Finite Group Databasebeta

← C11×#61107 #14638300

Subgroups — C11×#61107 #14638300

Order 2816.

2624 conjugacy classes of subgroups.

The subgroup lattice has 1408 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C11×#3586C211yesmaximal, characteristic, complemented
2C11×#3585C211yesmaximal, characteristic, complemented
3C11×#3584C211yesmaximal, characteristic, complemented
4C2×C11×#577C211yesmaximal, characteristic, complemented
5C11×#3291C214yesmaximal, complemented
6C11×#3290C214yesmaximal, complemented
7C11×#3289C214yesmaximal, complemented
8C11×#3288C214yesmaximal, complemented
9C11×#3154C211yesmaximal, characteristic, complemented
10C11×#3069C211yesmaximal, characteristic, complemented
11C11×#3068C211yesmaximal, characteristic, complemented
12C11×#3067C211yesmaximal, characteristic, complemented
13C2×C11×#471C211yesmaximal, characteristic, complemented
14C11×#3022C211yesmaximal, characteristic, complemented
15C11×#3021C211yesmaximal, characteristic, complemented
16C11×#3020C211yesmaximal, characteristic, complemented
17C11×#3019C211yesmaximal, characteristic, complemented
18C11×#2957C211yesmaximal, characteristic, complemented
19C11×#2955C211yesmaximal, characteristic, complemented
20C11×#585C2211yescharacteristic
21C11×#585C2211yescharacteristic, complemented
22C2×C11×2−1+4C2211yescharacteristic, complemented
23C2×C11×H(5,𝔽2)C2211yescharacteristic, complemented
24C11×#578—22no—
25C11×#578—21no—
26C11×#578C2212yescomplemented
27C11×#578C2214yescomplemented
28C11×#577—22no—
29C11×#577—22no—
30C11×#577—22no—
31C11×#577—22no—
32C11×#577—21no—
33C11×#577—21no—
34C11×#577C2214yescomplemented
35C11×#577C2214yescomplemented
36C11×#577C2214yescomplemented
37C11×#577C2214yescomplemented
38C11×#577C2212yescomplemented
39C11×#577C2212yescomplemented
40C11×#576—22no—
41C11×#576—21no—
42C11×#576C2214yescomplemented
43C11×#576C2212yescomplemented
44C11×#575—22no—
45C11×#575—22no—
46C11×#575—22no—
47C11×#575C2211yescharacteristic
48C11×#575C2211yescharacteristic
49C11×#575C2211yescharacteristic, complemented
50C11×#575C2211yescharacteristic, complemented
51C11×#575C2211yescharacteristic, complemented
52C2×C11×#137—22no—
53C2×C11×#137—21no—
54C2×C11×#137C2211yescharacteristic, complemented
55C2×C11×#137C2211yescharacteristic, complemented
56C2×C11×#137C2211yescharacteristic, complemented
57C2×C11×AGL(1,ℤ/8)—22no—
58C2×C11×AGL(1,ℤ/8)—21no—
59C2×C11×AGL(1,ℤ/8)C2211yescharacteristic
60C2×C11×AGL(1,ℤ/8)C2211yescharacteristic, complemented
61C2×C11×AGL(1,ℤ/8)C2211yescharacteristic, complemented
62C2×C11×#135—22no—
63C2×C11×#135—21no—
64C2×C11×#135C2211yescharacteristic
65C2×C11×#135C2211yescharacteristic, complemented
66C22×C11×SD16—21no—
67C22×C11×SD16C2211yescharacteristic, complemented
68C11×#568C2211yescharacteristic, complemented
69C11×#568C2211yescharacteristic, complemented
70C2×C11×#131C2211yescharacteristic, complemented
71C2×C11×#131C2211yescharacteristic, complemented
72C11×#536C2211yescharacteristic, complemented
73C11×#535C2211yescharacteristic, complemented
74C11×#497C2212yescomplemented
75C11×#496C2212yescomplemented
76C11×#495C2212yescomplemented
77C11×#492C2212yescomplemented
78C11×#473C2212yescomplemented
79C11×#473C2214yescomplemented
80C11×#472C2214yescomplemented
81C11×#472C2212yescomplemented
82C11×#471C2214yescomplemented
83C11×#471C2214yescomplemented
84C11×#471C2214yescomplemented
85C11×#471C2214yescomplemented
86C11×#471C2212yescomplemented
87C11×#471C2212yescomplemented
88C11×#456C2214yescomplemented
89C11×#456C2214yescomplemented
90C11×#455C2214yescomplemented
91C11×#455C2214yescomplemented
92C11×#454C2214yescomplemented
93C11×#454C2214yescomplemented
94C11×#453C2214yescomplemented
95C11×#453C2214yescomplemented
96C11×#444C2214yescomplemented
97C11×#444C2214yescomplemented
98C11×#443C2214yescomplemented
99C11×#443C2214yescomplemented
100C11×#430C2211yescharacteristic, complemented
101C2×C11×#108C2211yescharacteristic, complemented
102C11×#421C2211yescharacteristic, complemented
103C11×#421C2211yescharacteristic, complemented
104C11×#421C2211yescharacteristic, complemented
105C11×#421C2211yescharacteristic, complemented
106C11×#413C2211yescharacteristic, complemented
107C11×#413C2211yescharacteristic, complemented
108C2×C11×#101C2211yescharacteristic, complemented
109C2×C11×#100C2211yescharacteristic, complemented
110C11×#405C2211yescharacteristic, complemented
111C11×2−1+4—22no—
112C11×2−1+4—22no—
113C11×2−1+4—21no—
114C11×2−1+4—21no—
115C11×2−1+4—21no—
116C11×2−1+4—21no—
117C11×2−1+4—41no—
118C11×2−1+4C2314yes—
119C11×2−1+4C2312yes—
120C11×2−1+4C2312yescomplemented
121C11×H(5,𝔽2)—22no—
122C11×H(5,𝔽2)—22no—
123C11×H(5,𝔽2)—21no—
124C11×H(5,𝔽2)—21no—
125C11×H(5,𝔽2)—21no—
126C11×H(5,𝔽2)—21no—
127C11×H(5,𝔽2)—41no—
128C11×H(5,𝔽2)—41no—
129C11×H(5,𝔽2)—41no—
130C11×H(5,𝔽2)C2312yes—
131C11×H(5,𝔽2)C2314yes—
132C11×H(5,𝔽2)C2312yescomplemented
133C2×C11×#41—22no—
134C2×C11×#41—22no—
135C2×C11×#41—22no—
136C2×C11×#41—22no—
137C2×C11×#41—21no—
138C2×C11×#41—21no—
139C2×C11×#41—21no—
