Finite Group Databasebeta

← #29702520

Subgroups — #29702520

Order 15616.

892 conjugacy classes of subgroups.

The subgroup lattice has 752 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21455270C211yesmaximal, characteristic
2C2×#16839876C211yesmaximal, characteristic, complemented
3#21454561C211yesmaximal, characteristic, complemented
4#21454385C211yesmaximal, characteristic, complemented
5#21446645C211yesmaximal, characteristic, complemented
6#21446591C211yesmaximal, characteristic, complemented
7#21446523C211yesmaximal, characteristic, complemented
8#21446520C211yesmaximal, characteristic, complemented
9#21446148C211yesmaximal, characteristic, complemented
10#21446146C211yesmaximal, characteristic, complemented
11#21446094C211yesmaximal, characteristic, complemented
12#21446091C211yesmaximal, characteristic, complemented
13C4×#14519706C211yesmaximal, characteristic, complemented
14#104×Dic61C211yesmaximal, characteristic, complemented
15C2×C61×#443C211yesmaximal, characteristic, complemented
16C2×#14519797C2211yescharacteristic
17C2×#14519785C2211yescharacteristic
18C2×#14519784C2211yescharacteristic
19#16840308C2211yescharacteristic
20#41×Dic61C2211yescharacteristic
21#16839986C411yescharacteristic, complemented
22#16839982C411yescharacteristic, complemented
23#16839979C411yescharacteristic, complemented
24#16839975C411yescharacteristic, complemented
25#16839970C411yescharacteristic, complemented
26#16839965C411yescharacteristic, complemented
27#16839960C411yescharacteristic, complemented
28#16839955C411yescharacteristic, complemented
29#16839876—24no—
30#16839838—21no—
31#16839833—21no—
32#16839831—21no—
33C8×C22⋊D61—21no—
34C2×#14519712C2211yescharacteristic
35#16839790—21no—
36#16839790C2211yescharacteristic
37#16839788—21no—
38#16839788C2211yescharacteristic
39#16839785—21no—
40#16839785C2211yescharacteristic
41C2×#14519706—21no—
42C2×#14519706C2211yescharacteristic
43C2×#14519706C2211yescharacteristic
44C2×#14519705C2211yescharacteristic
45C2×#14519704C2211yescharacteristic
46C2×#14519704C2211yescharacteristic
47C2×#14519703C2211yescharacteristic
48#16839759C2211yescharacteristic
49#16839758C2211yescharacteristic
50#16839729C2211yescharacteristic
51#16839728C2211yescharacteristic
52M16×Dic61C2211yescharacteristic
53C2×C4×#92418C2211yescharacteristic
54C42×Dic61C2211yescharacteristic
55#16839527C2211yescharacteristic
56#16839526C2211yescharacteristic
57#16839523C2211yescharacteristic
58#16839522C2211yescharacteristic
59#16839516C2211yescharacteristic
60#16839516C2211yescharacteristic
61C2×#135×C61C2211yescharacteristic
62C2×#131×C61C2211yescharacteristic
63C2×#131×C61C2211yescharacteristic
64C61×#443—24no—
65C2×#108×C61C2211yescharacteristic
66C2×#104×C61C2211yescharacteristic
67C2×#104×C61C2211yescharacteristic
68C2×C4×C8×C61C2211yescharacteristic
69C2×#11758222C2311yescharacteristic
70#14519797—22no—
71#14519797—22no—
72C2×#11758202C2×C411yescharacteristic
73C2×#11758200C2×C411yescharacteristic
74C2×#11758201C2×C411yescharacteristic
75C2×#11758199C2×C411yescharacteristic
