Finite Group Databasebeta

← #30610083

Subgroups — #30610083

Order 15616.

1446 conjugacy classes of subgroups.

The subgroup lattice has 766 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1D61⋊#407C211yesmaximal, characteristic, complemented
2C2×D61⋊(C22⋊C8)C211yesmaximal, characteristic, complemented
3#21461097C212yesmaximal, complemented
4#21461096C212yesmaximal, complemented
5#21461086C214yesmaximal, complemented
6#21461056C214yesmaximal, complemented
7C2×#16840274C211yesmaximal, characteristic
8C2×D61⋊M16—21no—
9C22×D61⋊C8—21no—
10#16840734—21no—
11#16840733—21no—
12#16840733C2212yes—
13#16840732C2212yes—
14C2×#14519834—21no—
15D61⋊(C22⋊C8)—21no—
16D61⋊(C22⋊C8)—21no—
17D61⋊(C22⋊C8)—21no—
18D61⋊(C22⋊C8)C2212yes—
19D61⋊(C22⋊C8)C2212yes—
20D61⋊(C22⋊C8)C2212yes—
21C2×C22⋊#92420C2212yes—
22#16840607C2218yescomplemented
23#16840606C2218yescomplemented
24C22×#11758222C411yescharacteristic
25C23×C4×D61C2211yescharacteristic
26#16840274—21no—
27#16840274—21no—
28#16840274—21no—
29#16840274—21no—
30#16840274—21no—
31#16840274—21no—
32#16840274—21no—
33#16840274—21no—
34C2×#14519761C2212yes—
35C2×#14519757C411yescharacteristic
36C2×#14519757C2211yescharacteristic
37C2×#14519752C411yescharacteristic
38C2×#14519752C2211yescharacteristic
39C2×#14519747C412yes—
40C2×C4×D244C412yes—
41C2×C4×D244C2212yes—
42C2×#117×C61C411yescharacteristic
43C2×#11758213—22no—
44D61⋊M16—44no—
45C2×#11758217—22no—
46C2×D61⋊C8—22no—
47C2×D61⋊C8—22no—
48C2×D61⋊C8—22no—
49C2×D61⋊C8—44no—
50C22×#92420—22no—
51#14519834—22no—
52#14519834—22no—
53#14519834—22no—
54#14519834—22no—
55C22⋊#92420—22no—
56C22⋊#92420—22no—
57C22⋊#92420C2314yes—
58C22⋊#92420C2314yes—
59C24×D61C2×C411yescharacteristic
60C2×#11758222—21no—
61C2×#11758222—21no—
62C2×#11758222—21no—
63C2×#11758222—21no—
64C2×#11758222—44no—
65C22×Dic122C2×C411yescharacteristic
66C22×D244C2×C412yes—
67C22×D244C2×C412yes—
68C22×D244C2×C411yescharacteristic
69C22×C22⋊D61C2×C412yes—
70C23×Dic61C2311yescharacteristic
71C22×C4×D61—44no—
72C22×C4×D61C2×C412yes—
73C22×C4×D61C2×C411yescharacteristic
74C22×C4×D61C2×C411yescharacteristic
75C22×C4×D61D411yescharacteristic
76C22×C4×D61D411yescharacteristic
77C22×C4×D61D411yescharacteristic
78C22×C4×D61D411yescharacteristic
79C22×C4×D61D411yescharacteristic
80C22×C4×D61D411yescharacteristic
81C22×C4×D61D411yescharacteristic
82C22×C4×D61D411yescharacteristic
83C22×C4×D61C2311yescharacteristic
84C22×C4×D61C2311yescharacteristic
85#14519761—22no—
86#14519761—22no—
87#14519761—22no—
88#14519761—22no—
89#14519757—21no—
90#14519757—21no—
91#14519757—21no—
92#14519757—21no—
93#14519757—21no—
94#14519757—21no—
95#14519757—21no—
96#14519757—21no—
97#14519752—21no—
98#14519752—21no—
99#14519752—21no—
100#14519752—21no—
101#14519752—21no—
