Finite Group Databasebeta

← D11×#3056 #15620923

Subgroups — D11×#3056 #15620923

Order 2816.

2898 conjugacy classes of subgroups.

The subgroup lattice has 1580 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×D11×#137C211yesmaximal, characteristic, complemented
2C22×M16×D11C211yesmaximal, characteristic, complemented
3D11×#525C211yesmaximal, characteristic
4C2×D11×C22⋊Q8C211yesmaximal, characteristic, complemented
5#13078249C211yesmaximal, characteristic, complemented
6#13078248C211yesmaximal, characteristic, complemented
7#13078247C211yesmaximal, characteristic, complemented
8#13078246C211yesmaximal, characteristic, complemented
9#13078245C212yesmaximal, complemented
10#13078244C211yesmaximal, characteristic, complemented
11#13078243C212yesmaximal, complemented
12#13078242C211yesmaximal, characteristic, complemented
13#13078241C212yesmaximal, complemented
14#13078240C211yesmaximal, characteristic, complemented
15#13078239C212yesmaximal, complemented
16D11×#470C212yesmaximal, complemented
17D11×#468C212yesmaximal, complemented
18D11×#467C212yesmaximal, complemented
19D11×#465C212yesmaximal, complemented
20D11×#428C211yesmaximal, characteristic, complemented
21D11×#417C211yesmaximal, characteristic, complemented
22D11×#419C211yesmaximal, characteristic, complemented
23C11×#3056C211yesmaximal, characteristic, complemented
24C2×#41×D11C2211yescharacteristic
25C22×Q8×D11C2211yescharacteristic
26C23×C4×D11C2211yescharacteristic
27C2×C11×#137C2211yescharacteristic, complemented
28C22×C11×M16C2211yescharacteristic, complemented
29C11×#525C2211yescharacteristic
30C2×C11×C22⋊Q8C2211yescharacteristic, complemented
31#10623359C2211yescharacteristic
32C2×#67004C2211yescharacteristic, complemented
33C2×#66999C2211yescharacteristic, complemented
34C2×#66995C2211yescharacteristic, complemented
35#10623322C2211yescharacteristic
36C2×#66977C2211yescharacteristic, complemented
37C22×#4318C2211yescharacteristic, complemented
38D11×#137—28no—
39C2×#66971C2212yescomplemented
40C2×Q16×D11C2212yescomplemented
41C2×#66968C2212yescomplemented
42C2×SD16×D11C2212yescomplemented
43C2×#66962C2211yescharacteristic, complemented
44C2×M16×D11—28no—
45C2×M16×D11C2211yescharacteristic
46C2×M16×D11C2212yes—
47C2×M16×D11C2211yescharacteristic
48C2×M16×D11C2211yescharacteristic, complemented
49C2×M16×D11C2212yescomplemented
50C2×M16×D11C2211yescharacteristic, complemented
51C22×#4313C2212yescomplemented
52C22×C8×D11C2212yes—
53#10623187—21no—
54D11×#123—21no—
55#10623158C2211yescharacteristic
56#10623158C2211yescharacteristic
57D11×C22⋊Q8—21no—
58D11×C22⋊Q8—21no—
59D11×C22⋊Q8—21no—
60D11×C22⋊Q8—21no—
61D11×C22⋊Q8C2212yes—
62D11×C22⋊Q8C2211yescharacteristic
63D11×C22⋊Q8C2212yes—
64D11×C22⋊Q8C2211yescharacteristic
65D11×C22⋊Q8C2212yescomplemented
66D11×C22⋊Q8C2212yescomplemented
67#10623137C2211yescharacteristic
68#10623137C2211yescharacteristic
69D11×#121C2211yescharacteristic
70D11×#121C2211yescharacteristic
71D11×#120—21no—
72#10623117—21no—
73#10623078—21no—
74#10623078—21no—
75C4×D4×D11—21no—
76C4×D4×D11—21no—
77#10623055C2211yescharacteristic
78D11×#117C2211yescharacteristic
79C2×#66950C2211yescharacteristic, complemented
80C2×#66949—21no—
81C2×C4⋊C4×D11—21no—
82C2×C4⋊C4×D11C2211yescharacteristic
83C2×C22⋊C4×D11—21no—
84C2×#66931—21no—
85C11×#470C2212yescomplemented
86C11×#468C2212yescomplemented
87C11×#467C2212yescomplemented
88C11×#465C2212yescomplemented
89C11×#428C2211yescharacteristic, complemented
90C11×#419C2211yescharacteristic, complemented
91C11×#417C2211yescharacteristic, complemented
92#10622845C2211yescharacteristic, complemented
93#10622838C2211yescharacteristic, complemented
94#10622802C2212yescomplemented
95#10622801C2212yescomplemented
96#10622787C2212yescomplemented
97#10622784C2212yescomplemented
98#10622750C2212yescomplemented
99#10622747C2212yescomplemented
100#10622746C2211yescharacteristic, complemented
101#10622734C2211yescharacteristic, complemented
102#10622733C2211yescharacteristic, complemented
103#10622729C2212yescomplemented
104#10622727C2212yescomplemented
105#10622665C2212yescomplemented
106#10622665C2212yescomplemented
107#10622664C2212yescomplemented
108#10622664C2212yescomplemented
109#10622662C2212yescomplemented
110#10622661C2212yescomplemented
111#10622655C2212yescomplemented
112#10622654C2212yescomplemented
113#10622617C2211yescharacteristic, complemented
114#10622608C2211yescharacteristic, complemented
115#10622579C2211yescharacteristic, complemented
116#10622577C2211yescharacteristic, complemented
117#10622500C2212yescomplemented
118#10622499C2212yescomplemented
119#10622494C2212yescomplemented
120D11×#107C2212yescomplemented
121#10622481C2212yescomplemented
122#10622477C2212yescomplemented
123#10622474C2212yescomplemented
124D11×#106C2212yescomplemented
125#10622429C2212yescomplemented
126#10622429C2212yescomplemented
127#10622426C2212yescomplemented
