Finite Group Databasebeta

← C2×#13077515 #15618074

Subgroups — C2×#13077515 #15618074

Order 2816.

2666 conjugacy classes of subgroups.

The subgroup lattice has 712 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10623353C211yesmaximal, characteristic
2C22×#66960C211yesmaximal, characteristic, complemented
3C22×#67001C211yesmaximal, characteristic, complemented
4#13077515C2116yesmaximal, direct product factor
5C2×#10622436C214yesmaximal, complemented
6C2×#10622437C214yesmaximal, complemented
7C2×#10622737C211yesmaximal, characteristic, complemented
8C2×#10622618C211yesmaximal, characteristic, complemented
9C2×#10622610C211yesmaximal, characteristic, complemented
10C2×C11×#421C211yesmaximal, characteristic, complemented
11C22×C11×#41C2211yescharacteristic
12C22×#4339C2211yescharacteristic
13C22×C11×M16C2211yescharacteristic
14C2×C11×#117C2211yescharacteristic
15C2×#67004C412yescomplemented
16#10623353C418yescomplemented
17#10623353C2218yes—
18C2×#67003C2214yes—
19C2×#67002C412yescomplemented
20C2×#67001—21no—
21C2×#67001—21no—
22C2×#67001—24no—
23C2×#67001C2212yescomplemented
24C2×#67001C2218yescomplemented
25C2×#67001C2212yescomplemented
26C2×#66995C412yescomplemented
27C2×#66985C412yescomplemented
28C22×#4318—21no—
29C22×#4318C2211yescharacteristic
30C22×#4318C2211yescharacteristic
31C23×C11⋊C8—21no—
32C23×C11⋊C8C2211yescharacteristic
33C2×#66960—21no—
34C2×#66960—21no—
35C2×#66960—24no—
36C2×#66960C2212yescomplemented
37C2×#66960C2218yescomplemented
38C2×#66960C2212yescomplemented
39C22×#4313—21no—
40C22×C8×D11—21no—
41C11×#421C2218yescomplemented
42C2×C11×#104C2214yescomplemented
43#10622737C2218yescomplemented
44C2×#66886C2214yescomplemented
45#10622618C2218yescomplemented
46#10622610C2218yescomplemented
47C2×#66869C2214yescomplemented
48C2×#66867C2212yescomplemented
49C2×C4×C11⋊C8C2212yescomplemented
50#10622437C22132yescomplemented
51#10622436C22132yescomplemented
52C2×C11×#41—21no—
53C2×C11×#41—22no—
54C2×C11×#41—21no—
55C2×C11×#41—22no—
56C2×C11×#41C2×C412yes—
57C2×C11×#41C2×C414yes—
58C2×C11×#41C2312yes—
59C2×C11×#41C2314yes—
60C22×Q8×C11C2×C411yescharacteristic
61C22×D4×C11—21no—
62C22×D4×C11C2×C411yescharacteristic
63C23×C4×C11—21no—
64C23×C4×C11C2311yescharacteristic
65C22×C22⋊D11—21no—
66C2×#4339—21no—
67C2×#4339—22no—
68C2×#4339—21no—
69C2×#4339—22no—
70C2×#4339C2×C412yes—
71C2×#4339C2×C414yes—
72C2×#4339C2312yes—
73C2×#4339C2314yes—
74C22×D44C2×C411yescharacteristic
75C22×C4×D11—21no—
