Finite Group Databasebeta

← C2×#28611 #6462929

Subgroups — C2×#28611 #6462929

Order 512.

2534 conjugacy classes of subgroups.

The subgroup lattice has 769 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#491C211yesmaximal, characteristic, complemented
2C22×#435C211yesmaximal, characteristic
3C2×#2542C211yesmaximal, characteristic
4C2×#2562C211yesmaximal, characteristic
5#28611C2116yesmaximal, direct product factor
6C2×#2036C211yesmaximal, characteristic, complemented
7C2×#2036C211yesmaximal, characteristic, complemented
8C2×#2035C211yesmaximal, characteristic, complemented
9C2×#2035C211yesmaximal, characteristic, complemented
10C2×#1989C211yesmaximal, characteristic, complemented
11C2×#1981C211yesmaximal, characteristic, complemented
12C2×#1894C211yesmaximal, characteristic, complemented
13C2×#1894C211yesmaximal, characteristic, complemented
14C2×#1892C211yesmaximal, characteristic, complemented
15C2×#1892C211yesmaximal, characteristic, complemented
16C2×#1776C211yesmaximal, characteristic, complemented
17C23×M16C2211yescharacteristic
18C24×C8C2211yescharacteristic
19C22×C4⋊Q8C2211yescharacteristic
20C22×#125C2211yescharacteristic
21C22×C22⋊Q8C2211yescharacteristic
22C22×C22⋊Q8C2211yescharacteristic
23C22×C22⋊Q8C2211yescharacteristic
24C22×C22⋊Q8C2211yescharacteristic
25C22×C4×D4C2211yescharacteristic
26C2×#491—28no—
27C2×#491C2218yescomplemented
28C2×#435—28no—
29C2×#435C2218yes—
30C22×#107C2211yescharacteristic
31C22×#106C2211yescharacteristic
32C22×C4⋊C8C2211yescharacteristic
33C22×#103C2211yescharacteristic
34C22×#103C2211yescharacteristic
35C22×#103C2211yescharacteristic
36C22×#103C2211yescharacteristic
37C22×#103C2211yescharacteristic
38C22×#103C2211yescharacteristic
39C22×#103C2211yescharacteristic
40C22×#103C2211yescharacteristic
41C22×C22⋊C8C2211yescharacteristic
42C22×C22⋊C8C2211yescharacteristic
43C22×#97C2211yescharacteristic
44#2562—24no—
45#2562C2218yes—
46#2542—24no—
47#2542C2218yes—
48C2×#400—21no—
49C2×#399—21no—
50C2×#399—21no—
51C2×#394—21no—
52C2×#390—21no—
53C2×#388—21no—
54C2×#388—21no—
55C2×#384—21no—
56C2×#380C2211yescharacteristic
57C2×#380C2211yescharacteristic
58C2×#380C2211yescharacteristic
59C2×#380C2211yescharacteristic
60C2×C4×C4⋊C4C2211yescharacteristic
61C2×C4×C4⋊C4C2211yescharacteristic
62#2036C2218yescomplemented
63#2036C2218yescomplemented
64#2035C2218yescomplemented
65#2035C2218yescomplemented
66#1989C2218yescomplemented
67#1981C2218yescomplemented
68#1894C2218yescomplemented
69#1894C2218yescomplemented
70#1892C2218yescomplemented
71#1892C2218yescomplemented
72#1776C2218yescomplemented
73C2×#340C2211yescharacteristic
74C2×#340C2211yescharacteristic
75C2×#340C2211yescharacteristic
