Finite Group Databasebeta

← C11×#61066 #14638259

Subgroups — C11×#61066 #14638259

Order 2816.

2912 conjugacy classes of subgroups.

The subgroup lattice has 1616 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C11×#575C211yesmaximal, characteristic, complemented
2C22×C11×AGL(1,ℤ/8)C211yesmaximal, characteristic, complemented
3D4×C11×#41C211yesmaximal, characteristic, complemented
4C2×C11×#546C211yesmaximal, characteristic, complemented
5C11×#3282C212yesmaximal, complemented
6C11×#3280C212yesmaximal, complemented
7C11×#3275C212yesmaximal, complemented
8C11×#3273C212yesmaximal, complemented
9C11×#3268C212yesmaximal, complemented
10C11×#3267C212yesmaximal, complemented
11C11×#3266C212yesmaximal, complemented
12C11×#3264C212yesmaximal, complemented
13C11×#3153C211yesmaximal, characteristic, complemented
14C11×#3056C211yesmaximal, characteristic, complemented
15C11×#3055C211yesmaximal, characteristic, complemented
16C11×#3040C211yesmaximal, characteristic, complemented
17C11×#3036C211yesmaximal, characteristic, complemented
18C11×#3007C211yesmaximal, characteristic, complemented
19C11×#3006C211yesmaximal, characteristic, complemented
20C11×#3005C211yesmaximal, characteristic, complemented
21C11×#3003C211yesmaximal, characteristic, complemented
22C4×C11×AGL(1,ℤ/8)C211yesmaximal, characteristic, complemented
23D4×C11×M16C211yesmaximal, characteristic, complemented
24C22×C11×#41C2211yescharacteristic
25C22×C11×#41C2211yescharacteristic, complemented
26C22×C11×#41C2211yescharacteristic, complemented
27C23×D4×C11C2211yescharacteristic, complemented
28C11×#575—28no—
29C2×C11×#137C2211yescharacteristic, complemented
30C2×C11×#137C2211yescharacteristic, complemented
31C2×C11×#137C2211yescharacteristic, complemented
32C2×C11×#137C2212yescomplemented
33C2×C11×AGL(1,ℤ/8)—28no—
34C2×C11×AGL(1,ℤ/8)C2211yescharacteristic
35C2×C11×AGL(1,ℤ/8)C2211yescharacteristic
36C2×C11×AGL(1,ℤ/8)C2211yescharacteristic, complemented
37C2×C11×AGL(1,ℤ/8)C2211yescharacteristic, complemented
38C2×C11×AGL(1,ℤ/8)C2211yescharacteristic, complemented
39C2×C11×AGL(1,ℤ/8)C2212yescomplemented
40C2×C11×AGL(1,ℤ/8)C2212yescomplemented
41C2×C11×AGL(1,ℤ/8)C2211yescharacteristic, complemented
42C2×C11×AGL(1,ℤ/8)C2212yescomplemented
43C2×C11×#135C2212yescomplemented
44C2×C11×#135C2212yescomplemented
45C22×C11×SD16C2212yescomplemented
46C22×C11×D8C2212yescomplemented
47C22×C11×M16C2211yescharacteristic, complemented
48C22×C11×M16C2211yescharacteristic, complemented
49C11×#550C2211yescharacteristic, complemented
50D4×Q8×C11C2211yescharacteristic, complemented
51C11×#548C2211yescharacteristic, complemented
52C11×#548C2211yescharacteristic, complemented
53C11×#547—21no—
54C11×#547C2211yescharacteristic, complemented
55C11×#546—21no—
56C11×#546—21no—
57C11×#546—21no—
58C11×#546—21no—
59C11×#546—21no—
60C11×#546—21no—
61C11×#546C2212yes—
62C11×#546C2212yescomplemented
63C11×#546C2212yescomplemented
64C11×#546C2212yescomplemented
65C11×#546C2211yescharacteristic, complemented
66C11×#546C2211yescharacteristic, complemented
67D42×C11—21no—
68D42×C11C2211yescharacteristic, complemented
69C11×#532—21no—
70C11×#532C2211yescharacteristic, complemented
71C2×C11×#124C2211yescharacteristic, complemented
72C11×#525—21no—
73C11×#525—21no—
74C11×#525C2211yescharacteristic
75C11×#525C2211yescharacteristic, complemented
76C2×C11×#123—21no—
77C2×C11×C22⋊Q8C2211yescharacteristic, complemented
78C2×C11×#121—21no—
79C2×C11×#121C2211yescharacteristic, complemented
80C2×C11×#120—21no—
81C4×C11×#41C2211yescharacteristic, complemented
82C2×C4×D4×C11—21no—
83C2×C4×D4×C11C2211yescharacteristic
84C2×C4×D4×C11C2211yescharacteristic, complemented
85C22×C11×C22⋊C4—21no—
86C11×#497C2212yescomplemented
87C11×#496C2212yescomplemented
88C11×#495C2212yescomplemented
89C11×#495C2212yescomplemented
90C11×#470C2212yescomplemented
91C11×#469C2212yescomplemented
92C11×#468C2212yescomplemented
93C11×#468C2212yescomplemented
94C11×#467C2212yescomplemented
95C11×#466C2212yescomplemented
96C11×#465C2212yescomplemented
97C11×#465C2212yescomplemented
98C11×#464C2212yescomplemented
99C11×#464C2212yescomplemented
100C11×#463C2212yescomplemented
101C11×#463C2212yescomplemented
102C11×#463C2212yescomplemented
103C11×#463C2212yescomplemented
104C11×#461C2212yescomplemented
105C11×#459C2212yescomplemented
106C11×#452C2212yescomplemented
107C11×#452C2212yescomplemented
108C11×#452C2212yescomplemented
109C11×#452C2212yescomplemented
110C11×#451C2212yescomplemented
111C11×#450C2212yescomplemented
112C11×#450C2212yescomplemented
113C11×#450C2212yescomplemented
114C11×#449C2212yescomplemented
115C11×#449C2212yescomplemented
116C11×#449C2212yescomplemented
117C11×#449C2212yescomplemented
118C11×#448C2212yescomplemented
119C11×#447C2212yescomplemented
120C11×#447C2212yescomplemented
121C11×#447C2212yescomplemented
122C11×#442C2212yescomplemented
123C11×#440C2212yescomplemented
124C4×C11×SD16C2212yescomplemented
125C4×C11×D8C2212yescomplemented
126C11×#436C2212yescomplemented
127C11×#435C2212yescomplemented
128C11×#435C2212yescomplemented
129C8×D4×C11C2212yescomplemented
130C11×#428C2211yescharacteristic, complemented
131C11×#423C2211yescharacteristic, complemented
132C11×#419C2211yescharacteristic, complemented
133C11×#418C2211yescharacteristic, complemented
134C11×#418C2211yescharacteristic, complemented
135C11×#417C2211yescharacteristic, complemented
136C11×#417C2211yescharacteristic, complemented
137C11×#417C2211yescharacteristic, complemented
138C11×#407C2211yescharacteristic, complemented
139C11×#407C2211yescharacteristic, complemented
140C4×C11×M16C2211yescharacteristic, complemented
141C25×C11—21no—
142C2×C11×#41—21no—
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—24no—
151C2×C11×#41—42no—
152C2×C11×#41—42no—
153C2×C11×#41—42no—
154C2×C11×#41C2311yescharacteristic
155C2×C11×#41C2311yescharacteristic
156C2×C11×#41C2312yes—
157C2×C11×#41C2312yes—
158C2×C11×#41C2311yescharacteristic
159C2×C11×#41C2311yescharacteristic
160C2×C11×#41C2311yescharacteristic
161C2×C11×#41C2311yescharacteristic, complemented
162C2×C11×#41C2311yescharacteristic, complemented
163C22×Q8×C11C2311yescharacteristic
164C22×Q8×C11C2311yescharacteristic
