Finite Group Databasebeta

← C2×#13077866 #15620146

Subgroups — C2×#13077866 #15620146

Order 2816.

5422 conjugacy classes of subgroups.

The subgroup lattice has 690 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C23×#4339C211yesmaximal, characteristic, complemented
2C22×#66985C212yesmaximal, complemented
3#13077866C2116yesmaximal, direct product factor
4C2×#10622650C214yesmaximal, complemented
5C2×#10622653C212yesmaximal, complemented
6C2×#10622649C212yesmaximal, complemented
7C2×#10622579C212yesmaximal, complemented
8C2×#10622820C211yesmaximal, characteristic, complemented
9C22×C11×#121C211yesmaximal, characteristic, complemented
10C23×D4×C11—21no—
11C23×D4×C11C2211yescharacteristic, complemented
12C24×C4×C11C2211yescharacteristic
13C23×C22⋊D11—21no—
14C22×#4339—21no—
15C22×#4339—24no—
16C22×#4339—21no—
17C22×#4339—216no—
18C22×#4339C2212yes—
19C22×#4339C2212yescomplemented
20C22×#4339C2218yescomplemented
21C23×D44C2211yescharacteristic, complemented
22C23×C4×D11—21no—
23C23×Dic22C2211yescharacteristic, complemented
24C2×C11×#121—21no—
25C2×C11×#121—24no—
26C2×C11×#121—21no—
27C2×C11×#121C2212yes—
28C2×C11×#121C2212yescomplemented
29C2×C11×#121C2218yescomplemented
30C22×C11×C4⋊C4C2211yescharacteristic, complemented
31C22×C11×C22⋊C4—21no—
32C22×#4324C2214yescomplemented
33C2×#66985—216no—
34C2×#66985C22116yescomplemented
35C22×#4323C2214yescomplemented
36C22×#4318C2212yescomplemented
37#10622820C2218yescomplemented
38C2×C22⋊(C11⋊C8)C2212yescomplemented
39C2×C22⋊(C11⋊C8)C2212yescomplemented
40#10622653C22116yescomplemented
41#10622650C22132yescomplemented
42#10622649C22116yescomplemented
43C2×#66874C2214yescomplemented
44#10622579C22116yescomplemented
45C2×#66873C2214yescomplemented
46C25×C11—21no—
47C25×C11D411yescharacteristic
48C24×D11—21no—
49C22×D4×C11—22no—
50C22×D4×C11—22no—
51C22×D4×C11—28no—
52C22×D4×C11—28no—
53C22×D4×C11—21no—
54C22×D4×C11—22no—
55C22×D4×C11—48no—
56C22×D4×C11C2312yes—
57C22×D4×C11C2314yescomplemented
58C23×C4×C11—28no—
59C23×C4×C11—21no—
60C23×C4×C11D411yescharacteristic
61C23×C4×C11D411yescharacteristic
62C23×C4×C11D411yescharacteristic
63C23×C4×C11D414yes—
64C23×C4×C11C2311yescharacteristic
65C23×C4×C11C2311yescharacteristic
66C23×C4×C11C2314yes—
67C23×C4×C11C2311yescharacteristic
68C22×C22⋊D11—216no—
69C22×C22⋊D11—22no—
70C22×C22⋊D11—22no—
71C22×C22⋊D11—28no—
72C23×Dic11—21no—
73C2×#4339—216no—
74C2×#4339—264no—
75C2×#4339—216no—
76C2×#4339—28no—
77C2×#4339—24no—
78C2×#4339—24no—
79C2×#4339—28no—
80C2×#4339—28no—
81C2×#4339—264no—
82C2×#4339—28no—
83C2×#4339—28no—
84C2×#4339D4116yescomplemented
85C2×#4339C2318yes—
86C2×#4339C2318yescomplemented
87C22×D44—22no—
88C22×D44—21no—
89C22×D44—28no—
90C22×D44C2312yes—
91C22×D44C2314yescomplemented
92C22×C4×D11—216no—
93C22×C4×D11—22no—
94C22×C4×D11—28no—
95C22×C4×D11—22no—
96C22×Dic22—22no—
97C22×Dic22—21no—
98C22×Dic22—28no—
99C22×Dic22C2312yes—
100C22×Dic22C2314yescomplemented
101C11×#121—24no—
