Finite Group Databasebeta

← C11×#61981 #14639174

Subgroups — C11×#61981 #14639174

Order 2816.

1906 conjugacy classes of subgroups.

The subgroup lattice has 1324 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C11×#3508C211yesmaximal, characteristic, complemented
2C11×#3482C211yesmaximal, characteristic, complemented
3C11×#3401C212yesmaximal, complemented
4C11×#3371C212yesmaximal, complemented
5C11×#3317C212yesmaximal, complemented
6C11×#3306C212yesmaximal, complemented
7C11×#3296C212yesmaximal, complemented
8C11×#3282C212yesmaximal, complemented
9C11×#3271C212yesmaximal, complemented
10C11×#3266C212yesmaximal, complemented
11C11×#3251C211yesmaximal, characteristic, complemented
12C11×#3248C211yesmaximal, characteristic, complemented
13C11×#3246C211yesmaximal, characteristic, complemented
14C11×#3217C211yesmaximal, characteristic, complemented
15C11×#3216C211yesmaximal, characteristic, complemented
16C11×#3212C211yesmaximal, characteristic, complemented
17C11×#3115C211yesmaximal, characteristic, complemented
18C11×#3113C211yesmaximal, characteristic, complemented
19C11×#3103C211yesmaximal, characteristic, complemented
20C11×#3037C211yesmaximal, characteristic, complemented
21C11×#3035C211yesmaximal, characteristic, complemented
22C2×C11×#460C211yesmaximal, characteristic, complemented
23C11×#2990C211yesmaximal, characteristic, complemented
24C2×C11×#137C2212yescomplemented
25C2×C11×#135C2212yescomplemented
26C22×C11×SD16C2212yes—
27C11×#559—21no—
28C11×#559C2212yes—
29C11×#557C2211yescharacteristic, complemented
30C11×#556—21no—
31C11×#556C2211yescharacteristic, complemented
32C11×#552—21no—
33C11×#552—21no—
34C11×#552C2211yescharacteristic
35C11×#552C2211yescharacteristic, complemented
36C11×#550—21no—
37C11×#550C2212yes—
38D4×Q8×C11C2211yescharacteristic
39C11×#548C2211yescharacteristic
40C11×#548C2211yescharacteristic, complemented
41C11×#547—21no—
42C11×#547C2211yescharacteristic
43C11×#546—21no—
44C11×#546—21no—
45C11×#546C2212yes—
46C11×#546C2212yes—
47C11×#540—21no—
48C11×#540—21no—
49C11×#535—21no—
50C11×#533—21no—
51C11×#533C2211yescharacteristic
52C11×#533C2211yescharacteristic, complemented
53C11×#532C2211yescharacteristic
54C11×#532C2211yescharacteristic
55C11×#532C2211yescharacteristic
56C11×#532C2211yescharacteristic
57C2×C11×#127C2211yescharacteristic
58C11×#529—21no—
59C11×#529—21no—
60C11×#529C2211yescharacteristic
61C11×#529C2211yescharacteristic, complemented
62C11×#518—21no—
63C4×C11×#41—21no—
64C4×C11×#41C2211yescharacteristic
65C4×C11×#41C2211yescharacteristic, complemented
66C2×C4×Q8×C11C2211yescharacteristic
67C2×C4×Q8×C11C2211yescharacteristic, complemented
68C11×#497C2212yescomplemented
69C11×#496C2212yes—
70C11×#495C2212yescomplemented
71C11×#490C2212yes—
72C11×#489C2212yescomplemented
73C11×#488C2212yescomplemented
74C11×#483C2212yes—
75C11×#482C2212yescomplemented
76C11×#481C2212yescomplemented
77C11×#479C2212yescomplemented
78C11×#478C2212yescomplemented
79C11×#476C2212yescomplemented
80C11×#475C2211yescharacteristic, complemented
81C11×#475C2211yescharacteristic, complemented
82C11×#475C2211yescharacteristic, complemented
83C11×#474C2211yescharacteristic, complemented
84C11×#469C2212yescomplemented
85C11×#468C2212yescomplemented
86C11×#467C2212yes—
87C11×#465C2212yes—
88C11×#465C2212yescomplemented
89C11×#465C2212yescomplemented
90C11×#464C2212yescomplemented
91C11×#464C2212yescomplemented
92C11×#464C2212yescomplemented
93C11×#464C2212yescomplemented
94C11×#463C2212yescomplemented
95C11×#463C2212yescomplemented
96C11×#462C2211yescharacteristic, complemented
97C11×#462C2211yescharacteristic, complemented
98C11×#462C2211yescharacteristic, complemented
99C11×#461C2211yescharacteristic, complemented
100C11×#461C2212yescomplemented
101C11×#460C2211yescharacteristic
102C11×#460C2211yescharacteristic
103C11×#460C2211yescharacteristic
104C11×#460C2211yescharacteristic
105C11×#460C2212yes—
106C11×#460C2211yescharacteristic
107C11×#460C2211yescharacteristic
108C11×#460C2212yes—
109C11×#459C2211yescharacteristic
110C11×#459C2211yescharacteristic
111C11×#452C2212yescomplemented
112C11×#452C2212yescomplemented
113C11×#452C2212yescomplemented
114C11×#451C2212yes—
115C11×#450C2212yes—
116C11×#449C2212yescomplemented
117C11×#449C2212yescomplemented
118C11×#448C2212yescomplemented
119C11×#447C2212yes—
120C11×#446C2212yescomplemented
121C11×#442C2212yescomplemented
122C11×#441C2212yescomplemented
123C11×#441C2212yescomplemented
124C11×#440C2212yescomplemented
125C4×C11×SD16C2212yescomplemented
126C4×C11×SD16C2212yescomplemented
127C11×#435C2212yes—
128C11×#435C2212yescomplemented
129C8×D4×C11C2212yes—
130C11×#432C2211yescharacteristic