140C2×C11×#41—21no—
141C2×C11×#41—41no—
142C2×C11×#41—41no—
143C2×C11×#41—41no—
144C2×C11×#41C2311yescharacteristic
145C2×C11×#41C2311yescharacteristic
146C2×C11×#41C2311yescharacteristic
147C2×C11×#41C2311yescharacteristic
148C2×C11×#41C2311yescharacteristic
149C2×C11×#41C2311yescharacteristic
150C22×Q8×C11—21no—
151C22×Q8×C11—21no—
152C22×Q8×C11C2311yescharacteristic
153C22×D4×C11—21no—
154C22×D4×C11—21no—
155C22×D4×C11—41no—
156C22×D4×C11C2311yescharacteristic
157C11×#137—22no—
158C11×#137—22no—
159C11×#137—21no—
160C11×#137—21no—
161C11×#137—21no—
162C11×#137—21no—
163C11×#137—24no—
164C11×#137—24no—
165C11×#137—24no—
166C11×#137—24no—
167C11×#137—22no—
168C11×#137—22no—
169C11×#137—24no—
170C11×#137—22no—
171C11×#137—22no—
172C11×#137—24no—
173C11×#137—22no—
174C11×#137—22no—
175C11×#137D412yescomplemented
176C11×#137D412yescomplemented
177C11×#137C2314yes—
178C11×#137C2312yes—
179C11×#137C2312yes—
180C11×#137C2312yes—
181C11×#137C2314yescomplemented
182C11×#137C2312yescomplemented
183C11×AGL(1,ℤ/8)—22no—
184C11×AGL(1,ℤ/8)—22no—
185C11×AGL(1,ℤ/8)—21no—
186C11×AGL(1,ℤ/8)—21no—
187C11×AGL(1,ℤ/8)—21no—
188C11×AGL(1,ℤ/8)—21no—
189C11×AGL(1,ℤ/8)—24no—
190C11×AGL(1,ℤ/8)—24no—
191C11×AGL(1,ℤ/8)—22no—
192C11×AGL(1,ℤ/8)—22no—
193C11×AGL(1,ℤ/8)—24no—
194C11×AGL(1,ℤ/8)—24no—
195C11×AGL(1,ℤ/8)—24no—
196C11×AGL(1,ℤ/8)—22no—
197C11×AGL(1,ℤ/8)—22no—
198C11×AGL(1,ℤ/8)—24no—
199C11×AGL(1,ℤ/8)—22no—
200C11×AGL(1,ℤ/8)—22no—
201C11×AGL(1,ℤ/8)D412yescomplemented
202C11×AGL(1,ℤ/8)D412yescomplemented
203C11×AGL(1,ℤ/8)C2314yes—
204C11×AGL(1,ℤ/8)C2314yes—
205C11×AGL(1,ℤ/8)C2312yes—
206C11×AGL(1,ℤ/8)C2312yes—
207C11×AGL(1,ℤ/8)C2312yes—
208C11×AGL(1,ℤ/8)C2312yescomplemented
209C11×#135—22no—
210C11×#135—22no—
211C11×#135—22no—
212C11×#135—22no—
213C11×#135—22no—
214C11×#135—24no—
215C11×#135—24no—
216C11×#135—24no—
217C11×#135—22no—
218C11×#135—22no—
219C11×#135—24no—
220C11×#135—24no—
221C11×#135—22no—
222C11×#135—24no—
223C11×#135—21no—
224C11×#135—21no—
225C11×#135—21no—
226C11×#135—21no—
227C11×#135D412yescomplemented
228C11×#135D412yescomplemented
229C11×#135C2312yes—
230C11×#135C2312yes—
231C11×#135C2314yes—
232C2×C11×Q16—21no—
233C2×C11×Q16—21no—
234C2×C11×Q16—22no—
235C2×C11×Q16—24no—
236C2×C11×Q16D411yescharacteristic, complemented
237C2×C11×Q16C2312yescomplemented
238C2×C11×Q16C2311yescharacteristic, complemented
239C2×C11×SD16—21no—
240C2×C11×SD16—21no—
241C2×C11×SD16—21no—
242C2×C11×SD16—21no—
243C2×C11×SD16—24no—
244C2×C11×SD16—24no—
245C2×C11×SD16—22no—
246C2×C11×SD16—22no—
247C2×C11×SD16—24no—
248C2×C11×SD16—24no—
249C2×C11×SD16—21no—
250C2×C11×SD16—21no—
251C2×C11×SD16—21no—
252C2×C11×SD16—21no—
253C2×C11×SD16D411yescharacteristic, complemented
254C2×C11×SD16D411yescharacteristic, complemented
255C2×C11×SD16C2312yes—
256C2×C11×SD16C2312yes—
257C2×C11×SD16C2312yes—
258C2×C11×SD16C2311yescharacteristic, complemented
259C2×C11×SD16C2312yescomplemented
260C2×C11×SD16C2311yescharacteristic, complemented
261C2×C11×D8—21no—
262C2×C11×D8—21no—
263C2×C11×D8—22no—
264C2×C11×D8—24no—
265C2×C11×D8D411yescharacteristic, complemented
266C2×C11×D8C2312yes—
267C2×C11×D8C2311yescharacteristic, complemented
268C11×#131—22no—
269C11×#131—22no—
270C11×#131—21no—
271C11×#131—21no—
272C11×#131—21no—
273C11×#131—21no—
274C11×#131C2312yes—
275C11×#131C2312yes—
276C11×#131C2314yes—
277C11×#131C2312yescomplemented
278C11×#131C2312yescomplemented
279C11×#131C2314yescomplemented
280C2×C11×M16—22no—
281C2×C11×M16—22no—
282C2×C11×M16—21no—
283C2×C11×M16—21no—
284C2×C11×M16C2311yescharacteristic
285C2×C11×M16C2311yescharacteristic
286C2×C11×M16C2311yescharacteristic
287C2×C11×M16C2311yescharacteristic
288C2×C11×M16C2311yescharacteristic
289C22×C8×C11—21no—
290C22×C8×C11—21no—
291C22×C8×C11C2311yescharacteristic
292C11×C4⋊Q8C2312yescomplemented
293C11×#127C2312yes—
294C11×#124C2312yes—
295C11×#124C2312yescomplemented
296C11×#123—41no—
297C11×C22⋊Q8—41no—
298C11×#121—41no—
299C11×#120—41no—
300C11×#117C2311yescharacteristic
301C11×#108C2312yescomplemented
302C11×#108C2312yescomplemented
303C11×#108C2314yescomplemented
304C11×#104C2314yes—
305C11×#104C2314yes—
306C11×#104C2314yescomplemented
307C11×#104C2314yescomplemented
308C11×#101C2314yescomplemented
309C11×#101C2312yescomplemented
310C11×#101C2312yescomplemented
311C11×#100C2314yes—
312C11×#100C2312yescomplemented
313C11×#100C2312yescomplemented
314C11×#97C2312yescomplemented
315C4×C8×C11C2312yescomplemented
316#61107C1111yesmaximal, characteristic, direct product factor, Sylow
317C24×C11—21no—
318C24×C11—41no—
319C11×#41—21no—
320C11×#41—21no—
321C11×#41—21no—
322C11×#41—21no—
323C11×#41—21no—
324C11×#41—21no—
325C11×#41—21no—
326C11×#41—21no—
327C11×#41—22no—
328C11×#41—24no—
329C11×#41—22no—
330C11×#41—22no—
331C11×#41—24no—
332C11×#41—22no—
333C11×#41—22no—
334C11×#41—24no—
335C11×#41—22no—
336C11×#41—22no—
337C11×#41—24no—
338C11×#41—22no—
339C11×#41—21no—
340C11×#41—21no—
341C11×#41—21no—
342C11×#41—21no—
343C11×#41—21no—
344C11×#41—21no—
345C11×#41—21no—
346C11×#41—21no—
