Finite Group Databasebeta

← #29611264

Subgroups — #29611264

Order 15616.

3366 conjugacy classes of subgroups.

The subgroup lattice has 756 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#14519752C211yesmaximal, characteristic
2C22×C42×D61C211yesmaximal, characteristic, complemented
3C2×#16839664C211yesmaximal, characteristic, complemented
4C2×#16839663C211yesmaximal, characteristic, complemented
5C2×#16839640C214yesmaximal, complemented
6C2×#16839619C211yesmaximal, characteristic, complemented
7#21444055C214yesmaximal, complemented
8#21444048C211yesmaximal, characteristic, complemented
9C61×C4⋊#95C211yesmaximal, characteristic, complemented
10C23×D244C2212yes—
11C23×D244C2211yescharacteristic
12C23×C4×D61C2212yes—
13C23×C4×D61C2211yescharacteristic
14C2×#14519752—24no—
15C2×#14519752—24no—
16C2×#14519752C418yescomplemented
17C22×C4⋊Dic61C2211yescharacteristic
18C22×#11758198C2212yes—
19C22×#11758198C2214yes—
20C22×#11758198C2214yes—
21C22×#11758198C2212yes—
22C22×C4×Dic61C2212yes—
23C22×C4×Dic61C2211yescharacteristic
24C2×C42×D61—24no—
25C2×C42×D61—24no—
26C2×C42×D61—24no—
27#16839664—24no—
28#16839663—24no—
29#16839640—216no—
30#16839619—24no—
31C2×#14519684C2214yes—
32C2×#14519684C2212yes—
33C22×C4⋊C4×C61C2211yescharacteristic
34C22×C4⋊C4×C61C2211yescharacteristic
35C22×C42×C61C2211yescharacteristic
36C2×#95×C61C2214yes—
37C24×D61C2312yes—
38C24×D61C2311yescharacteristic
39C22×D244—24no—
40C22×D244—24no—
41C22×D244—28no—
42C22×D244—28no—
43C22×D244—22no—
44C22×D244—22no—
45C22×D244—22no—
46C22×D244—22no—
47C22×D244—22no—
48C22×D244—22no—
49C22×D244C2×C418yes—
50C22×D244C2×C414yescomplemented
51C23×Dic61C2312yes—
52C23×Dic61C2311yescharacteristic
53C23×Dic61C2312yes—
54C22×C4×D61—24no—
55C22×C4×D61—24no—
56C22×C4×D61—24no—
57C22×C4×D61—22no—
58C22×C4×D61—22no—
59C22×C4×D61—22no—
60C22×C4×D61—24no—
61C22×C4×D61—22no—
62C22×C4×D61—24no—
63C22×C4×D61—24no—
64C22×C4×D61C2×C414yes—
65C22×C4×D61D414yes—
66C22×C4×D61D414yes—
67C22×C4×D61D418yescomplemented
68#14519752—232no—
69C2×C4⋊Dic61—22no—
70C2×C4⋊Dic61—22no—
71C2×C4⋊Dic61—22no—
72C2×#11758198—24no—
73C2×#11758198—24no—
74C2×#11758198—24no—
75C2×#11758198—28no—
76C2×#11758198—28no—
77C2×#11758198—28no—
78C2×#11758198—28no—
79C2×#11758198—28no—
80C2×#11758198—28no—
81C2×#11758198—28no—
82C2×#11758198C2×C418yescomplemented
83C2×C4×Dic61—24no—
84C2×C4×Dic61—22no—
85C2×C4×Dic61—22no—
86C2×C4×Dic61—24no—
87C2×C4×Dic61—24no—
88C2×C4×Dic61D414yescomplemented
89C42×D61—232no—
90#14519684—24no—
91#14519684—28no—
92C23×C4×C61C2312yes—
93C23×C4×C61C2312yes—
94C23×C4×C61C2312yes—
95C23×C4×C61C2311yescharacteristic
96C2×C4⋊C4×C61—22no—
97C2×C4⋊C4×C61—22no—
98C2×C4⋊C4×C61—22no—
99C2×C4⋊C4×C61—22no—
100C2×C4⋊C4×C61—22no—
101C2×C4⋊C4×C61C2×C414yescomplemented
102C2×C42×C61—22no—
103C2×C42×C61—22no—
104C2×C42×C61D414yescomplemented
105#95×C61—28no—
106C24×C61C2411yescharacteristic
107C23×D61—21no—
108C23×D61—21no—
109C23×D61—21no—
110C23×D61—21no—
111C23×D61—22no—
112C23×D61—22no—
113C23×D61—22no—
114C23×D61—22no—
115C23×D61—22no—
116C23×D61—22no—
117C23×D61—24no—
118C23×D61—22no—
119C23×D61—22no—
120C23×D61—24no—
121C23×D61—24no—
122C23×D61—24no—
123C23×D61C22×C414yes—
124C23×D61C22×C412yes—
