Finite Group Databasebeta

← #15631751

Subgroups — #15631751

Order 2816.

2116 conjugacy classes of subgroups.

The subgroup lattice has 1858 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13082534C211yesmaximal, characteristic, complemented
2#13082372C211yesmaximal, characteristic, complemented
3#13080835C211yesmaximal, characteristic, complemented
4#13080828C211yesmaximal, characteristic, complemented
5#13080821C211yesmaximal, characteristic, complemented
6#13080812C211yesmaximal, characteristic, complemented
7#13080764C211yesmaximal, characteristic, complemented
8#13080714C211yesmaximal, characteristic, complemented
9#13080709C211yesmaximal, characteristic, complemented
10#13080637C211yesmaximal, characteristic, complemented
11#13080636C211yesmaximal, characteristic, complemented
12#13080597C211yesmaximal, characteristic, complemented
13#13080586C211yesmaximal, characteristic, complemented
14#13080470C211yesmaximal, characteristic, complemented
15#13080461C211yesmaximal, characteristic, complemented
16#13080454C211yesmaximal, characteristic, complemented
17#13080447C211yesmaximal, characteristic, complemented
18#13079015C211yesmaximal, characteristic, complemented
19#13078606C211yesmaximal, characteristic, complemented
20#13078591C211yesmaximal, characteristic, complemented
21D11×#478C211yesmaximal, characteristic, complemented
22#13078281C211yesmaximal, characteristic, complemented
23#13078276C211yesmaximal, characteristic, complemented
24#13078064C211yesmaximal, characteristic, complemented
25#13077915C211yesmaximal, characteristic, complemented
26#13077915C211yesmaximal, characteristic, complemented
27#13077427C211yesmaximal, characteristic, complemented
28#13077357C211yesmaximal, characteristic, complemented
29#13077141C211yesmaximal, characteristic, complemented
30#13077137C211yesmaximal, characteristic, complemented
31C11×#3318C211yesmaximal, characteristic, complemented
32C2×#67037C2211yescharacteristic
33C2×#67037C2211yescharacteristic
34C11×#553C2211yescharacteristic, complemented
35D42×C11C2211yescharacteristic
36#10623337C2211yescharacteristic
37#10623337C2211yescharacteristic
38D4×C22⋊D11—21no—
39C2×#66991—21no—
40C2×#66965C2211yescharacteristic, complemented
41C2×#66965C2211yescharacteristic, complemented
42C2×#66964C2211yescharacteristic
43C2×#66960C2211yescharacteristic, complemented
44C2×#66954C2211yescharacteristic, complemented
45#10623248C2211yescharacteristic
46#10623247C2211yescharacteristic
47#10623240—21no—
48#10623232—21no—
49#10623225C2211yescharacteristic, complemented
50D11×#125C2211yescharacteristic, complemented
51#10623192—21no—
52#10623180—21no—
53#10623149C2211yescharacteristic, complemented
54#10623146—21no—
55#10623145—21no—
56#10623145C2211yescharacteristic, complemented
57#10623143C2211yescharacteristic
58#10623143C2211yescharacteristic
59#10623142—21no—
60#10623139C2211yescharacteristic
61#10623139C2211yescharacteristic
62#10623139C2211yescharacteristic, complemented
63#10623139C2211yescharacteristic, complemented
64D11×#121—21no—
65#10623122—21no—
66#10623122—21no—
67#10623120—21no—
68#10623120—21no—
69#10623089—21no—
70#10623089C2211yescharacteristic, complemented
71#10623086C2211yescharacteristic
72#10623082C2211yescharacteristic
73#10623079C2211yescharacteristic
74C4×D4×D11C2211yescharacteristic
75#10623072C2211yescharacteristic, complemented
76#10623069—21no—
77C4×#4341C2211yescharacteristic, complemented
78#10623060C2211yescharacteristic, complemented
79#10623054C2211yescharacteristic, complemented
80#10623044C2211yescharacteristic, complemented
81#10623035C2211yescharacteristic, complemented
82C11×#490C2211yescharacteristic, complemented
83C11×#482C2211yescharacteristic, complemented
84C11×#481C2211yescharacteristic, complemented
85C11×#478C2211yescharacteristic, complemented
86C11×#469C2211yescharacteristic, complemented
87C11×#466C2211yescharacteristic, complemented
88C11×#459C2211yescharacteristic, complemented
89C11×#447C2211yescharacteristic, complemented
90C11×#447C2211yescharacteristic, complemented
91C11×#442C2211yescharacteristic, complemented
92C11×#435C2211yescharacteristic, complemented
93C11×#418C2211yescharacteristic, complemented
94C2×C11×#102C2211yescharacteristic, complemented
95#10622831C2211yescharacteristic, complemented
96#10622831C2211yescharacteristic, complemented
97#10622828C2211yescharacteristic, complemented
98C2×#66896C2211yescharacteristic, complemented
99#10622772C2211yescharacteristic, complemented
100#10622771C2211yescharacteristic, complemented
101#10622771C2211yescharacteristic, complemented
102#10622770C2211yescharacteristic, complemented
103#10622769C2211yescharacteristic, complemented
104#10622769C2211yescharacteristic, complemented
105#10622766C2211yescharacteristic, complemented
106#10622766C2211yescharacteristic, complemented
107D8×Dic11C2211yescharacteristic, complemented
108#10622750C2211yescharacteristic, complemented
109#10622746C2211yescharacteristic, complemented
110#10622741C2211yescharacteristic, complemented
111#10622729C2211yescharacteristic, complemented
112#10622726C2211yescharacteristic, complemented
113C8×C22⋊D11C2211yescharacteristic, complemented
114#10622688C2211yescharacteristic, complemented
115#10622684C2211yescharacteristic, complemented
116#10622682C2211yescharacteristic, complemented
117#10622679C2211yescharacteristic, complemented
118#10622655C2211yescharacteristic, complemented
119#10622655C2211yescharacteristic, complemented
120#10622654C2211yescharacteristic, complemented
121#10622654C2211yescharacteristic, complemented
122#10622650C2211yescharacteristic, complemented
123#10622650C2211yescharacteristic, complemented
124#10622648C2211yescharacteristic, complemented
125#10622646C2211yescharacteristic, complemented
126#10622632C2211yescharacteristic, complemented
127#10622631C2211yescharacteristic, complemented
128#10622627C2211yescharacteristic, complemented
129#10622624C2211yescharacteristic, complemented
130#10622622C2211yescharacteristic, complemented
131#10622615C2211yescharacteristic, complemented
132#10622609C2211yescharacteristic, complemented
