Finite Group Databasebeta

← C11×#24565 #14601758

Subgroups — C11×#24565 #14601758

Order 2816.

1040 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×#482C211yesmaximal, characteristic, complemented
2C2×C11×#408C211yesmaximal, characteristic, complemented
3C11×#2615C211yesmaximal, characteristic
4C11×#2311C211yesmaximal, characteristic, complemented
5C11×#2077C211yesmaximal, characteristic, complemented
6C11×#2076C211yesmaximal, characteristic, complemented
7C11×#2033C211yesmaximal, characteristic, complemented
8C11×#2033C211yesmaximal, characteristic, complemented
9C11×#1895C211yesmaximal, characteristic, complemented
10C11×#1893C211yesmaximal, characteristic, complemented
11C11×#1874C211yesmaximal, characteristic, complemented
12C11×#1852C211yesmaximal, characteristic, complemented
13C11×#1825C211yesmaximal, characteristic, complemented
14C11×#1809C211yesmaximal, characteristic, complemented
15C11×#1808C211yesmaximal, characteristic, complemented
16C22×C11×#41C2211yescharacteristic
17C22×C11×M16C2211yescharacteristic
18C23×C8×C11C2211yescharacteristic
19C2×C11×#121C2211yescharacteristic
20C2×C11×#121C2211yescharacteristic
21C2×C11×#121C2211yescharacteristic
22C2×C11×#117C2211yescharacteristic
23C22×C11×C4⋊C4C2211yescharacteristic
24C11×#482—24no—
25C2×C11×#107C2211yescharacteristic
26C2×C11×#107C2211yescharacteristic
27C2×C11×#107C2211yescharacteristic
28C2×C11×#106C2211yescharacteristic
29C2×C11×#102C2211yescharacteristic
30C2×C11×#102C2211yescharacteristic
31C2×C11×#102C2211yescharacteristic
32C2×C11×#102C2211yescharacteristic
33C11×#408—24no—
34C2×C11×C22⋊C8C2211yescharacteristic
35C2×C11×C22⋊C8C2211yescharacteristic
36C2×C11×C22⋊C8C2211yescharacteristic
37C2×C11×C22⋊C8C2211yescharacteristic
38C11×#393—21no—
39C11×#392—21no—
40C11×#392—21no—
41C11×#392—21no—
42C11×#391—21no—
43C11×#390—21no—
44C11×#386—21no—
45C11×#386—21no—
46C11×#380C2211yescharacteristic
47C11×#380C2211yescharacteristic
48C11×#380C2211yescharacteristic
49C11×#380C2211yescharacteristic
50C11×#380C2211yescharacteristic
51C11×#380C2211yescharacteristic
52C11×#380C2211yescharacteristic
53C11×#340C2211yescharacteristic
54C11×#340C2211yescharacteristic
55C11×#340C2211yescharacteristic
56C11×#340C2211yescharacteristic
57C11×#340C2211yescharacteristic
58C11×#340C2211yescharacteristic
59C11×#340C2211yescharacteristic
60C11×#340C2211yescharacteristic
61C2×C11×#41—22no—
62C2×C11×#41—22no—
63C2×C11×#41—22no—
64C2×C11×#41—22no—
65C2×C11×#41—41no—
66C2×C11×#41—41no—
67C22×Q8×C11D411yescharacteristic
68C22×D4×C11—21no—
69C22×D4×C11—21no—
70C22×D4×C11—21no—
71C22×D4×C11D411yescharacteristic
72C22×D4×C11D411yescharacteristic
73C22×D4×C11D411yescharacteristic
74C22×D4×C11C2311yescharacteristic
75C23×C4×C11—21no—
76C23×C4×C11C2311yescharacteristic
77C23×C4×C11C2311yescharacteristic
78C23×C4×C11C2311yescharacteristic
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×#121—22no—
90C11×#121—22no—
