Finite Group Databasebeta

← C11×#11066 #14588259

Subgroups — C11×#11066 #14588259

Order 2816.

1282 conjugacy classes of subgroups.

The subgroup lattice has 864 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×C11×#102C211yesmaximal, characteristic
2C22×C11×#102C211yesmaximal, characteristic
3C2×C11×#390C211yesmaximal, characteristic
4C2×C11×#389C211yesmaximal, characteristic, complemented
5C2×C11×#340C211yesmaximal, characteristic, complemented
6C2×C11×#340C211yesmaximal, characteristic, complemented
7C2×C11×#336C211yesmaximal, characteristic, complemented
8C23×D4×C11C2211yescharacteristic
9C23×C8×C11C2211yescharacteristic
10C23×C8×C11C2211yescharacteristic
11C22×C11×C4⋊C4—21no—
12C22×C11×C4⋊C4C2211yescharacteristic
13C22×C11×C4⋊C4C2211yescharacteristic
14C22×C11×C4⋊C4C2211yescharacteristic
15C22×C11×C22⋊C4—21no—
16C22×C11×C22⋊C4—21no—
17C22×C42×C11C2211yescharacteristic
18C2×C11×#102—22no—
19C2×C11×#102—22no—
20C2×C11×#102—22no—
21C2×C11×#102—22no—
22C2×C11×#102—22no—
23C2×C11×#102C414yescomplemented
24C11×#390—22no—
25C11×#390—22no—
26C11×#389—22no—
27C11×#389—22no—
28C2×C11×#95—21no—
29C11×#340—22no—
30C11×#340—22no—
31C11×#336—22no—
32C25×C11—21no—
33C22×D4×C11—21no—
34C22×D4×C11—21no—
35C22×D4×C11—21no—
36C22×D4×C11—21no—
37C22×D4×C11—21no—
38C22×D4×C11—21no—
39C22×D4×C11—21no—
40C22×D4×C11—21no—
41C22×D4×C11—21no—
42C22×D4×C11—21no—
43C22×D4×C11—21no—
44C22×D4×C11C2×C412yes—
45C22×D4×C11D412yes—
46C22×D4×C11Q812yes—
47C23×C4×C11—21no—
48C23×C4×C11—21no—
49C23×C4×C11—21no—
50C23×C4×C11D411yescharacteristic
51C23×C4×C11D411yescharacteristic
52C23×C4×C11C2311yescharacteristic
53C22×C8×C11—21no—
54C22×C8×C11—21no—
55C22×C8×C11—21no—
56C22×C8×C11—21no—
57C22×C8×C11—21no—
58C22×C8×C11—21no—
59C22×C8×C11—21no—
60C22×C8×C11—21no—
61C22×C8×C11—21no—
62C22×C8×C11—21no—
63C22×C8×C11—21no—
64C22×C8×C11—21no—
65C22×C8×C11C2×C412yes—
66C22×C8×C11D412yes—
67C2×C11×C4⋊C4—21no—
68C2×C11×C4⋊C4—21no—
69C2×C11×C4⋊C4—21no—
70C2×C11×C4⋊C4—21no—
71C2×C11×C4⋊C4—21no—
72C2×C11×C4⋊C4—21no—
73C2×C11×C4⋊C4—21no—
74C2×C11×C4⋊C4—21no—
75C2×C11×C4⋊C4—21no—
76C2×C11×C4⋊C4—21no—
77C2×C11×C4⋊C4—21no—
78C2×C11×C4⋊C4—24no—
79C2×C11×C4⋊C4—21no—
80C2×C11×C4⋊C4—21no—
81C2×C11×C4⋊C4—42no—
82C2×C11×C4⋊C4—42no—
83C2×C11×C4⋊C4C2×C412yes—
84C2×C11×C4⋊C4D412yes—
85C2×C11×C4⋊C4D412yes—
86C2×C11×C4⋊C4D412yes—
87C2×C11×C4⋊C4D412yes—
88C2×C11×C22⋊C4—24no—
89C2×C11×C22⋊C4—24no—
90C2×C11×C22⋊C4—42no—
91C2×C11×C22⋊C4—42no—
92C2×C11×C22⋊C4—42no—
93C2×C11×C22⋊C4—42no—
94C2×C42×C11—21no—
95C2×C42×C11—21no—
96C2×C42×C11—21no—
97C2×C42×C11—21no—
98C2×C42×C11—21no—
99C2×C42×C11—21no—
100C11×#102—28no—
101C11×#102—28no—
