Finite Group Databasebeta

← C2×#13116113 #15890754

Subgroups — C2×#13116113 #15890754

Order 3328.

1322 conjugacy classes of subgroups.

The subgroup lattice has 744 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#11718785C211yesmaximal, characteristic, complemented
2C2×#11718897C211yesmaximal, characteristic
3C2×#11718886C211yesmaximal, characteristic, complemented
4C2×#11718898C211yesmaximal, characteristic
5C22×#88076C211yesmaximal, characteristic, complemented
6#13116113C218yesmaximal, direct product factor
7C2×#11718151C211yesmaximal, characteristic, complemented
8C22×C13×#137C211yesmaximal, characteristic
9C22×C13×#41C2211yescharacteristic
10C23×Q8×C13C2211yescharacteristic
11C2×C13×#137—22no—
12C2×C13×#137—22no—
13C2×C13×#137—22no—
14C2×C13×#137—22no—
15C2×C13×#137—22no—
16C2×C13×#137C2214yes—
17C22×C13×Q16—21no—
18C22×C13×SD16—21no—
19C22×C13×M16C2211yescharacteristic
20C2×#88180C2211yescharacteristic
21C22×#6099C2211yescharacteristic
22C22×#6099C2211yescharacteristic
23C22×#6099C2211yescharacteristic
24#11718898—22no—
25#11718898C2214yes—
26#11718897—22no—
27#11718897C2214yes—
28C2×#88077—22no—
29C2×#88076—21no—
30C2×#88076—22no—
31C2×#88076—22no—
32C2×#88076C2214yescomplemented
33#11718886—22no—
34#11718886C2214yescomplemented
35C2×#88075—22no—
36C2×#88073—21no—
37#11718785—22no—
38#11718785C2214yescomplemented
39C2×#88062—22no—
40#11718151C2214yescomplemented
41C2×C13×#41—21no—
42C2×C13×#41—21no—
43C2×C13×#41—21no—
44C2×C13×#41—21no—
45C2×C13×#41—21no—
46C2×C13×#41—21no—
47C2×C13×#41—21no—
48C2×C13×#41—21no—
49C2×C13×#41—21no—
50C2×C13×#41—21no—
51C2×C13×#41D412yes—
52C2×C13×#41C2312yes—
53C22×Q8×C13—21no—
54C22×Q8×C13—21no—
55C22×Q8×C13—21no—
56C22×Q8×C13—21no—
57C22×Q8×C13—21no—
58C22×Q8×C13—21no—
59C22×Q8×C13—21no—
60C22×Q8×C13—21no—
61C22×Q8×C13—21no—
62C22×Q8×C13—21no—
63C22×Q8×C13—21no—
64C22×Q8×C13D411yescharacteristic
65C22×Q8×C13D412yes—
66C22×Q8×C13D412yes—
67C22×Q8×C13C2312yes—
68C22×D4×C13—21no—
69C22×D4×C13D411yescharacteristic
70C23×C4×C13—21no—
71C23×C4×C13—21no—
72C23×C4×C13C2311yescharacteristic
73C13×#137—28no—
74C13×#137—28no—
75C13×#137—28no—
76C13×#137—28no—
77C2×C13×Q16—24no—
78C2×C13×Q16—24no—
79C2×C13×Q16—24no—
80C2×C13×SD16—24no—
81C2×C13×SD16—24no—
82C2×C13×SD16—24no—
83C2×C13×M16—21no—
84C2×C13×M16—21no—
85C2×C13×M16—21no—
86C2×C13×M16D412yes—
87C2×C13×M16D412yes—
88C2×C13×M16C2312yes—
89C22×C8×C13—21no—
90C2×C22⋊Dic13—21no—
91#88180—21no—
92#88180—21no—
93#88180—21no—
94#88180C2312yes—
95C2×C4⋊Dic13—21no—
96C2×C4×Dic13—21no—
97C2×#6099—21no—
98C2×#6099—21no—
99C2×#6099—21no—
100C2×#6099—21no—
101C2×#6099—21no—
102C2×#6099—21no—
103C2×#6099—21no—
104C2×#6099—21no—
105C2×#6099—21no—
106C2×#6099—21no—
107C2×#6099—21no—
108C2×#6099—21no—
109C2×#6099—21no—
110C2×#6099D412yes—
111C2×#6099D412yes—
