Finite Group Databasebeta

← #29707729

Subgroups — #29707729

Order 15616.

1570 conjugacy classes of subgroups.

The subgroup lattice has 754 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16840308C211yesmaximal, characteristic
2C2×#16839764C211yesmaximal, characteristic, complemented
3C2×#16839763C211yesmaximal, characteristic, complemented
4C2×#16839761C211yesmaximal, characteristic, complemented
5C2×#16839661C211yesmaximal, characteristic, complemented
6#21447064C212yesmaximal, complemented
7#21447059C212yesmaximal, complemented
8#21447057C212yesmaximal, complemented
9#21447052C212yesmaximal, complemented
10#21445512C211yesmaximal, characteristic, complemented
11C2×C61×#417C211yesmaximal, characteristic, complemented
12C22×#11758222C2211yescharacteristic
13C22×#11758194C2211yescharacteristic
14#16840308—24no—
15#16840308—24no—
16C2×#14519775C2211yescharacteristic
17C2×#14519773C2211yescharacteristic
18C2×#14519766C2211yescharacteristic
19C2×#14519764C2211yescharacteristic
20C2×#14519749—21no—
21C2×#14519749—21no—
22C2×C4×C22⋊D61—21no—
23C2×C4×C22⋊D61—21no—
24C22×C4⋊Dic61—21no—
25C22×C4⋊Dic61C2211yescharacteristic
26C22×C4×Dic61C2211yescharacteristic
27#16839764—24no—
28#16839763—24no—
29#16839761—24no—
30C2×#14519702C2212yes—
31C2×#14519701C2212yes—
32C2×#14519700C2212yes—
33C2×#14519699C2212yes—
34C2×#14519698C2212yes—
35C2×#14519697C2212yes—
36#16839661—21no—
37#16839661—21no—
38#16839661C2212yes—
39#16839661C2212yes—
40C2×#14519684—21no—
41#16839516C2212yes—
42#16839516C2212yes—
43C22×#41×C61C2211yescharacteristic
44C22×M16×C61C2211yescharacteristic
45C22×C4⋊C4×C61C2211yescharacteristic
46C61×#417—24no—
47C2×#103×C61C2212yes—
48C2×#102×C61C2212yes—
49C2×#11758222—22no—
50C2×#11758222—22no—
51C2×#11758222—22no—
52C2×#11758222—22no—
53C2×#11758222—22no—
54C2×#11758222D414yes—
55C22×Dic122C2311yescharacteristic
56C22×D244C2311yescharacteristic
57C22×C22⋊D61—21no—
58C22×C22⋊D61—21no—
59C22×C22⋊D61—21no—
60C23×Dic61—21no—
61C23×Dic61D411yescharacteristic
62C23×Dic61D411yescharacteristic
63C22×C4×D61—21no—
64C2×#11758194—22no—
65C2×#11758194—22no—
66C2×#11758194—22no—
67C22×#92418C2312yes—
68#14519775—22no—
69#14519775—22no—
70#14519773—22no—
71#14519773—22no—
72#14519766—22no—
73#14519766—22no—
74#14519764—22no—
75#14519764—22no—
76#14519749—28no—
77#14519749—28no—
78C4×C22⋊D61—28no—
79C4×C22⋊D61—28no—
80C2×C4⋊Dic61—22no—
81C2×C4⋊Dic61—22no—
82C2×C4⋊Dic61—21no—
83C2×C4⋊Dic61—22no—
84C2×C4⋊Dic61—22no—
85C2×C4⋊Dic61—44no—
86C2×C4⋊Dic61C2312yes—
87C2×#11758196—21no—
88C2×#11758196—21no—
89C2×C22⋊Dic61—21no—
90C2×C22⋊Dic61—21no—
91C2×#11758198—21no—
92C2×#11758198—21no—
93C2×C4×Dic61—22no—
94C2×C4×Dic61—22no—
95C2×C4×Dic61D411yescharacteristic
96C2×C4×Dic61D411yescharacteristic
97C2×C4×Dic61C2311yescharacteristic
