Finite Group Databasebeta

← C11×#61077 #14638270

Subgroups — C11×#61077 #14638270

Order 2816.

2762 conjugacy classes of subgroups.

The subgroup lattice has 1432 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C11×#577C211yesmaximal, characteristic, complemented
2C2×C11×#575C211yesmaximal, characteristic, complemented
3C11×#3488C211yesmaximal, characteristic, complemented
4C11×#3487C211yesmaximal, characteristic, complemented
5C11×#3287C212yesmaximal, complemented
6C11×#3282C212yesmaximal, complemented
7C11×#3277C212yesmaximal, complemented
8C11×#3274C212yesmaximal, complemented
9C11×#3271C212yesmaximal, complemented
10C11×#3271C212yesmaximal, complemented
11C11×#3268C212yesmaximal, complemented
12C11×#3265C212yesmaximal, complemented
13C11×#3155C211yesmaximal, characteristic, complemented
14C11×#3062C211yesmaximal, characteristic, complemented
15C11×#3055C211yesmaximal, characteristic, complemented
16C11×#3045C211yesmaximal, characteristic, complemented
17C11×#3043C211yesmaximal, characteristic, complemented
18C11×#3013C211yesmaximal, characteristic, complemented
19C11×#3008C211yesmaximal, characteristic, complemented
20C11×#3002C211yesmaximal, characteristic, complemented
21C2×C11×#449C211yesmaximal, characteristic, complemented
22C11×#2947C211yesmaximal, characteristic, complemented
23C11×#2933C211yesmaximal, characteristic, complemented
24C2×C11×2−1+4C2211yescharacteristic, complemented
25C2×C11×H(5,𝔽2)C2211yescharacteristic
26C22×C11×#41C2211yescharacteristic
27C22×C11×#41C2211yescharacteristic, complemented
28C11×#577—28no—
29C11×#575—28no—
30C2×C11×#137C2211yescharacteristic
31C2×C11×#137C2211yescharacteristic, complemented
32C2×C11×#137C2212yescomplemented
33C2×C11×#137C2212yescomplemented
34C2×C11×AGL(1,ℤ/8)C2211yescharacteristic
35C2×C11×AGL(1,ℤ/8)C2211yescharacteristic, complemented
36C2×C11×AGL(1,ℤ/8)C2211yescharacteristic, complemented
37C2×C11×AGL(1,ℤ/8)C2212yescomplemented
38C2×C11×AGL(1,ℤ/8)C2212yescomplemented
39C2×C11×#135C2211yescharacteristic
40C2×C11×#135C2212yescomplemented
41C2×C11×#135C2212yescomplemented
42C2×C11×#135C2212yescomplemented
43C2×C11×#135C2211yescharacteristic, complemented
44C22×C11×SD16C2211yescharacteristic, complemented
45C22×C11×SD16C2212yescomplemented
46C22×C11×D8C2211yescharacteristic, complemented
47C2×C11×#131C2211yescharacteristic, complemented
48C22×C11×M16C2211yescharacteristic, complemented
49C11×#550—21no—
50C11×#550—21no—
51C11×#550C2212yescomplemented
52C11×#550C2212yescomplemented
53C11×#550C2212yescomplemented
54C11×#548—21no—
55C11×#548—21no—
56C11×#548C2212yescomplemented
57C11×#548C2212yescomplemented
58C11×#548C2212yescomplemented
59C11×#546—22no—
60C11×#546C2212yescomplemented
61D42×C11—22no—
62D42×C11C2212yescomplemented
63C11×#537—21no—
64C11×#537C2211yescharacteristic
65C11×#535—21no—
66C11×#535—22no—
67C11×#535C2211yescharacteristic
68C11×#535C2211yescharacteristic, complemented
69C11×#535C2211yescharacteristic, complemented
70C11×#525—22no—
71C11×#525—21no—
72C11×#525C2211yescharacteristic
73C11×#525C2211yescharacteristic, complemented
74C2×C11×#121—21no—
75C2×C11×#121C2211yescharacteristic
76C11×#520C2211yescharacteristic
77C11×#519C2211yescharacteristic, complemented
78C11×#496C2212yescomplemented
79C11×#496C2212yescomplemented
80C11×#495C2212yescomplemented
81C11×#493C2212yescomplemented
82C11×#469C2212yescomplemented
83C11×#469C2212yescomplemented
84C11×#468C2212yescomplemented
85C11×#468C2212yescomplemented
86C11×#466C2212yescomplemented
87C11×#466C2212yescomplemented
88C11×#465C2212yescomplemented
89C11×#465C2212yescomplemented
90C11×#464C2212yescomplemented
91C11×#464C2212yescomplemented
92C11×#464C2212yescomplemented
93C11×#463C2212yescomplemented
94C11×#460C2212yescomplemented
95C11×#460C2212yescomplemented
96C11×#460C2212yescomplemented
97C11×#459C2212yescomplemented
98C11×#452C2211yescharacteristic, complemented
99C11×#452C2211yescharacteristic, complemented
100C11×#452C2212yescomplemented
101C11×#451C2211yescharacteristic, complemented
102C11×#451C2212yescomplemented
103C11×#450C2211yescharacteristic, complemented
104C11×#449C2212yescomplemented
105C11×#449C2212yescomplemented
106C11×#449C2212yescomplemented
107C11×#449C2212yescomplemented
108C11×#449C2211yescharacteristic, complemented
109C11×#449C2211yescharacteristic, complemented
110C11×#449C2212yescomplemented
111C11×#449C2212yescomplemented
112C11×#449C2212yescomplemented
113C11×#448C2211yescharacteristic, complemented
114C11×#448C2212yescomplemented
115C11×#447C2211yescharacteristic, complemented
116C11×#447C2212yescomplemented
117C11×#447C2212yescomplemented
118C11×#441C2212yescomplemented
119C11×#440C2212yescomplemented
120C4×C11×Q16C2212yescomplemented
121C4×C11×SD16C2212yescomplemented
122C11×#436C2212yescomplemented
123C11×#435C2212yescomplemented
124C11×#435C2212yescomplemented
125C8×D4×C11C2212yescomplemented
126C11×#428C2211yescharacteristic, complemented
127C11×#424C2211yescharacteristic, complemented
128C11×#418C2211yescharacteristic, complemented
129C11×#417C2211yescharacteristic, complemented
130C11×#416C2211yescharacteristic
131C11×#416C2211yescharacteristic, complemented