131C11×#432C2211yescharacteristic, complemented
132C11×#431C2211yescharacteristic, complemented
133C11×#423C2211yescharacteristic, complemented
134C2×C11×C4⋊C8C2211yescharacteristic
135C2×C11×C4⋊C8C2211yescharacteristic, complemented
136C11×#417C2212yescomplemented
137C11×#416C2212yescomplemented
138C2×C11×#102C2212yes—
139C2×C11×#41—21no—
140C2×C11×#41—21no—
141C2×C11×#41—21no—
142C2×C11×#41D411yescharacteristic
143C2×C11×#41C2311yescharacteristic
144C2×C11×#41C2312yes—
145C2×C11×#41C2312yes—
146C22×Q8×C11C2311yescharacteristic
147C22×Q8×C11C2311yescharacteristic
148C22×D4×C11—21no—
149C22×D4×C11—21no—
150C22×D4×C11C2312yes—
151C11×#137—44no—
152C11×#135—44no—
153C2×C11×Q16C2312yes—
154C2×C11×Q16C2312yes—
155C2×C11×Q16C2312yes—
156C2×C11×SD16—44no—
157C2×C11×SD16C2312yes—
158C2×C11×SD16C2312yes—
159C2×C11×SD16C2312yes—
160C2×C11×SD16C2312yes—
161C2×C11×SD16C2312yes—
162C2×C11×SD16C2312yes—
163C2×C11×SD16C2312yes—
164C2×C11×D8C2312yes—
165C2×C11×D8C2312yes—
166C2×C11×M16C2312yes—
167C22×C8×C11C2312yes—
168C22×C8×C11C2312yes—
169C11×C4⋊Q8—21no—
170C11×C4⋊Q8—21no—
171C11×C4⋊Q8C2311yescharacteristic
172C11×C4⋊Q8C2311yescharacteristic
173C11×C4⋊Q8C2311yescharacteristic
174C11×C4⋊Q8C2311yescharacteristic
175C11×#127—22no—
176C11×#127—21no—
177C11×#127—21no—
178C11×#127C2312yes—
179C11×#127C2311yescharacteristic
180C11×#127C2311yescharacteristic
181C11×#126—21no—
182C11×#126—21no—
183C11×#126—21no—
184C11×#126—21no—
185C11×#126—21no—
186C11×#126—21no—
187C11×#125—21no—
188C11×#125—21no—
189C11×#125—21no—
190C11×#125—21no—
191C11×#125—21no—
192C11×#125—21no—
193C11×#125C2311yescharacteristic
194C11×#125C2311yescharacteristic
195C11×#124—22no—
196C11×#124—21no—
197C11×#124—21no—
198C11×#124—21no—
199C11×#124—21no—
200C11×#124C2312yes—
201C11×#124C2311yescharacteristic
202C11×#124C2312yes—
203C11×#124C2311yescharacteristic
204C11×#123—21no—
205C11×#123—21no—
206C11×#123—21no—
207C11×#123—21no—
208C11×#123—22no—
209C11×#123—22no—
210C11×#123—22no—
211C11×#123—22no—
212C11×#123—21no—
213C11×#123—21no—
214C11×C22⋊Q8—21no—
215C11×C22⋊Q8—21no—
216C11×C22⋊Q8—21no—
217C11×C22⋊Q8—21no—
218C11×C22⋊Q8—21no—
219C11×C22⋊Q8—21no—
220C11×C22⋊Q8—21no—
221C11×C22⋊Q8—21no—
222C11×C22⋊Q8C2311yescharacteristic
223C11×C22⋊Q8C2311yescharacteristic
224C11×C22⋊Q8C2312yes—
225C11×C22⋊Q8C2311yescharacteristic
226C11×C22⋊Q8C2311yescharacteristic
227C11×#121—21no—
228C11×#121—21no—
229C11×#121—21no—
230C11×#121—21no—
231C11×#121—21no—
232C11×#121—21no—
233C11×#121—21no—
234C11×#121—21no—
235C11×#121—22no—
236C11×#121—22no—
237C11×#121—22no—
238C11×#121—22no—
239C11×#121C2311yescharacteristic
240C11×#121C2311yescharacteristic
241C11×#121C2312yes—
242C11×#121C2312yes—
243C11×#120—22no—
244C11×#120—22no—
245C4×Q8×C11—21no—
246C4×Q8×C11—21no—
247C4×Q8×C11—21no—
248C4×Q8×C11—21no—
249C4×Q8×C11—21no—
250C4×Q8×C11—21no—
251C4×Q8×C11—21no—
252C4×Q8×C11D411yescharacteristic
253C4×Q8×C11C2311yescharacteristic
254C4×Q8×C11C2311yescharacteristic
255C4×Q8×C11C2311yescharacteristic
256C4×Q8×C11C2311yescharacteristic
257C4×Q8×C11C2311yescharacteristic
258C4×Q8×C11C2311yescharacteristic
259C4×Q8×C11C2311yescharacteristic
260C4×Q8×C11C2311yescharacteristic
261C4×Q8×C11C2312yes—
262C4×Q8×C11C2311yescharacteristic
263C4×D4×C11—21no—
264C4×D4×C11—21no—
265C4×D4×C11—21no—
266C4×D4×C11—21no—
267C4×D4×C11—21no—
268C4×D4×C11—22no—
269C4×D4×C11—22no—
270C4×D4×C11—21no—
271C4×D4×C11—21no—
272C4×D4×C11—21no—
273C4×D4×C11—21no—
274C4×D4×C11—21no—
275C4×D4×C11—21no—
276C4×D4×C11—21no—
277C4×D4×C11—21no—
278C4×D4×C11D411yescharacteristic
279C4×D4×C11D411yescharacteristic
280C4×D4×C11D411yescharacteristic
281C4×D4×C11C2311yescharacteristic
282C4×D4×C11C2311yescharacteristic
283C4×D4×C11C2312yes—
284C4×D4×C11C2312yes—
285C4×D4×C11C2311yescharacteristic
286C4×D4×C11C2311yescharacteristic
287C4×D4×C11C2311yescharacteristic
288C11×#117—21no—
289C11×#117—21no—
290C11×#117—21no—
291C11×#117—21no—
292C11×#117—21no—
293C11×#117—21no—
294C11×#117—21no—
295C11×#117—21no—
296C11×#117D411yescharacteristic
297C11×#117D411yescharacteristic
298C11×#117D411yescharacteristic
299C11×#117C2311yescharacteristic
300C2×C11×C4⋊C4—21no—
301C2×C11×C4⋊C4—21no—
302C2×C11×C4⋊C4C2311yescharacteristic
303C2×C11×C4⋊C4C2311yescharacteristic
304C2×C11×C22⋊C4—22no—
305C2×C11×C22⋊C4—22no—
306C2×C42×C11—21no—
307C2×C42×C11—21no—
308C2×C42×C11—21no—
309C2×C42×C11C2311yescharacteristic
310C2×C42×C11C2311yescharacteristic
311C2×C42×C11C2311yescharacteristic
312C11×#107C2312yes—
313C11×#106C2312yes—
314C11×#106C2312yes—
315C11×#106C2312yes—
316C11×C4⋊C8C2311yescharacteristic
317C11×C4⋊C8C2311yescharacteristic
318C11×C4⋊C8C2312yes—
319C11×C4⋊C8C2311yescharacteristic