125C23×D61C2×D412yes—
126C23×D61C2×D412yes—
127C23×D61C2×D414yes—
128C23×D61#4114yes—
129C22×C4×C61—22no—
130C22×C4×C61—22no—
131C22×C4×C61—22no—
132C22×C4×C61—22no—
133C22×C4×C61—24no—
134C22×C4×C61—22no—
135C22×C4×C61—22no—
136C22×C4×C61—24no—
137C22×C4×C61—24no—
138C22×C4×C61—22no—
139C22×C4×C61—22no—
140C22×C4×C61—22no—
141C22×C4×C61—24no—
142C22×C4×C61C22×C414yes—
143C22×C4×C61C22×C412yes—
144C22×C4×C61C2×D414yes—
145C22×C4×C61C2×D414yes—
146C22×C4×C61C2×D412yes—
147C22×C4×C61C2×D412yes—
148C22×C4×C61C2×D412yes—
149C22×C4×C61C2×D412yes—
150C22×C4×C61#4114yes—
151C22×C4×C61#4112yes—
152C22×C4×C61#4112yes—
153C22×Dic61—21no—
154C22×Dic61—21no—
155C22×Dic61—22no—
156C22×Dic61—22no—
157C22×Dic61—21no—
158C22×Dic61—21no—
159C22×Dic61—22no—
160C22×Dic61—22no—
161C22×Dic61—24no—
162C22×Dic61—22no—
163C22×Dic61—22no—
164C22×Dic61—24no—
165C22×Dic61—22no—
166C22×Dic61C22×C412yes—
167C22×Dic61C2×D412yes—
168C22×Dic61C2×D412yes—
169C22×Dic61C2×D414yes—
170C22×Dic61C2×D414yes—
171C22×Dic61#4114yes—
172C2×D244—216no—
173C2×D244—232no—
174C2×D244—28no—
175C2×D244—28no—
176C2×D244—28no—
177C2×D244—416no—
178C2×D244—48no—
179C2×D244—48no—
180C2×D244—44no—
181C2×D244—44no—
182C2×D244—44no—
183C2×D244—44no—
184C2×C4×D61—216no—
185C2×C4×D61—216no—
186C2×C4×D61—216no—
187C2×C4×D61—216no—
188C2×C4×D61—216no—
189C2×C4×D61—28no—
190C2×C4×D61—28no—
191C2×C4×D61—28no—
192C2×C4×D61—28no—
193C2×C4×D61—28no—
194C2×C4×D61—216no—
195C2×C4×D61—28no—
196C2×C4×D61—216no—
197C2×C4×D61C22⋊C4116yescomplemented
198C4⋊C4×C61—28no—
199C4⋊C4×C61—44no—
200C42×C61—28no—
201#11758198—216no—
202#11758198—48no—
203#11758198—416no—
204#11758198—416no—
205C4⋊Dic61—44no—
206C4×Dic61—216no—
207C4×Dic61—28no—
208C23×C61C23×C411yescharacteristic
209C23×C61C22×D411yescharacteristic
210C23×C61C22×D411yescharacteristic
211C23×C61C22×D411yescharacteristic
212C23×C61C22×D411yescharacteristic
213C23×C61C22×D412yes—
214C23×C61C2×#4111yescharacteristic
215C23×C61C2×#4111yescharacteristic
216C23×C61C2×#4112yes—
217C23×C61C2×#4112yes—
218C23×C61C2×#4112yes—
219C22×D61—22no—
220C22×D61—22no—
221C22×D61—24no—
222C22×D61—22no—
223C22×D61—24no—
224C22×D61—24no—
225C22×D61—22no—
226C22×D61—22no—
227C22×D61—22no—
228C22×D61—24no—
229C22×D61—24no—
230C22×D61—24no—
231C22×D61—24no—
232C22×D61—24no—
233C22×D61—22no—
234C22×D61—22no—
235C22×D61—24no—
236C22×D61—24no—
237C22×D61—24no—
238C22×D61—24no—
239C22×D61—24no—
240C22×D61—28no—
241C22×D61—28no—
242C22×D61—42no—
243C22×D61—44no—
244C22×D61—44no—
245C22×D61—42no—
246C22×D61—42no—
247C22×D61—44no—
248C22×D61—42no—
249C22×D61—44no—
250C22×D61—44no—
251C22×D61—44no—
252C22×D61—42no—
253C22×D61—44no—
254C22×D61—44no—
255C22×D61—42no—
256C22×D61—42no—
257C22×D61—42no—
258C22×D61—44no—
259C22×D61—44no—
260C22×D61C2×C22⋊C414yes—
261C22×D61C4×D418yes—
262C22×D61#12118yes—
263C22×D61#12414yes—
264C22×D61#12714yes—
265C2×C4×C61—24no—
266C2×C4×C61—24no—
267C2×C4×C61—24no—
268C2×C4×C61—24no—
269C2×C4×C61—24no—
270C2×C4×C61—24no—
271C2×C4×C61—24no—
272C2×C4×C61—28no—
273C2×C4×C61—44no—
274C2×C4×C61—42no—
275C2×C4×C61—42no—
276C2×C4×C61—44no—
277C2×C4×C61—42no—
278C2×C4×C61—42no—
279C2×C4×C61—44no—
280C2×C4×C61—42no—
281C2×C4×C61C2×C22⋊C414yes—
282C2×C4×C61C4×D414yes—
