Finite Group Databasebeta

← C2×#32046 #7507530

Subgroups — C2×#32046 #7507530

Order 512.

2530 conjugacy classes of subgroups.

The subgroup lattice has 771 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#2491C211yesmaximal, characteristic, complemented
2C2×#2501C211yesmaximal, characteristic, complemented
3#32046C2116yesmaximal, direct product factor
4C2×#2093C211yesmaximal, characteristic, complemented
5C2×#2071C211yesmaximal, characteristic, complemented
6C2×#2054C211yesmaximal, characteristic, complemented
7C2×#2033C211yesmaximal, characteristic, complemented
8C2×#2023C211yesmaximal, characteristic, complemented
9C2×#1999C211yesmaximal, characteristic
10C2×#1990C211yesmaximal, characteristic, complemented
11C2×#1970C211yesmaximal, characteristic, complemented
12C2×#1947C211yesmaximal, characteristic, complemented
13C2×#1925C211yesmaximal, characteristic, complemented
14C2×#1923C211yesmaximal, characteristic, complemented
15C2×#1874C211yesmaximal, characteristic, complemented
16C2×#1852C211yesmaximal, characteristic, complemented
17C23×D8C2211yescharacteristic
18C22×C4⋊Q8C2211yescharacteristic
19C22×#124—21no—
20C22×#123—21no—
21C22×#123—21no—
22C22×#121C2211yescharacteristic
23C22×#121C2211yescharacteristic
24C23×C4⋊C4C2211yescharacteristic
25C22×#107C2211yescharacteristic
26C22×#107C2211yescharacteristic
27C22×#107C2211yescharacteristic
28C22×C4⋊C8C2211yescharacteristic
29C22×#102C2211yescharacteristic
30C22×#102C2211yescharacteristic
31C22×#102C2211yescharacteristic
32C22×#102C2211yescharacteristic
33C22×#102C2211yescharacteristic
34C22×#102C2211yescharacteristic
35C22×C22⋊C8C2211yescharacteristic
36C22×C22⋊C8C2211yescharacteristic
37C22×C4×C8C2211yescharacteristic
38#2501—24no—
39#2501C2218yescomplemented
40#2491—24no—
41#2491C2218yescomplemented
42C2×#399—21no—
43C2×#399—21no—
44C2×#394—21no—
45C2×#393—21no—
46C2×#390C2211yescharacteristic
47C2×#390C2211yescharacteristic
48C2×#390C2211yescharacteristic
49C2×#390C2211yescharacteristic
50C2×#388—21no—
51C2×#384C2211yescharacteristic
52C2×#384C2211yescharacteristic
53C2×#380C2211yescharacteristic
54C2×C4×C4⋊C4C2211yescharacteristic
55C2×C4×C22⋊C4C2211yescharacteristic
56#2093C2218yescomplemented
57#2071C2218yescomplemented
58#2054C2218yescomplemented
59#2033C2218yescomplemented
60#2023C2218yescomplemented
61#1999C2218yes—
62#1990C2218yescomplemented
63#1970C2218yescomplemented
64#1947C2218yescomplemented
65#1925C2218yescomplemented
66#1923C2218yescomplemented
67#1874C2218yescomplemented
68#1852C2218yescomplemented
69C2×#340C2211yescharacteristic
70C2×#340C2211yescharacteristic
71C2×#340C2211yescharacteristic
72C2×#340C2211yescharacteristic
