Finite Group Databasebeta

← #15639431

Subgroups — #15639431

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#13082907C211yesmaximal, characteristic, complemented
2#13082253C211yesmaximal, characteristic, complemented
3#13080934C211yesmaximal, characteristic, complemented
4#13080821C211yesmaximal, characteristic, complemented
5#13080716C211yesmaximal, characteristic, complemented
6#13080704C211yesmaximal, characteristic, complemented
7#13080652C211yesmaximal, characteristic, complemented
8#13080598C211yesmaximal, characteristic, complemented
9#13080534C211yesmaximal, characteristic, complemented
10#13080446C211yesmaximal, characteristic, complemented
11#13080332C211yesmaximal, characteristic, complemented
12#13080255C211yesmaximal, characteristic, complemented
13#13080246C211yesmaximal, characteristic, complemented
14#13080177C211yesmaximal, characteristic, complemented
15#13080172C211yesmaximal, characteristic, complemented
16#13080134C211yesmaximal, characteristic, complemented
17#13080126C211yesmaximal, characteristic, complemented
18#13079718C211yesmaximal, characteristic, complemented
19#13079696C211yesmaximal, characteristic, complemented
20#13079509C211yesmaximal, characteristic, complemented
21#13079491C211yesmaximal, characteristic, complemented
22#13079455C211yesmaximal, characteristic, complemented
23#13079392C211yesmaximal, characteristic, complemented
24#13078865C211yesmaximal, characteristic, complemented
25#13078797C211yesmaximal, characteristic, complemented
26#13077915C211yesmaximal, characteristic, complemented
27#13077889C211yesmaximal, characteristic, complemented
28#13077873C211yesmaximal, characteristic, complemented
29#13077830C211yesmaximal, characteristic, complemented
30#13077658C211yesmaximal, characteristic, complemented
31C11×#3282C211yesmaximal, characteristic, complemented
32C2×#41×D11C2211yescharacteristic
33C2×#67037C2211yescharacteristic
34C2×C11×#135C2211yescharacteristic, complemented
35C22×C11×SD16C2211yescharacteristic, complemented
36C11×#548C2211yescharacteristic, complemented
37C11×#546C2211yescharacteristic
38#10623359C2211yescharacteristic, complemented
39#10623355C2211yescharacteristic
40#10623355C2211yescharacteristic, complemented
41C2×#67003C2211yescharacteristic, complemented
42#10623347C2211yescharacteristic
43Q8×C22⋊D11C2211yescharacteristic, complemented
44C2×#66995C2211yescharacteristic, complemented
45#10623337C2211yescharacteristic
46C2×#66971C2211yescharacteristic, complemented
47C2×#66968C2211yescharacteristic, complemented
48C2×#66965C2211yescharacteristic, complemented
49C2×#66964C2211yescharacteristic, complemented
50#10623213C2211yescharacteristic, complemented
51#10623209—21no—
52#10623208C2211yescharacteristic, complemented
53#10623207C2211yescharacteristic
54#10623206C2211yescharacteristic
55#10623203—21no—
56#10623186—21no—
57D11×#123—21no—
58#10623171—21no—
59#10623170C2211yescharacteristic, complemented
60#10623167—21no—
61#10623162C2211yescharacteristic
62#10623159C2211yescharacteristic
63D11×C22⋊Q8C2211yescharacteristic, complemented
64#10623152—21no—
65#10623145C2211yescharacteristic, complemented
66#10623144—21no—
67#10623143C2211yescharacteristic
68#10623142—21no—
69#10623139C2211yescharacteristic
70#10623137C2211yescharacteristic
71#10623136—21no—
72#10623122—21no—
73#10623120—21no—
74#10623114C2211yescharacteristic, complemented
75#10623110C2211yescharacteristic, complemented
76#10623095—21no—
77#10623089—21no—
78#10623086C2211yescharacteristic
79#10623082C2211yescharacteristic
80#10623078C2211yescharacteristic
81#10623076C2211yescharacteristic
82#10623073C2211yescharacteristic, complemented
83#10623021—21no—
84C2×#66936—21no—
85C11×#495C2211yescharacteristic, complemented
86C11×#465C2211yescharacteristic, complemented
87C11×#465C2211yescharacteristic, complemented
88C11×#464C2211yescharacteristic, complemented
89C11×#463C2211yescharacteristic, complemented
90C11×#452C2211yescharacteristic, complemented
91C11×#451C2211yescharacteristic, complemented
92C11×#449C2211yescharacteristic, complemented
93C11×#447C2211yescharacteristic, complemented
94C4×C11×SD16C2211yescharacteristic, complemented
95C8×D4×C11C2211yescharacteristic, complemented
96#10622852C2211yescharacteristic, complemented
97#10622852C2211yescharacteristic, complemented
98#10622846C2211yescharacteristic, complemented
99#10622841C2211yescharacteristic, complemented
100#10622831C2211yescharacteristic, complemented
101#10622828C2211yescharacteristic, complemented
102#10622802C2211yescharacteristic, complemented
103#10622801C2211yescharacteristic, complemented
104#10622800C2211yescharacteristic, complemented
105#10622799C2211yescharacteristic, complemented
106#10622799C2211yescharacteristic, complemented
107#10622795C2211yescharacteristic, complemented
108#10622794C2211yescharacteristic, complemented
109#10622787C2211yescharacteristic, complemented
110#10622786C2211yescharacteristic
111#10622786C2211yescharacteristic
112#10622786C2211yescharacteristic, complemented
113#10622786C2211yescharacteristic, complemented
114#10622786C2211yescharacteristic, complemented
115#10622786C2211yescharacteristic, complemented
116#10622785C2211yescharacteristic, complemented
