Finite Group Databasebeta

← C2×#15138 #608371

Subgroups — C2×#15138 #608371

Order 512.

5734 conjugacy classes of subgroups.

The subgroup lattice has 820 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#397C212yesmaximal, complemented
2C22×#390C211yesmaximal, characteristic
3C22×#390C211yesmaximal, characteristic
4C22×#390C211yesmaximal, characteristic
5C22×#389C211yesmaximal, characteristic, complemented
6#15138C2116yesmaximal, direct product factor
7C2×#1440C212yesmaximal, complemented
8C2×#1440C212yesmaximal, complemented
9C2×#1439C212yesmaximal, complemented
10C2×C4⋊#95C211yesmaximal, characteristic, complemented
11C2×C4⋊#95C211yesmaximal, characteristic, complemented
12C2×C4×#95C211yesmaximal, characteristic, complemented
13C24×D4C2211yescharacteristic
14C23×C4⋊C4C2211yescharacteristic
15C23×C4⋊C4C2211yescharacteristic
16C23×C4⋊C4C2212yes—
17C23×C4⋊C4C2211yescharacteristic
18C23×C22⋊C4C2212yes—
19C23×C22⋊C4C2212yes—
20C23×C22⋊C4C2212yes—
21C23×C22⋊C4C2212yes—
22C23×C22⋊C4C2212yes—
23C23×C22⋊C4C2212yes—
24C23×C42C2211yescharacteristic
25C23×C42C2211yescharacteristic
26C23×C42C2211yescharacteristic
27C2×#397—216no—
28C2×#397C22116yescomplemented
29C2×#390—28no—
30C2×#390—28no—
31C2×#390—28no—
32C2×#390C2218yes—
33C2×#390C2218yes—
34C2×#390C2218yes—
35C2×#389—28no—
36C2×#389C2218yescomplemented
37C22×#95C2211yescharacteristic
38C22×#95C2211yescharacteristic
39C22×#95C2211yescharacteristic
40C22×#95C2212yes—
41C22×#95C2212yes—
42C22×#95C2212yes—
43C22×#95C2212yes—
44C22×#95C2212yes—
45C22×#95C2211yescharacteristic
46#1440C22116yescomplemented
47#1440C22116yescomplemented
48#1439C22116yescomplemented
49C4⋊#95C2218yescomplemented
50C4⋊#95C2218yescomplemented
51C4×#95C2218yescomplemented
52C26C2312yes—
53C23×D4—24no—
54C23×D4—24no—
55C23×D4—24no—
56C23×D4—24no—
57C23×D4—24no—
58C23×D4—24no—
59C23×D4D418yes—
60C23×D4C2314yes—
61C24×C4C2312yes—
62C24×C4C2312yes—
63C24×C4C2311yescharacteristic
64C24×C4C2311yescharacteristic
65C24×C4C2311yescharacteristic
66C24×C4C2312yes—
67C24×C4C2311yescharacteristic
68C24×C4C2311yescharacteristic
69C24×C4C2311yescharacteristic
70C24×C4C2311yescharacteristic
71C22×C4⋊C4—24no—
72C22×C4⋊C4—24no—
73C22×C4⋊C4—28no—
74C22×C4⋊C4—28no—
75C22×C4⋊C4—24no—
76C22×C4⋊C4—24no—
77C22×C4⋊C4—24no—
78C22×C4⋊C4—24no—
79C22×C4⋊C4—24no—
80C22×C4⋊C4—24no—
81C22×C4⋊C4—44no—
82C22×C4⋊C4D418yes—
83C22×C4⋊C4C2314yes—
84C22×C4⋊C4C2314yes—
85C22×C4⋊C4C2318yes—
86C22×C4⋊C4C2314yes—
87C22×C22⋊C4—28no—
88C22×C22⋊C4—28no—
89C22×C22⋊C4—28no—
90C22×C22⋊C4—28no—
91C22×C22⋊C4—28no—
92C22×C22⋊C4—28no—
93C22×C22⋊C4—28no—
94C22×C22⋊C4—28no—
95C22×C22⋊C4—28no—
96C22×C22⋊C4—28no—
97C22×C22⋊C4—28no—
98C22×C22⋊C4—28no—
99C22×C22⋊C4—44no—
100C22×C22⋊C4—44no—
101C22×C22⋊C4—44no—
102C22×C22⋊C4—44no—
