Finite Group Databasebeta

← #29700384

Subgroups — #29700384

Order 15616.

1134 conjugacy classes of subgroups.

The subgroup lattice has 742 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16839921C211yesmaximal, characteristic
2C2×#16839760C211yesmaximal, characteristic
3#21448820C211yesmaximal, characteristic, complemented
4#21448644C211yesmaximal, characteristic
5#21446677C211yesmaximal, characteristic, complemented
6#21446509C211yesmaximal, characteristic, complemented
7#21446459C211yesmaximal, characteristic, complemented
8#21446249C211yesmaximal, characteristic, complemented
9#21446160C211yesmaximal, characteristic, complemented
10#21446155C211yesmaximal, characteristic, complemented
11#21446066C211yesmaximal, characteristic, complemented
12#21446005C211yesmaximal, characteristic, complemented
13#102×Dic61C211yesmaximal, characteristic, complemented
14#21445604C211yesmaximal, characteristic, complemented
15C2×C61×#440C211yesmaximal, characteristic, complemented
16C22×#11758224C2211yescharacteristic
17C22×#11758202C2211yescharacteristic
18C22×#11758189C2211yescharacteristic
19C2×#14519753C2211yescharacteristic
20C2×D4×Dic61C2211yescharacteristic
21C2×C4⋊C4×D61C2211yescharacteristic
22#16839921C418yescomplemented
23C2×#14519710C2211yescharacteristic
24#16839760—24no—
25C2×#14519702C2211yescharacteristic
26C2×#14519702C2211yescharacteristic
27C2×#14519701C2211yescharacteristic
28C2×#14519700C2211yescharacteristic
29C2×#14519698C2211yescharacteristic
30C2×#14519698C2211yescharacteristic
31C2×#14519689C2211yescharacteristic
32C2×C8×Dic61C2211yescharacteristic
33#16839669C2211yescharacteristic
34#16839668C2211yescharacteristic
35#16839667C2211yescharacteristic
36#16839660C2211yescharacteristic
37#16839657—21no—
38#16839646—21no—
39#16839641—21no—
40#16839639—21no—
41#16839633—21no—
42#16839623—21no—
43#16839619C2211yescharacteristic
44C4⋊C4×Dic61C2211yescharacteristic
45C4×#11758198—21no—
46C4×#11758198C2211yescharacteristic
47C2×#14519684—21no—
48#16839525C2211yescharacteristic
49#16839525C2211yescharacteristic
50#16839524C2211yescharacteristic
51#16839524C2211yescharacteristic
52#16839517C2211yescharacteristic
53#16839516C2211yescharacteristic
54C22×SD16×C61C2211yescharacteristic
55C2×C4×Q8×C61C2211yescharacteristic
56C2×C4×D4×C61C2211yescharacteristic
57C61×#440—24no—
58C2×#107×C61C2211yescharacteristic
59C2×#103×C61C2211yescharacteristic
60C2×#102×C61C2211yescharacteristic
61C2×#97×C61C2211yescharacteristic
62C2×#11758224—22no—
63C2×#11758224—22no—
64C2×#11758224—22no—
65C2×#11758224—41no—
66C2×#11758224—41no—
67C2×#11758224C2×C414yes—
68C22×Dic122C2311yescharacteristic
69C22×C22⋊D61—21no—
70C23×Dic61—21no—
71C23×Dic61—21no—
72C22×C4×D61—21no—
73C22×C4×D61C2311yescharacteristic
74C2×#11758202—41no—
75C2×#11758202—41no—
76C2×#11758202C2×C414yescomplemented
