Finite Group Databasebeta

← C2×#24624 #6453178

Subgroups — C2×#24624 #6453178

Order 512.

1936 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×#3095C211yesmaximal, characteristic
2C22×#485C211yesmaximal, characteristic
3C2×#2924C211yesmaximal, characteristic
4C2×#2911C211yesmaximal, characteristic
5#24624C2116yesmaximal, direct product factor
6C2×#2090C211yesmaximal, characteristic, complemented
7C2×#2089C211yesmaximal, characteristic, complemented
8C2×#2064C211yesmaximal, characteristic, complemented
9C2×#2064C211yesmaximal, characteristic, complemented
10C2×#1952C211yesmaximal, characteristic, complemented
11C2×#1951C211yesmaximal, characteristic, complemented
12C2×#1930C211yesmaximal, characteristic, complemented
13C2×#1930C211yesmaximal, characteristic, complemented
14C2×#1901C211yesmaximal, characteristic
15C2×#1855C211yesmaximal, characteristic
16C2×#1822C211yesmaximal, characteristic
17C23×M16C2211yescharacteristic
18C22×C22⋊Q8C2211yescharacteristic
19C22×#117C2211yescharacteristic
20C22×#117C2211yescharacteristic
21#3095—24no—
22#3095C2218yes—
23C2×#484—21no—
24C2×#485—21no—
25C2×#485—21no—
26C2×#485—21no—
27C2×#485—21no—
28C2×#485—24no—
29C2×#485—21no—
30C2×#485—21no—
31C2×#485C2218yes—
32C2×#483—21no—
33#2924—24no—
34#2924C2218yes—
35C2×#433—21no—
36C2×#433—21no—
37C2×#432—21no—
38C2×#431—21no—
39C22×#108C2211yescharacteristic
40C22×#108C2211yescharacteristic
41#2911—24no—
42#2911C2218yes—
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×#419C2211yescharacteristic
58C2×#419C2211yescharacteristic
59C22×#103C2211yescharacteristic
60C22×#103C2211yescharacteristic
61C22×#101C2211yescharacteristic
62C22×#101C2211yescharacteristic
63C2×#407C2211yescharacteristic
64C2×#407C2211yescharacteristic
65C22×C22⋊C8C2211yescharacteristic
66C2×#405C2211yescharacteristic
67C2×#405C2211yescharacteristic
68#2090C2218yescomplemented
69#2089C2218yescomplemented
70#2064C2218yescomplemented
71#2064C2218yescomplemented
72#1952C2218yescomplemented
73#1951C2218yescomplemented
74#1930C2218yescomplemented
75#1930C2218yescomplemented
76#1901C2218yes—
77#1855C2218yes—
78#1822C2218yes—
79C2×#343C2211yescharacteristic
80C2×#343C2211yescharacteristic
81C2×#343C2211yescharacteristic
82C2×#343C2211yescharacteristic
83C2×#343C2211yescharacteristic
84C2×#343C2211yescharacteristic
85C2×#341C2211yescharacteristic
86C2×#341C2211yescharacteristic
87C23×Q8C2311yescharacteristic
88C24×C4C2311yescharacteristic
89C22×M16—21no—
90C22×M16—22no—
91C22×M16—24no—
92C22×M16—24no—
93C22×M16C2311yescharacteristic
94C22×M16C2311yescharacteristic
95C22×M16C2311yescharacteristic
96C22×M16C2311yescharacteristic
97C22×M16C2314yes—
98C22×M16C2311yescharacteristic
99C22×M16C2311yescharacteristic
100C23×C8—21no—
101C23×C8C2311yescharacteristic
102C23×C8C2311yescharacteristic
