Finite Group Databasebeta

← C11×#14519 #14591712

Subgroups — C11×#14519 #14591712

Order 2816.

2390 conjugacy classes of subgroups.

The subgroup lattice has 1342 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C11×#392C211yesmaximal, characteristic
2C2×C11×#390C211yesmaximal, characteristic, complemented
3C2×C11×#386C211yesmaximal, characteristic, complemented
4C2×C11×#386C211yesmaximal, characteristic, complemented
5C2×C11×#386C211yesmaximal, characteristic, complemented
6C2×C11×#386C211yesmaximal, characteristic, complemented
7C2×C11×#385C211yesmaximal, characteristic, complemented
8C11×#1442C211yesmaximal, characteristic, complemented
9C11×#1440C211yesmaximal, characteristic, complemented
10C11×#1439C211yesmaximal, characteristic, complemented
11C11×#1439C211yesmaximal, characteristic, complemented
12C11×#1438C211yesmaximal, characteristic, complemented
13C11×#1437C211yesmaximal, characteristic, complemented
14C11×#1434C211yesmaximal, characteristic, complemented
15C11×C22⋊#95C211yesmaximal, characteristic, complemented
16C23×D4×C11C2211yescharacteristic
17C23×D4×C11C2211yescharacteristic
18C23×D4×C11C2211yescharacteristic
19C24×C4×C11C2211yescharacteristic
20C24×C4×C11C2211yescharacteristic
21C22×C11×C4⋊C4C2211yescharacteristic
22C22×C11×C4⋊C4C2211yescharacteristic
23C22×C11×C22⋊C4C2211yescharacteristic
24C22×C11×C22⋊C4C2211yescharacteristic
25C22×C11×C22⋊C4C2211yescharacteristic
26C22×C11×C22⋊C4C2211yescharacteristic
27C22×C11×C22⋊C4C2211yescharacteristic
28C22×C11×C22⋊C4C2211yescharacteristic
29C22×C11×C22⋊C4C2211yescharacteristic
30C22×C11×C22⋊C4C2211yescharacteristic
31C22×C11×C22⋊C4C2211yescharacteristic
32C22×C11×C22⋊C4C2211yescharacteristic
33C22×C11×C22⋊C4C2211yescharacteristic
34C22×C11×C22⋊C4C2211yescharacteristic
35C22×C11×C22⋊C4C2211yescharacteristic
36C22×C42×C11C2211yescharacteristic
37C11×#392C418yescomplemented
38C11×#390—24no—
39C11×#386—24no—
40C11×#386—24no—
41C11×#386—24no—
42C11×#386—24no—
43C11×#385—24no—
44C2×C11×#95C2211yescharacteristic
45C2×C11×#95C2211yescharacteristic
46C2×C11×#95C2211yescharacteristic
47C2×C11×#95C2211yescharacteristic
48C2×C11×#95C2211yescharacteristic
49C2×C11×#95C2211yescharacteristic
50C2×C11×#95C2211yescharacteristic
51C2×C11×#95C2211yescharacteristic
52C2×C11×#95C2211yescharacteristic
53C2×C11×#95C2211yescharacteristic
54C2×C11×#95C2211yescharacteristic
55C2×C11×#95C2211yescharacteristic
56C2×C11×#95C2211yescharacteristic
57C2×C11×#95C2211yescharacteristic
58C25×C11C2311yescharacteristic
59C25×C11C2311yescharacteristic
60C25×C11C2311yescharacteristic
61C22×D4×C11—22no—
62C22×D4×C11—22no—
63C22×D4×C11—22no—
64C22×D4×C11—22no—
65C22×D4×C11—22no—
66C22×D4×C11—22no—
67C22×D4×C11—22no—
68C22×D4×C11—22no—
69C22×D4×C11—22no—
70C22×D4×C11—22no—
71C22×D4×C11—41no—
72C22×D4×C11—41no—
73C22×D4×C11—41no—
74C22×D4×C11—41no—
75C22×D4×C11—41no—
76C22×D4×C11—41no—
77C22×D4×C11—41no—
78C22×D4×C11—41no—
79C22×D4×C11C2×C414yes—
80C22×D4×C11C2×C414yescomplemented
81C22×D4×C11C2×C414yescomplemented
82C23×C4×C11—22no—
83C23×C4×C11—22no—
84C23×C4×C11—22no—
85C23×C4×C11—22no—
86C23×C4×C11—22no—
87C23×C4×C11—22no—
88C23×C4×C11—41no—
89C23×C4×C11—41no—
90C23×C4×C11—41no—
91C23×C4×C11—41no—
92C23×C4×C11—41no—
93C23×C4×C11—41no—
94C23×C4×C11—41no—
95C23×C4×C11—41no—
96C23×C4×C11C2311yescharacteristic
97C23×C4×C11C2311yescharacteristic
98C23×C4×C11C2311yescharacteristic
99C23×C4×C11C2311yescharacteristic
100C23×C4×C11C2311yescharacteristic
101C23×C4×C11C2311yescharacteristic
102C23×C4×C11C2311yescharacteristic
103C23×C4×C11C2311yescharacteristic
104C23×C4×C11C2311yescharacteristic
105C23×C4×C11C2311yescharacteristic
106C23×C4×C11C2311yescharacteristic
107C23×C4×C11C2311yescharacteristic
108C2×C11×C4⋊C4—22no—
109C2×C11×C4⋊C4—22no—
110C2×C11×C4⋊C4—22no—
111C2×C11×C4⋊C4—41no—
112C2×C11×C4⋊C4—41no—
113C2×C11×C4⋊C4—41no—
114C2×C11×C22⋊C4—22no—
115C2×C11×C22⋊C4—22no—
