Finite Group Databasebeta

← C2×#21457074 #30552204

Subgroups — C2×#21457074 #30552204

Order 15616.

1806 conjugacy classes of subgroups.

The subgroup lattice has 726 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16840390C211yesmaximal, characteristic, complemented
2C2×#16840367C211yesmaximal, characteristic
3#21457074C2116yesmaximal, direct product factor
4C2×#16840171C211yesmaximal, characteristic, complemented
5C2×#16840164C211yesmaximal, characteristic, complemented
6C2×#16840127C211yesmaximal, characteristic, complemented
7C2×#16840109C211yesmaximal, characteristic, complemented
8C2×#16840081C211yesmaximal, characteristic, complemented
9C2×#16840087C211yesmaximal, characteristic, complemented
10C2×#16840087C211yesmaximal, characteristic, complemented
11C2×#16840076C211yesmaximal, characteristic, complemented
12C2×#16840063C211yesmaximal, characteristic, complemented
13C2×#16840063C211yesmaximal, characteristic, complemented
14C2×#16840053C211yesmaximal, characteristic, complemented
15C2×#16840043C211yesmaximal, characteristic, complemented
16C2×C61×#433C211yesmaximal, characteristic, complemented
17#16840390—24no—
18#16840390C2218yescomplemented
19#16840367—24no—
20#16840367C2218yes—
21C2×#14519777C2211yescharacteristic
22C2×#14519777C2211yescharacteristic
23C2×#14519776—21no—
24C2×#14519774C2211yescharacteristic
25C2×#14519769C2211yescharacteristic
26C2×#14519769C2211yescharacteristic
27C2×#14519769C2211yescharacteristic
28C2×#14519768—21no—
29C2×#14519762—21no—
30C2×#14519762—21no—
31C2×#14519754—21no—
32C2×#14519754—21no—
33C2×#14519751C2211yescharacteristic
34C2×#14519751C2211yescharacteristic
35C2×#14519750—21no—
36C2×#14519750—21no—
37C2×C4×D244C2211yescharacteristic
38C2×C4×D244C2211yescharacteristic
39C2×#14519736C2211yescharacteristic
40C22×C4⋊Dic61C2211yescharacteristic
41#16840171C2218yescomplemented
42#16840164C2218yescomplemented
43#16840127C2218yescomplemented
44#16840109C2218yescomplemented
45#16840087C2218yescomplemented
46#16840087C2218yescomplemented
47#16840081C2218yescomplemented
48#16840076C2218yescomplemented
49#16840063C2218yescomplemented
50#16840063C2218yescomplemented
51#16840053C2218yescomplemented
52#16840043C2218yescomplemented
53C2×#14519711C2211yescharacteristic
54C2×#14519711C2211yescharacteristic
55C2×#14519711C2211yescharacteristic
56C2×#14519711C2211yescharacteristic
57C2×#14519709C2211yescharacteristic
58C2×#14519709C2211yescharacteristic
59C2×#14519709C2211yescharacteristic
60C2×#14519709C2211yescharacteristic