77C2×#11758189—22no—
78C2×#11758189—22no—
79C2×#11758189—41no—
80C22×#92418C2311yescharacteristic
81C22×#92418C2311yescharacteristic
82#14519753—22no—
83#14519753C2×C414yescomplemented
84D4×Dic61—22no—
85D4×Dic61—41no—
86C2×C4⋊Dic61C2311yescharacteristic
87C2×C4⋊Dic61C2311yescharacteristic
88C2×C4⋊Dic61C2311yescharacteristic
89C2×#11758196—21no—
90C2×#11758196—21no—
91C2×#11758196—21no—
92C4⋊C4×D61—22no—
93C4⋊C4×D61—41no—
94C2×C22⋊Dic61—21no—
95C2×#11758198—21no—
96C2×#11758198—21no—
97C2×#11758198D411yescharacteristic
98C2×#11758198D411yescharacteristic
99C2×C4×Dic61—21no—
100C2×C4×Dic61C2311yescharacteristic
101#14519710—41no—
102#14519702—22no—
103#14519702C2×C414yescomplemented
104#14519701—41no—
105#14519700—22no—
106#14519698—22no—
107#14519698C2×C414yescomplemented
108#14519689C2×C414yescomplemented
109C8×Dic61—41no—
110#14519684—21no—
111#14519684—21no—
112#14519684—21no—
113#14519684—21no—
114#14519684—21no—
115#14519684—21no—
116#14519684—21no—
117#14519684—21no—
118#14519684—21no—
119#14519684D411yescharacteristic
120#14519684D411yescharacteristic
121C22×Q8×C61C2311yescharacteristic
122C22×D4×C61C2311yescharacteristic
123C23×C4×C61—21no—
124C2×SD16×C61—22no—
125C2×SD16×C61—22no—
126C2×SD16×C61C2×C414yescomplemented
127C22×C8×C61C2311yescharacteristic
128C22×C8×C61C2311yescharacteristic
129C4×Q8×C61—22no—
130C4×Q8×C61—41no—
131C4×D4×C61—22no—
132C4×D4×C61—41no—
133C2×C4⋊C4×C61—21no—
134C2×C4⋊C4×C61C2311yescharacteristic
135C2×C4⋊C4×C61C2311yescharacteristic
136C2×C22⋊C4×C61—21no—
137C2×C42×C61—21no—
138C2×C42×C61C2311yescharacteristic
139#107×C61—22no—
140#103×C61—22no—
141#102×C61D414yes—
142#97×C61—22no—
143C24×C61—21no—
144C23×D61C2×D411yescharacteristic
145C2×Q8×C61—21no—
146C2×Q8×C61—21no—
147C2×Q8×C61—21no—
148C2×Q8×C61—21no—
149C2×Q8×C61—21no—
150C2×Q8×C61C22×C412yes—
151C2×D4×C61—21no—
152C2×D4×C61—21no—
153C2×D4×C61—21no—
154C2×D4×C61C22×C412yes—
155C2×D4×C61C2×D412yes—
156C2×D4×C61#4112yes—
157C22×C4×C61—21no—
158C22×C4×C61—21no—
159C22×C4×C61—21no—
160C22×C4×C61—42no—
161C22×C4×C61—42no—
162C22×C4×C61—81no—
163C22×C4×C61C2×D411yescharacteristic
164C22×C4×C61C2×D411yescharacteristic
165C22×C4×C61C2411yescharacteristic
166C2×C22⋊D61—24no—
167C2×C22⋊D61—42no—
168C2×C22⋊D61—42no—
169C22×Dic61—21no—
170C22×Dic61—21no—
171C22×Dic61—24no—
172C22×Dic61—21no—
173C22×Dic61—21no—
174C22×Dic61—42no—
175C22×Dic61—42no—
176C22×Dic61—42no—
177C22×Dic61—42no—
178C22×Dic61—81no—
179C22×Dic61C2×D411yescharacteristic
180C22×Dic61C2×D411yescharacteristic
181C22×Dic61C2×D411yescharacteristic
182#11758224—28no—
183#11758224—44no—
184#11758224—44no—
185#11758224—44no—
186C2×C4×D61—21no—
187C2×C4×D61—21no—
188C2×C4×D61—21no—
189C2×C4×D61—21no—
190C2×C4×D61—42no—
191C2×C4×D61—42no—
192C2×C4×D61—81no—
193C2×C4×D61C22×C412yes—
194C2×C4×D61#4112yes—
195C2×Dic122—21no—
