Finite Group Databasebeta

← C2×#28589 #6459549

Subgroups — C2×#28589 #6459549

Order 512.

2578 conjugacy classes of subgroups.

The subgroup lattice has 770 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#470C211yesmaximal, characteristic, complemented
2C22×#465C211yesmaximal, characteristic
3C2×#2620C211yesmaximal, characteristic
4C2×#2323C211yesmaximal, characteristic, complemented
5#28589C2116yesmaximal, direct product factor
6C2×#2084C211yesmaximal, characteristic, complemented
7C2×#2072C211yesmaximal, characteristic, complemented
8C2×#2042C211yesmaximal, characteristic, complemented
9C2×#2015C211yesmaximal, characteristic, complemented
10C2×#1926C211yesmaximal, characteristic, complemented
11C2×#1927C211yesmaximal, characteristic, complemented
12C2×#1895C211yesmaximal, characteristic
13C2×#1892C211yesmaximal, characteristic, complemented
14C2×#1880C211yesmaximal, characteristic, complemented
15C2×#1878C211yesmaximal, characteristic, complemented
16C2×#1729C211yesmaximal, characteristic, complemented
17C23×Q16C2211yescharacteristic
18C23×SD16C2211yescharacteristic
19C23×M16C2211yescharacteristic
20C24×C8C2211yescharacteristic
21C22×#124C2211yescharacteristic
22C22×C22⋊Q8C2211yescharacteristic
23C22×C22⋊Q8C2211yescharacteristic
24C22×#121C2211yescharacteristic
25C22×C4×Q8C2211yescharacteristic
26C22×#117C2211yescharacteristic
27C2×#470—28no—
28C2×#470C2218yescomplemented
29C2×#465—28no—
30C2×#465C2218yes—
31C22×#106C2211yescharacteristic
32C22×#106C2211yescharacteristic
33C22×#103C2211yescharacteristic
34C22×#103C2211yescharacteristic
35C22×#103C2211yescharacteristic
36C22×#103C2211yescharacteristic
37C22×#103C2211yescharacteristic
38C22×#102C2211yescharacteristic
39C22×#102C2211yescharacteristic
40C22×#102C2211yescharacteristic
41#2620—24no—
42#2620C2218yes—
43C2×#396—21no—
44C2×#396—21no—
45C2×#394—21no—
46C2×#394—21no—
47#2323—24no—
48#2323C2218yescomplemented
49C2×#391C2211yescharacteristic
50C2×#391C2211yescharacteristic
51C2×#390C2211yescharacteristic
52C2×#389—21no—
53C2×#389C2211yescharacteristic
54C2×#388—21no—
55C2×#388—21no—
56C2×#387—21no—
57C2×#384C2211yescharacteristic
58C2×#380C2211yescharacteristic
59C2×C4×C4⋊C4C2211yescharacteristic
60#2084C2218yescomplemented
61#2072C2218yescomplemented
62#2042C2218yescomplemented
63#2015C2218yescomplemented
64#1927C2218yescomplemented
65#1926C2218yescomplemented
66#1895C2218yes—
67#1892C2218yescomplemented
68#1880C2218yescomplemented
69#1878C2218yescomplemented
70C2×#340C2211yescharacteristic
71C2×#340C2211yescharacteristic
72C2×#340C2211yescharacteristic
73C2×#340C2211yescharacteristic
74#1729C2218yescomplemented
75C2×#336C2211yescharacteristic
76C2×#336C2211yescharacteristic
77C2×#336C2211yescharacteristic
78C2×#336C2211yescharacteristic
79C23×Q8C2311yescharacteristic
80C23×Q8C2311yescharacteristic
81C23×D4—21no—
82C23×D4C2311yescharacteristic
83C24×C4C2311yescharacteristic
84C22×Q16—24no—
85C22×Q16—24no—
86C22×Q16—42no—
