented
167C4×#10621873C2211yescharacteristic, complemented
168#14582986C2211yescharacteristic, complemented
169#14582978C2211yescharacteristic
170#14582975C2211yescharacteristic
171#14582974C2211yescharacteristic, complemented
172#14582971C2211yescharacteristic, complemented
173#14582969C2211yescharacteristic
174#14582968C2211yescharacteristic, complemented
175#14582967C2211yescharacteristic
176#14582959C2211yescharacteristic, complemented
177#14582958C2211yescharacteristic, complemented
178#14582906C2211yescharacteristic
179#14582902C2211yescharacteristic
180#14582899C2211yescharacteristic, complemented
181#14582898C2211yescharacteristic
182#14582893C2211yescharacteristic, complemented
183#103×D43C2211yescharacteristic, complemented
184#14582867C2211yescharacteristic, complemented
185#14582864C2211yescharacteristic, complemented
186#14582862C2211yescharacteristic
187#14582861C2211yescharacteristic
188C43×#553C2211yescharacteristic, complemented
189C43×#548C2211yescharacteristic
190C43×#488C2211yescharacteristic, complemented
191C43×#483C2211yescharacteristic, complemented
192C43×#482C2211yescharacteristic, complemented
193C43×#479C2211yescharacteristic, complemented
194C43×#469C2211yescharacteristic, complemented
195C43×#468C2211yescharacteristic, complemented
196C43×#463C2211yescharacteristic, complemented
197C43×#449C2211yescharacteristic
198C43×#448C2211yescharacteristic, complemented
199C4×SD16×C43C2211yescharacteristic, complemented
200C43×#436C2211yescharacteristic, complemented
201C43×#419C2211yescharacteristic, complemented
202C43×#417C2211yescharacteristic
203#13063373—42no—
204#13063373—42no—
205C2×#10621902—21no—
206C2×#10621902C2311yescharacteristic
207C2×#10621902C2311yescharacteristic
208C2×#10621898—21no—
209C2×#10621898—21no—
210C2×#10621898—21no—
211C2×#10621898C2311yescharacteristic
212C2×#10621898C2311yescharacteristic
213C2×#10621898C2311yescharacteristic
214C2×#10621900—21no—
215C2×#10621900C2311yescharacteristic
216C2×#10621900C2311yescharacteristic
217C2×#10621900C2311yescharacteristic
218#41×D43—42no—
219#41×D43—42no—
220C22×Dic86C2311yescharacteristic
221C22×Dic86C2311yescharacteristic
222C2×Q8×D43—21no—
223C2×Q8×D43C2311yescharacteristic
224C2×Q8×D43C2311yescharacteristic
225C2×Q8×D43C2311yescharacteristic
226C2×D4×D43—21no—
227C2×D4×D43C2311yescharacteristic
228C22×C4×D43—21no—
229C22×C4×D43C2311yescharacteristic
230#13063358—42no—
231#13063358—42no—
232#13063355—42no—
233#13063354—42no—
234#13063354—42no—
235#13063349—42no—
236#13063346—42no—
237C2×Dic172C2311yescharacteristic
238C2×Dic172C2311yescharacteristic
239C2×Dic172C2311yescharacteristic
240C2×Dic172C2311yescharacteristic
241C2×Dic172C2311yescharacteristic
242C2×Dic172C2311yescharacteristic
243C2×#10621885—42no—
244C2×#10621885C2311yescharacteristic
245C2×#10621885C2311yescharacteristic
246C2×#10621885C2311yescharacteristic
247C2×#10621885C2311yescharacteristic
248C2×#10621885C2311yescharacteristic
249C2×#10621885C2311yescharacteristic
250C2×#10621873C2311yescharacteristic
251C2×#10621873C2311yescharacteristic
252C2×#10621873C2311yescharacteristic
253C2×#10621883C2311yescharacteristic
254C2×#10621883C2311yescharacteristic
255C2×#10621883C2311yescharacteristic
256C2×#10621883C2311yescharacteristic
257C2×#10621883C2311yescharacteristic
258C2×#10621882C2311yescharacteristic
259C2×#10621877C2311yescharacteristic
260C2×#10621872C2311yescharacteristic
261C2×#10621872C2311yescharacteristic
262C2×#10621872C2311yescharacteristic
263C22×C43⋊C8C2311yescharacteristic
264C2×C8×D43C2311yescharacteristic
265#13063325—21no—
266#13063325—21no—
267#13063325C2311yescharacteristic
268#13063325C2311yescharacteristic
269#13063324—21no—
270#13063324C2311yescharacteristic
271#13063323—21no—
272#13063323C2311yescharacteristic
273#13063320—21no—
274#13063320—21no—
275#13063320—21no—
276#13063319—21no—
277#13063318—21no—
278#13063318—21no—
279#13063316—21no—
280#13063316—21no—
281#13063316—21no—
282#13063315—21no—
283#13063313—21no—
284#13063312—21no—
285#13063312C2311yescharacteristic
286#13063312C2311yescharacteristic
287#13063311—21no—
288#13063311—21no—
289#13063311—21no—
290#13063311—21no—
291#13063310—21no—
292#13063310—21no—
293#13063310D411yescharacteristic
294#13063309—21no—
295#13063309—21no—
296#13063309—21no—
297#13063309—21no—
298#13063308—21no—
299#13063307—21no—
300#13063307—21no—
301#13063307—21no—
302#13063307—21no—
303#13063307—21no—
304#13063307—21no—
305#13063307—21no—
306#13063307—21no—
307#13063307D411yescharacteristic
308#13063305—21no—
309#13063305—21no—
310#13063305—21no—
311#13063305—21no—
312#13063305C2311yescharacteristic
313#13063305C2311yescharacteristic
314#13063305C2311yescharacteristic
315#13063305C2311yescharacteristic
316#13063305C2311yescharacteristic
317#13063305C2311yescharacteristic
318#13063305C2311yescharacteristic
319#13063305C2311yescharacteristic
320#13063305C2311yescharacteristic
321#13063304—21no—
322#13063304—21no—
323#13063304—21no—