116C2×C11×C22⋊C4—22no—
117C2×C11×C22⋊C4—22no—
118C2×C11×C22⋊C4—22no—
119C2×C11×C22⋊C4—22no—
120C2×C11×C22⋊C4—22no—
121C2×C11×C22⋊C4—22no—
122C2×C11×C22⋊C4—22no—
123C2×C11×C22⋊C4—22no—
124C2×C11×C22⋊C4—22no—
125C2×C11×C22⋊C4—22no—
126C2×C11×C22⋊C4—22no—
127C2×C11×C22⋊C4—22no—
128C2×C11×C22⋊C4—22no—
129C2×C11×C22⋊C4—22no—
130C2×C11×C22⋊C4—41no—
131C2×C11×C22⋊C4—41no—
132C2×C11×C22⋊C4—41no—
133C2×C11×C22⋊C4—41no—
134C2×C11×C22⋊C4—41no—
135C2×C11×C22⋊C4—41no—
136C2×C11×C22⋊C4—41no—
137C2×C11×C22⋊C4—41no—
138C2×C11×C22⋊C4—41no—
139C2×C11×C22⋊C4—41no—
140C2×C11×C22⋊C4—41no—
141C2×C11×C22⋊C4—41no—
142C2×C11×C22⋊C4—41no—
143C2×C11×C22⋊C4—41no—
144C2×C11×C22⋊C4—41no—
145C2×C11×C22⋊C4—41no—
146C2×C11×C22⋊C4—41no—
147C2×C11×C22⋊C4—41no—
148C2×C11×C22⋊C4C2×C414yescomplemented
149C2×C11×C22⋊C4C2×C414yescomplemented
150C2×C11×C22⋊C4C2×C414yescomplemented
151C2×C11×C22⋊C4D414yescomplemented
152C2×C11×C22⋊C4D414yescomplemented
153C2×C42×C11—22no—
154C2×C42×C11—22no—
155C2×C42×C11—41no—
156C11×#95—22no—
157C11×#95—22no—
158C11×#95—22no—
159C11×#95—22no—
160C11×#95—22no—
161C11×#95—22no—
162C11×#95—22no—
163C11×#95—22no—
164C11×#95—41no—
165C11×#95—41no—
166C11×#95—41no—
167C11×#95—41no—
168C11×#95C2×C414yescomplemented
169C11×#95D414yescomplemented
170#14519C1111yesmaximal, characteristic, direct product factor, Sylow
171C24×C11—21no—
172C24×C11—21no—
173C24×C11—21no—
174C24×C11—21no—
175C24×C11—21no—
176C24×C11—21no—
177C24×C11—21no—
178C24×C11—21no—
179C24×C11—21no—
180C24×C11—21no—
181C24×C11—21no—
182C24×C11—21no—
183C24×C11—21no—
184C24×C11—21no—
185C24×C11—21no—
186C24×C11—21no—
187C24×C11—21no—
188C24×C11—21no—
189C24×C11—21no—
190C24×C11—21no—
191C24×C11—21no—
192C24×C11—21no—
193C24×C11—21no—
194C24×C11—21no—
195C24×C11—21no—
196C24×C11—21no—
197C24×C11—21no—
198C24×C11—21no—
199C24×C11—21no—
200C24×C11—21no—
201C24×C11—21no—
202C24×C11—21no—
203C24×C11—21no—
204C24×C11—21no—
205C24×C11—21no—
206C24×C11—21no—
207C24×C11—21no—
208C24×C11—21no—
209C24×C11C22×C412yes—
210C24×C11C22×C412yes—
211C24×C11C22×C412yes—
212C24×C11C2×D412yes—
213C24×C11C2×D412yes—
214C24×C11#4112yes—
215C24×C11#4112yes—
216C24×C11C2411yescharacteristic
217C2×D4×C11—28no—
218C2×D4×C11—28no—
219C2×D4×C11—28no—
220C2×D4×C11—28no—
221C2×D4×C11—28no—
222C2×D4×C11—44no—
223C2×D4×C11—44no—
224C2×D4×C11—44no—
225C2×D4×C11—44no—
226C2×D4×C11—44no—
227C2×D4×C11—44no—
228C2×D4×C11—44no—
229C2×D4×C11—44no—
230C2×D4×C11—44no—
231C2×D4×C11—44no—
232C2×D4×C11—44no—
233C2×D4×C11—44no—
234C2×D4×C11—44no—
235C2×D4×C11—44no—
236C2×D4×C11—44no—
237C2×D4×C11—44no—
238C22×C4×C11—21no—
239C22×C4×C11—21no—
240C22×C4×C11—21no—
241C22×C4×C11—21no—
242C22×C4×C11—21no—
243C22×C4×C11—21no—
244C22×C4×C11—21no—
245C22×C4×C11—21no—
246C22×C4×C11—21no—
247C22×C4×C11—21no—
248C22×C4×C11—21no—
249C22×C4×C11—21no—
250C22×C4×C11—21no—
251C22×C4×C11—21no—
252C22×C4×C11—21no—
253C22×C4×C11—21no—
254C22×C4×C11—21no—
255C22×C4×C11—21no—
256C22×C4×C11—21no—
257C22×C4×C11—21no—
258C22×C4×C11—21no—
259C22×C4×C11—21no—
260C22×C4×C11—21no—
261C22×C4×C11—21no—
262C22×C4×C11—21no—
263C22×C4×C11—21no—
264C22×C4×C11—21no—
265C22×C4×C11—21no—
266C22×C4×C11—21no—
267C22×C4×C11—21no—
268C22×C4×C11—21no—
269C22×C4×C11—21no—
270C22×C4×C11—21no—
271C22×C4×C11—21no—
272C22×C4×C11—21no—
273C22×C4×C11—21no—
274C22×C4×C11—21no—
275C22×C4×C11—21no—
276C22×C4×C11—21no—
277C22×C4×C11—21no—
278C22×C4×C11—21no—
279C22×C4×C11—21no—
280C22×C4×C11—21no—
281C22×C4×C11—21no—
282C22×C4×C11—21no—
283C22×C4×C11—21no—
284C22×C4×C11—21no—
285C22×C4×C11—21no—
286C22×C4×C11—21no—
287C22×C4×C11—21no—
288C22×C4×C11—21no—
289C22×C4×C11—21no—
290C22×C4×C11—21no—
291C22×C4×C11—21no—
292C22×C4×C11—21no—
293C22×C4×C11—21no—
294C22×C4×C11—21no—
295C22×C4×C11—21no—
296C22×C4×C11—21no—
297C22×C4×C11—21no—
298C22×C4×C11—21no—
299C22×C4×C11—21no—
300C22×C4×C11—21no—
301C22×C4×C11—21no—
302C22×C4×C11—21no—
303C22×C4×C11—21no—
