Finite Group Databasebeta

← C2×#13072265 #14921846

Subgroups — C2×#13072265 #14921846

Order 2816.

7606 conjugacy classes of subgroups.

The subgroup lattice has 728 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C24×C22⋊D11C211yesmaximal, characteristic
2C22×#66938C212yesmaximal, complemented
3C22×#66931C211yesmaximal, characteristic, complemented
4#13072265C2116yesmaximal, direct product factor
5C2×#10622574C212yesmaximal, complemented
6C2×#10622572C212yesmaximal, complemented
7C2×#10622570C212yesmaximal, complemented
8C2×#10622860C211yesmaximal, characteristic, complemented
9C2×#10622568C211yesmaximal, characteristic, complemented
10C2×#10622568C211yesmaximal, characteristic, complemented
11C2×C22⋊C4×Dic11C211yesmaximal, characteristic, complemented
12C2×C11×#379C211yesmaximal, characteristic, complemented
13C26×C11C2211yescharacteristic
14C25×D11C2211yescharacteristic
15C23×C22⋊D11—216no—
16C23×C22⋊D11—28no—
17C23×C22⋊D11C2218yes—
18C23×C22⋊D11C2212yes—
19C23×C22⋊D11C2212yes—
20C24×Dic11C2211yescharacteristic
21C23×Dic22C2211yescharacteristic, complemented
22C22×C11×C22⋊C4C2211yescharacteristic
23C22×C11×C22⋊C4C2211yescharacteristic
24C22×C11×C22⋊C4C2212yescomplemented
25C22×C11×C22⋊C4C2212yescomplemented
26C22×C22⋊Dic11C2211yescharacteristic
27C22×C22⋊Dic11C2211yescharacteristic
28C22×C22⋊Dic11C2212yescomplemented
29C22×C22⋊Dic11C2212yescomplemented
30C22×(C2×D11)⋊C4C2212yescomplemented
31C22×(C2×D11)⋊C4C2212yescomplemented
32C22×(C2×D11)⋊C4C2212yescomplemented
33C22×(C2×D11)⋊C4C2212yescomplemented
34C22×C4⋊Dic11C2211yescharacteristic, complemented
35C22×Dic11⋊C4C2211yescharacteristic, complemented
36C22×Dic11⋊C4C2211yescharacteristic, complemented
37C22×C4×Dic11C2212yescomplemented
38C2×#66938—216no—
39C2×#66938C22116yescomplemented
40C2×#66931—28no—
41C2×#66931C2218yescomplemented
42C11×#379C2218yescomplemented
43#10622860C2218yescomplemented
44C2×C11⋊#95C2212yescomplemented
45#10622574C22116yescomplemented
46#10622572C22116yescomplemented
47#10622570C22116yescomplemented
48#10622568C2218yescomplemented
49#10622568C2218yescomplemented
50C22⋊C4×Dic11C2218yescomplemented
51C25×C11—28no—
52C25×C11—24no—
53C25×C11—24no—
54C25×C11—24no—
55C25×C11—44no—
56C25×C11C2312yes—
57C25×C11C2314yes—
58C25×C11C2311yescharacteristic
59C24×D11—24no—
60C24×D11—28no—
61C24×D11—24no—
62C24×D11—24no—
63C24×D11—44no—
64C24×D11C2312yes—
65C24×D11C2314yes—
66C23×C4×C11C2312yes—
67C23×C4×C11C2311yescharacteristic
68C23×C4×C11C2311yescharacteristic
69C22×C22⋊D11—2128no—
