Finite Group Databasebeta

← C22×#10623059 #15660448

Subgroups — C22×#10623059 #15660448

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×#10623059C2148yesmaximal, direct product factor
2C22×#66951C211yesmaximal, characteristic, complemented
3C22×#66932C211yesmaximal, characteristic, complemented
4C22×#66942C211yesmaximal, characteristic, complemented
5C22×#66938C211yesmaximal, characteristic, complemented
6C22×#66947C211yesmaximal, characteristic, complemented
7C22×#66936C211yesmaximal, characteristic, complemented
8C22×#66949C211yesmaximal, characteristic, complemented
9C22×#66937C211yesmaximal, characteristic
10C22×C4×Dic22C211yesmaximal, characteristic, complemented
11C22×C4×D44C211yesmaximal, characteristic, complemented
12C22×C4×C22⋊D11C211yesmaximal, characteristic, complemented
13C22×C4×C22⋊D11C211yesmaximal, characteristic, complemented
14C22×#66925C211yesmaximal, characteristic, complemented
15C22×C42×D11C211yesmaximal, characteristic, complemented
16C22×C11×#117C211yesmaximal, characteristic, complemented
17C24×C4×C11C2211yescharacteristic
18C23×C22⋊D11C2211yescharacteristic
19C23×C22⋊D11C2211yescharacteristic
20C23×D44C2211yescharacteristic
21C23×C4×D11C2211yescharacteristic
22C23×C4×D11C2211yescharacteristic
23C23×C4×D11C2211yescharacteristic
24C23×C4×D11C2211yescharacteristic
25C23×Dic22C2211yescharacteristic
26C2×C11×#117C22124yescomplemented
27C22×C11×C4⋊C4C2211yescharacteristic
28C22×C11×C4⋊C4C2211yescharacteristic
29C22×C11×C22⋊C4C2211yescharacteristic
30C22×C11×C22⋊C4C2211yescharacteristic
31C22×C42×C11C2211yescharacteristic
32C22×C42×C11C2211yescharacteristic
33C22×C22⋊Dic11C2211yescharacteristic
34C22×C22⋊Dic11C2211yescharacteristic
35C2×C4×C22⋊D11C22124yescomplemented
36C2×C4×C22⋊D11C22124yescomplemented
37C22×(C2×D11)⋊C4C2211yescharacteristic
38C22×(C2×D11)⋊C4C2211yescharacteristic
39C22×(C2×D11)⋊C4C2211yescharacteristic
40C22×(C2×D11)⋊C4C2211yescharacteristic
41C22×(C2×D11)⋊C4C2211yescharacteristic
42C22×(C2×D11)⋊C4C2211yescharacteristic
43C22×C4⋊Dic11C2211yescharacteristic
44C22×C4⋊Dic11C2211yescharacteristic
45C22×Dic11⋊C4C2211yescharacteristic
46C22×Dic11⋊C4C2211yescharacteristic
47C22×Dic11⋊C4C2211yescharacteristic
48C22×Dic11⋊C4C2211yescharacteristic
49C22×Dic11⋊C4C2211yescharacteristic
50C22×Dic11⋊C4C2211yescharacteristic
51C22×C4×Dic11C2211yescharacteristic
52C22×C4×Dic11C2211yescharacteristic
53C22×C4×Dic11C2211yescharacteristic
54C22×C4×Dic11C2211yescharacteristic
55#10623059C221256yesdirect product factor
56C2×#66951C22124yescomplemented
57C2×#66949C22124yescomplemented
58C2×#66947C22124yescomplemented
59C2×#66942C22124yescomplemented
60C2×#66938C22124yescomplemented
61C2×#66937C22124yes—
62C2×#66936C22124yescomplemented
63C2×#66932C22124yescomplemented
64C2×C4×D44C22124yescomplemented
65C2×#66925C22124yescomplemented
66C2×C42×D11C22124yescomplemented
67C2×C4×Dic22C22124yescomplemented
68C25×C11C2311yescharacteristic
69C24×D11C2311yescharacteristic
70C24×D11C2311yescharacteristic
