Finite Group Databasebeta

← C2×#11274 #358282

Subgroups — C2×#11274 #358282

Order 512.

1690 conjugacy classes of subgroups.

The subgroup lattice has 780 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#428C211yesmaximal, characteristic
2C22×#344C211yesmaximal, characteristic
3C2×#1742C211yesmaximal, characteristic
4C22×#343C211yesmaximal, characteristic
5C2×#1738C211yesmaximal, characteristic
6C2×#1736C211yesmaximal, characteristic
7C2×#1733C211yesmaximal, characteristic
8#11274C218yesmaximal, direct product factor
9C23×M16C2211yescharacteristic
10C23×M16C2211yescharacteristic
11C23×M16C2211yescharacteristic
12C23×M16C2211yescharacteristic
13C22×#117C2211yescharacteristic
14C22×#117C2211yescharacteristic
15C23×C4⋊C4C2211yescharacteristic
16C2×#428—22no—
17C2×#428—22no—
18C2×#428—22no—
19C2×#428—22no—
20C2×#428—22no—
21C2×#428C2214yes—
22C22×#107—21no—
23C22×#106—21no—
24C2×#344C418yescomplemented
25C2×#344C2214yes—
26#1742—22no—
27#1742C2214yes—
28C2×#343—22no—
29C2×#343—22no—
30C2×#343—21no—
31C2×#343—21no—
32C2×#343C2214yes—
33#1738—22no—
34#1738C2214yes—
35C2×#341—22no—
36#1736—22no—
37#1736C2214yes—
38C2×#340—22no—
39#1733—22no—
40#1733C2214yes—
41C2×#339—22no—
42C24×C4—21no—
43C24×C4C2311yescharacteristic
44C22×M16—21no—
45C22×M16—21no—
46C22×M16—21no—
47C22×M16—22no—
48C22×M16—22no—
49C22×M16—21no—
50C22×M16—21no—
51C22×M16—22no—
52C22×M16—21no—
53C22×M16—21no—
54C22×M16—22no—
55C22×M16—21no—
56C22×M16—21no—
57C22×M16—21no—
58C22×M16—21no—
59C22×M16—21no—
60C22×M16—21no—
61C22×M16—21no—
62C22×M16—21no—
63C22×M16—21no—
64C22×M16—22no—
65C22×M16—22no—
66C22×M16—22no—
67C22×M16—22no—
68C22×M16—22no—
69C22×M16—22no—
70C22×M16—22no—
71C22×M16—22no—
72C22×M16C2×C414yes—
73C22×M16C2×C414yes—
74C22×M16D412yes—
75C22×M16D412yes—
76C22×M16D412yes—
77C22×M16D412yes—
78C22×M16Q814yes—
79C22×M16Q814yes—
80C22×M16C2312yes—
81C22×M16C2312yes—
82C22×M16C2312yes—
83C22×M16C2312yes—
84C23×C8—21no—
85C23×C8—21no—
86C23×C8—21no—
87C23×C8—21no—
88C2×#117—21no—
89C2×#117—21no—
90C2×#117—21no—
91C2×#117—22no—
92C2×#117—21no—
93C2×#117—22no—
94C2×#117—21no—
95C2×#117—21no—
96C2×#117—21no—
97C2×#117—21no—
98C2×#117—21no—
99C2×#117—21no—
100C2×#117—21no—
101C2×#117—21no—
102C2×#117—21no—
103C2×#117—22no—
104C2×#117C2×C414yes—
105C2×#117D412yes—
106C2×#117C2312yes—
107C2×#117C2312yes—
108C22×C4⋊C4—21no—
109C22×C4⋊C4—21no—
110C22×C4⋊C4—21no—
111C22×C4⋊C4—21no—
112C22×C4⋊C4—21no—
113C22×C4⋊C4—21no—
114C22×C4⋊C4—21no—
115C22×C4⋊C4—21no—
116C22×C4⋊C4—21no—
117C22×C4⋊C4—21no—
118C22×C4⋊C4—21no—
119C22×C4⋊C4—21no—
120C22×C4⋊C4D411yescharacteristic
121C22×C4⋊C4D411yescharacteristic
122C22×C4⋊C4D412yes—