73C2×#340C2211yescharacteristic
74C2×#340C2211yescharacteristic
75C2×#336C2211yescharacteristic
76C2×#336C2211yescharacteristic
77C23×Q8—21no—
78C23×D4—21no—
79C23×D4—21no—
80C23×D4C2311yescharacteristic
81C23×D4C2311yescharacteristic
82C24×C4—21no—
83C24×C4C2311yescharacteristic
84C22×D8—24no—
85C22×D8—42no—
86C22×D8—42no—
87C22×D8C2314yes—
88C23×C8C2311yescharacteristic
89C23×C8C2311yescharacteristic
90C23×C8C2311yescharacteristic
91C23×C8C2311yescharacteristic
92C2×C4⋊Q8—24no—
93C2×C4⋊Q8—22no—
94C2×C4⋊Q8—42no—
95C2×C4⋊Q8C2314yes—
96C2×#124—28no—
97C2×#124—48no—
98C2×#123—28no—
99C2×#123—28no—
100C2×#123—48no—
101C2×#123—48no—
102C2×#121—22no—
103C2×#121—22no—
104C2×#121—24no—
105C2×#121—42no—
106C2×#121—42no—
107C2×#121—42no—
108C2×#121C2314yes—
109C2×#121C2314yes—
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—22no—
117C22×C4⋊C4—42no—
118C22×C4⋊C4—42no—
119C22×C4⋊C4C2311yescharacteristic
120C22×C4⋊C4C2311yescharacteristic
121C22×C4⋊C4C2311yescharacteristic
122C22×C4⋊C4C2311yescharacteristic
123C22×C4⋊C4C2311yescharacteristic
124C22×C4⋊C4C2311yescharacteristic
125C22×C4⋊C4C2314yes—
126C22×C22⋊C4—21no—
127C22×C22⋊C4—21no—
128C22×C22⋊C4—21no—
129C22×C22⋊C4—21no—
130C22×C22⋊C4—21no—
131C22×C22⋊C4—21no—
132C22×C22⋊C4—21no—
133C22×C22⋊C4—21no—
134C22×C22⋊C4—21no—
135C22×C22⋊C4—21no—
136C22×C22⋊C4—21no—
137C22×C22⋊C4D411yescharacteristic
138C22×C22⋊C4D411yescharacteristic
139C22×C42—21no—
140C22×C42C2311yescharacteristic
141C22×C42C2311yescharacteristic
142C2×#107—42no—
143C2×#107—42no—
144C2×#107—42no—
145C2×#107C2314yes—
146C2×#107C2314yes—
147C2×#107C2314yes—
148C2×C4⋊C8—24no—
149C2×C4⋊C8C2314yes—
150C2×#102—24no—
151C2×#102—42no—
152C2×#102—42no—
153C2×#102—42no—
154C2×#102—42no—
155C2×#102—42no—
156C2×#102C2314yes—
157C2×#102C2314yes—
158C2×#102C2314yes—
159C2×#102C2314yes—
160C2×#102C2314yes—
161C2×#102C2314yes—
162C2×C22⋊C8—24no—
163C2×C22⋊C8—42no—
164C2×C22⋊C8C2314yes—
165C2×C22⋊C8C2314yes—
166C2×C4×C8—42no—
167C2×C4×C8C2314yes—
168#399—28no—
169#399—28no—
170#394—28no—
171#393—28no—
172#390—22no—
173#390—22no—
174#390—22no—
175#390—22no—
176#390C2314yes—
177#390C2314yes—
178#390C2314yes—
179#390C2314yes—
180#388—28no—
181#384—22no—
182#384—22no—
183#384C2314yes—
184#384C2314yes—
185#380—22no—
186#380C2314yes—
187C4×C4⋊C4—22no—
188C4×C4⋊C4C2314yes—
189C4×C22⋊C4D414yes—
190C4×C22⋊C4C2314yes—
191C2×#95—21no—
192C2×#95—21no—
193C2×#95D411yescharacteristic
194C2×#95D411yescharacteristic
195#340C2314yes—
196#340C2314yes—
197#340C2314yes—
198#340C2314yes—
199#340C2314yes—
200#340C2314yes—
201#336C2314yes—
202#336C2314yes—
203C25—21no—
204C25—21no—
205C25C2×D411yescharacteristic
206C22×Q8—24no—
