Finite Group Databasebeta

← C11×#61068 #14638261

Subgroups — C11×#61068 #14638261

Order 2816.

2772 conjugacy classes of subgroups.

The subgroup lattice has 1580 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C11×#575C211yesmaximal, characteristic, complemented
2C22×C11×#137C211yesmaximal, characteristic, complemented
3D4×C11×#41C211yesmaximal, characteristic, complemented
4C2×C11×#548C211yesmaximal, characteristic, complemented
5C11×#3285C212yesmaximal, complemented
6C11×#3282C212yesmaximal, complemented
7C11×#3277C212yesmaximal, complemented
8C11×#3275C212yesmaximal, complemented
9C11×#3271C212yesmaximal, complemented
10C11×#3270C212yesmaximal, complemented
11C11×#3269C212yesmaximal, complemented
12C11×#3265C212yesmaximal, complemented
13C11×#3153C211yesmaximal, characteristic, complemented
14C11×#3056C211yesmaximal, characteristic, complemented
15C11×#3055C211yesmaximal, characteristic, complemented
16C11×#3040C211yesmaximal, characteristic, complemented
17C11×#3037C211yesmaximal, characteristic, complemented
18C11×#3007C211yesmaximal, characteristic, complemented
19C11×#3006C211yesmaximal, characteristic, complemented
20C11×#3005C211yesmaximal, characteristic, complemented
21C11×#3004C211yesmaximal, characteristic, complemented
22C4×C11×#137C211yesmaximal, characteristic, complemented
23D4×C11×M16C211yesmaximal, characteristic, complemented
24C22×C11×#41C2211yescharacteristic
25C22×C11×#41C2211yescharacteristic
26C22×C11×#41C2211yescharacteristic, complemented
27C23×Q8×C11C2211yescharacteristic, complemented
28C11×#575—28no—
29C2×C11×#137—28no—
30C2×C11×#137C2211yescharacteristic
31C2×C11×#137C2211yescharacteristic
32C2×C11×#137C2211yescharacteristic, complemented
33C2×C11×#137C2211yescharacteristic, complemented
34C2×C11×#137C2211yescharacteristic, complemented
35C2×C11×#137C2212yescomplemented
36C2×C11×#137C2212yescomplemented
37C2×C11×#137C2212yescomplemented
38C2×C11×#137C2211yescharacteristic, complemented
39C2×C11×AGL(1,ℤ/8)C2211yescharacteristic
40C2×C11×AGL(1,ℤ/8)C2211yescharacteristic, complemented
41C2×C11×AGL(1,ℤ/8)C2212yescomplemented
42C2×C11×AGL(1,ℤ/8)C2211yescharacteristic, complemented
43C2×C11×#135C2212yescomplemented
44C2×C11×#135C2212yescomplemented
45C22×C11×Q16C2212yescomplemented
46C22×C11×SD16C2212yescomplemented
47C22×C11×M16C2211yescharacteristic, complemented
48C22×C11×M16C2211yescharacteristic, complemented
49C11×#550C2211yescharacteristic, complemented
50D4×Q8×C11C2211yescharacteristic, complemented
51C11×#548—21no—
52C11×#548—21no—
53C11×#548—21no—
54C11×#548—21no—
55C11×#548C2212yes—
56C11×#548C2212yescomplemented
57C11×#548C2212yescomplemented
58C11×#548C2212yescomplemented
59C11×#548C2211yescharacteristic, complemented
60C11×#548C2211yescharacteristic, complemented
61C11×#547—21no—
62C11×#547C2211yescharacteristic, complemented
63C11×#546—21no—
64C11×#546—21no—
65C11×#546C2211yescharacteristic, complemented
66C11×#546C2211yescharacteristic, complemented
67D42×C11—21no—
68D42×C11C2211yescharacteristic, complemented
69C11×#532—21no—
70C11×#532C2211yescharacteristic
71C2×C11×#124—21no—
72C2×C11×#124C2211yescharacteristic, complemented
73C11×#525—21no—
74C11×#525—21no—
75C11×#525C2211yescharacteristic
76C11×#525C2211yescharacteristic
77C2×C11×C22⋊Q8—21no—
78C2×C11×C22⋊Q8C2211yescharacteristic, complemented
79C2×C11×#121—21no—
80C2×C11×#121C2211yescharacteristic, complemented
81C4×C11×#41C2211yescharacteristic
82C2×C4×Q8×C11C2211yescharacteristic, complemented
83C2×C4×D4×C11—21no—
84C2×C4×D4×C11—21no—
85C2×C4×D4×C11C2211yescharacteristic
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×#464C2212yescomplemented
101C11×#464C2212yescomplemented
102C11×#463C2212yescomplemented
103C11×#463C2212yescomplemented
104C11×#462C2212yescomplemented
105C11×#460C2212yescomplemented
106C11×#452C2212yescomplemented
107C11×#452C2212yescomplemented
108C11×#452C2212yescomplemented
109C11×#452C2212yescomplemented
110C11×#451C2212yescomplemented
111C11×#451C2212yescomplemented
112C11×#451C2212yescomplemented
113C11×#450C2212yescomplemented
114C11×#449C2212yescomplemented
115C11×#449C2212yescomplemented
116C11×#449C2212yescomplemented
117C11×#449C2212yescomplemented
118C11×#448C2212yescomplemented
119C11×#448C2212yescomplemented
120C11×#448C2212yescomplemented
121C11×#447C2212yescomplemented
122C11×#441C2212yescomplemented
123C11×#440C2212yescomplemented
124C4×C11×Q16C2212yescomplemented
125C4×C11×SD16C2212yescomplemented
126C11×#436C2212yescomplemented
127C11×#435C2212yescomplemented
128C11×#435C2212yescomplemented
129C8×D4×C11C2212yescomplemented
130C11×#428C2211yescharacteristic, complemented
131C11×#423C2211yescharacteristic, complemented
132C11×#419C2211yescharacteristic, complemented
133C11×#419C2211yescharacteristic, complemented
134C11×#418C2211yescharacteristic, complemented
135C11×#417C2211yescharacteristic
136C11×#417C2211yescharacteristic, complemented
137C11×#417C2211yescharacteristic, complemented
138C11×#407C2211yescharacteristic, complemented
139C11×#407C2211yescharacteristic, complemented
140C4×C11×M16C2211yescharacteristic, complemented
141C2×C11×#41—21no—
142C2×C11×#41—21no—
143C2×C11×#41—21no—
144C2×C11×#41—21no—
145C2×C11×#41—21no—
146C2×C11×#41—21no—
147C2×C11×#41—24no—
148C2×C11×#41—24no—
149C2×C11×#41—24no—
150C2×C11×#41—42no—
151C2×C11×#41—42no—
152C2×C11×#41—42no—
153C2×C11×#41C2311yescharacteristic
154C2×C11×#41C2311yescharacteristic
155C2×C11×#41C2311yescharacteristic
156C2×C11×#41C2311yescharacteristic
