Finite Group Databasebeta

← #25983182

Subgroups — #25983182

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#19148884C211yesmaximal, characteristic, complemented
2#19148276C211yesmaximal, characteristic, complemented
3#19146908C211yesmaximal, characteristic, complemented
4#19146875C211yesmaximal, characteristic, complemented
5#19146853C211yesmaximal, characteristic, complemented
6#19146816C211yesmaximal, characteristic, complemented
7#19146703C211yesmaximal, characteristic, complemented
8#19146651C211yesmaximal, characteristic, complemented
9#19146628C211yesmaximal, characteristic, complemented
10#19146576C211yesmaximal, characteristic, complemented
11#19146247C211yesmaximal, characteristic, complemented
12#19146242C211yesmaximal, characteristic, complemented
13#19146242C211yesmaximal, characteristic, complemented
14#19146232C211yesmaximal, characteristic, complemented
15#19146167C211yesmaximal, characteristic, complemented
16#19146160C211yesmaximal, characteristic, complemented
17#19146156C211yesmaximal, characteristic, complemented
18#19146122C211yesmaximal, characteristic, complemented
19#19145698C211yesmaximal, characteristic, complemented
20#19145680C211yesmaximal, characteristic, complemented
21#19145508C211yesmaximal, characteristic, complemented
22#19145484C211yesmaximal, characteristic, complemented
23#19145424C211yesmaximal, characteristic, complemented
24#19145418C211yesmaximal, characteristic, complemented
25#19144809C211yesmaximal, characteristic, complemented
26#19143908C211yesmaximal, characteristic, complemented
27#19143887C211yesmaximal, characteristic, complemented
28#19143852C211yesmaximal, characteristic, complemented
29#19143833C211yesmaximal, characteristic, complemented
30#19143656C211yesmaximal, characteristic, complemented
31C43×#3125C211yesmaximal, characteristic, complemented
32C2×#13063372C2211yescharacteristic
33C2×#41×D43C2211yescharacteristic
34C2×#13063357C2211yescharacteristic
35C2×#13063354C2211yescharacteristic
36C2×#13063354C2211yescharacteristic
37C2×#13063354C2211yescharacteristic, complemented
38C2×#13063354C2211yescharacteristic, complemented
39C2×#13063349C2211yescharacteristic
40C2×#13063344C2211yescharacteristic, complemented
41C2×Q16×D43C2211yescharacteristic, complemented
42#14583651—21no—
43#14583645—21no—
44#14583623C2211yescharacteristic
45#14583610C2211yescharacteristic, complemented
46#14583607—21no—
47#14583600—21no—
48#14583599C2211yescharacteristic, complemented
49#14583590C2211yescharacteristic
50Q8×D172C2211yescharacteristic
51Q8×D172C2211yescharacteristic
52Q8×D172C2211yescharacteristic, complemented
53#14583561C2211yescharacteristic
54#14583561C2211yescharacteristic
55#14583557C2211yescharacteristic
56#14583557C2211yescharacteristic, complemented
57#14583553—21no—
58#14583553—21no—
59#14583553C2211yescharacteristic
60#14583553C2211yescharacteristic
61#14583553C2211yescharacteristic
62#14583544—21no—
63#14583544—21no—
64#14583544C2211yescharacteristic
65#14583544C2211yescharacteristic
66#14583518—21no—
67#14583511C2211yescharacteristic, complemented
68#14583493—21no—
69#14583485—21no—
70#14583483—21no—
71#14583480—21no—
72#14583480C2211yescharacteristic
73#14583478C2211yescharacteristic, complemented
74#14583475—21no—
75#14583475C2211yescharacteristic
76#14583472C2211yescharacteristic, complemented
77#14583411—21no—
78#14583411C2211yescharacteristic
79#14583409C2211yescharacteristic
80C2×#13063305—21no—
81C2×#13063305C2211yescharacteristic
82C22⋊Q8×D43C2211yescharacteristic
83#14583294C2211yescharacteristic, complemented
84#14583293C2211yescharacteristic, complemented
85#14583281C2211yescharacteristic, complemented
86#14583279C2211yescharacteristic, complemented
87#14583268C2211yescharacteristic, complemented
88#14583261C2211yescharacteristic, complemented
89#14583254C2211yescharacteristic, complemented
90#14583251C2211yescharacteristic, complemented
91#14583243C2211yescharacteristic
92#14583243C2211yescharacteristic
93#14583243C2211yescharacteristic, complemented
94#14583234C2211yescharacteristic, complemented
95#14583231C2211yescharacteristic, complemented
96#14583231C2211yescharacteristic, complemented
97#14583231C2211yescharacteristic, complemented
98#14583229C2211yescharacteristic, complemented
99#14583225C2211yescharacteristic, complemented
100#14583219C2211yescharacteristic, complemented
101#14583206C2211yescharacteristic, complemented
102#14583199C2211yescharacteristic, complemented
103#14583158C2211yescharacteristic
104#14583158C2211yescharacteristic
105#14583158C2211yescharacteristic, complemented
106#14583158C2211yescharacteristic, complemented
