Finite Group Databasebeta

← #29679952

Subgroups — #29679952

Order 15616.

1378 conjugacy classes of subgroups.

The subgroup lattice has 732 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C4×#11758224C211yesmaximal, characteristic
2#21448214C212yesmaximal, complemented
3#21445895C212yesmaximal, complemented
4#21445807C211yesmaximal, characteristic, complemented
5#21445804C212yesmaximal, complemented
6#21445735C212yesmaximal
7#99×Dic61C212yesmaximal, complemented
8#21445606C212yesmaximal, complemented
9C61×#1799C211yesmaximal, characteristic, complemented
10C22×#11758224C2211yescharacteristic
11C4×#11758224—22no—
12C4×#11758224—22no—
13C4×#11758224—22no—
14C4×#11758224—22no—
15C2×C4×Dic122C411yescharacteristic, complemented
16C2×#14519742C411yescharacteristic, complemented
17C2×D4×Dic61C2211yescharacteristic
18C2×C4×C22⋊D61C411yescharacteristic, complemented
19C2×C4×C22⋊D61C2211yescharacteristic
20C2×#14519737C411yescharacteristic, complemented
21C2×#14519737C2211yescharacteristic
22C2×#14519735C411yescharacteristic, complemented
23C2×#14519733C411yescharacteristic, complemented
24C2×#14519733C2211yescharacteristic
25C22×C4×Dic61C411yescharacteristic, complemented
26C22×C4×Dic61C2211yescharacteristic
27C2×C42×D61C411yescharacteristic, complemented
28C2×#14519692C2212yes—
29C2×#14519691C2214yes—
30#16839629—22no—
31#16839627—22no—
32#16839623C2214yes—
33#16839622C2212yes—
34C4⋊C4×Dic61—22no—
35C22⋊C4×Dic61C2214yes—
36#16839607—22no—
37#16839529C2212yes—
38#16839528C2214yes—
39C2×C4×D4×C61C2211yescharacteristic
40C2×#99×C61C2212yes—
41C61×#380C2212yes—
42C61×#342C2212yes—
43C2×#11758224—22no—
44C2×#11758224—22no—
45C2×#11758224—24no—
46C2×#11758224—22no—
47C2×#11758224—22no—
48C22×Dic122C2×C411yescharacteristic
49C22×C22⋊D61C2×C411yescharacteristic
50C22×C22⋊D61C2311yescharacteristic
51C23×Dic61C2×C411yescharacteristic
52C23×Dic61C2×C411yescharacteristic
53C23×Dic61C2311yescharacteristic
54C23×Dic61C2311yescharacteristic
55C22×C4×D61C2×C411yescharacteristic
56C22×C4×D61C2×C411yescharacteristic
57C22×C4×D61C2×C411yescharacteristic
58C4×Dic122—22no—
59C4×Dic122—22no—
60#14519742—22no—
61#14519742—22no—
62D4×Dic61—22no—
63D4×Dic61—22no—
64C4×C22⋊D61—22no—
65C4×C22⋊D61—22no—
66C4×C22⋊D61—22no—
67C4×C22⋊D61—22no—
68#14519737—22no—
69#14519737—22no—
70#14519737—22no—
71#14519737—22no—
72#14519735—22no—
73#14519735—22no—
74#14519733—22no—
75#14519733—22no—
76#14519733—22no—
77#14519733—22no—
78C2×C4⋊Dic61—22no—
79C2×C4⋊Dic61C2×C411yescharacteristic
80C2×#11758196C2×C411yescharacteristic
81C2×#11758196C2×C411yescharacteristic
82C2×#11758196C2×C411yescharacteristic
83C2×#11758196C2×C411yescharacteristic
84C2×C22⋊Dic61C2×C411yescharacteristic
85C2×C22⋊Dic61C2314yes—
86C2×C22⋊Dic61C2311yescharacteristic
87C2×#11758198C2×C411yescharacteristic
