Finite Group Databasebeta

← C2×#13079430 #15624373

Subgroups — C2×#13079430 #15624373

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×#10623322C211yesmaximal, characteristic, complemented
2#13079430C2116yesmaximal, direct product factor
3C2×#10622648C212yesmaximal, complemented
4C2×#10622584C211yesmaximal, characteristic, complemented
5C2×#10622580C211yesmaximal, characteristic, complemented
6C2×#10622652C212yesmaximal, complemented
7C2×#10622655C212yesmaximal, complemented
8C2×#10622650C212yesmaximal, complemented
9C2×#10622831C211yesmaximal, characteristic, complemented
10C2×#10622830C211yesmaximal, characteristic, complemented
11C2×#10622820C211yesmaximal, characteristic, complemented
12C22×C11×#121C211yesmaximal, characteristic, complemented
13C23×D4×C11—21no—
14C23×D4×C11C2211yescharacteristic
15C24×C4×C11C2211yescharacteristic
16C22×#4339C2211yescharacteristic, complemented
17C2×C11×#121—21no—
18C2×C11×#121—21no—
19C2×C11×#121—24no—
20C2×C11×#121C2212yes—
21C2×C11×#121C2212yes—
22C2×C11×#121C2218yescomplemented
23C22×C11×C4⋊C4C2211yescharacteristic
24C22×C11×C22⋊C4—21no—
25C2×#67006—21no—
26C22×#4324C2212yescomplemented
27C22×#4323C2212yescomplemented
28#10623322—24no—
29#10623322C2218yescomplemented
30C2×#66983C2211yescharacteristic
31C2×#66983C2211yescharacteristic, complemented
32C2×#66982—21no—
33C2×C4×C22⋊D11—21no—
34C2×C4×C22⋊D11—21no—
35C2×#66979C2211yescharacteristic, complemented
36C2×#66977C2211yescharacteristic
37C2×#66977C2211yescharacteristic, complemented
38C22×#4318C2212yescomplemented
39#10622831C2218yescomplemented
40#10622830C2218yescomplemented
41C2×#66896C2212yescomplemented
42C2×#66896C2212yescomplemented
43#10622820C2218yescomplemented
44C2×C22⋊(C11⋊C8)C2211yescharacteristic
45C2×C22⋊(C11⋊C8)C2211yescharacteristic
46C2×C22⋊(C11⋊C8)C2212yescomplemented
47#10622655C22116yescomplemented
48#10622652C22116yescomplemented
49#10622650C22116yescomplemented
50#10622648C22116yescomplemented
51#10622584C2218yescomplemented
52C2×#66874C2212yescomplemented
53#10622580C2218yescomplemented
54C2×#66873C2212yescomplemented
55C2×#66872C2212yescomplemented
56C2×#66871C2212yescomplemented
57C25×C11—21no—
58C25×C11D411yescharacteristic
59C22×D4×C11—22no—
60C22×D4×C11—22no—
61C22×D4×C11—28no—
62C22×D4×C11—21no—
63C22×D4×C11—22no—
64C22×D4×C11—44no—
65C22×D4×C11—48no—
66C22×D4×C11C2312yes—
67C22×D4×C11C2314yes—
68C23×C4×C11—21no—
69C23×C4×C11—44no—
70C23×C4×C11D411yescharacteristic
71C23×C4×C11D411yescharacteristic
72C23×C4×C11D411yescharacteristic
73C23×C4×C11D414yes—
74C23×C4×C11C2311yescharacteristic
75C23×C4×C11C2311yescharacteristic
76C23×C4×C11C2311yescharacteristic
77C23×C4×C11C2314yes—
78C22×C22⋊D11—21no—
79C22×C22⋊D11—21no—
80C22×C22⋊D11—21no—
81C2×#4339—22no—
82C2×#4339—44no—