132C2×C11×#103C2211yescharacteristic, complemented
133C2×C11×#102C2211yescharacteristic, complemented
134C11×#408C2211yescharacteristic, complemented
135C2×C11×C22⋊C8C2211yescharacteristic, complemented
136C11×#405C2211yescharacteristic, complemented
137C11×2−1+4—24no—
138C11×2−1+4—42no—
139C11×H(5,𝔽2)—24no—
140C11×H(5,𝔽2)—42no—
141C2×C11×#41—21no—
142C2×C11×#41—22no—
143C2×C11×#41—21no—
144C2×C11×#41—21no—
145C2×C11×#41—21no—
146C2×C11×#41—21no—
147C2×C11×#41—21no—
148C2×C11×#41—24no—
149C2×C11×#41—24no—
150C2×C11×#41—42no—
151C2×C11×#41—42no—
152C2×C11×#41C2311yescharacteristic
153C2×C11×#41C2311yescharacteristic
154C2×C11×#41C2311yescharacteristic
155C2×C11×#41C2312yes—
156C2×C11×#41C2312yes—
157C2×C11×#41C2312yes—
158C2×C11×#41C2311yescharacteristic
159C2×C11×#41C2312yes—
160C2×C11×#41C2311yescharacteristic
161C2×C11×#41C2311yescharacteristic
162C22×Q8×C11—21no—
163C22×Q8×C11C2312yes—
164C22×Q8×C11C2311yescharacteristic
165C22×Q8×C11C2311yescharacteristic
166C22×D4×C11—21no—
167C22×D4×C11—21no—
168C22×D4×C11—21no—
169C22×D4×C11—21no—
170C22×D4×C11—22no—
171C22×D4×C11—22no—
172C22×D4×C11C2311yescharacteristic
173C22×D4×C11C2311yescharacteristic
174C22×D4×C11C2311yescharacteristic
175C22×D4×C11C2312yes—
176C23×C4×C11—21no—
177C23×C4×C11—21no—
178C23×C4×C11C2311yescharacteristic
179C11×#137—24no—
180C11×#137—28no—
181C11×#137—28no—
182C11×#137D418yescomplemented
183C11×AGL(1,ℤ/8)—24no—
184C11×AGL(1,ℤ/8)—28no—
185C11×AGL(1,ℤ/8)—28no—
186C11×AGL(1,ℤ/8)—24no—
187C11×AGL(1,ℤ/8)—24no—
188C11×#135—24no—
189C11×#135—28no—
190C11×#135—28no—
191C11×#135—28no—
192C11×#135—42no—
193C2×C11×Q16C2311yescharacteristic
194C2×C11×Q16C2312yes—
195C2×C11×Q16C2311yescharacteristic
196C2×C11×Q16C2312yes—
197C2×C11×SD16—24no—
198C2×C11×SD16—28no—
199C2×C11×SD16C2312yes—
200C2×C11×SD16C2312yes—
201C2×C11×SD16C2311yescharacteristic
202C2×C11×SD16C2312yes—
203C2×C11×SD16C2312yes—
204C2×C11×SD16C2311yescharacteristic
205C2×C11×SD16C2312yes—
206C2×C11×SD16C2312yes—
207C2×C11×SD16C2311yescharacteristic
208C2×C11×SD16C2311yescharacteristic
209C2×C11×SD16C2312yes—
210C2×C11×D8—42no—
211C2×C11×D8C2312yes—
212C2×C11×D8C2312yes—
213C2×C11×D8C2311yescharacteristic
214C2×C11×D8C2312yes—
215C2×C11×D8C2311yescharacteristic
216C2×C11×D8C2312yes—
217C2×C11×D8C2312yes—
218C11×#131—24no—
219C2×C11×M16—24no—
220C2×C11×M16C2311yescharacteristic
221C2×C11×M16C2312yes—
222C2×C11×M16C2312yes—
223C2×C11×M16C2311yescharacteristic
224C22×C8×C11C2311yescharacteristic
225C22×C8×C11C2311yescharacteristic
226C22×C8×C11C2312yes—
227C22×C8×C11C2312yes—
228C11×#127—22no—
229C11×#127—22no—
230C11×#127—22no—
231C11×#127—21no—
232C11×#127C2312yes—
233C11×#127C2312yes—
234C11×#124—21no—
235C11×#124—22no—
236C11×#124—22no—
237C11×#124—22no—
238C11×#124C2312yes—
239C11×#124C2312yes—
240C11×#123—21no—
241C11×#123—22no—
242C11×#123D412yes—
243C11×C22⋊Q8—21no—
244C11×C22⋊Q8—22no—
245C11×C22⋊Q8—22no—
246C11×C22⋊Q8—22no—
247C11×C22⋊Q8D411yescharacteristic
248C11×C22⋊Q8D411yescharacteristic
249C11×C22⋊Q8C2311yescharacteristic
250C11×C22⋊Q8C2311yescharacteristic
251C11×C22⋊Q8C2312yes—
252C11×#121—21no—
253C11×#121—22no—
254C11×#121—22no—
255C11×#121—22no—
256C11×#121—22no—
257C11×#121—21no—
258C11×#121—21no—
259C11×#121—21no—
260C11×#121—21no—
261C11×#121—21no—
262C11×#121—21no—
263C11×#121—22no—
264C11×#121—22no—
265C11×#121—22no—
266C11×#121—22no—
267C11×#121—22no—
268C11×#121—22no—
269C11×#121—22no—
270C11×#121—22no—
271C11×#121D411yescharacteristic
272C11×#121D411yescharacteristic
273C11×#121C2312yes—
274C11×#121C2312yes—
275C11×#121C2311yescharacteristic
276C11×#121C2311yescharacteristic
277C11×#121C2312yes—
278C11×#121C2312yes—
279C11×#121C2312yes—
280C11×#120—21no—
281C11×#120—22no—
282C11×#120—22no—
283C11×#120—22no—
284C11×#120—22no—
285C11×#120—22no—
286C11×#120—22no—
287C11×#120D412yes—
288C4×Q8×C11—21no—
289C4×Q8×C11—21no—
290C4×Q8×C11C2312yes—
291C4×Q8×C11C2312yes—
292C4×Q8×C11C2312yes—
293C4×D4×C11—21no—
294C4×D4×C11—21no—
295C4×D4×C11—22no—
296C4×D4×C11—22no—
297C4×D4×C11—22no—
298C4×D4×C11—22no—
299C4×D4×C11—22no—
300C4×D4×C11—22no—
301C4×D4×C11—22no—
302C4×D4×C11C2312yes—
303C4×D4×C11C2312yes—
304C4×D4×C11C2312yes—
305C11×#117—21no—
306C11×#117—22no—
307C11×#117C2311yescharacteristic
308C11×#117C2311yescharacteristic
309C2×C11×C4⋊C4—21no—
310C2×C11×C4⋊C4C2311yescharacteristic
311C2×C11×C22⋊C4—21no—
312C2×C11×C22⋊C4—22no—
313C11×#107C2312yes—
314C11×#106C2312yes—
315C11×C4⋊C8C2312yes—
316C11×C4⋊C8C2312yes—
317C11×#103C2312yes—
318C11×#103C2312yes—
319C11×#103C2311yescharacteristic
320C11×#103C2311yescharacteristic
321C11×#103C2311yescharacteristic
322C11×#103C2311yescharacteristic
323C11×#103C2312yes—
324C11×#102C2312yes—
325C11×#102C2312yes—
326C11×#102C2311yescharacteristic
327C11×#102C2311yescharacteristic
328C11×#102C2311yescharacteristic
329C11×#102C2311yescharacteristic
330C11×#102C2312yes—
331C11×#102C2312yes—
332C11×#102C2312yes—
333C11×C22⋊C8C2311yescharacteristic
334C11×C22⋊C8C2311yescharacteristic
335C11×C22⋊C8C2311yescharacteristic
336C11×C22⋊C8C2311yescharacteristic
337C11×C22⋊C8C2312yes—
338C11×C22⋊C8C2312yes—
339C11×#97C2312yes—
340C4×C8×C11C2312yes—
341#61077C1111yesmaximal, characteristic, direct product factor, Sylow
