Finite Group Databasebeta

← #6604296

Subgroups — #6604296

Order 512.

1451 conjugacy classes of subgroups.

The subgroup lattice has 794 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#36285C211yesmaximal, characteristic
2C4×Q82C211yesmaximal, characteristic
3#33085C212yesmaximal
4#33067C211yesmaximal, characteristic
5#29520C212yesmaximal
6#29391C212yesmaximal
7#29177C211yesmaximal, characteristic
8#28206C211yesmaximal, characteristic
9#27313C212yesmaximal
10#26879C212yesmaximal
11#26711C212yesmaximal
12#26187C212yesmaximal
13#25060C211yesmaximal, characteristic
14#24994C211yesmaximal, characteristic
15#24333C211yesmaximal, characteristic
16#24333C211yesmaximal, characteristic
17#23069C211yesmaximal, characteristic
18#22971C211yesmaximal, characteristic
19#22832C211yesmaximal, characteristic
20#22763C211yesmaximal, characteristic
21#22674C211yesmaximal, characteristic
22C4×#462C211yesmaximal, characteristic
23#21123C212yesmaximal
24C2×Q82C2211yescharacteristic
25C2×#477C2211yescharacteristic
26C2×#477C2211yescharacteristic
27C2×#462C2211yescharacteristic
28C2×#441C2212yes—
29C2×C4×Q16C2211yescharacteristic
30C2×C4×Q16C2211yescharacteristic
31#2863C2212yes—
32#2859C2211yescharacteristic
33#2606—22no—
34#2590—22no—
35#2582C2211yescharacteristic
36#2582C2211yescharacteristic
37#2570—21no—
38#2565—21no—
39#2507C2212yes—
40#2446C2212yes—
41#2370—21no—
42#2369—21no—
43#2369—22no—
44#2369C2211yescharacteristic
45#2369C2212yes—
46#2356—21no—
47#2355C2211yescharacteristic
48Q8×C4⋊C4—21no—
49Q8×C4⋊C4C2211yescharacteristic
50Q8×C4⋊C4C2212yes—
51Q8×C4⋊C4C2211yescharacteristic
52Q8×C4⋊C4C2211yescharacteristic
53C4×C4⋊Q8—22no—
54C4×C4⋊Q8—21no—
55C4×C4⋊Q8C2211yescharacteristic
56C4×C4⋊Q8C2212yes—
57C4×C4⋊Q8C2211yescharacteristic
58#2295C2212yes—
59C42×Q8—21no—
60C42×Q8C2211yescharacteristic
61C42×Q8C2212yes—
62C42×Q8C2211yescharacteristic
63#2099C2212yes—
64#2096C2212yes—
65#2088C2212yes—
66#2088C2212yes—
67#2084C2212yes—
68#2083C2212yes—
69#2072C2212yes—
70#2057C2212yes—
71#2057C2212yes—
72#2043C2212yes—
73#2024C2212yes—
74#2024C2212yes—
75#1990C2211yescharacteristic
76#1990C2211yescharacteristic
77#1984C2211yescharacteristic
78#1984C2211yescharacteristic
79#1981C2211yescharacteristic
80#1948C2211yescharacteristic
81#1948C2211yescharacteristic
82#1947C2211yescharacteristic
83#1943C2212yes—
84#1943C2212yes—
85#1935C2212yes—
86#1935C2212yes—
87#1928C2212yes—
88#1928C2212yes—
89#1928C2211yescharacteristic
90#1928C2211yescharacteristic
91#1927C2212yes—
92#1927C2212yes—
93#1927C2212yes—
94#1920C2212yes—
95#1920C2212yes—
96#1919C2212yes—
97#1919C2212yes—
98#1919C2212yes—
99#1919C2212yes—
100#1918C2212yes—
101#1918C2212yes—