102C11×#121—28no—
103C11×#121—24no—
104C11×#121—28no—
105C11×#121C2318yes—
106C11×#121C2318yescomplemented
107C2×C11×C4⋊C4—22no—
108C2×C11×C4⋊C4—21no—
109C2×C11×C4⋊C4C2312yes—
110C2×C11×C4⋊C4C2314yescomplemented
111C2×C11×C22⋊C4—22no—
112C2×C11×C22⋊C4—28no—
113C2×C11×C22⋊C4—22no—
114C2×#4324—216no—
115C2×#4324C23116yescomplemented
116#66985—264no—
117C2×#4323—216no—
118C2×#4323C23116yescomplemented
119C2×#4318—28no—
120C2×#4318C2318yescomplemented
121C22×C11⋊C8C2314yes—
122C22⋊(C11⋊C8)C2318yescomplemented
123C22⋊(C11⋊C8)C2318yescomplemented
124#66874C23116yescomplemented
125#66873C23116yescomplemented
126C2×#3006—111nomaximal, Sylow
127C24×C11—24no—
128C24×C11—24no—
129C24×C11—22no—
130C24×C11—24no—
131C24×C11—42no—
132C24×C11—44no—
133C24×C11—44no—
134C24×C11—44no—
135C24×C11C2×D411yescharacteristic
136C24×C11C2×D414yes—
137C24×C11C2×D411yescharacteristic
138C24×C11C2×D411yescharacteristic
139C23×D11—28no—
140C23×D11—22no—
141C23×D11—24no—
142C23×D11—44no—
143C23×D11—44no—
144C2×D4×C11—28no—
145C2×D4×C11—28no—
146C2×D4×C11—28no—
147C2×D4×C11—216no—
148C2×D4×C11—22no—
149C2×D4×C11—24no—
150C2×D4×C11—432no—
151C2×D4×C11—48no—
152C2×D4×C11—48no—
153C2×D4×C11—44no—
154C2×D4×C11—48no—
155C2×D4×C11C2414yes—
156C22×C4×C11—24no—
157C22×C4×C11—24no—
158C22×C4×C11—24no—
159C22×C4×C11—216no—
160C22×C4×C11—24no—
161C22×C4×C11—24no—
162C22×C4×C11—216no—
163C22×C4×C11—22no—
164C22×C4×C11—24no—
165C22×C4×C11—44no—
166C22×C4×C11C2×D411yescharacteristic
167C22×C4×C11C2×D411yescharacteristic
168C22×C4×C11C2×D414yes—
169C22×C4×C11C2×D412yes—
170C22×C4×C11C2×D414yes—
171C22×C4×C11C2×D414yes—
172C22×C4×C11C2×D412yes—
173C22×C4×C11C2×D411yescharacteristic
174C22×C4×C11C2×D412yes—
175C22×C4×C11C2×D418yes—
176C22×C4×C11C2412yes—
177C22×C4×C11C2412yes—
178C22×C4×C11C2411yescharacteristic
179C22×C4×C11C2412yes—
180C2×C22⋊D11—264no—
181C2×C22⋊D11—216no—
182C2×C22⋊D11—216no—
183C2×C22⋊D11—28no—
184C2×C22⋊D11—28no—
185C22×Dic11—28no—
186C22×Dic11—22no—
187C22×Dic11—24no—
188#4339—264no—
189#4339—264no—
190#4339—232no—
191#4339—216no—
192#4339—216no—
193#4339—232no—
194#4339—216no—
195#4339C2×D4132yescomplemented
196C2×D44—28no—
197C2×D44—216no—
198C2×D44—216no—
199C2×D44—24no—
200C2×D44—22no—
201C2×D44—24no—
202C2×D44C2×D418yescomplemented
203C2×D44C2414yes—
204C2×C4×D11—216no—
205C2×C4×D11—264no—
206C2×C4×D11—216no—
207C2×C4×D11—28no—
208C2×C4×D11—28no—
209C2×Dic22—28no—
210C2×Dic22—216no—
211C2×Dic22—216no—
212C2×Dic22—24no—
213C2×Dic22—22no—
214C2×Dic22—24no—
215C2×Dic22C2×D418yescomplemented
216C2×Dic22C2414yes—
217C11×C4⋊C4—22no—
218C11×C4⋊C4—24no—
219C11×C4⋊C4C2414yes—
220C11×C22⋊C4—28no—
221C11×C22⋊C4—28no—
222#4324—232no—
223#4323—232no—
224#4318—216no—
225C2×C11⋊C8—28no—
226C2×C11⋊C8C2418yes—
227C23×#41—111no—
228C22×AGL(1,ℤ/8)—112no—
229C22×#121D1111yescharacteristic, complemented
230#3006—1116no—
231C2×#449—114no—
232C2×#448—112no—
233C2×#447—112no—
234C2×#417—112no—
235C2×#407—111no—
236C23×C11—22no—
