Finite Group Databasebeta

← #15879462

Subgroups — #15879462

Order 3328.

1036 conjugacy classes of subgroups.

The subgroup lattice has 704 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#11719222C211yesmaximal, characteristic
2C2×#11718340C211yesmaximal, characteristic, complemented
3C2×#11718362C211yesmaximal, characteristic, complemented
4#13115776C211yesmaximal, characteristic, complemented
5#13115774C211yesmaximal, characteristic, complemented
6#13115774C211yesmaximal, characteristic, complemented
7#13115774C211yesmaximal, characteristic, complemented
8#13115772C211yesmaximal, characteristic, complemented
9#13115770C211yesmaximal, characteristic, complemented
10#13114820C211yesmaximal, characteristic
11#13114818C211yesmaximal, characteristic
12#13114814C211yesmaximal, characteristic
13#13114604C211yesmaximal, characteristic
14#13114600C211yesmaximal, characteristic
15C13×#1750C211yesmaximal, characteristic
16C2×C13×#117C2211yescharacteristic
17C2×#88180C2211yescharacteristic
18C22×C4×Dic13C2211yescharacteristic
19#11719222—24no—
20#11719222—24no—
21C2×#88144C411yescharacteristic
22C2×#88144C411yescharacteristic
23C2×#88142C411yescharacteristic
24C2×#88142C411yescharacteristic
25C2×#88132C411yescharacteristic
26C2×#88132C411yescharacteristic
27C2×#88132C411yescharacteristic
28C2×#88132C411yescharacteristic
29C2×C4×Dic26C2211yescharacteristic
30C2×C4×Dic26C2211yescharacteristic
31C2×C4×Dic26C2211yescharacteristic
32C2×C4×Dic26C2211yescharacteristic
33C2×C13×C22⋊C8C2211yescharacteristic
34C2×C13×C22⋊C8C2211yescharacteristic
35C2×C13×#97C2211yescharacteristic
36C2×C4×C8×C13C2211yescharacteristic
37C2×C22⋊#1055C2211yescharacteristic
38C2×C22⋊#1055C2211yescharacteristic
39C2×#88055C2211yescharacteristic
40C2×#88055C2211yescharacteristic
41C2×#88055C2211yescharacteristic
42C2×#88054C2211yescharacteristic
43C2×#88054C2211yescharacteristic
44C2×#88054C2211yescharacteristic
45C2×#88054C2211yescharacteristic
46C2×C8×Dic13C2211yescharacteristic
47C2×C4⋊#1055C2211yescharacteristic
48C2×C4⋊#1055C2211yescharacteristic
49#11718362—24no—
50#11718340—24no—
51C13×#336C2211yescharacteristic
52C13×#336C2211yescharacteristic
53#11718142C2211yescharacteristic
54#11718142C2211yescharacteristic
55#11718142C2211yescharacteristic
56#11718142C2211yescharacteristic
57#11718142C2211yescharacteristic
58#11718142C2211yescharacteristic
59#11718142C2211yescharacteristic
60#11718142C2211yescharacteristic
61#11718116C2211yescharacteristic
62#11718116C2211yescharacteristic
63C23×C4×C13C2311yescharacteristic
64C23×Dic13C2×C411yescharacteristic
65C23×Dic13C2×C411yescharacteristic
66C22×Dic26C2×C411yescharacteristic
67C22×Dic26C2×C411yescharacteristic
68C22×Dic26C2×C411yescharacteristic
69C22×Dic26C2×C411yescharacteristic
70C22×C8×C13C2311yescharacteristic
