Finite Group Databasebeta

← #6508897

Subgroups — #6508897

Order 512.

1850 conjugacy classes of subgroups.

The subgroup lattice has 790 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#60751C211yesmaximal, characteristic
2C2×#3092C211yesmaximal, characteristic
3C22×#483C211yesmaximal, characteristic, complemented
4#60233C211yesmaximal, characteristic
5#28135C214yesmaximal, complemented
6#27672C214yesmaximal, complemented
7#25268C218yesmaximal, complemented
8#24621C214yesmaximal, complemented
9#24571C214yesmaximal, complemented
10#21948C211yesmaximal, characteristic, complemented
11#21753C211yesmaximal, characteristic, complemented
12C2×#1821C211yesmaximal, characteristic, complemented
13C2×#525C2211yescharacteristic
14C22×C22⋊Q8C2211yescharacteristic
15C23×C4⋊C4C2211yescharacteristic
16#3196—22no—
17#3195—21no—
18#3193—21no—
19#3190—22no—
20#3189—21no—
21#3187—21no—
22#3095C2212yes—
23#3092—22no—
24#3092—22no—
25#3092C2212yes—
26#3092C2214yes—
27#3092C2214yes—
28C2×#484—21no—
29C2×#481—21no—
30C2×#483—21no—
31C2×#483—21no—
32C2×#483—22no—
33C2×#483—22no—
34C2×#483—22no—
35C2×#483—21no—
36C2×#483C2214yes—
37C2×#483C2214yescomplemented
38C2×#480—21no—
39#3056C2214yes—
40#3007C2212yes—
41#3004C2212yes—
42#2977—22no—
43#2976—22no—
44#2974—22no—
45#2973—21no—
46#2972—21no—
47#2933C2214yes—
48#2929C2214yes—
49#2924C2212yes—
50C2×#428C2212yes—
51C22×#106C2212yescomplemented
52C2×#417C2212yes—
53C22×#103C2212yescomplemented
54#2880C2212yes—
55C2×#407C2211yescharacteristic
56C2×#407C2211yescharacteristic
57C2×#407C2211yescharacteristic
58C22×C22⋊C8C2211yescharacteristic
59#2090C2218yescomplemented
60#2079C2218yescomplemented
61#2064C2218yescomplemented
62#2052C2218yescomplemented
63#1951C2218yescomplemented
64#1930C2218yescomplemented
65#1908C2218yescomplemented
66#1901C2214yes—
67#1901C2214yescomplemented
68#1855C2214yes—
69#1855C2214yescomplemented
70#1821C2214yes—
71#1821C2212yescomplemented
72#1821C2214yescomplemented
73#1815C2218yescomplemented
74#1810C2214yescomplemented
75#1784C2212yescomplemented
76C2×#343C2214yescomplemented
77C22×#41C2311yescharacteristic
78C23×Q8C2311yescharacteristic
79C24×C4—21no—
80C24×C4C2311yescharacteristic
81C2×#137C2314yes—
82C2×#131C2314yes—
83C22×M16C2312yes—
84C22×M16C2312yes—
85C22×M16C2312yes—
86C23×C8C2312yes—
87#525—21no—
88#525—21no—
89#525—21no—
90#525—21no—
91#525D412yes—
92#525D412yes—
93#525C2312yes—
94#525C2312yes—
95C2×#123—21no—
96C2×C22⋊Q8—21no—
97C2×C22⋊Q8—21no—
98C2×C22⋊Q8—21no—
99C2×C22⋊Q8—21no—
100C2×C22⋊Q8—21no—
101C2×C22⋊Q8—21no—
102C2×C22⋊Q8—21no—
103C2×C22⋊Q8—21no—
104C2×C22⋊Q8—21no—
105C2×C22⋊Q8—21no—