83C2×#4339C2314yescomplemented
84C22×D44C2311yescharacteristic
85C22×C4×D11—21no—
86C22×Dic22C2311yescharacteristic
87C11×#121—24no—
88C11×#121—24no—
89C11×#121—28no—
90C11×#121—28no—
91C11×#121C2318yes—
92C11×#121C2318yes—
93C2×C11×C4⋊C4—21no—
94C2×C11×C4⋊C4—22no—
95C2×C11×C4⋊C4C2312yes—
96C2×C11×C4⋊C4C2314yes—
97C2×C11×C22⋊C4—22no—
98C2×C11×C22⋊C4—22no—
99C2×C11×C22⋊C4—28no—
100#67006—28no—
101C2×C22⋊Dic11—21no—
102C2×C22⋊Dic11—21no—
103C2×C22⋊Dic11—21no—
104C2×#4324—44no—
105C2×#4324C2318yescomplemented
106C2×#4323—44no—
107C2×#4323C2318yescomplemented
108#66983—22no—
109#66983—22no—
110#66983C2314yes—
111#66983C2314yescomplemented
112#66982—28no—
113C4×C22⋊D11—28no—
114C4×C22⋊D11—28no—
115C2×(C2×D11)⋊C4—21no—
116C2×(C2×D11)⋊C4—21no—
117#66979—22no—
118#66979C2314yescomplemented
119C2×C4⋊Dic11C2311yescharacteristic
120C2×C4⋊Dic11C2311yescharacteristic
121#66977—22no—
122#66977—22no—
123#66977C2314yes—
124#66977C2314yescomplemented
125C2×Dic11⋊C4—21no—
126C2×Dic11⋊C4—21no—
127C2×C4×Dic11—21no—
128C2×#4318—44no—
129C2×#4318C2318yescomplemented
130C22×C11⋊C8C2312yes—
131C22×C11⋊C8C2312yes—
132#66896C2318yescomplemented
133#66896C2318yescomplemented
134C22⋊(C11⋊C8)C2314yes—
135C22⋊(C11⋊C8)C2314yes—
136C22⋊(C11⋊C8)C2318yescomplemented
137#66874C2318yescomplemented
138#66873C2318yescomplemented
139#66872C2318yescomplemented
140#66871C2318yescomplemented
141C2×#3194—111nomaximal, Sylow
142C24×C11—24no—
143C24×C11—24no—
144C24×C11—22no—
145C24×C11—42no—
146C24×C11—42no—
147C24×C11—44no—
148C24×C11—44no—
149C24×C11—44no—
150C24×C11C2×D411yescharacteristic
151C24×C11C2×D411yescharacteristic
152C24×C11C2×D411yescharacteristic
153C24×C11C2×D414yes—
154C23×D11—21no—
155C2×D4×C11—28no—
156C2×D4×C11—28no—
157C2×D4×C11—24no—
158C2×D4×C11—22no—
159C2×D4×C11—24no—
160C2×D4×C11—24no—
161C2×D4×C11—48no—
162C2×D4×C11—44no—
163C2×D4×C11—48no—
164C2×D4×C11—48no—
165C2×D4×C11—48no—
166C2×D4×C11—432no—
167C2×D4×C11C2414yes—
168C22×C4×C11—24no—
169C22×C4×C11—24no—
170C22×C4×C11—24no—
171C22×C4×C11—24no—
172C22×C4×C11—22no—
173C22×C4×C11—48no—
174C22×C4×C11—48no—
175C22×C4×C11—42no—
176C22×C4×C11—42no—
177C22×C4×C11—42no—
178C22×C4×C11—44no—
179C22×C4×C11C2×D411yescharacteristic
180C22×C4×C11C2×D411yescharacteristic
181C22×C4×C11C2×D411yescharacteristic
182C22×C4×C11C2×D412yes—
183C22×C4×C11C2×D412yes—
184C22×C4×C11C2×D412yes—
185C22×C4×C11C2×D414yes—
186C22×C4×C11C2×D414yes—
187C22×C4×C11C2×D414yes—
188C22×C4×C11C2412yes—
189C22×C4×C11C2412yes—
190C22×C4×C11C2412yes—
191C22×C4×C11C2411yescharacteristic
192C2×C22⋊D11—24no—
193C2×C22⋊D11—24no—
194C2×C22⋊D11—24no—
195C2×C22⋊D11—44no—
196C2×C22⋊D11—44no—
197C2×C22⋊D11—44no—
198C22×Dic11—21no—
199C22×Dic11—21no—
200C22×Dic11—21no—
201#4339—48no—
202#4339—48no—
203C2×D44—21no—
204C2×D44—24no—
