Finite Group Databasebeta

← C2×#15132 #608364

Subgroups — C2×#15132 #608364

Order 512.

5278 conjugacy classes of subgroups.

The subgroup lattice has 808 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#397C212yesmaximal
2C22×#389C211yesmaximal, characteristic, complemented
3C22×#380C211yesmaximal, characteristic
4C22×#380C211yesmaximal, characteristic
5C22×C4×C22⋊C4C211yesmaximal, characteristic
6#15132C2116yesmaximal, direct product factor
7C2×#1443C212yesmaximal, complemented
8C2×#1442C212yesmaximal, complemented
9C2×#1440C212yesmaximal
10C2×C4⋊#95C211yesmaximal, characteristic, complemented
11C2×C4⋊#95C211yesmaximal, characteristic, complemented
12C2×C4⋊#95C211yesmaximal, characteristic, complemented
13C25×C4C2211yescharacteristic
14C23×C4⋊C4C2211yescharacteristic
15C23×C4⋊C4C2211yescharacteristic
16C23×C4⋊C4C2211yescharacteristic
17C23×C4⋊C4C2212yes—
18C23×C4⋊C4C2211yescharacteristic
19C23×C22⋊C4C2211yescharacteristic
20C23×C22⋊C4C2212yes—
21C23×C22⋊C4C2212yes—
22C23×C22⋊C4C2211yescharacteristic
23C23×C42C2211yescharacteristic
24C23×C42C2211yescharacteristic
25C2×#397—216no—
26C2×#397C22116yes—
27C2×#389—28no—
28C2×#389C2218yescomplemented
29C2×#380—28no—
30C2×#380—28no—
31C2×#380C2218yes—
32C2×#380C2218yes—
33C2×C4×C22⋊C4—28no—
34C2×C4×C22⋊C4C2218yes—
35C22×#95C2212yes—
36C22×#95C2212yes—
37C22×#95C2212yes—
38C22×#95C2211yescharacteristic
39C22×#95C2212yes—
40C22×#95C2212yes—
41C22×#95C2212yes—
42C22×#95C2211yescharacteristic
43C22×#95C2212yes—
44C22×#95C2212yes—
45C22×#95C2212yes—
46#1443C22116yescomplemented
47#1442C22116yescomplemented
48#1440C22116yes—
49C4⋊#95C2218yescomplemented
50C4⋊#95C2218yescomplemented
51C4⋊#95C2218yescomplemented
52C26C2311yescharacteristic
53C24×C4—24no—
54C24×C4—24no—
55C24×C4—24no—
56C24×C4—24no—
57C24×C4—24no—
58C24×C4—24no—
59C24×C4D418yes—
60C24×C4C2312yes—
61C24×C4C2312yes—
62C24×C4C2312yes—
63C24×C4C2314yes—
64C24×C4C2311yescharacteristic
65C24×C4C2311yescharacteristic
66C24×C4C2311yescharacteristic
67C24×C4C2312yes—
68C24×C4C2311yescharacteristic
69C24×C4C2311yescharacteristic
70C24×C4C2311yescharacteristic
71C22×C4⋊C4—24no—
72C22×C4⋊C4—24no—
73C22×C4⋊C4—28no—
74C22×C4⋊C4—24no—
75C22×C4⋊C4—24no—
76C22×C4⋊C4—24no—
77C22×C4⋊C4—28no—
78C22×C4⋊C4—24no—
79C22×C4⋊C4—24no—
80C22×C4⋊C4—24no—
81C22×C4⋊C4—24no—
82C22×C4⋊C4—24no—
83C22×C4⋊C4—24no—
84C22×C4⋊C4—44no—
85C22×C4⋊C4D418yes—
86C22×C4⋊C4C2314yes—
87C22×C4⋊C4C2314yes—
88C22×C4⋊C4C2314yes—
89C22×C4⋊C4C2318yes—
90C22×C4⋊C4C2314yes—
91C22×C22⋊C4—24no—
92C22×C22⋊C4—24no—
93C22×C22⋊C4—24no—
94C22×C22⋊C4—24no—
95C22×C22⋊C4—24no—
96C22×C22⋊C4—28no—
97C22×C22⋊C4—28no—
98C22×C22⋊C4—28no—
99C22×C22⋊C4—28no—
100C22×C22⋊C4—28no—