207C22×Q8—44no—
208C22×Q8—44no—
209C22×Q8—82no—
210C22×D4—24no—
211C22×D4—24no—
212C22×D4—21no—
213C22×D4—21no—
214C22×D4—22no—
215C22×D4—22no—
216C22×D4—22no—
217C22×D4—22no—
218C22×D4—22no—
219C22×D4—22no—
220C22×D4—22no—
221C22×D4—22no—
222C22×D4—22no—
223C22×D4—22no—
224C22×D4—22no—
225C22×D4—22no—
226C22×D4—44no—
227C22×D4—44no—
228C22×D4—44no—
229C22×D4—44no—
230C22×D4—44no—
231C22×D4—82no—
232C22×D4C2412yes—
233C22×D4C2412yes—
234C23×C4—21no—
235C23×C4—22no—
236C23×C4—22no—
237C23×C4—22no—
238C23×C4—22no—
239C23×C4—22no—
240C23×C4—22no—
241C23×C4—24no—
242C23×C4—21no—
243C23×C4—21no—
244C23×C4—21no—
245C23×C4—21no—
246C23×C4—21no—
247C23×C4—44no—
248C23×C4—44no—
249C23×C4—44no—
250C23×C4C2×D412yes—
251C23×C4C2×D411yescharacteristic
252C23×C4C2×D411yescharacteristic
253C23×C4C2×D411yescharacteristic
254C23×C4C2×D411yescharacteristic
255C23×C4C2×D411yescharacteristic
256C23×C4C2412yes—
257C23×C4C2411yescharacteristic
258C2×D8—28no—
259C2×D8—44no—
260C2×D8—44no—
261C2×D8—416no—
262C22×C8—22no—
263C22×C8—22no—
264C22×C8—22no—
265C22×C8—22no—
266C22×C8—22no—
267C22×C8—22no—
268C22×C8—22no—
269C22×C8—22no—
270C22×C8—22no—
271C22×C8—22no—
272C22×C8—22no—
273C22×C8#4114yes—
274C22×C8C2412yes—
275C22×C8C2412yes—
276C22×C8C2412yes—
277C22×C8C2412yes—
278C4⋊Q8—28no—
279C4⋊Q8—44no—
280C4⋊Q8—48no—
281#124—432no—
282#123—432no—
283#123—432no—
284#121—28no—
285#121—44no—
286#121—44no—
287#121—44no—
288#121—48no—
289#121—48no—
290C2×C4⋊C4—21no—
291C2×C4⋊C4—22no—
292C2×C4⋊C4—22no—
293C2×C4⋊C4—22no—
294C2×C4⋊C4—22no—
295C2×C4⋊C4—22no—
296C2×C4⋊C4—22no—
297C2×C4⋊C4—22no—
298C2×C4⋊C4—22no—
299C2×C4⋊C4—22no—
300C2×C4⋊C4—22no—
301C2×C4⋊C4—22no—
302C2×C4⋊C4—21no—
303C2×C4⋊C4—21no—
304C2×C4⋊C4—24no—
305C2×C4⋊C4—24no—
306C2×C4⋊C4—24no—
307C2×C4⋊C4—24no—
308C2×C4⋊C4—24no—
309C2×C4⋊C4—24no—
310C2×C4⋊C4—21no—
311C2×C4⋊C4—21no—
312C2×C4⋊C4—21no—
313C2×C4⋊C4—44no—
314C2×C4⋊C4—44no—
315C2×C4⋊C4—44no—
316C2×C4⋊C4—44no—
317C2×C4⋊C4—48no—
318C2×C4⋊C4—44no—
319C2×C4⋊C4—44no—
320C2×C4⋊C4—44no—
321C2×C4⋊C4—44no—
322C2×C4⋊C4#4114yes—
323C2×C4⋊C4C2412yes—
324C2×C4⋊C4C2412yes—
325C2×C4⋊C4C2412yes—
326C2×C4⋊C4C2412yes—
327C2×C4⋊C4C2412yes—
328C2×C4⋊C4C2412yes—
329C2×C22⋊C4—24no—
330C2×C22⋊C4—24no—
331C2×C22⋊C4—24no—
332C2×C22⋊C4—24no—
333C2×C22⋊C4—24no—
334C2×C22⋊C4—24no—
335C2×C22⋊C4—24no—
336C2×C22⋊C4—24no—
337C2×C22⋊C4—24no—
338C2×C22⋊C4—24no—
339C2×C22⋊C4—24no—
340C2×C22⋊C4—24no—
341C2×C22⋊C4—44no—
342C2×C22⋊C4—44no—
343C2×C22⋊C4—44no—
344C2×C22⋊C4—44no—
345C2×C22⋊C4—44no—
346C2×C22⋊C4—44no—
347C2×C22⋊C4—44no—
348C2×C22⋊C4—44no—
349C2×C22⋊C4—44no—
350C2×C22⋊C4—44no—
351C2×C22⋊C4—82no—
352C2×C22⋊C4D818yescomplemented