71C23×C4×C11—28no—
72C23×C4×C11C2311yescharacteristic
73C23×C4×C11C2311yescharacteristic
74C23×C4×C11C2311yescharacteristic
75C23×C4×C11C2311yescharacteristic
76C23×C4×C11C2311yescharacteristic
77C23×C4×C11C23112yes—
78C23×C4×C11C2311yescharacteristic
79C22×C22⋊D11—28no—
80C22×C22⋊D11—28no—
81C22×C22⋊D11C23112yes—
82C22×C22⋊D11C23112yes—
83C23×Dic11C2311yescharacteristic
84C23×Dic11C2311yescharacteristic
85C23×Dic11C2311yescharacteristic
86C23×Dic11C2311yescharacteristic
87C23×Dic11C2311yescharacteristic
88C23×Dic11C2311yescharacteristic
89C22×D44—28no—
90C22×D44C23112yes—
91C22×C4×D11—28no—
92C22×C4×D11—28no—
93C22×C4×D11—28no—
94C22×C4×D11—28no—
95C22×C4×D11C23112yes—
96C22×C4×D11C23112yes—
97C22×C4×D11C23112yes—
98C22×C4×D11C23112yes—
99C22×Dic22—28no—
100C22×Dic22C23112yes—
101C11×#117C23164yescomplemented
102C2×C11×C4⋊C4C23112yes—
103C2×C11×C4⋊C4C23112yes—
104C2×C11×C22⋊C4C23112yes—
105C2×C11×C22⋊C4C23112yes—
106C2×C42×C11C23112yes—
107C2×C42×C11C23112yes—
108C2×C22⋊Dic11C23112yes—
109C2×C22⋊Dic11C23112yes—
110C4×C22⋊D11C23164yescomplemented
111C4×C22⋊D11C23164yescomplemented
112C2×(C2×D11)⋊C4C23112yes—
113C2×(C2×D11)⋊C4C23112yes—
114C2×(C2×D11)⋊C4C23112yes—
115C2×(C2×D11)⋊C4C23112yes—
116C2×(C2×D11)⋊C4C23112yes—
117C2×(C2×D11)⋊C4C23112yes—
118C2×C4⋊Dic11C23112yes—
119C2×C4⋊Dic11C23112yes—
120C2×Dic11⋊C4C23112yes—
121C2×Dic11⋊C4C23112yes—
122C2×Dic11⋊C4C23112yes—
123C2×Dic11⋊C4C23112yes—
124C2×Dic11⋊C4C23112yes—
125C2×Dic11⋊C4C23112yes—
126C2×C4×Dic11C23112yes—
127C2×C4×Dic11C23112yes—
128C2×C4×Dic11C23112yes—
129C2×C4×Dic11C23112yes—
130#66951C23164yescomplemented
131#66949C23164yescomplemented
132#66947C23164yescomplemented
133#66942C23164yescomplemented
134#66938C23164yescomplemented
135#66937C23164yes—
136#66936C23164yescomplemented
137#66932C23164yescomplemented
138C4×D44C23164yescomplemented
139#66925C23164yescomplemented
140C42×D11C23164yescomplemented
141C4×Dic22C23164yescomplemented
142C22×#529—111nomaximal, Sylow
143C24×C11—24no—
144C24×C11—24no—
145C24×C11—24no—
146C24×C11C2416yes—
147C24×C11C2411yescharacteristic
148C23×D11—24no—
149C23×D11—24no—
150C23×D11—24no—
151C23×D11—24no—
152C23×D11—24no—
153C23×D11#4118yes—
154C23×D11C2416yes—
155C23×D11C2416yes—
156C22×C4×C11—24no—
157C22×C4×C11—24no—
158C22×C4×C11—24no—
159C22×C4×C11—24no—
160C22×C4×C11—24no—
161C22×C4×C11—248no—
162C22×C4×C11#4118yes—
163C22×C4×C11C2416yes—
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—24no—
175C22×Dic11—24no—
176C22×Dic11—24no—
177C22×Dic11—24no—
178C22×Dic11—24no—
179C22×Dic11#4118yes—
180C22×Dic11C2416yes—
181C22×Dic11C2416yes—
182C22×Dic11C2416yes—
183C22×Dic11C2416yes—
184C22×Dic11C2416yes—
185C22×Dic11C2416yes—
186C2×D44—248no—
187C2×D44C24116yes—
188C2×C4×D11—248no—
189C2×C4×D11—248no—
190C2×C4×D11—248no—
191C2×C4×D11—248no—
192C2×C4×D11C24116yes—
193C2×C4×D11C24116yes—
194C2×C4×D11C24116yes—
195C2×C4×D11C24116yes—
196C2×Dic22—248no—
197C2×Dic22C24116yes—
198C11×C4⋊C4C24116yes—
