Finite Group Databasebeta

← C2×#26931 #6443513

Subgroups — C2×#26931 #6443513

Order 512.

2684 conjugacy classes of subgroups.

The subgroup lattice has 775 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#480C211yesmaximal, characteristic
2C22×#464C211yesmaximal, characteristic, complemented
3C2×#2427C211yesmaximal, characteristic
4C2×#2360C211yesmaximal, characteristic, complemented
5#26931C2116yesmaximal, direct product factor
6C2×#2086C211yesmaximal, characteristic, complemented
7C2×#2042C211yesmaximal, characteristic, complemented
8C2×#2001C211yesmaximal, characteristic, complemented
9C2×#2000C211yesmaximal, characteristic
10C2×#1969C211yesmaximal, characteristic, complemented
11C2×#1928C211yesmaximal, characteristic, complemented
12C2×#1923C211yesmaximal, characteristic, complemented
13C2×#1877C211yesmaximal, characteristic, complemented
14C2×#1872C211yesmaximal, characteristic, complemented
15C2×#1863C211yesmaximal, characteristic, complemented
16C2×C4×#102C211yesmaximal, characteristic, complemented
17C23×Q16C2211yescharacteristic
18C23×SD16C2211yescharacteristic
19C22×#124C2211yescharacteristic
20C22×C22⋊Q8C2211yescharacteristic
21C22×C22⋊Q8C2211yescharacteristic
22C22×#121C2211yescharacteristic
23C22×C4×Q8C2211yescharacteristic
24C22×C4×D4C2211yescharacteristic
25C23×C4⋊C4C2211yescharacteristic
26C2×#480—28no—
27C2×#480C2218yes—
28C2×#464—28no—
29C2×#464C2218yescomplemented
30C22×#107C2211yescharacteristic
31C22×#107C2211yescharacteristic
32C22×C4⋊C8C2211yescharacteristic
33C22×#103C2211yescharacteristic
34C22×#103C2211yescharacteristic
35C22×#103C2211yescharacteristic
36C22×#103C2211yescharacteristic
37C22×#103C2211yescharacteristic
38C22×#102C2211yescharacteristic
39C22×#102C2211yescharacteristic
40C22×#102C2211yescharacteristic
41C22×C22⋊C8C2211yescharacteristic
42C22×C22⋊C8C2211yescharacteristic
43C22×C4×C8C2211yescharacteristic
44#2427—24no—
45#2427C2218yes—
46C2×#397—21no—
47C2×#394—21no—
48#2360—24no—
49#2360C2218yescomplemented
50C2×#391C2211yescharacteristic
51C2×#391C2211yescharacteristic
52C2×#389—21no—
53C2×#389C2211yescharacteristic
54C2×#389C2211yescharacteristic
55C2×#387—21no—
56C2×#386—21no—
57C2×#385—21no—
58C2×#380—21no—
59C2×C4×C4⋊C4C2211yescharacteristic
60C2×C4×C22⋊C4—21no—
61C2×C4×C22⋊C4C2211yescharacteristic
62#2086C2218yescomplemented
63#2042C2218yescomplemented
64#2001C2218yescomplemented
65#2000C2218yes—
66#1969C2218yescomplemented
67#1928C2218yescomplemented
68#1923C2218yescomplemented
69#1877C2218yescomplemented
70#1872C2218yescomplemented
71#1863C2218yescomplemented
72C4×#102C2218yescomplemented
