Finite Group Databasebeta

← C2×#30122 #6433438

Subgroups — C2×#30122 #6433438

Order 512.

2390 conjugacy classes of subgroups.

The subgroup lattice has 794 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#2619C211yesmaximal, characteristic
2C2×#2323C211yesmaximal, characteristic, complemented
3#30122C2116yesmaximal, direct product factor
4C2×#2101C211yesmaximal, characteristic, complemented
5C2×#2097C211yesmaximal, characteristic, complemented
6C2×#2041C211yesmaximal, characteristic, complemented
7C2×#2034C211yesmaximal, characteristic, complemented
8C2×#2033C211yesmaximal, characteristic, complemented
9C2×#2014C211yesmaximal, characteristic, complemented
10C2×#2000C211yesmaximal, characteristic, complemented
11C2×#2000C211yesmaximal, characteristic, complemented
12C2×#1926C211yesmaximal, characteristic, complemented
13C2×#1925C211yesmaximal, characteristic, complemented
14C2×#1880C211yesmaximal, characteristic, complemented
15C2×#1880C211yesmaximal, characteristic, complemented
16C2×#1818C211yesmaximal, characteristic, complemented
17C23×SD16C2211yescharacteristic
18C23×SD16C2211yescharacteristic
19C22×#127C2211yescharacteristic
20C22×C22⋊Q8C2211yescharacteristic
21C22×#121C2211yescharacteristic
22C22×#121C2211yescharacteristic
23C22×C4×Q8C2211yescharacteristic
24C22×#117C2211yescharacteristic
25C22×#107C2211yescharacteristic
26C22×#106C2211yescharacteristic
27C22×#103C2211yescharacteristic
28C22×#103C2211yescharacteristic
29C22×#102C2211yescharacteristic
30C22×#102C2211yescharacteristic
31C22×#102C2211yescharacteristic
32C22×#102C2211yescharacteristic
33C22×#102C2211yescharacteristic
34C22×#102C2211yescharacteristic
35C22×C22⋊C8C2211yescharacteristic
36C22×C22⋊C8C2211yescharacteristic
37#2619—24no—
38#2619C2218yes—
39C2×#394—21no—
40C2×#394—21no—
41C2×#392—21no—
42C2×#392—21no—
43#2323—24no—
44#2323C2218yescomplemented
45C2×#391C2211yescharacteristic
46C2×#390C2211yescharacteristic
47C2×#390C2211yescharacteristic
48C2×#389—21no—
49C2×#389C2211yescharacteristic
50C2×#388—21no—
51C2×#388—21no—
52C2×#387—21no—
53C2×#382C2211yescharacteristic
54C2×#380C2211yescharacteristic
55C2×C4×C4⋊C4C2211yescharacteristic
56#2101C2218yescomplemented
57#2097C2218yescomplemented
58#2041C2218yescomplemented
59#2034C2218yescomplemented
60#2033C2218yescomplemented
61#2014C2218yescomplemented
62#2000C2218yescomplemented
63#2000C2218yescomplemented
64#1926C2218yescomplemented
65#1925C2218yescomplemented
66#1880C2218yescomplemented
67#1880C2218yescomplemented
68#1818C2218yescomplemented
69C2×#340C2211yescharacteristic
70C2×#340C2211yescharacteristic
