Finite Group Databasebeta

← #15620302

Subgroups — #15620302

Order 2816.

5126 conjugacy classes of subgroups.

The subgroup lattice has 1682 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×#10623305C211yesmaximal, characteristic, complemented
3C2×#10623300C211yesmaximal, characteristic, complemented
4#13082280C211yesmaximal, characteristic, complemented
5#13077924C212yesmaximal, complemented
6#13077921C212yesmaximal, complemented
7#13077917C211yesmaximal, characteristic, complemented
8#13077886C211yesmaximal, characteristic, complemented
9#13077884C211yesmaximal, characteristic, complemented
10#13077881C212yesmaximal, complemented
11#13077879C212yesmaximal, complemented
12#13077869C211yesmaximal, characteristic, complemented
13#13077865C212yesmaximal, complemented
14#13077844C212yesmaximal, complemented
15#13077841C211yesmaximal, characteristic, complemented
16#13077837C212yesmaximal, complemented
17#13077830C211yesmaximal, characteristic, complemented
18C2×#10622386C211yesmaximal, characteristic, complemented
19D11×#447C212yesmaximal, complemented
20#13077140C211yesmaximal, characteristic, complemented
21#13077137C211yesmaximal, characteristic, complemented
22#13077064C211yesmaximal, 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×#67042C2211yescharacteristic
29C2×#67042C2212yescomplemented
30C2×#67042C2211yescharacteristic, complemented
31C2×#67042C2211yescharacteristic, complemented
32C2×#41×D11—21no—
33C2×#41×D11C2211yescharacteristic
34C2×#41×D11C2211yescharacteristic, complemented
35C2×#41×D11C2212yescomplemented
36C2×#67037—21no—
37C2×#67037—22no—
38C2×#67037C2211yescharacteristic
39C2×#67037C2212yescomplemented
40C22×D4×D11—21no—
41C22×D4×D11—22no—
42C22×D4×D11C2212yescomplemented
43C22×D4×D11C2211yescharacteristic, complemented
44C2×C11×AGL(1,ℤ/8)C2211yescharacteristic, complemented
45C2×C11×#135C2211yescharacteristic, complemented
46C11×#537C2211yescharacteristic, complemented
47#10623361C2211yescharacteristic, complemented
48#10623359C2211yescharacteristic, complemented
49C2×#67003C2211yescharacteristic, complemented
50C2×#67002C2211yescharacteristic, complemented
51C2×#67002C2211yescharacteristic, complemented
52C22×#4323C2211yescharacteristic, complemented
53#10623305—28no—
54#10623300—28no—
55C2×#66972C2212yescomplemented
56C2×#66969C2212yescomplemented
57C2×#66967C2212yescomplemented
58C2×#66967C2212yescomplemented
59C2×#66967C2212yescomplemented
60C2×#66964C2212yescomplemented
61C2×D8×D11C2212yescomplemented
62C2×D8×D11C2212yescomplemented
63C2×#66961C2211yescharacteristic, complemented
64C2×#66960C2211yescharacteristic, complemented
65C22×D88C2211yescharacteristic, complemented
66C2×#66954C2211yescharacteristic, complemented
67#10623164—21no—
68#10623161—21no—
69#10623160C2212yescomplemented
70#10623158C2212yescomplemented
71#10623141—22no—
72#10623140—21no—
73#10623140—22no—
74#10623138C2212yescomplemented
75D11×#121C2212yescomplemented
76#10623130—21no—
77C2×#66948C2211yescharacteristic, complemented
78#10623035C2211yescharacteristic, complemented
79C11×#452C2212yescomplemented
80C11×#450C2212yescomplemented
81C11×#449C2212yescomplemented
82C11×#447C2212yescomplemented
83C11×#417C2211yescharacteristic, complemented
84C2×C11×#102C2211yescharacteristic, complemented
85C11×#408C2211yescharacteristic, complemented
86#10622851C2212yescomplemented
87#10622851C2212yescomplemented
88#10622847C2211yescharacteristic, complemented
89#10622846C2211yescharacteristic, complemented
90#10622830C2212yescomplemented
91#10622830C2212yescomplemented
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#10622424C2212yescomplemented
116#10622419C2212yescomplemented
117#10622417C2212yescomplemented
118#10622416C2212yescomplemented
119#10622394C2212yescomplemented
120#10622386C2212yescomplemented
121#10622386C2212yescomplemented
122#10622386C2212yescomplemented
123#10622386C2212yescomplemented
124#10622386C2212yescomplemented
125#10622385C2212yescomplemented
126#10622384C2212yescomplemented
127#10622383C2212yescomplemented
128#10622383C2212yescomplemented
129D11×#102C2212yescomplemented
130D11×#102C2212yescomplemented
131#10622347C2212yescomplemented
132#10622347C2212yescomplemented
133#10622345C2212yescomplemented
134#10622345C2212yescomplemented
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#67042—216no—
158#67042—28no—
159#67042—28no—
160#67042—24no—
161#67042—24no—
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×#4343C2312yescomplemented
178C2×Q8×D11D411yescharacteristic
179C2×Q8×D11C2311yescharacteristic
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—21no—
189C2×#4341—22no—
190C2×#4341D411yescharacteristic
191C2×#4341D412yes—
192C2×#4341C2311yescharacteristic
