Finite Group Databasebeta

← C2×#13079427 #15624370

Subgroups — C2×#13079427 #15624370

Order 2816.

2686 conjugacy classes of subgroups.

The subgroup lattice has 702 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10623137C211yesmaximal, characteristic, complemented
2C22×#66991C211yesmaximal, characteristic, complemented
3#13079427C2116yesmaximal, direct product factor
4C2×#10622392C212yesmaximal, complemented
5C2×#10622334C211yesmaximal, characteristic, complemented
6C2×#10622646C211yesmaximal, characteristic, complemented
7C2×#10622772C212yesmaximal, complemented
8C2×#10622393C212yesmaximal, complemented
9C2×#10622771C212yesmaximal, complemented
10C2×#10622831C211yesmaximal, characteristic, complemented
11C2×#10622339C211yesmaximal, characteristic, complemented
12C2×C11×#447C211yesmaximal, characteristic, complemented
13C23×D4×C11C2211yescharacteristic
14C23×C22⋊D11—21no—
15C22×#4341C2211yescharacteristic, complemented
16C23×C4×D11C2211yescharacteristic
17C22×C11×D8C2212yescomplemented
18C2×C11×#121C2211yescharacteristic
19C22×C22⋊Dic11—21no—
20C2×#66991—24no—
21C2×#66991—21no—
22C2×#66991—21no—
23C2×#66991C2212yes—
24C2×#66991C2212yes—
25C2×#66991C2218yescomplemented
26C2×#66991C2211yescharacteristic, complemented
27C2×#66990—21no—
28C2×D4×Dic11—21no—
29C22×#4324C2212yescomplemented
30C22×C4⋊Dic11C2211yescharacteristic
31C2×#66977C2211yescharacteristic
32C22×#4313C2212yescomplemented
33#10623137—24no—
34#10623137C2218yescomplemented
35C2×#66950C2211yescharacteristic, complemented
36C2×#66945C2211yescharacteristic, complemented
37C2×#66936—21no—
38C2×(C22⋊D11)⋊C4—21no—
39C11×#447C2218yescomplemented
40C2×C11×#102C2212yescomplemented
41C2×C11×C22⋊C8C2211yescharacteristic
42#10622831C2218yescomplemented
43C2×#66896C2212yescomplemented
44C2×#66896C2212yescomplemented
45C2×C22⋊(C11⋊C8)C2211yescharacteristic
46#10622772C22116yescomplemented
47#10622771C22116yescomplemented
48C2×(C2×D11)⋊C8C2212yescomplemented
49C2×#66881C2212yescomplemented
50C2×#66880C2212yescomplemented
51#10622646C2218yescomplemented
52C2×#66871C2212yescomplemented
53#10622393C22116yescomplemented
54#10622392C22116yescomplemented
55#10622339C2218yescomplemented
56#10622334C2218yescomplemented
57C25×C11—21no—
58C24×D11D411yescharacteristic
59C22×D4×C11—21no—
60C22×D4×C11—21no—
61C22×D4×C11—22no—
62C22×D4×C11—44no—
63C22×D4×C11C2312yes—
64C22×D4×C11C2311yescharacteristic
65C22×D4×C11C2314yes—
66C23×C4×C11C2311yescharacteristic
67C22×C22⋊D11—21no—
68C22×C22⋊D11—21no—
69C22×C22⋊D11—22no—
70C22×C22⋊D11—22no—
71C22×C22⋊D11—28no—
72C22×C22⋊D11—48no—
73C23×Dic11—21no—
74C23×Dic11—21no—
75C23×Dic11D411yescharacteristic
76C2×#4341—22no—
77C2×#4341—44no—
78C2×#4341C2314yescomplemented
79C22×C4×D11—44no—
80C22×C4×D11D411yescharacteristic
