Finite Group Databasebeta

← #14914031

Subgroups — #14914031

Order 2816.

4982 conjugacy classes of subgroups.

The subgroup lattice has 710 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#67006C211yesmaximal, characteristic
2C2×#10623017C211yesmaximal, characteristic, complemented
3#13071595C218yesmaximal, complemented
4#13071461C214yesmaximal, complemented
5C22⋊C4×C22⋊D11C214yesmaximal, complemented
6#13071274C214yesmaximal, complemented
7#13071228C211yesmaximal, characteristic, complemented
8#13071191C211yesmaximal, characteristic, complemented
9C4×#67006C214yesmaximal, complemented
10C2×#10622860C211yesmaximal, characteristic, complemented
11#13070969C211yesmaximal, characteristic, complemented
12C23×C11×C22⋊C4C211yesmaximal, characteristic, complemented
13C26×C11C2211yescharacteristic
14C24×C4×C11C2212yescomplemented
15C23×C22⋊D11C2211yescharacteristic
16C23×C22⋊D11C2212yes—
17C22×C11×C22⋊C4—28no—
18C22×C11×C22⋊C4C2214yes—
19C22×C11×C22⋊C4C2211yescharacteristic
20C22×C11×C22⋊C4C2211yescharacteristic
21C22×C11×C22⋊C4C2212yescomplemented
22C22×C11×C22⋊C4C2214yescomplemented
23C2×#67006C4116yescomplemented
24C2×#67006C2212yes—
25C2×#67006C2212yes—
26C2×#67006C2214yes—
27C22×C22⋊Dic11C2211yescharacteristic
28C22×C22⋊Dic11C2211yescharacteristic
29C22×C22⋊Dic11C2212yes—
30C22×C22⋊Dic11C2211yescharacteristic
31C22×C22⋊Dic11C2214yescomplemented
32C2×C4×C22⋊D11C2214yescomplemented
33C2×C4×C22⋊D11C2218yescomplemented
34#10623017—28no—
35C2×(C22⋊D11)⋊C4C2214yescomplemented
36C2×C22⋊C4×D11C2212yescomplemented
37C2×#66930C2212yescomplemented
38#10622860C2214yes—
39#10622860C2212yescomplemented
40#10622860C2212yescomplemented
41#10622826C2218yescomplemented
42#10622826C2214yescomplemented
43#10622823C2218yescomplemented
44#10622823C2214yescomplemented
45C4×C22⋊Dic11C2218yescomplemented
46C4×C22⋊Dic11C2214yescomplemented
47#10622571C2214yescomplemented
48#10622570C2218yescomplemented
49#10622569C2218yescomplemented
50#10622568C2212yescomplemented
51#10622559C2214yescomplemented
52#10622558C2218yescomplemented
53#10622557C2218yescomplemented
54#10622556C2212yescomplemented
55#10622555C2214yescomplemented
56C22⋊C4×Dic11C2214yescomplemented
57C22⋊C4×Dic11C2214yescomplemented
58C25×C11—24no—
59C25×C11—24no—
60C25×C11—48no—
61C25×C11C2×C418yescomplemented
62C25×C11C2311yescharacteristic
63C25×C11C2312yes—
64C25×C11C2312yes—
65C25×C11C2311yescharacteristic
66C25×C11C2311yescharacteristic
67C24×D11C2311yescharacteristic
68C23×C4×C11—28no—
69C23×C4×C11—48no—
70C23×C4×C11C2318yes—
71C23×C4×C11C2312yes—
72C23×C4×C11C2312yes—