102#1918C2212yes—
103#1917C2212yes—
104#1917C2212yes—
105#1878C2212yes—
106#1878C2212yes—
107#1878C2211yescharacteristic
108#1878C2212yes—
109#1878C2211yescharacteristic
110#1865C2212yes—
111#1865C2212yes—
112#1865C2212yes—
113#1865C2212yes—
114#1865C2212yes—
115#1863C2212yes—
116#1863C2212yes—
117#1844C2211yescharacteristic
118#1839C2212yes—
119#1834C2211yescharacteristic
120#1831C2211yescharacteristic
121#1803C2211yescharacteristic
122#1803C2211yescharacteristic
123#1803C2211yescharacteristic
124#1803C2211yescharacteristic
125#1803C2211yescharacteristic
126#1776C2212yes—
127#1770C2211yescharacteristic
128#1770C2211yescharacteristic
129C4×C4⋊C8C2211yescharacteristic
130#1763C2212yes—
131#1763C2212yes—
132C4×#103C2211yescharacteristic
133C4×#103C2211yescharacteristic
134#1745C2212yes—
135C22×Q16C2311yescharacteristic
136C22×Q16C2311yescharacteristic
137Q82—24no—
138Q82—24no—
139C2×C4⋊Q8—21no—
140C2×C4⋊Q8—22no—
141C2×C4⋊Q8C2311yescharacteristic
142C2×C4⋊Q8C2312yes—
143C2×C4⋊Q8C2311yescharacteristic
144C2×#125—21no—
145C2×C4×Q8—21no—
146C2×C4×Q8—21no—
147C2×C4×Q8—22no—
148C2×C4×Q8—21no—
149C2×C4×Q8D411yescharacteristic
150C2×C4×Q8D411yescharacteristic
151C2×C4×Q8C2311yescharacteristic
152C2×C4×Q8C2311yescharacteristic
153C2×C4×Q8C2312yes—
154C2×C4×Q8C2311yescharacteristic
155C2×C4×Q8C2311yescharacteristic
156C2×C4×Q8C2312yes—
157C2×C4×Q8C2312yes—
158C2×C4×Q8C2311yescharacteristic
159C2×C4×Q8C2311yescharacteristic
160#477—24no—
161#477—24no—
162#462—24no—
163#441—28no—
164C4×Q16—24no—
165C4×Q16—24no—
166C2×#107C2312yes—
167C2×#107C2312yes—
168C2×#107C2311yescharacteristic
169C2×#107C2311yescharacteristic
170C2×#106C2312yes—
171C2×#106C2312yes—
172C2×#106C2312yes—
173C2×#106C2312yes—
174C2×C4⋊C8C2311yescharacteristic
175C2×C4⋊C8C2311yescharacteristic
176C2×C4⋊C8C2311yescharacteristic
177C2×C4⋊C8C2311yescharacteristic
178C2×#103C2312yes—
179C2×#103C2312yes—
180C2×#103C2312yes—
181C2×#103C2311yescharacteristic
182C2×#103C2311yescharacteristic
183C2×#103C2312yes—
184C2×#103C2312yes—
185C2×#103C2311yescharacteristic
186C2×#103C2311yescharacteristic
187C2×#103C2311yescharacteristic
188C2×#103C2311yescharacteristic
189C2×#103C2311yescharacteristic
190C2×#103C2311yescharacteristic
191C2×#103C2312yes—
192C2×#97C2312yes—
193C2×#97C2312yes—
194C2×C4×C8C2311yescharacteristic
195C2×C4×C8C2311yescharacteristic
196#400—22no—
197#398—22no—
198#398—22no—
199#398—22no—
200#398—22no—
201#398—22no—
202#391—21no—
203#391—21no—
204#391—22no—
205#391—21no—
206#391—22no—
207#391—22no—
208#391—22no—
209#391C2311yescharacteristic
210#391C2311yescharacteristic
211#391C2312yes—
212#391C2312yes—
213#391C2312yes—
214#389—21no—
