Finite Group Databasebeta

← #15883292

Subgroups — #15883292

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×#11718900C211yesmaximal, characteristic
2C2×#11718679C211yesmaximal, characteristic, complemented
3C2×#11718893C211yesmaximal, characteristic
4#13117839C211yesmaximal, characteristic, complemented
5#13115696C211yesmaximal, characteristic, complemented
6#13115529C211yesmaximal, characteristic, complemented
7#13115474C211yesmaximal, characteristic, complemented
8#13115267C211yesmaximal, characteristic, complemented
9#13115180C211yesmaximal, characteristic, complemented
10#13115170C211yesmaximal, characteristic, complemented
11#13115083C211yesmaximal, characteristic, complemented
12#13115023C211yesmaximal, characteristic, complemented
13C4×#88072C211yesmaximal, characteristic, complemented
14#13114620C211yesmaximal, characteristic, complemented
15C13×#2339C211yesmaximal, characteristic
16C22×C13×#41C2211yescharacteristic
17C2×C4×D4×C13C2211yescharacteristic
18C2×C4×D4×C13C2211yescharacteristic
19C22×#6107C2211yescharacteristic
20C22×#6105C2211yescharacteristic
21C22×C4⋊Dic13C2211yescharacteristic
22C2×#88178C2211yescharacteristic
23C22×#6099C2211yescharacteristic
24C2×C4×Dic26C2211yescharacteristic
25C13×#391C2211yescharacteristic
26C13×#391C2211yescharacteristic
27C13×#386—21no—
28C13×#386—21no—
29C13×#381—21no—
30C13×#380C2211yescharacteristic
31C4×C13×C22⋊C4C2211yescharacteristic
32C2×C13×#95—21no—
33#11718900C418yescomplemented
34#11718893—24no—
35C2×#88075C2211yescharacteristic
36C2×#88075C2211yescharacteristic
37C2×#88075C2211yescharacteristic
38C2×#88072C2211yescharacteristic
39C2×#88072C2211yescharacteristic
40C2×#88072C2211yescharacteristic
41C2×C22⋊#1055C2211yescharacteristic
42#11718679—24no—
43C2×#88050C2211yescharacteristic
44C2×#88050C2211yescharacteristic
45C2×#88047C2211yescharacteristic
46C2×#88047C2211yescharacteristic
47#11718607—21no—
48C22⋊C4×Dic13—21no—
49C4×C4⋊Dic13C2211yescharacteristic
50#11718590C2211yescharacteristic
51#11718589C2211yescharacteristic
52C2×#88043C2211yescharacteristic
53C2×C4×#1055C2211yescharacteristic
54#11718316—21no—
55#11718308—21no—
56#11718121C2211yescharacteristic
57#11718121C2211yescharacteristic
58#11718121C2211yescharacteristic
59#11718121C2211yescharacteristic
60#11718116C2211yescharacteristic
61#11718116C2211yescharacteristic
62C2×C13×#41—22no—
63C2×C13×#41—22no—
64C2×C13×#41—22no—
65C2×C13×#41—41no—
66C2×C13×#41—41no—
67C2×C13×#41C2×C414yes—
68C22×Q8×C13C2311yescharacteristic
69C22×D4×C13—21no—
70C22×D4×C13C2311yescharacteristic
71C23×C4×C13—21no—
72C23×C4×C13—21no—
73C23×C4×C13—21no—
74C23×C4×C13C2311yescharacteristic
75C23×Dic13—21no—
76C22×Dic26C2311yescharacteristic
77C4×D4×C13—22no—
78C4×D4×C13—22no—
79C4×D4×C13—41no—
80C4×D4×C13—41no—
81C2×C13×C4⋊C4C2311yescharacteristic
82C2×C13×C4⋊C4C2311yescharacteristic
83C2×C13×C22⋊C4—21no—
84C2×C13×C22⋊C4—21no—
85C2×C13×C22⋊C4—21no—
86C2×C13×C22⋊C4D411yescharacteristic
