Finite Group Databasebeta

← C2×#13079415 #15624356

Subgroups — C2×#13079415 #15624356

Order 2816.

3010 conjugacy classes of subgroups.

The subgroup lattice has 742 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#66948C211yesmaximal, characteristic, complemented
2C2×D11×#121C211yesmaximal, characteristic, complemented
3#13079415C2116yesmaximal, direct product factor
4C2×#10622476C212yesmaximal, complemented
5C2×#10622581C211yesmaximal, characteristic, complemented
6C2×#10622478C212yesmaximal, complemented
7C2×#10622395C212yesmaximal, complemented
8C2×#10622345C211yesmaximal, characteristic, complemented
9C2×#10622386C212yesmaximal, complemented
10C2×#10622649C211yesmaximal, characteristic, complemented
11C2×#10622339C211yesmaximal, characteristic, complemented
12C2×C11×#481C211yesmaximal, characteristic, complemented
13C22×D4×D11—21no—
14C22×D4×D11C2211yescharacteristic, complemented
15C23×D44—21no—
16C23×D44C2211yescharacteristic, complemented
17C23×C4×D11C2211yescharacteristic
18C2×C11×#121C2211yescharacteristic
19C22×C11×C4⋊C4C2211yescharacteristic, complemented
20C2×#66992—21no—
21C2×#66991C2211yescharacteristic, complemented
22C22×#4323C2212yescomplemented
23C2×#66983C2211yescharacteristic
24C22×(C2×D11)⋊C4—21no—
25C22×D88C2212yescomplemented
26C22×#4313C2212yescomplemented
27D11×#121—24no—
28D11×#121C2218yescomplemented
29C2×#66948—24no—
30C2×#66948—21no—
31C2×#66948—21no—
32C2×#66948C2212yes—
33C2×#66948C2218yescomplemented
34C2×#66948C2212yescomplemented
35C2×#66948C2211yescharacteristic, complemented
36C2×C4⋊C4×D11C2211yescharacteristic, complemented
37C2×#66937—21no—
38C2×C22⋊C4×D11—21no—
39C11×#481C2218yescomplemented
40C2×C11×#106C2212yescomplemented
41C2×C11×#102C2212yescomplemented
42C2×C11×C22⋊C8C2211yescharacteristic, complemented
43C2×C22⋊(C11⋊C8)C2211yescharacteristic, complemented
44C2×#66885C2212yescomplemented
45C2×(C2×D11)⋊C8C2212yescomplemented
46#10622649C2218yescomplemented
47#10622581C2218yescomplemented
48C2×#66873C2212yescomplemented
49C2×#66873C2212yescomplemented
50C2×#66872C2212yescomplemented
51#10622478C22116yescomplemented
52#10622476C22116yescomplemented
53#10622395C22116yescomplemented
54#10622386C22116yescomplemented
55#10622345C2218yescomplemented
56#10622339C2218yescomplemented
57C24×D11—21no—
58C24×D11—21no—
59C24×D11D411yescharacteristic
60C22×D4×C11—21no—
61C22×D4×C11C2311yescharacteristic
62C23×C4×C11—21no—
63C23×C4×C11C2311yescharacteristic
64C22×C22⋊D11—21no—
65C22×C22⋊D11—21no—
66C22×C22⋊D11—21no—
67C23×Dic11D411yescharacteristic
68C2×D4×D11—28no—