102#14519752—21no—
103#14519752—21no—
104#14519752—21no—
105#14519747—22no—
106#14519747—22no—
107#14519747—22no—
108#14519747—22no—
109C4×D244—22no—
110C4×D244—22no—
111C4×D244—22no—
112C4×D244—22no—
113C4×D244—22no—
114C4×D244—22no—
115C4×D244—22no—
116C4×D244—22no—
117C2×C4⋊Dic61C2×C412yes—
118C2×C4⋊Dic61C2312yes—
119C2×#11758198C2×C412yes—
120C2×#11758198C2×C412yes—
121C2×#11758198C2×C412yes—
122C2×#11758198C2312yes—
123C23×C4×C61C2×C411yescharacteristic
124#117×C61—21no—
125#117×C61—21no—
126#117×C61—21no—
127#117×C61—21no—
128C2×C4⋊C4×C61C2×C411yescharacteristic
129C2×C4⋊C4×C61C2×C411yescharacteristic
130C2×C22⋊C4×C61C2×C412yes—
131C2×C42×C61C2×C412yes—
132C24×C61C22×C411yescharacteristic
133C23×D61—24no—
134C23×D61—42no—
135C23×D61—42no—
136C23×D61C22⋊C411yescharacteristic
137C23×D61C22⋊C411yescharacteristic
138C23×D61C22⋊C411yescharacteristic
139C23×D61C22⋊C411yescharacteristic
140C23×D61C22×C411yescharacteristic
141C23×D61C22×C412yes—
142C23×D61C22×C411yescharacteristic
143C22×C4×C61—24no—
144C22×C4×C61C22⋊C411yescharacteristic
145C22×C4×C61C22⋊C411yescharacteristic
146C22×C4×C61C22⋊C411yescharacteristic
147C22×C4×C61C22⋊C411yescharacteristic
148C22×C4×C61C22×C412yes—
149C22×C4×C61C22×C411yescharacteristic
150C22×C4×C61C22×C411yescharacteristic
151C22×C4×C61C22×C412yes—
152C2×C22⋊D61—22no—
153C2×C22⋊D61—22no—
154C2×C22⋊D61—44no—
155C22×Dic61—42no—
156C22×Dic61C22×C412yes—
157C22×Dic61C22×C411yescharacteristic
158C22×Dic61C2×D411yescharacteristic
159C22×Dic61C2×D411yescharacteristic
160C22×Dic61C2×D411yescharacteristic
161C22×Dic61C2×D411yescharacteristic
162C22×Dic61C2411yescharacteristic
163#11758222—44no—
164#11758222—44no—
165#11758222—44no—
166#11758222—44no—
167C2×D244—22no—
168C2×D244—22no—
169C2×D244—22no—
170C2×D244—22no—
171C2×D244—28no—
172C2×D244—21no—
173C2×D244—21no—
174C2×D244—42no—
175C2×D244—44no—
176C2×C4×D61—24no—
177C2×C4×D61—24no—
178C2×C4×D61—22no—
179C2×C4×D61—22no—
180C2×C4×D61—42no—
181C2×C4×D61—42no—
182C2×C4×D61—42no—
183C2×C4×D61—42no—
184C2×C4×D61—42no—
185C2×C4×D61—42no—
186C2×C4×D61—42no—
187C2×C4×D61—42no—
188C2×C4×D61—42no—
189C2×C4×D61—42no—
190C2×C4×D61—44no—
191C2×C4×D61C22⋊C411yescharacteristic
192C2×C4×D61C22⋊C411yescharacteristic
193C2×C4×D61C22⋊C411yescharacteristic
194C2×C4×D61C22⋊C411yescharacteristic
195C2×C4×D61C22⋊C411yescharacteristic
196C2×C4×D61C22⋊C411yescharacteristic
197C2×C4×D61C22⋊C411yescharacteristic
198C2×C4×D61C22⋊C411yescharacteristic
199C2×C4×D61C2×D411yescharacteristic
200C2×C4×D61C2×D411yescharacteristic
201C2×C4×D61C2×D411yescharacteristic
202C2×C4×D61C2×D411yescharacteristic
203C2×C4×D61C2×D411yescharacteristic
204C2×C4×D61C2×D411yescharacteristic
205C2×C4×D61C2×D411yescharacteristic
206C2×C4×D61C2×D411yescharacteristic
207C2×Dic122—21no—
