Finite Group Databasebeta

← C2×#30917 #7502270

Subgroups — C2×#30917 #7502270

Order 512.

2406 conjugacy classes of subgroups.

The subgroup lattice has 738 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#477C211yesmaximal, characteristic, complemented
2C22×#467C211yesmaximal, characteristic
3C2×#2492C211yesmaximal, characteristic
4C2×#2429C211yesmaximal, characteristic
5#30917C2116yesmaximal, direct product factor
6C2×#2068C211yesmaximal, characteristic, complemented
7C2×#2056C211yesmaximal, characteristic, complemented
8C2×#2036C211yesmaximal, characteristic
9C2×#2024C211yesmaximal, characteristic, complemented
10C2×#2016C211yesmaximal, characteristic, complemented
11C2×#2001C211yesmaximal, characteristic
12C2×#1981C211yesmaximal, characteristic, complemented
13C2×#1921C211yesmaximal, characteristic, complemented
14C2×#1892C211yesmaximal, characteristic
15C2×#1878C211yesmaximal, characteristic, complemented
16C2×#1850C211yesmaximal, characteristic
17C23×Q16C2211yescharacteristic
18C23×Q16C2211yescharacteristic
19C24×C8C2211yescharacteristic
20C22×C4⋊Q8C2211yescharacteristic
21C22×C4⋊Q8C2211yescharacteristic
22C22×C22⋊Q8C2211yescharacteristic
23C22×C22⋊Q8C2211yescharacteristic
24C22×C22⋊Q8C2211yescharacteristic
25C22×C4×Q8C2211yescharacteristic
26C2×#477—28no—
27C2×#477C2218yescomplemented
28C2×#467—28no—
29C2×#467C2218yes—
30C22×#107C2211yescharacteristic
31C22×#107C2211yescharacteristic
32C22×C4⋊C8C2211yescharacteristic
33C22×C4⋊C8C2211yescharacteristic
34C22×#103C2211yescharacteristic
35C22×#103C2211yescharacteristic
36C22×#103C2211yescharacteristic
37C22×#103C2211yescharacteristic
38C22×#103C2211yescharacteristic
39C22×#103C2211yescharacteristic
40C22×#103C2211yescharacteristic
41C22×#103C2211yescharacteristic
42C22×C22⋊C8C2211yescharacteristic
43#2492—24no—
44#2492C2218yes—
45#2429—24no—
46#2429C2218yes—
47C2×#400—21no—
48C2×#398—21no—
49C2×#396—21no—
50C2×#393—21no—
51C2×#391—21no—
52C2×#391C2211yescharacteristic
53C2×#391C2211yescharacteristic
54C2×#391C2211yescharacteristic
55C2×#389—21no—
56C2×#389C2211yescharacteristic
57C2×#388—21no—
58C2×#388—21no—
59C2×#380C2211yescharacteristic
60C2×C4×C4⋊C4C2211yescharacteristic
61C2×C4×C22⋊C4C2211yescharacteristic
62#2068C2218yescomplemented
63#2056C2218yescomplemented
64#2036C2218yes—
65#2024C2218yescomplemented
66#2016C2218yescomplemented
67#2001C2218yes—
68#1981C2218yescomplemented
69#1921C2218yescomplemented
