Finite Group Databasebeta

← C2×#13077522 #15618082

Subgroups — C2×#13077522 #15618082

Order 2816.

2674 conjugacy classes of subgroups.

The subgroup lattice has 668 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10623353C211yesmaximal, characteristic
2C2×#10623350C211yesmaximal, characteristic, complemented
3C2×#10623276C211yesmaximal, characteristic, complemented
4#13077522C2116yesmaximal, direct product factor
5C2×#10622436C214yesmaximal, complemented
6C2×#10622437C214yesmaximal, complemented
7C2×#10622737C211yesmaximal, characteristic, complemented
8C22×#66869C211yesmaximal, characteristic, complemented
9C2×C4×#4318C211yesmaximal, characteristic, complemented
10C22×C11×#104C211yesmaximal, characteristic, complemented
11C22×C11×#41C2211yescharacteristic
12C22×#4339C2211yescharacteristic
13C22×C11×M16C2211yescharacteristic
14C22×C42×C11C2211yescharacteristic
15C2×#67004C412yescomplemented
16#10623353C418yescomplemented
17#10623353C2218yes—
18C2×#67003C2214yes—
19C2×#67002C412yescomplemented
20#10623350—24no—
21#10623350C2218yescomplemented
22C2×#67001—22no—
23C2×#67001C2214yescomplemented
24C2×#66995C412yescomplemented
25C2×#66985C412yescomplemented
26C22×#4318—22no—
27C22×#4318C2211yescharacteristic
28C22×#4318C2211yescharacteristic
29C22×#4318C2211yescharacteristic
30#10623276—24no—
31#10623276C2218yescomplemented
32C2×#66960C2214yescomplemented
33C2×M16×D11—22no—
34C2×#66954—22no—
35C2×C11×#104C2212yescomplemented
36C2×C11×#104C2218yescomplemented
37C2×C11×#104C2212yescomplemented
38#10622737C2218yescomplemented
39C2×#66886C2214yescomplemented
40C2×#66869C2212yescomplemented
41C2×#66869C2218yescomplemented
42C2×#66869C2212yescomplemented
43C4×#4318C2218yescomplemented
44C2×#66867C2212yescomplemented
45C2×C4×C11⋊C8C2212yescomplemented
46#10622437C22132yescomplemented
47#10622436C22132yescomplemented
48C2×C11×#41—21no—
49C2×C11×#41—22no—
50C2×C11×#41—21no—
51C2×C11×#41—22no—
52C2×C11×#41C2×C412yes—
53C2×C11×#41C2×C414yes—
54C2×C11×#41C2312yes—
55C2×C11×#41C2314yes—
56C22×Q8×C11C2×C411yescharacteristic
57C22×D4×C11—21no—
58C22×D4×C11C2×C411yescharacteristic
59C23×C4×C11—21no—
60C23×C4×C11—21no—
61C23×C4×C11C2311yescharacteristic
62C22×C22⋊D11—21no—
63C2×#4339—21no—
64C2×#4339—22no—
65C2×#4339—21no—
66C2×#4339—22no—
67C2×#4339C2×C412yes—
68C2×#4339C2×C414yes—
69C2×#4339C2312yes—
70C2×#4339C2314yes—
71C22×D44C2×C411yescharacteristic
72C22×C4×D11—21no—
73C22×Dic22C2×C411yescharacteristic
74C2×C11×M16—21no—
75C2×C11×M16—22no—
76C2×C11×M16C2312yes—
77C2×C11×M16C2314yes—
78C22×C8×C11—21no—
79C2×C42×C11—21no—
80C2×C42×C11—22no—
81C2×C42×C11C2311yescharacteristic
82C2×C42×C11C2311yescharacteristic
83C2×C42×C11C2314yes—
84#67004C2×C4116yescomplemented
85#67003C2×C4116yescomplemented
86#67003C23116yes—
87#67002C2×C4116yescomplemented
88#67001—216no—
