Finite Group Databasebeta

← #15620301

Subgroups — #15620301

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×#10623288C211yesmaximal, characteristic, complemented
4#13082283C211yesmaximal, characteristic, complemented
5#13077923C211yesmaximal, characteristic, complemented
6#13077920C211yesmaximal, characteristic, complemented
7#13077918C212yesmaximal, complemented
8#13077915C212yesmaximal, complemented
9#13077882C211yesmaximal, characteristic, complemented
10#13077881C212yesmaximal, complemented
11#13077879C212yesmaximal, complemented
12#13077865C212yesmaximal, complemented
13#13077864C211yesmaximal, characteristic, complemented
14#13077845C211yesmaximal, characteristic, complemented
15#13077840C212yesmaximal, complemented
16#13077836C211yesmaximal, characteristic, complemented
17#13077831C212yesmaximal, complemented
18C2×#10622769C211yesmaximal, characteristic, complemented
19D11×#447C212yesmaximal, complemented
20#13077141C211yesmaximal, characteristic, complemented
21#13077138C211yesmaximal, characteristic, complemented
22#13077064C211yesmaximal, characteristic, complemented
23C11×#3008C211yesmaximal, 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×#41×D11—21no—
32C2×#41×D11C2211yescharacteristic
33C2×#41×D11C2212yescomplemented
34C2×#41×D11C2211yescharacteristic, complemented
35C2×#67037—21no—
36C2×#67037—22no—
37C2×#67037C2211yescharacteristic
38C2×#67037C2212yescomplemented
39C2×#67037C2211yescharacteristic, complemented
40C22×D4×D11—21no—
41C22×D4×D11—22no—
42C22×D4×D11C2212yescomplemented
43C22×D4×D11C2211yescharacteristic, complemented
44C2×C11×AGL(1,ℤ/8)C2211yescharacteristic, complemented
45C22×C11×D8C2211yescharacteristic, complemented
46C11×#535C2211yescharacteristic, complemented
47#10623364C2211yescharacteristic, complemented
48C2×#67003C2211yescharacteristic, complemented
49C2×#66991C2211yescharacteristic, complemented
50C2×#66985C2211yescharacteristic, complemented
51C2×#66985C2211yescharacteristic, complemented
52C22×#4323C2211yescharacteristic, complemented
53#10623305—28no—
54C2×#66969C2212yescomplemented
55C2×#66967C2212yescomplemented
56#10623288—28no—
57C2×#66965C2212yescomplemented
58C2×#66964C2212yescomplemented
59C2×#66964C2212yescomplemented
60C2×#66964C2212yescomplemented
61C2×D8×D11C2212yescomplemented
62C2×D8×D11C2212yescomplemented
63C2×#66961C2211yescharacteristic, complemented
64C2×#66960C2211yescharacteristic, complemented
65C2×#66957C2211yescharacteristic, complemented
66C2×#66954C2211yescharacteristic, complemented
67#10623249—21no—
68#10623248—21no—
69#10623208—21no—
70#10623207—21no—
71#10623139C2212yescomplemented
72#10623138C2212yescomplemented
73#10623137C2212yescomplemented
74D11×#121C2212yescomplemented
75#10623122—22no—
76#10623121—22no—
77#10623055C2211yescharacteristic, complemented
78#10623054C2211yescharacteristic, complemented
79C11×#449C2212yescomplemented
80C11×#449C2212yescomplemented
81C11×#447C2212yescomplemented
82C11×#447C2212yescomplemented
83C11×#418C2211yescharacteristic, complemented
84C11×#416C2211yescharacteristic, complemented
85C11×#408C2211yescharacteristic, complemented
86#10622852C2212yescomplemented
87#10622851C2212yescomplemented
88#10622847C2211yescharacteristic, complemented
89#10622845C2211yescharacteristic, complemented
90#10622831C2212yescomplemented
91#10622830C2212yescomplemented
92C2×#66896C2211yescharacteristic, complemented
93#10622785C2212yescomplemented
94#10622783C2212yescomplemented
95#10622771C2212yescomplemented
96#10622769C2212yescomplemented
97#10622769C2212yescomplemented
98#10622769C2212yescomplemented
99#10622769C2212yescomplemented
100#10622769C2212yescomplemented
101#10622746C2211yescharacteristic, complemented
102#10622739C2211yescharacteristic, complemented
103C2×#66885C2211yescharacteristic, complemented
104C2×(C2×D11)⋊C8C2211yescharacteristic, complemented
105#10622650C2212yescomplemented
106#10622650C2212yescomplemented
107#10622649C2212yescomplemented
108#10622649C2212yescomplemented
109#10622615C2211yescharacteristic, complemented
110#10622614C2211yescharacteristic, complemented
111#10622424C2211yescharacteristic, complemented
112#10622423C2211yescharacteristic, complemented
113#10622421C2211yescharacteristic, complemented
114#10622419C2211yescharacteristic, complemented
115#10622417C2212yescomplemented
116#10622416C2212yescomplemented
117#10622396C2211yescharacteristic, complemented
118#10622394C2211yescharacteristic, complemented
119#10622389C2212yescomplemented
120#10622389C2211yescharacteristic, complemented
121#10622389C2212yescomplemented
122#10622386C2211yescharacteristic, complemented
123#10622386C2212yescomplemented
124#10622386C2212yescomplemented
125#10622385C2212yescomplemented
126#10622384C2212yescomplemented
127#10622383C2212yescomplemented
