Finite Group Databasebeta

← C2×#13079424 #15624366

Subgroups — C2×#13079424 #15624366

Order 2816.

2666 conjugacy classes of subgroups.

The subgroup lattice has 706 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#66950C211yesmaximal, characteristic, complemented
2C2×D11×#121C211yesmaximal, characteristic
3#13079424C2116yesmaximal, direct product factor
4C2×#10622497C212yesmaximal, complemented
5C2×#10622580C211yesmaximal, characteristic, complemented
6C2×#10622499C212yesmaximal, complemented
7C2×#10622393C212yesmaximal, complemented
8C2×#10622351C211yesmaximal, characteristic, complemented
9C2×#10622653C211yesmaximal, characteristic, complemented
10C2×#10622389C212yesmaximal, complemented
11C2×#10622339C211yesmaximal, characteristic, complemented
12C2×C11×#480C211yesmaximal, characteristic, complemented
13C22×D4×D11—21no—
14C22×D4×D11C2211yescharacteristic
15C23×C4×D11C2211yescharacteristic
16C23×Dic22C2211yescharacteristic, complemented
17C2×C11×#121C2211yescharacteristic
18C22×C11×C4⋊C4C2211yescharacteristic, complemented
19C2×#66992—21no—
20C2×#66991C2211yescharacteristic
21C22×#4324C2212yescomplemented
22C2×#66983C2211yescharacteristic
23C22×(C2×D11)⋊C4—21no—
24C22×C4⋊Dic11—21no—
25C22×#4314C2212yescomplemented
26C22×#4313C2212yescomplemented
27D11×#121—24no—
28D11×#121C2218yes—
29C2×#66950—24no—
30C2×#66950—21no—
31C2×#66950—21no—
32C2×#66950C2212yes—
33C2×#66950C2218yescomplemented
34C2×#66950C2212yescomplemented
35C2×#66948C2211yescharacteristic
36C2×C4⋊C4×D11C2211yescharacteristic
37C2×#66937—21no—
38C2×C22⋊C4×D11—21no—
39C11×#480C2218yescomplemented
40C2×C11×#107C2212yescomplemented
41C2×C11×#102C2212yescomplemented
42C2×C11×C22⋊C8C2211yescharacteristic, complemented
43C2×C22⋊(C11⋊C8)C2211yescharacteristic, complemented
44C2×(C2×D11)⋊C8C2212yes—
45C2×#66880C2212yescomplemented
46#10622653C2218yescomplemented
47C2×#66874C2212yescomplemented
48#10622580C2218yescomplemented
49C2×#66873C2212yescomplemented
50C2×#66871C2212yescomplemented
51#10622499C22116yescomplemented
52#10622497C22116yescomplemented
53#10622393C22116yescomplemented
54#10622389C22116yescomplemented
55#10622351C2218yescomplemented
56#10622339C2218yescomplemented
57C24×D11—21no—
58C24×D11D411yescharacteristic
59C22×D4×C11—21no—
60C22×D4×C11C2311yescharacteristic
61C23×C4×C11—21no—
62C23×C4×C11C2311yescharacteristic
63C22×C22⋊D11—21no—
64C22×C22⋊D11—21no—
65C22×C22⋊D11—21no—
66C23×Dic11—21no—
67C23×Dic11D411yescharacteristic
68C2×D4×D11—28no—
69C2×D4×D11—22no—
70C2×D4×D11—44no—
71C2×D4×D11—48no—
72C2×D4×D11C2314yes—
73C22×D44—21no—
74C22×D44C2311yescharacteristic
75C22×C4×D11—21no—
76C22×C4×D11—44no—
77C22×C4×D11D411yescharacteristic
78C22×C4×D11D411yescharacteristic
79C22×C4×D11D414yes—
80C22×C4×D11C2311yescharacteristic
81C22×C4×D11C2311yescharacteristic
82C22×C4×D11C2314yes—
83C22×Dic22—22no—
84C22×Dic22—21no—
85C22×Dic22—44no—
86C22×Dic22C2312yes—
87C22×Dic22C2314yescomplemented
88C22×C8×C11C2312yes—
89C11×#121—22no—
90C11×#121C2314yes—