205C2×D44C2412yes—
206C2×C4×D11—24no—
207C2×C4×D11—44no—
208C2×Dic22—21no—
209C2×Dic22—24no—
210C2×Dic22C2412yes—
211C11×C4⋊C4—24no—
212C11×C4⋊C4—22no—
213C11×C4⋊C4C2414yes—
214C11×C22⋊C4—28no—
215C11×C22⋊C4—28no—
216C22⋊Dic11—24no—
217C22⋊Dic11—24no—
218C22⋊Dic11—24no—
219#4324—48no—
220#4323—48no—
221(C2×D11)⋊C4—24no—
222(C2×D11)⋊C4—24no—
223C4⋊Dic11—21no—
224C4⋊Dic11—21no—
225C4⋊Dic11C2412yes—
226C4⋊Dic11C2412yes—
227Dic11⋊C4—24no—
228Dic11⋊C4—24no—
229C4×Dic11—24no—
230#4318—48no—
231C2×C11⋊C8—24no—
232C2×C11⋊C8—24no—
233C2×C11⋊C8C2414yes—
234C2×C11⋊C8C2414yes—
235C2×#525—111no—
236C22×#121D1111yescharacteristic, complemented
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×#447—111no—
246C2×#407—111no—
247C23×C11—22no—
248C23×C11—22no—
249C23×C11—22no—
250C23×C11—22no—
251C23×C11—28no—
252C23×C11—22no—
253C23×C11—22no—
254C23×C11—22no—
255C23×C11—22no—
256C23×C11—24no—
257C23×C11—44no—
258C23×C11—44no—
259C23×C11—416no—
260C23×C11—48no—
261C23×C11—48no—
262C23×C11—44no—
263C23×C11—48no—
264C23×C11—44no—
265C23×C11—44no—
266C23×C11—816no—
267C23×C11AGL(1,ℤ/8)14yes—
268C23×C11C22×D412yes—
269C23×C11C22×D412yes—
270C23×C11C22×D412yes—
271C23×C11C22×D411yescharacteristic
272C22×D11—22no—
273C22×D11—42no—
274C22×D11—42no—
275C22×D11—42no—
276D4×C11—24no—
277D4×C11—24no—
278D4×C11—48no—
279D4×C11—416no—
280D4×C11—416no—
281D4×C11—44no—
282C2×C4×C11—22no—
283C2×C4×C11—22no—
284C2×C4×C11—22no—
285C2×C4×C11—24no—
286C2×C4×C11—24no—
287C2×C4×C11—24no—
288C2×C4×C11—24no—
289C2×C4×C11—24no—
290C2×C4×C11—24no—
291C2×C4×C11—24no—
292C2×C4×C11—44no—
293C2×C4×C11—44no—
294C2×C4×C11—44no—
295C2×C4×C11—48no—
296C2×C4×C11—44no—
297C2×C4×C11C22×D412yes—
298C2×C4×C11C22×D412yes—
299C2×C4×C11C22×D412yes—
300C2×C4×C11C22×D411yescharacteristic
301C2×C4×C11H(5,𝔽2)14yes—
302C2×C4×C11C2511yescharacteristic
303C22⋊D11—48no—
304C22⋊D11—48no—
305C22⋊D11—48no—
306C2×Dic11—22no—
307C2×Dic11—22no—
308C2×Dic11—22no—
309C2×Dic11—42no—
310C2×Dic11—42no—
311C2×Dic11—42no—
312D44—24no—
313D44—42no—
314C4×D11—48no—
315Dic22—24no—
316Dic22—42no—
317C11⋊C8—24no—
318C11⋊C8—24no—
319C22×#41—111no—
320C23×D4—21no—
321C23×D4C2×D1111yescharacteristic
322C24×C4C2×D1111yescharacteristic
323C22×SD16—112no—
324C22×D8—112no—
325C22×M16—112no—
326#525—118no—
327#525—224no—
328C2×#123—221no—
329C2×C22⋊Q8—111no—
330C2×C22⋊Q8—111no—
331C2×#121—21no—
332C2×#121—21no—
333C2×#121—24no—
334C2×#121—111no—
335C2×#121—111no—
336C2×#121C2×D1112yes—
337C2×#121C2×D1112yes—
338C2×#121C2×D1118yescomplemented
339C2×#120—221no—
340C2×C4×D4—221no—
341C2×C4×D4—221no—
342C2×#117—111no—
343C22×C4⋊C4C2×D1111yescharacteristic
344C22×C22⋊C4—21no—
345#483—118no—
346#482—1116no—
347#480—118no—
348#469—1116no—
349#468—1116no—
350#450—118no—
351#449—1116no—
352#447—118no—
