Finite Group Databasebeta

← C2×#13119549 #16032108

Subgroups — C2×#13119549 #16032108

Order 3328.

2270 conjugacy classes of subgroups.

The subgroup lattice has 716 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13119549C2116yesmaximal, direct product factor
2C2×#11718653C211yesmaximal, characteristic
3C2×#11718322C211yesmaximal, characteristic, complemented
4C2×#11718655C211yesmaximal, characteristic
5C2×#11718634C211yesmaximal, characteristic, complemented
6C2×#11718633C211yesmaximal, characteristic, complemented
7C2×#11718331C211yesmaximal, characteristic
8C2×#11718651C211yesmaximal, characteristic
9C2×#11718642C211yesmaximal, characteristic, complemented
10C2×#11718314C211yesmaximal, characteristic, complemented
11C2×#11718315C211yesmaximal, characteristic, complemented
12C2×#11718329C211yesmaximal, characteristic
13C2×#11718648C211yesmaximal, characteristic
14C2×C4⋊C4×Dic13C211yesmaximal, characteristic, complemented
15C2×#11718327C211yesmaximal, characteristic
16C2×C13×#398C211yesmaximal, characteristic, complemented
17C23×C4×D13C2211yescharacteristic
18C22×C13×C4⋊C4C2211yescharacteristic
19C22×C13×C4⋊C4C2211yescharacteristic
20C22×C13×C4⋊C4C2211yescharacteristic
21C22×C13×C4⋊C4C2211yescharacteristic
22C22×#6103C2211yescharacteristic
23C22×#6103C2211yescharacteristic
24C22×#6103C2211yescharacteristic
25C22×#6103C2211yescharacteristic
26C22×#6103C2211yescharacteristic
27C22×#6103C2211yescharacteristic
28C22×C4⋊Dic13C2211yescharacteristic
29C22×C4⋊Dic13C2211yescharacteristic
30C22×C4⋊Dic13C2211yescharacteristic
31C22×C4⋊Dic13C2211yescharacteristic
32C22×#6101C2211yescharacteristic
33C22×#6101C2211yescharacteristic
34C22×#6101C2211yescharacteristic
35C22×#6101C2211yescharacteristic
36C22×C4×Dic13C2211yescharacteristic
37C22×C4×Dic13C2211yescharacteristic
38C22×C4×Dic13C2211yescharacteristic
39C22×C4×Dic13C2211yescharacteristic
40C13×#398C2218yescomplemented
41C2×C13×#95C2211yescharacteristic
42C2×C13×#95C2211yescharacteristic
43C2×C13×#95C2211yescharacteristic
44C2×#88071C2211yescharacteristic
45C2×#88071C2211yescharacteristic
46C2×#88071C2211yescharacteristic
47C2×#88071C2211yescharacteristic
48C2×#88071C2211yescharacteristic
49C2×#88071C2211yescharacteristic
50C2×#88071C2211yescharacteristic
51C2×#88071C2211yescharacteristic
52C2×#88071C2211yescharacteristic
53#11718655C2218yes—
54#11718653C2218yes—
55#11718651C2218yes—
56#11718648C2218yes—
57#11718642C2218yescomplemented
58C4⋊C4×Dic13C2218yescomplemented
59#11718634C2218yescomplemented
60#11718633C2218yescomplemented
61#11718331C2218yes—
62#11718329C2218yes—
63#11718327C2218yes—
64#11718322C2218yescomplemented
65#11718315C2218yescomplemented
66#11718314C2218yescomplemented
67C24×D13C2311yescharacteristic
68C23×C4×C13C2311yescharacteristic
69C23×C4×C13C2311yescharacteristic
70C23×C4×C13C2311yescharacteristic
71C23×C4×C13C2311yescharacteristic
72C23×C4×C13C2311yescharacteristic
73C23×C4×C13C2311yescharacteristic
74C23×C4×C13C2311yescharacteristic
75C23×Dic13C2311yescharacteristic
76C23×Dic13C2311yescharacteristic
77C23×Dic13C2311yescharacteristic
78C23×Dic13C2311yescharacteristic
79C23×Dic13C2311yescharacteristic
80C23×Dic13C2311yescharacteristic
