Finite Group Databasebeta

← #15905148

Subgroups — #15905148

Order 3328.

1010 conjugacy classes of subgroups.

The subgroup lattice has 730 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#11718712C211yesmaximal, characteristic, complemented
2C2×#11718712C211yesmaximal, characteristic, complemented
3C2×D4×#1055C211yesmaximal, characteristic
4C22×#88047C211yesmaximal, characteristic, complemented
5#13118287C211yesmaximal, characteristic
6#13116231C211yesmaximal, characteristic, complemented
7#13116228C211yesmaximal, characteristic, complemented
8#13116039C211yesmaximal, characteristic, complemented
9#13116036C211yesmaximal, characteristic, complemented
10#13115696C211yesmaximal, characteristic, complemented
11#13115566C211yesmaximal, characteristic, complemented
12#13115144C211yesmaximal, characteristic, complemented
13#13115143C211yesmaximal, characteristic, complemented
14#13114863C211yesmaximal, characteristic, complemented
15C13×#2417C211yesmaximal, characteristic
16C2×C13×C22⋊Q8C2211yescharacteristic
17C2×C13×C22⋊Q8C2211yescharacteristic
18C2×C4×D4×C13C2211yescharacteristic
19C22×C13×C4⋊C4C2211yescharacteristic
20C22×#6107C2211yescharacteristic
21C22×C4⋊Dic13C2211yescharacteristic
22C2×#88178C2211yescharacteristic
23C2×#88178C2211yescharacteristic
24C23×#1055C2211yescharacteristic
25C23×#1055C2211yescharacteristic
26C13×#398—21no—
27C13×#396—21no—
28C13×#391C2211yescharacteristic
29C13×#389C2211yescharacteristic
30C13×#386—21no—
31C13×#380—21no—
32C13×#380C2211yescharacteristic
33C2×#88075C2211yescharacteristic
34C2×#88075C2211yescharacteristic
35C2×#88075C2211yescharacteristic
36#11718881—21no—
37#11718873C2211yescharacteristic
38C2×C22⋊#1055C2211yescharacteristic
39C2×C22⋊#1055C2211yescharacteristic
40#11718712—24no—
41#11718712—24no—
42D4×#1055—24no—
43#11718645—21no—
44C2×#88050C2211yescharacteristic
45C2×#88050C2211yescharacteristic
46C2×#88050C2211yescharacteristic
47C2×#88047—24no—
48C2×#88047C2211yescharacteristic
49C2×#88047C2211yescharacteristic
50C2×#88047C2211yescharacteristic
51C2×#88047C2211yescharacteristic
52C2×#88047C2211yescharacteristic
53#11718609—21no—
54#11718603—21no—
55#11718590C2211yescharacteristic
56#11718589C2211yescharacteristic
57C2×C4⋊#1055C2211yescharacteristic
58C2×C4×#1055C2211yescharacteristic
59#11718121C2211yescharacteristic
60#11718121C2211yescharacteristic
61#11718121C2211yescharacteristic
62#11718121C2211yescharacteristic
63C22×Q8×C13C2311yescharacteristic
64C22×D4×C13D411yescharacteristic
65C23×C4×C13—21no—
66C23×C4×C13C2311yescharacteristic
67C23×C4×C13C2311yescharacteristic
68C23×Dic13—21no—
69C22×Dic26C2311yescharacteristic
70C13×C22⋊Q8—22no—
71C13×C22⋊Q8—22no—
72C13×C22⋊Q8—22no—
73C13×C22⋊Q8—41no—
74C4×D4×C13—22no—
75C4×D4×C13—22no—
76C2×C13×C4⋊C4—22no—
77C2×C13×C4⋊C4—21no—
78C2×C13×C4⋊C4—21no—