81C22×C4×D11D411yescharacteristic
82C22×C4×D11D414yes—
83C22×C4×D11C2311yescharacteristic
84C22×C4×D11C2311yescharacteristic
85C22×C4×D11C2314yes—
86C22×Dic22C2311yescharacteristic
87C2×C11×D8—44no—
88C2×C11×D8C2318yescomplemented
89C22×C8×C11C2312yes—
90C11×#121—22no—
91C11×#121C2314yes—
92C2×C11×C4⋊C4C2311yescharacteristic
93C2×C11×C22⋊C4—21no—
94C2×C22⋊Dic11—21no—
95C2×C22⋊Dic11—21no—
96C2×C22⋊Dic11—22no—
97C2×C22⋊Dic11—22no—
98C2×C22⋊Dic11—28no—
99#66991—24no—
100#66991—24no—
101#66991—28no—
102#66991—28no—
103#66991—22no—
104#66991C2318yes—
105#66991C2318yes—
106#66991C2314yescomplemented
107#66990—28no—
108D4×Dic11—28no—
109C2×#4324—44no—
110C2×#4324C2318yescomplemented
111C2×(C2×D11)⋊C4—21no—
112C2×(C2×D11)⋊C4—21no—
113C2×C4⋊Dic11—21no—
114C2×C4⋊Dic11—22no—
115C2×C4⋊Dic11—21no—
116C2×C4⋊Dic11C2311yescharacteristic
117C2×C4⋊Dic11C2312yes—
118C2×C4⋊Dic11C2314yes—
119#66977—22no—
120#66977C2314yes—
121C2×Dic11⋊C4—21no—
122C2×C4×Dic11—21no—
123C22×C11⋊C8C2312yes—
124C2×#4313—44no—
125C2×#4313C2318yescomplemented
126#66950—22no—
127#66950C2314yescomplemented
128#66945—22no—
129#66945C2314yescomplemented
130#66936—28no—
131(C22⋊D11)⋊C4—28no—
132C11×#102C2318yescomplemented
133C11×C22⋊C8C2314yes—
134#66896C2318yescomplemented
135#66896C2318yescomplemented
136C22⋊(C11⋊C8)C2314yes—
137(C2×D11)⋊C8C2318yescomplemented
138#66881C2318yescomplemented
139#66880C2318yescomplemented
140#66871C2318yescomplemented
141C2×#3194—111nomaximal, Sylow
142C24×C11—24no—
143C24×C11—22no—
144C24×C11—21no—
145C24×C11—44no—
146C24×C11—44no—
147C24×C11—44no—
148C24×C11C2×D411yescharacteristic
149C23×D11—24no—
150C23×D11—42no—
151C23×D11—42no—
152C23×D11C2×D411yescharacteristic
153C23×D11C2×D411yescharacteristic
154C23×D11C2×D414yes—
155C2×D4×C11—24no—
156C2×D4×C11—24no—
157C2×D4×C11—22no—
158C2×D4×C11—21no—
159C2×D4×C11—24no—
160C2×D4×C11—24no—
161C2×D4×C11—24no—
162C2×D4×C11—48no—
163C2×D4×C11—44no—
164C2×D4×C11—48no—
165C2×D4×C11—44no—
166C2×D4×C11C2412yes—
167C2×D4×C11C2414yes—
168C22×C4×C11—24no—
169C22×C4×C11—21no—
170C22×C4×C11C2×D411yescharacteristic
171C22×C4×C11C2×D412yes—
172C22×C4×C11C2412yes—
173C22×C4×C11C2411yescharacteristic
174C2×C22⋊D11—24no—
175C2×C22⋊D11—24no—
176C2×C22⋊D11—28no—
177C2×C22⋊D11—28no—
178C2×C22⋊D11—44no—
179C2×C22⋊D11—44no—
180C2×C22⋊D11—48no—
181C2×C22⋊D11—48no—
182C2×C22⋊D11—432no—
183C22×Dic11—24no—
184C22×Dic11—21no—
185C22×Dic11—21no—
186C22×Dic11—24no—
187C22×Dic11—22no—
188C22×Dic11—42no—
189C22×Dic11—44no—
190C22×Dic11—44no—
191C22×Dic11C2×D411yescharacteristic
192C22×Dic11C2×D411yescharacteristic
193C22×Dic11C2×D414yes—
194#4341—48no—
195#4341—48no—
196C2×C4×D11—24no—
197C2×C4×D11—24no—
198C2×C4×D11—42no—
199C2×C4×D11—42no—
200C2×C4×D11—48no—
201C2×C4×D11—48no—
202C2×C4×D11C2×D412yes—
