Finite Group Databasebeta

← C2×#13078010 #15620497

Subgroups — C2×#13078010 #15620497

Order 2816.

5086 conjugacy classes of subgroups.

The subgroup lattice has 766 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10623453C211yesmaximal, characteristic, complemented
2C2×#10623055C212yesmaximal, complemented
3C2×#10623359C211yesmaximal, characteristic, complemented
4#13078010C2116yesmaximal, direct product factor
5C2×#10622355C214yesmaximal, complemented
6C2×#10622354C214yesmaximal, complemented
7C2×#10622619C212yesmaximal, complemented
8C2×C11×#410C211yesmaximal, characteristic, complemented
9C22×C11×#41C2211yescharacteristic
10#10623453—24no—
11#10623453—28no—
12#10623453C2218yescomplemented
13C2×#67043—22no—
14C2×#67042—22no—
15C2×#41×D11—24no—
16C2×#67040—21no—
17C2×#67037—21no—
18C2×#67037C2214yes—
19C22×#4339—22no—
20C22×#4339C2212yes—
21C23×C4×D11C2211yescharacteristic, complemented
22C2×C11×#117C2212yescomplemented
23#10623359—24no—
24#10623359C2218yescomplemented
25C2×#66999—21no—
26C2×#66991—21no—
27C2×#66990C2212yescomplemented
28C2×#66988C2212yescomplemented
29C2×C4×C22⋊D11—22no—
30C2×#66979C2211yescharacteristic, complemented
31#10623055—28no—
32#10623055C22116yescomplemented
33C2×#66950—22no—
34C2×#66948—22no—
35C2×#66939C2214yescomplemented
36C2×#66935C2214yescomplemented
37C2×C4×D44—24no—
38C11×#410C2218yescomplemented
39C2×C11×#99C2214yescomplemented
40#10622619C22116yescomplemented
41C2×#66870C2218yescomplemented
42#10622355C22132yescomplemented
43#10622354C22132yescomplemented
44C24×D11C2311yescharacteristic
45C2×C11×#41—22no—
46C2×C11×#41—22no—
47C2×C11×#41—24no—
48C2×C11×#41D414yescomplemented
49C2×C11×#41C2314yes—
50C22×Q8×C11D411yescharacteristic, complemented
51C22×D4×C11D411yescharacteristic, complemented
52C22×D4×C11C2312yes—
53C23×C4×C11D412yescomplemented
54C23×C4×C11C2311yescharacteristic
55C22×C22⋊D11—24no—
56C22×C22⋊D11—22no—
57C22×C22⋊D11C2314yes—
58C23×Dic11C2311yescharacteristic
59#67043—216no—
60#67043—216no—
61#67042—216no—
62#67042—216no—
63#41×D11—232no—
64#41×D11—232no—
65#67040—28no—
66#67040—28no—
67C2×#4343—24no—
68C2×Q8×D11—24no—
69#67037—28no—
70#67037—28no—
71#67037—28no—
72#67037—216no—
73#67037C23116yes—
74C2×#4341—24no—
75C2×#4341—28no—
76C2×D4×D11—24no—
77C2×D4×D11—28no—
78C2×#4339—24no—
79C2×#4339—24no—
80C2×#4339—216no—
81C2×#4339—22no—
82C2×#4339—24no—
83C2×#4339—22no—
84C2×#4339—22no—
85C2×#4339—22no—
86C2×#4339—24no—
87C2×#4339—24no—
88C2×#4339—216no—
89C2×#4339D418yescomplemented
