Finite Group Databasebeta

← C2×#21458639 #30559771

Subgroups — C2×#21458639 #30559771

Order 15616.

1886 conjugacy classes of subgroups.

The subgroup lattice has 724 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16840486C211yesmaximal, characteristic, complemented
2C2×#16840471C211yesmaximal, characteristic, complemented
3#21458639C2116yesmaximal, direct product factor
4C2×#16840130C211yesmaximal, characteristic, complemented
5C2×#16840123C211yesmaximal, characteristic, complemented
6C2×#16840118C211yesmaximal, characteristic, complemented
7C2×#16840071C211yesmaximal, characteristic, complemented
8C2×#16840045C211yesmaximal, characteristic, complemented
9C2×#16840063C211yesmaximal, characteristic, complemented
10C2×#16839979C211yesmaximal, characteristic
11C2×#16839979C211yesmaximal, characteristic
12C2×#16839891C211yesmaximal, characteristic, complemented
13C2×#16839872C211yesmaximal, characteristic
14C2×#16839863C211yesmaximal, characteristic, complemented
15C2×SD16×Dic61C211yesmaximal, characteristic, complemented
16C2×C61×#461C211yesmaximal, characteristic, complemented
17C22×#11758199C2211yescharacteristic
18#16840486—24no—
19#16840486C2218yescomplemented
20#16840471—24no—
21#16840471C2218yescomplemented
22C2×#14519776C2211yescharacteristic
23C2×#14519772—21no—
24C2×#14519772—21no—
25C2×#14519769C2211yescharacteristic
26C2×#14519768C2211yescharacteristic
27C2×#14519766C2211yescharacteristic
28C2×#14519766C2211yescharacteristic
29C2×#14519757—21no—
30C2×#14519756—21no—
31C2×#14519754—21no—
32C2×#14519754—21no—
33C2×Q8×Dic61C2211yescharacteristic
34C2×Q8×Dic61C2211yescharacteristic
35C2×C4×Dic122C2211yescharacteristic
36C2×C4×D244C2211yescharacteristic
37C2×D4×Dic61C2211yescharacteristic
38C2×D4×Dic61C2211yescharacteristic
39C2×#14519735—21no—
40C22×#11758196—21no—
41#16840130C2218yescomplemented
42#16840123C2218yescomplemented
43#16840118C2218yescomplemented
44#16840071C2218yescomplemented
45#16840063C2218yescomplemented
46#16840045C2218yescomplemented
47#16839979C2218yes—
48#16839979C2218yes—
49#16839891C2218yescomplemented
50#16839872C2218yes—
51#16839863C2218yescomplemented
52SD16×Dic61C2218yescomplemented
53C2×#14519711C2211yescharacteristic
54C2×#14519709C2211yescharacteristic
55C2×#14519708C2211yescharacteristic
56C2×#14519706C2211yescharacteristic
57C2×#14519706C2211yescharacteristic
58C2×#14519701C2211yescharacteristic
59C2×#14519701C2211yescharacteristic
60C2×#14519701C2211yescharacteristic
