Finite Group Databasebeta

← C11×#61071 #14638264

Subgroups — C11×#61071 #14638264

Order 2816.

2876 conjugacy classes of subgroups.

The subgroup lattice has 1446 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C11×#577C211yesmaximal, characteristic, complemented
2C22×C11×AGL(1,ℤ/8)C211yesmaximal, characteristic, complemented
3C11×#3489C211yesmaximal, characteristic, complemented
4C11×#3484C211yesmaximal, characteristic, complemented
5D4×C11×SD16C212yesmaximal, complemented
6C11×#3280C212yesmaximal, complemented
7C11×#3275C212yesmaximal, complemented
8C11×#3272C212yesmaximal, complemented
9C11×#3267C212yesmaximal, complemented
10C11×#3266C212yesmaximal, complemented
11C11×#3265C212yesmaximal, complemented
12C11×#3264C212yesmaximal, complemented
13C11×#3154C211yesmaximal, characteristic, complemented
14C11×#3062C211yesmaximal, characteristic, complemented
15C11×#3056C211yesmaximal, characteristic, complemented
16C11×#3045C211yesmaximal, characteristic, complemented
17C11×#3042C211yesmaximal, characteristic, complemented
18C11×#3012C211yesmaximal, characteristic, complemented
19C11×#3010C211yesmaximal, characteristic, complemented
20C11×#3002C211yesmaximal, characteristic, complemented
21C2×C11×#450C211yesmaximal, characteristic, complemented
22C11×#2946C211yesmaximal, characteristic, complemented
23C11×#2933C211yesmaximal, characteristic, complemented
24C2×C11×2−1+4C2211yescharacteristic, complemented
25C2×C11×H(5,𝔽2)C2211yescharacteristic, complemented
26C22×C11×#41C2211yescharacteristic, complemented
27C23×D4×C11C2211yescharacteristic
28C11×#577—28no—
29C2×C11×#137C2211yescharacteristic, complemented
30C2×C11×#137C2212yescomplemented
31C2×C11×AGL(1,ℤ/8)—28no—
32C2×C11×AGL(1,ℤ/8)C2211yescharacteristic
33C2×C11×AGL(1,ℤ/8)C2211yescharacteristic
34C2×C11×AGL(1,ℤ/8)C2211yescharacteristic, complemented
35C2×C11×AGL(1,ℤ/8)C2212yescomplemented
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, complemented
40C2×C11×#135C2211yescharacteristic, complemented
41C2×C11×#135C2212yescomplemented
42C22×C11×SD16C2211yescharacteristic, complemented
43C22×C11×SD16C2212yescomplemented
44C22×C11×SD16C2211yescharacteristic, complemented
45C22×C11×SD16C2212yescomplemented
46C22×C11×D8C2212yescomplemented
47C2×C11×#131C2211yescharacteristic, complemented
48C22×C11×M16C2211yescharacteristic, complemented
49D4×Q8×C11C2212yescomplemented
50C11×#548C2212yescomplemented
51C11×#547—22no—
52C11×#547C2212yescomplemented
53C11×#546—21no—
54C11×#546—21no—
55C11×#546—22no—
56C11×#546C2212yes—
57C11×#546C2212yescomplemented
58C11×#546C2212yescomplemented
59D42×C11—21no—
60D42×C11—21no—
61D42×C11C2212yes—
62D42×C11C2212yescomplemented
63C11×#537—21no—
64C11×#537C2211yescharacteristic, complemented
65C11×#536—21no—
66C11×#536C2211yescharacteristic, complemented
67C11×#535C2211yescharacteristic, complemented
68C11×#535C2211yescharacteristic, complemented
69C11×#534—22no—
70C11×#525—21no—
71C11×#525C2211yescharacteristic
72C11×#525C2211yescharacteristic
73C2×C11×C22⋊Q8—21no—
74C2×C11×C22⋊Q8C2211yescharacteristic, complemented
75C2×C11×#120—22no—
76C11×#520C2211yescharacteristic, complemented
77C11×#518C2211yescharacteristic, complemented
78C11×#497C2212yescomplemented
79C11×#496C2212yescomplemented
80C11×#495C2212yescomplemented
81C11×#492C2212yescomplemented
82C11×#470C2212yescomplemented
83C11×#469C2212yescomplemented
84C11×#468C2212yescomplemented
85C11×#468C2212yescomplemented
86C11×#467C2212yescomplemented
87C11×#466C2212yescomplemented
88C11×#465C2212yescomplemented
89C11×#465C2212yescomplemented
90C11×#464C2212yescomplemented
91C11×#463C2212yescomplemented
92C11×#463C2212yescomplemented
93C11×#463C2212yescomplemented
94C11×#461C2212yescomplemented
95C11×#461C2212yescomplemented
96C11×#460C2212yescomplemented
97C11×#459C2212yescomplemented
98C11×#452C2211yescharacteristic, complemented
99C11×#452C2211yescharacteristic, complemented
100C11×#452C2212yescomplemented
101C11×#451C2211yescharacteristic, complemented
102C11×#450C2212yescomplemented
103C11×#450C2212yescomplemented
104C11×#450C2212yescomplemented
105C11×#450C2212yescomplemented
106C11×#450C2211yescharacteristic, complemented
107C11×#450C2212yescomplemented
108C11×#449C2211yescharacteristic, complemented
109C11×#449C2211yescharacteristic, complemented
110C11×#449C2212yescomplemented
111C11×#449C2212yescomplemented
112C11×#449C2212yescomplemented
113C11×#448C2211yescharacteristic, complemented
114C11×#448C2212yescomplemented
115C11×#448C2212yescomplemented
116C11×#447C2211yescharacteristic, complemented
117C11×#447C2212yescomplemented
118C11×#442C2212yescomplemented
119C11×#440C2212yescomplemented
120C4×C11×SD16C2212yescomplemented
121C4×C11×D8C2212yescomplemented
122C11×#436C2212yescomplemented
123C11×#435C2212yescomplemented
124C11×#435C2212yescomplemented
125C8×D4×C11C2212yescomplemented
126C11×#428C2211yescharacteristic, complemented
127C11×#424C2211yescharacteristic, complemented
128C11×#419C2211yescharacteristic, complemented
129C11×#417C2211yescharacteristic, complemented
130C11×#416C2211yescharacteristic, complemented
131C11×#416C2211yescharacteristic, complemented
132C2×C11×#102C2211yescharacteristic, complemented
133C2×C11×#102C2211yescharacteristic, complemented
134C11×#408C2211yescharacteristic, complemented
135C2×C11×C22⋊C8C2211yescharacteristic, complemented
136C11×#405C2211yescharacteristic, complemented
137C25×C11—21no—
138C11×2−1+4—24no—
139C11×2−1+4—42no—
140C11×H(5,𝔽2)—24no—
141C11×H(5,𝔽2)—42no—
142C2×C11×#41—21no—
143C2×C11×#41—21no—
144C2×C11×#41—22no—
145C2×C11×#41—21no—