304C22×C4×C11—21no—
305C22×C4×C11—21no—
306C22×C4×C11—21no—
307C22×C4×C11—21no—
308C22×C4×C11—21no—
309C22×C4×C11—21no—
310C22×C4×C11—44no—
311C22×C4×C11—44no—
312C22×C4×C11—44no—
313C22×C4×C11—44no—
314C22×C4×C11—44no—
315C22×C4×C11—44no—
316C22×C4×C11—44no—
317C22×C4×C11—44no—
318C22×C4×C11—44no—
319C22×C4×C11—44no—
320C22×C4×C11—44no—
321C22×C4×C11—44no—
322C22×C4×C11—44no—
323C22×C4×C11—44no—
324C22×C4×C11C22×C412yes—
325C22×C4×C11C22×C412yes—
326C22×C4×C11C22×C412yes—
327C22×C4×C11C22×C412yes—
328C22×C4×C11C2×D412yes—
329C22×C4×C11C2×D412yes—
330C22×C4×C11C2×D412yes—
331C22×C4×C11C2×D412yes—
332C22×C4×C11C2×D412yes—
333C22×C4×C11C2×D412yes—
334C22×C4×C11C2×D412yes—
335C22×C4×C11#4112yes—
336C11×C4⋊C4—44no—
337C11×C4⋊C4—44no—
338C11×C22⋊C4—28no—
339C11×C22⋊C4—44no—
340C11×C22⋊C4—44no—
341C11×C22⋊C4—44no—
342C11×C22⋊C4—44no—
343C11×C22⋊C4—44no—
344C11×C22⋊C4—44no—
345C11×C22⋊C4—44no—
346C11×C22⋊C4—44no—
347C11×C22⋊C4—44no—
348C11×C22⋊C4—44no—
349C11×C22⋊C4—44no—
350C11×C22⋊C4—44no—
351C42×C11—44no—
352C2×#392C2×C1111yescharacteristic
353C2×#390C2×C1111yescharacteristic, complemented
354C2×#386C2×C1111yescharacteristic, complemented
355C2×#386C2×C1111yescharacteristic, complemented
356C2×#386C2×C1111yescharacteristic, complemented
357C2×#386C2×C1111yescharacteristic, complemented
358C2×#385C2×C1111yescharacteristic, complemented
359#1442C2×C1111yescharacteristic, complemented
360#1440C2×C1111yescharacteristic, complemented
361#1439C2×C1111yescharacteristic, complemented
362#1439C2×C1111yescharacteristic, complemented
363#1438C2×C1111yescharacteristic, complemented
364#1437C2×C1111yescharacteristic, complemented
365#1434C2×C1111yescharacteristic, complemented
366C22⋊#95C2×C1111yescharacteristic, complemented
367C23×C11—22no—
368C23×C11—22no—
369C23×C11—22no—
370C23×C11—22no—
371C23×C11—22no—
372C23×C11—22no—
373C23×C11—22no—
374C23×C11—22no—
375C23×C11—22no—
376C23×C11—22no—
377C23×C11—22no—
378C23×C11—22no—
379C23×C11—22no—
380C23×C11—22no—
381C23×C11—22no—
382C23×C11—22no—
383C23×C11—22no—
384C23×C11—22no—
385C23×C11—22no—
386C23×C11—22no—
387C23×C11—22no—
388C23×C11—22no—
389C23×C11—22no—
390C23×C11—22no—
391C23×C11—22no—
392C23×C11—22no—
393C23×C11—22no—
394C23×C11—22no—
395C23×C11—22no—
396C23×C11—22no—
397C23×C11—22no—
398C23×C11—22no—
399C23×C11—22no—
400C23×C11—22no—
401C23×C11—22no—
402C23×C11—22no—
403C23×C11—22no—
404C23×C11—22no—
405C23×C11—22no—
406C23×C11—22no—
407C23×C11—22no—
408C23×C11—22no—
409C23×C11—22no—
410C23×C11—41no—
411C23×C11—41no—
412C23×C11—41no—
413C23×C11—41no—
414C23×C11—41no—
415C23×C11—41no—
416C23×C11—41no—
417C23×C11—41no—
418C23×C11—41no—
419C23×C11—41no—
420C23×C11—41no—
421C23×C11—41no—
422C23×C11—41no—
423C23×C11—41no—
424C23×C11—41no—
425C23×C11—41no—
426C23×C11—41no—
427C23×C11—41no—
428C23×C11—41no—
429C23×C11—41no—
430C23×C11—41no—
431C23×C11—41no—
432C23×C11—41no—
433C23×C11—41no—
434C23×C11—41no—
435C23×C11—41no—
436C23×C11—41no—
437C23×C11—41no—
438C23×C11—41no—
439C23×C11—41no—
440C23×C11—41no—
441C23×C11—41no—
442C23×C11—41no—
443C23×C11—41no—
444C23×C11—41no—
445C23×C11—41no—
446C23×C11—41no—
447C23×C11—41no—
448C23×C11—41no—
449C23×C11—41no—
450C23×C11—41no—
451C23×C11—41no—
452C23×C11—41no—
453C23×C11—41no—
454C23×C11—41no—
455C23×C11—41no—
456C23×C11—41no—
457C23×C11—41no—
458C23×C11—41no—
459C23×C11—41no—
460C23×C11—41no—
461C23×C11—41no—
462C23×C11—41no—
463C23×C11—41no—
464C23×C11—41no—
465C23×C11—41no—
466C23×C11—41no—
467C23×C11—41no—
468C23×C11—41no—
469C23×C11—41no—
470C23×C11C4×D414yes—
471C23×C11C4×D414yes—
472C23×C11C23×C411yescharacteristic
473C23×C11C22×D411yescharacteristic
474C23×C11C22×D411yescharacteristic
475C23×C11C22×D411yescharacteristic
476C23×C11C2×#4111yescharacteristic
477C23×C11C2×#4111yescharacteristic
478C23×C11C2×#4111yescharacteristic
479C23×C11H(5,𝔽2)11yescharacteristic
480C23×C11H(5,𝔽2)11yescharacteristic
481C23×C11H(5,𝔽2)11yescharacteristic
