Finite Group Databasebeta

← C11×#61092 #14638285

Subgroups — C11×#61092 #14638285

Order 2816.

2770 conjugacy classes of subgroups.

The subgroup lattice has 1400 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C11×#577C211yesmaximal, characteristic, complemented
2C2×C11×#576C211yesmaximal, characteristic, complemented
3C11×#3500C211yesmaximal, characteristic, complemented
4C11×#3496C211yesmaximal, characteristic, complemented
5C11×#3282C212yesmaximal, complemented
6C11×#3280C212yesmaximal, complemented
7C11×#3275C212yesmaximal, complemented
8C11×#3273C212yesmaximal, complemented
9C11×#3269C212yesmaximal, complemented
10C11×#3267C212yesmaximal, complemented
11C11×#3265C212yesmaximal, complemented
12C11×#3264C212yesmaximal, complemented
13C11×#3153C211yesmaximal, characteristic, complemented
14C11×#3063C211yesmaximal, characteristic, complemented
15C11×#3062C211yesmaximal, characteristic, complemented
16C11×#3035C211yesmaximal, characteristic, complemented
17C2×C11×#463C211yesmaximal, characteristic, complemented
18C11×#3013C211yesmaximal, characteristic, complemented
19C11×#3012C211yesmaximal, characteristic, complemented
20C11×#3009C211yesmaximal, characteristic, complemented
21C11×#3008C211yesmaximal, characteristic, complemented
22C4×C11×AGL(1,ℤ/8)C211yesmaximal, characteristic, complemented
23C11×#2935C211yesmaximal, characteristic, complemented
24C2×C11×2−1+4C2211yescharacteristic, complemented
25C2×C11×H(5,𝔽2)C2211yescharacteristic
26C2×C11×H(5,𝔽2)C2211yescharacteristic, complemented
27C2×C11×H(5,𝔽2)C2211yescharacteristic, complemented
28C11×#577—28no—
29C11×#576—28no—
30C2×C11×#137C2211yescharacteristic, complemented
31C2×C11×#137C2212yescomplemented
32C2×C11×#137C2211yescharacteristic, complemented
33C2×C11×AGL(1,ℤ/8)C2211yescharacteristic
34C2×C11×AGL(1,ℤ/8)C2211yescharacteristic, complemented
35C2×C11×AGL(1,ℤ/8)C2212yescomplemented
36C2×C11×AGL(1,ℤ/8)C2212yescomplemented
37C2×C11×AGL(1,ℤ/8)C2212yescomplemented
38C2×C11×AGL(1,ℤ/8)C2211yescharacteristic, complemented
39C2×C11×#135C2212yescomplemented
40C2×C11×#135C2211yescharacteristic, complemented
41C2×C11×#135C2211yescharacteristic, complemented
42C2×C11×#135C2212yescomplemented
43C22×C11×SD16C2211yescharacteristic, complemented
44C22×C11×SD16C2212yescomplemented
45C22×C11×D8C2211yescharacteristic
46C22×C11×D8C2212yescomplemented
47C2×C11×#131C2211yescharacteristic, complemented
48C2×C11×#131C2211yescharacteristic, complemented
49C11×#548C2212yescomplemented
50C11×#548C2212yescomplemented
51C11×#547—21no—
52C11×#547C2212yescomplemented
53C11×#546—21no—
54C11×#546—21no—
55C11×#546—22no—
56C11×#546—22no—
57C11×#546C2212yescomplemented
58C11×#546C2212yescomplemented
59C11×#546C2212yescomplemented
60C11×#546C2212yescomplemented
61D42×C11—21no—
62D42×C11C2212yescomplemented
63C11×#537C2211yescharacteristic
64C11×#537C2211yescharacteristic, complemented
65C11×#536—21no—
66C11×#536C2211yescharacteristic, complemented
67C11×#535—21no—
68C11×#535C2211yescharacteristic, complemented
69C11×#534—22no—
70C11×#532—21no—
71C11×#532C2211yescharacteristic
72C11×#532C2211yescharacteristic, complemented
73C2×C11×#124—21no—
74C2×C11×#124C2211yescharacteristic, complemented
75C2×C11×#121—22no—
76C4×C11×#41C2211yescharacteristic, complemented
77C2×C4×D4×C11C2211yescharacteristic, complemented
78C11×#497C2212yescomplemented
79C11×#496C2212yescomplemented
80C11×#495C2212yescomplemented
81C11×#495C2212yescomplemented
82C11×#470C2212yescomplemented
83C11×#469C2212yescomplemented
84C11×#468C2212yescomplemented
85C11×#468C2212yescomplemented
86C11×#467C2212yescomplemented
87C11×#466C2212yescomplemented
88C11×#465C2212yescomplemented
89C11×#465C2212yescomplemented
90C11×#464C2211yescharacteristic, complemented
91C11×#464C2211yescharacteristic, complemented
92C11×#463C2212yescomplemented
93C11×#463C2212yescomplemented
94C11×#463C2211yescharacteristic, complemented
95C11×#463C2212yescomplemented
96C11×#463C2211yescharacteristic, complemented
97C11×#463C2212yescomplemented
98C11×#462C2211yescharacteristic, complemented
99C11×#461C2211yescharacteristic, complemented
100C11×#460C2211yescharacteristic, complemented
101C11×#459C2211yescharacteristic, complemented
102C11×#452C2212yescomplemented
103C11×#452C2212yescomplemented
104C11×#452C2212yescomplemented
105C11×#452C2212yescomplemented
106C11×#451C2212yescomplemented
107C11×#450C2212yescomplemented
108C11×#450C2212yescomplemented
109C11×#450C2212yescomplemented
110C11×#449C2212yescomplemented
111C11×#449C2212yescomplemented
112C11×#449C2212yescomplemented
113C11×#449C2212yescomplemented
114C11×#448C2212yescomplemented
115C11×#447C2212yescomplemented
116C11×#447C2212yescomplemented
117C11×#447C2212yescomplemented
118C11×#442C2212yescomplemented
119C11×#440C2212yescomplemented
120C4×C11×SD16C2212yescomplemented
121C4×C11×D8C2212yescomplemented
122C11×#436C2212yescomplemented
123C11×#435C2212yescomplemented
124C11×#435C2212yescomplemented
125C8×D4×C11C2212yescomplemented
126C11×#428C2211yescharacteristic, complemented
127C2×C11×C4⋊C8C2211yescharacteristic, complemented
128C11×#418C2211yescharacteristic, complemented
129C11×#417C2211yescharacteristic, complemented