76#14519785—22no—
77#14519785—41no—
78#14519784—22no—
79#14519784—41no—
80C2×#11758194—21no—
81C2×#11758194C2311yescharacteristic
82C2×#11758194C2311yescharacteristic
83C2×#11758189—21no—
84C22×#92418—21no—
85C22×#92418C2311yescharacteristic
86C22×#92418C2311yescharacteristic
87C2×C8×D61—21no—
88#14519775C2×C411yescharacteristic
89#14519773C2×C411yescharacteristic
90#14519766C2×C411yescharacteristic
91#14519764C2×C411yescharacteristic
92#14519749—21no—
93#14519749—21no—
94Q8×Dic61C2×C411yescharacteristic
95Q8×Dic61C2×C411yescharacteristic
96D4×Dic61—21no—
97D4×Dic61—21no—
98D4×Dic61C2×C411yescharacteristic
99D4×Dic61C2×C411yescharacteristic
100C4×C22⋊D61—21no—
101C4×C22⋊D61—21no—
102#14519736—21no—
103#14519736C2311yescharacteristic
104C2×C4×Dic61—21no—
105C2×C4×Dic61—21no—
106C2×C4×Dic61—21no—
107C2×C4×Dic61C2311yescharacteristic
108C2×C4×Dic61C2311yescharacteristic
109#14519712—22no—
110#14519706—21no—
111#14519706—21no—
112#14519706—21no—
113#14519706—21no—
114#14519706—21no—
115#14519706—21no—
116#14519706C2×C411yescharacteristic
117#14519706C2×C411yescharacteristic
118#14519706C2×C411yescharacteristic
119#14519706C2×C411yescharacteristic
120#14519706D411yescharacteristic
121#14519706D411yescharacteristic
122#14519706D411yescharacteristic
123#14519706D411yescharacteristic
124#14519705—22no—
125#14519704—22no—
126#14519704—41no—
127#14519703—41no—
128#14519702C2×C411yescharacteristic
129#14519702C2×C411yescharacteristic
130#14519701C2×C411yescharacteristic
131#14519701C2×C411yescharacteristic
132#14519699C2×C411yescharacteristic
133#14519699C2×C411yescharacteristic
134#14519698C2×C411yescharacteristic
135#14519698C2×C411yescharacteristic
136C22⋊#92418—21no—
137C22⋊#92418—21no—
138#14519689—21no—
139#14519689—21no—
140#14519687—21no—
141C4×#92418—22no—
142C8×Dic61—21no—
143C2×#41×C61C2311yescharacteristic
144C2×#41×C61C2311yescharacteristic
145#135×C61—22no—
146#135×C61—22no—
147C2×Q16×C61C2×C411yescharacteristic
148C2×SD16×C61C2×C411yescharacteristic
149C2×SD16×C61C2×C411yescharacteristic
150C2×D8×C61C2×C411yescharacteristic
151#131×C61—22no—
152#131×C61—22no—
153#131×C61—41no—
154#131×C61—41no—
155C2×M16×C61—21no—
156C2×M16×C61—21no—
157C2×M16×C61C2311yescharacteristic
158C2×M16×C61C2311yescharacteristic
159C22×C8×C61—21no—
160C22×C8×C61—21no—
161C22×C8×C61C2311yescharacteristic
162C22×C8×C61C2311yescharacteristic
163C2×C42×C61C2311yescharacteristic
164#108×C61—22no—
165#104×C61—22no—
166#104×C61D414yescomplemented
167C4×C8×C61—22no—
168#41×C61—21no—
169#41×C61—21no—
170#41×C61—21no—
171#41×C61—21no—
172#41×C61—21no—
173#41×C61—21no—
174#41×C61C2×D412yes—
175#41×C61#4112yes—
176C2×Q8×C61C22×C411yescharacteristic
177C2×Q8×C61C22×C411yescharacteristic
178C2×D4×C61—21no—
179C2×D4×C61—21no—
180C2×D4×C61C22×C411yescharacteristic
181C2×D4×C61C22×C411yescharacteristic
182C22×C4×C61—21no—
183C22×C4×C61—21no—
184C22×C4×C61—21no—
185C22×C4×C61C2411yescharacteristic
186C2×C22⋊D61—21no—
187C2×C22⋊D61—21no—
188C2×C22⋊D61—21no—
189C22×Dic61—21no—
190C22×Dic61—21no—
191C22×Dic61—21no—