208C2×Dic122—21no—
209C2×Dic122—42no—
210#11758217—44no—
211C2×#92420—24no—
212C2×#92420—24no—
213C2×#92420—44no—
214#11758213—44no—
215D61⋊C8—44no—
216D61⋊C8—44no—
217D61⋊C8—44no—
218C4⋊C4×C61—21no—
219C4⋊C4×C61—21no—
220C4⋊C4×C61—21no—
221C4⋊C4×C61—21no—
222C22⋊C4×C61—22no—
223C22⋊C4×C61—22no—
224C42×C61—22no—
225C42×C61—22no—
226#11758198—22no—
227#11758198—22no—
228#11758198—22no—
229#11758198—22no—
230#11758198—22no—
231#11758198—22no—
232#11758198—22no—
233#11758198—22no—
234C4⋊Dic61—22no—
235C4⋊Dic61—22no—
236C4⋊Dic61—22no—
237C4⋊Dic61—22no—
238C23×C61—22no—
239C23×C61—22no—
240C23×C61—41no—
241C23×C61C2×C22⋊C411yescharacteristic
242C23×C61C2×C22⋊C411yescharacteristic
243C23×C61C23×C411yescharacteristic
244C22×D61—22no—
245C22×D61—22no—
246C22×D61—22no—
247C22×D61—22no—
248C22×D61—22no—
249C22×D61—22no—
250C22×D61—22no—
251C22×D61—22no—
252C22×D61—22no—
253C22×D61—22no—
254C22×D61—22no—
255C22×D61—24no—
256C22×D61—41no—
257C22×D61—41no—
258C22×D61—41no—
259C22×D61—41no—
260C22×D61—41no—
261C22×D61—41no—
262C22×D61—41no—
263C22×D61—416no—
264C22×D61—42no—
265C22×D61—42no—
266C22×D61C2×C22⋊C411yescharacteristic
267C22×D61C2×C22⋊C411yescharacteristic
268C22×D61C2×C22⋊C411yescharacteristic
269C22×D61C2×C22⋊C411yescharacteristic
270C22×D61#13114yes—
271C2×C4×C61—22no—
272C2×C4×C61—22no—
273C2×C4×C61—22no—
274C2×C4×C61—22no—
275C2×C4×C61—22no—
276C2×C4×C61—22no—
277C2×C4×C61—22no—
278C2×C4×C61—24no—
279C2×C4×C61—42no—
280C2×C4×C61#9914yes—
281C2×C4×C61C2×C22⋊C411yescharacteristic
282C2×C4×C61C2×C22⋊C411yescharacteristic
283C2×C4×C61C2×C22⋊C411yescharacteristic
284C2×C4×C61C2×C22⋊C411yescharacteristic
285C22⋊D61—44no—
286C22⋊D61—44no—
287C2×Dic61—22no—
288C2×Dic61—22no—
289C2×Dic61—22no—
290C2×Dic61—41no—
291C2×Dic61—41no—
292C2×Dic61—41no—
293C2×Dic61—41no—
294C2×Dic61—42no—
295C2×Dic61C2×C22⋊C411yescharacteristic
296C2×Dic61C2×C22⋊C411yescharacteristic
297C2×Dic61C22×D411yescharacteristic
298C2×Dic61C22×D411yescharacteristic
299D244—42no—
300D244—44no—
301D244—44no—
302D244—44no—
303D244—44no—
304D244—42no—
305C4×D61—22no—
306C4×D61—22no—
307C4×D61—22no—
308C4×D61—22no—
309C4×D61—22no—
310C4×D61—22no—
311C4×D61—22no—
312C4×D61—22no—
313C4×D61—41no—
314C4×D61—41no—
315C4×D61—41no—
316C4×D61—41no—
317C4×D61—41no—
318C4×D61—41no—
319C4×D61—41no—
320C4×D61—41no—
321C4×D61—44no—
322C4×D61—44no—
323Dic122—42no—
324Dic122—42no—
325#92420—44no—
326#92420—44no—
327#17381—611nomaximal, Sylow
328C22×C61—21no—
329C22×C61—21no—
330C22×C61—21no—
331C22×C61—21no—
332C22×C61—21no—
333C22×C61—21no—
334C22×C61—21no—
335C22×C61—44no—
336C22×C61C2×#9912yes—
337C22×C61C22×C22⋊C411yescharacteristic
338C22×C61C2×#13112yes—
339C2×D61—28no—
340C2×D61—21no—
341C2×D61—21no—
342C2×D61—21no—
343C2×D61—21no—
344C2×D61—21no—
