Finite Group Databasebeta

← C2×#13073543 #14923806

Subgroups — C2×#13073543 #14923806

Order 2816.

5726 conjugacy classes of subgroups.

The subgroup lattice has 720 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#66947C212yesmaximal, complemented
2C22×#66948C211yesmaximal, characteristic, complemented
3C22×#66935C212yesmaximal, complemented
4C22×C22⋊C4×D11C211yesmaximal, characteristic, complemented
5#13073543C2116yesmaximal, direct product factor
6C2×#10622605C211yesmaximal, characteristic, complemented
7C2×#10622284C211yesmaximal, characteristic, complemented
8C2×#10622573C211yesmaximal, characteristic, complemented
9C2×#10622601C212yesmaximal, complemented
10C2×#10622570C212yesmaximal, complemented
11C2×#10622279C211yesmaximal, characteristic, complemented
12C2×C11×#399C211yesmaximal, characteristic, complemented
13C25×D11C2211yescharacteristic
14C23×C22⋊D11C2212yes—
15C23×D44C2212yes—
16C23×D44C2212yes—
17C23×D44C2211yescharacteristic, complemented
18C23×C4×D11C2211yescharacteristic
19C23×C4×D11C2211yescharacteristic
20C22×C11×C4⋊C4C2212yescomplemented
21C22×C11×C4⋊C4C2211yescharacteristic, complemented
22C22×C11×C22⋊C4C2211yescharacteristic
23C22×C11×C22⋊C4C2212yes—
24C22×C22⋊Dic11C2211yescharacteristic
25C22×(C2×D11)⋊C4C2211yescharacteristic
26C22×(C2×D11)⋊C4C2211yescharacteristic
27C22×(C2×D11)⋊C4C2212yes—
28C22×(C2×D11)⋊C4C2212yes—
29C22×(C2×D11)⋊C4C2212yescomplemented
30C22×(C2×D11)⋊C4C2212yescomplemented
31C22×(C2×D11)⋊C4C2212yescomplemented
32C22×Dic11⋊C4C2212yescomplemented
33C22×C4×Dic11C2212yescomplemented
34C2×#66948—28no—
35C2×#66948C2218yescomplemented
36C2×#66947—216no—
37C2×#66947C22116yescomplemented
38C2×#66935—216no—
39C2×#66935C22116yescomplemented
40C2×C22⋊C4×D11—28no—
41C2×C22⋊C4×D11C2218yescomplemented
42C11×#399C2218yescomplemented
43C2×C11×#95C2211yescharacteristic, complemented
44C2×C11⋊#95C2211yescharacteristic, complemented
45#10622605C2218yescomplemented
46#10622601C22116yescomplemented
47#10622573C2218yescomplemented
48#10622570C22116yescomplemented
49#10622284C2218yescomplemented
50#10622279C2218yescomplemented
51C25×C11C2311yescharacteristic
52C24×D11—24no—
53C24×D11—24no—
54C24×D11—24no—
55C24×D11—28no—
56C24×D11—44no—
57C24×D11C2312yes—
58C24×D11C2311yescharacteristic
59C24×D11C2314yes—
60C24×D11C2311yescharacteristic
61C23×C4×C11C2312yes—
62C23×C4×C11C2311yescharacteristic
63C23×C4×C11C2312yes—
64C23×C4×C11C2311yescharacteristic
65C22×C22⋊D11—28no—
