Finite Group Databasebeta

← #29586274

Subgroups — #29586274

Order 15616.

1334 conjugacy classes of subgroups.

The subgroup lattice has 710 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#14519699C211yesmaximal, characteristic
2C22×#14519697C211yesmaximal, characteristic
3C22×C8×Dic61C211yesmaximal, characteristic, complemented
4C2×#16839663C211yesmaximal, characteristic
5C2×#16839524C211yesmaximal, characteristic, complemented
6#21444048C211yesmaximal, characteristic, complemented
7C2×C61×#340C211yesmaximal, characteristic, complemented
8C23×D244C2211yescharacteristic
9C23×#92418C2211yescharacteristic
10C22×C4⋊Dic61C2211yescharacteristic
11C22×#11758198—22no—
12C22×C4×Dic61C2211yescharacteristic
13C2×#14519699—22no—
14C2×#14519699—22no—
15C2×#14519699C414yescomplemented
16C2×#14519697—22no—
17C2×#14519697—22no—
18C2×#14519697C414yescomplemented
19C2×C8×Dic61—22no—
20C2×C8×Dic61—22no—
21C2×C8×Dic61—22no—
22#16839663—22no—
23#16839663C414yescomplemented
24C2×#14519684—22no—
25#16839524—22no—
26C23×C8×C61C2211yescharacteristic
27C22×C4⋊C4×C61C2211yescharacteristic
28C22×C4⋊C4×C61C2211yescharacteristic
29C61×#340—22no—
30C24×D61—21no—
31C22×D244—21no—
32C22×D244—21no—
33C22×D244—21no—
34C22×D244—21no—
35C22×D244—21no—
36C22×D244—21no—
37C22×D244—21no—
38C22×D244—21no—
39C22×D244—21no—
40C22×D244—21no—
41C22×D244—21no—
42C22×D244C2×C412yes—
43C22×D244C2×C412yes—
44C22×D244C2×C412yes—
45C23×Dic61—21no—
46C23×Dic61D412yes—
47C22×#92418—21no—
48C22×#92418—21no—
49C22×#92418—21no—
50C22×#92418—21no—
51C22×#92418C2×C412yes—
52C22×#92418D412yes—
53C22×#92418D412yes—
54C2×C4⋊Dic61—21no—
55C2×C4⋊Dic61—21no—
56C2×C4⋊Dic61—21no—
57C2×C4⋊Dic61—21no—
58C2×C4⋊Dic61—21no—
59C2×C4⋊Dic61C2×C412yes—
60C2×#11758198—28no—
61C2×#11758198—44no—
62C2×#11758198—44no—
63C2×C4×Dic61—21no—
64C2×C4×Dic61—21no—
65C2×C4×Dic61—21no—
66C2×C4×Dic61—21no—
67C2×C4×Dic61C2×C412yes—
68C2×C4×Dic61D412yes—
69#14519699—28no—
70#14519697—28no—
71C8×Dic61—28no—
72#14519684—44no—
73C23×C4×C61—21no—
74C23×C4×C61—21no—
75C23×C4×C61C2311yescharacteristic
76C22×C8×C61—21no—
77C22×C8×C61—21no—
78C22×C8×C61—21no—
79C22×C8×C61—21no—
80C22×C8×C61C2×C412yes—
81C22×C8×C61D412yes—
82C22×C8×C61D412yes—
83C2×C4⋊C4×C61—21no—
84C2×C4⋊C4×C61—21no—
85C2×C4⋊C4×C61—21no—
86C2×C4⋊C4×C61—21no—
87C2×C4⋊C4×C61—21no—
88C2×C4⋊C4×C61—21no—
89C2×C4⋊C4×C61—21no—
90C2×C4⋊C4×C61—21no—
91C2×C4⋊C4×C61—21no—
92C2×C4⋊C4×C61—21no—
93C2×C4⋊C4×C61C2×C412yes—
94C2×C4⋊C4×C61C2×C412yes—
95C24×C61C2×D411yescharacteristic
96C23×D61—22no—
97C23×D61—22no—
98C23×D61—22no—
99C23×D61—41no—
100C23×D61—41no—
101C23×D61—41no—
102C23×D61—41no—
103C23×D61—42no—
104C23×D61—42no—
105C23×D61—42no—
106C23×D61—42no—
107C22×C4×C61—22no—
108C22×C4×C61—22no—
109C22×C4×C61—41no—
110C22×C4×C61—41no—
111C22×C4×C61—41no—
112C22×C4×C61—41no—
113C22×C4×C61—42no—
114C22×C4×C61—42no—
115C22×C4×C61—42no—
