Finite Group Databasebeta

← C2×#30629 #7501374

Subgroups — C2×#30629 #7501374

Order 512.

2828 conjugacy classes of subgroups.

The subgroup lattice has 795 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#486C211yesmaximal, characteristic, complemented
2C22×#480C211yesmaximal, characteristic, complemented
3C2×#2428C211yesmaximal, characteristic
4C2×#2440C211yesmaximal, characteristic, complemented
5#30629C2116yesmaximal, direct product factor
6C2×#2093C211yesmaximal, characteristic, complemented
7C2×#2067C211yesmaximal, characteristic, complemented
8C2×#2057C211yesmaximal, characteristic, complemented
9C2×#2041C211yesmaximal, characteristic, complemented
10C2×#2033C211yesmaximal, characteristic, complemented
11C2×#2033C211yesmaximal, characteristic, complemented
12C2×#1942C211yesmaximal, characteristic, complemented
13C2×#1923C211yesmaximal, characteristic, complemented
14C2×#1874C211yesmaximal, characteristic, complemented
15C2×#1862C211yesmaximal, characteristic, complemented
16C2×#1802C211yesmaximal, characteristic, complemented
17C22×C4⋊Q8C2211yescharacteristic
18C22×#127C2211yescharacteristic
19C22×C22⋊Q8—21no—
20C22×#121—21no—
21C22×#121C2211yescharacteristic
22C22×#121C2211yescharacteristic
23C22×C4×D4C2211yescharacteristic
24C23×C4⋊C4C2211yescharacteristic
25C2×#486—28no—
26C2×#486C2218yescomplemented
27C2×#480—28no—
28C2×#480C2218yescomplemented
29C22×#107C2211yescharacteristic
30C22×#107C2211yescharacteristic
31C22×#107C2211yescharacteristic
32C22×#107C2211yescharacteristic
33C22×C4⋊C8C2211yescharacteristic
34C22×#102C2211yescharacteristic
35C22×#102C2211yescharacteristic
36C22×#102C2211yescharacteristic
37C22×#102C2211yescharacteristic
38C22×#102C2211yescharacteristic
39C22×#102C2211yescharacteristic
40C22×#102C2211yescharacteristic
41C22×#102C2211yescharacteristic
42C22×C22⋊C8C2211yescharacteristic
43C22×C22⋊C8C2211yescharacteristic
44C22×C4×C8C2211yescharacteristic
45#2440—24no—
46#2440C2218yescomplemented
47#2428—24no—
48#2428C2218yes—
49C2×#398—21no—
50C2×#395—21no—
51C2×#394—21no—
52C2×#392—21no—
53C2×#390C2211yescharacteristic
54C2×#389C2211yescharacteristic
55C2×#389C2211yescharacteristic
56C2×#389C2211yescharacteristic
57C2×#386—21no—
58C2×#385—21no—
59C2×#384C2211yescharacteristic
60C2×#380C2211yescharacteristic
61C2×C4×C22⋊C4C2211yescharacteristic
62#2093C2218yescomplemented
63#2067C2218yescomplemented
64#2057C2218yescomplemented
65#2041C2218yescomplemented
66#2033C2218yescomplemented
67#2033C2218yescomplemented
68#1942C2218yescomplemented
69#1923C2218yescomplemented
70#1874C2218yescomplemented
71#1862C2218yescomplemented
72#1802C2218yescomplemented
73C2×#340C2211yescharacteristic
74C2×#340C2211yescharacteristic
75C2×#340C2211yescharacteristic
76C2×#340C2211yescharacteristic
77C2×#336C2211yescharacteristic
78C2×#336C2211yescharacteristic
79C23×Q8—21no—
80C23×D4—21no—
81C23×D4—21no—
82C23×D4—21no—
83C23×D4—21no—
84C23×D4C2311yescharacteristic
85C23×D4C2311yescharacteristic
86C24×C4—21no—
87C24×C4—21no—
88C24×C4C2311yescharacteristic