103C22×C22⋊C4—44no—
104C22×C22⋊C4—44no—
105C22×C22⋊C4C2318yes—
106C22×C22⋊C4C2318yes—
107C22×C22⋊C4C2318yes—
108C22×C22⋊C4C2318yes—
109C22×C22⋊C4C2318yes—
110C22×C22⋊C4C2318yes—
111C22×C42—24no—
112C22×C42—24no—
113C22×C42—24no—
114C22×C42—24no—
115C22×C42—24no—
116C22×C42—24no—
117C22×C42—24no—
118C22×C42—24no—
119C22×C42—24no—
120C22×C42C2314yes—
121C22×C42C2314yes—
122C22×C42C2314yes—
123#397—264no—
124#390—232no—
125#390—232no—
126#390—232no—
127#389—232no—
128C2×#95—28no—
129C2×#95—28no—
130C2×#95—28no—
131C2×#95—24no—
132C2×#95—24no—
133C2×#95—24no—
134C2×#95—44no—
135C2×#95—44no—
136C2×#95D418yescomplemented
137C2×#95C2318yes—
138C2×#95C2318yes—
139C2×#95C2314yes—
140C2×#95C2314yes—
141C2×#95C2314yes—
142C2×#95C2318yes—
143C2×#95C2318yes—
144C2×#95C2318yes—
145C2×#95C2314yes—
146C25—24no—
147C25—24no—
148C25—24no—
149C25—24no—
150C25—24no—
151C25—24no—
152C25—24no—
153C25—24no—
154C25—24no—
155C25—24no—
156C25—24no—
157C25—24no—
158C25—24no—
159C25—24no—
160C25C2×D418yes—
161C25C2414yes—
162C25C2411yescharacteristic
163C22×D4—232no—
164C22×D4—232no—
165C22×D4—232no—
166C22×D4—28no—
167C22×D4—28no—
168C22×D4—28no—
169C22×D4—28no—
170C22×D4—28no—
171C22×D4—28no—
172C22×D4—416no—
173C22×D4—416no—
174C22×D4—416no—
175C22×D4—416no—
176C22×D4C2×D4116yes—
177C23×C4—22no—
178C23×C4—22no—
179C23×C4—22no—
180C23×C4—22no—
181C23×C4—22no—
182C23×C4—22no—
183C23×C4—24no—
184C23×C4—22no—
185C23×C4—22no—
186C23×C4—24no—
187C23×C4—24no—
188C23×C4—24no—
189C23×C4—22no—
190C23×C4—22no—
191C23×C4—22no—
192C23×C4—22no—
193C23×C4—22no—
194C23×C4—22no—
195C23×C4—22no—
196C23×C4—22no—
197C23×C4—22no—
198C23×C4—22no—
199C23×C4—22no—
200C23×C4—22no—
201C23×C4—22no—
202C23×C4—22no—
203C23×C4—22no—
204C23×C4—22no—
205C23×C4—22no—
206C23×C4—22no—
207C23×C4—22no—
208C23×C4—22no—
209C23×C4—22no—
210C23×C4—22no—
211C23×C4—24no—
212C23×C4—24no—
213C23×C4—22no—
214C23×C4—22no—
215C23×C4—22no—
216C23×C4—22no—
217C23×C4—22no—
218C23×C4—22no—
219C23×C4—24no—
220C23×C4—24no—
221C23×C4—24no—
222C23×C4—24no—
223C23×C4—24no—
224C23×C4—24no—
225C23×C4—24no—
226C23×C4—24no—
227C23×C4—24no—
228C23×C4—24no—
229C23×C4—24no—
230C23×C4—24no—
231C23×C4—24no—
232C23×C4—24no—
233C23×C4C2×D414yes—
234C23×C4C2×D418yes—
235C23×C4C2×D414yes—
236C23×C4C2×D414yes—
237C23×C4C2×D414yes—
238C23×C4C2×D414yes—
239C23×C4#4114yes—
240C23×C4#4114yes—
241C23×C4#4114yes—
242C23×C4#4114yes—
243C23×C4#4114yes—
244C23×C4#4114yes—
245C23×C4#4114yes—
246C23×C4#4114yes—
247C23×C4C2414yes—
248C23×C4C2414yes—
249C23×C4C2414yes—
250C23×C4C2412yes—
251C23×C4C2412yes—
252C23×C4C2412yes—
253C23×C4C2412yes—
254C23×C4C2412yes—
255C23×C4C2412yes—
256C23×C4C2412yes—
257C2×C4⋊C4—232no—
258C2×C4⋊C4—28no—
259C2×C4⋊C4—28no—
260C2×C4⋊C4—216no—
261C2×C4⋊C4—28no—
262C2×C4⋊C4—28no—