117#10622783C2211yescharacteristic, complemented
118#10622783C2211yescharacteristic, complemented
119#10622782C2211yescharacteristic
120#10622782C2211yescharacteristic
121#10622782C2211yescharacteristic, complemented
122#10622782C2211yescharacteristic, complemented
123#10622780C2211yescharacteristic, complemented
124#10622779C2211yescharacteristic, complemented
125#10622777C2211yescharacteristic, complemented
126#10622775C2211yescharacteristic, complemented
127#10622775C2211yescharacteristic, complemented
128#10622772C2211yescharacteristic, complemented
129#10622771C2211yescharacteristic
130#10622771C2211yescharacteristic, complemented
131#10622769C2211yescharacteristic
132#10622766C2211yescharacteristic, complemented
133D8×Dic11C2211yescharacteristic, complemented
134#10622729C2211yescharacteristic, complemented
135#10622729C2211yescharacteristic, complemented
136#10622726C2211yescharacteristic, complemented
137#10622726C2211yescharacteristic, complemented
138#10622724C2211yescharacteristic, complemented
139#10622723C2211yescharacteristic
140C8×C22⋊D11C2211yescharacteristic, complemented
141C2×(C2×D11)⋊C8C2211yescharacteristic, complemented
142#10622673C2211yescharacteristic, complemented
143#10622670C2211yescharacteristic, complemented
144#10622668C2211yescharacteristic, complemented
145#10622667C2211yescharacteristic, complemented
146#10622665C2211yescharacteristic, complemented
147#10622664C2211yescharacteristic, complemented
148#10622660C2211yescharacteristic, complemented
149#10622658C2211yescharacteristic, complemented
150#10622655C2211yescharacteristic, complemented
151#10622654C2211yescharacteristic, complemented
152#10622650C2211yescharacteristic, complemented
153#10622648C2211yescharacteristic, complemented
154#10622644C2211yescharacteristic, complemented
155#10622639C2211yescharacteristic, complemented
156#10622631C2211yescharacteristic, complemented
157#10622624C2211yescharacteristic, complemented
158#10622621C2211yescharacteristic, complemented
159#10622484C2211yescharacteristic, complemented
160#10622480C2211yescharacteristic, complemented
161#10622475C2211yescharacteristic, complemented
162#10622475C2211yescharacteristic, complemented
163#10622462C2211yescharacteristic, complemented
164#10622459C2211yescharacteristic, complemented
165#10622453C2211yescharacteristic, complemented
166#10622449C2211yescharacteristic, complemented
167#10622431C2211yescharacteristic, complemented
168#10622429C2211yescharacteristic, complemented
169#10622429C2211yescharacteristic, complemented
170#10622428C2211yescharacteristic, complemented
171#10622427C2211yescharacteristic, complemented
172#10622426C2211yescharacteristic, complemented
173#10622422C2211yescharacteristic, complemented
174#10622421C2211yescharacteristic, complemented
175#10622421C2211yescharacteristic, complemented
176#10622416C2211yescharacteristic, complemented
177#10622410C2211yescharacteristic, complemented
178#10622401C2211yescharacteristic, complemented
179#10622398C2211yescharacteristic, complemented
180#10622397C2211yescharacteristic, complemented
181#10622396C2211yescharacteristic
182#10622396C2211yescharacteristic, complemented
183#10622393C2211yescharacteristic, complemented
184#10622389C2211yescharacteristic
185#10622387C2211yescharacteristic, complemented
186#10622384C2211yescharacteristic, complemented
187#10622384C2211yescharacteristic, complemented
188D11×#102C2211yescharacteristic, complemented
189#10622381C2211yescharacteristic, complemented
190#10622376C2211yescharacteristic, complemented
191#10622346C2211yescharacteristic, complemented
192#10622346C2211yescharacteristic, complemented
193#10622343C2211yescharacteristic, complemented
194#10622342C2211yescharacteristic, complemented
195#10622340C2211yescharacteristic
196#10622339C2211yescharacteristic, complemented
197#10622336C2211yescharacteristic, complemented
198#10622336C2211yescharacteristic, complemented
199C4×#4314C2211yescharacteristic, complemented
200#10622303C2211yescharacteristic, complemented
201#10622301C2211yescharacteristic, complemented
202#10622294C2211yescharacteristic, complemented
203C2×C11×#41C2311yescharacteristic
204C2×C11×#41C2311yescharacteristic
205C22×Q8×C11C2311yescharacteristic
206C22×D4×C11C2311yescharacteristic
207C22×C22⋊D11—21no—
208C22×C22⋊D11—21no—
209#41×D11—42no—
210#41×D11—42no—
211C2×#4343C2311yescharacteristic
212C2×Q8×D11C2311yescharacteristic
213C2×Q8×D11C2311yescharacteristic
214#67037—42no—
215#67037—42no—
216C2×#4341—21no—
217C2×#4341—21no—
218C2×#4341C2311yescharacteristic
219C2×#4341C2311yescharacteristic
220C2×#4341C2311yescharacteristic
221C2×#4341C2311yescharacteristic
222C2×D4×D11—21no—
223C2×D4×D11—21no—
224C2×D4×D11C2311yescharacteristic
225C2×D4×D11C2311yescharacteristic
226C2×#4339—21no—
227C2×#4339C2311yescharacteristic
228C2×#4339C2311yescharacteristic
229C2×#4339C2311yescharacteristic
230C22×C4×D11—21no—
231C22×C4×D11C2311yescharacteristic
232C11×#135—42no—
233C2×C11×Q16C2311yescharacteristic
234C2×C11×Q16C2311yescharacteristic
235C2×C11×SD16—42no—
236C2×C11×SD16C2311yescharacteristic
237C2×C11×SD16C2311yescharacteristic
238C2×C11×SD16C2311yescharacteristic
239C2×C11×SD16C2311yescharacteristic
240C2×C11×SD16C2311yescharacteristic
