Finite Group Databasebeta

← #15620251

Subgroups — #15620251

Order 2816.

5070 conjugacy classes of subgroups.

The subgroup lattice has 1708 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×#10623299C211yesmaximal, characteristic, complemented
3C2×D11×AGL(1,ℤ/8)C211yesmaximal, characteristic, complemented
4#13081944C211yesmaximal, characteristic, complemented
5#13077925C211yesmaximal, characteristic, complemented
6#13077923C211yesmaximal, characteristic, complemented
7#13077922C211yesmaximal, characteristic, complemented
8#13077920C211yesmaximal, characteristic, complemented
9#13077919C211yesmaximal, characteristic, complemented
10#13077917C211yesmaximal, characteristic, complemented
11#13077916C211yesmaximal, characteristic, complemented
12#13077890C212yesmaximal, complemented
13#13077888C212yesmaximal, complemented
14#13077881C212yesmaximal, complemented
15#13077879C212yesmaximal, complemented
16#13077859C212yesmaximal, complemented
17#13077854C212yesmaximal, complemented
18#13077844C212yesmaximal, complemented
19#13077840C212yesmaximal, complemented
20#13077132C211yesmaximal, characteristic, complemented
21C2×#10622383C211yesmaximal, characteristic, complemented
22#13077058C211yesmaximal, characteristic, complemented
23C11×#3012C211yesmaximal, characteristic, complemented
24C2×C11×H(5,𝔽2)C2211yescharacteristic, complemented
25D11×H(5,𝔽2)—28no—
26D11×H(5,𝔽2)—28no—
27C2×#67042—21no—
28C2×#67042C2212yes—
29C2×#67042C2211yescharacteristic, complemented
30C2×#67042C2211yescharacteristic, complemented
31C2×#41×D11—21no—
32C2×#41×D11C2211yescharacteristic
33C2×#41×D11C2211yescharacteristic
34C2×#41×D11C2212yescomplemented
35C2×#41×D11C2211yescharacteristic, complemented
36C2×#67037—21no—
37C2×#67037—22no—
38C2×#67037C2212yes—
39C2×#67037C2211yescharacteristic, complemented
40C22×D4×D11—21no—
41C22×D4×D11—22no—
42C22×D4×D11C2211yescharacteristic
43C22×D4×D11C2212yescomplemented
44C2×C11×AGL(1,ℤ/8)C2211yescharacteristic, complemented
45C2×C11×#135C2211yescharacteristic, complemented
46C11×#537C2211yescharacteristic, complemented
47#10623364C2211yescharacteristic, complemented
48#10623364C2211yescharacteristic, complemented
49C2×#67003C2211yescharacteristic, complemented
50C2×#67003C2211yescharacteristic, complemented
51C2×#67002C2211yescharacteristic, complemented
52C2×#66985C2211yescharacteristic, complemented
53D11×AGL(1,ℤ/8)—28no—
54#10623299—28no—
55C2×#66971C2211yescharacteristic, complemented
56C2×#66971C2211yescharacteristic, complemented
57C2×#66968C2211yescharacteristic, complemented
58C2×#66968C2211yescharacteristic, complemented
59C2×#66967C2211yescharacteristic, complemented
60C2×#66967C2212yescomplemented
61C2×#66967C2211yescharacteristic, complemented
62C2×SD16×D11C2212yescomplemented
63C2×#66964C2211yescharacteristic, complemented
64C2×#66964C2212yescomplemented
65C2×#66964C2211yescharacteristic, complemented
66C2×D8×D11C2212yescomplemented
67C2×#66961C2211yescharacteristic, complemented
68C2×M16×D11C2211yescharacteristic, complemented
69C2×#66957C2211yescharacteristic, complemented
70C22×#4313C2211yescharacteristic, complemented
71#10623159—21no—
72#10623159C2212yescomplemented
73#10623158—21no—
74#10623158C2212yescomplemented
75#10623138—21no—
76#10623138C2212yescomplemented
77#10623137—21no—
78#10623137C2212yescomplemented
79#10623136—22no—
80#10623127—22no—
81#10623041C2211yescharacteristic, complemented
82C2×#66945C2211yescharacteristic, complemented
83C11×#452C2212yescomplemented
84C11×#450C2212yescomplemented
85C11×#449C2212yescomplemented
86C11×#447C2212yescomplemented
87C11×#417C2211yescharacteristic, complemented
88C2×C11×#102C2211yescharacteristic, complemented
89C11×#408C2211yescharacteristic, complemented
90#10622852C2212yescomplemented
91#10622851C2212yescomplemented
92#10622847C2211yescharacteristic, complemented
93#10622845C2211yescharacteristic, complemented
94#10622831C2212yescomplemented
95#10622830C2212yescomplemented
96C2×#66896C2211yescharacteristic, complemented
97#10622800C2212yescomplemented
98#10622786C2212yescomplemented
99#10622785C2212yescomplemented
100#10622782C2212yescomplemented
101#10622782C2212yescomplemented
102#10622771C2212yescomplemented
103#10622769C2212yescomplemented
104#10622769C2212yescomplemented
105#10622746C2211yescharacteristic, complemented
106#10622742C2211yescharacteristic, complemented
107C2×#66885C2211yescharacteristic, complemented
108#10622723C2211yescharacteristic, complemented
109#10622660C2212yescomplemented
110#10622659C2212yescomplemented
111#10622650C2212yescomplemented
112#10622649C2212yescomplemented
113#10622579C2211yescharacteristic, complemented
114C2×#66873C2211yescharacteristic, complemented
115#10622424C2212yescomplemented
116#10622423C2212yescomplemented
117#10622417C2212yescomplemented
118#10622415C2212yescomplemented
119#10622396C2212yescomplemented
120#10622394C2212yescomplemented
121#10622389C2212yescomplemented
122#10622389C2212yescomplemented
123#10622386C2212yescomplemented
124#10622386C2212yescomplemented
125#10622385C2212yescomplemented
126#10622383C2212yescomplemented
127#10622383C2212yescomplemented
128#10622383C2212yescomplemented
129#10622383C2212yescomplemented
130#10622383C2212yescomplemented
131#10622347C2212yescomplemented
132#10622346C2212yescomplemented
133#10622345C2212yescomplemented