70C22×C22⋊D11—28no—
71C22×C22⋊D11—28no—
72C22×C22⋊D11—264no—
73C22×C22⋊D11—232no—
74C22×C22⋊D11—28no—
75C22×C22⋊D11—28no—
76C22×C22⋊D11—28no—
77C22×C22⋊D11D4116yes—
78C22×C22⋊D11C2318yes—
79C22×C22⋊D11C2318yes—
80C23×Dic11—28no—
81C23×Dic11D418yes—
82C23×Dic11C2312yes—
83C23×Dic11C2311yescharacteristic
84C23×Dic11C2311yescharacteristic
85C23×Dic11C2314yes—
86C23×Dic11C2311yescharacteristic
87C23×Dic11C2311yescharacteristic
88C22×Dic22—24no—
89C22×Dic22—28no—
90C22×Dic22C2314yescomplemented
91C2×C11×C22⋊C4—24no—
92C2×C11×C22⋊C4—28no—
93C2×C11×C22⋊C4—24no—
94C2×C11×C22⋊C4—44no—
95C2×C11×C22⋊C4C2314yes—
96C2×C11×C22⋊C4C2314yes—
97C2×C11×C22⋊C4C2318yescomplemented
98C2×C11×C22⋊C4C2318yescomplemented
99C2×C22⋊Dic11—24no—
100C2×C22⋊Dic11—28no—
101C2×C22⋊Dic11—24no—
102C2×C22⋊Dic11—44no—
103C2×C22⋊Dic11C2314yes—
104C2×C22⋊Dic11C2314yes—
105C2×C22⋊Dic11C2318yescomplemented
106C2×C22⋊Dic11C2318yescomplemented
107C2×(C2×D11)⋊C4—28no—
108C2×(C2×D11)⋊C4—28no—
109C2×(C2×D11)⋊C4—44no—
110C2×(C2×D11)⋊C4—44no—
111C2×(C2×D11)⋊C4C2318yescomplemented
112C2×(C2×D11)⋊C4C2318yescomplemented
113C2×(C2×D11)⋊C4C2318yescomplemented
114C2×(C2×D11)⋊C4C2318yescomplemented
115C2×C4⋊Dic11—24no—
116C2×C4⋊Dic11C2314yescomplemented
117C2×Dic11⋊C4—24no—
118C2×Dic11⋊C4—24no—
119C2×Dic11⋊C4C2314yescomplemented
120C2×Dic11⋊C4C2314yescomplemented
121C2×C4×Dic11—28no—
122C2×C4×Dic11C2318yescomplemented
123#66938—264no—
124#66931—232no—
125C11⋊#95C2318yescomplemented
126C2×#2435—111nomaximal, Sylow
127C24×C11—24no—
128C24×C11—24no—
129C24×C11—232no—
130C24×C11—216no—
131C24×C11—28no—
132C24×C11—24no—
133C24×C11—24no—
134C24×C11—24no—
135C24×C11—24no—
136C24×C11—24no—
137C24×C11—24no—
138C24×C11—28no—
139C24×C11—28no—
140C24×C11—48no—
141C24×C11—432no—
142C24×C11—432no—
143C24×C11—416no—
144C24×C11—416no—
145C24×C11C2×D418yes—
146C24×C11C2×D414yes—
147C24×C11#4114yes—
148C24×C11#4114yes—
149C24×C11C2414yes—
150C24×C11C2412yes—
151C24×C11C2411yescharacteristic
152C23×D11—232no—
153C23×D11—28no—
154C23×D11—24no—
155C23×D11—24no—
156C23×D11—24no—
157C23×D11—24no—
158C23×D11—24no—
159C23×D11—24no—
160C23×D11—216no—
161C23×D11—28no—
162C23×D11—28no—
163C23×D11—48no—
164C23×D11—432no—
165C23×D11—432no—
166C23×D11—416no—
167C23×D11—416no—
168C23×D11C2×D418yes—
169C23×D11C2414yes—
170C22×C4×C11—24no—
171C22×C4×C11—22no—
172C22×C4×C11—22no—
173C22×C4×C11—24no—
174C22×C4×C11—24no—
175C22×C4×C11—24no—
176C22×C4×C11—24no—
177C22×C4×C11C2414yes—
178C22×C4×C11C2412yes—
179C22×C4×C11C2412yes—
180C2×C22⋊D11—2256no—
