Finite Group Databasebeta

← #15639432

Subgroups — #15639432

Order 2816.

2056 conjugacy classes of subgroups.

The subgroup lattice has 1870 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13082897C211yesmaximal, characteristic, complemented
2#13082256C211yesmaximal, characteristic, complemented
3#13080928C211yesmaximal, characteristic, complemented
4#13080821C211yesmaximal, characteristic, complemented
5#13080713C211yesmaximal, characteristic, complemented
6#13080693C211yesmaximal, characteristic, complemented
7#13080645C211yesmaximal, characteristic, complemented
8#13080596C211yesmaximal, characteristic, complemented
9#13080526C211yesmaximal, characteristic, complemented
10#13080447C211yesmaximal, characteristic, complemented
11#13080332C211yesmaximal, characteristic, complemented
12#13080327C211yesmaximal, characteristic, complemented
13#13080260C211yesmaximal, characteristic, complemented
14#13080247C211yesmaximal, characteristic, complemented
15#13080171C211yesmaximal, characteristic, complemented
16#13080169C211yesmaximal, characteristic, complemented
17#13080135C211yesmaximal, characteristic, complemented
18#13080130C211yesmaximal, characteristic, complemented
19#13079721C211yesmaximal, characteristic, complemented
20#13079697C211yesmaximal, characteristic, complemented
21#13079511C211yesmaximal, characteristic, complemented
22#13079492C211yesmaximal, characteristic, complemented
23#13079455C211yesmaximal, characteristic, complemented
24#13079395C211yesmaximal, characteristic, complemented
25#13078862C211yesmaximal, characteristic, complemented
26#13078793C211yesmaximal, characteristic, complemented
27#13077893C211yesmaximal, characteristic, complemented
28#13077871C211yesmaximal, characteristic, complemented
29#13077829C211yesmaximal, characteristic, complemented
30#13077659C211yesmaximal, characteristic, complemented
31C11×#3012C211yesmaximal, characteristic, complemented
32C2×C11×H(5,𝔽2)C2211yescharacteristic
33C22×#4341C2211yescharacteristic
34C2×C11×AGL(1,ℤ/8)C2211yescharacteristic, complemented
35C2×C11×#135C2211yescharacteristic, complemented
36C11×#537C2211yescharacteristic
37#10623362C2211yescharacteristic, complemented
38#10623359C2211yescharacteristic
39#10623359C2211yescharacteristic
40#10623356C2211yescharacteristic
41#10623356C2211yescharacteristic
42#10623356C2211yescharacteristic
43#10623355—21no—
44#10623355—21no—
45#10623355C2211yescharacteristic
46#10623355C2211yescharacteristic
47#10623355C2211yescharacteristic
48#10623355C2211yescharacteristic
49#10623355C2211yescharacteristic, complemented
50C2×#67004C2211yescharacteristic, complemented
51#10623337—21no—
52#10623337—21no—
53#10623337C2211yescharacteristic
54#10623337C2211yescharacteristic
55#10623337C2211yescharacteristic
56#10623337C2211yescharacteristic
57#10623335—21no—
58#10623335—21no—
59#10623329C2211yescharacteristic
60C2×#66988—21no—
61C2×#66988—21no—
62C22×#4324C2211yescharacteristic, complemented
63C2×#66968C2211yescharacteristic, complemented
64C2×#66968C2211yescharacteristic, complemented
65C2×#66965C2211yescharacteristic, complemented
66C2×#66965C2211yescharacteristic, complemented
67#10623177—21no—
68#10623172C2211yescharacteristic, complemented
69#10623167—21no—
70#10623163C2211yescharacteristic, complemented
71D11×C22⋊Q8C2211yescharacteristic, complemented
72#10623156C2211yescharacteristic, complemented
73#10623152—21no—
74#10623145—21no—
75#10623145C2211yescharacteristic, complemented
76#10623144—21no—
77#10623144—21no—
78#10623137C2211yescharacteristic, complemented
79#10623134—21no—
80#10623134C2211yescharacteristic, complemented
81#10623133—21no—
82#10623129C2211yescharacteristic, complemented
83#10623044C2211yescharacteristic, complemented
84#10623042C2211yescharacteristic, complemented
85C11×#452C2211yescharacteristic
86C11×#452C2211yescharacteristic, complemented
87C11×#450C2211yescharacteristic
88C11×#450C2211yescharacteristic, complemented
89C11×#449C2211yescharacteristic
90C11×#449C2211yescharacteristic, complemented
91C11×#447C2211yescharacteristic
92C11×#447C2211yescharacteristic, complemented
93C11×#417C2211yescharacteristic, complemented
94C2×C11×#102C2211yescharacteristic, complemented
95C11×#408C2211yescharacteristic
96#10622852C2211yescharacteristic
97#10622852C2211yescharacteristic
98#10622852C2211yescharacteristic, complemented
99#10622852C2211yescharacteristic, complemented
100#10622852C2211yescharacteristic, complemented
101#10622852C2211yescharacteristic, complemented
102#10622847C2211yescharacteristic
103#10622846C2211yescharacteristic, complemented
104#10622831C2211yescharacteristic
105#10622831C2211yescharacteristic
106#10622831C2211yescharacteristic, complemented
107#10622831C2211yescharacteristic, complemented
108#10622828C2211yescharacteristic, complemented
109#10622801C2211yescharacteristic, complemented
110#10622799C2211yescharacteristic, complemented
111#10622795C2211yescharacteristic, complemented
112#10622794C2211yescharacteristic, complemented
113#10622787C2211yescharacteristic, complemented
114#10622786C2211yescharacteristic, complemented
115#10622786C2211yescharacteristic, complemented
116#10622786C2211yescharacteristic, complemented
117#10622784C2211yescharacteristic, complemented
118#10622783C2211yescharacteristic, complemented
119#10622780C2211yescharacteristic, complemented
120#10622780C2211yescharacteristic, complemented
121#10622779C2211yescharacteristic, complemented
122#10622777C2211yescharacteristic, complemented
123#10622775C2211yescharacteristic, complemented
124#10622775C2211yescharacteristic, complemented
125#10622775C2211yescharacteristic, complemented
126SD16×Dic11C2211yescharacteristic, complemented
127#10622772C2211yescharacteristic, complemented
128#10622771C2211yescharacteristic, complemented
129#10622771C2211yescharacteristic, complemented
130#10622771C2211yescharacteristic, complemented
131#10622768C2211yescharacteristic, complemented
132#10622766C2211yescharacteristic, complemented
133#10622766C2211yescharacteristic, complemented
134#10622766C2211yescharacteristic, complemented