320C11×C4⋊C8C2312yes—
321C11×C4⋊C8C2312yes—
322C11×C4⋊C8C2311yescharacteristic
323C11×#103C2312yes—
324C11×#103C2312yes—
325C11×#103C2312yes—
326C11×#103C2312yes—
327C11×#103C2312yes—
328C11×#103C2312yes—
329C11×#103C2312yes—
330C11×#102C2312yes—
331C11×#102C2312yes—
332C11×#102C2312yes—
333C11×#102C2312yes—
334C11×#102C2312yes—
335C11×#102C2312yes—
336C11×#102C2312yes—
337C11×#102C2312yes—
338C11×#102C2312yes—
339C11×C22⋊C8C2312yes—
340C11×C22⋊C8C2312yes—
341C11×C22⋊C8C2312yes—
342C11×#97C2312yes—
343C11×#97C2312yes—
344C4×C8×C11C2312yes—
345#61981C1111yesmaximal, characteristic, direct product factor, Sylow
346C24×C11—22no—
347C11×#41—22no—
348C11×#41—42no—
349C11×#41—41no—
350C11×#41—42no—
351C11×#41—42no—
352C11×#41—42no—
353C11×#41—42no—
354C11×#41—44no—
355C11×#41—82no—
356C11×#41—82no—
357C2×Q8×C11—21no—
358C2×Q8×C11—21no—
359C2×Q8×C11—21no—
360C2×Q8×C11—21no—
361C2×Q8×C11—22no—
362C2×Q8×C11—22no—
363C2×Q8×C11—41no—
364C2×Q8×C11—41no—
365C2×Q8×C11C2×D411yescharacteristic
366C2×Q8×C11C2412yes—
367C2×Q8×C11C2411yescharacteristic
368C2×Q8×C11C2411yescharacteristic
369C2×Q8×C11C2411yescharacteristic
370C2×D4×C11—21no—
371C2×D4×C11—21no—
372C2×D4×C11—21no—
373C2×D4×C11—22no—
374C2×D4×C11—22no—
375C2×D4×C11—22no—
376C2×D4×C11—22no—
377C2×D4×C11—21no—
378C2×D4×C11—21no—
379C2×D4×C11—22no—
380C2×D4×C11—21no—
381C2×D4×C11—21no—
382C2×D4×C11—22no—
383C2×D4×C11—22no—
384C2×D4×C11—42no—
385C2×D4×C11—42no—
386C2×D4×C11—44no—
387C2×D4×C11—82no—
388C2×D4×C11C2×D411yescharacteristic
389C2×D4×C11C2×D411yescharacteristic
390C2×D4×C11C2×D411yescharacteristic
391C2×D4×C11C2412yes—
392C2×D4×C11C2412yes—
393C2×D4×C11C2411yescharacteristic
394C22×C4×C11—21no—
395C22×C4×C11—21no—
396C22×C4×C11—21no—
397C22×C4×C11—21no—
398C22×C4×C11—21no—
399C22×C4×C11—21no—
400C22×C4×C11—21no—
401C22×C4×C11—22no—
402C22×C4×C11—22no—
403C22×C4×C11—22no—
404C22×C4×C11—22no—
405C22×C4×C11C2×D411yescharacteristic
406C22×C4×C11C2×D411yescharacteristic
407C22×C4×C11C2×D411yescharacteristic
408C22×C4×C11C2×D411yescharacteristic
409C22×C4×C11C2×D411yescharacteristic
410C22×C4×C11C2×D411yescharacteristic
411C22×C4×C11C2411yescharacteristic
412C22×C4×C11C2411yescharacteristic
413C22×C4×C11C2411yescharacteristic
414C11×Q16—24no—
415C11×Q16—42no—
416C11×Q16—42no—
417C11×SD16—24no—
418C11×SD16—24no—
419C11×SD16—42no—
420C11×SD16—42no—
421C11×SD16—42no—
422C11×SD16—42no—
423C11×SD16—42no—
424C11×D8—42no—
425C11×D8—42no—
426C11×M16—42no—
427C2×C8×C11—42no—
428C2×C8×C11—42no—
429C2×C8×C11C2412yes—
430C2×C8×C11C2412yes—
431C2×C8×C11C2412yes—
432C2×C8×C11C2412yes—
433C11×C4⋊C4—21no—
434C11×C4⋊C4—21no—
435C11×C4⋊C4—21no—
436C11×C4⋊C4—21no—
437C11×C4⋊C4—21no—
438C11×C4⋊C4—21no—
439C11×C4⋊C4—21no—
440C11×C4⋊C4—21no—
441C11×C4⋊C4—21no—
442C11×C4⋊C4—21no—
443C11×C4⋊C4—21no—
444C11×C4⋊C4—21no—
445C11×C4⋊C4—21no—
446C11×C4⋊C4—21no—
447C11×C4⋊C4—21no—
448C11×C4⋊C4—21no—
449C11×C4⋊C4—21no—
450C11×C4⋊C4—21no—
451C11×C4⋊C4—21no—
452C11×C4⋊C4—21no—
453C11×C4⋊C4—21no—
454C11×C4⋊C4—21no—
455C11×C4⋊C4—21no—
456C11×C4⋊C4—21no—
457C11×C4⋊C4—22no—
458C11×C4⋊C4—22no—
459C11×C4⋊C4C2×D411yescharacteristic
460C11×C4⋊C4C2×D411yescharacteristic
461C11×C4⋊C4C2×D411yescharacteristic
462C11×C4⋊C4C2×D411yescharacteristic
463C11×C4⋊C4C2×D411yescharacteristic
464C11×C4⋊C4C2×D411yescharacteristic
465C11×C4⋊C4C2411yescharacteristic
466C11×C4⋊C4C2411yescharacteristic
467C11×C4⋊C4C2411yescharacteristic
468C11×C4⋊C4C2411yescharacteristic
469C11×C4⋊C4C2412yes—
470C11×C22⋊C4—22no—
471C11×C22⋊C4—21no—
472C11×C22⋊C4—21no—
473C11×C22⋊C4—21no—
474C11×C22⋊C4—21no—
475C11×C22⋊C4—21no—
476C11×C22⋊C4—22no—
477C11×C22⋊C4—22no—
478C11×C22⋊C4—22no—
479C11×C22⋊C4—22no—
480C11×C22⋊C4—21no—
481C11×C22⋊C4—21no—
482C11×C22⋊C4—21no—
483C11×C22⋊C4—21no—
484C11×C22⋊C4—21no—
485C11×C22⋊C4—21no—
486C11×C22⋊C4—21no—
487C11×C22⋊C4—21no—
488C11×C22⋊C4—22no—
489C11×C22⋊C4—22no—
490C11×C22⋊C4—22no—
491C11×C22⋊C4—22no—
492C11×C22⋊C4C2×D411yescharacteristic
493C11×C22⋊C4C2×D411yescharacteristic
494C11×C22⋊C4C2×D411yescharacteristic
495C11×C22⋊C4C2×D411yescharacteristic
496C11×C22⋊C4C2×D411yescharacteristic
497C11×C22⋊C4C2×D411yescharacteristic
498C42×C11—21no—
499C42×C11—21no—
500C42×C11—21no—
501C42×C11—21no—
502C42×C11—21no—
503C42×C11—21no—
504C42×C11—21no—
505C42×C11—21no—
506C42×C11—21no—
507C42×C11—22no—
508C42×C11C2×D411yescharacteristic
509C42×C11C2×D411yescharacteristic
510C42×C11C2×D411yescharacteristic
511C42×C11C2×D411yescharacteristic
512C42×C11C2×D411yescharacteristic
513C42×C11C2×D411yescharacteristic
514C42×C11C2411yescharacteristic
515C42×C11C2411yescharacteristic
516C42×C11C2411yescharacteristic
517C42×C11C2411yescharacteristic