69C2×D4×D11—22no—
70C2×D4×D11—44no—
71C2×D4×D11—48no—
72C2×D4×D11C2314yescomplemented
73C22×D44—21no—
74C22×D44—22no—
75C22×D44—28no—
76C22×D44—22no—
77C22×D44—22no—
78C22×D44—21no—
79C22×D44—44no—
80C22×D44—48no—
81C22×D44C2312yes—
82C22×D44C2311yescharacteristic
83C22×D44C2314yescomplemented
84C22×C4×D11—21no—
85C22×C4×D11—44no—
86C22×C4×D11D411yescharacteristic
87C22×C4×D11D411yescharacteristic
88C22×C4×D11D414yes—
89C22×C4×D11C2311yescharacteristic
90C22×C4×D11C2311yescharacteristic
91C22×C4×D11C2314yes—
92C22×C8×C11C2312yes—
93C11×#121—22no—
94C11×#121C2314yes—
95C2×C11×C4⋊C4—22no—
96C2×C11×C4⋊C4—21no—
97C2×C11×C4⋊C4C2311yescharacteristic
98C2×C11×C4⋊C4C2312yes—
99C2×C11×C4⋊C4C2314yescomplemented
100C2×C11×C22⋊C4—21no—
101C2×C22⋊Dic11—21no—
102#66992—28no—
103#66991—22no—
104#66991C2314yescomplemented
105C2×#4323—44no—
106C2×#4323C2318yescomplemented
107#66983—22no—
108#66983C2314yes—
109C2×(C2×D11)⋊C4—21no—
110C2×(C2×D11)⋊C4—21no—
111C2×(C2×D11)⋊C4—22no—
112C2×(C2×D11)⋊C4—28no—
113C2×(C2×D11)⋊C4—22no—
114C2×C4⋊Dic11C2311yescharacteristic
115C2×Dic11⋊C4—21no—
116C22×C11⋊C8C2312yes—
117C2×D88—44no—
118C2×D88C2318yescomplemented
119C2×#4313—44no—
120C2×#4313C2318yescomplemented
121#66948—24no—
122#66948—28no—
123#66948—24no—
124#66948—28no—
125#66948—22no—
126#66948C2318yes—
127#66948C2314yescomplemented
128#66948C2318yescomplemented
129C4⋊C4×D11—22no—
130C4⋊C4×D11C2314yescomplemented
131#66937—28no—
132C22⋊C4×D11—28no—
133C11×#106C2318yescomplemented
134C11×#102C2318yescomplemented
135C11×C22⋊C8C2314yescomplemented
136C22⋊(C11⋊C8)C2314yescomplemented
137#66885C2318yescomplemented
138(C2×D11)⋊C8C2318yescomplemented
139#66873C2318yescomplemented
140#66873C2318yescomplemented
141#66872C2318yescomplemented
142C2×#3192—111nomaximal, Sylow
143C24×C11—21no—
144C24×C11C2×D411yescharacteristic
145C23×D11—24no—
146C23×D11—24no—
147C23×D11—22no—
148C23×D11—24no—
149C23×D11—21no—
150C23×D11—24no—
151C23×D11—42no—
152C23×D11—44no—
153C23×D11—44no—
154C23×D11—44no—
155C23×D11—44no—
156C23×D11—44no—
157C23×D11—44no—
158C23×D11C2×D411yescharacteristic
159C23×D11C2×D414yes—
160C23×D11C2×D411yescharacteristic
161C2×D4×C11—24no—
162C2×D4×C11—21no—
163C2×D4×C11—24no—
164C2×D4×C11—44no—
165C2×D4×C11C2412yes—
166C22×C4×C11—24no—
167C22×C4×C11—21no—
168C22×C4×C11—22no—
169C22×C4×C11—24no—
170C22×C4×C11—44no—
171C22×C4×C11C2×D411yescharacteristic
172C22×C4×C11C2×D412yes—
173C22×C4×C11C2412yes—
174C22×C4×C11C2411yescharacteristic
175C2×C22⋊D11—24no—
176C2×C22⋊D11—24no—
177C2×C22⋊D11—24no—
178C2×C22⋊D11—44no—
179C2×C22⋊D11—44no—