128#10622383C2212yescomplemented
129D11×#102C2212yescomplemented
130D11×#102C2212yescomplemented
131#10622347C2212yescomplemented
132#10622346C2212yescomplemented
133#10622345C2212yescomplemented
134#10622344C2212yescomplemented
135#10622340C2212yescomplemented
136#10622340C2212yescomplemented
137#10622339C2212yescomplemented
138D11×C22⋊C8C2212yescomplemented
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
147C22×D4×C11—21no—
148C22×D4×C11—22no—
149C22×D4×C11C2312yes—
150C22×D4×C11C2311yescharacteristic
151C22×D4×C11C2311yescharacteristic, complemented
152C22×C22⋊D11—22no—
153C22×C22⋊D11—22no—
154C22×C22⋊D11—22no—
155C22×C22⋊D11—21no—
156C22×C22⋊D11—22no—
157C22×C22⋊D11—21no—
158C22×C22⋊D11—22no—
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
179#67037—232no—
180#67037—216no—
181#67037—28no—
182#67037—28no—
183#67037—24no—
184#67037—24no—
185#67037—24no—
186#67037D418yescomplemented
187C2×#4341—21no—
188C2×#4341—22no—
189C2×#4341—21no—
190C2×#4341—22no—
191C2×#4341—21no—
192C2×#4341D411yescharacteristic
193C2×#4341D412yes—
194C2×#4341C2311yescharacteristic
195C2×#4341C2312yes—
196C2×#4341C2312yescomplemented
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—24no—
204C2×D4×D11—22no—
205C2×D4×D11—22no—
206C2×D4×D11—22no—
207C2×D4×D11—28no—
208C2×D4×D11—28no—
209C2×D4×D11—22no—
210C2×D4×D11—21no—
211C2×D4×D11—22no—
212C2×D4×D11—21no—
213C2×D4×D11—24no—
214C2×D4×D11—21no—
215C2×D4×D11—22no—
216C2×D4×D11—21no—
217C2×D4×D11—22no—
218C2×D4×D11D411yescharacteristic
219C2×D4×D11D412yes—
220C2×D4×D11C2312yes—
221C2×D4×D11C2311yescharacteristic
222C2×D4×D11C2312yes—
223C2×D4×D11C2312yes—
224C2×D4×D11C2312yes—
225C2×D4×D11C2312yescomplemented
226C2×#4339—21no—
227C2×#4339—22no—
228C2×#4339—21no—
229C2×#4339—22no—
230C2×#4339C2312yes—
231C2×#4339C2311yescharacteristic
232C2×#4339C2312yes—
233C2×#4339C2311yescharacteristic
234C2×#4339C2311yescharacteristic, complemented
235C22×D44—21no—
236C22×D44—22no—
237C22×D44C2312yes—
238C22×D44C2311yescharacteristic
239C22×C4×D11—21no—
240C22×C4×D11—22no—
241C22×C4×D11C2311yescharacteristic
242C22×C4×D11C2312yes—
243C11×AGL(1,ℤ/8)—24no—
244C2×C11×SD16C2312yescomplemented
245C2×C11×D8—24no—
246C2×C11×D8C2312yescomplemented
247C2×C11×D8C2312yescomplemented
248C2×C11×D8C2312yescomplemented
249C2×C11×M16C2311yescharacteristic, complemented
250C22×C8×C11C2311yescharacteristic, complemented
251C11×#127—21no—
252C11×#124—21no—
253C11×#121C2312yescomplemented
254C11×#121C2312yescomplemented
255C11×#120—22no—
256C11×#117C2311yescharacteristic, complemented
257C2×C22⋊Dic11—21no—
258#67003—24no—
259#66999—21no—
260C2×#4326C2311yescharacteristic, complemented
261C2×#4325C2311yescharacteristic, complemented
262#66993—22no—
263#66992—22no—
264#66992—22no—
265#66992—22no—
266#66991—21no—
267#66991—22no—
268#66991—21no—
269#66991—21no—
270#66991C2312yes—
271#66991C2312yescomplemented
272#66990—22no—
273#66990—22no—
274D4×Dic11—22no—
275C2×#4324C2312yescomplemented
276C2×#4324C2311yescharacteristic, complemented
277C2×#4324C2312yescomplemented
278#66985—24no—
279#66985—24no—
280C2×#4323—24no—
281C2×#4323C2312yescomplemented
282C2×#4323C2312yescomplemented
283C2×#4323C2312yescomplemented
284C2×#4323C2311yescharacteristic, complemented
285C2×#4323C2312yescomplemented
286#66983C2312yescomplemented
287C2×C4⋊Dic11C2311yescharacteristic, complemented
288#66977C2312yescomplemented
289C2×#4318C2311yescharacteristic, complemented
290C22×C11⋊C8C2311yescharacteristic, complemented
291#66969—28no—
292#66967—28no—
293#66965—28no—
294#66964—28no—
295#66964—28no—
296#66964—28no—
297D8×D11—28no—
298D8×D11—28no—
299#66961—24no—
300#66960—24no—
301C2×Dic44C2311yescharacteristic, complemented
302#66957—24no—
303C2×D88C2311yescharacteristic, complemented
304C2×D88C2312yescomplemented
305C2×#4314C2311yescharacteristic, complemented
306C2×#4314C2311yescharacteristic, complemented
307C2×#4314C2312yescomplemented
308#66954—24no—
309C2×#4313C2312yescomplemented
310C2×#4313C2312yescomplemented
311C2×C8×D11C2312yescomplemented
312C2×C8×D11C2312yescomplemented
313#66950C2311yescharacteristic
314#66950C2311yescharacteristic, complemented
315#66948C2311yescharacteristic
316#66948C2311yescharacteristic, complemented
317#66945C2312yescomplemented
318C4⋊C4×D11C2312yescomplemented
319#66939—21no—
320#66938—22no—
321#66937—22no—
322#66937—22no—
323#66936—22no—
324#66935—21no—
325#66935—22no—
326(C22⋊D11)⋊C4—22no—
327(C22⋊D11)⋊C4—22no—
328C22⋊C4×D11—22no—
329#66931—22no—
330C4×D44—21no—
331C4×D44—21no—
332C4×D44—21no—
333C4×Dic22—21no—
334C11×#103C2311yescharacteristic, complemented
335C11×#103C2311yescharacteristic, complemented
336C11×#102C2311yescharacteristic, complemented
337C11×#102C2312yescomplemented
338C11×#102C2311yescharacteristic, complemented
339C11×#102C2312yescomplemented
