Finite Group Databasebeta

← #15865692

Subgroups — #15865692

Order 3328.

1106 conjugacy classes of subgroups.

The subgroup lattice has 708 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#11718494C211yesmaximal, characteristic, complemented
2C22×C8×Dic13C211yesmaximal, characteristic, complemented
3C4×#88135C211yesmaximal, characteristic
4#13115443C211yesmaximal, characteristic, complemented
5#13115441C211yesmaximal, characteristic, complemented
6#13115396C211yesmaximal, characteristic, complemented
7#13115390C211yesmaximal, characteristic, complemented
8#13115128C211yesmaximal, characteristic
9#13115126C211yesmaximal, characteristic
10#13115016C211yesmaximal, characteristic, complemented
11C4⋊C8×Dic13C211yesmaximal, characteristic, complemented
12C22⋊C8×Dic13C211yesmaximal, characteristic, complemented
13#13114593C211yesmaximal, characteristic, complemented
14#13114580C211yesmaximal, characteristic, complemented
15C13×#1850C211yesmaximal, characteristic, complemented
16C23×C8×C13C2211yescharacteristic
17C2×C4×C22⋊D13C2211yescharacteristic
18C22×C4×Dic13C2211yescharacteristic
19C23×#1055C2211yescharacteristic
20C2×#88135C411yescharacteristic
21C2×#88135C411yescharacteristic
22C2×C42×D13C2211yescharacteristic
23C2×C13×C4⋊C8C2211yescharacteristic
24C2×C13×C4⋊C8C2211yescharacteristic
25C2×C13×C22⋊C8C2211yescharacteristic
26C4×C13×C22⋊C4C2211yescharacteristic
27C2×C22⋊#1055C2211yescharacteristic
28C2×#88060C2211yescharacteristic
29C2×#88060C2211yescharacteristic
30C2×#88060C2211yescharacteristic
31C2×#88060C2211yescharacteristic
32C2×C8×Dic13—24no—
33C2×C8×Dic13C2211yescharacteristic
34C2×C8×Dic13C2211yescharacteristic
35C2×C8×Dic13C2211yescharacteristic
36C2×C8×Dic13C2211yescharacteristic
37C2×C8×Dic13C2211yescharacteristic
38C2×C8×Dic13C2211yescharacteristic
39C22⋊C4×Dic13C411yescharacteristic
40C22⋊C4×Dic13C411yescharacteristic
41C4×#6103C2211yescharacteristic
42C4×#6101C2211yescharacteristic
43C42×Dic13C2211yescharacteristic
44C2×C4⋊#1055C2211yescharacteristic
45C2×C4⋊#1055C2211yescharacteristic
46#11718494—24no—
47#11718327C411yescharacteristic
48#11718327C411yescharacteristic
49#11718310C411yescharacteristic
50#11718310C411yescharacteristic
51C13×#336C2211yescharacteristic
52C13×#336C2211yescharacteristic
53#11718142C2211yescharacteristic
54#11718142C2211yescharacteristic
55#11718142C2211yescharacteristic
56#11718142C2211yescharacteristic
57#11718142C2211yescharacteristic
58#11718142C2211yescharacteristic
59#11718116C2211yescharacteristic
60#11718116C2211yescharacteristic
61C23×C4×C13C2311yescharacteristic
62C22×C22⋊D13C2×C411yescharacteristic
63C23×Dic13C2×C411yescharacteristic
64C23×Dic13C2×C411yescharacteristic
65C22×C4×D13C2×C411yescharacteristic
66C22×C4×D13C2×C411yescharacteristic
67C22×C4×D13C2311yescharacteristic
68C22×C8×C13—22no—
69C22×C8×C13—22no—
70C22×C8×C13—22no—
71C22×C8×C13C2311yescharacteristic
72C22×C8×C13C2311yescharacteristic
