Finite Group Databasebeta

← #15883637

Subgroups — #15883637

Order 3328.

1114 conjugacy classes of subgroups.

The subgroup lattice has 740 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#11718888C211yesmaximal, characteristic
2C2×C4×#6106C211yesmaximal, characteristic, complemented
3C2×#11718886C211yesmaximal, characteristic, complemented
4#13117872C211yesmaximal, characteristic
5#13115720C211yesmaximal, characteristic, complemented
6#13115515C211yesmaximal, characteristic, complemented
7#13115467C211yesmaximal, characteristic, complemented
8#13115272C211yesmaximal, characteristic
9#13115191C211yesmaximal, characteristic, complemented
10#13115173C211yesmaximal, characteristic, complemented
11#13115090C211yesmaximal, characteristic, complemented
12#13115033C211yesmaximal, characteristic, complemented
13#13114666C211yesmaximal, characteristic, complemented
14#13114620C211yesmaximal, characteristic, complemented
15Q8×C13×C22⋊C4C211yesmaximal, characteristic, complemented
16C23×Q8×C13C2211yescharacteristic
17C2×C4×Q8×C13C2211yescharacteristic
18C2×C4×Q8×C13C2211yescharacteristic
19C22×#6106C2211yescharacteristic
20C22×#6106C2211yescharacteristic
21C2×#88184C2211yescharacteristic
22C2×#88180C2211yescharacteristic
23C22×#6099C2211yescharacteristic
24C2×C4×D52C2211yescharacteristic
25C13×#391—21no—
26C13×#391—21no—
27C13×#391C2211yescharacteristic
28C13×#391C2211yescharacteristic
29C13×#380—21no—
30C13×#380C2211yescharacteristic
31C4×C13×C22⋊C4—21no—
32C4×C13×C22⋊C4C2211yescharacteristic
33#11718888C418yescomplemented
34#11718886—24no—
35C2×#88075C2211yescharacteristic
36C2×#88075C2211yescharacteristic
37C2×#88075C2211yescharacteristic
38C2×#88075C2211yescharacteristic
39C2×#88075C2211yescharacteristic
40C2×#88075C2211yescharacteristic
41C2×C22⋊#1055C2211yescharacteristic
42C4×#6106—24no—
43C2×#88049C2211yescharacteristic
44C2×#88049C2211yescharacteristic
45C2×#88048C2211yescharacteristic
46C2×#88047C2211yescharacteristic
47#11718618—21no—
48#11718617—21no—
49#11718600C2211yescharacteristic
50C4×C4⋊Dic13C2211yescharacteristic
51#11718589C2211yescharacteristic
52C2×#88043C2211yescharacteristic
53C2×C4×#1055C2211yescharacteristic
54#11718330—21no—
55#11718327—21no—
56#11718121C2211yescharacteristic
57#11718121C2211yescharacteristic
58#11718121C2211yescharacteristic
59#11718121C2211yescharacteristic
60#11718116C2211yescharacteristic
61#11718116C2211yescharacteristic
62C22×Q8×C13—21no—
63C22×Q8×C13—22no—
64C22×Q8×C13—22no—
65C22×Q8×C13—22no—
66C22×Q8×C13—41no—
67C22×Q8×C13—41no—
68C22×Q8×C13C2×C414yescomplemented
69C22×Q8×C13C2311yescharacteristic
70C22×Q8×C13C2311yescharacteristic
71C23×C4×C13—21no—
72C23×C4×C13C2311yescharacteristic
