Finite Group Databasebeta

← #15869470

Subgroups — #15869470

Order 3328.

1182 conjugacy classes of subgroups.

The subgroup lattice has 748 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#11718699C211yesmaximal, characteristic
2C2×#11718675C211yesmaximal, characteristic, complemented
3C22×#88043C211yesmaximal, characteristic, complemented
4C4×#88184C211yesmaximal, characteristic, complemented
5#13115711C211yesmaximal, characteristic, complemented
6#13115571C211yesmaximal, characteristic, complemented
7#13115536C211yesmaximal, characteristic, complemented
8#13115532C211yesmaximal, characteristic, complemented
9#13115265C211yesmaximal, characteristic, complemented
10#13115262C211yesmaximal, characteristic, complemented
11#13114859C211yesmaximal, characteristic, complemented
12#13114734C211yesmaximal, characteristic, complemented
13#13114664C211yesmaximal, characteristic, complemented
14#13114661C211yesmaximal, characteristic, complemented
15C4×C13×#121C211yesmaximal, characteristic, complemented
16C2×C13×#121C2211yescharacteristic
17C2×C4×D4×C13—21no—
18C2×C4×D4×C13C2211yescharacteristic
19C22×C42×C13C2211yescharacteristic
20C22×#6104C2211yescharacteristic
21C2×#88184C2211yescharacteristic
22C2×C4×C22⋊D13—21no—
23C23×#1055C2211yescharacteristic
24C23×#1055C2211yescharacteristic
25C2×C4×D52C2211yescharacteristic
26C13×#390C2211yescharacteristic
27C13×#389C2211yescharacteristic
28C13×#388—21no—
29C13×#386—21no—
30C13×#380C2211yescharacteristic
31C4×C13×C4⋊C4C2211yescharacteristic
32C4×C13×C22⋊C4—21no—
33C2×#88072C2211yescharacteristic
34C2×#88072C2211yescharacteristic
35C2×#88072C2211yescharacteristic
36#11718874—21no—
37#11718873C2211yescharacteristic
38#11718699C418yescomplemented
39#11718675—24no—
40C2×#88049C2211yescharacteristic
41C2×#88049C2211yescharacteristic
42C2×#88049C2211yescharacteristic
43C2×#88048C2211yescharacteristic
44C2×#88048C2211yescharacteristic
45C2×#88047C2211yescharacteristic
46#11718601—21no—
47#11718600C2211yescharacteristic
48C4×#6103—21no—
49C4×C4⋊Dic13C2211yescharacteristic
50#11718589C2211yescharacteristic
51C2×#88043—24no—
52C2×#88043C2211yescharacteristic
53C2×#88043C2211yescharacteristic
54C2×#88043C2211yescharacteristic
55C2×#88043C2211yescharacteristic
56#11718121C2211yescharacteristic
57#11718121C2211yescharacteristic
58#11718121C2211yescharacteristic
59#11718121C2211yescharacteristic
60#11718121C2211yescharacteristic
61#11718121C2211yescharacteristic
62C22×D4×C13—21no—
63C22×D4×C13C2311yescharacteristic
64C23×C4×C13—21no—
65C23×C4×C13D411yescharacteristic
66C23×C4×C13D411yescharacteristic
67C23×C4×C13C2311yescharacteristic
68C22×C22⋊D13—21no—
69C22×D52C2311yescharacteristic
70C22×C4×D13—21no—
71C13×#121—22no—
72C13×#121C2×C414yescomplemented
73C4×D4×C13—22no—
74C4×D4×C13—22no—
75C4×D4×C13—44no—
76C2×C13×C4⋊C4—21no—
77C2×C13×C4⋊C4C2311yescharacteristic
78C2×C13×C4⋊C4C2311yescharacteristic
79C2×C13×C4⋊C4C2311yescharacteristic
80C2×C13×C22⋊C4—21no—
81C2×C13×C22⋊C4—21no—
82C2×C13×C22⋊C4—21no—
83C2×C13×C22⋊C4—21no—
84C2×C13×C22⋊C4—21no—
85C2×C42×C13—22no—
86C2×C42×C13—22no—
87C2×C42×C13—21no—
88C2×C42×C13D411yescharacteristic
89C2×C42×C13D411yescharacteristic
90C2×C42×C13C2311yescharacteristic
91C2×C42×C13C2311yescharacteristic
92C2×C22⋊Dic13—21no—
93C2×#6104—22no—
