Finite Group Databasebeta

← #29719009

Subgroups — #29719009

Order 15616.

1064 conjugacy classes of subgroups.

The subgroup lattice has 738 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16839899C211yesmaximal, characteristic
2C2×#103×D61C211yesmaximal, characteristic, complemented
3#21450289C211yesmaximal, characteristic
4#21448653C211yesmaximal, characteristic, complemented
5#21447230C211yesmaximal, characteristic, complemented
6#21447227C211yesmaximal, characteristic, complemented
7#21447132C211yesmaximal, characteristic, complemented
8#21446244C211yesmaximal, characteristic
9#21446177C211yesmaximal, characteristic, complemented
10#21446171C211yesmaximal, characteristic, complemented
11#21445995C211yesmaximal, characteristic, complemented
12#21445904C211yesmaximal, characteristic, complemented
13#21445825C211yesmaximal, characteristic, complemented
14#21445823C211yesmaximal, characteristic, complemented
15C61×#2055C211yesmaximal, characteristic, complemented
16C22×Q8×D61C2211yescharacteristic
17C22×#11758200C2211yescharacteristic
18C22×C8×D61C2211yescharacteristic
19C2×#14519759—21no—
20C2×#14519759—21no—
21C2×#14519748C2211yescharacteristic
22C2×C4×Dic122C2211yescharacteristic
23C2×#14519742C2211yescharacteristic
24C2×C4⋊C4×D61C2211yescharacteristic
25#16839899—24no—
26C2×#14519706C2211yescharacteristic
27C2×#14519702C2211yescharacteristic
28C2×#14519702C2211yescharacteristic
29C2×#14519701C2211yescharacteristic
30C2×#14519701C2211yescharacteristic
31C2×#14519700C2211yescharacteristic
32#103×D61—24no—
33C2×#14519698C2211yescharacteristic
34C2×#14519689C2211yescharacteristic
35#16839698—21no—
36#16839698—21no—
37#16839669C2211yescharacteristic
38#16839666—21no—
39#16839666—21no—
40#16839665C2211yescharacteristic
41#16839632C2211yescharacteristic
42#16839631C2211yescharacteristic
43#16839621—21no—
44#16839619C2211yescharacteristic
45C4×#11758198C2211yescharacteristic
46#16839609—21no—
47#16839525C2211yescharacteristic
48#16839525C2211yescharacteristic
49#16839524C2211yescharacteristic
50#16839524C2211yescharacteristic
51#16839524C2211yescharacteristic
52#16839517C2211yescharacteristic
53#16839516C2211yescharacteristic
54C22×SD16×C61C2211yescharacteristic
55C2×C4⋊C8×C61C2211yescharacteristic
56C2×#103×C61C2211yescharacteristic
57C2×#102×C61C2211yescharacteristic
58C61×#391C2211yescharacteristic
59C61×#390C2211yescharacteristic
60C61×#340C2211yescharacteristic
61C22×Dic122—21no—
62C22×Dic122C2311yescharacteristic
63C2×Q8×D61—22no—
64C2×Q8×D61—22no—
65C2×Q8×D61—22no—
66C2×Q8×D61—41no—
67C2×Q8×D61—41no—
68C2×Q8×D61D414yes—
69C22×C22⋊D61—21no—
70C22×C4×D61—21no—
71C22×C4×D61—21no—
72C22×C4×D61C2311yescharacteristic
73C2×#11758200—22no—
74C2×#11758200—22no—
75C2×#11758200—22no—
76C22×#92418C2311yescharacteristic
77C22×#92418C2311yescharacteristic
78C2×C8×D61—22no—