157C2×C11×#41C2312yes—
158C2×C11×#41C2312yes—
159C2×C11×#41C2311yescharacteristic
160C2×C11×#41C2311yescharacteristic
161C2×C11×#41C2311yescharacteristic
162C22×Q8×C11—21no—
163C22×Q8×C11—21no—
164C22×Q8×C11—21no—
165C22×Q8×C11—24no—
166C22×Q8×C11—42no—
167C22×Q8×C11C2311yescharacteristic
168C22×Q8×C11C2312yes—
169C22×Q8×C11C2312yes—
170C22×Q8×C11C2311yescharacteristic
171C22×Q8×C11C2311yescharacteristic
172C22×Q8×C11C2311yescharacteristic
173C22×D4×C11—21no—
174C22×D4×C11—21no—
175C22×D4×C11—21no—
176C22×D4×C11—21no—
177C22×D4×C11—21no—
178C22×D4×C11D411yescharacteristic
179C22×D4×C11C2311yescharacteristic
180C22×D4×C11C2311yescharacteristic
181C22×D4×C11C2311yescharacteristic
182C23×C4×C11—21no—
183C23×C4×C11—21no—
184C23×C4×C11—21no—
185C23×C4×C11—21no—
186C23×C4×C11C2311yescharacteristic
187C23×C4×C11C2311yescharacteristic
188C11×#137—24no—
189C11×#137—24no—
190C11×#137—24no—
191C11×#137—28no—
192C11×#137—28no—
193C11×#137—28no—
194C11×#137—24no—
195C11×#137—42no—
196C11×#137D418yescomplemented
197C11×AGL(1,ℤ/8)—24no—
198C11×AGL(1,ℤ/8)—28no—
199C11×AGL(1,ℤ/8)—24no—
200C11×AGL(1,ℤ/8)—42no—
201C11×#135—28no—
202C11×#135—28no—
203C2×C11×Q16—28no—
204C2×C11×Q16C2312yes—
205C2×C11×Q16C2312yes—
206C2×C11×Q16C2312yes—
207C2×C11×Q16C2312yes—
208C2×C11×Q16C2312yes—
209C2×C11×Q16C2312yes—
210C2×C11×SD16—28no—
211C2×C11×SD16C2312yes—
212C2×C11×SD16C2312yes—
213C2×C11×SD16C2312yes—
214C2×C11×SD16C2312yes—
215C2×C11×SD16C2312yes—
216C2×C11×SD16C2312yes—
217C2×C11×SD16C2312yes—
218C2×C11×SD16C2312yes—
219C2×C11×SD16C2312yes—
220C2×C11×D8C2312yes—
221C2×C11×D8C2312yes—
222C2×C11×D8C2312yes—
223C2×C11×M16—24no—
224C2×C11×M16—24no—
225C2×C11×M16C2311yescharacteristic
226C2×C11×M16C2311yescharacteristic
227C2×C11×M16C2311yescharacteristic
228C2×C11×M16C2312yes—
229C2×C11×M16C2312yes—
230C2×C11×M16C2311yescharacteristic
231C22×C8×C11C2312yes—
232C22×C8×C11C2312yes—
233C11×C4⋊Q8—21no—
234C11×C4⋊Q8C2311yescharacteristic
235C11×#127—21no—
236C11×#127C2311yescharacteristic
237C11×#124—22no—
238C11×#124—22no—
239C11×#124—22no—
240C11×#124—22no—
241C11×#124—21no—
242C11×#124—21no—
243C11×#124—21no—
244C11×#124—21no—
245C11×#124C2312yes—
246C11×#124C2311yescharacteristic
247C11×#124C2311yescharacteristic
248C11×#124C2312yes—
249C11×#123—21no—
250C11×#123—21no—
251C11×#123—21no—
252C11×#123—21no—
253C11×#123—21no—
254C11×#123—21no—
255C11×C22⋊Q8—21no—
256C11×C22⋊Q8—21no—
257C11×C22⋊Q8—22no—
258C11×C22⋊Q8—22no—
259C11×C22⋊Q8—22no—
260C11×C22⋊Q8—22no—
261C11×C22⋊Q8—21no—
262C11×C22⋊Q8—21no—
263C11×C22⋊Q8—21no—
264C11×C22⋊Q8—21no—
265C11×C22⋊Q8C2312yes—
266C11×C22⋊Q8C2312yes—
267C11×C22⋊Q8C2311yescharacteristic
268C11×C22⋊Q8C2311yescharacteristic
269C11×C22⋊Q8C2311yescharacteristic
270C11×C22⋊Q8C2311yescharacteristic
271C11×#121—22no—
272C11×#121—22no—
273C11×#121—22no—
274C11×#121—22no—
275C11×#121—21no—
276C11×#121—21no—
277C11×#121—21no—
278C11×#121—21no—
279C11×#121—21no—
280C11×#121—21no—
281C11×#121—21no—
282C11×#121—21no—
283C11×#121—21no—
284C11×#121—21no—
285C11×#121—21no—
286C11×#121—21no—
287C11×#121C2312yes—
288C11×#121C2312yes—
289C11×#121C2311yescharacteristic
290C11×#121C2311yescharacteristic
291C11×#121C2311yescharacteristic
292C11×#121C2311yescharacteristic
293C11×#120—21no—
294C11×#120—21no—
295C11×#120—21no—
296C11×#120—21no—
297C11×#120—21no—
298C11×#120—21no—
299C4×Q8×C11—21no—
300C4×Q8×C11—21no—
301C4×Q8×C11C2312yes—
302C4×Q8×C11C2312yes—
303C4×Q8×C11C2311yescharacteristic
304C4×Q8×C11C2311yescharacteristic
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—22no—
316C4×D4×C11—22no—
317C4×D4×C11—22no—
318C4×D4×C11—22no—
319C4×D4×C11—21no—
320C4×D4×C11—21no—
321C4×D4×C11D411yescharacteristic
322C4×D4×C11D411yescharacteristic
323C4×D4×C11D411yescharacteristic
324C4×D4×C11D411yescharacteristic
325C4×D4×C11C2311yescharacteristic
326C4×D4×C11C2311yescharacteristic
327C4×D4×C11C2311yescharacteristic
328C4×D4×C11C2311yescharacteristic
329C4×D4×C11C2311yescharacteristic
330C4×D4×C11C2311yescharacteristic
331C11×#117—21no—
332C11×#117C2311yescharacteristic
333C2×C11×C4⋊C4—21no—
334C2×C11×C4⋊C4—21no—
335C2×C11×C4⋊C4—21no—
336C2×C11×C4⋊C4D411yescharacteristic
337C2×C11×C4⋊C4C2311yescharacteristic
338C2×C11×C22⋊C4—21no—
339C2×C11×C22⋊C4—21no—
340C2×C11×C22⋊C4—21no—
341C2×C11×C22⋊C4—21no—
342C2×C11×C22⋊C4—21no—
343C2×C11×C22⋊C4—21no—
344C2×C11×C22⋊C4D411yescharacteristic
345C2×C11×C22⋊C4D411yescharacteristic
346C2×C42×C11—21no—
347C2×C42×C11—21no—
348C2×C42×C11C2311yescharacteristic
349C11×#107C2312yes—
350C11×#106C2312yes—
351C11×C4⋊C8C2312yes—
352C11×C4⋊C8C2312yes—
353C11×#103C2312yes—
354C11×#103C2312yes—
355C11×#103C2312yes—
356C11×#103C2312yes—
357C11×#103C2312yes—
358C11×#103C2312yes—
359C11×#103C2312yes—
360C11×#102C2312yes—
361C11×#102C2312yes—
362C11×#102C2312yes—
363C11×#102C2312yes—
364C11×#102C2312yes—
365C11×C22⋊C8C2312yes—
366C11×C22⋊C8C2312yes—
367C11×C22⋊C8C2312yes—
368C11×C22⋊C8C2312yes—
369C11×#97C2312yes—
370C4×C8×C11C2312yes—
371#61068C1111yesmaximal, characteristic, direct product factor, Sylow
372C24×C11—21no—
373C24×C11—21no—
374C24×C11—21no—
375C24×C11C2×D411yescharacteristic
376C24×C11C2×D411yescharacteristic
377C11×#41—22no—
378C11×#41—24no—
379C11×#41—22no—
380C11×#41—24no—
381C11×#41—22no—
382C11×#41—22no—
383C11×#41—22no—
384C11×#41—22no—
385C11×#41—22no—
386C11×#41—22no—
387C11×#41—22no—
388C11×#41—44no—
389C11×#41—44no—
390C11×#41—42no—
391C11×#41—41no—
392C11×#41—41no—
393C11×#41—42no—
394C11×#41—41no—
395C11×#41—41no—
396C11×#41—44no—
