Finite Group Databasebeta

← C2×#13078244 #15620929

Subgroups — C2×#13078244 #15620929

Order 2816.

2898 conjugacy classes of subgroups.

The subgroup lattice has 722 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#66995C211yesmaximal, characteristic, complemented
2C22×M16×D11C211yesmaximal, characteristic, complemented
3C2×#10623055C211yesmaximal, characteristic
4C22×#66999C211yesmaximal, characteristic, complemented
5#13078244C2116yesmaximal, direct product factor
6C2×#10622429C212yesmaximal, complemented
7C2×#10622425C212yesmaximal, complemented
8C2×#10622426C212yesmaximal, complemented
9C2×#10622420C212yesmaximal, complemented
10C2×#10622608C211yesmaximal, characteristic, complemented
11C2×#10622746C211yesmaximal, characteristic, complemented
12C2×C11×#419C211yesmaximal, characteristic, complemented
13C23×Q8×C11C2211yescharacteristic
14C22×#4339C2211yescharacteristic
15C23×C4×D11C2211yescharacteristic
16C22×C11×M16C2211yescharacteristic
17C2×C11×#117C2211yescharacteristic
18C2×#66999—21no—
19C2×#66999—21no—
20C2×#66999—24no—
21C2×#66999C2212yes—
22C2×#66999C2212yes—
23C2×#66999C2218yescomplemented
24C22×#4326C2212yescomplemented
25C2×#66995—28no—
26C2×#66995C2218yescomplemented
27C22×#4325C2212yescomplemented
28C22×(C2×D11)⋊C4—21no—
29C22×C4⋊Dic11C2211yescharacteristic
30C22×Dic11⋊C4—21no—
31C22×#4318C2211yescharacteristic
32C2×M16×D11—28no—
33C2×M16×D11C2218yescomplemented
34C22×#4313C2212yes—
35C22×C8×D11C2212yes—
36#10623055—24no—
37#10623055C2218yes—
38C2×#66950C2211yescharacteristic
39C2×#66950C2211yescharacteristic
40C2×#66948C2211yescharacteristic
41C2×#66948C2211yescharacteristic
42C2×#66939—21no—
43C2×#66935—21no—
44C2×C4×D44—21no—
45C2×C4×D44—21no—
46C11×#419C2218yescomplemented
47C2×C11×#103C2212yescomplemented
48C2×C11×#103C2212yescomplemented
49#10622746C2218yescomplemented
50C2×#66885C2212yescomplemented
51C2×#66880C2212yescomplemented
52#10622608C2218yescomplemented
53C2×#66872C2212yescomplemented
54C2×#66871C2212yescomplemented
55#10622429C22116yescomplemented
56#10622426C22116yescomplemented
57#10622425C22116yescomplemented
58#10622420C22116yescomplemented
59C24×D11D411yescharacteristic
60C22×Q8×C11—21no—
61C22×Q8×C11—22no—
62C22×Q8×C11—24no—
63C22×Q8×C11—24no—
64C22×Q8×C11C2312yes—
65C22×Q8×C11C2314yes—
66C23×C4×C11—21no—
67C23×C4×C11C2311yescharacteristic
68C22×C22⋊D11—21no—
69C23×Dic11—21no—
70C23×Dic11D411yescharacteristic
71C2×#4339—22no—
72C2×#4339—24no—
73C2×#4339—24no—
74C2×#4339C2314yes—
75C22×D44—21no—
76C22×D44—21no—
77C22×D44C2311yescharacteristic
78C22×C4×D11—24no—
79C22×C4×D11—24no—
80C22×C4×D11—21no—
81C22×C4×D11D411yescharacteristic
82C22×C4×D11D411yescharacteristic
83C22×C4×D11D414yes—
84C22×C4×D11C2311yescharacteristic
85C22×C4×D11C2311yescharacteristic
86C22×C4×D11C2314yes—
87C22×Dic22C2311yescharacteristic
88C2×C11×M16—24no—
89C2×C11×M16C2314yes—
90C22×C8×C11C2312yes—
91C11×#117—22no—
92C11×#117C2314yes—
93C2×C11×C4⋊C4C2311yescharacteristic
94C2×C11×C4⋊C4C2311yescharacteristic
95C2×C11×C22⋊C4—21no—
96C2×C42×C11—21no—
97#66999—24no—
