Finite Group Databasebeta

← #29685305

Subgroups — #29685305

Order 15616.

1198 conjugacy classes of subgroups.

The subgroup lattice has 750 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16840365C211yesmaximal, characteristic
2C2×#16839720C211yesmaximal, characteristic, complemented
3#21448426C211yesmaximal, characteristic, complemented
4#21446786C211yesmaximal, characteristic, complemented
5#21446782C211yesmaximal, characteristic, complemented
6#21446641C211yesmaximal, characteristic, complemented
7#21446623C211yesmaximal, characteristic, complemented
8#21446257C211yesmaximal, characteristic, complemented
9#21446248C211yesmaximal, characteristic, complemented
10#21446245C211yesmaximal, characteristic, complemented
11#21445646C211yesmaximal, characteristic, complemented
12#21445643C211yesmaximal, characteristic, complemented
13#102×Dic61C211yesmaximal, characteristic, complemented
14#21445633C211yesmaximal, characteristic, complemented
15C61×#1895C211yesmaximal, characteristic, complemented
16C23×#92418C2211yescharacteristic
17#16840365—24no—
18#16840365C418yescomplemented
19C2×#14519773C2211yescharacteristic
20C2×#14519768C2211yescharacteristic
21C2×#14519761—21no—
22C2×#14519759—21no—
23C2×#14519751C2211yescharacteristic
24C2×#14519749—21no—
25C2×#14519748—21no—
26C2×D4×Dic61C2211yescharacteristic
27C2×#14519739C2211yescharacteristic
28C2×#14519736C2211yescharacteristic
29C2×#14519699C2211yescharacteristic
30C2×#14519699C2211yescharacteristic
31C2×#14519698C2211yescharacteristic
32C2×#14519698C2211yescharacteristic
33C2×#14519697C2211yescharacteristic
34C2×#14519697C2211yescharacteristic
35#16839720—24no—
36C2×#14519687C2211yescharacteristic
37C2×#14519687C2211yescharacteristic
38C2×C8×Dic61C2211yescharacteristic
39C2×C8×Dic61C2211yescharacteristic
40#16839656—21no—
41#16839650—21no—
42#16839647—21no—
43#16839645—21no—
44#16839631C2211yescharacteristic
45#16839627C2211yescharacteristic
46#16839622C2211yescharacteristic
47C4⋊C4×Dic61C2211yescharacteristic
48C4⋊C4×Dic61C2211yescharacteristic
49#16839525C2211yescharacteristic
50#16839525C2211yescharacteristic
51#16839524C2211yescharacteristic
52#16839524C2211yescharacteristic
53#16839524C2211yescharacteristic
54#16839524C2211yescharacteristic
55C22×M16×C61C2211yescharacteristic
56C2×#121×C61C2211yescharacteristic
57C2×#102×C61C2211yescharacteristic
58C2×#102×C61C2211yescharacteristic
59C61×#380C2211yescharacteristic
60C61×#340C2211yescharacteristic
61C61×#340C2211yescharacteristic
62C22×D244C2311yescharacteristic
63C22×C22⋊D61—21no—
64C22×C22⋊D61—21no—
65C22×C22⋊D61—21no—
66C23×Dic61—21no—
67C22×C4×D61—21no—
68C22×#92418—22no—
69C22×#92418—22no—
70C22×#92418—22no—
71C22×#92418C2311yescharacteristic
72C22×#92418C2311yescharacteristic
73#14519773—22no—
74#14519773C2×C414yes—
75#14519768—22no—
76#14519768C2×C414yes—