193C2×#4341C2312yes—
194C2×D4×D11—232no—
195C2×D4×D11—216no—
196C2×D4×D11—22no—
197C2×D4×D11—21no—
198C2×D4×D11—22no—
199C2×D4×D11—21no—
200C2×D4×D11—24no—
201C2×D4×D11—22no—
202C2×D4×D11—22no—
203C2×D4×D11—22no—
204C2×D4×D11—28no—
205C2×D4×D11—28no—
206C2×D4×D11—22no—
207C2×D4×D11—22no—
208C2×D4×D11—21no—
209C2×D4×D11—22no—
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×D4×D11C2312yescomplemented
223C2×#4339—22no—
224C2×#4339—21no—
225C2×#4339—21no—
226C2×#4339—22no—
227C2×#4339—21no—
228C2×#4339C2312yes—
229C2×#4339C2311yescharacteristic
230C2×#4339C2312yes—
231C2×#4339C2311yescharacteristic
232C22×D44—21no—
233C22×D44—22no—
234C22×D44—21no—
235C22×D44—21no—
236C22×D44C2312yes—
237C22×D44C2311yescharacteristic
238C22×D44C2311yescharacteristic, complemented
239C22×C4×D11—22no—
240C22×C4×D11—21no—
241C22×C4×D11C2311yescharacteristic
242C22×C4×D11C2312yes—
243C11×AGL(1,ℤ/8)—24no—
244C11×#135—24no—
245C2×C11×Q16C2311yescharacteristic, complemented
246C2×C11×SD16C2311yescharacteristic, complemented
247C2×C11×SD16C2311yescharacteristic, complemented
248C2×C11×SD16C2312yescomplemented
249C2×C11×D8C2312yescomplemented
250C2×C11×D8C2311yescharacteristic, complemented
251C2×C11×M16C2311yescharacteristic, complemented
252C22×C8×C11C2311yescharacteristic, complemented
253C11×C22⋊Q8—21no—
254C11×C22⋊Q8C2312yescomplemented
255C11×#121—21no—
256C11×#121—22no—
257C11×#121C2312yescomplemented
258C2×C11×C4⋊C4C2311yescharacteristic, complemented
259#67003—24no—
260#67002—24no—
261#67002—24no—
262#67000—21no—
263#66999C2311yescharacteristic
264#66999C2311yescharacteristic, complemented
265C2×#4326C2311yescharacteristic, complemented
266C2×#4325C2311yescharacteristic, complemented
267C2×#4325C2312yescomplemented
268C2×#4325C2312yescomplemented
269#66993—21no—
270#66993—22no—
271#66992—22no—
272#66991C2311yescharacteristic
273#66991C2311yescharacteristic, complemented
274#66990—21no—
275#66990—22no—
276#66990—22no—
277#66988—21no—
278C2×#4324C2311yescharacteristic, complemented
279C2×#4323—24no—
280C2×#4323C2312yescomplemented
281C2×#4323C2311yescharacteristic, complemented
282C2×#4323C2312yescomplemented
283C2×#4323C2312yescomplemented
284C2×#4323C2312yescomplemented
285#66983C2312yescomplemented
286#66983C2312yescomplemented
287C4×C22⋊D11—22no—
288C4×C22⋊D11—21no—
289C4×C22⋊D11—21no—
290C2×(C2×D11)⋊C4—21no—
291#66979C2311yescharacteristic, complemented
292C2×#4318C2311yescharacteristic, complemented
293C22×C11⋊C8C2311yescharacteristic, complemented
294#66972—28no—
295#66969—28no—
296#66967—28no—
297#66967—28no—
298#66967—28no—
299#66964—28no—
300D8×D11—28no—
301D8×D11—28no—
302#66961—24no—
303#66960—24no—
304C2×D88—24no—
305C2×D88C2312yescomplemented
306C2×D88C2312yescomplemented
307C2×D88C2312yescomplemented
308C2×#4314C2312yescomplemented
309#66954—24no—
310C2×#4313C2312yescomplemented
311C2×#4313C2312yescomplemented
312C2×C8×D11C2312yescomplemented
313C2×C8×D11C2312yescomplemented
314#66949—22no—
315#66948—22no—
316#66948—21no—
317#66948—21no—
318#66948C2312yes—
319#66948C2312yescomplemented
320#66947—22no—
321#66946—21no—
322#66946—22no—
323#66945C2312yescomplemented
324C4⋊C4×D11C2312yescomplemented
325#66940—21no—
326#66938—22no—
327#66937—22no—
328#66937—22no—
329#66937—22no—
330#66935—22no—
331#66935—22no—
332(C22⋊D11)⋊C4—22no—
333C22⋊C4×D11—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#60372—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—21no—
377C23×D11—22no—
378C23×D11—82no—
379C23×D11—84no—
380C23×D11—84no—
381C23×D11—82no—
382C23×D11C2×D412yes—
383C23×D11C2×D411yescharacteristic
384C11×#41—28no—
385C11×#41—24no—
386C11×#41—24no—
387C11×#41—22no—
388C11×#41—22no—
389C11×#41—22no—
390C11×#41—22no—
391C11×#41—22no—
392C11×#41C2×D414yescomplemented
393C2×Q8×C11C2×D411yescharacteristic
394C2×Q8×C11C2411yescharacteristic
395C2×Q8×C11C2411yescharacteristic
396C2×D4×C11—216no—
397C2×D4×C11—28no—
398C2×D4×C11—22no—
399C2×D4×C11—21no—
400C2×D4×C11—24no—
401C2×D4×C11—24no—
402C2×D4×C11—21no—
403C2×D4×C11—22no—
404C2×D4×C11—22no—
405C2×D4×C11—21no—
406C2×D4×C11—22no—
407C2×D4×C11C2×D412yes—
408C2×D4×C11C2×D411yescharacteristic
409C2×D4×C11C2×D414yescomplemented
410C2×D4×C11C2411yescharacteristic
411C2×D4×C11C2412yes—
412C2×D4×C11C2411yescharacteristic
413C22×C4×C11—22no—
414C22×C4×C11—21no—
415C22×C4×C11—21no—
416C22×C4×C11—21no—
417C22×C4×C11C2412yes—
418C22×C4×C11C2411yescharacteristic
419C2×C22⋊D11—216no—
420C2×C22⋊D11—216no—
421C2×C22⋊D11—28no—
422C2×C22⋊D11—216no—
423C2×C22⋊D11—216no—
424C2×C22⋊D11—22no—
425C2×C22⋊D11—21no—
426C2×C22⋊D11—22no—
427C2×C22⋊D11—22no—
428C2×C22⋊D11—22no—
429C2×C22⋊D11—22no—
430C2×C22⋊D11—22no—
431C2×C22⋊D11—21no—
432C2×C22⋊D11—22no—
433C2×C22⋊D11—22no—