61C2×#14519701C2211yescharacteristic
62C2×#14519699C2211yescharacteristic
63C2×#14519699C2211yescharacteristic
64C2×#14519698C2211yescharacteristic
65C2×#14519697C2211yescharacteristic
66C2×#14519688C2211yescharacteristic
67C2×#14519687C2211yescharacteristic
68C2×C8×Dic61C2211yescharacteristic
69C22×SD16×C61C2211yescharacteristic
70C22×SD16×C61C2211yescharacteristic
71C2×C4⋊Q8×C61C2211yescharacteristic
72C2×C4×D4×C61C2211yescharacteristic
73C61×#461C2218yescomplemented
74C2×C4⋊C8×C61C2211yescharacteristic
75C2×#103×C61C2211yescharacteristic
76C2×#103×C61C2211yescharacteristic
77C22×Dic122—21no—
78C22×Dic122D411yescharacteristic
79C22×D244C2311yescharacteristic
80C23×Dic61—21no—
81C23×Dic61—21no—
82C22×C4×D61—21no—
83C2×#11758199—24no—
84C2×#11758199C2314yes—
85C22×#92418C2311yescharacteristic
86C22×#92418C2311yescharacteristic
87#14519776—22no—
88#14519776C2314yes—
89#14519772—28no—
90#14519772—28no—
91#14519769—22no—
92#14519769C2314yes—
93#14519768—22no—
94#14519768C2314yes—
95#14519766—22no—
96#14519766—22no—
97#14519766C2314yes—
98#14519766C2314yes—
99#14519757—28no—
100#14519756—28no—
101#14519754—28no—
102#14519754—28no—
103Q8×Dic61—22no—
104Q8×Dic61—22no—
105Q8×Dic61C2314yes—
106Q8×Dic61C2314yes—
107C4×Dic122D414yes—
108C4×Dic122C2314yes—
109C4×D244—22no—
110C4×D244C2314yes—
111D4×Dic61—22no—
112D4×Dic61—22no—
113D4×Dic61C2314yes—
114D4×Dic61C2314yes—
115#14519735—28no—
116C2×C4⋊Dic61—21no—
117C2×C4⋊Dic61—21no—
118C2×C4⋊Dic61—21no—
119C2×C4⋊Dic61D411yescharacteristic
120C2×C4⋊Dic61C2311yescharacteristic
121C2×C4⋊Dic61C2311yescharacteristic
122C2×C4⋊Dic61C2311yescharacteristic
123C2×#11758196—21no—
124C2×#11758196—21no—
125C2×#11758196—21no—
126C2×#11758196—21no—
127C2×#11758196—28no—
128C2×#11758196D411yescharacteristic
129C2×#11758196D411yescharacteristic
130C2×C22⋊Dic61—21no—
131C2×C22⋊Dic61—21no—
132C2×#11758198—21no—
133C2×#11758198—21no—
134C2×#11758198—21no—
135C2×#11758198—21no—
136C2×#11758198—21no—
137C2×C4×Dic61—21no—
138C2×C4×Dic61—21no—
139C2×C4×Dic61C2311yescharacteristic
140C2×C4×Dic61C2311yescharacteristic
141#14519711C2314yes—
142#14519709C2314yes—
143#14519708C2314yes—
144#14519706C2314yes—
145#14519706C2314yes—
146#14519701C2314yes—
147#14519701C2314yes—
148#14519701C2314yes—
149#14519701C2314yes—
150#14519699C2314yes—
151#14519699C2314yes—
152#14519698C2314yes—
153#14519697C2314yes—
154#14519688C2314yes—
155#14519687C2314yes—
156C8×Dic61C2314yes—
157C22×Q8×C61C2311yescharacteristic
158C22×Q8×C61C2311yescharacteristic
