Finite Group Databasebeta

← #29683760

Subgroups — #29683760

Order 15616.

1658 conjugacy classes of subgroups.

The subgroup lattice has 742 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16840308C211yesmaximal, characteristic
2C2×#16839736C211yesmaximal, characteristic, complemented
3C2×#16839735C211yesmaximal, characteristic, complemented
4C2×#16839735C211yesmaximal, characteristic, complemented
5#21448222C211yesmaximal, characteristic, complemented
6#117×Dic61C211yesmaximal, characteristic, complemented
7#21446653C218yesmaximal, complemented
8C2×C61×#410C211yesmaximal, characteristic, complemented
9C22×#11758222C2211yescharacteristic
10#16840308—21no—
11#16840308—21no—
12#16840308—22no—
13#16840308—22no—
14#16840308—21no—
15#16840308—21no—
16C2×#14519775C411yescharacteristic, complemented
17C2×#14519773C411yescharacteristic, complemented
18C2×#14519766C411yescharacteristic, complemented
19C2×#14519764C411yescharacteristic, complemented
20C2×#14519749C2214yes—
21C2×C4×C22⋊D61C414yescomplemented
22C2×#14519736C2211yescharacteristic
23C2×#14519736C2211yescharacteristic
24C22×C4×Dic61C2211yescharacteristic
25#16839736—24no—
26#16839735—24no—
27#16839735—24no—
28C2×#14519692C2214yes—
29C2×#14519691C2214yes—
30C2×#14519691C2214yes—
31#16839631—21no—
32#16839627—21no—
33#16839620C2214yes—
34C4⋊C4×Dic61—22no—
35C4×#11758196—22no—
36C22⋊C4×Dic61C2214yes—
37#16839608—21no—
38C42×Dic61—21no—
39C22×#41×C61C2211yescharacteristic
40C2×#117×C61C2211yescharacteristic
41C2×#117×C61C2211yescharacteristic
42C61×#410—24no—
43C2×#99×C61C2214yes—
44C2×#11758222—22no—
45C2×#11758222—22no—
46C2×#11758222—21no—
47C2×#11758222—21no—
48C2×#11758222—21no—
49C2×#11758222—21no—
50C2×#11758222—22no—
51C2×#11758222—22no—
52C22×Dic122C2×C411yescharacteristic
53C22×D244C2×C411yescharacteristic
54C22×C22⋊D61C2×C414yes—
55C22×C22⋊D61C2312yes—
56C23×Dic61C2312yes—
57C22×C4×D61C2×C412yes—
58#14519775—21no—
59#14519775—22no—
60#14519775—21no—
61#14519773—21no—
62#14519773—22no—
63#14519773—21no—
64#14519766—21no—
65#14519766—21no—
66#14519766—22no—
67#14519764—21no—
68#14519764—21no—
69#14519764—22no—
70#14519749—24no—
71#14519749—24no—
72#14519749—24no—
73#14519749—24no—
74C4×C22⋊D61—24no—
75C4×C22⋊D61—24no—
76C4×C22⋊D61—24no—
77C4×C22⋊D61—24no—
78#14519736—22no—
79#14519736—22no—
80#14519736—22no—
81#14519736D414yescomplemented
82C2×C4⋊Dic61—21no—
83C2×C4⋊Dic61—21no—
84C2×#11758196—24no—
85C2×#11758196C2×C414yes—
86C2×C22⋊Dic61C2×C414yes—
87C2×C22⋊Dic61C2312yes—
88C2×C22⋊Dic61C2312yes—
89C2×#11758198C2×C414yes—
90C2×C4×Dic61—21no—
91C2×C4×Dic61—21no—
92C2×C4×Dic61—24no—
93C2×C4×Dic61C2×C412yes—
94C2×C4×Dic61C2×C411yescharacteristic
95C2×C4×Dic61C2×C411yescharacteristic
96C2×C4×Dic61D411yescharacteristic
97C2×C4×Dic61D411yescharacteristic