340C11×C22⋊C8C2312yescomplemented
341C11×C22⋊C8C2312yescomplemented
342#66899C2312yescomplemented
343#66896C2312yescomplemented
344#66896C2312yescomplemented
345#66896C2312yescomplemented
346C22⋊(C11⋊C8)C2312yescomplemented
347C22⋊(C11⋊C8)C2312yescomplemented
348#66885C2312yescomplemented
349#66885C2312yescomplemented
350#66885C2312yescomplemented
351(C2×D11)⋊C8C2311yescharacteristic
352(C2×D11)⋊C8C2311yescharacteristic
353(C2×D11)⋊C8C2312yes—
354(C2×D11)⋊C8C2311yescharacteristic, complemented
355(C2×D11)⋊C8C2311yescharacteristic, complemented
356(C2×D11)⋊C8C2312yescomplemented
357#66880C2312yescomplemented
358#66874C2311yescharacteristic, complemented
359#66874C2311yescharacteristic, complemented
360#66873C2312yescomplemented
361#66873C2312yescomplemented
362#66873C2311yescharacteristic, complemented
363#66873C2311yescharacteristic, complemented
364#60372—111nomaximal, Sylow
365C24×C11—22no—
366C24×C11—21no—
367C24×C11—21no—
368C23×D11—28no—
369C23×D11—216no—
370C23×D11—22no—
371C23×D11—21no—
372C23×D11—21no—
373C23×D11—22no—
374C23×D11—22no—
375C23×D11—22no—
376C23×D11—22no—
377C23×D11—22no—
378C23×D11—84no—
379C23×D11—82no—
380C23×D11—84no—
381C23×D11—82no—
382C23×D11C2×D411yescharacteristic
383C23×D11C2×D412yes—
384C11×#41—28no—
385C11×#41—24no—
386C11×#41—24no—
387C11×#41—22no—
388C11×#41—22no—
389C11×#41—22no—
390C11×#41C2×D414yescomplemented
391C2×Q8×C11C2×D411yescharacteristic
392C2×Q8×C11C2411yescharacteristic
393C2×D4×C11—216no—
394C2×D4×C11—28no—
395C2×D4×C11—22no—
396C2×D4×C11—21no—
397C2×D4×C11—24no—
398C2×D4×C11—24no—
399C2×D4×C11—22no—
400C2×D4×C11—22no—
401C2×D4×C11—22no—
402C2×D4×C11—21no—
403C2×D4×C11—22no—
404C2×D4×C11—22no—
405C2×D4×C11—22no—
406C2×D4×C11—21no—
407C2×D4×C11C2×D411yescharacteristic
408C2×D4×C11C2×D412yes—
409C2×D4×C11C2×D414yescomplemented
410C2×D4×C11C2412yes—
411C2×D4×C11C2412yes—
412C2×D4×C11C2411yescharacteristic
413C22×C4×C11—22no—
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—21no—
423C2×C22⋊D11—22no—
424C2×C22⋊D11—22no—
425C2×C22⋊D11—22no—
426C2×C22⋊D11—22no—
427C2×C22⋊D11—22no—
428C2×C22⋊D11—22no—
429C2×C22⋊D11—21no—
430C2×C22⋊D11—21no—
431C2×C22⋊D11—22no—
432C2×C22⋊D11—21no—
433C2×C22⋊D11—22no—
434C2×C22⋊D11—22no—
435C2×C22⋊D11—22no—
436C2×C22⋊D11—22no—
437C2×C22⋊D11—48no—
438C2×C22⋊D11—82no—
439C2×C22⋊D11C2×D412yes—
440C2×C22⋊D11C2×D412yes—
441C2×C22⋊D11C2×D412yes—
442C22×Dic11—21no—
443C22×Dic11—22no—
444C22×Dic11—22no—
445C22×Dic11—21no—
446C22×Dic11C2×D411yescharacteristic
447C22×Dic11C2×D412yes—
448#4343—28no—
449#4343—24no—
450#4343—22no—
451#4343—24no—
452#4343—22no—
453#4343C2×D418yescomplemented
454Q8×D11—24no—
455Q8×D11—22no—
456Q8×D11—22no—
457#4341—216no—
458#4341—216no—
459#4341—28no—
460#4341—28no—
461#4341—24no—
462#4341—24no—
463#4341—24no—
464#4341—28no—
465#4341—24no—
466#4341—22no—
467#4341—22no—
468#4341—44no—
469#4341C2×D418yescomplemented
470D4×D11—216no—
471D4×D11—216no—
472D4×D11—28no—
473D4×D11—28no—
474D4×D11—216no—
475D4×D11—216no—
476D4×D11—216no—
477D4×D11—216no—
478D4×D11—216no—
479D4×D11—28no—
480D4×D11—28no—
481D4×D11—28no—
482D4×D11—216no—
483D4×D11—24no—
484D4×D11—28no—
485D4×D11—22no—
486D4×D11—24no—
487D4×D11—24no—
488D4×D11—24no—
489D4×D11—24no—
490D4×D11—24no—
491D4×D11—24no—
492D4×D11—24no—
493D4×D11—22no—
494D4×D11—24no—
495D4×D11—44no—
496D4×D11—84no—
497D4×D11C2×D418yescomplemented
498D4×D11C2×D418yescomplemented
499#4339—216no—
500#4339—216no—
501#4339—28no—
502#4339—24no—
503#4339—24no—
504#4339—24no—
505#4339—28no—
506#4339—24no—
507#4339—22no—
508#4339—22no—
509#4339—22no—
510#4339C2×D414yes—
511#4339C2×D414yes—
512#4339C2×D414yescomplemented
513C2×D44—216no—
514C2×D44—28no—
515C2×D44—24no—
516C2×D44—24no—
517C2×D44—21no—
518C2×D44—22no—
519C2×D44—21no—
520C2×D44—21no—
521C2×D44—22no—
522C2×D44—21no—
523C2×D44—22no—
524C2×D44C2×D412yes—
525C2×D44C2×D411yescharacteristic
526C2×D44C2×D414yescomplemented
527C2×D44C2411yescharacteristic
528C2×D44C2411yescharacteristic
529C2×D44C2412yes—
530C2×C4×D11—216no—
531C2×C4×D11—28no—
532C2×C4×D11—21no—
533C2×C4×D11—22no—
534C2×C4×D11—24no—
535C2×C4×D11—24no—
536C2×C4×D11—21no—
537C2×C4×D11—22no—
538C2×C4×D11—22no—
539C2×C4×D11—21no—
540C2×C4×D11—22no—
541C2×C4×D11—22no—
542C2×C4×D11—21no—
543C2×C4×D11C2×D411yescharacteristic
544C2×C4×D11C2×D411yescharacteristic
545C2×C4×D11C2×D412yes—
546C2×C4×D11C2×D412yes—
547C2×C4×D11C2411yescharacteristic
548C2×C4×D11C2411yescharacteristic
549C2×C4×D11C2412yes—
550C2×Dic22—21no—
551C2×Dic22C2×D412yes—
552C2×Dic22C2×D411yescharacteristic
553C2×Dic22C2411yescharacteristic
554C2×Dic22C2411yescharacteristic
555C11×SD16—24no—
556C11×D8—24no—
557C11×D8—24no—
558C11×D8—24no—
559C11×M16—22no—
560C2×C8×C11—22no—
561C2×C8×C11C2412yes—
562C2×C8×C11C2411yescharacteristic
563C2×C8×C11C2411yescharacteristic