112C2×#6099C2312yes—
113C2×#6099C2312yes—
114C2×#6099C2312yes—
115C22×#1055—21no—
116C22×#1055—21no—
117C22×#1055—21no—
118#88077—28no—
119#88076—24no—
120#88076—28no—
121#88075—28no—
122#88073—24no—
123#88062—28no—
124C2×#2049—131nomaximal, Sylow
125C24×C13—21no—
126C24×C13#4111yescharacteristic
127C13×#41—22no—
128C13×#41—22no—
129C13×#41—22no—
130C13×#41—22no—
131C13×#41—22no—
132C13×#41—22no—
133C13×#41—22no—
134C13×#41—22no—
135C13×#41—41no—
136C13×#41—41no—
137C13×#41—41no—
138C13×#41—41no—
139C13×#41—41no—
140C13×#41—41no—
141C13×#41—41no—
142C13×#41—41no—
143C2×Q8×C13—22no—
144C2×Q8×C13—22no—
145C2×Q8×C13—21no—
146C2×Q8×C13—22no—
147C2×Q8×C13—22no—
148C2×Q8×C13—22no—
149C2×Q8×C13—21no—
150C2×Q8×C13—21no—
151C2×Q8×C13—22no—
152C2×Q8×C13—22no—
153C2×Q8×C13—21no—
154C2×Q8×C13—21no—
155C2×Q8×C13—22no—
156C2×Q8×C13—22no—
157C2×Q8×C13—22no—
158C2×Q8×C13—22no—
159C2×Q8×C13—22no—
160C2×Q8×C13—22no—
161C2×Q8×C13—22no—
162C2×Q8×C13—22no—
163C2×Q8×C13—41no—
164C2×Q8×C13—41no—
165C2×Q8×C13—41no—
166C2×Q8×C13—41no—
167C2×Q8×C13—41no—
168C2×Q8×C13—41no—
169C2×Q8×C13—41no—
170C2×Q8×C13—41no—
171C2×Q8×C13—41no—
172C2×Q8×C13—41no—
173C2×Q8×C13—41no—
174C2×Q8×C13—41no—
175C2×Q8×C13C2×D414yes—
176C2×Q8×C13C2×D412yes—
177C2×D4×C13—22no—
178C2×D4×C13—22no—
179C2×D4×C13—21no—
180C2×D4×C13—21no—
181C2×D4×C13—21no—
182C2×D4×C13—21no—
183C2×D4×C13—21no—
184C2×D4×C13—41no—
185C2×D4×C13—41no—
186C2×D4×C13—41no—
187C2×D4×C13—41no—
188C2×D4×C13C2×D412yes—
189C22×C4×C13—22no—
190C22×C4×C13—22no—
191C22×C4×C13—21no—
192C22×C4×C13—22no—
193C22×C4×C13—22no—
194C22×C4×C13—22no—
195C22×C4×C13—41no—
196C22×C4×C13—41no—
197C22×C4×C13—41no—
198C22×C4×C13—41no—
199C22×C4×C13—41no—
200C22×C4×C13—41no—
201C22×C4×C13—41no—
202C22×C4×C13—41no—
203C22×C4×C13C2×D411yescharacteristic
204C22×C4×C13C2×D411yescharacteristic
205C22×C4×C13C2×D411yescharacteristic
206C22×C4×C13C2×D411yescharacteristic
207C22×C4×C13C2×D411yescharacteristic
208C22×C4×C13C2×D411yescharacteristic
209C22×C4×C13C2×D411yescharacteristic
210C22×C4×C13C2×D411yescharacteristic
211C22×C4×C13#4111yescharacteristic
212C22×C4×C13#4111yescharacteristic
213C22×C4×C13#4111yescharacteristic
214C22×C4×C13#4111yescharacteristic
215C22×C4×C13#4111yescharacteristic
216C22×C4×C13C2411yescharacteristic
217C22×Dic13—41no—
218C13×Q16—216no—
219C13×SD16—216no—
220C13×M16—22no—
221C13×M16—22no—
222C13×M16—22no—
223C13×M16C2×D414yes—
224C2×C8×C13—22no—
225C2×C8×C13—22no—
226C2×C8×C13—22no—
227C22⋊Dic13—22no—
228C22⋊Dic13—41no—
229C4⋊Dic13—22no—
230C4⋊Dic13—41no—
231C4×Dic13—22no—
232C4×Dic13—41no—
233#6099—22no—
234#6099—22no—
235#6099—22no—
236#6099—22no—
237#6099—22no—
238#6099—22no—
239#6099—22no—
240#6099—41no—
241#6099—41no—
242#6099—41no—
243#6099—41no—
244#6099C2×D414yes—
245C2×#1055—22no—
246C2×#1055—22no—
