Finite Group Databasebeta

← C2×#21446274 #29681797

Subgroups — C2×#21446274 #29681797

Order 15616.

2066 conjugacy classes of subgroups.

The subgroup lattice has 744 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#14519758C211yesmaximal, characteristic
2C22×#14519733C211yesmaximal, characteristic, complemented
3C22×#14519692C211yesmaximal, characteristic
4C2×#16839623C211yesmaximal, characteristic, complemented
5#21446274C218yesmaximal, direct product factor
6C2×#16839528C211yesmaximal, characteristic, complemented
7C2×#16839528C211yesmaximal, characteristic, complemented
8C22×#99×C61C211yesmaximal, characteristic
9C24×Dic61C2211yescharacteristic
10C2×#14519758—21no—
11C2×#14519758—21no—
12C2×#14519758—22no—
13C2×#14519758—22no—
14C2×#14519758—22no—
15C2×#14519758C414yescomplemented
16C2×#14519758C2214yes—
17C2×#14519733—24no—
18C2×#14519733—24no—
19C2×#14519733—22no—
20C2×#14519733C2214yescomplemented
21C22×#11758196—21no—
22C22×#11758196C412yescomplemented
23C22×C22⋊Dic61C412yescomplemented
24C22×C22⋊Dic61C2211yescharacteristic
25C22×C22⋊Dic61C2211yescharacteristic
26C22×C22⋊Dic61C2211yescharacteristic
27C22×C4×Dic61—21no—
28C2×#14519692—24no—
29C2×#14519692C2214yes—
30#16839623—22no—
31#16839623C2214yescomplemented
32C2×#14519684—22no—
33#16839528C2214yescomplemented
34#16839528C2214yescomplemented
35C23×D4×C61C2211yescharacteristic
36C22×C22⋊C4×C61C2211yescharacteristic
37C22×C22⋊C4×C61C2211yescharacteristic
38C2×#99×C61—24no—
39C2×#99×C61C2214yes—
40C23×Dic61—22no—
41C23×Dic61—22no—
42C23×Dic61—22no—
43C23×Dic61—22no—
44C23×Dic61—21no—
45C23×Dic61—21no—
46C23×Dic61C2×C412yes—
47C23×Dic61C2×C412yes—
48C23×Dic61C2×C412yes—
49C23×Dic61D411yescharacteristic
50C23×Dic61D411yescharacteristic
51C23×Dic61D412yes—
52C23×Dic61D412yes—
53C23×Dic61D412yes—
54C23×Dic61C2312yes—
55#14519758—24no—
56#14519758—24no—
57#14519758—28no—
58#14519758—28no—
59#14519758—24no—
60#14519758—24no—
61#14519733—216no—
62#14519733—28no—
63#14519733—28no—
64C2×#11758196—28no—
65C2×#11758196—24no—
66C2×#11758196—22no—
67C2×#11758196—22no—
68C2×#11758196—24no—
69C2×#11758196C2×C418yescomplemented
70C2×C22⋊Dic61—21no—
71C2×C22⋊Dic61—22no—
72C2×C22⋊Dic61—21no—
73C2×C22⋊Dic61—21no—
74C2×C22⋊Dic61—21no—
75C2×C22⋊Dic61—21no—
76C2×C22⋊Dic61—24no—
77C2×C22⋊Dic61—22no—
78C2×C22⋊Dic61—22no—
79C2×C22⋊Dic61—22no—
80C2×C22⋊Dic61—22no—
81C2×C22⋊Dic61—21no—
82C2×C22⋊Dic61C2×C412yes—
83C2×C22⋊Dic61C2×C418yescomplemented
84C2×C22⋊Dic61D414yes—
85C2×C22⋊Dic61C2312yes—
86C2×C22⋊Dic61C2312yes—
87C2×C22⋊Dic61C2312yes—
88C2×C4×Dic61—28no—
89C2×C4×Dic61—24no—
90#14519692—28no—
91#14519684—28no—
92C25×C61C2×C411yescharacteristic
93C25×C61C2311yescharacteristic
94C22×D4×C61—22no—
95C22×D4×C61—21no—
96C22×D4×C61—21no—
97C22×D4×C61—21no—