133#10622584C2211yescharacteristic, complemented
134#10622579C2211yescharacteristic, complemented
135#10622504C2211yescharacteristic, complemented
136#10622500C2211yescharacteristic, complemented
137#10622497C2211yescharacteristic, complemented
138D11×#107C2211yescharacteristic, complemented
139#10622484C2211yescharacteristic, complemented
140#10622481C2211yescharacteristic, complemented
141#10622480C2211yescharacteristic, complemented
142#10622480C2211yescharacteristic, complemented
143#10622475C2211yescharacteristic, complemented
144#10622474C2211yescharacteristic, complemented
145D11×#106C2211yescharacteristic, complemented
146#10622465C2211yescharacteristic, complemented
147#10622462C2211yescharacteristic, complemented
148#10622460C2211yescharacteristic, complemented
149#10622449C2211yescharacteristic, complemented
150D11×C4⋊C8C2211yescharacteristic, complemented
151#10622397C2211yescharacteristic, complemented
152#10622397C2211yescharacteristic, complemented
153#10622396C2211yescharacteristic, complemented
154#10622396C2211yescharacteristic, complemented
155#10622393C2211yescharacteristic, complemented
156#10622393C2211yescharacteristic, complemented
157#10622391C2211yescharacteristic, complemented
158#10622391C2211yescharacteristic, complemented
159#10622390C2211yescharacteristic, complemented
160#10622389C2211yescharacteristic, complemented
161#10622389C2211yescharacteristic, complemented
162#10622387C2211yescharacteristic, complemented
163#10622385C2211yescharacteristic, complemented
164#10622385C2211yescharacteristic, complemented
165#10622385C2211yescharacteristic, complemented
166#10622385C2211yescharacteristic, complemented
167#10622384C2211yescharacteristic, complemented
168#10622384C2211yescharacteristic, complemented
169#10622384C2211yescharacteristic, complemented
170#10622384C2211yescharacteristic, complemented
171#10622384C2211yescharacteristic, complemented
172#10622384C2211yescharacteristic, complemented
173#10622384C2211yescharacteristic, complemented
174#10622383C2211yescharacteristic
175#10622383C2211yescharacteristic, complemented
176#10622383C2211yescharacteristic, complemented
177D11×#102C2211yescharacteristic
178D11×#102C2211yescharacteristic
179D11×#102C2211yescharacteristic, complemented
180D11×#102C2211yescharacteristic, complemented
181#10622381C2211yescharacteristic, complemented
182#10622381C2211yescharacteristic, complemented
183#10622381C2211yescharacteristic, complemented
184#10622381C2211yescharacteristic, complemented
185#10622380C2211yescharacteristic, complemented
186#10622380C2211yescharacteristic, complemented
187#10622379C2211yescharacteristic, complemented
188#10622376C2211yescharacteristic, complemented
189#10622371C2211yescharacteristic, complemented
190#10622369C2211yescharacteristic, complemented
191#10622346C2211yescharacteristic, complemented
192#10622346C2211yescharacteristic, complemented
193#10622342C2211yescharacteristic, complemented
194#10622340C2211yescharacteristic, complemented
195#10622340C2211yescharacteristic, complemented
196(C22⋊D11)⋊C8C2211yescharacteristic, complemented
197#10622336C2211yescharacteristic, complemented
198#10622335C2211yescharacteristic, complemented
199#10622323C2211yescharacteristic, complemented
200#10622320C2211yescharacteristic, complemented
201#10622319C2211yescharacteristic, complemented
202#10622316C2211yescharacteristic, complemented
203C22×D4×C11—21no—
204C22×D4×C11C2311yescharacteristic
205C22×D4×C11C2311yescharacteristic
206C22×C22⋊D11—21no—
207C22×C22⋊D11—21no—
208C22×C22⋊D11—21no—
209C22×C22⋊D11—21no—
210#67037—24no—
211#67037—24no—
212#67037—42no—
213#67037—42no—
214C2×#4341—21no—
215C2×#4341—21no—
216C2×#4341C2311yescharacteristic
217C2×#4341C2311yescharacteristic
218C2×#4341C2311yescharacteristic
219C2×#4341C2311yescharacteristic
220C2×#4341C2311yescharacteristic
221C2×D4×D11—21no—
222C2×D4×D11—21no—
223C2×D4×D11—21no—
224C2×D4×D11C2311yescharacteristic
225C2×D4×D11C2311yescharacteristic
226C2×D4×D11C2311yescharacteristic
227C2×#4339C2311yescharacteristic
228C2×#4339C2311yescharacteristic
229C2×#4339C2311yescharacteristic
230C2×#4339C2311yescharacteristic
231C22×C4×D11—21no—
232C2×C11×D8C2311yescharacteristic
233C2×C11×D8C2311yescharacteristic
234C2×C11×D8C2311yescharacteristic
235C2×C11×M16C2311yescharacteristic
236C22×C8×C11C2311yescharacteristic
237C11×#127C2311yescharacteristic
238C11×#126—21no—
239C11×#125C2311yescharacteristic
240C11×#123—21no—
241C11×#121—21no—
242C11×#121—21no—
243C11×#121C2311yescharacteristic
244C11×#121C2311yescharacteristic
245C11×#121C2311yescharacteristic
246C11×#121C2311yescharacteristic
247C11×#120—21no—
248C11×#120—21no—
249C4×D4×C11—21no—
250C4×D4×C11C2311yescharacteristic
251C4×D4×C11C2311yescharacteristic
252C4×D4×C11C2311yescharacteristic
253C11×#117C2311yescharacteristic
254C2×C11×C4⋊C4C2311yescharacteristic
255#67006—21no—
256#67006—21no—
257C2×C22⋊Dic11—21no—
258C2×C22⋊Dic11—21no—
259#66993D411yescharacteristic
260#66992—21no—
261#66992—21no—
262#66992—21no—
263#66992—21no—
264#66992—21no—
265#66992—21no—
266#66992—21no—
267#66991—21no—
268#66991—21no—
269#66991—21no—
270#66991—21no—
271#66991—21no—
272#66991—21no—
273#66991—21no—
274#66991—21no—
275#66991—21no—
276#66991—21no—
277#66991—21no—
278#66991D411yescharacteristic
279#66991C2311yescharacteristic
280#66991C2311yescharacteristic
281#66991C2311yescharacteristic
282#66991C2311yescharacteristic
283#66990—21no—
284#66990—21no—
285#66990—21no—
286#66990—21no—
287#66989C2311yescharacteristic
288#66989C2311yescharacteristic
289#66988—21no—
290#66988—21no—
291#66988—21no—
292#66988—21no—
293D4×Dic11—21no—
294D4×Dic11—21no—
295D4×Dic11—21no—
296D4×Dic11C2311yescharacteristic
297D4×Dic11C2311yescharacteristic
298C2×#4324C2311yescharacteristic
299C2×#4324C2311yescharacteristic
300C2×#4324C2311yescharacteristic
301C2×#4324C2311yescharacteristic
302C2×#4324C2311yescharacteristic
303C2×#4323C2311yescharacteristic
304#66983—21no—
305#66982—21no—
306#66982—21no—
307C4×C22⋊D11—21no—
308C4×C22⋊D11—21no—
309C4×C22⋊D11—21no—
310C4×C22⋊D11—21no—
311C4×C22⋊D11—21no—
312C4×C22⋊D11C2311yescharacteristic
