Finite Group Databasebeta

← C2×#13079426 #15624369

Subgroups — C2×#13079426 #15624369

Order 2816.

2686 conjugacy classes of subgroups.

The subgroup lattice has 702 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#66983C211yesmaximal, characteristic, complemented
2#13079426C2116yesmaximal, direct product factor
3C2×#10622616C212yesmaximal, complemented
4C2×#10622656C211yesmaximal, characteristic, complemented
5C2×#10622646C211yesmaximal, characteristic, complemented
6C2×#10622652C212yesmaximal, complemented
7C2×#10622662C212yesmaximal, complemented
8C2×#10622851C212yesmaximal, complemented
9C2×#10622659C211yesmaximal, characteristic, complemented
10C2×#10622649C211yesmaximal, characteristic, complemented
11C2×#10622820C211yesmaximal, characteristic, complemented
12C2×C11×#525C211yesmaximal, characteristic, complemented
13C22×C11×#41C2211yescharacteristic, complemented
14C24×C4×C11C2211yescharacteristic
15C23×C22⋊D11—21no—
16C23×D44C2211yescharacteristic
17C11×#525—24no—
18C11×#525C2218yescomplemented
19C2×C11×#123—21no—
20C2×C11×C22⋊Q8C2211yescharacteristic
21C2×C11×C22⋊Q8C2211yescharacteristic, complemented
22C2×C11×#121C2211yescharacteristic
23C2×C11×#121C2211yescharacteristic, complemented
24C2×C11×#120—21no—
25C2×C4×D4×C11—21no—
26C2×C4×D4×C11—21no—
27C2×C11×#117C2211yescharacteristic, complemented
28C22×#4325C2212yescomplemented
29C22×#4323C2212yescomplemented
30C2×#66983—21no—
31C2×#66983—21no—
32C2×#66983—24no—
33C2×#66983C2212yes—
34C2×#66983C2212yes—
35C2×#66983C2218yescomplemented
36C22×(C2×D11)⋊C4—21no—
37C22×C4⋊Dic11C2211yescharacteristic
38C22×#4318C2212yescomplemented
39#10622851C22116yescomplemented
40C2×#66899C2212yescomplemented
41C2×#66896C2212yescomplemented
42#10622820C2218yescomplemented
43C2×C22⋊(C11⋊C8)C2211yescharacteristic
44C2×C22⋊(C11⋊C8)C2211yescharacteristic
45C2×C22⋊(C11⋊C8)C2212yescomplemented
46#10622662C22116yescomplemented
47#10622659C2218yescomplemented
48#10622656C2218yescomplemented
49#10622652C22116yescomplemented
50#10622649C2218yescomplemented
51#10622646C2218yescomplemented
52#10622616C22116yescomplemented
53C2×#66873C2212yescomplemented
54C2×#66873C2212yescomplemented
55C2×#66872C2212yescomplemented
56C2×#66871C2212yescomplemented
57C25×C11D411yescharacteristic
58C24×D11—21no—
59C2×C11×#41—22no—
60C2×C11×#41—44no—
61C2×C11×#41C2314yescomplemented
62C22×Q8×C11C2311yescharacteristic
63C22×D4×C11—21no—
64C22×D4×C11—21no—
65C22×D4×C11—21no—
66C22×D4×C11C2311yescharacteristic
67C23×C4×C11—21no—