196C2×Dic122—21no—
197C2×Dic122—21no—
198C2×Dic122—21no—
199C2×Dic122—21no—
200C2×Dic122C22×C412yes—
201SD16×C61—28no—
202C2×C8×C61—21no—
203C2×C8×C61—21no—
204C2×C8×C61—21no—
205C2×C8×C61—21no—
206C2×C8×C61C22×C412yes—
207C2×C8×C61C2×D412yes—
208C4⋊C4×C61—21no—
209C4⋊C4×C61—21no—
210C4⋊C4×C61—21no—
211C4⋊C4×C61—42no—
212C4⋊C4×C61C2×D412yes—
213C22⋊C4×C61—42no—
214C42×C61—21no—
215C42×C61—21no—
216C42×C61—42no—
217C22⋊Dic61—42no—
218#11758202—44no—
219#11758198—24no—
220#11758198—22no—
221#11758198—41no—
222#11758198—81no—
223C4⋊Dic61—21no—
224C4⋊Dic61—21no—
225C4⋊Dic61—21no—
226C4⋊Dic61—21no—
227C4⋊Dic61—21no—
228C4⋊Dic61C22×C412yes—
229#11758196—24no—
230#11758196—42no—
231#11758196—81no—
232C4×Dic61—21no—
233C4×Dic61—21no—
234C4×Dic61—81no—
235C2×#92418—21no—
236C2×#92418—21no—
237C2×#92418—21no—
238C2×#92418—21no—
239C2×#92418—21no—
240C2×#92418C22×C412yes—
241#11758189—44no—
242C23×C61—22no—
243C23×C61—22no—
244C23×C61—22no—
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—21no—
255C22×D61—21no—
256C22×D61C4×D412yes—
257Q8×C61—22no—
258Q8×C61—22no—
259Q8×C61—41no—
260Q8×C61—41no—
261D4×C61—22no—
262D4×C61—22no—
263D4×C61—22no—
264D4×C61C4×D414yes—
265C2×C4×C61—22no—
266C2×C4×C61—22no—
267C2×C4×C61—21no—
268C2×C4×C61—21no—
269C2×C4×C61—21no—
270C2×C4×C61—21no—
271C2×C4×C61—21no—
272C2×C4×C61—21no—
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×C61—84no—
281C2×C4×C61C23×C411yescharacteristic
282C2×C4×C61C22×D411yescharacteristic
283C2×C4×C61C2×#4111yescharacteristic
284C2×C4×C61C2×#4111yescharacteristic
285C2×C4×C61H(5,𝔽2)11yescharacteristic
286C2×C4×C61H(5,𝔽2)11yescharacteristic
287C22⋊D61—48no—
288C2×Dic61—21no—
289C2×Dic61—21no—
290C2×Dic61—21no—
291C2×Dic61—21no—
292C2×Dic61—22no—
293C2×Dic61—22no—
294C2×Dic61—21no—
295C2×Dic61—21no—
296C2×Dic61—21no—
297C2×Dic61—48no—
298C2×Dic61—41no—
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—41no—
308C2×Dic61—84no—
309C2×Dic61C4×D412yes—
310C2×Dic61#13712yes—
311C4×D61—22no—
312C4×D61—22no—
313C4×D61—22no—
314C4×D61—22no—
315C4×D61—84no—
316Dic122—22no—
317Dic122—22no—
318Dic122—41no—
319Dic122—41no—
320C8×C61—22no—
321C8×C61—22no—
322#92418—22no—
323#92418—41no—
324#22862—611nomaximal, Sylow
325C22×C61—24no—
326C22×C61—42no—
327C22×C61—42no—
328C22×C61—42no—
329C22×C61—42no—
330C22×C61—42no—
331C22×C61—42no—
332C22×C61C2×C4×D411yescharacteristic
333C22×C61D4211yescharacteristic
334C22×C61#54611yescharacteristic
335C22×C61C2×#13711yescharacteristic
336C22×C61#57511yescharacteristic
337C22×C61#57611yescharacteristic
338C22×C61#57811yescharacteristic
339C2×D61—22no—
340C2×D61—22no—
341C2×D61—22no—
342C2×D61—41no—
343C2×D61—41no—
344C2×D61—41no—
345C2×D61—41no—
346C4×C61—42no—
347C4×C61—42no—
348C4×C61—41no—
349C4×C61—41no—
350C4×C61—81no—
351C4×C61C2×C4×D411yescharacteristic
352C4×C61#51811yescharacteristic
