Finite Group Databasebeta

← C2×#13070261 #14906499

Subgroups — C2×#13070261 #14906499

Order 2816.

1494 conjugacy classes of subgroups.

The subgroup lattice has 790 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10623184C211yesmaximal, characteristic
2C2×D11×#100C211yesmaximal, characteristic, complemented
3C2×D11×#99C211yesmaximal, characteristic, complemented
4#13070261C218yesmaximal, direct product factor
5C2×#10622177C211yesmaximal, characteristic, complemented
6C2×#10622113C211yesmaximal, characteristic, complemented
7C2×#10622109C211yesmaximal, characteristic, complemented
8C2×C11×#352C211yesmaximal, characteristic, complemented
9C22×D4×D11C2211yescharacteristic
10C23×D44C411yescharacteristic, complemented
11C2×C11×#123C2211yescharacteristic
12C2×#66990C2211yescharacteristic
13C2×#66982C411yescharacteristic, complemented
14C2×M16×D11—21no—
15#10623184—22no—
16#10623184—22no—
17#10623184C414yescomplemented
18#10623184C2214yes—
19C2×#66948—21no—
20C2×#66947—21no—
21C2×#66937—21no—
22C2×#66935—21no—
23C2×#66935C411yescharacteristic, complemented
24C2×C22⋊C4×D11—21no—
25C2×C22⋊C4×D11C411yescharacteristic, complemented
26C2×C11×#100C2211yescharacteristic
27C2×C11×#99C2211yescharacteristic
28C2×#66898C2211yescharacteristic
29C2×#66897C2211yescharacteristic
30C2×#66887—21no—
31C2×#66870—21no—
32D11×#100—22no—
33D11×#100C2214yescomplemented
34D11×#99—22no—
35D11×#99C2214yescomplemented
36C11×#352C2214yescomplemented
37#10622177C2214yescomplemented
38#10622113C2214yescomplemented
39#10622109C2214yescomplemented
40C24×D11C2×C411yescharacteristic
41C24×D11C2×C411yescharacteristic, complemented
42C24×D11D411yescharacteristic
43C22×D4×C11C2311yescharacteristic
44C23×C4×C11C2×C411yescharacteristic, complemented
45C22×C22⋊D11—21no—
46C22×C22⋊D11C2×C411yescharacteristic
47C22×C22⋊D11D411yescharacteristic
48C2×D4×D11—41no—
49C2×D4×D11—41no—
50C2×D4×D11—42no—
51C2×D4×D11C2×C412yes—
52C2×D4×D11D412yes—
53C2×D4×D11D412yes—
54C2×D4×D11C2312yes—
55C22×D44—21no—
56C22×D44—21no—
57C22×D44—22no—
58C22×D44—21no—
59C22×D44—41no—
60C22×D44—41no—
61C22×D44—42no—
62C22×D44C2×C414yescomplemented
63C22×D44D411yescharacteristic
64C22×C4×D11—21no—
65C22×C4×D11—41no—
66C22×C4×D11D411yescharacteristic
67C2×C11×M16—21no—
68C11×#123—21no—
69C11×#123—21no—
70C11×#123C2×C412yescomplemented
71C11×#123C2312yes—
72C2×C11×C4⋊C4—21no—
73C2×C11×C22⋊C4—21no—
74C2×C11×C22⋊C4—21no—
75C2×C11×C22⋊C4C2×C411yescharacteristic, complemented
