Finite Group Databasebeta

← C2×#30006 #6433331

Subgroups — C2×#30006 #6433331

Order 512.

2596 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×#2854C211yesmaximal, characteristic, complemented
2C2×C4×#121C211yesmaximal, characteristic, complemented
3#30006C2116yesmaximal, direct product factor
4C2×#2086C211yesmaximal, characteristic, complemented
5C2×#2075C211yesmaximal, characteristic, complemented
6C2×#2067C211yesmaximal, characteristic, complemented
7C2×#2067C211yesmaximal, characteristic, complemented
8C2×#2054C211yesmaximal, characteristic, complemented
9C2×#2033C211yesmaximal, characteristic, complemented
10C2×#2033C211yesmaximal, characteristic, complemented
11C2×#1999C211yesmaximal, characteristic
12C2×#1925C211yesmaximal, characteristic, complemented
13C2×#1918C211yesmaximal, characteristic, complemented
14C2×#1879C211yesmaximal, characteristic, complemented
15C2×#1862C211yesmaximal, characteristic, complemented
16C2×#1797C211yesmaximal, characteristic, complemented
17C23×D8C2211yescharacteristic
18C22×#123—21no—
19C22×#121C2211yescharacteristic
20C22×#121C2211yescharacteristic
21C22×C4×D4—21no—
22C22×C4×D4C2211yescharacteristic
23C23×C42C2211yescharacteristic
24C22×#107C2211yescharacteristic
25C22×#107C2211yescharacteristic
26C22×#107C2211yescharacteristic
27C22×C4⋊C8C2211yescharacteristic
28C22×C4⋊C8C2211yescharacteristic
29C22×#102C2211yescharacteristic
30C22×#102C2211yescharacteristic
31C22×#102C2211yescharacteristic
32C22×#102C2211yescharacteristic
33C22×#102C2211yescharacteristic
34C22×#102C2211yescharacteristic
35C22×C22⋊C8C2211yescharacteristic
36C22×C22⋊C8C2211yescharacteristic
37#2854—24no—
38#2854C2218yescomplemented
39C4×#121—24no—
40C4×#121C2218yescomplemented
41C2×#390C2211yescharacteristic
42C2×#390C2211yescharacteristic
43C2×#390C2211yescharacteristic
44C2×#389C2211yescharacteristic
45C2×#389C2211yescharacteristic
46C2×#389C2211yescharacteristic
47C2×#388—21no—
48C2×#388—21no—
49C2×#388—21no—
50C2×#386—21no—
51C2×#386—21no—
52C2×#380C2211yescharacteristic
53C2×#380C2211yescharacteristic
54C2×C4×C4⋊C4C2211yescharacteristic
55C2×C4×C22⋊C4—21no—
56#2086C2218yescomplemented
57#2075C2218yescomplemented
58#2067C2218yescomplemented
59#2067C2218yescomplemented
60#2054C2218yescomplemented
61#2033C2218yescomplemented
62#2033C2218yescomplemented
63#1999C2218yes—
64#1925C2218yescomplemented
65#1918C2218yescomplemented
66#1879C2218yescomplemented
67#1862C2218yescomplemented
68#1797C2218yescomplemented
69C2×#340C2211yescharacteristic
70C2×#340C2211yescharacteristic
71C2×#340C2211yescharacteristic
72C2×#340C2211yescharacteristic
73C2×#340C2211yescharacteristic
74C2×#340C2211yescharacteristic
75C2×#336C2211yescharacteristic
76C2×#336C2211yescharacteristic
77C23×D4—21no—
78C23×D4—21no—
79C23×D4C2311yescharacteristic
80C23×D4C2311yescharacteristic
81C24×C4—21no—
82C24×C4D411yescharacteristic
83C24×C4D411yescharacteristic
84C24×C4C2311yescharacteristic