73C22×C22⋊D11—24no—
74C22×C22⋊D11—24no—
75C22×C22⋊D11—48no—
76C22×C22⋊D11C2×C418yescomplemented
77C22×C22⋊D11C2×C4116yescomplemented
78C22×C22⋊D11C2312yes—
79C22×C22⋊D11C2314yes—
80C22×C22⋊D11C2312yes—
81C22×C22⋊D11C2314yes—
82C23×Dic11C2311yescharacteristic
83C23×Dic11C2312yes—
84C23×Dic11C2312yes—
85C23×Dic11C2312yes—
86C22×C4×D11C2314yescomplemented
87C2×C11×C22⋊C4—24no—
88C2×C11×C22⋊C4—28no—
89C2×C11×C22⋊C4—216no—
90C2×C11×C22⋊C4—216no—
91C2×C11×C22⋊C4D418yescomplemented
92C2×C11×C22⋊C4C2312yes—
93C2×C11×C22⋊C4C2318yes—
94C2×C11×C22⋊C4C2312yes—
95C2×C11×C22⋊C4C2312yes—
96C2×C11×C22⋊C4C2312yes—
97#67006C2×C4116yescomplemented
98#67006C2×C4132yescomplemented
99#67006C2×C4116yescomplemented
100C2×C22⋊Dic11—24no—
101C2×C22⋊Dic11—24no—
102C2×C22⋊Dic11—48no—
103C2×C22⋊Dic11C2×C4116yescomplemented
104C2×C22⋊Dic11C2×C418yescomplemented
105C2×C22⋊Dic11C2312yes—
106C2×C22⋊Dic11C2312yes—
107C2×C22⋊Dic11C2318yes—
108C2×C22⋊Dic11C2312yes—
109C2×C22⋊Dic11C2312yes—
110C2×C22⋊Dic11C2318yes—
111C2×C22⋊Dic11C2312yes—
112C2×C22⋊Dic11C2314yes—
113C2×C22⋊Dic11C2312yes—
114C2×C22⋊Dic11C2314yes—
115C4×C22⋊D11—216no—
116C4×C22⋊D11—416no—
117C2×(C2×D11)⋊C4C2314yescomplemented
118C2×(C2×D11)⋊C4C2318yescomplemented
119C2×Dic11⋊C4C2314yescomplemented
120C2×Dic11⋊C4C2318yescomplemented
121C2×C4×Dic11C2314yescomplemented
122C2×C4×Dic11C2318yescomplemented
123(C22⋊D11)⋊C4—216no—
124C22⋊C4×D11—28no—
125#66930—28no—
126C11⋊#95C2318yescomplemented
127C11⋊#95C2318yescomplemented
128C11⋊#95C2318yescomplemented
129#34198—111nomaximal, Sylow
130C24×C11—22no—
131C24×C11—22no—
132C24×C11—28no—
133C24×C11—232no—
134C24×C11—24no—
135C24×C11—24no—
136C24×C11—22no—
137C24×C11—24no—
138C24×C11—24no—
139C24×C11—22no—
140C24×C11—28no—
141C24×C11—28no—
142C24×C11—432no—
143C24×C11—44no—
144C24×C11—44no—
145C24×C11—44no—
146C24×C11—44no—
147C24×C11—432no—
148C24×C11—432no—
149C24×C11C22×C414yes—
150C24×C11C22×C418yes—
151C24×C11C22×C418yes—
152C24×C11C22×C414yes—
153C24×C11C22×C414yes—
154C24×C11C2×D414yes—
155C24×C11#4114yes—
156C24×C11C2412yes—
157C24×C11C2411yescharacteristic
158C24×C11C2411yescharacteristic
159C24×C11C2411yescharacteristic
160C24×C11C2412yes—
161C23×D11—22no—
162C23×D11—22no—
163C23×D11—44no—
164C23×D11C22×C414yescomplemented
165C23×D11C2412yes—
166C22×C4×C11—24no—
167C22×C4×C11—216no—
168C22×C4×C11—216no—
169C22×C4×C11—44no—
170C22×C4×C11—48no—
171C22×C4×C11—44no—
172C22×C4×C11—432no—
173C22×C4×C11C2×D418yescomplemented
174C22×C4×C11C2414yes—
175C22×C4×C11C2414yes—
176C2×C22⋊D11—232no—
177C2×C22⋊D11—24no—
178C2×C22⋊D11—24no—
179C2×C22⋊D11—24no—
