Finite Group Databasebeta

← #29685302

Subgroups — #29685302

Order 15616.

1198 conjugacy classes of subgroups.

The subgroup lattice has 750 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16840363C211yesmaximal, characteristic
2C2×#16839716C211yesmaximal, characteristic, complemented
3#21448424C211yesmaximal, characteristic, complemented
4#21446786C211yesmaximal, characteristic, complemented
5#21446782C211yesmaximal, characteristic, complemented
6#21446641C211yesmaximal, characteristic, complemented
7#21446623C211yesmaximal, characteristic, complemented
8#21446256C211yesmaximal, characteristic, complemented
9#21446254C211yesmaximal, characteristic, complemented
10#21446246C211yesmaximal, characteristic, complemented
11#21446244C211yesmaximal, characteristic, complemented
12#21445647C211yesmaximal, characteristic, complemented
13#21445644C211yesmaximal, characteristic, complemented
14C4×#14519699C211yesmaximal, characteristic, complemented
15C4×#102×C61C211yesmaximal, characteristic, complemented
16C22×#11758189C2211yescharacteristic
17C22×C8×D61C2211yescharacteristic
18#16840363—24no—
19#16840363C418yescomplemented
20C2×#14519773C2211yescharacteristic
21C2×#14519768C2211yescharacteristic
22C2×#14519760—21no—
23C2×#14519759—21no—
24C2×#14519752C2211yescharacteristic
25C2×#14519751—21no—
26C2×#14519750—21no—
27C2×#14519748C2211yescharacteristic
28C2×C4×D244C2211yescharacteristic
29C2×#14519734C2211yescharacteristic
30C2×#14519699C2211yescharacteristic
31C2×#14519699C2211yescharacteristic
32C2×#14519698C2211yescharacteristic
33C2×#14519698C2211yescharacteristic
34C2×#14519697C2211yescharacteristic
35C2×#14519697C2211yescharacteristic
36#16839716—24no—
37C2×#14519688C2211yescharacteristic
38C2×#14519687C2211yescharacteristic
39C2×C8×Dic61C2211yescharacteristic
40#16839653—21no—
41#16839651—21no—
42#16839646—21no—
43#16839644—21no—
44#16839631C2211yescharacteristic
45#16839627C2211yescharacteristic
46#16839619C2211yescharacteristic
47#16839619C2211yescharacteristic
48C4×C4⋊Dic61C2211yescharacteristic
49#16839525C2211yescharacteristic
50#16839525C2211yescharacteristic
51#16839524C2211yescharacteristic
52#16839524C2211yescharacteristic
53#16839524C2211yescharacteristic
54#16839524C2211yescharacteristic
55C2×C4×D4×C61C2211yescharacteristic
56C2×#102×C61C2211yescharacteristic
57C2×#102×C61C2211yescharacteristic
58C2×C4×C8×C61C2211yescharacteristic
59C4×C4⋊C4×C61C2211yescharacteristic
60C61×#340C2211yescharacteristic
61C61×#340C2211yescharacteristic
62C22×D244—21no—
63C22×D244C2311yescharacteristic
64C22×C22⋊D61—21no—
65C22×C22⋊D61—21no—
66C22×C22⋊D61—21no—
67C22×C4×D61—21no—
68C22×C4×D61C2311yescharacteristic
69C2×#11758189—22no—
70C2×#11758189—22no—
71C2×#11758189—22no—
72C22×#92418C2311yescharacteristic
73C22×#92418C2311yescharacteristic
74C2×C8×D61—22no—
75C2×C8×D61—22no—
76C2×C8×D61—22no—
77#14519773—22no—
78#14519773C2×C414yes—