247C2×#1055—22no—
248C2×#1055—22no—
249C2×#1055—22no—
250C2×#1055—41no—
251C2×#1055—41no—
252C2×#1055—41no—
253C2×#1055—41no—
254C22×#137D1311yescharacteristic
255C2×#430—131no—
256C2×#421—131no—
257C2×#419—131no—
258C2×#413—131no—
259C22×#101—131no—
260#2049—138no—
261C2×#344—131no—
262C23×C13—22no—
263C23×C13—42no—
264C23×C13—41no—
265C23×C13—41no—
266C23×C13—82no—
267C23×C13#12111yescharacteristic
268C23×C13#12111yescharacteristic
269C23×C13#12311yescharacteristic
270C23×C13#12311yescharacteristic
271C23×C13#12411yescharacteristic
272C23×C13#12411yescharacteristic
273C23×C13C2×#4111yescharacteristic
274Q8×C13—24no—
275Q8×C13—22no—
276Q8×C13—22no—
277Q8×C13—24no—
278Q8×C13—42no—
279Q8×C13—42no—
280Q8×C13—42no—
281Q8×C13—42no—
282Q8×C13—42no—
283Q8×C13—42no—
284Q8×C13—41no—
285Q8×C13—41no—
286D4×C13—22no—
287D4×C13—22no—
288D4×C13—42no—
289D4×C13—42no—
290D4×C13—42no—
291D4×C13—42no—
292D4×C13—41no—
293D4×C13—41no—
294C2×C4×C13—24no—
295C2×C4×C13—22no—
296C2×C4×C13—42no—
297C2×C4×C13—42no—
298C2×C4×C13—41no—
299C2×C4×C13—41no—
300C2×C4×C13—42no—
301C2×C4×C13—42no—
302C2×C4×C13—42no—
303C2×C4×C13—42no—
304C2×C4×C13—42no—
305C2×C4×C13—42no—
306C2×C4×C13—42no—
307C2×C4×C13—42no—
308C2×C4×C13#12011yescharacteristic
309C2×C4×C13#12011yescharacteristic
310C2×C4×C13#12011yescharacteristic
311C2×C4×C13#12011yescharacteristic
312C2×C4×C13#12111yescharacteristic
313C2×C4×C13#12111yescharacteristic
314C2×C4×C13#12111yescharacteristic
315C2×C4×C13#12111yescharacteristic
316C2×C4×C13#12111yescharacteristic
317C2×C4×C13#12111yescharacteristic
318C2×C4×C13#12111yescharacteristic
319C2×C4×C13#12111yescharacteristic
320C2×C4×C13#12111yescharacteristic
321C2×C4×C13#12111yescharacteristic
322C2×C4×C13#12311yescharacteristic
323C2×C4×C13#12311yescharacteristic
324C2×C4×C13#12311yescharacteristic
325C2×C4×C13#12311yescharacteristic
326C2×C4×C13#12311yescharacteristic
327C2×C4×C13#12311yescharacteristic
328C2×C4×C13#12411yescharacteristic
329C2×C4×C13#12411yescharacteristic
330C2×C4×C13C22×D411yescharacteristic
331C2×C4×C13C22×D411yescharacteristic
332C2×C4×C13C22×D411yescharacteristic
333C2×C4×C13C22×D411yescharacteristic
334C2×C4×C13C2×#4111yescharacteristic
335C2×C4×C13C2×#4111yescharacteristic
336C2×Dic13—42no—
337C2×Dic13—82no—
338C8×C13—24no—
339#1055—24no—
340#1055—42no—
341#1055—42no—
342C22×#41C2×D1311yescharacteristic
343C23×Q8C2×D1311yescharacteristic
344C2×#137—22no—
345C2×#137—22no—
346C2×#137—22no—
347C2×#137—22no—
348C2×#137—22no—
349C2×#137C2×D1314yes—
350C22×Q16—21no—
351C22×SD16—21no—
352C22×M16—131no—
353C22×M16—131no—
354C22×M16—131no—
355C22×M16C2×D1311yescharacteristic
356C2×#117—131no—
357#430—134no—
358#430—262no—
359C2×#108—262no—
360#421—134no—
361#421—262no—
362C2×#104—262no—
363#419—134no—
364#419—262no—
365C2×#103—262no—