397C11×#41—44no—
398C11×#41—44no—
399C11×#41—44no—
400C11×#41C2×D414yes—
401C2×Q8×C11—21no—
402C2×Q8×C11—22no—
403C2×Q8×C11—22no—
404C2×Q8×C11—21no—
405C2×Q8×C11—21no—
406C2×Q8×C11—21no—
407C2×Q8×C11—22no—
408C2×Q8×C11—24no—
409C2×Q8×C11—22no—
410C2×Q8×C11—24no—
411C2×Q8×C11—22no—
412C2×Q8×C11—22no—
413C2×Q8×C11—22no—
414C2×Q8×C11—44no—
415C2×Q8×C11—42no—
416C2×Q8×C11—42no—
417C2×Q8×C11—41no—
418C2×Q8×C11—41no—
419C2×Q8×C11—44no—
420C2×Q8×C11—44no—
421C2×Q8×C11C2×D414yescomplemented
422C2×Q8×C11C2412yes—
423C2×Q8×C11C2411yescharacteristic
424C2×Q8×C11C2411yescharacteristic
425C2×Q8×C11C2412yes—
426C2×Q8×C11C2411yescharacteristic
427C2×D4×C11—21no—
428C2×D4×C11—22no—
429C2×D4×C11—22no—
430C2×D4×C11—21no—
431C2×D4×C11—21no—
432C2×D4×C11—22no—
433C2×D4×C11—22no—
434C2×D4×C11—21no—
435C2×D4×C11—21no—
436C2×D4×C11—21no—
437C2×D4×C11—21no—
438C2×D4×C11—22no—
439C2×D4×C11—22no—
440C2×D4×C11—21no—
441C2×D4×C11—21no—
442C2×D4×C11—21no—
443C2×D4×C11—21no—
444C2×D4×C11—22no—
445C2×D4×C11—21no—
446C2×D4×C11—21no—
447C2×D4×C11—21no—
448C2×D4×C11—21no—
449C2×D4×C11—21no—
450C2×D4×C11—22no—
451C2×D4×C11—41no—
452C2×D4×C11—41no—
453C2×D4×C11—44no—
454C2×D4×C11—42no—
455C2×D4×C11—44no—
456C2×D4×C11—44no—
457C2×D4×C11—44no—
458C2×D4×C11—44no—
459C2×D4×C11C2×D411yescharacteristic
460C2×D4×C11C2×D411yescharacteristic
461C2×D4×C11C2×D411yescharacteristic
462C2×D4×C11C2×D411yescharacteristic
463C2×D4×C11C2412yes—
464C2×D4×C11C2411yescharacteristic
465C2×D4×C11C2411yescharacteristic
466C2×D4×C11C2411yescharacteristic
467C22×C4×C11—21no—
468C22×C4×C11—21no—
469C22×C4×C11—22no—
470C22×C4×C11—22no—
471C22×C4×C11—22no—
472C22×C4×C11—22no—
473C22×C4×C11—21no—
474C22×C4×C11—21no—
475C22×C4×C11—22no—
476C22×C4×C11—22no—
477C22×C4×C11—21no—
478C22×C4×C11—21no—
479C22×C4×C11—21no—
480C22×C4×C11—21no—
481C22×C4×C11—21no—
482C22×C4×C11—21no—
483C22×C4×C11—21no—
484C22×C4×C11—21no—
485C22×C4×C11—21no—
486C22×C4×C11—22no—
487C22×C4×C11—22no—
488C22×C4×C11—21no—
489C22×C4×C11—44no—
490C22×C4×C11—44no—
491C22×C4×C11—44no—
492C22×C4×C11—44no—
493C22×C4×C11C2×D411yescharacteristic
494C22×C4×C11C2×D411yescharacteristic
495C22×C4×C11C2×D411yescharacteristic
496C22×C4×C11C2×D411yescharacteristic
497C22×C4×C11C2×D411yescharacteristic
498C22×C4×C11C2×D411yescharacteristic
499C22×C4×C11C2×D411yescharacteristic
500C22×C4×C11C2×D411yescharacteristic
501C22×C4×C11C2411yescharacteristic
502C22×C4×C11C2411yescharacteristic
503C22×C4×C11C2411yescharacteristic
504C22×C4×C11C2411yescharacteristic
505C22×C4×C11C2411yescharacteristic
506C11×Q16—24no—
507C11×Q16—24no—
508C11×Q16—24no—
509C11×Q16—24no—
510C11×Q16—42no—
511C11×Q16C2×D418yescomplemented
512C11×SD16—24no—
513C11×SD16—24no—
514C11×SD16—24no—
515C11×SD16—24no—
516C11×SD16—24no—
517C11×SD16—24no—
518C11×SD16—42no—
519C11×SD16—42no—
520C11×SD16C2×D418yescomplemented
521C11×D8—24no—
522C11×D8—24no—
523C11×D8—42no—
524C11×M16—24no—
525C11×M16—24no—
526C11×M16—22no—
527C11×M16—22no—
528C11×M16—22no—
529C11×M16C2×D414yescomplemented
530C2×C8×C11—24no—
531C2×C8×C11—24no—
532C2×C8×C11C2412yes—
533C2×C8×C11C2412yes—
534C2×C8×C11C2412yes—
535C2×C8×C11C2412yes—
536C11×C4⋊C4—21no—
537C11×C4⋊C4—22no—
538C11×C4⋊C4—22no—
539C11×C4⋊C4—21no—
540C11×C4⋊C4—21no—
541C11×C4⋊C4—22no—
542C11×C4⋊C4—22no—
543C11×C4⋊C4—21no—
544C11×C4⋊C4—21no—
545C11×C4⋊C4—21no—
546C11×C4⋊C4—21no—
547C11×C4⋊C4—21no—
548C11×C4⋊C4—21no—
549C11×C4⋊C4C2×D411yescharacteristic
550C11×C4⋊C4C2×D411yescharacteristic
551C11×C4⋊C4C2×D411yescharacteristic
552C11×C4⋊C4C2×D411yescharacteristic
553C11×C4⋊C4C2412yes—
554C11×C4⋊C4C2411yescharacteristic
555C11×C4⋊C4C2411yescharacteristic
556C11×C22⋊C4—21no—
557C11×C22⋊C4—21no—
558C11×C22⋊C4—22no—
559C11×C22⋊C4—22no—
560C11×C22⋊C4—21no—
561C11×C22⋊C4—21no—
562C11×C22⋊C4—21no—
563C11×C22⋊C4—21no—
564C11×C22⋊C4—21no—
565C11×C22⋊C4—21no—
566C11×C22⋊C4—21no—
567C11×C22⋊C4—22no—
568C11×C22⋊C4—22no—
569C11×C22⋊C4—22no—
570C11×C22⋊C4—22no—
571C11×C22⋊C4—22no—
572C11×C22⋊C4—22no—
573C11×C22⋊C4—21no—
574C11×C22⋊C4—21no—
575C11×C22⋊C4—21no—
576C11×C22⋊C4—21no—
577C11×C22⋊C4—21no—
578C11×C22⋊C4—21no—
579C11×C22⋊C4C2×D411yescharacteristic
580C11×C22⋊C4C2×D411yescharacteristic
581C11×C22⋊C4C2×D411yescharacteristic
582C11×C22⋊C4C2×D411yescharacteristic
583C11×C22⋊C4C2×D411yescharacteristic
584C11×C22⋊C4C2×D411yescharacteristic
585C11×C22⋊C4C2×D411yescharacteristic
586C11×C22⋊C4C2×D411yescharacteristic
587C42×C11—21no—
588C42×C11—21no—
589C42×C11—21no—
590C42×C11—22no—
591C42×C11—22no—
592C42×C11C2×D411yescharacteristic
593C42×C11C2×D411yescharacteristic
594C42×C11C2411yescharacteristic
595C42×C11C2411yescharacteristic
596C2×#575C2×C1111yescharacteristic, complemented
597C22×#137C2×C1111yescharacteristic, complemented
598D4×#41C2×C1111yescharacteristic, complemented
599C2×#548C2×C1111yescharacteristic, complemented
600#3285C2×C1112yescomplemented
601#3282C2×C1112yescomplemented
602#3277C2×C1112yescomplemented
603#3275C2×C1112yescomplemented
604#3271C2×C1112yescomplemented
605#3270C2×C1112yescomplemented
606#3269C2×C1112yescomplemented
607#3265C2×C1112yescomplemented
608#3153C2×C1111yescharacteristic, complemented
609#3056C2×C1111yescharacteristic, complemented
610#3055C2×C1111yescharacteristic, complemented
611#3040C2×C1111yescharacteristic, complemented
612#3037C2×C1111yescharacteristic, complemented
613#3007C2×C1111yescharacteristic, complemented
614#3006C2×C1111yescharacteristic, complemented
615#3005C2×C1111yescharacteristic, complemented
616#3004C2×C1111yescharacteristic, complemented