68C23×C4×C11—44no—
69C23×C4×C11D411yescharacteristic
70C23×C4×C11D411yescharacteristic
71C23×C4×C11D411yescharacteristic
72C23×C4×C11D414yes—
73C23×C4×C11C2311yescharacteristic
74C23×C4×C11C2311yescharacteristic
75C23×C4×C11C2311yescharacteristic
76C23×C4×C11C2314yes—
77C22×C22⋊D11—22no—
78C22×C22⋊D11—22no—
79C22×C22⋊D11—28no—
80C22×C22⋊D11—48no—
81C23×Dic11—21no—
82C22×D44—21no—
83C22×D44—22no—
84C22×D44—44no—
85C22×D44C2312yes—
86C22×D44C2314yes—
87C11×#123—28no—
88C11×C22⋊Q8—22no—
89C11×C22⋊Q8—22no—
90C11×C22⋊Q8C2314yes—
91C11×C22⋊Q8C2314yescomplemented
92C11×#121—22no—
93C11×#121—22no—
94C11×#121C2314yes—
95C11×#121C2314yescomplemented
96C11×#120—28no—
97C4×D4×C11—28no—
98C4×D4×C11—28no—
99C11×#117—22no—
100C11×#117C2314yescomplemented
101C2×C11×C4⋊C4—21no—
102C2×C11×C4⋊C4—21no—
103C2×C11×C4⋊C4C2311yescharacteristic
104C2×C11×C4⋊C4C2311yescharacteristic
105C2×C11×C22⋊C4—21no—
106C2×C11×C22⋊C4—21no—
107C2×C11×C22⋊C4—21no—
108C2×C11×C22⋊C4—21no—
109C2×C11×C22⋊C4—21no—
110C2×C42×C11—21no—
111C2×#4325—44no—
112C2×#4325C2318yescomplemented
113C2×#4323—44no—
114C2×#4323C2318yescomplemented
115#66983—24no—
116#66983—24no—
117#66983—28no—
118#66983—28no—
119#66983C2318yes—
120#66983C2318yes—
121C2×(C2×D11)⋊C4—22no—
122C2×(C2×D11)⋊C4—22no—
123C2×(C2×D11)⋊C4—28no—
124C2×C4⋊Dic11—21no—
125C2×C4⋊Dic11—22no—
126C2×C4⋊Dic11C2312yes—
127C2×C4⋊Dic11C2314yes—
128C2×#4318—44no—
129C2×#4318C2318yescomplemented
130C22×C11⋊C8C2312yes—
131C22×C11⋊C8C2312yes—
132#66899C2318yescomplemented
133#66896C2318yescomplemented
134C22⋊(C11⋊C8)C2314yes—
135C22⋊(C11⋊C8)C2314yes—
136C22⋊(C11⋊C8)C2318yescomplemented
137#66873C2318yescomplemented
138#66873C2318yescomplemented
139#66872C2318yescomplemented
140#66871C2318yescomplemented
141C2×#3194—111nomaximal, Sylow
142C24×C11—24no—
143C24×C11—21no—
144C24×C11—42no—
145C24×C11—42no—
146C24×C11C2×D411yescharacteristic
147C24×C11C2×D411yescharacteristic
148C24×C11C2×D411yescharacteristic
149C24×C11C2×D414yes—
150C23×D11—24no—
151C23×D11—22no—
152C23×D11—44no—
153C23×D11—44no—
154C23×D11—44no—
155C11×#41—48no—
156C11×#41—48no—
157C2×Q8×C11—21no—
158C2×Q8×C11—24no—
159C2×Q8×C11C2412yes—
160C2×D4×C11—24no—
161C2×D4×C11—24no—
162C2×D4×C11—24no—
163C2×D4×C11—21no—
164C2×D4×C11—24no—
165C2×D4×C11—44no—
166C2×D4×C11—44no—
167C2×D4×C11—44no—
168C2×D4×C11C2412yes—
169C22×C4×C11—24no—
170C22×C4×C11—24no—
171C22×C4×C11—24no—
172C22×C4×C11—21no—
173C22×C4×C11—21no—
174C22×C4×C11—21no—
175C22×C4×C11—24no—
176C22×C4×C11—48no—
