Finite Group Databasebeta

← C2×#13078151 #15620694

Subgroups — C2×#13078151 #15620694

Order 2816.

2934 conjugacy classes of subgroups.

The subgroup lattice has 680 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#66985C211yesmaximal, characteristic, complemented
2C22×#67003C211yesmaximal, characteristic, complemented
3C2×#10623054C211yesmaximal, characteristic, complemented
4#13078151C2116yesmaximal, direct product factor
5C2×#10622667C212yesmaximal, complemented
6C2×#10622688C212yesmaximal, complemented
7C2×#10622670C212yesmaximal, complemented
8C2×#10622685C212yesmaximal, complemented
9C2×#10622612C211yesmaximal, characteristic, complemented
10C2×#10622845C211yesmaximal, characteristic, complemented
11C22×#66896C211yesmaximal, characteristic, complemented
12C2×C11×#535C211yesmaximal, characteristic, complemented
13C22×C11×#41C2211yescharacteristic
14C23×D4×C11C2211yescharacteristic
15C22×#4339C2211yescharacteristic
16C11×#535—24no—
17C11×#535C2218yescomplemented
18C2×C11×#127C2212yes—
19C2×C11×#124C2212yes—
20C2×C11×#121—21no—
21C2×C11×#121—21no—
22C2×C11×#120—22no—
23C2×C11×#117C2211yescharacteristic
24C2×#67003—28no—
25C2×#67003C2218yescomplemented
26C22×#4326C2211yescharacteristic, complemented
27C22×#4325C2211yescharacteristic, complemented
28C22×#4324C2212yes—
29C22×#4324C2211yescharacteristic, complemented
30C2×#66985—28no—
31C2×#66985C2218yescomplemented
32C22×#4323C2212yes—
33C22×#4323C2211yescharacteristic, complemented
34C22×C4⋊Dic11C2211yescharacteristic
35C22×#4318C2211yescharacteristic
36C23×C11⋊C8C2211yescharacteristic
37#10623054—24no—
38#10623054C2218yescomplemented
39C2×#66945—21no—
40C2×C4⋊C4×D11—21no—
41C2×(C22⋊D11)⋊C4—22no—
42C2×C4×D44C2212yescomplemented
43C2×C4×Dic22C2212yescomplemented
44#10622845C2218yescomplemented
45C2×#66899C2212yescomplemented
46C2×#66896C2212yes—
47C2×#66896C2212yes—
48C2×#66896C2218yescomplemented
49C2×#66896C2212yescomplemented
50#10622688C22116yescomplemented
51#10622685C22116yescomplemented
52#10622670C22116yescomplemented
53#10622667C22116yescomplemented
54#10622612C2218yescomplemented
55C2×C4⋊(C11⋊C8)C2212yescomplemented
56C2×C4⋊(C11⋊C8)C2212yescomplemented
57C25×C11—21no—
58C2×C11×#41—22no—
59C2×C11×#41—24no—
60C2×C11×#41—24no—
61C2×C11×#41C2314yes—
62C22×Q8×C11C2311yescharacteristic
63C22×D4×C11—21no—
64C22×D4×C11—24no—
65C22×D4×C11—21no—
66C22×D4×C11—22no—
67C22×D4×C11—22no—
68C22×D4×C11—22no—
69C22×D4×C11—24no—
70C22×D4×C11C2312yes—
71C22×D4×C11C2311yescharacteristic
72C22×D4×C11C2314yes—
73C23×C4×C11—21no—
74C23×C4×C11C2311yescharacteristic
75C22×C22⋊D11—21no—
76C23×Dic11—21no—
77C2×#4339—22no—
78C2×#4339—24no—
79C2×#4339D418yescomplemented
80C2×#4339C2314yes—
81C22×D44C2311yescharacteristic
82C22×C4×D11—21no—
83C22×C4×D11—22no—
84C22×Dic22C2311yescharacteristic
85C11×#127—24no—
86C11×#127C2318yes—
87C11×#124—24no—
88C11×#124C2318yes—
89C11×#121—28no—