76C22×Dic22C2×C411yescharacteristic
77C2×C11×M16—21no—
78C2×C11×M16—22no—
79C2×C11×M16C2312yes—
80C2×C11×M16C2314yes—
81C22×C8×C11—21no—
82C11×#117—22no—
83C11×#117C2314yes—
84C2×C11×C4⋊C4—21no—
85C2×C11×C22⋊C4—21no—
86C2×C42×C11C2312yes—
87#67004C2×C4116yescomplemented
88#67003C2×C4116yes—
89#67003C23116yes—
90#67002C2×C4116yescomplemented
91#67001—28no—
92#67001—28no—
93#67001—24no—
94#67001—24no—
95#67001C2318yescomplemented
96#67001C2318yescomplemented
97C2×#4326C2×C414yes—
98#66995C2×C4116yescomplemented
99C2×#4325C2×C414yes—
100C2×#4324C2×C414yes—
101#66985C2×C4116yescomplemented
102C2×#4323C2×C414yes—
103C2×#4318—21no—
104C2×#4318—22no—
105C2×#4318—22no—
106C2×#4318—22no—
107C2×#4318—28no—
108C2×#4318C2×C412yes—
109C2×#4318C2×C412yes—
110C2×#4318C2×C414yes—
111C2×#4318C2312yes—
112C2×#4318C2314yes—
113C2×#4318C2314yes—
114C22×C11⋊C8—21no—
115C22×C11⋊C8—22no—
116C22×C11⋊C8—22no—
117C22×C11⋊C8—28no—
118C22×C11⋊C8D411yescharacteristic
119C22×C11⋊C8D411yescharacteristic
120C22×C11⋊C8D411yescharacteristic
121C22×C11⋊C8D411yescharacteristic
122C22×C11⋊C8D414yes—
123C22×C11⋊C8C2312yes—
124C22×C11⋊C8C2311yescharacteristic
125C22×C11⋊C8C2311yescharacteristic
126C22×C11⋊C8C2314yes—
127#66960—28no—
128#66960—28no—
129#66960—24no—
130#66960—24no—
131#66960C2318yescomplemented
132#66960C2318yescomplemented
133C2×#4313—22no—
134C2×#4313—22no—
135C2×#4313—28no—
136C2×C8×D11—22no—
137C2×C8×D11—22no—
138C2×C8×D11—28no—
139C11×#104C23116yescomplemented
140#66886C23116yescomplemented
141#66869C23116yescomplemented
142#66867C2318yescomplemented
143C4×C11⋊C8C2318yescomplemented
144C2×#2955—111nomaximal, Sylow
145C24×C11—21no—
146C24×C11#4111yescharacteristic
147C23×D11—21no—
148C11×#41—24no—
149C11×#41—24no—
150C11×#41—24no—
151C11×#41—24no—
152C11×#41—22no—
153C11×#41—22no—
154C11×#41—24no—
155C11×#41C22×C418yes—
156C11×#41C22×C414yes—
157C11×#41C2414yes—
158C2×Q8×C11—21no—
159C2×Q8×C11—22no—
160C2×Q8×C11C22×C412yes—
161C2×Q8×C11C22×C414yes—
162C2×D4×C11—22no—
163C2×D4×C11—24no—
164C2×D4×C11—22no—
165C2×D4×C11—24no—
166C2×D4×C11—21no—
167C2×D4×C11—22no—
168C2×D4×C11C22×C412yes—
169C2×D4×C11C22×C414yes—
170C22×C4×C11—21no—
171C22×C4×C11—22no—
172C22×C4×C11—24no—
173C22×C4×C11—24no—
174C22×C4×C11—22no—
175C22×C4×C11—22no—
176C22×C4×C11C22×C411yescharacteristic
177C22×C4×C11C22×C411yescharacteristic
178C22×C4×C11C22×C412yes—
179C22×C4×C11C2×D411yescharacteristic
180C22×C4×C11C2×D411yescharacteristic
181C22×C4×C11C2×D412yes—
182C22×C4×C11#4111yescharacteristic