146C2×C11×#41—21no—
147C2×C11×#41—24no—
148C2×C11×#41—42no—
149C2×C11×#41C2311yescharacteristic
150C2×C11×#41C2311yescharacteristic
151C2×C11×#41C2312yes—
152C2×C11×#41C2311yescharacteristic
153C2×C11×#41C2311yescharacteristic
154C2×C11×#41C2311yescharacteristic
155C2×C11×#41C2311yescharacteristic
156C2×C11×#41C2312yescomplemented
157C22×Q8×C11—21no—
158C22×Q8×C11C2311yescharacteristic
159C22×Q8×C11C2311yescharacteristic
160C22×Q8×C11C2312yescomplemented
161C22×D4×C11—24no—
162C22×D4×C11—21no—
163C22×D4×C11—22no—
164C22×D4×C11—21no—
165C22×D4×C11—22no—
166C22×D4×C11—22no—
167C22×D4×C11—21no—
168C22×D4×C11—21no—
169C22×D4×C11—21no—
170C22×D4×C11—42no—
171C22×D4×C11C2311yescharacteristic
172C22×D4×C11C2312yes—
173C22×D4×C11C2312yes—
174C22×D4×C11C2312yes—
175C22×D4×C11C2311yescharacteristic
176C22×D4×C11C2311yescharacteristic
177C23×C4×C11—21no—
178C23×C4×C11C2311yescharacteristic
179C11×#137—28no—
180C11×#137—24no—
181C11×AGL(1,ℤ/8)—24no—
182C11×AGL(1,ℤ/8)—24no—
183C11×AGL(1,ℤ/8)—28no—
184C11×AGL(1,ℤ/8)—28no—
185C11×AGL(1,ℤ/8)—28no—
186C11×AGL(1,ℤ/8)—24no—
187C11×AGL(1,ℤ/8)D418yescomplemented
188C11×#135—24no—
189C11×#135—28no—
190C11×#135—42no—
191C2×C11×Q16C2312yescomplemented
192C2×C11×Q16C2311yescharacteristic, complemented
193C2×C11×Q16C2311yescharacteristic, complemented
194C2×C11×SD16—24no—
195C2×C11×SD16—28no—
196C2×C11×SD16—28no—
197C2×C11×SD16—42no—
198C2×C11×SD16C2312yes—
199C2×C11×SD16C2312yes—
200C2×C11×SD16C2312yes—
201C2×C11×SD16C2312yes—
202C2×C11×SD16C2312yes—
203C2×C11×SD16C2312yes—
204C2×C11×SD16C2312yes—
205C2×C11×SD16C2312yes—
206C2×C11×SD16C2312yescomplemented
207C2×C11×SD16C2311yescharacteristic, complemented
208C2×C11×SD16C2311yescharacteristic, complemented
209C2×C11×SD16C2311yescharacteristic, complemented
210C2×C11×SD16C2311yescharacteristic, complemented
211C2×C11×D8—28no—
212C2×C11×D8C2312yes—
213C2×C11×D8C2312yes—
214C2×C11×D8C2312yes—
215C2×C11×D8C2312yes—
216C2×C11×D8C2311yescharacteristic, complemented
217C2×C11×D8C2311yescharacteristic, complemented
218C11×#131—24no—
219C2×C11×M16—24no—
220C2×C11×M16C2311yescharacteristic
221C2×C11×M16C2312yes—
222C2×C11×M16C2311yescharacteristic
223C2×C11×M16C2312yescomplemented
224C22×C8×C11C2311yescharacteristic
225C22×C8×C11C2311yescharacteristic
226C22×C8×C11C2312yes—
227C22×C8×C11C2312yescomplemented
228C11×C4⋊Q8—22no—
229C11×C4⋊Q8C2312yescomplemented
230C11×#127—21no—
231C11×#127C2312yes—
232C11×#124—21no—
233C11×#124—22no—
234C11×#124C2312yes—
235C11×#124C2312yescomplemented
236C11×#123—21no—
237C11×#123—22no—
238C11×#123—22no—
239C11×#123—22no—
240C11×#123—22no—
241C11×#123—22no—
242C11×#123—22no—
243C11×#123D412yes—
244C11×C22⋊Q8—21no—
245C11×C22⋊Q8—21no—
246C11×C22⋊Q8—21no—
247C11×C22⋊Q8—21no—
248C11×C22⋊Q8—22no—
249C11×C22⋊Q8—21no—
250C11×C22⋊Q8—22no—
251C11×C22⋊Q8—22no—
252C11×C22⋊Q8D411yescharacteristic
253C11×C22⋊Q8D411yescharacteristic
254C11×C22⋊Q8C2312yes—
255C11×C22⋊Q8C2312yes—
256C11×C22⋊Q8C2311yescharacteristic
257C11×C22⋊Q8C2311yescharacteristic
258C11×C22⋊Q8C2312yescomplemented
259C11×#121—21no—
260C11×#121—22no—
261C11×#121—22no—
262C11×#121—22no—
263C11×#121—22no—
264C11×#121—22no—
265C11×#121—21no—
266C11×#121—21no—
267C11×#121—22no—
268C11×#121—22no—
269C11×#121—22no—
270C11×#121D411yescharacteristic
271C11×#121D411yescharacteristic
272C11×#121C2311yescharacteristic
273C11×#121C2311yescharacteristic
274C11×#121C2312yes—
275C11×#121C2312yes—
276C11×#121C2312yescomplemented
277C11×#120—21no—
278C11×#120—22no—
279C11×#120—22no—
280C11×#120—22no—
281C11×#120—22no—
282C11×#120—22no—
283C11×#120—22no—
284C11×#120—22no—
285C11×#120—22no—
286C11×#120—22no—
287C11×#120D412yes—
288C4×Q8×C11C2312yescomplemented
289C4×D4×C11—22no—
290C4×D4×C11—21no—
291C4×D4×C11—21no—
292C4×D4×C11—21no—
293C4×D4×C11—21no—
294C4×D4×C11—22no—
295C4×D4×C11—22no—
296C4×D4×C11C2312yes—
297C4×D4×C11C2312yes—
298C4×D4×C11C2312yes—
299C4×D4×C11C2312yes—
300C4×D4×C11C2312yescomplemented
301C11×#117—21no—
302C11×#117C2311yescharacteristic
303C11×#117C2311yescharacteristic
304C2×C11×C4⋊C4—21no—
305C2×C11×C4⋊C4—21no—
306C2×C11×C4⋊C4—22no—
307C2×C11×C4⋊C4C2311yescharacteristic
308C2×C11×C22⋊C4—21no—
309C2×C11×C22⋊C4—22no—
310C2×C11×C22⋊C4—22no—
311C2×C11×C22⋊C4—22no—
312C2×C11×C22⋊C4—22no—
313C11×#107C2312yescomplemented
314C11×#106C2312yescomplemented
315C11×C4⋊C8C2312yescomplemented
316C11×C4⋊C8C2312yescomplemented
317C11×#103C2311yescharacteristic, complemented
318C11×#103C2311yescharacteristic, complemented
319C11×#103C2311yescharacteristic, complemented
320C11×#103C2311yescharacteristic, complemented
321C11×#103C2312yescomplemented
322C11×#103C2312yescomplemented
323C11×#103C2312yescomplemented
324C11×#102C2312yes—
325C11×#102C2312yes—
326C11×#102C2312yes—
327C11×#102C2312yes—
328C11×#102C2311yescharacteristic, complemented
329C11×#102C2311yescharacteristic, complemented
330C11×#102C2311yescharacteristic, complemented
331C11×#102C2311yescharacteristic, complemented
332C11×#102C2312yescomplemented
333C11×C22⋊C8C2311yescharacteristic
334C11×C22⋊C8C2311yescharacteristic
335C11×C22⋊C8C2311yescharacteristic
336C11×C22⋊C8C2311yescharacteristic
337C11×C22⋊C8C2312yescomplemented
338C11×C22⋊C8C2312yescomplemented
339C11×#97C2312yescomplemented
340C4×C8×C11C2312yescomplemented
341#61071C1111yesmaximal, characteristic, direct product factor, Sylow
342C24×C11—21no—
343C24×C11—21no—
344C24×C11—22no—
345C24×C11—22no—
346C24×C11—21no—
347C24×C11—22no—
348C24×C11—44no—
349C24×C11—82no—
350C24×C11—82no—
351C24×C11C2×D411yescharacteristic
352C11×#41—22no—
353C11×#41—22no—
354C11×#41—22no—
355C11×#41—22no—
