Finite Group Databasebeta

← #15883297

Subgroups — #15883297

Order 3328.

1134 conjugacy classes of subgroups.

The subgroup lattice has 742 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#11718708C211yesmaximal, characteristic
2C2×#11718687C211yesmaximal, characteristic, complemented
3C2×#11718627C211yesmaximal, characteristic
4#13117667C211yesmaximal, characteristic
5#13115696C211yesmaximal, characteristic, complemented
6#13115525C211yesmaximal, characteristic, complemented
7#13115477C211yesmaximal, characteristic, complemented
8#13115270C211yesmaximal, characteristic, complemented
9#13115177C211yesmaximal, characteristic, complemented
10#13115173C211yesmaximal, characteristic, complemented
11#13115082C211yesmaximal, characteristic, complemented
12#13115024C211yesmaximal, characteristic, complemented
13C4×#88049C211yesmaximal, characteristic, complemented
14#13114620C211yesmaximal, characteristic, complemented
15C13×#2360C211yesmaximal, characteristic, complemented
16C22×#6127C2211yescharacteristic
17C2×C13×C22⋊Q8C2211yescharacteristic
18C2×C4×Q8×C13C2211yescharacteristic
19C22×C13×C4⋊C4C2211yescharacteristic
20C22×#6107C2211yescharacteristic
21C22×#6106C2211yescharacteristic
22C22×#6099C2211yescharacteristic
23C2×C4×D52C2211yescharacteristic
24C2×C4×D52C2211yescharacteristic
25C13×#391C2211yescharacteristic
26C13×#389—21no—
27C13×#389C2211yescharacteristic
28C13×#387—21no—
29C13×#385—21no—
30C4×C13×C4⋊C4C2211yescharacteristic
31C4×C13×C22⋊C4—21no—
32C4×C13×C22⋊C4C2211yescharacteristic
33C2×#88075C2211yescharacteristic
34C2×#88075C2211yescharacteristic
35#11718873C2211yescharacteristic
36C2×C22⋊#1055C2211yescharacteristic
37#11718708C418yescomplemented
38#11718687—24no—
39C2×#88050C2211yescharacteristic
40C2×#88050C2211yescharacteristic
41C2×#88050C2211yescharacteristic
42#11718627—24no—
43C2×#88049C2211yescharacteristic
44C2×#88049C2211yescharacteristic
45C2×#88049C2211yescharacteristic
46C2×#88047C2211yescharacteristic
47C2×#88047C2211yescharacteristic
48#11718617—21no—
49#11718617—21no—
50#11718590C2211yescharacteristic
51#11718590C2211yescharacteristic
52C2×#88043C2211yescharacteristic
53C2×C4×#1055C2211yescharacteristic
54#11718325—21no—
55D13×#95—21no—
56#11718121C2211yescharacteristic
57#11718121C2211yescharacteristic
58#11718121C2211yescharacteristic
59#11718121C2211yescharacteristic
60#11718116C2211yescharacteristic
61#11718116C2211yescharacteristic
62C22×Q8×C13C2311yescharacteristic
63C23×C4×C13—21no—
64C23×C4×C13C2311yescharacteristic
65C22×C22⋊D13—21no—
66C2×#6127—22no—
67C2×#6127—22no—
68C2×#6127—22no—
69C2×#6127—41no—
70C2×#6127—41no—
71C2×#6127C2×C414yes—
72C22×D52C2311yescharacteristic
73C22×C4×D13—21no—
74C22×C4×D13—21no—
75C22×C4×D13—21no—
76C22×Dic26C2311yescharacteristic
77C13×C22⋊Q8—22no—