183C22×C4×C11#4112yes—
184C22×C4×C11C2411yescharacteristic
185C22×C4×C11C2412yes—
186C2×C22⋊D11—22no—
187C2×C22⋊D11—24no—
188C2×C22⋊D11—22no—
189C2×C22⋊D11—24no—
190C22×Dic11—21no—
191#4339—24no—
192#4339—24no—
193#4339—24no—
194#4339—24no—
195#4339—22no—
196#4339—22no—
197#4339—24no—
198#4339C22×C418yes—
199#4339C22×C414yes—
200#4339C2414yes—
201C2×D44—21no—
202C2×D44—22no—
203C2×D44C22×C412yes—
204C2×D44C22×C414yes—
205C2×C4×D11—22no—
206C2×C4×D11—24no—
207C2×C4×D11—24no—
208C2×C4×D11—22no—
209C2×Dic22—21no—
210C2×Dic22—22no—
211C2×Dic22C22×C412yes—
212C2×Dic22C22×C414yes—
213C11×M16—24no—
214C11×M16—22no—
215C11×M16C2414yes—
216C2×C8×C11—24no—
217C2×C8×C11—22no—
218C11×C4⋊C4—24no—
219C11×C22⋊C4—24no—
220C42×C11—22no—
221C42×C11C2414yes—
222#4326C22×C4116yes—
223#4325C22×C4116yes—
224#4324C22×C4116yes—
225#4323C22×C4116yes—
226#4318—28no—
227#4318—28no—
228#4318—24no—
229#4318—22no—
230#4318C22×C418yes—
231#4318C22×C418yes—
232#4318C2414yes—
233C2×C11⋊C8—28no—
234C2×C11⋊C8—28no—
235C2×C11⋊C8—24no—
236C2×C11⋊C8—22no—
237C2×C11⋊C8C22×C414yes—
238C2×C11⋊C8C22×C414yes—
239C2×C11⋊C8C2×D411yescharacteristic
240C2×C11⋊C8C2×D411yescharacteristic
241C2×C11⋊C8C2×D414yes—
242C2×C11⋊C8C2×D411yescharacteristic
243C2×C11⋊C8C2×D411yescharacteristic
244C2×C11⋊C8C2×D414yes—
245C2×C11⋊C8C2×D414yes—
246C2×C11⋊C8C2×D414yes—
247C2×C11⋊C8C2×D412yes—
248C2×C11⋊C8C2×D412yes—
249C2×C11⋊C8C2414yes—
250C2×C11⋊C8C2412yes—
251C2×C11⋊C8C2412yes—
252#4313—28no—
253#4313—28no—
254C8×D11—28no—
255C8×D11—28no—
256C2×#575—111no—
257C22×#131—111no—
258C22×#131—111no—
259#2955—1116no—
260C2×#444—114no—
261C2×#443—114no—
262C2×#430—111no—
263C2×#421—111no—
264C2×#421D1111yescharacteristic, complemented
265C2×#405—111no—
266C23×C11—24no—
267C23×C11—22no—
268C23×C11—42no—
269C23×C11—44no—
270C23×C11C4×D411yescharacteristic
271C23×C11C4×D411yescharacteristic
272C23×C11C4×D412yes—
273C23×C11C2×#4111yescharacteristic
274C23×C11C2×#4112yes—
275C22×D11—24no—
276C22×D11—22no—
277C22×D11—44no—
278Q8×C11—22no—
279Q8×C11—24no—
280Q8×C11C23×C414yes—
281D4×C11—28no—
282D4×C11—24no—
283D4×C11—24no—
284D4×C11—22no—
285D4×C11—24no—
286D4×C11C23×C414yes—
287C2×C4×C11—24no—
288C2×C4×C11—22no—
289C2×C4×C11—28no—
290C2×C4×C11—24no—
291C2×C4×C11—24no—
292C2×C4×C11—24no—
293C2×C4×C11—44no—
294C2×C4×C11C4×D411yescharacteristic
295C2×C4×C11C4×D412yes—
296C2×C4×C11C4×D411yescharacteristic
297C2×C4×C11C4×D412yes—
298C2×C4×C11C4×D412yes—
299C2×C4×C11C4×D412yes—
300C2×C4×C11C4×D412yes—