130C11×#416C2211yescharacteristic, complemented
131C11×#416C2211yescharacteristic, complemented
132C2×C11×#103C2211yescharacteristic, complemented
133C2×C11×#102C2211yescharacteristic, complemented
134C11×#408C2211yescharacteristic, complemented
135C11×#408C2211yescharacteristic, complemented
136C4×C11×M16C2211yescharacteristic, complemented
137C11×2−1+4—24no—
138C11×2−1+4—42no—
139C11×H(5,𝔽2)—24no—
140C11×H(5,𝔽2)—24no—
141C11×H(5,𝔽2)—24no—
142C11×H(5,𝔽2)—42no—
143C11×H(5,𝔽2)—42no—
144C11×H(5,𝔽2)—42no—
145C2×C11×#41—21no—
146C2×C11×#41—21no—
147C2×C11×#41—21no—
148C2×C11×#41—21no—
149C2×C11×#41—22no—
150C2×C11×#41C2311yescharacteristic
151C2×C11×#41C2311yescharacteristic
152C2×C11×#41C2312yes—
153C2×C11×#41C2312yes—
154C2×C11×#41C2312yes—
155C2×C11×#41C2312yes—
156C2×C11×#41C2311yescharacteristic
157C2×C11×#41C2311yescharacteristic
158C2×C11×#41C2311yescharacteristic
159C22×Q8×C11—21no—
160C22×Q8×C11C2311yescharacteristic
161C22×Q8×C11C2312yes—
162C22×D4×C11—22no—
163C22×D4×C11—22no—
164C22×D4×C11—21no—
165C22×D4×C11—21no—
166C22×D4×C11—21no—
167C22×D4×C11—22no—
168C22×D4×C11—22no—
169C22×D4×C11C2311yescharacteristic
170C22×D4×C11C2312yes—
171C22×D4×C11C2312yes—
172C22×D4×C11C2312yes—
173C22×D4×C11C2311yescharacteristic
174C23×C4×C11—21no—
175C11×#137—28no—
176C11×#137—24no—
177C11×#137—42no—
178C11×AGL(1,ℤ/8)—28no—
179C11×AGL(1,ℤ/8)—28no—
180C11×AGL(1,ℤ/8)—28no—
181C11×AGL(1,ℤ/8)—24no—
182C11×AGL(1,ℤ/8)—42no—
183C11×AGL(1,ℤ/8)D418yescomplemented
184C11×#135—24no—
185C11×#135—24no—
186C11×#135—28no—
187C11×#135—28no—
188C2×C11×Q16C2312yes—
189C2×C11×Q16C2311yescharacteristic
190C2×C11×Q16C2311yescharacteristic
191C2×C11×Q16C2312yes—
192C2×C11×SD16—24no—
193C2×C11×SD16—28no—
194C2×C11×SD16C2312yes—
195C2×C11×SD16C2312yes—
196C2×C11×SD16C2311yescharacteristic
197C2×C11×SD16C2312yes—
198C2×C11×SD16C2312yes—
199C2×C11×SD16C2311yescharacteristic
200C2×C11×SD16C2311yescharacteristic
201C2×C11×SD16C2311yescharacteristic
202C2×C11×SD16C2312yes—
203C2×C11×SD16C2312yes—
204C2×C11×SD16C2312yes—
205C2×C11×D8—24no—
206C2×C11×D8—28no—
207C2×C11×D8C2312yes—
208C2×C11×D8C2312yes—
209C2×C11×D8C2312yes—
210C2×C11×D8C2311yescharacteristic
211C2×C11×D8C2311yescharacteristic
212C2×C11×D8C2312yes—
213C2×C11×D8C2312yes—
214C11×#131—24no—
215C11×#131—24no—
216C2×C11×M16C2311yescharacteristic
217C2×C11×M16C2312yes—
218C2×C11×M16C2312yes—
219C2×C11×M16C2311yescharacteristic
220C22×C8×C11C2311yescharacteristic
221C22×C8×C11C2311yescharacteristic
222C22×C8×C11C2312yes—
223C22×C8×C11C2312yes—
224C11×C4⋊Q8—21no—
225C11×C4⋊Q8D411yescharacteristic
226C11×C4⋊Q8C2311yescharacteristic
227C11×#127—21no—
228C11×#127D411yescharacteristic
229C11×#127C2311yescharacteristic
230C11×#124—21no—
231C11×#124—21no—
232C11×#124—22no—
233C11×#124—22no—
234C11×#124—21no—
235C11×#124—21no—
236C11×#124D411yescharacteristic
237C11×#124D411yescharacteristic
238C11×#124C2312yes—
239C11×#124C2311yescharacteristic
240C11×#124C2311yescharacteristic
241C11×#124C2312yes—
242C11×#123—22no—
243C11×#123—22no—
244C11×#123—22no—
245C11×#123—22no—
246C11×#123—22no—
247C11×#123—22no—
248C11×#123—22no—
249C11×C22⋊Q8—21no—
250C11×C22⋊Q8—21no—
251C11×C22⋊Q8—22no—
252C11×C22⋊Q8—22no—
253C11×C22⋊Q8C2312yes—
254C11×C22⋊Q8C2312yes—
255C11×C22⋊Q8C2312yes—
256C11×C22⋊Q8C2312yes—
257C11×#121—22no—
258C11×#121—22no—
259C11×#121—22no—
260C11×#121—22no—
261C11×#121—22no—
262C11×#121—21no—
263C11×#121—21no—
264C11×#121—21no—
265C11×#121—21no—
266C11×#121—22no—
267C11×#121—22no—
268C11×#121—22no—
269C11×#121—22no—
270C11×#121—22no—
271C11×#121D412yes—
272C11×#121D412yes—
273C11×#121C2312yes—
274C11×#121C2312yes—
275C11×#121C2312yes—
276C11×#121C2312yes—
277C11×#120—22no—
278C11×#120—22no—
279C11×#120—22no—
280C11×#120—22no—
281C11×#120—22no—
282C11×#120—22no—
283C11×#120—22no—
284C4×Q8×C11C2311yescharacteristic
285C4×Q8×C11C2311yescharacteristic
286C4×D4×C11—21no—
287C4×D4×C11—21no—
288C4×D4×C11—22no—
289C4×D4×C11—22no—
290C4×D4×C11—21no—
291C4×D4×C11—21no—
292C4×D4×C11—21no—
293C4×D4×C11—21no—
294C4×D4×C11C2312yes—
295C4×D4×C11C2312yes—
296C4×D4×C11C2311yescharacteristic
297C4×D4×C11C2311yescharacteristic
298C4×D4×C11C2312yes—
299C4×D4×C11C2312yes—
300C11×#117—21no—
301C11×#117C2311yescharacteristic
302C2×C11×C4⋊C4—22no—
303C2×C11×C4⋊C4C2311yescharacteristic
304C2×C11×C22⋊C4—21no—
305C2×C11×C22⋊C4—21no—
306C2×C11×C22⋊C4—21no—
307C2×C11×C22⋊C4—22no—
308C2×C11×C22⋊C4—22no—
309C2×C11×C22⋊C4—22no—
310C2×C11×C22⋊C4—22no—
311C2×C42×C11—21no—
312C2×C42×C11C2311yescharacteristic
313C11×#107C2312yes—
314C11×#106C2312yes—
315C11×C4⋊C8C2311yescharacteristic
316C11×C4⋊C8C2311yescharacteristic
317C11×C4⋊C8C2311yescharacteristic
318C11×C4⋊C8C2311yescharacteristic
319C11×#103C2312yes—
320C11×#103C2312yes—
321C11×#103C2311yescharacteristic
322C11×#103C2311yescharacteristic
323C11×#103C2311yescharacteristic
324C11×#103C2311yescharacteristic
325C11×#103C2312yes—
326C11×#102C2312yes—
327C11×#102C2312yes—
328C11×#102C2311yescharacteristic
329C11×#102C2311yescharacteristic
330C11×#102C2311yescharacteristic
331C11×#102C2311yescharacteristic
332C11×#102C2312yes—
333C11×#102C2312yes—
334C11×#102C2312yes—
335C11×C22⋊C8C2312yes—
336C11×C22⋊C8C2312yes—
337C11×C22⋊C8C2312yes—