98C2×C4×Dic61C2311yescharacteristic
99#14519702—24no—
100#14519701—24no—
101#14519700—24no—
102#14519699—24no—
103#14519698—24no—
104#14519697—24no—
105#14519684—22no—
106#14519684—22no—
107C2×#41×C61—22no—
108C2×#41×C61—22no—
109C2×#41×C61—22no—
110C2×#41×C61—22no—
111C2×#41×C61—22no—
112C2×#41×C61D414yes—
113C22×Q8×C61C2311yescharacteristic
114C22×D4×C61—21no—
115C22×D4×C61C2311yescharacteristic
116C23×C4×C61—21no—
117C23×C4×C61—21no—
118C23×C4×C61C2311yescharacteristic
119C2×M16×C61—22no—
120C2×M16×C61—22no—
121C2×M16×C61—22no—
122C22×C8×C61C2312yes—
123C2×C4⋊C4×C61—21no—
124C2×C4⋊C4×C61—22no—
125C2×C4⋊C4×C61D414yescomplemented
126C2×C4⋊C4×C61C2312yes—
127#103×C61—24no—
128#102×C61—24no—
129C24×C61—21no—
130C24×C61C2×D411yescharacteristic
131C23×D61—21no—
132#41×C61—28no—
133#41×C61—28no—
134#41×C61—44no—
135#41×C61—44no—
136C2×Q8×C61—21no—
137C2×Q8×C61—21no—
138C2×Q8×C61—21no—
139C2×Q8×C61—21no—
140C2×Q8×C61—21no—
141C2×Q8×C61C2×D412yes—
142C2×D4×C61—24no—
143C2×D4×C61—21no—
144C2×D4×C61—21no—
145C2×D4×C61—21no—
146C2×D4×C61—21no—
147C2×D4×C61—21no—
148C2×D4×C61—42no—
149C2×D4×C61—42no—
150C2×D4×C61C2×D412yes—
151C22×C4×C61—24no—
152C22×C4×C61—22no—
153C22×C4×C61—21no—
154C22×C4×C61—24no—
155C22×C4×C61—42no—
156C22×C4×C61—42no—
157C22×C4×C61—42no—
158C22×C4×C61—42no—
159C22×C4×C61C2×D411yescharacteristic
160C22×C4×C61C2×D412yes—
161C22×C4×C61C2×D412yes—
162C22×C4×C61C2×D412yes—
163C22×C4×C61#4112yes—
164C22×C4×C61#4112yes—
165C22×C4×C61#4112yes—
166C22×C4×C61C2411yescharacteristic
167C2×C22⋊D61—24no—
168C2×C22⋊D61—24no—
169C2×C22⋊D61—24no—
170C2×C22⋊D61—42no—
171C2×C22⋊D61—42no—
172C2×C22⋊D61—42no—
173C2×C22⋊D61—42no—
174C2×C22⋊D61—42no—
175C2×C22⋊D61—42no—
176C22×Dic61—22no—
177C22×Dic61—22no—
178C22×Dic61—21no—
179C22×Dic61—22no—
180C22×Dic61—22no—
181C22×Dic61—22no—
182C22×Dic61—41no—
183C22×Dic61—41no—
184C22×Dic61—42no—
185C22×Dic61—42no—
186C22×Dic61—42no—
187C22×Dic61C2×D411yescharacteristic
188C22×Dic61C2×D411yescharacteristic
189C22×Dic61C2×D411yescharacteristic
190C22×Dic61C2×D411yescharacteristic
191#11758222—28no—
192#11758222—28no—
193#11758222—44no—
194#11758222—44no—
195C2×D244—21no—
196C2×D244—21no—
197C2×D244—21no—
198C2×D244—21no—
199C2×D244—21no—
200C2×D244C2×D412yes—
201C2×C4×D61—24no—
202C2×C4×D61—42no—
203C2×C4×D61—42no—
204C2×Dic122—21no—
205C2×Dic122—21no—
206C2×Dic122—21no—
207C2×Dic122—21no—
208C2×Dic122—21no—
209C2×Dic122C2×D412yes—
210M16×C61—44no—
211C2×C8×C61—22no—
212C2×C8×C61—22no—
213C2×C8×C61—22no—
214C4⋊C4×C61—24no—
215C4⋊C4×C61—22no—
216C4⋊C4×C61C2×D414yes—
217C22⋊Dic61—24no—
218C22⋊Dic61—24no—
219#11758198—24no—
220#11758198—24no—
221C4⋊Dic61—22no—
222C4⋊Dic61—22no—
223C4⋊Dic61—44no—
224C4⋊Dic61—42no—
225C4⋊Dic61—44no—
226#11758196—24no—
227#11758196—24no—
228C4×Dic61—22no—