159C22×D4×C61C2311yescharacteristic
160C23×C4×C61—21no—
161C2×SD16×C61—24no—
162C2×SD16×C61—24no—
163C2×SD16×C61C2314yes—
164C2×SD16×C61C2314yes—
165C22×C8×C61C2311yescharacteristic
166C22×C8×C61C2311yescharacteristic
167C4⋊Q8×C61—22no—
168C4⋊Q8×C61C2314yes—
169C4×D4×C61—22no—
170C4×D4×C61C2314yes—
171C2×C4⋊C4×C61—21no—
172C2×C4⋊C4×C61—21no—
173C2×C4⋊C4×C61C2311yescharacteristic
174C2×C22⋊C4×C61—21no—
175C2×C42×C61C2311yescharacteristic
176C4⋊C8×C61C2314yes—
177#103×C61C2314yes—
178#103×C61C2314yes—
179C24×C61—21no—
180C23×D61—21no—
181C2×Q8×C61—21no—
182C2×Q8×C61—21no—
183C2×Q8×C61—22no—
184C2×Q8×C61—22no—
185C2×Q8×C61—22no—
186C2×Q8×C61—22no—
187C2×Q8×C61C2412yes—
188C2×Q8×C61C2412yes—
189C2×D4×C61—21no—
190C2×D4×C61—22no—
191C2×D4×C61#4114yes—
192C2×D4×C61C2412yes—
193C22×C4×C61—21no—
194C22×C4×C61—21no—
195C22×C4×C61—21no—
196C22×C4×C61—24no—
197C22×C4×C61—82no—
198C22×C4×C61C2×D411yescharacteristic
199C22×C4×C61C2×D411yescharacteristic
200C22×C4×C61C2411yescharacteristic
201C22×Dic61—21no—
202C22×Dic61—21no—
203C22×Dic61—21no—
204C22×Dic61—24no—
205C22×Dic61—24no—
206C22×Dic61—44no—
207C22×Dic61—82no—
208C22×Dic61C2×D411yescharacteristic
209C22×Dic61C2×D411yescharacteristic
210C22×Dic61C2×D411yescharacteristic
211C22×Dic61C2×D411yescharacteristic
212C2×D244—22no—
213C2×D244—22no—
214C2×D244—21no—
215C2×D244C2412yes—
216C2×C4×D61—24no—
217C2×C4×D61—44no—
218C2×Dic122—24no—
219C2×Dic122—42no—
220C2×Dic122—82no—
221C2×Dic122C2×D414yes—
222SD16×C61—28no—
223SD16×C61—28no—
224C2×C8×C61—22no—
225C2×C8×C61—22no—
226C2×C8×C61C2412yes—
227C2×C8×C61C2412yes—
228C4⋊C4×C61—24no—
229C4⋊C4×C61—24no—
230C4⋊C4×C61—21no—
231C4⋊C4×C61C2412yes—
232C22⋊C4×C61—24no—
233C42×C61C2×D412yes—
234C42×C61C2412yes—
235C22⋊Dic61—24no—
236C22⋊Dic61—24no—
237#11758199—28no—
238#11758198—24no—
239#11758198—24no—
240#11758198—24no—
241#11758198—24no—
242#11758198—24no—
243C4⋊Dic61—21no—
244C4⋊Dic61—21no—
245C4⋊Dic61—21no—
246C4⋊Dic61—24no—
247C4⋊Dic61—24no—
248C4⋊Dic61—24no—
249C4⋊Dic61C2×D414yes—
250C4⋊Dic61C2412yes—
251C4⋊Dic61C2412yes—
252C4⋊Dic61C2412yes—
253#11758196—24no—
254#11758196—24no—
255#11758196—24no—
256#11758196—24no—
257#11758196C2×D414yes—
258#11758196C2×D414yes—
259C4×Dic61—24no—
260C4×Dic61—24no—
261C4×Dic61C2×D412yes—
262C4×Dic61C2×D412yes—
263C4×Dic61C2412yes—
264C4×Dic61C2412yes—
265C2×#92418—22no—
266C2×#92418—22no—
267C2×#92418C2412yes—
268C2×#92418C2412yes—
269C23×C61—24no—
270C23×C61—22no—
271C23×C61—42no—
272C23×C61—42no—
