Finite Group Databasebeta

← C11×#24762 #14601955

Subgroups — C11×#24762 #14601955

Order 2816.

1060 conjugacy classes of subgroups.

The subgroup lattice has 800 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C11×#469C211yesmaximal, characteristic, complemented
2C2×C11×#466C211yesmaximal, characteristic, complemented
3C2×C11×#459C211yesmaximal, characteristic, complemented
4C2×C11×#424C211yesmaximal, characteristic, complemented
5C11×#2619C211yesmaximal, characteristic, complemented
6C11×#2324C211yesmaximal, characteristic, complemented
7C11×#2067C211yesmaximal, characteristic, complemented
8C11×#2065C211yesmaximal, characteristic, complemented
9C11×#2054C211yesmaximal, characteristic, complemented
10C11×#2054C211yesmaximal, characteristic, complemented
11C11×#1982C211yesmaximal, characteristic, complemented
12C11×#1949C211yesmaximal, characteristic, complemented
13C11×#1895C211yesmaximal, characteristic, complemented
14C11×#1893C211yesmaximal, characteristic, complemented
15C11×#1804C211yesmaximal, characteristic, complemented
16C22×C11×D8C2211yescharacteristic
17C22×C11×D8C2211yescharacteristic
18C22×C11×M16C2211yescharacteristic
19C23×C8×C11C2211yescharacteristic
20C2×C11×#127C2211yescharacteristic
21C2×C11×#121C2211yescharacteristic
22C2×C11×#121C2211yescharacteristic
23C2×C11×#121C2211yescharacteristic
24C2×C4×D4×C11C2211yescharacteristic
25C2×C11×#117C2211yescharacteristic
26C11×#469—24no—
27C11×#466—24no—
28C11×#459—24no—
29C2×C11×#107C2211yescharacteristic
30C2×C11×#106C2211yescharacteristic
31C11×#424—24no—
32C2×C11×C4⋊C8C2211yescharacteristic
33C2×C11×C4⋊C8C2211yescharacteristic
34C2×C11×C4⋊C8C2211yescharacteristic
35C2×C11×C4⋊C8C2211yescharacteristic
36C2×C11×#102C2211yescharacteristic
37C2×C11×#102C2211yescharacteristic
38C2×C11×#102C2211yescharacteristic
39C2×C11×#102C2211yescharacteristic
40C2×C11×#102C2211yescharacteristic
41C2×C11×#102C2211yescharacteristic
42C2×C11×#102C2211yescharacteristic
43C2×C11×#102C2211yescharacteristic
44C11×#394—21no—
45C11×#394—21no—
46C11×#392—21no—
47C11×#392—21no—
48C11×#390—21no—
49C11×#390C2211yescharacteristic
50C11×#390C2211yescharacteristic
51C11×#390C2211yescharacteristic
52C11×#389C2211yescharacteristic
53C11×#388—21no—
54C11×#386—21no—
55C11×#385—21no—
56C11×#382C2211yescharacteristic
57C11×#380C2211yescharacteristic
58C4×C11×C4⋊C4C2211yescharacteristic
59C11×#340C2211yescharacteristic
60C11×#340C2211yescharacteristic
61C11×#340C2211yescharacteristic
62C11×#340C2211yescharacteristic
63C22×D4×C11—21no—
64C22×D4×C11—21no—
65C22×D4×C11—21no—
66C22×D4×C11—21no—
67C22×D4×C11—21no—
68C22×D4×C11C2311yescharacteristic
69C22×D4×C11C2311yescharacteristic
70C22×D4×C11C2311yescharacteristic
71C23×C4×C11—21no—
72C23×C4×C11C2311yescharacteristic
73C2×C11×D8—22no—
74C2×C11×D8—22no—
