Finite Group Databasebeta

← #29686397

Subgroups — #29686397

Order 15616.

1120 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×#16839957C211yesmaximal, characteristic
2C2×#16839872C211yesmaximal, characteristic, complemented
3C2×C4×#11758199C211yesmaximal, characteristic, complemented
4#21448544C211yesmaximal, characteristic, complemented
5#21446746C211yesmaximal, characteristic, complemented
6#21446587C211yesmaximal, characteristic, complemented
7#21446446C211yesmaximal, characteristic, complemented
8#21446439C211yesmaximal, characteristic, complemented
9#21446167C211yesmaximal, characteristic, complemented
10#21446167C211yesmaximal, characteristic, complemented
11#21445829C211yesmaximal, characteristic, complemented
12#21445676C211yesmaximal, characteristic, complemented
13#21445647C211yesmaximal, characteristic, complemented
14C4×#14519697C211yesmaximal, characteristic, complemented
15C61×#2275C211yesmaximal, characteristic, complemented
16C22×#11758199C2211yescharacteristic
17C22×#11758199C2211yescharacteristic
18C2×#14519774C2211yescharacteristic
19C2×C4×D244C2211yescharacteristic
20C2×C4×D244C2211yescharacteristic
21#16839957C418yescomplemented
22#16839872—24no—
23C4×#11758199—24no—
24C2×#14519710C2211yescharacteristic
25C2×#14519708C2211yescharacteristic
26C2×C4⋊#92418C2211yescharacteristic
27C2×C4⋊#92418C2211yescharacteristic
28C2×#14519698C2211yescharacteristic
29C2×#14519698C2211yescharacteristic
30C2×#14519697C2211yescharacteristic
31C2×#14519697C2211yescharacteristic
32C2×#14519697C2211yescharacteristic
33C2×#14519697C2211yescharacteristic
34C2×#14519697C2211yescharacteristic
35C2×#14519697C2211yescharacteristic
36C2×#14519688C2211yescharacteristic
37C2×C4×#92418C2211yescharacteristic
38#16839664C2211yescharacteristic
39#16839664C2211yescharacteristic
40#16839640—21no—
41#16839640—21no—
42#16839640—21no—
43#16839640—21no—
44#16839628C2211yescharacteristic
45#16839524C2211yescharacteristic
46#16839524C2211yescharacteristic
47#16839524C2211yescharacteristic
48#16839524C2211yescharacteristic
49#16839517C2211yescharacteristic
50#16839517C2211yescharacteristic
51C2×C4×D4×C61C2211yescharacteristic
52C2×C4×D4×C61C2211yescharacteristic
53C2×C4×D4×C61C2211yescharacteristic
54C4×C4⋊C4×C61C2211yescharacteristic
55C4×C4⋊C4×C61C2211yescharacteristic
56C4×C4⋊C4×C61C2211yescharacteristic
57C4×C22⋊C4×C61—21no—
58C4×C22⋊C4×C61—21no—
59C4×C22⋊C4×C61—21no—
60C61×#376C2211yescharacteristic
61C2×#95×C61—21no—
62C22×D244—21no—
63C22×D244—21no—
64C22×D244C2311yescharacteristic
65C22×D244C2311yescharacteristic
66C22×C4×D61—21no—
67C22×C4×D61—21no—
68C2×#11758199—22no—
69C2×#11758199—22no—
70C2×#11758199—22no—
71C2×#11758199—22no—
72C2×#11758199C2×C414yescomplemented
73C2×#11758199C2×C414yescomplemented
74C22×#92418C2311yescharacteristic
75C22×#92418C2311yescharacteristic
76C22×#92418C2311yescharacteristic
77C22×#92418C2311yescharacteristic
78#14519774—22no—
79#14519774C2×C414yescomplemented