199C11×C4⋊C4C24116yes—
200C11×C22⋊C4C24116yes—
201C11×C22⋊C4C24116yes—
202C42×C11C24116yes—
203C42×C11C24116yes—
204C22⋊Dic11C24116yes—
205C22⋊Dic11C24116yes—
206(C2×D11)⋊C4C24116yes—
207(C2×D11)⋊C4C24116yes—
208(C2×D11)⋊C4C24116yes—
209(C2×D11)⋊C4C24116yes—
210(C2×D11)⋊C4C24116yes—
211(C2×D11)⋊C4C24116yes—
212C4⋊Dic11C24116yes—
213C4⋊Dic11C24116yes—
214Dic11⋊C4C24116yes—
215Dic11⋊C4C24116yes—
216Dic11⋊C4C24116yes—
217Dic11⋊C4C24116yes—
218Dic11⋊C4C24116yes—
219Dic11⋊C4C24116yes—
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×#123—111no—
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×#117D1111yescharacteristic, complemented
239C23×C42—111no—
240C23×C11—212no—
241C23×C11—212no—
242C23×C11—212no—
243C23×C11—416no—
244C23×C11C2×#4114yes—
245C23×C11C2×#4114yes—
246C23×C11C2×#4114yes—
247C23×C11C2514yes—
248C23×C11C2513yes—
249C22×D11—232no—
250C22×D11—212no—
251C22×D11—212no—
252C22×D11—212no—
253C22×D11—212no—
254C22×D11—212no—
255C22×D11—416no—
256C22×D11C2×#41124yes—
257C22×D11C2514yes—
258C22×D11C2514yes—
259C2×C4×C11—212no—
260C2×C4×C11—212no—
261C2×C4×C11—212no—
262C2×C4×C11—212no—
263C2×C4×C11—212no—
264C2×C4×C11—232no—
265C2×C4×C11C2×#41124yes—
266C2×C4×C11C2514yes—
267C2×C4×C11C2514yes—
268C2×C4×C11C2514yes—
269C2×C4×C11C2514yes—
270C2×C4×C11C2514yes—
271C2×C4×C11C2514yes—
272C22⋊D11—232no—
273C22⋊D11—232no—
274C2×Dic11—212no—
275C2×Dic11—212no—
276C2×Dic11—212no—
277C2×Dic11—212no—
278C2×Dic11—212no—
279C2×Dic11C2×#41124yes—
280C2×Dic11C2514yes—
281C2×Dic11C2514yes—
282C2×Dic11C2514yes—
283C2×Dic11C2514yes—
284C2×Dic11C2514yes—
285C2×Dic11C2514yes—
286D44—232no—
287C4×D11—232no—
288C4×D11—232no—
289C4×D11—232no—
290C4×D11—232no—
291Dic22—232no—
292C23×Q8—111no—
293C23×D4—111no—
294C23×D4—111no—
295C23×D4—111no—
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×#123—1124no—
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×#117C2×D11124yescomplemented
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⋊C4—111no—
334C22×C22⋊C4C2×D1111yescharacteristic
335C22×C22⋊C4C2×D1111yescharacteristic
336C22×C42—111no—
337C22×C42—111no—
338C22×C42—111no—
339C22×C42—111no—
340C22×C42—1124no—
341C22×C42C2×D1111yescharacteristic
342C22×C42C2×D1111yescharacteristic
343C22×C11—24no—
344C22×C11—24no—
345C22×C11—24no—
346C22×C11—424no—
347C22×C11#529116yescomplemented
348C22×C11C22×#4116yes—
349C22×C11C22×#4116yes—
350C22×C11C22×#4116yes—
351C22×C11C2611yescharacteristic
352C2×D11—24no—
353C2×D11—24no—
354C2×D11—248no—
355C2×D11—24no—
356C2×D11—24no—
357C2×D11—24no—
358C2×D11—424no—
359C2×D11C22×#4118yes—
360C4×C11—24no—
361C4×C11—24no—
362C4×C11—24no—
363C4×C11—24no—
364C4×C11—24no—
365C4×C11C22×#4118yes—
366Dic11—24no—
367Dic11—24no—
368Dic11—24no—
369Dic11—24no—
370Dic11—24no—
371Dic11C22×#4118yes—
372C25—111no—
373C25—111no—
374C25C22×D1111yescharacteristic
375C22×Q8—1112no—
376C22×Q8—228no—
377C22×D4—1112no—
378C22×D4—1112no—
379C22×D4—1112no—
380C22×D4—228no—
381C22×D4—228no—
382C22×D4—228no—
383C23×C4—28no—
