Finite Group Databasebeta

← C11×#61978 #14639171

Subgroups — C11×#61978 #14639171

Order 2816.

1916 conjugacy classes of subgroups.

The subgroup lattice has 1344 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C11×#3511C211yesmaximal, characteristic, complemented
2C11×#3481C211yesmaximal, characteristic, complemented
3C11×#3401C212yesmaximal, complemented
4C11×#3376C212yesmaximal, complemented
5C11×#3316C212yesmaximal, complemented
6C11×#3307C212yesmaximal, complemented
7C11×#3301C212yesmaximal, complemented
8C11×#3282C212yesmaximal, complemented
9C11×#3267C212yesmaximal, complemented
10C11×#3265C212yesmaximal, complemented
11C11×#3252C211yesmaximal, characteristic, complemented
12C11×#3247C211yesmaximal, characteristic, complemented
13C11×#3246C211yesmaximal, characteristic, complemented
14C11×#3218C211yesmaximal, characteristic, complemented
15C11×#3214C211yesmaximal, characteristic, complemented
16C11×#3212C211yesmaximal, characteristic, complemented
17C11×#3116C211yesmaximal, characteristic, complemented
18C11×#3109C211yesmaximal, characteristic, complemented
19C11×#3101C211yesmaximal, characteristic, complemented
20C11×#3036C211yesmaximal, characteristic, complemented
21C11×#3035C211yesmaximal, characteristic, complemented
22C2×C11×#461C211yesmaximal, characteristic, complemented
23C11×#2990C211yesmaximal, characteristic, complemented
24C2×C11×AGL(1,ℤ/8)C2212yes—
25C2×C11×#135C2212yes—
26C22×C11×SD16C2212yes—
27C11×#559C2211yescharacteristic
28C11×#556C2212yescomplemented
29C11×#555—21no—
30C11×#554—21no—
31C11×#554C2211yescharacteristic
32C11×#554C2211yescharacteristic
33C11×#553—21no—
34C11×#553—21no—
35C11×#553—21no—
36C11×#553C2211yescharacteristic
37C11×#553C2211yescharacteristic
38C11×#551—21no—
39C11×#551—21no—
40C11×#548C2212yes—
41C11×#548C2212yescomplemented
42C11×#547C2212yescomplemented
43C11×#546—21no—
44C11×#546C2211yescharacteristic
45C11×#546C2211yescharacteristic
46D42×C11C2211yescharacteristic
47C11×#542—21no—
48C11×#542—21no—
49C11×#537—21no—
50C11×#533C2211yescharacteristic, complemented
51C11×#533C2211yescharacteristic, complemented
52C11×#532C2211yescharacteristic
53C11×#532C2211yescharacteristic, complemented
54C11×#532C2211yescharacteristic, complemented
55C11×#532C2211yescharacteristic, complemented
56C2×C11×C4⋊Q8C2211yescharacteristic, complemented
57C11×#529—21no—
58C11×#529C2211yescharacteristic
59C11×#529C2211yescharacteristic
60C11×#525—21no—
61C11×#525—21no—
62C11×#520—21no—
63C4×C11×#41C2211yescharacteristic
64C4×C11×#41C2211yescharacteristic
65C2×C4×D4×C11—21no—
66C2×C4×D4×C11C2211yescharacteristic
67C2×C4×D4×C11C2211yescharacteristic
68C11×#497C2212yescomplemented
69C11×#496C2212yes—
70C11×#495C2212yescomplemented
71C11×#491C2212yescomplemented
72C11×#489C2212yescomplemented
73C11×#488C2212yescomplemented
74C11×#485C2212yescomplemented
75C11×#483C2212yescomplemented
76C11×#481C2212yescomplemented
77C11×#479C2212yescomplemented
78C11×#478C2212yescomplemented
79C11×#477C2211yescharacteristic, complemented
80C11×#476C2211yescharacteristic
81C11×#476C2211yescharacteristic, complemented
82C11×#476C2211yescharacteristic, complemented
83C11×#475C2212yescomplemented
84C11×#470C2212yescomplemented
85C11×#468C2212yes—
86C11×#466C2212yes—
87C11×#465C2212yescomplemented
88C11×#465C2212yescomplemented
89C11×#465C2212yescomplemented
90C11×#464C2212yescomplemented
91C11×#464C2212yescomplemented
92C11×#463C2212yes—
93C11×#463C2212yes—
94C11×#463C2212yescomplemented
95C11×#463C2212yescomplemented
96C11×#462C2211yescharacteristic, complemented
97C11×#462C2211yescharacteristic, complemented
98C11×#461C2212yes—
99C11×#461C2211yescharacteristic
100C11×#461C2211yescharacteristic
101C11×#461C2211yescharacteristic, complemented
102C11×#461C2211yescharacteristic, complemented
103C11×#461C2211yescharacteristic, complemented
104C11×#461C2211yescharacteristic, complemented
105C11×#461C2212yescomplemented
106C11×#460C2212yes—
107C11×#460C2211yescharacteristic, complemented
108C11×#459C2211yescharacteristic
109C11×#459C2211yescharacteristic, complemented
110C11×#459C2211yescharacteristic, complemented
111C11×#452C2212yes—
112C11×#452C2212yescomplemented
113C11×#451C2212yescomplemented
114C11×#450C2212yes—
115C11×#449C2212yes—
116C11×#449C2212yescomplemented
117C11×#449C2212yescomplemented
118C11×#448C2212yes—
119C11×#447C2212yes—
120C11×#446C2212yescomplemented
121C11×#442C2212yes—
122C11×#442C2212yescomplemented
123C11×#441C2212yescomplemented
124C11×#440C2212yes—
125C4×C11×SD16C2212yes—
126C4×C11×SD16C2212yescomplemented
127C11×#435C2212yes—
128C11×#435C2212yescomplemented
129C8×D4×C11C2212yescomplemented
130C11×#432C2211yescharacteristic, complemented
131C11×#432C2211yescharacteristic, complemented