116C22×C4×C61—42no—
117C22×C4×C61C22×C411yescharacteristic
118C22×C4×C61C22×C411yescharacteristic
119C22×C4×C61C22×C411yescharacteristic
120C22×C4×C61C2×D411yescharacteristic
121C22×C4×C61C2×D411yescharacteristic
122C22×C4×C61C2×D411yescharacteristic
123C22×C4×C61C2×D411yescharacteristic
124C22×C4×C61C2×D411yescharacteristic
125C22×C4×C61#4111yescharacteristic
126C22×C4×C61#4111yescharacteristic
127C22×C4×C61#4111yescharacteristic
128C22×C4×C61#4111yescharacteristic
129C22×C4×C61#4111yescharacteristic
130C22×C4×C61#4111yescharacteristic
131C22×Dic61—22no—
132C22×Dic61—22no—
133C22×Dic61—22no—
134C22×Dic61—22no—
135C22×Dic61—22no—
136C22×Dic61—41no—
137C22×Dic61—41no—
138C22×Dic61—42no—
139C22×Dic61—42no—
140C22×Dic61C22⋊C414yes—
141C22×Dic61D814yes—
142C22×Dic61SD1614yes—
143C2×D244—22no—
144C2×D244—22no—
145C2×D244—22no—
146C2×D244—22no—
147C2×D244—22no—
148C2×D244—22no—
149C2×D244—22no—
150C2×D244—22no—
151C2×D244—22no—
152C2×D244—22no—
153C2×D244—22no—
154C2×D244—22no—
155C2×D244—22no—
156C2×D244—22no—
157C2×D244—22no—
158C2×D244—41no—
159C2×D244—41no—
160C2×D244—41no—
161C2×D244—41no—
162C2×D244—41no—
163C2×D244—41no—
164C2×D244—41no—
165C2×D244—41no—
166C2×D244—41no—
167C2×D244—41no—
168C2×D244—41no—
169C2×D244—41no—
170C2×D244C4214yes—
171C2×C8×C61—22no—
172C2×C8×C61—22no—
173C2×C8×C61—22no—
174C2×C8×C61—22no—
175C2×C8×C61—22no—
176C2×C8×C61—22no—
177C2×C8×C61C22⋊C414yescomplemented
178C4⋊C4×C61—22no—
179C4⋊C4×C61—22no—
180C4⋊C4×C61—22no—
181C4⋊C4×C61—22no—
182C4⋊C4×C61—41no—
183C4⋊C4×C61—41no—
184C4⋊C4×C61—41no—
185C4⋊C4×C61—41no—
186#11758198—416no—
187C4⋊Dic61—22no—
188C4⋊Dic61—22no—
189C4⋊Dic61—41no—
190C4⋊Dic61—41no—
191C4×Dic61—22no—
192C4×Dic61—22no—
193C4×Dic61—22no—
194C4×Dic61—22no—
195C2×#92418—22no—
196C2×#92418—22no—
197C2×#92418—22no—
198C2×#92418—22no—
199C2×#92418—22no—
200C2×#92418—22no—
201C2×#92418C22⋊C414yescomplemented
202C23×C61C2×C22⋊C411yescharacteristic
203C23×C61C4×D411yescharacteristic
204C23×C61C4×D411yescharacteristic
205C23×C61#12111yescharacteristic
206C23×C61#12111yescharacteristic
207C23×C61#12411yescharacteristic
208C23×C61#12711yescharacteristic
209C23×C61C2×D812yes—
210C23×C61C2×SD1612yes—
211C23×C61#13512yes—
212C23×C61#13512yes—
213C22×D61—24no—
214C22×D61—42no—
215C22×D61—42no—
216C22×D61—42no—
217C22×D61—42no—
218C22×D61—42no—
219C22×D61—42no—
220C22×D61—44no—
221C22×D61—44no—
222C22×D61—44no—
223C22×D61—44no—
224C22×D61—44no—
225C22×D61—44no—
226C22×D61—82no—
227C22×D61—82no—
228C22×D61—82no—
229C22×D61—82no—
230C22×D61—82no—
231C22×D61—82no—
232C22×D61—81no—
233C22×D61—81no—
234C22×D61—81no—
235C22×D61—81no—
236C2×C4×C61—42no—
237C2×C4×C61—42no—
238C2×C4×C61—44no—
239C2×C4×C61—44no—
240C2×C4×C61—82no—
241C2×C4×C61—82no—
242C2×C4×C61—81no—
243C2×C4×C61—81no—
244C2×C4×C61—81no—
245C2×C4×C61—81no—
246C2×C4×C61C2×C4211yescharacteristic
