Finite Group Databasebeta

← C2×#24625 #6453179

Subgroups — C2×#24625 #6453179

Order 512.

2022 conjugacy classes of subgroups.

The subgroup lattice has 822 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3094C211yesmaximal, characteristic
2C22×#482C211yesmaximal, characteristic
3C2×#2924C211yesmaximal, characteristic, complemented
4C2×#2911C211yesmaximal, characteristic, complemented
5#24625C2116yesmaximal, direct product factor
6C2×#2090C211yesmaximal, characteristic, complemented
7C2×#2089C211yesmaximal, characteristic, complemented
8C2×#2063C211yesmaximal, characteristic, complemented
9C2×#2063C211yesmaximal, characteristic, complemented
10C2×#1952C211yesmaximal, characteristic, complemented
11C2×#1951C211yesmaximal, characteristic, complemented
12C2×#1931C211yesmaximal, characteristic, complemented
13C2×#1931C211yesmaximal, characteristic, complemented
14C2×#1900C211yesmaximal, characteristic
15C2×#1855C211yesmaximal, characteristic, complemented
16C2×#1822C211yesmaximal, characteristic, complemented
17C23×M16C2211yescharacteristic
18C22×#121C2211yescharacteristic
19C22×#117C2211yescharacteristic
20C22×#117C2211yescharacteristic
21#3094—24no—
22#3094C2218yes—
23C2×#481—21no—
24C2×#482—21no—
25C2×#482—21no—
26C2×#482—21no—
27C2×#482—21no—
28C2×#482—24no—
29C2×#482—21no—
30C2×#482—21no—
31C2×#482C2218yes—
32C2×#480—21no—
33#2924—24no—
34#2924C2218yescomplemented
35C2×#433—21no—
36C2×#433—21no—
37C2×#432—21no—
38C2×#431—21no—
39C22×#108C2211yescharacteristic
40C22×#108C2211yescharacteristic
41#2911—24no—
42#2911C2218yescomplemented
43C2×#428—21no—
44C2×#428—21no—
45C2×#428C2211yescharacteristic
46C2×#428C2211yescharacteristic
47C2×#428C2211yescharacteristic
48C2×#428C2211yescharacteristic
49C2×#428C2211yescharacteristic
50C2×#428C2211yescharacteristic
51C2×#427—21no—
52C2×#427—21no—
53C22×#107C2211yescharacteristic
54C22×#106C2211yescharacteristic
55C2×#424C2211yescharacteristic
56C2×#424C2211yescharacteristic
57C2×#418C2211yescharacteristic
58C2×#418C2211yescharacteristic
59C22×#102C2211yescharacteristic
60C22×#102C2211yescharacteristic
61C22×#100C2211yescharacteristic
62C22×#100C2211yescharacteristic
63C2×#407C2211yescharacteristic
64C2×#407C2211yescharacteristic
65C22×C22⋊C8C2211yescharacteristic
66C2×#405C2211yescharacteristic
67C2×#405C2211yescharacteristic
68#2090C2218yescomplemented
69#2089C2218yescomplemented
70#2063C2218yescomplemented
71#2063C2218yescomplemented
72#1952C2218yescomplemented
73#1951C2218yescomplemented
74#1931C2218yescomplemented
75#1931C2218yescomplemented
76#1900C2218yes—
77#1855C2218yescomplemented
78#1822C2218yescomplemented
79C2×#343C2211yescharacteristic
80C2×#343C2211yescharacteristic
81C2×#343C2211yescharacteristic
82C2×#343C2211yescharacteristic
83C2×#343C2211yescharacteristic
84C2×#343C2211yescharacteristic