356C11×#41—24no—
357C11×#41—24no—
358C11×#41—22no—
359C11×#41—22no—
360C11×#41—22no—
361C11×#41—22no—
362C11×#41—22no—
363C11×#41—44no—
364C11×#41—41no—
365C11×#41—41no—
366C11×#41—42no—
367C11×#41—42no—
368C11×#41—44no—
369C11×#41—44no—
370C11×#41—48no—
371C11×#41—44no—
372C11×#41C2×D414yescomplemented
373C2×Q8×C11—21no—
374C2×Q8×C11—22no—
375C2×Q8×C11—21no—
376C2×Q8×C11—22no—
377C2×Q8×C11—24no—
378C2×Q8×C11—22no—
379C2×Q8×C11—22no—
380C2×Q8×C11—41no—
381C2×Q8×C11—42no—
382C2×Q8×C11—44no—
383C2×Q8×C11C2×D411yescharacteristic
384C2×Q8×C11C2411yescharacteristic
385C2×Q8×C11C2412yes—
386C2×Q8×C11C2411yescharacteristic
387C2×Q8×C11C2411yescharacteristic
388C2×D4×C11—21no—
389C2×D4×C11—22no—
390C2×D4×C11—24no—
391C2×D4×C11—24no—
392C2×D4×C11—24no—
393C2×D4×C11—21no—
394C2×D4×C11—21no—
395C2×D4×C11—21no—
396C2×D4×C11—22no—
397C2×D4×C11—22no—
398C2×D4×C11—21no—
399C2×D4×C11—21no—
400C2×D4×C11—21no—
401C2×D4×C11—22no—
402C2×D4×C11—22no—
403C2×D4×C11—22no—
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—21no—
411C2×D4×C11—22no—
412C2×D4×C11—22no—
413C2×D4×C11—22no—
414C2×D4×C11—22no—
415C2×D4×C11—42no—
416C2×D4×C11—42no—
417C2×D4×C11—41no—
418C2×D4×C11—42no—
419C2×D4×C11—44no—
420C2×D4×C11—44no—
421C2×D4×C11—44no—
422C2×D4×C11—44no—
423C2×D4×C11—44no—
424C2×D4×C11—48no—
425C2×D4×C11—84no—
426C2×D4×C11—84no—
427C2×D4×C11C2×D412yes—
428C2×D4×C11C2×D412yes—
429C2×D4×C11C2×D411yescharacteristic
430C2×D4×C11C2×D414yes—
431C2×D4×C11C2×D412yes—
432C2×D4×C11C2412yes—
433C2×D4×C11C2411yescharacteristic
434C2×D4×C11C2411yescharacteristic
435C2×D4×C11C2412yes—
436C2×D4×C11C2411yescharacteristic
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—22no—
445C22×C4×C11—22no—
446C22×C4×C11—21no—
447C22×C4×C11—21no—
448C22×C4×C11—21no—
449C22×C4×C11—21no—
450C22×C4×C11—22no—
451C22×C4×C11—22no—
452C22×C4×C11—22no—
453C22×C4×C11—44no—
454C22×C4×C11C2×D411yescharacteristic
455C22×C4×C11C2×D411yescharacteristic
456C22×C4×C11C2×D411yescharacteristic
457C22×C4×C11C2411yescharacteristic
458C22×C4×C11C2411yescharacteristic
459C22×C4×C11C2412yes—
460C22×C4×C11C2411yescharacteristic
461C11×Q16—24no—
462C11×Q16—22no—
463C11×Q16—41no—
464C11×SD16—24no—
465C11×SD16—24no—
466C11×SD16—22no—
467C11×SD16—24no—
468C11×SD16—24no—
469C11×SD16—24no—
470C11×SD16—24no—
471C11×SD16—22no—
472C11×SD16—42no—
473C11×SD16—42no—
474C11×SD16—41no—
475C11×SD16—41no—
476C11×SD16C2×D418yescomplemented
477C11×D8—24no—
478C11×D8—24no—
479C11×D8—24no—
480C11×D8—22no—
481C11×D8—41no—
482C11×D8C2×D418yescomplemented
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—22no—
498C11×C4⋊C4—21no—
499C11×C4⋊C4—22no—
500C11×C4⋊C4—22no—
501C11×C4⋊C4—22no—
502C11×C4⋊C4—22no—
503C11×C4⋊C4—21no—
504C11×C4⋊C4—21no—
505C11×C4⋊C4—22no—
506C11×C4⋊C4C2×D411yescharacteristic
507C11×C4⋊C4C2×D412yes—
508C11×C4⋊C4C2×D411yescharacteristic
509C11×C4⋊C4C2×D412yes—
510C11×C4⋊C4C2412yes—
511C11×C4⋊C4C2411yescharacteristic
512C11×C4⋊C4C2411yescharacteristic
513C11×C22⋊C4—21no—
514C11×C22⋊C4—21no—
515C11×C22⋊C4—21no—
516C11×C22⋊C4—22no—
517C11×C22⋊C4—22no—
518C11×C22⋊C4—22no—
519C11×C22⋊C4—22no—
520C11×C22⋊C4—22no—
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⋊C4—22no—
528C11×C22⋊C4—21no—
529C11×C22⋊C4—21no—
530C11×C22⋊C4—22no—
531C11×C22⋊C4C2×D412yes—
532C11×C22⋊C4C2×D412yes—
533C11×C22⋊C4C2×D412yes—
534C11×C22⋊C4C2×D412yes—
535C11×C22⋊C4C2×D412yes—
536C42×C11—22no—
537C42×C11—21no—
538C42×C11C2412yes—
539C2×#577C2×C1111yescharacteristic, complemented
540C22×AGL(1,ℤ/8)C2×C1111yescharacteristic, complemented
541#3489C2×C1111yescharacteristic, complemented
542#3484C2×C1111yescharacteristic, complemented
543D4×SD16C2×C1112yescomplemented
544#3280C2×C1112yescomplemented
545#3275C2×C1112yescomplemented
546#3272C2×C1112yescomplemented
547#3267C2×C1112yescomplemented
548#3266C2×C1112yescomplemented
549#3265C2×C1112yescomplemented
550#3264C2×C1112yescomplemented
551#3154C2×C1111yescharacteristic, complemented
552#3062C2×C1111yescharacteristic, complemented
553#3056C2×C1111yescharacteristic, complemented
554#3045C2×C1111yescharacteristic, complemented
555#3042C2×C1111yescharacteristic, complemented
556#3012C2×C1111yescharacteristic, complemented
557#3010C2×C1111yescharacteristic, complemented
558#3002C2×C1111yescharacteristic, complemented
559C2×#450C2×C1111yescharacteristic, complemented
560#2946C2×C1111yescharacteristic, complemented
561#2933C2×C1111yescharacteristic, complemented
562C23×C11—22no—
563C23×C11—22no—
564C23×C11—21no—
565C23×C11—22no—
566C23×C11—24no—
567C23×C11—21no—
568C23×C11—22no—
569C23×C11—21no—
570C23×C11—41no—
571C23×C11—42no—
572C23×C11—44no—
573C23×C11—44no—
574C23×C11—44no—
575C23×C11—44no—
576C23×C11—42no—
577C23×C11—44no—
578C23×C11—42no—
579C23×C11—81no—
580C23×C11—81no—
581C23×C11—81no—
582C23×C11—82no—
583C23×C11—81no—
584C23×C11—81no—
585C23×C11—82no—
586C23×C11—82no—
587C23×C11—82no—
588C23×C11—816no—
589C23×C11C22×D411yescharacteristic
590C23×C11C22×D412yes—
591C23×C11C22×D411yescharacteristic
592C23×C11C22×D411yescharacteristic
593Q8×C11—22no—
594Q8×C11—21no—
595Q8×C11—21no—
596Q8×C11—22no—
597Q8×C11—21no—
598Q8×C11—22no—
599Q8×C11—21no—
600Q8×C11—21no—
601Q8×C11—44no—
602Q8×C11—42no—
603Q8×C11—42no—
604Q8×C11C22×D412yes—
605D4×C11—24no—
606D4×C11—24no—
607D4×C11—24no—
608D4×C11—24no—
609D4×C11—22no—
610D4×C11—21no—
611D4×C11—22no—
612D4×C11—21no—
613D4×C11—22no—
614D4×C11—21no—
615D4×C11—21no—
616D4×C11—21no—
617D4×C11—22no—
618D4×C11—42no—
619D4×C11—44no—
620D4×C11—44no—
621D4×C11—44no—
622D4×C11—42no—
623D4×C11—42no—
624D4×C11—44no—
625D4×C11—42no—
626D4×C11—44no—
627D4×C11—42no—
