Finite Group Databasebeta

← #29702543

Subgroups — #29702543

Order 15616.

864 conjugacy classes of subgroups.

The subgroup lattice has 748 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21455274C211yesmaximal, characteristic
2C2×#16839882C211yesmaximal, characteristic, complemented
3C2×#16839877C211yesmaximal, characteristic, complemented
4#21454562C211yesmaximal, characteristic, complemented
5#21446650C211yesmaximal, characteristic, complemented
6#21446592C211yesmaximal, characteristic, complemented
7#21446529C211yesmaximal, characteristic, complemented
8#21446522C211yesmaximal, characteristic, complemented
9#21446146C211yesmaximal, characteristic, complemented
10#21446146C211yesmaximal, characteristic, complemented
11#21446093C211yesmaximal, characteristic, complemented
12#21446093C211yesmaximal, characteristic, complemented
13#21445678C211yesmaximal, characteristic, complemented
14#21445629C211yesmaximal, characteristic, complemented
15C61×#2906C211yesmaximal, characteristic, complemented
16C2×#14519797C2211yescharacteristic
17C2×#14519797C2211yescharacteristic
18C2×#14519783C2211yescharacteristic
19C2×#14519783C2211yescharacteristic
20#16840312C2211yescharacteristic
21#16839984C411yescharacteristic, complemented
22#16839984C411yescharacteristic, complemented
23#16839977C411yescharacteristic, complemented
24#16839977C411yescharacteristic, complemented
25#16839972C411yescharacteristic, complemented
26#16839967C411yescharacteristic, complemented
27#16839962C411yescharacteristic, complemented
28#16839957C411yescharacteristic, complemented
29#16839882—24no—
30#16839877—24no—
31#16839839—21no—
32#16839832—21no—
33#16839832—21no—
34#16839827—21no—
35C2×#14519712C2211yescharacteristic
36C2×#14519712C2211yescharacteristic
37C2×C4⋊#92418C2211yescharacteristic
38C2×#14519704C2211yescharacteristic
39C2×#14519704C2211yescharacteristic
40C2×#14519703C2211yescharacteristic
41C2×#14519703C2211yescharacteristic
42C2×#14519703C2211yescharacteristic
43C2×#14519703C2211yescharacteristic
44#16839756C2211yescharacteristic
45#16839756C2211yescharacteristic
46#16839728C2211yescharacteristic
47#16839728C2211yescharacteristic
48C4×#11758194C2211yescharacteristic
49C2×#14519687C2211yescharacteristic
50C2×C8×Dic61C2211yescharacteristic
51#16839608C2211yescharacteristic
52#16839526C2211yescharacteristic
53#16839526C2211yescharacteristic
54#16839521C2211yescharacteristic
55#16839521C2211yescharacteristic
56#16839516C2211yescharacteristic
57#16839516C2211yescharacteristic
58C2×#131×C61C2211yescharacteristic
59C2×#131×C61C2211yescharacteristic
60C4×#41×C61C2211yescharacteristic
61C61×#424—21no—
62C61×#424—21no—
63C61×#424C2211yescharacteristic
64C61×#424C2211yescharacteristic
65C61×#423—21no—
66C61×#423C2211yescharacteristic
67C2×C4⋊C8×C61—21no—
68C2×C4⋊C8×C61C2211yescharacteristic
69C2×#11758222C2311yescharacteristic
70C2×#11758222C2311yescharacteristic
71#14519797—22no—
72#14519797—22no—
73#14519797—22no—
74#14519797—22no—
75C2×#11758202C2×C411yescharacteristic
76C2×#11758202C2×C411yescharacteristic
