Finite Group Databasebeta

← C22×#10623180 #15660447

Subgroups — C22×#10623180 #15660447

Order 2816.

8670 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×#10623180C2148yesmaximal, direct product factor
2C22×#66951C211yesmaximal, characteristic, complemented
3C22×#66932C211yesmaximal, characteristic, complemented
4C22×#66942C211yesmaximal, characteristic, complemented
5C22×#66938C211yesmaximal, characteristic, complemented
6C22×#66982C211yesmaximal, characteristic, complemented
7C22×#66931C211yesmaximal, characteristic, complemented
8C22×#66992C211yesmaximal, characteristic
9C22×#66940C211yesmaximal, characteristic, complemented
10C22×D4×Dic11C211yesmaximal, characteristic, complemented
11C22×(C22⋊D11)⋊C4C211yesmaximal, characteristic, complemented
12C22×(C22⋊D11)⋊C4C211yesmaximal, characteristic, complemented
13C22×#66945C211yesmaximal, characteristic, complemented
14C22×#66930C211yesmaximal, characteristic, complemented
15C23×C4×Dic11C211yesmaximal, characteristic, complemented
16C22×C11×#123C211yesmaximal, characteristic, complemented
17C23×D4×C11C2211yescharacteristic
18C24×C4×C11C2211yescharacteristic
19C23×C22⋊D11C2211yescharacteristic
20C23×C22⋊D11C2211yescharacteristic
21C24×Dic11C2211yescharacteristic
22C24×Dic11C2211yescharacteristic
23C24×Dic11C2211yescharacteristic
24C23×C4×D11C2211yescharacteristic
25C23×Dic22C2211yescharacteristic
26C2×C11×#123C22124yescomplemented
27C22×C11×C4⋊C4C2211yescharacteristic
28C22×C11×C4⋊C4C2211yescharacteristic
29C22×C11×C22⋊C4C2211yescharacteristic
30C22×C11×C22⋊C4C2211yescharacteristic
31C22×C11×C22⋊C4C2211yescharacteristic
32C22×C22⋊Dic11C2211yescharacteristic
33C22×C22⋊Dic11C2211yescharacteristic
34C22×C22⋊Dic11C2211yescharacteristic
35C2×#66992C22124yes—
36C2×D4×Dic11C22124yescomplemented
37C2×#66982C22124yescomplemented
38C22×(C2×D11)⋊C4C2211yescharacteristic
39C22×(C2×D11)⋊C4C2211yescharacteristic
40C22×(C2×D11)⋊C4C2211yescharacteristic
41C22×(C2×D11)⋊C4C2211yescharacteristic
42C22×C4⋊Dic11C2211yescharacteristic
43C22×C4⋊Dic11C2211yescharacteristic
44C22×Dic11⋊C4C2211yescharacteristic
45C22×Dic11⋊C4C2211yescharacteristic
46C22×Dic11⋊C4C2211yescharacteristic
47C22×Dic11⋊C4C2211yescharacteristic
48C22×Dic11⋊C4C2211yescharacteristic
49C22×Dic11⋊C4C2211yescharacteristic
50C22×C4×Dic11C2211yescharacteristic
51C22×C4×Dic11C2211yescharacteristic
52C22×C4×Dic11C2211yescharacteristic
53C22×C4×Dic11C2211yescharacteristic
54C22×C4×Dic11C2211yescharacteristic
55C22×C4×Dic11C2211yescharacteristic
56C22×C4×Dic11C22124yescomplemented
57#10623180C221256yesdirect product factor
58C2×#66951C22124yescomplemented
59C2×#66945C22124yescomplemented
60C2×#66942C22124yescomplemented
61C2×#66940C22124yescomplemented
62C2×#66938C22124yescomplemented
63C2×(C22⋊D11)⋊C4C22124yescomplemented
