Finite Group Databasebeta

← C2×#30742 #7501694

Subgroups — C2×#30742 #7501694

Order 512.

2512 conjugacy classes of subgroups.

The subgroup lattice has 769 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#494C211yesmaximal, characteristic, complemented
2C22×#464C211yesmaximal, characteristic
3C2×#2545C211yesmaximal, characteristic
4C2×#2446C211yesmaximal, characteristic, complemented
5#30742C2116yesmaximal, direct product factor
6C2×#2056C211yesmaximal, characteristic, complemented
7C2×#2043C211yesmaximal, characteristic, complemented
8C2×#2013C211yesmaximal, characteristic
9C2×#2015C211yesmaximal, characteristic
10C2×#2015C211yesmaximal, characteristic
11C2×#2015C211yesmaximal, characteristic
12C2×#1934C211yesmaximal, characteristic
13C2×#1916C211yesmaximal, characteristic, complemented
14C2×#1878C211yesmaximal, characteristic, complemented
15C2×#1878C211yesmaximal, characteristic, complemented
16C2×#1878C211yesmaximal, characteristic, complemented
17C23×Q16C2211yescharacteristic
18C23×Q16C2211yescharacteristic
19C23×Q16C2211yescharacteristic
20C23×Q16C2211yescharacteristic
21C23×SD16C2211yescharacteristic
22C23×SD16C2211yescharacteristic
23C22×C4⋊Q8C2211yescharacteristic
24C22×C4⋊Q8C2211yescharacteristic
25C22×#124C2211yescharacteristic
26C22×#124C2211yescharacteristic
27C22×C4×Q8C2211yescharacteristic
28C22×C4×Q8C2211yescharacteristic
29C2×#494—28no—
30C2×#494C2218yescomplemented
31C2×#464—28no—
32C2×#464C2218yes—
33C22×C4⋊C8C2211yescharacteristic
34C22×#103C2211yescharacteristic
35C22×#103C2211yescharacteristic
36C22×#103C2211yescharacteristic
37C22×#103C2211yescharacteristic
38C22×#103C2211yescharacteristic
39C22×#103C2211yescharacteristic
40C22×#102C2211yescharacteristic
41C22×#102C2211yescharacteristic
42C22×C4×C8C2211yescharacteristic
43#2545—24no—
44#2545C2218yes—
45#2446—24no—
46#2446C2218yescomplemented
47C2×#400—21no—
48C2×#398—21no—
49C2×#396—21no—
50C2×#396—21no—
51C2×#391C2211yescharacteristic
52C2×#391C2211yescharacteristic
53C2×#391C2211yescharacteristic
54C2×#391C2211yescharacteristic
55C2×#390C2211yescharacteristic
56C2×#389C2211yescharacteristic
57C2×#388—21no—
58C2×#388—21no—
59C2×#387—21no—
60C2×#387—21no—
61C2×C4×C4⋊C4C2211yescharacteristic
62#2056C2218yescomplemented
63#2043C2218yescomplemented
64#2015C2218yes—
65#2015C2218yes—
66#2015C2218yes—
67#2013C2218yes—
68#1934C2218yes—
69#1916C2218yescomplemented
70#1878C2218yescomplemented
71#1878C2218yescomplemented
72#1878C2218yescomplemented
73C2×#340C2211yescharacteristic
