Finite Group Databasebeta

← #6448346

Subgroups — #6448346

Order 512.

1493 conjugacy classes of subgroups.

The subgroup lattice has 798 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#34951C211yesmaximal, characteristic
2C4×#557C211yesmaximal, characteristic
3#27580C212yesmaximal
4#27156C212yesmaximal
5#26718C212yesmaximal
6#26510C211yesmaximal, characteristic
7#26319C211yesmaximal, characteristic
8#26183C212yesmaximal
9#26112C211yesmaximal, characteristic
10#25931C211yesmaximal, characteristic
11#25276C211yesmaximal, characteristic
12#24997C211yesmaximal, characteristic
13#24732C211yesmaximal, characteristic
14#24332C211yesmaximal, characteristic
15#23825C212yesmaximal
16#23785C212yesmaximal
17#21647C211yesmaximal, characteristic
18#21615C211yesmaximal, characteristic
19#21506C212yesmaximal
20#21506C211yesmaximal, characteristic
21#21345C211yesmaximal, characteristic
22#21123C212yesmaximal
23C4×#441C211yesmaximal, characteristic
24C2×#557C2211yescharacteristic
25C2×#487C2211yescharacteristic
26C2×#475C2211yescharacteristic
27C2×#462C2212yes—
28C2×#462C2211yescharacteristic
29C2×#441C2211yescharacteristic
30C2×#441C2212yes—
31C2×#441C2211yescharacteristic
32C2×C4×Q16C2211yescharacteristic
33#2585—22no—
34#2582C2211yescharacteristic
35#2568C2211yescharacteristic
36#2552C2211yescharacteristic
37#2546C2211yescharacteristic
38#2511C2212yes—
39#2509—21no—
40#2453—21no—
41#2446C2212yes—
42#2402—22no—
43#2370—22no—
44#2370C2212yes—
45#2365—21no—
46#2365C2211yescharacteristic
47#2355—21no—
48#2355C2211yescharacteristic
49#2351C2212yes—
50Q8×C4⋊C4C2211yescharacteristic
51C4×C4⋊Q8—21no—
52C4×C4⋊Q8C2211yescharacteristic
53C4×C4⋊Q8C2212yes—
54C4×C4⋊Q8C2211yescharacteristic
55C4×#125—22no—
56C4×#125—21no—
57C4×#125C2212yes—
58#2295—21no—
59#2295C2212yes—
60C42×Q8—21no—
61C42×Q8C2211yescharacteristic
62C42×Q8C2212yes—
63C42×Q8C2211yescharacteristic
64C42×Q8C2211yescharacteristic
65#2101C2212yes—
66#2100C2212yes—
67#2100C2212yes—
68#2097C2212yes—
69#2088C2212yes—
70#2087C2212yes—
71#2074C2212yes—
72#2074C2212yes—
73#2068C2212yes—
74#2066C2212yes—
75#2059C2212yes—
76#2043C2212yes—
77#2043C2212yes—
78#2026C2212yes—
79#2026C2212yes—
80#2026C2212yes—
81#1990C2211yescharacteristic
82#1988C2211yescharacteristic
83#1984C2211yescharacteristic
84#1984C2211yescharacteristic
85#1981C2212yes—
86#1981C2211yescharacteristic
87#1956C2211yescharacteristic
88#1948C2212yes—
89#1948C2211yescharacteristic
90#1947C2211yescharacteristic
91#1939C2211yescharacteristic
92#1939C2211yescharacteristic
93#1935C2212yes—
94#1935C2212yes—
95#1928C2212yes—
96#1927C2212yes—
97#1927C2212yes—
98#1927C2212yes—