324#13063304—21no—
325#13063304C2311yescharacteristic
326#13063304C2311yescharacteristic
327#13063304C2311yescharacteristic
328#13063304C2311yescharacteristic
329#13063303—21no—
330#13063303—21no—
331#13063303D411yescharacteristic
332#13063302—21no—
333#13063302—21no—
334#13063302—21no—
335#13063302—21no—
336#13063302—21no—
337#13063302—21no—
338#13063302—21no—
339#13063302—21no—
340#13063302—21no—
341#13063302D411yescharacteristic
342#13063301—21no—
343#13063301C2311yescharacteristic
344#13063299—21no—
345#13063298—21no—
346#13063298—21no—
347#13063298—21no—
348#13063298—21no—
349#13063298D411yescharacteristic
350#13063297—21no—
351#13063297—21no—
352#13063297—21no—
353#13063297—21no—
354#13063297D411yescharacteristic
355#13063296—21no—
356#13063296—21no—
357#13063296—21no—
358#13063296—21no—
359#13063296—21no—
360#13063296C2311yescharacteristic
361#13063296C2311yescharacteristic
362#13063295—21no—
363#13063295D411yescharacteristic
364#13063293—21no—
365#13063293—21no—
366#13063293D411yescharacteristic
367Q8×Dic43C2311yescharacteristic
368C4×Dic86—21no—
369C4×Dic86C2311yescharacteristic
370#13063290C2311yescharacteristic
371#13063290C2311yescharacteristic
372C4×D172—21no—
373C4×D172—21no—
374C4×D172C2311yescharacteristic
375C4×D172C2311yescharacteristic
376D4×Dic43—21no—
377D4×Dic43—21no—
378D4×Dic43—21no—
379D4×Dic43—21no—
380#13063287—21no—
381#13063287C2311yescharacteristic
382C4×C22⋊D43—21no—
383C4×C22⋊D43—21no—
384C4×C22⋊D43—21no—
385C4×C22⋊D43C2311yescharacteristic
386C4×C22⋊D43C2311yescharacteristic
387(C22⋊D43)⋊C4—21no—
388#13063283—21no—
389#13063283C2311yescharacteristic
390#13063282—21no—
391#13063282C2311yescharacteristic
392C2×C4⋊Dic43—21no—
393C2×C4⋊Dic43—21no—
394C4⋊C4×D43—21no—
395C4⋊C4×D43—21no—
396C4⋊C4×D43—21no—
397C4⋊C4×D43—21no—
398C4⋊C4×D43C2311yescharacteristic
399C4⋊C4×D43C2311yescharacteristic
400C2×(C2×D43)⋊C4—21no—
401C22⋊C4×D43—21no—
402C22⋊C4×D43—21no—
403C22⋊C4×D43—21no—
404#13063258C2311yescharacteristic
405#13063257C2311yescharacteristic
406#13063256C2311yescharacteristic
407#13063256C2311yescharacteristic
408#13063256C2311yescharacteristic
409C4⋊(C43⋊C8)C2311yescharacteristic
410Dic43⋊C8C2311yescharacteristic
411Dic43⋊C8C2311yescharacteristic
412#13063250C2311yescharacteristic
413#13063250C2311yescharacteristic
414#13063250C2311yescharacteristic
415#13063250C2311yescharacteristic
416#13063250C2311yescharacteristic
417#13063249C2311yescharacteristic
418#13063249C2311yescharacteristic
419#13063248C2311yescharacteristic
420#13063248C2311yescharacteristic
421#13063248C2311yescharacteristic
422#13063248C2311yescharacteristic
423#13063248C2311yescharacteristic
424#13063248C2311yescharacteristic
425#13063248C2311yescharacteristic
426#13063248C2311yescharacteristic
427#13063248C2311yescharacteristic
428#13063247C2311yescharacteristic
429#13063246C2311yescharacteristic
430#13063246C2311yescharacteristic
431#13063245C2311yescharacteristic
432#13063245C2311yescharacteristic
433#13063245C2311yescharacteristic
434C22⋊(C43⋊C8)C2311yescharacteristic
435C22⋊(C43⋊C8)C2311yescharacteristic
436(C2×D43)⋊C8C2311yescharacteristic
437(C2×D43)⋊C8C2311yescharacteristic
438(C2×D43)⋊C8C2311yescharacteristic
439(C2×D43)⋊C8C2311yescharacteristic
440(C2×D43)⋊C8C2311yescharacteristic
441(C2×D43)⋊C8C2311yescharacteristic
442(C2×D43)⋊C8C2311yescharacteristic
443(C2×D43)⋊C8C2311yescharacteristic
444#13063236C2311yescharacteristic
445#13063235C2311yescharacteristic
446C8×Dic43C2311yescharacteristic
447C2×#41×C43C2311yescharacteristic
448C22×Q8×C43C2311yescharacteristic
449C2×SD16×C43C2311yescharacteristic
450C2×SD16×C43C2311yescharacteristic
451C2×D8×C43C2311yescharacteristic
452C2×M16×C43C2311yescharacteristic
453C2×M16×C43C2311yescharacteristic
454#126×C43—21no—
455#125×C43C2311yescharacteristic
456#124×C43—21no—
457#124×C43C2311yescharacteristic
458#123×C43—21no—
459C22⋊Q8×C43—21no—
460C22⋊Q8×C43C2311yescharacteristic
461#121×C43—21no—
462#121×C43—21no—
463#121×C43C2311yescharacteristic
464#121×C43C2311yescharacteristic
465#121×C43C2311yescharacteristic
466C4×Q8×C43C2311yescharacteristic
467C4×D4×C43—21no—
468C4×D4×C43—21no—
469C4×D4×C43C2311yescharacteristic
470C4×D4×C43C2311yescharacteristic
471#117×C43C2311yescharacteristic
472C2×C4⋊C4×C43C2311yescharacteristic
473#107×C43C2311yescharacteristic
474#106×C43C2311yescharacteristic
475#106×C43C2311yescharacteristic
476C4⋊C8×C43C2311yescharacteristic
477#103×C43C2311yescharacteristic
478#103×C43C2311yescharacteristic
479#103×C43C2311yescharacteristic
480#103×C43C2311yescharacteristic
481#103×C43C2311yescharacteristic
482#103×C43C2311yescharacteristic
483#102×C43C2311yescharacteristic
484#102×C43C2311yescharacteristic
485#102×C43C2311yescharacteristic
486#102×C43C2311yescharacteristic
487C22⋊C8×C43C2311yescharacteristic
488C22⋊C8×C43C2311yescharacteristic
489C4×C8×C43C2311yescharacteristic
490C23×D43—21no—
491C23×D43C2×D411yescharacteristic
492#41×C43—22no—
493#41×C43—41no—