134#10622344C2212yescomplemented
135#10622340C2212yescomplemented
136#10622340C2212yescomplemented
137#10622339C2212yescomplemented
138#10622339C2212yescomplemented
139C24×D11—21no—
140C24×D11—22no—
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—21no—
149C22×D4×C11—22no—
150C22×D4×C11C2312yes—
151C22×D4×C11C2311yescharacteristic
152C22×C22⋊D11—22no—
153C22×C22⋊D11—22no—
154C22×C22⋊D11—22no—
155C22×C22⋊D11—21no—
156C22×C22⋊D11—22no—
157#67042—216no—
158#67042—24no—
159#67042—28no—
160#67042—28no—
161#67042—24no—
162#67042—24no—
163#67042—24no—
164#41×D11—216no—
165#41×D11—28no—
166#41×D11—28no—
167#41×D11—24no—
168#41×D11—24no—
169#41×D11—24no—
170#41×D11—24no—
171#41×D11—24no—
172#41×D11D418yescomplemented
173C2×#4343—21no—
174C2×#4343D411yescharacteristic
175C2×#4343C2311yescharacteristic
176C2×#4343C2312yes—
177C2×#4343C2311yescharacteristic
178C2×Q8×D11D411yescharacteristic
179C2×Q8×D11C2311yescharacteristic
180C2×Q8×D11C2311yescharacteristic, complemented
181#67037—232no—
182#67037—216no—
183#67037—24no—
184#67037—28no—
185#67037—28no—
186#67037—24no—
187C2×#4341—21no—
188C2×#4341—22no—
189C2×#4341—21no—
190C2×#4341—22no—
191C2×#4341—21no—
192C2×#4341D412yes—
193C2×#4341D411yescharacteristic
194C2×#4341C2312yes—
195C2×#4341C2311yescharacteristic
196C2×#4341C2311yescharacteristic
197C2×D4×D11—232no—
198C2×D4×D11—216no—
199C2×D4×D11—21no—
200C2×D4×D11—22no—
201C2×D4×D11—21no—
202C2×D4×D11—22no—
203C2×D4×D11—22no—
204C2×D4×D11—22no—
205C2×D4×D11—22no—
206C2×D4×D11—28no—
207C2×D4×D11—28no—
208C2×D4×D11—21no—
209C2×D4×D11—22no—
210C2×D4×D11—21no—
211C2×D4×D11—21no—
212C2×D4×D11—22no—
213C2×D4×D11—21no—
214C2×D4×D11—24no—
215C2×D4×D11—22no—
216C2×D4×D11D412yes—
217C2×D4×D11D411yescharacteristic
218C2×D4×D11D418yescomplemented
219C2×D4×D11C2312yes—
220C2×D4×D11C2312yes—
221C2×D4×D11C2312yes—
222C2×D4×D11C2312yes—
223C2×D4×D11C2311yescharacteristic
224C2×D4×D11C2311yescharacteristic, complemented
225C2×#4339—21no—
226C2×#4339—22no—
227C2×#4339—21no—
228C2×#4339—22no—
229C2×#4339—21no—
230C2×#4339C2311yescharacteristic
231C2×#4339C2312yes—
232C2×#4339C2312yes—
233C2×#4339C2311yescharacteristic
234C2×#4339C2311yescharacteristic, complemented
235C22×D44—22no—
236C22×D44—21no—
237C22×D44C2312yes—
238C22×D44C2311yescharacteristic
239C22×C4×D11—21no—
240C22×C4×D11—22no—
241C22×C4×D11—21no—
242C22×C4×D11C2312yes—
243C22×C4×D11C2311yescharacteristic
244C11×AGL(1,ℤ/8)—24no—
245C11×#135—24no—
246C2×C11×Q16C2311yescharacteristic, complemented
247C2×C11×SD16C2312yescomplemented
248C2×C11×SD16C2311yescharacteristic, complemented
249C2×C11×SD16C2311yescharacteristic, complemented
250C2×C11×D8C2311yescharacteristic, complemented
251C2×C11×D8C2312yescomplemented
252C2×C11×M16C2311yescharacteristic, complemented
253C22×C8×C11C2311yescharacteristic, complemented
254C11×C22⋊Q8—21no—
255C11×C22⋊Q8C2312yescomplemented
256C11×#121—22no—
257C11×#121—21no—
258C11×#121C2312yescomplemented
259C2×C11×C4⋊C4C2311yescharacteristic, complemented
260#67003—24no—
261#67003—24no—
262#67002—24no—
263#66999—21no—
264#66999C2312yescomplemented
265C2×#4326C2311yescharacteristic, complemented
266C2×#4326C2311yescharacteristic, complemented
267C2×#4325C2312yescomplemented
268C2×#4325C2311yescharacteristic, complemented
269C2×#4325C2311yescharacteristic, complemented
270#66993—22no—
271#66992—22no—
272#66992—22no—
273#66991—21no—
274#66991C2312yescomplemented
275#66990—22no—
276#66990—22no—
277D4×Dic11—22no—
278C2×#4324C2311yescharacteristic, complemented
279C2×#4324C2312yescomplemented
280C2×#4324C2311yescharacteristic, complemented
281#66985—24no—
282C2×#4323C2311yescharacteristic, complemented
283C2×#4323C2312yescomplemented
284C2×#4323C2312yescomplemented
285C2×#4323C2311yescharacteristic, complemented
286#66983—22no—
287#66983—21no—
288#66983C2312yescomplemented
289C2×(C2×D11)⋊C4—21no—
290C2×C4⋊Dic11C2311yescharacteristic, complemented
291#66977—21no—
292#66977C2312yescomplemented
293C2×C4×Dic11—21no—
294C2×#4318C2311yescharacteristic, complemented
295C22×C11⋊C8C2311yescharacteristic, complemented
296#66971—24no—
297#66971—24no—
298#66968—24no—
299#66968—24no—
300#66967—24no—
301#66967—24no—
302#66967—28no—
303SD16×D11—28no—
304#66964—24no—
305#66964—24no—
306#66964—28no—
307D8×D11—28no—
308#66961—24no—
309M16×D11—24no—
310C2×Dic44C2311yescharacteristic, complemented
311#66957—24no—
312C2×D88C2311yescharacteristic, complemented
313C2×D88C2312yescomplemented
314C2×#4314C2311yescharacteristic, complemented
315C2×#4314C2311yescharacteristic, complemented
316C2×#4314C2312yescomplemented
317C2×#4313—24no—
318C2×#4313C2311yescharacteristic
319C2×#4313C2311yescharacteristic
320C2×#4313C2312yes—
321C2×#4313C2311yescharacteristic, complemented
322C2×#4313C2311yescharacteristic, complemented
323C2×C8×D11C2312yescomplemented
324#66950—21no—
325#66950C2312yescomplemented
326#66948—21no—
327#66948C2312yescomplemented
328#66947—22no—
329#66947—22no—
330#66946—22no—
331#66945—21no—
332#66945—21no—
333#66945C2312yes—
334#66945C2312yescomplemented
335#66941—22no—
336#66938—22no—
337#66938—22no—
338#66936—22no—
339#66936—22no—
340#66935—22no—
341#66935—22no—
342(C22⋊D11)⋊C4—22no—
343(C22⋊D11)⋊C4—22no—
344C11×#103C2312yescomplemented
345C11×#102C2312yescomplemented
346C11×#102C2312yescomplemented
347C11×#102C2312yescomplemented
