Finite Group Databasebeta

← #10843145

Subgroups — #10843145

Order 768.

1050 conjugacy classes of subgroups.

The subgroup lattice has 816 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C3×#2897C211yesmaximal, characteristic, complemented
2#84105C211yesmaximal, characteristic, complemented
3C2×#5241C211yesmaximal, characteristic
4C2×#5141C211yesmaximal, characteristic, complemented
5#82564C211yesmaximal, characteristic, complemented
6#78863C211yesmaximal, characteristic, complemented
7#72017C211yesmaximal, characteristic, complemented
8#71666C211yesmaximal, characteristic, complemented
9#70323C211yesmaximal, characteristic, complemented
10#70315C211yesmaximal, characteristic, complemented
11#70309C211yesmaximal, characteristic, complemented
12#70307C211yesmaximal, characteristic, complemented
13#70291C211yesmaximal, characteristic, complemented
14#70210C211yesmaximal, characteristic, complemented
15#70197C211yesmaximal, characteristic, complemented
16#25187—31nomaximal, Sylow
17C2×C3×H(5,𝔽2)C2211yescharacteristic
18C2×C3×#131C2211yescharacteristic
19C3×#520C2211yescharacteristic
20#5825C2211yescharacteristic
21C2×#951C2211yescharacteristic
22C2×#949C2211yescharacteristic
23C2×#949C2211yescharacteristic
24C2×#940C2211yescharacteristic
25C22×#214C2211yescharacteristic
26C22×#204C2211yescharacteristic, complemented
27#5521C2211yescharacteristic, complemented
28C3×#418—21no—
29C3×#418C2211yescharacteristic
30C3×#417—21no—
31C3×#417C2211yescharacteristic
32C3×#416—21no—
33C3×#416C2211yescharacteristic
34C2×C3×#102—21no—
35C2×C3×#102C2211yescharacteristic
36#5241—24no—
37#5239—21no—
38#5239—21no—
39C2×#837C2211yescharacteristic
40C2×#837C2211yescharacteristic
41#5234C2211yescharacteristic
42#5233C2211yescharacteristic
43#5218—21no—
44#5218—21no—
45C2×#833C2211yescharacteristic
46#5215C2211yescharacteristic
47#5141—24no—
48C2×#824C2211yescharacteristic, complemented
49C2×#823C2211yescharacteristic, complemented
50C2×#822C2211yescharacteristic, complemented
51C2×#819C2211yescharacteristic, complemented
52#5102C2211yescharacteristic, complemented
53#5026—21no—
54C4×#215—21no—
55#5014—21no—
56C4×#213—21no—
57#5004C2211yescharacteristic, complemented
58#4997C2211yescharacteristic, complemented
59#4973C2211yescharacteristic, complemented
60C2×#809C2211yescharacteristic, complemented
61#4964C2211yescharacteristic, complemented
62#4818—21no—
63#4818—21no—
64#4787—21no—
65#4787—21no—
66#4555C2211yescharacteristic, complemented
67#4550C2211yescharacteristic, complemented