77#14519761—28no—
78#14519759—28no—
79#14519751—22no—
80#14519751C2×C414yes—
81#14519749—28no—
82#14519748—28no—
83D4×Dic61—22no—
84D4×Dic61C2×C414yes—
85#14519739—22no—
86#14519739C2×C414yes—
87#14519736C2×C414yes—
88#14519736D414yes—
89C2×C4⋊Dic61—21no—
90C2×C4⋊Dic61D411yescharacteristic
91C2×C4⋊Dic61D411yescharacteristic
92C2×C4⋊Dic61C2311yescharacteristic
93C2×C4⋊Dic61C2311yescharacteristic
94C2×C4⋊Dic61C2311yescharacteristic
95C2×#11758196—21no—
96C2×#11758196—21no—
97C2×#11758196—21no—
98C2×C22⋊Dic61—21no—
99C2×C22⋊Dic61—21no—
100C2×C22⋊Dic61D411yescharacteristic
101C2×C22⋊Dic61D411yescharacteristic
102C2×#11758198—21no—
103C2×#11758198—21no—
104C2×C4×Dic61—21no—
105C2×C4×Dic61—21no—
106C2×C4×Dic61C2311yescharacteristic
107C2×C4×Dic61C2311yescharacteristic
108#14519699—22no—
109#14519699—22no—
110#14519698—22no—
111#14519698—22no—
112#14519697—22no—
113#14519697—22no—
114#14519687—22no—
115#14519687—22no—
116C8×Dic61—22no—
117C8×Dic61—22no—
118#14519684—21no—
119#14519684—21no—
120#14519684—21no—
121#14519684—21no—
122#14519684—21no—
123C22×D4×C61—21no—
124C22×D4×C61C2311yescharacteristic
125C23×C4×C61C2311yescharacteristic
126C2×M16×C61—22no—
127C2×M16×C61—22no—
128C2×M16×C61—22no—
129C22×C8×C61C2311yescharacteristic
130C22×C8×C61C2311yescharacteristic
131#121×C61—22no—
132#121×C61C2×C414yes—
133C2×C4⋊C4×C61C2311yescharacteristic
134C2×C4⋊C4×C61C2311yescharacteristic
135C2×C4⋊C4×C61C2311yescharacteristic
136C2×C22⋊C4×C61—21no—
137C2×C22⋊C4×C61—21no—
138#102×C61—22no—
139#102×C61—22no—
140#95×C61—21no—
141C24×C61—21no—
142C24×C61C2×D411yescharacteristic
143C23×D61—21no—
144C2×D4×C61—24no—
145C2×D4×C61—21no—
146C2×D4×C61—21no—
147C2×D4×C61—21no—
148C2×D4×C61—21no—
149C2×D4×C61—21no—
150C2×D4×C61—81no—
151C2×D4×C61—81no—
152C2×D4×C61C22×C412yes—
153C22×C4×C61—21no—
154C22×C4×C61—21no—
155C22×C4×C61—21no—
156C22×C4×C61—21no—
157C22×C4×C61—21no—
158C22×C4×C61—21no—
159C22×C4×C61—21no—
160C22×C4×C61C22×C412yes—
161C22×C4×C61C2×D411yescharacteristic
162C22×C4×C61C2×D412yes—
163C22×C4×C61C2411yescharacteristic
164C2×C22⋊D61—24no—
165C2×C22⋊D61—24no—
166C2×C22⋊D61—24no—
167C2×C22⋊D61—81no—
168C2×C22⋊D61—81no—
169C2×C22⋊D61—81no—
170C2×C22⋊D61—81no—
171C2×C22⋊D61—81no—
172C2×C22⋊D61—81no—
173C22×Dic61—21no—
174C22×Dic61—24no—
175C22×Dic61—21no—
176C22×Dic61—21no—
177C22×Dic61—81no—
178C22×Dic61—81no—
179C22×Dic61C2×D411yescharacteristic
180C22×Dic61C2×D411yescharacteristic
181C22×Dic61C2×D411yescharacteristic
182C22×Dic61C2×D411yescharacteristic
183C2×D244—21no—
184C2×D244—21no—
185C2×D244—21no—
186C2×D244—21no—
187C2×D244—21no—
188C2×D244C22×C412yes—
189C2×C4×D61—24no—
190C2×C4×D61—81no—
191C2×C4×D61—81no—
192M16×C61—28no—
193C2×C8×C61—21no—
194C2×C8×C61—21no—
195C2×C8×C61—21no—
196C2×C8×C61—21no—
197C2×C8×C61#4112yes—
198C2×C8×C61#4112yes—
199C4⋊C4×C61—21no—
200C4⋊C4×C61—21no—