90C11×#121—28no—
91C11×#120—216no—
92C11×#117D414yes—
93C11×#117C2314yes—
94C2×C11×C4⋊C4D411yescharacteristic
95C2×C11×C4⋊C4D411yescharacteristic
96C2×C11×C22⋊C4—22no—
97C2×C11×C22⋊C4—22no—
98C2×C11×C22⋊C4D412yes—
99C2×C42×C11C2312yes—
100#67003—232no—
101C2×#4326—24no—
102C2×#4326C2314yescomplemented
103C2×#4325—24no—
104C2×#4325C2314yescomplemented
105C2×#4324—28no—
106C2×#4324—24no—
107C2×#4324C2318yes—
108C2×#4324C2314yescomplemented
109#66985—232no—
110C2×#4323—28no—
111C2×#4323—24no—
112C2×#4323C2318yes—
113C2×#4323C2314yescomplemented
114C2×(C2×D11)⋊C4—22no—
115C2×C4⋊Dic11—21no—
116C2×C4⋊Dic11—22no—
117C2×C4⋊Dic11C2312yes—
118C2×C4⋊Dic11C2314yes—
119C2×Dic11⋊C4—22no—
120C2×C4×Dic11—22no—
121C2×#4318—24no—
122C2×#4318C2314yes—
123C22×C11⋊C8—24no—
124C22×C11⋊C8C2311yescharacteristic
125C22×C11⋊C8C2311yescharacteristic
126C22×C11⋊C8C2312yes—
127C22×C11⋊C8C2314yes—
128#66945—28no—
129C4⋊C4×D11—28no—
130(C22⋊D11)⋊C4—216no—
131C4×D44—24no—
132C4×D44C2318yescomplemented
133C4×Dic22—24no—
134C4×Dic22C2318yescomplemented
135#66899C2318yescomplemented
136#66896C2318yes—
137#66896C2318yes—
138#66896C2318yescomplemented
139C4⋊(C11⋊C8)C2318yescomplemented
140C4⋊(C11⋊C8)C2318yescomplemented
141C2×#3045—111nomaximal, Sylow
142C24×C11—22no—
143C24×C11—21no—
144C24×C11—24no—
145C24×C11—44no—
146C24×C11—82no—
147C24×C11—82no—
148C24×C11C2×D411yescharacteristic
149C23×D11—21no—
150C11×#41—28no—
151C11×#41—28no—
152C11×#41—48no—
153C2×Q8×C11—21no—
154C2×Q8×C11—22no—
155C2×Q8×C11—22no—
156C2×Q8×C11C2412yes—
157C2×D4×C11—24no—
158C2×D4×C11—24no—
159C2×D4×C11—22no—
160C2×D4×C11—28no—
161C2×D4×C11—24no—
162C2×D4×C11—22no—
163C2×D4×C11—21no—
164C2×D4×C11—28no—
165C2×D4×C11—28no—
166C2×D4×C11—24no—
167C2×D4×C11—28no—
168C2×D4×C11—22no—
169C2×D4×C11—44no—
170C2×D4×C11—44no—
171C2×D4×C11—48no—
172C2×D4×C11—84no—
173C2×D4×C11—84no—
174C2×D4×C11C2414yes—
175C2×D4×C11C2412yes—
176C22×C4×C11—21no—
177C22×C4×C11—24no—
178C22×C4×C11—44no—
179C22×C4×C11C2×D412yes—
180C22×C4×C11C2×D412yes—
181C22×C4×C11C2×D411yescharacteristic
182C22×C4×C11C2×D412yes—
183C22×C4×C11C2×D414yes—
184C22×C4×C11#4114yes—
185C22×C4×C11C2411yescharacteristic
186C22×C4×C11C2412yes—
187C2×C22⋊D11—28no—
188C2×C22⋊D11—24no—
189C22×Dic11—21no—
190C22×Dic11—22no—
191C22×Dic11—24no—
192C22×Dic11—82no—
193#4339—216no—
194#4339—28no—
195#4339C2×D4116yescomplemented
196C2×D44—21no—
197C2×D44—22no—
198C2×D44C2×D414yes—
199C2×D44C2412yes—
200C2×C4×D11—28no—
201C2×C4×D11—24no—
202C2×C4×D11—28no—
203C2×C4×D11—84no—
204C2×Dic22—21no—
205C2×Dic22—22no—
206C2×Dic22C2×D414yes—
207C2×Dic22C2412yes—
208C11×C4⋊C4C2×D414yes—
209C11×C4⋊C4C2×D414yes—
210C11×C22⋊C4—28no—
211C11×C22⋊C4—28no—
212C11×C22⋊C4C2×D418yes—
213C42×C11C2×D414yes—
214C42×C11C2414yes—
215#4326—28no—
216#4325—28no—
217#4324—216no—
218#4324—28no—
219#4323—216no—
220#4323—28no—
221(C2×D11)⋊C4—28no—
222C4⋊Dic11—22no—
223C4⋊Dic11—24no—