342C24×C11—21no—
343C24×C11—22no—
344C24×C11—21no—
345C24×C11—21no—
346C24×C11C2×D411yescharacteristic
347C11×#41—22no—
348C11×#41—22no—
349C11×#41—22no—
350C11×#41—24no—
351C11×#41—22no—
352C11×#41—24no—
353C11×#41—24no—
354C11×#41—24no—
355C11×#41—22no—
356C11×#41—22no—
357C11×#41—22no—
358C11×#41—22no—
359C11×#41—22no—
360C11×#41—44no—
361C11×#41—42no—
362C11×#41—42no—
363C11×#41—41no—
364C11×#41—41no—
365C11×#41—42no—
366C11×#41—42no—
367C11×#41—44no—
368C11×#41—48no—
369C11×#41—44no—
370C11×#41—44no—
371C11×#41—44no—
372C11×#41—44no—
373C11×#41C2×D414yes—
374C2×Q8×C11—21no—
375C2×Q8×C11—22no—
376C2×Q8×C11—21no—
377C2×Q8×C11—22no—
378C2×Q8×C11—24no—
379C2×Q8×C11—22no—
380C2×Q8×C11—41no—
381C2×Q8×C11—42no—
382C2×Q8×C11—44no—
383C2×Q8×C11C2×D411yescharacteristic
384C2×Q8×C11C2×D414yescomplemented
385C2×Q8×C11C2411yescharacteristic
386C2×Q8×C11C2411yescharacteristic
387C2×Q8×C11C2412yes—
388C2×Q8×C11C2411yescharacteristic
389C2×D4×C11—21no—
390C2×D4×C11—24no—
391C2×D4×C11—22no—
392C2×D4×C11—22no—
393C2×D4×C11—21no—
394C2×D4×C11—21no—
395C2×D4×C11—21no—
396C2×D4×C11—22no—
397C2×D4×C11—22no—
398C2×D4×C11—22no—
399C2×D4×C11—21no—
400C2×D4×C11—22no—
401C2×D4×C11—22no—
402C2×D4×C11—22no—
403C2×D4×C11—21no—
404C2×D4×C11—21no—
405C2×D4×C11—22no—
406C2×D4×C11—22no—
407C2×D4×C11—22no—
408C2×D4×C11—22no—
409C2×D4×C11—21no—
410C2×D4×C11—22no—
411C2×D4×C11—21no—
412C2×D4×C11—21no—
413C2×D4×C11—22no—
414C2×D4×C11—22no—
415C2×D4×C11—22no—
416C2×D4×C11—22no—
417C2×D4×C11—22no—
418C2×D4×C11—22no—
419C2×D4×C11—41no—
420C2×D4×C11—42no—
421C2×D4×C11—44no—
422C2×D4×C11—44no—
423C2×D4×C11—48no—
424C2×D4×C11—44no—
425C2×D4×C11—84no—
426C2×D4×C11—82no—
427C2×D4×C11C2×D412yes—
428C2×D4×C11C2×D411yescharacteristic
429C2×D4×C11C2×D412yes—
430C2×D4×C11C2×D412yes—
431C2×D4×C11C2412yes—
432C2×D4×C11C2412yes—
433C2×D4×C11C2411yescharacteristic
434C2×D4×C11C2411yescharacteristic
435C2×D4×C11C2411yescharacteristic
436C22×C4×C11—21no—
437C22×C4×C11—21no—
438C22×C4×C11—22no—
439C22×C4×C11—22no—
440C22×C4×C11—21no—
441C22×C4×C11—22no—
442C22×C4×C11—21no—
443C22×C4×C11—21no—
444C22×C4×C11—21no—
445C22×C4×C11—22no—
446C22×C4×C11—21no—
447C22×C4×C11—22no—
448C22×C4×C11—22no—
449C22×C4×C11—22no—
450C22×C4×C11—21no—
451C22×C4×C11—22no—
452C22×C4×C11—44no—
453C22×C4×C11—44no—
454C22×C4×C11C2×D411yescharacteristic
455C22×C4×C11C2×D411yescharacteristic
456C22×C4×C11C2×D411yescharacteristic
457C22×C4×C11C2411yescharacteristic
458C22×C4×C11C2412yes—
459C22×C4×C11C2411yescharacteristic
460C22×C4×C11C2411yescharacteristic
461C11×Q16—22no—
462C11×Q16—24no—
463C11×Q16—41no—
464C11×Q16C2×D418yescomplemented
465C11×SD16—24no—
466C11×SD16—24no—
467C11×SD16—24no—
468C11×SD16—24no—
469C11×SD16—22no—
470C11×SD16—24no—
471C11×SD16—24no—
472C11×SD16—22no—
473C11×SD16—41no—
474C11×SD16—41no—
475C11×SD16C2×D418yescomplemented
476C11×D8—24no—
477C11×D8—24no—
478C11×D8—22no—
479C11×D8—24no—
480C11×D8—42no—
481C11×D8—42no—
482C11×D8—41no—
483C11×M16—24no—
484C11×M16—24no—
485C11×M16—22no—
486C11×M16C2×D414yescomplemented
487C2×C8×C11—24no—
488C2×C8×C11—24no—
489C2×C8×C11—22no—
490C2×C8×C11—22no—
491C2×C8×C11C2411yescharacteristic
492C2×C8×C11C2411yescharacteristic
493C2×C8×C11C2411yescharacteristic
494C2×C8×C11C2411yescharacteristic
495C2×C8×C11C2412yes—
496C2×C8×C11C2412yes—
497C11×C4⋊C4—21no—
498C11×C4⋊C4—22no—
499C11×C4⋊C4—22no—
500C11×C4⋊C4—22no—
501C11×C4⋊C4—21no—
502C11×C4⋊C4—21no—
503C11×C4⋊C4—22no—
504C11×C4⋊C4C2×D411yescharacteristic
505C11×C4⋊C4C2×D411yescharacteristic
506C11×C4⋊C4C2×D412yes—
507C11×C4⋊C4C2×D412yes—
508C11×C4⋊C4C2411yescharacteristic
509C11×C4⋊C4C2411yescharacteristic
510C11×C4⋊C4C2412yes—
511C11×C22⋊C4—22no—
512C11×C22⋊C4—21no—
513C11×C22⋊C4—21no—
514C11×C22⋊C4—21no—
515C11×C22⋊C4—22no—
516C11×C22⋊C4—22no—
517C11×C22⋊C4—22no—
518C11×C22⋊C4—22no—
519C11×C22⋊C4—21no—
520C11×C22⋊C4—21no—
521C11×C22⋊C4—22no—
522C11×C22⋊C4—22no—
523C11×C22⋊C4—22no—
524C11×C22⋊C4—22no—
525C11×C22⋊C4—22no—
526C11×C22⋊C4—22no—
527C11×C22⋊C4C2×D412yes—
528C11×C22⋊C4C2×D412yes—
529C11×C22⋊C4C2×D412yes—
530C11×C22⋊C4C2×D412yes—
531C11×C22⋊C4C2×D412yes—
532C42×C11—22no—
533C42×C11—22no—
534C42×C11—22no—
535C42×C11—21no—
536C42×C11C2412yes—
537C2×#577C2×C1111yescharacteristic, complemented
538C2×#575C2×C1111yescharacteristic, complemented
539#3488C2×C1111yescharacteristic, complemented
540#3487C2×C1111yescharacteristic, complemented
541#3287C2×C1112yescomplemented
542#3282C2×C1112yescomplemented
543#3277C2×C1112yescomplemented
544#3274C2×C1112yescomplemented
545#3271C2×C1112yescomplemented
546#3271C2×C1112yescomplemented
547#3268C2×C1112yescomplemented
548#3265C2×C1112yescomplemented
549#3155C2×C1111yescharacteristic, complemented
550#3062C2×C1111yescharacteristic, complemented
551#3055C2×C1111yescharacteristic, complemented
552#3045C2×C1111yescharacteristic, complemented
553#3043C2×C1111yescharacteristic, complemented
554#3013C2×C1111yescharacteristic, complemented
555#3008C2×C1111yescharacteristic, complemented
556#3002C2×C1111yescharacteristic, complemented
557C2×#449C2×C1111yescharacteristic, complemented
558#2947C2×C1111yescharacteristic, complemented