353C4×C61#54611yescharacteristic
354C4×C61#55111yescharacteristic
355Dic61—22no—
356Dic61—22no—
357Dic61—42no—
358Dic61—42no—
359Dic61—41no—
360Dic61—81no—
361Dic61—81no—
362C2×#452—611no—
363C2×#440D6111yescharacteristic, complemented
364C2×#417—611no—
365#2360—611no—
366#2339—611no—
367#1969—611no—
368#1935—611no—
369#1928—611no—
370#1894—611no—
371#1878—611no—
372#1877—611no—
373#1862—611no—
374#1852—611no—
375C4×#102—611no—
376#1753—611no—
377C2×C61—44no—
378C2×C61#235811yescharacteristic
379C2×C61C4×#13711yescharacteristic
380C2×C61#295111yescharacteristic
381C2×C61#327311yescharacteristic
382C2×C61#327611yescharacteristic
383C2×C61#331411yescharacteristic
384C2×C61#331511yescharacteristic
385D61—42no—
386C22×#41—611no—
387C22×Q16—611no—
388C22×SD16C2×D6111yescharacteristic
389C22×M16—611no—
390C2×C22⋊Q8—611no—
391C2×C4×Q8C2×D6111yescharacteristic
392C2×C4×D4—611no—
393C2×C4×D4C2×D6111yescharacteristic
394C22×C4⋊C4—611no—
395#452—618no—
396#440—24no—
397C2×#107—611no—
398C2×#107C2×D6111yescharacteristic
399#417—1224no—
400C2×#103—611no—
401C2×#103—611no—
402C2×#103—611no—
403C2×#103—611no—
404C2×#103C2×D6111yescharacteristic
405C2×#102—611no—
406C2×#102—611no—
407C2×#102C2×D6111yescharacteristic
408C2×C22⋊C8—611no—
409C2×#97C2×D6111yescharacteristic
410C2×C4×C8—611no—
411#391—611no—
412#391—611no—
413#391—611no—
414#389—611no—
415#389—1221no—
416#387—1221no—
417#386—1221no—
418#386—1221no—
419#385—1221no—
420#381—1221no—
421#380—611no—
422C4×C4⋊C4—611no—
423C4×C22⋊C4—611no—
424C4×C22⋊C4—1221no—
425C2×#95—1221no—
426#340—611no—
427#340—611no—
428#340—611no—
429#340—611no—
430#336—611no—
431#336—611no—
432C61#2286211yescharacteristic, complemented, Sylow
433C2×#41—614no—
434C2×#41—1222no—
435C2×#41—1222no—
436C2×#41—1222no—
437C2×#41—2441no—
438C2×#41—2441no—
439C22×Q8—611no—
440C22×Q8C22×D6111yescharacteristic
441C22×D4—1221no—
442C22×D4C22×D6111yescharacteristic
443C23×C4—21no—
444C23×C4—611no—
445C23×C4—1221no—
446C23×C4—1221no—
447C23×C4—1221no—
448C2×Q16—614no—
449C2×Q16—2441no—
450C2×Q16—2441no—
451C2×SD16—22no—
452C2×SD16—22no—
453C2×SD16C4×D6114yescomplemented
454C2×M16—1222no—
455C2×M16—1222no—
456C2×M16—2441no—
457C22×C8—611no—
458C22×C8—611no—
459C22×C8C22×D6111yescharacteristic
460C22×C8C22×D6111yescharacteristic
461C22⋊Q8—614no—
462C22⋊Q8—1222no—
463C4×Q8—22no—
464C4×Q8—41no—
465C4×D4—22no—
466C4×D4—41no—
467C4×D4—1222no—
468C4×D4—2441no—
469C2×C4⋊C4—21no—
470C2×C4⋊C4—611no—
471C2×C4⋊C4—611no—
472C2×C4⋊C4—611no—
473C2×C4⋊C4—1221no—
474C2×C4⋊C4—1222no—
475C2×C4⋊C4—1221no—
476C2×C4⋊C4—1221no—
477C2×C4⋊C4—2441no—
478C2×C4⋊C4C22×D6111yescharacteristic
479C2×C4⋊C4C22×D6111yescharacteristic
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×C42—21no—
487C2×C42—611no—
488C2×C42—1221no—
489C2×C42C22×D6111yescharacteristic
490#107—22no—