89#67001—28no—
90#67001C23116yescomplemented
91C2×#4326C2×C414yescomplemented
92#66995C2×C4116yescomplemented
93C2×#4325C2×C414yescomplemented
94C2×#4324C2×C414yescomplemented
95#66985C2×C4116yescomplemented
96C2×#4323C2×C414yescomplemented
97C2×#4318—21no—
98C2×#4318—22no—
99C2×#4318—216no—
100C2×#4318—24no—
101C2×#4318C2×C412yes—
102C2×#4318C2×C412yes—
103C2×#4318C2×C414yes—
104C2×#4318D412yes—
105C2×#4318D412yes—
106C2×#4318D414yes—
107C2×#4318C2312yes—
108C2×#4318C2314yes—
109C2×#4318C2314yes—
110C2×#4318C2314yes—
111C22×C11⋊C8—21no—
112C22×C11⋊C8—24no—
113C22×C11⋊C8C2312yes—
114C22×C11⋊C8C2312yes—
115#66960—28no—
116#66960C23116yescomplemented
117M16×D11—216no—
118#66954—216no—
119C2×#4313—24no—
120C2×C8×D11—24no—
121C11×#104C2318yescomplemented
122C11×#104C2318yescomplemented
123#66886C23116yescomplemented
124#66869C2318yescomplemented
125#66869C2318yescomplemented
126#66867C2318yescomplemented
127C4×C11⋊C8C2318yescomplemented
128C2×#2956—111nomaximal, Sylow
129C24×C11—21no—
130C24×C11#4111yescharacteristic
131C23×D11—21no—
132C11×#41—24no—
133C11×#41—24no—
134C11×#41—24no—
135C11×#41—24no—
136C11×#41—22no—
137C11×#41—22no—
138C11×#41—24no—
139C11×#41C22×C418yes—
140C11×#41C22×C414yes—
141C11×#41C2414yes—
142C2×Q8×C11—21no—
143C2×Q8×C11—22no—
144C2×Q8×C11C22×C412yes—
145C2×Q8×C11C22×C414yes—
146C2×D4×C11—22no—
147C2×D4×C11—24no—
148C2×D4×C11—22no—
149C2×D4×C11—24no—
150C2×D4×C11—21no—
151C2×D4×C11—22no—
152C2×D4×C11C22×C412yes—
153C2×D4×C11C22×C414yes—
154C22×C4×C11—21no—
155C22×C4×C11—21no—
156C22×C4×C11—22no—
157C22×C4×C11—24no—
158C22×C4×C11—22no—
159C22×C4×C11—24no—
160C22×C4×C11—24no—
161C22×C4×C11—21no—
162C22×C4×C11—44no—
163C22×C4×C11C22×C411yescharacteristic
164C22×C4×C11C22×C411yescharacteristic
165C22×C4×C11C22×C412yes—
166C22×C4×C11C2×D411yescharacteristic
167C22×C4×C11C2×D411yescharacteristic
168C22×C4×C11C2×D412yes—
169C22×C4×C11#4111yescharacteristic
170C22×C4×C11#4112yes—
171C22×C4×C11C2411yescharacteristic
172C22×C4×C11C2412yes—
173C2×C22⋊D11—22no—
174C2×C22⋊D11—24no—
175C2×C22⋊D11—22no—
176C2×C22⋊D11—24no—
177C22×Dic11—21no—
178#4339—24no—
179#4339—24no—
180#4339—24no—
181#4339—24no—
182#4339—22no—
183#4339—22no—
184#4339—24no—
185#4339C22×C418yes—
186#4339C22×C414yes—
187#4339C2414yes—
188C2×D44—21no—
189C2×D44—22no—
190C2×D44C22×C412yes—
191C2×D44C22×C414yes—
192C2×C4×D11—22no—
193C2×C4×D11—24no—
194C2×C4×D11—22no—
195C2×C4×D11—24no—
196C2×Dic22—21no—
197C2×Dic22—22no—
198C2×Dic22C22×C412yes—
199C2×Dic22C22×C414yes—
200C11×M16—24no—
201C11×M16—22no—
202C11×M16C2414yes—
203C2×C8×C11—22no—
204C2×C8×C11—24no—
205C42×C11—21no—
206C42×C11—24no—
207C42×C11—21no—
208C42×C11C2412yes—
209C42×C11C2412yes—
210#4326C22×C4116yescomplemented
211#4325C22×C4116yescomplemented
212#4324C22×C4116yescomplemented
213#4323C22×C4116yescomplemented
214#4318—216no—