241C2×C11×D8C2311yescharacteristic
242C2×C11×D8C2311yescharacteristic
243C22×C8×C11C2311yescharacteristic
244C22×C8×C11C2311yescharacteristic
245C11×#124—21no—
246C11×#124C2311yescharacteristic
247C11×#124C2311yescharacteristic
248C11×#123—21no—
249C11×C22⋊Q8—21no—
250C11×C22⋊Q8C2311yescharacteristic
251C11×C22⋊Q8C2311yescharacteristic
252C11×#121—21no—
253C11×#121—21no—
254C11×#121C2311yescharacteristic
255C11×#121C2311yescharacteristic
256C11×#120—21no—
257C4×Q8×C11C2311yescharacteristic
258C4×D4×C11—21no—
259C4×D4×C11C2311yescharacteristic
260C4×D4×C11C2311yescharacteristic
261C2×C11×C22⋊C4—21no—
262#67006—21no—
263C2×C22⋊Dic11—21no—
264#67003—42no—
265#67000—21no—
266#66999—21no—
267#66999C2311yescharacteristic
268#66999C2311yescharacteristic
269#66999C2311yescharacteristic
270#66999C2311yescharacteristic
271#66999C2311yescharacteristic
272#66999C2311yescharacteristic
273Q8×Dic11C2311yescharacteristic
274#66997—21no—
275#66997—21no—
276#66997C2311yescharacteristic
277#66997C2311yescharacteristic
278C2×#4326C2311yescharacteristic
279C2×#4326C2311yescharacteristic
280C2×#4326C2311yescharacteristic
281C2×#4326C2311yescharacteristic
282C2×#4326C2311yescharacteristic
283#66995—42no—
284C2×#4325C2311yescharacteristic
285C2×#4325C2311yescharacteristic
286#66992—21no—
287#66992—21no—
288#66992—21no—
289#66992—21no—
290#66992D411yescharacteristic
291#66991—21no—
292#66991—21no—
293#66991—21no—
294#66991—21no—
295#66991C2311yescharacteristic
296#66991C2311yescharacteristic
297#66991C2311yescharacteristic
298#66990—21no—
299#66990—21no—
300#66990—21no—
301#66990D411yescharacteristic
302#66989—21no—
303#66989C2311yescharacteristic
304#66988—21no—
305#66988—21no—
306#66988—21no—
307#66988—21no—
308#66988—21no—
309D4×Dic11—21no—
310D4×Dic11C2311yescharacteristic
311D4×Dic11C2311yescharacteristic
312C2×#4324C2311yescharacteristic
313C2×#4324C2311yescharacteristic
314C2×#4324C2311yescharacteristic
315C2×#4324C2311yescharacteristic
316C2×#4323C2311yescharacteristic
317#66983—21no—
318#66982—21no—
319#66982—21no—
320#66982—21no—
321#66982—21no—
322C4×C22⋊D11—21no—
323C4×C22⋊D11—21no—
324C4×C22⋊D11—21no—
325C4×C22⋊D11—21no—
326C4×C22⋊D11C2311yescharacteristic
327C4×C22⋊D11C2311yescharacteristic
328C2×(C2×D11)⋊C4—21no—
329#66979C2311yescharacteristic
330#66979C2311yescharacteristic
331C2×C4⋊Dic11—21no—
332#66977—21no—
333#66977C2311yescharacteristic
334#66977C2311yescharacteristic
335#66977C2311yescharacteristic
336#66977C2311yescharacteristic
337C2×Dic11⋊C4—21no—
338C2×Dic11⋊C4—21no—
339C2×#4318C2311yescharacteristic
340C22×C11⋊C8C2311yescharacteristic
341#66971—42no—
342#66968—42no—
343#66965—42no—
344#66964—42no—
345C2×Dic44C2311yescharacteristic
346C2×Dic44C2311yescharacteristic
347C2×#4314C2311yescharacteristic
348C2×#4313C2311yescharacteristic
349C2×#4313C2311yescharacteristic
350C2×#4313C2311yescharacteristic
351C2×C8×D11C2311yescharacteristic
352#66951—21no—
353#66950C2311yescharacteristic
354#66950C2311yescharacteristic
355#66950C2311yescharacteristic
356#66949—21no—
357#66949—21no—
358#66949—21no—
359#66949D411yescharacteristic
360#66947—21no—
361#66947—21no—
362#66947D411yescharacteristic
363#66946C2311yescharacteristic
364#66945—21no—
365#66945C2311yescharacteristic
366C4⋊C4×D11—21no—
367C4⋊C4×D11—21no—
368C4⋊C4×D11—21no—
369C4⋊C4×D11C2311yescharacteristic
370C4⋊C4×D11C2311yescharacteristic
371#66943C2311yescharacteristic
372#66942—21no—
373#66942—21no—
374#66941—21no—
375#66940—21no—
376#66939—21no—
377#66939—21no—
378#66939—21no—
379#66938—21no—
380#66938—21no—
381#66938—21no—
382#66937—21no—
383#66937—21no—
384#66937—21no—
385#66937—21no—
386#66937D411yescharacteristic
387#66936—21no—
388#66936—21no—
389#66936—21no—
390#66936—21no—
391#66936—21no—
392#66936—21no—
393#66936—21no—
394#66936—21no—
395#66936—21no—
396#66936—21no—
397#66936D411yescharacteristic
398#66935—21no—
399#66935D411yescharacteristic
400(C22⋊D11)⋊C4—21no—
401(C22⋊D11)⋊C4—21no—
402(C22⋊D11)⋊C4—21no—
403(C22⋊D11)⋊C4—21no—
404C22⋊C4×D11—21no—
405C22⋊C4×D11—21no—
406C22⋊C4×D11—21no—
407C22⋊C4×D11—21no—
408#66932—21no—
409#66932—21no—
410#66932—21no—
411#66932—21no—
412#66932—21no—
413#66931—21no—
414#66931—21no—
415#66931—21no—
416#66931—21no—
417#66931—21no—
418#66931—21no—
419#66931D411yescharacteristic
420#66929—21no—
421C4×D44—21no—
422C4×D44C2311yescharacteristic
423C4×D44C2311yescharacteristic
424#66925C2311yescharacteristic
425#66923—21no—
426#66923—21no—
427#66922C2311yescharacteristic
428#66922C2311yescharacteristic
429C4×Dic22C2311yescharacteristic
430C11×#106C2311yescharacteristic
431C11×C4⋊C8C2311yescharacteristic
432C11×#103C2311yescharacteristic
433C11×#103C2311yescharacteristic
434C11×#103C2311yescharacteristic
435C11×#102C2311yescharacteristic
436C11×#102C2311yescharacteristic
437C11×#102C2311yescharacteristic
438C11×C22⋊C8C2311yescharacteristic
439C11×C22⋊C8C2311yescharacteristic
440C4×C8×C11C2311yescharacteristic
441#66899C2311yescharacteristic
442#66899C2311yescharacteristic
443#66899C2311yescharacteristic
444#66899C2311yescharacteristic
445#66899C2311yescharacteristic
446#66896C2311yescharacteristic
447#66896C2311yescharacteristic
448#66896C2311yescharacteristic
449#66896C2311yescharacteristic