76C2×#340C2211yescharacteristic
77C2×#340C2211yescharacteristic
78C2×#340C2211yescharacteristic
79C23×Q8C2311yescharacteristic
80C23×Q8C2311yescharacteristic
81C23×D4D411yescharacteristic
82C24×C4C2311yescharacteristic
83C24×C4C2311yescharacteristic
84C22×M16—24no—
85C22×M16—42no—
86C22×M16—42no—
87C22×M16C2314yes—
88C23×C8—24no—
89C23×C8—42no—
90C23×C8—42no—
91C23×C8C2311yescharacteristic
92C23×C8C2311yescharacteristic
93C23×C8C2311yescharacteristic
94C23×C8C2311yescharacteristic
95C23×C8C2314yes—
96C2×C4⋊Q8—22no—
97C2×C4⋊Q8—24no—
98C2×C4⋊Q8—24no—
99C2×C4⋊Q8C2314yes—
100C2×#125—22no—
101C2×#125—24no—
102C2×#125—24no—
103C2×#125C2314yes—
104C2×C22⋊Q8—22no—
105C2×C22⋊Q8—22no—
106C2×C22⋊Q8—22no—
107C2×C22⋊Q8—22no—
108C2×C22⋊Q8—24no—
109C2×C22⋊Q8—24no—
110C2×C22⋊Q8—24no—
111C2×C22⋊Q8—24no—
112C2×C22⋊Q8—42no—
113C2×C22⋊Q8—42no—
114C2×C22⋊Q8—42no—
115C2×C22⋊Q8—42no—
116C2×C22⋊Q8C2314yes—
117C2×C22⋊Q8C2314yes—
118C2×C22⋊Q8C2314yes—
119C2×C22⋊Q8C2314yes—
120C2×C4×D4—24no—
121C2×C4×D4—24no—
122C2×C4×D4D414yes—
123C2×C4×D4C2314yes—
124C22×C4⋊C4—21no—
125C22×C4⋊C4—21no—
126C22×C4⋊C4—21no—
127C22×C4⋊C4—21no—
128C22×C4⋊C4—21no—
129C22×C4⋊C4—21no—
130C22×C4⋊C4—21no—
131C22×C4⋊C4—21no—
132C22×C4⋊C4D411yescharacteristic
133C22×C4⋊C4C2311yescharacteristic
134C22×C4⋊C4C2311yescharacteristic
135C22×C4⋊C4C2311yescharacteristic
136C22×C4⋊C4C2311yescharacteristic
137C22×C4⋊C4C2311yescharacteristic
138C22×C4⋊C4C2311yescharacteristic
139C22×C22⋊C4—21no—
140C22×C22⋊C4—21no—
141C22×C22⋊C4—21no—
142C22×C22⋊C4—21no—
143C22×C22⋊C4—21no—
144C22×C22⋊C4—21no—
145C22×C22⋊C4—21no—
146C22×C22⋊C4—21no—
147C22×C22⋊C4D411yescharacteristic
148C22×C22⋊C4D411yescharacteristic
149C22×C42—21no—
150C22×C42—21no—
151C22×C42C2311yescharacteristic
152#491—232no—
153#435—232no—
154C2×#107—24no—
155C2×#107C2314yes—
156C2×#106—24no—
157C2×#106C2314yes—
158C2×C4⋊C8—24no—
159C2×C4⋊C8C2314yes—
160C2×#103—24no—
161C2×#103—24no—
162C2×#103—24no—
163C2×#103—24no—
164C2×#103—42no—
165C2×#103—42no—
166C2×#103—42no—
167C2×#103—42no—
168C2×#103C2314yes—
169C2×#103C2314yes—
170C2×#103C2314yes—
171C2×#103C2314yes—
172C2×#103C2314yes—
173C2×#103C2314yes—
174C2×#103C2314yes—
175C2×#103C2314yes—
176C2×C22⋊C8—24no—
177C2×C22⋊C8—24no—
178C2×C22⋊C8C2314yes—
179C2×C22⋊C8C2314yes—
180C2×#97D418yes—
181C2×#97C2314yes—
182#400—28no—
183#399—28no—
184#399—28no—
185#394—28no—
186#390—28no—
187#388—28no—
188#388—28no—
189#384—28no—
190#380—22no—
191#380—22no—
192#380—22no—
193#380—22no—
194#380C2314yes—
195#380C2314yes—
196#380C2314yes—
197#380C2314yes—
198C4×C4⋊C4—22no—
199C4×C4⋊C4—22no—
200C4×C4⋊C4C2314yes—
201C4×C4⋊C4C2314yes—
202C2×#95—21no—
203C2×#95—21no—
204C2×#95—21no—