263C2×C4⋊C4—28no—
264C2×C4⋊C4—216no—
265C2×C4⋊C4—28no—
266C2×C4⋊C4—28no—
267C2×C4⋊C4—28no—
268C2×C4⋊C4—48no—
269C2×C4⋊C4—432no—
270C2×C4⋊C4—416no—
271C2×C4⋊C4—416no—
272C2×C4⋊C4C2×D4116yes—
273C2×C22⋊C4—216no—
274C2×C22⋊C4—216no—
275C2×C22⋊C4—216no—
276C2×C22⋊C4—216no—
277C2×C22⋊C4—216no—
278C2×C22⋊C4—216no—
279C2×C22⋊C4—216no—
280C2×C22⋊C4—216no—
281C2×C22⋊C4—216no—
282C2×C22⋊C4—216no—
283C2×C22⋊C4—216no—
284C2×C22⋊C4—216no—
285C2×C22⋊C4—48no—
286C2×C22⋊C4—48no—
287C2×C22⋊C4—48no—
288C2×C22⋊C4—48no—
289C2×C22⋊C4—48no—
290C2×C22⋊C4—48no—
291C2×C22⋊C4—432no—
292C2×C22⋊C4—432no—
293C2×C22⋊C4—432no—
294C2×C22⋊C4—432no—
295C2×C22⋊C4—432no—
296C2×C22⋊C4—432no—
297C2×C42—28no—
298C2×C42—28no—
299C2×C42—28no—
300C2×C42—28no—
301C2×C42—28no—
302C2×C42—28no—
303C2×C42—28no—
304C2×C42—28no—
305C2×C42—28no—
306C2×C42—416no—
307C2×C42—416no—
308C2×C42—416no—
309#95—216no—
310#95—216no—
311#95—216no—
312#95—28no—
313#95—28no—
314#95—28no—
315#95—48no—
316#95—48no—
317#95C2×D4116yescomplemented
318C24—216no—
319C24—216no—
320C24—216no—
321C24—216no—
322C24—216no—
323C24—216no—
324C24—216no—
325C24—24no—
326C24—24no—
327C24—24no—
328C24—24no—
329C24—24no—
330C24—24no—
331C24—24no—
332C24—24no—
333C24—24no—
334C24—24no—
335C24—24no—
336C24—24no—
337C24—24no—
338C24—24no—
339C24—48no—
340C24—48no—
341C24—48no—
342C24—48no—
343C24—48no—
344C24—48no—
345C24—48no—
346C24—48no—
347C24—48no—
348C24—48no—
349C24—48no—
350C24—48no—
351C24—48no—
352C24—48no—
353C24—48no—
354C24—48no—
355C24—48no—
356C24—48no—
357C24—48no—
358C24—48no—
359C24—48no—
360C24—48no—
361C24—48no—
362C24—48no—
363C24—48no—
364C24—48no—
365C24—48no—
366C24—48no—
367C24C22×D418yes—
368C24C22×D412yes—
369C24C22×D412yes—
370C24C22×D412yes—
371C24C2×#4112yes—
372C24C2×#4112yes—
373C24C2×#4112yes—
374C24C2×#4112yes—
375C24C2×#4112yes—
376C24C2×#4112yes—
377C24C2×#4112yes—
378C24C2×#4112yes—
379C24H(5,𝔽2)12yes—
380C24H(5,𝔽2)12yes—
381C24H(5,𝔽2)12yes—
382C242−1+412yes—
383C24C2511yescharacteristic
384C2×D4—232no—
385C2×D4—232no—
386C2×D4—232no—
387C2×D4—416no—
388C2×D4—416no—
389C2×D4—416no—
390C2×D4—416no—
391C2×D4—4128no—
392C22×C4—216no—
393C22×C4—28no—
394C22×C4—28no—
395C22×C4—28no—
396C22×C4—28no—
397C22×C4—28no—
398C22×C4—28no—
399C22×C4—28no—
400C22×C4—28no—
401C22×C4—28no—
402C22×C4—216no—
403C22×C4—28no—
404C22×C4—28no—
405C22×C4—28no—
406C22×C4—28no—
407C22×C4—216no—
408C22×C4—28no—
409C22×C4—28no—
410C22×C4—28no—
411C22×C4—28no—
412C22×C4—28no—
413C22×C4—22no—
414C22×C4—24no—
415C22×C4—22no—
416C22×C4—22no—
417C22×C4—22no—
418C22×C4—22no—
419C22×C4—22no—
420C22×C4—22no—
421C22×C4—22no—
422C22×C4—22no—
423C22×C4—22no—
424C22×C4—22no—
425C22×C4—22no—
426C22×C4—22no—
427C22×C4—22no—
428C22×C4—22no—
429C22×C4—22no—
430C22×C4—22no—