81C23×Dic13C2311yescharacteristic
82C22×C4×D13—24no—
83C22×C4×D13—24no—
84C22×C4×D13—42no—
85C22×C4×D13C2314yes—
86C2×C13×C4⋊C4—24no—
87C2×C13×C4⋊C4—24no—
88C2×C13×C4⋊C4—42no—
89C2×C13×C4⋊C4—42no—
90C2×C13×C4⋊C4C2314yes—
91C2×C13×C4⋊C4C2314yes—
92C2×C13×C4⋊C4C2314yes—
93C2×C13×C4⋊C4C2314yes—
94C2×#6103—24no—
95C2×#6103—24no—
96C2×#6103—42no—
97C2×#6103—42no—
98C2×#6103—42no—
99C2×#6103Q818yes—
100C2×#6103C2314yes—
101C2×#6103C2314yes—
102C2×#6103C2314yes—
103C2×#6103C2314yes—
104C2×#6103C2314yes—
105C2×#6103C2314yes—
106C2×C4⋊Dic13—24no—
107C2×C4⋊Dic13—24no—
108C2×C4⋊Dic13—24no—
109C2×C4⋊Dic13—24no—
110C2×C4⋊Dic13C2314yes—
111C2×C4⋊Dic13C2314yes—
112C2×C4⋊Dic13C2314yes—
113C2×C4⋊Dic13C2314yes—
114C2×#6101—24no—
115C2×#6101—42no—
116C2×#6101—42no—
117C2×#6101—42no—
118C2×#6101C2314yes—
119C2×#6101C2314yes—
120C2×#6101C2314yes—
121C2×#6101C2314yes—
122C2×C4×Dic13—24no—
123C2×C4×Dic13—42no—
124C2×C4×Dic13—42no—
125C2×C4×Dic13—42no—
126C2×C4×Dic13C2314yes—
127C2×C4×Dic13C2314yes—
128C2×C4×Dic13C2314yes—
129C2×C4×Dic13C2314yes—
130C13×#95C2314yes—
131C13×#95C2314yes—
132C13×#95C2314yes—
133#88071C2314yes—
134#88071C2314yes—
135#88071C2314yes—
136#88071C2314yes—
137#88071C2314yes—
138#88071C2314yes—
139#88071C2314yes—
140#88071C2314yes—
141#88071C2314yes—
142C2×#2522—131nomaximal, Sylow
143C24×C13C2411yescharacteristic
144C23×D13—22no—
145C23×D13—22no—
146C23×D13—22no—
147C23×D13—22no—
148C23×D13—22no—
149C23×D13—22no—
150C23×D13C2×Q814yes—
151C23×D13C2412yes—
152C22×C4×C13—22no—
153C22×C4×C13—22no—
154C22×C4×C13—22no—
155C22×C4×C13—22no—
156C22×C4×C13—22no—
157C22×C4×C13—22no—
158C22×C4×C13—22no—
159C22×C4×C13—22no—
160C22×C4×C13—22no—
161C22×C4×C13—22no—
162C22×C4×C13—22no—
163C22×C4×C13—22no—
164C22×C4×C13—22no—
165C22×C4×C13—22no—
166C22×C4×C13—22no—
167C22×C4×C13—22no—
168C22×C4×C13—22no—
169C22×C4×C13—22no—
170C22×C4×C13C2×Q814yes—
171C22×C4×C13#4114yes—
172C22×C4×C13#4114yes—
173C22×C4×C13C2412yes—
174C22×C4×C13C2412yes—
175C22×C4×C13C2412yes—
176C22×C4×C13C2412yes—
177C22×C4×C13C2412yes—
178C22×C4×C13C2412yes—
179C22×C4×C13C2412yes—
180C22×Dic13—22no—
181C22×Dic13—22no—
182C22×Dic13—22no—
183C22×Dic13—22no—
184C22×Dic13—22no—
185C22×Dic13—22no—
186C22×Dic13—22no—
187C22×Dic13—22no—
188C22×Dic13—22no—
189C22×Dic13—22no—
190C22×Dic13—22no—
191C22×Dic13—22no—
192C22×Dic13—22no—
193C22×Dic13—22no—
194C22×Dic13—22no—
195C22×Dic13—22no—
196C22×Dic13—22no—
197C22×Dic13—22no—
198C22×Dic13C2×Q814yes—
199C22×Dic13#4114yes—
200C22×Dic13#4114yes—
201C22×Dic13C2412yes—
202C22×Dic13C2412yes—
203C22×Dic13C2412yes—
204C22×Dic13C2412yes—
205C22×Dic13C2412yes—
206C22×Dic13C2412yes—
207C22×Dic13C2412yes—
208C2×C4×D13—28no—
209C2×C4×D13—28no—
210C2×C4×D13—44no—
211C2×C4×D13—416no—
212C13×C4⋊C4—28no—
213C13×C4⋊C4—28no—
214C13×C4⋊C4—44no—
215C13×C4⋊C4—44no—
216#6103—28no—
217#6103—28no—
218#6103—44no—
219#6103—44no—
220#6103—44no—
221#6103C2×Q8116yes—
222C4⋊Dic13—28no—
223C4⋊Dic13—28no—
224C4⋊Dic13—28no—
225C4⋊Dic13—28no—
226#6101—28no—
227#6101—44no—
228#6101—44no—
229#6101—44no—
230C4×Dic13—28no—
231C4×Dic13—44no—
232C4×Dic13—44no—
233C4×Dic13—44no—
234#2522—1316no—
235C2×#399—131no—
236C2×#398—131no—