180C2×C22⋊D11—24no—
181C2×C22⋊D11—216no—
182C2×C22⋊D11—48no—
183C2×C22⋊D11—432no—
184C2×C22⋊D11C22×C418yes—
185C2×C22⋊D11C22×C4116yes—
186C2×C22⋊D11C22×C418yescomplemented
187C2×C22⋊D11C22×C4116yescomplemented
188C22×Dic11—22no—
189C22×Dic11—24no—
190C22×Dic11—22no—
191C22×Dic11—24no—
192C22×Dic11—44no—
193C22×Dic11—44no—
194C22×Dic11—44no—
195C22×Dic11C22×C414yescomplemented
196C22×Dic11C22×C418yescomplemented
197C22×Dic11C2414yes—
198C22×Dic11C2414yes—
199C22×Dic11C2412yes—
200C22×Dic11C2414yes—
201C2×C4×D11—28no—
202C2×C4×D11—48no—
203C11×C22⋊C4—24no—
204C11×C22⋊C4—24no—
205C11×C22⋊C4—216no—
206C11×C22⋊C4C2×D418yes—
207C11×C22⋊C4C2×D418yescomplemented
208C22⋊Dic11—24no—
209C22⋊Dic11—24no—
210C22⋊Dic11—24no—
211C22⋊Dic11—24no—
212C22⋊Dic11—216no—
213C22⋊Dic11—48no—
214C22⋊Dic11C22×C418yes—
215C22⋊Dic11C22×C4116yes—
216C22⋊Dic11C22×C4116yescomplemented
217C22⋊Dic11C22×C418yescomplemented
218(C2×D11)⋊C4—28no—
219(C2×D11)⋊C4—48no—
220Dic11⋊C4—28no—
221Dic11⋊C4—48no—
222C4×Dic11—28no—
223C4×Dic11—48no—
224C22×#120—111no—
225C2×#518—111no—
226C23×C22⋊C4D1111yescharacteristic, complemented
227#2358—118no—
228#2342—114no—
229D4×C22⋊C4—114no—
230#2321—114no—
231#2315—111no—
232#2308—111no—
233C4×#120—114no—
234C2×#379—111no—
235#2273—111no—
236C23×C11—216no—
237C23×C11—216no—
238C23×C11—28no—
239C23×C11—216no—
240C23×C11—22no—
241C23×C11—22no—
242C23×C11—24no—
243C23×C11—24no—
244C23×C11—24no—
245C23×C11—24no—
246C23×C11—216no—
247C23×C11—216no—
248C23×C11—28no—
249C23×C11—216no—
250C23×C11—216no—
251C23×C11—22no—
252C23×C11—22no—
253C23×C11—24no—
254C23×C11—24no—
255C23×C11—48no—
256C23×C11—48no—
257C23×C11—48no—
258C23×C11—48no—
259C23×C11—48no—
260C23×C11—48no—
261C23×C11—416no—
262C23×C11—416no—
263C23×C11—416no—
264C23×C11—416no—
265C23×C11—4128no—
266C23×C11—48no—
267C23×C11—48no—
268C23×C11C4×D4116yescomplemented
269C23×C11C23×C414yes—
270C23×C11C23×C412yes—
271C23×C11C23×C412yes—
272C23×C11C23×C412yes—
273C23×C11C23×C414yes—
274C23×C11C22×D412yes—
275C23×C11C22×D412yes—
276C23×C11C22×D412yes—
277C23×C11C2×#4112yes—
278C23×C11C2×#4112yes—
279C23×C11C2×#4112yes—
280C23×C11H(5,𝔽2)18yes—
281C23×C11C2511yescharacteristic
282C22×D11—22no—
283C22×D11—22no—
284C22×D11—28no—
285C22×D11—28no—
286C22×D11—48no—
287C22×D11—84no—
288C22×D11—84no—
289C22×D11C23×C414yes—
290C2×C4×C11—28no—
291C2×C4×C11—24no—
292C2×C4×C11—28no—
293C2×C4×C11—48no—
294C2×C4×C11—432no—
295C2×C4×C11—48no—
296C2×C4×C11C22×D418yes—
297C22⋊D11—216no—
298C22⋊D11—216no—
299C22⋊D11—232no—
300C22⋊D11—416no—
301C2×Dic11—28no—
302C2×Dic11—22no—
303C2×Dic11—22no—