91C11×#121—22no—
92C11×#121—22no—
93C11×#121—41no—
94C11×#121—41no—
95C11×#117—22no—
96C11×#117—22no—
97C2×C11×C4⋊C4—21no—
98C2×C11×C4⋊C4—41no—
99C2×C11×C4⋊C4—41no—
100C2×C11×C4⋊C4C2311yescharacteristic
101C2×C11×C4⋊C4C2311yescharacteristic
102C2×C11×C4⋊C4C2311yescharacteristic
103C2×C11×C4⋊C4C2311yescharacteristic
104C2×C11×C4⋊C4C2311yescharacteristic
105C2×C11×C4⋊C4C2311yescharacteristic
106C2×C11×C4⋊C4C2311yescharacteristic
107C2×C11×C22⋊C4—21no—
108C2×C11×C22⋊C4—21no—
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×C42×C11—21no—
119C11×#107—22no—
120C11×#107—41no—
121C11×#107—41no—
122C11×#106—22no—
123C11×#102—22no—
124C11×#102—22no—
125C11×#102—41no—
126C11×#102—41no—
127C11×C22⋊C8—22no—
128C11×C22⋊C8—22no—
129C11×C22⋊C8—22no—
130C11×C22⋊C8D414yescomplemented
131C11×#95—21no—
132C11×#95—21no—
133C11×#95—21no—
134C11×#95—21no—
135C11×#95—21no—
136C11×#95—21no—
137C11×#95—21no—
138#24565C1111yesmaximal, characteristic, direct product factor, Sylow
139C24×C11—21no—
140C24×C11C2×D411yescharacteristic
141C24×C11C2×D411yescharacteristic
142C24×C11C2×D411yescharacteristic
143C11×#41—44no—
144C11×#41—44no—
145C11×#41—44no—
146C11×#41—44no—
147C2×Q8×C11—22no—
148C2×Q8×C11—22no—
149C2×Q8×C11—41no—
150C2×D4×C11—22no—
151C2×D4×C11—22no—
152C2×D4×C11—22no—
153C2×D4×C11—22no—
154C2×D4×C11—22no—
155C2×D4×C11—22no—
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—41no—
163C2×D4×C11—41no—
164C2×D4×C11—41no—
165C2×D4×C11—42no—
166C2×D4×C11—42no—
167C2×D4×C11—42no—
168C2×D4×C11—81no—
169C2×D4×C11—81no—
170C2×D4×C11—81no—
171C2×D4×C11—81no—
172C2×D4×C11—81no—
173C2×D4×C11—81no—
174C22×C4×C11—21no—
175C22×C4×C11—21no—
176C22×C4×C11—21no—
177C22×C4×C11—21no—
178C22×C4×C11—21no—
179C22×C4×C11—21no—
180C22×C4×C11—21no—
181C22×C4×C11—21no—
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—21no—
192C22×C4×C11—21no—
193C22×C4×C11—21no—
194C22×C4×C11—21no—
195C22×C4×C11—42no—
196C22×C4×C11—81no—
197C22×C4×C11—81no—
198C22×C4×C11C2×D411yescharacteristic
199C22×C4×C11C2×D411yescharacteristic
200C22×C4×C11C2×D412yes—
201C22×C4×C11C2×D411yescharacteristic
202C22×C4×C11#4112yes—
203C22×C4×C11#4112yes—
204C22×C4×C11#4112yes—
205C22×C4×C11C2411yescharacteristic
206C11×M16—44no—
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—21no—
216C2×C8×C11—21no—
217C2×C8×C11—44no—
218C2×C8×C11C2×D412yes—
219C2×C8×C11C2×D412yes—
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—21no—
230C11×C4⋊C4—21no—
231C11×C4⋊C4—21no—
232C11×C4⋊C4—21no—
233C11×C4⋊C4—21no—
234C11×C4⋊C4—42no—
235C11×C22⋊C4—42no—
236C11×C22⋊C4—42no—
237C11×C22⋊C4—42no—
238C11×C22⋊C4—42no—
239C11×C22⋊C4—81no—
240C11×C22⋊C4—81no—
241C11×C22⋊C4—81no—
242C11×C22⋊C4—81no—
243C11×C22⋊C4—81no—
244C11×C22⋊C4—81no—
245C11×C22⋊C4—81no—
246C42×C11—42no—
247C2×#482C2×C1111yescharacteristic, complemented
248C2×#408C2×C1111yescharacteristic, complemented
249#2615C2×C1111yescharacteristic
250#2311C2×C1111yescharacteristic, complemented