434C2×C22⋊D11—21no—
435C2×C22⋊D11—22no—
436C2×C22⋊D11—21no—
437C2×C22⋊D11—21no—
438C2×C22⋊D11C2×D412yes—
439C2×C22⋊D11C2×D412yes—
440C2×C22⋊D11C2×D412yes—
441C22×Dic11—21no—
442C22×Dic11—22no—
443C22×Dic11C2×D412yes—
444C22×Dic11C2×D411yescharacteristic
445#4343—28no—
446#4343—24no—
447#4343—22no—
448#4343—24no—
449#4343—24no—
450#4343—24no—
451#4343—22no—
452#4343C2×D418yescomplemented
453Q8×D11—24no—
454Q8×D11—22no—
455Q8×D11—22no—
456#4341—216no—
457#4341—216no—
458#4341—28no—
459#4341—28no—
460#4341—24no—
461#4341—28no—
462#4341—24no—
463#4341—22no—
464#4341—22no—
465#4341C2×D418yescomplemented
466D4×D11—216no—
467D4×D11—216no—
468D4×D11—28no—
469D4×D11—28no—
470D4×D11—216no—
471D4×D11—216no—
472D4×D11—216no—
473D4×D11—216no—
474D4×D11—216no—
475D4×D11—28no—
476D4×D11—28no—
477D4×D11—28no—
478D4×D11—216no—
479D4×D11—24no—
480D4×D11—28no—
481D4×D11—22no—
482D4×D11—24no—
483D4×D11—24no—
484D4×D11—24no—
485D4×D11—24no—
486D4×D11—24no—
487D4×D11—24no—
488D4×D11—24no—
489D4×D11—22no—
490D4×D11—24no—
491D4×D11—48no—
492D4×D11—84no—
493D4×D11C2×D418yescomplemented
494D4×D11C2×D418yescomplemented
495#4339—216no—
496#4339—216no—
497#4339—28no—
498#4339—24no—
499#4339—24no—
500#4339—24no—
501#4339—28no—
502#4339—24no—
503#4339—22no—
504#4339—44no—
505#4339C2×D414yes—
506#4339C2×D414yes—
507#4339C2×D414yescomplemented
508C2×D44—216no—
509C2×D44—28no—
510C2×D44—24no—
511C2×D44—24no—
512C2×D44—21no—
513C2×D44—22no—
514C2×D44—22no—
515C2×D44—22no—
516C2×D44—22no—
517C2×D44—22no—
518C2×D44—21no—
519C2×D44—22no—
520C2×D44—21no—
521C2×D44—22no—
522C2×D44—22no—
523C2×D44—44no—
524C2×D44—82no—
525C2×D44C2×D412yes—
526C2×D44C2×D411yescharacteristic
527C2×D44C2×D414yescomplemented
528C2×D44C2412yes—
529C2×D44C2411yescharacteristic
530C2×D44C2412yes—
531C2×C4×D11—216no—
532C2×C4×D11—28no—
533C2×C4×D11—21no—
534C2×C4×D11—22no—
535C2×C4×D11—24no—
536C2×C4×D11—24no—
537C2×C4×D11—22no—
538C2×C4×D11—21no—
539C2×C4×D11—22no—
540C2×C4×D11—22no—
541C2×C4×D11—21no—
542C2×C4×D11—22no—
543C2×C4×D11—22no—
544C2×C4×D11C2×D412yes—
545C2×C4×D11C2×D412yes—
546C2×C4×D11C2×D411yescharacteristic
547C2×C4×D11C2×D411yescharacteristic
548C2×C4×D11C2411yescharacteristic
549C2×C4×D11C2411yescharacteristic
550C2×C4×D11C2412yes—
551C2×Dic22—21no—
552C2×Dic22C2×D412yes—
553C2×Dic22C2×D411yescharacteristic
554C2×Dic22C2411yescharacteristic
555C11×Q16—22no—
556C11×SD16—22no—
557C11×SD16—22no—
558C11×SD16—24no—
559C11×D8—22no—
560C11×D8—24no—
561C11×M16—22no—
562C2×C8×C11—22no—
563C2×C8×C11C2411yescharacteristic
564C2×C8×C11C2411yescharacteristic
565C2×C8×C11C2412yes—
566C11×C4⋊C4—21no—
567C11×C4⋊C4—22no—
568C11×C4⋊C4C2412yes—
569C11×C22⋊C4—22no—
570C11×C22⋊C4—22no—
571C22⋊Dic11—21no—
572C22⋊Dic11—21no—
573C22⋊Dic11—21no—
574#4326—22no—
575#4325—22no—
576#4325—24no—
577#4325—24no—
578#4324—22no—
579#4323—22no—
580#4323—24no—
581#4323—24no—
582#4323—24no—
583#4323—24no—
584(C2×D11)⋊C4—22no—
585(C2×D11)⋊C4—22no—
586(C2×D11)⋊C4—22no—
587(C2×D11)⋊C4—21no—
588(C2×D11)⋊C4—21no—
589(C2×D11)⋊C4—22no—
590(C2×D11)⋊C4—22no—
591C4⋊Dic11C2411yescharacteristic
592C4⋊Dic11C2411yescharacteristic
593Dic11⋊C4—21no—
594Dic11⋊C4—22no—
595Dic11⋊C4—21no—
596C4×Dic11—22no—
597C4×Dic11—21no—
598#4318—22no—
599C2×C11⋊C8—22no—
600C2×C11⋊C8C2411yescharacteristic
601C2×C11⋊C8C2411yescharacteristic
602C2×C11⋊C8C2412yes—
603D88—24no—
604D88—24no—
605D88—24no—
606#4314—24no—
607#4313—24no—
608#4313—24no—
609C8×D11—24no—
610C8×D11—24no—
611C22×H(5,𝔽2)—111no—
612C2×#576—111no—
613C2×#576—111no—
614#3488—111no—
615#3012—112no—
616#3012—112no—
617#3012—111no—
618#3012D1111yescharacteristic, complemented
619#3008—112no—
620#3008—112no—
621#3008—111no—
622#3008—111no—
623#3006—112no—
624#3006—111no—
625#3003—112no—
626#3003—111no—
627#3002—112no—
628#3002—111no—
629C2×#447—112no—
630C2×#447—111no—
631#2897—111no—
632#2897—111no—
633#2880—111no—
634C23×C11—28no—
635C23×C11—22no—
636C23×C11—21no—
637C23×C11—24no—
638C23×C11—21no—
639C23×C11—81no—
640C23×C11—81no—
641C23×C11—82no—
642C23×C11—82no—
643C23×C11C22×D412yes—
644C23×C11C22×D411yescharacteristic
645C22×D11—28no—
646C22×D11—24no—
647C22×D11—22no—
648C22×D11—22no—
649C22×D11—21no—
650C22×D11—28no—
651C22×D11—28no—
652C22×D11—24no—
653C22×D11—24no—
654C22×D11—22no—
655C22×D11—24no—
656C22×D11—28no—
657C22×D11—28no—
658C22×D11—22no—
659C22×D11—42no—
660C22×D11—41no—
661C22×D11—42no—
662C22×D11—44no—
663C22×D11—44no—
664C22×D11—42no—
665C22×D11—42no—
666C22×D11—44no—
667C22×D11—82no—
668C22×D11—82no—
669C22×D11—82no—
670C22×D11—82no—
671C22×D11—82no—
672C22×D11—82no—
673C22×D11—82no—
674C22×D11—82no—
675C22×D11—832no—
676C22×D11—816no—
677C22×D11—81no—
678C22×D11—82no—
679C22×D11—81no—
680C22×D11—82no—
681C22×D11—81no—
