Finite Group Databasebeta

← C2×#22155 #6375838

Subgroups — C2×#22155 #6375838

Order 512.

2690 conjugacy classes of subgroups.

The subgroup lattice has 739 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#463C211yesmaximal, characteristic
2C2×C4×#124C211yesmaximal, characteristic, complemented
3C2×#2293C211yesmaximal, characteristic, complemented
4#22155C2116yesmaximal, direct product factor
5C2×#1983C211yesmaximal, characteristic, complemented
6C2×#1973C211yesmaximal, characteristic, complemented
7C2×#1972C211yesmaximal, characteristic
8C2×#1949C211yesmaximal, characteristic, complemented
9C2×#1936C211yesmaximal, characteristic, complemented
10C2×#1935C211yesmaximal, characteristic, complemented
11C2×#1880C211yesmaximal, characteristic, complemented
12C2×#1879C211yesmaximal, characteristic
13C2×#1865C211yesmaximal, characteristic, complemented
14C2×#1862C211yesmaximal, characteristic, complemented
15C2×#1804C211yesmaximal, characteristic, complemented
16C2×#1767C211yesmaximal, characteristic, complemented
17C23×SD16C2211yescharacteristic
18C23×D8C2211yescharacteristic
19C22×#124C2211yescharacteristic
20C22×C4×Q8C2211yescharacteristic
21C22×C4×D4C2211yescharacteristic
22C22×C4×D4C2211yescharacteristic
23C22×#117—21no—
24C2×#463C4116yescomplemented
25C2×#463C2218yes—
26C22×#107C2211yescharacteristic
27C22×#106C2211yescharacteristic
28C22×C4⋊C8C2211yescharacteristic
29C22×C4⋊C8C2211yescharacteristic
30C22×#103C2211yescharacteristic
31C22×#103C2211yescharacteristic
32C22×#103C2211yescharacteristic
33C22×#102C2211yescharacteristic
34C22×#102C2211yescharacteristic
35C22×#102C2211yescharacteristic
36C22×#102C2211yescharacteristic
37C22×#102C2211yescharacteristic
38C22×#97C2211yescharacteristic
39C22×#97C2211yescharacteristic
40C4×#124—24no—
41C4×#124C2218yescomplemented
42C2×#391C2211yescharacteristic
43#2293—24no—
44#2293C2218yescomplemented
45C2×#390C2211yescharacteristic
46C2×#390C2211yescharacteristic
47C2×#390C2211yescharacteristic
48C2×#389C2211yescharacteristic
49C2×#389C2211yescharacteristic
50C2×#388—21no—
51C2×#388—21no—
52C2×#388—21no—
53C2×#388—21no—
54C2×#382C2211yescharacteristic
55C2×C4×C4⋊C4C2211yescharacteristic
56C2×C4×C22⋊C4—21no—
57C2×C4×C22⋊C4—21no—
58C2×C4×C22⋊C4—21no—
59C2×C43C2211yescharacteristic
60#1983C2218yescomplemented
61#1973C2218yescomplemented
62#1972C2218yes—
63#1949C2218yescomplemented
64#1936C2218yescomplemented
65#1935C2218yescomplemented
66#1880C2218yescomplemented
67#1879C2218yes—
68#1865C2218yescomplemented
69#1862C2218yescomplemented
70#1804C2218yescomplemented
71#1767C2218yescomplemented
72C2×#340C2211yescharacteristic