215#389—22no—
216#389—21no—
217#389—22no—
218#389—21no—
219#389—21no—
220#389—21no—
221#389—22no—
222#389—21no—
223#389—21no—
224#389—21no—
225#389—21no—
226#389—22no—
227#389—22no—
228#389—22no—
229#389—22no—
230#389—22no—
231#389C2312yes—
232#389C2312yes—
233#389C2312yes—
234#389C2312yes—
235#389C2312yes—
236#389C2312yes—
237#389C2312yes—
238#389C2312yes—
239#387—22no—
240#387—22no—
241#387—22no—
242#387—22no—
243#387—22no—
244#387—22no—
245#387—22no—
246#387—22no—
247#387—22no—
248#384—21no—
249#384—22no—
250#384—21no—
251#384C2311yescharacteristic
252#384C2311yescharacteristic
253#384C2312yes—
254#384C2311yescharacteristic
255#384C2311yescharacteristic
256#383—22no—
257#382—21no—
258#382—21no—
259C4×C4⋊C4—21no—
260C4×C4⋊C4—21no—
261C4×C4⋊C4—22no—
262C4×C4⋊C4—21no—
263C4×C4⋊C4—21no—
264C4×C4⋊C4—22no—
265C4×C4⋊C4—22no—
266C4×C4⋊C4—21no—
267C4×C4⋊C4—22no—
268C4×C4⋊C4—21no—
269C4×C4⋊C4—21no—
270C4×C4⋊C4—21no—
271C4×C4⋊C4—22no—
272C4×C4⋊C4—22no—
273C4×C4⋊C4—21no—
274C4×C4⋊C4—22no—
275C4×C4⋊C4—21no—
276C4×C4⋊C4D412yes—
277C4×C4⋊C4D411yescharacteristic
278C4×C4⋊C4D411yescharacteristic
279C4×C4⋊C4D412yes—
280C4×C4⋊C4C2312yes—
281C4×C4⋊C4C2311yescharacteristic
282C4×C4⋊C4C2312yes—
283C4×C4⋊C4C2311yescharacteristic
284C4×C4⋊C4C2312yes—
285C4×C4⋊C4C2312yes—
286C4×C4⋊C4C2311yescharacteristic
287C4×C4⋊C4C2311yescharacteristic
288C4×C4⋊C4C2312yes—
289#376—22no—
290C43—22no—
291C43—21no—
292C43C2311yescharacteristic
293C43C2312yes—
294#340C2312yes—
295#340C2312yes—
296#340C2312yes—
297#340C2312yes—
298#340C2312yes—
299#340C2312yes—
300#340C2311yescharacteristic
301#340C2311yescharacteristic
302#340C2312yes—
303#340C2312yes—
304#340C2312yes—
305#340C2312yes—
306#340C2312yes—
307#340C2312yes—
308#340C2311yescharacteristic
309#340C2311yescharacteristic
310#336C2312yes—
311#336C2312yes—
312#336C2312yes—
313#336C2312yes—
314#336C2312yes—
315#336C2311yescharacteristic
316#336C2312yes—
317#336C2312yes—
318#336C2312yes—
319#336C2311yescharacteristic
320C22×Q8—22no—
321C22×Q8—21no—
322C22×Q8C2×D411yescharacteristic
323C22×Q8C2411yescharacteristic
324C22×Q8C2411yescharacteristic
325C22×Q8C2411yescharacteristic
326C2×Q16—22no—
327C2×Q16—22no—
328C2×Q16—22no—
329C2×Q16—22no—
330C2×Q16—22no—
331C2×Q16#4114yes—
332C22×C8C2411yescharacteristic
333C22×C8C2411yescharacteristic
334C22×C8C2412yes—
335C22×C8C2412yes—
336C22×C8C2411yescharacteristic
337C22×C8C2411yescharacteristic
338C4⋊Q8—216no—
339C4⋊Q8—28no—
340C4⋊Q8—24no—
341C4⋊Q8—24no—
342C4⋊Q8—22no—
343C4⋊Q8—22no—
344C4⋊Q8—41no—
345C4⋊Q8#4114yes—
346#125—44no—
347C4×Q8—28no—
348C4×Q8—24no—
349C4×Q8—24no—
350C4×Q8—22no—
351C4×Q8—24no—
352C4×Q8—22no—
353C4×Q8—24no—
354C4×Q8—22no—
355C4×Q8—22no—