304C2×Dic11—28no—
305C2×Dic11—24no—
306C2×Dic11—24no—
307C2×Dic11—28no—
308C2×Dic11—28no—
309C2×Dic11—48no—
310C2×Dic11—84no—
311C2×Dic11—84no—
312C2×Dic11C23×C414yes—
313C2×Dic11C23×C418yes—
314C4×D11—88no—
315C26C2×D1111yescharacteristic
316C23×D4—111no—
317C23×D4—112no—
318C24×C4C2×D1112yescomplemented
319C2×#120—112no—
320C2×#120—114no—
321C2×#120—112no—
322C2×#120—1116no—
323#518—228no—
324C2×C4×D4—114no—
325C2×C4×D4—118no—
326C2×C4×D4—114no—
327C2×#117—112no—
328C22×C22⋊C4—28no—
329C22×C22⋊C4—111no—
330C22×C22⋊C4—112no—
331C22×C22⋊C4—111no—
332C22×C22⋊C4—111no—
333C22×C22⋊C4—114no—
334C22×C22⋊C4—112no—
335C22×C22⋊C4C2×D1111yescharacteristic
336C22×C22⋊C4C2×D1114yes—
337C22×C22⋊C4C2×D1111yescharacteristic
338C22×C22⋊C4C2×D1112yescomplemented
339C22×C22⋊C4C2×D1114yescomplemented
340#390—118no—
341#388—118no—
342#388—118no—
343#386—114no—
344#386—118no—
345#386—114no—
346#386—118no—
347#385—114no—
348#385—118no—
349#385—114no—
350#381—112no—
351#380—114no—
352#379—112no—
353#379—114no—
354#379—112no—
355#379—112no—
356C4×C22⋊C4—114no—
357C4×C22⋊C4—118no—
358C4×C22⋊C4—114no—
359C4×C22⋊C4—114no—
360C22×C11—232no—
361C22×C11—24no—
362C22×C11—24no—
363C22×C11—24no—
364C22×C11—24no—
365C22×C11—24no—
366C22×C11—24no—
367C22×C11—28no—
368C22×C11—24no—
369C22×C11—24no—
370C22×C11—24no—
371C22×C11—24no—
372C22×C11—28no—
373C22×C11—24no—
374C22×C11—24no—
375C22×C11—24no—
376C22×C11—24no—
377C22×C11—416no—
378C22×C11—432no—
379C22×C11—432no—
380C22×C11—416no—
381C22×C11—44no—
382C22×C11—44no—
383C22×C11C2×C4×D414yes—
384C22×C11C2×C4×D414yes—
385C22×C11C2×C4×D414yes—
386C22×C11#51818yescomplemented
387C22×C11C24×C411yescharacteristic
388C22×C11C23×D411yescharacteristic
389C22×C11C22×#4111yescharacteristic
390C22×C11C2×H(5,𝔽2)14yes—
391C2×D11—24no—
392C2×D11—28no—
393C2×D11—44no—
394C2×D11—44no—
395C2×D11—88no—
396C4×C11—28no—
397C4×C11—44no—
398Dic11—24no—
399Dic11—28no—
400Dic11—44no—
401Dic11—44no—
402C25—24no—
403C25—24no—
404C25—48no—
405C25—111no—
406C25C4×D1118yescomplemented
407C25C22×D1111yescharacteristic
408C25C22×D1112yes—
409C25C22×D1112yes—
410C25C22×D1111yescharacteristic
411C25C22×D1111yescharacteristic
412C22×D4—118no—
413C22×D4—112no—
414C22×D4—114no—
415C22×D4—112no—
416C22×D4—1116no—
417C22×D4—114no—
418C22×D4—224no—
419C22×D4—224no—
420C22×D4—448no—
421C23×C4—28no—
422C23×C4—48no—
423C23×C4—111no—
424C23×C4—112no—
425C23×C4—112no—
426C23×C4—112no—
427C23×C4—114no—
428C23×C4C22×D1118yes—
429C23×C4C22×D1112yes—
430C23×C4C22×D1112yes—
431#120—1116no—
432#120—1132no—
433#120—1116no—
434C4×D4—2216no—
