Finite Group Databasebeta

← C2×#31685 #7505946

Subgroups — C2×#31685 #7505946

Order 512.

2634 conjugacy classes of subgroups.

The subgroup lattice has 798 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#2485C211yesmaximal, characteristic, complemented
2C2×#2407C211yesmaximal, characteristic
3#31685C2116yesmaximal, direct product factor
4C2×#2077C211yesmaximal, characteristic, complemented
5C2×#2077C211yesmaximal, characteristic, complemented
6C2×#2066C211yesmaximal, characteristic, complemented
7C2×#2065C211yesmaximal, characteristic, complemented
8C2×#2034C211yesmaximal, characteristic, complemented
9C2×#2035C211yesmaximal, characteristic, complemented
10C2×#1955C211yesmaximal, characteristic, complemented
11C2×#1936C211yesmaximal, characteristic, complemented
12C2×#1935C211yesmaximal, characteristic, complemented
13C2×#1875C211yesmaximal, characteristic, complemented
14C2×#1873C211yesmaximal, characteristic, complemented
15C2×#1788C211yesmaximal, characteristic, complemented
16C2×#1788C211yesmaximal, characteristic, complemented
17C23×#41C2211yescharacteristic
18C22×C22⋊Q8C2211yescharacteristic
19C22×#121C2211yescharacteristic
20C22×C4×D4C2211yescharacteristic
21C22×#117C2211yescharacteristic
22C22×#106C2211yescharacteristic
23C22×#106C2211yescharacteristic
24C22×C4⋊C8C2211yescharacteristic
25C22×#103C2211yescharacteristic
26C22×#103C2211yescharacteristic
27C22×#103C2211yescharacteristic
28C22×#103C2211yescharacteristic
29C22×#102C2211yescharacteristic
30C22×#102C2211yescharacteristic
31C22×#102C2211yescharacteristic
32C22×#102C2211yescharacteristic
33C22×C22⋊C8C2211yescharacteristic
34C22×C22⋊C8C2211yescharacteristic
35C22×C22⋊C8C2211yescharacteristic
36C22×C22⋊C8C2211yescharacteristic
37C22×#97C2211yescharacteristic
38#2485—24no—
39#2485C2218yescomplemented
40#2407—24no—
41#2407C2218yes—
42C2×#397—21no—
43C2×#394—21no—
44C2×#394—21no—
45C2×#392—21no—
46C2×#391C2211yescharacteristic
47C2×#390C2211yescharacteristic
48C2×#389C2211yescharacteristic
49C2×#389C2211yescharacteristic
50C2×#388—21no—
51C2×#387—21no—
52C2×#386—21no—
53C2×#385—21no—
54C2×#380C2211yescharacteristic
55C2×#380C2211yescharacteristic
56C2×#380C2211yescharacteristic
57C2×#380C2211yescharacteristic
58#2077C2218yescomplemented
59#2077C2218yescomplemented
60#2066C2218yescomplemented
61#2065C2218yescomplemented
62#2035C2218yescomplemented
63#2034C2218yescomplemented
64#1955C2218yescomplemented
65#1936C2218yescomplemented
66#1935C2218yescomplemented
67#1875C2218yescomplemented
68#1873C2218yescomplemented