73C2×#340C2211yescharacteristic
74C2×#340C2211yescharacteristic
75C2×#340C2211yescharacteristic
76C2×#340C2211yescharacteristic
77C2×#336C2211yescharacteristic
78C2×#336C2211yescharacteristic
79C23×Q8C2311yescharacteristic
80C23×Q8C2311yescharacteristic
81C23×D4—21no—
82C23×D4C2311yescharacteristic
83C24×C4—21no—
84C24×C4—21no—
85C24×C4C2311yescharacteristic
86C22×Q16—24no—
87C22×Q16—24no—
88C22×Q16—42no—
89C22×Q16C2314yes—
90C22×SD16—24no—
91C22×SD16—24no—
92C22×SD16—42no—
93C22×SD16C2314yes—
94C23×C8C2311yescharacteristic
95C23×C8C2311yescharacteristic
96C23×C8C2311yescharacteristic
97C23×C8C2311yescharacteristic
98C2×#124—24no—
99C2×#124—22no—
100C2×#124—42no—
101C2×#124C2314yes—
102C2×C22⋊Q8—24no—
103C2×C22⋊Q8—22no—
104C2×C22⋊Q8—22no—
105C2×C22⋊Q8—24no—
106C2×C22⋊Q8—24no—
107C2×C22⋊Q8—42no—
108C2×C22⋊Q8C2314yes—
109C2×C22⋊Q8C2314yes—
110C2×#121—22no—
111C2×#121—24no—
112C2×#121—42no—
113C2×#121C2314yes—
114C2×C4×Q8—22no—
115C2×C4×Q8—24no—
116C2×C4×Q8—42no—
117C2×C4×Q8C2314yes—
118C2×C4×D4—24no—
119C2×C4×D4—22no—
120C2×C4×D4—42no—
121C2×C4×D4C2314yes—
122C22×C4⋊C4—21no—
123C22×C4⋊C4—24no—
124C22×C4⋊C4—22no—
125C22×C4⋊C4—21no—
126C22×C4⋊C4—21no—
127C22×C4⋊C4—21no—
128C22×C4⋊C4—21no—
129C22×C4⋊C4—21no—
130C22×C4⋊C4—42no—
131C22×C4⋊C4C2311yescharacteristic
132C22×C4⋊C4C2311yescharacteristic
133C22×C4⋊C4C2314yes—
134C22×C4⋊C4C2311yescharacteristic
135C22×C4⋊C4C2311yescharacteristic
136C22×C4⋊C4C2311yescharacteristic
137C22×C22⋊C4—21no—
138C22×C22⋊C4—21no—
139C22×C22⋊C4—21no—
140C22×C22⋊C4—21no—
141C22×C22⋊C4—21no—
142C22×C22⋊C4—21no—
143C22×C22⋊C4D411yescharacteristic
144C22×C22⋊C4D411yescharacteristic
145C22×C42—21no—
146C22×C42—21no—
147C22×C42C2311yescharacteristic
148C22×C42C2311yescharacteristic
149#480—232no—
150#464—232no—
151C2×#107—24no—
152C2×#107—24no—
153C2×#107C2314yes—
154C2×#107C2314yes—
155C2×C4⋊C8—24no—
156C2×C4⋊C8C2314yes—
157C2×#103—24no—
158C2×#103—24no—
159C2×#103—24no—
160C2×#103—42no—
161C2×#103—42no—
162C2×#103C2314yes—
163C2×#103C2314yes—
164C2×#103C2314yes—
165C2×#103C2314yes—
166C2×#103C2314yes—
167C2×#102—24no—
168C2×#102—24no—
169C2×#102D418yes—
170C2×#102C2314yes—
171C2×#102C2314yes—
172C2×#102C2314yes—
173C2×C22⋊C8—24no—
174C2×C22⋊C8—42no—
175C2×C22⋊C8C2314yes—
176C2×C22⋊C8C2314yes—
177C2×C4×C8—42no—
178C2×C4×C8C2314yes—
179#397—28no—
180#394—28no—
181#391—22no—
182#391—22no—
183#391C2314yes—
184#391C2314yes—
185#389—22no—
186#389—22no—
187#389—28no—
188#389C2314yes—
189#389C2314yes—
190#387—28no—
191#386—28no—
192#385—28no—
193#380—28no—
194C4×C4⋊C4—22no—
195C4×C4⋊C4C2314yes—
196C4×C22⋊C4—28no—
197C4×C22⋊C4D414yes—