348C11×C22⋊C8C2312yescomplemented
349C11×C22⋊C8C2312yescomplemented
350#66899C2312yescomplemented
351#66896C2312yescomplemented
352#66896C2312yescomplemented
353#66896C2312yescomplemented
354C22⋊(C11⋊C8)C2312yescomplemented
355C22⋊(C11⋊C8)C2312yescomplemented
356#66885C2312yescomplemented
357#66885C2312yescomplemented
358#66885C2312yescomplemented
359(C2×D11)⋊C8C2312yescomplemented
360(C2×D11)⋊C8C2312yescomplemented
361(C2×D11)⋊C8C2312yescomplemented
362(C2×D11)⋊C8C2312yescomplemented
363#66880C2312yescomplemented
364#66874C2312yescomplemented
365#66873C2312yescomplemented
366#66873C2312yescomplemented
367#66873C2312yescomplemented
368#60367—111nomaximal, Sylow
369C24×C11—22no—
370C24×C11—21no—
371C23×D11—216no—
372C23×D11—22no—
373C23×D11—21no—
374C23×D11—21no—
375C23×D11—22no—
376C23×D11—28no—
377C23×D11—22no—
378C23×D11—22no—
379C23×D11—22no—
380C23×D11—21no—
381C23×D11—82no—
382C23×D11—82no—
383C23×D11—84no—
384C23×D11—84no—
385C23×D11C2×D412yes—
386C23×D11C2×D411yescharacteristic
387C11×#41—28no—
388C11×#41—24no—
389C11×#41—24no—
390C11×#41—22no—
391C11×#41—22no—
392C11×#41—22no—
393C11×#41—22no—
394C11×#41—22no—
395C11×#41C2×D414yes—
396C2×Q8×C11C2×D411yescharacteristic
397C2×Q8×C11C2411yescharacteristic
398C2×Q8×C11C2411yescharacteristic
399C2×D4×C11—216no—
400C2×D4×C11—28no—
401C2×D4×C11—22no—
402C2×D4×C11—21no—
403C2×D4×C11—24no—
404C2×D4×C11—24no—
405C2×D4×C11—21no—
406C2×D4×C11—22no—
407C2×D4×C11—22no—
408C2×D4×C11—21no—
409C2×D4×C11—22no—
410C2×D4×C11C2×D411yescharacteristic
411C2×D4×C11C2×D412yes—
412C2×D4×C11C2×D414yes—
413C2×D4×C11C2411yescharacteristic
414C2×D4×C11C2411yescharacteristic
415C2×D4×C11C2412yes—
416C22×C4×C11—22no—
417C22×C4×C11—21no—
418C22×C4×C11—21no—
419C22×C4×C11—21no—
420C22×C4×C11C2412yes—
421C22×C4×C11C2411yescharacteristic
422C2×C22⋊D11—216no—
423C2×C22⋊D11—216no—
424C2×C22⋊D11—216no—
425C2×C22⋊D11—216no—
426C2×C22⋊D11—28no—
427C2×C22⋊D11—22no—
428C2×C22⋊D11—22no—
429C2×C22⋊D11—22no—
430C2×C22⋊D11—21no—
431C2×C22⋊D11—22no—
432C2×C22⋊D11—21no—
433C2×C22⋊D11—22no—
434C2×C22⋊D11—21no—
435C2×C22⋊D11—21no—
436C2×C22⋊D11—22no—
437C2×C22⋊D11—22no—
438C2×C22⋊D11—21no—
439C2×C22⋊D11—21no—
440C2×C22⋊D11—22no—
441C2×C22⋊D11C2×D412yes—
442C2×C22⋊D11C2×D412yes—
443C2×C22⋊D11C2×D412yes—
444C22×Dic11—22no—
445C22×Dic11—21no—
446C22×Dic11—21no—
447C22×Dic11—21no—
448C22×Dic11C2×D412yes—
449C22×Dic11C2×D411yescharacteristic
450#4343—28no—
451#4343—24no—
452#4343—24no—
453#4343—22no—
454#4343—22no—
455#4343—22no—
456#4343—24no—
457#4343C2×D414yes—
458Q8×D11—24no—
459Q8×D11—22no—
460Q8×D11—22no—
461Q8×D11—22no—
462Q8×D11C2×D414yes—
463#4341—216no—
464#4341—216no—
465#4341—28no—
466#4341—28no—
467#4341—28no—
468#4341—24no—
469#4341—22no—
470#4341—22no—
471#4341—22no—
472#4341—24no—
473#4341—24no—
474#4341—44no—
475#4341C2×D414yes—
476D4×D11—216no—
477D4×D11—216no—
478D4×D11—216no—
479D4×D11—216no—
480D4×D11—216no—
481D4×D11—216no—
482D4×D11—216no—
483D4×D11—216no—
484D4×D11—28no—
485D4×D11—28no—
486D4×D11—24no—
487D4×D11—24no—
488D4×D11—24no—
489D4×D11—28no—
490D4×D11—28no—
491D4×D11—24no—
492D4×D11—22no—
493D4×D11—24no—
494D4×D11—28no—
495D4×D11—28no—
496D4×D11—22no—
497D4×D11—22no—
498D4×D11—24no—
499D4×D11—24no—
500D4×D11—44no—
501D4×D11C2×D418yes—
502D4×D11C2×D414yes—
503D4×D11C2×D418yes—
504#4339—216no—
505#4339—216no—
506#4339—28no—
507#4339—24no—
508#4339—28no—
509#4339—24no—
510#4339—24no—
511#4339—24no—
512#4339—22no—
513#4339—22no—
514#4339—22no—
515#4339—22no—
516#4339—22no—
517#4339—44no—
518#4339C2×D414yes—
519C2×D44—216no—
520C2×D44—28no—
521C2×D44—24no—
522C2×D44—24no—
523C2×D44—22no—
524C2×D44—21no—
525C2×D44—21no—
526C2×D44—22no—
527C2×D44—22no—
528C2×D44—21no—
529C2×D44—22no—
530C2×D44C2×D414yes—
531C2×D44C2×D412yes—
532C2×D44C2×D411yescharacteristic
533C2×D44C2411yescharacteristic
534C2×D44C2411yescharacteristic
535C2×D44C2412yes—
536C2×C4×D11—216no—
537C2×C4×D11—22no—
538C2×C4×D11—21no—
539C2×C4×D11—28no—
540C2×C4×D11—24no—
541C2×C4×D11—24no—
542C2×C4×D11—21no—
543C2×C4×D11—21no—
544C2×C4×D11—21no—
545C2×C4×D11—22no—
546C2×C4×D11—21no—
547C2×C4×D11—21no—
548C2×C4×D11—44no—
549C2×C4×D11C2×D414yes—
550C2×C4×D11C2×D414yes—
551C2×C4×D11C2×D412yes—
552C2×C4×D11C2×D412yes—
553C2×C4×D11C2×D411yescharacteristic
554C2×C4×D11C2×D411yescharacteristic
555C2×C4×D11C2412yes—
556C2×C4×D11C2411yescharacteristic
557C2×C4×D11C2411yescharacteristic
558C2×Dic22—21no—
559C2×Dic22—21no—
560C2×Dic22C2×D412yes—
561C2×Dic22C2×D411yescharacteristic
562C2×Dic22C2411yescharacteristic
563C2×Dic22C2411yescharacteristic
564C11×Q16—22no—
565C11×SD16—22no—
566C11×SD16—24no—
567C11×SD16—22no—
568C11×D8—24no—
569C11×D8—22no—
570C11×M16—22no—
571C2×C8×C11—22no—
572C2×C8×C11C2412yes—
573C2×C8×C11C2411yescharacteristic
574C2×C8×C11C2411yescharacteristic
575C11×C4⋊C4—22no—
576C11×C4⋊C4—21no—
577C11×C4⋊C4C2412yes—
578C11×C22⋊C4—22no—
579C11×C22⋊C4—22no—
580C22⋊Dic11—22no—
581C22⋊Dic11—22no—
582#4326—22no—
583#4326—22no—
584#4325—24no—
585#4325—22no—
586#4325—22no—
587#4324—22no—
588#4324—24no—
589#4324—22no—
590#4323—24no—
591#4323—22no—
592#4323—24no—
593#4323—22no—
594(C2×D11)⋊C4—22no—
595(C2×D11)⋊C4—22no—
596(C2×D11)⋊C4—22no—
597(C2×D11)⋊C4—22no—
598(C2×D11)⋊C4—22no—
599(C2×D11)⋊C4—22no—
600C4⋊Dic11—22no—
601C4⋊Dic11—21no—
602C4⋊Dic11C2412yes—
603Dic11⋊C4—22no—