123C22×C4⋊C4D412yes—
124C22×C4⋊C4C2312yes—
125C22×C22⋊C4—21no—
126C22×C22⋊C4—21no—
127C22×C42—21no—
128C22×C42—21no—
129#428—28no—
130#428—28no—
131#428—28no—
132#428—28no—
133C2×#107—24no—
134C2×#107—24no—
135C2×#107—24no—
136C2×#106—24no—
137C2×#106—24no—
138C2×#106—24no—
139#344C2×C4116yescomplemented
140#343—28no—
141#343—24no—
142#343—24no—
143#341—28no—
144#340—28no—
145#339—28no—
146C25#4111yescharacteristic
147C23×C4—22no—
148C23×C4—22no—
149C23×C4—21no—
150C23×C4—21no—
151C23×C4—22no—
152C23×C4—41no—
153C23×C4—41no—
154C23×C4—41no—
155C23×C4—41no—
156C23×C4—41no—
157C23×C4—84no—
158C23×C4C22×C412yes—
159C23×C4C2×D411yescharacteristic
160C23×C4C2×D411yescharacteristic
161C23×C4C2×D411yescharacteristic
162C23×C4C2×D411yescharacteristic
163C23×C4C2×D411yescharacteristic
164C23×C4C2×D411yescharacteristic
165C23×C4C2×D411yescharacteristic
166C23×C4C2×D411yescharacteristic
167C23×C4C2×Q812yes—
168C23×C4C2×Q812yes—
169C23×C4#4111yescharacteristic
170C23×C4#4111yescharacteristic
171C23×C4#4111yescharacteristic
172C23×C4#4112yes—
173C23×C4#4112yes—
174C23×C4#4112yes—
175C23×C4#4112yes—
176C23×C4#4112yes—
177C23×C4#4111yescharacteristic
178C23×C4#4111yescharacteristic
179C23×C4C2411yescharacteristic
180C2×M16—24no—
181C2×M16—24no—
182C2×M16—24no—
183C2×M16—22no—
184C2×M16—22no—
185C2×M16—24no—
186C2×M16—24no—
187C2×M16—24no—
188C2×M16—24no—
189C2×M16—24no—
190C2×M16—22no—
191C2×M16—22no—
192C2×M16—22no—
193C2×M16—24no—
194C2×M16—22no—
195C2×M16—22no—
196C2×M16—24no—
197C2×M16—22no—
198C2×M16—22no—
199C2×M16—22no—
200C2×M16—24no—
201C2×M16—24no—
202C2×M16—24no—
203C2×M16—24no—
204C2×M16—24no—
205C2×M16—24no—
206C2×M16—24no—
207C2×M16—24no—
208C2×M16—24no—
209C2×M16—24no—
210C2×M16—24no—
211C2×M16—24no—
212C2×M16—22no—
213C2×M16—22no—
214C2×M16—22no—
215C2×M16—22no—
216C2×M16—22no—
217C2×M16—22no—
218C2×M16—22no—
219C2×M16—22no—
220C2×M16—22no—
221C2×M16—22no—
222C2×M16—22no—
223C2×M16—22no—
224C2×M16—41no—
225C2×M16—41no—
226C2×M16—41no—
227C2×M16—41no—
228C2×M16—42no—
229C2×M16—42no—
230C2×M16—42no—
231C2×M16—42no—
232C2×M16—42no—
233C2×M16—42no—
234C2×M16—42no—
235C2×M16—42no—
236C2×M16—42no—
237C2×M16—42no—
238C2×M16—42no—
239C2×M16—42no—
240C2×M16—42no—
241C2×M16—42no—
242C2×M16—42no—
243C2×M16—42no—
244C2×M16C4⋊C418yes—
245C2×M16C4⋊C418yes—
246C2×M16C22×C414yes—
247C2×M16C22×C414yes—
248C2×M16C2×D414yes—
249C2×M16C2×D414yes—
250C2×M16C2×Q814yes—
251C2×M16C2×Q814yes—
252C22×C8—24no—
253C22×C8—22no—
254C22×C8—22no—
255C22×C8—24no—
256C22×C8—22no—
257C22×C8—24no—
258C22×C8—22no—
259C22×C8—22no—
260C22×C8—24no—
261C22×C8—22no—
262C22×C8—22no—
263C22×C8—22no—
264C22×C8—41no—
265C22×C8—41no—
266C22×C8—41no—