135#10622765C2211yescharacteristic, complemented
136D8×Dic11C2211yescharacteristic, complemented
137#10622750C2211yescharacteristic, complemented
138#10622750C2211yescharacteristic, complemented
139#10622741C2211yescharacteristic, complemented
140#10622740C2211yescharacteristic, complemented
141#10622729C2211yescharacteristic, complemented
142#10622729C2211yescharacteristic, complemented
143#10622724C2211yescharacteristic, complemented
144C8×C22⋊D11C2211yescharacteristic, complemented
145#10622665C2211yescharacteristic, complemented
146#10622664C2211yescharacteristic, complemented
147#10622663C2211yescharacteristic, complemented
148#10622658C2211yescharacteristic, complemented
149#10622655C2211yescharacteristic, complemented
150#10622654C2211yescharacteristic, complemented
151#10622653C2211yescharacteristic, complemented
152#10622648C2211yescharacteristic, complemented
153#10622584C2211yescharacteristic, complemented
154#10622583C2211yescharacteristic, complemented
155#10622429C2211yescharacteristic, complemented
156#10622428C2211yescharacteristic, complemented
157#10622426C2211yescharacteristic, complemented
158#10622418C2211yescharacteristic, complemented
159#10622410C2211yescharacteristic, complemented
160#10622406C2211yescharacteristic, complemented
161#10622406C2211yescharacteristic, complemented
162#10622405C2211yescharacteristic, complemented
163#10622397C2211yescharacteristic, complemented
164#10622396C2211yescharacteristic, complemented
165#10622396C2211yescharacteristic, complemented
166#10622396C2211yescharacteristic, complemented
167#10622396C2211yescharacteristic, complemented
168#10622393C2211yescharacteristic, complemented
169#10622391C2211yescharacteristic, complemented
170#10622387C2211yescharacteristic, complemented
171#10622385C2211yescharacteristic, complemented
172#10622385C2211yescharacteristic, complemented
173#10622384C2211yescharacteristic, complemented
174#10622384C2211yescharacteristic, complemented
175#10622381C2211yescharacteristic, complemented
176#10622380C2211yescharacteristic, complemented
177#10622380C2211yescharacteristic, complemented
178#10622379C2211yescharacteristic, complemented
179#10622378C2211yescharacteristic, complemented
180#10622376C2211yescharacteristic, complemented
181#10622374C2211yescharacteristic, complemented
182#10622372C2211yescharacteristic, complemented
183#10622371C2211yescharacteristic, complemented
184#10622371C2211yescharacteristic, complemented
185#10622370C2211yescharacteristic, complemented
186#10622370C2211yescharacteristic, complemented
187#10622352C2211yescharacteristic, complemented
188#10622352C2211yescharacteristic, complemented
189#10622352C2211yescharacteristic, complemented
190#10622352C2211yescharacteristic, complemented
191#10622343C2211yescharacteristic, complemented
192#10622342C2211yescharacteristic, complemented
193#10622341C2211yescharacteristic, complemented
194#10622339C2211yescharacteristic, complemented
195(C22⋊D11)⋊C8C2211yescharacteristic, complemented
196D11×C22⋊C8C2211yescharacteristic, complemented
197#10622336C2211yescharacteristic, complemented
198#10622336C2211yescharacteristic, complemented
199#10622336C2211yescharacteristic, complemented
200#10622336C2211yescharacteristic, complemented
201#10622333C2211yescharacteristic, complemented
202#10622333C2211yescharacteristic, complemented
203C11×H(5,𝔽2)—42no—
204C11×H(5,𝔽2)—42no—
205C2×C11×#41—21no—
206C2×C11×#41C2311yescharacteristic
207C2×C11×#41C2311yescharacteristic
208C2×C11×#41C2311yescharacteristic
209C2×C11×#41C2311yescharacteristic
210C2×C11×#41C2311yescharacteristic
211C22×D4×C11—21no—
212C22×D4×C11—21no—
213C22×D4×C11—21no—
214C22×D4×C11C2311yescharacteristic
215C22×D4×C11C2311yescharacteristic
216C22×D4×C11C2311yescharacteristic
217C22×C22⋊D11—21no—
218C23×Dic11—21no—
219C2×Q8×D11C2311yescharacteristic
220C2×#4341—21no—
221C2×#4341—21no—
222C2×#4341—42no—
223C2×#4341—42no—
224C2×#4341C2311yescharacteristic
225C2×#4341C2311yescharacteristic
226C2×#4341C2311yescharacteristic
227C2×#4341C2311yescharacteristic
228C2×#4341C2311yescharacteristic
229C22×C4×D11C2311yescharacteristic
230C22×Dic22C2311yescharacteristic
231C22×Dic22C2311yescharacteristic
232C11×AGL(1,ℤ/8)—42no—
233C11×#135—42no—
234C2×C11×Q16C2311yescharacteristic
235C2×C11×SD16C2311yescharacteristic
236C2×C11×SD16C2311yescharacteristic
237C2×C11×SD16C2311yescharacteristic
238C2×C11×SD16C2311yescharacteristic
239C2×C11×D8C2311yescharacteristic
240C2×C11×D8C2311yescharacteristic
241C2×C11×D8C2311yescharacteristic
242C2×C11×M16C2311yescharacteristic
243C22×C8×C11C2311yescharacteristic
244C11×C22⋊Q8—21no—
245C11×C22⋊Q8C2311yescharacteristic
246C11×C22⋊Q8C2311yescharacteristic
247C11×#121—21no—
248C11×#121—21no—
249C11×#121—21no—
250C11×#121C2311yescharacteristic
251C11×#121C2311yescharacteristic
252C2×C11×C4⋊C4C2311yescharacteristic
253#67006—21no—
254#67006—21no—
255#67006—21no—
256#67006—21no—
257C2×C22⋊Dic11—21no—
258C2×C22⋊Dic11—21no—
259C2×C22⋊Dic11—21no—
260C2×C22⋊Dic11—21no—
261C2×C22⋊Dic11—21no—
262C2×C22⋊Dic11—21no—
263#67004—42no—
264#66999D411yescharacteristic
265#66999D411yescharacteristic
266#66999C2311yescharacteristic
267#66999C2311yescharacteristic
268#66999C2311yescharacteristic
269Q8×Dic11C2311yescharacteristic
270#66997—21no—
271#66997—21no—
272#66997C2311yescharacteristic
273#66997C2311yescharacteristic
274#66997C2311yescharacteristic
275C2×#4326C2311yescharacteristic
276C2×#4326C2311yescharacteristic
277C2×#4326C2311yescharacteristic
278C2×#4326C2311yescharacteristic
279#66992—21no—
280#66992—21no—
281#66992—21no—
282#66992—21no—
283#66992—21no—
284#66992—21no—
285#66992—21no—
286#66992—21no—
287#66992—21no—
288#66992—21no—
289#66991—21no—
290#66991—21no—
291#66991D411yescharacteristic
292#66991D411yescharacteristic
293#66991C2311yescharacteristic
294#66991C2311yescharacteristic
295#66991C2311yescharacteristic
296#66990—21no—
297#66990—21no—
298#66990D411yescharacteristic
299#66990D411yescharacteristic
300#66989—21no—
301#66989—21no—
302#66989—21no—
303#66989—21no—