69#1788C2218yescomplemented
70#1788C2218yescomplemented
71C2×#340C2211yescharacteristic
72C2×#340C2211yescharacteristic
73C2×#340C2211yescharacteristic
74C2×#340C2211yescharacteristic
75C2×#340C2211yescharacteristic
76C2×#340C2211yescharacteristic
77C22×#41—22no—
78C22×#41—24no—
79C22×#41—24no—
80C22×#41—42no—
81C22×#41—42no—
82C22×#41—42no—
83C22×#41—42no—
84C22×#41C2314yes—
85C23×Q8C2311yescharacteristic
86C23×D4—21no—
87C23×D4—21no—
88C23×D4D411yescharacteristic
89C23×D4C2311yescharacteristic
90C24×C4—21no—
91C24×C4C2311yescharacteristic
92C24×C4C2311yescharacteristic
93C23×C8C2311yescharacteristic
94C23×C8C2311yescharacteristic
95C23×C8C2311yescharacteristic
96C23×C8C2311yescharacteristic
97C2×C22⋊Q8—22no—
98C2×C22⋊Q8—24no—
99C2×C22⋊Q8—42no—
100C2×C22⋊Q8C2314yes—
101C2×#121—22no—
102C2×#121—24no—
103C2×#121—42no—
104C2×#121C2314yes—
105C2×C4×D4—42no—
106C2×C4×D4—42no—
107C2×C4×D4D414yes—
108C2×C4×D4C2314yes—
109C2×#117—22no—
110C2×#117—42no—
111C2×#117—42no—
112C2×#117C2314yes—
113C22×C4⋊C4—21no—
114C22×C4⋊C4—21no—
115C22×C4⋊C4—21no—
116C22×C4⋊C4D411yescharacteristic
117C22×C4⋊C4C2311yescharacteristic
118C22×C4⋊C4C2311yescharacteristic
119C22×C4⋊C4C2311yescharacteristic
120C22×C4⋊C4C2311yescharacteristic
121C22×C4⋊C4C2311yescharacteristic
122C22×C4⋊C4C2311yescharacteristic
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×C22⋊C4—21no—
130C22×C22⋊C4—21no—
131C22×C22⋊C4—21no—
132C22×C22⋊C4D411yescharacteristic
133C22×C22⋊C4D411yescharacteristic
134C22×C42—21no—
135C22×C42C2311yescharacteristic
136C2×#106—42no—
137C2×#106—42no—
138C2×#106C2314yes—
139C2×#106C2314yes—
140C2×C4⋊C8—42no—
141C2×C4⋊C8C2314yes—
142C2×#103—24no—
143C2×#103—42no—
144C2×#103—42no—
145C2×#103—42no—
146C2×#103C2314yes—
147C2×#103C2314yes—
148C2×#103C2314yes—
149C2×#103C2314yes—
150C2×#102—24no—
151C2×#102—42no—
152C2×#102—42no—
153C2×#102—42no—
154C2×#102C2314yes—
155C2×#102C2314yes—
156C2×#102C2314yes—
157C2×#102C2314yes—
158C2×C22⋊C8—42no—
159C2×C22⋊C8—42no—
160C2×C22⋊C8—42no—
161C2×C22⋊C8—42no—
162C2×C22⋊C8C2314yes—
163C2×C22⋊C8C2314yes—
164C2×C22⋊C8C2314yes—
165C2×C22⋊C8C2314yes—
166C2×#97—42no—
167C2×#97C2314yes—
168#397—28no—
169#394—28no—
170#394—28no—
171#392—28no—
172#391—22no—
173#391C2314yes—
174#390—22no—
175#390C2314yes—
176#389—22no—
177#389—22no—
178#389C2314yes—
179#389C2314yes—
180#388—28no—
181#387—28no—
182#386—28no—
183#385—28no—
184#380—22no—
185#380—22no—
186#380—22no—
187#380—22no—
188#380C2314yes—
189#380C2314yes—
190#380C2314yes—
191#380C2314yes—
192C2×#95—21no—
