Finite Group Databasebeta

← C2×#30878 #7502169

Subgroups — C2×#30878 #7502169

Order 512.

2562 conjugacy classes of subgroups.

The subgroup lattice has 752 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#487C211yesmaximal, characteristic, complemented
2C22×#461C211yesmaximal, characteristic
3C2×#2546C211yesmaximal, characteristic, complemented
4C2×#2452C211yesmaximal, characteristic
5#30878C2116yesmaximal, direct product factor
6C2×#2066C211yesmaximal, characteristic, complemented
7C2×#2043C211yesmaximal, characteristic, complemented
8C2×#2043C211yesmaximal, characteristic, complemented
9C2×#2024C211yesmaximal, characteristic, complemented
10C2×#2013C211yesmaximal, characteristic
11C2×#2013C211yesmaximal, characteristic
12C2×#1968C211yesmaximal, characteristic
13C2×#1916C211yesmaximal, characteristic, complemented
14C2×#1880C211yesmaximal, characteristic
15C2×#1877C211yesmaximal, characteristic
16C2×#1865C211yesmaximal, characteristic, complemented
17C23×SD16C2211yescharacteristic
18C23×SD16C2211yescharacteristic
19C23×SD16C2211yescharacteristic
20C22×C4⋊Q8C2211yescharacteristic
21C22×C4⋊Q8C2211yescharacteristic
22C22×C4⋊Q8C2211yescharacteristic
23C22×C4⋊Q8C2211yescharacteristic
24C22×C22⋊Q8—21no—
25C22×C4×Q8C2211yescharacteristic
26C22×C4×D4C2211yescharacteristic
27C2×#487—28no—
28C2×#487C2218yescomplemented
29C2×#461—28no—
30C2×#461C2218yes—
31C22×#106C2211yescharacteristic
32C22×C4⋊C8C2211yescharacteristic
33C22×#103C2211yescharacteristic
34C22×#103C2211yescharacteristic
35C22×#103C2211yescharacteristic
36C22×#103C2211yescharacteristic
37C22×#103C2211yescharacteristic
38C22×#103C2211yescharacteristic
39C22×#103C2211yescharacteristic
40C22×#103C2211yescharacteristic
41C22×#103C2211yescharacteristic
42C22×#102C2211yescharacteristic
43C22×C4×C8C2211yescharacteristic
44#2546—24no—
45#2546C2218yescomplemented
46#2452—24no—
47#2452C2218yes—
48C2×#398—21no—
49C2×#398—21no—
50C2×#396—21no—
51C2×#393—21no—
52C2×#391C2211yescharacteristic
53C2×#391C2211yescharacteristic
54C2×#390C2211yescharacteristic
55C2×#390C2211yescharacteristic
56C2×#389—21no—
57C2×#389—21no—
58C2×#389C2211yescharacteristic
59C2×#389C2211yescharacteristic
60C2×#385—21no—
61C2×C4×C4⋊C4C2211yescharacteristic
62#2066C2218yescomplemented
63#2043C2218yescomplemented
64#2043C2218yescomplemented
65#2024C2218yescomplemented
66#2013C2218yes—
67#2013C2218yes—
68#1968C2218yes—
69#1916C2218yescomplemented
70#1880C2218yes—