283C2×C4×C61C4×D414yes—
284C2×C4×C61#12014yes—
285C2×C4×C61#12114yes—
286C2×C4×C61#12114yes—
287C2×C4×C61#12118yescomplemented
288C2×C4×C61#12314yes—
289C2×Dic61—22no—
290C2×Dic61—22no—
291C2×Dic61—24no—
292C2×Dic61—22no—
293C2×Dic61—24no—
294C2×Dic61—24no—
295C2×Dic61—22no—
296C2×Dic61—22no—
297C2×Dic61—22no—
298C2×Dic61—24no—
299C2×Dic61—24no—
300C2×Dic61—24no—
301C2×Dic61—42no—
302C2×Dic61—44no—
303C2×Dic61—42no—
304C2×Dic61—42no—
305C2×Dic61—44no—
306C2×Dic61C2×C22⋊C414yes—
307C2×Dic61#12118yescomplemented
308D244—432no—
309D244—416no—
310C4×D61—264no—
311C4×D61—232no—
312#14698—611nomaximal, Sylow
313C22×C61C22×C22⋊C411yescharacteristic
314C22×C61C2×C4×D412yes—
315C22×C61C2×C4×D411yescharacteristic
316C22×C61C2×C4×D411yescharacteristic
317C22×C61C4×#4112yes—
318C22×C61C2×#12011yescharacteristic
319C22×C61C2×#12112yes—
320C22×C61C2×#12112yes—
321C22×C61C2×#12111yescharacteristic
322C22×C61C2×#12112yes—
323C22×C61C2×#12111yescharacteristic
324C22×C61C2×#12311yescharacteristic
325C22×C61#52512yes—
326C22×C61#52512yes—
327C22×C61#52512yes—
328C22×C61C2×#12411yescharacteristic
329C22×C61#52912yes—
330C22×C61#52912yes—
331C22×C61C2×#12711yescharacteristic
332C22×C61#53212yes—
333C22×C61#53211yescharacteristic
334C22×C61#53211yescharacteristic
335C22×C61#53212yes—
336C2×D61—28no—
337C2×D61—24no—
338C2×D61—24no—
339C2×D61—28no—
340C2×D61—24no—
341C2×D61—24no—
342C2×D61—24no—
343C2×D61—24no—
344C2×D61—28no—
345C2×D61—28no—
346C2×D61—44no—
347C2×D61—44no—
348C2×D61—44no—
349C2×D61—48no—
350C2×D61—48no—
351C2×D61—84no—
352C2×D61—82no—
353C2×D61—82no—
354C2×D61—84no—
355C2×D61—82no—
356C2×D61—82no—
357C2×D61#39018yescomplemented
358C4×C61—28no—
359C4×C61—44no—
360C4×C61—82no—
361C4×C61#38618yescomplemented
362Dic61—28no—
363Dic61—24no—
364Dic61—82no—
365C22×#121—611no—
366C23×C42—611no—
367C2×#390—611no—
368C2×#390—611no—
369C2×#386—614no—
370C2×#380—611no—
371#1437—614no—
372C4⋊#95—611no—
373C4⋊#95D6111yescharacteristic, complemented
374C2×C61C2×#38611yescharacteristic
375C2×C61C2×#39011yescharacteristic
376C2×C61#229711yescharacteristic
377C2×C61C4×#12112yes—
378C2×C61C4×#12112yes—
379C2×C61#284712yes—
380C2×C61#285011yescharacteristic
381C2×C61#285011yescharacteristic
382C2×C61#285412yes—
383C2×C61#285611yescharacteristic
384C2×C61#285611yescharacteristic
385D61—28no—
386D61—84no—
387C23×D4—612no—
388C23×D4—611no—
389C24×C4—611no—
390C24×C4—612no—
391C2×#121—618no—
392C2×#121—1224no—
393C2×#121—1224no—
394C22×C4⋊C4—611no—
395C22×C4⋊C4C2×D6111yescharacteristic
396C22×C4⋊C4C2×D6111yescharacteristic
397C22×C22⋊C4—612no—
398C22×C22⋊C4—614no—
399C22×C22⋊C4—614no—
400C22×C22⋊C4—612no—
401C22×C42—611no—
402C22×C42—612no—
403C22×C42—1224no—
404C22×C42—1224no—
405C22×C42—1224no—
406C22×C42C2×D6111yescharacteristic
407#390—1224no—
408#390—1224no—
409#386—12216no—
410#380—1224no—
411C2×#95—614no—
412C2×#95—612no—
413C2×#95C2×D6114yes—
414C61#1469811yescharacteristic, complemented, Sylow
415C25—611no—
416C25—612no—
417C22×D4—618no—
418C22×D4—614no—
419C22×D4—1224no—
420C22×D4—1224no—
421C22×D4—1228no—
422C22×D4—1228no—
423C22×D4—1222no—
424C22×D4—1222no—
425C22×D4—1222no—
426C22×D4—1222no—
427C22×D4—1222no—
428C22×D4—1222no—
429C23×C4—611no—
