Finite Group Databasebeta

← C2×#30902 #7502187

Subgroups — C2×#30902 #7502187

Order 512.

2600 conjugacy classes of subgroups.

The subgroup lattice has 778 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#489C211yesmaximal, characteristic, complemented
2C22×#461C211yesmaximal, characteristic, complemented
3C2×#2545C211yesmaximal, characteristic, complemented
4C2×#2452C211yesmaximal, characteristic, complemented
5#30902C2116yesmaximal, direct product factor
6C2×#2067C211yesmaximal, characteristic, complemented
7C2×#2043C211yesmaximal, characteristic, complemented
8C2×#2042C211yesmaximal, characteristic, complemented
9C2×#2024C211yesmaximal, characteristic, complemented
10C2×#2012C211yesmaximal, characteristic
11C2×#2012C211yesmaximal, characteristic
12C2×#1973C211yesmaximal, characteristic, complemented
13C2×#1917C211yesmaximal, characteristic, complemented
14C2×#1880C211yesmaximal, characteristic, complemented
15C2×#1879C211yesmaximal, characteristic
16C2×#1863C211yesmaximal, characteristic, complemented
17C23×SD16C2211yescharacteristic
18C23×SD16C2211yescharacteristic
19C23×D8C2211yescharacteristic
20C22×C4⋊Q8C2211yescharacteristic
21C22×C4⋊Q8C2211yescharacteristic
22C22×#124C2211yescharacteristic
23C22×#124C2211yescharacteristic
24C22×C22⋊Q8—21no—
25C22×C4×Q8C2211yescharacteristic
26C22×C4×D4C2211yescharacteristic
27C2×#489—28no—
28C2×#489C2218yescomplemented
29C2×#461—28no—
30C2×#461C2218yescomplemented
31C22×#107C2211yescharacteristic
32C22×C4⋊C8C2211yescharacteristic
33C22×#103C2211yescharacteristic
34C22×#103C2211yescharacteristic
35C22×#103C2211yescharacteristic
36C22×#103C2211yescharacteristic
37C22×#103C2211yescharacteristic
38C22×#103C2211yescharacteristic
39C22×#102C2211yescharacteristic
40C22×#102C2211yescharacteristic
41C22×#102C2211yescharacteristic
42C22×#102C2211yescharacteristic
43C22×#97C2211yescharacteristic
44#2545—24no—
45#2545C2218yescomplemented
46#2452—24no—
47#2452C2218yescomplemented
48C2×#396—21no—
49C2×#396—21no—
50C2×#396—21no—
51C2×#393—21no—
52C2×#391C2211yescharacteristic
53C2×#390C2211yescharacteristic
54C2×#390C2211yescharacteristic
55C2×#390C2211yescharacteristic
56C2×#389C2211yescharacteristic
57C2×#389C2211yescharacteristic
58C2×#388—21no—
59C2×#388—21no—
60C2×#385—21no—
61C2×C4×C4⋊C4C2211yescharacteristic
62#2067C2218yescomplemented
63#2043C2218yescomplemented
64#2042C2218yescomplemented
65#2024C2218yescomplemented
66#2012C2218yes—
67#2012C2218yes—
68#1973C2218yescomplemented
69#1917C2218yescomplemented
70#1880C2218yescomplemented
71#1879C2218yes—
72#1863C2218yescomplemented
73C2×#340C2211yescharacteristic
74C2×#340C2211yescharacteristic
75C2×#336C2211yescharacteristic
76C2×#336C2211yescharacteristic
77C2×#336C2211yescharacteristic
78C2×#336C2211yescharacteristic
79C23×Q8—21no—