68#4532C2211yescharacteristic, complemented
69#4530C2211yescharacteristic, complemented
70C2×#471—31no—
71#3042—31no—
72C2×#453—31no—
73#3009—31no—
74#2946—31no—
75#2897D311yescharacteristic, complemented
76#2063—31no—
77#2051—31no—
78#2038—31no—
79#2014—31no—
80#1977—31no—
81#1929—31no—
82#1887—31no—
83#1882—31no—
84#1866—31no—
85C3×H(5,𝔽2)—22no—
86C3×H(5,𝔽2)—22no—
87C3×H(5,𝔽2)—22no—
88C3×H(5,𝔽2)—41no—
89C2×C3×#41—21no—
90C2×C3×#41—21no—
91C2×C3×#41C2311yescharacteristic
92C2×C3×#41C2311yescharacteristic
93C22×C3×D4—21no—
94C22×C3×D4—21no—
95C22×C3×D4—41no—
96C22×C3×D4C2311yescharacteristic
97C22×#67—41no—
98C22×D12C2311yescharacteristic
99C22×Dic6C2311yescharacteristic
100C3×#131—22no—
101C3×#131—41no—
102C2×C3×M16—21no—
103C2×C3×M16C2311yescharacteristic
104C22×C3×C8—21no—
105C22×C3×C8C2311yescharacteristic
106C3×C4×Q8—21no—
107C3×C4×D4—21no—
108C3×C4×D4—41no—
109C3×#117—21no—
110C3×#117C2311yescharacteristic
111C2×C3×C4⋊C4—21no—
112C2×C3×C4⋊C4C2311yescharacteristic
113#951—22no—
114#951—22no—
115#949—22no—
116#949—22no—
117#949—41no—
118#949D414yes—
119#944—21no—
120C2×#216—21no—
121C2×#215—21no—
122C2×#215—21no—
123#940—22no—
124#940—22no—
125#936—21no—
126#935—41no—
127C2×#214—21no—
128C2×#214—22no—
129C2×#214—21no—
130C2×#214—21no—
131C2×#214—41no—
132C2×#213—21no—
133C2×#213—21no—
134#926C2311yescharacteristic
135#924—21no—
136#924—21no—
137C2×C4×Dic3C2311yescharacteristic
138C2×#208C2311yescharacteristic
139C2×#208C2311yescharacteristic
140C2×#208C2311yescharacteristic
141C22×C3⋊C8C2311yescharacteristic
142C2×#204—22no—
143C2×#204—21no—
144C2×#204—21no—
145C2×#204—41no—
146#893—21no—
147#893—21no—
148D3×C22⋊C4—41no—
149C4×D12—21no—
150C4×D12—21no—
151C3×#103—21no—
152C3×#103D411yescharacteristic, complemented
153C3×#103D411yescharacteristic, complemented
154C3×#102—21no—
155C3×#102—21no—
156C3×#102—21no—
157C3×#102—21no—
158C3×#102—21no—
159C3×#102D411yescharacteristic, complemented
160C3×#102D411yescharacteristic, complemented
161#837—22no—
162#837—22no—
163#835D411yescharacteristic, complemented
164#835D411yescharacteristic, complemented
165#833—22no—
166#832—21no—
167#832—21no—
168#832D411yescharacteristic, complemented
169#832D411yescharacteristic, complemented
170C3⋊#95—41no—
171#830—21no—
172#830—21no—
173#824—22no—
174#823—22no—
175#822—41no—
176#819—22no—
177Dic3⋊C8—21no—
178Dic3⋊C8—21no—
179#810—21no—
180#810—21no—
181#809—21no—
182#809—21no—
183#808—21no—
184#807—21no—
185#803—21no—
186C4×C3⋊C8—21no—
187C2×H(5,𝔽2)C2×D311yescharacteristic
188C2×#137—31no—