107#14583158C2211yescharacteristic, complemented
108#14583158C2211yescharacteristic, complemented
109#14583156C2211yescharacteristic
110#14583156C2211yescharacteristic
111#14583151C2211yescharacteristic, complemented
112#14583148C2211yescharacteristic, complemented
113#14583144C2211yescharacteristic, complemented
114#14583144C2211yescharacteristic, complemented
115#14583139C2211yescharacteristic, complemented
116#14583129C2211yescharacteristic, complemented
117#14583129C2211yescharacteristic, complemented
118#14583127C2211yescharacteristic, complemented
119#14583122C2211yescharacteristic, complemented
120#14583122C2211yescharacteristic, complemented
121#14583121C2211yescharacteristic, complemented
122#14583114C2211yescharacteristic, complemented
123#14583110C2211yescharacteristic, complemented
124#14583110C2211yescharacteristic, complemented
125#14583109C2211yescharacteristic, complemented
126#14583109C2211yescharacteristic, complemented
127#14583104C2211yescharacteristic, complemented
128#14583104C2211yescharacteristic, complemented
129#14583064C2211yescharacteristic
130#14583063C2211yescharacteristic
131#14583063C2211yescharacteristic
132#14583062C2211yescharacteristic
133#14583062C2211yescharacteristic
134#14583062C2211yescharacteristic
135#14583062C2211yescharacteristic, complemented
136#14583062C2211yescharacteristic, complemented
137#14583062C2211yescharacteristic, complemented
138#14583061C2211yescharacteristic
139#14583061C2211yescharacteristic
140#14583059C2211yescharacteristic
141#14583058C2211yescharacteristic, complemented
142#14583057C2211yescharacteristic, complemented
143#14583057C2211yescharacteristic, complemented
144#14583056C2211yescharacteristic
145#14583056C2211yescharacteristic, complemented
146#14583056C2211yescharacteristic, complemented
147#14583056C2211yescharacteristic, complemented
148#14583056C2211yescharacteristic, complemented
149#14583056C2211yescharacteristic, complemented
150#14583054C2211yescharacteristic, complemented
151#14583053C2211yescharacteristic
152#14583053C2211yescharacteristic, complemented
153#14583051C2211yescharacteristic
154#14583048C2211yescharacteristic
155#14583045C2211yescharacteristic, complemented
156#14583043C2211yescharacteristic
157#14583042C2211yescharacteristic
158#14583041C2211yescharacteristic
159#14583041C2211yescharacteristic, complemented
160#14583039C2211yescharacteristic, complemented
161#14583037C2211yescharacteristic, complemented
162#14583036C2211yescharacteristic, complemented
163#14583004C2211yescharacteristic, complemented
164#14582999C2211yescharacteristic, complemented
165C4×#10621885C2211yescharacteristic, complemented
166C4×#10621883C2211yescharacteristic, complemented
167#14582978C2211yescharacteristic
168#14582978C2211yescharacteristic, complemented
169#14582976C2211yescharacteristic
170#14582976C2211yescharacteristic, complemented
171#14582972C2211yescharacteristic
172#14582972C2211yescharacteristic, complemented
173#14582969C2211yescharacteristic
174#14582969C2211yescharacteristic, complemented
175#14582960C2211yescharacteristic, complemented
176#14582906C2211yescharacteristic
177#14582906C2211yescharacteristic, complemented
178#14582902C2211yescharacteristic
179#14582899C2211yescharacteristic
180#14582897C2211yescharacteristic
181#14582897C2211yescharacteristic, complemented
182#14582892C2211yescharacteristic, complemented
183#103×D43C2211yescharacteristic, complemented
184#14582864C2211yescharacteristic, complemented
185#14582864C2211yescharacteristic, complemented
186#14582861C2211yescharacteristic
187#14582861C2211yescharacteristic
188C43×#542C2211yescharacteristic, complemented
189C43×#520C2211yescharacteristic
190C43×#483C2211yescharacteristic, complemented
191C43×#481C2211yescharacteristic, complemented
192C43×#476C2211yescharacteristic, complemented
193C43×#475C2211yescharacteristic, complemented
194C43×#464C2211yescharacteristic, complemented
195C43×#463C2211yescharacteristic, complemented
196C43×#452C2211yescharacteristic
197C43×#449C2211yescharacteristic
198C43×#442C2211yescharacteristic, complemented
199C43×#441C2211yescharacteristic, complemented
200C4×SD16×C43C2211yescharacteristic, complemented
201C4×SD16×C43C2211yescharacteristic, complemented
202C43×#433C2211yescharacteristic, complemented
203#13063372—42no—
204#13063372—42no—
205C2×#10621902C2311yescharacteristic
206C2×#10621898—21no—
207C2×#10621898—21no—
208C2×#10621898C2311yescharacteristic
209C2×#10621898C2311yescharacteristic
210C2×#10621900—21no—
211C2×#10621900—21no—
212C2×#10621900—21no—
213C2×#10621900C2311yescharacteristic
214C2×#10621900C2311yescharacteristic