353C2×C22⋊C4C2×D414yes—
354C2×C22⋊C4C2×D414yes—
355C2×C42—22no—
356C2×C42—22no—
357C2×C42—22no—
358C2×C42—22no—
359C2×C42—24no—
360C2×C42—44no—
361C2×C42C2×D412yes—
362C2×C42C2×D412yes—
363C2×C42C2412yes—
364C2×C42C2412yes—
365#107—44no—
366#107—44no—
367#107—44no—
368C4⋊C8—28no—
369#102—28no—
370#102—44no—
371#102—44no—
372#102—44no—
373#102—44no—
374#102—44no—
375C22⋊C8—28no—
376C22⋊C8—44no—
377C4×C8—44no—
378#95—24no—
379#95—24no—
380#95C2×D414yes—
381#95C2×D414yes—
382C24—22no—
383C24—22no—
384C24—22no—
385C24—22no—
386C24—22no—
387C24—22no—
388C24—22no—
389C24—22no—
390C24—42no—
391C24—42no—
392C24—42no—
393C24—42no—
394C24—42no—
395C24—42no—
396C24—42no—
397C24—42no—
398C24—42no—
399C24—42no—
400C24—42no—
401C24—42no—
402C24—42no—
403C24—42no—
404C24C2×D814yes—
405C24C22×D412yes—
406C24C22×D411yescharacteristic
407C2×Q8—48no—
408C2×Q8—48no—
409C2×Q8—84no—
410C2×Q8—816no—
411C2×D4—22no—
412C2×D4—22no—
413C2×D4—22no—
414C2×D4—22no—
415C2×D4—22no—
416C2×D4—22no—
417C2×D4—22no—
418C2×D4—22no—
419C2×D4—22no—
420C2×D4—22no—
421C2×D4—22no—
422C2×D4—22no—
423C2×D4—48no—
424C2×D4—48no—
425C2×D4—48no—
426C2×D4—48no—
427C2×D4—48no—
428C2×D4—42no—
429C2×D4—42no—
430C2×D4—44no—
431C2×D4—44no—
432C2×D4—44no—
433C2×D4—44no—
434C2×D4—42no—
435C2×D4—42no—
436C2×D4—42no—
437C2×D4—42no—
438C2×D4—44no—
439C2×D4—44no—
440C2×D4—44no—
441C2×D4—44no—
442C2×D4—84no—
443C2×D4—816no—
444C2×D4—816no—
445C22×C4—22no—
446C22×C4—22no—
447C22×C4—22no—
448C22×C4—22no—
449C22×C4—22no—
450C22×C4—22no—
451C22×C4—22no—
452C22×C4—22no—
453C22×C4—24no—
454C22×C4—22no—
455C22×C4—22no—
456C22×C4—22no—
457C22×C4—22no—
458C22×C4—22no—
459C22×C4—24no—
460C22×C4—24no—
461C22×C4—24no—
462C22×C4—22no—
463C22×C4—22no—
464C22×C4—22no—
465C22×C4—22no—
466C22×C4—22no—
467C22×C4—22no—
468C22×C4—22no—
469C22×C4—22no—
470C22×C4—22no—
471C22×C4—22no—
472C22×C4—22no—
473C22×C4—42no—
474C22×C4—42no—
475C22×C4—44no—
476C22×C4—44no—
477C22×C4—44no—
478C22×C4—44no—
479C22×C4—48no—
480C22×C4—48no—
481C22×C4—42no—
482C22×C4—42no—
483C22×C4—42no—
484C22×C4—42no—
485C22×C4—42no—
486C22×C4—42no—
487C22×C4—42no—
488C22×C4—42no—
489C22×C4—42no—
490C22×C4—42no—
491C22×C4—48no—
492C22×C4—42no—
493C22×C4—42no—
494C22×C4—42no—
495C22×C4—42no—
496C22×C4—42no—
497C22×C4—816no—
498C22×C4C2×D814yes—
499C22×C4C2×D814yes—
500C22×C4AGL(1,ℤ/8)14yes—
501C22×C4C22×D412yes—
502C22×C4C22×D412yes—
503C22×C4C22×D412yes—
504C22×C4C22×D412yes—
505C22×C4C22×D412yes—
506C22×C4C22×D411yescharacteristic
507C22×C4C2×#4112yes—
508C22×C4C2×#4112yes—
509C22×C4H(5,𝔽2)12yes—
510C22×C4H(5,𝔽2)12yes—
511C22×C4H(5,𝔽2)12yes—
512C22×C42−1+412yes—
513C22×C4C2511yescharacteristic
514D8—416no—
515C2×C8—28no—