76C2×C22⋊Dic11—21no—
77C2×C22⋊Dic11C2×C411yescharacteristic, complemented
78#66990—21no—
79#66990—21no—
80#66990C2×C412yescomplemented
81#66990C2312yes—
82#66982—22no—
83#66982C2×C414yescomplemented
84C2×(C2×D11)⋊C4—21no—
85C2×(C2×D11)⋊C4—21no—
86C2×(C2×D11)⋊C4—21no—
87C2×(C2×D11)⋊C4—21no—
88C2×(C2×D11)⋊C4—41no—
89C2×Dic11⋊C4—21no—
90C2×#4318—21no—
91M16×D11—24no—
92M16×D11—42no—
93C2×#4313—41no—
94C2×C8×D11—41no—
95#66948—24no—
96#66948—24no—
97#66947—24no—
98#66947—24no—
99#66937—24no—
100#66937—24no—
101#66935—24no—
102#66935—24no—
103#66935—22no—
104#66935C2×C414yescomplemented
105C22⋊C4×D11—22no—
106C22⋊C4×D11—24no—
107C22⋊C4×D11—42no—
108C22⋊C4×D11C2×C414yescomplemented
109C11×#100—21no—
110C11×#100C2312yes—
111C11×#99—21no—
112C11×#99C2312yes—
113#66898—21no—
114#66898C2312yes—
115#66897—21no—
116#66897C2312yes—
117#66887—24no—
118#66870—24no—
119C2×#2121—111nomaximal, Sylow
120C24×C11C22×C411yescharacteristic
121C24×C11C2×D411yescharacteristic
122C23×D11—21no—
123C23×D11—22no—
124C23×D11—21no—
125C23×D11—21no—
126C23×D11—21no—
127C23×D11—22no—
128C23×D11—21no—
129C23×D11—21no—
130C23×D11—41no—
131C23×D11—41no—
132C23×D11—82no—
133C23×D11—82no—
134C23×D11—82no—
135C23×D11C22⋊C411yescharacteristic
136C23×D11C22⋊C411yescharacteristic
137C23×D11C22⋊C412yes—
138C23×D11C22⋊C412yes—
139C23×D11C22⋊C411yescharacteristic
140C23×D11C22×C412yes—
141C23×D11C22×C412yescomplemented
142C23×D11C2×D412yes—
143C2×D4×C11—41no—
144C2×D4×C11—41no—
145C2×D4×C11C22×C411yescharacteristic
146C2×D4×C11C2×D411yescharacteristic
147C2×D4×C11C2×D411yescharacteristic
148C2×D4×C11C2411yescharacteristic
149C22×C4×C11—21no—
150C22×C4×C11—21no—
151C22×C4×C11—21no—
152C22×C4×C11—41no—
153C22×C4×C11—41no—
154C22×C4×C11—41no—
155C22×C4×C11C22×C412yescomplemented
156C22×C4×C11C2×D411yescharacteristic
157C2×C22⋊D11—22no—
158C2×C22⋊D11—22no—
159C2×C22⋊D11—41no—
160C2×C22⋊D11—41no—
161C2×C22⋊D11—41no—
162C2×C22⋊D11—41no—
163C2×C22⋊D11—82no—
164C2×C22⋊D11C22⋊C412yes—
165C2×C22⋊D11C22⋊C412yes—
166C2×C22⋊D11C22×C412yes—
167C2×C22⋊D11C2×D412yes—
168C22×Dic11—21no—
169C22×Dic11—41no—
170C22×Dic11C22⋊C411yescharacteristic
171D4×D11—42no—
172D4×D11—42no—
173D4×D11—42no—
174D4×D11—42no—
175D4×D11—42no—
176D4×D11—42no—
177D4×D11—42no—
178D4×D11—42no—
179C2×D44—24no—
180C2×D44—24no—
181C2×D44—24no—
182C2×D44—41no—
183C2×D44—41no—
184C2×D44—44no—
185C2×D44—44no—
186C2×D44—44no—
187C2×D44—44no—
188C2×D44—42no—
189C2×D44—42no—
190C2×D44—41no—
191C2×D44—41no—
