Finite Group Databasebeta

← C2×#13072028 #14922094

Subgroups — C2×#13072028 #14922094

Order 2816.

4174 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
1C22×#66948C211yesmaximal, characteristic, complemented
2C22×#66983C211yesmaximal, characteristic, complemented
3C22×C4×C22⋊D11C211yesmaximal, characteristic, complemented
4#13072028C2116yesmaximal, direct product factor
5C2×#10622574C212yesmaximal, complemented
6C2×#10622573C212yesmaximal, complemented
7C2×#10622552C212yesmaximal, complemented
8C2×#10622601C211yesmaximal, characteristic, complemented
9C2×#10622598C211yesmaximal, characteristic, complemented
10C2×#10622553C212yesmaximal, complemented
11C2×#10622600C211yesmaximal, characteristic, complemented
12C22×C11×#117C211yesmaximal, characteristic, complemented
13C24×C4×C11C2211yescharacteristic
14C23×C22⋊D11C2211yescharacteristic
15C23×C22⋊D11C2212yes—
16C23×D44C2211yescharacteristic
17C23×D44C2212yes—
18C23×C4×D11C2211yescharacteristic
19C2×C11×#117—28no—
20C2×C11×#117C2218yescomplemented
21C22×C11×C4⋊C4C2211yescharacteristic
22C22×C11×C4⋊C4C2211yescharacteristic
23C22×C11×C22⋊C4C2212yes—
24C22×C42×C11C2212yes—
25C22×C22⋊Dic11C2211yescharacteristic
26C2×#66983—28no—
27C2×#66983C2218yescomplemented
28C2×C4×C22⋊D11—28no—
29C2×C4×C22⋊D11C2218yescomplemented
30C22×(C2×D11)⋊C4C2211yescharacteristic
31C22×(C2×D11)⋊C4C2212yes—
32C22×(C2×D11)⋊C4C2212yes—
33C22×(C2×D11)⋊C4C2212yes—
34C22×(C2×D11)⋊C4C2212yes—
35C22×(C2×D11)⋊C4C2212yes—
36C22×C4⋊Dic11C2211yescharacteristic
37C22×C4⋊Dic11C2212yes—
38C22×Dic11⋊C4C2211yescharacteristic
39C22×C4×Dic11C2211yescharacteristic
40C2×#66948—28no—
41C2×#66948C2218yescomplemented
42C2×C11⋊#95C2212yes—
43C2×C11⋊#95C2212yes—
44#10622601C2218yescomplemented
45#10622600C2218yescomplemented
46#10622598C2218yescomplemented
47#10622574C22116yescomplemented
48#10622573C22116yescomplemented
49#10622553C22116yescomplemented
50#10622552C22116yescomplemented
51C25×C11C2311yescharacteristic
52C24×D11C2312yes—
53C24×D11C2311yescharacteristic
54C23×C4×C11—24no—
55C23×C4×C11—24no—
56C23×C4×C11D418yescomplemented
57C23×C4×C11C2312yes—
58C23×C4×C11C2311yescharacteristic
59C23×C4×C11C2312yes—
60C23×C4×C11C2314yes—
61C23×C4×C11C2311yescharacteristic
62C22×C22⋊D11—24no—
63C22×C22⋊D11—24no—
64C22×C22⋊D11—28no—
65C22×C22⋊D11—24no—
66C22×C22⋊D11—44no—
67C22×C22⋊D11—44no—
68C22×C22⋊D11C2314yes—
69C22×C22⋊D11C2318yes—
70C23×Dic11C2311yescharacteristic
71C23×Dic11C2311yescharacteristic
72C23×Dic11C2312yes—
73C23×Dic11C2311yescharacteristic
74C22×D44—28no—
75C22×D44—28no—
76C22×D44—24no—
77C22×D44—24no—
78C22×D44—24no—
79C22×D44—44no—
80C22×D44C2314yes—
81C22×D44C2318yes—
82C22×C4×D11—24no—
83C22×C4×D11—24no—
84C22×C4×D11—24no—
85C22×C4×D11C2314yes—
86C11×#117—232no—
87C2×C11×C4⋊C4—24no—
88C2×C11×C4⋊C4D418yescomplemented