313C4×C22⋊D11C2311yescharacteristic
314#66979—21no—
315#66979C2311yescharacteristic
316C2×C4⋊Dic11—21no—
317C2×C4⋊Dic11C2311yescharacteristic
318#66977C2311yescharacteristic
319#66977C2311yescharacteristic
320#66977C2311yescharacteristic
321#66977C2311yescharacteristic
322C2×C4×Dic11—21no—
323C2×#4318C2311yescharacteristic
324C22×C11⋊C8C2311yescharacteristic
325#66965—42no—
326#66965—42no—
327#66964—24no—
328#66960—42no—
329C2×Dic44C2311yescharacteristic
330C2×Dic44C2311yescharacteristic
331C2×#4314C2311yescharacteristic
332#66954—42no—
333C2×#4313C2311yescharacteristic
334C2×#4313C2311yescharacteristic
335C2×#4313C2311yescharacteristic
336C2×#4313C2311yescharacteristic
337C2×C8×D11C2311yescharacteristic
338C2×C8×D11C2311yescharacteristic
339C2×C8×D11C2311yescharacteristic
340C2×C8×D11C2311yescharacteristic
341#66951—21no—
342#66951—21no—
343#66950C2311yescharacteristic
344#66950C2311yescharacteristic
345#66950C2311yescharacteristic
346#66950C2311yescharacteristic
347#66948D411yescharacteristic
348#66947—21no—
349#66946—21no—
350#66946C2311yescharacteristic
351#66945—21no—
352#66945C2311yescharacteristic
353#66945C2311yescharacteristic
354#66945C2311yescharacteristic
355C4⋊C4×D11—21no—
356C4⋊C4×D11—21no—
357C4⋊C4×D11—21no—
358C4⋊C4×D11C2311yescharacteristic
359C4⋊C4×D11C2311yescharacteristic
360C4⋊C4×D11C2311yescharacteristic
361C4⋊C4×D11C2311yescharacteristic
362C4⋊C4×D11C2311yescharacteristic
363#66943—21no—
364#66943C2311yescharacteristic
365#66943C2311yescharacteristic
366#66942—21no—
367#66942—21no—
368#66942—21no—
369#66942—21no—
370#66941D411yescharacteristic
371#66940—21no—
372#66940C2311yescharacteristic
373#66939—21no—
374#66939—21no—
375#66939—21no—
376#66938D411yescharacteristic
377#66938D411yescharacteristic
378#66937—21no—
379#66937—21no—
380#66937—21no—
381#66937—21no—
382#66937—21no—
383#66937D411yescharacteristic
384#66937D411yescharacteristic
385#66936—21no—
386#66936—21no—
387#66936—21no—
388#66936—21no—
389#66936—21no—
390(C22⋊D11)⋊C4—21no—
391(C22⋊D11)⋊C4—21no—
392(C22⋊D11)⋊C4—21no—
393(C22⋊D11)⋊C4—21no—
394(C22⋊D11)⋊C4—21no—
395C22⋊C4×D11—21no—
396C22⋊C4×D11—21no—
397C22⋊C4×D11—21no—
398#66932—21no—
399#66932—21no—
400#66932—21no—
401#66932—21no—
402#66932—21no—
403#66931—21no—
404#66931—21no—
405#66931—21no—
406#66931—21no—
407#66930—21no—
408#66930—21no—
409C4×D44—21no—
410C4×D44C2311yescharacteristic
411C4×D44C2311yescharacteristic
412#66925—21no—
413C42×D11C2311yescharacteristic
414#66923—21no—
415#66923C2311yescharacteristic
416#66922C2311yescharacteristic
417C4×Dic22—21no—
418C4×Dic22C2311yescharacteristic
419C11×#107C2311yescharacteristic
420C11×#106C2311yescharacteristic
421C11×#106C2311yescharacteristic
422C11×C4⋊C8C2311yescharacteristic
423C11×#102C2311yescharacteristic
424C11×#102C2311yescharacteristic
425C11×#102C2311yescharacteristic
426C11×#102C2311yescharacteristic
427C11×#102C2311yescharacteristic
428C11×#102C2311yescharacteristic
429C11×#102C2311yescharacteristic
430C11×#102C2311yescharacteristic
431C11×#102C2311yescharacteristic
432C11×#102C2311yescharacteristic
433C11×C22⋊C8C2311yescharacteristic
434C11×C22⋊C8C2311yescharacteristic
435C11×#97C2311yescharacteristic
436#66896C2311yescharacteristic
437#66896C2311yescharacteristic
438#66896C2311yescharacteristic
439#66896C2311yescharacteristic
440#66896C2311yescharacteristic
441#66896C2311yescharacteristic
442#66896C2311yescharacteristic
443#66896C2311yescharacteristic
444#66896C2311yescharacteristic
445#66896C2311yescharacteristic
446C22⋊(C11⋊C8)C2311yescharacteristic
447C22⋊(C11⋊C8)C2311yescharacteristic
448#66885C2311yescharacteristic
449#66885C2311yescharacteristic
450#66885C2311yescharacteristic
451(C2×D11)⋊C8C2311yescharacteristic
452(C2×D11)⋊C8C2311yescharacteristic
453(C2×D11)⋊C8C2311yescharacteristic
454(C2×D11)⋊C8C2311yescharacteristic
455#66882C2311yescharacteristic
456#66882C2311yescharacteristic
457#66881C2311yescharacteristic
458#66880C2311yescharacteristic
459#66880C2311yescharacteristic
460#66880C2311yescharacteristic
461#66880C2311yescharacteristic
462#66880C2311yescharacteristic
463#66880C2311yescharacteristic
464#66880C2311yescharacteristic
465Dic11⋊C8C2311yescharacteristic
466Dic11⋊C8C2311yescharacteristic
467C8×Dic11C2311yescharacteristic
468C8×Dic11C2311yescharacteristic
469#66874C2311yescharacteristic
470#66874C2311yescharacteristic
471#66874C2311yescharacteristic
472#66874C2311yescharacteristic
473#66874C2311yescharacteristic
474#66874C2311yescharacteristic
475#66874C2311yescharacteristic
476#66873C2311yescharacteristic
477#66873C2311yescharacteristic
478#66873C2311yescharacteristic
479#66872C2311yescharacteristic
480#66872C2311yescharacteristic
481#66872C2311yescharacteristic
482#66871C2311yescharacteristic
483#66871C2311yescharacteristic
484#66871C2311yescharacteristic
485C4⋊(C11⋊C8)C2311yescharacteristic
486#66867C2311yescharacteristic
487#61201—111nomaximal, Sylow
488C24×C11—21no—
489C24×C11—21no—
490C23×D11—21no—
491C23×D11—21no—
492C23×D11—21no—
493C2×D4×C11—22no—
494C2×D4×C11—22no—
495C2×D4×C11—21no—
496C2×D4×C11—21no—
497C2×D4×C11—21no—
498C2×D4×C11—21no—
499C2×D4×C11—21no—
500C2×D4×C11—21no—
501C2×D4×C11—21no—
502C2×D4×C11—21no—
503C2×D4×C11—41no—
504C2×D4×C11—41no—
505C2×D4×C11—82no—
506C2×D4×C11C2×D411yescharacteristic
507C2×D4×C11C2411yescharacteristic
508C2×D4×C11C2411yescharacteristic
509C2×D4×C11C2411yescharacteristic
510C2×D4×C11C2411yescharacteristic
511C22×C4×C11—21no—
512C22×C4×C11—21no—
513C22×C4×C11—21no—
514C22×C4×C11C2411yescharacteristic
515C22×C4×C11C2411yescharacteristic
516C2×C22⋊D11—21no—
517C2×C22⋊D11—21no—
518C2×C22⋊D11—21no—
519C2×C22⋊D11—21no—
520C2×C22⋊D11—21no—
521C2×C22⋊D11—21no—
522C2×C22⋊D11—21no—
523C2×C22⋊D11—21no—
524C2×C22⋊D11—21no—
525C2×C22⋊D11—21no—
526C2×C22⋊D11—21no—
527C2×C22⋊D11—21no—
528C2×C22⋊D11—21no—
529C2×C22⋊D11—21no—
530C2×C22⋊D11—44no—
531C2×C22⋊D11—44no—
532C2×C22⋊D11—44no—
533C2×C22⋊D11—44no—
534C2×C22⋊D11C2×D411yescharacteristic
535C2×C22⋊D11C2×D411yescharacteristic
536C2×C22⋊D11C2×D411yescharacteristic
537C2×C22⋊D11C2×D411yescharacteristic
538C2×C22⋊D11C2×D411yescharacteristic