80C4×D244—22no—
81C4×D244—22no—
82C4×D244—22no—
83C4×D244—22no—
84C2×C4⋊Dic61C2311yescharacteristic
85C2×C4⋊Dic61C2311yescharacteristic
86C2×#11758198—21no—
87C2×#11758198—21no—
88C2×#11758198—21no—
89C2×#11758198—21no—
90C2×#11758198—21no—
91C2×#11758198—21no—
92#14519710—22no—
93#14519708—22no—
94C4⋊#92418—22no—
95C4⋊#92418C2×C414yescomplemented
96#14519698—22no—
97#14519698—22no—
98#14519697—22no—
99#14519697—22no—
100#14519697—22no—
101#14519697—22no—
102#14519697C2×C414yescomplemented
103#14519697C2×C414yescomplemented
104#14519688—22no—
105C4×#92418—22no—
106#14519684—21no—
107#14519684—21no—
108C22×D4×C61C2311yescharacteristic
109C23×C4×C61—21no—
110C23×C4×C61—21no—
111C23×C4×C61—21no—
112C4×D4×C61—22no—
113C4×D4×C61—22no—
114C4×D4×C61—22no—
115C4×D4×C61—22no—
116C4×D4×C61C2×C414yescomplemented
117C4×D4×C61D414yescomplemented
118C2×C4⋊C4×C61C2311yescharacteristic
119C2×C4⋊C4×C61C2311yescharacteristic
120C2×C4⋊C4×C61C2311yescharacteristic
121C2×C22⋊C4×C61—21no—
122C2×C22⋊C4×C61—21no—
123C2×C22⋊C4×C61—21no—
124C2×C42×C61—21no—
125C2×C42×C61—21no—
126C2×C42×C61—21no—
127C2×C42×C61C2311yescharacteristic
128C2×C42×C61C2311yescharacteristic
129C2×C42×C61C2311yescharacteristic
130#95×C61—21no—
131#95×C61—21no—
132#95×C61—21no—
133#95×C61D411yescharacteristic
134#95×C61D411yescharacteristic
135#95×C61D411yescharacteristic
136#95×C61D411yescharacteristic
137C24×C61—21no—
138C23×D61—21no—
139C23×D61—21no—
140C2×D4×C61—21no—
141C2×D4×C61—21no—
142C2×D4×C61—21no—
143C2×D4×C61C22×C412yes—
144C2×D4×C61C2×D412yes—
145C2×D4×C61#4112yes—
146C22×C4×C61—21no—
147C22×C4×C61—21no—
148C22×C4×C61—21no—
149C22×C4×C61—24no—
150C22×C4×C61—24no—
151C22×C4×C61—24no—
152C22×C4×C61—81no—
153C22×C4×C61—81no—
154C22×C4×C61—81no—
155C22×C4×C61—81no—
156C22×C4×C61—81no—
157C22×C4×C61—81no—
158C22×C4×C61C2×D411yescharacteristic
159C22×C4×C61C2×D411yescharacteristic
160C22×C4×C61C2×D411yescharacteristic
161C22×C4×C61C2×D411yescharacteristic
162C22×C4×C61C2×D411yescharacteristic
163C22×C4×C61C2×D411yescharacteristic
164C22×C4×C61C2411yescharacteristic
165C22×Dic61—21no—
166C22×Dic61—21no—
167C2×D244—21no—
168C2×D244—21no—
169C2×D244—21no—
170C2×D244—21no—
171C2×D244—21no—
172C2×D244—21no—
173C2×D244—21no—
174C2×D244—21no—
175C2×D244—21no—
176C2×D244—21no—
177C2×D244—24no—
178C2×D244—24no—
179C2×D244—81no—
180C2×D244—81no—
181C2×D244—81no—
182C2×D244—81no—
183C2×D244C22×C412yes—
184C2×D244C22×C412yes—
185C2×C4×D61—42no—
186C2×C4×D61—42no—
187C2×C4×D61—81no—
188C2×C4×D61—81no—
189C2×C4×D61—81no—
190C2×C4×D61—81no—
191C4⋊C4×C61—21no—
192C4⋊C4×C61—21no—
193C4⋊C4×C61—21no—
194C4⋊C4×C61C22×C412yes—
195C4⋊C4×C61C2×D412yes—
196C4⋊C4×C61#4112yes—
197C22⋊C4×C61—24no—
198C22⋊C4×C61—24no—
199C22⋊C4×C61—24no—
200C42×C61—21no—
201C42×C61—21no—
202C42×C61—81no—
203C42×C61—81no—
204C42×C61—81no—
205C42×C61C22×C412yes—
206C42×C61C2×D412yes—
207C42×C61#4112yes—
208C42×C61#4112yes—
209#11758199—28no—
210#11758199—28no—