88C2×#11758198C2×C411yescharacteristic
89C2×C4×Dic61—21no—
90C2×C4×Dic61—21no—
91C2×C4×Dic61—21no—
92C2×C4×Dic61—21no—
93C2×C4×Dic61—24no—
94C2×C4×Dic61C2×C411yescharacteristic
95C2×C4×Dic61C2×C411yescharacteristic
96C2×C4×Dic61C2×C411yescharacteristic
97C2×C4×Dic61C2×C411yescharacteristic
98C2×C4×Dic61C2×C411yescharacteristic
99C2×C4×Dic61C2×C411yescharacteristic
100C2×C4×Dic61C2×C411yescharacteristic
101C2×C4×Dic61C2×C411yescharacteristic
102C2×C4×Dic61C2×C411yescharacteristic
103C2×C4×Dic61D412yes—
104C2×C4×Dic61D412yes—
105C2×C4×Dic61D412yes—
106C2×C4×Dic61D412yes—
107C42×D61—21no—
108C42×D61—21no—
109C42×D61—21no—
110C42×D61—21no—
111#14519692—24no—
112#14519691—28no—
113#14519684—22no—
114#14519684—24no—
115#14519684—24no—
116#14519684—24no—
117C22×D4×C61C2311yescharacteristic
118C23×C4×C61C2×C411yescharacteristic
119C23×C4×C61C2311yescharacteristic
120C4×D4×C61—22no—
121C4×D4×C61—22no—
122C2×C4⋊C4×C61—22no—
123C2×C4⋊C4×C61C2×C411yescharacteristic
124C2×C22⋊C4×C61C2×C411yescharacteristic
125C2×C22⋊C4×C61C2314yes—
126C2×C22⋊C4×C61C2311yescharacteristic
127C2×C42×C61C2×C411yescharacteristic
128#99×C61—24no—
129#95×C61—22no—
130C24×C61C22×C411yescharacteristic
131C24×C61C2411yescharacteristic
132C23×D61C22×C411yescharacteristic
133C2×D4×C61—22no—
134C2×D4×C61—22no—
135C2×D4×C61#4112yes—
136C2×D4×C61#4112yes—
137C22×C4×C61—21no—
138C22×C4×C61—21no—
139C22×C4×C61—24no—
140C22×C4×C61—42no—
141C22×C4×C61—42no—
142C22×C4×C61C22×C411yescharacteristic
143C22×C4×C61C22×C411yescharacteristic
144C22×C4×C61C22×C411yescharacteristic
145C22×C4×C61C22×C411yescharacteristic
146C22×C4×C61C22×C411yescharacteristic
147C22×C4×C61C2×D412yes—
148C22×C4×C61C2×D412yes—
149C2×C22⋊D61—22no—
150C2×C22⋊D61—22no—
151C2×C22⋊D61—21no—
152C2×C22⋊D61—21no—
153C2×C22⋊D61—22no—
154C2×C22⋊D61—22no—
155C2×C22⋊D61#4114yes—
156C22×Dic61—22no—
157C22×Dic61—22no—
158C22×Dic61—21no—
159C22×Dic61—21no—
160C22×Dic61—21no—
161C22×Dic61—21no—
162C22×Dic61—22no—
163C22×Dic61—21no—
164C22×Dic61—21no—
165C22×Dic61—24no—
166C22×Dic61—42no—
167C22×Dic61—42no—
168C22×Dic61C22×C411yescharacteristic
169C22×Dic61C22×C411yescharacteristic
170C22×Dic61C22×C411yescharacteristic
171C22×Dic61C22×C411yescharacteristic
172C22×Dic61C22×C411yescharacteristic
173C22×Dic61C22×C411yescharacteristic
174C22×Dic61C22×C411yescharacteristic
175C22×Dic61C2×D412yes—
176C22×Dic61C2×D412yes—
177C22×Dic61C2×D412yes—
178C22×Dic61C2×D412yes—
179#11758224—28no—
180#11758224—28no—
181#11758224—28no—
182#11758224—28no—
183C2×C4×D61—22no—
184C2×C4×D61—22no—
185C2×C4×D61—21no—
186C2×C4×D61—21no—
187C2×C4×D61—21no—
188C2×C4×D61—21no—
189C2×C4×D61—21no—
190C2×C4×D61—21no—
191C2×C4×D61—42no—
192C2×C4×D61—42no—
193C2×Dic122—22no—
194C2×Dic122—22no—
195C2×Dic122—22no—
196C4⋊C4×C61—22no—