682C22×D11—81no—
683C22×D11C22×D411yescharacteristic
684C22×D11C22×D412yes—
685C22×D11C22×D411yescharacteristic
686Q8×C11—22no—
687Q8×C11—21no—
688Q8×C11—21no—
689Q8×C11—21no—
690Q8×C11C22×D412yes—
691D4×C11—28no—
692D4×C11—28no—
693D4×C11—24no—
694D4×C11—24no—
695D4×C11—22no—
696D4×C11—24no—
697D4×C11—22no—
698D4×C11—21no—
699D4×C11—21no—
700D4×C11—21no—
701D4×C11—42no—
702D4×C11—82no—
703D4×C11C22×D414yes—
704D4×C11C22×D412yes—
705C2×C4×C11—28no—
706C2×C4×C11—21no—
707C2×C4×C11—24no—
708C2×C4×C11—22no—
709C2×C4×C11—22no—
710C2×C4×C11—22no—
711C2×C4×C11—21no—
712C2×C4×C11—42no—
713C2×C4×C11—81no—
714C2×C4×C11C22×D412yes—
715C2×C4×C11C22×D411yescharacteristic
716C2×C4×C11C22×D412yes—
717C2×C4×C11C22×D412yes—
718C2×C4×C11C2511yescharacteristic
719C22⋊D11—28no—
720C22⋊D11—28no—
721C22⋊D11—24no—
722C22⋊D11—28no—
723C22⋊D11—24no—
724C22⋊D11—24no—
725C22⋊D11—24no—
726C22⋊D11—28no—
727C22⋊D11—24no—
728C22⋊D11—28no—
729C22⋊D11—28no—
730C22⋊D11—42no—
731C22⋊D11—44no—
732C22⋊D11—81no—
733C22⋊D11—82no—
734C22⋊D11—82no—
735C22⋊D11#12018yes—
736C2×Dic11—24no—
737C2×Dic11—22no—
738C2×Dic11—21no—
739C2×Dic11—24no—
740C2×Dic11—28no—
741C2×Dic11—21no—
742C2×Dic11—21no—
743C2×Dic11C22×D411yescharacteristic
744C2×Dic11C22×D411yescharacteristic
745C2×Dic11C22×D412yes—
746D44—24no—
747D44—28no—
748D44—28no—
749D44—24no—
750D44—24no—
751D44—21no—
752D44—22no—
753D44—22no—
754D44—22no—
755D44—44no—
756D44—44no—
757D44—42no—
758D44—82no—
759D44#12014yes—
760D44C22×D412yes—
761D44C22×D414yes—
762C4×D11—24no—
763C4×D11—24no—
764C4×D11—28no—
765C4×D11—24no—
766C4×D11—22no—
767C4×D11—24no—
768C4×D11—22no—
769C4×D11—21no—
770C4×D11—21no—
771C4×D11—21no—
772C4×D11—21no—
773C4×D11—24no—
774C4×D11—28no—
775C4×D11—44no—
776C4×D11—82no—
777C4×D11C22×D414yes—
778C4×D11C22×D414yes—
779Dic22—24no—
780Dic22—21no—
781Dic22—24no—
782Dic22#12014yes—
783Dic22C22×D412yes—
784C8×C11—21no—
785C8×C11—22no—
786C8×C11—21no—
787C11⋊C8—21no—
788C11⋊C8—22no—
789C11⋊C8—21no—
790C2×H(5,𝔽2)—111no—
791C2×H(5,𝔽2)—112no—
792C2×H(5,𝔽2)—111no—
793C2×H(5,𝔽2)—111no—
794C2×H(5,𝔽2)—111no—
795C2×H(5,𝔽2)—112no—
796C2×H(5,𝔽2)—222no—
797C2×H(5,𝔽2)—221no—
798C2×H(5,𝔽2)—221no—
799C2×H(5,𝔽2)—228no—
800C2×H(5,𝔽2)—228no—
801C2×H(5,𝔽2)C2×D1111yescharacteristic, complemented
802C22×#41—111no—
803C22×#41—112no—
804C22×#41—111no—
805C22×#41—221no—
806C23×D4—112no—
807C23×D4—111no—
808C23×D4—222no—
809C23×D4—221no—
810#576—228no—
811#576—228no—
812C2×AGL(1,ℤ/8)—111no—
813C2×AGL(1,ℤ/8)—111no—
814C2×AGL(1,ℤ/8)—112no—
815C2×AGL(1,ℤ/8)—112no—
816C2×AGL(1,ℤ/8)—112no—
817C2×AGL(1,ℤ/8)—112no—
818C2×AGL(1,ℤ/8)—111no—
819C2×AGL(1,ℤ/8)C2×D1111yescharacteristic, complemented
820C2×#135—111no—
821C2×#135—112no—
822C2×#135—112no—
823C2×#135C2×D1111yescharacteristic, complemented
824C22×D8—111no—
825C22×D8—112no—
826C22×D8—112no—
827C22×D8—111no—
828C2×#131—111no—
829C2×#131—111no—
830#550—221no—
831#548—221no—
832#546—222no—
833#546—221no—
834D42—222no—
835D42—221no—
836#537—112no—
837#537C2×D1111yescharacteristic, complemented
838#535—111no—
839#535—112no—
840#525—111no—
841#525—112no—
842C2×#121—112no—
843C2×#121—111no—
844#520—111no—
845#452—111no—
846#452—111no—
847#452—112no—
848#452C2×D1112yescomplemented
849#451—111no—
850#450—112no—
851#450—111no—
852#450—112no—
853#450—112no—
854#450C2×D1112yescomplemented
855#449—112no—
856#449—112no—
857#449—111no—
858#449—111no—
859#449—112no—
860#449—112no—
861#449—112no—
862#449—112no—
863#449—112no—
864#449C2×D1112yescomplemented
865#448—111no—
866#448—112no—
867#447—112no—
868#447—112no—
869#447—111no—
870#447—112no—
871#447—112no—
872#447—112no—
873#447—112no—
874#447—112no—
875#447—112no—
876#447—112no—
877#447—112no—
878#447—112no—
879#447—112no—
880#447C2×D1112yescomplemented
881#418—111no—
882#418—111no—
883#418—112no—
884#418—112no—
885#417—111no—
886#417—112no—
887#417—112no—
888#417C2×D1111yescharacteristic, complemented
889#416—111no—
890#416—111no—
891#416—112no—
892#416—112no—
893C2×#102—111no—
894C2×#102—112no—
895C2×#102—112no—
896C2×#102C2×D1111yescharacteristic, complemented
897#408—111no—
898#408—112no—
899#408—112no—
900#408C2×D1111yescharacteristic, complemented
901#407—111no—
902#407—112no—
903C2×C22⋊C8—111no—
904C2×C22⋊C8—112no—
905C22×C11—21no—
906C22×C11—21no—
907C22×C11—22no—
908C22×C11—22no—
909C22×C11—24no—
910C22×C11—22no—
911C22×C11—22no—
912C22×C11—41no—
913C22×C11—42no—
914C22×C11—41no—
915C22×C11—42no—
916C22×C11—41no—
917C22×C11—41no—
918C22×C11—41no—
919C22×C11—84no—
920C22×C11—88no—
921C22×C11C2×#12012yes—
922C22×C11C23×D411yescharacteristic
923C2×D11—21no—
924C2×D11—22no—
925C2×D11—21no—
926C2×D11—22no—
927C2×D11—21no—
928C2×D11—24no—
929C2×D11—22no—
930C2×D11—21no—
931C2×D11—21no—