77C2×#11758200C2×C411yescharacteristic
78C2×#11758200C2×C411yescharacteristic
79C2×#11758201C2×C411yescharacteristic
80C2×#11758201C2×C411yescharacteristic
81C2×#11758199C2×C411yescharacteristic
82C2×#11758199C2×C411yescharacteristic
83#14519783—22no—
84#14519783—22no—
85#14519783—41no—
86#14519783—41no—
87C2×#11758194C2311yescharacteristic
88C2×#11758194C2311yescharacteristic
89C2×#11758189—21no—
90C2×#11758189—21no—
91C22×#92418C2311yescharacteristic
92C22×#92418C2311yescharacteristic
93C2×C8×D61—21no—
94C2×C8×D61—21no—
95#14519777C2×C411yescharacteristic
96#14519774C2×C411yescharacteristic
97#14519765C2×C411yescharacteristic
98#14519765C2×C411yescharacteristic
99#14519751—21no—
100#14519751—21no—
101C4×D244—21no—
102C4×D244—21no—
103C2×C4×Dic61C2311yescharacteristic
104C2×C4×Dic61C2311yescharacteristic
105#14519712—22no—
106#14519712—22no—
107C4⋊#92418C2×C411yescharacteristic
108C4⋊#92418C2×C411yescharacteristic
109C4⋊#92418C2×C411yescharacteristic
110C4⋊#92418C2×C411yescharacteristic
111#14519704—22no—
112#14519704D414yescomplemented
113#14519703—22no—
114#14519703—22no—
115#14519703—41no—
116#14519703—41no—
117#14519700C2×C411yescharacteristic
118#14519700C2×C411yescharacteristic
119#14519700C2×C411yescharacteristic
120#14519700C2×C411yescharacteristic
121#14519697C2×C411yescharacteristic
122#14519697C2×C411yescharacteristic
123#14519697C2×C411yescharacteristic
124#14519697C2×C411yescharacteristic
125#14519689—21no—
126#14519689—21no—
127#14519689—21no—
128#14519689—21no—
129#14519688—21no—
130#14519687—22no—
131C4×#92418—21no—
132C8×Dic61—22no—
133#14519684—21no—
134#14519684—21no—
135C2×#41×C61C2311yescharacteristic
136#131×C61—22no—
137#131×C61—22no—
138#131×C61—41no—
139#131×C61—41no—
140C2×M16×C61—21no—
141C2×M16×C61—21no—
142C2×M16×C61C2311yescharacteristic
143C2×M16×C61C2311yescharacteristic
144C22×C8×C61—21no—
145C22×C8×C61—21no—
146C22×C8×C61C2311yescharacteristic
147C22×C8×C61C2311yescharacteristic
148C4×Q8×C61C2×C411yescharacteristic
149C4×Q8×C61C2×C411yescharacteristic
150C4×D4×C61—21no—
151C4×D4×C61—21no—
152C4×D4×C61C2×C411yescharacteristic
153C4×D4×C61C2×C411yescharacteristic
154#117×C61—21no—
155#117×C61C2311yescharacteristic
156C2×C42×C61—21no—
157C2×C42×C61C2311yescharacteristic
158C4⋊C8×C61—21no—
159C4⋊C8×C61—21no—
160C4⋊C8×C61—21no—
161C4⋊C8×C61—21no—
162C4⋊C8×C61—21no—
163C4⋊C8×C61—21no—
164C4⋊C8×C61D411yescharacteristic
165C4⋊C8×C61D411yescharacteristic
166C4⋊C8×C61D411yescharacteristic
167C4⋊C8×C61D411yescharacteristic
168#41×C61—21no—
169#41×C61—21no—
170#41×C61C2×D412yes—
171#41×C61#4112yes—
172C2×Q8×C61C22×C411yescharacteristic
173C2×D4×C61—21no—
174C2×D4×C61C22×C411yescharacteristic
175C22×C4×C61—21no—
176C22×C4×C61—21no—
177C22×C4×C61—21no—
178C22×C4×C61#4111yescharacteristic
179C22×C4×C61#4111yescharacteristic
180C22×C4×C61C2411yescharacteristic
181C2×C22⋊D61—21no—
182C2×C22⋊D61—21no—
183C22×Dic61—21no—
184C22×Dic61—21no—
185#11758222—21no—
186#11758222—21no—
187#11758222—21no—
188#11758222—21no—
189#11758222—21no—
190#11758222—21no—
191#11758222—21no—
192#11758222—21no—
