Finite Group Databasebeta

← C11×#22040 #14599233

Subgroups — C11×#22040 #14599233

Order 2816.

1308 conjugacy classes of subgroups.

The subgroup lattice has 624 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C11×#447C211yesmaximal, characteristic
2C4×C11×#121C211yesmaximal, characteristic, complemented
3C2×C11×#390C211yesmaximal, characteristic, complemented
4C11×#1970C212yesmaximal, complemented
5C11×#1934C212yesmaximal, complemented
6C11×#1925C212yesmaximal, complemented
7C11×#1879C212yesmaximal, complemented
8C11×#1874C211yesmaximal, characteristic, complemented
9C11×#1852C211yesmaximal, characteristic, complemented
10C11×#1786C211yesmaximal, characteristic, complemented
11C4×C11×C22⋊C8C211yesmaximal, characteristic, complemented
12C23×D4×C11C2211yescharacteristic
13C22×C11×D8C2212yes—
14C2×C11×#121C2211yescharacteristic
15C2×C4×D4×C11—21no—
16C2×C4×D4×C11C2211yescharacteristic, complemented
17C22×C11×C4⋊C4C2211yescharacteristic
18C22×C11×C22⋊C4—21no—
19C22×C11×C22⋊C4—21no—
20C22×C42×C11C2211yescharacteristic
21C11×#447C418yescomplemented
22C2×C11×#107C2212yescomplemented
23C2×C11×#102C2212yes—
24C2×C11×#102C2212yes—
25C2×C11×#102C2212yes—
26C2×C11×#102C2212yescomplemented
27C2×C11×C22⋊C8C2211yescharacteristic
28C2×C11×C22⋊C8C2211yescharacteristic
29C2×C4×C8×C11C2212yescomplemented
30C11×#390—21no—
31C11×#390—21no—
32C11×#390C2212yes—
33C11×#390C2212yes—
34C11×#390C2211yescharacteristic, complemented
35C11×#389C2211yescharacteristic, complemented
36C11×#388—21no—
37C11×#386—21no—
38C11×#380C2211yescharacteristic
39C4×C11×C4⋊C4C2211yescharacteristic, complemented
40C4×C11×C22⋊C4—21no—
41C11×#340C2212yescomplemented
42C11×#340C2212yescomplemented
43C11×#336C2212yescomplemented
44C25×C11—21no—
45C22×D4×C11—21no—
46C22×D4×C11—21no—
47C22×D4×C11—22no—
48C22×D4×C11—42no—
49C22×D4×C11—42no—
50C22×D4×C11C2×C414yescomplemented
51C22×D4×C11C2311yescharacteristic
52C22×D4×C11C2312yes—
53C23×C4×C11—21no—
54C23×C4×C11—21no—
55C23×C4×C11D411yescharacteristic
56C23×C4×C11D411yescharacteristic
57C23×C4×C11C2311yescharacteristic
58C2×C11×D8—42no—
59C2×C11×D8—42no—
60C2×C11×D8C2×C418yescomplemented
61C22×C8×C11C2312yes—
62C22×C8×C11C2312yes—
63C11×#121—22no—
64C11×#121C2×C414yes—
65C4×D4×C11—42no—
66C4×D4×C11—44no—
67C2×C11×C4⋊C4—21no—
68C2×C11×C4⋊C4—21no—
69C2×C11×C4⋊C4—42no—
70C2×C11×C4⋊C4C2312yes—
71C2×C11×C4⋊C4C2311yescharacteristic
72C2×C11×C4⋊C4C2311yescharacteristic
73C2×C11×C4⋊C4C2311yescharacteristic
74C2×C11×C22⋊C4—21no—
75C2×C11×C22⋊C4—21no—
76C2×C11×C22⋊C4—22no—
77C2×C11×C22⋊C4—22no—
78C2×C11×C22⋊C4—22no—
79C2×C11×C22⋊C4—22no—
80C2×C11×C22⋊C4—21no—
81C2×C11×C22⋊C4—21no—
82C2×C11×C22⋊C4—21no—
83C2×C11×C22⋊C4—44no—
84C2×C11×C22⋊C4—44no—
85C2×C42×C11—21no—
86C2×C42×C11—42no—
87C2×C42×C11D411yescharacteristic
88C2×C42×C11D411yescharacteristic
89C2×C42×C11C2311yescharacteristic