247C2×C4×C61C2×C22⋊C411yescharacteristic
248C2×C4×C61C2×C22⋊C411yescharacteristic
249C2×C4×C61#11711yescharacteristic
250C2×C4×C61#11711yescharacteristic
251C2×C4×C61#11711yescharacteristic
252C2×C4×C61C4×D411yescharacteristic
253C2×C4×C61C4×D411yescharacteristic
254C2×C4×C61C4×D411yescharacteristic
255C2×C4×C61C4×D411yescharacteristic
256C2×C4×C61C4×D411yescharacteristic
257C2×C4×C61C4×D411yescharacteristic
258C2×C4×C61C4×D411yescharacteristic
259C2×C4×C61C4×D411yescharacteristic
260C2×C4×C61C4×D411yescharacteristic
261C2×C4×C61C4×D411yescharacteristic
262C2×C4×C61#12011yescharacteristic
263C2×C4×C61#12111yescharacteristic
264C2×C4×C61#12111yescharacteristic
265C2×C4×C61#12111yescharacteristic
266C2×C4×C61#12111yescharacteristic
267C2×C4×C61#12311yescharacteristic
268C2×C4×C61#12311yescharacteristic
269C2×C4×C61#12311yescharacteristic
270C2×C4×C61#12411yescharacteristic
271C2×C4×C61#12411yescharacteristic
272C2×C4×C61#12611yescharacteristic
273C2×C4×C61#12611yescharacteristic
274C2×Dic61—24no—
275C2×Dic61—24no—
276C2×Dic61—24no—
277C2×Dic61—24no—
278C2×Dic61—24no—
279C2×Dic61—24no—
280C2×Dic61—42no—
281C2×Dic61—44no—
282C2×Dic61—82no—
283C2×Dic61—81no—
284C2×Dic61—81no—
285C2×Dic61#10218yescomplemented
286D244—24no—
287D244—24no—
288D244—42no—
289D244—42no—
290D244—42no—
291D244—42no—
292D244—42no—
293D244—42no—
294C8×C61—24no—
295#92418—24no—
296#10925—611nomaximal, Sylow
297C22×C61C4×C22⋊C411yescharacteristic
298C22×C61#38611yescharacteristic
299C22×C61#38811yescharacteristic
300C22×C61#38811yescharacteristic
301C22×C61#39011yescharacteristic
302C22×C61#39011yescharacteristic
303C22×C61#39011yescharacteristic
304C22×C61C2×#10212yes—
305C22×C61#41612yes—
306C22×C61C4×D812yes—
307C22×C61C4×D812yes—
308C22×C61C4×SD1612yes—
309C22×C61C4×SD1612yes—
310C22×C61#46512yes—
311C22×C61#46512yes—
312C22×C61#46612yes—
313C22×C61#46612yes—
314C22×C61#48612yes—
315C22×C61#48812yes—
316C22×C61#49211yescharacteristic
317C22×C61#49311yescharacteristic
318C22×C61#49511yescharacteristic
319C22×C61#49511yescharacteristic
320C2×D61—44no—
321C2×D61—48no—
322C2×D61—84no—
323C2×D61—84no—
324C2×D61—84no—
325C2×D61—82no—
326C2×D61—82no—
327C2×D61—82no—
328C2×D61—82no—
329C2×D61—82no—
330C2×D61—82no—
331C4×C61—82no—
332C4×C61—82no—
333C4×C61C4×C22⋊C411yescharacteristic
334C4×C61C4×C22⋊C411yescharacteristic
335C4×C61#38611yescharacteristic
336C4×C61#38611yescharacteristic
337C4×C61#38811yescharacteristic
338C4×C61#38811yescharacteristic
339C4×C61#38811yescharacteristic
340C4×C61#38811yescharacteristic
341Dic61—28no—
342Dic61—82no—
343C22×#102—611no—
344C22×#102—611no—
345C22×C4×C8—611no—
346C2×#390—611no—
347C2×#340—611no—
348C2×#340D6111yescharacteristic, complemented
349C4⋊#95—611no—
350C2×C61#143711yescharacteristic
351C2×C61C4×#10212yes—
352C2×C61#189312yes—
353C2×C61#193412yes—
354C2×C61#193412yes—
355C2×C61#195711yescharacteristic