338C11×C22⋊C8C2312yes—
339C11×#97C2312yes—
340C4×C8×C11C2312yes—
341#61092C1111yesmaximal, characteristic, direct product factor, Sylow
342C24×C11—21no—
343C24×C11—22no—
344C24×C11—21no—
345C24×C11—22no—
346C24×C11—22no—
347C11×#41—22no—
348C11×#41—22no—
349C11×#41—22no—
350C11×#41—22no—
351C11×#41—22no—
352C11×#41—24no—
353C11×#41—24no—
354C11×#41—24no—
355C11×#41—24no—
356C11×#41—22no—
357C11×#41—22no—
358C11×#41—22no—
359C11×#41—22no—
360C11×#41—42no—
361C11×#41—42no—
362C11×#41—42no—
363C11×#41—42no—
364C11×#41—44no—
365C11×#41—44no—
366C11×#41—48no—
367C11×#41—44no—
368C11×#41—44no—
369C11×#41C2×D414yescomplemented
370C2×Q8×C11—22no—
371C2×Q8×C11—21no—
372C2×Q8×C11—24no—
373C2×Q8×C11—22no—
374C2×Q8×C11—22no—
375C2×Q8×C11—42no—
376C2×Q8×C11—44no—
377C2×Q8×C11C2×D411yescharacteristic
378C2×Q8×C11C2×D411yescharacteristic
379C2×Q8×C11C2412yes—
380C2×Q8×C11C2411yescharacteristic
381C2×Q8×C11C2411yescharacteristic
382C2×Q8×C11C2411yescharacteristic
383C2×D4×C11—21no—
384C2×D4×C11—24no—
385C2×D4×C11—24no—
386C2×D4×C11—24no—
387C2×D4×C11—22no—
388C2×D4×C11—22no—
389C2×D4×C11—22no—
390C2×D4×C11—21no—
391C2×D4×C11—21no—
392C2×D4×C11—22no—
393C2×D4×C11—22no—
394C2×D4×C11—22no—
395C2×D4×C11—22no—
396C2×D4×C11—22no—
397C2×D4×C11—21no—
398C2×D4×C11—22no—
399C2×D4×C11—21no—
400C2×D4×C11—22no—
401C2×D4×C11—22no—
402C2×D4×C11—22no—
403C2×D4×C11—21no—
404C2×D4×C11—21no—
405C2×D4×C11—22no—
406C2×D4×C11—22no—
407C2×D4×C11—42no—
408C2×D4×C11—42no—
409C2×D4×C11—42no—
410C2×D4×C11—44no—
411C2×D4×C11—48no—
412C2×D4×C11—44no—
413C2×D4×C11—44no—
414C2×D4×C11—48no—
415C2×D4×C11—48no—
416C2×D4×C11—84no—
417C2×D4×C11C2×D412yes—
418C2×D4×C11C2×D412yes—
419C2×D4×C11C2×D411yescharacteristic
420C2×D4×C11C2×D411yescharacteristic
421C2×D4×C11C2×D414yes—
422C2×D4×C11C2×D412yes—
423C2×D4×C11C2×D412yes—
424C2×D4×C11C2412yes—
425C2×D4×C11C2411yescharacteristic
426C2×D4×C11C2411yescharacteristic
427C2×D4×C11C2411yescharacteristic
428C2×D4×C11C2412yes—
429C22×C4×C11—21no—
430C22×C4×C11—21no—
431C22×C4×C11—22no—
432C22×C4×C11—21no—
433C22×C4×C11—22no—
434C22×C4×C11—22no—
435C22×C4×C11—22no—
436C22×C4×C11—22no—
437C22×C4×C11—21no—
438C22×C4×C11—21no—
439C22×C4×C11—22no—
440C22×C4×C11—21no—
441C22×C4×C11—21no—
442C22×C4×C11—22no—
443C22×C4×C11—82no—
444C22×C4×C11C2×D411yescharacteristic
445C22×C4×C11C2×D411yescharacteristic
446C22×C4×C11C2412yes—
447C22×C4×C11C2412yes—
448C22×C4×C11C2411yescharacteristic
449C11×Q16—24no—
450C11×Q16—22no—
451C11×Q16—22no—
452C11×Q16—42no—
453C11×SD16—24no—
454C11×SD16—24no—
455C11×SD16—22no—
456C11×SD16—22no—
457C11×SD16—24no—
458C11×SD16—24no—
459C11×SD16—22no—
460C11×SD16—22no—
461C11×SD16—42no—
462C11×SD16—42no—
463C11×SD16C2×D418yescomplemented
464C11×D8—24no—
465C11×D8—22no—
466C11×D8—24no—
467C11×D8—24no—
468C11×D8—22no—
469C11×D8—42no—
470C11×D8C2×D418yescomplemented
471C11×M16—24no—
472C11×M16—24no—
473C11×M16—22no—
474C11×M16C2×D414yescomplemented
475C2×C8×C11—24no—
476C2×C8×C11—24no—
477C2×C8×C11—22no—
478C2×C8×C11—22no—
479C2×C8×C11C2412yes—
480C2×C8×C11C2411yescharacteristic
481C2×C8×C11C2411yescharacteristic
482C2×C8×C11C2411yescharacteristic
483C2×C8×C11C2411yescharacteristic
484C2×C8×C11C2412yes—
485C11×C4⋊C4—21no—
486C11×C4⋊C4—22no—
487C11×C4⋊C4—22no—
488C11×C4⋊C4—21no—
489C11×C4⋊C4—21no—
490C11×C4⋊C4—21no—
491C11×C4⋊C4—22no—
492C11×C4⋊C4—22no—
493C11×C4⋊C4—21no—
494C11×C4⋊C4C2×D412yes—
495C11×C4⋊C4C2×D412yes—
496C11×C4⋊C4C2411yescharacteristic
497C11×C4⋊C4C2411yescharacteristic
498C11×C4⋊C4C2412yes—
499C11×C22⋊C4—22no—
500C11×C22⋊C4—22no—
501C11×C22⋊C4—22no—
502C11×C22⋊C4—22no—
503C11×C22⋊C4—21no—
504C11×C22⋊C4—21no—
505C11×C22⋊C4—21no—
506C11×C22⋊C4—22no—
507C11×C22⋊C4—22no—
508C11×C22⋊C4—22no—
509C11×C22⋊C4—22no—
510C11×C22⋊C4—22no—
511C11×C22⋊C4—22no—
512C11×C22⋊C4—22no—
513C11×C22⋊C4—22no—
514C11×C22⋊C4—22no—
515C11×C22⋊C4—22no—
516C11×C22⋊C4—21no—
517C11×C22⋊C4—21no—
518C11×C22⋊C4—21no—
519C11×C22⋊C4—21no—
520C11×C22⋊C4C2×D412yes—
521C11×C22⋊C4C2×D412yes—
522C11×C22⋊C4C2×D412yes—
523C11×C22⋊C4C2×D412yes—
524C42×C11—21no—
525C42×C11—21no—
526C42×C11—21no—
527C42×C11C2×D411yescharacteristic
528C42×C11C2×D411yescharacteristic
529C42×C11C2411yescharacteristic
530C42×C11C2411yescharacteristic
531C2×#577C2×C1111yescharacteristic, complemented
532C2×#576C2×C1111yescharacteristic, complemented
533#3500C2×C1111yescharacteristic, complemented
534#3496C2×C1111yescharacteristic, complemented
535#3282C2×C1112yescomplemented
536#3280C2×C1112yescomplemented
537#3275C2×C1112yescomplemented
538#3273C2×C1112yescomplemented
539#3269C2×C1112yescomplemented
540#3267C2×C1112yescomplemented
541#3265C2×C1112yescomplemented
542#3264C2×C1112yescomplemented
543#3153C2×C1111yescharacteristic, complemented
544#3063C2×C1111yescharacteristic, complemented
545#3062C2×C1111yescharacteristic, complemented
546#3035C2×C1111yescharacteristic, complemented
547C2×#463C2×C1111yescharacteristic, complemented
548#3013C2×C1111yescharacteristic, complemented
549#3012C2×C1111yescharacteristic, complemented
550#3009C2×C1111yescharacteristic, complemented
551#3008C2×C1111yescharacteristic, complemented
552C4×AGL(1,ℤ/8)C2×C1111yescharacteristic, complemented
553#2935C2×C1111yescharacteristic, complemented