106C2×C22⋊Q8D411yescharacteristic
107C2×C22⋊Q8D411yescharacteristic
108C2×C22⋊Q8C2312yes—
109C2×C22⋊Q8C2312yes—
110C2×#121D411yescharacteristic
111C2×#121D411yescharacteristic
112C2×#120—21no—
113C2×C4×D4—21no—
114C2×C4×D4—21no—
115C2×#117C2311yescharacteristic
116C22×C4⋊C4—21no—
117C22×C4⋊C4—21no—
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—21no—
125C22×C4⋊C4—21no—
126C22×C4⋊C4—21no—
127C22×C4⋊C4—21no—
128C22×C4⋊C4C2312yes—
129C22×C4⋊C4C2312yes—
130C22×C4⋊C4C2312yes—
131C22×C4⋊C4C2311yescharacteristic
132C22×C22⋊C4—21no—
133#485—24no—
134#484—24no—
135#484—24no—
136#484—22no—
137#484—22no—
138#483—24no—
139#483—24no—
140#483—22no—
141#483—22no—
142#483—24no—
143#483—24no—
144#483—28no—
145#483—24no—
146#483—24no—
147#483—28no—
148#481—24no—
149#481—24no—
150#481—22no—
151#480—24no—
152#480—24no—
153#480—22no—
154#470—24no—
155#468—24no—
156#467—24no—
157#465—24no—
158#452—24no—
159#451—22no—
160#451—22no—
161#451—22no—
162#450—22no—
163#448—22no—
164#448—22no—
165#436—24no—
166#435—24no—
167#435—24no—
168#435—24no—
169#435—24no—
170C8×D4—24no—
171C8×D4—24no—
172C8×D4—24no—
173#433—24no—
174#432—22no—
175#431—22no—
176C2×#108C2318yes—
177#428—24no—
178#428C2318yes—
179#428C2314yes—
180C2×#107—22no—
181C2×#106—22no—
182C2×#106—24no—
183C2×#106—22no—
184C2×#106—22no—
185C2×#106C2318yes—
186#424C2314yes—
187#419C2314yes—
188#417—24no—
189#417C2318yes—
190#417C2314yes—
191C2×#103—22no—
192C2×#103—22no—
193C2×#103—24no—
194C2×#103—22no—
195C2×#103C2318yes—
196C2×#102—22no—
197C2×#101C2318yes—
198#408—24no—
199#408C2314yes—
200#407—21no—
201#407—21no—
202#407—21no—
203#407—21no—
204#407—21no—
205#407—21no—
206#407—22no—
207#407C2312yes—
208#407C2312yes—
209#407C2312yes—
210#407C2312yes—
211#407C2312yes—
212#407C2312yes—
213C2×C22⋊C8—21no—
214C2×C22⋊C8—21no—
215C2×C22⋊C8—21no—
216C2×C22⋊C8—21no—
217C2×C22⋊C8—21no—
218C2×C22⋊C8—21no—
219C2×C22⋊C8—22no—
220C2×C22⋊C8D411yescharacteristic
221C2×C22⋊C8D411yescharacteristic
222C2×C22⋊C8D412yes—
223C2×C22⋊C8D412yes—
224C2×C22⋊C8D412yes—
225C2×C22⋊C8C2312yes—
226C2×C22⋊C8C2312yes—
227#405C2314yes—
228#343C2318yes—
229#343C2318yes—
230#343C2318yes—
231#341C2318yes—
232C25#4111yescharacteristic
233C2×#41—21no—
234C2×#41—21no—
235C2×#41—44no—
236C2×#41C2×D412yes—
237C2×#41C2412yes—
238C22×Q8—21no—
239C22×Q8—21no—
240C22×Q8—21no—
241C22×Q8—21no—
242C22×Q8—21no—
243C22×Q8—44no—
244C22×Q8C2×D411yescharacteristic
245C22×Q8C2412yes—
246C22×D4—21no—
247C22×D4—21no—
248C22×D4—21no—
249C22×D4C2×D411yescharacteristic
250C23×C4—21no—
251C23×C4—21no—
252C23×C4—21no—
253C23×C4—22no—
254C23×C4—22no—
255C23×C4—22no—
256C23×C4—44no—
257C23×C4—41no—