74C2×#340C2211yescharacteristic
75C2×#336C2211yescharacteristic
76C2×#336C2211yescharacteristic
77C2×#336C2211yescharacteristic
78C2×#336C2211yescharacteristic
79C23×Q8C2311yescharacteristic
80C23×Q8C2311yescharacteristic
81C23×Q8C2311yescharacteristic
82C23×Q8C2311yescharacteristic
83C23×D4C2311yescharacteristic
84C22×Q16—24no—
85C22×Q16—24no—
86C22×Q16—24no—
87C22×Q16—24no—
88C22×Q16—24no—
89C22×Q16—42no—
90C22×Q16—42no—
91C22×Q16—42no—
92C22×Q16—42no—
93C22×Q16—42no—
94C22×Q16—42no—
95C22×Q16D418yes—
96C22×Q16C2314yes—
97C22×Q16C2314yes—
98C22×Q16C2314yes—
99C22×Q16C2314yes—
100C22×SD16—24no—
101C22×SD16—42no—
102C22×SD16—42no—
103C22×SD16—42no—
104C22×SD16—42no—
105C22×SD16—42no—
106C22×SD16C2314yes—
107C22×SD16C2314yes—
108C23×C8C2311yescharacteristic
109C23×C8C2311yescharacteristic
110C23×C8C2311yescharacteristic
111C23×C8C2311yescharacteristic
112C2×C4⋊Q8—24no—
113C2×C4⋊Q8—24no—
114C2×C4⋊Q8—22no—
115C2×C4⋊Q8—22no—
116C2×C4⋊Q8—42no—
117C2×C4⋊Q8—42no—
118C2×C4⋊Q8C2314yes—
119C2×C4⋊Q8C2314yes—
120C2×#124—24no—
121C2×#124—22no—
122C2×#124—22no—
123C2×#124—42no—
124C2×#124—42no—
125C2×#124—42no—
126C2×#124C2314yes—
127C2×#124C2314yes—
128C2×C4×Q8—22no—
129C2×C4×Q8—22no—
130C2×C4×Q8—24no—
131C2×C4×Q8—42no—
132C2×C4×Q8—42no—
133C2×C4×Q8—42no—
134C2×C4×Q8C2314yes—
135C2×C4×Q8C2314yes—
136C22×C4⋊C4—21no—
137C22×C4⋊C4—21no—
138C22×C4⋊C4—21no—
139C22×C4⋊C4—21no—
140C22×C4⋊C4—21no—
141C22×C4⋊C4—21no—
142C22×C4⋊C4—21no—
143C22×C4⋊C4D411yescharacteristic
144C22×C4⋊C4D411yescharacteristic
145C22×C4⋊C4C2311yescharacteristic
146C22×C4⋊C4C2311yescharacteristic
147C22×C4⋊C4C2311yescharacteristic
148C22×C22⋊C4—21no—
149C22×C22⋊C4—21no—
150C22×C22⋊C4—21no—
151C22×C22⋊C4—21no—
152C22×C22⋊C4—21no—
153C22×C22⋊C4—21no—
154C22×C42—21no—
155C22×C42—21no—
156C22×C42C2311yescharacteristic
157C22×C42C2311yescharacteristic
158C22×C42C2311yescharacteristic
159#494—232no—
160#464—232no—
161C2×C4⋊C8—24no—
162C2×C4⋊C8C2314yes—
163C2×#103—24no—
164C2×#103—42no—
165C2×#103—42no—
166C2×#103—42no—
167C2×#103—42no—
168C2×#103—42no—
169C2×#103C2314yes—
170C2×#103C2314yes—
171C2×#103C2314yes—
172C2×#103C2314yes—
173C2×#103C2314yes—
174C2×#103C2314yes—
175C2×#102—24no—
176C2×#102—24no—
177C2×#102C2314yes—
178C2×#102C2314yes—
179C2×C4×C8—24no—
180C2×C4×C8C2314yes—
181#400—28no—
182#398—28no—
183#396—28no—
184#396—28no—
185#391—22no—
186#391—22no—
187#391—22no—
188#391—22no—
189#391C2314yes—
190#391C2314yes—
191#391C2314yes—
192#391C2314yes—
193#390—22no—
194#390C2314yes—