177C22×C4×C11—48no—
178C22×C4×C11—42no—
179C22×C4×C11—42no—
180C22×C4×C11—42no—
181C22×C4×C11—44no—
182C22×C4×C11C2×D411yescharacteristic
183C22×C4×C11C2×D412yes—
184C22×C4×C11C2×D411yescharacteristic
185C22×C4×C11C2×D411yescharacteristic
186C22×C4×C11C2×D412yes—
187C22×C4×C11C2×D412yes—
188C22×C4×C11C2×D414yes—
189C22×C4×C11C2×D414yes—
190C22×C4×C11C2×D414yes—
191C22×C4×C11C2412yes—
192C22×C4×C11C2412yes—
193C22×C4×C11C2412yes—
194C22×C4×C11C2411yescharacteristic
195C2×C22⋊D11—28no—
196C2×C22⋊D11—28no—
197C2×C22⋊D11—48no—
198C2×C22⋊D11—48no—
199C2×C22⋊D11—432no—
200C22×Dic11—24no—
201C22×Dic11—22no—
202C22×Dic11—44no—
203C2×D44—24no—
204C2×D44—22no—
205C2×D44—24no—
206C2×D44—24no—
207C2×D44—48no—
208C2×D44—44no—
209C2×D44—48no—
210C2×D44C2414yes—
211C11×C4⋊C4—24no—
212C11×C4⋊C4—24no—
213C11×C4⋊C4—21no—
214C11×C4⋊C4—21no—
215C11×C4⋊C4C2412yes—
216C11×C4⋊C4C2412yes—
217C11×C22⋊C4—24no—
218C11×C22⋊C4—24no—
219C11×C22⋊C4—24no—
220C11×C22⋊C4—24no—
221C11×C22⋊C4—24no—
222C42×C11—24no—
223#4325—48no—
224#4323—48no—
225(C2×D11)⋊C4—28no—
226(C2×D11)⋊C4—28no—
227C4⋊Dic11—24no—
228C4⋊Dic11—22no—
229C4⋊Dic11C2414yes—
230#4318—48no—
231C2×C11⋊C8—24no—
232C2×C11⋊C8—24no—
233C2×C11⋊C8C2414yes—
234C2×C11⋊C8C2414yes—
235C2×#525D1111yescharacteristic, complemented
236C22×#121—111no—
237#3194—1116no—
238C2×#482—112no—
239C2×#483—111no—
240C2×#480—111no—
241C2×#469—112no—
242C2×#468—112no—
243C2×#449—112no—
244C2×#450—111no—
245C2×#447—111no—
246C2×#407—111no—
247C23×C11—22no—
248C23×C11—22no—
249C23×C11—22no—
250C23×C11—22no—
251C23×C11—28no—
252C23×C11—22no—
253C23×C11—22no—
254C23×C11—22no—
255C23×C11—22no—
256C23×C11—22no—
257C23×C11—44no—
258C23×C11—44no—
259C23×C11—416no—
260C23×C11—42no—
261C23×C11—42no—
262C23×C11—42no—
263C23×C11AGL(1,ℤ/8)14yes—
264C23×C11C22×D412yes—
265C23×C11C22×D412yes—
266C23×C11C22×D412yes—
267C23×C11C22×D411yescharacteristic
268C22×D11—24no—
269C22×D11—48no—
270C22×D11—48no—
271C22×D11—44no—
272C22×D11—48no—
273C22×D11—44no—
274C22×D11—44no—
275C22×D11—816no—
276Q8×C11—24no—
277Q8×C11—42no—
278D4×C11—24no—
279D4×C11—48no—
280D4×C11—48no—
281D4×C11—48no—
282D4×C11—42no—
283C2×C4×C11—22no—
284C2×C4×C11—22no—
285C2×C4×C11—22no—
286C2×C4×C11—24no—
287C2×C4×C11—24no—
288C2×C4×C11—24no—
289C2×C4×C11—24no—
290C2×C4×C11—24no—
291C2×C4×C11—24no—
292C2×C4×C11—22no—
293C2×C4×C11—22no—
294C2×C4×C11—22no—
295C2×C4×C11—44no—
296C2×C4×C11—44no—
297C2×C4×C11—44no—
298C2×C4×C11—48no—
299C2×C4×C11—42no—
300C2×C4×C11—42no—