99#1927C2212yes—
100#1920C2212yes—
101#1920C2212yes—
102#1919C2212yes—
103#1917C2212yes—
104#1917C2212yes—
105#1878C2212yes—
106#1878C2212yes—
107#1878C2212yes—
108#1878C2212yes—
109#1878C2212yes—
110#1865C2212yes—
111#1863C2212yes—
112#1863C2212yes—
113#1834C2211yescharacteristic
114#1803C2211yescharacteristic
115#1803C2212yes—
116#1803C2211yescharacteristic
117#1776C2211yescharacteristic
118#1776C2211yescharacteristic
119#1776C2212yes—
120C4×#106C2211yescharacteristic
121#1767C2211yescharacteristic
122#1767C2212yes—
123#1763C2212yes—
124#1763C2212yes—
125#1763C2212yes—
126#1763C2211yescharacteristic
127#1763C2212yes—
128#1763C2211yescharacteristic
129#1763C2211yescharacteristic
130#1763C2211yescharacteristic
131C4×#103C2211yescharacteristic
132C4×#103C2211yescharacteristic
133#1745C2212yes—
134C4×#97C2211yescharacteristic
135C22×Q16C2312yes—
136C22×Q16C2311yescharacteristic
137#557—24no—
138#557—24no—
139C2×C4⋊Q8—21no—
140C2×C4⋊Q8C2311yescharacteristic
141C2×C4⋊Q8C2312yes—
142C2×C4⋊Q8C2311yescharacteristic
143C2×#125—22no—
144C2×#125—21no—
145C2×#125C2312yes—
146C2×C4×Q8—21no—
147C2×C4×Q8—21no—
148C2×C4×Q8—21no—
149C2×C4×Q8D411yescharacteristic
150C2×C4×Q8D411yescharacteristic
151C2×C4×Q8C2311yescharacteristic
152C2×C4×Q8C2311yescharacteristic
153C2×C4×Q8C2312yes—
154C2×C4×Q8C2312yes—
155C2×C4×Q8C2312yes—
156C2×C4×Q8C2311yescharacteristic
157C2×C4×Q8C2311yescharacteristic
158C2×C4×Q8C2311yescharacteristic
159C2×C4×Q8C2311yescharacteristic
160C2×C4×Q8C2311yescharacteristic
161#487—24no—
162#475—24no—
163#462—28no—
164#462—24no—
165#441—24no—
166#441—24no—
167#441—28no—
168C4×Q16—24no—
169C2×#107C2311yescharacteristic
170C2×#107C2312yes—
171C2×#106C2312yes—
172C2×#106C2311yescharacteristic
173C2×#106C2312yes—
174C2×#106C2311yescharacteristic
175C2×C4⋊C8C2311yescharacteristic
176C2×C4⋊C8C2311yescharacteristic
177C2×C4⋊C8C2312yes—
178C2×C4⋊C8C2312yes—
179C2×#103C2312yes—
180C2×#103C2312yes—
181C2×#103C2311yescharacteristic
182C2×#103C2312yes—
183C2×#103C2312yes—
184C2×#103C2312yes—
185C2×#103C2312yes—
186C2×#103C2311yescharacteristic
187C2×#103C2312yes—
188C2×#103C2311yescharacteristic
189C2×#103C2311yescharacteristic
190C2×#103C2311yescharacteristic
191C2×#103C2312yes—
192C2×#103C2311yescharacteristic
193C2×#103C2312yes—
194C2×#103C2312yes—
195C2×#97C2311yescharacteristic
196C2×#97C2311yescharacteristic
197C2×#97C2312yes—
198C2×#97C2311yescharacteristic
199C2×#97C2311yescharacteristic
200C2×C4×C8C2311yescharacteristic
201C2×C4×C8C2311yescharacteristic
202#400—22no—
203#400—22no—
204#400—22no—
205#400—22no—
206#398—22no—
207#398—22no—
208#398—22no—
209#398—22no—