71#1877C2218yes—
72#1865C2218yescomplemented
73C2×#340C2211yescharacteristic
74C2×#340C2211yescharacteristic
75C2×#336C2211yescharacteristic
76C2×#336C2211yescharacteristic
77C2×#336C2211yescharacteristic
78C2×#336C2211yescharacteristic
79C23×Q8—21no—
80C23×Q8C2311yescharacteristic
81C23×Q8C2311yescharacteristic
82C23×Q8C2311yescharacteristic
83C23×D4C2311yescharacteristic
84C24×C4—21no—
85C22×SD16—24no—
86C22×SD16—24no—
87C22×SD16—24no—
88C22×SD16—24no—
89C22×SD16—24no—
90C22×SD16—42no—
91C22×SD16—42no—
92C22×SD16—42no—
93C22×SD16—42no—
94C22×SD16C2314yes—
95C22×SD16C2314yes—
96C22×SD16C2314yes—
97C23×C8C2311yescharacteristic
98C23×C8C2311yescharacteristic
99C23×C8C2311yescharacteristic
100C23×C8C2311yescharacteristic
101C2×C4⋊Q8—24no—
102C2×C4⋊Q8—24no—
103C2×C4⋊Q8—24no—
104C2×C4⋊Q8—22no—
105C2×C4⋊Q8—22no—
106C2×C4⋊Q8—22no—
107C2×C4⋊Q8—22no—
108C2×C4⋊Q8—42no—
109C2×C4⋊Q8—42no—
110C2×C4⋊Q8—42no—
111C2×C4⋊Q8—42no—
112C2×C4⋊Q8—42no—
113C2×C4⋊Q8C2314yes—
114C2×C4⋊Q8C2314yes—
115C2×C4⋊Q8C2314yes—
116C2×C4⋊Q8C2314yes—
117C2×C22⋊Q8—28no—
118C2×C22⋊Q8—48no—
119C2×C4×Q8—22no—
120C2×C4×Q8—42no—
121C2×C4×Q8—42no—
122C2×C4×Q8C2314yes—
123C2×C4×D4—24no—
124C2×C4×D4—22no—
125C2×C4×D4—42no—
126C2×C4×D4C2314yes—
127C22×C4⋊C4—21no—
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⋊C4—21no—
135C22×C4⋊C4—21no—
136C22×C4⋊C4—21no—
137C22×C4⋊C4D411yescharacteristic
138C22×C4⋊C4D411yescharacteristic
139C22×C4⋊C4C2311yescharacteristic
140C22×C4⋊C4C2311yescharacteristic
141C22×C4⋊C4C2311yescharacteristic
142C22×C4⋊C4C2311yescharacteristic
143C22×C22⋊C4—21no—
144C22×C22⋊C4—21no—
145C22×C22⋊C4—21no—
146C22×C22⋊C4—21no—
147C22×C22⋊C4—21no—
148C22×C42—21no—
149C22×C42C2311yescharacteristic
150C22×C42C2311yescharacteristic
151C22×C42C2311yescharacteristic
152#487—232no—
153#461—232no—
154C2×#106—42no—
155C2×#106C2314yes—
156C2×C4⋊C8—24no—
157C2×C4⋊C8C2314yes—
158C2×#103—24no—
159C2×#103—24no—
160C2×#103—24no—
161C2×#103—24no—
162C2×#103—42no—
163C2×#103—42no—
164C2×#103—42no—
165C2×#103—42no—
166C2×#103D418yes—
167C2×#103C2314yes—
168C2×#103C2314yes—
169C2×#103C2314yes—
170C2×#103C2314yes—
171C2×#103C2314yes—
172C2×#103C2314yes—
173C2×#103C2314yes—
174C2×#103C2314yes—
175C2×#103C2314yes—
176C2×#102—42no—
177C2×#102C2314yes—
178C2×C4×C8—24no—
179C2×C4×C8C2314yes—
180#398—28no—
181#398—28no—
182#396—28no—
183#393—28no—
184#391—22no—
185#391—22no—
186#391C2314yes—
187#391C2314yes—
188#390—22no—