79C2×C13×C4⋊C4—21no—
80C2×C13×C4⋊C4—21no—
81C2×C13×C4⋊C4—41no—
82C2×C13×C4⋊C4D411yescharacteristic
83C2×C13×C4⋊C4C2311yescharacteristic
84C2×C13×C4⋊C4C2311yescharacteristic
85C2×C13×C4⋊C4C2311yescharacteristic
86C2×C13×C22⋊C4—21no—
87C2×C13×C22⋊C4—21no—
88C2×C13×C22⋊C4—21no—
89C2×C13×C22⋊C4D411yescharacteristic
90C2×C13×C22⋊C4D411yescharacteristic
91C2×C42×C13C2311yescharacteristic
92C2×C22⋊Dic13—21no—
93C2×C22⋊Dic13—21no—
94C2×C22⋊Dic13—21no—
95C2×#6107—22no—
96C2×#6107—22no—
97C2×#6107—22no—
98C2×C4⋊Dic13—22no—
99C2×C4⋊Dic13—21no—
100C2×C4⋊Dic13—41no—
101C2×C4⋊Dic13C2311yescharacteristic
102C2×C4⋊Dic13C2311yescharacteristic
103C2×C4⋊Dic13C2311yescharacteristic
104#88178—22no—
105#88178—22no—
106#88178—22no—
107#88178—41no—
108C2×#6101—21no—
109C2×#6101—21no—
110C2×#6101—21no—
111C22×#1055—22no—
112C22×#1055—22no—
113C22×#1055—22no—
114C22×#1055—22no—
115C22×#1055—22no—
116C22×#1055D414yes—
117C22×#1055C2311yescharacteristic
118C22×#1055C2311yescharacteristic
119C22×#1055C2311yescharacteristic
120C22×#1055C2311yescharacteristic
121C13×#95—21no—
122C13×#95—21no—
123C13×#95—21no—
124C13×#95—21no—
125#88075—22no—
126#88075—22no—
127#88075—41no—
128#88071—21no—
129#88071—21no—
130#88071—21no—
131#88071—21no—
132C22⋊#1055—22no—
133C22⋊#1055—22no—
134#88050—22no—
135#88050—22no—
136#88050—41no—
137#88047—22no—
138#88047—22no—
139#88047—22no—
140#88047—22no—
141#88047D414yescomplemented
142C4⋊#1055—22no—
143C4×#1055—22no—
144#24781—131nomaximal, Sylow
145C24×C13C2×D411yescharacteristic
146C24×C13C2×D411yescharacteristic
147C2×Q8×C13—21no—
148C2×Q8×C13—21no—
149C2×Q8×C13—21no—
150C2×Q8×C13—21no—
151C2×Q8×C13—21no—
152C2×Q8×C13—21no—
153C2×D4×C13—22no—
154C2×D4×C13—22no—
155C2×D4×C13Q1614yescomplemented
156C22×C4×C13—21no—
157C22×C4×C13—21no—
158C22×C4×C13—21no—
159C22×C4×C13—21no—
160C22×C4×C13—21no—
161C22×C4×C13—21no—
162C22×C4×C13—21no—
163C22×C4×C13—21no—
164C22×C4×C13—21no—
165C22×C4×C13—21no—
166C22×C4×C13—21no—
167C22×C4×C13—21no—
168C22×C4×C13—21no—
169C22×C4×C13—21no—
170C22×C4×C13—42no—
171C22×C4×C13—42no—
172C22×C4×C13—81no—
173C22×C4×C13C2×D412yes—
174C22×C4×C13C2×D411yescharacteristic
175C22×C4×C13C2×D411yescharacteristic
176C22×C4×C13C2×D411yescharacteristic
177C22×C4×C13C2×D411yescharacteristic
178C22×C4×C13#4112yes—
179C22×C4×C13C2411yescharacteristic
180C22×Dic13—21no—
181C22×Dic13—21no—
182C22×Dic13—21no—
183C22×Dic13—21no—
184C22×Dic13—42no—
185C22×Dic13—42no—
186C22×Dic13—81no—
187C2×Dic26—21no—
188C2×Dic26—21no—
189C2×Dic26—21no—
190C2×Dic26—21no—
191C2×Dic26—21no—
192C2×Dic26—21no—
193C13×C4⋊C4—22no—
194C13×C4⋊C4—21no—
195C13×C4⋊C4—21no—
196C13×C4⋊C4—21no—
197C13×C4⋊C4—21no—
198C13×C4⋊C4—21no—
199C13×C4⋊C4—42no—
200C13×C4⋊C4—42no—
201C13×C4⋊C4—42no—
202C13×C4⋊C4—81no—
203C13×C4⋊C4C2×D412yes—
204C13×C22⋊C4—22no—
205C13×C22⋊C4—22no—