430C23×C4—612no—
431C23×C4—614no—
432C23×C4—614no—
433C23×C4—614no—
434C23×C4—618no—
435C23×C4—612no—
436C23×C4—1224no—
437C23×C4—1224no—
438C23×C4—1224no—
439C23×C4—1224no—
440C23×C4—1224no—
441C23×C4—1222no—
442C23×C4—1222no—
443C23×C4—1222no—
444C23×C4—1224no—
445C23×C4—1222no—
446C23×C4C22×D6112yes—
447C23×C4C22×D6112yes—
448C23×C4C22×D6112yes—
449C23×C4C22×D6111yescharacteristic
450#121—12232no—
451C2×C4⋊C4—22no—
452C2×C4⋊C4—22no—
453C2×C4⋊C4—22no—
454C2×C4⋊C4—22no—
455C2×C4⋊C4—22no—
456C2×C4⋊C4—1222no—
457C2×C4⋊C4—1222no—
458C2×C4⋊C4—1222no—
459C2×C4⋊C4C4×D6114yescomplemented
460C2×C22⋊C4—618no—
461C2×C22⋊C4—1224no—
462C2×C22⋊C4—1224no—
463C2×C22⋊C4—1228no—
464C2×C22⋊C4—1228no—
465C2×C22⋊C4—1228no—
466C2×C22⋊C4—1224no—
467C2×C22⋊C4—1228no—
468C2×C22⋊C4—1228no—
469C2×C22⋊C4—1228no—
470C2×C22⋊C4—1228no—
471C2×C42—22no—
472C2×C42—22no—
473C2×C42—614no—
474C2×C42—12232no—
475C2×C42—1224no—
476C2×C42—1224no—
477C2×C42—1224no—
478C2×C42—1222no—
479C2×C42—1222no—
480C2×C42D24414yescomplemented
481#95—28no—
482#95—1224no—
483#95—1228no—
484C24—612no—
485C24—612no—
486C24—614no—
487C24—612no—
488C24—614no—
489C24—614no—
490C24—1221no—
491C24—1221no—
492C24—1222no—
493C24—1221no—
494C24—1221no—
495C24—1222no—
496C24—1224no—
497C24—1222no—
498C24—1222no—
499C24—1222no—
500C24—1222no—
501C24—1224no—
502C24—1224no—
503C24—1222no—
504C24—1224no—
505C24—1222no—
506C24C23×D6111yescharacteristic
507C2×D4—12216no—
508C2×D4—12232no—
509C2×D4—1228no—
510C2×D4—1228no—
511C2×D4—1228no—
512C2×D4—24416no—
513C2×D4—2448no—
514C2×D4—2448no—
515C2×D4—2444no—
516C2×D4—2444no—
517C2×D4—2444no—
518C2×D4—2444no—
519C22×C4—22no—
520C22×C4—22no—
521C22×C4—22no—
522C22×C4—22no—
523C22×C4—24no—
524C22×C4—22no—
525C22×C4—22no—
526C22×C4—24no—
527C22×C4—24no—
528C22×C4—22no—
529C22×C4—22no—
530C22×C4—24no—
531C22×C4—22no—
532C22×C4—612no—
533C22×C4—612no—
534C22×C4—614no—
535C22×C4—614no—
536C22×C4—612no—
537C22×C4—614no—
538C22×C4—6116no—
539C22×C4—12216no—
540C22×C4—12216no—
541C22×C4—12216no—
542C22×C4—12216no—
543C22×C4—12216no—
544C22×C4—12216no—
545C22×C4—1221no—
546C22×C4—1222no—
547C22×C4—1221no—
548C22×C4—1222no—
549C22×C4—1222no—
550C22×C4—1221no—
551C22×C4—1221no—
552C22×C4—1222no—
553C22×C4—1228no—
554C22×C4—1228no—
555C22×C4—1228no—
556C22×C4—1228no—
557C22×C4—1228no—
558C22×C4—12216no—
559C22×C4—1228no—
560C22×C4—1224no—
561C22×C4—1222no—
562C22×C4—1222no—
563C22×C4—1224no—
564C22×C4—1222no—
565C22×C4C2×C4×D6114yes—
566C22×C4C2×C4×D6112yes—
567C22×C4C2×D24414yes—
568C22×C4C2×D24412yes—
569C22×C4#1175822212yes—
570C22×C4D4×D6114yes—
571C22×C4D4×D6112yes—
572C22×C4D4×D6112yes—
573C22×C4D4×D6112yes—
574C22×C4#1175822614yes—
575C22×C4#1175822612yes—
576C4⋊C4—28no—
577C4⋊C4—44no—
578C4⋊C4—2444no—
579C22⋊C4—12216no—
580C22⋊C4—24416no—
581C22⋊C4—2448no—
582C22⋊C4—24416no—
583C42—28no—
584C42—12216no—
585C42—1228no—
586C23—614no—
587C23—618no—
588C23—618no—
589C23—614no—
590C23—614no—
591C23—1222no—
592C23—1222no—
593C23—1224no—
594C23—1222no—
595C23—1224no—
596C23—1222no—
597C23—1224no—
598C23—1222no—
599C23—1222no—
600C23—1224no—
601C23—1224no—
602C23—1224no—
603C23—1224no—
604C23—1224no—
605C23—1224no—
606C23—1222no—
607C23—1222no—
608C23—1224no—