75C2×C11×D8—22no—
76C2×C11×D8—22no—
77C2×C11×D8—41no—
78C2×C11×D8—41no—
79C2×C11×M16—22no—
80C2×C11×M16—22no—
81C2×C11×M16—41no—
82C22×C8×C11—22no—
83C22×C8×C11—22no—
84C22×C8×C11—41no—
85C22×C8×C11C2311yescharacteristic
86C22×C8×C11C2311yescharacteristic
87C22×C8×C11C2311yescharacteristic
88C22×C8×C11C2311yescharacteristic
89C11×#127—22no—
90C11×#127—22no—
91C11×#121—22no—
92C11×#121—22no—
93C11×#121—22no—
94C11×#121—22no—
95C11×#121—22no—
96C11×#121D414yescomplemented
97C4×D4×C11—22no—
98C4×D4×C11—22no—
99C11×#117—22no—
100C11×#117—22no—
101C2×C11×C4⋊C4—21no—
102C2×C11×C4⋊C4D411yescharacteristic
103C2×C11×C4⋊C4D411yescharacteristic
104C2×C11×C4⋊C4C2311yescharacteristic
105C2×C11×C4⋊C4C2311yescharacteristic
106C2×C11×C4⋊C4C2311yescharacteristic
107C2×C11×C4⋊C4C2311yescharacteristic
108C2×C11×C4⋊C4C2311yescharacteristic
109C2×C11×C22⋊C4—21no—
110C2×C11×C22⋊C4—21no—
111C2×C11×C22⋊C4—21no—
112C2×C11×C22⋊C4—21no—
113C2×C11×C22⋊C4—21no—
114C2×C11×C22⋊C4—21no—
115C2×C11×C22⋊C4—21no—
116C2×C11×C22⋊C4—21no—
117C2×C11×C22⋊C4—21no—
118C2×C11×C22⋊C4—21no—
119C2×C11×C22⋊C4—21no—
120C2×C11×C22⋊C4D411yescharacteristic
121C2×C11×C22⋊C4D411yescharacteristic
122C2×C42×C11—21no—
123C2×C42×C11C2311yescharacteristic
124C2×C42×C11C2311yescharacteristic
125C11×#107—22no—
126C11×#106—22no—
127C11×C4⋊C8—22no—
128C11×C4⋊C8—22no—
129C11×C4⋊C8—22no—
130C11×C4⋊C8D414yescomplemented
131C11×#102—22no—
132C11×#102—22no—
133C11×#102—22no—
134C11×#102—22no—
135C11×#102—22no—
136C11×#102—22no—
137C11×#102—41no—
138C11×#102—41no—
139C11×#95—21no—
140C11×#95—21no—
141C11×#95—21no—
142C11×#95—21no—
143C11×#95—21no—
144#24762C1111yesmaximal, characteristic, direct product factor, Sylow
145C24×C11—21no—
146C24×C11—21no—
147C24×C11—21no—
148C24×C11C2×D411yescharacteristic
149C2×D4×C11—24no—
150C2×D4×C11—21no—
151C2×D4×C11—21no—
152C2×D4×C11—21no—
153C2×D4×C11—21no—
154C2×D4×C11—21no—
155C2×D4×C11—21no—
156C2×D4×C11—21no—
157C2×D4×C11—21no—
158C2×D4×C11—21no—
159C2×D4×C11—21no—
160C2×D4×C11—21no—
161C2×D4×C11—21no—
162C2×D4×C11—21no—
163C2×D4×C11—21no—
164C2×D4×C11—21no—
165C2×D4×C11—21no—
166C2×D4×C11—21no—
167C2×D4×C11—42no—
168C2×D4×C11—42no—
169C2×D4×C11—42no—
170C2×D4×C11—42no—
171C2×D4×C11—81no—
172C2×D4×C11—81no—
173C2×D4×C11—81no—
174C2×D4×C11—81no—
175C2×D4×C11—81no—
176C2×D4×C11—81no—
177C2×D4×C11—81no—
178C2×D4×C11—81no—
179C2×D4×C11—81no—
180C2×D4×C11—81no—
181C2×D4×C11C2×D412yes—
182C22×C4×C11—21no—
183C22×C4×C11—21no—
184C22×C4×C11—21no—
185C22×C4×C11—21no—
186C22×C4×C11—21no—
187C22×C4×C11—21no—
188C22×C4×C11—21no—
189C22×C4×C11—21no—
190C22×C4×C11—21no—
191C22×C4×C11—42no—
192C22×C4×C11—81no—
193C22×C4×C11—81no—
194C22×C4×C11C2×D411yescharacteristic
195C22×C4×C11C2×D411yescharacteristic
196C22×C4×C11C2×D411yescharacteristic
197C22×C4×C11C2×D411yescharacteristic