165C22×Q8×C11C2311yescharacteristic, complemented
166C22×D4×C11—24no—
167C22×D4×C11—21no—
168C22×D4×C11—21no—
169C22×D4×C11—21no—
170C22×D4×C11—21no—
171C22×D4×C11—21no—
172C22×D4×C11—21no—
173C22×D4×C11—21no—
174C22×D4×C11—21no—
175C22×D4×C11—42no—
176C22×D4×C11D411yescharacteristic
177C22×D4×C11C2311yescharacteristic
178C22×D4×C11C2311yescharacteristic
179C22×D4×C11C2312yes—
180C22×D4×C11C2312yes—
181C22×D4×C11C2311yescharacteristic
182C22×D4×C11C2311yescharacteristic, complemented
183C23×C4×C11—21no—
184C23×C4×C11—21no—
185C23×C4×C11—21no—
186C23×C4×C11—21no—
187C23×C4×C11C2311yescharacteristic
188C23×C4×C11C2311yescharacteristic
189C11×#137—24no—
190C11×#137—28no—
191C11×#137—24no—
192C11×#137—42no—
193C11×AGL(1,ℤ/8)—24no—
194C11×AGL(1,ℤ/8)—24no—
195C11×AGL(1,ℤ/8)—24no—
196C11×AGL(1,ℤ/8)—28no—
197C11×AGL(1,ℤ/8)—28no—
198C11×AGL(1,ℤ/8)—28no—
199C11×AGL(1,ℤ/8)—24no—
200C11×AGL(1,ℤ/8)—42no—
201C11×AGL(1,ℤ/8)D418yescomplemented
202C11×#135—28no—
203C11×#135—28no—
204C2×C11×Q16C2312yescomplemented
205C2×C11×Q16C2312yescomplemented
206C2×C11×Q16C2312yescomplemented
207C2×C11×SD16—28no—
208C2×C11×SD16C2312yes—
209C2×C11×SD16C2312yes—
210C2×C11×SD16C2312yes—
211C2×C11×SD16C2312yes—
212C2×C11×SD16C2312yes—
213C2×C11×SD16C2312yes—
214C2×C11×SD16C2312yescomplemented
215C2×C11×SD16C2312yescomplemented
216C2×C11×SD16C2312yescomplemented
217C2×C11×D8—28no—
218C2×C11×D8C2312yes—
219C2×C11×D8C2312yes—
220C2×C11×D8C2312yes—
221C2×C11×D8C2312yes—
222C2×C11×D8C2312yes—
223C2×C11×D8C2312yes—
224C2×C11×M16—24no—
225C2×C11×M16—24no—
226C2×C11×M16C2311yescharacteristic
227C2×C11×M16C2311yescharacteristic
228C2×C11×M16C2311yescharacteristic
229C2×C11×M16C2312yes—
230C2×C11×M16C2311yescharacteristic
231C2×C11×M16C2312yescomplemented
232C22×C8×C11C2312yes—
233C22×C8×C11C2312yescomplemented
234C11×C4⋊Q8—21no—
235C11×C4⋊Q8C2311yescharacteristic, complemented
236C11×#127—21no—
237C11×#127C2311yescharacteristic, complemented
238C11×#124—21no—
239C11×#124—21no—
240C11×#124—21no—
241C11×#124—21no—
242C11×#124C2312yes—
243C11×#124C2312yes—
244C11×#124C2311yescharacteristic, complemented
245C11×#124C2311yescharacteristic, complemented
246C11×#123—21no—
247C11×#123—21no—
248C11×#123—22no—
249C11×#123—22no—
250C11×#123—22no—
251C11×#123—22no—
252C11×#123—21no—
253C11×#123—21no—
254C11×#123—21no—
255C11×#123—21no—
256C11×C22⋊Q8—21no—
257C11×C22⋊Q8—21no—
258C11×C22⋊Q8—21no—
259C11×C22⋊Q8—21no—
260C11×C22⋊Q8—21no—
261C11×C22⋊Q8—21no—
262C11×C22⋊Q8C2312yes—
263C11×C22⋊Q8C2312yes—
264C11×C22⋊Q8C2311yescharacteristic
265C11×C22⋊Q8C2311yescharacteristic
266C11×C22⋊Q8C2311yescharacteristic, complemented
267C11×C22⋊Q8C2311yescharacteristic, complemented
268C11×#121—21no—
269C11×#121—21no—
270C11×#121—21no—
271C11×#121—21no—
272C11×#121—21no—
273C11×#121—21no—
274C11×#121—21no—
275C11×#121—21no—
276C11×#121—22no—
277C11×#121—22no—
278C11×#121—22no—
279C11×#121—22no—
280C11×#121—21no—
281C11×#121—21no—
282C11×#121—21no—
283C11×#121—21no—
284C11×#121C2312yes—
285C11×#121C2312yes—
286C11×#121C2311yescharacteristic
287C11×#121C2311yescharacteristic
288C11×#121C2311yescharacteristic, complemented
289C11×#121C2311yescharacteristic, complemented
290C11×#120—21no—
291C11×#120—21no—
292C11×#120—22no—
293C11×#120—22no—
294C11×#120—22no—
295C11×#120—22no—
296C11×#120—21no—
297C11×#120—21no—
298C11×#120—21no—
299C11×#120—21no—
300C4×Q8×C11C2311yescharacteristic, complemented
301C4×Q8×C11C2311yescharacteristic, complemented
302C4×D4×C11—21no—
303C4×D4×C11—21no—
304C4×D4×C11—21no—
305C4×D4×C11—21no—
306C4×D4×C11—21no—
307C4×D4×C11—21no—
308C4×D4×C11—21no—
309C4×D4×C11—21no—
310C4×D4×C11—21no—
311C4×D4×C11—21no—
312C4×D4×C11—21no—
313C4×D4×C11—21no—
314C4×D4×C11—21no—
315C4×D4×C11—21no—
316C4×D4×C11D411yescharacteristic
317C4×D4×C11D411yescharacteristic
318C4×D4×C11D411yescharacteristic
319C4×D4×C11D411yescharacteristic
320C4×D4×C11C2312yes—
321C4×D4×C11C2312yes—
322C4×D4×C11C2311yescharacteristic
323C4×D4×C11C2311yescharacteristic
324C4×D4×C11C2311yescharacteristic
325C4×D4×C11C2311yescharacteristic
326C4×D4×C11C2311yescharacteristic, complemented
327C4×D4×C11C2311yescharacteristic, complemented
328C11×#117—21no—
329C11×#117C2311yescharacteristic
330C2×C11×C4⋊C4—21no—
331C2×C11×C4⋊C4—21no—
332C2×C11×C4⋊C4D411yescharacteristic
333C2×C11×C4⋊C4C2311yescharacteristic
334C2×C11×C22⋊C4—21no—
335C2×C11×C22⋊C4—21no—
336C2×C11×C22⋊C4—21no—
337C2×C11×C22⋊C4—21no—
338C2×C11×C22⋊C4—21no—
339C2×C11×C22⋊C4—22no—
340C2×C11×C22⋊C4—22no—
341C2×C11×C22⋊C4—22no—
342C2×C11×C22⋊C4—22no—
343C2×C11×C22⋊C4—21no—
344C2×C11×C22⋊C4—21no—
345C2×C11×C22⋊C4D411yescharacteristic
346C2×C11×C22⋊C4D411yescharacteristic
347C2×C42×C11—21no—
348C2×C42×C11C2311yescharacteristic
349C11×#107C2312yescomplemented
350C11×#106C2312yescomplemented
351C11×C4⋊C8C2312yescomplemented
352C11×C4⋊C8C2312yescomplemented
353C11×#103C2312yescomplemented
354C11×#103C2312yescomplemented
355C11×#103C2312yescomplemented
356C11×#103C2312yescomplemented
357C11×#103C2312yescomplemented
358C11×#102C2312yes—
359C11×#102C2312yes—
360C11×#102C2312yes—
361C11×#102C2312yes—
362C11×#102C2312yescomplemented
363C11×#102C2312yescomplemented
364C11×#102C2312yescomplemented
365C11×C22⋊C8C2312yes—
366C11×C22⋊C8C2312yes—
367C11×C22⋊C8C2312yescomplemented
368C11×C22⋊C8C2312yescomplemented
369C11×#97C2312yescomplemented
370C4×C8×C11C2312yescomplemented
371#61066C1111yesmaximal, characteristic, direct product factor, Sylow
372C24×C11—21no—
373C24×C11—21no—
374C24×C11—22no—
375C24×C11—22no—
376C24×C11—21no—
377C24×C11—21no—
378C24×C11—44no—
379C24×C11—44no—
380C24×C11—82no—
381C24×C11C2×D411yescharacteristic
382C24×C11C2×D411yescharacteristic
383C11×#41—22no—
384C11×#41—22no—
385C11×#41—22no—
386C11×#41—24no—
387C11×#41—22no—
388C11×#41—22no—
389C11×#41—24no—
390C11×#41—22no—
391C11×#41—22no—
392C11×#41—22no—
393C11×#41—22no—
394C11×#41—44no—
395C11×#41—44no—
396C11×#41—41no—
397C11×#41—41no—
398C11×#41—42no—
399C11×#41—42no—
400C11×#41—41no—
401C11×#41—41no—
402C11×#41—44no—
403C11×#41—44no—
404C11×#41—44no—
405C11×#41—44no—
406C11×#41C2×D414yes—
407C2×Q8×C11—21no—
408C2×Q8×C11—21no—
409C2×Q8×C11—21no—
410C2×Q8×C11—22no—
411C2×Q8×C11—22no—
412C2×Q8×C11—22no—
413C2×Q8×C11—22no—
414C2×Q8×C11—41no—
415C2×Q8×C11—41no—