494C2×Q8×C43—21no—
495C2×Q8×C43—22no—
496C2×Q8×C43—41no—
497C2×Q8×C43C2411yescharacteristic
498C2×Q8×C43C2411yescharacteristic
499C2×D4×C43—21no—
500C2×D4×C43—21no—
501C2×D4×C43—21no—
502C2×D4×C43—21no—
503C2×D4×C43C2×D411yescharacteristic
504C2×D4×C43C2411yescharacteristic
505C2×D4×C43C2411yescharacteristic
506C22×C4×C43—21no—
507C22×C4×C43—21no—
508C22×C4×C43—21no—
509C22×C4×C43—21no—
510C22×C4×C43C2411yescharacteristic
511C22×C4×C43C2411yescharacteristic
512C2×C22⋊D43—21no—
513C2×C22⋊D43—21no—
514C2×C22⋊D43—21no—
515C2×C22⋊D43—21no—
516C2×C22⋊D43—21no—
517C2×C22⋊D43—21no—
518C2×C22⋊D43—21no—
519C2×C22⋊D43—21no—
520C2×C22⋊D43C2×D411yescharacteristic
521C2×C22⋊D43C2×D411yescharacteristic
522C2×C22⋊D43C2×D411yescharacteristic
523C2×C22⋊D43C2×D411yescharacteristic
524C22×Dic43—21no—
525C22×Dic43—21no—
526C22×Dic43—21no—
527C22×Dic43—21no—
528C22×Dic43—21no—
529C22×Dic43C2×D411yescharacteristic
530#10621902—22no—
531#10621902—22no—
532#10621902—22no—
533#10621902—41no—
534#10621902—44no—
535Q8×D43—22no—
536Q8×D43—22no—
537Q8×D43—41no—
538Q8×D43—41no—
539Q8×D43—41no—
540Q8×D43—41no—
541Q8×D43—44no—
542#10621900—41no—
543#10621900—41no—
544#10621900—41no—
545#10621900—41no—
546#10621900—41no—
547#10621900—41no—
548#10621900—44no—
549D4×D43—22no—
550D4×D43—41no—
551D4×D43—44no—
552#10621898—22no—
553#10621898—22no—
554#10621898—41no—
555#10621898—41no—
556#10621898—41no—
557#10621898—41no—
558#10621898—44no—
559#10621898—44no—
560#10621898—44no—
561C2×D172—21no—
562C2×D172—21no—
563C2×D172C2×D411yescharacteristic
564C2×D172C2×D411yescharacteristic
565C2×D172C2411yescharacteristic
566C2×C4×D43—21no—
567C2×C4×D43—21no—
568C2×C4×D43—21no—
569C2×C4×D43—21no—
570C2×C4×D43—21no—
571C2×C4×D43—21no—
572C2×C4×D43—21no—
573C2×C4×D43—21no—
574C2×C4×D43—21no—
575C2×C4×D43—21no—
576C2×C4×D43—21no—
577C2×C4×D43—41no—
578C2×C4×D43—41no—
579C2×C4×D43—44no—
580C2×C4×D43C2×D411yescharacteristic
581C2×C4×D43C2×D411yescharacteristic
582C2×C4×D43C2411yescharacteristic
583C2×C4×D43C2411yescharacteristic
584C2×C4×D43C2411yescharacteristic
585C2×Dic86—21no—
586C2×Dic86—21no—
587C2×Dic86—21no—
588C2×Dic86—21no—
589C2×Dic86—21no—
590C2×Dic86—21no—
591C2×Dic86—41no—
592C2×Dic86—41no—
593C2×Dic86—41no—
594C2×Dic86—41no—
595C2×Dic86C2×D411yescharacteristic
596C2×Dic86C2411yescharacteristic
597C2×Dic86C2411yescharacteristic
598C2×Dic86C2411yescharacteristic
599C2×Dic86C2411yescharacteristic
600C2×Dic86C2411yescharacteristic
601SD16×C43—22no—
602SD16×C43—41no—
603D8×C43—41no—
604M16×C43—41no—
605M16×C43—41no—
606C2×C8×C43C2411yescharacteristic
607C2×C8×C43C2411yescharacteristic
608C2×C8×C43C2411yescharacteristic
609C2×C8×C43C2411yescharacteristic
610C4⋊C4×C43—21no—
611C4⋊C4×C43—21no—
612C4⋊C4×C43—21no—
613C4⋊C4×C43—21no—
614C4⋊C4×C43—21no—
615C4⋊C4×C43C2×D411yescharacteristic
616C4⋊C4×C43C2411yescharacteristic
617C4⋊C4×C43C2411yescharacteristic
618C4⋊C4×C43C2411yescharacteristic
619C4⋊C4×C43C2411yescharacteristic
620C22⋊C4×C43—21no—
621C22⋊C4×C43—21no—
622C22⋊C4×C43—21no—
623C22⋊C4×C43—21no—
624C22⋊C4×C43—21no—
625C22⋊C4×C43—21no—
626C22⋊C4×C43—21no—
627C22⋊C4×C43—21no—
628C22⋊C4×C43C2×D411yescharacteristic
629C22⋊C4×C43C2×D411yescharacteristic
630C42×C43—21no—
631C42×C43—21no—
632C42×C43C2411yescharacteristic
633C22⋊Dic43—21no—
634C22⋊Dic43—21no—
635C22⋊Dic43—21no—
636C22⋊Dic43—21no—
637C22⋊Dic43—21no—
638C22⋊Dic43—21no—
639C22⋊Dic43—21no—
640C22⋊Dic43—21no—
641C22⋊Dic43—21no—
642C22⋊Dic43—21no—
643C22⋊Dic43C2×D411yescharacteristic
644C22⋊Dic43C2×D411yescharacteristic
645#10621885—22no—
646#10621885—22no—
647#10621885—22no—
648#10621885—41no—
649#10621885—41no—
650#10621885—41no—
651#10621883—41no—
652#10621883—41no—
653#10621883—41no—
654#10621883—41no—
655#10621883—41no—
656#10621882—22no—
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)⋊C4C2×D411yescharacteristic
671(C2×D43)⋊C4C2×D411yescharacteristic
672(C2×D43)⋊C4C2×D411yescharacteristic
673(C2×D43)⋊C4C2×D411yescharacteristic
674(C2×D43)⋊C4C2×D411yescharacteristic
675(C2×D43)⋊C4C2×D411yescharacteristic
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⋊Dic43—21no—
685C4⋊Dic43—21no—
686C4⋊Dic43—21no—
687C4⋊Dic43—21no—
688C4⋊Dic43—21no—
689C4⋊Dic43—21no—
690C4⋊Dic43C2×D411yescharacteristic
691C4⋊Dic43C2411yescharacteristic
692C4⋊Dic43C2411yescharacteristic
693Dic43⋊C4—21no—
694Dic43⋊C4—21no—
695Dic43⋊C4—21no—
696Dic43⋊C4—21no—
697Dic43⋊C4—21no—
698Dic43⋊C4—21no—
699Dic43⋊C4—21no—
700Dic43⋊C4—21no—
701Dic43⋊C4—21no—
702Dic43⋊C4—21no—
703Dic43⋊C4—21no—
704Dic43⋊C4—21no—
705Dic43⋊C4—21no—
706Dic43⋊C4C2×D411yescharacteristic
707Dic43⋊C4C2×D411yescharacteristic
708Dic43⋊C4C2×D411yescharacteristic
709Dic43⋊C4C2×D411yescharacteristic
710C4×Dic43—21no—
711C4×Dic43—21no—
712C4×Dic43—21no—
713C4×Dic43—21no—
714C4×Dic43—21no—
715C4×Dic43C2411yescharacteristic
716#10621877—41no—
717C2×C43⋊C8—41no—
718C2×C43⋊C8C2411yescharacteristic
719C2×C43⋊C8C2411yescharacteristic
720C2×C43⋊C8C2411yescharacteristic
721C2×C43⋊C8C2411yescharacteristic