431C22×C4—22no—
432C22×C4—22no—
433C22×C4—22no—
434C22×C4—22no—
435C22×C4—22no—
436C22×C4—22no—
437C22×C4—22no—
438C22×C4—24no—
439C22×C4—24no—
440C22×C4—24no—
441C22×C4—22no—
442C22×C4—22no—
443C22×C4—24no—
444C22×C4—22no—
445C22×C4—22no—
446C22×C4—22no—
447C22×C4—22no—
448C22×C4—22no—
449C22×C4—22no—
450C22×C4—24no—
451C22×C4—22no—
452C22×C4—22no—
453C22×C4—22no—
454C22×C4—22no—
455C22×C4—24no—
456C22×C4—24no—
457C22×C4—24no—
458C22×C4—24no—
459C22×C4—24no—
460C22×C4—24no—
461C22×C4—24no—
462C22×C4—24no—
463C22×C4—24no—
464C22×C4—24no—
465C22×C4—24no—
466C22×C4—24no—
467C22×C4—24no—
468C22×C4—24no—
469C22×C4—44no—
470C22×C4—44no—
471C22×C4—44no—
472C22×C4—44no—
473C22×C4—44no—
474C22×C4—44no—
475C22×C4—48no—
476C22×C4—44no—
477C22×C4—44no—
478C22×C4—48no—
479C22×C4—44no—
480C22×C4—44no—
481C22×C4—44no—
482C22×C4—44no—
483C22×C4—44no—
484C22×C4—44no—
485C22×C4—44no—
486C22×C4—44no—
487C22×C4—44no—
488C22×C4—44no—
489C22×C4—44no—
490C22×C4—48no—
491C22×C4—44no—
492C22×C4—44no—
493C22×C4—44no—
494C22×C4—44no—
495C22×C4—44no—
496C22×C4—48no—
497C22×C4—48no—
498C22×C4—48no—
499C22×C4—48no—
500C22×C4—48no—
501C22×C4—48no—
502C22×C4—48no—
503C22×C4—48no—
504C22×C4—48no—
505C22×C4—48no—
506C22×C4—48no—
507C22×C4—48no—
508C22×C4—48no—
509C22×C4—48no—
510C22×C4—48no—
511C22×C4#121116yes—
512C22×C4#123116yes—
513C22×C4#123116yes—
514C22×C4#123116yes—
515C22×C4#124116yes—
516C22×C4#126116yes—
517C22×C4#126116yes—
518C22×C4C22×D414yes—
519C22×C4C22×D414yes—
520C22×C4C22×D418yes—
521C22×C4C22×D414yes—
522C22×C4C22×D414yes—
523C22×C4C22×D414yes—
524C22×C4C2×#4114yes—
525C22×C4C2×#4114yes—
526C22×C4C2×#4114yes—
527C22×C4C2×#4114yes—
528C22×C4C2×#4114yes—
529C22×C4C2×#4114yes—
530C22×C4C2×#4114yes—
531C22×C4C2×#4114yes—
532C4⋊C4—232no—
533C4⋊C4—432no—
534C4⋊C4—416no—
535C4⋊C4—416no—
536C22⋊C4—432no—
537C22⋊C4—432no—
538C22⋊C4—432no—
539C22⋊C4—432no—
540C22⋊C4—432no—
541C22⋊C4—432no—
542C42—416no—
543C42—416no—
544C42—416no—
545C23—28no—
546C23—28no—
547C23—28no—
548C23—28no—
549C23—28no—
550C23—28no—
551C23—28no—
552C23—432no—
553C23—44no—
554C23—44no—
555C23—44no—
556C23—44no—
557C23—44no—
558C23—44no—
559C23—44no—
560C23—44no—
561C23—44no—
562C23—44no—
563C23—432no—
564C23—432no—
565C23—432no—
566C23—432no—
567C23—44no—
568C23—44no—
569C23—44no—
570C23—44no—
571C23—44no—
572C23—44no—
573C23—44no—
574C23—44no—
575C23—44no—
576C23—44no—
577C23—44no—
578C23—44no—
579C23—432no—
580C23—432no—
581C23—44no—
582C23—44no—
583C23—44no—
584C23—44no—
585C23—44no—
586C23—44no—
587C23—816no—
588C23—816no—
589C23—816no—
590C23—816no—
591C23—816no—
592C23—816no—
593C23—816no—
594C23—816no—
595C23C2×#12114yes—
596C23C2×#12314yes—
597C23C2×#12314yes—
598C23C2×#12314yes—
599C23C2×#12414yes—
600C23C2×#12614yes—
601C23C2×#12614yes—