301C2×C4×C11C23×C411yescharacteristic
302C2×C4×C11C23×C411yescharacteristic
303C2×C4×C11C23×C412yes—
304C2×C4×C11C23×C412yes—
305C2×C4×C11C22×D412yes—
306C2×C4×C11C22×D412yes—
307C2×C4×C11C22×D411yescharacteristic
308C2×C4×C11C22×D411yescharacteristic
309C2×C4×C11C2×#4111yescharacteristic
310C2×C4×C11C2×#4112yes—
311C2×C4×C11C2511yescharacteristic
312C22⋊D11—28no—
313C22⋊D11—24no—
314C22⋊D11—24no—
315C2×Dic11—24no—
316C2×Dic11—22no—
317D44—24no—
318D44—22no—
319D44C23×C414yes—
320C4×D11—24no—
321C4×D11—28no—
322C4×D11—24no—
323Dic22—24no—
324Dic22—22no—
325Dic22C23×C414yes—
326C8×C11—24no—
327C11⋊C8—24no—
328C11⋊C8C23×C418yes—
329C11⋊C8C22×D412yes—
330C11⋊C8C22×D412yes—
331C11⋊C8C22×D412yes—
332C11⋊C8C22×D412yes—
333C22×#41—111no—
334C22×#41C2×D1111yescharacteristic
335#575—118no—
336#575—118no—
337C2×#137—112no—
338C2×#137—112no—
339C2×AGL(1,ℤ/8)—112no—
340C2×AGL(1,ℤ/8)—112no—
341C2×#135—114no—
342C2×#131—112no—
343C2×#131—112no—
344C2×#131—118no—
345C2×#131—112no—
346C2×#131—112no—
347C2×#131—118no—
348C2×#131—221no—
349C2×#131—221no—
350C2×#131—224no—
351C2×#131—221no—
352C2×#131—221no—
353C2×#131—224no—
354C22×M16—111no—
355C22×M16—111no—
356C22×M16—221no—
357C22×M16—221no—
358C22×M16C2×D1111yescharacteristic
359C23×C8—111no—
360C23×C8—221no—
361C23×C8—221no—
362C2×#117C2×D1111yescharacteristic
363#444—1132no—
364#443—1132no—
365#430—118no—
366C2×#108—114no—
367#421—118no—
368#421C2×D1118yescomplemented
369C2×#104—114no—
370C2×#104C2×D1114yescomplemented
371#405—118no—
372C2×#97—112no—
373C2×C4×C8—112no—
374C22×C11—22no—
375C22×C11—22no—
376C22×C11—22no—
377C22×C11—24no—
378C22×C11—42no—
379C22×C11—42no—
380C22×C11—48no—
381C22×C11—44no—
382C22×C11C2×C4×D412yes—
383C22×C11C2×C4×D412yes—
384C22×C11C2×C4×D411yescharacteristic
385C22×C11C2×C4×D411yescharacteristic
386C22×C11C22×#4111yescharacteristic
387C2×D11—24no—
388C2×D11—48no—
389C2×D11—44no—
390C4×C11—24no—
391C4×C11—44no—
392C4×C11C2×C4×D412yes—
393C4×C11C2×C4×D411yescharacteristic
394C4×C11C2×C4×D411yescharacteristic
395C4×C11C2×C4×D412yes—
396C4×C11C24×C411yescharacteristic
397C4×C11C23×D411yescharacteristic
398Dic11—24no—
399C2×#41—22no—
400C2×#41—21no—
401C2×#41—21no—
402C2×#41—22no—
403C2×#41—112no—
404C2×#41—114no—
405C2×#41—112no—
406C2×#41—114no—
407C2×#41—222no—
408C2×#41—221no—
409C2×#41—221no—
410C2×#41—222no—
411C2×#41C4×D1112yes—
412C2×#41C4×D1114yes—
413C2×#41C22×D1112yes—
414C2×#41C22×D1114yes—
415C22×Q8—111no—
416C22×Q8C4×D1111yescharacteristic
