Finite Group Databasebeta

← C11×#61970 #14639163

Subgroups — C11×#61970 #14639163

Order 2816.

1910 conjugacy classes of subgroups.

The subgroup lattice has 1340 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C11×#3508C211yesmaximal, characteristic, complemented
2C11×#3480C211yesmaximal, characteristic, complemented
3C11×#3403C212yesmaximal, complemented
4C11×#3371C212yesmaximal, complemented
5C11×#3322C212yesmaximal, complemented
6C11×#3311C212yesmaximal, complemented
7C11×#3309C212yesmaximal, complemented
8C11×#3275C212yesmaximal, complemented
9C11×#3271C212yesmaximal, complemented
10C11×#3268C212yesmaximal, complemented
11C11×#3253C211yesmaximal, characteristic, complemented
12C11×#3252C211yesmaximal, characteristic, complemented
13C11×#3247C211yesmaximal, characteristic, complemented
14C11×#3217C211yesmaximal, characteristic, complemented
15C11×#3214C211yesmaximal, characteristic, complemented
16C11×#3212C211yesmaximal, characteristic, complemented
17C11×#3116C211yesmaximal, characteristic, complemented
18C11×#3112C211yesmaximal, characteristic, complemented
19C11×#3106C211yesmaximal, characteristic, complemented
20C11×#3038C211yesmaximal, characteristic, complemented
21C11×#3037C211yesmaximal, characteristic, complemented
22C11×#3035C211yesmaximal, characteristic, complemented
23C11×#2989C211yesmaximal, characteristic, complemented
24C2×C11×#137C2212yescomplemented
25C2×C11×AGL(1,ℤ/8)C2212yes—
26C2×C11×#135C2212yescomplemented
27C11×#559—21no—
28C11×#559—21no—
29C11×#559C2212yes—
30C11×#559C2211yescharacteristic, complemented
31C11×#557C2211yescharacteristic, complemented
32C11×#556—21no—
33C11×#556C2211yescharacteristic
34C11×#553—21no—
35C11×#553—21no—
36C11×#553C2211yescharacteristic
37C11×#553C2211yescharacteristic, complemented
38C11×#550—21no—
39C11×#550C2211yescharacteristic
40C11×#550C2212yes—
41C11×#548C2211yescharacteristic
42C11×#548C2211yescharacteristic, complemented
43C11×#546—21no—
44C11×#546—21no—
45C11×#546C2212yes—
46C11×#546C2212yes—
47C11×#540—21no—
48C11×#540—21no—
49C11×#535—21no—
50C11×#533C2211yescharacteristic
51C11×#532—21no—
52C11×#532C2211yescharacteristic
53C11×#532C2211yescharacteristic
54C11×#532C2211yescharacteristic
55C11×#532C2211yescharacteristic
56C11×#532C2211yescharacteristic, complemented
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
66C4×C11×#41C2211yescharacteristic, complemented
67C2×C4×Q8×C11C2211yescharacteristic, complemented
68C11×#496C2212yes—
69C11×#496C2212yescomplemented
70C11×#495C2212yescomplemented
71C11×#490C2212yes—
72C11×#489C2212yescomplemented
73C11×#488C2212yescomplemented
74C11×#485C2212yes—
75C11×#482C2212yescomplemented
76C11×#480C2212yescomplemented
77C11×#479C2212yescomplemented
78C11×#478C2212yescomplemented
79C11×#477C2211yescharacteristic, complemented
80C11×#477C2211yescharacteristic, complemented
81C11×#476C2211yescharacteristic, complemented
82C11×#476C2211yescharacteristic, complemented
83C11×#476C2212yescomplemented
84C11×#470C2212yes—
85C11×#469C2212yescomplemented
86C11×#469C2212yescomplemented
87C11×#468C2212yes—
88C11×#466C2212yescomplemented
89C11×#465C2212yescomplemented
90C11×#464C2212yescomplemented
91C11×#464C2212yescomplemented
92C11×#464C2212yescomplemented
93C11×#464C2212yescomplemented
94C11×#463C2212yescomplemented
95C11×#463C2212yescomplemented
96C11×#462C2211yescharacteristic, complemented
97C11×#462C2211yescharacteristic, complemented
98C11×#461C2211yescharacteristic, complemented
99C11×#461C2211yescharacteristic, complemented
100C11×#460C2211yescharacteristic
101C11×#460C2211yescharacteristic
102C11×#460C2212yes—
103C11×#460C2211yescharacteristic
104C11×#460C2211yescharacteristic
105C11×#459C2212yes—
106C11×#459C2211yescharacteristic
107C11×#459C2211yescharacteristic
108C11×#459C2211yescharacteristic
109C11×#459C2211yescharacteristic
110C11×#459C2212yescomplemented
111C11×#452C2212yes—
112C11×#452C2212yescomplemented
113C11×#450C2212yes—
114C11×#449C2212yescomplemented
115C11×#449C2212yescomplemented
116C11×#449C2212yescomplemented
117C11×#449C2212yescomplemented
118C11×#448C2212yescomplemented
119C11×#447C2212yes—
120C11×#446C2212yescomplemented
121C11×#441C2212yescomplemented
122C11×#440C2212yescomplemented
123C11×#440C2212yescomplemented