192C22×Dic61#4111yescharacteristic
193C22×Dic61#4111yescharacteristic
194#11758222—21no—
195#11758222—21no—
196#11758222—21no—
197#11758222—21no—
198C2×D244C22×C411yescharacteristic
199C2×C4×D61—21no—
200C2×Dic122C22×C411yescharacteristic
201Q16×C61—22no—
202SD16×C61—22no—
203SD16×C61—22no—
204D8×C61—22no—
205M16×C61—21no—
206M16×C61—21no—
207M16×C61—21no—
208M16×C61—42no—
209M16×C61—42no—
210M16×C61C2×D412yes—
211C2×C8×C61—21no—
212C2×C8×C61—21no—
213C2×C8×C61—21no—
214C2×C8×C61—21no—
215C2×C8×C61—21no—
216C2×C8×C61—21no—
217C2×C8×C61—42no—
218C2×C8×C61—42no—
219C2×C8×C61C22×C411yescharacteristic
220C2×C8×C61C22×C411yescharacteristic
221C2×C8×C61C2×D411yescharacteristic
222C2×C8×C61C2×D411yescharacteristic
223C42×C61—21no—
224C42×C61C2×D412yes—
225C22⋊Dic61—21no—
226C22⋊Dic61—21no—
227C22⋊Dic61—21no—
228C22⋊Dic61—21no—
229C22⋊Dic61—21no—
230#11758202—22no—
231#11758201—22no—
232#11758200—22no—
233#11758199—22no—
234#11758198—21no—
235#11758198—21no—
236C4⋊Dic61—21no—
237C4⋊Dic61—21no—
238C4⋊Dic61C22×C411yescharacteristic
239C4⋊Dic61C22×C411yescharacteristic
240#11758196—21no—
241#11758196—21no—
242C4×Dic61—24no—
243C4×Dic61—21no—
244C4×Dic61—21no—
245C4×Dic61—21no—
246C4×Dic61—21no—
247C4×Dic61—21no—
248C4×Dic61—42no—
249C4×Dic61C22×C411yescharacteristic
250C4×Dic61C22×C411yescharacteristic
251C4×Dic61C2×D411yescharacteristic
252C4×Dic61C2×D411yescharacteristic
253#11758194—21no—
254#11758194—21no—
255#11758194—21no—
256#11758194—21no—
257#11758194—42no—
258C2×#92418—21no—
259C2×#92418—21no—
260C2×#92418—21no—
261C2×#92418—21no—
262C2×#92418—21no—
263C2×#92418—21no—
264C2×#92418—42no—
265C2×#92418C22×C411yescharacteristic
266C2×#92418C22×C411yescharacteristic
267C2×#92418C2×D411yescharacteristic
268C2×#92418C2×D411yescharacteristic
269#11758189—42no—
270C8×D61—42no—
271C23×C61—21no—
272C23×C61—21no—
273C23×C61C2×#4111yescharacteristic
274C22×D61—21no—
275Q8×C61—21no—
276Q8×C61—21no—
277Q8×C61—21no—
278Q8×C61C4×D412yes—
279D4×C61—22no—
280D4×C61—22no—
281D4×C61—21no—
282D4×C61—21no—
283D4×C61—21no—
284D4×C61—41no—
285D4×C61—41no—
286D4×C61C4×D412yes—
287C2×C4×C61—22no—
288C2×C4×C61—22no—
289C2×C4×C61—21no—
290C2×C4×C61—22no—
291C2×C4×C61—22no—
292C2×C4×C61—22no—
293C2×C4×C61—21no—
294C2×C4×C61—41no—
295C2×C4×C61—41no—
296C2×C4×C61C23×C411yescharacteristic
297C2×C4×C61C22×D411yescharacteristic
298C2×C4×C61C22×D411yescharacteristic
299C2×C4×C61C2×#4111yescharacteristic
300C2×C4×C61H(5,𝔽2)11yescharacteristic
301C2×C4×C612−1+411yescharacteristic
302C22⋊D61—41no—
303C22⋊D61—41no—
304C22⋊D61—42no—
305C22⋊D61—81no—
306C2×Dic61—22no—
307C2×Dic61—22no—
308C2×Dic61—21no—
309C2×Dic61—21no—
310C2×Dic61—21no—
311C2×Dic61—41no—
312C2×Dic61—41no—
313C2×Dic61—41no—
314C2×Dic61—42no—
315C2×Dic61—81no—
316C2×Dic61C4×D411yescharacteristic
317C2×Dic61C4×D411yescharacteristic
318C2×Dic61C4×D411yescharacteristic
319C2×Dic61C4×D411yescharacteristic
320D244—21no—
321D244—21no—
322C4×D61—41no—
323C4×D61—41no—
324Dic122—21no—
325Dic122—21no—
326C8×C61—21no—
327C8×C61—21no—
328C8×C61—22no—
329C8×C61—21no—