491#107—2441no—
492#103—22no—
493#103—614no—
494#103—1222no—
495#103—1222no—
496#103—2441no—
497#102—614no—
498#102—1222no—
499#102C22⋊D6114yes—
500C22⋊C8—614no—
501#97—22no—
502C4×C8—2441no—
503#95—611no—
504#95—611no—
505#95—1221no—
506#95—1221no—
507#95—1221no—
508#95—1221no—
509#95—1221no—
510#95—1221no—
511#95—1221no—
512#95—1221no—
513#95—1221no—
514C24—21no—
515C24—611no—
516#41—1228no—
517#41—2444no—
518#41—2444no—
519#41—2444no—
520C2×Q8—21no—
521C2×Q8—21no—
522C2×Q8—21no—
523C2×Q8—21no—
524C2×Q8—21no—
525C2×Q8—612no—
526C2×Q8—1221no—
527C2×Q8—1221no—
528C2×Q8—1221no—
529C2×Q8—1221no—
530C2×Q8—1221no—
531C2×Q8C2×C4×D6112yes—
532C2×D4—21no—
533C2×D4—21no—
534C2×D4—21no—
535C2×D4—1224no—
536C2×D4—2442no—
537C2×D4—2442no—
538C2×D4C2×C4×D6112yes—
539C2×D4#1175822212yes—
540C2×D4C2×C22⋊D6112yes—
541C22×C4—21no—
542C22×C4—21no—
543C22×C4—21no—
544C22×C4—42no—
545C22×C4—42no—
546C22×C4—81no—
547C22×C4—611no—
548C22×C4—611no—
549C22×C4—612no—
550C22×C4—612no—
551C22×C4—611no—
552C22×C4—1224no—
553C22×C4—1221no—
554C22×C4—1221no—
555C22×C4—1221no—
556C22×C4—1221no—
557C22×C4—1221no—
558C22×C4—1221no—
559C22×C4—1221no—
560C22×C4—1221no—
561C22×C4—4881no—
562C22×C4—4881no—
563C22×C4—2442no—
564C22×C4—2442no—
565C22×C4—2442no—
566C22×C4—2442no—
567C22×C4—2442no—
568C22×C4—2442no—
569C22×C4D4×D6111yescharacteristic
570C22×C4D4×D6111yescharacteristic
571C22×C4C23×D6111yescharacteristic
572Q16—2444no—
573SD16—28no—
574M16—2444no—
575C2×C8—21no—
576C2×C8—21no—
577C2×C8—21no—
578C2×C8—21no—
579C2×C8—612no—
580C2×C8—1221no—
581C2×C8—1221no—
582C2×C8—1221no—
583C2×C8—1221no—
584C2×C8—1221no—
585C2×C8C2×C4×D6112yes—
586C2×C8C2×C22⋊D6112yes—
587C4⋊C4—21no—
588C4⋊C4—21no—
589C4⋊C4—21no—
590C4⋊C4—42no—
591C4⋊C4—612no—
592C4⋊C4—1224no—
593C4⋊C4—1221no—
594C4⋊C4—1221no—
595C4⋊C4—1221no—
596C4⋊C4—1221no—
597C4⋊C4—1221no—
598C4⋊C4—4881no—
599C4⋊C4—2442no—
600C4⋊C4C2×C22⋊D6112yes—
601C22⋊C4—42no—
602C22⋊C4—1222no—
603C22⋊C4—1224no—
604C22⋊C4—4881no—
605C22⋊C4—2441no—
606C22⋊C4—2442no—
607C42—21no—
608C42—21no—
609C42—42no—
610C42—1221no—
611C42—1221no—
612C42—4881no—
613C23—22no—
614C23—22no—
615C23—22no—
616C23—41no—
617C23—41no—
618C23—41no—
619C23—41no—
620C23—612no—
621C23—1221no—
622C23—1221no—
623C23—1221no—
624C23—1221no—
625C23—1221no—
626C23—1221no—
627C23C2×D4×D6111yescharacteristic
628Q8—22no—
629Q8—22no—
630Q8—41no—
631Q8—41no—
632Q8—1222no—
633Q8—1222no—
634Q8—2441no—
635Q8—2441no—
636D4—22no—
637D4—22no—
638D4—22no—
639D4—2448no—
640D4C4×C22⋊D6114yes—
641C2×C4—22no—
642C2×C4—21no—
643C2×C4—21no—
644C2×C4—21no—
645C2×C4—21no—
646C2×C4—21no—
647C2×C4—21no—
648C2×C4—22no—
649C2×C4—41no—
650C2×C4—41no—
651C2×C4—41no—
652C2×C4—41no—
653C2×C4—41no—
654C2×C4—41no—
655C2×C4—41no—
656C2×C4—84no—
657C2×C4—612no—
658C2×C4—612no—
659C2×C4—1221no—
660C2×C4—1221no—
661C2×C4—1221no—