564C11×C4⋊C4C2411yescharacteristic
565C11×C4⋊C4C2411yescharacteristic
566C11×C22⋊C4—21no—
567C11×C22⋊C4—22no—
568C11×C22⋊C4—22no—
569C42×C11—21no—
570C22⋊Dic11—22no—
571C22⋊Dic11—22no—
572C22⋊Dic11—22no—
573#4326—22no—
574#4325—22no—
575#4324—24no—
576#4324—22no—
577#4324—24no—
578#4323—24no—
579#4323—24no—
580#4323—24no—
581#4323—22no—
582#4323—24no—
583(C2×D11)⋊C4—21no—
584(C2×D11)⋊C4—21no—
585(C2×D11)⋊C4—21no—
586(C2×D11)⋊C4—22no—
587(C2×D11)⋊C4—21no—
588(C2×D11)⋊C4—22no—
589C4⋊Dic11—21no—
590C4⋊Dic11—21no—
591C4⋊Dic11—21no—
592C4⋊Dic11C2412yes—
593Dic11⋊C4—22no—
594Dic11⋊C4—22no—
595C4×Dic11—22no—
596#4318—22no—
597C2×C11⋊C8—22no—
598C2×C11⋊C8C2412yes—
599C2×C11⋊C8C2411yescharacteristic
600C2×C11⋊C8C2411yescharacteristic
601Dic44—22no—
602D88—22no—
603D88—24no—
604#4314—22no—
605#4314—24no—
606#4314—22no—
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#3012—111no—
619#3008—112no—
620#3008—112no—
621#3008—111no—
622#3008D1111yescharacteristic, complemented
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—22no—
639C23×C11—42no—
640C23×C11—81no—
641C23×C11—81no—
642C23×C11—82no—
643C23×C11—82no—
644C23×C11—81no—
645C23×C11—81no—
646C23×C11C22×D412yes—
647C23×C11C22×D411yescharacteristic
648C22×D11—28no—
649C22×D11—24no—
650C22×D11—22no—
651C22×D11—22no—
652C22×D11—21no—
653C22×D11—28no—
654C22×D11—28no—
655C22×D11—24no—
656C22×D11—24no—
657C22×D11—24no—
658C22×D11—22no—
659C22×D11—28no—
660C22×D11—28no—
661C22×D11—21no—
662C22×D11—42no—
663C22×D11—41no—
664C22×D11—42no—
665C22×D11—44no—
666C22×D11—42no—
667C22×D11—44no—
668C22×D11—44no—
669C22×D11—82no—
670C22×D11—82no—
671C22×D11—82no—
672C22×D11—82no—
673C22×D11—82no—
674C22×D11—82no—
675C22×D11—82no—
676C22×D11—82no—
677C22×D11—832no—
678C22×D11—816no—
679C22×D11—81no—
680C22×D11—82no—
681C22×D11—81no—
682C22×D11—82no—
683C22×D11C22×D411yescharacteristic
684C22×D11C22×D412yes—
685C22×D11C22×D411yescharacteristic
686Q8×C11—22no—
687Q8×C11—21no—
688Q8×C11C22×D412yes—
689D4×C11—28no—
690D4×C11—28no—
691D4×C11—24no—
692D4×C11—24no—
693D4×C11—22no—
694D4×C11—24no—
695D4×C11—22no—
696D4×C11—21no—
697D4×C11—22no—
698D4×C11—22no—
699D4×C11—42no—
700D4×C11—82no—
701D4×C11—82no—
702D4×C11C22×D414yes—
703D4×C11C22×D412yes—
704C2×C4×C11—28no—
705C2×C4×C11—21no—
706C2×C4×C11—24no—
707C2×C4×C11—22no—
708C2×C4×C11—22no—
709C2×C4×C11—21no—
710C2×C4×C11—21no—
711C2×C4×C11C22×D412yes—
712C2×C4×C11C22×D411yescharacteristic
713C2×C4×C11C22×D412yes—
714C2×C4×C11C22×D412yes—
715C2×C4×C11C2511yescharacteristic
716C22⋊D11—28no—
717C22⋊D11—28no—
718C22⋊D11—24no—
719C22⋊D11—28no—
720C22⋊D11—24no—
721C22⋊D11—24no—
722C22⋊D11—24no—
723C22⋊D11—28no—
724C22⋊D11—24no—
725C22⋊D11—28no—
726C22⋊D11—28no—
727C22⋊D11—42no—
728C22⋊D11—44no—
729C22⋊D11—44no—
730C22⋊D11—44no—
731C22⋊D11—82no—
732C22⋊D11—82no—
733C22⋊D11#12018yes—
734C2×Dic11—24no—
735C2×Dic11—22no—
736C2×Dic11—21no—
737C2×Dic11—24no—
738C2×Dic11—28no—
739C2×Dic11—22no—
740C2×Dic11—21no—
741C2×Dic11—44no—
742C2×Dic11—81no—
743C2×Dic11C22×D411yescharacteristic
744C2×Dic11C22×D411yescharacteristic
745C2×Dic11C22×D412yes—
746D44—24no—
747D44—28no—
748D44—28no—
749D44—24no—
750D44—24no—
751D44—21no—
752D44—22no—
753D44—21no—
754D44—21no—
755D44—42no—
756D44—81no—
757D44#12014yes—
758D44C22×D412yes—
759D44C22×D414yes—
760C4×D11—24no—
761C4×D11—24no—
762C4×D11—28no—
763C4×D11—24no—
764C4×D11—22no—
765C4×D11—24no—
766C4×D11—22no—
767C4×D11—21no—
768C4×D11—21no—
769C4×D11—21no—
770C4×D11—21no—
771C4×D11—24no—
772C4×D11—28no—
773C4×D11—42no—
774C4×D11—82no—
775C4×D11C22×D414yes—
776C4×D11C22×D414yes—
777Dic22—24no—
778Dic22—21no—
779Dic22—24no—
780Dic22—21no—
781Dic22—21no—
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)—112no—
795C2×H(5,𝔽2)—111no—
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×#135—111no—
824C22×D8—111no—
825C22×D8—112no—
826C22×D8—112no—
827C22×D8C2×D1111yescharacteristic, complemented
828C2×#131—111no—
829C2×#131—111no—
830#550—221no—
831#548—221no—
832#546—222no—
833#546—221no—
834D42—222no—
835D42—221no—
836#537—111no—
837#537—112no—
838#535—112no—
839#535C2×D1111yescharacteristic, complemented
840#525—112no—
841#525—111no—
842C2×#121—111no—
843C2×#121—112no—
844#520—111no—
845#452—112no—
846#452—111no—
847#452—111no—
848#452—112no—
849#451—111no—
850#450—112no—
851#450—112no—
852#450—111no—
853#450—112no—
854#450—112no—
855#449—112no—
856#449—112no—
857#449—112no—
858#449—112no—
859#449—112no—
860#449—111no—
861#449—111no—
862#449—112no—
863#449C2×D1112yescomplemented
864#449C2×D1112yescomplemented
865#448—112no—
866#448—111no—
867#447—112no—
868#447—112no—
869#447—112no—
870#447—112no—
871#447—112no—
872#447—112no—
873#447—112no—
874#447—112no—
875#447—111no—
876#447—112no—
877#447—112no—
878#447—112no—
879#447C2×D1112yescomplemented