103C2×C22⋊Q8—22no—
104C2×C22⋊Q8—21no—
105C2×C22⋊Q8—21no—
106C2×C22⋊Q8—22no—
107C2×C22⋊Q8—21no—
108C2×C22⋊Q8—21no—
109C2×C22⋊Q8—22no—
110C2×C22⋊Q8C2314yes—
111C2×#117—21no—
112C2×#117—22no—
113C2×#117—21no—
114C2×#117—22no—
115C2×#117—22no—
116C2×#117—21no—
117C2×#117—22no—
118C2×#117—21no—
119C2×#117—21no—
120C2×#117—21no—
121C2×#117—22no—
122C2×#117D411yescharacteristic
123C2×#117D411yescharacteristic
124C2×#117D414yes—
125C2×#117C2314yes—
126C2×#117C2311yescharacteristic
127C2×#117C2311yescharacteristic
128C2×#117C2314yes—
129C22×C4⋊C4—21no—
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#485—28no—
141#485—28no—
142#485—28no—
143#485—28no—
144#485—28no—
145#485—28no—
146#484—28no—
147#483—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#419—22no—
201#419—22no—
202#419C2314yes—
203#419C2314yes—
204C2×#103—21no—
205C2×#103—21no—
206C2×#103—22no—
207C2×#103—21no—
208C2×#103—21no—
209C2×#103—22no—
210C2×#103—21no—
211C2×#103—21no—
212C2×#103—21no—
213C2×#103—21no—
214C2×#103C2314yes—
215C2×#103C2314yes—
216C2×#101—24no—
217C2×#101—24no—
218C2×#101C2314yes—
219C2×#101C2314yes—
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#4111yescharacteristic
251C22×Q8—21no—
252C22×Q8—21no—
253C22×Q8—21no—
254C22×Q8—21no—
255C22×Q8—21no—
256C22×Q8—22no—
257C22×Q8—22no—
258C22×Q8—22no—
259C22×Q8—22no—
260C22×Q8C2412yes—
261C23×C4—22no—
262C23×C4—22no—
263C23×C4—22no—
264C23×C4—22no—
265C23×C4—21no—
266C23×C4—21no—
267C23×C4—21no—
268C23×C4—21no—
269C23×C4—21no—
270C23×C4—21no—
271C23×C4C2×D411yescharacteristic
272C23×C4C2×D411yescharacteristic
273C23×C4C2×D412yes—
274C23×C4C2×D411yescharacteristic
275C23×C4C2×D412yes—
276C23×C4C2×D411yescharacteristic
277C23×C4#4111yescharacteristic
278C23×C4#4112yes—
279C23×C4C2412yes—
280C23×C4C2411yescharacteristic
281C2×M16—216no—
282C2×M16—28no—
283C2×M16—24no—
284C2×M16—21no—
285C2×M16—21no—
286C2×M16—22no—
287C2×M16—22no—
288C2×M16—28no—
289C2×M16—28no—
290C2×M16—21no—
291C2×M16—21no—
292C2×M16—21no—
293C2×M16—21no—
294C2×M16—22no—
295C2×M16—22no—
296C2×M16—22no—
297C2×M16—22no—
298C2×M16—22no—
299C2×M16—22no—
300C2×M16—22no—
301C2×M16—22no—
302C2×M16#4114yes—
303C2×M16#4114yes—
304C2×M16C2412yes—
305C2×M16C2412yes—
306C2×M16C2412yes—
307C2×M16C2412yes—
308C2×M16C2412yes—
309C2×M16C2412yes—
310C22×C8—28no—
311C22×C8—21no—
312C22×C8—21no—
313C22×C8—24no—
314C22×C8—22no—
315C22×C8—22no—
316C22×C8—22no—
317C22×C8—22no—
318C22×C8—21no—
319C22×C8—21no—
320C22×C8—21no—
321C22×C8—21no—
322C22×C8C2×D411yescharacteristic
323C22×C8C2×D411yescharacteristic
324C22×C8C2×D411yescharacteristic
325C22×C8C2×D411yescharacteristic
326C22×C8C2×D412yes—
327C22×C8C2×D412yes—
328C22×C8C2412yes—
329C22×C8C2412yes—
330C22⋊Q8—24no—
331C22⋊Q8—24no—
332C22⋊Q8—24no—
333C22⋊Q8—24no—
334C22⋊Q8—42no—
335C22⋊Q8—42no—
336C22⋊Q8—42no—
337C22⋊Q8—42no—