85C22×D8—24no—
86C22×D8—42no—
87C22×D8—42no—
88C22×D8C2314yes—
89C23×C8C2311yescharacteristic
90C23×C8C2311yescharacteristic
91C23×C8C2311yescharacteristic
92C23×C8C2311yescharacteristic
93C2×#123—28no—
94C2×#123—48no—
95C2×#121—24no—
96C2×#121—22no—
97C2×#121—22no—
98C2×#121—24no—
99C2×#121—42no—
100C2×#121—42no—
101C2×#121C2314yes—
102C2×#121C2314yes—
103C2×C4×D4—28no—
104C2×C4×D4—22no—
105C2×C4×D4—42no—
106C2×C4×D4—42no—
107C2×C4×D4—48no—
108C2×C4×D4C2314yes—
109C22×C4⋊C4—21no—
110C22×C4⋊C4—21no—
111C22×C4⋊C4—21no—
112C22×C4⋊C4C2311yescharacteristic
113C22×C4⋊C4C2311yescharacteristic
114C22×C4⋊C4C2311yescharacteristic
115C22×C4⋊C4C2311yescharacteristic
116C22×C4⋊C4C2311yescharacteristic
117C22×C4⋊C4C2311yescharacteristic
118C22×C22⋊C4—21no—
119C22×C22⋊C4—21no—
120C22×C22⋊C4—21no—
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×C42—21no—
130C22×C42—42no—
131C22×C42—42no—
132C22×C42D414yes—
133C22×C42D411yescharacteristic
134C22×C42D411yescharacteristic
135C22×C42C2311yescharacteristic
136C22×C42C2311yescharacteristic
137C22×C42C2314yes—
138C2×#107—24no—
139C2×#107—42no—
140C2×#107—42no—
141C2×#107C2314yes—
142C2×#107C2314yes—
143C2×#107C2314yes—
144C2×C4⋊C8—42no—
145C2×C4⋊C8—42no—
146C2×C4⋊C8C2314yes—
147C2×C4⋊C8C2314yes—
148C2×#102—24no—
149C2×#102—24no—
150C2×#102—42no—
151C2×#102—42no—
152C2×#102—42no—
153C2×#102—42no—
154C2×#102C2314yes—
155C2×#102C2314yes—
156C2×#102C2314yes—
157C2×#102C2314yes—
158C2×#102C2314yes—
159C2×#102C2314yes—
160C2×C22⋊C8—42no—
161C2×C22⋊C8—42no—
162C2×C22⋊C8C2314yes—
163C2×C22⋊C8C2314yes—
164#390—22no—
165#390—22no—
166#390—22no—
167#390C2314yes—
168#390C2314yes—
169#390C2314yes—
170#389—22no—
171#389—22no—
172#389—22no—
173#389C2314yes—
174#389C2314yes—
175#389C2314yes—
176#388—28no—
177#388—28no—
178#388—28no—
179#386—28no—
180#386—28no—
181#380—22no—
182#380—22no—
183#380C2314yes—
184#380C2314yes—
185C4×C4⋊C4—22no—
186C4×C4⋊C4C2314yes—
187C4×C22⋊C4—28no—
188C2×#95—21no—
189C2×#95—21no—
190C2×#95—21no—
191C2×#95—21no—
192C2×#95—21no—
193C2×#95—21no—
194#340C2314yes—
195#340C2314yes—
196#340C2314yes—
197#340C2314yes—
198#340C2314yes—
199#340C2314yes—
200#336C2314yes—
201#336C2314yes—
202C25—21no—
203C25—21no—
204C25C2×D411yescharacteristic
205C22×D4—28no—
206C22×D4—24no—
207C22×D4—24no—
208C22×D4—21no—
209C22×D4—21no—
210C22×D4—22no—
211C22×D4—22no—
212C22×D4—22no—
213C22×D4—22no—
214C22×D4—22no—
215C22×D4—22no—
216C22×D4—22no—
217C22×D4—22no—
218C22×D4—22no—
219C22×D4—22no—
220C22×D4—22no—
221C22×D4—44no—
222C22×D4—44no—
223C22×D4—44no—
224C22×D4—44no—
225C22×D4—44no—
226C22×D4#4114yes—
227C22×D4C2412yes—
228C22×D4C2412yes—
229C23×C4—21no—
230C23×C4—22no—
231C23×C4—22no—
232C23×C4—22no—
233C23×C4—22no—
234C23×C4—22no—
235C23×C4—22no—
236C23×C4—21no—
237C23×C4—21no—
238C23×C4—21no—
239C23×C4—21no—
240C23×C4—21no—
241C23×C4—24no—
242C23×C4—42no—
243C23×C4—42no—
244C23×C4—42no—
245C23×C4—42no—
246C23×C4—42no—
247C23×C4—44no—
248C23×C4—44no—