539C2×C22⋊D11C2×D411yescharacteristic
540C22×Dic11—21no—
541C22×Dic11—21no—
542C22×Dic11—21no—
543C22×Dic11—21no—
544C22×Dic11—21no—
545C22×Dic11—21no—
546C22×Dic11—21no—
547C22×Dic11—21no—
548#4341—22no—
549#4341—22no—
550#4341—22no—
551#4341—22no—
552#4341—22no—
553#4341—22no—
554#4341—22no—
555#4341—22no—
556#4341—41no—
557#4341—41no—
558#4341—44no—
559#4341—44no—
560D4×D11—22no—
561D4×D11—22no—
562D4×D11—22no—
563D4×D11—41no—
564D4×D11—41no—
565D4×D11—44no—
566D4×D11—44no—
567D4×D11—82no—
568D4×D11#4114yes—
569#4339—22no—
570#4339—22no—
571#4339—22no—
572#4339—22no—
573#4339—22no—
574#4339—22no—
575#4339—41no—
576#4339—41no—
577C2×D44C2×D411yescharacteristic
578C2×D44C2×D411yescharacteristic
579C2×D44C2×D411yescharacteristic
580C2×D44C2411yescharacteristic
581C2×C4×D11—21no—
582C2×C4×D11—21no—
583C2×C4×D11—21no—
584C2×C4×D11—21no—
585C2×C4×D11—21no—
586C2×C4×D11—21no—
587C2×C4×D11—21no—
588C2×C4×D11—21no—
589C2×C4×D11—21no—
590C2×C4×D11—82no—
591C2×C4×D11C2×D411yescharacteristic
592C2×C4×D11C2×D411yescharacteristic
593C2×C4×D11C2411yescharacteristic
594C2×C4×D11C2411yescharacteristic
595C2×C4×D11C2411yescharacteristic
596C2×Dic22C2×D411yescharacteristic
597C2×Dic22C2×D411yescharacteristic
598C2×Dic22C2411yescharacteristic
599C2×Dic22C2411yescharacteristic
600C2×Dic22C2411yescharacteristic
601C11×D8—22no—
602C11×D8—41no—
603C11×D8—41no—
604C11×M16—41no—
605C2×C8×C11—41no—
606C2×C8×C11C2411yescharacteristic
607C2×C8×C11C2411yescharacteristic
608C2×C8×C11C2411yescharacteristic
609C2×C8×C11C2411yescharacteristic
610C11×C4⋊C4—21no—
611C11×C4⋊C4—21no—
612C11×C4⋊C4—21no—
613C11×C4⋊C4C2×D411yescharacteristic
614C11×C4⋊C4C2411yescharacteristic
615C11×C4⋊C4C2411yescharacteristic
616C11×C4⋊C4C2411yescharacteristic
617C11×C4⋊C4C2411yescharacteristic
618C11×C22⋊C4—21no—
619C11×C22⋊C4—21no—
620C11×C22⋊C4—21no—
621C11×C22⋊C4—21no—
622C11×C22⋊C4—21no—
623C11×C22⋊C4—21no—
624C11×C22⋊C4—21no—
625C11×C22⋊C4C2×D411yescharacteristic
626C11×C22⋊C4C2×D411yescharacteristic
627C42×C11—21no—
628C42×C11C2411yescharacteristic
629C22⋊Dic11—21no—
630C22⋊Dic11—21no—
631C22⋊Dic11—21no—
632C22⋊Dic11—21no—
633C22⋊Dic11—21no—
634C22⋊Dic11—21no—
635C22⋊Dic11—21no—
636C22⋊Dic11—21no—
637C22⋊Dic11—21no—
638C22⋊Dic11—21no—
639C22⋊Dic11—21no—
640C22⋊Dic11—21no—
641C22⋊Dic11—21no—
642C22⋊Dic11—21no—
643C22⋊Dic11—21no—
644C22⋊Dic11C2×D411yescharacteristic
645C22⋊Dic11C2×D411yescharacteristic
646#4324—22no—
647#4324—41no—
648#4324—41no—
649#4324—41no—
650#4324—41no—
651#4323—22no—
652(C2×D11)⋊C4—21no—
653(C2×D11)⋊C4—21no—
654(C2×D11)⋊C4—21no—
655(C2×D11)⋊C4—21no—
656(C2×D11)⋊C4—21no—
657(C2×D11)⋊C4—21no—
658(C2×D11)⋊C4—21no—
659(C2×D11)⋊C4—21no—
660(C2×D11)⋊C4—21no—
661(C2×D11)⋊C4C2×D411yescharacteristic
662(C2×D11)⋊C4C2×D411yescharacteristic
663(C2×D11)⋊C4C2×D411yescharacteristic
664(C2×D11)⋊C4C2×D411yescharacteristic
665C4⋊Dic11—21no—
666C4⋊Dic11—21no—
667C4⋊Dic11—21no—
668C4⋊Dic11—21no—
669C4⋊Dic11—21no—
670C4⋊Dic11—21no—
671C4⋊Dic11—21no—
672C4⋊Dic11—21no—
673C4⋊Dic11—21no—
674C4⋊Dic11C2×D411yescharacteristic
675C4⋊Dic11C2411yescharacteristic
676C4⋊Dic11C2411yescharacteristic
677C4⋊Dic11C2411yescharacteristic
678C4⋊Dic11C2411yescharacteristic
679Dic11⋊C4—21no—
680Dic11⋊C4—21no—
681Dic11⋊C4—21no—
682Dic11⋊C4—21no—
683Dic11⋊C4—21no—
684Dic11⋊C4—21no—
685Dic11⋊C4—21no—
686Dic11⋊C4—21no—
687Dic11⋊C4—21no—
688Dic11⋊C4—21no—
689Dic11⋊C4—21no—
690Dic11⋊C4—21no—
691Dic11⋊C4—21no—
692Dic11⋊C4—21no—
693Dic11⋊C4—21no—
694Dic11⋊C4C2×D411yescharacteristic
695Dic11⋊C4C2×D411yescharacteristic
696C4×Dic11—21no—
697C4×Dic11—21no—
698C4×Dic11—21no—
699C4×Dic11—21no—
700C4×Dic11—21no—
701C4×Dic11—21no—
702C4×Dic11C2×D411yescharacteristic
703C4×Dic11C2×D411yescharacteristic
704C4×Dic11C2411yescharacteristic
705#4318—41no—
706C2×C11⋊C8—41no—
707C2×C11⋊C8C2411yescharacteristic
708C2×C11⋊C8C2411yescharacteristic
709C2×C11⋊C8C2411yescharacteristic
710C2×C11⋊C8C2411yescharacteristic
711Dic44—41no—
712Dic44—41no—
713#4314—22no—
714#4313—22no—
715#4313—22no—
716#4313—41no—
717#4313—41no—
718C8×D11—22no—
719C8×D11—22no—
720C8×D11—41no—
721C8×D11—41no—
722#3512—111no—
723#3496—111no—
724#3323—111no—
725#3323—111no—
726#3322—111no—
727#3322—111no—
728#3318—111no—
729#3318D1111yescharacteristic, complemented
730#3315—111no—
731#3315—111no—
732#3310—111no—
733#3310—111no—
734#3307—111no—
735#3307—111no—
736#3297—111no—
737#3297—111no—
738#3296—111no—
739#3296—111no—
740#3142—111no—
741#3099—111no—
742#3098—111no—
743C2×#478—111no—
744#3061—111no—
745#3060—111no—
746#3035—111no—
747#3012—111no—
748#3012—111no—
749C4×AGL(1,ℤ/8)—111no—
750#2935—111no—
751#2897—111no—
752#2897—111no—
753C23×C11—21no—
754C23×C11—21no—
755C23×C11—21no—
756C23×C11—21no—
757C23×C11—42no—
758C23×C11—42no—
759C23×C11—81no—
760C23×C11—81no—
761C23×C11—81no—
762C23×C11—81no—
763C23×C11C22×D411yescharacteristic
764C23×C11C22×D411yescharacteristic
765C22×D11—21no—
766C22×D11—24no—
767C22×D11—42no—
768C22×D11—42no—
769C22×D11—81no—
770C22×D11—81no—
771C22×D11—81no—
772C22×D11—81no—
773C22×D11—81no—
774C22×D11—81no—
775C22×D11C22×D411yescharacteristic
776C22×D11C22×D411yescharacteristic
777C22×D11C22×D411yescharacteristic
778D4×C11—21no—
779D4×C11—21no—
780D4×C11—21no—
781D4×C11—21no—
782D4×C11—21no—
783D4×C11—21no—
784D4×C11—21no—
785D4×C11—41no—
786D4×C11—42no—
787D4×C11—42no—
788D4×C11—42no—
789D4×C11—81no—
790D4×C11—81no—
791D4×C11—81no—
792D4×C11—81no—
793D4×C11—81no—
794D4×C11C2×#4112yes—
795C2×C4×C11—21no—
796C2×C4×C11—21no—
797C2×C4×C11—21no—
798C2×C4×C11—21no—
799C2×C4×C11—21no—
800C2×C4×C11—21no—
801C2×C4×C11—21no—
802C2×C4×C11—21no—
803C2×C4×C11—42no—
804C2×C4×C11—81no—
805C2×C4×C11—81no—
806C2×C4×C11C22×D411yescharacteristic
807C2×C4×C11C22×D411yescharacteristic
808C2×C4×C11C22×D411yescharacteristic
809C2×C4×C11C22×D411yescharacteristic
810C2×C4×C11C2511yescharacteristic
811C22⋊D11—22no—
812C22⋊D11—22no—
813C22⋊D11—22no—
814C22⋊D11—22no—
815C22⋊D11—24no—
816C22⋊D11—41no—
817C22⋊D11—41no—
818C22⋊D11—42no—
819C22⋊D11—42no—
820C22⋊D11—42no—
821C22⋊D11—42no—
822C22⋊D11—42no—
823C22⋊D11—42no—
824C22⋊D11—42no—
825C22⋊D11—42no—
826C22⋊D11—42no—
827C22⋊D11—81no—
828C22⋊D11—81no—