71C22×C8×C13C2311yescharacteristic
72C22×C8×C13C2311yescharacteristic
73C22×C8×C13C2311yescharacteristic
74C13×#117—22no—
75C13×#117—22no—
76C2×C13×C4⋊C4C2×C411yescharacteristic
77C2×C13×C4⋊C4C2×C411yescharacteristic
78C2×C13×C22⋊C4C2×C411yescharacteristic
79C2×C13×C22⋊C4C2×C411yescharacteristic
80C2×C42×C13C2311yescharacteristic
81C2×C42×C13C2311yescharacteristic
82C2×C22⋊Dic13C2×C411yescharacteristic
83C2×C22⋊Dic13C2×C411yescharacteristic
84#88180—22no—
85#88180—22no—
86C2×C4⋊Dic13C2×C411yescharacteristic
87C2×C4⋊Dic13C2×C411yescharacteristic
88C2×C4⋊Dic13C2×C411yescharacteristic
89C2×C4⋊Dic13C2×C411yescharacteristic
90C2×C4⋊Dic13C2×C411yescharacteristic
91C2×C4⋊Dic13C2×C411yescharacteristic
92C2×#6101C2×C411yescharacteristic
93C2×#6101C2×C411yescharacteristic
94C2×#6101C2×C411yescharacteristic
95C2×#6101C2×C411yescharacteristic
96C2×#6101C2×C411yescharacteristic
97C2×#6101C2×C411yescharacteristic
98C2×#6101C2×C411yescharacteristic
99C2×#6101C2×C411yescharacteristic
100C2×C4×Dic13—22no—
101C2×C4×Dic13—22no—
102C2×C4×Dic13C2×C411yescharacteristic
103C2×C4×Dic13C2×C411yescharacteristic
104C2×C4×Dic13C2311yescharacteristic
105C2×C4×Dic13C2311yescharacteristic
106C2×C4×Dic13C2311yescharacteristic
107C2×C4×Dic13C2311yescharacteristic
108C22×#1055C2311yescharacteristic
109C22×#1055C2311yescharacteristic
110C22×#1055C2311yescharacteristic
111C22×#1055C2311yescharacteristic
112#88144—24no—
113#88144—24no—
114#88142—24no—
115#88142—24no—
116#88132—24no—
117#88132—24no—
118#88132—24no—
119#88132—24no—
120C4×Dic26—22no—
121C4×Dic26—22no—
122C4×Dic26—22no—
123C4×Dic26—22no—
124C4×Dic26—22no—
125C4×Dic26—22no—
126C4×Dic26D414yes—
127C4×Dic26D414yes—
128C13×C22⋊C8—22no—
129C13×C22⋊C8Q814yescomplemented
130C13×#97—22no—
131C4×C8×C13—22no—
132C22⋊#1055—22no—
133C22⋊#1055—22no—
134#88055—22no—
135#88055—22no—
136#88055—22no—
137#88054—22no—
138#88054—22no—
139#88054—22no—
140#88054—22no—
141C8×Dic13—22no—
142C4⋊#1055—22no—
143C4⋊#1055—22no—
144#22511—131nomaximal, Sylow
145C24×C13C22×C411yescharacteristic
146C22×C4×C13—21no—
147C22×C4×C13—21no—
148C22×C4×C13—21no—
149C22×C4×C13—21no—
150C22×C4×C13C22×C411yescharacteristic
151C22×C4×C13C22×C411yescharacteristic
152C22×C4×C13C22×C411yescharacteristic
153C22×C4×C13C22×C411yescharacteristic
154C22×C4×C13C22×C411yescharacteristic
155C22×C4×C13C2×Q812yes—
156C22×C4×C13#4112yes—
157C22×C4×C13C2411yescharacteristic
158C22×Dic13—22no—
159C22×Dic13—22no—
160C22×Dic13—22no—
161C22×Dic13—41no—
162C22×Dic13—41no—
163C22×Dic13—41no—
164C22×Dic13C22×C411yescharacteristic
165C22×Dic13C22×C411yescharacteristic
166C22×Dic13C22×C411yescharacteristic
167C22×Dic13C22×C411yescharacteristic
168C22×Dic13C22×C411yescharacteristic
169C22×Dic13C22×C411yescharacteristic
170C22×Dic13C22×C411yescharacteristic