604Dic11⋊C4—22no—
605C4×Dic11—22no—
606C4×Dic11—22no—
607#4318—22no—
608C2×C11⋊C8—22no—
609C2×C11⋊C8C2411yescharacteristic
610C2×C11⋊C8C2411yescharacteristic
611C2×C11⋊C8C2412yes—
612Dic44—22no—
613D88—22no—
614D88—24no—
615#4314—22no—
616#4314—24no—
617#4314—22no—
618#4313—22no—
619#4313—22no—
620#4313—22no—
621#4313—22no—
622#4313—24no—
623C8×D11—24no—
624C22×H(5,𝔽2)—111no—
625C2×#575—111no—
626C22×AGL(1,ℤ/8)—111no—
627#3449—111no—
628#3012—111no—
629#3012—111no—
630#3012—111no—
631#3012—111no—
632#3012—111no—
633#3012—111no—
634#3012—111no—
635#3012D1111yescharacteristic, complemented
636#3009—112no—
637#3009—112no—
638#3008—112no—
639#3008—112no—
640#3005—112no—
641#3005—112no—
642#3003—112no—
643#3003—112no—
644#2896—111no—
645C2×#418—111no—
646#2879—111no—
647C23×C11—28no—
648C23×C11—22no—
649C23×C11—21no—
650C23×C11—24no—
651C23×C11—21no—
652C23×C11—81no—
653C23×C11—81no—
654C23×C11—82no—
655C23×C11—82no—
656C23×C11C22×D412yes—
657C23×C11C22×D411yescharacteristic
658C22×D11—21no—
659C22×D11—22no—
660C22×D11—28no—
661C22×D11—28no—
662C22×D11—28no—
663C22×D11—24no—
664C22×D11—24no—
665C22×D11—28no—
666C22×D11—24no—
667C22×D11—28no—
668C22×D11—21no—
669C22×D11—41no—
670C22×D11—41no—
671C22×D11—42no—
672C22×D11—42no—
673C22×D11—42no—
674C22×D11—44no—
675C22×D11—42no—
676C22×D11—44no—
677C22×D11—42no—
678C22×D11—81no—
679C22×D11—81no—
680C22×D11—82no—
681C22×D11—82no—
682C22×D11—82no—
683C22×D11—82no—
684C22×D11—82no—
685C22×D11—82no—
686C22×D11—816no—
687C22×D11—832no—
688C22×D11—81no—
689C22×D11—81no—
690C22×D11—82no—
691C22×D11—82no—
692C22×D11#12014yes—
693C22×D11C22×D412yes—
694C22×D11C22×D411yescharacteristic
695C22×D11C22×D411yescharacteristic
696Q8×C11—22no—
697Q8×C11—21no—
698Q8×C11—21no—
699Q8×C11—21no—
700Q8×C11C22×D412yes—
701D4×C11—28no—
702D4×C11—28no—
703D4×C11—24no—
704D4×C11—24no—
705D4×C11—22no—
706D4×C11—24no—
707D4×C11—22no—
708D4×C11—21no—
709D4×C11—21no—
710D4×C11—21no—
711D4×C11—42no—
712D4×C11—82no—
713D4×C11C22×D412yes—
714D4×C11C22×D414yes—
715C2×C4×C11—28no—
716C2×C4×C11—21no—
717C2×C4×C11—24no—
718C2×C4×C11—22no—
719C2×C4×C11—22no—
720C2×C4×C11—22no—
721C2×C4×C11—21no—
722C2×C4×C11—42no—
723C2×C4×C11—81no—
724C2×C4×C11C22×D412yes—
725C2×C4×C11C22×D411yescharacteristic
726C2×C4×C11C22×D412yes—
727C2×C4×C11C22×D412yes—
728C2×C4×C11C2511yescharacteristic
729C22⋊D11—28no—
730C22⋊D11—28no—
731C22⋊D11—28no—
732C22⋊D11—28no—
733C22⋊D11—24no—
734C22⋊D11—24no—
735C22⋊D11—24no—
736C22⋊D11—24no—
737C22⋊D11—24no—
738C22⋊D11—28no—
739C22⋊D11—28no—
740C22⋊D11—24no—
741C22⋊D11—42no—
742C22⋊D11—42no—
743C22⋊D11—42no—
744C22⋊D11—82no—
745C22⋊D11—82no—
746C2×Dic11—28no—
747C2×Dic11—21no—
748C2×Dic11—24no—
749C2×Dic11—24no—
750C2×Dic11—22no—
751C2×Dic11—21no—
752C2×Dic11—42no—
753C2×Dic11—81no—
754C2×Dic11#12014yes—
755C2×Dic11C22×D412yes—
756C2×Dic11C22×D411yescharacteristic
757C2×Dic11C22×D411yescharacteristic
758D44—28no—
759D44—28no—
760D44—24no—
761D44—24no—
762D44—24no—
763D44—22no—
764D44—22no—
765D44—21no—
766D44—21no—
767D44—21no—
768D44—42no—
769D44—82no—
770D44C22×D412yes—
771D44C22×D414yes—
772C4×D11—28no—
773C4×D11—28no—
774C4×D11—24no—
775C4×D11—24no—
776C4×D11—24no—
777C4×D11—22no—
778C4×D11—22no—
779C4×D11—24no—
780C4×D11—24no—
781C4×D11—42no—
782C4×D11—42no—
783C4×D11—42no—
784C4×D11#12014yes—
785C4×D11#12014yes—
786C4×D11C22×D412yes—
787C4×D11C22×D412yes—
788C4×D11C22×D412yes—
789C4×D11C22×D412yes—
790Dic22—22no—
791Dic22—21no—
792Dic22—24no—
793Dic22—24no—
794Dic22—21no—
795Dic22—21no—
796Dic22—42no—
797Dic22C22×D412yes—
798C8×C11—22no—
799C8×C11—21no—
800C8×C11—21no—
801C11⋊C8—22no—
802C11⋊C8—21no—
803C11⋊C8—21no—
804C2×H(5,𝔽2)—112no—
805C2×H(5,𝔽2)—111no—
806C2×H(5,𝔽2)—111no—
807C2×H(5,𝔽2)—112no—
808C2×H(5,𝔽2)—111no—
809C2×H(5,𝔽2)—221no—
810C2×H(5,𝔽2)—222no—
811C2×H(5,𝔽2)—228no—
812C2×H(5,𝔽2)—221no—
813C2×H(5,𝔽2)—228no—
814C2×H(5,𝔽2)C2×D1111yescharacteristic, complemented
815C22×#41—111no—
816C22×#41—111no—
817C22×#41—112no—
818C22×#41—111no—
819C22×#41—221no—
820C23×D4—111no—
821C23×D4—112no—
822C23×D4—222no—
823C23×D4—221no—
824#575—228no—
825C2×#137—111no—
826C2×#137—111no—
827C2×#137—111no—
828C2×#137—111no—
829C2×AGL(1,ℤ/8)—111no—
830C2×AGL(1,ℤ/8)—111no—
831C2×AGL(1,ℤ/8)—111no—
832C2×AGL(1,ℤ/8)—112no—
833C2×AGL(1,ℤ/8)—111no—
834C2×AGL(1,ℤ/8)—111no—
835C2×AGL(1,ℤ/8)—112no—
836C2×AGL(1,ℤ/8)—111no—
837C2×AGL(1,ℤ/8)—111no—
838C2×AGL(1,ℤ/8)—228no—
839C2×AGL(1,ℤ/8)C2×D1111yescharacteristic, complemented
840C2×#135—111no—
841C2×#135—111no—
842C2×#135—111no—
843C2×#135C2×D1111yescharacteristic, complemented
844C22×SD16—112no—
845C22×D8—112no—
846C22×M16—111no—
847C22×M16—111no—
848#537—111no—
849#537—111no—
850#537—111no—
851#537C2×D1111yescharacteristic, complemented
852#536—112no—
853#536—221no—
854#535—112no—
855#535—221no—
856#534—222no—
857#532—222no—
858#525—112no—
859#525—112no—
860#525—221no—
861#525—221no—
862C2×#117—111no—
863#452—112no—
864#452—112no—
865#452—112no—
866#452—112no—
867#452—112no—
868#452—112no—
869#452—112no—
870#452C2×D1112yescomplemented
871#450—112no—
872#450—112no—
873#450—112no—
874#450—112no—
875#450—112no—
876#450—112no—
877#450—112no—
878#450C2×D1112yescomplemented
879#449—112no—
880#449—112no—
881#449—112no—
882#449—112no—
883#449—112no—
884#449—112no—
885#449—112no—
886#449C2×D1112yescomplemented
887#447—112no—
