Finite Group Databasebeta

← #10823536

Subgroups — #10823536

Order 768.

1186 conjugacy classes of subgroups.

The subgroup lattice has 782 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5697C211yesmaximal, characteristic
2C2×#4817C211yesmaximal, characteristic, complemented
3C2×#4788C211yesmaximal, characteristic, complemented
4#76611C211yesmaximal, characteristic, complemented
5C3×#2026C211yesmaximal, characteristic, complemented
6#71739C211yesmaximal, characteristic, complemented
7#70272C211yesmaximal, characteristic, complemented
8#70272C211yesmaximal, characteristic, complemented
9#69688C211yesmaximal, characteristic, complemented
10#68823C211yesmaximal, characteristic, complemented
11#68822C211yesmaximal, characteristic, complemented
12#68782C211yesmaximal, characteristic, complemented
13#68780C211yesmaximal, characteristic, complemented
14#68629C211yesmaximal, characteristic, complemented
15#68601C211yesmaximal, characteristic, complemented
16#23582—31nomaximal, Sylow
17C2×C3×#125C2211yescharacteristic
18C2×#946C2211yescharacteristic
19C2×Q8×Dic3C2211yescharacteristic
20C22×#215C2211yescharacteristic
21C22×#215C2211yescharacteristic
22#5697—24no—
23#5697—24no—
24C2×#895—21no—
25C2×#895—21no—
26C2×#895C2211yescharacteristic
27C2×#895C2211yescharacteristic
28C2×#894—21no—
29C2×#894—21no—
30C2×#893C2211yescharacteristic
31C2×#893C2211yescharacteristic
32C2×#874C2211yescharacteristic
33C2×#872C2211yescharacteristic
34C2×C3×#103C2211yescharacteristic
35C2×C3×#103C2211yescharacteristic
36C3×#391C2211yescharacteristic
37C2×#821C2211yescharacteristic
38C2×#821C2211yescharacteristic
39C2×#821C2211yescharacteristic
40C2×#821C2211yescharacteristic
41C2×(C2×D3)⋊C8C2211yescharacteristic
42C2×(C2×D3)⋊C8C2211yescharacteristic
43C2×#815C2211yescharacteristic
44C2×C8×Dic3C2211yescharacteristic
45#4987C2211yescharacteristic
46Dic3×C4⋊C4C2211yescharacteristic
47C2×#809C2211yescharacteristic
48C2×#809C2211yescharacteristic
49C2×#808C2211yescharacteristic
50C2×#807C2211yescharacteristic
51#4928C2211yescharacteristic
52#4817—24no—
53#4788—24no—
54#4670—21no—
55#4669—21no—
56#4652—21no—
57#4647—21no—
58C3×#340C2211yescharacteristic
59C3×#340C2211yescharacteristic
60C3×#336C2211yescharacteristic
61#4529C2211yescharacteristic
62#4529C2211yescharacteristic
63#4524C2211yescharacteristic
64C2×#540—31no—
65C2×#440—31no—
66C2×C4×SD16—31no—
67#2323—31no—
68#2059—31no—
69#2041—31no—
70#2034—31no—
71#2033—31no—
72#2026D311yescharacteristic, complemented
73#2014—31no—
74#2000—31no—
75#2000—31no—
76#1762—31no—
77C4×#102—31no—
78#1750—31no—
79C22×C3×Q8C2311yescharacteristic
80C22×D12—21no—
81C22×D12—21no—
82C22×D12—21no—
83C22×D12—21no—
84C22×D12C2311yescharacteristic