102C11×#95—24no—
103#11066C1111yesmaximal, characteristic, direct product factor, Sylow
104C24×C11—22no—
105C24×C11—22no—
106C24×C11—22no—
107C24×C11—41no—
108C24×C11—41no—
109C24×C11—41no—
110C24×C11—41no—
111C24×C11—41no—
112C24×C11—41no—
113C24×C11—41no—
114C24×C11—41no—
115C24×C11—41no—
116C24×C11—41no—
117C24×C11—41no—
118C24×C11—41no—
119C24×C11C2×D411yescharacteristic
120C2×D4×C11—22no—
121C2×D4×C11—22no—
122C2×D4×C11—22no—
123C2×D4×C11—22no—
124C2×D4×C11—22no—
125C2×D4×C11—22no—
126C2×D4×C11—22no—
127C2×D4×C11—22no—
128C2×D4×C11—22no—
129C2×D4×C11—22no—
130C2×D4×C11—22no—
131C2×D4×C11—22no—
132C2×D4×C11—22no—
133C2×D4×C11—22no—
134C2×D4×C11—22no—
135C2×D4×C11—41no—
136C2×D4×C11—41no—
137C2×D4×C11—41no—
138C2×D4×C11—41no—
139C2×D4×C11—41no—
140C2×D4×C11—41no—
141C2×D4×C11—41no—
142C2×D4×C11—41no—
143C2×D4×C11—41no—
144C2×D4×C11—41no—
145C2×D4×C11—41no—
146C2×D4×C11—41no—
147C2×D4×C11C4⋊C414yescomplemented
148C22×C4×C11—22no—
149C22×C4×C11—21no—
150C22×C4×C11—22no—
151C22×C4×C11—21no—
152C22×C4×C11—21no—
153C22×C4×C11—21no—
154C22×C4×C11—21no—
155C22×C4×C11—21no—
156C22×C4×C11—22no—
157C22×C4×C11—21no—
158C22×C4×C11—21no—
159C22×C4×C11—21no—
160C22×C4×C11—21no—
161C22×C4×C11—21no—
162C22×C4×C11—21no—
163C22×C4×C11—22no—
164C22×C4×C11—22no—
165C22×C4×C11—41no—
166C22×C4×C11—41no—
167C22×C4×C11—41no—
168C22×C4×C11—41no—
169C22×C4×C11—41no—
170C22×C4×C11—41no—
171C22×C4×C11—41no—
172C22×C4×C11—41no—
173C22×C4×C11—41no—
174C22×C4×C11—41no—
175C22×C4×C11—41no—
176C22×C4×C11—41no—
177C22×C4×C11—41no—
178C22×C4×C11—41no—
179C22×C4×C11—41no—
180C22×C4×C11—41no—
181C22×C4×C11D812yes—
182C22×C4×C11SD1612yes—
183C22×C4×C11C22×C411yescharacteristic
184C22×C4×C11C2×D411yescharacteristic
185C22×C4×C11C2×D411yescharacteristic
186C22×C4×C11C2×D411yescharacteristic
187C22×C4×C11C2×D411yescharacteristic
188C22×C4×C11C2×D411yescharacteristic
189C22×C4×C11C2×D411yescharacteristic
190C22×C4×C11C2×Q811yescharacteristic
191C22×C4×C11#4111yescharacteristic
192C22×C4×C11#4111yescharacteristic
193C22×C4×C11#4111yescharacteristic
194C22×C4×C11#4111yescharacteristic
195C22×C4×C11#4111yescharacteristic
196C22×C4×C11#4111yescharacteristic
197C2×C8×C11—22no—
198C2×C8×C11—22no—
199C2×C8×C11—22no—
200C2×C8×C11—22no—
201C2×C8×C11—22no—
202C2×C8×C11—22no—
203C2×C8×C11—41no—
204C2×C8×C11—41no—
205C2×C8×C11—41no—
206C2×C8×C11—41no—
207C2×C8×C11—41no—
208C2×C8×C11—41no—
209C2×C8×C11—41no—
210C2×C8×C11—41no—
211C11×C4⋊C4—22no—
212C11×C4⋊C4—22no—
213C11×C4⋊C4—22no—
214C11×C4⋊C4—22no—
215C11×C4⋊C4—22no—
216C11×C4⋊C4—22no—
217C11×C4⋊C4—22no—
218C11×C4⋊C4—48no—
219C11×C4⋊C4—41no—
220C11×C4⋊C4—41no—
221C11×C4⋊C4—41no—