132C11×#431C2211yescharacteristic, complemented
133C11×#423C2211yescharacteristic, complemented
134C2×C11×C4⋊C8C2211yescharacteristic, complemented
135C2×C11×C4⋊C8C2211yescharacteristic, complemented
136C11×#417C2212yescomplemented
137C11×#416C2212yescomplemented
138C2×C11×#103C2212yescomplemented
139C2×C11×#41—21no—
140C2×C11×#41—21no—
141C2×C11×#41D411yescharacteristic
142C2×C11×#41C2311yescharacteristic
143C2×C11×#41C2312yes—
144C2×C11×#41C2312yes—
145C22×Q8×C11C2312yes—
146C22×D4×C11—21no—
147C22×D4×C11C2311yescharacteristic
148C22×D4×C11C2311yescharacteristic
149C23×C4×C11—21no—
150C23×C4×C11—21no—
151C11×AGL(1,ℤ/8)—44no—
152C11×#135—44no—
153C2×C11×Q16C2312yes—
154C2×C11×Q16C2312yes—
155C2×C11×SD16—44no—
156C2×C11×SD16C2312yes—
157C2×C11×SD16C2312yes—
158C2×C11×SD16C2312yes—
159C2×C11×SD16C2312yes—
160C2×C11×SD16C2312yes—
161C2×C11×SD16C2312yes—
162C2×C11×SD16C2312yes—
163C2×C11×D8C2312yes—
164C2×C11×D8C2312yes—
165C2×C11×D8C2312yes—
166C2×C11×M16C2312yes—
167C22×C8×C11C2312yes—
168C22×C8×C11C2312yes—
169C11×C4⋊Q8—21no—
170C11×C4⋊Q8—21no—
171C11×C4⋊Q8C2312yes—
172C11×C4⋊Q8C2311yescharacteristic
173C11×C4⋊Q8C2311yescharacteristic
174C11×C4⋊Q8C2311yescharacteristic
175C11×C4⋊Q8C2311yescharacteristic
176C11×#127C2311yescharacteristic
177C11×#127C2311yescharacteristic
178C11×#126—21no—
179C11×#126—21no—
180C11×#126—22no—
181C11×#126—22no—
182C11×#126—21no—
183C11×#126—21no—
184C11×#125—21no—
185C11×#125—21no—
186C11×#125—21no—
187C11×#125C2311yescharacteristic
188C11×#125C2311yescharacteristic
189C11×#124—21no—
190C11×#124—22no—
191C11×#124—22no—
192C11×#124—21no—
193C11×#124—21no—
194C11×#124C2312yes—
195C11×#124C2311yescharacteristic
196C11×#124C2312yes—
197C11×#124C2311yescharacteristic
198C11×#123—21no—
199C11×#123—21no—
200C11×#123—21no—
201C11×#123—21no—
202C11×#123—21no—
203C11×#123—21no—
204C11×#123—21no—
205C11×#123—21no—
206C11×#123—22no—
207C11×#123—22no—
208C11×C22⋊Q8—21no—
209C11×C22⋊Q8—22no—
210C11×C22⋊Q8—21no—
211C11×C22⋊Q8—21no—
212C11×C22⋊Q8—21no—
213C11×C22⋊Q8—21no—
214C11×C22⋊Q8—22no—
215C11×C22⋊Q8—22no—
216C11×C22⋊Q8—21no—
217C11×C22⋊Q8—21no—
218C11×C22⋊Q8C2311yescharacteristic
219C11×C22⋊Q8C2311yescharacteristic
220C11×C22⋊Q8C2312yes—
221C11×C22⋊Q8C2312yes—
222C11×#121—21no—
223C11×#121—21no—
224C11×#121—22no—
225C11×#121—22no—
226C11×#121—22no—
227C11×#121—21no—
228C11×#121—21no—
229C11×#121—21no—
230C11×#121—21no—
231C11×#121—21no—
232C11×#121—21no—
233C11×#121—21no—
234C11×#121—21no—
235C11×#121—21no—
236C11×#121C2311yescharacteristic
237C11×#121C2311yescharacteristic
238C11×#121C2311yescharacteristic
239C11×#121C2311yescharacteristic
240C11×#121C2312yes—
241C11×#120—21no—
242C11×#120—21no—
243C11×#120—21no—
244C11×#120—21no—
245C4×Q8×C11—21no—
246C4×Q8×C11—21no—
247C4×Q8×C11D411yescharacteristic
248C4×Q8×C11C2311yescharacteristic
249C4×Q8×C11C2311yescharacteristic
250C4×Q8×C11C2312yes—
251C4×Q8×C11C2312yes—
252C4×Q8×C11C2311yescharacteristic
253C4×D4×C11—21no—
254C4×D4×C11—21no—
255C4×D4×C11—21no—
256C4×D4×C11—21no—
257C4×D4×C11—21no—
258C4×D4×C11—21no—
259C4×D4×C11—21no—
260C4×D4×C11—21no—
261C4×D4×C11—22no—
262C4×D4×C11—22no—
263C4×D4×C11—21no—
264C4×D4×C11—21no—
265C4×D4×C11—21no—
266C4×D4×C11—21no—
267C4×D4×C11—21no—
268C4×D4×C11—21no—
269C4×D4×C11—21no—
270C4×D4×C11—21no—
271C4×D4×C11—21no—
272C4×D4×C11—21no—
273C4×D4×C11D411yescharacteristic
274C4×D4×C11D411yescharacteristic
275C4×D4×C11D411yescharacteristic
276C4×D4×C11C2311yescharacteristic
277C4×D4×C11C2311yescharacteristic
278C4×D4×C11C2311yescharacteristic
279C4×D4×C11C2311yescharacteristic
280C4×D4×C11C2311yescharacteristic
281C4×D4×C11C2311yescharacteristic
282C4×D4×C11C2311yescharacteristic
283C4×D4×C11C2311yescharacteristic
284C4×D4×C11C2312yes—
285C4×D4×C11C2311yescharacteristic
286C4×D4×C11C2311yescharacteristic
287C4×D4×C11C2311yescharacteristic
288C11×#117—21no—
289C11×#117—21no—
290C11×#117—22no—
291C11×#117—21no—
292C11×#117—21no—
293C11×#117—21no—
294C11×#117D411yescharacteristic
295C11×#117D411yescharacteristic
296C11×#117D411yescharacteristic
297C11×#117C2311yescharacteristic
298C2×C11×C4⋊C4—21no—
299C2×C11×C4⋊C4—21no—
300C2×C11×C4⋊C4—21no—
301C2×C11×C4⋊C4—22no—
302C2×C11×C4⋊C4C2311yescharacteristic
303C2×C11×C4⋊C4C2311yescharacteristic
304C2×C11×C22⋊C4—21no—
305C2×C11×C22⋊C4—21no—
306C2×C11×C22⋊C4—21no—
307C2×C11×C22⋊C4—21no—
308C2×C42×C11—21no—
309C2×C42×C11C2311yescharacteristic
310C2×C42×C11C2311yescharacteristic
311C2×C42×C11C2311yescharacteristic
312C11×#107C2312yes—
313C11×#106C2312yes—
314C11×#106C2312yes—
315C11×#106C2312yes—
316C11×C4⋊C8C2311yescharacteristic
317C11×C4⋊C8C2311yescharacteristic
318C11×C4⋊C8C2311yescharacteristic
319C11×C4⋊C8C2312yes—
320C11×C4⋊C8C2312yes—
321C11×C4⋊C8C2312yes—
322C11×C4⋊C8C2311yescharacteristic