64C2×(C22⋊D11)⋊C4C22124yescomplemented
65C2×#66932C22124yescomplemented
66C2×#66931C22124yescomplemented
67C2×#66930C22124yescomplemented
68C25×C11C2311yescharacteristic
69C25×C11C2311yescharacteristic
70C24×D11C2311yescharacteristic
71C22×D4×C11—28no—
72C22×D4×C11C23112yes—
73C23×C4×C11—28no—
74C23×C4×C11C2311yescharacteristic
75C23×C4×C11C2311yescharacteristic
76C23×C4×C11C2311yescharacteristic
77C23×C4×C11C2311yescharacteristic
78C23×C4×C11C23112yes—
79C23×C4×C11C2311yescharacteristic
80C22×C22⋊D11—28no—
81C22×C22⋊D11—28no—
82C22×C22⋊D11C23112yes—
83C22×C22⋊D11C23112yes—
84C23×Dic11—28no—
85C23×Dic11—28no—
86C23×Dic11—28no—
87C23×Dic11C23112yes—
88C23×Dic11C23112yes—
89C23×Dic11C23112yes—
90C23×Dic11C2311yescharacteristic
91C23×Dic11C2311yescharacteristic
92C23×Dic11C2311yescharacteristic
93C23×Dic11C2311yescharacteristic
94C23×Dic11C2311yescharacteristic
95C23×Dic11C2311yescharacteristic
96C23×Dic11C2311yescharacteristic
97C22×C4×D11—28no—
98C22×C4×D11C23112yes—
99C22×Dic22—28no—
100C22×Dic22C23112yes—
101C11×#123C23164yescomplemented
102C2×C11×C4⋊C4C23112yes—
103C2×C11×C4⋊C4C23112yes—
104C2×C11×C22⋊C4C23112yes—
105C2×C11×C22⋊C4C23112yes—
106C2×C11×C22⋊C4C23112yes—
107C2×C22⋊Dic11C23112yes—
108C2×C22⋊Dic11C23112yes—
109C2×C22⋊Dic11C23112yes—
110#66992C23164yes—
111D4×Dic11C23164yescomplemented
112#66982C23164yescomplemented
113C2×(C2×D11)⋊C4C23112yes—
114C2×(C2×D11)⋊C4C23112yes—
115C2×(C2×D11)⋊C4C23112yes—
116C2×(C2×D11)⋊C4C23112yes—
117C2×C4⋊Dic11C23112yes—
118C2×C4⋊Dic11C23112yes—
119C2×Dic11⋊C4C23112yes—
120C2×Dic11⋊C4C23112yes—
121C2×Dic11⋊C4C23112yes—
122C2×Dic11⋊C4C23112yes—
123C2×Dic11⋊C4C23112yes—
124C2×Dic11⋊C4C23112yes—
125C2×C4×Dic11C23112yes—
126C2×C4×Dic11C23112yes—
127C2×C4×Dic11C23112yes—
128C2×C4×Dic11C23112yes—
129C2×C4×Dic11C23112yes—
130C2×C4×Dic11C23112yes—
131C2×C4×Dic11C23164yescomplemented
132#66951C23164yescomplemented
133#66945C23164yescomplemented
134#66942C23164yescomplemented
135#66940C23164yescomplemented
136#66938C23164yescomplemented
137(C22⋊D11)⋊C4C23164yescomplemented
138(C22⋊D11)⋊C4C23164yescomplemented
139#66932C23164yescomplemented
140#66931C23164yescomplemented
141#66930C23164yescomplemented
142C22×#529—111nomaximal, Sylow
143C24×C11—24no—
144C24×C11—24no—
145C24×C11—24no—
146C24×C11—24no—
147C24×C11—24no—
148C24×C11#4118yes—
149C24×C11C2416yes—
150C24×C11C2416yes—
151C24×C11C2411yescharacteristic
152C23×D11—24no—
153C23×D11—24no—
154C23×D11—24no—
155C23×D11C2416yes—
156C2×D4×C11—248no—
157C2×D4×C11C24116yes—
158C22×C4×C11—24no—
159C22×C4×C11—24no—
160C22×C4×C11—248no—
161C22×C4×C11—24no—
162C22×C4×C11—24no—
163C22×C4×C11—24no—
164C22×C4×C11C2416yes—
165C22×C4×C11C2416yes—
166C22×C4×C11C2416yes—
167C22×C4×C11C2416yes—
168C22×C4×C11C24116yes—
