Finite Group Databasebeta

← #29586754

Subgroups — #29586754

Order 15616.

1370 conjugacy classes of subgroups.

The subgroup lattice has 764 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#14519802C211yesmaximal, characteristic
2C2×#16839779C211yesmaximal, characteristic, complemented
3C2×#16839768C211yesmaximal, characteristic, complemented
4C22×#14519693C211yesmaximal, characteristic, complemented
5C2×#16839534C211yesmaximal, characteristic, complemented
6C2×#16839520C211yesmaximal, characteristic, complemented
7C61×#2879C211yesmaximal, characteristic, complemented
8C23×D244C2211yescharacteristic
9C2×#14519802—22no—
10C2×#14519802—22no—
11C2×#14519802—22no—
12C2×#14519802—22no—
13C2×#14519802—22no—
14C2×#14519802—22no—
15C22×#11758201C412yescomplemented
16C22×#11758199C412yescomplemented
17C22×#11758194C2211yescharacteristic
18C22×#11758194C2211yescharacteristic
19C2×#14519736C2211yescharacteristic
20#16839779—22no—
21#16839779—22no—
22C2×#14519704—22no—
23#16839768—22no—
24#16839768—22no—
25C2×#14519699—22no—
26C2×#14519693—22no—
27C2×#14519693—22no—
28C2×#14519693—22no—
29#16839534—22no—
30#16839520—22no—
31C22×#41×C61C2211yescharacteristic
32C22×M16×C61C2211yescharacteristic
33C22×M16×C61C2211yescharacteristic
34C61×#408—22no—
35C61×#408—22no—
36C61×#407—22no—
37C24×D61—21no—
38C22×D244—21no—
39C22×D244—21no—
40C22×D244—21no—
41C22×D244—21no—
42C22×D244—21no—
43C22×D244—21no—
44C22×D244—21no—
45C22×D244—21no—
46C22×D244—21no—
47C22×D244—21no—
48C22×D244—21no—
49C22×D244C2×C412yes—
50C22×D244D412yes—
51C22×D244D412yes—
52#14519802—28no—
53#14519802—28no—
54#14519802—28no—
55#14519802—28no—
56C2×#11758201—24no—
57C2×#11758201—24no—
58C2×#11758201—24no—
59C2×#11758199—24no—
60C2×#11758199—24no—
61C2×#11758199—24no—
62C2×#11758194—21no—
63C2×#11758194—21no—
64C2×#11758194—21no—
65C2×#11758194—21no—
66C2×#11758194—21no—
67C2×#11758194—21no—
68C2×#11758194—21no—
69C2×#11758194—21no—
70C2×#11758194—21no—
71C2×#11758194D412yes—
72C2×#11758194D412yes—
73C2×#11758194D412yes—
74C22×#92418—21no—
75C22×#92418C2×C412yes—
76#14519736—21no—
77#14519736—21no—
78#14519736—21no—
79#14519736D412yes—
80C2×C4⋊Dic61—21no—
81C2×C22⋊Dic61—21no—
82C2×C4×Dic61—21no—
83#14519704—28no—
84#14519699—28no—
85#14519693—28no—
86C2×#41×C61—21no—
87C2×#41×C61—21no—
88C2×#41×C61—21no—
89C2×#41×C61—21no—
90C2×#41×C61—21no—
91C2×#41×C61—21no—
92C2×#41×C61—21no—
93C2×#41×C61—21no—
94C2×#41×C61—21no—
95C2×#41×C61—21no—
96C2×#41×C61D412yes—
97C2×#41×C61D412yes—
98C22×Q8×C61C2×C411yescharacteristic
99C22×D4×C61—21no—
100C22×D4×C61C2×C411yescharacteristic
101C23×C4×C61—21no—
102C23×C4×C61C2311yescharacteristic
103C2×M16×C61—21no—
104C2×M16×C61—21no—
105C2×M16×C61—21no—
106C2×M16×C61—21no—
107C2×M16×C61—21no—
108C2×M16×C61—21no—
109C2×M16×C61—21no—
110C2×M16×C61—21no—
111C2×M16×C61—21no—
112C2×M16×C61—21no—
113C2×M16×C61—21no—
114C2×M16×C61D412yes—