71C2×#340C2211yescharacteristic
72C2×#340C2211yescharacteristic
73C2×#336C2211yescharacteristic
74C2×#336C2211yescharacteristic
75C2×#336C2211yescharacteristic
76C2×#336C2211yescharacteristic
77C23×Q8C2311yescharacteristic
78C23×D4—21no—
79C23×D4—21no—
80C23×D4—21no—
81C23×D4—21no—
82C23×D4C2311yescharacteristic
83C23×D4C2311yescharacteristic
84C24×C4C2311yescharacteristic
85C22×SD16—24no—
86C22×SD16—24no—
87C22×SD16—42no—
88C22×SD16—42no—
89C22×SD16—42no—
90C22×SD16—42no—
91C22×SD16C2314yes—
92C22×SD16C2314yes—
93C23×C8C2311yescharacteristic
94C23×C8C2311yescharacteristic
95C23×C8C2311yescharacteristic
96C23×C8C2311yescharacteristic
97C2×#127—22no—
98C2×#127—42no—
99C2×#127—42no—
100C2×#127C2314yes—
101C2×C22⋊Q8—24no—
102C2×C22⋊Q8—22no—
103C2×C22⋊Q8—24no—
104C2×C22⋊Q8C2314yes—
105C2×#121—22no—
106C2×#121—22no—
107C2×#121—42no—
108C2×#121—42no—
109C2×#121—42no—
110C2×#121—42no—
111C2×#121C2314yes—
112C2×#121C2314yes—
113C2×C4×Q8—22no—
114C2×C4×Q8—42no—
115C2×C4×Q8—42no—
116C2×C4×Q8C2314yes—
117C2×#117—42no—
118C2×#117—42no—
119C2×#117D414yes—
120C2×#117C2314yes—
121C22×C4⋊C4—21no—
122C22×C4⋊C4—21no—
123C22×C4⋊C4—21no—
124C22×C4⋊C4D411yescharacteristic
125C22×C4⋊C4D411yescharacteristic
126C22×C4⋊C4C2311yescharacteristic
127C22×C4⋊C4C2311yescharacteristic
128C22×C4⋊C4C2311yescharacteristic
129C22×C4⋊C4C2311yescharacteristic
130C22×C4⋊C4C2311yescharacteristic
131C22×C22⋊C4—21no—
132C22×C22⋊C4—21no—
133C22×C22⋊C4—21no—
134C22×C22⋊C4—21no—
135C22×C22⋊C4—21no—
136C22×C22⋊C4—21no—
137C22×C22⋊C4—21no—
138C22×C22⋊C4—21no—
139C22×C22⋊C4D411yescharacteristic
140C22×C22⋊C4D411yescharacteristic
141C22×C42—21no—
142C22×C42—21no—
143C22×C42C2311yescharacteristic
144C22×C42C2311yescharacteristic
145C2×#107—42no—
146C2×#107C2314yes—
147C2×#106—42no—
148C2×#106C2314yes—
149C2×#103—42no—
150C2×#103—42no—
151C2×#103C2314yes—
152C2×#103C2314yes—
153C2×#102—24no—
154C2×#102—24no—
155C2×#102—42no—
156C2×#102—42no—
157C2×#102—42no—
158C2×#102—42no—
159C2×#102C2314yes—
160C2×#102C2314yes—
161C2×#102C2314yes—
162C2×#102C2314yes—
163C2×#102C2314yes—
164C2×#102C2314yes—
165C2×C22⋊C8—42no—
166C2×C22⋊C8—42no—
167C2×C22⋊C8C2314yes—
168C2×C22⋊C8C2314yes—
169#394—28no—
170#394—28no—
171#392—28no—
172#392—28no—
173#391—22no—
174#391C2314yes—
175#390—22no—
176#390—22no—
177#390C2314yes—
178#390C2314yes—
179#389—28no—
180#389—22no—
181#389C2314yes—
182#388—28no—
183#388—28no—
184#387—28no—
185#382—22no—
186#382C2314yes—
187#380—22no—
188#380C2314yes—
189C4×C4⋊C4—22no—
190C4×C4⋊C4C2314yes—
191C2×#95—21no—
192C2×#95—21no—
193C2×#95—21no—
194C2×#95—21no—
195C2×#95—21no—
196C2×#95—21no—
197C2×#95—21no—