304#66989C2311yescharacteristic
305#66989C2311yescharacteristic
306#66989C2311yescharacteristic
307#66988—21no—
308#66988—21no—
309#66988—21no—
310#66988—21no—
311#66988—21no—
312#66988—21no—
313#66988—21no—
314#66988—21no—
315#66988—21no—
316#66988—21no—
317#66988—21no—
318#66988—21no—
319#66988—21no—
320#66988—21no—
321#66988—21no—
322#66988—21no—
323#66988—21no—
324#66988—21no—
325#66988D411yescharacteristic
326#66988D411yescharacteristic
327D4×Dic11—21no—
328D4×Dic11—21no—
329D4×Dic11—21no—
330D4×Dic11—21no—
331D4×Dic11C2311yescharacteristic
332D4×Dic11C2311yescharacteristic
333D4×Dic11C2311yescharacteristic
334D4×Dic11C2311yescharacteristic
335D4×Dic11C2311yescharacteristic
336C2×#4324—42no—
337C2×#4324C2311yescharacteristic
338C2×#4324C2311yescharacteristic
339C2×#4324C2311yescharacteristic
340C2×#4324C2311yescharacteristic
341C2×#4324C2311yescharacteristic
342C2×#4324C2311yescharacteristic
343C2×#4324C2311yescharacteristic
344C2×#4324C2311yescharacteristic
345#66982—21no—
346#66982—21no—
347#66982—21no—
348#66982—21no—
349#66982—21no—
350#66982—21no—
351C4×C22⋊D11—21no—
352C4×C22⋊D11—21no—
353C4×C22⋊D11—21no—
354C4×C22⋊D11—21no—
355C4×C22⋊D11C2311yescharacteristic
356C4×C22⋊D11C2311yescharacteristic
357C4×C22⋊D11C2311yescharacteristic
358C4×C22⋊D11C2311yescharacteristic
359#66979—21no—
360#66979C2311yescharacteristic
361#66979C2311yescharacteristic
362#66979C2311yescharacteristic
363#66977—21no—
364#66977—21no—
365#66977—21no—
366#66977—21no—
367#66977C2311yescharacteristic
368#66977C2311yescharacteristic
369#66977C2311yescharacteristic
370#66977C2311yescharacteristic
371#66977C2311yescharacteristic
372#66977C2311yescharacteristic
373#66977C2311yescharacteristic
374#66977C2311yescharacteristic
375C2×Dic11⋊C4—21no—
376C2×Dic11⋊C4—21no—
377C2×Dic11⋊C4—21no—
378C2×Dic11⋊C4—21no—
379C2×Dic11⋊C4—21no—
380C2×#4318C2311yescharacteristic
381C22×C11⋊C8C2311yescharacteristic
382#66968—42no—
383#66968—42no—
384#66965—42no—
385#66965—42no—
386C2×Dic44C2311yescharacteristic
387C2×Dic44C2311yescharacteristic
388C2×Dic44C2311yescharacteristic
389C2×Dic44C2311yescharacteristic
390C2×#4313C2311yescharacteristic
391C2×#4313C2311yescharacteristic
392C2×C8×D11C2311yescharacteristic
393C2×C8×D11C2311yescharacteristic
394#66951—21no—
395#66951—21no—
396#66950C2311yescharacteristic
397#66950C2311yescharacteristic
398#66949—21no—
399#66949—21no—
400#66949—21no—
401#66945C2311yescharacteristic
402C4⋊C4×D11—21no—
403C4⋊C4×D11C2311yescharacteristic
404#66943—21no—
405#66943C2311yescharacteristic
406#66942—21no—
407#66942—21no—
408#66942—21no—
409#66941—21no—
410#66941C2311yescharacteristic
411#66940—21no—
412#66940C2311yescharacteristic
413#66940C2311yescharacteristic
414#66938—21no—
415#66938—21no—
416#66936—21no—
417(C22⋊D11)⋊C4—21no—
418(C22⋊D11)⋊C4—21no—
419(C22⋊D11)⋊C4—21no—
420C22⋊C4×D11—21no—
421#66932—21no—
422#66932—21no—
423#66932—21no—
424#66932—21no—
425#66932—21no—
426#66931—21no—
427#66931—21no—
428#66931—21no—
429#66931—21no—
430C11×#103C2311yescharacteristic
431C11×#103C2311yescharacteristic
432C11×#102C2311yescharacteristic
433C11×#102C2311yescharacteristic
434C11×#102C2311yescharacteristic
435C11×#102C2311yescharacteristic
436C11×#102C2311yescharacteristic
437C11×#102C2311yescharacteristic
438C11×C22⋊C8C2311yescharacteristic
439C11×C22⋊C8C2311yescharacteristic
440C11×C22⋊C8C2311yescharacteristic
441C11×C22⋊C8C2311yescharacteristic
442#66899C2311yescharacteristic
443#66899C2311yescharacteristic
444#66899C2311yescharacteristic
445#66899C2311yescharacteristic
446#66896C2311yescharacteristic
447#66896C2311yescharacteristic
448#66896C2311yescharacteristic
449#66896C2311yescharacteristic
450#66896C2311yescharacteristic
451#66896C2311yescharacteristic
452#66896C2311yescharacteristic
453#66896C2311yescharacteristic
454C22⋊(C11⋊C8)C2311yescharacteristic
455C22⋊(C11⋊C8)C2311yescharacteristic
456C22⋊(C11⋊C8)C2311yescharacteristic
457C22⋊(C11⋊C8)C2311yescharacteristic
458(C2×D11)⋊C8C2311yescharacteristic
459(C2×D11)⋊C8C2311yescharacteristic
460(C2×D11)⋊C8C2311yescharacteristic
461(C2×D11)⋊C8C2311yescharacteristic
462#66882C2311yescharacteristic
463#66882C2311yescharacteristic
464#66881C2311yescharacteristic
465#66881C2311yescharacteristic
466#66880C2311yescharacteristic
467#66880C2311yescharacteristic
468#66880C2311yescharacteristic
469#66880C2311yescharacteristic
470#66880C2311yescharacteristic
471#66880C2311yescharacteristic
472#66880C2311yescharacteristic
473#66880C2311yescharacteristic
474#66879C2311yescharacteristic
475#66879C2311yescharacteristic
476Dic11⋊C8C2311yescharacteristic
477Dic11⋊C8C2311yescharacteristic
478Dic11⋊C8C2311yescharacteristic
479Dic11⋊C8C2311yescharacteristic
480C8×Dic11C2311yescharacteristic
481C8×Dic11C2311yescharacteristic
482#66874C2311yescharacteristic
483#66874C2311yescharacteristic
484#66874C2311yescharacteristic
485#66874C2311yescharacteristic
486#66872C2311yescharacteristic
487#66872C2311yescharacteristic
488#66871C2311yescharacteristic
489#66871C2311yescharacteristic
490#61613—111nomaximal, Sylow
491C24×C11—21no—
492C24×C11—21no—
493C24×C11—21no—
494C23×D11C2×D411yescharacteristic
495C11×#41—22no—
496C11×#41—22no—
497C11×#41—41no—
498C11×#41—41no—
499C11×#41—41no—
500C11×#41—41no—
501C11×#41—41no—
502C11×#41—41no—
503C11×#41—41no—
504C11×#41—41no—
505C11×#41—44no—
506C2×Q8×C11C2×D411yescharacteristic
507C2×Q8×C11C2411yescharacteristic
508C2×Q8×C11C2411yescharacteristic
509C2×D4×C11—22no—
510C2×D4×C11—22no—
511C2×D4×C11—22no—
512C2×D4×C11—22no—
513C2×D4×C11—21no—
514C2×D4×C11—21no—
515C2×D4×C11—21no—
516C2×D4×C11—21no—
517C2×D4×C11—21no—
518C2×D4×C11—21no—
519C2×D4×C11—21no—
520C2×D4×C11—21no—
521C2×D4×C11—21no—
522C2×D4×C11—41no—
523C2×D4×C11—41no—
524C2×D4×C11—44no—
525C2×D4×C11—44no—
526C2×D4×C11—44no—
527C2×D4×C11C2×D411yescharacteristic
528C2×D4×C11C2×D411yescharacteristic
529C2×D4×C11C2×D411yescharacteristic
530C2×D4×C11C2411yescharacteristic
531C2×D4×C11C2411yescharacteristic
532C2×D4×C11C2411yescharacteristic
533C2×D4×C11C2411yescharacteristic
534C22×C4×C11—21no—
535C22×C4×C11—21no—