628D4×C11—42no—
629D4×C11—42no—
630D4×C11—42no—
631D4×C11—42no—
632D4×C11—82no—
633D4×C11—82no—
634D4×C11—82no—
635D4×C11—82no—
636D4×C11—82no—
637D4×C11C22×D412yes—
638D4×C11C22×D414yes—
639C2×C4×C11—22no—
640C2×C4×C11—21no—
641C2×C4×C11—22no—
642C2×C4×C11—22no—
643C2×C4×C11—24no—
644C2×C4×C11—21no—
645C2×C4×C11—22no—
646C2×C4×C11—21no—
647C2×C4×C11—21no—
648C2×C4×C11—21no—
649C2×C4×C11—22no—
650C2×C4×C11—21no—
651C2×C4×C11—21no—
652C2×C4×C11—22no—
653C2×C4×C11—21no—
654C2×C4×C11—22no—
655C2×C4×C11—21no—
656C2×C4×C11—42no—
657C2×C4×C11—42no—
658C2×C4×C11—42no—
659C2×C4×C11—44no—
660C2×C4×C11—44no—
661C2×C4×C11—44no—
662C2×C4×C11—42no—
663C2×C4×C11—42no—
664C2×C4×C11—42no—
665C2×C4×C11—82no—
666C2×C4×C11—82no—
667C2×C4×C11—82no—
668C2×C4×C11—81no—
669C2×C4×C11C22×D412yes—
670C2×C4×C11C22×D412yes—
671C2×C4×C11C22×D412yes—
672C2×C4×C11C22×D411yescharacteristic
673C2×C4×C11C22×D411yescharacteristic
674C2×C4×C11C22×D411yescharacteristic
675C2×C4×C11C22×D412yes—
676C2×C4×C11H(5,𝔽2)12yes—
677C2×C4×C11C2511yescharacteristic
678C8×C11—21no—
679C8×C11—22no—
680C8×C11—21no—
681C8×C11—21no—
682C8×C11—21no—
683C8×C11C22×D414yes—
684C2×2−1+4C22×C1111yescharacteristic, complemented
685C2×H(5,𝔽2)C22×C1111yescharacteristic, complemented
686C22×#41C22×C1111yescharacteristic, complemented
687C23×D4C22×C1111yescharacteristic
688#577—28no—
689C2×#137C22×C1111yescharacteristic, complemented
690C2×#137C22×C1112yescomplemented
691C2×AGL(1,ℤ/8)—28no—
692C2×AGL(1,ℤ/8)C22×C1111yescharacteristic
693C2×AGL(1,ℤ/8)C22×C1111yescharacteristic
694C2×AGL(1,ℤ/8)C22×C1111yescharacteristic, complemented
695C2×AGL(1,ℤ/8)C22×C1112yescomplemented
696C2×AGL(1,ℤ/8)C22×C1111yescharacteristic, complemented
697C2×AGL(1,ℤ/8)C22×C1112yescomplemented
698C2×AGL(1,ℤ/8)C22×C1112yescomplemented
699C2×#135C22×C1111yescharacteristic, complemented
700C2×#135C22×C1111yescharacteristic, complemented
701C2×#135C22×C1112yescomplemented
702C22×SD16C22×C1111yescharacteristic, complemented
703C22×SD16C22×C1112yescomplemented
704C22×SD16C22×C1111yescharacteristic, complemented
705C22×SD16C22×C1112yescomplemented
706C22×D8C22×C1112yescomplemented
707C2×#131C22×C1111yescharacteristic, complemented
708C22×M16C22×C1111yescharacteristic, complemented
709D4×Q8C22×C1112yescomplemented
710#548C22×C1112yescomplemented
711#547—22no—
712#547C22×C1112yescomplemented
713#546—21no—
714#546—21no—
715#546—22no—
716#546C22×C1112yes—
717#546C22×C1112yescomplemented
718#546C22×C1112yescomplemented
719D42—21no—
720D42—21no—
721D42C22×C1112yes—
722D42C22×C1112yescomplemented
723#537—21no—
724#537C22×C1111yescharacteristic, complemented
725#536—21no—
726#536C22×C1111yescharacteristic, complemented
727#535C22×C1111yescharacteristic, complemented
728#535C22×C1111yescharacteristic, complemented
729#534—22no—
730#525—21no—
731#525C22×C1111yescharacteristic
732#525C22×C1111yescharacteristic
733C2×C22⋊Q8—21no—
734C2×C22⋊Q8C22×C1111yescharacteristic, complemented
735C2×#120—22no—
736#520C22×C1111yescharacteristic, complemented
737#518C22×C1111yescharacteristic, complemented
738#497C22×C1112yescomplemented
739#496C22×C1112yescomplemented
740#495C22×C1112yescomplemented
741#492C22×C1112yescomplemented
742#470C22×C1112yescomplemented
743#469C22×C1112yescomplemented
744#468C22×C1112yescomplemented
745#468C22×C1112yescomplemented
746#467C22×C1112yescomplemented
747#466C22×C1112yescomplemented
748#465C22×C1112yescomplemented
749#465C22×C1112yescomplemented
750#464C22×C1112yescomplemented
751#463C22×C1112yescomplemented
752#463C22×C1112yescomplemented
753#463C22×C1112yescomplemented
754#461C22×C1112yescomplemented
755#461C22×C1112yescomplemented
756#460C22×C1112yescomplemented
757#459C22×C1112yescomplemented
758#452C22×C1111yescharacteristic, complemented
759#452C22×C1111yescharacteristic, complemented
760#452C22×C1112yescomplemented
761#451C22×C1111yescharacteristic, complemented
762#450C22×C1112yescomplemented
763#450C22×C1112yescomplemented
764#450C22×C1112yescomplemented
765#450C22×C1112yescomplemented
766#450C22×C1111yescharacteristic, complemented
767#450C22×C1112yescomplemented
768#449C22×C1111yescharacteristic, complemented
769#449C22×C1111yescharacteristic, complemented
770#449C22×C1112yescomplemented
771#449C22×C1112yescomplemented
772#449C22×C1112yescomplemented
773#448C22×C1111yescharacteristic, complemented
774#448C22×C1112yescomplemented
775#448C22×C1112yescomplemented
776#447C22×C1111yescharacteristic, complemented
777#447C22×C1112yescomplemented
778#442C22×C1112yescomplemented
779#440C22×C1112yescomplemented
780C4×SD16C22×C1112yescomplemented
781C4×D8C22×C1112yescomplemented
782#436C22×C1112yescomplemented
783#435C22×C1112yescomplemented
784#435C22×C1112yescomplemented
785C8×D4C22×C1112yescomplemented
786#428C22×C1111yescharacteristic, complemented
787#424C22×C1111yescharacteristic, complemented
788#419C22×C1111yescharacteristic, complemented
789#417C22×C1111yescharacteristic, complemented
790#416C22×C1111yescharacteristic, complemented
791#416C22×C1111yescharacteristic, complemented
792C2×#102C22×C1111yescharacteristic, complemented
793C2×#102C22×C1111yescharacteristic, complemented
794#408C22×C1111yescharacteristic, complemented
795C2×C22⋊C8C22×C1111yescharacteristic, complemented
796#405C22×C1111yescharacteristic, complemented
797C22×C11—21no—
798C22×C11—21no—
799C22×C11—21no—
800C22×C11—21no—
801C22×C11—21no—
802C22×C11—22no—
803C22×C11—21no—
804C22×C11—22no—
805C22×C11—22no—
806C22×C11—24no—
807C22×C11—22no—
808C22×C11—21no—
809C22×C11—44no—
810C22×C11—41no—
811C22×C11—42no—
812C22×C11—42no—
813C22×C11—41no—