79#14519768—22no—
80#14519768C2×C414yes—
81#14519760—28no—
82#14519759—28no—
83#14519752—22no—
84#14519752C2×C414yes—
85#14519751—28no—
86#14519750—28no—
87#14519748—22no—
88#14519748C2×C414yes—
89C4×D244—22no—
90C4×D244C2×C414yes—
91#14519734C2×C414yes—
92#14519734D414yes—
93C2×C4⋊Dic61—21no—
94C2×C4⋊Dic61C2311yescharacteristic
95C2×C4⋊Dic61C2311yescharacteristic
96C2×C4⋊Dic61C2311yescharacteristic
97C2×#11758196—21no—
98C2×#11758196—21no—
99C2×#11758196—21no—
100C2×#11758196D411yescharacteristic
101C2×#11758196D411yescharacteristic
102C2×C22⋊Dic61—21no—
103C2×#11758198—21no—
104C2×#11758198—21no—
105C2×#11758198—21no—
106C2×#11758198—21no—
107C2×#11758198D411yescharacteristic
108C2×#11758198D411yescharacteristic
109C2×C4×Dic61—21no—
110C2×C4×Dic61C2311yescharacteristic
111#14519699—22no—
112#14519699—22no—
113#14519698—22no—
114#14519698—22no—
115#14519697—22no—
116#14519697—22no—
117#14519688—22no—
118#14519687—22no—
119C8×Dic61—22no—
120#14519684—21no—
121#14519684—21no—
122#14519684—21no—
123#14519684—21no—
124#14519684—21no—
125C22×D4×C61C2311yescharacteristic
126C23×C4×C61—21no—
127C22×C8×C61C2311yescharacteristic
128C22×C8×C61C2311yescharacteristic
129C4×D4×C61—22no—
130C4×D4×C61C2×C414yes—
131C2×C4⋊C4×C61C2311yescharacteristic
132C2×C4⋊C4×C61C2311yescharacteristic
133C2×C4⋊C4×C61C2311yescharacteristic
134C2×C22⋊C4×C61—21no—
135C2×C42×C61—21no—
136C2×C42×C61C2311yescharacteristic
137#102×C61—22no—
138#102×C61—22no—
139C4×C8×C61—22no—
140#95×C61—21no—
141C24×C61—21no—
142C23×D61—21no—
143C23×D61C2×D411yescharacteristic
144C2×D4×C61—21no—
145C2×D4×C61—21no—
146C2×D4×C61—21no—
147C2×D4×C61—21no—
148C2×D4×C61—21no—
149C2×D4×C61C22×C412yes—
150C22×C4×C61—21no—
151C22×C4×C61—24no—
152C22×C4×C61—21no—
153C22×C4×C61—21no—
154C22×C4×C61—81no—
155C22×C4×C61—81no—
156C22×C4×C61C2×D411yescharacteristic
157C22×C4×C61C2×D411yescharacteristic
158C22×C4×C61C2411yescharacteristic
159C2×C22⋊D61—24no—
160C2×C22⋊D61—24no—
161C2×C22⋊D61—24no—
162C2×C22⋊D61—81no—
163C2×C22⋊D61—81no—
164C2×C22⋊D61—81no—
165C2×C22⋊D61—81no—
166C2×C22⋊D61—81no—
167C2×C22⋊D61—81no—
168C22×Dic61—21no—
169C22×Dic61—21no—
170C22×Dic61—21no—
171C22×Dic61C2×D411yescharacteristic
172C22×Dic61C2×D411yescharacteristic
173C22×Dic61C2×D411yescharacteristic
174C2×D244—21no—
175C2×D244—21no—
176C2×D244—21no—
177C2×D244—21no—
178C2×D244—21no—
179C2×D244—24no—
180C2×D244—81no—
181C2×D244—81no—
182C2×D244C22×C412yes—
183C2×C4×D61—21no—
184C2×C4×D61—21no—
185C2×C4×D61—21no—
186C2×C4×D61—21no—
187C2×C4×D61—24no—
188C2×C4×D61—81no—
189C2×C4×D61—81no—
190C2×C4×D61C22×C412yes—
191C2×C4×D61C2×D412yes—
192C2×C8×C61—21no—
193C2×C8×C61—21no—
194C2×C8×C61—21no—
195C2×C8×C61—21no—
196C2×C8×C61#4112yes—
197C2×C8×C61#4112yes—
198C4⋊C4×C61—21no—
199C4⋊C4×C61—21no—
200C4⋊C4×C61—21no—
201C4⋊C4×C61—21no—
202C4⋊C4×C61—21no—
203C4⋊C4×C61C22×C412yes—
204C22⋊C4×C61—24no—
205C42×C61—81no—