559#2933C2×C1111yescharacteristic, complemented
560C23×C11—21no—
561C23×C11—22no—
562C23×C11—22no—
563C23×C11—22no—
564C23×C11—21no—
565C23×C11—21no—
566C23×C11—41no—
567C23×C11—41no—
568C23×C11—42no—
569C23×C11—44no—
570C23×C11—42no—
571C23×C11—42no—
572C23×C11—42no—
573C23×C11—81no—
574C23×C11—81no—
575C23×C11—81no—
576C23×C11—81no—
577C23×C11—82no—
578C23×C11—81no—
579C23×C11—82no—
580C23×C11C22×D411yescharacteristic
581C23×C11C22×D412yes—
582C23×C11C22×D411yescharacteristic
583C23×C11C22×D411yescharacteristic
584Q8×C11—24no—
585Q8×C11—22no—
586Q8×C11—22no—
587Q8×C11—21no—
588Q8×C11—21no—
589Q8×C11—21no—
590Q8×C11—21no—
591Q8×C11—21no—
592Q8×C11—44no—
593Q8×C11—42no—
594Q8×C11C22×D414yes—
595Q8×C11C22×D412yes—
596D4×C11—24no—
597D4×C11—24no—
598D4×C11—22no—
599D4×C11—21no—
600D4×C11—21no—
601D4×C11—22no—
602D4×C11—22no—
603D4×C11—21no—
604D4×C11—22no—
605D4×C11—22no—
606D4×C11—21no—
607D4×C11—21no—
608D4×C11—42no—
609D4×C11—42no—
610D4×C11—44no—
611D4×C11—42no—
612D4×C11—44no—
613D4×C11—42no—
614D4×C11—44no—
615D4×C11—44no—
616D4×C11—44no—
617D4×C11—42no—
618D4×C11—44no—
619D4×C11—42no—
620D4×C11—42no—
621D4×C11—42no—
622D4×C11—42no—
623D4×C11—82no—
624D4×C11—82no—
625D4×C11—82no—
626D4×C11—82no—
627D4×C11—82no—
628D4×C11—81no—
629D4×C11—82no—
630D4×C11—81no—
631D4×C11—82no—
632D4×C11—82no—
633D4×C11C22×D412yes—
634C2×C4×C11—22no—
635C2×C4×C11—24no—
636C2×C4×C11—21no—
637C2×C4×C11—22no—
638C2×C4×C11—22no—
639C2×C4×C11—22no—
640C2×C4×C11—24no—
641C2×C4×C11—21no—
642C2×C4×C11—22no—
643C2×C4×C11—21no—
644C2×C4×C11—21no—
645C2×C4×C11—21no—
646C2×C4×C11—22no—
647C2×C4×C11—21no—
648C2×C4×C11—21no—
649C2×C4×C11—22no—
650C2×C4×C11—21no—
651C2×C4×C11—21no—
652C2×C4×C11—42no—
653C2×C4×C11—44no—
654C2×C4×C11—44no—
655C2×C4×C11—44no—
656C2×C4×C11—44no—
657C2×C4×C11—42no—
658C2×C4×C11—42no—
659C2×C4×C11—44no—
660C2×C4×C11—42no—
661C2×C4×C11—42no—
662C2×C4×C11—82no—
663C2×C4×C11—81no—
664C2×C4×C11C22×D412yes—
665C2×C4×C11C22×D412yes—
666C2×C4×C11C22×D411yescharacteristic
667C2×C4×C11C22×D411yescharacteristic
668C2×C4×C11C22×D412yes—
669C2×C4×C11C22×D411yescharacteristic
670C2×C4×C11C22×D412yes—
671C2×C4×C11H(5,𝔽2)12yes—
672C2×C4×C11C2511yescharacteristic
673C8×C11—21no—
674C8×C11—22no—
675C8×C11—21no—
676C8×C11—21no—
677C8×C11—21no—
678C8×C11C22×D414yes—
679C2×2−1+4C22×C1111yescharacteristic, complemented
680C2×H(5,𝔽2)C22×C1111yescharacteristic
681C22×#41C22×C1111yescharacteristic
682C22×#41C22×C1111yescharacteristic, complemented
683#577—28no—
684#575—28no—
685C2×#137C22×C1111yescharacteristic
686C2×#137C22×C1111yescharacteristic, complemented
687C2×#137C22×C1112yescomplemented
688C2×#137C22×C1112yescomplemented
689C2×AGL(1,ℤ/8)C22×C1111yescharacteristic
690C2×AGL(1,ℤ/8)C22×C1111yescharacteristic, complemented
691C2×AGL(1,ℤ/8)C22×C1111yescharacteristic, complemented
692C2×AGL(1,ℤ/8)C22×C1112yescomplemented
693C2×AGL(1,ℤ/8)C22×C1112yescomplemented
694C2×#135C22×C1111yescharacteristic
695C2×#135C22×C1112yescomplemented
696C2×#135C22×C1112yescomplemented
697C2×#135C22×C1112yescomplemented
698C2×#135C22×C1111yescharacteristic, complemented
699C22×SD16C22×C1111yescharacteristic, complemented
700C22×SD16C22×C1112yescomplemented
701C22×D8C22×C1111yescharacteristic, complemented
702C2×#131C22×C1111yescharacteristic, complemented
703C22×M16C22×C1111yescharacteristic, complemented
704#550—21no—
705#550—21no—
706#550C22×C1112yescomplemented
707#550C22×C1112yescomplemented
708#550C22×C1112yescomplemented
709#548—21no—
710#548—21no—
711#548C22×C1112yescomplemented
712#548C22×C1112yescomplemented
713#548C22×C1112yescomplemented
714#546—22no—
715#546C22×C1112yescomplemented
716D42—22no—
717D42C22×C1112yescomplemented
718#537—21no—
719#537C22×C1111yescharacteristic
720#535—21no—
721#535—22no—
722#535C22×C1111yescharacteristic
723#535C22×C1111yescharacteristic, complemented
724#535C22×C1111yescharacteristic, complemented
725#525—22no—
726#525—21no—
727#525C22×C1111yescharacteristic
728#525C22×C1111yescharacteristic, complemented
729C2×#121—21no—
730C2×#121C22×C1111yescharacteristic
731#520C22×C1111yescharacteristic
732#519C22×C1111yescharacteristic, complemented
733#496C22×C1112yescomplemented
734#496C22×C1112yescomplemented
735#495C22×C1112yescomplemented
736#493C22×C1112yescomplemented
737#469C22×C1112yescomplemented
738#469C22×C1112yescomplemented
739#468C22×C1112yescomplemented
740#468C22×C1112yescomplemented
741#466C22×C1112yescomplemented
742#466C22×C1112yescomplemented
743#465C22×C1112yescomplemented
744#465C22×C1112yescomplemented
745#464C22×C1112yescomplemented
746#464C22×C1112yescomplemented
747#464C22×C1112yescomplemented
748#463C22×C1112yescomplemented
749#460C22×C1112yescomplemented
750#460C22×C1112yescomplemented
751#460C22×C1112yescomplemented
752#459C22×C1112yescomplemented
753#452C22×C1111yescharacteristic, complemented
754#452C22×C1111yescharacteristic, complemented
755#452C22×C1112yescomplemented
756#451C22×C1111yescharacteristic, complemented
757#451C22×C1112yescomplemented
758#450C22×C1111yescharacteristic, complemented
759#449C22×C1112yescomplemented
760#449C22×C1112yescomplemented
761#449C22×C1112yescomplemented
762#449C22×C1112yescomplemented