932C2×D11—48no—
933C2×D11—44no—
934C2×D11—48no—
935C2×D11—416no—
936C2×D11—41no—
937C2×D11—42no—
938C2×D11—41no—
939C2×D11—42no—
940C2×D11—42no—
941C2×D11—42no—
942C2×D11—42no—
943C2×D11—88no—
944C2×D11—88no—
945C2×D11—84no—
946C2×D11—88no—
947C2×D11—88no—
948C2×D11—164no—
949C2×D11—162no—
950C2×D11C2×#12014yes—
951C2×D11#57612yescomplemented
952C4×C11—22no—
953C4×C11—22no—
954C4×C11—41no—
955C4×C11—42no—
956C4×C11C2×#12012yes—
957C4×C11C23×D411yescharacteristic
958C4×C11C23×D411yescharacteristic
959Dic11—21no—
960Dic11—21no—
961Dic11—22no—
962Dic11—41no—
963Dic11—41no—
964Dic11C2×#12014yes—
965C25—222no—
966C25—221no—
967H(5,𝔽2)—24no—
968H(5,𝔽2)—24no—
969H(5,𝔽2)—118no—
970H(5,𝔽2)—118no—
971H(5,𝔽2)—228no—
972H(5,𝔽2)—228no—
973H(5,𝔽2)—224no—
974H(5,𝔽2)—2232no—
975H(5,𝔽2)—2216no—
976H(5,𝔽2)—228no—
977H(5,𝔽2)—224no—
978H(5,𝔽2)—224no—
979H(5,𝔽2)—228no—
980H(5,𝔽2)—224no—
981H(5,𝔽2)—2216no—
982H(5,𝔽2)—224no—
983H(5,𝔽2)—224no—
984C2×#41—21no—
985C2×#41—111no—
986C2×#41—112no—
987C2×#41—111no—
988C2×#41—111no—
989C2×#41—112no—
990C2×#41—112no—
991C2×#41—112no—
992C2×#41—111no—
993C2×#41—112no—
994C2×#41—111no—
995C2×#41—111no—
996C2×#41—112no—
997C2×#41—222no—
998C2×#41—221no—
999C2×#41—221no—
1000C2×#41—222no—
1001C2×#41—221no—
1002C2×#41—221no—
1003C2×#41—222no—
1004C2×#41—221no—
1005C2×#41—222no—
1006C2×#41—224no—
1007C2×#41—224no—
1008C2×#41—228no—
1009C2×#41—228no—
1010C2×#41—224no—
1011C2×#41—2216no—
1012C2×#41—224no—
1013C2×#41—221no—
1014C2×#41C22×D1112yes—
1015C2×#41C22×D1111yescharacteristic
1016C2×#41C22×D1111yescharacteristic
1017C2×#41C22×D1111yescharacteristic, complemented
1018C22×Q8—111no—
1019C22×Q8—111no—
1020C22×D4—22no—
1021C22×D4—21no—
1022C22×D4—112no—
1023C22×D4—112no—
1024C22×D4—112no—
1025C22×D4—111no—
1026C22×D4—112no—
1027C22×D4—111no—
1028C22×D4—112no—
1029C22×D4—112no—
1030C22×D4—111no—
1031C22×D4—111no—
1032C22×D4—112no—
1033C22×D4—221no—
1034C22×D4—222no—
1035C22×D4—221no—
1036C22×D4—221no—
1037C22×D4—222no—
1038C22×D4—221no—
1039C22×D4—222no—
1040C22×D4—221no—
1041C22×D4—221no—
1042C22×D4—222no—
1043C22×D4—228no—
1044C22×D4—228no—
1045C22×D4—224no—
1046C22×D4—222no—
1047C22×D4—222no—
1048C22×D4—222no—
1049C22×D4—221no—
1050C22×D4—222no—
1051C22×D4—222no—
1052C22×D4—222no—
1053C22×D4—221no—
1054C22×D4—2216no—
1055C22×D4—2232no—
1056C22×D4—222no—
1057C22×D4—222no—
1058C22×D4—222no—
1059C22×D4—222no—
1060C22×D4—222no—
1061C22×D4—221no—
1062C22×D4—224no—
1063C22×D4C22×D1112yes—
1064C22×D4C22×D1111yescharacteristic
1065C23×C4—112no—
1066C23×C4—111no—
1067C23×C4—222no—
1068C23×C4—221no—
1069AGL(1,ℤ/8)—24no—
1070AGL(1,ℤ/8)—224no—
1071AGL(1,ℤ/8)—228no—
1072AGL(1,ℤ/8)—228no—
1073AGL(1,ℤ/8)—228no—
1074AGL(1,ℤ/8)—228no—
1075AGL(1,ℤ/8)—224no—
1076AGL(1,ℤ/8)—224no—
1077#135—24no—
1078#135—228no—
1079#135—228no—
1080#135—224no—
1081C2×Q16—111no—
1082C2×Q16C22×D1111yescharacteristic, complemented
1083C2×SD16—112no—
1084C2×SD16—111no—
1085C2×SD16—112no—
1086C2×SD16—111no—
1087C2×SD16—112no—
1088C2×SD16C22×D1112yescomplemented
1089C2×SD16C22×D1111yescharacteristic, complemented
1090C2×SD16C22×D1111yescharacteristic, complemented
1091C2×D8—111no—
1092C2×D8—112no—
1093C2×D8—112no—
1094C2×D8—112no—
1095C2×D8—112no—
1096C2×D8—112no—
1097C2×D8—112no—
1098C2×D8—112no—
1099C2×D8—224no—
1100C2×D8—228no—
1101C2×D8—228no—
1102C2×D8—224no—
1103C2×D8C22×D1111yescharacteristic, complemented
1104C2×D8C22×D1112yescomplemented
1105#131—224no—
1106#131—224no—
1107C2×M16—111no—
1108C2×M16—112no—
1109C2×M16—112no—
1110C2×M16C22×D1111yescharacteristic, complemented
1111C22×C8—111no—
1112C22×C8—112no—
1113C22×C8—112no—
1114C22×C8C22×D1111yescharacteristic, complemented
1115#127—222no—
1116#127—221no—
1117#124—222no—
1118#124—221no—
1119#123—222no—
1120#123—221no—
1121C22⋊Q8—21no—
1122C22⋊Q8—111no—
1123C22⋊Q8—111no—
1124C22⋊Q8—222no—
1125C22⋊Q8C22×D1112yescomplemented
1126#121—22no—
1127#121—21no—
1128#121—111no—
1129#121—111no—
1130#121—112no—
1131#121—112no—
1132#121—112no—
1133#121—112no—
1134#121—222no—
1135#121—222no—
1136#121—222no—
1137#121—221no—
1138#121—221no—
1139#121—222no—
1140#121—222no—
1141#121C22×D1112yescomplemented
1142#120—222no—
1143#120—222no—
1144#120—222no—
1145#120—221no—
1146#120—222no—
1147C4×Q8—221no—
1148C4×D4—222no—
1149C4×D4—222no—
1150C4×D4—221no—
1151C4×D4—221no—
1152C4×D4—221no—
1153C4×D4—222no—
1154#117—111no—
1155#117—112no—
1156C2×C4⋊C4—112no—
1157C2×C4⋊C4C22×D1111yescharacteristic, complemented
1158C2×C22⋊C4—222no—
1159C2×C22⋊C4—221no—
1160#103—111no—
1161#103—111no—
1162#103—111no—
1163#103—111no—
1164#103—112no—
1165#103C22×D1112yescomplemented
1166#102—111no—
1167#102—112no—
1168#102—112no—
1169#102—111no—
1170#102—111no—
1171#102—112no—
1172#102—112no—
1173#102—111no—