237C23×C11—22no—
238C23×C11—22no—
239C23×C11—22no—
240C23×C11—28no—
241C23×C11—22no—
242C23×C11—22no—
243C23×C11—28no—
244C23×C11—22no—
245C23×C11—24no—
246C23×C11—44no—
247C23×C11—416no—
248C23×C11—48no—
249C23×C11—48no—
250C23×C11—48no—
251C23×C11—44no—
252C23×C11—44no—
253C23×C11—44no—
254C23×C11—816no—
255C23×C11#12014yes—
256C23×C11AGL(1,ℤ/8)14yescomplemented
257C23×C11C22×D412yes—
258C23×C11C22×D412yes—
259C23×C11C22×D412yes—
260C23×C11C22×D411yescharacteristic
261C22×D11—216no—
262C22×D11—28no—
263C22×D11—24no—
264C22×D11—432no—
265C22×D11—48no—
266C22×D11—44no—
267C22×D11—48no—
268C22×D11—44no—
269D4×C11—28no—
270D4×C11—416no—
271D4×C11—416no—
272D4×C11—44no—
273D4×C11—48no—
274C2×C4×C11—22no—
275C2×C4×C11—22no—
276C2×C4×C11—28no—
277C2×C4×C11—24no—
278C2×C4×C11—28no—
279C2×C4×C11—28no—
280C2×C4×C11—24no—
281C2×C4×C11—24no—
282C2×C4×C11—24no—
283C2×C4×C11—24no—
284C2×C4×C11—48no—
285C2×C4×C11—44no—
286C2×C4×C11#12014yes—
287C2×C4×C11#12018yes—
288C2×C4×C11C22×D414yes—
289C2×C4×C11C22×D418yes—
290C2×C4×C11C22×D412yes—
291C2×C4×C11C22×D412yes—
292C2×C4×C11C22×D411yescharacteristic
293C2×C4×C11C22×D412yes—
294C2×C4×C11C2511yescharacteristic
295C22⋊D11—232no—
296C22⋊D11—232no—
297C2×Dic11—216no—
298C2×Dic11—28no—
299C2×Dic11—24no—
300D44—216no—
301D44—28no—
302D44—24no—
303D44C22×D418yescomplemented
304C4×D11—232no—
305C4×D11—232no—
306Dic22—216no—
307Dic22—28no—
308Dic22—24no—
309Dic22C22×D418yescomplemented
310C11⋊C8—28no—
311C22×#41—112no—
312C22×#41—112no—
313C22×#41—118no—
314C22×#41—2216no—
315C22×#41—221no—
316C22×#41—224no—
317C22×#41—221no—
318C23×Q8—111no—
319C23×D4—21no—
320C23×D4—111no—
321C23×D4—221no—
322C23×D4C2×D1111yescharacteristic, complemented
323C24×C4—221no—
324C24×C4C2×D1111yescharacteristic
325C2×AGL(1,ℤ/8)—1116no—
326C2×AGL(1,ℤ/8)—2216no—
327C22×SD16—114no—
328C22×D8—114no—
329C22×M16—112no—
330C2×#121—21no—
331C2×#121—24no—
332C2×#121—21no—
333C2×#121C2×D1112yes—
334C2×#121C2×D1112yescomplemented
335C2×#121C2×D1118yescomplemented
336C22×C4⋊C4C2×D1111yescharacteristic, complemented
337C22×C22⋊C4—21no—
338#449—1132no—
339#448—1116no—
340#447—1116no—
341#417—1116no—
342C2×#103—114no—
343C2×#102—114no—
344#407—118no—
345C2×C22⋊C8—112no—
346C2×C22⋊C8—112no—
347C22×C11—22no—
348C22×C11—28no—
349C22×C11—28no—
350C22×C11—22no—
351C22×C11—22no—
352C22×C11—22no—
353C22×C11—22no—
354C22×C11—22no—
355C22×C11—22no—
356C22×C11—416no—
357C22×C11—44no—
358C22×C11—44no—
359C22×C11—44no—
360C22×C11—44no—
361C22×C11—816no—
362C22×C11—88no—
363C22×C11C2×#12014yes—
364C22×C11C2×#12012yes—
365C22×C11C2×AGL(1,ℤ/8)12yes—
366C22×C11C2×AGL(1,ℤ/8)14yescomplemented
367C22×C11#57512yes—
368C22×C11C23×D411yescharacteristic
369C2×D11—28no—
370C2×D11—432no—
371C2×D11—416no—
372C2×D11—44no—
373C2×D11—44no—
374C4×C11—22no—
375C4×C11—22no—
376C4×C11—44no—
377C4×C11C2×#12012yes—
378C4×C11C2×#12014yes—
379C4×C11C23×D412yes—
380Dic11—28no—
381C25—21no—
382C25—221no—
383C25C22⋊D1111yescharacteristic