602C23#52914yes—
603C23#52914yes—
604C23#52914yes—
605C23#53214yes—
606C23#53214yes—
607C23#53214yes—
608C23#54014yes—
609C23#54014yes—
610C23#54014yes—
611C23#54214yes—
612C23#54214yes—
613C23#54214yes—
614C23D4214yes—
615C23D4214yes—
616C23#54614yes—
617C23#54614yes—
618C23#54614yes—
619C23#54714yes—
620C23#54714yes—
621C23#54814yes—
622C23#55014yes—
623C23#55014yes—
624C23#55314yes—
625C23#55314yes—
626C23#55514yes—
627C23#55614yes—
628C23#55914yes—
629C23#55914yes—
630C23C23×D411yescharacteristic
631C23C23×D411yescharacteristic
632C23C23×D411yescharacteristic
633C23C22×#4111yescharacteristic
634C23C22×#4111yescharacteristic
635C23C22×#4111yescharacteristic
636C23C22×#4111yescharacteristic
637C23C22×#4111yescharacteristic
638C23C22×#4111yescharacteristic
639C23C22×#4111yescharacteristic
640C23C22×#4111yescharacteristic
641C23C2×H(5,𝔽2)11yescharacteristic
642C23C2×H(5,𝔽2)11yescharacteristic
643C23C2×H(5,𝔽2)11yescharacteristic
644C23C2×2−1+411yescharacteristic
645D4—464no—
646C2×C4—28no—
647C2×C4—24no—
648C2×C4—24no—
649C2×C4—24no—
650C2×C4—24no—
651C2×C4—24no—
652C2×C4—24no—
653C2×C4—24no—
654C2×C4—24no—
655C2×C4—24no—
656C2×C4—28no—
657C2×C4—24no—
658C2×C4—24no—
659C2×C4—24no—
660C2×C4—24no—
661C2×C4—28no—
662C2×C4—24no—
663C2×C4—24no—
664C2×C4—24no—
665C2×C4—24no—
666C2×C4—24no—
667C2×C4—42no—
668C2×C4—42no—
669C2×C4—42no—
670C2×C4—42no—
671C2×C4—42no—
672C2×C4—42no—
673C2×C4—44no—
674C2×C4—416no—
675C2×C4—416no—
676C2×C4—416no—
677C2×C4—416no—
678C2×C4—42no—
679C2×C4—44no—
680C2×C4—42no—
681C2×C4—42no—
682C2×C4—42no—
683C2×C4—42no—
684C2×C4—42no—
685C2×C4—42no—
686C2×C4—42no—
687C2×C4—42no—
688C2×C4—42no—
689C2×C4—42no—
690C2×C4—42no—
691C2×C4—42no—
692C2×C4—44no—
693C2×C4—42no—
694C2×C4—432no—
695C2×C4—42no—
696C2×C4—42no—
697C2×C4—42no—
698C2×C4—42no—
699C2×C4—44no—
700C2×C4—416no—
701C2×C4—416no—
702C2×C4—44no—
703C2×C4—44no—
704C2×C4—44no—
705C2×C4—44no—
706C2×C4—44no—
707C2×C4—44no—
708C2×C4—44no—
709C2×C4—44no—
710C2×C4—44no—
711C2×C4—44no—
712C2×C4—44no—
713C2×C4—44no—
714C2×C4—44no—
715C2×C4—44no—
716C2×C4—816no—
717C2×C4—816no—
718C2×C4#397164yescomplemented
719C2×C4C2×#12118yes—
720C2×C4C2×#12318yes—
721C2×C4C2×#12318yes—
722C2×C4C2×#12318yes—
723C2×C4C2×#12418yes—
724C2×C4C2×#12618yes—
725C2×C4C2×#12618yes—
726C22—48no—
727C22—48no—
728C22—48no—
729C22—48no—
730C22—48no—
731C22—48no—
732C22—48no—
733C22—84no—
734C22—864no—
735C22—84no—
736C22—84no—
737C22—84no—
738C22—84no—
739C22—84no—
740C22—84no—
741C22—84no—
742C22C2×#39718yes—
743C22#242018yes—
744C22#242218yes—
745C22#242718yes—
746C22#242818yes—
747C22#244518yes—
748C22#244518yes—
749C22#244718yes—
750C22#244818yes—
751C22#249018yes—
752C22#249118yes—
753C22#251218yes—
754C22#251318yes—
755C22#264418yes—
756C22#286018yes—