353C2×#107—112no—
354C2×#106—112no—
355C2×#103—112no—
356C2×#102—112no—
357C2×#102—112no—
358C2×#102—112no—
359#407—118no—
360C2×C22⋊C8—111no—
361C2×C22⋊C8—111no—
362C2×C22⋊C8—112no—
363C22×C11—22no—
364C22×C11—28no—
365C22×C11—22no—
366C22×C11—22no—
367C22×C11—22no—
368C22×C11—22no—
369C22×C11—22no—
370C22×C11—22no—
371C22×C11—22no—
372C22×C11—416no—
373C22×C11—44no—
374C22×C11—44no—
375C22×C11—44no—
376C22×C11—44no—
377C22×C11—44no—
378C22×C11—816no—
379C22×C11—88no—
380C22×C11#53412yes—
381C22×C11C2×AGL(1,ℤ/8)14yes—
382C22×C11C2×AGL(1,ℤ/8)12yes—
383C22×C11#57512yes—
384C22×C11C23×D411yescharacteristic
385C2×D11—42no—
386C2×D11—42no—
387C2×D11—42no—
388C2×D11—84no—
389C4×C11—22no—
390C4×C11—22no—
391C4×C11—22no—
392C4×C11—44no—
393C4×C11#53412yes—
394C4×C11C2×H(5,𝔽2)12yes—
395Dic11—42no—
396Dic11—42no—
397Dic11—42no—
398C25—21no—
399C25C22⋊D1111yescharacteristic
400C2×#41—114no—
401C2×#41—222no—
402C2×#41—444no—
403C22×Q8—111no—
404C22×D4—22no—
405C22×D4—22no—
406C22×D4—28no—
407C22×D4—22no—
408C22×D4—21no—
409C22×D4—44no—
410C22×D4—48no—
411C22×D4—111no—
412C22×D4—221no—
413C22×D4—221no—
414C22×D4—221no—
415C22×D4C22×D1112yes—
416C22×D4C22×D1114yes—
417C23×C4—21no—
418C23×C4—44no—
419C23×C4—221no—
420C23×C4C22⋊D1111yescharacteristic
421C23×C4C22⋊D1111yescharacteristic
422C23×C4C22⋊D1111yescharacteristic
423C23×C4C22⋊D1114yes—
424C23×C4C22×D1111yescharacteristic
425C23×C4C22×D1111yescharacteristic
426C23×C4C22×D1111yescharacteristic
427C23×C4C22×D1114yes—
428C2×SD16—118no—
429C2×SD16—444no—
430C2×D8—118no—
431C2×D8—444no—
432C2×M16—118no—
433C2×M16—444no—
434C22×C8—112no—
435C22×C8—112no—
436#123—228no—
437C22⋊Q8—114no—
438C22⋊Q8—114no—
439C22⋊Q8—222no—
440C22⋊Q8—222no—
441#121—24no—
442#121—24no—
443#121—28no—
444#121—28no—
445#121—114no—
446#121—114no—
447#121—222no—
448#121—222no—
449#121C22×D1118yes—
450#121C22×D1118yes—
451#120—228no—
452C4×D4—228no—
453C4×D4—228no—
454#117—114no—
455#117—222no—
456C2×C4⋊C4—22no—
457C2×C4⋊C4—21no—
458C2×C4⋊C4—111no—
459C2×C4⋊C4—111no—
460C2×C4⋊C4—221no—
461C2×C4⋊C4—221no—
462C2×C4⋊C4C22×D1112yes—
463C2×C4⋊C4C22×D1114yes—
464C2×C22⋊C4—22no—
465C2×C22⋊C4—22no—
466C2×C22⋊C4—28no—
467C2×C22⋊C4—221no—
468C2×C22⋊C4—221no—
469C2×C22⋊C4—221no—
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#102—118no—
479C22⋊C8—114no—
480C22⋊C8—114no—
481C22⋊C8—118no—
482C2×C11—24no—
483C2×C11—42no—
484C2×C11—42no—
485C2×C11—84no—
486C2×C11#319414yescomplemented
487C2×C11C2×#53411yescharacteristic
488C2×C11C22×AGL(1,ℤ/8)11yescharacteristic
489C2×C11C2×#57511yescharacteristic
490D11—82no—
491C24—24no—
492C24—24no—
493C24—22no—
494C24—42no—
495C24—42no—
496C24—44no—
497C24—44no—
498C24—44no—
499C24—221no—
500C24C2×C22⋊D1111yescharacteristic
501C24C2×C22⋊D1111yescharacteristic
