Finite Group Databasebeta

← #29708699

Subgroups — #29708699

Order 15616.

1178 conjugacy classes of subgroups.

The subgroup lattice has 736 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16839801C211yesmaximal, characteristic, complemented
2C2×#16839784C211yesmaximal, characteristic, complemented
3C2×#16839760C211yesmaximal, characteristic
4C2×#16839760C211yesmaximal, characteristic
5#21448306C211yesmaximal, characteristic
6#389×D61C211yesmaximal, characteristic, complemented
7#21447213C211yesmaximal, characteristic, complemented
8#21447211C211yesmaximal, characteristic, complemented
9#21447205C211yesmaximal, characteristic, complemented
10#21447203C211yesmaximal, characteristic, complemented
11#21447201C211yesmaximal, characteristic, complemented
12#21447195C211yesmaximal, characteristic, complemented
13#21447193C211yesmaximal, characteristic, complemented
14#21445537C211yesmaximal, characteristic, complemented
15C61×#2065C211yesmaximal, characteristic, complemented
16C22×#11758224C2211yescharacteristic
17C22×#11758189C2211yescharacteristic
18C22×#11758189C2211yescharacteristic
19C2×#14519735C2211yescharacteristic
20C2×C4⋊C4×D61—21no—
21C2×C4⋊C4×D61C2211yescharacteristic
22C2×C4⋊C4×D61C2211yescharacteristic
23C2×C42×D61C2211yescharacteristic
24#16839801—24no—
25C2×#14519711C2211yescharacteristic
26C2×#14519710C2211yescharacteristic
27C2×#14519708C2211yescharacteristic
28#16839784—24no—
29C2×C4⋊#92418C2211yescharacteristic
30C2×#14519706C2211yescharacteristic
31C2×#14519706C2211yescharacteristic
32#16839760—24no—
33#16839760—24no—
34C2×#14519702C2211yescharacteristic
35C2×#14519702C2211yescharacteristic
36C2×#14519700C2211yescharacteristic
37C2×#14519700C2211yescharacteristic
38C2×#14519698C2211yescharacteristic
39C2×#14519698C2211yescharacteristic
40#16839668C2211yescharacteristic
41#16839667C2211yescharacteristic
42#16839665C2211yescharacteristic
43#16839661C2211yescharacteristic
44#16839660C2211yescharacteristic
45#16839659—21no—
46#16839658C2211yescharacteristic
47#16839657—21no—
48#16839638—21no—
49#16839638—21no—
50C22⋊C4×Dic61—21no—
51C22⋊C4×Dic61—21no—
52#95×D61—21no—
53#16839525C2211yescharacteristic
54#16839524C2211yescharacteristic
55#16839524C2211yescharacteristic
56C2×#106×C61C2211yescharacteristic
57C2×C4⋊C8×C61C2211yescharacteristic
58C2×#102×C61C2211yescharacteristic
59C2×#102×C61C2211yescharacteristic
60C61×#390C2211yescharacteristic
61C61×#389C2211yescharacteristic
62C61×#340C2211yescharacteristic
63C2×#11758224—22no—
64C2×#11758224—22no—
65C2×#11758224—22no—
66C2×#11758224—22no—
67C2×#11758224—22no—
68C2×#11758224Q814yes—
69C22×Dic122C2311yescharacteristic
70C22×C22⋊D61—21no—
71C23×Dic61—21no—
72C22×C4×D61—21no—
73C22×C4×D61—21no—
74C22×C4×D61D411yescharacteristic
75C22×C4×D61D411yescharacteristic
76C22×C4×D61C2311yescharacteristic