203C2×C4×D11C2×D412yes—
204C2×C4×D11C2×D414yes—
205C2×C4×D11C2×D414yes—
206C2×C4×D11C2412yes—
207C2×C4×D11C2412yes—
208C2×Dic22—21no—
209C2×Dic22—24no—
210C2×Dic22C2412yes—
211C11×D8—48no—
212C2×C8×C11—24no—
213C2×C8×C11C2414yes—
214C11×C4⋊C4—21no—
215C11×C4⋊C4C2412yes—
216C11×C22⋊C4—24no—
217C22⋊Dic11—24no—
218C22⋊Dic11—28no—
219C22⋊Dic11—28no—
220C22⋊Dic11—24no—
221#4324—48no—
222(C2×D11)⋊C4—24no—
223(C2×D11)⋊C4—24no—
224C4⋊Dic11—24no—
225C4⋊Dic11—21no—
226C4⋊Dic11—24no—
227C4⋊Dic11—22no—
228C4⋊Dic11C2414yes—
229C4⋊Dic11C2412yes—
230Dic11⋊C4—24no—
231C4×Dic11—24no—
232C2×C11⋊C8—24no—
233C2×C11⋊C8C2414yes—
234#4313—48no—
235C2×#525—111no—
236C22×#121—111no—
237#3194—1116no—
238C2×#482—112no—
239C2×#483—111no—
240C2×#480—111no—
241C2×#469—112no—
242C2×#468—112no—
243C2×#449—112no—
244C2×#450—111no—
245C2×#447D1111yescharacteristic, complemented
246C2×#407—111no—
247C23×C11—22no—
248C23×C11—22no—
249C23×C11—24no—
250C23×C11—22no—
251C23×C11—48no—
252C23×C11—48no—
253C23×C11—42no—
254C23×C11—44no—
255C23×C11—48no—
256C23×C11—44no—
257C23×C11—42no—
258C23×C11—42no—
259C23×C11—44no—
260C23×C11—816no—
261C23×C11AGL(1,ℤ/8)14yes—
262C23×C11C22×D412yes—
263C23×C11C22×D411yescharacteristic
264C22×D11—22no—
265C22×D11—22no—
266C22×D11—28no—
267C22×D11—22no—
268C22×D11—22no—
269C22×D11—22no—
270C22×D11—22no—
271C22×D11—44no—
272C22×D11—44no—
273C22×D11—416no—
274C22×D11C22×D412yes—
275C22×D11C22×D412yes—
276D4×C11—24no—
277D4×C11—24no—
278D4×C11—24no—
279D4×C11—48no—
280D4×C11—48no—
281D4×C11—42no—
282D4×C11—44no—
283C2×C4×C11—22no—
284C2×C4×C11—24no—
285C2×C4×C11—24no—
286C2×C4×C11—22no—
287C2×C4×C11—42no—
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—416no—
295C22⋊D11—416no—
296C2×Dic11—22no—
297C2×Dic11—22no—
298C2×Dic11—22no—
299C2×Dic11—22no—
300C2×Dic11—24no—
301C2×Dic11—44no—
302C2×Dic11—48no—
303C2×Dic11—42no—
304C2×Dic11—48no—
305C2×Dic11—44no—
306C2×Dic11—42no—
307C2×Dic11C22×D412yes—
308C2×Dic11C22×D412yes—
309C4×D11—24no—
310C4×D11—24no—
311C4×D11—24no—
312C4×D11—24no—
313C4×D11—44no—
314C4×D11—44no—
315Dic22—24no—
316Dic22—42no—
317C8×C11—24no—
318C11⋊C8—24no—
319C22×#41—111no—
320C23×D4—221no—
321C23×D4C2×D1111yescharacteristic
322C24×C4—111no—
323C22×SD16—112no—
324C22×D8C2×D1112yescomplemented
325C22×M16—112no—
326#525—118no—
327#525—224no—
328C2×#123—221no—
329C2×C22⋊Q8—111no—
330C2×C22⋊Q8—111no—
331C2×#121—112no—
332C2×#121—112no—
333C2×#121—118no—
334C2×#121—111no—
335C2×#121—221no—
336C2×#121—221no—
337C2×#121—224no—
338C2×#121C2×D1111yescharacteristic
339C2×#120—221no—
340C2×C4×D4—221no—
341C2×C4×D4—221no—
342C2×#117—111no—
343C22×C4⋊C4—111no—
344C22×C22⋊C4—221no—
345#483—118no—
346#482—1116no—
347#480—118no—
348#469—1116no—
349#468—1116no—
350#450—118no—
351#449—1116no—
352#447C2×D1118yescomplemented