518#3508C2×C1111yescharacteristic, complemented
519#3482C2×C1111yescharacteristic, complemented
520#3401C2×C1112yescomplemented
521#3371C2×C1112yescomplemented
522#3317C2×C1112yescomplemented
523#3306C2×C1112yescomplemented
524#3296C2×C1112yescomplemented
525#3282C2×C1112yescomplemented
526#3271C2×C1112yescomplemented
527#3266C2×C1112yescomplemented
528#3251C2×C1111yescharacteristic, complemented
529#3248C2×C1111yescharacteristic, complemented
530#3246C2×C1111yescharacteristic, complemented
531#3217C2×C1111yescharacteristic, complemented
532#3216C2×C1111yescharacteristic, complemented
533#3212C2×C1111yescharacteristic, complemented
534#3115C2×C1111yescharacteristic, complemented
535#3113C2×C1111yescharacteristic, complemented
536#3103C2×C1111yescharacteristic, complemented
537#3037C2×C1111yescharacteristic, complemented
538#3035C2×C1111yescharacteristic, complemented
539C2×#460C2×C1111yescharacteristic, complemented
540#2990C2×C1111yescharacteristic, complemented
541C23×C11—21no—
542C23×C11—22no—
543C23×C11—22no—
544C23×C11—44no—
545C23×C11—82no—
546C23×C11—82no—
547C23×C11C22×D411yescharacteristic
548C23×C11C22×D411yescharacteristic
549C23×C11C22×D411yescharacteristic
550Q8×C11—21no—
551Q8×C11—21no—
552Q8×C11—21no—
553Q8×C11—22no—
554Q8×C11—21no—
555Q8×C11—21no—
556Q8×C11—22no—
557Q8×C11—41no—
558Q8×C11—42no—
559Q8×C11—42no—
560Q8×C11—42no—
561Q8×C11—42no—
562Q8×C11H(5,𝔽2)12yes—
563D4×C11—22no—
564D4×C11—22no—
565D4×C11—21no—
566D4×C11—22no—
567D4×C11—22no—
568D4×C11—21no—
569D4×C11—22no—
570D4×C11—22no—
571D4×C11—41no—
572D4×C11—42no—
573D4×C11—42no—
574D4×C11—42no—
575D4×C11—44no—
576D4×C11—42no—
577D4×C11—42no—
578D4×C11—42no—
579D4×C11—42no—
580D4×C11—82no—
581D4×C11—82no—
582D4×C11—82no—
583D4×C11—82no—
584D4×C11—82no—
585D4×C11—82no—
586C2×C4×C11—22no—
587C2×C4×C11—21no—
588C2×C4×C11—22no—
589C2×C4×C11—22no—
590C2×C4×C11—22no—
591C2×C4×C11—21no—
592C2×C4×C11—21no—
593C2×C4×C11—21no—
594C2×C4×C11—21no—
595C2×C4×C11—21no—
596C2×C4×C11—21no—
597C2×C4×C11—21no—
598C2×C4×C11—21no—
599C2×C4×C11—21no—
600C2×C4×C11—21no—
601C2×C4×C11—21no—
602C2×C4×C11—21no—
603C2×C4×C11—22no—
604C2×C4×C11—22no—
605C2×C4×C11—41no—
606C2×C4×C11—41no—
607C2×C4×C11—42no—
608C2×C4×C11—42no—
609C2×C4×C11—42no—
610C2×C4×C11—42no—
611C2×C4×C11—42no—
612C2×C4×C11—42no—
613C2×C4×C11—42no—
614C2×C4×C11—82no—
615C2×C4×C11—82no—
616C2×C4×C11—82no—
617C2×C4×C11—82no—
618C2×C4×C11C22×D411yescharacteristic
619C2×C4×C11C22×D411yescharacteristic
620C2×C4×C11C22×D411yescharacteristic
621C2×C4×C11C22×D411yescharacteristic
622C2×C4×C11C22×D411yescharacteristic
623C2×C4×C11C22×D411yescharacteristic
624C2×C4×C11C22×D411yescharacteristic
625C2×C4×C11C22×D411yescharacteristic
626C2×C4×C11C22×D411yescharacteristic
627C2×C4×C11C22×D411yescharacteristic
628C2×C4×C11C22×D411yescharacteristic
629C2×C4×C11C2511yescharacteristic
630C8×C11—22no—
631C8×C11—22no—
632C8×C11—22no—
633C8×C11—22no—
634C2×#137C22×C1112yescomplemented
635C2×#135C22×C1112yescomplemented
636C22×SD16C22×C1112yes—
637#559—21no—
638#559C22×C1112yes—
639#557C22×C1111yescharacteristic, complemented
640#556—21no—
641#556C22×C1111yescharacteristic, complemented
642#552—21no—
643#552—21no—
644#552C22×C1111yescharacteristic
645#552C22×C1111yescharacteristic, complemented
646#550—21no—
647#550C22×C1112yes—
648D4×Q8C22×C1111yescharacteristic
649#548C22×C1111yescharacteristic
650#548C22×C1111yescharacteristic, complemented
651#547—21no—
652#547C22×C1111yescharacteristic
653#546—21no—
654#546—21no—
655#546C22×C1112yes—
656#546C22×C1112yes—
657#540—21no—
658#540—21no—
659#535—21no—
660#533—21no—
661#533C22×C1111yescharacteristic
662#533C22×C1111yescharacteristic, complemented
663#532C22×C1111yescharacteristic
664#532C22×C1111yescharacteristic
665#532C22×C1111yescharacteristic
666#532C22×C1111yescharacteristic
667C2×#127C22×C1111yescharacteristic
668#529—21no—
669#529—21no—
670#529C22×C1111yescharacteristic
671#529C22×C1111yescharacteristic, complemented
672#518—21no—
673C4×#41—21no—
674C4×#41C22×C1111yescharacteristic
675C4×#41C22×C1111yescharacteristic, complemented
676C2×C4×Q8C22×C1111yescharacteristic
677C2×C4×Q8C22×C1111yescharacteristic, complemented
678#497C22×C1112yescomplemented
679#496C22×C1112yes—
680#495C22×C1112yescomplemented
681#490C22×C1112yes—
682#489C22×C1112yescomplemented
683#488C22×C1112yescomplemented
684#483C22×C1112yes—
685#482C22×C1112yescomplemented
686#481C22×C1112yescomplemented
687#479C22×C1112yescomplemented
688#478C22×C1112yescomplemented
689#476C22×C1112yescomplemented
690#475C22×C1111yescharacteristic, complemented
691#475C22×C1111yescharacteristic, complemented
692#475C22×C1111yescharacteristic, complemented