90C2×C42×C11C2311yescharacteristic
91C11×#107—42no—
92C11×#102—42no—
93C11×#102—42no—
94C11×#102—42no—
95C11×#102C2×C418yescomplemented
96C11×C22⋊C8—22no—
97C11×C22⋊C8C2×C414yescomplemented
98C4×C8×C11—42no—
99C11×#95—21no—
100C11×#95—21no—
101C11×#95—21no—
102#22040C1111yesmaximal, characteristic, direct product factor, Sylow
103C24×C11—24no—
104C24×C11—21no—
105C24×C11—22no—
106C24×C11—42no—
107C24×C11—42no—
108C24×C11—42no—
109C24×C11—42no—
110C24×C11—42no—
111C24×C11—42no—
112C24×C11C2×D411yescharacteristic
113C2×D4×C11—24no—
114C2×D4×C11—24no—
115C2×D4×C11—21no—
116C2×D4×C11—22no—
117C2×D4×C11—22no—
118C2×D4×C11—22no—
119C2×D4×C11—22no—
120C2×D4×C11—22no—
121C2×D4×C11—22no—
122C2×D4×C11—22no—
123C2×D4×C11—48no—
124C2×D4×C11—42no—
125C2×D4×C11—42no—
126C2×D4×C11—48no—
127C2×D4×C11—42no—
128C2×D4×C11—42no—
129C2×D4×C11C22×C414yes—
130C2×D4×C11C22×C412yes—
131C22×C4×C11—22no—
132C22×C4×C11—22no—
133C22×C4×C11—22no—
134C22×C4×C11—21no—
135C22×C4×C11—22no—
136C22×C4×C11—21no—
137C22×C4×C11—21no—
138C22×C4×C11—22no—
139C22×C4×C11—41no—
140C22×C4×C11—41no—
141C22×C4×C11—41no—
142C22×C4×C11—42no—
143C22×C4×C11—42no—
144C22×C4×C11—42no—
145C22×C4×C11—42no—
146C22×C4×C11—42no—
147C22×C4×C11—42no—
148C22×C4×C11D814yescomplemented
149C22×C4×C11C22×C412yes—
150C22×C4×C11C2×D411yescharacteristic
151C22×C4×C11C2×D411yescharacteristic
152C22×C4×C11C2×D411yescharacteristic
153C22×C4×C11C2×D411yescharacteristic
154C22×C4×C11C2×D411yescharacteristic
155C22×C4×C11#4112yes—
156C22×C4×C11C2411yescharacteristic
157C11×D8—48no—
158C2×C8×C11—22no—
159C2×C8×C11—22no—
160C2×C8×C11—22no—
161C2×C8×C11—22no—
162C2×C8×C11—22no—
163C2×C8×C11C22×C414yes—
164C11×C4⋊C4—21no—
165C11×C4⋊C4—22no—
166C11×C4⋊C4—22no—
167C11×C4⋊C4—22no—
168C11×C4⋊C4—22no—
169C11×C4⋊C4—42no—
170C11×C4⋊C4—42no—
171C11×C4⋊C4C22×C412yes—
172C11×C22⋊C4—24no—
173C11×C22⋊C4—44no—
174C11×C22⋊C4—42no—
175C11×C22⋊C4—42no—
176C11×C22⋊C4—44no—
177C11×C22⋊C4—44no—
178C11×C22⋊C4—42no—
179C11×C22⋊C4—42no—
180C11×C22⋊C4—44no—
181C42×C11—22no—
182C42×C11—22no—
183C42×C11—41no—
184C42×C11—41no—
185C42×C11—42no—
186C2×#447C2×C1111yescharacteristic
187C4×#121C2×C1111yescharacteristic, complemented
188C2×#390C2×C1111yescharacteristic, complemented
189#1970C2×C1112yescomplemented
190#1934C2×C1112yescomplemented
191#1925C2×C1112yescomplemented
192#1879C2×C1112yescomplemented
193#1874C2×C1111yescharacteristic, complemented
194#1852C2×C1111yescharacteristic, complemented
195#1786C2×C1111yescharacteristic, complemented
196C4×C22⋊C8C2×C1111yescharacteristic, complemented
197C23×C11—21no—
198C23×C11—21no—
199C23×C11—21no—
200C23×C11—21no—
201C23×C11—22no—
202C23×C11—24no—
203C23×C11—48no—
204C23×C11—48no—
205C23×C11—41no—
206C23×C11—42no—
207C23×C11—42no—
208C23×C11—41no—
209C23×C11—42no—
210C23×C11—41no—
211C23×C11—41no—
212C23×C11—42no—
213C23×C11—42no—