888#447—112no—
889#447—112no—
890#447—112no—
891#447—112no—
892#447—112no—
893#447—112no—
894#447C2×D1112yescomplemented
895#419—112no—
896#418—112no—
897#418—112no—
898#418—112no—
899#418—112no—
900#418—112no—
901#417—111no—
902#417—111no—
903#417—111no—
904#417C2×D1111yescharacteristic, complemented
905#416—112no—
906#416—112no—
907C2×#102—111no—
908C2×#102—111no—
909C2×#102—111no—
910C2×#102C2×D1111yescharacteristic, complemented
911#408—111no—
912#408—111no—
913#408—111no—
914#408—112no—
915#408—112no—
916#408C2×D1111yescharacteristic, complemented
917#407—112no—
918#407—112no—
919C22×C11—21no—
920C22×C11—21no—
921C22×C11—22no—
922C22×C11—22no—
923C22×C11—22no—
924C22×C11—24no—
925C22×C11—22no—
926C22×C11—42no—
927C22×C11—41no—
928C22×C11—42no—
929C22×C11—41no—
930C22×C11—41no—
931C22×C11—41no—
932C22×C11—41no—
933C22×C11—84no—
934C22×C11—88no—
935C22×C11C2×#12012yes—
936C22×C11C23×D411yescharacteristic
937C2×D11—21no—
938C2×D11—21no—
939C2×D11—21no—
940C2×D11—21no—
941C2×D11—22no—
942C2×D11—22no—
943C2×D11—22no—
944C2×D11—24no—
945C2×D11—22no—
946C2×D11—44no—
947C2×D11—48no—
948C2×D11—416no—
949C2×D11—48no—
950C2×D11—42no—
951C2×D11—41no—
952C2×D11—42no—
953C2×D11—41no—
954C2×D11—41no—
955C2×D11—41no—
956C2×D11—41no—
957C2×D11—88no—
958C2×D11—84no—
959C2×D11—84no—
960C2×D11—88no—
961C2×D11—88no—
962C2×D11—88no—
963C2×D11C2×#12012yes—
964C2×D11C2×#12012yes—
965C4×C11—22no—
966C4×C11—22no—
967C4×C11—42no—
968C4×C11—41no—
969C4×C11C2×#12012yes—
970C4×C11C23×D411yescharacteristic
971C4×C11C23×D411yescharacteristic
972Dic11—22no—
973Dic11—22no—
974Dic11—42no—
975Dic11—41no—
976Dic11C2×#12012yes—
977Dic11C2×#12012yes—
978C25—221no—
979C25—222no—
980H(5,𝔽2)—24no—
981H(5,𝔽2)—24no—
982H(5,𝔽2)—228no—
983H(5,𝔽2)—228no—
984H(5,𝔽2)—224no—
985H(5,𝔽2)—2216no—
986H(5,𝔽2)—2232no—
987H(5,𝔽2)—228no—
988H(5,𝔽2)—224no—
989H(5,𝔽2)—224no—
990H(5,𝔽2)—224no—
991H(5,𝔽2)—228no—
992H(5,𝔽2)—2216no—
993H(5,𝔽2)—224no—
994H(5,𝔽2)—224no—
995C2×#41—21no—
996C2×#41—111no—
997C2×#41—111no—
998C2×#41—112no—
999C2×#41—112no—
1000C2×#41—111no—
1001C2×#41—118no—
1002C2×#41—111no—
1003C2×#41—111no—
1004C2×#41—112no—
1005C2×#41—111no—
1006C2×#41—111no—
1007C2×#41—112no—
1008C2×#41—111no—
1009C2×#41—111no—
1010C2×#41—112no—
1011C2×#41—221no—
1012C2×#41—222no—
1013C2×#41—221no—
1014C2×#41—221no—
1015C2×#41—222no—
1016C2×#41—221no—
1017C2×#41—222no—
1018C2×#41—221no—
1019C2×#41—224no—
1020C2×#41—224no—
1021C2×#41—224no—
1022C2×#41—224no—
1023C2×#41—224no—
1024C2×#41—221no—
1025C2×#41—222no—
1026C2×#41—228no—
1027C2×#41—228no—
1028C2×#41—2216no—
1029C2×#41—221no—
1030C2×#41C22×D1112yes—
1031C2×#41C22×D1111yescharacteristic
1032C2×#41C22×D1111yescharacteristic
1033C2×#41C22×D1111yescharacteristic, complemented
1034C22×Q8—111no—
1035C22×Q8—111no—
1036C22×Q8—111no—
1037C22×D4—22no—
1038C22×D4—21no—
1039C22×D4—118no—
1040C22×D4—112no—
1041C22×D4—112no—
1042C22×D4—111no—
1043C22×D4—112no—
1044C22×D4—111no—
1045C22×D4—111no—
1046C22×D4—112no—
1047C22×D4—112no—
1048C22×D4—111no—
1049C22×D4—112no—
1050C22×D4—222no—
1051C22×D4—221no—
1052C22×D4—221no—
1053C22×D4—222no—
1054C22×D4—221no—
1055C22×D4—224no—
1056C22×D4—222no—
1057C22×D4—221no—
1058C22×D4—222no—
1059C22×D4—228no—
1060C22×D4—228no—
1061C22×D4—222no—
1062C22×D4—222no—
1063C22×D4—222no—
1064C22×D4—222no—
1065C22×D4—221no—
1066C22×D4—221no—
1067C22×D4—222no—
1068C22×D4—2216no—
1069C22×D4—2232no—
1070C22×D4—221no—
1071C22×D4—222no—
1072C22×D4—222no—
1073C22×D4—222no—
1074C22×D4—222no—
1075C22×D4—221no—
1076C22×D4C22×D1112yes—
1077C22×D4C22×D1111yescharacteristic
1078C23×C4—111no—
1079C23×C4—112no—
1080C23×C4—221no—
1081C23×C4—222no—
1082C23×C4—221no—
1083#137—224no—
1084#137—224no—
1085#137—224no—
1086#137—224no—
1087AGL(1,ℤ/8)—24no—
1088AGL(1,ℤ/8)—224no—
1089AGL(1,ℤ/8)—228no—
1090AGL(1,ℤ/8)—224no—
1091AGL(1,ℤ/8)—224no—
1092AGL(1,ℤ/8)—228no—
1093AGL(1,ℤ/8)—224no—
1094AGL(1,ℤ/8)—224no—
1095AGL(1,ℤ/8)—224no—
1096AGL(1,ℤ/8)—224no—
1097#135—24no—
1098#135—224no—
1099#135—224no—
1100#135—224no—
1101C2×Q16—111no—
1102C2×Q16—111no—
1103C2×Q16—111no—
1104C2×Q16C22×D1111yescharacteristic, complemented
1105C2×SD16—112no—
1106C2×SD16—111no—
1107C2×SD16—111no—
1108C2×SD16—112no—
1109C2×SD16—111no—
1110C2×SD16—111no—
1111C2×SD16—112no—
1112C2×SD16—111no—
1113C2×SD16—111no—
1114C2×SD16—228no—
1115C2×SD16C22×D1112yescomplemented
1116C2×SD16C22×D1111yescharacteristic, complemented
1117C2×SD16C22×D1111yescharacteristic, complemented
1118C2×D8—112no—
1119C2×D8—112no—
1120C2×D8—111no—
1121C2×D8—111no—
1122C2×D8—112no—
1123C2×D8—111no—
1124C2×D8—228no—
1125C2×D8C22×D1112yescomplemented
1126C2×D8C22×D1111yescharacteristic, complemented
1127C2×M16—111no—
1128C2×M16—112no—
1129C2×M16—111no—
1130C2×M16—111no—
1131C2×M16—111no—
1132C2×M16—111no—
1133C2×M16—224no—
1134C2×M16—224no—
1135C2×M16C22×D1111yescharacteristic, complemented
1136C22×C8—111no—
1137C22×C8—112no—
1138C22×C8C22×D1111yescharacteristic, complemented
1139C4⋊Q8—222no—
1140#127—222no—
1141#124—222no—
1142#124—222no—
1143#123—222no—
1144#123—222no—
1145#123—222no—
1146#123—222no—
1147C22⋊Q8—21no—
1148C22⋊Q8—112no—
1149C22⋊Q8—112no—
1150C22⋊Q8—112no—
1151C22⋊Q8—221no—
1152C22⋊Q8—221no—
1153C22⋊Q8—221no—
1154C22⋊Q8C22×D1112yescomplemented
1155#121—21no—
1156#121—22no—
1157#121—112no—
1158#121—112no—
1159#121—112no—
1160#121—221no—