554C23×C11—21no—
555C23×C11—22no—
556C23×C11—24no—
557C23×C11—22no—
558C23×C11—21no—
559C23×C11—21no—
560C23×C11—44no—
561C23×C11—44no—
562C23×C11—44no—
563C23×C11—42no—
564C23×C11—81no—
565C23×C11—81no—
566C23×C11—82no—
567C23×C11—82no—
568C23×C11—81no—
569C23×C11—81no—
570C23×C11—82no—
571C23×C11—82no—
572C23×C11—82no—
573C23×C11—82no—
574C23×C11C22×D412yes—
575C23×C11C22×D412yes—
576C23×C11C22×D411yescharacteristic
577Q8×C11—22no—
578Q8×C11—22no—
579Q8×C11—21no—
580Q8×C11—22no—
581Q8×C11—21no—
582Q8×C11—21no—
583Q8×C11—21no—
584Q8×C11—22no—
585Q8×C11—21no—
586Q8×C11—44no—
587Q8×C11—42no—
588Q8×C11C22×D412yes—
589D4×C11—24no—
590D4×C11—24no—
591D4×C11—24no—
592D4×C11—24no—
593D4×C11—22no—
594D4×C11—22no—
595D4×C11—21no—
596D4×C11—22no—
597D4×C11—21no—
598D4×C11—22no—
599D4×C11—21no—
600D4×C11—21no—
601D4×C11—22no—
602D4×C11—21no—
603D4×C11—42no—
604D4×C11—42no—
605D4×C11—44no—
606D4×C11—44no—
607D4×C11—44no—
608D4×C11—44no—
609D4×C11—42no—
610D4×C11—44no—
611D4×C11—44no—
612D4×C11—44no—
613D4×C11—42no—
614D4×C11—42no—
615D4×C11—42no—
616D4×C11—81no—
617D4×C11—82no—
618D4×C11—82no—
619D4×C11—82no—
620D4×C11—82no—
621D4×C11C22×D412yes—
622D4×C11C22×D414yes—
623C2×C4×C11—21no—
624C2×C4×C11—24no—
625C2×C4×C11—22no—
626C2×C4×C11—22no—
627C2×C4×C11—22no—
628C2×C4×C11—22no—
629C2×C4×C11—21no—
630C2×C4×C11—21no—
631C2×C4×C11—22no—
632C2×C4×C11—22no—
633C2×C4×C11—21no—
634C2×C4×C11—21no—
635C2×C4×C11—41no—
636C2×C4×C11—41no—
637C2×C4×C11—44no—
638C2×C4×C11—44no—
639C2×C4×C11—44no—
640C2×C4×C11—44no—
641C2×C4×C11—44no—
642C2×C4×C11—44no—
643C2×C4×C11—42no—
644C2×C4×C11—42no—
645C2×C4×C11—42no—
646C2×C4×C11—81no—
647C2×C4×C11—81no—
648C2×C4×C11—82no—
649C2×C4×C11—81no—
650C2×C4×C11C22×D411yescharacteristic
651C2×C4×C11C22×D411yescharacteristic
652C2×C4×C11C22×D411yescharacteristic
653C2×C4×C11C22×D411yescharacteristic
654C2×C4×C11C22×D412yes—
655C2×C4×C11C22×D412yes—
656C2×C4×C11C22×D411yescharacteristic
657C2×C4×C11C22×D412yes—
658C2×C4×C11H(5,𝔽2)12yes—
659C2×C4×C11C2511yescharacteristic
660C8×C11—21no—
661C8×C11—21no—
662C8×C11—21no—
663C8×C11—21no—
664C8×C11—22no—
665C8×C11C22×D414yes—
666C2×2−1+4C22×C1111yescharacteristic, complemented
667C2×H(5,𝔽2)C22×C1111yescharacteristic
668C2×H(5,𝔽2)C22×C1111yescharacteristic, complemented
669C2×H(5,𝔽2)C22×C1111yescharacteristic, complemented
670#577—28no—
671#576—28no—
672C2×#137C22×C1111yescharacteristic, complemented
673C2×#137C22×C1112yescomplemented
674C2×#137C22×C1111yescharacteristic, complemented
675C2×AGL(1,ℤ/8)C22×C1111yescharacteristic
676C2×AGL(1,ℤ/8)C22×C1111yescharacteristic, complemented
677C2×AGL(1,ℤ/8)C22×C1112yescomplemented
678C2×AGL(1,ℤ/8)C22×C1112yescomplemented
679C2×AGL(1,ℤ/8)C22×C1112yescomplemented
680C2×AGL(1,ℤ/8)C22×C1111yescharacteristic, complemented
681C2×#135C22×C1112yescomplemented
682C2×#135C22×C1111yescharacteristic, complemented
683C2×#135C22×C1111yescharacteristic, complemented
684C2×#135C22×C1112yescomplemented
685C22×SD16C22×C1111yescharacteristic, complemented
686C22×SD16C22×C1112yescomplemented
687C22×D8C22×C1111yescharacteristic
688C22×D8C22×C1112yescomplemented
689C2×#131C22×C1111yescharacteristic, complemented
690C2×#131C22×C1111yescharacteristic, complemented
691#548C22×C1112yescomplemented
692#548C22×C1112yescomplemented
693#547—21no—
694#547C22×C1112yescomplemented
695#546—21no—
696#546—21no—
697#546—22no—
698#546—22no—
699#546C22×C1112yescomplemented
700#546C22×C1112yescomplemented
701#546C22×C1112yescomplemented
702#546C22×C1112yescomplemented
703D42—21no—
704D42C22×C1112yescomplemented
705#537C22×C1111yescharacteristic
706#537C22×C1111yescharacteristic, complemented
707#536—21no—
708#536C22×C1111yescharacteristic, complemented
709#535—21no—
710#535C22×C1111yescharacteristic, complemented
711#534—22no—
712#532—21no—
713#532C22×C1111yescharacteristic
714#532C22×C1111yescharacteristic, complemented
715C2×#124—21no—
716C2×#124C22×C1111yescharacteristic, complemented
717C2×#121—22no—
718C4×#41C22×C1111yescharacteristic, complemented
719C2×C4×D4C22×C1111yescharacteristic, complemented
720#497C22×C1112yescomplemented
721#496C22×C1112yescomplemented
722#495C22×C1112yescomplemented
723#495C22×C1112yescomplemented
724#470C22×C1112yescomplemented
725#469C22×C1112yescomplemented
726#468C22×C1112yescomplemented
727#468C22×C1112yescomplemented
728#467C22×C1112yescomplemented
729#466C22×C1112yescomplemented
730#465C22×C1112yescomplemented
731#465C22×C1112yescomplemented
732#464C22×C1111yescharacteristic, complemented
733#464C22×C1111yescharacteristic, complemented
734#463C22×C1112yescomplemented
735#463C22×C1112yescomplemented
736#463C22×C1111yescharacteristic, complemented
737#463C22×C1112yescomplemented
738#463C22×C1111yescharacteristic, complemented
739#463C22×C1112yescomplemented
740#462C22×C1111yescharacteristic, complemented
741#461C22×C1111yescharacteristic, complemented
742#460C22×C1111yescharacteristic, complemented
743#459C22×C1111yescharacteristic, complemented
744#452C22×C1112yescomplemented
745#452C22×C1112yescomplemented
746#452C22×C1112yescomplemented
747#452C22×C1112yescomplemented
748#451C22×C1112yescomplemented
749#450C22×C1112yescomplemented
750#450C22×C1112yescomplemented