80C23×Q8C2311yescharacteristic
81C23×Q8C2311yescharacteristic
82C23×D4C2311yescharacteristic
83C23×D4C2311yescharacteristic
84C24×C4—21no—
85C22×SD16—24no—
86C22×SD16—24no—
87C22×SD16—24no—
88C22×SD16—24no—
89C22×SD16—42no—
90C22×SD16—42no—
91C22×SD16C2314yes—
92C22×SD16C2314yes—
93C22×D8—24no—
94C22×D8—42no—
95C22×D8—42no—
96C22×D8C2314yes—
97C23×C8C2311yescharacteristic
98C23×C8C2311yescharacteristic
99C23×C8C2311yescharacteristic
100C23×C8C2311yescharacteristic
101C2×C4⋊Q8—24no—
102C2×C4⋊Q8—24no—
103C2×C4⋊Q8—22no—
104C2×C4⋊Q8—22no—
105C2×C4⋊Q8—42no—
106C2×C4⋊Q8—42no—
107C2×C4⋊Q8C2314yes—
108C2×C4⋊Q8C2314yes—
109C2×#124—24no—
110C2×#124—22no—
111C2×#124—22no—
112C2×#124—42no—
113C2×#124—42no—
114C2×#124—42no—
115C2×#124C2314yes—
116C2×#124C2314yes—
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⋊C4D411yescharacteristic
134C22×C4⋊C4D411yescharacteristic
135C22×C4⋊C4C2311yescharacteristic
136C22×C4⋊C4C2311yescharacteristic
137C22×C4⋊C4C2311yescharacteristic
138C22×C4⋊C4C2311yescharacteristic
139C22×C22⋊C4—21no—
140C22×C22⋊C4—21no—
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⋊C4—21no—
150C22×C42—21no—
151C22×C42C2311yescharacteristic
152C22×C42C2311yescharacteristic
153C22×C42C2311yescharacteristic
154#489—232no—
155#461—232no—
156C2×#107—42no—
157C2×#107C2314yes—
158C2×C4⋊C8—24no—
159C2×C4⋊C8C2314yes—
160C2×#103—24no—
161C2×#103—24no—
162C2×#103—42no—
163C2×#103—42no—
164C2×#103—42no—
165C2×#103D418yes—
166C2×#103C2314yes—
167C2×#103C2314yes—
168C2×#103C2314yes—
169C2×#103C2314yes—
170C2×#103C2314yes—
171C2×#103C2314yes—
172C2×#102—24no—
173C2×#102—24no—
174C2×#102—42no—
175C2×#102—42no—
176C2×#102C2314yes—
177C2×#102C2314yes—
178C2×#102C2314yes—
179C2×#102C2314yes—
180C2×#97—24no—
181C2×#97C2314yes—
182#396—28no—
183#396—28no—
184#396—28no—
185#393—28no—
186#391—22no—
187#391C2314yes—
188#390—22no—
189#390—22no—
190#390—22no—
191#390C2314yes—
192#390C2314yes—
193#390C2314yes—
194#389—22no—
195#389—22no—
196#389C2314yes—
197#389C2314yes—
198#388—28no—
199#388—28no—
200#385—28no—
201C4×C4⋊C4D414yes—
202C4×C4⋊C4C2314yes—
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—
216C25—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—44no—
232C22×Q8—44no—
233C22×Q8—82no—
234C22×Q8C2×D414yes—
235C22×Q8C2412yes—
236C22×Q8C2412yes—
237C22×D4—22no—
238C22×D4—21no—
239C22×D4—22no—
240C22×D4—21no—
241C22×D4—22no—
242C22×D4—22no—
243C22×D4—22no—
244C22×D4—22no—
245C22×D4—22no—
246C22×D4—22no—
247C22×D4—22no—
248C22×D4—22no—
249C22×D4—22no—
250C22×D4#4114yes—
251C22×D4C2412yes—
252C22×D4C2412yes—
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—44no—
275C2×SD16—44no—
276C2×SD16—416no—
277C2×SD16—416no—
278C2×D8—28no—
279C2×D8—44no—
280C2×D8—44no—
281C2×D8—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—44no—
301C4⋊Q8—48no—
302C4⋊Q8—44no—