98#66999—24no—
99#66999—28no—
100#66999—28no—
101#66999C2318yes—
102#66999C2318yes—
103C2×#4326—28no—
104C2×#4326C2318yescomplemented
105#66995—232no—
106C2×#4325—28no—
107C2×#4325C2318yescomplemented
108C2×(C2×D11)⋊C4—21no—
109C2×(C2×D11)⋊C4—21no—
110C2×(C2×D11)⋊C4—22no—
111C2×(C2×D11)⋊C4—22no—
112C2×(C2×D11)⋊C4—28no—
113C2×(C2×D11)⋊C4—21no—
114C2×(C2×D11)⋊C4—21no—
115C2×C4⋊Dic11—21no—
116C2×C4⋊Dic11—22no—
117C2×C4⋊Dic11—21no—
118C2×C4⋊Dic11—21no—
119C2×C4⋊Dic11C2312yes—
120C2×C4⋊Dic11C2314yes—
121C2×Dic11⋊C4—22no—
122C2×Dic11⋊C4—22no—
123C2×Dic11⋊C4—28no—
124C2×#4318D418yescomplemented
125C2×#4318C2314yes—
126C22×C11⋊C8C2312yes—
127M16×D11—232no—
128C2×#4313—28no—
129C2×#4313C2318yes—
130C2×C8×D11—28no—
131C2×C8×D11C2318yes—
132#66950—22no—
133#66950—22no—
134#66950C2314yes—
135#66950C2314yes—
136#66948—22no—
137#66948—22no—
138#66948C2314yes—
139#66948C2314yes—
140#66939—28no—
141#66935—28no—
142C4×D44—28no—
143C4×D44—28no—
144C11×#103C2318yescomplemented
145C11×#103C2318yescomplemented
146#66885C2318yescomplemented
147#66880C2318yescomplemented
148#66872C2318yescomplemented
149#66871C2318yescomplemented
150C2×#3056—111nomaximal, Sylow
151C24×C11C2×D411yescharacteristic
152C23×D11—24no—
153C23×D11—24no—
154C23×D11—21no—
155C23×D11—42no—
156C23×D11C2×D411yescharacteristic
157C23×D11C2×D414yes—
158C23×D11C2×D411yescharacteristic
159C2×Q8×C11—24no—
160C2×Q8×C11—22no—
161C2×Q8×C11—24no—
162C2×Q8×C11—28no—
163C2×Q8×C11—24no—
164C2×Q8×C11—28no—
165C2×Q8×C11—44no—
166C2×Q8×C11—48no—
167C2×Q8×C11C2414yes—
168C22×C4×C11—24no—
169C22×C4×C11—22no—
170C22×C4×C11—21no—
171C22×C4×C11—21no—
172C22×C4×C11—44no—
173C22×C4×C11C2×D411yescharacteristic
174C22×C4×C11C2×D412yes—
175C22×C4×C11C2×D414yes—
176C22×C4×C11#4114yes—
177C22×C4×C11C2411yescharacteristic
178C22×C4×C11C2412yes—
179C2×C22⋊D11—24no—
180C2×C22⋊D11—44no—
181C22×Dic11—24no—
182C22×Dic11—24no—
183C22×Dic11—22no—
184C22×Dic11—21no—
185C22×Dic11—44no—
186C22×Dic11C2×D414yes—
187C22×Dic11C2×D411yescharacteristic
188C22×Dic11C2×D411yescharacteristic
189#4339—28no—
190#4339—28no—
191#4339—48no—
192C2×D44—24no—
193C2×D44—24no—
194C2×D44—21no—
195C2×D44—22no—
196C2×D44—22no—
197C2×D44—44no—
198C2×D44—44no—
199C2×D44C2412yes—
200C2×C4×D11—24no—
201C2×C4×D11—24no—
202C2×C4×D11—216no—
203C2×C4×D11—22no—
204C2×C4×D11—22no—
205C2×C4×D11—28no—
206C2×C4×D11—24no—
207C2×C4×D11—22no—
208C2×C4×D11—22no—
209C2×C4×D11—28no—
210C2×C4×D11—44no—
211C2×C4×D11C2×D414yes—
212C2×C4×D11C2×D414yes—
213C2×C4×D11C2×D412yes—
214C2×C4×D11C2×D412yes—
215C2×C4×D11C2412yes—
216C2×C4×D11C2412yes—
217C2×Dic22—22no—
218C2×Dic22—21no—
219C2×Dic22—22no—
220C2×Dic22C2412yes—
221C11×M16—28no—
222C2×C8×C11—24no—
223C2×C8×C11C2414yes—
224C11×C4⋊C4—21no—
225C11×C4⋊C4—21no—
226C11×C4⋊C4C2412yes—
227C11×C4⋊C4C2412yes—
228C11×C22⋊C4—24no—
229C42×C11—24no—
230#4326—216no—
231#4325—216no—
232(C2×D11)⋊C4—24no—
233(C2×D11)⋊C4—24no—
234(C2×D11)⋊C4—24no—
235(C2×D11)⋊C4—24no—
236(C2×D11)⋊C4—28no—
237(C2×D11)⋊C4—28no—
238C4⋊Dic11—24no—
239C4⋊Dic11—24no—
240C4⋊Dic11—24no—
241C4⋊Dic11—22no—