215C2×#10621900C2311yescharacteristic
216C2×#10621900C2311yescharacteristic
217C2×#10621900C2311yescharacteristic
218#41×D43—42no—
219#41×D43—42no—
220C22×Dic86—21no—
221C22×Dic86C2311yescharacteristic
222C2×Q8×D43C2311yescharacteristic
223C2×Q8×D43C2311yescharacteristic
224C2×Q8×D43C2311yescharacteristic
225C2×Q8×D43C2311yescharacteristic
226C2×Q8×D43C2311yescharacteristic
227C2×D4×D43—21no—
228C2×D4×D43C2311yescharacteristic
229C22×C4×D43—21no—
230C22×C4×D43C2311yescharacteristic
231#13063357—42no—
232#13063354—42no—
233#13063354—42no—
234#13063354—42no—
235#13063354—42no—
236#13063349—42no—
237#13063344—42no—
238C2×Dic172C2311yescharacteristic
239C2×Dic172C2311yescharacteristic
240C2×Dic172C2311yescharacteristic
241C2×Dic172C2311yescharacteristic
242C2×Dic172C2311yescharacteristic
243C2×Dic172C2311yescharacteristic
244C2×#10621885C2311yescharacteristic
245C2×#10621885C2311yescharacteristic
246C2×#10621885C2311yescharacteristic
247C2×#10621885C2311yescharacteristic
248C2×#10621885C2311yescharacteristic
249Q16×D43—42no—
250C2×#10621873C2311yescharacteristic
251C2×#10621873C2311yescharacteristic
252C2×#10621883C2311yescharacteristic
253C2×#10621883C2311yescharacteristic
254C2×#10621883C2311yescharacteristic
255C2×#10621883C2311yescharacteristic
256C2×#10621883C2311yescharacteristic
257C2×#10621884C2311yescharacteristic
258C2×#10621882C2311yescharacteristic
259C2×#10621872C2311yescharacteristic
260C2×#10621872C2311yescharacteristic
261C2×#10621872C2311yescharacteristic
262C2×#10621872C2311yescharacteristic
263C2×#10621872C2311yescharacteristic
264C2×#10621872C2311yescharacteristic
265C2×C8×D43C2311yescharacteristic
266C2×C8×D43C2311yescharacteristic
267#13063325—21no—
268#13063325—21no—
269#13063325—21no—
270#13063325C2311yescharacteristic
271#13063325C2311yescharacteristic
272#13063325C2311yescharacteristic
273#13063324—21no—
274#13063320—21no—
275#13063320—21no—
276#13063319—21no—
277#13063318—21no—
278#13063318—21no—
279#13063318—21no—
280#13063317C2311yescharacteristic
281#13063316—21no—
282#13063315—21no—
283#13063315—21no—
284#13063315—21no—
285#13063314—21no—
286#13063313—21no—
287#13063313—21no—
288#13063313C2311yescharacteristic
289#13063313C2311yescharacteristic
290#13063311—21no—
291#13063311—21no—
292#13063311—21no—
293#13063310—21no—
294#13063310—21no—
295#13063309—21no—
296#13063309—21no—
297#13063309—21no—
298#13063309—21no—
299#13063309—21no—
300#13063309—21no—
301#13063309—21no—
302#13063309—21no—
303#13063309—21no—
304#13063309—21no—
305#13063309D411yescharacteristic
306#13063309D411yescharacteristic
307#13063308—21no—
308#13063307—21no—
309#13063307—21no—
310#13063305—21no—
311#13063305—21no—
312#13063305—21no—
313#13063305—21no—
314#13063305—21no—
315#13063305—21no—
316#13063305—21no—
317#13063305—21no—
318#13063305—21no—
319#13063305—21no—
320#13063305—21no—
321#13063305—21no—
322#13063305—21no—
323#13063305D411yescharacteristic
324#13063305D411yescharacteristic
325#13063305C2311yescharacteristic
326#13063305C2311yescharacteristic
327#13063305C2311yescharacteristic
328#13063305C2311yescharacteristic
329#13063305C2311yescharacteristic
330#13063305C2311yescharacteristic
331#13063305C2311yescharacteristic
332#13063305C2311yescharacteristic
333#13063305C2311yescharacteristic
334#13063305C2311yescharacteristic
335#13063304C2311yescharacteristic
336#13063304C2311yescharacteristic
337#13063303—21no—
338#13063302—21no—
339#13063302—21no—
340#13063302—21no—
341#13063302—21no—
342#13063301—21no—
343#13063301—21no—
344#13063301C2311yescharacteristic
345#13063301C2311yescharacteristic
346#13063300—21no—
347#13063300—21no—
348#13063300—21no—
349#13063300D411yescharacteristic
350#13063300D411yescharacteristic
351#13063300C2311yescharacteristic
352#13063300C2311yescharacteristic
353#13063299—21no—
354#13063299—21no—
355#13063299—21no—
356#13063299—21no—
357#13063299—21no—
358#13063299—21no—
359#13063299—21no—
360#13063298—21no—
361#13063298—21no—
362#13063298—21no—
363#13063298—21no—
364#13063297—21no—
365#13063296—21no—
366#13063296C2311yescharacteristic
367#13063296C2311yescharacteristic
368#13063295—21no—
369#13063295—21no—
370#13063295D411yescharacteristic
371#13063295D411yescharacteristic
372#13063293—21no—
373Q8×Dic43—21no—
374C4×Dic86C2311yescharacteristic
375C4×Dic86C2311yescharacteristic
376C4×D172—21no—
377C4×D172—21no—
378C4×D172—21no—
379C4×D172—21no—
380C4×D172—21no—
381C4×D172C2311yescharacteristic
382C4×D172C2311yescharacteristic
383C4×D172C2311yescharacteristic
384C4×D172C2311yescharacteristic
385D4×Dic43—21no—
386#13063287—21no—
387C4×C22⋊D43—21no—
388(C22⋊D43)⋊C4—21no—