536C22×C4×C11—21no—
537C22×C4×C11—21no—
538C22×C4×C11—21no—
539C22×C4×C11C2411yescharacteristic
540C22×C4×C11C2411yescharacteristic
541C22×C4×C11C2411yescharacteristic
542C2×C22⋊D11—21no—
543C2×C22⋊D11—21no—
544C2×C22⋊D11—21no—
545C2×C22⋊D11—21no—
546C2×C22⋊D11—21no—
547C2×C22⋊D11—21no—
548C2×C22⋊D11—21no—
549C2×C22⋊D11—21no—
550C2×C22⋊D11—44no—
551C2×C22⋊D11C2×D411yescharacteristic
552C2×C22⋊D11C2×D411yescharacteristic
553C2×C22⋊D11C2×D411yescharacteristic
554C2×C22⋊D11C2×D411yescharacteristic
555C22×Dic11—21no—
556C22×Dic11—21no—
557C22×Dic11—21no—
558C22×Dic11—21no—
559C22×Dic11—21no—
560C22×Dic11—21no—
561C22×Dic11—21no—
562C22×Dic11—21no—
563C22×Dic11—21no—
564C22×Dic11—21no—
565C22×Dic11—21no—
566C22×Dic11—21no—
567C22×Dic11—44no—
568C22×Dic11C2×D411yescharacteristic
569Q8×D11—41no—
570Q8×D11—41no—
571#4341—22no—
572#4341—22no—
573#4341—22no—
574#4341—22no—
575#4341—41no—
576#4341—41no—
577#4341—41no—
578#4341—41no—
579#4341—41no—
580#4341—41no—
581#4341—44no—
582#4341—44no—
583C2×C4×D11—21no—
584C2×C4×D11—21no—
585C2×C4×D11—41no—
586C2×C4×D11—41no—
587C2×C4×D11C2×D411yescharacteristic
588C2×C4×D11C2×D411yescharacteristic
589C2×C4×D11C2411yescharacteristic
590C2×C4×D11C2411yescharacteristic
591C2×Dic22—21no—
592C2×Dic22—21no—
593C2×Dic22—21no—
594C2×Dic22—21no—
595C2×Dic22—41no—
596C2×Dic22—41no—
597C2×Dic22—41no—
598C2×Dic22—41no—
599C2×Dic22C2411yescharacteristic
600C2×Dic22C2411yescharacteristic
601C2×Dic22C2411yescharacteristic
602C2×Dic22C2411yescharacteristic
603C11×Q16—41no—
604C11×SD16—22no—
605C11×SD16—22no—
606C11×SD16—41no—
607C11×SD16—41no—
608C11×D8—22no—
609C11×D8—22no—
610C11×D8—41no—
611C11×M16—41no—
612C2×C8×C11—41no—
613C2×C8×C11C2411yescharacteristic
614C2×C8×C11C2411yescharacteristic
615C2×C8×C11C2411yescharacteristic
616C2×C8×C11C2411yescharacteristic
617C11×C4⋊C4—21no—
618C11×C4⋊C4—21no—
619C11×C4⋊C4—21no—
620C11×C4⋊C4C2411yescharacteristic
621C11×C4⋊C4C2411yescharacteristic
622C11×C22⋊C4—21no—
623C11×C22⋊C4—21no—
624C11×C22⋊C4—21no—
625C11×C22⋊C4—21no—
626C22⋊Dic11—21no—
627C22⋊Dic11—21no—
628C22⋊Dic11—21no—
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⋊Dic11—21no—
645C22⋊Dic11—21no—
646C22⋊Dic11—21no—
647C22⋊Dic11—21no—
648C22⋊Dic11—21no—
649C22⋊Dic11—21no—
650C22⋊Dic11C2×D411yescharacteristic
651C22⋊Dic11C2×D411yescharacteristic
652C22⋊Dic11C2×D411yescharacteristic
653C22⋊Dic11C2×D411yescharacteristic
654C22⋊Dic11C2×D411yescharacteristic
655C22⋊Dic11C2×D411yescharacteristic
656#4326—41no—
657#4326—41no—
658#4326—41no—
659#4326—41no—
660#4324—22no—
661#4324—22no—
662#4324—22no—
663#4324—22no—
664#4324—41no—
665#4324—41no—
666#4324—41no—
667#4324—41no—
668(C2×D11)⋊C4—21no—
669(C2×D11)⋊C4—21no—
670(C2×D11)⋊C4—21no—
671(C2×D11)⋊C4—21no—
672(C2×D11)⋊C4—21no—
673(C2×D11)⋊C4—21no—
674(C2×D11)⋊C4C2×D411yescharacteristic
675(C2×D11)⋊C4C2×D411yescharacteristic
676(C2×D11)⋊C4C2×D411yescharacteristic
677(C2×D11)⋊C4C2×D411yescharacteristic
678C4⋊Dic11—21no—
679C4⋊Dic11—21no—
680C4⋊Dic11—21no—
681C4⋊Dic11—21no—
682C4⋊Dic11C2×D411yescharacteristic
683C4⋊Dic11C2×D411yescharacteristic
684C4⋊Dic11C2411yescharacteristic
685C4⋊Dic11C2411yescharacteristic
686C4⋊Dic11C2411yescharacteristic
687C4⋊Dic11C2411yescharacteristic
688Dic11⋊C4—21no—
689Dic11⋊C4—21no—
690Dic11⋊C4—21no—
691Dic11⋊C4—21no—
692Dic11⋊C4—21no—
693Dic11⋊C4—21no—
694Dic11⋊C4—21no—
695Dic11⋊C4—21no—
696Dic11⋊C4—21no—
697Dic11⋊C4—21no—
698Dic11⋊C4—21no—
699Dic11⋊C4—21no—
700Dic11⋊C4—21no—
701Dic11⋊C4—21no—
702Dic11⋊C4—21no—
703Dic11⋊C4—21no—
704Dic11⋊C4—21no—
705Dic11⋊C4—21no—
706Dic11⋊C4—21no—
707Dic11⋊C4—21no—
708Dic11⋊C4—21no—
709Dic11⋊C4—21no—
710Dic11⋊C4C2×D411yescharacteristic
711Dic11⋊C4C2×D411yescharacteristic
712Dic11⋊C4C2×D411yescharacteristic
713Dic11⋊C4C2×D411yescharacteristic
714C4×Dic11—21no—
715C4×Dic11—21no—
716C4×Dic11—21no—
717C4×Dic11—21no—
718C4×Dic11—21no—
719C4×Dic11—21no—
720C4×Dic11C2411yescharacteristic
721C4×Dic11C2411yescharacteristic
722#4318—41no—
723C2×C11⋊C8—41no—
724C2×C11⋊C8C2411yescharacteristic
725C2×C11⋊C8C2411yescharacteristic
726C2×C11⋊C8C2411yescharacteristic
727C2×C11⋊C8C2411yescharacteristic
728Dic44—41no—
729Dic44—41no—
730Dic44—41no—
731Dic44—41no—
732#4313—41no—
733#4313—41no—
734C8×D11—41no—
735C8×D11—41no—
736#3541—111no—
737#3485—111no—
738#3331—111no—
739#3322—111no—
740#3315—111no—
741#3314—111no—
742#3311—111no—
743#3307—111no—
744#3302—111no—
745#3296—111no—
746#3283—111no—
747#3282—111no—
748#3276—111no—
749#3275—111no—
750#3269—111no—
751#3269—111no—
752#3267—111no—
753#3266—111no—
754#3225—111no—
755#3223—111no—
756#3202—111no—
757#3201—111no—
758#3197—111no—
759#3190—111no—
760#3123—111no—
761#3118—111no—
762#3012D1111yescharacteristic, complemented
763#3009—111no—
764#3007—111no—
765#3002—111no—
766#2976—111no—
767C23×C11—24no—
768C23×C11—21no—
769C23×C11—21no—
770C23×C11—21no—
771C23×C11—21no—
772C23×C11—42no—
773C23×C11—42no—
774C23×C11—81no—
775C23×C11—81no—
776C23×C11—81no—
777C23×C11—81no—
778C23×C11—81no—
779C23×C11—81no—
780C23×C11C22×D411yescharacteristic
781C23×C11C22×D411yescharacteristic
782C23×C11C22×D411yescharacteristic
783C22×D11—41no—
784C22×D11—41no—
785C22×D11—41no—
786C22×D11C22×D411yescharacteristic
787C22×D11C22×D411yescharacteristic
788Q8×C11—21no—
789Q8×C11—21no—
790Q8×C11—21no—
791Q8×C11—21no—
792Q8×C11—41no—
793D4×C11—24no—
794D4×C11—21no—
795D4×C11—21no—
796D4×C11—21no—
797D4×C11—21no—
798D4×C11—21no—
799D4×C11—21no—
800D4×C11—41no—
801D4×C11—41no—
802D4×C11—41no—
803D4×C11—42no—
804D4×C11—42no—
805D4×C11—42no—
806D4×C11—42no—
807D4×C11—42no—
808D4×C11—81no—
809D4×C11—81no—
810D4×C11—81no—
811D4×C11H(5,𝔽2)12yes—
812D4×C11H(5,𝔽2)12yes—
813C2×C4×C11—21no—
814C2×C4×C11—21no—
815C2×C4×C11—21no—
816C2×C4×C11—21no—
817C2×C4×C11—21no—
818C2×C4×C11—21no—
819C2×C4×C11—21no—
820C2×C4×C11—21no—
821C2×C4×C11—21no—
822C2×C4×C11—21no—
823C2×C4×C11—42no—
824C2×C4×C11—42no—
825C2×C4×C11—42no—
826C2×C4×C11—81no—
827C2×C4×C11—81no—
828C2×C4×C11C22×D411yescharacteristic
829C2×C4×C11C22×D411yescharacteristic
830C2×C4×C11C22×D411yescharacteristic
831C2×C4×C11C2511yescharacteristic