1174#102—112no—
1175#102—112no—
1176#102—112no—
1177#102C22×D1112yescomplemented
1178#102C22×D1112yescomplemented
1179#102C22×D1112yescomplemented
1180C22⋊C8—112no—
1181C22⋊C8—112no—
1182C22⋊C8—111no—
1183C22⋊C8—112no—
1184C22⋊C8—111no—
1185C22⋊C8—111no—
1186C22⋊C8—111no—
1187C22⋊C8—112no—
1188C22⋊C8C22×D1112yescomplemented
1189C22⋊C8C22×D1112yescomplemented
1190C2×C11—22no—
1191C2×C11—42no—
1192C2×C11—42no—
1193C2×C11—44no—
1194C2×C11—81no—
1195C2×C11C22×#12011yescharacteristic
1196C2×C11C2×#57611yescharacteristic
1197C2×C11#358511yescharacteristic
1198D11—22no—
1199D11—24no—
1200D11—41no—
1201D11—42no—
1202D11—44no—
1203D11—82no—
1204C24—22no—
1205C24—21no—
1206C24—112no—
1207C24—111no—
1208C24—221no—
1209C24—222no—
1210C24—222no—
1211C24—222no—
1212C24—222no—
1213C24—222no—
1214C24—2216no—
1215C24—228no—
1216C24—222no—
1217C24—221no—
1218C24—221no—
1219C24—882no—
1220C24—884no—
1221C24—882no—
1222C24—884no—
1223#41—28no—
1224#41—24no—
1225#41—24no—
1226#41—22no—
1227#41—22no—
1228#41—22no—
1229#41—22no—
1230#41—22no—
1231#41—114no—
1232#41—114no—
1233#41—118no—
1234#41—118no—
1235#41—114no—
1236#41—224no—
1237#41—224no—
1238#41—224no—
1239#41—224no—
1240#41—228no—
1241#41—2216no—
1242#41—2216no—
1243#41—228no—
1244#41—224no—
1245#41—224no—
1246#41—224no—
1247#41—224no—
1248#41—228no—
1249#41—224no—
1250#41—222no—
1251#41—228no—
1252#41—2216no—
1253#41—2216no—
1254#41—228no—
1255#41—224no—
1256#41—222no—
1257#41—228no—
1258#41—222no—
1259#41—222no—
1260#41—222no—
1261#41—444no—
1262#41D4×D1114yescomplemented
1263C2×Q8—111no—
1264C2×Q8—112no—
1265C2×Q8—111no—
1266C2×Q8—221no—
1267C2×Q8—224no—
1268C2×Q8—222no—
1269C2×Q8—222no—
1270C2×Q8D4×D1111yescharacteristic
1271C2×Q8C23×D1111yescharacteristic
1272C2×Q8C23×D1111yescharacteristic
1273C2×D4—216no—
1274C2×D4—28no—
1275C2×D4—22no—
1276C2×D4—21no—
1277C2×D4—24no—
1278C2×D4—24no—
1279C2×D4—21no—
1280C2×D4—22no—
1281C2×D4—22no—
1282C2×D4—21no—
1283C2×D4—22no—
1284C2×D4—112no—
1285C2×D4—118no—
1286C2×D4—118no—
1287C2×D4—112no—
1288C2×D4—112no—
1289C2×D4—111no—
1290C2×D4—114no—
1291C2×D4—112no—
1292C2×D4—111no—
1293C2×D4—112no—
1294C2×D4—112no—
1295C2×D4—224no—
1296C2×D4—224no—
1297C2×D4—228no—
1298C2×D4—222no—
1299C2×D4—221no—
1300C2×D4—2216no—
1301C2×D4—222no—
1302C2×D4—222no—
1303C2×D4—222no—
1304C2×D4—224no—
1305C2×D4—224no—
1306C2×D4—224no—
1307C2×D4—224no—
1308C2×D4—222no—
1309C2×D4—222no—
1310C2×D4—221no—
1311C2×D4—222no—
1312C2×D4—222no—
1313C2×D4—222no—
1314C2×D4—228no—
1315C2×D4—224no—
1316C2×D4—224no—
1317C2×D4—222no—
1318C2×D4—224no—
1319C2×D4—2216no—
1320C2×D4—228no—
1321C2×D4—2216no—
1322C2×D4—2216no—
1323C2×D4—228no—
1324C2×D4—228no—
1325C2×D4—2216no—
1326C2×D4—2216no—
1327C2×D4—2216no—
1328C2×D4—2216no—
1329C2×D4—2216no—
1330C2×D4—228no—
1331C2×D4—228no—
1332C2×D4—2216no—
1333C2×D4—222no—
1334C2×D4—221no—
1335C2×D4—2216no—
1336C2×D4—2216no—
1337C2×D4—2216no—
1338C2×D4—228no—
1339C2×D4—222no—
1340C2×D4—221no—
1341C2×D4—222no—
1342C2×D4—224no—
1343C2×D4—224no—
1344C2×D4—221no—
1345C2×D4—221no—
1346C2×D4—222no—
1347C2×D4—222no—
1348C2×D4—222no—
1349C2×D4—221no—
1350C2×D4—222no—
1351C2×D4—222no—
1352C2×D4—222no—
1353C2×D4—221no—
1354C2×D4—444no—
1355C2×D4—448no—
1356C2×D4—882no—
1357C2×D4—884no—
1358C2×D4D4×D1112yes—
1359C2×D4D4×D1111yescharacteristic
1360C2×D4D4×D1114yescomplemented
1361C2×D4C23×D1111yescharacteristic
1362C2×D4C23×D1111yescharacteristic
1363C2×D4C23×D1112yes—
1364C22×C4—22no—
1365C22×C4—21no—
1366C22×C4—21no—
1367C22×C4—21no—
1368C22×C4—112no—
1369C22×C4—111no—
1370C22×C4—112no—
1371C22×C4—112no—
1372C22×C4—112no—
1373C22×C4—111no—
1374C22×C4—111no—
1375C22×C4—111no—
1376C22×C4—111no—
1377C22×C4—224no—
1378C22×C4—224no—
1379C22×C4—222no—
1380C22×C4—221no—
1381C22×C4—222no—
1382C22×C4—221no—
1383C22×C4—2216no—
1384C22×C4—228no—
1385C22×C4—222no—
1386C22×C4—222no—
1387C22×C4—221no—
1388C22×C4—222no—
1389C22×C4—222no—
1390C22×C4—222no—
1391C22×C4—221no—
1392C22×C4C23×D1112yes—
1393C22×C4C23×D1111yescharacteristic
1394Q16—22no—
1395Q16—222no—
1396SD16—22no—
1397SD16—22no—
1398SD16—24no—
1399SD16—224no—
1400SD16—222no—
1401SD16—222no—
1402SD16—224no—
1403SD16—224no—
1404D8—22no—
1405D8—24no—
1406D8—224no—
1407D8—224no—
1408D8—224no—
1409D8—222no—
1410D8—224no—
1411D8—224no—
1412D8—224no—
1413D8—224no—
1414M16—22no—
1415M16—224no—
1416M16—224no—
1417M16—222no—
1418C2×C8—22no—
1419C2×C8—111no—
1420C2×C8—112no—
1421C2×C8—111no—
1422C2×C8—224no—
1423C2×C8—224no—
1424C2×C8—222no—
1425C2×C8C23×D1112yes—
1426C2×C8C23×D1111yescharacteristic
1427C2×C8C23×D1111yescharacteristic
1428C4⋊C4—21no—
1429C4⋊C4—22no—
1430C4⋊C4—111no—
1431C4⋊C4—111no—
1432C4⋊C4—222no—
1433C4⋊C4—221no—
1434C4⋊C4—221no—
1435C4⋊C4C23×D1112yes—
1436C22⋊C4—22no—