73C2×#340C2211yescharacteristic
74C2×#340C2211yescharacteristic
75C2×#340C2211yescharacteristic
76C2×#336C2211yescharacteristic
77C2×#336C2211yescharacteristic
78C23×Q8C2311yescharacteristic
79C23×D4C2311yescharacteristic
80C23×D4C2311yescharacteristic
81C24×C4—21no—
82C24×C4—21no—
83C22×SD16—42no—
84C22×SD16—42no—
85C22×SD16C2×C418yescomplemented
86C22×SD16C2314yes—
87C22×D8—42no—
88C22×D8—42no—
89C22×D8C2×C418yes—
90C22×D8C2314yes—
91C23×C8C2311yescharacteristic
92C23×C8C2311yescharacteristic
93C23×C8C2311yescharacteristic
94C23×C8C2311yescharacteristic
95C2×#124—22no—
96C2×#124—24no—
97C2×#124C2×C418yes—
98C2×#124C2314yes—
99C2×C4×Q8—22no—
100C2×C4×Q8—42no—
101C2×C4×Q8—42no—
102C2×C4×Q8C2314yes—
103C2×C4×D4—22no—
104C2×C4×D4—22no—
105C2×C4×D4—24no—
106C2×C4×D4—42no—
107C2×C4×D4—42no—
108C2×C4×D4C2×C418yescomplemented
109C2×C4×D4C2314yes—
110C2×C4×D4C2314yes—
111C2×#117—28no—
112C2×#117—48no—
113C22×C4⋊C4—21no—
114C22×C4⋊C4—21no—
115C22×C4⋊C4—21no—
116C22×C4⋊C4C2311yescharacteristic
117C22×C4⋊C4C2311yescharacteristic
118C22×C4⋊C4C2311yescharacteristic
119C22×C4⋊C4C2311yescharacteristic
120C22×C4⋊C4C2311yescharacteristic
121C22×C22⋊C4—21no—
122C22×C22⋊C4—21no—
123C22×C22⋊C4—21no—
124C22×C22⋊C4—21no—
125C22×C22⋊C4—21no—
126C22×C22⋊C4—21no—
127C22×C22⋊C4—21no—
128C22×C22⋊C4—21no—
129C22×C22⋊C4—21no—
130C22×C22⋊C4—21no—
131C22×C42—21no—
132C22×C42—21no—
133C22×C42D411yescharacteristic
134C22×C42D411yescharacteristic
135C22×C42D411yescharacteristic
136C22×C42D411yescharacteristic
137C22×C42C2311yescharacteristic
138C22×C42C2311yescharacteristic
139C22×C42C2311yescharacteristic
140#463C2×C4164yescomplemented
141C2×#107—42no—
142C2×#107C2314yes—
143C2×#106—42no—
144C2×#106C2314yes—
145C2×C4⋊C8—24no—
146C2×C4⋊C8C2×C418yescomplemented
147C2×C4⋊C8C2314yes—
148C2×C4⋊C8C2314yes—
149C2×#103—42no—
150C2×#103—42no—
151C2×#103C2×C418yescomplemented
152C2×#103C2314yes—
153C2×#103C2314yes—
154C2×#103C2314yes—
155C2×#102—42no—
156C2×#102—42no—
157C2×#102—42no—
158C2×#102—42no—
159C2×#102C2×C418yes—
160C2×#102C2314yes—
161C2×#102C2314yes—
162C2×#102C2314yes—
163C2×#102C2314yes—
164C2×#102C2314yes—
165C2×#97—42no—
166C2×#97—42no—
167C2×#97C2314yes—
168C2×#97C2314yes—
169#391—22no—
170#391C2314yes—
171#390—22no—
172#390—22no—
173#390—22no—
174#390C2314yes—
175#390C2314yes—
176#390C2314yes—
177#389—22no—
178#389—22no—
179#389C2314yes—
180#389C2314yes—
181#388—28no—
182#388—28no—
183#388—28no—
184#388—28no—
185#382—22no—
186#382C2314yes—
187C4×C4⋊C4—22no—
188C4×C4⋊C4C2314yes—
189C4×C22⋊C4—28no—
190C4×C22⋊C4—28no—
191C4×C22⋊C4—28no—
192C2×#95—21no—
193C2×#95—21no—
194C2×#95—21no—
195C2×#95—21no—
196C2×#95—21no—