1161#121—221no—
1162#121—222no—
1163#121—222no—
1164#121—221no—
1165#121—222no—
1166#121C22×D1112yescomplemented
1167#120—222no—
1168#120—222no—
1169#120—222no—
1170#120—222no—
1171C4×D4—222no—
1172C4×D4—222no—
1173C4×D4—222no—
1174C4×D4—222no—
1175#117—112no—
1176#117—112no—
1177#117—221no—
1178#117—221no—
1179C2×C4⋊C4—111no—
1180C2×C4⋊C4C22×D1111yescharacteristic, complemented
1181C2×C22⋊C4—221no—
1182C2×C42—221no—
1183#103—112no—
1184#103—112no—
1185#103—112no—
1186#103C22×D1112yescomplemented
1187#102—112no—
1188#102—112no—
1189#102—112no—
1190#102—112no—
1191#102—112no—
1192#102—112no—
1193#102—112no—
1194#102—112no—
1195#102—112no—
1196#102C22×D1112yescomplemented
1197#102C22×D1112yescomplemented
1198#102C22×D1112yescomplemented
1199C22⋊C8—112no—
1200C22⋊C8—112no—
1201C22⋊C8—112no—
1202C22⋊C8—112no—
1203C22⋊C8—112no—
1204C22⋊C8—112no—
1205C22⋊C8C22×D1112yescomplemented
1206C22⋊C8C22×D1112yescomplemented
1207C2×C11—22no—
1208C2×C11—42no—
1209C2×C11—44no—
1210C2×C11—42no—
1211C2×C11—81no—
1212C2×C11C22×#12011yescharacteristic
1213C2×C11#358511yescharacteristic
1214C2×C11#358511yescharacteristic
1215D11—22no—
1216D11—22no—
1217D11—42no—
1218D11—44no—
1219D11—42no—
1220D11—81no—
1221C24—22no—
1222C24—21no—
1223C24—111no—
1224C24—112no—
1225C24—221no—
1226C24—222no—
1227C24—222no—
1228C24—222no—
1229C24—222no—
1230C24—228no—
1231C24—221no—
1232C24—2216no—
1233C24—222no—
1234C24—221no—
1235C24—882no—
1236C24—882no—
1237C24—884no—
1238C24—884no—
1239#41—28no—
1240#41—24no—
1241#41—24no—
1242#41—22no—
1243#41—22no—
1244#41—22no—
1245#41—22no—
1246#41—22no—
1247#41—114no—
1248#41—114no—
1249#41—114no—
1250#41—228no—
1251#41—224no—
1252#41—224no—
1253#41—224no—
1254#41—224no—
1255#41—2216no—
1256#41—2216no—
1257#41—228no—
1258#41—228no—
1259#41—228no—
1260#41—224no—
1261#41—222no—
1262#41—224no—
1263#41—222no—
1264#41—222no—
1265#41—222no—
1266#41—222no—
1267#41—222no—
1268#41—224no—
1269#41—2216no—
1270#41—2216no—
1271#41—228no—
1272#41—224no—
1273#41—228no—
1274#41—224no—
1275#41—224no—
1276#41—222no—
1277#41—222no—
1278#41—222no—
1279#41—222no—
1280#41—222no—
1281#41—444no—
1282#41—444no—
1283#41D4×D1114yes—
1284C2×Q8—111no—
1285C2×Q8—112no—
1286C2×Q8—114no—
1287C2×Q8—111no—
1288C2×Q8—111no—
1289C2×Q8—221no—
1290C2×Q8—221no—
1291C2×Q8—224no—
1292C2×Q8—222no—
1293C2×Q8—222no—
1294C2×Q8—222no—
1295C2×Q8D4×D1111yescharacteristic
1296C2×Q8C23×D1111yescharacteristic
1297C2×Q8C23×D1111yescharacteristic
1298C2×D4—216no—
1299C2×D4—28no—
1300C2×D4—22no—
1301C2×D4—21no—
1302C2×D4—24no—
1303C2×D4—24no—
1304C2×D4—21no—
1305C2×D4—22no—
1306C2×D4—22no—
1307C2×D4—21no—
1308C2×D4—22no—
1309C2×D4—118no—
1310C2×D4—118no—
1311C2×D4—114no—
1312C2×D4—112no—
1313C2×D4—112no—
1314C2×D4—112no—
1315C2×D4—114no—
1316C2×D4—112no—
1317C2×D4—111no—
1318C2×D4—112no—
1319C2×D4—111no—
1320C2×D4—111no—
1321C2×D4—224no—
1322C2×D4—224no—
1323C2×D4—221no—
1324C2×D4—222no—
1325C2×D4—2216no—
1326C2×D4—228no—
1327C2×D4—221no—
1328C2×D4—222no—
1329C2×D4—228no—
1330C2×D4—224no—
1331C2×D4—222no—
1332C2×D4—224no—
1333C2×D4—228no—
1334C2×D4—224no—
1335C2×D4—222no—
1336C2×D4—222no—
1337C2×D4—222no—
1338C2×D4—221no—
1339C2×D4—222no—
1340C2×D4—222no—
1341C2×D4—222no—
1342C2×D4—228no—
1343C2×D4—221no—
1344C2×D4—224no—
1345C2×D4—224no—
1346C2×D4—228no—
1347C2×D4—228no—
1348C2×D4—2216no—
1349C2×D4—2216no—
1350C2×D4—2216no—
1351C2×D4—2216no—
1352C2×D4—2216no—
1353C2×D4—2216no—
1354C2×D4—2216no—
1355C2×D4—2216no—
1356C2×D4—228no—
1357C2×D4—228no—
1358C2×D4—221no—
1359C2×D4—222no—
1360C2×D4—2216no—
1361C2×D4—2216no—
1362C2×D4—2216no—
1363C2×D4—2216no—
1364C2×D4—222no—
1365C2×D4—221no—
1366C2×D4—224no—
1367C2×D4—224no—
1368C2×D4—221no—
1369C2×D4—221no—
1370C2×D4—222no—
1371C2×D4—222no—
1372C2×D4—222no—
1373C2×D4—221no—
1374C2×D4—222no—
1375C2×D4—444no—
1376C2×D4D4×D1112yes—
1377C2×D4D4×D1111yescharacteristic
1378C2×D4D4×D1114yes—
1379C2×D4C23×D1111yescharacteristic
1380C2×D4C23×D1111yescharacteristic
1381C2×D4C23×D1112yes—
1382C22×C4—22no—
1383C22×C4—21no—
1384C22×C4—21no—
1385C22×C4—21no—
1386C22×C4—111no—
1387C22×C4—111no—
1388C22×C4—111no—
1389C22×C4—114no—
1390C22×C4—114no—
1391C22×C4—111no—
1392C22×C4—111no—
1393C22×C4—112no—
1394C22×C4—112no—
1395C22×C4—112no—
1396C22×C4—112no—
1397C22×C4—224no—
1398C22×C4—224no—
1399C22×C4—221no—
1400C22×C4—222no—
1401C22×C4—228no—
1402C22×C4—221no—
1403C22×C4—221no—
1404C22×C4—2216no—
1405C22×C4—221no—
1406C22×C4—221no—
1407C22×C4—222no—
1408C22×C4—221no—
1409C22×C4—222no—
1410C22×C4—221no—
1411C22×C4—221no—
1412C22×C4—221no—
1413C22×C4—444no—
1414C22×C4C23×D1112yes—
1415C22×C4C23×D1111yescharacteristic
1416Q16—22no—
1417Q16—222no—
1418Q16—222no—
1419Q16—222no—
1420SD16—22no—
1421SD16—24no—
1422SD16—22no—
1423SD16—224no—
1424SD16—222no—
1425SD16—222no—
1426SD16—222no—
1427SD16—224no—
1428SD16—222no—
1429SD16—222no—
1430SD16—224no—
1431SD16—222no—
1432D8—24no—
1433D8—22no—
1434D8—224no—
1435D8—222no—
1436D8—224no—
1437D8—222no—
1438D8—224no—
1439D8—222no—
1440M16—22no—
1441M16—224no—
1442M16—222no—
1443M16—222no—
1444M16—222no—
1445M16—222no—
1446M16—222no—
1447C2×C8—22no—
1448C2×C8—111no—
1449C2×C8—111no—
1450C2×C8—112no—
1451C2×C8—224no—
1452C2×C8—222no—
1453C2×C8C23×D1111yescharacteristic
1454C2×C8C23×D1111yescharacteristic
1455C2×C8C23×D1112yes—
1456C4⋊C4—21no—
1457C4⋊C4—22no—
1458C4⋊C4—112no—