73C22×C22⋊D13—21no—
74C22×D52C2311yescharacteristic
75C22×C4×D13—21no—
76C4×Q8×C13—22no—
77C4×Q8×C13—22no—
78C4×Q8×C13—41no—
79C4×Q8×C13—41no—
80C2×C13×C4⋊C4—21no—
81C2×C13×C4⋊C4—21no—
82C2×C13×C4⋊C4C2311yescharacteristic
83C2×C13×C4⋊C4C2311yescharacteristic
84C2×C13×C22⋊C4—21no—
85C2×C13×C22⋊C4D411yescharacteristic
86C2×C13×C22⋊C4D411yescharacteristic
87C2×C42×C13—21no—
88C2×C42×C13—21no—
89C2×C42×C13C2311yescharacteristic
90C2×C42×C13C2311yescharacteristic
91C2×C22⋊Dic13—21no—
92C2×#6106—22no—
93C2×#6106—22no—
94C2×#6106—41no—
95C2×#6106—41no—
96C2×#6106C2×C414yes—
97C2×#6106C2×C414yes—
98#88184—22no—
99#88184C2×C414yes—
100C2×#6103—21no—
101C2×#6103—21no—
102C2×#6103—21no—
103C2×#6103—21no—
104#88180—22no—
105#88180—41no—
106C2×C4⋊Dic13C2311yescharacteristic
107C2×C4⋊Dic13C2311yescharacteristic
108C2×C4⋊Dic13C2311yescharacteristic
109C2×#6101—21no—
110C2×C4×Dic13—21no—
111C2×C4×Dic13—21no—
112C2×#6099—22no—
113C2×#6099—22no—
114C2×#6099—41no—
115C22×#1055C2311yescharacteristic
116C22×#1055C2311yescharacteristic
117C22×#1055C2311yescharacteristic
118C22×#1055C2311yescharacteristic
119C4×D52—22no—
120C4×D52—41no—
121C13×#95—21no—
122C13×#95—21no—
123C13×#95—21no—
124C13×#95—21no—
125C13×#95—21no—
126C13×#95D411yescharacteristic
127C13×#95D411yescharacteristic
128#88075—22no—
129#88075—22no—
130#88075—22no—
131#88075C2×C414yescomplemented
132#88075C2×C414yescomplemented
133#88075D414yescomplemented
134#88071—21no—
135#88071—21no—
136C22⋊#1055C2×C414yescomplemented
137#88049—22no—
138#88049—41no—
139#88048—22no—
140#88047—41no—
141#88043—41no—
142C4×#1055—22no—
143#22885—131nomaximal, Sylow
144C24×C13C2×D411yescharacteristic
145C23×D13—21no—
146C2×Q8×C13—24no—
147C2×Q8×C13—21no—
148C2×Q8×C13—21no—
149C2×Q8×C13—21no—
150C2×Q8×C13—21no—
151C2×Q8×C13—28no—
152C2×Q8×C13—21no—
153C2×Q8×C13—21no—
154C2×Q8×C13—21no—
155C2×Q8×C13—21no—
156C2×Q8×C13—42no—
157C2×Q8×C13—42no—
158C2×Q8×C13—44no—
159C2×Q8×C13—44no—
160C2×Q8×C13—44no—
161C2×Q8×C13C22×C412yes—
162C2×Q8×C13C22×C412yes—
163C2×Q8×C13C2×D412yes—
164C2×Q8×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—21no—
174C22×C4×C13—42no—
175C22×C4×C13—42no—
176C22×C4×C13C22×C412yes—
177C22×C4×C13C2×D411yescharacteristic
178C22×C4×C13C2×D411yescharacteristic
179C22×C4×C13C2×D411yescharacteristic
180C22×C4×C13C2×D411yescharacteristic
181C22×C4×C13C2×D411yescharacteristic
182C22×C4×C13#4112yes—
183C22×C4×C13C2411yescharacteristic
184C2×C22⋊D13—24no—
185C2×C22⋊D13—81no—
186C2×C22⋊D13—81no—
187C22×Dic13—21no—
188C22×Dic13—21no—
189C22×Dic13—21no—
190C2×D52—21no—
191C2×D52—21no—
192C2×D52—21no—
193C2×D52—21no—
194C2×D52—21no—
195C2×D52C22×C412yes—
196C2×C4×D13—42no—
197C2×C4×D13—42no—
198C2×C4×D13—81no—