242C4⋊Dic11C2414yes—
243Dic11⋊C4—28no—
244Dic11⋊C4—28no—
245#4318C2×D4116yescomplemented
246C2×C11⋊C8C2×D418yes—
247C2×C11⋊C8C2414yes—
248#4313—216no—
249C8×D11—216no—
250C22×#137—111no—
251C23×M16—111no—
252C2×#525—111no—
253C22×C22⋊Q8—111no—
254#3056—1116no—
255C2×#470—112no—
256C2×#468—112no—
257C2×#467—112no—
258C2×#465—112no—
259C2×#428—111no—
260C2×#417—111no—
261C2×#419D1111yescharacteristic, complemented
262C23×C11—22no—
263C23×C11—22no—
264C23×C11#12114yes—
265C23×C11C22×D412yes—
266C23×C11C22×D411yescharacteristic
267C22×D11—22no—
268C22×D11—22no—
269C22×D11—28no—
270C22×D11—22no—
271C22×D11—22no—
272C22×D11—22no—
273C22×D11—28no—
274C22×D11—22no—
275C22×D11—44no—
276C22×D11—416no—
277C22×D11—42no—
278C22×D11—42no—
279C22×D11—42no—
280C22×D11#13714yescomplemented
281C22×D11C22×D412yes—
282C22×D11C22×D412yes—
283Q8×C11—24no—
284Q8×C11—24no—
285Q8×C11—44no—
286Q8×C11—48no—
287C2×C4×C11—24no—
288C2×C4×C11—22no—
289C2×C4×C11—22no—
290C2×C4×C11—48no—
291C2×C4×C11—44no—
292C2×C4×C11—42no—
293C2×C4×C11—42no—
294C2×C4×C11#12114yes—
295C2×C4×C11#12118yes—
296C2×C4×C11C22×D412yes—
297C2×C4×C11C22×D411yescharacteristic
298C2×C4×C11C22×D412yes—
299C2×C4×C11C22×D414yes—
300C2×C4×C11C2×#4112yes—
301C2×C4×C11C2×#4114yes—
302C2×C4×C11C2511yescharacteristic
303C22⋊D11—48no—
304C2×Dic11—28no—
305C2×Dic11—22no—
306C2×Dic11—22no—
307C2×Dic11—24no—
308C2×Dic11—22no—
309C2×Dic11—48no—
310C2×Dic11—42no—
311C2×Dic11—44no—
312C2×Dic11C22×D412yes—
313C2×Dic11C22×D412yes—
314D44—22no—
315D44—22no—
316D44—48no—
317D44—48no—
318D44—42no—
319C4×D11—24no—
320C4×D11—24no—
321C4×D11—28no—
322C4×D11—28no—
323C4×D11—22no—
324C4×D11—22no—
325C4×D11—22no—
326C4×D11—22no—
327C4×D11—48no—
328Dic22—22no—
329Dic22—22no—
330Dic22—42no—
331C8×C11—24no—
332C11⋊C8C22×D418yes—
333C22×#41—111no—
334C23×Q8C2×D1111yescharacteristic
335C24×C4—111no—
336C2×#137—118no—
337C2×#137—228no—
338C22×Q16—112no—
339C22×SD16—112no—
340C22×M16—111no—
341C22×M16—118no—
342C22×M16—112no—
343C22×M16—228no—
344C22×M16C2×D1111yescharacteristic
345C23×C8—112no—
346#525—118no—
347#525—224no—
348C2×#123—221no—
349C2×C22⋊Q8—112no—
350C2×C22⋊Q8—112no—
351C2×C22⋊Q8—118no—
352C2×C22⋊Q8—111no—
353C2×C22⋊Q8—111no—
354C2×C22⋊Q8—221no—
355C2×C22⋊Q8—221no—
356C2×C22⋊Q8—224no—
357C2×#121—111no—
358C2×#121—111no—
359C2×#120—221no—
360C2×C4×D4—221no—
361C2×C4×D4—221no—
362C2×#117C2×D1111yescharacteristic
363C22×C4⋊C4—111no—
364C22×C4⋊C4—221no—
365C22×C22⋊C4—221no—
366#470—1116no—
367#468—1116no—
368#467—1116no—
369#465—1116no—
370#428—118no—
371C2×#107—112no—
372C2×#106—112no—
373#419C2×D1118yescomplemented
374#417—118no—
375C2×#103—112no—
376C2×#103C2×D1112yescomplemented
377C2×#103C2×D1112yescomplemented
378C2×#102—112no—
379C22×C11—28no—
380C22×C11—22no—
381C22×C11—22no—
382C22×C11C2×#12114yes—
383C22×C11C2×#12112yes—
384C22×C11C2×#13712yes—
385C22×C11#57512yes—
386C22×C11C23×D411yescharacteristic
387C2×D11—22no—
388C2×D11—28no—
389C2×D11—22no—
390C2×D11—22no—
391C2×D11—22no—
392C2×D11—22no—
393C2×D11—416no—
394C2×D11—44no—
395C2×D11—42no—
396C2×D11—42no—