205C2×#95—21no—
206C2×#95—21no—
207C2×#95—21no—
208#340C2314yes—
209#340C2314yes—
210#340C2314yes—
211#340C2314yes—
212#340C2314yes—
213#340C2314yes—
214C25C2×D411yescharacteristic
215C25C2×D411yescharacteristic
216C22×Q8—21no—
217C22×Q8—21no—
218C22×Q8—22no—
219C22×Q8—22no—
220C22×Q8—22no—
221C22×Q8—22no—
222C22×Q8—22no—
223C22×Q8—22no—
224C22×Q8—22no—
225C22×Q8—22no—
226C22×Q8—22no—
227C22×Q8—22no—
228C22×Q8—22no—
229C22×Q8—22no—
230C22×Q8C2412yes—
231C22×Q8C2412yes—
232C22×D4—24no—
233C22×D4—24no—
234C22×D4—42no—
235C22×D4C2×D414yes—
236C23×C4—21no—
237C23×C4—21no—
238C23×C4—22no—
239C23×C4—22no—
240C23×C4—22no—
241C23×C4—22no—
242C23×C4—22no—
243C23×C4—22no—
244C23×C4—22no—
245C23×C4—22no—
246C23×C4—22no—
247C23×C4—22no—
248C23×C4—22no—
249C23×C4—22no—
250C23×C4—21no—
251C23×C4—21no—
252C23×C4—21no—
253C23×C4—21no—
254C23×C4—21no—
255C23×C4—21no—
256C23×C4C2×D412yes—
257C23×C4C2×D412yes—
258C23×C4C2×D411yescharacteristic
259C23×C4C2×D411yescharacteristic
260C23×C4C2×D411yescharacteristic
261C23×C4C2×D411yescharacteristic
262C23×C4C2412yes—
263C23×C4C2412yes—
264C23×C4C2411yescharacteristic
265C2×M16—28no—
266C2×M16—44no—
267C2×M16—44no—
268C2×M16—416no—
269C22×C8—22no—
270C22×C8—22no—
271C22×C8—22no—
272C22×C8—22no—
273C22×C8—22no—
274C22×C8—22no—
275C22×C8—22no—
276C22×C8—22no—
277C22×C8—22no—
278C22×C8—22no—
279C22×C8—28no—
280C22×C8—44no—
281C22×C8—44no—
282C22×C8—416no—
283C22×C8C2×D414yes—
284C22×C8C2×D414yes—
285C22×C8C2412yes—
286C22×C8C2412yes—
287C22×C8C2412yes—
288C22×C8C2412yes—
289C4⋊Q8—28no—
290C4⋊Q8—28no—
291C4⋊Q8—48no—
292#125—28no—
293#125—28no—
294#125—48no—
295C22⋊Q8—28no—
296C22⋊Q8—28no—
297C22⋊Q8—28no—
298C22⋊Q8—28no—
299C22⋊Q8—44no—
300C22⋊Q8—44no—
301C22⋊Q8—44no—
302C22⋊Q8—44no—
303C22⋊Q8—48no—
304C22⋊Q8—48no—
305C22⋊Q8—48no—
306C22⋊Q8—48no—
307C4×D4—216no—
308C4×D4—28no—
309C4×D4—28no—
310C2×C4⋊C4—24no—
311C2×C4⋊C4—21no—
312C2×C4⋊C4—21no—
313C2×C4⋊C4—22no—
314C2×C4⋊C4—22no—
315C2×C4⋊C4—22no—
316C2×C4⋊C4—22no—
317C2×C4⋊C4—22no—
318C2×C4⋊C4—22no—
319C2×C4⋊C4—22no—
320C2×C4⋊C4—22no—
321C2×C4⋊C4—22no—
322C2×C4⋊C4—22no—
323C2×C4⋊C4—24no—
324C2×C4⋊C4—24no—
325C2×C4⋊C4—24no—
326C2×C4⋊C4—24no—
327C2×C4⋊C4—24no—
328C2×C4⋊C4—24no—
329C2×C4⋊C4—24no—
330C2×C4⋊C4—24no—
331C2×C4⋊C4—21no—
332C2×C4⋊C4—21no—
333C2×C4⋊C4—21no—
334C2×C4⋊C4—21no—
335C2×C4⋊C4—44no—
336C2×C4⋊C4—44no—
337C2×C4⋊C4—44no—
338C2×C4⋊C4—44no—
339C2×C4⋊C4—44no—
340C2×C4⋊C4—44no—
341C2×C4⋊C4—44no—
342C2×C4⋊C4—44no—
343C2×C4⋊C4C2×D414yes—
344C2×C4⋊C4#4114yes—
345C2×C4⋊C4#4114yes—
346C2×C4⋊C4C2412yes—
347C2×C4⋊C4C2412yes—
348C2×C4⋊C4C2412yes—
349C2×C4⋊C4C2412yes—
350C2×C4⋊C4C2412yes—
351C2×C4⋊C4C2412yes—
352C2×C22⋊C4—24no—
353C2×C22⋊C4—24no—