66C22×C22⋊D11—28no—
67C22×C22⋊D11—44no—
68C22×C22⋊D11C2318yes—
69C23×Dic11C2311yescharacteristic
70C23×Dic11C2311yescharacteristic
71C23×Dic11C2312yes—
72C22×D44—28no—
73C22×D44—28no—
74C22×D44—28no—
75C22×D44—28no—
76C22×D44—28no—
77C22×D44—24no—
78C22×D44—44no—
79C22×D44—44no—
80C22×D44C2318yes—
81C22×D44C2318yes—
82C22×D44C2314yescomplemented
83C22×C4×D11—24no—
84C22×C4×D11—28no—
85C22×C4×D11—44no—
86C22×C4×D11D418yescomplemented
87C22×C4×D11C2314yes—
88C22×C4×D11C2314yes—
89C2×C11×C4⋊C4—28no—
90C2×C11×C4⋊C4—24no—
91C2×C11×C4⋊C4C2318yescomplemented
92C2×C11×C4⋊C4C2314yescomplemented
93C2×C11×C22⋊C4—24no—
94C2×C11×C22⋊C4—28no—
95C2×C11×C22⋊C4C2314yes—
96C2×C11×C22⋊C4C2318yes—
97C2×C22⋊Dic11—24no—
98C2×C22⋊Dic11C2314yes—
99C2×(C2×D11)⋊C4—24no—
100C2×(C2×D11)⋊C4—28no—
101C2×(C2×D11)⋊C4—24no—
102C2×(C2×D11)⋊C4—28no—
103C2×(C2×D11)⋊C4—28no—
104C2×(C2×D11)⋊C4—28no—
105C2×(C2×D11)⋊C4D4116yescomplemented
106C2×(C2×D11)⋊C4C2314yes—
107C2×(C2×D11)⋊C4C2314yes—
108C2×(C2×D11)⋊C4C2318yes—
109C2×(C2×D11)⋊C4C2318yes—
110C2×(C2×D11)⋊C4C2318yescomplemented
111C2×(C2×D11)⋊C4C2318yescomplemented
112C2×(C2×D11)⋊C4C2318yescomplemented
113C2×Dic11⋊C4—28no—
114C2×Dic11⋊C4C2318yescomplemented
115C2×C4×Dic11—44no—
116C2×C4×Dic11C2318yescomplemented
117#66948—232no—
118#66947—264no—
119#66935—264no—
120C22⋊C4×D11—232no—
121C11×#95C2314yescomplemented
122C11⋊#95C2314yescomplemented
123C2×#2539—111nomaximal, Sylow
124C24×C11—22no—
125C24×C11—24no—
126C24×C11—22no—
127C24×C11—24no—
128C24×C11#4114yes—
129C24×C11C2412yes—
130C24×C11C2411yescharacteristic
131C23×D11—22no—
132C23×D11—22no—
133C23×D11—24no—
134C23×D11—232no—
135C23×D11—22no—
136C23×D11—24no—
137C23×D11—28no—
138C23×D11—22no—
139C23×D11—24no—
140C23×D11—28no—
141C23×D11—28no—
142C23×D11—24no—
143C23×D11—24no—
144C23×D11—24no—
145C23×D11—24no—
146C23×D11—24no—
147C23×D11—24no—
148C23×D11—24no—
149C23×D11—216no—
150C23×D11—48no—
151C23×D11—432no—
152C23×D11—432no—
153C23×D11—416no—
154C23×D11—416no—
155C23×D11C2×D418yes—
156C23×D11C2×D414yes—
157C23×D11#4114yes—
158C23×D11C2414yes—
159C23×D11C2412yes—
160C23×D11C2412yes—
161C22×C4×C11—24no—
162C22×C4×C11—24no—
163C22×C4×C11—24no—
164C22×C4×C11—24no—
165C22×C4×C11—22no—
166C22×C4×C11—24no—
167C22×C4×C11—24no—
168C22×C4×C11—24no—
169C22×C4×C11C2×D418yes—
170C22×C4×C11C2×D414yes—
171C22×C4×C11C2414yes—
172C22×C4×C11C2412yes—
173C22×C4×C11C2412yes—
174C22×C4×C11C2414yes—
175C2×C22⋊D11—216no—
176C2×C22⋊D11—216no—