237C2×#398D1311yescharacteristic, complemented
238C2×#396—131no—
239C2×#389—131no—
240C2×#389—131no—
241C2×#388—131no—
242C2×#388—131no—
243C2×#387—131no—
244C2×#387—131no—
245C2×#387—131no—
246C2×#385—131no—
247C2×#380—131no—
248C2×C4×C4⋊C4—131no—
249C2×C4×C22⋊C4—131no—
250C23×C13C22×Q812yes—
251C23×C13C2×#4112yes—
252C23×C13C2×#4112yes—
253C23×C13C2×#4112yes—
254C23×C13C2×#4112yes—
255C23×C13H(5,𝔽2)12yes—
256C23×C13H(5,𝔽2)12yes—
257C23×C13C2511yescharacteristic
258C22×D13—28no—
259C22×D13—28no—
260C22×D13—28no—
261C22×D13—22no—
262C22×D13—22no—
263C22×D13—22no—
264C22×D13—22no—
265C22×D13—22no—
266C22×D13—22no—
267C22×D13—44no—
268C22×D13—44no—
269C22×D13—44no—
270C22×D13—44no—
271C22×D13C22×Q814yes—
272C2×C4×C13—28no—
273C2×C4×C13—28no—
274C2×C4×C13—28no—
275C2×C4×C13—22no—
276C2×C4×C13—22no—
277C2×C4×C13—22no—
278C2×C4×C13—22no—
279C2×C4×C13—22no—
280C2×C4×C13—22no—
281C2×C4×C13—22no—
282C2×C4×C13—22no—
283C2×C4×C13—22no—
284C2×C4×C13—22no—
285C2×C4×C13—22no—
286C2×C4×C13—22no—
287C2×C4×C13—22no—
288C2×C4×C13—22no—
289C2×C4×C13—22no—
290C2×C4×C13—22no—
291C2×C4×C13—22no—
292C2×C4×C13—22no—
293C2×C4×C13—44no—
294C2×C4×C13—44no—
295C2×C4×C13—44no—
296C2×C4×C13—44no—
297C2×C4×C13C22×Q814yes—
298C2×C4×C13C2×#4114yes—
299C2×C4×C13C2×#4114yes—
300C2×Dic13—28no—
301C2×Dic13—28no—
302C2×Dic13—28no—
303C2×Dic13—22no—
304C2×Dic13—22no—
305C2×Dic13—22no—
306C2×Dic13—22no—
307C2×Dic13—22no—
308C2×Dic13—22no—
309C2×Dic13—22no—
310C2×Dic13—22no—
311C2×Dic13—22no—
312C2×Dic13—22no—
313C2×Dic13—22no—
314C2×Dic13—22no—
315C2×Dic13—22no—
316C2×Dic13—22no—
317C2×Dic13—22no—
318C2×Dic13—22no—
319C2×Dic13—22no—
320C2×Dic13—22no—
321C2×Dic13—44no—
322C2×Dic13—44no—
323C2×Dic13—44no—
324C2×Dic13—44no—
325C2×Dic13C22×Q814yes—
326C2×Dic13C2×#4114yes—
327C2×Dic13C2×#4114yes—
328C4×D13—416no—
329C24×C4—131no—
330C22×C4⋊C4—131no—
331C22×C4⋊C4—131no—
332C22×C4⋊C4—131no—
333C22×C4⋊C4—131no—
334C22×C4⋊C4—131no—
335C22×C4⋊C4—131no—
336C22×C4⋊C4—131no—
337C22×C4⋊C4—131no—
338C22×C4⋊C4C2×D1311yescharacteristic
339C22×C4⋊C4C2×D1311yescharacteristic
340C22×C4⋊C4C2×D1311yescharacteristic
341C22×C4⋊C4C2×D1311yescharacteristic
342C22×C22⋊C4—131no—
343C22×C22⋊C4—131no—
344C22×C22⋊C4—131no—
345C22×C22⋊C4—131no—
346C22×C22⋊C4—131no—
347C22×C22⋊C4—131no—
348C22×C42—131no—
349C22×C42—131no—
350C22×C42—131no—
351C22×C42—131no—
352#399—138no—
353#398—138no—
354#398C2×D1318yescomplemented
355#396—138no—
356#389—138no—
357#389—138no—
358#388—138no—
359#388—138no—
360#387—138no—
361#387—138no—
362#387—138no—
363#385—138no—
364#380—138no—
365C4×C4⋊C4—138no—
366C4×C22⋊C4—138no—
367C2×#95—131no—
368C2×#95—131no—
369C2×#95—131no—
370C2×#95—131no—
371C2×#95—131no—
372C2×#95—131no—
373C2×#95—131no—
374C2×#95—131no—
375C2×#95—131no—
376C2×#95C2×D1311yescharacteristic
377C2×#95C2×D1311yescharacteristic
378C2×#95C2×D1311yescharacteristic
379C22×C13#52914yes—
380C22×C13#53314yes—
381C22×C13#54014yes—
382C22×C13#55114yes—
383C22×C13#55314yes—
384C22×C13#55414yes—
385C22×C13#55414yes—
386C22×C13C23×Q811yescharacteristic
387C22×C13C22×#4111yescharacteristic
388C22×C13C22×#4111yescharacteristic
389C22×C13C22×#4111yescharacteristic
390C22×C13C22×#4111yescharacteristic