229C4×Dic61—22no—
230C4×Dic61—21no—
231C4×Dic61—21no—
232C4×Dic61—21no—
233C4×Dic61—21no—
234#11758194—44no—
235C2×#92418—22no—
236C2×#92418—22no—
237C2×#92418—22no—
238C23×C61—21no—
239C23×C61—21no—
240C23×C61—21no—
241C23×C61—21no—
242C23×C61—22no—
243C23×C61—41no—
244C23×C61—41no—
245C23×C61—41no—
246C23×C61—41no—
247C23×C61—41no—
248C23×C61—41no—
249C23×C61#12012yes—
250C23×C61#12112yes—
251C23×C61#12412yes—
252C23×C61C22×D411yescharacteristic
253C22×D61—22no—
254C22×D61—41no—
255C22×D61—41no—
256C22×D61—41no—
257C22×D61—41no—
258C22×D61—41no—
259C22×D61—41no—
260Q8×C61—22no—
261Q8×C61—22no—
262Q8×C61—41no—
263Q8×C61—41no—
264D4×C61—22no—
265D4×C61—22no—
266D4×C61—48no—
267D4×C61—41no—
268D4×C61—41no—
269C2×C4×C61—22no—
270C2×C4×C61—24no—
271C2×C4×C61—48no—
272C2×C4×C61—41no—
273C2×C4×C61—41no—
274C2×C4×C61—42no—
275C2×C4×C61—42no—
276C2×C4×C61—48no—
277C2×C4×C61#12012yes—
278C2×C4×C61#12114yes—
279C2×C4×C61#12114yes—
280C2×C4×C61#12112yes—
281C2×C4×C61#12314yes—
282C2×C4×C61#12314yes—
283C2×C4×C61#12412yes—
284C2×C4×C61C22×D411yescharacteristic
285C2×C4×C61C22×D411yescharacteristic
286C2×C4×C61C22×D411yescharacteristic
287C2×C4×C61C2×#4111yescharacteristic
288C2×C4×C61C2×#4111yescharacteristic
289C2×C4×C61C2×#4111yescharacteristic
290C22⋊D61—48no—
291C22⋊D61—48no—
292C22⋊D61—48no—
293C2×Dic61—21no—
294C2×Dic61—21no—
295C2×Dic61—21no—
296C2×Dic61—21no—
297C2×Dic61—21no—
298C2×Dic61—21no—
299C2×Dic61—22no—
300C2×Dic61—21no—
301C2×Dic61—21no—
302C2×Dic61—21no—
303C2×Dic61—21no—
304C2×Dic61—44no—
305C2×Dic61—44no—
306C2×Dic61—41no—
307C2×Dic61—41no—
308C2×Dic61—42no—
309C2×Dic61—42no—
310C2×Dic61—42no—
311C2×Dic61—84no—
312C2×Dic61AGL(1,ℤ/8)12yes—
313C2×Dic61#13712yes—
314D244—22no—
315D244—22no—
316D244—41no—
317D244—41no—
318C4×D61—48no—
319Dic122—22no—
320Dic122—22no—
321Dic122—41no—
322Dic122—41no—
323C8×C61—42no—
324#92418—42no—
325#23508—611nomaximal, Sylow
326C22×C61—22no—
327C22×C61—22no—
328C22×C61—22no—
329C22×C61—22no—
330C22×C61—22no—
331C22×C61—22no—
332C22×C61—42no—
333C22×C61—42no—
334C22×C61—42no—
335C22×C61—81no—
336C22×C61—81no—
337C22×C61—81no—
338C22×C61—81no—
339C22×C61#39414yes—
340C22×C61C2×#12011yescharacteristic
341C22×C61C2×#12111yescharacteristic
342C22×C61C2×#12411yescharacteristic
343C22×C61C2×AGL(1,ℤ/8)11yescharacteristic
344C22×C61C2×#13711yescharacteristic
345C22×C61#57511yescharacteristic
346C22×C61#57511yescharacteristic
347C2×D61—42no—
348C2×D61—42no—
349C2×D61—42no—
350C2×D61—81no—
351C2×D61—81no—
352C2×D61—81no—
353C2×D61—81no—
354C4×C61—42no—
355C4×C61—44no—
356C4×C61#39414yes—
357C4×C61C2×#12111yescharacteristic
358C4×C61C2×#12111yescharacteristic
359C4×C61C2×#12311yescharacteristic
360C4×C61C2×#12311yescharacteristic
361Dic61—22no—
362Dic61—22no—
363Dic61—42no—
364Dic61—41no—