77C2×#11758189—22no—
78C2×#11758189—22no—
79C2×#11758189—22no—
80C2×#11758189—22no—
81C2×#11758189—22no—
82C2×#11758189D414yes—
83C22×#92418C2311yescharacteristic
84C22×#92418C2311yescharacteristic
85#14519735—22no—
86#14519735—22no—
87C2×C4⋊Dic61—21no—
88C2×C4⋊Dic61C2311yescharacteristic
89C2×C4⋊Dic61C2311yescharacteristic
90C2×C4⋊Dic61C2311yescharacteristic
91C2×#11758196—21no—
92C2×#11758196—21no—
93C2×#11758196—21no—
94C2×#11758196—21no—
95C4⋊C4×D61—22no—
96C4⋊C4×D61—22no—
97C4⋊C4×D61—22no—
98C4⋊C4×D61—44no—
99C4⋊C4×D61D414yes—
100C2×C22⋊Dic61—21no—
101C2×C22⋊Dic61—21no—
102C2×#11758198—21no—
103C2×C4×Dic61—21no—
104C2×C4×Dic61D411yescharacteristic
105C2×C4×Dic61D411yescharacteristic
106C2×C4×Dic61C2311yescharacteristic
107C42×D61—22no—
108C42×D61—22no—
109#14519711—22no—
110#14519710—22no—
111#14519708—22no—
112C4⋊#92418—22no—
113#14519706—22no—
114#14519706—22no—
115#14519702—22no—
116#14519702—22no—
117#14519700—22no—
118#14519700—22no—
119#14519698—22no—
120#14519698—22no—
121#14519684—21no—
122#14519684—21no—
123#14519684—21no—
124#14519684—21no—
125#14519684—21no—
126#14519684—21no—
127#14519684—21no—
128C22×D4×C61C2311yescharacteristic
129C22×C8×C61C2311yescharacteristic
130C22×C8×C61C2311yescharacteristic
131C2×C4⋊C4×C61—21no—
132C2×C4⋊C4×C61C2311yescharacteristic
133C2×C4⋊C4×C61C2311yescharacteristic
134C2×C4⋊C4×C61C2311yescharacteristic
135C2×C22⋊C4×C61—21no—
136C2×C22⋊C4×C61—21no—
137C2×C42×C61C2311yescharacteristic
138#106×C61—22no—
139C4⋊C8×C61—22no—
140#102×C61—22no—
141#102×C61—22no—
142#95×C61—21no—
143C24×C61—21no—
144C23×D61C2×D411yescharacteristic
145C2×D4×C61—21no—
146C2×D4×C61—21no—
147C2×D4×C61—21no—
148C2×D4×C61—21no—
149C2×D4×C61—21no—
150C2×D4×C61C2×Q812yes—
151C22×C4×C61—21no—
152C22×C4×C61—21no—
153C22×C4×C61—21no—
154C22×C4×C61C2×D411yescharacteristic
155C22×C4×C61C2×D411yescharacteristic
156C22×C4×C61C2411yescharacteristic
157C2×C22⋊D61—24no—
158C2×C22⋊D61—42no—
159C2×C22⋊D61—42no—
160C22×Dic61—21no—
161C22×Dic61—21no—
162C22×Dic61—24no—
163C22×Dic61—21no—
164C22×Dic61—21no—
165C22×Dic61—42no—
166C22×Dic61—42no—
167C22×Dic61C2×D411yescharacteristic
168C22×Dic61C2×D411yescharacteristic
169C22×Dic61C2×D411yescharacteristic
170#11758224—28no—
171#11758224—28no—
172#11758224—44no—
173#11758224—44no—
174C2×C4×D61—24no—
175C2×C4×D61—22no—
176C2×C4×D61—22no—
177C2×C4×D61—22no—
178C2×C4×D61—22no—
179C2×C4×D61—41no—
180C2×C4×D61—41no—
181C2×C4×D61—42no—
182C2×C4×D61—42no—
183C2×C4×D61—42no—
184C2×C4×D61—42no—
185C2×C4×D61—42no—
186C2×C4×D61C2×D412yes—
187C2×C4×D61C2×D412yes—
188C2×C4×D61C2×Q812yes—
189C2×C4×D61#4112yes—
190C2×C4×D61#4112yes—
191C2×C4×D61#4112yes—
192C2×Dic122—21no—
193C2×Dic122—21no—
194C2×Dic122—21no—
195C2×Dic122—21no—
196C2×Dic122—21no—
197C2×Dic122C2×Q812yes—
198C2×C8×C61—21no—
199C2×C8×C61—21no—