301C2×C4×C11—42no—
302C2×C4×C11C22×D412yes—
303C2×C4×C11C22×D412yes—
304C2×C4×C11C22×D412yes—
305C2×C4×C11C22×D411yescharacteristic
306C2×C4×C11H(5,𝔽2)14yes—
307C2×C4×C11C2511yescharacteristic
308C22⋊D11—416no—
309C22⋊D11—416no—
310C2×Dic11—24no—
311C2×Dic11—48no—
312C2×Dic11—44no—
313D44—24no—
314D44—24no—
315D44—48no—
316D44—44no—
317C11⋊C8—24no—
318C11⋊C8—24no—
319C22×#41C2×D1111yescharacteristic, complemented
320C23×D4—111no—
321C23×D4—221no—
322C24×C4C2×D1111yescharacteristic
323C22×SD16—112no—
324C22×D8—112no—
325C22×M16—112no—
326#525—24no—
327#525C2×D1118yescomplemented
328C2×#123—21no—
329C2×C22⋊Q8C2×D1111yescharacteristic
330C2×C22⋊Q8C2×D1111yescharacteristic, complemented
331C2×#121—112no—
332C2×#121—112no—
333C2×#121—118no—
334C2×#121—221no—
335C2×#121—221no—
336C2×#121—224no—
337C2×#121C2×D1111yescharacteristic
338C2×#121C2×D1111yescharacteristic, complemented
339C2×#120—21no—
340C2×C4×D4—21no—
341C2×C4×D4—21no—
342C2×#117C2×D1111yescharacteristic, complemented
343C22×C4⋊C4—111no—
344C22×C22⋊C4—221no—
345#483—118no—
346#482—1116no—
347#480—118no—
348#469—1116no—
349#468—1116no—
350#450—118no—
351#449—1116no—
352#447—118no—
353C2×#107—112no—
354C2×#106—112no—
355C2×#103—112no—
356C2×#102—112no—
357C2×#102—112no—
358C2×#102—112no—
359#407—118no—
360C2×C22⋊C8—111no—
361C2×C22⋊C8—111no—
362C2×C22⋊C8—112no—
363C22×C11—22no—
364C22×C11—28no—
365C22×C11—22no—
366C22×C11—22no—
367C22×C11—22no—
368C22×C11—22no—
369C22×C11—22no—
370C22×C11—22no—
371C22×C11—22no—
372C22×C11—416no—
373C22×C11—44no—
374C22×C11—44no—
375C22×C11—42no—
376C22×C11—42no—
377C22×C11—42no—
378C22×C11—84no—
379C22×C11#53412yes—
380C22×C11C2×AGL(1,ℤ/8)14yes—
381C22×C11C2×AGL(1,ℤ/8)12yes—
382C22×C11#57512yes—
383C22×C11C23×D411yescharacteristic
384C2×D11—44no—
385C2×D11—44no—
386C2×D11—44no—
387C2×D11—816no—
388C2×D11—88no—
389C4×C11—22no—
390C4×C11—22no—
391C4×C11—22no—
392C4×C11—42no—
393C4×C11—42no—
394C4×C11—42no—
395C4×C11#53412yes—
396C4×C11C2×H(5,𝔽2)12yes—
397Dic11—44no—
398C25—221no—
399C25C22⋊D1111yescharacteristic
400C2×#41—22no—
401C2×#41—44no—
402C2×#41C22×D1114yescomplemented
403C22×Q8C22×D1111yescharacteristic
404C22×D4—21no—
405C22×D4—21no—
406C22×D4—21no—
407C22×D4—112no—
408C22×D4—114no—
409C22×D4—228no—
410C22×D4—222no—
411C22×D4—222no—
412C22×D4—222no—
413C22×D4—221no—
414C22×D4—444no—
415C22×D4—448no—
416C22×D4C22×D1111yescharacteristic
417C23×C4—21no—
418C23×C4—44no—
419C23×C4—221no—
420C23×C4C22⋊D1111yescharacteristic
421C23×C4C22⋊D1111yescharacteristic