345C2×D61—21no—
346C2×D61—21no—
347C2×D61—21no—
348C2×D61—21no—
349C2×D61—44no—
350C2×D61—44no—
351C2×D61—44no—
352C2×D61—44no—
353C2×D61—44no—
354C2×D61—42no—
355C2×D61—42no—
356C2×D61—42no—
357C2×D61—84no—
358C2×D61#40812yes—
359C2×D61#40812yes—
360C2×D61#41312yes—
361C4×C61—21no—
362C4×C61—21no—
363C4×C61—42no—
364C4×C61—42no—
365C4×C61C2×#9912yes—
366C4×C61C2×#9912yes—
367Dic61—21no—
368Dic61—21no—
369Dic61—21no—
370Dic61—21no—
371Dic61—42no—
372C2×#525—611no—
373C2×#407—611no—
374C22×C22⋊C8—611no—
375#1472—612no—
376#1471—612no—
377#1468—614no—
378#1459—614no—
379C2×C61—22no—
380C2×C61—22no—
381C2×C61—41no—
382C2×C61C2×#40811yescharacteristic
383C2×C61C22×#9911yescharacteristic
384C2×C61C2×#41311yescharacteristic
385D61—22no—
386D61—22no—
387D61—22no—
388D61—41no—
389D61—82no—
390C22×#41—611no—
391C24×C4—611no—
392C22×M16—1221no—
393C23×C8—1221no—
394#525—1221no—
395#525—1221no—
396#525—1221no—
397#525—1221no—
398#525—1221no—
399#525—1221no—
400#525—1221no—
401#525—1221no—
402C2×#123—612no—
403C2×C22⋊Q8—611no—
404C2×C22⋊Q8—611no—
405C2×#121—611no—
406C2×#121—611no—
407C2×#120—612no—
408C2×C4×D4—612no—
409C2×C4×D4—612no—
410C2×#117#692311yescharacteristic
411#407—612no—
412#407—612no—
413#407—1221no—
414#407—1221no—
415C2×C22⋊C8—612no—
416C2×C22⋊C8—612no—
417C2×C22⋊C8—612no—
418C2×C22⋊C8—612no—
419C2×C22⋊C8—1221no—
420C2×C22⋊C8—1221no—
421C2×C22⋊C8—1221no—
422C2×C22⋊C8—1221no—
423#324—618no—
424#323—618no—
425C61#1738111yescharacteristic, complemented, Sylow
426C25—611no—
427C2×#41—1221no—
428C2×#41—1221no—
429C2×#41—1221no—
430C2×#41—1221no—
431C2×#41—2444no—
432C22×Q8—611no—
433C22×D4—612no—
434C22×D4—612no—
435C22×D4—612no—
436C22×D4—611no—
437C23×C4—611no—
438C23×C4—611no—
439C23×C4—611no—
440C23×C4—611no—
441C23×C4—611no—
442C23×C4—611no—
443C23×C4—611no—
444C23×C4—611no—
445C23×C4—611no—
446C23×C4—611no—
447C23×C4—611no—
448C23×C4—611no—
449C23×C4—611no—
450C23×C4—612no—
451C23×C4—2444no—
452C23×C4C2×#692311yescharacteristic
453C2×M16—1222no—
454C2×M16—1222no—
455C2×M16—2444no—
456C22×C8—1222no—
457C22×C8—1222no—
458C22×C8—1222no—
459C22×C8—1222no—
460C22×C8—2444no—
461#123—1222no—
462#123—1222no—
463#123—1222no—
464#123—1222no—
465C22⋊Q8—1221no—
466C22⋊Q8—1221no—
467C22⋊Q8—1221no—
468C22⋊Q8—1221no—
469C22⋊Q8—1221no—
470C22⋊Q8—1221no—
471C22⋊Q8—1221no—
472C22⋊Q8—1221no—
473#121—1221no—
474#121—1221no—
475#121—1221no—
476#121—1221no—
477#121—1221no—
478#121—1221no—
479#121—1221no—
480#121—1221no—
481#120—1222no—
482#120—1222no—
483#120—1222no—
484#120—1222no—
485C4×D4—1222no—
486C4×D4—1222no—
487C4×D4—1222no—
488C4×D4—1222no—
489C4×D4—1222no—
490C4×D4—1222no—
491C4×D4—1222no—
492C4×D4—1222no—
493#117—21no—
494#117—21no—
495#117—21no—
496#117—21no—
497C2×C4⋊C4—612no—
498C2×C4⋊C4—612no—
