Finite Group Databasebeta

← #6496358

Subgroups — #6496358

Order 512.

1966 conjugacy classes of subgroups.

The subgroup lattice has 763 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3101C211yesmaximal, characteristic
2C2×#3077C211yesmaximal, characteristic
3#35322C211yesmaximal, characteristic, complemented
4#34126C211yesmaximal, characteristic
5#33201C211yesmaximal, characteristic, complemented
6#33197C211yesmaximal, characteristic, complemented
7#33032C211yesmaximal, characteristic, complemented
8#33026C211yesmaximal, characteristic, complemented
9#29868C211yesmaximal, characteristic, complemented
10#29865C211yesmaximal, characteristic, complemented
11#29829C211yesmaximal, characteristic, complemented
12#29828C211yesmaximal, characteristic, complemented
13#24822C214yesmaximal, complemented
14#24686C214yesmaximal, complemented
15#24590C214yesmaximal, complemented
16#24538C214yesmaximal
17#21974C211yesmaximal, characteristic, complemented
18#21892C211yesmaximal, characteristic, complemented
19#21837C211yesmaximal, characteristic, complemented
20C2×#533C2211yescharacteristic
21C2×#533C2211yescharacteristic
22C22×C4×D4C2211yescharacteristic
23#3101—28no—
24C2×#483C2212yes—
25#3077—28no—
26C2×#478C2212yes—
27C2×#478C2212yes—
28C2×#476C2211yescharacteristic
29C2×#476C2211yescharacteristic
30C2×#476C2211yescharacteristic
31C2×#476C2211yescharacteristic
32C2×#474C2211yescharacteristic
33C2×#474C2211yescharacteristic
34C2×#461C2211yescharacteristic
35C2×#461C2211yescharacteristic
36C2×#450C2212yes—
37C2×C4×SD16C2212yes—
38C2×C4×SD16C2212yes—
39C2×#431C2211yescharacteristic
40C2×#428C2212yes—
41C2×#423C2211yescharacteristic
42C2×#418C2212yes—
43#2868C2211yescharacteristic, complemented
44#2862C2211yescharacteristic, complemented
45#2862C2211yescharacteristic, complemented
46#2862C2211yescharacteristic, complemented
47#2621—22no—
48#2565—21no—
49#2565—21no—
50#2565C2214yescomplemented
51#2499—21no—
52#2499—21no—
53#2499C2214yes—
54#2357C2212yes—
55#2353—22no—
56#2349C2212yes—
57#2345C2212yes—
58#2342—22no—
59D4×C22⋊C4C2212yes—
60#2327—22no—
61#2293C2211yescharacteristic
62#2293C2211yescharacteristic
63#2290—21no—
64#2290—21no—
65#2283C2211yescharacteristic
66#2280—21no—
67C42×D4C2211yescharacteristic
68C42×D4C2211yescharacteristic
69C4×#117C2211yescharacteristic
70C2×C4×C22⋊C4—21no—
71#2085C2214yescomplemented
72#2084C2214yescomplemented
73#2073C2214yes—
74#2071C2214yes—
75#2068C2214yescomplemented
76#2066C2214yescomplemented
77#2055C2214yes—
78#2055C2214yes—
79#1991C2214yescomplemented
80#1988C2211yescharacteristic, complemented
81#1988C2211yescharacteristic, complemented
82#1987C2211yescharacteristic, complemented
83#1987C2211yescharacteristic, complemented