87C22×Q16C2314yes—
88C22×SD16—24no—
89C22×SD16—24no—
90C22×SD16—42no—
91C22×SD16C2314yes—
92C22×M16—24no—
93C22×M16—24no—
94C22×M16—42no—
95C22×M16C2314yes—
96C23×C8—24no—
97C23×C8—24no—
98C23×C8—42no—
99C23×C8C2311yescharacteristic
100C23×C8C2311yescharacteristic
101C23×C8C2314yes—
102C23×C8C2311yescharacteristic
103C23×C8C2311yescharacteristic
104C2×#124—22no—
105C2×#124—42no—
106C2×#124—42no—
107C2×#124C2314yes—
108C2×C22⋊Q8—22no—
109C2×C22⋊Q8—24no—
110C2×C22⋊Q8—22no—
111C2×C22⋊Q8—24no—
112C2×C22⋊Q8—24no—
113C2×C22⋊Q8D418yes—
114C2×C22⋊Q8C2314yes—
115C2×C22⋊Q8C2314yes—
116C2×#121—22no—
117C2×#121—24no—
118C2×#121—24no—
119C2×#121C2314yes—
120C2×C4×Q8—22no—
121C2×C4×Q8—42no—
122C2×C4×Q8—42no—
123C2×C4×Q8C2314yes—
124C2×#117—42no—
125C2×#117—42no—
126C2×#117D414yes—
127C2×#117C2314yes—
128C22×C4⋊C4—21no—
129C22×C4⋊C4—21no—
130C22×C4⋊C4—21no—
131C22×C4⋊C4—21no—
132C22×C4⋊C4—21no—
133C22×C4⋊C4—21no—
134C22×C4⋊C4D411yescharacteristic
135C22×C4⋊C4D411yescharacteristic
136C22×C4⋊C4C2311yescharacteristic
137C22×C4⋊C4C2311yescharacteristic
138C22×C4⋊C4C2311yescharacteristic
139C22×C4⋊C4C2311yescharacteristic
140C22×C4⋊C4C2311yescharacteristic
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⋊C4—21no—
148C22×C22⋊C4—21no—
149C22×C22⋊C4D411yescharacteristic
150C22×C22⋊C4D411yescharacteristic
151C22×C42—21no—
152C22×C42—21no—
153C22×C42C2311yescharacteristic
154C22×C42C2311yescharacteristic
155#470—232no—
156#465—232no—
157C2×#106—24no—
158C2×#106—24no—
159C2×#106C2314yes—
160C2×#106C2314yes—
161C2×#103—24no—
162C2×#103—24no—
163C2×#103—24no—
164C2×#103—24no—
165C2×#103—42no—
166C2×#103C2314yes—
167C2×#103C2314yes—
168C2×#103C2314yes—
169C2×#103C2314yes—
170C2×#103C2314yes—
171C2×#102—24no—
172C2×#102—24no—
173C2×#102—42no—
174C2×#102C2314yes—
175C2×#102C2314yes—
176C2×#102C2314yes—
177#396—28no—
178#396—28no—
179#394—28no—
180#394—28no—
181#391—22no—
182#391—22no—
183#391C2314yes—
184#391C2314yes—
185#390—22no—
186#390C2314yes—
187#389—28no—
188#389—22no—
189#389C2314yes—
190#388—28no—
191#388—28no—
192#387—28no—
193#384—22no—
194#384C2314yes—
195#380—22no—
196#380C2314yes—
197C4×C4⋊C4—22no—
198C4×C4⋊C4C2314yes—
199C2×#95—21no—
200C2×#95—21no—
201C2×#95—21no—
202C2×#95—21no—
203C2×#95—21no—
204C2×#95—21no—
205C2×#95—21no—
206#340C2314yes—
207#340C2314yes—
208#340C2314yes—
209#340C2314yes—
210#336C2314yes—
211#336C2314yes—
212#336C2314yes—
213#336C2314yes—
214C25—21no—
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×Q8C2×D414yes—
230C22×Q8C2412yes—
231C22×Q8C2412yes—
232C22×D4—24no—
233C22×D4—22no—
234C22×D4—21no—
235C22×D4—22no—
236C22×D4—22no—
237C22×D4—22no—
238C22×D4—22no—
239C22×D4—22no—
240C22×D4—44no—
241C22×D4—82no—
242C22×D4—82no—
243C22×D4C2412yes—
244C23×C4—22no—
245C23×C4—22no—
246C23×C4—22no—
247C23×C4—22no—
248C23×C4—21no—
249C23×C4—21no—
250C23×C4—21no—
251C23×C4—21no—
252C23×C4—21no—
253C23×C4—21no—
254C23×C4—21no—
255C23×C4C2×D411yescharacteristic