128#10622426C2212yescomplemented
129#10622425C2212yescomplemented
130#10622420C2212yescomplemented
131#10622416C2212yescomplemented
132#10622415C2212yescomplemented
133#10622415C2212yescomplemented
134D11×#103C2212yescomplemented
135D11×#103C2212yescomplemented
136D11×#103C2212yescomplemented
137#10622393C2212yescomplemented
138#10622391C2212yescomplemented
139#10622384C2212yescomplemented
140D11×#102C2212yescomplemented
141C24×D11D411yescharacteristic
142C2×C11×#41C2311yescharacteristic
143C22×Q8×C11C2311yescharacteristic
144C23×C4×C11C2311yescharacteristic
145C23×Dic11D411yescharacteristic
146#41×D11—24no—
147#41×D11—24no—
148C2×#4343C2311yescharacteristic
149C2×Q8×D11—21no—
150C2×Q8×D11—21no—
151C2×Q8×D11—24no—
152C2×Q8×D11—24no—
153C2×Q8×D11C2312yes—
154C2×Q8×D11C2312yes—
155C2×Q8×D11C2311yescharacteristic
156C2×#4341—21no—
157C2×#4341C2311yescharacteristic
158C2×D4×D11—21no—
159C2×D4×D11—21no—
160C2×D4×D11—21no—
161C2×D4×D11C2311yescharacteristic
162C2×#4339—21no—
163C2×#4339C2311yescharacteristic
164C22×C4×D11—24no—
165C22×C4×D11—24no—
166C22×C4×D11—21no—
167C22×C4×D11—21no—
168C22×C4×D11—21no—
169C22×C4×D11D411yescharacteristic
170C22×C4×D11D411yescharacteristic
171C22×C4×D11D411yescharacteristic
172C22×C4×D11D411yescharacteristic
173C22×C4×D11D411yescharacteristic
174C22×C4×D11D411yescharacteristic
175C22×C4×D11C2311yescharacteristic
176C22×C4×D11C2311yescharacteristic
177C22×C4×D11C2311yescharacteristic
178C22×C4×D11C2311yescharacteristic
179C22×C4×D11C2311yescharacteristic
180C22×C4×D11C2311yescharacteristic
181C22×Dic22—21no—
182C22×Dic22C2311yescharacteristic
183C11×#137—24no—
184C2×C11×Q16C2312yescomplemented
185C2×C11×SD16C2312yescomplemented
186C2×C11×M16—24no—
187C2×C11×M16C2311yescharacteristic
188C2×C11×M16C2312yes—
189C2×C11×M16C2311yescharacteristic
190C22×C8×C11C2312yes—
191C11×#123—21no—
192C11×C22⋊Q8—21no—
193C11×C22⋊Q8—21no—
194C11×C22⋊Q8C2312yes—
195C11×C22⋊Q8C2312yes—
196C11×C22⋊Q8C2311yescharacteristic
197C11×C22⋊Q8C2311yescharacteristic
198C11×#121C2311yescharacteristic
199C11×#121C2311yescharacteristic
200C11×#120—21no—
201C4×D4×C11—21no—
202C4×D4×C11—21no—
203C11×#117C2311yescharacteristic
204C2×C11×C4⋊C4—21no—
205C2×C11×C4⋊C4C2311yescharacteristic
206C2×C11×C22⋊C4—21no—
207#67006—21no—
208C2×C22⋊Dic11—21no—
209#67004—24no—
210#66999—21no—
211#66999—21no—
212#66999C2312yes—
213#66999C2312yes—
214#66999C2311yescharacteristic
215#66999C2311yescharacteristic
216C2×#4326C2312yescomplemented
217C2×#4326C2312yescomplemented
218#66995—24no—
219C2×#4325C2312yescomplemented
220#66992—21no—
221#66992—21no—
222#66991C2311yescharacteristic
223#66991C2311yescharacteristic
224#66990—21no—
225#66990—21no—
226#66990—21no—
227#66988—21no—
228D4×Dic11—21no—
229D4×Dic11—21no—
230C2×#4324C2312yescomplemented
231#66983C2311yescharacteristic
232#66983C2311yescharacteristic
233#66982—21no—
234C4×C22⋊D11—21no—
235C4×C22⋊D11—21no—
236C4×C22⋊D11—21no—
237C4×C22⋊D11—21no—
238C2×(C2×D11)⋊C4—21no—
239C2×(C2×D11)⋊C4—21no—
240#66979C2311yescharacteristic
241C2×C4⋊Dic11—21no—
242C2×C4⋊Dic11C2311yescharacteristic
243#66977—21no—
244#66977—21no—
245#66977C2312yes—
246#66977C2311yescharacteristic
247#66977C2312yes—
248#66977C2311yescharacteristic
249C2×Dic11⋊C4—21no—
250C2×Dic11⋊C4—21no—
251C2×Dic11⋊C4—21no—
252C2×#4318—24no—
253C2×#4318C2311yescharacteristic
254C2×#4318C2312yes—
255C2×#4318C2311yescharacteristic
256C22×C11⋊C8C2312yes—
257#66971—28no—
258Q16×D11—28no—
259#66968—28no—
260SD16×D11—28no—
261#66962—24no—
262M16×D11—24no—
263M16×D11—24no—
264M16×D11—24no—
265M16×D11—28no—
266M16×D11—28no—
267M16×D11D418yescomplemented
268C2×Dic44C2312yescomplemented
269C2×#4314C2312yescomplemented
270C2×#4313—28no—
271C2×#4313C2312yes—
272C2×#4313C2312yes—
273C2×#4313C2312yes—
274C2×#4313C2312yes—
275C2×C8×D11—28no—
276C2×C8×D11C2312yes—
277C2×C8×D11C2312yes—
278C2×C8×D11C2312yes—
279C2×C8×D11C2312yes—
280#66950—21no—
281#66950—21no—
282#66950C2312yes—
283#66950C2311yescharacteristic
284#66950C2312yes—
285#66950C2311yescharacteristic
286#66949—22no—
287#66949—22no—
288#66949—22no—
289#66949—22no—
290#66949—21no—
291#66949—21no—
292#66948C2311yescharacteristic
293#66948C2311yescharacteristic
294#66947—21no—
295#66947—21no—
296#66946—21no—
297#66946—21no—
298#66945C2311yescharacteristic
299#66945C2311yescharacteristic
300C4⋊C4×D11—22no—
301C4⋊C4×D11—22no—
302C4⋊C4×D11—22no—
303C4⋊C4×D11—22no—
304C4⋊C4×D11—21no—
305C4⋊C4×D11—21no—
306C4⋊C4×D11—21no—
307C4⋊C4×D11—21no—
308C4⋊C4×D11C2311yescharacteristic
309C4⋊C4×D11C2312yes—
310C4⋊C4×D11C2312yes—
311C4⋊C4×D11C2311yescharacteristic
312#66939—21no—
313#66937—21no—
314#66937—21no—
315#66936—21no—
316#66936—21no—
317#66935—21no—
318#66935—21no—
319#66935—21no—
320(C22⋊D11)⋊C4—21no—
321(C22⋊D11)⋊C4—21no—
322(C22⋊D11)⋊C4—21no—
323(C22⋊D11)⋊C4—21no—
324C22⋊C4×D11—22no—
325C22⋊C4×D11—22no—
326C22⋊C4×D11—22no—
327C22⋊C4×D11—22no—
328C22⋊C4×D11—21no—