356C2×C61#195811yescharacteristic
357C2×C61#196811yescharacteristic
358C2×C61#196811yescharacteristic
359C2×C61#197011yescharacteristic
360C2×C61#197011yescharacteristic
361D61—84no—
362C23×D4—611no—
363C23×C8—611no—
364C23×C8C2×D6111yescharacteristic
365C22×C4⋊C4—611no—
366C22×C4⋊C4C2×D6111yescharacteristic
367C22×C4⋊C4C2×D6111yescharacteristic
368C22×C22⋊C4—1222no—
369C22×C42—611no—
370C2×#102—614no—
371C2×#102—614no—
372C2×#102—1222no—
373C2×#102—1222no—
374C2×#102—1222no—
375C2×#102—1222no—
376C2×C4×C8—1222no—
377C2×C4×C8—1222no—
378C2×C4×C8—1222no—
379#390—614no—
380#390—1222no—
381C2×#95—1222no—
382#340—22no—
383#340—1222no—
384C61#1092511yescharacteristic, complemented, Sylow
385C25—1221no—
386C22×D4—612no—
387C22×D4—612no—
388C22×D4—612no—
389C22×D4—1221no—
390C22×D4—1221no—
391C22×D4—1221no—
392C22×D4—1221no—
393C22×D4—1221no—
394C22×D4—1221no—
395C22×D4—1221no—
396C22×D4—1221no—
397C22×D4—1221no—
398C22×D4—1221no—
399C22×D4—1221no—
400C23×C4—21no—
401C23×C4—21no—
402C23×C4—612no—
403C23×C4—1221no—
404C23×C4C22×D6111yescharacteristic
405C22×C8—21no—
406C22×C8—21no—
407C22×C8—21no—
408C22×C8—21no—
409C22×C8—612no—
410C22×C8—612no—
411C22×C8—612no—
412C22×C8—1221no—
413C22×C8—1221no—
414C22×C8—1221no—
415C22×C8—1221no—
416C22×C8C4×D6112yes—
417C22×C8D24412yes—
418C22×C8C22⋊D6112yes—
419C2×C4⋊C4—21no—
420C2×C4⋊C4—21no—
421C2×C4⋊C4—21no—
422C2×C4⋊C4—21no—
423C2×C4⋊C4—21no—
424C2×C4⋊C4—21no—
425C2×C4⋊C4—21no—
426C2×C4⋊C4—21no—
427C2×C4⋊C4—21no—
428C2×C4⋊C4—21no—
429C2×C4⋊C4—612no—
430C2×C4⋊C4—1221no—
431C2×C4⋊C4—1221no—
432C2×C4⋊C4—1221no—
433C2×C4⋊C4—1221no—
434C2×C4⋊C4—1221no—
435C2×C4⋊C4C4×D6112yes—
436C2×C4⋊C4C4×D6112yes—
437C2×C22⋊C4—1228no—
438C2×C22⋊C4—2444no—
439C2×C22⋊C4—2444no—
440C2×C42—612no—
441C2×C42—612no—
442C2×C42—1221no—
443C2×C42—1221no—
444C2×C42—1221no—
445C2×C42—1221no—
446#102—1228no—
447#102—1228no—
448C4×C8—1228no—
449#95—2444no—
450C24—1222no—
451C24—1222no—
452C24—1222no—
453C24—2441no—
454C24—2441no—
455C24—2441no—
456C24—2441no—
457C24—2442no—
458C24—2442no—
459C24—2442no—
460C24—2442no—
461C24D4×D6111yescharacteristic
462C2×D4—614no—
463C2×D4—1222no—
464C2×D4—1222no—
465C2×D4—1222no—
466C2×D4—1222no—
467C2×D4—1222no—
468C2×D4—1222no—
469C2×D4—1222no—
470C2×D4—1222no—
471C2×D4—1222no—
472C2×D4—1222no—
473C2×D4—1222no—
474C2×D4—1222no—
475C2×D4—1222no—
476C2×D4—1222no—
477C2×D4—1222no—
478C2×D4—2441no—
479C2×D4—2441no—
480C2×D4—2441no—
481C2×D4—2441no—
482C2×D4—2441no—
483C2×D4—2441no—
484C2×D4—2441no—
485C2×D4—2441no—
486C2×D4—2441no—
487C2×D4—2441no—
488C2×D4—2441no—
489C2×D4—2441no—
490C22×C4—22no—
491C22×C4—22no—
492C22×C4—41no—
493C22×C4—41no—
494C22×C4—41no—
495C22×C4—41no—
496C22×C4—42no—
497C22×C4—42no—
498C22×C4—42no—
499C22×C4—42no—
500C22×C4—614no—
501C22×C4—614no—
502C22×C4—614no—
503C22×C4—1222no—
504C22×C4—1222no—
505C22×C4—1222no—
506C22×C4—1222no—
507C22×C4—1222no—