200C2×C8×C61—21no—
201C2×C8×C61—21no—
202C2×C8×C61—21no—
203C2×C8×C61C2×D412yes—
204C4⋊C4×C61—21no—
205C4⋊C4×C61—21no—
206C4⋊C4×C61—21no—
207C4⋊C4×C61—21no—
208C4⋊C4×C61—21no—
209C4⋊C4×C61—42no—
210C4⋊C4×C61C2×D412yes—
211C22⋊C4×C61—42no—
212C22⋊C4×C61—42no—
213C42×C61—21no—
214C42×C61—21no—
215C22⋊Dic61—42no—
216C22⋊Dic61—42no—
217#11758198—42no—
218C4⋊Dic61—21no—
219C4⋊Dic61—21no—
220C4⋊Dic61—21no—
221C4⋊Dic61—21no—
222C4⋊Dic61—21no—
223C4⋊Dic61—42no—
224C4⋊Dic61C2×D412yes—
225#11758196—24no—
226#11758196—42no—
227#11758196—42no—
228#11758196—42no—
229C4×Dic61—21no—
230C4×Dic61—21no—
231C4×Dic61—22no—
232C4×Dic61—22no—
233C4×Dic61—42no—
234C2×#92418—21no—
235C2×#92418—21no—
236C2×#92418—21no—
237C2×#92418—21no—
238C2×#92418—21no—
239C2×#92418C2×D412yes—
240#11758189—28no—
241#11758189—44no—
242C23×C61—22no—
243C23×C61—41no—
244C23×C61—41no—
245C23×C61—41no—
246C23×C61—41no—
247C23×C61—41no—
248C23×C61—41no—
249C23×C61C22×D411yescharacteristic
250C22×D61—21no—
251C22×D61—21no—
252C22×D61—21no—
253C22×D61—21no—
254C22×D61#12112yes—
255C22×D61#12112yes—
256C22×D61C22⋊Q812yes—
257D4×C61—22no—
258D4×C61—22no—
259D4×C61—41no—
260D4×C61—41no—
261C2×C4×C61—21no—
262C2×C4×C61—21no—
263C2×C4×C61—21no—
264C2×C4×C61—22no—
265C2×C4×C61—21no—
266C2×C4×C61—21no—
267C2×C4×C61—41no—
268C2×C4×C61—41no—
269C2×C4×C61—41no—
270C2×C4×C61—41no—
271C2×C4×C61—41no—
272C2×C4×C61—41no—
273C2×C4×C61—41no—
274C2×C4×C61—41no—
275C2×C4×C61#13712yes—
276C2×C4×C61C22×D411yescharacteristic
277C2×C4×C61C22×D411yescharacteristic
278C2×C4×C61C22×Q811yescharacteristic
279C2×C4×C61C2×#4111yescharacteristic
280C2×C4×C61C2×#4111yescharacteristic
281C2×C4×C61C2×#4111yescharacteristic
282C22⋊D61—48no—
283C2×Dic61—21no—
284C2×Dic61—21no—
285C2×Dic61—21no—
286C2×Dic61—22no—
287C2×Dic61—22no—
288C2×Dic61—21no—
289C2×Dic61—21no—
290C2×Dic61—41no—
291C2×Dic61—41no—
292C2×Dic61—41no—
293C2×Dic61—41no—
294C2×Dic61—48no—
295C2×Dic61—41no—
296C2×Dic61—41no—
297C2×Dic61—41no—
298C2×Dic61—41no—
299C2×Dic61—41no—
300C2×Dic61—41no—
301C2×Dic61#12112yes—
302C2×Dic61#12112yes—
303C2×Dic61C22⋊Q812yes—
304C2×Dic61AGL(1,ℤ/8)12yes—
305C4×D61—44no—
306C4×D61—44no—
307C4×D61—48no—
308C4×D61—84no—
309C4×D61#12114yes—
310C4×D61C22⋊Q814yes—
311C4×D61C22⋊Q814yes—
312C4×D61#12614yes—
313Dic122—22no—
314Dic122—22no—
315Dic122—41no—
316Dic122—41no—
317C8×C61—22no—
318C8×C61—41no—
319#92418—22no—
320#92418—41no—
321#23617—611nomaximal, Sylow
322C22×C61—42no—
323C22×C61—42no—
324C22×C61—42no—
325C22×C61—81no—
326C22×C61—81no—
327C22×C61—81no—
328C22×C61—81no—
329C22×C61C2×#12111yescharacteristic
330C22×C61C2×#12111yescharacteristic
331C22×C61C2×C22⋊Q811yescharacteristic
332C22×C61C2×AGL(1,ℤ/8)11yescharacteristic
333C22×C61C2×#13711yescharacteristic
334C22×C61#57511yescharacteristic
335C22×C61#57511yescharacteristic