329C22⋊C4×D11—21no—
330C22⋊C4×D11—21no—
331C22⋊C4×D11—21no—
332C22⋊C4×D11—21no—
333#66931—22no—
334#66931—22no—
335#66931—22no—
336#66931—22no—
337#66931—21no—
338#66931—21no—
339#66930—21no—
340C4×D44—21no—
341C4×D44—21no—
342#66925—21no—
343C42×D11—21no—
344C11×#107C2312yescomplemented
345C11×#106C2312yescomplemented
346C11×#103C2312yescomplemented
347C11×#103C2312yescomplemented
348C11×#103C2312yescomplemented
349C11×#102C2312yescomplemented
350#66899C2312yescomplemented
351#66899C2312yescomplemented
352#66899C2312yescomplemented
353#66896C2312yescomplemented
354#66885C2312yescomplemented
355#66882C2312yescomplemented
356#66881C2312yescomplemented
357#66880C2312yescomplemented
358#66880C2312yescomplemented
359#66880C2312yescomplemented
360#66874C2312yescomplemented
361#66874C2312yescomplemented
362#66874C2312yescomplemented
363#66873C2312yescomplemented
364#66872C2312yescomplemented
365#66872C2312yescomplemented
366#66871C2312yescomplemented
367#66871C2312yescomplemented
368C2×#3056—111nomaximal, Sylow
369C24×C11C2×D411yescharacteristic
370C23×D11—24no—
371C23×D11—24no—
372C23×D11—21no—
373C23×D11—42no—
374C23×D11C2×D411yescharacteristic
375C23×D11C2×D411yescharacteristic
376C23×D11C2×D411yescharacteristic
377C23×D11C2×D411yescharacteristic
378C23×D11C2×D411yescharacteristic
379C23×D11C2×D411yescharacteristic
380C11×#41—22no—
381C11×#41—22no—
382C2×Q8×C11—21no—
383C2×Q8×C11—22no—
384C2×Q8×C11—22no—
385C2×Q8×C11C2412yes—
386C2×Q8×C11C2411yescharacteristic
387C2×D4×C11—21no—
388C2×D4×C11—21no—
389C2×D4×C11—21no—
390C2×D4×C11C2411yescharacteristic
391C22×C4×C11—22no—
392C22×C4×C11—22no—
393C22×C4×C11—21no—
394C22×C4×C11—21no—
395C22×C4×C11—21no—
396C22×C4×C11C2×D411yescharacteristic
397C22×C4×C11C2×D411yescharacteristic
398C22×C4×C11C2×D411yescharacteristic
399C22×C4×C11C2411yescharacteristic
400C22×C4×C11C2411yescharacteristic
401C22×C4×C11C2411yescharacteristic
402C2×C22⋊D11—21no—
403C2×C22⋊D11—21no—
404C2×C22⋊D11—21no—
405C2×C22⋊D11—21no—
406C2×C22⋊D11—21no—
407C2×C22⋊D11—21no—
408C2×C22⋊D11—21no—
409C22×Dic11—24no—
410C22×Dic11—21no—
411C22×Dic11—21no—
412C22×Dic11—21no—
413C22×Dic11C2×D411yescharacteristic
414C22×Dic11C2×D411yescharacteristic
415C22×Dic11C2×D411yescharacteristic
416C22×Dic11C2×D411yescharacteristic
417C22×Dic11C2×D411yescharacteristic
418C22×Dic11C2×D411yescharacteristic
419#4343—22no—
420#4343—22no—
421Q8×D11—24no—
422Q8×D11—24no—
423Q8×D11—22no—
424Q8×D11—24no—
425Q8×D11—24no—
426Q8×D11—22no—
427Q8×D11—44no—
428Q8×D11—44no—
429#4341—22no—
430#4341—22no—
431#4341—44no—
432D4×D11—22no—
433D4×D11—22no—
434D4×D11—44no—
435D4×D11—44no—
436D4×D11—44no—
437#4339—22no—
438#4339—22no—
439#4339—44no—
440C2×D44—21no—
441C2×D44—21no—
442C2×D44—21no—
443C2×D44C2411yescharacteristic
444C2×C4×D11—24no—
445C2×C4×D11—24no—
446C2×C4×D11—24no—
447C2×C4×D11—24no—
448C2×C4×D11—24no—
449C2×C4×D11—22no—
450C2×C4×D11—22no—
451C2×C4×D11—22no—
452C2×C4×D11—22no—
453C2×C4×D11—22no—
454C2×C4×D11—22no—
455C2×C4×D11—22no—
456C2×C4×D11—22no—
457C2×C4×D11—21no—
458C2×C4×D11—24no—
459C2×C4×D11—21no—
460C2×C4×D11—21no—
461C2×C4×D11—22no—
462C2×C4×D11—22no—
463C2×C4×D11—21no—
464C2×C4×D11—22no—
465C2×C4×D11—22no—
466C2×C4×D11—22no—
467C2×C4×D11—21no—
468C2×C4×D11—22no—
469C2×C4×D11—44no—
470C2×C4×D11—44no—
471C2×C4×D11—44no—
472C2×C4×D11C2×D414yes—
473C2×C4×D11C2×D411yescharacteristic
474C2×C4×D11C2×D411yescharacteristic
475C2×C4×D11C2×D411yescharacteristic
476C2×C4×D11C2×D411yescharacteristic
477C2×C4×D11C2×D411yescharacteristic
478C2×C4×D11C2×D411yescharacteristic
479C2×C4×D11C2×D411yescharacteristic
480C2×C4×D11C2×D411yescharacteristic
481C2×C4×D11C2×D411yescharacteristic
482C2×C4×D11C2×D411yescharacteristic
483C2×C4×D11C2×D411yescharacteristic
484C2×C4×D11C2×D411yescharacteristic
485C2×C4×D11#4114yes—
486C2×C4×D11C2411yescharacteristic
487C2×C4×D11C2411yescharacteristic
488C2×C4×D11C2411yescharacteristic
489C2×C4×D11C2411yescharacteristic
490C2×Dic22—22no—
491C2×Dic22—22no—
492C2×Dic22—21no—
493C2×Dic22—22no—
494C2×Dic22—21no—
495C2×Dic22—22no—
496C2×Dic22—44no—
497C2×Dic22C2412yes—
498C2×Dic22C2411yescharacteristic
499C11×Q16—24no—
500C11×SD16—24no—
501C11×M16—24no—
502C11×M16—22no—
503C11×M16C2×D414yescomplemented
504C2×C8×C11—24no—
505C2×C8×C11C2412yes—
506C2×C8×C11C2412yes—
507C11×C4⋊C4—22no—
508C11×C4⋊C4—22no—
509C11×C4⋊C4—21no—
510C11×C4⋊C4—21no—
511C11×C4⋊C4—21no—
512C11×C4⋊C4C2411yescharacteristic
513C11×C4⋊C4C2412yes—
514C11×C4⋊C4C2411yescharacteristic
515C11×C22⋊C4—21no—
516C11×C22⋊C4—22no—
517C11×C22⋊C4—22no—
518C11×C22⋊C4—21no—
519C11×C22⋊C4—21no—
520C11×C22⋊C4—21no—
521C11×C22⋊C4—21no—
522C42×C11—21no—
523C22⋊Dic11—21no—
524C22⋊Dic11—21no—
525C22⋊Dic11—21no—
526C22⋊Dic11—22no—
527C22⋊Dic11—22no—
528C22⋊Dic11—21no—
529C22⋊Dic11—21no—
530#4326—24no—
531#4326—24no—
532#4325—24no—
533#4324—24no—
534(C2×D11)⋊C4—21no—
535(C2×D11)⋊C4—21no—
536(C2×D11)⋊C4—21no—