101C22×C22⋊C4—44no—
102C22×C22⋊C4D418yes—
103C22×C22⋊C4C2318yes—
104C22×C22⋊C4C2314yes—
105C22×C22⋊C4C2318yes—
106C22×C22⋊C4C2314yes—
107C22×C42—24no—
108C22×C42—24no—
109C22×C42—24no—
110C22×C42—24no—
111C22×C42—24no—
112C22×C42—24no—
113C22×C42C2314yes—
114C22×C42C2314yes—
115#397—264no—
116#389—232no—
117#380—232no—
118#380—232no—
119C4×C22⋊C4—232no—
120C2×#95—28no—
121C2×#95—28no—
122C2×#95—28no—
123C2×#95—24no—
124C2×#95—24no—
125C2×#95—28no—
126C2×#95—28no—
127C2×#95—28no—
128C2×#95—28no—
129C2×#95—28no—
130C2×#95—44no—
131C2×#95C2318yes—
132C2×#95C2318yes—
133C2×#95C2318yes—
134C2×#95C2318yes—
135C2×#95C2318yes—
136C2×#95C2318yes—
137C2×#95C2314yes—
138C2×#95C2318yes—
139C2×#95C2318yes—
140C2×#95C2314yes—
141C2×#95C2318yes—
142C25—22no—
143C25—22no—
144C25—22no—
145C25—22no—
146C25—22no—
147C25—22no—
148C25—22no—
149C25—22no—
150C25—22no—
151C25—22no—
152C25—22no—
153C25—22no—
154C25C2×D414yes—
155C25C2×D414yes—
156C25#4114yes—
157C25C2412yes—
158C25C2411yescharacteristic
159C23×C4—24no—
160C23×C4—22no—
161C23×C4—22no—
162C23×C4—22no—
163C23×C4—22no—
164C23×C4—22no—
165C23×C4—22no—
166C23×C4—22no—
167C23×C4—22no—
168C23×C4—22no—
169C23×C4—22no—
170C23×C4—22no—
171C23×C4—24no—
172C23×C4—24no—
173C23×C4—22no—
174C23×C4—22no—
175C23×C4—22no—
176C23×C4—22no—
177C23×C4—22no—
178C23×C4—24no—
179C23×C4—22no—
180C23×C4—22no—
181C23×C4—22no—
182C23×C4—22no—
183C23×C4—22no—
184C23×C4—22no—
185C23×C4—24no—
186C23×C4—22no—
187C23×C4—22no—
188C23×C4—22no—
189C23×C4—22no—
190C23×C4—22no—
191C23×C4—24no—
192C23×C4—22no—
193C23×C4—22no—
194C23×C4—22no—
195C23×C4—232no—
196C23×C4—232no—
197C23×C4—232no—
198C23×C4—28no—
199C23×C4—28no—
200C23×C4—28no—
201C23×C4—28no—
202C23×C4—28no—
203C23×C4—28no—
204C23×C4—24no—
205C23×C4—24no—
206C23×C4—24no—
207C23×C4—24no—
208C23×C4—24no—
209C23×C4—24no—
210C23×C4—24no—
211C23×C4—24no—
212C23×C4—24no—
213C23×C4—24no—
214C23×C4—24no—
215C23×C4—24no—
216C23×C4—24no—
217C23×C4—24no—
218C23×C4—24no—
219C23×C4—24no—
220C23×C4—24no—
221C23×C4—24no—
222C23×C4—24no—
223C23×C4—24no—
224C23×C4—24no—
225C23×C4—416no—
226C23×C4—416no—
227C23×C4—416no—
228C23×C4—416no—
229C23×C4C2×D418yes—
230C23×C4C2×D414yes—
231C23×C4C2×D414yes—
232C23×C4C2×D414yes—
233C23×C4C2×D4116yes—
234C23×C4C2×D414yes—
235C23×C4C2×D414yes—
236C23×C4#4114yes—
237C23×C4#4114yes—
238C23×C4#4114yes—
239C23×C4#4114yes—
240C23×C4#4114yes—
241C23×C4#4114yes—
242C23×C4#4114yes—
243C23×C4C2414yes—
244C23×C4C2414yes—
245C23×C4C2414yes—
246C23×C4C2414yes—
247C23×C4C2412yes—
248C23×C4C2412yes—
249C23×C4C2412yes—
250C23×C4C2412yes—
251C23×C4C2412yes—
252C23×C4C2412yes—
253C2×C4⋊C4—232no—
254C2×C4⋊C4—28no—
255C2×C4⋊C4—28no—
256C2×C4⋊C4—28no—