338#117—24no—
339#117—24no—
340#117—22no—
341#117—22no—
342#117—21no—
343#117—21no—
344#117—24no—
345#117—24no—
346#117—21no—
347#117—21no—
348#117—24no—
349#117—24no—
350#117—24no—
351#117—24no—
352#117—42no—
353#117—42no—
354#117—42no—
355#117—42no—
356#117C2×D412yes—
357#117C2×D412yes—
358#117C2×D414yes—
359#117C2×D414yes—
360#117C2412yes—
361#117C2412yes—
362C2×C4⋊C4—22no—
363C2×C4⋊C4—21no—
364C2×C4⋊C4—21no—
365C2×C4⋊C4—22no—
366C2×C4⋊C4—21no—
367C2×C4⋊C4—21no—
368C2×C4⋊C4—21no—
369C2×C4⋊C4—21no—
370C2×C4⋊C4—21no—
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—24no—
379C2×C4⋊C4—21no—
380C2×C4⋊C4—21no—
381C2×C4⋊C4—21no—
382C2×C4⋊C4—42no—
383C2×C4⋊C4—41no—
384C2×C4⋊C4—41no—
385C2×C4⋊C4C2×D411yescharacteristic
386C2×C4⋊C4C2×D411yescharacteristic
387C2×C4⋊C4C2×D411yescharacteristic
388C2×C4⋊C4C2×D411yescharacteristic
389C2×C4⋊C4C2×D414yes—
390C2×C4⋊C4C2×D414yes—
391C2×C4⋊C4C2412yes—
392C2×C4⋊C4C2412yes—
393C2×C4⋊C4C2412yes—
394C2×C22⋊C4—24no—
395C2×C22⋊C4—21no—
396C2×C22⋊C4—21no—
397C2×C22⋊C4—24no—
398C2×C22⋊C4—21no—
399C2×C22⋊C4—21no—
400C2×C22⋊C4—24no—
401C2×C22⋊C4—24no—
402C2×C22⋊C4—42no—
403C2×C22⋊C4—41no—
404C2×C22⋊C4—41no—
405C2×C22⋊C4—42no—
406C2×C22⋊C4—41no—
407C2×C22⋊C4—41no—
408C2×C42—24no—
409C2×C42—21no—
410C2×C42—21no—
411C2×C42—21no—
412C2×C42—21no—
413C2×C42—24no—
414C2×C42—24no—
415C2×C42—42no—
416C2×C42—41no—
417C2×C42—41no—
418#108—28no—
419#108—28no—
420#107—24no—
421#107—24no—
422#107—24no—
423#107—24no—
424#107—24no—
425#107—24no—
426#107—24no—
427#107—24no—
428#106—24no—
429#106—24no—
430#106—24no—
431#106—24no—
432#106—24no—
433#106—24no—
434#106—24no—
435#106—24no—
436C4⋊C8—24no—
437C4⋊C8—24no—
438C4⋊C8—24no—
439C4⋊C8—24no—
440#103—24no—
441#103—24no—
442#103—24no—
443#103—24no—
444#103—24no—
445#103—24no—
446#103—24no—
447#103—24no—
448#101—28no—
449#101—28no—
450C22⋊C8—24no—
451C22⋊C8—24no—
452C22⋊C8—24no—
453C22⋊C8—24no—
454C22⋊C8C2×D414yes—
455C22⋊C8C2×D414yes—
456C22⋊C8C2×D414yes—
457C22⋊C8C2×D414yes—
458#97—24no—
459#97—24no—
460C4×C8—24no—
461C4×C8—24no—
462C24—22no—
463C24—22no—
464C24—42no—
465C24—42no—
466C24#12111yescharacteristic
467C24#12111yescharacteristic
468C24#12112yes—
469C24C2×#4111yescharacteristic
470C24C2×#4112yes—
471C2×Q8—22no—
472C2×Q8—22no—
473C2×Q8—22no—
474C2×Q8—22no—
475C2×Q8—22no—
476C2×Q8—22no—
477C2×Q8—41no—
478C2×Q8—41no—
479C2×Q8—42no—
480C2×Q8—42no—
481C2×Q8—42no—
482C2×Q8—42no—
483C2×Q8—42no—
484C2×Q8—42no—
485C2×Q8—42no—
486C2×Q8—42no—
487C2×Q8—42no—
488C2×Q8—42no—
489C22×C4—22no—
490C22×C4—22no—
491C22×C4—22no—
492C22×C4—24no—
493C22×C4—22no—
494C22×C4—22no—
495C22×C4—22no—
496C22×C4—24no—
497C22×C4—22no—
498C22×C4—22no—
499C22×C4—22no—
500C22×C4—22no—
501C22×C4—24no—
502C22×C4—24no—
503C22×C4—24no—
504C22×C4—24no—
505C22×C4—22no—
506C22×C4—22no—
507C22×C4—22no—
508C22×C4—22no—
