Finite Group Databasebeta

← C2×#13996 #514287

Subgroups — C2×#13996 #514287

Order 512.

8878 conjugacy classes of subgroups.

The subgroup lattice has 826 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C23×#123C211yesmaximal, characteristic
2C22×#386C211yesmaximal, characteristic
3C22×#386C211yesmaximal, characteristic
4C22×#385C211yesmaximal, characteristic, complemented
5C22×#381C211yesmaximal, characteristic, complemented
6C22×C4×C22⋊C4C211yesmaximal, characteristic, complemented
7C23×#95C211yesmaximal, characteristic, complemented
8#13996C2116yesmaximal, direct product factor
9C2×#1445C212yesmaximal, complemented
10C2×#1439C212yesmaximal, complemented
11C2×#1437C212yesmaximal, complemented
12C2×C4⋊#95C212yesmaximal, complemented
13C24×D4C2211yescharacteristic
14C25×C4C2211yescharacteristic
15C25×C4C2211yescharacteristic
16C25×C4C2211yescharacteristic
17C22×#123—28no—
18C22×#123—28no—
19C22×#123C4116yescomplemented
20C22×#123C2218yes—
21C23×C4⋊C4C2212yes—
22C23×C4⋊C4C2212yes—
23C23×C22⋊C4C2211yescharacteristic
24C23×C22⋊C4C2211yescharacteristic
25C23×C22⋊C4C2212yes—
26C23×C22⋊C4C2212yes—
27C23×C22⋊C4C2211yescharacteristic
28C23×C22⋊C4C2211yescharacteristic
29C23×C22⋊C4C2211yescharacteristic
30C23×C42C2212yes—
31C2×#386—28no—
32C2×#386—28no—
33C2×#386C2218yes—
34C2×#386C2218yes—
35C2×#385—28no—
36C2×#385C2218yescomplemented
37C2×#381—28no—
38C2×#381C2218yescomplemented
39C2×C4×C22⋊C4—28no—
40C2×C4×C22⋊C4C2218yescomplemented
41C22×#95—28no—
42C22×#95C2212yes—
43C22×#95C2212yes—
44C22×#95C2212yes—
45C22×#95C2211yescharacteristic
46C22×#95C2212yes—
47C22×#95C2212yes—
48C22×#95C2212yes—
49C22×#95C2211yescharacteristic
50C22×#95C2212yes—
51C22×#95C2218yescomplemented
52#1445C22116yescomplemented
53#1439C22116yescomplemented
54#1437C22116yescomplemented
55C4⋊#95C22116yescomplemented
56C26C2311yescharacteristic
57C26C2311yescharacteristic
58C23×D4—24no—
59C23×D4—24no—
60C23×D4—24no—
61C23×D4—24no—
62C23×D4—24no—
63C23×D4—24no—
64C23×D4C2×C418yes—
65C23×D4C2314yes—
66C24×C4—24no—
67C24×C4—24no—
68C24×C4—24no—
69C24×C4—24no—
70C24×C4—24no—
71C24×C4—24no—
72C24×C4—24no—
73C24×C4—24no—
74C24×C4—24no—
75C24×C4—28no—
76C24×C4—28no—
77C24×C4—24no—
78C24×C4—24no—
79C24×C4—44no—
80C24×C4—44no—
81C24×C4C2×C418yes—
82C24×C4D418yes—
83C24×C4C2311yescharacteristic
84C24×C4C2311yescharacteristic
85C24×C4C2314yes—
86C24×C4C2312yes—
87C24×C4C2311yescharacteristic
88C24×C4C2311yescharacteristic
89C24×C4C2312yes—
90C24×C4C2312yes—
91C24×C4C2314yes—
92C24×C4C2314yes—
93C24×C4C2312yes—
94C24×C4C2311yescharacteristic
95C2×#123—2128no—
96C2×#123—232no—
97C2×#123—232no—
98C2×#123C2×C4164yescomplemented
99C22×C4⋊C4—28no—
100C22×C4⋊C4—28no—
101C22×C4⋊C4—28no—
102C22×C4⋊C4—28no—
103C22×C4⋊C4—44no—
104C22×C4⋊C4C2×C4116yescomplemented
105C22×C4⋊C4C2318yes—
106C22×C4⋊C4C2318yes—
107C22×C22⋊C4—24no—
108C22×C22⋊C4—24no—
109C22×C22⋊C4—28no—
110C22×C22⋊C4—28no—
111C22×C22⋊C4—24no—
112C22×C22⋊C4—24no—
113C22×C22⋊C4—24no—
114C22×C22⋊C4—28no—
115C22×C22⋊C4—24no—
116C22×C22⋊C4—24no—
117C22×C22⋊C4—28no—
118C22×C22⋊C4—28no—
119C22×C22⋊C4—44no—
120C22×C22⋊C4—44no—
