Finite Group Databasebeta

← #15770898

Subgroups — #15770898

Order 3328.

886 conjugacy classes of subgroups.

The subgroup lattice has 660 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#88047C211yesmaximal, characteristic
2C2×#11718121C211yesmaximal, characteristic
3C2×#11718121C211yesmaximal, characteristic
4C2×#11718121C211yesmaximal, characteristic
5C2×#11718116C211yesmaximal, characteristic
6#13113066C211yesmaximal, characteristic
7C2×C13×#389C211yesmaximal, characteristic
8C22×C13×C4⋊C4—21no—
9C22×C13×C4⋊C4C2211yescharacteristic
10C22×C13×C4⋊C4C2211yescharacteristic
11C22×C42×C13C2211yescharacteristic
12C22×C4⋊Dic13C2211yescharacteristic
13C22×C4⋊Dic13C2211yescharacteristic
14C23×#1055C2211yescharacteristic
15C23×#1055C2211yescharacteristic
16C13×#389—22no—
17C13×#389—22no—
18C2×C13×#95—21no—
19C2×#88071—21no—
20C2×#88071—21no—
21C2×#88047—22no—
22C2×#88047—22no—
23C2×#88047C414yescomplemented
24#11718121—22no—
25#11718121—22no—
26#11718121—22no—
27#11718116—22no—
28C23×C4×C13—21no—
29C23×C4×C13—21no—
30C23×C4×C13D411yescharacteristic
31C23×C4×C13D411yescharacteristic
32C23×C4×C13C2311yescharacteristic
33C23×Dic13—21no—
34C23×Dic13—21no—
35C2×C13×C4⋊C4—21no—
36C2×C13×C4⋊C4—21no—
37C2×C13×C4⋊C4—21no—
38C2×C13×C4⋊C4—21no—
39C2×C13×C4⋊C4—21no—
40C2×C13×C4⋊C4—21no—
41C2×C13×C4⋊C4—21no—
42C2×C13×C4⋊C4—24no—
43C2×C13×C4⋊C4—21no—
44C2×C13×C4⋊C4—42no—
45C2×C13×C4⋊C4—42no—
46C2×C13×C4⋊C4C2×C412yes—
47C2×C13×C4⋊C4D412yes—
48C2×C13×C4⋊C4D412yes—
49C2×C13×C4⋊C4D412yes—
50C2×C42×C13—21no—
51C2×C42×C13—21no—
52C2×C42×C13—21no—
53C2×C42×C13—21no—
54C2×C42×C13—21no—
55C2×C42×C13—21no—
56C2×C4⋊Dic13—21no—
57C2×C4⋊Dic13—21no—
58C2×C4⋊Dic13—21no—
59C2×C4⋊Dic13—21no—
60C2×C4⋊Dic13—21no—
61C2×C4⋊Dic13—21no—
62C2×C4⋊Dic13—21no—
63C2×C4⋊Dic13—21no—
64C2×C4⋊Dic13—21no—
65C2×C4⋊Dic13—21no—
66C2×C4⋊Dic13C2×C412yes—
67C2×C4⋊Dic13Q812yes—
68C22×#1055—21no—
69C22×#1055—21no—
70C22×#1055—21no—
71C22×#1055—21no—
72C22×#1055—21no—
73C22×#1055—21no—
74C22×#1055—21no—
75C22×#1055—21no—
76C22×#1055—21no—
77C22×#1055—21no—
78C22×#1055C2×C412yes—
79C22×#1055D412yes—
80C22×#1055Q812yes—
81C22×#1055Q812yes—
82C13×#95—24no—
83#88071—42no—
84#88071—42no—
85#88047—28no—
86#11219—131nomaximal, Sylow
87C24×C13C2×D411yescharacteristic
88C22×C4×C13—22no—
89C22×C4×C13—21no—
90C22×C4×C13—22no—
91C22×C4×C13—21no—
92C22×C4×C13—21no—
93C22×C4×C13—21no—
94C22×C4×C13—22no—
95C22×C4×C13—21no—
96C22×C4×C13—21no—
97C22×C4×C13—21no—
98C22×C4×C13—21no—
99C22×C4×C13—21no—
100C22×C4×C13—21no—
101C22×C4×C13—21no—
102C22×C4×C13—21no—
103C22×C4×C13—22no—
104C22×C4×C13—41no—
105C22×C4×C13—41no—
106C22×C4×C13—41no—
107C22×C4×C13—41no—
108C22×C4×C13—41no—
109C22×C4×C13—41no—
110C22×C4×C13—41no—
111C22×C4×C13—41no—
112C22×C4×C13—41no—
113C22×C4×C13—41no—
114C22×C4×C13D812yes—
115C22×C4×C13Q1612yes—
116C22×C4×C13C22×C411yescharacteristic