98C22×D4×C61—21no—
99C22×D4×C61—22no—
100C22×D4×C61—22no—
101C22×D4×C61—22no—
102C22×D4×C61C2×C412yes—
103C22×D4×C61C2312yes—
104C23×C4×C61—21no—
105C23×C4×C61—21no—
106C23×C4×C61C2×C411yescharacteristic
107C2×C22⋊C4×C61—21no—
108C2×C22⋊C4×C61—22no—
109C2×C22⋊C4×C61—22no—
110C2×C22⋊C4×C61—22no—
111C2×C22⋊C4×C61—21no—
112C2×C22⋊C4×C61D414yes—
113C2×C22⋊C4×C61C2312yes—
114C2×C22⋊C4×C61C2312yes—
115#99×C61—28no—
116C24×C61—21no—
117C24×C61—21no—
118C24×C61—22no—
119C24×C61—22no—
120C24×C61—44no—
121C24×C61—44no—
122C24×C61C22×C411yescharacteristic
123C24×C61C22×C412yes—
124C24×C61C22×C411yescharacteristic
125C24×C61C2×D411yescharacteristic
126C24×C61C2×D411yescharacteristic
127C24×C61C2×D411yescharacteristic
128C24×C61C2×D411yescharacteristic
129C24×C61C2×D412yes—
130C24×C61C2×D412yes—
131C24×C61#4112yes—
132C24×C61#4112yes—
133C24×C61C2411yescharacteristic
134C2×D4×C61—22no—
135C2×D4×C61—22no—
136C2×D4×C61—24no—
137C2×D4×C61—24no—
138C2×D4×C61—22no—
139C2×D4×C61—22no—
140C2×D4×C61—22no—
141C2×D4×C61—22no—
142C2×D4×C61—22no—
143C2×D4×C61—22no—
144C2×D4×C61—42no—
145C2×D4×C61—42no—
146C2×D4×C61—42no—
147C2×D4×C61—42no—
148C2×D4×C61—42no—
149C2×D4×C61—42no—
150C2×D4×C61—42no—
151C2×D4×C61—42no—
152C22×C4×C61—21no—
153C22×C4×C61—21no—
154C22×C4×C61—22no—
155C22×C4×C61—22no—
156C22×C4×C61—24no—
157C22×C4×C61—22no—
158C22×C4×C61—22no—
159C22×C4×C61—44no—
160C22×C4×C61—44no—
161C22×C4×C61—42no—
162C22×C4×C61C22×C412yes—
163C22×Dic61—24no—
164C22×Dic61—24no—
165C22×Dic61—24no—
166C22×Dic61—24no—
167C22×Dic61—22no—
168C22×Dic61—22no—
169C22×Dic61—24no—
170C22×Dic61—24no—
171C22×Dic61—24no—
172C22×Dic61—24no—
173C22×Dic61—24no—
174C22×Dic61—22no—
175C22×Dic61—22no—
176C22×Dic61—24no—
177C22×Dic61—22no—
178C22×Dic61—22no—
179C22×Dic61—22no—
180C22×Dic61—22no—
181C22×Dic61—22no—
182C22×Dic61—22no—
183C22×Dic61—24no—
184C22×Dic61—22no—
185C22×Dic61—22no—
186C22×Dic61—44no—
187C22×Dic61—44no—
188C22×Dic61—44no—
189C22×Dic61—42no—
190C22×Dic61C22⋊C414yes—
191C22×Dic61C22⋊C412yes—
192C22×Dic61C22⋊C412yes—
193C22×Dic61C22⋊C412yes—
194C22×Dic61C22⋊C412yes—
195C22×Dic61C22⋊C414yes—
196C22×Dic61C22×C414yes—
197C22×Dic61C22×C414yes—
198C22×Dic61C2×D414yes—
199C22×Dic61C2×D412yes—
200C22×Dic61C2×D412yes—
201C22⋊C4×C61—24no—
202C22⋊C4×C61—22no—
203C22⋊C4×C61—22no—
204C22⋊C4×C61—22no—
205C22⋊C4×C61—42no—
206C22⋊C4×C61C2×D414yes—
207C22⋊Dic61—22no—
208C22⋊Dic61—22no—
209C22⋊Dic61—24no—
210C22⋊Dic61—22no—
211C22⋊Dic61—22no—
212C22⋊Dic61—22no—
213C22⋊Dic61—28no—
214C22⋊Dic61—28no—
215C22⋊Dic61—22no—
216C22⋊Dic61—22no—
217C22⋊Dic61—42no—
218C22⋊Dic61C2×D414yes—
219#11758196—216no—
220#11758196—28no—
221#11758196—28no—
222C4×Dic61—216no—
223C23×C61—24no—
224C23×C61—24no—
225C23×C61—24no—
226C23×C61—22no—
227C23×C61—22no—