189#390—22no—
190#390C2314yes—
191#390C2314yes—
192#389—28no—
193#389—28no—
194#389—22no—
195#389—22no—
196#389C2314yes—
197#389C2314yes—
198#385—28no—
199C4×C4⋊C4D414yes—
200C4×C4⋊C4C2314yes—
201C2×#95—21no—
202C2×#95—21no—
203C2×#95—21no—
204C2×#95—21no—
205C2×#95—21no—
206C2×#95—21no—
207C2×#95D411yescharacteristic
208C2×#95D411yescharacteristic
209#340C2314yes—
210#340C2314yes—
211#336C2314yes—
212#336C2314yes—
213#336C2314yes—
214#336C2314yes—
215C25—21no—
216C22×Q8—21no—
217C22×Q8—21no—
218C22×Q8—21no—
219C22×Q8—24no—
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×Q8—22no—
230C22×Q8—22no—
231C22×Q8—22no—
232C22×Q8—22no—
233C22×Q8—22no—
234C22×Q8—22no—
235C22×Q8—22no—
236C22×Q8—22no—
237C22×Q8—44no—
238C22×Q8—44no—
239C22×Q8—82no—
240C22×Q8C2×D414yes—
241C22×Q8C2412yes—
242C22×Q8C2412yes—
243C22×Q8C2412yes—
244C22×D4—22no—
245C22×D4—21no—
246C22×D4—22no—
247C22×D4—22no—
248C22×D4—22no—
249C22×D4—22no—
250C22×D4#4114yes—
251C22×D4C2412yes—
252C23×C4—21no—
253C23×C4—21no—
254C23×C4—21no—
255C23×C4—21no—
256C23×C4—21no—
257C23×C4—21no—
258C23×C4—21no—
259C23×C4—24no—
260C23×C4—44no—
261C23×C4—44no—
262C23×C4—82no—
263C23×C4C2×D411yescharacteristic
264C23×C4C2×D411yescharacteristic
265C23×C4C2×D411yescharacteristic
266C23×C4C2×D411yescharacteristic
267C23×C4C2×D411yescharacteristic
268C23×C4C2×D411yescharacteristic
269C23×C4C2411yescharacteristic
270C2×SD16—28no—
271C2×SD16—28no—
272C2×SD16—28no—
273C2×SD16—28no—
274C2×SD16—28no—
275C2×SD16—44no—
276C2×SD16—44no—
277C2×SD16—44no—
278C2×SD16—44no—
279C2×SD16—416no—
280C2×SD16—416no—
281C2×SD16—416no—
282C22×C8—22no—
283C22×C8—22no—
284C22×C8—22no—
285C22×C8—22no—
286C22×C8—22no—
287C22×C8—22no—
288C22×C8—22no—
289C22×C8—22no—
290C22×C8—22no—
291C22×C8—22no—
292C22×C8—22no—
293C22×C8C2×D414yes—
294C22×C8C2412yes—
295C22×C8C2412yes—
296C22×C8C2412yes—
297C22×C8C2412yes—
298C4⋊Q8—28no—
299C4⋊Q8—28no—
300C4⋊Q8—28no—
301C4⋊Q8—44no—
302C4⋊Q8—48no—
303C4⋊Q8—44no—
304C4⋊Q8—44no—
305C4⋊Q8—44no—
306C4⋊Q8—44no—
307C4⋊Q8—48no—
308C4⋊Q8—48no—
309C4⋊Q8—48no—
310C22⋊Q8—432no—
311C4×Q8—44no—
312C4×Q8—44no—
313C4×Q8—48no—
314C4×D4—28no—
315C4×D4—44no—
316C4×D4—48no—
317C2×C4⋊C4—24no—
318C2×C4⋊C4—21no—
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—24no—
327C2×C4⋊C4—24no—
328C2×C4⋊C4—24no—
329C2×C4⋊C4—24no—
330C2×C4⋊C4—24no—
331C2×C4⋊C4—24no—
332C2×C4⋊C4—24no—
333C2×C4⋊C4—24no—
334C2×C4⋊C4—24no—
335C2×C4⋊C4—24no—
336C2×C4⋊C4—21no—
