Finite Group Databasebeta

← #29586757

Subgroups — #29586757

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×#14519803C211yesmaximal, characteristic
2C2×#16839780C211yesmaximal, characteristic, complemented
3C22×#14519694C211yesmaximal, characteristic, complemented
4#21454263C211yesmaximal, characteristic, complemented
5C2×#16839532C211yesmaximal, characteristic, complemented
6C2×#16839520C211yesmaximal, characteristic, complemented
7C2×C61×#418C211yesmaximal, characteristic, complemented
8C22×#11758222C2211yescharacteristic
9C2×#14519803—22no—
10C2×#14519803—22no—
11C2×#14519803—22no—
12C2×#14519803—22no—
13C2×#14519803—22no—
14C2×#14519803—22no—
15C22×#11758200C412yescomplemented
16C22×#11758199C412yescomplemented
17C22×#11758194C2211yescharacteristic
18C22×#11758194C2211yescharacteristic
19C22×#11758194C2211yescharacteristic
20#16839780—22no—
21#16839780—22no—
22C2×#14519705—22no—
23C2×#14519694—22no—
24C2×#14519694—22no—
25C2×#14519694—22no—
26#16839730—22no—
27#16839728—22no—
28#16839725—22no—
29#16839532—22no—
30#16839520—22no—
31C23×D4×C61C2211yescharacteristic
32C22×M16×C61C2211yescharacteristic
33C2×#117×C61C2211yescharacteristic
34C61×#418—22no—
35C61×#418—22no—
36C2×#102×C61—22no—
37C2×#11758222—21no—
38C2×#11758222—21no—
39C2×#11758222—21no—
40C2×#11758222—21no—
41C2×#11758222—21no—
42C2×#11758222—21no—
43C2×#11758222—21no—
44C2×#11758222—21no—
45C2×#11758222—21no—
46C2×#11758222—21no—
47C2×#11758222D412yes—
48C2×#11758222D412yes—
49C22×Dic122C2×C411yescharacteristic
50C22×D244C2×C411yescharacteristic
51C22×C22⋊D61—21no—
52C22×C4×D61—21no—
53#14519803—28no—
54#14519803—28no—
55#14519803—28no—
56#14519803—28no—
57C2×#11758200—24no—
58C2×#11758200—24no—
59C2×#11758200—24no—
60C2×#11758199—24no—
61C2×#11758199—24no—
62C2×#11758199—24no—
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×#11758194—21no—
72C2×#11758194—21no—
73C2×#11758194—21no—
74C2×#11758194—21no—
75C2×#11758194—21no—
76C2×#11758194—21no—
77C2×#11758194D412yes—
78C2×#11758194D412yes—
79C2×#11758194D412yes—
80C2×#11758194D412yes—
81C22×#92418—21no—
82C22×#92418—21no—
83C22×#92418C2×C412yes—
84#14519705—28no—
85#14519694—28no—
86#14519689—28no—
87C25×C61—21no—
88C22×D4×C61—21no—
89C22×D4×C61—21no—
90C22×D4×C61—21no—
91C22×D4×C61—21no—
92C22×D4×C61—21no—
93C22×D4×C61—21no—
94C22×D4×C61—21no—
95C22×D4×C61—21no—
96C22×D4×C61—21no—
97C22×D4×C61—21no—
98C22×D4×C61—21no—
99C22×D4×C61C2×C412yes—
100C22×D4×C61D412yes—
101C22×D4×C61D412yes—
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—
109C22×C8×C61D412yes—
110#117×C61—21no—
111#117×C61—21no—
112#117×C61—21no—
113#117×C61D412yes—
114C2×C4⋊C4×C61—21no—
115C2×C22⋊C4×C61—21no—
116C2×C42×C61—21no—
117#102×C61—28no—
118C24×C61—22no—
119C24×C61—22no—
120C24×C61—22no—
121C24×C61—41no—
122C24×C61—41no—
123C24×C61—41no—
124C24×C61—41no—
125C24×C61—84no—
126C24×C61#4111yescharacteristic
127C23×D61—21no—
128C2×D4×C61—22no—
129C2×D4×C61—22no—
130C2×D4×C61—22no—
131C2×D4×C61—22no—
132C2×D4×C61—22no—
133C2×D4×C61—22no—
134C2×D4×C61—22no—
135C2×D4×C61—22no—
136C2×D4×C61—22no—
137C2×D4×C61—22no—
138C2×D4×C61—22no—
139C2×D4×C61—22no—
140C2×D4×C61—22no—