89C23×C8C2311yescharacteristic
90C23×C8C2311yescharacteristic
91C23×C8C2311yescharacteristic
92C23×C8C2311yescharacteristic
93C2×C4⋊Q8—24no—
94C2×C4⋊Q8—22no—
95C2×C4⋊Q8—42no—
96C2×C4⋊Q8C2314yes—
97C2×#127—24no—
98C2×#127—22no—
99C2×#127—42no—
100C2×#127C2314yes—
101C2×C22⋊Q8—28no—
102C2×C22⋊Q8—48no—
103C2×#121—22no—
104C2×#121—22no—
105C2×#121—28no—
106C2×#121—24no—
107C2×#121—24no—
108C2×#121—42no—
109C2×#121—42no—
110C2×#121—48no—
111C2×#121C2314yes—
112C2×#121C2314yes—
113C2×C4×D4—24no—
114C2×C4×D4—22no—
115C2×C4×D4—42no—
116C2×C4×D4C2314yes—
117C22×C4⋊C4—24no—
118C22×C4⋊C4—21no—
119C22×C4⋊C4—21no—
120C22×C4⋊C4—21no—
121C22×C4⋊C4—21no—
122C22×C4⋊C4—21no—
123C22×C4⋊C4—21no—
124C22×C4⋊C4—22no—
125C22×C4⋊C4—21no—
126C22×C4⋊C4—42no—
127C22×C4⋊C4C2311yescharacteristic
128C22×C4⋊C4C2311yescharacteristic
129C22×C4⋊C4C2311yescharacteristic
130C22×C4⋊C4C2311yescharacteristic
131C22×C4⋊C4C2314yes—
132C22×C4⋊C4C2311yescharacteristic
133C22×C4⋊C4C2311yescharacteristic
134C22×C22⋊C4—21no—
135C22×C22⋊C4—21no—
136C22×C22⋊C4—21no—
137C22×C22⋊C4—21no—
138C22×C22⋊C4—21no—
139C22×C22⋊C4—21no—
140C22×C22⋊C4D411yescharacteristic
141C22×C22⋊C4D411yescharacteristic
142C22×C42C2311yescharacteristic
143C22×C42C2311yescharacteristic
144#486—232no—
145#480—232no—
146C2×#107—24no—
147C2×#107—24no—
148C2×#107—24no—
149C2×#107—42no—
150C2×#107C2314yes—
151C2×#107C2314yes—
152C2×#107C2314yes—
153C2×#107C2314yes—
154C2×C4⋊C8—42no—
155C2×C4⋊C8C2314yes—
156C2×#102—24no—
157C2×#102—24no—
158C2×#102—24no—
159C2×#102—24no—
160C2×#102—42no—
161C2×#102—42no—
162C2×#102—42no—
163C2×#102D418yescomplemented
164C2×#102C2314yes—
165C2×#102C2314yes—
166C2×#102C2314yes—
167C2×#102C2314yes—
168C2×#102C2314yes—
169C2×#102C2314yes—
170C2×#102C2314yes—
171C2×#102C2314yes—
172C2×C22⋊C8—24no—
173C2×C22⋊C8—42no—
174C2×C22⋊C8C2314yes—
175C2×C22⋊C8C2314yes—
176C2×C4×C8—24no—
177C2×C4×C8C2314yes—
178#398—28no—
179#395—28no—
180#394—28no—
181#392—28no—
182#390—22no—
183#390C2314yes—
184#389—22no—
185#389—22no—
186#389—22no—
187#389C2314yes—
188#389C2314yes—
189#389C2314yes—
190#386—28no—
191#385—28no—
192#384—22no—
193#384C2314yes—
194#380—22no—
195#380C2314yes—
196C4×C22⋊C4D414yes—
197C4×C22⋊C4C2314yes—
198C2×#95—21no—
199C2×#95—21no—
200C2×#95—21no—
201C2×#95—21no—
202C2×#95D411yescharacteristic
203C2×#95D411yescharacteristic
204#340C2314yes—
205#340C2314yes—
206#340C2314yes—
207#340C2314yes—
208#336C2314yes—
209#336C2314yes—
210C25—21no—
211C25—21no—
212C25C2×D411yescharacteristic
213C22×Q8—24no—
214C22×Q8—44no—
215C22×Q8—44no—
216C22×Q8—82no—
217C22×D4—24no—
218C22×D4—24no—
219C22×D4—21no—
220C22×D4—22no—
221C22×D4—21no—
222C22×D4—24no—
223C22×D4—24no—
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—44no—
235C22×D4—44no—
236C22×D4—44no—
237C22×D4—44no—
238C22×D4—44no—
239C22×D4—44no—
240C22×D4—44no—
241C22×D4—44no—
242C22×D4—82no—
243C22×D4—82no—
244C22×D4—82no—
245C22×D4—82no—
246C22×D4C2×D414yes—
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×C4—24no—
262C23×C4—24no—