336C2×D61—22no—
337C2×D61—22no—
338C2×D61—22no—
339C2×D61—22no—
340C2×D61—22no—
341C2×D61—22no—
342C2×D61#39614yes—
343C4×C61—22no—
344C4×C61—42no—
345C4×C61—41no—
346C4×C61—81no—
347C4×C61—81no—
348C4×C61C2×#12111yescharacteristic
349C4×C61C2×C22⋊Q811yescharacteristic
350C4×C61C2×C22⋊Q811yescharacteristic
351C4×C61C2×#12611yescharacteristic
352Dic61—22no—
353Dic61—42no—
354Dic61—42no—
355Dic61—41no—
356Dic61—81no—
357Dic61—81no—
358Dic61#39614yes—
359C2×#428—611no—
360C2×#423—611no—
361C2×#417—611no—
362C2×#417—611no—
363#2297—611no—
364C2×#389—611no—
365#2068—611no—
366#2068—611no—
367#2067—611no—
368#2067—611no—
369#2066—611no—
370#2066—611no—
371#2065—611no—
372#2065D6111yescharacteristic, complemented
373#1736—611no—
374C2×C61—82no—
375C2×C61C2×#39611yescharacteristic
376C2×C61#303611yescharacteristic
377C2×C61#303711yescharacteristic
378C2×C61#305511yescharacteristic
379C2×C61#305611yescharacteristic
380C2×C61#307911yescharacteristic
381C2×C61#308011yescharacteristic
382D61—24no—
383C22×#41—611no—
384C22×M16—611no—
385C22×M16—611no—
386C2×#117—611no—
387C22×C4⋊C4—611no—
388C22×C4⋊C4—611no—
389C22×C4⋊C4—1221no—
390C22×C42—611no—
391#428—1224no—
392C2×#107—611no—
393C2×#107—611no—
394C2×#106—611no—
395C2×#106C2×D6111yescharacteristic
396#423—1224no—
397C2×C4⋊C8—611no—
398C2×C4⋊C8—611no—
399C2×C4⋊C8—611no—
400C2×C4⋊C8C2×D6111yescharacteristic
401#417—1224no—
402#417—1224no—
403C2×#103—611no—
404C2×#103—611no—
405C2×#103—611no—
406C2×#103—611no—
407C2×#102—611no—
408C2×#102—611no—
409C2×#102C2×D6111yescharacteristic
410C2×#102C2×D6111yescharacteristic
411#391—611no—
412#391—611no—
413#390—611no—
414#390C2×D6111yescharacteristic
415#389—611no—
416#389—611no—
417#389—611no—
418#389—1221no—
419#389—1221no—
420#389C2×D6111yescharacteristic
421#386—1221no—
422#386—1221no—
423C4×C22⋊C4—1221no—
424C4×C22⋊C4—1221no—
425C2×#95—1221no—
426#340—611no—
427#340—611no—
428#340—611no—
429#340C2×D6111yescharacteristic
430C61#2361711yescharacteristic, complemented, Sylow
431C2×#41—614no—
432C2×#41—1222no—
433C2×#41—1222no—
434C2×#41—1222no—
435C2×#41—1222no—
436C2×#41—1222no—
437C22×Q8—611no—
438C22×D4—1221no—
439C22×D4C22×D6111yescharacteristic
440C23×C4—611no—
441C23×C4—611no—
442C23×C4—611no—
443C23×C4—1221no—
444C23×C4—1221no—
445C23×C4—1221no—
446C2×M16—614no—
447C2×M16—1222no—
448C2×M16—1222no—
449C2×M16—1222no—
450C2×M16—1222no—
451C2×M16—1222no—
452C22×C8—611no—
453C22×C8—611no—
454C22×C8C22×D6111yescharacteristic
455C22×C8C22×D6111yescharacteristic
456#117—1222no—
457#117—1222no—
458C2×C4⋊C4—21no—
459C2×C4⋊C4—611no—
460C2×C4⋊C4—614no—
461C2×C4⋊C4—611no—
462C2×C4⋊C4—611no—
463C2×C4⋊C4—1222no—
464C2×C4⋊C4—1222no—
465C2×C4⋊C4—1222no—
466C2×C4⋊C4—1221no—
467C2×C4⋊C4—1221no—
468C2×C4⋊C4—1221no—
469C2×C4⋊C4—1221no—
470C2×C4⋊C4—1221no—
471C2×C4⋊C4—2444no—