78C13×C22⋊Q8C2×C414yescomplemented
79C4×Q8×C13—22no—
80C4×Q8×C13—41no—
81C2×C13×C4⋊C4—21no—
82C2×C13×C4⋊C4—22no—
83C2×C13×C4⋊C4—21no—
84C2×C13×C4⋊C4—21no—
85C2×C13×C4⋊C4—21no—
86C2×C13×C4⋊C4—41no—
87C2×C13×C4⋊C4C2311yescharacteristic
88C2×C13×C4⋊C4C2311yescharacteristic
89C2×C13×C4⋊C4C2311yescharacteristic
90C2×C13×C22⋊C4—21no—
91C2×C13×C22⋊C4D411yescharacteristic
92C2×C13×C22⋊C4D411yescharacteristic
93C2×C42×C13—21no—
94C2×C42×C13—21no—
95C2×C42×C13C2311yescharacteristic
96C2×C42×C13C2311yescharacteristic
97C2×C22⋊Dic13—21no—
98C2×#6107—41no—
99C2×#6107—41no—
100C2×#6107C2×C414yescomplemented
101C2×#6106—22no—
102C2×#6106—22no—
103C2×#6106C2×C414yescomplemented
104C2×#6103—21no—
105C2×#6103—21no—
106C2×C4⋊Dic13C2311yescharacteristic
107C2×C4⋊Dic13C2311yescharacteristic
108C2×#6099—22no—
109C2×#6099—22no—
110C2×#6099—41no—
111C22×#1055C2311yescharacteristic
112C22×#1055C2311yescharacteristic
113C22×#1055C2311yescharacteristic
114C22×#1055C2311yescharacteristic
115C4×D52—22no—
116C4×D52—22no—
117C4×D52—41no—
118C4×D52—41no—
119C13×#95—21no—
120C13×#95—21no—
121C13×#95—21no—
122C13×#95—21no—
123C13×#95D411yescharacteristic
124C13×#95D411yescharacteristic
125#88075—22no—
126#88075—41no—
127#88071—21no—
128#88071—21no—
129#88071—21no—
130#88071—21no—
131#88071—21no—
132C22⋊#1055C2×C414yescomplemented
133#88050—22no—
134#88050—22no—
135#88050C2×C414yescomplemented
136#88049—22no—
137#88049C2×C414yescomplemented
138#88049D414yes—
139#88047—22no—
140#88047—41no—
141#88043—22no—
142C4×#1055—41no—
143#22862—131nomaximal, Sylow
144C24×C13C2×D411yescharacteristic
145C23×D13—21no—
146C2×Q8×C13—21no—
147C2×Q8×C13—21no—
148C2×Q8×C13—21no—
149C2×Q8×C13—21no—
150C2×Q8×C13—21no—
151C2×Q8×C13C22×C412yes—
152C22×C4×C13—21no—
153C22×C4×C13—21no—
154C22×C4×C13—21no—
155C22×C4×C13—21no—
156C22×C4×C13—21no—
157C22×C4×C13—21no—
158C22×C4×C13—21no—
159C22×C4×C13—21no—
160C22×C4×C13—42no—
161C22×C4×C13—42no—
162C22×C4×C13—81no—
163C22×C4×C13C22×C412yes—
164C22×C4×C13C2×D411yescharacteristic
165C22×C4×C13C2×D411yescharacteristic
166C22×C4×C13C2×D411yescharacteristic
167C22×C4×C13C2×D411yescharacteristic
168C22×C4×C13C2×D411yescharacteristic
169C22×C4×C13#4112yes—
170C22×C4×C13C2411yescharacteristic
171C2×C22⋊D13—24no—
172C2×C22⋊D13—42no—
173C2×C22⋊D13—42no—
174C22×Dic13—21no—
175C22×Dic13—21no—
176C22×Dic13—21no—
177#6127—28no—
178#6127—44no—
179#6127—44no—
180#6127—44no—
181C2×D52—21no—
182C2×D52—21no—
183C2×D52—21no—
184C2×D52C22×C412yes—
185C2×D52C2×D412yes—
186C2×D52#4112yes—
187C2×C4×D13—24no—
188C2×C4×D13—42no—
189C2×C4×D13—42no—
190C2×C4×D13—42no—
191C2×C4×D13—42no—
192C2×C4×D13—42no—
193C2×C4×D13—42no—
194C2×C4×D13—81no—
195C2×C4×D13—81no—
196C2×Dic26—21no—
197C2×Dic26—21no—
198C2×Dic26—21no—
199C2×Dic26—21no—
200C2×Dic26—21no—
201C2×Dic26C22×C412yes—