224C4⋊Dic11C2414yes—
225Dic11⋊C4—28no—
226C4×Dic11—28no—
227#4318—28no—
228C2×C11⋊C8—22no—
229C2×C11⋊C8—22no—
230C2×C11⋊C8—28no—
231C2×C11⋊C8—24no—
232C2×C11⋊C8C2412yes—
233C2×C11⋊C8C2412yes—
234C2×C11⋊C8C2414yes—
235C22×AGL(1,ℤ/8)—111no—
236C22×#135—111no—
237C2×#535D1111yescharacteristic, complemented
238C2×#520—111no—
239#3045—1116no—
240C2×#464—112no—
241C2×#460—112no—
242C2×#463—112no—
243C2×#459—112no—
244C2×#424—111no—
245C2×#417—111no—
246C22×#102—111no—
247C23×C11—22no—
248C23×C11—22no—
249C23×C11—24no—
250C23×C11—22no—
251C23×C11—42no—
252C23×C11—48no—
253C23×C11—44no—
254C23×C11—42no—
255C23×C11—44no—
256C23×C11—42no—
257C23×C11—44no—
258C23×C11—84no—
259C23×C11—84no—
260C23×C11—816no—
261C23×C11#12114yes—
262C23×C11C22×D412yes—
263C23×C11C22×D411yescharacteristic
264C22×D11—24no—
265C22×D11—22no—
266C22×D11—42no—
267C22×D11—42no—
268Q8×C11—22no—
269Q8×C11—22no—
270Q8×C11—42no—
271D4×C11—24no—
272D4×C11—22no—
273D4×C11—24no—
274D4×C11—22no—
275D4×C11—48no—
276D4×C11—48no—
277D4×C11—44no—
278D4×C11—42no—
279D4×C11—88no—
280D4×C11—88no—
281C2×C4×C11—24no—
282C2×C4×C11—24no—
283C2×C4×C11—22no—
284C2×C4×C11—42no—
285C2×C4×C11—48no—
286C2×C4×C11#12114yes—
287C2×C4×C11#12118yes—
288C2×C4×C11C22×D412yes—
289C2×C4×C11C22×D414yes—
290C2×C4×C11C22×D414yes—
291C2×C4×C11C22×D414yes—
292C2×C4×C11C22×D411yescharacteristic
293C2×C4×C11C22×D412yes—
294C2×C4×C11C2×#4112yes—
295C2×C4×C11C2×#4114yes—
296C2×C4×C11C2511yescharacteristic
297C22⋊D11—216no—
298C2×Dic11—24no—
299C2×Dic11—22no—
300C2×Dic11—24no—
301C2×Dic11—44no—
302C2×Dic11—84no—
303D44—24no—
304D44—22no—
305D44C22×D414yes—
306C4×D11—216no—
307C4×D11—88no—
308Dic22—24no—
309Dic22—22no—
310Dic22C22×D414yes—
311C11⋊C8—22no—
312C11⋊C8—22no—
313C11⋊C8—24no—
314C22×#41—111no—
315C22×#41C2×D1111yescharacteristic
316C23×D4C2×D1111yescharacteristic
317C2×AGL(1,ℤ/8)—118no—
318C2×AGL(1,ℤ/8)—228no—
319C2×#135—118no—
320C2×#135—228no—
321C22×Q16—111no—
322C22×SD16—111no—
323C22×SD16—112no—
324C22×SD16—111no—
325C22×D8—112no—
326C22×D8—111no—
327C22×M16—111no—
328C23×C8—111no—
329#535—24no—
330#535C2×D1118yescomplemented
331C2×#127C2×D1112yes—
332C2×#124C2×D1112yes—
333C2×#121—21no—
334C2×#121—21no—
335C2×#120—22no—
336#520—118no—
337#520—224no—
338C2×C4×Q8—112no—
339C2×C4×D4—112no—
340C2×C4×D4—222no—
341C2×#117—221no—
342C2×#117C2×D1111yescharacteristic
343C22×C4⋊C4—111no—
344C22×C4⋊C4—221no—
345#464—1116no—
346#463—1116no—
347#460—1116no—
348#459—1116no—
349#424—118no—
350C2×C4⋊C8—112no—
351C2×C4⋊C8—112no—
352#417—118no—
353C2×#103—112no—
354C2×#102—112no—
355C2×#102—112no—
356C2×#102—118no—
357C2×#102—112no—
358C22×C11—28no—
359C22×C11—22no—
360C22×C11—22no—
361C22×C11—42no—
362C22×C11—44no—
363C22×C11—42no—
364C22×C11—44no—
365C22×C11—42no—
366C22×C11—44no—
367C22×C11—816no—
368C22×C11—84no—
369C22×C11—88no—
370C22×C11C2×#12114yes—
371C22×C11C2×#12112yes—
372C22×C11#57612yes—
373C22×C11#57712yes—