193C2×D244—21no—
194C2×D244—21no—
195C2×D244C22×C411yescharacteristic
196C2×D244C22×C411yescharacteristic
197C2×C4×D61—21no—
198C2×C4×D61—21no—
199C2×Dic122C22×C411yescharacteristic
200C2×Dic122C22×C411yescharacteristic
201M16×C61—21no—
202M16×C61—21no—
203M16×C61—21no—
204M16×C61—21no—
205M16×C61—42no—
206M16×C61—42no—
207C2×C8×C61—21no—
208C2×C8×C61—21no—
209C2×C8×C61—21no—
210C2×C8×C61—21no—
211C2×C8×C61—21no—
212C2×C8×C61—21no—
213C2×C8×C61—42no—
214C2×C8×C61—42no—
215C2×C8×C61C2×D411yescharacteristic
216C2×C8×C61C2×D411yescharacteristic
217C2×C8×C61C2×D411yescharacteristic
218C2×C8×C61C2×D411yescharacteristic
219C4⋊C4×C61—21no—
220C4⋊C4×C61—21no—
221C4⋊C4×C61C22×C411yescharacteristic
222C4⋊C4×C61C22×C411yescharacteristic
223C22⋊C4×C61—21no—
224C22⋊C4×C61—21no—
225C22⋊C4×C61—21no—
226C42×C61—21no—
227C42×C61—21no—
228C42×C61—21no—
229C42×C61C22×C411yescharacteristic
230C42×C61C22×C411yescharacteristic
231C42×C61C2×D411yescharacteristic
232C42×C61C2×D411yescharacteristic
233#11758202—22no—
234#11758202—22no—
235#11758201—22no—
236#11758201—22no—
237#11758200—22no—
238#11758200—22no—
239#11758199—22no—
240#11758199—22no—
241#11758198—21no—
242#11758198—21no—
243#11758198—21no—
244#11758198—21no—
245C4⋊Dic61—21no—
246C4⋊Dic61—21no—
247C4×Dic61—21no—
248C4×Dic61—21no—
249C4×Dic61—21no—
250C4×Dic61C2×D412yes—
251#11758194—21no—
252#11758194—21no—
253#11758194—21no—
254#11758194C2×D412yes—
255C2×#92418—21no—
256C2×#92418—21no—
257C2×#92418—21no—
258C2×#92418—21no—
259C2×#92418—21no—
260C2×#92418—21no—
261C2×#92418C22×C411yescharacteristic
262C2×#92418C22×C411yescharacteristic
263C2×#92418C22×C411yescharacteristic
264C2×#92418C22×C411yescharacteristic
265#11758189—42no—
266#11758189—42no—
267C8×D61—42no—
268C8×D61—42no—
269C23×C61—21no—
270C23×C61C2×#4111yescharacteristic
271C22×D61—21no—
272C22×D61—21no—
273Q8×C61—21no—
274Q8×C61C4×D412yes—
275D4×C61—22no—
276D4×C61—22no—
277D4×C61—21no—
278D4×C61C4×D412yes—
279C2×C4×C61—21no—
280C2×C4×C61—22no—
281C2×C4×C61—22no—
282C2×C4×C61—21no—
283C2×C4×C61—21no—
284C2×C4×C61—41no—
285C2×C4×C61—41no—
286C2×C4×C61—42no—
287C2×C4×C61—81no—
288C2×C4×C61C4×D411yescharacteristic
289C2×C4×C61C4×D411yescharacteristic
290C2×C4×C61C4×D411yescharacteristic
291C2×C4×C61C4×D411yescharacteristic
292C2×C4×C61C23×C411yescharacteristic
293C2×C4×C61C22×D411yescharacteristic
294C2×C4×C61C22×D411yescharacteristic
295C2×C4×C61C2×#4111yescharacteristic
296C2×C4×C61H(5,𝔽2)11yescharacteristic
297C2×C4×C612−1+411yescharacteristic
298C22⋊D61—41no—
299C22⋊D61—41no—
300C22⋊D61—41no—
301C22⋊D61—41no—
302C2×Dic61—21no—
303C2×Dic61—21no—
304C2×Dic61—22no—
305C2×Dic61—41no—
306C2×Dic61—41no—
307C2×Dic61—41no—
308C2×Dic61—41no—
309C2×Dic61—41no—
310D244—21no—
311D244—21no—
312D244—21no—
313D244—21no—
314D244—42no—
315D244—81no—
316C4×D61—41no—
317C4×D61—41no—
318C4×D61—41no—
319C4×D61—41no—
320Dic122—21no—
321Dic122—21no—
322Dic122—21no—
323Dic122—21no—
324C8×C61—21no—
325C8×C61—21no—
326C8×C61—21no—
327C8×C61—21no—
328C8×C61—41no—
329C8×C61—41no—
330#92418—21no—
331#92418—21no—
332#92418—21no—