263C23×C4—44no—
264C23×C4—44no—
265C23×C4—44no—
266C23×C4—44no—
267C23×C4—82no—
268C23×C4—82no—
269C23×C4C2×D412yes—
270C23×C4C2×D411yescharacteristic
271C23×C4C2×D411yescharacteristic
272C23×C4C2×D411yescharacteristic
273C23×C4C2×D411yescharacteristic
274C23×C4C2×D411yescharacteristic
275C23×C4C2412yes—
276C23×C4C2411yescharacteristic
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×C8C2×D414yes—
289C22×C8C2412yes—
290C22×C8C2412yes—
291C22×C8C2412yes—
292C22×C8C2412yes—
293C4⋊Q8—28no—
294C4⋊Q8—44no—
295C4⋊Q8—48no—
296#127—28no—
297#127—44no—
298#127—48no—
299C22⋊Q8—432no—
300#121—28no—
301#121—28no—
302#121—44no—
303#121—44no—
304#121—48no—
305#121—48no—
306#121—432no—
307C4×D4—28no—
308C4×D4—44no—
309C4×D4—48no—
310C2×C4⋊C4—21no—
311C2×C4⋊C4—21no—
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—28no—
323C2×C4⋊C4—21no—
324C2×C4⋊C4—24no—
325C2×C4⋊C4—24no—
326C2×C4⋊C4—24no—
327C2×C4⋊C4—24no—
328C2×C4⋊C4—24no—
329C2×C4⋊C4—24no—
330C2×C4⋊C4—21no—
331C2×C4⋊C4—21no—
332C2×C4⋊C4—21no—
333C2×C4⋊C4—24no—
334C2×C4⋊C4—44no—
335C2×C4⋊C4—48no—
336C2×C4⋊C4—44no—
337C2×C4⋊C4—44no—
338C2×C4⋊C4—44no—
339C2×C4⋊C4—44no—
340C2×C4⋊C4—44no—
341C2×C4⋊C4—44no—
342C2×C4⋊C4—82no—
343C2×C4⋊C4C2×D414yes—
344C2×C4⋊C4#4114yes—
345C2×C4⋊C4C2412yes—
346C2×C4⋊C4C2412yes—
347C2×C4⋊C4C2412yes—
348C2×C4⋊C4C2412yes—
349C2×C4⋊C4C2412yes—
350C2×C4⋊C4C2412yes—
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—44no—
359C2×C22⋊C4—44no—
360C2×C22⋊C4—44no—
361C2×C22⋊C4—44no—
362C2×C22⋊C4—44no—
363C2×C22⋊C4—82no—
364C2×C22⋊C4D818yes—
365C2×C22⋊C4C2×D414yes—
366C2×C22⋊C4C2×D414yes—
367C2×C42—22no—
368C2×C42—22no—
369C2×C42—22no—
370C2×C42—22no—
371C2×C42C2×D412yes—
372C2×C42C2×D412yes—
373C2×C42C2412yes—
374C2×C42C2412yes—
375#107—28no—
376#107—28no—
377#107—28no—
378#107—44no—
379C4⋊C8—44no—
380#102—28no—
381#102—28no—
382#102—28no—
383#102—28no—
384#102—44no—
385#102—44no—
386#102—44no—
387#102C2×D4116yescomplemented
388C22⋊C8—28no—
389C22⋊C8—44no—
390C4×C8—28no—
391#95—24no—
392#95—24no—
393#95—24no—
394#95—24no—
395#95C2×D414yes—
396#95C2×D414yes—
397C24—22no—
398C24—22no—
399C24—22no—
400C24—22no—
401C24—22no—
402C24—22no—
403C24—24no—
404C24—22no—
405C24—22no—
406C24—42no—
407C24—42no—
408C24—42no—
409C24—42no—
410C24—42no—
411C24—42no—
412C24—42no—
413C24—42no—
414C24—42no—
415C24—42no—
416C24—42no—
417C24—42no—
418C24—42no—
419C24C2×D814yes—
420C24C22×D412yes—
421C24C22×D411yescharacteristic
422C2×Q8—48no—
423C2×Q8—48no—
424C2×Q8—84no—
425C2×Q8—816no—
426C2×D4—28no—
427C2×D4—24no—
428C2×D4—28no—
429C2×D4—22no—
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—48no—
441C2×D4—48no—
442C2×D4—48no—
443C2×D4—48no—
444C2×D4—48no—
445C2×D4—48no—
446C2×D4—42no—
447C2×D4—42no—
448C2×D4—44no—
449C2×D4—44no—
450C2×D4—44no—
451C2×D4—42no—
452C2×D4—42no—
453C2×D4—42no—
454C2×D4—44no—
455C2×D4—44no—
456C2×D4—44no—
457C2×D4—48no—
458C2×D4—48no—
459C2×D4—84no—
460C2×D4—84no—
461C2×D4—816no—
462C2×D4—816no—
463C2×D4—84no—
464C2×D4—84no—
465C2×D4—816no—
466C2×D4—816no—
467C2×D4C22×D414yes—