435C4×D4—2216no—
436C4×D4—4416no—
437#117—228no—
438C2×C4⋊C4—114no—
439C2×C4⋊C4—118no—
440C2×C22⋊C4—24no—
441C2×C22⋊C4—28no—
442C2×C22⋊C4—216no—
443C2×C22⋊C4—216no—
444C2×C22⋊C4—1116no—
445C2×C22⋊C4—118no—
446C2×C22⋊C4—112no—
447C2×C22⋊C4—114no—
448C2×C22⋊C4—112no—
449C2×C22⋊C4—114no—
450C2×C22⋊C4—112no—
451C2×C22⋊C4—112no—
452C2×C22⋊C4—118no—
453C2×C22⋊C4—112no—
454C2×C22⋊C4—112no—
455C2×C22⋊C4—114no—
456C2×C22⋊C4—118no—
457C2×C22⋊C4—118no—
458C2×C22⋊C4—224no—
459C2×C22⋊C4—224no—
460C2×C22⋊C4—228no—
461C2×C22⋊C4—448no—
462C2×C22⋊C4C22⋊D1118yescomplemented
463C2×C22⋊C4C22×D1112yes—
464C2×C22⋊C4C22×D1112yes—
465C2×C22⋊C4C22×D1118yes—
466C2×C22⋊C4C22×D1112yes—
467C2×C22⋊C4C22×D1112yes—
468C2×C42—114no—
469C2×C42—118no—
470#95—118no—
471#95—118no—
472#95—118no—
473C2×C11—24no—
474C2×C11—24no—
475C2×C11—28no—
476C2×C11—24no—
477C2×C11—44no—
478C2×C11C22×C4×D411yescharacteristic
479C2×C11C2×#51812yes—
480C2×C11#348412yes—
481C2×C11#349012yes—
482D11—44no—
483C24—22no—
484C24—28no—
485C24—22no—
486C24—232no—
487C24—24no—
488C24—24no—
489C24—22no—
490C24—28no—
491C24—28no—
492C24—24no—
493C24—24no—
494C24—22no—
495C24—44no—
496C24—44no—
497C24—44no—
498C24—44no—
499C24—432no—
500C24—432no—
501C24—432no—
502C24—112no—
503C24—114no—
504C24—222no—
505C24—222no—
506C24—444no—
507C24C2×C4×D1114yes—
508C24C2×C4×D1118yes—
509C24C2×C4×D1118yes—
510C24C2×C4×D1114yes—
511C24C2×C4×D1114yes—
512C24#433914yes—
513C24C2×C22⋊D1114yes—
514C24C23×D1112yes—
515C24C23×D1111yescharacteristic
516C24C23×D1111yescharacteristic
517C24C23×D1111yescharacteristic
518C24C23×D1112yes—
519C2×D4—1116no—
520C2×D4—118no—
521C2×D4—118no—
522C2×D4—1116no—
523C2×D4—2232no—
524C2×D4—224no—
525C2×D4—224no—
526C2×D4—2216no—
527C2×D4—224no—
528C2×D4—224no—
529C2×D4—448no—
530C2×D4—4432no—
531C22×C4—216no—
532C22×C4—24no—
533C22×C4—216no—
534C22×C4—44no—
535C22×C4—48no—
536C22×C4—44no—
537C22×C4—432no—
538C22×C4—114no—
539C22×C4—112no—
540C22×C4—114no—
541C22×C4—118no—
542C22×C4—114no—
543C22×C4—114no—
544C22×C4—222no—
545C22×C4—222no—
546C22×C4—224no—
547C22×C4—224no—
548C22×C4—228no—
549C22×C4—448no—
550C22×C4—444no—
551C22×C4—444no—
552C22×C4—444no—
553C22×C4C2×C22⋊D1118yescomplemented
554C22×C4C23×D1114yes—
555C22×C4C23×D1114yes—
556C4⋊C4—228no—
557C4⋊C4—448no—
558C22⋊C4—24no—
559C22⋊C4—24no—
560C22⋊C4—216no—
561C22⋊C4—1116no—
562C22⋊C4—118no—
563C22⋊C4—1116no—
564C22⋊C4—118no—
565C22⋊C4—224no—
566C22⋊C4—224no—
567C22⋊C4—2216no—
568C22⋊C4—224no—
569C22⋊C4—224no—
570C22⋊C4—228no—
571C22⋊C4—448no—
572C22⋊C4—448no—
573C22⋊C4C2×C22⋊D1118yes—
574C22⋊C4C2×C22⋊D1118yescomplemented