693#474C22×C1111yescharacteristic, complemented
694#469C22×C1112yescomplemented
695#468C22×C1112yescomplemented
696#467C22×C1112yes—
697#465C22×C1112yes—
698#465C22×C1112yescomplemented
699#465C22×C1112yescomplemented
700#464C22×C1112yescomplemented
701#464C22×C1112yescomplemented
702#464C22×C1112yescomplemented
703#464C22×C1112yescomplemented
704#463C22×C1112yescomplemented
705#463C22×C1112yescomplemented
706#462C22×C1111yescharacteristic, complemented
707#462C22×C1111yescharacteristic, complemented
708#462C22×C1111yescharacteristic, complemented
709#461C22×C1112yescomplemented
710#461C22×C1111yescharacteristic, complemented
711#460C22×C1111yescharacteristic
712#460C22×C1111yescharacteristic
713#460C22×C1111yescharacteristic
714#460C22×C1112yes—
715#460C22×C1112yes—
716#460C22×C1111yescharacteristic
717#460C22×C1111yescharacteristic
718#460C22×C1111yescharacteristic
719#459C22×C1111yescharacteristic
720#459C22×C1111yescharacteristic
721#452C22×C1112yescomplemented
722#452C22×C1112yescomplemented
723#452C22×C1112yescomplemented
724#451C22×C1112yes—
725#450C22×C1112yes—
726#449C22×C1112yescomplemented
727#449C22×C1112yescomplemented
728#448C22×C1112yescomplemented
729#447C22×C1112yes—
730#446C22×C1112yescomplemented
731#442C22×C1112yescomplemented
732#441C22×C1112yescomplemented
733#441C22×C1112yescomplemented
734#440C22×C1112yescomplemented
735C4×SD16C22×C1112yescomplemented
736C4×SD16C22×C1112yescomplemented
737#435C22×C1112yes—
738#435C22×C1112yescomplemented
739C8×D4C22×C1112yes—
740#432C22×C1111yescharacteristic
741#432C22×C1111yescharacteristic, complemented
742#431C22×C1111yescharacteristic, complemented
743#423C22×C1111yescharacteristic, complemented
744C2×C4⋊C8C22×C1111yescharacteristic
745C2×C4⋊C8C22×C1111yescharacteristic, complemented
746#417C22×C1112yescomplemented
747#416C22×C1112yescomplemented
748C2×#102C22×C1112yes—
749C22×C11—21no—
750C22×C11—21no—
751C22×C11—21no—
752C22×C11—21no—
753C22×C11—21no—
754C22×C11—21no—
755C22×C11—21no—
756C22×C11—21no—
757C22×C11—41no—
758C22×C11—42no—
759C22×C11—42no—
760C22×C11—41no—
761C22×C11—42no—
762C22×C11—42no—
763C22×C11—41no—
764C22×C11—42no—
765C22×C11—42no—
766C22×C11—164no—
767C22×C11#57512yes—
768C22×C11C23×D411yescharacteristic
769C4×C11—21no—
770C4×C11—21no—
771C4×C11—21no—
772C4×C11—22no—
773C4×C11—21no—
774C4×C11—21no—
775C4×C11—21no—
776C4×C11—21no—
777C4×C11—21no—
778C4×C11—21no—
779C4×C11—21no—
780C4×C11—41no—
781C4×C11—41no—
782C4×C11—42no—
783C4×C11—41no—
784C4×C11—41no—
785C4×C11—41no—
786C4×C11—41no—
787C4×C11—42no—
788C4×C11#57712yes—
789C4×C11C2×H(5,𝔽2)11yescharacteristic
790C4×C11#58511yescharacteristic
791C2×#41—21no—
792C2×#41—21no—
793C2×#41—21no—
794C2×#41D4×C1111yescharacteristic
795C2×#41C23×C1111yescharacteristic
796C2×#41C23×C1112yes—
797C2×#41C23×C1112yes—
798C22×Q8C23×C1111yescharacteristic
799C22×Q8C23×C1111yescharacteristic
800C22×D4—21no—
801C22×D4—21no—
802C22×D4C23×C1112yes—
803#137—44no—
804#135—44no—
805C2×Q16C23×C1112yes—
806C2×Q16C23×C1112yes—
807C2×Q16C23×C1112yes—
808C2×SD16—44no—
809C2×SD16C23×C1112yes—
810C2×SD16C23×C1112yes—
811C2×SD16C23×C1112yes—
812C2×SD16C23×C1112yes—
813C2×SD16C23×C1112yes—
814C2×SD16C23×C1112yes—
815C2×SD16C23×C1112yes—
816C2×D8C23×C1112yes—
817C2×D8C23×C1112yes—
818C2×M16C23×C1112yes—
819C22×C8C23×C1112yes—
820C22×C8C23×C1112yes—
821C4⋊Q8—21no—
822C4⋊Q8—21no—
823C4⋊Q8C23×C1111yescharacteristic
824C4⋊Q8C23×C1111yescharacteristic
825C4⋊Q8C23×C1111yescharacteristic
826C4⋊Q8C23×C1111yescharacteristic
827#127—22no—
828#127—21no—
829#127—21no—
830#127C23×C1111yescharacteristic
831#127C23×C1111yescharacteristic
832#127C23×C1112yes—
833#126—21no—
834#126—21no—
835#126—21no—
836#126—21no—
837#126—21no—
838#126—21no—
839#125—21no—
840#125—21no—
841#125—21no—
842#125—21no—
843#125—21no—
844#125—21no—
845#125C23×C1111yescharacteristic
846#125C23×C1111yescharacteristic
847#124—22no—
848#124—21no—
849#124—21no—
850#124—21no—
851#124—21no—
852#124C23×C1111yescharacteristic
853#124C23×C1111yescharacteristic
854#124C23×C1112yes—
855#124C23×C1112yes—
856#123—21no—
857#123—21no—
858#123—21no—
859#123—21no—
860#123—22no—
861#123—22no—
862#123—22no—
863#123—22no—
864#123—21no—
865#123—21no—
866C22⋊Q8—21no—
867C22⋊Q8—21no—
868C22⋊Q8—21no—
869C22⋊Q8—21no—
870C22⋊Q8—21no—
871C22⋊Q8—21no—
872C22⋊Q8—21no—
873C22⋊Q8—21no—
874C22⋊Q8C23×C1111yescharacteristic
875C22⋊Q8C23×C1111yescharacteristic
876C22⋊Q8C23×C1112yes—
877C22⋊Q8C23×C1111yescharacteristic
878C22⋊Q8C23×C1111yescharacteristic
879#121—21no—
880#121—21no—
881#121—21no—
882#121—21no—
883#121—21no—
884#121—21no—
885#121—21no—
886#121—21no—
887#121—22no—
888#121—22no—
889#121—22no—
890#121—22no—
891#121C23×C1111yescharacteristic