202C13×C4⋊C4—24no—
203C13×C4⋊C4—21no—
204C13×C4⋊C4—21no—
205C13×C4⋊C4—21no—
206C13×C4⋊C4—21no—
207C13×C4⋊C4—42no—
208C13×C4⋊C4—42no—
209C13×C4⋊C4—81no—
210C13×C4⋊C4C22×C412yes—
211C13×C4⋊C4C2×D412yes—
212C13×C22⋊C4—24no—
213C13×C22⋊C4—22no—
214C13×C22⋊C4—41no—
215C42×C13—21no—
216C42×C13—21no—
217C42×C13—21no—
218C42×C13—21no—
219C42×C13—42no—
220C42×C13—81no—
221C22⋊Dic13—81no—
222#6107—44no—
223#6106—28no—
224#6103—42no—
225#6103—42no—
226C4⋊Dic13—21no—
227C4⋊Dic13—21no—
228C4⋊Dic13—21no—
229C4⋊Dic13—21no—
230#6099—44no—
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×#1055C22×C412yes—
241C2×#1055C22×C412yes—
242C2×#1055C2×D412yes—
243C2×#452—131no—
244C2×#440—131no—
245C2×#417—131no—
246#2360D1311yescharacteristic, complemented
247#2339—131no—
248#1969—131no—
249#1935—131no—
250#1928—131no—
251#1894—131no—
252#1878—131no—
253#1877—131no—
254#1862—131no—
255#1852—131no—
256C4×#102—131no—
257#1753—131no—
258C23×C13—21no—
259C23×C13—21no—
260C23×C13—21no—
261C23×C13—21no—
262C23×C13—21no—
263C23×C13—21no—
264C23×C13C4×D412yes—
265C23×C13C22×D411yescharacteristic
266C22×D13—22no—
267C22×D13—22no—
268C22×D13—22no—
269C22×D13—41no—
270C22×D13—41no—
271C22×D13—41no—
272C22×D13—41no—
273Q8×C13—22no—
274Q8×C13—22no—
275Q8×C13—41no—
276Q8×C13—41no—
277C2×C4×C13—21no—
278C2×C4×C13—21no—
279C2×C4×C13—21no—
280C2×C4×C13—21no—
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—21no—
288C2×C4×C13—21no—
289C2×C4×C13—22no—
290C2×C4×C13—21no—
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—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—41no—
305C2×C4×C13—41no—
306C2×C4×C13—84no—
307C2×C4×C13C4×D412yes—
308C2×C4×C13#13712yes—
309C2×C4×C13C23×C411yescharacteristic
310C2×C4×C13C22×D411yescharacteristic
311C2×C4×C13C2×#4111yescharacteristic
312C2×C4×C13C2×#4111yescharacteristic
313C2×C4×C13H(5,𝔽2)11yescharacteristic
314C2×C4×C13H(5,𝔽2)11yescharacteristic
315C22⋊D13—48no—
316C2×Dic13—22no—
317C2×Dic13—41no—
318C2×Dic13—41no—
319C2×Dic13—41no—
320C2×Dic13—41no—
321C2×Dic13—41no—
322C2×Dic13—41no—
323C2×Dic13—41no—
324C2×Dic13—41no—
325D52—22no—
326D52—22no—
327D52—22no—
328D52C4×D414yes—
329C4×D13—48no—
330C4×D13—84no—
331C4×D13—84no—
332Dic26—22no—
333Dic26—22no—
334Dic26—41no—
335Dic26—41no—
336#1055—22no—
337#1055—22no—
338#1055—22no—
339#1055—41no—
340C22×#41—131no—
341C22×Q16—131no—
342C22×SD16—131no—
343C22×M16—131no—
344C2×C22⋊Q8C2×D1311yescharacteristic
345C2×C4×Q8C2×D1311yescharacteristic
346C2×C4×D4—131no—
347C2×C4×D4—131no—
348C22×C4⋊C4C2×D1311yescharacteristic
349#452—138no—
350#440—264no—
351C2×#107—131no—
352C2×#107—131no—
353#417—264no—
354C2×#103—131no—
355C2×#103—131no—
356C2×#103—131no—
357C2×#103—131no—
358C2×#103—131no—
359C2×#102—131no—
360C2×#102—131no—
361C2×#102—131no—
362C2×C22⋊C8—131no—