98C2×C4×Dic61D412yes—
99C2×C4×Dic61D412yes—
100C2×C4×Dic61D411yescharacteristic
101C2×C4×Dic61D411yescharacteristic
102#14519692—28no—
103#14519691—28no—
104#14519691—28no—
105#14519684—24no—
106#14519684—24no—
107C2×#41×C61—22no—
108C2×#41×C61—21no—
109C2×#41×C61—21no—
110C2×#41×C61—21no—
111C2×#41×C61—21no—
112C2×#41×C61—22no—
113C2×#41×C61—22no—
114C2×#41×C61—22no—
115C22×Q8×C61C2×C411yescharacteristic
116C22×D4×C61C2×C411yescharacteristic
117C22×D4×C61C2312yes—
118C23×C4×C61C2×C412yes—
119C23×C4×C61C2311yescharacteristic
120#117×C61—22no—
121#117×C61—22no—
122#117×C61—22no—
123#117×C61D414yescomplemented
124C2×C4⋊C4×C61—21no—
125C2×C4⋊C4×C61—21no—
126C2×C22⋊C4×C61C2312yes—
127C2×C22⋊C4×C61C2312yes—
128C2×C42×C61—21no—
129C2×C42×C61—21no—
130#99×C61—28no—
131C24×C61C22×C412yes—
132C24×C61C2411yescharacteristic
133C23×D61C22×C412yes—
134#41×C61—42no—
135#41×C61—42no—
136#41×C61—42no—
137#41×C61—42no—
138#41×C61—42no—
139#41×C61—42no—
140#41×C61—42no—
141#41×C61—42no—
142C2×Q8×C61—21no—
143C2×Q8×C61—21no—
144C2×Q8×C61—22no—
145C2×Q8×C61—22no—
146C2×D4×C61—22no—
147C2×D4×C61—22no—
148C2×D4×C61—22no—
149C2×D4×C61—22no—
150C2×D4×C61—22no—
151C2×D4×C61—22no—
152C2×D4×C61—21no—
153C2×D4×C61—21no—
154C2×D4×C61—22no—
155C2×D4×C61—22no—
156C22×C4×C61—22no—
157C22×C4×C61—22no—
158C22×C4×C61—22no—
159C22×C4×C61—24no—
160C22×C4×C61—24no—
161C22×C4×C61—22no—
162C22×C4×C61C22×C412yes—
163C22×C4×C61C22×C411yescharacteristic
164C22×C4×C61C22×C411yescharacteristic
165C22×C4×C61C2×D411yescharacteristic
166C22×C4×C61C2×D411yescharacteristic
167C22×C4×C61C2×D411yescharacteristic
168C22×C4×C61C2×D411yescharacteristic
169C22×C4×C61C2×D412yes—
170C22×C4×C61C2×D412yes—
171C22×C4×C61#4112yes—
172C22×C4×C61#4112yes—
173C2×C22⋊D61—22no—
174C2×C22⋊D61—22no—
175C2×C22⋊D61—22no—
176C2×C22⋊D61—22no—
177C2×C22⋊D61—22no—
178C2×C22⋊D61—22no—
179C2×C22⋊D61—24no—
180C2×C22⋊D61—24no—
181C2×C22⋊D61—48no—
182C22×Dic61—22no—
183C22×Dic61—22no—
184C22×Dic61—44no—
185C22×Dic61C22×C412yes—
186C22×Dic61C22×C412yes—
187C22×Dic61C22×C412yes—
188C22×Dic61C2×D412yes—
189C22×Dic61C2×D412yes—
190C22×Dic61C2×D412yes—
191C22×Dic61C2×D412yes—
192#11758222—42no—
193#11758222—42no—
194#11758222—42no—
195#11758222—42no—
196#11758222—42no—
197#11758222—42no—
198#11758222—42no—
199#11758222—42no—
200C2×D244—21no—
201C2×D244—21no—
202C2×D244—22no—
203C2×D244—22no—
204C2×C4×D61—22no—
205C2×C4×D61—22no—
206C2×C4×D61—24no—
207C2×C4×D61—24no—
208C2×Dic122—21no—
209C2×Dic122—21no—
210C2×Dic122—22no—
211C2×Dic122—22no—
212C4⋊C4×C61—24no—
213C4⋊C4×C61—42no—
214C22⋊C4×C61—22no—
215C22⋊C4×C61—22no—
216C22⋊C4×C61—22no—
217C22⋊C4×C61C2×D414yes—
218C42×C61—24no—
219C42×C61—42no—
220C22⋊Dic61—22no—
221C22⋊Dic61—24no—
222C22⋊Dic61—24no—
223C22⋊Dic61—22no—
224C22⋊Dic61—22no—