389(C22⋊D43)⋊C4—21no—
390(C22⋊D43)⋊C4—21no—
391#13063283C2311yescharacteristic
392#13063283C2311yescharacteristic
393#13063282—21no—
394C2×C4⋊Dic43—21no—
395C2×C4⋊Dic43—21no—
396C2×C4⋊Dic43—21no—
397C2×C4⋊Dic43—21no—
398C4⋊C4×D43—21no—
399C4⋊C4×D43C2311yescharacteristic
400C4⋊C4×D43C2311yescharacteristic
401C2×(C2×D43)⋊C4—21no—
402C2×(C2×D43)⋊C4—21no—
403C2×(C2×D43)⋊C4—21no—
404C22⋊C4×D43—21no—
405#13063258C2311yescharacteristic
406#13063258C2311yescharacteristic
407#13063256C2311yescharacteristic
408#13063256C2311yescharacteristic
409C4⋊(C43⋊C8)C2311yescharacteristic
410C4⋊(C43⋊C8)C2311yescharacteristic
411#13063250C2311yescharacteristic
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#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(C2×D43)⋊C8C2311yescharacteristic
442(C2×D43)⋊C8C2311yescharacteristic
443(C2×D43)⋊C8C2311yescharacteristic
444(C2×D43)⋊C8C2311yescharacteristic
445#13063236C2311yescharacteristic
446C4×C43⋊C8C2311yescharacteristic
447C2×#41×C43C2311yescharacteristic
448C2×Q16×C43C2311yescharacteristic
449C2×SD16×C43C2311yescharacteristic
450C2×SD16×C43C2311yescharacteristic
451C2×D8×C43C2311yescharacteristic
452C4⋊Q8×C43C2311yescharacteristic
453#126×C43—21no—
454#124×C43—21no—
455#124×C43C2311yescharacteristic
456#123×C43—21no—
457C22⋊Q8×C43—21no—
458C22⋊Q8×C43C2311yescharacteristic
459#121×C43C2311yescharacteristic
460C4×Q8×C43C2311yescharacteristic
461C4×Q8×C43C2311yescharacteristic
462C4×Q8×C43C2311yescharacteristic
463C4×D4×C43—21no—
464C4×D4×C43—21no—
465C4×D4×C43C2311yescharacteristic
466C4×D4×C43C2311yescharacteristic
467C4×D4×C43C2311yescharacteristic
468#117×C43—21no—
469#117×C43C2311yescharacteristic
470C2×C4⋊C4×C43—21no—
471C2×C4⋊C4×C43C2311yescharacteristic
472#106×C43C2311yescharacteristic
473#106×C43C2311yescharacteristic
474#106×C43C2311yescharacteristic
475#106×C43C2311yescharacteristic
476C4⋊C8×C43C2311yescharacteristic
477C4⋊C8×C43C2311yescharacteristic
478#103×C43C2311yescharacteristic
479#103×C43C2311yescharacteristic
480#103×C43C2311yescharacteristic
481#103×C43C2311yescharacteristic
482#102×C43C2311yescharacteristic
483#102×C43C2311yescharacteristic
484#102×C43C2311yescharacteristic
485#102×C43C2311yescharacteristic
486C22⋊C8×C43C2311yescharacteristic
487C22⋊C8×C43C2311yescharacteristic
488#97×C43C2311yescharacteristic
489C4×C8×C43C2311yescharacteristic
490C23×D43—21no—
491C23×D43C2×D411yescharacteristic
492#41×C43—22no—
493#41×C43—22no—
494C2×Q8×C43—21no—
495C2×Q8×C43C2411yescharacteristic
496C2×Q8×C43C2411yescharacteristic
497C2×D4×C43—21no—
498C2×D4×C43—21no—
499C2×D4×C43C2411yescharacteristic
500C2×D4×C43C2411yescharacteristic
501C22×C4×C43—21no—
502C22×C4×C43—21no—
503C22×C4×C43—21no—
504C22×C4×C43—21no—
505C22×C4×C43—21no—
506C22×C4×C43C2411yescharacteristic
507C2×C22⋊D43—21no—
508C2×C22⋊D43—21no—
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⋊D43C2×D411yescharacteristic
517C2×C22⋊D43C2×D411yescharacteristic
518C22×Dic43—21no—
519C22×Dic43—21no—
520C22×Dic43—21no—
521C22×Dic43—21no—
522C22×Dic43—21no—
523C22×Dic43—21no—
524C22×Dic43C2×D411yescharacteristic
525#10621902—22no—
526#10621902—41no—
527Q8×D43—22no—
528Q8×D43—22no—
529Q8×D43—22no—
530Q8×D43—41no—
531Q8×D43—41no—
532Q8×D43—41no—
533Q8×D43—41no—
534Q8×D43—41no—
535Q8×D43—41no—
536Q8×D43—41no—
537#10621900—22no—
538#10621900—22no—
539#10621900—22no—
540#10621900—41no—
541#10621900—41no—
542#10621900—41no—
543#10621900—41no—
544#10621900—41no—
545#10621900—41no—
546#10621900—41no—
547#10621900—44no—
548#10621900—44no—
549#10621900—44no—
550D4×D43—22no—
551D4×D43—41no—
552D4×D43—44no—
553#10621898—41no—
554#10621898—41no—
555#10621898—41no—
556#10621898—41no—
557#10621898—44no—
558#10621898—44no—
559C2×D172—21no—
560C2×D172—21no—
561C2×D172—21no—
562C2×D172C2×D411yescharacteristic
563C2×D172C2×D411yescharacteristic
564C2×D172C2×D411yescharacteristic
565C2×D172C2×D411yescharacteristic
566C2×D172C2×D411yescharacteristic
567C2×D172C2411yescharacteristic
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×C4×D43C2411yescharacteristic
586C2×Dic86—21no—
587C2×Dic86—21no—
588C2×Dic86—21no—
589C2×Dic86—21no—
590C2×Dic86—21no—
591C2×Dic86—21no—
592C2×Dic86—41no—
593C2×Dic86—41no—
594C2×Dic86—44no—
595C2×Dic86C2×D411yescharacteristic
596C2×Dic86C2411yescharacteristic
597C2×Dic86C2411yescharacteristic
598C2×Dic86C2411yescharacteristic
599C2×Dic86C2411yescharacteristic
600C2×Dic86C2411yescharacteristic
601Q16×C43—22no—
602SD16×C43—22no—
603SD16×C43—22no—
604D8×C43—22no—
605C2×C8×C43C2411yescharacteristic
606C2×C8×C43C2411yescharacteristic
607C2×C8×C43C2411yescharacteristic
608C2×C8×C43C2411yescharacteristic