892#121C23×C1111yescharacteristic
893#121C23×C1112yes—
894#121C23×C1112yes—
895#120—22no—
896#120—22no—
897C4×Q8—21no—
898C4×Q8—21no—
899C4×Q8—21no—
900C4×Q8—21no—
901C4×Q8—21no—
902C4×Q8—21no—
903C4×Q8—21no—
904C4×Q8D4×C1111yescharacteristic
905C4×Q8C23×C1111yescharacteristic
906C4×Q8C23×C1111yescharacteristic
907C4×Q8C23×C1111yescharacteristic
908C4×Q8C23×C1111yescharacteristic
909C4×Q8C23×C1111yescharacteristic
910C4×Q8C23×C1111yescharacteristic
911C4×Q8C23×C1111yescharacteristic
912C4×Q8C23×C1111yescharacteristic
913C4×Q8C23×C1112yes—
914C4×Q8C23×C1111yescharacteristic
915C4×D4—21no—
916C4×D4—21no—
917C4×D4—21no—
918C4×D4—21no—
919C4×D4—21no—
920C4×D4—22no—
921C4×D4—22no—
922C4×D4—21no—
923C4×D4—21no—
924C4×D4—21no—
925C4×D4—21no—
926C4×D4—21no—
927C4×D4—21no—
928C4×D4—21no—
929C4×D4—21no—
930C4×D4D4×C1111yescharacteristic
931C4×D4D4×C1111yescharacteristic
932C4×D4D4×C1111yescharacteristic
933C4×D4C23×C1111yescharacteristic
934C4×D4C23×C1111yescharacteristic
935C4×D4C23×C1112yes—
936C4×D4C23×C1112yes—
937C4×D4C23×C1111yescharacteristic
938C4×D4C23×C1111yescharacteristic
939C4×D4C23×C1111yescharacteristic
940#117—21no—
941#117—21no—
942#117—21no—
943#117—21no—
944#117—21no—
945#117—21no—
946#117—21no—
947#117—21no—
948#117D4×C1111yescharacteristic
949#117D4×C1111yescharacteristic
950#117D4×C1111yescharacteristic
951#117C23×C1111yescharacteristic
952C2×C4⋊C4—21no—
953C2×C4⋊C4—21no—
954C2×C4⋊C4C23×C1111yescharacteristic
955C2×C4⋊C4C23×C1111yescharacteristic
956C2×C22⋊C4—22no—
957C2×C22⋊C4—22no—
958C2×C42—21no—
959C2×C42—21no—
960C2×C42—21no—
961C2×C42C23×C1111yescharacteristic
962C2×C42C23×C1111yescharacteristic
963C2×C42C23×C1111yescharacteristic
964#107C23×C1112yes—
965#106C23×C1112yes—
966#106C23×C1112yes—
967#106C23×C1112yes—
968C4⋊C8C23×C1111yescharacteristic
969C4⋊C8C23×C1111yescharacteristic
970C4⋊C8C23×C1112yes—
971C4⋊C8C23×C1111yescharacteristic
972C4⋊C8C23×C1112yes—
973C4⋊C8C23×C1112yes—
974C4⋊C8C23×C1111yescharacteristic
975#103C23×C1112yes—
976#103C23×C1112yes—
977#103C23×C1112yes—
978#103C23×C1112yes—
979#103C23×C1112yes—
980#103C23×C1112yes—
981#103C23×C1112yes—
982#102C23×C1112yes—
983#102C23×C1112yes—
984#102C23×C1112yes—
985#102C23×C1112yes—
986#102C23×C1112yes—
987#102C23×C1112yes—
988#102C23×C1112yes—
989#102C23×C1112yes—
990#102C23×C1112yes—
991C22⋊C8C23×C1112yes—
992C22⋊C8C23×C1112yes—
993C22⋊C8C23×C1112yes—
994#97C23×C1112yes—
995#97C23×C1112yes—
996C4×C8C23×C1112yes—
997C2×C11—22no—
998C2×C11—41no—
999C2×C11—41no—
1000C2×C11—81no—
1001C2×C11—82no—
1002C2×C11—82no—
1003C2×C11#348811yescharacteristic
1004C2×C11C2×#57511yescharacteristic
1005C2×C11C2×#57711yescharacteristic
1006C24—22no—
1007#41—22no—
1008#41—42no—
1009#41—41no—
1010#41—42no—
1011#41—42no—
1012#41—42no—
1013#41—42no—
1014#41—44no—
1015#41—82no—
1016#41—82no—
1017C2×Q8—21no—
1018C2×Q8—21no—
1019C2×Q8—21no—
1020C2×Q8—21no—
1021C2×Q8—22no—
1022C2×Q8—22no—
1023C2×Q8—41no—
1024C2×Q8—41no—
1025C2×Q8C2×D4×C1111yescharacteristic
1026C2×Q8C24×C1112yes—
1027C2×Q8C24×C1111yescharacteristic
1028C2×Q8C24×C1111yescharacteristic
1029C2×Q8C24×C1111yescharacteristic
1030C2×D4—21no—
1031C2×D4—21no—
1032C2×D4—21no—
1033C2×D4—22no—
1034C2×D4—22no—
1035C2×D4—22no—
1036C2×D4—22no—
1037C2×D4—21no—
1038C2×D4—21no—
1039C2×D4—22no—
1040C2×D4—21no—
1041C2×D4—21no—
1042C2×D4—22no—
1043C2×D4—22no—
1044C2×D4—42no—
1045C2×D4—42no—
1046C2×D4—44no—
1047C2×D4—82no—
1048C2×D4C2×D4×C1111yescharacteristic
1049C2×D4C2×D4×C1111yescharacteristic
1050C2×D4C2×D4×C1111yescharacteristic
1051C2×D4C24×C1112yes—
1052C2×D4C24×C1112yes—
1053C2×D4C24×C1111yescharacteristic
1054C22×C4—21no—
1055C22×C4—21no—
1056C22×C4—21no—
1057C22×C4—21no—
1058C22×C4—21no—
1059C22×C4—21no—
1060C22×C4—21no—
1061C22×C4—22no—
1062C22×C4—22no—
1063C22×C4—22no—
1064C22×C4—22no—
1065C22×C4C2×D4×C1111yescharacteristic
1066C22×C4C2×D4×C1111yescharacteristic
1067C22×C4C2×D4×C1111yescharacteristic
1068C22×C4C2×D4×C1111yescharacteristic
1069C22×C4C2×D4×C1111yescharacteristic
1070C22×C4C2×D4×C1111yescharacteristic
1071C22×C4C24×C1111yescharacteristic
1072C22×C4C24×C1111yescharacteristic
1073C22×C4C24×C1111yescharacteristic
1074Q16—24no—
1075Q16—42no—
1076Q16—42no—
1077SD16—24no—
1078SD16—24no—
1079SD16—42no—
1080SD16—42no—
1081SD16—42no—
1082SD16—42no—
1083SD16—42no—
1084D8—42no—
1085D8—42no—
1086M16—42no—
1087C2×C8—42no—
1088C2×C8—42no—
1089C2×C8C24×C1112yes—
1090C2×C8C24×C1112yes—
1091C2×C8C24×C1112yes—
1092C2×C8C24×C1112yes—
1093C4⋊C4—21no—
1094C4⋊C4—21no—
1095C4⋊C4—21no—
1096C4⋊C4—21no—
1097C4⋊C4—21no—
1098C4⋊C4—21no—
1099C4⋊C4—21no—
1100C4⋊C4—21no—
1101C4⋊C4—21no—
1102C4⋊C4—21no—
1103C4⋊C4—21no—
1104C4⋊C4—21no—
1105C4⋊C4—21no—
1106C4⋊C4—21no—