177C2×C22⋊D11—48no—
178C2×C22⋊D11—432no—
179C22×Dic11—24no—
180C22×Dic11—22no—
181C22×Dic11—24no—
182C22×Dic11—24no—
183C22×Dic11—24no—
184C22×Dic11C2×D418yes—
185C22×Dic11C2×D414yes—
186C22×Dic11C2412yes—
187C22×Dic11C2414yes—
188C22×Dic11C2412yes—
189C2×D44—216no—
190C2×D44—216no—
191C2×D44—216no—
192C2×D44—216no—
193C2×D44—216no—
194C2×D44—28no—
195C2×D44—48no—
196C2×D44—48no—
197C2×D44—432no—
198C2×D44—416no—
199C2×D44—432no—
200C2×C4×D11—28no—
201C2×C4×D11—216no—
202C2×C4×D11—416no—
203C2×C4×D11—48no—
204C2×C4×D11—416no—
205C2×C4×D11C2×D4116yescomplemented
206C11×C4⋊C4—216no—
207C11×C4⋊C4—28no—
208C11×C22⋊C4—28no—
209C11×C22⋊C4—216no—
210C22⋊Dic11—28no—
211(C2×D11)⋊C4—28no—
212(C2×D11)⋊C4—216no—
213(C2×D11)⋊C4—216no—
214(C2×D11)⋊C4—216no—
215(C2×D11)⋊C4—28no—
216(C2×D11)⋊C4—216no—
217(C2×D11)⋊C4C2×D4132yescomplemented
218Dic11⋊C4—216no—
219C4×Dic11—48no—
220C22×#123—112no—
221C22×#121—111no—
222C22×#120—112no—
223C23×C22⋊C4—111no—
224#2539—1116no—
225C2×#399—111no—
226C2×#399D1111yescharacteristic, complemented
227C2×#392—111no—
228C2×#392—111no—
229C2×#390—112no—
230C2×#390—112no—
231C2×C4×C22⋊C4—111no—
232C23×C11—28no—
233C23×C11—216no—
234C23×C11—22no—
235C23×C11—24no—
236C23×C11—22no—
237C23×C11—24no—
238C23×C11—44no—
239C23×C11—44no—
240C23×C11—48no—
241C23×C11C22×D412yes—
242C23×C11C22×D414yes—
243C23×C11C2×#4114yes—
244C23×C11C2×#4112yes—
245C23×C11C2×#4112yes—
246C23×C11H(5,𝔽2)14yes—
247C23×C11C2511yescharacteristic
248C22×D11—28no—
249C22×D11—28no—
250C22×D11—216no—
251C22×D11—216no—
252C22×D11—22no—
253C22×D11—22no—
254C22×D11—24no—
255C22×D11—232no—
256C22×D11—28no—
257C22×D11—216no—
258C22×D11—22no—
259C22×D11—24no—
260C22×D11—22no—
261C22×D11—24no—
262C22×D11—24no—
263C22×D11—24no—
264C22×D11—24no—
265C22×D11—24no—
266C22×D11—24no—
267C22×D11—24no—
268C22×D11—24no—
269C22×D11—432no—
270C22×D11—432no—
271C22×D11—416no—
272C22×D11—4128no—
273C22×D11—44no—
274C22×D11—44no—
275C22×D11—48no—
276C22×D11—416no—
277C22×D11—48no—
278C22×D11—48no—
279C22×D11—48no—
280C22×D11—48no—
281C22×D11—48no—
282C22×D11—48no—
283C22×D11—48no—
284C22×D11#127116yes—
285C22×D11C22×D418yes—
286C22×D11C22×D414yes—
287C22×D11C2×#4114yes—
288C2×C4×C11—28no—
289C2×C4×C11—216no—
290C2×C4×C11—24no—
291C2×C4×C11—24no—
292C2×C4×C11—24no—
293C2×C4×C11—24no—
294C2×C4×C11—22no—
295C2×C4×C11—24no—
296C2×C4×C11—24no—
297C2×C4×C11—24no—
298C2×C4×C11—44no—
299C2×C4×C11—48no—
300C2×C4×C11C22×D418yes—
301C2×C4×C11C22×D414yes—