366#413—134no—
367#413—262no—
368C2×#101—134no—
369C2×#101—262no—
370C2×#101—262no—
371C2×#101—261no—
372C2×#100—261no—
373#344—134no—
374C22×C13—22no—
375C22×C13—22no—
376C22×C13—22no—
377C22×C13—41no—
378C22×C13—41no—
379C22×C13—41no—
380C22×C13—41no—
381C22×C13—42no—
382C22×C13—82no—
383C22×C13—82no—
384C22×C13—82no—
385C22×C13#39411yescharacteristic
386C22×C13#39411yescharacteristic
387C22×C13#39411yescharacteristic
388C22×C13#39411yescharacteristic
389C22×C13C2×#12111yescharacteristic
390C22×C13C2×#12311yescharacteristic
391C22×C13C2×#12411yescharacteristic
392C4×C13—42no—
393C4×C13—44no—
394C4×C13#39411yescharacteristic
395C4×C13#39411yescharacteristic
396C4×C13#39411yescharacteristic
397C4×C13#39411yescharacteristic
398C4×C13C2×#12011yescharacteristic
399C4×C13C2×#12111yescharacteristic
400C4×C13C2×#12111yescharacteristic
401C4×C13C2×#12311yescharacteristic
402Dic13—82no—
403C2×#41—21no—
404C2×#41—21no—
405C2×#41—21no—
406C2×#41—21no—
407C2×#41—21no—
408C2×#41—21no—
409C2×#41—21no—
410C2×#41—21no—
411C2×#41—21no—
412C2×#41—21no—
413C2×#41C22⋊D1312yes—
414C2×#41C22×D1312yes—
415C22×Q8—21no—
416C22×Q8—21no—
417C22×Q8—21no—
418C22×Q8—21no—
419C22×Q8—21no—
420C22×Q8—21no—
421C22×Q8—21no—
422C22×Q8—21no—
423C22×Q8—21no—
424C22×Q8—21no—
425C22×Q8—21no—
426C22×Q8C22⋊D1311yescharacteristic
427C22×Q8C22⋊D1312yes—
428C22×Q8C22⋊D1312yes—
429C22×Q8C22×D1312yes—
430C22×D4—21no—
431C22×D4C22⋊D1311yescharacteristic
432C23×C4—21no—
433C23×C4—21no—
434C23×C4C22×D1311yescharacteristic
435#137—28no—
436#137—28no—
437#137—28no—
438#137—28no—
439C2×Q16—24no—
440C2×Q16—24no—
441C2×Q16—24no—
442C2×SD16—24no—
443C2×SD16—24no—
444C2×SD16—24no—
445C2×M16—21no—
446C2×M16—21no—
447C2×M16—21no—
448C2×M16—132no—
449C2×M16—132no—
450C2×M16—132no—
451C2×M16—132no—
452C2×M16—132no—
453C2×M16—261no—
454C2×M16—261no—
455C2×M16—261no—
456C2×M16—261no—
457C2×M16—261no—
458C2×M16—261no—
459C2×M16—261no—
460C2×M16—261no—
461C2×M16—261no—
462C2×M16—261no—
463C2×M16—261no—
464C2×M16—261no—
465C2×M16—261no—
466C2×M16C22⋊D1312yes—
467C2×M16C22⋊D1312yes—
468C2×M16C22×D1312yes—
469C22×C8—21no—
470C22×C8—261no—
471C22×C8—261no—
472C22×C8—261no—
473#117—132no—
474#117—261no—
475#117—261no—
476#117—261no—
477C2×C4⋊C4—261no—
478C2×C22⋊C4—261no—
479C2×C42—261no—
480#108—268no—
481#104—268no—
482#103—268no—
483#101—268no—
484#101—264no—
485#100—264no—
486C2×C13—21no—
487C2×C13—21no—
488C2×C13—21no—
489C2×C13—21no—
490C2×C13—21no—
491C2×C13—21no—
492C2×C13—82no—
493C2×C13#204912yescomplemented
494C2×C13C2×#39411yescharacteristic
495C24—21no—
496C24#612911yescharacteristic
497#41—22no—
498#41—22no—
499#41—22no—
500#41—22no—
501#41—22no—
502#41—22no—
503#41—22no—
504#41—22no—
505#41—41no—
506#41—41no—
507#41—41no—
508#41—41no—
509#41—41no—
510#41—41no—
511#41—41no—
512#41—41no—