222C11×C4⋊C4—41no—
223C11×C4⋊C4C22⋊C414yescomplemented
224C11×C22⋊C4—48no—
225C11×C22⋊C4—48no—
226C42×C11—41no—
227C42×C11—41no—
228C42×C11—41no—
229C42×C11—41no—
230C22×#102C2×C1111yescharacteristic
231C22×#102C2×C1111yescharacteristic
232C2×#390C2×C1111yescharacteristic
233C2×#389C2×C1111yescharacteristic, complemented
234C2×#340C2×C1111yescharacteristic, complemented
235C2×#340C2×C1111yescharacteristic, complemented
236C2×#336C2×C1111yescharacteristic, complemented
237C23×C11—24no—
238C23×C11—42no—
239C23×C11—42no—
240C23×C11—42no—
241C23×C11—42no—
242C23×C11—42no—
243C23×C11—42no—
244C23×C11—42no—
245C23×C11—42no—
246C23×C11—42no—
247C23×C11—42no—
248C23×C11—42no—
249C23×C11—42no—
250C23×C11—42no—
251C23×C11—42no—
252C23×C11—42no—
253C23×C11—42no—
254C23×C11—42no—
255C23×C11—42no—
256C23×C11—81no—
257C23×C11—81no—
258C23×C11—81no—
259C23×C11—81no—
260C23×C11—81no—
261C23×C11—81no—
262C23×C11—81no—
263C23×C11—81no—
264C23×C11—81no—
265C23×C11—81no—
266C23×C11—81no—
267C23×C11—81no—
268C23×C11—81no—
269C23×C11—81no—
270C23×C11—81no—
271C23×C11—81no—
272C23×C11C4×D411yescharacteristic
273C23×C11#12011yescharacteristic
274C23×C11#12011yescharacteristic
275C23×C11#12111yescharacteristic
276C23×C11#12111yescharacteristic
277C23×C11C22⋊Q811yescharacteristic
278C23×C11#12411yescharacteristic
279C23×C11C2×D811yescharacteristic
280C23×C11C2×SD1611yescharacteristic
281C23×C11#13511yescharacteristic
282C23×C11#13511yescharacteristic
283C23×C11AGL(1,ℤ/8)11yescharacteristic
284C23×C11AGL(1,ℤ/8)11yescharacteristic
285C23×C11AGL(1,ℤ/8)11yescharacteristic
286C23×C11#13711yescharacteristic
287D4×C11—24no—
288D4×C11—24no—
289D4×C11—42no—
290D4×C11—42no—
291D4×C11—42no—
292D4×C11—42no—
293D4×C11—42no—
294D4×C11—42no—
295C2×C4×C11—24no—
296C2×C4×C11—22no—
297C2×C4×C11—22no—
298C2×C4×C11—22no—
299C2×C4×C11—22no—
300C2×C4×C11—22no—
301C2×C4×C11—22no—
302C2×C4×C11—41no—
303C2×C4×C11—41no—
304C2×C4×C11—42no—
305C2×C4×C11—42no—
306C2×C4×C11—42no—
307C2×C4×C11—41no—
308C2×C4×C11—41no—
309C2×C4×C11—41no—
310C2×C4×C11—42no—
311C2×C4×C11—41no—
312C2×C4×C11—42no—
313C2×C4×C11—42no—
314C2×C4×C11—41no—
315C2×C4×C11—41no—
316C2×C4×C11—42no—
317C2×C4×C11—42no—
318C2×C4×C11—42no—
319C2×C4×C11—42no—
320C2×C4×C11—42no—
321C2×C4×C11—42no—
322C2×C4×C11—81no—
323C2×C4×C11—81no—
324C2×C4×C11—81no—
325C2×C4×C11—81no—
326C2×C4×C11—81no—
327C2×C4×C11—81no—
328C2×C4×C11—81no—
329C2×C4×C11—81no—
330C2×C4×C11C2×C22⋊C411yescharacteristic
331C2×C4×C11C2×C4⋊C411yescharacteristic
332C2×C4×C11#11711yescharacteristic
333C2×C4×C11C4×D411yescharacteristic
334C2×C4×C11C4×D411yescharacteristic
335C2×C4×C11C4×D411yescharacteristic