575C42—228no—
576C42—448no—
577C11#3419811yescharacteristic, complemented, Sylow
578C23—216no—
579C23—216no—
580C23—216no—
581C23—28no—
582C23—22no—
583C23—24no—
584C23—24no—
585C23—24no—
586C23—24no—
587C23—22no—
588C23—216no—
589C23—216no—
590C23—216no—
591C23—216no—
592C23—28no—
593C23—22no—
594C23—24no—
595C23—24no—
596C23—22no—
597C23—48no—
598C23—48no—
599C23—48no—
600C23—48no—
601C23—48no—
602C23—48no—
603C23—416no—
604C23—416no—
605C23—416no—
606C23—416no—
607C23—4128no—
608C23—48no—
609C23—48no—
610C23—114no—
611C23—222no—
612C23—228no—
613C23—222no—
614C23—228no—
615C23—448no—
616C23—884no—
617C23—884no—
618C23C4×C22⋊D11116yescomplemented
619C23C22×C4×D1114yes—
620C23C22×C4×D1114yes—
621C23C22×C4×D1112yes—
622C23C22×C4×D1112yes—
623C23C22×C4×D1112yes—
624C23C2×#433912yes—
625C23C2×#433912yes—
626C23C2×#433912yes—
627C23#6703718yes—
628C23C22×C22⋊D1112yes—
629C23C22×C22⋊D1112yes—
630C23C22×C22⋊D1112yes—
631C23C24×D1111yescharacteristic
632D4—2232no—
633D4—2216no—
634D4—2216no—
635D4—4416no—
636C2×C4—28no—
637C2×C4—28no—
638C2×C4—24no—
639C2×C4—48no—
640C2×C4—432no—
641C2×C4—48no—
642C2×C4—114no—
643C2×C4—118no—
644C2×C4—228no—
645C2×C4—222no—
646C2×C4—228no—
647C2×C4—222no—
648C2×C4—224no—
649C2×C4—228no—
650C2×C4—228no—
651C2×C4—224no—
652C2×C4—448no—
653C2×C4—888no—
654C2×C4—884no—
655C2×C4—884no—
656C2×C4C22×C22⋊D1118yes—
657C22—232no—
658C22—28no—
659C22—24no—
660C22—24no—
661C22—24no—
662C22—24no—
663C22—24no—
664C22—24no—
665C22—28no—
666C22—24no—
667C22—24no—
668C22—24no—
669C22—24no—
670C22—24no—
671C22—24no—
672C22—24no—
673C22—24no—
674C22—416no—
675C22—432no—
676C22—432no—
677C22—416no—
678C22—44no—
679C22—44no—
680C22—224no—
681C22—228no—
682C22—444no—
683C22—444no—
684C22—888no—
685C22#1062301718yescomplemented
686C22C2×C4×C22⋊D1114yes—
687C22C2×C4×C22⋊D1114yes—
688C22C2×C4×C22⋊D1114yes—
689C22C23×C4×D1111yescharacteristic
690C22C22×#433911yescharacteristic
691C22C2×#6703714yes—
692C22C23×C22⋊D1111yescharacteristic
693C4—28no—
694C4—44no—
695C4—224no—
696C4—228no—
697C4—444no—
698C4—444no—
699C2—28no—
700C2—24no—
701C2—24no—
702C2—24no—
703C2—44no—
704C2—444no—
705C2C22×C4×C22⋊D1111yescharacteristic
706C2C2×#1062301712yes—
707C2#1308225112yes—
708C2#1308230512yes—
subgroupG/H
center, FrattiniC23C24×D11
commutatorC22×C11C24×C4
FittingC23×C11×C22⋊C4C2
socle, cosocleC23×C11C25
prime radicalC22×#67006C2
hypercenterC23×C22⋊C4D11
hypocenterC11#34198
LCSG ▷ C22×C11 ▷ C11
UCSC1 ◁ C23 ◁ C23×C22⋊C4

Complements

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

NH ≅ G/Ntype
2. C2×#10623017C2semidirect