211#11758198—42no—
212#11758198—42no—
213#11758198—81no—
214#11758198—81no—
215#11758198—81no—
216#11758198—81no—
217C4⋊Dic61—21no—
218C4⋊Dic61—21no—
219C4⋊Dic61—21no—
220C4⋊Dic61—21no—
221C2×#92418—21no—
222C2×#92418—21no—
223C2×#92418—21no—
224C2×#92418—21no—
225C2×#92418—21no—
226C2×#92418—21no—
227C2×#92418—21no—
228C2×#92418—21no—
229C2×#92418—21no—
230C2×#92418—21no—
231C2×#92418C22×C412yes—
232C2×#92418C22×C412yes—
233C23×C61—22no—
234C23×C61—22no—
235C23×C61—22no—
236C23×C61—41no—
237C23×C61—41no—
238C23×C61—41no—
239C23×C61—41no—
240C23×C61C22×D411yescharacteristic
241C22×D61—22no—
242C22×D61—22no—
243C22×D61—41no—
244C22×D61—41no—
245C22×D61—41no—
246C22×D61—41no—
247C22×D61—41no—
248C22×D61—41no—
249C22×D61—41no—
250C22×D61—41no—
251C22×D61—41no—
252C22×D61—41no—
253C22×D61—41no—
254C22×D61—41no—
255D4×C61—22no—
256D4×C61—22no—
257D4×C61—22no—
258D4×C61C4×D414yes—
259C2×C4×C61—21no—
260C2×C4×C61—21no—
261C2×C4×C61—21no—
262C2×C4×C61—21no—
263C2×C4×C61—21no—
264C2×C4×C61—21no—
265C2×C4×C61—21no—
266C2×C4×C61—21no—
267C2×C4×C61—22no—
268C2×C4×C61—22no—
269C2×C4×C61—21no—
270C2×C4×C61—21no—
271C2×C4×C61—22no—
272C2×C4×C61—21no—
273C2×C4×C61—21no—
274C2×C4×C61—21no—
275C2×C4×C61—21no—
276C2×C4×C61—41no—
277C2×C4×C61—41no—
278C2×C4×C61—41no—
279C2×C4×C61—41no—
280C2×C4×C61—41no—
281C2×C4×C61—41no—
282C2×C4×C61—84no—
283C2×C4×C61—84no—
284C2×C4×C61—84no—
285C2×C4×C61C4×D412yes—
286C2×C4×C61C4×D412yes—
287C2×C4×C61#12112yes—
288C2×C4×C61#12112yes—
289C2×C4×C61C23×C411yescharacteristic
290C2×C4×C61C22×D411yescharacteristic
291C2×C4×C61C2×#4111yescharacteristic
292C2×C4×C61C2×#4111yescharacteristic
293C2×C4×C61C2×#4111yescharacteristic
294C2×C4×C61C2×#4111yescharacteristic
295C2×Dic61—41no—
296C2×Dic61—41no—
297C2×Dic61—41no—
298C2×Dic61—41no—
299C2×Dic61—41no—
300C2×Dic61—41no—
301D244—22no—
302D244—22no—
303D244—22no—
304D244—22no—
305D244—41no—
306D244—41no—
307D244—41no—
308D244—41no—
309D244—84no—
310D244—84no—
311C4×D61—84no—
312C4×D61—84no—
313#92418—22no—
314#92418—22no—
315#92418—41no—
316#92418—41no—
317#21513—611nomaximal, Sylow
318C22×C61—24no—
319C22×C61—42no—
320C22×C61—42no—
321C22×C61—42no—
322C22×C61—42no—
323C22×C61—42no—
324C22×C61—42no—
325C22×C61C2×C4×D411yescharacteristic
326C22×C61C2×#12111yescharacteristic
327C22×C61#52511yescharacteristic
328C22×C61#57611yescharacteristic
329C22×C61#57611yescharacteristic
330C22×C61#57611yescharacteristic
331C22×C61#57711yescharacteristic
332C2×D61—42no—
333C2×D61—42no—
334C2×D61—42no—
335C2×D61—42no—
336C2×D61—42no—
337C2×D61—42no—
338C2×D61—81no—
339C2×D61—81no—
340C2×D61—81no—
341C2×D61—81no—
342C2×D61—81no—
343C2×D61—81no—
344C2×D61—81no—
345C2×D61—81no—
346C4×C61—22no—
347C4×C61—22no—
348C4×C61—22no—
349C4×C61—22no—
350C4×C61—41no—
351C4×C61—41no—
352C4×C61—42no—
353C4×C61—42no—
354C4×C61—42no—
355C4×C61C2×C4×D411yescharacteristic
356C4×C61C4×#4111yescharacteristic
357C4×C61#52911yescharacteristic