215#4318—24no—
216#4318—22no—
217#4318C22×C418yes—
218#4318C22×C418yes—
219#4318C2×D418yes—
220#4318C2×D418yes—
221#4318C2414yes—
222C2×C11⋊C8—216no—
223C2×C11⋊C8—22no—
224C2×C11⋊C8—24no—
225C2×C11⋊C8C22×C414yes—
226C2×C11⋊C8C22×C414yes—
227C2×C11⋊C8C2×D414yes—
228C2×C11⋊C8C2×D414yes—
229C2×C11⋊C8C2414yes—
230C2×C11⋊C8C2414yes—
231#4313—216no—
232C8×D11—216no—
233C2×#575—111no—
234C2×#568—111no—
235C2×#568—111no—
236#2956—1116no—
237C2×#444—114no—
238C2×#443—114no—
239C2×#430—111no—
240C22×#104—111no—
241C22×#104D1111yescharacteristic, complemented
242C2×C4×M16—111no—
243C23×C11—22no—
244C23×C11—24no—
245C23×C11—42no—
246C23×C11—82no—
247C23×C11C4×D411yescharacteristic
248C23×C11C4×D411yescharacteristic
249C23×C11C4×D412yes—
250C23×C11C2×#4111yescharacteristic
251C23×C11C2×#4112yes—
252C22×D11—22no—
253C22×D11—24no—
254C22×D11—82no—
255Q8×C11—22no—
256Q8×C11—24no—
257Q8×C11C23×C414yes—
258D4×C11—28no—
259D4×C11—24no—
260D4×C11—24no—
261D4×C11—22no—
262D4×C11—24no—
263D4×C11C23×C414yes—
264C2×C4×C11—24no—
265C2×C4×C11—24no—
266C2×C4×C11—22no—
267C2×C4×C11—22no—
268C2×C4×C11—28no—
269C2×C4×C11—24no—
270C2×C4×C11—24no—
271C2×C4×C11—22no—
272C2×C4×C11—48no—
273C2×C4×C11—42no—
274C2×C4×C11C4×D411yescharacteristic
275C2×C4×C11C4×D412yes—
276C2×C4×C11C4×D411yescharacteristic
277C2×C4×C11C4×D412yes—
278C2×C4×C11C4×D412yes—
279C2×C4×C11C4×D412yes—
280C2×C4×C11C4×D412yes—
281C2×C4×C11C23×C411yescharacteristic
282C2×C4×C11C23×C411yescharacteristic
283C2×C4×C11C23×C412yes—
284C2×C4×C11C23×C412yes—
285C2×C4×C11C22×D412yes—
286C2×C4×C11C22×D411yescharacteristic
287C2×C4×C11C22×D412yes—
288C2×C4×C11C22×D411yescharacteristic
289C2×C4×C11C2×#4112yes—
290C2×C4×C11C2×#4111yescharacteristic
291C2×C4×C11C2511yescharacteristic
292C22⋊D11—28no—
293C22⋊D11—24no—
294C22⋊D11—24no—
295C2×Dic11—24no—
296C2×Dic11—22no—
297D44—24no—
298D44—22no—
299D44C23×C414yes—
300C4×D11—24no—
301C4×D11—28no—
302C4×D11—24no—
303Dic22—24no—
304Dic22—22no—
305Dic22C23×C414yes—
306C8×C11—24no—
307C11⋊C8—24no—
308C11⋊C8C23×C418yes—
309C11⋊C8C22×D418yes—
310C22×#41—111no—
311C22×#41C2×D1111yescharacteristic
312#575—118no—
313#575—118no—
314C2×#137—112no—
315C2×#137—112no—
316C2×AGL(1,ℤ/8)—112no—
317C2×AGL(1,ℤ/8)—112no—
318C2×#135—114no—
319#568—118no—
320#568—118no—
321#568—224no—
322#568—224no—
323C2×#131—114no—
324C2×#131—114no—
325C2×#131—222no—
326C2×#131—222no—
327C22×M16—111no—
328C22×M16—111no—
329C22×M16—111no—
330C22×M16—222no—
331C22×M16—222no—
332C22×M16C2×D1111yescharacteristic
333C22×C42C2×D1111yescharacteristic
334#444—1132no—
335#443—1132no—
336#430—118no—
337C2×#108—114no—
338C2×#104—112no—
339C2×#104—112no—
340C2×#104—118no—
341C2×#104C2×D1112yescomplemented
342C2×#104C2×D1112yescomplemented
343C2×#104C2×D1118yescomplemented
344C4×M16—118no—
345C2×#97—112no—
346C2×C4×C8—112no—
347C22×C11—22no—