763#449C22×C1111yescharacteristic, complemented
764#449C22×C1111yescharacteristic, complemented
765#449C22×C1112yescomplemented
766#449C22×C1112yescomplemented
767#449C22×C1112yescomplemented
768#448C22×C1111yescharacteristic, complemented
769#448C22×C1112yescomplemented
770#447C22×C1111yescharacteristic, complemented
771#447C22×C1112yescomplemented
772#447C22×C1112yescomplemented
773#441C22×C1112yescomplemented
774#440C22×C1112yescomplemented
775C4×Q16C22×C1112yescomplemented
776C4×SD16C22×C1112yescomplemented
777#436C22×C1112yescomplemented
778#435C22×C1112yescomplemented
779#435C22×C1112yescomplemented
780C8×D4C22×C1112yescomplemented
781#428C22×C1111yescharacteristic, complemented
782#424C22×C1111yescharacteristic, complemented
783#418C22×C1111yescharacteristic, complemented
784#417C22×C1111yescharacteristic, complemented
785#416C22×C1111yescharacteristic
786#416C22×C1111yescharacteristic, complemented
787C2×#103C22×C1111yescharacteristic, complemented
788C2×#102C22×C1111yescharacteristic, complemented
789#408C22×C1111yescharacteristic, complemented
790C2×C22⋊C8C22×C1111yescharacteristic, complemented
791#405C22×C1111yescharacteristic, complemented
792C22×C11—21no—
793C22×C11—21no—
794C22×C11—21no—
795C22×C11—22no—
796C22×C11—21no—
797C22×C11—21no—
798C22×C11—22no—
799C22×C11—21no—
800C22×C11—21no—
801C22×C11—21no—
802C22×C11—22no—
803C22×C11—22no—
804C22×C11—41no—
805C22×C11—41no—
806C22×C11—41no—
807C22×C11—41no—
808C22×C11—42no—
809C22×C11—42no—
810C22×C11—42no—
811C22×C11—41no—
812C22×C11—41no—
813C22×C11—42no—
814C22×C11—41no—
815C22×C11—42no—
816C22×C11—41no—
817C22×C11—42no—
818C22×C11—82no—
819C22×C11—84no—
820C22×C11—84no—
821C22×C11—162no—
822C22×C11—164no—
823C22×C11D4212yes—
824C22×C11C23×D411yescharacteristic
825C4×C11—22no—
826C4×C11—22no—
827C4×C11—21no—
828C4×C11—21no—
829C4×C11—22no—
830C4×C11—24no—
831C4×C11—22no—
832C4×C11—41no—
833C4×C11—42no—
834C4×C11—41no—
835C4×C11—41no—
836C4×C11—41no—
837C4×C11D4212yes—
838C4×C11C23×D411yescharacteristic
839C4×C11C2×H(5,𝔽2)11yescharacteristic
8402−1+4—24no—
8412−1+4—42no—
842H(5,𝔽2)—24no—
843H(5,𝔽2)—42no—
844C2×#41—21no—
845C2×#41—22no—
846C2×#41—21no—
847C2×#41—21no—
848C2×#41—21no—
849C2×#41—21no—
850C2×#41—21no—
851C2×#41—24no—
852C2×#41—24no—
853C2×#41—42no—
854C2×#41—42no—
855C2×#41C23×C1111yescharacteristic
856C2×#41C23×C1111yescharacteristic
857C2×#41C23×C1111yescharacteristic
858C2×#41C23×C1112yes—
859C2×#41C23×C1112yes—
860C2×#41C23×C1112yes—
861C2×#41C23×C1111yescharacteristic
862C2×#41C23×C1112yes—
863C2×#41C23×C1111yescharacteristic
864C2×#41C23×C1111yescharacteristic
865C22×Q8—21no—
866C22×Q8C23×C1112yes—
867C22×Q8C23×C1111yescharacteristic
868C22×Q8C23×C1111yescharacteristic
869C22×D4—21no—
870C22×D4—21no—
871C22×D4—21no—
872C22×D4—21no—
873C22×D4—22no—
874C22×D4—22no—
875C22×D4C23×C1111yescharacteristic
876C22×D4C23×C1111yescharacteristic
877C22×D4C23×C1111yescharacteristic
878C22×D4C23×C1112yes—
879C23×C4—21no—
880C23×C4—21no—
881C23×C4C23×C1111yescharacteristic
882#137—24no—
883#137—28no—
884#137—28no—
885#137D4×C1118yescomplemented
886AGL(1,ℤ/8)—24no—
887AGL(1,ℤ/8)—28no—
888AGL(1,ℤ/8)—28no—
889AGL(1,ℤ/8)—24no—
890AGL(1,ℤ/8)—24no—
891#135—24no—
892#135—28no—
893#135—28no—
894#135—28no—
895#135—42no—
896C2×Q16C23×C1111yescharacteristic
897C2×Q16C23×C1112yes—
898C2×Q16C23×C1111yescharacteristic
899C2×Q16C23×C1112yes—
900C2×SD16—24no—
901C2×SD16—28no—
902C2×SD16C23×C1111yescharacteristic
903C2×SD16C23×C1112yes—
904C2×SD16C23×C1112yes—
905C2×SD16C23×C1112yes—
906C2×SD16C23×C1111yescharacteristic
907C2×SD16C23×C1112yes—
908C2×SD16C23×C1112yes—
909C2×SD16C23×C1112yes—
910C2×SD16C23×C1111yescharacteristic
911C2×SD16C23×C1111yescharacteristic
912C2×SD16C23×C1112yes—
913C2×D8—42no—
914C2×D8C23×C1111yescharacteristic
915C2×D8C23×C1112yes—
916C2×D8C23×C1112yes—
917C2×D8C23×C1112yes—
918C2×D8C23×C1112yes—
919C2×D8C23×C1112yes—
920C2×D8C23×C1111yescharacteristic
921#131—24no—
922C2×M16—24no—
923C2×M16C23×C1111yescharacteristic
924C2×M16C23×C1112yes—
925C2×M16C23×C1112yes—
926C2×M16C23×C1111yescharacteristic
927C22×C8C23×C1112yes—
928C22×C8C23×C1111yescharacteristic
929C22×C8C23×C1112yes—
930C22×C8C23×C1111yescharacteristic
931#127—22no—
932#127—22no—
933#127—22no—
934#127—21no—
935#127C23×C1112yes—
936#127C23×C1112yes—
937#124—21no—
938#124—22no—
939#124—22no—
940#124—22no—
941#124C23×C1112yes—
942#124C23×C1112yes—
943#123—21no—
944#123—22no—
945#123D4×C1112yes—
946C22⋊Q8—21no—
947C22⋊Q8—22no—
948C22⋊Q8—22no—
949C22⋊Q8—22no—
950C22⋊Q8D4×C1111yescharacteristic
951C22⋊Q8D4×C1111yescharacteristic
952C22⋊Q8C23×C1111yescharacteristic
953C22⋊Q8C23×C1111yescharacteristic
954C22⋊Q8C23×C1112yes—
955#121—21no—
956#121—22no—
957#121—22no—
958#121—22no—
959#121—22no—
960#121—21no—
961#121—21no—
962#121—21no—
963#121—21no—
964#121—21no—
965#121—21no—
966#121—22no—
967#121—22no—
968#121—22no—
969#121—22no—
970#121—22no—
971#121—22no—
972#121—22no—
973#121—22no—
974#121D4×C1111yescharacteristic
975#121D4×C1111yescharacteristic
976#121C23×C1112yes—
977#121C23×C1112yes—
978#121C23×C1111yescharacteristic
979#121C23×C1111yescharacteristic
980#121C23×C1112yes—
981#121C23×C1112yes—
982#121C23×C1112yes—
983#120—21no—
