Finite Group Databasebeta

← #15620313

Subgroups — #15620313

Order 2816.

5058 conjugacy classes of subgroups.

The subgroup lattice has 1652 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×D11×H(5,𝔽2)C211yesmaximal, characteristic, complemented
2C2×#10623306C211yesmaximal, characteristic, complemented
3C2×#10623301C211yesmaximal, characteristic, complemented
4#13082291C211yesmaximal, characteristic, complemented
5#13077918C212yesmaximal, complemented
6#13077917C211yesmaximal, characteristic, complemented
7#13077915C212yesmaximal, complemented
8#13077895C211yesmaximal, characteristic, complemented
9#13077893C211yesmaximal, characteristic, complemented
10#13077890C212yesmaximal, complemented
11#13077888C212yesmaximal, complemented
12#13077877C211yesmaximal, characteristic, complemented
13#13077873C212yesmaximal, complemented
14#13077841C211yesmaximal, characteristic, complemented
15#13077840C212yesmaximal, complemented
16#13077831C212yesmaximal, complemented
17#13077830C211yesmaximal, characteristic, complemented
18C2×#10622389C211yesmaximal, characteristic, complemented
19D11×#450C212yesmaximal, complemented
20#13077140C211yesmaximal, characteristic, complemented
21#13077137C211yesmaximal, characteristic, complemented
22#13077064C211yesmaximal, characteristic, complemented
23C11×#3012C211yesmaximal, characteristic, complemented
24C2×C11×H(5,𝔽2)C2211yescharacteristic
25D11×H(5,𝔽2)—28no—
26D11×H(5,𝔽2)—28no—
27C2×#67043C2211yescharacteristic, complemented
28C2×#67042—21no—
29C2×#67042C2212yes—
30C2×#67042C2211yescharacteristic
31C2×#67042C2211yescharacteristic
32C2×#41×D11—21no—
33C2×#41×D11C2211yescharacteristic
34C2×#41×D11C2212yes—
35C2×#41×D11C2211yescharacteristic
36C2×#67037—21no—
37C2×#67037—22no—
38C2×#67037C2212yes—
39C2×#67037C2211yescharacteristic
40C22×D4×D11—22no—
41C22×D4×D11—21no—
42C22×D4×D11C2212yes—
43C22×D4×D11C2211yescharacteristic
44C2×C11×AGL(1,ℤ/8)C2211yescharacteristic, complemented
45C2×C11×#135C2211yescharacteristic, complemented
46C11×#537C2211yescharacteristic, complemented
47#10623359C2211yescharacteristic, complemented
48#10623356C2211yescharacteristic, complemented
49C2×#67004C2211yescharacteristic, complemented
50C2×#67003C2211yescharacteristic, complemented
51C2×#67002C2211yescharacteristic, complemented
52C22×#4324C2211yescharacteristic, complemented
53#10623306—28no—
54#10623301—28no—
55C2×#66971C2212yescomplemented
56C2×#66969C2212yescomplemented
57C2×#66968C2212yescomplemented
58C2×SD16×D11C2212yescomplemented
59C2×SD16×D11C2212yescomplemented
60C2×#66965C2212yescomplemented
61C2×#66964C2212yescomplemented
62C2×#66964C2212yescomplemented
63C2×#66962C2211yescharacteristic, complemented
64C2×#66960C2211yescharacteristic, complemented
65C22×#4314C2211yescharacteristic, complemented
66C2×#66954C2211yescharacteristic, complemented
67#10623163—21no—
68#10623162—21no—
69#10623159C2212yescomplemented
70D11×C22⋊Q8C2212yescomplemented
71#10623143—21no—
72#10623142—22no—
73#10623141—22no—
74#10623139C2212yescomplemented
75#10623137C2212yescomplemented
76#10623129—21no—
77C2×#66950C2211yescharacteristic, complemented
78#10623035C2211yescharacteristic, complemented
79C11×#452C2212yescomplemented
80C11×#450C2212yescomplemented
81C11×#449C2212yescomplemented
82C11×#447C2212yescomplemented
83C11×#417C2211yescharacteristic, complemented
84C2×C11×#102C2211yescharacteristic, complemented
85C11×#408C2211yescharacteristic, complemented
86#10622852C2212yescomplemented
87#10622852C2212yescomplemented
88#10622847C2211yescharacteristic, complemented
89#10622846C2211yescharacteristic, complemented
90#10622831C2212yescomplemented
91#10622831C2212yescomplemented
92#10622828C2211yescharacteristic, complemented
93#10622800C2211yescharacteristic, complemented
94#10622799C2211yescharacteristic, complemented
95#10622786C2211yescharacteristic, complemented
96#10622785C2211yescharacteristic, complemented
97#10622783C2211yescharacteristic, complemented
98#10622782C2211yescharacteristic, complemented
99#10622782C2212yescomplemented
100#10622782C2212yescomplemented
101#10622771C2211yescharacteristic, complemented
102#10622769C2211yescharacteristic, complemented
103#10622769C2212yescomplemented
104#10622769C2212yescomplemented
105#10622744C2211yescharacteristic, complemented
106#10622739C2211yescharacteristic, complemented
107#10622726C2211yescharacteristic, complemented
108C2×(C2×D11)⋊C8C2211yescharacteristic, complemented
109#10622660C2212yescomplemented
110#10622659C2212yescomplemented
111#10622650C2212yescomplemented
112#10622649C2212yescomplemented
113#10622579C2211yescharacteristic, complemented
114C2×#66873C2211yescharacteristic, complemented
115#10622423C2212yescomplemented
116#10622421C2212yescomplemented
117#10622417C2212yescomplemented
118#10622416C2212yescomplemented
119#10622396C2212yescomplemented
120#10622389C2212yescomplemented
121#10622389C2212yescomplemented
122#10622389C2212yescomplemented
123#10622389C2212yescomplemented
124#10622389C2212yescomplemented
125#10622385C2212yescomplemented
126#10622384C2212yescomplemented
127#10622383C2212yescomplemented
128#10622383C2212yescomplemented
129D11×#102C2212yescomplemented
130D11×#102C2212yescomplemented