193C2×#95—21no—
194C2×#95—21no—
195C2×#95—21no—
196C2×#95—21no—
197C2×#95—21no—
198C2×#95—21no—
199C2×#95—21no—
200#340C2314yes—
201#340C2314yes—
202#340C2314yes—
203#340C2314yes—
204#340C2314yes—
205#340C2314yes—
206C25—21no—
207C25C2×D411yescharacteristic
208C25C2×D411yescharacteristic
209C2×#41—28no—
210C2×#41—28no—
211C2×#41—44no—
212C2×#41—44no—
213C2×#41—44no—
214C2×#41—44no—
215C2×#41—48no—
216C2×#41—48no—
217C2×#41—48no—
218C2×#41—416no—
219C2×#41—416no—
220C2×#41—416no—
221C2×#41—416no—
222C22×Q8—21no—
223C22×Q8—22no—
224C22×Q8—22no—
225C22×Q8—22no—
226C22×Q8—22no—
227C22×Q8—22no—
228C22×Q8#4114yes—
229C22×Q8C2412yes—
230C22×D4—24no—
231C22×D4—24no—
232C22×D4—21no—
233C22×D4—22no—
234C22×D4—22no—
235C22×D4—22no—
236C22×D4—22no—
237C22×D4—22no—
238C22×D4—42no—
239C22×D4—42no—
240C22×D4—42no—
241C22×D4—44no—
242C22×D4—44no—
243C22×D4—44no—
244C22×D4—44no—
245C22×D4—44no—
246C22×D4—82no—
247C22×D4C2×D414yes—
248C22×D4#4114yes—
249C22×D4C2412yes—
250C23×C4—21no—
251C23×C4—22no—
252C23×C4—22no—
253C23×C4—22no—
254C23×C4—22no—
255C23×C4—22no—
256C23×C4—22no—
257C23×C4—22no—
258C23×C4—22no—
259C23×C4—22no—
260C23×C4—22no—
261C23×C4—22no—
262C23×C4—22no—
263C23×C4—21no—
264C23×C4—21no—
265C23×C4—21no—
266C23×C4—21no—
267C23×C4—21no—
268C23×C4—21no—
269C23×C4—24no—
270C23×C4—44no—
271C23×C4—44no—
272C23×C4—44no—
273C23×C4C2×D412yes—
274C23×C4C2×D412yes—
275C23×C4C2×D411yescharacteristic
276C23×C4C2×D411yescharacteristic
277C23×C4C2×D411yescharacteristic
278C23×C4C2×D411yescharacteristic
279C23×C4C2412yes—
280C23×C4C2412yes—
281C23×C4C2411yescharacteristic
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×C8—22no—
294C22×C8C2412yes—
295C22×C8C2412yes—
296C22×C8C2412yes—
297C22×C8C2412yes—
298C22⋊Q8—28no—
299C22⋊Q8—44no—
300C22⋊Q8—48no—
301#121—28no—
302#121—44no—
303#121—48no—
304C4×D4—48no—
305C4×D4—44no—
306C4×D4—44no—
307#117—44no—
308#117—44no—
309#117—48no—
310C2×C4⋊C4—22no—
311C2×C4⋊C4—22no—
312C2×C4⋊C4—22no—
313C2×C4⋊C4—22no—
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—24no—
323C2×C4⋊C4—24no—
324C2×C4⋊C4—21no—
325C2×C4⋊C4—21no—
326C2×C4⋊C4—21no—
327C2×C4⋊C4—21no—
328C2×C4⋊C4—21no—
329C2×C4⋊C4—21no—
330C2×C4⋊C4—24no—
331C2×C4⋊C4—42no—
332C2×C4⋊C4—44no—
333C2×C4⋊C4—44no—
334C2×C4⋊C4—82no—
335C2×C4⋊C4C2×D414yes—
336C2×C4⋊C4C2412yes—
337C2×C4⋊C4C2412yes—
338C2×C4⋊C4C2412yes—
339C2×C4⋊C4C2412yes—
340C2×C4⋊C4C2412yes—
341C2×C4⋊C4C2412yes—
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—24no—
351C2×C22⋊C4—42no—
352C2×C22⋊C4—42no—
353C2×C22⋊C4—44no—