450#66896C2311yescharacteristic
451#66896C2311yescharacteristic
452#66896C2311yescharacteristic
453C22⋊(C11⋊C8)C2311yescharacteristic
454C22⋊(C11⋊C8)C2311yescharacteristic
455#66885C2311yescharacteristic
456#66885C2311yescharacteristic
457#66885C2311yescharacteristic
458(C2×D11)⋊C8C2311yescharacteristic
459(C2×D11)⋊C8C2311yescharacteristic
460(C2×D11)⋊C8C2311yescharacteristic
461(C2×D11)⋊C8C2311yescharacteristic
462(C2×D11)⋊C8C2311yescharacteristic
463(C2×D11)⋊C8C2311yescharacteristic
464(C2×D11)⋊C8C2311yescharacteristic
465(C2×D11)⋊C8C2311yescharacteristic
466#66882C2311yescharacteristic
467#66882C2311yescharacteristic
468#66881C2311yescharacteristic
469#66880C2311yescharacteristic
470#66880C2311yescharacteristic
471#66880C2311yescharacteristic
472#66880C2311yescharacteristic
473#66880C2311yescharacteristic
474#66880C2311yescharacteristic
475#66880C2311yescharacteristic
476#66879C2311yescharacteristic
477Dic11⋊C8C2311yescharacteristic
478Dic11⋊C8C2311yescharacteristic
479C8×Dic11C2311yescharacteristic
480#66874C2311yescharacteristic
481#66874C2311yescharacteristic
482#66874C2311yescharacteristic
483#66873C2311yescharacteristic
484#66872C2311yescharacteristic
485#66872C2311yescharacteristic
486#66871C2311yescharacteristic
487#66871C2311yescharacteristic
488C4⋊(C11⋊C8)C2311yescharacteristic
489#66867C2311yescharacteristic
490#61613—111nomaximal, Sylow
491C24×C11—21no—
492C23×D11—21no—
493C23×D11—21no—
494C23×D11C2×D411yescharacteristic
495C11×#41—22no—
496C11×#41—41no—
497C11×#41—41no—
498C11×#41—41no—
499C2×Q8×C11—21no—
500C2×Q8×C11—41no—
501C2×Q8×C11—41no—
502C2×Q8×C11C2411yescharacteristic
503C2×Q8×C11C2411yescharacteristic
504C2×Q8×C11C2411yescharacteristic
505C2×D4×C11—22no—
506C2×D4×C11—21no—
507C2×D4×C11—21no—
508C2×D4×C11—21no—
509C2×D4×C11—21no—
510C2×D4×C11—21no—
511C2×D4×C11—41no—
512C2×D4×C11C2×D411yescharacteristic
513C2×D4×C11C2411yescharacteristic
514C2×D4×C11C2411yescharacteristic
515C2×D4×C11C2411yescharacteristic
516C22×C4×C11—21no—
517C22×C4×C11—21no—
518C22×C4×C11—21no—
519C22×C4×C11—21no—
520C22×C4×C11C2411yescharacteristic
521C22×C4×C11C2411yescharacteristic
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—21no—
531C2×C22⋊D11—21no—
532C2×C22⋊D11—21no—
533C2×C22⋊D11—44no—
534C2×C22⋊D11—44no—
535C2×C22⋊D11C2×D411yescharacteristic
536C2×C22⋊D11C2×D411yescharacteristic
537C2×C22⋊D11C2×D411yescharacteristic
538C2×C22⋊D11C2×D411yescharacteristic
539C22×Dic11—21no—
540C22×Dic11—21no—
541C22×Dic11—21no—
542C22×Dic11—21no—
543C22×Dic11—21no—
544C22×Dic11—21no—
545C22×Dic11C2×D411yescharacteristic
546#4343—22no—
547#4343—41no—
548Q8×D11—41no—
549Q8×D11—41no—
550Q8×D11—41no—
551Q8×D11—41no—
552#4341—22no—
553#4341—22no—
554#4341—41no—
555#4341—41no—
556#4341—41no—
557#4341—41no—
558#4341—41no—
559#4341—41no—
560#4341—44no—
561#4341—44no—
562D4×D11—22no—
563D4×D11—22no—
564D4×D11—22no—
565D4×D11—41no—
566D4×D11—44no—
567D4×D11—44no—
568#4339—22no—
569#4339—22no—
570#4339—41no—
571#4339—41no—
572#4339—41no—
573#4339—41no—
574#4339—44no—
575C2×D44—21no—
576C2×D44C2×D411yescharacteristic
577C2×D44C2×D411yescharacteristic
578C2×D44C2411yescharacteristic
579C2×C4×D11—21no—
580C2×C4×D11—21no—
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—41no—
589C2×C4×D11—41no—
590C2×C4×D11—44no—
591C2×C4×D11C2×D411yescharacteristic
592C2×C4×D11C2×D411yescharacteristic
593C2×C4×D11C2411yescharacteristic
594C2×C4×D11C2411yescharacteristic
595C2×C4×D11C2411yescharacteristic
596C2×Dic22—21no—
597C2×Dic22—21no—
598C2×Dic22—21no—
599C2×Dic22C2×D411yescharacteristic
600C2×Dic22C2411yescharacteristic
601C2×Dic22C2411yescharacteristic
602C2×Dic22C2411yescharacteristic
603C11×Q16—41no—
604C11×Q16—41no—
605C11×SD16—22no—
606C11×SD16—22no—
607C11×SD16—41no—
608C11×SD16—41no—
609C11×SD16—41no—
610C11×D8—22no—
611C11×D8—41no—
612C2×C8×C11—41no—
613C2×C8×C11—41no—
614C2×C8×C11C2411yescharacteristic
615C2×C8×C11C2411yescharacteristic
616C2×C8×C11C2411yescharacteristic
617C2×C8×C11C2411yescharacteristic
618C11×C4⋊C4—21no—
619C11×C4⋊C4—21no—
620C11×C4⋊C4—21no—
621C11×C4⋊C4C2×D411yescharacteristic
622C11×C4⋊C4C2411yescharacteristic
623C11×C4⋊C4C2411yescharacteristic
624C11×C22⋊C4—21no—
625C11×C22⋊C4—21no—
626C11×C22⋊C4—21no—
627C11×C22⋊C4—21no—
628C11×C22⋊C4—21no—
629C11×C22⋊C4—21no—
630C11×C22⋊C4—21no—
631C11×C22⋊C4—21no—
632C11×C22⋊C4—21no—
633C11×C22⋊C4C2×D411yescharacteristic
634C11×C22⋊C4C2×D411yescharacteristic
635C42×C11—21no—
636C42×C11C2411yescharacteristic
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
652#4326—41no—
653#4326—41no—
654#4326—41no—
655#4326—41no—
656#4326—41no—
657#4325—22no—
658#4325—22no—
659#4324—22no—
660#4324—41no—
661#4324—41no—
662#4324—41no—
663#4323—22no—
664(C2×D11)⋊C4—21no—
665(C2×D11)⋊C4—21no—
666(C2×D11)⋊C4—21no—
667(C2×D11)⋊C4—21no—
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)⋊C4—21no—
675(C2×D11)⋊C4—21no—
676(C2×D11)⋊C4C2×D411yescharacteristic
677(C2×D11)⋊C4C2×D411yescharacteristic
678(C2×D11)⋊C4C2×D411yescharacteristic
679(C2×D11)⋊C4C2×D411yescharacteristic
680(C2×D11)⋊C4C2×D411yescharacteristic
681(C2×D11)⋊C4C2×D411yescharacteristic
682C4⋊Dic11—21no—
683C4⋊Dic11—21no—
684C4⋊Dic11—21no—
685C4⋊Dic11—21no—
686C4⋊Dic11—21no—
687C4⋊Dic11—21no—
688C4⋊Dic11—21no—
689C4⋊Dic11—21no—