198C22×C4×C11C2×D411yescharacteristic
199C22×C4×C11C2×D412yes—
200C22×C4×C11#4112yes—
201C22×C4×C11C2411yescharacteristic
202C11×D8—44no—
203C11×D8—44no—
204C11×M16—44no—
205C2×C8×C11—21no—
206C2×C8×C11—21no—
207C2×C8×C11—21no—
208C2×C8×C11—21no—
209C2×C8×C11—21no—
210C2×C8×C11—21no—
211C2×C8×C11—21no—
212C2×C8×C11—21no—
213C2×C8×C11—21no—
214C2×C8×C11—21no—
215C2×C8×C11—44no—
216C2×C8×C11C2×D412yes—
217C2×C8×C11C2×D412yes—
218C11×C4⋊C4—22no—
219C11×C4⋊C4—22no—
220C11×C4⋊C4—21no—
221C11×C4⋊C4—21no—
222C11×C4⋊C4—21no—
223C11×C4⋊C4—21no—
224C11×C4⋊C4—21no—
225C11×C4⋊C4—21no—
226C11×C4⋊C4—21no—
227C11×C4⋊C4—21no—
228C11×C4⋊C4—21no—
229C11×C4⋊C4—81no—
230C11×C4⋊C4C2×D412yes—
231C11×C22⋊C4—24no—
232C11×C22⋊C4—22no—
233C11×C22⋊C4—22no—
234C11×C22⋊C4—42no—
235C11×C22⋊C4—42no—
236C11×C22⋊C4—42no—
237C11×C22⋊C4—81no—
238C11×C22⋊C4—81no—
239C11×C22⋊C4—81no—
240C11×C22⋊C4—81no—
241C11×C22⋊C4—81no—
242C11×C22⋊C4—81no—
243C11×C22⋊C4—81no—
244C42×C11—21no—
245C42×C11—21no—
246C42×C11—81no—
247C42×C11C2×D412yes—
248C42×C11#4112yes—
249C2×#469C2×C1111yescharacteristic, complemented
250C2×#466C2×C1111yescharacteristic, complemented
251C2×#459C2×C1111yescharacteristic, complemented
252C2×#424C2×C1111yescharacteristic, complemented
253#2619C2×C1111yescharacteristic, complemented
254#2324C2×C1111yescharacteristic, complemented
255#2067C2×C1111yescharacteristic, complemented
256#2065C2×C1111yescharacteristic, complemented
257#2054C2×C1111yescharacteristic, complemented
258#2054C2×C1111yescharacteristic, complemented
259#1982C2×C1111yescharacteristic, complemented
260#1949C2×C1111yescharacteristic, complemented
261#1895C2×C1111yescharacteristic, complemented
262#1893C2×C1111yescharacteristic, complemented
263#1804C2×C1111yescharacteristic, complemented
264C23×C11—21no—
265C23×C11—21no—
266C23×C11—21no—
267C23×C11—21no—
268C23×C11—21no—
269C23×C11—21no—
270C23×C11—22no—
271C23×C11—41no—
272C23×C11—41no—
273C23×C11—41no—
274C23×C11—41no—
275C23×C11—41no—
276C23×C11—41no—
277C23×C11—41no—
278C23×C11—41no—
279C23×C11—41no—
280C23×C11—41no—
281C23×C11—41no—
282C23×C11—41no—
283C23×C11—41no—
284C23×C11—41no—
285C23×C11—41no—
286C23×C11—41no—
287C23×C11—41no—
288C23×C11—41no—
289C23×C11—41no—
290C23×C11—41no—
291C23×C11#12112yes—
292C23×C11C22×D411yescharacteristic
293D4×C11—22no—
294D4×C11—22no—
295D4×C11—41no—
296D4×C11—41no—
297D4×C11—41no—
298D4×C11—41no—
299D4×C11—41no—
300D4×C11—41no—
301D4×C11—41no—
302D4×C11—41no—
303D4×C11—41no—
304D4×C11—41no—
305D4×C11—84no—
306D4×C11—84no—
307D4×C11—84no—
308D4×C11—84no—
309D4×C11—84no—
310C2×C4×C11—21no—
311C2×C4×C11—21no—
312C2×C4×C11—21no—
313C2×C4×C11—21no—
314C2×C4×C11—21no—
315C2×C4×C11—21no—
316C2×C4×C11—22no—
317C2×C4×C11—22no—
318C2×C4×C11—22no—
319C2×C4×C11—22no—
320C2×C4×C11—21no—