358C4×C61#53211yescharacteristic
359Dic61—81no—
360Dic61—81no—
361C2×#459—611no—
362C2×#442—611no—
363C2×C4×D8—611no—
364#2328—611no—
365#2275D6111yescharacteristic, complemented
366#1982—611no—
367#1949—611no—
368#1926—611no—
369#1925—611no—
370#1879—611no—
371#1879—611no—
372#1804—611no—
373#1768—611no—
374#1762—611no—
375C4×#102—611no—
376C2×C61—44no—
377C2×C61C4×#12111yescharacteristic
378C2×C61#294611yescharacteristic
379C2×C61#294811yescharacteristic
380C2×C61#304111yescharacteristic
381C2×C61#304511yescharacteristic
382C2×C61#311911yescharacteristic
383C2×C61#312211yescharacteristic
384D61—82no—
385D61—82no—
386C22×D8—611no—
387C22×D8—611no—
388C2×#127—611no—
389C2×C4×D4—611no—
390C2×C4×D4—611no—
391C2×C4×D4C2×D6111yescharacteristic
392C2×C4×D4C2×D6111yescharacteristic
393C2×C4×D4C2×D6111yescharacteristic
394#459—618no—
395#442—1224no—
396C4×D8—1224no—
397C2×#107—611no—
398C2×#106—611no—
399C2×C4⋊C8—611no—
400C2×C4⋊C8—611no—
401C2×#102—611no—
402C2×#102—611no—
403C2×#102—611no—
404C2×#102—611no—
405C2×#102—611no—
406C2×#102—611no—
407C2×#102—611no—
408C2×#102—611no—
409C2×#97—611no—
410C2×C4×C8—611no—
411#390—611no—
412#390—611no—
413#386—1221no—
414#386—1221no—
415#386—1221no—
416#386—1221no—
417#382—611no—
418C4×C4⋊C4C2×D6111yescharacteristic
419C4×C4⋊C4C2×D6111yescharacteristic
420C4×C4⋊C4C2×D6111yescharacteristic
421C4×C22⋊C4—21no—
422C4×C22⋊C4—21no—
423C4×C22⋊C4—21no—
424#376C2×D6111yescharacteristic
425C2×#95—21no—
426#340—611no—
427#340—611no—
428#340—611no—
429#340—611no—
430#336—611no—
431#336—611no—
432C61#2151311yescharacteristic, complemented, Sylow
433C22×D4—611no—
434C22×D4—611no—
435C22×D4—1221no—
436C22×D4—1221no—
437C22×D4C22×D6111yescharacteristic
438C23×C4—21no—
439C23×C4—21no—
440C23×C4—21no—
441C23×C4—1221no—
442C23×C4—1221no—
443C2×D8—614no—
444C2×D8—614no—
445C2×D8—1222no—
446C2×D8—1222no—
447C2×D8—1222no—
448C2×D8—1222no—
449C22×C8—611no—
450C22×C8—611no—
451C22×C8—611no—
452C22×C8—611no—
453#127—614no—
454#127—1222no—
455C4×D4—22no—
456C4×D4—22no—
457C4×D4—22no—
458C4×D4—22no—
459C4×D4—1222no—
460C4×D4—1222no—
461C4×D4—1222no—
462C4×D4—1222no—
463C4×D4C4×D6114yescomplemented
464C4×D4D24414yescomplemented
465C2×C4⋊C4—611no—
466C2×C4⋊C4—611no—
467C2×C4⋊C4C22×D6111yescharacteristic
468C2×C4⋊C4C22×D6111yescharacteristic
469C2×C4⋊C4C22×D6111yescharacteristic
470C2×C22⋊C4—21no—
471C2×C22⋊C4—21no—
472C2×C22⋊C4—21no—
473C2×C22⋊C4—1221no—
474C2×C22⋊C4—1221no—
475C2×C22⋊C4—1221no—
476C2×C22⋊C4—1221no—
477C2×C22⋊C4—1221no—
478C2×C22⋊C4—1221no—
479C2×C42—21no—
480C2×C42—21no—
481C2×C42—21no—
482C2×C42C22×D6111yescharacteristic
483C2×C42C22×D6111yescharacteristic
484C2×C42C22×D6111yescharacteristic
485#107—1222no—
486#106—1222no—
487C4⋊C8—614no—
488C4⋊C8—1222no—
489#102—614no—
490#102—614no—
491#102—1222no—
492#102—1222no—
493#102—1222no—
494#102—1222no—
495#102—1222no—
496#102—1222no—
497#97—1222no—
498C4×C8—1222no—
499#95—21no—
500#95—21no—
501#95—21no—
502#95—1221no—