690C4⋊Dic11C2×D411yescharacteristic
691C4⋊Dic11C2411yescharacteristic
692C4⋊Dic11C2411yescharacteristic
693C4⋊Dic11C2411yescharacteristic
694C4⋊Dic11C2411yescharacteristic
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⋊C4—21no—
711Dic11⋊C4—21no—
712Dic11⋊C4—21no—
713Dic11⋊C4C2×D411yescharacteristic
714Dic11⋊C4C2×D411yescharacteristic
715Dic11⋊C4C2×D411yescharacteristic
716Dic11⋊C4C2×D411yescharacteristic
717C4×Dic11—21no—
718C4×Dic11—21no—
719C4×Dic11—21no—
720C4×Dic11—21no—
721C4×Dic11—21no—
722C4×Dic11C2411yescharacteristic
723#4318—41no—
724C2×C11⋊C8—41no—
725C2×C11⋊C8C2411yescharacteristic
726C2×C11⋊C8C2411yescharacteristic
727C2×C11⋊C8C2411yescharacteristic
728C2×C11⋊C8C2411yescharacteristic
729Dic44—41no—
730Dic44—41no—
731#4314—22no—
732#4313—41no—
733#4313—41no—
734#4313—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#3282D1111yescharacteristic, complemented
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#3012—111no—
763#3009—111no—
764#3007—111no—
765#3002—111no—
766#2976—111no—
767C23×C11—21no—
768C23×C11—21no—
769C23×C11—21no—
770C23×C11—42no—
771C23×C11—81no—
772C23×C11—81no—
773C23×C11C22×D411yescharacteristic
774C23×C11C22×D411yescharacteristic
775C22×D11—21no—
776C22×D11—24no—
777C22×D11—41no—
778C22×D11—41no—
779C22×D11—41no—
780C22×D11—42no—
781C22×D11—81no—
782C22×D11—81no—
783C22×D11—81no—
784C22×D11—81no—
785C22×D11C22×D411yescharacteristic
786C22×D11C22×D411yescharacteristic
787C22×D11C22×D411yescharacteristic
788Q8×C11—21no—
789Q8×C11—21no—
790Q8×C11—21no—
791Q8×C11—21no—
792Q8×C11—21no—
793Q8×C11—21no—
794Q8×C11—81no—
795D4×C11—21no—
796D4×C11—21no—
797D4×C11—21no—
798D4×C11—21no—
799D4×C11—21no—
800D4×C11—41no—
801D4×C11—42no—
802D4×C11—42no—
803D4×C11—81no—
804D4×C11—81no—
805D4×C11—81no—
806D4×C11H(5,𝔽2)12yes—
807C2×C4×C11—21no—
808C2×C4×C11—21no—
809C2×C4×C11—21no—
810C2×C4×C11—21no—
811C2×C4×C11—21no—
812C2×C4×C11—21no—
813C2×C4×C11—21no—
814C2×C4×C11—21no—
815C2×C4×C11—21no—
816C2×C4×C11—42no—
817C2×C4×C11—81no—
818C2×C4×C11—81no—
819C2×C4×C11—81no—
820C2×C4×C11C22×D411yescharacteristic
821C2×C4×C11C22×D411yescharacteristic
822C2×C4×C11C22×D411yescharacteristic
823C2×C4×C11C22×D411yescharacteristic
824C2×C4×C11C2511yescharacteristic
825C22⋊D11—24no—
826C22⋊D11—41no—
827C22⋊D11—41no—
828C22⋊D11—41no—
829C22⋊D11—41no—
830C22⋊D11—42no—
831C22⋊D11—42no—
832C22⋊D11—42no—
833C22⋊D11—42no—
834C22⋊D11—42no—
835C22⋊D11—42no—
836C22⋊D11—42no—
837C22⋊D11—81no—
838C22⋊D11—81no—
839C22⋊D11—81no—
840C2×Dic11—21no—
841C2×Dic11—21no—
842C2×Dic11—21no—
843C2×Dic11—21no—
844C2×Dic11—21no—
845C2×Dic11—21no—
846C2×Dic11—21no—
847C2×Dic11—41no—
848C2×Dic11—42no—
849C2×Dic11—42no—
850C2×Dic11—42no—
851C2×Dic11—81no—
852C2×Dic11—81no—
853C2×Dic11—81no—
854C2×Dic11C22×D411yescharacteristic
855C2×Dic11C22×D411yescharacteristic
856C2×Dic11C22×D411yescharacteristic
857C2×Dic11C22×D411yescharacteristic
858C2×Dic11C22×D411yescharacteristic
859D44—21no—
860D44—41no—
861D44—41no—
862D44—42no—
863D44H(5,𝔽2)12yes—
864C4×D11—21no—
865C4×D11—21no—
866C4×D11—21no—
867C4×D11—21no—
868C4×D11—21no—
869C4×D11—21no—
870C4×D11—41no—
871C4×D11—41no—
872C4×D11—42no—
873C4×D11—42no—
874C4×D11—42no—
875C4×D11—42no—
876C4×D11—81no—
877C4×D11—81no—
878C4×D11—81no—
879C4×D11—81no—
880C4×D11—81no—
881Dic22—21no—
882Dic22—21no—
883Dic22—21no—
884Dic22—21no—
885Dic22—21no—
886Dic22—21no—
887Dic22—41no—
888Dic22—42no—
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)—111no—
900C22×#41—111no—
901C2×#137—111no—
902C2×#137—111no—
903C2×#137—111no—
904C2×AGL(1,ℤ/8)—111no—
905C2×#135—111no—
906C2×#135—111no—
907C2×#135C2×D1111yescharacteristic, complemented
908C22×SD16C2×D1111yescharacteristic, complemented
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#548C2×D1111yescharacteristic, complemented
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—221no—
931#546—221no—
932#546C2×D1111yescharacteristic
933#542—111no—
934#542—221no—
935#541—111no—
936#539—221no—
937#538—221no—
938#538—221no—
939#537—111no—
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#495C2×D1111yescharacteristic, complemented
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#465C2×D1111yescharacteristic, complemented
991#465C2×D1111yescharacteristic, complemented
992#464—111no—
993#464—111no—
994#464C2×D1111yescharacteristic, complemented
995#463—111no—
996#463—111no—
997#463C2×D1111yescharacteristic, complemented
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#452—111no—
1018#452C2×D1111yescharacteristic, complemented
1019#451—111no—
1020#451—111no—
1021#451—111no—
1022#451—111no—
1023#451—111no—
1024#451C2×D1111yescharacteristic, complemented
1025#450—111no—
1026#450—111no—
1027#450—111no—
1028#450—111no—
1029#450—111no—
1030#450—111no—
1031#449—111no—
1032#449—111no—
1033#449—111no—
1034#449—111no—
1035#449C2×D1111yescharacteristic, complemented
1036#448—111no—
1037#448—111no—
1038#447—111no—
1039#447C2×D1111yescharacteristic, complemented
1040#442—111no—
1041#440—111no—
1042#440—111no—
1043#440—111no—
1044C4×SD16—111no—
1045C4×SD16—111no—
1046C4×SD16C2×D1111yescharacteristic, complemented
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×D4C2×D1111yescharacteristic, complemented
1056#433—111no—
1057#433—111no—