832C22⋊D11—41no—
833C22⋊D11—41no—
834C22⋊D11—41no—
835C22⋊D11—41no—
836C22⋊D11—42no—
837C22⋊D11—42no—
838C22⋊D11—42no—
839C22⋊D11—42no—
840C22⋊D11—42no—
841C22⋊D11—81no—
842C22⋊D11—81no—
843C22⋊D11—81no—
844C2×Dic11—21no—
845C2×Dic11—21no—
846C2×Dic11—21no—
847C2×Dic11—21no—
848C2×Dic11—21no—
849C2×Dic11—21no—
850C2×Dic11—21no—
851C2×Dic11—21no—
852C2×Dic11—41no—
853C2×Dic11—42no—
854C2×Dic11—42no—
855C2×Dic11—42no—
856C2×Dic11—42no—
857C2×Dic11—42no—
858C2×Dic11—81no—
859C2×Dic11—81no—
860C2×Dic11—81no—
861C2×Dic11—81no—
862C2×Dic11—81no—
863C2×Dic11—81no—
864C2×Dic11—81no—
865C2×Dic11C22×D411yescharacteristic
866C2×Dic11C22×D411yescharacteristic
867C2×Dic11C22×D411yescharacteristic
868C2×Dic11C22×D411yescharacteristic
869C2×Dic11C22×D411yescharacteristic
870C2×Dic11C22×D411yescharacteristic
871C4×D11—21no—
872C4×D11—21no—
873C4×D11—21no—
874C4×D11—21no—
875C4×D11—41no—
876C4×D11—41no—
877C4×D11—81no—
878C4×D11—81no—
879Dic22—21no—
880Dic22—21no—
881Dic22—21no—
882Dic22—21no—
883Dic22—21no—
884Dic22—21no—
885Dic22—21no—
886Dic22—21no—
887Dic22—42no—
888Dic22—81no—
889Dic22—81no—
890Dic22—81no—
891C8×C11—21no—
892C8×C11—21no—
893C8×C11—21no—
894C8×C11—21no—
895C11⋊C8—21no—
896C11⋊C8—21no—
897C11⋊C8—21no—
898C11⋊C8—21no—
899C2×H(5,𝔽2)C2×D1111yescharacteristic
900C22×#41—111no—
901C2×#137—111no—
902C2×#137—111no—
903C2×#137—111no—
904C2×AGL(1,ℤ/8)C2×D1111yescharacteristic, complemented
905C2×#135—111no—
906C2×#135—111no—
907C2×#135C2×D1111yescharacteristic, complemented
908C22×SD16—111no—
909#563—221no—
910#562—221no—
911#556—111no—
912#554—111no—
913#554—221no—
914#553—111no—
915#553—221no—
916#552—111no—
917D4×Q8—111no—
918#548—111no—
919#548—111no—
920#547—111no—
921#547—111no—
922#547—111no—
923#547—111no—
924#547—111no—
925#547—221no—
926#547—221no—
927#546—111no—
928#546—111no—
929#546—111no—
930#546—111no—
931#546—221no—
932#546—221no—
933#542—111no—
934#542—221no—
935#541—111no—
936#539—221no—
937#538—221no—
938#538—221no—
939#537C2×D1111yescharacteristic
940#536—111no—
941#536—111no—
942#536—111no—
943#534—221no—
944#534—221no—
945#525—111no—
946#525—111no—
947#525—111no—
948C2×#123—221no—
949C2×#123—221no—
950C2×C22⋊Q8—111no—
951#518—111no—
952#497—111no—
953#497—111no—
954#495—111no—
955#494—111no—
956#491—111no—
957#489—111no—
958#488—111no—
959#487—111no—
960#485—111no—
961#485—111no—
962#485—111no—
963#485—111no—
964#485—111no—
965#485—111no—
966#484—111no—
967#483—111no—
968#483—111no—
969#482—111no—
970#482—111no—
971#480—111no—
972#478—111no—
973#478—111no—
974#476—111no—
975#474—111no—
976#470—111no—
977#470—111no—
978#470—111no—
979#470—111no—
980#469—111no—
981#468—111no—
982#468—111no—
983#468—111no—
984#467—111no—
985#467—111no—
986#467—111no—
987#467—111no—
988#467—111no—
989#465—111no—
990#465—111no—
991#465—111no—
992#464—111no—
993#464—111no—
994#464—111no—
995#463—111no—
996#463—111no—
997#463—111no—
998#462—111no—
999#462—111no—
1000#462—111no—
1001#461—111no—
1002#461—111no—
1003#461—111no—
1004#452—111no—
1005#452—111no—
1006#452—111no—
1007#452—111no—
1008#452—111no—
1009#452—111no—
1010#452—111no—
1011#452—111no—
1012#452—111no—
1013#452—111no—
1014#452—111no—
1015#452—111no—
1016#452—111no—
1017#452C2×D1111yescharacteristic
1018#452C2×D1111yescharacteristic, complemented
1019#451—111no—
1020#451—111no—
1021#451—111no—
1022#451—111no—
1023#451—111no—
1024#451—111no—
1025#450—111no—
1026#450—111no—
1027#450—111no—
1028#450—111no—
1029#450C2×D1111yescharacteristic
1030#450C2×D1111yescharacteristic, complemented
1031#449—111no—
1032#449—111no—
1033#449—111no—
1034#449C2×D1111yescharacteristic
1035#449C2×D1111yescharacteristic, complemented
1036#448—111no—
1037#448—111no—
1038#447C2×D1111yescharacteristic
1039#447C2×D1111yescharacteristic, complemented
1040#442—111no—
1041#440—111no—
1042#440—111no—
1043#440—111no—
1044C4×SD16—111no—
1045C4×SD16—111no—
1046C4×SD16—111no—
1047C4×D8—111no—
1048#436—111no—
1049#436—111no—
1050#435—111no—
1051#435—111no—
1052#435—111no—
1053#435—111no—
1054C8×D4—111no—
1055C8×D4—111no—
1056#433—111no—
1057#433—111no—
1058#418—111no—
1059#417—111no—
1060#417—111no—
1061#417C2×D1111yescharacteristic, complemented
1062#416—111no—
1063#416—111no—
1064#416—111no—
1065C2×#102C2×D1111yescharacteristic, complemented
1066#408—111no—
1067#408C2×D1111yescharacteristic
1068#407—111no—
1069C2×C22⋊C8—111no—
1070C22×C11—21no—
1071C22×C11—21no—
1072C22×C11—21no—
1073C22×C11—21no—
1074C22×C11—21no—
1075C22×C11—21no—
1076C22×C11—21no—
1077C22×C11—21no—
1078C22×C11—21no—
1079C22×C11—22no—
1080C22×C11—22no—
1081C22×C11—41no—
1082C22×C11—41no—
1083C22×C11—41no—
1084C22×C11—41no—
1085C22×C11—41no—
1086C22×C11—41no—
1087C22×C11—41no—
1088C22×C11—41no—
1089C22×C11—41no—
1090C22×C11—41no—
1091C22×C11—84no—
1092C22×C11—162no—
1093C22×C11—162no—
1094C22×C11C23×D411yescharacteristic
1095C2×D11—21no—
1096C2×D11—21no—
1097C2×D11—21no—
1098C2×D11—21no—
1099C2×D11—21no—
1100C2×D11—21no—
1101C2×D11—82no—
1102C4×C11—21no—
1103C4×C11—21no—
1104C4×C11—21no—
1105C4×C11—41no—
1106C4×C11—41no—
1107C4×C11—41no—
1108C4×C11—41no—
1109C4×C11C2×H(5,𝔽2)11yescharacteristic
1110C4×C11C2×H(5,𝔽2)11yescharacteristic
1111Dic11—21no—
1112Dic11—21no—
1113Dic11—21no—
1114Dic11—21no—
1115Dic11—21no—
1116Dic11—21no—
1117Dic11—41no—
1118Dic11—41no—
1119Dic11—41no—
1120Dic11—41no—
1121Dic11—41no—
1122Dic11—41no—
1123Dic11—41no—
1124Dic11—41no—
1125H(5,𝔽2)—42no—
1126H(5,𝔽2)—42no—
1127C2×#41—21no—
1128C2×#41—111no—
1129C2×#41—111no—
1130C2×#41—111no—
1131C2×#41—111no—
1132C2×#41—111no—
1133C2×#41—221no—
1134C2×#41—221no—
1135C2×#41—442no—
1136C2×#41—442no—
1137C2×#41C22×D1111yescharacteristic
1138C2×#41C22×D1111yescharacteristic
1139C2×#41C22×D1111yescharacteristic
1140C2×#41C22×D1111yescharacteristic
1141C2×#41C22×D1111yescharacteristic
1142C22×Q8—111no—
1143C22×Q8—111no—
1144C22×Q8—111no—
1145C22×D4—21no—
1146C22×D4—21no—
1147C22×D4—21no—
1148C22×D4—221no—
1149C22×D4C22×D1111yescharacteristic
1150C22×D4C22×D1111yescharacteristic
1151C22×D4C22×D1111yescharacteristic
1152C23×C4—111no—
1153C23×C4—221no—
1154#137—442no—