192C2×D44—42no—
193C2×D44—82no—
194C2×D44C22⋊C412yes—
195C2×D44C2×D412yes—
196C2×C4×D11—21no—
197C2×C4×D11—21no—
198C2×C4×D11—22no—
199C2×C4×D11—24no—
200C2×C4×D11—44no—
201C2×C4×D11—82no—
202C2×C4×D11—84no—
203C2×C4×D11C22⋊C412yes—
204C2×C4×D11C2×D412yes—
205C11×M16—22no—
206C11×M16—41no—
207C2×C8×C11—41no—
208C11×C4⋊C4—22no—
209C11×C4⋊C4—22no—
210C11×C22⋊C4—21no—
211C11×C22⋊C4—22no—
212C11×C22⋊C4—22no—
213C11×C22⋊C4—22no—
214C11×C22⋊C4—41no—
215C11×C22⋊C4C22×C412yescomplemented
216C22⋊Dic11—21no—
217C22⋊Dic11—22no—
218C22⋊Dic11—41no—
219C22⋊Dic11C22×C412yescomplemented
220(C2×D11)⋊C4—24no—
221(C2×D11)⋊C4—24no—
222(C2×D11)⋊C4—24no—
223(C2×D11)⋊C4—22no—
224(C2×D11)⋊C4—22no—
225(C2×D11)⋊C4—44no—
226Dic11⋊C4—24no—
227#4318—22no—
228#4318—41no—
229C2×C11⋊C8—41no—
230#4313—44no—
231C8×D11—44no—
232C2×#534—111no—
233C22×#100—111no—
234C22×#99—111no—
235#2121—118no—
236C2×#352—111no—
237C2×#352D1111yescharacteristic, complemented
238C2×AΣL(1,𝔽16)—111no—
239C2×AΣL(1,𝔽16)—111no—
240C23×C11—21no—
241C23×C11—21no—
242C23×C11—21no—
243C23×C11—21no—
244C23×C11—42no—
245C23×C11—42no—
246C23×C11C2×C22⋊C411yescharacteristic
247C23×C11C2×C22⋊C411yescharacteristic
248C23×C11C2×C22⋊C411yescharacteristic
249C23×C11C23×C411yescharacteristic
250C23×C11C22×D411yescharacteristic
251C22×D11—21no—
252C22×D11—21no—
253C22×D11—21no—
254C22×D11—21no—
255C22×D11—22no—
256C22×D11—22no—
257C22×D11—22no—
258C22×D11—22no—
259C22×D11—22no—
260C22×D11—22no—
261C22×D11—22no—
262C22×D11—22no—
263C22×D11—22no—
264C22×D11—42no—
265C22×D11—44no—
266C22×D11—42no—
267C22×D11—42no—
268C22×D11—42no—
269C22×D11—42no—
270C22×D11—42no—
271C22×D11—41no—
272C22×D11—41no—
273C22×D11—42no—
274C22×D11—82no—
275C22×D11—82no—
276C22×D11—82no—
277C22×D11—82no—
278C22×D11—82no—
279C22×D11—84no—
280C22×D11—84no—
281C22×D11—82no—
282C22×D11—82no—
283C22×D11—82no—
284C22×D11—82no—
285C22×D11—84no—
286C22×D11—84no—
287C22×D11#9911yescharacteristic
288C22×D11#9911yescharacteristic
289C22×D11#9912yes—
290C22×D11C2×C22⋊C412yes—
291C22×D11C2×C22⋊C412yes—
292C22×D11C2×C22⋊C412yes—
293D4×C11—41no—
294D4×C11—41no—
295D4×C11—41no—
296D4×C11—41no—
297C2×C4×C11—21no—
298C2×C4×C11—21no—
299C2×C4×C11—22no—
300C2×C4×C11—22no—
301C2×C4×C11—42no—
302C2×C4×C11—42no—
303C2×C4×C11—41no—
304C2×C4×C11—41no—
305C2×C4×C11—42no—
306C2×C4×C11—42no—
307C2×C4×C11—82no—
308C2×C4×C11C2×C22⋊C411yescharacteristic
309C2×C4×C11C22×D411yescharacteristic
310C22⋊D11—42no—
311C22⋊D11—42no—
312C22⋊D11—42no—