508C22×C4—2441no—
509C22×C4—2441no—
510C22×C4—2442no—
511C22×C4—2442no—
512C22×C4C2×C4×D6111yescharacteristic
513C22×C4C2×C4×D6111yescharacteristic
514C22×C4C2×C4×D6111yescharacteristic
515C22×C4C2×D24411yescharacteristic
516C22×C4#1175822211yescharacteristic
517C22×C4#1175822211yescharacteristic
518C22×C4D4×D6111yescharacteristic
519C22×C4D4×D6111yescharacteristic
520C22×C4D4×D6111yescharacteristic
521C22×C4#1175822411yescharacteristic
522C22×C4#1175822411yescharacteristic
523C22×C4#1175822611yescharacteristic
524C22×C4#1175822611yescharacteristic
525C22×C4C2×C22⋊D6111yescharacteristic
526C2×C8—22no—
527C2×C8—22no—
528C2×C8—22no—
529C2×C8—22no—
530C2×C8—22no—
531C2×C8—22no—
532C2×C8—614no—
533C2×C8—1222no—
534C2×C8—1222no—
535C2×C8—1222no—
536C2×C8—1222no—
537C2×C8—1222no—
538C2×C8—1222no—
539C2×C8#1175819814yescomplemented
540C4⋊C4—22no—
541C4⋊C4—22no—
542C4⋊C4—22no—
543C4⋊C4—22no—
544C4⋊C4—41no—
545C4⋊C4—41no—
546C4⋊C4—41no—
547C4⋊C4—41no—
548C4⋊C4—1222no—
549C4⋊C4—1222no—
550C4⋊C4—2441no—
551C4⋊C4—2441no—
552C22⋊C4—24416no—
553C42—1222no—
554C42—1222no—
555C42—1222no—
556C42—1222no—
557C23—1224no—
558C23—4882no—
559C23—4882no—
560C23—4882no—
561C23—4882no—
562C23—4882no—
563C23—4882no—
564C23—4881no—
565C23—4881no—
566C23—4881no—
567C23—4881no—
568C23—2444no—
569C23—2444no—
570C23—2444no—
571C23—2444no—
572C23—2444no—
573C23—2444no—
574C23—2442no—
575C23—2442no—
576C23—2442no—
577C23—2442no—
578C23—2442no—
579C23—2442no—
580C23C22⋊C4×D6111yescharacteristic
581C23#1451973711yescharacteristic
582C23#1451973911yescharacteristic
583C23#1451975011yescharacteristic
584C23#1451975211yescharacteristic
585C23#1451976311yescharacteristic
586C23#1451977311yescharacteristic
587C23D8×D6112yes—
588C23SD16×D6112yes—
589C23#1451979812yes—
590C23#1451980012yes—
591D4—1224no—
592D4—1224no—
593D4—2442no—
594D4—2442no—
595D4—2442no—
596D4—2442no—
597D4—2442no—
598D4—2442no—
599C2×C4—44no—
600C2×C4—44no—
601C2×C4—42no—
602C2×C4—42no—
603C2×C4—82no—
604C2×C4—82no—
605C2×C4—81no—
606C2×C4—81no—
607C2×C4—81no—
608C2×C4—81no—
609C2×C4—618no—
610C2×C4—1224no—
611C2×C4—1224no—
612C2×C4—1224no—
613C2×C4—1224no—
614C2×C4—1224no—
615C2×C4—1224no—
616C2×C4—4882no—
617C2×C4—4881no—
618C2×C4—4881no—
619C2×C4—2444no—
620C2×C4—2442no—
621C2×C4C42×D6111yescharacteristic
622C2×C4C22⋊C4×D6111yescharacteristic
623C2×C4C2×#1175819811yescharacteristic
624C2×C4#1451973411yescharacteristic
625C2×C4#1451973511yescharacteristic
626C2×C4#1451973511yescharacteristic
627C2×C4#1451973711yescharacteristic
628C2×C4#1451973711yescharacteristic
629C2×C4#1451973711yescharacteristic
630C2×C4C4×C22⋊D6111yescharacteristic
631C2×C4C4×C22⋊D6111yescharacteristic
632C2×C4#1451973911yescharacteristic
633C2×C4#1451973911yescharacteristic
634C2×C4#1451973911yescharacteristic
635C2×C4C4×D24411yescharacteristic
636C2×C4C4×D24411yescharacteristic