206C13×C22⋊C4—42no—
207C13×C22⋊C4—42no—
208C13×C22⋊C4—81no—
209C42×C13—21no—
210C42×C13—21no—
211C22⋊Dic13—42no—
212C22⋊Dic13—42no—
213C22⋊Dic13—81no—
214#6107—44no—
215C4⋊Dic13—21no—
216C4⋊Dic13—21no—
217C4⋊Dic13—21no—
218C4⋊Dic13—21no—
219C4⋊Dic13—21no—
220C4⋊Dic13—42no—
221C4⋊Dic13C2×D412yes—
222#6101—42no—
223#6101—42no—
224#6101—81no—
225C2×#1055—21no—
226C2×#1055—21no—
227C2×#1055—28no—
228C2×#1055—21no—
229C2×#1055—21no—
230C2×#1055—21no—
231C2×#1055—21no—
232C2×#1055—21no—
233C2×#1055—21no—
234C2×#1055—44no—
235C2×#1055C2×D412yes—
236C2×#1055C2×D412yes—
237C2×#1055C2×D412yes—
238C2×#1055#4112yes—
239C2×#467—131no—
240C2×#467—131no—
241C2×C8×D4—131no—
242C22×#107—131no—
243#2417—131no—
244#2417D1311yescharacteristic
245#2068—131no—
246#2068—131no—
247#2036—131no—
248#2036—131no—
249#1969—131no—
250#1942—131no—
251#1872—131no—
252#1872—131no—
253#1808—131no—
254C23×C13—21no—
255C23×C13—21no—
256C23×C13—21no—
257C23×C13—21no—
258C23×C13—21no—
259C23×C13—21no—
260C23×C13—21no—
261C23×C13—21no—
262C23×C13—21no—
263C23×C13—21no—
264C23×C13#12112yes—
265C23×C13C2×Q1612yes—
266C23×C13C2×Q1612yes—
267C23×C13#13512yes—
268C23×C13C22×D411yescharacteristic
269Q8×C13—41no—
270Q8×C13—41no—
271Q8×C13—41no—
272Q8×C13—41no—
273D4×C13—28no—
274C2×C4×C13—21no—
275C2×C4×C13—21no—
276C2×C4×C13—21no—
277C2×C4×C13—21no—
278C2×C4×C13—22no—
279C2×C4×C13—22no—
280C2×C4×C13—22no—
281C2×C4×C13—22no—
282C2×C4×C13—21no—
283C2×C4×C13—21no—
284C2×C4×C13—21no—
285C2×C4×C13—22no—
286C2×C4×C13—21no—
287C2×C4×C13—21no—
288C2×C4×C13—21no—
289C2×C4×C13—41no—
290C2×C4×C13—41no—
291C2×C4×C13—41no—
292C2×C4×C13—41no—
293C2×C4×C13—41no—
294C2×C4×C13—41no—
295C2×C4×C13—41no—
296C2×C4×C13—41no—
297C2×C4×C13—41no—
298C2×C4×C13—41no—
299C2×C4×C13—41no—
300C2×C4×C13—41no—
301C2×C4×C13—41no—
302C2×C4×C13—41no—
303C2×C4×C13—41no—
304C2×C4×C13—84no—
305C2×C4×C13#12112yes—
306C2×C4×C13C2×Q1612yes—
307C2×C4×C13C22×D411yescharacteristic
308C2×C4×C13C22×D411yescharacteristic
309C2×C4×C13C2×#4111yescharacteristic
310C2×C4×C13C2×#4111yescharacteristic
311C2×C4×C13H(5,𝔽2)11yescharacteristic
312C2×C4×C132−1+411yescharacteristic
313C2×Dic13—22no—
314C2×Dic13—41no—
315C2×Dic13—41no—
316C2×Dic13—41no—
317C2×Dic13—41no—
318C2×Dic13—41no—
319C2×Dic13—41no—
320C2×Dic13—41no—
321C2×Dic13—41no—
322C2×Dic13—41no—
323C2×Dic13—41no—
324C2×Dic13—41no—
325C2×Dic13—84no—
326Dic26—41no—
327Dic26—41no—
328Dic26—41no—
329Dic26—41no—
330#1055—22no—
331#1055—41no—
332#1055—41no—
333#1055#12114yes—
334C22×Q16—131no—
335C23×C8—131no—
336C23×C8—131no—
337C2×C22⋊Q8—131no—
338C2×C22⋊Q8—131no—
339C2×C22⋊Q8C2×D1311yescharacteristic
340C2×C22⋊Q8C2×D1311yescharacteristic
341C2×C4×D4C2×D1311yescharacteristic
342C22×C4⋊C4—131no—
343C22×C4⋊C4C2×D1311yescharacteristic
344#467—264no—
345#467—264no—
346C8×D4—264no—
347C2×#107—131no—