90C2×#4339C2318yes—
91C22×D44—22no—
92C22×D44—24no—
93C22×D44D412yescomplemented
94C22×C4×D11—24no—
95C22×C4×D11—22no—
96C22×C4×D11—22no—
97C22×C4×D11—24no—
98C22×C4×D11—21no—
99C22×C4×D11—21no—
100C22×C4×D11—22no—
101C22×C4×D11D414yescomplemented
102C22×C4×D11C2314yescomplemented
103C22×Dic22—22no—
104C22×Dic22D412yescomplemented
105C11×#117—24no—
106C11×#117C2318yescomplemented
107C2×C11×C4⋊C4—22no—
108C2×C11×C22⋊C4C2314yes—
109C2×C42×C11—22no—
110C2×C22⋊Dic11—22no—
111C2×C22⋊Dic11C2312yes—
112#66999—28no—
113#66991—28no—
114#66990—24no—
115#66990C2318yescomplemented
116#66988—24no—
117#66988C2318yescomplemented
118C4×C22⋊D11—216no—
119C2×(C2×D11)⋊C4—24no—
120C2×(C2×D11)⋊C4—22no—
121C2×(C2×D11)⋊C4—24no—
122#66979—22no—
123#66979C2314yescomplemented
124C2×C4⋊Dic11—21no—
125C2×C4⋊Dic11—24no—
126C2×Dic11⋊C4—22no—
127C2×C4×Dic11—21no—
128#66950—216no—
129#66948—216no—
130#66939—28no—
131#66939C23116yescomplemented
132#66935—28no—
133#66935C23116yescomplemented
134C4×D44—232no—
135C11×#99C23116yescomplemented
136#66870C23132yescomplemented
137C2×#3025—111nomaximal, Sylow
138C24×C11C2×D412yes—
139C24×C11C2411yescharacteristic
140C23×D11—22no—
141C23×D11—21no—
142C23×D11—24no—
143C23×D11—22no—
144C23×D11—21no—
145C23×D11—44no—
146C23×D11C2×D414yes—
147C23×D11C2412yes—
148C11×#41—28no—
149C11×#41—28no—
150C11×#41—28no—
151C11×#41—28no—
152C2×Q8×C11—22no—
153C2×Q8×C11—22no—
154C2×Q8×C11C2×D414yescomplemented
155C2×D4×C11—24no—
156C2×D4×C11—24no—
157C2×D4×C11—22no—
158C2×D4×C11—22no—
159C2×D4×C11C2×D414yes—
160C2×D4×C11C2×D414yescomplemented
161C2×D4×C11C2414yes—
162C22×C4×C11—22no—
163C22×C4×C11—22no—
164C22×C4×C11—24no—
165C22×C4×C11—24no—
166C22×C4×C11C2×D412yes—
167C22×C4×C11C2×D411yescharacteristic
168C22×C4×C11C2×D411yescharacteristic
169C22×C4×C11C2×D412yes—
170C22×C4×C11C2×D412yes—
171C22×C4×C11C2×D412yes—
172C22×C4×C11C2×D414yes—
173C22×C4×C11C2×D418yescomplemented
174C22×C4×C11C2412yes—
175C2×C22⋊D11—28no—
176C2×C22⋊D11—216no—
177C2×C22⋊D11—24no—
178C2×C22⋊D11—24no—
179C2×C22⋊D11—24no—
180C2×C22⋊D11—24no—
181C2×C22⋊D11—216no—
182C2×C22⋊D11—28no—
183C2×C22⋊D11—48no—
184C2×C22⋊D11C2×D418yes—
185C2×C22⋊D11C2418yes—
186C22×Dic11—24no—
187C22×Dic11—22no—
188C22×Dic11—22no—
189C22×Dic11—21no—
190C22×Dic11—22no—
191C22×Dic11—21no—
192C22×Dic11C2×D414yes—
193C22×Dic11C2412yes—
194#4343—232no—
195Q8×D11—232no—
196#4341—232no—
197#4341—232no—
198#4341—232no—
199D4×D11—232no—
200D4×D11—232no—
201D4×D11—232no—
202#4339—216no—
203#4339—232no—
204#4339—232no—