181C2×C22⋊D11—264no—
182C2×C22⋊D11—264no—
183C2×C22⋊D11—216no—
184C2×C22⋊D11—216no—
185C2×C22⋊D11—216no—
186C2×C22⋊D11—216no—
187C2×C22⋊D11—216no—
188C2×C22⋊D11C2×D4132yes—
189C22×Dic11—232no—
190C22×Dic11—216no—
191C22×Dic11—24no—
192C22×Dic11—24no—
193C22×Dic11—22no—
194C22×Dic11—22no—
195C22×Dic11—24no—
196C22×Dic11—24no—
197C22×Dic11—24no—
198C22×Dic11—24no—
199C22×Dic11C2×D4116yes—
200C22×Dic11C2×D414yes—
201C22×Dic11C2×D418yes—
202C22×Dic11C2×D414yes—
203C22×Dic11C2414yes—
204C22×Dic11C2412yes—
205C22×Dic11C2412yes—
206C22×Dic11C2412yes—
207C22×Dic11C2412yes—
208C2×Dic22—28no—
209C2×Dic22—216no—
210C2×Dic22—416no—
211C11×C22⋊C4—28no—
212C11×C22⋊C4—216no—
213C11×C22⋊C4—28no—
214C11×C22⋊C4—48no—
215C22⋊Dic11—28no—
216C22⋊Dic11—216no—
217C22⋊Dic11—28no—
218C22⋊Dic11—48no—
219(C2×D11)⋊C4—216no—
220(C2×D11)⋊C4—216no—
221(C2×D11)⋊C4—48no—
222(C2×D11)⋊C4—48no—
223C4⋊Dic11—28no—
224Dic11⋊C4—28no—
225Dic11⋊C4—28no—
226C4×Dic11—216no—
227C24×D4—111no—
228C22×#124—112no—
229C22×C22⋊Q8—111no—
230#2435—1116no—
231C2×#394—112no—
232C2×#394—112no—
233C2×#390—112no—
234C2×#379—111no—
235C2×#379—111no—
236C2×#379—111no—
237C2×#379D1111yescharacteristic, complemented
238C2×C4×C22⋊C4—111no—
239C23×C11—28no—
240C23×C11—28no—
241C23×C11—216no—
242C23×C11—216no—
243C23×C11—24no—
244C23×C11—24no—
245C23×C11—232no—
246C23×C11—216no—
247C23×C11—216no—
248C23×C11—216no—
249C23×C11—24no—
250C23×C11—24no—
251C23×C11—24no—
252C23×C11—24no—
253C23×C11—24no—
254C23×C11—24no—
255C23×C11—432no—
256C23×C11—432no—
257C23×C11—416no—
258C23×C11—4128no—
259C23×C11—48no—
260C23×C11—416no—
261C23×C11—48no—
262C23×C11—48no—
263C23×C11—48no—
264C23×C11#124116yescomplemented
265C23×C11C22×D418yes—
266C23×C11C22×D414yes—
267C23×C11C22×D412yes—
268C23×C11C22×D414yes—
269C23×C11C2×#4114yes—
270C23×C11C2×#4112yes—
271C23×C11C2×#4114yes—
272C23×C11C2×#4112yes—
273C23×C11H(5,𝔽2)14yes—
274C23×C11C2511yescharacteristic
275C22×D11—232no—
276C22×D11—216no—
277C22×D11—216no—
278C22×D11—216no—
279C22×D11—24no—
280C22×D11—24no—
281C22×D11—24no—
282C22×D11—24no—
283C22×D11—24no—
284C22×D11—24no—
285C22×D11—432no—
286C22×D11—432no—
287C22×D11—416no—
288C22×D11—4128no—
289C22×D11—48no—
290C22×D11—416no—
291C22×D11—48no—
292C22×D11—48no—
293C22×D11—48no—
294C22×D11C22×D418yes—
295C2×C4×C11—24no—
296C2×C4×C11—22no—
297C2×C4×C11—22no—
298C2×C4×C11—24no—
299C2×C4×C11—24no—
300C2×C4×C11—24no—
301C2×C4×C11—24no—
302C2×C4×C11—44no—
303C2×C4×C11—44no—
304C2×C4×C11—48no—
305C22⋊D11—264no—
306C22⋊D11—264no—