189C2×AGL(1,ℤ/8)—31no—
190C2×AGL(1,ℤ/8)—31no—
191C22×SD16—31no—
192C22×SD16—31no—
193C2×#131C2×D311yescharacteristic
194#536—31no—
195C2×#127—31no—
196#520C2×D311yescharacteristic
197#518—31no—
198#471—64no—
199#463—61no—
200#463—61no—
201#461—61no—
202#461—61no—
203#453—64no—
204#452—61no—
205#452—61no—
206#450—61no—
207#450—61no—
208#442—61no—
209#440—61no—
210C4×SD16—61no—
211C4×D8—61no—
212C2×#108—31no—
213C2×#108—31no—
214#428—31no—
215#424—31no—
216C2×#104—31no—
217C2×#104—31no—
218#419—31no—
219#418—21no—
220#418—31no—
221#418C2×D311yescharacteristic
222#417—21no—
223#417C2×D311yescharacteristic
224#416—21no—
225#416—31no—
226#416C2×D311yescharacteristic
227C2×#102—21no—
228C2×#102—31no—
229C2×#102C2×D311yescharacteristic
230C2×#101—31no—
231C2×#100—31no—
232C2×#100—31no—
233#408—31no—
234#405—31no—
235#391—31no—
236#343—31no—
237#339—31no—
238#339—31no—
239#336—31no—
240C24×C3—21no—
241C24×C3—41no—
242C23×D3—21no—
243C3×#41—21no—
244C3×#41—21no—
245C3×#41—24no—
246C3×#41—21no—
247C3×#41—21no—
248C3×#41—21no—
249C3×#41—21no—
250C3×#41—42no—
251C3×#41—42no—
252C3×#41—42no—
253C3×#41C2×D412yes—
254C3×#41#4112yes—
255C2×C3×Q8C2×D411yescharacteristic
256C2×C3×Q8C2×D411yescharacteristic
257C2×C3×D4—21no—
258C2×C3×D4—24no—
259C2×C3×D4—21no—
260C2×C3×D4—21no—
261C2×C3×D4—21no—
262C2×C3×D4—21no—
263C2×C3×D4—21no—
264C2×C3×D4—21no—
265C2×C3×D4—42no—
266C2×C3×D4—41no—
267C2×C3×D4—41no—
268C2×C3×D4—42no—
269C2×C3×D4—44no—
270C2×C3×D4—44no—
271C2×C3×D4—42no—
272C2×C3×D4C2×D411yescharacteristic
273C2×C3×D4C2×D411yescharacteristic
274C2×C3×D4#4112yes—
275C22×C3×C4—21no—
276C22×C3×C4—21no—
277C22×C3×C4—21no—
278C22×C3×C4—41no—
279C22×C3×C4—41no—
280C22×C3×C4C2411yescharacteristic
281C2×#67—44no—
282C2×#67—82no—
283C2×#67—82no—
284C22×Dic3—21no—
285C22×Dic3—21no—
286C2×D12—21no—
287C2×D12—21no—
288C2×D12—21no—
289C2×D12—21no—
290C2×D12—21no—
291C2×D12C2×D412yes—
292C2×C4×D3—41no—
293C2×C4×D3—41no—
294C2×Dic6—21no—
295C2×Dic6—21no—
296C2×Dic6—21no—
297C2×Dic6—21no—
298C2×Dic6—21no—
299C2×Dic6—21no—
300C3×M16—21no—
301C3×M16—21no—
302C3×M16—42no—
303C2×C3×C8—21no—
304C2×C3×C8—21no—
305C2×C3×C8—21no—
306C2×C3×C8—42no—
307C2×C3×C8C2×D411yescharacteristic
308C2×C3×C8C2×D411yescharacteristic
309C3×C4⋊C4—21no—
310C3×C4⋊C4—21no—
311C3×C4⋊C4—41no—
312C3×C4⋊C4C2×D411yescharacteristic
313C3×C4⋊C4C2×D411yescharacteristic
314C3×C22⋊C4—21no—
315C3×C22⋊C4—41no—
316C3×C42—21no—
317C3×C42—41no—
318#217—21no—
319#217—41no—
320#217—41no—
321#216—42no—
322#215—24no—
323#215—42no—
324#214—42no—