205#4339—28no—
206#4339—28no—
207#4339—28no—
208#4339—28no—
209#4339—28no—
210#4339—216no—
211#4339—28no—
212#4339—28no—
213#4339—28no—
214C2×D44—24no—
215C2×D44—216no—
216C2×D44—216no—
217C2×D44—22no—
218C2×D44—22no—
219C2×D44—24no—
220C2×D44—416no—
221C2×D44C2×D418yescomplemented
222C2×C4×D11—28no—
223C2×C4×D11—232no—
224C2×C4×D11—24no—
225C2×C4×D11—24no—
226C2×C4×D11—28no—
227C2×C4×D11—28no—
228C2×C4×D11—28no—
229C2×C4×D11—24no—
230C2×C4×D11—24no—
231C2×C4×D11—41no—
232C2×C4×D11—42no—
233C2×C4×D11—44no—
234C2×C4×D11—44no—
235C2×C4×D11—42no—
236C2×C4×D11—42no—
237C2×C4×D11—41no—
238C2×C4×D11C2×D4116yescomplemented
239C2×Dic22—24no—
240C2×Dic22—216no—
241C2×Dic22—22no—
242C2×Dic22—22no—
243C2×Dic22—24no—
244C2×Dic22C2×D418yescomplemented
245C11×C4⋊C4—28no—
246C11×C22⋊C4—24no—
247C11×C22⋊C4C2418yes—
248C42×C11—28no—
249C22⋊Dic11—22no—
250C22⋊Dic11—28no—
251C22⋊Dic11C2414yes—
252(C2×D11)⋊C4—216no—
253(C2×D11)⋊C4—216no—
254(C2×D11)⋊C4—28no—
255C4⋊Dic11—216no—
256C4⋊Dic11—24no—
257Dic11⋊C4—28no—
258C4×Dic11—24no—
259C2×#585—111no—
260C2×#525—111no—
261C2×#525—112no—
262#3025—1116no—
263C2×#458—114no—
264C2×B(4,𝔽2)—114no—
265C2×#410—112no—
266C2×#410D1111yescharacteristic, complemented
267C23×C11—22no—
268C23×C11—22no—
269C23×C11—42no—
270C23×C11—44no—
271C23×C11C22×D411yescharacteristic
272C23×C11C22×D414yes—
273C23×C11C22×D411yescharacteristic
274C23×C11C22×D412yes—
275C23×C11C22×D412yes—
276C23×C11C2511yescharacteristic
277C22×D11—28no—
278C22×D11—24no—
279C22×D11—24no—
280C22×D11—24no—
281C22×D11—22no—
282C22×D11—216no—
283C22×D11—24no—
284C22×D11—44no—
285C22×D11—48no—
286C22×D11—44no—
287C22×D11—44no—
288C22×D11—42no—
289C22×D11—41no—
290C22×D11—42no—
291C22×D11—41no—
292C22×D11—48no—
293C22×D11—88no—
294C22×D11C22×D418yes—
295Q8×C11—28no—
296D4×C11—28no—
297D4×C11—28no—
298D4×C11—28no—
299C2×C4×C11—22no—
300C2×C4×C11—22no—
301C2×C4×C11—28no—
302C2×C4×C11—28no—
303C2×C4×C11—28no—
304C2×C4×C11—48no—
305C2×C4×C11#12011yescharacteristic
306C2×C4×C11#12012yes—
307C2×C4×C11#12014yes—
308C2×C4×C11#12014yes—
309C2×C4×C11#12012yes—
310C2×C4×C11#12012yes—
311C2×C4×C11#12011yescharacteristic
312C2×C4×C11C22×D414yes—
313C2×C4×C11C22×D412yes—
314C2×C4×C11C22×D412yes—
315C2×C4×C11C22×D414yes—
316C2×C4×C11C22×D414yes—
317C22⋊D11—232no—
318C22⋊D11—28no—
319C22⋊D11—28no—
320C22⋊D11—28no—
321C22⋊D11—28no—
322C22⋊D11—416no—
323C2×Dic11—216no—
324C2×Dic11—24no—
325C2×Dic11—24no—
326C2×Dic11—24no—
327C2×Dic11—22no—
328C2×Dic11—24no—
329C2×Dic11—44no—