323C11×#103C2312yes—
324C11×#103C2312yes—
325C11×#103C2312yes—
326C11×#103C2312yes—
327C11×#103C2312yes—
328C11×#103C2312yes—
329C11×#103C2312yes—
330C11×#103C2312yes—
331C11×#103C2312yes—
332C11×#102C2312yes—
333C11×#102C2312yes—
334C11×#102C2312yes—
335C11×#102C2312yes—
336C11×#102C2312yes—
337C11×#102C2312yes—
338C11×#102C2312yes—
339C11×C22⋊C8C2312yes—
340C11×C22⋊C8C2312yes—
341C11×C22⋊C8C2312yes—
342C11×#97C2312yes—
343C11×#97C2312yes—
344C4×C8×C11C2312yes—
345#61978C1111yesmaximal, characteristic, direct product factor, Sylow
346C24×C11—21no—
347C24×C11—21no—
348C11×#41—22no—
349C11×#41—42no—
350C11×#41—41no—
351C11×#41—44no—
352C11×#41—42no—
353C11×#41—42no—
354C11×#41—42no—
355C11×#41—42no—
356C11×#41—82no—
357C2×Q8×C11—21no—
358C2×Q8×C11—21no—
359C2×Q8×C11—22no—
360C2×Q8×C11—42no—
361C2×Q8×C11—42no—
362C2×Q8×C11C2×D411yescharacteristic
363C2×Q8×C11C2412yes—
364C2×Q8×C11C2412yes—
365C2×Q8×C11C2411yescharacteristic
366C2×D4×C11—22no—
367C2×D4×C11—22no—
368C2×D4×C11—21no—
369C2×D4×C11—21no—
370C2×D4×C11—21no—
371C2×D4×C11—22no—
372C2×D4×C11—21no—
373C2×D4×C11—21no—
374C2×D4×C11—22no—
375C2×D4×C11—22no—
376C2×D4×C11—21no—
377C2×D4×C11—21no—
378C2×D4×C11—21no—
379C2×D4×C11—21no—
380C2×D4×C11—21no—
381C2×D4×C11—21no—
382C2×D4×C11—41no—
383C2×D4×C11—41no—
384C2×D4×C11—44no—
385C2×D4×C11C2×D411yescharacteristic
386C2×D4×C11C2×D411yescharacteristic
387C2×D4×C11C2×D411yescharacteristic
388C2×D4×C11C2412yes—
389C2×D4×C11C2411yescharacteristic
390C2×D4×C11C2411yescharacteristic
391C2×D4×C11C2411yescharacteristic
392C22×C4×C11—21no—
393C22×C4×C11—21no—
394C22×C4×C11—22no—
395C22×C4×C11—21no—
396C22×C4×C11—21no—
397C22×C4×C11—21no—
398C22×C4×C11—22no—
399C22×C4×C11—21no—
400C22×C4×C11—21no—
401C22×C4×C11—21no—
402C22×C4×C11—21no—
403C22×C4×C11—22no—
404C22×C4×C11—22no—
405C22×C4×C11—21no—
406C22×C4×C11—21no—
407C22×C4×C11—82no—
408C22×C4×C11—82no—
409C22×C4×C11C2×D411yescharacteristic
410C22×C4×C11C2×D411yescharacteristic
411C22×C4×C11C2×D411yescharacteristic
412C22×C4×C11C2×D411yescharacteristic
413C22×C4×C11C2×D411yescharacteristic
414C22×C4×C11C2×D411yescharacteristic
415C22×C4×C11C2411yescharacteristic
416C22×C4×C11C2411yescharacteristic
417C22×C4×C11C2411yescharacteristic
418C11×Q16—42no—
419C11×Q16—42no—
420C11×SD16—24no—
421C11×SD16—24no—
422C11×SD16—42no—
423C11×SD16—42no—
424C11×SD16—42no—
425C11×SD16—42no—
426C11×SD16—42no—
427C11×D8—24no—
428C11×D8—42no—
429C11×D8—42no—
430C11×M16—42no—
431C2×C8×C11—42no—
432C2×C8×C11—42no—
433C2×C8×C11C2412yes—
434C2×C8×C11C2412yes—
435C2×C8×C11C2412yes—
436C2×C8×C11C2412yes—
437C11×C4⋊C4—22no—
438C11×C4⋊C4—21no—
439C11×C4⋊C4—21no—
440C11×C4⋊C4—21no—
441C11×C4⋊C4—21no—
442C11×C4⋊C4—21no—
443C11×C4⋊C4—21no—
444C11×C4⋊C4—21no—
445C11×C4⋊C4—22no—
446C11×C4⋊C4—22no—
447C11×C4⋊C4—22no—
448C11×C4⋊C4—21no—
449C11×C4⋊C4—21no—
450C11×C4⋊C4—21no—
451C11×C4⋊C4—21no—
452C11×C4⋊C4—21no—
453C11×C4⋊C4—21no—
454C11×C4⋊C4—21no—
455C11×C4⋊C4—21no—
456C11×C4⋊C4—21no—
457C11×C4⋊C4—22no—
458C11×C4⋊C4—22no—
459C11×C4⋊C4C2×D411yescharacteristic
460C11×C4⋊C4C2×D411yescharacteristic
461C11×C4⋊C4C2×D411yescharacteristic
462C11×C4⋊C4C2×D411yescharacteristic
463C11×C4⋊C4C2×D411yescharacteristic
464C11×C4⋊C4C2×D411yescharacteristic
465C11×C4⋊C4C2412yes—
466C11×C4⋊C4C2411yescharacteristic
467C11×C4⋊C4C2411yescharacteristic
468C11×C4⋊C4C2411yescharacteristic
469C11×C4⋊C4C2411yescharacteristic
470C11×C22⋊C4—21no—
471C11×C22⋊C4—21no—
472C11×C22⋊C4—22no—
473C11×C22⋊C4—22no—
474C11×C22⋊C4—21no—
475C11×C22⋊C4—21no—
476C11×C22⋊C4—21no—
477C11×C22⋊C4—21no—
478C11×C22⋊C4—21no—
479C11×C22⋊C4—21no—
480C11×C22⋊C4—21no—
481C11×C22⋊C4—21no—
482C11×C22⋊C4—21no—
483C11×C22⋊C4—21no—
484C11×C22⋊C4—21no—
485C11×C22⋊C4—21no—
486C11×C22⋊C4—22no—
487C11×C22⋊C4—22no—
488C11×C22⋊C4—21no—
489C11×C22⋊C4—21no—
490C11×C22⋊C4—21no—
491C11×C22⋊C4—21no—
492C11×C22⋊C4—21no—
493C11×C22⋊C4—22no—
494C11×C22⋊C4—22no—
495C11×C22⋊C4—22no—
496C11×C22⋊C4—22no—
497C11×C22⋊C4C2×D411yescharacteristic
498C11×C22⋊C4C2×D411yescharacteristic
499C11×C22⋊C4C2×D411yescharacteristic
500C11×C22⋊C4C2×D411yescharacteristic
501C11×C22⋊C4C2×D411yescharacteristic
502C11×C22⋊C4C2×D411yescharacteristic
503C42×C11—21no—
504C42×C11—21no—
505C42×C11—21no—
506C42×C11—22no—
507C42×C11—22no—
508C42×C11C2×D411yescharacteristic
509C42×C11C2×D411yescharacteristic
510C42×C11C2×D411yescharacteristic
511C42×C11C2×D411yescharacteristic
512C42×C11C2×D411yescharacteristic
513C42×C11C2×D411yescharacteristic
514C42×C11C2411yescharacteristic
515C42×C11C2411yescharacteristic
516C42×C11C2411yescharacteristic
517C42×C11C2411yescharacteristic
518#3511C2×C1111yescharacteristic, complemented
519#3481C2×C1111yescharacteristic, complemented
520#3401C2×C1112yescomplemented
521#3376C2×C1112yescomplemented