79C2×C8×D61—41no—
80C2×C8×D61—41no—
81#14519759—44no—
82#14519759—44no—
83#14519748—22no—
84#14519748—22no—
85C4×Dic122—22no—
86C4×Dic122—41no—
87#14519742—22no—
88#14519742—41no—
89C2×C4⋊Dic61—21no—
90C2×C4⋊Dic61—21no—
91C2×C4⋊Dic61C2311yescharacteristic
92C2×C4⋊Dic61C2311yescharacteristic
93C2×C4⋊Dic61C2311yescharacteristic
94C2×#11758196—21no—
95C2×#11758196—21no—
96C2×#11758196—21no—
97C2×#11758196—21no—
98C2×#11758196—21no—
99C4⋊C4×D61—22no—
100C4⋊C4×D61—22no—
101C2×C22⋊Dic61—21no—
102C2×C22⋊Dic61—21no—
103C2×C22⋊Dic61—21no—
104C2×#11758198—21no—
105C2×#11758198D411yescharacteristic
106C2×#11758198D411yescharacteristic
107C2×C4×Dic61—21no—
108C2×C4×Dic61—21no—
109C2×C4×Dic61C2311yescharacteristic
110#14519706—41no—
111#14519702—22no—
112#14519702—22no—
113#14519701—22no—
114#14519701—22no—
115#14519700—22no—
116#14519698—41no—
117#14519689—22no—
118#14519684—21no—
119#14519684—21no—
120#14519684—21no—
121#14519684D411yescharacteristic
122#14519684D411yescharacteristic
123C22×Q8×C61C2311yescharacteristic
124C22×D4×C61C2311yescharacteristic
125C2×SD16×C61—22no—
126C2×SD16×C61—41no—
127C2×SD16×C61—41no—
128C22×C8×C61C2311yescharacteristic
129C22×C8×C61C2311yescharacteristic
130C2×C4⋊C4×C61C2311yescharacteristic
131C2×C4⋊C4×C61C2311yescharacteristic
132C2×C22⋊C4×C61—21no—
133C2×C22⋊C4×C61—21no—
134C2×C42×C61C2311yescharacteristic
135C4⋊C8×C61—41no—
136#103×C61—22no—
137#102×C61—41no—
138#95×C61—21no—
139#95×C61—21no—
140C24×C61—21no—
141C23×D61C2×D411yescharacteristic
142C2×Q8×C61—21no—
143C2×Q8×C61—21no—
144C2×Q8×C61—21no—
145C2×Q8×C61—21no—
146C2×Q8×C61—21no—
147C2×Q8×C61C2×D412yes—
148C2×D4×C61—21no—
149C2×D4×C61—21no—
150C2×D4×C61—21no—
151C2×D4×C61—21no—
152C2×D4×C61—21no—
153C2×D4×C61—21no—
154C22×C4×C61—21no—
155C22×C4×C61—21no—
156C22×C4×C61—21no—
157C22×C4×C61C2×D411yescharacteristic
158C22×C4×C61C2×D411yescharacteristic
159C22×C4×C61C2411yescharacteristic
160C2×C22⋊D61—42no—
161C2×C22⋊D61—42no—
162C2×C22⋊D61—42no—
163C22×Dic61—21no—
164C22×Dic61—21no—
165C22×Dic61—21no—
166C22×Dic61—21no—
167C22×Dic61C2×D411yescharacteristic
168C22×Dic61C2×D411yescharacteristic
169C22×Dic61C2×D411yescharacteristic
170Q8×D61—28no—
171Q8×D61—44no—
172Q8×D61—44no—
173Q8×D61—44no—
174C2×C4×D61—21no—
175C2×C4×D61—21no—
176C2×C4×D61—21no—
177C2×C4×D61—21no—
178C2×C4×D61—24no—
179C2×C4×D61—42no—
180C2×C4×D61—42no—
181C2×C4×D61—42no—
182C2×C4×D61—42no—
183C2×C4×D61—42no—
184C2×C4×D61C2×D412yes—
185C2×C4×D61#4112yes—
186C2×Dic122—21no—
187C2×Dic122—21no—
188C2×Dic122—21no—
189C2×Dic122—24no—
190C2×Dic122—42no—
191C2×Dic122—42no—
192C2×Dic122C2×D412yes—
193C2×Dic122#4112yes—
194C2×Dic122#4112yes—
195SD16×C61—44no—
196C2×C8×C61—21no—
197C2×C8×C61—21no—
198C2×C8×C61—21no—
199C2×C8×C61—21no—
200C2×C8×C61—21no—
201C2×C8×C61—21no—
202C4⋊C4×C61—21no—
203C4⋊C4×C61—21no—
204C4⋊C4×C61—21no—