214C23×C11—41no—
215C23×C11—41no—
216C23×C11—42no—
217C23×C11—48no—
218C23×C11—84no—
219C23×C11—84no—
220C23×C11—84no—
221C23×C11—84no—
222C23×C11C4×D412yes—
223C23×C11C2×D812yes—
224C23×C11#13512yes—
225C23×C11C22×D411yescharacteristic
226D4×C11—24no—
227D4×C11—24no—
228D4×C11—24no—
229D4×C11—48no—
230D4×C11—48no—
231D4×C11—42no—
232D4×C11—42no—
233D4×C11—42no—
234C2×C4×C11—21no—
235C2×C4×C11—21no—
236C2×C4×C11—21no—
237C2×C4×C11—21no—
238C2×C4×C11—21no—
239C2×C4×C11—21no—
240C2×C4×C11—21no—
241C2×C4×C11—21no—
242C2×C4×C11—24no—
243C2×C4×C11—24no—
244C2×C4×C11—22no—
245C2×C4×C11—21no—
246C2×C4×C11—21no—
247C2×C4×C11—21no—
248C2×C4×C11—44no—
249C2×C4×C11—44no—
250C2×C4×C11—41no—
251C2×C4×C11—41no—
252C2×C4×C11—41no—
253C2×C4×C11—42no—
254C2×C4×C11—41no—
255C2×C4×C11—41no—
256C2×C4×C11—42no—
257C2×C4×C11—41no—
258C2×C4×C11—42no—
259C2×C4×C11—41no—
260C2×C4×C11—41no—
261C2×C4×C11—84no—
262C2×C4×C11—84no—
263C2×C4×C11C4×D412yes—
264C2×C4×C11C2×D812yes—
265C2×C4×C11C2×D812yes—
266C2×C4×C11AGL(1,ℤ/8)12yes—
267C2×C4×C11C23×C411yescharacteristic
268C2×C4×C11C2×#4111yescharacteristic
269C2×C4×C11H(5,𝔽2)12yes—
270C2×C4×C11H(5,𝔽2)12yes—
271C8×C11—24no—
272C8×C11—42no—
273C23×D4C22×C1111yescharacteristic
274C22×D8C22×C1112yes—
275C2×#121C22×C1111yescharacteristic
276C2×C4×D4—21no—
277C2×C4×D4C22×C1111yescharacteristic, complemented
278C22×C4⋊C4C22×C1111yescharacteristic
279C22×C22⋊C4—21no—
280C22×C22⋊C4—21no—
281C22×C42C22×C1111yescharacteristic
282#447C4×C1118yescomplemented
283C2×#107C22×C1112yescomplemented
284C2×#102C22×C1112yes—
285C2×#102C22×C1112yes—
286C2×#102C22×C1112yes—
287C2×#102C22×C1112yescomplemented
288C2×C22⋊C8C22×C1111yescharacteristic
289C2×C22⋊C8C22×C1111yescharacteristic
290C2×C4×C8C22×C1112yescomplemented
291#390—21no—
292#390—21no—
293#390C22×C1112yes—
294#390C22×C1112yes—
295#390C22×C1111yescharacteristic, complemented
296#389C22×C1111yescharacteristic, complemented
297#388—21no—
298#386—21no—
299#380C22×C1111yescharacteristic
300C4×C4⋊C4C22×C1111yescharacteristic, complemented
301C4×C22⋊C4—21no—
302#340C22×C1112yescomplemented
303#340C22×C1112yescomplemented
304#336C22×C1112yescomplemented
305C22×C11—22no—
306C22×C11—22no—
307C22×C11—22no—
308C22×C11—22no—
309C22×C11—22no—
310C22×C11—22no—
311C22×C11—44no—
312C22×C11—42no—
313C22×C11—42no—
314C22×C11—44no—
315C22×C11—42no—
316C22×C11—44no—
317C22×C11—816no—
318C22×C11—81no—
319C22×C11—82no—
320C22×C11—81no—
321C22×C11—82no—
322C22×C11—81no—
323C22×C11—82no—
324C22×C11—81no—
325C22×C11—82no—
326C22×C11C4×D814yes—
327C22×C11C2×C4×D411yescharacteristic
328C22×C11#53411yescharacteristic
329C22×C11#53511yescharacteristic
330C22×C11C22×D811yescharacteristic
331C22×C11C2×#13511yescharacteristic
332C22×C11C2×AGL(1,ℤ/8)11yescharacteristic
333C22×C11#57511yescharacteristic
334C4×C11—22no—
335C4×C11—22no—
336C4×C11—22no—