330C8×C61—21no—
331C8×C61—41no—
332#92418—21no—
333#92418—21no—
334#92418—21no—
335#92418—21no—
336#92418—41no—
337#92418—41no—
338#23015—611nomaximal, Sylow
339C22×C61—21no—
340C22×C61—21no—
341C22×C61—22no—
342C22×C61—41no—
343C22×C61—41no—
344C22×C61—41no—
345C22×C61—41no—
346C22×C61—41no—
347C22×C61C2×C4×D411yescharacteristic
348C22×C61#54711yescharacteristic
349C22×C61#55311yescharacteristic
350C2×D61—41no—
351C2×D61—41no—
352C2×D61—41no—
353C4×C61—24no—
354C4×C61—22no—
355C4×C61—41no—
356C4×C61C2×C4×D411yescharacteristic
357C4×C61#52011yescharacteristic
358C4×C61D4211yescharacteristic
359C4×C61#54811yescharacteristic
360Dic61—21no—
361Dic61—21no—
362Dic61—21no—
363Dic61—42no—
364Dic61—41no—
365Dic61—41no—
366Dic61—41no—
367Dic61#44312yescomplemented
368#3035—611no—
369C2×#443—611no—
370C2×#443D6111yescharacteristic, complemented
371#2935—611no—
372#2906—611no—
373#1962—611no—
374#1950—611no—
375#1937—611no—
376#1937—611no—
377#1876—611no—
378#1876—611no—
379#1866—611no—
380#1866—611no—
381C4×C4⋊C8—611no—
382C4×#104—611no—
383C2×C61—21no—
384C2×C61—21no—
385C2×C61—42no—
386C2×C61—81no—
387C2×C61#236111yescharacteristic
388C2×C61C2×#44311yescharacteristic
389C2×C61#295611yescharacteristic
390D61—81no—
391C2×#135—611no—
392C2×#135C2×D6111yescharacteristic
393C2×#131—611no—
394C2×#131—611no—
395C2×#131C2×D6111yescharacteristic
396C2×#131C2×D6111yescharacteristic
397#532—611no—
398C4×#41—611no—
399#464—611no—
400#464—611no—
401#463—611no—
402#463—611no—
403#462—611no—
404#461—611no—
405#460—611no—
406#459—611no—
407#443—24no—
408#443—1224no—
409#436—1221no—
410#435—1221no—
411#435—1221no—
412C8×D4—1221no—
413C2×#108—611no—
414C2×#108C2×D6111yescharacteristic
415#424—611no—
416#424—611no—
417#424—1221no—
418#424—1221no—
419#423—611no—
420#423—1221no—
421C2×C4⋊C8—611no—
422C2×C4⋊C8—611no—
423C2×C4⋊C8—1221no—
424C2×#104—611no—
425C2×#104—611no—
426C2×#104—611no—
427C2×#104—611no—
428C2×#104C2×D6111yescharacteristic
429C2×#104C2×D6111yescharacteristic
430#416—611no—
431#416—611no—
432#408—611no—
433#408—611no—
434C4×M16—611no—
435C2×C4×C8—611no—
436C2×C4×C8C2×D6111yescharacteristic
437C43—611no—
438#341—611no—
439#341—611no—
440#339—611no—
441#339—611no—
442#336—611no—
443#336—611no—
444C61#2301511yescharacteristic, complemented, Sylow
445C2×#41—611no—
446C2×#41C22×D6111yescharacteristic
447C2×#41C22×D6111yescharacteristic
448#135—22no—
449#135—22no—
450#135—1222no—
451#135—1222no—
452C2×Q16—611no—
453C2×Q16C4×D6111yescharacteristic
454C2×SD16—611no—
455C2×SD16—611no—
456C2×SD16C4×D6111yescharacteristic
457C2×SD16C4×D6111yescharacteristic
458C2×D8—611no—
459C2×D8C4×D6111yescharacteristic
460#131—22no—
461#131—22no—
462#131—41no—
463#131—41no—
464#131—1222no—
465#131—1222no—
466#131—2441no—
467#131—2441no—
468C2×M16—21no—
469C2×M16—21no—
470C2×M16—611no—
471C2×M16—611no—
472C2×M16—1221no—
473C2×M16—1221no—
474C2×M16C22×D6111yescharacteristic
475C2×M16C22×D6111yescharacteristic
476C22×C8—21no—
477C22×C8—21no—
478C22×C8—611no—
479C22×C8—611no—
480C22×C8—1221no—
481C22×C8—1221no—