141C2×D4×C61—22no—
142C2×D4×C61—22no—
143C2×D4×C61—41no—
144C2×D4×C61—41no—
145C2×D4×C61—41no—
146C2×D4×C61—41no—
147C2×D4×C61—41no—
148C2×D4×C61—41no—
149C2×D4×C61—41no—
150C2×D4×C61—41no—
151C2×D4×C61—41no—
152C2×D4×C61—41no—
153C2×D4×C61—41no—
154C2×D4×C61—41no—
155C2×D4×C61C22⋊C414yes—
156C22×C4×C61—41no—
157C22×C4×C61C22×C411yescharacteristic
158C22×C4×C61C2×D411yescharacteristic
159C22×C4×C61C2×D411yescharacteristic
160C22×C4×C61C2×D411yescharacteristic
161C22×C4×C61C2×D411yescharacteristic
162C22×C4×C61C2×D411yescharacteristic
163C22×C4×C61C2×D411yescharacteristic
164C22×C4×C61C2×D411yescharacteristic
165C22×C4×C61C2×D411yescharacteristic
166C22×C4×C61C2×D411yescharacteristic
167C22×C4×C61C2×D411yescharacteristic
168C22×C4×C61#4111yescharacteristic
169C22×C4×C61#4111yescharacteristic
170C22×C4×C61#4111yescharacteristic
171C2×C22⋊D61—22no—
172C2×C22⋊D61—22no—
173C2×C22⋊D61—41no—
174C2×C22⋊D61—41no—
175C2×C22⋊D61—41no—
176C2×C22⋊D61—41no—
177C22×Dic61—21no—
178#11758222—22no—
179#11758222—22no—
180#11758222—22no—
181#11758222—22no—
182#11758222—22no—
183#11758222—22no—
184#11758222—22no—
185#11758222—22no—
186#11758222—41no—
187#11758222—41no—
188#11758222—41no—
189#11758222—41no—
190#11758222—41no—
191#11758222—41no—
192#11758222—41no—
193#11758222—41no—
194C2×D244—21no—
195C2×D244—21no—
196C2×D244—21no—
197C2×D244—21no—
198C2×D244—21no—
199C2×D244C22⋊C412yes—
200C2×C4×D61—22no—
201C2×C4×D61—22no—
202C2×C4×D61—41no—
203C2×C4×D61—41no—
204C2×C4×D61—41no—
205C2×C4×D61—41no—
206C2×Dic122—21no—
207C2×Dic122—21no—
208C2×Dic122—21no—
209C2×Dic122—21no—
210C2×Dic122—21no—
211C2×Dic122C22⋊C412yes—
212M16×C61—41no—
213M16×C61—41no—
214M16×C61—41no—
215M16×C61—41no—
216C2×C8×C61—22no—
217C2×C8×C61—22no—
218C2×C8×C61—22no—
219C4⋊C4×C61—22no—
220C4⋊C4×C61—41no—
221C22⋊C4×C61—22no—
222C22⋊C4×C61—41no—
223C42×C61—22no—
224C42×C61—41no—
225#11758200—216no—
226#11758199—216no—
227#11758194—22no—
228#11758194—22no—
229#11758194—22no—
230#11758194—22no—
231#11758194—22no—
232#11758194—22no—
233#11758194—22no—
234#11758194—22no—
235#11758194—41no—
236#11758194—41no—
237#11758194—41no—
238#11758194—41no—
239C2×#92418—22no—
240C2×#92418—22no—
241C2×#92418—22no—
242C2×#92418—22no—
243C2×#92418—41no—
244C2×#92418—41no—
245C2×#92418—41no—
246C2×#92418—41no—
247C2×#92418C22⋊C414yes—
248C23×C61—24no—
249C23×C61—42no—
250C23×C61—42no—
251C23×C61—42no—
252C23×C61—42no—
253C23×C61—42no—
254C23×C61—42no—
255C23×C61—42no—
256C23×C61—84no—
257C23×C61—84no—
258C23×C61—84no—
259C23×C61—84no—
260C23×C61—84no—
261C23×C61—84no—
262C23×C61—84no—
263C23×C61C4×D411yescharacteristic
264C23×C61#12111yescharacteristic
265C23×C61#12111yescharacteristic
266C23×C61#12111yescharacteristic
267C23×C61#12311yescharacteristic
268C23×C61#12311yescharacteristic
269C23×C61#12411yescharacteristic
270C22×D61—22no—
271C22×D61—41no—
272C22×D61—41no—
273C22×D61—82no—
274D4×C61—24no—
275D4×C61—24no—
276D4×C61—42no—
277D4×C61—42no—
278D4×C61—42no—
279D4×C61—42no—
280D4×C61—42no—
281D4×C61—42no—
282C2×C4×C61—42no—
283C2×C4×C61—82no—
284C2×C4×C61C2×C22⋊C411yescharacteristic
285C2×C4×C61C2×C22⋊C411yescharacteristic
286C2×C4×C61C2×C22⋊C411yescharacteristic