256C23×C4C2×D411yescharacteristic
257C23×C4C2×D411yescharacteristic
258C23×C4C2×D411yescharacteristic
259C23×C4C2×D412yes—
260C23×C4C2×D411yescharacteristic
261C23×C4C2×D414yes—
262C23×C4#4114yes—
263C23×C4C2412yes—
264C23×C4C2411yescharacteristic
265C2×Q16—28no—
266C2×Q16—28no—
267C2×Q16—44no—
268C2×Q16—416no—
269C2×SD16—28no—
270C2×SD16—28no—
271C2×SD16—44no—
272C2×SD16—416no—
273C2×M16—28no—
274C2×M16—28no—
275C2×M16—44no—
276C2×M16—416no—
277C22×C8—22no—
278C22×C8—22no—
279C22×C8—22no—
280C22×C8—22no—
281C22×C8—22no—
282C22×C8—28no—
283C22×C8—22no—
284C22×C8—22no—
285C22×C8—22no—
286C22×C8—22no—
287C22×C8—22no—
288C22×C8—28no—
289C22×C8—44no—
290C22×C8—416no—
291C22×C8#4114yes—
292C22×C8#4114yes—
293C22×C8C2412yes—
294C22×C8C2412yes—
295C22×C8C2412yes—
296C22×C8C2412yes—
297#124—44no—
298#124—44no—
299#124—48no—
300C22⋊Q8—216no—
301C22⋊Q8—28no—
302C22⋊Q8—28no—
303C22⋊Q8—28no—
304C22⋊Q8—48no—
305C22⋊Q8C2×D4116yes—
306#121—28no—
307#121—28no—
308#121—48no—
309C4×Q8—44no—
310C4×Q8—44no—
311C4×Q8—48no—
312#117—48no—
313#117—44no—
314#117—44no—
315C2×C4⋊C4—28no—
316C2×C4⋊C4—24no—
317C2×C4⋊C4—21no—
318C2×C4⋊C4—22no—
319C2×C4⋊C4—22no—
320C2×C4⋊C4—22no—
321C2×C4⋊C4—22no—
322C2×C4⋊C4—22no—
323C2×C4⋊C4—22no—
324C2×C4⋊C4—22no—
325C2×C4⋊C4—22no—
326C2×C4⋊C4—22no—
327C2×C4⋊C4—24no—
328C2×C4⋊C4—24no—
329C2×C4⋊C4—21no—
330C2×C4⋊C4—21no—
331C2×C4⋊C4—21no—
332C2×C4⋊C4—21no—
333C2×C4⋊C4—24no—
334C2×C4⋊C4—24no—
335C2×C4⋊C4—24no—
336C2×C4⋊C4—42no—
337C2×C4⋊C4—42no—
338C2×C4⋊C4—44no—
339C2×C4⋊C4—44no—
340C2×C4⋊C4—82no—
341C2×C4⋊C4—82no—
342C2×C4⋊C4—82no—
343C2×C4⋊C4C2×D414yes—
344C2×C4⋊C4C2×D414yes—
345C2×C4⋊C4C2×D414yes—
346C2×C4⋊C4C2412yes—
347C2×C4⋊C4C2412yes—
348C2×C4⋊C4C2412yes—
349C2×C4⋊C4C2412yes—
350C2×C4⋊C4C2412yes—
351C2×C22⋊C4—28no—
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—42no—
361C2×C22⋊C4—42no—
362C2×C22⋊C4—44no—
363C2×C22⋊C4—44no—
364C2×C22⋊C4—44no—
365C2×C22⋊C4—44no—
366C2×C22⋊C4—82no—
367C2×C22⋊C4—82no—
368C2×C22⋊C4—82no—
369C2×C22⋊C4C2×D414yes—
370C2×C22⋊C4C2×D414yes—
371C2×C42—22no—
372C2×C42—22no—
373C2×C42—22no—
374C2×C42—22no—
375C2×C42—24no—
376C2×C42—24no—
377C2×C42—44no—
378C2×C42—82no—
379C2×C42C2×D412yes—
380C2×C42C2×D412yes—
381C2×C42C2412yes—
382C2×C42C2412yes—
383#106—28no—
384#106—28no—
385#103—28no—
386#103—28no—
387#103—28no—
388#103—28no—
389#103—44no—
390#102—28no—
391#102—28no—
392#102—44no—
393#95—24no—
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—42no—
408C24—42no—
409C24—42no—
410C24—42no—
411C24—42no—
412C24—42no—
413C24—42no—
414C24#12114yes—
415C24C22×D412yes—
416C24C22×D411yescharacteristic
417C2×Q8—24no—
418C2×Q8—22no—
419C2×Q8—28no—
420C2×Q8—28no—
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—22no—
430C2×Q8—22no—
431C2×Q8—42no—
432C2×Q8—42no—
433C2×Q8—42no—
434C2×Q8—42no—
435C2×Q8—42no—
436C2×Q8—44no—
437C2×Q8—44no—
438C2×Q8—44no—
439C2×Q8—44no—
440C2×Q8—44no—
441C2×Q8—44no—
442C2×Q8C22×D414yes—
443C2×D4—22no—
444C2×D4—22no—
445C2×D4—22no—