124C11×#440C2212yescomplemented
125C4×C11×SD16C2212yescomplemented
126C4×C11×D8C2212yescomplemented
127C11×#436C2212yes—
128C11×#435C2212yes—
129C11×#435C2212yescomplemented
130C11×#432C2211yescharacteristic
131C11×#432C2211yescharacteristic, complemented
132C11×#431C2211yescharacteristic, complemented
133C11×#423C2211yescharacteristic
134C11×#423C2211yescharacteristic, complemented
135C2×C11×C4⋊C8C2211yescharacteristic, complemented
136C11×#418C2212yes—
137C11×#417C2212yescomplemented
138C11×#416C2212yescomplemented
139C2×C11×#41—21no—
140C2×C11×#41—21no—
141C2×C11×#41—21no—
142C2×C11×#41D411yescharacteristic
143C2×C11×#41C2311yescharacteristic
144C2×C11×#41C2311yescharacteristic
145C2×C11×#41C2312yes—
146C2×C11×#41C2312yes—
147C22×Q8×C11C2311yescharacteristic
148C22×D4×C11—21no—
149C22×D4×C11—21no—
150C22×D4×C11C2312yes—
151C11×#137—44no—
152C11×AGL(1,ℤ/8)—44no—
153C11×#135—44no—
154C2×C11×Q16C2312yes—
155C2×C11×Q16C2312yes—
156C2×C11×SD16C2312yes—
157C2×C11×SD16C2312yes—
158C2×C11×SD16C2312yes—
159C2×C11×SD16C2312yes—
160C2×C11×SD16C2312yes—
161C2×C11×SD16C2312yes—
162C2×C11×D8C2312yes—
163C2×C11×D8C2312yes—
164C2×C11×D8C2312yes—
165C2×C11×D8C2312yes—
166C2×C11×M16C2312yes—
167C2×C11×M16C2312yes—
168C22×C8×C11C2312yes—
169C11×C4⋊Q8—21no—
170C11×C4⋊Q8C2311yescharacteristic
171C11×C4⋊Q8C2311yescharacteristic
172C11×C4⋊Q8C2311yescharacteristic
173C11×#127—21no—
174C11×#127—22no—
175C11×#127—21no—
176C11×#127—21no—
177C11×#127C2312yes—
178C11×#127C2311yescharacteristic
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×#125C2311yescharacteristic
191C11×#125C2311yescharacteristic
192C11×#124—21no—
193C11×#124—22no—
194C11×#124—21no—
195C11×#124—21no—
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⋊Q8C2311yescharacteristic
218C11×C22⋊Q8C2311yescharacteristic
219C11×C22⋊Q8C2312yes—
220C11×#121—21no—
221C11×#121—21no—
222C11×#121—21no—
223C11×#121—21no—
224C11×#121—21no—
225C11×#121—21no—
226C11×#121—21no—
227C11×#121—21no—
228C11×#121—21no—
229C11×#121—21no—
230C11×#121—21no—
231C11×#121—21no—
232C11×#121—21no—
233C11×#121—22no—
234C11×#121—22no—
235C11×#121—22no—
236C11×#121—22no—
237C11×#121C2311yescharacteristic
238C11×#121C2311yescharacteristic
239C11×#121C2312yes—
240C11×#121C2312yes—
241C11×#121C2311yescharacteristic
242C11×#121C2311yescharacteristic
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×C11D411yescharacteristic
251C4×Q8×C11C2311yescharacteristic
252C4×Q8×C11C2311yescharacteristic
253C4×Q8×C11C2311yescharacteristic
254C4×Q8×C11C2311yescharacteristic
255C4×Q8×C11C2311yescharacteristic
256C4×Q8×C11C2311yescharacteristic
257C4×Q8×C11C2312yes—
258C4×Q8×C11C2311yescharacteristic
259C4×D4×C11—21no—
260C4×D4×C11—21no—
261C4×D4×C11—21no—
262C4×D4×C11—21no—
263C4×D4×C11—21no—
264C4×D4×C11—21no—
265C4×D4×C11—21no—
266C4×D4×C11—21no—
267C4×D4×C11—22no—
268C4×D4×C11—22no—
269C4×D4×C11—21no—
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×C11—21no—
279C4×D4×C11—21no—
280C4×D4×C11D411yescharacteristic
281C4×D4×C11D411yescharacteristic
282C4×D4×C11D411yescharacteristic
283C4×D4×C11C2311yescharacteristic
284C4×D4×C11C2311yescharacteristic
285C4×D4×C11C2311yescharacteristic
286C4×D4×C11C2311yescharacteristic
287C4×D4×C11C2312yes—
288C4×D4×C11C2312yes—
289C4×D4×C11C2311yescharacteristic
290C4×D4×C11C2311yescharacteristic
291C4×D4×C11C2311yescharacteristic
292C11×#117—21no—
293C11×#117—21no—
294C11×#117—21no—
295C11×#117—21no—
296C11×#117—21no—
297C11×#117D411yescharacteristic
298C11×#117D411yescharacteristic
299C11×#117D411yescharacteristic
300C11×#117C2311yescharacteristic
301C11×#117C2311yescharacteristic
302C2×C11×C4⋊C4—21no—
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×#107C2312yes—
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×#102C2312yes—
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#61970C1111yesmaximal, characteristic, direct product factor, Sylow
346C24×C11—22no—
347C11×#41—22no—
348C11×#41—22no—
349C11×#41—42no—
350C11×#41—41no—
351C11×#41—41no—
352C11×#41—44no—
353C11×#41—42no—
354C11×#41—42no—
355C11×#41—42no—
356C11×#41—42no—
357C11×#41—82no—
358C11×#41—82no—
359C2×Q8×C11—21no—
360C2×Q8×C11—21no—
361C2×Q8×C11—21no—
362C2×Q8×C11—22no—
363C2×Q8×C11—41no—
364C2×Q8×C11C2×D411yescharacteristic