210#391—21no—
211#391—21no—
212#391—21no—
213#391—21no—
214#391—21no—
215#391C2312yes—
216#391C2312yes—
217#391C2312yes—
218#391C2312yes—
219#391C2312yes—
220#389—21no—
221#389—22no—
222#389—21no—
223#389—22no—
224#389—22no—
225#389—21no—
226#389—21no—
227#389—21no—
228#389—22no—
229#389—22no—
230#389—21no—
231#389—21no—
232#389—22no—
233#389C2312yes—
234#389C2312yes—
235#389C2312yes—
236#389C2312yes—
237#389C2312yes—
238#387—22no—
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#387—22no—
249#387—22no—
250#384—21no—
251#384C2311yescharacteristic
252#384C2311yescharacteristic
253#384C2312yes—
254#382—21no—
255#382—22no—
256#382C2312yes—
257C4×C4⋊C4—21no—
258C4×C4⋊C4—21no—
259C4×C4⋊C4—21no—
260C4×C4⋊C4—21no—
261C4×C4⋊C4—22no—
262C4×C4⋊C4—22no—
263C4×C4⋊C4—22no—
264C4×C4⋊C4—22no—
265C4×C4⋊C4—21no—
266C4×C4⋊C4—22no—
267C4×C4⋊C4—21no—
268C4×C4⋊C4—22no—
269C4×C4⋊C4—21no—
270C4×C4⋊C4—21no—
271C4×C4⋊C4—22no—
272C4×C4⋊C4—22no—
273C4×C4⋊C4—21no—
274C4×C4⋊C4—21no—
275C4×C4⋊C4—21no—
276C4×C4⋊C4—22no—
277C4×C4⋊C4—22no—
278C4×C4⋊C4D412yes—
279C4×C4⋊C4D411yescharacteristic
280C4×C4⋊C4D412yes—
281C4×C4⋊C4D411yescharacteristic
282C4×C4⋊C4C2311yescharacteristic
283C4×C4⋊C4C2312yes—
284C4×C4⋊C4C2311yescharacteristic
285C4×C4⋊C4C2311yescharacteristic
286C4×C4⋊C4C2312yes—
287C4×C4⋊C4C2312yes—
288C4×C4⋊C4C2311yescharacteristic
289C4×C4⋊C4C2311yescharacteristic
290C4×C4⋊C4C2311yescharacteristic
291C4×C4⋊C4C2311yescharacteristic
292C4×C4⋊C4C2312yes—
293#376—22no—
294C43—22no—
295C43—21no—
296C43—21no—
297C43C2312yes—
298C43C2311yescharacteristic
299#340C2312yes—
300#340C2312yes—
301#340C2312yes—
302#340C2312yes—
303#340C2312yes—
304#340C2311yescharacteristic
305#340C2311yescharacteristic
306#340C2312yes—
307#340C2312yes—
308#340C2311yescharacteristic
309#340C2312yes—
310#340C2311yescharacteristic
311#340C2312yes—
312#340C2312yes—
313#340C2311yescharacteristic
314#340C2311yescharacteristic
315#336C2312yes—
316#336C2312yes—
317#336C2312yes—
318#336C2312yes—
319#336C2312yes—
320#336C2312yes—
321#336C2312yes—
322C22×Q8—21no—
323C22×Q8C2×D411yescharacteristic
324C22×Q8C2412yes—
325C22×Q8C2411yescharacteristic
326C22×Q8C2411yescharacteristic
327C2×Q16—22no—
328C2×Q16—22no—
329C2×Q16—24no—
330C2×Q16—24no—
331C2×Q16—24no—
332C2×Q16#4114yes—
333C22×C8C2412yes—
334C22×C8C2411yescharacteristic
335C22×C8C2411yescharacteristic
336C22×C8C2412yes—
337C22×C8C2411yescharacteristic
338C22×C8C2411yescharacteristic
339C4⋊Q8—28no—
340C4⋊Q8—24no—
341C4⋊Q8—22no—
342C4⋊Q8—22no—
343C4⋊Q8—22no—
344C4⋊Q8—42no—
345C4⋊Q8#4114yes—
346#125—216no—
347#125—24no—
348#125—24no—
349#125—44no—
350C4×Q8—28no—
351C4×Q8—24no—