257C2×C4⋊C4—28no—
258C2×C4⋊C4—28no—
259C2×C4⋊C4—216no—
260C2×C4⋊C4—28no—
261C2×C4⋊C4—216no—
262C2×C4⋊C4—28no—
263C2×C4⋊C4—28no—
264C2×C4⋊C4—28no—
265C2×C4⋊C4—28no—
266C2×C4⋊C4—28no—
267C2×C4⋊C4—48no—
268C2×C4⋊C4—432no—
269C2×C4⋊C4—416no—
270C2×C4⋊C4—416no—
271C2×C4⋊C4—416no—
272C2×C4⋊C4C2×D4116yes—
273C2×C22⋊C4—232no—
274C2×C22⋊C4—232no—
275C2×C22⋊C4—28no—
276C2×C22⋊C4—28no—
277C2×C22⋊C4—28no—
278C2×C22⋊C4—28no—
279C2×C22⋊C4—28no—
280C2×C22⋊C4—216no—
281C2×C22⋊C4—216no—
282C2×C22⋊C4—216no—
283C2×C22⋊C4—216no—
284C2×C22⋊C4—216no—
285C2×C22⋊C4—48no—
286C2×C22⋊C4—432no—
287C2×C22⋊C4—432no—
288C2×C22⋊C4C2×D4116yes—
289C2×C42—28no—
290C2×C42—28no—
291C2×C42—28no—
292C2×C42—28no—
293C2×C42—28no—
294C2×C42—28no—
295C2×C42—416no—
296C2×C42—416no—
297#95—28no—
298#95—28no—
299#95—216no—
300#95—216no—
301#95—216no—
302#95—216no—
303#95—216no—
304#95—216no—
305#95—216no—
306#95—216no—
307#95—48no—
308C24—28no—
309C24—28no—
310C24—28no—
311C24—28no—
312C24—28no—
313C24—28no—
314C24—28no—
315C24—28no—
316C24—28no—
317C24—28no—
318C24—28no—
319C24—28no—
320C24—28no—
321C24—28no—
322C24—28no—
323C24—28no—
324C24—28no—
325C24—28no—
326C24—22no—
327C24—22no—
328C24—22no—
329C24—22no—
330C24—22no—
331C24—22no—
332C24—22no—
333C24—22no—
334C24—22no—
335C24—22no—
336C24—22no—
337C24—22no—
338C24—44no—
339C24—44no—
340C24—44no—
341C24—44no—
342C24—44no—
343C24—44no—
344C24—44no—
345C24—44no—
346C24—44no—
347C24—44no—
348C24—44no—
349C24—44no—
350C24—44no—
351C24—44no—
352C24—44no—
353C24—44no—
354C24#121116yes—
355C24C22×D414yes—
356C24C22×D414yes—
357C24C22×D412yes—
358C24C22×D412yes—
359C24C22×D412yes—
360C24C2×#4114yes—
361C24C2×#4112yes—
362C24C2×#4112yes—
363C24C2×#4112yes—
364C24C2×#4112yes—
365C24C2×#4112yes—
366C24C2×#4112yes—
367C24C2×#4112yes—
368C24C2×#4112yes—
369C24H(5,𝔽2)12yes—
370C242−1+412yes—
371C242−1+412yes—
372C242−1+412yes—
373C24C2511yescharacteristic
374C22×C4—28no—
375C22×C4—28no—
376C22×C4—28no—
377C22×C4—216no—
378C22×C4—28no—
379C22×C4—28no—
380C22×C4—28no—
381C22×C4—28no—
382C22×C4—216no—
383C22×C4—28no—
384C22×C4—28no—
385C22×C4—216no—
386C22×C4—28no—
387C22×C4—28no—
388C22×C4—28no—
389C22×C4—28no—
390C22×C4—28no—
391C22×C4—28no—
392C22×C4—22no—
393C22×C4—22no—
394C22×C4—22no—
395C22×C4—22no—
396C22×C4—22no—
397C22×C4—22no—
398C22×C4—24no—
399C22×C4—22no—
400C22×C4—24no—
401C22×C4—22no—
402C22×C4—22no—
403C22×C4—22no—
404C22×C4—22no—
405C22×C4—22no—
406C22×C4—22no—
407C22×C4—22no—
408C22×C4—22no—
409C22×C4—22no—
410C22×C4—22no—
411C22×C4—24no—
412C22×C4—24no—
413C22×C4—22no—
414C22×C4—22no—
415C22×C4—22no—
416C22×C4—22no—
417C22×C4—22no—
418C22×C4—22no—
419C22×C4—24no—
420C22×C4—22no—
421C22×C4—22no—
422C22×C4—22no—