880#447C2×D1112yescomplemented
881#418—111no—
882#418—112no—
883#418—112no—
884#418C2×D1111yescharacteristic, complemented
885#417—111no—
886#417—111no—
887#417—112no—
888#417—112no—
889#416—111no—
890#416—112no—
891#416—112no—
892#416C2×D1111yescharacteristic, complemented
893C2×#102—111no—
894C2×#102—111no—
895C2×#102—112no—
896C2×#102—112no—
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—42no—
917C22×C11—42no—
918C22×C11—42no—
919C22×C11—84no—
920C22×C11—88no—
921C22×C11—162no—
922C22×C11C2×#12012yes—
923C22×C11C23×D411yescharacteristic
924C2×D11—21no—
925C2×D11—22no—
926C2×D11—21no—
927C2×D11—22no—
928C2×D11—21no—
929C2×D11—24no—
930C2×D11—22no—
931C2×D11—21no—
932C2×D11—21no—
933C2×D11—48no—
934C2×D11—44no—
935C2×D11—48no—
936C2×D11—416no—
937C2×D11—41no—
938C2×D11—42no—
939C2×D11—41no—
940C2×D11—42no—
941C2×D11—41no—
942C2×D11—41no—
943C2×D11—41no—
944C2×D11—88no—
945C2×D11—88no—
946C2×D11—84no—
947C2×D11—88no—
948C2×D11—88no—
949C2×D11—164no—
950C2×D11C2×#12014yes—
951C2×D11#57612yescomplemented
952C4×C11—22no—
953C4×C11—22no—
954C4×C11—41no—
955C4×C11—41no—
956C4×C11C2×#12012yes—
957C4×C11C23×D411yescharacteristic
958C4×C11C23×D411yescharacteristic
959Dic11—21no—
960Dic11—21no—
961Dic11—22no—
962Dic11—41no—
963Dic11—42no—
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)—224no—
977H(5,𝔽2)—224no—
978H(5,𝔽2)—228no—
979H(5,𝔽2)—224no—
980H(5,𝔽2)—224no—
981H(5,𝔽2)—228no—
982H(5,𝔽2)—224no—
983H(5,𝔽2)—2216no—
984C2×#41—21no—
985C2×#41—111no—
986C2×#41—112no—
987C2×#41—111no—
988C2×#41—111no—
989C2×#41—112no—
990C2×#41—112no—
991C2×#41—111no—
992C2×#41—112no—
993C2×#41—112no—
994C2×#41—111no—
995C2×#41—111no—
996C2×#41—111no—
997C2×#41—112no—
998C2×#41—222no—
999C2×#41—221no—
1000C2×#41—221no—
1001C2×#41—222no—
1002C2×#41—221no—
1003C2×#41—222no—
1004C2×#41—221no—
1005C2×#41—222no—
1006C2×#41—221no—
1007C2×#41—224no—
1008C2×#41—224no—
1009C2×#41—228no—
1010C2×#41—228no—
1011C2×#41—224no—
1012C2×#41—2216no—
1013C2×#41—224no—
1014C2×#41—221no—
1015C2×#41C22×D1112yes—
1016C2×#41C22×D1111yescharacteristic
1017C2×#41C22×D1111yescharacteristic
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—112no—
1028C22×D4—111no—
1029C22×D4—112no—
1030C22×D4—111no—
1031C22×D4—112no—
1032C22×D4—221no—
1033C22×D4—222no—
1034C22×D4—222no—
1035C22×D4—221no—
1036C22×D4—222no—
1037C22×D4—221no—
1038C22×D4—221no—
1039C22×D4—222no—
1040C22×D4—228no—
1041C22×D4—228no—
1042C22×D4—224no—
1043C22×D4—222no—
1044C22×D4—222no—
1045C22×D4—222no—
1046C22×D4—221no—
1047C22×D4—222no—
1048C22×D4—221no—
1049C22×D4—222no—
1050C22×D4—221no—
1051C22×D4—2216no—
1052C22×D4—2232no—
1053C22×D4—222no—
1054C22×D4—222no—
1055C22×D4—222no—
1056C22×D4—222no—
1057C22×D4—222no—
1058C22×D4—222no—
1059C22×D4—221no—
1060C22×D4—224no—
1061C22×D4—221no—
1062C22×D4C22×D1112yes—
1063C22×D4C22×D1111yescharacteristic
1064C22×D4C22×D1111yescharacteristic, complemented
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—224no—
1078#135—228no—
1079#135—228no—
1080#135—224no—
1081C2×Q16—111no—
1082C2×Q16—111no—
1083C2×SD16—111no—
1084C2×SD16—112no—
1085C2×SD16—111no—
1086C2×SD16—112no—
1087C2×SD16—111no—
1088C2×SD16—111no—
1089C2×SD16—112no—
1090C2×SD16C22×D1112yescomplemented
1091C2×D8—24no—
1092C2×D8—112no—
1093C2×D8—111no—
1094C2×D8—112no—
1095C2×D8—112no—
1096C2×D8—112no—
1097C2×D8—111no—
1098C2×D8—112no—
1099C2×D8—228no—
1100C2×D8—228no—
1101C2×D8—224no—
1102C2×D8C22×D1112yescomplemented
1103C2×D8C22×D1112yescomplemented
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—21no—
1116#127—222no—
1117#124—21no—
1118#124—222no—
1119#123—222no—
1120#123—221no—
1121C22⋊Q8—112no—
1122C22⋊Q8—111no—
1123C22⋊Q8—111no—
1124C22⋊Q8—222no—
1125C22⋊Q8—221no—
1126#121—112no—
1127#121—112no—
1128#121—112no—
1129#121—111no—
1130#121—111no—
1131#121—222no—
1132#121—222no—
1133#121—221no—
1134#121—221no—
1135#121—222no—
1136#121—222no—
1137#121—222no—
1138#121—222no—
1139#121—221no—
1140#121C22×D1112yescomplemented
1141#121C22×D1112yescomplemented
1142#120—22no—
1143#120—222no—
1144#120—221no—
1145#120—222no—
1146#120—222no—
1147C4×Q8—221no—
1148C4×D4—221no—
1149C4×D4—221no—
1150C4×D4—221no—
1151C4×D4—222no—
1152C4×D4—222no—
1153C4×D4—222no—
1154#117—112no—
1155#117C22×D1111yescharacteristic, complemented
1156C2×C4⋊C4—111no—
1157C2×C4⋊C4—112no—
1158C2×C22⋊C4—222no—
1159C2×C22⋊C4—221no—
1160#103—112no—
1161#103—112no—
1162#103—111no—
1163#103—111no—
1164#103C22×D1111yescharacteristic, complemented
1165#103C22×D1111yescharacteristic, complemented
1166#102—112no—
1167#102—112no—
1168#102—112no—
1169#102—112no—
1170#102—112no—
1171#102—112no—
1172#102—111no—
1173#102—112no—
1174#102—112no—
1175#102—111no—
1176#102C22×D1111yescharacteristic, complemented
1177#102C22×D1112yescomplemented
1178#102C22×D1112yescomplemented