91C2×C11×C4⋊C4—22no—
92C2×C11×C4⋊C4—21no—
93C2×C11×C4⋊C4C2311yescharacteristic
94C2×C11×C4⋊C4C2312yes—
95C2×C11×C4⋊C4C2314yescomplemented
96C2×C11×C22⋊C4—21no—
97C2×C22⋊Dic11—21no—
98#66992—28no—
99#66991—22no—
100#66991C2314yes—
101C2×#4324—44no—
102C2×#4324C2318yescomplemented
103#66983—22no—
104#66983C2314yes—
105C2×(C2×D11)⋊C4—22no—
106C2×(C2×D11)⋊C4—28no—
107C2×(C2×D11)⋊C4—22no—
108C2×(C2×D11)⋊C4—21no—
109C2×(C2×D11)⋊C4—21no—
110C2×C4⋊Dic11—22no—
111C2×C4⋊Dic11—28no—
112C2×C4⋊Dic11—22no—
113C2×C4⋊Dic11C2311yescharacteristic
114C2×Dic11⋊C4—21no—
115C22×C11⋊C8C2312yes—
116C2×#4314—44no—
117C2×#4314C2318yescomplemented
118C2×#4313—44no—
119C2×#4313C2318yescomplemented
120#66950—24no—
121#66950—28no—
122#66950—28no—
123#66950—24no—
124#66950C2318yes—
125#66950C2318yescomplemented
126#66948—22no—
127#66948C2314yes—
128C4⋊C4×D11—22no—
129C4⋊C4×D11C2314yes—
130#66937—28no—
131C22⋊C4×D11—28no—
132C11×#107C2318yescomplemented
133C11×#102C2318yescomplemented
134C11×C22⋊C8C2314yescomplemented
135C22⋊(C11⋊C8)C2314yescomplemented
136(C2×D11)⋊C8C2318yes—
137#66880C2318yescomplemented
138#66874C2318yescomplemented
139#66873C2318yescomplemented
140#66871C2318yescomplemented
141C2×#3193—111nomaximal, Sylow
142C24×C11—21no—
143C24×C11C2×D411yescharacteristic
144C23×D11—24no—
145C23×D11—24no—
146C23×D11—21no—
147C23×D11—24no—
148C23×D11—42no—
149C23×D11—44no—
150C23×D11—44no—
151C23×D11—44no—
152C23×D11C2×D411yescharacteristic
153C23×D11C2×D414yes—
154C23×D11C2×D411yescharacteristic
155C2×D4×C11—24no—
156C2×D4×C11—21no—
157C2×D4×C11—24no—
158C2×D4×C11—44no—
159C2×D4×C11C2412yes—
160C22×C4×C11—24no—
161C22×C4×C11—21no—
162C22×C4×C11—22no—
163C22×C4×C11—24no—
164C22×C4×C11—44no—
165C22×C4×C11C2×D411yescharacteristic
166C22×C4×C11C2×D412yes—
167C22×C4×C11C2412yes—
168C22×C4×C11C2411yescharacteristic
169C2×C22⋊D11—24no—
170C2×C22⋊D11—24no—
171C2×C22⋊D11—24no—
172C2×C22⋊D11—44no—
173C2×C22⋊D11—44no—
174C2×C22⋊D11—44no—
175C22×Dic11—21no—
176C22×Dic11—22no—
177C22×Dic11—24no—
178C22×Dic11—42no—
179C22×Dic11—44no—
180C22×Dic11C2×D411yescharacteristic
181C22×Dic11C2×D411yescharacteristic
182C22×Dic11C2×D414yes—
183D4×D11—48no—
184D4×D11—432no—
185D4×D11—48no—
186C2×D44—24no—
187C2×D44—21no—
188C2×D44—24no—
189C2×D44—44no—
190C2×D44C2412yes—
191C2×C4×D11—24no—
192C2×C4×D11—24no—
193C2×C4×D11—24no—
194C2×C4×D11—42no—
195C2×C4×D11—42no—
196C2×C4×D11—48no—
197C2×C4×D11—48no—
198C2×C4×D11—44no—
199C2×C4×D11C2×D412yes—
200C2×C4×D11C2×D412yes—
201C2×C4×D11C2×D414yes—
202C2×C4×D11C2×D414yes—
203C2×C4×D11C2412yes—
204C2×C4×D11C2412yes—
205C2×Dic22—22no—
206C2×Dic22—24no—
207C2×Dic22—24no—
208C2×Dic22—24no—
209C2×Dic22—48no—
210C2×Dic22—44no—
211C2×Dic22—48no—
212C2×Dic22C2414yes—
213C2×C8×C11—24no—
214C2×C8×C11C2414yes—
215C11×C4⋊C4—21no—
216C11×C4⋊C4—22no—
217C11×C4⋊C4—24no—
218C11×C4⋊C4C2414yes—
219C11×C4⋊C4C2412yes—
220C11×C22⋊C4—24no—
221C22⋊Dic11—24no—
222#4324—48no—
223(C2×D11)⋊C4—24no—
224(C2×D11)⋊C4—28no—
225(C2×D11)⋊C4—28no—
226(C2×D11)⋊C4—24no—