348C22×C11—22no—
349C22×C11—22no—
350C22×C11—24no—
351C22×C11—42no—
352C22×C11—42no—
353C22×C11—44no—
354C22×C11—84no—
355C22×C11C2×C4×D412yes—
356C22×C11C2×C4×D412yes—
357C22×C11C2×C4×D411yescharacteristic
358C22×C11C2×C4×D411yescharacteristic
359C22×C11C22×#4111yescharacteristic
360C2×D11—24no—
361C2×D11—44no—
362C2×D11—84no—
363C4×C11—24no—
364C4×C11—24no—
365C4×C11—42no—
366C4×C11C2×C4×D412yes—
367C4×C11C2×C4×D411yescharacteristic
368C4×C11C2×C4×D411yescharacteristic
369C4×C11C2×C4×D412yes—
370C4×C11C24×C411yescharacteristic
371C4×C11C23×D411yescharacteristic
372Dic11—24no—
373C2×#41—21no—
374C2×#41—22no—
375C2×#41—21no—
376C2×#41—22no—
377C2×#41—112no—
378C2×#41—114no—
379C2×#41—112no—
380C2×#41—114no—
381C2×#41—221no—
382C2×#41—222no—
383C2×#41—221no—
384C2×#41—222no—
385C2×#41C4×D1112yes—
386C2×#41C4×D1114yes—
387C2×#41C22×D1112yes—
388C2×#41C22×D1114yes—
389C22×Q8—111no—
390C22×Q8C4×D1111yescharacteristic
391C22×D4—21no—
392C22×D4—111no—
393C22×D4—221no—
394C22×D4C4×D1111yescharacteristic
395C23×C4—21no—
396C23×C4—21no—
397C23×C4—221no—
398C23×C4C22×D1111yescharacteristic
399#137—1116no—
400#137—1116no—
401AGL(1,ℤ/8)—1116no—
402AGL(1,ℤ/8)—1116no—
403#135—1116no—
404#135—1116no—
405C2×Q16—114no—
406C2×SD16—114no—
407C2×SD16—114no—
408C2×D8—114no—
409#131—1116no—
410#131—1116no—
411#131—2216no—
412#131—228no—
413#131—228no—
414#131—2216no—
415C2×M16—21no—
416C2×M16—22no—
417C2×M16—112no—
418C2×M16—112no—
419C2×M16—114no—
420C2×M16—112no—
421C2×M16—112no—
422C2×M16—114no—
423C2×M16—114no—
424C2×M16—114no—
425C2×M16—112no—
426C2×M16—114no—
427C2×M16—224no—
428C2×M16—224no—
429C2×M16—2216no—
430C2×M16—2216no—
431C2×M16—221no—
432C2×M16—222no—
433C2×M16C22×D1112yes—
434C2×M16C22×D1114yes—
435C22×C8—21no—
436C22×C8—112no—
437C22×C8—112no—
438C22×C8—224no—
439C22×C8—224no—
440C22×C8—221no—
441C2×C42—21no—
442C2×C42—22no—
443C2×C42C22×D1111yescharacteristic
444C2×C42C22×D1111yescharacteristic
445C2×C42C22×D1114yes—
446#108—1116no—
447#104—118no—
448#104—118no—
449#104C22×D1118yescomplemented
450#104C22×D1118yescomplemented
451#97—118no—
452C4×C8—118no—
453C2×C11—21no—
454C2×C11—22no—
455C2×C11—22no—
456C2×C11—21no—
457C2×C11—44no—
458C2×C11#295612yescomplemented
459C2×C11C22×C4×D411yescharacteristic
460D11—44no—
461C24—21no—
462C24—221no—
463C24#434111yescharacteristic
464#41—24no—
465#41—24no—
466#41—24no—
467#41—22no—
468#41—24no—
469#41—22no—
470#41—24no—
471#41—114no—
472#41—118no—
473#41—114no—
474#41—224no—
475#41—224no—
476#41—224no—
477#41—224no—
478#41—222no—
479#41—222no—
480#41—224no—
481#41C2×C4×D1114yes—
482#41C2×C4×D1118yes—
483#41C23×D1114yes—
484C2×Q8—21no—
485C2×Q8—22no—
486C2×Q8—112no—
487C2×Q8—114no—
488C2×Q8—221no—
489C2×Q8—222no—
490C2×Q8C2×C4×D1112yes—
491C2×Q8C2×C4×D1114yes—
492C2×D4—22no—
493C2×D4—24no—
494C2×D4—22no—
495C2×D4—24no—