751#450C22×C1112yescomplemented
752#449C22×C1112yescomplemented
753#449C22×C1112yescomplemented
754#449C22×C1112yescomplemented
755#449C22×C1112yescomplemented
756#448C22×C1112yescomplemented
757#447C22×C1112yescomplemented
758#447C22×C1112yescomplemented
759#447C22×C1112yescomplemented
760#442C22×C1112yescomplemented
761#440C22×C1112yescomplemented
762C4×SD16C22×C1112yescomplemented
763C4×D8C22×C1112yescomplemented
764#436C22×C1112yescomplemented
765#435C22×C1112yescomplemented
766#435C22×C1112yescomplemented
767C8×D4C22×C1112yescomplemented
768#428C22×C1111yescharacteristic, complemented
769C2×C4⋊C8C22×C1111yescharacteristic, complemented
770#418C22×C1111yescharacteristic, complemented
771#417C22×C1111yescharacteristic, complemented
772#416C22×C1111yescharacteristic, complemented
773#416C22×C1111yescharacteristic, complemented
774C2×#103C22×C1111yescharacteristic, complemented
775C2×#102C22×C1111yescharacteristic, complemented
776#408C22×C1111yescharacteristic, complemented
777#408C22×C1111yescharacteristic, complemented
778C4×M16C22×C1111yescharacteristic, complemented
779C22×C11—21no—
780C22×C11—21no—
781C22×C11—22no—
782C22×C11—22no—
783C22×C11—22no—
784C22×C11—22no—
785C22×C11—22no—
786C22×C11—22no—
787C22×C11—22no—
788C22×C11—24no—
789C22×C11—41no—
790C22×C11—42no—
791C22×C11—42no—
792C22×C11—41no—
793C22×C11—41no—
794C22×C11—41no—
795C22×C11—42no—
796C22×C11—41no—
797C22×C11—41no—
798C22×C11—42no—
799C22×C11—42no—
800C22×C11—41no—
801C22×C11—41no—
802C22×C11—84no—
803C22×C11—162no—
804C22×C11—164no—
805C22×C11—164no—
806C22×C11—164no—
807C22×C11D4212yes—
808C22×C11C23×D411yescharacteristic
809C4×C11—21no—
810C4×C11—21no—
811C4×C11—21no—
812C4×C11—21no—
813C4×C11—22no—
814C4×C11—22no—
815C4×C11—22no—
816C4×C11—41no—
817C4×C11—42no—
818C4×C11—41no—
819C4×C11—41no—
820C4×C11—41no—
821C4×C11—42no—
822C4×C11D4212yes—
823C4×C11C23×D411yescharacteristic
824C4×C11C2×H(5,𝔽2)11yescharacteristic
8252−1+4—24no—
8262−1+4—42no—
827H(5,𝔽2)—24no—
828H(5,𝔽2)—24no—
829H(5,𝔽2)—24no—
830H(5,𝔽2)—42no—
831H(5,𝔽2)—42no—
832H(5,𝔽2)—42no—
833C2×#41—21no—
834C2×#41—21no—
835C2×#41—21no—
836C2×#41—21no—
837C2×#41—22no—
838C2×#41C23×C1111yescharacteristic
839C2×#41C23×C1111yescharacteristic
840C2×#41C23×C1112yes—
841C2×#41C23×C1112yes—
842C2×#41C23×C1112yes—
843C2×#41C23×C1112yes—
844C2×#41C23×C1111yescharacteristic
845C2×#41C23×C1111yescharacteristic
846C2×#41C23×C1111yescharacteristic
847C22×Q8—21no—
848C22×Q8C23×C1111yescharacteristic
849C22×Q8C23×C1112yes—
850C22×D4—22no—
851C22×D4—22no—
852C22×D4—21no—
853C22×D4—21no—
854C22×D4—21no—
855C22×D4—22no—
856C22×D4—22no—
857C22×D4C23×C1111yescharacteristic
858C22×D4C23×C1112yes—
859C22×D4C23×C1112yes—
860C22×D4C23×C1112yes—
861C22×D4C23×C1111yescharacteristic
862C23×C4—21no—
863#137—28no—
864#137—24no—
865#137—42no—
866AGL(1,ℤ/8)—28no—
867AGL(1,ℤ/8)—28no—
868AGL(1,ℤ/8)—28no—
869AGL(1,ℤ/8)—24no—
870AGL(1,ℤ/8)—42no—
871AGL(1,ℤ/8)D4×C1118yescomplemented
872#135—24no—
873#135—24no—
874#135—28no—
875#135—28no—
876C2×Q16C23×C1111yescharacteristic
877C2×Q16C23×C1111yescharacteristic
878C2×Q16C23×C1112yes—
879C2×Q16C23×C1112yes—
880C2×SD16—24no—
881C2×SD16—28no—
882C2×SD16C23×C1111yescharacteristic
883C2×SD16C23×C1112yes—
884C2×SD16C23×C1112yes—
885C2×SD16C23×C1112yes—
886C2×SD16C23×C1111yescharacteristic
887C2×SD16C23×C1111yescharacteristic
888C2×SD16C23×C1111yescharacteristic
889C2×SD16C23×C1112yes—
890C2×SD16C23×C1112yes—
891C2×SD16C23×C1112yes—
892C2×SD16C23×C1112yes—
893C2×D8—24no—
894C2×D8—28no—
895C2×D8C23×C1112yes—
896C2×D8C23×C1112yes—
897C2×D8C23×C1111yescharacteristic
898C2×D8C23×C1112yes—
899C2×D8C23×C1111yescharacteristic
900C2×D8C23×C1112yes—
901C2×D8C23×C1112yes—
902#131—24no—
903#131—24no—
904C2×M16C23×C1112yes—
905C2×M16C23×C1112yes—
906C2×M16C23×C1111yescharacteristic
907C2×M16C23×C1111yescharacteristic
908C22×C8C23×C1111yescharacteristic
909C22×C8C23×C1112yes—
910C22×C8C23×C1111yescharacteristic
911C22×C8C23×C1112yes—
912C4⋊Q8—21no—
913C4⋊Q8D4×C1111yescharacteristic
914C4⋊Q8C23×C1111yescharacteristic
915#127—21no—
916#127D4×C1111yescharacteristic
917#127C23×C1111yescharacteristic
918#124—21no—
919#124—21no—
920#124—22no—
921#124—22no—
922#124—21no—
923#124—21no—
924#124D4×C1111yescharacteristic
925#124D4×C1111yescharacteristic
926#124C23×C1112yes—
927#124C23×C1112yes—
928#124C23×C1111yescharacteristic
929#124C23×C1111yescharacteristic
930#123—22no—
931#123—22no—
932#123—22no—
933#123—22no—
934#123—22no—
935#123—22no—
936#123—22no—
937C22⋊Q8—21no—
938C22⋊Q8—21no—
939C22⋊Q8—22no—
940C22⋊Q8—22no—
941C22⋊Q8C23×C1112yes—
942C22⋊Q8C23×C1112yes—
943C22⋊Q8C23×C1112yes—
944C22⋊Q8C23×C1112yes—
945#121—22no—
946#121—22no—
947#121—22no—
948#121—22no—
949#121—22no—
950#121—21no—
951#121—21no—
952#121—21no—
953#121—21no—
954#121—22no—
955#121—22no—
956#121—22no—
957#121—22no—
958#121—22no—
959#121D4×C1112yes—
960#121D4×C1112yes—
961#121C23×C1112yes—
962#121C23×C1112yes—
963#121C23×C1112yes—
964#121C23×C1112yes—
965#120—22no—
966#120—22no—
967#120—22no—
968#120—22no—
969#120—22no—
970#120—22no—
971#120—22no—
972C4×Q8C23×C1111yescharacteristic
973C4×Q8C23×C1111yescharacteristic
974C4×D4—21no—
975C4×D4—21no—
976C4×D4—22no—
977C4×D4—22no—