201C4⋊C4×C61—21no—
202C4⋊C4×C61—21no—
203C4⋊C4×C61—21no—
204C4⋊C4×C61C22×C412yes—
205C22⋊C4×C61—24no—
206C22⋊C4×C61—81no—
207C22⋊Dic61—24no—
208C22⋊Dic61—81no—
209C22⋊Dic61C22⋊C414yes—
210C22⋊Dic61C22⋊C414yes—
211#11758198—24no—
212#11758198—24no—
213C4⋊Dic61—21no—
214C4⋊Dic61—24no—
215C4⋊Dic61—21no—
216C4⋊Dic61—21no—
217C4⋊Dic61—21no—
218C4⋊Dic61—21no—
219C4⋊Dic61C22⋊C414yes—
220C4⋊Dic61C22⋊C414yes—
221C4⋊Dic61C22×C412yes—
222#11758196—24no—
223#11758196—81no—
224#11758196—81no—
225C4×Dic61—81no—
226C4×Dic61—81no—
227C4×Dic61C22×C412yes—
228C4×Dic61C22×C412yes—
229C4×Dic61C2×D412yes—
230C4×Dic61C2×D412yes—
231C2×#92418—28no—
232C2×#92418—21no—
233C2×#92418—21no—
234C2×#92418—21no—
235C2×#92418—21no—
236C2×#92418#4112yes—
237C2×#92418#4112yes—
238C23×C61—21no—
239C23×C61—21no—
240C23×C61—21no—
241C23×C61—21no—
242C23×C61—21no—
243C23×C61—21no—
244C23×C61—22no—
245C23×C61—41no—
246C23×C61—41no—
247C23×C61—41no—
248C23×C61—41no—
249C23×C61—41no—
250C23×C61—41no—
251C23×C61C2×C22⋊C412yes—
252C23×C61C22×D411yescharacteristic
253C22×D61—22no—
254C22×D61—41no—
255C22×D61—41no—
256C22×D61—41no—
257C22×D61—41no—
258C22×D61—41no—
259C22×D61—41no—
260D4×C61—22no—
261D4×C61—22no—
262D4×C61—41no—
263D4×C61—41no—
264D4×C61—84no—
265C2×C4×C61—21no—
266C2×C4×C61—21no—
267C2×C4×C61—22no—
268C2×C4×C61—22no—
269C2×C4×C61—22no—
270C2×C4×C61—22no—
271C2×C4×C61—22no—
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×C61—41no—
279C2×C4×C61—41no—
280C2×C4×C61C2×C22⋊C412yes—
281C2×C4×C61C23×C411yescharacteristic
282C2×C4×C61C22×D411yescharacteristic
283C2×C4×C61C2×#4111yescharacteristic
284C2×C4×C61C2×#4111yescharacteristic
285C2×C4×C61C2×#4111yescharacteristic
286C2×C4×C61C2×#4111yescharacteristic
287C22⋊D61—84no—
288C22⋊D61—84no—
289C22⋊D61—84no—
290C2×Dic61—21no—
291C2×Dic61—21no—
292C2×Dic61—21no—
293C2×Dic61—21no—
294C2×Dic61—21no—
295C2×Dic61—21no—
296C2×Dic61—21no—
297C2×Dic61—21no—
298C2×Dic61—22no—
299C2×Dic61—41no—
300C2×Dic61—41no—
301C2×Dic61—41no—
302C2×Dic61—41no—
303C2×Dic61—41no—
304C2×Dic61—41no—
305C2×Dic61—41no—
306C2×Dic61—41no—
307C2×Dic61—84no—
308C2×Dic61C2×C22⋊C412yes—
309C2×Dic61C2×C22⋊C412yes—
310C2×Dic61C2×C22⋊C412yes—
311C2×Dic61C2×C22⋊C412yes—
312D244—22no—
313D244—22no—
314D244—41no—
315D244—41no—
316C4×D61—84no—
317C8×C61—22no—
318C8×C61—22no—
319#92418—22no—
320#92418—22no—
321#21414—611nomaximal, Sylow
322C22×C61—22no—
323C22×C61—22no—
324C22×C61—22no—
325C22×C61—41no—
326C22×C61—41no—
327C22×C61—41no—
328C22×C61—41no—
329C22×C61—42no—
330C22×C61—42no—
331C22×C61—42no—
332C22×C61—81no—
333C22×C61—81no—
334C22×C61—81no—
335C22×C61—81no—
336C22×C61C22×C22⋊C411yescharacteristic
337C22×C61#53211yescharacteristic
338C22×C61#53211yescharacteristic
339C22×C61#57611yescharacteristic
340C22×C61#57611yescharacteristic
341C22×C61#57711yescharacteristic
342C22×C61#57711yescharacteristic