73C22×C8×C13C2311yescharacteristic
74C22×C8×C13C2311yescharacteristic
75C2×C13×C22⋊C4C2×C411yescharacteristic
76C2×C13×C22⋊C4C2×C411yescharacteristic
77C2×C42×C13C2311yescharacteristic
78C2×C42×C13C2311yescharacteristic
79C2×C22⋊Dic13C2×C411yescharacteristic
80C4×C22⋊D13—22no—
81C4×C22⋊D13—22no—
82C2×#6103C2×C411yescharacteristic
83C2×#6103C2×C411yescharacteristic
84C2×#6103C2×C411yescharacteristic
85C2×#6101C2×C411yescharacteristic
86C2×#6101C2×C411yescharacteristic
87C2×#6101C2×C411yescharacteristic
88C2×C4×Dic13—22no—
89C2×C4×Dic13—22no—
90C2×C4×Dic13C2×C411yescharacteristic
91C2×C4×Dic13C2×C411yescharacteristic
92C2×C4×Dic13C2×C411yescharacteristic
93C2×C4×Dic13C2×C411yescharacteristic
94C2×C4×Dic13C2×C411yescharacteristic
95C2×C4×Dic13C2×C411yescharacteristic
96C2×C4×Dic13C2×C411yescharacteristic
97C2×C4×Dic13C2×C411yescharacteristic
98C2×C4×Dic13C2311yescharacteristic
99C2×C4×Dic13C2311yescharacteristic
100C2×C4×Dic13C2311yescharacteristic
101C22×#1055—22no—
102C22×#1055—22no—
103C22×#1055—22no—
104C22×#1055C2311yescharacteristic
105C22×#1055C2311yescharacteristic
106C22×#1055C2311yescharacteristic
107C22×#1055C2311yescharacteristic
108#88135—24no—
109#88135C818yescomplemented
110C42×D13—22no—
111C42×D13—22no—
112C13×C4⋊C8—22no—
113C13×C4⋊C8—22no—
114C13×C22⋊C8—22no—
115C13×#95C2×C411yescharacteristic
116C13×#95C2×C411yescharacteristic
117#88071C2×C411yescharacteristic
118#88071C2×C411yescharacteristic
119#88071C2×C411yescharacteristic
120#88071C2×C411yescharacteristic
121C22⋊#1055—22no—
122#88060—22no—
123#88060—22no—
124#88060—22no—
125#88060—22no—
126C8×Dic13—22no—
127C8×Dic13—22no—
128C8×Dic13—22no—
129C8×Dic13—22no—
130C8×Dic13—22no—
131C8×Dic13D414yescomplemented
132C4⋊#1055—22no—
133C4⋊#1055—22no—
134#21101—131nomaximal, Sylow
135C24×C13C22×C411yescharacteristic
136C23×D13C22×C411yescharacteristic
137C22×C4×C13—21no—
138C22×C4×C13—21no—
139C22×C4×C13—21no—
140C22×C4×C13—21no—
141C22×C4×C13C22×C411yescharacteristic
142C22×C4×C13C22×C411yescharacteristic
143C22×C4×C13C22×C411yescharacteristic
144C22×C4×C13C22×C411yescharacteristic
145C22×C4×C13C22×C411yescharacteristic
146C22×C4×C13#4112yes—
147C22×C4×C13#4112yes—
148C22×C4×C13C2411yescharacteristic
149C2×C22⋊D13—22no—
150C2×C22⋊D13—22no—
151C2×C22⋊D13C2×C814yes—
152C22×Dic13—22no—
153C22×Dic13—22no—
154C22×Dic13—22no—
155C22×Dic13—22no—
156C22×Dic13C2×C814yes—
157C22×Dic13M1614yes—
158C22×Dic13C22×C411yescharacteristic
159C22×Dic13C22×C411yescharacteristic
160C22×Dic13C22×C411yescharacteristic
161C22×Dic13C22×C411yescharacteristic
162C22×Dic13C22×C411yescharacteristic
163C22×Dic13C22×C411yescharacteristic
164C22×Dic13C22×C411yescharacteristic
165C2×C4×D13—22no—
166C2×C4×D13—22no—
167C2×C4×D13—21no—
168C2×C4×D13—21no—
169C2×C4×D13—21no—
170C2×C4×D13—21no—
171C2×C4×D13—21no—
172C2×C4×D13—21no—
173C2×C4×D13—22no—
174C2×C4×D13—22no—
175C2×C4×D13—22no—
176C2×C4×D13C2×C814yescomplemented
177C2×C8×C13—28no—