347C11×#41—42no—
348C11×#41—42no—
349C11×#41—42no—
350C11×#41—42no—
351C11×#41—44no—
352C11×#41—42no—
353C11×#41—42no—
354C11×#41—42no—
355C11×#41—42no—
356C11×#41—42no—
357C11×#41—42no—
358C11×#41—42no—
359C11×#41—42no—
360C11×#41—44no—
361C11×#41—41no—
362C11×#41—41no—
363C11×#41—41no—
364C11×#41—41no—
365C11×#41C2×D412yes—
366C11×#41C2×D412yes—
367C11×#41C2×D412yes—
368C11×#41C2×D412yes—
369C11×#41C2412yes—
370C11×#41C2412yes—
371C11×#41C2412yes—
372C11×#41C2412yes—
373C2×Q8×C11—21no—
374C2×Q8×C11—24no—
375C2×Q8×C11—22no—
376C2×Q8×C11—24no—
377C2×Q8×C11—22no—
378C2×Q8×C11—22no—
379C2×Q8×C11—22no—
380C2×Q8×C11—21no—
381C2×Q8×C11—21no—
382C2×Q8×C11—21no—
383C2×Q8×C11—21no—
384C2×Q8×C11—41no—
385C2×Q8×C11—42no—
386C2×Q8×C11—42no—
387C2×Q8×C11—41no—
388C2×Q8×C11—41no—
389C2×Q8×C11C2×D411yescharacteristic
390C2×Q8×C11C2×D411yescharacteristic
391C2×Q8×C11C2×D411yescharacteristic
392C2×Q8×C11C2×D411yescharacteristic
393C2×Q8×C11C2411yescharacteristic
394C2×Q8×C11C2412yes—
395C2×Q8×C11C2411yescharacteristic
396C2×D4×C11—21no—
397C2×D4×C11—21no—
398C2×D4×C11—21no—
399C2×D4×C11—21no—
400C2×D4×C11—22no—
401C2×D4×C11—24no—
402C2×D4×C11—22no—
403C2×D4×C11—22no—
404C2×D4×C11—24no—
405C2×D4×C11—22no—
406C2×D4×C11—21no—
407C2×D4×C11—21no—
408C2×D4×C11—21no—
409C2×D4×C11—21no—
410C2×D4×C11—21no—
411C2×D4×C11—21no—
412C2×D4×C11—21no—
413C2×D4×C11—42no—
414C2×D4×C11—42no—
415C2×D4×C11—41no—
416C2×D4×C11—41no—
417C2×D4×C11—42no—
418C2×D4×C11—44no—
419C2×D4×C11—42no—
420C2×D4×C11—42no—
421C2×D4×C11—44no—
422C2×D4×C11—41no—
423C2×D4×C11—41no—
424C2×D4×C11—42no—
425C2×D4×C11—42no—
426C2×D4×C11—42no—
427C2×D4×C11—42no—
428C2×D4×C11—41no—
429C2×D4×C11C2×D411yescharacteristic
430C2×D4×C11C2×D411yescharacteristic
431C2×D4×C11C2×D411yescharacteristic
432C2×D4×C11C2×D411yescharacteristic
433C2×D4×C11C2412yes—
434C2×D4×C11C2411yescharacteristic
435C2×D4×C11C2411yescharacteristic
436C22×C4×C11—21no—
437C22×C4×C11—21no—
438C22×C4×C11—21no—
439C22×C4×C11—21no—
440C22×C4×C11—21no—
441C22×C4×C11—21no—
442C22×C4×C11—21no—
443C22×C4×C11—41no—
444C22×C4×C11—42no—
445C22×C4×C11—42no—
446C22×C4×C11—41no—
447C22×C4×C11—41no—
448C22×C4×C11C2411yescharacteristic
449C11×Q16—21no—
450C11×Q16—24no—
451C11×Q16—21no—
452C11×Q16—22no—
453C11×Q16—24no—
454C11×Q16—24no—
455C11×Q16—22no—
456C11×Q16—22no—
457C11×Q16—22no—
458C11×Q16C2×D412yes—
459C11×Q16C2×D414yes—
460C11×Q16C2×D412yes—
461C11×SD16—22no—
462C11×SD16—22no—
463C11×SD16—22no—
464C11×SD16—22no—
465C11×SD16—21no—
466C11×SD16—21no—
467C11×SD16—24no—
468C11×SD16—24no—
469C11×SD16—21no—
470C11×SD16—21no—
471C11×SD16—24no—
472C11×SD16—24no—
473C11×SD16—22no—
474C11×SD16—22no—
475C11×SD16—22no—
476C11×SD16—22no—
477C11×SD16—24no—
478C11×SD16—22no—
479C11×SD16—24no—
480C11×SD16—22no—
481C11×SD16—22no—
482C11×SD16—22no—
483C11×SD16C2×D412yes—
484C11×SD16C2×D412yes—
485C11×SD16C2×D412yes—
486C11×SD16C2×D414yes—
487C11×SD16C2×D414yes—
488C11×SD16C2×D412yes—
489C11×D8—21no—
490C11×D8—24no—
491C11×D8—21no—
492C11×D8—22no—
493C11×D8—24no—
494C11×D8—22no—
495C11×D8—24no—
496C11×D8—22no—
497C11×D8—22no—
498C11×D8C2×D412yes—
499C11×D8C2×D414yes—
500C11×D8C2×D412yes—
501C11×M16—24no—
502C11×M16—22no—
503C11×M16—22no—
504C11×M16—22no—
505C11×M16—22no—
506C11×M16—24no—
507C11×M16—21no—
508C11×M16—21no—
509C11×M16—21no—
510C11×M16—21no—
511C11×M16C2×D412yes—
512C11×M16C2×D412yes—
513C11×M16C2412yes—
514C11×M16C2412yes—
515C11×M16C2412yes—
516C11×M16C2412yes—
517C2×C8×C11—22no—
518C2×C8×C11—22no—
519C2×C8×C11—22no—
520C2×C8×C11—22no—
521C2×C8×C11—24no—
522C2×C8×C11—24no—
523C2×C8×C11—21no—
524C2×C8×C11—21no—
525C2×C8×C11—21no—
526C2×C8×C11—21no—
527C2×C8×C11C2×D411yescharacteristic
528C2×C8×C11C2×D411yescharacteristic
529C2×C8×C11C2×D411yescharacteristic
530C2×C8×C11C2×D411yescharacteristic
531C2×C8×C11C2411yescharacteristic
532C2×C8×C11C2412yes—
533C2×C8×C11C2411yescharacteristic
534C11×C4⋊C4—21no—
535C11×C4⋊C4—42no—
536C11×C22⋊C4—21no—
537C11×C22⋊C4—42no—
538C11×C22⋊C4—42no—
539C42×C11C2412yes—
540#3586C2×C1111yescharacteristic, complemented
541#3585C2×C1111yescharacteristic, complemented
542#3584C2×C1111yescharacteristic, complemented
543C2×#577C2×C1111yescharacteristic, complemented
544#3291C2×C1114yescomplemented
545#3290C2×C1114yescomplemented
546#3289C2×C1114yescomplemented
547#3288C2×C1114yescomplemented
548#3154C2×C1111yescharacteristic, complemented
549#3069C2×C1111yescharacteristic, complemented
550#3068C2×C1111yescharacteristic, complemented
551#3067C2×C1111yescharacteristic, complemented
552C2×#471C2×C1111yescharacteristic, complemented
553#3022C2×C1111yescharacteristic, complemented
554#3021C2×C1111yescharacteristic, complemented
555#3020C2×C1111yescharacteristic, complemented
556#3019C2×C1111yescharacteristic, complemented
557#2957C2×C1111yescharacteristic, complemented
558#2955C2×C1111yescharacteristic, complemented
559C23×C11—21no—
560C23×C11—21no—
561C23×C11—21no—
562C23×C11—21no—
563C23×C11—21no—
564C23×C11—22no—
565C23×C11—21no—
566C23×C11—42no—
567C23×C11—42no—
568C23×C11—44no—
