Finite Group Databasebeta

← #15784331

Subgroups — #15784331

Order 3328.

2574 conjugacy classes of subgroups.

The subgroup lattice has 716 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C23×#6101C211yesmaximal, characteristic
2C2×#11718603C211yesmaximal, characteristic
3C2×#11718310C212yesmaximal, complemented
4C2×C22⋊C4×Dic13C211yesmaximal, characteristic
5C2×C22⋊C4×Dic13C211yesmaximal, characteristic
6C2×C4×C22⋊Dic13C211yesmaximal, characteristic
7#13113071C212yesmaximal, complemented
8#13113067C212yesmaximal, complemented
9#13113064C212yesmaximal, complemented
10#13113058C211yesmaximal, characteristic
11C13×C22⋊#95C211yesmaximal, characteristic
12C24×C4×C13C2211yescharacteristic
13C24×Dic13C2211yescharacteristic
14C24×Dic13C2211yescharacteristic
15C22×C13×C22⋊C4C2211yescharacteristic
16C22×C13×C22⋊C4C2211yescharacteristic
17C22×C22⋊Dic13C2211yescharacteristic
18C22×C22⋊Dic13C2211yescharacteristic
19C22×#6101—28no—
20C22×#6101C418yescomplemented
21C22×#6101C2211yescharacteristic
22C22×#6101C2211yescharacteristic
23C22×#6101C2211yescharacteristic
24C22×#6101C2212yes—
25C22×#6101C2211yescharacteristic
26C22×C4×Dic13C2212yes—
27C22×C4×Dic13C2212yes—
28C22×C4×Dic13C2212yes—
29C2×C13×#95C2212yes—
30C2×C13×#95C2212yes—
31C4×C22⋊Dic13—24no—
32C2×#88071C2212yes—
33C2×#88071C2212yes—
34C2×#88071C2212yes—
35C2×#88071C2212yes—
36C2×#88071C2212yes—
37C2×#88071C2212yes—
38#11718603C418yescomplemented
39C22⋊C4×Dic13—24no—
40C22⋊C4×Dic13C418yescomplemented
41#11718310—28no—
42C25×C13C2311yescharacteristic
43C23×C4×C13—22no—
44C23×C4×C13—22no—
45C23×C4×C13—24no—
46C23×C4×C13—42no—
47C23×C4×C13C2×C414yes—
48C23×C4×C13C2312yes—
49C23×C4×C13C2312yes—
50C23×C4×C13C2311yescharacteristic
51C23×C4×C13C2311yescharacteristic
52C23×Dic13—24no—
53C23×Dic13—24no—
54C23×Dic13—22no—
55C23×Dic13—22no—
56C23×Dic13—24no—
57C23×Dic13—42no—
58C23×Dic13C2×C414yes—
59C23×Dic13C2×C414yes—
60C23×Dic13C2×C414yes—
61C23×Dic13C2×C414yes—
62C23×Dic13C2312yes—
63C23×Dic13C2311yescharacteristic
64C23×Dic13C2311yescharacteristic
65C23×Dic13C2311yescharacteristic
66C23×Dic13C2312yes—
67C23×Dic13C2311yescharacteristic
68C2×C13×C22⋊C4—22no—
69C2×C13×C22⋊C4—22no—
70C2×C13×C22⋊C4—22no—
71C2×C13×C22⋊C4—22no—
72C2×C13×C22⋊C4C2×C414yes—
73C2×C13×C22⋊C4C2×C414yes—
74C2×C22⋊Dic13—22no—
75C2×C22⋊Dic13—22no—
76C2×C22⋊Dic13C2×C414yes—
77C2×C22⋊Dic13C2×C414yes—
78C2×C22⋊Dic13D414yes—
79C2×C22⋊Dic13Q814yes—
80C2×#6101—24no—
81C2×#6101—24no—
82C2×#6101—24no—
83C2×#6101—24no—
84C2×#6101—24no—
85C2×#6101—232no—
86C2×#6101C2×C414yes—
87C2×#6101C2×C414yes—
88C2×#6101C2×C414yes—
89C2×#6101C2×C414yes—
90C2×#6101C2×C418yescomplemented
91C2×#6101D418yes—
92C2×C4×Dic13—24no—
93C2×C4×Dic13—24no—
94C2×C4×Dic13—24no—
95C2×C4×Dic13—24no—