609C4⋊C4×C43—21no—
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×C43C2×D411yescharacteristic
617C4⋊C4×C43C2411yescharacteristic
618C4⋊C4×C43C2411yescharacteristic
619C4⋊C4×C43C2411yescharacteristic
620C4⋊C4×C43C2411yescharacteristic
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×C43—21no—
633C42×C43C2411yescharacteristic
634C42×C43C2411yescharacteristic
635C22⋊Dic43—21no—
636C22⋊Dic43—21no—
637C22⋊Dic43—21no—
638C22⋊Dic43—21no—
639#10621885—22no—
640#10621885—22no—
641#10621885—41no—
642#10621885—41no—
643#10621885—41no—
644#10621884—41no—
645#10621883—22no—
646#10621883—22no—
647#10621883—41no—
648#10621883—41no—
649#10621883—41no—
650#10621882—41no—
651(C2×D43)⋊C4—21no—
652(C2×D43)⋊C4—21no—
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
675(C2×D43)⋊C4C2×D411yescharacteristic
676(C2×D43)⋊C4C2×D411yescharacteristic
677(C2×D43)⋊C4C2×D411yescharacteristic
678(C2×D43)⋊C4C2×D411yescharacteristic
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⋊Dic43—21no—
691C4⋊Dic43—21no—
692C4⋊Dic43—21no—
693C4⋊Dic43—21no—
694C4⋊Dic43—21no—
695C4⋊Dic43C2×D411yescharacteristic
696C4⋊Dic43C2×D411yescharacteristic
697C4⋊Dic43C2×D411yescharacteristic
698C4⋊Dic43C2×D411yescharacteristic
699C4⋊Dic43C2411yescharacteristic
700C4⋊Dic43C2411yescharacteristic
701Dic43⋊C4—21no—
702Dic43⋊C4—21no—
703Dic43⋊C4—21no—
704Dic43⋊C4—21no—
705Dic43⋊C4—21no—
706Dic43⋊C4—21no—
707Dic43⋊C4—21no—
708Dic43⋊C4—21no—
709Dic43⋊C4—21no—
710Dic43⋊C4—21no—
711C4×Dic43—21no—
712C4×Dic43—21no—
713C4×Dic43—21no—
714C4×Dic43—21no—
715C2×C43⋊C8C2411yescharacteristic
716C2×C43⋊C8C2411yescharacteristic
717C2×C43⋊C8C2411yescharacteristic
718C2×C43⋊C8C2411yescharacteristic
719Dic172—41no—
720Dic172—41no—
721Dic172—41no—
722Dic172—41no—
723Dic172—41no—
724Dic172—41no—
725#10621873—41no—
726#10621873—41no—
727#10621872—41no—
728#10621872—41no—
729#10621872—41no—
730#10621872—41no—
731#10621872—41no—
732#10621872—41no—
733C8×D43—41no—
734C8×D43—41no—
735C23×C43—21no—
736C23×C43—21no—
737C23×C43C22×D411yescharacteristic
738C22×D43—21no—
739C22×D43—41no—
740C22×D43—41no—
741C22×D43—41no—
742C22×D43—42no—
743C22×D43—42no—
744C22×D43—81no—
745C22×D43C22×D411yescharacteristic
746C22×D43C22×D411yescharacteristic
747C22×D43C22×D411yescharacteristic
748C22×D43C22×D411yescharacteristic
749Q8×C43—21no—
750Q8×C43—21no—
751Q8×C43—21no—
752Q8×C43—81no—
753Q8×C43H(5,𝔽2)12yes—
754D4×C43—24no—
755D4×C43—21no—
756D4×C43—21no—
757D4×C43—21no—
758D4×C43—81no—
759D4×C43H(5,𝔽2)12yes—
760C2×C4×C43—24no—
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—81no—
770C2×C4×C43—81no—
771C2×C4×C43—81no—
772C2×C4×C43—81no—
773C2×C4×C43C22×D411yescharacteristic
774C2×C4×C43C22×D411yescharacteristic
775C2×C4×C43C22×D411yescharacteristic
776C2×C4×C43C22×D411yescharacteristic
777C2×C4×C43C22×D411yescharacteristic
778C2×C4×C43C2511yescharacteristic
779C22⋊D43—41no—
780C22⋊D43—41no—
781C22⋊D43—42no—
782C22⋊D43—42no—
783C22⋊D43—42no—
784C22⋊D43—42no—
785C22⋊D43—42no—
786C22⋊D43—42no—
787C22⋊D43—81no—
788C22⋊D43—81no—
789C22⋊D43—81no—
790C2×Dic43—21no—
791C2×Dic43—21no—
792C2×Dic43—21no—
793C2×Dic43—21no—
794C2×Dic43—21no—
795C2×Dic43—21no—
796C2×Dic43—21no—
797C2×Dic43—41no—
798C2×Dic43—42no—
799C2×Dic43—42no—
800C2×Dic43—42no—
801C2×Dic43—42no—
802C2×Dic43—81no—
803C2×Dic43—81no—
804C2×Dic43C22×D411yescharacteristic
805C2×Dic43C22×D411yescharacteristic
806C2×Dic43C22×D411yescharacteristic
807C2×Dic43C22×D411yescharacteristic
808D172—21no—
809D172—21no—
810D172—41no—
811D172—41no—
812D172—41no—
813D172—41no—
814D172—41no—
815D172—42no—
816D172—81no—
817D172—81no—
818C4×D43—21no—
819C4×D43—21no—
820C4×D43—21no—
821C4×D43—21no—
822C4×D43—21no—
823C4×D43—21no—
824C4×D43—21no—
825C4×D43—21no—
826C4×D43—41no—
827C4×D43—41no—
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—42no—
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—22no—
866C22×C43—21no—
867C22×C43—41no—
868C22×C43—41no—
869C22×C43—41no—
870C22×C43—41no—
871C22×C43—41no—
872C22×C43C23×D411yescharacteristic
873C2×D43—21no—
874C2×D43—21no—
875C2×D43—21no—
876C2×D43—21no—
877C2×D43—21no—
878C2×D43—21no—
879C2×D43—21no—
880C2×D43—21no—
881C2×D43—21no—
882C2×D43—21no—
883C2×D43—21no—
884C2×D43—21no—
885C2×D43—41no—
886C2×D43—41no—
887C2×D43—41no—
888C2×D43—82no—
889C2×D43—84no—
890C4×C43—21no—
891C4×C43—21no—
892C4×C43—21no—
893C4×C43—21no—
894C4×C43—21no—
895C4×C43—22no—
896C4×C43—41no—
897C4×C43—41no—
898C4×C43—41no—
899C4×C43—41no—
900C4×C43—41no—
901C4×C43C2×H(5,𝔽2)11yescharacteristic
902C4×C43C2×H(5,𝔽2)11yescharacteristic
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#3326—431no—