85C2×#341C2211yescharacteristic
86C2×#341C2211yescharacteristic
87C23×D4—21no—
88C23×D4C2311yescharacteristic
89C24×C4C2311yescharacteristic
90C22×M16—21no—
91C22×M16—22no—
92C22×M16—24no—
93C22×M16—24no—
94C22×M16C2311yescharacteristic
95C22×M16C2311yescharacteristic
96C22×M16C2311yescharacteristic
97C22×M16C2311yescharacteristic
98C22×M16C2314yes—
99C22×M16C2311yescharacteristic
100C22×M16C2311yescharacteristic
101C23×C8—21no—
102C23×C8C2311yescharacteristic
103C23×C8C2311yescharacteristic
104C2×#121—22no—
105C2×#121—21no—
106C2×#121—21no—
107C2×#121—22no—
108C2×#121—21no—
109C2×#121—21no—
110C2×#121—22no—
111C2×#121C2314yes—
112C2×#117—21no—
113C2×#117—22no—
114C2×#117—21no—
115C2×#117—22no—
116C2×#117—22no—
117C2×#117—21no—
118C2×#117—22no—
119C2×#117—21no—
120C2×#117—21no—
121C2×#117—21no—
122C2×#117—22no—
123C2×#117D411yescharacteristic
124C2×#117D411yescharacteristic
125C2×#117D414yes—
126C2×#117C2314yes—
127C2×#117C2311yescharacteristic
128C2×#117C2311yescharacteristic
129C2×#117C2314yes—
130C22×C4⋊C4D411yescharacteristic
131C22×C4⋊C4D411yescharacteristic
132C22×C4⋊C4C2311yescharacteristic
133C22×C4⋊C4C2311yescharacteristic
134C22×C4⋊C4C2311yescharacteristic
135C22×C22⋊C4—21no—
136C22×C22⋊C4—21no—
137C22×C22⋊C4—21no—
138C22×C42—21no—
139C22×C42—21no—
140#482—28no—
141#482—28no—
142#482—28no—
143#482—28no—
144#482—28no—
145#482—28no—
146#481—28no—
147#480—28no—
148#433—28no—
149#433—28no—
150#432—28no—
151#431—28no—
152C2×#108—24no—
153C2×#108—24no—
154C2×#108C2314yes—
155C2×#108C2314yes—
156#428—22no—
157#428—22no—
158#428—22no—
159#428—22no—
160#428—22no—
161#428—22no—
162#428—28no—
163#428—28no—
164#428C2314yes—
165#428C2314yes—
166#428C2314yes—
167#428C2314yes—
168#428C2314yes—
169#428C2314yes—
170#427—28no—
171#427—28no—
172C2×#107—21no—
173C2×#107—21no—
174C2×#107—22no—
175C2×#107—21no—
176C2×#107—21no—
177C2×#107—21no—
178C2×#107—21no—
179C2×#107—21no—
180C2×#107—21no—
181C2×#107C2314yes—
182C2×#106—21no—
183C2×#106—21no—
184C2×#106—22no—
185C2×#106—21no—
186C2×#106—21no—
187C2×#106—21no—
188C2×#106—21no—
189C2×#106—21no—
190C2×#106—21no—
191C2×#106C2314yes—
192#424—22no—
193#424—22no—
194#424C2314yes—
195#424C2314yes—
196C2×C4⋊C8—21no—
197C2×C4⋊C8—21no—
198C2×C4⋊C8—21no—
199C2×C4⋊C8—21no—
200#418—22no—
201#418—22no—
202#418C2314yes—
203#418C2314yes—
204C2×#102—21no—
205C2×#102—21no—
206C2×#102—22no—
207C2×#102—21no—
208C2×#102—21no—
209C2×#102—22no—
210C2×#102—21no—
211C2×#102—21no—
212C2×#102—21no—
213C2×#102—21no—
214C2×#102C2314yes—
215C2×#102C2314yes—
216C2×#100—24no—
217C2×#100—24no—
218C2×#100C2314yes—
219C2×#100C2314yes—
220#407—22no—
221#407—22no—
222#407C2314yes—
223#407C2314yes—
224C2×C22⋊C8—21no—
225C2×C22⋊C8—21no—
226C2×C22⋊C8—21no—
227C2×C22⋊C8—21no—
228C2×C22⋊C8D411yescharacteristic
229C2×C22⋊C8D411yescharacteristic