197C4⋊C4×C61—44no—
198C22⋊C4×C61—22no—
199C22⋊C4×C61—22no—
200C22⋊C4×C61—24no—
201C22⋊C4×C61—24no—
202C42×C61—21no—
203C42×C61—21no—
204C22⋊Dic61—22no—
205C22⋊Dic61—22no—
206C22⋊Dic61—24no—
207C22⋊Dic61—24no—
208#11758198—22no—
209#11758198—22no—
210C4⋊Dic61—22no—
211C4⋊Dic61—44no—
212#11758196—22no—
213#11758196—22no—
214#11758196—22no—
215#11758196—22no—
216C4×Dic61—21no—
217C4×Dic61—21no—
218C4×Dic61—21no—
219C4×Dic61—21no—
220C4×Dic61—21no—
221C4×Dic61—21no—
222C4×Dic61—21no—
223C4×Dic61—21no—
224C4×Dic61—21no—
225C4×Dic61—21no—
226C4×Dic61—48no—
227C4×Dic61C22⋊C411yescharacteristic
228C4×Dic61C22⋊C411yescharacteristic
229C4×Dic61C22⋊C411yescharacteristic
230C4×Dic61C22⋊C411yescharacteristic
231C4×Dic61C22⋊C412yes—
232C4×Dic61C22⋊C412yes—
233C4×Dic61C22⋊C412yes—
234C4×Dic61C22⋊C412yes—
235C4×Dic61C22⋊C412yes—
236C4×Dic61C22⋊C412yes—
237C23×C61—21no—
238C23×C61—21no—
239C23×C61—41no—
240C23×C61—41no—
241C23×C61—41no—
242C23×C61—41no—
243C23×C61#11712yes—
244C23×C61C23×C411yescharacteristic
245C23×C61C22×D412yes—
246C23×C61C2×#4112yes—
247C23×C61C2×#4111yescharacteristic
248C23×C61C2×#4111yescharacteristic
249C22×D61—21no—
250C22×D61—21no—
251C22×D61—41no—
252C22×D61—41no—
253C22×D61#11712yes—
254D4×C61—24no—
255D4×C61—24no—
256C2×C4×C61—21no—
257C2×C4×C61—21no—
258C2×C4×C61—24no—
259C2×C4×C61—22no—
260C2×C4×C61—21no—
261C2×C4×C61—21no—
262C2×C4×C61—41no—
263C2×C4×C61—42no—
264C2×C4×C61—42no—
265C2×C4×C61—42no—
266C2×C4×C61—41no—
267C2×C4×C61—41no—
268C2×C4×C61—44no—
269C2×C4×C61—44no—
270C2×C4×C61—44no—
271C2×C4×C61C2×C22⋊C411yescharacteristic
272C2×C4×C61C2×C22⋊C412yes—
273C2×C4×C61C2×C22⋊C411yescharacteristic
274C2×C4×C61#11712yes—
275C22⋊D61—28no—
276C22⋊D61—24no—
277C22⋊D61—24no—
278C2×Dic61—24no—
279C2×Dic61—24no—
280C2×Dic61—21no—
281C2×Dic61—21no—
282C2×Dic61—21no—
283C2×Dic61—21no—
284C2×Dic61—21no—
285C2×Dic61—21no—
286C2×Dic61—22no—
287C2×Dic61—22no—
288C2×Dic61—22no—
289C2×Dic61—22no—
290C2×Dic61—24no—
291C2×Dic61—22no—
292C2×Dic61—21no—
293C2×Dic61—21no—
294C2×Dic61—41no—
295C2×Dic61—42no—
296C2×Dic61—42no—
297C2×Dic61—42no—
298C2×Dic61—41no—
299C2×Dic61—41no—
300C2×Dic61—44no—
301C2×Dic61—44no—
302C2×Dic61—44no—
303C2×Dic61C2×C22⋊C411yescharacteristic
304C2×Dic61C2×C22⋊C411yescharacteristic
305C2×Dic61C2×C22⋊C411yescharacteristic
306C2×Dic61C2×C22⋊C412yes—
307C2×Dic61C2×C22⋊C412yes—
308C2×Dic61C2×C22⋊C411yescharacteristic
309C2×Dic61#11712yes—
310C4×D61—24no—
311C4×D61—24no—
312C4×D61—42no—
313C4×D61—42no—
314C4×D61—42no—
315C4×D61—42no—
316Dic122—28no—
317#20723—611nomaximal, Sylow
318C22×C61—22no—
319C22×C61—21no—
320C22×C61—22no—
321C22×C61—21no—
322C22×C61—22no—
323C22×C61—42no—
324C22×C61—41no—
325C22×C61—41no—
326C22×C61—42no—
327C22×C61—42no—
328C22×C61—41no—
329C22×C61—41no—