522#3316C2×C1112yescomplemented
523#3307C2×C1112yescomplemented
524#3301C2×C1112yescomplemented
525#3282C2×C1112yescomplemented
526#3267C2×C1112yescomplemented
527#3265C2×C1112yescomplemented
528#3252C2×C1111yescharacteristic, complemented
529#3247C2×C1111yescharacteristic, complemented
530#3246C2×C1111yescharacteristic, complemented
531#3218C2×C1111yescharacteristic, complemented
532#3214C2×C1111yescharacteristic, complemented
533#3212C2×C1111yescharacteristic, complemented
534#3116C2×C1111yescharacteristic, complemented
535#3109C2×C1111yescharacteristic, complemented
536#3101C2×C1111yescharacteristic, complemented
537#3036C2×C1111yescharacteristic, complemented
538#3035C2×C1111yescharacteristic, complemented
539C2×#461C2×C1111yescharacteristic, complemented
540#2990C2×C1111yescharacteristic, complemented
541C23×C11—21no—
542C23×C11—22no—
543C23×C11—21no—
544C23×C11—21no—
545C23×C11—42no—
546C23×C11—42no—
547C23×C11—42no—
548C23×C11—42no—
549C23×C11—81no—
550C23×C11—81no—
551C23×C11C22×D411yescharacteristic
552C23×C11C22×D411yescharacteristic
553C23×C11C22×D411yescharacteristic
554Q8×C11—22no—
555Q8×C11—22no—
556Q8×C11—21no—
557Q8×C11—22no—
558Q8×C11—21no—
559Q8×C11—22no—
560Q8×C11—41no—
561Q8×C11—42no—
562Q8×C11—82no—
563Q8×C11—81no—
564D4×C11—22no—
565D4×C11—22no—
566D4×C11—22no—
567D4×C11—21no—
568D4×C11—21no—
569D4×C11—21no—
570D4×C11—21no—
571D4×C11—22no—
572D4×C11—21no—
573D4×C11—41no—
574D4×C11—42no—
575D4×C11—42no—
576D4×C11—42no—
577D4×C11—42no—
578D4×C11—42no—
579D4×C11—42no—
580D4×C11—42no—
581D4×C11—44no—
582D4×C11—42no—
583D4×C11—81no—
584D4×C11—82no—
585D4×C11—82no—
586D4×C11—81no—
587D4×C11—81no—
588D4×C11H(5,𝔽2)12yes—
589C2×C4×C11—22no—
590C2×C4×C11—22no—
591C2×C4×C11—22no—
592C2×C4×C11—22no—
593C2×C4×C11—21no—
594C2×C4×C11—21no—
595C2×C4×C11—21no—
596C2×C4×C11—21no—
597C2×C4×C11—21no—
598C2×C4×C11—21no—
599C2×C4×C11—21no—
600C2×C4×C11—21no—
601C2×C4×C11—22no—
602C2×C4×C11—21no—
603C2×C4×C11—22no—
604C2×C4×C11—22no—
605C2×C4×C11—21no—
606C2×C4×C11—21no—
607C2×C4×C11—41no—
608C2×C4×C11—41no—
609C2×C4×C11—42no—
610C2×C4×C11—42no—
611C2×C4×C11—44no—
612C2×C4×C11—42no—
613C2×C4×C11—42no—
614C2×C4×C11—42no—
615C2×C4×C11—81no—
616C2×C4×C11—81no—
617C2×C4×C11—81no—
618C2×C4×C11—81no—
619C2×C4×C11—82no—
620C2×C4×C11—82no—
621C2×C4×C11—81no—
622C2×C4×C11—81no—
623C2×C4×C11—82no—
624C2×C4×C11C22×D411yescharacteristic
625C2×C4×C11C22×D411yescharacteristic
626C2×C4×C11C22×D411yescharacteristic
627C2×C4×C11C22×D411yescharacteristic
628C2×C4×C11C22×D411yescharacteristic
629C2×C4×C11C22×D411yescharacteristic
630C2×C4×C11C22×D411yescharacteristic
631C2×C4×C11C22×D411yescharacteristic
632C2×C4×C11C22×D411yescharacteristic
633C2×C4×C11C22×D411yescharacteristic
634C2×C4×C11C22×D411yescharacteristic
635C2×C4×C11C2511yescharacteristic
636C8×C11—22no—
637C8×C11—22no—
638C8×C11—22no—
639C8×C11—22no—
640C2×AGL(1,ℤ/8)C22×C1112yes—
641C2×#135C22×C1112yes—
642C22×SD16C22×C1112yes—
643#559C22×C1111yescharacteristic
644#556C22×C1112yescomplemented
645#555—21no—
646#554—21no—
647#554C22×C1111yescharacteristic
648#554C22×C1111yescharacteristic
649#553—21no—
650#553—21no—
651#553—21no—
652#553C22×C1111yescharacteristic
653#553C22×C1111yescharacteristic
654#551—21no—
655#551—21no—
656#548C22×C1112yes—
657#548C22×C1112yescomplemented
658#547C22×C1112yescomplemented
659#546—21no—
660#546C22×C1111yescharacteristic
661#546C22×C1111yescharacteristic
662D42C22×C1111yescharacteristic
663#542—21no—
664#542—21no—
665#537—21no—
666#533C22×C1111yescharacteristic, complemented
667#533C22×C1111yescharacteristic, complemented
668#532C22×C1111yescharacteristic
669#532C22×C1111yescharacteristic, complemented
670#532C22×C1111yescharacteristic, complemented
671#532C22×C1111yescharacteristic, complemented
672C2×C4⋊Q8C22×C1111yescharacteristic, complemented
673#529—21no—
674#529C22×C1111yescharacteristic
675#529C22×C1111yescharacteristic
676#525—21no—
677#525—21no—
678#520—21no—
679C4×#41C22×C1111yescharacteristic
680C4×#41C22×C1111yescharacteristic
681C2×C4×D4—21no—
682C2×C4×D4C22×C1111yescharacteristic
683C2×C4×D4C22×C1111yescharacteristic
684#497C22×C1112yescomplemented
685#496C22×C1112yes—
686#495C22×C1112yescomplemented
687#491C22×C1112yescomplemented
688#489C22×C1112yescomplemented
689#488C22×C1112yescomplemented
690#485C22×C1112yescomplemented
691#483C22×C1112yescomplemented
692#481C22×C1112yescomplemented
693#479C22×C1112yescomplemented
694#478C22×C1112yescomplemented
695#477C22×C1111yescharacteristic, complemented
696#476C22×C1111yescharacteristic
697#476C22×C1111yescharacteristic, complemented
698#476C22×C1111yescharacteristic, complemented
699#475C22×C1112yescomplemented
700#470C22×C1112yescomplemented
701#468C22×C1112yes—
702#466C22×C1112yes—