84#1987C2211yescharacteristic, complemented
85#1987C2211yescharacteristic, complemented
86#1981C2211yescharacteristic, complemented
87#1981C2211yescharacteristic, complemented
88#1949C2214yescomplemented
89#1948C2214yescomplemented
90#1939C2214yescomplemented
91#1928C2214yescomplemented
92#1927C2214yescomplemented
93#1894C2214yes—
94#1877C2214yes—
95#1877C2214yes—
96#1851C2214yes—
97#1842C2211yescharacteristic, complemented
98#1842C2211yescharacteristic, complemented
99#1831C2211yescharacteristic, complemented
100#1831C2211yescharacteristic, complemented
101#1825C2214yes—
102#1805C2214yescomplemented
103#1804C2214yes—
104#1802C2214yes—
105C23×D4C2311yescharacteristic
106C24×C4—21no—
107C22×SD16C2312yes—
108C22×SD16C2312yes—
109C22×M16C2312yes—
110#533—24no—
111#533—24no—
112#533—24no—
113#533—24no—
114C2×C4⋊Q8—22no—
115C2×C4⋊Q8C2311yescharacteristic
116C2×C4⋊Q8C2311yescharacteristic
117C2×C4⋊Q8C2311yescharacteristic
118C2×C4⋊Q8C2311yescharacteristic
119C2×#125—21no—
120C2×#125C2312yes—
121C2×C22⋊Q8—21no—
122C2×C22⋊Q8—21no—
123C2×C22⋊Q8—21no—
124C2×C22⋊Q8C2312yes—
125C2×C4×Q8—21no—
126C2×C4×Q8—21no—
127C2×C4×Q8—21no—
128C2×C4×Q8C2312yes—
129C2×C4×D4—21no—
130C2×C4×D4—21no—
131C2×C4×D4—24no—
132C2×C4×D4D418yes—
133C2×C4×D4C2312yes—
134C2×C4×D4C2312yes—
135C2×C4×D4C2311yescharacteristic
136C2×C4×D4C2311yescharacteristic
137C2×C4×D4C2311yescharacteristic
138C2×C4×D4C2311yescharacteristic
139C2×#117—21no—
140C2×#117—21no—
141C2×#117—21no—
142C2×#117D412yes—
143C2×#117C2312yes—
144C22×C4⋊C4C2311yescharacteristic
145C22×C22⋊C4—21no—
146C22×C22⋊C4—22no—
147C22×C42—21no—
148C22×C42—21no—
149C22×C42C2311yescharacteristic
150#483—28no—
151#478—28no—
152#478—28no—
153#476—24no—
154#476—24no—
155#476—24no—
156#476—24no—
157#474—24no—
158#474—24no—
159#461—24no—
160#461—24no—
161#450—28no—
162C4×SD16—28no—
163C4×SD16—28no—
164#431—24no—
165#428—28no—
166C2×#107C2312yes—
167C2×#107C2312yes—
168C2×#106C2312yes—
169C2×#106C2312yes—
170C2×#106C2312yes—
171C2×#106C2312yes—
172#423—24no—
173C2×C4⋊C8C2312yes—
174C2×C4⋊C8C2311yescharacteristic
175C2×C4⋊C8C2311yescharacteristic
176C2×C4⋊C8C2311yescharacteristic
177C2×C4⋊C8C2311yescharacteristic
178C2×C4⋊C8C2314yes—
179C2×C4⋊C8C2314yes—
180#418—28no—
181C2×#103C2312yes—
182C2×#103C2312yes—
183C2×#103C2314yes—
184C2×#103C2314yes—
185C2×#102C2312yes—
186C2×#102C2312yes—
187C2×#102C2312yes—
188C2×#102C2312yes—
189C2×#102C2312yes—
190C2×#102C2312yes—
191C2×C22⋊C8C2312yes—
192C2×C4×C8C2312yes—
193#398—24no—
194#398—24no—
195#397—24no—
196#397—24no—
197#391—21no—
198#391—21no—
199#391—21no—
200#391—21no—
201#391—22no—
202#391—22no—
203#391C2314yes—
204#391C2314yes—
205#390C2312yes—
206#390C2312yes—
207#389C2312yes—