365C2×Q8×C11C2412yes—
366C2×Q8×C11C2411yescharacteristic
367C2×Q8×C11C2411yescharacteristic
368C2×D4×C11—21no—
369C2×D4×C11—21no—
370C2×D4×C11—21no—
371C2×D4×C11—21no—
372C2×D4×C11—21no—
373C2×D4×C11—21no—
374C2×D4×C11—22no—
375C2×D4×C11—22no—
376C2×D4×C11—22no—
377C2×D4×C11—22no—
378C2×D4×C11—21no—
379C2×D4×C11—21no—
380C2×D4×C11—21no—
381C2×D4×C11—22no—
382C2×D4×C11—21no—
383C2×D4×C11—21no—
384C2×D4×C11—21no—
385C2×D4×C11—22no—
386C2×D4×C11—22no—
387C2×D4×C11—42no—
388C2×D4×C11—42no—
389C2×D4×C11—44no—
390C2×D4×C11—82no—
391C2×D4×C11C2×D411yescharacteristic
392C2×D4×C11C2×D411yescharacteristic
393C2×D4×C11C2×D411yescharacteristic
394C2×D4×C11C2412yes—
395C2×D4×C11C2412yes—
396C2×D4×C11C2411yescharacteristic
397C2×D4×C11C2411yescharacteristic
398C22×C4×C11—21no—
399C22×C4×C11—21no—
400C22×C4×C11—21no—
401C22×C4×C11—21no—
402C22×C4×C11—21no—
403C22×C4×C11—21no—
404C22×C4×C11—21no—
405C22×C4×C11—21no—
406C22×C4×C11—22no—
407C22×C4×C11—22no—
408C22×C4×C11—22no—
409C22×C4×C11—22no—
410C22×C4×C11C2×D411yescharacteristic
411C22×C4×C11C2×D411yescharacteristic
412C22×C4×C11C2×D411yescharacteristic
413C22×C4×C11C2×D411yescharacteristic
414C22×C4×C11C2×D411yescharacteristic
415C22×C4×C11C2×D411yescharacteristic
416C22×C4×C11C2411yescharacteristic
417C22×C4×C11C2411yescharacteristic
418C22×C4×C11C2411yescharacteristic
419C11×Q16—24no—
420C11×Q16—42no—
421C11×SD16—24no—
422C11×SD16—24no—
423C11×SD16—42no—
424C11×SD16—42no—
425C11×SD16—42no—
426C11×SD16—42no—
427C11×D8—42no—
428C11×D8—42no—
429C11×D8—42no—
430C11×D8—42no—
431C11×M16—42no—
432C11×M16—42no—
433C2×C8×C11—42no—
434C2×C8×C11C2412yes—
435C2×C8×C11C2412yes—
436C2×C8×C11C2412yes—
437C2×C8×C11C2412yes—
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—22no—
456C11×C4⋊C4—22no—
457C11×C4⋊C4C2×D411yescharacteristic
458C11×C4⋊C4C2×D411yescharacteristic
459C11×C4⋊C4C2×D411yescharacteristic
460C11×C4⋊C4C2×D411yescharacteristic
461C11×C4⋊C4C2×D411yescharacteristic
462C11×C4⋊C4C2×D411yescharacteristic
463C11×C4⋊C4C2411yescharacteristic
464C11×C4⋊C4C2411yescharacteristic
465C11×C4⋊C4C2411yescharacteristic
466C11×C4⋊C4C2411yescharacteristic
467C11×C4⋊C4C2412yes—
468C11×C22⋊C4—22no—
469C11×C22⋊C4—21no—
470C11×C22⋊C4—21no—
471C11×C22⋊C4—21no—
472C11×C22⋊C4—21no—
473C11×C22⋊C4—22no—
474C11×C22⋊C4—22no—
475C11×C22⋊C4—22no—
476C11×C22⋊C4—22no—
477C11×C22⋊C4—21no—
478C11×C22⋊C4—21no—
479C11×C22⋊C4—21no—
480C11×C22⋊C4—21no—
481C11×C22⋊C4—21no—
482C11×C22⋊C4—21no—
483C11×C22⋊C4—21no—
484C11×C22⋊C4—21no—
485C11×C22⋊C4—22no—
486C11×C22⋊C4—22no—
487C11×C22⋊C4—21no—
488C11×C22⋊C4—21no—
489C11×C22⋊C4—21no—
490C11×C22⋊C4—21no—
491C11×C22⋊C4—22no—
492C11×C22⋊C4—22no—
493C11×C22⋊C4C2×D411yescharacteristic
494C11×C22⋊C4C2×D411yescharacteristic
495C11×C22⋊C4C2×D411yescharacteristic
496C11×C22⋊C4C2×D411yescharacteristic
497C11×C22⋊C4C2×D411yescharacteristic
498C11×C22⋊C4C2×D411yescharacteristic
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#3480C2×C1111yescharacteristic, complemented
520#3403C2×C1112yescomplemented
521#3371C2×C1112yescomplemented
522#3322C2×C1112yescomplemented
523#3311C2×C1112yescomplemented
524#3309C2×C1112yescomplemented
525#3275C2×C1112yescomplemented
526#3271C2×C1112yescomplemented
527#3268C2×C1112yescomplemented
528#3253C2×C1111yescharacteristic, complemented
529#3252C2×C1111yescharacteristic, complemented
530#3247C2×C1111yescharacteristic, complemented
531#3217C2×C1111yescharacteristic, complemented
532#3214C2×C1111yescharacteristic, complemented
533#3212C2×C1111yescharacteristic, complemented
534#3116C2×C1111yescharacteristic, complemented
535#3112C2×C1111yescharacteristic, complemented
536#3106C2×C1111yescharacteristic, complemented
537#3038C2×C1111yescharacteristic, complemented
538#3037C2×C1111yescharacteristic, complemented
539#3035C2×C1111yescharacteristic, complemented
540#2989C2×C1111yescharacteristic, complemented
541C23×C11—21no—
542C23×C11—21no—
543C23×C11—22no—
544C23×C11—22no—
545C23×C11—44no—
546C23×C11—82no—
547C23×C11—82no—
548C23×C11C22×D411yescharacteristic
549C23×C11C22×D411yescharacteristic
550C23×C11C22×D411yescharacteristic
551Q8×C11—21no—
552Q8×C11—21no—
553Q8×C11—22no—
554Q8×C11—21no—
555Q8×C11—22no—
556Q8×C11—41no—
557Q8×C11—42no—
558Q8×C11—42no—
559Q8×C11—42no—