198C4×C22⋊C4C2314yes—
199C2×#95—21no—
200C2×#95—21no—
201C2×#95—21no—
202C2×#95—21no—
203C2×#95—21no—
204C2×#95—21no—
205C2×#95—21no—
206C2×#95D411yescharacteristic
207C2×#95D411yescharacteristic
208#340C2314yes—
209#340C2314yes—
210#340C2314yes—
211#340C2314yes—
212#336C2314yes—
213#336C2314yes—
214C25—21no—
215C25C2×D411yescharacteristic
216C22×Q8—21no—
217C22×Q8—21no—
218C22×Q8—22no—
219C22×Q8—22no—
220C22×Q8—22no—
221C22×Q8—22no—
222C22×Q8—22no—
223C22×Q8—22no—
224C22×Q8—22no—
225C22×Q8—22no—
226C22×Q8—22no—
227C22×Q8—22no—
228C22×Q8—22no—
229C22×Q8#4114yes—
230C22×Q8C2412yes—
231C22×Q8C2412yes—
232C22×D4—24no—
233C22×D4—21no—
234C22×D4—22no—
235C22×D4—22no—
236C22×D4—22no—
237C22×D4—22no—
238C22×D4—22no—
239C22×D4—44no—
240C22×D4—44no—
241C22×D4—82no—
242C22×D4C2×D414yes—
243C22×D4C2412yes—
244C23×C4—21no—
245C23×C4—21no—
246C23×C4—21no—
247C23×C4—21no—
248C23×C4—22no—
249C23×C4—22no—
250C23×C4—22no—
251C23×C4—22no—
252C23×C4—22no—
253C23×C4—22no—
254C23×C4—21no—
255C23×C4—21no—
256C23×C4—21no—
257C23×C4—24no—
258C23×C4—24no—
259C23×C4—44no—
260C23×C4—44no—
261C23×C4—44no—
262C23×C4—44no—
263C23×C4—82no—
264C23×C4—82no—
265C23×C4C2×D412yes—
266C23×C4C2×D411yescharacteristic
267C23×C4C2×D411yescharacteristic
268C23×C4C2×D411yescharacteristic
269C23×C4C2×D411yescharacteristic
270C23×C4C2×D411yescharacteristic
271C23×C4C2412yes—
272C23×C4C2411yescharacteristic
273C2×Q16—28no—
274C2×Q16—28no—
275C2×Q16—44no—
276C2×Q16—416no—
277C2×SD16—28no—
278C2×SD16—28no—
279C2×SD16—44no—
280C2×SD16—416no—
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×C8—22no—
290C22×C8—22no—
291C22×C8—22no—
292C22×C8C2×D414yes—
293C22×C8C2412yes—
294C22×C8C2412yes—
295C22×C8C2412yes—
296C22×C8C2412yes—
297#124—28no—
298#124—44no—
299#124—48no—
300C22⋊Q8—216no—
301C22⋊Q8—28no—
302C22⋊Q8—28no—
303C22⋊Q8—28no—
304C22⋊Q8—44no—
305C22⋊Q8—48no—
306#121—28no—
307#121—44no—
308#121—48no—
309C4×Q8—28no—
310C4×Q8—44no—
311C4×Q8—48no—
312C4×D4—28no—
313C4×D4—44no—
314C4×D4—48no—
315C2×C4⋊C4—28no—
316C2×C4⋊C4—21no—
317C2×C4⋊C4—24no—
318C2×C4⋊C4—21no—
319C2×C4⋊C4—21no—
320C2×C4⋊C4—22no—
321C2×C4⋊C4—22no—
322C2×C4⋊C4—22no—
323C2×C4⋊C4—22no—
324C2×C4⋊C4—22no—
325C2×C4⋊C4—22no—
326C2×C4⋊C4—22no—
327C2×C4⋊C4—28no—
328C2×C4⋊C4—24no—
329C2×C4⋊C4—21no—
330C2×C4⋊C4—24no—
331C2×C4⋊C4—24no—
332C2×C4⋊C4—21no—
333C2×C4⋊C4—24no—
334C2×C4⋊C4—24no—
335C2×C4⋊C4—44no—
336C2×C4⋊C4—48no—
337C2×C4⋊C4—44no—
338C2×C4⋊C4—44no—
339C2×C4⋊C4—44no—
340C2×C4⋊C4—82no—
341C2×C4⋊C4—82no—
342C2×C4⋊C4C2×D414yes—
343C2×C4⋊C4#4114yes—
344C2×C4⋊C4#4114yes—
345C2×C4⋊C4C2412yes—
346C2×C4⋊C4C2412yes—
347C2×C4⋊C4C2412yes—