169C22×C4×C11C2416yes—
170C2×C22⋊D11—248no—
171C2×C22⋊D11—248no—
172C2×C22⋊D11C24116yes—
173C2×C22⋊D11C24116yes—
174C22×Dic11—248no—
175C22×Dic11—248no—
176C22×Dic11—248no—
177C22×Dic11—24no—
178C22×Dic11—24no—
179C22×Dic11—24no—
180C22×Dic11—24no—
181C22×Dic11—24no—
182C22×Dic11#4118yes—
183C22×Dic11#4118yes—
184C22×Dic11C24116yes—
185C22×Dic11C24116yes—
186C22×Dic11C24116yes—
187C22×Dic11C2416yes—
188C22×Dic11C2416yes—
189C22×Dic11C2416yes—
190C22×Dic11C2416yes—
191C22×Dic11C2416yes—
192C22×Dic11C2416yes—
193C22×Dic11C2416yes—
194C2×C4×D11—248no—
195C2×C4×D11C24116yes—
196C2×Dic22—248no—
197C2×Dic22C24116yes—
198C11×C4⋊C4C24116yes—
199C11×C4⋊C4C24116yes—
200C11×C22⋊C4C24116yes—
201C11×C22⋊C4C24116yes—
202C11×C22⋊C4C24116yes—
203C22⋊Dic11C24116yes—
204C22⋊Dic11C24116yes—
205C22⋊Dic11C24116yes—
206(C2×D11)⋊C4C24116yes—
207(C2×D11)⋊C4C24116yes—
208(C2×D11)⋊C4C24116yes—
209(C2×D11)⋊C4C24116yes—
210C4⋊Dic11C24116yes—
211C4⋊Dic11C24116yes—
212Dic11⋊C4C24116yes—
213Dic11⋊C4C24116yes—
214Dic11⋊C4C24116yes—
215Dic11⋊C4C24116yes—
216Dic11⋊C4C24116yes—
217Dic11⋊C4C24116yes—
218C4×Dic11C24116yes—
219C4×Dic11C24116yes—
220C4×Dic11C24116yes—
221C4×Dic11C24116yes—
222C4×Dic11C24116yes—
223C4×Dic11C24116yes—
224C2×#529—1148no—
225C22×#126—111no—
226C22×#126—111no—
227C22×#125—111no—
228C22×#124—111no—
229C22×#123—111no—
230C22×#123D1111yescharacteristic, complemented
231C22×C22⋊Q8—111no—
232C22×#121—111no—
233C22×C4×Q8—111no—
234C22×C4×D4—111no—
235C22×C4×D4—111no—
236C22×C4×D4—111no—
237C22×#117—111no—
238C22×#117—111no—
239C23×C42—111no—
240C23×C11—232no—
241C23×C11—212no—
242C23×C11—212no—
243C23×C11—212no—
244C23×C11—212no—
245C23×C11—212no—
246C23×C11—416no—
247C23×C11C2×#41124yes—
248C23×C11C2×#4114yes—
249C23×C11C2×#4114yes—
250C23×C11C2×#4114yes—
251C23×C11C2514yes—
252C23×C11C2514yes—
253C23×C11C2513yes—
254C22×D11—212no—
255C22×D11—212no—
256C22×D11—212no—
257C22×D11—416no—
258C22×D11C2514yes—
259D4×C11—232no—
260C2×C4×C11—212no—
261C2×C4×C11—212no—
262C2×C4×C11—232no—
263C2×C4×C11—212no—
264C2×C4×C11—212no—
265C2×C4×C11—212no—
266C2×C4×C11C2514yes—
267C2×C4×C11C2514yes—
268C2×C4×C11C2514yes—
269C2×C4×C11C2514yes—
270C2×C4×C11C2514yes—
271C22⋊D11—232no—
272C22⋊D11—232no—
273C2×Dic11—212no—
274C2×Dic11—212no—
275C2×Dic11—212no—
276C2×Dic11—212no—
277C2×Dic11—212no—
278C2×Dic11—232no—
279C2×Dic11—232no—
280C2×Dic11—232no—
281C2×Dic11C2×#41124yes—
282C2×Dic11C2×#41124yes—
283C2×Dic11C2514yes—
284C2×Dic11C2514yes—
285C2×Dic11C2514yes—
286C2×Dic11C2514yes—
287C2×Dic11C2514yes—
288C2×Dic11C2514yes—
289C2×Dic11C2514yes—
290C4×D11—232no—
291Dic22—232no—
292C23×Q8—111no—
293C23×D4—111no—
294C23×D4—111no—
295C23×D4C2×D1111yescharacteristic
296C24×C4—111no—
297C24×C4—111no—
298C24×C4—111no—
299C24×C4—111no—