70#1892C2218yes—
71#1878C2218yescomplemented
72#1850C2218yes—
73C2×#340C2211yescharacteristic
74C2×#340C2211yescharacteristic
75C2×#340C2211yescharacteristic
76C2×#340C2211yescharacteristic
77C2×#336C2211yescharacteristic
78C2×#336C2211yescharacteristic
79C23×Q8—21no—
80C23×Q8C2311yescharacteristic
81C23×Q8C2311yescharacteristic
82C23×Q8C2311yescharacteristic
83C24×C4C2311yescharacteristic
84C22×Q16—24no—
85C22×Q16—24no—
86C22×Q16—42no—
87C22×Q16—42no—
88C22×Q16—42no—
89C22×Q16—42no—
90C22×Q16C2314yes—
91C22×Q16C2314yes—
92C23×C8—24no—
93C23×C8—42no—
94C23×C8—42no—
95C23×C8C2311yescharacteristic
96C23×C8C2311yescharacteristic
97C23×C8C2311yescharacteristic
98C23×C8C2311yescharacteristic
99C23×C8C2314yes—
100C2×C4⋊Q8—24no—
101C2×C4⋊Q8—24no—
102C2×C4⋊Q8—22no—
103C2×C4⋊Q8—22no—
104C2×C4⋊Q8—42no—
105C2×C4⋊Q8—42no—
106C2×C4⋊Q8C2314yes—
107C2×C4⋊Q8C2314yes—
108C2×C22⋊Q8—22no—
109C2×C22⋊Q8—22no—
110C2×C22⋊Q8—22no—
111C2×C22⋊Q8—24no—
112C2×C22⋊Q8—24no—
113C2×C22⋊Q8—24no—
114C2×C22⋊Q8—42no—
115C2×C22⋊Q8—42no—
116C2×C22⋊Q8—42no—
117C2×C22⋊Q8C2314yes—
118C2×C22⋊Q8C2314yes—
119C2×C22⋊Q8C2314yes—
120C2×C4×Q8—22no—
121C2×C4×Q8—24no—
122C2×C4×Q8—42no—
123C2×C4×Q8C2314yes—
124C22×C4⋊C4—21no—
125C22×C4⋊C4—21no—
126C22×C4⋊C4—21no—
127C22×C4⋊C4—21no—
128C22×C4⋊C4—21no—
129C22×C4⋊C4—21no—
130C22×C4⋊C4—21no—
131C22×C4⋊C4—21no—
132C22×C4⋊C4C2311yescharacteristic
133C22×C4⋊C4C2311yescharacteristic
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⋊C4D411yescharacteristic
142C22×C22⋊C4D411yescharacteristic
143C22×C42—21no—
144C22×C42—21no—
145C22×C42C2311yescharacteristic
146C22×C42C2311yescharacteristic
147#477—232no—
148#467—232no—
149C2×#107—24no—
150C2×#107D418yes—
151C2×#107C2314yes—
152C2×#107C2314yes—
153C2×C4⋊C8—24no—
154C2×C4⋊C8—42no—
155C2×C4⋊C8C2314yes—
156C2×C4⋊C8C2314yes—
157C2×#103—24no—
158C2×#103—24no—
159C2×#103—24no—
160C2×#103—24no—
161C2×#103—42no—
162C2×#103—42no—
163C2×#103—42no—
164C2×#103—42no—
165C2×#103C2314yes—
166C2×#103C2314yes—
167C2×#103C2314yes—
168C2×#103C2314yes—
169C2×#103C2314yes—
170C2×#103C2314yes—
171C2×#103C2314yes—
172C2×#103C2314yes—
173C2×C22⋊C8—42no—
174C2×C22⋊C8C2314yes—
175#400—28no—
176#398—28no—
177#396—28no—
178#393—28no—
179#391—22no—
180#391—22no—
181#391—22no—
182#391—28no—
183#391C2314yes—
184#391C2314yes—
185#391C2314yes—
186#389—22no—
187#389—28no—
188#389C2314yes—
189#388—28no—
190#388—28no—
191#380—22no—
192#380C2314yes—