61C2×#14519699C2211yescharacteristic
62C2×#14519699C2211yescharacteristic
63C2×#14519699C2211yescharacteristic
64C2×#14519699C2211yescharacteristic
65C2×#14519699C2211yescharacteristic
66C2×#14519699C2211yescharacteristic
67C2×#14519699C2211yescharacteristic
68C2×#14519699C2211yescharacteristic
69C2×#117×C61C2211yescharacteristic
70C61×#433C2218yescomplemented
71C2×C4⋊C8×C61C2211yescharacteristic
72C2×C4⋊C8×C61C2211yescharacteristic
73C2×C22⋊C8×C61C2211yescharacteristic
74C2×C22⋊C8×C61C2211yescharacteristic
75C2×#97×C61C2211yescharacteristic
76C2×C4×C8×C61C2211yescharacteristic
77C22×Dic122—21no—
78C22×Dic122—21no—
79C22×D244—21no—
80C22×D244—21no—
81C22×D244C2311yescharacteristic
82C22×D244C2311yescharacteristic
83C22×C22⋊D61—21no—
84C22×C22⋊D61—21no—
85C23×Dic61—21no—
86C22×C4×D61—21no—
87C22×C4×D61—21no—
88#14519777—22no—
89#14519777—22no—
90#14519777C2314yes—
91#14519777C2314yes—
92#14519776—28no—
93#14519774—22no—
94#14519774C2314yes—
95#14519769—22no—
96#14519769—22no—
97#14519769—22no—
98#14519769C2314yes—
99#14519769C2314yes—
100#14519769C2314yes—
101#14519768—28no—
102#14519762—28no—
103#14519762—28no—
104#14519754—28no—
105#14519754—28no—
106#14519751—22no—
107#14519751—22no—
108#14519751C2314yes—
109#14519751C2314yes—
110#14519750—28no—
111#14519750—28no—
112C4×D244—22no—
113C4×D244—22no—
114C4×D244C2314yes—
115C4×D244C2314yes—
116#14519736—22no—
117#14519736C2314yes—
118C2×C4⋊Dic61—21no—
119C2×C4⋊Dic61—22no—
120C2×C4⋊Dic61—21no—
121C2×C4⋊Dic61—21no—
122C2×C4⋊Dic61C2311yescharacteristic
123C2×C4⋊Dic61C2311yescharacteristic
124C2×C4⋊Dic61C2314yes—
125C2×C4⋊Dic61C2311yescharacteristic
126C2×C4⋊Dic61C2311yescharacteristic
127C2×C4⋊Dic61C2311yescharacteristic
128C2×C4⋊Dic61C2311yescharacteristic
129C2×#11758196—21no—
130C2×#11758196—21no—
131C2×#11758196—21no—
132C2×#11758196—21no—
133C2×#11758196—21no—
134C2×#11758196—21no—
135C2×C22⋊Dic61—21no—
136C2×#11758198—21no—
137C2×#11758198—21no—
138C2×#11758198—21no—
139C2×#11758198—21no—
140C2×C4×Dic61—21no—
141#14519711C2314yes—
142#14519711C2314yes—
143#14519711C2314yes—
144#14519711C2314yes—
145#14519709C2314yes—
146#14519709C2314yes—
147#14519709C2314yes—
148#14519709C2314yes—
149#14519699C2314yes—
150#14519699C2314yes—
151#14519699C2314yes—
152#14519699C2314yes—
153#14519699C2314yes—
154#14519699C2314yes—
155#14519699C2314yes—
156#14519699C2314yes—
157C23×C4×C61C2311yescharacteristic
158C22×C8×C61C2311yescharacteristic
159C22×C8×C61C2311yescharacteristic
160C22×C8×C61C2311yescharacteristic
161C22×C8×C61C2311yescharacteristic
162#117×C61D414yes—