3. #13071595C2semidirect
4. #13071461C2semidirect
5. C22⋊C4×C22⋊D11C2semidirect
6. #13071274C2semidirect
7. #13071228C2semidirect
8. #13071191C2semidirect
9. C4×#67006C2semidirect
10. C2×#10622860C2semidirect
11. #13070969C2semidirect
12. C23×C11×C22⋊C4C2semidirect
14. C24×C4×C11C22semidirect
21. C22×C11×C22⋊C4C22semidirect
22. C22×C11×C22⋊C4C22semidirect
23. C2×#67006C4semidirect
31. C22×C22⋊Dic11C22semidirect
32. C2×C4×C22⋊D11C22semidirect
33. C2×C4×C22⋊D11C22semidirect
35. C2×(C22⋊D11)⋊C4C22semidirect
36. C2×C22⋊C4×D11C22semidirect
37. C2×#66930C22semidirect
39. #10622860C22semidirect
40. #10622860C22semidirect
41. #10622826C22semidirect
42. #10622826C22semidirect
43. #10622823C22semidirect
44. #10622823C22semidirect
45. C4×C22⋊Dic11C22semidirect
46. C4×C22⋊Dic11C22semidirect
47. #10622571C22semidirect
48. #10622570C22semidirect
49. #10622569C22semidirect
50. #10622568C22semidirect
51. #10622559C22semidirect
52. #10622558C22semidirect
53. #10622557C22semidirect
54. #10622556C22semidirect
55. #10622555C22semidirect
56. C22⋊C4×Dic11C22semidirect
57. C22⋊C4×Dic11C22semidirect
61. C25×C11C2×C4semidirect
76. C22×C22⋊D11C2×C4semidirect
77. C22×C22⋊D11C2×C4semidirect
86. C22×C4×D11C23semidirect
91. C2×C11×C22⋊C4D4semidirect
97. #67006C2×C4semidirect
98. #67006C2×C4semidirect
99. #67006C2×C4semidirect
103. C2×C22⋊Dic11C2×C4semidirect
104. C2×C22⋊Dic11C2×C4semidirect
117. C2×(C2×D11)⋊C4C23semidirect
118. C2×(C2×D11)⋊C4C23semidirect
119. C2×Dic11⋊C4C23semidirect
120. C2×Dic11⋊C4C23semidirect
121. C2×C4×Dic11C23semidirect
122. C2×C4×Dic11C23semidirect
126. C11⋊#95C23semidirect
127. C11⋊#95C23semidirect
128. C11⋊#95C23semidirect
164. C23×D11C22×C4semidirect
173. C22×C4×C11C2×D4semidirect
186. C2×C22⋊D11C22×C4semidirect
187. C2×C22⋊D11C22×C4semidirect
195. C22×Dic11C22×C4semidirect
196. C22×Dic11C22×C4semidirect
207. C11×C22⋊C4C2×D4semidirect
216. C22⋊Dic11C22×C4semidirect
217. C22⋊Dic11C22×C4semidirect
226. C23×C22⋊C4D11semidirect
268. C23×C11C4×D4semidirect
318. C24×C4C2×D11semidirect
338. C22×C22⋊C4C2×D11semidirect
339. C22×C22⋊C4C2×D11semidirect
386. C22×C11#518semidirect
406. C25C4×D11semidirect
462. C2×C22⋊C4C22⋊D11semidirect
553. C22×C4C2×C22⋊D11semidirect
574. C22⋊C4C2×C22⋊D11semidirect
577. C11#34198semidirect
618. C23C4×C22⋊D11semidirect
685. C22#10623017semidirect

Maximal subgroups

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

subgroupindex
C22×#670062
C2×#106230172
#130715952
#130714612
C22⋊C4×C22⋊D112
#130712742
#130712282
#130711912
C4×#670062
C2×#106228602
#130709692
C23×C11×C22⋊C42
#3419811