1107C4⋊C4—21no—
1108C4⋊C4—21no—
1109C4⋊C4—21no—
1110C4⋊C4—21no—
1111C4⋊C4—21no—
1112C4⋊C4—21no—
1113C4⋊C4—21no—
1114C4⋊C4—21no—
1115C4⋊C4—21no—
1116C4⋊C4—21no—
1117C4⋊C4—22no—
1118C4⋊C4—22no—
1119C4⋊C4C2×D4×C1111yescharacteristic
1120C4⋊C4C2×D4×C1111yescharacteristic
1121C4⋊C4C2×D4×C1111yescharacteristic
1122C4⋊C4C2×D4×C1111yescharacteristic
1123C4⋊C4C2×D4×C1111yescharacteristic
1124C4⋊C4C2×D4×C1111yescharacteristic
1125C4⋊C4C24×C1111yescharacteristic
1126C4⋊C4C24×C1111yescharacteristic
1127C4⋊C4C24×C1111yescharacteristic
1128C4⋊C4C24×C1111yescharacteristic
1129C4⋊C4C24×C1112yes—
1130C22⋊C4—22no—
1131C22⋊C4—21no—
1132C22⋊C4—21no—
1133C22⋊C4—21no—
1134C22⋊C4—21no—
1135C22⋊C4—21no—
1136C22⋊C4—22no—
1137C22⋊C4—22no—
1138C22⋊C4—22no—
1139C22⋊C4—22no—
1140C22⋊C4—21no—
1141C22⋊C4—21no—
1142C22⋊C4—21no—
1143C22⋊C4—21no—
1144C22⋊C4—21no—
1145C22⋊C4—21no—
1146C22⋊C4—21no—
1147C22⋊C4—21no—
1148C22⋊C4—22no—
1149C22⋊C4—22no—
1150C22⋊C4—22no—
1151C22⋊C4—22no—
1152C22⋊C4C2×D4×C1111yescharacteristic
1153C22⋊C4C2×D4×C1111yescharacteristic
1154C22⋊C4C2×D4×C1111yescharacteristic
1155C22⋊C4C2×D4×C1111yescharacteristic
1156C22⋊C4C2×D4×C1111yescharacteristic
1157C22⋊C4C2×D4×C1111yescharacteristic
1158C42—21no—
1159C42—21no—
1160C42—21no—
1161C42—21no—
1162C42—21no—
1163C42—21no—
1164C42—21no—
1165C42—21no—
1166C42—21no—
1167C42—22no—
1168C42C2×D4×C1111yescharacteristic
1169C42C2×D4×C1111yescharacteristic
1170C42C2×D4×C1111yescharacteristic
1171C42C2×D4×C1111yescharacteristic
1172C42C2×D4×C1111yescharacteristic
1173C42C2×D4×C1111yescharacteristic
1174C42C24×C1111yescharacteristic
1175C42C24×C1111yescharacteristic
1176C42C24×C1111yescharacteristic
1177C42C24×C1111yescharacteristic
1178C11#6198111yescharacteristic, direct product factor, Sylow
1179C23—21no—
1180C23—22no—
1181C23—22no—
1182C23—44no—
1183C23—82no—
1184C23—82no—
1185C23C22×D4×C1111yescharacteristic
1186C23C22×D4×C1111yescharacteristic
1187C23C22×D4×C1111yescharacteristic
1188Q8—21no—
1189Q8—21no—
1190Q8—21no—
1191Q8—22no—
1192Q8—21no—
1193Q8—21no—
1194Q8—22no—
1195Q8—41no—
1196Q8—42no—
1197Q8—42no—
1198Q8—42no—
1199Q8—42no—
1200Q8C11×H(5,𝔽2)12yes—
1201D4—22no—
1202D4—22no—
1203D4—21no—
1204D4—22no—
1205D4—22no—
1206D4—21no—
1207D4—22no—
1208D4—22no—
1209D4—41no—
1210D4—42no—
1211D4—42no—
1212D4—42no—
1213D4—44no—
1214D4—42no—
1215D4—42no—
1216D4—42no—
1217D4—42no—
1218D4—82no—
1219D4—82no—
1220D4—82no—
1221D4—82no—
1222D4—82no—
1223D4—82no—
1224C2×C4—22no—
1225C2×C4—21no—
1226C2×C4—22no—
1227C2×C4—22no—
1228C2×C4—22no—
1229C2×C4—21no—
1230C2×C4—21no—
1231C2×C4—21no—
1232C2×C4—21no—
1233C2×C4—21no—
1234C2×C4—21no—
1235C2×C4—21no—
1236C2×C4—21no—
1237C2×C4—21no—
1238C2×C4—21no—
1239C2×C4—21no—
1240C2×C4—21no—
1241C2×C4—22no—
1242C2×C4—22no—
1243C2×C4—41no—
1244C2×C4—41no—
1245C2×C4—42no—
1246C2×C4—42no—
1247C2×C4—42no—
1248C2×C4—42no—
1249C2×C4—42no—
1250C2×C4—42no—
1251C2×C4—42no—
1252C2×C4—82no—
1253C2×C4—82no—
1254C2×C4—82no—
1255C2×C4—82no—
1256C2×C4C22×D4×C1111yescharacteristic
1257C2×C4C22×D4×C1111yescharacteristic
1258C2×C4C22×D4×C1111yescharacteristic
1259C2×C4C22×D4×C1111yescharacteristic
1260C2×C4C22×D4×C1111yescharacteristic
1261C2×C4C22×D4×C1111yescharacteristic
1262C2×C4C22×D4×C1111yescharacteristic
1263C2×C4C22×D4×C1111yescharacteristic
1264C2×C4C22×D4×C1111yescharacteristic
1265C2×C4C22×D4×C1111yescharacteristic
1266C2×C4C22×D4×C1111yescharacteristic
1267C2×C4C25×C1111yescharacteristic
1268C8—22no—
1269C8—22no—
1270C8—22no—
1271C8—22no—
1272C22—21no—
1273C22—21no—
1274C22—21no—
1275C22—21no—
1276C22—21no—
1277C22—21no—
1278C22—21no—
1279C22—21no—
1280C22—41no—
1281C22—42no—
1282C22—42no—
1283C22—41no—
1284C22—42no—
1285C22—42no—
1286C22—41no—
1287C22—42no—
1288C22—42no—
1289C22—164no—
1290C22C11×#57512yes—
1291C22C23×D4×C1111yescharacteristic
1292C4—21no—
1293C4—21no—
1294C4—21no—
1295C4—22no—
1296C4—21no—
1297C4—21no—
1298C4—21no—
1299C4—21no—
1300C4—21no—
1301C4—21no—
1302C4—21no—
1303C4—41no—
1304C4—41no—
1305C4—42no—
1306C4—41no—
1307C4—41no—
1308C4—41no—
1309C4—41no—
1310C4—42no—
1311C4C11×#57712yes—
1312C4C2×C11×H(5,𝔽2)11yescharacteristic
1313C4C11×#58511yescharacteristic
1314C2—22no—
1315C2—41no—
1316C2—41no—
1317C2—82no—
1318C2—82no—
1319C2—81no—
1320C2C11×#348811yescharacteristic
1321C2C2×C11×#57511yescharacteristic
1322C2C2×C11×#57711yescharacteristic
subgroupG/H
center, socleC22×C11C23×D4
commutator, Frattini, cosocleC2×C4C25×C11
LCSG ▷ C2×C4 ▷ C2 ▷ C1
UCSC1 ◁ C22×C11 ◁ C4×C11×#41 ◁ G

Complements

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

NH ≅ G/Ntype
1. C11×#3508C2semidirect
2. C11×#3482C2semidirect
3. C11×#3401C2semidirect
4. C11×#3371C2semidirect
5. C11×#3317C2semidirect