96C2×C4×Dic13—24no—
97C2×C4×Dic13—24no—
98C2×C4×Dic13—42no—
99C2×C4×Dic13—42no—
100C2×C4×Dic13C2×C418yescomplemented
101C13×#95—24no—
102C13×#95—42no—
103#88071—24no—
104#88071—24no—
105#88071—24no—
106#88071—42no—
107#88071C2×C418yescomplemented
108#88071C2×C418yescomplemented
109C22⋊C4×C4⋊C4—131nomaximal, Sylow
110C24×C13—22no—
111C24×C13—22no—
112C24×C13—22no—
113C24×C13—22no—
114C24×C13C22×C412yes—
115C24×C13C22×C412yes—
116C24×C13C22×C412yes—
117C24×C13C2×D412yes—
118C24×C13C2×Q812yes—
119C24×C13#4112yes—
120C24×C13#4112yes—
121C24×C13C2411yescharacteristic
122C22×C4×C13—21no—
123C22×C4×C13—21no—
124C22×C4×C13—22no—
125C22×C4×C13—28no—
126C22×C4×C13—21no—
127C22×C4×C13—22no—
128C22×C4×C13—22no—
129C22×C4×C13—22no—
130C22×C4×C13—22no—
131C22×C4×C13—22no—
132C22×C4×C13—22no—
133C22×C4×C13—22no—
134C22×C4×C13—22no—
135C22×C4×C13—22no—
136C22×C4×C13—21no—
137C22×C4×C13—22no—
138C22×C4×C13—22no—
139C22×C4×C13—22no—
140C22×C4×C13—22no—
141C22×C4×C13—22no—
142C22×C4×C13—28no—
143C22×C4×C13—44no—
144C22×C4×C13—48no—
145C22×C4×C13—48no—
146C22×C4×C13C22×C414yes—
147C22×C4×C13C22×C414yes—
148C22×C4×C13C22×C412yes—
149C22×C4×C13C22×C412yes—
150C22×C4×C13C2×D414yes—
151C22×Dic13—22no—
152C22×Dic13—21no—
153C22×Dic13—22no—
154C22×Dic13—22no—
155C22×Dic13—22no—
156C22×Dic13—21no—
157C22×Dic13—22no—
158C22×Dic13—22no—
159C22×Dic13—22no—
160C22×Dic13—28no—
161C22×Dic13—28no—
162C22×Dic13—216no—
163C22×Dic13—216no—
164C22×Dic13—28no—
165C22×Dic13—21no—
166C22×Dic13—22no—
167C22×Dic13—22no—
168C22×Dic13—22no—
169C22×Dic13—22no—
170C22×Dic13—22no—
171C22×Dic13—21no—
172C22×Dic13—22no—
173C22×Dic13—22no—
174C22×Dic13—22no—
175C22×Dic13—28no—
176C22×Dic13—44no—
177C22×Dic13—48no—
178C22×Dic13—48no—
179C22×Dic13C42116yescomplemented
180C22×Dic13C22×C414yes—
181C22×Dic13C22×C412yes—
182C22×Dic13C22×C412yes—
183C22×Dic13C22×C412yes—
184C22×Dic13C22×C412yes—
185C22×Dic13C22×C412yes—
186C22×Dic13C22×C414yes—
187C22×Dic13C22×C412yes—
188C22×Dic13C22×C412yes—
189C22×Dic13C22×C412yes—
190C22×Dic13C2×D414yes—
191C22×Dic13C2×D414yes—
192C22×Dic13C2×D414yes—
193C22×Dic13C2×Q814yes—
194C22×Dic13#4114yes—
195C13×C22⋊C4—28no—
196C13×C22⋊C4—28no—
197C22⋊Dic13—28no—
198C22⋊Dic13C4⋊C4116yescomplemented
199#6101—28no—
200#6101—28no—
201#6101—28no—
202#6101—216no—
203#6101C22⋊C4116yescomplemented
204C4×Dic13—216no—
205C4×Dic13—48no—
206C4×Dic13—48no—
207C23×C4⋊C4—131no—
208C2×#380—131no—
209C2×C4×C4⋊C4—132no—
210C2×C4×C22⋊C4—131no—
211C2×C4×C22⋊C4—131no—
212C2×C4×C22⋊C4—131no—
213#1436—132no—
214#1436—132no—
215C4⋊#95—132no—
216C22⋊#95—131no—
217C22⋊#95D1311yescharacteristic
218C23×C13—22no—
219C23×C13—22no—
220C23×C13—24no—
221C23×C13—24no—
222C23×C13—22no—
223C23×C13—22no—
224C23×C13—24no—