814C22×C11—41no—
815C22×C11—42no—
816C22×C11—41no—
817C22×C11—41no—
818C22×C11—41no—
819C22×C11—42no—
820C22×C11—41no—
821C22×C11—42no—
822C22×C11—41no—
823C22×C11—84no—
824C22×C11—84no—
825C22×C11—88no—
826C22×C11—84no—
827C22×C11—88no—
828C22×C11—164no—
829C22×C11D4212yes—
830C22×C11#57712yescomplemented
831C22×C11C23×D411yescharacteristic
832C4×C11—22no—
833C4×C11—21no—
834C4×C11—21no—
835C4×C11—22no—
836C4×C11—22no—
837C4×C11—22no—
838C4×C11—41no—
839C4×C11—42no—
840C4×C11—41no—
841C4×C11—41no—
842C4×C11—42no—
843C4×C11—41no—
844C4×C11D4212yes—
845C4×C11C23×D411yescharacteristic
846C4×C11C2×H(5,𝔽2)11yescharacteristic
847C25—21no—
8482−1+4—24no—
8492−1+4—42no—
850H(5,𝔽2)—24no—
851H(5,𝔽2)—42no—
852C2×#41—21no—
853C2×#41—21no—
854C2×#41—22no—
855C2×#41—21no—
856C2×#41—21no—
857C2×#41—24no—
858C2×#41—42no—
859C2×#41C23×C1111yescharacteristic
860C2×#41C23×C1111yescharacteristic
861C2×#41C23×C1112yes—
862C2×#41C23×C1111yescharacteristic
863C2×#41C23×C1111yescharacteristic
864C2×#41C23×C1111yescharacteristic
865C2×#41C23×C1111yescharacteristic
866C2×#41C23×C1112yescomplemented
867C22×Q8—21no—
868C22×Q8C23×C1111yescharacteristic
869C22×Q8C23×C1111yescharacteristic
870C22×Q8C23×C1112yescomplemented
871C22×D4—24no—
872C22×D4—21no—
873C22×D4—22no—
874C22×D4—21no—
875C22×D4—22no—
876C22×D4—22no—
877C22×D4—21no—
878C22×D4—21no—
879C22×D4—21no—
880C22×D4—42no—
881C22×D4C23×C1111yescharacteristic
882C22×D4C23×C1112yes—
883C22×D4C23×C1112yes—
884C22×D4C23×C1112yes—
885C22×D4C23×C1111yescharacteristic
886C22×D4C23×C1111yescharacteristic
887C23×C4—21no—
888C23×C4C23×C1111yescharacteristic
889#137—28no—
890#137—24no—
891AGL(1,ℤ/8)—24no—
892AGL(1,ℤ/8)—24no—
893AGL(1,ℤ/8)—28no—
894AGL(1,ℤ/8)—28no—
895AGL(1,ℤ/8)—28no—
896AGL(1,ℤ/8)—24no—
897AGL(1,ℤ/8)D4×C1118yescomplemented
898#135—24no—
899#135—28no—
900#135—42no—
901C2×Q16C23×C1111yescharacteristic, complemented
902C2×Q16C23×C1112yescomplemented
903C2×Q16C23×C1111yescharacteristic, complemented
904C2×SD16—24no—
905C2×SD16—28no—
906C2×SD16—28no—
907C2×SD16—42no—
908C2×SD16C23×C1112yes—
909C2×SD16C23×C1112yes—
910C2×SD16C23×C1112yes—
911C2×SD16C23×C1112yes—
912C2×SD16C23×C1112yes—
913C2×SD16C23×C1112yes—
914C2×SD16C23×C1112yes—
915C2×SD16C23×C1112yes—
916C2×SD16C23×C1111yescharacteristic, complemented
917C2×SD16C23×C1112yescomplemented
918C2×SD16C23×C1111yescharacteristic, complemented
919C2×SD16C23×C1111yescharacteristic, complemented
920C2×SD16C23×C1111yescharacteristic, complemented
921C2×D8—28no—
922C2×D8C23×C1112yes—
923C2×D8C23×C1112yes—
924C2×D8C23×C1112yes—
925C2×D8C23×C1112yes—
926C2×D8C23×C1111yescharacteristic, complemented
927C2×D8C23×C1111yescharacteristic, complemented
928#131—24no—
929C2×M16—24no—
930C2×M16C23×C1111yescharacteristic
931C2×M16C23×C1112yes—
932C2×M16C23×C1111yescharacteristic
933C2×M16C23×C1112yescomplemented
934C22×C8C23×C1112yes—
935C22×C8C23×C1111yescharacteristic
936C22×C8C23×C1111yescharacteristic
937C22×C8C23×C1112yescomplemented
938C4⋊Q8—22no—
939C4⋊Q8C23×C1112yescomplemented
940#127—21no—
941#127C23×C1112yes—
942#124—21no—
943#124—22no—
944#124C23×C1112yes—
945#124C23×C1112yescomplemented
946#123—21no—
947#123—22no—
948#123—22no—
949#123—22no—
950#123—22no—
951#123—22no—
952#123—22no—
953#123D4×C1112yes—
954C22⋊Q8—21no—
955C22⋊Q8—21no—
956C22⋊Q8—21no—
957C22⋊Q8—21no—
958C22⋊Q8—22no—
959C22⋊Q8—21no—
960C22⋊Q8—22no—
961C22⋊Q8—22no—
962C22⋊Q8D4×C1111yescharacteristic
963C22⋊Q8D4×C1111yescharacteristic
964C22⋊Q8C23×C1112yes—
965C22⋊Q8C23×C1112yes—
966C22⋊Q8C23×C1111yescharacteristic
967C22⋊Q8C23×C1111yescharacteristic
968C22⋊Q8C23×C1112yescomplemented
969#121—21no—
970#121—22no—
971#121—22no—
972#121—22no—
973#121—22no—
974#121—22no—
975#121—21no—
976#121—21no—
977#121—22no—
978#121—22no—
979#121—22no—
980#121D4×C1111yescharacteristic
981#121D4×C1111yescharacteristic
982#121C23×C1111yescharacteristic
983#121C23×C1111yescharacteristic
984#121C23×C1112yes—
985#121C23×C1112yes—
986#121C23×C1112yescomplemented
987#120—21no—
988#120—22no—
989#120—22no—
990#120—22no—
991#120—22no—
992#120—22no—
993#120—22no—
994#120—22no—
995#120—22no—
996#120—22no—
997#120D4×C1112yes—
998C4×Q8C23×C1112yescomplemented
999C4×D4—22no—
1000C4×D4—21no—
1001C4×D4—21no—
1002C4×D4—21no—
1003C4×D4—21no—
1004C4×D4—22no—
1005C4×D4—22no—
1006C4×D4C23×C1112yes—
1007C4×D4C23×C1112yes—
1008C4×D4C23×C1112yes—
1009C4×D4C23×C1112yes—
1010C4×D4C23×C1112yescomplemented
1011#117—21no—
1012#117C23×C1111yescharacteristic
1013#117C23×C1111yescharacteristic
1014C2×C4⋊C4—21no—
1015C2×C4⋊C4—21no—
1016C2×C4⋊C4—22no—
1017C2×C4⋊C4C23×C1111yescharacteristic
1018C2×C22⋊C4—21no—
1019C2×C22⋊C4—22no—
1020C2×C22⋊C4—22no—
1021C2×C22⋊C4—22no—
1022C2×C22⋊C4—22no—
1023#107C23×C1112yescomplemented
1024#106C23×C1112yescomplemented
1025C4⋊C8C23×C1112yescomplemented
1026C4⋊C8C23×C1112yescomplemented
1027#103C23×C1111yescharacteristic, complemented
1028#103C23×C1111yescharacteristic, complemented
1029#103C23×C1111yescharacteristic, complemented
1030#103C23×C1111yescharacteristic, complemented
1031#103C23×C1112yescomplemented
1032#103C23×C1112yescomplemented
1033#103C23×C1112yescomplemented
1034#102C23×C1112yes—
1035#102C23×C1112yes—
1036#102C23×C1112yes—
1037#102C23×C1112yes—
1038#102C23×C1111yescharacteristic, complemented
1039#102C23×C1111yescharacteristic, complemented
1040#102C23×C1111yescharacteristic, complemented
1041#102C23×C1111yescharacteristic, complemented
1042#102C23×C1112yescomplemented
1043C22⋊C8C23×C1111yescharacteristic
1044C22⋊C8C23×C1111yescharacteristic
1045C22⋊C8C23×C1111yescharacteristic
1046C22⋊C8C23×C1111yescharacteristic