472C2×C4⋊C4C22×D6111yescharacteristic
473C2×C4⋊C4C22×D6111yescharacteristic
474C2×C4⋊C4C22×D6111yescharacteristic
475C2×C22⋊C4—21no—
476C2×C22⋊C4—21no—
477C2×C22⋊C4—1221no—
478C2×C22⋊C4—1221no—
479C2×C22⋊C4—1221no—
480C2×C42—611no—
481C2×C42—611no—
482C2×C42—611no—
483C2×C42—1222no—
484C2×C42—1222no—
485C2×C42—1221no—
486C2×C42C22×D6111yescharacteristic
487#107—1222no—
488#107—1222no—
489#106—22no—
490#106—1222no—
491C4⋊C8—22no—
492C4⋊C8—1222no—
493C4⋊C8—1222no—
494C4⋊C8—1222no—
495#103—1222no—
496#103—1222no—
497#103—1222no—
498#103—1222no—
499#102—22no—
500#102—22no—
501#102—1222no—
502#102—1222no—
503#95—21no—
504#95—1221no—
505#95—1221no—
506#95—1221no—
507#95—1221no—
508#95—1221no—
509#95—1221no—
510#95—1221no—
511C24—21no—
512C24—611no—
513#41—1228no—
514#41—1228no—
515#41—2444no—
516#41—2444no—
517C2×Q8—612no—
518C2×Q8—1221no—
519C2×Q8—1221no—
520C2×Q8—1221no—
521C2×Q8—1221no—
522C2×Q8—1221no—
523C2×D4—21no—
524C2×D4—21no—
525C2×D4—21no—
526C2×D4—21no—
527C2×D4—21no—
528C2×D4—1224no—
529C2×D4—2442no—
530C2×D4—2442no—
531C2×D4Q8×D6112yes—
532C22×C4—21no—
533C22×C4—21no—
534C22×C4—21no—
535C22×C4—611no—
536C22×C4—612no—
537C22×C4—612no—
538C22×C4—612no—
539C22×C4—612no—
540C22×C4—612no—
541C22×C4—612no—
542C22×C4—611no—
543C22×C4—611no—
544C22×C4—1222no—
545C22×C4—1222no—
546C22×C4—1222no—
547C22×C4—1224no—
548C22×C4—1224no—
549C22×C4—1221no—
550C22×C4—1221no—
551C22×C4—1222no—
552C22×C4—1221no—
553C22×C4—1221no—
554C22×C4—2441no—
555C22×C4—2441no—
556C22×C4—2442no—
557C22×C4—2442no—
558C22×C4—2442no—
559C22×C4—2442no—
560C22×C4—2442no—
561C22×C4—2442no—
562C22×C4—2442no—
563C22×C4D4×D6111yescharacteristic
564C22×C4D4×D6111yescharacteristic
565C22×C4C23×D6111yescharacteristic
566M16—1228no—
567M16—2444no—
568C2×C8—21no—
569C2×C8—21no—
570C2×C8—21no—
571C2×C8—21no—
572C2×C8—21no—
573C2×C8—612no—
574C2×C8—1221no—
575C2×C8—1221no—
576C2×C8—1221no—
577C2×C8—1221no—
578C2×C8—1221no—
579C2×C8D4×D6112yes—
580C4⋊C4—21no—
581C4⋊C4—21no—
582C4⋊C4—21no—
583C4⋊C4—21no—
584C4⋊C4—21no—
585C4⋊C4—42no—
586C4⋊C4—612no—
587C4⋊C4—1224no—
588C4⋊C4—1221no—
589C4⋊C4—1221no—
590C4⋊C4—1221no—
591C4⋊C4—1221no—
592C4⋊C4—1221no—
593C4⋊C4—2442no—
594C4⋊C4—2442no—
595C4⋊C4—2442no—
596C4⋊C4—2442no—
597C4⋊C4D4×D6112yes—
598C22⋊C4—42no—
599C22⋊C4—42no—
600C22⋊C4—2442no—
601C22⋊C4—2442no—
602C22⋊C4—2442no—
603C42—21no—
604C42—21no—
605C42—1222no—
606C42—1222no—
607C42—1221no—
608C42—1221no—
609C42—2442no—
610C23—22no—
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—1222no—
626Q8—1222no—
627Q8—2441no—
628Q8—2441no—
629D4—22no—
630D4—22no—
631D4—41no—
632D4—41no—
633D4—2448no—
634C2×C4—21no—
635C2×C4—21no—
636C2×C4—21no—
637C2×C4—22no—
638C2×C4—21no—
639C2×C4—21no—
640C2×C4—41no—
641C2×C4—41no—
642C2×C4—41no—
643C2×C4—41no—
644C2×C4—41no—
645C2×C4—41no—
646C2×C4—41no—