330C22×C61C22×C22⋊C411yescharacteristic
331C22×C61C2×#11711yescharacteristic
332C22×C61C2×#11711yescharacteristic
333C22×C61#52512yes—
334C22×C61#52512yes—
335C2×D61—22no—
336C2×D61—42no—
337C2×D61—41no—
338C2×D61—41no—
339C2×D61—42no—
340C4×C61—21no—
341C4×C61—22no—
342C4×C61—22no—
343C4×C61—41no—
344C4×C61—41no—
345C4×C61—84no—
346C4×C61#41012yes—
347Dic61—21no—
348Dic61—22no—
349Dic61—22no—
350Dic61—22no—
351Dic61—21no—
352Dic61—21no—
353Dic61—41no—
354Dic61—41no—
355Dic61—84no—
356Dic61#41012yes—
357C2×C4×#41—611no—
358#2283—612no—
359#1820—612no—
360#1799—612no—
361#1799—611no—
362#1799D6111yescharacteristic, complemented
363#1782—612no—
364C4×#99—612no—
365C4×#99—612no—
366C2×C61—22no—
367C2×C61—22no—
368C2×C61—21no—
369C2×C61—21no—
370C2×C61—42no—
371C2×C61#228011yescharacteristic
372C2×C61C2×#41011yescharacteristic
373C2×C61C2×#41011yescharacteristic
374D61—42no—
375C22×#41—611no—
376C4×#41—1222no—
377C4×#41—1222no—
378C4×#41—1222no—
379C4×#41—1222no—
380C2×C4×Q8—611no—
381C2×C4×Q8—611no—
382C2×C4×D4—611no—
383C2×C4×D4—611no—
384C2×C4×D4—611no—
385C2×C4×D4—611no—
386C2×C4×D4—611no—
387C2×C4×D4C2×D6111yescharacteristic
388C2×#117—611no—
389C2×#117—611no—
390C2×#117—611no—
391C22×C42—611no—
392C22×C42—611no—
393C22×C42—611no—
394C2×#99—612no—
395C2×#99—614no—
396C2×#99C2×D6112yes—
397#383—1222no—
398#382—1222no—
399#381—614no—
400#380—612no—
401#380C2×D6112yes—
402C4×C4⋊C4—1222no—
403C4×C22⋊C4—614no—
404#376—1222no—
405#342—614no—
406#342—612no—
407#342C2×D6112yes—
408C61#2072311yescharacteristic, complemented, Sylow
409C2×#41—1222no—
410C2×#41—1222no—
411C2×#41—1224no—
412C2×#41—1222no—
413C2×#41—1222no—
414C22×Q8—611no—
415C22×D4—611no—
416C22×D4—611no—
417C22×D4C22×D6111yescharacteristic
418C23×C4—611no—
419C23×C4—611no—
420C23×C4—611no—
421C23×C4—611no—
422C23×C4—611no—
423C23×C4—611no—
424C23×C4—611no—
425C23×C4C4×D6111yescharacteristic
426C23×C4C22×D6111yescharacteristic
427C4×Q8—1222no—
428C4×Q8—1222no—
429C4×Q8—1222no—
430C4×Q8—1222no—
431C4×D4—22no—
432C4×D4—22no—
433C4×D4—1222no—
434C4×D4—1222no—
435C4×D4—1222no—
436C4×D4—1222no—
437C4×D4—1222no—
438C4×D4—1222no—
439C4×D4—1222no—
440C4×D4—1222no—
441C4×D4—1222no—
442C4×D4—1222no—
443#117—1222no—
444#117—1222no—
445#117—1222no—
446#117—1222no—
447#117—1222no—
448#117—1222no—
449C2×C4⋊C4—22no—
450C2×C4⋊C4—611no—
451C2×C4⋊C4—611no—
452C2×C4⋊C4—611no—
453C2×C4⋊C4—611no—
454C2×C4⋊C4—611no—
455C2×C4⋊C4—1222no—
456C2×C4⋊C4C4×D6111yescharacteristic
457C2×C22⋊C4—611no—
458C2×C22⋊C4—611no—
459C2×C22⋊C4—611no—
460C2×C22⋊C4—611no—
461C2×C22⋊C4—614no—
462C2×C22⋊C4C4×D6111yescharacteristic
463C2×C22⋊C4C22×D6114yes—
464C2×C22⋊C4C22×D6111yescharacteristic
465C2×C42—611no—
466C2×C42—611no—
467C2×C42—611no—
468C2×C42—611no—
469C2×C42—612no—
470C2×C42—612no—
471C2×C42—612no—
472C2×C42—612no—