325#214—42no—
326#214—42no—
327#213—24no—
328#213—42no—
329(C2×D3)⋊C4—41no—
330(C2×D3)⋊C4—41no—
331C4⋊Dic3C2×D411yescharacteristic
332C4⋊Dic3C2×D411yescharacteristic
333Dic3⋊C4—41no—
334Dic3⋊C4—41no—
335C4×Dic3—21no—
336C4×Dic3—21no—
337C4×Dic3—21no—
338#208—21no—
339#208—21no—
340#208—21no—
341#208—21no—
342#208—21no—
343#208C2×D412yes—
344C2×C3⋊C8—21no—
345C2×C3⋊C8—21no—
346C2×C3⋊C8—21no—
347C2×C3⋊C8—21no—
348C2×C3⋊C8—21no—
349C2×C3⋊C8C2×D411yescharacteristic
350C2×C3⋊C8C2×D411yescharacteristic
351#204—42no—
352#204—42no—
353H(5,𝔽2)—22no—
354H(5,𝔽2)—22no—
355H(5,𝔽2)—22no—
356H(5,𝔽2)—41no—
357C2×#41—21no—
358C2×#41—21no—
359C2×#41C22×D311yescharacteristic
360C2×#41C22×D311yescharacteristic
361C22×Q8—31no—
362C22×D4—21no—
363C22×D4—21no—
364C22×D4—31no—
365C22×D4—41no—
366C22×D4—121no—
367C22×D4C22×D311yescharacteristic
368#137—62no—
369#137—62no—
370AGL(1,ℤ/8)—34no—
371AGL(1,ℤ/8)—62no—
372AGL(1,ℤ/8)—62no—
373AGL(1,ℤ/8)—121no—
374C2×Q16—61no—
375C2×SD16—62no—
376C2×SD16—61no—
377C2×SD16—61no—
378C2×SD16—61no—
379C2×SD16—61no—
380C2×SD16—62no—
381C2×SD16—61no—
382C2×SD16—61no—
383C2×SD16—61no—
384C2×SD16—121no—
385C2×SD16—121no—
386C2×D8—61no—
387C2×D8—61no—
388#131—22no—
389#131—41no—
390C2×M16—21no—
391C2×M16—31no—
392C2×M16—31no—
393C2×M16—31no—
394C2×M16C22×D311yescharacteristic
395C22×C8—21no—
396C22×C8—31no—
397C22×C8C22×D311yescharacteristic
398C4⋊Q8—61no—
399#127—62no—
400#127—62no—
401#124—61no—
402#123—121no—
403C22⋊Q8—61no—
404C22⋊Q8—61no—
405C4×Q8—21no—
406C4×D4—21no—
407C4×D4—41no—
408C4×D4—61no—
409C4×D4—61no—
410C4×D4—61no—
411C4×D4—61no—
412#117—21no—
413#117—31no—
414#117C22×D311yescharacteristic
415C2×C4⋊C4—21no—
416C2×C4⋊C4C22×D311yescharacteristic
417C2×C22⋊C4—121no—
418C2×C42—31no—
419#108—62no—
420#108—121no—
421#107—61no—
422#106—61no—
423C4⋊C8—61no—
424C4⋊C8—61no—
425#104—62no—
426#104—62no—
427#103—21no—
428#103—31no—
429#103—31no—
430#103—61no—
431#103—61no—
432#103#6711yescharacteristic, complemented
433#103#6711yescharacteristic, complemented
434#102—21no—
435#102—21no—
436#102—21no—
437#102—21no—
438#102—21no—
439#102—31no—
440#102—31no—
441#102—61no—
442#102—61no—
443#102—61no—
444#102—61no—
445#102#6711yescharacteristic, complemented
446#102#6711yescharacteristic, complemented
447#101—62no—
448#100—62no—
449#100—62no—
450C22⋊C8—61no—
451C22⋊C8—61no—
452#97—61no—
453C4×C8—61no—
454#95—121no—
455C23×C3—21no—
456C23×C3—21no—
457C23×C3—22no—
458C23×C3—44no—
459C23×C3—41no—
460C23×C3—41no—
461C23×C3—81no—
462C23×C3—81no—
463C23×C3—161no—