384C2×#41—1116no—
385C2×#41—118no—
386C2×#41—118no—
387C2×#41—228no—
388C2×#41—228no—
389C2×#41—2264no—
390C2×#41—2216no—
391C2×#41—2264no—
392C2×#41—2216no—
393C2×#41—228no—
394C2×#41—228no—
395C2×#41—224no—
396C2×#41—228no—
397C2×#41—224no—
398C22×Q8—112no—
399C22×Q8—114no—
400C22×Q8—228no—
401C22×Q8—222no—
402C22×Q8—221no—
403C22×D4—22no—
404C22×D4—28no—
405C22×D4—22no—
406C22×D4—28no—
407C22×D4—22no—
408C22×D4—21no—
409C22×D4—48no—
410C22×D4—112no—
411C22×D4—114no—
412C22×D4—228no—
413C22×D4—2216no—
414C22×D4—228no—
415C22×D4—222no—
416C22×D4—222no—
417C22×D4—222no—
418C22×D4—221no—
419C22×D4C22×D1112yes—
420C22×D4C22×D1114yescomplemented
421C23×C4—28no—
422C23×C4—21no—
423C23×C4—2216no—
424C23×C4—221no—
425C23×C4—228no—
426C23×C4—222no—
427C23×C4—222no—
428C23×C4C22⋊D1111yescharacteristic
429C23×C4C22⋊D1111yescharacteristic
430C23×C4C22⋊D1114yes—
431C23×C4C22⋊D1111yescharacteristic
432C23×C4C22×D1111yescharacteristic
433C23×C4C22×D1111yescharacteristic
434C23×C4C22×D1114yes—
435C23×C4C22×D1111yescharacteristic
436AGL(1,ℤ/8)—2264no—
437C2×SD16—1116no—
438C2×SD16—2216no—
439C2×D8—1116no—
440C2×D8—2216no—
441C2×M16—118no—
442C2×M16—228no—
443C22×C8—114no—
444#121—24no—
445#121—28no—
446#121—24no—
447#121—28no—
448#121C22×D1118yes—
449#121C22×D1118yescomplemented
450C2×C4⋊C4—22no—
451C2×C4⋊C4—21no—
452C2×C4⋊C4C22×D1112yes—
453C2×C4⋊C4C22×D1114yescomplemented
454C2×C22⋊C4—22no—
455C2×C22⋊C4—28no—
456C2×C22⋊C4—22no—
457#103—1116no—
458#102—1116no—
459C22⋊C8—118no—
460C22⋊C8—118no—
461C2×C11—24no—
462C2×C11—24no—
463C2×C11—42no—
464C2×C11—84no—
465C2×C11#300614yescomplemented
466C2×C11C22×#12011yescharacteristic
467C2×C11C22×AGL(1,ℤ/8)11yescharacteristic
468C2×C11C2×#57511yescharacteristic
469D11—48no—
470C24—24no—
471C24—24no—
472C24—24no—
473C24—22no—
474C24—42no—
475C24—44no—
476C24—44no—
477C24—44no—
478C24—228no—
479C24—224no—
480C24—222no—
481C24—444no—
482C24—444no—
483C24C2×C22⋊D1111yescharacteristic
484C24C2×C22⋊D1114yes—
485C24C2×C22⋊D1111yescharacteristic
486C24C2×C22⋊D1111yescharacteristic
487#41—1132no—
488#41—2216no—
489#41—2216no—
490#41—2264no—
491#41—2232no—
492#41—2264no—
493#41—2232no—
494#41—2216no—
495C2×Q8—118no—
496C2×Q8—114no—
497C2×Q8—2216no—
498C2×Q8—228no—
499C2×Q8—2216no—
500C2×Q8—224no—
501C2×Q8—224no—
502C2×Q8—222no—
503C2×D4—28no—
504C2×D4—28no—
505C2×D4—28no—
506C2×D4—216no—
507C2×D4—22no—
508C2×D4—24no—
509C2×D4—432no—
510C2×D4—48no—
511C2×D4—48no—
512C2×D4—44no—
513C2×D4—48no—
514C2×D4—118no—
515C2×D4—114no—
516C2×D4—2216no—
517C2×D4—228no—
518C2×D4—2216no—
519C2×D4—2264no—
520C2×D4—2216no—
521C2×D4—2216no—
522C2×D4—228no—
523C2×D4—228no—
524C2×D4—224no—
525C2×D4—224no—
526C2×D4—222no—
527C2×D4C23×D1114yes—
528C22×C4—24no—
529C22×C4—24no—
530C22×C4—24no—
531C22×C4—216no—
532C22×C4—24no—
533C22×C4—24no—
534C22×C4—216no—
535C22×C4—24no—
536C22×C4—22no—
537C22×C4—44no—
538C22×C4—2216no—
539C22×C4—2264no—
540C22×C4—228no—
541C22×C4—224no—