537(C2×D11)⋊C4—21no—
538(C2×D11)⋊C4—21no—
539(C2×D11)⋊C4—21no—
540(C2×D11)⋊C4—22no—
541(C2×D11)⋊C4—22no—
542(C2×D11)⋊C4—22no—
543(C2×D11)⋊C4—22no—
544(C2×D11)⋊C4—21no—
545(C2×D11)⋊C4—21no—
546(C2×D11)⋊C4—21no—
547(C2×D11)⋊C4—21no—
548C4⋊Dic11—21no—
549C4⋊Dic11—21no—
550C4⋊Dic11—22no—
551C4⋊Dic11—22no—
552C4⋊Dic11—21no—
553C4⋊Dic11C2411yescharacteristic
554C4⋊Dic11C2412yes—
555C4⋊Dic11C2411yescharacteristic
556Dic11⋊C4—21no—
557Dic11⋊C4—21no—
558Dic11⋊C4—22no—
559Dic11⋊C4—22no—
560Dic11⋊C4—22no—
561Dic11⋊C4—22no—
562Dic11⋊C4—21no—
563Dic11⋊C4—21no—
564Dic11⋊C4—21no—
565Dic11⋊C4—21no—
566Dic11⋊C4—22no—
567Dic11⋊C4—22no—
568C4×Dic11—21no—
569C4×Dic11—21no—
570C4×Dic11—21no—
571#4318—24no—
572#4318—22no—
573#4318C2×D414yescomplemented
574C2×C11⋊C8—24no—
575C2×C11⋊C8C2412yes—
576C2×C11⋊C8C2412yes—
577Dic44—24no—
578#4314—24no—
579#4313—24no—
580#4313—24no—
581#4313—24no—
582#4313C2×D418yescomplemented
583C8×D11—24no—
584C8×D11—24no—
585C8×D11—24no—
586C8×D11C2×D418yes—
587C22×#137—111no—
588C23×M16—111no—
589C2×#525—111no—
590C22×C22⋊Q8—111no—
591#3056—112no—
592#3056—112no—
593#3056—112no—
594#3056—112no—
595#3056—111no—
596#3056—111no—
597#3056—111no—
598#3056—111no—
599#3056—111no—
600#3056—111no—
601#3056—111no—
602#3056D1111yescharacteristic, direct product factor
603C2×#470—112no—
604C2×#468—112no—
605C2×#467—112no—
606C2×#465—112no—
607C2×#428—111no—
608C2×#417—111no—
609C2×#419—111no—
610C23×C11—22no—
611C23×C11—22no—
612C23×C11—21no—
613C23×C11—41no—
614C23×C11C22×D411yescharacteristic
615C23×C11C22×D411yescharacteristic
616C23×C11C22×D411yescharacteristic
617C22×D11—22no—
618C22×D11—22no—
619C22×D11—22no—
620C22×D11—22no—
621C22×D11—22no—
622C22×D11—22no—
623C22×D11—22no—
624C22×D11—22no—
625C22×D11—22no—
626C22×D11—22no—
627C22×D11—22no—
628C22×D11—22no—
629C22×D11—22no—
630C22×D11—21no—
631C22×D11—41no—
632C22×D11—41no—
633C22×D11—41no—
634C22×D11—416no—
635C22×D11—42no—
636C22×D11—42no—
637C22×D11—42no—
638C22×D11#12114yes—
639C22×D11#13714yescomplemented
640C22×D11C22×D411yescharacteristic
641C22×D11C22×D411yescharacteristic
642C22×D11C22×D411yescharacteristic
643C22×D11C22×D411yescharacteristic
644Q8×C11—22no—
645Q8×C11—21no—
646Q8×C11—22no—
647Q8×C11—21no—
648Q8×C11—42no—
649D4×C11—21no—
650D4×C11—21no—
651D4×C11—42no—
652D4×C11—42no—
653D4×C11—42no—
654C2×C4×C11—22no—
655C2×C4×C11—22no—
656C2×C4×C11—22no—
657C2×C4×C11—21no—
658C2×C4×C11—21no—
659C2×C4×C11—21no—
660C2×C4×C11—21no—
661C2×C4×C11—21no—
662C2×C4×C11—21no—
663C2×C4×C11—22no—
664C2×C4×C11—22no—
665C2×C4×C11—21no—
666C2×C4×C11—42no—
667C2×C4×C11—42no—
668C2×C4×C11—42no—
669C2×C4×C11C22×D411yescharacteristic
670C2×C4×C11C22×D411yescharacteristic
671C2×C4×C11C22×D411yescharacteristic
672C2×C4×C11C22×D412yes—
673C2×C4×C11C2×#4112yes—
674C2×C4×C11C2511yescharacteristic
675C22⋊D11—42no—
676C22⋊D11—42no—
677C22⋊D11—42no—
678C22⋊D11—42no—
679C22⋊D11—42no—
680C22⋊D11—42no—
681C22⋊D11—42no—
682C2×Dic11—22no—
683C2×Dic11—22no—
684C2×Dic11—22no—
685C2×Dic11—22no—
686C2×Dic11—22no—
687C2×Dic11—21no—
688C2×Dic11—21no—
689C2×Dic11—22no—
690C2×Dic11—22no—
691C2×Dic11—21no—
692C2×Dic11—42no—
693C2×Dic11—42no—
694C2×Dic11—42no—
695C2×Dic11#12114yes—
696C2×Dic11C22×D411yescharacteristic
697C2×Dic11C22×D411yescharacteristic
698C2×Dic11C22×D411yescharacteristic
699C2×Dic11C22×D411yescharacteristic
700D44—21no—
701D44—21no—
702D44—42no—
703D44—42no—
704D44—42no—
705C4×D11—22no—
706C4×D11—22no—
707C4×D11—22no—
708C4×D11—22no—
709C4×D11—22no—
710C4×D11—22no—
711C4×D11—21no—
712C4×D11—21no—
713C4×D11—21no—
714C4×D11—21no—
715C4×D11—22no—
716C4×D11—22no—
717C4×D11—22no—
718C4×D11—22no—
719C4×D11—44no—
720C4×D11—42no—
721C4×D11—44no—
722C4×D11—44no—
723C4×D11—42no—
724C4×D11—44no—
725C4×D11—42no—
726C4×D11—42no—
727C4×D11—42no—
728C4×D11#12114yes—
729C4×D11#12114yes—
730C4×D11C22×D412yes—
731C4×D11C22×D412yes—
732C4×D11C2×#4112yes—
733C4×D11C2×#4112yes—
734Dic22—22no—
735Dic22—21no—
736Dic22—22no—
737Dic22—21no—
738Dic22—42no—
739Dic22—44no—
740Dic22—44no—
741Dic22—42no—
742C8×C11—22no—
743C8×C11C22×D414yes—
744C11⋊C8—22no—
745C11⋊C8C22×D414yes—
746C22×#41—111no—
747C23×Q8—111no—
748C24×C4—111no—
749C2×#137—111no—
750C2×#137—111no—
751C2×#137—112no—
752C2×#137—112no—
753C2×#137—111no—
754C2×#137—228no—
755C2×#137C2×D1111yescharacteristic, complemented
756C22×Q16—112no—
757C22×SD16—112no—
758C22×M16—111no—
759C22×M16—111no—
760C22×M16—111no—
761C22×M16—112no—
762C22×M16—111no—
763C22×M16—111no—
764C22×M16—112no—
765C22×M16—112no—
766C22×M16—228no—
767C22×M16C2×D1111yescharacteristic, complemented
768C23×C8—112no—
769#525—111no—
770#525—111no—
771#525—111no—
772#525—111no—
773#525—111no—
774#525—111no—
775#525—111no—
776#525—221no—
777#525—221no—
778#525—221no—
779#525—221no—
780#525C2×D1111yescharacteristic
781C2×#123—221no—
782C2×C22⋊Q8—111no—
783C2×C22⋊Q8—111no—
784C2×C22⋊Q8—112no—
785C2×C22⋊Q8—112no—
786C2×C22⋊Q8—112no—