353C2×#107—112no—
354C2×#106—112no—
355C2×#103—112no—
356C2×#102—112no—
357C2×#102—112no—
358C2×#102C2×D1112yescomplemented
359#407—118no—
360C2×C22⋊C8—111no—
361C2×C22⋊C8—112no—
362C2×C22⋊C8C2×D1111yescharacteristic
363C22×C11—22no—
364C22×C11—28no—
365C22×C11—22no—
366C22×C11—44no—
367C22×C11—42no—
368C22×C11—42no—
369C22×C11—44no—
370C22×C11—44no—
371C22×C11—42no—
372C22×C11—816no—
373C22×C11—84no—
374C22×C11—88no—
375C22×C11#53412yes—
376C22×C11C2×AGL(1,ℤ/8)14yes—
377C22×C11C2×AGL(1,ℤ/8)12yes—
378C22×C11#57512yes—
379C22×C11C23×D411yescharacteristic
380C2×D11—22no—
381C2×D11—22no—
382C2×D11—22no—
383C2×D11—22no—
384C2×D11—22no—
385C2×D11—22no—
386C2×D11—416no—
387C2×D11—44no—
388C2×D11—44no—
389C4×C11—22no—
390C4×C11—42no—
391C4×C11#53412yes—
392C4×C11C2×H(5,𝔽2)12yes—
393Dic11—22no—
394Dic11—22no—
395Dic11—42no—
396Dic11—44no—
397Dic11—42no—
398C25—21no—
399C25—111no—
400C2×#41—114no—
401C2×#41—222no—
402C2×#41—444no—
403C22×Q8—111no—
404C22×D4—21no—
405C22×D4—22no—
406C22×D4—21no—
407C22×D4—44no—
408C22×D4—221no—
409C22×D4—221no—
410C22×D4—228no—
411C22×D4—222no—
412C22×D4—222no—
413C22×D4—448no—
414C22×D4C22×D1112yes—
415C22×D4C22×D1111yescharacteristic
416C22×D4C22×D1114yes—
417C23×C4—111no—
418C23×C4—111no—
419C23×C4—111no—
420C23×C4—111no—
421C23×C4—111no—
422C23×C4—114no—
423C23×C4—114no—
424C23×C4—221no—
425C23×C4—221no—
426C23×C4—444no—
427C23×C4C22×D1111yescharacteristic
428C2×SD16—118no—
429C2×SD16—444no—
430C2×D8—44no—
431C2×D8C22×D1118yescomplemented
432C2×M16—118no—
433C2×M16—444no—
434C22×C8—112no—
435C22×C8C22×D1112yes—
436#123—228no—
437C22⋊Q8—114no—
438C22⋊Q8—114no—
439C22⋊Q8—222no—
440C22⋊Q8—222no—
441#121—22no—
442#121—118no—
443#121—118no—
444#121—114no—
445#121—224no—
446#121—224no—
447#121—228no—
448#121—228no—
449#121—222no—
450#121C22×D1114yes—
451#120—228no—
452C4×D4—228no—
453C4×D4—228no—
454#117—114no—
455#117—222no—
456C2×C4⋊C4—112no—
457C2×C4⋊C4—114no—
458C2×C4⋊C4—111no—
459C2×C4⋊C4—221no—
460C2×C4⋊C4—222no—
461C2×C4⋊C4—221no—
462C2×C4⋊C4—221no—
463C2×C4⋊C4C22×D1111yescharacteristic
464C2×C22⋊C4—21no—
465C2×C22⋊C4—221no—
466C2×C22⋊C4—221no—
467C2×C22⋊C4—222no—
468C2×C22⋊C4—222no—
469C2×C22⋊C4—228no—
470C2×C22⋊C4—221no—
471C2×C22⋊C4—221no—
472C2×C42—221no—
473#107—118no—
474#106—118no—
475#103—118no—
476#102—118no—
477#102—118no—
478#102C22×D1118yescomplemented
479C22⋊C8—114no—
480C22⋊C8—118no—
481C22⋊C8C22×D1114yes—
482C2×C11—24no—
483C2×C11—82no—
484C2×C11—84no—
485C2×C11#319414yescomplemented
486C2×C11C2×#53411yescharacteristic
487C2×C11C22×AGL(1,ℤ/8)11yescharacteristic
488C2×C11C2×#57511yescharacteristic
489D11—42no—
490D11—42no—
491C24—24no—
492C24—21no—
493C24—22no—
494C24—44no—
495C24—44no—
496C24—44no—
497C24—111no—
498C24—111no—
499C24—114no—
500C24—224no—