131#10622346C2212yescomplemented
132#10622346C2212yescomplemented
133#10622344C2212yescomplemented
134#10622344C2212yescomplemented
135#10622340C2212yescomplemented
136#10622340C2212yescomplemented
137#10622339C2212yescomplemented
138D11×C22⋊C8C2212yescomplemented
139C24×D11—22no—
140C24×D11—21no—
141C11×H(5,𝔽2)—24no—
142C11×H(5,𝔽2)—24no—
143C2×C11×#41—21no—
144C2×C11×#41C2312yes—
145C2×C11×#41C2311yescharacteristic
146C2×C11×#41C2311yescharacteristic
147C2×C11×#41C2311yescharacteristic, complemented
148C22×D4×C11—22no—
149C22×D4×C11—21no—
150C22×D4×C11C2312yes—
151C22×D4×C11C2311yescharacteristic
152C22×C22⋊D11—22no—
153C22×C22⋊D11—22no—
154C22×C22⋊D11—22no—
155C22×C22⋊D11—22no—
156C22×C22⋊D11—21no—
157#67043—24no—
158#67043—24no—
159#67042—216no—
160#67042—28no—
161#67042—28no—
162#67042—24no—
163#67042—24no—
164#67042—24no—
165#67042D418yescomplemented
166#41×D11—216no—
167#41×D11—24no—
168#41×D11—28no—
169#41×D11—28no—
170#41×D11—24no—
171#41×D11—24no—
172#41×D11—24no—
173C2×#4343—21no—
174C2×#4343D411yescharacteristic
175C2×#4343C2311yescharacteristic
176C2×#4343C2312yes—
177C2×Q8×D11D411yescharacteristic
178C2×Q8×D11C2311yescharacteristic
179C2×Q8×D11C2312yescomplemented
180#67037—232no—
181#67037—216no—
182#67037—28no—
183#67037—28no—
184#67037—24no—
185#67037D418yescomplemented
186C2×#4341—22no—
187C2×#4341—21no—
188C2×#4341—22no—
189C2×#4341—22no—
190C2×#4341—21no—
191C2×#4341D411yescharacteristic
192C2×#4341D412yes—
193C2×#4341C2311yescharacteristic
194C2×#4341C2312yes—
195C2×#4341C2312yescomplemented
196C2×D4×D11—232no—
197C2×D4×D11—216no—
198C2×D4×D11—22no—
199C2×D4×D11—21no—
200C2×D4×D11—22no—
201C2×D4×D11—21no—
202C2×D4×D11—24no—
203C2×D4×D11—22no—
204C2×D4×D11—22no—
205C2×D4×D11—22no—
206C2×D4×D11—28no—
207C2×D4×D11—28no—
208C2×D4×D11—22no—
209C2×D4×D11—21no—
210C2×D4×D11—24no—
211C2×D4×D11—22no—
212C2×D4×D11—21no—
213C2×D4×D11—22no—
214C2×D4×D11—21no—
215C2×D4×D11D412yes—
216C2×D4×D11D411yescharacteristic
217C2×D4×D11C2311yescharacteristic
218C2×D4×D11C2312yes—
219C2×D4×D11C2312yes—
220C2×D4×D11C2312yes—
221C2×D4×D11C2312yes—
222C2×#4339—21no—
223C2×#4339—22no—
224C2×#4339—21no—
225C2×#4339—22no—
226C2×#4339—21no—
227C2×#4339C2312yes—
228C2×#4339C2311yescharacteristic
229C2×#4339C2312yes—
230C2×#4339C2311yescharacteristic
231C22×D44—22no—
232C22×D44—21no—
233C22×D44C2312yes—
234C22×D44C2311yescharacteristic
235C22×C4×D11—22no—
236C22×C4×D11—21no—
237C22×C4×D11C2311yescharacteristic
238C22×C4×D11C2312yes—
239C22×Dic22—21no—
240C22×Dic22C2311yescharacteristic, complemented
241C11×AGL(1,ℤ/8)—24no—
242C11×#135—24no—
243C2×C11×Q16C2311yescharacteristic, complemented
244C2×C11×SD16C2311yescharacteristic, complemented
245C2×C11×SD16C2312yescomplemented
246C2×C11×SD16C2311yescharacteristic, complemented
247C2×C11×D8C2312yescomplemented
248C2×C11×D8C2311yescharacteristic, complemented
249C2×C11×M16C2311yescharacteristic, complemented
250C22×C8×C11C2311yescharacteristic, complemented
251C11×C22⋊Q8—21no—
252C11×C22⋊Q8C2312yescomplemented
253C11×#121—21no—
254C11×#121—22no—
255C11×#121C2312yescomplemented
256C2×C11×C4⋊C4C2311yescharacteristic, complemented
257#67004—24no—
258#67003—24no—
259#67002—24no—
260#66999C2311yescharacteristic
261#66999C2311yescharacteristic, complemented
262#66997—21no—
263C2×#4326C2311yescharacteristic, complemented
264C2×#4326C2312yescomplemented
265C2×#4325C2311yescharacteristic, complemented
266C2×#4325C2312yescomplemented
267#66992—22no—
268#66991—22no—
269#66991C2311yescharacteristic
270#66991C2311yescharacteristic, complemented
271#66990—21no—
272#66990—22no—
273#66989—21no—
274#66988—22no—
275#66988—21no—
276D4×Dic11—22no—
277C2×#4324—24no—
278C2×#4324C2311yescharacteristic, complemented
279C2×#4324C2312yescomplemented
280C2×#4324C2312yescomplemented
281C2×#4324C2312yescomplemented
282C2×#4323C2312yescomplemented
283C2×#4323C2311yescharacteristic, complemented
284C4×C22⋊D11—22no—
285C4×C22⋊D11—21no—
286C4×C22⋊D11—21no—
287C2×(C2×D11)⋊C4—21no—
288#66979C2311yescharacteristic, complemented
289C2×C4⋊Dic11—21no—
290#66977C2312yescomplemented
291#66977C2312yescomplemented
292C2×#4318C2311yescharacteristic, complemented
293C22×C11⋊C8C2311yescharacteristic, complemented
294#66971—28no—
295#66969—28no—
296#66968—28no—
297SD16×D11—28no—
298SD16×D11—28no—
299#66965—28no—
300#66964—28no—
301#66964—28no—
302#66962—24no—
303#66960—24no—
304C2×Dic44C2312yescomplemented
305C2×#4314—24no—
306C2×#4314C2312yescomplemented
307C2×#4314C2312yescomplemented
308C2×#4314C2312yescomplemented
309#66954—24no—
310C2×#4313C2312yescomplemented
311C2×#4313C2312yescomplemented
312C2×C8×D11C2312yescomplemented
313C2×C8×D11C2312yescomplemented
314#66950—21no—
315#66950—21no—
316#66950C2312yes—
317#66950C2312yescomplemented
318#66949—22no—
319#66947—22no—
320#66946—21no—
321#66945C2312yescomplemented
322C4⋊C4×D11—22no—
323C4⋊C4×D11C2312yescomplemented
324#66941—22no—
325#66940—21no—
326#66938—22no—
327#66937—22no—
328#66936—22no—
329#66936—22no—
330(C22⋊D11)⋊C4—22no—
331C22⋊C4×D11—22no—
332#66931—22no—
333#66931—22no—
334C11×#103C2312yescomplemented
335C11×#102C2312yescomplemented
336C11×#102C2312yescomplemented
337C11×#102C2312yescomplemented