87C2×C13×C22⋊C4D411yescharacteristic
88C2×C42×C13C2311yescharacteristic
89C2×C42×C13C2311yescharacteristic
90C2×C22⋊Dic13—21no—
91C2×#6107—41no—
92C2×#6107—41no—
93C2×#6107C2×C414yescomplemented
94C2×#6105—22no—
95C2×#6105—22no—
96C2×#6105C2×C414yescomplemented
97C2×C4⋊Dic13—22no—
98C2×C4⋊Dic13—21no—
99C2×C4⋊Dic13—41no—
100C2×C4⋊Dic13C2311yescharacteristic
101C2×C4⋊Dic13C2311yescharacteristic
102C2×C4⋊Dic13C2311yescharacteristic
103#88178—22no—
104#88178C2×C414yescomplemented
105C2×#6101—21no—
106C2×#6101—21no—
107C2×#6101—21no—
108C2×C4×Dic13—21no—
109C2×C4×Dic13—21no—
110C2×#6099—22no—
111C2×#6099—22no—
112C2×#6099—41no—
113C22×#1055C2311yescharacteristic
114C22×#1055C2311yescharacteristic
115C22×#1055C2311yescharacteristic
116C22×#1055C2311yescharacteristic
117C4×Dic26—22no—
118C4×Dic26—41no—
119C13×#95—21no—
120C13×#95—21no—
121C13×#95—21no—
122C13×#95—21no—
123C13×#95—21no—
124C13×#95D411yescharacteristic
125C13×#95D411yescharacteristic
126#88075—22no—
127#88075—22no—
128#88075C2×C414yescomplemented
129#88072—22no—
130#88072C2×C414yescomplemented
131#88072D414yes—
132#88071—21no—
133#88071—21no—
134#88071—21no—
135#88071—21no—
136C22⋊#1055C2×C414yescomplemented
137#88050—22no—
138#88050—41no—
139#88047—22no—
140#88047—41no—
141#88043—22no—
142C4×#1055—41no—
143#22862—131nomaximal, Sylow
144C24×C13—21no—
145C24×C13C2×D411yescharacteristic
146C13×#41—28no—
147C13×#41—44no—
148C13×#41—44no—
149C13×#41—44no—
150C2×Q8×C13—21no—
151C2×Q8×C13—21no—
152C2×Q8×C13—21no—
153C2×Q8×C13—21no—
154C2×Q8×C13—21no—
155C2×Q8×C13C22×C412yes—
156C2×D4×C13—24no—
157C2×D4×C13—21no—
158C2×D4×C13—21no—
159C2×D4×C13—21no—
160C2×D4×C13—42no—
161C2×D4×C13—42no—
162C2×D4×C13C22×C412yes—
163C2×D4×C13C2×D412yes—
164C2×D4×C13#4112yes—
165C22×C4×C13—21no—
166C22×C4×C13—21no—
167C22×C4×C13—21no—
168C22×C4×C13—21no—
169C22×C4×C13—21no—
170C22×C4×C13—24no—
171C22×C4×C13—21no—
172C22×C4×C13—21no—
173C22×C4×C13—42no—
174C22×C4×C13—42no—
175C22×C4×C13—42no—
176C22×C4×C13—42no—
177C22×C4×C13—42no—
178C22×C4×C13—42no—
179C22×C4×C13—81no—
180C22×C4×C13—81no—
181C22×C4×C13C22×C412yes—
182C22×C4×C13C2×D411yescharacteristic
183C22×C4×C13C2×D411yescharacteristic
184C22×C4×C13C2×D411yescharacteristic
185C22×C4×C13C2×D411yescharacteristic
186C22×C4×C13C2×D411yescharacteristic
187C22×C4×C13#4112yes—
188C22×C4×C13C2411yescharacteristic
189C22×Dic13—21no—
190C22×Dic13—21no—
191C22×Dic13—21no—
192C22×Dic13—21no—
193C22×Dic13—42no—
194C22×Dic13—42no—
195C22×Dic13—81no—
196C2×Dic26—21no—
197C2×Dic26—21no—
198C2×Dic26—21no—
199C2×Dic26—21no—
200C2×Dic26—21no—
201C2×Dic26C22×C412yes—
202C13×C4⋊C4—21no—
203C13×C4⋊C4—21no—
204C13×C4⋊C4—21no—
205C13×C4⋊C4—21no—
206C13×C22⋊C4—22no—
207C13×C22⋊C4—41no—
208C13×C22⋊C4—42no—
209C13×C22⋊C4—42no—
210C13×C22⋊C4—81no—
211C42×C13—21no—
212C42×C13—21no—
213C42×C13—21no—
214C42×C13—21no—
215C22⋊Dic13—24no—
216#6107—44no—
217#6105—28no—
218C4⋊Dic13—21no—
219C4⋊Dic13—21no—
220C4⋊Dic13—21no—
221C4⋊Dic13—21no—