225C23×C13—24no—
226C23×C13—24no—
227C23×C13—24no—
228C23×C13—24no—
229C23×C13—24no—
230C23×C13—24no—
231C23×C13—24no—
232C23×C13—24no—
233C23×C13—24no—
234C23×C13C2×C4214yes—
235C23×C13C2×C4⋊C414yes—
236C23×C13#11714yes—
237C23×C13C4×D414yes—
238C23×C13C4×D414yes—
239C23×C13C4×Q814yes—
240C23×C13C4×Q814yes—
241C23×C13C23×C411yescharacteristic
242C23×C13C23×C411yescharacteristic
243C23×C13C23×C411yescharacteristic
244C23×C13C22×D412yes—
245C23×C13C22×D411yescharacteristic
246C23×C13C22×Q811yescharacteristic
247C23×C13C2×#4112yes—
248C23×C13C2×#4111yescharacteristic
249C23×C13C2×#4111yescharacteristic
250C23×C13H(5,𝔽2)12yes—
251C23×C132−1+412yes—
252C2×C4×C13—22no—
253C2×C4×C13—22no—
254C2×C4×C13—24no—
255C2×C4×C13—24no—
256C2×C4×C13—22no—
257C2×C4×C13—24no—
258C2×C4×C13—24no—
259C2×C4×C13—24no—
260C2×C4×C13—24no—
261C2×C4×C13—22no—
262C2×C4×C13—22no—
263C2×C4×C13—24no—
264C2×C4×C13—24no—
265C2×C4×C13—416no—
266C2×C4×C13—42no—
267C2×C4×C13—42no—
268C2×C4×C13—42no—
269C2×C4×C13—42no—
270C2×C4×C13—42no—
271C2×C4×C13—42no—
272C2×C4×C13—42no—
273C2×C4×C13—42no—
274C2×C4×C13—42no—
275C2×C4×C13—42no—
276C2×C4×C13C2×C22⋊C414yes—
277C2×Dic13—22no—
278C2×Dic13—22no—
279C2×Dic13—24no—
280C2×Dic13—22no—
281C2×Dic13—24no—
282C2×Dic13—24no—
283C2×Dic13—22no—
284C2×Dic13—24no—
285C2×Dic13—24no—
286C2×Dic13—24no—
287C2×Dic13—24no—
288C2×Dic13—24no—
289C2×Dic13—24no—
290C2×Dic13—24no—
291C2×Dic13—232no—
292C2×Dic13—22no—
293C2×Dic13—24no—
294C2×Dic13—24no—
295C2×Dic13—22no—
296C2×Dic13—22no—
297C2×Dic13—24no—
298C2×Dic13—416no—
299C2×Dic13—42no—
300C2×Dic13—42no—
301C2×Dic13—42no—
302C2×Dic13—42no—
303C2×Dic13—42no—
304C2×Dic13—42no—
305C2×Dic13C2×C4214yes—
306C2×Dic13C2×C4214yes—
307C2×Dic13C2×C22⋊C414yes—
308C2×Dic13C2×C22⋊C414yes—
309C2×Dic13C2×C4⋊C418yescomplemented
310C2×Dic13#11714yes—
311C2×Dic13C4×D418yes—
312C2×Dic13C4×D418yes—
313C24×C4—131no—
314C24×C4—131no—
315C24×C4C2×D1311yescharacteristic
316C22×C4⋊C4—131no—
317C22×C4⋊C4—138no—
318C22×C4⋊C4—131no—
319C22×C4⋊C4—131no—
320C22×C4⋊C4—131no—
321C22×C4⋊C4—132no—
322C22×C4⋊C4—268no—
323C22×C22⋊C4—131no—
324C22×C22⋊C4—131no—
325C22×C22⋊C4C2×D1311yescharacteristic
326C22×C22⋊C4C2×D1311yescharacteristic
327C22×C42—132no—
328C22×C42—132no—
329C22×C42—132no—
330#380—138no—
331C4×C4⋊C4—268no—
332C4×C22⋊C4—138no—
333C4×C22⋊C4—264no—
334C4×C22⋊C4—264no—
335C2×#95—132no—
336C2×#95—132no—
337C2×#95—132no—
338C2×#95—132no—
339C2×#95—132no—
340C2×#95—132no—
341C2×#95C2×D1312yes—
342C2×#95C2×D1312yes—
343C22×C13—24no—
344C22×C13—24no—
345C22×C13—24no—
346C22×C13—24no—
347C22×C13—28no—
348C22×C13—28no—
349C22×C13—28no—
350C22×C13—28no—
351C22×C13—24no—
352C22×C13—24no—
353C22×C13C4×C4⋊C418yescomplemented
354C22×C13C22×C4211yescharacteristic