363C2×#97—131no—
364C2×C4×C8—131no—
365#391—131no—
366#391—131no—
367#391C2×D1311yescharacteristic
368#389—21no—
369#389C2×D1311yescharacteristic
370#387—21no—
371#386—261no—
372#386—261no—
373#385—21no—
374#381—261no—
375#380—131no—
376C4×C4⋊C4C2×D1311yescharacteristic
377C4×C22⋊C4—21no—
378C4×C22⋊C4C2×D1311yescharacteristic
379C2×#95—261no—
380#340—131no—
381#340—131no—
382#340—131no—
383#340—131no—
384#336—131no—
385#336—131no—
386C22×C13—22no—
387C22×C13—22no—
388C22×C13—22no—
389C22×C13—41no—
390C22×C13—41no—
391C22×C13—41no—
392C22×C13—41no—
393C22×C13C2×C4×D411yescharacteristic
394C22×C13D4211yescharacteristic
395C22×C13#54611yescharacteristic
396C22×C13C2×#13711yescharacteristic
397C22×C13#57511yescharacteristic
398C22×C13#57611yescharacteristic
399C22×C13#57811yescharacteristic
400C2×D13—24no—
401C2×D13—42no—
402C2×D13—42no—
403C2×D13—42no—
404C2×D13—42no—
405C2×D13—42no—
406C2×D13—42no—
407C4×C13—22no—
408C4×C13—22no—
409C4×C13—42no—
410C4×C13—42no—
411C4×C13—41no—
412C4×C13—42no—
413C4×C13—41no—
414C4×C13—41no—
415C4×C13—81no—
416C4×C13C2×C4×D411yescharacteristic
417C4×C13#51811yescharacteristic
418C4×C13#54611yescharacteristic
419C4×C13#55111yescharacteristic
420Dic13—42no—
421Dic13—81no—
422Dic13—81no—
423C2×#41—134no—
424C2×#41—262no—
425C2×#41—262no—
426C2×#41—262no—
427C2×#41—521no—
428C2×#41—521no—
429C22×Q8—131no—
430C22×Q8C22×D1311yescharacteristic
431C22×D4—131no—
432C22×D4—261no—
433C23×C4—21no—
434C23×C4—261no—
435C23×C4—261no—
436C23×C4—261no—
437C23×C4C22×D1311yescharacteristic
438C2×Q16—134no—
439C2×Q16—521no—
440C2×Q16—521no—
441C2×SD16—134no—
442C2×SD16—262no—
443C2×SD16—262no—
444C2×M16—262no—
445C2×M16—262no—
446C2×M16—521no—
447C22×C8—131no—
448C22×C8—131no—
449C22×C8—131no—
450C22×C8—131no—
451C22⋊Q8—22no—
452C22⋊Q8C4×D1314yescomplemented
453C4×Q8—22no—
454C4×Q8—41no—
455C4×D4—262no—
456C4×D4—262no—
457C4×D4—521no—
458C4×D4—521no—
459C2×C4⋊C4—21no—
460C2×C4⋊C4—22no—
461C2×C4⋊C4—21no—
462C2×C4⋊C4—21no—
463C2×C4⋊C4—21no—
464C2×C4⋊C4—41no—
465C2×C4⋊C4—131no—
466C2×C4⋊C4—131no—
467C2×C4⋊C4C22×D1311yescharacteristic
468C2×C4⋊C4C22×D1311yescharacteristic
469C2×C4⋊C4C22×D1311yescharacteristic
470C2×C22⋊C4—21no—
471C2×C22⋊C4—261no—
472C2×C22⋊C4—261no—
473C2×C22⋊C4—261no—
474C2×C22⋊C4C22⋊D1311yescharacteristic
475C2×C22⋊C4C22⋊D1311yescharacteristic
476C2×C42—21no—
477C2×C42—21no—
478C2×C42C22×D1311yescharacteristic
479C2×C42C22×D1311yescharacteristic
480#107—262no—
481#107—521no—
482#103—134no—
483#103—262no—
484#103—262no—
485#103—262no—
486#103—521no—
487#102—134no—
488#102—134no—
489#102—262no—
490C22⋊C8—134no—
491#97—262no—
492C4×C8—521no—
493#95—21no—
494#95—21no—
495#95—21no—
496#95—21no—
497#95—261no—
498#95—261no—
499#95—261no—
500#95—261no—
501#95—261no—
502#95C22⋊D1311yescharacteristic