302C22⋊D11—432no—
303C2×Dic11—28no—
304C2×Dic11—216no—
305C2×Dic11—24no—
306C2×Dic11—24no—
307C2×Dic11—24no—
308C2×Dic11—24no—
309C2×Dic11—22no—
310C2×Dic11—44no—
311C2×Dic11C22×D418yes—
312C2×Dic11C22×D414yes—
313D44—432no—
314D44—416no—
315D44—432no—
316C4×D11—416no—
317C4×D11—416no—
318C26—111no—
319C23×D4—112no—
320C23×D4—112no—
321C23×D4—112no—
322C23×D4—111no—
323C24×C4—111no—
324C24×C4—111no—
325C2×#123—1116no—
326C2×#123—2216no—
327C2×#121—118no—
328C2×#121—228no—
329C2×#120—1116no—
330C2×#120—2216no—
331C22×C4⋊C4—112no—
332C22×C4⋊C4C2×D1111yescharacteristic, complemented
333C22×C4⋊C4C2×D1112yescomplemented
334C22×C22⋊C4—112no—
335C22×C22⋊C4—111no—
336C22×C22⋊C4—111no—
337C22×C22⋊C4—112no—
338C22×C22⋊C4—112no—
339C22×C22⋊C4—112no—
340C22×C22⋊C4—111no—
341C22×C22⋊C4—112no—
342C22×C22⋊C4—118no—
343C22×C22⋊C4—228no—
344C22×C22⋊C4C2×D1111yescharacteristic
345C22×C22⋊C4C2×D1112yes—
346C22×C42—112no—
347#399—118no—
348#399C2×D1118yescomplemented
349#392—118no—
350#392—118no—
351#390—1116no—
352#390—1116no—
353C4×C22⋊C4—118no—
354C2×#95—111no—
355C2×#95C2×D1111yescharacteristic, complemented
356C22×C11—24no—
357C22×C11—28no—
358C22×C11—42no—
359C22×C11—42no—
360C22×C11—44no—
361C22×C11—416no—
362C22×C11#52514yes—
363C22×C11C2×#12714yes—
364C22×C11#53414yes—
365C22×C11#54618yes—
366C22×C11#54618yes—
367C22×C11C23×D411yescharacteristic
368C22×C11C23×D412yes—
369C22×C11C22×#4111yescharacteristic
370C22×C11C22×#4111yescharacteristic
371C22×C11C2×H(5,𝔽2)12yes—
372C2×D11—24no—
373C2×D11—24no—
374C2×D11—28no—
375C2×D11—28no—
376C2×D11—232no—
377C2×D11—24no—
378C2×D11—28no—
379C2×D11—464no—
380C2×D11—42no—
381C2×D11—42no—
382C2×D11—44no—
383C2×D11—416no—
384C2×D11—44no—
385C2×D11—44no—
386C2×D11—44no—
387C2×D11—44no—
388C2×D11—44no—
389C2×D11—44no—
390C2×D11—44no—
391C2×D11—816no—
392C2×D11C2×#12718yes—
393C4×C11—24no—
394C4×C11—28no—
395C4×C11—42no—
396C4×C11—44no—
397Dic11—24no—
398Dic11—28no—
399Dic11—42no—
400C25—111no—
401C25—111no—
402C25—112no—
403C25—114no—
404C25—224no—
405C25—224no—
406C25—228no—
407C25—224no—
408C25—444no—
409C25C22×D1111yescharacteristic
410C22×D4—118no—
411C22×D4—118no—
412C22×D4—118no—
413C22×D4—114no—
414C22×D4—228no—
415C22×D4—228no—
416C22×D4—228no—
417C22×D4—228no—
418C22×D4—228no—
419C22×D4—228no—
420C22×D4—228no—
421C22×D4—224no—
422C22×D4—444no—
423C22×D4—444no—
424C22×D4—444no—
425C23×C4—111no—
426C23×C4—112no—
427C23×C4—118no—
428C23×C4—114no—