198#340C2314yes—
199#340C2314yes—
200#340C2314yes—
201#340C2314yes—
202#336C2314yes—
203#336C2314yes—
204#336C2314yes—
205#336C2314yes—
206C25—21no—
207C25—21no—
208C25C2×D411yescharacteristic
209C22×Q8—21no—
210C22×Q8—22no—
211C22×Q8—22no—
212C22×Q8—22no—
213C22×Q8—22no—
214C22×Q8—22no—
215C22×Q8#4114yes—
216C22×Q8C2412yes—
217C22×D4—24no—
218C22×D4—24no—
219C22×D4—21no—
220C22×D4—21no—
221C22×D4—24no—
222C22×D4—24no—
223C22×D4—22no—
224C22×D4—22no—
225C22×D4—22no—
226C22×D4—22no—
227C22×D4—22no—
228C22×D4—22no—
229C22×D4—22no—
230C22×D4—22no—
231C22×D4—22no—
232C22×D4—22no—
233C22×D4—22no—
234C22×D4—22no—
235C22×D4—44no—
236C22×D4—44no—
237C22×D4—44no—
238C22×D4—44no—
239C22×D4—82no—
240C22×D4—82no—
241C22×D4—82no—
242C22×D4—82no—
243C22×D4—82no—
244C22×D4—82no—
245C22×D4—82no—
246C22×D4—82no—
247C22×D4C2412yes—
248C22×D4C2412yes—
249C23×C4—21no—
250C23×C4—21no—
251C23×C4—22no—
252C23×C4—22no—
253C23×C4—22no—
254C23×C4—22no—
255C23×C4—22no—
256C23×C4—22no—
257C23×C4—21no—
258C23×C4—21no—
259C23×C4—21no—
260C23×C4—21no—
261C23×C4C2×D412yes—
262C23×C4C2×D411yescharacteristic
263C23×C4C2×D411yescharacteristic
264C23×C4C2×D411yescharacteristic
265C23×C4C2×D411yescharacteristic
266C23×C4C2×D411yescharacteristic
267C23×C4C2412yes—
268C23×C4C2411yescharacteristic
269C2×SD16—28no—
270C2×SD16—28no—
271C2×SD16—44no—
272C2×SD16—44no—
273C2×SD16—44no—
274C2×SD16—44no—
275C2×SD16—416no—
276C2×SD16—416no—
277C22×C8—22no—
278C22×C8—22no—
279C22×C8—22no—
280C22×C8—22no—
281C22×C8—22no—
282C22×C8—22no—
283C22×C8—22no—
284C22×C8—22no—
285C22×C8—22no—
286C22×C8—22no—
287C22×C8—22no—
288C22×C8—22no—
289C22×C8C2412yes—
290C22×C8C2412yes—
291C22×C8C2412yes—
292C22×C8C2412yes—
293#127—44no—
294#127—44no—
295#127—48no—
296C22⋊Q8—216no—
297C22⋊Q8—28no—
298C22⋊Q8—28no—
299#121—44no—
300#121—44no—
301#121—44no—
302#121—44no—
303#121—48no—
304#121—48no—
305C4×Q8—44no—
306C4×Q8—44no—
307C4×Q8—48no—
308#117—48no—
309#117—44no—
310#117—44no—
311C2×C4⋊C4—28no—
312C2×C4⋊C4—24no—
313C2×C4⋊C4—21no—
314C2×C4⋊C4—22no—
315C2×C4⋊C4—22no—
316C2×C4⋊C4—22no—
317C2×C4⋊C4—22no—
318C2×C4⋊C4—22no—
319C2×C4⋊C4—22no—
320C2×C4⋊C4—22no—
321C2×C4⋊C4—22no—
322C2×C4⋊C4—22no—
323C2×C4⋊C4—24no—
324C2×C4⋊C4—21no—
325C2×C4⋊C4—21no—
326C2×C4⋊C4—21no—
327C2×C4⋊C4—21no—
328C2×C4⋊C4—24no—
329C2×C4⋊C4—42no—
330C2×C4⋊C4—42no—
331C2×C4⋊C4—44no—
332C2×C4⋊C4—82no—
333C2×C4⋊C4C2×D414yes—
334C2×C4⋊C4C2×D414yes—
335C2×C4⋊C4#4114yes—
336C2×C4⋊C4C2412yes—
337C2×C4⋊C4C2412yes—
338C2×C4⋊C4C2412yes—
339C2×C4⋊C4C2412yes—
340C2×C4⋊C4C2412yes—
341C2×C22⋊C4—28no—
342C2×C22⋊C4—24no—
343C2×C22⋊C4—24no—
344C2×C22⋊C4—24no—