249C23×C4—44no—
250C23×C4D818yescomplemented
251C23×C4C2×D412yes—
252C23×C4C2×D411yescharacteristic
253C23×C4C2×D411yescharacteristic
254C23×C4C2×D411yescharacteristic
255C23×C4C2×D411yescharacteristic
256C23×C4C2×D411yescharacteristic
257C23×C4C2×D414yes—
258C23×C4C2×D414yes—
259C23×C4C2412yes—
260C23×C4C2411yescharacteristic
261C2×D8—28no—
262C2×D8—44no—
263C2×D8—44no—
264C2×D8—416no—
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—22no—
274C22×C8—22no—
275C22×C8—22no—
276C22×C8—22no—
277C22×C8C2412yes—
278C22×C8C2412yes—
279C22×C8C2412yes—
280C22×C8C2412yes—
281#123—432no—
282#121—216no—
283#121—28no—
284#121—28no—
285#121—44no—
286#121—44no—
287#121—48no—
288C4×D4—44no—
289C4×D4—44no—
290C4×D4—48no—
291C4×D4—432no—
292C2×C4⋊C4—21no—
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—22no—
303C2×C4⋊C4—22no—
304C2×C4⋊C4—24no—
305C2×C4⋊C4—24no—
306C2×C4⋊C4—24no—
307C2×C4⋊C4—21no—
308C2×C4⋊C4—21no—
309C2×C4⋊C4—21no—
310C2×C4⋊C4—21no—
311C2×C4⋊C4—21no—
312C2×C4⋊C4—44no—
313C2×C4⋊C4—44no—
314C2×C4⋊C4—44no—
315C2×C4⋊C4#4114yes—
316C2×C4⋊C4C2412yes—
317C2×C4⋊C4C2412yes—
318C2×C4⋊C4C2412yes—
319C2×C4⋊C4C2412yes—
320C2×C4⋊C4C2412yes—
321C2×C4⋊C4C2412yes—
322C2×C22⋊C4—28no—
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—24no—
331C2×C22⋊C4—24no—
332C2×C22⋊C4—24no—
333C2×C22⋊C4—24no—
334C2×C22⋊C4—44no—
335C2×C22⋊C4—44no—
336C2×C22⋊C4—44no—
337C2×C22⋊C4—44no—
338C2×C22⋊C4—44no—
339C2×C22⋊C4—44no—
340C2×C22⋊C4—44no—
341C2×C22⋊C4—44no—
342C2×C22⋊C4—44no—
343C2×C22⋊C4—44no—
344C2×C42—22no—
345C2×C42—22no—
346C2×C42—22no—
347C2×C42—22no—
348C2×C42—24no—
349C2×C42—48no—
350C2×C42—44no—
351C2×C42—44no—
352C2×C42—42no—
353C2×C42—42no—
354C2×C42—44no—
355C2×C42C2×D412yes—
356C2×C42C2×D412yes—
357C2×C42C2×D414yes—
358C2×C42C2×D414yes—
359C2×C42C2412yes—
360C2×C42C2412yes—
361#107—28no—
362#107—44no—
363#107—44no—
364C4⋊C8—44no—
365C4⋊C8—44no—
366#102—28no—
367#102—28no—
368#102—44no—
369#102—44no—
370#102—44no—
371#102—44no—
372C22⋊C8—44no—
373C22⋊C8—44no—
374#95—24no—
375#95—24no—
376#95—24no—
377#95—24no—
378#95—24no—
379#95—24no—
380C24—22no—
381C24—22no—
382C24—22no—
383C24—22no—
384C24—22no—
385C24—22no—
386C24—24no—
387C24—22no—
388C24—22no—
389C24—42no—
390C24—42no—
391C24—42no—
392C24—42no—
393C24—42no—
394C24—42no—
395C24—42no—
396C24—42no—
397C24—42no—
398C24—42no—
399C24—42no—
400C24—42no—
401C24—42no—
402C24C2×D814yes—
403C24C22×D412yes—
404C24C22×D411yescharacteristic
405C2×D4—216no—
406C2×D4—24no—
407C2×D4—28no—
408C2×D4—28no—
409C2×D4—22no—
410C2×D4—22no—
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—432no—
421C2×D4—48no—
422C2×D4—48no—
423C2×D4—48no—
424C2×D4—48no—
425C2×D4—48no—
426C2×D4—42no—
427C2×D4—42no—
428C2×D4—42no—
429C2×D4—42no—
430C2×D4—42no—
431C2×D4—44no—
432C2×D4—44no—
433C2×D4—44no—
434C2×D4—44no—
435C2×D4—44no—
436C2×D4—44no—
437C2×D4—816no—
438C2×D4C2×#4114yes—
439C22×C4—22no—
440C22×C4—22no—
441C22×C4—22no—
442C22×C4—22no—