354C2×C22⋊C4—44no—
355C2×C22⋊C4—44no—
356C2×C22⋊C4—44no—
357C2×C22⋊C4—44no—
358C2×C22⋊C4—82no—
359C2×C22⋊C4—82no—
360C2×C22⋊C4—82no—
361C2×C22⋊C4—82no—
362C2×C22⋊C4C2×D414yes—
363C2×C22⋊C4C2×D414yes—
364C2×C42—22no—
365C2×C42—22no—
366C2×C42—24no—
367C2×C42—44no—
368C2×C42C2×D412yes—
369C2×C42C2412yes—
370#106—44no—
371#106—44no—
372C4⋊C8—44no—
373#103—28no—
374#103—44no—
375#103—44no—
376#103—44no—
377#102—28no—
378#102—44no—
379#102—44no—
380#102—44no—
381C22⋊C8—44no—
382C22⋊C8—44no—
383C22⋊C8—44no—
384C22⋊C8—44no—
385#97—44no—
386#95—24no—
387#95—24no—
388#95—24no—
389#95—24no—
390#95—24no—
391#95—24no—
392#95—24no—
393#95—24no—
394C24—22no—
395C24—22no—
396C24—22no—
397C24—24no—
398C24—22no—
399C24—22no—
400C24—22no—
401C24—22no—
402C24—22no—
403C24—22no—
404C24—22no—
405C24—22no—
406C24—22no—
407C24—22no—
408C24—22no—
409C24—22no—
410C24—42no—
411C24—42no—
412C24—42no—
413C24—42no—
414C24—42no—
415C24—42no—
416C24C22×D412yes—
417C24C22×D412yes—
418C24C22×D411yescharacteristic
419#41—416no—
420#41—416no—
421#41—416no—
422#41—464no—
423#41—416no—
424C2×Q8—24no—
425C2×Q8—22no—
426C2×Q8—28no—
427C2×Q8—28no—
428C2×Q8—22no—
429C2×Q8—22no—
430C2×Q8—22no—
431C2×Q8—22no—
432C2×Q8—42no—
433C2×Q8—44no—
434C2×Q8—42no—
435C2×Q8—44no—
436C2×Q8C2×#4114yes—
437C2×D4—28no—
438C2×D4—24no—
439C2×D4—28no—
440C2×D4—22no—
441C2×D4—22no—
442C2×D4—22no—
443C2×D4—22no—
444C2×D4—22no—
445C2×D4—44no—
446C2×D4—44no—
447C2×D4—44no—
448C2×D4—48no—
449C2×D4—48no—
450C2×D4—48no—
451C2×D4—416no—
452C2×D4—432no—
453C2×D4—48no—
454C2×D4—48no—
455C2×D4—42no—
456C2×D4—44no—
457C2×D4—42no—
458C2×D4—44no—
459C2×D4—84no—
460C2×D4—816no—
461C2×D4C2×#4114yes—
462C22×C4—22no—
463C22×C4—22no—
464C22×C4—22no—
465C22×C4—22no—
466C22×C4—22no—
467C22×C4—24no—
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—24no—
477C22×C4—24no—
478C22×C4—24no—
479C22×C4—24no—
480C22×C4—24no—
481C22×C4—24no—
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—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—48no—
501C22×C4—48no—
502C22×C4—48no—
503C22×C4—432no—
504C22×C4—42no—
505C22×C4—42no—
506C22×C4—44no—
507C22×C4—44no—
508C22×C4—44no—
509C22×C4—44no—
510C22×C4—44no—
511C22×C4—44no—
512C22×C4—44no—
513C22×C4—44no—
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—42no—
531C22×C4—42no—
532C22×C4C22×D412yes—
533C22×C4C22×D412yes—
534C22×C4C22×D412yes—
535C22×C4C22×D412yes—
536C22×C4C22×D411yescharacteristic
537C22×C4C2×#4112yes—
538C22×C4C2×#4112yes—
539C22×C4H(5,𝔽2)12yes—
540C22×C4H(5,𝔽2)12yes—
541C22×C4H(5,𝔽2)12yes—