446C2×D4—22no—
447C2×D4—22no—
448C2×D4—22no—
449C2×D4—48no—
450C2×D4—42no—
451C2×D4—42no—
452C2×D4—42no—
453C2×D4—44no—
454C2×D4—44no—
455C2×D4—44no—
456C2×D4—44no—
457C2×D4—84no—
458C2×D4—84no—
459C2×D4—816no—
460C22×C4—22no—
461C22×C4—22no—
462C22×C4—24no—
463C22×C4—24no—
464C22×C4—28no—
465C22×C4—28no—
466C22×C4—28no—
467C22×C4—28no—
468C22×C4—22no—
469C22×C4—22no—
470C22×C4—22no—
471C22×C4—22no—
472C22×C4—24no—
473C22×C4—24no—
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—22no—
486C22×C4—22no—
487C22×C4—22no—
488C22×C4—22no—
489C22×C4—22no—
490C22×C4—22no—
491C22×C4—22no—
492C22×C4—22no—
493C22×C4—42no—
494C22×C4—42no—
495C22×C4—42no—
496C22×C4—42no—
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#12114yes—
513C22×C4#12118yes—
514C22×C4C22×D412yes—
515C22×C4C22×D412yes—
516C22×C4C22×D412yes—
517C22×C4C22×D412yes—
518C22×C4C22×D412yes—
519C22×C4C22×D414yes—
520C22×C4C22×D411yescharacteristic
521C22×C4C22×D412yes—
522C22×C4C2×#4114yes—
523C22×C4C2×#4112yes—
524C22×C4C2×#4112yes—
525C22×C4C2×#4112yes—
526C22×C4H(5,𝔽2)12yes—
527C22×C4H(5,𝔽2)12yes—
528C22×C4C2511yescharacteristic
529Q16—416no—
530SD16—416no—
531M16—416no—
532C2×C8—28no—
533C2×C8—28no—
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—22no—
543C2×C8—22no—
544C2×C8—416no—
545C2×C8—44no—
546C2×C8—44no—
547C2×C8C2×#4114yes—
548C2×C8C2×#4114yes—
549C4⋊C4—216no—
550C4⋊C4—24no—
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—44no—
561C4⋊C4—44no—
562C4⋊C4—48no—
563C4⋊C4—42no—
564C4⋊C4—42no—
565C4⋊C4—48no—
566C4⋊C4—42no—
567C4⋊C4—42no—
568C4⋊C4—84no—
569C4⋊C4—84no—
570C4⋊C4—84no—
571C4⋊C4C22×D414yes—
572C22⋊C4—216no—
573C22⋊C4—44no—
574C22⋊C4—44no—
575C22⋊C4—48no—
576C22⋊C4—48no—
577C22⋊C4—48no—
578C22⋊C4—48no—
579C22⋊C4—84no—
580C22⋊C4—84no—
581C22⋊C4—84no—
582C42—24no—
583C42—24no—
584C42—22no—
585C42—22no—
586C42—22no—
587C42—22no—
588C42—48no—
589C42—84no—
590C23—22no—
591C23—22no—
592C23—28no—
593C23—28no—
594C23—28no—
595C23—22no—
596C23—22no—
597C23—22no—
598C23—22no—
599C23—44no—
600C23—44no—
601C23—44no—
602C23—44no—
603C23—42no—
604C23—42no—
605C23—42no—
606C23—42no—
607C23—42no—
608C23—42no—
609C23—42no—
610C23—84no—
611C23—84no—
612C23—84no—
613C23—84no—
614C23—84no—
615C23—84no—
616C23—84no—
617C23C2×#12114yes—
618C23C2×#12112yes—
619C23#53212yes—
620C23#53412yes—
621C23#57712yes—
622C23#57712yes—
623C23#57712yes—
624C23#57812yes—
625C23C23×D411yescharacteristic
626Q8—24no—
627Q8—24no—
628Q8—42no—
629Q8—42no—
630Q8—48no—
631Q8—42no—
632Q8—42no—
633Q8—42no—
634Q8—42no—
635Q8—84no—
636D4—42no—
637D4—42no—
638D4—42no—
639D4—42no—
640D4—816no—
641D4—84no—
642C2×C4—22no—
643C2×C4—22no—
644C2×C4—28no—
645C2×C4—24no—
646C2×C4—24no—
647C2×C4—24no—
648C2×C4—24no—
649C2×C4—216no—
650C2×C4—24no—
651C2×C4—24no—
652C2×C4—22no—
653C2×C4—22no—
654C2×C4—22no—
655C2×C4—22no—
656C2×C4—22no—
657C2×C4—22no—
658C2×C4—22no—
659C2×C4—22no—
660C2×C4—22no—
661C2×C4—22no—
662C2×C4—22no—
663C2×C4—22no—
664C2×C4—42no—