85C22×D12C2311yescharacteristic
86C22×C4×D3—21no—
87C22×C4×D3—21no—
88C22×C4×D3C2311yescharacteristic
89C22×C3×C8C2311yescharacteristic
90C22×C3×C8C2311yescharacteristic
91C3×#125—22no—
92C3×#125—22no—
93C2×C3×C4⋊C4—21no—
94C2×C3×C4⋊C4—21no—
95C2×C3×C4⋊C4C2311yescharacteristic
96C2×C3×C4⋊C4C2311yescharacteristic
97C2×C3×C4⋊C4C2311yescharacteristic
98C2×C3×C42C2311yescharacteristic
99#946—22no—
100#946—22no—
101Q8×Dic3—22no—
102Q8×Dic3—22no—
103C2×#215—22no—
104C2×#215—22no—
105C2×#215—22no—
106C2×#215—22no—
107C2×#215—22no—
108C2×#215—22no—
109C2×(C2×D3)⋊C4—21no—
110C2×(C2×D3)⋊C4—21no—
111C2×(C2×D3)⋊C4—21no—
112C2×(C2×D3)⋊C4—21no—
113C2×(C2×D3)⋊C4—21no—
114C2×(C2×D3)⋊C4—21no—
115C2×(C2×D3)⋊C4D411yescharacteristic
116C2×(C2×D3)⋊C4D411yescharacteristic
117C2×C4⋊Dic3—21no—
118C2×C4⋊Dic3C2311yescharacteristic
119C2×C4⋊Dic3C2311yescharacteristic
120C2×Dic3⋊C4—21no—
121C2×Dic3⋊C4—21no—
122C2×Dic3⋊C4D411yescharacteristic
123C2×Dic3⋊C4D411yescharacteristic
124C2×C4×Dic3—21no—
125C2×C4×Dic3—21no—
126C2×C4×Dic3C2311yescharacteristic
127C22×C3⋊C8C2311yescharacteristic
128C22×C3⋊C8C2311yescharacteristic
129#895—28no—
130#895—28no—
131#895—22no—
132#895—22no—
133#895—22no—
134#895—22no—
135#894—28no—
136#894—28no—
137#893—22no—
138#893—22no—
139#893D414yes—
140#893D414yes—
141#874—22no—
142#874—22no—
143#872—22no—
144#872—22no—
145C3×#103—22no—
146C3×#103—22no—
147C3×#95—21no—
148C3×#95—21no—
149C3⋊#95—21no—
150C3⋊#95—21no—
151C3⋊#95—21no—
152#821—22no—
153#821—22no—
154#821—22no—
155#821—22no—
156(C2×D3)⋊C8—22no—
157(C2×D3)⋊C8—22no—
158#815—22no—
159C8×Dic3—22no—
160#809—22no—
161#809—22no—
162#808—22no—
163#807—22no—
164C22×SD16—31no—
165C22×SD16—31no—
166#540—64no—
167#540—64no—
168C2×#127—31no—
169C2×#125C2×D311yescharacteristic
170C2×#123—61no—
171C2×#123—61no—
172C2×C22⋊Q8—31no—
173C2×#121—31no—
174C2×#121—31no—
175C2×#121—61no—
176C2×#121—61no—
177C2×C4×Q8—31no—
178C2×C4×D4—31no—
179C2×C4×D4—31no—
180C2×#117—31no—
181#440—64no—
182C4×SD16—64no—
183C2×#107—31no—
184C2×#106—31no—
185C2×#103C2×D311yescharacteristic
186C2×#103C2×D311yescharacteristic
187C2×#102—31no—
188C2×#102—31no—
189C2×#102—31no—
190C2×#102—31no—
191C2×#102—31no—
192C2×#102—31no—
193C2×C22⋊C8—31no—
194C2×C22⋊C8—31no—
195C2×#97—31no—
196C2×C4×C8—31no—
197#391C2×D311yescharacteristic
198#389—31no—
199#389—61no—
200#388—61no—
201#388—61no—
202#387—61no—
203#380—31no—
204C4×C4⋊C4—31no—
205#340—31no—
206#340—31no—
207#340C2×D311yescharacteristic
208#340C2×D311yescharacteristic
209#336—31no—
210#336C2×D311yescharacteristic
211C23×D3—21no—
212C23×D3—21no—
213C23×D3C2×D411yescharacteristic
214C2×C3×Q8—21no—
215C2×C3×Q8—21no—
216C2×C3×Q8—21no—
217C2×C3×Q8—21no—
218C2×C3×Q8—21no—
219C2×C3×Q8#4112yes—
220C22×C3×C4—21no—