273C23×C61C22×D411yescharacteristic
274C22×D61—22no—
275C22×D61—42no—
276C22×D61—42no—
277C22×D61—42no—
278Q8×C61—22no—
279Q8×C61—22no—
280Q8×C61—22no—
281Q8×C61—22no—
282Q8×C61—42no—
283Q8×C61—42no—
284D4×C61—24no—
285D4×C61—22no—
286D4×C61C2×#4114yes—
287C2×C4×C61—22no—
288C2×C4×C61—22no—
289C2×C4×C61—22no—
290C2×C4×C61—22no—
291C2×C4×C61—22no—
292C2×C4×C61—42no—
293C2×C4×C61—42no—
294C2×C4×C61—42no—
295C2×C4×C61—84no—
296C2×C4×C61C22×D412yes—
297C2×C4×C61C22×D412yes—
298C2×C4×C61C22×D411yescharacteristic
299C2×C4×C61C2×#4112yes—
300C2×C4×C612−1+412yes—
301C2×C4×C61C2511yescharacteristic
302C2×Dic61—22no—
303C2×Dic61—22no—
304C2×Dic61—22no—
305C2×Dic61—22no—
306C2×Dic61—22no—
307C2×Dic61—22no—
308C2×Dic61—22no—
309C2×Dic61—48no—
310C2×Dic61—42no—
311C2×Dic61—42no—
312C2×Dic61—42no—
313C2×Dic61—84no—
314C2×Dic61C22×D412yes—
315C2×Dic61C22×D412yes—
316C2×Dic61C22×D412yes—
317C2×Dic61C22×D412yes—
318D244—22no—
319D244—22no—
320D244—42no—
321C4×D61—48no—
322Dic122—44no—
323Dic122—84no—
324C8×C61—22no—
325C8×C61—22no—
326#92418—22no—
327#92418—22no—
328C2×#3376—611nomaximal, Sylow
329C22×C61—24no—
330C22×C61—48no—
331C22×C61—42no—
332C22×C61—42no—
333C22×C61#54812yes—
334C22×C61#57512yes—
335C22×C61#57712yes—
336C22×C61C23×D411yescharacteristic
337C2×D61—42no—
338C2×D61—42no—
339C2×D61—42no—
340C2×D61—84no—
341C4×C61—22no—
342C4×C61—22no—
343C4×C61—42no—
344C4×C61—42no—
345C4×C61—42no—
346C4×C61#54812yes—
347C4×C61C22×#4111yescharacteristic
348C4×C61C2×2−1+411yescharacteristic
349Dic61—22no—
350Dic61—22no—
351Dic61—22no—
352Dic61—22no—
353Dic61—42no—
354Dic61—42no—
355Dic61—42no—
356C2×#556—611no—
357C2×#554—611no—
358#3376—6116no—
359C2×#491—611no—
360C2×#489—611no—
361C2×#488—611no—
362C2×#479—611no—
363C2×#475—611no—
364C2×#478—611no—
365C2×#463—611no—
366C2×#463—611no—
367C2×#461D6111yescharacteristic, complemented
368C2×#446—611no—
369C2×#442—611no—
370C2×#440—611no—
371C2×C4×SD16—611no—
372C2×C61—44no—
373C2×C61#337614yescomplemented
374C2×C61C2×#54811yescharacteristic
375C2×C61C2×#57511yescharacteristic
376C2×C61C2×#57711yescharacteristic
377D61—82no—
378C22×SD16C2×D6111yescharacteristic
379C22×SD16C2×D6111yescharacteristic
380C22×D8—611no—
381#556—618no—
382#556—1224no—
383#554—618no—
384#554—1224no—
385C2×C4⋊Q8—611no—
386C2×C4⋊Q8C2×D6111yescharacteristic
387C2×#126—1221no—
388C2×#126—1221no—
389C2×#125—611no—
390C2×#125—611no—
391C2×#124—611no—
392C2×#124—611no—
393C2×C22⋊Q8—1221no—
394C2×C22⋊Q8—1221no—
395C2×C22⋊Q8—1221no—