333#92418—21no—
334#92418—22no—
335#92418—41no—
336#23017—611nomaximal, Sylow
337C22×C61—21no—
338C22×C61—21no—
339C22×C61—22no—
340C22×C61—41no—
341C22×C61—41no—
342C22×C61C2×C4×D411yescharacteristic
343C22×C61#54711yescharacteristic
344C22×C61#55311yescharacteristic
345C2×D61—41no—
346C2×D61—41no—
347C2×D61—41no—
348C2×D61—41no—
349C2×D61—41no—
350C2×D61—41no—
351C4×C61—22no—
352C4×C61—21no—
353C4×C61—21no—
354C4×C61—21no—
355C4×C61—21no—
356C4×C61—41no—
357C4×C61—41no—
358C4×C61C2×C4×D411yescharacteristic
359C4×C61#52011yescharacteristic
360C4×C61D4211yescharacteristic
361C4×C61#54811yescharacteristic
362Dic61—42no—
363Dic61—41no—
364Dic61—41no—
365Dic61—81no—
366#3035—611no—
367C2×#444—611no—
368C2×#443—611no—
369#2935—611no—
370#2906D6111yescharacteristic, complemented
371#1963—611no—
372#1950—611no—
373#1938—611no—
374#1937—611no—
375#1876—611no—
376#1876—611no—
377#1866—611no—
378#1866—611no—
379#1768—611no—
380#1759—611no—
381C2×C61—21no—
382C2×C61—21no—
383C2×C61—42no—
384C2×C61#236111yescharacteristic
385C2×C61#295511yescharacteristic
386C2×C61#295711yescharacteristic
387D61—81no—
388D61—81no—
389C2×#135—611no—
390C2×#135—611no—
391C2×#131—611no—
392C2×#131—611no—
393C2×#131C2×D6111yescharacteristic
394C2×#131C2×D6111yescharacteristic
395#532—611no—
396C4×#41C2×D6111yescharacteristic
397#464—611no—
398#464—611no—
399#463—611no—
400#463—611no—
401#462—611no—
402#461—611no—
403#460—611no—
404#459—611no—
405#444—1224no—
406#443—1224no—
407#436—1221no—
408#435—1221no—
409#435—1221no—
410C8×D4—1221no—
411C2×#108—611no—
412C2×#108—611no—
413#424—21no—
414#424—21no—
415#424C2×D6111yescharacteristic
416#424C2×D6111yescharacteristic
417#423—21no—
418#423C2×D6111yescharacteristic
419C2×C4⋊C8—21no—
420C2×C4⋊C8—611no—
421C2×C4⋊C8C2×D6111yescharacteristic
422C2×#104—611no—
423C2×#104—611no—
424C2×#104—611no—
425C2×#104—611no—
426C2×#104—611no—
427C2×#104—611no—
428#416—611no—
429#416—611no—
430#408—611no—
431#408—611no—
432C4×M16—611no—
433C2×#97—611no—
434C2×C4×C8—611no—
435#376—611no—
436#341—611no—
437#341—611no—
438#339—611no—
439#339—611no—
440#336—611no—
441#336—611no—
442C61#2301711yescharacteristic, complemented, Sylow
443C2×#41—611no—
444C2×#41—611no—
445C2×#41C22×D6111yescharacteristic
446#135—1222no—
447#135—1222no—
448#135—1222no—
449#135—1222no—
450C2×Q16—611no—
451C2×Q16—611no—
452C2×SD16—611no—
453C2×SD16—611no—
454C2×SD16—611no—
455C2×SD16—611no—
456C2×D8—611no—
457C2×D8—611no—
458#131—22no—
459#131—22no—
460#131—41no—
461#131—41no—
462#131—1222no—
463#131—1222no—
464#131—2441no—
465#131—2441no—
466C2×M16—21no—
467C2×M16—21no—
468C2×M16—611no—
469C2×M16—611no—
470C2×M16—1221no—
471C2×M16—1221no—
472C2×M16C22×D6111yescharacteristic
473C2×M16C22×D6111yescharacteristic
474C22×C8—21no—
475C22×C8—21no—
476C22×C8—611no—
477C22×C8—611no—
478C22×C8—1221no—
479C22×C8—1221no—
480C22×C8C22×D6111yescharacteristic
481C22×C8C22×D6111yescharacteristic
482C4⋊Q8—611no—
483#127—611no—
484#124—611no—
485#124—611no—
486#121—1221no—
487#121—1221no—
488C4×Q8C4×D6111yescharacteristic
489C4×Q8C4×D6111yescharacteristic