121C22×C22⋊C4C2×C418yes—
122C22×C22⋊C4C2×C4116yescomplemented
123C22×C22⋊C4D418yes—
124C22×C22⋊C4D418yes—
125C22×C22⋊C4D418yes—
126C22×C22⋊C4C2314yes—
127C22×C22⋊C4C2314yes—
128C22×C22⋊C4C2318yes—
129C22×C22⋊C4C2318yes—
130C22×C22⋊C4C2314yes—
131C22×C22⋊C4C2314yes—
132C22×C22⋊C4C2314yes—
133C22×C42—28no—
134C22×C42—28no—
135C22×C42—44no—
136C22×C42C2318yes—
137#386—232no—
138#386—232no—
139#385—232no—
140#381—232no—
141C4×C22⋊C4—232no—
142C2×#95—28no—
143C2×#95—28no—
144C2×#95—232no—
145C2×#95—28no—
146C2×#95—28no—
147C2×#95—28no—
148C2×#95—28no—
149C2×#95—28no—
150C2×#95—24no—
151C2×#95—24no—
152C2×#95C2314yes—
153C2×#95C2318yes—
154C2×#95C2318yes—
155C2×#95C2318yes—
156C2×#95C2318yes—
157C2×#95C2318yes—
158C2×#95C2318yes—
159C2×#95C2318yes—
160C2×#95C2314yes—
161C25—24no—
162C25—24no—
163C25—24no—
164C25—24no—
165C25—22no—
166C25—22no—
167C25—22no—
168C25—22no—
169C25—24no—
170C25—24no—
171C25—22no—
172C25—22no—
173C25—24no—
174C25—24no—
175C25C22×C414yes—
176C25C22×C414yes—
177C25C2×D414yes—
178C25C2×D414yes—
179C25C2×D414yes—
180C25C2×D414yes—
181C25#4114yes—
182C25#4114yes—
183C25C2412yes—
184C25C2412yes—
185C25C2411yescharacteristic
186C22×D4—232no—
187C22×D4—232no—
188C22×D4—232no—
189C22×D4—28no—
190C22×D4—28no—
191C22×D4—28no—
192C22×D4—28no—
193C22×D4—28no—
194C22×D4—28no—
195C22×D4—416no—
196C22×D4—416no—
197C22×D4—416no—
198C22×D4—416no—
199C22×D4C22×C4116yes—
200C23×C4—22no—
201C23×C4—24no—
202C23×C4—22no—
203C23×C4—24no—
204C23×C4—24no—
205C23×C4—24no—
206C23×C4—24no—
207C23×C4—232no—
208C23×C4—232no—
209C23×C4—232no—
210C23×C4—232no—
211C23×C4—232no—
212C23×C4—24no—
213C23×C4—24no—
214C23×C4—24no—
215C23×C4—24no—
216C23×C4—22no—
217C23×C4—22no—
218C23×C4—24no—
219C23×C4—28no—
220C23×C4—28no—
221C23×C4—28no—
222C23×C4—28no—
223C23×C4—24no—
224C23×C4—24no—
225C23×C4—22no—
226C23×C4—24no—
227C23×C4—28no—
228C23×C4—28no—
229C23×C4—22no—
230C23×C4—22no—
231C23×C4—24no—
232C23×C4—24no—
233C23×C4—28no—
234C23×C4—28no—
235C23×C4—28no—
236C23×C4—24no—
237C23×C4—24no—
238C23×C4—22no—
239C23×C4—24no—
240C23×C4—24no—
241C23×C4—22no—
242C23×C4—22no—
243C23×C4—24no—
244C23×C4—24no—
245C23×C4—24no—
246C23×C4—24no—
247C23×C4—24no—
248C23×C4—24no—
249C23×C4—232no—
250C23×C4—216no—
251C23×C4—216no—
252C23×C4—22no—
253C23×C4—22no—
254C23×C4—22no—
255C23×C4—22no—
256C23×C4—22no—
257C23×C4—22no—
258C23×C4—28no—
259C23×C4—28no—
260C23×C4—24no—
261C23×C4—24no—
262C23×C4—24no—
263C23×C4—24no—
264C23×C4—416no—
265C23×C4—48no—
266C23×C4—48no—
267C23×C4—432no—
268C23×C4—432no—
269C23×C4—432no—
270C23×C4—432no—
271C23×C4—416no—
272C23×C4—416no—
273C23×C4—416no—
274C23×C4—416no—
275C23×C4—416no—
276C23×C4—416no—
277C23×C4C22×C418yes—
278C23×C4C22×C414yes—
279C23×C4C22×C4116yes—
280C23×C4C22×C418yes—
281C23×C4C2×D418yes—
282C23×C4C2×D414yes—
283C23×C4C2×D4116yes—
284C23×C4C2×D418yes—
285C23×C4C2×D418yes—
286C23×C4C2×D414yes—
287C23×C4#4118yes—
288C23×C4#4118yes—
289C23×C4C2412yes—
290C23×C4C2412yes—
291C23×C4C2414yes—
292C23×C4C2412yes—
293C23×C4C2414yes—
294C23×C4C2412yes—
295C23×C4C2414yes—
296C23×C4C2414yes—
297C23×C4C2412yes—