984#120—22no—
985#120—22no—
986#120—22no—
987#120—22no—
988#120—22no—
989#120—22no—
990#120D4×C1112yes—
991C4×Q8—21no—
992C4×Q8—21no—
993C4×Q8C23×C1112yes—
994C4×Q8C23×C1112yes—
995C4×Q8C23×C1112yes—
996C4×D4—21no—
997C4×D4—21no—
998C4×D4—22no—
999C4×D4—22no—
1000C4×D4—22no—
1001C4×D4—22no—
1002C4×D4—22no—
1003C4×D4—22no—
1004C4×D4—22no—
1005C4×D4C23×C1112yes—
1006C4×D4C23×C1112yes—
1007C4×D4C23×C1112yes—
1008#117—21no—
1009#117—22no—
1010#117C23×C1111yescharacteristic
1011#117C23×C1111yescharacteristic
1012C2×C4⋊C4—21no—
1013C2×C4⋊C4C23×C1111yescharacteristic
1014C2×C22⋊C4—21no—
1015C2×C22⋊C4—22no—
1016#107C23×C1112yes—
1017#106C23×C1112yes—
1018C4⋊C8C23×C1112yes—
1019C4⋊C8C23×C1112yes—
1020#103C23×C1112yes—
1021#103C23×C1112yes—
1022#103C23×C1111yescharacteristic
1023#103C23×C1111yescharacteristic
1024#103C23×C1111yescharacteristic
1025#103C23×C1111yescharacteristic
1026#103C23×C1112yes—
1027#102C23×C1112yes—
1028#102C23×C1112yes—
1029#102C23×C1111yescharacteristic
1030#102C23×C1111yescharacteristic
1031#102C23×C1111yescharacteristic
1032#102C23×C1111yescharacteristic
1033#102C23×C1112yes—
1034#102C23×C1112yes—
1035#102C23×C1112yes—
1036C22⋊C8C23×C1111yescharacteristic
1037C22⋊C8C23×C1111yescharacteristic
1038C22⋊C8C23×C1111yescharacteristic
1039C22⋊C8C23×C1111yescharacteristic
1040C22⋊C8C23×C1112yes—
1041C22⋊C8C23×C1112yes—
1042#97C23×C1112yes—
1043C4×C8C23×C1112yes—
1044C2×C11—22no—
1045C2×C11—41no—
1046C2×C11—41no—
1047C2×C11—42no—
1048C2×C11—42no—
1049C2×C11—81no—
1050C2×C11—81no—
1051C2×C11—82no—
1052C2×C11—82no—
1053C2×C11C2×D4211yescharacteristic
1054C2×C11#358411yescharacteristic
1055C2×C11#358511yescharacteristic
1056C24—21no—
1057C24—22no—
1058C24—21no—
1059C24—21no—
1060C24C2×D4×C1111yescharacteristic
1061#41—22no—
1062#41—22no—
1063#41—22no—
1064#41—24no—
1065#41—22no—
1066#41—24no—
1067#41—24no—
1068#41—24no—
1069#41—22no—
1070#41—22no—
1071#41—22no—
1072#41—22no—
1073#41—22no—
1074#41—44no—
1075#41—42no—
1076#41—42no—
1077#41—41no—
1078#41—41no—
1079#41—42no—
1080#41—42no—
1081#41—44no—
1082#41—48no—
1083#41—44no—
1084#41—44no—
1085#41—44no—
1086#41—44no—
1087#41C2×D4×C1114yes—
1088C2×Q8—21no—
1089C2×Q8—22no—
1090C2×Q8—21no—
1091C2×Q8—22no—
1092C2×Q8—24no—
1093C2×Q8—22no—
1094C2×Q8—41no—
1095C2×Q8—42no—
1096C2×Q8—44no—
1097C2×Q8C2×D4×C1111yescharacteristic
1098C2×Q8C2×D4×C1114yescomplemented
1099C2×Q8C24×C1111yescharacteristic
1100C2×Q8C24×C1111yescharacteristic
1101C2×Q8C24×C1112yes—
1102C2×Q8C24×C1111yescharacteristic
1103C2×D4—21no—
1104C2×D4—24no—
1105C2×D4—22no—
1106C2×D4—22no—
1107C2×D4—21no—
1108C2×D4—21no—
1109C2×D4—21no—
1110C2×D4—22no—
1111C2×D4—22no—
1112C2×D4—22no—
1113C2×D4—21no—
1114C2×D4—22no—
1115C2×D4—22no—
1116C2×D4—22no—
1117C2×D4—21no—
1118C2×D4—21no—
1119C2×D4—22no—
1120C2×D4—22no—
1121C2×D4—22no—
1122C2×D4—22no—
1123C2×D4—21no—
1124C2×D4—22no—
1125C2×D4—21no—
1126C2×D4—21no—
1127C2×D4—22no—
1128C2×D4—22no—
1129C2×D4—22no—
1130C2×D4—22no—
1131C2×D4—22no—
1132C2×D4—22no—
1133C2×D4—41no—
1134C2×D4—42no—
1135C2×D4—44no—
1136C2×D4—44no—
1137C2×D4—48no—
1138C2×D4—44no—
1139C2×D4—84no—
1140C2×D4—82no—
1141C2×D4C2×D4×C1112yes—
1142C2×D4C2×D4×C1111yescharacteristic
1143C2×D4C2×D4×C1112yes—
1144C2×D4C2×D4×C1112yes—
1145C2×D4C24×C1112yes—
1146C2×D4C24×C1112yes—
1147C2×D4C24×C1111yescharacteristic
1148C2×D4C24×C1111yescharacteristic
1149C2×D4C24×C1111yescharacteristic
1150C22×C4—21no—
1151C22×C4—21no—
1152C22×C4—22no—
1153C22×C4—22no—
1154C22×C4—21no—
1155C22×C4—22no—
1156C22×C4—21no—
1157C22×C4—21no—
1158C22×C4—21no—
1159C22×C4—22no—
1160C22×C4—21no—
1161C22×C4—22no—
1162C22×C4—22no—
1163C22×C4—22no—
1164C22×C4—21no—
1165C22×C4—22no—
1166C22×C4—44no—
1167C22×C4—44no—
1168C22×C4C2×D4×C1111yescharacteristic
1169C22×C4C2×D4×C1111yescharacteristic
1170C22×C4C2×D4×C1111yescharacteristic
1171C22×C4C24×C1111yescharacteristic
1172C22×C4C24×C1112yes—
1173C22×C4C24×C1111yescharacteristic
1174C22×C4C24×C1111yescharacteristic
1175Q16—22no—
1176Q16—24no—
1177Q16—41no—
1178Q16C2×D4×C1118yescomplemented
1179SD16—24no—
1180SD16—24no—
1181SD16—22no—
1182SD16—24no—
1183SD16—24no—
1184SD16—22no—
1185SD16—24no—
1186SD16—24no—
1187SD16—41no—
1188SD16—41no—
1189SD16C2×D4×C1118yescomplemented
1190D8—22no—
1191D8—24no—
1192D8—24no—
1193D8—24no—
1194D8—42no—
1195D8—42no—
1196D8—41no—
1197M16—22no—
1198M16—24no—
1199M16—24no—
1200M16C2×D4×C1114yescomplemented
1201C2×C8—22no—
1202C2×C8—22no—
1203C2×C8—24no—
1204C2×C8—24no—
1205C2×C8C24×C1111yescharacteristic
1206C2×C8C24×C1111yescharacteristic
1207C2×C8C24×C1111yescharacteristic
1208C2×C8C24×C1111yescharacteristic
1209C2×C8C24×C1112yes—
1210C2×C8C24×C1112yes—
1211C4⋊C4—21no—
1212C4⋊C4—22no—
1213C4⋊C4—22no—
1214C4⋊C4—22no—
1215C4⋊C4—21no—
1216C4⋊C4—21no—
1217C4⋊C4—22no—
1218C4⋊C4C2×D4×C1111yescharacteristic
1219C4⋊C4C2×D4×C1111yescharacteristic
1220C4⋊C4C2×D4×C1112yes—
1221C4⋊C4C2×D4×C1112yes—
1222C4⋊C4C24×C1111yescharacteristic
1223C4⋊C4C24×C1111yescharacteristic
1224C4⋊C4C24×C1112yes—
1225C22⋊C4—22no—
1226C22⋊C4—21no—
1227C22⋊C4—21no—
1228C22⋊C4—21no—
1229C22⋊C4—22no—
1230C22⋊C4—22no—
1231C22⋊C4—22no—
1232C22⋊C4—22no—
1233C22⋊C4—21no—
1234C22⋊C4—21no—
1235C22⋊C4—22no—
1236C22⋊C4—22no—