195#389—22no—
196#389C2314yes—
197#388—28no—
198#388—28no—
199#387—28no—
200#387—28no—
201C4×C4⋊C4D414yes—
202C4×C4⋊C4C2314yes—
203C2×#95—21no—
204C2×#95—21no—
205C2×#95—21no—
206C2×#95—21no—
207C2×#95—21no—
208C2×#95—21no—
209C2×#95—21no—
210C2×#95—21no—
211C2×#95—21no—
212C2×#95D411yescharacteristic
213C2×#95D411yescharacteristic
214#340C2314yes—
215#340C2314yes—
216#336C2314yes—
217#336C2314yes—
218#336C2314yes—
219#336C2314yes—
220C25—21no—
221C22×Q8—21no—
222C22×Q8—21no—
223C22×Q8—21no—
224C22×Q8—21no—
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—22no—
238C22×Q8—22no—
239C22×Q8—22no—
240C22×Q8—22no—
241C22×Q8—22no—
242C22×Q8—22no—
243C22×Q8—22no—
244C22×Q8—22no—
245C22×Q8—22no—
246C22×Q8—22no—
247C22×Q8C2×D414yes—
248C22×Q8C2×D414yes—
249C22×Q8C2412yes—
250C22×Q8C2412yes—
251C22×Q8C2412yes—
252C22×Q8C2412yes—
253C22×D4—22no—
254C22×D4—21no—
255C22×D4—22no—
256C22×D4—22no—
257C22×D4—22no—
258C22×D4—22no—
259C22×D4—22no—
260C22×D4C2412yes—
261C23×C4—21no—
262C23×C4—21no—
263C23×C4—21no—
264C23×C4—21no—
265C23×C4—21no—
266C23×C4—21no—
267C23×C4—21no—
268C23×C4C2×D411yescharacteristic
269C23×C4C2×D411yescharacteristic
270C23×C4C2×D411yescharacteristic
271C23×C4C2×D411yescharacteristic
272C23×C4C2×D411yescharacteristic
273C23×C4C2×D411yescharacteristic
274C23×C4C2411yescharacteristic
275C2×Q16—28no—
276C2×Q16—28no—
277C2×Q16—28no—
278C2×Q16—28no—
279C2×Q16—28no—
280C2×Q16—416no—
281C2×Q16—44no—
282C2×Q16—44no—
283C2×Q16—44no—
284C2×Q16—44no—
285C2×Q16—44no—
286C2×Q16—44no—
287C2×Q16—416no—
288C2×Q16—416no—
289C2×Q16—416no—
290C2×Q16C2×D4116yes—
291C2×SD16—28no—
292C2×SD16—44no—
293C2×SD16—44no—
294C2×SD16—44no—
295C2×SD16—44no—
296C2×SD16—44no—
297C2×SD16—416no—
298C2×SD16—416no—
299C22×C8—22no—
300C22×C8—22no—
301C22×C8—22no—
302C22×C8—22no—
303C22×C8—22no—
304C22×C8—22no—
305C22×C8—22no—
306C22×C8—22no—
307C22×C8—22no—
308C22×C8—22no—
309C22×C8C2×D414yes—
310C22×C8#4114yes—
311C22×C8C2412yes—
312C22×C8C2412yes—
313C22×C8C2412yes—
314C22×C8C2412yes—
315C4⋊Q8—28no—
316C4⋊Q8—28no—
317C4⋊Q8—44no—
318C4⋊Q8—44no—
319C4⋊Q8—48no—
320C4⋊Q8—48no—
321#124—28no—
322#124—44no—
323#124—44no—
324#124—44no—
325#124—48no—
326#124—48no—
327C4×Q8—28no—
328C4×Q8—44no—
329C4×Q8—44no—
330C4×Q8—44no—
331C4×Q8—48no—
332C4×Q8—48no—
333C2×C4⋊C4—24no—
334C2×C4⋊C4—24no—
335C2×C4⋊C4—22no—
336C2×C4⋊C4—22no—
337C2×C4⋊C4—22no—
338C2×C4⋊C4—22no—
339C2×C4⋊C4—22no—
340C2×C4⋊C4—22no—
341C2×C4⋊C4—24no—
342C2×C4⋊C4—24no—
343C2×C4⋊C4—24no—
344C2×C4⋊C4—24no—