1058#418—111no—
1059#417—111no—
1060#417—111no—
1061#417—111no—
1062#416—111no—
1063#416—111no—
1064#416—111no—
1065C2×#102—111no—
1066#408—111no—
1067#408—111no—
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—22no—
1077C22×C11—41no—
1078C22×C11—41no—
1079C22×C11—41no—
1080C22×C11—41no—
1081C22×C11—41no—
1082C22×C11—41no—
1083C22×C11—41no—
1084C22×C11—41no—
1085C22×C11—162no—
1086C22×C11C23×D411yescharacteristic
1087C2×D11—21no—
1088C2×D11—21no—
1089C2×D11—21no—
1090C2×D11—21no—
1091C2×D11—21no—
1092C2×D11—21no—
1093C2×D11—21no—
1094C2×D11—22no—
1095C2×D11—21no—
1096C2×D11—21no—
1097C2×D11—41no—
1098C2×D11—41no—
1099C2×D11—84no—
1100C2×D11—82no—
1101C2×D11—162no—
1102C4×C11—21no—
1103C4×C11—21no—
1104C4×C11—21no—
1105C4×C11—21no—
1106C4×C11—41no—
1107C4×C11—41no—
1108C4×C11—41no—
1109C4×C11—41no—
1110C4×C11—41no—
1111C4×C11C2×H(5,𝔽2)11yescharacteristic
1112C4×C11C2×H(5,𝔽2)11yescharacteristic
1113Dic11—21no—
1114Dic11—21no—
1115Dic11—21no—
1116Dic11—21no—
1117Dic11—21no—
1118Dic11—41no—
1119Dic11—41no—
1120Dic11—41no—
1121Dic11—41no—
1122Dic11—41no—
1123Dic11—41no—
1124Dic11—41no—
1125H(5,𝔽2)—442no—
1126H(5,𝔽2)—442no—
1127C2×#41—111no—
1128C2×#41—111no—
1129C2×#41—111no—
1130C2×#41—111no—
1131C2×#41—111no—
1132C2×#41—111no—
1133C2×#41—111no—
1134C2×#41—111no—
1135C2×#41—221no—
1136C2×#41—221no—
1137C2×#41—221no—
1138C2×#41—442no—
1139C2×#41—442no—
1140C2×#41C22×D1111yescharacteristic
1141C2×#41C22×D1111yescharacteristic
1142C22×Q8—111no—
1143C22×Q8—111no—
1144C22×Q8C22×D1111yescharacteristic
1145C22×D4—111no—
1146C22×D4—111no—
1147C22×D4—221no—
1148C22×D4—221no—
1149C22×D4—221no—
1150C22×D4—221no—
1151C22×D4C22×D1111yescharacteristic
1152C23×C4—111no—
1153C23×C4—221no—
1154#137—442no—
1155#137—442no—
1156#137—442no—
1157AGL(1,ℤ/8)—442no—
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×Q16C22×D1111yescharacteristic
1169C2×Q16C22×D1111yescharacteristic
1170C2×SD16—42no—
1171C2×SD16—111no—
1172C2×SD16—111no—
1173C2×SD16—111no—
1174C2×SD16—111no—
1175C2×SD16—111no—
1176C2×SD16—111no—
1177C2×SD16—111no—
1178C2×SD16C22×D1111yescharacteristic
1179C2×SD16C22×D1111yescharacteristic
1180C2×SD16C22×D1111yescharacteristic
1181C2×SD16C22×D1111yescharacteristic
1182C2×SD16C22×D1111yescharacteristic
1183C2×D8—111no—
1184C2×D8C22×D1111yescharacteristic
1185C2×D8C22×D1111yescharacteristic
1186C2×M16—111no—
1187C2×M16—111no—
1188C2×M16—111no—
1189C2×M16—111no—
1190C22×C8—111no—
1191C22×C8—111no—
1192C22×C8C22×D1111yescharacteristic
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—21no—
1214#124—111no—
1215#124—221no—
1216#124—221no—
1217#124—221no—
1218#124—221no—
1219#124—221no—
1220#124C22×D1111yescharacteristic
1221#124C22×D1111yescharacteristic
1222#123—21no—
1223#123—111no—
1224#123—111no—
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—111no—
1281#121—111no—
1282#121—111no—
1283#121—111no—
1284#121—111no—
1285#121—221no—
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—21no—
1301#120—111no—
1302#120—111no—
1303#120—221no—
1304#120—221no—
1305#120—221no—
1306#120—221no—
1307#120—221no—
1308C4×Q8—111no—
1309C4×Q8—111no—
1310C4×Q8—221no—
1311C4×Q8C22×D1111yescharacteristic
1312C4×D4—21no—
1313C4×D4—111no—
1314C4×D4—111no—
1315C4×D4—111no—
1316C4×D4—111no—
1317C4×D4—111no—
1318C4×D4—111no—
1319C4×D4—111no—
1320C4×D4—221no—
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×D4C22×D1111yescharacteristic
1331C4×D4C22×D1111yescharacteristic
1332#117—111no—
1333#117—111no—
1334#117—111no—
1335#117—111no—
1336#117—221no—
1337C2×C4⋊C4—111no—
1338C2×C4⋊C4—111no—
1339C2×C4⋊C4—221no—
1340C2×C4⋊C4—221no—
1341C2×C4⋊C4—221no—
1342C2×C4⋊C4—221no—
1343C2×C4⋊C4—221no—
1344C2×C4⋊C4—221no—
1345C2×C22⋊C4—21no—
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#106C22×D1111yescharacteristic
1360C4⋊C8—111no—
1361C4⋊C8—111no—
1362C4⋊C8—111no—
1363C4⋊C8C22×D1111yescharacteristic
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#103C22×D1111yescharacteristic
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#102—111no—
1391#102—111no—
1392#102—111no—
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⋊C8—111no—
1405C22⋊C8—111no—
1406C22⋊C8C22×D1111yescharacteristic
1407C22⋊C8C22×D1111yescharacteristic
1408#97—111no—
1409#97—111no—
1410C4×C8—111no—
1411C4×C8C22×D1111yescharacteristic
1412C2×C11—41no—
1413C2×C11—42no—
1414C2×C11—41no—
1415C2×C11—81no—
1416C2×C11—81no—
1417C2×C11#348411yescharacteristic
1418C2×C11#358411yescharacteristic
1419C2×C11#358611yescharacteristic
1420D11—41no—
1421D11—41no—
1422D11—41no—
1423D11—42no—
1424C24—21no—
1425C24—111no—
1426C24—221no—
1427C24—221no—
1428#41—22no—
1429#41—41no—
1430#41—41no—
1431#41—41no—
1432#41—222no—
1433#41—222no—
1434#41—222no—
1435#41—222no—
1436#41—222no—
1437#41—441no—
1438#41—441no—
1439#41—441no—
1440#41—441no—
1441#41—444no—
1442#41—441no—
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—21no—
1452C2×Q8—41no—
1453C2×Q8—41no—
1454C2×Q8—111no—
1455C2×Q8—111no—
1456C2×Q8—111no—
1457C2×Q8—111no—
1458C2×Q8—221no—
1459C2×Q8—221no—
1460C2×Q8—221no—
1461C2×Q8—441no—
1462C2×Q8—441no—
1463C2×Q8—441no—
1464C2×Q8—441no—
1465C2×Q8C23×D1111yescharacteristic
1466C2×Q8C23×D1111yescharacteristic
1467C2×Q8C23×D1111yescharacteristic
1468C2×D4—22no—