1237C22⋊C4—22no—
1238C22⋊C4—22no—
1239C22⋊C4—22no—
1240C22⋊C4—22no—
1241C22⋊C4C2×D4×C1112yes—
1242C22⋊C4C2×D4×C1112yes—
1243C22⋊C4C2×D4×C1112yes—
1244C22⋊C4C2×D4×C1112yes—
1245C22⋊C4C2×D4×C1112yes—
1246C42—22no—
1247C42—22no—
1248C42—22no—
1249C42—21no—
1250C42C24×C1112yes—
1251C11#6107711yescharacteristic, direct product factor, Sylow
1252C23—21no—
1253C23—22no—
1254C23—22no—
1255C23—22no—
1256C23—21no—
1257C23—21no—
1258C23—41no—
1259C23—41no—
1260C23—42no—
1261C23—44no—
1262C23—42no—
1263C23—42no—
1264C23—42no—
1265C23—81no—
1266C23—81no—
1267C23—81no—
1268C23—81no—
1269C23—82no—
1270C23—81no—
1271C23—82no—
1272C23C22×D4×C1111yescharacteristic
1273C23C22×D4×C1112yes—
1274C23C22×D4×C1111yescharacteristic
1275C23C22×D4×C1111yescharacteristic
1276Q8—24no—
1277Q8—22no—
1278Q8—22no—
1279Q8—21no—
1280Q8—21no—
1281Q8—21no—
1282Q8—21no—
1283Q8—21no—
1284Q8—44no—
1285Q8—42no—
1286Q8C22×D4×C1114yes—
1287Q8C22×D4×C1112yes—
1288D4—24no—
1289D4—24no—
1290D4—22no—
1291D4—21no—
1292D4—22no—
1293D4—21no—
1294D4—22no—
1295D4—21no—
1296D4—22no—
1297D4—22no—
1298D4—21no—
1299D4—21no—
1300D4—42no—
1301D4—42no—
1302D4—44no—
1303D4—42no—
1304D4—44no—
1305D4—42no—
1306D4—44no—
1307D4—44no—
1308D4—44no—
1309D4—42no—
1310D4—44no—
1311D4—42no—
1312D4—42no—
1313D4—42no—
1314D4—42no—
1315D4—82no—
1316D4—82no—
1317D4—82no—
1318D4—82no—
1319D4—82no—
1320D4—81no—
1321D4—82no—
1322D4—81no—
1323D4—82no—
1324D4—82no—
1325D4C22×D4×C1112yes—
1326C2×C4—22no—
1327C2×C4—24no—
1328C2×C4—21no—
1329C2×C4—22no—
1330C2×C4—22no—
1331C2×C4—22no—
1332C2×C4—24no—
1333C2×C4—21no—
1334C2×C4—22no—
1335C2×C4—21no—
1336C2×C4—21no—
1337C2×C4—21no—
1338C2×C4—22no—
1339C2×C4—21no—
1340C2×C4—21no—
1341C2×C4—22no—
1342C2×C4—21no—
1343C2×C4—21no—
1344C2×C4—42no—
1345C2×C4—44no—
1346C2×C4—44no—
1347C2×C4—44no—
1348C2×C4—44no—
1349C2×C4—42no—
1350C2×C4—42no—
1351C2×C4—44no—
1352C2×C4—42no—
1353C2×C4—42no—
1354C2×C4—82no—
1355C2×C4—81no—
1356C2×C4C22×D4×C1112yes—
1357C2×C4C22×D4×C1112yes—
1358C2×C4C22×D4×C1111yescharacteristic
1359C2×C4C22×D4×C1111yescharacteristic
1360C2×C4C22×D4×C1112yes—
1361C2×C4C22×D4×C1111yescharacteristic
1362C2×C4C22×D4×C1112yes—
1363C2×C4C11×H(5,𝔽2)12yes—
1364C2×C4C25×C1111yescharacteristic
1365C8—21no—
1366C8—21no—
1367C8—22no—
1368C8—21no—
1369C8—21no—
1370C8C22×D4×C1114yes—
1371C22—21no—
1372C22—21no—
1373C22—21no—
1374C22—21no—
1375C22—22no—
1376C22—22no—
1377C22—21no—
1378C22—22no—
1379C22—21no—
1380C22—21no—
1381C22—22no—
1382C22—21no—
1383C22—41no—
1384C22—41no—
1385C22—41no—
1386C22—42no—
1387C22—41no—
1388C22—42no—
1389C22—41no—
1390C22—41no—
1391C22—42no—
1392C22—42no—
1393C22—42no—
1394C22—41no—
1395C22—41no—
1396C22—42no—
1397C22—82no—
1398C22—84no—
1399C22—84no—
1400C22—162no—
1401C22—164no—
1402C22D42×C1112yes—
1403C22C23×D4×C1111yescharacteristic
1404C4—21no—
1405C4—21no—
1406C4—22no—
1407C4—24no—
1408C4—22no—
1409C4—22no—
1410C4—22no—
1411C4—41no—
1412C4—41no—
1413C4—41no—
1414C4—42no—
1415C4—41no—
1416C4D42×C1112yes—
1417C4C23×D4×C1111yescharacteristic
1418C4C2×C11×H(5,𝔽2)11yescharacteristic
1419C2—22no—
1420C2—41no—
1421C2—41no—
1422C2—42no—
1423C2—42no—
1424C2—81no—
1425C2—82no—
1426C2—82no—
1427C2—81no—
1428C2C2×D42×C1111yescharacteristic
1429C2C11×#358411yescharacteristic
1430C2C11×#358511yescharacteristic
subgroupG/H
center, socleC22×C11C23×D4
commutator, Frattini, cosocleC2×C4C25×C11
LCSG ▷ C2×C4 ▷ C2 ▷ C1
UCSC1 ◁ C22×C11 ◁ C11×#525 ◁ G

Complements

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

NH ≅ G/Ntype
1. C2×C11×#577C2semidirect
2. C2×C11×#575C2semidirect
3. C11×#3488C2semidirect
4. C11×#3487C2semidirect
5. C11×#3287C2semidirect
6. C11×#3282C2semidirect
7. C11×#3277C2semidirect
8. C11×#3274C2semidirect
9. C11×#3271C2semidirect
10. C11×#3271C2semidirect
11. C11×#3268C2semidirect
12. C11×#3265C2semidirect
13. C11×#3155C2semidirect
14. C11×#3062C2semidirect
15. C11×#3055C2semidirect
16. C11×#3045C2semidirect
17. C11×#3043C2semidirect
18. C11×#3013C2semidirect
19. C11×#3008C2semidirect
20. C11×#3002C2semidirect
21. C2×C11×#449C2semidirect
22. C11×#2947C2semidirect
23. C11×#2933C2semidirect
24. C2×C11×2−1+4C22semidirect
27. C22×C11×#41C22semidirect
31. C2×C11×#137C22semidirect
32. C2×C11×#137C22semidirect
33. C2×C11×#137C22semidirect
35. C2×C11×AGL(1,ℤ/8)C22semidirect
36. C2×C11×AGL(1,ℤ/8)C22semidirect
37. C2×C11×AGL(1,ℤ/8)C22semidirect
38. C2×C11×AGL(1,ℤ/8)C22semidirect
40. C2×C11×#135C22semidirect
41. C2×C11×#135C22semidirect
42. C2×C11×#135C22semidirect
43. C2×C11×#135C22semidirect
44. C22×C11×SD16C22semidirect
45. C22×C11×SD16C22semidirect
46. C22×C11×D8C22semidirect
47. C2×C11×#131C22semidirect
48. C22×C11×M16C22semidirect
51. C11×#550C22semidirect
52. C11×#550C22semidirect
53. C11×#550C22semidirect
56. C11×#548C22semidirect
57. C11×#548C22semidirect
58. C11×#548C22semidirect
60. C11×#546C22semidirect
62. D42×C11C22semidirect
68. C11×#535C22semidirect
69. C11×#535C22semidirect
73. C11×#525C22semidirect
77. C11×#519C22semidirect
78. C11×#496C22semidirect
79. C11×#496C22semidirect
80. C11×#495C22semidirect
81. C11×#493C22semidirect
82. C11×#469C22semidirect
83. C11×#469C22semidirect
84. C11×#468C22semidirect
85. C11×#468C22semidirect