163#117×C61C2314yes—
164C2×C4⋊C4×C61D411yescharacteristic
165C2×C4⋊C4×C61D411yescharacteristic
166C2×C22⋊C4×C61D411yescharacteristic
167C2×C22⋊C4×C61D411yescharacteristic
168C2×C42×C61C2311yescharacteristic
169C2×C42×C61C2311yescharacteristic
170C4⋊C8×C61C2314yes—
171C4⋊C8×C61C2314yes—
172C22⋊C8×C61C2314yes—
173C22⋊C8×C61C2314yes—
174#97×C61C2314yes—
175C4×C8×C61C2314yes—
176C24×C61C2×D411yescharacteristic
177C23×D61—21no—
178C23×D61—21no—
179C22×C4×C61—22no—
180C22×C4×C61—22no—
181C22×C4×C61C2×D411yescharacteristic
182C22×C4×C61C2×D411yescharacteristic
183C22×C4×C61C2×D411yescharacteristic
184C22×C4×C61C2×D411yescharacteristic
185C22×C4×C61C2×D411yescharacteristic
186C22×C4×C61C2×D412yes—
187C22×C4×C61C2412yes—
188C22×C4×C61C2411yescharacteristic
189C2×C22⋊D61—24no—
190C2×C22⋊D61—24no—
191C2×C22⋊D61—82no—
192C2×C22⋊D61—82no—
193C22×Dic61—21no—
194C22×Dic61—21no—
195C22×Dic61—21no—
196C22×Dic61—21no—
197C22×Dic61—21no—
198C22×Dic61—21no—
199C22×Dic61—24no—
200C22×Dic61—82no—
201C2×D244—22no—
202C2×D244—22no—
203C2×D244—22no—
204C2×D244—22no—
205C2×D244—21no—
206C2×D244—21no—
207C2×D244—24no—
208C2×D244—24no—
209C2×D244—82no—
210C2×D244—82no—
211C2×D244C2412yes—
212C2×D244C2412yes—
213C2×C4×D61—24no—
214C2×C4×D61—24no—
215C2×C4×D61—82no—
216C2×C4×D61—82no—
217C2×Dic122—24no—
218C2×Dic122—24no—
219C2×Dic122—82no—
220C2×Dic122—82no—
221C2×C8×C61—22no—
222C2×C8×C61—22no—
223C2×C8×C61—22no—
224C2×C8×C61—22no—
225C2×C8×C61C2412yes—
226C2×C8×C61C2412yes—
227C2×C8×C61C2412yes—
228C2×C8×C61C2412yes—
229C4⋊C4×C61C2×D414yes—
230C4⋊C4×C61C2×D414yes—
231C22⋊C4×C61C2×D414yes—
232C22⋊C4×C61C2×D414yes—
233C42×C61C2×D412yes—
234C42×C61C2×D412yes—
235C42×C61C2412yes—
236C42×C61C2412yes—
237C22⋊Dic61—24no—
238#11758198—24no—
239#11758198—24no—
240#11758198—24no—
241#11758198—24no—
242C4⋊Dic61—24no—
243C4⋊Dic61—21no—
244C4⋊Dic61—21no—
245C4⋊Dic61—24no—
246C4⋊Dic61—24no—
247C4⋊Dic61—21no—
248C4⋊Dic61—21no—
249C4⋊Dic61—21no—
250C4⋊Dic61—21no—
251C4⋊Dic61C2412yes—
252C4⋊Dic61C2412yes—
253C4⋊Dic61C2412yes—
254C4⋊Dic61C2412yes—
255C4⋊Dic61C2412yes—
256C4⋊Dic61C2412yes—
257#11758196—24no—
258#11758196—24no—
259#11758196—24no—
260#11758196—24no—
261#11758196—24no—
262#11758196—24no—
263C4×Dic61—24no—
264C23×C61—22no—
265C23×C61—22no—
266C23×C61—22no—
267C23×C61C22×D412yes—
268C23×C61C22×D411yescharacteristic
269C22×D61—22no—
270C22×D61—22no—
271C22×D61—42no—
272C22×D61—42no—
273C22×D61—42no—
274C22×D61—42no—
275C22×D61—42no—
276C22×D61—42no—
277C2×C4×C61—22no—
278C2×C4×C61—22no—
279C2×C4×C61—22no—