397C2×D11—42no—
398C2×D11—84no—
399C2×D11C2×#13714yescomplemented
400C4×C11—44no—
401C4×C11—42no—
402C4×C11—42no—
403C4×C11C2×#12112yes—
404C4×C11C2×#12114yes—
405C4×C11C23×D411yescharacteristic
406C4×C11C22×#4111yescharacteristic
407Dic11—22no—
408Dic11—22no—
409Dic11—42no—
410Dic11—44no—
411C25—111no—
412C2×#41—114no—
413C2×#41—222no—
414C2×#41—224no—
415C2×#41—224no—
416C22×Q8—22no—
417C22×Q8—21no—
418C22×Q8—24no—
419C22×Q8—24no—
420C22×Q8—111no—
421C22×Q8C22×D1112yes—
422C22×Q8C22×D1114yes—
423C22×D4—111no—
424C22×D4—221no—
425C22×D4—221no—
426C22×D4—221no—
427C23×C4—21no—
428C23×C4—111no—
429C23×C4—111no—
430C23×C4—111no—
431C23×C4—114no—
432C23×C4—111no—
433C23×C4—111no—
434C23×C4—114no—
435C23×C4—224no—
436C23×C4—224no—
437C23×C4—221no—
438C23×C4—221no—
439C23×C4C22×D1111yescharacteristic
440#137—2232no—
441C2×Q16—118no—
442C2×Q16—228no—
443C2×SD16—118no—
444C2×SD16—228no—
445C2×M16—24no—
446C2×M16—118no—
447C2×M16—114no—
448C2×M16—118no—
449C2×M16—228no—
450C2×M16—2232no—
451C2×M16C22×D1114yes—
452C22×C8—112no—
453C22×C8—118no—
454C22×C8—228no—
455C22×C8C22×D1112yes—
456#123—228no—
457C22⋊Q8—118no—
458C22⋊Q8—118no—
459C22⋊Q8—114no—
460C22⋊Q8—114no—
461C22⋊Q8—222no—
462C22⋊Q8—222no—
463C22⋊Q8—228no—
464C22⋊Q8—228no—
465C22⋊Q8—224no—
466C22⋊Q8—224no—
467#121—114no—
468#121—114no—
469#121—222no—
470#121—222no—
471#120—228no—
472C4×D4—228no—
473C4×D4—228no—
474#117—22no—
475#117C22×D1114yes—
476C2×C4⋊C4—112no—
477C2×C4⋊C4—114no—
478C2×C4⋊C4—228no—
479C2×C4⋊C4—222no—
480C2×C4⋊C4—222no—
481C2×C4⋊C4—221no—
482C2×C4⋊C4—221no—
483C2×C4⋊C4—222no—
484C2×C4⋊C4—221no—
485C2×C4⋊C4C22×D1111yescharacteristic
486C2×C4⋊C4C22×D1111yescharacteristic
487C2×C22⋊C4—21no—
488C2×C22⋊C4—221no—
489C2×C22⋊C4—221no—
490C2×C22⋊C4—228no—
491C2×C22⋊C4—222no—
492C2×C22⋊C4—222no—
493C2×C22⋊C4—221no—
494C2×C22⋊C4—221no—
495C2×C42—21no—
496#107—118no—
497#106—118no—
498#103—118no—
499#103C22×D1118yescomplemented
500#103C22×D1118yescomplemented
501#102—118no—
502C2×C11—24no—
503C2×C11#305614yescomplemented
504C2×C11C22×#12111yescharacteristic
505C2×C11C22×#13711yescharacteristic
506C2×C11C2×#57511yescharacteristic
507D11—24no—
508D11—42no—
509D11—82no—
510C24—111no—
511C24—111no—
512C24—114no—
513C24—224no—
514C24—224no—
515C24—221no—
516C24—442no—
517C24D4×D1111yescharacteristic
518#41—228no—
519#41—228no—
520#41—448no—
521C2×Q8—24no—
522C2×Q8—22no—
523C2×Q8—24no—
524C2×Q8—28no—
525C2×Q8—24no—
526C2×Q8—28no—
527C2×Q8—44no—
528C2×Q8—48no—
529C2×Q8—112no—
530C2×Q8—221no—
531C2×Q8—222no—
532C2×Q8—222no—
533C2×Q8C23×D1114yes—
534C2×D4—112no—
535C2×D4—224no—
536C2×D4—224no—
537C2×D4—224no—
538C2×D4—222no—
539C2×D4—222no—
540C2×D4—221no—
541C2×D4—444no—
542C2×D4—444no—
543C2×D4—444no—
544C22×C4—24no—
545C22×C4—21no—
546C22×C4—21no—
547C22×C4—22no—
548C22×C4—44no—
549C22×C4—114no—
550C22×C4—111no—
551C22×C4—111no—
552C22×C4—114no—
553C22×C4—114no—
554C22×C4—112no—
555C22×C4—112no—
556C22×C4—112no—
557C22×C4—112no—
558C22×C4—224no—
559C22×C4—224no—
560C22×C4—224no—
561C22×C4—2216no—
562C22×C4—222no—
563C22×C4—222no—