336C2×C4×C11#12011yescharacteristic
337C2×C4×C11#12111yescharacteristic
338C2×C4×C11#12111yescharacteristic
339C2×C4×C11#12111yescharacteristic
340C2×C4×C11#12111yescharacteristic
341C2×C4×C11#12111yescharacteristic
342C2×C4×C11#12111yescharacteristic
343C2×C4×C11C22⋊Q811yescharacteristic
344C2×C4×C11C22⋊Q811yescharacteristic
345C2×C4×C11C22⋊Q811yescharacteristic
346C2×C4×C11C22⋊Q811yescharacteristic
347C2×C4×C11C22⋊Q811yescharacteristic
348C2×C4×C11#12311yescharacteristic
349C2×C4×C11#12311yescharacteristic
350C2×C4×C11#12311yescharacteristic
351C2×C4×C11#12311yescharacteristic
352C2×C4×C11#12311yescharacteristic
353C2×C4×C11#12411yescharacteristic
354C2×C4×C11#12411yescharacteristic
355C2×C4×C11#12611yescharacteristic
356C2×C4×C11#12611yescharacteristic
357C2×C4×C11#12711yescharacteristic
358C8×C11—42no—
359C8×C11—42no—
360C23×D4C22×C1111yescharacteristic
361C23×C8C22×C1111yescharacteristic
362C23×C8C22×C1111yescharacteristic
363C22×C4⋊C4—21no—
364C22×C4⋊C4C22×C1111yescharacteristic
365C22×C4⋊C4C22×C1111yescharacteristic
366C22×C4⋊C4C22×C1111yescharacteristic
367C22×C22⋊C4—21no—
368C22×C22⋊C4—21no—
369C22×C42C22×C1111yescharacteristic
370C2×#102—22no—
371C2×#102—22no—
372C2×#102—22no—
373C2×#102—22no—
374C2×#102—22no—
375C2×#102C4×C1114yescomplemented
376#390—22no—
377#390—22no—
378#389—22no—
379#389—22no—
380C2×#95—21no—
381#340—22no—
382#340—22no—
383#336—22no—
384C22×C11—44no—
385C22×C11—44no—
386C22×C11—44no—
387C22×C11—82no—
388C22×C11—82no—
389C22×C11—82no—
390C22×C11—82no—
391C22×C11—82no—
392C22×C11—82no—
393C22×C11—82no—
394C22×C11—82no—
395C22×C11—82no—
396C22×C11—82no—
397C22×C11—82no—
398C22×C11—82no—
399C22×C11#38511yescharacteristic
400C22×C11#38611yescharacteristic
401C22×C11#38811yescharacteristic
402C22×C11#39211yescharacteristic
403C22×C11#39311yescharacteristic
404C22×C11#39411yescharacteristic
405C22×C11#39611yescharacteristic
406C22×C11C4×D811yescharacteristic
407C22×C11C4×SD1611yescharacteristic
408C22×C11#44011yescharacteristic
409C22×C11#44211yescharacteristic
410C22×C11#44711yescharacteristic
411C22×C11#44711yescharacteristic
412C22×C11#44811yescharacteristic
413C22×C11#44911yescharacteristic
414C22×C11#44911yescharacteristic
415C22×C11#44911yescharacteristic
416C22×C11#45011yescharacteristic
417C22×C11#45211yescharacteristic
418C22×C11#45911yescharacteristic
419C22×C11#46011yescharacteristic
420C22×C11#46311yescharacteristic
421C22×C11#46411yescharacteristic
422C22×C11#46511yescharacteristic
423C22×C11#46611yescharacteristic
424C22×C11#46811yescharacteristic
425C22×C11#46911yescharacteristic
426C22×C11#47411yescharacteristic
427C22×C11#47611yescharacteristic