352C4×Q8—24no—
353C4×Q8—24no—
354C4×Q8—22no—
355C4×Q8—22no—
356C4×Q8—22no—
357C4×Q8—22no—
358C4×Q8—22no—
359C4×Q8—22no—
360C4×Q8—24no—
361C4×Q8—22no—
362C4×Q8—22no—
363C4×Q8—24no—
364C4×Q8—22no—
365C4×Q8—22no—
366C4×Q8—24no—
367C4×Q8—42no—
368C4×Q8—41no—
369C4×Q8—41no—
370C4×Q8—42no—
371C4×Q8—44no—
372C4×Q8—44no—
373C4×Q8#4114yes—
374C4×Q8#4114yes—
375C2×C4⋊C4—22no—
376C2×C4⋊C4—21no—
377C2×C4⋊C4—22no—
378C2×C4⋊C4—21no—
379C2×C4⋊C4—21no—
380C2×C4⋊C4—22no—
381C2×C4⋊C4—21no—
382C2×C4⋊C4—22no—
383C2×C4⋊C4—22no—
384C2×C4⋊C4—21no—
385C2×C4⋊C4—22no—
386C2×C4⋊C4—21no—
387C2×C4⋊C4—21no—
388C2×C4⋊C4—21no—
389C2×C4⋊C4—22no—
390C2×C4⋊C4—22no—
391C2×C4⋊C4—21no—
392C2×C4⋊C4—22no—
393C2×C4⋊C4—21no—
394C2×C4⋊C4—22no—
395C2×C4⋊C4—22no—
396C2×C4⋊C4—21no—
397C2×C4⋊C4—22no—
398C2×C4⋊C4—21no—
399C2×C4⋊C4—22no—
400C2×C4⋊C4—21no—
401C2×C4⋊C4—22no—
402C2×C4⋊C4C2×D411yescharacteristic
403C2×C4⋊C4C2×D411yescharacteristic
404C2×C4⋊C4C2×D412yes—
405C2×C4⋊C4C2×D412yes—
406C2×C4⋊C4C2×D412yes—
407C2×C4⋊C4C2×D411yescharacteristic
408C2×C4⋊C4C2411yescharacteristic
409C2×C4⋊C4C2412yes—
410C2×C4⋊C4C2411yescharacteristic
411C2×C4⋊C4C2412yes—
412C2×C4⋊C4C2411yescharacteristic
413C2×C4⋊C4C2411yescharacteristic
414C2×C4⋊C4C2411yescharacteristic
415C2×C4⋊C4C2412yes—
416C2×C4⋊C4C2411yescharacteristic
417C2×C42—22no—
418C2×C42—21no—
419C2×C42—21no—
420C2×C42—22no—
421C2×C42—22no—
422C2×C42—21no—
423C2×C42—21no—
424C2×C42—21no—
425C2×C42—22no—
426C2×C42—21no—
427C2×C42—21no—
428C2×C42—22no—
429C2×C42—21no—
430C2×C42—21no—
431C2×C42—21no—
432C2×C42—22no—
433C2×C42—21no—
434C2×C42—21no—
435C2×C42C2×D411yescharacteristic
436C2×C42C2×D411yescharacteristic
437C2×C42C2×D412yes—
438C2×C42C2×D412yes—
439C2×C42C2×D412yes—
440C2×C42C2×D412yes—
441C2×C42C2×D411yescharacteristic
442C2×C42C2×D411yescharacteristic
443C2×C42C2412yes—
444C2×C42C2411yescharacteristic
445C2×C42C2412yes—
446C2×C42C2411yescharacteristic
447C2×C42C2411yescharacteristic
448#107—22no—
449#107—42no—
450#106—22no—
451#106—22no—
452#106—24no—
453#106—24no—
454C4⋊C8—24no—
455C4⋊C8—22no—
456C4⋊C8—22no—
457C4⋊C8—42no—
458#103—22no—
459#103—22no—
460#103—24no—
461#103—22no—
462#103—22no—
463#103—24no—
464#103—24no—
465#103—22no—
466#103—22no—
467#103—24no—
468#103—24no—
469#103—24no—
470#103—24no—
471#103—24no—
472#103—42no—
473#103—42no—
474#97—22no—
475#97—22no—
476#97—24no—
477#97—22no—
478#97—41no—
479C4×C8—22no—
480C4×C8—22no—
481#95—22no—
482#95—22no—
483#95—22no—
484#95—22no—
485#95—22no—
486#95—22no—
487#95—21no—
488#95—21no—
489#95—21no—
490#95—21no—
491#95—22no—
492#95—22no—
493#95—22no—
494#95—21no—
495#95—21no—
496#95—22no—
497#95—22no—
498#95—22no—