703#465C22×C1112yescomplemented
704#465C22×C1112yescomplemented
705#465C22×C1112yescomplemented
706#464C22×C1112yescomplemented
707#464C22×C1112yescomplemented
708#463C22×C1112yes—
709#463C22×C1112yes—
710#463C22×C1112yescomplemented
711#463C22×C1112yescomplemented
712#462C22×C1111yescharacteristic, complemented
713#462C22×C1111yescharacteristic, complemented
714#461C22×C1111yescharacteristic
715#461C22×C1111yescharacteristic
716#461C22×C1112yes—
717#461C22×C1111yescharacteristic, complemented
718#461C22×C1112yescomplemented
719#461C22×C1111yescharacteristic, complemented
720#461C22×C1111yescharacteristic, complemented
721#461C22×C1111yescharacteristic, complemented
722#460C22×C1112yes—
723#460C22×C1111yescharacteristic, complemented
724#459C22×C1111yescharacteristic
725#459C22×C1111yescharacteristic, complemented
726#459C22×C1111yescharacteristic, complemented
727#452C22×C1112yes—
728#452C22×C1112yescomplemented
729#451C22×C1112yescomplemented
730#450C22×C1112yes—
731#449C22×C1112yes—
732#449C22×C1112yescomplemented
733#449C22×C1112yescomplemented
734#448C22×C1112yes—
735#447C22×C1112yes—
736#446C22×C1112yescomplemented
737#442C22×C1112yes—
738#442C22×C1112yescomplemented
739#441C22×C1112yescomplemented
740#440C22×C1112yes—
741C4×SD16C22×C1112yes—
742C4×SD16C22×C1112yescomplemented
743#435C22×C1112yes—
744#435C22×C1112yescomplemented
745C8×D4C22×C1112yescomplemented
746#432C22×C1111yescharacteristic, complemented
747#432C22×C1111yescharacteristic, complemented
748#431C22×C1111yescharacteristic, complemented
749#423C22×C1111yescharacteristic, complemented
750C2×C4⋊C8C22×C1111yescharacteristic, complemented
751C2×C4⋊C8C22×C1111yescharacteristic, complemented
752#417C22×C1112yescomplemented
753#416C22×C1112yescomplemented
754C2×#103C22×C1112yescomplemented
755C22×C11—21no—
756C22×C11—21no—
757C22×C11—21no—
758C22×C11—21no—
759C22×C11—22no—
760C22×C11—21no—
761C22×C11—21no—
762C22×C11—21no—
763C22×C11—21no—
764C22×C11—41no—
765C22×C11—41no—
766C22×C11—42no—
767C22×C11—41no—
768C22×C11—41no—
769C22×C11—42no—
770C22×C11—41no—
771C22×C11—41no—
772C22×C11—41no—
773C22×C11—41no—
774C22×C11—42no—
775C22×C11—84no—
776C22×C11—84no—
777C22×C11#57512yes—
778C22×C11C23×D411yescharacteristic
779C4×C11—21no—
780C4×C11—21no—
781C4×C11—21no—
782C4×C11—21no—
783C4×C11—21no—
784C4×C11—21no—
785C4×C11—21no—
786C4×C11—21no—
787C4×C11—21no—
788C4×C11—21no—
789C4×C11—41no—
790C4×C11—42no—
791C4×C11—42no—
792C4×C11—41no—
793C4×C11—42no—
794C4×C11—41no—
795C4×C11—41no—
796C4×C11—41no—
797C4×C11#57712yes—
798C4×C11C2×H(5,𝔽2)11yescharacteristic
799C4×C11#58511yescharacteristic
800C2×#41—21no—
801C2×#41—21no—
802C2×#41D4×C1111yescharacteristic
803C2×#41C23×C1111yescharacteristic
804C2×#41C23×C1112yes—
805C2×#41C23×C1112yes—
806C22×Q8C23×C1112yes—
807C22×D4—21no—
808C22×D4C23×C1111yescharacteristic
809C22×D4C23×C1111yescharacteristic
810C23×C4—21no—
811C23×C4—21no—
812AGL(1,ℤ/8)—44no—
813#135—44no—
814C2×Q16C23×C1112yes—
815C2×Q16C23×C1112yes—
816C2×SD16—44no—
817C2×SD16C23×C1112yes—
818C2×SD16C23×C1112yes—
819C2×SD16C23×C1112yes—
820C2×SD16C23×C1112yes—
821C2×SD16C23×C1112yes—
822C2×SD16C23×C1112yes—
823C2×SD16C23×C1112yes—
824C2×D8C23×C1112yes—
825C2×D8C23×C1112yes—
826C2×D8C23×C1112yes—
827C2×M16C23×C1112yes—
828C22×C8C23×C1112yes—
829C22×C8C23×C1112yes—
830C4⋊Q8—21no—
831C4⋊Q8—21no—
832C4⋊Q8C23×C1111yescharacteristic
833C4⋊Q8C23×C1111yescharacteristic
834C4⋊Q8C23×C1112yes—
835C4⋊Q8C23×C1111yescharacteristic
836C4⋊Q8C23×C1111yescharacteristic
837#127C23×C1111yescharacteristic
838#127C23×C1111yescharacteristic
839#126—21no—
840#126—21no—
841#126—22no—
842#126—22no—
843#126—21no—
844#126—21no—
845#125—21no—
846#125—21no—
847#125—21no—
848#125C23×C1111yescharacteristic
849#125C23×C1111yescharacteristic
850#124—21no—
851#124—22no—
852#124—22no—
853#124—21no—
854#124—21no—
855#124C23×C1111yescharacteristic
856#124C23×C1111yescharacteristic
857#124C23×C1112yes—
858#124C23×C1112yes—
859#123—21no—
860#123—21no—
861#123—21no—
862#123—21no—
863#123—21no—
864#123—21no—
865#123—21no—
866#123—21no—
867#123—22no—
868#123—22no—
869C22⋊Q8—21no—
870C22⋊Q8—22no—
871C22⋊Q8—21no—
872C22⋊Q8—21no—
873C22⋊Q8—21no—
874C22⋊Q8—21no—
875C22⋊Q8—22no—
876C22⋊Q8—22no—
877C22⋊Q8—21no—
878C22⋊Q8—21no—
879C22⋊Q8C23×C1111yescharacteristic
880C22⋊Q8C23×C1111yescharacteristic
881C22⋊Q8C23×C1112yes—
882C22⋊Q8C23×C1112yes—
883#121—21no—
884#121—21no—
885#121—22no—
886#121—22no—
887#121—22no—
888#121—21no—
889#121—21no—
890#121—21no—
891#121—21no—
892#121—21no—
893#121—21no—
894#121—21no—
895#121—21no—
896#121—21no—
897#121C23×C1111yescharacteristic
898#121C23×C1111yescharacteristic
899#121C23×C1111yescharacteristic
900#121C23×C1111yescharacteristic
901#121C23×C1112yes—
902#120—21no—
903#120—21no—