206C42×C61C22×C412yes—
207C42×C61C2×D412yes—
208C22⋊Dic61—24no—
209#11758198—24no—
210#11758198—24no—
211#11758198—81no—
212#11758198—81no—
213#11758198C22⋊C414yes—
214#11758198C22⋊C414yes—
215C4⋊Dic61—21no—
216C4⋊Dic61—24no—
217C4⋊Dic61—21no—
218C4⋊Dic61—21no—
219C4⋊Dic61—21no—
220C4⋊Dic61—21no—
221C4⋊Dic61C22×C412yes—
222#11758196—24no—
223#11758196—81no—
224#11758196—81no—
225#11758196C22⋊C414yes—
226#11758196C22⋊C414yes—
227C4×Dic61—81no—
228C4×Dic61C22×C412yes—
229C4×Dic61C2×D412yes—
230C2×#92418—21no—
231C2×#92418—21no—
232C2×#92418—21no—
233C2×#92418—21no—
234C2×#92418#4112yes—
235C2×#92418#4112yes—
236#11758189—28no—
237C8×D61—28no—
238C23×C61—22no—
239C23×C61—41no—
240C23×C61—41no—
241C23×C61—41no—
242C23×C61—41no—
243C23×C61—41no—
244C23×C61—41no—
245C23×C61C22×D411yescharacteristic
246C22×D61—21no—
247C22×D61—21no—
248C22×D61—21no—
249C22×D61—21no—
250C22×D61—21no—
251C22×D61—21no—
252C22×D61—22no—
253C22×D61—41no—
254C22×D61—41no—
255C22×D61—41no—
256C22×D61—41no—
257C22×D61—41no—
258C22×D61—41no—
259C22×D61C2×C22⋊C412yes—
260D4×C61—22no—
261D4×C61—22no—
262D4×C61—41no—
263D4×C61—41no—
264C2×C4×C61—21no—
265C2×C4×C61—21no—
266C2×C4×C61—21no—
267C2×C4×C61—21no—
268C2×C4×C61—22no—
269C2×C4×C61—41no—
270C2×C4×C61—41no—
271C2×C4×C61—41no—
272C2×C4×C61—41no—
273C2×C4×C61—41no—
274C2×C4×C61—41no—
275C2×C4×C61—41no—
276C2×C4×C61—41no—
277C2×C4×C61—84no—
278C2×C4×C61C2×C22⋊C412yes—
279C2×C4×C61C2×C22⋊C412yes—
280C2×C4×C61C23×C411yescharacteristic
281C2×C4×C61C22×D411yescharacteristic
282C2×C4×C61C2×#4111yescharacteristic
283C2×C4×C61C2×#4111yescharacteristic
284C2×C4×C61C2×#4111yescharacteristic
285C2×C4×C61C2×#4111yescharacteristic
286C22⋊D61—84no—
287C22⋊D61—84no—
288C22⋊D61—84no—
289C2×Dic61—21no—
290C2×Dic61—21no—
291C2×Dic61—21no—
292C2×Dic61—21no—
293C2×Dic61—21no—
294C2×Dic61—21no—
295C2×Dic61—22no—
296C2×Dic61—41no—
297C2×Dic61—41no—
298C2×Dic61—41no—
299C2×Dic61—41no—
300C2×Dic61—41no—
301C2×Dic61—41no—
302C2×Dic61—41no—
303C2×Dic61—41no—
304C2×Dic61C2×C22⋊C412yes—
305C2×Dic61C2×C22⋊C412yes—
306C2×Dic61C2×C22⋊C412yes—
307D244—22no—
308D244—22no—
309D244—41no—
310D244—41no—
311D244—84no—
312C4×D61—22no—
313C4×D61—22no—
314C4×D61—22no—
315C4×D61—22no—
316C4×D61—84no—
317C8×C61—22no—
318C8×C61—22no—
319#92418—22no—
320#92418—22no—
321#21414—611nomaximal, Sylow
322C22×C61—42no—
323C22×C61—42no—
324C22×C61—42no—
325C22×C61—81no—
326C22×C61—81no—
327C22×C61—81no—
328C22×C61—81no—
329C22×C61C22×C22⋊C411yescharacteristic
330C22×C61#53211yescharacteristic
331C22×C61#53211yescharacteristic
332C22×C61#57611yescharacteristic
333C22×C61#57611yescharacteristic
334C22×C61#57711yescharacteristic
335C22×C61#57711yescharacteristic
336C2×D61—22no—
337C2×D61—22no—
338C2×D61—22no—
339C2×D61—41no—
340C2×D61—41no—
341C2×D61—41no—
342C2×D61—41no—
343C2×D61—42no—
344C2×D61—42no—
345C2×D61—42no—
346C2×D61—81no—
347C2×D61—81no—
348C2×D61—81no—