197C2×#95—21no—
198C2×#95—21no—
199C43D414yes—
200C43C2314yes—
201#340C2314yes—
202#340C2314yes—
203#340C2314yes—
204#340C2314yes—
205#336C2314yes—
206#336C2314yes—
207C25—21no—
208C25—21no—
209C22×Q8—21no—
210C22×Q8—22no—
211C22×Q8—22no—
212C22×Q8—22no—
213C22×Q8—22no—
214C22×Q8—22no—
215C22×Q8C22×C414yes—
216C22×Q8C2412yes—
217C22×D4—21no—
218C22×D4—21no—
219C22×D4—22no—
220C22×D4—22no—
221C22×D4—22no—
222C22×D4—22no—
223C22×D4—22no—
224C22×D4—22no—
225C22×D4—22no—
226C22×D4—22no—
227C22×D4—22no—
228C22×D4—22no—
229C22×D4C22×C414yes—
230C22×D4C22×C414yes—
231C22×D4C2412yes—
232C22×D4C2412yes—
233C23×C4—21no—
234C23×C4—21no—
235C23×C4—28no—
236C23×C4—24no—
237C23×C4—21no—
238C23×C4—21no—
239C23×C4—21no—
240C23×C4—21no—
241C23×C4—24no—
242C23×C4—44no—
243C23×C4—44no—
244C23×C4—44no—
245C23×C4—44no—
246C23×C4—44no—
247C23×C4C2×D411yescharacteristic
248C23×C4C2×D411yescharacteristic
249C23×C4C2×D411yescharacteristic
250C23×C4C2×D411yescharacteristic
251C23×C4C2×D411yescharacteristic
252C23×C4C2×D411yescharacteristic
253C23×C4C2411yescharacteristic
254C2×SD16—416no—
255C2×SD16—44no—
256C2×SD16—44no—
257C2×SD16C22×C4116yescomplemented
258C2×D8—416no—
259C2×D8—44no—
260C2×D8—44no—
261C2×D8C22×C4116yes—
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×C8C22×C414yes—
273C22×C8C22×C414yes—
274C22×C8C2412yes—
275C22×C8C2412yes—
276C22×C8C2412yes—
277C22×C8C2412yes—
278#124—216no—
279#124—28no—
280#124C22×C4116yes—
281C4×Q8—44no—
282C4×Q8—44no—
283C4×Q8—48no—
284C4×D4—216no—
285C4×D4—28no—
286C4×D4—44no—
287C4×D4—44no—
288C4×D4—48no—
289C4×D4C22×C4116yescomplemented
290#117—432no—
291C2×C4⋊C4—21no—
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—24no—
302C2×C4⋊C4—24no—
303C2×C4⋊C4—24no—
304C2×C4⋊C4—21no—
305C2×C4⋊C4—21no—
306C2×C4⋊C4—21no—
307C2×C4⋊C4—21no—
308C2×C4⋊C4—44no—
309C2×C4⋊C4—44no—
310C2×C4⋊C4—44no—
311C2×C4⋊C4C22×C414yes—
312C2×C4⋊C4C2412yes—
313C2×C4⋊C4C2412yes—
314C2×C4⋊C4C2412yes—
315C2×C4⋊C4C2412yes—
316C2×C4⋊C4C2412yes—
317C2×C22⋊C4—28no—
318C2×C22⋊C4—28no—
319C2×C22⋊C4—28no—
320C2×C22⋊C4—24no—
321C2×C22⋊C4—24no—
322C2×C22⋊C4—24no—
323C2×C22⋊C4—24no—
324C2×C22⋊C4—24no—
325C2×C22⋊C4—24no—
326C2×C22⋊C4—24no—
327C2×C22⋊C4—24no—
328C2×C22⋊C4—24no—
329C2×C22⋊C4—24no—
330C2×C22⋊C4—44no—
331C2×C22⋊C4—44no—
332C2×C22⋊C4—44no—
333C2×C22⋊C4—44no—
334C2×C22⋊C4—44no—
335C2×C22⋊C4—44no—
336C2×C22⋊C4—44no—
337C2×C42—24no—
338C2×C42—22no—
339C2×C42—22no—
340C2×C42—22no—
341C2×C42—22no—
342C2×C42—24no—
343C2×C42—24no—
344C2×C42—42no—
345C2×C42—42no—
346C2×C42—42no—
347C2×C42—44no—
348C2×C42—44no—
349C2×C42C22×C414yes—
350C2×C42C2×D414yes—
351C2×C42C2×D412yes—