221C22×C3×C4—21no—
222C22×C3×C4—21no—
223C22×C3×C4—21no—
224C22×C3×C4C2×D411yescharacteristic
225C22×C3×C4C2×D411yescharacteristic
226C22×C3×C4C2411yescharacteristic
227C22×Dic3—21no—
228C22×Dic3—21no—
229C22×Dic3C2×D411yescharacteristic
230C22×Dic3C2×D411yescharacteristic
231C22×Dic3C2×D411yescharacteristic
232C2×D12—21no—
233C2×D12—21no—
234C2×D12—21no—
235C2×D12—21no—
236C2×D12—21no—
237C2×D12—21no—
238C2×D12—21no—
239C2×D12—21no—
240C2×D12—21no—
241C2×D12—21no—
242C2×D12—24no—
243C2×D12—24no—
244C2×D12—24no—
245C2×D12—24no—
246C2×D12—81no—
247C2×D12—81no—
248C2×D12—81no—
249C2×D12—81no—
250C2×D12—81no—
251C2×D12—81no—
252C2×D12—81no—
253C2×D12—81no—
254C2×D12C2×D412yes—
255C2×D12C2×D412yes—
256C2×C4×D3—21no—
257C2×C4×D3—21no—
258C2×C4×D3—21no—
259C2×C4×D3—21no—
260C2×C4×D3—21no—
261C2×C4×D3—21no—
262C2×C4×D3—24no—
263C2×C4×D3—24no—
264C2×C4×D3—81no—
265C2×C4×D3—81no—
266C2×C4×D3—81no—
267C2×C4×D3—81no—
268C2×C3×C8—21no—
269C2×C3×C8—21no—
270C2×C3×C8—21no—
271C2×C3×C8—21no—
272C2×C3×C8—21no—
273C2×C3×C8—21no—
274C3×C4⋊C4—24no—
275C3×C4⋊C4—24no—
276C3×C4⋊C4—21no—
277C3×C4⋊C4—21no—
278C3×C4⋊C4—21no—
279C3×C4⋊C4—21no—
280C3×C4⋊C4C2×D412yes—
281C3×C4⋊C4C2×D412yes—
282C3×C42—21no—
283C3×C42—21no—
284#215—28no—
285#215—28no—
286(C2×D3)⋊C4—24no—
287(C2×D3)⋊C4—24no—
288(C2×D3)⋊C4—24no—
289(C2×D3)⋊C4—22no—
290(C2×D3)⋊C4—22no—
291(C2×D3)⋊C4—24no—
292(C2×D3)⋊C4—24no—
293(C2×D3)⋊C4—81no—
294C4⋊Dic3—21no—
295C4⋊Dic3—21no—
296C4⋊Dic3—21no—
297C4⋊Dic3—42no—
298C4⋊Dic3#4112yes—
299Dic3⋊C4—24no—
300Dic3⋊C4—22no—
301Dic3⋊C4—22no—
302Dic3⋊C4—81no—
303C4×Dic3—42no—
304C4×Dic3—81no—
305C4×Dic3C2×D412yes—
306C4×Dic3C2×D412yes—
307C2×C3⋊C8—21no—
308C2×C3⋊C8—21no—
309C2×C3⋊C8—21no—
310C2×C3⋊C8—21no—
311C2×C3⋊C8#4112yes—
312C2×C3⋊C8#4112yes—
313C22×Q8C22×D311yescharacteristic
314C22×D4—31no—
315C22×D4—31no—
316C22×D4—61no—
317C22×D4—61no—
318C22×D4—61no—
319C22×D4—61no—
320C23×C4—31no—
321C23×C4—61no—
322C23×C4—61no—
323C2×SD16—62no—
324C2×SD16—62no—
325C2×SD16—62no—
326C2×SD16—62no—
327C2×SD16—62no—
328C2×SD16—62no—
329C22×C8—31no—
330C22×C8—31no—
331C22×C8C22×D311yescharacteristic
332C22×C8C22×D311yescharacteristic
333#127—62no—
334#127—62no—
335#125—22no—
336#125—22no—
337#123—68no—
338#123—68no—
339C22⋊Q8—62no—
340C22⋊Q8—62no—
341#121—62no—
342#121—62no—
343#121—68no—
344#121—68no—
345#121—62no—
346#121—62no—
347C4×Q8—62no—
348C4×Q8—62no—
349C4×D4—34no—
350C4×D4—34no—
351C4×D4—62no—
352C4×D4—62no—
353#117—62no—
354#117—62no—
355C2×C4⋊C4—21no—
356C2×C4⋊C4—21no—
357C2×C4⋊C4—31no—
358C2×C4⋊C4—31no—
359C2×C4⋊C4—31no—
360C2×C4⋊C4—31no—
361C2×C4⋊C4—61no—
362C2×C4⋊C4—61no—
363C2×C4⋊C4—61no—
364C2×C4⋊C4C22×D311yescharacteristic
365C2×C4⋊C4C22×D311yescharacteristic
366C2×C4⋊C4C22×D311yescharacteristic