348C2×C4⋊C4C2412yes—
349C2×C4⋊C4C2412yes—
350C2×C22⋊C4—28no—
351C2×C22⋊C4—24no—
352C2×C22⋊C4—24no—
353C2×C22⋊C4—24no—
354C2×C22⋊C4—24no—
355C2×C22⋊C4—24no—
356C2×C22⋊C4—24no—
357C2×C22⋊C4—24no—
358C2×C22⋊C4—24no—
359C2×C22⋊C4—44no—
360C2×C22⋊C4—44no—
361C2×C22⋊C4—44no—
362C2×C22⋊C4—44no—
363C2×C22⋊C4—44no—
364C2×C22⋊C4C2×D414yes—
365C2×C22⋊C4C2×D414yes—
366C2×C42—22no—
367C2×C42—22no—
368C2×C42—22no—
369C2×C42—22no—
370C2×C42—24no—
371C2×C42—24no—
372C2×C42—44no—
373C2×C42—82no—
374C2×C42C2×D412yes—
375C2×C42C2×D412yes—
376C2×C42C2412yes—
377C2×C42C2412yes—
378#107—28no—
379#107—28no—
380C4⋊C8—28no—
381#103—28no—
382#103—28no—
383#103—28no—
384#103—44no—
385#103—44no—
386#102—28no—
387#102—28no—
388#102C2×D4116yes—
389C22⋊C8—28no—
390C22⋊C8—44no—
391C4×C8—44no—
392#95—24no—
393#95—24no—
394#95—24no—
395#95—24no—
396#95—24no—
397#95—24no—
398#95—24no—
399#95C2×D414yes—
400#95C2×D414yes—
401C24—22no—
402C24—22no—
403C24—22no—
404C24—22no—
405C24—22no—
406C24—22no—
407C24—24no—
408C24—22no—
409C24—42no—
410C24—42no—
411C24—42no—
412C24—42no—
413C24—42no—
414C24—42no—
415C24#13514yes—
416C24C22×D412yes—
417C24C22×D411yescharacteristic
418C2×Q8—24no—
419C2×Q8—22no—
420C2×Q8—28no—
421C2×Q8—28no—
422C2×Q8—22no—
423C2×Q8—22no—
424C2×Q8—22no—
425C2×Q8—22no—
426C2×Q8—22no—
427C2×Q8—22no—
428C2×Q8—22no—
429C2×Q8—22no—
430C2×Q8—22no—
431C2×Q8—22no—
432C2×Q8—42no—
433C2×Q8—44no—
434C2×Q8—44no—
435C2×Q8—42no—
436C2×Q8—42no—
437C2×Q8—42no—
438C2×Q8—42no—
439C2×Q8—44no—
440C2×Q8—44no—
441C2×Q8—44no—
442C2×Q8—44no—
443C2×Q8C2×#4114yes—
444C2×D4—28no—
445C2×D4—24no—
446C2×D4—28no—
447C2×D4—22no—
448C2×D4—22no—
449C2×D4—22no—
450C2×D4—22no—
451C2×D4—22no—
452C2×D4—48no—
453C2×D4—48no—
454C2×D4—42no—
455C2×D4—44no—
456C2×D4—42no—
457C2×D4—44no—
458C2×D4—84no—
459C2×D4—816no—
460C2×D4C22×D414yes—
461C22×C4—22no—
462C22×C4—22no—
463C22×C4—24no—
464C22×C4—24no—
465C22×C4—22no—
466C22×C4—22no—
467C22×C4—22no—
468C22×C4—24no—
469C22×C4—22no—
470C22×C4—22no—
471C22×C4—24no—
472C22×C4—22no—
473C22×C4—22no—
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—24no—
484C22×C4—24no—
485C22×C4—24no—
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—48no—
496C22×C4—48no—
497C22×C4—42no—
498C22×C4—42no—
499C22×C4—42no—
500C22×C4—42no—
501C22×C4—42no—
502C22×C4—42no—
503C22×C4—42no—
504C22×C4—42no—
505C22×C4—44no—
506C22×C4—44no—
507C22×C4—44no—
508C22×C4—44no—
509C22×C4—42no—
510C22×C4—42no—
511C22×C4—42no—
512C22×C4—42no—
513C22×C4—42no—
514C22×C4—48no—
515C22×C4—42no—
516C22×C4—42no—
517C22×C4—42no—
518C22×C4—42no—
519C22×C4—48no—
520C22×C4—84no—
521C22×C4—816no—
522C22×C4—84no—