115C22×C8×C61—21no—
116C22×C8×C61D412yes—
117C22⋊C8×C61—28no—
118C24×C61—21no—
119C24×C61#4111yescharacteristic
120C23×D61—22no—
121C23×D61—22no—
122C23×D61—22no—
123C23×D61—41no—
124C23×D61—41no—
125C23×D61—41no—
126C23×D61—41no—
127C23×D61—84no—
128#41×C61—22no—
129#41×C61—22no—
130#41×C61—22no—
131#41×C61—22no—
132#41×C61—22no—
133#41×C61—22no—
134#41×C61—22no—
135#41×C61—22no—
136#41×C61—41no—
137#41×C61—41no—
138#41×C61—41no—
139#41×C61—41no—
140#41×C61—41no—
141#41×C61—41no—
142#41×C61—41no—
143#41×C61—41no—
144C2×Q8×C61—21no—
145C2×Q8×C61—21no—
146C2×Q8×C61—21no—
147C2×Q8×C61—21no—
148C2×Q8×C61—21no—
149C2×Q8×C61C22⋊C412yes—
150C2×D4×C61—22no—
151C2×D4×C61—22no—
152C2×D4×C61—21no—
153C2×D4×C61—21no—
154C2×D4×C61—21no—
155C2×D4×C61—21no—
156C2×D4×C61—21no—
157C2×D4×C61—41no—
158C2×D4×C61—41no—
159C2×D4×C61—41no—
160C2×D4×C61—41no—
161C2×D4×C61C22⋊C412yes—
162C22×C4×C61—21no—
163C22×C4×C61—22no—
164C22×C4×C61—22no—
165C22×C4×C61—41no—
166C22×C4×C61—41no—
167C22×C4×C61—41no—
168C22×C4×C61—41no—
169C22×C4×C61C22×C411yescharacteristic
170C22×C4×C61C2×D411yescharacteristic
171C22×C4×C61C2×D411yescharacteristic
172C22×C4×C61C2×D411yescharacteristic
173C22×C4×C61C2×D411yescharacteristic
174C22×C4×C61C2×D411yescharacteristic
175C22×C4×C61C2×D411yescharacteristic
176C22×C4×C61C2×D411yescharacteristic
177C22×C4×C61C2×D411yescharacteristic
178C22×C4×C61C2×D411yescharacteristic
179C22×C4×C61C2×D411yescharacteristic
180C22×C4×C61#4111yescharacteristic
181C22×C4×C61#4111yescharacteristic
182C22×C4×C61#4111yescharacteristic
183C22×Dic61—41no—
184C2×D244—22no—
185C2×D244—22no—
186C2×D244—22no—
187C2×D244—22no—
188C2×D244—22no—
189C2×D244—22no—
190C2×D244—22no—
191C2×D244—22no—
192C2×D244—22no—
193C2×D244—22no—
194C2×D244—22no—
195C2×D244—22no—
196C2×D244—22no—
197C2×D244—22no—
198C2×D244—22no—
199C2×D244—41no—
200C2×D244—41no—
201C2×D244—41no—
202C2×D244—41no—
203C2×D244—41no—
204C2×D244—41no—
205C2×D244—41no—
206C2×D244—41no—
207C2×D244—41no—
208C2×D244—41no—
209C2×D244—41no—
210C2×D244—41no—
211C2×D244C22⋊C414yes—
212M16×C61—22no—
213M16×C61—22no—
214M16×C61—41no—
215M16×C61—41no—
216M16×C61—41no—
217M16×C61—41no—
218M16×C61—41no—
219M16×C61—41no—
220C2×C8×C61—22no—
221C2×C8×C61—22no—
222C2×C8×C61—22no—
223C2×C8×C61—22no—
224C2×C8×C61—41no—
225C2×C8×C61—41no—
226C22⋊Dic61—22no—
227C22⋊Dic61—41no—
228#11758201—216no—
229#11758199—216no—
230C4⋊Dic61—22no—
231C4⋊Dic61—41no—
232C4×Dic61—22no—
233C4×Dic61—41no—
234#11758194—22no—
235#11758194—22no—
236#11758194—22no—
237#11758194—22no—
238#11758194—22no—
239#11758194—22no—
240#11758194—41no—
241#11758194—41no—
242C2×#92418—22no—
243C2×#92418—22no—
244C2×#92418—22no—
245C2×#92418—41no—
246C2×#92418—41no—
247C2×#92418C22⋊C414yes—
248C23×C61—22no—
249C23×C61—42no—
250C23×C61—41no—
251C23×C61—41no—
252C23×C61—82no—
253C23×C61C4×D411yescharacteristic
254C23×C61#12111yescharacteristic