280C2×C4×C61—22no—
281C2×C4×C61—22no—
282C2×C4×C61—24no—
283C2×C4×C61—22no—
284C2×C4×C61—22no—
285C2×C4×C61C22×D412yes—
286C2×C4×C61C22×D412yes—
287C2×C4×C61C22×D412yes—
288C2×C4×C61C22×D412yes—
289C2×C4×C61C22×D412yes—
290C2×C4×C61C22×D411yescharacteristic
291C2×C4×C612−1+412yes—
292C2×C4×C612−1+412yes—
293C2×C4×C61C2511yescharacteristic
294C22⋊D61—84no—
295C22⋊D61—84no—
296C2×Dic61—22no—
297C2×Dic61—22no—
298C2×Dic61—22no—
299C2×Dic61—22no—
300C2×Dic61—22no—
301C2×Dic61—22no—
302C2×Dic61—42no—
303C2×Dic61—42no—
304C2×Dic61—42no—
305C2×Dic61—42no—
306C2×Dic61—42no—
307C2×Dic61—42no—
308C2×Dic61—84no—
309D244—22no—
310D244—22no—
311D244—22no—
312D244—22no—
313D244—42no—
314D244—42no—
315D244—84no—
316D244—84no—
317C4×D61—84no—
318C4×D61—84no—
319Dic122—84no—
320Dic122—84no—
321C8×C61—22no—
322C8×C61—22no—
323C8×C61—22no—
324C8×C61—22no—
325C2×#3241—611nomaximal, Sylow
326C22×C61—22no—
327C22×C61—22no—
328C22×C61—22no—
329C22×C61—44no—
330C22×C61#53612yes—
331C22×C61#57612yes—
332C22×C61#57712yes—
333C22×C61C23×D411yescharacteristic
334C2×D61—42no—
335C2×D61—42no—
336C2×D61—42no—
337C2×D61—42no—
338C2×D61—42no—
339C2×D61—42no—
340C2×D61—84no—
341C2×D61—84no—
342C4×C61—22no—
343C4×C61—22no—
344C4×C61—22no—
345C4×C61—22no—
346C4×C61—22no—
347C4×C61#53612yes—
348C4×C61C2×2−1+411yescharacteristic
349C4×C61C2×2−1+411yescharacteristic
350Dic61—42no—
351Dic61—42no—
352Dic61—42no—
353Dic61—42no—
354Dic61—42no—
355Dic61—42no—
356C2×#544—611no—
357C2×#540—611no—
358#3241—6116no—
359C2×#501—611no—
360C2×#499—611no—
361C2×#490—611no—
362C2×#486—611no—
363C2×#481—611no—
364C2×#482—611no—
365C2×#482—611no—
366C2×#480—611no—
367C2×#478—611no—
368C2×#478—611no—
369C2×#476—611no—
370C2×#474—611no—
371C2×#433D6111yescharacteristic, complemented
372C2×C61—42no—
373C2×C61#324114yescomplemented
374C2×C61C2×#53611yescharacteristic
375C2×C61C2×#57611yescharacteristic
376C2×C61C2×#57711yescharacteristic
377D61—82no—
378D61—82no—
379#544—618no—
380#544—1224no—
381#540—618no—
382#540—1224no—
383C2×C4⋊Q8—611no—
384C2×C4⋊Q8—611no—
385C2×C4⋊Q8—1221no—
386C2×#127—611no—
387C2×#125—611no—
388C2×#125—611no—
389C2×#125—611no—
390C2×#125—1221no—
391C2×#123—1221no—
392C2×#123—1221no—
393C2×C22⋊Q8—1221no—
394C2×C22⋊Q8—1221no—
395C2×#121—611no—
396C2×#121—611no—
397C2×#121—1221no—
398C2×#121—1221no—
399C2×C4×D4—611no—
400C2×C4×D4—611no—
401C2×#117—611no—
402C2×#117C2×D6111yescharacteristic
403C22×C4⋊C4—611no—
404#501—618no—
405#499—618no—
406#490—618no—
407#486—618no—
408#482—618no—
409#482—618no—
410#481—618no—