178C2×C8×C13—21no—
179C2×C8×C13—21no—
180C2×C8×C13—21no—
181C2×C8×C13—21no—
182C2×C8×C13—21no—
183C2×C8×C13—21no—
184C2×C8×C13—21no—
185C2×C8×C13—21no—
186C2×C8×C13—21no—
187C2×C8×C13—21no—
188C2×C8×C13C2×D412yes—
189C2×C8×C13#4112yes—
190C13×C22⋊C4—22no—
191C13×C22⋊C4C2×C814yes—
192C42×C13—21no—
193C42×C13—21no—
194C42×C13—21no—
195C42×C13—21no—
196C22⋊Dic13—22no—
197#6103—22no—
198#6103—22no—
199#6103C2×C814yescomplemented
200#6101—22no—
201#6101—22no—
202#6101C2×C814yescomplemented
203C4×Dic13—21no—
204C4×Dic13—21no—
205C4×Dic13—21no—
206C4×Dic13—21no—
207C4×Dic13—22no—
208C4×Dic13—22no—
209C4×Dic13—22no—
210C4×Dic13—22no—
211C4×Dic13—22no—
212C4×Dic13—22no—
213C4×Dic13—22no—
214C4×Dic13C2×C814yescomplemented
215C4×Dic13C2×D412yes—
216C4×Dic13#4112yes—
217C2×#1055—28no—
218C2×#1055—21no—
219C2×#1055—21no—
220C2×#1055—21no—
221C2×#1055—21no—
222C2×#1055—21no—
223C2×#1055—21no—
224C2×#1055—21no—
225C2×#1055—21no—
226C2×#1055—21no—
227C2×#1055—21no—
228C2×#1055C2×D412yes—
229C2×#1055#4112yes—
230C2×#431—131no—
231C22×C4×C8—131no—
232C42×D4—131no—
233#1923—131no—
234#1923—131no—
235#1916—131no—
236#1916—131no—
237#1869—131no—
238#1869—131no—
239#1850—131no—
240#1850D1311yescharacteristic, complemented
241C4×C4⋊C8—131no—
242C4×C22⋊C8—131no—
243C4×C22⋊C8—131no—
244#1744—131no—
245C23×C13—21no—
246C23×C13—21no—
247C23×C13—21no—
248C23×C13—21no—
249C23×C13#11712yes—
250C23×C13C22×C812yes—
251C23×C13C2×M1612yes—
252C23×C13C23×C411yescharacteristic
253C22×D13—21no—
254C22×D13—21no—
255C22×D13—21no—
256C22×D13—21no—
257C22×D13—21no—
258C22×D13—21no—
259C22×D13C22×C812yes—
260C2×C4×C13—21no—
261C2×C4×C13—21no—
262C2×C4×C13—21no—
263C2×C4×C13—21no—
264C2×C4×C13—21no—
265C2×C4×C13—21no—
266C2×C4×C13—22no—
267C2×C4×C13—22no—
268C2×C4×C13—22no—
269C2×C4×C13—22no—
270C2×C4×C13—21no—
271C2×C4×C13—21no—
272C2×C4×C13—21no—
273C2×C4×C13—21no—
274C2×C4×C13—21no—
275C2×C4×C13—21no—
276C2×C4×C13#11712yes—
277C2×C4×C13C22×C812yes—
278C2×C4×C13C22×C812yes—
279C2×C4×C13C22×D411yescharacteristic
280C2×C4×C13C2×#4111yescharacteristic
281C2×C4×C13C2×#4111yescharacteristic
282C2×C4×C13C2×#4111yescharacteristic
283C2×C4×C13C2×#4111yescharacteristic
284C2×C4×C13C2×#4111yescharacteristic
285C22⋊D13—28no—
286C2×Dic13—21no—
287C2×Dic13—21no—
288C2×Dic13—21no—
289C2×Dic13—21no—
290C2×Dic13—21no—
291C2×Dic13—21no—
292C2×Dic13—28no—
293C2×Dic13—28no—
294C2×Dic13—21no—
295C2×Dic13—21no—
296C2×Dic13—21no—
297C2×Dic13—21no—
298C2×Dic13—21no—
299C2×Dic13—21no—
300C2×Dic13C4×D412yes—
301C2×Dic13C4×D412yes—
302C2×Dic13C22×C812yes—
303C2×Dic13C22×C812yes—
304C2×Dic13C22×C812yes—
305C2×Dic13C2×M1612yes—
306C2×Dic13C2×M1612yes—
307C2×Dic13#13112yes—
308C2×Dic13#13112yes—
309C4×D13—28no—
310C4×D13—41no—
311C4×D13—41no—
312C4×D13—41no—
313C4×D13—41no—
314C4×D13—44no—
315C8×C13—22no—
316C8×C13—22no—
317C8×C13—41no—
318C8×C13—41no—
319#1055—22no—
320#1055—22no—
321#1055—41no—
322#1055—41no—