542C22×C4—222no—
543C22×C4—2216no—
544C22×C4—228no—
545C22×C4—228no—
546C22×C4D4×D1118yes—
547C22×C4C2×C22⋊D1114yes—
548C22×C4C2×C22⋊D1114yes—
549C22×C4C2×C22⋊D1112yes—
550C22×C4C2×C22⋊D1112yes—
551C22×C4C2×C22⋊D1114yes—
552C22×C4C2×C22⋊D1111yescharacteristic
553C22×C4C2×C22⋊D1111yescharacteristic
554C22×C4C2×C22⋊D1112yes—
555C22×C4C2×C22⋊D1111yescharacteristic
556C22×C4C23×D1112yes—
557C22×C4C23×D1112yes—
558C22×C4C23×D1112yes—
559C22×C4C23×D1111yescharacteristic
560SD16—2232no—
561D8—2232no—
562M16—2216no—
563C2×C8—118no—
564C2×C8—228no—
565C4⋊C4—22no—
566C4⋊C4—24no—
567C4⋊C4C23×D1114yes—
568C22⋊C4—28no—
569C22⋊C4—28no—
570C11C2×#300611yescharacteristic, complemented, Sylow
571C23—22no—
572C23—22no—
573C23—22no—
574C23—22no—
575C23—22no—
576C23—28no—
577C23—28no—
578C23—22no—
579C23—22no—
580C23—24no—
581C23—44no—
582C23—416no—
583C23—48no—
584C23—48no—
585C23—44no—
586C23—48no—
587C23—44no—
588C23—44no—
589C23—816no—
590C23—2216no—
591C23—228no—
592C23—224no—
593C23—4432no—
594C23—448no—
595C23—444no—
596C23—448no—
597C23—444no—
598C23#6698514yescomplemented
599C23#6699014yes—
600C23C22×C22⋊D1112yes—
601C23C22×C22⋊D1112yes—
602C23C22×C22⋊D1112yes—
603C23C22×C22⋊D1111yescharacteristic
604Q8—118no—
605Q8—2216no—
606Q8—228no—
607Q8—224no—
608D4—28no—
609D4—416no—
610D4—416no—
611D4—48no—
612D4—44no—
613D4—118no—
614D4—2216no—
615D4—2232no—
616D4—2232no—
617D4—228no—
618D4—224no—
619C2×C4—22no—
620C2×C4—22no—
621C2×C4—28no—
622C2×C4—28no—
623C2×C4—24no—
624C2×C4—24no—
625C2×C4—28no—
626C2×C4—24no—
627C2×C4—24no—
628C2×C4—24no—
629C2×C4—48no—
630C2×C4—44no—
631C2×C4—2232no—
632C2×C4—2216no—
633C2×C4—228no—
634C2×C4—224no—
635C2×C4—2232no—
636C2×C4#6699014yes—
637C2×C4#6699018yes—
638C2×C4C2×D4×D1114yes—
639C2×C4C2×D4×D1118yes—
640C2×C4C22×C22⋊D1112yes—
641C2×C4C22×C22⋊D1112yes—
642C2×C4C22×C22⋊D1112yes—
643C2×C4C22×C22⋊D1111yescharacteristic
644C2×C4C24×D1111yescharacteristic
645C8—228no—
646C22—28no—
647C22—28no—
648C22—22no—
649C22—22no—
650C22—22no—
651C22—22no—
652C22—22no—
653C22—22no—
654C22—22no—
655C22—416no—
656C22—44no—
657C22—44no—
658C22—44no—
659C22—44no—
660C22—816no—
661C22—88no—
662C22—228no—
663C22—4432no—
664C22—4416no—
665C22—444no—
666C22—444no—
667C22C2×#6698512yes—
668C22C2×#6698514yescomplemented
669C22C2×#6699014yes—
670C22C2×#6699012yes—
671C22#1062335312yes—
672C22C23×C22⋊D1111yescharacteristic
673C4—22no—
674C4—22no—
675C4—44no—
676C4—228no—
677C4C2×#6699014yes—
678C4C2×#6699012yes—
679C4C22×D4×D1112yes—
680C2—24no—
681C2—24no—
682C2—42no—
683C2—84no—
684C2—448no—
685C2#1307786614yesdirect product factor
686C2C22×#6699011yescharacteristic
687C2C22×#6698511yescharacteristic
688C2C2×#1062335311yescharacteristic
subgroupG/H
centerC23C22×C22⋊D11
commutator, cosocleC2×C4×C11C25
FrattiniC2×C4C24×D11
FittingC22×C11×#121C2
socleC23×C11C22×D4
hypercenterC22×#121D11
hypocenterC11C2×#3006
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C23 ◁ C24×C4 ◁ C22×#121