464C23×C3—161no—
465C23×C3H(5,𝔽2)11yescharacteristic
466C22×D3—22no—
467C22×D3—41no—
468C22×D3—41no—
469C22×D3—81no—
470C22×D3—81no—
471C3×Q8—21no—
472C3×Q8—21no—
473C3×Q8—21no—
474C3×Q8#12112yes—
475C3×D4—22no—
476C3×D4—22no—
477C3×D4—21no—
478C3×D4—22no—
479C3×D4—21no—
480C3×D4—21no—
481C3×D4—22no—
482C3×D4—44no—
483C3×D4—44no—
484C3×D4—41no—
485C3×D4—41no—
486C3×D4—41no—
487C3×D4—41no—
488C3×D4#12112yes—
489C2×C3×C4—21no—
490C2×C3×C4—22no—
491C2×C3×C4—22no—
492C2×C3×C4—21no—
493C2×C3×C4—21no—
494C2×C3×C4—21no—
495C2×C3×C4—44no—
496C2×C3×C4—41no—
497C2×C3×C4—41no—
498C2×C3×C4—41no—
499C2×C3×C4—81no—
500C2×C3×C4—161no—
501C2×C3×C4C22×D411yescharacteristic
502C2×C3×C4C22×D411yescharacteristic
503C2×C3×C4C22×D411yescharacteristic
504C2×C3×C4C2×#4111yescharacteristic
505C2×C3×C4C2×#4111yescharacteristic
506C2×C3×C4H(5,𝔽2)11yescharacteristic
507#67—88no—
508C2×Dic3—22no—
509C2×Dic3—21no—
510C2×Dic3—21no—
511C2×Dic3—41no—
512C2×Dic3—41no—
513C2×Dic3—41no—
514C2×Dic3—41no—
515C2×Dic3—41no—
516D12—22no—
517D12—22no—
518D12—41no—
519D12—41no—
520C4×D3—161no—
521C4×D3—161no—
522Dic6—41no—
523Dic6—41no—
524Dic6—41no—
525Dic6—41no—
526C3×C8—21no—
527C3×C8—21no—
528C3×C8—41no—
529C3⋊C8—22no—
530C3⋊C8—21no—
531C3⋊C8—21no—
532C3⋊C8—41no—
533C3⋊C8—41no—
534C24—21no—
535C24—41no—
536C24—61no—
537#41—21no—
538#41—21no—
539#41—24no—
540#41—21no—
541#41—21no—
542#41—21no—
543#41—21no—
544#41—42no—
545#41—42no—
546#41—42no—
547#41#23512yes—
548#41D3×D412yes—
549C2×Q8—61no—
550C2×Q8—61no—
551C2×Q8—61no—
552C2×Q8—61no—
553C2×Q8—61no—
554C2×Q8—61no—
555C2×Q8D3×D411yescharacteristic
556C2×Q8C2×#6711yescharacteristic
557C2×D4—21no—
558C2×D4—24no—
559C2×D4—21no—
560C2×D4—21no—
561C2×D4—21no—
562C2×D4—21no—
563C2×D4—21no—
564C2×D4—21no—
565C2×D4—32no—
566C2×D4—42no—
567C2×D4—41no—
568C2×D4—41no—
569C2×D4—42no—
570C2×D4—44no—
571C2×D4—44no—
572C2×D4—42no—
573C2×D4—61no—
574C2×D4—61no—
575C2×D4—61no—
576C2×D4—61no—
577C2×D4—61no—
578C2×D4—124no—
579C2×D4—242no—
580C2×D4—242no—
581C2×D4#23512yes—
582C2×D4D3×D411yescharacteristic
583C2×D4C2×#6711yescharacteristic
584C22×C4—21no—
585C22×C4—21no—
586C22×C4—21no—
587C22×C4—41no—
588C22×C4—41no—
589C22×C4—61no—
590C22×C4—61no—
591C22×C4—121no—
592C22×C4—121no—
593C22×C4C23×D311yescharacteristic
594Q16—122no—
595SD16—64no—
596SD16—122no—
597SD16—122no—
598SD16—122no—
599SD16—122no—
600SD16—122no—
601SD16—122no—
602D8—64no—
603D8—122no—
604M16—21no—
605M16—21no—
606M16—32no—
607M16—42no—
608M16—61no—
609M16—61no—
610M16—61no—
611M16—61no—
612M16—61no—