482C23×C11H(5,𝔽2)11yescharacteristic
483C23×C11H(5,𝔽2)11yescharacteristic
484C23×C11H(5,𝔽2)11yescharacteristic
485C23×C11H(5,𝔽2)11yescharacteristic
486C23×C112−1+411yescharacteristic
487D4×C11—416no—
488D4×C11—416no—
489D4×C11—416no—
490C2×C4×C11—22no—
491C2×C4×C11—22no—
492C2×C4×C11—22no—
493C2×C4×C11—22no—
494C2×C4×C11—22no—
495C2×C4×C11—22no—
496C2×C4×C11—22no—
497C2×C4×C11—22no—
498C2×C4×C11—22no—
499C2×C4×C11—22no—
500C2×C4×C11—22no—
501C2×C4×C11—22no—
502C2×C4×C11—22no—
503C2×C4×C11—22no—
504C2×C4×C11—22no—
505C2×C4×C11—22no—
506C2×C4×C11—22no—
507C2×C4×C11—22no—
508C2×C4×C11—22no—
509C2×C4×C11—22no—
510C2×C4×C11—22no—
511C2×C4×C11—22no—
512C2×C4×C11—22no—
513C2×C4×C11—22no—
514C2×C4×C11—22no—
515C2×C4×C11—22no—
516C2×C4×C11—22no—
517C2×C4×C11—22no—
518C2×C4×C11—22no—
519C2×C4×C11—22no—
520C2×C4×C11—22no—
521C2×C4×C11—22no—
522C2×C4×C11—22no—
523C2×C4×C11—416no—
524C2×C4×C11—416no—
525C2×C4×C11—41no—
526C2×C4×C11—41no—
527C2×C4×C11—41no—
528C2×C4×C11—41no—
529C2×C4×C11—41no—
530C2×C4×C11—41no—
531C2×C4×C11—41no—
532C2×C4×C11—41no—
533C2×C4×C11—41no—
534C2×C4×C11—41no—
535C2×C4×C11—41no—
536C2×C4×C11—41no—
537C2×C4×C11—41no—
538C2×C4×C11—41no—
539C2×C4×C11—41no—
540C2×C4×C11—41no—
541C2×C4×C11—41no—
542C2×C4×C11—41no—
543C2×C4×C11—41no—
544C2×C4×C11—41no—
545C2×C4×C11—41no—
546C2×C4×C11—41no—
547C2×C4×C11—41no—
548C2×C4×C11—41no—
549C2×C4×C11—41no—
550C2×C4×C11—41no—
551C2×C4×C11—41no—
552C2×C4×C11—41no—
553C2×C4×C11—41no—
554C2×C4×C11—41no—
555C2×C4×C11—41no—
556C2×C4×C11—41no—
557C2×C4×C11—41no—
558C2×C4×C11—41no—
559C2×C4×C11—41no—
560C2×C4×C11—41no—
561C2×C4×C11—41no—
562C2×C4×C11—41no—
563C2×C4×C11—41no—
564C2×C4×C11—41no—
565C2×C4×C11—41no—
566C2×C4×C11—41no—
567C2×C4×C11—41no—
568C2×C4×C11—41no—
569C2×C4×C11—41no—
570C2×C4×C11—41no—
571C2×C4×C11—41no—
572C2×C4×C11—41no—
573C2×C4×C11—41no—
574C2×C4×C11—41no—
575C2×C4×C11C4×D414yes—
576C23×D4C22×C1111yescharacteristic
577C23×D4C22×C1111yescharacteristic
578C23×D4C22×C1111yescharacteristic
579C24×C4C22×C1111yescharacteristic
580C24×C4C22×C1111yescharacteristic
581C22×C4⋊C4C22×C1111yescharacteristic
582C22×C4⋊C4C22×C1111yescharacteristic
583C22×C22⋊C4C22×C1111yescharacteristic
584C22×C22⋊C4C22×C1111yescharacteristic
585C22×C22⋊C4C22×C1111yescharacteristic
586C22×C22⋊C4C22×C1111yescharacteristic
587C22×C22⋊C4C22×C1111yescharacteristic
588C22×C22⋊C4C22×C1111yescharacteristic
589C22×C22⋊C4C22×C1111yescharacteristic
590C22×C22⋊C4C22×C1111yescharacteristic
591C22×C22⋊C4C22×C1111yescharacteristic
592C22×C22⋊C4C22×C1111yescharacteristic
593C22×C22⋊C4C22×C1111yescharacteristic
594C22×C22⋊C4C22×C1111yescharacteristic
595C22×C22⋊C4C22×C1111yescharacteristic
596C22×C42C22×C1111yescharacteristic
597#392C4×C1118yescomplemented
598#390—24no—
599#386—24no—
600#386—24no—
601#386—24no—
602#386—24no—
603#385—24no—
604C2×#95C22×C1111yescharacteristic
605C2×#95C22×C1111yescharacteristic
606C2×#95C22×C1111yescharacteristic
607C2×#95C22×C1111yescharacteristic
608C2×#95C22×C1111yescharacteristic
609C2×#95C22×C1111yescharacteristic
610C2×#95C22×C1111yescharacteristic
611C2×#95C22×C1111yescharacteristic
612C2×#95C22×C1111yescharacteristic
613C2×#95C22×C1111yescharacteristic
614C2×#95C22×C1111yescharacteristic
615C2×#95C22×C1111yescharacteristic
616C2×#95C22×C1111yescharacteristic
617C2×#95C22×C1111yescharacteristic
618C22×C11—24no—
619C22×C11—24no—
620C22×C11—24no—
621C22×C11—24no—
622C22×C11—24no—
623C22×C11—24no—
624C22×C11—42no—
625C22×C11—42no—
626C22×C11—42no—
627C22×C11—42no—
628C22×C11—42no—
629C22×C11—42no—
630C22×C11—42no—
631C22×C11—42no—
632C22×C11—42no—
633C22×C11—42no—
634C22×C11—42no—
635C22×C11—42no—
636C22×C11—42no—
637C22×C11—42no—
638C22×C11—42no—
639C22×C11—42no—
640C22×C11—42no—
641C22×C11—42no—
642C22×C11—42no—
643C22×C11—42no—
644C22×C11—42no—
645C22×C11—42no—
646C22×C11—42no—
647C22×C11—42no—
648C22×C11—42no—
649C22×C11—42no—