356C4×Q8—22no—
357C4×Q8—24no—
358C4×Q8—24no—
359C4×Q8—22no—
360C4×Q8—22no—
361C4×Q8—22no—
362C4×Q8—22no—
363C4×Q8—22no—
364C4×Q8—42no—
365C4×Q8—42no—
366C4×Q8—41no—
367C4×Q8—44no—
368C4×Q8—82no—
369C4×Q8—84no—
370C4×Q8#4114yes—
371C2×C4⋊C4—22no—
372C2×C4⋊C4—21no—
373C2×C4⋊C4—22no—
374C2×C4⋊C4—21no—
375C2×C4⋊C4—21no—
376C2×C4⋊C4—22no—
377C2×C4⋊C4—21no—
378C2×C4⋊C4—22no—
379C2×C4⋊C4—21no—
380C2×C4⋊C4—22no—
381C2×C4⋊C4—21no—
382C2×C4⋊C4—21no—
383C2×C4⋊C4—21no—
384C2×C4⋊C4—21no—
385C2×C4⋊C4—22no—
386C2×C4⋊C4—22no—
387C2×C4⋊C4—21no—
388C2×C4⋊C4—21no—
389C2×C4⋊C4—22no—
390C2×C4⋊C4—22no—
391C2×C4⋊C4—22no—
392C2×C4⋊C4—22no—
393C2×C4⋊C4—21no—
394C2×C4⋊C4—21no—
395C2×C4⋊C4—21no—
396C2×C4⋊C4—22no—
397C2×C4⋊C4—22no—
398C2×C4⋊C4—21no—
399C2×C4⋊C4—21no—
400C2×C4⋊C4—22no—
401C2×C4⋊C4C2×D411yescharacteristic
402C2×C4⋊C4C2×D411yescharacteristic
403C2×C4⋊C4C2×D412yes—
404C2×C4⋊C4C2×D412yes—
405C2×C4⋊C4C2×D411yescharacteristic
406C2×C4⋊C4C2×D412yes—
407C2×C4⋊C4C2411yescharacteristic
408C2×C4⋊C4C2412yes—
409C2×C4⋊C4C2411yescharacteristic
410C2×C4⋊C4C2412yes—
411C2×C4⋊C4C2411yescharacteristic
412C2×C4⋊C4C2412yes—
413C2×C4⋊C4C2412yes—
414C2×C4⋊C4C2411yescharacteristic
415C2×C4⋊C4C2411yescharacteristic
416C2×C42—22no—
417C2×C42—21no—
418C2×C42—21no—
419C2×C42—21no—
420C2×C42—22no—
421C2×C42—22no—
422C2×C42—21no—
423C2×C42—22no—
424C2×C42—21no—
425C2×C42—22no—
426C2×C42—21no—
427C2×C42—21no—
428C2×C42—22no—
429C2×C42—21no—
430C2×C42—22no—
431C2×C42C2×D412yes—
432C2×C42C2×D412yes—
433C2×C42C2×D411yescharacteristic
434C2×C42C2×D412yes—
435C2×C42C2×D411yescharacteristic
436C2×C42C2×D412yes—
437C2×C42C2×D411yescharacteristic
438C2×C42C2×D411yescharacteristic
439C2×C42C2412yes—
440C2×C42C2412yes—
441C2×C42C2411yescharacteristic
442C2×C42C2411yescharacteristic
443C2×C42C2411yescharacteristic
444#107—22no—
445#107—22no—
446#107—24no—
447#107—24no—
448#106—24no—
449#106—24no—
450#106—42no—
451#106—42no—
452C4⋊C8—22no—
453C4⋊C8—22no—
454C4⋊C8—22no—
455C4⋊C8—41no—
456#103—22no—
457#103—22no—
458#103—24no—
459#103—24no—
460#103—22no—
461#103—24no—
462#103—22no—
463#103—22no—
464#103—22no—
465#103—24no—
466#103—24no—
467#103—22no—
468#103—22no—
469#103—42no—
470#97—24no—
471#97—42no—
472C4×C8—22no—
473C4×C8—22no—
474#95—21no—
475#95—22no—
476#95—22no—
477#95—22no—
478#95—21no—
479#95—22no—
480#95—22no—
481#95—22no—
482#95—22no—
483#95—21no—
484#95—22no—
485#95—21no—
486#95—22no—
487#95—21no—
488#95—21no—
489#95—22no—
490#95—22no—
491#95—21no—
492#95—22no—
493#95—22no—
494#95—22no—
495#95—22no—
496#95—22no—
497#95—22no—
498#95—22no—
499#95C2×D412yes—
500#95C2×D412yes—
501#95C2×D412yes—
502C2×Q8—28no—
503C2×Q8—22no—
504C2×Q8—24no—
505C2×Q8—22no—