313C22⋊D11—42no—
314C22⋊D11—82no—
315C22⋊D11—82no—
316C2×Dic11—21no—
317C2×Dic11—21no—
318C2×Dic11—22no—
319C2×Dic11—42no—
320C2×Dic11—42no—
321C2×Dic11—82no—
322C2×Dic11C2×C22⋊C412yes—
323D44—42no—
324D44—42no—
325D44—48no—
326D44—44no—
327D44—44no—
328D44—84no—
329C4×D11—22no—
330C4×D11—22no—
331C4×D11—22no—
332C4×D11—22no—
333C4×D11—84no—
334C4×D11—88no—
335C8×C11—42no—
336C11⋊C8—42no—
337C23×D4—111no—
338C23×D4—111no—
339C22×M16—221no—
340#534—114no—
341#534—114no—
342#534—222no—
343#534—222no—
344C2×#123—111no—
345C2×#123—221no—
346C2×#123C2×D1111yescharacteristic
347C2×#121—221no—
348C2×#121—221no—
349C2×#120—111no—
350C2×#120—111no—
351C2×#120—221no—
352C22×C22⋊C4—111no—
353C22×C22⋊C4—221no—
354C2×#100—111no—
355C2×#100—114no—
356C2×#100—222no—
357C2×#100—221no—
358C2×#100C2×D1111yescharacteristic
359C2×#99—111no—
360C2×#99—114no—
361C2×#99—222no—
362C2×#99—221no—
363C2×#99C2×D1111yescharacteristic
364#352—114no—
365#352C2×D1114yescomplemented
366AΣL(1,𝔽16)—114no—
367AΣL(1,𝔽16)—114no—
368C22×C11—22no—
369C22×C11—21no—
370C22×C11—21no—
371C22×C11—21no—
372C22×C11—21no—
373C22×C11—41no—
374C22×C11—41no—
375C22×C11—41no—
376C22×C11—41no—
377C22×C11—42no—
378C22×C11—42no—
379C22×C11—42no—
380C22×C11—81no—
381C22×C11C2×#9911yescharacteristic
382C22×C11C2×#9911yescharacteristic
383C22×C11C22×C22⋊C411yescharacteristic
384C2×D11—22no—
385C2×D11—22no—
386C2×D11—22no—
387C2×D11—22no—
388C2×D11—42no—
389C2×D11—42no—
390C2×D11—44no—
391C2×D11—44no—
392C2×D11—42no—
393C2×D11—42no—
394C2×D11—42no—
395C2×D11—42no—
396C2×D11—42no—
397C2×D11—42no—
398C2×D11—42no—
399C2×D11—42no—
400C2×D11—82no—
401C2×D11—82no—
402C2×D11—82no—
403C2×D11—82no—
404C2×D11—82no—
405C2×D11—82no—
406C2×D11—81no—
407C2×D11—82no—
408C2×D11—84no—
409C2×D11—82no—
410C2×D11—84no—
411C2×D11C2×#9912yes—
412C2×D11C2×#9912yes—
413C4×C11—21no—
414C4×C11—21no—
415C4×C11—42no—
416C4×C11—42no—
417C4×C11—82no—
418Dic11—22no—
419Dic11—42no—
420Dic11—82no—
421C25—111no—
422C25—111no—
423C25—111no—
424C22×D4—111no—
425C22×D4—111no—
426C22×D4—112no—
427C22×D4—112no—
428C22×D4—112no—
429C22×D4—112no—
430C22×D4—114no—
431C22×D4—111no—
432C22×D4—221no—
433C22×D4—221no—
434C22×D4—222no—
435C22×D4—221no—
436C22×D4—221no—
437C22×D4—442no—
438C22×D4—441no—
439C22×D4—441no—
440C22×D4—441no—
441C22×D4—441no—
442C22×D4—442no—
443C22×D4C22×D1111yescharacteristic
444C23×C4—111no—
445C23×C4—221no—
446C23×C4—441no—
447C23×C4C4×D1111yescharacteristic, complemented
448C2×M16—21no—