321C2×C4×C11—21no—
322C2×C4×C11—22no—
323C2×C4×C11—21no—
324C2×C4×C11—21no—
325C2×C4×C11—21no—
326C2×C4×C11—21no—
327C2×C4×C11—41no—
328C2×C4×C11—41no—
329C2×C4×C11—41no—
330C2×C4×C11—41no—
331C2×C4×C11—41no—
332C2×C4×C11—41no—
333C2×C4×C11—41no—
334C2×C4×C11—41no—
335C2×C4×C11—41no—
336C2×C4×C11—41no—
337C2×C4×C11—41no—
338C2×C4×C11—41no—
339C2×C4×C11—41no—
340C2×C4×C11—41no—
341C2×C4×C11—84no—
342C2×C4×C11#12112yes—
343C2×C4×C11#12112yes—
344C2×C4×C11#12112yes—
345C2×C4×C11C22×D411yescharacteristic
346C2×C4×C11C22×D411yescharacteristic
347C2×C4×C11C2×#4111yescharacteristic
348C2×C4×C11C2×#4111yescharacteristic
349C2×C4×C11H(5,𝔽2)11yescharacteristic
350C2×C4×C112−1+411yescharacteristic
351C8×C11—22no—
352C8×C11—22no—
353C8×C11—41no—
354C8×C11—41no—
355C22×D8C22×C1111yescharacteristic
356C22×D8C22×C1111yescharacteristic
357C22×M16C22×C1111yescharacteristic
358C23×C8C22×C1111yescharacteristic
359C2×#127C22×C1111yescharacteristic
360C2×#121C22×C1111yescharacteristic
361C2×#121C22×C1111yescharacteristic
362C2×#121C22×C1111yescharacteristic
363C2×C4×D4C22×C1111yescharacteristic
364C2×#117C22×C1111yescharacteristic
365#469—24no—
366#466—24no—
367#459—24no—
368C2×#107C22×C1111yescharacteristic
369C2×#106C22×C1111yescharacteristic
370#424—24no—
371C2×C4⋊C8C22×C1111yescharacteristic
372C2×C4⋊C8C22×C1111yescharacteristic
373C2×C4⋊C8C22×C1111yescharacteristic
374C2×C4⋊C8C22×C1111yescharacteristic
375C2×#102C22×C1111yescharacteristic
376C2×#102C22×C1111yescharacteristic
377C2×#102C22×C1111yescharacteristic
378C2×#102C22×C1111yescharacteristic
379C2×#102C22×C1111yescharacteristic
380C2×#102C22×C1111yescharacteristic
381C2×#102C22×C1111yescharacteristic
382C2×#102C22×C1111yescharacteristic
383#394—21no—
384#394—21no—
385#392—21no—
386#392—21no—
387#390—21no—
388#390C22×C1111yescharacteristic
389#390C22×C1111yescharacteristic
390#390C22×C1111yescharacteristic
391#389C22×C1111yescharacteristic
392#388—21no—
393#386—21no—
394#385—21no—
395#382C22×C1111yescharacteristic
396#380C22×C1111yescharacteristic
397C4×C4⋊C4C22×C1111yescharacteristic
398#340C22×C1111yescharacteristic
399#340C22×C1111yescharacteristic
400#340C22×C1111yescharacteristic
401#340C22×C1111yescharacteristic
402C22×C11—22no—
403C22×C11—22no—
404C22×C11—22no—
405C22×C11—41no—
406C22×C11—41no—
407C22×C11—41no—
408C22×C11—41no—
409C22×C11—42no—
410C22×C11—42no—
411C22×C11—42no—
412C22×C11—81no—
413C22×C11—81no—
414C22×C11—81no—
415C22×C11—81no—
416C22×C11—81no—
417C22×C11—81no—
418C22×C11—81no—
419C22×C11—81no—
420C22×C11—81no—
421C22×C11—81no—
422C22×C11—81no—
423C22×C11—81no—
424C22×C11—81no—
425C22×C11—81no—
426C22×C11—81no—
427C22×C11—81no—
428C22×C11—81no—
429C22×C11—81no—
430C22×C11C2×#12111yescharacteristic
431C22×C11C2×#12111yescharacteristic
432C22×C11#53711yescharacteristic