298#123—2256no—
299C2×C4⋊C4—264no—
300C2×C4⋊C4—216no—
301C2×C4⋊C4—216no—
302C2×C4⋊C4—216no—
303C2×C4⋊C4—216no—
304C2×C4⋊C4—48no—
305C2×C4⋊C4—432no—
306C2×C4⋊C4C22×C4132yescomplemented
307C2×C22⋊C4—232no—
308C2×C22⋊C4—28no—
309C2×C22⋊C4—28no—
310C2×C22⋊C4—264no—
311C2×C22⋊C4—216no—
312C2×C22⋊C4—216no—
313C2×C22⋊C4—28no—
314C2×C22⋊C4—28no—
315C2×C22⋊C4—28no—
316C2×C22⋊C4—216no—
317C2×C22⋊C4—28no—
318C2×C22⋊C4—28no—
319C2×C22⋊C4—216no—
320C2×C22⋊C4—216no—
321C2×C22⋊C4—48no—
322C2×C22⋊C4—48no—
323C2×C22⋊C4—432no—
324C2×C22⋊C4—416no—
325C2×C22⋊C4—416no—
326C2×C22⋊C4—416no—
327C2×C22⋊C4C22⋊C4164yescomplemented
328C2×C22⋊C4C22×C4116yes—
329C2×C22⋊C4C22×C4132yescomplemented
330C2×C22⋊C4C2×D4116yes—
331C2×C22⋊C4C2×D4116yes—
332C2×C22⋊C4C2×D4116yes—
333C2×C42—216no—
334C2×C42—216no—
335C2×C42—48no—
336C2×C42—432no—
337#95—216no—
338#95—216no—
339#95—216no—
340#95—216no—
341#95—216no—
342#95—216no—
343#95—216no—
344#95—28no—
345#95—28no—
346C24—216no—
347C24—216no—
348C24—28no—
349C24—28no—
350C24—216no—
351C24—28no—
352C24—28no—
353C24—216no—
354C24—216no—
355C24—216no—
356C24—216no—
357C24—216no—
358C24—216no—
359C24—216no—
360C24—216no—
361C24—216no—
362C24—24no—
363C24—24no—
364C24—24no—
365C24—24no—
366C24—28no—
367C24—28no—
368C24—28no—
369C24—216no—
370C24—216no—
371C24—22no—
372C24—22no—
373C24—22no—
374C24—22no—
375C24—24no—
376C24—24no—
377C24—22no—
378C24—22no—
379C24—24no—
380C24—24no—
381C24—44no—
382C24—44no—
383C24—44no—
384C24—44no—
385C24—44no—
386C24—48no—
387C24—44no—
388C24—44no—
389C24—44no—
390C24—48no—
391C24—48no—
392C24—48no—
393C24—48no—
394C24—48no—
395C24—48no—
396C24—48no—
397C24—48no—
398C24—48no—
399C24C2×C22⋊C4116yes—
400C24C4×D4116yes—
401C24C4×D4116yes—
402C24#121116yes—
403C24#121116yes—
404C24#124116yes—
405C24#127116yes—
406C24C23×C414yes—
407C24C23×C414yes—
408C24C23×C412yes—
409C24C22×D414yes—
410C24C22×D414yes—
411C24C22×D414yes—
412C24C22×D414yes—
413C24C22×D412yes—
414C24C22×D412yes—
415C24C22×D412yes—
416C24C22×D412yes—
417C24C2×#4114yes—
418C24C2×#4114yes—
419C24C2×#4112yes—
420C24C2×#4112yes—
421C24C2×#4114yes—
422C24C2×#4114yes—
423C24H(5,𝔽2)14yes—
424C242−1+414yes—
425C24C2511yescharacteristic
426C2×D4—232no—
427C2×D4—232no—
428C2×D4—232no—
429C2×D4—416no—
430C2×D4—416no—
431C2×D4—416no—
432C2×D4—416no—
433C2×D4—4128no—
434C22×C4—216no—
435C22×C4—216no—
436C22×C4—28no—
437C22×C4—28no—
438C22×C4—216no—
439C22×C4—216no—
440C22×C4—216no—
441C22×C4—216no—
442C22×C4—216no—
443C22×C4—216no—
444C22×C4—22no—
445C22×C4—24no—
446C22×C4—24no—
447C22×C4—22no—
448C22×C4—24no—
449C22×C4—24no—
450C22×C4—24no—
451C22×C4—232no—
452C22×C4—216no—
453C22×C4—28no—
454C22×C4—232no—
455C22×C4—232no—
456C22×C4—232no—
457C22×C4—216no—
458C22×C4—216no—
459C22×C4—28no—
460C22×C4—28no—
461C22×C4—216no—
462C22×C4—232no—
463C22×C4—28no—
464C22×C4—28no—
465C22×C4—216no—
466C22×C4—28no—
467C22×C4—216no—
468C22×C4—216no—
469C22×C4—216no—
470C22×C4—216no—
471C22×C4—24no—
472C22×C4—24no—
473C22×C4—22no—
474C22×C4—24no—
475C22×C4—22no—
476C22×C4—22no—
477C22×C4—24no—
478C22×C4—24no—
479C22×C4—24no—
480C22×C4—24no—
481C22×C4—24no—