503#95—1221no—
504#95C22⋊D6111yescharacteristic
505#95C22⋊D6111yescharacteristic
506#95C22⋊D6111yescharacteristic
507#95C22⋊D6111yescharacteristic
508C24—21no—
509C24—1221no—
510C24—1221no—
511C2×D4—21no—
512C2×D4—21no—
513C2×D4—21no—
514C2×D4—612no—
515C2×D4—612no—
516C2×D4—1221no—
517C2×D4—1221no—
518C2×D4—1221no—
519C2×D4—1221no—
520C2×D4—1221no—
521C2×D4—1221no—
522C2×D4—1221no—
523C2×D4—1221no—
524C2×D4—1221no—
525C2×D4—1221no—
526C2×D4—1224no—
527C2×D4—1224no—
528C2×D4—4881no—
529C2×D4—4881no—
530C2×D4—4881no—
531C2×D4—4881no—
532C2×D4C2×C4×D6112yes—
533C2×D4C2×D24412yes—
534C2×D4#1175822212yes—
535C22×C4—21no—
536C22×C4—21no—
537C22×C4—21no—
538C22×C4—24no—
539C22×C4—24no—
540C22×C4—24no—
541C22×C4—81no—
542C22×C4—81no—
543C22×C4—81no—
544C22×C4—81no—
545C22×C4—81no—
546C22×C4—81no—
547C22×C4—1221no—
548C22×C4—1221no—
549C22×C4—4881no—
550C22×C4—4881no—
551C22×C4—4881no—
552C22×C4—4881no—
553C22×C4—2442no—
554C22×C4—2442no—
555C22×C4C2×C22⋊D6111yescharacteristic
556C22×C4C2×C22⋊D6111yescharacteristic
557C22×C4C2×C22⋊D6111yescharacteristic
558C22×C4C2×C22⋊D6111yescharacteristic
559C22×C4C2×C22⋊D6111yescharacteristic
560C22×C4C2×C22⋊D6111yescharacteristic
561C22×C4C23×D6111yescharacteristic
562D8—1228no—
563D8—1228no—
564C2×C8—612no—
565C2×C8—612no—
566C2×C8—1221no—
567C2×C8—1221no—
568C2×C8—1221no—
569C2×C8—1221no—
570C2×C8—1221no—
571C2×C8—1221no—
572C2×C8—1221no—
573C2×C8—1221no—
574C2×C8—1221no—
575C2×C8—1221no—
576C4⋊C4—21no—
577C4⋊C4—21no—
578C4⋊C4—21no—
579C4⋊C4—1221no—
580C4⋊C4—1221no—
581C4⋊C4—1221no—
582C4⋊C4—1221no—
583C4⋊C4C2×C4×D6112yes—
584C4⋊C4C2×D24412yes—
585C4⋊C4#1175822212yes—
586C22⋊C4—24no—
587C22⋊C4—24no—
588C22⋊C4—24no—
589C22⋊C4—4881no—
590C22⋊C4—4881no—
591C22⋊C4—4881no—
592C22⋊C4—4881no—
593C22⋊C4—2442no—
594C22⋊C4—2442no—
595C42—21no—
596C42—21no—
597C42—81no—
598C42—81no—
599C42—81no—
600C42C2×C4×D6112yes—
601C42C2×D24412yes—
602C42#1175822212yes—
603C42#1175822212yes—
604C23—22no—
605C23—22no—
606C23—22no—
607C23—41no—
608C23—41no—
609C23—41no—
610C23—41no—
611C23—1222no—
612C23—1222no—
613C23—2441no—
614C23—2441no—
615C23—2441no—
616C23—2441no—
617C23—2441no—
618C23—2441no—
619C23—2441no—
620C23—2441no—
621C23—2441no—
622C23—2441no—
623C23—2441no—
624C23—2441no—
625C23C22×C22⋊D6111yescharacteristic
626D4—22no—
627D4—22no—
628D4—22no—
629D4—1222no—
630D4—1222no—
631D4—1222no—
632D4—1222no—
633D4—4884no—
634D4—4884no—
635D4—2441no—
636D4—2441no—
637D4—2441no—
638D4—2441no—
639D4C4×D24414yes—
640C2×C4—21no—
641C2×C4—21no—
642C2×C4—21no—
643C2×C4—21no—
644C2×C4—21no—
645C2×C4—21no—
646C2×C4—21no—
647C2×C4—21no—
648C2×C4—22no—
649C2×C4—22no—
650C2×C4—21no—
651C2×C4—21no—
652C2×C4—22no—
653C2×C4—21no—
654C2×C4—21no—
655C2×C4—21no—
656C2×C4—21no—
657C2×C4—41no—
658C2×C4—41no—
659C2×C4—41no—
660C2×C4—41no—
661C2×C4—41no—
662C2×C4—41no—
663C2×C4—84no—
664C2×C4—84no—
665C2×C4—84no—
666C2×C4—4884no—
667C2×C4—4884no—
668C2×C4—2441no—
669C2×C4—2441no—