391C22×C13C2×H(5,𝔽2)11yescharacteristic
392C22×C13C2×H(5,𝔽2)11yescharacteristic
393C2×D13—24no—
394C2×D13—24no—
395C2×D13—24no—
396C2×D13—42no—
397C2×D13—42no—
398C2×D13—42no—
399C2×D13—42no—
400C2×D13—416no—
401C4×C13—24no—
402C4×C13—24no—
403C4×C13—24no—
404C4×C13—42no—
405C4×C13—42no—
406C4×C13—42no—
407C4×C13—42no—
408Dic13—24no—
409Dic13—24no—
410Dic13—24no—
411Dic13—42no—
412Dic13—42no—
413Dic13—42no—
414Dic13—42no—
415C25—131no—
416C23×C4—131no—
417C23×C4—131no—
418C23×C4—131no—
419C23×C4—131no—
420C23×C4—131no—
421C23×C4—131no—
422C23×C4—131no—
423C23×C4—134no—
424C23×C4—264no—
425C23×C4—264no—
426C23×C4—522no—
427C23×C4C22×D1311yescharacteristic
428C23×C4C22×D1311yescharacteristic
429C23×C4C22×D1311yescharacteristic
430C23×C4C22×D1311yescharacteristic
431C23×C4C22×D1311yescharacteristic
432C23×C4C22×D1311yescharacteristic
433C23×C4C22×D1311yescharacteristic
434C2×C4⋊C4—24no—
435C2×C4⋊C4—24no—
436C2×C4⋊C4—42no—
437C2×C4⋊C4—42no—
438C2×C4⋊C4—134no—
439C2×C4⋊C4—134no—
440C2×C4⋊C4—134no—
441C2×C4⋊C4—134no—
442C2×C4⋊C4—134no—
443C2×C4⋊C4—134no—
444C2×C4⋊C4—134no—
445C2×C4⋊C4—134no—
446C2×C4⋊C4—264no—
447C2×C4⋊C4—264no—
448C2×C4⋊C4—264no—
449C2×C4⋊C4—264no—
450C2×C4⋊C4—264no—
451C2×C4⋊C4—522no—
452C2×C4⋊C4—522no—
453C2×C4⋊C4—522no—
454C2×C4⋊C4C22×D1314yes—
455C2×C4⋊C4C22×D1314yes—
456C2×C4⋊C4C22×D1314yes—
457C2×C4⋊C4C22×D1314yes—
458C2×C22⋊C4—138no—
459C2×C22⋊C4—134no—
460C2×C22⋊C4—134no—
461C2×C22⋊C4—134no—
462C2×C22⋊C4—134no—
463C2×C22⋊C4—134no—
464C2×C22⋊C4—134no—
465C2×C22⋊C4—264no—
466C2×C22⋊C4—264no—
467C2×C22⋊C4—522no—
468C2×C22⋊C4—522no—
469C2×C22⋊C4—522no—
470C2×C42—134no—
471C2×C42—134no—
472C2×C42—134no—
473C2×C42—134no—
474C2×C42—264no—
475C2×C42—522no—
476C2×C42—522no—
477C2×C42—522no—
478#95—134no—
479#95—134no—
480#95—134no—
481#95—134no—
482#95—134no—
483#95—134no—
484#95—134no—
485#95—134no—
486#95—134no—
487#95C22×D1314yes—
488#95C22×D1314yes—
489#95C22×D1314yes—
490C2×C13#252218yescomplemented
491C2×C13C2×#52911yescharacteristic
492C2×C13C2×#53311yescharacteristic
493C2×C13C2×#54011yescharacteristic
494C2×C13C2×#55111yescharacteristic
495C2×C13C2×#55311yescharacteristic
496C2×C13C2×#55411yescharacteristic
497C2×C13C2×#55411yescharacteristic
498D13—44no—
499C24—134no—
500C24—132no—
501C24—262no—
502C24—262no—
503C24—262no—
504C24—262no—
505C24—262no—
506C24—262no—
507C24C23×D1311yescharacteristic
508C22×C4—22no—
509C22×C4—22no—
510C22×C4—22no—
511C22×C4—22no—
512C22×C4—22no—
513C22×C4—22no—
514C22×C4—22no—
515C22×C4—22no—
516C22×C4—22no—
517C22×C4—22no—
518C22×C4—22no—
519C22×C4—22no—
520C22×C4—22no—
521C22×C4—22no—
522C22×C4—22no—
523C22×C4—22no—
524C22×C4—22no—
525C22×C4—22no—
526C22×C4—134no—
527C22×C4—134no—
528C22×C4—134no—
529C22×C4—132no—
530C22×C4—132no—
531C22×C4—132no—
532C22×C4—132no—
533C22×C4—132no—
534C22×C4—132no—
535C22×C4—132no—
536C22×C4—268no—
537C22×C4—262no—
538C22×C4—262no—
539C22×C4—262no—
540C22×C4—262no—
541C22×C4—262no—
542C22×C4—262no—
543C22×C4—262no—
544C22×C4—262no—
545C22×C4—262no—
546C22×C4—262no—
547C22×C4—262no—
548C22×C4—262no—
549C22×C4—262no—
550C22×C4—262no—
551C22×C4—262no—
552C22×C4—262no—
553C22×C4—262no—
554C22×C4—262no—
555C22×C4—268no—
556C22×C4—524no—