267C22×C8—41no—
268C22×C8—42no—
269C22×C8—42no—
270C22×C8—42no—
271C22×C8—42no—
272#117—24no—
273#117—22no—
274#117—24no—
275#117—22no—
276#117—24no—
277#117—22no—
278#117—22no—
279#117—22no—
280#117—22no—
281#117—22no—
282#117—22no—
283#117—22no—
284#117—22no—
285#117—22no—
286#117—41no—
287#117—41no—
288#117—41no—
289#117—41no—
290#117—42no—
291#117—41no—
292#117—41no—
293#117—42no—
294#117—41no—
295#117—41no—
296#117—42no—
297#117C22×C414yes—
298C2×C4⋊C4—24no—
299C2×C4⋊C4—22no—
300C2×C4⋊C4—22no—
301C2×C4⋊C4—22no—
302C2×C4⋊C4—22no—
303C2×C4⋊C4—21no—
304C2×C4⋊C4—21no—
305C2×C4⋊C4—21no—
306C2×C4⋊C4—21no—
307C2×C4⋊C4—21no—
308C2×C4⋊C4—21no—
309C2×C4⋊C4—21no—
310C2×C4⋊C4—21no—
311C2×C4⋊C4—22no—
312C2×C4⋊C4—22no—
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—21no—
323C2×C4⋊C4—21no—
324C2×C4⋊C4—22no—
325C2×C4⋊C4—41no—
326C2×C4⋊C4—41no—
327C2×C4⋊C4—41no—
328C2×C4⋊C4—41no—
329C2×C4⋊C4—41no—
330C2×C4⋊C4—41no—
331C2×C4⋊C4—41no—
332C2×C4⋊C4—41no—
333C2×C4⋊C4—41no—
334C2×C4⋊C4—41no—
335C2×C4⋊C4—41no—
336C2×C4⋊C4—41no—
337C2×C4⋊C4—41no—
338C2×C4⋊C4—42no—
339C2×C4⋊C4C2×D414yes—
340C2×C4⋊C4C2×D412yes—
341C2×C4⋊C4C2×D412yes—
342C2×C22⋊C4—24no—
343C2×C22⋊C4—22no—
344C2×C22⋊C4—22no—
345C2×C22⋊C4—22no—
346C2×C22⋊C4—41no—
347C2×C22⋊C4—41no—
348C2×C22⋊C4—41no—
349C2×C22⋊C4—41no—
350C2×C22⋊C4—41no—
351C2×C22⋊C4—42no—
352C2×C42—24no—
353C2×C42—22no—
354C2×C42—22no—
355C2×C42—22no—
356C2×C42—41no—
357C2×C42—41no—
358C2×C42—41no—
359C2×C42—42no—
360C2×C42—41no—
361C2×C42—41no—
362#107—216no—
363#106—216no—
364C24—42no—
365C24—42no—
366C24#11712yes—
367C24#12111yescharacteristic
368C24#12111yescharacteristic
369C24#12311yescharacteristic
370C24#12311yescharacteristic
371C24#12411yescharacteristic
372C24#12411yescharacteristic
373C24#12512yes—
374C24#12512yes—
375C24#12612yes—
376C24C2×#4111yescharacteristic
377C22×C4—24no—
378C22×C4—22no—
379C22×C4—22no—
380C22×C4—42no—
381C22×C4—42no—
382C22×C4—42no—
383C22×C4—44no—
384C22×C4—41no—
385C22×C4—41no—
386C22×C4—42no—
387C22×C4—42no—
388C22×C4—42no—
389C22×C4—41no—
390C22×C4—41no—
391C22×C4—42no—
392C22×C4—82no—
393C22×C4—82no—
394C22×C4—84no—
395C22×C4—84no—
396C22×C4—84no—
397C22×C4—84no—
398C22×C4—82no—
399C22×C4—82no—
400C22×C4—84no—
401C22×C4—84no—
402C22×C4—84no—
403C22×C4C2×C4⋊C412yes—
404C22×C4C2×C4⋊C412yes—
405C22×C4#11712yes—
406C22×C4#11712yes—
407C22×C4#11712yes—
408C22×C4C4×D412yes—
409C22×C4C4×D412yes—
410C22×C4C4×D412yes—
411C22×C4C4×D412yes—
412C22×C4C4×D412yes—
413C22×C4C4×D412yes—
414C22×C4C4×Q812yes—
415C22×C4C4×Q812yes—
416C22×C4#12011yescharacteristic
417C22×C4#12011yescharacteristic
418C22×C4#12011yescharacteristic
419C22×C4#12011yescharacteristic