564C22×C4—228no—
565C22×C4—222no—
566C22×C4—228no—
567C22×C4—222no—
568C22×C4—224no—
569C22×C4—222no—
570C22×C4—221no—
571C22×C4—224no—
572C22×C4—444no—
573C22×C4—444no—
574C22×C4#433914yes—
575C22×C4D4×D1112yes—
576C22×C4D4×D1111yescharacteristic
577C22×C4D4×D1114yes—
578C22×C4C23×D1112yes—
579C22×C4C23×D1111yescharacteristic
580Q16—2216no—
581SD16—2216no—
582M16—28no—
583M16—1116no—
584M16—2216no—
585C2×C8—24no—
586C2×C8—118no—
587C2×C8—114no—
588C2×C8—2216no—
589C2×C8C23×D1114yes—
590C4⋊C4—21no—
591C4⋊C4—21no—
592C4⋊C4—114no—
593C4⋊C4—228no—
594C4⋊C4—228no—
595C4⋊C4—224no—
596C4⋊C4—224no—
597C4⋊C4—224no—
598C4⋊C4—222no—
599C4⋊C4C23×D1112yes—
600C4⋊C4C23×D1112yes—
601C22⋊C4—24no—
602C22⋊C4—224no—
603C22⋊C4—224no—
604C22⋊C4—228no—
605C22⋊C4—228no—
606C22⋊C4—224no—
607C22⋊C4—224no—
608C42—24no—
609C11C2×#305611yescharacteristic, complemented, Sylow
610C23—22no—
611C23—22no—
612C23—114no—
613C23—112no—
614C23—112no—
615C23—228no—
616C23—222no—
617C23—222no—
618C23—228no—
619C23—222no—
620C23—222no—
621C23—222no—
622C23—222no—
623C23—444no—
624C23—4416no—
625C23—442no—
626C23—442no—
627C23—442no—
628C23#6693714yes—
629C23C2×D4×D1112yes—
630C23C2×D4×D1111yescharacteristic
631Q8—24no—
632Q8—24no—
633Q8—48no—
634Q8—44no—
635Q8—222no—
636Q8—222no—
637Q8—442no—
638D4—222no—
639D4—222no—
640D4—448no—
641D4—448no—
642D4—448no—
643D4—442no—
644C2×C4—22no—
645C2×C4—22no—
646C2×C4—24no—
647C2×C4—48no—
648C2×C4—44no—
649C2×C4—42no—
650C2×C4—42no—
651C2×C4—112no—
652C2×C4—112no—
653C2×C4—228no—
654C2×C4—222no—
655C2×C4—222no—
656C2×C4—228no—
657C2×C4—228no—
658C2×C4—224no—
659C2×C4—224no—
660C2×C4—222no—
661C2×C4—222no—
662C2×C4—222no—
663C2×C4—222no—
664C2×C4—224no—
665C2×C4—222no—
666C2×C4—448no—
667C2×C4—442no—
668C2×C4—444no—
669C2×C4—448no—
670C2×C4#6693714yes—
671C2×C4#6693718yes—
672C2×C4C2×#433912yes—
673C2×C4C2×#433914yes—
674C2×C4C2×D4×D1112yes—
675C2×C4C2×D4×D1111yescharacteristic
676C2×C4C2×D4×D1112yes—
677C2×C4C2×D4×D1114yes—
678C2×C4C24×D1111yescharacteristic
679C8—24no—
680C8—118no—
681C22—22no—
682C22—22no—
683C22—28no—
684C22—114no—
685C22—222no—
686C22—228no—
687C22—222no—
688C22—222no—
689C22—222no—
690C22—222no—
691C22—4416no—
692C22—444no—
693C22—442no—
694C22—442no—
695C22—442no—
696C22—884no—
697C22C2×#6693714yes—
698C22C2×#6693712yes—
699C22D11×#13712yes—
700C22#1062330812yes—
701C22C22×D4×D1111yescharacteristic
702C4—42no—
703C4—42no—
704C4—44no—
705C4—222no—
706C4—222no—
707C4—444no—
708C4—442no—
709C4C2×#6693714yes—
710C4C2×#6693712yes—
711C4C22×#433911yescharacteristic
712C4C22×D4×D1111yescharacteristic
713C2—24no—
714C2—224no—
715C2—442no—
716C2—882no—
717C2#1307824414yesdirect product factor
718C2C22×#6693711yescharacteristic
719C2C2×D11×#13711yescharacteristic
720C2C2×#1062330811yescharacteristic
subgroupG/H
centerC23C2×D4×D11
commutator, cosocleC2×C4×C11C25
FrattiniC2×C4C24×D11
FittingC2×C11×#419C2
socleC23×C11C22×D4
prime radicalC2×#10623055C2
hypercenterC2×#419D11
hypocenterC11C2×#3056
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C23 ◁ C23×C4 ◁ C2×#419