374C22×C11C23×D411yescharacteristic
375C2×D11—24no—
376C2×D11—48no—
377C2×D11—42no—
378C2×D11—42no—
379C4×C11—24no—
380C4×C11—24no—
381C4×C11—42no—
382C4×C11C2×#12114yes—
383C4×C11C2×#12112yes—
384C4×C11C23×D411yescharacteristic
385C4×C11C22×#4111yescharacteristic
386Dic11—24no—
387Dic11—44no—
388C25—21no—
389C2×#41—22no—
390C2×#41—24no—
391C2×#41—24no—
392C2×#41—118no—
393C2×#41—114no—
394C2×#41—224no—
395C2×#41—222no—
396C2×#41C22×D1114yes—
397C22×Q8—111no—
398C22×Q8C22×D1111yescharacteristic
399C22×D4—21no—
400C22×D4—24no—
401C22×D4—24no—
402C22×D4—21no—
403C22×D4—22no—
404C22×D4—22no—
405C22×D4—22no—
406C22×D4—111no—
407C22×D4—221no—
408C22×D4C22×D1112yes—
409C22×D4C22×D1111yescharacteristic
410C22×D4C22×D1114yes—
411C23×C4—21no—
412C23×C4—221no—
413C23×C4—221no—
414C23×C4—222no—
415C23×C4C22×D1111yescharacteristic
416AGL(1,ℤ/8)—2232no—
417#135—2232no—
418C2×Q16—114no—
419C2×Q16—224no—
420C2×SD16—114no—
421C2×SD16—114no—
422C2×SD16—118no—
423C2×SD16—224no—
424C2×SD16—228no—
425C2×SD16—224no—
426C2×D8—114no—
427C2×D8—118no—
428C2×D8—224no—
429C2×D8—228no—
430C2×M16—114no—
431C2×M16—224no—
432C22×C8—111no—
433C22×C8—111no—
434C22×C8—114no—
435C22×C8—112no—
436C22×C8—224no—
437#127—24no—
438#127C22×D1118yes—
439#124—24no—
440#124C22×D1118yes—
441#121—28no—
442#121—28no—
443#120—216no—
444C4×Q8—118no—
445C4×Q8—224no—
446C4×D4—118no—
447C4×D4—2216no—
448C4×D4—224no—
449#117—228no—
450#117C22⋊D1114yes—
451#117C22×D1114yes—
452C2×C4⋊C4—112no—
453C2×C4⋊C4—114no—
454C2×C4⋊C4—221no—
455C2×C4⋊C4—222no—
456C2×C4⋊C4—222no—
457C2×C4⋊C4—228no—
458C2×C4⋊C4C22⋊D1111yescharacteristic
459C2×C4⋊C4C22⋊D1111yescharacteristic
460C2×C22⋊C4—22no—
461C2×C22⋊C4—22no—
462C2×C22⋊C4—222no—
463C2×C22⋊C4C22⋊D1112yes—
464C2×C42—222no—
465C2×C42C22×D1112yes—
466C4⋊C8—118no—
467C4⋊C8—118no—
468#103—118no—
469#102—118no—
470#102—118no—
471#102—118no—
472C2×C11—24no—
473C2×C11—82no—
474C2×C11—84no—
475C2×C11#304514yescomplemented
476C2×C11C22×#12111yescharacteristic
477C2×C11C2×#57611yescharacteristic
478C2×C11C2×#57711yescharacteristic
479D11—44no—
480C24—22no—
481C24—21no—
482C24—24no—
483C24—44no—
484C24—82no—
485C24—82no—
486C24—221no—
487C24C2×C22⋊D1111yescharacteristic
488#41—28no—
489#41—28no—
490#41—48no—
491#41—1116no—
492#41—2216no—
493#41—228no—
494C2×Q8—21no—
495C2×Q8—22no—
496C2×Q8—22no—
497C2×Q8—114no—
498C2×Q8—112no—
499C2×Q8—222no—
500C2×Q8—221no—
501C2×Q8C23×D1112yes—
502C2×D4—24no—
503C2×D4—24no—
504C2×D4—22no—
505C2×D4—28no—
506C2×D4—24no—
507C2×D4—28no—
508C2×D4—22no—
509C2×D4—24no—
510C2×D4—22no—
511C2×D4—21no—
512C2×D4—28no—
513C2×D4—28no—
514C2×D4—44no—
515C2×D4—44no—
516C2×D4—48no—
517C2×D4—84no—
518C2×D4—84no—
519C2×D4—114no—
520C2×D4—112no—
521C2×D4—228no—
522C2×D4—224no—
523C2×D4—222no—
524C2×D4—221no—
525C2×D4C23×D1114yes—
526C2×D4C23×D1112yes—
527C22×C4—21no—
528C22×C4—24no—
529C22×C4—44no—
530C22×C4—221no—
531C22×C4—228no—