330C2×Dic11—41no—
331C2×Dic11—42no—
332C2×Dic11—41no—
333C2×Dic11C22×D418yes—
334D44—216no—
335D44—28no—
336D44—28no—
337D44—432no—
338C4×D11—232no—
339C4×D11—216no—
340C4×D11—216no—
341C4×D11—44no—
342C4×D11—44no—
343C4×D11—48no—
344Dic22—216no—
345Dic22—28no—
346Dic22—28no—
347#585—118no—
348#585—228no—
349#585—224no—
350C2×2−1+4—222no—
351C2×2−1+4—221no—
352C2×H(5,𝔽2)—114no—
353C2×H(5,𝔽2)—222no—
354C2×H(5,𝔽2)—221no—
355C22×#41—112no—
356C22×#41—224no—
357C22×#41—222no—
358C22×#41C2×D1111yescharacteristic
359C24×C4—111no—
360#525—118no—
361#525—1116no—
362#525—228no—
363#525—224no—
364C2×#123—112no—
365C2×#123—114no—
366C2×C22⋊Q8—222no—
367C2×C22⋊Q8—221no—
368C2×#121—222no—
369C2×#121—221no—
370C2×#120—112no—
371C2×#120—114no—
372C2×C4×D4—224no—
373C2×C4×D4—222no—
374C2×#117—111no—
375C2×#117C2×D1112yescomplemented
376#458—1132no—
377B(4,𝔽2)—1132no—
378#410—1116no—
379#410C2×D1118yescomplemented
380C2×#99—118no—
381C2×#99C2×D1114yescomplemented
382C22×C11—24no—
383C22×C11—22no—
384C22×C11—24no—
385C22×C11—41no—
386C22×C11—42no—
387C22×C11—41no—
388C22×C11—44no—
389C22×C11—44no—
390C22×C11—82no—
391C22×C11C2×#12011yescharacteristic
392C22×C11C2×#12012yes—
393C22×C11C2×#12011yescharacteristic
394C22×C11C23×D411yescharacteristic
395C22×C11C23×D412yes—
396C2×D11—28no—
397C2×D11—24no—
398C2×D11—28no—
399C2×D11—42no—
400C2×D11—44no—
401C2×D11—48no—
402C2×D11—44no—
403C2×D11—42no—
404C2×D11—44no—
405C2×D11—48no—
406C2×D11—48no—
407C2×D11—84no—
408C2×D11—816no—
409C4×C11—24no—
410C4×C11—48no—
411C4×C11C2×#12012yes—
412C4×C11C2×#12012yes—
413C4×C11C2×#12014yes—
414Dic11—28no—
415Dic11—44no—
416Dic11—42no—
417C25—111no—
4182−1+4—228no—
4192−1+4—2216no—
4202−1+4—2216no—
4212−1+4—228no—
422H(5,𝔽2)—1116no—
423H(5,𝔽2)—2216no—
424H(5,𝔽2)—228no—
425H(5,𝔽2)—2216no—
426H(5,𝔽2)—2216no—
427H(5,𝔽2)—228no—
428H(5,𝔽2)—228no—
429C2×#41—22no—
430C2×#41—22no—
431C2×#41—24no—
432C2×#41—118no—
433C2×#41—118no—
434C2×#41—224no—
435C2×#41—224no—
436C2×#41—2216no—
437C2×#41—228no—
438C2×#41—2232no—
439C2×#41—224no—
440C2×#41—224no—
441C2×#41—2232no—
442C2×#41—222no—
443C2×#41—222no—
444C2×#41—224no—
445C2×#41—224no—
446C2×#41—2216no—
447C2×#41—222no—
448C2×#41—222no—
449C2×#41—224no—
450C2×#41D4414yescomplemented
451C2×#41C22×D1114yes—
452C22×Q8—112no—
453C22×Q8—222no—
454C22×Q8—224no—
455C22×Q8D4411yescharacteristic, complemented
456C22×D4—114no—
457C22×D4—112no—
458C22×D4—222no—
459C22×D4—224no—
460C22×D4—228no—
461C22×D4—224no—
462C22×D4—224no—
463C22×D4—222no—