569C23×C11—41no—
570C23×C11—41no—
571C23×C11—161no—
572C23×C11—162no—
573C23×C11H(5,𝔽2)11yescharacteristic
574Q8×C11—21no—
575Q8×C11—21no—
576Q8×C11—21no—
577Q8×C11—21no—
578Q8×C11—22no—
579Q8×C11—21no—
580Q8×C11—22no—
581Q8×C11—21no—
582Q8×C11—21no—
583Q8×C11—21no—
584Q8×C11—44no—
585Q8×C11—42no—
586Q8×C11—42no—
587Q8×C11—41no—
588Q8×C11—41no—
589Q8×C11C22×D412yes—
590Q8×C11C22×D412yes—
591Q8×C11C22×D412yes—
592Q8×C11C22×D412yes—
593D4×C11—22no—
594D4×C11—22no—
595D4×C11—22no—
596D4×C11—22no—
597D4×C11—22no—
598D4×C11—22no—
599D4×C11—22no—
600D4×C11—22no—
601D4×C11—21no—
602D4×C11—21no—
603D4×C11—21no—
604D4×C11—21no—
605D4×C11—21no—
606D4×C11—22no—
607D4×C11—21no—
608D4×C11—21no—
609D4×C11—22no—
610D4×C11—21no—
611D4×C11—44no—
612D4×C11—44no—
613D4×C11—42no—
614D4×C11—42no—
615D4×C11—42no—
616D4×C11—42no—
617D4×C11—42no—
618D4×C11—42no—
619D4×C11—44no—
620D4×C11—41no—
621D4×C11—41no—
622D4×C11—41no—
623D4×C11—41no—
624D4×C11—41no—
625D4×C11—41no—
626D4×C11—162no—
627D4×C11C22×D412yes—
628D4×C11C22×D412yes—
629D4×C11C22×D412yes—
630D4×C11C22×D412yes—
631C2×C4×C11—21no—
632C2×C4×C11—21no—
633C2×C4×C11—21no—
634C2×C4×C11—21no—
635C2×C4×C11—22no—
636C2×C4×C11—22no—
637C2×C4×C11—22no—
638C2×C4×C11—22no—
639C2×C4×C11—22no—
640C2×C4×C11—22no—
641C2×C4×C11—22no—
642C2×C4×C11—22no—
643C2×C4×C11—22no—
644C2×C4×C11—21no—
645C2×C4×C11—22no—
646C2×C4×C11—21no—
647C2×C4×C11—44no—
648C2×C4×C11—42no—
649C2×C4×C11—42no—
650C2×C4×C11—42no—
651C2×C4×C11—42no—
652C2×C4×C11—42no—
653C2×C4×C11—42no—
654C2×C4×C11—44no—
655C2×C4×C11—44no—
656C2×C4×C11—41no—
657C2×C4×C11—41no—
658C2×C4×C11—41no—
659C2×C4×C11—41no—
660C2×C4×C11—41no—
661C2×C4×C11—41no—
662C2×C4×C11C22×D411yescharacteristic
663C2×C4×C11C22×D411yescharacteristic
664C2×C4×C11C22×D411yescharacteristic
665C2×C4×C11C22×D411yescharacteristic
666C2×C4×C11H(5,𝔽2)11yescharacteristic
667C2×C4×C11C2511yescharacteristic
668C8×C11—22no—
669C8×C11—22no—
670C8×C11—22no—
671C8×C11—22no—
672C8×C11C22×D411yescharacteristic
673C8×C11C22×D411yescharacteristic
674C8×C11C22×D411yescharacteristic
675C8×C11C22×D414yes—
676C8×C11C22×D411yescharacteristic
677#585C22×C1111yescharacteristic
678#585C22×C1111yescharacteristic, complemented
679C2×2−1+4C22×C1111yescharacteristic, complemented
680C2×H(5,𝔽2)C22×C1111yescharacteristic, complemented
681#578—22no—
682#578—21no—
683#578C22×C1112yescomplemented
684#578C22×C1114yescomplemented
685#577—22no—
686#577—22no—
687#577—22no—
688#577—22no—
689#577—21no—
690#577—21no—
691#577C22×C1114yescomplemented
692#577C22×C1114yescomplemented
693#577C22×C1114yescomplemented
694#577C22×C1112yescomplemented
695#577C22×C1114yescomplemented
696#577C22×C1112yescomplemented
697#576—22no—
698#576—21no—
699#576C22×C1114yescomplemented
700#576C22×C1112yescomplemented
701#575—22no—
702#575—22no—
703#575—22no—
704#575C22×C1111yescharacteristic
705#575C22×C1111yescharacteristic
706#575C22×C1111yescharacteristic, complemented
707#575C22×C1111yescharacteristic, complemented
708#575C22×C1111yescharacteristic, complemented
709C2×#137—22no—
710C2×#137—21no—
711C2×#137C22×C1111yescharacteristic, complemented
712C2×#137C22×C1111yescharacteristic, complemented
713C2×#137C22×C1111yescharacteristic, complemented
714C2×AGL(1,ℤ/8)—22no—
715C2×AGL(1,ℤ/8)—21no—
716C2×AGL(1,ℤ/8)C22×C1111yescharacteristic
717C2×AGL(1,ℤ/8)C22×C1111yescharacteristic, complemented
718C2×AGL(1,ℤ/8)C22×C1111yescharacteristic, complemented
719C2×#135—22no—
720C2×#135—21no—
721C2×#135C22×C1111yescharacteristic
722C2×#135C22×C1111yescharacteristic, complemented
723C22×SD16—21no—
724C22×SD16C22×C1111yescharacteristic, complemented
725#568C22×C1111yescharacteristic, complemented
726#568C22×C1111yescharacteristic, complemented
727C2×#131C22×C1111yescharacteristic, complemented
728C2×#131C22×C1111yescharacteristic, complemented
729#536C22×C1111yescharacteristic, complemented
730#535C22×C1111yescharacteristic, complemented
731#497C22×C1112yescomplemented
732#496C22×C1112yescomplemented
733#495C22×C1112yescomplemented
734#492C22×C1112yescomplemented
735#473C22×C1112yescomplemented
736#473C22×C1114yescomplemented
737#472C22×C1114yescomplemented
738#472C22×C1112yescomplemented
739#471C22×C1114yescomplemented
740#471C22×C1114yescomplemented
741#471C22×C1114yescomplemented
742#471C22×C1114yescomplemented
743#471C22×C1112yescomplemented
744#471C22×C1112yescomplemented
745#456C22×C1114yescomplemented
746#456C22×C1114yescomplemented
747#455C22×C1114yescomplemented
748#455C22×C1114yescomplemented
749#454C22×C1114yescomplemented
750#454C22×C1114yescomplemented
751#453C22×C1114yescomplemented
752#453C22×C1114yescomplemented
753#444C22×C1114yescomplemented
754#444C22×C1114yescomplemented
755#443C22×C1114yescomplemented
756#443C22×C1114yescomplemented
757#430C22×C1111yescharacteristic, complemented
758C2×#108C22×C1111yescharacteristic, complemented
759#421C22×C1111yescharacteristic, complemented
760#421C22×C1111yescharacteristic, complemented
761#421C22×C1111yescharacteristic, complemented
762#421C22×C1111yescharacteristic, complemented