222C4⋊Dic13—42no—
223C4⋊Dic13C22×C412yes—
224C4⋊Dic13C2×D412yes—
225#6101—24no—
226#6101—42no—
227#6101—81no—
228C4×Dic13—42no—
229C4×Dic13—81no—
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#2360—131no—
247#2339D1311yescharacteristic
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—22no—
259C23×C13—22no—
260C23×C13—21no—
261C23×C13—22no—
262C23×C13—21no—
263C23×C13—21no—
264C23×C13—21no—
265C23×C13—21no—
266C23×C13—21no—
267C23×C13—41no—
268C23×C13—41no—
269C23×C13—41no—
270C23×C13—41no—
271C23×C13C4×D412yes—
272C23×C13C22×D411yescharacteristic
273Q8×C13—22no—
274Q8×C13—22no—
275Q8×C13—41no—
276Q8×C13—41no—
277D4×C13—22no—
278D4×C13—22no—
279D4×C13—22no—
280D4×C13—48no—
281D4×C13C4×D414yes—
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—21no—
298C2×C4×C13—21no—
299C2×C4×C13—21no—
300C2×C4×C13—48no—
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—41no—
308C2×C4×C13—41no—
309C2×C4×C13—84no—
310C2×C4×C13—84no—
311C2×C4×C13C4×D412yes—
312C2×C4×C13#13712yes—
313C2×C4×C13C23×C411yescharacteristic
314C2×C4×C13C22×D411yescharacteristic
315C2×C4×C13C2×#4111yescharacteristic
316C2×C4×C13C2×#4111yescharacteristic
317C2×C4×C13H(5,𝔽2)11yescharacteristic
318C2×C4×C13H(5,𝔽2)11yescharacteristic
319C2×Dic13—22no—
320C2×Dic13—22no—
321C2×Dic13—22no—
322C2×Dic13—41no—
323C2×Dic13—41no—
324C2×Dic13—41no—
325C2×Dic13—41no—
326C2×Dic13—41no—
327C2×Dic13—41no—
328C2×Dic13—41no—
329C2×Dic13—41no—
330C2×Dic13—41no—
331C2×Dic13—84no—
332Dic26—22no—
333Dic26—22no—
334Dic26—41no—
335Dic26—41no—
336#1055—22no—
337#1055—22no—
338#1055—22no—
339#1055—41no—
340C22×#41C2×D1311yescharacteristic
341C22×Q16—131no—
342C22×SD16—131no—
343C22×M16—131no—
344C2×C22⋊Q8—131no—
345C2×C4×Q8—131no—
346C2×C4×D4C2×D1311yescharacteristic
347C2×C4×D4C2×D1311yescharacteristic
348C22×C4⋊C4—131no—
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#391C2×D1311yescharacteristic
367#391C2×D1311yescharacteristic
368#389—131no—
369#389—261no—
370#387—261no—
371#386—21no—
372#386—21no—
373#385—261no—
374#381—21no—
375#380C2×D1311yescharacteristic
376C4×C4⋊C4—131no—
377C4×C22⋊C4—261no—
378C4×C22⋊C4C2×D1311yescharacteristic
379C2×#95—21no—
380#340—131no—
381#340—131no—
382#340—131no—
383#340—131no—
384#336—131no—
385#336—131no—
386C22×C13—22no—
387C22×C13—24no—
388C22×C13—22no—
389C22×C13—22no—
390C22×C13—42no—
391C22×C13—42no—
392C22×C13—41no—
393C22×C13—42no—
394C22×C13—41no—
395C22×C13—42no—
396C22×C13—42no—
397C22×C13—41no—
398C22×C13—41no—
399C22×C13—42no—
400C22×C13C2×C4×D411yescharacteristic
401C22×C13D4211yescharacteristic
402C22×C13#54611yescharacteristic
403C22×C13C2×#13711yescharacteristic
404C22×C13#57511yescharacteristic
405C22×C13#57611yescharacteristic
406C22×C13#57811yescharacteristic
407C4×C13—22no—
408C4×C13—22no—
409C4×C13—42no—
410C4×C13—41no—
411C4×C13—41no—
412C4×C13—41no—
413C4×C13—81no—
414C4×C13—81no—
415C4×C13C2×C4×D411yescharacteristic
416C4×C13#51811yescharacteristic
417C4×C13#54611yescharacteristic