117C22×C4×C13C2×D411yescharacteristic
118C22×C4×C13C2×D411yescharacteristic
119C22×C4×C13C2×D411yescharacteristic
120C22×C4×C13C2×D411yescharacteristic
121C22×C4×C13C2×Q811yescharacteristic
122C22×C4×C13C2×Q811yescharacteristic
123C22×C4×C13C2×Q811yescharacteristic
124C22×C4×C13#4111yescharacteristic
125C22×C4×C13#4111yescharacteristic
126C22×C4×C13#4111yescharacteristic
127C22×C4×C13#4111yescharacteristic
128C22×C4×C13#4111yescharacteristic
129C22×C4×C13#4111yescharacteristic
130C22×Dic13—22no—
131C22×Dic13—22no—
132C22×Dic13—41no—
133C22×Dic13—41no—
134C22×Dic13—41no—
135C22×Dic13—41no—
136C22×Dic13—41no—
137C22×Dic13—41no—
138C22×Dic13—41no—
139C22×Dic13—41no—
140C22×Dic13—41no—
141C22×Dic13—41no—
142C22×Dic13—41no—
143C22×Dic13—41no—
144C13×C4⋊C4—22no—
145C13×C4⋊C4—22no—
146C13×C4⋊C4—22no—
147C13×C4⋊C4—22no—
148C13×C4⋊C4—22no—
149C13×C4⋊C4—48no—
150C13×C4⋊C4—41no—
151C13×C4⋊C4—41no—
152C13×C4⋊C4C22⋊C414yes—
153C42×C13—41no—
154C42×C13—41no—
155C42×C13—41no—
156C42×C13—41no—
157C4⋊Dic13—22no—
158C4⋊Dic13—22no—
159C4⋊Dic13—22no—
160C4⋊Dic13—22no—
161C4⋊Dic13—41no—
162C4⋊Dic13—41no—
163C4⋊Dic13—41no—
164C4⋊Dic13—41no—
165C2×#1055—22no—
166C2×#1055—22no—
167C2×#1055—22no—
168C2×#1055—22no—
169C2×#1055—22no—
170C2×#1055—22no—
171C2×#1055—22no—
172C2×#1055—22no—
173C2×#1055—22no—
174C2×#1055—41no—
175C2×#1055—41no—
176C2×#1055—41no—
177C2×#1055—41no—
178C2×#1055C4⋊C414yescomplemented
179C22×#107—131no—
180C2×#389D1311yescharacteristic
181C2×#340—131no—
182C2×#340—131no—
183C2×#340—131no—
184C2×#336—131no—
185C4⋊#95—131no—
186C23×C13C4×D411yescharacteristic
187C23×C13#12011yescharacteristic
188C23×C13#12111yescharacteristic
189C23×C13#12111yescharacteristic
190C23×C13C22⋊Q811yescharacteristic
191C23×C13#12311yescharacteristic
192C23×C13C4⋊Q811yescharacteristic
193C23×C13C2×D811yescharacteristic
194C23×C13C2×Q1611yescharacteristic
195C23×C13#13511yescharacteristic
196C23×C13#13511yescharacteristic
197C23×C13AGL(1,ℤ/8)11yescharacteristic
198C23×C13AGL(1,ℤ/8)11yescharacteristic
199C23×C13#13711yescharacteristic
200C23×C13#13711yescharacteristic
201C2×C4×C13—24no—
202C2×C4×C13—22no—
203C2×C4×C13—22no—
204C2×C4×C13—22no—
205C2×C4×C13—22no—
206C2×C4×C13—22no—
207C2×C4×C13—22no—
208C2×C4×C13—41no—
209C2×C4×C13—41no—
210C2×C4×C13—42no—
211C2×C4×C13—42no—
212C2×C4×C13—42no—
213C2×C4×C13—41no—
214C2×C4×C13—42no—
215C2×C4×C13—41no—
216C2×C4×C13—42no—
217C2×C4×C13—42no—
218C2×C4×C13—41no—
219C2×C4×C13—41no—
220C2×C4×C13—41no—
221C2×C4×C13—41no—
222C2×C4×C13—42no—
223C2×C4×C13—42no—
224C2×C4×C13—42no—
225C2×C4×C13—81no—
226C2×C4×C13—81no—
227C2×C4×C13—81no—
228C2×C4×C13—81no—
229C2×C4×C13C2×C22⋊C411yescharacteristic
230C2×C4×C13C2×C4⋊C411yescharacteristic
231C2×C4×C13#11711yescharacteristic
232C2×C4×C13C4×D411yescharacteristic
233C2×C4×C13C4×Q811yescharacteristic