255C23×C61#12111yescharacteristic
256C23×C61#12111yescharacteristic
257C23×C61#12311yescharacteristic
258C23×C61#12311yescharacteristic
259C23×C61#12411yescharacteristic
260C22×D61—24no—
261C22×D61—42no—
262C22×D61—42no—
263C22×D61—42no—
264C22×D61—42no—
265C22×D61—42no—
266C22×D61—42no—
267C22×D61—84no—
268C22×D61—84no—
269C22×D61—84no—
270C22×D61—84no—
271C22×D61—84no—
272C22×D61—84no—
273C22×D61—84no—
274Q8×C61—22no—
275Q8×C61—22no—
276Q8×C61—41no—
277Q8×C61—41no—
278D4×C61—22no—
279D4×C61—22no—
280D4×C61—42no—
281D4×C61—42no—
282D4×C61—42no—
283D4×C61—42no—
284D4×C61—41no—
285D4×C61—41no—
286C2×C4×C61—22no—
287C2×C4×C61—41no—
288C2×C4×C61—41no—
289C2×C4×C61—42no—
290C2×C4×C61—42no—
291C2×C4×C61—42no—
292C2×C4×C61—42no—
293C2×C4×C61C2×C22⋊C411yescharacteristic
294C2×C4×C61C2×C22⋊C411yescharacteristic
295C2×C4×C61C2×C22⋊C411yescharacteristic
296C2×C4×C61C4×D411yescharacteristic
297C2×C4×C61C4×D411yescharacteristic
298C2×C4×C61C4×D411yescharacteristic
299C2×C4×C61#12011yescharacteristic
300C2×C4×C61#12011yescharacteristic
301C2×C4×C61#12011yescharacteristic
302C2×C4×C61#12011yescharacteristic
303C2×C4×C61#12011yescharacteristic
304C2×C4×C61#12011yescharacteristic
305C2×C4×C61#12011yescharacteristic
306C2×C4×C61#12011yescharacteristic
307C2×C4×C61#12111yescharacteristic
308C2×C4×C61#12111yescharacteristic
309C2×C4×C61#12111yescharacteristic
310C2×C4×C61#12111yescharacteristic
311C2×C4×C61#12111yescharacteristic
312C2×C4×C61#12111yescharacteristic
313C2×C4×C61#12111yescharacteristic
314C2×C4×C61#12111yescharacteristic
315C2×C4×C61#12111yescharacteristic
316C2×C4×C61#12311yescharacteristic
317C2×C4×C61#12311yescharacteristic
318C2×C4×C61#12411yescharacteristic
319C2×C4×C61#12711yescharacteristic
320C2×C4×C61#12711yescharacteristic
321C2×Dic61—42no—
322C2×Dic61—82no—
323D244—24no—
324D244—24no—
325D244—42no—
326D244—42no—
327D244—42no—
328D244—42no—
329D244—42no—
330D244—42no—
331C8×C61—42no—
332C8×C61—42no—
333#92418—24no—
334#92418—42no—
335#11014—611nomaximal, Sylow
336C22×C61—22no—
337C22×C61—22no—
338C22×C61—22no—
339C22×C61—41no—
340C22×C61—41no—
341C22×C61—41no—
342C22×C61—41no—
343C22×C61—44no—
344C22×C61—42no—
345C22×C61—82no—
346C22×C61—82no—
347C22×C61#38611yescharacteristic
348C22×C61#38611yescharacteristic
349C22×C61#39011yescharacteristic
350C22×C61#39211yescharacteristic
351C22×C61#39411yescharacteristic
352C22×C61#39411yescharacteristic
353C22×C61#39411yescharacteristic
354C2×D61—44no—
355C2×D61—84no—
356C2×D61—84no—
357C2×D61—84no—
358C2×D61—84no—
359C2×D61—84no—
360C2×D61—84no—
361C2×D61—84no—
362C4×C61—42no—
363C4×C61#37911yescharacteristic
364C4×C61#38611yescharacteristic
365C4×C61#38611yescharacteristic
366C4×C61#39011yescharacteristic
367C4×C61#39211yescharacteristic
368C4×C61#39211yescharacteristic
369C4×C61#39211yescharacteristic
370C4×C61#39411yescharacteristic
371Dic61—82no—