722Dic172—41no—
723Dic172—41no—
724Dic172—41no—
725Dic172—41no—
726Dic172—41no—
727Dic172—41no—
728#10621873—22no—
729#10621873—22no—
730#10621873—22no—
731#10621872—41no—
732#10621872—41no—
733#10621872—41no—
734C8×D43—41no—
735C23×C43—21no—
736C23×C43—21no—
737C23×C43C22×D411yescharacteristic
738C23×C43C22×D411yescharacteristic
739C22×D43—21no—
740C22×D43—41no—
741C22×D43—41no—
742C22×D43—41no—
743C22×D43—42no—
744C22×D43—42no—
745C22×D43—81no—
746C22×D43C22×D411yescharacteristic
747C22×D43C22×D411yescharacteristic
748C22×D43C22×D411yescharacteristic
749Q8×C43—21no—
750Q8×C43—21no—
751Q8×C43—21no—
752Q8×C43—42no—
753Q8×C43H(5,𝔽2)12yes—
754D4×C43—21no—
755D4×C43—21no—
756D4×C43—21no—
757D4×C43—21no—
758D4×C43—41no—
759D4×C43—42no—
760D4×C43—42no—
761D4×C43—81no—
762D4×C43—81no—
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—21no—
770C2×C4×C43—21no—
771C2×C4×C43—21no—
772C2×C4×C43—21no—
773C2×C4×C43—42no—
774C2×C4×C43—42no—
775C2×C4×C43—81no—
776C2×C4×C43—81no—
777C2×C4×C43C22×D411yescharacteristic
778C2×C4×C43C22×D411yescharacteristic
779C2×C4×C43C22×D411yescharacteristic
780C2×C4×C43C22×D411yescharacteristic
781C2×C4×C43C2511yescharacteristic
782C22⋊D43—41no—
783C22⋊D43—41no—
784C22⋊D43—41no—
785C22⋊D43—41no—
786C22⋊D43—42no—
787C22⋊D43—42no—
788C22⋊D43—42no—
789C22⋊D43—42no—
790C22⋊D43—81no—
791C22⋊D43—81no—
792C22⋊D43—81no—
793C22⋊D43—81no—
794C2×Dic43—21no—
795C2×Dic43—21no—
796C2×Dic43—21no—
797C2×Dic43—21no—
798C2×Dic43—21no—
799C2×Dic43—21no—
800C2×Dic43—21no—
801C2×Dic43—41no—
802C2×Dic43—42no—
803C2×Dic43—81no—
804C2×Dic43—81no—
805C2×Dic43—81no—
806C2×Dic43—81no—
807C2×Dic43C22×D411yescharacteristic
808C2×Dic43C22×D411yescharacteristic
809C2×Dic43C22×D411yescharacteristic
810C2×Dic43C22×D411yescharacteristic
811C2×Dic43C22×D411yescharacteristic
812D172—24no—
813D172—21no—
814D172—41no—
815D172—41no—
816D172—42no—
817D172H(5,𝔽2)12yes—
818C4×D43—24no—
819C4×D43—21no—
820C4×D43—21no—
821C4×D43—21no—
822C4×D43—21no—
823C4×D43—21no—
824C4×D43—21no—
825C4×D43—41no—
826C4×D43—41no—
827C4×D43—42no—
828C4×D43—42no—
829C4×D43—42no—
830C4×D43—42no—
831C4×D43—42no—
832C4×D43—42no—
833C4×D43—81no—
834C4×D43—81no—
835C4×D43—81no—
836C4×D43—81no—
837Dic86—21no—
838Dic86—21no—
839Dic86—21no—
840Dic86—21no—
841Dic86—21no—
842Dic86—21no—
843Dic86—21no—
844Dic86—21no—
845Dic86—21no—
846Dic86—21no—
847Dic86—41no—
848Dic86—42no—
849Dic86—42no—
850Dic86—42no—
851Dic86—81no—
852Dic86—81no—
853Dic86—81no—
854C8×C43—21no—
855C8×C43—21no—
856C8×C43—21no—
857C8×C43—21no—
858C43⋊C8—21no—
859C43⋊C8—21no—
860C43⋊C8—21no—
861C43⋊C8—21no—
862#61655—431nomaximal, Sylow
863C22×C43—21no—
864C22×C43—21no—
865C22×C43—21no—
866C22×C43—21no—
867C22×C43—21no—
868C22×C43—21no—
869C22×C43—41no—
870C22×C43—41no—
871C22×C43—41no—
872C22×C43—41no—
873C22×C43—41no—
874C22×C43—41no—
875C22×C43C23×D411yescharacteristic
876C2×D43—21no—
877C2×D43—21no—
878C2×D43—21no—
879C2×D43—21no—
880C2×D43—21no—
881C2×D43—21no—
882C2×D43—22no—
883C2×D43—21no—
884C2×D43—21no—
885C2×D43—21no—
886C2×D43—41no—
887C2×D43—41no—
888C2×D43—82no—
889C2×D43—84no—
890C4×C43—21no—
891C4×C43—21no—
892C4×C43—22no—
893C4×C43—21no—
894C4×C43—21no—
895C4×C43—41no—
896C4×C43—41no—
897C4×C43—41no—
898C4×C43—41no—
899C4×C43—41no—
900C4×C43C2×H(5,𝔽2)11yescharacteristic
901C4×C43C2×H(5,𝔽2)11yescharacteristic
902Dic43—21no—
903Dic43—21no—
904Dic43—21no—
905Dic43—21no—
906Dic43—21no—
907Dic43—41no—
908Dic43—41no—
909Dic43—41no—
910Dic43—41no—
911Dic43—41no—
912Dic43—41no—
913Dic43—41no—
914#3541—431no—
915#3489—431no—
916#3331—431no—
917#3328—431no—
918#3326D4311yescharacteristic, complemented
919#3323—431no—
920#3316—431no—
921#3312—431no—
922#3311—431no—
923#3307—431no—
924#3277—431no—
925#3276—431no—
926#3276—431no—
927#3275—431no—
928#3270—431no—
929#3270—431no—
930#3269—431no—
931#3267—431no—
932#3225—431no—
933#3223—431no—
934#3204—431no—
935#3201—431no—
936#3196—431no—
937#3195—431no—
938#3125—431no—
939#3120—431no—
940#3013—431no—
941#3011—431no—
942#3007—431no—
943#3005—431no—
944#2978—431no—
945C2×C43—41no—
946C2×C43—41no—
947C2×C43—81no—
948C2×C43—81no—
949C2×C43#348411yescharacteristic
950C2×C43#358611yescharacteristic
951C2×C43#358611yescharacteristic
952D43—41no—
953D43—41no—
954D43—41no—
955D43—42no—
956C2×2−1+4—431no—
957C22×#41—431no—
958C2×#137—431no—
959C2×#137—431no—
960C2×#137—431no—
961C2×#137—431no—
962C2×#137—431no—
963C2×AGL(1,ℤ/8)—431no—
964C2×#135—431no—
965C22×Q16—431no—
966#563—861no—
967#562—861no—
968#556—431no—
969#554—431no—
970#554—861no—
971#553—861no—
972#553C2×D4311yescharacteristic, complemented
973#552—431no—
974D4×Q8—431no—
975D4×Q8—431no—
976D4×Q8—431no—
977#548—431no—
978#548—431no—
979#548—431no—
980#548C2×D4311yescharacteristic
981#547—431no—
982#547—431no—
983#547—431no—
984#547—861no—
985#547—861no—
986#546—431no—
987#546—431no—
988#546—861no—
989#546—861no—
990#542—431no—
991#542—861no—
992#541—431no—
993#539—861no—
994#538—861no—
995#538—861no—