513C2×Q8—21no—
514C2×Q8—22no—
515C2×Q8—22no—
516C2×Q8—22no—
517C2×Q8—22no—
518C2×Q8—22no—
519C2×Q8—22no—
520C2×Q8—22no—
521C2×Q8—21no—
522C2×Q8—21no—
523C2×Q8—22no—
524C2×Q8—22no—
525C2×Q8—21no—
526C2×Q8—21no—
527C2×Q8—22no—
528C2×Q8—22no—
529C2×Q8—22no—
530C2×Q8—22no—
531C2×Q8—22no—
532C2×Q8—22no—
533C2×Q8—41no—
534C2×Q8—41no—
535C2×Q8—41no—
536C2×Q8—41no—
537C2×Q8—41no—
538C2×Q8—41no—
539C2×Q8—41no—
540C2×Q8—41no—
541C2×Q8—41no—
542C2×Q8—41no—
543C2×Q8—41no—
544C2×Q8—41no—
545C2×Q8C2×C22⋊D1312yes—
546C2×Q8C2×C22⋊D1314yes—
547C2×D4—22no—
548C2×D4—22no—
549C2×D4—21no—
550C2×D4—21no—
551C2×D4—21no—
552C2×D4—21no—
553C2×D4—21no—
554C2×D4—41no—
555C2×D4—41no—
556C2×D4—41no—
557C2×D4—41no—
558C2×D4C2×C22⋊D1312yes—
559C22×C4—21no—
560C22×C4—22no—
561C22×C4—22no—
562C22×C4—22no—
563C22×C4—22no—
564C22×C4—22no—
565C22×C4—41no—
566C22×C4—41no—
567C22×C4—41no—
568C22×C4—41no—
569C22×C4—41no—
570C22×C4—41no—
571C22×C4—41no—
572C22×C4—41no—
573C22×C4—521no—
574C22×C4D4×D1311yescharacteristic
575C22×C4D4×D1311yescharacteristic
576C22×C4#612911yescharacteristic
577C22×C4#612911yescharacteristic
578C22×C4#612911yescharacteristic
579C22×C4#612911yescharacteristic
580C22×C4#612911yescharacteristic
581C22×C4C2×C22⋊D1311yescharacteristic
582C22×C4C2×C22⋊D1311yescharacteristic
583C22×C4C2×C22⋊D1311yescharacteristic
584C22×C4C2×C22⋊D1311yescharacteristic
585C22×C4C2×C22⋊D1311yescharacteristic
586C22×C4C2×C22⋊D1311yescharacteristic
587C22×C4C23×D1311yescharacteristic
588Q16—216no—
589SD16—216no—
590M16—22no—
591M16—22no—
592M16—22no—
593M16—134no—
594M16—262no—
595M16—262no—
596M16—262no—
597M16—262no—
598M16—262no—
599M16—262no—
600M16—262no—
601M16—521no—
602M16—521no—
603M16—521no—
604M16—521no—
605M16C2×C22⋊D1314yes—
606C2×C8—22no—
607C2×C8—22no—
608C2×C8—22no—
609C2×C8—262no—
610C2×C8—262no—
611C2×C8—262no—
612C2×C8—262no—
613C2×C8—262no—
614C2×C8—521no—
615C2×C8—521no—
616C2×C8—521no—
617C2×C8—521no—
618C4⋊C4—262no—
619C4⋊C4—521no—
620C22⋊C4—262no—
621C22⋊C4—521no—
622C42—262no—
623C42—521no—
624C13C2×#204911yescharacteristic, complemented, Sylow
625C23—22no—
626C23—42no—
627C23—41no—
628C23—41no—
629C23—82no—
630C23#8818911yescharacteristic
631C23#8818911yescharacteristic
632C23#8819011yescharacteristic
633C23#8819011yescharacteristic
634C23#8819311yescharacteristic
635C23#8819311yescharacteristic
636C23C2×#612911yescharacteristic
637Q8—24no—
638Q8—22no—
639Q8—24no—
640Q8—22no—
641Q8—42no—
642Q8—42no—
643Q8—42no—
644Q8—42no—
645Q8—42no—
646Q8—42no—
647Q8—41no—
648Q8—41no—
649D4—22no—
650D4—22no—
651D4—42no—
652D4—42no—
653D4—42no—
654D4—42no—
655D4—41no—
656D4—41no—
657C2×C4—22no—
658C2×C4—24no—
659C2×C4—42no—
660C2×C4—42no—
661C2×C4—41no—
662C2×C4—42no—
663C2×C4—42no—
664C2×C4—42no—
665C2×C4—41no—
666C2×C4—42no—
667C2×C4—42no—
668C2×C4—42no—