337C2×C4⋊C4—21no—
338C2×C4⋊C4—21no—
339C2×C4⋊C4—44no—
340C2×C4⋊C4—44no—
341C2×C4⋊C4—44no—
342C2×C4⋊C4—44no—
343C2×C4⋊C4—44no—
344C2×C4⋊C4—44no—
345C2×C4⋊C4—44no—
346C2×C4⋊C4—44no—
347C2×C4⋊C4—44no—
348C2×C4⋊C4—44no—
349C2×C4⋊C4SD1618yescomplemented
350C2×C4⋊C4C2×D414yes—
351C2×C4⋊C4C2×D414yes—
352C2×C4⋊C4C2×D414yes—
353C2×C4⋊C4C2412yes—
354C2×C4⋊C4C2412yes—
355C2×C4⋊C4C2412yes—
356C2×C4⋊C4C2412yes—
357C2×C22⋊C4—24no—
358C2×C22⋊C4—24no—
359C2×C22⋊C4—24no—
360C2×C22⋊C4—24no—
361C2×C22⋊C4—24no—
362C2×C22⋊C4—44no—
363C2×C22⋊C4—44no—
364C2×C22⋊C4—44no—
365C2×C22⋊C4—44no—
366C2×C22⋊C4—82no—
367C2×C42—22no—
368C2×C42—22no—
369C2×C42—22no—
370C2×C42—22no—
371C2×C42—22no—
372C2×C42—22no—
373C2×C42—24no—
374C2×C42—44no—
375C2×C42C2×D412yes—
376C2×C42C2×D412yes—
377C2×C42C2×D412yes—
378C2×C42C2412yes—
379C2×C42C2412yes—
380C2×C42C2412yes—
381#106—44no—
382C4⋊C8—28no—
383#103—28no—
384#103—28no—
385#103—28no—
386#103—28no—
387#103—44no—
388#103—44no—
389#103—44no—
390#103—44no—
391#103C2×D4116yes—
392#102—44no—
393C4×C8—28no—
394#95—24no—
395#95—24no—
396#95—24no—
397#95—24no—
398#95—24no—
399#95—24no—
400#95C2×D414yes—
401#95C2×D414yes—
402C24—24no—
403C24—22no—
404C24—42no—
405C24—42no—
406C24—42no—
407C24—42no—
408C24—42no—
409C24—42no—
410C24C22×D411yescharacteristic
411C2×Q8—24no—
412C2×Q8—22no—
413C2×Q8—28no—
414C2×Q8—28no—
415C2×Q8—22no—
416C2×Q8—22no—
417C2×Q8—22no—
418C2×Q8—22no—
419C2×Q8—22no—
420C2×Q8—22no—
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—48no—
432C2×Q8—42no—
433C2×Q8—42no—
434C2×Q8—42no—
435C2×Q8—44no—
436C2×Q8—42no—
437C2×Q8—42no—
438C2×Q8—42no—
439C2×Q8—42no—
440C2×Q8—42no—
441C2×Q8—44no—
442C2×Q8—48no—
443C2×Q8—44no—
444C2×Q8—44no—
445C2×Q8—44no—
446C2×Q8—44no—
447C2×Q8—44no—
448C2×Q8—44no—
449C2×Q8—44no—
450C2×Q8—44no—
451C2×Q8—84no—
452C2×Q8—816no—
453C2×Q8C22×D414yes—
454C2×D4—28no—
455C2×D4—28no—
456C2×D4—24no—
457C2×D4—22no—
458C2×D4—22no—
459C2×D4—22no—
460C2×D4—22no—
461C2×D4—22no—
462C2×D4—42no—
463C2×D4—44no—
464C2×D4—42no—
465C2×D4—44no—
466C2×D4C2×#4114yes—
467C22×C4—22no—
468C22×C4—22no—
469C22×C4—22no—
470C22×C4—22no—
471C22×C4—22no—
472C22×C4—22no—
473C22×C4—22no—
474C22×C4—22no—
475C22×C4—22no—
476C22×C4—22no—
477C22×C4—24no—
478C22×C4—24no—
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—48no—
491C22×C4—42no—
492C22×C4—42no—
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—48no—
511C22×C4—84no—
512C22×C4—816no—
513C22×C4C2×SD1614yes—