613C2×C8—21no—
614C2×C8—21no—
615C2×C8—21no—
616C2×C8—31no—
617C2×C8—31no—
618C2×C8—42no—
619C2×C8—61no—
620C2×C8—61no—
621C2×C8—61no—
622C2×C8—61no—
623C2×C8—61no—
624C2×C8C2×#6711yescharacteristic
625C2×C8C2×#6711yescharacteristic
626C4⋊C4—21no—
627C4⋊C4—21no—
628C4⋊C4—31no—
629C4⋊C4—31no—
630C4⋊C4—41no—
631C4⋊C4—121no—
632C4⋊C4—121no—
633C4⋊C4C2×#6711yescharacteristic
634C4⋊C4C2×#6711yescharacteristic
635C22⋊C4—21no—
636C22⋊C4—41no—
637C22⋊C4—61no—
638C22⋊C4—121no—
639C22⋊C4—121no—
640C22⋊C4—121no—
641C22⋊C4—121no—
642C42—21no—
643C42—41no—
644C42—61no—
645C42—61no—
646C42—61no—
647C22×C3—21no—
648C22×C3—21no—
649C22×C3—22no—
650C22×C3—41no—
651C22×C3—41no—
652C22×C3—41no—
653C22×C3—42no—
654C22×C3—41no—
655C22×C3—41no—
656C22×C3—82no—
657C22×C3—81no—
658C22×C3—81no—
659C22×C3—161no—
660C22×C3—164no—
661C22×C3#53811yescharacteristic
662C22×C3D4211yescharacteristic
663C22×C3#54611yescharacteristic
664C2×D3—42no—
665C2×D3—81no—
666C2×D3—81no—
667C2×D3—82no—
668C2×D3—161no—
669C3×C4—22no—
670C3×C4—41no—
671C3×C4—41no—
672C3×C4—41no—
673C3×C4—81no—
674C3×C4C2×#12111yescharacteristic
675C3×C4#52511yescharacteristic
676C3×C4D4211yescharacteristic
677C3×C4#54611yescharacteristic
678Dic3—42no—
679Dic3—41no—
680Dic3—41no—
681Dic3—81no—
682C23—21no—
683C23—21no—
684C23—22no—
685C23—44no—
686C23—41no—
687C23—41no—
688C23—62no—
689C23—81no—
690C23—81no—
691C23—121no—
692C23—121no—
693C23—161no—
694C23—161no—
695C23—241no—
696C23—241no—
697C23#100411yescharacteristic
698Q8—21no—
699Q8—21no—
700Q8—21no—
701Q8—121no—
702Q8—121no—
703Q8—121no—
704Q8—121no—
705Q8#88412yes—
706D4—22no—
707D4—22no—
708D4—21no—
709D4—22no—
710D4—22no—
711D4—21no—
712D4—21no—
713D4—44no—
714D4—44no—
715D4—41no—
716D4—41no—
717D4—41no—
718D4—41no—
719D4—62no—
720D4—62no—
721D4—121no—
722D4—121no—
723D4—248no—
724D4#88412yes—
725C2×C4—21no—
726C2×C4—22no—
727C2×C4—22no—
728C2×C4—21no—
729C2×C4—21no—
730C2×C4—21no—
731C2×C4—44no—
732C2×C4—41no—
733C2×C4—41no—
734C2×C4—41no—
735C2×C4—62no—
736C2×C4—61no—
737C2×C4—61no—
738C2×C4—81no—
739C2×C4—121no—
740C2×C4—121no—
741C2×C4—121no—
742C2×C4—121no—
743C2×C4—121no—
744C2×C4—161no—
745C2×C4—481no—
746C2×C4—481no—
747C2×C4C2×#23511yescharacteristic
748C2×C4C2×#23511yescharacteristic
749C2×C4C2×D3×D411yescharacteristic
750C2×C4C2×D3×D411yescharacteristic
751C2×C4#100411yescharacteristic
752C2×C4C22×#6711yescharacteristic
753C8—21no—
754C8—21no—
755C8—41no—
756C8—62no—
757C8—61no—
758C8—61no—
759C8—121no—
760C8—121no—
761C2×C3—21no—
762C2×C3—21no—
763C2×C3—42no—