532C22×C4—224no—
533C22×C4—222no—
534C22×C4—224no—
535C22×C4—228no—
536C22×C4—884no—
537C22×C4—882no—
538C22×C4D4×D1114yes—
539C22×C4#434114yes—
540C22×C4C2×C22⋊D1112yes—
541C22×C4C2×C22⋊D1112yes—
542C22×C4C2×C22⋊D1112yes—
543C22×C4C2×C22⋊D1111yescharacteristic
544C22×C4C23×D1112yes—
545C22×C4C23×D1111yescharacteristic
546Q16—228no—
547SD16—228no—
548SD16—2216no—
549SD16—228no—
550D8—228no—
551D8—2216no—
552M16—228no—
553C2×C8—112no—
554C2×C8—112no—
555C2×C8—114no—
556C2×C8—222no—
557C2×C8—222no—
558C2×C8—228no—
559C2×C8—224no—
560C4⋊C4—114no—
561C4⋊C4—224no—
562C4⋊C4—222no—
563C4⋊C4—228no—
564C4⋊C4C2×C22⋊D1114yes—
565C4⋊C4C2×C22⋊D1114yes—
566C22⋊C4—28no—
567C22⋊C4—28no—
568C22⋊C4—228no—
569C22⋊C4C2×C22⋊D1118yes—
570C42—228no—
571C42C2×C22⋊D1114yes—
572C42C23×D1114yes—
573C11C2×#304511yescharacteristic, complemented, Sylow
574C23—22no—
575C23—22no—
576C23—24no—
577C23—22no—
578C23—42no—
579C23—48no—
580C23—44no—
581C23—42no—
582C23—44no—
583C23—42no—
584C23—44no—
585C23—84no—
586C23—84no—
587C23—816no—
588C23—224no—
589C23—222no—
590C23—442no—
591C23—442no—
592C23#6699114yes—
593C23C22×C22⋊D1112yes—
594C23C22×C22⋊D1111yescharacteristic
595Q8—22no—
596Q8—22no—
597Q8—42no—
598Q8—114no—
599Q8—224no—
600Q8—222no—
601D4—24no—
602D4—22no—
603D4—24no—
604D4—22no—
605D4—48no—
606D4—48no—
607D4—44no—
608D4—42no—
609D4—88no—
610D4—88no—
611D4—114no—
612D4—2216no—
613D4—224no—
614D4—222no—
615C2×C4—24no—
616C2×C4—24no—
617C2×C4—22no—
618C2×C4—42no—
619C2×C4—48no—
620C2×C4—224no—
621C2×C4—222no—
622C2×C4—2216no—
623C2×C4—224no—
624C2×C4—444no—
625C2×C4—888no—
626C2×C4—884no—
627C2×C4#6699114yes—
628C2×C4#6699118yes—
629C2×C4C2×D4×D1112yes—
630C2×C4C2×D4×D1114yes—
631C2×C4C2×#434112yes—
632C2×C4C2×#434114yes—
633C2×C4C22×C22⋊D1114yes—
634C2×C4C22×C22⋊D1114yes—
635C2×C4C22×C22⋊D1111yescharacteristic
636C2×C4C22×C22⋊D1112yes—
637C2×C4C24×D1111yescharacteristic
638C8—222no—
639C8—222no—
640C8—224no—
641C22—28no—
642C22—22no—
643C22—22no—
644C22—42no—
645C22—44no—
646C22—42no—
647C22—44no—
648C22—42no—
649C22—44no—
650C22—816no—
651C22—88no—
652C22—84no—
653C22—224no—
654C22—448no—
655C22—442no—
656C22—442no—
657C22C2×#6699114yes—
658C22C2×#6699112yes—
659C22#1062336612yes—
660C22#1062336712yes—
661C22C23×C22⋊D1111yescharacteristic
662C4—24no—
663C4—24no—
664C4—42no—
665C4—224no—
666C4—444no—
667C4C2×#6699114yes—
668C4C2×#6699112yes—
669C4C22×D4×D1111yescharacteristic
670C4C22×#434111yescharacteristic
671C2—24no—
672C2—84no—
673C2—82no—
674C2—444no—
675C2#1307815114yesdirect product factor
676C2C22×#6699111yescharacteristic
677C2C2×#1062336611yescharacteristic
678C2C2×#1062336711yescharacteristic
subgroupG/H
centerC23C22×C22⋊D11
commutator, cosocleC2×C4×C11C25
FrattiniC2×C4C24×D11
FittingC2×C11×#535C2
socleC23×C11C22×D4
hypercenterC2×#535D11
hypocenterC11C2×#3045
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C23 ◁ C2×#117 ◁ C2×#535