199C13×C4⋊C4—21no—
200C13×C4⋊C4—21no—
201C13×C4⋊C4—21no—
202C13×C4⋊C4—21no—
203C13×C4⋊C4—42no—
204C13×C4⋊C4—42no—
205C13×C22⋊C4—22no—
206C13×C22⋊C4—41no—
207C13×C22⋊C4—42no—
208C42×C13—21no—
209C42×C13—21no—
210C42×C13—21no—
211C42×C13—21no—
212C42×C13—42no—
213C42×C13—42no—
214C22⋊Dic13—42no—
215#6106—28no—
216#6106—44no—
217#6103—24no—
218#6103—42no—
219#6103—42no—
220#6103—81no—
221C4⋊Dic13—21no—
222C4⋊Dic13—21no—
223C4⋊Dic13—21no—
224C4⋊Dic13—21no—
225C4⋊Dic13C22×C412yes—
226C4⋊Dic13C2×D412yes—
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×#448—131no—
244C2×C4×SD16—131no—
245C2×#419—131no—
246#2363—131no—
247Q8×C22⋊C4D1311yescharacteristic, complemented
248#1973—131no—
249#1933—131no—
250#1927—131no—
251#1895—131no—
252#1880—131no—
253#1877—131no—
254#1863—131no—
255#1854—131no—
256#1763—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—41no—
268C22×D13—41no—
269C22×D13—41no—
270C22×D13—41no—
271C22×D13—41no—
272C22×D13—41no—
273Q8×C13—22no—
274Q8×C13—22no—
275Q8×C13—22no—
276Q8×C13—22no—
277Q8×C13—22no—
278Q8×C13—48no—
279Q8×C13—41no—
280Q8×C13—41no—
281Q8×C13C4×D414yes—
282C2×C4×C13—22no—
283C2×C4×C13—21no—
284C2×C4×C13—21no—
285C2×C4×C13—22no—
286C2×C4×C13—22no—
287C2×C4×C13—21no—
288C2×C4×C13—21no—
289C2×C4×C13—22no—
290C2×C4×C13—22no—
291C2×C4×C13—22no—
292C2×C4×C13—22no—
293C2×C4×C13—22no—
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—21no—
301C2×C4×C13—21no—
302C2×C4×C13—21no—
303C2×C4×C13—48no—
304C2×C4×C13—41no—
305C2×C4×C13—41no—
306C2×C4×C13—41no—
307C2×C4×C13—41no—
308C2×C4×C13—41no—
309C2×C4×C13—41no—
310C2×C4×C13—41no—
311C2×C4×C13—41no—
312C2×C4×C13C4×D412yes—
313C2×C4×C13#13712yes—
314C2×C4×C13C23×C411yescharacteristic
315C2×C4×C13C22×D411yescharacteristic
316C2×C4×C13C2×#4111yescharacteristic
317C2×C4×C13C2×#4111yescharacteristic
318C2×C4×C13H(5,𝔽2)11yescharacteristic
319C2×C4×C13H(5,𝔽2)11yescharacteristic
320C22⋊D13—84no—
321C2×Dic13—22no—
322C2×Dic13—22no—
323C2×Dic13—41no—
324C2×Dic13—41no—
325C2×Dic13—41no—
326C2×Dic13—41no—
327C2×Dic13—41no—
328C2×Dic13—41no—
329C2×Dic13—41no—
330D52—22no—
331D52—22no—
332D52—41no—
333D52—41no—
334C4×D13—84no—
335#1055—22no—
336#1055—22no—
337#1055—22no—
338#1055—41no—
339C23×Q8C2×D1311yescharacteristic
340C22×SD16—131no—
341C22×SD16—131no—
342C22×M16—131no—
343C2×#121—131no—
344C2×C4×Q8C2×D1311yescharacteristic
345C2×C4×Q8C2×D1311yescharacteristic
346C2×C4×D4—131no—
347C2×#117—131no—
348#448—138no—
349C4×SD16—264no—
350C2×#107—131no—
351C2×#106—131no—
352#419—264no—
353C2×#103—131no—
354C2×#103—131no—
355C2×#103—131no—
356C2×#103—131no—
357C2×#103—131no—
358C2×#103—131no—
359C2×#102—131no—
360C2×#102—131no—
361C2×C22⋊C8—131no—
362C2×#97—131no—
363C2×C4×C8—131no—
364#391—21no—