171C22×Dic13C22×C411yescharacteristic
172C2×Dic26—22no—
173C2×Dic26—22no—
174C2×Dic26—22no—
175C2×Dic26—22no—
176C2×Dic26—22no—
177C2×Dic26—41no—
178C2×Dic26—41no—
179C2×Dic26—41no—
180C2×Dic26—41no—
181C2×Dic26—41no—
182C2×Dic26—41no—
183C2×Dic26C22⋊C414yes—
184C2×C8×C13—21no—
185C2×C8×C13—21no—
186C2×C8×C13—21no—
187C2×C8×C13—21no—
188C2×C8×C13—21no—
189C2×C8×C13—21no—
190C2×C8×C13—21no—
191C2×C8×C13—21no—
192C2×C8×C13—21no—
193C2×C8×C13—21no—
194C2×C8×C13C2×Q812yes—
195C2×C8×C13C2×Q812yes—
196C13×C4⋊C4—22no—
197C13×C4⋊C4—22no—
198C13×C22⋊C4—22no—
199C13×C22⋊C4—22no—
200C42×C13—21no—
201C42×C13—21no—
202C42×C13C2×D412yes—
203C42×C13C2×D412yes—
204C22⋊Dic13—22no—
205C22⋊Dic13—22no—
206C4⋊Dic13—22no—
207C4⋊Dic13—22no—
208C4⋊Dic13—22no—
209C4⋊Dic13—22no—
210C4⋊Dic13—22no—
211C4⋊Dic13C22⋊C414yes—
212#6101—22no—
213#6101—22no—
214#6101—22no—
215#6101—22no—
216#6101—22no—
217#6101—22no—
218#6101C22⋊C414yes—
219#6101C22⋊C414yes—
220C4×Dic13—21no—
221C4×Dic13—21no—
222C4×Dic13—21no—
223C4×Dic13—21no—
224C4×Dic13—22no—
225C4×Dic13—22no—
226C4×Dic13C2×D412yes—
227C4×Dic13C2×D412yes—
228C4×Dic13C2×D412yes—
229C4×Dic13C2×D412yes—
230C2×#1055—21no—
231C2×#1055—21no—
232C2×#1055—21no—
233C2×#1055—21no—
234C2×#1055—21no—
235C2×#1055—21no—
236C2×#1055—21no—
237C2×#1055—21no—
238C2×#1055—21no—
239C2×#1055—21no—
240C2×#1055—21no—
241C2×#1055—21no—
242C2×#533—131no—
243C2×#446—131no—
244C2×#446—131no—
245#1985—131no—
246#1985—131no—
247#1985—131no—
248#1985—131no—
249#1984—131no—
250#1984—131no—
251#1798—131no—
252#1798—131no—
253#1797—131no—
254#1750—131no—
255#1750D1311yescharacteristic
256#1749—131no—
257C23×C13—21no—
258C23×C13—21no—
259C23×C13—21no—
260C23×C13—21no—
261C23×C13—21no—
262C23×C13—21no—
263C23×C13C4×Q812yes—
264C23×C13C23×C411yescharacteristic
265C2×C4×C13—21no—
266C2×C4×C13—21no—
267C2×C4×C13—21no—
268C2×C4×C13—21no—
269C2×C4×C13—21no—
270C2×C4×C13—21no—
271C2×C4×C13—22no—
272C2×C4×C13—22no—
273C2×C4×C13—22no—
274C2×C4×C13—22no—
275C2×C4×C13—21no—
276C2×C4×C13—21no—
277C2×C4×C13—21no—
278C2×C4×C13—21no—
279C2×C4×C13—21no—
280C2×C4×C13—21no—
281C2×C4×C13C2×C22⋊C412yes—
282C2×C4×C13C2×C22⋊C412yes—
283C2×C4×C13C4×Q812yes—
284C2×C4×C13C22×D411yescharacteristic
285C2×C4×C13C22×D411yescharacteristic
286C2×C4×C13C22×Q811yescharacteristic
287C2×C4×C13C2×#4111yescharacteristic
288C2×C4×C132−1+411yescharacteristic
289C2×C4×C132−1+411yescharacteristic
290C2×Dic13—21no—
291C2×Dic13—21no—
292C2×Dic13—21no—
293C2×Dic13—21no—
294C2×Dic13—21no—
295C2×Dic13—21no—
296C2×Dic13—21no—
297C2×Dic13—21no—
298C2×Dic13—21no—
299C2×Dic13—21no—
300C2×Dic13—21no—
301C2×Dic13—21no—
302C2×Dic13—21no—
303C2×Dic13—21no—
304C2×Dic13—21no—
305C2×Dic13—21no—
306C2×Dic13—21no—
307C2×Dic13—21no—
308C2×Dic13—21no—
309C2×Dic13—44no—
310C2×Dic13—44no—