1437C22⋊C4—22no—
1438C22⋊C4—222no—
1439C22⋊C4—222no—
1440C22⋊C4—222no—
1441C22⋊C4—221no—
1442C22⋊C4—221no—
1443C22⋊C4—221no—
1444C22⋊C4—221no—
1445C22⋊C4—221no—
1446C22⋊C4—222no—
1447C22⋊C4—222no—
1448C42—222no—
1449C42—221no—
1450C11#6037211yescharacteristic, complemented, Sylow
1451C23—28no—
1452C23—22no—
1453C23—21no—
1454C23—24no—
1455C23—21no—
1456C23—81no—
1457C23—81no—
1458C23—82no—
1459C23—82no—
1460C23—111no—
1461C23—112no—
1462C23—111no—
1463C23—224no—
1464C23—222no—
1465C23—224no—
1466C23—228no—
1467C23—228no—
1468C23—228no—
1469C23—224no—
1470C23—228no—
1471C23—228no—
1472C23—222no—
1473C23—222no—
1474C23—221no—
1475C23—224no—
1476C23—222no—
1477C23—441no—
1478C23—442no—
1479C23—444no—
1480C23—442no—
1481C23—444no—
1482C23—444no—
1483C23—442no—
1484C23—442no—
1485C23—881no—
1486C23—881no—
1487C23—882no—
1488C23—882no—
1489C23—881no—
1490C23—881no—
1491C23—882no—
1492C23—882no—
1493C23—882no—
1494C23—882no—
1495C23—882no—
1496C23—882no—
1497C23—882no—
1498C23—882no—
1499C23—8816no—
1500C23—8832no—
1501C23C2×D4×D1112yes—
1502C23C2×D4×D1111yescharacteristic
1503Q8—22no—
1504Q8—21no—
1505Q8—21no—
1506Q8—21no—
1507Q8—114no—
1508Q8—112no—
1509Q8—224no—
1510Q8—224no—
1511Q8—221no—
1512Q8C2×D4×D1112yes—
1513D4—28no—
1514D4—28no—
1515D4—24no—
1516D4—24no—
1517D4—22no—
1518D4—24no—
1519D4—22no—
1520D4—21no—
1521D4—21no—
1522D4—21no—
1523D4—42no—
1524D4—82no—
1525D4—118no—
1526D4—114no—
1527D4—114no—
1528D4—112no—
1529D4—224no—
1530D4—228no—
1531D4—224no—
1532D4—228no—
1533D4—224no—
1534D4—228no—
1535D4—228no—
1536D4—224no—
1537D4—228no—
1538D4—228no—
1539D4—224no—
1540D4—228no—
1541D4—228no—
1542D4—224no—
1543D4—224no—
1544D4—224no—
1545D4—221no—
1546D4—222no—
1547D4—222no—
1548D4—222no—
1549D4—444no—
1550D4—444no—
1551D4—444no—
1552D4—442no—
1553D4—442no—
1554D4—882no—
1555D4—882no—
1556D4—882no—
1557D4—881no—
1558D4C2×D4×D1112yes—
1559D4C2×D4×D1114yes—
1560C2×C4—28no—
1561C2×C4—21no—
1562C2×C4—24no—
1563C2×C4—22no—
1564C2×C4—22no—
1565C2×C4—22no—
1566C2×C4—21no—
1567C2×C4—42no—
1568C2×C4—81no—
1569C2×C4—112no—
1570C2×C4—114no—
1571C2×C4—114no—
1572C2×C4—111no—
1573C2×C4—111no—
1574C2×C4—224no—
1575C2×C4—228no—
1576C2×C4—224no—
1577C2×C4—224no—
1578C2×C4—224no—
1579C2×C4—228no—
1580C2×C4—224no—
1581C2×C4—228no—
1582C2×C4—224no—
1583C2×C4—222no—
1584C2×C4—221no—
1585C2×C4—222no—
1586C2×C4—222no—
1587C2×C4—224no—
1588C2×C4—221no—
1589C2×C4—221no—
1590C2×C4—221no—
1591C2×C4—221no—
1592C2×C4—221no—
1593C2×C4—221no—
1594C2×C4—444no—
1595C2×C4—882no—
1596C2×C4C2×D4×D1112yes—
1597C2×C4C2×D4×D1111yescharacteristic
1598C2×C4C2×D4×D1112yes—
1599C2×C4C2×D4×D1112yes—
1600C2×C4C24×D1111yescharacteristic
1601C8—21no—
1602C8—21no—
1603C8—22no—
1604C8—221no—
1605C8—222no—
1606C8—221no—
1607C22—21no—
1608C22—21no—
1609C22—22no—
1610C22—22no—
1611C22—22no—
1612C22—24no—
1613C22—22no—
1614C22—42no—
1615C22—41no—
1616C22—42no—
1617C22—41no—
1618C22—41no—
1619C22—41no—
1620C22—41no—
1621C22—84no—
1622C22—88no—
1623C22—112no—
1624C22—114no—
1625C22—221no—
1626C22—222no—
1627C22—222no—
1628C22—221no—
1629C22—221no—
1630C22—221no—
1631C22—224no—
1632C22—222no—
1633C22—221no—
1634C22—444no—
1635C22—448no—
1636C22—4416no—
1637C22—448no—
1638C22—442no—
1639C22—441no—
1640C22—442no—
1641C22—441no—
1642C22—442no—
1643C22—442no—
1644C22—442no—
1645C22—884no—
1646C22—888no—
1647C22—888no—
1648C22—888no—
1649C22—888no—
1650C22—1762no—
1651C22—1764no—
1652C22D11×#12012yes—
1653C22C22×D4×D1111yescharacteristic
1654C4—22no—
1655C4—22no—
1656C4—42no—
1657C4—41no—
1658C4—114no—
1659C4—221no—
1660C4—221no—
1661C4—222no—
1662C4—441no—
1663C4—441no—
1664C4D11×#12012yes—
1665C4C22×D4×D1111yescharacteristic
1666C4C22×D4×D1111yescharacteristic
1667C2—22no—
1668C2—42no—
1669C2—44no—
1670C2—42no—
1671C2—81no—
1672C2—222no—
1673C2—224no—
1674C2—441no—
1675C2—444no—
1676C2—442no—
1677C2—882no—
1678C2C2×D11×#12011yescharacteristic
1679C2D11×#57611yescharacteristic
1680C2#1308339411yescharacteristic
subgroupG/H
centerC22C22×D4×D11
commutator, cosocleC2×C4×C11C25
FrattiniC2×C4C24×D11
FittingC11×#3012C2
socleC22×C11C23×D4
hypercenter#3012D11
hypocenterC11#60372
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×#10623305C2semidirect
3. C2×#10623300C2semidirect
4. #13082280C2semidirect
5. #13077924C2semidirect
6. #13077921C2semidirect
7. #13077917C2semidirect
8. #13077886C2semidirect
9. #13077884C2semidirect
10. #13077881C2semidirect
11. #13077879C2semidirect
12. #13077869C2semidirect
13. #13077865C2semidirect
14. #13077844C2semidirect
15. #13077841C2semidirect
16. #13077837C2semidirect
17. #13077830C2semidirect
18. C2×#10622386C2semidirect
19. D11×#447C2semidirect
20. #13077140C2semidirect
21. #13077137C2semidirect
22. #13077064C2semidirect