372C22×AGL(1,ℤ/8)—611no—
373C2×#421—611no—
374C2×#418—611no—
375C22×#100—611no—
376#2879D6111yescharacteristic, complemented
377C2×#344—611no—
378C2×#338—611no—
379C2×C61—21no—
380C2×C61—21no—
381C2×C61—21no—
382C2×C61—21no—
383C2×C61—21no—
384C2×C61—21no—
385C2×C61—82no—
386C2×C61#143811yescharacteristic
387C2×C61#190312yes—
388D61—84no—
389C22×#41C2×D6111yescharacteristic
390C23×D4—611no—
391C2×AGL(1,ℤ/8)—1222no—
392C2×AGL(1,ℤ/8)—1222no—
393C2×AGL(1,ℤ/8)—1222no—
394C2×AGL(1,ℤ/8)—1222no—
395C2×AGL(1,ℤ/8)—1222no—
396C2×AGL(1,ℤ/8)—1222no—
397C22×SD16—612no—
398C22×D8—612no—
399C22×M16—611no—
400C22×M16—611no—
401C22×M16C2×D6111yescharacteristic
402C22×M16C2×D6111yescharacteristic
403C2×#117—611no—
404#421—1222no—
405#421—1222no—
406C2×#104—1222no—
407#418—1222no—
408#418—1222no—
409C2×#102—1222no—
410C2×#100—1222no—
411C2×#100—1222no—
412C2×#100—1222no—
413#408—22no—
414#408—22no—
415#407—22no—
416#344—1222no—
417#338—1222no—
418C61#1101411yescharacteristic, complemented, Sylow
419C25—1221no—
420C2×#41—21no—
421C2×#41—21no—
422C2×#41—21no—
423C2×#41—21no—
424C2×#41—21no—
425C2×#41—21no—
426C2×#41—21no—
427C2×#41—21no—
428C2×#41—21no—
429C2×#41—21no—
430C2×#41D24412yes—
431C2×#41C22⋊D6112yes—
432C22×Q8C4×D6111yescharacteristic
433C22×D4—21no—
434C22×D4—612no—
435C22×D4—612no—
436C22×D4—612no—
437C22×D4—1221no—
438C22×D4—1221no—
439C22×D4—1221no—
440C22×D4—1221no—
441C22×D4—1221no—
442C22×D4—1221no—
443C22×D4—1221no—
444C22×D4—1221no—
445C22×D4—1221no—
446C22×D4—1221no—
447C22×D4—1221no—
448C22×D4C4×D6111yescharacteristic
449C23×C4—21no—
450C23×C4C22×D6111yescharacteristic
451AGL(1,ℤ/8)—1228no—
452AGL(1,ℤ/8)—1228no—
453AGL(1,ℤ/8)—1228no—
454AGL(1,ℤ/8)—1228no—
455C2×SD16—1224no—
456C2×SD16—1224no—
457C2×SD16—1224no—
458C2×D8—1224no—
459C2×D8—1224no—
460C2×D8—1224no—
461C2×M16—21no—
462C2×M16—21no—
463C2×M16—21no—
464C2×M16—21no—
465C2×M16—21no—
466C2×M16—21no—
467C2×M16—21no—
468C2×M16—21no—
469C2×M16—21no—
470C2×M16—21no—
471C2×M16—21no—
472C2×M16—612no—
473C2×M16—612no—
474C2×M16—612no—
475C2×M16—1221no—
476C2×M16—1221no—
477C2×M16—1221no—
478C2×M16—1221no—
479C2×M16—1221no—
480C2×M16—1221no—
481C2×M16—1221no—
482C2×M16—1221no—
483C2×M16—1221no—
484C2×M16C22⋊D6112yes—
485C22×C8—21no—
486C22×C8—612no—
487C22×C8—1221no—
488C22×C8C22⋊D6112yes—
489#117—612no—
490#117—1221no—
491#117—1221no—
492#117—1221no—
493C2×C4⋊C4—1221no—
494C2×C22⋊C4—1221no—
495C2×C42—1221no—
496#104—1228no—
497#102—1228no—
498#100—1228no—
499C22⋊C8—28no—
500C24—21no—
501C24—1222no—
502C24—1222no—
503C24—1222no—
504C24—4884no—
505C24—2441no—
506C24—2441no—
507C24—2441no—
508C24—2441no—
509C24#1175822211yescharacteristic
510#41—22no—
511#41—22no—
512#41—22no—
513#41—22no—
514#41—22no—
515#41—22no—
516#41—22no—
517#41—22no—
518#41—41no—
519#41—41no—
520#41—41no—
521#41—41no—
522#41—41no—
523#41—41no—
524#41—41no—
525#41—41no—
526C2×Q8—21no—
527C2×Q8—21no—