352C2×C42C2×D412yes—
353C2×C42C2×D414yes—
354C2×C42C2×D414yes—
355C2×C42C2×D414yes—
356C2×C42C2×D412yes—
357C2×C42#4114yes—
358C2×C42C2412yes—
359C2×C42C2412yes—
360C2×C42C2412yes—
361#107—44no—
362#106—44no—
363C4⋊C8—28no—
364C4⋊C8C22×C4116yescomplemented
365#103—44no—
366#103—44no—
367#103C22×C4116yescomplemented
368#102—44no—
369#102—44no—
370#102—44no—
371#102—44no—
372#102C22×C4116yes—
373#97—44no—
374#97—44no—
375#95—24no—
376#95—24no—
377#95—24no—
378#95—24no—
379#95—24no—
380#95—24no—
381#95—24no—
382C24—24no—
383C24—24no—
384C24—22no—
385C24—22no—
386C24—42no—
387C24—42no—
388C24—42no—
389C24—42no—
390C24—42no—
391C24—42no—
392C24—42no—
393C24—42no—
394C24—42no—
395C24—42no—
396C24—42no—
397C24—42no—
398C24C22×D411yescharacteristic
399C2×Q8—24no—
400C2×Q8—22no—
401C2×Q8—28no—
402C2×Q8—28no—
403C2×Q8—22no—
404C2×Q8—22no—
405C2×Q8—22no—
406C2×Q8—22no—
407C2×Q8—42no—
408C2×Q8—42no—
409C2×Q8—44no—
410C2×Q8—44no—
411C2×Q8C23×C414yes—
412C2×D4—24no—
413C2×D4—24no—
414C2×D4—28no—
415C2×D4—28no—
416C2×D4—28no—
417C2×D4—28no—
418C2×D4—22no—
419C2×D4—22no—
420C2×D4—22no—
421C2×D4—22no—
422C2×D4—22no—
423C2×D4—22no—
424C2×D4—22no—
425C2×D4—22no—
426C2×D4—22no—
427C2×D4—22no—
428C2×D4—42no—
429C2×D4—42no—
430C2×D4—42no—
431C2×D4—42no—
432C2×D4—44no—
433C2×D4—44no—
434C2×D4—44no—
435C2×D4—44no—
436C2×D4C23×C414yes—
437C2×D4C23×C414yes—
438C22×C4—22no—
439C22×C4—22no—
440C22×C4—22no—
441C22×C4—22no—
442C22×C4—22no—
443C22×C4—22no—
444C22×C4—24no—
445C22×C4—24no—
446C22×C4—22no—
447C22×C4—22no—
448C22×C4—22no—
449C22×C4—22no—
450C22×C4—22no—
451C22×C4—22no—
452C22×C4—22no—
453C22×C4—22no—
454C22×C4—22no—
455C22×C4—22no—
456C22×C4—22no—
457C22×C4—216no—
458C22×C4—22no—
459C22×C4—22no—
460C22×C4—22no—
461C22×C4—22no—
462C22×C4—48no—
463C22×C4—432no—
464C22×C4—48no—
465C22×C4—48no—
466C22×C4—48no—
467C22×C4—42no—
468C22×C4—42no—
469C22×C4—42no—
470C22×C4—42no—
471C22×C4—42no—
472C22×C4—42no—
473C22×C4—42no—
474C22×C4—42no—
475C22×C4—42no—
476C22×C4—42no—
477C22×C4—42no—
478C22×C4—42no—
479C22×C4—42no—
480C22×C4—42no—
481C22×C4—42no—
482C22×C4—42no—
483C22×C4—48no—
484C22×C4—816no—
485C22×C4C4×D414yes—
486C22×C4C4×D414yes—
487C22×C4AGL(1,ℤ/8)14yes—
488C22×C4C23×C412yes—
489C22×C4C22×D412yes—
490C22×C4C22×D412yes—
491C22×C4C22×D412yes—
492C22×C4C22×D412yes—
493C22×C4C22×D412yes—
494C22×C4C22×D412yes—
495C22×C4C22×D411yescharacteristic
496C22×C4C2×#4112yes—
497C22×C4H(5,𝔽2)12yes—
498C22×C4H(5,𝔽2)12yes—
499C22×C4H(5,𝔽2)12yes—
500C22×C42−1+412yes—
501C22×C4C2511yescharacteristic
502SD16—416no—
503D8—416no—
504C2×C8—28no—
505C2×C8—28no—
506C2×C8—22no—
507C2×C8—22no—
508C2×C8—22no—
509C2×C8—22no—