650C22×C11—42no—
651C22×C11—42no—
652C22×C11—42no—
653C22×C11—42no—
654C22×C11—42no—
655C22×C11—81no—
656C22×C11—81no—
657C22×C11—81no—
658C22×C11—81no—
659C22×C11—81no—
660C22×C11—81no—
661C22×C11—81no—
662C22×C11—81no—
663C22×C11C2×C4×D411yescharacteristic
664C22×C11C2×C4×D411yescharacteristic
665C22×C11C2×C4×D411yescharacteristic
666C22×C11#51811yescharacteristic
667C22×C11#51811yescharacteristic
668C22×C11#51811yescharacteristic
669C22×C11#52011yescharacteristic
670C22×C11#53411yescharacteristic
671C22×C11#53411yescharacteristic
672C22×C11#53511yescharacteristic
673C22×C11#53511yescharacteristic
674C22×C11#53511yescharacteristic
675C22×C11#53711yescharacteristic
676C22×C11#53811yescharacteristic
677C22×C11#53811yescharacteristic
678C22×C11#53811yescharacteristic
679C22×C11#53911yescharacteristic
680C22×C11#54011yescharacteristic
681C22×C11#54011yescharacteristic
682C22×C11D4211yescharacteristic
683C22×C11D4211yescharacteristic
684C22×C11D4211yescharacteristic
685C22×C11#54611yescharacteristic
686C22×C11#54611yescharacteristic
687C22×C11#54611yescharacteristic
688C22×C11#54611yescharacteristic
689C22×C11#54711yescharacteristic
690C22×C11#54811yescharacteristic
691C22×C11#55111yescharacteristic
692C22×C11#55111yescharacteristic
693C22×C11#55311yescharacteristic
694C22×C11#56011yescharacteristic
695C22×C11#56011yescharacteristic
696C22×C11#56211yescharacteristic
697C22×C11#56211yescharacteristic
698C4×C11—24no—
699C4×C11—42no—
700C4×C11—42no—
701C4×C11—42no—
702C4×C11—42no—
703C4×C11—42no—
704C4×C11—42no—
705C4×C11—42no—
706C4×C11—42no—
707C4×C11—42no—
708C4×C11—81no—
709C4×C11—81no—
710C25C23×C1111yescharacteristic
711C25C23×C1111yescharacteristic
712C25C23×C1111yescharacteristic
713C22×D4—22no—
714C22×D4—22no—
715C22×D4—22no—
716C22×D4—22no—
717C22×D4—22no—
718C22×D4—22no—
719C22×D4—22no—
720C22×D4—22no—
721C22×D4—22no—
722C22×D4—22no—
723C22×D4—41no—
724C22×D4—41no—
725C22×D4—41no—
726C22×D4—41no—
727C22×D4—41no—
728C22×D4—41no—
729C22×D4—41no—
730C22×D4—41no—
731C22×D4C2×C4×C1114yes—
732C22×D4C2×C4×C1114yescomplemented
733C22×D4C2×C4×C1114yescomplemented
734C23×C4—22no—
735C23×C4—22no—
736C23×C4—22no—
737C23×C4—22no—
738C23×C4—22no—
739C23×C4—22no—
740C23×C4—41no—
741C23×C4—41no—
742C23×C4—41no—
743C23×C4—41no—
744C23×C4—41no—
745C23×C4—41no—
746C23×C4—41no—
747C23×C4—41no—
748C23×C4C23×C1111yescharacteristic
749C23×C4C23×C1111yescharacteristic
750C23×C4C23×C1111yescharacteristic
751C23×C4C23×C1111yescharacteristic
752C23×C4C23×C1111yescharacteristic
753C23×C4C23×C1111yescharacteristic
754C23×C4C23×C1111yescharacteristic
755C23×C4C23×C1111yescharacteristic
756C23×C4C23×C1111yescharacteristic
757C23×C4C23×C1111yescharacteristic
758C23×C4C23×C1111yescharacteristic
759C23×C4C23×C1111yescharacteristic
760C2×C4⋊C4—22no—
761C2×C4⋊C4—22no—
762C2×C4⋊C4—22no—
763C2×C4⋊C4—41no—
764C2×C4⋊C4—41no—
765C2×C4⋊C4—41no—
766C2×C22⋊C4—22no—
767C2×C22⋊C4—22no—
768C2×C22⋊C4—22no—
769C2×C22⋊C4—22no—
770C2×C22⋊C4—22no—
771C2×C22⋊C4—22no—
772C2×C22⋊C4—22no—
773C2×C22⋊C4—22no—
774C2×C22⋊C4—22no—
775C2×C22⋊C4—22no—
776C2×C22⋊C4—22no—
777C2×C22⋊C4—22no—
778C2×C22⋊C4—22no—
779C2×C22⋊C4—22no—
780C2×C22⋊C4—22no—
781C2×C22⋊C4—22no—
782C2×C22⋊C4—41no—
783C2×C22⋊C4—41no—
784C2×C22⋊C4—41no—
785C2×C22⋊C4—41no—
786C2×C22⋊C4—41no—
787C2×C22⋊C4—41no—
788C2×C22⋊C4—41no—
789C2×C22⋊C4—41no—
790C2×C22⋊C4—41no—
791C2×C22⋊C4—41no—
792C2×C22⋊C4—41no—
793C2×C22⋊C4—41no—
794C2×C22⋊C4—41no—
795C2×C22⋊C4—41no—
796C2×C22⋊C4—41no—
797C2×C22⋊C4—41no—
798C2×C22⋊C4—41no—
799C2×C22⋊C4—41no—
800C2×C22⋊C4C2×C4×C1114yescomplemented
801C2×C22⋊C4C2×C4×C1114yescomplemented
802C2×C22⋊C4C2×C4×C1114yescomplemented
803C2×C22⋊C4D4×C1114yescomplemented
804C2×C22⋊C4D4×C1114yescomplemented
805C2×C42—22no—
806C2×C42—22no—
807C2×C42—41no—
808#95—22no—
809#95—22no—
810#95—22no—
811#95—22no—
812#95—22no—
813#95—22no—
814#95—22no—
815#95—22no—
816#95—41no—
817#95—41no—
818#95—41no—