1155#137—442no—
1156#137—442no—
1157AGL(1,ℤ/8)—42no—
1158#135—42no—
1159#135—442no—
1160#135—442no—
1161C2×Q16—111no—
1162C2×Q16—111no—
1163C2×Q16—111no—
1164C2×Q16—111no—
1165C2×Q16—111no—
1166C2×Q16—111no—
1167C2×Q16—111no—
1168C2×Q16—111no—
1169C2×Q16C22×D1111yescharacteristic
1170C2×SD16—111no—
1171C2×SD16—111no—
1172C2×SD16—111no—
1173C2×SD16—111no—
1174C2×SD16—111no—
1175C2×SD16—111no—
1176C2×SD16—111no—
1177C2×SD16—111no—
1178C2×SD16—442no—
1179C2×SD16C22×D1111yescharacteristic
1180C2×SD16C22×D1111yescharacteristic
1181C2×SD16C22×D1111yescharacteristic
1182C2×SD16C22×D1111yescharacteristic
1183C2×D8C22×D1111yescharacteristic
1184C2×D8C22×D1111yescharacteristic
1185C2×D8C22×D1111yescharacteristic
1186C2×M16—111no—
1187C2×M16—111no—
1188C2×M16—111no—
1189C2×M16C22×D1111yescharacteristic
1190C22×C8—111no—
1191C22×C8—111no—
1192C22×C8—111no—
1193C22×C8C22×D1111yescharacteristic
1194C4⋊Q8—111no—
1195C4⋊Q8—111no—
1196C4⋊Q8—111no—
1197C4⋊Q8—111no—
1198C4⋊Q8—221no—
1199C4⋊Q8—221no—
1200C4⋊Q8—221no—
1201#126—221no—
1202#126—221no—
1203#126—221no—
1204#126—221no—
1205#126—221no—
1206#126—221no—
1207#126—221no—
1208#125—111no—
1209#125—221no—
1210#125—221no—
1211#125—221no—
1212#125—221no—
1213#124—111no—
1214#124—111no—
1215#124—111no—
1216#124—221no—
1217#124—221no—
1218#124—221no—
1219#124—221no—
1220#124—221no—
1221#124—221no—
1222#123—111no—
1223#123—111no—
1224#123—221no—
1225#123—221no—
1226#123—221no—
1227#123—221no—
1228#123—221no—
1229#123—221no—
1230#123—221no—
1231#123—221no—
1232#123—221no—
1233#123—221no—
1234#123—221no—
1235#123—221no—
1236#123—221no—
1237#123—221no—
1238#123—221no—
1239#123—221no—
1240#123—221no—
1241#123—221no—
1242#123—221no—
1243#123—221no—
1244#123—221no—
1245#123—221no—
1246#123—221no—
1247#123—221no—
1248#123—221no—
1249C22⋊Q8—21no—
1250C22⋊Q8—111no—
1251C22⋊Q8—111no—
1252C22⋊Q8—111no—
1253C22⋊Q8—111no—
1254C22⋊Q8—111no—
1255C22⋊Q8—111no—
1256C22⋊Q8—111no—
1257C22⋊Q8—111no—
1258C22⋊Q8—111no—
1259C22⋊Q8—111no—
1260C22⋊Q8—111no—
1261C22⋊Q8—111no—
1262C22⋊Q8—111no—
1263C22⋊Q8—111no—
1264C22⋊Q8—111no—
1265C22⋊Q8—221no—
1266C22⋊Q8—221no—
1267C22⋊Q8—221no—
1268C22⋊Q8—221no—
1269C22⋊Q8—221no—
1270C22⋊Q8—221no—
1271C22⋊Q8—221no—
1272C22⋊Q8—221no—
1273C22⋊Q8—221no—
1274C22⋊Q8—221no—
1275C22⋊Q8—221no—
1276C22⋊Q8C22×D1111yescharacteristic
1277C22⋊Q8C22×D1111yescharacteristic
1278#121—21no—
1279#121—21no—
1280#121—21no—
1281#121—111no—
1282#121—111no—
1283#121—111no—
1284#121—111no—
1285#121—111no—
1286#121—221no—
1287#121—221no—
1288#121—221no—
1289#121—221no—
1290#121—221no—
1291#121—221no—
1292#121—221no—
1293#121—221no—
1294#121—221no—
1295#121—221no—
1296#121—221no—
1297#121—221no—
1298#121C22×D1111yescharacteristic
1299#121C22×D1111yescharacteristic
1300#120—111no—
1301#120—111no—
1302#120—221no—
1303#120—221no—
1304#120—221no—
1305#120—221no—
1306#120—221no—
1307#120—221no—
1308C4×Q8—111no—
1309C4×Q8—111no—
1310C4×Q8—111no—
1311C4×Q8—221no—
1312C4×D4—111no—
1313C4×D4—111no—
1314C4×D4—111no—
1315C4×D4—111no—
1316C4×D4—111no—
1317C4×D4—111no—
1318C4×D4—111no—
1319C4×D4—111no—
1320C4×D4—111no—
1321C4×D4—221no—
1322C4×D4—221no—
1323C4×D4—221no—
1324C4×D4—221no—
1325C4×D4—221no—
1326C4×D4—221no—
1327C4×D4—221no—
1328C4×D4—221no—
1329C4×D4—221no—
1330C4×D4—221no—
1331C4×D4—221no—
1332#117—111no—
1333#117—111no—
1334#117—111no—
1335#117—111no—
1336#117—221no—
1337C2×C4⋊C4—111no—
1338C2×C4⋊C4—221no—
1339C2×C4⋊C4—221no—
1340C2×C4⋊C4—221no—
1341C2×C4⋊C4—221no—
1342C2×C4⋊C4—221no—
1343C2×C4⋊C4—221no—
1344C2×C4⋊C4C22×D1111yescharacteristic
1345C2×C22⋊C4—221no—
1346C2×C22⋊C4—221no—
1347C2×C22⋊C4—221no—
1348C2×C22⋊C4—221no—
1349C2×C22⋊C4—221no—
1350C2×C22⋊C4—221no—
1351C2×C22⋊C4—221no—
1352#107—111no—
1353#107—111no—
1354#107—111no—
1355#107—111no—
1356#106—111no—
1357#106—111no—
1358#106—111no—
1359#106—111no—
1360C4⋊C8—111no—
1361C4⋊C8—111no—
1362C4⋊C8—111no—
1363C4⋊C8—111no—
1364#103—111no—
1365#103—111no—
1366#103—111no—
1367#103—111no—
1368#103—111no—
1369#103—111no—
1370#103—111no—
1371#103—111no—
1372#103—111no—
1373#103—111no—
1374#103—111no—
1375#103—111no—
1376#103—111no—
1377#103—111no—
1378#103—111no—
1379#103—111no—
1380#103C22×D1111yescharacteristic
1381#103C22×D1111yescharacteristic
1382#102—111no—
1383#102—111no—
1384#102—111no—
1385#102—111no—
1386#102—111no—
1387#102—111no—
1388#102—111no—
1389#102—111no—
1390#102C22×D1111yescharacteristic
1391#102C22×D1111yescharacteristic
1392#102C22×D1111yescharacteristic
1393#102C22×D1111yescharacteristic
1394#102C22×D1111yescharacteristic
1395#102C22×D1111yescharacteristic
1396C22⋊C8—111no—
1397C22⋊C8—111no—
1398C22⋊C8—111no—
1399C22⋊C8—111no—
1400C22⋊C8—111no—
1401C22⋊C8—111no—
1402C22⋊C8—111no—
1403C22⋊C8—111no—
1404C22⋊C8C22×D1111yescharacteristic
1405C22⋊C8C22×D1111yescharacteristic
1406C22⋊C8C22×D1111yescharacteristic
1407C22⋊C8C22×D1111yescharacteristic
1408#97—111no—
1409#97—111no—
1410C4×C8—111no—
1411C4×C8—111no—
1412C2×C11—41no—
1413C2×C11—41no—
1414C2×C11—41no—
1415C2×C11—42no—
1416C2×C11—42no—
1417C2×C11—81no—
1418C2×C11—81no—
1419C2×C11#348411yescharacteristic
1420C2×C11#358411yescharacteristic
1421C2×C11#358611yescharacteristic
1422D11—41no—
1423D11—41no—
1424C24—21no—
1425C24—21no—
1426C24—21no—
1427C24—111no—
1428#41—22no—
1429#41—22no—
1430#41—41no—
1431#41—41no—
1432#41—41no—
1433#41—41no—
1434#41—41no—
1435#41—41no—
1436#41—41no—
1437#41—41no—
1438#41—44no—
1439#41—222no—
1440#41—222no—
1441#41—222no—
1442#41—222no—
1443#41—441no—
1444#41—441no—
1445#41—441no—
1446#41—441no—
1447#41—441no—
1448#41—441no—
1449#41—444no—
1450#41—444no—
1451C2×Q8—111no—
1452C2×Q8—111no—
1453C2×Q8—111no—
1454C2×Q8—111no—
1455C2×Q8—221no—
1456C2×Q8—221no—
1457C2×Q8—221no—
1458C2×Q8—221no—
1459C2×Q8—441no—
1460C2×Q8—441no—
1461C2×Q8—441no—
1462C2×Q8—441no—
1463C2×Q8—441no—
1464C2×Q8—441no—
1465C2×Q8D4×D1111yescharacteristic
1466C2×Q8C23×D1111yescharacteristic
1467C2×Q8C23×D1111yescharacteristic
1468C2×D4—22no—
1469C2×D4—22no—
1470C2×D4—22no—
1471C2×D4—22no—
1472C2×D4—21no—
1473C2×D4—21no—
1474C2×D4—21no—
1475C2×D4—21no—
1476C2×D4—21no—
1477C2×D4—21no—