348C2×#107—131no—
349C2×#107—131no—
350C2×#107—131no—
351C2×#107—131no—
352C2×#107—264no—
353C2×C4⋊C8—131no—
354C2×#103—131no—
355C2×#103—131no—
356C2×#103—131no—
357C2×#103—131no—
358C2×#103—131no—
359C2×#103—131no—
360C2×C22⋊C8—131no—
361C2×C22⋊C8—131no—
362C2×C4×C8—131no—
363#398—21no—
364#398—261no—
365#396—21no—
366#396—261no—
367#391—131no—
368#391C2×D1311yescharacteristic
369#389—131no—
370#389C2×D1311yescharacteristic
371#386—21no—
372#386—261no—
373#380—21no—
374#380—131no—
375#380—261no—
376#380C2×D1311yescharacteristic
377#340—131no—
378#340—131no—
379#340—131no—
380#340—131no—
381C22×C13—22no—
382C22×C13—22no—
383C22×C13—22no—
384C22×C13—22no—
385C22×C13—22no—
386C22×C13—22no—
387C22×C13—22no—
388C22×C13—22no—
389C22×C13—22no—
390C22×C13—41no—
391C22×C13—41no—
392C22×C13—41no—
393C22×C13—41no—
394C22×C13#46714yescomplemented
395C22×C13C2×#12111yescharacteristic
396C22×C13D4211yescharacteristic
397C22×C13#54711yescharacteristic
398C22×C13C22×Q1611yescharacteristic
399C22×C13C2×#13511yescharacteristic
400C22×C13#57611yescharacteristic
401C22×C13#57811yescharacteristic
402C4×C13—22no—
403C4×C13—22no—
404C4×C13—41no—
405C4×C13—42no—
406C4×C13—41no—
407C4×C13—81no—
408C4×C13—81no—
409C4×C13—81no—
410C4×C13C2×#12111yescharacteristic
411C4×C13#53711yescharacteristic
412C4×C13#54811yescharacteristic
413C4×C13#55311yescharacteristic
414Dic13—42no—
415Dic13—81no—
416Dic13—81no—
417Dic13—81no—
418C22×Q8—131no—
419C22×Q8C22×D1311yescharacteristic
420C22×D4C22⋊D1311yescharacteristic
421C23×C4—21no—
422C23×C4—261no—
423C23×C4C22×D1311yescharacteristic
424C23×C4C22×D1311yescharacteristic
425C2×Q16—262no—
426C2×Q16—262no—
427C2×Q16—262no—
428C22×C8—131no—
429C22×C8—134no—
430C22×C8—131no—
431C22×C8—131no—
432C22×C8—131no—
433C22×C8—262no—
434C22×C8—262no—
435C22×C8—262no—
436C22×C8—262no—
437C22×C8—262no—
438C22⋊Q8—22no—
439C22⋊Q8—22no—
440C22⋊Q8—22no—
441C22⋊Q8—41no—
442C22⋊Q8—262no—
443C22⋊Q8—262no—
444C22⋊Q8—262no—
445C22⋊Q8—521no—
446C4×D4—22no—
447C4×D4—22no—
448C2×C4⋊C4—22no—
449C2×C4⋊C4—21no—
450C2×C4⋊C4—21no—
451C2×C4⋊C4—21no—
452C2×C4⋊C4—21no—
453C2×C4⋊C4—41no—
454C2×C4⋊C4—131no—
455C2×C4⋊C4—131no—
456C2×C4⋊C4—131no—
457C2×C4⋊C4—262no—
458C2×C4⋊C4—261no—
459C2×C4⋊C4—261no—
460C2×C4⋊C4—261no—
461C2×C4⋊C4—261no—
462C2×C4⋊C4—521no—
463C2×C4⋊C4C22⋊D1311yescharacteristic
464C2×C4⋊C4C22×D1311yescharacteristic
465C2×C4⋊C4C22×D1311yescharacteristic
466C2×C4⋊C4C22×D1311yescharacteristic
467C2×C22⋊C4—21no—
468C2×C22⋊C4—21no—
469C2×C22⋊C4—21no—
470C2×C22⋊C4—261no—
471C2×C22⋊C4—261no—
472C2×C22⋊C4—261no—
473C2×C22⋊C4C22⋊D1311yescharacteristic
474C2×C22⋊C4C22⋊D1311yescharacteristic
475C2×C42C22×D1311yescharacteristic
476#107—134no—
477#107—262no—
478#107—262no—
479#107—262no—
480#107—262no—
481C4⋊C8—262no—
482#103—262no—
483#103—262no—
484#103—262no—
485#103—262no—