Complements

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

NH ≅ G/Ntype
1. C22×#66995C2semidirect
2. C22×M16×D11C2semidirect
4. C22×#66999C2semidirect
5. #13078244C2direct (N × H)
6. C2×#10622429C2semidirect
7. C2×#10622425C2semidirect
8. C2×#10622426C2semidirect
9. C2×#10622420C2semidirect
10. C2×#10622608C2semidirect
11. C2×#10622746C2semidirect
12. C2×C11×#419C2semidirect
23. C2×#66999C22semidirect
24. C22×#4326C22semidirect
26. C2×#66995C22semidirect
27. C22×#4325C22semidirect
33. C2×M16×D11C22semidirect
46. C11×#419C22semidirect
47. C2×C11×#103C22semidirect
48. C2×C11×#103C22semidirect
49. #10622746C22semidirect
50. C2×#66885C22semidirect
51. C2×#66880C22semidirect
52. #10622608C22semidirect
53. C2×#66872C22semidirect
54. C2×#66871C22semidirect
55. #10622429C22semidirect
56. #10622426C22semidirect
57. #10622425C22semidirect
58. #10622420C22semidirect
104. C2×#4326C23semidirect
107. C2×#4325C23semidirect
124. C2×#4318D4semidirect
144. C11×#103C23semidirect
145. C11×#103C23semidirect
146. #66885C23semidirect
147. #66880C23semidirect
148. #66872C23semidirect
149. #66871C23semidirect
245. #4318C2×D4semidirect
261. C2×#419D11semidirect
280. C22×D11#137semidirect
373. #419C2×D11semidirect
376. C2×#103C2×D11semidirect
377. C2×#103C2×D11semidirect
399. C2×D11C2×#137semidirect
499. #103C22×D11semidirect
500. #103C22×D11semidirect
503. C2×C11#3056semidirect
609. C11C2×#3056semidirect
717. C2#13078244direct (N × H)

Maximal subgroups

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

subgroupindex
C22×#669952
C22×M16×D112
C2×#106230552
C22×#669992
#130782442
C2×#106224292
C2×#106224252
C2×#106224262
C2×#106224202
C2×#106226082
C2×#106227462
C2×C11×#4192
C2×#305611