205C4⋊C4×C61—21no—
206C22⋊C4×C61—42no—
207C22⋊C4×C61—42no—
208C42×C61—21no—
209C42×C61—21no—
210C22⋊Dic61—42no—
211C22⋊Dic61—42no—
212C22⋊Dic61—42no—
213#11758200—44no—
214#11758198—22no—
215#11758198—42no—
216#11758198SD1614yescomplemented
217C4⋊Dic61—21no—
218C4⋊Dic61—21no—
219C4⋊Dic61—21no—
220C4⋊Dic61—21no—
221C4⋊Dic61—21no—
222C4⋊Dic61—21no—
223C4⋊Dic61—42no—
224C4⋊Dic61—42no—
225#11758196—42no—
226#11758196—42no—
227#11758196—42no—
228#11758196—42no—
229#11758196—42no—
230C4×Dic61—21no—
231C4×Dic61—21no—
232C4×Dic61—42no—
233C4×Dic61—42no—
234C2×#92418—21no—
235C2×#92418—21no—
236C2×#92418—21no—
237C2×#92418—21no—
238C2×#92418—21no—
239C2×#92418—21no—
240C8×D61—44no—
241C23×C61—41no—
242C23×C61—41no—
243C23×C61—41no—
244C23×C61—41no—
245C23×C61—41no—
246C23×C61—41no—
247C23×C61—41no—
248C23×C61C22×D411yescharacteristic
249C22×D61—21no—
250C22×D61—21no—
251C22×D61—21no—
252C22×D61—21no—
253C22×D61#12112yes—
254C22×D61C2×SD1612yes—
255C22×D61AGL(1,ℤ/8)12yes—
256Q8×C61—22no—
257Q8×C61—22no—
258Q8×C61—41no—
259Q8×C61—41no—
260D4×C61—41no—
261D4×C61—41no—
262D4×C61—41no—
263D4×C61—41no—
264C2×C4×C61—21no—
265C2×C4×C61—21no—
266C2×C4×C61—22no—
267C2×C4×C61—21no—
268C2×C4×C61—21no—
269C2×C4×C61—21no—
270C2×C4×C61—41no—
271C2×C4×C61—41no—
272C2×C4×C61—41no—
273C2×C4×C61—41no—
274C2×C4×C61—41no—
275C2×C4×C61—41no—
276C2×C4×C61—41no—
277C2×C4×C61—41no—
278C2×C4×C61C2×SD1612yes—
279C2×C4×C61C22×D411yescharacteristic
280C2×C4×C61C2×#4111yescharacteristic
281C2×C4×C61C2×#4111yescharacteristic
282C2×C4×C61C2×#4111yescharacteristic
283C2×C4×C61H(5,𝔽2)11yescharacteristic
284C2×C4×C61H(5,𝔽2)11yescharacteristic
285C22⋊D61—84no—
286C2×Dic61—22no—
287C2×Dic61—21no—
288C2×Dic61—22no—
289C2×Dic61—22no—
290C2×Dic61—21no—
291C2×Dic61—21no—
292C2×Dic61—21no—
293C2×Dic61—21no—
294C2×Dic61—21no—
295C2×Dic61—21no—
296C2×Dic61—41no—
297C2×Dic61—41no—
298C2×Dic61—41no—
299C2×Dic61—41no—
300C2×Dic61—41no—
301C2×Dic61—41no—
302C2×Dic61—41no—
303C2×Dic61—41no—
304C2×Dic61—41no—
305C2×Dic61#12112yes—
306C2×Dic61C2×SD1612yes—
307C4×D61—22no—
308C4×D61—22no—
309C4×D61—22no—
310C4×D61—22no—
311C4×D61—48no—
312C4×D61—84no—
313Dic122—22no—
314Dic122—22no—
315Dic122—22no—
316Dic122—48no—
317Dic122#12314yescomplemented
318C8×C61—41no—
319C8×C61—41no—
320#92418—41no—
321#92418—41no—
322#24528—611nomaximal, Sylow
323C22×C61—81no—
324C22×C61—81no—
325C22×C61—81no—
326C22×C61—81no—
327C22×C61—81no—
328C22×C61—81no—
329C22×C61—81no—
330C22×C61C2×#12111yescharacteristic
331C22×C61#54611yescharacteristic
332C22×C61#54611yescharacteristic
333C22×C61C22×SD1611yescharacteristic
334C22×C61C2×AGL(1,ℤ/8)11yescharacteristic
335C22×C61#57811yescharacteristic
336C22×C61#57811yescharacteristic
337C2×D61—22no—
338C2×D61—22no—
339C2×D61—22no—
340C2×D61—22no—
341C2×D61—22no—
342C2×D61—22no—
343C2×D61#46014yes—
344C4×C61—22no—