384C23×C4—111no—
385C23×C4—111no—
386C23×C4—111no—
387C23×C4—111no—
388C23×C4—111no—
389C23×C4—111no—
390C23×C4—1112no—
391C23×C4—1112no—
392C23×C4—1112no—
393C23×C4—1112no—
394C23×C4—228no—
395C23×C4—228no—
396C23×C4—228no—
397C23×C4—228no—
398C23×C4C22×D1111yescharacteristic
399C23×C4C22×D1111yescharacteristic
400C23×C4C22×D1111yescharacteristic
401C23×C4C22×D1111yescharacteristic
402C23×C4C22×D1111yescharacteristic
403C23×C4C22×D11112yes—
404C23×C4C22×D1111yescharacteristic
405#126—1164no—
406#126—1164no—
407#125—1164no—
408#124—1164no—
409#123—1164no—
410#123—1164no—
411C22⋊Q8—1164no—
412#121—1164no—
413C4×Q8—1164no—
414C4×D4—1164no—
415C4×D4—1164no—
416C4×D4—1164no—
417#117—1164no—
418#117C22×D11164yescomplemented
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⋊C4—1112no—
437C2×C22⋊C4C22×D11112yes—
438C2×C22⋊C4C22×D11112yes—
439C2×C42—1112no—
440C2×C42—1112no—
441C2×C42—1112no—
442C2×C42—1112no—
443C2×C42—1164no—
444C2×C42C22×D11112yes—
445C2×C42C22×D11112yes—
446C2×C11—44no—
447C2×C11C2×#529112yescomplemented
448C2×C11C23×#4111yescharacteristic
449C2×C11C23×#4111yescharacteristic
450C2×C11C23×#4111yescharacteristic
451D11—28no—
452D11—44no—
453C24—24no—
454C24—24no—
455C24—24no—
456C24—118no—
457C24—116no—
458C24—116no—
459C24—224no—
460C24—224no—
461C24—224no—
462C24—224no—
463C24—224no—
464C24C23×D1116yes—
465C24C23×D1111yescharacteristic
466C2×Q8—1116no—
467C2×Q8—2248no—
468C2×D4—1116no—
469C2×D4—1116no—
470C2×D4—1116no—
471C2×D4—2248no—
472C2×D4—2248no—
473C2×D4—2248no—
474C22×C4—24no—
475C22×C4—24no—
476C22×C4—24no—
477C22×C4—24no—
478C22×C4—24no—
479C22×C4—248no—
480C22×C4—118no—
481C22×C4—116no—
482C22×C4—116no—
483C22×C4—116no—
484C22×C4—116no—
485C22×C4—116no—
486C22×C4—116no—
487C22×C4—1116no—
488C22×C4—1116no—
489C22×C4—1116no—
490C22×C4—1116no—
491C22×C4—2248no—
492C22×C4—2248no—
493C22×C4—224no—
494C22×C4—224no—
495C22×C4—224no—
496C22×C4—224no—
497C22×C4—224no—
498C22×C4—2248no—
499C22×C4—2248no—
500C22×C4#433918yes—
501C22×C4C23×D1116yes—
502C22×C4C23×D1116yes—
503C22×C4C23×D1116yes—
504C22×C4C23×D1116yes—
505C22×C4C23×D1116yes—
506C22×C4C23×D11116yes—
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⋊C4—1116no—
526C22⋊C4C23×D11116yes—
527C22⋊C4C23×D11116yes—
528C42—1116no—
529C42—1116no—
530C42—1116no—
531C42—1116no—
532C42C23×D11116yes—
533C42C23×D11116yes—
534C11C22×#52911yescharacteristic, complemented, Sylow
535C23—212no—
536C23—212no—
537C23—212no—
538C23—416no—
539C23—1124no—
540C23—114no—
541C23—114no—
542C23—2232no—
543C23—2212no—
544C23—2212no—
545C23—2212no—
546C23—2212no—
547C23—2212no—
548C23—4416no—
549C23C2×#433914yes—
550C23#41×D1114yes—
551C23#41×D1114yes—
552C23C24×D1114yes—
553C23C24×D1113yes—
554Q8—2232no—
555D4—2232no—
556D4—2232no—
557D4—2232no—
558C2×C4—212no—
559C2×C4—212no—
560C2×C4—212no—
561C2×C4—212no—
562C2×C4—212no—
563C2×C4—232no—
564C2×C4—1124no—
565C2×C4—114no—
566C2×C4—114no—
567C2×C4—114no—
568C2×C4—114no—
569C2×C4—114no—
570C2×C4—114no—