433C22×C11#57611yescharacteristic
434C22×C11#57611yescharacteristic
435C22×C11#57611yescharacteristic
436C22×C11#57711yescharacteristic
437C4×C11—22no—
438C4×C11—22no—
439C4×C11—22no—
440C4×C11—42no—
441C4×C11—41no—
442C4×C11—41no—
443C4×C11—81no—
444C4×C11—81no—
445C4×C11—81no—
446C4×C11—81no—
447C4×C11D4211yescharacteristic
448C4×C11#54711yescharacteristic
449C4×C11#54811yescharacteristic
450C4×C11#55311yescharacteristic
451C22×D4—21no—
452C22×D4—21no—
453C22×D4—21no—
454C22×D4—21no—
455C22×D4—21no—
456C22×D4C23×C1111yescharacteristic
457C22×D4C23×C1111yescharacteristic
458C22×D4C23×C1111yescharacteristic
459C23×C4—21no—
460C23×C4C23×C1111yescharacteristic
461C2×D8—22no—
462C2×D8—22no—
463C2×D8—22no—
464C2×D8—22no—
465C2×D8—41no—
466C2×D8—41no—
467C2×M16—22no—
468C2×M16—22no—
469C2×M16—41no—
470C22×C8—22no—
471C22×C8—22no—
472C22×C8—41no—
473C22×C8C23×C1111yescharacteristic
474C22×C8C23×C1111yescharacteristic
475C22×C8C23×C1111yescharacteristic
476C22×C8C23×C1111yescharacteristic
477#127—22no—
478#127—22no—
479#121—22no—
480#121—22no—
481#121—22no—
482#121—22no—
483#121—22no—
484#121D4×C1114yescomplemented
485C4×D4—22no—
486C4×D4—22no—
487#117—22no—
488#117—22no—
489C2×C4⋊C4—21no—
490C2×C4⋊C4D4×C1111yescharacteristic
491C2×C4⋊C4D4×C1111yescharacteristic
492C2×C4⋊C4C23×C1111yescharacteristic
493C2×C4⋊C4C23×C1111yescharacteristic
494C2×C4⋊C4C23×C1111yescharacteristic
495C2×C4⋊C4C23×C1111yescharacteristic
496C2×C4⋊C4C23×C1111yescharacteristic
497C2×C22⋊C4—21no—
498C2×C22⋊C4—21no—
499C2×C22⋊C4—21no—
500C2×C22⋊C4—21no—
501C2×C22⋊C4—21no—
502C2×C22⋊C4—21no—
503C2×C22⋊C4—21no—
504C2×C22⋊C4—21no—
505C2×C22⋊C4—21no—
506C2×C22⋊C4—21no—
507C2×C22⋊C4—21no—
508C2×C22⋊C4D4×C1111yescharacteristic
509C2×C22⋊C4D4×C1111yescharacteristic
510C2×C42—21no—
511C2×C42C23×C1111yescharacteristic
512C2×C42C23×C1111yescharacteristic
513#107—22no—
514#106—22no—
515C4⋊C8—22no—
516C4⋊C8—22no—
517C4⋊C8—22no—
518C4⋊C8D4×C1114yescomplemented
519#102—22no—
520#102—22no—
521#102—22no—
522#102—22no—
523#102—22no—
524#102—22no—
525#102—41no—
526#102—41no—
527#95—21no—
528#95—21no—
529#95—21no—
530#95—21no—
531#95—21no—
532C2×C11—42no—
533C2×C11—82no—
534C2×C11—161no—
535C2×C11—161no—
536C2×C11#241611yescharacteristic
537C2×C11#304111yescharacteristic
538C2×C11#304511yescharacteristic
539C2×C11#305811yescharacteristic
540C2×C11#306211yescharacteristic
541C2×C11#325711yescharacteristic
542C2×C11#325911yescharacteristic
543C24—21no—
544C24—21no—
545C24—21no—
546C24C2×D4×C1111yescharacteristic
547C2×D4—24no—
548C2×D4—21no—
549C2×D4—21no—
550C2×D4—21no—
551C2×D4—21no—
552C2×D4—21no—
553C2×D4—21no—
554C2×D4—21no—
555C2×D4—21no—
556C2×D4—21no—
557C2×D4—21no—
558C2×D4—21no—
559C2×D4—21no—
560C2×D4—21no—
561C2×D4—21no—
562C2×D4—21no—
563C2×D4—21no—
564C2×D4—21no—