354C2×C22⋊C4—24no—
355C2×C22⋊C4—24no—
356C2×C22⋊C4—24no—
357C2×C22⋊C4—24no—
358C2×C22⋊C4—24no—
359C2×C22⋊C4—24no—
360C2×C22⋊C4—24no—
361C2×C22⋊C4—24no—
362C2×C22⋊C4—44no—
363C2×C22⋊C4—44no—
364C2×C22⋊C4—44no—
365C2×C22⋊C4—44no—
366C2×C22⋊C4—44no—
367C2×C22⋊C4—44no—
368C2×C22⋊C4—82no—
369C2×C22⋊C4—82no—
370C2×C22⋊C4C2×D414yes—
371C2×C22⋊C4C2×D414yes—
372C2×C42—24no—
373C2×C42—24no—
374C2×C42—44no—
375C2×C42—82no—
376C2×C42C2×D412yes—
377C2×C42C2×D414yes—
378C2×C42#4114yes—
379C2×C42C2412yes—
380#107—28no—
381#106—28no—
382C4⋊C8—28no—
383#103—28no—
384#103—28no—
385#103—28no—
386#103—28no—
387#103—44no—
388#103—44no—
389#103—44no—
390#103—44no—
391C22⋊C8—28no—
392C22⋊C8—28no—
393#97C2×D4116yes—
394#95—24no—
395#95—24no—
396#95—24no—
397#95—24no—
398#95—24no—
399#95—24no—
400C24—22no—
401C24—22no—
402C24—22no—
403C24—22no—
404C24—22no—
405C24—22no—
406C24—22no—
407C24—22no—
408C24—22no—
409C24—22no—
410C24—22no—
411C24—22no—
412C24—22no—
413C24#13714yes—
414C24C22×D412yes—
415C24C22×D412yes—
416C24C22×D411yescharacteristic
417C2×Q8—22no—
418C2×Q8—22no—
419C2×Q8—22no—
420C2×Q8—22no—
421C2×Q8—22no—
422C2×Q8—22no—
423C2×Q8—22no—
424C2×Q8—22no—
425C2×Q8—22no—
426C2×Q8—22no—
427C2×Q8—22no—
428C2×Q8—22no—
429C2×Q8—42no—
430C2×Q8—42no—
431C2×Q8—42no—
432C2×Q8—42no—
433C2×Q8—42no—
434C2×Q8—42no—
435C2×Q8—44no—
436C2×Q8—44no—
437C2×Q8—44no—
438C2×Q8—44no—
439C2×Q8—44no—
440C2×Q8—44no—
441C2×Q8—44no—
442C2×Q8—44no—
443C2×D4—28no—
444C2×D4—28no—
445C2×D4—44no—
446C2×D4—416no—
447C22×C4—22no—
448C22×C4—22no—
449C22×C4—22no—
450C22×C4—22no—
451C22×C4—22no—
452C22×C4—22no—
453C22×C4—24no—
454C22×C4—24no—
455C22×C4—22no—
456C22×C4—22no—
457C22×C4—22no—
458C22×C4—22no—
459C22×C4—22no—
460C22×C4—22no—
461C22×C4—24no—
462C22×C4—24no—
463C22×C4—24no—
464C22×C4—24no—
465C22×C4—24no—
466C22×C4—24no—
467C22×C4—22no—
468C22×C4—22no—
469C22×C4—22no—
470C22×C4—22no—
471C22×C4—22no—
472C22×C4—22no—
473C22×C4—22no—
474C22×C4—22no—
475C22×C4—22no—
476C22×C4—22no—
477C22×C4—22no—
478C22×C4—22no—
479C22×C4—22no—
480C22×C4—22no—
481C22×C4—22no—
482C22×C4—22no—
483C22×C4—22no—
484C22×C4—22no—
485C22×C4—42no—
486C22×C4—42no—
487C22×C4—42no—
488C22×C4—42no—
489C22×C4—44no—
490C22×C4—44no—
491C22×C4—44no—
492C22×C4—44no—
493C22×C4—44no—
494C22×C4—44no—
495C22×C4—44no—
496C22×C4—44no—
497C22×C4—42no—
498C22×C4—42no—
499C22×C4—42no—
500C22×C4—42no—
501C22×C4—42no—
502C22×C4—42no—
503C22×C4—42no—
504C22×C4—42no—
505C22×C4—42no—
506C22×C4—42no—
507C22×C4—42no—
508C22×C4—42no—
509C22×C4—42no—
510C22×C4—42no—
511C22×C4—42no—
512C22×C4—42no—
513C22×C4—42no—
514C22×C4—42no—
515C22×C4#12114yes—
516C22×C4#12114yes—
517C22×C4C22×D412yes—
518C22×C4C22×D412yes—