208#389C2312yes—
209#388—22no—
210#388—22no—
211#388—22no—
212#388—22no—
213#387—24no—
214#387—24no—
215#387—24no—
216#387—24no—
217#387—22no—
218#387—22no—
219#386—22no—
220#386—22no—
221#385—22no—
222#385—22no—
223#384—21no—
224#384—21no—
225#384C2314yes—
226#383—21no—
227#382—21no—
228#382—21no—
229#382—22no—
230#382C2314yes—
231#382C2312yes—
232#381—21no—
233#381—22no—
234#380—22no—
235#380—22no—
236#380C2312yes—
237#379—22no—
238C4×C4⋊C4D411yescharacteristic
239C4×C4⋊C4D411yescharacteristic
240C4×C4⋊C4C2312yes—
241C4×C4⋊C4C2312yes—
242C4×C4⋊C4C2311yescharacteristic
243C4×C4⋊C4C2311yescharacteristic
244C4×C4⋊C4C2312yes—
245C4×C22⋊C4—21no—
246C4×C22⋊C4—22no—
247C4×C22⋊C4—22no—
248C4×C22⋊C4—22no—
249C4×C22⋊C4—21no—
250C4×C22⋊C4—21no—
251C4×C22⋊C4—21no—
252C4×C22⋊C4—21no—
253C4×C22⋊C4—22no—
254C4×C22⋊C4D411yescharacteristic
255C4×C22⋊C4D411yescharacteristic
256C4×C22⋊C4C2312yes—
257#376—21no—
258#376D412yes—
259C2×#95—22no—
260C43C2311yescharacteristic
261C43C2311yescharacteristic
262#340C2314yes—
263#340C2314yes—
264#340C2314yes—
265#340C2314yes—
266#340C2314yes—
267#340C2314yes—
268#336C2314yes—
269#336C2314yes—
270C25—21no—
271C22×Q8—21no—
272C22×Q8—21no—
273C22×Q8—21no—
274C22×Q8C2412yes—
275C22×D4—24no—
276C22×D4—21no—
277C22×D4—22no—
278C22×D4—42no—
279C22×D4C2×D414yes—
280C22×D4C2411yescharacteristic
281C22×D4C2411yescharacteristic
282C23×C4—21no—
283C23×C4—21no—
284C23×C4—21no—
285C23×C4—28no—
286C23×C4—21no—
287C23×C4—21no—
288C23×C4—22no—
289C23×C4—22no—
290C23×C4—82no—
291C23×C4—82no—
292C23×C4C2×D411yescharacteristic
293C23×C4C2×D411yescharacteristic
294C23×C4C2411yescharacteristic
295C2×SD16—24no—
296C2×SD16—24no—
297C2×SD16—28no—
298C2×SD16—44no—
299C2×M16—24no—
300C2×M16—44no—
301C22×C8C2412yes—
302C22×C8C2412yes—
303C22×C8C2412yes—
304C22×C8C2412yes—
305C4⋊Q8—22no—
306C4⋊Q8—22no—
307C4⋊Q8—22no—
308C4⋊Q8—22no—
309C4⋊Q8—22no—
310C4⋊Q8—22no—
311C4⋊Q8—22no—
312C4⋊Q8—22no—
313C4⋊Q8—48no—
314#125—24no—
315#125—24no—
316#125—44no—
317C22⋊Q8—24no—
318C22⋊Q8—24no—
319C22⋊Q8—44no—
320C22⋊Q8—44no—
321C22⋊Q8—44no—
322C4×Q8—24no—
323C4×Q8—24no—
324C4×Q8—44no—
325C4×Q8—44no—
326C4×Q8—44no—
327C4×D4—24no—
328C4×D4—24no—
329C4×D4—28no—
330C4×D4—28no—
331C4×D4—22no—
332C4×D4—22no—
333C4×D4—22no—
334C4×D4—22no—
335C4×D4—42no—
336C4×D4—42no—
337C4×D4C2×D414yes—
338C4×D4C2×D414yes—
339C4×D4C2×D414yes—
340C4×D4C2×D414yes—
341#117—24no—
342#117—24no—
343#117—44no—
344#117—44no—
345#117—82no—
346#117—82no—
347C2×C4⋊C4—21no—
348C2×C4⋊C4—22no—
349C2×C4⋊C4—21no—
350C2×C4⋊C4—21no—
351C2×C4⋊C4—22no—
352C2×C4⋊C4—22no—
353C2×C4⋊C4—21no—
354C2×C4⋊C4—21no—
355C2×C4⋊C4—21no—
356C2×C4⋊C4—22no—
357C2×C4⋊C4—22no—
358C2×C4⋊C4—24no—
359C2×C4⋊C4—24no—
360C2×C4⋊C4—22no—