338C11×C22⋊C8C2312yescomplemented
339C11×C22⋊C8C2312yescomplemented
340#66899C2311yescharacteristic, complemented
341#66899C2311yescharacteristic, complemented
342#66896C2312yescomplemented
343#66896C2312yescomplemented
344#66896C2311yescharacteristic, complemented
345#66896C2311yescharacteristic, complemented
346C22⋊(C11⋊C8)C2312yescomplemented
347C22⋊(C11⋊C8)C2312yescomplemented
348#66885C2311yescharacteristic, complemented
349#66885C2311yescharacteristic, complemented
350#66885C2312yescomplemented
351#66885C2312yescomplemented
352(C2×D11)⋊C8C2311yescharacteristic
353(C2×D11)⋊C8C2311yescharacteristic
354(C2×D11)⋊C8C2312yes—
355(C2×D11)⋊C8C2311yescharacteristic, complemented
356(C2×D11)⋊C8C2311yescharacteristic, complemented
357(C2×D11)⋊C8C2312yescomplemented
358#66880C2311yescharacteristic, complemented
359#66880C2311yescharacteristic, complemented
360#66874C2312yescomplemented
361#66873C2312yescomplemented
362#66873C2312yescomplemented
363#66873C2312yescomplemented
364#60373—111nomaximal, Sylow
365C24×C11—22no—
366C24×C11—21no—
367C23×D11—28no—
368C23×D11—216no—
369C23×D11—22no—
370C23×D11—21no—
371C23×D11—22no—
372C23×D11—21no—
373C23×D11—22no—
374C23×D11—22no—
375C23×D11—22no—
376C23×D11—84no—
377C23×D11—82no—
378C23×D11—84no—
379C23×D11—82no—
380C23×D11C2×D412yes—
381C23×D11C2×D411yescharacteristic
382C11×#41—28no—
383C11×#41—24no—
384C11×#41—24no—
385C11×#41—22no—
386C11×#41—22no—
387C11×#41—22no—
388C11×#41—22no—
389C11×#41—22no—
390C11×#41C2×D414yes—
391C2×Q8×C11C2×D411yescharacteristic
392C2×Q8×C11C2411yescharacteristic
393C2×Q8×C11C2411yescharacteristic
394C2×D4×C11—216no—
395C2×D4×C11—28no—
396C2×D4×C11—22no—
397C2×D4×C11—21no—
398C2×D4×C11—24no—
399C2×D4×C11—24no—
400C2×D4×C11—21no—
401C2×D4×C11—22no—
402C2×D4×C11—22no—
403C2×D4×C11—21no—
404C2×D4×C11—22no—
405C2×D4×C11C2×D412yes—
406C2×D4×C11C2×D411yescharacteristic
407C2×D4×C11C2×D414yes—
408C2×D4×C11C2411yescharacteristic
409C2×D4×C11C2412yes—
410C2×D4×C11C2411yescharacteristic
411C22×C4×C11—22no—
412C22×C4×C11—21no—
413C22×C4×C11—21no—
414C22×C4×C11—21no—
415C22×C4×C11C2412yes—
416C22×C4×C11C2411yescharacteristic
417C2×C22⋊D11—216no—
418C2×C22⋊D11—216no—
419C2×C22⋊D11—28no—
420C2×C22⋊D11—216no—
421C2×C22⋊D11—216no—
422C2×C22⋊D11—22no—
423C2×C22⋊D11—21no—
424C2×C22⋊D11—22no—
425C2×C22⋊D11—22no—
426C2×C22⋊D11—22no—
427C2×C22⋊D11—22no—
428C2×C22⋊D11—21no—
429C2×C22⋊D11—21no—
430C2×C22⋊D11—22no—
431C2×C22⋊D11—21no—
432C2×C22⋊D11—22no—
433C2×C22⋊D11—21no—
434C2×C22⋊D11C2×D412yes—
435C2×C22⋊D11C2×D412yes—
436C2×C22⋊D11C2×D412yes—
437C22×Dic11—21no—
438C22×Dic11—22no—
439C22×Dic11—22no—
440C22×Dic11—21no—
441C22×Dic11C2×D412yes—
442C22×Dic11C2×D411yescharacteristic
443#4343—28no—
444#4343—24no—
445#4343—22no—
446#4343—24no—
447#4343—22no—
448#4343C2×D418yes—
449Q8×D11—24no—
450Q8×D11—22no—
451Q8×D11—24no—
452Q8×D11—24no—
453Q8×D11—22no—
454#4341—216no—
455#4341—216no—
456#4341—28no—
457#4341—28no—
458#4341—24no—
459#4341—24no—
460#4341—24no—
461#4341—28no—
462#4341—24no—
463#4341—22no—
464#4341—22no—
465#4341—48no—
466#4341C2×D418yes—
467D4×D11—216no—
468D4×D11—216no—
469D4×D11—28no—
470D4×D11—28no—
471D4×D11—216no—
472D4×D11—216no—
473D4×D11—216no—
474D4×D11—216no—
475D4×D11—216no—
476D4×D11—28no—
477D4×D11—28no—
478D4×D11—28no—
479D4×D11—216no—
480D4×D11—24no—
481D4×D11—28no—
482D4×D11—22no—
483D4×D11—24no—
484D4×D11—24no—
485D4×D11—24no—
486D4×D11—24no—
487D4×D11—24no—
488D4×D11—22no—
489D4×D11—24no—
490D4×D11C2×D418yes—
491D4×D11C2×D418yes—
492#4339—216no—
493#4339—216no—
494#4339—28no—
495#4339—24no—
496#4339—24no—
497#4339—24no—
498#4339—28no—
499#4339—24no—
500#4339—22no—
501#4339—44no—
502#4339C2×D414yes—
503#4339C2×D414yes—
504#4339C2×D414yes—
505C2×D44—216no—
506C2×D44—28no—
507C2×D44—24no—
508C2×D44—24no—
509C2×D44—21no—
510C2×D44—22no—
511C2×D44—22no—
512C2×D44—21no—
513C2×D44—22no—
514C2×D44C2×D414yes—
515C2×D44C2×D412yes—
516C2×D44C2×D411yescharacteristic
517C2×D44C2411yescharacteristic
518C2×D44C2412yes—
519C2×C4×D11—216no—
520C2×C4×D11—28no—
521C2×C4×D11—21no—
522C2×C4×D11—22no—
523C2×C4×D11—24no—
524C2×C4×D11—24no—
525C2×C4×D11—21no—
526C2×C4×D11—22no—
527C2×C4×D11—22no—
528C2×C4×D11—22no—
529C2×C4×D11—21no—
530C2×C4×D11—22no—
531C2×C4×D11—22no—
532C2×C4×D11C2×D412yes—
533C2×C4×D11C2×D412yes—
534C2×C4×D11C2×D411yescharacteristic
535C2×C4×D11C2×D411yescharacteristic
536C2×C4×D11C2411yescharacteristic
537C2×C4×D11C2411yescharacteristic
538C2×C4×D11C2412yes—
539C2×Dic22—21no—
540C2×Dic22—22no—
541C2×Dic22—22no—
542C2×Dic22—22no—
543C2×Dic22—21no—
544C2×Dic22—44no—
545C2×Dic22C2×D412yes—
546C2×Dic22C2×D411yescharacteristic
547C2×Dic22C2412yes—
548C2×Dic22C2411yescharacteristic
549C11×Q16—22no—
550C11×SD16—22no—
551C11×SD16—22no—
552C11×SD16—24no—
553C11×D8—22no—
554C11×D8—24no—
555C11×M16—22no—
556C2×C8×C11—22no—
557C2×C8×C11C2411yescharacteristic
558C2×C8×C11C2411yescharacteristic
559C2×C8×C11C2412yes—
560C11×C4⋊C4—21no—
561C11×C4⋊C4—22no—
562C11×C4⋊C4C2412yes—
563C11×C22⋊C4—22no—
564C11×C22⋊C4—22no—
565C22⋊Dic11—21no—
566C22⋊Dic11—21no—
567C22⋊Dic11—22no—
568C22⋊Dic11—22no—
569C22⋊Dic11—21no—
570#4326—22no—
571#4326—24no—
572#4325—22no—
573#4325—24no—
574#4324—22no—
575#4324—24no—
576#4324—24no—
577#4324—24no—