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#3125D4311yescharacteristic, complemented
939#3120—431no—
940#3013—431no—
941#3011—431no—
942#3007—431no—
943#3005—431no—
944#2978—431no—
945C2×C43—41no—
946C2×C43—42no—
947C2×C43—81no—
948C2×C43#348411yescharacteristic
949C2×C43#358611yescharacteristic
950C2×C43#358611yescharacteristic
951D43—41no—
952D43—41no—
953D43—41no—
954D43—41no—
955D43—81no—
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—431no—
972#553—861no—
973#552—431no—
974D4×Q8—431no—
975D4×Q8—431no—
976D4×Q8—431no—
977#548—431no—
978#548—431no—
979#548—431no—
980#548—431no—
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—861no—
991#542C2×D4311yescharacteristic, complemented
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#520C2×D4311yescharacteristic
1009#497—431no—
1010#497—431no—
1011#495—431no—
1012#494—431no—
1013#491—431no—
1014#489—431no—
1015#488—431no—
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#482—431no—
1027#481—431no—
1028#481C2×D4311yescharacteristic, complemented
1029#479—431no—
1030#478—431no—
1031#476C2×D4311yescharacteristic, complemented
1032#475C2×D4311yescharacteristic, complemented
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#469—431no—
1042#468—431no—
1043#468—431no—
1044#468—431no—
1045#467—431no—
1046#465—431no—
1047#465—431no—
1048#465—431no—
1049#464—431no—
1050#464—431no—
1051#464—431no—
1052#464C2×D4311yescharacteristic, complemented
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#452C2×D4311yescharacteristic
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#448—431no—
1097#442C2×D4311yescharacteristic, complemented
1098#441—431no—
1099#441C2×D4311yescharacteristic, complemented
1100#440—431no—
1101C4×Q16—431no—
1102C4×SD16—431no—
1103C4×SD16C2×D4311yescharacteristic, complemented
1104C4×SD16C2×D4311yescharacteristic, complemented
1105#436—431no—
1106#436—431no—
1107#436—431no—
1108#436—431no—
1109#435—431no—
1110#435—431no—
1111#435—431no—
1112#435—431no—
1113#433—431no—
1114#433C2×D4311yescharacteristic, complemented
1115#419—431no—
1116#419—431no—
1117#418—431no—
1118#417—431no—
1119#417—431no—
1120#417—431no—
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—431no—
1152C22×Q8—861no—
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—1722no—
1176C2×Q16C22×D4311yescharacteristic
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×M16—431no—
1194C2×M16—431no—
1195C22×C8—431no—
1196C22×C8—431no—
1197C4⋊Q8—431no—
1198C4⋊Q8—431no—
1199C4⋊Q8—431no—
1200C4⋊Q8—861no—
1201C4⋊Q8—861no—
1202C4⋊Q8—861no—
1203C4⋊Q8—861no—
1204C4⋊Q8C22×D4311yescharacteristic
1205#126—21no—
1206#126—861no—
1207#126—861no—
1208#126—861no—
1209#126—861no—
1210#126—861no—
1211#126—861no—
1212#125—431no—
1213#125—861no—
1214#125—861no—
1215#125—861no—
1216#125—861no—
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—431no—
1284#121—431no—
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#121—861no—
1304#121—861no—
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—861no—
1314C4×Q8C22×D4311yescharacteristic
1315C4×Q8C22×D4311yescharacteristic
1316C4×Q8C22×D4311yescharacteristic
1317C4×D4—21no—
1318C4×D4—21no—
1319C4×D4—431no—
1320C4×D4—431no—
1321C4×D4—431no—
1322C4×D4—431no—
1323C4×D4—861no—
1324C4×D4—861no—
1325C4×D4—861no—
1326C4×D4—861no—
1327C4×D4—861no—
1328C4×D4—861no—
1329C4×D4—861no—
1330C4×D4—861no—
1331C4×D4—861no—
1332C4×D4—861no—
1333C4×D4—861no—
1334C4×D4C22×D4311yescharacteristic
1335C4×D4C22×D4311yescharacteristic
1336C4×D4C22×D4311yescharacteristic
1337#117—21no—
1338#117—431no—
1339#117—431no—
1340#117—861no—
1341#117C22×D4311yescharacteristic
1342C2×C4⋊C4—21no—
1343C2×C4⋊C4—431no—
1344C2×C4⋊C4—431no—
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#107—431no—
1357#106—431no—
1358#106—431no—
1359#106C22×D4311yescharacteristic
1360#106C22×D4311yescharacteristic
1361#106C22×D4311yescharacteristic
1362#106C22×D4311yescharacteristic
1363C4⋊C8—431no—
1364C4⋊C8—431no—
1365C4⋊C8C22×D4311yescharacteristic
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#103—431no—
1384#103—431no—
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#97C22×D4311yescharacteristic
1413C4×C8—431no—
1414C4×C8C22×D4311yescharacteristic
1415C24—431no—
1416C24—861no—
1417#41—22no—
1418#41—22no—
1419#41—862no—
1420#41—862no—
1421#41—862no—
1422#41—862no—
1423#41—1721no—
1424#41—1721no—
1425#41—1721no—
1426#41—1721no—
1427#41—1724no—
1428#41—1724no—
1429#41—1721no—
1430#41—1721no—
1431#41—1721no—
1432#41—1721no—
1433#41—1721no—
1434#41—1721no—
1435#41—1721no—
1436#41—1721no—
1437#41—1724no—
1438#41—1724no—
1439#41—1724no—
1440C2×Q8—21no—
1441C2×Q8—431no—
1442C2×Q8—431no—