486#103—521no—
487#103—521no—
488C22⋊C8—262no—
489C22⋊C8—262no—
490C4×C8—262no—
491#95—21no—
492#95—21no—
493#95—21no—
494#95—21no—
495#95—261no—
496#95—261no—
497#95—261no—
498#95—261no—
499C2×C13—24no—
500C2×C13—42no—
501C2×C13#241611yescharacteristic
502C2×C13C2×#46711yescharacteristic
503C2×C13#306111yescharacteristic
504C2×C13#328011yescharacteristic
505C2×C13D4×Q1611yescharacteristic
506C2×C13#333611yescharacteristic
507C2×C13#333811yescharacteristic
508C24C2×C22⋊D1311yescharacteristic
509C24C2×C22⋊D1311yescharacteristic
510C2×Q8—21no—
511C2×Q8—21no—
512C2×Q8—21no—
513C2×Q8—21no—
514C2×Q8—21no—
515C2×Q8—21no—
516C2×Q8—261no—
517C2×Q8—261no—
518C2×Q8—261no—
519C2×Q8—261no—
520C2×Q8—261no—
521C2×Q8—261no—
522C2×D4—22no—
523C2×D4—22no—
524C2×D4#610714yescomplemented
525C22×C4—21no—
526C22×C4—21no—
527C22×C4—21no—
528C22×C4—21no—
529C22×C4—21no—
530C22×C4—21no—
531C22×C4—21no—
532C22×C4—21no—
533C22×C4—21no—
534C22×C4—21no—
535C22×C4—21no—
536C22×C4—21no—
537C22×C4—21no—
538C22×C4—21no—
539C22×C4—42no—
540C22×C4—42no—
541C22×C4—81no—
542C22×C4—261no—
543C22×C4—261no—
544C22×C4—261no—
545C22×C4—261no—
546C22×C4—522no—
547C22×C4—522no—
548C22×C4—1041no—
549C22×C4D4×D1312yes—
550C22×C4#612912yes—
551C22×C4C2×C22⋊D1311yescharacteristic
552C22×C4C2×C22⋊D1311yescharacteristic
553C22×C4C2×C22⋊D1311yescharacteristic
554C22×C4C2×C22⋊D1311yescharacteristic
555C22×C4C23×D1311yescharacteristic
556Q16—524no—
557C2×C8—132no—
558C2×C8—132no—
559C2×C8—132no—
560C2×C8—132no—
561C2×C8—268no—
562C2×C8—261no—
563C2×C8—261no—
564C2×C8—261no—
565C2×C8—261no—
566C2×C8—261no—
567C2×C8—261no—
568C2×C8—261no—
569C2×C8—261no—
570C2×C8—524no—
571C4⋊C4—22no—
572C4⋊C4—21no—
573C4⋊C4—21no—
574C4⋊C4—21no—
575C4⋊C4—21no—
576C4⋊C4—21no—
577C4⋊C4—42no—
578C4⋊C4—42no—
579C4⋊C4—42no—
580C4⋊C4—81no—
581C4⋊C4—132no—
582C4⋊C4—261no—
583C4⋊C4—261no—
584C4⋊C4—261no—
585C4⋊C4—261no—
586C4⋊C4—261no—
587C4⋊C4—522no—
588C4⋊C4—522no—
589C4⋊C4—522no—
590C4⋊C4—1041no—
591C4⋊C4D4×D1312yes—
592C22⋊C4—22no—
593C22⋊C4—22no—
594C22⋊C4—42no—
595C22⋊C4—42no—
596C22⋊C4—81no—
597C22⋊C4—522no—
598C22⋊C4—522no—
599C22⋊C4—1041no—
600C42—21no—
601C42—21no—
602C13#2478111yescharacteristic, complemented, Sylow
603C23—21no—
604C23—21no—
605C23—21no—
606C23—21no—
607C23—21no—
608C23—21no—
609C23—21no—
610C23—21no—
611C23—21no—
612C23—21no—
613C23#8819312yes—
614C23C2×#610712yes—
615C23C2×#610712yes—
616C23#8820412yes—
617C23C22×C22⋊D1311yescharacteristic
618Q8—41no—
619Q8—41no—
620Q8—41no—
621Q8—41no—
622Q8—521no—
623Q8—521no—
624Q8—521no—
625Q8—521no—
626D4—28no—
627C2×C4—21no—
628C2×C4—21no—
629C2×C4—21no—
630C2×C4—21no—
631C2×C4—22no—
632C2×C4—22no—
633C2×C4—22no—
634C2×C4—22no—
635C2×C4—22no—
636C2×C4—21no—
637C2×C4—21no—
638C2×C4—21no—
639C2×C4—21no—
640C2×C4—21no—
641C2×C4—21no—
642C2×C4—41no—