345C2×C22⋊C4—24no—
346C2×C22⋊C4—24no—
347C2×C22⋊C4—24no—
348C2×C22⋊C4—24no—
349C2×C22⋊C4—24no—
350C2×C22⋊C4—42no—
351C2×C22⋊C4—42no—
352C2×C22⋊C4—44no—
353C2×C22⋊C4—44no—
354C2×C22⋊C4—82no—
355C2×C22⋊C4—82no—
356C2×C22⋊C4—82no—
357C2×C22⋊C4—82no—
358C2×C22⋊C4—82no—
359C2×C22⋊C4C2×D414yes—
360C2×C22⋊C4C2×D414yes—
361C2×C42—22no—
362C2×C42—22no—
363C2×C42—22no—
364C2×C42—22no—
365C2×C42—24no—
366C2×C42—24no—
367C2×C42—44no—
368C2×C42—82no—
369C2×C42C2×D412yes—
370C2×C42C2×D412yes—
371C2×C42C2412yes—
372C2×C42C2412yes—
373#107—44no—
374#106—44no—
375#103—44no—
376#103—44no—
377#102—28no—
378#102—28no—
379#102—44no—
380#102—44no—
381#102—44no—
382#102—44no—
383C22⋊C8—44no—
384C22⋊C8—44no—
385#95—24no—
386#95—24no—
387#95—24no—
388#95—24no—
389#95—24no—
390#95—24no—
391#95—24no—
392C24—22no—
393C24—22no—
394C24—22no—
395C24—22no—
396C24—22no—
397C24—22no—
398C24—22no—
399C24—22no—
400C24—22no—
401C24—42no—
402C24—42no—
403C24—42no—
404C24—42no—
405C24—42no—
406C24—42no—
407C24—42no—
408C24—42no—
409C24—42no—
410C24—42no—
411C24—42no—
412C24—42no—
413C24—42no—
414C24—42no—
415C24C22×D412yes—
416C24C22×D411yescharacteristic
417C2×Q8—24no—
418C2×Q8—22no—
419C2×Q8—28no—
420C2×Q8—28no—
421C2×Q8—22no—
422C2×Q8—22no—
423C2×Q8—22no—
424C2×Q8—22no—
425C2×Q8—42no—
426C2×Q8—42no—
427C2×Q8—44no—
428C2×Q8—44no—
429C2×Q8C2×#4114yes—
430C2×D4—22no—
431C2×D4—22no—
432C2×D4—22no—
433C2×D4—22no—
434C2×D4—22no—
435C2×D4—22no—
436C2×D4—22no—
437C2×D4—22no—
438C2×D4—22no—
439C2×D4—22no—
440C2×D4—22no—
441C2×D4—22no—
442C2×D4—48no—
443C2×D4—48no—
444C2×D4—48no—
445C2×D4—48no—
446C2×D4—42no—
447C2×D4—42no—
448C2×D4—42no—
449C2×D4—42no—
450C2×D4—42no—
451C2×D4—42no—
452C2×D4—44no—
453C2×D4—44no—
454C2×D4—44no—
455C2×D4—44no—
456C2×D4—44no—
457C2×D4—44no—
458C2×D4—44no—
459C2×D4—44no—
460C2×D4—84no—
461C2×D4—84no—
462C2×D4—84no—
463C2×D4—84no—
464C2×D4—84no—
465C2×D4—84no—
466C2×D4—84no—
467C2×D4—84no—
468C2×D4—816no—
469C2×D4—816no—
470C2×D4—816no—
471C2×D4—816no—
472C22×C4—24no—
473C22×C4—24no—
474C22×C4—22no—
475C22×C4—22no—
476C22×C4—22no—
477C22×C4—22no—
478C22×C4—22no—
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—22no—
491C22×C4—24no—
492C22×C4—24no—
493C22×C4—24no—
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—22no—
503C22×C4—22no—
504C22×C4—42no—
505C22×C4—42no—
506C22×C4—42no—
507C22×C4—42no—
508C22×C4—44no—
509C22×C4—44no—
510C22×C4—44no—
511C22×C4—44no—
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×C4C22×D412yes—
525C22×C4C22×D412yes—
526C22×C4C22×D412yes—
527C22×C4C22×D412yes—
528C22×C4C22×D412yes—
529C22×C4C22×D411yescharacteristic
530C22×C4C2×#4112yes—