560Q8×C11H(5,𝔽2)12yes—
561D4×C11—21no—
562D4×C11—22no—
563D4×C11—21no—
564D4×C11—22no—
565D4×C11—21no—
566D4×C11—22no—
567D4×C11—21no—
568D4×C11—22no—
569D4×C11—41no—
570D4×C11—41no—
571D4×C11—41no—
572D4×C11—42no—
573D4×C11—42no—
574D4×C11—44no—
575D4×C11—42no—
576D4×C11—42no—
577D4×C11—42no—
578D4×C11—42no—
579D4×C11—42no—
580D4×C11—42no—
581D4×C11—42no—
582D4×C11—81no—
583D4×C11—82no—
584D4×C11—82no—
585D4×C11—81no—
586D4×C11—81no—
587D4×C11—82no—
588D4×C11—82no—
589D4×C11—82no—
590D4×C11—82no—
591C2×C4×C11—21no—
592C2×C4×C11—22no—
593C2×C4×C11—22no—
594C2×C4×C11—22no—
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—21no—
604C2×C4×C11—21no—
605C2×C4×C11—21no—
606C2×C4×C11—22no—
607C2×C4×C11—22no—
608C2×C4×C11—41no—
609C2×C4×C11—41no—
610C2×C4×C11—41no—
611C2×C4×C11—42no—
612C2×C4×C11—42no—
613C2×C4×C11—42no—
614C2×C4×C11—42no—
615C2×C4×C11—42no—
616C2×C4×C11—81no—
617C2×C4×C11—81no—
618C2×C4×C11—82no—
619C2×C4×C11—82no—
620C2×C4×C11—82no—
621C2×C4×C11—82no—
622C2×C4×C11—81no—
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×C11C22×D411yescharacteristic
630C2×C4×C11C22×D411yescharacteristic
631C2×C4×C11C22×D411yescharacteristic
632C2×C4×C11C22×D411yescharacteristic
633C2×C4×C11C22×D411yescharacteristic
634C2×C4×C11C2511yescharacteristic
635C8×C11—22no—
636C8×C11—22no—
637C8×C11—22no—
638C8×C11—22no—
639C2×#137C22×C1112yescomplemented
640C2×AGL(1,ℤ/8)C22×C1112yes—
641C2×#135C22×C1112yescomplemented
642#559—21no—
643#559—21no—
644#559C22×C1112yes—
645#559C22×C1111yescharacteristic, complemented
646#557C22×C1111yescharacteristic, complemented
647#556—21no—
648#556C22×C1111yescharacteristic
649#553—21no—
650#553—21no—
651#553C22×C1111yescharacteristic
652#553C22×C1111yescharacteristic, complemented
653#550—21no—
654#550C22×C1111yescharacteristic
655#550C22×C1112yes—
656#548C22×C1111yescharacteristic
657#548C22×C1111yescharacteristic, complemented
658#546—21no—
659#546—21no—
660#546C22×C1112yes—
661#546C22×C1112yes—
662#540—21no—
663#540—21no—
664#535—21no—
665#533C22×C1111yescharacteristic
666#532—21no—
667#532C22×C1111yescharacteristic
668#532C22×C1111yescharacteristic
669#532C22×C1111yescharacteristic
670#532C22×C1111yescharacteristic
671#532C22×C1111yescharacteristic, complemented
672C2×#127C22×C1111yescharacteristic
673#529—21no—
674#529—21no—
675#529C22×C1111yescharacteristic
676#529C22×C1111yescharacteristic, complemented
677#518—21no—
678C4×#41—21no—
679C4×#41C22×C1111yescharacteristic
680C4×#41C22×C1111yescharacteristic
681C4×#41C22×C1111yescharacteristic, complemented
682C2×C4×Q8C22×C1111yescharacteristic, complemented
683#496C22×C1112yes—
684#496C22×C1112yescomplemented
685#495C22×C1112yescomplemented
686#490C22×C1112yes—
687#489C22×C1112yescomplemented
688#488C22×C1112yescomplemented
689#485C22×C1112yes—
690#482C22×C1112yescomplemented
691#480C22×C1112yescomplemented
692#479C22×C1112yescomplemented
693#478C22×C1112yescomplemented
694#477C22×C1111yescharacteristic, complemented
695#477C22×C1111yescharacteristic, complemented
696#476C22×C1111yescharacteristic, complemented
697#476C22×C1112yescomplemented
698#476C22×C1111yescharacteristic, complemented
699#470C22×C1112yes—
700#469C22×C1112yescomplemented
701#469C22×C1112yescomplemented
702#468C22×C1112yes—
703#466C22×C1112yescomplemented
704#465C22×C1112yescomplemented
705#464C22×C1112yescomplemented
706#464C22×C1112yescomplemented
707#464C22×C1112yescomplemented
708#464C22×C1112yescomplemented
709#463C22×C1112yescomplemented
710#463C22×C1112yescomplemented
711#462C22×C1111yescharacteristic, complemented
712#462C22×C1111yescharacteristic, complemented
713#461C22×C1111yescharacteristic, complemented
714#461C22×C1111yescharacteristic, complemented
715#460C22×C1111yescharacteristic
716#460C22×C1111yescharacteristic
717#460C22×C1111yescharacteristic
718#460C22×C1112yes—
719#460C22×C1111yescharacteristic
720#459C22×C1111yescharacteristic
721#459C22×C1112yes—
722#459C22×C1111yescharacteristic
723#459C22×C1111yescharacteristic
724#459C22×C1111yescharacteristic
725#459C22×C1112yescomplemented
726#452C22×C1112yes—
727#452C22×C1112yescomplemented
728#450C22×C1112yes—
729#449C22×C1112yescomplemented
730#449C22×C1112yescomplemented
731#449C22×C1112yescomplemented
732#449C22×C1112yescomplemented