225C22⋊Dic61C2×D414yes—
226#11758198—24no—
227#11758198—24no—
228C4⋊Dic61—24no—
229C4⋊Dic61—42no—
230#11758196—24no—
231#11758196—24no—
232#11758196—48no—
233C4×Dic61—24no—
234C4×Dic61—48no—
235C4×Dic61—42no—
236C4×Dic61C22⋊C412yes—
237C4×Dic61C22⋊C412yes—
238C4×Dic61C22⋊C412yes—
239C4×Dic61C22⋊C412yes—
240C4×Dic61C22⋊C411yescharacteristic
241C4×Dic61C22⋊C411yescharacteristic
242C4×Dic61C22⋊C412yes—
243C4×Dic61C22⋊C411yescharacteristic
244C4×Dic61C22⋊C412yes—
245C4×Dic61C22⋊C411yescharacteristic
246C23×C61—22no—
247C23×C61—22no—
248C23×C61—22no—
249C23×C61—42no—
250C23×C61—44no—
251C23×C61C23×C411yescharacteristic
252C23×C61C22×D411yescharacteristic
253C23×C61C22×D411yescharacteristic
254C23×C61C22×D411yescharacteristic
255C23×C61C22×D411yescharacteristic
256C23×C61C2×#4111yescharacteristic
257C23×C61C2×#4111yescharacteristic
258C22×D61—22no—
259C22×D61—22no—
260C22×D61—22no—
261C22×D61—44no—
262Q8×C61—42no—
263Q8×C61—42no—
264D4×C61—42no—
265D4×C61—42no—
266D4×C61—42no—
267D4×C61—42no—
268D4×C61—42no—
269D4×C61—42no—
270C2×C4×C61—22no—
271C2×C4×C61—22no—
272C2×C4×C61—22no—
273C2×C4×C61—24no—
274C2×C4×C61—44no—
275C2×C4×C61—44no—
276C2×C4×C61—44no—
277C2×C4×C61—44no—
278C2×C4×C61—42no—
279C2×C4×C61C2×C22⋊C411yescharacteristic
280C2×C4×C61C2×C22⋊C411yescharacteristic
281C2×C4×C61C2×C22⋊C411yescharacteristic
282C2×C4×C61C2×C22⋊C411yescharacteristic
283C2×C4×C61C4×D412yes—
284C2×C4×C61C4×D412yes—
285C2×C4×C61C4×D412yes—
286C2×C4×C61C4×D412yes—
287C2×C4×C61#12112yes—
288C2×C4×C61#12112yes—
289C2×C4×C61#12112yes—
290C2×C4×C61#12112yes—
291C2×C4×C61#12412yes—
292C2×C4×C61#12412yes—
293C2×C4×C61#12712yes—
294C2×C4×C61#12712yes—
295C22⋊D61—48no—
296C22⋊D61—42no—
297C22⋊D61—42no—
298C22⋊D61—42no—
299C22⋊D61—42no—
300C22⋊D61—48no—
301C2×Dic61—24no—
302C2×Dic61—24no—
303C2×Dic61—24no—
304C2×Dic61—22no—
305C2×Dic61—22no—
306C2×Dic61—22no—
307C2×Dic61—24no—
308C2×Dic61—42no—
309C2×Dic61—42no—
310C2×Dic61—42no—
311C2×Dic61—44no—
312C2×Dic61—44no—
313C2×Dic61—42no—
314C2×Dic61C2×C22⋊C412yes—
315C2×Dic61C2×C22⋊C412yes—
316C2×Dic61C2×C22⋊C412yes—
317C2×Dic61C2×C22⋊C412yes—
318D244—42no—
319D244—42no—
320C4×D61—44no—
321C4×D61—44no—
322Dic122—42no—
323Dic122—42no—
324#21212—611nomaximal, Sylow
325C22×C61—22no—
326C22×C61—22no—
327C22×C61—22no—
328C22×C61—41no—
329C22×C61—41no—
330C22×C61—41no—
331C22×C61—41no—
332C22×C61—44no—
333C22×C61—42no—
334C22×C61—82no—
335C22×C61—82no—
336C22×C61C22×C22⋊C411yescharacteristic
337C22×C61C2×C4×D411yescharacteristic
338C22×C61C2×C4×D411yescharacteristic
339C22×C61C2×#12111yescharacteristic
340C22×C61C2×#12111yescharacteristic
341C22×C61C2×#12411yescharacteristic
342C22×C61C2×#12711yescharacteristic
343C2×D61—44no—
344C2×D61—42no—
345C2×D61—82no—
346C2×D61—82no—
347C4×C61—44no—
348C4×C61—42no—