355C22×C13C22×C22⋊C411yescharacteristic
356C22×C13C22×C4⋊C411yescharacteristic
357C22×C13C2×#11711yescharacteristic
358C22×C13C2×#11711yescharacteristic
359C22×C13C2×C4×D411yescharacteristic
360C22×C13C2×C4×D411yescharacteristic
361C22×C13C2×C4×D412yes—
362C22×C13C2×C4×D412yes—
363C22×C13C2×C4×Q811yescharacteristic
364C22×C13C2×C4×Q811yescharacteristic
365C22×C13#51811yescharacteristic
366C22×C13#51911yescharacteristic
367C22×C13#52012yes—
368C22×C13#52012yes—
369C22×C13D4212yes—
370C22×C13#54612yes—
371C22×C13#54712yes—
372C22×C13#54812yes—
373C22×C13D4×Q812yes—
374C22×C13#55212yes—
375C22×C13#55312yes—
376C22×C13#55412yes—
377C4×C13—24no—
378C4×C13—42no—
379C4×C13—44no—
380C4×C13—44no—
381Dic13—24no—
382Dic13—28no—
383Dic13—24no—
384Dic13—42no—
385Dic13—44no—
386Dic13C4×C22⋊C418yescomplemented
387C25C22×D1311yescharacteristic
388C23×C4—22no—
389C23×C4—22no—
390C23×C4—24no—
391C23×C4—42no—
392C23×C4—131no—
393C23×C4—134no—
394C23×C4—134no—
395C23×C4—134no—
396C23×C4—132no—
397C23×C4—131no—
398C23×C4—131no—
399C23×C4—132no—
400C23×C4—131no—
401C23×C4—134no—
402C23×C4—264no—
403C23×C4—264no—
404C23×C4—264no—
405C23×C4—262no—
406C23×C4—262no—
407C23×C4—522no—
408C23×C4C4×D1314yes—
409C23×C4C22×D1312yes—
410C23×C4C22×D1312yes—
411C23×C4C22×D1311yescharacteristic
412C23×C4C22×D1311yescharacteristic
413C2×C4⋊C4—134no—
414C2×C4⋊C4—138no—
415C2×C4⋊C4—134no—
416C2×C4⋊C4—134no—
417C2×C4⋊C4—134no—
418C2×C4⋊C4—138no—
419C2×C4⋊C4—2632no—
420C2×C4⋊C4—264no—
421C2×C4⋊C4—264no—
422C2×C4⋊C4—264no—
423C2×C4⋊C4—264no—
424C2×C4⋊C4—264no—
425C2×C22⋊C4—22no—
426C2×C22⋊C4—22no—
427C2×C22⋊C4—22no—
428C2×C22⋊C4—22no—
429C2×C22⋊C4—134no—
430C2×C22⋊C4—134no—
431C2×C22⋊C4—134no—
432C2×C22⋊C4—134no—
433C2×C22⋊C4—262no—
434C2×C22⋊C4—262no—
435C2×C22⋊C4C4×D1314yes—
436C2×C22⋊C4C4×D1314yes—
437C2×C42—138no—
438C2×C42—264no—
439C2×C42—264no—
440C2×C42—264no—
441C2×C42—264no—
442C2×C42—264no—
443C2×C42—264no—
444C2×C42—522no—
445C2×C42—522no—
446#95—24no—
447#95—42no—
448#95—138no—
449#95—138no—
450#95—264no—
451#95—264no—
452#95—264no—
453#95—522no—
454C2×C13—28no—
455C2×C13C2×C4×C22⋊C411yescharacteristic
456C2×C13C2×C4×C4⋊C411yescharacteristic
457C2×C13#227411yescharacteristic
458C2×C13D4×C22⋊C411yescharacteristic
459C2×C13Q8×C22⋊C411yescharacteristic
460C2×C13#234411yescharacteristic
461C2×C13#234511yescharacteristic
462C2×C13D4×C4⋊C412yes—
463C2×C13#235212yes—
464C2×C13#236012yes—
465C2×C13#236112yes—
466C24—22no—
467C24—22no—
468C24—22no—
469C24—22no—
470C24C2×C4×D1312yes—
471C24C2×C4×D1312yes—
472C24C2×C4×D1312yes—
473C24D4×D1312yes—
474C24#612912yes—
475C24#612912yes—
476C24Q8×D1312yes—
477C24C23×D1311yescharacteristic
478C22×C4—21no—
479C22×C4—21no—
480C22×C4—22no—
481C22×C4—28no—
482C22×C4—22no—