565C2×D4—42no—
566C2×D4—42no—
567C2×D4—42no—
568C2×D4—42no—
569C2×D4—81no—
570C2×D4—81no—
571C2×D4—81no—
572C2×D4—81no—
573C2×D4—81no—
574C2×D4—81no—
575C2×D4—81no—
576C2×D4—81no—
577C2×D4—81no—
578C2×D4—81no—
579C2×D4C2×D4×C1112yes—
580C22×C4—21no—
581C22×C4—21no—
582C22×C4—21no—
583C22×C4—21no—
584C22×C4—21no—
585C22×C4—21no—
586C22×C4—21no—
587C22×C4—21no—
588C22×C4—21no—
589C22×C4—42no—
590C22×C4—81no—
591C22×C4—81no—
592C22×C4C2×D4×C1111yescharacteristic
593C22×C4C2×D4×C1111yescharacteristic
594C22×C4C2×D4×C1111yescharacteristic
595C22×C4C2×D4×C1111yescharacteristic
596C22×C4C2×D4×C1111yescharacteristic
597C22×C4C2×D4×C1112yes—
598C22×C4C11×#4112yes—
599C22×C4C24×C1111yescharacteristic
600D8—44no—
601D8—44no—
602M16—44no—
603C2×C8—21no—
604C2×C8—21no—
605C2×C8—21no—
606C2×C8—21no—
607C2×C8—21no—
608C2×C8—21no—
609C2×C8—21no—
610C2×C8—21no—
611C2×C8—21no—
612C2×C8—21no—
613C2×C8—44no—
614C2×C8C2×D4×C1112yes—
615C2×C8C2×D4×C1112yes—
616C4⋊C4—22no—
617C4⋊C4—22no—
618C4⋊C4—21no—
619C4⋊C4—21no—
620C4⋊C4—21no—
621C4⋊C4—21no—
622C4⋊C4—21no—
623C4⋊C4—21no—
624C4⋊C4—21no—
625C4⋊C4—21no—
626C4⋊C4—21no—
627C4⋊C4—81no—
628C4⋊C4C2×D4×C1112yes—
629C22⋊C4—24no—
630C22⋊C4—22no—
631C22⋊C4—22no—
632C22⋊C4—42no—
633C22⋊C4—42no—
634C22⋊C4—42no—
635C22⋊C4—81no—
636C22⋊C4—81no—
637C22⋊C4—81no—
638C22⋊C4—81no—
639C22⋊C4—81no—
640C22⋊C4—81no—
641C22⋊C4—81no—
642C42—21no—
643C42—21no—
644C42—81no—
645C42C2×D4×C1112yes—
646C42C11×#4112yes—
647C11#2476211yescharacteristic, direct product factor, Sylow
648C23—21no—
649C23—21no—
650C23—21no—
651C23—21no—
652C23—21no—
653C23—21no—
654C23—22no—
655C23—41no—
656C23—41no—
657C23—41no—
658C23—41no—
659C23—41no—
660C23—41no—
661C23—41no—
662C23—41no—
663C23—41no—
664C23—41no—
665C23—41no—
666C23—41no—
667C23—41no—
668C23—41no—
669C23—41no—
670C23—41no—
671C23—41no—
672C23—41no—
673C23—41no—
674C23—41no—
675C23C11×#12112yes—
676C23C22×D4×C1111yescharacteristic
677D4—22no—
678D4—22no—
679D4—41no—
680D4—41no—
681D4—41no—
682D4—41no—
683D4—41no—
684D4—41no—
685D4—41no—
686D4—41no—
687D4—41no—
688D4—41no—
689D4—84no—
690D4—84no—
691D4—84no—
692D4—84no—
693D4—84no—
694C2×C4—21no—
695C2×C4—21no—
696C2×C4—21no—
697C2×C4—21no—
698C2×C4—21no—
699C2×C4—21no—
700C2×C4—22no—
701C2×C4—22no—
702C2×C4—22no—
703C2×C4—22no—
704C2×C4—21no—
705C2×C4—21no—
706C2×C4—22no—
707C2×C4—21no—
708C2×C4—21no—
709C2×C4—21no—
710C2×C4—21no—
711C2×C4—41no—
712C2×C4—41no—
713C2×C4—41no—
714C2×C4—41no—
715C2×C4—41no—
716C2×C4—41no—
717C2×C4—41no—
718C2×C4—41no—
719C2×C4—41no—
720C2×C4—41no—
721C2×C4—41no—
722C2×C4—41no—
723C2×C4—41no—
724C2×C4—41no—
725C2×C4—84no—
726C2×C4C11×#12112yes—
727C2×C4C11×#12112yes—
728C2×C4C11×#12112yes—
729C2×C4C22×D4×C1111yescharacteristic
730C2×C4C22×D4×C1111yescharacteristic
731C2×C4C2×C11×#4111yescharacteristic