978C4×D4—21no—
979C4×D4—21no—
980C4×D4—21no—
981C4×D4—21no—
982C4×D4C23×C1112yes—
983C4×D4C23×C1112yes—
984C4×D4C23×C1111yescharacteristic
985C4×D4C23×C1111yescharacteristic
986C4×D4C23×C1112yes—
987C4×D4C23×C1112yes—
988#117—21no—
989#117C23×C1111yescharacteristic
990C2×C4⋊C4—22no—
991C2×C4⋊C4C23×C1111yescharacteristic
992C2×C22⋊C4—21no—
993C2×C22⋊C4—21no—
994C2×C22⋊C4—21no—
995C2×C22⋊C4—22no—
996C2×C22⋊C4—22no—
997C2×C22⋊C4—22no—
998C2×C22⋊C4—22no—
999C2×C42—21no—
1000C2×C42C23×C1111yescharacteristic
1001#107C23×C1112yes—
1002#106C23×C1112yes—
1003C4⋊C8C23×C1111yescharacteristic
1004C4⋊C8C23×C1111yescharacteristic
1005C4⋊C8C23×C1111yescharacteristic
1006C4⋊C8C23×C1111yescharacteristic
1007#103C23×C1112yes—
1008#103C23×C1112yes—
1009#103C23×C1111yescharacteristic
1010#103C23×C1111yescharacteristic
1011#103C23×C1111yescharacteristic
1012#103C23×C1111yescharacteristic
1013#103C23×C1112yes—
1014#102C23×C1112yes—
1015#102C23×C1112yes—
1016#102C23×C1111yescharacteristic
1017#102C23×C1111yescharacteristic
1018#102C23×C1111yescharacteristic
1019#102C23×C1111yescharacteristic
1020#102C23×C1112yes—
1021#102C23×C1112yes—
1022#102C23×C1112yes—
1023C22⋊C8C23×C1112yes—
1024C22⋊C8C23×C1112yes—
1025C22⋊C8C23×C1112yes—
1026C22⋊C8C23×C1112yes—
1027#97C23×C1112yes—
1028C4×C8C23×C1112yes—
1029C2×C11—22no—
1030C2×C11—42no—
1031C2×C11—42no—
1032C2×C11—44no—
1033C2×C11—42no—
1034C2×C11—81no—
1035C2×C11—81no—
1036C2×C11—82no—
1037C2×C11C2×D4211yescharacteristic
1038C2×C11#358411yescharacteristic
1039C2×C11#358511yescharacteristic
1040C24—21no—
1041C24—22no—
1042C24—21no—
1043C24—22no—
1044C24—22no—
1045#41—22no—
1046#41—22no—
1047#41—22no—
1048#41—22no—
1049#41—22no—
1050#41—24no—
1051#41—24no—
1052#41—24no—
1053#41—24no—
1054#41—22no—
1055#41—22no—
1056#41—22no—
1057#41—22no—
1058#41—42no—
1059#41—42no—
1060#41—42no—
1061#41—42no—
1062#41—44no—
1063#41—44no—
1064#41—48no—
1065#41—44no—
1066#41—44no—
1067#41C2×D4×C1114yescomplemented
1068C2×Q8—22no—
1069C2×Q8—21no—
1070C2×Q8—24no—
1071C2×Q8—22no—
1072C2×Q8—22no—
1073C2×Q8—42no—
1074C2×Q8—44no—
1075C2×Q8C2×D4×C1111yescharacteristic
1076C2×Q8C2×D4×C1111yescharacteristic
1077C2×Q8C24×C1112yes—
1078C2×Q8C24×C1111yescharacteristic
1079C2×Q8C24×C1111yescharacteristic
1080C2×Q8C24×C1111yescharacteristic
1081C2×D4—21no—
1082C2×D4—24no—
1083C2×D4—24no—
1084C2×D4—24no—
1085C2×D4—22no—
1086C2×D4—22no—
1087C2×D4—22no—
1088C2×D4—21no—
1089C2×D4—21no—
1090C2×D4—22no—
1091C2×D4—22no—
1092C2×D4—22no—
1093C2×D4—22no—
1094C2×D4—22no—
1095C2×D4—21no—
1096C2×D4—22no—
1097C2×D4—21no—
1098C2×D4—22no—
1099C2×D4—22no—
1100C2×D4—22no—
1101C2×D4—21no—
1102C2×D4—21no—
1103C2×D4—22no—
1104C2×D4—22no—
1105C2×D4—42no—
1106C2×D4—42no—
1107C2×D4—42no—
1108C2×D4—44no—
1109C2×D4—48no—
1110C2×D4—44no—
1111C2×D4—44no—
1112C2×D4—48no—
1113C2×D4—48no—
1114C2×D4—84no—
1115C2×D4C2×D4×C1112yes—
1116C2×D4C2×D4×C1112yes—
1117C2×D4C2×D4×C1111yescharacteristic
1118C2×D4C2×D4×C1111yescharacteristic
1119C2×D4C2×D4×C1114yes—
1120C2×D4C2×D4×C1112yes—
1121C2×D4C2×D4×C1112yes—
1122C2×D4C24×C1112yes—
1123C2×D4C24×C1111yescharacteristic
1124C2×D4C24×C1111yescharacteristic
1125C2×D4C24×C1111yescharacteristic
1126C2×D4C24×C1112yes—
1127C22×C4—21no—
1128C22×C4—21no—
1129C22×C4—22no—
1130C22×C4—21no—
1131C22×C4—22no—
1132C22×C4—22no—
1133C22×C4—22no—
1134C22×C4—22no—
1135C22×C4—21no—
1136C22×C4—21no—
1137C22×C4—22no—
1138C22×C4—21no—
1139C22×C4—21no—
1140C22×C4—22no—
1141C22×C4—82no—
1142C22×C4C2×D4×C1111yescharacteristic
1143C22×C4C2×D4×C1111yescharacteristic
1144C22×C4C24×C1112yes—
1145C22×C4C24×C1112yes—
1146C22×C4C24×C1111yescharacteristic
1147Q16—22no—
1148Q16—22no—
1149Q16—24no—
1150Q16—42no—
1151SD16—22no—
1152SD16—22no—
1153SD16—24no—
1154SD16—24no—
1155SD16—22no—
1156SD16—22no—
1157SD16—24no—
1158SD16—24no—
1159SD16—42no—
1160SD16—42no—
1161SD16C2×D4×C1118yescomplemented
1162D8—22no—
1163D8—24no—
1164D8—24no—
1165D8—22no—
1166D8—24no—
1167D8—42no—
1168D8C2×D4×C1118yescomplemented
1169M16—22no—
1170M16—24no—
1171M16—24no—
1172M16C2×D4×C1114yescomplemented
1173C2×C8—22no—
1174C2×C8—22no—
1175C2×C8—24no—
1176C2×C8—24no—
1177C2×C8C24×C1112yes—
1178C2×C8C24×C1111yescharacteristic
1179C2×C8C24×C1111yescharacteristic
1180C2×C8C24×C1111yescharacteristic
1181C2×C8C24×C1111yescharacteristic
1182C2×C8C24×C1112yes—
1183C4⋊C4—21no—
1184C4⋊C4—22no—
1185C4⋊C4—22no—
1186C4⋊C4—21no—
1187C4⋊C4—21no—
1188C4⋊C4—21no—
1189C4⋊C4—22no—
1190C4⋊C4—22no—
1191C4⋊C4—21no—
1192C4⋊C4C2×D4×C1112yes—
1193C4⋊C4C2×D4×C1112yes—
1194C4⋊C4C24×C1111yescharacteristic
1195C4⋊C4C24×C1111yescharacteristic
1196C4⋊C4C24×C1112yes—
1197C22⋊C4—22no—
1198C22⋊C4—22no—
1199C22⋊C4—22no—
1200C22⋊C4—22no—
1201C22⋊C4—21no—
1202C22⋊C4—21no—
1203C22⋊C4—21no—
1204C22⋊C4—22no—
1205C22⋊C4—22no—
1206C22⋊C4—22no—
1207C22⋊C4—22no—
1208C22⋊C4—22no—
1209C22⋊C4—22no—
1210C22⋊C4—22no—
1211C22⋊C4—22no—
1212C22⋊C4—22no—
1213C22⋊C4—22no—
1214C22⋊C4—21no—
1215C22⋊C4—21no—
1216C22⋊C4—21no—
1217C22⋊C4—21no—
1218C22⋊C4C2×D4×C1112yes—
1219C22⋊C4C2×D4×C1112yes—
1220C22⋊C4C2×D4×C1112yes—
1221C22⋊C4C2×D4×C1112yes—
1222C42—21no—
1223C42—21no—
1224C42—21no—
1225C42C2×D4×C1111yescharacteristic
1226C42C2×D4×C1111yescharacteristic
1227C42C24×C1111yescharacteristic