429C23×C4—111no—
430C23×C4—114no—
431C23×C4—224no—
432C23×C4—228no—
433C23×C4—444no—
434C23×C4C22×D1111yescharacteristic
435C23×C4C22×D1112yes—
436C23×C4C22×D1112yes—
437C23×C4C22×D1111yescharacteristic
438#123—2264no—
439#121—2232no—
440#120—2264no—
441C2×C4⋊C4—24no—
442C2×C4⋊C4—28no—
443C2×C4⋊C4—118no—
444C2×C4⋊C4—228no—
445C2×C4⋊C4C22×D1114yescomplemented
446C2×C4⋊C4C22×D1118yescomplemented
447C2×C22⋊C4—24no—
448C2×C22⋊C4—28no—
449C2×C22⋊C4—1116no—
450C2×C22⋊C4—118no—
451C2×C22⋊C4—114no—
452C2×C22⋊C4—114no—
453C2×C22⋊C4—114no—
454C2×C22⋊C4—118no—
455C2×C22⋊C4—118no—
456C2×C22⋊C4—118no—
457C2×C22⋊C4—118no—
458C2×C22⋊C4—2232no—
459C2×C22⋊C4—224no—
460C2×C22⋊C4—228no—
461C2×C22⋊C4—228no—
462C2×C22⋊C4—228no—
463C2×C22⋊C4—224no—
464C2×C22⋊C4—224no—
465C2×C22⋊C4—228no—
466C2×C22⋊C4C22×D1114yes—
467C2×C22⋊C4C22×D1118yes—
468C2×C42—118no—
469C2×C42—444no—
470#95—114no—
471#95C22×D1114yescomplemented
472C2×C11—44no—
473C2×C11#253918yescomplemented
474C2×C11C2×#52511yescharacteristic
475C2×C11C22×#12711yescharacteristic
476C2×C11C2×#53411yescharacteristic
477C2×C11C2×#54612yes—
478C2×C11C2×#54612yes—
479D11—28no—
480D11—44no—
481D11—84no—
482C24—22no—
483C24—24no—
484C24—22no—
485C24—24no—
486C24—118no—
487C24—114no—
488C24—112no—
489C24—114no—
490C24—112no—
491C24—114no—
492C24—228no—
493C24—228no—
494C24—2216no—
495C24—2232no—
496C24—222no—
497C24—222no—
498C24—224no—
499C24—222no—
500C24—224no—
501C24—228no—
502C24—222no—
503C24—224no—
504C24—224no—
505C24—224no—
506C24—224no—
507C24—224no—
508C24—224no—
509C24—224no—
510C24—224no—
511C24—448no—
512C24—4432no—
513C24—4416no—
514C24—4432no—
515C24—4416no—
516C24#434314yes—
517C24C23×D1112yes—
518C24C23×D1111yescharacteristic
519C2×D4—2216no—
520C2×D4—2216no—
521C2×D4—2216no—
522C2×D4—2216no—
523C2×D4—2216no—
524C2×D4—2216no—
525C2×D4—2216no—
526C2×D4—228no—
527C2×D4—448no—
528C2×D4—448no—
529C2×D4—4432no—
530C2×D4—4416no—
531C2×D4—4432no—
532C2×D4—448no—
533C2×D4—4432no—
534C22×C4—24no—
535C22×C4—24no—
536C22×C4—24no—
537C22×C4—22no—
538C22×C4—24no—
539C22×C4—24no—
540C22×C4—24no—
541C22×C4—24no—
542C22×C4—118no—
543C22×C4—114no—
544C22×C4—114no—
545C22×C4—112no—
546C22×C4—1116no—
547C22×C4—112no—
548C22×C4—228no—
549C22×C4—2216no—
550C22×C4—224no—
551C22×C4—224no—
552C22×C4—224no—
553C22×C4—222no—
554C22×C4—224no—
555C22×C4—4416no—
556C22×C4—448no—
557C22×C4—4416no—
558C22×C4D4×D1118yes—
559C22×C4D4×D1114yes—
560C22×C4C23×D1112yes—
561C22×C4C23×D1114yes—