1478C2×D4—21no—
1479C2×D4—21no—
1480C2×D4—21no—
1481C2×D4—41no—
1482C2×D4—41no—
1483C2×D4—44no—
1484C2×D4—44no—
1485C2×D4—44no—
1486C2×D4—111no—
1487C2×D4—111no—
1488C2×D4—111no—
1489C2×D4—111no—
1490C2×D4—221no—
1491C2×D4—221no—
1492C2×D4—221no—
1493C2×D4—221no—
1494C2×D4—221no—
1495C2×D4—221no—
1496C2×D4—221no—
1497C2×D4—221no—
1498C2×D4—444no—
1499C2×D4D4×D1111yescharacteristic
1500C2×D4D4×D1111yescharacteristic
1501C2×D4D4×D1111yescharacteristic
1502C2×D4C23×D1111yescharacteristic
1503C2×D4C23×D1111yescharacteristic
1504C2×D4C23×D1111yescharacteristic
1505C2×D4C23×D1111yescharacteristic
1506C22×C4—21no—
1507C22×C4—21no—
1508C22×C4—21no—
1509C22×C4—21no—
1510C22×C4—21no—
1511C22×C4—111no—
1512C22×C4—111no—
1513C22×C4—111no—
1514C22×C4—111no—
1515C22×C4—111no—
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—221no—
1526C22×C4—221no—
1527C22×C4—221no—
1528C22×C4—221no—
1529C22×C4—221no—
1530C22×C4—441no—
1531C22×C4—441no—
1532C22×C4—444no—
1533C22×C4C23×D1111yescharacteristic
1534C22×C4C23×D1111yescharacteristic
1535C22×C4C23×D1111yescharacteristic
1536Q16—41no—
1537Q16—441no—
1538Q16—441no—
1539Q16—441no—
1540Q16—441no—
1541Q16—441no—
1542Q16—441no—
1543Q16—441no—
1544Q16—441no—
1545SD16—22no—
1546SD16—22no—
1547SD16—41no—
1548SD16—41no—
1549SD16—222no—
1550SD16—222no—
1551SD16—222no—
1552SD16—222no—
1553SD16—441no—
1554SD16—441no—
1555SD16—441no—
1556SD16—441no—
1557D8—22no—
1558D8—22no—
1559D8—41no—
1560M16—41no—
1561M16—441no—
1562M16—441no—
1563M16—441no—
1564C2×C8—41no—
1565C2×C8—111no—
1566C2×C8—111no—
1567C2×C8—111no—
1568C2×C8—111no—
1569C2×C8—441no—
1570C2×C8—441no—
1571C2×C8—441no—
1572C2×C8C23×D1111yescharacteristic
1573C2×C8C23×D1111yescharacteristic
1574C2×C8C23×D1111yescharacteristic
1575C2×C8C23×D1111yescharacteristic
1576C4⋊C4—21no—
1577C4⋊C4—21no—
1578C4⋊C4—21no—
1579C4⋊C4—111no—
1580C4⋊C4—111no—
1581C4⋊C4—111no—
1582C4⋊C4—111no—
1583C4⋊C4—111no—
1584C4⋊C4—111no—
1585C4⋊C4—111no—
1586C4⋊C4—111no—
1587C4⋊C4—111no—
1588C4⋊C4—111no—
1589C4⋊C4—221no—
1590C4⋊C4—221no—
1591C4⋊C4—221no—
1592C4⋊C4—221no—
1593C4⋊C4—221no—
1594C4⋊C4—221no—
1595C4⋊C4—221no—
1596C4⋊C4—221no—
1597C4⋊C4—221no—
1598C4⋊C4—221no—
1599C4⋊C4—221no—
1600C4⋊C4—221no—
1601C4⋊C4—221no—
1602C4⋊C4—221no—
1603C4⋊C4—221no—
1604C4⋊C4—221no—
1605C4⋊C4—221no—
1606C4⋊C4—221no—
1607C4⋊C4—221no—
1608C4⋊C4—221no—
1609C4⋊C4—221no—
1610C4⋊C4—221no—
1611C4⋊C4—221no—
1612C4⋊C4—221no—
1613C4⋊C4—221no—
1614C4⋊C4—221no—
1615C4⋊C4C23×D1111yescharacteristic
1616C4⋊C4C23×D1111yescharacteristic
1617C22⋊C4—21no—
1618C22⋊C4—21no—
1619C22⋊C4—21no—
1620C22⋊C4—21no—
1621C22⋊C4—111no—
1622C22⋊C4—111no—
1623C22⋊C4—111no—
1624C22⋊C4—111no—
1625C22⋊C4—111no—
1626C22⋊C4—111no—
1627C22⋊C4—111no—
1628C22⋊C4—111no—
1629C22⋊C4—111no—
1630C22⋊C4—111no—
1631C22⋊C4—221no—
1632C22⋊C4—221no—
1633C22⋊C4—221no—
1634C22⋊C4—221no—
1635C22⋊C4—221no—
1636C22⋊C4—221no—
1637C22⋊C4—221no—
1638C22⋊C4—221no—
1639C22⋊C4—221no—
1640C22⋊C4—221no—
1641C22⋊C4—221no—
1642C22⋊C4—221no—
1643C22⋊C4—221no—
1644C22⋊C4—221no—
1645C22⋊C4—221no—
1646C22⋊C4—221no—
1647C22⋊C4—221no—
1648C22⋊C4—221no—
1649C22⋊C4—221no—
1650C22⋊C4—221no—
1651C22⋊C4—221no—
1652C22⋊C4—221no—
1653C22⋊C4—221no—
1654C22⋊C4—221no—
1655C22⋊C4—221no—
1656C22⋊C4—221no—
1657C22⋊C4—221no—
1658C22⋊C4—221no—
1659C22⋊C4—221no—
1660C22⋊C4—221no—
1661C42—111no—
1662C42—111no—
1663C42—221no—
1664C42—221no—
1665C42—221no—
1666C42—221no—
1667C42—221no—
1668C42—221no—
1669C11#6161311yescharacteristic, complemented, Sylow
1670C23—24no—
1671C23—21no—
1672C23—21no—
1673C23—21no—
1674C23—21no—
1675C23—42no—
1676C23—42no—
1677C23—81no—
1678C23—81no—
1679C23—81no—
1680C23—81no—
1681C23—81no—
1682C23—81no—
1683C23—111no—
1684C23—111no—
1685C23—441no—
1686C23—441no—
1687C23—441no—
1688C23C2×D4×D1111yescharacteristic
1689C23C2×D4×D1111yescharacteristic
1690C23C2×D4×D1111yescharacteristic
1691Q8—21no—
1692Q8—21no—
1693Q8—21no—
1694Q8—21no—
1695Q8—41no—
1696Q8—221no—
1697Q8—221no—
1698Q8—221no—
1699Q8—221no—
1700Q8—221no—
1701Q8—221no—
1702Q8—221no—
1703Q8—221no—
1704Q8—442no—
1705Q8—881no—
1706Q8—881no—
1707Q8—881no—
1708D4—24no—
1709D4—21no—
1710D4—21no—
1711D4—21no—
1712D4—21no—
1713D4—21no—
1714D4—21no—
1715D4—41no—
1716D4—41no—
1717D4—41no—
1718D4—42no—
1719D4—42no—
1720D4—42no—
1721D4—42no—
1722D4—42no—
1723D4—81no—
1724D4—81no—
1725D4—81no—
1726D4—441no—
1727D4—441no—
1728D4—441no—
1729D4—441no—
1730D4—442no—
1731D4—442no—
1732D4—442no—
1733D4—442no—
1734D4—442no—
1735D4—881no—
1736D4—881no—
1737D4—881no—
1738D4#6703712yes—
1739D4#6703712yes—
1740C2×C4—21no—
1741C2×C4—21no—
1742C2×C4—21no—
1743C2×C4—21no—
1744C2×C4—21no—
1745C2×C4—21no—
1746C2×C4—21no—
1747C2×C4—21no—
1748C2×C4—21no—
1749C2×C4—21no—
1750C2×C4—42no—
1751C2×C4—42no—
1752C2×C4—42no—
1753C2×C4—81no—
1754C2×C4—81no—
1755C2×C4—111no—
1756C2×C4—111no—
1757C2×C4—111no—
1758C2×C4—111no—
1759C2×C4—111no—
1760C2×C4—111no—
1761C2×C4—221no—
1762C2×C4—221no—
1763C2×C4—221no—
1764C2×C4—221no—
1765C2×C4—221no—
1766C2×C4—221no—
1767C2×C4—221no—
1768C2×C4—221no—
1769C2×C4—221no—
1770C2×C4—221no—
1771C2×C4—221no—
1772C2×C4—221no—
1773C2×C4—441no—
1774C2×C4—441no—
1775C2×C4—441no—
1776C2×C4—442no—
1777C2×C4—442no—
1778C2×C4—442no—
1779C2×C4—442no—
1780C2×C4—442no—
1781C2×C4—881no—
1782C2×C4—881no—
1783C2×C4—881no—
1784C2×C4—881no—
1785C2×C4—881no—
1786C2×C4—881no—
1787C2×C4—881no—
1788C2×C4—881no—
1789C2×C4—881no—
1790C2×C4C2×D4×D1111yescharacteristic
1791C2×C4C2×D4×D1111yescharacteristic
1792C2×C4C2×D4×D1111yescharacteristic
1793C2×C4C24×D1111yescharacteristic
1794C8—21no—
1795C8—21no—
1796C8—21no—
1797C8—21no—
1798C8—221no—
1799C8—221no—
1800C8—221no—
1801C8—221no—
1802C22—21no—
1803C22—21no—
1804C22—21no—
1805C22—21no—
1806C22—21no—
1807C22—21no—
1808C22—22no—
1809C22—22no—
1810C22—21no—
1811C22—21no—
1812C22—21no—
1813C22—41no—
1814C22—41no—
1815C22—41no—
1816C22—41no—
1817C22—41no—
1818C22—41no—
1819C22—41no—
1820C22—41no—
1821C22—41no—
1822C22—41no—
1823C22—84no—
1824C22—162no—
1825C22—162no—
1826C22—221no—
1827C22—221no—
1828C22—221no—
1829C22—221no—
1830C22—221no—
1831C22—221no—