303C4⋊Q8—48no—
304#124—28no—
305#124—44no—
306#124—44no—
307#124—44no—
308#124—48no—
309#124—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—21no—
333C2×C4⋊C4—21no—
334C2×C4⋊C4—21no—
335C2×C4⋊C4—42no—
336C2×C4⋊C4—44no—
337C2×C4⋊C4—44no—
338C2×C4⋊C4—44no—
339C2×C4⋊C4—44no—
340C2×C4⋊C4—44no—
341C2×C4⋊C4—44no—
342C2×C4⋊C4C2×D414yes—
343C2×C4⋊C4C2×D414yes—
344C2×C4⋊C4C2×D414yes—
345C2×C4⋊C4C2412yes—
346C2×C4⋊C4C2412yes—
347C2×C4⋊C4C2412yes—
348C2×C4⋊C4C2412yes—
349C2×C22⋊C4—24no—
350C2×C22⋊C4—24no—
351C2×C22⋊C4—24no—
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—44no—
361C2×C22⋊C4—44no—
362C2×C22⋊C4—44no—
363C2×C22⋊C4—44no—
364C2×C22⋊C4—44no—
365C2×C22⋊C4—44no—
366C2×C22⋊C4—44no—
367C2×C22⋊C4—44no—
368C2×C22⋊C4—44no—
369C2×C22⋊C4—44no—
370C2×C22⋊C4—82no—
371C2×C42—22no—
372C2×C42—22no—
373C2×C42—22no—
374C2×C42—22no—
375C2×C42—22no—
376C2×C42—22no—
377C2×C42—24no—
378C2×C42—44no—
379C2×C42C2×D412yes—
380C2×C42C2×D412yes—
381C2×C42C2×D412yes—
382C2×C42C2412yes—
383C2×C42C2412yes—
384C2×C42C2412yes—
385#107—44no—
386C4⋊C8—28no—
387#103—28no—
388#103—28no—
389#103—44no—
390#103—44no—
391#103—44no—
392#103C2×D4116yes—
393#102—28no—
394#102—28no—
395#102—44no—
396#102—44no—
397#97—28no—
398#95—24no—
399#95—24no—
400#95—24no—
401#95—24no—
402#95C2×D414yes—
403#95C2×D414yes—
404C24—24no—
405C24—22no—
406C24—22no—
407C24—42no—
408C24—42no—
409C24—42no—
410C24—42no—
411C24—42no—
412C24—42no—
413C24—42no—
414C24—42no—
415C24—42no—
416C24—42no—
417C24—42no—
418C24—42no—
419C24—42no—
420C24C22×D411yescharacteristic
421C2×Q8—24no—
422C2×Q8—22no—
423C2×Q8—28no—
424C2×Q8—28no—
425C2×Q8—22no—
426C2×Q8—22no—
427C2×Q8—22no—
428C2×Q8—22no—
429C2×Q8—22no—
430C2×Q8—22no—
431C2×Q8—22no—
432C2×Q8—22no—
433C2×Q8—22no—
434C2×Q8—22no—
435C2×Q8—48no—
436C2×Q8—48no—
437C2×Q8—42no—
438C2×Q8—42no—
439C2×Q8—44no—
440C2×Q8—42no—
441C2×Q8—42no—
442C2×Q8—42no—
443C2×Q8—44no—
444C2×Q8—44no—
445C2×Q8—44no—
446C2×Q8—44no—
447C2×Q8—44no—
448C2×Q8—84no—
449C2×Q8—816no—
450C2×Q8C22×D414yes—
451C2×D4—28no—
452C2×D4—28no—
453C2×D4—24no—
454C2×D4—22no—
455C2×D4—22no—
456C2×D4—22no—
457C2×D4—22no—
458C2×D4—22no—
459C2×D4—22no—
460C2×D4—22no—
461C2×D4—22no—
462C2×D4—22no—
463C2×D4—22no—
464C2×D4—22no—
465C2×D4—42no—
466C2×D4—42no—
467C2×D4—44no—
468C2×D4—44no—
469C2×D4—44no—
470C2×D4—42no—
471C2×D4—42no—
472C2×D4—44no—
473C2×D4—42no—
474C2×D4—44no—
475C2×D4—44no—
476C2×D4C2×#4114yes—
477C22×C4—22no—
478C22×C4—22no—
479C22×C4—22no—
480C22×C4—22no—
481C22×C4—22no—
482C22×C4—22no—
483C22×C4—22no—
484C22×C4—24no—
485C22×C4—24no—
486C22×C4—22no—
487C22×C4—22no—
488C22×C4—22no—
489C22×C4—22no—
490C22×C4—22no—
491C22×C4—22no—
492C22×C4—22no—
493C22×C4—22no—
494C22×C4—22no—
495C22×C4—22no—
496C22×C4—22no—
497C22×C4—22no—
498C22×C4—22no—
499C22×C4—22no—
500C22×C4—22no—