531C22×C4C2×#4112yes—
532C22×C4H(5,𝔽2)12yes—
533C22×C4H(5,𝔽2)12yes—
534C22×C4H(5,𝔽2)12yes—
535C22×C4H(5,𝔽2)12yes—
536C22×C4C2511yescharacteristic
537SD16—416no—
538SD16—416no—
539C2×C8—22no—
540C2×C8—22no—
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—44no—
552C2×C8—44no—
553C2×C8—44no—
554C2×C8—44no—
555C4⋊C4—216no—
556C4⋊C4—24no—
557C4⋊C4—22no—
558C4⋊C4—22no—
559C4⋊C4—22no—
560C4⋊C4—22no—
561C4⋊C4—22no—
562C4⋊C4—22no—
563C4⋊C4—22no—
564C4⋊C4—22no—
565C4⋊C4—22no—
566C4⋊C4—44no—
567C4⋊C4—44no—
568C4⋊C4—48no—
569C4⋊C4—42no—
570C4⋊C4—42no—
571C4⋊C4—42no—
572C4⋊C4—42no—
573C4⋊C4—84no—
574C4⋊C4C2×#4114yes—
575C22⋊C4—216no—
576C22⋊C4—44no—
577C22⋊C4—44no—
578C22⋊C4—48no—
579C22⋊C4—48no—
580C22⋊C4—84no—
581C22⋊C4—84no—
582C22⋊C4—84no—
583C22⋊C4—84no—
584C22⋊C4—84no—
585C42—24no—
586C42—24no—
587C42—22no—
588C42—22no—
589C42—22no—
590C42—22no—
591C42—48no—
592C42—84no—
593C23—22no—
594C23—22no—
595C23—22no—
596C23—22no—
597C23—22no—
598C23—22no—
599C23—22no—
600C23—44no—
601C23—44no—
602C23—44no—
603C23—44no—
604C23—44no—
605C23—44no—
606C23—44no—
607C23—42no—
608C23—42no—
609C23—42no—
610C23—42no—
611C23—42no—
612C23—42no—
613C23—42no—
614C23—42no—
615C23—42no—
616C23—42no—
617C23—42no—
618C23—42no—
619C23—42no—
620C23—42no—
621C23—84no—
622C23—84no—
623C23—84no—
624C23—84no—
625C23—84no—
626C23—84no—
627C23—84no—
628C23—84no—
629C23—84no—
630C23—84no—
631C23—84no—
632C23—84no—
633C23—84no—
634C23—84no—
635C23#52512yes—
636C23#53412yes—
637C23#53512yes—
638C23#57612yes—
639C23#57712yes—
640C23#57712yes—
641C23#57712yes—
642C23C23×D411yescharacteristic
643Q8—24no—
644Q8—24no—
645Q8—48no—
646Q8—42no—
647Q8—42no—
648D4—42no—
649D4—42no—
650D4—42no—
651D4—42no—
652D4—42no—
653D4—42no—
654D4—42no—
655D4—42no—
656D4—816no—
657D4—816no—
658D4—816no—
659D4—816no—
660D4—84no—
661D4—84no—
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—22no—
675C2×C4—22no—
676C2×C4—22no—
677C2×C4—22no—
678C2×C4—22no—
679C2×C4—48no—
680C2×C4—44no—
681C2×C4—48no—
682C2×C4—42no—
683C2×C4—42no—
684C2×C4—44no—
685C2×C4—44no—
686C2×C4—44no—
687C2×C4—44no—
688C2×C4—42no—
689C2×C4—42no—
690C2×C4—48no—
691C2×C4—42no—
692C2×C4—42no—
693C2×C4—42no—
694C2×C4—42no—
695C2×C4—42no—
696C2×C4—42no—
697C2×C4—42no—
698C2×C4—42no—
699C2×C4—42no—
700C2×C4—42no—
701C2×C4—42no—
702C2×C4—42no—
703C2×C4—42no—
704C2×C4—42no—
705C2×C4—42no—
706C2×C4—42no—
707C2×C4—84no—
708C2×C4—84no—
709C2×C4—84no—
710C2×C4—84no—
711C2×C4#52512yes—
712C2×C4#53412yes—
713C2×C4#53512yes—
714C2×C4#53814yes—
715C2×C4#53814yes—
716C2×C4#54014yes—
717C2×C4#54014yes—
718C2×C4C22×#4111yescharacteristic