669C2×C4—42no—
670C2×C4—42no—
671C2×C4—522no—
672C2×C4—1042no—
673C2×C4#8818911yescharacteristic
674C2×C4#8818911yescharacteristic
675C2×C4#8818911yescharacteristic
676C2×C4#8818911yescharacteristic
677C2×C4#8818911yescharacteristic
678C2×C4#8818911yescharacteristic
679C2×C4#8819011yescharacteristic
680C2×C4#8819011yescharacteristic
681C2×C4#8819211yescharacteristic
682C2×C4#8819211yescharacteristic
683C2×C4#8819211yescharacteristic
684C2×C4#8819211yescharacteristic
685C2×C4#8819311yescharacteristic
686C2×C4#8819311yescharacteristic
687C2×C4#8819311yescharacteristic
688C2×C4#8819311yescharacteristic
689C2×C4#8819311yescharacteristic
690C2×C4#8819311yescharacteristic
691C2×C4#8820711yescharacteristic
692C2×C4#8820711yescharacteristic
693C2×C4#8820711yescharacteristic
694C2×C4#8820711yescharacteristic
695C2×C4C2×D4×D1311yescharacteristic
696C2×C4C2×#612911yescharacteristic
697C2×C4C2×#612911yescharacteristic
698C2×C4C22×C22⋊D1311yescharacteristic
699C2×C4C22×C22⋊D1311yescharacteristic
700C2×C4C22×C22⋊D1311yescharacteristic
701C8—24no—
702C8—264no—
703C8—522no—
704C8—522no—
705C22—22no—
706C22—22no—
707C22—22no—
708C22—41no—
709C22—41no—
710C22—41no—
711C22—41no—
712C22—42no—
713C22—82no—
714C22—82no—
715C22—82no—
716C22#1171888311yescharacteristic
717C22#1171888311yescharacteristic
718C22#1171888311yescharacteristic
719C22#1171888311yescharacteristic
720C22C2×#8818911yescharacteristic
721C22C2×#8819011yescharacteristic
722C22C2×#8819311yescharacteristic
723C4—42no—
724C4—44no—
725C4—1042no—
726C4#1171888311yescharacteristic
727C4#1171888311yescharacteristic
728C4#1171888311yescharacteristic
729C4#1171888311yescharacteristic
730C4C2×#8818911yescharacteristic
731C4C2×#8819211yescharacteristic
732C4C2×#8819311yescharacteristic
733C4C2×#8820711yescharacteristic
734C2—21no—
735C2—21no—
736C2—21no—
737C2—21no—
738C2—21no—
739C2—21no—
740C2—82no—
741C2#1311611312yesdirect product factor
742C2C2×#1171888311yescharacteristic
subgroupG/H
centerC22#11718883
commutator, cosocleC22×C4×C13C24
FrattiniC22×C4C23×D13
FittingC22×C13×#137C2
socleC22×C13#394
prime radicalC22×C13×#41C22
hypercenterC22×#137D13
hypocenterC13C2×#2049
LCSG ▷ C22×C4×C13 ▷ C2×C13 ▷ C13
UCSC1 ◁ C22 ◁ C23×C4 ◁ C22×#137

Complements

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

NH ≅ G/Ntype
1. C2×#11718785C2semidirect
3. C2×#11718886C2semidirect
5. C22×#88076C2semidirect
6. #13116113C2direct (N × H)
7. C2×#11718151C2semidirect
32. C2×#88076C22semidirect
34. #11718886C22semidirect
38. #11718785C22semidirect
40. #11718151C22semidirect
493. C2×C13#2049semidirect
624. C13C2×#2049semidirect
741. C2#13116113direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#117187852
C2×#117188972
C2×#117188862
C2×#117188982
C22×#880762
#131161132
C2×#117181512
C22×C13×#1372
C2×#204913