617C4×#137C2×C1111yescharacteristic, complemented
618D4×M16C2×C1111yescharacteristic, complemented
619C23×C11—22no—
620C23×C11—22no—
621C23×C11—21no—
622C23×C11—22no—
623C23×C11—22no—
624C23×C11—21no—
625C23×C11—21no—
626C23×C11—41no—
627C23×C11—41no—
628C23×C11—41no—
629C23×C11—42no—
630C23×C11—42no—
631C23×C11—42no—
632C23×C11—42no—
633C23×C11—42no—
634C23×C11—42no—
635C23×C11—42no—
636C23×C11—81no—
637C23×C11—81no—
638C23×C11C22×D411yescharacteristic
639C23×C11C22×D411yescharacteristic
640C23×C11C22×D411yescharacteristic
641C23×C11C22×D411yescharacteristic
642C23×C11C22×D411yescharacteristic
643Q8×C11—24no—
644Q8×C11—22no—
645Q8×C11—21no—
646Q8×C11—22no—
647Q8×C11—21no—
648Q8×C11—21no—
649Q8×C11—21no—
650Q8×C11—22no—
651Q8×C11—21no—
652Q8×C11—44no—
653Q8×C11—44no—
654Q8×C11—42no—
655Q8×C11—42no—
656Q8×C11—42no—
657Q8×C11C22×D414yes—
658Q8×C11C22×D412yes—
659D4×C11—24no—
660D4×C11—22no—
661D4×C11—22no—
662D4×C11—21no—
663D4×C11—22no—
664D4×C11—21no—
665D4×C11—21no—
666D4×C11—21no—
667D4×C11—22no—
668D4×C11—21no—
669D4×C11—41no—
670D4×C11—41no—
671D4×C11—42no—
672D4×C11—42no—
673D4×C11—42no—
674D4×C11—42no—
675D4×C11—44no—
676D4×C11—44no—
677D4×C11—42no—
678D4×C11—42no—
679D4×C11—42no—
680D4×C11—42no—
681D4×C11—44no—
682D4×C11—42no—
683D4×C11—42no—
684D4×C11—42no—
685D4×C11—44no—
686D4×C11—42no—
687D4×C11—81no—
688D4×C11—81no—
689D4×C11—81no—
690D4×C11C22×D412yes—
691C2×C4×C11—22no—
692C2×C4×C11—22no—
693C2×C4×C11—24no—
694C2×C4×C11—21no—
695C2×C4×C11—22no—
696C2×C4×C11—22no—
697C2×C4×C11—22no—
698C2×C4×C11—22no—
699C2×C4×C11—22no—
700C2×C4×C11—24no—
701C2×C4×C11—21no—
702C2×C4×C11—21no—
703C2×C4×C11—21no—
704C2×C4×C11—21no—
705C2×C4×C11—21no—
706C2×C4×C11—21no—
707C2×C4×C11—21no—
708C2×C4×C11—21no—
709C2×C4×C11—21no—
710C2×C4×C11—21no—
711C2×C4×C11—22no—
712C2×C4×C11—22no—
713C2×C4×C11—21no—
714C2×C4×C11—21no—
715C2×C4×C11—41no—
716C2×C4×C11—41no—
717C2×C4×C11—42no—
718C2×C4×C11—44no—
719C2×C4×C11—44no—
720C2×C4×C11—42no—
721C2×C4×C11—42no—
722C2×C4×C11—42no—
723C2×C4×C11—44no—
724C2×C4×C11—44no—
725C2×C4×C11—42no—
726C2×C4×C11—42no—
727C2×C4×C11—42no—
728C2×C4×C11—42no—
729C2×C4×C11—42no—
730C2×C4×C11—42no—
731C2×C4×C11—42no—
732C2×C4×C11—81no—
733C2×C4×C11C22×D411yescharacteristic
734C2×C4×C11C22×D411yescharacteristic
735C2×C4×C11C22×D411yescharacteristic
736C2×C4×C11C22×D411yescharacteristic
737C2×C4×C11C22×D411yescharacteristic
738C2×C4×C11C22×D411yescharacteristic
739C2×C4×C11C22×D411yescharacteristic
740C2×C4×C11C22×D411yescharacteristic
741C2×C4×C11C22×D411yescharacteristic
742C2×C4×C11C22×D412yes—
743C2×C4×C11H(5,𝔽2)12yes—
744C2×C4×C11C2511yescharacteristic
745C8×C11—22no—
746C8×C11—22no—
747C8×C11—22no—
748C8×C11C22×D414yes—
749C22×#41C22×C1111yescharacteristic
750C22×#41C22×C1111yescharacteristic
751C22×#41C22×C1111yescharacteristic, complemented
752C23×Q8C22×C1111yescharacteristic, complemented
753#575—28no—
754C2×#137—28no—
755C2×#137C22×C1111yescharacteristic
756C2×#137C22×C1111yescharacteristic
757C2×#137C22×C1111yescharacteristic, complemented
758C2×#137C22×C1111yescharacteristic, complemented
759C2×#137C22×C1111yescharacteristic, complemented
760C2×#137C22×C1112yescomplemented
761C2×#137C22×C1112yescomplemented
762C2×#137C22×C1112yescomplemented
763C2×#137C22×C1111yescharacteristic, complemented
764C2×AGL(1,ℤ/8)C22×C1111yescharacteristic
765C2×AGL(1,ℤ/8)C22×C1111yescharacteristic, complemented
766C2×AGL(1,ℤ/8)C22×C1112yescomplemented
767C2×AGL(1,ℤ/8)C22×C1111yescharacteristic, complemented
768C2×#135C22×C1112yescomplemented
769C2×#135C22×C1112yescomplemented
770C22×Q16C22×C1112yescomplemented
771C22×SD16C22×C1112yescomplemented
772C22×M16C22×C1111yescharacteristic, complemented
773C22×M16C22×C1111yescharacteristic, complemented
774#550C22×C1111yescharacteristic, complemented
775D4×Q8C22×C1111yescharacteristic, complemented
776#548—21no—
777#548—21no—
778#548—21no—
779#548—21no—
780#548C22×C1112yes—
781#548C22×C1112yescomplemented
782#548C22×C1112yescomplemented
783#548C22×C1112yescomplemented
784#548C22×C1111yescharacteristic, complemented
785#548C22×C1111yescharacteristic, complemented
786#547—21no—
787#547C22×C1111yescharacteristic, complemented
788#546—21no—
789#546—21no—
790#546C22×C1111yescharacteristic, complemented
791#546C22×C1111yescharacteristic, complemented
792D42—21no—
793D42C22×C1111yescharacteristic, complemented
794#532—21no—
795#532C22×C1111yescharacteristic
796C2×#124—21no—
797C2×#124C22×C1111yescharacteristic, complemented
798#525—21no—
799#525—21no—
800#525C22×C1111yescharacteristic
801#525C22×C1111yescharacteristic
802C2×C22⋊Q8—21no—
803C2×C22⋊Q8C22×C1111yescharacteristic, complemented
804C2×#121—21no—
805C2×#121C22×C1111yescharacteristic, complemented
806C4×#41C22×C1111yescharacteristic
807C2×C4×Q8C22×C1111yescharacteristic, complemented
808C2×C4×D4—21no—
809C2×C4×D4—21no—
810C2×C4×D4C22×C1111yescharacteristic
811#497C22×C1112yescomplemented
812#496C22×C1112yescomplemented
813#495C22×C1112yescomplemented
814#495C22×C1112yescomplemented
815#470C22×C1112yescomplemented
816#469C22×C1112yescomplemented
817#468C22×C1112yescomplemented
818#468C22×C1112yescomplemented
819#467C22×C1112yescomplemented
820#466C22×C1112yescomplemented
821#465C22×C1112yescomplemented
822#465C22×C1112yescomplemented
823#464C22×C1112yescomplemented
824#464C22×C1112yescomplemented
825#464C22×C1112yescomplemented
826#464C22×C1112yescomplemented
827#463C22×C1112yescomplemented
828#463C22×C1112yescomplemented
829#462C22×C1112yescomplemented