578#4323—22no—
579#4323—24no—
580(C2×D11)⋊C4—21no—
581(C2×D11)⋊C4—22no—
582(C2×D11)⋊C4—22no—
583(C2×D11)⋊C4—22no—
584(C2×D11)⋊C4—21no—
585C4⋊Dic11—22no—
586C4⋊Dic11—22no—
587C4⋊Dic11C2411yescharacteristic
588C4⋊Dic11C2411yescharacteristic
589Dic11⋊C4—22no—
590Dic11⋊C4—21no—
591Dic11⋊C4—21no—
592Dic11⋊C4—22no—
593Dic11⋊C4—22no—
594C4×Dic11—22no—
595C4×Dic11—21no—
596#4318—22no—
597C2×C11⋊C8—22no—
598C2×C11⋊C8C2411yescharacteristic
599C2×C11⋊C8C2411yescharacteristic
600C2×C11⋊C8C2412yes—
601Dic44—24no—
602#4314—24no—
603#4314—24no—
604#4314—24no—
605#4313—24no—
606#4313—24no—
607C8×D11—24no—
608C8×D11—24no—
609C22×H(5,𝔽2)—111no—
610C2×#577—111no—
611C2×#577—111no—
612#3489—111no—
613#3012—112no—
614#3012—112no—
615#3012—111no—
616#3012D1111yescharacteristic, complemented
617#3009—112no—
618#3009—112no—
619#3009—111no—
620#3009—111no—
621#3007—112no—
622#3007—111no—
623#3003—112no—
624#3003—111no—
625#3002—112no—
626#3002—111no—
627C2×#450—112no—
628C2×#450—111no—
629#2897—111no—
630#2897—111no—
631#2880—111no—
632C23×C11—28no—
633C23×C11—22no—
634C23×C11—21no—
635C23×C11—24no—
636C23×C11—21no—
637C23×C11—81no—
638C23×C11—81no—
639C23×C11—82no—
640C23×C11—82no—
641C23×C11C22×D412yes—
642C23×C11C22×D411yescharacteristic
643C22×D11—28no—
644C22×D11—24no—
645C22×D11—22no—
646C22×D11—22no—
647C22×D11—21no—
648C22×D11—28no—
649C22×D11—28no—
650C22×D11—24no—
651C22×D11—24no—
652C22×D11—24no—
653C22×D11—22no—
654C22×D11—28no—
655C22×D11—28no—
656C22×D11—42no—
657C22×D11—41no—
658C22×D11—42no—
659C22×D11—44no—
660C22×D11—42no—
661C22×D11—44no—
662C22×D11—82no—
663C22×D11—82no—
664C22×D11—82no—
665C22×D11—82no—
666C22×D11—82no—
667C22×D11—82no—
668C22×D11—832no—
669C22×D11—816no—
670C22×D11—81no—
671C22×D11—82no—
672C22×D11—81no—
673C22×D11—82no—
674C22×D11C22×D411yescharacteristic
675C22×D11C22×D412yes—
676C22×D11C22×D411yescharacteristic
677Q8×C11—22no—
678Q8×C11—21no—
679Q8×C11—21no—
680Q8×C11—21no—
681Q8×C11C22×D412yes—
682D4×C11—28no—
683D4×C11—28no—
684D4×C11—24no—
685D4×C11—24no—
686D4×C11—22no—
687D4×C11—24no—
688D4×C11—22no—
689D4×C11—21no—
690D4×C11—21no—
691D4×C11—21no—
692D4×C11—42no—
693D4×C11—82no—
694D4×C11C22×D414yes—
695D4×C11C22×D412yes—
696C2×C4×C11—28no—
697C2×C4×C11—21no—
698C2×C4×C11—24no—
699C2×C4×C11—22no—
700C2×C4×C11—22no—
701C2×C4×C11—22no—
702C2×C4×C11—21no—
703C2×C4×C11—42no—
704C2×C4×C11—81no—
705C2×C4×C11C22×D412yes—
706C2×C4×C11C22×D411yescharacteristic
707C2×C4×C11C22×D412yes—
708C2×C4×C11C22×D412yes—
709C2×C4×C11C2511yescharacteristic
710C22⋊D11—28no—
711C22⋊D11—28no—
712C22⋊D11—24no—
713C22⋊D11—28no—
714C22⋊D11—24no—
715C22⋊D11—24no—
716C22⋊D11—24no—
717C22⋊D11—28no—
718C22⋊D11—24no—
719C22⋊D11—28no—
720C22⋊D11—28no—
721C22⋊D11—44no—
722C22⋊D11—42no—
723C22⋊D11—81no—
724C22⋊D11#12018yes—
725C2×Dic11—24no—
726C2×Dic11—22no—
727C2×Dic11—21no—
728C2×Dic11—24no—
729C2×Dic11—28no—
730C2×Dic11—21no—
731C2×Dic11—21no—
732C2×Dic11—22no—
733C2×Dic11—42no—
734C2×Dic11—44no—
735C2×Dic11C22×D411yescharacteristic
736C2×Dic11C22×D411yescharacteristic
737C2×Dic11C22×D412yes—
738D44—24no—
739D44—28no—
740D44—28no—
741D44—24no—
742D44—24no—
743D44—21no—
744D44—22no—
745D44#12014yes—
746D44C22×D412yes—
747D44C22×D414yes—
748C4×D11—24no—
749C4×D11—24no—
750C4×D11—28no—
751C4×D11—24no—
752C4×D11—22no—
753C4×D11—24no—
754C4×D11—22no—
755C4×D11—21no—
756C4×D11—21no—
757C4×D11—21no—
758C4×D11—21no—
759C4×D11—24no—
760C4×D11—28no—
761C4×D11—44no—
762C4×D11—82no—
763C4×D11C22×D414yes—
764C4×D11C22×D414yes—
765Dic22—24no—
766Dic22—21no—
767Dic22—24no—
768Dic22—22no—
769Dic22—22no—
770Dic22—42no—
771Dic22—44no—
772Dic22#12014yes—
773Dic22C22×D412yes—
774C8×C11—21no—
775C8×C11—22no—
776C8×C11—21no—
777C11⋊C8—21no—
778C11⋊C8—22no—
779C11⋊C8—21no—
780C2×2−1+4—111no—
781C2×H(5,𝔽2)—111no—
782C2×H(5,𝔽2)—112no—
783C2×H(5,𝔽2)—111no—
784C2×H(5,𝔽2)—111no—
785C2×H(5,𝔽2)—112no—
786C2×H(5,𝔽2)—222no—
787C2×H(5,𝔽2)—221no—
788C2×H(5,𝔽2)—221no—
789C2×H(5,𝔽2)—228no—
790C2×H(5,𝔽2)—228no—
791C2×H(5,𝔽2)C2×D1111yescharacteristic
792C22×#41—111no—
793C22×#41—112no—
794C22×#41—111no—
795C22×#41—221no—
796C23×D4—112no—
797C23×D4—111no—
798C23×D4—222no—
799C23×D4—221no—
800#577—228no—
801#577—228no—
802C2×#137—111no—
803C2×#137—112no—
804C2×#137—112no—
805C2×#137—111no—
806C2×AGL(1,ℤ/8)—111no—
807C2×AGL(1,ℤ/8)—112no—
808C2×AGL(1,ℤ/8)—112no—
809C2×AGL(1,ℤ/8)C2×D1111yescharacteristic, complemented
810C2×#135—111no—
811C2×#135—112no—
812C2×#135—112no—
813C2×#135C2×D1111yescharacteristic, complemented
814C22×SD16—111no—
815C22×SD16—112no—
816C22×SD16—112no—
817C22×SD16—111no—
818C2×#131—111no—
819C2×#131—111no—
820D4×Q8—221no—
821#548—221no—
822#547—222no—
823#547—221no—
824#546—222no—
825#546—221no—
826#537—112no—
827#537C2×D1111yescharacteristic, complemented
828#536—111no—
829#536—112no—
830#525—111no—
831#525—112no—
832C2×C22⋊Q8—112no—
833C2×C22⋊Q8—111no—
834#520—111no—
835#452—112no—
836#452—112no—
837#452—111no—
838#452—111no—
839#452—112no—
840#452—112no—
841#452—112no—
842#452—112no—
843#452—112no—
844#452C2×D1112yescomplemented
845#451—111no—
846#451—112no—
847#450—112no—
848#450—112no—
849#450—111no—
850#450—112no—
851#450—112no—
852#450—112no—
853#450—112no—
854#450—112no—
855#450—112no—