482C22×C4—22no—
483C22×C4—22no—
484C22×C4—24no—
485C22×C4—24no—
486C22×C4—24no—
487C22×C4—24no—
488C22×C4—24no—
489C22×C4—22no—
490C22×C4—24no—
491C22×C4—24no—
492C22×C4—22no—
493C22×C4—22no—
494C22×C4—24no—
495C22×C4—24no—
496C22×C4—24no—
497C22×C4—24no—
498C22×C4—24no—
499C22×C4—232no—
500C22×C4—22no—
501C22×C4—22no—
502C22×C4—22no—
503C22×C4—22no—
504C22×C4—22no—
505C22×C4—22no—
506C22×C4—24no—
507C22×C4—24no—
508C22×C4—24no—
509C22×C4—24no—
510C22×C4—416no—
511C22×C4—4128no—
512C22×C4—432no—
513C22×C4—432no—
514C22×C4—432no—
515C22×C4—432no—
516C22×C4—416no—
517C22×C4—4128no—
518C22×C4—416no—
519C22×C4—416no—
520C22×C4—48no—
521C22×C4—48no—
522C22×C4—44no—
523C22×C4—44no—
524C22×C4—416no—
525C22×C4—48no—
526C22×C4—44no—
527C22×C4—48no—
528C22×C4—416no—
529C22×C4—48no—
530C22×C4—416no—
531C22×C4—48no—
532C22×C4—44no—
533C22×C4—48no—
534C22×C4—48no—
535C22×C4—48no—
536C22×C4—48no—
537C22×C4—48no—
538C22×C4—48no—
539C22×C4—48no—
540C22×C4—48no—
541C22×C4—4128no—
542C22×C4—44no—
543C22×C4—44no—
544C22×C4—44no—
545C22×C4—44no—
546C22×C4—44no—
547C22×C4—44no—
548C22×C4—48no—
549C22×C4—48no—
550C22×C4—48no—
551C22×C4—48no—
552C22×C4C2×C22⋊C4132yes—
553C22×C4#123116yescomplemented
554C22×C4C23×C418yes—
555C22×C4C23×C414yes—
556C22×C4C23×C418yes—
557C22×C4C22×D418yes—
558C22×C4C22×D414yes—
559C22×C4C22×D418yes—
560C22×C4C22×D418yes—
561C22×C4C22×D414yes—
562C22×C4C2×#4118yes—
563C22×C4C2×#4118yes—
564C4⋊C4—264no—
565C4⋊C4—432no—
566C22⋊C4—232no—
567C22⋊C4—264no—
568C22⋊C4—432no—
569C22⋊C4—416no—
570C22⋊C4—416no—
571C22⋊C4—416no—
572C22⋊C4C2×C22⋊C4164yescomplemented
573C42—432no—
574C23—232no—
575C23—264no—
576C23—264no—
577C23—28no—
578C23—28no—
579C23—24no—
580C23—24no—
581C23—232no—
582C23—232no—
583C23—28no—
584C23—24no—
585C23—24no—
586C23—264no—
587C23—28no—
588C23—28no—
589C23—28no—
590C23—28no—
591C23—28no—
592C23—28no—
593C23—28no—
594C23—28no—
595C23—28no—
596C23—264no—
597C23—232no—
598C23—232no—
599C23—232no—
600C23—24no—
601C23—24no—
602C23—24no—
603C23—28no—
604C23—28no—
605C23—416no—
606C23—432no—
607C23—432no—
608C23—42no—
609C23—42no—
610C23—42no—
611C23—42no—
612C23—42no—
613C23—44no—
614C23—42no—
615C23—42no—
616C23—42no—
617C23—44no—
618C23—44no—
619C23—44no—
620C23—44no—
621C23—44no—
622C23—44no—
623C23—44no—
624C23—44no—
625C23—44no—
626C23—416no—
627C23—416no—
628C23—88no—
629C23—88no—
630C23—816no—
631C23—816no—
632C23—88no—
633C23—88no—
634C23#390164yes—
635C23C22×C22⋊C418yes—
636C23C22×C22⋊C414yes—
637C23C2×C4×D418yes—
638C23C2×C4×D418yes—
639C23C2×C4×D414yes—
640C23C2×C4×D414yes—
641C23C4×#4118yes—
642C23#52018yes—
643C23C2×#12118yes—
644C23C2×#12118yes—
645C23C2×#12114yes—
646C23C2×#12114yes—
647C23C2×#12314yes—
648C23#52514yes—
649C23C2×#12418yes—
650C23C2×#12414yes—
651C23#52918yes—
652C23C2×#12718yes—
653C23C2×#12714yes—
654C23#53414yes—
655C23#53614yes—
656C23#53918yes—
657C23#54618yes—
658C23#54618yes—
659C23#54618yes—
660C23#54718yes—
661C23#54718yes—
662C23#54718yes—
663C23#55118yes—
664C23#55218yes—
665C23C24×C411yescharacteristic
666C23C23×D411yescharacteristic
667C23C23×D411yescharacteristic