542C22×C4H(5,𝔽2)12yes—
543C22×C4C2511yescharacteristic
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—22no—
553C2×C8—22no—
554C2×C8—22no—
555C2×C8—22no—
556C2×C8—44no—
557C2×C8—44no—
558C2×C8—44no—
559C2×C8—44no—
560C4⋊C4—22no—
561C4⋊C4—22no—
562C4⋊C4—22no—
563C4⋊C4—22no—
564C4⋊C4—22no—
565C4⋊C4—22no—
566C4⋊C4—22no—
567C4⋊C4—22no—
568C4⋊C4—22no—
569C4⋊C4—22no—
570C4⋊C4—22no—
571C4⋊C4—22no—
572C4⋊C4—44no—
573C4⋊C4—48no—
574C4⋊C4—48no—
575C4⋊C4—42no—
576C4⋊C4—42no—
577C4⋊C4—42no—
578C4⋊C4—42no—
579C4⋊C4—42no—
580C4⋊C4—42no—
581C4⋊C4—84no—
582C22⋊C4—44no—
583C22⋊C4—44no—
584C22⋊C4—48no—
585C22⋊C4—48no—
586C22⋊C4—48no—
587C22⋊C4—48no—
588C22⋊C4—48no—
589C22⋊C4—84no—
590C22⋊C4—84no—
591C22⋊C4—84no—
592C22⋊C4—84no—
593C42—24no—
594C42—22no—
595C42—22no—
596C42—48no—
597C23—22no—
598C23—22no—
599C23—22no—
600C23—24no—
601C23—22no—
602C23—22no—
603C23—22no—
604C23—22no—
605C23—22no—
606C23—22no—
607C23—22no—
608C23—22no—
609C23—22no—
610C23—22no—
611C23—22no—
612C23—42no—
613C23—44no—
614C23—44no—
615C23—44no—
616C23—44no—
617C23—42no—
618C23—48no—
619C23—44no—
620C23—44no—
621C23—44no—
622C23—44no—
623C23—48no—
624C23—44no—
625C23—48no—
626C23—44no—
627C23—44no—
628C23—44no—
629C23—44no—
630C23—44no—
631C23—42no—
632C23—42no—
633C23—42no—
634C23—42no—
635C23—84no—
636C23—84no—
637C23—84no—
638C23—84no—
639C23#53412yes—
640C23#54612yes—
641C23#54612yes—
642C23#57512yes—
643C23#57512yes—
644C23#57712yes—
645C23#57712yes—
646C23C23×D411yescharacteristic
647Q8—24no—
648Q8—24no—
649Q8—42no—
650Q8—48no—
651Q8—42no—
652D4—24no—
653D4—24no—
654D4—416no—
655D4—432no—
656D4—42no—
657D4—48no—
658D4—42no—
659D4—816no—
660C2×C4—22no—
661C2×C4—22no—
662C2×C4—22no—
663C2×C4—22no—
664C2×C4—22no—
665C2×C4—24no—
666C2×C4—22no—
667C2×C4—22no—
668C2×C4—22no—
669C2×C4—22no—
670C2×C4—22no—
671C2×C4—22no—
672C2×C4—22no—
673C2×C4—432no—
674C2×C4—42no—
675C2×C4—44no—
676C2×C4—44no—
677C2×C4—42no—
678C2×C4—44no—
679C2×C4—44no—
680C2×C4—48no—
681C2×C4—42no—
682C2×C4—42no—
683C2×C4—42no—
684C2×C4—42no—
685C2×C4—48no—
686C2×C4—48no—
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—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—42no—
708C2×C4—42no—
709C2×C4—84no—
710C2×C4—84no—
711C2×C4—84no—
712C2×C4—84no—
713C2×C4—84no—
714C2×C4—84no—
715C2×C4#53412yes—
716C2×C4#53814yes—
717C2×C4#53814yes—
718C2×C4#54612yes—
719C2×C4#54612yes—
720C2×C4#55114yes—
721C2×C4#56014yes—
722C2×C4C22×#4111yescharacteristic
723C2×C4C22×#4111yescharacteristic
724C2×C4C2×H(5,𝔽2)11yescharacteristic