416C2×Q8×C11C2412yes—
417C2×Q8×C11C2411yescharacteristic
418C2×Q8×C11C2411yescharacteristic
419C2×Q8×C11C2411yescharacteristic
420C2×D4×C11—21no—
421C2×D4×C11—22no—
422C2×D4×C11—24no—
423C2×D4×C11—24no—
424C2×D4×C11—22no—
425C2×D4×C11—21no—
426C2×D4×C11—21no—
427C2×D4×C11—22no—
428C2×D4×C11—22no—
429C2×D4×C11—21no—
430C2×D4×C11—21no—
431C2×D4×C11—21no—
432C2×D4×C11—21no—
433C2×D4×C11—21no—
434C2×D4×C11—21no—
435C2×D4×C11—21no—
436C2×D4×C11—21no—
437C2×D4×C11—22no—
438C2×D4×C11—22no—
439C2×D4×C11—21no—
440C2×D4×C11—22no—
441C2×D4×C11—21no—
442C2×D4×C11—21no—
443C2×D4×C11—21no—
444C2×D4×C11—22no—
445C2×D4×C11—22no—
446C2×D4×C11—21no—
447C2×D4×C11—21no—
448C2×D4×C11—22no—
449C2×D4×C11—22no—
450C2×D4×C11—42no—
451C2×D4×C11—42no—
452C2×D4×C11—41no—
453C2×D4×C11—41no—
454C2×D4×C11—44no—
455C2×D4×C11—44no—
456C2×D4×C11—44no—
457C2×D4×C11—42no—
458C2×D4×C11—44no—
459C2×D4×C11—44no—
460C2×D4×C11—44no—
461C2×D4×C11—44no—
462C2×D4×C11—82no—
463C2×D4×C11C2×D411yescharacteristic
464C2×D4×C11C2×D411yescharacteristic
465C2×D4×C11C2×D411yescharacteristic
466C2×D4×C11C2×D411yescharacteristic
467C2×D4×C11C2×D414yescomplemented
468C2×D4×C11C2412yes—
469C2×D4×C11C2411yescharacteristic
470C2×D4×C11C2411yescharacteristic
471C2×D4×C11C2412yes—
472C2×D4×C11C2411yescharacteristic
473C22×C4×C11—21no—
474C22×C4×C11—22no—
475C22×C4×C11—22no—
476C22×C4×C11—22no—
477C22×C4×C11—22no—
478C22×C4×C11—21no—
479C22×C4×C11—21no—
480C22×C4×C11—21no—
481C22×C4×C11—21no—
482C22×C4×C11—21no—
483C22×C4×C11—22no—
484C22×C4×C11—22no—
485C22×C4×C11—21no—
486C22×C4×C11—21no—
487C22×C4×C11—21no—
488C22×C4×C11—21no—
489C22×C4×C11—21no—
490C22×C4×C11—21no—
491C22×C4×C11—21no—
492C22×C4×C11—22no—
493C22×C4×C11—22no—
494C22×C4×C11—44no—
495C22×C4×C11—44no—
496C22×C4×C11—44no—
497C22×C4×C11—82no—
498C22×C4×C11C2×D411yescharacteristic
499C22×C4×C11C2×D411yescharacteristic
500C22×C4×C11C2×D411yescharacteristic
501C22×C4×C11C2×D411yescharacteristic
502C22×C4×C11C2×D411yescharacteristic
503C22×C4×C11C2×D411yescharacteristic
504C22×C4×C11C2×D411yescharacteristic
505C22×C4×C11C2×D411yescharacteristic
506C22×C4×C11C2411yescharacteristic
507C22×C4×C11C2411yescharacteristic
508C22×C4×C11C2411yescharacteristic
509C22×C4×C11C2411yescharacteristic
510C22×C4×C11C2411yescharacteristic
511C11×Q16—24no—
512C11×Q16—24no—
513C11×Q16—42no—
514C11×SD16—24no—
515C11×SD16—24no—
516C11×SD16—24no—
517C11×SD16—24no—
518C11×SD16—24no—
519C11×SD16—24no—
520C11×SD16—42no—
521C11×SD16—42no—
522C11×SD16C2×D418yescomplemented
523C11×D8—24no—
524C11×D8—24no—
525C11×D8—24no—
526C11×D8—24no—
527C11×D8—42no—
528C11×D8C2×D418yescomplemented
529C11×M16—24no—
530C11×M16—24no—
531C11×M16—22no—
532C11×M16—22no—
533C11×M16—22no—
534C11×M16C2×D414yescomplemented
535C2×C8×C11—24no—
536C2×C8×C11—24no—
537C2×C8×C11C2412yes—
538C2×C8×C11C2412yes—
539C2×C8×C11C2412yes—
540C2×C8×C11C2412yes—
541C11×C4⋊C4—21no—
542C11×C4⋊C4—21no—
543C11×C4⋊C4—21no—
544C11×C4⋊C4—22no—
545C11×C4⋊C4—22no—
546C11×C4⋊C4—21no—
547C11×C4⋊C4—21no—
548C11×C4⋊C4—21no—
549C11×C4⋊C4—21no—
550C11×C4⋊C4—21no—
551C11×C4⋊C4—21no—
552C11×C4⋊C4C2×D411yescharacteristic
553C11×C4⋊C4C2×D411yescharacteristic
554C11×C4⋊C4C2×D411yescharacteristic
555C11×C4⋊C4C2×D411yescharacteristic
556C11×C4⋊C4C2411yescharacteristic
557C11×C4⋊C4C2411yescharacteristic
558C11×C4⋊C4C2412yes—
559C11×C22⋊C4—22no—
560C11×C22⋊C4—22no—
561C11×C22⋊C4—21no—
562C11×C22⋊C4—21no—
563C11×C22⋊C4—21no—
564C11×C22⋊C4—21no—
565C11×C22⋊C4—21no—
566C11×C22⋊C4—22no—
567C11×C22⋊C4—22no—
568C11×C22⋊C4—22no—
569C11×C22⋊C4—22no—
570C11×C22⋊C4—21no—
571C11×C22⋊C4—21no—
572C11×C22⋊C4—21no—
573C11×C22⋊C4—21no—
574C11×C22⋊C4—22no—
575C11×C22⋊C4—22no—
576C11×C22⋊C4—22no—
577C11×C22⋊C4—22no—
578C11×C22⋊C4—21no—
579C11×C22⋊C4—21no—
580C11×C22⋊C4—21no—
581C11×C22⋊C4—21no—
582C11×C22⋊C4—21no—
583C11×C22⋊C4—21no—
584C11×C22⋊C4C2×D411yescharacteristic
585C11×C22⋊C4C2×D411yescharacteristic
586C11×C22⋊C4C2×D411yescharacteristic
587C11×C22⋊C4C2×D411yescharacteristic
588C11×C22⋊C4C2×D411yescharacteristic
589C11×C22⋊C4C2×D411yescharacteristic
590C11×C22⋊C4C2×D411yescharacteristic
591C11×C22⋊C4C2×D411yescharacteristic
592C42×C11—21no—
593C42×C11—21no—
594C42×C11—21no—
595C42×C11C2×D411yescharacteristic
596C42×C11C2×D411yescharacteristic
597C42×C11C2411yescharacteristic
598C42×C11C2411yescharacteristic
599C2×#575C2×C1111yescharacteristic, complemented
600C22×AGL(1,ℤ/8)C2×C1111yescharacteristic, complemented
601D4×#41C2×C1111yescharacteristic, complemented
602C2×#546C2×C1111yescharacteristic, complemented
603#3282C2×C1112yescomplemented
604#3280C2×C1112yescomplemented
605#3275C2×C1112yescomplemented
606#3273C2×C1112yescomplemented
607#3268C2×C1112yescomplemented
608#3267C2×C1112yescomplemented
609#3266C2×C1112yescomplemented
610#3264C2×C1112yescomplemented
611#3153C2×C1111yescharacteristic, complemented
612#3056C2×C1111yescharacteristic, complemented
613#3055C2×C1111yescharacteristic, complemented
614#3040C2×C1111yescharacteristic, complemented
615#3036C2×C1111yescharacteristic, complemented
616#3007C2×C1111yescharacteristic, complemented
617#3006C2×C1111yescharacteristic, complemented
618#3005C2×C1111yescharacteristic, complemented
619#3003C2×C1111yescharacteristic, complemented
620C4×AGL(1,ℤ/8)C2×C1111yescharacteristic, complemented
621D4×M16C2×C1111yescharacteristic, complemented
622C23×C11—22no—
623C23×C11—24no—
624C23×C11—22no—
625C23×C11—21no—
626C23×C11—22no—
627C23×C11—22no—
628C23×C11—22no—
629C23×C11—21no—
630C23×C11—21no—
631C23×C11—41no—
632C23×C11—41no—
633C23×C11—41no—
634C23×C11—42no—
635C23×C11—42no—
636C23×C11—44no—
637C23×C11—44no—
638C23×C11—42no—
639C23×C11—42no—
640C23×C11—42no—
641C23×C11—42no—
642C23×C11—42no—
643C23×C11—44no—
644C23×C11—42no—
645C23×C11—42no—
646C23×C11—44no—
647C23×C11—81no—
648C23×C11—81no—
649C23×C11—82no—
650C23×C11—82no—
651C23×C11—816no—
652C23×C11C22×D411yescharacteristic
653C23×C11C22×D411yescharacteristic
654C23×C11C22×D411yescharacteristic
655C23×C11C22×D411yescharacteristic
656C23×C11C22×D411yescharacteristic
657Q8×C11—21no—
658Q8×C11—21no—
659Q8×C11—22no—
660Q8×C11—21no—
661Q8×C11—21no—
662Q8×C11—22no—
663Q8×C11—21no—
664Q8×C11—42no—
665Q8×C11—42no—
666Q8×C11—42no—
667Q8×C11C22×D412yes—