787C2×C22⋊Q8—112no—
788C2×C22⋊Q8—111no—
789C2×C22⋊Q8—111no—
790C2×C22⋊Q8—111no—
791C2×C22⋊Q8—221no—
792C2×C22⋊Q8—221no—
793C2×C22⋊Q8—221no—
794C2×C22⋊Q8—221no—
795C2×C22⋊Q8—221no—
796C2×C22⋊Q8—221no—
797C2×C22⋊Q8C2×D1111yescharacteristic, complemented
798C2×#121—111no—
799C2×#121—111no—
800C2×#120—221no—
801C2×C4×D4—221no—
802C2×C4×D4—221no—
803C2×#117—111no—
804C22×C4⋊C4—111no—
805C22×C4⋊C4—221no—
806C22×C22⋊C4—221no—
807#470—112no—
808#470—112no—
809#470—112no—
810#470—112no—
811#470—112no—
812#470—112no—
813#470—112no—
814#470C2×D1112yescomplemented
815#468—112no—
816#468—112no—
817#468—112no—
818#468—112no—
819#468—112no—
820#468—112no—
821#468—112no—
822#468C2×D1112yescomplemented
823#467—112no—
824#467—112no—
825#467—112no—
826#467—112no—
827#467—112no—
828#467—112no—
829#467—112no—
830#467C2×D1112yescomplemented
831#465—112no—
832#465—112no—
833#465—112no—
834#465—112no—
835#465—112no—
836#465—112no—
837#465—112no—
838#465C2×D1112yescomplemented
839#428—111no—
840#428—111no—
841#428—111no—
842#428—112no—
843#428—112no—
844#428C2×D1111yescharacteristic, complemented
845C2×#107—112no—
846C2×#106—112no—
847#419—111no—
848#419—111no—
849#419—111no—
850#419—112no—
851#419—112no—
852#419C2×D1111yescharacteristic, complemented
853#417—111no—
854#417—111no—
855#417—111no—
856#417—112no—
857#417—112no—
858#417C2×D1111yescharacteristic, complemented
859C2×#103—112no—
860C2×#103—112no—
861C2×#103—112no—
862C2×#102—112no—
863C22×C11—21no—
864C22×C11—21no—
865C22×C11—21no—
866C22×C11—21no—
867C22×C11—21no—
868C22×C11—21no—
869C22×C11—21no—
870C22×C11—44no—
871C22×C11—41no—
872C22×C11—41no—
873C22×C11—41no—
874C22×C11C2×#12112yes—
875C22×C11C2×#13712yescomplemented
876C22×C11C23×D411yescharacteristic
877C2×D11—21no—
878C2×D11—21no—
879C2×D11—21no—
880C2×D11—21no—
881C2×D11—28no—
882C2×D11—28no—
883C2×D11—21no—
884C2×D11—21no—
885C2×D11—21no—
886C2×D11—44no—
887C2×D11—44no—
888C2×D11—44no—
889C2×D11—44no—
890C2×D11—41no—
891C2×D11—41no—
892C2×D11—41no—
893C2×D11—84no—
894C2×D11C2×#12112yes—
895C2×D11C2×#12112yes—
896C2×D11C2×#13712yes—
897C2×D11C2×#13712yescomplemented
898C2×D11#57512yes—
899C4×C11—21no—
900C4×C11—21no—
901C4×C11—41no—
902C4×C11—42no—
903C4×C11—41no—
904C4×C11—42no—
905C4×C11—41no—
906C4×C11C2×#12112yes—
907C4×C11C23×D411yescharacteristic
908C4×C11C22×#4111yescharacteristic
909Dic11—21no—
910Dic11—21no—
911Dic11—42no—
912Dic11—41no—
913Dic11—41no—
914Dic11—42no—
915Dic11—41no—
916Dic11C2×#12112yes—
917Dic11C2×#12112yes—
918C25—111no—
919C2×#41—111no—
920C2×#41—111no—
921C2×#41—111no—
922C2×#41—221no—
923C2×#41—221no—
924C2×#41—224no—
925C2×#41—224no—
926C2×#41C22×D1111yescharacteristic
927C22×Q8—112no—
928C22×Q8—111no—
929C22×Q8—112no—
930C22×Q8—111no—
931C22×Q8—221no—
932C22×Q8—221no—
933C22×Q8—221no—
934C22×Q8—224no—
935C22×Q8—224no—
936C22×Q8C22×D1111yescharacteristic
937C22×D4—111no—
938C22×D4—221no—
939C22×D4—221no—
940C22×D4—221no—
941C23×C4—111no—
942C23×C4—111no—
943C23×C4—111no—
944C23×C4—111no—
945C23×C4—111no—
946C23×C4—111no—
947C23×C4—111no—
948C23×C4—111no—
949C23×C4—111no—
950C23×C4—111no—
951C23×C4—111no—
952C23×C4—111no—
953C23×C4—111no—
954C23×C4—224no—
955C23×C4—224no—
956C23×C4—221no—
957C23×C4—221no—
958C23×C4—221no—
959C23×C4C22×D1111yescharacteristic
960#137—24no—
961#137—228no—
962#137—228no—
963#137—224no—
964#137—224no—
965#137—224no—
966C2×Q16—112no—
967C2×Q16—112no—
968C2×Q16—112no—
969C2×Q16—228no—
970C2×Q16C22×D1112yescomplemented
971C2×SD16—112no—
972C2×SD16—112no—
973C2×SD16—112no—
974C2×SD16—228no—
975C2×SD16C22×D1112yescomplemented
976C2×M16—24no—
977C2×M16—111no—
978C2×M16—118no—
979C2×M16—111no—
980C2×M16—112no—
981C2×M16—112no—
982C2×M16—112no—
983C2×M16—112no—
984C2×M16—112no—
985C2×M16—228no—
986C2×M16—228no—
987C2×M16—224no—
988C2×M16—228no—
989C2×M16—224no—
990C2×M16—224no—
991C2×M16—224no—
992C2×M16C22×D1111yescharacteristic
993C2×M16C22×D1112yes—
994C2×M16C22×D1111yescharacteristic
995C22×C8—112no—
996C22×C8—112no—
997C22×C8—112no—
998C22×C8—112no—
999C22×C8—112no—
1000C22×C8—228no—
1001C22×C8C22×D1112yes—
1002#123—21no—
1003#123—221no—
1004#123—221no—
1005#123—221no—
1006#123—221no—
1007#123—221no—
1008#123—221no—
1009#123—221no—
1010C22⋊Q8—21no—
1011C22⋊Q8—21no—
1012C22⋊Q8—112no—
1013C22⋊Q8—112no—
1014C22⋊Q8—111no—
1015C22⋊Q8—111no—
1016C22⋊Q8—112no—
1017C22⋊Q8—112no—
1018C22⋊Q8—111no—
1019C22⋊Q8—111no—
1020C22⋊Q8—112no—
1021C22⋊Q8—112no—
1022C22⋊Q8—111no—
1023C22⋊Q8—111no—
1024C22⋊Q8—222no—
1025C22⋊Q8—222no—
1026C22⋊Q8—222no—
1027C22⋊Q8—222no—
1028C22⋊Q8—221no—
1029C22⋊Q8—221no—
1030C22⋊Q8—222no—
1031C22⋊Q8—222no—
1032C22⋊Q8—222no—
1033C22⋊Q8—222no—
1034C22⋊Q8—221no—
1035C22⋊Q8—221no—
1036C22⋊Q8—221no—
1037C22⋊Q8—221no—
1038C22⋊Q8—221no—
1039C22⋊Q8—221no—
1040C22⋊Q8—221no—
1041C22⋊Q8—221no—
1042C22⋊Q8C22×D1112yes—
1043C22⋊Q8C22×D1112yes—
1044C22⋊Q8C22×D1111yescharacteristic
1045C22⋊Q8C22×D1111yescharacteristic
1046#121—111no—