367C2×C22⋊C4—31no—
368C2×C22⋊C4—31no—
369C2×C22⋊C4—61no—
370C2×C22⋊C4—61no—
371C2×C22⋊C4—61no—
372C2×C22⋊C4—61no—
373C2×C22⋊C4—61no—
374C2×C22⋊C4—61no—
375C2×C42—31no—
376C2×C42—61no—
377C2×C42—61no—
378C2×C42C22×D311yescharacteristic
379#107—62no—
380#106—62no—
381#103—22no—
382#103—22no—
383#102—62no—
384#102—62no—
385#102—62no—
386#102—62no—
387#102—62no—
388#102—62no—
389C22⋊C8—62no—
390C22⋊C8—62no—
391#97—62no—
392C4×C8—62no—
393#95—21no—
394#95—21no—
395#95—61no—
396#95—61no—
397#95—61no—
398C23×C3C22×D411yescharacteristic
399C22×D3—21no—
400C22×D3—22no—
401C22×D3—22no—
402C22×D3—21no—
403C22×D3—21no—
404C22×D3—21no—
405C22×D3—21no—
406C22×D3—21no—
407C22×D3—21no—
408C22×D3—41no—
409C22×D3—41no—
410C22×D3—41no—
411C22×D3—41no—
412C22×D3—41no—
413C22×D3—41no—
414C22×D3—41no—
415C22×D3—41no—
416C22×D3—41no—
417C22×D3—41no—
418C22×D3—41no—
419C22×D3—41no—
420C3×Q8—22no—
421C3×Q8—22no—
422C3×Q8—41no—
423C3×Q8—41no—
424C2×C3×C4—21no—
425C2×C3×C4—21no—
426C2×C3×C4—22no—
427C2×C3×C4—22no—
428C2×C3×C4—22no—
429C2×C3×C4—21no—
430C2×C3×C4—21no—
431C2×C3×C4—21no—
432C2×C3×C4—21no—
433C2×C3×C4—41no—
434C2×C3×C4—41no—
435C2×C3×C4—41no—
436C2×C3×C4—41no—
437C2×C3×C4—41no—
438C2×C3×C4—41no—
439C2×C3×C4—41no—
440C2×C3×C4—41no—
441C2×C3×C4—41no—
442C2×C3×C4C22×D411yescharacteristic
443C2×C3×C4C22×D411yescharacteristic
444C2×C3×C4C2×#4111yescharacteristic
445C2×C3×C4C2×#4111yescharacteristic
446C2×C3×C4C2×#4111yescharacteristic
447C2×C3×C4C2×#4111yescharacteristic
448C2×Dic3—21no—
449C2×Dic3—21no—
450C2×Dic3—21no—
451C2×Dic3—21no—
452C2×Dic3—21no—
453C2×Dic3—21no—
454C2×Dic3—22no—
455C2×Dic3—21no—
456C2×Dic3—41no—
457C2×Dic3—41no—
458C2×Dic3—41no—
459C2×Dic3—41no—
460C2×Dic3—41no—
461C2×Dic3#12012yes—
462C2×Dic3#12012yes—
463D12—22no—
464D12—22no—
465D12—22no—
466D12—22no—
467D12—41no—
468D12—41no—
469D12—41no—
470D12—41no—
471D12—84no—
472D12—84no—
473D12—84no—
474D12—84no—
475C4×D3—41no—
476C4×D3—41no—
477C4×D3—41no—
478C4×D3—41no—
479C4×D3—84no—
480C4×D3—84no—
481C3×C8—41no—
482C3×C8—41no—
483C3⋊C8—22no—
484C3⋊C8—22no—
485C24—31no—
486C24—61no—
487C24—61no—
488C2×Q8—21no—
489C2×Q8—21no—
490C2×Q8—21no—
491C2×Q8—21no—
492C2×Q8—21no—
493C2×Q8#23912yes—
494C2×D4—32no—
495C2×D4—32no—
496C2×D4—64no—
497C2×D4—64no—
498C2×D4—64no—
499C2×D4—64no—
500C2×D4—61no—
501C2×D4—61no—
502C2×D4—61no—
503C2×D4—61no—
504C2×D4—61no—
505C2×D4—61no—
506C2×D4—61no—
507C2×D4—61no—
508C2×D4—61no—
509C2×D4—61no—
510C2×D4—241no—
511C2×D4—241no—
512C2×D4—241no—
513C2×D4—241no—
514C2×D4—241no—
515C2×D4—241no—
516C2×D4—241no—
517C2×D4—241no—
518C22×C4—21no—
519C22×C4—21no—
520C22×C4—21no—
521C22×C4—21no—
522C22×C4—31no—
523C22×C4—31no—
524C22×C4—31no—
525C22×C4—64no—
526C22×C4—64no—
527C22×C4—61no—