1179#102C22×D1111yescharacteristic, complemented
1180C22⋊C8—112no—
1181C22⋊C8—112no—
1182C22⋊C8—111no—
1183C22⋊C8—111no—
1184C22⋊C8—112no—
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—82no—
1195C2×C11C22×#12011yescharacteristic
1196C2×C11C2×#57611yescharacteristic
1197C2×C11#358511yescharacteristic
1198D11—22no—
1199D11—24no—
1200D11—41no—
1201D11—42no—
1202D11—44no—
1203D11—81no—
1204C24—22no—
1205C24—21no—
1206C24—21no—
1207C24—112no—
1208C24—111no—
1209C24—222no—
1210C24—221no—
1211C24—222no—
1212C24—222no—
1213C24—222no—
1214C24—222no—
1215C24—2216no—
1216C24—228no—
1217C24—222no—
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—114no—
1230#41—114no—
1231#41—118no—
1232#41—118no—
1233#41—114no—
1234#41—224no—
1235#41—224no—
1236#41—224no—
1237#41—224no—
1238#41—228no—
1239#41—2216no—
1240#41—2216no—
1241#41—228no—
1242#41—224no—
1243#41—224no—
1244#41—224no—
1245#41—224no—
1246#41—228no—
1247#41—224no—
1248#41—222no—
1249#41—228no—
1250#41—2216no—
1251#41—2216no—
1252#41—228no—
1253#41—224no—
1254#41—222no—
1255#41—228no—
1256#41—222no—
1257#41—222no—
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—111no—
1267C2×Q8—221no—
1268C2×Q8—224no—
1269C2×Q8—222no—
1270C2×Q8—222no—
1271C2×Q8D4×D1111yescharacteristic
1272C2×Q8C23×D1111yescharacteristic
1273C2×D4—216no—
1274C2×D4—28no—
1275C2×D4—22no—
1276C2×D4—21no—
1277C2×D4—24no—
1278C2×D4—24no—
1279C2×D4—22no—
1280C2×D4—22no—
1281C2×D4—22no—
1282C2×D4—21no—
1283C2×D4—22no—
1284C2×D4—22no—
1285C2×D4—22no—
1286C2×D4—21no—
1287C2×D4—112no—
1288C2×D4—118no—
1289C2×D4—118no—
1290C2×D4—112no—
1291C2×D4—112no—
1292C2×D4—111no—
1293C2×D4—114no—
1294C2×D4—112no—
1295C2×D4—112no—
1296C2×D4—111no—
1297C2×D4—111no—
1298C2×D4—224no—
1299C2×D4—224no—
1300C2×D4—228no—
1301C2×D4—222no—
1302C2×D4—221no—
1303C2×D4—2216no—
1304C2×D4—221no—
1305C2×D4—221no—
1306C2×D4—224no—
1307C2×D4—224no—
1308C2×D4—224no—
1309C2×D4—224no—
1310C2×D4—222no—
1311C2×D4—222no—
1312C2×D4—222no—
1313C2×D4—221no—
1314C2×D4—222no—
1315C2×D4—222no—
1316C2×D4—228no—
1317C2×D4—224no—
1318C2×D4—224no—
1319C2×D4—222no—
1320C2×D4—224no—
1321C2×D4—2216no—
1322C2×D4—228no—
1323C2×D4—2216no—
1324C2×D4—2216no—
1325C2×D4—228no—
1326C2×D4—228no—
1327C2×D4—2216no—
1328C2×D4—2216no—
1329C2×D4—2216no—
1330C2×D4—2216no—
1331C2×D4—2216no—
1332C2×D4—228no—
1333C2×D4—228no—
1334C2×D4—2216no—
1335C2×D4—222no—
1336C2×D4—221no—
1337C2×D4—2216no—
1338C2×D4—2216no—
1339C2×D4—2216no—
1340C2×D4—228no—
1341C2×D4—222no—
1342C2×D4—221no—
1343C2×D4—222no—
1344C2×D4—224no—
1345C2×D4—224no—
1346C2×D4—222no—
1347C2×D4—222no—
1348C2×D4—221no—
1349C2×D4—222no—
1350C2×D4—222no—
1351C2×D4—222no—
1352C2×D4—221no—
1353C2×D4—222no—
1354C2×D4—444no—
1355C2×D4—448no—
1356C2×D4—884no—
1357C2×D4—882no—
1358C2×D4D4×D1112yes—
1359C2×D4D4×D1111yescharacteristic
1360C2×D4D4×D1114yescomplemented
1361C2×D4C23×D1112yes—
1362C2×D4C23×D1111yescharacteristic
1363C2×D4C23×D1112yes—
1364C22×C4—22no—
1365C22×C4—21no—
1366C22×C4—112no—
1367C22×C4—111no—
1368C22×C4—112no—
1369C22×C4—112no—
1370C22×C4—112no—
1371C22×C4—111no—
1372C22×C4—111no—
1373C22×C4—111no—
1374C22×C4—111no—
1375C22×C4—224no—
1376C22×C4—224no—
1377C22×C4—222no—
1378C22×C4—221no—
1379C22×C4—221no—
1380C22×C4—2216no—
1381C22×C4—228no—
1382C22×C4—222no—
1383C22×C4—222no—
1384C22×C4—221no—
1385C22×C4—222no—
1386C22×C4—222no—
1387C22×C4—222no—
1388C22×C4—222no—
1389C22×C4—221no—
1390C22×C4—221no—
1391C22×C4—221no—
1392C22×C4C23×D1112yes—
1393C22×C4C23×D1111yescharacteristic
1394Q16—222no—
1395Q16—222no—
1396SD16—24no—
1397SD16—222no—
1398SD16—224no—
1399SD16—222no—
1400SD16—224no—
1401SD16—222no—
1402SD16—222no—
1403SD16—224no—
1404D8—24no—
1405D8—24no—
1406D8—24no—
1407D8—222no—
1408D8—224no—
1409D8—224no—
1410D8—224no—
1411D8—224no—
1412D8—222no—
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×D1111yescharacteristic
1426C2×C8C23×D1111yescharacteristic
1427C2×C8C23×D1112yes—
1428C4⋊C4—112no—
1429C4⋊C4—222no—
1430C4⋊C4—221no—
1431C4⋊C4—221no—
1432C4⋊C4—221no—
1433C4⋊C4—222no—
1434C4⋊C4C23×D1111yescharacteristic
1435C4⋊C4C23×D1111yescharacteristic
1436C22⋊C4—21no—
1437C22⋊C4—22no—
1438C22⋊C4—22no—
1439C22⋊C4—221no—
1440C22⋊C4—221no—
1441C22⋊C4—222no—
1442C22⋊C4—221no—
1443C22⋊C4—221no—
1444C22⋊C4—222no—
1445C22⋊C4—222no—
1446C22⋊C4—222no—
1447C22⋊C4—222no—
1448C42—21no—
1449C42—222no—
1450C11#6037211yescharacteristic, complemented, Sylow
1451C23—28no—
1452C23—22no—
1453C23—21no—
1454C23—24no—
1455C23—22no—
1456C23—42no—
1457C23—81no—
1458C23—81no—
1459C23—82no—
1460C23—82no—
1461C23—81no—
1462C23—81no—
1463C23—111no—
1464C23—112no—
1465C23—111no—
1466C23—224no—
1467C23—222no—
1468C23—224no—
1469C23—228no—
1470C23—228no—
1471C23—228no—
1472C23—224no—
1473C23—228no—
1474C23—228no—
1475C23—222no—
1476C23—222no—
1477C23—221no—
1478C23—224no—
1479C23—221no—