473C2×C42—611no—
474C2×C42—611no—
475C2×C42—611no—
476C2×C42—611no—
477C2×C42—611no—
478C2×C42—1221no—
479C2×C42—1221no—
480C2×C42—1221no—
481C2×C42—1221no—
482C2×C42—1221no—
483C2×C42—1221no—
484C2×C42—1221no—
485C2×C42—1221no—
486C2×C42—1224no—
487C2×C42C4×D6111yescharacteristic
488#99—24no—
489#99—1228no—
490#99—1224no—
491#95—22no—
492#95—1224no—
493#95—1224no—
494#95—1224no—
495#95—1222no—
496C24—611no—
497C24C2×C4×D6111yescharacteristic
498C24C23×D6111yescharacteristic
499#41—1228no—
500#41—1228no—
501#41—1228no—
502#41—1228no—
503C2×Q8—1222no—
504C2×Q8—1222no—
505C2×Q8—1222no—
506C2×D4—22no—
507C2×D4—22no—
508C2×D4—614no—
509C2×D4—1222no—
510C2×D4—1222no—
511C2×D4—1222no—
512C2×D4—1221no—
513C2×D4—1221no—
514C2×D4—1222no—
515C2×D4#1175822412yes—
516C2×D4#1175822612yes—
517C22×C4—21no—
518C22×C4—21no—
519C22×C4—24no—
520C22×C4—42no—
521C22×C4—42no—
522C22×C4—611no—
523C22×C4—611no—
524C22×C4—611no—
525C22×C4—611no—
526C22×C4—612no—
527C22×C4—612no—
528C22×C4—612no—
529C22×C4—611no—
530C22×C4—612no—
531C22×C4—611no—
532C22×C4—611no—
533C22×C4—1221no—
534C22×C4—1221no—
535C22×C4—1221no—
536C22×C4—1221no—
537C22×C4—1222no—
538C22×C4—1221no—
539C22×C4—1221no—
540C22×C4—1222no—
541C22×C4—1221no—
542C22×C4—1221no—
543C22×C4—1222no—
544C22×C4—1221no—
545C22×C4—1221no—
546C22×C4—1222no—
547C22×C4—1222no—
548C22×C4—1221no—
549C22×C4—1221no—
550C22×C4—1224no—
551C22×C4—2442no—
552C22×C4—2442no—
553C22×C4—2442no—
554C22×C4—2442no—
555C22×C4C2×C4×D6111yescharacteristic
556C22×C4C2×C4×D6111yescharacteristic
557C22×C4C2×C4×D6111yescharacteristic
558C22×C4C2×C4×D6111yescharacteristic
559C22×C4C2×C4×D6111yescharacteristic
560C22×C4D4×D6112yes—
561C22×C4D4×D6112yes—
562C4⋊C4—22no—
563C4⋊C4—44no—
564C4⋊C4—1222no—
565C4⋊C4—1222no—
566C4⋊C4—1222no—
567C4⋊C4—1222no—
568C4⋊C4—1222no—
569C4⋊C4—2444no—
570C22⋊C4—22no—
571C22⋊C4—22no—
572C22⋊C4—24no—
573C22⋊C4—24no—
574C22⋊C4—1222no—
575C22⋊C4—1222no—
576C22⋊C4—1222no—
577C22⋊C4—1222no—
578C22⋊C4—1224no—
579C22⋊C4—1224no—
580C42—21no—
581C42—21no—
582C42—611no—
583C42—611no—
584C42—611no—
585C42—611no—
586C42—612no—
587C42—612no—
588C42—612no—
589C42—612no—
590C42—612no—
591C42—612no—
592C42—1221no—
593C42—1221no—
594C42—1221no—
595C42—1221no—
596C42—1221no—
597C42—1221no—
598C42—1221no—
599C42—1221no—
600C42—1221no—
601C42—1221no—
602C42—2448no—
603C23—21no—
604C23—21no—
605C23—41no—
606C23—41no—
607C23—41no—
608C23—41no—
609C23—612no—
610C23—1221no—
611C23—1221no—
612C23—2441no—
613C23—2441no—
614C23#1451973512yes—
615C23C22×C4×D6111yescharacteristic
616C23C2×D4×D6112yes—
617C23#41×D6112yes—
618C23C2×#1175822411yescharacteristic
619C23C2×#1175822611yescharacteristic
620Q8—1228no—
621D4—24no—
622D4—24no—
623D4—1228no—
624D4—1224no—
625D4—1224no—
626C2×C4—21no—
627C2×C4—21no—
628C2×C4—24no—