856#450—112no—
857#450—112no—
858#450—112no—
859#450—112no—
860#450C2×D1112yescomplemented
861#449—111no—
862#449—111no—
863#449—112no—
864#449C2×D1112yescomplemented
865#448—111no—
866#447—112no—
867#447—111no—
868#447—112no—
869#447—112no—
870#447C2×D1112yescomplemented
871#418—111no—
872#418—111no—
873#418—112no—
874#418—112no—
875#417—111no—
876#417—112no—
877#417—112no—
878#417C2×D1111yescharacteristic, complemented
879#416—111no—
880#416—111no—
881#416—112no—
882#416—112no—
883C2×#102—111no—
884C2×#102—112no—
885C2×#102—112no—
886C2×#102C2×D1111yescharacteristic, complemented
887#408—111no—
888#408—112no—
889#408—112no—
890#408C2×D1111yescharacteristic, complemented
891#407—111no—
892#407—112no—
893C2×C22⋊C8—111no—
894C2×C22⋊C8—112no—
895C22×C11—21no—
896C22×C11—21no—
897C22×C11—22no—
898C22×C11—22no—
899C22×C11—24no—
900C22×C11—22no—
901C22×C11—22no—
902C22×C11—41no—
903C22×C11—42no—
904C22×C11—41no—
905C22×C11—42no—
906C22×C11—41no—
907C22×C11—41no—
908C22×C11—41no—
909C22×C11—84no—
910C22×C11—88no—
911C22×C11C2×#12012yes—
912C22×C11C23×D411yescharacteristic
913C2×D11—21no—
914C2×D11—22no—
915C2×D11—21no—
916C2×D11—22no—
917C2×D11—21no—
918C2×D11—24no—
919C2×D11—22no—
920C2×D11—21no—
921C2×D11—21no—
922C2×D11—48no—
923C2×D11—44no—
924C2×D11—48no—
925C2×D11—416no—
926C2×D11—41no—
927C2×D11—42no—
928C2×D11—41no—
929C2×D11—42no—
930C2×D11—88no—
931C2×D11—88no—
932C2×D11—84no—
933C2×D11—88no—
934C2×D11—88no—
935C2×D11C2×#12014yes—
936C2×D11#57712yescomplemented
937C4×C11—22no—
938C4×C11—22no—
939C4×C11—42no—
940C4×C11—41no—
941C4×C11C2×#12012yes—
942C4×C11C23×D411yescharacteristic
943C4×C11C23×D411yescharacteristic
944Dic11—21no—
945Dic11—21no—
946Dic11—22no—
947Dic11—41no—
948Dic11—42no—
949Dic11—41no—
950Dic11C2×#12014yes—
951C25—222no—
952C25—221no—
9532−1+4—224no—
9542−1+4—224no—
955H(5,𝔽2)—24no—
956H(5,𝔽2)—24no—
957H(5,𝔽2)—118no—
958H(5,𝔽2)—118no—
959H(5,𝔽2)—228no—
960H(5,𝔽2)—228no—
961H(5,𝔽2)—224no—
962H(5,𝔽2)—2232no—
963H(5,𝔽2)—2216no—
964H(5,𝔽2)—228no—
965H(5,𝔽2)—224no—
966H(5,𝔽2)—224no—
967H(5,𝔽2)—228no—
968H(5,𝔽2)—224no—
969H(5,𝔽2)—2216no—
970C2×#41—21no—
971C2×#41—111no—
972C2×#41—112no—
973C2×#41—111no—
974C2×#41—111no—
975C2×#41—112no—
976C2×#41—112no—
977C2×#41—111no—
978C2×#41—112no—
979C2×#41—112no—
980C2×#41—111no—
981C2×#41—111no—
982C2×#41—112no—
983C2×#41—222no—
984C2×#41—221no—
985C2×#41—221no—
986C2×#41—221no—
987C2×#41—222no—
988C2×#41—221no—
989C2×#41—222no—
990C2×#41—222no—
991C2×#41—221no—
992C2×#41—222no—
993C2×#41—224no—
994C2×#41—224no—
995C2×#41—228no—
996C2×#41—228no—
997C2×#41—224no—
998C2×#41—2216no—
999C2×#41—224no—
1000C2×#41—221no—
1001C2×#41C22×D1112yes—
1002C2×#41C22×D1111yescharacteristic
1003C2×#41C22×D1111yescharacteristic
1004C2×#41C22×D1111yescharacteristic, complemented
1005C22×Q8—111no—
1006C22×Q8—112no—
1007C22×Q8—111no—
1008C22×Q8—111no—
1009C22×Q8—221no—
1010C22×D4—22no—
1011C22×D4—21no—
1012C22×D4—112no—
1013C22×D4—112no—
1014C22×D4—112no—
1015C22×D4—111no—
1016C22×D4—111no—
1017C22×D4—112no—
1018C22×D4—112no—
1019C22×D4—111no—
1020C22×D4—112no—
1021C22×D4—221no—
1022C22×D4—222no—
1023C22×D4—222no—
1024C22×D4—221no—
1025C22×D4—222no—
1026C22×D4—221no—
1027C22×D4—221no—
1028C22×D4—222no—
1029C22×D4—228no—
1030C22×D4—228no—
1031C22×D4—224no—
1032C22×D4—222no—
1033C22×D4—222no—
1034C22×D4—222no—
1035C22×D4—221no—
1036C22×D4—222no—
1037C22×D4—222no—
1038C22×D4—221no—
1039C22×D4—2216no—
1040C22×D4—2232no—
1041C22×D4—222no—
1042C22×D4—222no—
1043C22×D4—222no—
1044C22×D4—224no—
1045C22×D4—222no—
1046C22×D4—221no—
1047C22×D4C22×D1112yes—
1048C22×D4C22×D1111yescharacteristic
1049C23×C4—112no—
1050C23×C4—111no—
1051C23×C4—222no—
1052C23×C4—221no—
1053#137—224no—
1054#137—228no—
1055#137—228no—
1056#137—224no—
1057AGL(1,ℤ/8)—24no—
1058AGL(1,ℤ/8)—228no—
1059AGL(1,ℤ/8)—228no—
1060AGL(1,ℤ/8)—224no—
1061#135—24no—
1062#135—228no—
1063#135—228no—
1064#135—224no—
1065C2×Q16—111no—
1066C2×Q16—112no—
1067C2×Q16—112no—
1068C2×Q16C22×D1111yescharacteristic, complemented
1069C2×SD16—111no—
1070C2×SD16—112no—
1071C2×SD16—112no—
1072C2×SD16—112no—
1073C2×SD16—112no—
1074C2×SD16—111no—
1075C2×SD16—112no—
1076C2×SD16—112no—
1077C2×SD16—112no—
1078C2×SD16—224no—
1079C2×SD16—228no—
1080C2×SD16—228no—
1081C2×SD16—224no—
1082C2×SD16C22×D1111yescharacteristic, complemented
1083C2×SD16C22×D1112yescomplemented
1084C2×SD16C22×D1111yescharacteristic, complemented
1085C2×D8—111no—
1086C2×D8—112no—
1087C2×D8C22×D1112yescomplemented
1088C2×D8C22×D1111yescharacteristic, complemented
1089#131—224no—
1090#131—224no—
1091C2×M16—111no—
1092C2×M16—112no—
1093C2×M16—112no—
1094C2×M16C22×D1111yescharacteristic, complemented
1095C22×C8—111no—
1096C22×C8—112no—
1097C22×C8—112no—
1098C22×C8C22×D1111yescharacteristic, complemented
1099C4⋊Q8—222no—
1100C4⋊Q8—221no—
1101#124—222no—
1102#124—221no—
1103#123—222no—
1104#123—222no—
1105#123—222no—
1106#123—221no—
1107#123—222no—
1108C22⋊Q8—21no—
1109C22⋊Q8—111no—
1110C22⋊Q8—111no—
1111C22⋊Q8—112no—
1112C22⋊Q8—112no—
1113C22⋊Q8—112no—
1114C22⋊Q8—112no—
1115C22⋊Q8—222no—
1116C22⋊Q8—222no—
1117C22⋊Q8—222no—
1118C22⋊Q8—221no—
1119C22⋊Q8—221no—
1120C22⋊Q8C22×D1112yescomplemented
1121#121—22no—
1122#121—21no—