311C2×Dic13C2×C22⋊C412yes—
312C2×Dic13C2×C22⋊C412yes—
313C2×Dic13C2×C22⋊C412yes—
314C2×Dic13C2×C22⋊C412yes—
315C2×Dic13#13112yes—
316Dic26—44no—
317Dic26—44no—
318Dic26—44no—
319Dic26—44no—
320C8×C13—22no—
321C8×C13—22no—
322C8×C13—41no—
323C8×C13—41no—
324#1055—41no—
325#1055—41no—
326#1055—41no—
327#1055—41no—
328#533—264no—
329#533—264no—
330C2×C4⋊Q8—131no—
331C2×C4⋊Q8—131no—
332C2×#125—131no—
333C2×#125—131no—
334C2×C22⋊Q8—131no—
335C2×C22⋊Q8—131no—
336C2×C22⋊Q8—131no—
337C2×C22⋊Q8—131no—
338C2×C4×Q8—131no—
339C2×C4×Q8—131no—
340C2×C4×Q8—131no—
341C2×C4×Q8—131no—
342C2×#117—131no—
343C2×#117C2×D1311yescharacteristic
344C22×C42—131no—
345#446—264no—
346#446—264no—
347C2×C4⋊C8—131no—
348C2×C4⋊C8—131no—
349C2×C4⋊C8—131no—
350C2×C4⋊C8—131no—
351C2×C4⋊C8—131no—
352C2×C4⋊C8—131no—
353C2×C22⋊C8—131no—
354C2×C22⋊C8—131no—
355C2×C22⋊C8C2×D1311yescharacteristic
356C2×C22⋊C8C2×D1311yescharacteristic
357C2×#97—131no—
358C2×#97—131no—
359C2×#97—131no—
360C2×#97C2×D1311yescharacteristic
361C2×C4×C8—131no—
362C2×C4×C8C2×D1311yescharacteristic
363#336—131no—
364#336—131no—
365#336—131no—
366#336—131no—
367#336—131no—
368#336—131no—
369#336—131no—
370#336—131no—
371#336—131no—
372#336—131no—
373#336C2×D1311yescharacteristic
374#336C2×D1311yescharacteristic
375C22×C13—22no—
376C22×C13—22no—
377C22×C13—22no—
378C22×C13—41no—
379C22×C13—41no—
380C22×C13—41no—
381C22×C13—41no—
382C22×C13C22×C22⋊C411yescharacteristic
383C22×C13C2×C4×Q811yescharacteristic
384C22×C13#51911yescharacteristic
385C22×C13C2×#13111yescharacteristic
386C22×C13#56811yescharacteristic
387C22×C13#56811yescharacteristic
388C22×C13#56811yescharacteristic
389C4×C13—22no—
390C4×C13—22no—
391C4×C13—22no—
392C4×C13—41no—
393C4×C13—41no—
394C4×C13#54811yescharacteristic
395C4×C13#54811yescharacteristic
396C4×C13D4×Q811yescharacteristic
397C4×C13D4×Q811yescharacteristic
398Dic13—22no—
399Dic13—22no—
400Dic13—22no—
401Dic13—22no—
402Dic13—22no—
403Dic13—41no—
404Dic13—41no—
405Dic13—41no—
406C22×Q8—131no—
407C22×Q8—131no—
408C22×Q8—131no—
409C22×Q8—131no—
410C23×C4—131no—
411C23×C4—131no—
412C23×C4C22×D1311yescharacteristic
413C22×C8—131no—
414C22×C8—131no—
415C22×C8—131no—
416C22×C8—131no—
417C22×C8C22×D1311yescharacteristic
418C22×C8C22×D1311yescharacteristic
419C22×C8C22×D1311yescharacteristic
420C22×C8C22×D1311yescharacteristic
421C4⋊Q8—264no—
422C4⋊Q8—264no—
423#125—264no—
424#125—264no—
425C22⋊Q8—264no—
426C22⋊Q8—264no—
427C22⋊Q8—264no—
428C22⋊Q8—264no—
429C4×Q8—134no—
430C4×Q8—134no—
431C4×Q8—262no—
432C4×Q8—262no—
433C4×Q8—262no—
434C4×Q8—262no—
435C4×Q8—262no—
436C4×Q8—262no—
437#117—22no—
438#117—22no—
439#117—262no—
440#117—262no—
441C2×C4⋊C4—131no—
442C2×C4⋊C4—131no—
443C2×C4⋊C4—131no—
444C2×C4⋊C4—131no—
445C2×C4⋊C4—131no—
446C2×C4⋊C4—131no—
447C2×C4⋊C4—131no—