417C22×D4—21no—
418C22×D4—111no—
419C22×D4—221no—
420C22×D4C4×D1111yescharacteristic
421C23×C4—21no—
422C23×C4—221no—
423C23×C4C22×D1111yescharacteristic
424#137—1116no—
425#137—1116no—
426AGL(1,ℤ/8)—1116no—
427AGL(1,ℤ/8)—1116no—
428#135—1116no—
429#135—1116no—
430C2×Q16—114no—
431C2×SD16—114no—
432C2×SD16—114no—
433C2×D8—114no—
434#131—118no—
435#131—118no—
436#131—118no—
437#131—118no—
438#131—228no—
439#131—228no—
440#131—224no—
441#131—224no—
442#131—228no—
443#131—228no—
444#131—224no—
445#131—224no—
446C2×M16—22no—
447C2×M16—21no—
448C2×M16—112no—
449C2×M16—112no—
450C2×M16—114no—
451C2×M16—114no—
452C2×M16—112no—
453C2×M16—114no—
454C2×M16—228no—
455C2×M16—222no—
456C2×M16—222no—
457C2×M16—228no—
458C2×M16—222no—
459C2×M16—222no—
460C2×M16—222no—
461C2×M16—221no—
462C2×M16C22×D1112yes—
463C2×M16C22×D1114yes—
464C22×C8—21no—
465C22×C8—111no—
466C22×C8—111no—
467C22×C8—111no—
468C22×C8—111no—
469C22×C8—114no—
470C22×C8—111no—
471C22×C8—111no—
472C22×C8—114no—
473C22×C8—112no—
474C22×C8—228no—
475C22×C8—222no—
476C22×C8—222no—
477C22×C8—228no—
478C22×C8—222no—
479C22×C8—222no—
480C22×C8—221no—
481#117—22no—
482#117C22×D1114yes—
483C2×C4⋊C4—21no—
484C2×C22⋊C4—21no—
485C2×C42C22×D1112yes—
486#108—1116no—
487#104—1116no—
488#104C22×D11116yescomplemented
489#97—118no—
490C4×C8—118no—
491C2×C11—21no—
492C2×C11—22no—
493C2×C11—22no—
494C2×C11—21no—
495C2×C11—44no—
496C2×C11#295512yescomplemented
497C2×C11C22×C4×D411yescharacteristic
498D11—44no—
499C24—21no—
500C24—221no—
501C24#434111yescharacteristic
502#41—24no—
503#41—24no—
504#41—24no—
505#41—24no—
506#41—22no—
507#41—22no—
508#41—24no—
509#41—114no—
510#41—118no—
511#41—114no—
512#41—224no—
513#41—224no—
514#41—224no—
515#41—224no—
516#41—222no—
517#41—222no—
518#41—224no—
519#41C2×C4×D1114yes—
520#41C2×C4×D1118yes—
521#41C23×D1114yes—
522C2×Q8—21no—
523C2×Q8—22no—
524C2×Q8—112no—
525C2×Q8—114no—
526C2×Q8—221no—
527C2×Q8—222no—
528C2×Q8C2×C4×D1112yes—
529C2×Q8C2×C4×D1114yes—
530C2×D4—22no—
531C2×D4—24no—
532C2×D4—22no—
533C2×D4—24no—
534C2×D4—21no—
535C2×D4—22no—
536C2×D4—112no—
537C2×D4—114no—
538C2×D4—222no—
539C2×D4—224no—
540C2×D4—222no—
541C2×D4—224no—
542C2×D4—221no—
543C2×D4—222no—
544C2×D4C2×C4×D1112yes—
545C2×D4C2×C4×D1114yes—
546C22×C4—21no—
547C22×C4—22no—
548C22×C4—24no—
549C22×C4—24no—
550C22×C4—22no—
551C22×C4—22no—
552C22×C4—221no—
553C22×C4—222no—
554C22×C4—224no—
555C22×C4—224no—
556C22×C4—222no—
557C22×C4C2×C4×D1111yescharacteristic
558C22×C4C2×C4×D1111yescharacteristic