1123#121—111no—
1124#121—111no—
1125#121—222no—
1126#121—222no—
1127#121—222no—
1128#121C22×D1112yescomplemented
1129#120—222no—
1130#120—221no—
1131C4×Q8—221no—
1132C4×D4—222no—
1133C4×D4—221no—
1134C4×D4—221no—
1135C4×D4—221no—
1136C4×D4—222no—
1137C4×D4—222no—
1138#117—111no—
1139#117—112no—
1140C2×C4⋊C4—112no—
1141C2×C4⋊C4—222no—
1142C2×C4⋊C4—221no—
1143C2×C4⋊C4C22×D1111yescharacteristic, complemented
1144C2×C22⋊C4—222no—
1145C2×C22⋊C4—221no—
1146#103—111no—
1147#103—111no—
1148#103—111no—
1149#103—111no—
1150#103—112no—
1151#103C22×D1112yescomplemented
1152#102—111no—
1153#102—112no—
1154#102—112no—
1155#102—111no—
1156#102—111no—
1157#102—112no—
1158#102—112no—
1159#102—111no—
1160#102—112no—
1161#102—112no—
1162#102—112no—
1163#102C22×D1112yescomplemented
1164#102C22×D1112yescomplemented
1165#102C22×D1112yescomplemented
1166C22⋊C8—112no—
1167C22⋊C8—112no—
1168C22⋊C8—111no—
1169C22⋊C8—112no—
1170C22⋊C8—111no—
1171C22⋊C8—111no—
1172C22⋊C8—111no—
1173C22⋊C8—112no—
1174C22⋊C8C22×D1112yescomplemented
1175C22⋊C8C22×D1112yescomplemented
1176C2×C11—22no—
1177C2×C11—42no—
1178C2×C11—42no—
1179C2×C11—44no—
1180C2×C11—81no—
1181C2×C11C22×#12011yescharacteristic
1182C2×C11C2×#57711yescharacteristic
1183C2×C11#358511yescharacteristic
1184D11—22no—
1185D11—24no—
1186D11—41no—
1187D11—42no—
1188D11—44no—
1189C24—22no—
1190C24—21no—
1191C24—112no—
1192C24—111no—
1193C24—221no—
1194C24—222no—
1195C24—222no—
1196C24—222no—
1197C24—222no—
1198C24—2216no—
1199C24—228no—
1200C24—222no—
1201C24—221no—
1202C24—882no—
1203C24—884no—
1204C24—882no—
1205C24—884no—
1206#41—28no—
1207#41—24no—
1208#41—24no—
1209#41—22no—
1210#41—22no—
1211#41—22no—
1212#41—22no—
1213#41—22no—
1214#41—114no—
1215#41—114no—
1216#41—118no—
1217#41—118no—
1218#41—114no—
1219#41—224no—
1220#41—224no—
1221#41—224no—
1222#41—224no—
1223#41—228no—
1224#41—2216no—
1225#41—2216no—
1226#41—228no—
1227#41—224no—
1228#41—224no—
1229#41—224no—
1230#41—224no—
1231#41—228no—
1232#41—224no—
1233#41—222no—
1234#41—228no—
1235#41—2216no—
1236#41—2216no—
1237#41—228no—
1238#41—224no—
1239#41—222no—
1240#41—228no—
1241#41—222no—
1242#41—222no—
1243#41—222no—
1244#41—444no—
1245#41—448no—
1246#41D4×D1114yes—
1247C2×Q8—111no—
1248C2×Q8—112no—
1249C2×Q8—111no—
1250C2×Q8—112no—
1251C2×Q8—221no—
1252C2×Q8—222no—
1253C2×Q8—224no—
1254C2×Q8—224no—
1255C2×Q8—224no—
1256C2×Q8—222no—
1257C2×Q8—222no—
1258C2×Q8—221no—
1259C2×Q8—222no—
1260C2×Q8—222no—
1261C2×Q8—444no—
1262C2×Q8D4×D1111yescharacteristic
1263C2×Q8C23×D1111yescharacteristic
1264C2×Q8C23×D1111yescharacteristic
1265C2×D4—216no—
1266C2×D4—28no—
1267C2×D4—22no—
1268C2×D4—21no—
1269C2×D4—24no—
1270C2×D4—24no—
1271C2×D4—21no—
1272C2×D4—22no—
1273C2×D4—22no—
1274C2×D4—21no—
1275C2×D4—22no—
1276C2×D4—112no—
1277C2×D4—118no—
1278C2×D4—118no—
1279C2×D4—112no—
1280C2×D4—112no—
1281C2×D4—111no—
1282C2×D4—114no—
1283C2×D4—112no—
1284C2×D4—111no—
1285C2×D4—112no—
1286C2×D4—224no—
1287C2×D4—224no—
1288C2×D4—228no—
1289C2×D4—222no—
1290C2×D4—221no—
1291C2×D4—2216no—
1292C2×D4—224no—
1293C2×D4—224no—
1294C2×D4—222no—
1295C2×D4—222no—
1296C2×D4—221no—
1297C2×D4—222no—
1298C2×D4—222no—
1299C2×D4—228no—
1300C2×D4—224no—
1301C2×D4—224no—
1302C2×D4—222no—
1303C2×D4—224no—
1304C2×D4—2216no—
1305C2×D4—228no—
1306C2×D4—2216no—
1307C2×D4—2216no—
1308C2×D4—228no—
1309C2×D4—228no—
1310C2×D4—2216no—
1311C2×D4—2216no—
1312C2×D4—2216no—
1313C2×D4—2216no—
1314C2×D4—2216no—
1315C2×D4—228no—
1316C2×D4—228no—
1317C2×D4—2216no—
1318C2×D4—222no—
1319C2×D4—221no—
1320C2×D4—2216no—
1321C2×D4—2216no—
1322C2×D4—2216no—
1323C2×D4—228no—
1324C2×D4—222no—
1325C2×D4—221no—
1326C2×D4—222no—
1327C2×D4—224no—
1328C2×D4—224no—
1329C2×D4—221no—
1330C2×D4—222no—
1331C2×D4—221no—
1332C2×D4—222no—
1333C2×D4—221no—
1334C2×D4—222no—
1335C2×D4D4×D1112yes—
1336C2×D4D4×D1111yescharacteristic
1337C2×D4D4×D1114yes—
1338C2×D4C23×D1111yescharacteristic
1339C2×D4C23×D1111yescharacteristic
1340C2×D4C23×D1112yes—
1341C22×C4—22no—
1342C22×C4—21no—
1343C22×C4—21no—
1344C22×C4—21no—
1345C22×C4—112no—
1346C22×C4—111no—
1347C22×C4—112no—
1348C22×C4—112no—
1349C22×C4—112no—
1350C22×C4—111no—
1351C22×C4—111no—
1352C22×C4—111no—
1353C22×C4—111no—
1354C22×C4—224no—
1355C22×C4—224no—
1356C22×C4—222no—
1357C22×C4—221no—
1358C22×C4—221no—
1359C22×C4—2216no—
1360C22×C4—228no—
1361C22×C4—222no—
1362C22×C4—222no—
1363C22×C4—222no—
1364C22×C4—221no—
1365C22×C4—222no—
1366C22×C4—222no—
1367C22×C4—222no—
1368C22×C4—222no—
1369C22×C4—221no—
1370C22×C4—221no—
1371C22×C4C23×D1112yes—
1372C22×C4C23×D1111yescharacteristic
1373Q16—22no—
1374Q16—224no—
1375Q16—222no—
1376Q16—224no—
1377SD16—22no—
1378SD16—22no—
1379SD16—24no—
1380SD16—224no—
1381SD16—224no—
1382SD16—224no—
1383SD16—222no—
1384SD16—222no—
1385SD16—224no—
1386SD16—224no—
1387SD16—224no—
1388SD16—224no—
1389D8—22no—
1390D8—24no—
1391D8—222no—
1392D8—224no—
1393M16—22no—
1394M16—224no—
1395M16—224no—
1396M16—222no—
1397C2×C8—22no—
1398C2×C8—111no—
1399C2×C8—112no—
1400C2×C8—111no—
1401C2×C8—224no—
1402C2×C8—224no—
1403C2×C8—222no—
1404C2×C8C23×D1112yes—
1405C2×C8C23×D1111yescharacteristic
1406C2×C8C23×D1111yescharacteristic
1407C4⋊C4—22no—
1408C4⋊C4—21no—
1409C4⋊C4—111no—
1410C4⋊C4—111no—
1411C4⋊C4—222no—