258C23×C4—41no—
259C23×C4—41no—
260C23×C4—41no—
261C23×C4—84no—
262C23×C4C2×D411yescharacteristic
263C23×C4C2×D411yescharacteristic
264C23×C4C2×D411yescharacteristic
265C23×C4C2×D411yescharacteristic
266C23×C4C2×D411yescharacteristic
267C23×C4C2×D411yescharacteristic
268C23×C4C2×D411yescharacteristic
269C23×C4C2×D411yescharacteristic
270C23×C4#4111yescharacteristic
271C23×C4#4111yescharacteristic
272C23×C4#4111yescharacteristic
273C23×C4C2411yescharacteristic
274C23×C4C2411yescharacteristic
275C23×C4C2411yescharacteristic
276#137—48no—
277C2×Q16—24no—
278C2×SD16—24no—
279#131—48no—
280C2×M16—22no—
281C2×M16—22no—
282C2×M16—22no—
283C2×M16—24no—
284C2×M16—44no—
285C2×M16—44no—
286C2×M16—44no—
287C2×M16C2414yes—
288C2×M16C2414yes—
289C2×M16C2414yes—
290C22×C8—22no—
291C22×C8—22no—
292C22×C8—22no—
293C22×C8—24no—
294C22×C8—44no—
295C22×C8C2×D412yes—
296C22×C8C2×D414yes—
297C22×C8C2×D412yes—
298C22×C8C2414yes—
299#123—22no—
300#123—22no—
301#123—22no—
302#123—22no—
303C22⋊Q8—21no—
304C22⋊Q8—21no—
305C22⋊Q8—21no—
306C22⋊Q8—21no—
307C22⋊Q8—22no—
308C22⋊Q8—22no—
309C22⋊Q8—22no—
310C22⋊Q8—22no—
311C22⋊Q8—22no—
312C22⋊Q8—22no—
313C22⋊Q8—22no—
314C22⋊Q8—22no—
315C22⋊Q8—41no—
316C22⋊Q8—41no—
317C22⋊Q8—41no—
318C22⋊Q8—41no—
319C22⋊Q8—41no—
320C22⋊Q8—41no—
321C22⋊Q8—41no—
322C22⋊Q8—41no—
323C22⋊Q8C2×D412yes—
324C22⋊Q8C2×D412yes—
325C22⋊Q8C2×D412yes—
326C22⋊Q8C2×D412yes—
327#121—21no—
328#121—21no—
329#121—21no—
330#121—21no—
331#121C2×D412yes—
332#121C2×D412yes—
333#121C2×D412yes—
334#121C2×D412yes—
335#120—22no—
336#120—22no—
337#120—22no—
338#120—22no—
339C4×D4—22no—
340C4×D4—22no—
341C4×D4—22no—
342C4×D4—22no—
343C4×D4—22no—
344C4×D4—22no—
345C4×D4—22no—
346C4×D4—22no—
347#117—21no—
348#117—21no—
349#117C2×D412yes—
350#117C2412yes—
351C2×C4⋊C4—21no—
352C2×C4⋊C4—21no—
353C2×C4⋊C4—22no—
354C2×C4⋊C4—22no—
355C2×C4⋊C4—22no—
356C2×C4⋊C4—22no—
357C2×C4⋊C4—22no—
358C2×C4⋊C4—22no—
359C2×C4⋊C4—22no—
360C2×C4⋊C4—22no—
361C2×C4⋊C4—22no—
362C2×C4⋊C4—22no—
363C2×C4⋊C4—22no—
364C2×C4⋊C4—22no—
365C2×C4⋊C4—21no—
366C2×C4⋊C4—21no—
367C2×C4⋊C4—21no—
368C2×C4⋊C4—21no—
369C2×C4⋊C4—22no—
370C2×C4⋊C4—22no—
371C2×C4⋊C4—22no—
372C2×C4⋊C4—22no—
373C2×C4⋊C4—22no—
374C2×C4⋊C4—21no—
375C2×C4⋊C4—41no—
376C2×C4⋊C4—41no—
377C2×C4⋊C4—41no—
378C2×C4⋊C4—41no—
379C2×C4⋊C4—41no—
380C2×C4⋊C4—41no—
381C2×C4⋊C4—41no—
382C2×C4⋊C4—41no—
383C2×C4⋊C4—41no—
384C2×C4⋊C4—41no—
385C2×C4⋊C4—41no—
386C2×C4⋊C4—41no—
387C2×C4⋊C4—41no—
388C2×C4⋊C4—41no—
389C2×C4⋊C4—41no—
390C2×C4⋊C4—41no—
391C2×C4⋊C4C2×D411yescharacteristic
392C2×C4⋊C4C2×D411yescharacteristic
393C2×C4⋊C4C2414yes—
394C2×C4⋊C4C2412yes—
395C2×C22⋊C4—21no—
396C2×C22⋊C4—21no—