1832C22—882no—
1833C22C22×D4×D1111yescharacteristic
1834C4—21no—
1835C4—21no—
1836C4—21no—
1837C4—41no—
1838C4—41no—
1839C4—41no—
1840C4—41no—
1841C4—221no—
1842C4—221no—
1843C4—221no—
1844C4—221no—
1845C4—221no—
1846C4—221no—
1847C4—441no—
1848C4—441no—
1849C4—441no—
1850C4—441no—
1851C4—441no—
1852C4—441no—
1853C4—441no—
1854C4—441no—
1855C4C2×#6703711yescharacteristic
1856C4C2×#6703711yescharacteristic
1857C2—41no—
1858C2—41no—
1859C2—41no—
1860C2—42no—
1861C2—42no—
1862C2—81no—
1863C2—81no—
1864C2—441no—
1865C2—441no—
1866C2#1308224511yescharacteristic
1867C2#1308338411yescharacteristic
1868C2#1308339811yescharacteristic
subgroupG/H
centerC22C22×D4×D11
commutator, cosocleC2×C4×C11C25
FrattiniC2×C4C24×D11
FittingC11×#3012C2
socleC22×C11C23×D4
hypercenter#3012D11
hypocenterC11#61613
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C22 ◁ C2×#41 ◁ #3012

Complements

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

NH ≅ G/Ntype
1. #13082897C2semidirect
2. #13082256C2semidirect
3. #13080928C2semidirect
4. #13080821C2semidirect
5. #13080713C2semidirect
6. #13080693C2semidirect
7. #13080645C2semidirect
8. #13080596C2semidirect
9. #13080526C2semidirect
10. #13080447C2semidirect
11. #13080332C2semidirect
12. #13080327C2semidirect
13. #13080260C2semidirect
14. #13080247C2semidirect
15. #13080171C2semidirect
16. #13080169C2semidirect
17. #13080135C2semidirect
18. #13080130C2semidirect
19. #13079721C2semidirect
20. #13079697C2semidirect
21. #13079511C2semidirect
22. #13079492C2semidirect
23. #13079455C2semidirect
24. #13079395C2semidirect
25. #13078862C2semidirect
26. #13078793C2semidirect
27. #13077893C2semidirect
28. #13077871C2semidirect
29. #13077829C2semidirect
30. #13077659C2semidirect
31. C11×#3012C2semidirect
34. C2×C11×AGL(1,ℤ/8)C22semidirect
35. C2×C11×#135C22semidirect
37. #10623362C22semidirect
49. #10623355C22semidirect
50. C2×#67004C22semidirect
62. C22×#4324C22semidirect
63. C2×#66968C22semidirect
64. C2×#66968C22semidirect
65. C2×#66965C22semidirect
66. C2×#66965C22semidirect
68. #10623172C22semidirect
70. #10623163C22semidirect
71. D11×C22⋊Q8C22semidirect
72. #10623156C22semidirect
75. #10623145C22semidirect
78. #10623137C22semidirect
80. #10623134C22semidirect
82. #10623129C22semidirect
83. #10623044C22semidirect
84. #10623042C22semidirect
86. C11×#452C22semidirect
88. C11×#450C22semidirect
90. C11×#449C22semidirect
92. C11×#447C22semidirect
93. C11×#417C22semidirect
94. C2×C11×#102C22semidirect
98. #10622852C22semidirect
99. #10622852C22semidirect
100. #10622852C22semidirect
101. #10622852C22semidirect
103. #10622846C22semidirect
106. #10622831C22semidirect
107. #10622831C22semidirect
108. #10622828C22semidirect
109. #10622801C22semidirect
110. #10622799C22semidirect
111. #10622795C22semidirect
112. #10622794C22semidirect
113. #10622787C22semidirect
114. #10622786C22semidirect
115. #10622786C22semidirect
116. #10622786C22semidirect
117. #10622784C22semidirect
118. #10622783C22semidirect
119. #10622780C22semidirect
120. #10622780C22semidirect
121. #10622779C22semidirect
122. #10622777C22semidirect
123. #10622775C22semidirect
124. #10622775C22semidirect
125. #10622775C22semidirect
126. SD16×Dic11C22semidirect
127. #10622772C22semidirect
128. #10622771C22semidirect
129. #10622771C22semidirect
130. #10622771C22semidirect
131. #10622768C22semidirect
132. #10622766C22semidirect
133. #10622766C22semidirect
134. #10622766C22semidirect
135. #10622765C22semidirect
136. D8×Dic11C22semidirect
137. #10622750C22semidirect
138. #10622750C22semidirect
139. #10622741C22semidirect
140. #10622740C22semidirect
141. #10622729C22semidirect
142. #10622729C22semidirect
143. #10622724C22semidirect
144. C8×C22⋊D11C22semidirect
145. #10622665C22semidirect
146. #10622664C22semidirect
147. #10622663C22semidirect
148. #10622658C22semidirect
149. #10622655C22semidirect
150. #10622654C22semidirect
151. #10622653C22semidirect
152. #10622648C22semidirect
153. #10622584C22semidirect
154. #10622583C22semidirect
155. #10622429C22semidirect
156. #10622428C22semidirect
157. #10622426C22semidirect
158. #10622418C22semidirect
159. #10622410C22semidirect
160. #10622406C22semidirect
161. #10622406C22semidirect
162. #10622405C22semidirect
163. #10622397C22semidirect
164. #10622396C22semidirect
165. #10622396C22semidirect
166. #10622396C22semidirect
167. #10622396C22semidirect
168. #10622393C22semidirect
169. #10622391C22semidirect
170. #10622387C22semidirect
171. #10622385C22semidirect
172. #10622385C22semidirect
173. #10622384C22semidirect
174. #10622384C22semidirect
175. #10622381C22semidirect
176. #10622380C22semidirect
177. #10622380C22semidirect
178. #10622379C22semidirect
179. #10622378C22semidirect
180. #10622376C22semidirect
181. #10622374C22semidirect
182. #10622372C22semidirect
183. #10622371C22semidirect
184. #10622371C22semidirect
185. #10622370C22semidirect
186. #10622370C22semidirect
187. #10622352C22semidirect
188. #10622352C22semidirect
189. #10622352C22semidirect
190. #10622352C22semidirect
191. #10622343C22semidirect
192. #10622342C22semidirect
193. #10622341C22semidirect
194. #10622339C22semidirect
195. (C22⋊D11)⋊C8C22semidirect
196. D11×C22⋊C8C22semidirect
197. #10622336C22semidirect
198. #10622336C22semidirect
199. #10622336C22semidirect
200. #10622336C22semidirect
201. #10622333C22semidirect
202. #10622333C22semidirect
762. #3012D11semidirect
904. C2×AGL(1,ℤ/8)C2×D11semidirect
907. C2×#135C2×D11semidirect
1018. #452C2×D11semidirect
1030. #450C2×D11semidirect
1035. #449C2×D11semidirect
1039. #447C2×D11semidirect
1061. #417C2×D11semidirect
1065. C2×#102C2×D11semidirect
1669. C11#61613semidirect

Maximal subgroups

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

subgroupindex
#130828972
#130822562
#130809282
#130808212
#130807132
#130806932
#130806452
#130805962
#130805262
#130804472
#130803322
#130803272
#130802602
#130802472
#130801712
#130801692
#130801352
#130801302
#130797212
#130796972
#130795112
#130794922
#130794552
#130793952
#130788622
#130787932
#130778932
#130778712
#130778292
#130776592
C11×#30122
#6161311