503#95C22⋊D1311yescharacteristic
504C2×C13—42no—
505C2×C13#235811yescharacteristic
506C2×C13C4×#13711yescharacteristic
507C2×C13#295111yescharacteristic
508C2×C13#327311yescharacteristic
509C2×C13#327611yescharacteristic
510C2×C13#331411yescharacteristic
511C2×C13#331511yescharacteristic
512D13—44no—
513C24—261no—
514C24C2×C22⋊D1311yescharacteristic
515#41—268no—
516#41—524no—
517#41—524no—
518#41—524no—
519C2×Q8—21no—
520C2×Q8—21no—
521C2×Q8—21no—
522C2×Q8—21no—
523C2×Q8—21no—
524C2×Q8—132no—
525C2×Q8—261no—
526C2×Q8—261no—
527C2×Q8—261no—
528C2×Q8—261no—
529C2×Q8—261no—
530C2×Q8C2×C4×D1312yes—
531C2×D4—132no—
532C2×D4—132no—
533C2×D4—132no—
534C2×D4—264no—
535C2×D4—261no—
536C2×D4—261no—
537C2×D4—261no—
538C2×D4—522no—
539C2×D4—522no—
540C22×C4—21no—
541C22×C4—21no—
542C22×C4—21no—
543C22×C4—21no—
544C22×C4—21no—
545C22×C4—21no—
546C22×C4—21no—
547C22×C4—21no—
548C22×C4—42no—
549C22×C4—42no—
550C22×C4—81no—
551C22×C4—261no—
552C22×C4—264no—
553C22×C4—261no—
554C22×C4—261no—
555C22×C4—522no—
556C22×C4—522no—
557C22×C4—522no—
558C22×C4—522no—
559C22×C4—522no—
560C22×C4—522no—
561C22×C4—1041no—
562C22×C4—1041no—
563C22×C4C2×C4×D1312yes—
564C22×C4#612712yes—
565C22×C4C2×C22⋊D1311yescharacteristic
566C22×C4C2×C22⋊D1311yescharacteristic
567C22×C4C2×C22⋊D1311yescharacteristic
568C22×C4C2×C22⋊D1311yescharacteristic
569C22×C4C2×C22⋊D1311yescharacteristic
570C22×C4C23×D1311yescharacteristic
571Q16—524no—
572SD16—268no—
573M16—524no—
574C2×C8—132no—
575C2×C8—132no—
576C2×C8—132no—
577C2×C8—261no—
578C2×C8—261no—
579C2×C8—261no—
580C2×C8—261no—
581C2×C8—261no—
582C2×C8—261no—
583C2×C8—261no—
584C2×C8—261no—
585C2×C8—261no—
586C4⋊C4—24no—
587C4⋊C4—21no—
588C4⋊C4—21no—
589C4⋊C4—21no—
590C4⋊C4—21no—
591C4⋊C4—42no—
592C4⋊C4—42no—
593C4⋊C4—81no—
594C4⋊C4—261no—
595C4⋊C4—261no—
596C4⋊C4—261no—
597C4⋊C4—261no—
598C4⋊C4C2×C4×D1312yes—
599C4⋊C4D4×D1312yes—
600C22⋊C4—24no—
601C22⋊C4—22no—
602C22⋊C4—41no—
603C22⋊C4—522no—
604C22⋊C4—522no—
605C22⋊C4—1041no—
606C42—21no—
607C42—21no—
608C42—21no—
609C42—21no—
610C42—42no—
611C42—81no—
612C13#2286211yescharacteristic, complemented, Sylow
613C23—21no—
614C23—21no—
615C23—21no—
616C23—21no—
617C23—21no—
618C23—21no—
619C23—262no—
620C23—262no—
621C23—262no—
622C23—521no—
623C23—521no—
624C23—521no—
625C23—521no—
626C23C4×C22⋊D1312yes—
627C23C22×C22⋊D1311yescharacteristic
628Q8—22no—
629Q8—22no—
630Q8—41no—
631Q8—41no—
632Q8—262no—
633Q8—262no—
634Q8—521no—
635Q8—521no—
636D4—134no—
637D4—262no—
638D4—262no—
639D4—262no—
640D4—528no—
641C2×C4—21no—
642C2×C4—21no—
643C2×C4—21no—
644C2×C4—21no—
645C2×C4—22no—
646C2×C4—22no—
647C2×C4—22no—
648C2×C4—22no—
649C2×C4—22no—
650C2×C4—22no—
651C2×C4—21no—
652C2×C4—21no—
653C2×C4—22no—
654C2×C4—21no—
655C2×C4—21no—
656C2×C4—21no—
657C2×C4—21no—
658C2×C4—21no—