1480C23—441no—
1481C23—442no—
1482C23—444no—
1483C23—442no—
1484C23—444no—
1485C23—444no—
1486C23—442no—
1487C23—881no—
1488C23—881no—
1489C23—882no—
1490C23—882no—
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—114no—
1506Q8—112no—
1507Q8—224no—
1508Q8—224no—
1509Q8—221no—
1510Q8—221no—
1511Q8—221no—
1512Q8C2×D4×D1112yes—
1513D4—28no—
1514D4—28no—
1515D4—24no—
1516D4—24no—
1517D4—22no—
1518D4—24no—
1519D4—22no—
1520D4—21no—
1521D4—22no—
1522D4—22no—
1523D4—42no—
1524D4—82no—
1525D4—82no—
1526D4—118no—
1527D4—114no—
1528D4—114no—
1529D4—112no—
1530D4—224no—
1531D4—228no—
1532D4—224no—
1533D4—228no—
1534D4—224no—
1535D4—228no—
1536D4—228no—
1537D4—224no—
1538D4—228no—
1539D4—228no—
1540D4—224no—
1541D4—228no—
1542D4—228no—
1543D4—224no—
1544D4—224no—
1545D4—224no—
1546D4—221no—
1547D4—222no—
1548D4—221no—
1549D4—221no—
1550D4—442no—
1551D4—444no—
1552D4—444no—
1553D4—444no—
1554D4—442no—
1555D4—881no—
1556D4—882no—
1557D4—882no—
1558D4C2×D4×D1112yes—
1559D4C2×D4×D1114yes—
1560C2×C4—28no—
1561C2×C4—21no—
1562C2×C4—24no—
1563C2×C4—22no—
1564C2×C4—22no—
1565C2×C4—21no—
1566C2×C4—21no—
1567C2×C4—112no—
1568C2×C4—114no—
1569C2×C4—114no—
1570C2×C4—111no—
1571C2×C4—111no—
1572C2×C4—224no—
1573C2×C4—228no—
1574C2×C4—224no—
1575C2×C4—224no—
1576C2×C4—224no—
1577C2×C4—228no—
1578C2×C4—224no—
1579C2×C4—228no—
1580C2×C4—224no—
1581C2×C4—222no—
1582C2×C4—221no—
1583C2×C4—222no—
1584C2×C4—222no—
1585C2×C4—224no—
1586C2×C4—221no—
1587C2×C4—221no—
1588C2×C4—221no—
1589C2×C4—221no—
1590C2×C4—222no—
1591C2×C4—221no—
1592C2×C4—444no—
1593C2×C4—442no—
1594C2×C4—882no—
1595C2×C4—881no—
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—221no—
1606C8—222no—
1607C22—21no—
1608C22—21no—
1609C22—22no—
1610C22—22no—
1611C22—24no—
1612C22—22no—
1613C22—22no—
1614C22—42no—
1615C22—41no—
1616C22—42no—
1617C22—41no—
1618C22—42no—
1619C22—42no—
1620C22—42no—
1621C22—84no—
1622C22—88no—
1623C22—112no—
1624C22—114no—
1625C22—162no—
1626C22—222no—
1627C22—221no—
1628C22—221no—
1629C22—222no—
1630C22—221no—
1631C22—224no—
1632C22—222no—
1633C22—221no—
1634C22—221no—
1635C22—444no—
1636C22—448no—
1637C22—4416no—
1638C22—448no—
1639C22—442no—
1640C22—441no—
1641C22—442no—
1642C22—441no—
1643C22—441no—
1644C22—441no—
1645C22—441no—
1646C22—884no—
1647C22—888no—
1648C22—888no—
1649C22—888no—
1650C22—888no—
1651C22—1764no—
1652C22D11×#12012yes—
1653C22C22×D4×D1111yescharacteristic
1654C4—22no—
1655C4—22no—
1656C4—41no—
1657C4—41no—
1658C4—114no—
1659C4—221no—
1660C4—221no—
1661C4—222no—
1662C4—442no—
1663C4—441no—
1664C4D11×#12012yes—
1665C4C22×D4×D1111yescharacteristic
1666C4C22×D4×D1111yescharacteristic
1667C2—22no—
1668C2—42no—
1669C2—44no—
1670C2—42no—
1671C2—82no—
1672C2—222no—
1673C2—224no—
1674C2—441no—
1675C2—444no—
1676C2—442no—
1677C2—881no—
1678C2C2×D11×#12011yescharacteristic
1679C2D11×#57611yescharacteristic
1680C2#1308339111yescharacteristic
subgroupG/H
centerC22C22×D4×D11
commutator, cosocleC2×C4×C11C25
FrattiniC2×C4C24×D11
FittingC11×#3008C2
socleC22×C11C23×D4
hypercenter#3008D11
hypocenterC11#60372
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C22 ◁ C2×#41 ◁ #3008

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×#10623288C2semidirect
4. #13082283C2semidirect
5. #13077923C2semidirect
6. #13077920C2semidirect
7. #13077918C2semidirect
8. #13077915C2semidirect
9. #13077882C2semidirect
10. #13077881C2semidirect
11. #13077879C2semidirect
12. #13077865C2semidirect
13. #13077864C2semidirect
14. #13077845C2semidirect
15. #13077840C2semidirect
16. #13077836C2semidirect
17. #13077831C2semidirect
18. C2×#10622769C2semidirect
19. D11×#447C2semidirect
20. #13077141C2semidirect
21. #13077138C2semidirect
22. #13077064C2semidirect
23. C11×#3008C2semidirect
24. C2×C11×H(5,𝔽2)C22semidirect
29. C2×#67042C22semidirect
30. C2×#67042C22semidirect
33. C2×#41×D11C22semidirect
34. C2×#41×D11C22semidirect
38. C2×#67037C22semidirect
39. C2×#67037C22semidirect
42. C22×D4×D11C22semidirect
43. C22×D4×D11C22semidirect
44. C2×C11×AGL(1,ℤ/8)C22semidirect
45. C22×C11×D8C22semidirect
46. C11×#535C22semidirect
47. #10623364C22semidirect
48. C2×#67003C22semidirect
49. C2×#66991C22semidirect
50. C2×#66985C22semidirect
51. C2×#66985C22semidirect
52. C22×#4323C22semidirect
54. C2×#66969C22semidirect
55. C2×#66967C22semidirect
57. C2×#66965C22semidirect
58. C2×#66964C22semidirect
59. C2×#66964C22semidirect
60. C2×#66964C22semidirect
61. C2×D8×D11C22semidirect
62. C2×D8×D11C22semidirect
63. C2×#66961C22semidirect
64. C2×#66960C22semidirect
65. C2×#66957C22semidirect
66. C2×#66954C22semidirect
71. #10623139C22semidirect
72. #10623138C22semidirect
73. #10623137C22semidirect
74. D11×#121C22semidirect
77. #10623055C22semidirect
78. #10623054C22semidirect
79. C11×#449C22semidirect
80. C11×#449C22semidirect