483C22×C4—22no—
484C22×C4—21no—
485C22×C4—22no—
486C22×C4—22no—
487C22×C4—22no—
488C22×C4—22no—
489C22×C4—22no—
490C22×C4—21no—
491C22×C4—22no—
492C22×C4—22no—
493C22×C4—22no—
494C22×C4—22no—
495C22×C4—22no—
496C22×C4—22no—
497C22×C4—22no—
498C22×C4—28no—
499C22×C4—44no—
500C22×C4—48no—
501C22×C4—48no—
502C22×C4—132no—
503C22×C4—132no—
504C22×C4—132no—
505C22×C4—134no—
506C22×C4—134no—
507C22×C4—1316no—
508C22×C4—132no—
509C22×C4—132no—
510C22×C4—134no—
511C22×C4—132no—
512C22×C4—132no—
513C22×C4—134no—
514C22×C4—134no—
515C22×C4—134no—
516C22×C4—134no—
517C22×C4—132no—
518C22×C4—268no—
519C22×C4—268no—
520C22×C4—2616no—
521C22×C4—2616no—
522C22×C4—268no—
523C22×C4—262no—
524C22×C4—261no—
525C22×C4—262no—
526C22×C4—261no—
527C22×C4—262no—
528C22×C4—262no—
529C22×C4—262no—
530C22×C4—262no—
531C22×C4—262no—
532C22×C4—268no—
533C22×C4—261no—
534C22×C4—262no—
535C22×C4—262no—
536C22×C4—262no—
537C22×C4—262no—
538C22×C4—261no—
539C22×C4—262no—
540C22×C4—262no—
541C22×C4—262no—
542C22×C4—262no—
543C22×C4—524no—
544C22×C4—528no—
545C22×C4—528no—
546C22×C4C2×C4×D1314yes—
547C22×C4C2×C4×D1314yes—
548C22×C4C2×C4×D1312yes—
549C22×C4C2×C4×D1312yes—
550C22×C4D4×D1314yes—
551C4⋊C4—1316no—
552C4⋊C4—268no—
553C4⋊C4—268no—
554C4⋊C4—2616no—
555C4⋊C4—268no—
556C22⋊C4—28no—
557C22⋊C4—28no—
558C22⋊C4—1316no—
559C22⋊C4—268no—
560C42—2616no—
561C42—528no—
562C42—528no—
563C13C22⋊C4×C4⋊C411yescharacteristic, complemented, Sylow
564C23—22no—
565C23—22no—
566C23—22no—
567C23—22no—
568C23—24no—
569C23—24no—
570C23—24no—
571C23—24no—
572C23—24no—
573C23—24no—
574C23—24no—
575C23—24no—
576C23—24no—
577C23—24no—
578C23—24no—
579C23—24no—
580C23C42×D1314yes—
581C23#8813114yes—
582C23#8813514yes—
583C23#8813514yes—
584C23#8814114yes—
585C23#8814114yes—
586C23C4⋊C4×D1314yes—
587C23C22×C4×D1311yescharacteristic
588C23C22×C4×D1311yescharacteristic
589C23C22×C4×D1311yescharacteristic
590C23C2×D4×D1312yes—
591C23C2×D4×D1311yescharacteristic
592C23C2×#612911yescharacteristic
593C23C2×#612911yescharacteristic
594C23#8825112yes—
595C23C2×Q8×D1311yescharacteristic
596C23#41×D1312yes—
597C23#8825712yes—
598C2×C4—22no—
599C2×C4—22no—
600C2×C4—24no—
601C2×C4—24no—
602C2×C4—24no—
603C2×C4—22no—
604C2×C4—24no—
605C2×C4—22no—
606C2×C4—22no—
607C2×C4—24no—
608C2×C4—24no—
609C2×C4—24no—
610C2×C4—24no—
611C2×C4—416no—
612C2×C4—42no—
613C2×C4—42no—
614C2×C4—42no—
615C2×C4—42no—
616C2×C4—42no—
617C2×C4—42no—
618C2×C4—42no—
619C2×C4—42no—
620C2×C4—42no—
621C2×C4—42no—
622C2×C4—134no—
623C2×C4—134no—
624C2×C4—134no—
625C2×C4—138no—
626C2×C4—138no—
627C2×C4—134no—
628C2×C4—134no—
629C2×C4—138no—
630C2×C4—2632no—
631C2×C4—262no—
632C2×C4—262no—
633C2×C4—262no—
634C2×C4—262no—
635C2×C4—264no—
636C2×C4—264no—