763#413C22×C1111yescharacteristic, complemented
764#413C22×C1111yescharacteristic, complemented
765C2×#101C22×C1111yescharacteristic, complemented
766C2×#100C22×C1111yescharacteristic, complemented
767#405C22×C1111yescharacteristic, complemented
768C22×C11—22no—
769C22×C11—22no—
770C22×C11—22no—
771C22×C11—22no—
772C22×C11—41no—
773C22×C11—42no—
774C22×C11—41no—
775C22×C11—41no—
776C22×C11—42no—
777C22×C11—81no—
778C22×C11—81no—
779C22×C11—81no—
780C22×C11—81no—
781C22×C11—82no—
782C22×C11—81no—
783C22×C11—82no—
784C22×C11—161no—
785C22×C11—162no—
786C22×C11—162no—
787C22×C11—164no—
788C22×C11D4211yescharacteristic
789C22×C11D4211yescharacteristic
790C22×C11C2×H(5,𝔽2)11yescharacteristic
791C4×C11—22no—
792C4×C11—22no—
793C4×C11—22no—
794C4×C11—22no—
795C4×C11—42no—
796C4×C11—41no—
797C4×C11—41no—
798C4×C11—42no—
799C4×C11D4211yescharacteristic
800C4×C11D4211yescharacteristic
801C4×C11C23×D411yescharacteristic
802C4×C11C23×D411yescharacteristic
8032−1+4—22no—
8042−1+4—22no—
8052−1+4—21no—
8062−1+4—21no—
8072−1+4—21no—
8082−1+4—21no—
8092−1+4—41no—
8102−1+4C23×C1114yes—
8112−1+4C23×C1112yes—
8122−1+4C23×C1112yescomplemented
813H(5,𝔽2)—22no—
814H(5,𝔽2)—22no—
815H(5,𝔽2)—21no—
816H(5,𝔽2)—21no—
817H(5,𝔽2)—21no—
818H(5,𝔽2)—21no—
819H(5,𝔽2)—41no—
820H(5,𝔽2)—41no—
821H(5,𝔽2)—41no—
822H(5,𝔽2)C23×C1112yes—
823H(5,𝔽2)C23×C1114yes—
824H(5,𝔽2)C23×C1112yescomplemented
825C2×#41—22no—
826C2×#41—22no—
827C2×#41—22no—
828C2×#41—22no—
829C2×#41—21no—
830C2×#41—21no—
831C2×#41—21no—
832C2×#41—21no—
833C2×#41—41no—
834C2×#41—41no—
835C2×#41—41no—
836C2×#41C23×C1111yescharacteristic
837C2×#41C23×C1111yescharacteristic
838C2×#41C23×C1111yescharacteristic
839C2×#41C23×C1111yescharacteristic
840C2×#41C23×C1111yescharacteristic
841C2×#41C23×C1111yescharacteristic
842C22×Q8—21no—
843C22×Q8—21no—
844C22×Q8C23×C1111yescharacteristic
845C22×D4—21no—
846C22×D4—21no—
847C22×D4—41no—
848C22×D4C23×C1111yescharacteristic
849#137—22no—
850#137—22no—
851#137—21no—
852#137—21no—
853#137—21no—
854#137—21no—
855#137—24no—
856#137—24no—
857#137—24no—
858#137—24no—
859#137—22no—
860#137—22no—
861#137—24no—
862#137—22no—
863#137—22no—
864#137—24no—
865#137—22no—
866#137—22no—
867#137D4×C1112yescomplemented
868#137D4×C1112yescomplemented
869#137C23×C1114yes—
870#137C23×C1112yes—
871#137C23×C1112yes—
872#137C23×C1112yes—
873#137C23×C1114yescomplemented
874#137C23×C1112yescomplemented
875AGL(1,ℤ/8)—22no—
876AGL(1,ℤ/8)—22no—
877AGL(1,ℤ/8)—21no—
878AGL(1,ℤ/8)—21no—
879AGL(1,ℤ/8)—21no—
880AGL(1,ℤ/8)—21no—
881AGL(1,ℤ/8)—24no—
882AGL(1,ℤ/8)—24no—
883AGL(1,ℤ/8)—22no—
884AGL(1,ℤ/8)—22no—
885AGL(1,ℤ/8)—24no—
886AGL(1,ℤ/8)—24no—
887AGL(1,ℤ/8)—24no—
888AGL(1,ℤ/8)—22no—
889AGL(1,ℤ/8)—22no—
890AGL(1,ℤ/8)—24no—
891AGL(1,ℤ/8)—22no—
892AGL(1,ℤ/8)—22no—
893AGL(1,ℤ/8)D4×C1112yescomplemented
894AGL(1,ℤ/8)D4×C1112yescomplemented
895AGL(1,ℤ/8)C23×C1114yes—
896AGL(1,ℤ/8)C23×C1114yes—
897AGL(1,ℤ/8)C23×C1112yes—
898AGL(1,ℤ/8)C23×C1112yes—
899AGL(1,ℤ/8)C23×C1112yes—
900AGL(1,ℤ/8)C23×C1112yescomplemented
901#135—22no—
902#135—22no—
903#135—22no—
904#135—22no—
905#135—22no—
906#135—24no—
907#135—24no—
908#135—24no—
909#135—22no—
910#135—22no—
911#135—24no—
912#135—24no—
913#135—22no—
914#135—24no—
915#135—21no—
916#135—21no—
917#135—21no—
918#135—21no—
919#135D4×C1112yescomplemented
920#135D4×C1112yescomplemented
921#135C23×C1112yes—
922#135C23×C1112yes—
923#135C23×C1114yes—
924C2×Q16—21no—
925C2×Q16—21no—
926C2×Q16—22no—
927C2×Q16—24no—
928C2×Q16D4×C1111yescharacteristic, complemented
929C2×Q16C23×C1111yescharacteristic, complemented
930C2×Q16C23×C1112yescomplemented
931C2×SD16—21no—
932C2×SD16—21no—
933C2×SD16—21no—
934C2×SD16—21no—
935C2×SD16—24no—
936C2×SD16—24no—
937C2×SD16—22no—
938C2×SD16—22no—
939C2×SD16—24no—
940C2×SD16—24no—
941C2×SD16—21no—
942C2×SD16—21no—
943C2×SD16—21no—
944C2×SD16—21no—
945C2×SD16D4×C1111yescharacteristic, complemented
946C2×SD16D4×C1111yescharacteristic, complemented
947C2×SD16C23×C1112yes—
948C2×SD16C23×C1112yes—
949C2×SD16C23×C1112yes—
950C2×SD16C23×C1111yescharacteristic, complemented
951C2×SD16C23×C1111yescharacteristic, complemented
952C2×SD16C23×C1112yescomplemented
953C2×D8—21no—
954C2×D8—21no—
955C2×D8—22no—
956C2×D8—24no—
957C2×D8D4×C1111yescharacteristic, complemented
958C2×D8C23×C1112yes—
959C2×D8C23×C1111yescharacteristic, complemented
960#131—22no—
961#131—22no—
962#131—21no—
963#131—21no—
964#131—21no—
965#131—21no—
966#131C23×C1112yes—
967#131C23×C1112yes—
968#131C23×C1114yes—
969#131C23×C1112yescomplemented
970#131C23×C1112yescomplemented
971#131C23×C1114yescomplemented
972C2×M16—22no—
973C2×M16—22no—
974C2×M16—21no—
975C2×M16—21no—
976C2×M16C23×C1111yescharacteristic
977C2×M16C23×C1111yescharacteristic
978C2×M16C23×C1111yescharacteristic
979C2×M16C23×C1111yescharacteristic
980C2×M16C23×C1111yescharacteristic
981C22×C8—21no—
982C22×C8—21no—
983C22×C8C23×C1111yescharacteristic
984C4⋊Q8C23×C1112yescomplemented
985#127C23×C1112yes—
986#124C23×C1112yes—
987#124C23×C1112yescomplemented
988#123—41no—