397C2×C22⋊C4—21no—
398C2×C22⋊C4—21no—
399C2×C22⋊C4—21no—
400C2×C22⋊C4—22no—
401C2×C22⋊C4—22no—
402C2×C22⋊C4—41no—
403C2×C22⋊C4—41no—
404C2×C22⋊C4—41no—
405C2×C22⋊C4—41no—
406C2×C42—21no—
407#108—48no—
408#107—28no—
409#107—24no—
410#106—28no—
411#106—28no—
412#106—28no—
413#106—24no—
414C4⋊C8—24no—
415C4⋊C8—24no—
416#103—28no—
417#103—24no—
418#103—28no—
419#103—28no—
420#103—24no—
421#103—24no—
422#102—28no—
423#102—24no—
424#101—48no—
425C22⋊C8—22no—
426C22⋊C8—22no—
427C22⋊C8—22no—
428C22⋊C8—22no—
429C22⋊C8—22no—
430C22⋊C8—22no—
431C22⋊C8—22no—
432C22⋊C8—22no—
433C22⋊C8—22no—
434C22⋊C8—22no—
435C22⋊C8—22no—
436C22⋊C8—22no—
437C22⋊C8—24no—
438C22⋊C8—24no—
439C22⋊C8C2×D412yes—
440C22⋊C8C2×D412yes—
441C22⋊C8C2×D414yes—
442C22⋊C8C2×D412yes—
443C22⋊C8C2×D412yes—
444C22⋊C8C2×D414yes—
445#97—24no—
446C4×C8—24no—
447C24—24no—
448C24—21no—
449C24—42no—
450C24—42no—
451C24#12111yescharacteristic
452C24#12111yescharacteristic
453C24#12111yescharacteristic
454C24#12111yescharacteristic
455C24C2×#4111yescharacteristic
456C24C2×#4111yescharacteristic
457C24C2×#4111yescharacteristic
458#41—28no—
459#41—44no—
460#41—82no—
461#41—82no—
462C2×Q8—21no—
463C2×Q8—22no—
464C2×Q8—22no—
465C2×Q8—28no—
466C2×Q8—42no—
467C2×Q8—44no—
468C2×Q8—44no—
469C2×Q8—41no—
470C2×Q8—41no—
471C2×Q8—82no—
472C2×Q8—82no—
473C2×Q8—82no—
474C2×Q8C22×D412yes—
475C2×D4—22no—
476C2×D4—22no—
477C2×D4—22no—
478C2×D4—22no—
479C2×D4—22no—
480C2×D4—22no—
481C2×D4—21no—
482C2×D4—42no—
483C2×D4—44no—
484C2×D4—82no—
485C2×D4—82no—
486C2×D4C22×D412yes—
487C22×C4—24no—
488C22×C4—24no—
489C22×C4—24no—
490C22×C4—21no—
491C22×C4—21no—
492C22×C4—21no—
493C22×C4—22no—
494C22×C4—22no—
495C22×C4—22no—
496C22×C4—22no—
497C22×C4—24no—
498C22×C4—42no—
499C22×C4—42no—
500C22×C4—42no—
501C22×C4—42no—
502C22×C4—42no—
503C22×C4—42no—
504C22×C4—42no—
505C22×C4—42no—
506C22×C4—42no—
507C22×C4—42no—
508C22×C4—42no—
509C22×C4—41no—
510C22×C4—41no—
511C22×C4—41no—
512C22×C4—41no—
513C22×C4—42no—
514C22×C4—42no—
515C22×C4—42no—
516C22×C4—42no—
517C22×C4—42no—
518C22×C4—42no—
519C22×C4—82no—
520C22×C4—82no—
521C22×C4—84no—
522C22×C4—84no—
523C22×C4—84no—
524C22×C4—84no—
525C22×C4—82no—
526C22×C4—84no—
527C22×C4—84no—
528C22×C4—84no—
529C22×C4#12111yescharacteristic
530C22×C4#12111yescharacteristic
531C22×C4#12111yescharacteristic
532C22×C4#12111yescharacteristic
533C22×C4#12111yescharacteristic
534C22×C4#12111yescharacteristic
535C22×C4#12111yescharacteristic
536C22×C4#12111yescharacteristic
537C22×C4#12111yescharacteristic
538C22×C4#12111yescharacteristic
539C22×C4#12111yescharacteristic
540C22×C4#12111yescharacteristic
541C22×C4C22×D411yescharacteristic