89C2×C11×C4⋊C4C2314yes—
90C2×C11×C4⋊C4C2314yes—
91C2×C11×C22⋊C4—28no—
92C2×C11×C22⋊C4C2318yes—
93C2×C42×C11—28no—
94C2×C42×C11C2318yes—
95C2×C22⋊Dic11—24no—
96C2×C22⋊Dic11C2314yes—
97#66983—232no—
98C4×C22⋊D11—232no—
99C2×(C2×D11)⋊C4—28no—
100C2×(C2×D11)⋊C4—24no—
101C2×(C2×D11)⋊C4—28no—
102C2×(C2×D11)⋊C4—28no—
103C2×(C2×D11)⋊C4—44no—
104C2×(C2×D11)⋊C4—44no—
105C2×(C2×D11)⋊C4C2318yes—
106C2×(C2×D11)⋊C4C2314yes—
107C2×(C2×D11)⋊C4C2318yes—
108C2×(C2×D11)⋊C4C2318yes—
109C2×(C2×D11)⋊C4C2318yes—
110C2×(C2×D11)⋊C4C2318yes—
111C2×C4⋊Dic11—24no—
112C2×C4⋊Dic11—44no—
113C2×C4⋊Dic11C2314yes—
114C2×C4⋊Dic11C2318yes—
115C2×Dic11⋊C4—24no—
116C2×Dic11⋊C4C2314yes—
117C2×C4×Dic11—24no—
118C2×C4×Dic11C2314yes—
119#66948—232no—
120C11⋊#95C2318yes—
121C11⋊#95C2318yes—
122C2×#2414—111nomaximal, Sylow
123C24×C11—22no—
124C24×C11—22no—
125C24×C11—22no—
126C24×C11—22no—
127C24×C11—22no—
128C24×C11—22no—
129C24×C11C2×D414yes—
130C24×C11C2412yes—
131C24×C11C2411yescharacteristic
132C23×D11—22no—
133C23×D11—22no—
134C23×D11—22no—
135C23×D11—22no—
136C23×D11—22no—
137C23×D11—22no—
138C23×D11—24no—
139C23×D11—24no—
140C23×D11—24no—
141C23×D11—24no—
142C23×D11—24no—
143C23×D11—24no—
144C23×D11—24no—
145C23×D11#4114yes—
146C23×D11C2414yes—
147C23×D11C2412yes—
148C22×C4×C11—22no—
149C22×C4×C11—24no—
150C22×C4×C11—22no—
151C22×C4×C11—24no—
152C22×C4×C11—232no—
153C22×C4×C11—28no—
154C22×C4×C11—28no—
155C22×C4×C11—24no—
156C22×C4×C11—24no—
157C22×C4×C11—24no—
158C22×C4×C11C2×D414yes—
159C22×C4×C11C2×D418yes—
160C22×C4×C11C2×D414yes—
161C22×C4×C11C2×D414yes—
162C22×C4×C11C2×D4116yescomplemented
163C22×C4×C11#4114yes—
164C22×C4×C11C2414yes—
165C22×C4×C11C2414yes—
166C22×C4×C11C2412yes—
167C22×C4×C11C2412yes—
168C2×C22⋊D11—232no—
169C2×C22⋊D11—28no—
170C2×C22⋊D11—28no—
171C2×C22⋊D11—216no—
172C2×C22⋊D11—28no—
173C2×C22⋊D11—48no—
174C2×C22⋊D11—48no—
175C2×C22⋊D11—432no—
176C22×Dic11—22no—
177C22×Dic11—22no—
178C22×Dic11—22no—
179C22×Dic11—24no—
180C22×Dic11—22no—
181C22×Dic11—22no—
182C22×Dic11—22no—
183C22×Dic11—22no—
184C22×Dic11—24no—
185C22×Dic11—22no—
186C22×Dic11—24no—
187C22×Dic11#4114yes—
188C22×Dic11C2412yes—
189C22×Dic11C2414yes—
190C22×Dic11C2412yes—
191C22×Dic11C2412yes—
192C2×D44—216no—
193C2×D44—216no—
194C2×D44—28no—
195C2×D44—28no—
196C2×D44—28no—
197C2×D44—48no—
198C2×D44—432no—
199C2×D44—416no—
200C2×C4×D11—28no—
201C2×C4×D11—28no—
202C2×C4×D11—28no—
203C2×C4×D11—416no—
204C11×C4⋊C4—28no—
205C11×C4⋊C4C2×D4116yescomplemented
206C11×C22⋊C4—216no—
207C42×C11—216no—
208C22⋊Dic11—28no—
209(C2×D11)⋊C4—216no—
210(C2×D11)⋊C4—216no—
211(C2×D11)⋊C4—28no—
212(C2×D11)⋊C4—216no—
213(C2×D11)⋊C4—48no—
214(C2×D11)⋊C4—48no—
215C4⋊Dic11—28no—
216C4⋊Dic11—48no—
217Dic11⋊C4—28no—
218C4×Dic11—28no—
219C22×#121—111no—
220C22×#121—111no—
221C22×C4×D4—111no—