323C23×C8—131no—
324C23×C8C2×D1311yescharacteristic
325C2×C4×D4—131no—
326C2×C4×D4—131no—
327C2×C4×D4—131no—
328C22×C42—131no—
329C22×C42—131no—
330#431—264no—
331C2×C4⋊C8—131no—
332C2×C4⋊C8—131no—
333C2×C4⋊C8C2×D1311yescharacteristic
334C2×C4⋊C8C2×D1311yescharacteristic
335C2×C22⋊C8—131no—
336C2×C22⋊C8—131no—
337C2×C22⋊C8—131no—
338C2×C22⋊C8—131no—
339C2×C22⋊C8—131no—
340C2×C22⋊C8C2×D1311yescharacteristic
341C2×C4×C8—131no—
342C2×C4×C8—131no—
343C2×C4×C8—131no—
344C2×C4×C8—131no—
345C2×C4×C8—131no—
346C2×C4×C8—131no—
347C2×C4×C8—264no—
348C4×C4⋊C4—131no—
349C4×C4⋊C4—131no—
350C4×C4⋊C4—131no—
351C4×C22⋊C4—131no—
352C4×C22⋊C4—131no—
353C4×C22⋊C4—131no—
354C4×C22⋊C4—131no—
355C4×C22⋊C4—131no—
356C4×C22⋊C4C2×D1311yescharacteristic
357C43—131no—
358#336—131no—
359#336—131no—
360#336—131no—
361#336—131no—
362#336—131no—
363#336—131no—
364#336—131no—
365#336—131no—
366#336C2×D1311yescharacteristic
367#336C2×D1311yescharacteristic
368C22×C13—22no—
369C22×C13—22no—
370C22×C13—22no—
371C22×C13—22no—
372C22×C13—22no—
373C22×C13—22no—
374C22×C13#43114yescomplemented
375C22×C13C2×#11711yescharacteristic
376C22×C13C2×C4×D411yescharacteristic
377C22×C13C4×#4111yescharacteristic
378C22×C13C23×C811yescharacteristic
379C22×C13C22×M1611yescharacteristic
380C22×C13C2×#13111yescharacteristic
381C22×C13C2×#13111yescharacteristic
382C2×D13—22no—
383C2×D13—22no—
384C2×D13—22no—
385C2×D13—41no—
386C2×D13—41no—
387C2×D13—41no—
388C2×D13—41no—
389C4×C13—22no—
390C4×C13—22no—
391C4×C13—22no—
392C4×C13—41no—
393C4×C13—41no—
394C4×C13#52511yescharacteristic
395C4×C13#52511yescharacteristic
396C4×C13#52911yescharacteristic
397C4×C13#52911yescharacteristic
398Dic13—22no—
399Dic13—22no—
400Dic13—22no—
401Dic13—41no—
402Dic13—41no—
403Dic13C8×D414yes—
404Dic13#43514yes—
405C22×D4—131no—
406C23×C4—131no—
407C23×C4—131no—
408C23×C4—131no—
409C23×C4—131no—
410C23×C4—131no—
411C23×C4C22×D1311yescharacteristic
412C22×C8—22no—
413C22×C8—22no—
414C22×C8—22no—
415C22×C8—131no—
416C22×C8—131no—
417C22×C8—131no—
418C22×C8—131no—
419C22×C8—262no—
420C22×C8—262no—
421C22×C8—262no—
422C22×C8C22×D1311yescharacteristic
423C22×C8C22×D1311yescharacteristic
424C22×C8C22×D1311yescharacteristic
425C22×C8C22×D1311yescharacteristic
426C4×D4—138no—
427C4×D4—264no—
428C4×D4—262no—
429C4×D4—262no—
430C2×C4⋊C4—131no—
431C2×C4⋊C4—131no—
432C2×C4⋊C4—131no—
433C2×C22⋊C4—131no—
434C2×C22⋊C4—131no—
435C2×C22⋊C4—131no—
436C2×C22⋊C4—131no—
437C2×C22⋊C4C4×D1311yescharacteristic
438C2×C22⋊C4C4×D1311yescharacteristic
439C2×C42—131no—
440C2×C42—131no—
441C2×C42—131no—
442C2×C42—131no—
443C2×C42—131no—
444C2×C42—131no—
445C2×C42—131no—
446C2×C42—131no—
447C2×C42—131no—
448C2×C42—131no—
449C2×C42—131no—
450C2×C42—262no—
451C2×C42—262no—
452C2×C42—262no—
453C2×C42—262no—
454C2×C42C22×D1311yescharacteristic
455C2×C42C22×D1311yescharacteristic
456C4⋊C8—22no—
457C4⋊C8—22no—
458C4⋊C8—262no—
459C4⋊C8—262no—
460C22⋊C8—22no—
461C22⋊C8—262no—