904#120—21no—
905#120—21no—
906C4×Q8—21no—
907C4×Q8—21no—
908C4×Q8D4×C1111yescharacteristic
909C4×Q8C23×C1111yescharacteristic
910C4×Q8C23×C1111yescharacteristic
911C4×Q8C23×C1112yes—
912C4×Q8C23×C1112yes—
913C4×Q8C23×C1111yescharacteristic
914C4×D4—21no—
915C4×D4—21no—
916C4×D4—21no—
917C4×D4—21no—
918C4×D4—21no—
919C4×D4—21no—
920C4×D4—21no—
921C4×D4—21no—
922C4×D4—22no—
923C4×D4—22no—
924C4×D4—21no—
925C4×D4—21no—
926C4×D4—21no—
927C4×D4—21no—
928C4×D4—21no—
929C4×D4—21no—
930C4×D4—21no—
931C4×D4—21no—
932C4×D4—21no—
933C4×D4—21no—
934C4×D4D4×C1111yescharacteristic
935C4×D4D4×C1111yescharacteristic
936C4×D4D4×C1111yescharacteristic
937C4×D4C23×C1111yescharacteristic
938C4×D4C23×C1111yescharacteristic
939C4×D4C23×C1111yescharacteristic
940C4×D4C23×C1111yescharacteristic
941C4×D4C23×C1111yescharacteristic
942C4×D4C23×C1111yescharacteristic
943C4×D4C23×C1111yescharacteristic
944C4×D4C23×C1111yescharacteristic
945C4×D4C23×C1112yes—
946C4×D4C23×C1111yescharacteristic
947C4×D4C23×C1111yescharacteristic
948C4×D4C23×C1111yescharacteristic
949#117—21no—
950#117—21no—
951#117—22no—
952#117—21no—
953#117—21no—
954#117—21no—
955#117D4×C1111yescharacteristic
956#117D4×C1111yescharacteristic
957#117D4×C1111yescharacteristic
958#117C23×C1111yescharacteristic
959C2×C4⋊C4—21no—
960C2×C4⋊C4—21no—
961C2×C4⋊C4—21no—
962C2×C4⋊C4—22no—
963C2×C4⋊C4C23×C1111yescharacteristic
964C2×C4⋊C4C23×C1111yescharacteristic
965C2×C22⋊C4—21no—
966C2×C22⋊C4—21no—
967C2×C22⋊C4—21no—
968C2×C22⋊C4—21no—
969C2×C42—21no—
970C2×C42C23×C1111yescharacteristic
971C2×C42C23×C1111yescharacteristic
972C2×C42C23×C1111yescharacteristic
973#107C23×C1112yes—
974#106C23×C1112yes—
975#106C23×C1112yes—
976#106C23×C1112yes—
977C4⋊C8C23×C1111yescharacteristic
978C4⋊C8C23×C1111yescharacteristic
979C4⋊C8C23×C1111yescharacteristic
980C4⋊C8C23×C1112yes—
981C4⋊C8C23×C1112yes—
982C4⋊C8C23×C1112yes—
983C4⋊C8C23×C1111yescharacteristic
984#103C23×C1112yes—
985#103C23×C1112yes—
986#103C23×C1112yes—
987#103C23×C1112yes—
988#103C23×C1112yes—
989#103C23×C1112yes—
990#103C23×C1112yes—
991#103C23×C1112yes—
992#103C23×C1112yes—
993#102C23×C1112yes—
994#102C23×C1112yes—
995#102C23×C1112yes—
996#102C23×C1112yes—
997#102C23×C1112yes—
998#102C23×C1112yes—
999#102C23×C1112yes—
1000C22⋊C8C23×C1112yes—
1001C22⋊C8C23×C1112yes—
1002C22⋊C8C23×C1112yes—
1003#97C23×C1112yes—
1004#97C23×C1112yes—
1005C4×C8C23×C1112yes—
1006C2×C11—22no—
1007C2×C11—41no—
1008C2×C11—41no—
1009C2×C11—42no—
1010C2×C11—82no—
1011C2×C11—81no—
1012C2×C11—81no—
1013C2×C11#348811yescharacteristic
1014C2×C11C2×#57511yescharacteristic
1015C2×C11C2×#57711yescharacteristic
1016C24—21no—
1017C24—21no—
1018#41—22no—
1019#41—42no—
1020#41—41no—
1021#41—44no—
1022#41—42no—
1023#41—42no—
1024#41—42no—
1025#41—42no—
1026#41—82no—
1027C2×Q8—21no—
1028C2×Q8—21no—
1029C2×Q8—22no—
1030C2×Q8—42no—
1031C2×Q8—42no—
1032C2×Q8C2×D4×C1111yescharacteristic
1033C2×Q8C24×C1112yes—
1034C2×Q8C24×C1112yes—
1035C2×Q8C24×C1111yescharacteristic
1036C2×D4—22no—
1037C2×D4—22no—
1038C2×D4—21no—
1039C2×D4—21no—
1040C2×D4—21no—
1041C2×D4—22no—
1042C2×D4—21no—
1043C2×D4—21no—
1044C2×D4—22no—
1045C2×D4—22no—
1046C2×D4—21no—
1047C2×D4—21no—
1048C2×D4—21no—
1049C2×D4—21no—
1050C2×D4—21no—
1051C2×D4—21no—
1052C2×D4—41no—
1053C2×D4—41no—
1054C2×D4—44no—
1055C2×D4C2×D4×C1111yescharacteristic
1056C2×D4C2×D4×C1111yescharacteristic
1057C2×D4C2×D4×C1111yescharacteristic
1058C2×D4C24×C1112yes—
1059C2×D4C24×C1111yescharacteristic
1060C2×D4C24×C1111yescharacteristic
1061C2×D4C24×C1111yescharacteristic
1062C22×C4—21no—
1063C22×C4—21no—
1064C22×C4—22no—
1065C22×C4—21no—
1066C22×C4—21no—
1067C22×C4—21no—
1068C22×C4—22no—
1069C22×C4—21no—
1070C22×C4—21no—
1071C22×C4—21no—
1072C22×C4—21no—
1073C22×C4—22no—
1074C22×C4—22no—
1075C22×C4—21no—
1076C22×C4—21no—
1077C22×C4—82no—
1078C22×C4—82no—
1079C22×C4C2×D4×C1111yescharacteristic
1080C22×C4C2×D4×C1111yescharacteristic
1081C22×C4C2×D4×C1111yescharacteristic
1082C22×C4C2×D4×C1111yescharacteristic
1083C22×C4C2×D4×C1111yescharacteristic
1084C22×C4C2×D4×C1111yescharacteristic
1085C22×C4C24×C1111yescharacteristic
1086C22×C4C24×C1111yescharacteristic
1087C22×C4C24×C1111yescharacteristic
1088Q16—42no—
1089Q16—42no—
1090SD16—24no—
1091SD16—24no—
1092SD16—42no—
1093SD16—42no—
1094SD16—42no—
1095SD16—42no—
1096SD16—42no—
1097D8—24no—
1098D8—42no—
1099D8—42no—
1100M16—42no—
1101C2×C8—42no—
1102C2×C8—42no—
1103C2×C8C24×C1112yes—
1104C2×C8C24×C1112yes—
1105C2×C8C24×C1112yes—
1106C2×C8C24×C1112yes—
1107C4⋊C4—22no—
1108C4⋊C4—21no—
1109C4⋊C4—21no—
1110C4⋊C4—21no—
1111C4⋊C4—21no—
1112C4⋊C4—21no—
1113C4⋊C4—21no—
1114C4⋊C4—21no—
1115C4⋊C4—22no—
1116C4⋊C4—22no—
1117C4⋊C4—22no—
1118C4⋊C4—21no—
1119C4⋊C4—21no—
1120C4⋊C4—21no—
1121C4⋊C4—21no—
1122C4⋊C4—21no—
1123C4⋊C4—21no—