643C2×C4—41no—
644C2×C4—41no—
645C2×C4—41no—
646C2×C4—41no—
647C2×C4—41no—
648C2×C4—41no—
649C2×C4—41no—
650C2×C4—41no—
651C2×C4—41no—
652C2×C4—41no—
653C2×C4—41no—
654C2×C4—41no—
655C2×C4—41no—
656C2×C4—41no—
657C2×C4—84no—
658C2×C4—262no—
659C2×C4—521no—
660C2×C4—521no—
661C2×C4—521no—
662C2×C4—521no—
663C2×C4—521no—
664C2×C4—521no—
665C2×C4—521no—
666C2×C4—521no—
667C2×C4—521no—
668C2×C4—521no—
669C2×C4—521no—
670C2×C4—1044no—
671C2×C4#8819312yes—
672C2×C4C2×#610712yes—
673C2×C4C2×D4×D1311yescharacteristic
674C2×C4C2×D4×D1311yescharacteristic
675C2×C4C2×#612911yescharacteristic
676C2×C4#8825111yescharacteristic
677C2×C4#41×D1311yescharacteristic
678C2×C4#8825711yescharacteristic
679C8—134no—
680C8—262no—
681C8—521no—
682C8—521no—
683C22—22no—
684C22—22no—
685C22—22no—
686C22—22no—
687C22—22no—
688C22—22no—
689C22—22no—
690C22—22no—
691C22—22no—
692C22—41no—
693C22—41no—
694C22—41no—
695C22—41no—
696C22#1171871214yescomplemented
697C22D4×C22⋊D1311yescharacteristic
698C22C2×#8819311yescharacteristic
699C22C22×#610711yescharacteristic
700C22C2×#8820411yescharacteristic
701C22#1171952911yescharacteristic
702C22#1171954011yescharacteristic
703C22#1171954311yescharacteristic
704C4—22no—
705C4—22no—
706C4—41no—
707C4—42no—
708C4—41no—
709C4—81no—
710C4—81no—
711C4—81no—
712C4—522no—
713C4—1041no—
714C4—1041no—
715C4—1041no—
716C4#1171930211yescharacteristic
717C4#1171930311yescharacteristic
718C4#1171930611yescharacteristic
719C4D13×#12111yescharacteristic
720C2—24no—
721C2—42no—
722C2#1311827311yescharacteristic
723C2C2×#1171871211yescharacteristic
724C2#1312450311yescharacteristic
725C2#1312651711yescharacteristic
726C2D4×#610711yescharacteristic
727C2#1312719811yescharacteristic
728C2#1312722411yescharacteristic
subgroupG/H
centerC23C22×C22⋊D13
commutator, cosocleC22×C4×C13C24
FrattiniC22×C4C23×D13
FittingC13×#2417C2
socleC23×C13C22×D4
prime radicalC22×D4×C13D4
hypercenter#2417D13
hypocenterC13#24781
LCSG ▷ C22×C4×C13 ▷ C2×C13 ▷ C13
UCSC1 ◁ C23 ◁ C2×C4×D4 ◁ #2417

Complements

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

NH ≅ G/Ntype
1. C2×#11718712C2semidirect
2. C2×#11718712C2semidirect
4. C22×#88047C2semidirect
6. #13116231C2semidirect
7. #13116228C2semidirect
8. #13116039C2semidirect
9. #13116036C2semidirect
10. #13115696C2semidirect
11. #13115566C2semidirect
12. #13115144C2semidirect
13. #13115143C2semidirect
14. #13114863C2semidirect
141. #88047D4semidirect
155. C2×D4×C13Q16semidirect
394. C22×C13#467semidirect
524. C2×D4#6107semidirect
602. C13#24781semidirect
696. C22#11718712semidirect

Maximal subgroups

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

subgroupindex
C2×#117187122
C2×D4×#10552
C22×#880472
#131182872
#131162312
#131162282
#131160392
#131160362
#131156962
#131155662
#131151442
#131151432
#131148632
C13×#24172
#2478113