420C22×C4#12111yescharacteristic
421C22×C4#12111yescharacteristic
422C22×C4#12111yescharacteristic
423C22×C4#12111yescharacteristic
424C22×C4#12111yescharacteristic
425C22×C4#12111yescharacteristic
426C22×C4#12111yescharacteristic
427C22×C4#12111yescharacteristic
428C22×C4#12111yescharacteristic
429C22×C4#12111yescharacteristic
430C22×C4C22⋊Q812yes—
431C22×C4C22⋊Q812yes—
432C22×C4C22⋊Q812yes—
433C22×C4C22⋊Q812yes—
434C22×C4C22⋊Q812yes—
435C22×C4C22⋊Q812yes—
436C22×C4C22⋊Q812yes—
437C22×C4C22⋊Q812yes—
438C22×C4C22⋊Q812yes—
439C22×C4C22⋊Q812yes—
440C22×C4#12312yes—
441C22×C4#12312yes—
442C22×C4#12311yescharacteristic
443C22×C4#12311yescharacteristic
444C22×C4#12311yescharacteristic
445C22×C4#12311yescharacteristic
446C22×C4#12312yes—
447C22×C4#12312yes—
448C22×C4#12312yes—
449C22×C4#12312yes—
450C22×C4#12311yescharacteristic
451C22×C4#12311yescharacteristic
452C22×C4#12412yes—
453C22×C4#12412yes—
454C22×C4#12412yes—
455C22×C4#12412yes—
456C22×C4#12412yes—
457C22×C4#12412yes—
458C22×C4#12411yescharacteristic
459C22×C4#12411yescharacteristic
460C22×C4#12512yes—
461C22×C4#12512yes—
462C22×C4#12512yes—
463C22×C4#12512yes—
464C22×C4#12512yes—
465C22×C4#12512yes—
466C22×C4#12512yes—
467C22×C4#12512yes—
468C22×C4#12612yes—
469C22×C4#12612yes—
470C22×C4#12612yes—
471C22×C4#12612yes—
472C22×C4#12612yes—
473C22×C4#12612yes—
474C22×C4#12612yes—
475C22×C4C4⋊Q812yes—
476C22×C4C4⋊Q812yes—
477C22×C4C23×C411yescharacteristic
478C22×C4C22×D411yescharacteristic
479C22×C4C22×D411yescharacteristic
480C22×C4C22×D411yescharacteristic
481C22×C4C22×D411yescharacteristic
482C22×C4C22×Q811yescharacteristic
483C22×C4C22×Q811yescharacteristic
484C22×C4C2×#4111yescharacteristic
485C22×C4C2×#4111yescharacteristic
486C22×C4C2×#4111yescharacteristic
487C22×C4C2×#4111yescharacteristic
488C22×C4C2×#4111yescharacteristic
489C22×C4C2×#4111yescharacteristic
490C22×C4C2×#4111yescharacteristic
491M16—24no—
492M16—24no—
493M16—24no—
494M16—28no—
495M16—28no—
496M16—24no—
497M16—24no—
498M16—24no—
499M16—24no—
500M16—24no—
501M16—24no—
502M16—42no—
503M16—42no—
504M16—42no—
505M16—42no—
506M16—42no—
507M16—42no—
508M16—44no—
509M16—44no—
510M16—44no—
511M16—44no—
512M16—44no—
513M16—44no—
514M16C2×C4⋊C418yes—
515C2×C8—24no—
516C2×C8—24no—
517C2×C8—24no—
518C2×C8—28no—
519C2×C8—28no—
520C2×C8—24no—
521C2×C8—24no—
522C2×C8—24no—
523C2×C8—42no—
524C2×C8—42no—
525C2×C8—42no—
526C2×C8—42no—
527C2×C8—42no—
528C2×C8—42no—
529C2×C8—44no—
530C2×C8—44no—
531C2×C8—44no—
532C2×C8—44no—
533C2×C8—44no—
534C2×C8—44no—
535C4⋊C4—24no—
536C4⋊C4—22no—
537C4⋊C4—24no—
538C4⋊C4—22no—
539C4⋊C4—22no—
540C4⋊C4—22no—
541C4⋊C4—24no—
542C4⋊C4—42no—