499#95—22no—
500#95—22no—
501#95—22no—
502#95—22no—
503#95—22no—
504#95—22no—
505#95—22no—
506#95—22no—
507#95C2×D412yes—
508#95C2×D412yes—
509#95C2×D412yes—
510C2×Q8—22no—
511C2×Q8—24no—
512C2×Q8—22no—
513C2×Q8—22no—
514C2×Q8—21no—
515C2×Q8—21no—
516C2×Q8—21no—
517C2×Q8—21no—
518C2×Q8—21no—
519C2×Q8—21no—
520C2×Q8—21no—
521C2×Q8—22no—
522C2×Q8—22no—
523C2×Q8—22no—
524C2×Q8—22no—
525C2×Q8—21no—
526C2×Q8—22no—
527C2×Q8—22no—
528C2×Q8—42no—
529C2×Q8—42no—
530C2×Q8C2×#4112yes—
531C2×Q8C2×#4112yes—
532C2×Q8C2×#4112yes—
533C2×Q8C2×#4112yes—
534C22×C4—21no—
535C22×C4—21no—
536C22×C4—21no—
537C22×C4—21no—
538C22×C4—22no—
539C22×C4—21no—
540C22×C4—21no—
541C22×C4—21no—
542C22×C4—22no—
543C22×C4—21no—
544C22×C4—22no—
545C22×C4—22no—
546C22×C4C22×D412yes—
547C22×C4C22×D411yescharacteristic
548C22×C4C22×D412yes—
549C22×C4C22×D411yescharacteristic
550C22×C4C22×D412yes—
551C22×C4C22×D411yescharacteristic
552C22×C4C22×D411yescharacteristic
553C22×C4C22×D411yescharacteristic
554C22×C4C22×D412yes—
555C22×C4C22×D411yescharacteristic
556C22×C4C2511yescharacteristic
557Q16—28no—
558Q16—48no—
559C2×C8—21no—
560C2×C8—21no—
561C2×C8—21no—
562C2×C8—21no—
563C2×C8—21no—
564C2×C8—22no—
565C2×C8—21no—
566C2×C8—21no—
567C2×C8—22no—
568C2×C8—22no—
569C2×C8—22no—
570C2×C8—22no—
571C2×C8—21no—
572C2×C8—21no—
573C2×C8—21no—
574C2×C8—21no—
575C2×C8—22no—
576C2×C8C2×#4112yes—
577C4⋊C4—28no—
578C4⋊C4—28no—
579C4⋊C4—28no—
580C4⋊C4—24no—
581C4⋊C4—24no—
582C4⋊C4—22no—
583C4⋊C4—24no—
584C4⋊C4—24no—
585C4⋊C4—24no—
586C4⋊C4—22no—
587C4⋊C4—21no—
588C4⋊C4—22no—
589C4⋊C4—21no—
590C4⋊C4—22no—
591C4⋊C4—21no—
592C4⋊C4—22no—
593C4⋊C4—21no—
594C4⋊C4—21no—
595C4⋊C4—21no—
596C4⋊C4—21no—
597C4⋊C4—21no—
598C4⋊C4—22no—
599C4⋊C4—21no—
600C4⋊C4—22no—
601C4⋊C4—21no—
602C4⋊C4—42no—
603C4⋊C4—42no—
604C4⋊C4—44no—
605C4⋊C4—42no—
606C4⋊C4—44no—
607C4⋊C4—44no—
608C4⋊C4—44no—
609C4⋊C4—44no—
610C4⋊C4—44no—
611C4⋊C4—42no—
612C4⋊C4—42no—
613C4⋊C4—42no—
614C4⋊C4—42no—
615C4⋊C4—44no—
616C4⋊C4—44no—
617C4⋊C4—42no—
618C4⋊C4—42no—
619C4⋊C4—81no—
620C4⋊C4—82no—
621C4⋊C4—81no—
622C4⋊C4—82no—
623C4⋊C4—82no—
624C4⋊C4#13714yes—
625C4⋊C4C2×#4112yes—
626C4⋊C4C2×#4114yes—
627C4⋊C4C2×#4112yes—
628C42—28no—
629C42—24no—
630C42—24no—
631C42—22no—
632C42—24no—
633C42—22no—
634C42—21no—
635C42—22no—
636C42—22no—
637C42—22no—
638C42—21no—
639C42—22no—
640C42—41no—
641C42—41no—
642C42—42no—
643C42—42no—
644C42—42no—
645C42—44no—
646C42—42no—
647C42—42no—
648C42—42no—
649C42—42no—
650C42—44no—
651C42—42no—
652C42—42no—
653C42—44no—
654C42—44no—
655C42—42no—
656C42—42no—
657C42—81no—
658C42—82no—
659C42—81no—
660C42C2×#4112yes—
661C42C2×#4112yes—