733#448C22×C1112yescomplemented
734#447C22×C1112yes—
735#446C22×C1112yescomplemented
736#441C22×C1112yescomplemented
737#440C22×C1112yescomplemented
738#440C22×C1112yescomplemented
739#440C22×C1112yescomplemented
740C4×SD16C22×C1112yescomplemented
741C4×D8C22×C1112yescomplemented
742#436C22×C1112yes—
743#435C22×C1112yes—
744#435C22×C1112yescomplemented
745#432C22×C1111yescharacteristic
746#432C22×C1111yescharacteristic, complemented
747#431C22×C1111yescharacteristic, complemented
748#423C22×C1111yescharacteristic
749#423C22×C1111yescharacteristic, complemented
750C2×C4⋊C8C22×C1111yescharacteristic, complemented
751#418C22×C1112yes—
752#417C22×C1112yescomplemented
753#416C22×C1112yescomplemented
754C22×C11—21no—
755C22×C11—21no—
756C22×C11—21no—
757C22×C11—21no—
758C22×C11—21no—
759C22×C11—21no—
760C22×C11—21no—
761C22×C11—21no—
762C22×C11—21no—
763C22×C11—42no—
764C22×C11—42no—
765C22×C11—41no—
766C22×C11—41no—
767C22×C11—41no—
768C22×C11—41no—
769C22×C11—42no—
770C22×C11—42no—
771C22×C11—41no—
772C22×C11—41no—
773C22×C11—42no—
774C22×C11—42no—
775C22×C11—164no—
776C22×C11C23×D411yescharacteristic
777C4×C11—21no—
778C4×C11—21no—
779C4×C11—21no—
780C4×C11—21no—
781C4×C11—21no—
782C4×C11—21no—
783C4×C11—21no—
784C4×C11—22no—
785C4×C11—21no—
786C4×C11—21no—
787C4×C11—21no—
788C4×C11—41no—
789C4×C11—42no—
790C4×C11—41no—
791C4×C11—41no—
792C4×C11—42no—
793C4×C11—41no—
794C4×C11—41no—
795C4×C11#57512yes—
796C4×C11C2×H(5,𝔽2)11yescharacteristic
797C4×C11#58511yescharacteristic
798C2×#41—21no—
799C2×#41—21no—
800C2×#41—21no—
801C2×#41D4×C1111yescharacteristic
802C2×#41C23×C1111yescharacteristic
803C2×#41C23×C1111yescharacteristic
804C2×#41C23×C1112yes—
805C2×#41C23×C1112yes—
806C22×Q8C23×C1111yescharacteristic
807C22×D4—21no—
808C22×D4—21no—
809C22×D4C23×C1112yes—
810#137—44no—
811AGL(1,ℤ/8)—44no—
812#135—44no—
813C2×Q16C23×C1112yes—
814C2×Q16C23×C1112yes—
815C2×SD16C23×C1112yes—
816C2×SD16C23×C1112yes—
817C2×SD16C23×C1112yes—
818C2×SD16C23×C1112yes—
819C2×SD16C23×C1112yes—
820C2×SD16C23×C1112yes—
821C2×D8C23×C1112yes—
822C2×D8C23×C1112yes—
823C2×D8C23×C1112yes—
824C2×D8C23×C1112yes—
825C2×M16C23×C1112yes—
826C2×M16C23×C1112yes—
827C22×C8C23×C1112yes—
828C4⋊Q8—21no—
829C4⋊Q8C23×C1111yescharacteristic
830C4⋊Q8C23×C1111yescharacteristic
831C4⋊Q8C23×C1111yescharacteristic
832#127—21no—
833#127—22no—
834#127—21no—
835#127—21no—
836#127C23×C1111yescharacteristic
837#127C23×C1111yescharacteristic
838#127C23×C1112yes—
839#127C23×C1111yescharacteristic
840#126—21no—
841#126—21no—
842#126—21no—
843#126—21no—
844#126—21no—
845#126—21no—
846#125—21no—
847#125—21no—
848#125—21no—
849#125C23×C1111yescharacteristic
850#125C23×C1111yescharacteristic
851#124—21no—
852#124—22no—
853#124—21no—
854#124—21no—
855#124—21no—
856#124—21no—
857#124—21no—
858#124—21no—
859#124C23×C1111yescharacteristic
860#124C23×C1111yescharacteristic
861#124C23×C1112yes—
862#124C23×C1112yes—
863#123—21no—
864#123—21no—
865#123—21no—
866#123—21no—
867#123—22no—
868#123—22no—
869#123—22no—
870#123—22no—
871#123—21no—
872#123—21no—
873C22⋊Q8—21no—
874C22⋊Q8—21no—
875C22⋊Q8—21no—
876C22⋊Q8C23×C1111yescharacteristic
877C22⋊Q8C23×C1111yescharacteristic
878C22⋊Q8C23×C1112yes—
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—21no—
888#121—21no—
889#121—21no—
890#121—21no—
891#121—21no—
892#121—22no—
893#121—22no—
894#121—22no—
895#121—22no—
896#121C23×C1111yescharacteristic
897#121C23×C1111yescharacteristic
898#121C23×C1112yes—
899#121C23×C1112yes—
900#121C23×C1111yescharacteristic
901#121C23×C1111yescharacteristic
902#120—22no—
903#120—22no—
904C4×Q8—21no—
905C4×Q8—21no—
906C4×Q8—21no—
907C4×Q8—21no—
908C4×Q8—21no—
909C4×Q8D4×C1111yescharacteristic
910C4×Q8C23×C1111yescharacteristic
911C4×Q8C23×C1111yescharacteristic
912C4×Q8C23×C1111yescharacteristic
913C4×Q8C23×C1111yescharacteristic
914C4×Q8C23×C1111yescharacteristic
915C4×Q8C23×C1111yescharacteristic
916C4×Q8C23×C1112yes—
917C4×Q8C23×C1111yescharacteristic
918C4×D4—21no—
919C4×D4—21no—
920C4×D4—21no—
921C4×D4—21no—
922C4×D4—21no—
923C4×D4—21no—
924C4×D4—21no—
925C4×D4—21no—
926C4×D4—22no—
927C4×D4—22no—
928C4×D4—21no—
929C4×D4—21no—
930C4×D4—21no—
931C4×D4—21no—
932C4×D4—21no—
933C4×D4—21no—
934C4×D4—21no—
935C4×D4—21no—
936C4×D4—21no—
937C4×D4—21no—