337C4×C11—22no—
338C4×C11—41no—
339C4×C11—42no—
340C4×C11—81no—
341C4×C11—81no—
342C4×C11—82no—
343C4×C11#51812yes—
344C4×C11#53812yes—
345C25—21no—
346C22×D4—21no—
347C22×D4—21no—
348C22×D4—22no—
349C22×D4—42no—
350C22×D4—42no—
351C22×D4C2×C4×C1114yescomplemented
352C22×D4C23×C1111yescharacteristic
353C22×D4C23×C1112yes—
354C23×C4—21no—
355C23×C4—21no—
356C23×C4D4×C1111yescharacteristic
357C23×C4D4×C1111yescharacteristic
358C23×C4C23×C1111yescharacteristic
359C2×D8—42no—
360C2×D8—42no—
361C2×D8C2×C4×C1118yescomplemented
362C22×C8C23×C1112yes—
363C22×C8C23×C1112yes—
364#121—22no—
365#121C2×C4×C1114yes—
366C4×D4—42no—
367C4×D4—44no—
368C2×C4⋊C4—21no—
369C2×C4⋊C4—21no—
370C2×C4⋊C4—42no—
371C2×C4⋊C4C23×C1112yes—
372C2×C4⋊C4C23×C1111yescharacteristic
373C2×C4⋊C4C23×C1111yescharacteristic
374C2×C4⋊C4C23×C1111yescharacteristic
375C2×C22⋊C4—21no—
376C2×C22⋊C4—21no—
377C2×C22⋊C4—22no—
378C2×C22⋊C4—22no—
379C2×C22⋊C4—22no—
380C2×C22⋊C4—22no—
381C2×C22⋊C4—21no—
382C2×C22⋊C4—21no—
383C2×C22⋊C4—21no—
384C2×C22⋊C4—44no—
385C2×C22⋊C4—44no—
386C2×C42—21no—
387C2×C42—42no—
388C2×C42D4×C1111yescharacteristic
389C2×C42D4×C1111yescharacteristic
390C2×C42C23×C1111yescharacteristic
391C2×C42C23×C1111yescharacteristic
392#107—42no—
393#102—42no—
394#102—42no—
395#102—42no—
396#102C2×C4×C1118yescomplemented
397C22⋊C8—22no—
398C22⋊C8C2×C4×C1114yescomplemented
399C4×C8—42no—
400#95—21no—
401#95—21no—
402#95—21no—
403C2×C11—24no—
404C2×C11—82no—
405C2×C11—84no—
406C2×C11#232111yescharacteristic
407C2×C11C2×C4×D811yescharacteristic
408C2×C11C4×AGL(1,ℤ/8)11yescharacteristic
409C2×C11#318611yescharacteristic
410C2×C11#318811yescharacteristic
411C2×C11#320511yescharacteristic
412C2×C11#321111yescharacteristic
413C24—24no—
414C24—21no—
415C24—22no—
416C24—42no—
417C24—42no—
418C24—42no—
419C24—42no—
420C24—42no—
421C24—42no—
422C24C2×D4×C1111yescharacteristic
423C2×D4—24no—
424C2×D4—24no—
425C2×D4—21no—
426C2×D4—22no—
427C2×D4—22no—
428C2×D4—22no—
429C2×D4—22no—
430C2×D4—22no—
431C2×D4—22no—
432C2×D4—22no—
433C2×D4—48no—
434C2×D4—42no—
435C2×D4—42no—
436C2×D4—48no—
437C2×D4—42no—
438C2×D4—42no—
439C2×D4C22×C4×C1114yes—
440C2×D4C22×C4×C1112yes—
441C22×C4—22no—
442C22×C4—22no—
443C22×C4—22no—
444C22×C4—21no—
445C22×C4—22no—
446C22×C4—21no—
447C22×C4—21no—
448C22×C4—22no—
449C22×C4—41no—
450C22×C4—41no—
451C22×C4—41no—
452C22×C4—42no—
453C22×C4—42no—
454C22×C4—42no—
455C22×C4—42no—
456C22×C4—42no—
457C22×C4—42no—
458C22×C4C11×D814yescomplemented
459C22×C4C22×C4×C1112yes—
460C22×C4C2×D4×C1111yescharacteristic
461C22×C4C2×D4×C1111yescharacteristic
462C22×C4C2×D4×C1111yescharacteristic
463C22×C4C2×D4×C1111yescharacteristic
464C22×C4C2×D4×C1111yescharacteristic
465C22×C4C11×#4112yes—
466C22×C4C24×C1111yescharacteristic
467D8—48no—
468C2×C8—22no—
469C2×C8—22no—
470C2×C8—22no—
471C2×C8—22no—
472C2×C8—22no—