Complements

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

NH ≅ G/Ntype
1. C22×#66985C2semidirect
2. C22×#67003C2semidirect
3. C2×#10623054C2semidirect
4. #13078151C2direct (N × H)
5. C2×#10622667C2semidirect
6. C2×#10622688C2semidirect
7. C2×#10622670C2semidirect
8. C2×#10622685C2semidirect
9. C2×#10622612C2semidirect
10. C2×#10622845C2semidirect
11. C22×#66896C2semidirect
12. C2×C11×#535C2semidirect
17. C11×#535C22semidirect
25. C2×#67003C22semidirect
26. C22×#4326C22semidirect
27. C22×#4325C22semidirect
29. C22×#4324C22semidirect
31. C2×#66985C22semidirect
33. C22×#4323C22semidirect
38. #10623054C22semidirect
42. C2×C4×D44C22semidirect
43. C2×C4×Dic22C22semidirect
44. #10622845C22semidirect
45. C2×#66899C22semidirect
48. C2×#66896C22semidirect
49. C2×#66896C22semidirect
50. #10622688C22semidirect
51. #10622685C22semidirect
52. #10622670C22semidirect
53. #10622667C22semidirect
54. #10622612C22semidirect
55. C2×C4⋊(C11⋊C8)C22semidirect
56. C2×C4⋊(C11⋊C8)C22semidirect
79. C2×#4339D4semidirect
102. C2×#4326C23semidirect
104. C2×#4325C23semidirect
108. C2×#4324C23semidirect
113. C2×#4323C23semidirect
132. C4×D44C23semidirect
134. C4×Dic22C23semidirect
135. #66899C23semidirect
138. #66896C23semidirect
139. C4⋊(C11⋊C8)C23semidirect
140. C4⋊(C11⋊C8)C23semidirect
195. #4339C2×D4semidirect
237. C2×#535D11semidirect
330. #535C2×D11semidirect
475. C2×C11#3045semidirect
573. C11C2×#3045semidirect
675. C2#13078151direct (N × H)

Maximal subgroups

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

subgroupindex
C22×#669852
C22×#670032
C2×#106230542
#130781512
C2×#106226672
C2×#106226882
C2×#106226702
C2×#106226852
C2×#106226122
C2×#106228452
C22×#668962
C2×C11×#5352
C2×#304511