938C4×D4—21no—
939C4×D4D4×C1111yescharacteristic
940C4×D4D4×C1111yescharacteristic
941C4×D4D4×C1111yescharacteristic
942C4×D4C23×C1111yescharacteristic
943C4×D4C23×C1111yescharacteristic
944C4×D4C23×C1111yescharacteristic
945C4×D4C23×C1111yescharacteristic
946C4×D4C23×C1112yes—
947C4×D4C23×C1112yes—
948C4×D4C23×C1111yescharacteristic
949C4×D4C23×C1111yescharacteristic
950C4×D4C23×C1111yescharacteristic
951#117—21no—
952#117—21no—
953#117—21no—
954#117—21no—
955#117—21no—
956#117D4×C1111yescharacteristic
957#117D4×C1111yescharacteristic
958#117D4×C1111yescharacteristic
959#117C23×C1111yescharacteristic
960#117C23×C1111yescharacteristic
961C2×C4⋊C4—21no—
962C2×C4⋊C4C23×C1111yescharacteristic
963C2×C22⋊C4—22no—
964C2×C22⋊C4—22no—
965C2×C42—21no—
966C2×C42—21no—
967C2×C42—21no—
968C2×C42C23×C1111yescharacteristic
969C2×C42C23×C1111yescharacteristic
970C2×C42C23×C1111yescharacteristic
971#107C23×C1112yes—
972#107C23×C1112yes—
973#106C23×C1112yes—
974#106C23×C1112yes—
975C4⋊C8C23×C1111yescharacteristic
976C4⋊C8C23×C1111yescharacteristic
977C4⋊C8C23×C1112yes—
978C4⋊C8C23×C1111yescharacteristic
979C4⋊C8C23×C1112yes—
980C4⋊C8C23×C1112yes—
981C4⋊C8C23×C1111yescharacteristic
982#103C23×C1112yes—
983#103C23×C1112yes—
984#103C23×C1112yes—
985#103C23×C1112yes—
986#103C23×C1112yes—
987#103C23×C1112yes—
988#102C23×C1112yes—
989#102C23×C1112yes—
990#102C23×C1112yes—
991#102C23×C1112yes—
992#102C23×C1112yes—
993#102C23×C1112yes—
994#102C23×C1112yes—
995#102C23×C1112yes—
996#102C23×C1112yes—
997#102C23×C1112yes—
998C22⋊C8C23×C1112yes—
999C22⋊C8C23×C1112yes—
1000C22⋊C8C23×C1112yes—
1001#97C23×C1112yes—
1002#97C23×C1112yes—
1003C4×C8C23×C1112yes—
1004C2×C11—41no—
1005C2×C11—41no—
1006C2×C11—41no—
1007C2×C11—81no—
1008C2×C11—81no—
1009C2×C11—82no—
1010C2×C11—82no—
1011C2×C11#348811yescharacteristic
1012C2×C11C2×#57511yescharacteristic
1013C2×C11#358511yescharacteristic
1014C24—22no—
1015#41—22no—
1016#41—22no—
1017#41—42no—
1018#41—41no—
1019#41—41no—
1020#41—44no—
1021#41—42no—
1022#41—42no—
1023#41—42no—
1024#41—42no—
1025#41—82no—
1026#41—82no—
1027C2×Q8—21no—
1028C2×Q8—21no—
1029C2×Q8—21no—
1030C2×Q8—22no—
1031C2×Q8—41no—
1032C2×Q8C2×D4×C1111yescharacteristic
1033C2×Q8C24×C1112yes—
1034C2×Q8C24×C1111yescharacteristic
1035C2×Q8C24×C1111yescharacteristic
1036C2×D4—21no—
1037C2×D4—21no—
1038C2×D4—21no—
1039C2×D4—21no—
1040C2×D4—21no—
1041C2×D4—21no—
1042C2×D4—22no—
1043C2×D4—22no—
1044C2×D4—22no—
1045C2×D4—22no—
1046C2×D4—21no—
1047C2×D4—21no—
1048C2×D4—21no—
1049C2×D4—22no—
1050C2×D4—21no—
1051C2×D4—21no—
1052C2×D4—21no—
1053C2×D4—22no—
1054C2×D4—22no—
1055C2×D4—42no—
1056C2×D4—42no—
1057C2×D4—44no—
1058C2×D4—82no—
1059C2×D4C2×D4×C1111yescharacteristic
1060C2×D4C2×D4×C1111yescharacteristic
1061C2×D4C2×D4×C1111yescharacteristic
1062C2×D4C24×C1112yes—
1063C2×D4C24×C1112yes—
1064C2×D4C24×C1111yescharacteristic
1065C2×D4C24×C1111yescharacteristic
1066C22×C4—21no—
1067C22×C4—21no—
1068C22×C4—21no—
1069C22×C4—21no—
1070C22×C4—21no—
1071C22×C4—21no—
1072C22×C4—21no—
1073C22×C4—21no—
1074C22×C4—22no—
1075C22×C4—22no—
1076C22×C4—22no—
1077C22×C4—22no—
1078C22×C4C2×D4×C1111yescharacteristic
1079C22×C4C2×D4×C1111yescharacteristic
1080C22×C4C2×D4×C1111yescharacteristic
1081C22×C4C2×D4×C1111yescharacteristic
1082C22×C4C2×D4×C1111yescharacteristic
1083C22×C4C2×D4×C1111yescharacteristic
1084C22×C4C24×C1111yescharacteristic
1085C22×C4C24×C1111yescharacteristic
1086C22×C4C24×C1111yescharacteristic
1087Q16—24no—
1088Q16—42no—
1089SD16—24no—
1090SD16—24no—
1091SD16—42no—
1092SD16—42no—
1093SD16—42no—
1094SD16—42no—
1095D8—42no—
1096D8—42no—
1097D8—42no—
1098D8—42no—
1099M16—42no—
1100M16—42no—
1101C2×C8—42no—
1102C2×C8C24×C1112yes—
1103C2×C8C24×C1112yes—
1104C2×C8C24×C1112yes—
1105C2×C8C24×C1112yes—
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—21no—
1118C4⋊C4—21no—
1119C4⋊C4—21no—
1120C4⋊C4—21no—
1121C4⋊C4—21no—
1122C4⋊C4—21no—
1123C4⋊C4—22no—
1124C4⋊C4—22no—
1125C4⋊C4C2×D4×C1111yescharacteristic
1126C4⋊C4C2×D4×C1111yescharacteristic
1127C4⋊C4C2×D4×C1111yescharacteristic
1128C4⋊C4C2×D4×C1111yescharacteristic
1129C4⋊C4C2×D4×C1111yescharacteristic
1130C4⋊C4C2×D4×C1111yescharacteristic
1131C4⋊C4C24×C1111yescharacteristic
1132C4⋊C4C24×C1111yescharacteristic
1133C4⋊C4C24×C1111yescharacteristic