422C23×C4C22⋊D1111yescharacteristic
423C23×C4C22⋊D1114yes—
424C23×C4C22×D1111yescharacteristic
425C23×C4C22×D1111yescharacteristic
426C23×C4C22×D1111yescharacteristic
427C23×C4C22×D1114yes—
428C2×SD16—118no—
429C2×SD16—444no—
430C2×D8—118no—
431C2×D8—444no—
432C2×M16—118no—
433C2×M16—444no—
434C22×C8—112no—
435C22×C8—112no—
436#123—28no—
437C22⋊Q8—22no—
438C22⋊Q8—22no—
439C22⋊Q8C22×D1114yes—
440C22⋊Q8C22×D1114yescomplemented
441#121—22no—
442#121—22no—
443#121—118no—
444#121—118no—
445#121—224no—
446#121—224no—
447#121—228no—
448#121—228no—
449#121C22×D1114yes—
450#121C22×D1114yescomplemented
451#120—28no—
452C4×D4—28no—
453C4×D4—28no—
454#117—22no—
455#117C22×D1114yescomplemented
456C2×C4⋊C4—21no—
457C2×C4⋊C4—21no—
458C2×C4⋊C4—112no—
459C2×C4⋊C4—114no—
460C2×C4⋊C4—222no—
461C2×C4⋊C4—221no—
462C2×C4⋊C4C22×D1111yescharacteristic
463C2×C4⋊C4C22×D1111yescharacteristic
464C2×C22⋊C4—21no—
465C2×C22⋊C4—21no—
466C2×C22⋊C4—21no—
467C2×C22⋊C4—21no—
468C2×C22⋊C4—21no—
469C2×C22⋊C4—228no—
470C2×C22⋊C4—222no—
471C2×C22⋊C4—222no—
472C2×C42—21no—
473#107—118no—
474#106—118no—
475#103—118no—
476#102—118no—
477#102—118no—
478#102—118no—
479C22⋊C8—114no—
480C22⋊C8—114no—
481C22⋊C8—118no—
482C2×C11—24no—
483C2×C11—42no—
484C2×C11—42no—
485C2×C11—82no—
486C2×C11#319414yescomplemented
487C2×C11C2×#53411yescharacteristic
488C2×C11C22×AGL(1,ℤ/8)11yescharacteristic
489C2×C11C2×#57511yescharacteristic
490D11—84no—
491C24—24no—
492C24—21no—
493C24—42no—
494C24—42no—
495C24—224no—
496C24—222no—
497C24—444no—
498C24—444no—
499C24—444no—
500C24C2×C22⋊D1111yescharacteristic
501C24C2×C22⋊D1111yescharacteristic
502C24C2×C22⋊D1111yescharacteristic
503C24C2×C22⋊D1114yes—
504#41—48no—
505#41—48no—
506C2×Q8—21no—
507C2×Q8—24no—
508C2×Q8C23×D1112yes—
509C2×D4—24no—
510C2×D4—24no—
511C2×D4—24no—
512C2×D4—24no—
513C2×D4—21no—
514C2×D4—44no—
515C2×D4—44no—
516C2×D4—44no—
517C2×D4—114no—
518C2×D4—228no—
519C2×D4—228no—
520C2×D4—224no—
521C2×D4—224no—
522C2×D4—224no—
523C2×D4—222no—
524C2×D4—448no—
525C2×D4—444no—
526C2×D4—448no—
527C2×D4—4432no—
528C2×D4—448no—
529C2×D4—448no—
530C2×D4C23×D1112yes—
531C22×C4—24no—
532C22×C4—24no—
533C22×C4—24no—
534C22×C4—21no—
535C22×C4—21no—
536C22×C4—21no—
537C22×C4—24no—
538C22×C4—48no—
539C22×C4—48no—
540C22×C4—42no—
541C22×C4—42no—
542C22×C4—42no—
543C22×C4—44no—
544C22×C4—224no—
545C22×C4—222no—
546C22×C4—444no—
547C22×C4C2×C22⋊D1112yes—
548C22×C4C2×C22⋊D1112yes—
549C22×C4C2×C22⋊D1112yes—
550C22×C4C2×C22⋊D1111yescharacteristic