499C2×C4⋊C4C2×#692311yescharacteristic
500C2×C4⋊C4C2×#692311yescharacteristic
501C2×C22⋊C4—612no—
502C2×C22⋊C4—612no—
503C2×C22⋊C4—612no—
504C2×C22⋊C4—612no—
505C2×C22⋊C4C2×#692312yes—
506C2×C42C2×#692312yes—
507C22⋊C8—614no—
508C22⋊C8—614no—
509C22⋊C8—1222no—
510C22⋊C8—1222no—
511C22⋊C8—1222no—
512C22⋊C8—1222no—
513C22⋊C8—1222no—
514C22⋊C8—1222no—
515C24—611no—
516C24—611no—
517C24—611no—
518C24—611no—
519C24—611no—
520C24—611no—
521C24—612no—
522C24—1224no—
523C24—2442no—
524C24—2442no—
525C24C22×#692311yescharacteristic
526#41—2444no—
527#41—2444no—
528#41—2444no—
529#41—2444no—
530C2×Q8—1221no—
531C2×Q8—1221no—
532C2×Q8—2442no—
533C2×D4—1222no—
534C2×D4—1222no—
535C2×D4—1222no—
536C2×D4—1222no—
537C2×D4—1228no—
538C2×D4—1222no—
539C2×D4—1222no—
540C2×D4—1221no—
541C2×D4—1221no—
542C2×D4—2442no—
543C2×D4—2444no—
544C2×D4—2444no—
545C22×C4—24no—
546C22×C4—611no—
547C22×C4—611no—
548C22×C4—611no—
549C22×C4—611no—
550C22×C4—611no—
551C22×C4—611no—
552C22×C4—611no—
553C22×C4—611no—
554C22×C4—611no—
555C22×C4—611no—
556C22×C4—611no—
557C22×C4—611no—
558C22×C4—611no—
559C22×C4—611no—
560C22×C4—611no—
561C22×C4—611no—
562C22×C4—611no—
563C22×C4—611no—
564C22×C4—611no—
565C22×C4—611no—
566C22×C4—611no—
567C22×C4—611no—
568C22×C4—612no—
569C22×C4—1224no—
570C22×C4—1224no—
571C22×C4—1222no—
572C22×C4—1222no—
573C22×C4—2442no—
574C22×C4—2442no—
575C22×C4—2442no—
576C22×C4—2442no—
577C22×C4—2442no—
578C22×C4—2442no—
579C22×C4—2442no—
580C22×C4—2442no—
581C22×C4—2442no—
582C22×C4—2442no—
583C22×C4—2444no—
584C22×C4—2442no—
585C22×C4C22⋊#692311yescharacteristic
586C22×C4C22⋊#692311yescharacteristic
587C22×C4C22⋊#692311yescharacteristic
588C22×C4C22⋊#692311yescharacteristic
589C22×C4C22×#692312yes—
590C22×C4C22×#692311yescharacteristic
591C22×C4C22×#692311yescharacteristic
592C22×C4C22×#692312yes—
593M16—2444no—
594M16—2444no—
595C2×C8—1224no—
596C2×C8—1224no—
597C2×C8—2444no—
598C2×C8—2444no—
599C2×C8—2444no—
600C2×C8—2444no—
601C4⋊C4—21no—
602C4⋊C4—21no—
603C4⋊C4—21no—
604C4⋊C4—21no—
605C4⋊C4—1222no—
606C4⋊C4—1222no—
607C4⋊C4—1222no—
608C4⋊C4—1222no—
609C22⋊C4—22no—
610C22⋊C4—22no—
611C22⋊C4—1222no—
612C22⋊C4—1222no—
613C22⋊C4—1222no—
614C22⋊C4—1222no—
615C22⋊C4—1222no—
616C22⋊C4—1222no—
617C22⋊C4—1222no—
618C22⋊C4—1222no—
619C42—22no—
620C42—22no—
621C23—22no—
622C23—22no—
623C23—41no—
624C23—611no—
625C23—611no—
626C23—611no—
627C23—614no—
628C23—611no—
629C23—1222no—
630C23—1222no—
631C23—1222no—
632C23—1222no—
633C23—1222no—
634C23—1222no—
635C23—1222no—
636C23—1222no—
637C23—1222no—
638C23—1222no—
639C23—1224no—
640C23—1222no—
641C23—2441no—
642C23—2441no—
643C23—2441no—
644C23—2441no—
645C23—2441no—
646C23—2441no—
647C23—2441no—
648C23—2442no—
649C23—2442no—
650C23—24416no—
651C23C2×C22⋊#692311yescharacteristic