542C22×C4C22×D411yescharacteristic
543C22×C4C22×D411yescharacteristic
544C22×C4C22×D411yescharacteristic
545C22×C4C22×D411yescharacteristic
546C22×C4C22×D411yescharacteristic
547C22×C4C22×D411yescharacteristic
548C22×C4C22×D411yescharacteristic
549C22×C4C22×D411yescharacteristic
550C22×C4C22×D411yescharacteristic
551C22×C4C22×D411yescharacteristic
552C22×C4C22×D411yescharacteristic
553C22×C4C2×#4111yescharacteristic
554C22×C4C2×#4111yescharacteristic
555C22×C4C2×#4111yescharacteristic
556C22×C4C2511yescharacteristic
557Q16—84no—
558SD16—84no—
559M16—28no—
560M16—28no—
561M16—28no—
562M16—44no—
563M16—84no—
564M16—82no—
565M16—82no—
566C2×C8—28no—
567C2×C8—24no—
568C2×C8—24no—
569C2×C8—24no—
570C2×C8—42no—
571C2×C8—44no—
572C2×C8—42no—
573C2×C8—44no—
574C2×C8—84no—
575C2×C8—82no—
576C2×C8—82no—
577C2×C8C22×D414yes—
578C2×C8C22×D414yes—
579C4⋊C4—22no—
580C4⋊C4—22no—
581C4⋊C4—22no—
582C4⋊C4—22no—
583C4⋊C4—21no—
584C4⋊C4—21no—
585C4⋊C4—24no—
586C4⋊C4—22no—
587C4⋊C4—24no—
588C4⋊C4—22no—
589C4⋊C4—42no—
590C4⋊C4—42no—
591C4⋊C4—42no—
592C4⋊C4—42no—
593C4⋊C4—42no—
594C4⋊C4—42no—
595C4⋊C4—41no—
596C4⋊C4—41no—
597C4⋊C4—42no—
598C4⋊C4—42no—
599C4⋊C4—42no—
600C4⋊C4—42no—
601C4⋊C4C22×D412yes—
602C4⋊C4C22×D412yes—
603C22⋊C4—22no—
604C22⋊C4—22no—
605C22⋊C4—22no—
606C22⋊C4—22no—
607C22⋊C4—22no—
608C22⋊C4—22no—
609C22⋊C4—22no—
610C22⋊C4—22no—
611C22⋊C4—22no—
612C22⋊C4—22no—
613C22⋊C4—42no—
614C22⋊C4—42no—
615C22⋊C4—42no—
616C22⋊C4—42no—
617C42—22no—
618C42—22no—
619C23—22no—
620C23—22no—
621C23—22no—
622C23—22no—
623C23—22no—
624C23—22no—
625C23—22no—
626C23—22no—
627C23—22no—
628C23—22no—
629C23—22no—
630C23—22no—
631C23—22no—
632C23—41no—
633C23—41no—
634C23—41no—
635C23—41no—
636C23—41no—
637C23—41no—
638C23—41no—
639C23—41no—
640C23—416no—
641C23—42no—
642C23—81no—
643C23—81no—
644C23#47114yes—
645C23C2×#12111yescharacteristic
646C23C2×#12111yescharacteristic
647C23C2×#12111yescharacteristic
648C23C2×#12111yescharacteristic
649C23C2×#12111yescharacteristic
650C23C2×#12111yescharacteristic
651C23C22×#4111yescharacteristic
652Q8—24no—
653Q8—44no—
654Q8—44no—
655Q8—81no—
656Q8—82no—
657Q8—82no—
658D4—24no—
659D4—44no—
660D4—44no—
661D4—44no—
662D4—44no—
663D4—81no—
664D4—82no—
665D4—82no—
666C2×C4—22no—
667C2×C4—22no—
668C2×C4—22no—
669C2×C4—22no—
670C2×C4—22no—
671C2×C4—22no—
672C2×C4—22no—
673C2×C4—22no—
674C2×C4—22no—
675C2×C4—22no—
676C2×C4—22no—
677C2×C4—22no—
678C2×C4—22no—
679C2×C4—22no—
680C2×C4—22no—
681C2×C4—22no—
682C2×C4—22no—
683C2×C4—22no—
684C2×C4—41no—
685C2×C4—41no—
686C2×C4—41no—
687C2×C4—41no—
688C2×C4—41no—
689C2×C4—41no—
690C2×C4—41no—
691C2×C4—41no—