287C2×C4×C61C4×D411yescharacteristic
288C2×C4×C61C4×D411yescharacteristic
289C2×C4×C61C4×D411yescharacteristic
290C2×C4×C61#12011yescharacteristic
291C2×C4×C61#12011yescharacteristic
292C2×C4×C61#12011yescharacteristic
293C2×C4×C61#12011yescharacteristic
294C2×C4×C61#12011yescharacteristic
295C2×C4×C61#12011yescharacteristic
296C2×C4×C61#12011yescharacteristic
297C2×C4×C61#12011yescharacteristic
298C2×C4×C61#12111yescharacteristic
299C2×C4×C61#12111yescharacteristic
300C2×C4×C61#12111yescharacteristic
301C2×C4×C61#12111yescharacteristic
302C2×C4×C61#12111yescharacteristic
303C2×C4×C61#12111yescharacteristic
304C2×C4×C61#12111yescharacteristic
305C2×C4×C61#12111yescharacteristic
306C2×C4×C61#12111yescharacteristic
307C2×C4×C61#12311yescharacteristic
308C2×C4×C61#12311yescharacteristic
309C2×C4×C61#12411yescharacteristic
310C2×C4×C61#12711yescharacteristic
311C2×C4×C61#12711yescharacteristic
312C22⋊D61—42no—
313C22⋊D61—42no—
314C22⋊D61—42no—
315C22⋊D61—42no—
316C2×Dic61—22no—
317C2×Dic61—41no—
318C2×Dic61—41no—
319D244—22no—
320D244—22no—
321D244—41no—
322D244—41no—
323C4×D61—42no—
324C4×D61—42no—
325C4×D61—42no—
326C4×D61—42no—
327Dic122—22no—
328Dic122—22no—
329Dic122—41no—
330Dic122—41no—
331C8×C61—42no—
332#92418—24no—
333#92418—42no—
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—84no—
345C22×C61—84no—
346C22×C61—84no—
347C22×C61—84no—
348C22×C61—84no—
349C22×C61—84no—
350C22×C61—84no—
351C22×C61#38611yescharacteristic
352C22×C61#38611yescharacteristic
353C22×C61#39011yescharacteristic
354C22×C61#39211yescharacteristic
355C22×C61#39411yescharacteristic
356C22×C61#39411yescharacteristic
357C22×C61#39411yescharacteristic
358C2×D61—44no—
359C2×D61—42no—
360C2×D61—82no—
361C2×D61—82no—
362C4×C61—82no—
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—42no—
372C22×AGL(1,ℤ/8)—611no—
373C2×#421—611no—
374C2×#418D6111yescharacteristic, complemented
375C22×#100—611no—
376#2879—611no—
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—84no—
386C2×C61#143811yescharacteristic
387C2×C61#190312yes—
388D61—82no—
389C22×#41—611no—
390C23×D4C2×D6111yescharacteristic
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×M16—611no—
402C22×M16C2×D6111yescharacteristic
403C2×#117C2×D6111yescharacteristic
404#421—1222no—
405#421—1222no—
406C2×#104—1222no—
407#418—22no—
408#418—22no—
409C2×#102—22no—
410C2×#100—1222no—
411C2×#100—1222no—
412C2×#100—1222no—
413#408—1222no—
414#408—1222no—
415#407—1222no—
416#344—1222no—
417#338—1222no—
418C61#1101411yescharacteristic, complemented, Sylow
419C25—21no—
420C2×#41—612no—
421C2×#41—612no—
422C2×#41—1221no—
423C2×#41—1221no—
424C2×#41—1221no—
425C2×#41—1221no—
426C2×#41—1221no—
427C2×#41—1221no—
428C2×#41—1221no—
429C2×#41—1221no—
430C2×#41—1221no—
431C2×#41—1221no—
432C22×Q8—611no—
433C22×D4—21no—
434C22×D4—21no—
435C22×D4—21no—
436C22×D4—21no—
437C22×D4—21no—
438C22×D4—21no—
439C22×D4—21no—
440C22×D4—21no—
441C22×D4—21no—
442C22×D4—21no—
443C22×D4—21no—
444C22×D4—611no—
445C22×D4—1221no—
446C22×D4C4×D6112yes—
447C22×D4D24412yes—
448C22×D4C22⋊D6112yes—
449C23×C4—1221no—
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—612no—