228C23×C61—22no—
229C23×C61—42no—
230C23×C61—42no—
231C23×C61—42no—
232C23×C61—44no—
233C23×C61—44no—
234C23×C61—44no—
235C23×C61—44no—
236C23×C61—42no—
237C23×C61—44no—
238C23×C61—44no—
239C23×C61—42no—
240C23×C61—42no—
241C23×C61—44no—
242C23×C61—84no—
243C23×C61—84no—
244C23×C61C2×C22⋊C411yescharacteristic
245C23×C61C2×C22⋊C411yescharacteristic
246C23×C61C2×C22⋊C411yescharacteristic
247C23×C61C2×C22⋊C411yescharacteristic
248C23×C61C4×D412yes—
249C23×C61C4×D412yes—
250C23×C61C4×D412yes—
251C23×C61C4×D412yes—
252C23×C61#12012yes—
253C23×C61#12012yes—
254C23×C61#12112yes—
255C23×C61#12112yes—
256C23×C61#12112yes—
257C23×C61#12112yes—
258C23×C61#12312yes—
259C23×C61#12312yes—
260C23×C61C23×C411yescharacteristic
261C23×C61C22×D411yescharacteristic
262C23×C61C22×D411yescharacteristic
263C23×C61C22×D411yescharacteristic
264C23×C61C22×D411yescharacteristic
265C23×C61C2×#4111yescharacteristic
266C23×C61C2×#4111yescharacteristic
267D4×C61—42no—
268D4×C61—42no—
269D4×C61—42no—
270D4×C61—42no—
271D4×C61—44no—
272D4×C61—44no—
273C2×C4×C61—22no—
274C2×C4×C61—22no—
275C2×C4×C61—22no—
276C2×C4×C61—24no—
277C2×C4×C61—44no—
278C2×C4×C61—48no—
279C2×C4×C61—42no—
280C2×C4×C61—42no—
281C2×C4×C61—44no—
282C2×C4×C61—42no—
283C2×C4×C61—84no—
284C2×Dic61—24no—
285C2×Dic61—24no—
286C2×Dic61—22no—
287C2×Dic61—22no—
288C2×Dic61—24no—
289C2×Dic61—24no—
290C2×Dic61—22no—
291C2×Dic61—22no—
292C2×Dic61—28no—
293C2×Dic61—24no—
294C2×Dic61—24no—
295C2×Dic61—28no—
296C2×Dic61—24no—
297C2×Dic61—24no—
298C2×Dic61—24no—
299C2×Dic61—24no—
300C2×Dic61—44no—
301C2×Dic61—48no—
302C2×Dic61—44no—
303C2×Dic61—44no—
304C2×Dic61—44no—
305C2×Dic61—44no—
306C2×Dic61—42no—
307C2×Dic61—84no—
308C2×Dic61C2×C22⋊C414yes—
309C2×Dic61C2×C22⋊C414yes—
310C2×#1899—611nomaximal, Sylow
311C22×C61—22no—
312C22×C61—22no—
313C22×C61—22no—
314C22×C61—22no—
315C22×C61—22no—
316C22×C61—22no—
317C22×C61—24no—
318C22×C61—24no—
319C22×C61—24no—
320C22×C61—24no—
321C22×C61—24no—
322C22×C61—24no—
323C22×C61—42no—
324C22×C61—42no—
325C22×C61—42no—
326C22×C61—42no—
327C22×C61—42no—
328C22×C61—42no—
329C22×C61—41no—
330C22×C61—41no—
331C22×C61—41no—
332C22×C61—41no—
333C22×C61—44no—
334C22×C61—42no—
335C22×C61—82no—
336C22×C61—82no—
337C22×C61—84no—
338C22×C61—84no—
339C22×C61#38612yes—
340C22×C61#38612yes—
341C22×C61#38612yes—
342C22×C61#38612yes—
343C22×C61#41014yes—
344C22×C61C22×C22⋊C411yescharacteristic
345C22×C61C2×C4×D411yescharacteristic
346C22×C61C2×C4×D411yescharacteristic
347C22×C61C2×#12011yescharacteristic
348C22×C61C2×#12111yescharacteristic
349C22×C61C2×#12111yescharacteristic
350C22×C61C2×#12311yescharacteristic
351C4×C61—44no—
352C4×C61—42no—
353C4×C61—82no—
354Dic61—24no—
355Dic61—24no—
356Dic61—44no—
357Dic61—44no—
358Dic61—82no—