411#480—618no—
412#478—618no—
413#478—618no—
414#476—618no—
415#474—618no—
416#433C2×D6118yescomplemented
417C2×#107—611no—
418C2×#107—611no—
419C2×#107—611no—
420C2×#107—611no—
421C2×#106—611no—
422C2×#106—611no—
423C2×#106—611no—
424C2×#106—611no—
425C2×C4⋊C8C2×D6111yescharacteristic
426C2×C4⋊C8C2×D6111yescharacteristic
427C2×#102—611no—
428C2×#102—611no—
429C2×#102—611no—
430C2×#102—611no—
431C2×#102—611no—
432C2×#102—611no—
433C2×#102—611no—
434C2×#102—611no—
435C2×C22⋊C8C2×D6111yescharacteristic
436C2×C22⋊C8C2×D6111yescharacteristic
437C2×#97C2×D6111yescharacteristic
438C2×C4×C8C2×D6111yescharacteristic
439C61C2×#324111yescharacteristic, complemented, Sylow
440C22×Q8—1221no—
441C22×Q8—1221no—
442C22×D4—611no—
443C22×D4—611no—
444C22×D4—1221no—
445C22×D4—1221no—
446C22×D4—1221no—
447C22×D4—1221no—
448C23×C4—1221no—
449C23×C4—1221no—
450C23×C4—1221no—
451C23×C4C22×D6111yescharacteristic
452C22×C8C22×D6111yescharacteristic
453C22×C8C22×D6111yescharacteristic
454C22×C8C22×D6111yescharacteristic
455C22×C8C22×D6111yescharacteristic
456C4⋊Q8—614no—
457C4⋊Q8—614no—
458C4⋊Q8—1228no—
459C4⋊Q8—1222no—
460C4⋊Q8—1222no—
461#127—614no—
462#127—1222no—
463#125—614no—
464#125—614no—
465#125—614no—
466#125—1228no—
467#125—1222no—
468#125—1222no—
469#125—1222no—
470#123—1228no—
471#123—1228no—
472C22⋊Q8—1228no—
473C22⋊Q8—1228no—
474#121—614no—
475#121—614no—
476#121—1222no—
477#121—1222no—
478#121—1228no—
479#121—1228no—
480C4×D4—614no—
481C4×D4—614no—
482C4×D4—1222no—
483C4×D4—1222no—
484#117—614no—
485#117—1222no—
486#117D24414yes—
487#117C22×D6114yes—
488C2×C4⋊C4—611no—
489C2×C4⋊C4—611no—
490C2×C4⋊C4—614no—
491C2×C4⋊C4—611no—
492C2×C4⋊C4—611no—
493C2×C4⋊C4—611no—
494C2×C4⋊C4—611no—
495C2×C4⋊C4—1221no—
496C2×C4⋊C4—1222no—
497C2×C4⋊C4—1221no—
498C2×C4⋊C4—1221no—
499C2×C4⋊C4—1221no—
500C2×C4⋊C4—1221no—
501C2×C4⋊C4—1221no—
502C2×C4⋊C4—1221no—
503C2×C4⋊C4—1221no—
504C2×C4⋊C4—1221no—
505C2×C4⋊C4D24411yescharacteristic
506C2×C4⋊C4D24411yescharacteristic
507C2×C22⋊C4—1221no—
508C2×C22⋊C4—1221no—
509C2×C22⋊C4—1221no—
510C2×C22⋊C4—1221no—
511C2×C22⋊C4—1221no—
512C2×C22⋊C4D24411yescharacteristic
513C2×C22⋊C4D24411yescharacteristic
514C2×C42—1221no—
515C2×C42C22×D6111yescharacteristic
516C2×C42C22×D6111yescharacteristic
517#107—614no—
518#107—614no—
519#107—614no—
520#107—614no—
521#106—614no—
522#106—614no—
523#106—614no—
524#106—614no—
525C4⋊C8C22×D6114yes—
526C4⋊C8C22×D6114yes—
527#102—614no—
528#102—614no—
529#102—614no—
530#102—614no—
531#102—614no—
532#102—614no—
533#102—614no—
534#102—614no—