996#537—431no—
997#537—431no—
998#537—861no—
999#536—431no—
1000#536—431no—
1001#536—861no—
1002#525—431no—
1003#525—431no—
1004#525—861no—
1005C2×C22⋊Q8—431no—
1006C2×C22⋊Q8—431no—
1007C2×C22⋊Q8—861no—
1008#520—431no—
1009#497—431no—
1010#497—431no—
1011#495—431no—
1012#494—431no—
1013#491—431no—
1014#489—431no—
1015#488C2×D4311yescharacteristic, complemented
1016#487—431no—
1017#485—431no—
1018#485—431no—
1019#485—431no—
1020#484—431no—
1021#483—431no—
1022#483—431no—
1023#483—431no—
1024#483—431no—
1025#483C2×D4311yescharacteristic, complemented
1026#482C2×D4311yescharacteristic, complemented
1027#481—431no—
1028#481—431no—
1029#479C2×D4311yescharacteristic, complemented
1030#478—431no—
1031#476—431no—
1032#475—431no—
1033#470—431no—
1034#470—431no—
1035#470—431no—
1036#470—431no—
1037#470—431no—
1038#470—431no—
1039#470—431no—
1040#470—431no—
1041#469C2×D4311yescharacteristic, complemented
1042#468—431no—
1043#468—431no—
1044#468C2×D4311yescharacteristic, complemented
1045#467—431no—
1046#465—431no—
1047#465—431no—
1048#465—431no—
1049#464—431no—
1050#464—431no—
1051#464—431no—
1052#464—431no—
1053#463—431no—
1054#463C2×D4311yescharacteristic, complemented
1055#462—431no—
1056#462—431no—
1057#462—431no—
1058#462—431no—
1059#461—431no—
1060#461—431no—
1061#452—431no—
1062#452—431no—
1063#452—431no—
1064#452—431no—
1065#452—431no—
1066#452—431no—
1067#452—431no—
1068#452—431no—
1069#452—431no—
1070#452—431no—
1071#452—431no—
1072#452—431no—
1073#452—431no—
1074#452—431no—
1075#451—431no—
1076#451—431no—
1077#451—431no—
1078#451—431no—
1079#451—431no—
1080#451—431no—
1081#451—431no—
1082#451—431no—
1083#451—431no—
1084#451—431no—
1085#451—431no—
1086#450—431no—
1087#450—431no—
1088#449—431no—
1089#449—431no—
1090#449—431no—
1091#449—431no—
1092#449—431no—
1093#449C2×D4311yescharacteristic
1094#448—431no—
1095#448—431no—
1096#448C2×D4311yescharacteristic, complemented
1097#442—431no—
1098#441—431no—
1099#441—431no—
1100#440—431no—
1101C4×Q16—431no—
1102C4×SD16—431no—
1103C4×SD16—431no—
1104C4×SD16C2×D4311yescharacteristic, complemented
1105#436—431no—
1106#436—431no—
1107#436—431no—
1108#436C2×D4311yescharacteristic, complemented
1109#435—431no—
1110#435—431no—
1111#435—431no—
1112#435—431no—
1113#433—431no—
1114#433—431no—
1115#419—431no—
1116#419C2×D4311yescharacteristic, complemented
1117#418—431no—
1118#417—431no—
1119#417—431no—
1120#417C2×D4311yescharacteristic
1121#416—431no—
1122C2×#103—431no—
1123#408—431no—
1124#408—431no—
1125#407—431no—
1126#407—431no—
1127C43#6165511yescharacteristic, complemented, Sylow
11282−1+4—1722no—
11292−1+4—1722no—
1130C2×#41—431no—
1131C2×#41—431no—
1132C2×#41—431no—
1133C2×#41—431no—
1134C2×#41—431no—
1135C2×#41—431no—
1136C2×#41—431no—
1137C2×#41—431no—
1138C2×#41—861no—
1139C2×#41—861no—
1140C2×#41—861no—
1141C2×#41—861no—
1142C2×#41—861no—
1143C2×#41—1722no—
1144C2×#41—1722no—
1145C2×#41C22×D4311yescharacteristic
1146C22×Q8—431no—
1147C22×Q8—431no—
1148C22×Q8—431no—
1149C22×Q8—431no—
1150C22×Q8—431no—
1151C22×Q8—861no—
1152C22×Q8C22×D4311yescharacteristic
1153C22×D4—431no—
1154C22×D4—861no—
1155C23×C4—431no—
1156C23×C4—861no—
1157#137—1722no—
1158#137—1722no—
1159#137—1722no—
1160#137—1722no—
1161#137—1722no—
1162AGL(1,ℤ/8)—1722no—
1163#135—1722no—
1164C2×Q16—431no—
1165C2×Q16—431no—
1166C2×Q16—431no—
1167C2×Q16—431no—
1168C2×Q16—431no—
1169C2×Q16—431no—
1170C2×Q16—431no—
1171C2×Q16—431no—
1172C2×Q16—431no—
1173C2×Q16—431no—
1174C2×Q16—431no—
1175C2×Q16—431no—
1176C2×Q16—1722no—
1177C2×SD16—431no—
1178C2×SD16—431no—
1179C2×SD16—431no—
1180C2×SD16—431no—
1181C2×SD16—431no—
1182C2×SD16—431no—
1183C2×SD16—431no—
1184C2×SD16—431no—
1185C2×SD16C22×D4311yescharacteristic
1186C2×SD16C22×D4311yescharacteristic
1187C2×D8—431no—
1188C2×D8C22×D4311yescharacteristic
1189C2×M16—431no—
1190C2×M16—431no—
1191C2×M16—431no—
1192C2×M16—431no—
1193C2×M16C22×D4311yescharacteristic
1194C2×M16C22×D4311yescharacteristic
1195C22×C8—431no—
1196C22×C8—431no—
1197C4⋊Q8—431no—
1198C4⋊Q8—431no—
1199C4⋊Q8—431no—
1200C4⋊Q8—431no—
1201C4⋊Q8—861no—
1202C4⋊Q8—861no—
1203C4⋊Q8—861no—
1204C4⋊Q8—861no—
1205#126—21no—
1206#126—861no—
1207#126—861no—
1208#126—861no—
1209#126—861no—
1210#126—861no—
1211#126—861no—
1212#125—861no—
1213#125—861no—
1214#125—861no—
1215#125—861no—
1216#125C22×D4311yescharacteristic
1217#124—21no—
1218#124—431no—
1219#124—431no—
1220#124—861no—
1221#124—861no—
1222#124—861no—
1223#124—861no—
1224#124—861no—
1225#124—861no—
1226#124C22×D4311yescharacteristic
1227#123—21no—
1228#123—431no—
1229#123—431no—
1230#123—861no—
1231#123—861no—
1232#123—861no—
1233#123—861no—
1234#123—861no—
1235#123—861no—
1236#123—861no—
1237#123—861no—
1238#123—861no—
1239#123—861no—
1240#123—861no—
1241#123—861no—
1242#123—861no—
1243#123—861no—
1244#123—861no—
1245C22⋊Q8—21no—
1246C22⋊Q8—431no—
1247C22⋊Q8—431no—
1248C22⋊Q8—431no—
1249C22⋊Q8—431no—
1250C22⋊Q8—431no—
1251C22⋊Q8—431no—
1252C22⋊Q8—431no—
1253C22⋊Q8—431no—