668D4×C11—24no—
669D4×C11—22no—
670D4×C11—22no—
671D4×C11—24no—
672D4×C11—21no—
673D4×C11—22no—
674D4×C11—21no—
675D4×C11—22no—
676D4×C11—21no—
677D4×C11—21no—
678D4×C11—22no—
679D4×C11—21no—
680D4×C11—41no—
681D4×C11—41no—
682D4×C11—44no—
683D4×C11—44no—
684D4×C11—42no—
685D4×C11—42no—
686D4×C11—42no—
687D4×C11—42no—
688D4×C11—42no—
689D4×C11—44no—
690D4×C11—42no—
691D4×C11—44no—
692D4×C11—42no—
693D4×C11—42no—
694D4×C11—42no—
695D4×C11—42no—
696D4×C11—42no—
697D4×C11—42no—
698D4×C11—81no—
699D4×C11—81no—
700D4×C11—81no—
701D4×C11—82no—
702D4×C11—82no—
703D4×C11C22×D412yes—
704D4×C11C22×D414yes—
705C2×C4×C11—22no—
706C2×C4×C11—22no—
707C2×C4×C11—21no—
708C2×C4×C11—22no—
709C2×C4×C11—22no—
710C2×C4×C11—22no—
711C2×C4×C11—22no—
712C2×C4×C11—24no—
713C2×C4×C11—21no—
714C2×C4×C11—21no—
715C2×C4×C11—21no—
716C2×C4×C11—21no—
717C2×C4×C11—21no—
718C2×C4×C11—21no—
719C2×C4×C11—21no—
720C2×C4×C11—21no—
721C2×C4×C11—21no—
722C2×C4×C11—21no—
723C2×C4×C11—22no—
724C2×C4×C11—22no—
725C2×C4×C11—21no—
726C2×C4×C11—21no—
727C2×C4×C11—41no—
728C2×C4×C11—41no—
729C2×C4×C11—42no—
730C2×C4×C11—42no—
731C2×C4×C11—42no—
732C2×C4×C11—42no—
733C2×C4×C11—42no—
734C2×C4×C11—44no—
735C2×C4×C11—42no—
736C2×C4×C11—44no—
737C2×C4×C11—42no—
738C2×C4×C11—42no—
739C2×C4×C11—42no—
740C2×C4×C11—42no—
741C2×C4×C11—42no—
742C2×C4×C11—81no—
743C2×C4×C11—82no—
744C2×C4×C11—82no—
745C2×C4×C11C22×D411yescharacteristic
746C2×C4×C11C22×D411yescharacteristic
747C2×C4×C11C22×D411yescharacteristic
748C2×C4×C11C22×D411yescharacteristic
749C2×C4×C11C22×D411yescharacteristic
750C2×C4×C11C22×D411yescharacteristic
751C2×C4×C11C22×D411yescharacteristic
752C2×C4×C11C22×D411yescharacteristic
753C2×C4×C11C22×D411yescharacteristic
754C2×C4×C11C22×D412yes—
755C2×C4×C11H(5,𝔽2)12yes—
756C2×C4×C11C2511yescharacteristic
757C8×C11—22no—
758C8×C11—22no—
759C8×C11—22no—
760C8×C11C22×D414yes—
761C22×#41C22×C1111yescharacteristic
762C22×#41C22×C1111yescharacteristic, complemented
763C22×#41C22×C1111yescharacteristic, complemented
764C23×D4C22×C1111yescharacteristic, complemented
765#575—28no—
766C2×#137C22×C1111yescharacteristic, complemented
767C2×#137C22×C1111yescharacteristic, complemented
768C2×#137C22×C1111yescharacteristic, complemented
769C2×#137C22×C1112yescomplemented
770C2×AGL(1,ℤ/8)—28no—
771C2×AGL(1,ℤ/8)C22×C1111yescharacteristic
772C2×AGL(1,ℤ/8)C22×C1111yescharacteristic
773C2×AGL(1,ℤ/8)C22×C1111yescharacteristic, complemented
774C2×AGL(1,ℤ/8)C22×C1111yescharacteristic, complemented
775C2×AGL(1,ℤ/8)C22×C1111yescharacteristic, complemented
776C2×AGL(1,ℤ/8)C22×C1112yescomplemented
777C2×AGL(1,ℤ/8)C22×C1112yescomplemented
778C2×AGL(1,ℤ/8)C22×C1111yescharacteristic, complemented
779C2×AGL(1,ℤ/8)C22×C1112yescomplemented
780C2×#135C22×C1112yescomplemented
781C2×#135C22×C1112yescomplemented
782C22×SD16C22×C1112yescomplemented
783C22×D8C22×C1112yescomplemented
784C22×M16C22×C1111yescharacteristic, complemented
785C22×M16C22×C1111yescharacteristic, complemented
786#550C22×C1111yescharacteristic, complemented
787D4×Q8C22×C1111yescharacteristic, complemented
788#548C22×C1111yescharacteristic, complemented
789#548C22×C1111yescharacteristic, complemented
790#547—21no—
791#547C22×C1111yescharacteristic, complemented
792#546—21no—
793#546—21no—
794#546—21no—
795#546—21no—
796#546—21no—
797#546—21no—
798#546C22×C1112yes—
799#546C22×C1112yescomplemented
800#546C22×C1112yescomplemented
801#546C22×C1112yescomplemented
802#546C22×C1111yescharacteristic, complemented
803#546C22×C1111yescharacteristic, complemented
804D42—21no—
805D42C22×C1111yescharacteristic, complemented
806#532—21no—
807#532C22×C1111yescharacteristic, complemented
808C2×#124C22×C1111yescharacteristic, complemented
809#525—21no—
810#525—21no—
811#525C22×C1111yescharacteristic
812#525C22×C1111yescharacteristic, complemented
813C2×#123—21no—
814C2×C22⋊Q8C22×C1111yescharacteristic, complemented
815C2×#121—21no—
816C2×#121C22×C1111yescharacteristic, complemented
817C2×#120—21no—
818C4×#41C22×C1111yescharacteristic, complemented
819C2×C4×D4—21no—
820C2×C4×D4C22×C1111yescharacteristic
821C2×C4×D4C22×C1111yescharacteristic, complemented
822C22×C22⋊C4—21no—
823#497C22×C1112yescomplemented
824#496C22×C1112yescomplemented
825#495C22×C1112yescomplemented
826#495C22×C1112yescomplemented
827#470C22×C1112yescomplemented
828#469C22×C1112yescomplemented
829#468C22×C1112yescomplemented
830#468C22×C1112yescomplemented
831#467C22×C1112yescomplemented
832#466C22×C1112yescomplemented
833#465C22×C1112yescomplemented
834#465C22×C1112yescomplemented
835#464C22×C1112yescomplemented
836#464C22×C1112yescomplemented
837#463C22×C1112yescomplemented
838#463C22×C1112yescomplemented
839#463C22×C1112yescomplemented
840#463C22×C1112yescomplemented
841#461C22×C1112yescomplemented
842#459C22×C1112yescomplemented
843#452C22×C1112yescomplemented
844#452C22×C1112yescomplemented
845#452C22×C1112yescomplemented
846#452C22×C1112yescomplemented
847#451C22×C1112yescomplemented
848#450C22×C1112yescomplemented
849#450C22×C1112yescomplemented
850#450C22×C1112yescomplemented
851#449C22×C1112yescomplemented
852#449C22×C1112yescomplemented
853#449C22×C1112yescomplemented
854#449C22×C1112yescomplemented
855#448C22×C1112yescomplemented
856#447C22×C1112yescomplemented
857#447C22×C1112yescomplemented
858#447C22×C1112yescomplemented
859#442C22×C1112yescomplemented
860#440C22×C1112yescomplemented
861C4×SD16C22×C1112yescomplemented
862C4×D8C22×C1112yescomplemented
863#436C22×C1112yescomplemented
864#435C22×C1112yescomplemented
865#435C22×C1112yescomplemented
866C8×D4C22×C1112yescomplemented
867#428C22×C1111yescharacteristic, complemented
868#423C22×C1111yescharacteristic, complemented
869#419C22×C1111yescharacteristic, complemented
870#418C22×C1111yescharacteristic, complemented
871#418C22×C1111yescharacteristic, complemented
872#417C22×C1111yescharacteristic, complemented
873#417C22×C1111yescharacteristic, complemented
874#417C22×C1111yescharacteristic, complemented
875#407C22×C1111yescharacteristic, complemented
876#407C22×C1111yescharacteristic, complemented
877C4×M16C22×C1111yescharacteristic, complemented
878C22×C11—21no—
879C22×C11—21no—
880C22×C11—21no—
881C22×C11—21no—
882C22×C11—21no—
883C22×C11—21no—