559C22×C4C2×C4×D1112yes—
560C22×C4D4×D1112yes—
561C22×C4D4×D1111yescharacteristic
562C22×C4D4×D1111yescharacteristic
563C22×C4#434111yescharacteristic
564C22×C4#434112yes—
565C22×C4C23×D1112yes—
566C22×C4C23×D1111yescharacteristic
567Q16—1116no—
568SD16—1116no—
569SD16—1116no—
570D8—1116no—
571M16—24no—
572M16—22no—
573M16—118no—
574M16—118no—
575M16—114no—
576M16—228no—
577M16—228no—
578M16—228no—
579M16—228no—
580M16—224no—
581M16—222no—
582M16C23×D1114yes—
583C2×C8—24no—
584C2×C8—22no—
585C2×C8—114no—
586C2×C8—114no—
587C2×C8—114no—
588C2×C8—114no—
589C2×C8—114no—
590C2×C8—114no—
591C2×C8—112no—
592C2×C8—112no—
593C2×C8—111no—
594C2×C8—111no—
595C2×C8—111no—
596C2×C8—111no—
597C2×C8—112no—
598C2×C8—114no—
599C2×C8—112no—
600C2×C8—228no—
601C2×C8—228no—
602C2×C8—228no—
603C2×C8—228no—
604C2×C8—224no—
605C2×C8—222no—
606C4⋊C4—24no—
607C22⋊C4—24no—
608C42—22no—
609C42C23×D1114yes—
610C11C2×#295511yescharacteristic, complemented, Sylow
611C23—24no—
612C23—22no—
613C23—42no—
614C23—44no—
615C23—224no—
616C23—222no—
617C23—444no—
618C23(C22⋊D11)⋊C411yescharacteristic
619C23(C22⋊D11)⋊C411yescharacteristic
620C23(C22⋊D11)⋊C412yes—
621C23C2×#434111yescharacteristic
622C23C2×#434112yes—
623Q8—24no—
624Q8—22no—
625Q8—114no—
626Q8—224no—
627Q8—222no—
628Q8C22×C4×D1114yes—
629D4—28no—
630D4—24no—
631D4—24no—
632D4—24no—
633D4—22no—
634D4—114no—
635D4—228no—
636D4—224no—
637D4—224no—
638D4—224no—
639D4—222no—
640D4C22×C4×D1114yes—
641C2×C4—24no—
642C2×C4—22no—
643C2×C4—24no—
644C2×C4—28no—
645C2×C4—24no—
646C2×C4—24no—
647C2×C4—44no—
648C2×C4—224no—
649C2×C4—222no—
650C2×C4—224no—
651C2×C4—228no—
652C2×C4—224no—
653C2×C4(C22⋊D11)⋊C411yescharacteristic
654C2×C4(C22⋊D11)⋊C412yes—
655C2×C4(C22⋊D11)⋊C411yescharacteristic
656C2×C4(C22⋊D11)⋊C412yes—
657C2×C4(C22⋊D11)⋊C412yes—
658C2×C4(C22⋊D11)⋊C412yes—
659C2×C4(C22⋊D11)⋊C412yes—
660C2×C4C22×C4×D1111yescharacteristic
661C2×C4C22×C4×D1111yescharacteristic
662C2×C4C22×C4×D1112yes—
663C2×C4C22×C4×D1112yes—
664C2×C4C2×D4×D1112yes—
665C2×C4C2×D4×D1112yes—
666C2×C4C2×D4×D1111yescharacteristic
667C2×C4C2×D4×D1111yescharacteristic
668C2×C4C2×#434111yescharacteristic
669C2×C4C2×#434112yes—
670C2×C4C24×D1111yescharacteristic
671C8—24no—
672C8—118no—
673C8—112no—
674C8—112no—
675C8—112no—
676C8—112no—
677C8—224no—
678C22—22no—
679C22—22no—
680C22—22no—
681C22—24no—
682C22—42no—
683C22—42no—
684C22—48no—
685C22—44no—
686C22—224no—
687C22—448no—
688C22—444no—
689C22C2×(C22⋊D11)⋊C412yes—