562C22×C4C23×D1112yes—
563C22×C4C23×D1114yes—
564C4⋊C4—28no—
565C4⋊C4—216no—
566C4⋊C4—2216no—
567C22⋊C4—28no—
568C22⋊C4—216no—
569C22⋊C4—1132no—
570C22⋊C4—228no—
571C22⋊C4—2216no—
572C22⋊C4—2216no—
573C22⋊C4—2216no—
574C22⋊C4—228no—
575C22⋊C4—228no—
576C22⋊C4—2216no—
577C42—448no—
578C11C2×#253911yescharacteristic, complemented, Sylow
579C23—28no—
580C23—216no—
581C23—22no—
582C23—24no—
583C23—22no—
584C23—24no—
585C23—44no—
586C23—44no—
587C23—48no—
588C23—1116no—
589C23—118no—
590C23—114no—
591C23—114no—
592C23—2232no—
593C23—228no—
594C23—2216no—
595C23—228no—
596C23—2216no—
597C23—222no—
598C23—222no—
599C23—224no—
600C23—228no—
601C23—2216no—
602C23—222no—
603C23—224no—
604C23—222no—
605C23—224no—
606C23—224no—
607C23—224no—
608C23—224no—
609C23—224no—
610C23—224no—
611C23—224no—
612C23—224no—
613C23—4432no—
614C23—4416no—
615C23—4432no—
616C23—4416no—
617C23—44128no—
618C23—444no—
619C23—448no—
620C23—444no—
621C23—448no—
622C23—448no—
623C23—448no—
624C23—448no—
625C23—448no—
626C23—448no—
627C23—448no—
628C23C2×D4×D1112yes—
629C23C2×D4×D1114yes—
630C23C2×#434314yes—
631C23C2×#434312yes—
632C23#41×D1112yes—
633C23#6704214yes—
634C23C24×D1111yescharacteristic
635D4—4432no—
636D4—4416no—
637D4—4432no—
638D4—4432no—
639C2×C4—28no—
640C2×C4—216no—
641C2×C4—24no—
642C2×C4—24no—
643C2×C4—24no—
644C2×C4—22no—
645C2×C4—24no—
646C2×C4—24no—
647C2×C4—24no—
648C2×C4—24no—
649C2×C4—44no—
650C2×C4—48no—
651C2×C4—118no—
652C2×C4—114no—
653C2×C4—2216no—
654C2×C4—228no—
655C2×C4—224no—
656C2×C4—224no—
657C2×C4—224no—
658C2×C4—222no—
659C2×C4—224no—
660C2×C4—4416no—
661C2×C4—4416no—
662C2×C4—444no—
663C2×C4C2×D4×D1118yes—
664C2×C4C2×D4×D1114yes—
665C22—24no—
666C22—28no—
667C22—42no—
668C22—42no—
669C22—416no—
670C22—44no—
671C22—118no—
672C22—224no—
673C22—224no—
674C22—2232no—
675C22—228no—
676C22—228no—
677C22—224no—
678C22—228no—
679C22—4464no—
680C22—442no—
681C22—442no—
682C22—4416no—
683C22—444no—
684C22—444no—
685C22—444no—
686C22—444no—
687C22—444no—
688C22—444no—
689C22—444no—
690C22—444no—
691C22—8816no—
692C22#1062315814yes—
693C22#1062316118yes—
694C22#1062318414yes—
695C22#1062318518yes—
696C22D11×#12714yes—
697C22C22×D4×D1111yescharacteristic
698C22C22×D4×D1112yes—
699C22C22×#434311yescharacteristic
700C22C2×#41×D1111yescharacteristic
701C22C2×#6704212yes—
702C4—24no—
703C4—28no—
704C4—42no—
705C4—44no—
706C4—224no—
707C4—228no—
708C4—442no—
709C2—44no—
710C2—228no—
711C2—444no—
712C2—884no—