509C22×C4—24no—
510C22×C4—21no—
511C22×C4—21no—
512C22×C4—21no—
513C22×C4—21no—
514C22×C4—24no—
515C22×C4—22no—
516C22×C4—22no—
517C22×C4—22no—
518C22×C4—22no—
519C22×C4—44no—
520C22×C4—41no—
521C22×C4—41no—
522C22×C4—41no—
523C22×C4—41no—
524C22×C4—41no—
525C22×C4—41no—
526C22×C4—41no—
527C22×C4—41no—
528C22×C4—42no—
529C22×C4—42no—
530C22×C4—82no—
531C22×C4—82no—
532C22×C4—82no—
533C22×C4—82no—
534C22×C4#12112yes—
535C22×C4#12112yes—
536C22×C4#12112yes—
537C22×C4#12112yes—
538C22×C4#12112yes—
539C22×C4#12111yescharacteristic
540C22×C4#12111yescharacteristic
541C22×C4C22×D412yes—
542C22×C4C22×D412yes—
543C22×C4C22×D412yes—
544C22×C4C22×D412yes—
545C22×C4C22×D411yescharacteristic
546C22×C4C22×D411yescharacteristic
547C22×C4C22×D411yescharacteristic
548C22×C4C22×D411yescharacteristic
549C22×C4C2×#4112yes—
550C22×C4C2×#4111yescharacteristic
551C22×C4C2×#4112yes—
552C22×C4C2×#4112yes—
553C22×C42−1+412yes—
554C22×C42−1+412yes—
555C22×C4C2511yescharacteristic
556M16—216no—
557M16—24no—
558M16—24no—
559M16—22no—
560M16—22no—
561M16—22no—
562M16—22no—
563M16—22no—
564M16—22no—
565M16—22no—
566M16—22no—
567M16—22no—
568M16—22no—
569M16—42no—
570M16—42no—
571M16—42no—
572M16—42no—
573M16C2×#4114yes—
574M16C2×#4114yes—
575C2×C8—216no—
576C2×C8—24no—
577C2×C8—24no—
578C2×C8—22no—
579C2×C8—22no—
580C2×C8—22no—
581C2×C8—22no—
582C2×C8—24no—
583C2×C8—24no—
584C2×C8—22no—
585C2×C8—22no—
586C2×C8—22no—
587C2×C8—22no—
588C2×C8—22no—
589C2×C8—22no—
590C2×C8—22no—
591C2×C8—22no—
592C2×C8—22no—
593C2×C8—22no—
594C2×C8—42no—
595C2×C8—42no—
596C2×C8—42no—
597C2×C8—42no—
598C2×C8C22×D412yes—
599C2×C8C22×D412yes—
600C2×C8C22×D412yes—
601C2×C8C22×D412yes—
602C4⋊C4—24no—
603C4⋊C4—24no—
604C4⋊C4—21no—
605C4⋊C4—21no—
606C4⋊C4—21no—
607C4⋊C4—21no—
608C4⋊C4—22no—
609C4⋊C4—22no—
610C4⋊C4—22no—
611C4⋊C4—22no—
612C4⋊C4—22no—
613C4⋊C4—22no—
614C4⋊C4—41no—
615C4⋊C4—41no—
616C4⋊C4—41no—
617C4⋊C4—41no—
618C4⋊C4—41no—
619C4⋊C4—41no—
620C4⋊C4—44no—
621C4⋊C4—44no—
622C4⋊C4C22×D412yes—
623C4⋊C4C22×D412yes—
624C4⋊C4C22×D412yes—
625C4⋊C4C22×D412yes—
626C22⋊C4—24no—
627C22⋊C4—24no—
628C22⋊C4—22no—
629C22⋊C4—22no—
630C22⋊C4—22no—
631C22⋊C4—22no—
632C22⋊C4—44no—
633C22⋊C4—44no—
634C22⋊C4—44no—
635C22⋊C4—44no—
636C42—24no—
637C42—24no—
638C42—22no—
639C42—22no—
640C42—22no—
641C42—22no—
642C42—44no—
643C42—44no—
644C23—22no—
645C23—22no—
646C23—22no—
647C23—22no—
648C23—22no—
649C23—22no—
650C23—22no—
651C23—22no—
652C23—24no—
653C23—22no—
654C23—22no—
655C23—42no—
656C23—42no—
657C23—42no—
658C23—42no—
659C23—84no—
660C23—84no—
661C23C2×#12112yes—
662C23C2×#12112yes—
663C23C2×#12111yescharacteristic
664C23C2×#12111yescharacteristic
665C23#55212yes—
666C23#55212yes—
667C23C22×#4111yescharacteristic
668Q8—42no—
669Q8—42no—
670Q8—42no—
671Q8—42no—
672Q8—82no—
673Q8—82no—
674C2×C4—24no—
675C2×C4—22no—