396C2×C22⋊Q8—1221no—
397C2×C4×Q8—611no—
398C2×C4×Q8—611no—
399C2×C4×Q8—611no—
400C2×C4×D4—611no—
401C2×C4×D4—611no—
402C2×C4×D4—611no—
403C2×C4×D4C2×D6111yescharacteristic
404C2×#117—1221no—
405C22×C4⋊C4—1221no—
406#491—618no—
407#489—618no—
408#488—618no—
409#479—618no—
410#478—618no—
411#475—618no—
412#463—618no—
413#463—618no—
414#461C2×D6118yescomplemented
415#446—618no—
416#442—618no—
417#440—618no—
418C4×SD16—618no—
419C2×#107—611no—
420C2×#106—611no—
421C2×#106—611no—
422C2×C4⋊C8—611no—
423C2×C4⋊C8—611no—
424C2×C4⋊C8C2×D6111yescharacteristic
425C2×#103—611no—
426C2×#103—611no—
427C2×#103—611no—
428C2×#103—611no—
429C2×#103C2×D6111yescharacteristic
430C2×#103C2×D6111yescharacteristic
431C2×#102—611no—
432C2×#102—611no—
433C2×#102—611no—
434C2×#102—611no—
435C2×#97—611no—
436C2×#97—611no—
437C2×C4×C8—611no—
438C61C2×#337611yescharacteristic, complemented, Sylow
439C22×Q8—611no—
440C22×Q8—1221no—
441C22×Q8C22×D6111yescharacteristic
442C22×Q8C22×D6111yescharacteristic
443C22×D4—611no—
444C22×D4C22×D6111yescharacteristic
445C23×C4—21no—
446C23×C4—1221no—
447C23×C4—1221no—
448C23×C4—1221no—
449C2×SD16—24no—
450C2×SD16—24no—
451C2×SD16C22×D6114yes—
452C2×SD16C22×D6114yes—
453C2×D8—614no—
454C2×D8—1224no—
455C22×C8—611no—
456C22×C8—611no—
457C22×C8C22×D6111yescharacteristic
458C22×C8C22×D6111yescharacteristic
459C4⋊Q8—22no—
460C4⋊Q8—614no—
461C4⋊Q8—1222no—
462C4⋊Q8C22×D6114yes—
463#126—1228no—
464#126—1228no—
465#125—614no—
466#125—614no—
467#125—1222no—
468#125—1222no—
469#124—614no—
470#124—614no—
471#124—1222no—
472#124—1222no—
473C22⋊Q8—1228no—
474C22⋊Q8—1228no—
475C22⋊Q8—1228no—
476C22⋊Q8—1228no—
477C4×Q8—614no—
478C4×Q8—614no—
479C4×Q8—614no—
480C4×Q8—614no—
481C4×Q8—1222no—
482C4×Q8—1222no—
483C4×D4—22no—
484C4×D4—614no—
485C4×D4—614no—
486C4×D4—614no—
487C4×D4—1222no—
488C4×D4—1222no—
489C4×D4—1222no—
490C4×D4C22×D6114yes—
491#117—1228no—
492C2×C4⋊C4—21no—
493C2×C4⋊C4—21no—
494C2×C4⋊C4—611no—
495C2×C4⋊C4—611no—
496C2×C4⋊C4—611no—
497C2×C4⋊C4—611no—
498C2×C4⋊C4—611no—
499C2×C4⋊C4—611no—
500C2×C4⋊C4—1228no—
501C2×C4⋊C4—1221no—
502C2×C4⋊C4—1221no—
503C2×C4⋊C4—1221no—
504C2×C4⋊C4—1221no—
505C2×C4⋊C4—1221no—
506C2×C4⋊C4—1221no—
507C2×C4⋊C4—1221no—
508C2×C4⋊C4C22×D6111yescharacteristic
509C2×C22⋊C4—21no—
510C2×C22⋊C4—1221no—
511C2×C22⋊C4—1221no—
512C2×C22⋊C4—1221no—
513C2×C22⋊C4—1221no—
514C2×C22⋊C4—1221no—
515C2×C22⋊C4—1221no—
516C2×C22⋊C4—1221no—
517C2×C42—611no—
518C2×C42—611no—
519C2×C42—1221no—
520C2×C42—1221no—
521C2×C42C22×D6111yescharacteristic