1443C2×Q8—431no—
1444C2×Q8—431no—
1445C2×Q8—431no—
1446C2×Q8—431no—
1447C2×Q8—861no—
1448C2×Q8—861no—
1449C2×Q8—861no—
1450C2×Q8—861no—
1451C2×Q8—861no—
1452C2×Q8—861no—
1453C2×Q8—862no—
1454C2×Q8—862no—
1455C2×Q8—862no—
1456C2×Q8—1721no—
1457C2×Q8—1721no—
1458C2×Q8—1724no—
1459C2×Q8—1721no—
1460C2×Q8—1721no—
1461C2×Q8—1721no—
1462C2×Q8—1721no—
1463C2×Q8—1721no—
1464C2×Q8—1721no—
1465C2×Q8—1721no—
1466C2×Q8C23×D4311yescharacteristic
1467C2×Q8C23×D4311yescharacteristic
1468C2×D4—21no—
1469C2×D4—21no—
1470C2×D4—431no—
1471C2×D4—431no—
1472C2×D4—431no—
1473C2×D4—431no—
1474C2×D4—431no—
1475C2×D4—431no—
1476C2×D4—431no—
1477C2×D4—431no—
1478C2×D4—861no—
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—861no—
1491C2×D4—1721no—
1492C2×D4—1724no—
1493C2×D4C23×D4311yescharacteristic
1494C2×D4C23×D4311yescharacteristic
1495C22×C4—21no—
1496C22×C4—21no—
1497C22×C4—21no—
1498C22×C4—21no—
1499C22×C4—21no—
1500C22×C4—431no—
1501C22×C4—431no—
1502C22×C4—431no—
1503C22×C4—431no—
1504C22×C4—431no—
1505C22×C4—431no—
1506C22×C4—431no—
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—861no—
1522C22×C4—1721no—
1523C22×C4—1721no—
1524C22×C4—1724no—
1525C22×C4C23×D4311yescharacteristic
1526Q16—22no—
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—22no—
1540SD16—862no—
1541SD16—862no—
1542SD16—1721no—
1543SD16—1721no—
1544SD16—1721no—
1545SD16—1721no—
1546SD16—1721no—
1547SD16—1721no—
1548D8—22no—
1549D8—1721no—
1550M16—1721no—
1551M16—1721no—
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—21no—
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⋊C4D4×D4311yescharacteristic
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—431no—
1618C22⋊C4—431no—
1619C22⋊C4—431no—
1620C22⋊C4—431no—
1621C22⋊C4—431no—
1622C22⋊C4—431no—
1623C22⋊C4—431no—
1624C22⋊C4—431no—
1625C22⋊C4—861no—
1626C22⋊C4—861no—
1627C22⋊C4—861no—
1628C22⋊C4—861no—
1629C22⋊C4—861no—
1630C22⋊C4—861no—
1631C22⋊C4—861no—
1632C22⋊C4—861no—
1633C22⋊C4—861no—
1634C22⋊C4—861no—
1635C22⋊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—21no—
1654C42—861no—
1655C42—861no—
1656C42—861no—
1657C42—861no—
1658C42C23×D4311yescharacteristic
1659C42C23×D4311yescharacteristic
1660C23—21no—
1661C23—21no—
1662C23—431no—
1663C23—431no—
1664C23—431no—
1665C23—431no—
1666C23—861no—
1667C23—3441no—
1668C23—1721no—
1669C23—1721no—
1670C23—1721no—
1671C23—1722no—
1672C23—1722no—
1673C23C2×D4×D4311yescharacteristic
1674Q8—21no—
1675Q8—21no—
1676Q8—21no—
1677Q8—81no—
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—1721no—
1691Q8—1722no—
1692Q8—1722no—
1693Q8—1722no—
1694Q8—1722no—
1695Q8#1306337112yes—
1696D4—24no—
1697D4—21no—
1698D4—21no—
1699D4—21no—
1700D4—81no—
1701D4—861no—
1702D4—861no—
1703D4—3441no—
1704D4—3441no—
1705D4—3441no—
1706D4—3441no—
1707D4—3441no—
1708D4—1721no—
1709D4—1721no—
1710D4—1721no—
1711D4—1721no—
1712D4—1721no—
1713D4—1722no—
1714D4—1721no—
1715D4—1721no—
1716D4—1722no—
1717D4—1722no—
1718D4—1722no—
1719D4—1722no—
1720D4—1722no—
1721D4—1722no—
1722D4#1306337112yes—
1723C2×C4—24no—
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—81no—
1733C2×C4—81no—
1734C2×C4—81no—
1735C2×C4—81no—
1736C2×C4—431no—
1737C2×C4—431no—
1738C2×C4—431no—
1739C2×C4—431no—
1740C2×C4—861no—
1741C2×C4—861no—
1742C2×C4—861no—
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—3441no—
1756C2×C4—3441no—
1757C2×C4—3441no—
1758C2×C4—3441no—
1759C2×C4—3441no—
1760C2×C4—3441no—
1761C2×C4—1721no—
1762C2×C4—1721no—
1763C2×C4—1722no—
1764C2×C4—1722no—
1765C2×C4—1722no—
1766C2×C4—1722no—
1767C2×C4—1722no—
1768C2×C4—1721no—
1769C2×C4—1722no—
1770C2×C4—1722no—
1771C2×C4—1722no—
1772C2×C4—1722no—
1773C2×C4C2×D4×D4311yescharacteristic
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—22no—
1791C22—41no—
1792C22—41no—
1793C22—41no—
1794C22—41no—
1795C22—41no—
1796C22—861no—
1797C22—861no—
1798C22—861no—
1799C22—861no—
1800C22—861no—
1801C22—861no—
1802C22—861no—
1803C22—861no—
1804C22—861no—
1805C22—861no—
1806C22—861no—
1807C22—861no—
1808C22—3444no—
1809C22—3442no—
1810C22—1721no—
1811C22—1721no—
1812C22—1721no—
1813C22C22×D4×D4311yescharacteristic
1814C4—21no—
1815C4—21no—
1816C4—21no—
1817C4—21no—
1818C4—21no—
1819C4—22no—
1820C4—41no—
1821C4—41no—
1822C4—41no—
1823C4—41no—
1824C4—41no—
1825C4—861no—
1826C4—861no—
1827C4—861no—
1828C4—861no—
1829C4—1721no—
1830C4—1721no—
1831C4—1721no—
1832C4—1721no—
1833C4—1721no—
1834C4—1721no—
1835C4—1721no—
1836C4C2×#1306337111yescharacteristic
1837C4C2×#1306337111yescharacteristic
1838C2—41no—
1839C2—42no—
1840C2—81no—
1841C2—3441no—
1842C2—1721no—
1843C2—1721no—
1844C2—1721no—
1845C2—1721no—
1846C2#1914822811yescharacteristic