819#95—41no—
820#95C2×C4×C1114yescomplemented
821#95D4×C1114yescomplemented
822C2×C11—44no—
823C2×C11—44no—
824C2×C11—82no—
825C2×C11#232111yescharacteristic
826C2×C11#232511yescharacteristic
827C2×C11#232811yescharacteristic
828C2×C11#235811yescharacteristic
829C2×C11#235811yescharacteristic
830C2×C11#236111yescharacteristic
831C2×C11#237711yescharacteristic
832C2×C11#266911yescharacteristic
833C2×C11#267111yescharacteristic
834C2×C11#267611yescharacteristic
835C2×C11#267811yescharacteristic
836C2×C11#268811yescharacteristic
837C2×C11#269611yescharacteristic
838C2×C11#270611yescharacteristic
839C2×C11#274911yescharacteristic
840C24—21no—
841C24—21no—
842C24—21no—
843C24—21no—
844C24—21no—
845C24—21no—
846C24—21no—
847C24—21no—
848C24—21no—
849C24—21no—
850C24—21no—
851C24—21no—
852C24—21no—
853C24—21no—
854C24—21no—
855C24—21no—
856C24—21no—
857C24—21no—
858C24—21no—
859C24—21no—
860C24—21no—
861C24—21no—
862C24—21no—
863C24—21no—
864C24—21no—
865C24—21no—
866C24—21no—
867C24—21no—
868C24—21no—
869C24—21no—
870C24—21no—
871C24—21no—
872C24—21no—
873C24—21no—
874C24—21no—
875C24—21no—
876C24—21no—
877C24—21no—
878C24C22×C4×C1112yes—
879C24C22×C4×C1112yes—
880C24C22×C4×C1112yes—
881C24C2×D4×C1112yes—
882C24C2×D4×C1112yes—
883C24C11×#4112yes—
884C24C11×#4112yes—
885C24C24×C1111yescharacteristic
886C2×D4—28no—
887C2×D4—28no—
888C2×D4—28no—
889C2×D4—28no—
890C2×D4—28no—
891C2×D4—44no—
892C2×D4—44no—
893C2×D4—44no—
894C2×D4—44no—
895C2×D4—44no—
896C2×D4—44no—
897C2×D4—44no—
898C2×D4—44no—
899C2×D4—44no—
900C2×D4—44no—
901C2×D4—44no—
902C2×D4—44no—
903C2×D4—44no—
904C2×D4—44no—
905C2×D4—44no—
906C2×D4—44no—
907C22×C4—21no—
908C22×C4—21no—
909C22×C4—21no—
910C22×C4—21no—
911C22×C4—21no—
912C22×C4—21no—
913C22×C4—21no—
914C22×C4—21no—
915C22×C4—21no—
916C22×C4—21no—
917C22×C4—21no—
918C22×C4—21no—
919C22×C4—21no—
920C22×C4—21no—
921C22×C4—21no—
922C22×C4—21no—
923C22×C4—21no—
924C22×C4—21no—
925C22×C4—21no—
926C22×C4—21no—
927C22×C4—21no—
928C22×C4—21no—
929C22×C4—21no—
930C22×C4—21no—
931C22×C4—21no—
932C22×C4—21no—
933C22×C4—21no—
934C22×C4—21no—
935C22×C4—21no—
936C22×C4—21no—
937C22×C4—21no—
938C22×C4—21no—
939C22×C4—21no—
940C22×C4—21no—
941C22×C4—21no—
942C22×C4—21no—
943C22×C4—21no—
944C22×C4—21no—
945C22×C4—21no—
946C22×C4—21no—
947C22×C4—21no—
948C22×C4—21no—
949C22×C4—21no—
950C22×C4—21no—
951C22×C4—21no—
952C22×C4—21no—
953C22×C4—21no—
954C22×C4—21no—
955C22×C4—21no—
956C22×C4—21no—
957C22×C4—21no—
958C22×C4—21no—
959C22×C4—21no—
960C22×C4—21no—
961C22×C4—21no—
962C22×C4—21no—
963C22×C4—21no—
964C22×C4—21no—
965C22×C4—21no—
966C22×C4—21no—
967C22×C4—21no—
968C22×C4—21no—
969C22×C4—21no—
970C22×C4—21no—
971C22×C4—21no—
972C22×C4—21no—
973C22×C4—21no—
974C22×C4—21no—
975C22×C4—21no—
976C22×C4—21no—
977C22×C4—21no—
978C22×C4—21no—
979C22×C4—44no—
980C22×C4—44no—
981C22×C4—44no—
982C22×C4—44no—
983C22×C4—44no—
984C22×C4—44no—
985C22×C4—44no—
986C22×C4—44no—
987C22×C4—44no—
988C22×C4—44no—
989C22×C4—44no—
990C22×C4—44no—
991C22×C4—44no—
992C22×C4—44no—
993C22×C4C22×C4×C1112yes—
994C22×C4C22×C4×C1112yes—
995C22×C4C22×C4×C1112yes—
996C22×C4C22×C4×C1112yes—
997C22×C4C2×D4×C1112yes—
998C22×C4C2×D4×C1112yes—
999C22×C4C2×D4×C1112yes—
1000C22×C4C2×D4×C1112yes—
1001C22×C4C2×D4×C1112yes—
1002C22×C4C2×D4×C1112yes—
1003C22×C4C2×D4×C1112yes—
1004C22×C4C11×#4112yes—
1005C4⋊C4—44no—
1006C4⋊C4—44no—
1007C22⋊C4—28no—
1008C22⋊C4—44no—
1009C22⋊C4—44no—
1010C22⋊C4—44no—
1011C22⋊C4—44no—
1012C22⋊C4—44no—
1013C22⋊C4—44no—
1014C22⋊C4—44no—
1015C22⋊C4—44no—
1016C22⋊C4—44no—
1017C22⋊C4—44no—
1018C22⋊C4—44no—
1019C22⋊C4—44no—
1020C42—44no—
1021C11#1451911yescharacteristic, direct product factor, Sylow
1022C23—22no—
1023C23—22no—
1024C23—22no—
1025C23—22no—
1026C23—22no—
1027C23—22no—
1028C23—22no—
1029C23—22no—
1030C23—22no—
1031C23—22no—
1032C23—22no—
1033C23—22no—
1034C23—22no—
1035C23—22no—
1036C23—22no—
1037C23—22no—