757C22C22×#12111yescharacteristic
758C22C22×#12311yescharacteristic
759C22C22×#12311yescharacteristic
760C22C22×#12311yescharacteristic
761C22C22×#12411yescharacteristic
762C22C22×#12611yescharacteristic
763C22C22×#12611yescharacteristic
764C22C2×#52911yescharacteristic
765C22C2×#52911yescharacteristic
766C22C2×#52911yescharacteristic
767C22C2×#53211yescharacteristic
768C22C2×#53211yescharacteristic
769C22C2×#53211yescharacteristic
770C22C2×#54011yescharacteristic
771C22C2×#54011yescharacteristic
772C22C2×#54011yescharacteristic
773C22C2×#54211yescharacteristic
774C22C2×#54211yescharacteristic
775C22C2×#54211yescharacteristic
776C22C2×D4211yescharacteristic
777C22C2×D4211yescharacteristic
778C22C2×#54611yescharacteristic
779C22C2×#54611yescharacteristic
780C22C2×#54611yescharacteristic
781C22C2×#54711yescharacteristic
782C22C2×#54711yescharacteristic
783C22C2×#54811yescharacteristic
784C22C2×#55011yescharacteristic
785C22C2×#55011yescharacteristic
786C22C2×#55311yescharacteristic
787C22C2×#55311yescharacteristic
788C22C2×#55511yescharacteristic
789C22C2×#55611yescharacteristic
790C22C2×#55911yescharacteristic
791C22C2×#55911yescharacteristic
792C4—44no—
793C4—44no—
794C4—48no—
795C4—44no—
796C4—44no—
797C4—44no—
798C4—44no—
799C4—84no—
800C4—84no—
801C4C2×#397116yescomplemented
802C2—88no—
803C2#15138116yesdirect product factor
804C2C22×#39711yescharacteristic
805C2C2×#264411yescharacteristic
806C2C2×#242211yescharacteristic
807C2C2×#242811yescharacteristic
808C2C2×#244511yescharacteristic
809C2C2×#244511yescharacteristic
810C2C2×#242011yescharacteristic
811C2C2×#242711yescharacteristic
812C2C2×#244711yescharacteristic
813C2C2×#244811yescharacteristic
814C2C2×#249111yescharacteristic
815C2C2×#251211yescharacteristic
816C2C2×#249011yescharacteristic
817C2C2×#251311yescharacteristic
818C2C2×#286011yescharacteristic
subgroupG/H
center, socleC25C24
commutator, Frattini, cosocleC24C25
prime radicalC24×D4C22
LCSG ▷ C24 ▷ C1
UCSC1 ◁ C25 ◁ G
LECSG ▷ C24 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C22×#397C2semidirect
5. C22×#389C2semidirect
6. #15138C2direct (N × H)
7. C2×#1440C2semidirect
8. C2×#1440C2semidirect
9. C2×#1439C2semidirect
10. C2×C4⋊#95C2semidirect
11. C2×C4⋊#95C2semidirect
12. C2×C4×#95C2semidirect
28. C2×#397C22semidirect
36. C2×#389C22semidirect
46. #1440C22semidirect
47. #1440C22semidirect
48. #1439C22semidirect
49. C4⋊#95C22semidirect
50. C4⋊#95C22semidirect
51. C4×#95C22semidirect
136. C2×#95D4semidirect
317. #95C2×D4semidirect
718. C2×C4#397semidirect
801. C4C2×#397semidirect
803. C2#15138direct (N × H)

Maximal subgroups

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

subgroupindex
C22×#3972
C22×#3902
C22×#3892
#151382
C2×#14402
C2×#14392
C2×C4⋊#952
C2×C4×#952