557C22×C4—5216no—
558C22×C4#612914yes—
559C22×C4Q8×D1314yes—
560C22×C4#613114yes—
561C22×C4C23×D1312yes—
562C22×C4C23×D1312yes—
563C22×C4C23×D1312yes—
564C22×C4C23×D1312yes—
565C22×C4C23×D1312yes—
566C22×C4C23×D1312yes—
567C22×C4C23×D1312yes—
568C4⋊C4—28no—
569C4⋊C4—28no—
570C4⋊C4—44no—
571C4⋊C4—44no—
572C4⋊C4—268no—
573C4⋊C4—268no—
574C4⋊C4—268no—
575C4⋊C4—268no—
576C4⋊C4—268no—
577C4⋊C4—524no—
578C4⋊C4—524no—
579C4⋊C4—524no—
580C22⋊C4—1316no—
581C22⋊C4—268no—
582C22⋊C4—268no—
583C22⋊C4—524no—
584C22⋊C4—524no—
585C22⋊C4—524no—
586C42—268no—
587C42—524no—
588C42—524no—
589C42—524no—
590C13C2×#252211yescharacteristic, complemented, Sylow
591C23—134no—
592C23—268no—
593C23—268no—
594C23—262no—
595C23—262no—
596C23—262no—
597C23—262no—
598C23—262no—
599C23—262no—
600C23—268no—
601C23—524no—
602C23—524no—
603C23—524no—
604C23—524no—
605C23C2×#612912yes—
606C23#8825112yes—
607C23C2×Q8×D1312yes—
608C23C2×#613112yes—
609C23#41×D1312yes—
610C23#41×D1312yes—
611C23#8825612yes—
612C23C24×D1311yescharacteristic
613C2×C4—28no—
614C2×C4—28no—
615C2×C4—28no—
616C2×C4—22no—
617C2×C4—22no—
618C2×C4—22no—
619C2×C4—22no—
620C2×C4—22no—
621C2×C4—22no—
622C2×C4—22no—
623C2×C4—22no—
624C2×C4—22no—
625C2×C4—22no—
626C2×C4—22no—
627C2×C4—22no—
628C2×C4—22no—
629C2×C4—22no—
630C2×C4—22no—
631C2×C4—22no—
632C2×C4—22no—
633C2×C4—22no—
634C2×C4—44no—
635C2×C4—44no—
636C2×C4—44no—
637C2×C4—44no—
638C2×C4—134no—
639C2×C4—134no—
640C2×C4—134no—
641C2×C4—268no—
642C2×C4—262no—
643C2×C4—262no—
644C2×C4—262no—
645C2×C4—262no—
646C2×C4—262no—
647C2×C4—262no—
648C2×C4—268no—
649C2×C4—268no—
650C2×C4—262no—
651C2×C4—262no—
652C2×C4—262no—
653C2×C4—262no—
654C2×C4—262no—
655C2×C4—262no—
656C2×C4—262no—
657C2×C4—262no—
658C2×C4—262no—
659C2×C4—262no—
660C2×C4—262no—
661C2×C4—262no—
662C2×C4—5216no—
663C2×C4—524no—
664C2×C4—524no—
665C2×C4—524no—
666C2×C4—524no—
667C2×C4C2×#612914yes—
668C2×C4C2×Q8×D1314yes—
669C2×C4C2×#613114yes—
670C22—264no—
671C22—264no—
672C22—264no—
673C22—522no—
674C22—5216no—
675C22—522no—
676C22—522no—
677C22—522no—
678C22#1171932414yes—
679C22#1171934114yes—
680C22#1171934214yes—
681C22#1171935414yes—
682C22#1171939514yes—
683C22#1171940014yes—
684C22#1171943314yes—
685C22C22×#612911yescharacteristic
686C22C2×#8825111yescharacteristic
687C22C22×Q8×D1311yescharacteristic
688C22C22×#613111yescharacteristic
689C22C2×#41×D1311yescharacteristic
690C22C2×#41×D1311yescharacteristic
691C22C2×#8825611yescharacteristic
692C4—24no—
693C4—24no—
694C4—24no—
695C4—42no—
696C4—42no—
697C4—42no—
698C4—42no—
699C4—264no—
700C4—264no—
701C4—264no—
702C4—522no—
703C4—522no—
704C4—522no—
705C4—522no—
706C2—524no—
707C2#1311954918yesdirect product factor
708C2C2×#1171935411yescharacteristic
709C2C2×#1171943311yescharacteristic
710C2C2×#1171932411yescharacteristic
711C2C2×#1171934211yescharacteristic
712C2C2×#1171940011yescharacteristic
713C2C2×#1171934111yescharacteristic
714C2C2×#1171939511yescharacteristic
subgroupG/H
centerC24C23×D13
commutator, cosocleC23×C13C25
FrattiniC23C24×D13
FittingC2×C13×#398C2
socleC24×C13C24
prime radicalC24×D13C23
hypercenterC2×#398D13
hypocenterC13C2×#2522
LCSG ▷ C23×C13 ▷ C13
UCSC1 ◁ C24 ◁ C2×#398