670C2×C4—2441no—
671C2×C4—2441no—
672C2×C4—2441no—
673C2×C4—2441no—
674C2×C4C4×C22⋊D6112yes—
675C2×C4C4×C22⋊D6112yes—
676C2×C4#1451975112yes—
677C2×C4#1451975112yes—
678C2×C4C22×C4×D6111yescharacteristic
679C2×C4C22×D24411yescharacteristic
680C2×C4C2×#1175822211yescharacteristic
681C2×C4C2×#1175822211yescharacteristic
682C2×C4C2×#1175822211yescharacteristic
683C2×C4C2×#1175822211yescharacteristic
684C8—1222no—
685C8—1222no—
686C8—2441no—
687C8—2441no—
688C22—24no—
689C22—42no—
690C22—42no—
691C22—42no—
692C22—42no—
693C22—42no—
694C22—42no—
695C22—4881no—
696C22—4881no—
697C22—4881no—
698C22—4881no—
699C22—4881no—
700C22—4881no—
701C22—4881no—
702C22—4881no—
703C22—2442no—
704C22—2442no—
705C22—2442no—
706C22—2442no—
707C22—2442no—
708C22—2442no—
709C22C2×C4×C22⋊D6111yescharacteristic
710C22C2×#1451975111yescharacteristic
711C22#1684027311yescharacteristic
712C22#1684056511yescharacteristic
713C22#1684056511yescharacteristic
714C22#1684056511yescharacteristic
715C22#1684057011yescharacteristic
716C4—22no—
717C4—22no—
718C4—22no—
719C4—22no—
720C4—42no—
721C4—41no—
722C4—41no—
723C4—42no—
724C4—42no—
725C4—4881no—
726C4—4881no—
727C4C2×C4×D24411yescharacteristic
728C4C4×#1175822211yescharacteristic
729C4#1684029611yescharacteristic
730C4#1684031211yescharacteristic
731C2—44no—
732C2—4882no—
733C2—4882no—
734C2C4×#1451975111yescharacteristic
735C2#2145464711yescharacteristic
736C2#2145466911yescharacteristic
737C2#2145532211yescharacteristic
738C2#2145535811yescharacteristic
739C2#2145601811yescharacteristic
740C2#2145606211yescharacteristic
subgroupG/H
centerC23C22×C22⋊D61
commutatorC2×C4×C61C23×C4
FrattiniC22×C4C23×D61
FittingC61×#2275C2
socleC23×C61C22×D4
prime radicalC2×#16839957C2
cosocleC22×C4×C61C24
hypercenter#2275D61
hypocenterC61#21513
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C23 ◁ #376 ◁ #2275

Complements

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

NH ≅ G/Ntype
2. C2×#16839872C2semidirect
3. C2×C4×#11758199C2semidirect
4. #21448544C2semidirect
5. #21446746C2semidirect
6. #21446587C2semidirect
7. #21446446C2semidirect
8. #21446439C2semidirect
9. #21446167C2semidirect
10. #21446167C2semidirect
11. #21445829C2semidirect
12. #21445676C2semidirect
13. #21445647C2semidirect
14. C4×#14519697C2semidirect
15. C61×#2275C2semidirect
21. #16839957C4semidirect
72. C2×#11758199C2×C4semidirect
73. C2×#11758199C2×C4semidirect
79. #14519774C2×C4semidirect
95. C4⋊#92418C2×C4semidirect
102. #14519697C2×C4semidirect
103. #14519697C2×C4semidirect
116. C4×D4×C61C2×C4semidirect
117. C4×D4×C61D4semidirect
365. #2275D61semidirect
432. C61#21513semidirect
463. C4×D4C4×D61semidirect
464. C4×D4D244semidirect

Maximal subgroups

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

subgroupindex
C2×#168399572
C2×#168398722
C2×C4×#117581992
#214485442
#214467462
#214465872
#214464462
#214464392
#214461672
#214458292
#214456762
#214456472
C4×#145196972
C61×#22752
#2151361