361C2×C4⋊C4—22no—
362C2×C4⋊C4C2×D412yes—
363C2×C4⋊C4C2×D414yes—
364C2×C4⋊C4C2×D412yes—
365C2×C4⋊C4C2412yes—
366C2×C4⋊C4C2412yes—
367C2×C4⋊C4C2412yes—
368C2×C4⋊C4C2412yes—
369C2×C4⋊C4C2412yes—
370C2×C4⋊C4C2411yescharacteristic
371C2×C4⋊C4C2411yescharacteristic
372C2×C22⋊C4—28no—
373C2×C22⋊C4—21no—
374C2×C22⋊C4—21no—
375C2×C22⋊C4—21no—
376C2×C22⋊C4—21no—
377C2×C22⋊C4—22no—
378C2×C22⋊C4—22no—
379C2×C22⋊C4—22no—
380C2×C22⋊C4—22no—
381C2×C22⋊C4—22no—
382C2×C22⋊C4—22no—
383C2×C22⋊C4—22no—
384C2×C22⋊C4—22no—
385C2×C22⋊C4—22no—
386C2×C22⋊C4—48no—
387C2×C22⋊C4C2×D412yes—
388C2×C22⋊C4C2×D412yes—
389C2×C42—22no—
390C2×C42—21no—
391C2×C42—21no—
392C2×C42—22no—
393C2×C42—22no—
394C2×C42—22no—
395C2×C42—82no—
396C2×C42—82no—
397C2×C42C2×D411yescharacteristic
398C2×C42C2×D411yescharacteristic
399C2×C42C2×D412yes—
400C2×C42C2×D411yescharacteristic
401C2×C42C2×D411yescharacteristic
402C2×C42C2×D412yes—
403C2×C42C2×D411yescharacteristic
404C2×C42C2×D411yescharacteristic
405C2×C42C2×D414yes—
406C2×C42#4114yes—
407C2×C42C2412yes—
408C2×C42C2412yes—
409C2×C42C2411yescharacteristic
410C2×C42C2411yescharacteristic
411#107—24no—
412#107—24no—
413#106—24no—
414#106—24no—
415#106—24no—
416#106—24no—
417C4⋊C8—22no—
418C4⋊C8—22no—
419C4⋊C8—24no—
420C4⋊C8—22no—
421C4⋊C8—22no—
422C4⋊C8—44no—
423C4⋊C8—44no—
424#103—24no—
425#103—24no—
426#103—44no—
427#103—44no—
428#102—24no—
429#102—24no—
430#102—24no—
431#102—24no—
432#102—24no—
433#102—24no—
434C22⋊C8—24no—
435C4×C8—24no—
436#95—22no—
437#95—22no—
438#95—22no—
439#95—22no—
440#95—22no—
441#95—22no—
442#95—22no—
443#95—21no—
444#95—21no—
445#95—24no—
446#95—24no—
447#95—24no—
448#95—24no—
449#95—24no—
450#95—24no—
451#95C2×D412yes—
452#95C2×D412yes—
453#95C2×D412yes—
454#95C2×D412yes—
455C24—21no—
456C24—21no—
457C24—24no—
458C24—44no—
459C24—44no—
460C24—81no—
461C24—81no—
462C24C22×D411yescharacteristic
463C2×Q8—22no—
464C2×Q8—22no—
465C2×Q8—24no—
466C2×Q8—24no—
467C2×Q8—44no—
468C2×Q8—44no—
469C2×Q8—42no—
470C2×Q8—42no—
471C2×Q8—42no—
472C2×Q8—42no—
473C2×Q8—42no—
474C2×D4—28no—
475C2×D4—24no—
476C2×D4—21no—
477C2×D4—21no—
478C2×D4—22no—
479C2×D4—22no—
480C2×D4—22no—
481C2×D4—44no—
482C2×D4—48no—
483C2×D4—44no—
484C2×D4C22×D412yes—
485C2×D4C22×D412yes—
486C2×D42−1+414yes—
487C22×C4—22no—
488C22×C4—22no—
489C22×C4—22no—
490C22×C4—22no—
491C22×C4—21no—
492C22×C4—21no—
493C22×C4—24no—
494C22×C4—24no—
495C22×C4—24no—
496C22×C4—24no—
497C22×C4—24no—
498C22×C4—22no—
499C22×C4—22no—
500C22×C4—22no—
501C22×C4—22no—
502C22×C4—22no—
503C22×C4—22no—
504C22×C4—42no—
505C22×C4—44no—
506C22×C4—44no—
507C22×C4—44no—
508C22×C4—42no—
509C22×C4—42no—
510C22×C4—42no—
511C22×C4—42no—
512C22×C4—44no—
513C22×C4—816no—
514C22×C4—82no—
515C22×C4—82no—