692C2×C4—41no—
693C2×C4—41no—
694C2×C4—41no—
695C2×C4—41no—
696C2×C4—42no—
697C2×C4—44no—
698C2×C4—42no—
699C2×C4—42no—
700C2×C4—44no—
701C2×C4—44no—
702C2×C4—82no—
703C2×C4—81no—
704C2×C4—81no—
705C2×C4—82no—
706C2×C4—84no—
707C2×C4—84no—
708C2×C4—84no—
709C2×C4—82no—
710C2×C4—82no—
711C2×C4—84no—
712C2×C4—84no—
713C2×C4—84no—
714C2×C4—82no—
715C2×C4—82no—
716C2×C4—84no—
717C2×C4C2×#12111yescharacteristic
718C2×C4C2×#12111yescharacteristic
719C2×C4C2×#12111yescharacteristic
720C2×C4C2×#12111yescharacteristic
721C2×C4C2×#12111yescharacteristic
722C2×C4C2×#12111yescharacteristic
723C2×C4C23×D411yescharacteristic
724C2×C4C23×D411yescharacteristic
725C2×C4#58514yes—
726C8—24no—
727C8—24no—
728C8—44no—
729C8—44no—
730C8—44no—
731C22—28no—
732C22—21no—
733C22—21no—
734C22—21no—
735C22—21no—
736C22—21no—
737C22—21no—
738C22—21no—
739C22—21no—
740C22—21no—
741C22—21no—
742C22—21no—
743C22—21no—
744C22—21no—
745C22—21no—
746C22—21no—
747C22—21no—
748C22—44no—
749C22—44no—
750C22—44no—
751C22—44no—
752C22—44no—
753C22—44no—
754C22—42no—
755C22—42no—
756C22—42no—
757C22—162no—
758C22C2×#47112yes—
759C22C2×#47112yes—
760C22C2×#47112yes—
761C22#306912yes—
762C22C22×#12111yescharacteristic
763C22#349112yes—
764C4—21no—
765C4—21no—
766C4—21no—
767C4—21no—
768C4—21no—
769C4—21no—
770C4—42no—
771C4—42no—
772C4—42no—
773C4—84no—
774C4—82no—
775C4—82no—
776C4#348512yes—
777C4#348512yes—
778C2—22no—
779C2—22no—
780C2—22no—
781C2—22no—
782C2—22no—
783C2—41no—
784C2—41no—
785C2—82no—
786C2#3544711yescharacteristic
787C2C22×#47111yescharacteristic
788C2C2×#306911yescharacteristic
subgroupG/H
center, socleC22C22×#121
commutator, Frattini, cosocleC22×C4C25
prime radicalC2×#525C22
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C22 ◁ C24×C4 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
3. C22×#483C2semidirect
5. #28135C2semidirect
6. #27672C2semidirect
7. #25268C2semidirect
8. #24621C2semidirect
9. #24571C2semidirect
10. #21948C2semidirect
11. #21753C2semidirect
12. C2×#1821C2semidirect
37. C2×#483C22semidirect
51. C22×#106C22semidirect
53. C22×#103C22semidirect
59. #2090C22semidirect
60. #2079C22semidirect
61. #2064C22semidirect
62. #2052C22semidirect
63. #1951C22semidirect
64. #1930C22semidirect
65. #1908C22semidirect
67. #1901C22semidirect
69. #1855C22semidirect
71. #1821C22semidirect
72. #1821C22semidirect
73. #1815C22semidirect
74. #1810C22semidirect
75. #1784C22semidirect
76. C2×#343C22semidirect

Maximal subgroups

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

subgroupindex
#607512
C2×#30922
C22×#4832
#602332
#281352
#276722
#252682
#246212
#245712
#219482
#217532
C2×#18212