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—22no—
478C22×C4—24no—
479C22×C4—22no—
480C22×C4—22no—
481C22×C4—22no—
482C22×C4—22no—
483C22×C4—22no—
484C22×C4—24no—
485C22×C4—24no—
486C22×C4—24no—
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—48no—
498C22×C4—48no—
499C22×C4—42no—
500C22×C4—42no—
501C22×C4—42no—
502C22×C4—42no—
503C22×C4—44no—
504C22×C4—44no—
505C22×C4—44no—
506C22×C4—44no—
507C22×C4—42no—
508C22×C4—42no—
509C22×C4—42no—
510C22×C4—42no—
511C22×C4—42no—
512C22×C4—42no—
513C22×C4—42no—
514C22×C4—42no—
515C22×C4—48no—
516C22×C4—42no—
517C22×C4—42no—
518C22×C4—42no—
519C22×C4—42no—
520C22×C4—48no—
521C22×C4—84no—
522C22×C4—816no—
523C22×C4—84no—
524C22×C4—816no—
525C22×C4C2×D814yes—
526C22×C4C2×D814yes—
527C22×C4#13714yes—
528C22×C4C22×D412yes—
529C22×C4C22×D412yes—
530C22×C4C22×D412yes—
531C22×C4C22×D412yes—
532C22×C4C22×D412yes—
533C22×C4C22×D411yescharacteristic
534C22×C4C22×D412yes—
535C22×C4C2×#4112yes—
536C22×C4H(5,𝔽2)12yes—
537C22×C4H(5,𝔽2)12yes—
538C22×C42−1+412yes—
539C22×C42−1+412yes—
540C22×C4C2511yescharacteristic
541C2×C8—28no—
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—22no—
553C2×C8—44no—
554C2×C8—44no—
555C2×C8—44no—
556C2×C8C22×D414yes—
557C4⋊C4—24no—
558C4⋊C4—24no—
559C4⋊C4—22no—
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—48no—
570C4⋊C4—48no—
571C4⋊C4—42no—
572C4⋊C4—42no—
573C4⋊C4—42no—
574C4⋊C4—42no—
575C4⋊C4—48no—
576C4⋊C4—48no—
577C4⋊C4—48no—
578C4⋊C4—48no—
579C4⋊C4—84no—
580C4⋊C4C22×D414yes—
581C4⋊C4C2×#4114yes—
582C22⋊C4—28no—
583C22⋊C4—48no—
584C22⋊C4—48no—
585C22⋊C4—48no—
586C22⋊C4—48no—
587C22⋊C4—48no—
588C22⋊C4—84no—
589C22⋊C4C2×D8116yes—
590C42—24no—
591C42—24no—
592C42—22no—
593C42—22no—
594C42—22no—
595C42—22no—
596C23—22no—
597C23—22no—
598C23—22no—
599C23—28no—
600C23—28no—
601C23—28no—
602C23—22no—
603C23—22no—
604C23—22no—
605C23—24no—
606C23—44no—
607C23—44no—
608C23—44no—
609C23—44no—
610C23—48no—
611C23—42no—
612C23—42no—
613C23—48no—
614C23—48no—
615C23—42no—
616C23—42no—
617C23—42no—
618C23—42no—
619C23—42no—
620C23—42no—
621C23—42no—
622C23—42no—
623C23—42no—
624C23—42no—
625C23—42no—
626C23—84no—
627C23—84no—
628C23—84no—
629C23—84no—
630C23—84no—
631C23—84no—
632C23—84no—
633C23—84no—
634C23—84no—
635C23—84no—
636C23—84no—
637C23#53612yes—
638C23D4212yes—
639C23#54612yes—
640C23C22×D814yes—
641C23C22×D812yes—
642C23C2×#13712yes—
643C23#57612yes—
644C23#57712yes—
645C23C23×D411yescharacteristic
646Q8—816no—
647D4—24no—
648D4—24no—
649D4—48no—
650D4—42no—
651D4—42no—
652D4—42no—
653D4—42no—
654D4—42no—
655D4—42no—
656D4—816no—
657D4—816no—
658D4—816no—
659D4—816no—
660D4—84no—
661C2×C4—22no—
662C2×C4—22no—
663C2×C4—22no—
664C2×C4—28no—
665C2×C4—28no—
666C2×C4—28no—
667C2×C4—22no—
668C2×C4—22no—
669C2×C4—22no—
670C2×C4—22no—
671C2×C4—22no—
672C2×C4—24no—
673C2×C4—22no—
674C2×C4—24no—
675C2×C4—22no—
676C2×C4—22no—
677C2×C4—22no—
678C2×C4—44no—
679C2×C4—44no—
680C2×C4—48no—
681C2×C4—48no—
682C2×C4—42no—
683C2×C4—42no—
684C2×C4—42no—
685C2×C4—42no—