1047C22⋊C8C23×C1112yescomplemented
1048C22⋊C8C23×C1112yescomplemented
1049#97C23×C1112yescomplemented
1050C4×C8C23×C1112yescomplemented
1051C2×C11—22no—
1052C2×C11—22no—
1053C2×C11—41no—
1054C2×C11—42no—
1055C2×C11—42no—
1056C2×C11—44no—
1057C2×C11—81no—
1058C2×C11—82no—
1059C2×C11—81no—
1060C2×C11C2×D4211yescharacteristic
1061C2×C11C2×#57711yescharacteristic
1062C2×C11#358511yescharacteristic
1063C24—21no—
1064C24—21no—
1065C24—22no—
1066C24—22no—
1067C24—21no—
1068C24—22no—
1069C24—44no—
1070C24—82no—
1071C24—82no—
1072C24C2×D4×C1111yescharacteristic
1073#41—22no—
1074#41—22no—
1075#41—22no—
1076#41—22no—
1077#41—24no—
1078#41—24no—
1079#41—22no—
1080#41—22no—
1081#41—22no—
1082#41—22no—
1083#41—22no—
1084#41—44no—
1085#41—41no—
1086#41—41no—
1087#41—42no—
1088#41—42no—
1089#41—44no—
1090#41—44no—
1091#41—48no—
1092#41—44no—
1093#41C2×D4×C1114yescomplemented
1094C2×Q8—21no—
1095C2×Q8—22no—
1096C2×Q8—21no—
1097C2×Q8—22no—
1098C2×Q8—24no—
1099C2×Q8—22no—
1100C2×Q8—22no—
1101C2×Q8—41no—
1102C2×Q8—42no—
1103C2×Q8—44no—
1104C2×Q8C2×D4×C1111yescharacteristic
1105C2×Q8C24×C1111yescharacteristic
1106C2×Q8C24×C1112yes—
1107C2×Q8C24×C1111yescharacteristic
1108C2×Q8C24×C1111yescharacteristic
1109C2×D4—21no—
1110C2×D4—22no—
1111C2×D4—24no—
1112C2×D4—24no—
1113C2×D4—24no—
1114C2×D4—21no—
1115C2×D4—21no—
1116C2×D4—21no—
1117C2×D4—22no—
1118C2×D4—22no—
1119C2×D4—21no—
1120C2×D4—21no—
1121C2×D4—21no—
1122C2×D4—22no—
1123C2×D4—22no—
1124C2×D4—22no—
1125C2×D4—21no—
1126C2×D4—22no—
1127C2×D4—22no—
1128C2×D4—22no—
1129C2×D4—22no—
1130C2×D4—21no—
1131C2×D4—21no—
1132C2×D4—22no—
1133C2×D4—22no—
1134C2×D4—22no—
1135C2×D4—22no—
1136C2×D4—42no—
1137C2×D4—42no—
1138C2×D4—41no—
1139C2×D4—42no—
1140C2×D4—44no—
1141C2×D4—44no—
1142C2×D4—44no—
1143C2×D4—44no—
1144C2×D4—44no—
1145C2×D4—48no—
1146C2×D4—84no—
1147C2×D4—84no—
1148C2×D4C2×D4×C1112yes—
1149C2×D4C2×D4×C1112yes—
1150C2×D4C2×D4×C1111yescharacteristic
1151C2×D4C2×D4×C1114yes—
1152C2×D4C2×D4×C1112yes—
1153C2×D4C24×C1112yes—
1154C2×D4C24×C1111yescharacteristic
1155C2×D4C24×C1111yescharacteristic
1156C2×D4C24×C1112yes—
1157C2×D4C24×C1111yescharacteristic
1158C22×C4—21no—
1159C22×C4—22no—
1160C22×C4—22no—
1161C22×C4—21no—
1162C22×C4—22no—
1163C22×C4—21no—
1164C22×C4—21no—
1165C22×C4—22no—
1166C22×C4—22no—
1167C22×C4—21no—
1168C22×C4—21no—
1169C22×C4—21no—
1170C22×C4—21no—
1171C22×C4—22no—
1172C22×C4—22no—
1173C22×C4—22no—
1174C22×C4—44no—
1175C22×C4C2×D4×C1111yescharacteristic
1176C22×C4C2×D4×C1111yescharacteristic
1177C22×C4C2×D4×C1111yescharacteristic
1178C22×C4C24×C1111yescharacteristic
1179C22×C4C24×C1111yescharacteristic
1180C22×C4C24×C1112yes—
1181C22×C4C24×C1111yescharacteristic
1182Q16—22no—
1183Q16—24no—
1184Q16—41no—
1185SD16—22no—
1186SD16—24no—
1187SD16—24no—
1188SD16—24no—
1189SD16—24no—
1190SD16—22no—
1191SD16—24no—
1192SD16—24no—
1193SD16—42no—
1194SD16—42no—
1195SD16—41no—
1196SD16—41no—
1197SD16C2×D4×C1118yescomplemented
1198D8—24no—
1199D8—24no—
1200D8—22no—
1201D8—24no—
1202D8—41no—
1203D8C2×D4×C1118yescomplemented
1204M16—22no—
1205M16—24no—
1206M16—24no—
1207M16C2×D4×C1114yescomplemented
1208C2×C8—22no—
1209C2×C8—22no—
1210C2×C8—24no—
1211C2×C8—24no—
1212C2×C8C24×C1111yescharacteristic
1213C2×C8C24×C1111yescharacteristic
1214C2×C8C24×C1111yescharacteristic
1215C2×C8C24×C1111yescharacteristic
1216C2×C8C24×C1112yes—
1217C2×C8C24×C1112yes—
1218C4⋊C4—22no—
1219C4⋊C4—21no—
1220C4⋊C4—22no—
1221C4⋊C4—22no—
1222C4⋊C4—22no—
1223C4⋊C4—22no—
1224C4⋊C4—21no—
1225C4⋊C4—21no—
1226C4⋊C4—22no—
1227C4⋊C4C2×D4×C1111yescharacteristic
1228C4⋊C4C2×D4×C1112yes—
1229C4⋊C4C2×D4×C1111yescharacteristic
1230C4⋊C4C2×D4×C1112yes—
1231C4⋊C4C24×C1112yes—
1232C4⋊C4C24×C1111yescharacteristic
1233C4⋊C4C24×C1111yescharacteristic
1234C22⋊C4—21no—
1235C22⋊C4—21no—
1236C22⋊C4—21no—
1237C22⋊C4—22no—
1238C22⋊C4—22no—
1239C22⋊C4—22no—
1240C22⋊C4—22no—
1241C22⋊C4—22no—
1242C22⋊C4—22no—
1243C22⋊C4—22no—
1244C22⋊C4—22no—
1245C22⋊C4—22no—
1246C22⋊C4—22no—
1247C22⋊C4—22no—
1248C22⋊C4—22no—
1249C22⋊C4—21no—
1250C22⋊C4—21no—
1251C22⋊C4—22no—
1252C22⋊C4C2×D4×C1112yes—
1253C22⋊C4C2×D4×C1112yes—
1254C22⋊C4C2×D4×C1112yes—
1255C22⋊C4C2×D4×C1112yes—
1256C22⋊C4C2×D4×C1112yes—
1257C42—22no—
1258C42—21no—
1259C42C24×C1112yes—
1260C11#6107111yescharacteristic, direct product factor, Sylow
1261C23—22no—
1262C23—22no—
1263C23—21no—
1264C23—22no—
1265C23—24no—
1266C23—21no—
1267C23—22no—
1268C23—21no—
1269C23—41no—
1270C23—42no—
1271C23—44no—
1272C23—44no—
1273C23—44no—
1274C23—44no—
1275C23—42no—
1276C23—44no—
1277C23—42no—
1278C23—81no—
1279C23—81no—
1280C23—81no—
1281C23—81no—
1282C23—81no—
1283C23—82no—
1284C23—82no—
1285C23—82no—
1286C23—82no—
1287C23—816no—
1288C23C22×D4×C1111yescharacteristic
1289C23C22×D4×C1112yes—
1290C23C22×D4×C1111yescharacteristic
1291C23C22×D4×C1111yescharacteristic
1292Q8—22no—
1293Q8—21no—
1294Q8—21no—
1295Q8—22no—
1296Q8—21no—
1297Q8—22no—
1298Q8—21no—
1299Q8—21no—
1300Q8—44no—
1301Q8—42no—
1302Q8—42no—
1303Q8C22×D4×C1112yes—
1304D4—24no—
1305D4—24no—
1306D4—24no—
1307D4—24no—
1308D4—22no—
1309D4—21no—
1310D4—22no—
1311D4—21no—
1312D4—22no—
1313D4—21no—
1314D4—21no—
1315D4—21no—
1316D4—22no—
1317D4—42no—
1318D4—44no—
1319D4—44no—
1320D4—44no—
1321D4—42no—
1322D4—42no—
1323D4—44no—
1324D4—42no—
1325D4—44no—
1326D4—42no—
1327D4—42no—
1328D4—42no—
1329D4—42no—
1330D4—42no—
1331D4—82no—
1332D4—82no—
1333D4—82no—
1334D4—82no—
1335D4—82no—
1336D4C22×D4×C1112yes—
1337D4C22×D4×C1114yes—
1338C2×C4—22no—
1339C2×C4—21no—
1340C2×C4—22no—
1341C2×C4—22no—
1342C2×C4—24no—
1343C2×C4—21no—
1344C2×C4—22no—
1345C2×C4—21no—