1254C22⋊Q8—431no—
1255C22⋊Q8—431no—
1256C22⋊Q8—431no—
1257C22⋊Q8—431no—
1258C22⋊Q8—431no—
1259C22⋊Q8—431no—
1260C22⋊Q8—431no—
1261C22⋊Q8—431no—
1262C22⋊Q8—861no—
1263C22⋊Q8—861no—
1264C22⋊Q8—861no—
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⋊Q8—861no—
1281C22⋊Q8—861no—
1282C22⋊Q8C22×D4311yescharacteristic
1283#121—21no—
1284#121—21no—
1285#121—431no—
1286#121—431no—
1287#121—431no—
1288#121—431no—
1289#121—861no—
1290#121—861no—
1291#121—861no—
1292#121—861no—
1293#121—861no—
1294#121—861no—
1295#121—861no—
1296#121—861no—
1297#121—861no—
1298#121—861no—
1299#121—861no—
1300#121—861no—
1301#121—861no—
1302#121—861no—
1303#121C22×D4311yescharacteristic
1304#121C22×D4311yescharacteristic
1305#121C22×D4311yescharacteristic
1306#120—431no—
1307#120—431no—
1308#120—861no—
1309#120—861no—
1310#120—861no—
1311C4×Q8—431no—
1312C4×Q8—431no—
1313C4×Q8—431no—
1314C4×Q8—431no—
1315C4×Q8—861no—
1316C4×Q8C22×D4311yescharacteristic
1317C4×D4—21no—
1318C4×D4—21no—
1319C4×D4—431no—
1320C4×D4—431no—
1321C4×D4—431no—
1322C4×D4—431no—
1323C4×D4—431no—
1324C4×D4—861no—
1325C4×D4—861no—
1326C4×D4—861no—
1327C4×D4—861no—
1328C4×D4—861no—
1329C4×D4—861no—
1330C4×D4—861no—
1331C4×D4—861no—
1332C4×D4—861no—
1333C4×D4—861no—
1334C4×D4—861no—
1335C4×D4C22×D4311yescharacteristic
1336C4×D4C22×D4311yescharacteristic
1337#117—431no—
1338#117—431no—
1339#117—861no—
1340#117—861no—
1341#117C22×D4311yescharacteristic
1342C2×C4⋊C4—431no—
1343C2×C4⋊C4—431no—
1344C2×C4⋊C4—861no—
1345C2×C4⋊C4—861no—
1346C2×C4⋊C4—861no—
1347C2×C4⋊C4—861no—
1348C2×C4⋊C4—861no—
1349C2×C4⋊C4—861no—
1350C2×C4⋊C4C22×D4311yescharacteristic
1351C2×C22⋊C4—861no—
1352C2×C22⋊C4—861no—
1353C2×C22⋊C4—861no—
1354C2×C22⋊C4—861no—
1355#107—431no—
1356#107C22×D4311yescharacteristic
1357#106—431no—
1358#106—431no—
1359#106—431no—
1360#106—431no—
1361#106C22×D4311yescharacteristic
1362#106C22×D4311yescharacteristic
1363C4⋊C8—431no—
1364C4⋊C8—431no—
1365C4⋊C8—431no—
1366C4⋊C8C22×D4311yescharacteristic
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#103—431no—
1377#103—431no—
1378#103—431no—
1379#103—431no—
1380#103—431no—
1381#103—431no—
1382#103—431no—
1383#103C22×D4311yescharacteristic
1384#103C22×D4311yescharacteristic
1385#103C22×D4311yescharacteristic
1386#103C22×D4311yescharacteristic
1387#103C22×D4311yescharacteristic
1388#103C22×D4311yescharacteristic
1389#102—431no—
1390#102—431no—
1391#102—431no—
1392#102—431no—
1393#102—431no—
1394#102—431no—
1395#102C22×D4311yescharacteristic
1396#102C22×D4311yescharacteristic
1397#102C22×D4311yescharacteristic
1398#102C22×D4311yescharacteristic
1399C22⋊C8—431no—
1400C22⋊C8—431no—
1401C22⋊C8—431no—
1402C22⋊C8—431no—
1403C22⋊C8—431no—
1404C22⋊C8—431no—
1405C22⋊C8—431no—
1406C22⋊C8—431no—
1407C22⋊C8—431no—
1408C22⋊C8—431no—
1409C22⋊C8C22×D4311yescharacteristic
1410C22⋊C8C22×D4311yescharacteristic
1411#97—431no—
1412#97—431no—
1413C4×C8—431no—
1414C4×C8C22×D4311yescharacteristic
1415C24—431no—
1416C24—861no—
1417#41—22no—
1418#41—41no—
1419#41—862no—
1420#41—862no—
1421#41—862no—
1422#41—862no—
1423#41—862no—
1424#41—1721no—
1425#41—1721no—
1426#41—1721no—
1427#41—1721no—
1428#41—1724no—
1429#41—1724no—
1430#41—1724no—
1431#41—1721no—
1432#41—1721no—
1433#41—1721no—
1434#41—1721no—
1435#41—1721no—
1436#41—1721no—
1437#41—1724no—
1438#41—1721no—
1439#41—1724no—
1440C2×Q8—21no—
1441C2×Q8—22no—
1442C2×Q8—41no—
1443C2×Q8—431no—
1444C2×Q8—431no—
1445C2×Q8—431no—
1446C2×Q8—431no—
1447C2×Q8—431no—
1448C2×Q8—431no—
1449C2×Q8—861no—
1450C2×Q8—861no—
1451C2×Q8—861no—
1452C2×Q8—861no—
1453C2×Q8—861no—
1454C2×Q8—861no—
1455C2×Q8—862no—
1456C2×Q8—862no—
1457C2×Q8—1721no—
1458C2×Q8—1721no—
1459C2×Q8—1721no—
1460C2×Q8—1721no—
1461C2×Q8—1721no—
1462C2×Q8—1721no—
1463C2×Q8—1721no—
1464C2×Q8—1721no—
1465C2×Q8—1724no—
1466C2×Q8C23×D4311yescharacteristic
1467C2×Q8C23×D4311yescharacteristic
1468C2×D4—21no—
1469C2×D4—21no—
1470C2×D4—21no—
1471C2×D4—21no—
1472C2×D4—431no—
1473C2×D4—431no—
1474C2×D4—431no—
1475C2×D4—431no—
1476C2×D4—431no—
1477C2×D4—431no—
1478C2×D4—431no—
1479C2×D4—861no—
1480C2×D4—861no—
1481C2×D4—861no—
1482C2×D4—862no—
1483C2×D4—861no—
1484C2×D4—861no—
1485C2×D4—861no—
1486C2×D4—861no—
1487C2×D4—861no—
1488C2×D4—861no—
1489C2×D4—861no—
1490C2×D4—1721no—
1491C2×D4—1724no—
1492C2×D4D4×D4311yescharacteristic
1493C2×D4C23×D4311yescharacteristic
1494C2×D4C23×D4311yescharacteristic
1495C22×C4—21no—
1496C22×C4—21no—
1497C22×C4—21no—
1498C22×C4—21no—
1499C22×C4—431no—
1500C22×C4—431no—
1501C22×C4—431no—
1502C22×C4—431no—
1503C22×C4—431no—
1504C22×C4—431no—
1505C22×C4—861no—
1506C22×C4—861no—
1507C22×C4—861no—
1508C22×C4—861no—
1509C22×C4—861no—
1510C22×C4—861no—
1511C22×C4—861no—
1512C22×C4—861no—
1513C22×C4—861no—
1514C22×C4—861no—
1515C22×C4—861no—
1516C22×C4—861no—
1517C22×C4—861no—
1518C22×C4—861no—
1519C22×C4—861no—
1520C22×C4—861no—
1521C22×C4—1721no—
1522C22×C4—1721no—
1523C22×C4—1724no—
1524C22×C4C23×D4311yescharacteristic
1525C22×C4C23×D4311yescharacteristic