234C2×C4×C13C4×Q811yescharacteristic
235C2×C4×C13#12111yescharacteristic
236C2×C4×C13#12111yescharacteristic
237C2×C4×C13#12111yescharacteristic
238C2×C4×C13#12111yescharacteristic
239C2×C4×C13C22⋊Q811yescharacteristic
240C2×C4×C13C22⋊Q811yescharacteristic
241C2×C4×C13C22⋊Q811yescharacteristic
242C2×C4×C13C22⋊Q811yescharacteristic
243C2×C4×C13C22⋊Q811yescharacteristic
244C2×C4×C13C22⋊Q811yescharacteristic
245C2×C4×C13C22⋊Q811yescharacteristic
246C2×C4×C13#12311yescharacteristic
247C2×C4×C13#12311yescharacteristic
248C2×C4×C13#12411yescharacteristic
249C2×C4×C13#12511yescharacteristic
250C2×C4×C13#12511yescharacteristic
251C2×C4×C13#12511yescharacteristic
252C2×C4×C13#12511yescharacteristic
253C2×C4×C13#12611yescharacteristic
254C2×C4×C13#12611yescharacteristic
255C2×C4×C13C4⋊Q811yescharacteristic
256C2×C4×C13C4⋊Q811yescharacteristic
257C2×Dic13—42no—
258C2×Dic13—42no—
259C2×Dic13—42no—
260C2×Dic13—42no—
261C2×Dic13—42no—
262C2×Dic13—42no—
263C2×Dic13—81no—
264C2×Dic13—81no—
265C2×Dic13—81no—
266C2×Dic13—81no—
267C2×Dic13—81no—
268C2×Dic13—81no—
269C2×Dic13—81no—
270C2×Dic13—81no—
271#1055—24no—
272#1055—42no—
273C23×C8—131no—
274C23×C8—131no—
275C22×C4⋊C4—21no—
276C22×C4⋊C4—131no—
277C22×C4⋊C4—131no—
278C22×C4⋊C4C2×D1311yescharacteristic
279C22×C4⋊C4C2×D1311yescharacteristic
280C22×C42C2×D1311yescharacteristic
281C2×#107—134no—
282C2×#107—262no—
283C2×#107—262no—
284#389—22no—
285#389—22no—
286C2×#95—21no—
287C2×#95—261no—
288C2×#95—261no—
289#340—262no—
290#340—262no—
291#340—262no—
292#336—262no—
293C22×C13#38611yescharacteristic
294C22×C13#38711yescharacteristic
295C22×C13#38911yescharacteristic
296C22×C13#39411yescharacteristic
297C22×C13#39511yescharacteristic
298C22×C13#39611yescharacteristic
299C22×C13#39811yescharacteristic
300C22×C13C4×D811yescharacteristic
301C22×C13C4×Q1611yescharacteristic
302C22×C13#44111yescharacteristic
303C22×C13#44211yescharacteristic
304C22×C13#44711yescharacteristic
305C22×C13#44911yescharacteristic
306C22×C13#45111yescharacteristic
307C22×C13#45211yescharacteristic
308C22×C13#45911yescharacteristic
309C22×C13#46211yescharacteristic
310C22×C13#46311yescharacteristic
311C22×C13#46411yescharacteristic
312C22×C13#46611yescharacteristic
313C22×C13#46711yescharacteristic
314C22×C13#46811yescharacteristic
315C22×C13#46811yescharacteristic
316C22×C13#47411yescharacteristic
317C22×C13#47711yescharacteristic
318C22×C13#47811yescharacteristic
319C22×C13#47911yescharacteristic
320C22×C13#48011yescharacteristic
321C22×C13#48211yescharacteristic
322C22×C13#48411yescharacteristic
323C22×C13#48511yescharacteristic
324C22×C13#49911yescharacteristic
325C22×C13#50011yescharacteristic
326C22×C13#50111yescharacteristic
327C22×C13#50111yescharacteristic
328C4×C13—44no—
329C4×C13—42no—
330C4×C13—42no—
331C4×C13—82no—
332C4×C13#38011yescharacteristic