516C2×C8—22no—
517C2×C8—22no—
518C2×C8—22no—
519C2×C8—22no—
520C2×C8—22no—
521C2×C8—22no—
522C2×C8—22no—
523C2×C8—22no—
524C2×C8—22no—
525C2×C8—22no—
526C2×C8—22no—
527C2×C8—44no—
528C2×C8—44no—
529C2×C8—44no—
530C2×C8C2×#4114yes—
531C4⋊C4—24no—
532C4⋊C4—22no—
533C4⋊C4—22no—
534C4⋊C4—22no—
535C4⋊C4—22no—
536C4⋊C4—22no—
537C4⋊C4—22no—
538C4⋊C4—22no—
539C4⋊C4—22no—
540C4⋊C4—22no—
541C4⋊C4—22no—
542C4⋊C4—22no—
543C4⋊C4—48no—
544C4⋊C4—48no—
545C4⋊C4—48no—
546C4⋊C4—42no—
547C4⋊C4—42no—
548C4⋊C4—42no—
549C4⋊C4—42no—
550C4⋊C4—42no—
551C4⋊C4—48no—
552C4⋊C4—48no—
553C4⋊C4—48no—
554C4⋊C4C2×#4114yes—
555C22⋊C4—28no—
556C22⋊C4—48no—
557C22⋊C4—48no—
558C22⋊C4—48no—
559C22⋊C4—48no—
560C22⋊C4—48no—
561C22⋊C4—48no—
562C22⋊C4—48no—
563C22⋊C4—48no—
564C22⋊C4—48no—
565C22⋊C4—48no—
566C22⋊C4—84no—
567C22⋊C4C2×D8116yescomplemented
568C42—24no—
569C42—24no—
570C42—22no—
571C42—22no—
572C42—22no—
573C42—22no—
574C42—48no—
575C23—28no—
576C23—22no—
577C23—28no—
578C23—22no—
579C23—22no—
580C23—28no—
581C23—22no—
582C23—22no—
583C23—22no—
584C23—44no—
585C23—44no—
586C23—44no—
587C23—44no—
588C23—42no—
589C23—42no—
590C23—42no—
591C23—42no—
592C23—42no—
593C23—42no—
594C23—42no—
595C23—42no—
596C23—42no—
597C23—42no—
598C23—42no—
599C23—42no—
600C23—42no—
601C23—42no—
602C23—84no—
603C23—84no—
604C23—84no—
605C23—84no—
606C23—84no—
607C23—84no—
608C23—84no—
609C23—84no—
610C23—84no—
611C23—84no—
612C23—84no—
613C23—84no—
614C23—84no—
615C23—84no—
616C23#53512yes—
617C23#54612yes—
618C23#54712yes—
619C23C22×D814yes—
620C23C22×D812yes—
621C23C2×AGL(1,ℤ/8)12yes—
622C23#57712yes—
623C23#57812yes—
624C23C23×D411yescharacteristic
625Q8—816no—
626D4—42no—
627D4—42no—
628D4—42no—
629D4—42no—
630D4—42no—
631D4—42no—
632D4—42no—
633D4—42no—
634D4—816no—
635D4—816no—
636D4—84no—
637D4—84no—
638C2×C4—28no—
639C2×C4—22no—
640C2×C4—22no—
641C2×C4—22no—
642C2×C4—28no—
643C2×C4—28no—
644C2×C4—22no—
645C2×C4—22no—
646C2×C4—22no—
647C2×C4—22no—
648C2×C4—22no—
649C2×C4—24no—
650C2×C4—22no—
651C2×C4—22no—
652C2×C4—22no—
653C2×C4—22no—
654C2×C4—44no—
655C2×C4—44no—
656C2×C4—48no—
657C2×C4—42no—
658C2×C4—42no—
659C2×C4—42no—
660C2×C4—42no—
661C2×C4—48no—
662C2×C4—42no—
663C2×C4—42no—
664C2×C4—42no—
665C2×C4—42no—
666C2×C4—42no—
667C2×C4—42no—
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—816no—
680C2×C4—84no—
681C2×C4—84no—
682C2×C4—84no—
683C2×C4—84no—
684C2×C4—84no—
685C2×C4#53512yes—
686C2×C4#53814yes—
687C2×C4#54214yes—
688C2×C4#54612yes—
689C2×C4#54712yes—
690C2×C4#55914yes—
691C2×C4#56214yes—
692C2×C4C22×D814yes—
693C2×C4C22×D814yes—
694C2×C4C2×AGL(1,ℤ/8)14yes—
695C2×C4C22×#4111yescharacteristic
696C2×C4C22×#4111yescharacteristic