473C2×C8C22×C4×C1114yes—
474C4⋊C4—21no—
475C4⋊C4—22no—
476C4⋊C4—22no—
477C4⋊C4—22no—
478C4⋊C4—22no—
479C4⋊C4—42no—
480C4⋊C4—42no—
481C4⋊C4C22×C4×C1112yes—
482C22⋊C4—24no—
483C22⋊C4—44no—
484C22⋊C4—42no—
485C22⋊C4—42no—
486C22⋊C4—44no—
487C22⋊C4—44no—
488C22⋊C4—42no—
489C22⋊C4—44no—
490C22⋊C4—42no—
491C42—22no—
492C42—22no—
493C42—41no—
494C42—41no—
495C42—42no—
496C11#2204011yescharacteristic, direct product factor, Sylow
497C23—21no—
498C23—21no—
499C23—21no—
500C23—21no—
501C23—22no—
502C23—24no—
503C23—48no—
504C23—48no—
505C23—41no—
506C23—42no—
507C23—42no—
508C23—41no—
509C23—42no—
510C23—41no—
511C23—41no—
512C23—42no—
513C23—42no—
514C23—41no—
515C23—48no—
516C23—41no—
517C23—42no—
518C23—84no—
519C23—84no—
520C23—84no—
521C23—84no—
522C23C4×D4×C1112yes—
523C23C2×C11×D812yes—
524C23C11×#13512yes—
525C23C22×D4×C1111yescharacteristic
526D4—24no—
527D4—24no—
528D4—24no—
529D4—48no—
530D4—48no—
531D4—42no—
532D4—42no—
533D4—42no—
534C2×C4—21no—
535C2×C4—21no—
536C2×C4—21no—
537C2×C4—21no—
538C2×C4—21no—
539C2×C4—21no—
540C2×C4—21no—
541C2×C4—21no—
542C2×C4—24no—
543C2×C4—24no—
544C2×C4—22no—
545C2×C4—21no—
546C2×C4—21no—
547C2×C4—21no—
548C2×C4—44no—
549C2×C4—44no—
550C2×C4—41no—
551C2×C4—41no—
552C2×C4—41no—
553C2×C4—42no—
554C2×C4—41no—
555C2×C4—41no—
556C2×C4—42no—
557C2×C4—41no—
558C2×C4—42no—
559C2×C4—41no—
560C2×C4—41no—
561C2×C4—84no—
562C2×C4—84no—
563C2×C4C4×D4×C1112yes—
564C2×C4C2×C11×D812yes—
565C2×C4C2×C11×D812yes—
566C2×C4C11×AGL(1,ℤ/8)12yes—
567C2×C4C23×C4×C1111yescharacteristic
568C2×C4C2×C11×#4111yescharacteristic
569C2×C4C11×H(5,𝔽2)12yes—
570C2×C4C11×H(5,𝔽2)12yes—
571C8—24no—
572C8—42no—
573C22—22no—
574C22—22no—
575C22—22no—
576C22—22no—
577C22—22no—
578C22—22no—
579C22—42no—
580C22—44no—
581C22—44no—
582C22—42no—
583C22—44no—
584C22—42no—
585C22—816no—
586C22—81no—
587C22—82no—
588C22—82no—
589C22—81no—
590C22—82no—
591C22—81no—
592C22—82no—
593C22—81no—
594C22C4×C11×D814yes—
595C22C2×C4×D4×C1111yescharacteristic
596C22C11×#53411yescharacteristic
597C22C11×#53511yescharacteristic
598C22C22×C11×D811yescharacteristic
599C22C2×C11×#13511yescharacteristic
600C22C2×C11×AGL(1,ℤ/8)11yescharacteristic
601C22C11×#57511yescharacteristic
602C4—22no—
603C4—22no—
604C4—22no—
605C4—22no—
606C4—41no—
607C4—42no—
608C4—81no—
609C4—82no—
610C4—81no—
611C4C11×#51812yes—
612C4C11×#53812yes—
613C2—24no—
614C2—84no—
615C2—82no—
616C2C11×#232111yescharacteristic
617C2C2×C4×C11×D811yescharacteristic
618C2C4×C11×AGL(1,ℤ/8)11yescharacteristic
619C2C11×#318611yescharacteristic
620C2C11×#318811yescharacteristic
621C2C11×#320511yescharacteristic
622C2C11×#321111yescharacteristic
subgroupG/H
center, socleC23×C11C22×D4
commutatorC2×C4C23×C4×C11
Frattini, cosocleC22×C4C24×C11
prime radicalC2×C11×#447C2
LCSG ▷ C2×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23×C11 ◁ C22×C42×C11 ◁ G