333C4×C13#38711yescharacteristic
334C4×C13#38911yescharacteristic
335C4×C13#39111yescharacteristic
336C4×C13#39611yescharacteristic
337C4×C13#39811yescharacteristic
338C4×C13#39811yescharacteristic
339C4×C13#40011yescharacteristic
340Dic13—82no—
341Dic13—82no—
342C23×C4—21no—
343C23×C4—21no—
344C23×C4—261no—
345C23×C4—261no—
346C23×C4C22⋊D1311yescharacteristic
347C23×C4C22⋊D1311yescharacteristic
348C23×C4C22×D1311yescharacteristic
349C22×C8—132no—
350C22×C8—132no—
351C22×C8—132no—
352C22×C8—132no—
353C22×C8—261no—
354C22×C8—261no—
355C22×C8—261no—
356C22×C8—261no—
357C22×C8—261no—
358C22×C8—261no—
359C22×C8—261no—
360C22×C8—261no—
361C22×C8—261no—
362C22×C8—261no—
363C2×C4⋊C4—21no—
364C2×C4⋊C4—21no—
365C2×C4⋊C4—21no—
366C2×C4⋊C4—21no—
367C2×C4⋊C4—21no—
368C2×C4⋊C4—21no—
369C2×C4⋊C4—21no—
370C2×C4⋊C4—24no—
371C2×C4⋊C4—21no—
372C2×C4⋊C4—42no—
373C2×C4⋊C4—42no—
374C2×C4⋊C4—132no—
375C2×C4⋊C4—132no—
376C2×C4⋊C4—261no—
377C2×C4⋊C4—261no—
378C2×C4⋊C4—261no—
379C2×C4⋊C4—261no—
380C2×C4⋊C4—261no—
381C2×C4⋊C4—261no—
382C2×C4⋊C4—261no—
383C2×C4⋊C4—261no—
384C2×C4⋊C4—261no—
385C2×C4⋊C4—261no—
386C2×C4⋊C4C4×D1312yes—
387C2×C4⋊C4D5212yes—
388C2×C4⋊C4C22⋊D1312yes—
389C2×C4⋊C4C22⋊D1312yes—
390C2×C42—21no—
391C2×C42—21no—
392C2×C42—21no—
393C2×C42—21no—
394C2×C42—21no—
395C2×C42—21no—
396#107—268no—
397#95—24no—
398#95—522no—
399#95—522no—
400C2×C13#144111yescharacteristic
401C2×C13#187811yescharacteristic
402C2×C13#187911yescharacteristic
403C2×C13#191811yescharacteristic
404C2×C13#192111yescharacteristic
405C2×C13#194211yescharacteristic
406C2×C13#194311yescharacteristic
407C2×C13#203311yescharacteristic
408C2×C13#203611yescharacteristic
409C2×C13#205711yescharacteristic
410C2×C13#205911yescharacteristic
411C2×C13#206711yescharacteristic
412C2×C13#206811yescharacteristic
413C2×C13#208311yescharacteristic
414C2×C13#208511yescharacteristic
415C24C2×C22⋊D1311yescharacteristic
416C22×C4—22no—
417C22×C4—22no—
418C22×C4—21no—
419C22×C4—21no—
420C22×C4—21no—
421C22×C4—21no—
422C22×C4—21no—
423C22×C4—21no—
424C22×C4—21no—
425C22×C4—21no—
426C22×C4—21no—
427C22×C4—21no—
428C22×C4—21no—
429C22×C4—22no—
430C22×C4—21no—
431C22×C4—22no—
432C22×C4—41no—
433C22×C4—41no—
434C22×C4—41no—
435C22×C4—41no—
436C22×C4—41no—
437C22×C4—41no—
438C22×C4—41no—
439C22×C4—41no—
440C22×C4—41no—
441C22×C4—41no—
442C22×C4—262no—
443C22×C4—262no—
444C22×C4—521no—
445C22×C4—521no—
446C22×C4—521no—
447C22×C4—521no—
448C22×C4—521no—
449C22×C4—521no—
450C22×C4—521no—
451C22×C4—521no—
452C22×C4—521no—
453C22×C4—521no—
454C22×C4—521no—
455C22×C4—521no—
456C22×C4#610412yes—
457C22×C4#610712yes—
458C22×C4C2×C4×D1311yescharacteristic
459C22×C4C2×D5211yescharacteristic
460C22×C4#612711yescharacteristic
461C22×C4#612711yescharacteristic
462C22×C4D4×D1311yescharacteristic
463C22×C4#612911yescharacteristic
464C22×C4#612911yescharacteristic