464C22×D4D4411yescharacteristic, complemented
465C22×D4C22×D1112yes—
466C23×C4—114no—
467C23×C4—111no—
468C23×C4—114no—
469C23×C4—224no—
470C23×C4—221no—
471C23×C4—221no—
472C23×C4—222no—
473C23×C4—222no—
474C23×C4—222no—
475C23×C4—224no—
476C23×C4D4412yescomplemented
477C23×C4C22×D1111yescharacteristic
478#123—118no—
479#123—1116no—
480#123—228no—
481#123—224no—
482C22⋊Q8—2216no—
483C22⋊Q8—228no—
484#121—2216no—
485#121—228no—
486#120—118no—
487#120—1116no—
488#120—228no—
489#120—224no—
490C4×D4—2232no—
491C4×D4—2216no—
492#117—24no—
493#117—114no—
494#117—222no—
495#117C22×D1118yescomplemented
496C2×C4⋊C4—22no—
497C2×C4⋊C4—224no—
498C2×C4⋊C4—221no—
499C2×C4⋊C4—222no—
500C2×C22⋊C4—112no—
501C2×C22⋊C4—224no—
502C2×C22⋊C4—224no—
503C2×C22⋊C4—222no—
504C2×C22⋊C4—222no—
505C2×C22⋊C4C22×D1114yes—
506C2×C42—22no—
507C2×C42—221no—
508#99—1132no—
509#99C22×D11116yescomplemented
510C2×C11—21no—
511C2×C11—22no—
512C2×C11—22no—
513C2×C11—21no—
514C2×C11—44no—
515C2×C11#302512yescomplemented
516C2×C11C22×#12011yescharacteristic
517D11—44no—
518D11—48no—
519C24—114no—
520C24—112no—
521C24—224no—
522C24—221no—
523C24—222no—
524C24—221no—
525C24—222no—
526C24—444no—
527C24C2×D4412yes—
528C24C23×D1111yescharacteristic
529#41—28no—
530#41—28no—
531#41—28no—
532#41—28no—
533#41—2232no—
534#41—2216no—
535#41—2232no—
536#41—2232no—
537#41—2232no—
538#41—2232no—
539#41—2232no—
540#41—228no—
541#41—228no—
542#41—228no—
543#41—228no—
544#41—228no—
545#41—228no—
546#41—2216no—
547#41—228no—
548#41—228no—
549C2×Q8—22no—
550C2×Q8—22no—
551C2×Q8—118no—
552C2×Q8—224no—
553C2×Q8—2216no—
554C2×Q8—2232no—
555C2×Q8—222no—
556C2×Q8—222no—
557C2×Q8—224no—
558C2×Q8C2×D4414yescomplemented
559C2×D4—24no—
560C2×D4—24no—
561C2×D4—22no—
562C2×D4—22no—
563C2×D4—118no—
564C2×D4—118no—
565C2×D4—118no—
566C2×D4—224no—
567C2×D4—2216no—
568C2×D4—2216no—
569C2×D4—2232no—
570C2×D4—2232no—
571C2×D4—2232no—
572C2×D4—228no—
573C2×D4—2216no—
574C2×D4—224no—
575C2×D4—224no—
576C2×D4—2216no—
577C2×D4—224no—
578C2×D4—224no—
579C2×D4—228no—
580C2×D4—222no—
581C2×D4—222no—
582C2×D4—224no—
583C2×D4—4416no—
584C2×D4—448no—
585C2×D4C2×D4414yes—
586C2×D4C2×D4414yescomplemented
587C2×D4C23×D1114yes—
588C22×C4—22no—
589C22×C4—24no—
590C22×C4—22no—
591C22×C4—24no—
592C22×C4—114no—
593C22×C4—1116no—
594C22×C4—112no—
595C22×C4—228no—
596C22×C4—2232no—
597C22×C4—224no—
598C22×C4—224no—
599C22×C4—228no—
600C22×C4—224no—
601C22×C4—222no—
602C22×C4—221no—
603C22×C4—221no—
604C22×C4—222no—
605C22×C4—222no—
606C22×C4—224no—