359C22×#123—611no—
360C22×#117—611no—
361C22×#99—611no—
362C22×#99D6111yescharacteristic
363C2×#381—611no—
364#1899—618no—
365C2×#342—611no—
366C2×#342—611no—
367C2×C61—21no—
368C2×C61—21no—
369C2×C61—21no—
370C2×C61—21no—
371C2×C61—21no—
372C2×C61—22no—
373C2×C61—21no—
374C2×C61—22no—
375C2×C61—22no—
376C2×C61—82no—
377C2×C61#189914yescomplemented
378C2×C61C2×#38611yescharacteristic
379C2×C61C2×#41012yes—
380C23×D4C2×D6111yescharacteristic
381C24×C4—611no—
382C2×#123—614no—
383C2×#123—614no—
384C2×#123—1221no—
385C2×#123—1222no—
386C2×#123—1222no—
387C2×#123—1222no—
388C2×#123—1221no—
389C2×#117—614no—
390C2×#117—1224no—
391C2×#117—1222no—
392C2×#117—1224no—
393C22×C4⋊C4—612no—
394C22×C4⋊C4—1221no—
395C22×C22⋊C4—611no—
396C22×C22⋊C4—612no—
397C22×C22⋊C4—611no—
398C22×C22⋊C4—611no—
399C22×C22⋊C4C2×D6111yescharacteristic
400C22×C22⋊C4C2×D6111yescharacteristic
401C22×C42—1221no—
402C2×#99—24no—
403C2×#99—614no—
404C2×#99—1224no—
405C2×#99C2×D6114yes—
406#381—614no—
407#381—1222no—
408C2×#95—1222no—
409#342—614no—
410#342—614no—
411C61C2×#189911yescharacteristic, complemented, Sylow
412C25C4×D6111yescharacteristic
413C25C22×D6111yescharacteristic
414C22×D4—22no—
415C22×D4—21no—
416C22×D4—21no—
417C22×D4—21no—
418C22×D4—21no—
419C22×D4—22no—
420C22×D4—22no—
421C22×D4—22no—
422C22×D4C4×D6112yes—
423C22×D4C22×D6112yes—
424C23×C4—21no—
425C23×C4—21no—
426C23×C4—612no—
427C23×C4—612no—
428C23×C4—611no—
429C23×C4—612no—
430C23×C4—612no—
431C23×C4—612no—
432C23×C4—611no—
433C23×C4—612no—
434C23×C4—612no—
435C23×C4—1222no—
436C23×C4—1222no—
437C23×C4—1222no—
438C23×C4—1222no—
439C23×C4—1221no—
440C23×C4—1221no—
441C23×C4C4×D6111yescharacteristic
442#123—1228no—
443#123—1224no—
444#123—1224no—
445#123—1224no—
446#123—1228no—
447#123—1224no—
448#117—1228no—
449#117—12216no—
450#117—1228no—
451C2×C4⋊C4—618no—
452C2×C4⋊C4—1224no—
453C2×C4⋊C4—1222no—
454C2×C4⋊C4—1222no—
455C2×C4⋊C4—1224no—
456C2×C4⋊C4—1228no—
457C2×C22⋊C4—22no—
458C2×C22⋊C4—21no—
459C2×C22⋊C4—22no—
460C2×C22⋊C4—22no—
461C2×C22⋊C4—21no—
462C2×C22⋊C4—614no—
463C2×C22⋊C4—612no—
464C2×C22⋊C4—612no—
465C2×C22⋊C4—618no—
466C2×C22⋊C4—612no—
467C2×C22⋊C4—612no—
468C2×C22⋊C4—1224no—
469C2×C22⋊C4—1222no—
470C2×C22⋊C4—1222no—
471C2×C22⋊C4—1221no—
472C2×C22⋊C4—1221no—
473C2×C22⋊C4—1221no—
474C2×C22⋊C4—1221no—
475C2×C22⋊C4—1221no—
476C2×C22⋊C4—1222no—
477C2×C22⋊C4—1222no—
478C2×C22⋊C4—1222no—
479C2×C22⋊C4—1221no—
480C2×C22⋊C4C22⋊D6114yes—
481C2×C22⋊C4C22×D6112yes—
482C2×C22⋊C4C22×D6112yes—
483C2×C42—1224no—
484C2×C42—1228no—
485#99—28no—
486#99—1228no—
487#95—1228no—
488C24—21no—
489C24—21no—
490C24—22no—
491C24—22no—
492C24—44no—
493C24—44no—
494C24C2×C4×D6111yescharacteristic
495C24C2×C4×D6112yes—
496C24C2×C4×D6111yescharacteristic
497C24#1175822212yes—