349C2×D61—81no—
350C4×C61—22no—
351C4×C61—22no—
352C4×C61—42no—
353C4×C61—81no—
354C4×C61—81no—
355C4×C61C4×#4111yescharacteristic
356C4×C61C4×#4111yescharacteristic
357C4×C61#52511yescharacteristic
358C4×C61#52511yescharacteristic
359Dic61—22no—
360Dic61—22no—
361Dic61—22no—
362Dic61—42no—
363Dic61—81no—
364Dic61—81no—
365C2×#540—611no—
366C2×#405—611no—
367#2314—611no—
368#1992—611no—
369#1991—611no—
370#1961—611no—
371#1957—611no—
372#1895—611no—
373#1895—611no—
374#1893—611no—
375#1893—611no—
376#1762—611no—
377#1762—611no—
378C4×#102—611no—
379C4×#102D6111yescharacteristic, complemented
380C2×C61—82no—
381C2×C61#229711yescharacteristic
382C2×C61#289711yescharacteristic
383C2×C61#289711yescharacteristic
384C2×C61#317411yescharacteristic
385C2×C61#317611yescharacteristic
386C2×C61#317911yescharacteristic
387C2×C61#317911yescharacteristic
388D61—42no—
389D61—82no—
390C22×M16—611no—
391C23×C8—611no—
392#540—618no—
393#540—1224no—
394C2×#127—611no—
395C2×#125—611no—
396C2×#123—1221no—
397C2×#123—1221no—
398C2×#121—611no—
399C2×#121—611no—
400C2×#121—1221no—
401C2×#121—1221no—
402C2×C4×D4—611no—
403C2×C4×D4C2×D6111yescharacteristic
404C2×#117—611no—
405C2×#102—611no—
406C2×#102—611no—
407C2×#102—611no—
408C2×#102—611no—
409C2×#102—611no—
410C2×#102—611no—
411C2×#102C2×D6111yescharacteristic
412C2×#102C2×D6111yescharacteristic
413#405—1224no—
414C2×#97—611no—
415C2×#97—611no—
416C2×C4×C8—611no—
417C2×C4×C8C2×D6111yescharacteristic
418#388—1221no—
419#388—1221no—
420#387—1221no—
421#387—1221no—
422#384—611no—
423#382—611no—
424#380—611no—
425#380—611no—
426C4×C4⋊C4—611no—
427C4×C4⋊C4C2×D6111yescharacteristic
428#340—611no—
429#340—611no—
430#340—611no—
431#340—611no—
432#340—611no—
433#340—611no—
434#340C2×D6111yescharacteristic
435#340C2×D6111yescharacteristic
436C61#2141411yescharacteristic, complemented, Sylow
437C22×D4—611no—
438C22×D4—1221no—
439C22×D4—1221no—
440C22×D4—1221no—
441C22×D4—1221no—
442C22×D4C22×D6111yescharacteristic
443C23×C4—21no—
444C23×C4—611no—
445C23×C4—1221no—
446C2×M16—1222no—
447C2×M16—1222no—
448C2×M16—1222no—
449C22×C8—611no—
450C22×C8—611no—
451C22×C8—1222no—
452C22×C8—1222no—
453C22×C8—1222no—
454C22×C8C22×D6111yescharacteristic
455C22×C8C22×D6111yescharacteristic
456#127—614no—
457#127—1222no—
458#125—614no—
459#125—1222no—
460#123—1228no—
461#123—1228no—
462#121—614no—
463#121—614no—
464#121—1228no—
465#121—1228no—
466#121—1222no—
467#121—1222no—
468C4×D4—22no—
469C4×D4—614no—
470C4×D4—1222no—
471C4×D4C4×D6114yes—
472#117—614no—
473#117—614no—
474C2×C4⋊C4—611no—
475C2×C4⋊C4—611no—
476C2×C4⋊C4—611no—
477C2×C4⋊C4—611no—
478C2×C4⋊C4—611no—
479C2×C4⋊C4—1221no—
480C2×C4⋊C4—1221no—
481C2×C4⋊C4—1221no—
482C2×C4⋊C4—1221no—
483C2×C4⋊C4C22×D6111yescharacteristic
484C2×C4⋊C4C22×D6111yescharacteristic
485C2×C4⋊C4C22×D6111yescharacteristic
486C2×C22⋊C4—21no—
487C2×C22⋊C4—611no—
488C2×C22⋊C4—611no—
489C2×C22⋊C4—1221no—