227C4⋊Dic11—28no—
228C4⋊Dic11—28no—
229C4⋊Dic11—21no—
230C4⋊Dic11C2412yes—
231Dic11⋊C4—24no—
232C2×C11⋊C8—24no—
233C2×C11⋊C8C2414yes—
234#4314—48no—
235#4313—48no—
236C22×C22⋊Q8—111no—
237C22×#121—111no—
238#3193—1116no—
239C2×#484—112no—
240C2×#480—111no—
241C2×#480D1111yescharacteristic, complemented
242C2×#468—112no—
243C2×#468—112no—
244C2×#448—111no—
245C2×#448—111no—
246C2×#450—112no—
247C2×#407—111no—
248C23×C11—22no—
249C23×C11—22no—
250C23×C11—22no—
251C23×C11—42no—
252C23×C11—42no—
253C23×C11—42no—
254C23×C11AGL(1,ℤ/8)14yes—
255C23×C11C22×D412yes—
256C23×C11C22×D411yescharacteristic
257C22×D11—22no—
258C22×D11—22no—
259C22×D11—22no—
260C22×D11—22no—
261C22×D11—28no—
262C22×D11—22no—
263C22×D11—28no—
264C22×D11—22no—
265C22×D11—44no—
266C22×D11—416no—
267C22×D11—48no—
268C22×D11—48no—
269C22×D11—42no—
270C22×D11—42no—
271C22×D11—42no—
272C22×D11—48no—
273C22×D11—816no—
274C22×D11#13714yes—
275C22×D11C22×D412yes—
276C22×D11C22×D412yes—
277D4×C11—24no—
278D4×C11—48no—
279D4×C11—42no—
280C2×C4×C11—22no—
281C2×C4×C11—24no—
282C2×C4×C11—24no—
283C2×C4×C11—22no—
284C2×C4×C11—24no—
285C2×C4×C11—42no—
286C2×C4×C11—48no—
287C2×C4×C11—44no—
288C2×C4×C11C22×D412yes—
289C2×C4×C11C22×D411yescharacteristic
290C2×C4×C11H(5,𝔽2)14yes—
291C2×C4×C11C2511yescharacteristic
292C22⋊D11—48no—
293C22⋊D11—48no—
294C22⋊D11—48no—
295C2×Dic11—22no—
296C2×Dic11—22no—
297C2×Dic11—22no—
298C2×Dic11—24no—
299C2×Dic11—44no—
300C2×Dic11—48no—
301C2×Dic11—44no—
302C2×Dic11—42no—
303C2×Dic11C22×D412yes—
304C2×Dic11C22×D412yes—
305D44—24no—
306D44—48no—
307D44—42no—
308C4×D11—24no—
309C4×D11—24no—
310C4×D11—24no—
311C4×D11—24no—
312C4×D11—44no—
313C4×D11—44no—
314C4×D11—48no—
315Dic22—24no—
316Dic22—24no—
317Dic22—48no—
318Dic22—44no—
319C8×C11—24no—
320C11⋊C8—24no—
321C23×Q8—111no—
322C23×D4—111no—
323C23×D4—221no—
324C24×C4—111no—
325C22×SD16—112no—
326C22×SD16—112no—
327C22×M16—112no—
328C2×C22⋊Q8—112no—
329C2×C22⋊Q8—112no—
330C2×C22⋊Q8—118no—
331C2×C22⋊Q8—221no—
332C2×C22⋊Q8—224no—
333C2×C22⋊Q8—221no—
334C2×#121—111no—
335C2×#121—111no—
336C2×#121—118no—
337C2×#121—111no—
338C2×#121—221no—
339C2×#121—224no—
340C2×#121—221no—
341C2×#121C2×D1111yescharacteristic
342C22×C4⋊C4—111no—
343C22×C4⋊C4—221no—
344C22×C4⋊C4C2×D1111yescharacteristic, complemented
345C22×C22⋊C4—221no—
346C22×C22⋊C4—221no—
347#484—1116no—
348#480—118no—
349#480C2×D1118yescomplemented
350#468—1116no—
351#468—1116no—
352#450—1116no—
353#448—118no—
354#448—118no—
355C2×#107—112no—
356C2×#107C2×D1112yescomplemented
357C2×#103—112no—
358C2×#103—112no—
359C2×#102—112no—
360C2×#102C2×D1112yescomplemented
361#407—118no—
362C2×C22⋊C8—111no—
363C2×C22⋊C8—112no—
364C2×C22⋊C8C2×D1111yescharacteristic, complemented
365C22×C11—22no—
366C22×C11—28no—
367C22×C11—22no—
368C22×C11—42no—
369C22×C11—42no—
370C22×C11—42no—
371C22×C11—84no—
372C22×C11#53412yes—
373C22×C11C2×AGL(1,ℤ/8)14yes—
374C22×C11C2×AGL(1,ℤ/8)12yes—
375C22×C11C2×#13712yes—
376C22×C11C23×D411yescharacteristic
377C2×D11—22no—
378C2×D11—28no—