81. C11×#447C22semidirect
82. C11×#447C22semidirect
83. C11×#418C22semidirect
84. C11×#416C22semidirect
85. C11×#408C22semidirect
86. #10622852C22semidirect
87. #10622851C22semidirect
88. #10622847C22semidirect
89. #10622845C22semidirect
90. #10622831C22semidirect
91. #10622830C22semidirect
92. C2×#66896C22semidirect
93. #10622785C22semidirect
94. #10622783C22semidirect
95. #10622771C22semidirect
96. #10622769C22semidirect
97. #10622769C22semidirect
98. #10622769C22semidirect
99. #10622769C22semidirect
100. #10622769C22semidirect
101. #10622746C22semidirect
102. #10622739C22semidirect
103. C2×#66885C22semidirect
104. C2×(C2×D11)⋊C8C22semidirect
105. #10622650C22semidirect
106. #10622650C22semidirect
107. #10622649C22semidirect
108. #10622649C22semidirect
109. #10622615C22semidirect
110. #10622614C22semidirect
111. #10622424C22semidirect
112. #10622423C22semidirect
113. #10622421C22semidirect
114. #10622419C22semidirect
115. #10622417C22semidirect
116. #10622416C22semidirect
117. #10622396C22semidirect
118. #10622394C22semidirect
119. #10622389C22semidirect
120. #10622389C22semidirect
121. #10622389C22semidirect
122. #10622386C22semidirect
123. #10622386C22semidirect
124. #10622386C22semidirect
125. #10622385C22semidirect
126. #10622384C22semidirect
127. #10622383C22semidirect
128. #10622383C22semidirect
129. D11×#102C22semidirect
130. D11×#102C22semidirect
131. #10622347C22semidirect
132. #10622346C22semidirect
133. #10622345C22semidirect
134. #10622344C22semidirect
135. #10622340C22semidirect
136. #10622340C22semidirect
137. #10622339C22semidirect
138. D11×C22⋊C8C22semidirect
151. C22×D4×C11C23semidirect
165. #67042D4semidirect
186. #67037D4semidirect
196. C2×#4341C23semidirect
225. C2×D4×D11C23semidirect
234. C2×#4339C23semidirect
244. C2×C11×SD16C23semidirect
246. C2×C11×D8C23semidirect
247. C2×C11×D8C23semidirect
248. C2×C11×D8C23semidirect
249. C2×C11×M16C23semidirect
250. C22×C8×C11C23semidirect
253. C11×#121C23semidirect
254. C11×#121C23semidirect
256. C11×#117C23semidirect
260. C2×#4326C23semidirect
261. C2×#4325C23semidirect
271. #66991C23semidirect
275. C2×#4324C23semidirect
276. C2×#4324C23semidirect
277. C2×#4324C23semidirect
281. C2×#4323C23semidirect
282. C2×#4323C23semidirect
283. C2×#4323C23semidirect
284. C2×#4323C23semidirect
285. C2×#4323C23semidirect
286. #66983C23semidirect
287. C2×C4⋊Dic11C23semidirect
288. #66977C23semidirect
289. C2×#4318C23semidirect
290. C22×C11⋊C8C23semidirect
301. C2×Dic44C23semidirect
303. C2×D88C23semidirect
304. C2×D88C23semidirect
305. C2×#4314C23semidirect
306. C2×#4314C23semidirect
307. C2×#4314C23semidirect
309. C2×#4313C23semidirect
310. C2×#4313C23semidirect
311. C2×C8×D11C23semidirect
312. C2×C8×D11C23semidirect
314. #66950C23semidirect
316. #66948C23semidirect
317. #66945C23semidirect
318. C4⋊C4×D11C23semidirect
334. C11×#103C23semidirect
335. C11×#103C23semidirect
336. C11×#102C23semidirect
337. C11×#102C23semidirect
338. C11×#102C23semidirect
339. C11×#102C23semidirect
340. C11×C22⋊C8C23semidirect
341. C11×C22⋊C8C23semidirect
342. #66899C23semidirect
343. #66896C23semidirect
344. #66896C23semidirect
345. #66896C23semidirect
346. C22⋊(C11⋊C8)C23semidirect
347. C22⋊(C11⋊C8)C23semidirect
348. #66885C23semidirect
349. #66885C23semidirect
350. #66885C23semidirect
354. (C2×D11)⋊C8C23semidirect
355. (C2×D11)⋊C8C23semidirect
356. (C2×D11)⋊C8C23semidirect
357. #66880C23semidirect
358. #66874C23semidirect
359. #66874C23semidirect
360. #66873C23semidirect
361. #66873C23semidirect
362. #66873C23semidirect
363. #66873C23semidirect
390. C11×#41C2×D4semidirect
409. C2×D4×C11C2×D4semidirect
453. #4343C2×D4semidirect
469. #4341C2×D4semidirect
497. D4×D11C2×D4semidirect
498. D4×D11C2×D4semidirect
512. #4339C2×D4semidirect
526. C2×D44C2×D4semidirect
622. #3008D11semidirect
801. C2×H(5,𝔽2)C2×D11semidirect
819. C2×AGL(1,ℤ/8)C2×D11semidirect
827. C22×D8C2×D11semidirect
839. #535C2×D11semidirect
863. #449C2×D11semidirect
864. #449C2×D11semidirect
879. #447C2×D11semidirect
880. #447C2×D11semidirect
884. #418C2×D11semidirect
892. #416C2×D11semidirect
900. #408C2×D11semidirect
951. C2×D11#576semidirect
1064. C22×D4C22×D11semidirect
1090. C2×SD16C22×D11semidirect
1102. C2×D8C22×D11semidirect
1103. C2×D8C22×D11semidirect
1104. C2×D8C22×D11semidirect
1110. C2×M16C22×D11semidirect
1114. C22×C8C22×D11semidirect
1140. #121C22×D11semidirect
1141. #121C22×D11semidirect
1155. #117C22×D11semidirect
1164. #103C22×D11semidirect
1165. #103C22×D11semidirect
1176. #102C22×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×#106232882
#130822832
#130779232
#130779202
#130779182
#130779152
#130778822
#130778812
#130778792
#130778652
#130778642
#130778452
#130778402
#130778362
#130778312
C2×#106227692
D11×#4472
#130771412
#130771382
#130770642
C11×#30082
#6037211