251#2077C2×C1111yescharacteristic, complemented
252#2076C2×C1111yescharacteristic, complemented
253#2033C2×C1111yescharacteristic, complemented
254#2033C2×C1111yescharacteristic, complemented
255#1895C2×C1111yescharacteristic, complemented
256#1893C2×C1111yescharacteristic, complemented
257#1874C2×C1111yescharacteristic, complemented
258#1852C2×C1111yescharacteristic, complemented
259#1825C2×C1111yescharacteristic, complemented
260#1809C2×C1111yescharacteristic, complemented
261#1808C2×C1111yescharacteristic, complemented
262C23×C11—21no—
263C23×C11—21no—
264C23×C11—21no—
265C23×C11—21no—
266C23×C11—21no—
267C23×C11—21no—
268C23×C11—21no—
269C23×C11—21no—
270C23×C11—21no—
271C23×C11—21no—
272C23×C11—21no—
273C23×C11—21no—
274C23×C11—21no—
275C23×C11—21no—
276C23×C11—21no—
277C23×C11—21no—
278C23×C11—21no—
279C23×C11—21no—
280C23×C11—21no—
281C23×C11—41no—
282C23×C11—41no—
283C23×C11—41no—
284C23×C11—41no—
285C23×C11—41no—
286C23×C11—41no—
287C23×C11—41no—
288C23×C11#12112yes—
289C23×C11#12312yes—
290C23×C11C22×D411yescharacteristic
291Q8×C11—44no—
292D4×C11—44no—
293D4×C11—44no—
294D4×C11—44no—
295D4×C11—41no—
296D4×C11—41no—
297D4×C11—41no—
298D4×C11—41no—
299D4×C11—84no—
300D4×C11—84no—
301D4×C11—84no—
302C2×C4×C11—21no—
303C2×C4×C11—21no—
304C2×C4×C11—21no—
305C2×C4×C11—21no—
306C2×C4×C11—22no—
307C2×C4×C11—22no—
308C2×C4×C11—22no—
309C2×C4×C11—22no—
310C2×C4×C11—22no—
311C2×C4×C11—22no—
312C2×C4×C11—22no—
313C2×C4×C11—22no—
314C2×C4×C11—21no—
315C2×C4×C11—21no—
316C2×C4×C11—21no—
317C2×C4×C11—41no—
318C2×C4×C11—41no—
319C2×C4×C11—41no—
320C2×C4×C11—41no—
321C2×C4×C11—41no—
322C2×C4×C11—41no—
323C2×C4×C11—41no—
324C2×C4×C11—41no—
325C2×C4×C11—41no—
326C2×C4×C11—41no—
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—41no—
342C2×C4×C11—84no—
343C2×C4×C11#12112yes—
344C2×C4×C11#12312yes—
345C2×C4×C11C22×D411yescharacteristic
346C2×C4×C11C2×#4111yescharacteristic
347C2×C4×C11C2×#4111yescharacteristic
348C2×C4×C11C2×#4111yescharacteristic
349C2×C4×C11H(5,𝔽2)11yescharacteristic
350C2×C4×C11H(5,𝔽2)11yescharacteristic
351C8×C11—22no—
352C8×C11—22no—
353C8×C11—41no—
354C8×C11—41no—
355C22×#41C22×C1111yescharacteristic
356C22×M16C22×C1111yescharacteristic
357C23×C8C22×C1111yescharacteristic
358C2×#121C22×C1111yescharacteristic
359C2×#121C22×C1111yescharacteristic
360C2×#121C22×C1111yescharacteristic
361C2×#117C22×C1111yescharacteristic
362C22×C4⋊C4C22×C1111yescharacteristic
363#482—24no—
364C2×#107C22×C1111yescharacteristic
365C2×#107C22×C1111yescharacteristic
366C2×#107C22×C1111yescharacteristic
367C2×#106C22×C1111yescharacteristic
368C2×#102C22×C1111yescharacteristic
369C2×#102C22×C1111yescharacteristic
370C2×#102C22×C1111yescharacteristic
371C2×#102C22×C1111yescharacteristic
372#408—24no—
373C2×C22⋊C8C22×C1111yescharacteristic
374C2×C22⋊C8C22×C1111yescharacteristic
375C2×C22⋊C8C22×C1111yescharacteristic
376C2×C22⋊C8C22×C1111yescharacteristic