1412C4⋊C4—221no—
1413C4⋊C4—222no—
1414C4⋊C4—222no—
1415C4⋊C4—221no—
1416C4⋊C4—222no—
1417C4⋊C4—222no—
1418C4⋊C4C23×D1112yes—
1419C22⋊C4—22no—
1420C22⋊C4—22no—
1421C22⋊C4—222no—
1422C22⋊C4—221no—
1423C22⋊C4—222no—
1424C22⋊C4—222no—
1425C22⋊C4—221no—
1426C22⋊C4—221no—
1427C22⋊C4—221no—
1428C22⋊C4—222no—
1429C22⋊C4—221no—
1430C22⋊C4—222no—
1431C42—222no—
1432C42—221no—
1433C11#6037311yescharacteristic, complemented, Sylow
1434C23—28no—
1435C23—22no—
1436C23—21no—
1437C23—24no—
1438C23—21no—
1439C23—81no—
1440C23—81no—
1441C23—82no—
1442C23—82no—
1443C23—111no—
1444C23—112no—
1445C23—111no—
1446C23—224no—
1447C23—222no—
1448C23—224no—
1449C23—228no—
1450C23—228no—
1451C23—228no—
1452C23—224no—
1453C23—228no—
1454C23—228no—
1455C23—222no—
1456C23—222no—
1457C23—221no—
1458C23—224no—
1459C23—441no—
1460C23—442no—
1461C23—444no—
1462C23—442no—
1463C23—444no—
1464C23—442no—
1465C23—881no—
1466C23—881no—
1467C23—882no—
1468C23—882no—
1469C23—882no—
1470C23—882no—
1471C23—882no—
1472C23—882no—
1473C23—882no—
1474C23—882no—
1475C23—8816no—
1476C23—8832no—
1477C23C2×D4×D1112yes—
1478C23C2×D4×D1111yescharacteristic
1479Q8—22no—
1480Q8—21no—
1481Q8—21no—
1482Q8—21no—
1483Q8—114no—
1484Q8—112no—
1485Q8—224no—
1486Q8—224no—
1487Q8—221no—
1488Q8—222no—
1489Q8—222no—
1490Q8—444no—
1491Q8—442no—
1492Q8C2×D4×D1112yes—
1493D4—28no—
1494D4—28no—
1495D4—24no—
1496D4—24no—
1497D4—22no—
1498D4—24no—
1499D4—22no—
1500D4—21no—
1501D4—21no—
1502D4—21no—
1503D4—42no—
1504D4—82no—
1505D4—118no—
1506D4—114no—
1507D4—114no—
1508D4—112no—
1509D4—224no—
1510D4—228no—
1511D4—224no—
1512D4—228no—
1513D4—224no—
1514D4—228no—
1515D4—228no—
1516D4—224no—
1517D4—228no—
1518D4—228no—
1519D4—224no—
1520D4—228no—
1521D4—228no—
1522D4—224no—
1523D4—224no—
1524D4—224no—
1525D4—221no—
1526D4—222no—
1527D4—444no—
1528D4—442no—
1529D4—881no—
1530D4C2×D4×D1112yes—
1531D4C2×D4×D1114yes—
1532C2×C4—28no—
1533C2×C4—21no—
1534C2×C4—24no—
1535C2×C4—22no—
1536C2×C4—22no—
1537C2×C4—22no—
1538C2×C4—21no—
1539C2×C4—42no—
1540C2×C4—81no—
1541C2×C4—112no—
1542C2×C4—114no—
1543C2×C4—114no—
1544C2×C4—111no—
1545C2×C4—111no—
1546C2×C4—224no—
1547C2×C4—228no—
1548C2×C4—224no—
1549C2×C4—224no—
1550C2×C4—224no—
1551C2×C4—228no—
1552C2×C4—224no—
1553C2×C4—228no—
1554C2×C4—224no—
1555C2×C4—222no—
1556C2×C4—221no—
1557C2×C4—222no—
1558C2×C4—222no—
1559C2×C4—224no—
1560C2×C4—221no—
1561C2×C4—221no—
1562C2×C4—221no—
1563C2×C4—221no—
1564C2×C4—221no—
1565C2×C4—221no—
1566C2×C4—222no—
1567C2×C4—444no—
1568C2×C4—444no—
1569C2×C4—442no—
1570C2×C4—882no—
1571C2×C4C2×D4×D1112yes—
1572C2×C4C2×D4×D1111yescharacteristic
1573C2×C4C2×D4×D1112yes—
1574C2×C4C2×D4×D1112yes—
1575C2×C4C24×D1111yescharacteristic
1576C8—21no—
1577C8—21no—
1578C8—22no—
1579C8—221no—
1580C8—222no—
1581C8—221no—
1582C22—21no—
1583C22—21no—
1584C22—22no—
1585C22—24no—
1586C22—22no—
1587C22—22no—
1588C22—22no—
1589C22—42no—
1590C22—41no—
1591C22—42no—
1592C22—41no—
1593C22—41no—
1594C22—41no—
1595C22—41no—
1596C22—84no—
1597C22—88no—
1598C22—114no—
1599C22—112no—
1600C22—221no—
1601C22—222no—
1602C22—222no—
1603C22—221no—
1604C22—224no—
1605C22—222no—
1606C22—221no—
1607C22—221no—
1608C22—221no—
1609C22—444no—
1610C22—448no—
1611C22—4416no—
1612C22—448no—
1613C22—442no—
1614C22—441no—
1615C22—442no—
1616C22—441no—
1617C22—884no—
1618C22—888no—
1619C22—888no—
1620C22—888no—
1621C22—888no—
1622C22D11×#12012yes—
1623C22C22×D4×D1111yescharacteristic
1624C4—22no—
1625C4—22no—
1626C4—41no—
1627C4—42no—
1628C4—114no—
1629C4—221no—
1630C4—221no—
1631C4—222no—
1632C4—442no—
1633C4—441no—
1634C4—441no—
1635C4D11×#12012yes—
1636C4C22×D4×D1111yescharacteristic
1637C4C22×D4×D1111yescharacteristic
1638C2—22no—
1639C2—42no—
1640C2—44no—
1641C2—42no—
1642C2—81no—
1643C2—222no—
1644C2—224no—
1645C2—441no—
1646C2—444no—
1647C2—442no—
1648C2C2×D11×#12011yescharacteristic
1649C2D11×#57711yescharacteristic
1650C2#1308339111yescharacteristic
subgroupG/H
centerC22C22×D4×D11
commutator, cosocleC2×C4×C11C25
FrattiniC2×C4C24×D11
FittingC11×#3012C2
socleC22×C11C23×D4
hypercenter#3012D11
hypocenterC11#60373
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. C2×D11×H(5,𝔽2)C2semidirect
2. C2×#10623306C2semidirect
3. C2×#10623301C2semidirect
4. #13082291C2semidirect
5. #13077918C2semidirect
6. #13077917C2semidirect
7. #13077915C2semidirect
8. #13077895C2semidirect
9. #13077893C2semidirect
10. #13077890C2semidirect
11. #13077888C2semidirect
12. #13077877C2semidirect
13. #13077873C2semidirect
14. #13077841C2semidirect
15. #13077840C2semidirect
16. #13077831C2semidirect
17. #13077830C2semidirect
18. C2×#10622389C2semidirect
19. D11×#450C2semidirect
20. #13077140C2semidirect
21. #13077137C2semidirect
22. #13077064C2semidirect
23. C11×#3012C2semidirect
27. C2×#67043C22semidirect
44. C2×C11×AGL(1,ℤ/8)C22semidirect
45. C2×C11×#135C22semidirect
46. C11×#537C22semidirect
47. #10623359C22semidirect
48. #10623356C22semidirect
49. C2×#67004C22semidirect
50. C2×#67003C22semidirect
51. C2×#67002C22semidirect
52. C22×#4324C22semidirect
55. C2×#66971C22semidirect
56. C2×#66969C22semidirect
57. C2×#66968C22semidirect
58. C2×SD16×D11C22semidirect
59. C2×SD16×D11C22semidirect
60. C2×#66965C22semidirect
61. C2×#66964C22semidirect