307C2×Dic11—28no—
308C2×Dic11—24no—
309C2×Dic11—232no—
310C2×Dic11—24no—
311C2×Dic11—22no—
312C2×Dic11—22no—
313C2×Dic11—24no—
314C2×Dic11—24no—
315C2×Dic11—24no—
316C2×Dic11—24no—
317C2×Dic11—44no—
318C2×Dic11—44no—
319C2×Dic11—48no—
320C2×Dic11#120116yes—
321C2×Dic11C22×D414yes—
322C2×Dic11C22×D418yes—
323C2×Dic11C22×D414yes—
324Dic22—416no—
325C26—111no—
326C26C2×D1111yescharacteristic
327C23×Q8—111no—
328C23×D4—112no—
329C23×D4—112no—
330C23×D4—118no—
331C23×D4—228no—
332C23×D4—2216no—
333C24×C4—111no—
334C2×#124—1116no—
335C2×#124—2216no—
336C2×C22⋊Q8—118no—
337C2×C22⋊Q8—228no—
338C22×C4⋊C4—111no—
339C22×C4⋊C4—111no—
340C22×C4⋊C4—111no—
341C22×C22⋊C4—112no—
342C22×C22⋊C4—111no—
343C22×C22⋊C4—111no—
344C22×C22⋊C4—112no—
345C22×C22⋊C4—112no—
346C22×C22⋊C4—112no—
347C22×C22⋊C4—112no—
348C22×C22⋊C4—112no—
349C22×C22⋊C4C2×D1111yescharacteristic
350C22×C22⋊C4C2×D1111yescharacteristic
351C22×C22⋊C4C2×D1112yescomplemented
352C22×C22⋊C4C2×D1112yescomplemented
353C22×C42—112no—
354#394—1116no—
355#394—1116no—
356#390—1116no—
357#379—118no—
358#379—118no—
359#379—118no—
360#379C2×D1118yescomplemented
361C4×C22⋊C4—118no—
362C2×#95—112no—
363C22×C11—24no—
364C22×C11—24no—
365C22×C11—232no—
366C22×C11—28no—
367C22×C11—28no—
368C22×C11—28no—
369C22×C11—28no—
370C22×C11—28no—
371C22×C11—464no—
372C22×C11—44no—
373C22×C11—44no—
374C22×C11—432no—
375C22×C11—44no—
376C22×C11—44no—
377C22×C11C2×#12014yes—
378C22×C11C2×#12414yes—
379C22×C11C2×#12418yescomplemented
380C22×C11#53514yes—
381C22×C11#54618yes—
382C22×C11#54618yes—
383C22×C11C23×D411yescharacteristic
384C22×C11C23×D412yes—
385C22×C11C22×#4111yescharacteristic
386C22×C11C22×#4111yescharacteristic
387C22×C11C2×H(5,𝔽2)12yes—
388C2×D11—28no—
389C2×D11—28no—
390C2×D11—28no—
391C2×D11—464no—
392C2×D11—44no—
393C2×D11—44no—
394C2×D11—432no—
395C2×D11—44no—
396C2×D11—44no—
397C4×C11—42no—
398C4×C11—42no—
399C4×C11—44no—
400Dic11—24no—
401Dic11—42no—
402Dic11—42no—
403Dic11—44no—
404Dic11C2×#12018yes—
405C25—28no—
406C25—24no—
407C25—24no—
408C25—24no—
409C25—44no—
410C25—112no—
411C25—114no—
412C25—228no—
413C25—224no—
414C25—224no—
415C25—224no—
416C25—444no—
417C25C22×D1112yes—
418C25C22×D1114yes—
419C25C22×D1111yescharacteristic
420C22×Q8—114no—
421C22×Q8—224no—
422C22×Q8—228no—
423C22×D4—1116no—
424C22×D4—118no—
425C22×D4—118no—
426C22×D4—228no—
427C22×D4—228no—
428C22×D4—228no—
429C22×D4—2232no—
430C22×D4—2264no—
431C22×D4—228no—
432C22×D4—22128no—
433C22×D4—228no—
434C23×C4—111no—
435C23×C4—118no—
436C23×C4—114no—