1847C2#1914937711yescharacteristic
1848C2#1914937711yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3125C2
socleC22×C43C23×D4
hypercenter#3125D43
hypocenterC43#61655
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ #117 ◁ #3125

Complements

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

NH ≅ G/Ntype
1. #19148884C2semidirect
2. #19148276C2semidirect
3. #19146908C2semidirect
4. #19146875C2semidirect
5. #19146853C2semidirect
6. #19146816C2semidirect
7. #19146703C2semidirect
8. #19146651C2semidirect
9. #19146628C2semidirect
10. #19146576C2semidirect
11. #19146247C2semidirect
12. #19146242C2semidirect
13. #19146242C2semidirect
14. #19146232C2semidirect
15. #19146167C2semidirect
16. #19146160C2semidirect
17. #19146156C2semidirect
18. #19146122C2semidirect
19. #19145698C2semidirect
20. #19145680C2semidirect
21. #19145508C2semidirect
22. #19145484C2semidirect
23. #19145424C2semidirect
24. #19145418C2semidirect
25. #19144809C2semidirect
26. #19143908C2semidirect
27. #19143887C2semidirect
28. #19143852C2semidirect
29. #19143833C2semidirect
30. #19143656C2semidirect
31. C43×#3125C2semidirect
37. C2×#13063354C22semidirect
38. C2×#13063354C22semidirect
40. C2×#13063344C22semidirect
41. C2×Q16×D43C22semidirect
45. #14583610C22semidirect
48. #14583599C22semidirect
52. Q8×D172C22semidirect
56. #14583557C22semidirect
67. #14583511C22semidirect
73. #14583478C22semidirect
76. #14583472C22semidirect
83. #14583294C22semidirect
84. #14583293C22semidirect
85. #14583281C22semidirect
86. #14583279C22semidirect
87. #14583268C22semidirect
88. #14583261C22semidirect
89. #14583254C22semidirect
90. #14583251C22semidirect
93. #14583243C22semidirect
94. #14583234C22semidirect
95. #14583231C22semidirect
96. #14583231C22semidirect
97. #14583231C22semidirect
98. #14583229C22semidirect
99. #14583225C22semidirect
100. #14583219C22semidirect
101. #14583206C22semidirect
102. #14583199C22semidirect
105. #14583158C22semidirect
106. #14583158C22semidirect
107. #14583158C22semidirect
108. #14583158C22semidirect
111. #14583151C22semidirect
112. #14583148C22semidirect
113. #14583144C22semidirect
114. #14583144C22semidirect
115. #14583139C22semidirect
116. #14583129C22semidirect
117. #14583129C22semidirect
118. #14583127C22semidirect
119. #14583122C22semidirect
120. #14583122C22semidirect
121. #14583121C22semidirect
122. #14583114C22semidirect
123. #14583110C22semidirect
124. #14583110C22semidirect
125. #14583109C22semidirect
126. #14583109C22semidirect
127. #14583104C22semidirect
128. #14583104C22semidirect
135. #14583062C22semidirect
136. #14583062C22semidirect
137. #14583062C22semidirect
141. #14583058C22semidirect
142. #14583057C22semidirect
143. #14583057C22semidirect
145. #14583056C22semidirect
146. #14583056C22semidirect
147. #14583056C22semidirect
148. #14583056C22semidirect
149. #14583056C22semidirect
150. #14583054C22semidirect
152. #14583053C22semidirect
155. #14583045C22semidirect
159. #14583041C22semidirect
160. #14583039C22semidirect
161. #14583037C22semidirect
162. #14583036C22semidirect
163. #14583004C22semidirect
164. #14582999C22semidirect
165. C4×#10621885C22semidirect
166. C4×#10621883C22semidirect
168. #14582978C22semidirect
170. #14582976C22semidirect
172. #14582972C22semidirect
174. #14582969C22semidirect
175. #14582960C22semidirect
177. #14582906C22semidirect
181. #14582897C22semidirect
182. #14582892C22semidirect
183. #103×D43C22semidirect
184. #14582864C22semidirect
185. #14582864C22semidirect
188. C43×#542C22semidirect
190. C43×#483C22semidirect
191. C43×#481C22semidirect
192. C43×#476C22semidirect
193. C43×#475C22semidirect
194. C43×#464C22semidirect
195. C43×#463C22semidirect
198. C43×#442C22semidirect
199. C43×#441C22semidirect
200. C4×SD16×C43C22semidirect
201. C4×SD16×C43C22semidirect
202. C43×#433C22semidirect
938. #3125D43semidirect
991. #542C2×D43semidirect
1025. #483C2×D43semidirect
1028. #481C2×D43semidirect
1031. #476C2×D43semidirect
1032. #475C2×D43semidirect
1052. #464C2×D43semidirect
1054. #463C2×D43semidirect
1097. #442C2×D43semidirect
1099. #441C2×D43semidirect
1103. C4×SD16C2×D43semidirect
1104. C4×SD16C2×D43semidirect
1114. #433C2×D43semidirect
1127. C43#61655semidirect

Maximal subgroups

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

subgroupindex
#191488842
#191482762
#191469082
#191468752
#191468532
#191468162
#191467032
#191466512
#191466282
#191465762
#191462472
#191462422
#191462322
#191461672
#191461602
#191461562
#191461222
#191456982
#191456802
#191455082
#191454842
#191454242
#191454182
#191448092
#191439082
#191438872
#191438522
#191438332
#191436562
C43×#31252
#6165543