514C22×C4C2×SD1614yes—
515C22×C4C2×SD1614yes—
516C22×C4#13714yes—
517C22×C4C22×D412yes—
518C22×C4C22×D412yes—
519C22×C4C22×D412yes—
520C22×C4C22×D412yes—
521C22×C4C22×D412yes—
522C22×C4C22×D412yes—
523C22×C4C22×D411yescharacteristic
524C22×C4C22×D412yes—
525C22×C4C2×#4112yes—
526C22×C4H(5,𝔽2)12yes—
527C22×C4H(5,𝔽2)12yes—
528C22×C4H(5,𝔽2)12yes—
529C22×C42−1+412yes—
530C22×C4C2511yescharacteristic
531SD16—416no—
532SD16—416no—
533SD16—416no—
534C2×C8—28no—
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—22no—
545C2×C8—22no—
546C2×C8—44no—
547C2×C8—44no—
548C2×C8—44no—
549C2×C8C22×D414yes—
550C4⋊C4—24no—
551C4⋊C4—28no—
552C4⋊C4—22no—
553C4⋊C4—22no—
554C4⋊C4—22no—
555C4⋊C4—22no—
556C4⋊C4—22no—
557C4⋊C4—22no—
558C4⋊C4—22no—
559C4⋊C4—48no—
560C4⋊C4—48no—
561C4⋊C4—48no—
562C4⋊C4—48no—
563C4⋊C4—48no—
564C4⋊C4—48no—
565C4⋊C4—48no—
566C4⋊C4—48no—
567C4⋊C4—42no—
568C4⋊C4—42no—
569C4⋊C4—42no—
570C4⋊C4—48no—
571C4⋊C4—48no—
572C4⋊C4C2×SD16116yescomplemented
573C4⋊C4C22×D414yes—
574C22⋊C4—48no—
575C22⋊C4—48no—
576C22⋊C4—48no—
577C22⋊C4—48no—
578C22⋊C4—84no—
579C42—24no—
580C42—24no—
581C42—24no—
582C42—22no—
583C42—22no—
584C42—22no—
585C42—22no—
586C42—22no—
587C42—22no—
588C42—48no—
589C23—24no—
590C23—48no—
591C23—48no—
592C23—48no—
593C23—42no—
594C23—42no—
595C23—42no—
596C23—42no—
597C23—42no—
598C23—42no—
599C23—84no—
600C23—84no—
601C23—84no—
602C23—84no—
603C23#53512yes—
604C23D4212yes—
605C23#54812yes—
606C23C22×SD1612yes—
607C23C2×#13712yes—
608C23#57712yes—
609C23#57812yes—
610C23C23×D411yescharacteristic
611Q8—24no—
612Q8—24no—
613Q8—48no—
614Q8—42no—
615Q8—42no—
616Q8—42no—
617Q8—42no—
618Q8—42no—
619Q8—42no—
620Q8—42no—
621Q8—42no—
622Q8—42no—
623Q8—42no—
624Q8—816no—
625Q8—84no—
626Q8—84no—
627D4—24no—
628D4—24no—
629D4—48no—
630D4—42no—
631D4—42no—
632C2×C4—22no—
633C2×C4—28no—
634C2×C4—22no—
635C2×C4—22no—
636C2×C4—22no—
637C2×C4—28no—
638C2×C4—28no—
639C2×C4—28no—
640C2×C4—22no—
641C2×C4—22no—
642C2×C4—22no—
643C2×C4—22no—
644C2×C4—22no—
645C2×C4—22no—
646C2×C4—24no—
647C2×C4—24no—
648C2×C4—22no—
649C2×C4—22no—
650C2×C4—22no—
651C2×C4—22no—
652C2×C4—48no—
653C2×C4—42no—
654C2×C4—42no—
655C2×C4—44no—
656C2×C4—44no—
657C2×C4—48no—
658C2×C4—42no—
659C2×C4—42no—
660C2×C4—42no—
661C2×C4—42no—
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—816no—
676C2×C4—84no—
677C2×C4—84no—
678C2×C4—84no—
679C2×C4—84no—
680C2×C4—84no—
681C2×C4#53512yes—
682C2×C4#53714yes—
683C2×C4#53814yes—