443C22×C4—22no—
444C22×C4—24no—
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—22no—
454C22×C4—24no—
455C22×C4—24no—
456C22×C4—24no—
457C22×C4—22no—
458C22×C4—22no—
459C22×C4—22no—
460C22×C4—22no—
461C22×C4—22no—
462C22×C4—22no—
463C22×C4—22no—
464C22×C4—22no—
465C22×C4—22no—
466C22×C4—22no—
467C22×C4—22no—
468C22×C4—44no—
469C22×C4—44no—
470C22×C4—416no—
471C22×C4—44no—
472C22×C4—44no—
473C22×C4—44no—
474C22×C4—48no—
475C22×C4—48no—
476C22×C4—416no—
477C22×C4—42no—
478C22×C4—42no—
479C22×C4—44no—
480C22×C4—44no—
481C22×C4—44no—
482C22×C4—44no—
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—42no—
492C22×C4—42no—
493C22×C4—42no—
494C22×C4—42no—
495C22×C4—42no—
496C22×C4—42no—
497C22×C4—42no—
498C22×C4—48no—
499C22×C4—816no—
500C22×C4C2×D814yes—
501C22×C4C2×D814yes—
502C22×C4C2×D8116yescomplemented
503C22×C4C22×D412yes—
504C22×C4C22×D412yes—
505C22×C4C22×D412yes—
506C22×C4C22×D412yes—
507C22×C4C22×D412yes—
508C22×C4C22×D411yescharacteristic
509C22×C4C2×#4112yes—
510C22×C4C2×#4112yes—
511C22×C4H(5,𝔽2)12yes—
512C22×C4H(5,𝔽2)12yes—
513C22×C4H(5,𝔽2)12yes—
514C22×C42−1+412yes—
515C22×C4C2511yescharacteristic
516D8—416no—
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—22no—
528C2×C8—22no—
529C2×C8—44no—
530C2×C8—44no—
531C2×C8—44no—
532C2×C8—44no—
533C4⋊C4—24no—
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—22no—
544C4⋊C4—22no—
545C4⋊C4—42no—
546C4⋊C4—42no—
547C4⋊C4—42no—
548C4⋊C4—42no—
549C4⋊C4—42no—
550C4⋊C4—48no—
551C4⋊C4—48no—
552C4⋊C4—48no—
553C4⋊C4C2×#4114yes—
554C22⋊C4—216no—
555C22⋊C4—48no—
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—
565C42—24no—
566C42—24no—
567C42—22no—
568C42—22no—
569C42—22no—
570C42—22no—
571C42—44no—
572C42—44no—
573C42—48no—
574C23—28no—
575C23—22no—
576C23—28no—
577C23—22no—
578C23—22no—
579C23—28no—
580C23—22no—
581C23—22no—
582C23—22no—
583C23—24no—
584C23—44no—
585C23—44no—
586C23—44no—
587C23—44no—
588C23—48no—
589C23—48no—
590C23—48no—
591C23—42no—
592C23—42no—
593C23—42no—
594C23—42no—
595C23—42no—
596C23—42no—
597C23—42no—
598C23—42no—
599C23—42no—
600C23—42no—
601C23—42no—
602C23—42no—
603C23—42no—
604C23—84no—
605C23—84no—
606C23—84no—
607C23—84no—
608C23—84no—
609C23—84no—
610C23—84no—
611C23—84no—
612C23—84no—
613C23—84no—
614C23—84no—
615C23#52512yes—
616C23#53412yes—
617C23#53712yes—
618C23C22×D814yes—
619C23C22×D812yes—
620C23#57512yes—
621C23#57512yes—
622C23#57512yes—
623C23C23×D411yescharacteristic
624D4—24no—
625D4—24no—
626D4—432no—
627D4—48no—
628D4—42no—
629D4—42no—
630D4—42no—
631D4—42no—
632D4—42no—
633D4—42no—
634D4—816no—
635D4—84no—
636C2×C4—28no—
637C2×C4—28no—
638C2×C4—22no—
639C2×C4—22no—
640C2×C4—22no—
641C2×C4—22no—
642C2×C4—22no—
643C2×C4—24no—
644C2×C4—22no—
645C2×C4—22no—
646C2×C4—22no—
647C2×C4—22no—
648C2×C4—22no—
649C2×C4—22no—
650C2×C4—22no—
651C2×C4—22no—
652C2×C4—416no—
653C2×C4—416no—
654C2×C4—48no—
655C2×C4—44no—
656C2×C4—44no—
657C2×C4—44no—
658C2×C4—42no—
659C2×C4—42no—