884C22×C11—21no—
885C22×C11—21no—
886C22×C11—21no—
887C22×C11—21no—
888C22×C11—22no—
889C22×C11—24no—
890C22×C11—21no—
891C22×C11—21no—
892C22×C11—21no—
893C22×C11—44no—
894C22×C11—48no—
895C22×C11—42no—
896C22×C11—41no—
897C22×C11—41no—
898C22×C11—42no—
899C22×C11—42no—
900C22×C11—41no—
901C22×C11—41no—
902C22×C11—41no—
903C22×C11—41no—
904C22×C11—42no—
905C22×C11—41no—
906C22×C11—41no—
907C22×C11—42no—
908C22×C11—82no—
909C22×C11—84no—
910C22×C11—88no—
911C22×C11—84no—
912C22×C11—84no—
913C22×C11—88no—
914C22×C11D4212yes—
915C22×C11#57512yescomplemented
916C22×C11C23×D411yescharacteristic
917C4×C11—21no—
918C4×C11—21no—
919C4×C11—21no—
920C4×C11—21no—
921C4×C11—21no—
922C4×C11—21no—
923C4×C11—22no—
924C4×C11—21no—
925C4×C11—21no—
926C4×C11—42no—
927C4×C11—41no—
928C4×C11—42no—
929C4×C11—41no—
930C4×C11—41no—
931C4×C11—41no—
932C4×C11D4212yes—
933C4×C11C23×D411yescharacteristic
934C4×C11C2×H(5,𝔽2)11yescharacteristic
935C25—21no—
936C2×#41—21no—
937C2×#41—21no—
938C2×#41—21no—
939C2×#41—21no—
940C2×#41—21no—
941C2×#41—21no—
942C2×#41—24no—
943C2×#41—24no—
944C2×#41—24no—
945C2×#41—42no—
946C2×#41—42no—
947C2×#41—42no—
948C2×#41C23×C1111yescharacteristic
949C2×#41C23×C1111yescharacteristic
950C2×#41C23×C1112yes—
951C2×#41C23×C1112yes—
952C2×#41C23×C1111yescharacteristic
953C2×#41C23×C1111yescharacteristic
954C2×#41C23×C1111yescharacteristic
955C2×#41C23×C1111yescharacteristic, complemented
956C2×#41C23×C1111yescharacteristic, complemented
957C22×Q8C23×C1111yescharacteristic
958C22×Q8C23×C1111yescharacteristic
959C22×Q8C23×C1111yescharacteristic, complemented
960C22×D4—24no—
961C22×D4—21no—
962C22×D4—21no—
963C22×D4—21no—
964C22×D4—21no—
965C22×D4—21no—
966C22×D4—21no—
967C22×D4—21no—
968C22×D4—21no—
969C22×D4—42no—
970C22×D4D4×C1111yescharacteristic
971C22×D4C23×C1111yescharacteristic
972C22×D4C23×C1111yescharacteristic
973C22×D4C23×C1112yes—
974C22×D4C23×C1112yes—
975C22×D4C23×C1111yescharacteristic
976C22×D4C23×C1111yescharacteristic, complemented
977C23×C4—21no—
978C23×C4—21no—
979C23×C4—21no—
980C23×C4—21no—
981C23×C4C23×C1111yescharacteristic
982C23×C4C23×C1111yescharacteristic
983#137—24no—
984#137—28no—
985#137—24no—
986#137—42no—
987AGL(1,ℤ/8)—24no—
988AGL(1,ℤ/8)—24no—
989AGL(1,ℤ/8)—24no—
990AGL(1,ℤ/8)—28no—
991AGL(1,ℤ/8)—28no—
992AGL(1,ℤ/8)—28no—
993AGL(1,ℤ/8)—24no—
994AGL(1,ℤ/8)—42no—
995AGL(1,ℤ/8)D4×C1118yescomplemented
996#135—28no—
997#135—28no—
998C2×Q16C23×C1112yescomplemented
999C2×Q16C23×C1112yescomplemented
1000C2×Q16C23×C1112yescomplemented
1001C2×SD16—28no—
1002C2×SD16C23×C1112yes—
1003C2×SD16C23×C1112yes—
1004C2×SD16C23×C1112yes—
1005C2×SD16C23×C1112yes—
1006C2×SD16C23×C1112yes—
1007C2×SD16C23×C1112yes—
1008C2×SD16C23×C1112yescomplemented
1009C2×SD16C23×C1112yescomplemented
1010C2×SD16C23×C1112yescomplemented
1011C2×D8—28no—
1012C2×D8C23×C1112yes—
1013C2×D8C23×C1112yes—
1014C2×D8C23×C1112yes—
1015C2×D8C23×C1112yes—
1016C2×D8C23×C1112yes—
1017C2×D8C23×C1112yes—
1018C2×M16—24no—
1019C2×M16—24no—
1020C2×M16C23×C1111yescharacteristic
1021C2×M16C23×C1112yes—
1022C2×M16C23×C1111yescharacteristic
1023C2×M16C23×C1111yescharacteristic
1024C2×M16C23×C1111yescharacteristic
1025C2×M16C23×C1112yescomplemented
1026C22×C8C23×C1112yes—
1027C22×C8C23×C1112yescomplemented
1028C4⋊Q8—21no—
1029C4⋊Q8C23×C1111yescharacteristic, complemented
1030#127—21no—
1031#127C23×C1111yescharacteristic, complemented
1032#124—21no—
1033#124—21no—
1034#124—21no—
1035#124—21no—
1036#124C23×C1112yes—
1037#124C23×C1112yes—
1038#124C23×C1111yescharacteristic, complemented
1039#124C23×C1111yescharacteristic, complemented
1040#123—21no—
1041#123—21no—
1042#123—22no—
1043#123—22no—
1044#123—22no—
1045#123—22no—
1046#123—21no—
1047#123—21no—
1048#123—21no—
1049#123—21no—
1050C22⋊Q8—21no—
1051C22⋊Q8—21no—
1052C22⋊Q8—21no—
1053C22⋊Q8—21no—
1054C22⋊Q8—21no—
1055C22⋊Q8—21no—
1056C22⋊Q8C23×C1112yes—
1057C22⋊Q8C23×C1112yes—
1058C22⋊Q8C23×C1111yescharacteristic
1059C22⋊Q8C23×C1111yescharacteristic
1060C22⋊Q8C23×C1111yescharacteristic, complemented
1061C22⋊Q8C23×C1111yescharacteristic, complemented
1062#121—21no—
1063#121—21no—
1064#121—21no—
1065#121—21no—
1066#121—21no—
1067#121—21no—
1068#121—21no—
1069#121—21no—
1070#121—22no—
1071#121—22no—
1072#121—22no—
1073#121—22no—
1074#121—21no—
1075#121—21no—
1076#121—21no—
1077#121—21no—
1078#121C23×C1112yes—
1079#121C23×C1112yes—
1080#121C23×C1111yescharacteristic
1081#121C23×C1111yescharacteristic
1082#121C23×C1111yescharacteristic, complemented
1083#121C23×C1111yescharacteristic, complemented
1084#120—21no—
1085#120—21no—
1086#120—22no—
1087#120—22no—
1088#120—22no—
1089#120—22no—
1090#120—21no—
1091#120—21no—
1092#120—21no—
1093#120—21no—
1094C4×Q8C23×C1111yescharacteristic, complemented
1095C4×Q8C23×C1111yescharacteristic, complemented
1096C4×D4—21no—
1097C4×D4—21no—
1098C4×D4—21no—
1099C4×D4—21no—
1100C4×D4—21no—
1101C4×D4—21no—
1102C4×D4—21no—
1103C4×D4—21no—
1104C4×D4—21no—
1105C4×D4—21no—
1106C4×D4—21no—
1107C4×D4—21no—
1108C4×D4—21no—
1109C4×D4—21no—
1110C4×D4D4×C1111yescharacteristic
1111C4×D4D4×C1111yescharacteristic
1112C4×D4D4×C1111yescharacteristic
1113C4×D4D4×C1111yescharacteristic
1114C4×D4C23×C1112yes—
1115C4×D4C23×C1112yes—
1116C4×D4C23×C1111yescharacteristic
1117C4×D4C23×C1111yescharacteristic
1118C4×D4C23×C1111yescharacteristic
1119C4×D4C23×C1111yescharacteristic
1120C4×D4C23×C1111yescharacteristic, complemented
1121C4×D4C23×C1111yescharacteristic, complemented
1122#117—21no—
1123#117C23×C1111yescharacteristic
1124C2×C4⋊C4—21no—
1125C2×C4⋊C4—21no—
1126C2×C4⋊C4D4×C1111yescharacteristic
1127C2×C4⋊C4C23×C1111yescharacteristic
1128C2×C22⋊C4—21no—
1129C2×C22⋊C4—21no—
1130C2×C22⋊C4—21no—
1131C2×C22⋊C4—21no—
1132C2×C22⋊C4—21no—
1133C2×C22⋊C4—22no—
1134C2×C22⋊C4—22no—
1135C2×C22⋊C4—22no—
1136C2×C22⋊C4—22no—
1137C2×C22⋊C4—21no—
1138C2×C22⋊C4—21no—
1139C2×C22⋊C4D4×C1111yescharacteristic
1140C2×C22⋊C4D4×C1111yescharacteristic
1141C2×C42—21no—
1142C2×C42C23×C1111yescharacteristic
1143#107C23×C1112yescomplemented
1144#106C23×C1112yescomplemented
1145C4⋊C8C23×C1112yescomplemented
1146C4⋊C8C23×C1112yescomplemented
1147#103C23×C1112yescomplemented
1148#103C23×C1112yescomplemented
1149#103C23×C1112yescomplemented
1150#103C23×C1112yescomplemented