300C24×C4C2×D1111yescharacteristic
301#529—11256no—
302C2×#126—1124no—
303C2×#126—1124no—
304C2×#125—1124no—
305C2×#124—1124no—
306C2×#123—1124no—
307C2×#123C2×D11124yescomplemented
308C2×C22⋊Q8—1124no—
309C2×#121—1124no—
310C2×C4×Q8—1124no—
311C2×C4×D4—1124no—
312C2×C4×D4—1124no—
313C2×C4×D4—1124no—
314C2×#117—1124no—
315C2×#117—1124no—
316C22×C4⋊C4—111no—
317C22×C4⋊C4—111no—
318C22×C4⋊C4—111no—
319C22×C4⋊C4—111no—
320C22×C4⋊C4—111no—
321C22×C4⋊C4—111no—
322C22×C4⋊C4—111no—
323C22×C4⋊C4—111no—
324C22×C4⋊C4C2×D1111yescharacteristic
325C22×C4⋊C4C2×D1111yescharacteristic
326C22×C22⋊C4—111no—
327C22×C22⋊C4—111no—
328C22×C22⋊C4—111no—
329C22×C22⋊C4—111no—
330C22×C22⋊C4—111no—
331C22×C22⋊C4—111no—
332C22×C22⋊C4—111no—
333C22×C22⋊C4C2×D1111yescharacteristic
334C22×C22⋊C4C2×D1111yescharacteristic
335C22×C22⋊C4C2×D1111yescharacteristic
336C22×C42—111no—
337C22×C42—111no—
338C22×C42—111no—
339C22×C42—111no—
340C22×C42—111no—
341C22×C42—111no—
342C22×C42—1124no—
343C22×C11—24no—
344C22×C11—24no—
345C22×C11—248no—
346C22×C11—24no—
347C22×C11—24no—
348C22×C11—24no—
349C22×C11—424no—
350C22×C11#529116yescomplemented
351C22×C11C22×#4118yes—
352C22×C11C22×#4116yes—
353C22×C11C22×#4116yes—
354C22×C11C22×#4116yes—
355C22×C11C2611yescharacteristic
356C2×D11—24no—
357C2×D11—24no—
358C2×D11—24no—
359C2×D11—424no—
360C4×C11—24no—
361C4×C11—24no—
362C4×C11—24no—
363C4×C11—24no—
364C4×C11—24no—
365Dic11—24no—
366Dic11—24no—
367Dic11—24no—
368Dic11—24no—
369Dic11—24no—
370Dic11C22×#4118yes—
371Dic11C22×#4118yes—
372C25—111no—
373C25C22×D1111yescharacteristic
374C25C22×D1111yescharacteristic
375C22×Q8—1112no—
376C22×Q8—228no—
377C22×D4—28no—
378C22×D4—1112no—
379C22×D4—1112no—
380C22×D4—228no—
381C22×D4—228no—
382C22×D4C22×D11112yes—
383C23×C4—28no—
384C23×C4—111no—
385C23×C4—111no—
386C23×C4—1112no—
387C23×C4—1112no—
388C23×C4—1112no—
389C23×C4—111no—
390C23×C4—111no—
391C23×C4—111no—
392C23×C4—111no—
393C23×C4—111no—
394C23×C4—1112no—
395C23×C4—228no—
396C23×C4—228no—
397C23×C4—228no—
398C23×C4—228no—
399C23×C4C22×D11112yes—
400C23×C4C22×D1111yescharacteristic
401C23×C4C22×D1111yescharacteristic
402C23×C4C22×D1111yescharacteristic
403C23×C4C22×D1111yescharacteristic
404C23×C4C22×D1111yescharacteristic
405#126—1164no—
406#126—1164no—
407#125—1164no—
408#124—1164no—
409#123—1164no—
410#123C22×D11164yescomplemented
411C22⋊Q8—1164no—
412#121—1164no—
413C4×Q8—1164no—
414C4×D4—1164no—
415C4×D4—1164no—
416C4×D4—1164no—
417#117—1164no—
418#117—1164no—
419C2×C4⋊C4—1112no—
420C2×C4⋊C4—1112no—
421C2×C4⋊C4—1112no—
422C2×C4⋊C4—1112no—
423C2×C4⋊C4—1112no—
424C2×C4⋊C4—1112no—
425C2×C4⋊C4—1112no—
426C2×C4⋊C4—1112no—
427C2×C4⋊C4C22×D11112yes—
428C2×C4⋊C4C22×D11112yes—
429C2×C22⋊C4—1112no—
430C2×C22⋊C4—1112no—
431C2×C22⋊C4—1112no—
432C2×C22⋊C4—1112no—