543C4⋊C4—42no—
544C4⋊C4—42no—
545C4⋊C4—44no—
546C4⋊C4—42no—
547C4⋊C4—42no—
548C4⋊C4—42no—
549C4⋊C4—42no—
550C4⋊C4—41no—
551C4⋊C4—41no—
552C4⋊C4—41no—
553C4⋊C4—41no—
554C22⋊C4—24no—
555C22⋊C4—42no—
556C22⋊C4—42no—
557C22⋊C4—42no—
558C22⋊C4—44no—
559C22⋊C4—42no—
560C22⋊C4—42no—
561C42—24no—
562C42—42no—
563C42—42no—
564C42—42no—
565C42—44no—
566C42—42no—
567C42—42no—
568C23—22no—
569C23—22no—
570C23—22no—
571C23—22no—
572C23—22no—
573C23—22no—
574C23—41no—
575C23—41no—
576C23—41no—
577C23—41no—
578C23—44no—
579C23—41no—
580C23—41no—
581C23—41no—
582C23—44no—
583C23—44no—
584C23—44no—
585C23—41no—
586C23#38212yes—
587C23#38212yes—
588C23#38712yes—
589C23#38712yes—
590C23#38812yes—
591C23#38812yes—
592C23#39411yescharacteristic
593C23#39411yescharacteristic
594C23#39411yescharacteristic
595C23#39411yescharacteristic
596C23#39812yes—
597C23#39812yes—
598C23#40012yes—
599C23#40012yes—
600C23#40012yes—
601C23#40012yes—
602C23C2×#11711yescharacteristic
603C23C2×#12111yescharacteristic
604C23C2×#12311yescharacteristic
605C23C2×#12411yescharacteristic
606C23C2×#12511yescharacteristic
607C23C2×#12511yescharacteristic
608C23C2×#12611yescharacteristic
609C2×C4—42no—
610C2×C4—42no—
611C2×C4—44no—
612C2×C4—44no—
613C2×C4—88no—
614C2×C4—82no—
615C2×C4—82no—
616C2×C4—82no—
617C2×C4—82no—
618C2×C4—84no—
619C2×C4—84no—
620C2×C4—84no—
621C2×C4—84no—
622C2×C4—84no—
623C2×C4—82no—
624C2×C4—84no—
625C2×C4—82no—
626C2×C4—82no—
627C2×C4—82no—
628C2×C4—84no—
629C2×C4#38212yes—
630C2×C4#38212yes—
631C2×C4#38512yes—
632C2×C4#38512yes—
633C2×C4#38512yes—
634C2×C4#38512yes—
635C2×C4#38712yes—
636C2×C4#38712yes—
637C2×C4#38712yes—
638C2×C4#38712yes—
639C2×C4#38712yes—
640C2×C4#38712yes—
641C2×C4#38812yes—
642C2×C4#38812yes—
643C2×C4#38812yes—
644C2×C4#38812yes—
645C2×C4#38812yes—
646C2×C4#38812yes—
647C2×C4#38912yes—
648C2×C4#38912yes—
649C2×C4#38912yes—
650C2×C4#38912yes—
651C2×C4#39312yes—
652C2×C4#39312yes—
653C2×C4#39312yes—
654C2×C4#39312yes—
655C2×C4#39411yescharacteristic
656C2×C4#39411yescharacteristic
657C2×C4#39411yescharacteristic
658C2×C4#39411yescharacteristic
659C2×C4#39712yes—
660C2×C4#39712yes—
661C2×C4#39712yes—
662C2×C4#39712yes—
663C2×C4#39812yes—
664C2×C4#39812yes—
665C2×C4#39812yes—
666C2×C4#39812yes—
667C2×C4#39812yes—
668C2×C4#39812yes—
669C2×C4#40012yes—
670C2×C4#40012yes—
671C2×C4#40012yes—
672C2×C4#40012yes—
673C2×C4#40012yes—
674C2×C4#40012yes—
675C2×C4#40012yes—
676C2×C4#40012yes—
677C2×C4C22×C4⋊C411yescharacteristic
678C2×C4C2×#11711yescharacteristic
679C2×C4C2×C4×D411yescharacteristic
680C2×C4C2×C4×D411yescharacteristic
681C2×C4C2×C4×D411yescharacteristic
682C2×C4C2×C4×Q811yescharacteristic