501C22×C4—22no—
502C22×C4—48no—
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—42no—
513C22×C4—42no—
514C22×C4—42no—
515C22×C4—42no—
516C22×C4—42no—
517C22×C4—42no—
518C22×C4—42no—
519C22×C4—48no—
520C22×C4—84no—
521C22×C4—816no—
522C22×C4AGL(1,ℤ/8)14yes—
523C22×C4C22×D412yes—
524C22×C4C22×D412yes—
525C22×C4C22×D412yes—
526C22×C4C22×D412yes—
527C22×C4C22×D412yes—
528C22×C4C22×D412yes—
529C22×C4C22×D411yescharacteristic
530C22×C4C22×D412yes—
531C22×C4C2×#4112yes—
532C22×C4H(5,𝔽2)12yes—
533C22×C4H(5,𝔽2)12yes—
534C22×C4H(5,𝔽2)12yes—
535C22×C42−1+412yes—
536C22×C4C2511yescharacteristic
537SD16—416no—
538SD16—416no—
539D8—416no—
540C2×C8—28no—
541C2×C8—22no—
542C2×C8—22no—
543C2×C8—22no—
544C2×C8—22no—
545C2×C8—22no—
546C2×C8—22no—
547C2×C8—22no—
548C2×C8—22no—
549C2×C8—22no—
550C2×C8—22no—
551C2×C8—22no—
552C2×C8—44no—
553C2×C8—44no—
554C2×C8—44no—
555C2×C8C22×D414yes—
556C4⋊C4—24no—
557C4⋊C4—28no—
558C4⋊C4—22no—
559C4⋊C4—22no—
560C4⋊C4—22no—
561C4⋊C4—22no—
562C4⋊C4—22no—
563C4⋊C4—22no—
564C4⋊C4—22no—
565C4⋊C4—44no—
566C4⋊C4—48no—
567C4⋊C4—48no—
568C4⋊C4—48no—
569C4⋊C4—48no—
570C4⋊C4—48no—
571C4⋊C4—42no—
572C4⋊C4—42no—
573C4⋊C4—42no—
574C4⋊C4—48no—
575C4⋊C4C22×D414yes—
576C22⋊C4—48no—
577C22⋊C4—48no—
578C22⋊C4—48no—
579C22⋊C4—48no—
580C22⋊C4—48no—
581C22⋊C4—48no—
582C22⋊C4—48no—
583C22⋊C4—48no—
584C22⋊C4—48no—
585C22⋊C4—48no—
586C22⋊C4—84no—
587C42—24no—
588C42—24no—
589C42—24no—
590C42—22no—
591C42—22no—
592C42—22no—
593C42—22no—
594C42—22no—
595C42—22no—
596C42—48no—
597C23—24no—
598C23—48no—
599C23—48no—
600C23—48no—
601C23—42no—
602C23—42no—
603C23—42no—
604C23—42no—
605C23—42no—
606C23—42no—
607C23—42no—
608C23—42no—
609C23—42no—
610C23—42no—
611C23—42no—
612C23—42no—
613C23—42no—
614C23—84no—
615C23—84no—
616C23—84no—
617C23—84no—
618C23—84no—
619C23—84no—
620C23—84no—
621C23—84no—
622C23—84no—
623C23—84no—
624C23—84no—
625C23#53512yes—
626C23D4212yes—
627C23#54812yes—
628C23C2×AGL(1,ℤ/8)12yes—
629C23#57512yes—
630C23#57712yes—
631C23#57812yes—
632C23C23×D411yescharacteristic
633Q8—24no—
634Q8—24no—
635Q8—48no—
636Q8—42no—
637Q8—42no—
638Q8—42no—
639Q8—42no—
640Q8—42no—
641Q8—42no—
642Q8—816no—
643Q8—84no—
644D4—24no—
645D4—24no—
646D4—48no—
647D4—42no—
648D4—42no—
649D4—42no—
650D4—42no—
651D4—42no—
652D4—42no—
653D4—84no—
654C2×C4—22no—
655C2×C4—28no—
656C2×C4—22no—
657C2×C4—22no—
658C2×C4—22no—
659C2×C4—22no—
660C2×C4—22no—
661C2×C4—22no—
662C2×C4—24no—
663C2×C4—24no—
664C2×C4—22no—
665C2×C4—22no—
666C2×C4—22no—
667C2×C4—22no—
668C2×C4—22no—
669C2×C4—22no—
670C2×C4—22no—
671C2×C4—22no—
672C2×C4—22no—
673C2×C4—22no—
674C2×C4—48no—
675C2×C4—42no—
676C2×C4—42no—
677C2×C4—44no—
678C2×C4—44no—
679C2×C4—44no—
680C2×C4—48no—
681C2×C4—44no—
682C2×C4—44no—
683C2×C4—42no—
684C2×C4—42no—
685C2×C4—42no—
686C2×C4—42no—
687C2×C4—42no—
688C2×C4—42no—