607C22×C4—224no—
608C22×C4—228no—
609C22×C4—228no—
610C22×C4—441no—
611C22×C4—442no—
612C22×C4—442no—
613C22×C4—444no—
614C22×C4—442no—
615C22×C4—444no—
616C22×C4—441no—
617C22×C4C2×D4412yes—
618C22×C4C2×D4411yescharacteristic
619C22×C4C2×D4412yes—
620C22×C4C2×D4411yescharacteristic
621C22×C4C2×D4418yescomplemented
622C22×C4D4×D1112yes—
623C22×C4D4×D1114yes—
624C22×C4D4×D1112yes—
625C22×C4C23×D1112yes—
626C4⋊C4—28no—
627C4⋊C4—2216no—
628C4⋊C4—224no—
629C4⋊C4—228no—
630C22⋊C4—24no—
631C22⋊C4—114no—
632C22⋊C4—2216no—
633C22⋊C4—2216no—
634C22⋊C4—222no—
635C22⋊C4—228no—
636C22⋊C4—228no—
637C22⋊C4C23×D1118yes—
638C42—28no—
639C42—224no—
640C11C2×#302511yescharacteristic, complemented, Sylow
641C23—22no—
642C23—22no—
643C23—42no—
644C23—44no—
645C23—118no—
646C23—228no—
647C23—224no—
648C23—2216no—
649C23—224no—
650C23—222no—
651C23—224no—
652C23—224no—
653C23—444no—
654C23—442no—
655C23—448no—
656C23—444no—
657C23—444no—
658C23—448no—
659C23—441no—
660C23—442no—
661C23—441no—
662C23—888no—
663C23C22×D4411yescharacteristic
664C23C22×D4414yes—
665C23C22×D4411yescharacteristic
666C23C2×D4×D1112yes—
667C23C2×D4×D1112yes—
668C23C24×D1111yescharacteristic
669Q8—28no—
670Q8—2216no—
671Q8—228no—
672Q8—228no—
673D4—28no—
674D4—28no—
675D4—28no—
676D4—2216no—
677D4—2232no—
678D4—228no—
679D4—228no—
680D4—228no—
681D4—228no—
682D4—228no—
683D4—228no—
684D4—4432no—
685D4—4416no—
686C2×C4—22no—
687C2×C4—22no—
688C2×C4—28no—
689C2×C4—28no—
690C2×C4—28no—
691C2×C4—48no—
692C2×C4—118no—
693C2×C4—2232no—
694C2×C4—2216no—
695C2×C4—224no—
696C2×C4—224no—
697C2×C4—2216no—
698C2×C4—2216no—
699C2×C4—224no—
700C2×C4—222no—
701C2×C4—224no—
702C2×C4—444no—
703C2×C4—441no—
704C2×C4—442no—
705C2×C4—441no—
706C2×C4—444no—
707C2×C4—444no—
708C2×C4—448no—
709C2×C4#6693511yescharacteristic
710C2×C4#6693512yes—
711C2×C4#6693512yes—
712C2×C4#6693514yes—
713C2×C4#6693512yes—
714C2×C4#6693514yes—
715C2×C4#6693511yescharacteristic
716C2×C4C22×D4414yes—
717C2×C4C22×D4412yes—
718C2×C4C22×D4412yes—
719C2×C4C2×D4×D1114yes—
720C2×C4C2×D4×D1114yes—
721C22—24no—
722C22—22no—
723C22—24no—
724C22—41no—
725C22—42no—
726C22—41no—
727C22—44no—
728C22—44no—
729C22—82no—
730C22—228no—
731C22—224no—
732C22—228no—
733C22—448no—
734C22—444no—
735C22—442no—
736C22—444no—
737C22—448no—
738C22—442no—
739C22—444no—
740C22—448no—
741C22—884no—
742C22—8816no—
743C22C2×#6693511yescharacteristic
744C22C2×#6693512yes—
745C22C2×#6693511yescharacteristic
746C22C23×D4411yescharacteristic
747C22C22×D4×D1112yes—