732C2×C4C2×C11×#4111yescharacteristic
733C2×C4C11×H(5,𝔽2)11yescharacteristic
734C2×C4C11×2−1+411yescharacteristic
735C8—22no—
736C8—22no—
737C8—41no—
738C8—41no—
739C22—22no—
740C22—22no—
741C22—22no—
742C22—41no—
743C22—41no—
744C22—41no—
745C22—41no—
746C22—42no—
747C22—42no—
748C22—42no—
749C22—81no—
750C22—81no—
751C22—81no—
752C22—81no—
753C22—81no—
754C22—81no—
755C22—81no—
756C22—81no—
757C22—81no—
758C22—81no—
759C22—81no—
760C22—81no—
761C22—81no—
762C22—81no—
763C22—81no—
764C22—81no—
765C22—81no—
766C22—81no—
767C22C2×C11×#12111yescharacteristic
768C22C2×C11×#12111yescharacteristic
769C22C11×#53711yescharacteristic
770C22C11×#57611yescharacteristic
771C22C11×#57611yescharacteristic
772C22C11×#57611yescharacteristic
773C22C11×#57711yescharacteristic
774C4—22no—
775C4—22no—
776C4—22no—
777C4—42no—
778C4—41no—
779C4—41no—
780C4—81no—
781C4—81no—
782C4—81no—
783C4—81no—
784C4D42×C1111yescharacteristic
785C4C11×#54711yescharacteristic
786C4C11×#54811yescharacteristic
787C4C11×#55311yescharacteristic
788C2—42no—
789C2—82no—
790C2—161no—
791C2—161no—
792C2C11×#241611yescharacteristic
793C2C11×#304111yescharacteristic
794C2C11×#304511yescharacteristic
795C2C11×#305811yescharacteristic
796C2C11×#306211yescharacteristic
797C2C11×#325711yescharacteristic
798C2C11×#325911yescharacteristic
subgroupG/H
center, socleC23×C11C22×D4
commutator, Frattini, cosocleC22×C4C24×C11
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23×C11 ◁ C2×C11×#117 ◁ G

Complements

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

NH ≅ G/Ntype
1. C2×C11×#469C2semidirect
2. C2×C11×#466C2semidirect
3. C2×C11×#459C2semidirect
4. C2×C11×#424C2semidirect
5. C11×#2619C2semidirect
6. C11×#2324C2semidirect
7. C11×#2067C2semidirect
8. C11×#2065C2semidirect
9. C11×#2054C2semidirect
10. C11×#2054C2semidirect
11. C11×#1982C2semidirect
12. C11×#1949C2semidirect
13. C11×#1895C2semidirect
14. C11×#1893C2semidirect
15. C11×#1804C2semidirect
96. C11×#121D4semidirect
130. C11×C4⋊C8D4semidirect
144. #24762C11direct (N × H)
249. C2×#469C2×C11semidirect
250. C2×#466C2×C11semidirect
251. C2×#459C2×C11semidirect
252. C2×#424C2×C11semidirect
253. #2619C2×C11semidirect
254. #2324C2×C11semidirect
255. #2067C2×C11semidirect
256. #2065C2×C11semidirect
257. #2054C2×C11semidirect
258. #2054C2×C11semidirect
259. #1982C2×C11semidirect
260. #1949C2×C11semidirect
261. #1895C2×C11semidirect
262. #1893C2×C11semidirect
263. #1804C2×C11semidirect
484. #121D4×C11semidirect
518. C4⋊C8D4×C11semidirect
647. C11#24762direct (N × H)

Maximal subgroups

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

subgroupindex
C2×C11×#4692
C2×C11×#4662
C2×C11×#4592
C2×C11×#4242
C11×#26192
C11×#23242
C11×#20672
C11×#20652
C11×#20542
C11×#19822
C11×#19492
C11×#18952
C11×#18932
C11×#18042
#2476211