637C2×C4#1451974711yescharacteristic
638C2×C4#1451974911yescharacteristic
639C2×C4#1451974911yescharacteristic
640C2×C4#1451975011yescharacteristic
641C2×C4#1451975211yescharacteristic
642C2×C4#1451976111yescharacteristic
643C2×C4#1451976211yescharacteristic
644C2×C4#1451976211yescharacteristic
645C2×C4#1451976311yescharacteristic
646C2×C4#1451976611yescharacteristic
647C2×C4#1451977211yescharacteristic
648C2×C4#1451977211yescharacteristic
649C8—24no—
650C8—1224no—
651C22—4882no—
652C22—4882no—
653C22—4882no—
654C22—4882no—
655C22—4884no—
656C22—4884no—
657C22—4884no—
658C22—4882no—
659C22—4882no—
660C22—2448no—
661C22—2444no—
662C22#1683960911yescharacteristic
663C22#1683964011yescharacteristic
664C22#1683965111yescharacteristic
665C22#1683965411yescharacteristic
666C22#1683966211yescharacteristic
667C22#1683966211yescharacteristic
668C22#1683966311yescharacteristic
669C22#102×D6112yes—
670C22#1683975712yes—
671C22#1683984212yes—
672C22#1683984412yes—
673C22#1683984712yes—
674C22#1683984912yes—
675C22#1683999212yes—
676C22#1683999412yes—
677C22#1683999712yes—
678C22#1683999912yes—
679C22#1684010712yes—
680C22#1684011812yes—
681C22#1684013311yescharacteristic
682C22#1684013711yescharacteristic
683C22#1684014311yescharacteristic
684C22#1684014711yescharacteristic
685C4—82no—
686C4—82no—
687C4—1228no—
688C4—4882no—
689C4#1683960911yescharacteristic
690C4C4×#1175819811yescharacteristic
691C4#1683963911yescharacteristic
692C4#1683964011yescharacteristic
693C4#1683965111yescharacteristic
694C4#1683965211yescharacteristic
695C4#1683965211yescharacteristic
696C4#1683965411yescharacteristic
697C2—4884no—
698C2#2144405511yescharacteristic
699C2#2144563312yes—
700C2#2144624612yes—
701C2#2144650012yes—
702C2#2144650312yes—
703C2#2144662311yescharacteristic
704C2#2144662711yescharacteristic
705C2#2144667011yescharacteristic
706C2#2144667111yescharacteristic
707C2#2144668211yescharacteristic
708C2#2144668311yescharacteristic
subgroupG/H
centerC24D4×D61
commutatorC2×C4×C61C2×C42
FrattiniC23×C4C22×D61
FittingC2×C61×#340C2
socleC24×C61C2×D4
prime radicalC23×D244C22
cosocleC23×C4×C61C23
hypercenterC2×#340D61
hypocenterC61#10925
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C24 ◁ C23×C4 ◁ C2×#340

Complements

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

NH ≅ G/Ntype
3. C22×C8×Dic61C2semidirect
5. C2×#16839524C2semidirect
6. #21444048C2semidirect
7. C2×C61×#340C2semidirect
15. C2×#14519699C4semidirect
18. C2×#14519697C4semidirect
23. #16839663C4semidirect
177. C2×C8×C61C22⋊C4semidirect
201. C2×#92418C22⋊C4semidirect
285. C2×Dic61#102semidirect
348. C2×#340D61semidirect
384. C61#10925semidirect
539. C2×C8#11758198semidirect

Maximal subgroups

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

subgroupindex
C22×#145196992
C22×#145196972
C22×C8×Dic612
C2×#168396632
C2×#168395242
#214440482
C2×C61×#3402
#1092561