510C2×C8—22no—
511C2×C8—22no—
512C2×C8—22no—
513C2×C8—22no—
514C2×C8—22no—
515C2×C8—22no—
516C2×C8—44no—
517C2×C8—44no—
518C2×C8C23×C414yes—
519C2×C8C23×C414yes—
520C4⋊C4—24no—
521C4⋊C4—22no—
522C4⋊C4—22no—
523C4⋊C4—22no—
524C4⋊C4—22no—
525C4⋊C4—22no—
526C4⋊C4—22no—
527C4⋊C4—22no—
528C4⋊C4—22no—
529C4⋊C4—22no—
530C4⋊C4—48no—
531C4⋊C4—48no—
532C4⋊C4—42no—
533C4⋊C4—42no—
534C4⋊C4—42no—
535C4⋊C4—42no—
536C4⋊C4—48no—
537C4⋊C4C23×C414yes—
538C22⋊C4—216no—
539C22⋊C4—216no—
540C22⋊C4—216no—
541C22⋊C4—48no—
542C22⋊C4—48no—
543C22⋊C4—48no—
544C22⋊C4—48no—
545C22⋊C4—48no—
546C22⋊C4—48no—
547C22⋊C4—48no—
548C42—24no—
549C42—24no—
550C42—28no—
551C42—22no—
552C42—22no—
553C42—22no—
554C42—22no—
555C42—44no—
556C42—44no—
557C42—44no—
558C42—48no—
559C42—48no—
560C42C4×D418yes—
561C42C23×C414yes—
562C42C2×#4114yes—
563C23—24no—
564C23—24no—
565C23—48no—
566C23—48no—
567C23—42no—
568C23—42no—
569C23—42no—
570C23—42no—
571C23—48no—
572C23—48no—
573C23—48no—
574C23—48no—
575C23—42no—
576C23—42no—
577C23—42no—
578C23—42no—
579C23—42no—
580C23—42no—
581C23—42no—
582C23—42no—
583C23—84no—
584C23—84no—
585C23—84no—
586C23—84no—
587C23—84no—
588C23—84no—
589C23—84no—
590C23—84no—
591C23C2×C4×D412yes—
592C23#53512yes—
593C23#53712yes—
594C23C2×AGL(1,ℤ/8)12yes—
595C23#57512yes—
596C23#57512yes—
597C23#57512yes—
598C23C23×D411yescharacteristic
599Q8—24no—
600Q8—24no—
601Q8—48no—
602Q8—42no—
603Q8—42no—
604D4—24no—
605D4—24no—
606D4—24no—
607D4—24no—
608D4—48no—
609D4—48no—
610D4—42no—
611D4—42no—
612D4—42no—
613D4—42no—
614C2×C4—22no—
615C2×C4—28no—
616C2×C4—28no—
617C2×C4—28no—
618C2×C4—22no—
619C2×C4—22no—
620C2×C4—22no—
621C2×C4—22no—
622C2×C4—22no—
623C2×C4—24no—
624C2×C4—24no—
625C2×C4—22no—
626C2×C4—22no—
627C2×C4—22no—
628C2×C4—22no—
629C2×C4—22no—
630C2×C4—22no—
631C2×C4—22no—
632C2×C4—22no—
633C2×C4—22no—
634C2×C4—432no—
635C2×C4—48no—
636C2×C4—42no—
637C2×C4—42no—
638C2×C4—48no—
639C2×C4—44no—
640C2×C4—44no—
641C2×C4—44no—
642C2×C4—42no—
643C2×C4—42no—
644C2×C4—42no—
645C2×C4—42no—
646C2×C4—42no—
647C2×C4—42no—
648C2×C4—42no—
649C2×C4—42no—
650C2×C4—42no—
651C2×C4—42no—
652C2×C4—42no—
653C2×C4—42no—
654C2×C4—42no—
655C2×C4—42no—
656C2×C4—816no—
657C2×C4—84no—
658C2×C4—84no—
659C2×C4—84no—
660C2×C4—84no—
661C2×C4C2×C4×D414yes—
662C2×C4C2×C4×D414yes—
663C2×C4C2×C4×D412yes—
664C2×C4#51814yes—
665C2×C4#52014yes—
666C2×C4#53512yes—
667C2×C4#53712yes—
668C2×C4#54014yes—
669C2×C4#54214yes—
670C2×C4C2×AGL(1,ℤ/8)14yes—
671C2×C4C24×C411yescharacteristic
672C2×C4C22×#4111yescharacteristic
673C2×C4C2×H(5,𝔽2)11yescharacteristic
674C2×C4C2×H(5,𝔽2)11yescharacteristic
675C2×C4C2×H(5,𝔽2)11yescharacteristic