222C22×#117D1111yescharacteristic, complemented
223#2414—1116no—
224C2×#394—112no—
225C2×#392—112no—
226C2×#390—112no—
227C2×#390—111no—
228C2×#389—111no—
229C2×#388—112no—
230C2×#380—111no—
231C23×C11—28no—
232C23×C11—28no—
233C23×C11—28no—
234C23×C11—22no—
235C23×C11—22no—
236C23×C11—22no—
237C23×C11—22no—
238C23×C11—22no—
239C23×C11—22no—
240C23×C11—44no—
241C23×C11—44no—
242C23×C11—44no—
243C23×C11—44no—
244C23×C11C22×D414yes—
245C23×C11C22×D412yes—
246C23×C11C22×D412yes—
247C23×C11C2×#4112yes—
248C23×C11C2×#4112yes—
249C23×C11C2×#4112yes—
250C23×C11H(5,𝔽2)12yes—
251C23×C11H(5,𝔽2)12yes—
252C23×C11C2511yescharacteristic
253C22×D11—28no—
254C22×D11—28no—
255C22×D11—28no—
256C22×D11—22no—
257C22×D11—22no—
258C22×D11—22no—
259C22×D11—22no—
260C22×D11—22no—
261C22×D11—22no—
262C22×D11—24no—
263C22×D11—24no—
264C22×D11—24no—
265C22×D11—24no—
266C22×D11—24no—
267C22×D11—24no—
268C22×D11—24no—
269C22×D11—44no—
270C22×D11—44no—
271C22×D11—44no—
272C22×D11—44no—
273C22×D11—48no—
274C22×D11—48no—
275C22×D11—48no—
276C22×D11—48no—
277C22×D11—48no—
278C22×D11—48no—
279C22×D11—48no—
280C22×D11C2×#4114yes—
281C2×C4×C11—28no—
282C2×C4×C11—216no—
283C2×C4×C11—22no—
284C2×C4×C11—24no—
285C2×C4×C11—22no—
286C2×C4×C11—24no—
287C2×C4×C11—232no—
288C2×C4×C11—24no—
289C2×C4×C11—24no—
290C2×C4×C11—24no—
291C2×C4×C11—48no—
292C2×C4×C11#121116yes—
293C2×C4×C11C22×D414yes—
294C2×C4×C11C22×D414yes—
295C2×C4×C11C22×D418yes—
296C2×C4×C11C22×D414yes—
297C2×C4×C11C2×#4114yes—
298C22⋊D11—232no—
299C22⋊D11—432no—
300C2×Dic11—28no—
301C2×Dic11—22no—
302C2×Dic11—22no—
303C2×Dic11—22no—
304C2×Dic11—22no—
305C2×Dic11—24no—
306C2×Dic11—22no—
307C2×Dic11—22no—
308C2×Dic11—22no—
309C2×Dic11—24no—
310C2×Dic11—22no—
311C2×Dic11—24no—
312C2×Dic11—44no—
313C2×Dic11—44no—
314C2×Dic11—48no—
315C2×Dic11C2×#4114yes—
316D44—432no—
317D44—416no—
318C4×D11—416no—
319C23×D4—111no—
320C23×D4—112no—
321C23×D4—111no—
322C23×D4—112no—
323C24×C4—111no—
324C24×C4C2×D1111yescharacteristic
325C2×#121—118no—
326C2×#121—118no—
327C2×#121—228no—
328C2×#121—228no—
329C2×C4×D4—118no—
330C2×C4×D4—228no—
331C2×#117—28no—
332C2×#117C2×D1118yescomplemented
333C22×C4⋊C4—111no—
334C22×C4⋊C4—111no—
335C22×C4⋊C4—112no—
336C22×C4⋊C4C2×D1111yescharacteristic
337C22×C4⋊C4C2×D1111yescharacteristic
338C22×C22⋊C4—111no—
339C22×C22⋊C4—112no—
340C22×C22⋊C4—112no—
341C22×C22⋊C4—111no—
342C22×C22⋊C4—112no—
343C22×C22⋊C4—112no—
344C22×C22⋊C4—112no—
345C22×C22⋊C4C2×D1112yes—
346C22×C42—111no—
347C22×C42C2×D1112yes—
348#394—1116no—
349#392—1116no—
350#390—118no—
351#390—1116no—
352#389—118no—
353#388—1116no—
354#380—118no—
355C2×#95—112no—
356C2×#95—112no—
357C22×C11—24no—
358C22×C11—24no—
359C22×C11—24no—
360C22×C11—416no—
361C22×C11—42no—
362C22×C11—42no—
363C22×C11—42no—
364C22×C11—42no—
365C22×C11C2×#12114yes—