377#393—21no—
378#392—21no—
379#392—21no—
380#392—21no—
381#391—21no—
382#390—21no—
383#386—21no—
384#386—21no—
385#380C22×C1111yescharacteristic
386#380C22×C1111yescharacteristic
387#380C22×C1111yescharacteristic
388#380C22×C1111yescharacteristic
389#380C22×C1111yescharacteristic
390#380C22×C1111yescharacteristic
391#380C22×C1111yescharacteristic
392#340C22×C1111yescharacteristic
393#340C22×C1111yescharacteristic
394#340C22×C1111yescharacteristic
395#340C22×C1111yescharacteristic
396#340C22×C1111yescharacteristic
397#340C22×C1111yescharacteristic
398#340C22×C1111yescharacteristic
399#340C22×C1111yescharacteristic
400C22×C11—22no—
401C22×C11—22no—
402C22×C11—22no—
403C22×C11—22no—
404C22×C11—22no—
405C22×C11—22no—
406C22×C11—41no—
407C22×C11—41no—
408C22×C11—41no—
409C22×C11—41no—
410C22×C11—41no—
411C22×C11—41no—
412C22×C11—41no—
413C22×C11—41no—
414C22×C11—41no—
415C22×C11—41no—
416C22×C11—41no—
417C22×C11—41no—
418C22×C11—41no—
419C22×C11—41no—
420C22×C11—41no—
421C22×C11—81no—
422C22×C11—81no—
423C22×C11—81no—
424C22×C11—81no—
425C22×C11—81no—
426C22×C11—81no—
427C22×C11—81no—
428C22×C11C2×#12111yescharacteristic
429C22×C11C2×#12311yescharacteristic
430C22×C11#53411yescharacteristic
431C22×C11#57611yescharacteristic
432C22×C11#57611yescharacteristic
433C22×C11#57711yescharacteristic
434C22×C11#57811yescharacteristic
435C4×C11—22no—
436C4×C11—22no—
437C4×C11—41no—
438C4×C11—81no—
439C4×C11—81no—
440C4×C11—81no—
441C4×C11—81no—
442C4×C11—81no—
443C4×C11—81no—
444C4×C11—81no—
445C4×C11#54611yescharacteristic
446C4×C11#54611yescharacteristic
447C4×C11#55111yescharacteristic
448C4×C11#55111yescharacteristic
449C2×#41—22no—
450C2×#41—22no—
451C2×#41—22no—
452C2×#41—22no—
453C2×#41—41no—
454C2×#41—41no—
455C22×Q8D4×C1111yescharacteristic
456C22×D4—21no—
457C22×D4—21no—
458C22×D4—21no—
459C22×D4D4×C1111yescharacteristic
460C22×D4D4×C1111yescharacteristic
461C22×D4D4×C1111yescharacteristic
462C22×D4C23×C1111yescharacteristic
463C23×C4—21no—
464C23×C4C23×C1111yescharacteristic
465C23×C4C23×C1111yescharacteristic
466C23×C4C23×C1111yescharacteristic
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#121—22no—
478#121—22no—
479#121—22no—
480#121—22no—
481#121—41no—
482#121—41no—
483#117—22no—
484#117—22no—
485C2×C4⋊C4—21no—
486C2×C4⋊C4—41no—
487C2×C4⋊C4—41no—
488C2×C4⋊C4C23×C1111yescharacteristic
489C2×C4⋊C4C23×C1111yescharacteristic
490C2×C4⋊C4C23×C1111yescharacteristic
491C2×C4⋊C4C23×C1111yescharacteristic
492C2×C4⋊C4C23×C1111yescharacteristic
493C2×C4⋊C4C23×C1111yescharacteristic
494C2×C4⋊C4C23×C1111yescharacteristic
495C2×C22⋊C4—21no—
496C2×C22⋊C4—21no—
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×C42—21no—
507#107—22no—
508#107—41no—
509#107—41no—
510#106—22no—
511#102—22no—
512#102—22no—
513#102—41no—
514#102—41no—
515C22⋊C8—22no—
516C22⋊C8—22no—
517C22⋊C8—22no—
518C22⋊C8D4×C1114yescomplemented
519#95—21no—
520#95—21no—
521#95—21no—
522#95—21no—
523#95—21no—