689C2×C4—42no—
690C2×C4—42no—
691C2×C4—42no—
692C2×C4—42no—
693C2×C4—42no—
694C2×C4—42no—
695C2×C4—42no—
696C2×C4—42no—
697C2×C4—816no—
698C2×C4—84no—
699C2×C4—84no—
700C2×C4—84no—
701C2×C4—84no—
702C2×C4#53512yes—
703C2×C4#53714yes—
704C2×C4#53814yes—
705C2×C4D4212yes—
706C2×C4#54614yes—
707C2×C4#54812yes—
708C2×C4#56214yes—
709C2×C4C2×AGL(1,ℤ/8)14yes—
710C2×C4C23×D411yescharacteristic
711C2×C4C22×#4111yescharacteristic
712C2×C4C2×H(5,𝔽2)11yescharacteristic
713C2×C4C2×H(5,𝔽2)11yescharacteristic
714C2×C4C2×H(5,𝔽2)11yescharacteristic
715C2×C4C2×2−1+411yescharacteristic
716C8—24no—
717C8—42no—
718C8—42no—
719C8—42no—
720C22—44no—
721C22—44no—
722C22—44no—
723C22—82no—
724C22—82no—
725C22—82no—
726C22—82no—
727C22—816no—
728C22—82no—
729C22—82no—
730C22—82no—
731C22—82no—
732C22—82no—
733C22—82no—
734C22—82no—
735C22—168no—
736C22#267614yes—
737C22#321414yes—
738C22#322514yes—
739C22#326514yes—
740C22#327714yes—
741C22#336714yes—
742C22#337614yes—
743C22C2×#53511yescharacteristic
744C22C2×D4211yescharacteristic
745C22C2×#54811yescharacteristic
746C22C22×AGL(1,ℤ/8)11yescharacteristic
747C22C2×#57511yescharacteristic
748C22C2×#57711yescharacteristic
749C22C2×#57811yescharacteristic
750C4—24no—
751C4—42no—
752C4—44no—
753C4—42no—
754C4—42no—
755C4—42no—
756C4—42no—
757C4—44no—
758C4—82no—
759C4—82no—
760C4—82no—
761C4—82no—
762C4#267614yes—
763C4C2×#53711yescharacteristic
764C4C2×#53811yescharacteristic
765C4C2×#54611yescharacteristic
766C4C2×#56211yescharacteristic
767C2—84no—
768C2—162no—
769C2#3090218yesdirect product factor
770C2C2×#267611yescharacteristic
771C2C2×#321411yescharacteristic
772C2C2×#322511yescharacteristic
773C2C2×#326511yescharacteristic
774C2C2×#327711yescharacteristic
775C2C2×#336711yescharacteristic
776C2C2×#337611yescharacteristic
subgroupG/H
center, socleC24C22×D4
commutator, Frattini, cosocleC22×C4C25
prime radicalC23×D8C22
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×#489C2semidirect
2. C22×#461C2semidirect
3. C2×#2545C2semidirect
4. C2×#2452C2semidirect
5. #30902C2direct (N × H)
6. C2×#2067C2semidirect
7. C2×#2043C2semidirect
8. C2×#2042C2semidirect
9. C2×#2024C2semidirect
12. C2×#1973C2semidirect
13. C2×#1917C2semidirect
14. C2×#1880C2semidirect
16. C2×#1863C2semidirect
28. C2×#489C22semidirect
30. C2×#461C22semidirect
45. #2545C22semidirect
47. #2452C22semidirect
62. #2067C22semidirect
63. #2043C22semidirect
64. #2042C22semidirect
65. #2024C22semidirect
68. #1973C22semidirect
69. #1917C22semidirect
70. #1880C22semidirect
72. #1863C22semidirect
769. C2#30902direct (N × H)

Maximal subgroups

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

subgroupindex
C22×#4892
C22×#4612
C2×#25452
C2×#24522
#309022
C2×#20672
C2×#20432
C2×#20422
C2×#20242
C2×#20122
C2×#19732
C2×#19172
C2×#18802
C2×#18792
C2×#18632