230C2×C22⋊C8D411yescharacteristic
231C2×C22⋊C8D411yescharacteristic
232C2×C22⋊C8D414yes—
233C2×C22⋊C8C2314yes—
234#405—22no—
235#405—22no—
236#405C2314yes—
237#405C2314yes—
238C2×#97—21no—
239C2×#97—21no—
240C2×C4×C8—21no—
241C2×C4×C8—21no—
242#343C2314yes—
243#343C2314yes—
244#343C2314yes—
245#343C2314yes—
246#343C2314yes—
247#343C2314yes—
248#341C2314yes—
249#341C2314yes—
250C25—21no—
251C25#4111yescharacteristic
252C22×D4—24no—
253C22×D4—21no—
254C22×D4—21no—
255C22×D4—21no—
256C22×D4—21no—
257C22×D4—22no—
258C22×D4—22no—
259C22×D4—21no—
260C22×D4—22no—
261C22×D4—22no—
262C22×D4—42no—
263C22×D4—41no—
264C22×D4—41no—
265C22×D4—84no—
266C22×D4C2412yes—
267C23×C4—22no—
268C23×C4—22no—
269C23×C4—22no—
270C23×C4—22no—
271C23×C4—21no—
272C23×C4—21no—
273C23×C4—21no—
274C23×C4—21no—
275C23×C4—21no—
276C23×C4C2×D411yescharacteristic
277C23×C4C2×D411yescharacteristic
278C23×C4C2×D412yes—
279C23×C4C2×D411yescharacteristic
280C23×C4C2×D412yes—
281C23×C4C2×D411yescharacteristic
282C23×C4#4111yescharacteristic
283C23×C4#4112yes—
284C23×C4C2412yes—
285C23×C4C2411yescharacteristic
286C2×M16—216no—
287C2×M16—28no—
288C2×M16—24no—
289C2×M16—21no—
290C2×M16—21no—
291C2×M16—22no—
292C2×M16—22no—
293C2×M16—28no—
294C2×M16—28no—
295C2×M16—21no—
296C2×M16—21no—
297C2×M16—21no—
298C2×M16—21no—
299C2×M16—22no—
300C2×M16—22no—
301C2×M16—22no—
302C2×M16—22no—
303C2×M16—22no—
304C2×M16—22no—
305C2×M16—22no—
306C2×M16—22no—
307C2×M16#4114yes—
308C2×M16#4114yes—
309C2×M16C2412yes—
310C2×M16C2412yes—
311C2×M16C2412yes—
312C2×M16C2412yes—
313C2×M16C2412yes—
314C2×M16C2412yes—
315C22×C8—28no—
316C22×C8—21no—
317C22×C8—21no—
318C22×C8—24no—
319C22×C8—22no—
320C22×C8—22no—
321C22×C8—22no—
322C22×C8—22no—
323C22×C8—21no—
324C22×C8—21no—
325C22×C8—21no—
326C22×C8—21no—
327C22×C8C2×D411yescharacteristic
328C22×C8C2×D411yescharacteristic
329C22×C8C2×D411yescharacteristic
330C22×C8C2×D411yescharacteristic
331C22×C8C2×D412yes—
332C22×C8C2×D412yes—
333C22×C8C2412yes—
334C22×C8C2412yes—
335#121—24no—
336#121—24no—
337#121—24no—
338#121—24no—
339#121—42no—
340#121—42no—
341#121—42no—
342#121—42no—
343#117—24no—
344#117—24no—
345#117—22no—
346#117—22no—
347#117—21no—
348#117—21no—
349#117—24no—
350#117—24no—
351#117—21no—
352#117—21no—
353#117—24no—
354#117—24no—
355#117—24no—
356#117—24no—
357#117—42no—
358#117—42no—
359#117—42no—
360#117—42no—
361#117C2×D412yes—
362#117C2×D412yes—
363#117C2×D414yes—
364#117C2×D414yes—
365#117C2412yes—
366#117C2412yes—
367C2×C4⋊C4—22no—
368C2×C4⋊C4—21no—
369C2×C4⋊C4—21no—
370C2×C4⋊C4—22no—
371C2×C4⋊C4—21no—
372C2×C4⋊C4—21no—
373C2×C4⋊C4—21no—
374C2×C4⋊C4—21no—
375C2×C4⋊C4—21no—
376C2×C4⋊C4—21no—
377C2×C4⋊C4—21no—
378C2×C4⋊C4—21no—
379C2×C4⋊C4—21no—
380C2×C4⋊C4—21no—
381C2×C4⋊C4—21no—
382C2×C4⋊C4—21no—
383C2×C4⋊C4—21no—
384C2×C4⋊C4—21no—