490C2×C22⋊C4—1221no—
491C2×C22⋊C4—1221no—
492C2×C22⋊C4—1221no—
493C2×C22⋊C4—1221no—
494C2×C42—21no—
495C2×C42—611no—
496C2×C42—1221no—
497C2×C42C22×D6111yescharacteristic
498#102—22no—
499#102—22no—
500#102—1222no—
501#102—1222no—
502#102—1222no—
503#102—1222no—
504#102—1222no—
505#102—1222no—
506#97—1222no—
507#97—1222no—
508C4×C8—22no—
509C4×C8—1222no—
510#95—21no—
511#95—1221no—
512#95—1221no—
513#95—1221no—
514#95—1221no—
515#95—1221no—
516C24—21no—
517C24—611no—
518C24—1221no—
519C2×D4—21no—
520C2×D4—21no—
521C2×D4—21no—
522C2×D4—21no—
523C2×D4—21no—
524C2×D4—612no—
525C2×D4—1224no—
526C2×D4—1224no—
527C2×D4—1224no—
528C2×D4—1224no—
529C2×D4—1221no—
530C2×D4—1221no—
531C2×D4—1221no—
532C2×D4—1221no—
533C2×D4—1221no—
534C2×D4—4881no—
535C2×D4—4881no—
536C2×D4—4881no—
537C2×D4—4881no—
538C2×D4—4881no—
539C2×D4—4881no—
540C2×D4—4881no—
541C2×D4—4881no—
542C2×D4C2×C4×D6112yes—
543C22×C4—21no—
544C22×C4—24no—
545C22×C4—21no—
546C22×C4—21no—
547C22×C4—81no—
548C22×C4—81no—
549C22×C4—611no—
550C22×C4—611no—
551C22×C4—611no—
552C22×C4—612no—
553C22×C4—612no—
554C22×C4—1221no—
555C22×C4—1221no—
556C22×C4—1221no—
557C22×C4—1221no—
558C22×C4—1221no—
559C22×C4—1224no—
560C22×C4—1221no—
561C22×C4—1221no—
562C22×C4—4881no—
563C22×C4—4881no—
564C22×C4D4×D6111yescharacteristic
565C22×C4D4×D6111yescharacteristic
566C22×C4C23×D6111yescharacteristic
567M16—1228no—
568C2×C8—21no—
569C2×C8—21no—
570C2×C8—21no—
571C2×C8—21no—
572C2×C8—612no—
573C2×C8—612no—
574C2×C8—1228no—
575C2×C8—1221no—
576C2×C8—1221no—
577C2×C8—1221no—
578C2×C8—1221no—
579C2×C8#1175822212yes—
580C2×C8#1175822212yes—
581C4⋊C4—21no—
582C4⋊C4—21no—
583C4⋊C4—21no—
584C4⋊C4—21no—
585C4⋊C4—21no—
586C4⋊C4—614no—
587C4⋊C4—614no—
588C4⋊C4—612no—
589C4⋊C4—1224no—
590C4⋊C4—1224no—
591C4⋊C4—1221no—
592C4⋊C4—1221no—
593C4⋊C4—1221no—
594C4⋊C4—1221no—
595C4⋊C4—1221no—
596C4⋊C4—4881no—
597C4⋊C4—4881no—
598C4⋊C4C2×C4×D6112yes—
599C22⋊C4—24no—
600C22⋊C4—614no—
601C22⋊C4—614no—
602C22⋊C4—1224no—
603C22⋊C4—1224no—
604C22⋊C4—1224no—
605C22⋊C4—4881no—
606C22⋊C4—4881no—
607C42—81no—
608C42—612no—
609C42—612no—
610C42—4881no—
611C42C2×C4×D6112yes—
612C42D4×D6112yes—
613C23—22no—
614C23—41no—
615C23—41no—
616C23—41no—
617C23—41no—
618C23—41no—
619C23—41no—
620C23—612no—
621C23—1221no—
622C23—1221no—
623C23—1221no—
624C23—1221no—
625C23—1221no—
626C23—1221no—
627C23—1222no—
628C23—2441no—
629C23—2441no—
630C23—2441no—
631C23—2441no—
632C23—2441no—
633C23—2441no—
634C23C2×D4×D6111yescharacteristic
635D4—22no—
636D4—22no—
637D4—41no—
638D4—41no—
639D4—1222no—
640D4—1222no—
641D4—4884no—
642D4—4884no—
643D4—4884no—
644D4—4884no—
645D4—2441no—
646D4—2441no—
647C2×C4—21no—
648C2×C4—21no—
649C2×C4—21no—
650C2×C4—21no—
651C2×C4—22no—
652C2×C4—41no—
653C2×C4—41no—
654C2×C4—41no—
655C2×C4—41no—
656C2×C4—41no—
657C2×C4—41no—
658C2×C4—41no—
659C2×C4—41no—
660C2×C4—84no—
661C2×C4—612no—
662C2×C4—612no—