609C23—1224no—
610C23—1228no—
611C23—1224no—
612C23—1224no—
613C23—1228no—
614C23—2442no—
615C23—2444no—
616C23—2444no—
617C23—2442no—
618C23—2444no—
619C23—2442no—
620C23—2442no—
621C23—2444no—
622C23—2444no—
623C23—2444no—
624C23—2442no—
625C23—2444no—
626C23—2444no—
627C23—2442no—
628C23—2444no—
629C23—2442no—
630C23—2442no—
631C23—2444no—
632C23C22×C4×D6111yescharacteristic
633C23C2×D4×D6111yescharacteristic
634C23C2×D4×D6111yescharacteristic
635C23C2×D4×D6112yes—
636C23C2×D4×D6111yescharacteristic
637C23C22×D24411yescharacteristic
638C23#41×D6112yes—
639C23#41×D6112yes—
640C23C2×#1175822211yescharacteristic
641C23C2×#1175822611yescharacteristic
642C23C2×#1175822612yes—
643D4—24432no—
644D4—24416no—
645C2×C4—24no—
646C2×C4—24no—
647C2×C4—24no—
648C2×C4—24no—
649C2×C4—24no—
650C2×C4—24no—
651C2×C4—24no—
652C2×C4—28no—
653C2×C4—44no—
654C2×C4—42no—
655C2×C4—42no—
656C2×C4—44no—
657C2×C4—42no—
658C2×C4—42no—
659C2×C4—44no—
660C2×C4—42no—
661C2×C4—614no—
662C2×C4—618no—
663C2×C4—12264no—
664C2×C4—1222no—
665C2×C4—1222no—
666C2×C4—1224no—
667C2×C4—1222no—
668C2×C4—1224no—
669C2×C4—1222no—
670C2×C4—1224no—
671C2×C4—1222no—
672C2×C4—1222no—
673C2×C4—1224no—
674C2×C4—1224no—
675C2×C4—1224no—
676C2×C4—12232no—
677C2×C4—2444no—
678C2×C4—2442no—
679C2×C4—2442no—
680C2×C4—2442no—
681C2×C4—2444no—
682C2×C4C22⋊C4×D6114yes—
683C2×C4#1451973914yes—
684C2×C4C4×D24414yes—
685C2×C4#1451974714yes—
686C2×C4#1451975014yes—
687C2×C4#1451975214yes—
688C2×C4#1451975218yescomplemented
689C2×C4#1451976214yes—
690C22—618no—
691C22—1228no—
692C22—1224no—
693C22—1224no—
694C22—1224no—
695C22—1228no—
696C22—1224no—
697C22—1224no—
698C22—1224no—
699C22—1228no—
700C22—1228no—
701C22—4884no—
702C22—4882no—
703C22—4882no—
704C22—4884no—
705C22—4882no—
706C22—4882no—
707C22—2444no—
708C22—2444no—
709C22—2444no—
710C22—2448no—
711C22—2448no—
712C22C2×C22⋊C4×D6111yescharacteristic
713C22C4×D4×D6112yes—
714C22C2×#1451973911yescharacteristic
715C22C2×C4×D24411yescharacteristic
716C22C4×#1175822612yes—
717C22C2×#1451974711yescharacteristic
718C22#121×D6112yes—
719C22#121×D6112yes—
720C22C2×#1451975011yescharacteristic
721C22C2×#1451975212yes—
722C22C2×#1451975211yescharacteristic
723C22C2×#1451976211yescharacteristic
724C22#1684027412yes—
725C22#1684027512yes—
726C22#1684027512yes—
727C22#124×D6111yescharacteristic
728C22#1684029712yes—
729C22#1684029912yes—
730C22#127×D6111yescharacteristic
731C22#1684030912yes—
732C22#1684031111yescharacteristic
733C22#1684031311yescharacteristic
734C22#1684031312yes—
735C4—28no—
736C4—44no—
737C4—82no—
738C4—1228no—
739C4—1224no—
740C4—4882no—
741C4#1683964018yescomplemented
742C2—1228no—
743C2—4884no—
744C2C2×#1683964011yescharacteristic
745C2#390×D6111yescharacteristic
746C2#2144830811yescharacteristic
747C2#2144832712yes—
748C2C4×#1451975212yes—
749C2#2145410212yes—
750C2#2145412111yescharacteristic
751C2#2145412311yescharacteristic
752C2#2145415212yes—
753C2#2145416311yescharacteristic
754C2#2145416511yescharacteristic
subgroupG/H
center, FrattiniC24C23×D61
commutatorC23×C61C23×C4
FittingC61×C4⋊#95C2
socle, cosocleC24×C61C24
prime radicalC22×#14519752C2
hypercenterC4⋊#95D61
hypocenterC61#14698
LCSG ▷ C23×C61 ▷ C61
UCSC1 ◁ C24 ◁ C4⋊#95