1038C23—22no—
1039C23—22no—
1040C23—22no—
1041C23—22no—
1042C23—22no—
1043C23—22no—
1044C23—22no—
1045C23—22no—
1046C23—22no—
1047C23—22no—
1048C23—22no—
1049C23—22no—
1050C23—22no—
1051C23—22no—
1052C23—22no—
1053C23—22no—
1054C23—22no—
1055C23—22no—
1056C23—22no—
1057C23—22no—
1058C23—22no—
1059C23—22no—
1060C23—22no—
1061C23—22no—
1062C23—22no—
1063C23—22no—
1064C23—22no—
1065C23—41no—
1066C23—41no—
1067C23—41no—
1068C23—41no—
1069C23—41no—
1070C23—41no—
1071C23—41no—
1072C23—41no—
1073C23—41no—
1074C23—41no—
1075C23—41no—
1076C23—41no—
1077C23—41no—
1078C23—41no—
1079C23—41no—
1080C23—41no—
1081C23—41no—
1082C23—41no—
1083C23—41no—
1084C23—41no—
1085C23—41no—
1086C23—41no—
1087C23—41no—
1088C23—41no—
1089C23—41no—
1090C23—41no—
1091C23—41no—
1092C23—41no—
1093C23—41no—
1094C23—41no—
1095C23—41no—
1096C23—41no—
1097C23—41no—
1098C23—41no—
1099C23—41no—
1100C23—41no—
1101C23—41no—
1102C23—41no—
1103C23—41no—
1104C23—41no—
1105C23—41no—
1106C23—41no—
1107C23—41no—
1108C23—41no—
1109C23—41no—
1110C23—41no—
1111C23—41no—
1112C23—41no—
1113C23—41no—
1114C23—41no—
1115C23—41no—
1116C23—41no—
1117C23—41no—
1118C23—41no—
1119C23—41no—
1120C23—41no—
1121C23—41no—
1122C23—41no—
1123C23—41no—
1124C23—41no—
1125C23C4×D4×C1114yes—
1126C23C4×D4×C1114yes—
1127C23C23×C4×C1111yescharacteristic
1128C23C22×D4×C1111yescharacteristic
1129C23C22×D4×C1111yescharacteristic
1130C23C22×D4×C1111yescharacteristic
1131C23C2×C11×#4111yescharacteristic
1132C23C2×C11×#4111yescharacteristic
1133C23C2×C11×#4111yescharacteristic
1134C23C11×H(5,𝔽2)11yescharacteristic
1135C23C11×H(5,𝔽2)11yescharacteristic
1136C23C11×H(5,𝔽2)11yescharacteristic
1137C23C11×H(5,𝔽2)11yescharacteristic
1138C23C11×H(5,𝔽2)11yescharacteristic
1139C23C11×H(5,𝔽2)11yescharacteristic
1140C23C11×H(5,𝔽2)11yescharacteristic
1141C23C11×2−1+411yescharacteristic
1142D4—416no—
1143D4—416no—
1144D4—416no—
1145C2×C4—22no—
1146C2×C4—22no—
1147C2×C4—22no—
1148C2×C4—22no—
1149C2×C4—22no—
1150C2×C4—22no—
1151C2×C4—22no—
1152C2×C4—22no—
1153C2×C4—22no—
1154C2×C4—22no—
1155C2×C4—22no—
1156C2×C4—22no—
1157C2×C4—22no—
1158C2×C4—22no—
1159C2×C4—22no—
1160C2×C4—22no—
1161C2×C4—22no—
1162C2×C4—22no—
1163C2×C4—22no—
1164C2×C4—22no—
1165C2×C4—22no—
1166C2×C4—22no—
1167C2×C4—22no—
1168C2×C4—22no—
1169C2×C4—22no—
1170C2×C4—22no—
1171C2×C4—22no—
1172C2×C4—22no—
1173C2×C4—22no—
1174C2×C4—22no—
1175C2×C4—22no—
1176C2×C4—22no—
1177C2×C4—22no—
1178C2×C4—416no—
1179C2×C4—416no—
1180C2×C4—41no—
1181C2×C4—41no—
1182C2×C4—41no—
1183C2×C4—41no—
1184C2×C4—41no—
1185C2×C4—41no—
1186C2×C4—41no—
1187C2×C4—41no—
1188C2×C4—41no—
1189C2×C4—41no—
1190C2×C4—41no—
1191C2×C4—41no—
1192C2×C4—41no—
1193C2×C4—41no—
1194C2×C4—41no—
1195C2×C4—41no—
1196C2×C4—41no—
1197C2×C4—41no—
1198C2×C4—41no—
1199C2×C4—41no—
1200C2×C4—41no—
1201C2×C4—41no—
1202C2×C4—41no—
1203C2×C4—41no—
1204C2×C4—41no—
1205C2×C4—41no—
1206C2×C4—41no—
1207C2×C4—41no—
1208C2×C4—41no—
1209C2×C4—41no—
1210C2×C4—41no—
1211C2×C4—41no—
1212C2×C4—41no—
1213C2×C4—41no—
1214C2×C4—41no—
1215C2×C4—41no—
1216C2×C4—41no—
1217C2×C4—41no—
1218C2×C4—41no—
1219C2×C4—41no—
1220C2×C4—41no—
1221C2×C4—41no—
1222C2×C4—41no—
1223C2×C4—41no—
1224C2×C4—41no—
1225C2×C4—41no—
1226C2×C4—41no—
1227C2×C4—41no—
1228C2×C4—41no—
1229C2×C4—41no—
1230C2×C4C4×D4×C1114yes—
1231C22—24no—
1232C22—24no—
1233C22—24no—
1234C22—24no—
1235C22—24no—
1236C22—24no—
1237C22—42no—
1238C22—42no—
1239C22—42no—
1240C22—42no—
1241C22—42no—
1242C22—42no—
1243C22—42no—
1244C22—42no—
1245C22—42no—
1246C22—42no—
1247C22—42no—
1248C22—42no—
1249C22—42no—
1250C22—42no—
1251C22—42no—
1252C22—42no—
1253C22—42no—
1254C22—42no—
1255C22—42no—
1256C22—42no—
1257C22—42no—
1258C22—42no—
1259C22—42no—
1260C22—42no—
1261C22—42no—
1262C22—42no—
1263C22—42no—
1264C22—42no—
1265C22—42no—
1266C22—42no—
1267C22—42no—
1268C22—81no—
1269C22—81no—
1270C22—81no—
1271C22—81no—
1272C22—81no—
1273C22—81no—
1274C22—81no—
1275C22—81no—