506C2×Q8—21no—
507C2×Q8—21no—
508C2×Q8—21no—
509C2×Q8—21no—
510C2×Q8—21no—
511C2×Q8—21no—
512C2×Q8—21no—
513C2×Q8—21no—
514C2×Q8—21no—
515C2×Q8—21no—
516C2×Q8—21no—
517C2×Q8—21no—
518C2×Q8—21no—
519C2×Q8—21no—
520C2×Q8—81no—
521C2×Q8—82no—
522C2×Q8—81no—
523C2×Q8—82no—
524C2×Q8#13714yes—
525C2×Q8C2×#4112yes—
526C2×Q8C2×#4112yes—
527C2×Q8C2×#4112yes—
528C2×Q82−1+412yes—
529C22×C4—21no—
530C22×C4—21no—
531C22×C4—21no—
532C22×C4—22no—
533C22×C4—21no—
534C22×C4—21no—
535C22×C4—22no—
536C22×C4—21no—
537C22×C4—21no—
538C22×C4—22no—
539C22×C4—21no—
540C22×C4—22no—
541C22×C4C22×D411yescharacteristic
542C22×C4C22×D412yes—
543C22×C4C22×D412yes—
544C22×C4C22×D411yescharacteristic
545C22×C4C22×D412yes—
546C22×C4C22×D411yescharacteristic
547C22×C4C22×D412yes—
548C22×C4C22×D411yescharacteristic
549C22×C4C22×D411yescharacteristic
550C22×C4C22×D411yescharacteristic
551C22×C4C2511yescharacteristic
552Q16—28no—
553Q16—44no—
554C2×C8—21no—
555C2×C8—21no—
556C2×C8—21no—
557C2×C8—21no—
558C2×C8—21no—
559C2×C8—22no—
560C2×C8—22no—
561C2×C8—22no—
562C2×C8—21no—
563C2×C8—21no—
564C2×C8—21no—
565C2×C8—22no—
566C2×C8—22no—
567C2×C8—21no—
568C2×C8—21no—
569C2×C8—22no—
570C2×C8—21no—
571C2×C8C2×#4112yes—
572C4⋊C4—24no—
573C4⋊C4—28no—
574C4⋊C4—28no—
575C4⋊C4—24no—
576C4⋊C4—24no—
577C4⋊C4—24no—
578C4⋊C4—22no—
579C4⋊C4—24no—
580C4⋊C4—24no—
581C4⋊C4—22no—
582C4⋊C4—22no—
583C4⋊C4—22no—
584C4⋊C4—21no—
585C4⋊C4—21no—
586C4⋊C4—21no—
587C4⋊C4—22no—
588C4⋊C4—22no—
589C4⋊C4—21no—
590C4⋊C4—21no—
591C4⋊C4—21no—
592C4⋊C4—21no—
593C4⋊C4—22no—
594C4⋊C4—22no—
595C4⋊C4—22no—
596C4⋊C4—21no—
597C4⋊C4—22no—
598C4⋊C4—44no—
599C4⋊C4—42no—
600C4⋊C4—44no—
601C4⋊C4—42no—
602C4⋊C4—42no—
603C4⋊C4—42no—
604C4⋊C4—42no—
605C4⋊C4—44no—
606C4⋊C4—42no—
607C4⋊C4—44no—
608C4⋊C4—44no—
609C4⋊C4—42no—
610C4⋊C4—42no—
611C4⋊C4—81no—
612C4⋊C4—81no—
613C4⋊C4—81no—
614C4⋊C4—82no—
615C4⋊C4—82no—
616C4⋊C4—81no—
617C4⋊C4—82no—
618C4⋊C4—81no—
619C4⋊C4—82no—
620C4⋊C4—82no—
621C4⋊C4—82no—
622C4⋊C4—82no—
623C4⋊C4C2×#4114yes—
624C4⋊C4C2×#4112yes—
625C4⋊C42−1+412yes—
626C42—24no—
627C42—28no—
628C42—24no—
629C42—24no—
630C42—24no—
631C42—22no—
632C42—22no—
633C42—21no—
634C42—22no—
635C42—22no—
636C42—21no—
637C42—21no—
638C42—22no—
639C42—21no—
640C42—41no—
641C42—42no—
642C42—41no—
643C42—42no—
644C42—42no—
645C42—44no—
646C42—44no—
647C42—44no—
648C42—42no—
649C42—42no—
650C42—42no—
651C42—44no—
652C42—42no—
653C42—81no—
654C42—82no—
655C42—82no—
656C42#13714yes—
657C42C2×#4112yes—
658C42C2×#4112yes—
659C23C23×D411yescharacteristic
660Q8—28no—
661Q8—22no—
662Q8—22no—
663Q8—22no—
664Q8—22no—
665Q8—22no—
666Q8—41no—
667Q8—41no—
668Q8—41no—
669Q8—41no—
670Q8—41no—
671Q8—41no—