428C22×C11#47811yescharacteristic
429C22×C11#47811yescharacteristic
430C22×C11#48611yescharacteristic
431C22×C11#48811yescharacteristic
432C22×C11#48911yescharacteristic
433C22×C11#49011yescharacteristic
434C4×C11—44no—
435C4×C11—42no—
436C4×C11—42no—
437C4×C11—82no—
438C4×C11—82no—
439C4×C11#38011yescharacteristic
440C4×C11#38511yescharacteristic
441C4×C11#38811yescharacteristic
442C4×C11#39011yescharacteristic
443C4×C11#39411yescharacteristic
444C4×C11#39611yescharacteristic
445C4×C11#39711yescharacteristic
446C4×C11#39911yescharacteristic
447C25—21no—
448C22×D4—21no—
449C22×D4—21no—
450C22×D4—21no—
451C22×D4—21no—
452C22×D4—21no—
453C22×D4—21no—
454C22×D4—21no—
455C22×D4—21no—
456C22×D4—21no—
457C22×D4—21no—
458C22×D4—21no—
459C22×D4C2×C4×C1112yes—
460C22×D4D4×C1112yes—
461C22×D4Q8×C1112yes—
462C23×C4—21no—
463C23×C4—21no—
464C23×C4—21no—
465C23×C4D4×C1111yescharacteristic
466C23×C4D4×C1111yescharacteristic
467C23×C4C23×C1111yescharacteristic
468C22×C8—21no—
469C22×C8—21no—
470C22×C8—21no—
471C22×C8—21no—
472C22×C8—21no—
473C22×C8—21no—
474C22×C8—21no—
475C22×C8—21no—
476C22×C8—21no—
477C22×C8—21no—
478C22×C8—21no—
479C22×C8—21no—
480C22×C8C2×C4×C1112yes—
481C22×C8D4×C1112yes—
482C2×C4⋊C4—21no—
483C2×C4⋊C4—21no—
484C2×C4⋊C4—21no—
485C2×C4⋊C4—21no—
486C2×C4⋊C4—21no—
487C2×C4⋊C4—21no—
488C2×C4⋊C4—21no—
489C2×C4⋊C4—21no—
490C2×C4⋊C4—21no—
491C2×C4⋊C4—21no—
492C2×C4⋊C4—21no—
493C2×C4⋊C4—24no—
494C2×C4⋊C4—21no—
495C2×C4⋊C4—21no—
496C2×C4⋊C4—42no—
497C2×C4⋊C4—42no—
498C2×C4⋊C4C2×C4×C1112yes—
499C2×C4⋊C4D4×C1112yes—
500C2×C4⋊C4D4×C1112yes—
501C2×C4⋊C4D4×C1112yes—
502C2×C4⋊C4D4×C1112yes—
503C2×C22⋊C4—24no—
504C2×C22⋊C4—24no—
505C2×C22⋊C4—42no—
506C2×C22⋊C4—42no—
507C2×C22⋊C4—42no—
508C2×C22⋊C4—42no—
509C2×C42—21no—
510C2×C42—21no—
511C2×C42—21no—
512C2×C42—21no—
513C2×C42—21no—
514C2×C42—21no—
515#102—28no—
516#102—28no—
517#95—24no—
518C2×C11—84no—
519C2×C11#143911yescharacteristic
520C2×C11#186211yescharacteristic
521C2×C11#186411yescharacteristic
522C2×C11#187911yescharacteristic
523C2×C11#188011yescharacteristic
524C2×C11#193411yescharacteristic
525C2×C11#193611yescharacteristic
526C2×C11#199911yescharacteristic
527C2×C11#200011yescharacteristic
528C2×C11#202311yescharacteristic
529C2×C11#202511yescharacteristic
530C2×C11#204111yescharacteristic
531C2×C11#204211yescharacteristic
532C2×C11#206511yescharacteristic
533C2×C11#206711yescharacteristic
534C24—22no—
535C24—22no—
536C24—22no—
537C24—41no—
538C24—41no—
539C24—41no—
540C24—41no—
541C24—41no—
542C24—41no—
543C24—41no—
544C24—41no—
545C24—41no—
546C24—41no—
547C24—41no—
548C24—41no—
549C24C2×D4×C1111yescharacteristic
550C2×D4—22no—
551C2×D4—22no—