193C4×C4⋊C4—22no—
194C4×C4⋊C4C2314yes—
195C4×C22⋊C4D414yes—
196C4×C22⋊C4C2314yes—
197C2×#95—21no—
198C2×#95—21no—
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—
214C25C2×D411yescharacteristic
215C22×Q8—21no—
216C22×Q8—21no—
217C22×Q8—21no—
218C22×Q8—24no—
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—22no—
230C22×Q8—22no—
231C22×Q8—22no—
232C22×Q8—22no—
233C22×Q8—22no—
234C22×Q8—22no—
235C22×Q8—22no—
236C22×Q8—44no—
237C22×Q8—44no—
238C22×Q8—82no—
239C22×Q8#4114yes—
240C22×Q8C2412yes—
241C22×Q8C2412yes—
242C22×Q8C2412yes—
243C23×C4—21no—
244C23×C4—21no—
245C23×C4—21no—
246C23×C4—22no—
247C23×C4—22no—
248C23×C4—22no—
249C23×C4—22no—
250C23×C4—22no—
251C23×C4—22no—
252C23×C4—21no—
253C23×C4—21no—
254C23×C4—21no—
255C23×C4—21no—
256C23×C4—21no—
257C23×C4C2×D412yes—
258C23×C4C2×D411yescharacteristic
259C23×C4C2×D411yescharacteristic
260C23×C4C2×D411yescharacteristic
261C23×C4C2×D411yescharacteristic
262C23×C4C2×D411yescharacteristic
263C23×C4C2412yes—
264C23×C4C2411yescharacteristic
265C2×Q16—28no—
266C2×Q16—28no—
267C2×Q16—44no—
268C2×Q16—44no—
269C2×Q16—44no—
270C2×Q16—44no—
271C2×Q16—416no—
272C2×Q16—416no—
273C22×C8—22no—
274C22×C8—22no—
275C22×C8—22no—
276C22×C8—22no—
277C22×C8—22no—
278C22×C8—22no—
279C22×C8—22no—
280C22×C8—22no—
281C22×C8—22no—
282C22×C8—22no—
283C22×C8—22no—
284C22×C8—28no—
285C22×C8—44no—
286C22×C8—44no—
287C22×C8—416no—
288C22×C8C2×D414yes—
289C22×C8C2412yes—
290C22×C8C2412yes—
291C22×C8C2412yes—
292C22×C8C2412yes—
293C4⋊Q8—28no—
294C4⋊Q8—28no—
295C4⋊Q8—44no—
296C4⋊Q8—48no—
297C4⋊Q8—44no—
298C4⋊Q8—48no—
299C22⋊Q8—28no—
300C22⋊Q8—28no—
301C22⋊Q8—28no—
302C22⋊Q8—44no—
303C22⋊Q8—44no—
304C22⋊Q8—44no—
305C22⋊Q8—48no—
306C22⋊Q8—48no—
307C22⋊Q8—48no—
308C4×Q8—28no—
309C4×Q8—44no—
310C4×Q8—48no—
311C2×C4⋊C4—21no—
312C2×C4⋊C4—21no—
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—24no—
322C2×C4⋊C4—24no—
323C2×C4⋊C4—24no—
324C2×C4⋊C4—24no—
325C2×C4⋊C4—24no—
326C2×C4⋊C4—24no—
327C2×C4⋊C4—24no—
328C2×C4⋊C4—24no—
329C2×C4⋊C4—21no—
330C2×C4⋊C4—21no—
331C2×C4⋊C4—21no—
332C2×C4⋊C4—44no—
333C2×C4⋊C4—44no—
334C2×C4⋊C4—44no—
335C2×C4⋊C4—44no—
336C2×C4⋊C4—44no—
337C2×C4⋊C4—44no—
338C2×C4⋊C4—44no—
339C2×C4⋊C4—44no—
340C2×C4⋊C4C2×D414yes—
341C2×C4⋊C4C2×D414yes—
342C2×C4⋊C4C2412yes—
343C2×C4⋊C4C2412yes—
344C2×C4⋊C4C2412yes—
345C2×C4⋊C4C2412yes—
346C2×C4⋊C4C2412yes—
347C2×C22⋊C4—24no—
348C2×C22⋊C4—24no—
349C2×C22⋊C4—24no—
350C2×C22⋊C4—24no—
351C2×C22⋊C4—42no—