668C23C23×D411yescharacteristic
669C23C23×D411yescharacteristic
670C23C22×#4111yescharacteristic
671C23C22×#4111yescharacteristic
672C23C22×#4112yes—
673C23C22×#4112yes—
674C23C2×H(5,𝔽2)12yes—
675C23C2×2−1+412yes—
676D4—464no—
677C2×C4—264no—
678C2×C4—28no—
679C2×C4—28no—
680C2×C4—24no—
681C2×C4—232no—
682C2×C4—24no—
683C2×C4—28no—
684C2×C4—28no—
685C2×C4—28no—
686C2×C4—28no—
687C2×C4—28no—
688C2×C4—28no—
689C2×C4—28no—
690C2×C4—24no—
691C2×C4—28no—
692C2×C4—28no—
693C2×C4—24no—
694C2×C4—24no—
695C2×C4—28no—
696C2×C4—24no—
697C2×C4—24no—
698C2×C4—28no—
699C2×C4—24no—
700C2×C4—28no—
701C2×C4—28no—
702C2×C4—28no—
703C2×C4—28no—
704C2×C4—464no—
705C2×C4—464no—
706C2×C4—44no—
707C2×C4—44no—
708C2×C4—42no—
709C2×C4—42no—
710C2×C4—416no—
711C2×C4—44no—
712C2×C4—42no—
713C2×C4—44no—
714C2×C4—44no—
715C2×C4—44no—
716C2×C4—42no—
717C2×C4—44no—
718C2×C4—432no—
719C2×C4—44no—
720C2×C4—44no—
721C2×C4—44no—
722C2×C4—44no—
723C2×C4—44no—
724C2×C4—44no—
725C2×C4—44no—
726C2×C4—432no—
727C2×C4—464no—
728C2×C4—432no—
729C2×C4—416no—
730C2×C4—42no—
731C2×C4—42no—
732C2×C4—42no—
733C2×C4—42no—
734C2×C4—42no—
735C2×C4—42no—
736C2×C4—44no—
737C2×C4—44no—
738C2×C4—44no—
739C2×C4—44no—
740C2×C4—88no—
741C2×C4—88no—
742C2×C4C22×C22⋊C4116yes—
743C2×C4C2×#12318yescomplemented
744C22—28no—
745C22—28no—
746C22—216no—
747C22—216no—
748C22—28no—
749C22—216no—
750C22—2128no—
751C22—28no—
752C22—216no—
753C22—28no—
754C22—28no—
755C22—44no—
756C22—48no—
757C22—48no—
758C22—44no—
759C22—44no—
760C22—82no—
761C22—82no—
762C22—84no—
763C22—832no—
764C22—82no—
765C22—84no—
766C22—82no—
767C22C2×#390116yes—
768C22C2×#39018yes—
769C22C4×#12318yes—
770C22#232218yes—
771C22#2339116yes—
772C22#2359116yes—
773C22#241218yes—
774C22#241318yes—
775C22#2425116yes—
776C22#2488116yes—
777C22#250118yes—
778C22#253918yes—
779C22C23×C22⋊C411yescharacteristic
780C22C22×C4×D411yescharacteristic
781C22C22×C4×D411yescharacteristic
782C22C2×C4×#4112yes—
783C22C2×#52012yes—
784C22C22×#12111yescharacteristic
785C22C22×#12111yescharacteristic
786C22C22×#12311yescharacteristic
787C22C2×#52511yescharacteristic
788C22C22×#12411yescharacteristic
789C22C2×#52912yes—
790C22C22×#12711yescharacteristic
791C22C2×#53411yescharacteristic
792C22C2×#53611yescharacteristic
793C22C2×#53912yes—
794C22C2×#54612yes—
795C22C2×#54612yes—
796C22C2×#54612yes—
797C22C2×#54712yes—
798C22C2×#54712yes—
799C22C2×#54712yes—
800C22C2×#55112yes—
801C22C2×#55212yes—
802C4—216no—
803C4—28no—
804C4—48no—
805C4—44no—
806C4—48no—
807C4—48no—
808C4—44no—
809C4—82no—
810C4—82no—
811C2—216no—
812C2—84no—
813C2#13996116yesdirect product factor
814C2C22×#39011yescharacteristic
815C2C2×C4×#12311yescharacteristic
816C2C2×#232211yescharacteristic
817C2C2×#233912yes—
818C2C2×#235912yes—
819C2C2×#241211yescharacteristic
820C2C2×#242512yes—
821C2C2×#241311yescharacteristic
822C2C2×#248812yes—
823C2C2×#250111yescharacteristic
824C2C2×#253911yescharacteristic
subgroupG/H
center, socleC25C24
commutatorC23C24×C4
Frattini, cosocleC24C25
prime radicalC24×D4C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C25 ◁ G
LECSG ▷ C24 ▷ C1