748C4—24no—
749C4—48no—
750C4—228no—
751C4—444no—
752C4—442no—
753C4C2×#6693512yes—
754C4C2×#6693512yes—
755C4C2×#6693514yes—
756C2—22no—
757C2—21no—
758C2—21no—
759C2—22no—
760C2—44no—
761C2—444no—
762C2—448no—
763C2#1307801012yesdirect product factor
764C2C22×#6693511yescharacteristic
subgroupG/H
centerC2×C4#66935
commutator, cosocleC23×C11C25
FrattiniC23C24×D11
FittingC2×C11×#410C2
socleC22×C11C2×#120
hypercenterC2×#410D11
hypocenterC11C2×#3025
LCSG ▷ C23×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C2×C4 ◁ C23×C4 ◁ C2×#410

Complements

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

NH ≅ G/Ntype
1. C2×#10623453C2semidirect
2. C2×#10623055C2semidirect
3. C2×#10623359C2semidirect
4. #13078010C2direct (N × H)
5. C2×#10622355C2semidirect
6. C2×#10622354C2semidirect
7. C2×#10622619C2semidirect
8. C2×C11×#410C2semidirect
12. #10623453C22semidirect
21. C23×C4×D11C22semidirect
22. C2×C11×#117C22semidirect
24. #10623359C22semidirect
27. C2×#66990C22semidirect
28. C2×#66988C22semidirect
30. C2×#66979C22semidirect
32. #10623055C22semidirect
35. C2×#66939C22semidirect
36. C2×#66935C22semidirect
38. C11×#410C22semidirect
39. C2×C11×#99C22semidirect
40. #10622619C22semidirect
41. C2×#66870C22semidirect
42. #10622355C22semidirect
43. #10622354C22semidirect
48. C2×C11×#41D4semidirect
50. C22×Q8×C11D4semidirect
51. C22×D4×C11D4semidirect
53. C23×C4×C11D4semidirect
89. C2×#4339D4semidirect
93. C22×D44D4semidirect
101. C22×C4×D11D4semidirect
102. C22×C4×D11C23semidirect
104. C22×Dic22D4semidirect
106. C11×#117C23semidirect
115. #66990C23semidirect
117. #66988C23semidirect
123. #66979C23semidirect
131. #66939C23semidirect
133. #66935C23semidirect
135. C11×#99C23semidirect
136. #66870C23semidirect
154. C2×Q8×C11C2×D4semidirect
160. C2×D4×C11C2×D4semidirect
173. C22×C4×C11C2×D4semidirect
221. C2×D44C2×D4semidirect
238. C2×C4×D11C2×D4semidirect
244. C2×Dic22C2×D4semidirect
266. C2×#410D11semidirect
375. C2×#117C2×D11semidirect
379. #410C2×D11semidirect
381. C2×#99C2×D11semidirect
450. C2×#41D44semidirect
455. C22×Q8D44semidirect
464. C22×D4D44semidirect
476. C23×C4D44semidirect
495. #117C22×D11semidirect
509. #99C22×D11semidirect
515. C2×C11#3025semidirect
558. C2×Q8C2×D44semidirect
586. C2×D4C2×D44semidirect
621. C22×C4C2×D44semidirect
640. C11C2×#3025semidirect
763. C2#13078010direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#106234532
C2×#106230552
C2×#106233592
#130780102
C2×#106223552
C2×#106223542
C2×#106226192
C2×C11×#4102
C2×#302511