345C2×C4⋊C4—24no—
346C2×C4⋊C4—24no—
347C2×C4⋊C4—24no—
348C2×C4⋊C4—21no—
349C2×C4⋊C4—21no—
350C2×C4⋊C4—21no—
351C2×C4⋊C4—44no—
352C2×C4⋊C4—44no—
353C2×C4⋊C4—44no—
354C2×C4⋊C4—44no—
355C2×C4⋊C4—44no—
356C2×C4⋊C4—44no—
357C2×C4⋊C4—44no—
358C2×C4⋊C4C2×D414yes—
359C2×C4⋊C4C2×D414yes—
360C2×C4⋊C4C2412yes—
361C2×C4⋊C4C2412yes—
362C2×C4⋊C4C2412yes—
363C2×C22⋊C4—24no—
364C2×C22⋊C4—24no—
365C2×C22⋊C4—24no—
366C2×C22⋊C4—24no—
367C2×C22⋊C4—24no—
368C2×C22⋊C4—24no—
369C2×C22⋊C4—44no—
370C2×C22⋊C4—44no—
371C2×C22⋊C4—44no—
372C2×C22⋊C4—44no—
373C2×C22⋊C4—44no—
374C2×C22⋊C4—44no—
375C2×C42—22no—
376C2×C42—22no—
377C2×C42—22no—
378C2×C42—22no—
379C2×C42—22no—
380C2×C42—22no—
381C2×C42—24no—
382C2×C42—24no—
383C2×C42—44no—
384C2×C42—44no—
385C2×C42C2×D412yes—
386C2×C42C2×D412yes—
387C2×C42C2×D412yes—
388C2×C42C2412yes—
389C2×C42C2412yes—
390C2×C42C2412yes—
391C4⋊C8—28no—
392#103—28no—
393#103—44no—
394#103—44no—
395#103—44no—
396#103—44no—
397#103—44no—
398#102—28no—
399#102—28no—
400C4×C8—28no—
401#95—24no—
402#95—24no—
403#95—24no—
404#95—24no—
405#95—24no—
406#95—24no—
407#95—24no—
408#95—24no—
409#95—24no—
410#95C2×D414yes—
411#95C2×D414yes—
412C24—22no—
413C24—42no—
414C24—42no—
415C24—42no—
416C24—42no—
417C24—42no—
418C24—42no—
419C24—42no—
420C24C22×D411yescharacteristic
421C2×Q8—24no—
422C2×Q8—24no—
423C2×Q8—22no—
424C2×Q8—22no—
425C2×Q8—28no—
426C2×Q8—28no—
427C2×Q8—28no—
428C2×Q8—28no—
429C2×Q8—22no—
430C2×Q8—22no—
431C2×Q8—22no—
432C2×Q8—22no—
433C2×Q8—22no—
434C2×Q8—22no—
435C2×Q8—22no—
436C2×Q8—22no—
437C2×Q8—22no—
438C2×Q8—22no—
439C2×Q8—22no—
440C2×Q8—22no—
441C2×Q8—22no—
442C2×Q8—22no—
443C2×Q8—22no—
444C2×Q8—22no—
445C2×Q8—22no—
446C2×Q8—22no—
447C2×Q8—22no—
448C2×Q8—22no—
449C2×Q8—42no—
450C2×Q8—42no—
451C2×Q8—42no—
452C2×Q8—42no—
453C2×Q8—44no—
454C2×Q8—44no—
455C2×Q8—42no—
456C2×Q8—42no—
457C2×Q8—42no—
458C2×Q8—42no—
459C2×Q8—42no—
460C2×Q8—42no—
461C2×Q8—44no—
462C2×Q8—44no—
463C2×Q8—44no—
464C2×Q8—44no—
465C2×Q8—44no—
466C2×Q8—44no—
467C2×Q8—44no—
468C2×Q8—44no—
469C2×Q8—44no—
470C2×Q8—44no—
471C2×Q8C22×D414yes—
472C2×Q8C22×D414yes—
473C2×D4—22no—
474C2×D4—22no—
475C2×D4—22no—
476C2×D4—22no—
477C2×D4—22no—
478C2×D4—22no—
479C2×D4—44no—
480C2×D4—42no—
481C2×D4—44no—
482C2×D4—42no—
483C2×D4—44no—
484C2×D4—42no—
485C2×D4—44no—
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—24no—
495C22×C4—24no—
496C22×C4—22no—
497C22×C4—22no—
498C22×C4—22no—
499C22×C4—22no—
500C22×C4—22no—
501C22×C4—22no—
502C22×C4—22no—
503C22×C4—22no—
504C22×C4—22no—