552C2×D4—22no—
553C2×D4—22no—
554C2×D4—22no—
555C2×D4—22no—
556C2×D4—22no—
557C2×D4—22no—
558C2×D4—22no—
559C2×D4—22no—
560C2×D4—22no—
561C2×D4—22no—
562C2×D4—22no—
563C2×D4—22no—
564C2×D4—22no—
565C2×D4—41no—
566C2×D4—41no—
567C2×D4—41no—
568C2×D4—41no—
569C2×D4—41no—
570C2×D4—41no—
571C2×D4—41no—
572C2×D4—41no—
573C2×D4—41no—
574C2×D4—41no—
575C2×D4—41no—
576C2×D4—41no—
577C2×D4C11×C4⋊C414yescomplemented
578C22×C4—22no—
579C22×C4—21no—
580C22×C4—22no—
581C22×C4—21no—
582C22×C4—21no—
583C22×C4—21no—
584C22×C4—21no—
585C22×C4—21no—
586C22×C4—22no—
587C22×C4—21no—
588C22×C4—21no—
589C22×C4—21no—
590C22×C4—21no—
591C22×C4—21no—
592C22×C4—21no—
593C22×C4—22no—
594C22×C4—22no—
595C22×C4—41no—
596C22×C4—41no—
597C22×C4—41no—
598C22×C4—41no—
599C22×C4—41no—
600C22×C4—41no—
601C22×C4—41no—
602C22×C4—41no—
603C22×C4—41no—
604C22×C4—41no—
605C22×C4—41no—
606C22×C4—41no—
607C22×C4—41no—
608C22×C4—41no—
609C22×C4—41no—
610C22×C4—41no—
611C22×C4C11×D812yes—
612C22×C4C11×SD1612yes—
613C22×C4C22×C4×C1111yescharacteristic
614C22×C4C2×D4×C1111yescharacteristic
615C22×C4C2×D4×C1111yescharacteristic
616C22×C4C2×D4×C1111yescharacteristic
617C22×C4C2×D4×C1111yescharacteristic
618C22×C4C2×D4×C1111yescharacteristic
619C22×C4C2×D4×C1111yescharacteristic
620C22×C4C2×Q8×C1111yescharacteristic
621C22×C4C11×#4111yescharacteristic
622C22×C4C11×#4111yescharacteristic
623C22×C4C11×#4111yescharacteristic
624C22×C4C11×#4111yescharacteristic
625C22×C4C11×#4111yescharacteristic
626C22×C4C11×#4111yescharacteristic
627C2×C8—22no—
628C2×C8—22no—
629C2×C8—22no—
630C2×C8—22no—
631C2×C8—22no—
632C2×C8—22no—
633C2×C8—41no—
634C2×C8—41no—
635C2×C8—41no—
636C2×C8—41no—
637C2×C8—41no—
638C2×C8—41no—
639C2×C8—41no—
640C2×C8—41no—
641C4⋊C4—22no—
642C4⋊C4—22no—
643C4⋊C4—22no—
644C4⋊C4—22no—
645C4⋊C4—22no—
646C4⋊C4—22no—
647C4⋊C4—22no—
648C4⋊C4—48no—
649C4⋊C4—41no—
650C4⋊C4—41no—
651C4⋊C4—41no—
652C4⋊C4—41no—
653C4⋊C4C11×C22⋊C414yescomplemented
654C22⋊C4—48no—
655C22⋊C4—48no—
656C42—41no—
657C42—41no—
658C42—41no—
659C42—41no—
660C11#1106611yescharacteristic, direct product factor, Sylow
661C23—24no—
662C23—42no—
663C23—42no—
664C23—42no—
665C23—42no—
666C23—42no—
667C23—42no—
668C23—42no—
669C23—42no—
670C23—42no—
671C23—42no—
672C23—42no—
673C23—42no—
674C23—42no—
675C23—42no—
676C23—42no—
677C23—42no—
678C23—42no—
679C23—42no—
680C23—81no—
681C23—81no—
682C23—81no—
683C23—81no—
684C23—81no—
685C23—81no—
686C23—81no—
687C23—81no—
688C23—81no—
689C23—81no—
690C23—81no—
691C23—81no—
692C23—81no—
693C23—81no—
694C23—81no—
695C23—81no—
696C23C4×D4×C1111yescharacteristic
697C23C11×#12011yescharacteristic
698C23C11×#12011yescharacteristic