1047#121—111no—
1048#121—111no—
1049#121—111no—
1050#121—111no—
1051#121—111no—
1052#121—221no—
1053#121—221no—
1054#121—221no—
1055#121—221no—
1056#121C22×D1111yescharacteristic
1057#121C22×D1111yescharacteristic
1058#120—21no—
1059#120—221no—
1060#120—221no—
1061#120—221no—
1062#120—221no—
1063#120—221no—
1064#120—221no—
1065#120—221no—
1066C4×D4—21no—
1067C4×D4—21no—
1068C4×D4—221no—
1069C4×D4—221no—
1070C4×D4—221no—
1071C4×D4—221no—
1072C4×D4—221no—
1073C4×D4—221no—
1074C4×D4—221no—
1075C4×D4—221no—
1076C4×D4—221no—
1077C4×D4—221no—
1078C4×D4—221no—
1079C4×D4—221no—
1080C4×D4—221no—
1081C4×D4—221no—
1082#117—111no—
1083#117—111no—
1084#117—111no—
1085#117—221no—
1086#117—221no—
1087#117C22×D1111yescharacteristic
1088C2×C4⋊C4—21no—
1089C2×C4⋊C4—111no—
1090C2×C4⋊C4—112no—
1091C2×C4⋊C4—112no—
1092C2×C4⋊C4—111no—
1093C2×C4⋊C4—111no—
1094C2×C4⋊C4—221no—
1095C2×C4⋊C4—221no—
1096C2×C4⋊C4—222no—
1097C2×C4⋊C4—222no—
1098C2×C4⋊C4—222no—
1099C2×C4⋊C4—222no—
1100C2×C4⋊C4—221no—
1101C2×C4⋊C4—221no—
1102C2×C4⋊C4—221no—
1103C2×C4⋊C4—221no—
1104C2×C4⋊C4—221no—
1105C2×C4⋊C4—221no—
1106C2×C4⋊C4C22×D1111yescharacteristic
1107C2×C22⋊C4—21no—
1108C2×C22⋊C4—221no—
1109C2×C22⋊C4—221no—
1110C2×C22⋊C4—222no—
1111C2×C22⋊C4—222no—
1112C2×C22⋊C4—222no—
1113C2×C22⋊C4—222no—
1114C2×C22⋊C4—221no—
1115C2×C22⋊C4—221no—
1116C2×C22⋊C4—221no—
1117C2×C22⋊C4—221no—
1118C2×C22⋊C4—221no—
1119C2×C22⋊C4—221no—
1120C2×C42—221no—
1121#107—112no—
1122#107—112no—
1123#107—112no—
1124#107C22×D1112yescomplemented
1125#106—112no—
1126#106—112no—
1127#106—112no—
1128#106C22×D1112yescomplemented
1129#103—112no—
1130#103—112no—
1131#103—112no—
1132#103—112no—
1133#103—112no—
1134#103—112no—
1135#103—112no—
1136#103—112no—
1137#103—112no—
1138#103C22×D1112yescomplemented
1139#103C22×D1112yescomplemented
1140#103C22×D1112yescomplemented
1141#102—112no—
1142#102—112no—
1143#102—112no—
1144#102C22×D1112yescomplemented
1145C2×C11—22no—
1146C2×C11—22no—
1147C2×C11—41no—
1148C2×C11—81no—
1149C2×C11C22×#12111yescharacteristic
1150C2×C11C22×#13711yescharacteristic
1151C2×C11C2×#57511yescharacteristic
1152D11—22no—
1153D11—22no—
1154D11—41no—
1155D11—81no—
1156D11#305614yesdirect product factor
1157C24—111no—
1158C24—111no—
1159C24—111no—
1160C24—111no—
1161C24—111no—
1162C24—111no—
1163C24—224no—
1164C24—224no—
1165C24—221no—
1166C24—442no—
1167C24D4×D1111yescharacteristic
1168#41—22no—
1169#41—22no—
1170#41—222no—
1171#41—222no—
1172#41—222no—
1173#41—222no—
1174#41—222no—
1175#41—222no—
1176#41—444no—
1177#41—444no—
1178C2×Q8—21no—
1179C2×Q8—22no—
1180C2×Q8—22no—
1181C2×Q8—112no—
1182C2×Q8—111no—
1183C2×Q8—222no—
1184C2×Q8—222no—
1185C2×Q8—221no—
1186C2×Q8—224no—
1187C2×Q8—222no—
1188C2×Q8—224no—
1189C2×Q8—224no—
1190C2×Q8—224no—
1191C2×Q8—222no—
1192C2×Q8—221no—
1193C2×Q8—222no—
1194C2×Q8—222no—
1195C2×Q8—444no—
1196C2×Q8—444no—
1197C2×Q8—444no—
1198C2×Q8C23×D1112yes—
1199C2×Q8C23×D1111yescharacteristic
1200C2×D4—21no—
1201C2×D4—21no—
1202C2×D4—21no—
1203C2×D4—111no—
1204C2×D4—221no—
1205C2×D4—221no—
1206C2×D4—221no—
1207C2×D4—222no—
1208C2×D4—222no—
1209C2×D4—221no—
1210C2×D4—221no—
1211C2×D4—221no—
1212C2×D4—221no—
1213C2×D4—221no—
1214C2×D4—221no—
1215C2×D4—221no—
1216C2×D4—444no—
1217C2×D4—444no—
1218C2×D4—444no—
1219C2×D4C23×D1111yescharacteristic
1220C22×C4—22no—
1221C22×C4—22no—
1222C22×C4—21no—
1223C22×C4—21no—
1224C22×C4—21no—
1225C22×C4—111no—
1226C22×C4—111no—
1227C22×C4—111no—
1228C22×C4—114no—
1229C22×C4—114no—
1230C22×C4—111no—
1231C22×C4—111no—
1232C22×C4—111no—
1233C22×C4—111no—
1234C22×C4—111no—
1235C22×C4—111no—
1236C22×C4—111no—
1237C22×C4—111no—
1238C22×C4—111no—
1239C22×C4—111no—
1240C22×C4—111no—
1241C22×C4—111no—
1242C22×C4—111no—
1243C22×C4—111no—
1244C22×C4—111no—
1245C22×C4—111no—
1246C22×C4—111no—
1247C22×C4—111no—
1248C22×C4—111no—
1249C22×C4—222no—
1250C22×C4—222no—
1251C22×C4—222no—
1252C22×C4—222no—
1253C22×C4—224no—
1254C22×C4—224no—
1255C22×C4—224no—
1256C22×C4—224no—
1257C22×C4—224no—
1258C22×C4—222no—
1259C22×C4—222no—
1260C22×C4—222no—
1261C22×C4—222no—
1262C22×C4—221no—
1263C22×C4—224no—
1264C22×C4—221no—
1265C22×C4—221no—
1266C22×C4—222no—
1267C22×C4—222no—
1268C22×C4—221no—
1269C22×C4—222no—
1270C22×C4—222no—
1271C22×C4—224no—
1272C22×C4—221no—
1273C22×C4—222no—
1274C22×C4—222no—
1275C22×C4—221no—
1276C22×C4—221no—
1277C22×C4—221no—
1278C22×C4—444no—
1279C22×C4—444no—
1280C22×C4—444no—
1281C22×C4D4×D1111yescharacteristic
1282C22×C4D4×D1111yescharacteristic
1283C22×C4D4×D1111yescharacteristic
1284C22×C4C23×D1111yescharacteristic
1285C22×C4C23×D1111yescharacteristic
1286C22×C4C23×D1111yescharacteristic
1287Q16—24no—
1288Q16—224no—
1289Q16—224no—
1290Q16—224no—
1291SD16—24no—
1292SD16—224no—
1293SD16—224no—
1294SD16—224no—
1295M16—22no—
1296M16—24no—
1297M16—114no—
1298M16—118no—
1299M16—224no—
1300M16—224no—
1301M16—224no—
1302M16—222no—
1303M16—224no—
1304M16D4×D1114yescomplemented