349C4×C61—82no—
350C4×C61#39012yes—
351C4×C61#39012yes—
352C4×C61#39012yes—
353C4×C61#39012yes—
354Dic61—22no—
355Dic61—22no—
356Dic61—22no—
357Dic61—44no—
358Dic61—42no—
359Dic61—82no—
360Dic61#41014yescomplemented
361C2×#532—611no—
362C2×#410—611no—
363C2×#410—611no—
364C2×#410—611no—
365C2×#410D6111yescharacteristic, complemented
366#2285—611no—
367C4×#117—611no—
368#1964—618no—
369C2×C61—21no—
370C2×C61—21no—
371C2×C61—21no—
372C2×C61—21no—
373C2×C61—21no—
374C2×C61—21no—
375C2×C61—82no—
376C2×C61C2×#39011yescharacteristic
377C2×C61C2×#41012yes—
378D61—82no—
379C22×#41—611no—
380C22×#41C2×D6111yescharacteristic
381#532—1221no—
382#532—1221no—
383#532—1222no—
384#532—1222no—
385#532—1221no—
386#532—1221no—
387C2×C4⋊Q8—611no—
388C2×#127—611no—
389C2×#124—611no—
390C2×#124—611no—
391C2×#121—614no—
392C2×C4×D4—614no—
393C2×#117—611no—
394C2×#117—611no—
395C2×#117C2×D6111yescharacteristic
396C2×#117C2×D6111yescharacteristic
397C22×C42—611no—
398#410—24no—
399#410—1224no—
400#410—1224no—
401#410—1224no—
402C2×#99—614no—
403C2×#99—614no—
404C2×#99—614no—
405C2×#99C2×D6114yes—
406#384—1221no—
407#382—1221no—
408#380—614no—
409C4×C4⋊C4—1222no—
410C4×C4⋊C4—1222no—
411C4×C22⋊C4—614no—
412#376—1221no—
413C43—1221no—
414C61#2121211yescharacteristic, complemented, Sylow
415C2×#41—22no—
416C2×#41—21no—
417C2×#41—21no—
418C2×#41—21no—
419C2×#41—21no—
420C2×#41—22no—
421C2×#41—22no—
422C2×#41—22no—
423C2×#41—1222no—
424C2×#41—1221no—
425C2×#41—1221no—
426C2×#41—1221no—
427C2×#41—1221no—
428C2×#41—1222no—
429C2×#41—1222no—
430C2×#41—1222no—
431C22×Q8—611no—
432C22×Q8C4×D6111yescharacteristic
433C22×D4—612no—
434C22×D4—614no—
435C22×D4—611no—
436C22×D4C4×D6111yescharacteristic
437C22×D4C22×D6112yes—
438C23×C4—612no—
439C23×C4—612no—
440C23×C4C4×D6112yes—
441C23×C4C22×D6111yescharacteristic
442C4⋊Q8—1221no—
443C4⋊Q8—1222no—
444C4⋊Q8—1221no—
445#127—1221no—
446#127—1222no—
447#127—1221no—
448#124—1221no—
449#124—1221no—
450#124—1222no—
451#124—1221no—
452#124—1221no—
453#124—1222no—
454#121—1224no—
455#121—1224no—
456#121—1224no—
457#121—1224no—
458C4×D4—1224no—
459C4×D4—1224no—
460C4×D4—1224no—
461C4×D4—1224no—
462#117—22no—
463#117—22no—
464#117—22no—
465#117—614no—
466#117—1222no—
467#117—1222no—
468#117—1222no—
469#117C22⋊D6114yescomplemented
470C2×C4⋊C4—21no—
471C2×C4⋊C4—21no—
472C2×C4⋊C4—614no—
473C2×C4⋊C4—1221no—
474C2×C4⋊C4—1224no—
475C2×C4⋊C4—1221no—
476C2×C22⋊C4—612no—
477C2×C22⋊C4—614no—
478C2×C22⋊C4—614no—
479C2×C22⋊C4—612no—
480C2×C22⋊C4C22×D6112yes—
481C2×C22⋊C4C22×D6112yes—
482C2×C42—21no—
483C2×C42—21no—
484C2×C42—612no—
485C2×C42—611no—
486C2×C42—611no—
487C2×C42—611no—
488C2×C42—611no—
489C2×C42—612no—
490C2×C42—612no—
491C2×C42—611no—
492C2×C42—611no—
493C2×C42—1221no—
494C2×C42—1224no—
495C2×C42—1221no—