989C22⋊Q8—41no—
990#121—41no—
991#120—41no—
992#117C23×C1111yescharacteristic
993#108C23×C1112yescomplemented
994#108C23×C1112yescomplemented
995#108C23×C1114yescomplemented
996#104C23×C1114yes—
997#104C23×C1114yes—
998#104C23×C1114yescomplemented
999#104C23×C1114yescomplemented
1000#101C23×C1114yescomplemented
1001#101C23×C1112yescomplemented
1002#101C23×C1112yescomplemented
1003#100C23×C1114yes—
1004#100C23×C1112yescomplemented
1005#100C23×C1112yescomplemented
1006#97C23×C1112yescomplemented
1007C4×C8C23×C1112yescomplemented
1008C2×C11—21no—
1009C2×C11—21no—
1010C2×C11—21no—
1011C2×C11—42no—
1012C2×C11—42no—
1013C2×C11—42no—
1014C2×C11—42no—
1015C2×C11—82no—
1016C2×C11—81no—
1017C2×C11—81no—
1018C2×C11C2×D4211yescharacteristic
1019C24—21no—
1020C24—41no—
1021#41—21no—
1022#41—21no—
1023#41—21no—
1024#41—21no—
1025#41—21no—
1026#41—21no—
1027#41—21no—
1028#41—21no—
1029#41—22no—
1030#41—24no—
1031#41—22no—
1032#41—22no—
1033#41—24no—
1034#41—22no—
1035#41—22no—
1036#41—24no—
1037#41—22no—
1038#41—22no—
1039#41—24no—
1040#41—22no—
1041#41—21no—
1042#41—21no—
1043#41—21no—
1044#41—21no—
1045#41—21no—
1046#41—21no—
1047#41—21no—
1048#41—21no—
1049#41—42no—
1050#41—42no—
1051#41—42no—
1052#41—42no—
1053#41—44no—
1054#41—42no—
1055#41—42no—
1056#41—42no—
1057#41—42no—
1058#41—42no—
1059#41—42no—
1060#41—42no—
1061#41—42no—
1062#41—44no—
1063#41—41no—
1064#41—41no—
1065#41—41no—
1066#41—41no—
1067#41C2×D4×C1112yes—
1068#41C2×D4×C1112yes—
1069#41C2×D4×C1112yes—
1070#41C2×D4×C1112yes—
1071#41C24×C1112yes—
1072#41C24×C1112yes—
1073#41C24×C1112yes—
1074#41C24×C1112yes—
1075C2×Q8—21no—
1076C2×Q8—24no—
1077C2×Q8—22no—
1078C2×Q8—24no—
1079C2×Q8—22no—
1080C2×Q8—22no—
1081C2×Q8—22no—
1082C2×Q8—21no—
1083C2×Q8—21no—
1084C2×Q8—21no—
1085C2×Q8—21no—
1086C2×Q8—41no—
1087C2×Q8—42no—
1088C2×Q8—42no—
1089C2×Q8—41no—
1090C2×Q8—41no—
1091C2×Q8C2×D4×C1111yescharacteristic
1092C2×Q8C2×D4×C1111yescharacteristic
1093C2×Q8C2×D4×C1111yescharacteristic
1094C2×Q8C2×D4×C1111yescharacteristic
1095C2×Q8C24×C1111yescharacteristic
1096C2×Q8C24×C1112yes—
1097C2×Q8C24×C1111yescharacteristic
1098C2×D4—21no—
1099C2×D4—21no—
1100C2×D4—21no—
1101C2×D4—21no—
1102C2×D4—22no—
1103C2×D4—24no—
1104C2×D4—22no—
1105C2×D4—22no—
1106C2×D4—24no—
1107C2×D4—22no—
1108C2×D4—21no—
1109C2×D4—21no—
1110C2×D4—21no—
1111C2×D4—21no—
1112C2×D4—21no—
1113C2×D4—21no—
1114C2×D4—21no—
1115C2×D4—42no—
1116C2×D4—42no—
1117C2×D4—41no—
1118C2×D4—41no—
1119C2×D4—42no—
1120C2×D4—44no—
1121C2×D4—42no—
1122C2×D4—42no—
1123C2×D4—44no—
1124C2×D4—41no—
1125C2×D4—41no—
1126C2×D4—42no—
1127C2×D4—42no—
1128C2×D4—42no—
1129C2×D4—42no—
1130C2×D4—41no—
1131C2×D4C2×D4×C1111yescharacteristic
1132C2×D4C2×D4×C1111yescharacteristic
1133C2×D4C2×D4×C1111yescharacteristic
1134C2×D4C2×D4×C1111yescharacteristic
1135C2×D4C24×C1112yes—
1136C2×D4C24×C1111yescharacteristic
1137C2×D4C24×C1111yescharacteristic
1138C22×C4—21no—
1139C22×C4—21no—
1140C22×C4—21no—
1141C22×C4—21no—
1142C22×C4—21no—
1143C22×C4—21no—
1144C22×C4—21no—
1145C22×C4—41no—
1146C22×C4—42no—
1147C22×C4—42no—
1148C22×C4—41no—
1149C22×C4—41no—
1150C22×C4C24×C1111yescharacteristic
1151Q16—22no—
1152Q16—24no—
1153Q16—24no—
1154Q16—22no—
1155Q16—22no—
1156Q16—22no—
1157Q16—21no—
1158Q16—24no—
1159Q16—21no—
1160Q16C2×D4×C1112yes—
1161Q16C2×D4×C1114yes—
1162Q16C2×D4×C1112yes—
1163SD16—24no—
1164SD16—24no—
1165SD16—22no—
1166SD16—22no—
1167SD16—22no—
1168SD16—22no—
1169SD16—24no—
1170SD16—22no—
1171SD16—24no—
1172SD16—22no—
1173SD16—22no—
1174SD16—22no—
1175SD16—22no—
1176SD16—22no—
1177SD16—22no—
1178SD16—22no—
1179SD16—21no—
1180SD16—21no—
1181SD16—24no—
1182SD16—24no—
1183SD16—21no—
1184SD16—21no—
1185SD16C2×D4×C1112yes—
1186SD16C2×D4×C1112yes—
1187SD16C2×D4×C1112yes—
1188SD16C2×D4×C1114yes—
1189SD16C2×D4×C1114yes—
1190SD16C2×D4×C1112yes—
1191D8—22no—
1192D8—24no—
1193D8—22no—
1194D8—24no—
1195D8—22no—
1196D8—22no—
1197D8—21no—
1198D8—24no—
1199D8—21no—
1200D8C2×D4×C1112yes—
1201D8C2×D4×C1114yes—
1202D8C2×D4×C1112yes—
1203M16—21no—
1204M16—21no—
1205M16—21no—
1206M16—21no—
1207M16—24no—
1208M16—22no—
1209M16—22no—
1210M16—22no—
1211M16—22no—
1212M16—24no—
1213M16C2×D4×C1112yes—
1214M16C2×D4×C1112yes—
1215M16C24×C1112yes—
1216M16C24×C1112yes—
1217M16C24×C1112yes—
1218M16C24×C1112yes—
1219C2×C8—21no—
1220C2×C8—21no—
1221C2×C8—21no—
1222C2×C8—21no—
1223C2×C8—22no—
1224C2×C8—22no—
1225C2×C8—22no—
1226C2×C8—22no—
1227C2×C8—24no—
1228C2×C8—24no—
1229C2×C8C2×D4×C1111yescharacteristic
1230C2×C8C2×D4×C1111yescharacteristic
1231C2×C8C2×D4×C1111yescharacteristic
1232C2×C8C2×D4×C1111yescharacteristic
1233C2×C8C24×C1111yescharacteristic
1234C2×C8C24×C1112yes—
1235C2×C8C24×C1111yescharacteristic
1236C4⋊C4—21no—
1237C4⋊C4—42no—
1238C22⋊C4—21no—
1239C22⋊C4—42no—
1240C22⋊C4—42no—
1241C42C24×C1112yes—
1242C11#6110711yescharacteristic, direct product factor, Sylow
1243C23—21no—
1244C23—21no—
1245C23—21no—
1246C23—21no—
1247C23—21no—
1248C23—22no—
1249C23—21no—
1250C23—42no—
1251C23—42no—
1252C23—44no—
1253C23—41no—
1254C23—41no—
1255C23—161no—