830#460C22×C1112yescomplemented
831#452C22×C1112yescomplemented
832#452C22×C1112yescomplemented
833#452C22×C1112yescomplemented
834#452C22×C1112yescomplemented
835#451C22×C1112yescomplemented
836#451C22×C1112yescomplemented
837#451C22×C1112yescomplemented
838#450C22×C1112yescomplemented
839#449C22×C1112yescomplemented
840#449C22×C1112yescomplemented
841#449C22×C1112yescomplemented
842#449C22×C1112yescomplemented
843#448C22×C1112yescomplemented
844#448C22×C1112yescomplemented
845#448C22×C1112yescomplemented
846#447C22×C1112yescomplemented
847#441C22×C1112yescomplemented
848#440C22×C1112yescomplemented
849C4×Q16C22×C1112yescomplemented
850C4×SD16C22×C1112yescomplemented
851#436C22×C1112yescomplemented
852#435C22×C1112yescomplemented
853#435C22×C1112yescomplemented
854C8×D4C22×C1112yescomplemented
855#428C22×C1111yescharacteristic, complemented
856#423C22×C1111yescharacteristic, complemented
857#419C22×C1111yescharacteristic, complemented
858#419C22×C1111yescharacteristic, complemented
859#418C22×C1111yescharacteristic, complemented
860#417C22×C1111yescharacteristic
861#417C22×C1111yescharacteristic, complemented
862#417C22×C1111yescharacteristic, complemented
863#407C22×C1111yescharacteristic, complemented
864#407C22×C1111yescharacteristic, complemented
865C4×M16C22×C1111yescharacteristic, complemented
866C22×C11—21no—
867C22×C11—21no—
868C22×C11—21no—
869C22×C11—21no—
870C22×C11—21no—
871C22×C11—21no—
872C22×C11—21no—
873C22×C11—21no—
874C22×C11—21no—
875C22×C11—21no—
876C22×C11—22no—
877C22×C11—21no—
878C22×C11—21no—
879C22×C11—21no—
880C22×C11—44no—
881C22×C11—41no—
882C22×C11—41no—
883C22×C11—41no—
884C22×C11—41no—
885C22×C11—42no—
886C22×C11—42no—
887C22×C11—41no—
888C22×C11—41no—
889C22×C11—41no—
890C22×C11—41no—
891C22×C11—42no—
892C22×C11—82no—
893C22×C11—84no—
894C22×C11—84no—
895C22×C11—84no—
896C22×C11D4212yes—
897C22×C11#57512yescomplemented
898C22×C11C23×D411yescharacteristic
899C4×C11—21no—
900C4×C11—21no—
901C4×C11—21no—
902C4×C11—21no—
903C4×C11—21no—
904C4×C11—21no—
905C4×C11—22no—
906C4×C11—24no—
907C4×C11—21no—
908C4×C11—21no—
909C4×C11—41no—
910C4×C11—41no—
911C4×C11—41no—
912C4×C11—42no—
913C4×C11—41no—
914C4×C11—42no—
915C4×C11D4212yes—
916C4×C11C23×D411yescharacteristic
917C4×C11C2×H(5,𝔽2)11yescharacteristic
918C2×#41—21no—
919C2×#41—21no—
920C2×#41—21no—
921C2×#41—21no—
922C2×#41—21no—
923C2×#41—21no—
924C2×#41—24no—
925C2×#41—24no—
926C2×#41—24no—
927C2×#41—42no—
928C2×#41—42no—
929C2×#41—42no—
930C2×#41C23×C1111yescharacteristic
931C2×#41C23×C1111yescharacteristic
932C2×#41C23×C1111yescharacteristic
933C2×#41C23×C1111yescharacteristic
934C2×#41C23×C1112yes—
935C2×#41C23×C1112yes—
936C2×#41C23×C1111yescharacteristic
937C2×#41C23×C1111yescharacteristic
938C2×#41C23×C1111yescharacteristic
939C22×Q8—21no—
940C22×Q8—21no—
941C22×Q8—21no—
942C22×Q8—24no—
943C22×Q8—42no—
944C22×Q8C23×C1111yescharacteristic
945C22×Q8C23×C1112yes—
946C22×Q8C23×C1112yes—
947C22×Q8C23×C1111yescharacteristic
948C22×Q8C23×C1111yescharacteristic
949C22×Q8C23×C1111yescharacteristic
950C22×D4—21no—
951C22×D4—21no—
952C22×D4—21no—
953C22×D4—21no—
954C22×D4—21no—
955C22×D4D4×C1111yescharacteristic
956C22×D4C23×C1111yescharacteristic
957C22×D4C23×C1111yescharacteristic
958C22×D4C23×C1111yescharacteristic
959C23×C4—21no—
960C23×C4—21no—
961C23×C4—21no—
962C23×C4—21no—
963C23×C4C23×C1111yescharacteristic
964C23×C4C23×C1111yescharacteristic
965#137—24no—
966#137—24no—
967#137—24no—
968#137—28no—
969#137—28no—
970#137—28no—
971#137—24no—
972#137—42no—
973#137D4×C1118yescomplemented
974AGL(1,ℤ/8)—24no—
975AGL(1,ℤ/8)—28no—
976AGL(1,ℤ/8)—24no—
977AGL(1,ℤ/8)—42no—
978#135—28no—
979#135—28no—
980C2×Q16—28no—
981C2×Q16C23×C1112yes—
982C2×Q16C23×C1112yes—
983C2×Q16C23×C1112yes—
984C2×Q16C23×C1112yes—
985C2×Q16C23×C1112yes—
986C2×Q16C23×C1112yes—
987C2×SD16—28no—
988C2×SD16C23×C1112yes—
989C2×SD16C23×C1112yes—
990C2×SD16C23×C1112yes—
991C2×SD16C23×C1112yes—
992C2×SD16C23×C1112yes—
993C2×SD16C23×C1112yes—
994C2×SD16C23×C1112yes—
995C2×SD16C23×C1112yes—
996C2×SD16C23×C1112yes—
997C2×D8C23×C1112yes—
998C2×D8C23×C1112yes—
999C2×D8C23×C1112yes—
1000C2×M16—24no—
1001C2×M16—24no—
1002C2×M16C23×C1111yescharacteristic
1003C2×M16C23×C1112yes—
1004C2×M16C23×C1111yescharacteristic
1005C2×M16C23×C1112yes—
1006C2×M16C23×C1111yescharacteristic
1007C2×M16C23×C1111yescharacteristic
1008C22×C8C23×C1112yes—
1009C22×C8C23×C1112yes—
1010C4⋊Q8—21no—
1011C4⋊Q8C23×C1111yescharacteristic
1012#127—21no—
1013#127C23×C1111yescharacteristic
1014#124—22no—
1015#124—22no—
1016#124—22no—
1017#124—22no—
1018#124—21no—
1019#124—21no—
1020#124—21no—
1021#124—21no—
1022#124C23×C1112yes—
1023#124C23×C1112yes—
1024#124C23×C1111yescharacteristic
1025#124C23×C1111yescharacteristic
1026#123—21no—
1027#123—21no—
1028#123—21no—
1029#123—21no—
1030#123—21no—
1031#123—21no—
1032C22⋊Q8—21no—
1033C22⋊Q8—21no—
1034C22⋊Q8—22no—
1035C22⋊Q8—22no—
1036C22⋊Q8—22no—
1037C22⋊Q8—22no—
1038C22⋊Q8—21no—
1039C22⋊Q8—21no—
1040C22⋊Q8—21no—
1041C22⋊Q8—21no—
1042C22⋊Q8C23×C1112yes—
1043C22⋊Q8C23×C1112yes—
1044C22⋊Q8C23×C1111yescharacteristic
1045C22⋊Q8C23×C1111yescharacteristic
1046C22⋊Q8C23×C1111yescharacteristic
1047C22⋊Q8C23×C1111yescharacteristic
1048#121—22no—
1049#121—22no—
1050#121—22no—
1051#121—22no—
1052#121—21no—
1053#121—21no—
1054#121—21no—
1055#121—21no—
1056#121—21no—
1057#121—21no—
1058#121—21no—
1059#121—21no—
1060#121—21no—
1061#121—21no—
1062#121—21no—
1063#121—21no—
1064#121C23×C1112yes—
1065#121C23×C1112yes—