23. C11×#3012C2semidirect
24. C2×C11×H(5,𝔽2)C22semidirect
29. C2×#67042C22semidirect
30. C2×#67042C22semidirect
31. C2×#67042C22semidirect
34. C2×#41×D11C22semidirect
35. C2×#41×D11C22semidirect
39. C2×#67037C22semidirect
42. C22×D4×D11C22semidirect
43. C22×D4×D11C22semidirect
44. C2×C11×AGL(1,ℤ/8)C22semidirect
45. C2×C11×#135C22semidirect
46. C11×#537C22semidirect
47. #10623361C22semidirect
48. #10623359C22semidirect
49. C2×#67003C22semidirect
50. C2×#67002C22semidirect
51. C2×#67002C22semidirect
52. C22×#4323C22semidirect
55. C2×#66972C22semidirect
56. C2×#66969C22semidirect
57. C2×#66967C22semidirect
58. C2×#66967C22semidirect
59. C2×#66967C22semidirect
60. C2×#66964C22semidirect
61. C2×D8×D11C22semidirect
62. C2×D8×D11C22semidirect
63. C2×#66961C22semidirect
64. C2×#66960C22semidirect
65. C22×D88C22semidirect
66. C2×#66954C22semidirect
69. #10623160C22semidirect
70. #10623158C22semidirect
74. #10623138C22semidirect
75. D11×#121C22semidirect
77. C2×#66948C22semidirect
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. #10622851C22semidirect
87. #10622851C22semidirect
88. #10622847C22semidirect
89. #10622846C22semidirect
90. #10622830C22semidirect
91. #10622830C22semidirect
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. #10622424C22semidirect
116. #10622419C22semidirect
117. #10622417C22semidirect
118. #10622416C22semidirect
119. #10622394C22semidirect
120. #10622386C22semidirect
121. #10622386C22semidirect
122. #10622386C22semidirect
123. #10622386C22semidirect
124. #10622386C22semidirect
125. #10622385C22semidirect
126. #10622384C22semidirect
127. #10622383C22semidirect
128. #10622383C22semidirect
129. D11×#102C22semidirect
130. D11×#102C22semidirect
131. #10622347C22semidirect
132. #10622347C22semidirect
133. #10622345C22semidirect
134. #10622345C22semidirect
135. #10622340C22semidirect
136. #10622340C22semidirect
137. #10622339C22semidirect
138. D11×C22⋊C8C22semidirect
147. C2×C11×#41C23semidirect
165. #67042D4semidirect
177. C2×#4343C23semidirect
185. #67037D4semidirect
222. C2×D4×D11C23semidirect
238. C22×D44C23semidirect
245. C2×C11×Q16C23semidirect
246. C2×C11×SD16C23semidirect
247. C2×C11×SD16C23semidirect
248. C2×C11×SD16C23semidirect
249. C2×C11×D8C23semidirect
250. C2×C11×D8C23semidirect
251. C2×C11×M16C23semidirect
252. C22×C8×C11C23semidirect
254. C11×C22⋊Q8C23semidirect
257. C11×#121C23semidirect
258. C2×C11×C4⋊C4C23semidirect
264. #66999C23semidirect
265. C2×#4326C23semidirect
266. C2×#4325C23semidirect
267. C2×#4325C23semidirect
268. C2×#4325C23semidirect
273. #66991C23semidirect
278. C2×#4324C23semidirect
280. C2×#4323C23semidirect
281. C2×#4323C23semidirect
282. C2×#4323C23semidirect
283. C2×#4323C23semidirect
284. C2×#4323C23semidirect
285. #66983C23semidirect
286. #66983C23semidirect
291. #66979C23semidirect
292. C2×#4318C23semidirect
293. C22×C11⋊C8C23semidirect
305. C2×D88C23semidirect
306. C2×D88C23semidirect
307. C2×D88C23semidirect
308. C2×#4314C23semidirect
310. C2×#4313C23semidirect
311. C2×#4313C23semidirect
312. C2×C8×D11C23semidirect
313. C2×C8×D11C23semidirect
319. #66948C23semidirect
323. #66945C23semidirect
324. 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
392. C11×#41C2×D4semidirect
409. C2×D4×C11C2×D4semidirect
452. #4343C2×D4semidirect
465. #4341C2×D4semidirect
493. D4×D11C2×D4semidirect
494. D4×D11C2×D4semidirect
507. #4339C2×D4semidirect
527. C2×D44C2×D4semidirect
618. #3012D11semidirect
801. C2×H(5,𝔽2)C2×D11semidirect
819. C2×AGL(1,ℤ/8)C2×D11semidirect
823. C2×#135C2×D11semidirect
837. #537C2×D11semidirect
848. #452C2×D11semidirect
854. #450C2×D11semidirect
864. #449C2×D11semidirect
880. #447C2×D11semidirect
888. #417C2×D11semidirect
896. C2×#102C2×D11semidirect
900. #408C2×D11semidirect
951. C2×D11#576semidirect
1017. C2×#41C22×D11semidirect
1082. C2×Q16C22×D11semidirect
1088. C2×SD16C22×D11semidirect
1089. C2×SD16C22×D11semidirect
1090. C2×SD16C22×D11semidirect
1103. C2×D8C22×D11semidirect
1104. C2×D8C22×D11semidirect
1110. C2×M16C22×D11semidirect
1114. C22×C8C22×D11semidirect
1125. C22⋊Q8C22×D11semidirect
1141. #121C22×D11semidirect
1157. C2×C4⋊C4C22×D11semidirect
1165. #103C22×D11semidirect
1177. #102C22×D11semidirect
1178. #102C22×D11semidirect
1179. #102C22×D11semidirect
1188. C22⋊C8C22×D11semidirect
1189. C22⋊C8C22×D11semidirect
1262. #41D4×D11semidirect
1360. C2×D4D4×D11semidirect
1450. C11#60372semidirect

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×#106233052
C2×#106233002
#130822802
#130779242
#130779212
#130779172
#130778862
#130778842
#130778812
#130778792
#130778692
#130778652
#130778442
#130778412
#130778372
#130778302
C2×#106223862
D11×#4472
#130771402
#130771372
#130770642
C11×#30122
#6037211