523C22×C4—816no—
524C22×C4#13714yes—
525C22×C4C22×D412yes—
526C22×C4C22×D412yes—
527C22×C4C22×D412yes—
528C22×C4C22×D412yes—
529C22×C4C22×D412yes—
530C22×C4C22×D411yescharacteristic
531C22×C4C22×D412yes—
532C22×C4C2×#4112yes—
533C22×C4C2×#4112yes—
534C22×C4C2×#4112yes—
535C22×C4H(5,𝔽2)12yes—
536C22×C4H(5,𝔽2)12yes—
537C22×C4C2511yescharacteristic
538Q16—416no—
539SD16—416no—
540C2×C8—28no—
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—22no—
552C2×C8—44no—
553C2×C8—44no—
554C2×C8—44no—
555C2×C8C22×D414yes—
556C4⋊C4—216no—
557C4⋊C4—24no—
558C4⋊C4—24no—
559C4⋊C4—24no—
560C4⋊C4—22no—
561C4⋊C4—22no—
562C4⋊C4—22no—
563C4⋊C4—22no—
564C4⋊C4—22no—
565C4⋊C4—22no—
566C4⋊C4—22no—
567C4⋊C4—48no—
568C4⋊C4—48no—
569C4⋊C4—48no—
570C4⋊C4—42no—
571C4⋊C4—42no—
572C4⋊C4—84no—
573C4⋊C4—84no—
574C4⋊C4C22×D414yes—
575C4⋊C4C2×#4114yes—
576C4⋊C4C2×#4114yes—
577C22⋊C4—216no—
578C22⋊C4—28no—
579C22⋊C4—28no—
580C22⋊C4—48no—
581C22⋊C4—48no—
582C22⋊C4—48no—
583C22⋊C4—48no—
584C22⋊C4—48no—
585C42—24no—
586C42—24no—
587C42—22no—
588C42—22no—
589C42—22no—
590C42—22no—
591C42—48no—
592C42—84no—
593C23—28no—
594C23—22no—
595C23—22no—
596C23—22no—
597C23—28no—
598C23—28no—
599C23—22no—
600C23—22no—
601C23—22no—
602C23—24no—
603C23—44no—
604C23—44no—
605C23—44no—
606C23—44no—
607C23—42no—
608C23—42no—
609C23—48no—
610C23—48no—
611C23—48no—
612C23—42no—
613C23—42no—
614C23—42no—
615C23—42no—
616C23—84no—
617C23—84no—
618C23—84no—
619C23—84no—
620C23#52512yes—
621C23D4212yes—
622C23#54612yes—
623C23C2×#13514yes—
624C23C2×#13512yes—
625C23C2×#13712yes—
626C23#57612yes—
627C23#57812yes—
628C23C23×D411yescharacteristic
629Q8—24no—
630Q8—24no—
631Q8—42no—
632Q8—42no—
633Q8—48no—
634Q8—42no—
635Q8—42no—
636Q8—42no—
637Q8—42no—
638Q8—84no—
639D4—24no—
640D4—24no—
641D4—42no—
642D4—42no—
643D4—48no—
644D4—816no—
645C2×C4—22no—
646C2×C4—28no—
647C2×C4—22no—
648C2×C4—24no—
649C2×C4—24no—
650C2×C4—22no—
651C2×C4—22no—
652C2×C4—22no—
653C2×C4—24no—
654C2×C4—22no—
655C2×C4—22no—
656C2×C4—24no—
657C2×C4—22no—
658C2×C4—22no—
659C2×C4—22no—
660C2×C4—22no—
661C2×C4—22no—
662C2×C4—22no—
663C2×C4—22no—
664C2×C4—48no—
665C2×C4—42no—
666C2×C4—42no—
667C2×C4—44no—
668C2×C4—48no—
669C2×C4—44no—
670C2×C4—44no—
671C2×C4—48no—
672C2×C4—44no—
673C2×C4—48no—
674C2×C4—42no—
675C2×C4—42no—
676C2×C4—42no—
677C2×C4—42no—
678C2×C4—42no—
679C2×C4—42no—
680C2×C4—42no—
681C2×C4—42no—
682C2×C4—42no—
683C2×C4—42no—
684C2×C4—48no—
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—816no—
695C2×C4—816no—
696C2×C4—84no—
697C2×C4—84no—
698C2×C4—84no—
699C2×C4#52512yes—
700C2×C4#53214yes—
701C2×C4#54014yes—
702C2×C4D4212yes—