1124C4⋊C4—21no—
1125C4⋊C4—21no—
1126C4⋊C4—21no—
1127C4⋊C4—22no—
1128C4⋊C4—22no—
1129C4⋊C4C2×D4×C1111yescharacteristic
1130C4⋊C4C2×D4×C1111yescharacteristic
1131C4⋊C4C2×D4×C1111yescharacteristic
1132C4⋊C4C2×D4×C1111yescharacteristic
1133C4⋊C4C2×D4×C1111yescharacteristic
1134C4⋊C4C2×D4×C1111yescharacteristic
1135C4⋊C4C24×C1112yes—
1136C4⋊C4C24×C1111yescharacteristic
1137C4⋊C4C24×C1111yescharacteristic
1138C4⋊C4C24×C1111yescharacteristic
1139C4⋊C4C24×C1111yescharacteristic
1140C22⋊C4—21no—
1141C22⋊C4—21no—
1142C22⋊C4—22no—
1143C22⋊C4—22no—
1144C22⋊C4—21no—
1145C22⋊C4—21no—
1146C22⋊C4—21no—
1147C22⋊C4—21no—
1148C22⋊C4—21no—
1149C22⋊C4—21no—
1150C22⋊C4—21no—
1151C22⋊C4—21no—
1152C22⋊C4—21no—
1153C22⋊C4—21no—
1154C22⋊C4—21no—
1155C22⋊C4—21no—
1156C22⋊C4—22no—
1157C22⋊C4—22no—
1158C22⋊C4—21no—
1159C22⋊C4—21no—
1160C22⋊C4—21no—
1161C22⋊C4—21no—
1162C22⋊C4—21no—
1163C22⋊C4—22no—
1164C22⋊C4—22no—
1165C22⋊C4—22no—
1166C22⋊C4—22no—
1167C22⋊C4C2×D4×C1111yescharacteristic
1168C22⋊C4C2×D4×C1111yescharacteristic
1169C22⋊C4C2×D4×C1111yescharacteristic
1170C22⋊C4C2×D4×C1111yescharacteristic
1171C22⋊C4C2×D4×C1111yescharacteristic
1172C22⋊C4C2×D4×C1111yescharacteristic
1173C42—21no—
1174C42—21no—
1175C42—21no—
1176C42—22no—
1177C42—22no—
1178C42C2×D4×C1111yescharacteristic
1179C42C2×D4×C1111yescharacteristic
1180C42C2×D4×C1111yescharacteristic
1181C42C2×D4×C1111yescharacteristic
1182C42C2×D4×C1111yescharacteristic
1183C42C2×D4×C1111yescharacteristic
1184C42C24×C1111yescharacteristic
1185C42C24×C1111yescharacteristic
1186C42C24×C1111yescharacteristic
1187C42C24×C1111yescharacteristic
1188C11#6197811yescharacteristic, direct product factor, Sylow
1189C23—21no—
1190C23—22no—
1191C23—21no—
1192C23—21no—
1193C23—42no—
1194C23—42no—
1195C23—42no—
1196C23—42no—
1197C23—81no—
1198C23—81no—
1199C23C22×D4×C1111yescharacteristic
1200C23C22×D4×C1111yescharacteristic
1201C23C22×D4×C1111yescharacteristic
1202Q8—22no—
1203Q8—22no—
1204Q8—21no—
1205Q8—22no—
1206Q8—21no—
1207Q8—22no—
1208Q8—41no—
1209Q8—42no—
1210Q8—82no—
1211Q8—81no—
1212D4—22no—
1213D4—22no—
1214D4—22no—
1215D4—21no—
1216D4—21no—
1217D4—21no—
1218D4—21no—
1219D4—22no—
1220D4—21no—
1221D4—41no—
1222D4—42no—
1223D4—42no—
1224D4—42no—
1225D4—42no—
1226D4—42no—
1227D4—42no—
1228D4—42no—
1229D4—44no—
1230D4—42no—
1231D4—81no—
1232D4—82no—
1233D4—82no—
1234D4—81no—
1235D4—81no—
1236D4C11×H(5,𝔽2)12yes—
1237C2×C4—22no—
1238C2×C4—22no—
1239C2×C4—22no—
1240C2×C4—22no—
1241C2×C4—21no—
1242C2×C4—21no—
1243C2×C4—21no—
1244C2×C4—21no—
1245C2×C4—21no—
1246C2×C4—21no—
1247C2×C4—21no—
1248C2×C4—21no—
1249C2×C4—22no—
1250C2×C4—21no—
1251C2×C4—22no—
1252C2×C4—22no—
1253C2×C4—21no—
1254C2×C4—21no—
1255C2×C4—41no—
1256C2×C4—41no—
1257C2×C4—42no—
1258C2×C4—42no—
1259C2×C4—44no—
1260C2×C4—42no—
1261C2×C4—42no—
1262C2×C4—42no—
1263C2×C4—81no—
1264C2×C4—81no—
1265C2×C4—81no—
1266C2×C4—81no—
1267C2×C4—82no—
1268C2×C4—82no—
1269C2×C4—81no—
1270C2×C4—81no—
1271C2×C4—82no—
1272C2×C4C22×D4×C1111yescharacteristic
1273C2×C4C22×D4×C1111yescharacteristic
1274C2×C4C22×D4×C1111yescharacteristic
1275C2×C4C22×D4×C1111yescharacteristic
1276C2×C4C22×D4×C1111yescharacteristic
1277C2×C4C22×D4×C1111yescharacteristic
1278C2×C4C22×D4×C1111yescharacteristic
1279C2×C4C22×D4×C1111yescharacteristic
1280C2×C4C22×D4×C1111yescharacteristic
1281C2×C4C22×D4×C1111yescharacteristic
1282C2×C4C22×D4×C1111yescharacteristic
1283C2×C4C25×C1111yescharacteristic
1284C8—22no—
1285C8—22no—
1286C8—22no—
1287C8—22no—
1288C22—21no—
1289C22—21no—
1290C22—21no—
1291C22—21no—
1292C22—22no—
1293C22—21no—
1294C22—21no—
1295C22—21no—
1296C22—21no—
1297C22—41no—
1298C22—41no—
1299C22—42no—
1300C22—41no—
1301C22—41no—
1302C22—42no—
1303C22—41no—
1304C22—41no—
1305C22—41no—
1306C22—41no—
1307C22—42no—
1308C22—84no—
1309C22—84no—
1310C22C11×#57512yes—
1311C22C23×D4×C1111yescharacteristic
1312C4—21no—
1313C4—21no—
1314C4—21no—
1315C4—21no—
1316C4—21no—
1317C4—21no—
1318C4—21no—
1319C4—21no—
1320C4—21no—
1321C4—21no—
1322C4—41no—
1323C4—42no—
1324C4—42no—
1325C4—41no—
1326C4—42no—
1327C4—41no—
1328C4—41no—
1329C4—41no—
1330C4C11×#57712yes—
1331C4C2×C11×H(5,𝔽2)11yescharacteristic
1332C4C11×#58511yescharacteristic
1333C2—22no—
1334C2—41no—
1335C2—41no—
1336C2—42no—
1337C2—81no—
1338C2—81no—
1339C2—82no—
1340C2C11×#348811yescharacteristic
1341C2C2×C11×#57511yescharacteristic
1342C2C2×C11×#57711yescharacteristic
subgroupG/H
center, socleC22×C11C23×D4
commutator, Frattini, cosocleC2×C4C25×C11
LCSG ▷ C2×C4 ▷ C2 ▷ C1
UCSC1 ◁ C22×C11 ◁ C4×C11×#41 ◁ G

Complements

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

NH ≅ G/Ntype
1. C11×#3511C2semidirect
2. C11×#3481C2semidirect
3. C11×#3401C2semidirect
4. C11×#3376C2semidirect
5. C11×#3316C2semidirect
6. C11×#3307C2semidirect