1459C4⋊C4—222no—
1460C4⋊C4—222no—
1461C4⋊C4—221no—
1462C4⋊C4—222no—
1463C4⋊C4C23×D1112yes—
1464C22⋊C4—22no—
1465C22⋊C4—22no—
1466C22⋊C4—222no—
1467C22⋊C4—222no—
1468C22⋊C4—222no—
1469C22⋊C4—222no—
1470C22⋊C4—222no—
1471C22⋊C4—222no—
1472C22⋊C4—222no—
1473C22⋊C4—222no—
1474C42—222no—
1475C42—222no—
1476C11#6036711yescharacteristic, complemented, Sylow
1477C23—28no—
1478C23—22no—
1479C23—21no—
1480C23—24no—
1481C23—21no—
1482C23—81no—
1483C23—81no—
1484C23—82no—
1485C23—82no—
1486C23—111no—
1487C23—111no—
1488C23—114no—
1489C23—112no—
1490C23—224no—
1491C23—228no—
1492C23—224no—
1493C23—228no—
1494C23—228no—
1495C23—228no—
1496C23—228no—
1497C23—221no—
1498C23—222no—
1499C23—224no—
1500C23—221no—
1501C23—441no—
1502C23—441no—
1503C23—442no—
1504C23—442no—
1505C23—442no—
1506C23—444no—
1507C23—442no—
1508C23—444no—
1509C23—442no—
1510C23—881no—
1511C23—881no—
1512C23—882no—
1513C23—882no—
1514C23—881no—
1515C23—881no—
1516C23—882no—
1517C23—882no—
1518C23—882no—
1519C23—882no—
1520C23—882no—
1521C23—882no—
1522C23—8816no—
1523C23—8832no—
1524C23C2×D4×D1112yes—
1525C23C2×D4×D1111yescharacteristic
1526Q8—22no—
1527Q8—21no—
1528Q8—21no—
1529Q8—21no—
1530Q8—112no—
1531Q8—224no—
1532Q8—224no—
1533Q8—222no—
1534Q8—221no—
1535Q8—221no—
1536Q8—221no—
1537Q8—442no—
1538Q8C2×D4×D1112yes—
1539D4—28no—
1540D4—28no—
1541D4—24no—
1542D4—24no—
1543D4—22no—
1544D4—24no—
1545D4—22no—
1546D4—21no—
1547D4—21no—
1548D4—21no—
1549D4—42no—
1550D4—82no—
1551D4—114no—
1552D4—112no—
1553D4—224no—
1554D4—224no—
1555D4—228no—
1556D4—228no—
1557D4—228no—
1558D4—224no—
1559D4—224no—
1560D4—228no—
1561D4—224no—
1562D4—224no—
1563D4—228no—
1564D4—228no—
1565D4—228no—
1566D4—228no—
1567D4—224no—
1568D4—224no—
1569D4—224no—
1570D4—222no—
1571D4—222no—
1572D4—221no—
1573D4—221no—
1574D4—221no—
1575D4—442no—
1576D4—442no—
1577D4—442no—
1578D4—442no—
1579D4—882no—
1580D4—882no—
1581D4—882no—
1582D4C2×D4×D1112yes—
1583D4C2×D4×D1114yes—
1584C2×C4—28no—
1585C2×C4—21no—
1586C2×C4—24no—
1587C2×C4—22no—
1588C2×C4—22no—
1589C2×C4—22no—
1590C2×C4—21no—
1591C2×C4—42no—
1592C2×C4—81no—
1593C2×C4—114no—
1594C2×C4—111no—
1595C2×C4—111no—
1596C2×C4—114no—
1597C2×C4—114no—
1598C2×C4—112no—
1599C2×C4—112no—
1600C2×C4—112no—
1601C2×C4—112no—
1602C2×C4—112no—
1603C2×C4—224no—
1604C2×C4—224no—
1605C2×C4—224no—
1606C2×C4—224no—
1607C2×C4—228no—
1608C2×C4—228no—
1609C2×C4—224no—
1610C2×C4—224no—
1611C2×C4—228no—
1612C2×C4—221no—
1613C2×C4—224no—
1614C2×C4—222no—
1615C2×C4—222no—
1616C2×C4—222no—
1617C2×C4—221no—
1618C2×C4—442no—
1619C2×C4—442no—
1620C2×C4—442no—
1621C2×C4—442no—
1622C2×C4—881no—
1623C2×C4C2×D4×D1112yes—
1624C2×C4C2×D4×D1111yescharacteristic
1625C2×C4C2×D4×D1112yes—
1626C2×C4C2×D4×D1112yes—
1627C2×C4C24×D1111yescharacteristic
1628C8—21no—
1629C8—21no—
1630C8—22no—
1631C8—222no—
1632C8—221no—
1633C8—221no—
1634C22—21no—
1635C22—21no—
1636C22—22no—
1637C22—22no—
1638C22—24no—
1639C22—22no—
1640C22—22no—
1641C22—42no—
1642C22—41no—
1643C22—42no—
1644C22—41no—
1645C22—41no—
1646C22—41no—
1647C22—41no—
1648C22—84no—
1649C22—88no—
1650C22—112no—
1651C22—112no—
1652C22—221no—
1653C22—221no—
1654C22—221no—
1655C22—221no—
1656C22—222no—
1657C22—222no—
1658C22—224no—
1659C22—222no—
1660C22—222no—
1661C22—444no—
1662C22—448no—
1663C22—4416no—
1664C22—448no—
1665C22—442no—
1666C22—441no—
1667C22—442no—
1668C22—441no—
1669C22—441no—
1670C22—441no—
1671C22—441no—
1672C22—884no—
1673C22—888no—
1674C22—888no—
1675C22—888no—
1676C22—888no—
1677C22—884no—
1678C22D11×#12012yes—
1679C22C22×D4×D1111yescharacteristic
1680C4—22no—
1681C4—22no—
1682C4—41no—
1683C4—42no—
1684C4—112no—
1685C4—112no—
1686C4—222no—
1687C4—222no—
1688C4—442no—
1689C4—441no—
1690C4D11×#12012yes—
1691C4C22×D4×D1111yescharacteristic
1692C4C22×D4×D1111yescharacteristic
1693C2—22no—
1694C2—42no—
1695C2—44no—
1696C2—42no—
1697C2—81no—
1698C2—222no—
1699C2—222no—
1700C2—442no—
1701C2—444no—
1702C2—442no—
1703C2—881no—
1704C2C2×D11×#12011yescharacteristic
1705C2#1308339111yescharacteristic
1706C2#1308339411yescharacteristic
subgroupG/H
centerC22C22×D4×D11
commutator, cosocleC2×C4×C11C25
FrattiniC2×C4C24×D11
FittingC11×#3012C2
socleC22×C11C23×D4
hypercenter#3012D11
hypocenterC11#60367
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×#10623299C2semidirect
3. C2×D11×AGL(1,ℤ/8)C2semidirect
4. #13081944C2semidirect
5. #13077925C2semidirect
6. #13077923C2semidirect
7. #13077922C2semidirect
8. #13077920C2semidirect
9. #13077919C2semidirect
10. #13077917C2semidirect
11. #13077916C2semidirect
12. #13077890C2semidirect
13. #13077888C2semidirect
14. #13077881C2semidirect
15. #13077879C2semidirect
16. #13077859C2semidirect
17. #13077854C2semidirect
18. #13077844C2semidirect
19. #13077840C2semidirect
20. #13077132C2semidirect
21. C2×#10622383C2semidirect
22. #13077058C2semidirect
23. C11×#3012C2semidirect
24. C2×C11×H(5,𝔽2)C22semidirect
29. C2×#67042C22semidirect
30. C2×#67042C22semidirect
34. C2×#41×D11C22semidirect
35. C2×#41×D11C22semidirect
39. C2×#67037C22semidirect
43. C22×D4×D11C22semidirect
44. C2×C11×AGL(1,ℤ/8)C22semidirect
45. C2×C11×#135C22semidirect
46. C11×#537C22semidirect
47. #10623364C22semidirect
48. #10623364C22semidirect
49. C2×#67003C22semidirect
50. C2×#67003C22semidirect
51. C2×#67002C22semidirect
52. C2×#66985C22semidirect
55. C2×#66971C22semidirect