Complements

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

NH ≅ G/Ntype
1. #13119549C2direct (N × H)
3. C2×#11718322C2semidirect
5. C2×#11718634C2semidirect
6. C2×#11718633C2semidirect
9. C2×#11718642C2semidirect
10. C2×#11718314C2semidirect
11. C2×#11718315C2semidirect
14. C2×C4⋊C4×Dic13C2semidirect
16. C2×C13×#398C2semidirect
40. C13×#398C22semidirect
57. #11718642C22semidirect
58. C4⋊C4×Dic13C22semidirect
59. #11718634C22semidirect
60. #11718633C22semidirect
64. #11718322C22semidirect
65. #11718315C22semidirect
66. #11718314C22semidirect
237. C2×#398D13semidirect
354. #398C2×D13semidirect
490. C2×C13#2522semidirect
590. C13C2×#2522semidirect
707. C2#13119549direct (N × H)

Maximal subgroups

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

subgroupindex
#131195492
C2×#117186532
C2×#117183222
C2×#117186552
C2×#117186342
C2×#117186332
C2×#117183312
C2×#117186512
C2×#117186422
C2×#117183142
C2×#117183152
C2×#117183292
C2×#117186482
C2×C4⋊C4×Dic132
C2×#117183272
C2×C13×#3982
C2×#252213