352C2×C22⋊C4—44no—
353C2×C22⋊C4—44no—
354C2×C22⋊C4—44no—
355C2×C22⋊C4—82no—
356C2×C22⋊C4Q1618yescomplemented
357C2×C22⋊C4C2×D414yes—
358C2×C22⋊C4C2×D414yes—
359C2×C42—22no—
360C2×C42—22no—
361C2×C42—22no—
362C2×C42—22no—
363C2×C42—24no—
364C2×C42—24no—
365C2×C42—44no—
366C2×C42—82no—
367C2×C42C2×D412yes—
368C2×C42C2×D412yes—
369C2×C42C2412yes—
370C2×C42C2412yes—
371#107—28no—
372#107C2×D4116yes—
373C4⋊C8—28no—
374C4⋊C8—44no—
375#103—28no—
376#103—28no—
377#103—28no—
378#103—28no—
379#103—44no—
380#103—44no—
381#103—44no—
382#103—44no—
383C22⋊C8—44no—
384#95—24no—
385#95—24no—
386#95—24no—
387#95—24no—
388#95—24no—
389#95—24no—
390#95—24no—
391#95—24no—
392#95—24no—
393#95C2×D414yes—
394#95C2×D414yes—
395C24—22no—
396C24—22no—
397C24—22no—
398C24—22no—
399C24—22no—
400C24—22no—
401C24C2×Q1614yes—
402C24C22×D412yes—
403C24C22×D411yescharacteristic
404C2×Q8—24no—
405C2×Q8—22no—
406C2×Q8—28no—
407C2×Q8—28no—
408C2×Q8—22no—
409C2×Q8—22no—
410C2×Q8—22no—
411C2×Q8—22no—
412C2×Q8—22no—
413C2×Q8—22no—
414C2×Q8—22no—
415C2×Q8—22no—
416C2×Q8—22no—
417C2×Q8—22no—
418C2×Q8—22no—
419C2×Q8—22no—
420C2×Q8—22no—
421C2×Q8—22no—
422C2×Q8—22no—
423C2×Q8—22no—
424C2×Q8—48no—
425C2×Q8—48no—
426C2×Q8—44no—
427C2×Q8—42no—
428C2×Q8—42no—
429C2×Q8—42no—
430C2×Q8—42no—
431C2×Q8—42no—
432C2×Q8—42no—
433C2×Q8—42no—
434C2×Q8—42no—
435C2×Q8—44no—
436C2×Q8—44no—
437C2×Q8—44no—
438C2×Q8—44no—
439C2×Q8—44no—
440C2×Q8—44no—
441C2×Q8—44no—
442C2×Q8—44no—
443C2×Q8—44no—
444C2×Q8—84no—
445C2×Q8—816no—
446C2×Q8C2×#4114yes—
447C22×C4—22no—
448C22×C4—22no—
449C22×C4—22no—
450C22×C4—22no—
451C22×C4—22no—
452C22×C4—22no—
453C22×C4—24no—
454C22×C4—24no—
455C22×C4—22no—
456C22×C4—22no—
457C22×C4—24no—
458C22×C4—22no—
459C22×C4—22no—
460C22×C4—22no—
461C22×C4—22no—
462C22×C4—22no—
463C22×C4—22no—
464C22×C4—22no—
465C22×C4—22no—
466C22×C4—24no—
467C22×C4—24no—
468C22×C4—24no—
469C22×C4—22no—
470C22×C4—22no—
471C22×C4—22no—
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—42no—
481C22×C4—42no—
482C22×C4—42no—
483C22×C4—42no—
484C22×C4—42no—
485C22×C4—42no—
486C22×C4—44no—
487C22×C4—44no—
488C22×C4—44no—
489C22×C4—44no—
490C22×C4—42no—
491C22×C4—42no—
492C22×C4—42no—
493C22×C4—42no—
494C22×C4—42no—
495C22×C4—42no—
496C22×C4—42no—
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×C4C2×Q1614yes—
506C22×C4C2×Q1614yes—
507C22×C4C22×D412yes—
508C22×C4C22×D412yes—
509C22×C4C22×D412yes—
510C22×C4C22×D412yes—