490C4×D4—21no—
491C4×D4—21no—
492C4×D4—1221no—
493C4×D4—1221no—
494C4×D4C4×D6111yescharacteristic
495C4×D4C4×D6111yescharacteristic
496#117—21no—
497#117C22×D6111yescharacteristic
498C2×C42—21no—
499C2×C42—611no—
500C2×C42—611no—
501C2×C42C22×D6111yescharacteristic
502#108—1222no—
503#108—1222no—
504C4⋊C8—21no—
505C4⋊C8—21no—
506C4⋊C8—21no—
507C4⋊C8—21no—
508C4⋊C8—21no—
509C4⋊C8—21no—
510C4⋊C8—611no—
511C4⋊C8—611no—
512C4⋊C8—611no—
513C4⋊C8—611no—
514C4⋊C8C22⋊D6111yescharacteristic
515C4⋊C8C22⋊D6111yescharacteristic
516C4⋊C8C22⋊D6111yescharacteristic
517C4⋊C8C22⋊D6111yescharacteristic
518#104—614no—
519#104—1222no—
520#104—1222no—
521#104—1222no—
522#104—2441no—
523#104—2441no—
524#103—611no—
525#103—611no—
526#103—611no—
527#103—611no—
528#102—611no—
529#102—611no—
530#102—611no—
531#102—611no—
532C22⋊C8—1221no—
533C22⋊C8—1221no—
534C22⋊C8—1221no—
535C22⋊C8—1221no—
536#97—1222no—
537#97—1221no—
538C4×C8—1222no—
539C4×C8—1221no—
540#95—1221no—
541#95—1221no—
542#41—21no—
543#41—21no—
544#41—1221no—
545#41—1221no—
546#41—1221no—
547#41—1221no—
548#41—1221no—
549#41—1221no—
550#41—1221no—
551#41—1221no—
552#41D4×D6112yes—
553#41#1175822612yes—
554C2×Q8—611no—
555C2×Q8—611no—
556C2×Q8C2×C4×D6111yescharacteristic
557C2×D4—21no—
558C2×D4—611no—
559C2×D4—611no—
560C2×D4—1221no—
561C2×D4—1221no—
562C2×D4—1221no—
563C2×D4—1221no—
564C2×D4C2×C4×D6111yescharacteristic
565C22×C4—21no—
566C22×C4—21no—
567C22×C4—21no—
568C22×C4—1221no—
569C22×C4—1221no—
570C22×C4—1221no—
571C22×C4—1221no—
572C22×C4#1175822211yescharacteristic
573C22×C4#1175822211yescharacteristic
574C22×C4C23×D6111yescharacteristic
575Q16—1222no—
576Q16—1222no—
577SD16—1222no—
578SD16—1222no—
579SD16—1222no—
580SD16—1222no—
581D8—1222no—
582D8—1222no—
583M16—21no—
584M16—21no—
585M16—21no—
586M16—21no—
587M16—42no—
588M16—42no—
589M16—612no—
590M16—1221no—
591M16—1221no—
592M16—1221no—
593M16—2442no—
594M16—2442no—
595C2×C8—21no—
596C2×C8—21no—
597C2×C8—21no—
598C2×C8—21no—
599C2×C8—21no—
600C2×C8—21no—
601C2×C8—42no—
602C2×C8—42no—
603C2×C8—611no—
604C2×C8—611no—
605C2×C8—611no—
606C2×C8—611no—
607C2×C8—1221no—
608C2×C8—1221no—
609C2×C8—1221no—
610C2×C8—1221no—
611C2×C8—1221no—
612C2×C8—1221no—
613C2×C8—2442no—
614C2×C8—2442no—
615C2×C8C2×C22⋊D6111yescharacteristic
616C2×C8C2×C22⋊D6111yescharacteristic
617C2×C8C2×C22⋊D6111yescharacteristic
618C2×C8C2×C22⋊D6111yescharacteristic
619C4⋊C4—21no—
620C4⋊C4—21no—
621C4⋊C4—1221no—
622C4⋊C4—1221no—
623C4⋊C4C2×C4×D6111yescharacteristic
624C4⋊C4C2×C4×D6111yescharacteristic
625C22⋊C4—21no—
626C22⋊C4—21no—
627C22⋊C4—21no—
628C22⋊C4—1221no—
629C22⋊C4—1221no—
630C22⋊C4—1221no—
631C22⋊C4—1221no—
632C42—21no—
633C42—21no—
634C42—21no—
635C42—612no—
636C42—1221no—
637C42—1221no—
638C42—1221no—
639C42C2×C4×D6111yescharacteristic
640C42C2×C4×D6111yescharacteristic
641C42C2×C22⋊D6111yescharacteristic
642C42C2×C22⋊D6111yescharacteristic
643C23—21no—
644C23—1221no—
645C23—1221no—
646C23C2×#1175822211yescharacteristic
647Q8—21no—
648Q8—1221no—
649Q8—1221no—
650Q8—1221no—
651Q8—1221no—
652Q8#1451973912yes—