528C22×C4—61no—
529C22×C4—61no—
530C22×C4—61no—
531C22×C4—61no—
532C22×C4—61no—
533C22×C4—61no—
534C22×C4—61no—
535C22×C4—241no—
536C22×C4—241no—
537C22×C4—241no—
538C22×C4—241no—
539C22×C4D3×D411yescharacteristic
540C22×C4D3×D411yescharacteristic
541C22×C4C23×D311yescharacteristic
542SD16—68no—
543SD16—68no—
544C2×C8—21no—
545C2×C8—21no—
546C2×C8—21no—
547C2×C8—21no—
548C2×C8—21no—
549C2×C8—21no—
550C2×C8—32no—
551C2×C8—32no—
552C2×C8—61no—
553C2×C8—61no—
554C2×C8—61no—
555C2×C8—61no—
556C4⋊C4—24no—
557C4⋊C4—24no—
558C4⋊C4—21no—
559C4⋊C4—21no—
560C4⋊C4—21no—
561C4⋊C4—21no—
562C4⋊C4—32no—
563C4⋊C4—62no—
564C4⋊C4—62no—
565C4⋊C4—64no—
566C4⋊C4—61no—
567C4⋊C4—61no—
568C4⋊C4—61no—
569C4⋊C4—122no—
570C4⋊C4—241no—
571C4⋊C4D3×D412yes—
572C4⋊C4D3×D412yes—
573C22⋊C4—62no—
574C22⋊C4—62no—
575C22⋊C4—64no—
576C22⋊C4—64no—
577C22⋊C4—64no—
578C22⋊C4—64no—
579C22⋊C4—64no—
580C22⋊C4—241no—
581C42—21no—
582C42—21no—
583C42—32no—
584C42—32no—
585C42—122no—
586C42—241no—
587C22×C3C2×#12011yescharacteristic
588C22×C3#52511yescharacteristic
589C22×C3#53211yescharacteristic
590C22×C3#57611yescharacteristic
591C22×C3#57711yescharacteristic
592C22×C3#57711yescharacteristic
593C22×C3#57711yescharacteristic
594C2×D3—41no—
595C2×D3—41no—
596C2×D3—41no—
597C2×D3—42no—
598C2×D3—42no—
599C2×D3—41no—
600C2×D3—41no—
601C2×D3—42no—
602C2×D3—41no—
603C2×D3—42no—
604C2×D3—42no—
605C2×D3—41no—
606C2×D3—42no—
607C2×D3—81no—
608C2×D3—81no—
609C2×D3—81no—
610C2×D3—81no—
611C2×D3—81no—
612C2×D3—81no—
613C2×D3—81no—
614C2×D3—81no—
615C3×C4—42no—
616C3×C4—42no—
617C3×C4—41no—
618C3×C4—42no—
619C3×C4—41no—
620C3×C4—81no—
621C3×C4#52511yescharacteristic
622C3×C4#52511yescharacteristic
623C3×C4#53211yescharacteristic
624C3×C4#53211yescharacteristic
625Dic3—22no—
626Dic3—22no—
627Dic3—42no—
628Dic3—41no—
629Dic3—81no—
630C23—61no—
631C23—61no—
632C23—61no—
633C23—61no—
634C23—61no—
635C23—62no—
636C23—62no—
637C23—61no—
638C23—61no—
639C23—121no—
640C23—121no—
641C23—121no—
642C23—121no—
643C23—121no—
644C23—121no—
645C23—121no—
646C23—121no—
647C23—121no—
648C23—121no—
649C23—121no—
650C23—121no—
651C23C2×D3×D411yescharacteristic
652Q8—22no—
653Q8—22no—
654Q8—41no—
655Q8—41no—
656D4—62no—
657D4—62no—
658D4—62no—
659D4—62no—
660D4—121no—
661D4—121no—
662D4—121no—
663D4—121no—
664D4—244no—
665D4—244no—
666D4—244no—
667D4—244no—
668C2×C4—21no—
669C2×C4—21no—
670C2×C4—21no—
671C2×C4—21no—
672C2×C4—21no—
673C2×C4—21no—
674C2×C4—22no—
675C2×C4—22no—
676C2×C4—22no—
677C2×C4—32no—
678C2×C4—32no—
679C2×C4—41no—
680C2×C4—41no—
681C2×C4—41no—
682C2×C4—41no—
683C2×C4—41no—
684C2×C4—41no—
685C2×C4—41no—
686C2×C4—41no—
687C2×C4—41no—
688C2×C4—61no—
689C2×C4—61no—
690C2×C4—61no—
691C2×C4—61no—
692C2×C4—61no—
693C2×C4—61no—