1151#103C23×C1112yescomplemented
1152#102C23×C1112yes—
1153#102C23×C1112yes—
1154#102C23×C1112yes—
1155#102C23×C1112yes—
1156#102C23×C1112yescomplemented
1157#102C23×C1112yescomplemented
1158#102C23×C1112yescomplemented
1159C22⋊C8C23×C1112yes—
1160C22⋊C8C23×C1112yes—
1161C22⋊C8C23×C1112yescomplemented
1162C22⋊C8C23×C1112yescomplemented
1163#97C23×C1112yescomplemented
1164C4×C8C23×C1112yescomplemented
1165C2×C11—22no—
1166C2×C11—22no—
1167C2×C11—41no—
1168C2×C11—41no—
1169C2×C11—41no—
1170C2×C11—44no—
1171C2×C11—42no—
1172C2×C11—81no—
1173C2×C11—81no—
1174C2×C11—82no—
1175C2×C11C2×D4211yescharacteristic
1176C2×C11C2×#57511yescharacteristic
1177C2×C11#358511yescharacteristic
1178C24—21no—
1179C24—21no—
1180C24—22no—
1181C24—22no—
1182C24—21no—
1183C24—21no—
1184C24—44no—
1185C24—44no—
1186C24—82no—
1187C24C2×D4×C1111yescharacteristic
1188C24C2×D4×C1111yescharacteristic
1189#41—22no—
1190#41—22no—
1191#41—22no—
1192#41—24no—
1193#41—22no—
1194#41—22no—
1195#41—24no—
1196#41—22no—
1197#41—22no—
1198#41—22no—
1199#41—22no—
1200#41—44no—
1201#41—44no—
1202#41—41no—
1203#41—41no—
1204#41—42no—
1205#41—42no—
1206#41—41no—
1207#41—41no—
1208#41—44no—
1209#41—44no—
1210#41—44no—
1211#41—44no—
1212#41C2×D4×C1114yes—
1213C2×Q8—21no—
1214C2×Q8—21no—
1215C2×Q8—21no—
1216C2×Q8—22no—
1217C2×Q8—22no—
1218C2×Q8—22no—
1219C2×Q8—22no—
1220C2×Q8—41no—
1221C2×Q8—41no—
1222C2×Q8C24×C1112yes—
1223C2×Q8C24×C1111yescharacteristic
1224C2×Q8C24×C1111yescharacteristic
1225C2×Q8C24×C1111yescharacteristic
1226C2×D4—21no—
1227C2×D4—22no—
1228C2×D4—24no—
1229C2×D4—24no—
1230C2×D4—22no—
1231C2×D4—21no—
1232C2×D4—21no—
1233C2×D4—22no—
1234C2×D4—22no—
1235C2×D4—21no—
1236C2×D4—21no—
1237C2×D4—21no—
1238C2×D4—21no—
1239C2×D4—21no—
1240C2×D4—21no—
1241C2×D4—21no—
1242C2×D4—21no—
1243C2×D4—22no—
1244C2×D4—22no—
1245C2×D4—21no—
1246C2×D4—22no—
1247C2×D4—21no—
1248C2×D4—21no—
1249C2×D4—21no—
1250C2×D4—22no—
1251C2×D4—22no—
1252C2×D4—21no—
1253C2×D4—21no—
1254C2×D4—22no—
1255C2×D4—22no—
1256C2×D4—42no—
1257C2×D4—42no—
1258C2×D4—41no—
1259C2×D4—41no—
1260C2×D4—44no—
1261C2×D4—44no—
1262C2×D4—44no—
1263C2×D4—42no—
1264C2×D4—44no—
1265C2×D4—44no—
1266C2×D4—44no—
1267C2×D4—44no—
1268C2×D4—82no—
1269C2×D4C2×D4×C1111yescharacteristic
1270C2×D4C2×D4×C1111yescharacteristic
1271C2×D4C2×D4×C1111yescharacteristic
1272C2×D4C2×D4×C1111yescharacteristic
1273C2×D4C2×D4×C1114yescomplemented
1274C2×D4C24×C1112yes—
1275C2×D4C24×C1111yescharacteristic
1276C2×D4C24×C1111yescharacteristic
1277C2×D4C24×C1112yes—
1278C2×D4C24×C1111yescharacteristic
1279C22×C4—21no—
1280C22×C4—22no—
1281C22×C4—22no—
1282C22×C4—22no—
1283C22×C4—22no—
1284C22×C4—21no—
1285C22×C4—21no—
1286C22×C4—21no—
1287C22×C4—21no—
1288C22×C4—21no—
1289C22×C4—22no—
1290C22×C4—22no—
1291C22×C4—21no—
1292C22×C4—21no—
1293C22×C4—21no—
1294C22×C4—21no—
1295C22×C4—21no—
1296C22×C4—21no—
1297C22×C4—21no—
1298C22×C4—22no—
1299C22×C4—22no—
1300C22×C4—44no—
1301C22×C4—44no—
1302C22×C4—44no—
1303C22×C4—82no—
1304C22×C4C2×D4×C1111yescharacteristic
1305C22×C4C2×D4×C1111yescharacteristic
1306C22×C4C2×D4×C1111yescharacteristic
1307C22×C4C2×D4×C1111yescharacteristic
1308C22×C4C2×D4×C1111yescharacteristic
1309C22×C4C2×D4×C1111yescharacteristic
1310C22×C4C2×D4×C1111yescharacteristic
1311C22×C4C2×D4×C1111yescharacteristic
1312C22×C4C24×C1111yescharacteristic
1313C22×C4C24×C1111yescharacteristic
1314C22×C4C24×C1111yescharacteristic
1315C22×C4C24×C1111yescharacteristic
1316C22×C4C24×C1111yescharacteristic
1317Q16—24no—
1318Q16—24no—
1319Q16—42no—
1320SD16—24no—
1321SD16—24no—
1322SD16—24no—
1323SD16—24no—
1324SD16—24no—
1325SD16—24no—
1326SD16—42no—
1327SD16—42no—
1328SD16C2×D4×C1118yescomplemented
1329D8—24no—
1330D8—24no—
1331D8—24no—
1332D8—24no—
1333D8—42no—
1334D8C2×D4×C1118yescomplemented
1335M16—22no—
1336M16—22no—
1337M16—22no—
1338M16—24no—
1339M16—24no—
1340M16C2×D4×C1114yescomplemented
1341C2×C8—24no—
1342C2×C8—24no—
1343C2×C8C24×C1112yes—
1344C2×C8C24×C1112yes—
1345C2×C8C24×C1112yes—
1346C2×C8C24×C1112yes—
1347C4⋊C4—21no—
1348C4⋊C4—21no—
1349C4⋊C4—21no—
1350C4⋊C4—22no—
1351C4⋊C4—22no—
1352C4⋊C4—21no—
1353C4⋊C4—21no—
1354C4⋊C4—21no—
1355C4⋊C4—21no—
1356C4⋊C4—21no—
1357C4⋊C4—21no—
1358C4⋊C4C2×D4×C1111yescharacteristic
1359C4⋊C4C2×D4×C1111yescharacteristic
1360C4⋊C4C2×D4×C1111yescharacteristic
1361C4⋊C4C2×D4×C1111yescharacteristic
1362C4⋊C4C24×C1111yescharacteristic
1363C4⋊C4C24×C1111yescharacteristic
1364C4⋊C4C24×C1112yes—
1365C22⋊C4—22no—
1366C22⋊C4—22no—
1367C22⋊C4—21no—
1368C22⋊C4—21no—
1369C22⋊C4—21no—
1370C22⋊C4—21no—
1371C22⋊C4—21no—
1372C22⋊C4—22no—
1373C22⋊C4—22no—
1374C22⋊C4—22no—
1375C22⋊C4—22no—
1376C22⋊C4—21no—
1377C22⋊C4—21no—
1378C22⋊C4—21no—
1379C22⋊C4—21no—
1380C22⋊C4—22no—
1381C22⋊C4—22no—
1382C22⋊C4—22no—
1383C22⋊C4—22no—
1384C22⋊C4—21no—
1385C22⋊C4—21no—
1386C22⋊C4—21no—
1387C22⋊C4—21no—
1388C22⋊C4—21no—
1389C22⋊C4—21no—
1390C22⋊C4C2×D4×C1111yescharacteristic
1391C22⋊C4C2×D4×C1111yescharacteristic
1392C22⋊C4C2×D4×C1111yescharacteristic
1393C22⋊C4C2×D4×C1111yescharacteristic
1394C22⋊C4C2×D4×C1111yescharacteristic
1395C22⋊C4C2×D4×C1111yescharacteristic
1396C22⋊C4C2×D4×C1111yescharacteristic
1397C22⋊C4C2×D4×C1111yescharacteristic
1398C42—21no—
1399C42—21no—
1400C42—21no—
1401C42C2×D4×C1111yescharacteristic
1402C42C2×D4×C1111yescharacteristic
1403C42C24×C1111yescharacteristic
1404C42C24×C1111yescharacteristic
1405C11#6106611yescharacteristic, direct product factor, Sylow
1406C23—22no—
1407C23—24no—
1408C23—22no—
1409C23—21no—
1410C23—22no—
1411C23—22no—
1412C23—22no—
1413C23—21no—
1414C23—21no—
1415C23—41no—
1416C23—41no—
1417C23—41no—
1418C23—42no—
1419C23—42no—
1420C23—44no—
1421C23—44no—
1422C23—42no—
1423C23—42no—
1424C23—42no—
1425C23—42no—
1426C23—42no—
1427C23—44no—
1428C23—42no—
1429C23—42no—
1430C23—44no—
1431C23—81no—
1432C23—81no—
1433C23—82no—
1434C23—82no—
1435C23—816no—
1436C23C22×D4×C1111yescharacteristic
1437C23C22×D4×C1111yescharacteristic
1438C23C22×D4×C1111yescharacteristic
1439C23C22×D4×C1111yescharacteristic
1440C23C22×D4×C1111yescharacteristic
1441Q8—21no—
1442Q8—21no—
1443Q8—21no—
1444Q8—22no—
1445Q8—21no—
1446Q8—22no—
1447Q8—21no—
1448Q8—42no—
1449Q8—42no—
1450Q8—42no—
1451Q8C22×D4×C1112yes—
1452D4—24no—
1453D4—22no—