1228C42C24×C1111yescharacteristic
1229C11#6109211yescharacteristic, direct product factor, Sylow
1230C23—21no—
1231C23—22no—
1232C23—24no—
1233C23—22no—
1234C23—21no—
1235C23—21no—
1236C23—44no—
1237C23—44no—
1238C23—44no—
1239C23—42no—
1240C23—81no—
1241C23—81no—
1242C23—82no—
1243C23—82no—
1244C23—81no—
1245C23—81no—
1246C23—82no—
1247C23—82no—
1248C23—82no—
1249C23—82no—
1250C23C22×D4×C1112yes—
1251C23C22×D4×C1112yes—
1252C23C22×D4×C1111yescharacteristic
1253Q8—22no—
1254Q8—22no—
1255Q8—21no—
1256Q8—22no—
1257Q8—21no—
1258Q8—21no—
1259Q8—21no—
1260Q8—22no—
1261Q8—21no—
1262Q8—44no—
1263Q8—42no—
1264Q8C22×D4×C1112yes—
1265D4—24no—
1266D4—24no—
1267D4—24no—
1268D4—24no—
1269D4—22no—
1270D4—22no—
1271D4—22no—
1272D4—21no—
1273D4—21no—
1274D4—22no—
1275D4—21no—
1276D4—21no—
1277D4—22no—
1278D4—21no—
1279D4—42no—
1280D4—42no—
1281D4—44no—
1282D4—44no—
1283D4—44no—
1284D4—44no—
1285D4—42no—
1286D4—44no—
1287D4—44no—
1288D4—44no—
1289D4—42no—
1290D4—42no—
1291D4—42no—
1292D4—81no—
1293D4—82no—
1294D4—82no—
1295D4—82no—
1296D4—82no—
1297D4C22×D4×C1112yes—
1298D4C22×D4×C1114yes—
1299C2×C4—21no—
1300C2×C4—24no—
1301C2×C4—22no—
1302C2×C4—22no—
1303C2×C4—22no—
1304C2×C4—22no—
1305C2×C4—21no—
1306C2×C4—21no—
1307C2×C4—22no—
1308C2×C4—22no—
1309C2×C4—21no—
1310C2×C4—21no—
1311C2×C4—41no—
1312C2×C4—41no—
1313C2×C4—44no—
1314C2×C4—44no—
1315C2×C4—44no—
1316C2×C4—44no—
1317C2×C4—44no—
1318C2×C4—44no—
1319C2×C4—42no—
1320C2×C4—42no—
1321C2×C4—42no—
1322C2×C4—81no—
1323C2×C4—81no—
1324C2×C4—82no—
1325C2×C4—81no—
1326C2×C4C22×D4×C1111yescharacteristic
1327C2×C4C22×D4×C1111yescharacteristic
1328C2×C4C22×D4×C1111yescharacteristic
1329C2×C4C22×D4×C1111yescharacteristic
1330C2×C4C22×D4×C1112yes—
1331C2×C4C22×D4×C1112yes—
1332C2×C4C22×D4×C1111yescharacteristic
1333C2×C4C22×D4×C1112yes—
1334C2×C4C11×H(5,𝔽2)12yes—
1335C2×C4C25×C1111yescharacteristic
1336C8—21no—
1337C8—21no—
1338C8—21no—
1339C8—21no—
1340C8—22no—
1341C8C22×D4×C1114yes—
1342C22—21no—
1343C22—21no—
1344C22—22no—
1345C22—22no—
1346C22—22no—
1347C22—24no—
1348C22—22no—
1349C22—22no—
1350C22—22no—
1351C22—22no—
1352C22—41no—
1353C22—42no—
1354C22—42no—
1355C22—41no—
1356C22—42no—
1357C22—41no—
1358C22—41no—
1359C22—41no—
1360C22—41no—
1361C22—42no—
1362C22—41no—
1363C22—41no—
1364C22—42no—
1365C22—84no—
1366C22—162no—
1367C22—164no—
1368C22—164no—
1369C22—164no—
1370C22D42×C1112yes—
1371C22C23×D4×C1111yescharacteristic
1372C4—22no—
1373C4—22no—
1374C4—22no—
1375C4—21no—
1376C4—21no—
1377C4—21no—
1378C4—21no—
1379C4—41no—
1380C4—41no—
1381C4—42no—
1382C4—41no—
1383C4—42no—
1384C4—41no—
1385C4D42×C1112yes—
1386C4C23×D4×C1111yescharacteristic
1387C4C2×C11×H(5,𝔽2)11yescharacteristic
1388C2—22no—
1389C2—42no—
1390C2—42no—
1391C2—44no—
1392C2—42no—
1393C2—81no—
1394C2—81no—
1395C2—82no—
1396C2C2×D42×C1111yescharacteristic
1397C2C11×#358411yescharacteristic
1398C2C11×#358511yescharacteristic
subgroupG/H
center, socleC22×C11C23×D4
commutator, Frattini, cosocleC2×C4C25×C11
LCSG ▷ C2×C4 ▷ C2 ▷ C1
UCSC1 ◁ C22×C11 ◁ C11×#532 ◁ G

Complements

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

NH ≅ G/Ntype
1. C2×C11×#577C2semidirect
2. C2×C11×#576C2semidirect
3. C11×#3500C2semidirect
4. C11×#3496C2semidirect
5. C11×#3282C2semidirect
6. C11×#3280C2semidirect
7. C11×#3275C2semidirect
8. C11×#3273C2semidirect
9. C11×#3269C2semidirect
10. C11×#3267C2semidirect
11. C11×#3265C2semidirect
12. C11×#3264C2semidirect
13. C11×#3153C2semidirect
14. C11×#3063C2semidirect
15. C11×#3062C2semidirect
16. C11×#3035C2semidirect
17. C2×C11×#463C2semidirect
18. C11×#3013C2semidirect
19. C11×#3012C2semidirect
20. C11×#3009C2semidirect
21. C11×#3008C2semidirect
22. C4×C11×AGL(1,ℤ/8)C2semidirect
23. C11×#2935C2semidirect
24. C2×C11×2−1+4C22semidirect
26. C2×C11×H(5,𝔽2)C22semidirect
27. C2×C11×H(5,𝔽2)C22semidirect
30. C2×C11×#137C22semidirect
31. C2×C11×#137C22semidirect
32. C2×C11×#137C22semidirect
34. C2×C11×AGL(1,ℤ/8)C22semidirect
35. C2×C11×AGL(1,ℤ/8)C22semidirect
36. C2×C11×AGL(1,ℤ/8)C22semidirect
37. C2×C11×AGL(1,ℤ/8)C22semidirect
38. C2×C11×AGL(1,ℤ/8)C22semidirect
39. C2×C11×#135C22semidirect
40. C2×C11×#135C22semidirect
41. C2×C11×#135C22semidirect
42. C2×C11×#135C22semidirect
43. C22×C11×SD16C22semidirect
44. C22×C11×SD16C22semidirect
46. C22×C11×D8C22semidirect
47. C2×C11×#131C22semidirect
48. C2×C11×#131C22semidirect
49. C11×#548C22semidirect
50. C11×#548C22semidirect
52. C11×#547C22semidirect
57. C11×#546C22semidirect
58. C11×#546C22semidirect
59. C11×#546C22semidirect
60. C11×#546C22semidirect
62. D42×C11C22semidirect
64. C11×#537C22semidirect
66. C11×#536C22semidirect
68. C11×#535C22semidirect
72. C11×#532C22semidirect
74. C2×C11×#124C22semidirect
76. C4×C11×#41C22semidirect
77. C2×C4×D4×C11C22semidirect
78. C11×#497C22semidirect
79. C11×#496C22semidirect
80. C11×#495C22semidirect
81. C11×#495C22semidirect
82. C11×#470C22semidirect
83. C11×#469C22semidirect
84. C11×#468C22semidirect
85. C11×#468C22semidirect
86. C11×#467C22semidirect
87. C11×#466C22semidirect
88. C11×#465C22semidirect
89. C11×#465C22semidirect
90. C11×#464C22semidirect
91. C11×#464C22semidirect
92. C11×#463C22semidirect
93. C11×#463C22semidirect
94. C11×#463C22semidirect