829C22⋊D11—81no—
830C22⋊D11—81no—
831C2×Dic11—21no—
832C2×Dic11—21no—
833C2×Dic11—21no—
834C2×Dic11—21no—
835C2×Dic11—21no—
836C2×Dic11—21no—
837C2×Dic11—21no—
838C2×Dic11—42no—
839C2×Dic11—42no—
840C2×Dic11—42no—
841C2×Dic11—42no—
842C2×Dic11—42no—
843C2×Dic11—81no—
844C2×Dic11—81no—
845C2×Dic11—81no—
846C2×Dic11C22×D411yescharacteristic
847C2×Dic11C22×D411yescharacteristic
848C2×Dic11C22×D411yescharacteristic
849C2×Dic11C22×D411yescharacteristic
850C2×Dic11C22×D411yescharacteristic
851D44—22no—
852D44—22no—
853D44—21no—
854D44—41no—
855D44C2×#4112yes—
856C4×D11—21no—
857C4×D11—21no—
858C4×D11—21no—
859C4×D11—21no—
860C4×D11—41no—
861C4×D11—41no—
862C4×D11—42no—
863C4×D11—42no—
864C4×D11—42no—
865C4×D11—81no—
866C4×D11—81no—
867C4×D11—81no—
868C4×D11—81no—
869C4×D11—81no—
870C4×D11—81no—
871C4×D11C2×#4112yes—
872C4×D11H(5,𝔽2)12yes—
873Dic22—22no—
874Dic22—22no—
875Dic22—21no—
876Dic22—21no—
877Dic22—21no—
878Dic22—21no—
879Dic22—21no—
880Dic22—21no—
881C8×C11—21no—
882C8×C11—21no—
883C8×C11—21no—
884C8×C11—21no—
885C11⋊C8—21no—
886C11⋊C8—21no—
887C11⋊C8—21no—
888C11⋊C8—21no—
889C2×H(5,𝔽2)—111no—
890C2×H(5,𝔽2)—111no—
891C2×AGL(1,ℤ/8)—111no—
892C2×#135—111no—
893C2×#135—111no—
894C2×#131—111no—
895C2×#131—111no—
896#553—111no—
897#553—111no—
898#553—111no—
899#553—221no—
900#553—221no—
901#553—221no—
902#553—221no—
903#553C2×D1111yescharacteristic, complemented
904#552—111no—
905#552—111no—
906#552—111no—
907#552—111no—
908#547—111no—
909#547—111no—
910#547—221no—
911#546—111no—
912#546—111no—
913#546—111no—
914#546—111no—
915#546—221no—
916#546—221no—
917D42—111no—
918D42—221no—
919D42C2×D1111yescharacteristic
920#541—221no—
921#540—221no—
922#537—111no—
923#537—111no—
924#537—111no—
925#537—111no—
926#534—221no—
927#534—221no—
928#532—111no—
929#532—111no—
930#529—221no—
931#529—221no—
932C2×#125—111no—
933C2×#121—221no—
934C2×#121—221no—
935#520—111no—
936#520—111no—
937C4×#41—111no—
938C2×C4×D4—111no—
939#491—111no—
940#491—111no—
941#490—111no—
942#490C2×D1111yescharacteristic, complemented
943#488—111no—
944#488—111no—
945#488—111no—
946#488—111no—
947#485—111no—
948#485—111no—
949#485—111no—
950#485—111no—
951#484—111no—
952#484—111no—
953#483—111no—
954#483—111no—
955#482—111no—
956#482—111no—
957#482—111no—
958#482C2×D1111yescharacteristic, complemented
959#481—111no—
960#481C2×D1111yescharacteristic, complemented
961#480—111no—
962#480—111no—
963#478—111no—
964#478—111no—
965#478—111no—
966#478—111no—
967#478—111no—
968#478—111no—
969#478—111no—
970#478C2×D1111yescharacteristic, complemented
971#470—111no—
972#470—111no—
973#469—111no—
974#469C2×D1111yescharacteristic, complemented
975#468—111no—
976#468—111no—
977#468—111no—
978#468—111no—
979#467—111no—
980#467—111no—
981#466—111no—
982#466C2×D1111yescharacteristic, complemented
983#465—111no—
984#465—111no—
985#465—111no—
986#465—111no—
987#464—111no—
988#464—111no—
989#463—111no—
990#463—111no—
991#462—111no—
992#461—111no—
993#460—111no—
994#459C2×D1111yescharacteristic, complemented
995#452—111no—
996#452—111no—
997#452—111no—
998#452—111no—
999#450—111no—
1000#450—111no—
1001#450—111no—
1002#450—111no—
1003#449—111no—
1004#449—111no—
1005#449—111no—
1006#449—111no—
1007#447—111no—
1008#447—111no—
1009#447C2×D1111yescharacteristic, complemented
1010#447C2×D1111yescharacteristic, complemented
1011#442—111no—
1012#442C2×D1111yescharacteristic, complemented
1013#440—111no—
1014#440—111no—
1015C4×SD16—111no—
1016C4×SD16—111no—
1017C4×D8—111no—
1018C4×D8—111no—
1019#436—111no—
1020#436—111no—
1021#435—111no—
1022#435—111no—
1023#435—111no—
1024#435C2×D1111yescharacteristic, complemented
1025C8×D4—111no—
1026C8×D4—111no—
1027#428—111no—
1028C2×#107—111no—
1029C2×#106—111no—
1030C2×C4⋊C8—111no—
1031#418—111no—
1032#418—111no—
1033#418—111no—
1034#418—111no—
1035#418C2×D1111yescharacteristic, complemented
1036#417—111no—
1037#417—111no—
1038#417—111no—
1039#417—111no—
1040#417—111no—
1041#417—111no—
1042#417—111no—
1043#417—111no—
1044#417—111no—
1045#416—111no—
1046#416—111no—
1047#416—111no—
1048#416—111no—
1049#416—111no—
1050#416—111no—
1051C2×#102—111no—
1052C2×#102—111no—
1053C2×#102—111no—
1054C2×#102—111no—
1055C2×#102—111no—
1056C2×#102C2×D1111yescharacteristic, complemented
1057#408—111no—
1058#408—111no—
1059C4×M16—111no—
1060C22×C11—21no—
1061C22×C11—21no—
1062C22×C11—21no—
1063C22×C11—21no—
1064C22×C11—21no—
1065C22×C11—21no—
1066C22×C11—22no—
1067C22×C11—41no—
1068C22×C11—41no—
1069C22×C11—41no—
1070C22×C11—41no—
1071C22×C11—41no—
1072C22×C11—41no—
1073C22×C11—41no—
1074C22×C11—41no—
1075C22×C11—41no—
1076C22×C11—41no—
1077C22×C11—41no—
1078C22×C11—162no—
1079C22×C11—162no—
1080C22×C11C23×D411yescharacteristic
1081C2×D11—21no—
1082C2×D11—21no—
1083C2×D11—21no—
1084C2×D11—21no—
1085C2×D11—21no—
1086C2×D11—21no—
1087C2×D11—22no—
1088C2×D11—21no—
1089C2×D11—21no—
1090C2×D11—41no—
1091C2×D11—41no—
1092C2×D11—84no—
1093C2×D11—162no—
1094C2×D11—162no—
1095C2×D11#54612yes—
1096C4×C11—21no—
1097C4×C11—21no—
1098C4×C11—21no—
1099C4×C11—21no—
1100C4×C11—41no—
1101C4×C11—41no—
1102C4×C11—41no—
1103C4×C11—41no—
1104C4×C11C22×#4111yescharacteristic
1105C4×C11C2×H(5,𝔽2)11yescharacteristic
1106Dic11—21no—
1107Dic11—21no—
1108Dic11—21no—
1109Dic11—21no—
1110Dic11—41no—
1111Dic11—41no—
1112Dic11—41no—
1113Dic11—41no—
1114Dic11—41no—
1115Dic11—41no—
1116Dic11—41no—
1117Dic11#54612yes—
1118H(5,𝔽2)—224no—
1119H(5,𝔽2)—224no—
1120H(5,𝔽2)—442no—
1121H(5,𝔽2)—442no—
1122C2×#41—111no—
1123C2×#41—111no—
1124C2×#41—111no—
1125C2×#41—111no—
1126C2×#41—111no—
1127C2×#41—111no—
1128C2×#41—111no—
1129C2×#41—111no—
1130C2×#41—111no—
1131C2×#41—221no—
1132C2×#41—221no—
1133C22×D4—21no—
1134C22×D4—111no—
1135C22×D4—111no—
1136C22×D4—111no—
1137C22×D4—221no—
1138C22×D4—221no—
1139C22×D4—221no—
1140C22×D4—221no—
1141C22×D4—221no—
1142C22×D4—221no—
1143C22×D4—221no—
1144C22×D4C22×D1111yescharacteristic
1145C22×D4C22×D1111yescharacteristic
1146C23×C4—221no—
1147AGL(1,ℤ/8)—224no—
1148#135—442no—
1149#135—442no—
1150C2×Q16—111no—
1151C2×Q16—111no—
1152C2×SD16—111no—
1153C2×SD16—111no—
1154C2×SD16—111no—
1155C2×SD16—111no—