498C24D4×D6111yescharacteristic
499C24D4×D6111yescharacteristic
500C24D4×D6111yescharacteristic
501C24D4×D6111yescharacteristic
502C24D4×D6112yes—
503C24#1175822412yes—
504C24C2×C22⋊D6112yes—
505C24C23×D6111yescharacteristic
506C2×D4—22no—
507C2×D4—22no—
508C2×D4—22no—
509C2×D4—22no—
510C2×D4—22no—
511C2×D4—22no—
512C2×D4—22no—
513C2×D4—22no—
514C2×D4—24no—
515C2×D4—24no—
516C2×D4—42no—
517C2×D4—42no—
518C2×D4—42no—
519C2×D4—42no—
520C2×D4—42no—
521C2×D4—42no—
522C2×D4—42no—
523C2×D4—42no—
524C22×C4—22no—
525C22×C4—21no—
526C22×C4—21no—
527C22×C4—22no—
528C22×C4—22no—
529C22×C4—24no—
530C22×C4—22no—
531C22×C4—44no—
532C22×C4—44no—
533C22×C4—42no—
534C22×C4—614no—
535C22×C4—614no—
536C22×C4—612no—
537C22×C4—612no—
538C22×C4—614no—
539C22×C4—612no—
540C22×C4—614no—
541C22×C4—612no—
542C22×C4—612no—
543C22×C4—612no—
544C22×C4—614no—
545C22×C4—1222no—
546C22×C4—1222no—
547C22×C4—1222no—
548C22×C4—1222no—
549C22×C4—1224no—
550C22×C4—1224no—
551C22×C4—1224no—
552C22×C4—1224no—
553C22×C4—1222no—
554C22×C4—1222no—
555C22×C4—1224no—
556C22×C4—1224no—
557C22×C4—1224no—
558C22×C4—1224no—
559C22×C4—1224no—
560C22×C4—1222no—
561C22×C4—1222no—
562C22×C4—1224no—
563C22×C4—1222no—
564C22×C4—1222no—
565C22×C4—1222no—
566C22×C4—1224no—
567C22×C4—1222no—
568C22×C4—2444no—
569C22×C4—2442no—
570C22×C4—2444no—
571C22×C4—2444no—
572C22×C4C2×C4×D6112yes—
573C4⋊C4—1228no—
574C4⋊C4—1228no—
575C4⋊C4—12216no—
576C22⋊C4—22no—
577C22⋊C4—24no—
578C22⋊C4—22no—
579C22⋊C4—22no—
580C22⋊C4—42no—
581C22⋊C4—614no—
582C22⋊C4—1228no—
583C22⋊C4—1228no—
584C22⋊C4—1222no—
585C22⋊C4—1222no—
586C22⋊C4—1222no—
587C22⋊C4—1222no—
588C22⋊C4—1222no—
589C22⋊C4—1224no—
590C22⋊C4—1222no—
591C22⋊C4—1222no—
592C22⋊C4—2442no—
593C22⋊C4C2×C22⋊D6114yes—
594C42—12216no—
595C23—24no—
596C23—24no—
597C23—24no—
598C23—22no—
599C23—22no—
600C23—22no—
601C23—42no—
602C23—44no—
603C23—44no—
604C23—42no—
605C23—42no—
606C23—44no—
607C23—44no—
608C23—42no—
609C23—44no—
610C23—44no—
611C23—44no—
612C23—42no—
613C23—42no—
614C23—84no—
615C23—84no—
616C23C22⋊C4×D6111yescharacteristic
617C23C22⋊C4×D6111yescharacteristic
618C23C22⋊C4×D6111yescharacteristic
619C23C22⋊C4×D6111yescharacteristic
620C23#1451973712yes—
621C23#1451973712yes—
622C23C4×C22⋊D6112yes—
623C23C4×C22⋊D6112yes—
624C23#1451974512yes—
625C23#1451974512yes—
626C23#1451974812yes—
627C23#1451974812yes—
628C23#1451975012yes—
629C23#1451975012yes—
630C23#1451975912yes—
631C23#1451975912yes—
632C23C22×C4×D6111yescharacteristic
633C23C2×D4×D6111yescharacteristic
634C23C2×D4×D6111yescharacteristic
635C23C2×D4×D6111yescharacteristic
636C23C22×C22⋊D6111yescharacteristic
637C23C2×#1175822411yescharacteristic
638C23C2×#1175822211yescharacteristic
639D4—42no—
640D4—42no—
641D4—42no—
642D4—42no—
643D4—44no—
644D4—44no—