1305C2×C8—24no—
1306C2×C8—112no—
1307C2×C8—118no—
1308C2×C8—112no—
1309C2×C8—224no—
1310C2×C8—224no—
1311C2×C8—224no—
1312C2×C8—224no—
1313C2×C8C23×D1112yes—
1314C2×C8C23×D1112yes—
1315C4⋊C4—22no—
1316C4⋊C4—22no—
1317C4⋊C4—21no—
1318C4⋊C4—21no—
1319C4⋊C4—21no—
1320C4⋊C4—112no—
1321C4⋊C4—111no—
1322C4⋊C4—111no—
1323C4⋊C4—222no—
1324C4⋊C4—222no—
1325C4⋊C4—221no—
1326C4⋊C4—221no—
1327C4⋊C4—222no—
1328C4⋊C4—222no—
1329C4⋊C4—222no—
1330C4⋊C4—222no—
1331C4⋊C4—221no—
1332C4⋊C4—221no—
1333C4⋊C4—221no—
1334C4⋊C4—221no—
1335C4⋊C4—221no—
1336C4⋊C4—222no—
1337C4⋊C4—222no—
1338C4⋊C4—221no—
1339C4⋊C4—221no—
1340C4⋊C4C23×D1112yes—
1341C4⋊C4C23×D1111yescharacteristic
1342C4⋊C4C23×D1111yescharacteristic
1343C22⋊C4—22no—
1344C22⋊C4—22no—
1345C22⋊C4—21no—
1346C22⋊C4—21no—
1347C22⋊C4—21no—
1348C22⋊C4—21no—
1349C22⋊C4—21no—
1350C22⋊C4—221no—
1351C22⋊C4—221no—
1352C22⋊C4—222no—
1353C22⋊C4—222no—
1354C22⋊C4—222no—
1355C22⋊C4—222no—
1356C22⋊C4—221no—
1357C22⋊C4—221no—
1358C22⋊C4—221no—
1359C22⋊C4—221no—
1360C22⋊C4—221no—
1361C22⋊C4—221no—
1362C22⋊C4—221no—
1363C22⋊C4—221no—
1364C22⋊C4—222no—
1365C22⋊C4—222no—
1366C22⋊C4—221no—
1367C22⋊C4—221no—
1368C22⋊C4—221no—
1369C22⋊C4—221no—
1370C22⋊C4—221no—
1371C42—21no—
1372C42—221no—
1373C42—221no—
1374C42—221no—
1375C11C2×#305611yescharacteristic, complemented, Sylow
1376C23—22no—
1377C23—22no—
1378C23—21no—
1379C23—41no—
1380C23—111no—
1381C23—114no—
1382C23—114no—
1383C23—111no—
1384C23—111no—
1385C23—111no—
1386C23—222no—
1387C23—222no—
1388C23—222no—
1389C23—222no—
1390C23—222no—
1391C23—222no—
1392C23—222no—
1393C23—222no—
1394C23—222no—
1395C23—222no—
1396C23—222no—
1397C23—222no—
1398C23—222no—
1399C23—221no—
1400C23—441no—
1401C23—441no—
1402C23—441no—
1403C23—442no—
1404C23—442no—
1405C23—442no—
1406C23—4416no—
1407C23C2×D4×D1111yescharacteristic
1408C23C2×D4×D1111yescharacteristic
1409C23C2×D4×D1111yescharacteristic
1410Q8—22no—
1411Q8—21no—
1412Q8—22no—
1413Q8—21no—
1414Q8—42no—
1415Q8—222no—
1416Q8—221no—
1417Q8—222no—
1418Q8—221no—
1419Q8—444no—
1420Q8—444no—
1421Q8—442no—
1422Q8—442no—
1423D4—21no—
1424D4—21no—
1425D4—42no—
1426D4—42no—
1427D4—42no—
1428D4—221no—
1429D4—221no—
1430D4—442no—
1431D4—442no—
1432D4—442no—
1433D4—442no—
1434D4—442no—
1435D4—442no—
1436D4—442no—
1437D4—442no—
1438D4—442no—
1439D4—442no—
1440C2×C4—22no—
1441C2×C4—22no—
1442C2×C4—22no—
1443C2×C4—21no—
1444C2×C4—21no—
1445C2×C4—21no—
1446C2×C4—21no—
1447C2×C4—21no—
1448C2×C4—21no—
1449C2×C4—22no—
1450C2×C4—21no—
1451C2×C4—22no—
1452C2×C4—42no—
1453C2×C4—42no—
1454C2×C4—42no—
1455C2×C4—114no—
1456C2×C4—111no—
1457C2×C4—111no—
1458C2×C4—114no—
1459C2×C4—114no—
1460C2×C4—112no—
1461C2×C4—112no—
1462C2×C4—112no—
1463C2×C4—112no—
1464C2×C4—111no—
1465C2×C4—111no—
1466C2×C4—222no—
1467C2×C4—222no—
1468C2×C4—222no—
1469C2×C4—222no—
1470C2×C4—222no—
1471C2×C4—222no—
1472C2×C4—222no—
1473C2×C4—222no—
1474C2×C4—222no—
1475C2×C4—222no—
1476C2×C4—222no—
1477C2×C4—222no—
1478C2×C4—222no—
1479C2×C4—222no—
1480C2×C4—222no—
1481C2×C4—221no—
1482C2×C4—221no—
1483C2×C4—221no—
1484C2×C4—221no—
1485C2×C4—221no—
1486C2×C4—221no—
1487C2×C4—222no—
1488C2×C4—221no—
1489C2×C4—222no—
1490C2×C4—442no—
1491C2×C4—442no—
1492C2×C4—444no—
1493C2×C4—444no—
1494C2×C4—444no—
1495C2×C4—442no—
1496C2×C4—442no—
1497C2×C4—444no—
1498C2×C4—442no—
1499C2×C4—442no—
1500C2×C4—442no—
1501C2×C4—442no—
1502C2×C4C2×D4×D1111yescharacteristic
1503C2×C4C2×D4×D1111yescharacteristic
1504C2×C4C2×D4×D1111yescharacteristic
1505C2×C4C2×D4×D1112yes—
1506C2×C4#41×D1112yes—
1507C2×C4C24×D1111yescharacteristic
1508C8—22no—
1509C8—114no—
1510C8—222no—
1511C8C2×D4×D1114yes—
1512C22—21no—
1513C22—21no—
1514C22—21no—
1515C22—21no—
1516C22—21no—
1517C22—21no—
1518C22—21no—
1519C22—44no—
1520C22—41no—
1521C22—41no—
1522C22—41no—
1523C22—112no—
1524C22—112no—
1525C22—112no—
1526C22—112no—
1527C22—112no—
1528C22—228no—
1529C22—228no—
1530C22—221no—
1531C22—221no—
1532C22—221no—
1533C22—221no—
1534C22—221no—
1535C22—221no—
1536C22—221no—
1537C22—444no—
1538C22—444no—
1539C22—444no—
1540C22—444no—
1541C22—441no—
1542C22—441no—
1543C22—441no—
1544C22—884no—
1545C22D11×#12112yes—
1546C22D11×#13712yescomplemented
1547C22C22×D4×D1111yescharacteristic
1548C4—21no—
1549C4—21no—
1550C4—41no—
1551C4—42no—
1552C4—41no—
1553C4—41no—
1554C4—42no—
1555C4—112no—
1556C4—112no—
1557C4—221no—
1558C4—221no—
1559C4—441no—
1560C4—442no—
1561C4—441no—
1562C4—441no—
1563C4—442no—
1564C4D11×#12112yes—
1565C4C22×D4×D1111yescharacteristic
1566C4C2×#41×D1111yescharacteristic
1567C2—22no—
1568C2—22no—
1569C2—41no—
1570C2—81no—
1571C2—114no—
1572C2—222no—
1573C2—222no—
1574C2—441no—
1575C2—881no—
1576C2C2×D11×#12111yescharacteristic
1577C2C2×D11×#13711yescharacteristic
1578C2D11×#57511yescharacteristic
subgroupG/H
centerC22C22×D4×D11
commutator, cosocleC2×C4×C11C25
FrattiniC2×C4C24×D11
FittingC11×#3056C2
socleC22×C11C23×D4
prime radicalD11×#525C2
hypercenter#3056D11