86. C11×#466C22semidirect
87. C11×#466C22semidirect
88. C11×#465C22semidirect
89. C11×#465C22semidirect
90. C11×#464C22semidirect
91. C11×#464C22semidirect
92. C11×#464C22semidirect
93. C11×#463C22semidirect
94. C11×#460C22semidirect
95. C11×#460C22semidirect
96. C11×#460C22semidirect
97. C11×#459C22semidirect
98. C11×#452C22semidirect
99. C11×#452C22semidirect
100. C11×#452C22semidirect
101. C11×#451C22semidirect
102. C11×#451C22semidirect
103. C11×#450C22semidirect
104. C11×#449C22semidirect
105. C11×#449C22semidirect
106. C11×#449C22semidirect
107. C11×#449C22semidirect
108. C11×#449C22semidirect
109. C11×#449C22semidirect
110. C11×#449C22semidirect
111. C11×#449C22semidirect
112. C11×#449C22semidirect
113. C11×#448C22semidirect
114. C11×#448C22semidirect
115. C11×#447C22semidirect
116. C11×#447C22semidirect
117. C11×#447C22semidirect
118. C11×#441C22semidirect
119. C11×#440C22semidirect
120. C4×C11×Q16C22semidirect
121. C4×C11×SD16C22semidirect
122. C11×#436C22semidirect
123. C11×#435C22semidirect
124. C11×#435C22semidirect
125. C8×D4×C11C22semidirect
126. C11×#428C22semidirect
127. C11×#424C22semidirect
128. C11×#418C22semidirect
129. C11×#417C22semidirect
131. C11×#416C22semidirect
132. C2×C11×#103C22semidirect
133. C2×C11×#102C22semidirect
134. C11×#408C22semidirect
135. C2×C11×C22⋊C8C22semidirect
136. C11×#405C22semidirect
182. C11×#137D4semidirect
341. #61077C11direct (N × H)
384. C2×Q8×C11C2×D4semidirect
464. C11×Q16C2×D4semidirect
475. C11×SD16C2×D4semidirect
486. C11×M16C2×D4semidirect
537. C2×#577C2×C11semidirect
538. C2×#575C2×C11semidirect
539. #3488C2×C11semidirect
540. #3487C2×C11semidirect
541. #3287C2×C11semidirect
542. #3282C2×C11semidirect
543. #3277C2×C11semidirect
544. #3274C2×C11semidirect
545. #3271C2×C11semidirect
546. #3271C2×C11semidirect
547. #3268C2×C11semidirect
548. #3265C2×C11semidirect
549. #3155C2×C11semidirect
550. #3062C2×C11semidirect
551. #3055C2×C11semidirect
552. #3045C2×C11semidirect
553. #3043C2×C11semidirect
554. #3013C2×C11semidirect
555. #3008C2×C11semidirect
556. #3002C2×C11semidirect
557. C2×#449C2×C11semidirect
558. #2947C2×C11semidirect
559. #2933C2×C11semidirect
679. C2×2−1+4C22×C11semidirect
682. C22×#41C22×C11semidirect
686. C2×#137C22×C11semidirect
687. C2×#137C22×C11semidirect
688. C2×#137C22×C11semidirect
690. C2×AGL(1,ℤ/8)C22×C11semidirect
691. C2×AGL(1,ℤ/8)C22×C11semidirect
692. C2×AGL(1,ℤ/8)C22×C11semidirect
693. C2×AGL(1,ℤ/8)C22×C11semidirect
695. C2×#135C22×C11semidirect
696. C2×#135C22×C11semidirect
697. C2×#135C22×C11semidirect
698. C2×#135C22×C11semidirect
699. C22×SD16C22×C11semidirect
700. C22×SD16C22×C11semidirect
701. C22×D8C22×C11semidirect
702. C2×#131C22×C11semidirect
703. C22×M16C22×C11semidirect
706. #550C22×C11semidirect
707. #550C22×C11semidirect
708. #550C22×C11semidirect
711. #548C22×C11semidirect
712. #548C22×C11semidirect
713. #548C22×C11semidirect
715. #546C22×C11semidirect
717. D42C22×C11semidirect
723. #535C22×C11semidirect
724. #535C22×C11semidirect
728. #525C22×C11semidirect
732. #519C22×C11semidirect
733. #496C22×C11semidirect
734. #496C22×C11semidirect
735. #495C22×C11semidirect
736. #493C22×C11semidirect
737. #469C22×C11semidirect
738. #469C22×C11semidirect
739. #468C22×C11semidirect
740. #468C22×C11semidirect
741. #466C22×C11semidirect
742. #466C22×C11semidirect
743. #465C22×C11semidirect
744. #465C22×C11semidirect
745. #464C22×C11semidirect
746. #464C22×C11semidirect
747. #464C22×C11semidirect
748. #463C22×C11semidirect
749. #460C22×C11semidirect
750. #460C22×C11semidirect
751. #460C22×C11semidirect
752. #459C22×C11semidirect
753. #452C22×C11semidirect
754. #452C22×C11semidirect
755. #452C22×C11semidirect
756. #451C22×C11semidirect
757. #451C22×C11semidirect
758. #450C22×C11semidirect
759. #449C22×C11semidirect
760. #449C22×C11semidirect
761. #449C22×C11semidirect
762. #449C22×C11semidirect
763. #449C22×C11semidirect
764. #449C22×C11semidirect
765. #449C22×C11semidirect
766. #449C22×C11semidirect
767. #449C22×C11semidirect
768. #448C22×C11semidirect
769. #448C22×C11semidirect
770. #447C22×C11semidirect
771. #447C22×C11semidirect
772. #447C22×C11semidirect
773. #441C22×C11semidirect
774. #440C22×C11semidirect
775. C4×Q16C22×C11semidirect
776. C4×SD16C22×C11semidirect
777. #436C22×C11semidirect
778. #435C22×C11semidirect
779. #435C22×C11semidirect
780. C8×D4C22×C11semidirect
781. #428C22×C11semidirect
782. #424C22×C11semidirect
783. #418C22×C11semidirect
784. #417C22×C11semidirect
786. #416C22×C11semidirect
787. C2×#103C22×C11semidirect
788. C2×#102C22×C11semidirect
789. #408C22×C11semidirect
790. C2×C22⋊C8C22×C11semidirect
791. #405C22×C11semidirect
885. #137D4×C11semidirect
1098. C2×Q8C2×D4×C11semidirect
1178. Q16C2×D4×C11semidirect
1189. SD16C2×D4×C11semidirect
1200. M16C2×D4×C11semidirect
1251. C11#61077direct (N × H)

Maximal subgroups

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

subgroupindex
C2×C11×#5772
C2×C11×#5752
C11×#34882
C11×#34872
C11×#32872
C11×#32822
C11×#32772
C11×#32742
C11×#32712
C11×#32682
C11×#32652
C11×#31552
C11×#30622
C11×#30552
C11×#30452
C11×#30432
C11×#30132
C11×#30082
C11×#30022
C2×C11×#4492
C11×#29472
C11×#29332
#6107711