437C23×C4—111no—
438C23×C4—111no—
439C23×C4—111no—
440C23×C4—112no—
441C23×C4—228no—
442C23×C4C22×D1111yescharacteristic
443C23×C4C22×D1111yescharacteristic
444C23×C4C22×D1112yes—
445#124—2264no—
446C22⋊Q8—2232no—
447C2×C4⋊C4—114no—
448C2×C4⋊C4—114no—
449C2×C4⋊C4—114no—
450C2×C4⋊C4—224no—
451C2×C4⋊C4—224no—
452C2×C4⋊C4—224no—
453C2×C22⋊C4—24no—
454C2×C22⋊C4—28no—
455C2×C22⋊C4—24no—
456C2×C22⋊C4—44no—
457C2×C22⋊C4—114no—
458C2×C22⋊C4—118no—
459C2×C22⋊C4—114no—
460C2×C22⋊C4—118no—
461C2×C22⋊C4—118no—
462C2×C22⋊C4—118no—
463C2×C22⋊C4—118no—
464C2×C22⋊C4—118no—
465C2×C22⋊C4—228no—
466C2×C22⋊C4—228no—
467C2×C22⋊C4—224no—
468C2×C22⋊C4—224no—
469C2×C22⋊C4—228no—
470C2×C22⋊C4—444no—
471C2×C22⋊C4—444no—
472C2×C22⋊C4—444no—
473C2×C22⋊C4C22×D1114yes—
474C2×C22⋊C4C22×D1114yes—
475C2×C22⋊C4C22×D1118yescomplemented
476C2×C22⋊C4C22×D1118yescomplemented
477C2×C42—118no—
478C2×C42—228no—
479#95—118no—
480C2×C11—28no—
481C2×C11—48no—
482C2×C11#243518yescomplemented
483C2×C11C22×#12011yescharacteristic
484C2×C11C22×#12411yescharacteristic
485C2×C11C2×#53511yescharacteristic
486C2×C11C2×#54612yes—
487C2×C11C2×#54612yes—
488D11—48no—
489C24—24no—
490C24—24no—
491C24—232no—
492C24—24no—
493C24—216no—
494C24—28no—
495C24—24no—
496C24—24no—
497C24—24no—
498C24—24no—
499C24—24no—
500C24—28no—
501C24—28no—
502C24—48no—
503C24—432no—
504C24—432no—
505C24—416no—
506C24—416no—
507C24—118no—
508C24—114no—
509C24—2216no—
510C24—2232no—
511C24—224no—
512C24—228no—
513C24—224no—
514C24—224no—
515C24—224no—
516C24—224no—
517C24—224no—
518C24—228no—
519C24—228no—
520C24—448no—
521C24—4432no—
522C24—4432no—
523C24—4416no—
524C24—4416no—
525C24#433914yes—
526C24D4×D1118yes—
527C24D4×D1114yes—
528C24#434114yes—
529C24C23×D1114yes—
530C24C23×D1112yes—
531C24C23×D1111yescharacteristic
532C2×Q8—228no—
533C2×Q8—2216no—
534C2×Q8—4416no—
535C2×D4—1132no—
536C2×D4—2264no—
537C2×D4—2216no—
538C2×D4—2216no—
539C2×D4—2216no—
540C2×D4—2216no—
541C2×D4—22256no—
542C2×D4—2264no—
543C2×D4—2216no—
544C22×C4—24no—
545C22×C4—24no—
546C22×C4—22no—
547C22×C4—22no—
548C22×C4—24no—
549C22×C4—24no—
550C22×C4—24no—
551C22×C4—118no—
552C22×C4—114no—
553C22×C4—112no—
554C22×C4—114no—
555C22×C4—1116no—
556C22×C4—112no—
557C22×C4—114no—
558C22×C4—112no—
559C22×C4—112no—
560C22×C4—2232no—
561C22×C4—2216no—
562C22×C4—224no—
563C22×C4—224no—
564C22×C4—224no—
565C22×C4—224no—
566C22×C4—222no—
567C22×C4—222no—
568C22×C4—224no—
569C22×C4—224no—
570C22×C4C23×D1114yes—
571C22×C4C23×D1112yes—
572C22×C4C23×D1112yes—
573C4⋊C4—228no—