379C2×D11—22no—
380C2×D11—22no—
381C2×D11—22no—
382C2×D11—22no—
383C2×D11—416no—
384C2×D11—44no—
385C2×D11—42no—
386C2×D11—42no—
387C2×D11—42no—
388C2×D11—816no—
389C2×D11—84no—
390C2×D11C2×#13714yes—
391C4×C11—22no—
392C4×C11—44no—
393C4×C11—42no—
394C4×C11#53412yes—
395C4×C11C2×H(5,𝔽2)12yes—
396Dic11—22no—
397Dic11—22no—
398Dic11—44no—
399Dic11—42no—
400C25—111no—
401C25—221no—
402C22×Q8—112no—
403C22×Q8—114no—
404C22×Q8—222no—
405C22×Q8—221no—
406C22×Q8—444no—
407C22×D4—21no—
408C22×D4—114no—
409C22×D4—111no—
410C22×D4—221no—
411C22×D4—222no—
412C22×D4—221no—
413C22×D4—228no—
414C22×D4—221no—
415C22×D4—221no—
416C22×D4—444no—
417C22×D4—448no—
418C22×D4C22×D1111yescharacteristic
419C23×C4—21no—
420C23×C4—111no—
421C23×C4—111no—
422C23×C4—111no—
423C23×C4—111no—
424C23×C4—111no—
425C23×C4—114no—
426C23×C4—114no—
427C23×C4—221no—
428C23×C4—221no—
429C23×C4—444no—
430C23×C4C22×D1111yescharacteristic
431C2×SD16—118no—
432C2×SD16—118no—
433C2×SD16—444no—
434C2×SD16—444no—
435C2×M16—118no—
436C2×M16—444no—
437C22×C8—112no—
438C22×C8C22×D1112yes—
439C22⋊Q8—118no—
440C22⋊Q8—118no—
441C22⋊Q8—224no—
442C22⋊Q8—224no—
443C22⋊Q8—228no—
444C22⋊Q8—228no—
445#121—22no—
446#121—114no—
447#121—114no—
448#121—114no—
449#121—228no—
450#121—222no—
451#121—222no—
452#121—228no—
453#121—222no—
454#121C22×D1114yes—
455C2×C4⋊C4—22no—
456C2×C4⋊C4—21no—
457C2×C4⋊C4—111no—
458C2×C4⋊C4—114no—
459C2×C4⋊C4—222no—
460C2×C4⋊C4—221no—
461C2×C4⋊C4—228no—
462C2×C4⋊C4—222no—
463C2×C4⋊C4—222no—
464C2×C4⋊C4C22×D1111yescharacteristic
465C2×C4⋊C4C22×D1112yes—
466C2×C4⋊C4C22×D1114yescomplemented
467C2×C22⋊C4—21no—
468C2×C22⋊C4—228no—
469C2×C22⋊C4—221no—
470C2×C22⋊C4—228no—
471C2×C22⋊C4—222no—
472C2×C22⋊C4—222no—
473C2×C22⋊C4—221no—
474C2×C22⋊C4—221no—
475#107—118no—
476#107C22×D1118yescomplemented
477#103—118no—
478#103—118no—
479#102—118no—
480#102C22×D1118yescomplemented
481C22⋊C8—114no—
482C22⋊C8—118no—
483C22⋊C8C22×D1114yescomplemented
484C2×C11—24no—
485C2×C11—82no—
486C2×C11#319314yescomplemented
487C2×C11C2×#53411yescharacteristic
488C2×C11C22×AGL(1,ℤ/8)11yescharacteristic
489C2×C11C22×#13711yescharacteristic
490D11—24no—
491D11—42no—
492D11—82no—
493C24—21no—
494C24—111no—
495C24—111no—
496C24—114no—
497C24—224no—
498C24—224no—
499C24—224no—
500C24—221no—
501C24—442no—
502C24—444no—
503C24—444no—
504C24—444no—
505C24D4×D1111yescharacteristic
506C2×Q8—114no—
507C2×Q8—224no—
508C2×Q8—222no—
509C2×Q8—224no—
510C2×Q8—224no—
511C2×Q8—448no—
512C2×Q8—444no—
513C2×Q8—448no—
514C2×D4—24no—
515C2×D4—21no—
516C2×D4—24no—
517C2×D4—44no—
518C2×D4—112no—
519C2×D4—224no—
520C2×D4—224no—
521C2×D4—224no—
522C2×D4—224no—
523C2×D4—221no—
524C2×D4—224no—
525C2×D4—444no—
526C2×D4—448no—
527C2×D4—448no—
528C2×D4—444no—
529C2×D4—4432no—
530C2×D4—444no—
531C2×D4—444no—
532C2×D4C23×D1112yes—
533C22×C4—24no—
534C22×C4—24no—
535C22×C4—21no—
536C22×C4—22no—
537C22×C4—44no—
538C22×C4—111no—
539C22×C4—111no—
540C22×C4—114no—
541C22×C4—112no—
542C22×C4—112no—
543C22×C4—112no—
544C22×C4—112no—