1469C2×D4—21no—
1470C2×D4—21no—
1471C2×D4—21no—
1472C2×D4—21no—
1473C2×D4—21no—
1474C2×D4—41no—
1475C2×D4—111no—
1476C2×D4—111no—
1477C2×D4—111no—
1478C2×D4—111no—
1479C2×D4—111no—
1480C2×D4—111no—
1481C2×D4—111no—
1482C2×D4—221no—
1483C2×D4—221no—
1484C2×D4—221no—
1485C2×D4—222no—
1486C2×D4—222no—
1487C2×D4—222no—
1488C2×D4—221no—
1489C2×D4—221no—
1490C2×D4—221no—
1491C2×D4—221no—
1492C2×D4—221no—
1493C2×D4—221no—
1494C2×D4—221no—
1495C2×D4—221no—
1496C2×D4—221no—
1497C2×D4—441no—
1498C2×D4—444no—
1499C2×D4—444no—
1500C2×D4—444no—
1501C2×D4—444no—
1502C2×D4D4×D1111yescharacteristic
1503C2×D4C23×D1111yescharacteristic
1504C2×D4C23×D1111yescharacteristic
1505C2×D4C23×D1111yescharacteristic
1506C22×C4—21no—
1507C22×C4—21no—
1508C22×C4—21no—
1509C22×C4—21no—
1510C22×C4—111no—
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—221no—
1531C22×C4—441no—
1532C22×C4—441no—
1533C22×C4—444no—
1534C22×C4C23×D1111yescharacteristic
1535C22×C4C23×D1111yescharacteristic
1536Q16—41no—
1537Q16—41no—
1538Q16—441no—
1539Q16—441no—
1540Q16—441no—
1541Q16—441no—
1542Q16—441no—
1543Q16—441no—
1544Q16—441no—
1545SD16—22no—
1546SD16—22no—
1547SD16—41no—
1548SD16—41no—
1549SD16—41no—
1550SD16—222no—
1551SD16—222no—
1552SD16—222no—
1553SD16—222no—
1554SD16—441no—
1555SD16—441no—
1556SD16—441no—
1557D8—22no—
1558D8—41no—
1559D8—222no—
1560M16—441no—
1561M16—441no—
1562M16—441no—
1563M16—441no—
1564C2×C8—41no—
1565C2×C8—41no—
1566C2×C8—111no—
1567C2×C8—111no—
1568C2×C8—111no—
1569C2×C8—111no—
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—221no—
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⋊C4D4×D1111yescharacteristic
1615C4⋊C4C23×D1111yescharacteristic
1616C4⋊C4C23×D1111yescharacteristic
1617C22⋊C4—21no—
1618C22⋊C4—21no—
1619C22⋊C4—21no—
1620C22⋊C4—21no—
1621C22⋊C4—21no—
1622C22⋊C4—21no—
1623C22⋊C4—21no—
1624C22⋊C4—21no—
1625C22⋊C4—21no—
1626C22⋊C4—111no—
1627C22⋊C4—111no—
1628C22⋊C4—111no—
1629C22⋊C4—111no—
1630C22⋊C4—111no—
1631C22⋊C4—111no—
1632C22⋊C4—111no—
1633C22⋊C4—111no—
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⋊C4D4×D1111yescharacteristic
1660C22⋊C4D4×D1111yescharacteristic
1661C42—21no—
1662C42—111no—
1663C42—221no—
1664C42—221no—
1665C42—221no—
1666C42—221no—
1667C42—221no—
1668C42C23×D1111yescharacteristic
1669C11#6161311yescharacteristic, complemented, Sylow
1670C23—21no—
1671C23—21no—
1672C23—21no—
1673C23—42no—
1674C23—81no—
1675C23—81no—
1676C23—111no—
1677C23—111no—
1678C23—111no—
1679C23—224no—
1680C23—221no—
1681C23—441no—
1682C23—441no—
1683C23—441no—
1684C23—442no—
1685C23—881no—
1686C23—881no—
1687C23—881no—
1688C23—881no—
1689C23C2×D4×D1111yescharacteristic
1690C23C2×D4×D1111yescharacteristic
1691Q8—21no—
1692Q8—21no—
1693Q8—21no—
1694Q8—21no—
1695Q8—21no—
1696Q8—21no—
1697Q8—81no—
1698Q8—221no—
1699Q8—221no—
1700Q8—221no—
1701Q8—221no—
1702Q8—221no—
1703Q8—221no—
1704Q8—441no—
1705Q8—442no—
1706Q8—881no—
1707Q8—881no—
1708D4—21no—
1709D4—21no—
1710D4—21no—
1711D4—21no—
1712D4—21no—
1713D4—41no—
1714D4—42no—
1715D4—42no—
1716D4—81no—
1717D4—81no—
1718D4—81no—
1719D4—112no—
1720D4—224no—
1721D4—221no—
1722D4—441no—
1723D4—441no—
1724D4—442no—
1725D4—441no—
1726D4—441no—
1727D4—441no—
1728D4—441no—
1729D4—442no—
1730D4—442no—
1731D4—442no—
1732D4—442no—
1733D4—442no—
1734D4—442no—
1735D4—442no—
1736D4—881no—
1737D4—881no—
1738D4—881no—
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—42no—
1750C2×C4—81no—
1751C2×C4—81no—
1752C2×C4—81no—
1753C2×C4—111no—
1754C2×C4—111no—
1755C2×C4—111no—
1756C2×C4—111no—
1757C2×C4—111no—
1758C2×C4—221no—
1759C2×C4—221no—
1760C2×C4—221no—
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—441no—
1772C2×C4—441no—
1773C2×C4—442no—
1774C2×C4—442no—
1775C2×C4—442no—
1776C2×C4—442no—
1777C2×C4—441no—
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×C4C2×D4×D1111yescharacteristic
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—22no—
1807C22—21no—
1808C22—21no—
1809C22—41no—
1810C22—41no—
1811C22—41no—
1812C22—41no—
1813C22—41no—
1814C22—41no—
1815C22—41no—
1816C22—41no—
1817C22—162no—
1818C22—221no—
1819C22—221no—
1820C22—221no—
1821C22—221no—
1822C22—221no—
1823C22—221no—
1824C22—222no—
1825C22—221no—
1826C22—221no—
1827C22—221no—
1828C22—441no—
1829C22—441no—
1830C22—884no—
1831C22—882no—
1832C22—1762no—
1833C22C22×D4×D1111yescharacteristic
1834C4—21no—
1835C4—21no—
1836C4—21no—
1837C4—21no—
1838C4—41no—
1839C4—41no—
1840C4—41no—
1841C4—41no—
1842C4—41no—
1843C4—221no—
1844C4—221no—
1845C4—221no—
1846C4—221no—
1847C4—221no—
1848C4—441no—
1849C4—441no—
1850C4—441no—
1851C4—441no—
1852C4—441no—
1853C4—441no—
1854C4—441no—
1855C4C2×#6703711yescharacteristic
1856C4D11×H(5,𝔽2)11yescharacteristic
1857C2—41no—
1858C2—41no—
1859C2—42no—
1860C2—81no—
1861C2—81no—
1862C2—441no—
1863C2—441no—
1864C2—441no—
1865C2—442no—
1866C2#1308224411yescharacteristic
1867C2#1308338511yescharacteristic
1868C2#1308339811yescharacteristic
subgroupG/H
centerC22C22×D4×D11
commutator, cosocleC2×C4×C11C25
FrattiniC2×C4C24×D11
FittingC11×#3282C2
socleC22×C11C23×D4
hypercenter#3282D11
hypocenterC11#61613
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3282

Complements

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

NH ≅ G/Ntype
1. #13082907C2semidirect