385C2×C4⋊C4—21no—
386C2×C4⋊C4C2×D411yescharacteristic
387C2×C4⋊C4C2×D411yescharacteristic
388C2×C4⋊C4C2×D411yescharacteristic
389C2×C4⋊C4C2×D411yescharacteristic
390C2×C4⋊C4C2×D414yes—
391C2×C4⋊C4C2×D414yes—
392C2×C4⋊C4C2412yes—
393C2×C4⋊C4C2412yes—
394C2×C4⋊C4C2412yes—
395C2×C22⋊C4—24no—
396C2×C22⋊C4—21no—
397C2×C22⋊C4—21no—
398C2×C22⋊C4—24no—
399C2×C22⋊C4—21no—
400C2×C22⋊C4—21no—
401C2×C22⋊C4—24no—
402C2×C22⋊C4—24no—
403C2×C22⋊C4—42no—
404C2×C22⋊C4—41no—
405C2×C22⋊C4—41no—
406C2×C22⋊C4—42no—
407C2×C22⋊C4—41no—
408C2×C22⋊C4—41no—
409C2×C42—24no—
410C2×C42—21no—
411C2×C42—21no—
412C2×C42—21no—
413C2×C42—21no—
414C2×C42—24no—
415C2×C42—24no—
416C2×C42—42no—
417C2×C42—41no—
418C2×C42—41no—
419#108—28no—
420#108—28no—
421#107—24no—
422#107—24no—
423#107—24no—
424#107—24no—
425#107—24no—
426#107—24no—
427#107—24no—
428#107—24no—
429#106—24no—
430#106—24no—
431#106—24no—
432#106—24no—
433#106—24no—
434#106—24no—
435#106—24no—
436#106—24no—
437C4⋊C8—24no—
438C4⋊C8—24no—
439C4⋊C8—24no—
440C4⋊C8—24no—
441#102—24no—
442#102—24no—
443#102—24no—
444#102—24no—
445#102—24no—
446#102—24no—
447#102—24no—
448#102—24no—
449#100—28no—
450#100—28no—
451C22⋊C8—24no—
452C22⋊C8—24no—
453C22⋊C8—24no—
454C22⋊C8—24no—
455C22⋊C8C2×D414yes—
456C22⋊C8C2×D414yes—
457C22⋊C8C2×D414yes—
458C22⋊C8C2×D414yes—
459#97—24no—
460#97—24no—
461C4×C8—24no—
462C4×C8—24no—
463C24—22no—
464C24—22no—
465C24—22no—
466C24—42no—
467C24—42no—
468C24—41no—
469C24—41no—
470C24—42no—
471C24—42no—
472C24—82no—
473C24—82no—
474C24#12111yescharacteristic
475C24#12111yescharacteristic
476C24#12112yes—
477C24C2×#4111yescharacteristic
478C24C2×#4112yes—
479C2×D4—22no—
480C2×D4—22no—
481C2×D4—22no—
482C2×D4—22no—
483C2×D4—22no—
484C2×D4—22no—
485C2×D4—44no—
486C2×D4—44no—
487C2×D4—41no—
488C2×D4—41no—
489C2×D4—42no—
490C2×D4—42no—
491C2×D4—42no—
492C2×D4—42no—
493C2×D4—42no—
494C2×D4—42no—
495C2×D4—42no—
496C2×D4—42no—
497C2×D4—42no—
498C2×D4—42no—
499C2×D4—84no—
500C2×D4—84no—
501C2×D4—88no—
502C2×D4—88no—
503C22×C4—22no—
504C22×C4—22no—
505C22×C4—22no—
506C22×C4—24no—
507C22×C4—22no—
508C22×C4—22no—
509C22×C4—22no—
510C22×C4—24no—
511C22×C4—22no—
512C22×C4—22no—
513C22×C4—22no—
514C22×C4—22no—
515C22×C4—24no—
516C22×C4—24no—
517C22×C4—24no—
518C22×C4—24no—
519C22×C4—22no—
520C22×C4—22no—
521C22×C4—22no—
522C22×C4—22no—
523C22×C4—24no—
524C22×C4—21no—
525C22×C4—21no—
526C22×C4—21no—
527C22×C4—21no—
528C22×C4—24no—
529C22×C4—22no—
530C22×C4—22no—
531C22×C4—22no—
532C22×C4—44no—
533C22×C4—41no—
534C22×C4—41no—
535C22×C4—41no—
536C22×C4—41no—
537C22×C4—41no—
538C22×C4—41no—
539C22×C4—82no—
540C22×C4—82no—
541C22×C4—82no—
542C22×C4—82no—
543C22×C4#12112yes—
544C22×C4#12112yes—
545C22×C4#12112yes—
546C22×C4#12112yes—
547C22×C4#12112yes—
548C22×C4#12111yescharacteristic
549C22×C4#12111yescharacteristic