684C2×C4D4212yes—
685C2×C4#54614yes—
686C2×C4#54812yes—
687C2×C4#56214yes—
688C2×C4C22×SD1614yes—
689C2×C4C22×SD1614yes—
690C2×C4C22×SD1614yes—
691C2×C4C2×#13714yes—
692C2×C4C23×D411yescharacteristic
693C2×C4C22×#4111yescharacteristic
694C2×C4C2×H(5,𝔽2)11yescharacteristic
695C2×C4C2×H(5,𝔽2)11yescharacteristic
696C2×C4C2×H(5,𝔽2)11yescharacteristic
697C2×C4C2×2−1+411yescharacteristic
698C8—24no—
699C8—42no—
700C8—42no—
701C8—42no—
702C22—44no—
703C22—44no—
704C22—44no—
705C22—82no—
706C22—82no—
707C22—82no—
708C22—82no—
709C22—816no—
710C22#267614yes—
711C22#320614yes—
712C22#322514yes—
713C22#327014yes—
714C22D4×SD1614yes—
715C22#335914yes—
716C22#337214yes—
717C22C2×#53511yescharacteristic
718C22C2×D4211yescharacteristic
719C22C2×#54811yescharacteristic
720C22C23×SD1611yescharacteristic
721C22C22×#13711yescharacteristic
722C22C2×#57711yescharacteristic
723C22C2×#57811yescharacteristic
724C4—24no—
725C4—24no—
726C4—24no—
727C4—24no—
728C4—42no—
729C4—44no—
730C4—42no—
731C4—44no—
732C4—82no—
733C4—82no—
734C4—82no—
735C4—82no—
736C4—82no—
737C4#267614yes—
738C4C2×#53711yescharacteristic
739C4C2×#53811yescharacteristic
740C4C2×#54611yescharacteristic
741C4C2×#56211yescharacteristic
742C2—84no—
743C2#3087818yesdirect product factor
744C2C2×#267611yescharacteristic
745C2C2×#320611yescharacteristic
746C2C2×#322511yescharacteristic
747C2C2×#327011yescharacteristic
748C2C2×D4×SD1611yescharacteristic
749C2C2×#335911yescharacteristic
750C2C2×#337211yescharacteristic
subgroupG/H
center, socleC24C22×D4
commutator, Frattini, cosocleC22×C4C25
prime radicalC23×D4C23
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C24 ◁ C2×C4×C4⋊C4 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C22×#487C2semidirect
3. C2×#2546C2semidirect
5. #30878C2direct (N × H)
6. C2×#2066C2semidirect
7. C2×#2043C2semidirect
8. C2×#2043C2semidirect
9. C2×#2024C2semidirect
13. C2×#1916C2semidirect
16. C2×#1865C2semidirect
28. C2×#487C22semidirect
45. #2546C22semidirect
62. #2066C22semidirect
63. #2043C22semidirect
64. #2043C22semidirect
65. #2024C22semidirect
69. #1916C22semidirect
72. #1865C22semidirect
349. C2×C4⋊C4SD16semidirect
572. C4⋊C4C2×SD16semidirect
743. C2#30878direct (N × H)

Maximal subgroups

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

subgroupindex
C22×#4872
C22×#4612
C2×#25462
C2×#24522
#308782
C2×#20662
C2×#20432
C2×#20242
C2×#20132
C2×#19682
C2×#19162
C2×#18802
C2×#18772
C2×#18652