647C2×C4—41no—
648C2×C4—612no—
649C2×C4—612no—
650C2×C4—612no—
651C2×C4—614no—
652C2×C4—614no—
653C2×C4—614no—
654C2×C4—614no—
655C2×C4—612no—
656C2×C4—1221no—
657C2×C4—1221no—
658C2×C4—1221no—
659C2×C4—1222no—
660C2×C4—1222no—
661C2×C4—1221no—
662C2×C4—1221no—
663C2×C4—4884no—
664C2×C4—2444no—
665C2×C4—2444no—
666C2×C4—2448no—
667C2×C4—2448no—
668C2×C4—2441no—
669C2×C4—2441no—
670C2×C4—2441no—
671C2×C4—2441no—
672C2×C4—2441no—
673C2×C4—2441no—
674C2×C4—2441no—
675C2×C4—2441no—
676C2×C4—2441no—
677C2×C4—2441no—
678C2×C4#1451980612yes—
679C2×C4C2×D4×D6111yescharacteristic
680C2×C4C2×D4×D6111yescharacteristic
681C2×C4C2×Q8×D6111yescharacteristic
682C2×C4#41×D6111yescharacteristic
683C2×C4#41×D6111yescharacteristic
684C2×C4#41×D6111yescharacteristic
685C8—22no—
686C8—41no—
687C8—1222no—
688C8—2441no—
689C22—42no—
690C22—42no—
691C22—42no—
692C22—81no—
693C22—81no—
694C22—81no—
695C22—81no—
696C22—614no—
697C22—1222no—
698C22—1222no—
699C22—1222no—
700C22—1222no—
701C22—1222no—
702C22—1222no—
703C22#121×D6111yescharacteristic
704C22#121×D6111yescharacteristic
705C22C22⋊Q8×D6111yescharacteristic
706C22AGL(1,ℤ/8)×D6111yescharacteristic
707C22C2×#1451980611yescharacteristic
708C22#1684055811yescharacteristic
709C22#1684055911yescharacteristic
710C4—22no—
711C4—41no—
712C4—42no—
713C4—81no—
714C4—81no—
715C4—614no—
716C4—1222no—
717C4—4881no—
718C4—4881no—
719C4—2442no—
720C4—2441no—
721C4—2442no—
722C4#121×D6111yescharacteristic
723C4C22⋊Q8×D6111yescharacteristic
724C4C22⋊Q8×D6111yescharacteristic
725C4#126×D6111yescharacteristic
726C2—82no—
727C2—1224no—
728C2#396×D6111yescharacteristic
729C2#2145528111yescharacteristic
730C2#2145528611yescharacteristic
731C2#2145543711yescharacteristic
732C2#2145544211yescharacteristic
733C2#2145563111yescharacteristic
734C2#2145563611yescharacteristic
subgroupG/H
centerC23C2×D4×D61
commutator, cosocleC22×C4×C61C24
FrattiniC22×C4C23×D61
FittingC61×#2065C2
socleC23×C61C22×D4
prime radicalC22×#11758224C22
hypercenter#2065D61
hypocenterC61#23617
LCSG ▷ C22×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C23 ◁ C2×C42 ◁ #2065

Complements

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

NH ≅ G/Ntype
1. C2×#16839801C2semidirect
2. C2×#16839784C2semidirect
6. #389×D61C2semidirect
7. #21447213C2semidirect
8. #21447211C2semidirect
9. #21447205C2semidirect
10. #21447203C2semidirect
11. #21447201C2semidirect
12. #21447195C2semidirect
13. #21447193C2semidirect
14. #21445537C2semidirect
15. C61×#2065C2semidirect
372. #2065D61semidirect
430. C61#23617semidirect

Maximal subgroups

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

subgroupindex
C2×#168398012
C2×#168397842
C2×#168397602
#214483062
#389×D612
#214472132
#214472112
#214472052
#214472032
#214472012
#214471952
#214471932
#214455372
C61×#20652
#2361761