1276C22C2×C4×D4×C1111yescharacteristic
1277C22C2×C4×D4×C1111yescharacteristic
1278C22C2×C4×D4×C1111yescharacteristic
1279C22C11×#51811yescharacteristic
1280C22C11×#51811yescharacteristic
1281C22C11×#51811yescharacteristic
1282C22C11×#52011yescharacteristic
1283C22C11×#53411yescharacteristic
1284C22C11×#53411yescharacteristic
1285C22C11×#53511yescharacteristic
1286C22C11×#53511yescharacteristic
1287C22C11×#53511yescharacteristic
1288C22C11×#53711yescharacteristic
1289C22C11×#53811yescharacteristic
1290C22C11×#53811yescharacteristic
1291C22C11×#53811yescharacteristic
1292C22C11×#53911yescharacteristic
1293C22C11×#54011yescharacteristic
1294C22C11×#54011yescharacteristic
1295C22D42×C1111yescharacteristic
1296C22D42×C1111yescharacteristic
1297C22D42×C1111yescharacteristic
1298C22C11×#54611yescharacteristic
1299C22C11×#54611yescharacteristic
1300C22C11×#54611yescharacteristic
1301C22C11×#54611yescharacteristic
1302C22C11×#54711yescharacteristic
1303C22C11×#54811yescharacteristic
1304C22C11×#55111yescharacteristic
1305C22C11×#55111yescharacteristic
1306C22C11×#55311yescharacteristic
1307C22C11×#56011yescharacteristic
1308C22C11×#56011yescharacteristic
1309C22C11×#56211yescharacteristic
1310C22C11×#56211yescharacteristic
1311C4—24no—
1312C4—42no—
1313C4—42no—
1314C4—42no—
1315C4—42no—
1316C4—42no—
1317C4—42no—
1318C4—42no—
1319C4—42no—
1320C4—42no—
1321C4—81no—
1322C4—81no—
1323C2—44no—
1324C2—44no—
1325C2—82no—
1326C2C11×#232111yescharacteristic
1327C2C11×#232511yescharacteristic
1328C2C11×#232811yescharacteristic
1329C2C11×#235811yescharacteristic
1330C2C11×#235811yescharacteristic
1331C2C11×#236111yescharacteristic
1332C2C11×#237711yescharacteristic
1333C2C11×#266911yescharacteristic
1334C2C11×#267111yescharacteristic
1335C2C11×#267611yescharacteristic
1336C2C11×#267811yescharacteristic
1337C2C11×#268811yescharacteristic
1338C2C11×#269611yescharacteristic
1339C2C11×#270611yescharacteristic
1340C2C11×#274911yescharacteristic
subgroupG/H
center, socleC24×C11C24
commutatorC23C23×C4×C11
Frattini, cosocleC24C24×C11
prime radicalC2×C11×#392C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C24×C11 ◁ G

Complements

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

NH ≅ G/Ntype
2. C2×C11×#390C2semidirect
3. C2×C11×#386C2semidirect
4. C2×C11×#386C2semidirect
5. C2×C11×#386C2semidirect
6. C2×C11×#386C2semidirect
7. C2×C11×#385C2semidirect
8. C11×#1442C2semidirect
9. C11×#1440C2semidirect
10. C11×#1439C2semidirect
11. C11×#1439C2semidirect
12. C11×#1438C2semidirect
13. C11×#1437C2semidirect
14. C11×#1434C2semidirect
15. C11×C22⋊#95C2semidirect
37. C11×#392C4semidirect
80. C22×D4×C11C2×C4semidirect
81. C22×D4×C11C2×C4semidirect
148. C2×C11×C22⋊C4C2×C4semidirect
149. C2×C11×C22⋊C4C2×C4semidirect
150. C2×C11×C22⋊C4C2×C4semidirect
151. C2×C11×C22⋊C4D4semidirect
152. C2×C11×C22⋊C4D4semidirect
168. C11×#95C2×C4semidirect
169. C11×#95D4semidirect
170. #14519C11direct (N × H)
353. C2×#390C2×C11semidirect
354. C2×#386C2×C11semidirect
355. C2×#386C2×C11semidirect
356. C2×#386C2×C11semidirect
357. C2×#386C2×C11semidirect
358. C2×#385C2×C11semidirect
359. #1442C2×C11semidirect
360. #1440C2×C11semidirect
361. #1439C2×C11semidirect
362. #1439C2×C11semidirect
363. #1438C2×C11semidirect
364. #1437C2×C11semidirect
365. #1434C2×C11semidirect
366. C22⋊#95C2×C11semidirect
597. #392C4×C11semidirect
732. C22×D4C2×C4×C11semidirect
733. C22×D4C2×C4×C11semidirect
800. C2×C22⋊C4C2×C4×C11semidirect
801. C2×C22⋊C4C2×C4×C11semidirect
802. C2×C22⋊C4C2×C4×C11semidirect
803. C2×C22⋊C4D4×C11semidirect
804. C2×C22⋊C4D4×C11semidirect
820. #95C2×C4×C11semidirect
821. #95D4×C11semidirect
1021. C11#14519direct (N × H)

Maximal subgroups

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

subgroupindex
C2×C11×#3922
C2×C11×#3902
C2×C11×#3862
C2×C11×#3852
C11×#14422
C11×#14402
C11×#14392
C11×#14382
C11×#14372
C11×#14342
C11×C22⋊#952
#1451911