764C2×C3—81no—
765C2×C3—82no—
766C2×C3#242411yescharacteristic
767C2×C3#328811yescharacteristic
768C2×C3#329111yescharacteristic
769D3—82no—
770C22—21no—
771C22—21no—
772C22—22no—
773C22—41no—
774C22—41no—
775C22—41no—
776C22—41no—
777C22—41no—
778C22—42no—
779C22—82no—
780C22—81no—
781C22—81no—
782C22—122no—
783C22—161no—
784C22—164no—
785C22—242no—
786C22—241no—
787C22—241no—
788C22—481no—
789C22#549011yescharacteristic
790C22#549411yescharacteristic
791C22D4×#6711yescharacteristic
792C4—22no—
793C4—41no—
794C4—41no—
795C4—41no—
796C4—81no—
797C4—122no—
798C4—121no—
799C4—121no—
800C4—241no—
801C4C2×#88411yescharacteristic
802C4#549011yescharacteristic
803C4#579111yescharacteristic
804C4D4×#6711yescharacteristic
805C3#2518711yescharacteristic, complemented, Sylow
806C2—21no—
807C2—21no—
808C2—42no—
809C2—81no—
810C2—82no—
811C2—242no—
812C2#8210911yescharacteristic
813C2#8400911yescharacteristic
814C2#8401411yescharacteristic
subgroupG/H
centerC22D4×#67
commutator, cosocleC22×C3×C4C24
FrattiniC22×C4C23×D3
FittingC3×#2897C2
socleC22×C3D42
prime radicalC2×#5241C2
hypercenter#2897D3
hypocenterC3#25187
LCSG ▷ C22×C3×C4 ▷ C2×C3 ▷ C3
UCSC1 ◁ C22 ◁ C22×C4 ◁ #2897

Complements

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

NH ≅ G/Ntype
1. C3×#2897C2semidirect
2. #84105C2semidirect
4. C2×#5141C2semidirect
5. #82564C2semidirect
6. #78863C2semidirect
7. #72017C2semidirect
8. #71666C2semidirect
9. #70323C2semidirect
10. #70315C2semidirect
11. #70309C2semidirect
12. #70307C2semidirect
13. #70291C2semidirect
14. #70210C2semidirect
15. #70197C2semidirect
26. C22×#204C22semidirect
27. #5521C22semidirect
48. C2×#824C22semidirect
49. C2×#823C22semidirect
50. C2×#822C22semidirect
51. C2×#819C22semidirect
52. #5102C22semidirect
57. #5004C22semidirect
58. #4997C22semidirect
59. #4973C22semidirect
60. C2×#809C22semidirect
61. #4964C22semidirect
66. #4555C22semidirect
67. #4550C22semidirect
68. #4532C22semidirect
69. #4530C22semidirect
75. #2897D3semidirect
152. C3×#103D4semidirect
153. C3×#103D4semidirect
159. C3×#102D4semidirect
160. C3×#102D4semidirect
163. #835D4semidirect
164. #835D4semidirect
168. #832D4semidirect
169. #832D4semidirect
432. #103#67semidirect
433. #103#67semidirect
445. #102#67semidirect
446. #102#67semidirect
805. C3#25187semidirect

Maximal subgroups

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

subgroupindex
C3×#28972
#841052
C2×#52412
C2×#51412
#825642
#788632
#720172
#716662
#703232
#703152
#703092
#703072
#702912
#702102
#701972
#251873