653D4—22no—
654D4—22no—
655D4—21no—
656D4—1221no—
657D4—1221no—
658D4—1221no—
659D4—1221no—
660D4—4881no—
661D4—2442no—
662D4—2441no—
663D4—2441no—
664D4—2441no—
665D4—2441no—
666D4#1451973912yes—
667C2×C4—21no—
668C2×C4—22no—
669C2×C4—22no—
670C2×C4—21no—
671C2×C4—21no—
672C2×C4—41no—
673C2×C4—41no—
674C2×C4—42no—
675C2×C4—81no—
676C2×C4—1221no—
677C2×C4—1221no—
678C2×C4—1222no—
679C2×C4—2441no—
680C2×C4—2441no—
681C2×C4—2441no—
682C2×C4—2441no—
683C2×C4—2441no—
684C2×C4—2441no—
685C2×C4—2441no—
686C2×C4—2441no—
687C2×C4—2441no—
688C2×C4C4×C22⋊D6111yescharacteristic
689C2×C4C4×C22⋊D6111yescharacteristic
690C2×C4C4×C22⋊D6111yescharacteristic
691C2×C4C4×C22⋊D6111yescharacteristic
692C2×C4C22×C4×D6111yescharacteristic
693C2×C4C2×D4×D6111yescharacteristic
694C2×C4C22×C22⋊D6111yescharacteristic
695C2×C4C2×#1175822611yescharacteristic
696C2×C4#1451982211yescharacteristic
697C2×C4#1451982511yescharacteristic
698C8—21no—
699C8—21no—
700C8—21no—
701C8—21no—
702C8—41no—
703C8—41no—
704C8—1221no—
705C8—1221no—
706C8—1221no—
707C8—1221no—
708C8—1222no—
709C8—2441no—
710C22—21no—
711C22—21no—
712C22—22no—
713C22—41no—
714C22—41no—
715C22—2441no—
716C22—2441no—
717C22—2441no—
718C22—2441no—
719C22—2441no—
720C22—2441no—
721C22C2×C4×C22⋊D6111yescharacteristic
722C22#1684041311yescharacteristic
723C22#1684046011yescharacteristic
724C4—21no—
725C4—21no—
726C4—22no—
727C4—21no—
728C4—21no—
729C4—41no—
730C4—41no—
731C4—4881no—
732C4—2442no—
733C4—2441no—
734C4—2441no—
735C4C2×#1451973911yescharacteristic
736C4#1684024311yescharacteristic
737C4D4×C22⋊D6111yescharacteristic
738C4#1684042311yescharacteristic
739C2—21no—
740C2—21no—
741C2—42no—
742C2—4881no—
743C2—4881no—
744C2#2144883511yescharacteristic
745C2#2145472011yescharacteristic
746C2#2145473411yescharacteristic
subgroupG/H
centerC2×C4C22×C22⋊D61
commutatorC2×C4×C61C23×C4
FrattiniC22×C4C23×D61
FittingC61×#2906C2
socleC22×C61C2×C4×D4
prime radical#21455274C2
cosocleC22×C4×C61C24
hypercenter#2906D61
hypocenterC61#23017
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C2×C4 ◁ C2×C4⋊C8 ◁ #2906

Complements

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

NH ≅ G/Ntype
2. C2×#16839882C2semidirect
3. C2×#16839877C2semidirect
4. #21454562C2semidirect
5. #21446650C2semidirect
6. #21446592C2semidirect
7. #21446529C2semidirect
8. #21446522C2semidirect
9. #21446146C2semidirect
10. #21446146C2semidirect
11. #21446093C2semidirect
12. #21446093C2semidirect
13. #21445678C2semidirect
14. #21445629C2semidirect
15. C61×#2906C2semidirect
21. #16839984C4semidirect
22. #16839984C4semidirect
23. #16839977C4semidirect
24. #16839977C4semidirect
25. #16839972C4semidirect
26. #16839967C4semidirect
27. #16839962C4semidirect
28. #16839957C4semidirect
112. #14519704D4semidirect
370. #2906D61semidirect
442. C61#23017semidirect

Maximal subgroups

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

subgroupindex
#214552742
C2×#168398822
C2×#168398772
#214545622
#214466502
#214465922
#214465292
#214465222
#214461462
#214460932
#214456782
#214456292
C61×#29062
#2301761