662C42C2×#4112yes—
663C422−1+412yes—
664C23C23×D411yescharacteristic
665Q8—22no—
666Q8—22no—
667Q8—22no—
668Q8—22no—
669Q8—22no—
670Q8—44no—
671Q8—48no—
672Q8—41no—
673Q8—41no—
674Q8—42no—
675Q8—42no—
676Q8—42no—
677Q8—42no—
678Q8#52914yes—
679C2×C4—21no—
680C2×C4—21no—
681C2×C4—22no—
682C2×C4—21no—
683C2×C4—21no—
684C2×C4—22no—
685C2×C4—22no—
686C2×C4—22no—
687C2×C4—22no—
688C2×C4—21no—
689C2×C4—21no—
690C2×C4—21no—
691C2×C4—21no—
692C2×C4—22no—
693C2×C4—22no—
694C2×C4—22no—
695C2×C4—22no—
696C2×C4—22no—
697C2×C4—22no—
698C2×C4—24no—
699C2×C4—22no—
700C2×C4—21no—
701C2×C4—21no—
702C2×C4—22no—
703C2×C4—22no—
704C2×C4—21no—
705C2×C4—22no—
706C2×C4—21no—
707C2×C4—22no—
708C2×C4—22no—
709C2×C4—41no—
710C2×C4—41no—
711C2×C4—41no—
712C2×C4—41no—
713C2×C4—41no—
714C2×C4—41no—
715C2×C4—42no—
716C2×C4—42no—
717C2×C4—41no—
718C2×C4—41no—
719C2×C4—41no—
720C2×C4—42no—
721C2×C4—41no—
722C2×C4—41no—
723C2×C4—42no—
724C2×C4—41no—
725C2×C4—42no—
726C2×C4—41no—
727C2×C4—42no—
728C2×C4—42no—
729C2×C4—41no—
730C2×C4—42no—
731C2×C4—41no—
732C2×C4—42no—
733C2×C4—41no—
734C2×C4—42no—
735C2×C4—41no—
736C2×C4—41no—
737C2×C4—42no—
738C2×C4#52512yes—
739C2×C4#52512yes—
740C2×C4#54812yes—
741C2×C4#54812yes—
742C2×C4C2×#13714yes—
743C2×C4C2×#13712yes—
744C2×C4#57512yes—
745C2×C4C22×#4111yescharacteristic
746C2×C4C22×#4111yescharacteristic
747C2×C4C22×#4111yescharacteristic
748C2×C4C22×#4111yescharacteristic
749C2×C4C2×2−1+411yescharacteristic
750C2×C4#58511yescharacteristic
751C8—22no—
752C8—42no—
753C8—41no—
754C8—41no—
755C8—42no—
756C8—41no—
757C22C2×#52511yescharacteristic
758C22C2×#54811yescharacteristic
759C22D4×#4111yescharacteristic
760C22C22×#13711yescharacteristic
761C22C2×#57511yescharacteristic
762C22#358611yescharacteristic
763C22#358611yescharacteristic
764C4—24no—
765C4—22no—
766C4—22no—
767C4—24no—
768C4—22no—
769C4—41no—
770C4—41no—
771C4—42no—
772C4—42no—
773C4—44no—
774C4—42no—
775C4—42no—
776C4—42no—
777C4—42no—
778C4—81no—
779C4—81no—
780C4—82no—
781C4—81no—
782C4—82no—
783C4—82no—
784C4—81no—
785C4#311614yes—
786C4C2×#52911yescharacteristic
787C4#346111yescharacteristic
788C4#348011yescharacteristic
789C4#348211yescharacteristic
790C2#3470811yescharacteristic
791C2C2×#311611yescharacteristic
792C2#6057711yescharacteristic
793C2#6132011yescharacteristic
794C2#6132211yescharacteristic
795C2#6145711yescharacteristic
796C2#6146711yescharacteristic
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
#349512
C4×#5572
#275802
#271562
#267182
#265102
#263192
#261832
#261122
#259312
#252762
#249972
#247322
#243322
#238252
#237852
#216472
#216152
#215062
#213452
#211232
C4×#4412