6. C11×#3306C2semidirect
7. C11×#3296C2semidirect
8. C11×#3282C2semidirect
9. C11×#3271C2semidirect
10. C11×#3266C2semidirect
11. C11×#3251C2semidirect
12. C11×#3248C2semidirect
13. C11×#3246C2semidirect
14. C11×#3217C2semidirect
15. C11×#3216C2semidirect
16. C11×#3212C2semidirect
17. C11×#3115C2semidirect
18. C11×#3113C2semidirect
19. C11×#3103C2semidirect
20. C11×#3037C2semidirect
21. C11×#3035C2semidirect
22. C2×C11×#460C2semidirect
23. C11×#2990C2semidirect
24. C2×C11×#137C22semidirect
25. C2×C11×#135C22semidirect
29. C11×#557C22semidirect
31. C11×#556C22semidirect
35. C11×#552C22semidirect
40. C11×#548C22semidirect
52. C11×#533C22semidirect
61. C11×#529C22semidirect
65. C4×C11×#41C22semidirect
67. C2×C4×Q8×C11C22semidirect
68. C11×#497C22semidirect
70. C11×#495C22semidirect
72. C11×#489C22semidirect
73. C11×#488C22semidirect
75. C11×#482C22semidirect
76. C11×#481C22semidirect
77. C11×#479C22semidirect
78. C11×#478C22semidirect
79. C11×#476C22semidirect
80. C11×#475C22semidirect
81. C11×#475C22semidirect
82. C11×#475C22semidirect
83. C11×#474C22semidirect
84. C11×#469C22semidirect
85. C11×#468C22semidirect
88. C11×#465C22semidirect
89. C11×#465C22semidirect
90. C11×#464C22semidirect
91. C11×#464C22semidirect
92. C11×#464C22semidirect
93. C11×#464C22semidirect
94. C11×#463C22semidirect
95. C11×#463C22semidirect
96. C11×#462C22semidirect
97. C11×#462C22semidirect
98. C11×#462C22semidirect
99. C11×#461C22semidirect
100. C11×#461C22semidirect
111. C11×#452C22semidirect
112. C11×#452C22semidirect
113. C11×#452C22semidirect
116. C11×#449C22semidirect
117. C11×#449C22semidirect
118. C11×#448C22semidirect
120. C11×#446C22semidirect
121. C11×#442C22semidirect
122. C11×#441C22semidirect
123. C11×#441C22semidirect
124. C11×#440C22semidirect
125. C4×C11×SD16C22semidirect
126. C4×C11×SD16C22semidirect
128. C11×#435C22semidirect
131. C11×#432C22semidirect
132. C11×#431C22semidirect
133. C11×#423C22semidirect
135. C2×C11×C4⋊C8C22semidirect
136. C11×#417C22semidirect
137. C11×#416C22semidirect
345. #61981C11direct (N × H)
518. #3508C2×C11semidirect
519. #3482C2×C11semidirect
520. #3401C2×C11semidirect
521. #3371C2×C11semidirect
522. #3317C2×C11semidirect
523. #3306C2×C11semidirect
524. #3296C2×C11semidirect
525. #3282C2×C11semidirect
526. #3271C2×C11semidirect
527. #3266C2×C11semidirect
528. #3251C2×C11semidirect
529. #3248C2×C11semidirect
530. #3246C2×C11semidirect
531. #3217C2×C11semidirect
532. #3216C2×C11semidirect
533. #3212C2×C11semidirect
534. #3115C2×C11semidirect
535. #3113C2×C11semidirect
536. #3103C2×C11semidirect
537. #3037C2×C11semidirect
538. #3035C2×C11semidirect
539. C2×#460C2×C11semidirect
540. #2990C2×C11semidirect
634. C2×#137C22×C11semidirect
635. C2×#135C22×C11semidirect
639. #557C22×C11semidirect
641. #556C22×C11semidirect
645. #552C22×C11semidirect
650. #548C22×C11semidirect
662. #533C22×C11semidirect
671. #529C22×C11semidirect
675. C4×#41C22×C11semidirect
677. C2×C4×Q8C22×C11semidirect
678. #497C22×C11semidirect
680. #495C22×C11semidirect
682. #489C22×C11semidirect
683. #488C22×C11semidirect
685. #482C22×C11semidirect
686. #481C22×C11semidirect
687. #479C22×C11semidirect
688. #478C22×C11semidirect
689. #476C22×C11semidirect
690. #475C22×C11semidirect
691. #475C22×C11semidirect
692. #475C22×C11semidirect
693. #474C22×C11semidirect
694. #469C22×C11semidirect
695. #468C22×C11semidirect
698. #465C22×C11semidirect
699. #465C22×C11semidirect
700. #464C22×C11semidirect
701. #464C22×C11semidirect
702. #464C22×C11semidirect
703. #464C22×C11semidirect
704. #463C22×C11semidirect
705. #463C22×C11semidirect
706. #462C22×C11semidirect
707. #462C22×C11semidirect
708. #462C22×C11semidirect
709. #461C22×C11semidirect
710. #461C22×C11semidirect
721. #452C22×C11semidirect
722. #452C22×C11semidirect
723. #452C22×C11semidirect
726. #449C22×C11semidirect
727. #449C22×C11semidirect
728. #448C22×C11semidirect
730. #446C22×C11semidirect
731. #442C22×C11semidirect
732. #441C22×C11semidirect
733. #441C22×C11semidirect
734. #440C22×C11semidirect
735. C4×SD16C22×C11semidirect
736. C4×SD16C22×C11semidirect
738. #435C22×C11semidirect
741. #432C22×C11semidirect
742. #431C22×C11semidirect
743. #423C22×C11semidirect
745. C2×C4⋊C8C22×C11semidirect
746. #417C22×C11semidirect
747. #416C22×C11semidirect
1178. C11#61981direct (N × H)

Maximal subgroups

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

subgroupindex
C11×#35082
C11×#34822
C11×#34012
C11×#33712
C11×#33172
C11×#33062
C11×#32962
C11×#32822
C11×#32712
C11×#32662
C11×#32512
C11×#32482
C11×#32462
C11×#32172
C11×#32162
C11×#32122
C11×#31152
C11×#31132
C11×#31032
C11×#30372
C11×#30352
C2×C11×#4602
C11×#29902
#6198111