505C22×C4—22no—
506C22×C4—22no—
507C22×C4—22no—
508C22×C4—22no—
509C22×C4—22no—
510C22×C4—22no—
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—42no—
520C22×C4—42no—
521C22×C4—42no—
522C22×C4—42no—
523C22×C4—42no—
524C22×C4—42no—
525C22×C4—42no—
526C22×C4—42no—
527C22×C4—42no—
528C22×C4—42no—
529C22×C4—42no—
530C22×C4#13514yes—
531C22×C4#13714yes—
532C22×C4C22×D412yes—
533C22×C4C22×D412yes—
534C22×C4C22×D412yes—
535C22×C4C22×D412yes—
536C22×C4C22×D412yes—
537C22×C4C22×D412yes—
538C22×C4C22×D412yes—
539C22×C4C22×D411yescharacteristic
540C22×C4C2×#4112yes—
541C22×C4H(5,𝔽2)12yes—
542C22×C4H(5,𝔽2)12yes—
543C22×C4H(5,𝔽2)12yes—
544C22×C4H(5,𝔽2)12yes—
545C22×C4C2511yescharacteristic
546Q16—416no—
547Q16—416no—
548Q16—416no—
549Q16—416no—
550SD16—416no—
551SD16—416no—
552C2×C8—28no—
553C2×C8—28no—
554C2×C8—22no—
555C2×C8—22no—
556C2×C8—22no—
557C2×C8—22no—
558C2×C8—22no—
559C2×C8—22no—
560C2×C8—22no—
561C2×C8—22no—
562C2×C8—22no—
563C2×C8—22no—
564C2×C8—44no—
565C2×C8—44no—
566C2×C8C22×D414yes—
567C2×C8C2×#4114yes—
568C4⋊C4—28no—
569C4⋊C4—28no—
570C4⋊C4—22no—
571C4⋊C4—22no—
572C4⋊C4—22no—
573C4⋊C4—22no—
574C4⋊C4—22no—
575C4⋊C4—22no—
576C4⋊C4—48no—
577C4⋊C4—48no—
578C4⋊C4—48no—
579C4⋊C4—48no—
580C4⋊C4—48no—
581C4⋊C4—48no—
582C4⋊C4—42no—
583C4⋊C4—42no—
584C4⋊C4—42no—
585C4⋊C4—48no—
586C22⋊C4—48no—
587C22⋊C4—48no—
588C22⋊C4—48no—
589C22⋊C4—48no—
590C22⋊C4—48no—
591C22⋊C4—48no—
592C42—24no—
593C42—24no—
594C42—24no—
595C42—22no—
596C42—22no—
597C42—22no—
598C42—22no—
599C42—22no—
600C42—22no—
601C42—48no—
602C42—48no—
603C23—42no—
604C23—42no—
605C23—42no—
606C23—42no—
607C23—42no—
608C23—42no—
609C23—42no—
610C23—84no—
611C23—84no—
612C23—84no—
613C23—84no—
614C23—84no—
615C23—84no—
616C23—84no—
617C23#53512yes—
618C23D4212yes—
619C23#55012yes—
620C23C2×#13512yes—
621C23C2×#13712yes—
622C23#57812yes—
623C23#57812yes—
624C23C23×D411yescharacteristic
625Q8—24no—
626Q8—24no—
627Q8—24no—
628Q8—24no—
629Q8—48no—
630Q8—48no—
631Q8—42no—
632Q8—42no—
633Q8—42no—
634Q8—42no—
635Q8—42no—
636Q8—42no—
637Q8—42no—
638Q8—42no—
639Q8—42no—
640Q8—42no—
641Q8—42no—
642Q8—42no—
643Q8—84no—
644Q8—84no—
645D4—42no—
646D4—42no—
647D4—42no—
648D4—42no—
649D4—84no—
650C2×C4—22no—
651C2×C4—22no—
652C2×C4—28no—
653C2×C4—28no—
654C2×C4—22no—
655C2×C4—22no—
656C2×C4—22no—
657C2×C4—22no—
658C2×C4—22no—
659C2×C4—22no—
660C2×C4—24no—
661C2×C4—24no—
662C2×C4—22no—
663C2×C4—22no—
664C2×C4—22no—
665C2×C4—22no—
666C2×C4—22no—
667C2×C4—22no—
668C2×C4—22no—
669C2×C4—22no—
670C2×C4—48no—