366C22×C11#52514yes—
367C22×C11#53514yes—
368C22×C11#54614yes—
369C22×C11#55014yes—
370C22×C11#55314yes—
371C22×C11#55514yes—
372C22×C11C23×D411yescharacteristic
373C22×C11C23×D411yescharacteristic
374C22×C11C22×#4111yescharacteristic
375C22×C11C22×#4111yescharacteristic
376C22×C11C22×#4111yescharacteristic
377C22×C11C2×H(5,𝔽2)11yescharacteristic
378C22×C11C2×H(5,𝔽2)11yescharacteristic
379C2×D11—24no—
380C2×D11—24no—
381C2×D11—24no—
382C2×D11—42no—
383C2×D11—416no—
384C2×D11—42no—
385C2×D11—42no—
386C2×D11—42no—
387C2×D11—44no—
388C2×D11—44no—
389C2×D11—44no—
390C2×D11—44no—
391C2×D11—44no—
392C2×D11—44no—
393C2×D11—44no—
394C2×D11—816no—
395C4×C11—24no—
396C4×C11—28no—
397C4×C11—44no—
398C4×C11C2×#12118yes—
399Dic11—24no—
400Dic11—42no—
401Dic11—42no—
402Dic11—44no—
403C25—111no—
404C25—112no—
405C25C22×D1111yescharacteristic
406C22×D4—114no—
407C22×D4—118no—
408C22×D4—114no—
409C22×D4—118no—
410C22×D4—228no—
411C22×D4—224no—
412C22×D4—224no—
413C22×D4—224no—
414C22×D4—228no—
415C22×D4—224no—
416C22×D4—224no—
417C22×D4—228no—
418C22×D4—224no—
419C22×D4—444no—
420C22×D4—444no—
421C22×D4—444no—
422C23×C4—24no—
423C23×C4—24no—
424C23×C4—111no—
425C23×C4—111no—
426C23×C4—111no—
427C23×C4—112no—
428C23×C4—114no—
429C23×C4—224no—
430C23×C4—224no—
431C23×C4—224no—
432C23×C4D4418yescomplemented
433C23×C4C22×D1112yes—
434C23×C4C22×D1111yescharacteristic
435C23×C4C22×D1114yes—
436C23×C4C22×D1112yes—
437C23×C4C22×D1111yescharacteristic
438#121—2232no—
439#121—2232no—
440C4×D4—2232no—
441#117—232no—
442C2×C4⋊C4—24no—
443C2×C4⋊C4—114no—
444C2×C4⋊C4—114no—
445C2×C4⋊C4—118no—
446C2×C4⋊C4—224no—
447C2×C4⋊C4—224no—
448C2×C4⋊C4—444no—
449C2×C4⋊C4C22⋊D1118yescomplemented
450C2×C4⋊C4C22×D1114yes—
451C2×C4⋊C4C22×D1114yes—
452C2×C22⋊C4—28no—
453C2×C22⋊C4—114no—
454C2×C22⋊C4—114no—
455C2×C22⋊C4—118no—
456C2×C22⋊C4—118no—
457C2×C22⋊C4—118no—
458C2×C22⋊C4—118no—
459C2×C22⋊C4—118no—
460C2×C22⋊C4—228no—
461C2×C22⋊C4—224no—
462C2×C22⋊C4—224no—
463C2×C22⋊C4—228no—
464C2×C22⋊C4—228no—
465C2×C22⋊C4—444no—
466C2×C22⋊C4—444no—
467C2×C22⋊C4C22×D1118yes—
468C2×C42—28no—
469C2×C42—114no—
470C2×C42—224no—
471C2×C42C22×D1118yes—
472#95—118no—
473#95—118no—
474C2×C11—44no—
475C2×C11#241418yescomplemented
476C2×C11C22×#12111yescharacteristic
477C2×C11C2×#52511yescharacteristic
478C2×C11C2×#53511yescharacteristic
479C2×C11C2×#54611yescharacteristic
480C2×C11C2×#55011yescharacteristic
481C2×C11C2×#55311yescharacteristic
482C2×C11C2×#55511yescharacteristic
483D11—44no—
484D11—84no—
485C24—22no—
486C24—22no—
487C24—22no—
488C24—22no—
489C24—22no—
490C24—22no—
491C24—114no—
492C24—112no—
493C24—114no—
494C24—222no—
495C24—222no—
496C24—222no—
497C24—222no—
498C24—222no—
499C24—222no—
500C24—224no—
501C24—224no—
502C24—224no—
503C24—224no—
504C24—224no—
505C24—224no—
506C24—224no—