423C22×C4—22no—
424C22×C4—24no—
425C22×C4—22no—
426C22×C4—22no—
427C22×C4—22no—
428C22×C4—232no—
429C22×C4—232no—
430C22×C4—232no—
431C22×C4—24no—
432C22×C4—24no—
433C22×C4—24no—
434C22×C4—24no—
435C22×C4—24no—
436C22×C4—24no—
437C22×C4—24no—
438C22×C4—24no—
439C22×C4—24no—
440C22×C4—24no—
441C22×C4—24no—
442C22×C4—24no—
443C22×C4—24no—
444C22×C4—24no—
445C22×C4—24no—
446C22×C4—24no—
447C22×C4—24no—
448C22×C4—24no—
449C22×C4—24no—
450C22×C4—24no—
451C22×C4—24no—
452C22×C4—44no—
453C22×C4—44no—
454C22×C4—44no—
455C22×C4—44no—
456C22×C4—44no—
457C22×C4—44no—
458C22×C4—44no—
459C22×C4—44no—
460C22×C4—48no—
461C22×C4—44no—
462C22×C4—44no—
463C22×C4—44no—
464C22×C4—44no—
465C22×C4—48no—
466C22×C4—44no—
467C22×C4—48no—
468C22×C4—44no—
469C22×C4—44no—
470C22×C4—44no—
471C22×C4—44no—
472C22×C4—48no—
473C22×C4—44no—
474C22×C4—44no—
475C22×C4—44no—
476C22×C4—416no—
477C22×C4—416no—
478C22×C4—416no—
479C22×C4—416no—
480C22×C4—4128no—
481C22×C4—48no—
482C22×C4—48no—
483C22×C4—48no—
484C22×C4—48no—
485C22×C4—48no—
486C22×C4—48no—
487C22×C4—48no—
488C22×C4—48no—
489C22×C4—48no—
490C22×C4—48no—
491C22×C4—48no—
492C22×C4—48no—
493C22×C4—48no—
494C22×C4—48no—
495C22×C4—48no—
496C22×C4—48no—
497C22×C4—48no—
498C22×C4—48no—
499C22×C4—48no—
500C22×C4—48no—
501C22×C4—48no—
502C22×C4#121116yes—
503C22×C4#123116yes—
504C22×C4#123116yes—
505C22×C4#123116yes—
506C22×C4#124116yes—
507C22×C4#126116yes—
508C22×C4#126116yes—
509C22×C4C22×D414yes—
510C22×C4C22×D414yes—
511C22×C4C22×D418yes—
512C22×C4C22×D414yes—
513C22×C4C22×D414yes—
514C22×C4C22×D414yes—
515C22×C4C2×#4114yes—
516C22×C4C2×#4114yes—
517C22×C4C2×#4114yes—
518C22×C4C2×#4114yes—
519C22×C4C2×#4114yes—
520C22×C4C2×#4114yes—
521C22×C4C2×#4114yes—
522C4⋊C4—232no—
523C4⋊C4—432no—
524C4⋊C4—416no—
525C4⋊C4—416no—
526C4⋊C4—416no—
527C22⋊C4—232no—
528C22⋊C4—232no—
529C22⋊C4—432no—
530C22⋊C4—432no—
531C42—416no—
532C42—416no—
533C23—232no—
534C23—24no—
535C23—24no—
536C23—24no—
537C23—24no—
538C23—24no—
539C23—24no—
540C23—232no—
541C23—24no—
542C23—24no—
543C23—24no—
544C23—24no—
545C23—24no—
546C23—24no—
547C23—24no—
548C23—24no—
549C23—24no—
550C23—24no—
551C23—24no—
552C23—24no—
553C23—232no—
554C23—416no—
555C23—416no—
556C23—42no—
557C23—42no—
558C23—42no—
559C23—42no—
560C23—416no—
561C23—416no—
562C23—416no—
563C23—42no—
564C23—42no—
565C23—42no—
566C23—42no—
567C23—42no—
568C23—42no—
569C23—42no—
570C23—42no—
571C23—42no—
572C23—42no—
573C23—42no—
574C23—42no—
575C23—416no—
576C23—416no—
577C23—416no—
578C23—416no—
579C23—416no—
580C23—416no—
581C23—416no—
582C23C2×#12118yes—
583C23C2×#12114yes—
584C23C2×#12114yes—
585C23C2×#12314yes—
586C23C2×#12314yes—
587C23C2×#12314yes—
588C23#52514yes—