629C2×C4—22no—
630C2×C4—21no—
631C2×C4—21no—
632C2×C4—41no—
633C2×C4—42no—
634C2×C4—42no—
635C2×C4—42no—
636C2×C4—41no—
637C2×C4—41no—
638C2×C4—44no—
639C2×C4—44no—
640C2×C4—44no—
641C2×C4—611no—
642C2×C4—611no—
643C2×C4—611no—
644C2×C4—611no—
645C2×C4—612no—
646C2×C4—612no—
647C2×C4—612no—
648C2×C4—1224no—
649C2×C4—1224no—
650C2×C4—1224no—
651C2×C4—1222no—
652C2×C4—1224no—
653C2×C4—1224no—
654C2×C4—1221no—
655C2×C4—1221no—
656C2×C4—1221no—
657C2×C4—1221no—
658C2×C4—1221no—
659C2×C4—1221no—
660C2×C4—1222no—
661C2×C4—1222no—
662C2×C4—1222no—
663C2×C4—1222no—
664C2×C4—1221no—
665C2×C4—1221no—
666C2×C4—2442no—
667C2×C4—2442no—
668C2×C4—2442no—
669C2×C4—2442no—
670C2×C4—2441no—
671C2×C4—2442no—
672C2×C4—2442no—
673C2×C4—2444no—
674C2×C4—2444no—
675C2×C4—2444no—
676C2×C4—2442no—
677C2×C4—2441no—
678C2×C4—2441no—
679C2×C4C22⋊C4×D6111yescharacteristic
680C2×C4C22⋊C4×D6112yes—
681C2×C4C22⋊C4×D6111yescharacteristic
682C2×C4#1451973512yes—
683C22—22no—
684C22—21no—
685C22—22no—
686C22—21no—
687C22—22no—
688C22—42no—
689C22—41no—
690C22—41no—
691C22—42no—
692C22—42no—
693C22—41no—
694C22—41no—
695C22—1222no—
696C22—2442no—
697C22—2442no—
698C22—2441no—
699C22—2441no—
700C22C2×C22⋊C4×D6111yescharacteristic
701C22#117×D6111yescharacteristic
702C22C2×#1451973511yescharacteristic
703C22#1684027212yes—
704C22#1684027512yes—
705C4—22no—
706C4—21no—
707C4—22no—
708C4—41no—
709C4—41no—
710C4—84no—
711C4—612no—
712C4—1221no—
713C4—1221no—
714C4—1222no—
715C4—1222no—
716C4—1222no—
717C4—1221no—
718C4—4884no—
719C4—2441no—
720C4—2441no—
721C4#1683973412yes—
722C2—22no—
723C2—22no—
724C2—21no—
725C2—21no—
726C2—42no—
727C2—2442no—
728C2#2144820111yescharacteristic
729C2#410×D6111yescharacteristic
730C2C2×#1683973411yescharacteristic
subgroupG/H
centerC22C2×C22⋊C4×D61
commutatorC23×C61C23×C4
FrattiniC24C23×D61
FittingC61×#1799C2
socleC22×C61C22×C22⋊C4
prime radicalC22×#11758224C22
cosocleC24×C61C24
hypercenter#1799D61
hypocenterC61#20723
LCSG ▷ C23×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C23×C4 ◁ #1799

Complements

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

NH ≅ G/Ntype
2. #21448214C2semidirect
3. #21445895C2semidirect
4. #21445807C2semidirect
5. #21445804C2semidirect
7. #99×Dic61C2semidirect
8. #21445606C2semidirect
9. C61×#1799C2semidirect
15. C2×C4×Dic122C4semidirect
16. C2×#14519742C4semidirect
18. C2×C4×C22⋊D61C4semidirect
20. C2×#14519737C4semidirect
22. C2×#14519735C4semidirect
23. C2×#14519733C4semidirect
25. C22×C4×Dic61C4semidirect
27. C2×C42×D61C4semidirect
362. #1799D61semidirect
408. C61#20723semidirect

Maximal subgroups

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

subgroupindex
C2×C4×#117582242
#214482142
#214458952
#214458072
#214458042
#214457352
#99×Dic612
#214456062
C61×#17992
#2072361