468C2×M16—612no—
469C2×M16—612no—
470C2×M16—612no—
471C2×M16—1221no—
472C2×M16—1221no—
473C2×M16—1221no—
474C2×M16—1221no—
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×M16—1221no—
485C22×C8—612no—
486C22×C8—1221no—
487C22×C8—1221no—
488C22×C8C22⋊D6112yes—
489#117—21no—
490#117—21no—
491#117—21no—
492#117C22⋊D6112yes—
493C2×C4⋊C4—21no—
494C2×C22⋊C4—21no—
495C2×C42—21no—
496#104—1228no—
497#102—28no—
498#100—1228no—
499C22⋊C8—1228no—
500C24—22no—
501C24—22no—
502C24—22no—
503C24—41no—
504C24—41no—
505C24—41no—
506C24—41no—
507C24—84no—
508C24—1221no—
509C24#1175822411yescharacteristic
510#41—1222no—
511#41—1222no—
512#41—1222no—
513#41—1222no—
514#41—1222no—
515#41—1222no—
516#41—1222no—
517#41—1222no—
518#41—2441no—
519#41—2441no—
520#41—2441no—
521#41—2441no—
522#41—2441no—
523#41—2441no—
524#41—2441no—
525#41—2441no—
526C2×Q8—612no—
527C2×Q8—1221no—
528C2×Q8—1221no—
529C2×Q8—1221no—
530C2×Q8—1221no—
531C2×Q8—1221no—
532C2×D4—22no—
533C2×D4—22no—
534C2×D4—22no—
535C2×D4—22no—
536C2×D4—22no—
537C2×D4—22no—
538C2×D4—22no—
539C2×D4—22no—
540C2×D4—22no—
541C2×D4—22no—
542C2×D4—22no—
543C2×D4—22no—
544C2×D4—22no—
545C2×D4—22no—
546C2×D4—22no—
547C2×D4—41no—
548C2×D4—41no—
549C2×D4—41no—
550C2×D4—41no—
551C2×D4—41no—
552C2×D4—41no—
553C2×D4—41no—
554C2×D4—41no—
555C2×D4—41no—
556C2×D4—41no—
557C2×D4—41no—
558C2×D4—41no—
559C2×D4—612no—
560C2×D4—1222no—
561C2×D4—1222no—
562C2×D4—1221no—
563C2×D4—1221no—
564C2×D4—1221no—
565C2×D4—1221no—
566C2×D4—1221no—
567C2×D4—2441no—
568C2×D4—2441no—
569C2×D4—2441no—
570C2×D4—2441no—
571C2×D4#1175819814yes—
572C22×C4—41no—
573C22×C4—1221no—
574C22×C4—1222no—
575C22×C4—1222no—
576C22×C4—2441no—
577C22×C4—2441no—
578C22×C4—2441no—
579C22×C4—2441no—
580C22×C4C2×C4×D6111yescharacteristic
581C22×C4C2×D24411yescharacteristic
582C22×C4#1175822211yescharacteristic
583C22×C4#1175822211yescharacteristic
584C22×C4D4×D6111yescharacteristic
585C22×C4D4×D6111yescharacteristic
586C22×C4D4×D6111yescharacteristic
587C22×C4D4×D6111yescharacteristic
588C22×C4D4×D6111yescharacteristic
589C22×C4D4×D6111yescharacteristic
590C22×C4#1175822411yescharacteristic
591C22×C4C2×C22⋊D6111yescharacteristic
592C22×C4C2×C22⋊D6111yescharacteristic
593C22×C4C2×C22⋊D6111yescharacteristic
594SD16—12216no—
595D8—12216no—
596M16—41no—
597M16—41no—
598M16—41no—
599M16—41no—
600M16—1222no—
601M16—1222no—
602M16—1222no—
603M16—1222no—
604M16—1222no—
605M16—1222no—
606M16—1222no—
607M16—1222no—
608M16—2441no—
609M16—2441no—
610M16—2441no—
611M16—2441no—
612C2×C8—22no—
613C2×C8—22no—
614C2×C8—22no—
615C2×C8—614no—
616C2×C8—1222no—
617C2×C8—1222no—
618C2×C8—1222no—
619C2×C8—1222no—
620C2×C8—2441no—
621C2×C8—2441no—
622C2×C8—2441no—
623C2×C8—2441no—
624C4⋊C4—22no—
625C4⋊C4—41no—
626C22⋊C4—22no—
627C22⋊C4—41no—
628C42—22no—
629C42—41no—
630C23—24no—
631C23—42no—
632C23—42no—
633C23—42no—
634C23—42no—
635C23—42no—
636C23—42no—
637C23—42no—
638C23—84no—
639C23—84no—
640C23—84no—
641C23—84no—
642C23—84no—
643C23—84no—
644C23—84no—
645C23—1222no—
646C23—4882no—
647C23—2441no—
648C23—2441no—
649C23#1451973711yescharacteristic
650C23#1451974811yescharacteristic
651C23#1451974911yescharacteristic