365Dic61—41no—
366Dic61—82no—
367C2×#532—611no—
368C2×#417—611no—
369C2×#417—611no—
370C2×#417—611no—
371C2×#417D6111yescharacteristic, complemented
372C2×#389—611no—
373#2043—612no—
374#2042—612no—
375#2042—612no—
376#2041—612no—
377#1728—611no—
378C2×C61—24no—
379C2×C61—82no—
380C2×C61C2×#39411yescharacteristic
381C2×C61#300611yescharacteristic
382C2×C61#300711yescharacteristic
383C2×C61#303611yescharacteristic
384C2×C61#303711yescharacteristic
385C2×C61#314111yescharacteristic
386C2×C61#314211yescharacteristic
387D61—82no—
388C22×#41—611no—
389C22×#41C2×D6111yescharacteristic
390C22×M16—611no—
391C22×M16C2×D6111yescharacteristic
392#532—1224no—
393#532—1224no—
394C2×C4⋊Q8—611no—
395C2×#127—611no—
396C2×#124—611no—
397C2×#124—611no—
398C2×#121—1221no—
399C2×#121—1221no—
400C2×C4×D4—1221no—
401C2×C4×D4—1221no—
402C22×C4⋊C4—611no—
403C22×C4⋊C4—1221no—
404C22×C4⋊C4C2×D6111yescharacteristic
405C22×C42—611no—
406#417—24no—
407#417—1224no—
408#417—1224no—
409#417—1224no—
410C2×#103—612no—
411C2×#103—612no—
412C2×#103—612no—
413C2×#103C2×D6112yes—
414C2×#102—612no—
415C2×#102—612no—
416C2×#102—612no—
417C2×#102C2×D6112yes—
418#389—612no—
419#389—612no—
420#389—1221no—
421#389—1221no—
422C2×#95—1221no—
423#336—612no—
424#336—612no—
425C61#2350811yescharacteristic, complemented, Sylow
426C2×#41—22no—
427C2×#41—22no—
428C2×#41—22no—
429C2×#41—22no—
430C2×#41—22no—
431C2×#41—614no—
432C2×#41—1222no—
433C2×#41—1222no—
434C2×#41—1222no—
435C2×#41—1222no—
436C2×#41—1222no—
437C2×#41D24414yes—
438C22×Q8—611no—
439C22×Q8C22×D6111yescharacteristic
440C22×D4—21no—
441C22×D4—611no—
442C22×D4—1221no—
443C22×D4—1221no—
444C22×D4—1221no—
445C22×D4C22×D6111yescharacteristic
446C23×C4—21no—
447C23×C4—21no—
448C23×C4—611no—
449C23×C4—611no—
450C23×C4—1221no—
451C23×C4—1221no—
452C23×C4C22×D6111yescharacteristic
453C2×M16—22no—
454C2×M16—22no—
455C2×M16—22no—
456C2×M16—1222no—
457C2×M16—1222no—
458C2×M16—1222no—
459C22×C8—612no—
460C22×C8C22×D6112yes—
461C4⋊Q8—1222no—
462C4⋊Q8—1222no—
463#127—1222no—
464#127—1222no—
465#124—1222no—
466#124—1222no—
467#124—1222no—
468#124—1222no—
469#121—1228no—
470#121—1228no—
471C4×D4—1228no—
472C4×D4—1228no—
473C2×C4⋊C4—21no—
474C2×C4⋊C4—22no—
475C2×C4⋊C4—612no—
476C2×C4⋊C4—1221no—
477C2×C4⋊C4—1221no—
478C2×C4⋊C4—1222no—
479C2×C4⋊C4—1222no—
480C2×C4⋊C4—1222no—
481C2×C4⋊C4—1222no—
482C2×C4⋊C4—1221no—
483C2×C4⋊C4—2444no—
484C2×C4⋊C4C22⋊D6114yescomplemented
485C2×C4⋊C4C22×D6112yes—
486C2×C22⋊C4—1221no—
487C2×C22⋊C4—1221no—
488C2×C22⋊C4—1221no—
489C2×C22⋊C4—1221no—
490C2×C42—611no—
491C2×C42—611no—
492C2×C42—611no—
493C2×C42—611no—
494C2×C42—1222no—
495C2×C42—1222no—
496#103—24no—
497#103—1224no—
498#103—1224no—
499#103—1224no—
500#102—24no—
501#102—1224no—
502#102—1224no—
503#102—1224no—
504#95—1222no—