665C2×C4—42no—
666C2×C4—44no—
667C2×C4—44no—
668C2×C4—44no—
669C2×C4—44no—
670C2×C4—48no—
671C2×C4—48no—
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—42no—
687C2×C4—42no—
688C2×C4—42no—
689C2×C4—84no—
690C2×C4—84no—
691C2×C4—84no—
692C2×C4—84no—
693C2×C4—84no—
694C2×C4C2×#12114yes—
695C2×C4C2×#12112yes—
696C2×C4#53212yes—
697C2×C4#53412yes—
698C2×C4#54614yes—
699C2×C4#54614yes—
700C2×C4#55314yes—
701C2×C4#55314yes—
702C2×C4C23×D411yescharacteristic
703C2×C4C22×#4111yescharacteristic
704C2×C4C22×#4111yescharacteristic
705C2×C4C22×#4111yescharacteristic
706C2×C4C2×H(5,𝔽2)11yescharacteristic
707C2×C4C2×H(5,𝔽2)11yescharacteristic
708C8—24no—
709C8—24no—
710C8—42no—
711C8—42no—
712C22—24no—
713C22—24no—
714C22—24no—
715C22—42no—
716C22—42no—
717C22—42no—
718C22—42no—
719C22—416no—
720C22—82no—
721C22—82no—
722C22—82no—
723C22—82no—
724C22—82no—
725C22—82no—
726C22—82no—
727C22—168no—
728C22#254314yes—
729C22#304314yes—
730C22#304614yes—
731C22#317314yes—
732C22#317814yes—
733C22#320114yes—
734C22#320414yes—
735C22C22×#12111yescharacteristic
736C22C2×#53211yescharacteristic
737C22C2×#53411yescharacteristic
738C22C2×#57711yescharacteristic
739C22C2×#57711yescharacteristic
740C22C2×#57711yescharacteristic
741C22C2×#57811yescharacteristic
742C4—24no—
743C4—44no—
744C4—44no—
745C4—42no—
746C4—42no—
747C4—42no—
748C4—42no—
749C4—82no—
750C4—82no—
751C4—82no—
752C4—82no—
753C4—82no—
754C4#254314yes—
755C4C2×#54611yescharacteristic
756C4C2×#54611yescharacteristic
757C4C2×#55311yescharacteristic
758C4C2×#55311yescharacteristic
759C2—44no—
760C2—162no—
761C2#2858918yesdirect product factor
762C2C2×#254311yescharacteristic
763C2C2×#304311yescharacteristic
764C2C2×#304611yescharacteristic
765C2C2×#317311yescharacteristic
766C2C2×#317811yescharacteristic
767C2C2×#320111yescharacteristic
768C2C2×#320411yescharacteristic
subgroupG/H
center, socleC24C22×D4
commutator, Frattini, cosocleC22×C4C25
prime radicalC22×#121C22
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C24 ◁ C22×#117 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C22×#470C2semidirect
4. C2×#2323C2semidirect
5. #28589C2direct (N × H)
6. C2×#2084C2semidirect
7. C2×#2072C2semidirect
8. C2×#2042C2semidirect
9. C2×#2015C2semidirect
10. C2×#1926C2semidirect
11. C2×#1927C2semidirect
13. C2×#1892C2semidirect
14. C2×#1880C2semidirect
15. C2×#1878C2semidirect
16. C2×#1729C2semidirect
28. C2×#470C22semidirect
48. #2323C22semidirect
60. #2084C22semidirect
61. #2072C22semidirect
62. #2042C22semidirect
63. #2015C22semidirect
64. #1927C22semidirect
65. #1926C22semidirect
67. #1892C22semidirect
68. #1880C22semidirect
69. #1878C22semidirect
74. #1729C22semidirect
761. C2#28589direct (N × H)

Maximal subgroups

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

subgroupindex
C22×#4702
C22×#4652
C2×#26202
C2×#23232
#285892
C2×#20842
C2×#20722
C2×#20422
C2×#20152
C2×#19262
C2×#19272
C2×#18952
C2×#18922
C2×#18802
C2×#18782
C2×#17292