7. C11×#3301C2semidirect
8. C11×#3282C2semidirect
9. C11×#3267C2semidirect
10. C11×#3265C2semidirect
11. C11×#3252C2semidirect
12. C11×#3247C2semidirect
13. C11×#3246C2semidirect
14. C11×#3218C2semidirect
15. C11×#3214C2semidirect
16. C11×#3212C2semidirect
17. C11×#3116C2semidirect
18. C11×#3109C2semidirect
19. C11×#3101C2semidirect
20. C11×#3036C2semidirect
21. C11×#3035C2semidirect
22. C2×C11×#461C2semidirect
23. C11×#2990C2semidirect
28. C11×#556C22semidirect
41. C11×#548C22semidirect
42. C11×#547C22semidirect
50. C11×#533C22semidirect
51. C11×#533C22semidirect
53. C11×#532C22semidirect
54. C11×#532C22semidirect
55. C11×#532C22semidirect
56. C2×C11×C4⋊Q8C22semidirect
68. C11×#497C22semidirect
70. C11×#495C22semidirect
71. C11×#491C22semidirect
72. C11×#489C22semidirect
73. C11×#488C22semidirect
74. C11×#485C22semidirect
75. C11×#483C22semidirect
76. C11×#481C22semidirect
77. C11×#479C22semidirect
78. C11×#478C22semidirect
79. C11×#477C22semidirect
81. C11×#476C22semidirect
82. C11×#476C22semidirect
83. C11×#475C22semidirect
84. C11×#470C22semidirect
87. C11×#465C22semidirect
88. C11×#465C22semidirect
89. C11×#465C22semidirect
90. C11×#464C22semidirect
91. C11×#464C22semidirect
94. C11×#463C22semidirect
95. C11×#463C22semidirect
96. C11×#462C22semidirect
97. C11×#462C22semidirect
101. C11×#461C22semidirect
102. C11×#461C22semidirect
103. C11×#461C22semidirect
104. C11×#461C22semidirect
105. C11×#461C22semidirect
107. C11×#460C22semidirect
109. C11×#459C22semidirect
110. C11×#459C22semidirect
112. C11×#452C22semidirect
113. C11×#451C22semidirect
116. C11×#449C22semidirect
117. C11×#449C22semidirect
120. C11×#446C22semidirect
122. C11×#442C22semidirect
123. C11×#441C22semidirect
126. C4×C11×SD16C22semidirect
128. C11×#435C22semidirect
129. C8×D4×C11C22semidirect
130. C11×#432C22semidirect
131. C11×#432C22semidirect
132. C11×#431C22semidirect
133. C11×#423C22semidirect
134. C2×C11×C4⋊C8C22semidirect
135. C2×C11×C4⋊C8C22semidirect
136. C11×#417C22semidirect
137. C11×#416C22semidirect
138. C2×C11×#103C22semidirect
345. #61978C11direct (N × H)
518. #3511C2×C11semidirect
519. #3481C2×C11semidirect
520. #3401C2×C11semidirect
521. #3376C2×C11semidirect
522. #3316C2×C11semidirect
523. #3307C2×C11semidirect
524. #3301C2×C11semidirect
525. #3282C2×C11semidirect
526. #3267C2×C11semidirect
527. #3265C2×C11semidirect
528. #3252C2×C11semidirect
529. #3247C2×C11semidirect
530. #3246C2×C11semidirect
531. #3218C2×C11semidirect
532. #3214C2×C11semidirect
533. #3212C2×C11semidirect
534. #3116C2×C11semidirect
535. #3109C2×C11semidirect
536. #3101C2×C11semidirect
537. #3036C2×C11semidirect
538. #3035C2×C11semidirect
539. C2×#461C2×C11semidirect
540. #2990C2×C11semidirect
644. #556C22×C11semidirect
657. #548C22×C11semidirect
658. #547C22×C11semidirect
666. #533C22×C11semidirect
667. #533C22×C11semidirect
669. #532C22×C11semidirect
670. #532C22×C11semidirect
671. #532C22×C11semidirect
672. C2×C4⋊Q8C22×C11semidirect
684. #497C22×C11semidirect
686. #495C22×C11semidirect
687. #491C22×C11semidirect
688. #489C22×C11semidirect
689. #488C22×C11semidirect
690. #485C22×C11semidirect
691. #483C22×C11semidirect
692. #481C22×C11semidirect
693. #479C22×C11semidirect
694. #478C22×C11semidirect
695. #477C22×C11semidirect
697. #476C22×C11semidirect
698. #476C22×C11semidirect
699. #475C22×C11semidirect
700. #470C22×C11semidirect
703. #465C22×C11semidirect
704. #465C22×C11semidirect
705. #465C22×C11semidirect
706. #464C22×C11semidirect
707. #464C22×C11semidirect
710. #463C22×C11semidirect
711. #463C22×C11semidirect
712. #462C22×C11semidirect
713. #462C22×C11semidirect
717. #461C22×C11semidirect
718. #461C22×C11semidirect
719. #461C22×C11semidirect
720. #461C22×C11semidirect
721. #461C22×C11semidirect
723. #460C22×C11semidirect
725. #459C22×C11semidirect
726. #459C22×C11semidirect
728. #452C22×C11semidirect
729. #451C22×C11semidirect
732. #449C22×C11semidirect
733. #449C22×C11semidirect
736. #446C22×C11semidirect
738. #442C22×C11semidirect
739. #441C22×C11semidirect
742. C4×SD16C22×C11semidirect
744. #435C22×C11semidirect
745. C8×D4C22×C11semidirect
746. #432C22×C11semidirect
747. #432C22×C11semidirect
748. #431C22×C11semidirect
749. #423C22×C11semidirect
750. C2×C4⋊C8C22×C11semidirect
751. C2×C4⋊C8C22×C11semidirect
752. #417C22×C11semidirect
753. #416C22×C11semidirect
754. C2×#103C22×C11semidirect
1188. C11#61978direct (N × H)

Maximal subgroups

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

subgroupindex
C11×#35112
C11×#34812
C11×#34012
C11×#33762
C11×#33162
C11×#33072
C11×#33012
C11×#32822
C11×#32672
C11×#32652
C11×#32522
C11×#32472
C11×#32462
C11×#32182
C11×#32142
C11×#32122
C11×#31162
C11×#31092
C11×#31012
C11×#30362
C11×#30352
C2×C11×#4612
C11×#29902
#6197811