672Q8—84no—
673Q8—88no—
674Q8#55214yes—
675C2×C4—21no—
676C2×C4—21no—
677C2×C4—21no—
678C2×C4—21no—
679C2×C4—22no—
680C2×C4—22no—
681C2×C4—21no—
682C2×C4—22no—
683C2×C4—21no—
684C2×C4—22no—
685C2×C4—22no—
686C2×C4—21no—
687C2×C4—22no—
688C2×C4—22no—
689C2×C4—22no—
690C2×C4—21no—
691C2×C4—22no—
692C2×C4—22no—
693C2×C4—24no—
694C2×C4—22no—
695C2×C4—22no—
696C2×C4—22no—
697C2×C4—21no—
698C2×C4—22no—
699C2×C4—21no—
700C2×C4—22no—
701C2×C4—21no—
702C2×C4—22no—
703C2×C4—22no—
704C2×C4—21no—
705C2×C4—41no—
706C2×C4—42no—
707C2×C4—41no—
708C2×C4—42no—
709C2×C4—41no—
710C2×C4—41no—
711C2×C4—41no—
712C2×C4—41no—
713C2×C4—42no—
714C2×C4—41no—
715C2×C4—41no—
716C2×C4—42no—
717C2×C4—41no—
718C2×C4—41no—
719C2×C4—42no—
720C2×C4—41no—
721C2×C4—41no—
722C2×C4—41no—
723C2×C4—41no—
724C2×C4—42no—
725C2×C4—41no—
726C2×C4—42no—
727C2×C4—41no—
728C2×C4—42no—
729C2×C4—41no—
730C2×C4—42no—
731C2×C4—41no—
732C2×C4—42no—
733C2×C4—42no—
734C2×C4#52512yes—
735C2×C4#52512yes—
736C2×C4C2×#13712yes—
737C2×C4C2×#13714yes—
738C2×C4C2×#13712yes—
739C2×C4C2×#13712yes—
740C2×C4C2×#13712yes—
741C2×C4C22×#4111yescharacteristic
742C2×C4C22×#4111yescharacteristic
743C2×C4C22×#4111yescharacteristic
744C2×C4C2×2−1+411yescharacteristic
745C2×C4C2×2−1+411yescharacteristic
746C2×C4#58511yescharacteristic
747C8—22no—
748C8—41no—
749C8—42no—
750C8—41no—
751C8—41no—
752C8—42no—
753C22C2×#52511yescharacteristic
754C22D4×#4111yescharacteristic
755C22#348611yescharacteristic
756C22C22×#13711yescharacteristic
757C22C22×#13711yescharacteristic
758C22#358411yescharacteristic
759C22#358511yescharacteristic
760C4—22no—
761C4—24no—
762C4—22no—
763C4—24no—
764C4—22no—
765C4—42no—
766C4—42no—
767C4—41no—
768C4—42no—
769C4—41no—
770C4—42no—
771C4—42no—
772C4—44no—
773C4—42no—
774C4—82no—
775C4—81no—
776C4—82no—
777C4—82no—
778C4—81no—
779C4—81no—
780C4—81no—
781C4#311314yes—
782C4C2×#55211yescharacteristic
783C4#348211yescharacteristic
784C4#350711yescharacteristic
785C4#351611yescharacteristic
786C2#3623211yescharacteristic
787C2C2×#311311yescharacteristic
788C2#6060111yescharacteristic
789C2#6144011yescharacteristic
790C2#6146911yescharacteristic
791C2#6183011yescharacteristic
792C2#6184611yescharacteristic
subgroupG/H
center, socle, prime radicalC23C23×D4
commutator, Frattini, cosocleC22×C4C25
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ C42×Q8 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Maximal subgroups

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

subgroupindex
#362852
C4×Q822
#330852
#330672
#295202
#293912
#291772
#282062
#273132
#268792
#267112
#261872
#250602
#249942
#243332
#230692
#229712
#228322
#227632
#226742
C4×#4622
#211232