535C22⋊C8C22×D6114yes—
536C22⋊C8C22×D6114yes—
537#97C22×D6114yes—
538C4×C8C22×D6114yes—
539C24—1221no—
540C24—1221no—
541C24C2×D24411yescharacteristic
542C2×Q8—1224no—
543C2×Q8—1224no—
544C2×Q8—4882no—
545C2×Q8—4882no—
546C2×D4—612no—
547C2×D4—612no—
548C2×D4—1224no—
549C2×D4—1224no—
550C2×D4—1224no—
551C2×D4—1224no—
552C2×D4—1221no—
553C2×D4—1221no—
554C2×D4—1222no—
555C2×D4—1222no—
556C2×D4—1222no—
557C2×D4—1222no—
558C2×D4—4882no—
559C2×D4—4882no—
560C2×D4—4882no—
561C2×D4—4882no—
562C22×C4—22no—
563C22×C4—22no—
564C22×C4—1224no—
565C22×C4—1221no—
566C22×C4—1221no—
567C22×C4—1221no—
568C22×C4—1221no—
569C22×C4—1221no—
570C22×C4—1221no—
571C22×C4—1224no—
572C22×C4—1224no—
573C22×C4—4882no—
574C22×C4—4882no—
575C22×C4—4882no—
576C22×C4C2×D24412yes—
577C22×C4C2×D24411yescharacteristic
578C22×C4C2×D24411yescharacteristic
579C22×C4C2×D24411yescharacteristic
580C22×C4C2×D24411yescharacteristic
581C22×C4C2×D24411yescharacteristic
582C22×C4C23×D6112yes—
583C22×C4C23×D6111yescharacteristic
584C2×C8—22no—
585C2×C8—22no—
586C2×C8—22no—
587C2×C8—22no—
588C2×C8C23×D6112yes—
589C2×C8C23×D6112yes—
590C2×C8C23×D6112yes—
591C2×C8C23×D6112yes—
592C4⋊C4—612no—
593C4⋊C4—612no—
594C4⋊C4—612no—
595C4⋊C4—612no—
596C4⋊C4—612no—
597C4⋊C4—612no—
598C4⋊C4—1224no—
599C4⋊C4—1221no—
600C4⋊C4—1221no—
601C4⋊C4—1221no—
602C4⋊C4—1221no—
603C4⋊C4—1221no—
604C4⋊C4—1221no—
605C4⋊C4—1224no—
606C4⋊C4—1224no—
607C4⋊C4—1224no—
608C4⋊C4—1224no—
609C4⋊C4—1224no—
610C4⋊C4—1224no—
611C4⋊C4—1224no—
612C4⋊C4—1224no—
613C4⋊C4C2×D24414yes—
614C4⋊C4C2×D24414yes—
615C22⋊C4—1224no—
616C22⋊C4—1224no—
617C22⋊C4—1224no—
618C22⋊C4—1224no—
619C22⋊C4—1224no—
620C22⋊C4C2×D24414yes—
621C22⋊C4C2×D24414yes—
622C42—1224no—
623C42C2×D24412yes—
624C42C2×D24412yes—
625C42C23×D6112yes—
626C42C23×D6112yes—
627C23—22no—
628C23—22no—
629C23—22no—
630C23—1222no—
631C23—1222no—
632C23—2442no—
633C23—2442no—
634C23—2442no—
635C23—2442no—
636C23—2442no—
637C23—2442no—
638C23C22×D24412yes—
639C23C22×D24411yescharacteristic
640Q8—4884no—
641Q8—4884no—
642D4—1222no—
643D4—1222no—
644D4—1222no—
645D4—1222no—
646D4—4884no—
647D4—4884no—
648D4—4884no—
649D4—4884no—
650D4—2442no—
651D4—2442no—
652C2×C4—22no—
653C2×C4—22no—
654C2×C4—22no—
655C2×C4—22no—
656C2×C4—22no—
657C2×C4—24no—
658C2×C4—22no—
659C2×C4—22no—
660C2×C4—1222no—
661C2×C4—1222no—
662C2×C4—1222no—
663C2×C4—1222no—
664C2×C4—1222no—
665C2×C4—1222no—
666C2×C4—4884no—
667C2×C4—4884no—
668C2×C4—4884no—
669C2×C4—2442no—
670C2×C4—2442no—
671C2×C4—2442no—
672C2×C4—2442no—
673C2×C4—2442no—
674C2×C4—2442no—