345C4×C61—42no—
346C4×C61—41no—
347C4×C61—81no—
348C4×C61—81no—
349C4×C61C2×#12311yescharacteristic
350C4×C61#53411yescharacteristic
351C4×C61#55111yescharacteristic
352C4×C61#55111yescharacteristic
353Dic61—24no—
354Dic61—22no—
355Dic61—22no—
356Dic61—41no—
357Dic61—81no—
358Dic61—81no—
359Dic61—81no—
360C2×#448—611no—
361C22×#103—611no—
362#2501—611no—
363Q8×C22⋊C4—611no—
364#2072—611no—
365#2072—611no—
366#2055—611no—
367#2055D6111yescharacteristic, complemented
368#1893—611no—
369#1880—611no—
370#1880—611no—
371#1850—611no—
372#1823—611no—
373#1803—611no—
374#1803—611no—
375C2×C61—161no—
376C2×C61#241211yescharacteristic
377C2×C61C2×#46011yescharacteristic
378C2×C61#304411yescharacteristic
379C2×C61#329811yescharacteristic
380C2×C61#329811yescharacteristic
381C2×C61#330811yescharacteristic
382C2×C61#330811yescharacteristic
383D61—24no—
384C23×Q8—611no—
385C22×SD16—611no—
386C22×SD16C2×D6111yescharacteristic
387C23×C8—611no—
388C2×#123—1221no—
389C2×#123—1221no—
390C2×#121—611no—
391C2×C4×Q8—611no—
392C2×C4×Q8—611no—
393C22×C4⋊C4—611no—
394#448—1224no—
395C2×C4⋊C8—611no—
396C2×C4⋊C8C2×D6111yescharacteristic
397C2×#103—611no—
398C2×#103—611no—
399C2×#103—611no—
400C2×#103—611no—
401C2×#103—611no—
402C2×#103—1224no—
403C2×#103C2×D6111yescharacteristic
404C2×#102—611no—
405C2×#102C2×D6111yescharacteristic
406C2×C22⋊C8—611no—
407#399—1221no—
408#399—1221no—
409#391—611no—
410#391—1221no—
411#391—1221no—
412#391C2×D6111yescharacteristic
413#390—611no—
414#390C2×D6111yescharacteristic
415#384—611no—
416#384—611no—
417#380—611no—
418#380—1221no—
419C4×C22⋊C4—611no—
420C4×C22⋊C4—1221no—
421#340—611no—
422#340—611no—
423#340—611no—
424#340—611no—
425#340—611no—
426#340C2×D6111yescharacteristic
427#336—611no—
428#336—611no—
429C61#2452811yescharacteristic, complemented, Sylow
430C22×Q8—614no—
431C22×Q8—611no—
432C22×Q8—1221no—
433C22×Q8—1222no—
434C22×Q8—1222no—
435C22×Q8—1222no—
436C22×Q8—2441no—
437C22×Q8—2441no—
438C22×Q8C22×D6111yescharacteristic
439C22×D4—1221no—
440C22×D4C22×D6111yescharacteristic
441C23×C4—611no—
442C23×C4—1221no—
443C23×C4—1221no—
444C2×SD16—22no—
445C2×SD16—41no—
446C2×SD16—41no—
447C2×SD16—1222no—
448C2×SD16—1222no—
449C2×SD16—1222no—
450C22×C8—611no—
451C22×C8—611no—
452C22×C8—1222no—
453C22×C8—2441no—
454C22×C8—2441no—
455C22×C8C22×D6111yescharacteristic
456C22×C8C22×D6111yescharacteristic
457#123—2444no—
458#123—2444no—
459#121—1222no—
460#121—1222no—
461C4×Q8—1222no—
462C4×Q8—1222no—
463C4×Q8—2441no—
464C4×Q8—2441no—
465C2×C4⋊C4—611no—
466C2×C4⋊C4—611no—
467C2×C4⋊C4—611no—
468C2×C4⋊C4—1222no—
469C2×C4⋊C4—1222no—
470C2×C4⋊C4—1221no—
471C2×C4⋊C4—1221no—
472C2×C4⋊C4—1221no—
473C2×C4⋊C4—1221no—
474C2×C4⋊C4—1221no—
475C2×C4⋊C4—1221no—
476C2×C4⋊C4—1221no—
477C2×C4⋊C4C22×D6111yescharacteristic
478C2×C4⋊C4C22×D6111yescharacteristic
479C2×C22⋊C4—21no—