507C24C2×D4414yes—
508C24C23×D1112yes—
509C24C23×D1111yescharacteristic
510C2×D4—2216no—
511C2×D4—228no—
512C2×D4—228no—
513C2×D4—2232no—
514C2×D4—228no—
515C2×D4—2216no—
516C2×D4—228no—
517C2×D4—228no—
518C2×D4—2216no—
519C2×D4—228no—
520C2×D4—448no—
521C2×D4—4432no—
522C2×D4—448no—
523C2×D4—448no—
524C2×D4—4432no—
525C2×D4—4416no—
526C22×C4—22no—
527C22×C4—24no—
528C22×C4—24no—
529C22×C4—22no—
530C22×C4—232no—
531C22×C4—28no—
532C22×C4—28no—
533C22×C4—24no—
534C22×C4—24no—
535C22×C4—24no—
536C22×C4—114no—
537C22×C4—112no—
538C22×C4—112no—
539C22×C4—114no—
540C22×C4—112no—
541C22×C4—222no—
542C22×C4—222no—
543C22×C4—222no—
544C22×C4—222no—
545C22×C4—224no—
546C22×C4—222no—
547C22×C4—222no—
548C22×C4—224no—
549C22×C4—222no—
550C22×C4—224no—
551C22×C4—222no—
552C22×C4—228no—
553C22×C4—228no—
554C22×C4—228no—
555C22×C4—4416no—
556C22×C4C2×D4414yes—
557C22×C4C2×D4414yes—
558C22×C4C2×D44116yescomplemented
559C22×C4#433914yes—
560C22×C4C2×C22⋊D1118yes—
561C22×C4C2×C22⋊D1114yes—
562C22×C4C23×D1114yes—
563C22×C4C23×D1112yes—
564C22×C4C23×D1114yes—
565C22×C4C23×D1112yes—
566C4⋊C4—28no—
567C4⋊C4—228no—
568C4⋊C4—228no—
569C4⋊C4—448no—
570C4⋊C4C2×C22⋊D11116yescomplemented
571C22⋊C4—216no—
572C22⋊C4—2216no—
573C22⋊C4—228no—
574C22⋊C4—228no—
575C22⋊C4—2216no—
576C22⋊C4—2216no—
577C22⋊C4—448no—
578C22⋊C4—448no—
579C42—216no—
580C42—228no—
581C11C2×#241411yescharacteristic, complemented, Sylow
582C23—28no—
583C23—28no—
584C23—28no—
585C23—22no—
586C23—22no—
587C23—22no—
588C23—22no—
589C23—22no—
590C23—22no—
591C23—44no—
592C23—44no—
593C23—44no—
594C23—44no—
595C23—114no—
596C23—228no—
597C23—228no—
598C23—228no—
599C23—222no—
600C23—222no—
601C23—222no—
602C23—222no—
603C23—222no—
604C23—222no—
605C23—224no—
606C23—224no—
607C23—224no—
608C23—224no—
609C23—224no—
610C23—224no—
611C23—224no—
612C23—444no—
613C23—444no—
614C23—444no—
615C23—444no—
616C23—448no—
617C23—448no—
618C23—448no—
619C23—448no—
620C23—448no—
621C23—448no—
622C23—448no—
623C23C22×D4414yes—
624C23C22×D4412yes—
625C23C2×#433912yes—
626C23#41×D1112yes—
627C23#41×D1112yes—
628C23#6704212yes—
629C23#6704212yes—
630C23C22×C22⋊D1112yes—
631C23C24×D1111yescharacteristic
632D4—2232no—
633D4—4432no—
634D4—4432no—
635D4—4416no—
636C2×C4—28no—
637C2×C4—216no—
638C2×C4—22no—
639C2×C4—24no—
640C2×C4—24no—
641C2×C4—22no—
642C2×C4—232no—
643C2×C4—24no—
644C2×C4—24no—
645C2×C4—24no—
646C2×C4—48no—
647C2×C4—114no—
648C2×C4—228no—
649C2×C4—222no—
650C2×C4—222no—
651C2×C4—222no—
652C2×C4—222no—
653C2×C4—224no—
654C2×C4—222no—
655C2×C4—222no—
656C2×C4—224no—
657C2×C4—222no—
658C2×C4—224no—
659C2×C4—222no—
660C2×C4—448no—
661C2×C4—444no—
662C2×C4—444no—
663C2×C4—4416no—
664C2×C4#66983116yes—
665C2×C4C22×D4414yes—
666C2×C4C22×D4414yes—
667C2×C4C2×#433914yes—
668C2×C4C22×C22⋊D1118yes—