1156C2×SD16—111no—
1157C2×SD16—111no—
1158C2×D8—111no—
1159C2×D8C22×D1111yescharacteristic
1160C2×D8C22×D1111yescharacteristic
1161C2×D8C22×D1111yescharacteristic
1162#131—442no—
1163#131—442no—
1164C2×M16—111no—
1165C2×M16—111no—
1166C2×M16—111no—
1167C2×M16—111no—
1168C2×M16—111no—
1169C2×M16C22×D1111yescharacteristic
1170C22×C8—111no—
1171C22×C8—111no—
1172C22×C8—111no—
1173C22×C8—111no—
1174C22×C8—111no—
1175C22×C8C22×D1111yescharacteristic
1176C4⋊Q8—111no—
1177C4⋊Q8—111no—
1178#127—111no—
1179#127C22×D1111yescharacteristic
1180#126—21no—
1181#126—221no—
1182#126—221no—
1183#126—221no—
1184#126—221no—
1185#126—221no—
1186#126—221no—
1187#126—221no—
1188#125—111no—
1189#125—111no—
1190#125—111no—
1191#125—221no—
1192#125—221no—
1193#125—221no—
1194#125—221no—
1195#125—221no—
1196#125—221no—
1197#125C22×D1111yescharacteristic
1198#124—111no—
1199#124—111no—
1200#124—111no—
1201#124—111no—
1202#123—21no—
1203#123—221no—
1204#123—221no—
1205#123—221no—
1206#123—221no—
1207#123—221no—
1208#123—221no—
1209#123—221no—
1210#123—221no—
1211#123—221no—
1212#123—221no—
1213#123—221no—
1214#123—221no—
1215#123—221no—
1216#123—221no—
1217#123—221no—
1218C22⋊Q8—111no—
1219C22⋊Q8—111no—
1220C22⋊Q8—111no—
1221C22⋊Q8—111no—
1222C22⋊Q8—111no—
1223C22⋊Q8—111no—
1224C22⋊Q8—111no—
1225C22⋊Q8—111no—
1226C22⋊Q8—221no—
1227C22⋊Q8—221no—
1228C22⋊Q8—221no—
1229C22⋊Q8—221no—
1230#121—21no—
1231#121—21no—
1232#121—111no—
1233#121—111no—
1234#121—111no—
1235#121—111no—
1236#121—111no—
1237#121—111no—
1238#121—111no—
1239#121—111no—
1240#121—221no—
1241#121—221no—
1242#121—221no—
1243#121—221no—
1244#121—221no—
1245#121—221no—
1246#121—221no—
1247#121—221no—
1248#121—221no—
1249#121—221no—
1250#121—221no—
1251#121—221no—
1252#121—221no—
1253#121—221no—
1254#121—221no—
1255#121—221no—
1256#121—221no—
1257#121—221no—
1258#121—221no—
1259#121—221no—
1260#121—221no—
1261#121—221no—
1262#121—221no—
1263#121—221no—
1264#121C22×D1111yescharacteristic
1265#121C22×D1111yescharacteristic
1266#121C22×D1111yescharacteristic
1267#121C22×D1111yescharacteristic
1268#120—21no—
1269#120—21no—
1270#120—221no—
1271#120—221no—
1272#120—221no—
1273#120—221no—
1274#120—221no—
1275#120—221no—
1276C4×Q8—111no—
1277C4×Q8—111no—
1278C4×Q8—221no—
1279C4×Q8—221no—
1280C4×D4—21no—
1281C4×D4—111no—
1282C4×D4—111no—
1283C4×D4—111no—
1284C4×D4—111no—
1285C4×D4—111no—
1286C4×D4—111no—
1287C4×D4—111no—
1288C4×D4—221no—
1289C4×D4—221no—
1290C4×D4—221no—
1291C4×D4—221no—
1292C4×D4—221no—
1293C4×D4—221no—
1294C4×D4—221no—
1295C4×D4—221no—
1296C4×D4—221no—
1297C4×D4—221no—
1298C4×D4—221no—
1299C4×D4—221no—
1300C4×D4—221no—
1301C4×D4—221no—
1302C4×D4—221no—
1303C4×D4C22×D1111yescharacteristic
1304C4×D4C22×D1111yescharacteristic
1305C4×D4C22×D1111yescharacteristic
1306#117—111no—
1307#117—111no—
1308#117—111no—
1309#117—111no—
1310#117—221no—
1311#117—221no—
1312#117—221no—
1313#117—221no—
1314#117—221no—
1315#117C22×D1111yescharacteristic
1316C2×C4⋊C4—111no—
1317C2×C4⋊C4—111no—
1318C2×C4⋊C4—111no—
1319C2×C4⋊C4—111no—
1320C2×C4⋊C4—111no—
1321C2×C4⋊C4—111no—
1322C2×C4⋊C4—221no—
1323C2×C4⋊C4—221no—
1324C2×C4⋊C4—221no—
1325C2×C4⋊C4—221no—
1326C2×C4⋊C4C22×D1111yescharacteristic
1327C2×C22⋊C4—221no—
1328C2×C22⋊C4—221no—
1329C2×C22⋊C4—221no—
1330C2×C22⋊C4—221no—
1331C2×C22⋊C4—221no—
1332C2×C42—111no—
1333C2×C42—221no—
1334#107—111no—
1335#107—111no—
1336#107—111no—
1337#107—111no—
1338#107—111no—
1339#107C22×D1111yescharacteristic
1340#106—111no—
1341#106—111no—
1342#106—111no—
1343#106—111no—
1344#106C22×D1111yescharacteristic
1345#106C22×D1111yescharacteristic
1346C4⋊C8—111no—
1347C4⋊C8—111no—
1348C4⋊C8—111no—
1349C4⋊C8C22×D1111yescharacteristic
1350#103—111no—
1351#103—111no—
1352#103—111no—
1353#103—111no—
1354#103—111no—
1355#103—111no—
1356#103—111no—
1357#103—111no—
1358#103—111no—
1359#103—111no—
1360#103—111no—
1361#103—111no—
1362#103—111no—
1363#103—111no—
1364#102—111no—
1365#102—111no—
1366#102—111no—
1367#102—111no—
1368#102—111no—
1369#102—111no—
1370#102—111no—
1371#102—111no—
1372#102—111no—
1373#102—111no—
1374#102—111no—
1375#102—111no—
1376#102—111no—
1377#102—111no—
1378#102—111no—
1379#102—111no—
1380#102C22×D1111yescharacteristic
1381#102C22×D1111yescharacteristic
1382#102C22×D1111yescharacteristic
1383#102C22×D1111yescharacteristic
1384#102C22×D1111yescharacteristic
1385#102C22×D1111yescharacteristic
1386#102C22×D1111yescharacteristic
1387#102C22×D1111yescharacteristic
1388#102C22×D1111yescharacteristic
1389#102C22×D1111yescharacteristic
1390C22⋊C8—111no—
1391C22⋊C8—111no—
1392C22⋊C8—111no—
1393C22⋊C8—111no—
1394C22⋊C8—111no—
1395C22⋊C8—111no—
1396C22⋊C8C22×D1111yescharacteristic
1397C22⋊C8C22×D1111yescharacteristic
1398#97—111no—
1399#97C22×D1111yescharacteristic
1400C4×C8—111no—
1401C4×C8—111no—
1402C2×C11—42no—
1403C2×C11—41no—
1404C2×C11—41no—
1405C2×C11—81no—
1406C2×C11—81no—
1407C2×C11—81no—
1408C2×C11C2×#54611yescharacteristic
1409C2×C11#358411yescharacteristic
1410C2×C11#358511yescharacteristic
1411D11—22no—
1412D11—41no—
1413D11—41no—
1414D11—42no—
1415C24—21no—
1416C24—21no—
1417C24—221no—
1418C24—221no—
1419C24—221no—
1420#41—222no—
1421#41—222no—
1422#41—222no—
1423#41—222no—
1424#41—222no—
1425#41—222no—
1426#41—222no—
1427#41—222no—
1428#41—222no—
1429#41—222no—
1430#41—222no—
1431#41—222no—
1432#41—222no—
1433#41—222no—
1434#41—441no—
1435#41—441no—
1436#41—441no—
1437#41—441no—
1438#41—444no—
1439#41—444no—
1440C2×Q8—111no—
1441C2×Q8—111no—
1442C2×Q8—111no—
1443C2×Q8—111no—
1444C2×Q8—111no—
1445C2×D4—22no—
1446C2×D4—22no—
1447C2×D4—21no—
1448C2×D4—21no—
1449C2×D4—21no—
1450C2×D4—21no—
1451C2×D4—21no—
1452C2×D4—21no—
1453C2×D4—21no—
1454C2×D4—21no—
1455C2×D4—41no—
1456C2×D4—41no—
1457C2×D4—82no—
1458C2×D4—114no—
1459C2×D4—111no—
1460C2×D4—111no—
1461C2×D4—111no—
1462C2×D4—111no—
1463C2×D4—111no—
1464C2×D4—111no—
1465C2×D4—111no—
1466C2×D4—111no—
1467C2×D4—111no—
1468C2×D4—111no—
1469C2×D4—222no—
1470C2×D4—221no—
1471C2×D4—221no—
1472C2×D4—221no—
1473C2×D4—222no—
1474C2×D4—222no—
1475C2×D4—221no—
1476C2×D4—221no—
1477C2×D4—221no—
1478C2×D4—221no—
1479C2×D4—221no—
1480C2×D4—221no—
1481C2×D4—221no—
1482C2×D4—221no—