522#107—614no—
523#106—614no—
524#106—614no—
525C4⋊C8—614no—
526C4⋊C8—614no—
527C4⋊C8C22×D6114yes—
528#103—614no—
529#103—614no—
530#103—614no—
531#103—614no—
532#103C22×D6114yes—
533#103C22×D6114yes—
534#102—614no—
535#102—614no—
536#102—614no—
537#102—614no—
538#97—614no—
539#97—614no—
540C4×C8—614no—
541C24—21no—
542C24—1221no—
543C2×Q8—21no—
544C2×Q8—21no—
545C2×Q8—22no—
546C2×Q8—22no—
547C2×Q8—22no—
548C2×Q8—22no—
549C2×Q8—614no—
550C2×Q8—1224no—
551C2×Q8—4882no—
552C2×Q8—2442no—
553C2×Q8C23×D6112yes—
554C2×Q8C23×D6112yes—
555C2×D4—21no—
556C2×D4—22no—
557C2×D4—612no—
558C2×D4—1221no—
559C2×D4—1222no—
560C2×D4—1222no—
561C2×D4#1175822414yes—
562C2×D4C23×D6112yes—
563C22×C4—21no—
564C22×C4—21no—
565C22×C4—21no—
566C22×C4—24no—
567C22×C4—82no—
568C22×C4—611no—
569C22×C4—611no—
570C22×C4—611no—
571C22×C4—611no—
572C22×C4—1224no—
573C22×C4—1224no—
574C22×C4—1221no—
575C22×C4—1221no—
576C22×C4—1221no—
577C22×C4—1224no—
578C22×C4—4882no—
579C22×C4—2444no—
580C22×C4—2444no—
581C22×C4D4×D6111yescharacteristic
582C22×C4D4×D6111yescharacteristic
583C22×C4C23×D6111yescharacteristic
584SD16—28no—
585SD16—28no—
586D8—1228no—
587C2×C8—22no—
588C2×C8—22no—
589C2×C8—612no—
590C2×C8—612no—
591C2×C8—1222no—
592C2×C8—1222no—
593C2×C8C23×D6112yes—
594C2×C8C23×D6112yes—
595C4⋊C4—24no—
596C4⋊C4—24no—
597C4⋊C4—21no—
598C4⋊C4—614no—
599C4⋊C4—614no—
600C4⋊C4—614no—
601C4⋊C4—612no—
602C4⋊C4—612no—
603C4⋊C4—612no—
604C4⋊C4—1224no—
605C4⋊C4—1224no—
606C4⋊C4—1224no—
607C4⋊C4—1224no—
608C4⋊C4—1224no—
609C4⋊C4—1221no—
610C4⋊C4—1221no—
611C4⋊C4—1221no—
612C4⋊C4—1224no—
613C4⋊C4—1224no—
614C4⋊C4C23×D6112yes—
615C22⋊C4—24no—
616C22⋊C4—1224no—
617C22⋊C4—1224no—
618C22⋊C4—1224no—
619C22⋊C4—1224no—
620C22⋊C4—1224no—
621C22⋊C4—1224no—
622C22⋊C4—1224no—
623C42—612no—
624C42—612no—
625C42—612no—
626C42—612no—
627C42—1224no—
628C42—1224no—
629C42D4×D6112yes—
630C42C23×D6112yes—
631C23—22no—
632C23—24no—
633C23—42no—
634C23—42no—
635C23—1222no—
636C23—2442no—
637C23—2442no—
638C23—2442no—
639C23C2×D4×D6111yescharacteristic
640Q8—22no—
641Q8—22no—
642Q8—22no—
643Q8—22no—
644Q8—42no—
645Q8—42no—
646Q8—4884no—
647Q8—2444no—
648D4—22no—
649D4—24no—
650D4—1222no—
651D4—1222no—
652D4—2442no—
653D4C2×#1175822414yes—
654C2×C4—22no—
655C2×C4—22no—
656C2×C4—22no—
657C2×C4—22no—
658C2×C4—22no—
659C2×C4—42no—
660C2×C4—42no—
661C2×C4—42no—
662C2×C4—84no—
663C2×C4—612no—
664C2×C4—612no—
665C2×C4—612no—
666C2×C4—612no—
667C2×C4—1222no—
668C2×C4—1222no—
669C2×C4—1222no—