448C2×C4⋊C4—131no—
449C2×C4⋊C4—131no—
450C2×C4⋊C4—131no—
451C2×C4⋊C4—131no—
452C2×C4⋊C4—131no—
453C2×C4⋊C4—131no—
454C2×C4⋊C4—131no—
455C2×C4⋊C4C4×D1311yescharacteristic
456C2×C4⋊C4C4×D1311yescharacteristic
457C2×C22⋊C4—131no—
458C2×C22⋊C4—131no—
459C2×C22⋊C4C4×D1311yescharacteristic
460C2×C22⋊C4C4×D1311yescharacteristic
461C2×C42—131no—
462C2×C42—131no—
463C2×C42—131no—
464C2×C42—131no—
465C2×C42—131no—
466C2×C42—131no—
467C2×C42—262no—
468C2×C42—262no—
469C2×C42C22×D1311yescharacteristic
470C2×C42C22×D1311yescharacteristic
471C4⋊C8—262no—
472C4⋊C8—262no—
473C4⋊C8—262no—
474C4⋊C8—262no—
475C4⋊C8—262no—
476C4⋊C8—262no—
477C22⋊C8—22no—
478C22⋊C8—262no—
479C22⋊C8—262no—
480C22⋊C8Dic2614yescomplemented
481#97—22no—
482#97—262no—
483#97—262no—
484#97—262no—
485C4×C8—22no—
486C4×C8—262no—
487C2×C13—42no—
488C2×C13Q8×C22⋊C411yescharacteristic
489C2×C13#287911yescharacteristic
490C2×C13#288011yescharacteristic
491C2×C13#296111yescharacteristic
492C2×C13#296211yescharacteristic
493C2×C13#298511yescharacteristic
494C2×C13#298711yescharacteristic
495C24C2×C4×D1311yescharacteristic
496C2×Q8—134no—
497C2×Q8—262no—
498C2×Q8—262no—
499C2×Q8—262no—
500C2×Q8—262no—
501C2×Q8—262no—
502C2×Q8—521no—
503C2×Q8—521no—
504C2×Q8—521no—
505C2×Q8—521no—
506C2×Q8—521no—
507C2×Q8—521no—
508C22×C4—21no—
509C22×C4—21no—
510C22×C4—21no—
511C22×C4—21no—
512C22×C4—131no—
513C22×C4—131no—
514C22×C4—131no—
515C22×C4—131no—
516C22×C4—131no—
517C22×C4—131no—
518C22×C4—131no—
519C22×C4—131no—
520C22×C4—262no—
521C22×C4—262no—
522C22×C4—262no—
523C22×C4—521no—
524C22×C4—521no—
525C22×C4—521no—
526C22×C4C2×Dic2612yes—
527C22×C4C2×C4×D1311yescharacteristic
528C22×C4C2×C4×D1311yescharacteristic
529C22×C4C2×C4×D1311yescharacteristic
530C22×C4C2×C4×D1311yescharacteristic
531C22×C4C2×C4×D1311yescharacteristic
532C22×C4#612712yes—
533C22×C4C23×D1311yescharacteristic
534C2×C8—21no—
535C2×C8—21no—
536C2×C8—21no—
537C2×C8—21no—
538C2×C8—21no—
539C2×C8—21no—
540C2×C8—21no—
541C2×C8—21no—
542C2×C8—21no—
543C2×C8—21no—
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×C8—261no—
554C2×C8—261no—
555C2×C8—261no—
556C2×C8C2×Dic2612yes—
557C2×C8C2×Dic2612yes—
558C4⋊C4—22no—
559C4⋊C4—22no—
560C4⋊C4—134no—
561C4⋊C4—134no—
562C4⋊C4—134no—
563C4⋊C4—262no—
564C4⋊C4—262no—
565C4⋊C4—262no—
566C4⋊C4—262no—
567C4⋊C4—262no—
568C4⋊C4—262no—
569C4⋊C4—262no—
570C4⋊C4—262no—
571C4⋊C4—262no—
572C4⋊C4—262no—
573C4⋊C4—262no—
574C22⋊C4—22no—
575C22⋊C4—22no—
576C22⋊C4—262no—
577C22⋊C4—262no—
578C42—21no—
579C42—21no—
580C42—132no—
581C42—132no—
582C42—132no—
583C42—132no—
584C42—262no—
585C42—262no—
586C42—261no—
587C42—261no—
588C42—261no—
589C42—261no—
590C42D4×D1312yes—
591C42D4×D1312yes—
592C13#2251111yescharacteristic, complemented, Sylow
593C23—21no—
594C23—21no—
595C23—21no—
596C23—21no—