551C22×C4C2×C22⋊D1111yescharacteristic
552C22×C4C2×C22⋊D1111yescharacteristic
553C22×C4C2×C22⋊D1114yes—
554C22×C4C2×C22⋊D1114yes—
555C22×C4C2×C22⋊D1114yes—
556C22×C4C23×D1112yes—
557C22×C4C23×D1112yes—
558C22×C4C23×D1112yes—
559C22×C4C23×D1111yescharacteristic
560SD16—448no—
561D8—448no—
562M16—448no—
563C2×C8—114no—
564C2×C8—114no—
565C2×C8—224no—
566C2×C8—224no—
567C4⋊C4—24no—
568C4⋊C4—24no—
569C4⋊C4—21no—
570C4⋊C4—21no—
571C4⋊C4—114no—
572C4⋊C4—224no—
573C4⋊C4—222no—
574C4⋊C4C23×D1112yes—
575C4⋊C4C23×D1112yes—
576C22⋊C4—24no—
577C22⋊C4—24no—
578C22⋊C4—24no—
579C22⋊C4—24no—
580C22⋊C4—24no—
581C22⋊C4—228no—
582C22⋊C4—228no—
583C42—24no—
584C11C2×#319411yescharacteristic, complemented, Sylow
585C23—22no—
586C23—22no—
587C23—22no—
588C23—22no—
589C23—28no—
590C23—22no—
591C23—22no—
592C23—22no—
593C23—22no—
594C23—22no—
595C23—44no—
596C23—44no—
597C23—416no—
598C23—42no—
599C23—42no—
600C23—42no—
601C23—224no—
602C23—448no—
603C23—448no—
604C23—444no—
605C23—448no—
606C23—444no—
607C23—444no—
608C23—8816no—
609C23#6700214yes—
610C23C22×C22⋊D1112yes—
611C23C22×C22⋊D1112yes—
612C23C22×C22⋊D1112yes—
613C23C22×C22⋊D1111yescharacteristic
614Q8—24no—
615Q8—42no—
616D4—24no—
617D4—48no—
618D4—48no—
619D4—48no—
620D4—42no—
621D4—224no—
622D4—224no—
623D4—448no—
624D4—4416no—
625D4—4416no—
626D4—444no—
627C2×C4—22no—
628C2×C4—22no—
629C2×C4—22no—
630C2×C4—24no—
631C2×C4—24no—
632C2×C4—24no—
633C2×C4—24no—
634C2×C4—24no—
635C2×C4—24no—
636C2×C4—22no—
637C2×C4—22no—
638C2×C4—22no—
639C2×C4—44no—
640C2×C4—44no—
641C2×C4—44no—
642C2×C4—48no—
643C2×C4—42no—
644C2×C4—42no—
645C2×C4—42no—
646C2×C4—224no—
647C2×C4—448no—
648C2×C4—444no—
649C2×C4#6703714yes—
650C2×C4C22×C22⋊D1112yes—
651C2×C4C22×C22⋊D1112yes—
652C2×C4C22×C22⋊D1112yes—
653C2×C4C22×C22⋊D1111yescharacteristic
654C2×C4C24×D1111yescharacteristic
655C8—224no—
656C8—224no—
657C22—22no—
658C22—28no—
659C22—22no—
660C22—22no—
661C22—22no—
662C22—22no—
663C22—22no—
664C22—22no—
665C22—22no—
666C22—416no—
667C22—44no—
668C22—44no—
669C22—42no—
670C22—42no—
671C22—42no—
672C22—84no—
673C22—444no—
674C22—444no—
675C22—444no—
676C22—8816no—
677C22—888no—
678C22#1062333512yes—
679C22C2×#6700214yes—
680C22C2×#6700212yes—
681C22#1062335312yes—
682C22C23×C22⋊D1111yescharacteristic
683C4—22no—
684C4—22no—
685C4—22no—
686C4—42no—
687C4—42no—
688C4—42no—
689C4—444no—
690C4#1062333512yes—
691C4C2×#6703712yes—
692C2—24no—
693C2—42no—
694C2—42no—
695C2—82no—
696C2—884no—
697C2#1307942614yesdirect product factor