496#99—28no—
497#99—1228no—
498#99—1228no—
499#99—1228no—
500#95—1224no—
501#95—1224no—
502C24—612no—
503C24C2×C4×D6112yes—
504C24C23×D6111yescharacteristic
505#41—42no—
506#41—42no—
507#41—42no—
508#41—42no—
509#41—42no—
510#41—42no—
511#41—42no—
512#41—42no—
513#41—2442no—
514#41—2442no—
515#41—2442no—
516#41—2442no—
517#41—2442no—
518#41—2442no—
519#41—2442no—
520#41—2442no—
521C2×Q8—21no—
522C2×Q8—21no—
523C2×Q8—22no—
524C2×Q8—22no—
525C2×Q8—1221no—
526C2×Q8—1221no—
527C2×Q8—1222no—
528C2×Q8—1222no—
529C2×D4—22no—
530C2×D4—22no—
531C2×D4—22no—
532C2×D4—22no—
533C2×D4—22no—
534C2×D4—22no—
535C2×D4—21no—
536C2×D4—21no—
537C2×D4—22no—
538C2×D4—22no—
539C2×D4—1224no—
540C2×D4—1224no—
541C2×D4—1222no—
542C2×D4—1222no—
543C2×D4—1222no—
544C2×D4—1222no—
545C2×D4—1222no—
546C2×D4—1222no—
547C2×D4—1221no—
548C2×D4—1221no—
549C2×D4—1222no—
550C2×D4—1222no—
551C2×D4—2448no—
552C22×C4—22no—
553C22×C4—22no—
554C22×C4—22no—
555C22×C4—24no—
556C22×C4—24no—
557C22×C4—22no—
558C22×C4—612no—
559C22×C4—612no—
560C22×C4—612no—
561C22×C4—612no—
562C22×C4—612no—
563C22×C4—612no—
564C22×C4—612no—
565C22×C4—1222no—
566C22×C4—1222no—
567C22×C4—1222no—
568C22×C4—1224no—
569C22×C4—1224no—
570C22×C4—1222no—
571C22×C4—2444no—
572C22×C4C2×C4×D6112yes—
573C22×C4C2×C4×D6111yescharacteristic
574C22×C4C2×C4×D6111yescharacteristic
575C22×C4#1175822212yes—
576C22×C4D4×D6111yescharacteristic
577C22×C4D4×D6111yescharacteristic
578C22×C4D4×D6111yescharacteristic
579C22×C4D4×D6111yescharacteristic
580C22×C4D4×D6112yes—
581C22×C4#1175822412yes—
582C22×C4C2×C22⋊D6112yes—
583C4⋊C4—24no—
584C4⋊C4—42no—
585C4⋊C4—1224no—
586C4⋊C4—1224no—
587C4⋊C4—1224no—
588C4⋊C4—2448no—
589C4⋊C4—2442no—
590C22⋊C4—22no—
591C22⋊C4—22no—
592C22⋊C4—22no—
593C22⋊C4—614no—
594C22⋊C4—1224no—
595C22⋊C4—1224no—
596C22⋊C4—1224no—
597C22⋊C4—1224no—
598C22⋊C4—1222no—
599C22⋊C4—1222no—
600C22⋊C4—1222no—
601C22⋊C4C2×C22⋊D6114yes—
602C42—24no—
603C42—42no—
604C42—612no—
605C42—612no—
606C42—611no—
607C42—611no—
608C42—612no—
609C42—611no—
610C42—612no—
611C42—611no—
612C42—612no—
613C42—612no—
614C42—1224no—
615C42—2448no—
616C42—2442no—
617C23—22no—
618C23—22no—
619C23—22no—
620C23—42no—
621C23—44no—
622C23—1222no—
623C23—1222no—
624C23—1222no—
625C23—2444no—
626C23C22×C4×D6111yescharacteristic
627C23C2×D4×D6111yescharacteristic
628C23C2×D4×D6111yescharacteristic
629C23C2×D4×D6111yescharacteristic
630C23C22×C22⋊D6111yescharacteristic
631C23C2×#1175822411yescharacteristic
632C23C2×#1175822211yescharacteristic
633Q8—42no—
634Q8—42no—
635Q8—2442no—
636Q8—2442no—
637D4—42no—
638D4—42no—
639D4—42no—
640D4—42no—
641D4—42no—
642D4—42no—
643D4—2448no—
644D4—2448no—
645D4—2442no—
646D4—2442no—
647D4—2442no—
648D4—2442no—
649D4—2442no—
650D4—2442no—
651C2×C4—22no—
652C2×C4—22no—