1256C23—162no—
1257C23C11×H(5,𝔽2)11yescharacteristic
1258Q8—21no—
1259Q8—21no—
1260Q8—21no—
1261Q8—21no—
1262Q8—22no—
1263Q8—21no—
1264Q8—22no—
1265Q8—21no—
1266Q8—21no—
1267Q8—21no—
1268Q8—44no—
1269Q8—42no—
1270Q8—42no—
1271Q8—41no—
1272Q8—41no—
1273Q8C22×D4×C1112yes—
1274Q8C22×D4×C1112yes—
1275Q8C22×D4×C1112yes—
1276Q8C22×D4×C1112yes—
1277D4—22no—
1278D4—22no—
1279D4—22no—
1280D4—22no—
1281D4—22no—
1282D4—22no—
1283D4—22no—
1284D4—22no—
1285D4—21no—
1286D4—21no—
1287D4—21no—
1288D4—21no—
1289D4—21no—
1290D4—22no—
1291D4—21no—
1292D4—21no—
1293D4—22no—
1294D4—21no—
1295D4—44no—
1296D4—44no—
1297D4—42no—
1298D4—42no—
1299D4—42no—
1300D4—42no—
1301D4—42no—
1302D4—42no—
1303D4—44no—
1304D4—41no—
1305D4—41no—
1306D4—41no—
1307D4—41no—
1308D4—41no—
1309D4—41no—
1310D4—162no—
1311D4C22×D4×C1112yes—
1312D4C22×D4×C1112yes—
1313D4C22×D4×C1112yes—
1314D4C22×D4×C1112yes—
1315C2×C4—21no—
1316C2×C4—21no—
1317C2×C4—21no—
1318C2×C4—21no—
1319C2×C4—22no—
1320C2×C4—22no—
1321C2×C4—22no—
1322C2×C4—22no—
1323C2×C4—22no—
1324C2×C4—22no—
1325C2×C4—22no—
1326C2×C4—22no—
1327C2×C4—22no—
1328C2×C4—21no—
1329C2×C4—22no—
1330C2×C4—21no—
1331C2×C4—44no—
1332C2×C4—42no—
1333C2×C4—42no—
1334C2×C4—42no—
1335C2×C4—42no—
1336C2×C4—42no—
1337C2×C4—42no—
1338C2×C4—44no—
1339C2×C4—44no—
1340C2×C4—41no—
1341C2×C4—41no—
1342C2×C4—41no—
1343C2×C4—41no—
1344C2×C4—41no—
1345C2×C4—41no—
1346C2×C4C22×D4×C1111yescharacteristic
1347C2×C4C22×D4×C1111yescharacteristic
1348C2×C4C22×D4×C1111yescharacteristic
1349C2×C4C22×D4×C1111yescharacteristic
1350C2×C4C11×H(5,𝔽2)11yescharacteristic
1351C2×C4C25×C1111yescharacteristic
1352C8—22no—
1353C8—22no—
1354C8—22no—
1355C8—22no—
1356C8C22×D4×C1111yescharacteristic
1357C8C22×D4×C1111yescharacteristic
1358C8C22×D4×C1111yescharacteristic
1359C8C22×D4×C1114yes—
1360C8C22×D4×C1111yescharacteristic
1361C22—22no—
1362C22—22no—
1363C22—22no—
1364C22—22no—
1365C22—41no—
1366C22—42no—
1367C22—41no—
1368C22—41no—
1369C22—42no—
1370C22—81no—
1371C22—81no—
1372C22—81no—
1373C22—81no—
1374C22—82no—
1375C22—81no—
1376C22—82no—
1377C22—161no—
1378C22—164no—
1379C22—162no—
1380C22—162no—
1381C22D42×C1111yescharacteristic
1382C22D42×C1111yescharacteristic
1383C22C2×C11×H(5,𝔽2)11yescharacteristic
1384C4—22no—
1385C4—22no—
1386C4—22no—
1387C4—22no—
1388C4—42no—
1389C4—41no—
1390C4—41no—
1391C4—42no—
1392C4D42×C1111yescharacteristic
1393C4D42×C1111yescharacteristic
1394C4C23×D4×C1111yescharacteristic
1395C4C23×D4×C1111yescharacteristic
1396C2—21no—
1397C2—21no—
1398C2—21no—
1399C2—42no—
1400C2—42no—
1401C2—42no—
1402C2—42no—
1403C2—82no—
1404C2—81no—
1405C2—81no—
1406C2C2×D42×C1111yescharacteristic
subgroupG/H
center, socleC2×C11C2×D42
commutator, Frattini, cosocleC2×C4C25×C11
LCSG ▷ C2×C4 ▷ C2 ▷ C1
UCSC1 ◁ C2×C11 ◁ C22×C4×C11 ◁ G

Complements

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

NH ≅ G/Ntype
1. C11×#3586C2semidirect
2. C11×#3585C2semidirect
3. C11×#3584C2semidirect
4. C2×C11×#577C2semidirect
5. C11×#3291C2semidirect
6. C11×#3290C2semidirect
7. C11×#3289C2semidirect
8. C11×#3288C2semidirect
9. C11×#3154C2semidirect
10. C11×#3069C2semidirect
11. C11×#3068C2semidirect
12. C11×#3067C2semidirect
13. C2×C11×#471C2semidirect
14. C11×#3022C2semidirect
15. C11×#3021C2semidirect
16. C11×#3020C2semidirect
17. C11×#3019C2semidirect
18. C11×#2957C2semidirect
19. C11×#2955C2semidirect
21. C11×#585C22semidirect
22. C2×C11×2−1+4C22semidirect
23. C2×C11×H(5,𝔽2)C22semidirect
26. C11×#578C22semidirect
27. C11×#578C22semidirect
34. C11×#577C22semidirect
35. C11×#577C22semidirect
36. C11×#577C22semidirect
37. C11×#577C22semidirect
38. C11×#577C22semidirect
39. C11×#577C22semidirect
42. C11×#576C22semidirect
43. C11×#576C22semidirect
49. C11×#575C22semidirect
50. C11×#575C22semidirect
51. C11×#575C22semidirect
54. C2×C11×#137C22semidirect
55. C2×C11×#137C22semidirect
56. C2×C11×#137C22semidirect
60. C2×C11×AGL(1,ℤ/8)C22semidirect
61. C2×C11×AGL(1,ℤ/8)C22semidirect
65. C2×C11×#135C22semidirect
67. C22×C11×SD16C22semidirect
68. C11×#568C22semidirect
69. C11×#568C22semidirect
70. C2×C11×#131C22semidirect
71. C2×C11×#131C22semidirect
72. C11×#536C22semidirect
73. C11×#535C22semidirect
74. C11×#497C22semidirect
75. C11×#496C22semidirect
76. C11×#495C22semidirect
77. C11×#492C22semidirect
78. C11×#473C22semidirect
79. C11×#473C22semidirect
80. C11×#472C22semidirect
81. C11×#472C22semidirect
82. C11×#471C22semidirect
83. C11×#471C22semidirect
84. C11×#471C22semidirect
85. C11×#471C22semidirect
86. C11×#471C22semidirect
87. C11×#471C22semidirect
88. C11×#456C22semidirect
89. C11×#456C22semidirect
90. C11×#455C22semidirect
91. C11×#455C22semidirect
92. C11×#454C22semidirect
93. C11×#454C22semidirect
94. C11×#453C22semidirect
95. C11×#453C22semidirect
96. C11×#444C22semidirect
97. C11×#444C22semidirect
98. C11×#443C22semidirect
99. C11×#443C22semidirect
100. C11×#430C22semidirect
101. C2×C11×#108C22semidirect
102. C11×#421C22semidirect
103. C11×#421C22semidirect
104. C11×#421C22semidirect
105. C11×#421C22semidirect