433C2×C22⋊C4—1112no—
434C2×C22⋊C4—1112no—
435C2×C22⋊C4—1112no—
436C2×C22⋊C4C22×D11112yes—
437C2×C22⋊C4C22×D11112yes—
438C2×C22⋊C4C22×D11112yes—
439C2×C42—1112no—
440C2×C42—1112no—
441C2×C42—1112no—
442C2×C42—1112no—
443C2×C42—1112no—
444C2×C42—1112no—
445C2×C42—1164no—
446C2×C11—28no—
447C2×C11—44no—
448C2×C11C2×#529112yescomplemented
449C2×C11C23×#4111yescharacteristic
450C2×C11C23×#4111yescharacteristic
451C2×C11C23×#4111yescharacteristic
452D11—44no—
453C24—24no—
454C24—24no—
455C24—24no—
456C24—24no—
457C24—24no—
458C24—116no—
459C24—224no—
460C24—224no—
461C24—224no—
462C24#434118yes—
463C24C23×D1116yes—
464C24C23×D1116yes—
465C24C23×D1111yescharacteristic
466C2×Q8—1116no—
467C2×Q8—2248no—
468C2×D4—248no—
469C2×D4—1116no—
470C2×D4—1116no—
471C2×D4—2248no—
472C2×D4—2248no—
473C2×D4C23×D11116yes—
474C22×C4—248no—
475C22×C4—24no—
476C22×C4—24no—
477C22×C4—24no—
478C22×C4—24no—
479C22×C4—24no—
480C22×C4—118no—
481C22×C4—118no—
482C22×C4—116no—
483C22×C4—116no—
484C22×C4—116no—
485C22×C4—116no—
486C22×C4—1116no—
487C22×C4—1116no—
488C22×C4—116no—
489C22×C4—116no—
490C22×C4—116no—
491C22×C4—1116no—
492C22×C4—1116no—
493C22×C4—2248no—
494C22×C4—2248no—
495C22×C4—2248no—
496C22×C4—2248no—
497C22×C4—224no—
498C22×C4—224no—
499C22×C4—224no—
500C22×C4—224no—
501C22×C4—224no—
502C22×C4C23×D1116yes—
503C22×C4C23×D1116yes—
504C22×C4C23×D11116yes—
505C22×C4C23×D1116yes—
506C22×C4C23×D1116yes—
507C22×C4C23×D1116yes—
508C4⋊C4—1116no—
509C4⋊C4—1116no—
510C4⋊C4—1116no—
511C4⋊C4—1116no—
512C4⋊C4—1116no—
513C4⋊C4—1116no—
514C4⋊C4—1116no—
515C4⋊C4—1116no—
516C4⋊C4C23×D11116yes—
517C4⋊C4C23×D11116yes—
518C22⋊C4—1116no—
519C22⋊C4—1116no—
520C22⋊C4—1116no—
521C22⋊C4—1116no—
522C22⋊C4—1116no—
523C22⋊C4—1116no—
524C22⋊C4—1116no—
525C22⋊C4C23×D11116yes—
526C22⋊C4C23×D11116yes—
527C22⋊C4C23×D11116yes—
528C42—1116no—
529C42—1116no—
530C42—1116no—
531C42—1116no—
532C42—1116no—
533C42—1116no—
534C11C22×#52911yescharacteristic, complemented, Sylow
535C23—232no—
536C23—212no—
537C23—212no—
538C23—212no—
539C23—212no—
540C23—212no—
541C23—416no—
542C23—114no—
543C23—2212no—
544C23—2212no—
545C23—2212no—
546C23—4416no—
547C23C2×#4341124yes—
548C23C2×#434114yes—
549C23#41×D1114yes—
550C23#41×D1114yes—
551C23C24×D1114yes—
552C23C24×D1114yes—
553C23C24×D1113yes—
554Q8—2232no—
555D4—232no—
556D4—2232no—
557D4—2232no—
558C2×C4—232no—
559C2×C4—212no—
560C2×C4—212no—
561C2×C4—212no—
562C2×C4—212no—
563C2×C4—212no—
564C2×C4—1124no—
565C2×C4—1124no—
566C2×C4—114no—
567C2×C4—114no—
568C2×C4—114no—
569C2×C4—114no—
570C2×C4—114no—
571C2×C4—114no—
572C2×C4—114no—
573C2×C4—2232no—
574C2×C4—2232no—
575C2×C4—2232no—
576C2×C4—2232no—
577C2×C4—2212no—
578C2×C4—2212no—
579C2×C4—2212no—
580C2×C4—2212no—
581C2×C4—2212no—
582C2×C4C24×D1114yes—