hypocenterC11C2×#3056
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C22 ◁ C23×C4 ◁ #3056

Complements

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

NH ≅ G/Ntype
1. C2×D11×#137C2semidirect
2. C22×M16×D11C2semidirect
4. C2×D11×C22⋊Q8C2semidirect
5. #13078249C2semidirect
6. #13078248C2semidirect
7. #13078247C2semidirect
8. #13078246C2semidirect
9. #13078245C2semidirect
10. #13078244C2semidirect
11. #13078243C2semidirect
12. #13078242C2semidirect
13. #13078241C2semidirect
14. #13078240C2semidirect
15. #13078239C2semidirect
16. D11×#470C2semidirect
17. D11×#468C2semidirect
18. D11×#467C2semidirect
19. D11×#465C2semidirect
20. D11×#428C2semidirect
21. D11×#417C2semidirect
22. D11×#419C2semidirect
23. C11×#3056C2semidirect
27. C2×C11×#137C22semidirect
28. C22×C11×M16C22semidirect
30. C2×C11×C22⋊Q8C22semidirect
32. C2×#67004C22semidirect
33. C2×#66999C22semidirect
34. C2×#66995C22semidirect
36. C2×#66977C22semidirect
37. C22×#4318C22semidirect
39. C2×#66971C22semidirect
40. C2×Q16×D11C22semidirect
41. C2×#66968C22semidirect
42. C2×SD16×D11C22semidirect
43. C2×#66962C22semidirect
48. C2×M16×D11C22semidirect
49. C2×M16×D11C22semidirect
50. C2×M16×D11C22semidirect
51. C22×#4313C22semidirect
65. D11×C22⋊Q8C22semidirect
66. D11×C22⋊Q8C22semidirect
79. C2×#66950C22semidirect
85. C11×#470C22semidirect
86. C11×#468C22semidirect
87. C11×#467C22semidirect
88. C11×#465C22semidirect
89. C11×#428C22semidirect
90. C11×#419C22semidirect
91. C11×#417C22semidirect
92. #10622845C22semidirect
93. #10622838C22semidirect
94. #10622802C22semidirect
95. #10622801C22semidirect
96. #10622787C22semidirect
97. #10622784C22semidirect
98. #10622750C22semidirect
99. #10622747C22semidirect
100. #10622746C22semidirect
101. #10622734C22semidirect
102. #10622733C22semidirect
103. #10622729C22semidirect
104. #10622727C22semidirect
105. #10622665C22semidirect
106. #10622665C22semidirect
107. #10622664C22semidirect
108. #10622664C22semidirect
109. #10622662C22semidirect
110. #10622661C22semidirect
111. #10622655C22semidirect
112. #10622654C22semidirect
113. #10622617C22semidirect
114. #10622608C22semidirect
115. #10622579C22semidirect
116. #10622577C22semidirect
117. #10622500C22semidirect
118. #10622499C22semidirect
119. #10622494C22semidirect
120. D11×#107C22semidirect
121. #10622481C22semidirect
122. #10622477C22semidirect
123. #10622474C22semidirect
124. D11×#106C22semidirect
125. #10622429C22semidirect
126. #10622429C22semidirect
127. #10622426C22semidirect
128. #10622426C22semidirect
129. #10622425C22semidirect
130. #10622420C22semidirect
131. #10622416C22semidirect
132. #10622415C22semidirect
133. #10622415C22semidirect
134. D11×#103C22semidirect
135. D11×#103C22semidirect
136. D11×#103C22semidirect
137. #10622393C22semidirect
138. #10622391C22semidirect
139. #10622384C22semidirect
140. D11×#102C22semidirect
184. C2×C11×Q16C23semidirect
185. C2×C11×SD16C23semidirect
216. C2×#4326C23semidirect
217. C2×#4326C23semidirect
219. C2×#4325C23semidirect
230. C2×#4324C23semidirect
267. M16×D11D4semidirect
268. C2×Dic44C23semidirect
269. C2×#4314C23semidirect
344. C11×#107C23semidirect
345. C11×#106C23semidirect
346. C11×#103C23semidirect
347. C11×#103C23semidirect
348. C11×#103C23semidirect
349. C11×#102C23semidirect
350. #66899C23semidirect
351. #66899C23semidirect
352. #66899C23semidirect
353. #66896C23semidirect
354. #66885C23semidirect
355. #66882C23semidirect
356. #66881C23semidirect
357. #66880C23semidirect
358. #66880C23semidirect
359. #66880C23semidirect
360. #66874C23semidirect
361. #66874C23semidirect
362. #66874C23semidirect
363. #66873C23semidirect
364. #66872C23semidirect
365. #66872C23semidirect
366. #66871C23semidirect
367. #66871C23semidirect
503. C11×M16C2×D4semidirect
573. #4318C2×D4semidirect
582. #4313C2×D4semidirect
602. #3056D11direct (N × H)
639. C22×D11#137semidirect
755. C2×#137C2×D11semidirect
767. C22×M16C2×D11semidirect
797. C2×C22⋊Q8C2×D11semidirect
814. #470C2×D11semidirect
822. #468C2×D11semidirect
830. #467C2×D11semidirect
838. #465C2×D11semidirect
844. #428C2×D11semidirect
852. #419C2×D11semidirect
858. #417C2×D11semidirect
875. C22×C11C2×#137semidirect
897. C2×D11C2×#137semidirect
970. C2×Q16C22×D11semidirect
975. C2×SD16C22×D11semidirect
1124. #107C22×D11semidirect
1128. #106C22×D11semidirect
1138. #103C22×D11semidirect
1139. #103C22×D11semidirect
1140. #103C22×D11semidirect
1144. #102C22×D11semidirect
1156. D11#3056direct (N × H)
1304. M16D4×D11semidirect
1375. C11C2×#3056semidirect
1546. C22D11×#137semidirect

Maximal subgroups

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

subgroupindex
C2×D11×#1372
C22×M16×D112
D11×#5252
C2×D11×C22⋊Q82
#130782492
#130782482
#130782472
#130782462
#130782452
#130782442
#130782432
#130782422
#130782412
#130782402
#130782392
D11×#4702
D11×#4682
D11×#4672
D11×#4652
D11×#4282
D11×#4172
D11×#4192
C11×#30562
C2×#305611