511C22×C4C22×D412yes—
512C22×C4C22×D412yes—
513C22×C4C22×D411yescharacteristic
514C22×C4C2×#4112yes—
515C22×C4H(5,𝔽2)12yes—
516C22×C4H(5,𝔽2)12yes—
517C22×C4H(5,𝔽2)12yes—
518C22×C42−1+412yes—
519C22×C4C2511yescharacteristic
520Q16—416no—
521Q16—416no—
522C2×C8—28no—
523C2×C8—22no—
524C2×C8—22no—
525C2×C8—22no—
526C2×C8—22no—
527C2×C8—22no—
528C2×C8—22no—
529C2×C8—22no—
530C2×C8—22no—
531C2×C8—22no—
532C2×C8—22no—
533C2×C8—22no—
534C2×C8—416no—
535C2×C8—44no—
536C2×C8—44no—
537C2×C8—44no—
538C2×C8C22×D414yes—
539C4⋊C4—24no—
540C4⋊C4—24no—
541C4⋊C4—22no—
542C4⋊C4—22no—
543C4⋊C4—22no—
544C4⋊C4—22no—
545C4⋊C4—22no—
546C4⋊C4—22no—
547C4⋊C4—22no—
548C4⋊C4—22no—
549C4⋊C4—48no—
550C4⋊C4—48no—
551C4⋊C4—48no—
552C4⋊C4—48no—
553C4⋊C4—48no—
554C4⋊C4—48no—
555C4⋊C4—48no—
556C4⋊C4—48no—
557C4⋊C4—42no—
558C4⋊C4—42no—
559C4⋊C4—42no—
560C4⋊C4C22×D414yes—
561C4⋊C4C22×D414yes—
562C22⋊C4—44no—
563C22⋊C4—48no—
564C22⋊C4—48no—
565C22⋊C4—48no—
566C22⋊C4—84no—
567C22⋊C4C2×Q16116yescomplemented
568C42—24no—
569C42—24no—
570C42—22no—
571C42—22no—
572C42—22no—
573C42—22no—
574C42—48no—
575C42—84no—
576C23—22no—
577C23—22no—
578C23—22no—
579C23—28no—
580C23—28no—
581C23—28no—
582C23—22no—
583C23—22no—
584C23—22no—
585C23—44no—
586C23—44no—
587C23—44no—
588C23—44no—
589C23#53712yes—
590C23D4212yes—
591C23#54612yes—
592C23C22×Q1614yes—
593C23C22×Q1612yes—
594C23#57512yes—
595C23#57712yes—
596C23#57812yes—
597C23C23×D411yescharacteristic
598Q8—24no—
599Q8—24no—
600Q8—48no—
601Q8—42no—
602Q8—42no—
603Q8—42no—
604Q8—42no—
605Q8—42no—
606Q8—42no—
607Q8—42no—
608Q8—42no—
609Q8—42no—
610Q8—42no—
611Q8—816no—
612Q8—84no—
613Q8—84no—
614C2×C4—22no—
615C2×C4—22no—
616C2×C4—28no—
617C2×C4—28no—
618C2×C4—22no—
619C2×C4—22no—
620C2×C4—22no—
621C2×C4—22no—
622C2×C4—24no—
623C2×C4—24no—
624C2×C4—22no—
625C2×C4—22no—
626C2×C4—24no—
627C2×C4—22no—
628C2×C4—22no—
629C2×C4—22no—
630C2×C4—22no—
631C2×C4—22no—
632C2×C4—44no—
633C2×C4—48no—
634C2×C4—42no—
635C2×C4—42no—
636C2×C4—44no—
637C2×C4—48no—
638C2×C4—48no—
639C2×C4—44no—
640C2×C4—42no—
641C2×C4—42no—
642C2×C4—42no—
643C2×C4—42no—
644C2×C4—48no—
645C2×C4—42no—
646C2×C4—42no—
647C2×C4—42no—
648C2×C4—42no—
649C2×C4—42no—
650C2×C4—42no—
651C2×C4—42no—
652C2×C4—42no—
653C2×C4—42no—
654C2×C4—42no—
655C2×C4—42no—
656C2×C4—42no—
657C2×C4—42no—
658C2×C4—42no—
659C2×C4—42no—
660C2×C4—42no—
661C2×C4—42no—
662C2×C4—42no—
663C2×C4—42no—
664C2×C4—84no—
665C2×C4—84no—