652C23#1451974911yescharacteristic
653C23#1451975911yescharacteristic
654C23#1451976111yescharacteristic
655C23#1451976311yescharacteristic
656Q8—1222no—
657Q8—1222no—
658Q8—2441no—
659Q8—2441no—
660D4—24no—
661D4—24no—
662D4—42no—
663D4—42no—
664D4—42no—
665D4—42no—
666D4—42no—
667D4—42no—
668D4—1222no—
669D4—1222no—
670D4—2442no—
671D4—2442no—
672D4—2442no—
673D4—2442no—
674D4—2441no—
675D4—2441no—
676C2×C4—42no—
677C2×C4—82no—
678C2×C4—1222no—
679C2×C4—2441no—
680C2×C4—2441no—
681C2×C4—2442no—
682C2×C4—2442no—
683C2×C4—2442no—
684C2×C4—2442no—
685C2×C4C22⋊C4×D6111yescharacteristic
686C2×C4C22⋊C4×D6111yescharacteristic
687C2×C4C2×#1175819811yescharacteristic
688C2×C4#1451973711yescharacteristic
689C2×C4C4×C22⋊D6111yescharacteristic
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#1451974911yescharacteristic
701C2×C4#1451974911yescharacteristic
702C2×C4#1451975011yescharacteristic
703C2×C4#1451975011yescharacteristic
704C2×C4#1451975011yescharacteristic
705C2×C4#1451975011yescharacteristic
706C2×C4#1451975111yescharacteristic
707C2×C4#1451975111yescharacteristic
708C2×C4#1451975911yescharacteristic
709C2×C4#1451976011yescharacteristic
710C2×C4#1451976311yescharacteristic
711C2×C4#1451977311yescharacteristic
712C2×C4#1451977311yescharacteristic
713C8—42no—
714C8—1224no—
715C8—2442no—
716C8—2442no—
717C22—22no—
718C22—22no—
719C22—22no—
720C22—41no—
721C22—41no—
722C22—41no—
723C22—41no—
724C22—44no—
725C22—84no—
726C22—84no—
727C22—84no—
728C22—84no—
729C22—84no—
730C22—84no—
731C22—84no—
732C22—4882no—
733C22—4882no—
734C22—2444no—
735C22—2442no—
736C22#1683963811yescharacteristic
737C22#1683963911yescharacteristic
738C22#1683966211yescharacteristic
739C22#1683967011yescharacteristic
740C22#1683967711yescharacteristic
741C22#1683967811yescharacteristic
742C22#1683967811yescharacteristic
743C4—82no—
744C4—2442no—
745C4#1683961711yescharacteristic
746C4#1683963811yescharacteristic
747C4#1683964111yescharacteristic
748C4#1683966211yescharacteristic
749C4#1683967011yescharacteristic
750C4#1683967111yescharacteristic
751C4#1683967111yescharacteristic
752C4#1683967711yescharacteristic
753C2—21no—
754C2—21no—
755C2—21no—
756C2—21no—
757C2—21no—
758C2—21no—
759C2—84no—
760C2—4882no—
761C2#2144405811yescharacteristic
762C2#2144629612yes—
subgroupG/H
centerC22#16839638
commutatorC22×C4×C61C22×C4
FrattiniC23×C4C22×D61
FittingC2×C61×#418C2
socleC22×C61#386
prime radicalC22×#14519803C2
cosocleC23×C4×C61C23
hypercenterC2×#418D61
hypocenterC61#11014
LCSG ▷ C22×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C23×C4 ◁ C2×#418

Complements

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

NH ≅ G/Ntype
2. C2×#16839780C2semidirect
3. C22×#14519694C2semidirect
4. #21454263C2semidirect
5. C2×#16839532C2semidirect
6. C2×#16839520C2semidirect
7. C2×C61×#418C2semidirect
15. C22×#11758200C4semidirect
16. C22×#11758199C4semidirect
374. C2×#418D61semidirect
418. C61#11014semidirect

Maximal subgroups

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

subgroupindex
C22×#145198032
C2×#168397802
C22×#145196942
#214542632
C2×#168395322
C2×#168395202
C2×C61×#4182
#1101461