519C22×C4C22×D412yes—
520C22×C4C22×D412yes—
521C22×C4C22×D411yescharacteristic
522C22×C4C22×D412yes—
523C22×C4C2×#4112yes—
524C22×C4C2×#4112yes—
525C22×C4C2×#4112yes—
526C22×C4H(5,𝔽2)12yes—
527C22×C4H(5,𝔽2)12yes—
528C22×C4C2511yescharacteristic
529M16—416no—
530C2×C8—28no—
531C2×C8—28no—
532C2×C8—22no—
533C2×C8—22no—
534C2×C8—22no—
535C2×C8—22no—
536C2×C8—22no—
537C2×C8—22no—
538C2×C8—22no—
539C2×C8—22no—
540C2×C8—22no—
541C2×C8—22no—
542C2×C8—416no—
543C2×C8—44no—
544C2×C8—44no—
545C2×C8C22×D414yes—
546C2×C8C22×D414yes—
547C4⋊C4—28no—
548C4⋊C4—24no—
549C4⋊C4—24no—
550C4⋊C4—22no—
551C4⋊C4—22no—
552C4⋊C4—22no—
553C4⋊C4—22no—
554C4⋊C4—22no—
555C4⋊C4—22no—
556C4⋊C4—22no—
557C4⋊C4—22no—
558C4⋊C4—22no—
559C4⋊C4—22no—
560C4⋊C4—48no—
561C4⋊C4—48no—
562C4⋊C4—48no—
563C4⋊C4—48no—
564C4⋊C4—42no—
565C4⋊C4—42no—
566C4⋊C4—48no—
567C4⋊C4—48no—
568C4⋊C4—48no—
569C4⋊C4—48no—
570C4⋊C4—42no—
571C4⋊C4—42no—
572C4⋊C4C2×#4114yes—
573C4⋊C4C2×#4114yes—
574C22⋊C4—28no—
575C22⋊C4—28no—
576C22⋊C4—48no—
577C22⋊C4—48no—
578C22⋊C4—48no—
579C22⋊C4—48no—
580C22⋊C4—48no—
581C22⋊C4—48no—
582C22⋊C4—84no—
583C22⋊C4—84no—
584C42—48no—
585C42—84no—
586C42#12118yes—
587C42C22×D414yes—
588C42C2×#4114yes—
589C23—22no—
590C23—22no—
591C23—22no—
592C23—28no—
593C23—28no—
594C23—28no—
595C23—22no—
596C23—22no—
597C23—22no—
598C23—22no—
599C23—22no—
600C23—22no—
601C23—22no—
602C23—22no—
603C23—22no—
604C23—22no—
605C23—44no—
606C23—44no—
607C23—44no—
608C23—44no—
609C23—44no—
610C23—44no—
611C23—44no—
612C23—44no—
613C23—44no—
614C23—44no—
615C23—44no—
616C23C2×#12112yes—
617C23#54612yes—
618C23#54612yes—
619C23C2×#13714yes—
620C23C2×#13712yes—
621C23#57512yes—
622C23#57712yes—
623C23#57812yes—
624C23C23×D411yescharacteristic
625Q8—42no—
626Q8—42no—
627Q8—42no—
628Q8—42no—
629Q8—42no—
630Q8—42no—
631Q8—42no—
632Q8—42no—
633Q8—84no—
634Q8—84no—
635D4—416no—
636C2×C4—28no—
637C2×C4—28no—
638C2×C4—22no—
639C2×C4—22no—
640C2×C4—22no—
641C2×C4—22no—
642C2×C4—22no—
643C2×C4—22no—
644C2×C4—24no—
645C2×C4—24no—
646C2×C4—22no—
647C2×C4—22no—
648C2×C4—22no—
649C2×C4—22no—
650C2×C4—48no—
651C2×C4—44no—
652C2×C4—44no—
653C2×C4—48no—
654C2×C4—42no—
655C2×C4—42no—
656C2×C4—42no—
657C2×C4—42no—
658C2×C4—42no—
659C2×C4—42no—
660C2×C4—42no—
661C2×C4—42no—
662C2×C4—42no—
663C2×C4—42no—
664C2×C4—42no—
665C2×C4—42no—
666C2×C4—48no—
667C2×C4—48no—
668C2×C4—42no—
669C2×C4—42no—
670C2×C4—42no—
671C2×C4—42no—
672C2×C4—42no—
673C2×C4—42no—
674C2×C4—42no—
675C2×C4—42no—
676C2×C4—42no—
677C2×C4—42no—
678C2×C4—42no—
679C2×C4—42no—
680C2×C4—42no—
681C2×C4—42no—
682C2×C4—42no—
683C2×C4—42no—
684C2×C4—42no—
685C2×C4—42no—
686C2×C4—84no—
687C2×C4—84no—
688C2×C4—84no—
689C2×C4—84no—
690C2×C4—84no—