690C22C2×(C22⋊D11)⋊C412yes—
691C22C2×(C22⋊D11)⋊C411yescharacteristic
692C22C2×(C22⋊D11)⋊C411yescharacteristic
693C22C22×#434111yescharacteristic
694C4—24no—
695C4—44no—
696C4—224no—
697C4C2×(C22⋊D11)⋊C411yescharacteristic
698C4C2×(C22⋊D11)⋊C412yes—
699C4C2×(C22⋊D11)⋊C412yes—
700C4C2×(C22⋊D11)⋊C411yescharacteristic
701C4C23×C4×D1111yescharacteristic
702C4C22×D4×D1111yescharacteristic
703C2—21no—
704C2—22no—
705C2—22no—
706C2—21no—
707C2—44no—
708C2—444no—
709C2#1307751512yesdirect product factor
710C2C22×(C22⋊D11)⋊C411yescharacteristic
subgroupG/H
centerC2×C4C2×D4×D11
commutatorC4×C11C24×C4
FrattiniC2×C4C24×D11
FittingC2×C11×#421C2
socleC22×C11C2×C4×D4
prime radicalC2×#10623353C2
cosocleC2×C4×C11C25
hypercenterC2×#421D11
hypocenterC11C2×#2955
LCSG ▷ C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C2×C4 ◁ C23×C4 ◁ C2×#421

Complements

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

NH ≅ G/Ntype
2. C22×#66960C2semidirect
3. C22×#67001C2semidirect
4. #13077515C2direct (N × H)
5. C2×#10622436C2semidirect
6. C2×#10622437C2semidirect
7. C2×#10622737C2semidirect
8. C2×#10622618C2semidirect
9. C2×#10622610C2semidirect
10. C2×C11×#421C2semidirect
15. C2×#67004C4semidirect
16. #10623353C4semidirect
19. C2×#67002C4semidirect
23. C2×#67001C22semidirect
24. C2×#67001C22semidirect
25. C2×#67001C22semidirect
26. C2×#66995C4semidirect
27. C2×#66985C4semidirect
36. C2×#66960C22semidirect
37. C2×#66960C22semidirect
38. C2×#66960C22semidirect
41. C11×#421C22semidirect
42. C2×C11×#104C22semidirect
43. #10622737C22semidirect
44. C2×#66886C22semidirect
45. #10622618C22semidirect
46. #10622610C22semidirect
47. C2×#66869C22semidirect
48. C2×#66867C22semidirect
49. C2×C4×C11⋊C8C22semidirect
50. #10622437C22semidirect
51. #10622436C22semidirect
87. #67004C2×C4semidirect
90. #67002C2×C4semidirect
95. #67001C23semidirect
96. #67001C23semidirect
98. #66995C2×C4semidirect
101. #66985C2×C4semidirect
131. #66960C23semidirect
132. #66960C23semidirect
139. C11×#104C23semidirect
140. #66886C23semidirect
141. #66869C23semidirect
142. #66867C23semidirect
143. C4×C11⋊C8C23semidirect
264. C2×#421D11semidirect
368. #421C2×D11semidirect
370. C2×#104C2×D11semidirect
488. #104C22×D11semidirect
496. C2×C11#2955semidirect
610. C11C2×#2955semidirect
709. C2#13077515direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#106233532
C22×#669602
C22×#670012
#130775152
C2×#106224362
C2×#106224372
C2×#106227372
C2×#106226182
C2×#106226102
C2×C11×#4212
C2×#295511