516C22×C4—81no—
517C22×C4—81no—
518C22×C4—81no—
519C22×C4—81no—
520C22×C4—81no—
521C22×C4—81no—
522C22×C4#12114yes—
523C22×C4#12114yes—
524C22×C4C22×D412yes—
525C22×C4C22×D412yes—
526C22×C4C22×D412yes—
527C22×C4C22×D411yescharacteristic
528C22×C4C22×D411yescharacteristic
529C22×C4C22×D411yescharacteristic
530C22×C4C22×D411yescharacteristic
531C22×C4C22×D412yes—
532C22×C4C22×D412yes—
533C22×C4C22×D411yescharacteristic
534C22×C4C2×#4112yes—
535C22×C4C2511yescharacteristic
536SD16—48no—
537SD16—48no—
538M16—48no—
539C2×C8—22no—
540C2×C8—22no—
541C2×C8—22no—
542C2×C8—22no—
543C2×C8—24no—
544C2×C8—24no—
545C2×C8—24no—
546C2×C8—24no—
547C4⋊C4—24no—
548C4⋊C4—24no—
549C4⋊C4—21no—
550C4⋊C4—21no—
551C4⋊C4—22no—
552C4⋊C4—22no—
553C4⋊C4—22no—
554C4⋊C4—22no—
555C4⋊C4—22no—
556C4⋊C4—22no—
557C4⋊C4—22no—
558C4⋊C4—22no—
559C4⋊C4—22no—
560C4⋊C4—22no—
561C4⋊C4—42no—
562C4⋊C4—48no—
563C4⋊C4—42no—
564C4⋊C4—42no—
565C4⋊C4—44no—
566C4⋊C4—44no—
567C4⋊C4—44no—
568C4⋊C4—44no—
569C4⋊C4—42no—
570C4⋊C4—42no—
571C4⋊C4—42no—
572C4⋊C4—48no—
573C4⋊C4—82no—
574C4⋊C4—82no—
575C4⋊C4C22×D412yes—
576C4⋊C4C22×D412yes—
577C22⋊C4—24no—
578C22⋊C4—24no—
579C22⋊C4—24no—
580C22⋊C4—24no—
581C22⋊C4—24no—
582C22⋊C4—42no—
583C22⋊C4—44no—
584C22⋊C4—44no—
585C22⋊C4—44no—
586C22⋊C4—44no—
587C22⋊C4—44no—
588C22⋊C4—44no—
589C22⋊C4—44no—
590C22⋊C4—82no—
591C22⋊C4—82no—
592C42—24no—
593C42—22no—
594C42—22no—
595C42—22no—
596C42—22no—
597C42—22no—
598C42—22no—
599C42—22no—
600C42—22no—
601C42—42no—
602C42—44no—
603C42—44no—
604C42—42no—
605C42—42no—
606C42—82no—
607C42—82no—
608C42#12114yes—
609C42#12114yes—
610C42C22×D412yes—
611C42C22×D412yes—
612C42C2×#4112yes—
613C42C2×#4112yes—
614C23—22no—
615C23—24no—
616C23—22no—
617C23—22no—
618C23—21no—
619C23—21no—
620C23—22no—
621C23—48no—
622C23—48no—
623C23—42no—
624C23—41no—
625C23—41no—
626C23—42no—
627C23—42no—
628C23—41no—
629C23—41no—
630C23—84no—
631C23—88no—
632C23—88no—
633C23C2×#12112yes—
634C23C23×D411yescharacteristic
635Q8—42no—
636Q8—42no—
637Q8—44no—
638Q8—84no—
639Q8—84no—
640Q8—84no—
641D4—22no—
642D4—22no—
643D4—22no—
644D4—24no—
645D4—48no—
646D4—42no—
647D4#53614yes—
648C2×C4—22no—
649C2×C4—22no—
650C2×C4—22no—
651C2×C4—22no—
652C2×C4—22no—
653C2×C4—21no—
654C2×C4—21no—
655C2×C4—22no—
656C2×C4—22no—
657C2×C4—24no—
658C2×C4—28no—
659C2×C4—22no—
660C2×C4—22no—
661C2×C4—22no—
662C2×C4—22no—
663C2×C4—22no—
664C2×C4—22no—
665C2×C4—22no—
666C2×C4—22no—
667C2×C4—22no—
668C2×C4—22no—
669C2×C4—22no—
670C2×C4—44no—
671C2×C4—41no—
672C2×C4—41no—
673C2×C4—41no—
674C2×C4—41no—
675C2×C4—48no—
676C2×C4—48no—
677C2×C4—42no—
678C2×C4—42no—
679C2×C4—42no—
680C2×C4—42no—
681C2×C4—42no—
682C2×C4—42no—
683C2×C4—44no—
684C2×C4—42no—
685C2×C4—42no—
686C2×C4—44no—