Complements

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

NH ≅ G/Ntype
1. C23×#4339C2semidirect
2. C22×#66985C2semidirect
3. #13077866C2direct (N × H)
4. C2×#10622650C2semidirect
5. C2×#10622653C2semidirect
6. C2×#10622649C2semidirect
7. C2×#10622579C2semidirect
8. C2×#10622820C2semidirect
9. C22×C11×#121C2semidirect
11. C23×D4×C11C22semidirect
19. C22×#4339C22semidirect
20. C22×#4339C22semidirect
21. C23×D44C22semidirect
23. C23×Dic22C22semidirect
28. C2×C11×#121C22semidirect
29. C2×C11×#121C22semidirect
30. C22×C11×C4⋊C4C22semidirect
32. C22×#4324C22semidirect
34. C2×#66985C22semidirect
35. C22×#4323C22semidirect
36. C22×#4318C22semidirect
37. #10622820C22semidirect
38. C2×C22⋊(C11⋊C8)C22semidirect
39. C2×C22⋊(C11⋊C8)C22semidirect
40. #10622653C22semidirect
41. #10622650C22semidirect
42. #10622649C22semidirect
43. C2×#66874C22semidirect
44. #10622579C22semidirect
45. C2×#66873C22semidirect
57. C22×D4×C11C23semidirect
84. C2×#4339D4semidirect
86. C2×#4339C23semidirect
91. C22×D44C23semidirect
100. C22×Dic22C23semidirect
106. C11×#121C23semidirect
110. C2×C11×C4⋊C4C23semidirect
115. C2×#4324C23semidirect
118. C2×#4323C23semidirect
120. C2×#4318C23semidirect
122. C22⋊(C11⋊C8)C23semidirect
123. C22⋊(C11⋊C8)C23semidirect
124. #66874C23semidirect
125. #66873C23semidirect
195. #4339C2×D4semidirect
202. C2×D44C2×D4semidirect
215. C2×Dic22C2×D4semidirect
229. C22×#121D11semidirect
256. C23×C11AGL(1,ℤ/8)semidirect
303. D44C22×D4semidirect
309. Dic22C22×D4semidirect
322. C23×D4C2×D11semidirect
334. C2×#121C2×D11semidirect
335. C2×#121C2×D11semidirect
336. C22×C4⋊C4C2×D11semidirect
366. C22×C11C2×AGL(1,ℤ/8)semidirect
420. C22×D4C22×D11semidirect
449. #121C22×D11semidirect
453. C2×C4⋊C4C22×D11semidirect
465. C2×C11#3006semidirect
570. C11C2×#3006semidirect
598. C23#66985semidirect
668. C22C2×#66985semidirect
685. C2#13077866direct (N × H)

Maximal subgroups

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

subgroupindex
C23×#43392
C22×#669852
#130778662
C2×#106226502
C2×#106226532
C2×#106226492
C2×#106225792
C2×#106228202
C22×C11×#1212
C2×#300611