683C2×C4C2×#12011yescharacteristic
684C2×C4C2×#12111yescharacteristic
685C2×C4C2×#12111yescharacteristic
686C2×C4C2×C22⋊Q811yescharacteristic
687C2×C4C2×C22⋊Q811yescharacteristic
688C2×C4C2×C22⋊Q811yescharacteristic
689C2×C4C2×C22⋊Q811yescharacteristic
690C2×C4C2×C22⋊Q811yescharacteristic
691C2×C4C2×#12311yescharacteristic
692C2×C4C2×#12311yescharacteristic
693C2×C4C2×#12311yescharacteristic
694C2×C4C2×#12311yescharacteristic
695C2×C4C2×#12411yescharacteristic
696C2×C4C2×#12411yescharacteristic
697C2×C4C2×#12411yescharacteristic
698C2×C4C2×#12511yescharacteristic
699C2×C4C2×#12511yescharacteristic
700C2×C4C2×#12511yescharacteristic
701C2×C4C2×#12611yescharacteristic
702C2×C4C2×#12611yescharacteristic
703C2×C4C2×#12611yescharacteristic
704C2×C4C2×C4⋊Q811yescharacteristic
705C8—28no—
706C8—44no—
707C8—44no—
708C8—44no—
709C22—24no—
710C22—24no—
711C22—24no—
712C22—24no—
713C22—24no—
714C22—24no—
715C22—21no—
716C22—21no—
717C22—21no—
718C22—21no—
719C22—21no—
720C22—21no—
721C22—21no—
722C22—21no—
723C22—21no—
724C22—21no—
725C22—21no—
726C22—21no—
727C22—41no—
728C22—41no—
729C22—41no—
730C22—41no—
731C22—42no—
732C22—42no—
733C22—42no—
734C22—42no—
735C22—42no—
736C22—42no—
737C22#144212yes—
738C22#144212yes—
739C22#144212yes—
740C22#144212yes—
741C22#204812yes—
742C22#204912yes—
743C22C2×#38211yescharacteristic
744C22C2×#38711yescharacteristic
745C22C2×#38811yescharacteristic
746C22C2×#39411yescharacteristic
747C22C2×#39811yescharacteristic
748C22C2×#40011yescharacteristic
749C22C2×#40011yescharacteristic
750C4—84no—
751C4—82no—
752C4—84no—
753C4—82no—
754C4#144212yes—
755C4#144212yes—
756C4#144212yes—
757C4#144212yes—
758C4C2×#38511yescharacteristic
759C4C2×#38711yescharacteristic
760C4C2×#38811yescharacteristic
761C4C2×#38911yescharacteristic
762C4C2×#39311yescharacteristic
763C4C2×#39711yescharacteristic
764C4C2×#39811yescharacteristic
765C4C2×#40011yescharacteristic
766C2—21no—
767C2—21no—
768C2—21no—
769C2—21no—
770C2—22no—
771C2—22no—
772C2—22no—
773C2—21no—
774C2—21no—
775C2#1127414yesdirect product factor
776C2C2×#144211yescharacteristic
777C2C2×#204811yescharacteristic
778C2C2×#204911yescharacteristic
subgroupG/H
center, socleC23#394
commutatorC22×C4C23×C4
Frattini, cosocleC23×C4C24
prime radicalC25#41
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ C24×C4 ◁ G
LECSG ▷ C23×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
8. #11274C2direct (N × H)
24. C2×#344C4semidirect
139. #344C2×C4semidirect
775. C2#11274direct (N × H)

Maximal subgroups

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

subgroupindex
C22×#4282
C22×#3442
C2×#17422
C22×#3432
C2×#17382
C2×#17362
C2×#17332
#112742