365#391—21no—
366#391C2×D1311yescharacteristic
367#391C2×D1311yescharacteristic
368#390—131no—
369#390—261no—
370#389—131no—
371#388—261no—
372#386—261no—
373#380—21no—
374#380C2×D1311yescharacteristic
375C4×C4⋊C4—131no—
376C4×C22⋊C4—21no—
377C4×C22⋊C4—261no—
378C4×C22⋊C4C2×D1311yescharacteristic
379#340—131no—
380#340—131no—
381#340—131no—
382#340—131no—
383#336—131no—
384#336—131no—
385C22×C13—22no—
386C22×C13—22no—
387C22×C13—22no—
388C22×C13—41no—
389C22×C13—41no—
390C22×C13—41no—
391C22×C13—41no—
392C22×C13C2×C4×D411yescharacteristic
393C22×C13D4211yescharacteristic
394C22×C13#54611yescharacteristic
395C22×C13C2×#13711yescharacteristic
396C22×C13#57511yescharacteristic
397C22×C13#57711yescharacteristic
398C22×C13#57711yescharacteristic
399C2×D13—42no—
400C2×D13—42no—
401C2×D13—42no—
402C2×D13—81no—
403C2×D13—81no—
404C2×D13—81no—
405C2×D13—81no—
406C4×C13—22no—
407C4×C13—24no—
408C4×C13—22no—
409C4×C13—41no—
410C4×C13—42no—
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—81no—
422C22×Q8—22no—
423C22×Q8—21no—
424C22×Q8—22no—
425C22×Q8—22no—
426C22×Q8—41no—
427C22×Q8—41no—
428C22×Q8C4×D1314yescomplemented
429C22×Q8C22×D1311yescharacteristic
430C22×Q8C22×D1311yescharacteristic
431C22×D4—131no—
432C22×D4—261no—
433C23×C4—21no—
434C23×C4—261no—
435C23×C4C22×D1311yescharacteristic
436C2×SD16—134no—
437C2×SD16—134no—
438C2×SD16—262no—
439C2×SD16—262no—
440C2×SD16—521no—
441C2×SD16—521no—
442C2×M16—262no—
443C2×M16—262no—
444C2×M16—521no—
445C22×C8—131no—
446C22×C8—131no—
447C22×C8—131no—
448C22×C8—131no—
449#121—134no—
450#121—262no—
451C4×Q8—22no—
452C4×Q8—22no—
453C4×Q8—41no—
454C4×Q8—41no—
455C4×D4—262no—
456C4×D4—521no—
457#117—262no—
458#117—521no—
459C2×C4⋊C4—21no—
460C2×C4⋊C4—21no—
461C2×C4⋊C4—131no—
462C2×C4⋊C4—131no—
463C2×C4⋊C4—131no—
464C2×C4⋊C4—261no—
465C2×C4⋊C4C22×D1311yescharacteristic
466C2×C4⋊C4C22×D1311yescharacteristic
467C2×C22⋊C4—21no—
468C2×C22⋊C4—261no—
469C2×C22⋊C4—261no—
470C2×C22⋊C4—261no—
471C2×C22⋊C4—261no—
472C2×C22⋊C4—261no—
473C2×C22⋊C4C22⋊D1311yescharacteristic
474C2×C22⋊C4C22⋊D1311yescharacteristic
475C2×C42—21no—
476C2×C42—21no—
477C2×C42—261no—
478C2×C42—261no—
479C2×C42C22×D1311yescharacteristic
480C2×C42C22×D1311yescharacteristic
481#107—521no—
482#106—262no—
483#103—134no—
484#103—134no—
485#103—134no—
486#103—262no—
487#103—262no—
488#103—262no—
489#102—262no—
490#102—521no—
491C22⋊C8—134no—
492#97—521no—
493C4×C8—262no—
494#95—21no—
495#95—21no—
496#95—21no—
497#95—21no—
498#95—21no—
499#95—261no—
500#95—261no—
501#95C22⋊D1311yescharacteristic
502#95C22⋊D1311yescharacteristic
503C2×C13—42no—
504C2×C13#235811yescharacteristic
505C2×C13C4×#13711yescharacteristic
506C2×C13#294911yescharacteristic