501C24—442no—
502C24—442no—
503C24D4×D1111yescharacteristic
504#41—448no—
505#41—448no—
506C2×Q8—112no—
507C2×Q8—221no—
508C2×Q8—224no—
509C2×D4—24no—
510C2×D4—21no—
511C2×D4—24no—
512C2×D4—22no—
513C2×D4—24no—
514C2×D4—24no—
515C2×D4—24no—
516C2×D4—48no—
517C2×D4—44no—
518C2×D4—48no—
519C2×D4—44no—
520C2×D4—224no—
521C2×D4—224no—
522C2×D4—228no—
523C2×D4—228no—
524C2×D4—4432no—
525C2×D4—448no—
526C2×D4—448no—
527C2×D4—444no—
528C2×D4—444no—
529C2×D4C23×D1112yes—
530C2×D4C23×D1114yes—
531C22×C4—24no—
532C22×C4—21no—
533C22×C4—111no—
534C22×C4—111no—
535C22×C4—114no—
536C22×C4—112no—
537C22×C4—112no—
538C22×C4—112no—
539C22×C4—112no—
540C22×C4—114no—
541C22×C4—114no—
542C22×C4—224no—
543C22×C4—224no—
544C22×C4—224no—
545C22×C4—224no—
546C22×C4—221no—
547C22×C4—222no—
548C22×C4—221no—
549C22×C4—448no—
550C22×C4—448no—
551C22×C4—442no—
552C22×C4—442no—
553C22×C4—442no—
554C22×C4—444no—
555C22×C4—444no—
556C22×C4D4×D1112yes—
557C22×C4D4×D1111yescharacteristic
558C22×C4C23×D1112yes—
559C22×C4C23×D1111yescharacteristic
560SD16—448no—
561D8—48no—
562M16—448no—
563C2×C8—24no—
564C2×C8—114no—
565C2×C8—224no—
566C2×C8C23×D1114yes—
567C4⋊C4—21no—
568C4⋊C4—112no—
569C4⋊C4—114no—
570C4⋊C4—224no—
571C4⋊C4—224no—
572C4⋊C4—222no—
573C4⋊C4—221no—
574C4⋊C4—224no—
575C4⋊C4C23×D1112yes—
576C22⋊C4—24no—
577C22⋊C4—224no—
578C22⋊C4—224no—
579C22⋊C4—228no—
580C22⋊C4—228no—
581C22⋊C4—224no—
582C22⋊C4—224no—
583C42—224no—
584C11C2×#319411yescharacteristic, complemented, Sylow
585C23—22no—
586C23—22no—
587C23—22no—
588C23—24no—
589C23—48no—
590C23—48no—
591C23—42no—
592C23—48no—
593C23—44no—
594C23—42no—
595C23—44no—
596C23—42no—
597C23—44no—
598C23—816no—
599C23—112no—
600C23—112no—
601C23—228no—
602C23—222no—
603C23—222no—
604C23—222no—
605C23—222no—
606C23—222no—
607C23—222no—
608C23—444no—
609C23—444no—
610C23—4416no—
611C23#6696414yes—
612C23C2×D4×D1112yes—
613C23C2×D4×D1111yescharacteristic
614Q8—224no—
615Q8—442no—
616D4—24no—
617D4—24no—
618D4—24no—
619D4—48no—
620D4—48no—
621D4—44no—
622D4—42no—
623D4—4416no—
624D4—4416no—
625D4—448no—
626D4—448no—
627C2×C4—22no—
628C2×C4—24no—
629C2×C4—24no—
630C2×C4—22no—
631C2×C4—42no—
632C2×C4—112no—
633C2×C4—112no—
634C2×C4—222no—
635C2×C4—222no—
636C2×C4—224no—
637C2×C4—224no—
638C2×C4—224no—
639C2×C4—224no—
640C2×C4—222no—
641C2×C4—224no—
642C2×C4—222no—
643C2×C4—444no—
644C2×C4—444no—
645C2×C4—444no—
646C2×C4—448no—
647C2×C4—448no—
648C2×C4—444no—
649C2×C4—442no—
650C2×C4—442no—
651C2×C4C2×D4×D1112yes—
652C2×C4C2×D4×D1111yescharacteristic
653C2×C4#6703714yes—
654C2×C4C24×D1111yescharacteristic
655C8—24no—
656C8—224no—
657C22—22no—
658C22—28no—
659C22—22no—
660C22—42no—
661C22—44no—
662C22—42no—
663C22—44no—
664C22—42no—
665C22—44no—
666C22—816no—
667C22—88no—
668C22—84no—
669C22—222no—