663C2×C4—612no—
664C2×C4—1221no—
665C2×C4—1221no—
666C2×C4—1221no—
667C2×C4—1221no—
668C2×C4—1221no—
669C2×C4—1221no—
670C2×C4—1222no—
671C2×C4—1222no—
672C2×C4—1222no—
673C2×C4—1222no—
674C2×C4—1222no—
675C2×C4—4884no—
676C2×C4—2441no—
677C2×C4—2441no—
678C2×C4—2441no—
679C2×C4—2441no—
680C2×C4—2441no—
681C2×C4—2441no—
682C2×C4—2441no—
683C2×C4—2441no—
684C2×C4C22⋊C4×D6112yes—
685C2×C4C22⋊C4×D6112yes—
686C2×C4C22×C4×D6111yescharacteristic
687C2×C4C2×D4×D6111yescharacteristic
688C2×C4#41×D6111yescharacteristic
689C2×C4#41×D6111yescharacteristic
690C2×C4C2×#1175822211yescharacteristic
691C2×C4C2×#1175822211yescharacteristic
692C8—22no—
693C8—22no—
694C8—1222no—
695C8—1222no—
696C22—42no—
697C22—42no—
698C22—42no—
699C22—81no—
700C22—81no—
701C22—81no—
702C22—81no—
703C22—1222no—
704C22—1222no—
705C22—1222no—
706C22—4881no—
707C22—4881no—
708C22—4881no—
709C22—4881no—
710C22—2442no—
711C22—2442no—
712C22—2442no—
713C22—2441no—
714C22—2441no—
715C22—2441no—
716C22—2441no—
717C22C2×C22⋊C4×D6111yescharacteristic
718C22#1684030911yescharacteristic
719C22#1684030911yescharacteristic
720C22#1684056311yescharacteristic
721C22#1684056411yescharacteristic
722C22#1684056811yescharacteristic
723C22#1684056911yescharacteristic
724C4—22no—
725C4—22no—
726C4—42no—
727C4—81no—
728C4—81no—
729C4—1222no—
730C4—1222no—
731C4—1222no—
732C4—4881no—
733C4—4881no—
734C4—2442no—
735C4#1684023011yescharacteristic
736C4C4×#1175822211yescharacteristic
737C4#1684027111yescharacteristic
738C4#1684027111yescharacteristic
739C2—82no—
740C2—4882no—
741C2—2442no—
742C2#2144830511yescharacteristic
743C2#2145434011yescharacteristic
744C2#2145434111yescharacteristic
745C2#2145644311yescharacteristic
746C2#2145646511yescharacteristic
747C2#2145649811yescharacteristic
748C2#2145650611yescharacteristic
subgroupG/H
centerC23C2×D4×D61
commutatorC2×C4×C61C23×C4
FrattiniC22×C4C23×D61
FittingC4×#102×C61C2
socleC23×C61C22×D4
prime radicalC2×#16840363C2
cosocleC22×C4×C61C24
hypercenterC4×#102D61
hypocenterC61#21414
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C23 ◁ C2×C42 ◁ C4×#102

Complements

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

NH ≅ G/Ntype
2. C2×#16839716C2semidirect
3. #21448424C2semidirect
4. #21446786C2semidirect
5. #21446782C2semidirect
6. #21446641C2semidirect
7. #21446623C2semidirect
8. #21446256C2semidirect
9. #21446254C2semidirect
10. #21446246C2semidirect
11. #21446244C2semidirect
12. #21445647C2semidirect
13. #21445644C2semidirect
14. C4×#14519699C2semidirect
15. C4×#102×C61C2semidirect
19. #16840363C4semidirect
379. C4×#102D61semidirect
436. C61#21414semidirect

Maximal subgroups

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

subgroupindex
C2×#168403632
C2×#168397162
#214484242
#214467862
#214467822
#214466412
#214466232
#214462562
#214462542
#214462462
#214462442
#214456472
#214456442
C4×#145196992
C4×#102×C612
#2141461