669C2×C4C22×C22⋊D1114yes—
670C22—24no—
671C22—24no—
672C22—24no—
673C22—42no—
674C22—42no—
675C22—416no—
676C22—42no—
677C22—42no—
678C22—224no—
679C22—224no—
680C22—224no—
681C22—442no—
682C22—442no—
683C22—4416no—
684C22—442no—
685C22—442no—
686C22—444no—
687C22—444no—
688C22—444no—
689C22—444no—
690C22—444no—
691C22—444no—
692C22—444no—
693C22—8816no—
694C22#1062305514yes—
695C22#1062305614yes—
696C22#1062306114yes—
697C22#1062306314yes—
698C22C2×#6698314yes—
699C22#1062336014yes—
700C22#1062336514yes—
701C22C23×D4411yescharacteristic
702C22C22×#433911yescharacteristic
703C22C2×#41×D1111yescharacteristic
704C22C2×#41×D1111yescharacteristic
705C22C2×#6704211yescharacteristic
706C22C2×#6704211yescharacteristic
707C22C23×C22⋊D1111yescharacteristic
708C4—28no—
709C4—24no—
710C4—44no—
711C4—224no—
712C4—444no—
713C4—442no—
714C4—442no—
715C4C2×#6698318yes—
716C2—44no—
717C2—444no—
718C2—884no—
719C2#1307202818yesdirect product factor
720C2C22×#6698311yescharacteristic
721C2C2×#1062305511yescharacteristic
722C2C2×#1062305611yescharacteristic
723C2C2×#1062336011yescharacteristic
724C2C2×#1062336511yescharacteristic
725C2C2×#1062306111yescharacteristic
726C2C2×#1062306311yescharacteristic
subgroupG/H
centerC24C23×D11
commutator, cosocleC23×C11C25
FrattiniC23C24×D11
FittingC22×C11×#117C2
socleC24×C11C24
hypercenterC22×#117D11
hypocenterC11C2×#2414
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C24 ◁ C22×#117

Complements

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

NH ≅ G/Ntype
1. C22×#66948C2semidirect
2. C22×#66983C2semidirect
3. C22×C4×C22⋊D11C2semidirect
4. #13072028C2direct (N × H)
5. C2×#10622574C2semidirect
6. C2×#10622573C2semidirect
7. C2×#10622552C2semidirect
8. C2×#10622601C2semidirect
9. C2×#10622598C2semidirect
10. C2×#10622553C2semidirect
11. C2×#10622600C2semidirect
12. C22×C11×#117C2semidirect
20. C2×C11×#117C22semidirect
27. C2×#66983C22semidirect
29. C2×C4×C22⋊D11C22semidirect
41. C2×#66948C22semidirect
44. #10622601C22semidirect
45. #10622600C22semidirect
46. #10622598C22semidirect
47. #10622574C22semidirect
48. #10622573C22semidirect
49. #10622553C22semidirect
50. #10622552C22semidirect
56. C23×C4×C11D4semidirect
88. C2×C11×C4⋊C4D4semidirect
162. C22×C4×C11C2×D4semidirect
205. C11×C4⋊C4C2×D4semidirect
222. C22×#117D11semidirect
332. C2×#117C2×D11semidirect
432. C23×C4D44semidirect
449. C2×C4⋊C4C22⋊D11semidirect
475. C2×C11#2414semidirect
558. C22×C4C2×D44semidirect
570. C4⋊C4C2×C22⋊D11semidirect
581. C11C2×#2414semidirect
719. C2#13072028direct (N × H)

Maximal subgroups

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

subgroupindex
C22×#669482
C22×#669832
C22×C4×C22⋊D112
#130720282
C2×#106225742
C2×#106225732
C2×#106225522
C2×#106226012
C2×#106225982
C2×#106225532
C2×#106226002
C22×C11×#1172
C2×#241411