545C22×C4—114no—
546C22×C4—114no—
547C22×C4—224no—
548C22×C4—224no—
549C22×C4—224no—
550C22×C4—224no—
551C22×C4—221no—
552C22×C4—222no—
553C22×C4—448no—
554C22×C4—448no—
555C22×C4—442no—
556C22×C4—442no—
557C22×C4—444no—
558C22×C4—442no—
559C22×C4—444no—
560C22×C4D4×D1112yes—
561C22×C4D4×D1111yescharacteristic
562C22×C4C23×D1112yes—
563C22×C4C23×D1111yescharacteristic
564SD16—448no—
565SD16—448no—
566M16—448no—
567C2×C8—24no—
568C2×C8—114no—
569C2×C8—224no—
570C2×C8C23×D1114yes—
571C4⋊C4—22no—
572C4⋊C4—24no—
573C4⋊C4—21no—
574C4⋊C4—112no—
575C4⋊C4—224no—
576C4⋊C4—228no—
577C4⋊C4—228no—
578C4⋊C4—221no—
579C4⋊C4C23×D1114yes—
580C4⋊C4C23×D1112yes—
581C22⋊C4—24no—
582C22⋊C4—224no—
583C22⋊C4—228no—
584C22⋊C4—228no—
585C22⋊C4—224no—
586C22⋊C4—224no—
587C11C2×#319311yescharacteristic, complemented, Sylow
588C23—22no—
589C23—22no—
590C23—22no—
591C23—42no—
592C23—42no—
593C23—42no—
594C23—114no—
595C23—112no—
596C23—112no—
597C23—228no—
598C23—222no—
599C23—222no—
600C23—228no—
601C23—222no—
602C23—222no—
603C23—222no—
604C23—222no—
605C23—444no—
606C23—4416no—
607C23—448no—
608C23—448no—
609C23—448no—
610C23—442no—
611C23—442no—
612C23—442no—
613C23—8816no—
614C23#6696414yes—
615C23C2×D4×D1112yes—
616C23C2×D4×D1111yescharacteristic
617Q8—224no—
618Q8—224no—
619Q8—448no—
620Q8—444no—
621D4—24no—
622D4—48no—
623D4—42no—
624D4—224no—
625D4—448no—
626D4—448no—
627D4—448no—
628D4—448no—
629D4—442no—
630C2×C4—22no—
631C2×C4—24no—
632C2×C4—24no—
633C2×C4—22no—
634C2×C4—24no—
635C2×C4—48no—
636C2×C4—44no—
637C2×C4—42no—
638C2×C4—112no—
639C2×C4—112no—
640C2×C4—222no—
641C2×C4—222no—
642C2×C4—224no—
643C2×C4—224no—
644C2×C4—224no—
645C2×C4—224no—
646C2×C4—222no—
647C2×C4—224no—
648C2×C4—444no—
649C2×C4—444no—
650C2×C4—448no—
651C2×C4—444no—
652C2×C4—448no—
653C2×C4—442no—
654C2×C4—444no—
655C2×C4C2×D4×D1112yes—
656C2×C4C2×D4×D1111yescharacteristic
657C2×C4#6704214yes—
658C2×C4C24×D1111yescharacteristic
659C8—24no—
660C8—224no—
661C22—22no—
662C22—28no—
663C22—22no—
664C22—42no—
665C22—42no—
666C22—42no—
667C22—84no—
668C22—114no—
669C22—222no—
670C22—228no—
671C22—222no—
672C22—222no—
673C22—222no—
674C22—222no—
675C22—4416no—
676C22—444no—
677C22—442no—
678C22—442no—
679C22—442no—
680C22—8816no—
681C22—884no—
682C22#1062318412yes—
683C22C2×#6696414yes—
684C22C2×#6696412yes—
685C22D11×#13712yes—
686C22C22×D4×D1111yescharacteristic
687C4—22no—
688C4—44no—
689C4—42no—
690C4—222no—
691C4—222no—
692C4—444no—
693C4—442no—
694C4#1062318412yes—
695C4C2×#6704212yes—
696C2—24no—
697C2—82no—
698C2—224no—
699C2—442no—
700C2—882no—
701C2#1307942414yesdirect product factor
702C2C2×#1062318411yescharacteristic
703C2C22×#6696411yescharacteristic
704C2C2×D11×#13711yescharacteristic
subgroupG/H
centerC23C2×D4×D11
commutator, cosocleC2×C4×C11C25
FrattiniC2×C4C24×D11
FittingC2×C11×#480C2
socleC23×C11C22×D4
prime radicalC2×D11×#121C2
hypercenterC2×#480D11
hypocenterC11C2×#3193
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C23 ◁ C23×C4 ◁ C2×#480