694C2×C4—62no—
695C2×C4—61no—
696C2×C4—121no—
697C2×C4—121no—
698C2×C4—121no—
699C2×C4—121no—
700C2×C4—121no—
701C2×C4—121no—
702C2×C4—121no—
703C2×C4—121no—
704C2×C4—121no—
705C2×C4—244no—
706C2×C4—244no—
707C2×C4C2×D3×D411yescharacteristic
708C2×C4C2×D3×D411yescharacteristic
709C2×C4C2×#23911yescharacteristic
710C2×C4D3×#4111yescharacteristic
711C2×C4D3×#4111yescharacteristic
712C2×C4D3×#4111yescharacteristic
713C8—41no—
714C8—41no—
715C8—62no—
716C8—62no—
717C2×C3#238811yescharacteristic
718C2×C3#300911yescharacteristic
719C2×C3#301211yescharacteristic
720C2×C3#311911yescharacteristic
721C2×C3#312611yescharacteristic
722C2×C3#317411yescharacteristic
723C2×C3#317911yescharacteristic
724D3—81no—
725D3—82no—
726D3—82no—
727C22—121no—
728C22—121no—
729C22—121no—
730C22—122no—
731C22—121no—
732C22—122no—
733C22—122no—
734C22—121no—
735C22—122no—
736C22—121no—
737C22—121no—
738C22—122no—
739C22—122no—
740C22—241no—
741C22—241no—
742C22—241no—
743C22—241no—
744C22—241no—
745C22—241no—
746C22—241no—
747C22—241no—
748C22D3×#12011yescharacteristic
749C22#562711yescharacteristic
750C22#566811yescharacteristic
751C22#576911yescharacteristic
752C22#577011yescharacteristic
753C22#577811yescharacteristic
754C22#577811yescharacteristic
755C4—41no—
756C4—42no—
757C4—41no—
758C4—42no—
759C4—42no—
760C4—62no—
761C4—62no—
762C4—81no—
763C4—122no—
764C4—121no—
765C4—241no—
766C4#562711yescharacteristic
767C4#562711yescharacteristic
768C4#566811yescharacteristic
769C4#566811yescharacteristic
770C3#2358211yescharacteristic, complemented, Sylow
771C2—241no—
772C2—242no—
773C2—242no—
774C2#7677711yescharacteristic
775C2#8022911yescharacteristic
776C2#8023111yescharacteristic
777C2#8120811yescharacteristic
778C2#8121011yescharacteristic
779C2#8163011yescharacteristic
780C2#8172911yescharacteristic
subgroupG/H
centerC23C2×D3×D4
commutator, cosocleC22×C3×C4C24
FrattiniC22×C4C23×D3
FittingC3×#2026C2
socleC23×C3C22×D4
prime radicalC2×#5697C2
hypercenter#2026D3
hypocenterC3#23582
LCSG ▷ C22×C3×C4 ▷ C2×C3 ▷ C3
UCSC1 ◁ C23 ◁ C2×C42 ◁ #2026

Complements

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

NH ≅ G/Ntype
2. C2×#4817C2semidirect
3. C2×#4788C2semidirect
4. #76611C2semidirect
5. C3×#2026C2semidirect
6. #71739C2semidirect
7. #70272C2semidirect
8. #70272C2semidirect
9. #69688C2semidirect
10. #68823C2semidirect
11. #68822C2semidirect
12. #68782C2semidirect
13. #68780C2semidirect
14. #68629C2semidirect
15. #68601C2semidirect
72. #2026D3semidirect
770. C3#23582semidirect

Maximal subgroups

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

subgroupindex
C2×#56972
C2×#48172
C2×#47882
#766112
C3×#20262
#717392
#702722
#696882
#688232
#688222
#687822
#687802
#686292
#686012
#235823