524#95—21no—
525#95—21no—
526C2×C11—42no—
527C2×C11—42no—
528C2×C11—81no—
529C2×C11—161no—
530C2×C11#241211yescharacteristic
531C2×C11#306111yescharacteristic
532C2×C11#306211yescharacteristic
533C2×C11#309611yescharacteristic
534C2×C11#309811yescharacteristic
535C2×C11#319911yescharacteristic
536C2×C11#320111yescharacteristic
537C24—21no—
538C24C2×D4×C1111yescharacteristic
539C24C2×D4×C1111yescharacteristic
540C24C2×D4×C1111yescharacteristic
541#41—44no—
542#41—44no—
543#41—44no—
544#41—44no—
545C2×Q8—22no—
546C2×Q8—22no—
547C2×Q8—41no—
548C2×D4—22no—
549C2×D4—22no—
550C2×D4—22no—
551C2×D4—22no—
552C2×D4—22no—
553C2×D4—22no—
554C2×D4—21no—
555C2×D4—21no—
556C2×D4—21no—
557C2×D4—21no—
558C2×D4—21no—
559C2×D4—21no—
560C2×D4—41no—
561C2×D4—41no—
562C2×D4—41no—
563C2×D4—42no—
564C2×D4—42no—
565C2×D4—42no—
566C2×D4—81no—
567C2×D4—81no—
568C2×D4—81no—
569C2×D4—81no—
570C2×D4—81no—
571C2×D4—81no—
572C22×C4—21no—
573C22×C4—21no—
574C22×C4—21no—
575C22×C4—21no—
576C22×C4—21no—
577C22×C4—21no—
578C22×C4—21no—
579C22×C4—21no—
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—21no—
590C22×C4—21no—
591C22×C4—21no—
592C22×C4—21no—
593C22×C4—42no—
594C22×C4—81no—
595C22×C4—81no—
596C22×C4C2×D4×C1111yescharacteristic
597C22×C4C2×D4×C1111yescharacteristic
598C22×C4C2×D4×C1112yes—
599C22×C4C2×D4×C1111yescharacteristic
600C22×C4C11×#4112yes—
601C22×C4C11×#4112yes—
602C22×C4C11×#4112yes—
603C22×C4C24×C1111yescharacteristic
604M16—44no—
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—21no—
614C2×C8—21no—
615C2×C8—44no—
616C2×C8C2×D4×C1112yes—
617C2×C8C2×D4×C1112yes—
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—21no—
628C4⋊C4—21no—
629C4⋊C4—21no—
630C4⋊C4—21no—
631C4⋊C4—21no—
632C4⋊C4—42no—
633C22⋊C4—42no—
634C22⋊C4—42no—
635C22⋊C4—42no—
636C22⋊C4—42no—
637C22⋊C4—81no—
638C22⋊C4—81no—
639C22⋊C4—81no—
640C22⋊C4—81no—
641C22⋊C4—81no—
642C22⋊C4—81no—
643C22⋊C4—81no—
644C42—42no—
645C11#2456511yescharacteristic, direct product factor, Sylow
646C23—21no—
647C23—21no—
648C23—21no—
649C23—21no—
650C23—21no—
651C23—21no—
652C23—21no—
653C23—21no—
654C23—21no—
655C23—21no—
656C23—21no—
657C23—21no—
658C23—21no—
659C23—21no—
660C23—21no—
661C23—21no—
662C23—21no—
663C23—21no—
664C23—21no—
665C23—41no—
666C23—41no—
667C23—41no—
668C23—41no—
669C23—41no—
670C23—41no—
671C23—41no—
672C23C11×#12112yes—
673C23C11×#12312yes—
674C23C22×D4×C1111yescharacteristic
675Q8—44no—
676D4—44no—
677D4—44no—
678D4—44no—
679D4—41no—
680D4—41no—
681D4—41no—
682D4—41no—
683D4—84no—
684D4—84no—
685D4—84no—
686C2×C4—21no—
687C2×C4—21no—
688C2×C4—21no—
689C2×C4—21no—
690C2×C4—22no—
691C2×C4—22no—
692C2×C4—22no—
693C2×C4—22no—
694C2×C4—22no—
695C2×C4—22no—
696C2×C4—22no—
697C2×C4—22no—
698C2×C4—21no—
699C2×C4—21no—
700C2×C4—21no—
701C2×C4—41no—
702C2×C4—41no—
703C2×C4—41no—
704C2×C4—41no—
705C2×C4—41no—
706C2×C4—41no—
707C2×C4—41no—
708C2×C4—41no—
709C2×C4—41no—
710C2×C4—41no—