462C22⋊C8—262no—
463C22⋊C8—262no—
464C22⋊C8—262no—
465C22⋊C8—262no—
466C4×C8—134no—
467C4×C8—262no—
468C4×C8—262no—
469C4×C8—262no—
470C4×C8—262no—
471C4×C8—262no—
472#95—131no—
473#95—131no—
474#95—131no—
475#95—131no—
476#95C4×D1311yescharacteristic
477#95C4×D1311yescharacteristic
478C2×C13—24no—
479C2×C13#229011yescharacteristic
480C2×C13C2×#43111yescharacteristic
481C2×C13#292211yescharacteristic
482C2×C13C2×C8×D411yescharacteristic
483C2×C13C2×#43511yescharacteristic
484C2×C13C8×#4111yescharacteristic
485C2×C13#296511yescharacteristic
486D13—42no—
487C24—131no—
488C24C2×C4×D1311yescharacteristic
489C2×D4—134no—
490C2×D4—262no—
491C2×D4—262no—
492C22×C4—21no—
493C22×C4—21no—
494C22×C4—21no—
495C22×C4—21no—
496C22×C4—131no—
497C22×C4—131no—
498C22×C4—134no—
499C22×C4—134no—
500C22×C4—131no—
501C22×C4—131no—
502C22×C4—131no—
503C22×C4—134no—
504C22×C4—131no—
505C22×C4—131no—
506C22×C4—262no—
507C22×C4—262no—
508C22×C4—262no—
509C22×C4—262no—
510C22×C4—262no—
511C22×C4—262no—
512C22×C4—262no—
513C22×C4—262no—
514C22×C4—262no—
515C22×C4—261no—
516C22×C4—261no—
517C22×C4—261no—
518C22×C4—261no—
519C22×C4—261no—
520C22×C4—261no—
521C22×C4C2×C4×D1311yescharacteristic
522C22×C4C2×C4×D1311yescharacteristic
523C22×C4C2×C4×D1311yescharacteristic
524C22×C4C2×C4×D1311yescharacteristic
525C22×C4C2×C4×D1311yescharacteristic
526C22×C4#612912yes—
527C22×C4#613112yes—
528C22×C4C23×D1311yescharacteristic
529C2×C8—28no—
530C2×C8—21no—
531C2×C8—21no—
532C2×C8—21no—
533C2×C8—21no—
534C2×C8—21no—
535C2×C8—21no—
536C2×C8—21no—
537C2×C8—21no—
538C2×C8—21no—
539C2×C8—21no—
540C2×C8—132no—
541C2×C8—132no—
542C2×C8—268no—
543C2×C8—261no—
544C2×C8—261no—
545C2×C8—261no—
546C2×C8—261no—
547C2×C8—261no—
548C2×C8—261no—
549C2×C8—261no—
550C2×C8—261no—
551C2×C8—261no—
552C2×C8—261no—
553C2×C8D4×D1312yes—
554C2×C8#612912yes—
555C4⋊C4—134no—
556C4⋊C4—262no—
557C4⋊C4—262no—
558C22⋊C4—22no—
559C22⋊C4—134no—
560C22⋊C4—262no—
561C22⋊C4—262no—
562C22⋊C4—262no—
563C22⋊C4C8×D1314yes—
564C42—21no—
565C42—21no—
566C42—21no—
567C42—21no—
568C42—134no—
569C42—132no—
570C42—132no—
571C42—262no—
572C42—262no—
573C42—262no—
574C42—262no—
575C42—262no—
576C42—262no—
577C42—262no—
578C42—261no—
579C42—261no—
580C42—261no—
581C42—261no—
582C13#2110111yescharacteristic, complemented, Sylow
583C23—21no—
584C23—21no—
585C23—21no—
586C23—21no—
587C23—132no—
588C23—261no—
589C23—261no—
590C23—261no—
591C23—261no—
592C23—261no—
593C23—261no—
594C23#8814612yes—
595C23C2×C8×D1312yes—
596C23M16×D1312yes—
597C23C22×C4×D1311yescharacteristic
598D4—268no—
599C2×C4—21no—
600C2×C4—21no—
601C2×C4—21no—
602C2×C4—21no—
603C2×C4—21no—
604C2×C4—21no—
605C2×C4—22no—
606C2×C4—22no—
607C2×C4—22no—
608C2×C4—22no—
609C2×C4—21no—
610C2×C4—21no—
611C2×C4—21no—
612C2×C4—21no—
613C2×C4—21no—
614C2×C4—21no—
615C2×C4—132no—
616C2×C4—132no—
617C2×C4—132no—
618C2×C4—132no—
619C2×C4—132no—
620C2×C4—132no—
621C2×C4—132no—
622C2×C4—132no—