1066#121C23×C1111yescharacteristic
1067#121C23×C1111yescharacteristic
1068#121C23×C1111yescharacteristic
1069#121C23×C1111yescharacteristic
1070#120—21no—
1071#120—21no—
1072#120—21no—
1073#120—21no—
1074#120—21no—
1075#120—21no—
1076C4×Q8—21no—
1077C4×Q8—21no—
1078C4×Q8C23×C1112yes—
1079C4×Q8C23×C1112yes—
1080C4×Q8C23×C1111yescharacteristic
1081C4×Q8C23×C1111yescharacteristic
1082C4×D4—21no—
1083C4×D4—21no—
1084C4×D4—21no—
1085C4×D4—21no—
1086C4×D4—21no—
1087C4×D4—21no—
1088C4×D4—21no—
1089C4×D4—21no—
1090C4×D4—21no—
1091C4×D4—21no—
1092C4×D4—22no—
1093C4×D4—22no—
1094C4×D4—22no—
1095C4×D4—22no—
1096C4×D4—21no—
1097C4×D4—21no—
1098C4×D4D4×C1111yescharacteristic
1099C4×D4D4×C1111yescharacteristic
1100C4×D4D4×C1111yescharacteristic
1101C4×D4D4×C1111yescharacteristic
1102C4×D4C23×C1111yescharacteristic
1103C4×D4C23×C1111yescharacteristic
1104C4×D4C23×C1111yescharacteristic
1105C4×D4C23×C1111yescharacteristic
1106C4×D4C23×C1111yescharacteristic
1107C4×D4C23×C1111yescharacteristic
1108#117—21no—
1109#117C23×C1111yescharacteristic
1110C2×C4⋊C4—21no—
1111C2×C4⋊C4—21no—
1112C2×C4⋊C4—21no—
1113C2×C4⋊C4D4×C1111yescharacteristic
1114C2×C4⋊C4C23×C1111yescharacteristic
1115C2×C22⋊C4—21no—
1116C2×C22⋊C4—21no—
1117C2×C22⋊C4—21no—
1118C2×C22⋊C4—21no—
1119C2×C22⋊C4—21no—
1120C2×C22⋊C4—21no—
1121C2×C22⋊C4D4×C1111yescharacteristic
1122C2×C22⋊C4D4×C1111yescharacteristic
1123C2×C42—21no—
1124C2×C42—21no—
1125C2×C42C23×C1111yescharacteristic
1126#107C23×C1112yes—
1127#106C23×C1112yes—
1128C4⋊C8C23×C1112yes—
1129C4⋊C8C23×C1112yes—
1130#103C23×C1112yes—
1131#103C23×C1112yes—
1132#103C23×C1112yes—
1133#103C23×C1112yes—
1134#103C23×C1112yes—
1135#103C23×C1112yes—
1136#103C23×C1112yes—
1137#102C23×C1112yes—
1138#102C23×C1112yes—
1139#102C23×C1112yes—
1140#102C23×C1112yes—
1141#102C23×C1112yes—
1142C22⋊C8C23×C1112yes—
1143C22⋊C8C23×C1112yes—
1144C22⋊C8C23×C1112yes—
1145C22⋊C8C23×C1112yes—
1146#97C23×C1112yes—
1147C4×C8C23×C1112yes—
1148C2×C11—22no—
1149C2×C11—22no—
1150C2×C11—41no—
1151C2×C11—41no—
1152C2×C11—41no—
1153C2×C11—42no—
1154C2×C11—81no—
1155C2×C11—81no—
1156C2×C11—82no—
1157C2×C11C2×D4211yescharacteristic
1158C2×C11C2×#57511yescharacteristic
1159C2×C11#358611yescharacteristic
1160C24—21no—
1161C24—21no—
1162C24—21no—
1163C24C2×D4×C1111yescharacteristic
1164C24C2×D4×C1111yescharacteristic
1165#41—22no—
1166#41—24no—
1167#41—22no—
1168#41—24no—
1169#41—22no—
1170#41—22no—
1171#41—22no—
1172#41—22no—
1173#41—22no—
1174#41—22no—
1175#41—22no—
1176#41—44no—
1177#41—44no—
1178#41—42no—
1179#41—41no—
1180#41—41no—
1181#41—42no—
1182#41—41no—
1183#41—41no—
1184#41—44no—
1185#41—44no—
1186#41—44no—
1187#41—44no—
1188#41C2×D4×C1114yes—
1189C2×Q8—21no—
1190C2×Q8—22no—
1191C2×Q8—22no—
1192C2×Q8—21no—
1193C2×Q8—21no—
1194C2×Q8—21no—
1195C2×Q8—22no—
1196C2×Q8—24no—
1197C2×Q8—22no—
1198C2×Q8—24no—
1199C2×Q8—22no—
1200C2×Q8—22no—
1201C2×Q8—22no—
1202C2×Q8—44no—
1203C2×Q8—42no—
1204C2×Q8—42no—
1205C2×Q8—41no—
1206C2×Q8—41no—
1207C2×Q8—44no—
1208C2×Q8—44no—
1209C2×Q8C2×D4×C1114yescomplemented
1210C2×Q8C24×C1112yes—
1211C2×Q8C24×C1111yescharacteristic
1212C2×Q8C24×C1111yescharacteristic
1213C2×Q8C24×C1112yes—
1214C2×Q8C24×C1111yescharacteristic
1215C2×D4—21no—
1216C2×D4—22no—
1217C2×D4—22no—
1218C2×D4—21no—
1219C2×D4—21no—
1220C2×D4—22no—
1221C2×D4—22no—
1222C2×D4—21no—
1223C2×D4—21no—
1224C2×D4—21no—
1225C2×D4—21no—
1226C2×D4—22no—
1227C2×D4—22no—
1228C2×D4—21no—
1229C2×D4—21no—
1230C2×D4—21no—
1231C2×D4—21no—
1232C2×D4—22no—
1233C2×D4—21no—
1234C2×D4—21no—
1235C2×D4—21no—
1236C2×D4—21no—
1237C2×D4—21no—
1238C2×D4—22no—
1239C2×D4—41no—
1240C2×D4—41no—
1241C2×D4—44no—
1242C2×D4—42no—
1243C2×D4—44no—
1244C2×D4—44no—
1245C2×D4—44no—
1246C2×D4—44no—
1247C2×D4C2×D4×C1111yescharacteristic
1248C2×D4C2×D4×C1111yescharacteristic
1249C2×D4C2×D4×C1111yescharacteristic
1250C2×D4C2×D4×C1111yescharacteristic
1251C2×D4C24×C1112yes—
1252C2×D4C24×C1111yescharacteristic
1253C2×D4C24×C1111yescharacteristic
1254C2×D4C24×C1111yescharacteristic
1255C22×C4—21no—
1256C22×C4—21no—
1257C22×C4—22no—
1258C22×C4—22no—
1259C22×C4—22no—
1260C22×C4—22no—
1261C22×C4—21no—
1262C22×C4—21no—
1263C22×C4—22no—
1264C22×C4—22no—
1265C22×C4—21no—
1266C22×C4—21no—
1267C22×C4—21no—
1268C22×C4—21no—
1269C22×C4—21no—
1270C22×C4—21no—
1271C22×C4—21no—
1272C22×C4—21no—
1273C22×C4—21no—
1274C22×C4—22no—
1275C22×C4—22no—
1276C22×C4—21no—
1277C22×C4—44no—
1278C22×C4—44no—
1279C22×C4—44no—
1280C22×C4—44no—
1281C22×C4C2×D4×C1111yescharacteristic
1282C22×C4C2×D4×C1111yescharacteristic
1283C22×C4C2×D4×C1111yescharacteristic
1284C22×C4C2×D4×C1111yescharacteristic
1285C22×C4C2×D4×C1111yescharacteristic
1286C22×C4C2×D4×C1111yescharacteristic
1287C22×C4C2×D4×C1111yescharacteristic
1288C22×C4C2×D4×C1111yescharacteristic
1289C22×C4C24×C1111yescharacteristic
1290C22×C4C24×C1111yescharacteristic
1291C22×C4C24×C1111yescharacteristic
1292C22×C4C24×C1111yescharacteristic
1293C22×C4C24×C1111yescharacteristic
1294Q16—24no—
1295Q16—24no—
1296Q16—24no—
1297Q16—24no—
1298Q16—42no—
1299Q16C2×D4×C1118yescomplemented
1300SD16—24no—
1301SD16—24no—
1302SD16—24no—
1303SD16—24no—
1304SD16—24no—
1305SD16—24no—
1306SD16—42no—
1307SD16—42no—
1308SD16C2×D4×C1118yescomplemented
1309D8—24no—
1310D8—24no—
1311D8—42no—
1312M16—22no—
1313M16—22no—
1314M16—22no—
1315M16—24no—
1316M16—24no—
1317M16C2×D4×C1114yescomplemented
1318C2×C8—24no—
1319C2×C8—24no—
1320C2×C8C24×C1112yes—
1321C2×C8C24×C1112yes—
1322C2×C8C24×C1112yes—
1323C2×C8C24×C1112yes—
1324C4⋊C4—21no—
1325C4⋊C4—22no—
1326C4⋊C4—22no—