418C4×C13#55111yescharacteristic
419Dic13—42no—
420Dic13—42no—
421Dic13—42no—
422Dic13—81no—
423C2×#41—22no—
424C2×#41—22no—
425C2×#41—22no—
426C2×#41—41no—
427C2×#41—41no—
428C2×#41C4×D1314yes—
429C22×Q8—131no—
430C22×Q8C22×D1311yescharacteristic
431C22×D4—21no—
432C22×D4C22×D1311yescharacteristic
433C23×C4—21no—
434C23×C4—21no—
435C23×C4—21no—
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—134no—
452C22⋊Q8—262no—
453C4×Q8—262no—
454C4×Q8—521no—
455C4×D4—22no—
456C4×D4—22no—
457C4×D4—41no—
458C4×D4—41no—
459C2×C4⋊C4—131no—
460C2×C4⋊C4—131no—
461C2×C4⋊C4—131no—
462C2×C4⋊C4—262no—
463C2×C4⋊C4—261no—
464C2×C4⋊C4—261no—
465C2×C4⋊C4—261no—
466C2×C4⋊C4—261no—
467C2×C4⋊C4—521no—
468C2×C4⋊C4C22×D1311yescharacteristic
469C2×C4⋊C4C22×D1311yescharacteristic
470C2×C22⋊C4—21no—
471C2×C22⋊C4—21no—
472C2×C22⋊C4—21no—
473C2×C22⋊C4—261no—
474C2×C22⋊C4C22⋊D1311yescharacteristic
475C2×C22⋊C4C22⋊D1311yescharacteristic
476C2×C42—261no—
477C2×C42—261no—
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—21no—
498#95—261no—
499#95—261no—
500#95—261no—
501#95—261no—
502#95C22⋊D1311yescharacteristic
503#95C22⋊D1311yescharacteristic
504C2×C13—42no—
505C2×C13—44no—
506C2×C13#235811yescharacteristic
507C2×C13C4×#13711yescharacteristic
508C2×C13#295111yescharacteristic
509C2×C13#327311yescharacteristic
510C2×C13#327611yescharacteristic
511C2×C13#331411yescharacteristic
512C2×C13#331511yescharacteristic
513C24—21no—
514C24C2×C22⋊D1311yescharacteristic
515#41—28no—
516#41—44no—
517#41—44no—
518#41—44no—
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—24no—
532C2×D4—21no—
533C2×D4—21no—
534C2×D4—21no—
535C2×D4—42no—
536C2×D4—42no—
537C2×D4C2×C4×D1312yes—
538C2×D4D4×D1312yes—
539C2×D4#612912yes—
540C22×C4—21no—
541C22×C4—21no—
542C22×C4—21no—
543C22×C4—21no—
544C22×C4—21no—
545C22×C4—24no—
546C22×C4—21no—
547C22×C4—21no—
548C22×C4—42no—
549C22×C4—42no—
550C22×C4—42no—
551C22×C4—42no—
552C22×C4—42no—
553C22×C4—42no—
554C22×C4—81no—
555C22×C4—81no—
556C22×C4—261no—
557C22×C4—261no—
558C22×C4—261no—
559C22×C4—261no—
560C22×C4—522no—
561C22×C4—522no—
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—21no—
587C4⋊C4—21no—
588C4⋊C4—21no—
589C4⋊C4—21no—
590C4⋊C4—132no—
591C4⋊C4—132no—
592C4⋊C4—264no—
593C4⋊C4—261no—
594C4⋊C4—261no—
595C4⋊C4—261no—
596C4⋊C4—261no—
597C4⋊C4—522no—
598C4⋊C4—522no—
599C4⋊C4—1041no—
600C22⋊C4—22no—
601C22⋊C4—41no—
602C22⋊C4—42no—
603C22⋊C4—42no—
604C22⋊C4—81no—
605C22⋊C4—264no—
606C42—21no—
607C42—21no—
608C42—21no—
609C42—21no—
610C42—522no—
611C42—1041no—
612C13#2286211yescharacteristic, complemented, Sylow
613C23—22no—
614C23—22no—
615C23—21no—
616C23—22no—
617C23—21no—
618C23—21no—
619C23—21no—
620C23—21no—
621C23—21no—
622C23—41no—
623C23—41no—
624C23—41no—
625C23—41no—
626C23C4×C22⋊D1312yes—
627C23C22×C22⋊D1311yescharacteristic
628Q8—22no—
629Q8—22no—
630Q8—41no—
631Q8—41no—
632Q8—262no—
633Q8—262no—
634Q8—521no—
635Q8—521no—
636D4—22no—
637D4—22no—
638D4—22no—