637C2×C4—264no—
638C2×C4—264no—
639C2×C4—264no—
640C2×C4—264no—
641C2×C4—264no—
642C2×C4—264no—
643C2×C4—264no—
644C2×C4—264no—
645C2×C4—262no—
646C2×C4—264no—
647C2×C4—262no—
648C2×C4—262no—
649C2×C4—264no—
650C2×C4—264no—
651C2×C4—5216no—
652C2×C4—522no—
653C2×C4—522no—
654C2×C4—522no—
655C2×C4—522no—
656C2×C4—522no—
657C2×C4—522no—
658C2×C4C22⋊C4×D1314yes—
659C22—24no—
660C22—24no—
661C22—24no—
662C22—28no—
663C22—28no—
664C22—28no—
665C22—28no—
666C22—24no—
667C22—24no—
668C22—24no—
669C22#1171831018yescomplemented
670C22C2×C42×D1311yescharacteristic
671C22C2×#8813111yescharacteristic
672C22C2×C22⋊C4×D1311yescharacteristic
673C22C2×#8813511yescharacteristic
674C22C2×#8813511yescharacteristic
675C22#1171919111yescharacteristic
676C22C2×#8814111yescharacteristic
677C22C2×#8814111yescharacteristic
678C22C2×C4⋊C4×D1311yescharacteristic
679C22#1171922111yescharacteristic
680C22D13×#11711yescharacteristic
681C22C4×D4×D1312yes—
682C22C4×D4×D1312yes—
683C22#1171925112yes—
684C22#1171925112yes—
685C22#1171929512yes—
686C22#1171929612yes—
687C22#1171930312yes—
688C22#1171930612yes—
689C22#1171933712yes—
690C22#1171934112yes—
691C22#1171935512yes—
692C22#1171936012yes—
693C4—24no—
694C4—44no—
695C4—44no—
696C4—42no—
697C4—138no—
698C4—268no—
699C4—264no—
700C4—264no—
701C4—524no—
702C4—522no—
703C2—28no—
704C2C4×C22⋊C4×D1311yescharacteristic
705C2C2×#1171831011yescharacteristic
706C2#1311719111yescharacteristic
707C2#1311765211yescharacteristic
708C2#1311766811yescharacteristic
709C2#1311770011yescharacteristic
710C2#1311770811yescharacteristic
711C2#1311773412yes—
712C2#1311776312yes—
713C2#1311783612yes—
714C2#1311784712yes—
subgroupG/H
center, FrattiniC24C23×D13
commutatorC22×C13C22×C42
FittingC13×C22⋊#95C2
socle, cosocleC24×C13C24
prime radicalC25×C13C23
hypercenterC22⋊#95D13
hypocenterC13C22⋊C4×C4⋊C4
LCSG ▷ C22×C13 ▷ C13
UCSC1 ◁ C24 ◁ C22⋊#95

Complements

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

NH ≅ G/Ntype
3. C2×#11718310C2semidirect
7. #13113071C2semidirect
8. #13113067C2semidirect
9. #13113064C2semidirect
20. C22×#6101C4semidirect
38. #11718603C4semidirect
40. C22⋊C4×Dic13C4semidirect
90. C2×#6101C2×C4semidirect
100. C2×C4×Dic13C2×C4semidirect
107. #88071C2×C4semidirect
108. #88071C2×C4semidirect
179. C22×Dic13C42semidirect
198. C22⋊Dic13C4⋊C4semidirect
203. #6101C22⋊C4semidirect
309. C2×Dic13C2×C4⋊C4semidirect
353. C22×C13C4×C4⋊C4semidirect
386. Dic13C4×C22⋊C4semidirect
563. C13C22⋊C4×C4⋊C4semidirect
669. C22#11718310semidirect

Maximal subgroups

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

subgroupindex
C23×#61012
C2×#117186032
C2×#117183102
C2×C22⋊C4×Dic132
C2×C4×C22⋊Dic132
#131130712
#131130672
#131130642
#131130582
C13×C22⋊#952
C22⋊C4×C4⋊C413