465C22×C4#612911yescharacteristic
466C22×C4Q8×D1311yescharacteristic
467C22×C4Q8×D1311yescharacteristic
468C22×C4Q8×D1311yescharacteristic
469C22×C4#613111yescharacteristic
470C22×C4C2×C22⋊D1311yescharacteristic
471C22×C4C2×C22⋊D1311yescharacteristic
472C2×C8—134no—
473C2×C8—262no—
474C2×C8—262no—
475C2×C8—262no—
476C2×C8—262no—
477C2×C8—262no—
478C2×C8—262no—
479C2×C8—262no—
480C2×C8—262no—
481C2×C8—262no—
482C2×C8—521no—
483C2×C8—521no—
484C2×C8—521no—
485C2×C8—521no—
486C4⋊C4—22no—
487C4⋊C4—22no—
488C4⋊C4—22no—
489C4⋊C4—22no—
490C4⋊C4—22no—
491C4⋊C4—48no—
492C4⋊C4—41no—
493C4⋊C4—41no—
494C4⋊C4—262no—
495C4⋊C4—262no—
496C4⋊C4—262no—
497C4⋊C4—262no—
498C4⋊C4—521no—
499C4⋊C4—521no—
500C4⋊C4—521no—
501C4⋊C4—521no—
502C4⋊C4#610314yes—
503C42—41no—
504C42—41no—
505C42—41no—
506C42—41no—
507C13#1121911yescharacteristic, complemented, Sylow
508C23C4×C22⋊D1311yescharacteristic
509C23#8818411yescharacteristic
510C23C2×#610411yescharacteristic
511C23#8818611yescharacteristic
512C23#8818911yescharacteristic
513C23#8819311yescharacteristic
514C23#8819611yescharacteristic
515C23C2×#610711yescharacteristic
516C23#8819811yescharacteristic
517C23#8820011yescharacteristic
518C23#8820311yescharacteristic
519C23#8820411yescharacteristic
520C23#8820411yescharacteristic
521C23#8820511yescharacteristic
522C23#8820711yescharacteristic
523C2×C4—22no—
524C2×C4—22no—
525C2×C4—22no—
526C2×C4—22no—
527C2×C4—24no—
528C2×C4—22no—
529C2×C4—22no—
530C2×C4—42no—
531C2×C4—42no—
532C2×C4—42no—
533C2×C4—42no—
534C2×C4—41no—
535C2×C4—41no—
536C2×C4—41no—
537C2×C4—41no—
538C2×C4—42no—
539C2×C4—41no—
540C2×C4—41no—
541C2×C4—41no—
542C2×C4—42no—
543C2×C4—41no—
544C2×C4—42no—
545C2×C4—42no—
546C2×C4—42no—
547C2×C4—81no—
548C2×C4—81no—
549C2×C4—81no—
550C2×C4—81no—
551C2×C4—522no—
552C2×C4—522no—
553C2×C4—522no—
554C2×C4—522no—
555C2×C4—522no—
556C2×C4—522no—
557C2×C4—1041no—
558C2×C4—1041no—
559C2×C4—1041no—
560C2×C4—1041no—
561C2×C4—1041no—
562C2×C4—1041no—
563C2×C4—1041no—
564C2×C4—1041no—
565C2×C4#8814111yescharacteristic
566C2×C4#8814111yescharacteristic
567C2×C4#8814311yescharacteristic
568C2×C4#8814311yescharacteristic
569C2×C4#8814311yescharacteristic
570C2×C4#8814311yescharacteristic
571C2×C4C4⋊C4×D1311yescharacteristic
572C2×C4#8814611yescharacteristic
573C2×C4#8814911yescharacteristic
574C2×C4#8815011yescharacteristic
575C2×C4#8815011yescharacteristic
576C2×C4#8815111yescharacteristic
577C2×C4#8815111yescharacteristic
578C2×C4#8815111yescharacteristic
579C2×C4#8815211yescharacteristic
580C2×C4#8815211yescharacteristic
581C2×C4C2×#610311yescharacteristic
582C2×C4C4×C22⋊D1311yescharacteristic
583C2×C4#8818311yescharacteristic
584C2×C4#8818411yescharacteristic
585C2×C4#8818911yescharacteristic
586C2×C4#8819011yescharacteristic
587C2×C4#8819211yescharacteristic
588C2×C4#8819311yescharacteristic