699C23C11×#12111yescharacteristic
700C23C11×#12111yescharacteristic
701C23C11×C22⋊Q811yescharacteristic
702C23C11×#12411yescharacteristic
703C23C2×C11×D811yescharacteristic
704C23C2×C11×SD1611yescharacteristic
705C23C11×#13511yescharacteristic
706C23C11×#13511yescharacteristic
707C23C11×AGL(1,ℤ/8)11yescharacteristic
708C23C11×AGL(1,ℤ/8)11yescharacteristic
709C23C11×AGL(1,ℤ/8)11yescharacteristic
710C23C11×#13711yescharacteristic
711D4—24no—
712D4—24no—
713D4—42no—
714D4—42no—
715D4—42no—
716D4—42no—
717D4—42no—
718D4—42no—
719C2×C4—24no—
720C2×C4—22no—
721C2×C4—22no—
722C2×C4—22no—
723C2×C4—22no—
724C2×C4—22no—
725C2×C4—22no—
726C2×C4—41no—
727C2×C4—41no—
728C2×C4—42no—
729C2×C4—42no—
730C2×C4—42no—
731C2×C4—41no—
732C2×C4—41no—
733C2×C4—41no—
734C2×C4—42no—
735C2×C4—41no—
736C2×C4—42no—
737C2×C4—42no—
738C2×C4—41no—
739C2×C4—41no—
740C2×C4—42no—
741C2×C4—42no—
742C2×C4—42no—
743C2×C4—42no—
744C2×C4—42no—
745C2×C4—42no—
746C2×C4—81no—
747C2×C4—81no—
748C2×C4—81no—
749C2×C4—81no—
750C2×C4—81no—
751C2×C4—81no—
752C2×C4—81no—
753C2×C4—81no—
754C2×C4C2×C11×C22⋊C411yescharacteristic
755C2×C4C2×C11×C4⋊C411yescharacteristic
756C2×C4C11×#11711yescharacteristic
757C2×C4C4×D4×C1111yescharacteristic
758C2×C4C4×D4×C1111yescharacteristic
759C2×C4C4×D4×C1111yescharacteristic
760C2×C4C11×#12011yescharacteristic
761C2×C4C11×#12111yescharacteristic
762C2×C4C11×#12111yescharacteristic
763C2×C4C11×#12111yescharacteristic
764C2×C4C11×#12111yescharacteristic
765C2×C4C11×#12111yescharacteristic
766C2×C4C11×#12111yescharacteristic
767C2×C4C11×C22⋊Q811yescharacteristic
768C2×C4C11×C22⋊Q811yescharacteristic
769C2×C4C11×C22⋊Q811yescharacteristic
770C2×C4C11×C22⋊Q811yescharacteristic
771C2×C4C11×C22⋊Q811yescharacteristic
772C2×C4C11×#12311yescharacteristic
773C2×C4C11×#12311yescharacteristic
774C2×C4C11×#12311yescharacteristic
775C2×C4C11×#12311yescharacteristic
776C2×C4C11×#12311yescharacteristic
777C2×C4C11×#12411yescharacteristic
778C2×C4C11×#12411yescharacteristic
779C2×C4C11×#12611yescharacteristic
780C2×C4C11×#12611yescharacteristic
781C2×C4C11×#12711yescharacteristic
782C8—42no—
783C8—42no—
784C22—44no—
785C22—44no—
786C22—44no—
787C22—82no—
788C22—82no—
789C22—82no—
790C22—82no—
791C22—82no—
792C22—82no—
793C22—82no—
794C22—82no—
795C22—82no—
796C22—82no—
797C22—82no—
798C22—82no—
799C22C11×#38511yescharacteristic
800C22C11×#38611yescharacteristic
801C22C11×#38811yescharacteristic
802C22C11×#39211yescharacteristic
803C22C11×#39311yescharacteristic
804C22C11×#39411yescharacteristic
805C22C11×#39611yescharacteristic
806C22C4×C11×D811yescharacteristic
807C22C4×C11×SD1611yescharacteristic