671C2×C4—48no—
672C2×C4—42no—
673C2×C4—42no—
674C2×C4—44no—
675C2×C4—42no—
676C2×C4—42no—
677C2×C4—44no—
678C2×C4—44no—
679C2×C4—44no—
680C2×C4—42no—
681C2×C4—42no—
682C2×C4—42no—
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—84no—
696C2×C4—84no—
697C2×C4—84no—
698C2×C4—84no—
699C2×C4—84no—
700C2×C4#53414yes—
701C2×C4#53512yes—
702C2×C4#54014yes—
703C2×C4D4212yes—
704C2×C4#54614yes—
705C2×C4#55012yes—
706C2×C4#56014yes—
707C2×C4C2×#13514yes—
708C2×C4C2×#13714yes—
709C2×C4C23×D411yescharacteristic
710C2×C4C22×#4111yescharacteristic
711C2×C4C2×H(5,𝔽2)11yescharacteristic
712C2×C4C2×H(5,𝔽2)11yescharacteristic
713C2×C4C2×H(5,𝔽2)11yescharacteristic
714C2×C4C2×H(5,𝔽2)11yescharacteristic
715C8—24no—
716C8—24no—
717C8—42no—
718C8—42no—
719C22—82no—
720C22—82no—
721C22—82no—
722C22—82no—
723C22—82no—
724C22—82no—
725C22—82no—
726C22—168no—
727C22#267314yes—
728C22#321014yes—
729C22#322314yes—
730C22#327014yes—
731C22#328514yes—
732C22#339314yes—
733C22#339814yes—
734C22C2×#53511yescharacteristic
735C22C2×D4211yescharacteristic
736C22C2×#55011yescharacteristic
737C22C22×#13511yescharacteristic
738C22C22×#13711yescharacteristic
739C22C2×#57811yescharacteristic
740C22C2×#57811yescharacteristic
741C4—24no—
742C4—24no—
743C4—42no—
744C4—42no—
745C4—42no—
746C4—44no—
747C4—44no—
748C4—42no—
749C4—82no—
750C4—82no—
751C4—82no—
752C4—82no—
753C4—82no—
754C4#267314yes—
755C4C2×#53411yescharacteristic
756C4C2×#54011yescharacteristic
757C4C2×#54611yescharacteristic
758C4C2×#56011yescharacteristic
759C2—162no—
760C2#3074218yesdirect product factor
761C2C2×#267311yescharacteristic
762C2C2×#321011yescharacteristic
763C2C2×#322311yescharacteristic
764C2C2×#327011yescharacteristic
765C2C2×#328511yescharacteristic
766C2C2×#339311yescharacteristic
767C2C2×#339811yescharacteristic
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×#494C2semidirect
4. C2×#2446C2semidirect
5. #30742C2direct (N × H)
6. C2×#2056C2semidirect
7. C2×#2043C2semidirect
13. C2×#1916C2semidirect
14. C2×#1878C2semidirect
15. C2×#1878C2semidirect
16. C2×#1878C2semidirect
30. C2×#494C22semidirect
46. #2446C22semidirect
62. #2056C22semidirect
63. #2043C22semidirect
69. #1916C22semidirect
70. #1878C22semidirect
71. #1878C22semidirect
72. #1878C22semidirect
760. C2#30742direct (N × H)

Maximal subgroups

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

subgroupindex
C22×#4942
C22×#4642
C2×#25452
C2×#24462
#307422
C2×#20562
C2×#20432
C2×#20132
C2×#20152
C2×#19342
C2×#19162
C2×#18782