1346C2×C4—21no—
1347C2×C4—21no—
1348C2×C4—22no—
1349C2×C4—21no—
1350C2×C4—21no—
1351C2×C4—22no—
1352C2×C4—21no—
1353C2×C4—22no—
1354C2×C4—21no—
1355C2×C4—42no—
1356C2×C4—42no—
1357C2×C4—42no—
1358C2×C4—44no—
1359C2×C4—44no—
1360C2×C4—44no—
1361C2×C4—42no—
1362C2×C4—42no—
1363C2×C4—42no—
1364C2×C4—82no—
1365C2×C4—82no—
1366C2×C4—82no—
1367C2×C4—81no—
1368C2×C4C22×D4×C1112yes—
1369C2×C4C22×D4×C1112yes—
1370C2×C4C22×D4×C1112yes—
1371C2×C4C22×D4×C1111yescharacteristic
1372C2×C4C22×D4×C1111yescharacteristic
1373C2×C4C22×D4×C1111yescharacteristic
1374C2×C4C22×D4×C1112yes—
1375C2×C4C11×H(5,𝔽2)12yes—
1376C2×C4C25×C1111yescharacteristic
1377C8—21no—
1378C8—22no—
1379C8—21no—
1380C8—21no—
1381C8—21no—
1382C8C22×D4×C1114yes—
1383C22—21no—
1384C22—21no—
1385C22—21no—
1386C22—21no—
1387C22—21no—
1388C22—22no—
1389C22—22no—
1390C22—24no—
1391C22—22no—
1392C22—21no—
1393C22—21no—
1394C22—22no—
1395C22—44no—
1396C22—42no—
1397C22—41no—
1398C22—41no—
1399C22—42no—
1400C22—41no—
1401C22—41no—
1402C22—42no—
1403C22—41no—
1404C22—42no—
1405C22—41no—
1406C22—41no—
1407C22—42no—
1408C22—41no—
1409C22—84no—
1410C22—88no—
1411C22—84no—
1412C22—84no—
1413C22—88no—
1414C22—164no—
1415C22D42×C1112yes—
1416C22C11×#57712yescomplemented
1417C22C23×D4×C1111yescharacteristic
1418C4—21no—
1419C4—21no—
1420C4—22no—
1421C4—22no—
1422C4—22no—
1423C4—22no—
1424C4—41no—
1425C4—41no—
1426C4—42no—
1427C4—41no—
1428C4—41no—
1429C4—42no—
1430C4D42×C1112yes—
1431C4C23×D4×C1111yescharacteristic
1432C4C2×C11×H(5,𝔽2)11yescharacteristic
1433C2—22no—
1434C2—22no—
1435C2—41no—
1436C2—42no—
1437C2—44no—
1438C2—42no—
1439C2—82no—
1440C2—81no—
1441C2—81no—
1442C2C2×D42×C1111yescharacteristic
1443C2C2×C11×#57711yescharacteristic
1444C2C11×#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. C22×C11×AGL(1,ℤ/8)C2semidirect
3. C11×#3489C2semidirect
4. C11×#3484C2semidirect
5. D4×C11×SD16C2semidirect
6. C11×#3280C2semidirect
7. C11×#3275C2semidirect
8. C11×#3272C2semidirect
9. C11×#3267C2semidirect
10. C11×#3266C2semidirect
11. C11×#3265C2semidirect
12. C11×#3264C2semidirect
13. C11×#3154C2semidirect
14. C11×#3062C2semidirect
15. C11×#3056C2semidirect
16. C11×#3045C2semidirect
17. C11×#3042C2semidirect
18. C11×#3012C2semidirect
19. C11×#3010C2semidirect
20. C11×#3002C2semidirect
21. C2×C11×#450C2semidirect
22. C11×#2946C2semidirect
23. C11×#2933C2semidirect
24. C2×C11×2−1+4C22semidirect
25. C2×C11×H(5,𝔽2)C22semidirect
26. C22×C11×#41C22semidirect
29. C2×C11×#137C22semidirect
30. C2×C11×#137C22semidirect
34. C2×C11×AGL(1,ℤ/8)C22semidirect
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
39. C2×C11×#135C22semidirect
40. C2×C11×#135C22semidirect
41. C2×C11×#135C22semidirect
42. C22×C11×SD16C22semidirect
43. C22×C11×SD16C22semidirect
44. C22×C11×SD16C22semidirect
45. C22×C11×SD16C22semidirect
46. C22×C11×D8C22semidirect
47. C2×C11×#131C22semidirect
48. C22×C11×M16C22semidirect
49. D4×Q8×C11C22semidirect
50. C11×#548C22semidirect
52. C11×#547C22semidirect
57. C11×#546C22semidirect
58. C11×#546C22semidirect
62. D42×C11C22semidirect
64. C11×#537C22semidirect
66. C11×#536C22semidirect
67. C11×#535C22semidirect
68. C11×#535C22semidirect
74. C2×C11×C22⋊Q8C22semidirect
76. C11×#520C22semidirect
77. C11×#518C22semidirect
78. C11×#497C22semidirect
79. C11×#496C22semidirect
80. C11×#495C22semidirect
81. C11×#492C22semidirect
82. C11×#470C22semidirect
83. C11×#469C22semidirect
84. C11×#468C22semidirect
85. C11×#468C22semidirect
86. C11×#467C22semidirect
87. C11×#466C22semidirect
88. C11×#465C22semidirect
89. C11×#465C22semidirect
90. C11×#464C22semidirect
91. C11×#463C22semidirect
92. C11×#463C22semidirect
93. C11×#463C22semidirect
94. C11×#461C22semidirect
95. C11×#461C22semidirect
96. C11×#460C22semidirect
97. C11×#459C22semidirect
98. C11×#452C22semidirect
99. C11×#452C22semidirect
100. C11×#452C22semidirect
101. C11×#451C22semidirect
102. C11×#450C22semidirect
103. C11×#450C22semidirect
104. C11×#450C22semidirect
105. C11×#450C22semidirect
106. C11×#450C22semidirect
107. C11×#450C22semidirect
108. C11×#449C22semidirect
109. C11×#449C22semidirect
110. C11×#449C22semidirect
111. C11×#449C22semidirect
112. C11×#449C22semidirect
113. C11×#448C22semidirect
114. C11×#448C22semidirect
115. C11×#448C22semidirect
116. C11×#447C22semidirect
117. C11×#447C22semidirect
118. C11×#442C22semidirect
119. C11×#440C22semidirect
120. C4×C11×SD16C22semidirect
121. C4×C11×D8C22semidirect
122. C11×#436C22semidirect
123. C11×#435C22semidirect
124. C11×#435C22semidirect
125. C8×D4×C11C22semidirect
126. C11×#428C22semidirect
127. C11×#424C22semidirect
128. C11×#419C22semidirect
129. C11×#417C22semidirect
130. C11×#416C22semidirect
131. C11×#416C22semidirect
132. C2×C11×#102C22semidirect
133. C2×C11×#102C22semidirect
134. C11×#408C22semidirect
135. C2×C11×C22⋊C8C22semidirect
136. C11×#405C22semidirect
156. C2×C11×#41C23semidirect
160. C22×Q8×C11C23semidirect
187. C11×AGL(1,ℤ/8)D4semidirect
191. C2×C11×Q16C23semidirect
192. C2×C11×Q16C23semidirect
193. C2×C11×Q16C23semidirect
206. C2×C11×SD16C23semidirect
207. C2×C11×SD16C23semidirect
208. C2×C11×SD16C23semidirect
209. C2×C11×SD16C23semidirect
210. C2×C11×SD16C23semidirect
216. C2×C11×D8C23semidirect
217. C2×C11×D8C23semidirect
223. C2×C11×M16C23semidirect
227. C22×C8×C11C23semidirect
229. C11×C4⋊Q8C23semidirect
235. C11×#124C23semidirect
258. C11×C22⋊Q8C23semidirect
276. C11×#121C23semidirect
288. C4×Q8×C11C23semidirect
300. C4×D4×C11C23semidirect
313. C11×#107C23semidirect
314. C11×#106C23semidirect
315. C11×C4⋊C8C23semidirect
316. C11×C4⋊C8C23semidirect
317. C11×#103C23semidirect