639D4—48no—
640D4#8813514yes—
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—21no—
651C2×C4—21no—
652C2×C4—21no—
653C2×C4—21no—
654C2×C4—21no—
655C2×C4—21no—
656C2×C4—21no—
657C2×C4—21no—
658C2×C4—21no—
659C2×C4—48no—
660C2×C4—41no—
661C2×C4—41no—
662C2×C4—41no—
663C2×C4—41no—
664C2×C4—41no—
665C2×C4—41no—
666C2×C4—41no—
667C2×C4—41no—
668C2×C4—84no—
669C2×C4—84no—
670C2×C4—262no—
671C2×C4—262no—
672C2×C4—262no—
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—521no—
682C2×C4—1044no—
683C2×C4C4×C22⋊D1312yes—
684C2×C4#8820512yes—
685C2×C4C22×C4×D1311yescharacteristic
686C2×C4C2×#612711yescharacteristic
687C2×C4C2×D4×D1311yescharacteristic
688C2×C4C2×#612911yescharacteristic
689C2×C4#8825111yescharacteristic
690C2×C4#8825111yescharacteristic
691C8—262no—
692C8—262no—
693C8—262no—
694C8—521no—
695C22—22no—
696C22—22no—
697C22—24no—
698C22—22no—
699C22—42no—
700C22—41no—
701C22—41no—
702C22—42no—
703C22—42no—
704C22—41no—
705C22—42no—
706C22—41no—
707C22—42no—
708C22—42no—
709C22C2×C4×C22⋊D1311yescharacteristic
710C22D4×C22⋊D1311yescharacteristic
711C22#1171951111yescharacteristic
712C22#1171952711yescharacteristic
713C22C2×#8820511yescharacteristic
714C22#1171954011yescharacteristic
715C22#1171954311yescharacteristic
716C4—22no—
717C4—22no—
718C4—41no—
719C4—41no—
720C4—41no—
721C4—42no—
722C4—81no—
723C4—81no—
724C4—522no—
725C4—522no—
726C4—522no—
727C4—1041no—
728C4C2×#8813511yescharacteristic
729C4#1171919111yescharacteristic
730C4#1171919511yescharacteristic
731C4#1171920011yescharacteristic
732C2—42no—
733C2—44no—
734C2#1311781511yescharacteristic
735C2C4×#8820511yescharacteristic
736C2#1312370911yescharacteristic
737C2#1312644311yescharacteristic
738C2#1312647811yescharacteristic
739C2#1312691711yescharacteristic
740C2#1312693211yescharacteristic
subgroupG/H
centerC23C22×C22⋊D13
commutatorC2×C4×C13C23×C4
FrattiniC22×C4C23×D13
FittingC13×#2339C2
socleC23×C13C22×D4
prime radicalC22×C13×#41C22
cosocleC22×C4×C13C24
hypercenter#2339D13
hypocenterC13#22862
LCSG ▷ C2×C4×C13 ▷ C2×C13 ▷ C13
UCSC1 ◁ C23 ◁ C4×C22⋊C4 ◁ #2339

Complements

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

NH ≅ G/Ntype
2. C2×#11718679C2semidirect
4. #13117839C2semidirect
5. #13115696C2semidirect
6. #13115529C2semidirect
7. #13115474C2semidirect
8. #13115267C2semidirect
9. #13115180C2semidirect
10. #13115170C2semidirect
11. #13115083C2semidirect
12. #13115023C2semidirect
13. C4×#88072C2semidirect
14. #13114620C2semidirect
33. #11718900C4semidirect
93. C2×#6107C2×C4semidirect
96. C2×#6105C2×C4semidirect
104. #88178C2×C4semidirect
128. #88075C2×C4semidirect
130. #88072C2×C4semidirect
136. C22⋊#1055C2×C4semidirect
612. C13#22862semidirect

Maximal subgroups

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

subgroupindex
C2×#117189002
C2×#117186792
C2×#117188932
#131178392
#131156962
#131155292
#131154742
#131152672
#131151802
#131151702
#131150832
#131150232
C4×#880722
#131146202
C13×#23392
#2286213