62. C2×#66964C22semidirect
63. C2×#66962C22semidirect
64. C2×#66960C22semidirect
65. C22×#4314C22semidirect
66. C2×#66954C22semidirect
69. #10623159C22semidirect
70. D11×C22⋊Q8C22semidirect
74. #10623139C22semidirect
75. #10623137C22semidirect
77. C2×#66950C22semidirect
78. #10623035C22semidirect
79. C11×#452C22semidirect
80. C11×#450C22semidirect
81. C11×#449C22semidirect
82. C11×#447C22semidirect
83. C11×#417C22semidirect
84. C2×C11×#102C22semidirect
85. C11×#408C22semidirect
86. #10622852C22semidirect
87. #10622852C22semidirect
88. #10622847C22semidirect
89. #10622846C22semidirect
90. #10622831C22semidirect
91. #10622831C22semidirect
92. #10622828C22semidirect
93. #10622800C22semidirect
94. #10622799C22semidirect
95. #10622786C22semidirect
96. #10622785C22semidirect
97. #10622783C22semidirect
98. #10622782C22semidirect
99. #10622782C22semidirect
100. #10622782C22semidirect
101. #10622771C22semidirect
102. #10622769C22semidirect
103. #10622769C22semidirect
104. #10622769C22semidirect
105. #10622744C22semidirect
106. #10622739C22semidirect
107. #10622726C22semidirect
108. C2×(C2×D11)⋊C8C22semidirect
109. #10622660C22semidirect
110. #10622659C22semidirect
111. #10622650C22semidirect
112. #10622649C22semidirect
113. #10622579C22semidirect
114. C2×#66873C22semidirect
115. #10622423C22semidirect
116. #10622421C22semidirect
117. #10622417C22semidirect
118. #10622416C22semidirect
119. #10622396C22semidirect
120. #10622389C22semidirect
121. #10622389C22semidirect
122. #10622389C22semidirect
123. #10622389C22semidirect
124. #10622389C22semidirect
125. #10622385C22semidirect
126. #10622384C22semidirect
127. #10622383C22semidirect
128. #10622383C22semidirect
129. D11×#102C22semidirect
130. D11×#102C22semidirect
131. #10622346C22semidirect
132. #10622346C22semidirect
133. #10622344C22semidirect
134. #10622344C22semidirect
135. #10622340C22semidirect
136. #10622340C22semidirect
137. #10622339C22semidirect
138. D11×C22⋊C8C22semidirect
147. C2×C11×#41C23semidirect
165. #67042D4semidirect
179. C2×Q8×D11C23semidirect
185. #67037D4semidirect
195. C2×#4341C23semidirect
240. C22×Dic22C23semidirect
243. C2×C11×Q16C23semidirect
244. C2×C11×SD16C23semidirect
245. C2×C11×SD16C23semidirect
246. C2×C11×SD16C23semidirect
247. C2×C11×D8C23semidirect
248. C2×C11×D8C23semidirect
249. C2×C11×M16C23semidirect
250. C22×C8×C11C23semidirect
252. C11×C22⋊Q8C23semidirect
255. C11×#121C23semidirect
256. C2×C11×C4⋊C4C23semidirect
261. #66999C23semidirect
263. C2×#4326C23semidirect
264. C2×#4326C23semidirect
265. C2×#4325C23semidirect
266. C2×#4325C23semidirect
270. #66991C23semidirect
278. C2×#4324C23semidirect
279. C2×#4324C23semidirect
280. C2×#4324C23semidirect
281. C2×#4324C23semidirect
282. C2×#4323C23semidirect
283. C2×#4323C23semidirect
288. #66979C23semidirect
290. #66977C23semidirect
291. #66977C23semidirect
292. C2×#4318C23semidirect
293. C22×C11⋊C8C23semidirect
304. C2×Dic44C23semidirect
306. C2×#4314C23semidirect
307. C2×#4314C23semidirect
308. C2×#4314C23semidirect
310. C2×#4313C23semidirect
311. C2×#4313C23semidirect
312. C2×C8×D11C23semidirect
313. C2×C8×D11C23semidirect
317. #66950C23semidirect
321. #66945C23semidirect
323. C4⋊C4×D11C23semidirect
334. C11×#103C23semidirect
335. C11×#102C23semidirect
336. C11×#102C23semidirect
337. C11×#102C23semidirect
338. C11×C22⋊C8C23semidirect
339. C11×C22⋊C8C23semidirect
340. #66899C23semidirect
341. #66899C23semidirect
342. #66896C23semidirect
343. #66896C23semidirect
344. #66896C23semidirect
345. #66896C23semidirect
346. C22⋊(C11⋊C8)C23semidirect
347. C22⋊(C11⋊C8)C23semidirect
348. #66885C23semidirect
349. #66885C23semidirect
350. #66885C23semidirect
351. #66885C23semidirect
355. (C2×D11)⋊C8C23semidirect
356. (C2×D11)⋊C8C23semidirect
357. (C2×D11)⋊C8C23semidirect
358. #66880C23semidirect
359. #66880C23semidirect
360. #66874C23semidirect
361. #66873C23semidirect
362. #66873C23semidirect
363. #66873C23semidirect
616. #3012D11semidirect
809. C2×AGL(1,ℤ/8)C2×D11semidirect
813. C2×#135C2×D11semidirect
827. #537C2×D11semidirect
844. #452C2×D11semidirect
860. #450C2×D11semidirect
864. #449C2×D11semidirect
870. #447C2×D11semidirect
878. #417C2×D11semidirect
886. C2×#102C2×D11semidirect
890. #408C2×D11semidirect
936. C2×D11#577semidirect
1004. C2×#41C22×D11semidirect
1068. C2×Q16C22×D11semidirect
1082. C2×SD16C22×D11semidirect
1083. C2×SD16C22×D11semidirect
1084. C2×SD16C22×D11semidirect
1087. C2×D8C22×D11semidirect
1088. C2×D8C22×D11semidirect
1094. C2×M16C22×D11semidirect
1098. C22×C8C22×D11semidirect
1120. C22⋊Q8C22×D11semidirect
1128. #121C22×D11semidirect
1143. C2×C4⋊C4C22×D11semidirect
1151. #103C22×D11semidirect
1163. #102C22×D11semidirect
1164. #102C22×D11semidirect
1165. #102C22×D11semidirect
1174. C22⋊C8C22×D11semidirect
1175. C22⋊C8C22×D11semidirect
1433. C11#60373semidirect

Maximal subgroups

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

subgroupindex
C2×D11×H(5,𝔽2)2
C2×#106233062
C2×#106233012
#130822912
#130779182
#130779172
#130779152
#130778952
#130778932
#130778902
#130778882
#130778772
#130778732
#130778412
#130778402
#130778312
#130778302
C2×#106223892
D11×#4502
#130771402
#130771372
#130770642
C11×#30122
#6037311