571C2×C4—2232no—
572C2×C4—2232no—
573C2×C4—2212no—
574C2×C4—2212no—
575C2×C4—2212no—
576C2×C4—2212no—
577C2×C4—2212no—
578C2×C4—2232no—
579C2×C4—2232no—
580C2×C4C2×#4339124yes—
581C2×C4C24×D1114yes—
582C2×C4C24×D1114yes—
583C2×C4C24×D1114yes—
584C2×C4C24×D1114yes—
585C2×C4C24×D1114yes—
586C2×C4C24×D1114yes—
587C22—24no—
588C22—24no—
589C22—24no—
590C22—424no—
591C22—118no—
592C22—2248no—
593C22—224no—
594C22—224no—
595C22—224no—
596C22—224no—
597C22—224no—
598C22—4424no—
599C22#10623059116yesdirect product factor
600C22C22×#433916yes—
601C22C2×#41×D1116yes—
602C22C2×#41×D1116yes—
603C22C25×D1111yescharacteristic
604C4—24no—
605C4—24no—
606C4—24no—
607C4—24no—
608C4—24no—
609C4—118no—
610C4—224no—
611C4—224no—
612C4—224no—
613C4—224no—
614C4—224no—
615C4C22×#433918yes—
616C2—44no—
617C2—228no—
618C2—444no—
619C2C2×#10623059112yesdirect product factor
620C2C22×#41×D1111yescharacteristic
621C2C22×#41×D1111yescharacteristic
622C2C23×#433911yescharacteristic
subgroupG/H
centerC23×C4C22×D11
commutator, cosocleC22×C11C26
FrattiniC22C25×D11
FittingC22×C11×#117C2
socleC24×C11C24
prime radicalC22×#66937C2
hypercenterC22×#117D11
hypocenterC11C22×#529
LCSG ▷ C22×C11 ▷ C11
UCSC1 ◁ C23×C4 ◁ C22×#117

Complements

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

NH ≅ G/Ntype
1. C2×#10623059C2direct (N × H)
2. C22×#66951C2semidirect
3. C22×#66932C2semidirect
4. C22×#66942C2semidirect
5. C22×#66938C2semidirect
6. C22×#66947C2semidirect
7. C22×#66936C2semidirect
8. C22×#66949C2semidirect
10. C22×C4×Dic22C2semidirect
11. C22×C4×D44C2semidirect
12. C22×C4×C22⋊D11C2semidirect
13. C22×C4×C22⋊D11C2semidirect
14. C22×#66925C2semidirect
15. C22×C42×D11C2semidirect
16. C22×C11×#117C2semidirect
26. C2×C11×#117C22semidirect
35. C2×C4×C22⋊D11C22semidirect
36. C2×C4×C22⋊D11C22semidirect
55. #10623059C22direct (N × H)
56. C2×#66951C22semidirect
57. C2×#66949C22semidirect
58. C2×#66947C22semidirect
59. C2×#66942C22semidirect
60. C2×#66938C22semidirect
62. C2×#66936C22semidirect
63. C2×#66932C22semidirect
64. C2×C4×D44C22semidirect
65. C2×#66925C22semidirect
66. C2×C42×D11C22semidirect
67. C2×C4×Dic22C22semidirect
101. C11×#117C23semidirect
110. C4×C22⋊D11C23semidirect
111. C4×C22⋊D11C23semidirect
130. #66951C23semidirect
131. #66949C23semidirect
132. #66947C23semidirect
133. #66942C23semidirect
134. #66938C23semidirect
136. #66936C23semidirect
137. #66932C23semidirect
138. C4×D44C23semidirect
139. #66925C23semidirect
140. C42×D11C23semidirect
141. C4×Dic22C23semidirect
238. C22×#117D11semidirect
315. C2×#117C2×D11semidirect
347. C22×C11#529semidirect
418. #117C22×D11semidirect
447. C2×C11C2×#529semidirect
534. C11C22×#529semidirect
599. C22#10623059direct (N × H)
619. C2C2×#10623059direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#106230592
C22×#669512
C22×#669322
C22×#669422
C22×#669382
C22×#669472
C22×#669362
C22×#669492
C22×#669372
C22×C4×Dic222
C22×C4×D442
C22×C4×C22⋊D112
C22×#669252
C22×C42×D112
C22×C11×#1172
C22×#52911