597C23—21no—
598C23—21no—
599C23C4×Dic2612yes—
600C23C22×C4×D1311yescharacteristic
601Q8—524no—
602Q8—524no—
603Q8—524no—
604Q8—524no—
605C2×C4—21no—
606C2×C4—21no—
607C2×C4—21no—
608C2×C4—21no—
609C2×C4—21no—
610C2×C4—21no—
611C2×C4—22no—
612C2×C4—22no—
613C2×C4—22no—
614C2×C4—22no—
615C2×C4—21no—
616C2×C4—21no—
617C2×C4—21no—
618C2×C4—21no—
619C2×C4—21no—
620C2×C4—21no—
621C2×C4—132no—
622C2×C4—132no—
623C2×C4—132no—
624C2×C4—132no—
625C2×C4—132no—
626C2×C4—261no—
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—261no—
640C2×C4—261no—
641C2×C4—261no—
642C2×C4—261no—
643C2×C4—261no—
644C2×C4—261no—
645C2×C4—524no—
646C2×C4—524no—
647C2×C4C4×Dic2612yes—
648C2×C4C22⋊C4×D1312yes—
649C2×C4C22⋊C4×D1312yes—
650C2×C4C22×Dic2611yescharacteristic
651C2×C4C2×#612711yescharacteristic
652C2×C4C2×D4×D1311yescharacteristic
653C2×C4C2×D4×D1311yescharacteristic
654C2×C4#8825711yescharacteristic
655C2×C4#8825711yescharacteristic
656C8—22no—
657C8—22no—
658C8—41no—
659C8—41no—
660C8—521no—
661C8—521no—
662C8—521no—
663C8—521no—
664C22—22no—
665C22—22no—
666C22—22no—
667C22—41no—
668C22—41no—
669C22—41no—
670C22—41no—
671C22C2×C4×Dic2611yescharacteristic
672C22C2×C22⋊C4×D1311yescharacteristic
673C22#1171922111yescharacteristic
674C22D13×#13111yescharacteristic
675C22#1171945511yescharacteristic
676C22#1171945511yescharacteristic
677C22#1171945511yescharacteristic
678C4—22no—
679C4—22no—
680C4—22no—
681C4—41no—
682C4—41no—
683C4—262no—
684C4—262no—
685C4—262no—
686C4—262no—
687C4—262no—
688C4—521no—
689C4—521no—
690C4—521no—
691C4D4×Dic2611yescharacteristic
692C4D4×Dic2611yescharacteristic
693C4#1171925711yescharacteristic
694C4#1171925711yescharacteristic
695C2—42no—
696C2C22⋊C4×Dic2611yescharacteristic
697C2#1312327811yescharacteristic
698C2#1312328411yescharacteristic
699C2#1312377411yescharacteristic
700C2#1312378011yescharacteristic
701C2#1312392811yescharacteristic
702C2#1312394011yescharacteristic
subgroupG/H
center, FrattiniC22×C4C23×D13
commutator, socleC23×C13C23×C4
FittingC13×#1750C2
prime radicalC24×C13C22×C4
cosocleC22×C4×C13C24
hypercenter#1750D13
hypocenterC13#22511
LCSG ▷ C23×C13 ▷ C13
UCSC1 ◁ C22×C4 ◁ #1750

Complements

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

NH ≅ G/Ntype
2. C2×#11718340C2semidirect
3. C2×#11718362C2semidirect
4. #13115776C2semidirect
5. #13115774C2semidirect
6. #13115774C2semidirect
7. #13115774C2semidirect
8. #13115772C2semidirect
9. #13115770C2semidirect
129. C13×C22⋊C8Q8semidirect
480. C22⋊C8Dic26semidirect
592. C13#22511semidirect

Maximal subgroups

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

subgroupindex
C2×#117192222
C2×#117183402
C2×#117183622
#131157762
#131157742
#131157722
#131157702
#131148202
#131148182
#131148142
#131146042
#131146002
C13×#17502
#2251113