502C24C2×C22⋊D1111yescharacteristic
503C24C2×C22⋊D1114yes—
504#41—448no—
505#41—448no—
506C2×Q8—112no—
507C2×Q8—221no—
508C2×Q8—224no—
509C2×D4—28no—
510C2×D4—28no—
511C2×D4—24no—
512C2×D4—24no—
513C2×D4—24no—
514C2×D4—22no—
515C2×D4—48no—
516C2×D4—44no—
517C2×D4—48no—
518C2×D4—48no—
519C2×D4—48no—
520C2×D4—432no—
521C2×D4—112no—
522C2×D4—224no—
523C2×D4—224no—
524C2×D4—224no—
525C2×D4—224no—
526C2×D4—221no—
527C2×D4—444no—
528C2×D4—444no—
529C2×D4—444no—
530C2×D4C23×D1114yes—
531C22×C4—24no—
532C22×C4—24no—
533C22×C4—24no—
534C22×C4—24no—
535C22×C4—22no—
536C22×C4—48no—
537C22×C4—48no—
538C22×C4—42no—
539C22×C4—42no—
540C22×C4—42no—
541C22×C4—44no—
542C22×C4—221no—
543C22×C4—221no—
544C22×C4—221no—
545C22×C4—224no—
546C22×C4—444no—
547C22×C4C2×C22⋊D1112yes—
548C22×C4C2×C22⋊D1112yes—
549C22×C4C2×C22⋊D1112yes—
550C22×C4C2×C22⋊D1111yescharacteristic
551C22×C4C2×C22⋊D1111yescharacteristic
552C22×C4C2×C22⋊D1111yescharacteristic
553C22×C4C2×C22⋊D1114yes—
554C22×C4C2×C22⋊D1114yes—
555C22×C4C2×C22⋊D1114yes—
556C22×C4C23×D1112yes—
557C22×C4C23×D1112yes—
558C22×C4C23×D1112yes—
559C22×C4C23×D1111yescharacteristic
560SD16—448no—
561D8—448no—
562M16—448no—
563C2×C8—114no—
564C2×C8—114no—
565C2×C8—224no—
566C2×C8—224no—
567C4⋊C4—24no—
568C4⋊C4—22no—
569C4⋊C4—112no—
570C4⋊C4—112no—
571C4⋊C4—221no—
572C4⋊C4—221no—
573C4⋊C4—224no—
574C4⋊C4—224no—
575C4⋊C4C23×D1114yes—
576C22⋊C4—28no—
577C22⋊C4—28no—
578C22⋊C4—224no—
579C22⋊C4—224no—
580C22⋊C4—224no—
581C22⋊C4—224no—
582C22⋊C4—224no—
583C42—224no—
584C11C2×#319411yescharacteristic, complemented, Sylow
585C23—22no—
586C23—22no—
587C23—28no—
588C23—22no—
589C23—22no—
590C23—22no—
591C23—22no—
592C23—22no—
593C23—22no—
594C23—24no—
595C23—44no—
596C23—44no—
597C23—416no—
598C23—48no—
599C23—48no—
600C23—48no—
601C23—44no—
602C23—44no—
603C23—44no—
604C23—816no—
605C23—222no—
606C23—442no—
607C23—442no—
608C23—442no—
609C23#6698514yes—
610C23C22×C22⋊D1112yes—
611C23C22×C22⋊D1112yes—
612C23C22×C22⋊D1112yes—
613C23C22×C22⋊D1111yescharacteristic
614Q8—224no—
615Q8—442no—
616D4—24no—
617D4—24no—
618D4—48no—
619D4—416no—
620D4—416no—
621D4—44no—
622D4—224no—
623D4—448no—
624D4—448no—
625D4—448no—
626D4—442no—
627C2×C4—22no—
628C2×C4—22no—
629C2×C4—22no—
630C2×C4—24no—
631C2×C4—24no—
632C2×C4—24no—
633C2×C4—24no—
634C2×C4—24no—
635C2×C4—24no—
636C2×C4—24no—
637C2×C4—44no—
638C2×C4—44no—
639C2×C4—44no—
640C2×C4—48no—
641C2×C4—44no—
642C2×C4—222no—
643C2×C4—222no—
644C2×C4—222no—
645C2×C4—448no—
646C2×C4—442no—
647C2×C4—442no—
648C2×C4—442no—
649C2×C4#6703714yes—
650C2×C4C22×C22⋊D1112yes—
651C2×C4C22×C22⋊D1112yes—
652C2×C4C22×C22⋊D1112yes—
653C2×C4C22×C22⋊D1111yescharacteristic
654C2×C4C24×D1111yescharacteristic
655C8—224no—
656C8—224no—
657C22—22no—
658C22—28no—
659C22—22no—
660C22—22no—
661C22—22no—