703C2×C4#54614yes—
704C2×C4#54612yes—
705C2×C4#55314yes—
706C2×C4C2×#13714yes—
707C2×C4C23×D411yescharacteristic
708C2×C4C22×#4111yescharacteristic
709C2×C4C22×#4111yescharacteristic
710C2×C4C22×#4111yescharacteristic
711C2×C4C2×H(5,𝔽2)11yescharacteristic
712C2×C4C2×H(5,𝔽2)11yescharacteristic
713C8—24no—
714C8—42no—
715C8—42no—
716C8—42no—
717C22—24no—
718C22—24no—
719C22—24no—
720C22—416no—
721C22—42no—
722C22—42no—
723C22—42no—
724C22—42no—
725C22—44no—
726C22—44no—
727C22—44no—
728C22—816no—
729C22—82no—
730C22—82no—
731C22—82no—
732C22—82no—
733C22#246414yes—
734C22#310814yes—
735C22#312414yes—
736C22#327614yes—
737C22#328014yes—
738C22#330014yes—
739C22#331414yes—
740C22C2×#52511yescharacteristic
741C22C2×D4211yescharacteristic
742C22C2×#54611yescharacteristic
743C22C22×#13511yescharacteristic
744C22C22×#13711yescharacteristic
745C22C2×#57611yescharacteristic
746C22C2×#57811yescharacteristic
747C4—24no—
748C4—42no—
749C4—42no—
750C4—44no—
751C4—42no—
752C4—44no—
753C4—44no—
754C4—42no—
755C4—44no—
756C4—82no—
757C4—82no—
758C4—82no—
759C4#246414yes—
760C4C2×#53211yescharacteristic
761C4C2×#54011yescharacteristic
762C4C2×#54611yescharacteristic
763C4C2×#55311yescharacteristic
764C2—44no—
765C2—84no—
766C2#2693118yesdirect product factor
767C2C2×#246411yescharacteristic
768C2C2×#310811yescharacteristic
769C2C2×#312411yescharacteristic
770C2C2×#327611yescharacteristic
771C2C2×#328011yescharacteristic
772C2C2×#330011yescharacteristic
773C2C2×#331411yescharacteristic
subgroupG/H
center, socleC24C22×D4
commutator, Frattini, cosocleC22×C4C25
prime radicalC22×#121C22
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C24 ◁ C2×C4×C22⋊C4 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
2. C22×#464C2semidirect
4. C2×#2360C2semidirect
5. #26931C2direct (N × H)
6. C2×#2086C2semidirect
7. C2×#2042C2semidirect
8. C2×#2001C2semidirect
10. C2×#1969C2semidirect
11. C2×#1928C2semidirect
12. C2×#1923C2semidirect
13. C2×#1877C2semidirect
14. C2×#1872C2semidirect
15. C2×#1863C2semidirect
16. C2×C4×#102C2semidirect
29. C2×#464C22semidirect
49. #2360C22semidirect
62. #2086C22semidirect
63. #2042C22semidirect
64. #2001C22semidirect
66. #1969C22semidirect
67. #1928C22semidirect
68. #1923C22semidirect
69. #1877C22semidirect
70. #1872C22semidirect
71. #1863C22semidirect
72. C4×#102C22semidirect
766. C2#26931direct (N × H)

Maximal subgroups

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

subgroupindex
C22×#4802
C22×#4642
C2×#24272
C2×#23602
#269312
C2×#20862
C2×#20422
C2×#20012
C2×#20002
C2×#19692
C2×#19282
C2×#19232
C2×#18772
C2×#18722
C2×#18632
C2×C4×#1022