343C2×D61—42no—
344C2×D61—42no—
345C2×D61—42no—
346C2×D61—81no—
347C2×D61—81no—
348C2×D61—81no—
349C2×D61—81no—
350C4×C61—22no—
351C4×C61—42no—
352C4×C61—81no—
353C4×C61—81no—
354C4×C61C4×#4111yescharacteristic
355C4×C61C4×#4111yescharacteristic
356C4×C61#52511yescharacteristic
357C4×C61#52511yescharacteristic
358Dic61—22no—
359Dic61—22no—
360Dic61—22no—
361Dic61—22no—
362Dic61—42no—
363Dic61—81no—
364Dic61—81no—
365C2×#540—611no—
366C2×#405—611no—
367#2314—611no—
368#1992—611no—
369#1991—611no—
370#1961—611no—
371#1957—611no—
372#1895—611no—
373#1895D6111yescharacteristic, complemented
374#1893—611no—
375#1893—611no—
376#1762—611no—
377#1762—611no—
378C4×#102—611no—
379C4×#102—611no—
380C2×C61—42no—
381C2×C61—82no—
382C2×C61#229711yescharacteristic
383C2×C61#289711yescharacteristic
384C2×C61#289711yescharacteristic
385C2×C61#317411yescharacteristic
386C2×C61#317611yescharacteristic
387C2×C61#317911yescharacteristic
388C2×C61#317911yescharacteristic
389D61—82no—
390C22×M16C2×D6111yescharacteristic
391C23×C8—611no—
392#540—618no—
393#540—1224no—
394C2×#127—611no—
395C2×#125—611no—
396C2×#123—1221no—
397C2×#123—1221no—
398C2×#121—611no—
399C2×#121—1221no—
400C2×#121—1221no—
401C2×#121C2×D6111yescharacteristic
402C2×C4×D4—611no—
403C2×C4×D4—611no—
404C2×#117—611no—
405C2×#102—611no—
406C2×#102—611no—
407C2×#102—611no—
408C2×#102—611no—
409C2×#102—611no—
410C2×#102—611no—
411C2×#102C2×D6111yescharacteristic
412C2×#102C2×D6111yescharacteristic
413#405—1224no—
414C2×#97—611no—
415C2×#97—611no—
416C2×C4×C8—611no—
417C2×C4×C8—611no—
418#388—1221no—
419#388—1221no—
420#387—1221no—
421#387—1221no—
422#384—611no—
423#382—611no—
424#380—611no—
425#380C2×D6111yescharacteristic
426C4×C4⋊C4—611no—
427C4×C4⋊C4—611no—
428#340—611no—
429#340—611no—
430#340—611no—
431#340—611no—
432#340—611no—
433#340—611no—
434#340C2×D6111yescharacteristic
435#340C2×D6111yescharacteristic
436C61#2141411yescharacteristic, complemented, Sylow
437C22×D4—21no—
438C22×D4—611no—
439C22×D4—1221no—
440C22×D4—1221no—
441C22×D4—1221no—
442C22×D4C22×D6111yescharacteristic
443C23×C4—1221no—
444C23×C4—1221no—
445C23×C4C22×D6111yescharacteristic
446C2×M16—22no—
447C2×M16—22no—
448C2×M16—22no—
449C22×C8—611no—
450C22×C8—611no—
451C22×C8—1222no—
452C22×C8—1222no—
453C22×C8—1222no—
454C22×C8C22×D6111yescharacteristic
455C22×C8C22×D6111yescharacteristic
456#127—614no—
457#127—1222no—
458#125—614no—
459#125—1222no—
460#123—1228no—
461#123—1228no—
462#121—22no—
463#121—614no—
464#121—1228no—
465#121—1228no—
466#121—1222no—
467#121C4×D6114yes—
468C4×D4—614no—
469C4×D4—614no—
470C4×D4—1222no—
471C4×D4—1222no—
472#117—614no—
473#117—614no—
474C2×C4⋊C4—611no—
475C2×C4⋊C4—611no—
476C2×C4⋊C4—611no—
477C2×C4⋊C4—611no—
478C2×C4⋊C4—611no—
479C2×C4⋊C4—1221no—
480C2×C4⋊C4—1221no—
481C2×C4⋊C4—1221no—
482C2×C4⋊C4—1221no—
483C2×C4⋊C4C22×D6111yescharacteristic