180C2×C22⋊D11—44no—
181C22×Dic11—21no—
182C22×Dic11—42no—
183C22×Dic11C2×D411yescharacteristic
184C22×Dic11C2×D411yescharacteristic
185C22×Dic11C2×D414yes—
186D4×D11—48no—
187D4×D11—432no—
188D4×D11—48no—
189C2×D44—24no—
190C2×D44—28no—
191C2×D44—28no—
192C2×D44—22no—
193C2×D44—24no—
194C2×D44—21no—
195C2×D44—24no—
196C2×D44—24no—
197C2×D44—24no—
198C2×D44—48no—
199C2×D44—44no—
200C2×D44—48no—
201C2×D44—432no—
202C2×D44—48no—
203C2×D44—44no—
204C2×D44—48no—
205C2×D44C2412yes—
206C2×D44C2414yes—
207C2×C4×D11—24no—
208C2×C4×D11—24no—
209C2×C4×D11—24no—
210C2×C4×D11—42no—
211C2×C4×D11—42no—
212C2×C4×D11—48no—
213C2×C4×D11—48no—
214C2×C4×D11—44no—
215C2×C4×D11C2×D412yes—
216C2×C4×D11C2×D412yes—
217C2×C4×D11C2×D414yes—
218C2×C4×D11C2×D414yes—
219C2×C4×D11C2412yes—
220C2×C4×D11C2412yes—
221C2×C8×C11—24no—
222C2×C8×C11C2414yes—
223C11×C4⋊C4—21no—
224C11×C4⋊C4—22no—
225C11×C4⋊C4—24no—
226C11×C4⋊C4C2414yes—
227C11×C4⋊C4C2412yes—
228C11×C22⋊C4—24no—
229C22⋊Dic11—24no—
230#4323—48no—
231(C2×D11)⋊C4—24no—
232(C2×D11)⋊C4—28no—
233(C2×D11)⋊C4—28no—
234(C2×D11)⋊C4—24no—
235C4⋊Dic11—21no—
236C4⋊Dic11C2412yes—
237Dic11⋊C4—24no—
238C2×C11⋊C8—24no—
239C2×C11⋊C8C2414yes—
240D88—48no—
241#4313—48no—
242C22×#121—111no—
243C22×#121—111no—
244#3192—1116no—
245C2×#481—112no—
246C2×#481—111no—
247C2×#481D1111yescharacteristic, complemented
248C2×#469—112no—
249C2×#469—112no—
250C2×#447—112no—
251C2×#447—111no—
252C2×#447—111no—
253C2×#407—111no—
254C23×C11—22no—
255C23×C11—22no—
256C23×C11—22no—
257C23×C11—42no—
258C23×C11—42no—
259C23×C11—42no—
260C23×C11AGL(1,ℤ/8)14yes—
261C23×C11C22×D412yes—
262C23×C11C22×D411yescharacteristic
263C22×D11—22no—
264C22×D11—22no—
265C22×D11—22no—
266C22×D11—22no—
267C22×D11—22no—
268C22×D11—28no—
269C22×D11—28no—
270C22×D11—24no—
271C22×D11—22no—
272C22×D11—44no—
273C22×D11—416no—
274C22×D11—48no—
275C22×D11—48no—
276C22×D11—48no—
277C22×D11—48no—
278C22×D11—44no—
279C22×D11—42no—
280C22×D11—44no—
281C22×D11—42no—
282C22×D11—48no—
283C22×D11—44no—
284C22×D11—42no—
285C22×D11—48no—
286C22×D11—816no—
287C22×D11—816no—
288C22×D11AGL(1,ℤ/8)14yes—
289C22×D11C22×D412yes—
290C22×D11C22×D412yes—
291D4×C11—24no—
292D4×C11—48no—
293D4×C11—42no—
294C2×C4×C11—22no—
295C2×C4×C11—24no—
296C2×C4×C11—24no—
297C2×C4×C11—22no—
298C2×C4×C11—24no—
299C2×C4×C11—48no—
300C2×C4×C11—42no—
301C2×C4×C11—44no—
302C2×C4×C11C22×D412yes—
303C2×C4×C11C22×D411yescharacteristic
304C2×C4×C11H(5,𝔽2)14yes—
305C2×C4×C11C2511yescharacteristic
306C22⋊D11—48no—
307C22⋊D11—48no—
308C22⋊D11—48no—
309C2×Dic11—22no—
310C2×Dic11—22no—