670C22—222no—
671C22—222no—
672C22—222no—
673C22—222no—
674C22—222no—
675C22—4416no—
676C22—444no—
677C22—444no—
678C22#1062312012yes—
679C22C2×#6696414yes—
680C22C2×#6696412yes—
681C22#1062330412yes—
682C22C22×D4×D1111yescharacteristic
683C4—22no—
684C4—42no—
685C4—222no—
686C4—222no—
687C4—442no—
688C4—444no—
689C4—442no—
690C4#1062312012yes—
691C4C2×#6703712yes—
692C2—24no—
693C2—84no—
694C2—82no—
695C2—442no—
696C2—442no—
697C2#1307942714yesdirect product factor
698C2C2×#1062312011yescharacteristic
699C2C22×#6696411yescharacteristic
700C2C2×#1062330411yescharacteristic
subgroupG/H
centerC23C2×D4×D11
commutator, cosocleC2×C4×C11C25
FrattiniC2×C4C24×D11
FittingC2×C11×#447C2
socleC23×C11C22×D4
hypercenterC2×#447D11
hypocenterC11C2×#3194
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C23 ◁ C23×C4 ◁ C2×#447

Complements

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

NH ≅ G/Ntype
1. C2×#10623137C2semidirect
2. C22×#66991C2semidirect
3. #13079427C2direct (N × H)
4. C2×#10622392C2semidirect
5. C2×#10622334C2semidirect
6. C2×#10622646C2semidirect
7. C2×#10622772C2semidirect
8. C2×#10622393C2semidirect
9. C2×#10622771C2semidirect
10. C2×#10622831C2semidirect
11. C2×#10622339C2semidirect
12. C2×C11×#447C2semidirect
15. C22×#4341C22semidirect
17. C22×C11×D8C22semidirect
25. C2×#66991C22semidirect
26. C2×#66991C22semidirect
29. C22×#4324C22semidirect
32. C22×#4313C22semidirect
34. #10623137C22semidirect
35. C2×#66950C22semidirect
36. C2×#66945C22semidirect
39. C11×#447C22semidirect
40. C2×C11×#102C22semidirect
42. #10622831C22semidirect
43. C2×#66896C22semidirect
44. C2×#66896C22semidirect
46. #10622772C22semidirect
47. #10622771C22semidirect
48. C2×(C2×D11)⋊C8C22semidirect
49. C2×#66881C22semidirect
50. C2×#66880C22semidirect
51. #10622646C22semidirect
52. C2×#66871C22semidirect
53. #10622393C22semidirect
54. #10622392C22semidirect
55. #10622339C22semidirect
56. #10622334C22semidirect
78. C2×#4341C23semidirect
88. C2×C11×D8C23semidirect
106. #66991C23semidirect
110. C2×#4324C23semidirect
125. C2×#4313C23semidirect
127. #66950C23semidirect
129. #66945C23semidirect
132. C11×#102C23semidirect
134. #66896C23semidirect
135. #66896C23semidirect
137. (C2×D11)⋊C8C23semidirect
138. #66881C23semidirect
139. #66880C23semidirect
140. #66871C23semidirect
245. C2×#447D11semidirect
324. C22×D8C2×D11semidirect
352. #447C2×D11semidirect
358. C2×#102C2×D11semidirect
431. C2×D8C22×D11semidirect
478. #102C22×D11semidirect
485. C2×C11#3194semidirect
584. C11C2×#3194semidirect
697. C2#13079427direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#106231372
C22×#669912
#130794272
C2×#106223922
C2×#106223342
C2×#106226462
C2×#106227722
C2×#106223932
C2×#106227712
C2×#106228312
C2×#106223392
C2×C11×#4472
C2×#319411