Complements

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

NH ≅ G/Ntype
4. C22×#385C2semidirect
5. C22×#381C2semidirect
6. C22×C4×C22⋊C4C2semidirect
7. C23×#95C2semidirect
8. #13996C2direct (N × H)
9. C2×#1445C2semidirect
10. C2×#1439C2semidirect
11. C2×#1437C2semidirect
12. C2×C4⋊#95C2semidirect
19. C22×#123C4semidirect
36. C2×#385C22semidirect
38. C2×#381C22semidirect
40. C2×C4×C22⋊C4C22semidirect
51. C22×#95C22semidirect
52. #1445C22semidirect
53. #1439C22semidirect
54. #1437C22semidirect
55. C4⋊#95C22semidirect
98. C2×#123C2×C4semidirect
104. C22×C4⋊C4C2×C4semidirect
122. C22×C22⋊C4C2×C4semidirect
306. C2×C4⋊C4C22×C4semidirect
327. C2×C22⋊C4C22⋊C4semidirect
329. C2×C22⋊C4C22×C4semidirect
553. C22×C4#123semidirect
572. C22⋊C4C2×C22⋊C4semidirect
743. C2×C4C2×#123semidirect
813. C2#13996direct (N × H)

Maximal subgroups

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

subgroupindex
C23×#1232
C22×#3862
C22×#3852
C22×#3812
C22×C4×C22⋊C42
C23×#952
#139962
C2×#14452
C2×#14392
C2×#14372
C2×C4⋊#952