56. C2×#66971C22semidirect
57. C2×#66968C22semidirect
58. C2×#66968C22semidirect
59. C2×#66967C22semidirect
60. C2×#66967C22semidirect
61. C2×#66967C22semidirect
62. C2×SD16×D11C22semidirect
63. C2×#66964C22semidirect
64. C2×#66964C22semidirect
65. C2×#66964C22semidirect
66. C2×D8×D11C22semidirect
67. C2×#66961C22semidirect
68. C2×M16×D11C22semidirect
69. C2×#66957C22semidirect
70. C22×#4313C22semidirect
72. #10623159C22semidirect
74. #10623158C22semidirect
76. #10623138C22semidirect
78. #10623137C22semidirect
81. #10623041C22semidirect
82. C2×#66945C22semidirect
83. C11×#452C22semidirect
84. C11×#450C22semidirect
85. C11×#449C22semidirect
86. C11×#447C22semidirect
87. C11×#417C22semidirect
88. C2×C11×#102C22semidirect
89. C11×#408C22semidirect
90. #10622852C22semidirect
91. #10622851C22semidirect
92. #10622847C22semidirect
93. #10622845C22semidirect
94. #10622831C22semidirect
95. #10622830C22semidirect
96. C2×#66896C22semidirect
97. #10622800C22semidirect
98. #10622786C22semidirect
99. #10622785C22semidirect
100. #10622782C22semidirect
101. #10622782C22semidirect
102. #10622771C22semidirect
103. #10622769C22semidirect
104. #10622769C22semidirect
105. #10622746C22semidirect
106. #10622742C22semidirect
107. C2×#66885C22semidirect
108. #10622723C22semidirect
109. #10622660C22semidirect
110. #10622659C22semidirect
111. #10622650C22semidirect
112. #10622649C22semidirect
113. #10622579C22semidirect
114. C2×#66873C22semidirect
115. #10622424C22semidirect
116. #10622423C22semidirect
117. #10622417C22semidirect
118. #10622415C22semidirect
119. #10622396C22semidirect
120. #10622394C22semidirect
121. #10622389C22semidirect
122. #10622389C22semidirect
123. #10622386C22semidirect
124. #10622386C22semidirect
125. #10622385C22semidirect
126. #10622383C22semidirect
127. #10622383C22semidirect
128. #10622383C22semidirect
129. #10622383C22semidirect
130. #10622383C22semidirect
131. #10622347C22semidirect
132. #10622346C22semidirect
133. #10622345C22semidirect
134. #10622344C22semidirect
135. #10622340C22semidirect
136. #10622340C22semidirect
137. #10622339C22semidirect
138. #10622339C22semidirect
147. C2×C11×#41C23semidirect
172. #41×D11D4semidirect
180. C2×Q8×D11C23semidirect
218. C2×D4×D11D4semidirect
224. C2×D4×D11C23semidirect
234. C2×#4339C23semidirect
246. C2×C11×Q16C23semidirect
247. C2×C11×SD16C23semidirect
248. C2×C11×SD16C23semidirect
249. C2×C11×SD16C23semidirect
250. C2×C11×D8C23semidirect
251. C2×C11×D8C23semidirect
252. C2×C11×M16C23semidirect
253. C22×C8×C11C23semidirect
255. C11×C22⋊Q8C23semidirect
258. C11×#121C23semidirect
259. C2×C11×C4⋊C4C23semidirect
264. #66999C23semidirect
265. C2×#4326C23semidirect
266. C2×#4326C23semidirect
267. C2×#4325C23semidirect
268. C2×#4325C23semidirect
269. C2×#4325C23semidirect
274. #66991C23semidirect
278. C2×#4324C23semidirect
279. C2×#4324C23semidirect
280. C2×#4324C23semidirect
282. C2×#4323C23semidirect
283. C2×#4323C23semidirect
284. C2×#4323C23semidirect
285. C2×#4323C23semidirect
288. #66983C23semidirect
290. C2×C4⋊Dic11C23semidirect
292. #66977C23semidirect
294. C2×#4318C23semidirect
295. C22×C11⋊C8C23semidirect
310. C2×Dic44C23semidirect
312. C2×D88C23semidirect
313. C2×D88C23semidirect
314. C2×#4314C23semidirect
315. C2×#4314C23semidirect
316. C2×#4314C23semidirect
321. C2×#4313C23semidirect
322. C2×#4313C23semidirect
323. C2×C8×D11C23semidirect
325. #66950C23semidirect
327. #66948C23semidirect
334. #66945C23semidirect
344. C11×#103C23semidirect
345. C11×#102C23semidirect
346. C11×#102C23semidirect
347. C11×#102C23semidirect
348. C11×C22⋊C8C23semidirect
349. C11×C22⋊C8C23semidirect
350. #66899C23semidirect
351. #66896C23semidirect
352. #66896C23semidirect
353. #66896C23semidirect
354. C22⋊(C11⋊C8)C23semidirect
355. C22⋊(C11⋊C8)C23semidirect
356. #66885C23semidirect
357. #66885C23semidirect
358. #66885C23semidirect
359. (C2×D11)⋊C8C23semidirect
360. (C2×D11)⋊C8C23semidirect
361. (C2×D11)⋊C8C23semidirect
362. (C2×D11)⋊C8C23semidirect
363. #66880C23semidirect
364. #66874C23semidirect
365. #66873C23semidirect
366. #66873C23semidirect
367. #66873C23semidirect
635. #3012D11semidirect
814. C2×H(5,𝔽2)C2×D11semidirect
839. C2×AGL(1,ℤ/8)C2×D11semidirect
843. C2×#135C2×D11semidirect
851. #537C2×D11semidirect
870. #452C2×D11semidirect
878. #450C2×D11semidirect
886. #449C2×D11semidirect
894. #447C2×D11semidirect
904. #417C2×D11semidirect
910. C2×#102C2×D11semidirect
916. #408C2×D11semidirect
1033. C2×#41C22×D11semidirect
1104. C2×Q16C22×D11semidirect
1115. C2×SD16C22×D11semidirect
1116. C2×SD16C22×D11semidirect
1117. C2×SD16C22×D11semidirect
1125. C2×D8C22×D11semidirect
1126. C2×D8C22×D11semidirect
1135. C2×M16C22×D11semidirect
1138. C22×C8C22×D11semidirect
1154. C22⋊Q8C22×D11semidirect
1166. #121C22×D11semidirect
1180. C2×C4⋊C4C22×D11semidirect
1186. #103C22×D11semidirect
1196. #102C22×D11semidirect
1197. #102C22×D11semidirect
1198. #102C22×D11semidirect
1205. C22⋊C8C22×D11semidirect
1206. C22⋊C8C22×D11semidirect
1476. C11#60367semidirect

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×#106232992
C2×D11×AGL(1,ℤ/8)2
#130819442
#130779252
#130779232
#130779222
#130779202
#130779192
#130779172
#130779162
#130778902
#130778882
#130778812
#130778792
#130778592
#130778542
#130778442
#130778402
#130771322
C2×#106223832
#130770582
C11×#30122
#6036711