528C2×Q8—21no—
529C2×Q8—21no—
530C2×Q8—21no—
531C2×Q8#1175819812yes—
532C2×D4—22no—
533C2×D4—22no—
534C2×D4—21no—
535C2×D4—21no—
536C2×D4—21no—
537C2×D4—21no—
538C2×D4—21no—
539C2×D4—41no—
540C2×D4—41no—
541C2×D4—41no—
542C2×D4—41no—
543C2×D4—614no—
544C2×D4—1222no—
545C2×D4—1222no—
546C2×D4—1222no—
547C2×D4—1222no—
548C2×D4—1222no—
549C2×D4—1222no—
550C2×D4—1222no—
551C2×D4—1222no—
552C2×D4—1222no—
553C2×D4—1222no—
554C2×D4—1222no—
555C2×D4—1222no—
556C2×D4—1222no—
557C2×D4—1222no—
558C2×D4—1222no—
559C2×D4—2441no—
560C2×D4—2441no—
561C2×D4—2441no—
562C2×D4—2441no—
563C2×D4—2441no—
564C2×D4—2441no—
565C2×D4—2441no—
566C2×D4—2441no—
567C2×D4—2441no—
568C2×D4—2441no—
569C2×D4—2441no—
570C2×D4—2441no—
571C2×D4#1175819812yes—
572C22×C4—21no—
573C22×C4—22no—
574C22×C4—22no—
575C22×C4—41no—
576C22×C4—41no—
577C22×C4—41no—
578C22×C4—41no—
579C22×C4—2441no—
580C22×C4C2×C4×D6111yescharacteristic
581C22×C4C2×D24411yescharacteristic
582C22×C4#1175822211yescharacteristic
583C22×C4D4×D6111yescharacteristic
584C22×C4D4×D6111yescharacteristic
585C22×C4D4×D6111yescharacteristic
586C22×C4D4×D6111yescharacteristic
587C22×C4D4×D6111yescharacteristic
588C22×C4D4×D6111yescharacteristic
589C22×C4#1175822411yescharacteristic
590C22×C4#1175822411yescharacteristic
591C22×C4C2×C22⋊D6111yescharacteristic
592C22×C4C2×C22⋊D6111yescharacteristic
593C22×C4C2×C22⋊D6111yescharacteristic
594SD16—12216no—
595D8—12216no—
596M16—22no—
597M16—22no—
598M16—41no—
599M16—41no—
600M16—41no—
601M16—41no—
602M16—41no—
603M16—41no—
604M16—1222no—
605M16—1222no—
606M16—1222no—
607M16—1222no—
608M16—1222no—
609M16—1222no—
610M16—2441no—
611M16—2441no—
612C2×C8—22no—
613C2×C8—22no—
614C2×C8—22no—
615C2×C8—22no—
616C2×C8—41no—
617C2×C8—41no—
618C2×C8—614no—
619C2×C8—1222no—
620C2×C8—1222no—
621C2×C8—1222no—
622C2×C8—2441no—
623C2×C8—2441no—
624C4⋊C4—1222no—
625C4⋊C4—2441no—
626C22⋊C4—1222no—
627C22⋊C4—2441no—
628C42—1222no—
629C42—2441no—
630C23—22no—
631C23—42no—
632C23—41no—
633C23—41no—
634C23—82no—
635C23—1224no—
636C23—4884no—
637C23—4884no—
638C23—4884no—
639C23—4884no—
640C23—4884no—
641C23—4884no—
642C23—4884no—
643C23—2442no—
644C23—2442no—
645C23—2442no—
646C23—2442no—
647C23—2442no—
648C23—2442no—
649C23C4×C22⋊D6111yescharacteristic
650C23#1451975011yescharacteristic
651C23#1451975011yescharacteristic
652C23#1451975111yescharacteristic
653C23#1451975911yescharacteristic
654C23#1451976011yescharacteristic
655C23#1451976311yescharacteristic
656Q8—22no—
657Q8—22no—
658Q8—41no—
659Q8—41no—
660D4—22no—
661D4—22no—
662D4—42no—
663D4—42no—
664D4—42no—
665D4—42no—
666D4—41no—
667D4—41no—
668D4—1224no—
669D4—1224no—
670D4—2442no—
671D4—2442no—
672D4—2442no—
673D4—2442no—
674D4—2442no—
675D4—2442no—
676C2×C4—22no—
677C2×C4—41no—
678C2×C4—41no—
679C2×C4—42no—
680C2×C4—42no—
681C2×C4—42no—
682C2×C4—42no—
683C2×C4—4882no—
684C2×C4—2442no—
685C2×C4C22⋊C4×D6111yescharacteristic