808C22C11×#44011yescharacteristic
809C22C11×#44211yescharacteristic
810C22C11×#44711yescharacteristic
811C22C11×#44711yescharacteristic
812C22C11×#44811yescharacteristic
813C22C11×#44911yescharacteristic
814C22C11×#44911yescharacteristic
815C22C11×#44911yescharacteristic
816C22C11×#45011yescharacteristic
817C22C11×#45211yescharacteristic
818C22C11×#45911yescharacteristic
819C22C11×#46011yescharacteristic
820C22C11×#46311yescharacteristic
821C22C11×#46411yescharacteristic
822C22C11×#46511yescharacteristic
823C22C11×#46611yescharacteristic
824C22C11×#46811yescharacteristic
825C22C11×#46911yescharacteristic
826C22C11×#47411yescharacteristic
827C22C11×#47611yescharacteristic
828C22C11×#47811yescharacteristic
829C22C11×#47811yescharacteristic
830C22C11×#48611yescharacteristic
831C22C11×#48811yescharacteristic
832C22C11×#48911yescharacteristic
833C22C11×#49011yescharacteristic
834C4—44no—
835C4—42no—
836C4—42no—
837C4—82no—
838C4—82no—
839C4C11×#38011yescharacteristic
840C4C11×#38511yescharacteristic
841C4C11×#38811yescharacteristic
842C4C11×#39011yescharacteristic
843C4C11×#39411yescharacteristic
844C4C11×#39611yescharacteristic
845C4C11×#39711yescharacteristic
846C4C11×#39911yescharacteristic
847C2—84no—
848C2C11×#143911yescharacteristic
849C2C11×#186211yescharacteristic
850C2C11×#186411yescharacteristic
851C2C11×#187911yescharacteristic
852C2C11×#188011yescharacteristic
853C2C11×#193411yescharacteristic
854C2C11×#193611yescharacteristic
855C2C11×#199911yescharacteristic
856C2C11×#200011yescharacteristic
857C2C11×#202311yescharacteristic
858C2C11×#202511yescharacteristic
859C2C11×#204111yescharacteristic
860C2C11×#204211yescharacteristic
861C2C11×#206511yescharacteristic
862C2C11×#206711yescharacteristic
subgroupG/H
center, socleC24×C11C2×D4
commutatorC22×C4C22×C4×C11
Frattini, cosocleC23×C4C23×C11
prime radicalC23×D4×C11C22
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C24×C11 ◁ C22×C42×C11 ◁ G

Complements

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

NH ≅ G/Ntype
4. C2×C11×#389C2semidirect
5. C2×C11×#340C2semidirect
6. C2×C11×#340C2semidirect
7. C2×C11×#336C2semidirect
23. C2×C11×#102C4semidirect
103. #11066C11direct (N × H)
147. C2×D4×C11C4⋊C4semidirect
223. C11×C4⋊C4C22⋊C4semidirect
233. C2×#389C2×C11semidirect
234. C2×#340C2×C11semidirect
235. C2×#340C2×C11semidirect
236. C2×#336C2×C11semidirect
375. C2×#102C4×C11semidirect
577. C2×D4C11×C4⋊C4semidirect
653. C4⋊C4C11×C22⋊C4semidirect
660. C11#11066direct (N × H)

Maximal subgroups

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

subgroupindex
C22×C11×#1022
C2×C11×#3902
C2×C11×#3892
C2×C11×#3402
C2×C11×#3362
#1106611