2. #13082253C2semidirect
3. #13080934C2semidirect
4. #13080821C2semidirect
5. #13080716C2semidirect
6. #13080704C2semidirect
7. #13080652C2semidirect
8. #13080598C2semidirect
9. #13080534C2semidirect
10. #13080446C2semidirect
11. #13080332C2semidirect
12. #13080255C2semidirect
13. #13080246C2semidirect
14. #13080177C2semidirect
15. #13080172C2semidirect
16. #13080134C2semidirect
17. #13080126C2semidirect
18. #13079718C2semidirect
19. #13079696C2semidirect
20. #13079509C2semidirect
21. #13079491C2semidirect
22. #13079455C2semidirect
23. #13079392C2semidirect
24. #13078865C2semidirect
25. #13078797C2semidirect
26. #13077915C2semidirect
27. #13077889C2semidirect
28. #13077873C2semidirect
29. #13077830C2semidirect
30. #13077658C2semidirect
31. C11×#3282C2semidirect
34. C2×C11×#135C22semidirect
35. C22×C11×SD16C22semidirect
36. C11×#548C22semidirect
38. #10623359C22semidirect
40. #10623355C22semidirect
41. C2×#67003C22semidirect
43. Q8×C22⋊D11C22semidirect
44. C2×#66995C22semidirect
46. C2×#66971C22semidirect
47. C2×#66968C22semidirect
48. C2×#66965C22semidirect
49. C2×#66964C22semidirect
50. #10623213C22semidirect
52. #10623208C22semidirect
59. #10623170C22semidirect
63. D11×C22⋊Q8C22semidirect
65. #10623145C22semidirect
74. #10623114C22semidirect
75. #10623110C22semidirect
82. #10623073C22semidirect
85. C11×#495C22semidirect
86. C11×#465C22semidirect
87. C11×#465C22semidirect
88. C11×#464C22semidirect
89. C11×#463C22semidirect
90. C11×#452C22semidirect
91. C11×#451C22semidirect
92. C11×#449C22semidirect
93. C11×#447C22semidirect
94. C4×C11×SD16C22semidirect
95. C8×D4×C11C22semidirect
96. #10622852C22semidirect
97. #10622852C22semidirect
98. #10622846C22semidirect
99. #10622841C22semidirect
100. #10622831C22semidirect
101. #10622828C22semidirect
102. #10622802C22semidirect
103. #10622801C22semidirect
104. #10622800C22semidirect
105. #10622799C22semidirect
106. #10622799C22semidirect
107. #10622795C22semidirect
108. #10622794C22semidirect
109. #10622787C22semidirect
112. #10622786C22semidirect
113. #10622786C22semidirect
114. #10622786C22semidirect
115. #10622786C22semidirect
116. #10622785C22semidirect
117. #10622783C22semidirect
118. #10622783C22semidirect
121. #10622782C22semidirect
122. #10622782C22semidirect
123. #10622780C22semidirect
124. #10622779C22semidirect
125. #10622777C22semidirect
126. #10622775C22semidirect
127. #10622775C22semidirect
128. #10622772C22semidirect
130. #10622771C22semidirect
132. #10622766C22semidirect
133. D8×Dic11C22semidirect
134. #10622729C22semidirect
135. #10622729C22semidirect
136. #10622726C22semidirect
137. #10622726C22semidirect
138. #10622724C22semidirect
140. C8×C22⋊D11C22semidirect
141. C2×(C2×D11)⋊C8C22semidirect
142. #10622673C22semidirect
143. #10622670C22semidirect
144. #10622668C22semidirect
145. #10622667C22semidirect
146. #10622665C22semidirect
147. #10622664C22semidirect
148. #10622660C22semidirect
149. #10622658C22semidirect
150. #10622655C22semidirect
151. #10622654C22semidirect
152. #10622650C22semidirect
153. #10622648C22semidirect
154. #10622644C22semidirect
155. #10622639C22semidirect
156. #10622631C22semidirect
157. #10622624C22semidirect
158. #10622621C22semidirect
159. #10622484C22semidirect
160. #10622480C22semidirect
161. #10622475C22semidirect
162. #10622475C22semidirect
163. #10622462C22semidirect
164. #10622459C22semidirect
165. #10622453C22semidirect
166. #10622449C22semidirect
167. #10622431C22semidirect
168. #10622429C22semidirect
169. #10622429C22semidirect
170. #10622428C22semidirect
171. #10622427C22semidirect
172. #10622426C22semidirect
173. #10622422C22semidirect
174. #10622421C22semidirect
175. #10622421C22semidirect
176. #10622416C22semidirect
177. #10622410C22semidirect
178. #10622401C22semidirect
179. #10622398C22semidirect
180. #10622397C22semidirect
182. #10622396C22semidirect
183. #10622393C22semidirect
185. #10622387C22semidirect
186. #10622384C22semidirect
187. #10622384C22semidirect
188. D11×#102C22semidirect
189. #10622381C22semidirect
190. #10622376C22semidirect
191. #10622346C22semidirect
192. #10622346C22semidirect
193. #10622343C22semidirect
194. #10622342C22semidirect
196. #10622339C22semidirect
197. #10622336C22semidirect
198. #10622336C22semidirect
199. C4×#4314C22semidirect
200. #10622303C22semidirect
201. #10622301C22semidirect
202. #10622294C22semidirect
747. #3282D11semidirect
907. C2×#135C2×D11semidirect
908. C22×SD16C2×D11semidirect
919. #548C2×D11semidirect
954. #495C2×D11semidirect
990. #465C2×D11semidirect
991. #465C2×D11semidirect
994. #464C2×D11semidirect
997. #463C2×D11semidirect
1018. #452C2×D11semidirect
1024. #451C2×D11semidirect
1035. #449C2×D11semidirect
1039. #447C2×D11semidirect
1046. C4×SD16C2×D11semidirect
1055. C8×D4C2×D11semidirect
1669. C11#61613semidirect

Maximal subgroups

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

subgroupindex
#130829072
#130822532
#130809342
#130808212
#130807162
#130807042
#130806522
#130805982
#130805342
#130804462
#130803322
#130802552
#130802462
#130801772
#130801722
#130801342
#130801262
#130797182
#130796962
#130795092
#130794912
#130794552
#130793922
#130788652
#130787972
#130779152
#130778892
#130778732
#130778302
#130776582
C11×#32822
#6161311