574C4⋊C4—228no—
575C4⋊C4—228no—
576C22⋊C4—28no—
577C22⋊C4—216no—
578C22⋊C4—28no—
579C22⋊C4—48no—
580C22⋊C4—2216no—
581C22⋊C4—2216no—
582C22⋊C4—228no—
583C22⋊C4—228no—
584C22⋊C4—2216no—
585C22⋊C4—448no—
586C22⋊C4—448no—
587C22⋊C4—448no—
588C42—2216no—
589C11C2×#243511yescharacteristic, complemented, Sylow
590C23—216no—
591C23—28no—
592C23—216no—
593C23—28no—
594C23—24no—
595C23—24no—
596C23—232no—
597C23—216no—
598C23—216no—
599C23—216no—
600C23—24no—
601C23—24no—
602C23—24no—
603C23—24no—
604C23—24no—
605C23—24no—
606C23—432no—
607C23—432no—
608C23—416no—
609C23—4128no—
610C23—48no—
611C23—48no—
612C23—416no—
613C23—48no—
614C23—48no—
615C23—118no—
616C23—2232no—
617C23—2216no—
618C23—2216no—
619C23—2216no—
620C23—224no—
621C23—224no—
622C23—224no—
623C23—224no—
624C23—224no—
625C23—224no—
626C23—4432no—
627C23—4432no—
628C23—4416no—
629C23—44128no—
630C23—448no—
631C23—448no—
632C23—4416no—
633C23—448no—
634C23—448no—
635C23#66938116yescomplemented
636C23C2×#433914yes—
637C23C2×#433912yes—
638C23C2×D4×D1118yes—
639C23C2×D4×D1114yes—
640C23C2×D4×D1114yes—
641C23C2×D4×D1112yes—
642C23C2×#434114yes—
643C23C2×#434112yes—
644C23#6703714yes—
645C23C24×D1111yescharacteristic
646Q8—4416no—
647D4—2264no—
648D4—2264no—
649C2×C4—24no—
650C2×C4—24no—
651C2×C4—22no—
652C2×C4—22no—
653C2×C4—24no—
654C2×C4—24no—
655C2×C4—24no—
656C2×C4—44no—
657C2×C4—48no—
658C2×C4—44no—
659C2×C4—1116no—
660C2×C4—118no—
661C2×C4—114no—
662C2×C4—114no—
663C2×C4—2232no—
664C2×C4—228no—
665C2×C4—224no—
666C2×C4—224no—
667C2×C4—224no—
668C2×C4—224no—
669C2×C4—222no—
670C2×C4—222no—
671C2×C4—224no—
672C2×C4—224no—
673C2×C4—448no—
674C2×C4—444no—
675C2×C4—444no—
676C22—24no—
677C22—232no—
678C22—28no—
679C22—28no—
680C22—24no—
681C22—28no—
682C22—28no—
683C22—28no—
684C22—464no—
685C22—44no—
686C22—44no—
687C22—432no—
688C22—44no—
689C22—44no—
690C22—228no—
691C22—228no—
692C22—228no—
693C22—4464no—
694C22—444no—
695C22—444no—
696C22—4432no—
697C22—444no—
698C22—444no—
699C22#1062302118yes—
700C22C2×#6693814yes—
701C22C2×#6693818yescomplemented
702C22D11×#12014yes—
703C22#1062312218yes—
704C22#1062312314yes—
705C22C22×#433911yescharacteristic
706C22C22×D4×D1111yescharacteristic
707C22C22×D4×D1112yes—
708C22C22×#434111yescharacteristic
709C22C2×#6703712yes—
710C4—42no—
711C4—44no—
712C4—42no—
713C4—118no—
714C4—224no—
715C4—442no—
716C4—444no—
717C4—442no—
718C2—28no—
719C2—48no—
720C2—448no—
721C2#1307226518yesdirect product factor
722C2C2×D11×#12011yescharacteristic
723C2C22×#6693811yescharacteristic