1454D4—22no—
1455D4—24no—
1456D4—21no—
1457D4—22no—
1458D4—21no—
1459D4—22no—
1460D4—21no—
1461D4—21no—
1462D4—22no—
1463D4—21no—
1464D4—41no—
1465D4—41no—
1466D4—44no—
1467D4—44no—
1468D4—42no—
1469D4—42no—
1470D4—42no—
1471D4—42no—
1472D4—42no—
1473D4—44no—
1474D4—42no—
1475D4—44no—
1476D4—42no—
1477D4—42no—
1478D4—42no—
1479D4—42no—
1480D4—42no—
1481D4—42no—
1482D4—81no—
1483D4—81no—
1484D4—81no—
1485D4—82no—
1486D4—82no—
1487D4C22×D4×C1112yes—
1488D4C22×D4×C1114yes—
1489C2×C4—22no—
1490C2×C4—22no—
1491C2×C4—21no—
1492C2×C4—22no—
1493C2×C4—22no—
1494C2×C4—22no—
1495C2×C4—22no—
1496C2×C4—24no—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—22no—
1508C2×C4—22no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—41no—
1512C2×C4—41no—
1513C2×C4—42no—
1514C2×C4—42no—
1515C2×C4—42no—
1516C2×C4—42no—
1517C2×C4—42no—
1518C2×C4—44no—
1519C2×C4—42no—
1520C2×C4—44no—
1521C2×C4—42no—
1522C2×C4—42no—
1523C2×C4—42no—
1524C2×C4—42no—
1525C2×C4—42no—
1526C2×C4—81no—
1527C2×C4—82no—
1528C2×C4—82no—
1529C2×C4C22×D4×C1111yescharacteristic
1530C2×C4C22×D4×C1111yescharacteristic
1531C2×C4C22×D4×C1111yescharacteristic
1532C2×C4C22×D4×C1111yescharacteristic
1533C2×C4C22×D4×C1111yescharacteristic
1534C2×C4C22×D4×C1111yescharacteristic
1535C2×C4C22×D4×C1111yescharacteristic
1536C2×C4C22×D4×C1111yescharacteristic
1537C2×C4C22×D4×C1111yescharacteristic
1538C2×C4C22×D4×C1112yes—
1539C2×C4C11×H(5,𝔽2)12yes—
1540C2×C4C25×C1111yescharacteristic
1541C8—22no—
1542C8—22no—
1543C8—22no—
1544C8C22×D4×C1114yes—
1545C22—21no—
1546C22—21no—
1547C22—21no—
1548C22—21no—
1549C22—21no—
1550C22—21no—
1551C22—21no—
1552C22—22no—
1553C22—24no—
1554C22—21no—
1555C22—21no—
1556C22—21no—
1557C22—21no—
1558C22—21no—
1559C22—21no—
1560C22—44no—
1561C22—48no—
1562C22—41no—
1563C22—42no—
1564C22—42no—
1565C22—41no—
1566C22—41no—
1567C22—41no—
1568C22—42no—
1569C22—41no—
1570C22—41no—
1571C22—42no—
1572C22—42no—
1573C22—41no—
1574C22—41no—
1575C22—82no—
1576C22—88no—
1577C22—84no—
1578C22—84no—
1579C22—88no—
1580C22—84no—
1581C22D42×C1112yes—
1582C22C11×#57512yescomplemented
1583C22C23×D4×C1111yescharacteristic
1584C4—21no—
1585C4—21no—
1586C4—21no—
1587C4—21no—
1588C4—22no—
1589C4—21no—
1590C4—21no—
1591C4—21no—
1592C4—21no—
1593C4—42no—
1594C4—41no—
1595C4—41no—
1596C4—41no—
1597C4—42no—
1598C4—41no—
1599C4D42×C1112yes—
1600C4C23×D4×C1111yescharacteristic
1601C4C2×C11×H(5,𝔽2)11yescharacteristic
1602C2—22no—
1603C2—22no—
1604C2—41no—
1605C2—41no—
1606C2—41no—
1607C2—44no—
1608C2—42no—
1609C2—82no—
1610C2—81no—
1611C2—81no—
1612C2C2×D42×C1111yescharacteristic
1613C2C2×C11×#57511yescharacteristic
1614C2C11×#358511yescharacteristic
subgroupG/H
center, socleC22×C11C23×D4
commutator, Frattini, cosocleC2×C4C25×C11
LCSG ▷ C2×C4 ▷ C2 ▷ C1
UCSC1 ◁ C22×C11 ◁ C2×C4×D4×C11 ◁ G

Complements

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

NH ≅ G/Ntype
1. C2×C11×#575C2semidirect
2. C22×C11×AGL(1,ℤ/8)C2semidirect
3. D4×C11×#41C2semidirect
4. C2×C11×#546C2semidirect
5. C11×#3282C2semidirect
6. C11×#3280C2semidirect
7. C11×#3275C2semidirect
8. C11×#3273C2semidirect
9. C11×#3268C2semidirect
10. C11×#3267C2semidirect
11. C11×#3266C2semidirect
12. C11×#3264C2semidirect
13. C11×#3153C2semidirect
14. C11×#3056C2semidirect
15. C11×#3055C2semidirect
16. C11×#3040C2semidirect
17. C11×#3036C2semidirect
18. C11×#3007C2semidirect
19. C11×#3006C2semidirect
20. C11×#3005C2semidirect
21. C11×#3003C2semidirect
22. C4×C11×AGL(1,ℤ/8)C2semidirect
23. D4×C11×M16C2semidirect
25. C22×C11×#41C22semidirect
26. C22×C11×#41C22semidirect
27. C23×D4×C11C22semidirect
29. C2×C11×#137C22semidirect
30. C2×C11×#137C22semidirect
31. C2×C11×#137C22semidirect
32. C2×C11×#137C22semidirect
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×AGL(1,ℤ/8)C22semidirect
40. C2×C11×AGL(1,ℤ/8)C22semidirect
41. C2×C11×AGL(1,ℤ/8)C22semidirect
42. C2×C11×AGL(1,ℤ/8)C22semidirect
43. C2×C11×#135C22semidirect
44. C2×C11×#135C22semidirect
45. C22×C11×SD16C22semidirect
46. C22×C11×D8C22semidirect
47. C22×C11×M16C22semidirect
48. C22×C11×M16C22semidirect
49. C11×#550C22semidirect
50. D4×Q8×C11C22semidirect
51. C11×#548C22semidirect
52. C11×#548C22semidirect
54. C11×#547C22semidirect
62. C11×#546C22semidirect
63. C11×#546C22semidirect
64. C11×#546C22semidirect
65. C11×#546C22semidirect
66. C11×#546C22semidirect
68. D42×C11C22semidirect
70. C11×#532C22semidirect
71. C2×C11×#124C22semidirect
75. C11×#525C22semidirect
77. C2×C11×C22⋊Q8C22semidirect
79. C2×C11×#121C22semidirect
81. C4×C11×#41C22semidirect
84. C2×C4×D4×C11C22semidirect
86. C11×#497C22semidirect
87. C11×#496C22semidirect
88. C11×#495C22semidirect
89. C11×#495C22semidirect
90. C11×#470C22semidirect
91. C11×#469C22semidirect
92. C11×#468C22semidirect
93. C11×#468C22semidirect
94. C11×#467C22semidirect
95. C11×#466C22semidirect
96. C11×#465C22semidirect
97. C11×#465C22semidirect
98. C11×#464C22semidirect
99. C11×#464C22semidirect
100. C11×#463C22semidirect
101. C11×#463C22semidirect
102. C11×#463C22semidirect
103. C11×#463C22semidirect
104. C11×#461C22semidirect
105. C11×#459C22semidirect
106. C11×#452C22semidirect
107. C11×#452C22semidirect
108. C11×#452C22semidirect
109. C11×#452C22semidirect
110. C11×#451C22semidirect
111. C11×#450C22semidirect
112. C11×#450C22semidirect
113. C11×#450C22semidirect
114. C11×#449C22semidirect
115. C11×#449C22semidirect
116. C11×#449C22semidirect
117. C11×#449C22semidirect
118. C11×#448C22semidirect
119. C11×#447C22semidirect
120. C11×#447C22semidirect
121. C11×#447C22semidirect
122. C11×#442C22semidirect
123. C11×#440C22semidirect
124. C4×C11×SD16C22semidirect
125. C4×C11×D8C22semidirect
126. C11×#436C22semidirect
127. C11×#435C22semidirect
128. C11×#435C22semidirect
129. C8×D4×C11C22semidirect
130. C11×#428C22semidirect
131. C11×#423C22semidirect
132. C11×#419C22semidirect
133. C11×#418C22semidirect
134. C11×#418C22semidirect
135. C11×#417C22semidirect
136. C11×#417C22semidirect
137. C11×#417C22semidirect
138. C11×#407C22semidirect
139. C11×#407C22semidirect
140. C4×C11×M16C22semidirect
161. C2×C11×#41C23semidirect
162. C2×C11×#41C23semidirect
165. C22×Q8×C11C23semidirect
182. C22×D4×C11C23semidirect
201. C11×AGL(1,ℤ/8)D4semidirect
204. C2×C11×Q16C23semidirect