676C2×C4—22no—
677C2×C4—22no—
678C2×C4—22no—
679C2×C4—22no—
680C2×C4—22no—
681C2×C4—24no—
682C2×C4—24no—
683C2×C4—24no—
684C2×C4—24no—
685C2×C4—22no—
686C2×C4—22no—
687C2×C4—22no—
688C2×C4—22no—
689C2×C4—22no—
690C2×C4—22no—
691C2×C4—22no—
692C2×C4—22no—
693C2×C4—22no—
694C2×C4—22no—
695C2×C4—48no—
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—84no—
707C2×C4—82no—
708C2×C4—82no—
709C2×C4—82no—
710C2×C4—82no—
711C2×C4—82no—
712C2×C4—82no—
713C2×C4—82no—
714C2×C4—82no—
715C2×C4—82no—
716C2×C4—82no—
717C2×C4—82no—
718C2×C4C2×#12112yes—
719C2×C4C2×#12112yes—
720C2×C4C2×#12111yescharacteristic
721C2×C4C2×#12111yescharacteristic
722C2×C4#52512yes—
723C2×C4#52512yes—
724C2×C4#53612yes—
725C2×C4#53612yes—
726C2×C4#54712yes—
727C2×C4#54712yes—
728C2×C4#54712yes—
729C2×C4#54712yes—
730C2×C4#55212yes—
731C2×C4#55212yes—
732C2×C4C23×D411yescharacteristic
733C2×C4C23×D411yescharacteristic
734C2×C4C22×#4111yescharacteristic
735C2×C4C22×#4111yescharacteristic
736C2×C4C2×2−1+411yescharacteristic
737C2×C4C2×2−1+411yescharacteristic
738C8—24no—
739C8—24no—
740C8—22no—
741C8—22no—
742C8—22no—
743C8—22no—
744C8—42no—
745C8—42no—
746C8—42no—
747C8—42no—
748C22—24no—
749C22—24no—
750C22—21no—
751C22—21no—
752C22—21no—
753C22—21no—
754C22—22no—
755C22—22no—
756C22—22no—
757C22—22no—
758C22—22no—
759C22—22no—
760C22—44no—
761C22—44no—
762C22—84no—
763C22—82no—
764C22—82no—
765C22#241312yes—
766C22#241312yes—
767C22#306712yes—
768C22#306912yes—
769C22C22×#12111yescharacteristic
770C22C2×#55211yescharacteristic
771C22C2×#55211yescharacteristic
772C4—22no—
773C4—22no—
774C4—42no—
775C4—42no—
776C4—42no—
777C4—42no—
778C4—82no—
779C4—82no—
780C4—82no—
781C4—82no—
782C4#241312yes—
783C4#241312yes—
784C4C2×#52511yescharacteristic
785C4C2×#53611yescharacteristic
786C4C2×#54711yescharacteristic
787C4C2×#54711yescharacteristic
788C2—22no—
789C2—21no—
790C2—21no—
791C2—42no—
792C2—42no—
793C2#2462414yesdirect product factor
794C2C2×#241311yescharacteristic
795C2C2×#306711yescharacteristic
796C2C2×#306911yescharacteristic
subgroupG/H
center, socleC23C2×#121
commutator, Frattini, cosocleC22×C4C25
prime radicalC25#41
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
5. #24624C2direct (N × H)
6. C2×#2090C2semidirect
7. C2×#2089C2semidirect
8. C2×#2064C2semidirect
9. C2×#2064C2semidirect
10. C2×#1952C2semidirect
11. C2×#1951C2semidirect
12. C2×#1930C2semidirect
13. C2×#1930C2semidirect
68. #2090C22semidirect
69. #2089C22semidirect
70. #2064C22semidirect
71. #2064C22semidirect
72. #1952C22semidirect
73. #1951C22semidirect
74. #1930C22semidirect
75. #1930C22semidirect
793. C2#24624direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#30952
C22×#4852
C2×#29242
C2×#29112
#246242
C2×#20902
C2×#20892
C2×#20642
C2×#19522
C2×#19512
C2×#19302
C2×#19012
C2×#18552
C2×#18222