Complements

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

NH ≅ G/Ntype
1. C22×#66950C2semidirect
3. #13079424C2direct (N × H)
4. C2×#10622497C2semidirect
5. C2×#10622580C2semidirect
6. C2×#10622499C2semidirect
7. C2×#10622393C2semidirect
8. C2×#10622351C2semidirect
9. C2×#10622653C2semidirect
10. C2×#10622389C2semidirect
11. C2×#10622339C2semidirect
12. C2×C11×#480C2semidirect
16. C23×Dic22C22semidirect
18. C22×C11×C4⋊C4C22semidirect
21. C22×#4324C22semidirect
25. C22×#4314C22semidirect
26. C22×#4313C22semidirect
33. C2×#66950C22semidirect
34. C2×#66950C22semidirect
39. C11×#480C22semidirect
40. C2×C11×#107C22semidirect
41. C2×C11×#102C22semidirect
42. C2×C11×C22⋊C8C22semidirect
43. C2×C22⋊(C11⋊C8)C22semidirect
45. C2×#66880C22semidirect
46. #10622653C22semidirect
47. C2×#66874C22semidirect
48. #10622580C22semidirect
49. C2×#66873C22semidirect
50. C2×#66871C22semidirect
51. #10622499C22semidirect
52. #10622497C22semidirect
53. #10622393C22semidirect
54. #10622389C22semidirect
55. #10622351C22semidirect
56. #10622339C22semidirect
87. C22×Dic22C23semidirect
95. C2×C11×C4⋊C4C23semidirect
102. C2×#4324C23semidirect
117. C2×#4314C23semidirect
119. C2×#4313C23semidirect
125. #66950C23semidirect
132. C11×#107C23semidirect
133. C11×#102C23semidirect
134. C11×C22⋊C8C23semidirect
135. C22⋊(C11⋊C8)C23semidirect
137. #66880C23semidirect
138. #66874C23semidirect
139. #66873C23semidirect
140. #66871C23semidirect
241. C2×#480D11semidirect
344. C22×C4⋊C4C2×D11semidirect
349. #480C2×D11semidirect
356. C2×#107C2×D11semidirect
360. C2×#102C2×D11semidirect
364. C2×C22⋊C8C2×D11semidirect
466. C2×C4⋊C4C22×D11semidirect
476. #107C22×D11semidirect
480. #102C22×D11semidirect
483. C22⋊C8C22×D11semidirect
486. C2×C11#3193semidirect
587. C11C2×#3193semidirect
701. C2#13079424direct (N × H)

Maximal subgroups

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

subgroupindex
C22×#669502
C2×D11×#1212
#130794242
C2×#106224972
C2×#106225802
C2×#106224992
C2×#106223932
C2×#106223512
C2×#106226532
C2×#106223892
C2×#106223392
C2×C11×#4802
C2×#319311