449C2×M16—224no—
450C2×M16—221no—
451C2×M16—441no—
452C2×M16—442no—
453C22×C8—441no—
454#123—21no—
455#123—21no—
456#123—114no—
457#123—224no—
458#123—224no—
459#123—222no—
460#123C4×D1112yescomplemented
461#123C22×D1112yes—
462#121—224no—
463#121—224no—
464#121—224no—
465#121—224no—
466#120—112no—
467#120—112no—
468#120—114no—
469#120—222no—
470#120—224no—
471#120—224no—
472#120—221no—
473#120—221no—
474C2×C4⋊C4—21no—
475C2×C4⋊C4—221no—
476C2×C22⋊C4—21no—
477C2×C22⋊C4—21no—
478C2×C22⋊C4—111no—
479C2×C22⋊C4—114no—
480C2×C22⋊C4—222no—
481C2×C22⋊C4—224no—
482C2×C22⋊C4—221no—
483C2×C22⋊C4—221no—
484C2×C22⋊C4—221no—
485C2×C22⋊C4—221no—
486C2×C22⋊C4—221no—
487C2×C22⋊C4—442no—
488C2×C22⋊C4—441no—
489C2×C22⋊C4C4×D1111yescharacteristic, complemented
490#100—21no—
491#100—112no—
492#100—224no—
493#100—221no—
494#100C22×D1112yes—
495#99—21no—
496#99—112no—
497#99—224no—
498#99—221no—
499#99C22×D1112yes—
500C2×C11—21no—
501C2×C11—21no—
502C2×C11—41no—
503C2×C11—41no—
504C2×C11—41no—
505C2×C11—41no—
506C2×C11#212112yescomplemented
507C2×C11C22×#9911yescharacteristic
508D11—22no—
509D11—22no—
510D11—42no—
511D11—42no—
512D11—82no—
513C24—111no—
514C24—111no—
515C24—111no—
516C24—112no—
517C24—112no—
518C24—112no—
519C24—112no—
520C24—112no—
521C24—221no—
522C24—221no—
523C24—222no—
524C24—222no—
525C24—221no—
526C24—221no—
527C24—221no—
528C24—221no—
529C24—441no—
530C24—441no—
531C24—882no—
532C24—882no—
533C24—882no—
534C24C2×C4×D1111yescharacteristic
535C24D4×D1111yescharacteristic
536C2×D4—41no—
537C2×D4—41no—
538C2×D4—112no—
539C2×D4—112no—
540C2×D4—112no—
541C2×D4—112no—
542C2×D4—112no—
543C2×D4—112no—
544C2×D4—224no—
545C2×D4—224no—
546C2×D4—224no—
547C2×D4—222no—
548C2×D4—222no—
549C2×D4—441no—
550C2×D4—441no—
551C2×D4—442no—
552C2×D4—441no—
553C2×D4—441no—
554C2×D4—444no—
555C2×D4—444no—
556C2×D4—442no—
557C2×D4—442no—
558C2×D4—444no—
559C2×D4—444no—
560C2×D4—442no—
561C2×D4—442no—
562C2×D4—442no—
563C2×D4—442no—
564C2×D4—442no—
565C2×D4—442no—
566C2×D4—442no—
567C2×D4—442no—
568C2×D4—441no—
569C2×D4—441no—
570C2×D4—441no—
571C2×D4—441no—
572C2×D4—882no—
573C2×D4—882no—
574C2×D4C2×C4×D1111yescharacteristic
575C2×D4D4×D1111yescharacteristic
576C2×D4D4×D1111yescharacteristic
577C2×D4C23×D1111yescharacteristic
578C22×C4—21no—
579C22×C4—21no—
580C22×C4—21no—
581C22×C4—41no—
582C22×C4—41no—
583C22×C4—41no—
584C22×C4—111no—
585C22×C4—112no—
586C22×C4—112no—
587C22×C4—221no—
588C22×C4—222no—
589C22×C4—221no—