676C2×C4C2×2−1+411yescharacteristic
677C8—24no—
678C8—24no—
679C8—42no—
680C8—42no—
681C22—44no—
682C22—44no—
683C22—44no—
684C22—44no—
685C22—44no—
686C22—44no—
687C22—82no—
688C22—82no—
689C22—82no—
690C22—82no—
691C22—816no—
692C22—816no—
693C22—82no—
694C22—82no—
695C22—82no—
696C22—82no—
697C22#232414yes—
698C22#294314yes—
699C22C4×AGL(1,ℤ/8)14yes—
700C22#321314yes—
701C22#321914yes—
702C22#325114yes—
703C22#325614yes—
704C22C22×C4×D411yescharacteristic
705C22C2×#53511yescharacteristic
706C22C2×#53711yescharacteristic
707C22C22×AGL(1,ℤ/8)11yescharacteristic
708C22C2×#57511yescharacteristic
709C22C2×#57511yescharacteristic
710C22C2×#57511yescharacteristic
711C4—24no—
712C4—24no—
713C4—24no—
714C4—44no—
715C4—42no—
716C4—42no—
717C4—42no—
718C4—44no—
719C4—82no—
720C4—82no—
721C4—82no—
722C4—82no—
723C4#232414yes—
724C4C2×#51811yescharacteristic
725C4C2×#52011yescharacteristic
726C4C2×#54011yescharacteristic
727C4C2×#54211yescharacteristic
728C2—84no—
729C2—84no—
730C2#2215518yesdirect product factor
731C2C2×#232411yescharacteristic
732C2C2×#294311yescharacteristic
733C2C2×C4×AGL(1,ℤ/8)11yescharacteristic
734C2C2×#321311yescharacteristic
735C2C2×#321911yescharacteristic
736C2C2×#325111yescharacteristic
737C2C2×#325611yescharacteristic
subgroupG/H
center, socleC24C22×D4
commutatorC2×C4C24×C4
Frattini, cosocleC22×C4C25
prime radicalC23×D8C22
LCSG ▷ C2×C4 ▷ C2 ▷ C1
UCSC1 ◁ C24 ◁ C2×C43 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
2. C2×C4×#124C2semidirect
3. C2×#2293C2semidirect
4. #22155C2direct (N × H)
5. C2×#1983C2semidirect
6. C2×#1973C2semidirect
8. C2×#1949C2semidirect
9. C2×#1936C2semidirect
10. C2×#1935C2semidirect
11. C2×#1880C2semidirect
13. C2×#1865C2semidirect
14. C2×#1862C2semidirect
15. C2×#1804C2semidirect
16. C2×#1767C2semidirect
24. C2×#463C4semidirect
41. C4×#124C22semidirect
44. #2293C22semidirect
60. #1983C22semidirect
61. #1973C22semidirect
63. #1949C22semidirect
64. #1936C22semidirect
65. #1935C22semidirect
66. #1880C22semidirect
68. #1865C22semidirect
69. #1862C22semidirect
70. #1804C22semidirect
71. #1767C22semidirect
85. C22×SD16C2×C4semidirect
108. C2×C4×D4C2×C4semidirect
140. #463C2×C4semidirect
146. C2×C4⋊C8C2×C4semidirect
151. C2×#103C2×C4semidirect
257. C2×SD16C22×C4semidirect
289. C4×D4C22×C4semidirect
364. C4⋊C8C22×C4semidirect
367. #103C22×C4semidirect
730. C2#22155direct (N × H)

Maximal subgroups

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

subgroupindex
C22×#4632
C2×C4×#1242
C2×#22932
#221552
C2×#19832
C2×#19732
C2×#19722
C2×#19492
C2×#19362
C2×#19352
C2×#18802
C2×#18792
C2×#18652
C2×#18622
C2×#18042
C2×#17672