589C2×C4#8819811yescharacteristic
590C2×C4#8819811yescharacteristic
591C2×C4#8820011yescharacteristic
592C2×C4#8820011yescharacteristic
593C8—264no—
594C8—522no—
595C22#1171863311yescharacteristic
596C22#1171863911yescharacteristic
597C22#1171864411yescharacteristic
598C22#1171865511yescharacteristic
599C22C4×#610411yescharacteristic
600C22#1171867511yescharacteristic
601C22#1171867611yescharacteristic
602C22#1171867711yescharacteristic
603C22#1171868911yescharacteristic
604C22C4×#610711yescharacteristic
605C22#1171869111yescharacteristic
606C22#1171869211yescharacteristic
607C22#1171869411yescharacteristic
608C22#1171869611yescharacteristic
609C22#1171869911yescharacteristic
610C22#1171870311yescharacteristic
611C22#1171870511yescharacteristic
612C22#1171870611yescharacteristic
613C22#1171871011yescharacteristic
614C22#1171871211yescharacteristic
615C22#1171872411yescharacteristic
616C22#1171872511yescharacteristic
617C22#1171872611yescharacteristic
618C22#1171872711yescharacteristic
619C22#1171873911yescharacteristic
620C22#1171874111yescharacteristic
621C22#1171874811yescharacteristic
622C22#1171875211yescharacteristic
623C22#1171887411yescharacteristic
624C22#1171887811yescharacteristic
625C22#1171888311yescharacteristic
626C22#1171888911yescharacteristic
627C22#1171889011yescharacteristic
628C22#1171889911yescharacteristic
629C22#1171890011yescharacteristic
630C4—44no—
631C4—42no—
632C4—42no—
633C4—82no—
634C4—1042no—
635C4—1042no—
636C4#1171863311yescharacteristic
637C4#1171863511yescharacteristic
638C4#1171863911yescharacteristic
639C4#1171864111yescharacteristic
640C4#1171864311yescharacteristic
641C4#1171864411yescharacteristic
642C4#1171864811yescharacteristic
643C4#1171865511yescharacteristic
644C2#1311308611yescharacteristic
645C2#1311517711yescharacteristic
646C2#1311518411yescharacteristic
647C2#1311540411yescharacteristic
648C2#1311542511yescharacteristic
649C2#1311556611yescharacteristic
650C2#1311557111yescharacteristic
651C2#1311601511yescharacteristic
652C2#1311603611yescharacteristic
653C2#1311616111yescharacteristic
654C2#1311617111yescharacteristic
655C2#1311622111yescharacteristic
656C2#1311622811yescharacteristic
657C2#1311630711yescharacteristic
658C2#1311631711yescharacteristic
subgroupG/H
centerC24C2×C22⋊D13
commutatorC22×C4×C13C22×C4
FrattiniC23×C4C22×D13
FittingC2×C13×#389C2
socle, prime radicalC24×C13C2×D4
cosocleC23×C4×C13C23
hypercenterC2×#389D13
hypocenterC13#11219
LCSG ▷ C22×C4×C13 ▷ C2×C13 ▷ C13
UCSC1 ◁ C24 ◁ C22×C42 ◁ C2×#389

Complements

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

NH ≅ G/Ntype
23. C2×#88047C4semidirect
178. C2×#1055C4⋊C4semidirect
507. C13#11219semidirect

Maximal subgroups

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

subgroupindex
C22×#880472
C2×#117181212
C2×#117181162
#131130662
C2×C13×#3892
#1121913