623C2×C4—132no—
624C2×C4—268no—
625C2×C4—268no—
626C2×C4—268no—
627C2×C4—261no—
628C2×C4—261no—
629C2×C4—261no—
630C2×C4—261no—
631C2×C4—261no—
632C2×C4—261no—
633C2×C4—261no—
634C2×C4—261no—
635C2×C4—261no—
636C2×C4—261no—
637C2×C4—261no—
638C2×C4—261no—
639C2×C4—524no—
640C2×C4—521no—
641C2×C4—521no—
642C2×C4—521no—
643C2×C4—521no—
644C2×C4#8814612yes—
645C2×C4C2×C8×D1312yes—
646C2×C4C2×C8×D1312yes—
647C2×C4C2×D4×D1311yescharacteristic
648C2×C4C2×#612911yescharacteristic
649C2×C4C2×#612911yescharacteristic
650C2×C4C2×#613111yescharacteristic
651C2×C4#41×D1311yescharacteristic
652C2×C4#41×D1311yescharacteristic
653C8—22no—
654C8—22no—
655C8—41no—
656C8—41no—
657C8—262no—
658C8—262no—
659C8—521no—
660C8—521no—
661C22—22no—
662C22—22no—
663C22—22no—
664C22—22no—
665C22—22no—
666C22—22no—
667C22—262no—
668C22—262no—
669C22—262no—
670C22—521no—
671C22—521no—
672C22—521no—
673C22—521no—
674C22#1171849414yescomplemented
675C22C2×#8814611yescharacteristic
676C22C4×#612911yescharacteristic
677C22C4×D4×D1311yescharacteristic
678C22C22×C8×D1311yescharacteristic
679C22C2×M16×D1311yescharacteristic
680C22D13×#13111yescharacteristic
681C22D13×#13111yescharacteristic
682C4—22no—
683C4—22no—
684C4—22no—
685C4—41no—
686C4—41no—
687C4—134no—
688C4—134no—
689C4—262no—
690C4—262no—
691C4—262no—
692C4—521no—
693C4—521no—
694C4#1171929111yescharacteristic
695C4#1171932911yescharacteristic
696C4#1171933211yescharacteristic
697C4#1171935411yescharacteristic
698C2—24no—
699C2—522no—
700C2#1311727211yescharacteristic
701C2C2×#1171849411yescharacteristic
702C2#1312347911yescharacteristic
703C2C8×D4×D1311yescharacteristic
704C2D13×#43511yescharacteristic
705C2C8×#612911yescharacteristic
706C2#1312379611yescharacteristic
subgroupG/H
center, FrattiniC22×C4C23×D13
commutatorC22×C13C23×C8
FittingC13×#1850C2
socleC23×C13C23×C4
prime radicalC22×C22⋊D13C2×C4
cosocleC22×C4×C13C24
hypercenter#1850D13
hypocenterC13#21101
LCSG ▷ C22×C13 ▷ C13
UCSC1 ◁ C22×C4 ◁ #1850

Complements

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

NH ≅ G/Ntype
1. C2×#11718494C2semidirect
2. C22×C8×Dic13C2semidirect
4. #13115443C2semidirect
5. #13115441C2semidirect
6. #13115396C2semidirect
7. #13115390C2semidirect
10. #13115016C2semidirect
11. C4⋊C8×Dic13C2semidirect
12. C22⋊C8×Dic13C2semidirect
13. #13114593C2semidirect
14. #13114580C2semidirect
15. C13×#1850C2semidirect
109. #88135C8semidirect
131. C8×Dic13D4semidirect
176. C2×C4×D13C2×C8semidirect
199. #6103C2×C8semidirect
202. #6101C2×C8semidirect
214. C4×Dic13C2×C8semidirect
240. #1850D13semidirect
374. C22×C13#431semidirect
582. C13#21101semidirect
674. C22#11718494semidirect

Maximal subgroups

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

subgroupindex
C2×#117184942
C22×C8×Dic132
C4×#881352
#131154432
#131154412
#131153962
#131153902
#131151282
#131151262
#131150162
C4⋊C8×Dic132
C22⋊C8×Dic132
#131145932
#131145802
C13×#18502
#2110113