94C2×#6104—22no—
95C2×#6104C2×C414yescomplemented
96#88184—22no—
97#88184C2×C414yescomplemented
98C4×C22⋊D13—44no—
99C2×#6103—21no—
100C2×#6103—21no—
101C2×#6103—21no—
102C2×#6103—21no—
103C2×C4⋊Dic13C2311yescharacteristic
104C2×C4⋊Dic13C2311yescharacteristic
105C2×C4⋊Dic13C2311yescharacteristic
106C2×#6101—21no—
107C2×C4×Dic13—21no—
108C22×#1055—22no—
109C22×#1055—22no—
110C22×#1055—22no—
111C22×#1055—22no—
112C22×#1055—22no—
113C22×#1055C2×C414yescomplemented
114C22×#1055C2311yescharacteristic
115C22×#1055C2311yescharacteristic
116C22×#1055C2311yescharacteristic
117C22×#1055C2311yescharacteristic
118C4×D52—22no—
119C4×D52—22no—
120C13×#95—21no—
121C13×#95—21no—
122C13×#95—21no—
123#88072—22no—
124#88072—22no—
125#88072C2×C414yescomplemented
126#88071—21no—
127#88071—21no—
128#88071—21no—
129#88049—22no—
130#88049—22no—
131#88049C2×C414yescomplemented
132#88048—22no—
133#88048—22no—
134#88047C2×C414yescomplemented
135#88043—22no—
136#88043—22no—
137#88043—22no—
138#88043D414yescomplemented
139#21526—131nomaximal, Sylow
140C24×C13—21no—
141C24×C13C2×D411yescharacteristic
142C23×D13—21no—
143C2×D4×C13—24no—
144C2×D4×C13—21no—
145C2×D4×C13—21no—
146C2×D4×C13—21no—
147C2×D4×C13—21no—
148C2×D4×C13—21no—
149C2×D4×C13—42no—
150C2×D4×C13—42no—
151C2×D4×C13C22×C412yes—
152C22×C4×C13—21no—
153C22×C4×C13—21no—
154C22×C4×C13—21no—
155C22×C4×C13—21no—
156C22×C4×C13—22no—
157C22×C4×C13—22no—
158C22×C4×C13—21no—
159C22×C4×C13—22no—
160C22×C4×C13—22no—
161C22×C4×C13—21no—
162C22×C4×C13—21no—
163C22×C4×C13—41no—
164C22×C4×C13—41no—
165C22×C4×C13—42no—
166C22×C4×C13—42no—
167C22×C4×C13—42no—
168C22×C4×C13C22×C412yes—
169C22×C4×C13C2×D411yescharacteristic
170C22×C4×C13C2×D411yescharacteristic
171C22×C4×C13C2×D411yescharacteristic
172C22×C4×C13C2×D411yescharacteristic
173C22×C4×C13C2×D411yescharacteristic
174C22×C4×C13#4112yes—
175C22×C4×C13C2411yescharacteristic
176C2×C22⋊D13—24no—
177C2×C22⋊D13—42no—
178C2×C22⋊D13—42no—
179C22×Dic13—21no—
180C22×Dic13—21no—
181C22×Dic13—21no—
182C2×D52—21no—
183C2×D52—21no—
184C2×D52—21no—
185C2×D52—21no—
186C2×D52—21no—
187C2×D52C22×C412yes—
188C2×C4×D13—42no—
189C2×C4×D13—42no—
190C2×C4×D13—42no—
191C13×C4⋊C4—21no—
192C13×C4⋊C4—21no—
193C13×C4⋊C4—21no—
194C13×C4⋊C4—21no—
195C13×C4⋊C4—21no—
196C13×C4⋊C4—42no—
197C13×C4⋊C4C22×C412yes—
198C13×C22⋊C4—24no—
199C13×C22⋊C4—42no—
200C13×C22⋊C4—42no—
201C13×C22⋊C4—42no—
202C13×C22⋊C4—42no—
203C42×C13—22no—
204C42×C13—22no—
205C42×C13—21no—
206C42×C13—21no—
207C42×C13—42no—
208C42×C13C2×D412yes—
209C42×C13#4112yes—
210C22⋊Dic13—42no—
211#6104—28no—
212#6103—24no—
213#6103—42no—
214#6103—42no—
215#6103—42no—
216C4⋊Dic13—21no—
217C4⋊Dic13—21no—
218C4⋊Dic13—21no—
219C4⋊Dic13—21no—
220C4⋊Dic13—21no—
221C4⋊Dic13C22×C412yes—
222#6101—42no—
223C4×Dic13—42no—
224C2×#1055—28no—
225C2×#1055—21no—
226C2×#1055—21no—
227C2×#1055—21no—
228C2×#1055—21no—
229C2×#1055—21no—
230C2×#1055—21no—
231C2×#1055—28no—
232C2×#1055C22×C412yes—
233C2×#1055C22×C412yes—
234C2×#1055C2×D412yes—
235C2×#1055C2×D412yes—
236C2×#1055#4112yes—
237C2×#1055#4112yes—
238C2×#466—131no—
239C2×#442—131no—
240C22×#97—131no—
241C4×#121—131no—
242C4×#121D1311yescharacteristic, complemented
243#1972—131no—
244#1943—131no—
245#1936—131no—
246#1936—131no—
247#1893—131no—
248#1893—131no—
249#1807—131no—