311C2×Dic11—22no—
312C2×Dic11—44no—
313C2×Dic11—42no—
314C2×Dic11C22×D412yes—
315C2×Dic11C22×D412yes—
316D44—24no—
317D44—24no—
318D44—24no—
319D44—48no—
320D44—416no—
321D44—48no—
322D44—416no—
323D44—44no—
324D44—42no—
325C4×D11—24no—
326C4×D11—24no—
327C4×D11—24no—
328C4×D11—24no—
329C4×D11—44no—
330C4×D11—44no—
331C4×D11—48no—
332C8×C11—24no—
333C11⋊C8—24no—
334C23×D4—111no—
335C23×D4—111no—
336C23×D4—221no—
337C23×D4—221no—
338C24×C4—111no—
339C22×D8—112no—
340C22×D8—112no—
341C22×M16—112no—
342C2×#121—111no—
343C2×#121—111no—
344C2×#121—118no—
345C2×#121—112no—
346C2×#121—111no—
347C2×#121—112no—
348C2×#121—118no—
349C2×#121—221no—
350C2×#121—221no—
351C2×#121—224no—
352C2×#121—221no—
353C2×#121—224no—
354C2×#121—221no—
355C2×#121C2×D1111yescharacteristic
356C22×C4⋊C4—111no—
357C22×C4⋊C4C2×D1111yescharacteristic, complemented
358C22×C22⋊C4—221no—
359C22×C22⋊C4—221no—
360#481—118no—
361#481—1116no—
362#481C2×D1118yescomplemented
363#469—1116no—
364#469—1116no—
365#447—118no—
366#447—1116no—
367#447—118no—
368C2×#106—112no—
369C2×#106C2×D1112yescomplemented
370C2×#102—112no—
371C2×#102—112no—
372C2×#102—112no—
373C2×#102C2×D1112yescomplemented
374#407—118no—
375C2×C22⋊C8—111no—
376C2×C22⋊C8—112no—
377C2×C22⋊C8C2×D1111yescharacteristic, complemented
378C22×C11—22no—
379C22×C11—28no—
380C22×C11—22no—
381C22×C11—42no—
382C22×C11—42no—
383C22×C11—42no—
384C22×C11—84no—
385C22×C11#53412yes—
386C22×C11C2×AGL(1,ℤ/8)14yes—
387C22×C11C2×AGL(1,ℤ/8)12yes—
388C22×C11C2×AGL(1,ℤ/8)12yes—
389C22×C11C23×D411yescharacteristic
390C2×D11—22no—
391C2×D11—28no—
392C2×D11—22no—
393C2×D11—22no—
394C2×D11—22no—
395C2×D11—22no—
396C2×D11—416no—
397C2×D11—44no—
398C2×D11—44no—
399C2×D11—42no—
400C2×D11—42no—
401C2×D11—44no—
402C2×D11—44no—
403C2×D11—42no—
404C2×D11—816no—
405C2×D11—816no—
406C2×D11—88no—
407C2×D11—84no—
408C2×D11C2×AGL(1,ℤ/8)14yes—
409C4×C11—22no—
410C4×C11—44no—
411C4×C11—42no—
412C4×C11#53412yes—
413C4×C11C2×H(5,𝔽2)12yes—
414Dic11—22no—
415Dic11—22no—
416Dic11—42no—
417C25—111no—
418C25—221no—
419C25—221no—
420C22×D4—21no—
421C22×D4—114no—
422C22×D4—111no—
423C22×D4—112no—
424C22×D4—114no—
425C22×D4—228no—
426C22×D4—221no—
427C22×D4—222no—
428C22×D4—222no—
429C22×D4—222no—
430C22×D4—221no—
431C22×D4—228no—
432C22×D4—221no—
433C22×D4—221no—
434C22×D4—222no—
435C22×D4—221no—
436C22×D4—444no—
437C22×D4—448no—
438C22×D4—444no—
439C22×D4—448no—
440C22×D4C22×D1111yescharacteristic
441C23×C4—21no—
442C23×C4—111no—
443C23×C4—111no—
444C23×C4—111no—
445C23×C4—111no—
446C23×C4—111no—
447C23×C4—114no—
448C23×C4—114no—