662C22—22no—
663C22—22no—
664C22—22no—
665C22—22no—
666C22—416no—
667C22—44no—
668C22—44no—
669C22—44no—
670C22—44no—
671C22—44no—
672C22—816no—
673C22—88no—
674C22—442no—
675C22—442no—
676C22—442no—
677C22—884no—
678C22C2×#6698514yes—
679C22C2×#6698512yes—
680C22#1062333512yes—
681C22#1062335312yes—
682C22C23×C22⋊D1111yescharacteristic
683C4—22no—
684C4—22no—
685C4—22no—
686C4—44no—
687C4—442no—
688C4—442no—
689C4—442no—
690C4#1062333512yes—
691C4C2×#6703712yes—
692C2—24no—
693C2—42no—
694C2—42no—
695C2—84no—
696C2—882no—
697C2#1307943014yesdirect product factor
698C2C2×#1062333511yescharacteristic
699C2C22×#6698511yescharacteristic
700C2C2×#1062335311yescharacteristic
subgroupG/H
centerC23C22×C22⋊D11
commutator, cosocleC2×C4×C11C25
FrattiniC2×C4C24×D11
FittingC22×C11×#121C2
socleC23×C11C22×D4
hypercenterC22×#121D11
hypocenterC11C2×#3194
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C23 ◁ C24×C4 ◁ C22×#121

Complements

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

NH ≅ G/Ntype
1. C2×#10623322C2semidirect
2. #13079430C2direct (N × H)
3. C2×#10622648C2semidirect
4. C2×#10622584C2semidirect
5. C2×#10622580C2semidirect
6. C2×#10622652C2semidirect
7. C2×#10622655C2semidirect
8. C2×#10622650C2semidirect
9. C2×#10622831C2semidirect
10. C2×#10622830C2semidirect
11. C2×#10622820C2semidirect
12. C22×C11×#121C2semidirect
16. C22×#4339C22semidirect
22. C2×C11×#121C22semidirect
26. C22×#4324C22semidirect
27. C22×#4323C22semidirect
29. #10623322C22semidirect
31. C2×#66983C22semidirect
35. C2×#66979C22semidirect
37. C2×#66977C22semidirect
38. C22×#4318C22semidirect
39. #10622831C22semidirect
40. #10622830C22semidirect
41. C2×#66896C22semidirect
42. C2×#66896C22semidirect
43. #10622820C22semidirect
46. C2×C22⋊(C11⋊C8)C22semidirect
47. #10622655C22semidirect
48. #10622652C22semidirect
49. #10622650C22semidirect
50. #10622648C22semidirect
51. #10622584C22semidirect
52. C2×#66874C22semidirect
53. #10622580C22semidirect
54. C2×#66873C22semidirect
55. C2×#66872C22semidirect
56. C2×#66871C22semidirect
83. C2×#4339C23semidirect
105. C2×#4324C23semidirect
107. C2×#4323C23semidirect
111. #66983C23semidirect
118. #66979C23semidirect
124. #66977C23semidirect
129. C2×#4318C23semidirect
132. #66896C23semidirect
133. #66896C23semidirect
136. C22⋊(C11⋊C8)C23semidirect
137. #66874C23semidirect
138. #66873C23semidirect
139. #66872C23semidirect
140. #66871C23semidirect
236. C22×#121D11semidirect
338. C2×#121C2×D11semidirect
486. C2×C11#3194semidirect
584. C11C2×#3194semidirect
697. C2#13079430direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#106233222
#130794302
C2×#106226482
C2×#106225842
C2×#106225802
C2×#106226522
C2×#106226552
C2×#106226502
C2×#106228312
C2×#106228302
C2×#106228202
C22×C11×#1212
C2×#319411