666C2×C4—84no—
667C2×C4—84no—
668C2×C4—84no—
669C2×C4#53514yes—
670C2×C4#53712yes—
671C2×C4#53814yes—
672C2×C4D4212yes—
673C2×C4#54612yes—
674C2×C4#54814yes—
675C2×C4#56214yes—
676C2×C4C22×Q1614yes—
677C2×C4C22×Q1614yes—
678C2×C4C23×D411yescharacteristic
679C2×C4C22×#4111yescharacteristic
680C2×C4C2×H(5,𝔽2)11yescharacteristic
681C2×C4C2×H(5,𝔽2)11yescharacteristic
682C2×C4C2×H(5,𝔽2)11yescharacteristic
683C2×C4C2×2−1+411yescharacteristic
684C8—24no—
685C8—42no—
686C8—42no—
687C8—42no—
688C22—24no—
689C22—24no—
690C22—24no—
691C22—42no—
692C22—42no—
693C22—416no—
694C22—42no—
695C22—42no—
696C22#267614yes—
697C22#324914yes—
698C22#325814yes—
699C22#326714yes—
700C22D4×Q1614yes—
701C22#329914yes—
702C22#331314yes—
703C22C2×#53711yescharacteristic
704C22C2×D4211yescharacteristic
705C22C2×#54611yescharacteristic
706C22C23×Q1611yescharacteristic
707C22C2×#57511yescharacteristic
708C22C2×#57711yescharacteristic
709C22C2×#57811yescharacteristic
710C4—24no—
711C4—24no—
712C4—42no—
713C4—44no—
714C4—44no—
715C4—42no—
716C4—44no—
717C4—42no—
718C4—82no—
719C4—82no—
720C4—82no—
721C4—82no—
722C4—82no—
723C4#267614yes—
724C4C2×#53511yescharacteristic
725C4C2×#53811yescharacteristic
726C4C2×#54811yescharacteristic
727C4C2×#56211yescharacteristic
728C2—44no—
729C2#3091718yesdirect product factor
730C2C2×#267611yescharacteristic
731C2C2×#324911yescharacteristic
732C2C2×#325811yescharacteristic
733C2C2×#326711yescharacteristic
734C2C2×D4×Q1611yescharacteristic
735C2C2×#329911yescharacteristic
736C2C2×#331311yescharacteristic
subgroupG/H
center, socleC24C22×D4
commutator, Frattini, cosocleC22×C4C25
prime radicalC25C2×D4
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×#477C2semidirect
5. #30917C2direct (N × H)
6. C2×#2068C2semidirect
7. C2×#2056C2semidirect
9. C2×#2024C2semidirect
10. C2×#2016C2semidirect
12. C2×#1981C2semidirect
13. C2×#1921C2semidirect
15. C2×#1878C2semidirect
27. C2×#477C22semidirect
62. #2068C22semidirect
63. #2056C22semidirect
65. #2024C22semidirect
66. #2016C22semidirect
68. #1981C22semidirect
69. #1921C22semidirect
71. #1878C22semidirect
356. C2×C22⋊C4Q16semidirect
567. C22⋊C4C2×Q16semidirect
729. C2#30917direct (N × H)

Maximal subgroups

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

subgroupindex
C22×#4772
C22×#4672
C2×#24922
C2×#24292
#309172
C2×#20682
C2×#20562
C2×#20362
C2×#20242
C2×#20162
C2×#20012
C2×#19812
C2×#19212
C2×#18922
C2×#18782
C2×#18502