484C2×C4⋊C4C22×D6111yescharacteristic
485C2×C4⋊C4C22×D6111yescharacteristic
486C2×C22⋊C4—21no—
487C2×C22⋊C4—21no—
488C2×C22⋊C4—611no—
489C2×C22⋊C4—611no—
490C2×C22⋊C4—1221no—
491C2×C22⋊C4—1221no—
492C2×C22⋊C4—1221no—
493C2×C22⋊C4—1221no—
494C2×C42—611no—
495C2×C42—611no—
496C2×C42—1221no—
497C2×C42—1221no—
498#102—22no—
499#102—22no—
500#102—1222no—
501#102—1222no—
502#102—1222no—
503#102—1222no—
504#102—1222no—
505#102—1222no—
506#97—1222no—
507#97—1222no—
508C4×C8—1222no—
509C4×C8—1222no—
510#95—21no—
511#95—1221no—
512#95—1221no—
513#95—1221no—
514#95—1221no—
515#95—1221no—
516C24—21no—
517C24—1221no—
518C24D4×D6111yescharacteristic
519C2×D4—24no—
520C2×D4—21no—
521C2×D4—21no—
522C2×D4—21no—
523C2×D4—21no—
524C2×D4—21no—
525C2×D4—81no—
526C2×D4—81no—
527C2×D4—612no—
528C2×D4—1224no—
529C2×D4—1224no—
530C2×D4—1224no—
531C2×D4—1221no—
532C2×D4—1221no—
533C2×D4—1221no—
534C2×D4—1221no—
535C2×D4—1221no—
536C2×D4—4881no—
537C2×D4—4881no—
538C2×D4—4881no—
539C2×D4—4881no—
540C2×D4—4881no—
541C2×D4—4881no—
542C2×D4C2×C4×D6112yes—
543C22×C4—21no—
544C22×C4—21no—
545C22×C4—21no—
546C22×C4—21no—
547C22×C4—21no—
548C22×C4—21no—
549C22×C4—21no—
550C22×C4—611no—
551C22×C4—611no—
552C22×C4—611no—
553C22×C4—611no—
554C22×C4—1224no—
555C22×C4—1224no—
556C22×C4—1221no—
557C22×C4—1221no—
558C22×C4—1221no—
559C22×C4—4881no—
560C22×C4—4881no—
561C22×C4—4881no—
562C22×C4—4881no—
563C22×C4C2×C4×D6112yes—
564C22×C4D4×D6112yes—
565C22×C4D4×D6111yescharacteristic
566C22×C4C23×D6111yescharacteristic
567M16—28no—
568C2×C8—21no—
569C2×C8—21no—
570C2×C8—21no—
571C2×C8—21no—
572C2×C8—612no—
573C2×C8—612no—
574C2×C8—1228no—
575C2×C8—1221no—
576C2×C8—1221no—
577C2×C8—1221no—
578C2×C8—1221no—
579C2×C8#1175822412yes—
580C2×C8#1175822412yes—
581C4⋊C4—21no—
582C4⋊C4—21no—
583C4⋊C4—21no—
584C4⋊C4—21no—
585C4⋊C4—21no—
586C4⋊C4—614no—
587C4⋊C4—614no—
588C4⋊C4—612no—
589C4⋊C4—1224no—
590C4⋊C4—1224no—
591C4⋊C4—1221no—
592C4⋊C4—1221no—
593C4⋊C4—1221no—
594C4⋊C4—1221no—
595C4⋊C4—1221no—
596C4⋊C4—4881no—
597C4⋊C4—4881no—
598C4⋊C4C2×C4×D6112yes—
599C22⋊C4—24no—
600C22⋊C4—81no—
601C22⋊C4—614no—
602C22⋊C4—614no—
603C22⋊C4—1224no—
604C22⋊C4—1224no—
605C22⋊C4—1224no—
606C22⋊C4—4881no—
607C42—612no—
608C42—612no—
609C42—612no—
610C42—612no—
611C42—4881no—
612C42—4881no—
613C23—21no—
614C23—21no—
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—
633C23C22⋊C4×D6112yes—
634C23C2×D4×D6111yescharacteristic
635D4—22no—
636D4—22no—
637D4—41no—
638D4—41no—
639D4—84no—
640D4—1222no—
641D4—1222no—
642D4—4884no—
643D4—4884no—
644D4—4884no—
645D4—2441no—
646D4—2441no—
647C2×C4—21no—
648C2×C4—21no—
649C2×C4—22no—
650C2×C4—22no—
651C2×C4—22no—
652C2×C4—22no—
653C2×C4—22no—
654C2×C4—41no—
655C2×C4—41no—
656C2×C4—41no—
657C2×C4—41no—
658C2×C4—41no—
659C2×C4—41no—
660C2×C4—41no—
661C2×C4—41no—
662C2×C4—612no—
663C2×C4—612no—