250#1776—131no—
251#1762—131no—
252#1762—131no—
253C23×C13—21no—
254C23×C13—21no—
255C23×C13—21no—
256C23×C13—21no—
257C23×C13—22no—
258C23×C13—41no—
259C23×C13—41no—
260C23×C13—41no—
261C23×C13—41no—
262C23×C13—41no—
263C23×C13—41no—
264C23×C13C4×D412yes—
265C23×C13AGL(1,ℤ/8)12yes—
266C23×C13AGL(1,ℤ/8)12yes—
267C23×C13C22×D411yescharacteristic
268C22×D13—22no—
269C22×D13—41no—
270C22×D13—41no—
271C22×D13—41no—
272C22×D13—41no—
273C22×D13—41no—
274C22×D13—41no—
275D4×C13—22no—
276D4×C13—22no—
277D4×C13—48no—
278D4×C13—41no—
279D4×C13—41no—
280C2×C4×C13—21no—
281C2×C4×C13—21no—
282C2×C4×C13—21no—
283C2×C4×C13—21no—
284C2×C4×C13—21no—
285C2×C4×C13—21no—
286C2×C4×C13—22no—
287C2×C4×C13—22no—
288C2×C4×C13—22no—
289C2×C4×C13—22no—
290C2×C4×C13—22no—
291C2×C4×C13—21no—
292C2×C4×C13—21no—
293C2×C4×C13—21no—
294C2×C4×C13—21no—
295C2×C4×C13—21no—
296C2×C4×C13—21no—
297C2×C4×C13—44no—
298C2×C4×C13—44no—
299C2×C4×C13—41no—
300C2×C4×C13—41no—
301C2×C4×C13—41no—
302C2×C4×C13—41no—
303C2×C4×C13—41no—
304C2×C4×C13—41no—
305C2×C4×C13—41no—
306C2×C4×C13—41no—
307C2×C4×C13—84no—
308C2×C4×C13C4×D412yes—
309C2×C4×C13#12112yes—
310C2×C4×C13#12112yes—
311C2×C4×C13C23×C411yescharacteristic
312C2×C4×C13C22×D411yescharacteristic
313C2×C4×C13C2×#4111yescharacteristic
314C2×C4×C13C2×#4111yescharacteristic
315C2×C4×C13C2×#4111yescharacteristic
316C2×C4×C13C2×#4111yescharacteristic
317C22⋊D13—48no—
318C2×Dic13—22no—
319C2×Dic13—41no—
320C2×Dic13—41no—
321C2×Dic13—41no—
322C2×Dic13—41no—
323C2×Dic13—41no—
324C2×Dic13—41no—
325C2×Dic13—41no—
326C2×Dic13—41no—
327D52—22no—
328D52—22no—
329D52—41no—
330D52—41no—
331C4×D13—84no—
332#1055—22no—
333#1055—22no—
334#1055—22no—
335#1055C4×D414yescomplemented
336C22×D8—131no—
337C23×C8—131no—
338C23×C8—131no—
339C2×#121—131no—
340C2×#121C2×D1311yescharacteristic
341C2×C4×D4—21no—
342C2×C4×D4—131no—
343C2×C4×D4—261no—
344C2×C4×D4C2×D1311yescharacteristic
345C22×C42C2×D1311yescharacteristic
346#466—138no—
347#442—264no—
348C2×#107—131no—
349C2×#106—131no—
350C2×#106—131no—
351C2×#102—131no—
352C2×#102—131no—
353C2×#102—131no—
354C2×#102—131no—
355C2×#102—131no—
356C2×#102—131no—
357C2×#97—131no—
358C2×#97—131no—
359C2×#97—131no—
360C2×#97—131no—
361C2×#97—264no—
362#390—131no—
363#390C2×D1311yescharacteristic
364#389—131no—
365#389C2×D1311yescharacteristic
366#388—21no—
367#388—261no—
368#386—21no—
369#386—261no—
370#380—131no—
371#380C2×D1311yescharacteristic
372C4×C4⋊C4—131no—
373C4×C4⋊C4C2×D1311yescharacteristic
374C4×C22⋊C4—21no—
375C4×C22⋊C4—261no—
376#340—131no—
377#340—131no—
378#340—131no—
379#340—131no—
380#340—131no—
381#340—131no—
382C22×C13—22no—
383C22×C13—22no—
384C22×C13—22no—
385C22×C13—22no—
386C22×C13—22no—
387C22×C13—22no—
388C22×C13—42no—
389C22×C13—42no—
390C22×C13—42no—
391C22×C13—81no—
392C22×C13—81no—
393C22×C13—81no—
394C22×C13—81no—
395C22×C13#44214yescomplemented
396C22×C13C2×C4×D411yescharacteristic
397C22×C13C2×#12111yescharacteristic
398C22×C13#53211yescharacteristic
399C22×C13C2×AGL(1,ℤ/8)11yescharacteristic
400C22×C13C2×AGL(1,ℤ/8)11yescharacteristic
401C22×C13#57511yescharacteristic
402C22×C13#57511yescharacteristic
403C2×D13—42no—
404C2×D13—42no—
405C2×D13—42no—
406C2×D13—81no—
407C2×D13—81no—
408C2×D13—81no—
409C2×D13—81no—
410C4×C13—22no—
411C4×C13—22no—