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—816no—
704C2×C4—816no—
705C2×C4—84no—
706C2×C4—84no—
707C2×C4—84no—
708C2×C4—84no—
709C2×C4#53612yes—
710C2×C4#53714yes—
711C2×C4#54214yes—
712C2×C4D4212yes—
713C2×C4#54612yes—
714C2×C4#54714yes—
715C2×C4#56214yes—
716C2×C4C22×D814yes—
717C2×C4C22×D814yes—
718C2×C4C2×#13714yes—
719C2×C4C23×D411yescharacteristic
720C2×C4C22×#4111yescharacteristic
721C2×C4C2×H(5,𝔽2)11yescharacteristic
722C2×C4C2×H(5,𝔽2)11yescharacteristic
723C2×C4C2×2−1+411yescharacteristic
724C2×C4C2×2−1+411yescharacteristic
725C8—24no—
726C8—42no—
727C8—42no—
728C8—42no—
729C22—24no—
730C22—24no—
731C22—24no—
732C22—42no—
733C22—42no—
734C22—416no—
735C22—42no—
736C22—42no—
737C22—44no—
738C22—44no—
739C22—44no—
740C22—816no—
741C22—82no—
742C22—82no—
743C22—82no—
744C22—82no—
745C22—82no—
746C22—82no—
747C22—82no—
748C22—82no—
749C22—82no—
750C22—82no—
751C22—82no—
752C22—168no—
753C22#267214yes—
754C22#322614yes—
755C22#324114yes—
756C22#326614yes—
757C22D4×D814yes—
758C22#329414yes—
759C22#333314yes—
760C22C2×#53611yescharacteristic
761C22C2×D4211yescharacteristic
762C22C2×#54611yescharacteristic
763C22C23×D811yescharacteristic
764C22C22×#13711yescharacteristic
765C22C2×#57611yescharacteristic
766C22C2×#57711yescharacteristic
767C4—24no—
768C4—24no—
769C4—24no—
770C4—44no—
771C4—42no—
772C4—44no—
773C4—42no—
774C4—82no—
775C4—82no—
776C4—82no—
777C4—82no—
778C4#267214yes—
779C4C2×#53711yescharacteristic
780C4C2×#54211yescharacteristic
781C4C2×#54711yescharacteristic
782C4C2×#56211yescharacteristic
783C2—44no—
784C2—84no—
785C2—162no—
786C2#3062918yesdirect product factor
787C2C2×#267211yescharacteristic
788C2C2×#322611yescharacteristic
789C2C2×#324111yescharacteristic
790C2C2×#326611yescharacteristic
791C2C2×D4×D811yescharacteristic
792C2C2×#329411yescharacteristic
793C2C2×#333311yescharacteristic
subgroupG/H
center, socleC24C22×D4
commutator, Frattini, cosocleC22×C4C25
prime radicalC2×#2428C2
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
1. C22×#486C2semidirect
2. C22×#480C2semidirect
4. C2×#2440C2semidirect
5. #30629C2direct (N × H)
6. C2×#2093C2semidirect
7. C2×#2067C2semidirect
8. C2×#2057C2semidirect
9. C2×#2041C2semidirect
10. C2×#2033C2semidirect
11. C2×#2033C2semidirect
12. C2×#1942C2semidirect
13. C2×#1923C2semidirect
14. C2×#1874C2semidirect
15. C2×#1862C2semidirect
16. C2×#1802C2semidirect
26. C2×#486C22semidirect
28. C2×#480C22semidirect
46. #2440C22semidirect
62. #2093C22semidirect
63. #2067C22semidirect
64. #2057C22semidirect
65. #2041C22semidirect
66. #2033C22semidirect
67. #2033C22semidirect
68. #1942C22semidirect
69. #1923C22semidirect
70. #1874C22semidirect
71. #1862C22semidirect
72. #1802C22semidirect
163. C2×#102D4semidirect
387. #102C2×D4semidirect
786. C2#30629direct (N × H)

Maximal subgroups

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

subgroupindex
C22×#4862
C22×#4802
C2×#24282
C2×#24402
#306292
C2×#20932
C2×#20672
C2×#20572
C2×#20412
C2×#20332
C2×#19422
C2×#19232
C2×#18742
C2×#18622
C2×#18022