583C2×C4C24×D1114yes—
584C2×C4C24×D1114yes—
585C2×C4C24×D1114yes—
586C2×C4C24×D1114yes—
587C22—248no—
588C22—24no—
589C22—24no—
590C22—24no—
591C22—24no—
592C22—24no—
593C22—424no—
594C22—224no—
595C22—224no—
596C22—224no—
597C22—4424no—
598C22#10623180116yesdirect product factor
599C22C22×#434118yes—
600C22C22×#434116yes—
601C22C2×#41×D1116yes—
602C22C2×#41×D1116yes—
603C22C25×D1111yescharacteristic
604C4—24no—
605C4—24no—
606C4—24no—
607C4—24no—
608C4—24no—
609C4—118no—
610C4—118no—
611C4—224no—
612C4—224no—
613C4—224no—
614C4—224no—
615C4—224no—
616C2—28no—
617C2—44no—
618C2—444no—
619C2C2×#10623180112yesdirect product factor
620C2C22×#41×D1111yescharacteristic
621C2C22×#41×D1111yescharacteristic
622C2C23×#434111yescharacteristic
subgroupG/H
centerC24C23×D11
commutator, cosocleC22×C11C26
FrattiniC22C25×D11
FittingC22×C11×#123C2
socleC24×C11C24
prime radicalC22×#66992C2
hypercenterC22×#123D11
hypocenterC11C22×#529
LCSG ▷ C22×C11 ▷ C11
UCSC1 ◁ C24 ◁ C22×#123

Complements

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

NH ≅ G/Ntype
1. C2×#10623180C2direct (N × H)
2. C22×#66951C2semidirect
3. C22×#66932C2semidirect
4. C22×#66942C2semidirect
5. C22×#66938C2semidirect
6. C22×#66982C2semidirect
7. C22×#66931C2semidirect
9. C22×#66940C2semidirect
10. C22×D4×Dic11C2semidirect
11. C22×(C22⋊D11)⋊C4C2semidirect
12. C22×(C22⋊D11)⋊C4C2semidirect
13. C22×#66945C2semidirect
14. C22×#66930C2semidirect
15. C23×C4×Dic11C2semidirect
16. C22×C11×#123C2semidirect
26. C2×C11×#123C22semidirect
36. C2×D4×Dic11C22semidirect
37. C2×#66982C22semidirect
56. C22×C4×Dic11C22semidirect
57. #10623180C22direct (N × H)
58. C2×#66951C22semidirect
59. C2×#66945C22semidirect
60. C2×#66942C22semidirect
61. C2×#66940C22semidirect
62. C2×#66938C22semidirect
63. C2×(C22⋊D11)⋊C4C22semidirect
64. C2×(C22⋊D11)⋊C4C22semidirect
65. C2×#66932C22semidirect
66. C2×#66931C22semidirect
67. C2×#66930C22semidirect
101. C11×#123C23semidirect
111. D4×Dic11C23semidirect
112. #66982C23semidirect
131. C2×C4×Dic11C23semidirect
132. #66951C23semidirect
133. #66945C23semidirect
134. #66942C23semidirect
135. #66940C23semidirect
136. #66938C23semidirect
137. (C22⋊D11)⋊C4C23semidirect
138. (C22⋊D11)⋊C4C23semidirect
139. #66932C23semidirect
140. #66931C23semidirect
141. #66930C23semidirect
230. C22×#123D11semidirect
307. C2×#123C2×D11semidirect
350. C22×C11#529semidirect
410. #123C22×D11semidirect
448. C2×C11C2×#529semidirect
534. C11C22×#529semidirect
598. C22#10623180direct (N × H)
619. C2C2×#10623180direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#106231802
C22×#669512
C22×#669322
C22×#669422
C22×#669382
C22×#669822
C22×#669312
C22×#669922
C22×#669402
C22×D4×Dic112
C22×(C22⋊D11)⋊C42
C22×#669452
C22×#669302
C23×C4×Dic112
C22×C11×#1232
C22×#52911