449C23×C4—221no—
450C23×C4—444no—
451C23×C4C22×D1111yescharacteristic
452C2×D8—118no—
453C2×D8—118no—
454C2×D8—444no—
455C2×D8—444no—
456C2×M16—118no—
457C2×M16—444no—
458C22×C8—112no—
459C22×C8C22×D1112yes—
460#121—22no—
461#121—114no—
462#121—114no—
463#121—118no—
464#121—114no—
465#121—118no—
466#121—228no—
467#121—224no—
468#121—224no—
469#121—228no—
470#121—228no—
471#121—222no—
472#121—222no—
473#121—228no—
474#121—222no—
475#121C22×D1114yes—
476C2×C4⋊C4—22no—
477C2×C4⋊C4—21no—
478C2×C4⋊C4—111no—
479C2×C4⋊C4—114no—
480C2×C4⋊C4—222no—
481C2×C4⋊C4—221no—
482C2×C4⋊C4C22×D1111yescharacteristic
483C2×C4⋊C4C22×D1112yes—
484C2×C4⋊C4C22×D1114yescomplemented
485C2×C22⋊C4—21no—
486C2×C22⋊C4—228no—
487C2×C22⋊C4—228no—
488C2×C22⋊C4—221no—
489C2×C22⋊C4—222no—
490C2×C22⋊C4—222no—
491C2×C22⋊C4—221no—
492C2×C22⋊C4—221no—
493#106—118no—
494#106C22×D1118yescomplemented
495#102—118no—
496#102—118no—
497#102—118no—
498#102C22×D1118yescomplemented
499C22⋊C8—114no—
500C22⋊C8—118no—
501C22⋊C8C22×D1114yescomplemented
502C2×C11—24no—
503C2×C11—82no—
504C2×C11#319214yescomplemented
505C2×C11C2×#53411yescharacteristic
506C2×C11C22×AGL(1,ℤ/8)11yescharacteristic
507C2×C11C22×AGL(1,ℤ/8)11yescharacteristic
508D11—24no—
509D11—42no—
510D11—84no—
511D11—82no—
512C24—21no—
513C24—111no—
514C24—111no—
515C24—114no—
516C24—224no—
517C24—224no—
518C24—224no—
519C24—224no—
520C24—221no—
521C24—222no—
522C24—442no—
523C24—444no—
524C24—444no—
525C24—444no—
526C24—444no—
527C24—444no—
528C24—444no—
529C24D4×D1111yescharacteristic
530C2×D4—24no—
531C2×D4—21no—
532C2×D4—24no—
533C2×D4—44no—
534C2×D4—114no—
535C2×D4—112no—
536C2×D4—224no—
537C2×D4—228no—
538C2×D4—228no—
539C2×D4—224no—
540C2×D4—224no—
541C2×D4—224no—
542C2×D4—224no—
543C2×D4—222no—
544C2×D4—221no—
545C2×D4—224no—
546C2×D4—224no—
547C2×D4—224no—
548C2×D4—448no—
549C2×D4—444no—
550C2×D4—448no—
551C2×D4—448no—
552C2×D4—4432no—
553C2×D4—444no—
554C2×D4—448no—
555C2×D4—448no—
556C2×D4—448no—
557C2×D4—444no—
558C2×D4—4432no—
559C2×D4—444no—
560C2×D4—444no—
561C2×D4C23×D1112yes—
562C22×C4—24no—
563C22×C4—24no—
564C22×C4—21no—
565C22×C4—22no—
566C22×C4—44no—
567C22×C4—111no—
568C22×C4—111no—
569C22×C4—114no—
570C22×C4—112no—
571C22×C4—112no—
572C22×C4—112no—
573C22×C4—112no—
574C22×C4—114no—
575C22×C4—114no—
576C22×C4—224no—
577C22×C4—224no—
578C22×C4—224no—
579C22×C4—221no—
580C22×C4—448no—
581C22×C4—448no—
582C22×C4—442no—
583C22×C4—442no—
584C22×C4—444no—
585C22×C4—442no—
586C22×C4D4×D1112yes—
587C22×C4D4×D1111yescharacteristic
588C22×C4C23×D1112yes—
589C22×C4C23×D1111yescharacteristic