1327C4⋊C4—21no—
1328C4⋊C4—21no—
1329C4⋊C4—22no—
1330C4⋊C4—22no—
1331C4⋊C4—21no—
1332C4⋊C4—21no—
1333C4⋊C4—21no—
1334C4⋊C4—21no—
1335C4⋊C4—21no—
1336C4⋊C4—21no—
1337C4⋊C4C2×D4×C1111yescharacteristic
1338C4⋊C4C2×D4×C1111yescharacteristic
1339C4⋊C4C2×D4×C1111yescharacteristic
1340C4⋊C4C2×D4×C1111yescharacteristic
1341C4⋊C4C24×C1112yes—
1342C4⋊C4C24×C1111yescharacteristic
1343C4⋊C4C24×C1111yescharacteristic
1344C22⋊C4—21no—
1345C22⋊C4—21no—
1346C22⋊C4—22no—
1347C22⋊C4—22no—
1348C22⋊C4—21no—
1349C22⋊C4—21no—
1350C22⋊C4—21no—
1351C22⋊C4—21no—
1352C22⋊C4—21no—
1353C22⋊C4—21no—
1354C22⋊C4—21no—
1355C22⋊C4—22no—
1356C22⋊C4—22no—
1357C22⋊C4—22no—
1358C22⋊C4—22no—
1359C22⋊C4—22no—
1360C22⋊C4—22no—
1361C22⋊C4—21no—
1362C22⋊C4—21no—
1363C22⋊C4—21no—
1364C22⋊C4—21no—
1365C22⋊C4—21no—
1366C22⋊C4—21no—
1367C22⋊C4C2×D4×C1111yescharacteristic
1368C22⋊C4C2×D4×C1111yescharacteristic
1369C22⋊C4C2×D4×C1111yescharacteristic
1370C22⋊C4C2×D4×C1111yescharacteristic
1371C22⋊C4C2×D4×C1111yescharacteristic
1372C22⋊C4C2×D4×C1111yescharacteristic
1373C22⋊C4C2×D4×C1111yescharacteristic
1374C22⋊C4C2×D4×C1111yescharacteristic
1375C42—21no—
1376C42—21no—
1377C42—21no—
1378C42—22no—
1379C42—22no—
1380C42C2×D4×C1111yescharacteristic
1381C42C2×D4×C1111yescharacteristic
1382C42C24×C1111yescharacteristic
1383C42C24×C1111yescharacteristic
1384C11#6106811yescharacteristic, direct product factor, Sylow
1385C23—22no—
1386C23—22no—
1387C23—21no—
1388C23—22no—
1389C23—22no—
1390C23—21no—
1391C23—21no—
1392C23—41no—
1393C23—41no—
1394C23—41no—
1395C23—42no—
1396C23—42no—
1397C23—42no—
1398C23—42no—
1399C23—42no—
1400C23—42no—
1401C23—42no—
1402C23—81no—
1403C23—81no—
1404C23C22×D4×C1111yescharacteristic
1405C23C22×D4×C1111yescharacteristic
1406C23C22×D4×C1111yescharacteristic
1407C23C22×D4×C1111yescharacteristic
1408C23C22×D4×C1111yescharacteristic
1409Q8—24no—
1410Q8—22no—
1411Q8—21no—
1412Q8—22no—
1413Q8—21no—
1414Q8—21no—
1415Q8—21no—
1416Q8—22no—
1417Q8—21no—
1418Q8—44no—
1419Q8—44no—
1420Q8—42no—
1421Q8—42no—
1422Q8—42no—
1423Q8C22×D4×C1114yes—
1424Q8C22×D4×C1112yes—
1425D4—24no—
1426D4—22no—
1427D4—22no—
1428D4—22no—
1429D4—21no—
1430D4—21no—
1431D4—21no—
1432D4—21no—
1433D4—22no—
1434D4—21no—
1435D4—41no—
1436D4—41no—
1437D4—42no—
1438D4—42no—
1439D4—42no—
1440D4—42no—
1441D4—44no—
1442D4—44no—
1443D4—42no—
1444D4—42no—
1445D4—42no—
1446D4—42no—
1447D4—44no—
1448D4—42no—
1449D4—42no—
1450D4—42no—
1451D4—44no—
1452D4—42no—
1453D4—81no—
1454D4—81no—
1455D4—81no—
1456D4C22×D4×C1112yes—
1457C2×C4—22no—
1458C2×C4—22no—
1459C2×C4—24no—
1460C2×C4—21no—
1461C2×C4—22no—
1462C2×C4—22no—
1463C2×C4—22no—
1464C2×C4—22no—
1465C2×C4—22no—
1466C2×C4—24no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—22no—
1478C2×C4—22no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—41no—
1482C2×C4—41no—
1483C2×C4—42no—
1484C2×C4—44no—
1485C2×C4—44no—
1486C2×C4—42no—
1487C2×C4—42no—
1488C2×C4—42no—
1489C2×C4—44no—
1490C2×C4—44no—
1491C2×C4—42no—
1492C2×C4—42no—
1493C2×C4—42no—
1494C2×C4—42no—
1495C2×C4—42no—
1496C2×C4—42no—
1497C2×C4—42no—
1498C2×C4—81no—
1499C2×C4C22×D4×C1111yescharacteristic
1500C2×C4C22×D4×C1111yescharacteristic
1501C2×C4C22×D4×C1111yescharacteristic
1502C2×C4C22×D4×C1111yescharacteristic
1503C2×C4C22×D4×C1111yescharacteristic
1504C2×C4C22×D4×C1111yescharacteristic
1505C2×C4C22×D4×C1111yescharacteristic
1506C2×C4C22×D4×C1111yescharacteristic
1507C2×C4C22×D4×C1111yescharacteristic
1508C2×C4C22×D4×C1112yes—
1509C2×C4C11×H(5,𝔽2)12yes—
1510C2×C4C25×C1111yescharacteristic
1511C8—22no—
1512C8—22no—
1513C8—22no—
1514C8C22×D4×C1114yes—
1515C22—21no—
1516C22—21no—
1517C22—21no—
1518C22—21no—
1519C22—21no—
1520C22—21no—
1521C22—21no—
1522C22—22no—
1523C22—21no—
1524C22—21no—
1525C22—21no—
1526C22—21no—
1527C22—21no—
1528C22—21no—
1529C22—44no—
1530C22—41no—
1531C22—41no—
1532C22—42no—
1533C22—41no—
1534C22—41no—
1535C22—41no—
1536C22—41no—
1537C22—42no—
1538C22—41no—
1539C22—41no—
1540C22—42no—
1541C22—82no—
1542C22—84no—
1543C22—84no—
1544C22—84no—
1545C22D42×C1112yes—
1546C22C11×#57512yescomplemented
1547C22C23×D4×C1111yescharacteristic
1548C4—21no—
1549C4—21no—
1550C4—21no—
1551C4—21no—
1552C4—22no—
1553C4—24no—
1554C4—21no—
1555C4—21no—
1556C4—21no—
1557C4—21no—
1558C4—41no—
1559C4—41no—
1560C4—42no—
1561C4—41no—
1562C4—42no—
1563C4—41no—
1564C4D42×C1112yes—
1565C4C23×D4×C1111yescharacteristic
1566C4C2×C11×H(5,𝔽2)11yescharacteristic
1567C2—22no—
1568C2—22no—
1569C2—41no—
1570C2—41no—
1571C2—41no—
1572C2—42no—
1573C2—81no—
1574C2—81no—
1575C2—82no—
1576C2C2×D42×C1111yescharacteristic
1577C2C2×C11×#57511yescharacteristic
1578C2C11×#358611yescharacteristic
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×#137C2semidirect
3. D4×C11×#41C2semidirect
4. C2×C11×#548C2semidirect
5. C11×#3285C2semidirect
6. C11×#3282C2semidirect
7. C11×#3277C2semidirect
8. C11×#3275C2semidirect
9. C11×#3271C2semidirect
10. C11×#3270C2semidirect
11. C11×#3269C2semidirect
12. C11×#3265C2semidirect
13. C11×#3153C2semidirect
14. C11×#3056C2semidirect
15. C11×#3055C2semidirect
16. C11×#3040C2semidirect
17. C11×#3037C2semidirect
18. C11×#3007C2semidirect
19. C11×#3006C2semidirect
20. C11×#3005C2semidirect
21. C11×#3004C2semidirect
22. C4×C11×#137C2semidirect
23. D4×C11×M16C2semidirect
26. C22×C11×#41C22semidirect
27. C23×Q8×C11C22semidirect
32. C2×C11×#137C22semidirect
33. C2×C11×#137C22semidirect
34. C2×C11×#137C22semidirect
35. C2×C11×#137C22semidirect
36. C2×C11×#137C22semidirect
37. C2×C11×#137C22semidirect