691C2×C4—84no—
692C2×C4C2×#12114yes—
693C2×C4C2×#12114yes—
694C2×C4C2×#12112yes—
695C2×C4#53214yes—
696C2×C4#53514yes—
697C2×C4#54612yes—
698C2×C4#54612yes—
699C2×C4#55914yes—
700C2×C4#55914yes—
701C2×C4C23×D411yescharacteristic
702C2×C4C22×#4111yescharacteristic
703C2×C4C22×#4111yescharacteristic
704C2×C4C22×#4111yescharacteristic
705C2×C4C2×H(5,𝔽2)11yescharacteristic
706C2×C4C2×H(5,𝔽2)11yescharacteristic
707C8—24no—
708C8—24no—
709C8—42no—
710C8—42no—
711C22—24no—
712C22—24no—
713C22—24no—
714C22—42no—
715C22—42no—
716C22—416no—
717C22—42no—
718C22—42no—
719C22—42no—
720C22—42no—
721C22—42no—
722C22—42no—
723C22—42no—
724C22—42no—
725C22—42no—
726C22—88no—
727C22#254414yes—
728C22#305614yes—
729C22#306314yes—
730C22#330714yes—
731C22#331214yes—
732C22#331514yes—
733C22#332014yes—
734C22C22×#12111yescharacteristic
735C22C2×#54611yescharacteristic
736C22C2×#54611yescharacteristic
737C22C22×#13711yescharacteristic
738C22C2×#57511yescharacteristic
739C22C2×#57711yescharacteristic
740C22C2×#57811yescharacteristic
741C4—24no—
742C4—24no—
743C4—42no—
744C4—42no—
745C4—44no—
746C4—44no—
747C4—82no—
748C4—82no—
749C4—82no—
750C4—82no—
751C4—82no—
752C4—82no—
753C4#254414yes—
754C4C2×#53211yescharacteristic
755C4C2×#53511yescharacteristic
756C4C2×#55911yescharacteristic
757C4C2×#55911yescharacteristic
758C2—44no—
759C2—82no—
760C2#2861118yesdirect product factor
761C2C2×#254411yescharacteristic
762C2C2×#305611yescharacteristic
763C2C2×#306311yescharacteristic
764C2C2×#331211yescharacteristic
765C2C2×#332011yescharacteristic
766C2C2×#330711yescharacteristic
767C2C2×#331511yescharacteristic
subgroupG/H
center, socleC24C22×D4
commutator, Frattini, cosocleC22×C4C25
prime radicalC23×D4D4
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C24 ◁ C22×C4×D4 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C22×#491C2semidirect
5. #28611C2direct (N × H)
6. C2×#2036C2semidirect
7. C2×#2036C2semidirect
8. C2×#2035C2semidirect
9. C2×#2035C2semidirect
10. C2×#1989C2semidirect
11. C2×#1981C2semidirect
12. C2×#1894C2semidirect
13. C2×#1894C2semidirect
14. C2×#1892C2semidirect
15. C2×#1892C2semidirect
16. C2×#1776C2semidirect
27. C2×#491C22semidirect
62. #2036C22semidirect
63. #2036C22semidirect
64. #2035C22semidirect
65. #2035C22semidirect
66. #1989C22semidirect
67. #1981C22semidirect
68. #1894C22semidirect
69. #1894C22semidirect
70. #1892C22semidirect
71. #1892C22semidirect
72. #1776C22semidirect
760. C2#28611direct (N × H)

Maximal subgroups

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

subgroupindex
C22×#4912
C22×#4352
C2×#25422
C2×#25622
#286112
C2×#20362
C2×#20352
C2×#19892
C2×#19812
C2×#18942
C2×#18922
C2×#17762