719C2×C4C22×#4111yescharacteristic
720C2×C4C2×H(5,𝔽2)11yescharacteristic
721C2×C4C2×H(5,𝔽2)11yescharacteristic
722C2×C4C2×H(5,𝔽2)11yescharacteristic
723C2×C4C2×H(5,𝔽2)11yescharacteristic
724C8—42no—
725C8—42no—
726C8—42no—
727C8—42no—
728C22—42no—
729C22—42no—
730C22—42no—
731C22—42no—
732C22—42no—
733C22—42no—
734C22—42no—
735C22—88no—
736C22—82no—
737C22—82no—
738C22—82no—
739C22—82no—
740C22—82no—
741C22—82no—
742C22—82no—
743C22—82no—
744C22—82no—
745C22—82no—
746C22—82no—
747C22—82no—
748C22—82no—
749C22—82no—
750C22—168no—
751C22—168no—
752C22#263514yes—
753C22#311914yes—
754C22#312614yes—
755C22#319814yes—
756C22#320014yes—
757C22#322214yes—
758C22#322414yes—
759C22C2×#52511yescharacteristic
760C22C2×#53411yescharacteristic
761C22C2×#53511yescharacteristic
762C22C2×#57611yescharacteristic
763C22C2×#57711yescharacteristic
764C22C2×#57711yescharacteristic
765C22C2×#57711yescharacteristic
766C4—42no—
767C4—44no—
768C4—42no—
769C4—42no—
770C4—42no—
771C4—42no—
772C4—44no—
773C4—82no—
774C4—82no—
775C4—82no—
776C4—82no—
777C4#263514yes—
778C4C2×#53811yescharacteristic
779C4C2×#53811yescharacteristic
780C4C2×#54011yescharacteristic
781C4C2×#54011yescharacteristic
782C2—82no—
783C2—162no—
784C2—162no—
785C2#3012218yesdirect product factor
786C2C2×#263511yescharacteristic
787C2C2×#311911yescharacteristic
788C2C2×#312611yescharacteristic
789C2C2×#319811yescharacteristic
790C2C2×#320011yescharacteristic
791C2C2×#322211yescharacteristic
792C2C2×#322411yescharacteristic
subgroupG/H
center, socleC24C22×D4
commutator, Frattini, cosocleC22×C4C25
prime radicalC2×#2619C2
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C24 ◁ C22×#117 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
2. C2×#2323C2semidirect
3. #30122C2direct (N × H)
4. C2×#2101C2semidirect
5. C2×#2097C2semidirect
6. C2×#2041C2semidirect
7. C2×#2034C2semidirect
8. C2×#2033C2semidirect
9. C2×#2014C2semidirect
10. C2×#2000C2semidirect
11. C2×#2000C2semidirect
12. C2×#1926C2semidirect
13. C2×#1925C2semidirect
14. C2×#1880C2semidirect
15. C2×#1880C2semidirect
16. C2×#1818C2semidirect
44. #2323C22semidirect
56. #2101C22semidirect
57. #2097C22semidirect
58. #2041C22semidirect
59. #2034C22semidirect
60. #2033C22semidirect
61. #2014C22semidirect
62. #2000C22semidirect
63. #2000C22semidirect
64. #1926C22semidirect
65. #1925C22semidirect
66. #1880C22semidirect
67. #1880C22semidirect
68. #1818C22semidirect
785. C2#30122direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#26192
C2×#23232
#301222
C2×#21012
C2×#20972
C2×#20412
C2×#20342
C2×#20332
C2×#20142
C2×#20002
C2×#19262
C2×#19252
C2×#18802
C2×#18182