318. C11×#103C23semidirect
319. C11×#103C23semidirect
320. C11×#103C23semidirect
321. C11×#103C23semidirect
322. C11×#103C23semidirect
323. C11×#103C23semidirect
328. C11×#102C23semidirect
329. C11×#102C23semidirect
330. C11×#102C23semidirect
331. C11×#102C23semidirect
332. C11×#102C23semidirect
337. C11×C22⋊C8C23semidirect
338. C11×C22⋊C8C23semidirect
339. C11×#97C23semidirect
340. C4×C8×C11C23semidirect
341. #61071C11direct (N × H)
372. C11×#41C2×D4semidirect
476. C11×SD16C2×D4semidirect
482. C11×D8C2×D4semidirect
486. C11×M16C2×D4semidirect
539. C2×#577C2×C11semidirect
540. C22×AGL(1,ℤ/8)C2×C11semidirect
541. #3489C2×C11semidirect
542. #3484C2×C11semidirect
543. D4×SD16C2×C11semidirect
544. #3280C2×C11semidirect
545. #3275C2×C11semidirect
546. #3272C2×C11semidirect
547. #3267C2×C11semidirect
548. #3266C2×C11semidirect
549. #3265C2×C11semidirect
550. #3264C2×C11semidirect
551. #3154C2×C11semidirect
552. #3062C2×C11semidirect
553. #3056C2×C11semidirect
554. #3045C2×C11semidirect
555. #3042C2×C11semidirect
556. #3012C2×C11semidirect
557. #3010C2×C11semidirect
558. #3002C2×C11semidirect
559. C2×#450C2×C11semidirect
560. #2946C2×C11semidirect
561. #2933C2×C11semidirect
684. C2×2−1+4C22×C11semidirect
685. C2×H(5,𝔽2)C22×C11semidirect
686. C22×#41C22×C11semidirect
689. C2×#137C22×C11semidirect
690. C2×#137C22×C11semidirect
694. C2×AGL(1,ℤ/8)C22×C11semidirect
695. C2×AGL(1,ℤ/8)C22×C11semidirect
696. C2×AGL(1,ℤ/8)C22×C11semidirect
697. C2×AGL(1,ℤ/8)C22×C11semidirect
698. C2×AGL(1,ℤ/8)C22×C11semidirect
699. C2×#135C22×C11semidirect
700. C2×#135C22×C11semidirect
701. C2×#135C22×C11semidirect
702. C22×SD16C22×C11semidirect
703. C22×SD16C22×C11semidirect
704. C22×SD16C22×C11semidirect
705. C22×SD16C22×C11semidirect
706. C22×D8C22×C11semidirect
707. C2×#131C22×C11semidirect
708. C22×M16C22×C11semidirect
709. D4×Q8C22×C11semidirect
710. #548C22×C11semidirect
712. #547C22×C11semidirect
717. #546C22×C11semidirect
718. #546C22×C11semidirect
722. D42C22×C11semidirect
724. #537C22×C11semidirect
726. #536C22×C11semidirect
727. #535C22×C11semidirect
728. #535C22×C11semidirect
734. C2×C22⋊Q8C22×C11semidirect
736. #520C22×C11semidirect
737. #518C22×C11semidirect
738. #497C22×C11semidirect
739. #496C22×C11semidirect
740. #495C22×C11semidirect
741. #492C22×C11semidirect
742. #470C22×C11semidirect
743. #469C22×C11semidirect
744. #468C22×C11semidirect
745. #468C22×C11semidirect
746. #467C22×C11semidirect
747. #466C22×C11semidirect
748. #465C22×C11semidirect
749. #465C22×C11semidirect
750. #464C22×C11semidirect
751. #463C22×C11semidirect
752. #463C22×C11semidirect
753. #463C22×C11semidirect
754. #461C22×C11semidirect
755. #461C22×C11semidirect
756. #460C22×C11semidirect
757. #459C22×C11semidirect
758. #452C22×C11semidirect
759. #452C22×C11semidirect
760. #452C22×C11semidirect
761. #451C22×C11semidirect
762. #450C22×C11semidirect
763. #450C22×C11semidirect
764. #450C22×C11semidirect
765. #450C22×C11semidirect
766. #450C22×C11semidirect
767. #450C22×C11semidirect
768. #449C22×C11semidirect
769. #449C22×C11semidirect
770. #449C22×C11semidirect
771. #449C22×C11semidirect
772. #449C22×C11semidirect
773. #448C22×C11semidirect
774. #448C22×C11semidirect
775. #448C22×C11semidirect
776. #447C22×C11semidirect
777. #447C22×C11semidirect
778. #442C22×C11semidirect
779. #440C22×C11semidirect
780. C4×SD16C22×C11semidirect
781. C4×D8C22×C11semidirect
782. #436C22×C11semidirect
783. #435C22×C11semidirect
784. #435C22×C11semidirect
785. C8×D4C22×C11semidirect
786. #428C22×C11semidirect
787. #424C22×C11semidirect
788. #419C22×C11semidirect
789. #417C22×C11semidirect
790. #416C22×C11semidirect
791. #416C22×C11semidirect
792. C2×#102C22×C11semidirect
793. C2×#102C22×C11semidirect
794. #408C22×C11semidirect
795. C2×C22⋊C8C22×C11semidirect
796. #405C22×C11semidirect
830. C22×C11#577semidirect
866. C2×#41C23×C11semidirect
870. C22×Q8C23×C11semidirect
897. AGL(1,ℤ/8)D4×C11semidirect
901. C2×Q16C23×C11semidirect
902. C2×Q16C23×C11semidirect
903. C2×Q16C23×C11semidirect
916. C2×SD16C23×C11semidirect
917. C2×SD16C23×C11semidirect
918. C2×SD16C23×C11semidirect
919. C2×SD16C23×C11semidirect
920. C2×SD16C23×C11semidirect
926. C2×D8C23×C11semidirect
927. C2×D8C23×C11semidirect
933. C2×M16C23×C11semidirect
937. C22×C8C23×C11semidirect
939. C4⋊Q8C23×C11semidirect
945. #124C23×C11semidirect
968. C22⋊Q8C23×C11semidirect
986. #121C23×C11semidirect
998. C4×Q8C23×C11semidirect
1010. C4×D4C23×C11semidirect
1023. #107C23×C11semidirect
1024. #106C23×C11semidirect
1025. C4⋊C8C23×C11semidirect
1026. C4⋊C8C23×C11semidirect
1027. #103C23×C11semidirect
1028. #103C23×C11semidirect
1029. #103C23×C11semidirect
1030. #103C23×C11semidirect
1031. #103C23×C11semidirect
1032. #103C23×C11semidirect
1033. #103C23×C11semidirect
1038. #102C23×C11semidirect
1039. #102C23×C11semidirect
1040. #102C23×C11semidirect
1041. #102C23×C11semidirect
1042. #102C23×C11semidirect
1047. C22⋊C8C23×C11semidirect
1048. C22⋊C8C23×C11semidirect
1049. #97C23×C11semidirect
1050. C4×C8C23×C11semidirect
1093. #41C2×D4×C11semidirect
1197. SD16C2×D4×C11semidirect
1203. D8C2×D4×C11semidirect
1207. M16C2×D4×C11semidirect
1260. C11#61071direct (N × H)
1416. C22C11×#577semidirect

Maximal subgroups

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

subgroupindex
C2×C11×#5772
C22×C11×AGL(1,ℤ/8)2
C11×#34892
C11×#34842
D4×C11×SD162
C11×#32802
C11×#32752
C11×#32722
C11×#32672
C11×#32662
C11×#32652
C11×#32642
C11×#31542
C11×#30622
C11×#30562
C11×#30452
C11×#30422
C11×#30122
C11×#30102
C11×#30022
C2×C11×#4502
C11×#29462
C11×#29332
#6107111