1134C4⋊C4C24×C1111yescharacteristic
1135C4⋊C4C24×C1112yes—
1136C22⋊C4—22no—
1137C22⋊C4—21no—
1138C22⋊C4—21no—
1139C22⋊C4—21no—
1140C22⋊C4—21no—
1141C22⋊C4—22no—
1142C22⋊C4—22no—
1143C22⋊C4—22no—
1144C22⋊C4—22no—
1145C22⋊C4—21no—
1146C22⋊C4—21no—
1147C22⋊C4—21no—
1148C22⋊C4—21no—
1149C22⋊C4—21no—
1150C22⋊C4—21no—
1151C22⋊C4—21no—
1152C22⋊C4—21no—
1153C22⋊C4—22no—
1154C22⋊C4—22no—
1155C22⋊C4—21no—
1156C22⋊C4—21no—
1157C22⋊C4—21no—
1158C22⋊C4—21no—
1159C22⋊C4—22no—
1160C22⋊C4—22no—
1161C22⋊C4C2×D4×C1111yescharacteristic
1162C22⋊C4C2×D4×C1111yescharacteristic
1163C22⋊C4C2×D4×C1111yescharacteristic
1164C22⋊C4C2×D4×C1111yescharacteristic
1165C22⋊C4C2×D4×C1111yescharacteristic
1166C22⋊C4C2×D4×C1111yescharacteristic
1167C42—21no—
1168C42—21no—
1169C42—21no—
1170C42—21no—
1171C42—21no—
1172C42—21no—
1173C42—21no—
1174C42—21no—
1175C42—22no—
1176C42C2×D4×C1111yescharacteristic
1177C42C2×D4×C1111yescharacteristic
1178C42C2×D4×C1111yescharacteristic
1179C42C2×D4×C1111yescharacteristic
1180C42C2×D4×C1111yescharacteristic
1181C42C2×D4×C1111yescharacteristic
1182C42C24×C1111yescharacteristic
1183C42C24×C1111yescharacteristic
1184C42C24×C1111yescharacteristic
1185C42C24×C1111yescharacteristic
1186C11#6197011yescharacteristic, direct product factor, Sylow
1187C23—21no—
1188C23—21no—
1189C23—22no—
1190C23—22no—
1191C23—44no—
1192C23—82no—
1193C23—82no—
1194C23C22×D4×C1111yescharacteristic
1195C23C22×D4×C1111yescharacteristic
1196C23C22×D4×C1111yescharacteristic
1197Q8—21no—
1198Q8—21no—
1199Q8—22no—
1200Q8—21no—
1201Q8—22no—
1202Q8—41no—
1203Q8—42no—
1204Q8—42no—
1205Q8—42no—
1206Q8C11×H(5,𝔽2)12yes—
1207D4—21no—
1208D4—22no—
1209D4—21no—
1210D4—22no—
1211D4—21no—
1212D4—22no—
1213D4—21no—
1214D4—22no—
1215D4—41no—
1216D4—41no—
1217D4—41no—
1218D4—42no—
1219D4—42no—
1220D4—44no—
1221D4—42no—
1222D4—42no—
1223D4—42no—
1224D4—42no—
1225D4—42no—
1226D4—42no—
1227D4—42no—
1228D4—81no—
1229D4—82no—
1230D4—82no—
1231D4—81no—
1232D4—81no—
1233D4—82no—
1234D4—82no—
1235D4—82no—
1236D4—82no—
1237C2×C4—21no—
1238C2×C4—22no—
1239C2×C4—22no—
1240C2×C4—22no—
1241C2×C4—21no—
1242C2×C4—21no—
1243C2×C4—21no—
1244C2×C4—21no—
1245C2×C4—21no—
1246C2×C4—21no—
1247C2×C4—21no—
1248C2×C4—21no—
1249C2×C4—21no—
1250C2×C4—21no—
1251C2×C4—21no—
1252C2×C4—22no—
1253C2×C4—22no—
1254C2×C4—41no—
1255C2×C4—41no—
1256C2×C4—41no—
1257C2×C4—42no—
1258C2×C4—42no—
1259C2×C4—42no—
1260C2×C4—42no—
1261C2×C4—42no—
1262C2×C4—81no—
1263C2×C4—81no—
1264C2×C4—82no—
1265C2×C4—82no—
1266C2×C4—82no—
1267C2×C4—82no—
1268C2×C4—81no—
1269C2×C4C22×D4×C1111yescharacteristic
1270C2×C4C22×D4×C1111yescharacteristic
1271C2×C4C22×D4×C1111yescharacteristic
1272C2×C4C22×D4×C1111yescharacteristic
1273C2×C4C22×D4×C1111yescharacteristic
1274C2×C4C22×D4×C1111yescharacteristic
1275C2×C4C22×D4×C1111yescharacteristic
1276C2×C4C22×D4×C1111yescharacteristic
1277C2×C4C22×D4×C1111yescharacteristic
1278C2×C4C22×D4×C1111yescharacteristic
1279C2×C4C22×D4×C1111yescharacteristic
1280C2×C4C25×C1111yescharacteristic
1281C8—22no—
1282C8—22no—
1283C8—22no—
1284C8—22no—
1285C22—21no—
1286C22—21no—
1287C22—21no—
1288C22—21no—
1289C22—21no—
1290C22—21no—
1291C22—21no—
1292C22—21no—
1293C22—21no—
1294C22—41no—
1295C22—41no—
1296C22—42no—
1297C22—42no—
1298C22—41no—
1299C22—41no—
1300C22—42no—
1301C22—42no—
1302C22—42no—
1303C22—42no—
1304C22—41no—
1305C22—41no—
1306C22—164no—
1307C22C23×D4×C1111yescharacteristic
1308C4—21no—
1309C4—21no—
1310C4—21no—
1311C4—22no—
1312C4—21no—
1313C4—21no—
1314C4—21no—
1315C4—21no—
1316C4—21no—
1317C4—21no—
1318C4—21no—
1319C4—41no—
1320C4—42no—
1321C4—41no—
1322C4—41no—
1323C4—41no—
1324C4—42no—
1325C4—41no—
1326C4C11×#57512yes—
1327C4C2×C11×H(5,𝔽2)11yescharacteristic
1328C4C11×#58511yescharacteristic
1329C2—41no—
1330C2—41no—
1331C2—41no—
1332C2—82no—
1333C2—82no—
1334C2—81no—
1335C2—81no—
1336C2C11×#348811yescharacteristic
1337C2C2×C11×#57511yescharacteristic
1338C2C11×#358511yescharacteristic
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×#3480C2semidirect
3. C11×#3403C2semidirect
4. C11×#3371C2semidirect
5. C11×#3322C2semidirect
6. C11×#3311C2semidirect
7. C11×#3309C2semidirect
8. C11×#3275C2semidirect
9. C11×#3271C2semidirect
10. C11×#3268C2semidirect
11. C11×#3253C2semidirect