550C22×C4C22×D412yes—
551C22×C4C22×D412yes—
552C22×C4C22×D412yes—
553C22×C4C22×D412yes—
554C22×C4C22×D411yescharacteristic
555C22×C4C22×D411yescharacteristic
556C22×C4C22×D411yescharacteristic
557C22×C4C22×D411yescharacteristic
558C22×C4C2×#4112yes—
559C22×C4C2×#4111yescharacteristic
560C22×C4C2×#4112yes—
561C22×C4C2×#4112yes—
562C22×C42−1+412yes—
563C22×C42−1+412yes—
564C22×C4C2511yescharacteristic
565M16—216no—
566M16—24no—
567M16—24no—
568M16—22no—
569M16—22no—
570M16—22no—
571M16—22no—
572M16—22no—
573M16—22no—
574M16—22no—
575M16—22no—
576M16—22no—
577M16—22no—
578M16—42no—
579M16—42no—
580M16—42no—
581M16—42no—
582M16C2×#4114yes—
583M16C2×#4114yes—
584C2×C8—216no—
585C2×C8—24no—
586C2×C8—24no—
587C2×C8—22no—
588C2×C8—22no—
589C2×C8—22no—
590C2×C8—22no—
591C2×C8—24no—
592C2×C8—24no—
593C2×C8—22no—
594C2×C8—22no—
595C2×C8—22no—
596C2×C8—22no—
597C2×C8—22no—
598C2×C8—22no—
599C2×C8—22no—
600C2×C8—22no—
601C2×C8—22no—
602C2×C8—22no—
603C2×C8—42no—
604C2×C8—42no—
605C2×C8—42no—
606C2×C8—42no—
607C2×C8C22×D412yes—
608C2×C8C22×D412yes—
609C2×C8C22×D412yes—
610C2×C8C22×D412yes—
611C4⋊C4—24no—
612C4⋊C4—24no—
613C4⋊C4—21no—
614C4⋊C4—21no—
615C4⋊C4—21no—
616C4⋊C4—21no—
617C4⋊C4—22no—
618C4⋊C4—22no—
619C4⋊C4—22no—
620C4⋊C4—22no—
621C4⋊C4—22no—
622C4⋊C4—22no—
623C4⋊C4—41no—
624C4⋊C4—41no—
625C4⋊C4—41no—
626C4⋊C4—41no—
627C4⋊C4—41no—
628C4⋊C4—41no—
629C4⋊C4C22×D412yes—
630C4⋊C4C22×D412yes—
631C4⋊C4C22×D412yes—
632C4⋊C4C22×D412yes—
633C22⋊C4—24no—
634C22⋊C4—24no—
635C22⋊C4—22no—
636C22⋊C4—22no—
637C22⋊C4—22no—
638C22⋊C4—22no—
639C22⋊C4—44no—
640C22⋊C4—44no—
641C22⋊C4—44no—
642C22⋊C4—44no—
643C42—24no—
644C42—24no—
645C42—22no—
646C42—22no—
647C42—22no—
648C42—22no—
649C42—44no—
650C42—44no—
651C23—22no—
652C23—22no—
653C23—22no—
654C23—22no—
655C23—22no—
656C23—22no—
657C23—22no—
658C23—22no—
659C23—24no—
660C23—22no—
661C23—22no—
662C23—42no—
663C23—42no—
664C23—42no—
665C23—42no—
666C23—42no—
667C23—42no—
668C23—42no—
669C23—84no—
670C23—84no—
671C23—82no—
672C23—82no—
673C23—82no—
674C23—82no—
675C23—82no—
676C23—82no—
677C23—82no—
678C23—82no—
679C23—164no—
680C23—164no—
681C23C2×#12112yes—
682C23C2×#12112yes—
683C23C2×#12111yescharacteristic
684C23C2×#12111yescharacteristic
685C23#55212yes—
686C23#55212yes—
687C23C22×#4111yescharacteristic
688D4—42no—
689D4—42no—
690D4—42no—
691D4—42no—
692D4—88no—
693D4—88no—
694D4—82no—
695D4—82no—
696C2×C4—24no—
697C2×C4—22no—
698C2×C4—22no—
699C2×C4—22no—
700C2×C4—22no—
701C2×C4—22no—
702C2×C4—22no—
703C2×C4—24no—
704C2×C4—24no—
705C2×C4—24no—
706C2×C4—24no—
707C2×C4—22no—
708C2×C4—22no—
709C2×C4—22no—
710C2×C4—22no—
711C2×C4—22no—
712C2×C4—22no—
713C2×C4—22no—
714C2×C4—22no—
715C2×C4—22no—
716C2×C4—22no—
717C2×C4—48no—
718C2×C4—42no—
719C2×C4—42no—
720C2×C4—42no—
721C2×C4—42no—
722C2×C4—42no—