686C2×C4C22⋊C4×D6111yescharacteristic
687C2×C4C2×#1175819811yescharacteristic
688C2×C4#1451973711yescharacteristic
689C2×C4#1451973711yescharacteristic
690C2×C4C4×C22⋊D6111yescharacteristic
691C2×C4#1451974511yescharacteristic
692C2×C4#1451974511yescharacteristic
693C2×C4#1451974511yescharacteristic
694C2×C4#1451974511yescharacteristic
695C2×C4#1451974611yescharacteristic
696C2×C4#1451974711yescharacteristic
697C2×C4#1451974711yescharacteristic
698C2×C4#1451974711yescharacteristic
699C2×C4#1451974811yescharacteristic
700C2×C4#1451974811yescharacteristic
701C2×C4#1451974911yescharacteristic
702C2×C4#1451974911yescharacteristic
703C2×C4#1451974911yescharacteristic
704C2×C4#1451974911yescharacteristic
705C2×C4#1451975011yescharacteristic
706C2×C4#1451975011yescharacteristic
707C2×C4#1451975111yescharacteristic
708C2×C4#1451975911yescharacteristic
709C2×C4#1451976111yescharacteristic
710C2×C4#1451976311yescharacteristic
711C2×C4#1451977311yescharacteristic
712C2×C4#1451977311yescharacteristic
713C8—42no—
714C8—42no—
715C8—1224no—
716C8—2442no—
717C22—22no—
718C22—22no—
719C22—22no—
720C22—41no—
721C22—41no—
722C22—41no—
723C22—41no—
724C22—44no—
725C22—42no—
726C22—82no—
727C22—82no—
728C22—4884no—
729C22—4884no—
730C22—4884no—
731C22—4884no—
732C22—4884no—
733C22—4884no—
734C22—4884no—
735C22—2444no—
736C22#1683963811yescharacteristic
737C22#1683964111yescharacteristic
738C22#1683966211yescharacteristic
739C22#1683967111yescharacteristic
740C22#1683967711yescharacteristic
741C22#1683967711yescharacteristic
742C22#1683967811yescharacteristic
743C4—42no—
744C4—4882no—
745C4#1683961711yescharacteristic
746C4#1683963811yescharacteristic
747C4#1683963911yescharacteristic
748C4#1683966211yescharacteristic
749C4#1683967011yescharacteristic
750C4#1683967011yescharacteristic
751C4#1683967111yescharacteristic
752C4#1683967811yescharacteristic
753C2—21no—
754C2—21no—
755C2—21no—
756C2—21no—
757C2—21no—
758C2—21no—
759C2—82no—
760C2—4884no—
761C2#2144405811yescharacteristic
762C2#2144629912yes—
subgroupG/H
centerC22#16839641
commutatorC22×C4×C61C22×C4
FrattiniC23×C4C22×D61
FittingC61×#2879C2
socleC22×C61#386
prime radicalC22×#14519802C2
cosocleC23×C4×C61C23
hypercenter#2879D61
hypocenterC61#11014
LCSG ▷ C22×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C23×C4 ◁ #2879

Complements

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

NH ≅ G/Ntype
2. C2×#16839779C2semidirect
3. C2×#16839768C2semidirect
4. C22×#14519693C2semidirect
5. C2×#16839534C2semidirect
6. C2×#16839520C2semidirect
7. C61×#2879C2semidirect
15. C22×#11758201C4semidirect
16. C22×#11758199C4semidirect
376. #2879D61semidirect
418. C61#11014semidirect

Maximal subgroups

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

subgroupindex
C22×#145198022
C2×#168397792
C2×#168397682
C22×#145196932
C2×#168395342
C2×#168395202
C61×#28792
#1101461