653C2×C4—22no—
654C2×C4—24no—
655C2×C4—44no—
656C2×C4—44no—
657C2×C4—44no—
658C2×C4—44no—
659C2×C4—42no—
660C2×C4—612no—
661C2×C4—612no—
662C2×C4—612no—
663C2×C4—612no—
664C2×C4—1224no—
665C2×C4—1224no—
666C2×C4—1224no—
667C2×C4—1222no—
668C2×C4—1222no—
669C2×C4—1222no—
670C2×C4—1224no—
671C2×C4—2442no—
672C2×C4—2442no—
673C2×C4—2442no—
674C2×C4—2444no—
675C2×C4—2442no—
676C2×C4—2444no—
677C2×C4—2444no—
678C2×C4—2444no—
679C2×C4C22⋊C4×D6111yescharacteristic
680C2×C4C22⋊C4×D6111yescharacteristic
681C2×C4C22⋊C4×D6111yescharacteristic
682C2×C4C22⋊C4×D6111yescharacteristic
683C2×C4#1451973712yes—
684C2×C4#1451973712yes—
685C2×C4C4×C22⋊D6112yes—
686C2×C4C4×C22⋊D6112yes—
687C2×C4#1451974912yes—
688C2×C4#1451974912yes—
689C2×C4#1451975012yes—
690C2×C4#1451975012yes—
691C2×C4#1451976312yes—
692C2×C4#1451976312yes—
693C2×C4#1451977312yes—
694C2×C4#1451977312yes—
695C22—22no—
696C22—22no—
697C22—22no—
698C22—41no—
699C22—41no—
700C22—41no—
701C22—41no—
702C22—42no—
703C22—44no—
704C22—82no—
705C22—82no—
706C22—4882no—
707C22—4882no—
708C22—2442no—
709C22—2444no—
710C22C2×C22⋊C4×D6111yescharacteristic
711C22C2×#1451973711yescharacteristic
712C22C2×C4×C22⋊D6111yescharacteristic
713C22C2×#1451974911yescharacteristic
714C22C2×#1451975011yescharacteristic
715C22C2×#1451976311yescharacteristic
716C22C2×#1451977311yescharacteristic
717C4—44no—
718C4—42no—
719C4—82no—
720C4—614no—
721C4—1222no—
722C4—1222no—
723C4—1222no—
724C4—4882no—
725C4—2444no—
726C4—2442no—
727C4#1683966212yes—
728C4#1683966212yes—
729C4#1683966212yes—
730C4#1683966212yes—
731C2—21no—
732C2—21no—
733C2—21no—
734C2—21no—
735C2—21no—
736C2—21no—
737C2—82no—
738C2—4882no—
739C2C2×#1683966211yescharacteristic
740C2#410×D6112yes—
subgroupG/H
centerC2×C4C22⋊C4×D61
commutatorC23×C61C23×C4
FrattiniC24C23×D61
FittingC2×C61×#410C2
socleC22×C61C22×C22⋊C4
prime radicalC2×#16840308C2
cosocleC24×C61C24
hypercenterC2×#410D61
hypocenterC61#21212
LCSG ▷ C23×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C2×C4 ◁ C23×C4 ◁ C2×#410

Complements

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

NH ≅ G/Ntype
2. C2×#16839736C2semidirect
3. C2×#16839735C2semidirect
4. C2×#16839735C2semidirect
5. #21448222C2semidirect
6. #117×Dic61C2semidirect
7. #21446653C2semidirect
8. C2×C61×#410C2semidirect
16. C2×#14519775C4semidirect
17. C2×#14519773C4semidirect
18. C2×#14519766C4semidirect
19. C2×#14519764C4semidirect
21. C2×C4×C22⋊D61C4semidirect
81. #14519736D4semidirect
123. #117×C61D4semidirect
360. Dic61#410semidirect
365. C2×#410D61semidirect
414. C61#21212semidirect
469. #117C22⋊D61semidirect

Maximal subgroups

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

subgroupindex
C2×#168403082
C2×#168397362
C2×#168397352
#214482222
#117×Dic612
#214466532
C2×C61×#4102
#2121261