590D8—448no—
591D8—448no—
592M16—448no—
593C2×C8—24no—
594C2×C8—114no—
595C2×C8—224no—
596C2×C8C23×D1114yes—
597C4⋊C4—22no—
598C4⋊C4—24no—
599C4⋊C4—21no—
600C4⋊C4—112no—
601C4⋊C4—224no—
602C4⋊C4—221no—
603C4⋊C4C23×D1112yes—
604C4⋊C4C23×D1114yes—
605C22⋊C4—24no—
606C22⋊C4—224no—
607C22⋊C4—228no—
608C22⋊C4—228no—
609C22⋊C4—224no—
610C22⋊C4—224no—
611C11C2×#319211yescharacteristic, complemented, Sylow
612C23—22no—
613C23—22no—
614C23—22no—
615C23—42no—
616C23—42no—
617C23—42no—
618C23—114no—
619C23—112no—
620C23—112no—
621C23—228no—
622C23—222no—
623C23—222no—
624C23—228no—
625C23—222no—
626C23—222no—
627C23—222no—
628C23—224no—
629C23—222no—
630C23—444no—
631C23—4416no—
632C23—448no—
633C23—448no—
634C23—448no—
635C23—448no—
636C23—448no—
637C23—442no—
638C23—448no—
639C23—444no—
640C23—444no—
641C23—442no—
642C23—444no—
643C23—442no—
644C23—8816no—
645C23—8816no—
646C23#6696714yes—
647C23C2×D4×D1112yes—
648C23C2×D4×D1111yescharacteristic
649D4—24no—
650D4—48no—
651D4—42no—
652D4—224no—
653D4—224no—
654D4—224no—
655D4—448no—
656D4—4416no—
657D4—4416no—
658D4—448no—
659D4—448no—
660D4—448no—
661D4—448no—
662D4—444no—
663D4—442no—
664C2×C4—22no—
665C2×C4—24no—
666C2×C4—24no—
667C2×C4—22no—
668C2×C4—24no—
669C2×C4—48no—
670C2×C4—42no—
671C2×C4—44no—
672C2×C4—112no—
673C2×C4—112no—
674C2×C4—222no—
675C2×C4—222no—
676C2×C4—224no—
677C2×C4—224no—
678C2×C4—224no—
679C2×C4—224no—
680C2×C4—222no—
681C2×C4—444no—
682C2×C4—444no—
683C2×C4—448no—
684C2×C4—444no—
685C2×C4—442no—
686C2×C4C2×D4×D1112yes—
687C2×C4C2×D4×D1111yescharacteristic
688C2×C4#6704214yes—
689C2×C4C24×D1111yescharacteristic
690C8—24no—
691C8—224no—
692C22—22no—
693C22—28no—
694C22—22no—
695C22—42no—
696C22—42no—
697C22—42no—
698C22—84no—
699C22—114no—
700C22—222no—
701C22—228no—
702C22—222no—
703C22—222no—
704C22—222no—
705C22—222no—
706C22—4416no—
707C22—444no—
708C22—444no—
709C22—442no—
710C22—444no—
711C22—442no—
712C22—442no—
713C22—444no—
714C22—8816no—
715C22—8816no—
716C22—884no—
717C22—888no—
718C22#1062318412yes—
719C22C2×#6696714yes—
720C22C2×#6696712yes—
721C22D11×AGL(1,ℤ/8)12yes—
722C22C22×D4×D1111yescharacteristic
723C4—22no—
724C4—44no—
725C4—42no—
726C4—222no—
727C4—222no—
728C4—442no—
729C4#1062318412yes—
730C4C2×#6704212yes—
731C2—24no—
732C2—82no—
733C2—224no—
734C2—442no—
735C2—884no—
736C2—882no—
737C2#1307941514yesdirect product factor
738C2C2×#1062318411yescharacteristic
739C2C2×D11×AGL(1,ℤ/8)11yescharacteristic
740C2C22×#6696711yescharacteristic
subgroupG/H
centerC23C2×D4×D11
commutator, cosocleC2×C4×C11C25
FrattiniC2×C4C24×D11