412C4×C13—22no—
413C4×C13—42no—
414C4×C13—41no—
415C4×C13—41no—
416C4×C13—81no—
417C4×C13—81no—
418C4×C13C2×C4×D411yescharacteristic
419C4×C13C4×#4111yescharacteristic
420C4×C13#52511yescharacteristic
421C4×C13#52911yescharacteristic
422Dic13—42no—
423Dic13—81no—
424Dic13—81no—
425C22×D4—21no—
426C22×D4—131no—
427C22×D4—261no—
428C22×D4C22×D1311yescharacteristic
429C23×C4—21no—
430C23×C4—261no—
431C23×C4C22⋊D1311yescharacteristic
432C23×C4C22⋊D1311yescharacteristic
433C23×C4C22×D1311yescharacteristic
434C2×D8—134no—
435C2×D8—262no—
436C2×D8—262no—
437C22×C8—131no—
438C22×C8—134no—
439C22×C8—131no—
440C22×C8—131no—
441C22×C8—131no—
442C22×C8—262no—
443C22×C8—262no—
444C22×C8—262no—
445C22×C8—262no—
446C22×C8—262no—
447#121—22no—
448#121—134no—
449#121—262no—
450#121C4×D1314yescomplemented
451C4×D4—22no—
452C4×D4—22no—
453C4×D4—44no—
454C4×D4—262no—
455C4×D4—262no—
456C4×D4—524no—
457C2×C4⋊C4—21no—
458C2×C4⋊C4—131no—
459C2×C4⋊C4—131no—
460C2×C4⋊C4—131no—
461C2×C4⋊C4—261no—
462C2×C4⋊C4C22×D1311yescharacteristic
463C2×C4⋊C4C22×D1311yescharacteristic
464C2×C4⋊C4C22×D1311yescharacteristic
465C2×C22⋊C4—21no—
466C2×C22⋊C4—21no—
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⋊C4—261no—
474C2×C22⋊C4—261no—
475C2×C42—22no—
476C2×C42—22no—
477C2×C42—21no—
478C2×C42—261no—
479C2×C42C22⋊D1311yescharacteristic
480C2×C42C22⋊D1311yescharacteristic
481C2×C42C22×D1311yescharacteristic
482C2×C42C22×D1311yescharacteristic
483#107—134no—
484#106—262no—
485#106—262no—
486#102—134no—
487#102—134no—
488#102—262no—
489#102—262no—
490#102—262no—
491#102—262no—
492#97—134no—
493#97—262no—
494#97—262no—
495#97—262no—
496#95—21no—
497#95—21no—
498#95—21no—
499#95—261no—
500#95—261no—
501#95—261no—
502C2×C13—24no—
503C2×C13—82no—
504C2×C13C4×#12111yescharacteristic
505C2×C13C2×#44211yescharacteristic
506C2×C13#294311yescharacteristic
507C2×C13#305511yescharacteristic
508C2×C13#305511yescharacteristic
509C2×C13#318011yescharacteristic
510C2×C13#318011yescharacteristic
511D13—82no—
512C24—21no—
513C24—261no—
514C24C2×C22⋊D1311yescharacteristic
515C2×D4—24no—
516C2×D4—21no—
517C2×D4—21no—
518C2×D4—21no—
519C2×D4—21no—
520C2×D4—21no—
521C2×D4—42no—
522C2×D4—42no—
523C2×D4—132no—
524C2×D4—264no—
525C2×D4—261no—
526C2×D4—261no—
527C2×D4—261no—
528C2×D4—261no—
529C2×D4—261no—
530C2×D4—522no—
531C2×D4—522no—
532C2×D4C2×C4×D1312yes—
533C22×C4—21no—
534C22×C4—21no—
535C22×C4—21no—
536C22×C4—21no—
537C22×C4—22no—
538C22×C4—22no—
539C22×C4—21no—
540C22×C4—22no—
541C22×C4—22no—
542C22×C4—21no—
543C22×C4—21no—
544C22×C4—41no—
545C22×C4—41no—
546C22×C4—42no—
547C22×C4—42no—
548C22×C4—42no—
549C22×C4—261no—
550C22×C4—261no—
551C22×C4—261no—
552C22×C4—522no—
553C22×C4—522no—
554C22×C4—522no—
555C22×C4C2×C4×D1312yes—
556C22×C4#612712yes—
557C22×C4C2×C22⋊D1311yescharacteristic
558C22×C4C2×C22⋊D1311yescharacteristic
559C22×C4C2×C22⋊D1311yescharacteristic
560C22×C4C2×C22⋊D1311yescharacteristic
561C22×C4C2×C22⋊D1311yescharacteristic
562C22×C4C23×D1311yescharacteristic
563D8—268no—
564C2×C8—132no—
565C2×C8—132no—
566C2×C8—132no—
567C2×C8—132no—
568C2×C8—132no—
569C2×C8—132no—
570C2×C8—268no—
571C2×C8—268no—
572C2×C8—261no—
573C2×C8—261no—
574C2×C8—261no—
575C2×C8—261no—
576C2×C8—261no—
577C2×C8—261no—
578C4⋊C4—21no—
579C4⋊C4—21no—
580C4⋊C4—21no—
581C4⋊C4—21no—