Complements

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

NH ≅ G/Ntype
2. C22×C42×D61C2semidirect
3. C2×#16839664C2semidirect
4. C2×#16839663C2semidirect
5. C2×#16839640C2semidirect
6. C2×#16839619C2semidirect
7. #21444055C2semidirect
8. #21444048C2semidirect
9. C61×C4⋊#95C2semidirect
16. C2×#14519752C4semidirect
50. C22×D244C2×C4semidirect
67. C22×C4×D61D4semidirect
82. C2×#11758198C2×C4semidirect
88. C2×C4×Dic61D4semidirect
101. C2×C4⋊C4×C61C2×C4semidirect
104. C2×C42×C61D4semidirect
197. C2×C4×D61C22⋊C4semidirect
287. C2×C4×C61#121semidirect
307. C2×Dic61#121semidirect
357. C2×D61#390semidirect
361. C4×C61#386semidirect
373. C4⋊#95D61semidirect
414. C61#14698semidirect
459. C2×C4⋊C4C4×D61semidirect
480. C2×C42D244semidirect
688. C2×C4#14519752semidirect
741. C4#16839640semidirect

Maximal subgroups

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

subgroupindex
C22×#145197522
C22×C42×D612
C2×#168396642
C2×#168396632
C2×#168396402
C2×#168396192
#214440552
#214440482
C61×C4⋊#952
#1469861