505#95—1222no—
506C24—21no—
507C24—1221no—
508C24D4×D6111yescharacteristic
509#41—28no—
510#41—28no—
511#41—44no—
512#41—44no—
513#41—1228no—
514#41—1228no—
515#41—2444no—
516#41—2444no—
517C2×Q8—21no—
518C2×Q8—21no—
519C2×Q8—21no—
520C2×Q8—21no—
521C2×Q8—21no—
522C2×Q8—612no—
523C2×Q8—1221no—
524C2×Q8—1221no—
525C2×Q8—1221no—
526C2×Q8—1221no—
527C2×Q8—1221no—
528C2×Q8C2×D24412yes—
529C2×D4—24no—
530C2×D4—21no—
531C2×D4—21no—
532C2×D4—21no—
533C2×D4—21no—
534C2×D4—21no—
535C2×D4—42no—
536C2×D4—42no—
537C2×D4—612no—
538C2×D4—1224no—
539C2×D4—1224no—
540C2×D4—1224no—
541C2×D4—1221no—
542C2×D4—1221no—
543C2×D4—1221no—
544C2×D4—1221no—
545C2×D4—1221no—
546C2×D4—2442no—
547C2×D4—2442no—
548C2×D4—2442no—
549C2×D4—2442no—
550C2×D4—2442no—
551C2×D4—2442no—
552C2×D4C2×D24412yes—
553C22×C4—22no—
554C22×C4—21no—
555C22×C4—24no—
556C22×C4—24no—
557C22×C4—42no—
558C22×C4—42no—
559C22×C4—42no—
560C22×C4—42no—
561C22×C4—611no—
562C22×C4—611no—
563C22×C4—611no—
564C22×C4—611no—
565C22×C4—1222no—
566C22×C4—1222no—
567C22×C4—1221no—
568C22×C4—1222no—
569C22×C4—1222no—
570C22×C4—1224no—
571C22×C4—1222no—
572C22×C4—2441no—
573C22×C4—2441no—
574C22×C4—2442no—
575C22×C4—2442no—
576C22×C4—2442no—
577C22×C4—2442no—
578C22×C4—2442no—
579C22×C4C2×D24412yes—
580C22×C4#1175822212yes—
581C22×C4D4×D6112yes—
582C22×C4D4×D6111yescharacteristic
583C22×C4#1175822412yes—
584C22×C4#1175822412yes—
585C22×C4C2×C22⋊D6112yes—
586C22×C4C23×D6111yescharacteristic
587M16—44no—
588M16—2444no—
589C2×C8—22no—
590C2×C8—22no—
591C2×C8—22no—
592C2×C8—1222no—
593C2×C8—1222no—
594C2×C8—1222no—
595C4⋊C4—22no—
596C4⋊C4—24no—
597C4⋊C4—1224no—
598C4⋊C4—1224no—
599C4⋊C4—1222no—
600C4⋊C4—1222no—
601C4⋊C4—2444no—
602C4⋊C4—2444no—
603C4⋊C4—2442no—
604C4⋊C4C2×C22⋊D6114yes—
605C22⋊C4—1224no—
606C22⋊C4—1224no—
607C22⋊C4—1224no—
608C22⋊C4—1224no—
609C42—1221no—
610C42—1221no—
611C42—1221no—
612C42—1221no—
613C42—1222no—
614C42—1222no—
615C23—21no—
616C23—21no—
617C23—21no—
618C23—21no—
619C23—22no—
620C23—41no—
621C23—41no—
622C23—41no—
623C23—41no—
624C23—41no—
625C23—41no—
626C23—1222no—
627C23—2441no—
628C23—2441no—
629C23—2441no—
630C23—2441no—
631C23—2441no—
632C23—2441no—
633C23#1451974712yes—
634C23#1451974912yes—
635C23#1451976312yes—
636C23C2×D4×D6111yescharacteristic
637Q8—22no—
638Q8—22no—
639Q8—41no—
640Q8—41no—
641Q8—1222no—
642Q8—1222no—
643Q8—2441no—
644Q8—2441no—
645D4—22no—
646D4—22no—
647D4—48no—
648D4—41no—
649D4—41no—
650D4—1222no—
651D4—1222no—
652D4—2448no—
653D4—2448no—
654D4—2448no—
655D4—2441no—
656D4—2441no—
657C2×C4—22no—
658C2×C4—24no—
659C2×C4—48no—
660C2×C4—41no—
661C2×C4—41no—
662C2×C4—42no—
663C2×C4—42no—
664C2×C4—48no—
665C2×C4—612no—
666C2×C4—612no—
667C2×C4—1221no—
668C2×C4—1221no—
669C2×C4—1221no—
670C2×C4—1221no—
671C2×C4—1221no—