FittingC2×C11×#481C2
socleC23×C11C22×D4
hypercenterC2×#481D11
hypocenterC11C2×#3192
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C23 ◁ C23×C4 ◁ C2×#481

Complements

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

NH ≅ G/Ntype
1. C22×#66948C2semidirect
2. C2×D11×#121C2semidirect
3. #13079415C2direct (N × H)
4. C2×#10622476C2semidirect
5. C2×#10622581C2semidirect
6. C2×#10622478C2semidirect
7. C2×#10622395C2semidirect
8. C2×#10622345C2semidirect
9. C2×#10622386C2semidirect
10. C2×#10622649C2semidirect
11. C2×#10622339C2semidirect
12. C2×C11×#481C2semidirect
14. C22×D4×D11C22semidirect
16. C23×D44C22semidirect
19. C22×C11×C4⋊C4C22semidirect
21. C2×#66991C22semidirect
22. C22×#4323C22semidirect
25. C22×D88C22semidirect
26. C22×#4313C22semidirect
28. D11×#121C22semidirect
33. C2×#66948C22semidirect
34. C2×#66948C22semidirect
35. C2×#66948C22semidirect
36. C2×C4⋊C4×D11C22semidirect
39. C11×#481C22semidirect
40. C2×C11×#106C22semidirect
41. C2×C11×#102C22semidirect
42. C2×C11×C22⋊C8C22semidirect
43. C2×C22⋊(C11⋊C8)C22semidirect
44. C2×#66885C22semidirect
45. C2×(C2×D11)⋊C8C22semidirect
46. #10622649C22semidirect
47. #10622581C22semidirect
48. C2×#66873C22semidirect
49. C2×#66873C22semidirect
50. C2×#66872C22semidirect
51. #10622478C22semidirect
52. #10622476C22semidirect
53. #10622395C22semidirect
54. #10622386C22semidirect
55. #10622345C22semidirect
56. #10622339C22semidirect
72. C2×D4×D11C23semidirect
83. C22×D44C23semidirect
99. C2×C11×C4⋊C4C23semidirect
104. #66991C23semidirect
106. C2×#4323C23semidirect
118. C2×D88C23semidirect
120. C2×#4313C23semidirect
127. #66948C23semidirect
128. #66948C23semidirect
130. C4⋊C4×D11C23semidirect
133. C11×#106C23semidirect
134. C11×#102C23semidirect
135. C11×C22⋊C8C23semidirect
136. C22⋊(C11⋊C8)C23semidirect
137. #66885C23semidirect
138. (C2×D11)⋊C8C23semidirect
139. #66873C23semidirect
140. #66873C23semidirect
141. #66872C23semidirect
247. C2×#481D11semidirect
357. C22×C4⋊C4C2×D11semidirect
362. #481C2×D11semidirect
369. C2×#106C2×D11semidirect
373. C2×#102C2×D11semidirect
377. C2×C22⋊C8C2×D11semidirect
484. C2×C4⋊C4C22×D11semidirect
494. #106C22×D11semidirect
498. #102C22×D11semidirect
501. C22⋊C8C22×D11semidirect
504. C2×C11#3192semidirect
611. C11C2×#3192semidirect
737. C2#13079415direct (N × H)

Maximal subgroups

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

subgroupindex
C22×#669482
C2×D11×#1212
#130794152
C2×#106224762
C2×#106225812
C2×#106224782
C2×#106223952
C2×#106223452
C2×#106223862
C2×#106226492
C2×#106223392
C2×C11×#4812
C2×#319211