496C2×D4—21no—
497C2×D4—22no—
498C2×D4—112no—
499C2×D4—114no—
500C2×D4—222no—
501C2×D4—224no—
502C2×D4—222no—
503C2×D4—224no—
504C2×D4—221no—
505C2×D4—222no—
506C2×D4C2×C4×D1112yes—
507C2×D4C2×C4×D1114yes—
508C22×C4—21no—
509C22×C4—21no—
510C22×C4—22no—
511C22×C4—24no—
512C22×C4—24no—
513C22×C4—22no—
514C22×C4—24no—
515C22×C4—21no—
516C22×C4—44no—
517C22×C4—221no—
518C22×C4—222no—
519C22×C4—224no—
520C22×C4—224no—
521C22×C4—222no—
522C22×C4C2×C4×D1111yescharacteristic
523C22×C4C2×C4×D1111yescharacteristic
524C22×C4C2×C4×D1112yes—
525C22×C4D4×D1112yes—
526C22×C4D4×D1111yescharacteristic
527C22×C4D4×D1111yescharacteristic
528C22×C4#434111yescharacteristic
529C22×C4#434112yes—
530C22×C4C23×D1112yes—
531C22×C4C23×D1111yescharacteristic
532Q16—1116no—
533SD16—1116no—
534SD16—1116no—
535D8—1116no—
536M16—24no—
537M16—22no—
538M16—118no—
539M16—118no—
540M16—118no—
541M16—118no—
542M16—114no—
543M16—2216no—
544M16—2216no—
545M16—224no—
546M16—222no—
547M16C23×D1114yes—
548C2×C8—24no—
549C2×C8—22no—
550C2×C8—114no—
551C2×C8—114no—
552C2×C8—114no—
553C2×C8—114no—
554C2×C8—114no—
555C2×C8—114no—
556C2×C8—2216no—
557C2×C8—2216no—
558C2×C8—224no—
559C2×C8—222no—
560C42—21no—
561C42—24no—
562C42—21no—
563C42C23×D1112yes—
564C42C23×D1112yes—
565C11C2×#295611yescharacteristic, complemented, Sylow
566C23—22no—
567C23—24no—
568C23—42no—
569C23—82no—
570C23—222no—
571C23—224no—
572C23—882no—
573C23(C22⋊D11)⋊C411yescharacteristic
574C23(C22⋊D11)⋊C411yescharacteristic
575C23(C22⋊D11)⋊C412yes—
576C23C2×#434111yescharacteristic
577C23C2×#434112yes—
578Q8—24no—
579Q8—22no—
580Q8—114no—
581Q8—224no—
582Q8—222no—
583Q8C22×C4×D1114yes—
584D4—28no—
585D4—24no—
586D4—24no—
587D4—24no—
588D4—22no—
589D4—114no—
590D4—228no—
591D4—224no—
592D4—224no—
593D4—224no—
594D4—222no—
595D4C22×C4×D1114yes—
596C2×C4—24no—
597C2×C4—24no—
598C2×C4—22no—
599C2×C4—22no—
600C2×C4—24no—
601C2×C4—28no—
602C2×C4—24no—
603C2×C4—22no—
604C2×C4—48no—
605C2×C4—42no—
606C2×C4—224no—
607C2×C4—222no—
608C2×C4—224no—
609C2×C4—228no—
610C2×C4—224no—
611C2×C4(C22⋊D11)⋊C411yescharacteristic
612C2×C4(C22⋊D11)⋊C412yes—
613C2×C4(C22⋊D11)⋊C411yescharacteristic
614C2×C4(C22⋊D11)⋊C412yes—
615C2×C4(C22⋊D11)⋊C412yes—
616C2×C4(C22⋊D11)⋊C412yes—
617C2×C4(C22⋊D11)⋊C412yes—
618C2×C4C22×C4×D1111yescharacteristic
619C2×C4C22×C4×D1111yescharacteristic
620C2×C4C22×C4×D1112yes—
621C2×C4C22×C4×D1112yes—
622C2×C4C2×D4×D1112yes—
623C2×C4C2×D4×D1111yescharacteristic
624C2×C4C2×D4×D1112yes—
625C2×C4C2×D4×D1111yescharacteristic
626C2×C4C2×#434111yescharacteristic
627C2×C4C2×#434112yes—
628C2×C4C24×D1111yescharacteristic
629C8—24no—
630C8—118no—
631C8—118no—
632C8—224no—
633C22—22no—
634C22—22no—
635C22—22no—
636C22—24no—
637C22—42no—
638C22—42no—
639C22—44no—
640C22—84no—
641C22—224no—
642C22—444no—
643C22—884no—
644C22C2×(C22⋊D11)⋊C412yes—