672C2×C4—1221no—
673C2×C4—1222no—
674C2×C4—1221no—
675C2×C4—1221no—
676C2×C4—1221no—
677C2×C4—1221no—
678C2×C4—4884no—
679C2×C4—2444no—
680C2×C4—2444no—
681C2×C4—2442no—
682C2×C4—2442no—
683C2×C4—2442no—
684C2×C4—2441no—
685C2×C4—2441no—
686C2×C4—2448no—
687C2×C4#1451974712yes—
688C2×C4#1451974814yes—
689C2×C4#1451974912yes—
690C2×C4#1451975114yes—
691C2×C4#1451975914yes—
692C2×C4#1451976114yes—
693C2×C4#1451976312yes—
694C2×C4C2×D4×D6111yescharacteristic
695C2×C4C22×C22⋊D6111yescharacteristic
696C2×C4C22×D24411yescharacteristic
697C2×C4C2×#1175822411yescharacteristic
698C2×C4C2×#1175822411yescharacteristic
699C2×C4C2×#1175822211yescharacteristic
700C8—42no—
701C8—2442no—
702C22—22no—
703C22—22no—
704C22—22no—
705C22—22no—
706C22—22no—
707C22—22no—
708C22—42no—
709C22—42no—
710C22—42no—
711C22—81no—
712C22—81no—
713C22—81no—
714C22—81no—
715C22—4881no—
716C22—4881no—
717C22—4881no—
718C22—4881no—
719C22—2442no—
720C22—2442no—
721C22—2442no—
722C22#1683967814yes—
723C22C2×#1451974711yescharacteristic
724C22C2×#1451974911yescharacteristic
725C22C2×#1451976311yescharacteristic
726C22AGL(1,ℤ/8)×D6111yescharacteristic
727C22#137×D6111yescharacteristic
728C22#1684055811yescharacteristic
729C22#1684056111yescharacteristic
730C4—42no—
731C4—44no—
732C4—1222no—
733C4—1222no—
734C4—4882no—
735C4—2442no—
736C4—2441no—
737C4—2441no—
738C4#1683967814yes—
739C4C2×#1451974811yescharacteristic
740C4C2×#1451975111yescharacteristic
741C4C2×#1451975911yescharacteristic
742C4C2×#1451976111yescharacteristic
743C2—24no—
744C2—82no—
745C2—4882no—
746C2C2×#1683967811yescharacteristic
747C2#2145507211yescharacteristic
748C2#2145508011yescharacteristic
749C2#2145528011yescharacteristic
750C2#2145528811yescharacteristic
751C2#2145621011yescharacteristic
752C2#2145621711yescharacteristic
subgroupG/H
centerC23C2×D4×D61
commutator, cosocleC22×C4×C61C24
FrattiniC22×C4C23×D61
FittingC2×C61×#417C2
socleC23×C61C22×D4
prime radicalC2×#16840308C2
hypercenterC2×#417D61
hypocenterC61#23508
LCSG ▷ C22×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C23 ◁ C23×C4 ◁ C2×#417

Complements

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

NH ≅ G/Ntype
2. C2×#16839764C2semidirect
3. C2×#16839763C2semidirect
4. C2×#16839761C2semidirect
5. C2×#16839661C2semidirect
6. #21447064C2semidirect
7. #21447059C2semidirect
8. #21447057C2semidirect
9. #21447052C2semidirect
10. #21445512C2semidirect
11. C2×C61×#417C2semidirect
125. C2×C4⋊C4×C61D4semidirect
371. C2×#417D61semidirect
425. C61#23508semidirect
484. C2×C4⋊C4C22⋊D61semidirect

Maximal subgroups

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

subgroupindex
C2×#168403082
C2×#168397642
C2×#168397632
C2×#168397612
C2×#168396612
#214470642
#214470592
#214470572
#214470522
#214455122
C2×C61×#4172
#2350861