480C2×C22⋊C4—21no—
481C2×C22⋊C4—611no—
482C2×C22⋊C4—611no—
483C2×C22⋊C4—1221no—
484C2×C22⋊C4—1221no—
485C2×C22⋊C4—1221no—
486C2×C22⋊C4—1221no—
487C2×C42—611no—
488C2×C42—1221no—
489C2×C42—1221no—
490C2×C42C22×D6111yescharacteristic
491C4⋊C8—41no—
492C4⋊C8—2441no—
493#103—22no—
494#103—1222no—
495#103—1222no—
496#103—1222no—
497#103—1222no—
498#103—1222no—
499#102—41no—
500#102—2441no—
501C22⋊C8—1222no—
502#95—21no—
503#95—21no—
504#95—611no—
505#95—611no—
506#95—1221no—
507#95—1221no—
508#95—1221no—
509C24—21no—
510C24—611no—
511C2×Q8—21no—
512C2×Q8—21no—
513C2×Q8—21no—
514C2×Q8—21no—
515C2×Q8—21no—
516C2×Q8—612no—
517C2×Q8—612no—
518C2×Q8—612no—
519C2×Q8—1224no—
520C2×Q8—1221no—
521C2×Q8—1221no—
522C2×Q8—1221no—
523C2×Q8—1228no—
524C2×Q8—2442no—
525C2×Q8—2442no—
526C2×Q8—2444no—
527C2×Q8—2444no—
528C2×Q8—2444no—
529C2×Q8D4×D6112yes—
530C2×D4—21no—
531C2×D4—21no—
532C2×D4—21no—
533C2×D4—21no—
534C2×D4—21no—
535C2×D4—21no—
536C2×D4—2442no—
537C2×D4—2442no—
538C2×D4—2442no—
539C22×C4—21no—
540C22×C4—21no—
541C22×C4—21no—
542C22×C4—611no—
543C22×C4—611no—
544C22×C4—612no—
545C22×C4—612no—
546C22×C4—611no—
547C22×C4—1224no—
548C22×C4—1221no—
549C22×C4—1221no—
550C22×C4—1221no—
551C22×C4—1221no—
552C22×C4—1221no—
553C22×C4—1221no—
554C22×C4—1221no—
555C22×C4—1221no—
556C22×C4—2442no—
557C22×C4—2442no—
558C22×C4—2442no—
559C22×C4—2442no—
560C22×C4—2442no—
561C22×C4D4×D6111yescharacteristic
562C22×C4D4×D6111yescharacteristic
563C22×C4C23×D6111yescharacteristic
564SD16—44no—
565SD16—2444no—
566C2×C8—21no—
567C2×C8—21no—
568C2×C8—21no—
569C2×C8—21no—
570C2×C8—21no—
571C2×C8—21no—
572C2×C8—1221no—
573C2×C8—1221no—
574C2×C8—1221no—
575C2×C8—1221no—
576C2×C8—1221no—
577C2×C8—1221no—
578C2×C8—2444no—
579C4⋊C4—21no—
580C4⋊C4—21no—
581C4⋊C4—21no—
582C4⋊C4—21no—
583C4⋊C4—1221no—
584C4⋊C4—1221no—
585C4⋊C4—1221no—
586C4⋊C4—1221no—
587C4⋊C4—1221no—
588C4⋊C4—1221no—
589C4⋊C4—2442no—
590C4⋊C4—2442no—
591C4⋊C4—2442no—
592C4⋊C4—2442no—
593C4⋊C4—2442no—
594C4⋊C4—2442no—
595C4⋊C4—2442no—
596C22⋊C4—42no—
597C22⋊C4—42no—
598C22⋊C4—614no—
599C22⋊C4—1222no—
600C22⋊C4—2442no—
601C22⋊C4—2442no—
602C22⋊C4—2442no—
603C22⋊C4—2442no—
604C42—21no—
605C42—21no—
606C42—1221no—
607C42—1221no—
608C42—2442no—
609C42—2442no—
610C23—41no—
611C23—41no—
612C23—41no—
613C23—41no—
614C23—41no—
615C23—41no—
616C23—41no—
617C23—612no—
618C23—612no—
619C23—612no—
620C23—1221no—
621C23—1221no—
622C23—1221no—
623C23—1221no—
624C23C2×D4×D6111yescharacteristic
625Q8—22no—
626Q8—22no—
627Q8—41no—
628Q8—41no—
629Q8—614no—
630Q8—1222no—
631Q8—1222no—
632Q8—1222no—
633Q8—2448no—
634D4—41no—
635D4—41no—
636D4—41no—
637D4—41no—
638D4—4884no—
639C2×C4—21no—
640C2×C4—21no—
641C2×C4—22no—
642C2×C4—21no—
643C2×C4—21no—
644C2×C4—21no—
645C2×C4—41no—
646C2×C4—41no—
647C2×C4—41no—
648C2×C4—41no—
649C2×C4—41no—
650C2×C4—41no—