645C2×C4—22no—
646C2×C4—22no—
647C2×C4—22no—
648C2×C4—24no—
649C2×C4—48no—
650C2×C4—44no—
651C2×C4—42no—
652C2×C4—42no—
653C2×C4—44no—
654C2×C4—42no—
655C2×C4—84no—
656C2×C4—614no—
657C2×C4—614no—
658C2×C4—1224no—
659C2×C4—1224no—
660C2×C4—1222no—
661C2×C4—1222no—
662C2×C4—1224no—
663C2×C4—1224no—
664C2×C4—1222no—
665C2×C4—1222no—
666C2×C4—1228no—
667C2×C4—1224no—
668C2×C4—1224no—
669C2×C4—1228no—
670C2×C4—1224no—
671C2×C4—1224no—
672C2×C4—1224no—
673C2×C4—1224no—
674C2×C4—4884no—
675C2×C4—2444no—
676C2×C4—2442no—
677C2×C4—2448no—
678C2×C4—2444no—
679C2×C4—2444no—
680C2×C4—2444no—
681C2×C4—2444no—
682C22—24no—
683C22—24no—
684C22—24no—
685C22—24no—
686C22—24no—
687C22—24no—
688C22—22no—
689C22—22no—
690C22—22no—
691C22—22no—
692C22—22no—
693C22—22no—
694C22—41no—
695C22—41no—
696C22—41no—
697C22—41no—
698C22—42no—
699C22—42no—
700C22—42no—
701C22—42no—
702C22—42no—
703C22—42no—
704C22—42no—
705C22—44no—
706C22—82no—
707C22—82no—
708C22—84no—
709C22—84no—
710C22#1683963812yes—
711C22#1683963812yes—
712C22#1683963812yes—
713C22#1683963812yes—
714C22#1683973414yes—
715C22C2×C22⋊C4×D6111yescharacteristic
716C22C2×#1451973711yescharacteristic
717C22C2×C4×C22⋊D6111yescharacteristic
718C22C2×#1451974511yescharacteristic
719C22C2×#1451974811yescharacteristic
720C22C2×#1451975011yescharacteristic
721C22C2×#1451975911yescharacteristic
722C4—44no—
723C4—42no—
724C4—82no—
725C4—1224no—
726C4—1224no—
727C4—4882no—
728C4—2444no—
729C4—2444no—
730C2—21no—
731C2—21no—
732C2—21no—
733C2—21no—
734C2—21no—
735C2—22no—
736C2—21no—
737C2—22no—
738C2—22no—
739C2—82no—
740C2#2144627414yesdirect product factor
741C2C2×#1683963811yescharacteristic
742C2C2×#1683973412yes—
subgroupG/H
centerC23C22⋊C4×D61
commutatorC23×C61C23×C4
FrattiniC24C23×D61
FittingC22×#99×C61C2
socleC23×C61C2×C22⋊C4
prime radicalC23×D4×C61C22
cosocleC24×C61C24
hypercenterC22×#99D61
hypocenterC61C2×#1899
LCSG ▷ C23×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C23 ◁ C25 ◁ C22×#99

Complements

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

NH ≅ G/Ntype
2. C22×#14519733C2semidirect
4. C2×#16839623C2semidirect
5. #21446274C2direct (N × H)
6. C2×#16839528C2semidirect
7. C2×#16839528C2semidirect
15. C2×#14519758C4semidirect
20. C2×#14519733C22semidirect
22. C22×#11758196C4semidirect
23. C22×C22⋊Dic61C4semidirect
31. #16839623C22semidirect
33. #16839528C22semidirect
34. #16839528C22semidirect
69. C2×#11758196C2×C4semidirect
83. C2×C22⋊Dic61C2×C4semidirect
377. C2×C61#1899semidirect
411. C61C2×#1899semidirect
740. C2#21446274direct (N × H)

Maximal subgroups

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

subgroupindex
C22×#145197582
C22×#145197332
C22×#145196922
C2×#168396232
#214462742
C2×#168395282
C22×#99×C612
C2×#189961