106. C11×#413C22semidirect
107. C11×#413C22semidirect
108. C2×C11×#101C22semidirect
109. C2×C11×#100C22semidirect
110. C11×#405C22semidirect
120. C11×2−1+4C23semidirect
132. C11×H(5,𝔽2)C23semidirect
175. C11×#137D4semidirect
176. C11×#137D4semidirect
181. C11×#137C23semidirect
182. C11×#137C23semidirect
201. C11×AGL(1,ℤ/8)D4semidirect
202. C11×AGL(1,ℤ/8)D4semidirect
208. C11×AGL(1,ℤ/8)C23semidirect
227. C11×#135D4semidirect
228. C11×#135D4semidirect
236. C2×C11×Q16D4semidirect
237. C2×C11×Q16C23semidirect
238. C2×C11×Q16C23semidirect
253. C2×C11×SD16D4semidirect
254. C2×C11×SD16D4semidirect
258. C2×C11×SD16C23semidirect
259. C2×C11×SD16C23semidirect
260. C2×C11×SD16C23semidirect
265. C2×C11×D8D4semidirect
267. C2×C11×D8C23semidirect
277. C11×#131C23semidirect
278. C11×#131C23semidirect
279. C11×#131C23semidirect
292. C11×C4⋊Q8C23semidirect
295. C11×#124C23semidirect
301. C11×#108C23semidirect
302. C11×#108C23semidirect
303. C11×#108C23semidirect
306. C11×#104C23semidirect
307. C11×#104C23semidirect
308. C11×#101C23semidirect
309. C11×#101C23semidirect
310. C11×#101C23semidirect
312. C11×#100C23semidirect
313. C11×#100C23semidirect
314. C11×#97C23semidirect
315. C4×C8×C11C23semidirect
316. #61107C11direct (N × H)
540. #3586C2×C11semidirect
541. #3585C2×C11semidirect
542. #3584C2×C11semidirect
543. C2×#577C2×C11semidirect
544. #3291C2×C11semidirect
545. #3290C2×C11semidirect
546. #3289C2×C11semidirect
547. #3288C2×C11semidirect
548. #3154C2×C11semidirect
549. #3069C2×C11semidirect
550. #3068C2×C11semidirect
551. #3067C2×C11semidirect
552. C2×#471C2×C11semidirect
553. #3022C2×C11semidirect
554. #3021C2×C11semidirect
555. #3020C2×C11semidirect
556. #3019C2×C11semidirect
557. #2957C2×C11semidirect
558. #2955C2×C11semidirect
678. #585C22×C11semidirect
679. C2×2−1+4C22×C11semidirect
680. C2×H(5,𝔽2)C22×C11semidirect
683. #578C22×C11semidirect
684. #578C22×C11semidirect
691. #577C22×C11semidirect
692. #577C22×C11semidirect
693. #577C22×C11semidirect
694. #577C22×C11semidirect
695. #577C22×C11semidirect
696. #577C22×C11semidirect
699. #576C22×C11semidirect
700. #576C22×C11semidirect
706. #575C22×C11semidirect
707. #575C22×C11semidirect
708. #575C22×C11semidirect
711. C2×#137C22×C11semidirect
712. C2×#137C22×C11semidirect
713. C2×#137C22×C11semidirect
717. C2×AGL(1,ℤ/8)C22×C11semidirect
718. C2×AGL(1,ℤ/8)C22×C11semidirect
722. C2×#135C22×C11semidirect
724. C22×SD16C22×C11semidirect
725. #568C22×C11semidirect
726. #568C22×C11semidirect
727. C2×#131C22×C11semidirect
728. C2×#131C22×C11semidirect
729. #536C22×C11semidirect
730. #535C22×C11semidirect
731. #497C22×C11semidirect
732. #496C22×C11semidirect
733. #495C22×C11semidirect
734. #492C22×C11semidirect
735. #473C22×C11semidirect
736. #473C22×C11semidirect
737. #472C22×C11semidirect
738. #472C22×C11semidirect
739. #471C22×C11semidirect
740. #471C22×C11semidirect
741. #471C22×C11semidirect
742. #471C22×C11semidirect
743. #471C22×C11semidirect
744. #471C22×C11semidirect
745. #456C22×C11semidirect
746. #456C22×C11semidirect
747. #455C22×C11semidirect
748. #455C22×C11semidirect
749. #454C22×C11semidirect
750. #454C22×C11semidirect
751. #453C22×C11semidirect
752. #453C22×C11semidirect
753. #444C22×C11semidirect
754. #444C22×C11semidirect
755. #443C22×C11semidirect
756. #443C22×C11semidirect
757. #430C22×C11semidirect
758. C2×#108C22×C11semidirect
759. #421C22×C11semidirect
760. #421C22×C11semidirect
761. #421C22×C11semidirect
762. #421C22×C11semidirect
763. #413C22×C11semidirect
764. #413C22×C11semidirect
765. C2×#101C22×C11semidirect
766. C2×#100C22×C11semidirect
767. #405C22×C11semidirect
812. 2−1+4C23×C11semidirect
824. H(5,𝔽2)C23×C11semidirect
867. #137D4×C11semidirect
868. #137D4×C11semidirect
873. #137C23×C11semidirect
874. #137C23×C11semidirect
893. AGL(1,ℤ/8)D4×C11semidirect
894. AGL(1,ℤ/8)D4×C11semidirect
900. AGL(1,ℤ/8)C23×C11semidirect
919. #135D4×C11semidirect
920. #135D4×C11semidirect
928. C2×Q16D4×C11semidirect
929. C2×Q16C23×C11semidirect
930. C2×Q16C23×C11semidirect
945. C2×SD16D4×C11semidirect
946. C2×SD16D4×C11semidirect
950. C2×SD16C23×C11semidirect
951. C2×SD16C23×C11semidirect
952. C2×SD16C23×C11semidirect
957. C2×D8D4×C11semidirect
959. C2×D8C23×C11semidirect
969. #131C23×C11semidirect
970. #131C23×C11semidirect
971. #131C23×C11semidirect
984. C4⋊Q8C23×C11semidirect
987. #124C23×C11semidirect
993. #108C23×C11semidirect
994. #108C23×C11semidirect
995. #108C23×C11semidirect
998. #104C23×C11semidirect
999. #104C23×C11semidirect
1000. #101C23×C11semidirect
1001. #101C23×C11semidirect
1002. #101C23×C11semidirect
1004. #100C23×C11semidirect
1005. #100C23×C11semidirect
1006. #97C23×C11semidirect
1007. C4×C8C23×C11semidirect
1242. C11#61107direct (N × H)

Maximal subgroups

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

subgroupindex
C11×#35862
C11×#35852
C11×#35842
C2×C11×#5772
C11×#32912
C11×#32902
C11×#32892
C11×#32882
C11×#31542
C11×#30692
C11×#30682
C11×#30672
C2×C11×#4712
C11×#30222
C11×#30212
C11×#30202
C11×#30192
C11×#29572
C11×#29552
#6110711