713C2#1307354318yesdirect product factor
714C2C2×#1062315811yescharacteristic
715C2C2×D11×#12711yescharacteristic
716C2C2×#1062318411yescharacteristic
717C2C2×#1062316112yes—
718C2C2×#1062318512yes—
subgroupG/H
centerC24C23×D11
commutator, cosocleC23×C11C25
FrattiniC23C24×D11
FittingC2×C11×#399C2
socleC24×C11C24
hypercenterC2×#399D11
hypocenterC11C2×#2539
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C24 ◁ C2×#399

Complements

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

NH ≅ G/Ntype
1. C22×#66947C2semidirect
2. C22×#66948C2semidirect
3. C22×#66935C2semidirect
4. C22×C22⋊C4×D11C2semidirect
5. #13073543C2direct (N × H)
6. C2×#10622605C2semidirect
7. C2×#10622284C2semidirect
8. C2×#10622573C2semidirect
9. C2×#10622601C2semidirect
10. C2×#10622570C2semidirect
11. C2×#10622279C2semidirect
12. C2×C11×#399C2semidirect
17. C23×D44C22semidirect
20. C22×C11×C4⋊C4C22semidirect
21. C22×C11×C4⋊C4C22semidirect
29. C22×(C2×D11)⋊C4C22semidirect
30. C22×(C2×D11)⋊C4C22semidirect
31. C22×(C2×D11)⋊C4C22semidirect
32. C22×Dic11⋊C4C22semidirect
33. C22×C4×Dic11C22semidirect
35. C2×#66948C22semidirect
37. C2×#66947C22semidirect
39. C2×#66935C22semidirect
41. C2×C22⋊C4×D11C22semidirect
42. C11×#399C22semidirect
43. C2×C11×#95C22semidirect
44. C2×C11⋊#95C22semidirect
45. #10622605C22semidirect
46. #10622601C22semidirect
47. #10622573C22semidirect
48. #10622570C22semidirect
49. #10622284C22semidirect
50. #10622279C22semidirect
82. C22×D44C23semidirect
86. C22×C4×D11D4semidirect
91. C2×C11×C4⋊C4C23semidirect
92. C2×C11×C4⋊C4C23semidirect
105. C2×(C2×D11)⋊C4D4semidirect
110. C2×(C2×D11)⋊C4C23semidirect
111. C2×(C2×D11)⋊C4C23semidirect
112. C2×(C2×D11)⋊C4C23semidirect
114. C2×Dic11⋊C4C23semidirect
116. C2×C4×Dic11C23semidirect
121. C11×#95C23semidirect
122. C11⋊#95C23semidirect
205. C2×C4×D11C2×D4semidirect
217. (C2×D11)⋊C4C2×D4semidirect
226. C2×#399D11semidirect
332. C22×C4⋊C4C2×D11semidirect
333. C22×C4⋊C4C2×D11semidirect
348. #399C2×D11semidirect
355. C2×#95C2×D11semidirect
445. C2×C4⋊C4C22×D11semidirect
446. C2×C4⋊C4C22×D11semidirect
471. #95C22×D11semidirect
473. C2×C11#2539semidirect
578. C11C2×#2539semidirect
713. C2#13073543direct (N × H)

Maximal subgroups

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

subgroupindex
C22×#669472
C22×#669482
C22×#669352
C22×C22⋊C4×D112
#130735432
C2×#106226052
C2×#106222842
C2×#106225732
C2×#106226012
C2×#106225702
C2×#106222792
C2×C11×#3992
C2×#253911