12. C11×#3252C2semidirect
13. C11×#3247C2semidirect
14. C11×#3217C2semidirect
15. C11×#3214C2semidirect
16. C11×#3212C2semidirect
17. C11×#3116C2semidirect
18. C11×#3112C2semidirect
19. C11×#3106C2semidirect
20. C11×#3038C2semidirect
21. C11×#3037C2semidirect
22. C11×#3035C2semidirect
23. C11×#2989C2semidirect
24. C2×C11×#137C22semidirect
26. C2×C11×#135C22semidirect
30. C11×#559C22semidirect
31. C11×#557C22semidirect
37. C11×#553C22semidirect
42. C11×#548C22semidirect
56. C11×#532C22semidirect
61. C11×#529C22semidirect
66. C4×C11×#41C22semidirect
67. C2×C4×Q8×C11C22semidirect
69. C11×#496C22semidirect
70. C11×#495C22semidirect
72. C11×#489C22semidirect
73. C11×#488C22semidirect
75. C11×#482C22semidirect
76. C11×#480C22semidirect
77. C11×#479C22semidirect
78. C11×#478C22semidirect
79. C11×#477C22semidirect
80. C11×#477C22semidirect
81. C11×#476C22semidirect
82. C11×#476C22semidirect
83. C11×#476C22semidirect
85. C11×#469C22semidirect
86. C11×#469C22semidirect
88. C11×#466C22semidirect
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×#461C22semidirect
99. C11×#461C22semidirect
110. C11×#459C22semidirect
112. C11×#452C22semidirect
114. C11×#449C22semidirect
115. C11×#449C22semidirect
116. C11×#449C22semidirect
117. C11×#449C22semidirect
118. C11×#448C22semidirect
120. C11×#446C22semidirect
121. C11×#441C22semidirect
122. C11×#440C22semidirect
123. C11×#440C22semidirect
124. C11×#440C22semidirect
125. C4×C11×SD16C22semidirect
126. C4×C11×D8C22semidirect
129. C11×#435C22semidirect
131. C11×#432C22semidirect
132. C11×#431C22semidirect
134. C11×#423C22semidirect
135. C2×C11×C4⋊C8C22semidirect
137. C11×#417C22semidirect
138. C11×#416C22semidirect
345. #61970C11direct (N × H)
518. #3508C2×C11semidirect
519. #3480C2×C11semidirect
520. #3403C2×C11semidirect
521. #3371C2×C11semidirect
522. #3322C2×C11semidirect
523. #3311C2×C11semidirect
524. #3309C2×C11semidirect
525. #3275C2×C11semidirect
526. #3271C2×C11semidirect
527. #3268C2×C11semidirect
528. #3253C2×C11semidirect
529. #3252C2×C11semidirect
530. #3247C2×C11semidirect
531. #3217C2×C11semidirect
532. #3214C2×C11semidirect
533. #3212C2×C11semidirect
534. #3116C2×C11semidirect
535. #3112C2×C11semidirect
536. #3106C2×C11semidirect
537. #3038C2×C11semidirect
538. #3037C2×C11semidirect
539. #3035C2×C11semidirect
540. #2989C2×C11semidirect
639. C2×#137C22×C11semidirect
641. C2×#135C22×C11semidirect
645. #559C22×C11semidirect
646. #557C22×C11semidirect
652. #553C22×C11semidirect
657. #548C22×C11semidirect
671. #532C22×C11semidirect
676. #529C22×C11semidirect
681. C4×#41C22×C11semidirect
682. C2×C4×Q8C22×C11semidirect
684. #496C22×C11semidirect
685. #495C22×C11semidirect
687. #489C22×C11semidirect
688. #488C22×C11semidirect
690. #482C22×C11semidirect
691. #480C22×C11semidirect
692. #479C22×C11semidirect
693. #478C22×C11semidirect
694. #477C22×C11semidirect
695. #477C22×C11semidirect
696. #476C22×C11semidirect
697. #476C22×C11semidirect
698. #476C22×C11semidirect
700. #469C22×C11semidirect
701. #469C22×C11semidirect
703. #466C22×C11semidirect
704. #465C22×C11semidirect
705. #464C22×C11semidirect
706. #464C22×C11semidirect
707. #464C22×C11semidirect
708. #464C22×C11semidirect
709. #463C22×C11semidirect
710. #463C22×C11semidirect
711. #462C22×C11semidirect
712. #462C22×C11semidirect
713. #461C22×C11semidirect
714. #461C22×C11semidirect
725. #459C22×C11semidirect
727. #452C22×C11semidirect
729. #449C22×C11semidirect
730. #449C22×C11semidirect
731. #449C22×C11semidirect
732. #449C22×C11semidirect
733. #448C22×C11semidirect
735. #446C22×C11semidirect
736. #441C22×C11semidirect
737. #440C22×C11semidirect
738. #440C22×C11semidirect
739. #440C22×C11semidirect
740. C4×SD16C22×C11semidirect
741. C4×D8C22×C11semidirect
744. #435C22×C11semidirect
746. #432C22×C11semidirect
747. #431C22×C11semidirect
749. #423C22×C11semidirect
750. C2×C4⋊C8C22×C11semidirect
752. #417C22×C11semidirect
753. #416C22×C11semidirect
1186. C11#61970direct (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×#34802
C11×#34032
C11×#33712
C11×#33222
C11×#33112
C11×#33092
C11×#32752
C11×#32712
C11×#32682
C11×#32532
C11×#32522
C11×#32472
C11×#32172
C11×#32142
C11×#32122
C11×#31162
C11×#31122
C11×#31062
C11×#30382
C11×#30372
C11×#30352
C11×#29892
#6197011