675C2×C4C22×D24412yes—
676C2×C4C22×D24412yes—
677C2×C4C22×D24412yes—
678C2×C4C22×D24412yes—
679C2×C4C22×D24412yes—
680C2×C4C22×D24411yescharacteristic
681C2×C4#1451982412yes—
682C2×C4#1451982412yes—
683C2×C4C24×D6111yescharacteristic
684C8—22no—
685C8—22no—
686C8—22no—
687C8—22no—
688C22—22no—
689C22—22no—
690C22—22no—
691C22—44no—
692C22—4884no—
693C22—4884no—
694C22—2442no—
695C22—2442no—
696C22—2442no—
697C22—2442no—
698C22—2442no—
699C22—2442no—
700C22#1684033812yes—
701C22#1684056712yes—
702C22#1684057412yes—
703C22C23×D24411yescharacteristic
704C4—22no—
705C4—22no—
706C4—22no—
707C4—22no—
708C4—22no—
709C4—2442no—
710C4—2442no—
711C4—2442no—
712C4—2442no—
713C4—2442no—
714C4—2442no—
715C4#1684033812yes—
716C4C2×#1451982411yescharacteristic
717C4C2×#1451982411yescharacteristic
718C2—42no—
719C2—4882no—
720C2—4882no—
721C2#2145707414yesdirect product factor
722C2C2×#1684033811yescharacteristic
723C2C2×#1684056711yescharacteristic
724C2C2×#1684057411yescharacteristic
subgroupG/H
centerC23C22×D244
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC2×C61×#433C2
socleC23×C61C22×D4
prime radicalC2×#16840367C2
hypercenterC2×#433D61
hypocenterC61C2×#3241
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C23 ◁ C2×#117 ◁ C2×#433

Complements

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

NH ≅ G/Ntype
1. C2×#16840390C2semidirect
3. #21457074C2direct (N × H)
4. C2×#16840171C2semidirect
5. C2×#16840164C2semidirect
6. C2×#16840127C2semidirect
7. C2×#16840109C2semidirect
8. C2×#16840081C2semidirect
9. C2×#16840087C2semidirect
10. C2×#16840087C2semidirect
11. C2×#16840076C2semidirect
12. C2×#16840063C2semidirect
13. C2×#16840063C2semidirect
14. C2×#16840053C2semidirect
15. C2×#16840043C2semidirect
16. C2×C61×#433C2semidirect
18. #16840390C22semidirect
41. #16840171C22semidirect
42. #16840164C22semidirect
43. #16840127C22semidirect
44. #16840109C22semidirect
45. #16840087C22semidirect
46. #16840087C22semidirect
47. #16840081C22semidirect
48. #16840076C22semidirect
49. #16840063C22semidirect
50. #16840063C22semidirect
51. #16840053C22semidirect
52. #16840043C22semidirect
70. C61×#433C22semidirect
371. C2×#433D61semidirect
373. C2×C61#3241semidirect
416. #433C2×D61semidirect
439. C61C2×#3241semidirect
721. C2#21457074direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#168403902
C2×#168403672
#214570742
C2×#168401712
C2×#168401642
C2×#168401272
C2×#168401092
C2×#168400812
C2×#168400872
C2×#168400762
C2×#168400632
C2×#168400532
C2×#168400432
C2×C61×#4332
C2×#324161