698C2C2×#1062333511yescharacteristic
699C2C22×#6700211yescharacteristic
700C2C2×#1062335311yescharacteristic
subgroupG/H
centerC23C22×C22⋊D11
commutator, cosocleC2×C4×C11C25
FrattiniC2×C4C24×D11
FittingC2×C11×#525C2
socleC23×C11C22×D4
hypercenterC2×#525D11
hypocenterC11C2×#3194
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C23 ◁ C24×C4 ◁ C2×#525

Complements

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

NH ≅ G/Ntype
1. C22×#66983C2semidirect
2. #13079426C2direct (N × H)
3. C2×#10622616C2semidirect
4. C2×#10622656C2semidirect
5. C2×#10622646C2semidirect
6. C2×#10622652C2semidirect
7. C2×#10622662C2semidirect
8. C2×#10622851C2semidirect
9. C2×#10622659C2semidirect
10. C2×#10622649C2semidirect
11. C2×#10622820C2semidirect
12. C2×C11×#525C2semidirect
13. C22×C11×#41C22semidirect
18. C11×#525C22semidirect
21. C2×C11×C22⋊Q8C22semidirect
23. C2×C11×#121C22semidirect
27. C2×C11×#117C22semidirect
28. C22×#4325C22semidirect
29. C22×#4323C22semidirect
35. C2×#66983C22semidirect
38. C22×#4318C22semidirect
39. #10622851C22semidirect
40. C2×#66899C22semidirect
41. C2×#66896C22semidirect
42. #10622820C22semidirect
45. C2×C22⋊(C11⋊C8)C22semidirect
46. #10622662C22semidirect
47. #10622659C22semidirect
48. #10622656C22semidirect
49. #10622652C22semidirect
50. #10622649C22semidirect
51. #10622646C22semidirect
52. #10622616C22semidirect
53. C2×#66873C22semidirect
54. C2×#66873C22semidirect
55. C2×#66872C22semidirect
56. C2×#66871C22semidirect
61. C2×C11×#41C23semidirect
91. C11×C22⋊Q8C23semidirect
95. C11×#121C23semidirect
100. C11×#117C23semidirect
112. C2×#4325C23semidirect
114. C2×#4323C23semidirect
129. C2×#4318C23semidirect
132. #66899C23semidirect
133. #66896C23semidirect
136. C22⋊(C11⋊C8)C23semidirect
137. #66873C23semidirect
138. #66873C23semidirect
139. #66872C23semidirect
140. #66871C23semidirect
235. C2×#525D11semidirect
319. C22×#41C2×D11semidirect
327. #525C2×D11semidirect
330. C2×C22⋊Q8C2×D11semidirect
338. C2×#121C2×D11semidirect
342. C2×#117C2×D11semidirect
402. C2×#41C22×D11semidirect
440. C22⋊Q8C22×D11semidirect
450. #121C22×D11semidirect
455. #117C22×D11semidirect
486. C2×C11#3194semidirect
584. C11C2×#3194semidirect
697. C2#13079426direct (N × H)

Maximal subgroups

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

subgroupindex
C22×#669832
#130794262
C2×#106226162
C2×#106226562
C2×#106226462
C2×#106226522
C2×#106226622
C2×#106228512
C2×#106226592
C2×#106226492
C2×#106228202
C2×C11×#5252
C2×#319411