724C2C2×#1062312311yescharacteristic
725C2C2×#1062312212yes—
726C2C2×#1062302112yes—
subgroupG/H
centerC24C23×D11
commutator, cosocleC23×C11C25
FrattiniC23C24×D11
FittingC2×C11×#379C2
socleC24×C11C24
prime radicalC24×C22⋊D11C2
hypercenterC2×#379D11
hypocenterC11C2×#2435
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C24 ◁ C2×#379

Complements

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

NH ≅ G/Ntype
2. C22×#66938C2semidirect
3. C22×#66931C2semidirect
4. #13072265C2direct (N × H)
5. C2×#10622574C2semidirect
6. C2×#10622572C2semidirect
7. C2×#10622570C2semidirect
8. C2×#10622860C2semidirect
9. C2×#10622568C2semidirect
10. C2×#10622568C2semidirect
11. C2×C22⋊C4×Dic11C2semidirect
12. C2×C11×#379C2semidirect
21. C23×Dic22C22semidirect
24. C22×C11×C22⋊C4C22semidirect
25. C22×C11×C22⋊C4C22semidirect
28. C22×C22⋊Dic11C22semidirect
29. C22×C22⋊Dic11C22semidirect
30. C22×(C2×D11)⋊C4C22semidirect
31. C22×(C2×D11)⋊C4C22semidirect
32. C22×(C2×D11)⋊C4C22semidirect
33. C22×(C2×D11)⋊C4C22semidirect
34. C22×C4⋊Dic11C22semidirect
35. C22×Dic11⋊C4C22semidirect
36. C22×Dic11⋊C4C22semidirect
37. C22×C4×Dic11C22semidirect
39. C2×#66938C22semidirect
41. C2×#66931C22semidirect
42. C11×#379C22semidirect
43. #10622860C22semidirect
44. C2×C11⋊#95C22semidirect
45. #10622574C22semidirect
46. #10622572C22semidirect
47. #10622570C22semidirect
48. #10622568C22semidirect
49. #10622568C22semidirect
50. C22⋊C4×Dic11C22semidirect
90. C22×Dic22C23semidirect
97. C2×C11×C22⋊C4C23semidirect
98. C2×C11×C22⋊C4C23semidirect
105. C2×C22⋊Dic11C23semidirect
106. C2×C22⋊Dic11C23semidirect
111. C2×(C2×D11)⋊C4C23semidirect
112. C2×(C2×D11)⋊C4C23semidirect
113. C2×(C2×D11)⋊C4C23semidirect
114. C2×(C2×D11)⋊C4C23semidirect
116. C2×C4⋊Dic11C23semidirect
119. C2×Dic11⋊C4C23semidirect
120. C2×Dic11⋊C4C23semidirect
122. C2×C4×Dic11C23semidirect
125. C11⋊#95C23semidirect
237. C2×#379D11semidirect
264. C23×C11#124semidirect
351. C22×C22⋊C4C2×D11semidirect
352. C22×C22⋊C4C2×D11semidirect
360. #379C2×D11semidirect
379. C22×C11C2×#124semidirect
475. C2×C22⋊C4C22×D11semidirect
476. C2×C22⋊C4C22×D11semidirect
482. C2×C11#2435semidirect
589. C11C2×#2435semidirect
635. C23#66938semidirect
701. C22C2×#66938semidirect
721. C2#13072265direct (N × H)

Maximal subgroups

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

subgroupindex
C24×C22⋊D112
C22×#669382
C22×#669312
#130722652
C2×#106225742
C2×#106225722
C2×#106225702
C2×#106228602
C2×#106225682
C2×C22⋊C4×Dic112
C2×C11×#3792
C2×#243511