660C2×C4—48no—
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—42no—
676C2×C4—42no—
677C2×C4—42no—
678C2×C4—42no—
679C2×C4—42no—
680C2×C4—816no—
681C2×C4—84no—
682C2×C4—84no—
683C2×C4—84no—
684C2×C4—84no—
685C2×C4—84no—
686C2×C4#52512yes—
687C2×C4#53412yes—
688C2×C4#53712yes—
689C2×C4#53814yes—
690C2×C4#53914yes—
691C2×C4#54014yes—
692C2×C4#54214yes—
693C2×C4C22×D814yes—
694C2×C4C22×D814yes—
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—42no—
702C8—42no—
703C8—42no—
704C8—42no—
705C22—24no—
706C22—24no—
707C22—24no—
708C22—416no—
709C22—42no—
710C22—42no—
711C22—42no—
712C22—42no—
713C22—44no—
714C22—44no—
715C22—44no—
716C22—816no—
717C22—82no—
718C22—82no—
719C22—82no—
720C22—82no—
721C22—82no—
722C22—82no—
723C22—82no—
724C22—82no—
725C22—82no—
726C22—82no—
727C22—82no—
728C22—168no—
729C22#263014yes—
730C22#310014yes—
731C22#311114yes—
732C22#318614yes—
733C22#319714yes—
734C22#324514yes—
735C22#325614yes—
736C22C2×#52511yescharacteristic
737C22C2×#53411yescharacteristic
738C22C2×#53711yescharacteristic
739C22C23×D811yescharacteristic
740C22C2×#57511yescharacteristic
741C22C2×#57511yescharacteristic
742C22C2×#57511yescharacteristic
743C4—24no—
744C4—24no—
745C4—42no—
746C4—42no—
747C4—44no—
748C4—42no—
749C4—82no—
750C4—82no—
751C4—82no—
752C4—82no—
753C4—82no—
754C4#263014yes—
755C4C2×#53811yescharacteristic
756C4C2×#53911yescharacteristic
757C4C2×#54011yescharacteristic
758C4C2×#54211yescharacteristic
759C2—44no—
760C2—84no—
761C2—162no—
762C2#3000618yesdirect product factor
763C2C2×#263011yescharacteristic
764C2C2×#310011yescharacteristic
765C2C2×#311111yescharacteristic
766C2C2×#318611yescharacteristic
767C2C2×#319711yescharacteristic
768C2C2×#324511yescharacteristic
769C2C2×#325611yescharacteristic
subgroupG/H
center, socleC24C22×D4
commutator, Frattini, cosocleC22×C4C25
prime radicalC2×#1999C2
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C24 ◁ C23×C42 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C2×#2854C2semidirect
2. C2×C4×#121C2semidirect
3. #30006C2direct (N × H)
4. C2×#2086C2semidirect
5. C2×#2075C2semidirect
6. C2×#2067C2semidirect
7. C2×#2067C2semidirect
8. C2×#2054C2semidirect
9. C2×#2033C2semidirect
10. C2×#2033C2semidirect
12. C2×#1925C2semidirect
13. C2×#1918C2semidirect
14. C2×#1879C2semidirect
15. C2×#1862C2semidirect
16. C2×#1797C2semidirect
38. #2854C22semidirect
40. C4×#121C22semidirect
56. #2086C22semidirect
57. #2075C22semidirect
58. #2067C22semidirect
59. #2067C22semidirect
60. #2054C22semidirect
61. #2033C22semidirect
62. #2033C22semidirect
64. #1925C22semidirect
65. #1918C22semidirect
66. #1879C22semidirect
67. #1862C22semidirect
68. #1797C22semidirect
250. C23×C4D8semidirect
502. C22×C4C2×D8semidirect
762. C2#30006direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#28542
C2×C4×#1212
#300062
C2×#20862
C2×#20752
C2×#20672
C2×#20542
C2×#20332
C2×#19992
C2×#19252
C2×#19182
C2×#18792
C2×#18622
C2×#17972