590C22×C4—224no—
591C22×C4—221no—
592C22×C4—444no—
593C22×C4—441no—
594C22×C4—882no—
595C22×C4—884no—
596C22×C4C2×C4×D1112yescomplemented
597C22×C4D4×D1111yescharacteristic
598M16—22no—
599M16—41no—
600M16—222no—
601M16—444no—
602M16—441no—
603C2×C8—41no—
604C2×C8—444no—
605C2×C8—441no—
606C4⋊C4—22no—
607C4⋊C4—22no—
608C4⋊C4—224no—
609C22⋊C4—22no—
610C22⋊C4—21no—
611C22⋊C4—22no—
612C22⋊C4—22no—
613C22⋊C4—41no—
614C22⋊C4—112no—
615C22⋊C4—224no—
616C22⋊C4—224no—
617C22⋊C4—224no—
618C22⋊C4—221no—
619C22⋊C4—222no—
620C22⋊C4—222no—
621C22⋊C4—222no—
622C22⋊C4—444no—
623C22⋊C4—441no—
624C22⋊C4C2×C4×D1112yescomplemented
625C11C2×#212111yescharacteristic, complemented, Sylow
626C23—21no—
627C23—21no—
628C23—21no—
629C23—21no—
630C23—42no—
631C23—42no—
632C23—111no—
633C23—111no—
634C23—112no—
635C23—112no—
636C23—112no—
637C23—112no—
638C23—222no—
639C23—222no—
640C23—222no—
641C23—222no—
642C23—222no—
643C23—222no—
644C23—222no—
645C23—222no—
646C23—221no—
647C23—221no—
648C23—221no—
649C23—221no—
650C23—222no—
651C23—442no—
652C23—442no—
653C23—442no—
654C23—442no—
655C23—442no—
656C23—442no—
657C23—442no—
658C23—444no—
659C23—441no—
660C23—441no—
661C23—882no—
662C23—882no—
663C23—882no—
664C23—882no—
665C23—882no—
666C23—882no—
667C23—882no—
668C23—882no—
669C23—882no—
670C23—884no—
671C23—884no—
672C23—884no—
673C23—884no—
674C23C22⋊C4×D1111yescharacteristic
675C23C22⋊C4×D1111yescharacteristic
676C23C22⋊C4×D1111yescharacteristic
677C23C22×C4×D1111yescharacteristic
678C23C2×D4×D1111yescharacteristic
679D4—41no—
680D4—41no—
681D4—41no—
682D4—41no—
683D4—442no—
684D4—442no—
685D4—444no—
686D4—444no—
687D4—448no—
688D4—442no—
689D4—442no—
690D4—442no—
691D4—442no—
692D4—884no—
693D4—882no—
694D4—882no—
695C2×C4—21no—
696C2×C4—21no—
697C2×C4—22no—
698C2×C4—22no—
699C2×C4—42no—
700C2×C4—42no—
701C2×C4—41no—
702C2×C4—41no—
703C2×C4—42no—
704C2×C4—42no—
705C2×C4—82no—
706C2×C4—112no—
707C2×C4—222no—
708C2×C4—222no—
709C2×C4—222no—
710C2×C4—222no—
711C2×C4—221no—
712C2×C4—221no—
713C2×C4—222no—
714C2×C4—442no—
715C2×C4—442no—
716C2×C4—884no—
717C2×C4—888no—
718C2×C4—882no—
719C2×C4C22⋊C4×D1111yescharacteristic
720C2×C4C2×D4×D1111yescharacteristic
721C8—42no—
722C8—442no—
723C22—22no—
724C22—21no—
725C22—21no—
726C22—21no—
727C22—21no—
728C22—41no—
729C22—41no—
730C22—41no—
731C22—41no—
732C22—42no—
733C22—42no—
734C22—42no—
735C22—81no—
736C22—112no—
737C22—112no—
738C22—222no—
739C22—222no—
740C22—222no—
741C22—222no—
742C22—442no—