697C2×C4C2×H(5,𝔽2)11yescharacteristic
698C2×C4C2×H(5,𝔽2)11yescharacteristic
699C2×C4C2×H(5,𝔽2)11yescharacteristic
700C2×C4C2×2−1+411yescharacteristic
701C8—24no—
702C8—42no—
703C8—42no—
704C8—42no—
705C22—24no—
706C22—24no—
707C22—24no—
708C22—416no—
709C22—42no—
710C22—42no—
711C22—42no—
712C22—42no—
713C22—82no—
714C22—82no—
715C22—82no—
716C22—82no—
717C22—82no—
718C22—82no—
719C22—82no—
720C22—82no—
721C22—82no—
722C22—82no—
723C22—82no—
724C22—82no—
725C22—82no—
726C22—82no—
727C22—168no—
728C22—168no—
729C22#271014yes—
730C22#320514yes—
731C22#322514yes—
732C22#329414yes—
733C22#330814yes—
734C22#333414yes—
735C22#335414yes—
736C22C2×#53511yescharacteristic
737C22C2×#54611yescharacteristic
738C22C2×#54711yescharacteristic
739C22C23×D811yescharacteristic
740C22C22×AGL(1,ℤ/8)11yescharacteristic
741C22C2×#57711yescharacteristic
742C22C2×#57811yescharacteristic
743C4—24no—
744C4—24no—
745C4—24no—
746C4—42no—
747C4—42no—
748C4—44no—
749C4—82no—
750C4—82no—
751C4—82no—
752C4—82no—
753C4—82no—
754C4#271014yes—
755C4C2×#53811yescharacteristic
756C4C2×#54211yescharacteristic
757C4C2×#55911yescharacteristic
758C4C2×#56211yescharacteristic
759C2—44no—
760C2—162no—
761C2—162no—
762C2#3204618yesdirect product factor
763C2C2×#271011yescharacteristic
764C2C2×#320511yescharacteristic
765C2C2×#322511yescharacteristic
766C2C2×#329411yescharacteristic
767C2C2×#330811yescharacteristic
768C2C2×#333411yescharacteristic
769C2C2×#335411yescharacteristic
subgroupG/H
center, socleC24C22×D4
commutator, Frattini, cosocleC22×C4C25
prime radicalC2×#1999C2
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C24 ◁ C2×C4×C22⋊C4 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C2×#2491C2semidirect
2. C2×#2501C2semidirect
3. #32046C2direct (N × H)
4. C2×#2093C2semidirect
5. C2×#2071C2semidirect
6. C2×#2054C2semidirect
7. C2×#2033C2semidirect
8. C2×#2023C2semidirect
10. C2×#1990C2semidirect
11. C2×#1970C2semidirect
12. C2×#1947C2semidirect
13. C2×#1925C2semidirect
14. C2×#1923C2semidirect
15. C2×#1874C2semidirect
16. C2×#1852C2semidirect
39. #2501C22semidirect
41. #2491C22semidirect
56. #2093C22semidirect
57. #2071C22semidirect
58. #2054C22semidirect
59. #2033C22semidirect
60. #2023C22semidirect
62. #1990C22semidirect
63. #1970C22semidirect
64. #1947C22semidirect
65. #1925C22semidirect
66. #1923C22semidirect
67. #1874C22semidirect
68. #1852C22semidirect
352. C2×C22⋊C4D8semidirect
567. C22⋊C4C2×D8semidirect
762. C2#32046direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#24912
C2×#25012
#320462
C2×#20932
C2×#20712
C2×#20542
C2×#20332
C2×#20232
C2×#19992
C2×#19902
C2×#19702
C2×#19472
C2×#19252
C2×#19232
C2×#18742
C2×#18522