659C2×C4—21no—
660C2×C4—21no—
661C2×C4—41no—
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—528no—
673C2×C4—521no—
674C2×C4—521no—
675C2×C4—521no—
676C2×C4—521no—
677C2×C4—521no—
678C2×C4—521no—
679C2×C4—521no—
680C2×C4—521no—
681C2×C4—1044no—
682C2×C4—1044no—
683C2×C4C4×C22⋊D1312yes—
684C2×C4#8819612yes—
685C2×C4C22×C4×D1311yescharacteristic
686C2×C4C2×#612711yescharacteristic
687C2×C4C2×D4×D1311yescharacteristic
688C2×C4#8825111yescharacteristic
689C2×C4#41×D1311yescharacteristic
690C2×C4#8825611yescharacteristic
691C8—262no—
692C8—262no—
693C8—262no—
694C8—521no—
695C22—22no—
696C22—22no—
697C22—22no—
698C22—41no—
699C22—41no—
700C22—41no—
701C22—41no—
702C22—264no—
703C22—522no—
704C22—522no—
705C22—522no—
706C22—522no—
707C22—522no—
708C22—522no—
709C22C2×C4×C22⋊D1311yescharacteristic
710C22D4×C22⋊D1311yescharacteristic
711C22C2×#8819611yescharacteristic
712C22#1171952711yescharacteristic
713C22#1171953411yescharacteristic
714C22#1171954011yescharacteristic
715C22#1171954311yescharacteristic
716C4—22no—
717C4—22no—
718C4—41no—
719C4—41no—
720C4—42no—
721C4—41no—
722C4—42no—
723C4—42no—
724C4—81no—
725C4—522no—
726C4—1041no—
727C4—1041no—
728C4C4×D4×D1311yescharacteristic
729C4#1171925011yescharacteristic
730C4#1171925511yescharacteristic
731C4#1171926111yescharacteristic
732C2—42no—
733C2—524no—
734C2#1311781311yescharacteristic
735C2C4×#8819611yescharacteristic
736C2#1312370911yescharacteristic
737C2#1312644311yescharacteristic
738C2#1312648211yescharacteristic
739C2#1312691111yescharacteristic
740C2#1312692611yescharacteristic
subgroupG/H
centerC23C22×C22⋊D13
commutatorC2×C4×C13C23×C4
FrattiniC22×C4C23×D13
FittingC13×#2360C2
socleC23×C13C22×D4
prime radicalC22×#6127C22
cosocleC22×C4×C13C24
hypercenter#2360D13
hypocenterC13#22862
LCSG ▷ C2×C4×C13 ▷ C2×C13 ▷ C13
UCSC1 ◁ C23 ◁ C4×C22⋊C4 ◁ #2360

Complements

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

NH ≅ G/Ntype
2. C2×#11718687C2semidirect
5. #13115696C2semidirect
6. #13115525C2semidirect
7. #13115477C2semidirect
8. #13115270C2semidirect
9. #13115177C2semidirect
10. #13115173C2semidirect
11. #13115082C2semidirect
12. #13115024C2semidirect
13. C4×#88049C2semidirect
14. #13114620C2semidirect
15. C13×#2360C2semidirect
37. #11718708C4semidirect
78. C13×C22⋊Q8C2×C4semidirect
100. C2×#6107C2×C4semidirect
103. C2×#6106C2×C4semidirect
132. C22⋊#1055C2×C4semidirect
135. #88050C2×C4semidirect
137. #88049C2×C4semidirect
246. #2360D13semidirect
452. C22⋊Q8C4×D13semidirect
612. C13#22862semidirect

Maximal subgroups

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

subgroupindex
C2×#117187082
C2×#117186872
C2×#117186272
#131176672
#131156962
#131155252
#131154772
#131152702
#131151772
#131151732
#131150822
#131150242
C4×#880492
#131146202
C13×#23602
#2286213