38. C2×C11×#137C22semidirect
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×Q16C22semidirect
46. C22×C11×SD16C22semidirect
47. C22×C11×M16C22semidirect
48. C22×C11×M16C22semidirect
49. C11×#550C22semidirect
50. D4×Q8×C11C22semidirect
56. C11×#548C22semidirect
57. C11×#548C22semidirect
58. C11×#548C22semidirect
59. C11×#548C22semidirect
60. C11×#548C22semidirect
62. C11×#547C22semidirect
65. C11×#546C22semidirect
66. C11×#546C22semidirect
68. D42×C11C22semidirect
72. C2×C11×#124C22semidirect
78. C2×C11×C22⋊Q8C22semidirect
80. C2×C11×#121C22semidirect
82. C2×C4×Q8×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×#464C22semidirect
101. C11×#464C22semidirect
102. C11×#463C22semidirect
103. C11×#463C22semidirect
104. C11×#462C22semidirect
105. C11×#460C22semidirect
106. C11×#452C22semidirect
107. C11×#452C22semidirect
108. C11×#452C22semidirect
109. C11×#452C22semidirect
110. C11×#451C22semidirect
111. C11×#451C22semidirect
112. C11×#451C22semidirect
113. C11×#450C22semidirect
114. C11×#449C22semidirect
115. C11×#449C22semidirect
116. C11×#449C22semidirect
117. C11×#449C22semidirect
118. C11×#448C22semidirect
119. C11×#448C22semidirect
120. C11×#448C22semidirect
121. C11×#447C22semidirect
122. C11×#441C22semidirect
123. C11×#440C22semidirect
124. C4×C11×Q16C22semidirect
125. C4×C11×SD16C22semidirect
126. C11×#436C22semidirect
127. C11×#435C22semidirect
128. C11×#435C22semidirect
129. C8×D4×C11C22semidirect
130. C11×#428C22semidirect
131. C11×#423C22semidirect
132. C11×#419C22semidirect
133. C11×#419C22semidirect
134. C11×#418C22semidirect
136. C11×#417C22semidirect
137. C11×#417C22semidirect
138. C11×#407C22semidirect
139. C11×#407C22semidirect
140. C4×C11×M16C22semidirect
196. C11×#137D4semidirect
371. #61068C11direct (N × H)
421. C2×Q8×C11C2×D4semidirect
511. C11×Q16C2×D4semidirect
520. C11×SD16C2×D4semidirect
529. C11×M16C2×D4semidirect
596. C2×#575C2×C11semidirect
597. C22×#137C2×C11semidirect
598. D4×#41C2×C11semidirect
599. C2×#548C2×C11semidirect
600. #3285C2×C11semidirect
601. #3282C2×C11semidirect
602. #3277C2×C11semidirect
603. #3275C2×C11semidirect
604. #3271C2×C11semidirect
605. #3270C2×C11semidirect
606. #3269C2×C11semidirect
607. #3265C2×C11semidirect
608. #3153C2×C11semidirect
609. #3056C2×C11semidirect
610. #3055C2×C11semidirect
611. #3040C2×C11semidirect
612. #3037C2×C11semidirect
613. #3007C2×C11semidirect
614. #3006C2×C11semidirect
615. #3005C2×C11semidirect
616. #3004C2×C11semidirect
617. C4×#137C2×C11semidirect
618. D4×M16C2×C11semidirect
751. C22×#41C22×C11semidirect
752. C23×Q8C22×C11semidirect
757. C2×#137C22×C11semidirect
758. C2×#137C22×C11semidirect
759. C2×#137C22×C11semidirect
760. C2×#137C22×C11semidirect
761. C2×#137C22×C11semidirect
762. C2×#137C22×C11semidirect
763. C2×#137C22×C11semidirect
765. C2×AGL(1,ℤ/8)C22×C11semidirect
766. C2×AGL(1,ℤ/8)C22×C11semidirect
767. C2×AGL(1,ℤ/8)C22×C11semidirect
768. C2×#135C22×C11semidirect
769. C2×#135C22×C11semidirect
770. C22×Q16C22×C11semidirect
771. C22×SD16C22×C11semidirect
772. C22×M16C22×C11semidirect
773. C22×M16C22×C11semidirect
774. #550C22×C11semidirect
775. D4×Q8C22×C11semidirect
781. #548C22×C11semidirect
782. #548C22×C11semidirect
783. #548C22×C11semidirect
784. #548C22×C11semidirect
785. #548C22×C11semidirect
787. #547C22×C11semidirect
790. #546C22×C11semidirect
791. #546C22×C11semidirect
793. D42C22×C11semidirect
797. C2×#124C22×C11semidirect
803. C2×C22⋊Q8C22×C11semidirect
805. C2×#121C22×C11semidirect
807. C2×C4×Q8C22×C11semidirect
811. #497C22×C11semidirect
812. #496C22×C11semidirect
813. #495C22×C11semidirect
814. #495C22×C11semidirect
815. #470C22×C11semidirect
816. #469C22×C11semidirect
817. #468C22×C11semidirect
818. #468C22×C11semidirect
819. #467C22×C11semidirect
820. #466C22×C11semidirect
821. #465C22×C11semidirect
822. #465C22×C11semidirect
823. #464C22×C11semidirect
824. #464C22×C11semidirect
825. #464C22×C11semidirect
826. #464C22×C11semidirect
827. #463C22×C11semidirect
828. #463C22×C11semidirect
829. #462C22×C11semidirect
830. #460C22×C11semidirect
831. #452C22×C11semidirect
832. #452C22×C11semidirect
833. #452C22×C11semidirect
834. #452C22×C11semidirect
835. #451C22×C11semidirect
836. #451C22×C11semidirect
837. #451C22×C11semidirect
838. #450C22×C11semidirect
839. #449C22×C11semidirect
840. #449C22×C11semidirect
841. #449C22×C11semidirect
842. #449C22×C11semidirect
843. #448C22×C11semidirect
844. #448C22×C11semidirect
845. #448C22×C11semidirect
846. #447C22×C11semidirect
847. #441C22×C11semidirect
848. #440C22×C11semidirect
849. C4×Q16C22×C11semidirect
850. C4×SD16C22×C11semidirect
851. #436C22×C11semidirect
852. #435C22×C11semidirect
853. #435C22×C11semidirect
854. C8×D4C22×C11semidirect
855. #428C22×C11semidirect
856. #423C22×C11semidirect
857. #419C22×C11semidirect
858. #419C22×C11semidirect
859. #418C22×C11semidirect
861. #417C22×C11semidirect
862. #417C22×C11semidirect
863. #407C22×C11semidirect
864. #407C22×C11semidirect
865. C4×M16C22×C11semidirect
897. C22×C11#575semidirect
973. #137D4×C11semidirect
1209. C2×Q8C2×D4×C11semidirect
1299. Q16C2×D4×C11semidirect
1308. SD16C2×D4×C11semidirect
1317. M16C2×D4×C11semidirect
1384. C11#61068direct (N × H)
1546. 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×#1372
D4×C11×#412
C2×C11×#5482
C11×#32852
C11×#32822
C11×#32772
C11×#32752
C11×#32712
C11×#32702
C11×#32692
C11×#32652
C11×#31532
C11×#30562
C11×#30552
C11×#30402
C11×#30372
C11×#30072
C11×#30062
C11×#30052
C11×#30042
C4×C11×#1372
D4×C11×M162
#6106811