482C22×C8C22×D6111yescharacteristic
483C22×C8C22×D6111yescharacteristic
484C4⋊Q8—611no—
485#127—611no—
486#124—611no—
487#124—611no—
488#121—1221no—
489#121—1221no—
490C4×Q8—611no—
491C4×Q8—611no—
492C4×D4—611no—
493C4×D4—611no—
494C4×D4—1221no—
495C4×D4—1221no—
496C4×D4—1221no—
497C4×D4—1221no—
498#117—611no—
499#117—1221no—
500C2×C42—611no—
501C2×C42—611no—
502C2×C42—1221no—
503C2×C42—1221no—
504C2×C42—1221no—
505C2×C42C22×D6111yescharacteristic
506#108—22no—
507#108—1222no—
508C4⋊C8—611no—
509C4⋊C8—611no—
510C4⋊C8—611no—
511C4⋊C8—611no—
512C4⋊C8—611no—
513C4⋊C8—611no—
514C4⋊C8—611no—
515C4⋊C8—611no—
516C4⋊C8—1221no—
517C4⋊C8—1221no—
518C4⋊C8—1221no—
519C4⋊C8—1221no—
520C4⋊C8—1221no—
521C4⋊C8—1221no—
522#104—22no—
523#104—1222no—
524#104—1222no—
525#104—2441no—
526#104—2441no—
527#104C22⋊D6114yescomplemented
528#103—611no—
529#103—611no—
530#103—611no—
531#103—611no—
532#102—611no—
533#102—611no—
534#102—611no—
535#102—611no—
536C22⋊C8—1221no—
537C22⋊C8—1221no—
538C22⋊C8—1221no—
539C22⋊C8—1221no—
540#97—1221no—
541C4×C8—22no—
542C4×C8—1221no—
543C4×C8—1222no—
544#41—21no—
545#41—21no—
546#41—21no—
547#41—21no—
548#41—21no—
549#41—21no—
550#41—1221no—
551#41—1221no—
552#41—1221no—
553#41—1221no—
554#41#1175822212yes—
555#41C2×C22⋊D6112yes—
556C2×Q8—611no—
557C2×Q8C2×C4×D6111yescharacteristic
558C2×Q8C2×C4×D6111yescharacteristic
559C2×D4—21no—
560C2×D4—21no—
561C2×D4—611no—
562C2×D4—1221no—
563C2×D4—1221no—
564C2×D4—1221no—
565C2×D4C2×C4×D6111yescharacteristic
566C2×D4C2×C4×D6111yescharacteristic
567C22×C4—21no—
568C22×C4—21no—
569C22×C4—21no—
570C22×C4—611no—
571C22×C4—611no—
572C22×C4—1221no—
573C22×C4—1221no—
574C22×C4—1221no—
575C22×C4—1221no—
576C22×C4C23×D6111yescharacteristic
577Q16—22no—
578Q16—1222no—
579SD16—22no—
580SD16—22no—
581SD16—1222no—
582SD16—1222no—
583D8—22no—
584D8—1222no—
585M16—21no—
586M16—21no—
587M16—21no—
588M16—42no—
589M16—42no—
590M16—1221no—
591M16—1221no—
592M16—1221no—
593M16—1221no—
594M16—2442no—
595M16—2442no—
596M16C2×C22⋊D6112yes—
597C2×C8—21no—
598C2×C8—21no—
599C2×C8—21no—
600C2×C8—21no—
601C2×C8—21no—
602C2×C8—21no—
603C2×C8—42no—
604C2×C8—42no—
605C2×C8—611no—
606C2×C8—611no—
607C2×C8—611no—
608C2×C8—611no—
609C2×C8—1221no—
610C2×C8—1221no—
611C2×C8—1221no—
612C2×C8—1221no—
613C2×C8—1221no—
614C2×C8—1221no—
615C2×C8—2442no—
616C2×C8—2442no—
617C2×C8C2×C4×D6111yescharacteristic
618C2×C8C2×C4×D6111yescharacteristic
619C2×C8D4×D6111yescharacteristic
620C2×C8D4×D6111yescharacteristic
621C4⋊C4—611no—
622C4⋊C4—611no—
623C4⋊C4—1221no—
624C4⋊C4—1221no—
625C4⋊C4—1221no—
626C4⋊C4—1221no—
627C22⋊C4—1221no—
628C22⋊C4—1221no—
629C22⋊C4—1221no—
630C22⋊C4—1221no—
631C22⋊C4—1221no—
632C22⋊C4—1221no—
633C22⋊C4—1221no—
634C42—21no—
635C42—611no—
636C42—611no—
637C42—611no—
638C42—611no—
639C42—1221no—
640C42—1221no—
641C42—1224no—
642C42—1221no—
643C42—1221no—
644C42—1221no—
645C42—2442no—
646C42C2×C22⋊D6112yes—
647C23—21no—
648C23—21no—
649C23—1221no—
650C23#41×D6111yescharacteristic
651Q8—21no—
652Q8—21no—
653Q8—21no—
654Q8—1221no—
655Q8—1221no—
656Q8C4×C22⋊D6112yes—