725C2×C4C2×H(5,𝔽2)11yescharacteristic
726C2×C4C2×H(5,𝔽2)11yescharacteristic
727C2×C4C2×H(5,𝔽2)11yescharacteristic
728C8—42no—
729C8—42no—
730C8—42no—
731C8—42no—
732C22—42no—
733C22—42no—
734C22—42no—
735C22—42no—
736C22—44no—
737C22—42no—
738C22—42no—
739C22—42no—
740C22—42no—
741C22—44no—
742C22—42no—
743C22—44no—
744C22—42no—
745C22—42no—
746C22—42no—
747C22—42no—
748C22—42no—
749C22—82no—
750C22—82no—
751C22—88no—
752C22—88no—
753C22—816no—
754C22—82no—
755C22—82no—
756C22#269714yes—
757C22#319714yes—
758C22#320414yes—
759C22#330714yes—
760C22#331114yes—
761C22#331714yes—
762C22#332114yes—
763C22C2×#53411yescharacteristic
764C22C2×#54611yescharacteristic
765C22C2×#54611yescharacteristic
766C22C2×#57511yescharacteristic
767C22C2×#57511yescharacteristic
768C22C2×#57711yescharacteristic
769C22C2×#57711yescharacteristic
770C4—42no—
771C4—42no—
772C4—42no—
773C4—42no—
774C4—44no—
775C4—82no—
776C4—82no—
777C4—82no—
778C4—82no—
779C4—82no—
780C4—82no—
781C4#269714yes—
782C4C2×#53811yescharacteristic
783C4C2×#53811yescharacteristic
784C4C2×#55111yescharacteristic
785C4C2×#56011yescharacteristic
786C2—82no—
787C2—82no—
788C2—84no—
789C2#3168518yesdirect product factor
790C2C2×#269711yescharacteristic
791C2C2×#319711yescharacteristic
792C2C2×#320411yescharacteristic
793C2C2×#330711yescharacteristic
794C2C2×#331111yescharacteristic
795C2C2×#331711yescharacteristic
796C2C2×#332111yescharacteristic
subgroupG/H
center, socleC24C22×D4
commutator, Frattini, cosocleC22×C4C25
prime radicalC2×#2407C2
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C24 ◁ C22×C4×D4 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C2×#2485C2semidirect
3. #31685C2direct (N × H)
4. C2×#2077C2semidirect
5. C2×#2077C2semidirect
6. C2×#2066C2semidirect
7. C2×#2065C2semidirect
8. C2×#2034C2semidirect
9. C2×#2035C2semidirect
10. C2×#1955C2semidirect
11. C2×#1936C2semidirect
12. C2×#1935C2semidirect
13. C2×#1875C2semidirect
14. C2×#1873C2semidirect
15. C2×#1788C2semidirect
16. C2×#1788C2semidirect
39. #2485C22semidirect
58. #2077C22semidirect
59. #2077C22semidirect
60. #2066C22semidirect
61. #2065C22semidirect
62. #2035C22semidirect
63. #2034C22semidirect
64. #1955C22semidirect
65. #1936C22semidirect
66. #1935C22semidirect
67. #1875C22semidirect
68. #1873C22semidirect
69. #1788C22semidirect
70. #1788C22semidirect
789. C2#31685direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#24852
C2×#24072
#316852
C2×#20772
C2×#20662
C2×#20652
C2×#20342
C2×#20352
C2×#19552
C2×#19362
C2×#19352
C2×#18752
C2×#18732
C2×#17882