582C4⋊C4—21no—
583C4⋊C4—42no—
584C4⋊C4—132no—
585C4⋊C4—261no—
586C4⋊C4—261no—
587C4⋊C4—261no—
588C4⋊C4—261no—
589C4⋊C4—261no—
590C4⋊C4—522no—
591C4⋊C4C2×C4×D1312yes—
592C22⋊C4—24no—
593C22⋊C4—42no—
594C22⋊C4—42no—
595C22⋊C4—42no—
596C22⋊C4—42no—
597C22⋊C4—264no—
598C22⋊C4—522no—
599C22⋊C4—522no—
600C22⋊C4—522no—
601C22⋊C4—522no—
602C42—22no—
603C42—22no—
604C42—21no—
605C42—21no—
606C42—42no—
607C42—522no—
608C42D4×D1312yes—
609C42#612912yes—
610C13#2152611yescharacteristic, complemented, Sylow
611C23—21no—
612C23—21no—
613C23—21no—
614C23—21no—
615C23—22no—
616C23—41no—
617C23—41no—
618C23—41no—
619C23—41no—
620C23—41no—
621C23—41no—
622C23—262no—
623C23—521no—
624C23—521no—
625C23—521no—
626C23—521no—
627C23—521no—
628C23—521no—
629C23C4×C22⋊D1312yes—
630C23#8818612yes—
631C23#8820312yes—
632C23C22×C22⋊D1311yescharacteristic
633D4—22no—
634D4—22no—
635D4—48no—
636D4—41no—
637D4—41no—
638D4—262no—
639D4—262no—
640D4—528no—
641D4—521no—
642D4—521no—
643C2×C4—21no—
644C2×C4—21no—
645C2×C4—21no—
646C2×C4—21no—
647C2×C4—21no—
648C2×C4—21no—
649C2×C4—22no—
650C2×C4—22no—
651C2×C4—22no—
652C2×C4—22no—
653C2×C4—22no—
654C2×C4—21no—
655C2×C4—21no—
656C2×C4—21no—
657C2×C4—21no—
658C2×C4—21no—
659C2×C4—21no—
660C2×C4—44no—
661C2×C4—44no—
662C2×C4—41no—
663C2×C4—41no—
664C2×C4—41no—
665C2×C4—41no—
666C2×C4—41no—
667C2×C4—41no—
668C2×C4—41no—
669C2×C4—41no—
670C2×C4—84no—
671C2×C4—262no—
672C2×C4—521no—
673C2×C4—521no—
674C2×C4—521no—
675C2×C4—521no—
676C2×C4—521no—
677C2×C4—521no—
678C2×C4—521no—
679C2×C4—521no—
680C2×C4—1044no—
681C2×C4C4×C22⋊D1312yes—
682C2×C4#8819312yes—
683C2×C4#8819312yes—
684C2×C4C22×C4×D1311yescharacteristic
685C2×C4C2×#612711yescharacteristic
686C2×C4C2×D4×D1311yescharacteristic
687C2×C4C2×#612911yescharacteristic
688C2×C4#41×D1311yescharacteristic
689C2×C4#41×D1311yescharacteristic
690C8—134no—
691C8—262no—
692C8—262no—
693C8—262no—
694C22—22no—
695C22—22no—
696C22—22no—
697C22—22no—
698C22—22no—
699C22—22no—
700C22—42no—
701C22—42no—
702C22—42no—
703C22—81no—
704C22—81no—
705C22—81no—
706C22—81no—
707C22—522no—
708C22—522no—
709C22—522no—
710C22—1041no—
711C22—1041no—
712C22—1041no—
713C22—1041no—
714C22#1171867514yescomplemented
715C22C2×C4×C22⋊D1311yescharacteristic
716C22C2×#8818611yescharacteristic
717C22C2×#8819311yescharacteristic
718C22C2×#8820311yescharacteristic
719C22#1171952711yescharacteristic
720C22#1171952711yescharacteristic
721C22#1171953711yescharacteristic
722C4—22no—
723C4—22no—
724C4—22no—
725C4—42no—
726C4—41no—
727C4—41no—
728C4—81no—
729C4—81no—
730C4—522no—
731C4—1041no—
732C4—1041no—
733C4C4×#612911yescharacteristic
734C4#1171924311yescharacteristic
735C4C4×D4×D1311yescharacteristic
736C4#1171925211yescharacteristic
737C2—24no—
738C2—82no—
739C2—1042no—
740C2C4×#8819311yescharacteristic
741C2C2×#1171867511yescharacteristic
742C2#1312363411yescharacteristic
743C2#1312445111yescharacteristic
744C2#1312445711yescharacteristic
745C2#1312552811yescharacteristic
746C2#1312553511yescharacteristic
subgroupG/H
centerC23C22×C22⋊D13
commutatorC2×C4×C13C23×C4
FrattiniC22×C4C23×D13
FittingC4×C13×#121C2
socleC23×C13C22×D4
prime radicalC2×#11718699C2
cosocleC22×C4×C13C24
hypercenterC4×#121D13
hypocenterC13#21526
LCSG ▷ C2×C4×C13 ▷ C2×C13 ▷ C13
UCSC1 ◁ C23 ◁ C22×C42 ◁ C4×#121