657D4—22no—
658D4—22no—
659D4—21no—
660D4—21no—
661D4—21no—
662D4—41no—
663D4—41no—
664D4—1221no—
665D4—1221no—
666D4—4881no—
667D4—2442no—
668D4—2441no—
669D4—2441no—
670D4C4×C22⋊D6112yes—
671C2×C4—22no—
672C2×C4—22no—
673C2×C4—21no—
674C2×C4—22no—
675C2×C4—22no—
676C2×C4—22no—
677C2×C4—21no—
678C2×C4—41no—
679C2×C4—41no—
680C2×C4—611no—
681C2×C4—611no—
682C2×C4—611no—
683C2×C4—611no—
684C2×C4—1222no—
685C2×C4—1222no—
686C2×C4—1221no—
687C2×C4—1221no—
688C2×C4—1221no—
689C2×C4—4881no—
690C2×C4—2442no—
691C2×C4—2441no—
692C2×C4—2441no—
693C2×C4—2441no—
694C2×C4—2441no—
695C2×C4—2441no—
696C2×C4C22×C4×D6111yescharacteristic
697C2×C4C2×D4×D6111yescharacteristic
698C2×C4C22×C22⋊D6111yescharacteristic
699C2×C4C2×#1175822211yescharacteristic
700C2×C4#1451982211yescharacteristic
701C2×C4#1451982411yescharacteristic
702C8—21no—
703C8—21no—
704C8—21no—
705C8—21no—
706C8—22no—
707C8—41no—
708C8—1221no—
709C8—1221no—
710C8—1221no—
711C8—1221no—
712C8—2441no—
713C8—2441no—
714C22—21no—
715C22—21no—
716C22—22no—
717C22—41no—
718C22—41no—
719C22—41no—
720C22—41no—
721C22—41no—
722C22—2441no—
723C22—2441no—
724C22—2441no—
725C22C4×D4×D6111yescharacteristic
726C22#1684041111yescharacteristic
727C22#1684046111yescharacteristic
728C4—24no—
729C4—22no—
730C4—41no—
731C4—612no—
732C4—1221no—
733C4—1221no—
734C4—1221no—
735C4—2442no—
736C4—2441no—
737C4—2441no—
738C4—2441no—
739C4C2×C4×C22⋊D6111yescharacteristic
740C4#1684024111yescharacteristic
741C4D4×C22⋊D6111yescharacteristic
742C4#1684042111yescharacteristic
743C2—21no—
744C2—21no—
745C2—42no—
746C2—81no—
747C2—4881no—
748C2#2144883611yescharacteristic
749C2#443×D6111yescharacteristic
750C2#2145472411yescharacteristic
subgroupG/H
centerC2×C4C2×D4×D61
commutatorC2×C4×C61C23×C4
FrattiniC22×C4C23×D61
FittingC2×C61×#443C2
socleC22×C61C2×C4×D4
prime radical#21455270C2
cosocleC22×C4×C61C24
hypercenterC2×#443D61
hypocenterC61#23015
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C2×C4 ◁ C22×C8 ◁ C2×#443

Complements

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

NH ≅ G/Ntype
2. C2×#16839876C2semidirect
3. #21454561C2semidirect
4. #21454385C2semidirect
5. #21446645C2semidirect
6. #21446591C2semidirect
7. #21446523C2semidirect
8. #21446520C2semidirect
9. #21446148C2semidirect
10. #21446146C2semidirect
11. #21446094C2semidirect
12. #21446091C2semidirect
13. C4×#14519706C2semidirect
14. #104×Dic61C2semidirect
15. C2×C61×#443C2semidirect
21. #16839986C4semidirect
22. #16839982C4semidirect
23. #16839979C4semidirect
24. #16839975C4semidirect
25. #16839970C4semidirect
26. #16839965C4semidirect
27. #16839960C4semidirect
28. #16839955C4semidirect
166. #104×C61D4semidirect
367. Dic61#443semidirect
370. C2×#443D61semidirect
444. C61#23015semidirect
527. #104C22⋊D61semidirect

Maximal subgroups

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

subgroupindex
#214552702
C2×#168398762
#214545612
#214543852
#214466452
#214465912
#214465232
#214465202
#214461482
#214461462
#214460942
#214460912
C4×#145197062
#104×Dic612
C2×C61×#4432
#2301561