95. C11×#463C22semidirect
96. C11×#463C22semidirect
97. C11×#463C22semidirect
98. C11×#462C22semidirect
99. C11×#461C22semidirect
100. C11×#460C22semidirect
101. C11×#459C22semidirect
102. C11×#452C22semidirect
103. C11×#452C22semidirect
104. C11×#452C22semidirect
105. C11×#452C22semidirect
106. C11×#451C22semidirect
107. C11×#450C22semidirect
108. C11×#450C22semidirect
109. C11×#450C22semidirect
110. C11×#449C22semidirect
111. C11×#449C22semidirect
112. C11×#449C22semidirect
113. C11×#449C22semidirect
114. C11×#448C22semidirect
115. C11×#447C22semidirect
116. C11×#447C22semidirect
117. C11×#447C22semidirect
118. C11×#442C22semidirect
119. C11×#440C22semidirect
120. C4×C11×SD16C22semidirect
121. C4×C11×D8C22semidirect
122. C11×#436C22semidirect
123. C11×#435C22semidirect
124. C11×#435C22semidirect
125. C8×D4×C11C22semidirect
126. C11×#428C22semidirect
127. C2×C11×C4⋊C8C22semidirect
128. C11×#418C22semidirect
129. C11×#417C22semidirect
130. C11×#416C22semidirect
131. C11×#416C22semidirect
132. C2×C11×#103C22semidirect
133. C2×C11×#102C22semidirect
134. C11×#408C22semidirect
135. C11×#408C22semidirect
136. C4×C11×M16C22semidirect
183. C11×AGL(1,ℤ/8)D4semidirect
341. #61092C11direct (N × H)
369. C11×#41C2×D4semidirect
463. C11×SD16C2×D4semidirect
470. C11×D8C2×D4semidirect
474. C11×M16C2×D4semidirect
531. C2×#577C2×C11semidirect
532. C2×#576C2×C11semidirect
533. #3500C2×C11semidirect
534. #3496C2×C11semidirect
535. #3282C2×C11semidirect
536. #3280C2×C11semidirect
537. #3275C2×C11semidirect
538. #3273C2×C11semidirect
539. #3269C2×C11semidirect
540. #3267C2×C11semidirect
541. #3265C2×C11semidirect
542. #3264C2×C11semidirect
543. #3153C2×C11semidirect
544. #3063C2×C11semidirect
545. #3062C2×C11semidirect
546. #3035C2×C11semidirect
547. C2×#463C2×C11semidirect
548. #3013C2×C11semidirect
549. #3012C2×C11semidirect
550. #3009C2×C11semidirect
551. #3008C2×C11semidirect
552. C4×AGL(1,ℤ/8)C2×C11semidirect
553. #2935C2×C11semidirect
666. C2×2−1+4C22×C11semidirect
668. C2×H(5,𝔽2)C22×C11semidirect
669. C2×H(5,𝔽2)C22×C11semidirect
672. C2×#137C22×C11semidirect
673. C2×#137C22×C11semidirect
674. C2×#137C22×C11semidirect
676. C2×AGL(1,ℤ/8)C22×C11semidirect
677. C2×AGL(1,ℤ/8)C22×C11semidirect
678. C2×AGL(1,ℤ/8)C22×C11semidirect
679. C2×AGL(1,ℤ/8)C22×C11semidirect
680. C2×AGL(1,ℤ/8)C22×C11semidirect
681. C2×#135C22×C11semidirect
682. C2×#135C22×C11semidirect
683. C2×#135C22×C11semidirect
684. C2×#135C22×C11semidirect
685. C22×SD16C22×C11semidirect
686. C22×SD16C22×C11semidirect
688. C22×D8C22×C11semidirect
689. C2×#131C22×C11semidirect
690. C2×#131C22×C11semidirect
691. #548C22×C11semidirect
692. #548C22×C11semidirect
694. #547C22×C11semidirect
699. #546C22×C11semidirect
700. #546C22×C11semidirect
701. #546C22×C11semidirect
702. #546C22×C11semidirect
704. D42C22×C11semidirect
706. #537C22×C11semidirect
708. #536C22×C11semidirect
710. #535C22×C11semidirect
714. #532C22×C11semidirect
716. C2×#124C22×C11semidirect
718. C4×#41C22×C11semidirect
719. C2×C4×D4C22×C11semidirect
720. #497C22×C11semidirect
721. #496C22×C11semidirect
722. #495C22×C11semidirect
723. #495C22×C11semidirect
724. #470C22×C11semidirect
725. #469C22×C11semidirect
726. #468C22×C11semidirect
727. #468C22×C11semidirect
728. #467C22×C11semidirect
729. #466C22×C11semidirect
730. #465C22×C11semidirect
731. #465C22×C11semidirect
732. #464C22×C11semidirect
733. #464C22×C11semidirect
734. #463C22×C11semidirect
735. #463C22×C11semidirect
736. #463C22×C11semidirect
737. #463C22×C11semidirect
738. #463C22×C11semidirect
739. #463C22×C11semidirect
740. #462C22×C11semidirect
741. #461C22×C11semidirect
742. #460C22×C11semidirect
743. #459C22×C11semidirect
744. #452C22×C11semidirect
745. #452C22×C11semidirect
746. #452C22×C11semidirect
747. #452C22×C11semidirect
748. #451C22×C11semidirect
749. #450C22×C11semidirect
750. #450C22×C11semidirect
751. #450C22×C11semidirect
752. #449C22×C11semidirect
753. #449C22×C11semidirect
754. #449C22×C11semidirect
755. #449C22×C11semidirect
756. #448C22×C11semidirect
757. #447C22×C11semidirect
758. #447C22×C11semidirect
759. #447C22×C11semidirect
760. #442C22×C11semidirect
761. #440C22×C11semidirect
762. C4×SD16C22×C11semidirect
763. C4×D8C22×C11semidirect
764. #436C22×C11semidirect
765. #435C22×C11semidirect
766. #435C22×C11semidirect
767. C8×D4C22×C11semidirect
768. #428C22×C11semidirect
769. C2×C4⋊C8C22×C11semidirect
770. #418C22×C11semidirect
771. #417C22×C11semidirect
772. #416C22×C11semidirect
773. #416C22×C11semidirect
774. C2×#103C22×C11semidirect
775. C2×#102C22×C11semidirect
776. #408C22×C11semidirect
777. #408C22×C11semidirect
778. C4×M16C22×C11semidirect
871. AGL(1,ℤ/8)D4×C11semidirect
1067. #41C2×D4×C11semidirect
1161. SD16C2×D4×C11semidirect
1168. D8C2×D4×C11semidirect
1172. M16C2×D4×C11semidirect
1229. C11#61092direct (N × H)

Maximal subgroups

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

subgroupindex
C2×C11×#5772
C2×C11×#5762
C11×#35002
C11×#34962
C11×#32822
C11×#32802
C11×#32752
C11×#32732
C11×#32692
C11×#32672
C11×#32652
C11×#32642
C11×#31532
C11×#30632
C11×#30622
C11×#30352
C2×C11×#4632
C11×#30132
C11×#30122
C11×#30092
C11×#30082
C4×C11×AGL(1,ℤ/8)2
C11×#29352
#6109211