723C2×C4—42no—
724C2×C4—42no—
725C2×C4—84no—
726C2×C4—82no—
727C2×C4—82no—
728C2×C4—82no—
729C2×C4—82no—
730C2×C4—82no—
731C2×C4—82no—
732C2×C4—82no—
733C2×C4—82no—
734C2×C4—82no—
735C2×C4C2×#12112yes—
736C2×C4C2×#12112yes—
737C2×C4C2×#12111yescharacteristic
738C2×C4C2×#12111yescharacteristic
739C2×C4#52512yes—
740C2×C4#52512yes—
741C2×C4#53612yes—
742C2×C4#53612yes—
743C2×C4#54712yes—
744C2×C4#54712yes—
745C2×C4#54712yes—
746C2×C4#54712yes—
747C2×C4#55212yes—
748C2×C4#55212yes—
749C2×C4C23×D411yescharacteristic
750C2×C4C23×D411yescharacteristic
751C2×C4C22×#4111yescharacteristic
752C2×C4C22×#4111yescharacteristic
753C2×C4C2×2−1+411yescharacteristic
754C2×C4C2×2−1+411yescharacteristic
755C8—24no—
756C8—24no—
757C8—22no—
758C8—22no—
759C8—22no—
760C8—22no—
761C8—42no—
762C8—42no—
763C8—42no—
764C8—42no—
765C22—24no—
766C22—24no—
767C22—21no—
768C22—21no—
769C22—21no—
770C22—21no—
771C22—22no—
772C22—22no—
773C22—22no—
774C22—22no—
775C22—22no—
776C22—22no—
777C22—44no—
778C22—44no—
779C22—84no—
780C22—82no—
781C22—82no—
782C22—82no—
783C22—82no—
784C22—82no—
785C22—162no—
786C22—162no—
787C22—164no—
788C22—164no—
789C22#241312yes—
790C22#241312yes—
791C22#306712yes—
792C22#306812yes—
793C22C22×#12111yescharacteristic
794C22C2×#55211yescharacteristic
795C22C2×#55211yescharacteristic
796C4—22no—
797C4—22no—
798C4—42no—
799C4—42no—
800C4—42no—
801C4—42no—
802C4—82no—
803C4—82no—
804C4—82no—
805C4#241312yes—
806C4#241312yes—
807C4C2×#52511yescharacteristic
808C4C2×#53611yescharacteristic
809C4C2×#54711yescharacteristic
810C4C2×#54711yescharacteristic
811C2—22no—
812C2—21no—
813C2—21no—
814C2—42no—
815C2—42no—
816C2—162no—
817C2#2462514yesdirect product factor
818C2C2×#241311yescharacteristic
819C2C2×#306711yescharacteristic
820C2C2×#306811yescharacteristic
subgroupG/H
center, socleC23C2×#121
commutator, Frattini, cosocleC22×C4C25
prime radicalC22×#121C22
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ C24×C4 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
3. C2×#2924C2semidirect
4. C2×#2911C2semidirect
5. #24625C2direct (N × H)
6. C2×#2090C2semidirect
7. C2×#2089C2semidirect
8. C2×#2063C2semidirect
9. C2×#2063C2semidirect
10. C2×#1952C2semidirect
11. C2×#1951C2semidirect
12. C2×#1931C2semidirect
13. C2×#1931C2semidirect
15. C2×#1855C2semidirect
16. C2×#1822C2semidirect
34. #2924C22semidirect
42. #2911C22semidirect
68. #2090C22semidirect
69. #2089C22semidirect
70. #2063C22semidirect
71. #2063C22semidirect
72. #1952C22semidirect
73. #1951C22semidirect
74. #1931C22semidirect
75. #1931C22semidirect
77. #1855C22semidirect
78. #1822C22semidirect
817. C2#24625direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#30942
C22×#4822
C2×#29242
C2×#29112
#246252
C2×#20902
C2×#20892
C2×#20632
C2×#19522
C2×#19512
C2×#19312
C2×#19002
C2×#18552
C2×#18222