589C23C2×#12414yes—
590C23C2×#12614yes—
591C23C2×#12614yes—
592C23#52914yes—
593C23#52914yes—
594C23#53214yes—
595C23#53214yes—
596C23#53614yes—
597C23#53714yes—
598C23#54114yes—
599C23#54114yes—
600C23#54214yes—
601C23#54214yes—
602C23D4214yes—
603C23#54714yes—
604C23#54714yes—
605C23#54714yes—
606C23#54714yes—
607C23#54814yes—
608C23#54814yes—
609C23#55214yes—
610C23#55214yes—
611C23#55214yes—
612C23#55214yes—
613C23#55314yes—
614C23#55314yes—
615C23#55514yes—
616C23#55614yes—
617C23#55614yes—
618C23C23×D411yescharacteristic
619C23C23×D411yescharacteristic
620C23C23×D411yescharacteristic
621C23C22×#4111yescharacteristic
622C23C22×#4111yescharacteristic
623C23C22×#4111yescharacteristic
624C23C22×#4111yescharacteristic
625C23C22×#4111yescharacteristic
626C23C22×#4111yescharacteristic
627C23C22×#4111yescharacteristic
628C23C22×#4111yescharacteristic
629C23C2×H(5,𝔽2)11yescharacteristic
630C23C2×2−1+411yescharacteristic
631C23C2×2−1+411yescharacteristic
632C23C2×2−1+411yescharacteristic
633C2×C4—24no—
634C2×C4—24no—
635C2×C4—24no—
636C2×C4—28no—
637C2×C4—24no—
638C2×C4—24no—
639C2×C4—24no—
640C2×C4—24no—
641C2×C4—28no—
642C2×C4—24no—
643C2×C4—24no—
644C2×C4—28no—
645C2×C4—24no—
646C2×C4—24no—
647C2×C4—24no—
648C2×C4—24no—
649C2×C4—24no—
650C2×C4—24no—
651C2×C4—416no—
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—416no—
661C2×C4—416no—
662C2×C4—44no—
663C2×C4—432no—
664C2×C4—42no—
665C2×C4—42no—
666C2×C4—42no—
667C2×C4—42no—
668C2×C4—44no—
669C2×C4—44no—
670C2×C4—42no—
671C2×C4—42no—
672C2×C4—42no—
673C2×C4—42no—
674C2×C4—42no—
675C2×C4—44no—
676C2×C4—42no—
677C2×C4—42no—
678C2×C4—42no—
679C2×C4—416no—
680C2×C4—416no—
681C2×C4—464no—
682C2×C4—44no—
683C2×C4—44no—
684C2×C4—44no—
685C2×C4—44no—
686C2×C4—44no—
687C2×C4—44no—
688C2×C4—44no—
689C2×C4—44no—
690C2×C4—44no—
691C2×C4—44no—
692C2×C4—44no—
693C2×C4—44no—
694C2×C4—44no—
695C2×C4—44no—
696C2×C4—44no—
697C2×C4—44no—
698C2×C4—44no—
699C2×C4—44no—
700C2×C4—44no—
701C2×C4—44no—
702C2×C4—44no—
703C2×C4—816no—
704C2×C4—816no—
705C2×C4—816no—
706C2×C4#397164yescomplemented
707C2×C4C2×#12118yes—
708C2×C4C2×#12318yes—
709C2×C4C2×#12318yes—
710C2×C4C2×#12318yes—
711C2×C4C2×#12418yes—
712C2×C4C2×#12618yes—
713C2×C4C2×#12618yes—
714C22—28no—
715C22—28no—
716C22—28no—
717C22—464no—
718C22—44no—
719C22—44no—
720C22—44no—
721C22—44no—
722C22—44no—
723C22—44no—
724C22—44no—
725C22—44no—
726C22—44no—
727C22—44no—
728C22—44no—
729C22—44no—
730C22C2×#39718yes—
731C22#241518yes—
732C22#241618yes—
733C22#242118yes—
734C22#242218yes—
735C22#248518yes—
736C22#248618yes—
737C22#248918yes—
738C22#249118yes—
739C22#249418yes—
740C22#249518yes—
741C22#249618yes—
742C22#249618yes—
743C22#262518yes—