205. C2×C11×Q16C23semidirect
206. C2×C11×Q16C23semidirect
214. C2×C11×SD16C23semidirect
215. C2×C11×SD16C23semidirect
216. C2×C11×SD16C23semidirect
231. C2×C11×M16C23semidirect
233. C22×C8×C11C23semidirect
235. C11×C4⋊Q8C23semidirect
237. C11×#127C23semidirect
244. C11×#124C23semidirect
245. C11×#124C23semidirect
266. C11×C22⋊Q8C23semidirect
267. C11×C22⋊Q8C23semidirect
288. C11×#121C23semidirect
289. C11×#121C23semidirect
300. C4×Q8×C11C23semidirect
301. C4×Q8×C11C23semidirect
326. C4×D4×C11C23semidirect
327. C4×D4×C11C23semidirect
349. C11×#107C23semidirect
350. C11×#106C23semidirect
351. C11×C4⋊C8C23semidirect
352. C11×C4⋊C8C23semidirect
353. C11×#103C23semidirect
354. C11×#103C23semidirect
355. C11×#103C23semidirect
356. C11×#103C23semidirect
357. C11×#103C23semidirect
362. C11×#102C23semidirect
363. C11×#102C23semidirect
364. C11×#102C23semidirect
367. C11×C22⋊C8C23semidirect
368. C11×C22⋊C8C23semidirect
369. C11×#97C23semidirect
370. C4×C8×C11C23semidirect
371. #61066C11direct (N × H)
467. C2×D4×C11C2×D4semidirect
522. C11×SD16C2×D4semidirect
528. C11×D8C2×D4semidirect
534. C11×M16C2×D4semidirect
599. C2×#575C2×C11semidirect
600. C22×AGL(1,ℤ/8)C2×C11semidirect
601. D4×#41C2×C11semidirect
602. C2×#546C2×C11semidirect
603. #3282C2×C11semidirect
604. #3280C2×C11semidirect
605. #3275C2×C11semidirect
606. #3273C2×C11semidirect
607. #3268C2×C11semidirect
608. #3267C2×C11semidirect
609. #3266C2×C11semidirect
610. #3264C2×C11semidirect
611. #3153C2×C11semidirect
612. #3056C2×C11semidirect
613. #3055C2×C11semidirect
614. #3040C2×C11semidirect
615. #3036C2×C11semidirect
616. #3007C2×C11semidirect
617. #3006C2×C11semidirect
618. #3005C2×C11semidirect
619. #3003C2×C11semidirect
620. C4×AGL(1,ℤ/8)C2×C11semidirect
621. D4×M16C2×C11semidirect
762. C22×#41C22×C11semidirect
763. C22×#41C22×C11semidirect
764. C23×D4C22×C11semidirect
766. C2×#137C22×C11semidirect
767. C2×#137C22×C11semidirect
768. C2×#137C22×C11semidirect
769. C2×#137C22×C11semidirect
773. C2×AGL(1,ℤ/8)C22×C11semidirect
774. C2×AGL(1,ℤ/8)C22×C11semidirect
775. C2×AGL(1,ℤ/8)C22×C11semidirect
776. C2×AGL(1,ℤ/8)C22×C11semidirect
777. C2×AGL(1,ℤ/8)C22×C11semidirect
778. C2×AGL(1,ℤ/8)C22×C11semidirect
779. C2×AGL(1,ℤ/8)C22×C11semidirect
780. C2×#135C22×C11semidirect
781. C2×#135C22×C11semidirect
782. C22×SD16C22×C11semidirect
783. C22×D8C22×C11semidirect
784. C22×M16C22×C11semidirect
785. C22×M16C22×C11semidirect
786. #550C22×C11semidirect
787. D4×Q8C22×C11semidirect
788. #548C22×C11semidirect
789. #548C22×C11semidirect
791. #547C22×C11semidirect
799. #546C22×C11semidirect
800. #546C22×C11semidirect
801. #546C22×C11semidirect
802. #546C22×C11semidirect
803. #546C22×C11semidirect
805. D42C22×C11semidirect
807. #532C22×C11semidirect
808. C2×#124C22×C11semidirect
812. #525C22×C11semidirect
814. C2×C22⋊Q8C22×C11semidirect
816. C2×#121C22×C11semidirect
818. C4×#41C22×C11semidirect
821. C2×C4×D4C22×C11semidirect
823. #497C22×C11semidirect
824. #496C22×C11semidirect
825. #495C22×C11semidirect
826. #495C22×C11semidirect
827. #470C22×C11semidirect
828. #469C22×C11semidirect
829. #468C22×C11semidirect
830. #468C22×C11semidirect
831. #467C22×C11semidirect
832. #466C22×C11semidirect
833. #465C22×C11semidirect
834. #465C22×C11semidirect
835. #464C22×C11semidirect
836. #464C22×C11semidirect
837. #463C22×C11semidirect
838. #463C22×C11semidirect
839. #463C22×C11semidirect
840. #463C22×C11semidirect
841. #461C22×C11semidirect
842. #459C22×C11semidirect
843. #452C22×C11semidirect
844. #452C22×C11semidirect
845. #452C22×C11semidirect
846. #452C22×C11semidirect
847. #451C22×C11semidirect
848. #450C22×C11semidirect
849. #450C22×C11semidirect
850. #450C22×C11semidirect
851. #449C22×C11semidirect
852. #449C22×C11semidirect
853. #449C22×C11semidirect
854. #449C22×C11semidirect
855. #448C22×C11semidirect
856. #447C22×C11semidirect
857. #447C22×C11semidirect
858. #447C22×C11semidirect
859. #442C22×C11semidirect
860. #440C22×C11semidirect
861. C4×SD16C22×C11semidirect
862. C4×D8C22×C11semidirect
863. #436C22×C11semidirect
864. #435C22×C11semidirect
865. #435C22×C11semidirect
866. C8×D4C22×C11semidirect
867. #428C22×C11semidirect
868. #423C22×C11semidirect
869. #419C22×C11semidirect
870. #418C22×C11semidirect
871. #418C22×C11semidirect
872. #417C22×C11semidirect
873. #417C22×C11semidirect
874. #417C22×C11semidirect
875. #407C22×C11semidirect
876. #407C22×C11semidirect
877. C4×M16C22×C11semidirect
915. C22×C11#575semidirect
955. C2×#41C23×C11semidirect
956. C2×#41C23×C11semidirect
959. C22×Q8C23×C11semidirect
976. C22×D4C23×C11semidirect
995. AGL(1,ℤ/8)D4×C11semidirect
998. C2×Q16C23×C11semidirect
999. C2×Q16C23×C11semidirect
1000. C2×Q16C23×C11semidirect
1008. C2×SD16C23×C11semidirect
1009. C2×SD16C23×C11semidirect
1010. C2×SD16C23×C11semidirect
1025. C2×M16C23×C11semidirect
1027. C22×C8C23×C11semidirect
1029. C4⋊Q8C23×C11semidirect
1031. #127C23×C11semidirect
1038. #124C23×C11semidirect
1039. #124C23×C11semidirect
1060. C22⋊Q8C23×C11semidirect
1061. C22⋊Q8C23×C11semidirect
1082. #121C23×C11semidirect
1083. #121C23×C11semidirect
1094. C4×Q8C23×C11semidirect
1095. C4×Q8C23×C11semidirect
1120. C4×D4C23×C11semidirect
1121. C4×D4C23×C11semidirect
1143. #107C23×C11semidirect
1144. #106C23×C11semidirect
1145. C4⋊C8C23×C11semidirect
1146. C4⋊C8C23×C11semidirect
1147. #103C23×C11semidirect
1148. #103C23×C11semidirect
1149. #103C23×C11semidirect
1150. #103C23×C11semidirect
1151. #103C23×C11semidirect
1156. #102C23×C11semidirect
1157. #102C23×C11semidirect
1158. #102C23×C11semidirect
1161. C22⋊C8C23×C11semidirect
1162. C22⋊C8C23×C11semidirect
1163. #97C23×C11semidirect
1164. C4×C8C23×C11semidirect
1273. C2×D4C2×D4×C11semidirect
1328. SD16C2×D4×C11semidirect
1334. D8C2×D4×C11semidirect
1340. M16C2×D4×C11semidirect
1405. C11#61066direct (N × H)
1582. C22C11×#575semidirect

Maximal subgroups

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

subgroupindex
C2×C11×#5752
C22×C11×AGL(1,ℤ/8)2
D4×C11×#412
C2×C11×#5462
C11×#32822
C11×#32802
C11×#32752
C11×#32732
C11×#32682
C11×#32672
C11×#32662
C11×#32642
C11×#31532
C11×#30562
C11×#30552
C11×#30402
C11×#30362
C11×#30072
C11×#30062
C11×#30052
C11×#30032
C4×C11×AGL(1,ℤ/8)2
D4×C11×M162
#6106611