664C2×C4—612no—
665C2×C4—612no—
666C2×C4—1221no—
667C2×C4—1221no—
668C2×C4—1221no—
669C2×C4—1221no—
670C2×C4—1221no—
671C2×C4—1221no—
672C2×C4—1221no—
673C2×C4—1221no—
674C2×C4—1222no—
675C2×C4—4884no—
676C2×C4—4884no—
677C2×C4—2441no—
678C2×C4—2441no—
679C2×C4—2441no—
680C2×C4—2441no—
681C2×C4—2441no—
682C2×C4—2441no—
683C2×C4—2441no—
684C2×C4—2441no—
685C2×C4C22⋊C4×D6112yes—
686C2×C4C22×C4×D6111yescharacteristic
687C2×C4C2×D4×D6111yescharacteristic
688C2×C4#41×D6111yescharacteristic
689C2×C4#41×D6111yescharacteristic
690C2×C4C2×#1175822411yescharacteristic
691C2×C4C2×#1175822411yescharacteristic
692C8—22no—
693C8—22no—
694C8—1222no—
695C8—1222no—
696C22—22no—
697C22—22no—
698C22—22no—
699C22—41no—
700C22—41no—
701C22—41no—
702C22—41no—
703C22—42no—
704C22—42no—
705C22—42no—
706C22—81no—
707C22—81no—
708C22—81no—
709C22—81no—
710C22—4881no—
711C22—4881no—
712C22—4881no—
713C22—4881no—
714C22—2442no—
715C22—2442no—
716C22—2442no—
717C22C2×C22⋊C4×D6111yescharacteristic
718C22#1684030711yescharacteristic
719C22#1684030711yescharacteristic
720C22#1684056611yescharacteristic
721C22#1684056611yescharacteristic
722C22#1684057111yescharacteristic
723C22#1684057211yescharacteristic
724C4—22no—
725C4—42no—
726C4—81no—
727C4—81no—
728C4—1222no—
729C4—1222no—
730C4—1222no—
731C4—1222no—
732C4—4881no—
733C4—4881no—
734C4—2442no—
735C4C4×#1175822411yescharacteristic
736C4C4×#1175822411yescharacteristic
737C4#1684026811yescharacteristic
738C4#1684027011yescharacteristic
739C2—42no—
740C2—82no—
741C2—4882no—
742C2#2144830411yescharacteristic
743C2#2145434311yescharacteristic
744C2#2145434411yescharacteristic
745C2#2145644211yescharacteristic
746C2#2145646411yescharacteristic
747C2#2145649511yescharacteristic
748C2#2145650311yescharacteristic
subgroupG/H
centerC23C2×D4×D61
commutatorC2×C4×C61C23×C4
FrattiniC22×C4C23×D61
FittingC61×#1895C2
socleC23×C61C22×D4
prime radicalC2×#16840365C2
cosocleC22×C4×C61C24
hypercenter#1895D61
hypocenterC61#21414
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C23 ◁ C23×C4 ◁ #1895

Complements

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

NH ≅ G/Ntype
2. C2×#16839720C2semidirect
3. #21448426C2semidirect
4. #21446786C2semidirect
5. #21446782C2semidirect
6. #21446641C2semidirect
7. #21446623C2semidirect
8. #21446257C2semidirect
9. #21446248C2semidirect
10. #21446245C2semidirect
11. #21445646C2semidirect
12. #21445643C2semidirect
13. #102×Dic61C2semidirect
14. #21445633C2semidirect
15. C61×#1895C2semidirect
18. #16840365C4semidirect
373. #1895D61semidirect
436. C61#21414semidirect

Maximal subgroups

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

subgroupindex
C2×#168403652
C2×#168397202
#214484262
#214467862
#214467822
#214466412
#214466232
#214462572
#214462482
#214462452
#214456462
#214456432
#102×Dic612
#214456332
C61×#18952
#2141461