662C2×C4—1221no—
663C2×C4—1222no—
664C2×C4—1222no—
665C2×C4—1222no—
666C2×C4—1222no—
667C2×C4—1222no—
668C2×C4—1222no—
669C2×C4—1221no—
670C2×C4—1221no—
671C2×C4—1221no—
672C2×C4—4884no—
673C2×C4—4884no—
674C2×C4—2448no—
675C2×C4—2441no—
676C2×C4—2441no—
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×D6111yescharacteristic
686C2×C4C22×C22⋊D6111yescharacteristic
687C2×C4#41×D6111yescharacteristic
688C2×C4C2×#1175822211yescharacteristic
689C2×C4#1451982211yescharacteristic
690C2×C4#1451982311yescharacteristic
691C8—22no—
692C8—22no—
693C8—1222no—
694C8—2441no—
695C22—24no—
696C22—42no—
697C22—42no—
698C22—42no—
699C22—42no—
700C22—42no—
701C22—42no—
702C22—1222no—
703C22—1222no—
704C22—1222no—
705C22—2441no—
706C22—2441no—
707C22—2441no—
708C22—2441no—
709C22C4×D4×D6111yescharacteristic
710C22D4×C22⋊D6111yescharacteristic
711C22#1684040811yescharacteristic
712C22#137×D6111yescharacteristic
713C22#1684055811yescharacteristic
714C22#1684056611yescharacteristic
715C22#1684057811yescharacteristic
716C4—41no—
717C4—42no—
718C4—41no—
719C4—42no—
720C4—81no—
721C4—1222no—
722C4—1222no—
723C4—4881no—
724C4—4881no—
725C4—2441no—
726C4—2442no—
727C4—2442no—
728C4C2×C4×C22⋊D6111yescharacteristic
729C4#1684023411yescharacteristic
730C4#1684040011yescharacteristic
731C4#1684044111yescharacteristic
732C2—44no—
733C2—2442no—
734C2#2144879611yescharacteristic
735C2#2145464111yescharacteristic
736C2#2145469111yescharacteristic
737C2#2145742411yescharacteristic
738C2#2145745911yescharacteristic
739C2#2145790511yescharacteristic
740C2#2145792011yescharacteristic
subgroupG/H
centerC23C2×D4×D61
commutatorC2×C4×C61C23×C4
FrattiniC22×C4C23×D61
FittingC2×C61×#440C2
socleC23×C61C22×D4
prime radicalC22×#11758224C22
cosocleC22×C4×C61C24
hypercenterC2×#440D61
hypocenterC61#22862
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C23 ◁ C2×C42 ◁ C2×#440

Complements

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

NH ≅ G/Ntype
3. #21448820C2semidirect
5. #21446677C2semidirect
6. #21446509C2semidirect
7. #21446459C2semidirect
8. #21446249C2semidirect
9. #21446160C2semidirect
10. #21446155C2semidirect
11. #21446066C2semidirect
12. #21446005C2semidirect
13. #102×Dic61C2semidirect
14. #21445604C2semidirect
15. C2×C61×#440C2semidirect
22. #16839921C4semidirect
76. C2×#11758202C2×C4semidirect
83. #14519753C2×C4semidirect
103. #14519702C2×C4semidirect
107. #14519698C2×C4semidirect
108. #14519689C2×C4semidirect
126. C2×SD16×C61C2×C4semidirect
363. C2×#440D61semidirect
432. C61#22862semidirect
453. C2×SD16C4×D61semidirect

Maximal subgroups

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

subgroupindex
C2×#168399212
C2×#168397602
#214488202
#214486442
#214466772
#214465092
#214464592
#214462492
#214461602
#214461552
#214460662
#214460052
#102×Dic612
#214456042
C2×C61×#4402
#2286261