652C23C2×C22⋊#692311yescharacteristic
653C23C23×#692311yescharacteristic
654Q8—2442no—
655Q8—2442no—
656D4—2442no—
657D4—2444no—
658D4—2444no—
659D4—2444no—
660D4—2444no—
661D4—2444no—
662D4—2444no—
663D4—2442no—
664C2×C4—22no—
665C2×C4—22no—
666C2×C4—22no—
667C2×C4—22no—
668C2×C4—22no—
669C2×C4—22no—
670C2×C4—22no—
671C2×C4—24no—
672C2×C4—42no—
673C2×C4—611no—
674C2×C4—611no—
675C2×C4—611no—
676C2×C4—611no—
677C2×C4—1222no—
678C2×C4—1222no—
679C2×C4—1222no—
680C2×C4—1222no—
681C2×C4—1222no—
682C2×C4—1222no—
683C2×C4—1222no—
684C2×C4—1222no—
685C2×C4—1222no—
686C2×C4—1222no—
687C2×C4—1222no—
688C2×C4—2441no—
689C2×C4—2441no—
690C2×C4—2441no—
691C2×C4—2441no—
692C2×C4—2441no—
693C2×C4—2441no—
694C2×C4—2441no—
695C2×C4—2441no—
696C2×C4—2444no—
697C2×C4—2441no—
698C2×C4—2441no—
699C2×C4—2441no—
700C2×C4—2441no—
701C2×C4—2444no—
702C2×C4—2442no—
703C2×C4#1451983614yes—
704C2×C4C2×C22⋊#692311yescharacteristic
705C2×C4C2×C22⋊#692311yescharacteristic
706C2×C4C2×C22⋊#692311yescharacteristic
707C2×C4C2×C22⋊#692311yescharacteristic
708C8—2444no—
709C8—2444no—
710C22—21no—
711C22—21no—
712C22—21no—
713C22—21no—
714C22—21no—
715C22—21no—
716C22—21no—
717C22—44no—
718C22—612no—
719C22—612no—
720C22—612no—
721C22—1228no—
722C22—1221no—
723C22—1221no—
724C22—1221no—
725C22—1221no—
726C22—1221no—
727C22—1221no—
728C22—1221no—
729C22—1221no—
730C22—1221no—
731C22—4884no—
732C22—2444no—
733C22—2444no—
734C22—2444no—
735C22—2444no—
736C22—2444no—
737C22—2442no—
738C22—2442no—
739C22—2442no—
740C22C2×#1451983612yes—
741C22C22×C22⋊#692311yescharacteristic
742C22D61⋊#13112yes—
743C4—21no—
744C4—21no—
745C4—42no—
746C4—42no—
747C4—1221no—
748C4—1221no—
749C4—1221no—
750C4—1221no—
751C4—2442no—
752C4C2×#1451983612yes—
753C4C2×#1451983612yes—
754C2—22no—
755C2—22no—
756C2—41no—
757C2—1222no—
758C2—1222no—
759C2—1222no—
760C2—4882no—
761C2—2441no—
762C2D61⋊#40811yescharacteristic
763C2C22×#1451983611yescharacteristic
764C2D61⋊#41311yescharacteristic
subgroupG/H
centerC2×C4C2×C22⋊#6923
commutatorC23×C61C23×C4
FrattiniC23C23×#6923
FittingC2×#117×C61C4
socleC22×C61C22×C22⋊C4
prime radicalC2×#16840274C2
cosocleC22×Dic61C24
hypercenterC2×#117#6923
hypocenterC61#17381
LCSG ▷ C23×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C2×C4 ◁ C23×C4 ◁ C2×#117

Complements

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

NH ≅ G/Ntype
1. D61⋊#407C2semidirect
2. C2×D61⋊(C22⋊C8)C2semidirect
3. #21461097C2semidirect
4. #21461096C2semidirect
5. #21461086C2semidirect
6. #21461056C2semidirect
22. #16840607C22semidirect
23. #16840606C22semidirect
425. C61#17381semidirect

Maximal subgroups

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

subgroupindex
D61⋊#4072
C2×D61⋊(C22⋊C8)2
#214610972
#214610962
#214610862
#214610562
C2×#168402742
#1738161