1526Q16—862no—
1527Q16—862no—
1528Q16—862no—
1529Q16—1721no—
1530Q16—1721no—
1531Q16—1721no—
1532Q16—1721no—
1533Q16—1721no—
1534Q16—1721no—
1535Q16—1721no—
1536Q16—1721no—
1537Q16—1721no—
1538SD16—22no—
1539SD16—41no—
1540SD16—862no—
1541SD16—862no—
1542SD16—862no—
1543SD16—1721no—
1544SD16—1721no—
1545SD16—1721no—
1546SD16—1721no—
1547SD16—1721no—
1548D8—41no—
1549D8—862no—
1550M16—41no—
1551M16—41no—
1552M16—1721no—
1553M16—1721no—
1554M16—1721no—
1555M16—1721no—
1556C2×C8—431no—
1557C2×C8—431no—
1558C2×C8—431no—
1559C2×C8—431no—
1560C2×C8—1721no—
1561C2×C8—1721no—
1562C2×C8C23×D4311yescharacteristic
1563C2×C8C23×D4311yescharacteristic
1564C2×C8C23×D4311yescharacteristic
1565C2×C8C23×D4311yescharacteristic
1566C4⋊C4—21no—
1567C4⋊C4—21no—
1568C4⋊C4—21no—
1569C4⋊C4—21no—
1570C4⋊C4—21no—
1571C4⋊C4—431no—
1572C4⋊C4—431no—
1573C4⋊C4—431no—
1574C4⋊C4—431no—
1575C4⋊C4—431no—
1576C4⋊C4—431no—
1577C4⋊C4—431no—
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⋊C4—861no—
1592C4⋊C4—861no—
1593C4⋊C4—861no—
1594C4⋊C4—861no—
1595C4⋊C4—861no—
1596C4⋊C4—861no—
1597C4⋊C4—861no—
1598C4⋊C4—861no—
1599C4⋊C4—861no—
1600C4⋊C4—861no—
1601C4⋊C4—861no—
1602C4⋊C4—861no—
1603C4⋊C4—861no—
1604C4⋊C4—861no—
1605C4⋊C4D4×D4311yescharacteristic
1606C4⋊C4C23×D4311yescharacteristic
1607C4⋊C4C23×D4311yescharacteristic
1608C4⋊C4C23×D4311yescharacteristic
1609C4⋊C4C23×D4311yescharacteristic
1610C22⋊C4—21no—
1611C22⋊C4—21no—
1612C22⋊C4—21no—
1613C22⋊C4—21no—
1614C22⋊C4—21no—
1615C22⋊C4—21no—
1616C22⋊C4—21no—
1617C22⋊C4—21no—
1618C22⋊C4—431no—
1619C22⋊C4—431no—
1620C22⋊C4—431no—
1621C22⋊C4—431no—
1622C22⋊C4—431no—
1623C22⋊C4—431no—
1624C22⋊C4—431no—
1625C22⋊C4—431no—
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⋊C4—861no—
1636C22⋊C4—861no—
1637C22⋊C4—861no—
1638C22⋊C4—861no—
1639C22⋊C4—861no—
1640C22⋊C4—861no—
1641C22⋊C4—861no—
1642C22⋊C4—861no—
1643C22⋊C4—861no—
1644C22⋊C4—861no—
1645C22⋊C4—861no—
1646C22⋊C4—861no—
1647C22⋊C4—861no—
1648C22⋊C4—861no—
1649C22⋊C4D4×D4311yescharacteristic
1650C22⋊C4D4×D4311yescharacteristic
1651C42—21no—
1652C42—21no—
1653C42—431no—
1654C42—861no—
1655C42—861no—
1656C42—861no—
1657C42—861no—
1658C42—861no—
1659C42C23×D4311yescharacteristic
1660C23—21no—
1661C23—21no—
1662C23—431no—
1663C23—431no—
1664C23—431no—
1665C23—861no—
1666C23—3441no—
1667C23—1721no—
1668C23—1721no—
1669C23—1721no—
1670C23—1722no—
1671C23—1722no—
1672C23C2×D4×D4311yescharacteristic
1673C23C2×D4×D4311yescharacteristic
1674Q8—21no—
1675Q8—21no—
1676Q8—21no—
1677Q8—42no—
1678Q8—861no—
1679Q8—861no—
1680Q8—861no—
1681Q8—861no—
1682Q8—861no—
1683Q8—861no—
1684Q8—861no—
1685Q8—861no—
1686Q8—861no—
1687Q8—861no—
1688Q8—3441no—
1689Q8—3441no—
1690Q8—3441no—
1691Q8—1721no—
1692Q8—1722no—
1693Q8—1722no—
1694Q8—1722no—
1695Q8#1306337112yes—
1696D4—21no—
1697D4—21no—
1698D4—21no—
1699D4—21no—
1700D4—41no—
1701D4—42no—
1702D4—42no—
1703D4—81no—
1704D4—81no—
1705D4—432no—
1706D4—864no—
1707D4—861no—
1708D4—3441no—
1709D4—3441no—
1710D4—3441no—
1711D4—3441no—
1712D4—1721no—
1713D4—1721no—
1714D4—1722no—
1715D4—1721no—
1716D4—1721no—
1717D4—1721no—
1718D4—1721no—
1719D4—1722no—
1720D4—1722no—
1721D4—1722no—
1722D4—1722no—
1723C2×C4—21no—
1724C2×C4—21no—
1725C2×C4—21no—
1726C2×C4—21no—
1727C2×C4—21no—
1728C2×C4—21no—
1729C2×C4—21no—
1730C2×C4—21no—
1731C2×C4—21no—
1732C2×C4—21no—
1733C2×C4—42no—
1734C2×C4—42no—
1735C2×C4—81no—
1736C2×C4—81no—
1737C2×C4—431no—
1738C2×C4—431no—
1739C2×C4—431no—
1740C2×C4—431no—
1741C2×C4—431no—
1742C2×C4—864no—
1743C2×C4—861no—
1744C2×C4—861no—
1745C2×C4—861no—
1746C2×C4—861no—
1747C2×C4—861no—
1748C2×C4—861no—
1749C2×C4—861no—
1750C2×C4—861no—
1751C2×C4—861no—
1752C2×C4—861no—
1753C2×C4—861no—
1754C2×C4—861no—
1755C2×C4—861no—
1756C2×C4—3441no—
1757C2×C4—3441no—
1758C2×C4—3441no—
1759C2×C4—3441no—
1760C2×C4—3441no—
1761C2×C4—3441no—
1762C2×C4—3441no—
1763C2×C4—3441no—
1764C2×C4—1721no—
1765C2×C4—1721no—
1766C2×C4—1722no—
1767C2×C4—1722no—
1768C2×C4—1722no—
1769C2×C4—1722no—
1770C2×C4—1722no—
1771C2×C4—1722no—
1772C2×C4—1721no—
1773C2×C4—1722no—
1774C2×C4C2×D4×D4311yescharacteristic
1775C2×C4C2×D4×D4311yescharacteristic
1776C2×C4C2×D4×D4311yescharacteristic
1777C2×C4C2×D4×D4311yescharacteristic
1778C2×C4C24×D4311yescharacteristic
1779C8—21no—
1780C8—21no—
1781C8—21no—
1782C8—21no—
1783C8—861no—
1784C8—861no—
1785C8—861no—
1786C8—861no—
1787C22—21no—
1788C22—21no—
1789C22—21no—
1790C22—21no—
1791C22—21no—
1792C22—21no—
1793C22—41no—
1794C22—41no—
1795C22—41no—
1796C22—41no—
1797C22—41no—
1798C22—41no—
1799C22—861no—
1800C22—861no—
1801C22—861no—
1802C22—861no—
1803C22—861no—
1804C22—861no—
1805C22—862no—
1806C22—861no—
1807C22—861no—
1808C22—861no—
1809C22—3442no—
1810C22—3444no—
1811C22—1721no—
1812C22—1721no—
1813C22C22×D4×D4311yescharacteristic
1814C4—21no—
1815C4—21no—
1816C4—21no—
1817C4—21no—
1818C4—22no—
1819C4—41no—
1820C4—41no—
1821C4—41no—
1822C4—41no—
1823C4—41no—
1824C4—861no—
1825C4—861no—
1826C4—861no—
1827C4—861no—