670C2×C4—1222no—
671C2×C4—1222no—
672C2×C4—1222no—
673C2×C4—1222no—
674C2×C4—4884no—
675C2×C4—2448no—
676C2×C4—2448no—
677C2×C4—2442no—
678C2×C4—2442no—
679C2×C4—2442no—
680C2×C4C2×D4×D6112yes—
681C2×C4C2×D4×D6112yes—
682C2×C4C2×D4×D6111yescharacteristic
683C2×C4C2×#1175822412yes—
684C2×C4#1451982412yes—
685C2×C4C24×D6111yescharacteristic
686C8—22no—
687C8—22no—
688C8—1222no—
689C8—1222no—
690C22—24no—
691C22—42no—
692C22—42no—
693C22—48no—
694C22—4884no—
695C22—2442no—
696C22—2442no—
697C22—2442no—
698C22#1684041812yes—
699C22#1684056112yes—
700C22#1684056812yes—
701C22C22×D4×D6111yescharacteristic
702C4—22no—
703C4—22no—
704C4—42no—
705C4—42no—
706C4—42no—
707C4—1222no—
708C4—1222no—
709C4—1222no—
710C4—1222no—
711C4—2442no—
712C4—2442no—
713C4—2442no—
714C4#1684041812yes—
715C4C22×#1175822411yescharacteristic
716C4C2×#1451982411yescharacteristic
717C2—44no—
718C2—4882no—
719C2#2145863914yesdirect product factor
720C2C2×#1684041811yescharacteristic
721C2C2×#1684056111yescharacteristic
722C2C2×#1684056811yescharacteristic
subgroupG/H
centerC23C2×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC2×C61×#461C2
socleC23×C61C22×D4
prime radicalC22×#11758199C22
hypercenterC2×#461D61
hypocenterC61C2×#3376
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C23 ◁ C2×C42 ◁ C2×#461

Complements

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

NH ≅ G/Ntype
1. C2×#16840486C2semidirect
2. C2×#16840471C2semidirect
3. #21458639C2direct (N × H)
4. C2×#16840130C2semidirect
5. C2×#16840123C2semidirect
6. C2×#16840118C2semidirect
7. C2×#16840071C2semidirect
8. C2×#16840045C2semidirect
9. C2×#16840063C2semidirect
12. C2×#16839891C2semidirect
14. C2×#16839863C2semidirect
15. C2×SD16×Dic61C2semidirect
16. C2×C61×#461C2semidirect
19. #16840486C22semidirect
21. #16840471C22semidirect
41. #16840130C22semidirect
42. #16840123C22semidirect
43. #16840118C22semidirect
44. #16840071C22semidirect
45. #16840063C22semidirect
46. #16840045C22semidirect
49. #16839891C22semidirect
51. #16839863C22semidirect
52. SD16×Dic61C22semidirect
73. C61×#461C22semidirect
367. C2×#461D61semidirect
373. C2×C61#3376semidirect
414. #461C2×D61semidirect
438. C61C2×#3376semidirect
719. C2#21458639direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#168404862
C2×#168404712
#214586392
C2×#168401302
C2×#168401232
C2×#168401182
C2×#168400712
C2×#168400452
C2×#168400632
C2×#168399792
C2×#168398912
C2×#168398722
C2×#168398632
C2×SD16×Dic612
C2×C61×#4612
C2×#337661