743C22—442no—
744C22—442no—
745C22—442no—
746C22—442no—
747C22—442no—
748C22—442no—
749C22—444no—
750C22—444no—
751C22—442no—
752C22—442no—
753C22—442no—
754C22—881no—
755C22—882no—
756C22—882no—
757C22—882no—
758C22—882no—
759C22—882no—
760C22—882no—
761C22—882no—
762C22—884no—
763C22—884no—
764C22—882no—
765C22D11×#9911yescharacteristic
766C22D11×#9911yescharacteristic
767C22C2×C22⋊C4×D1111yescharacteristic
768C4—21no—
769C4—21no—
770C4—42no—
771C4—42no—
772C4—82no—
773C4—222no—
774C4—442no—
775C4—882no—
776C2—21no—
777C2—21no—
778C2—41no—
779C2—41no—
780C2—41no—
781C2—41no—
782C2—222no—
783C2—222no—
784C2—442no—
785C2—442no—
786C2—882no—
787C2#1307026112yesdirect product factor
788C2C2×D11×#9911yescharacteristic
subgroupG/H
centerC22D11×#99
commutatorC23×C11C23×C4
FrattiniC2×D4C23×D11
FittingC2×C11×#352C2
socleC22×C11C2×#99
prime radicalC2×#10623184C2
cosocleC2×D4×C11C24
hypercenterC2×#352D11
hypocenterC11C2×#2121
LCSG ▷ C23×C11 ▷ C22×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C22 ◁ C23 ◁ C22×D4 ◁ C2×#352

Complements

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

NH ≅ G/Ntype
2. C2×D11×#100C2semidirect
3. C2×D11×#99C2semidirect
4. #13070261C2direct (N × H)
5. C2×#10622177C2semidirect
6. C2×#10622113C2semidirect
7. C2×#10622109C2semidirect
8. C2×C11×#352C2semidirect
10. C23×D44C4semidirect
13. C2×#66982C4semidirect
17. #10623184C4semidirect
23. C2×#66935C4semidirect
25. C2×C22⋊C4×D11C4semidirect
33. D11×#100C22semidirect
35. D11×#99C22semidirect
36. C11×#352C22semidirect
37. #10622177C22semidirect
38. #10622113C22semidirect
39. #10622109C22semidirect
41. C24×D11C2×C4semidirect
44. C23×C4×C11C2×C4semidirect
62. C22×D44C2×C4semidirect
70. C11×#123C2×C4semidirect
75. C2×C11×C22⋊C4C2×C4semidirect
77. C2×C22⋊Dic11C2×C4semidirect
80. #66990C2×C4semidirect
83. #66982C2×C4semidirect
104. #66935C2×C4semidirect
108. C22⋊C4×D11C2×C4semidirect
141. C23×D11C22×C4semidirect
155. C22×C4×C11C22×C4semidirect
215. C11×C22⋊C4C22×C4semidirect
219. C22⋊Dic11C22×C4semidirect
237. C2×#352D11semidirect
365. #352C2×D11semidirect
447. C23×C4C4×D11semidirect
460. #123C4×D11semidirect
489. C2×C22⋊C4C4×D11semidirect
506. C2×C11#2121semidirect
596. C22×C4C2×C4×D11semidirect
624. C22⋊C4C2×C4×D11semidirect
625. C11C2×#2121semidirect
787. C2#13070261direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#106231842
C2×D11×#1002
C2×D11×#992
#130702612
C2×#106221772
C2×#106221132
C2×#106221092
C2×C11×#3522
C2×#212111