1828C4—861no—
1829C4—1721no—
1830C4—1721no—
1831C4—1721no—
1832C4—1721no—
1833C4—1721no—
1834C4—1721no—
1835C4—1721no—
1836C4H(5,𝔽2)×D4311yescharacteristic
1837C4C2×#1306337111yescharacteristic
1838C2—41no—
1839C2—41no—
1840C2—81no—
1841C2—81no—
1842C2—1721no—
1843C2—1721no—
1844C2—1721no—
1845C2—1722no—
1846C2#1914822511yescharacteristic
1847C2#1914937711yescharacteristic
1848C2#1914937911yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3326C2
socleC22×C43C23×D4
hypercenter#3326D43
hypocenterC43#61655
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3326

Complements

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

NH ≅ G/Ntype
1. #19148882C2semidirect
2. #19148274C2semidirect
3. #19146909C2semidirect
4. #19146874C2semidirect
5. #19146810C2semidirect
6. #19146707C2semidirect
7. #19146643C2semidirect
8. #19146629C2semidirect
9. #19146565C2semidirect
10. #19146245C2semidirect
11. #19146243C2semidirect
12. #19146242C2semidirect
13. #19146233C2semidirect
14. #19146161C2semidirect
15. #19146158C2semidirect
16. #19146157C2semidirect
17. #19146115C2semidirect
18. #19145701C2semidirect
19. #19145681C2semidirect
20. #19145506C2semidirect
21. #19145475C2semidirect
22. #19145420C2semidirect
23. #19145418C2semidirect
24. #19144878C2semidirect
25. #19144816C2semidirect
26. #19143905C2semidirect
27. #19143891C2semidirect
28. #19143856C2semidirect
29. #19143833C2semidirect
30. #19143652C2semidirect
31. C43×#3326C2semidirect
35. C2×#13063358C22semidirect
38. C2×#13063354C22semidirect
40. C2×#13063346C22semidirect
41. C22×#10621885C22semidirect
46. #14583604C22semidirect
50. D4×Dic86C22semidirect
54. #14583555C22semidirect
65. #14583514C22semidirect
66. #14583512C22semidirect
72. #14583478C22semidirect
73. #14583475C22semidirect
83. #14583294C22semidirect
84. #14583290C22semidirect
85. #14583282C22semidirect
86. #14583279C22semidirect
87. #14583269C22semidirect
88. #14583257C22semidirect
89. #14583248C22semidirect
91. #14583240C22semidirect
93. #14583236C22semidirect
94. #14583231C22semidirect
95. #14583231C22semidirect
96. #14583231C22semidirect
97. #14583229C22semidirect
98. #14583216C22semidirect
99. #14583216C22semidirect
100. #14583196C22semidirect
101. #14583188C22semidirect
102. #14583182C22semidirect
105. #14583158C22semidirect
106. #14583157C22semidirect
107. #14583157C22semidirect
110. #14583155C22semidirect
111. #14583144C22semidirect
112. #14583143C22semidirect
113. #14583141C22semidirect
114. #14583127C22semidirect
115. #14583126C22semidirect
116. #14583126C22semidirect
117. #14583120C22semidirect
118. #14583120C22semidirect
119. #14583119C22semidirect
120. #14583118C22semidirect
121. #14583113C22semidirect
122. #14583110C22semidirect
123. #14583109C22semidirect
124. #14583108C22semidirect
125. #14583108C22semidirect
126. #14583105C22semidirect
127. #14583104C22semidirect
131. #14583064C22semidirect
132. #14583064C22semidirect
134. #14583063C22semidirect
139. #14583062C22semidirect
142. #14583057C22semidirect
143. #14583057C22semidirect
146. #14583056C22semidirect
147. #14583056C22semidirect
148. #14583056C22semidirect
149. #14583056C22semidirect
150. #14583056C22semidirect
151. #14583055C22semidirect
152. #14583054C22semidirect
157. #14583042C22semidirect
159. #14583041C22semidirect
160. #14583037C22semidirect
161. #14583036C22semidirect
162. #14583009C22semidirect
163. #14583004C22semidirect
164. #14583003C22semidirect
165. #14582998C22semidirect
166. #14582991C22semidirect
167. C4×#10621873C22semidirect
168. #14582986C22semidirect
171. #14582974C22semidirect
172. #14582971C22semidirect
174. #14582968C22semidirect
176. #14582959C22semidirect
177. #14582958C22semidirect
180. #14582899C22semidirect
182. #14582893C22semidirect
183. #103×D43C22semidirect
184. #14582867C22semidirect
185. #14582864C22semidirect
188. C43×#553C22semidirect
190. C43×#488C22semidirect
191. C43×#483C22semidirect
192. C43×#482C22semidirect
193. C43×#479C22semidirect
194. C43×#469C22semidirect
195. C43×#468C22semidirect
196. C43×#463C22semidirect
198. C43×#448C22semidirect
199. C4×SD16×C43C22semidirect
200. C43×#436C22semidirect
201. C43×#419C22semidirect
918. #3326D43semidirect
972. #553C2×D43semidirect
1015. #488C2×D43semidirect
1025. #483C2×D43semidirect
1026. #482C2×D43semidirect
1029. #479C2×D43semidirect
1041. #469C2×D43semidirect
1044. #468C2×D43semidirect
1054. #463C2×D43semidirect
1096. #448C2×D43semidirect
1104. C4×SD16C2×D43semidirect
1108. #436C2×D43semidirect
1116. #419C2×D43semidirect
1127. C43#61655semidirect

Maximal subgroups

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

subgroupindex
#191488822
#191482742
#191469092
#191468742
#191468102
#191467072
#191466432
#191466292
#191465652
#191462452
#191462432
#191462422
#191462332
#191461612
#191461582
#191461572
#191461152
#191457012
#191456812
#191455062
#191454752
#191454202
#191454182
#191448782
#191448162
#191439052
#191438912
#191438562
#191438332
#191436522
C43×#33262
#6165543