507C2×C13#326611yescharacteristic
508C2×C13#327111yescharacteristic
509C2×C13#332611yescharacteristic
510C2×C13#332911yescharacteristic
511D13—82no—
512C24—261no—
513C24C2×C22⋊D1311yescharacteristic
514C2×Q8—24no—
515C2×Q8—21no—
516C2×Q8—21no—
517C2×Q8—21no—
518C2×Q8—21no—
519C2×Q8—28no—
520C2×Q8—21no—
521C2×Q8—21no—
522C2×Q8—21no—
523C2×Q8—21no—
524C2×Q8—42no—
525C2×Q8—42no—
526C2×Q8—44no—
527C2×Q8—44no—
528C2×Q8—44no—
529C2×Q8C2×C4×D1312yes—
530C2×Q8C2×C4×D1312yes—
531C2×Q8D4×D1312yes—
532C2×Q8#612912yes—
533C2×D4—132no—
534C2×D4—264no—
535C2×D4—261no—
536C2×D4—261no—
537C2×D4—261no—
538C2×D4—261no—
539C2×D4—261no—
540C2×D4—1041no—
541C2×D4—1041no—
542C22×C4—21no—
543C22×C4—21no—
544C22×C4—21no—
545C22×C4—21no—
546C22×C4—21no—
547C22×C4—24no—
548C22×C4—21no—
549C22×C4—21no—
550C22×C4—21no—
551C22×C4—42no—
552C22×C4—42no—
553C22×C4—261no—
554C22×C4—261no—
555C22×C4—261no—
556C22×C4—522no—
557C22×C4—522no—
558C22×C4—1041no—
559C22×C4C2×C4×D1312yes—
560C22×C4#612712yes—
561C22×C4C2×C22⋊D1311yescharacteristic
562C22×C4C2×C22⋊D1311yescharacteristic
563C22×C4C2×C22⋊D1311yescharacteristic
564C22×C4C2×C22⋊D1311yescharacteristic
565C22×C4C2×C22⋊D1311yescharacteristic
566C22×C4C23×D1311yescharacteristic
567SD16—268no—
568SD16—524no—
569M16—524no—
570C2×C8—132no—
571C2×C8—132no—
572C2×C8—132no—
573C2×C8—261no—
574C2×C8—261no—
575C2×C8—261no—
576C2×C8—261no—
577C2×C8—261no—
578C2×C8—261no—
579C2×C8—261no—
580C2×C8—261no—
581C2×C8—261no—
582C4⋊C4—21no—
583C4⋊C4—21no—
584C4⋊C4—21no—
585C4⋊C4—21no—
586C4⋊C4—42no—
587C4⋊C4—42no—
588C4⋊C4—132no—
589C4⋊C4—132no—
590C4⋊C4—261no—
591C4⋊C4—261no—
592C4⋊C4—261no—
593C4⋊C4—261no—
594C4⋊C4—1041no—
595C22⋊C4—22no—
596C22⋊C4—41no—
597C22⋊C4—42no—
598C22⋊C4—264no—
599C22⋊C4—522no—
600C22⋊C4—522no—
601C22⋊C4—522no—
602C22⋊C4—1041no—
603C42—21no—
604C42—21no—
605C42—21no—
606C42—21no—
607C42—42no—
608C42—42no—
609C42—522no—
610C42—1041no—
611C13#2288511yescharacteristic, complemented, Sylow
612C23—21no—
613C23—21no—
614C23—21no—
615C23—21no—
616C23—21no—
617C23—21no—
618C23—262no—
619C23—521no—
620C23—521no—
621C23—521no—
622C23—521no—
623C23—521no—
624C23—521no—
625C23C4×C22⋊D1312yes—
626C23C22×C22⋊D1311yescharacteristic
627Q8—22no—
628Q8—22no—
629Q8—22no—
630Q8—22no—
631Q8—22no—
632Q8—48no—
633Q8—41no—
634Q8—41no—
635Q8#8813514yes—
636D4—262no—
637D4—262no—
638D4—521no—
639D4—521no—
640D4—1044no—
641C2×C4—22no—
642C2×C4—21no—
643C2×C4—22no—
644C2×C4—21no—
645C2×C4—22no—
646C2×C4—21no—
647C2×C4—21no—
648C2×C4—22no—
649C2×C4—22no—
650C2×C4—22no—
651C2×C4—22no—
652C2×C4—22no—
653C2×C4—21no—
654C2×C4—21no—
655C2×C4—21no—
656C2×C4—21no—
657C2×C4—21no—
658C2×C4—21no—
659C2×C4—21no—
660C2×C4—21no—
661C2×C4—21no—
662C2×C4—48no—