Complements

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

NH ≅ G/Ntype
2. C4×C11×#121C2semidirect
3. C2×C11×#390C2semidirect
4. C11×#1970C2semidirect
5. C11×#1934C2semidirect
6. C11×#1925C2semidirect
7. C11×#1879C2semidirect
8. C11×#1874C2semidirect
9. C11×#1852C2semidirect
10. C11×#1786C2semidirect
11. C4×C11×C22⋊C8C2semidirect
16. C2×C4×D4×C11C22semidirect
21. C11×#447C4semidirect
22. C2×C11×#107C22semidirect
26. C2×C11×#102C22semidirect
29. C2×C4×C8×C11C22semidirect
34. C11×#390C22semidirect
35. C11×#389C22semidirect
39. C4×C11×C4⋊C4C22semidirect
41. C11×#340C22semidirect
42. C11×#340C22semidirect
43. C11×#336C22semidirect
50. C22×D4×C11C2×C4semidirect
60. C2×C11×D8C2×C4semidirect
95. C11×#102C2×C4semidirect
97. C11×C22⋊C8C2×C4semidirect
102. #22040C11direct (N × H)
148. C22×C4×C11D8semidirect
187. C4×#121C2×C11semidirect
188. C2×#390C2×C11semidirect
189. #1970C2×C11semidirect
190. #1934C2×C11semidirect
191. #1925C2×C11semidirect
192. #1879C2×C11semidirect
193. #1874C2×C11semidirect
194. #1852C2×C11semidirect
195. #1786C2×C11semidirect
196. C4×C22⋊C8C2×C11semidirect
277. C2×C4×D4C22×C11semidirect
282. #447C4×C11semidirect
283. C2×#107C22×C11semidirect
287. C2×#102C22×C11semidirect
290. C2×C4×C8C22×C11semidirect
295. #390C22×C11semidirect
296. #389C22×C11semidirect
300. C4×C4⋊C4C22×C11semidirect
302. #340C22×C11semidirect
303. #340C22×C11semidirect
304. #336C22×C11semidirect
351. C22×D4C2×C4×C11semidirect
361. C2×D8C2×C4×C11semidirect
396. #102C2×C4×C11semidirect
398. C22⋊C8C2×C4×C11semidirect
458. C22×C4C11×D8semidirect
496. C11#22040direct (N × H)

Maximal subgroups

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

subgroupindex
C2×C11×#4472
C4×C11×#1212
C2×C11×#3902
C11×#19702
C11×#19342
C11×#19252
C11×#18792
C11×#18742
C11×#18522
C11×#17862
C4×C11×C22⋊C82
#2204011