1483C2×D4—221no—
1484C2×D4—221no—
1485C2×D4—221no—
1486C2×D4—441no—
1487C2×D4—441no—
1488C2×D4—444no—
1489C2×D4—444no—
1490C2×D4—444no—
1491C2×D4—444no—
1492C2×D4—444no—
1493C2×D4—444no—
1494C2×D4—882no—
1495C2×D4D4×D1111yescharacteristic
1496C2×D4C23×D1111yescharacteristic
1497C2×D4C23×D1111yescharacteristic
1498C2×D4C23×D1111yescharacteristic
1499C2×D4C23×D1111yescharacteristic
1500C22×C4—21no—
1501C22×C4—21no—
1502C22×C4—21no—
1503C22×C4—111no—
1504C22×C4—111no—
1505C22×C4—111no—
1506C22×C4—111no—
1507C22×C4—111no—
1508C22×C4—221no—
1509C22×C4—221no—
1510C22×C4—221no—
1511C22×C4—221no—
1512C22×C4—221no—
1513C22×C4—221no—
1514C22×C4—221no—
1515C22×C4—221no—
1516C22×C4—221no—
1517C22×C4—221no—
1518C22×C4—221no—
1519C22×C4—221no—
1520C22×C4—221no—
1521C22×C4—221no—
1522C22×C4—221no—
1523C22×C4—221no—
1524C22×C4—221no—
1525C22×C4—882no—
1526C22×C4C23×D1111yescharacteristic
1527C22×C4C23×D1111yescharacteristic
1528Q16—441no—
1529Q16—441no—
1530SD16—222no—
1531SD16—222no—
1532SD16—441no—
1533SD16—441no—
1534SD16—441no—
1535SD16—441no—
1536D8—22no—
1537D8—41no—
1538D8—41no—
1539D8—222no—
1540M16—41no—
1541M16—222no—
1542M16—222no—
1543M16—441no—
1544M16—441no—
1545M16—441no—
1546C2×C8—41no—
1547C2×C8—111no—
1548C2×C8—111no—
1549C2×C8—111no—
1550C2×C8—111no—
1551C2×C8—222no—
1552C2×C8—222no—
1553C2×C8—441no—
1554C2×C8—441no—
1555C2×C8—441no—
1556C2×C8C23×D1111yescharacteristic
1557C2×C8C23×D1111yescharacteristic
1558C2×C8C23×D1111yescharacteristic
1559C2×C8C23×D1111yescharacteristic
1560C4⋊C4—21no—
1561C4⋊C4—21no—
1562C4⋊C4—21no—
1563C4⋊C4—111no—
1564C4⋊C4—111no—
1565C4⋊C4—111no—
1566C4⋊C4—111no—
1567C4⋊C4—111no—
1568C4⋊C4—111no—
1569C4⋊C4—111no—
1570C4⋊C4—221no—
1571C4⋊C4—221no—
1572C4⋊C4—221no—
1573C4⋊C4—221no—
1574C4⋊C4—221no—
1575C4⋊C4—221no—
1576C4⋊C4—221no—
1577C4⋊C4—221no—
1578C4⋊C4—221no—
1579C4⋊C4—221no—
1580C4⋊C4—221no—
1581C4⋊C4—221no—
1582C4⋊C4—221no—
1583C4⋊C4—221no—
1584C4⋊C4—221no—
1585C4⋊C4—221no—
1586C4⋊C4—221no—
1587C4⋊C4—221no—
1588C4⋊C4—221no—
1589C4⋊C4—221no—
1590C4⋊C4—221no—
1591C4⋊C4—221no—
1592C4⋊C4—221no—
1593C4⋊C4—221no—
1594C4⋊C4D4×D1111yescharacteristic
1595C4⋊C4C23×D1111yescharacteristic
1596C4⋊C4C23×D1111yescharacteristic
1597C4⋊C4C23×D1111yescharacteristic
1598C4⋊C4C23×D1111yescharacteristic
1599C22⋊C4—21no—
1600C22⋊C4—21no—
1601C22⋊C4—21no—
1602C22⋊C4—21no—
1603C22⋊C4—21no—
1604C22⋊C4—21no—
1605C22⋊C4—21no—
1606C22⋊C4—111no—
1607C22⋊C4—111no—
1608C22⋊C4—111no—
1609C22⋊C4—111no—
1610C22⋊C4—111no—
1611C22⋊C4—111no—
1612C22⋊C4—221no—
1613C22⋊C4—221no—
1614C22⋊C4—221no—
1615C22⋊C4—221no—
1616C22⋊C4—221no—
1617C22⋊C4—221no—
1618C22⋊C4—221no—
1619C22⋊C4—221no—
1620C22⋊C4—221no—
1621C22⋊C4—221no—
1622C22⋊C4—221no—
1623C22⋊C4—221no—
1624C22⋊C4—221no—
1625C22⋊C4—221no—
1626C22⋊C4—221no—
1627C22⋊C4—221no—
1628C22⋊C4—221no—
1629C22⋊C4—221no—
1630C22⋊C4—221no—
1631C22⋊C4—221no—
1632C22⋊C4—221no—
1633C22⋊C4—221no—
1634C22⋊C4—221no—
1635C22⋊C4—221no—
1636C22⋊C4D4×D1111yescharacteristic
1637C22⋊C4D4×D1111yescharacteristic
1638C42—21no—
1639C42—111no—
1640C42—111no—
1641C42—111no—
1642C42—221no—
1643C42—221no—
1644C42—221no—
1645C42—221no—
1646C42—221no—
1647C42—221no—
1648C42C23×D1111yescharacteristic
1649C11#6120111yescharacteristic, complemented, Sylow
1650C23—21no—
1651C23—21no—
1652C23—21no—
1653C23—21no—
1654C23—42no—
1655C23—42no—
1656C23—81no—
1657C23—81no—
1658C23—81no—
1659C23—81no—
1660C23—111no—
1661C23—111no—
1662C23—111no—
1663C23—224no—
1664C23—221no—
1665C23—442no—
1666C23—442no—
1667C23—881no—
1668C23—881no—
1669C23—881no—
1670C23—881no—
1671C23—881no—
1672C23—881no—
1673C23C2×D4×D1111yescharacteristic
1674C23C2×D4×D1111yescharacteristic
1675Q8—222no—
1676Q8—222no—
1677Q8—221no—
1678Q8—221no—
1679Q8—221no—
1680Q8—221no—
1681Q8—221no—
1682Q8—221no—
1683D4—21no—
1684D4—21no—
1685D4—21no—
1686D4—21no—
1687D4—21no—
1688D4—21no—
1689D4—21no—
1690D4—41no—
1691D4—42no—
1692D4—42no—
1693D4—42no—
1694D4—81no—
1695D4—81no—
1696D4—81no—
1697D4—81no—
1698D4—81no—
1699D4—112no—
1700D4—222no—
1701D4—222no—
1702D4—224no—
1703D4—222no—
1704D4—222no—
1705D4—222no—
1706D4—222no—
1707D4—221no—
1708D4—441no—
1709D4—441no—
1710D4—441no—
1711D4—442no—
1712D4—442no—
1713D4—442no—
1714D4—442no—
1715D4—442no—
1716D4—442no—
1717D4—442no—
1718D4—442no—
1719D4—442no—
1720D4—881no—
1721D4—881no—
1722D4—881no—
1723D4—881no—
1724D4#41×D1112yes—
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—81no—
1735C2×C4—81no—
1736C2×C4—111no—
1737C2×C4—112no—
1738C2×C4—112no—
1739C2×C4—111no—
1740C2×C4—111no—
1741C2×C4—111no—
1742C2×C4—111no—
1743C2×C4—221no—
1744C2×C4—221no—
1745C2×C4—221no—
1746C2×C4—221no—
1747C2×C4—221no—
1748C2×C4—221no—
1749C2×C4—221no—
1750C2×C4—221no—
1751C2×C4—221no—
1752C2×C4—221no—
1753C2×C4—221no—
1754C2×C4—441no—
1755C2×C4—441no—
1756C2×C4—442no—
1757C2×C4—442no—
1758C2×C4—442no—
1759C2×C4—442no—
1760C2×C4—442no—
1761C2×C4—442no—
1762C2×C4—442no—
1763C2×C4—442no—
1764C2×C4—881no—
1765C2×C4—881no—
1766C2×C4—881no—
1767C2×C4—881no—
1768C2×C4—881no—
1769C2×C4—881no—
1770C2×C4—881no—
1771C2×C4—881no—
1772C2×C4—881no—
1773C2×C4C2×D4×D1111yescharacteristic
1774C2×C4C2×D4×D1111yescharacteristic
1775C2×C4C2×D4×D1111yescharacteristic
1776C2×C4C2×D4×D1111yescharacteristic
1777C2×C4C24×D1111yescharacteristic
1778C8—21no—
1779C8—21no—
1780C8—21no—
1781C8—21no—
1782C8—221no—
1783C8—221no—
1784C8—221no—
1785C8—221no—
1786C22—21no—
1787C22—21no—
1788C22—21no—
1789C22—21no—
1790C22—22no—
1791C22—21no—
1792C22—21no—
1793C22—41no—
1794C22—41no—
1795C22—41no—
1796C22—41no—
1797C22—41no—
1798C22—41no—
1799C22—41no—
1800C22—41no—
1801C22—41no—
1802C22—41no—
1803C22—41no—
1804C22—112no—
1805C22—162no—
1806C22—162no—
1807C22—221no—
1808C22—221no—
1809C22—221no—
1810C22—221no—
1811C22—221no—
1812C22—221no—
1813C22—222no—
1814C22—221no—
1815C22—221no—
1816C22—441no—
1817C22—441no—
1818C22—884no—
1819C22—1762no—
1820C22—1762no—
1821C22C22×D4×D1111yescharacteristic
1822C4—21no—
1823C4—21no—
1824C4—21no—
1825C4—21no—
1826C4—41no—
1827C4—41no—
1828C4—41no—
1829C4—41no—
1830C4—112no—
1831C4—221no—
1832C4—221no—
1833C4—221no—
1834C4—221no—
1835C4—441no—
1836C4—441no—