744C22#285418yes—
745C22C22×#12111yescharacteristic
746C22C22×#12111yescharacteristic
747C22C22×#12311yescharacteristic
748C22C22×#12311yescharacteristic
749C22C22×#12311yescharacteristic
750C22C2×#52511yescharacteristic
751C22C22×#12411yescharacteristic
752C22C22×#12611yescharacteristic
753C22C22×#12611yescharacteristic
754C22C2×#52911yescharacteristic
755C22C2×#52911yescharacteristic
756C22C2×#53211yescharacteristic
757C22C2×#53211yescharacteristic
758C22C2×#53611yescharacteristic
759C22C2×#53711yescharacteristic
760C22C2×#54111yescharacteristic
761C22C2×#54111yescharacteristic
762C22C2×#54211yescharacteristic
763C22C2×#54211yescharacteristic
764C22C2×D4211yescharacteristic
765C22C2×#54711yescharacteristic
766C22C2×#54711yescharacteristic
767C22C2×#54711yescharacteristic
768C22C2×#54711yescharacteristic
769C22C2×#54811yescharacteristic
770C22C2×#54811yescharacteristic
771C22C2×#55211yescharacteristic
772C22C2×#55211yescharacteristic
773C22C2×#55211yescharacteristic
774C22C2×#55211yescharacteristic
775C22C2×#55311yescharacteristic
776C22C2×#55311yescharacteristic
777C22C2×#55511yescharacteristic
778C22C2×#55611yescharacteristic
779C22C2×#55611yescharacteristic
780C4—44no—
781C4—48no—
782C4—44no—
783C4—44no—
784C4—44no—
785C4—44no—
786C4—84no—
787C4—84no—
788C4—84no—
789C4C2×#397116yescomplemented
790C2—48no—
791C2#15132116yesdirect product factor
792C2C22×#39711yescharacteristic
793C2C2×#262511yescharacteristic
794C2C2×#241611yescharacteristic
795C2C2×#242211yescharacteristic
796C2C2×#242111yescharacteristic
797C2C2×#241511yescharacteristic
798C2C2×#248611yescharacteristic
799C2C2×#249111yescharacteristic
800C2C2×#249611yescharacteristic
801C2C2×#249611yescharacteristic
802C2C2×#248911yescharacteristic
803C2C2×#249511yescharacteristic
804C2C2×#249411yescharacteristic
805C2C2×#248511yescharacteristic
806C2C2×#285411yescharacteristic
subgroupG/H
center, socleC25C24
commutator, Frattini, cosocleC24C25
prime radicalC26C23
LCSG ▷ C24 ▷ C1
UCSC1 ◁ C25 ◁ G
LECSG ▷ C24 ▷ C1

Complements

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

NH ≅ G/Ntype
2. C22×#389C2semidirect
6. #15132C2direct (N × H)
7. C2×#1443C2semidirect
8. C2×#1442C2semidirect
10. C2×C4⋊#95C2semidirect
11. C2×C4⋊#95C2semidirect
12. C2×C4⋊#95C2semidirect
28. C2×#389C22semidirect
46. #1443C22semidirect
47. #1442C22semidirect
49. C4⋊#95C22semidirect
50. C4⋊#95C22semidirect
51. C4⋊#95C22semidirect
706. C2×C4#397semidirect
789. C4C2×#397semidirect
791. C2#15132direct (N × H)

Maximal subgroups

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

subgroupindex
C22×#3972
C22×#3892
C22×#3802
C22×C4×C22⋊C42
#151322
C2×#14432
C2×#14422
C2×#14402
C2×C4⋊#952