645C22C2×(C22⋊D11)⋊C412yes—
646C22C2×(C22⋊D11)⋊C411yescharacteristic
647C22C2×(C22⋊D11)⋊C411yescharacteristic
648C22C22×#434111yescharacteristic
649C4—24no—
650C4—24no—
651C4—42no—
652C4—224no—
653C4C2×(C22⋊D11)⋊C411yescharacteristic
654C4C2×(C22⋊D11)⋊C412yes—
655C4C2×(C22⋊D11)⋊C412yes—
656C4C2×(C22⋊D11)⋊C411yescharacteristic
657C4C23×C4×D1111yescharacteristic
658C4C22×D4×D1111yescharacteristic
659C2—21no—
660C2—22no—
661C2—22no—
662C2—21no—
663C2—44no—
664C2—444no—
665C2#1307752212yesdirect product factor
666C2C22×(C22⋊D11)⋊C411yescharacteristic
subgroupG/H
centerC2×C4C2×D4×D11
commutatorC4×C11C24×C4
FrattiniC2×C4C24×D11
FittingC22×C11×#104C2
socleC22×C11C2×C4×D4
prime radicalC2×#10623353C2
cosocleC2×C4×C11C25
hypercenterC22×#104D11
hypocenterC11C2×#2956
LCSG ▷ C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C2×C4 ◁ C23×C4 ◁ C22×#104

Complements

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

NH ≅ G/Ntype
2. C2×#10623350C2semidirect
3. C2×#10623276C2semidirect
4. #13077522C2direct (N × H)
5. C2×#10622436C2semidirect
6. C2×#10622437C2semidirect
7. C2×#10622737C2semidirect
8. C22×#66869C2semidirect
9. C2×C4×#4318C2semidirect
10. C22×C11×#104C2semidirect
15. C2×#67004C4semidirect
16. #10623353C4semidirect
19. C2×#67002C4semidirect
21. #10623350C22semidirect
23. C2×#67001C22semidirect
24. C2×#66995C4semidirect
25. C2×#66985C4semidirect
31. #10623276C22semidirect
32. C2×#66960C22semidirect
35. C2×C11×#104C22semidirect
36. C2×C11×#104C22semidirect
37. C2×C11×#104C22semidirect
38. #10622737C22semidirect
39. C2×#66886C22semidirect
40. C2×#66869C22semidirect
41. C2×#66869C22semidirect
42. C2×#66869C22semidirect
43. C4×#4318C22semidirect
44. C2×#66867C22semidirect
45. C2×C4×C11⋊C8C22semidirect
46. #10622437C22semidirect
47. #10622436C22semidirect
84. #67004C2×C4semidirect
85. #67003C2×C4semidirect
87. #67002C2×C4semidirect
90. #67001C23semidirect
91. C2×#4326C2×C4semidirect
92. #66995C2×C4semidirect
93. C2×#4325C2×C4semidirect
94. C2×#4324C2×C4semidirect
95. #66985C2×C4semidirect
96. C2×#4323C2×C4semidirect
116. #66960C23semidirect
121. C11×#104C23semidirect
122. C11×#104C23semidirect
123. #66886C23semidirect
124. #66869C23semidirect
125. #66869C23semidirect
126. #66867C23semidirect
127. C4×C11⋊C8C23semidirect
210. #4326C22×C4semidirect
211. #4325C22×C4semidirect
212. #4324C22×C4semidirect
213. #4323C22×C4semidirect
241. C22×#104D11semidirect
341. C2×#104C2×D11semidirect
342. C2×#104C2×D11semidirect
343. C2×#104C2×D11semidirect
449. #104C22×D11semidirect
450. #104C22×D11semidirect
458. C2×C11#2956semidirect
565. C11C2×#2956semidirect
665. C2#13077522direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#106233532
C2×#106233502
C2×#106232762
#130775222
C2×#106224362
C2×#106224372
C2×#106227372
C22×#668692
C2×C4×#43182
C22×C11×#1042
C2×#295611