Complements

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

NH ≅ G/Ntype
2. C2×#11718675C2semidirect
3. C22×#88043C2semidirect
4. C4×#88184C2semidirect
5. #13115711C2semidirect
6. #13115571C2semidirect
7. #13115536C2semidirect
8. #13115532C2semidirect
9. #13115265C2semidirect
10. #13115262C2semidirect
11. #13114859C2semidirect
12. #13114734C2semidirect
13. #13114664C2semidirect
14. #13114661C2semidirect
15. C4×C13×#121C2semidirect
38. #11718699C4semidirect
72. C13×#121C2×C4semidirect
95. C2×#6104C2×C4semidirect
97. #88184C2×C4semidirect
113. C22×#1055C2×C4semidirect
125. #88072C2×C4semidirect
131. #88049C2×C4semidirect
134. #88047C2×C4semidirect
138. #88043D4semidirect
242. C4×#121D13semidirect
335. #1055C4×D4semidirect
395. C22×C13#442semidirect
450. #121C4×D13semidirect
610. C13#21526semidirect
714. C22#11718675semidirect

Maximal subgroups

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

subgroupindex
C2×#117186992
C2×#117186752
C22×#880432
C4×#881842
#131157112
#131155712
#131155362
#131155322
#131152652
#131152622
#131148592
#131147342
#131146642
#131146612
C4×C13×#1212
#2152613