651C2×C4—41no—
652C2×C4—41no—
653C2×C4—612no—
654C2×C4—612no—
655C2×C4—1222no—
656C2×C4—1221no—
657C2×C4—1222no—
658C2×C4—1221no—
659C2×C4—1221no—
660C2×C4—1222no—
661C2×C4—1221no—
662C2×C4—1222no—
663C2×C4—1222no—
664C2×C4—1222no—
665C2×C4—1222no—
666C2×C4—1221no—
667C2×C4—1221no—
668C2×C4—1221no—
669C2×C4—4884no—
670C2×C4—2448no—
671C2×C4—2441no—
672C2×C4—2441no—
673C2×C4—2441no—
674C2×C4—2441no—
675C2×C4—2441no—
676C2×C4—2441no—
677C2×C4—2441no—
678C2×C4—2441no—
679C2×C4—2441no—
680C2×C4SD16×D6112yes—
681C2×C4C2×D4×D6111yescharacteristic
682C2×C4#41×D6111yescharacteristic
683C2×C4#41×D6111yescharacteristic
684C2×C4#41×D6111yescharacteristic
685C2×C4#1451982211yescharacteristic
686C2×C4#1451982211yescharacteristic
687C8—41no—
688C8—41no—
689C8—2441no—
690C8—2441no—
691C22—81no—
692C22—81no—
693C22—81no—
694C22—81no—
695C22—81no—
696C22—81no—
697C22—81no—
698C22—614no—
699C22—1222no—
700C22—1222no—
701C22—1222no—
702C22—1222no—
703C22—1222no—
704C22—1222no—
705C22#121×D6111yescharacteristic
706C22#1684040111yescharacteristic
707C22#1684040911yescharacteristic
708C22C2×SD16×D6111yescharacteristic
709C22AGL(1,ℤ/8)×D6111yescharacteristic
710C22#1684057611yescharacteristic
711C22#1684057811yescharacteristic
712C4—22no—
713C4—41no—
714C4—42no—
715C4—81no—
716C4—81no—
717C4—1222no—
718C4—1222no—
719C4—1224no—
720C4—4881no—
721C4—4881no—
722C4—4881no—
723C4—2441no—
724C4#123×D6111yescharacteristic
725C4#1684032211yescharacteristic
726C4#1684044011yescharacteristic
727C4#1684044211yescharacteristic
728C2—161no—
729C2—1224no—
730C2#2144921011yescharacteristic
731C2#460×D6111yescharacteristic
732C2#2145534711yescharacteristic
733C2#2145767911yescharacteristic
734C2#2145768711yescharacteristic
735C2#2145780511yescharacteristic
736C2#2145781711yescharacteristic
subgroupG/H
centerC23C2×D4×D61
commutator, cosocleC22×C4×C61C24
FrattiniC22×C4C23×D61
FittingC61×#2055C2
socleC23×C61C22×D4
prime radicalC2×#14519748C22
hypercenter#2055D61
hypocenterC61#24528
LCSG ▷ C22×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C23 ◁ C2×C42 ◁ #2055

Complements

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

NH ≅ G/Ntype
2. C2×#103×D61C2semidirect
4. #21448653C2semidirect
5. #21447230C2semidirect
6. #21447227C2semidirect
7. #21447132C2semidirect
9. #21446177C2semidirect
10. #21446171C2semidirect
11. #21445995C2semidirect
12. #21445904C2semidirect
13. #21445825C2semidirect
14. #21445823C2semidirect
15. C61×#2055C2semidirect
216. #11758198SD16semidirect
317. Dic122#123semidirect
367. #2055D61semidirect
429. C61#24528semidirect

Maximal subgroups

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

subgroupindex
C2×#168398992
C2×#103×D612
#214502892
#214486532
#214472302
#214472272
#214471322
#214462442
#214461772
#214461712
#214459952
#214459042
#214458252
#214458232
C61×#20552
#2452861