1837C4—441no—
1838C4—441no—
1839C4—441no—
1840C4—441no—
1841C4—441no—
1842C4C2×#41×D1111yescharacteristic
1843C4D11×H(5,𝔽2)11yescharacteristic
1844C2—41no—
1845C2—41no—
1846C2—42no—
1847C2—81no—
1848C2—81no—
1849C2—81no—
1850C2—222no—
1851C2—441no—
1852C2—441no—
1853C2—442no—
1854C2D11×#54611yescharacteristic
1855C2#1308338411yescharacteristic
1856C2#1308339211yescharacteristic
subgroupG/H
centerC22C22×D4×D11
commutator, cosocleC2×C4×C11C25
FrattiniC2×C4C24×D11
FittingC11×#3318C2
socleC22×C11C23×D4
hypercenter#3318D11
hypocenterC11#61201
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3318

Complements

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

NH ≅ G/Ntype
1. #13082534C2semidirect
2. #13082372C2semidirect
3. #13080835C2semidirect
4. #13080828C2semidirect
5. #13080821C2semidirect
6. #13080812C2semidirect
7. #13080764C2semidirect
8. #13080714C2semidirect
9. #13080709C2semidirect
10. #13080637C2semidirect
11. #13080636C2semidirect
12. #13080597C2semidirect
13. #13080586C2semidirect
14. #13080470C2semidirect
15. #13080461C2semidirect
16. #13080454C2semidirect
17. #13080447C2semidirect
18. #13079015C2semidirect
19. #13078606C2semidirect
20. #13078591C2semidirect
21. D11×#478C2semidirect
22. #13078281C2semidirect
23. #13078276C2semidirect
24. #13078064C2semidirect
25. #13077915C2semidirect
26. #13077915C2semidirect
27. #13077427C2semidirect
28. #13077357C2semidirect
29. #13077141C2semidirect
30. #13077137C2semidirect
31. C11×#3318C2semidirect
34. C11×#553C22semidirect
40. C2×#66965C22semidirect
41. C2×#66965C22semidirect
43. C2×#66960C22semidirect
44. C2×#66954C22semidirect
49. #10623225C22semidirect
50. D11×#125C22semidirect
53. #10623149C22semidirect
56. #10623145C22semidirect
62. #10623139C22semidirect
63. #10623139C22semidirect
70. #10623089C22semidirect
75. #10623072C22semidirect
77. C4×#4341C22semidirect
78. #10623060C22semidirect
79. #10623054C22semidirect
80. #10623044C22semidirect
81. #10623035C22semidirect
82. C11×#490C22semidirect
83. C11×#482C22semidirect
84. C11×#481C22semidirect
85. C11×#478C22semidirect
86. C11×#469C22semidirect
87. C11×#466C22semidirect
88. C11×#459C22semidirect
89. C11×#447C22semidirect
90. C11×#447C22semidirect
91. C11×#442C22semidirect
92. C11×#435C22semidirect
93. C11×#418C22semidirect
94. C2×C11×#102C22semidirect
95. #10622831C22semidirect
96. #10622831C22semidirect
97. #10622828C22semidirect
98. C2×#66896C22semidirect
99. #10622772C22semidirect
100. #10622771C22semidirect
101. #10622771C22semidirect
102. #10622770C22semidirect
103. #10622769C22semidirect
104. #10622769C22semidirect
105. #10622766C22semidirect
106. #10622766C22semidirect
107. D8×Dic11C22semidirect
108. #10622750C22semidirect
109. #10622746C22semidirect
110. #10622741C22semidirect
111. #10622729C22semidirect
112. #10622726C22semidirect
113. C8×C22⋊D11C22semidirect
114. #10622688C22semidirect
115. #10622684C22semidirect
116. #10622682C22semidirect
117. #10622679C22semidirect
118. #10622655C22semidirect
119. #10622655C22semidirect
120. #10622654C22semidirect
121. #10622654C22semidirect
122. #10622650C22semidirect
123. #10622650C22semidirect
124. #10622648C22semidirect
125. #10622646C22semidirect
126. #10622632C22semidirect
127. #10622631C22semidirect
128. #10622627C22semidirect
129. #10622624C22semidirect
130. #10622622C22semidirect
131. #10622615C22semidirect
132. #10622609C22semidirect
133. #10622584C22semidirect
134. #10622579C22semidirect
135. #10622504C22semidirect
136. #10622500C22semidirect
137. #10622497C22semidirect
138. D11×#107C22semidirect
139. #10622484C22semidirect
140. #10622481C22semidirect
141. #10622480C22semidirect
142. #10622480C22semidirect
143. #10622475C22semidirect
144. #10622474C22semidirect
145. D11×#106C22semidirect
146. #10622465C22semidirect
147. #10622462C22semidirect
148. #10622460C22semidirect
149. #10622449C22semidirect
150. D11×C4⋊C8C22semidirect
151. #10622397C22semidirect
152. #10622397C22semidirect
153. #10622396C22semidirect
154. #10622396C22semidirect
155. #10622393C22semidirect
156. #10622393C22semidirect
157. #10622391C22semidirect
158. #10622391C22semidirect
159. #10622390C22semidirect
160. #10622389C22semidirect
161. #10622389C22semidirect
162. #10622387C22semidirect
163. #10622385C22semidirect
164. #10622385C22semidirect
165. #10622385C22semidirect
166. #10622385C22semidirect
167. #10622384C22semidirect
168. #10622384C22semidirect
169. #10622384C22semidirect
170. #10622384C22semidirect
171. #10622384C22semidirect
172. #10622384C22semidirect
173. #10622384C22semidirect
175. #10622383C22semidirect
176. #10622383C22semidirect
179. D11×#102C22semidirect
180. D11×#102C22semidirect
181. #10622381C22semidirect
182. #10622381C22semidirect
183. #10622381C22semidirect
184. #10622381C22semidirect
185. #10622380C22semidirect
186. #10622380C22semidirect
187. #10622379C22semidirect
188. #10622376C22semidirect
189. #10622371C22semidirect
190. #10622369C22semidirect
191. #10622346C22semidirect
192. #10622346C22semidirect
193. #10622342C22semidirect
194. #10622340C22semidirect
195. #10622340C22semidirect
196. (C22⋊D11)⋊C8C22semidirect
197. #10622336C22semidirect
198. #10622335C22semidirect
199. #10622323C22semidirect
200. #10622320C22semidirect
201. #10622319C22semidirect
202. #10622316C22semidirect
729. #3318D11semidirect
903. #553C2×D11semidirect
942. #490C2×D11semidirect
958. #482C2×D11semidirect
960. #481C2×D11semidirect
970. #478C2×D11semidirect
974. #469C2×D11semidirect
982. #466C2×D11semidirect
994. #459C2×D11semidirect
1009. #447C2×D11semidirect
1010. #447C2×D11semidirect
1012. #442C2×D11semidirect
1024. #435C2×D11semidirect
1035. #418C2×D11semidirect
1056. C2×#102C2×D11semidirect
1649. C11#61201semidirect

Maximal subgroups

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

subgroupindex
#130825342
#130823722
#130808352
#130808282
#130808212
#130808122
#130807642
#130807142
#130807092
#130806372
#130806362
#130805972
#130805862
#130804702
#130804612
#130804542
#130804472
#130790152
#130786062
#130785912
D11×#4782
#130782812
#130782762
#130780642
#130779152
#130774272
#130773572
#130771412
#130771372
C11×#33182
#6120111