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—41no—
726C2×C4—84no—
727C2×C4C11×#12112yes—
728C2×C4C11×#12312yes—
729C2×C4C22×D4×C1111yescharacteristic
730C2×C4C2×C11×#4111yescharacteristic
731C2×C4C2×C11×#4111yescharacteristic
732C2×C4C2×C11×#4111yescharacteristic
733C2×C4C11×H(5,𝔽2)11yescharacteristic
734C2×C4C11×H(5,𝔽2)11yescharacteristic
735C8—22no—
736C8—22no—
737C8—41no—
738C8—41no—
739C22—22no—
740C22—22no—
741C22—22no—
742C22—22no—
743C22—22no—
744C22—22no—
745C22—41no—
746C22—41no—
747C22—41no—
748C22—41no—
749C22—41no—
750C22—41no—
751C22—41no—
752C22—41no—
753C22—41no—
754C22—41no—
755C22—41no—
756C22—41no—
757C22—41no—
758C22—41no—
759C22—41no—
760C22—81no—
761C22—81no—
762C22—81no—
763C22—81no—
764C22—81no—
765C22—81no—
766C22—81no—
767C22C2×C11×#12111yescharacteristic
768C22C2×C11×#12311yescharacteristic
769C22C11×#53411yescharacteristic
770C22C11×#57611yescharacteristic
771C22C11×#57611yescharacteristic
772C22C11×#57711yescharacteristic
773C22C11×#57811yescharacteristic
774C4—22no—
775C4—22no—
776C4—41no—
777C4—81no—
778C4—81no—
779C4—81no—
780C4—81no—
781C4—81no—
782C4—81no—
783C4—81no—
784C4C11×#54611yescharacteristic
785C4C11×#54611yescharacteristic
786C4C11×#55111yescharacteristic
787C4C11×#55111yescharacteristic
788C2—42no—
789C2—42no—
790C2—81no—
791C2—161no—
792C2C11×#241211yescharacteristic
793C2C11×#306111yescharacteristic
794C2C11×#306211yescharacteristic
795C2C11×#309611yescharacteristic
796C2C11×#309811yescharacteristic
797C2C11×#319911yescharacteristic
798C2C11×#320111yescharacteristic
subgroupG/H
center, socleC23×C11C22×D4
commutator, Frattini, cosocleC22×C4C24×C11
prime radicalC11×#2615C2
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23×C11 ◁ C22×C11×#41 ◁ G

Complements

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

NH ≅ G/Ntype
1. C2×C11×#482C2semidirect
2. C2×C11×#408C2semidirect
4. C11×#2311C2semidirect
5. C11×#2077C2semidirect
6. C11×#2076C2semidirect
7. C11×#2033C2semidirect
8. C11×#2033C2semidirect
9. C11×#1895C2semidirect
10. C11×#1893C2semidirect
11. C11×#1874C2semidirect
12. C11×#1852C2semidirect
13. C11×#1825C2semidirect
14. C11×#1809C2semidirect
15. C11×#1808C2semidirect
130. C11×C22⋊C8D4semidirect
138. #24565C11direct (N × H)
247. C2×#482C2×C11semidirect
248. C2×#408C2×C11semidirect
250. #2311C2×C11semidirect
251. #2077C2×C11semidirect
252. #2076C2×C11semidirect
253. #2033C2×C11semidirect
254. #2033C2×C11semidirect
255. #1895C2×C11semidirect
256. #1893C2×C11semidirect
257. #1874C2×C11semidirect
258. #1852C2×C11semidirect
259. #1825C2×C11semidirect
260. #1809C2×C11semidirect
261. #1808C2×C11semidirect
518. C22⋊C8D4×C11semidirect
645. C11#24565direct (N × H)

Maximal subgroups

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

subgroupindex
C2×C11×#4822
C2×C11×#4082
C11×#26152
C11×#23112
C11×#20772
C11×#20762
C11×#20332
C11×#18952
C11×#18932
C11×#18742
C11×#18522
C11×#18252
C11×#18092
C11×#18082
#2456511