687C2×C4—44no—
688C2×C4—42no—
689C2×C4—42no—
690C2×C4—42no—
691C2×C4—42no—
692C2×C4—84no—
693C2×C4—84no—
694C2×C4—88no—
695C2×C4—84no—
696C2×C4—88no—
697C2×C4C2×#12112yes—
698C2×C4C2×#12112yes—
699C2×C4C2×#12112yes—
700C2×C4C2×#12112yes—
701C2×C4C2×#12112yes—
702C2×C4#57514yes—
703C2×C4#57712yes—
704C2×C4#57712yes—
705C2×C4C23×D411yescharacteristic
706C2×C4C22×#4111yescharacteristic
707C2×C4C2×2−1+412yes—
708C2×C4#58512yes—
709C8—42no—
710C8—42no—
711C8—42no—
712C8—42no—
713C22—22no—
714C22—22no—
715C22—24no—
716C22—22no—
717C22—42no—
718C22—44no—
719C22—42no—
720C22—44no—
721C22—42no—
722C22—42no—
723C22—42no—
724C22—42no—
725C22—42no—
726C22—816no—
727C22—82no—
728C22—82no—
729C22C22×#12111yescharacteristic
730C22#348912yes—
731C22C2×#57512yes—
732C22C2×#57711yescharacteristic
733C22C2×#57711yescharacteristic
734C4—22no—
735C4—24no—
736C4—22no—
737C4—22no—
738C4—22no—
739C4—42no—
740C4—42no—
741C4—42no—
742C4—42no—
743C4—42no—
744C4—82no—
745C4—82no—
746C4—82no—
747C4—82no—
748C4—82no—
749C4—82no—
750C4#304214yes—
751C4C2×#53611yescharacteristic
752C4#344911yescharacteristic
753C4#349512yes—
754C2—42no—
755C2—44no—
756C2—82no—
757C2#3530611yescharacteristic
758C2#6041511yescharacteristic
759C2C2×#304211yescharacteristic
760C2#6212612yes—
761C2#6214412yes—
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
prime radicalC23×D4C23
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ C4×#117 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
3. #35322C2semidirect
5. #33201C2semidirect
6. #33197C2semidirect
7. #33032C2semidirect
8. #33026C2semidirect
9. #29868C2semidirect
10. #29865C2semidirect
11. #29829C2semidirect
12. #29828C2semidirect
13. #24822C2semidirect
14. #24686C2semidirect
15. #24590C2semidirect
17. #21974C2semidirect
18. #21892C2semidirect
19. #21837C2semidirect
43. #2868C22semidirect
44. #2862C22semidirect
45. #2862C22semidirect
46. #2862C22semidirect
50. #2565C22semidirect
71. #2085C22semidirect
72. #2084C22semidirect
75. #2068C22semidirect
76. #2066C22semidirect
79. #1991C22semidirect
80. #1988C22semidirect
81. #1988C22semidirect
82. #1987C22semidirect
83. #1987C22semidirect
84. #1987C22semidirect
85. #1987C22semidirect
86. #1981C22semidirect
87. #1981C22semidirect
88. #1949C22semidirect
89. #1948C22semidirect
90. #1939C22semidirect
91. #1928C22semidirect
92. #1927C22semidirect
97. #1842C22semidirect
98. #1842C22semidirect
99. #1831C22semidirect
100. #1831C22semidirect
102. #1805C22semidirect

Maximal subgroups

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

subgroupindex
C2×#31012
C2×#30772
#353222
#341262
#332012
#331972
#330322
#330262
#298682
#298652
#298292
#298282
#248222
#246862
#245902
#245382
#219742
#218922
#218372