663C2×C4—41no—
664C2×C4—41no—
665C2×C4—41no—
666C2×C4—41no—
667C2×C4—41no—
668C2×C4—41no—
669C2×C4—41no—
670C2×C4—41no—
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—1044no—
681C2×C4C4×C22⋊D1312yes—
682C2×C4#8819612yes—
683C2×C4C22×C4×D1311yescharacteristic
684C2×C4C2×#612711yescharacteristic
685C2×C4C2×D4×D1311yescharacteristic
686C2×C4C2×#612911yescharacteristic
687C2×C4#8825111yescharacteristic
688C2×C4#8825111yescharacteristic
689C8—262no—
690C8—262no—
691C8—262no—
692C8—521no—
693C22—22no—
694C22—22no—
695C22—22no—
696C22—41no—
697C22—41no—
698C22—41no—
699C22—41no—
700C22—522no—
701C22—522no—
702C22—522no—
703C22—1041no—
704C22—1041no—
705C22—1041no—
706C22—1041no—
707C22C2×C4×C22⋊D1311yescharacteristic
708C22D4×C22⋊D1311yescharacteristic
709C22#1171951111yescharacteristic
710C22C2×#8819611yescharacteristic
711C22#1171952711yescharacteristic
712C22#1171954211yescharacteristic
713C22#1171954211yescharacteristic
714C4—22no—
715C4—24no—
716C4—22no—
717C4—41no—
718C4—42no—
719C4—41no—
720C4—41no—
721C4—81no—
722C4—81no—
723C4—522no—
724C4—522no—
725C4—1041no—
726C4C2×#8813511yescharacteristic
727C4#1171919111yescharacteristic
728C4#1171919511yescharacteristic
729C4#1171920011yescharacteristic
730C2—42no—
731C2—1042no—
732C2#1311781511yescharacteristic
733C2C4×#8819611yescharacteristic
734C2#1312369511yescharacteristic
735C2#1312634711yescharacteristic
736C2#1312642211yescharacteristic
737C2#1312708911yescharacteristic
738C2#1312713011yescharacteristic
subgroupG/H
centerC23C22×C22⋊D13
commutatorC2×C4×C13C23×C4
FrattiniC22×C4C23×D13
FittingQ8×C13×C22⋊C4C2
socleC23×C13C22×D4
prime radicalC2×#88184C22
cosocleC22×C4×C13C24
hypercenterQ8×C22⋊C4D13
hypocenterC13#22885
LCSG ▷ C2×C4×C13 ▷ C2×C13 ▷ C13
UCSC1 ◁ C23 ◁ C4×C22⋊C4 ◁ Q8×C22⋊C4

Complements

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

NH ≅ G/Ntype
2. C2×C4×#6106C2semidirect
3. C2×#11718886C2semidirect
5. #13115720C2semidirect
6. #13115515C2semidirect
7. #13115467C2semidirect
9. #13115191C2semidirect
10. #13115173C2semidirect
11. #13115090C2semidirect
12. #13115033C2semidirect
13. #13114666C2semidirect
14. #13114620C2semidirect
15. Q8×C13×C22⋊C4C2semidirect
33. #11718888C4semidirect
68. C22×Q8×C13C2×C4semidirect
131. #88075C2×C4semidirect
132. #88075C2×C4semidirect
133. #88075D4semidirect
136. C22⋊#1055C2×C4semidirect
247. Q8×C22⋊C4D13semidirect
428. C22×Q8C4×D13semidirect
611. C13#22885semidirect

Maximal subgroups

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

subgroupindex
C2×#117188882
C2×C4×#61062
C2×#117188862
#131178722
#131157202
#131155152
#131154672
#131152722
#131151912
#131151732
#131150902
#131150332
#131146662
#131146202
Q8×C13×C22⋊C42
#2288513