Finite Group Databasebeta

← #6683320

Subgroups — #6683320

Order 512.

2084 conjugacy classes of subgroups.

The subgroup lattice has 1512 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3322C211yesmaximal, characteristic, complemented
2C2×#3315C211yesmaximal, characteristic, complemented
3#42674C211yesmaximal, characteristic, complemented
4#35821C211yesmaximal, characteristic, complemented
5#32919C211yesmaximal, characteristic, complemented
6#30895C211yesmaximal, characteristic, complemented
7#30888C211yesmaximal, characteristic, complemented
8#30862C211yesmaximal, characteristic, complemented
9#30849C211yesmaximal, characteristic, complemented
10#30652C211yesmaximal, characteristic, complemented
11#30644C211yesmaximal, characteristic, complemented
12#30588C211yesmaximal, characteristic, complemented
13#30572C211yesmaximal, characteristic, complemented
14#30256C211yesmaximal, characteristic, complemented
15#29767C211yesmaximal, characteristic, complemented
16#26398C211yesmaximal, characteristic, complemented
17#26382C211yesmaximal, characteristic, complemented
18#25976C211yesmaximal, characteristic, complemented
19#25964C211yesmaximal, characteristic, complemented
20#25539C211yesmaximal, characteristic, complemented
21#25535C211yesmaximal, characteristic, complemented
22#25164C211yesmaximal, characteristic, complemented
23#25150C211yesmaximal, characteristic, complemented
24#24793C211yesmaximal, characteristic, complemented
25#24790C211yesmaximal, characteristic, complemented
26#24442C211yesmaximal, characteristic, complemented
27#24438C211yesmaximal, characteristic, complemented
28#24436C211yesmaximal, characteristic, complemented
29#24428C211yesmaximal, characteristic, complemented
30#22175C211yesmaximal, characteristic, complemented
31#20878C211yesmaximal, characteristic, complemented
32C2×#553C2211yescharacteristic
33C2×#552C2211yescharacteristic, complemented
34C2×#547C2211yescharacteristic
35C2×#546C2211yescharacteristic
36C2×#546C2211yescharacteristic
37C2×#520C2211yescharacteristic
38#3322—28no—
39#3315—28no—
40C2×#491C2211yescharacteristic, complemented
41C2×#488C2211yescharacteristic
42C2×#484C2211yescharacteristic, complemented
43C2×#485C2211yescharacteristic
44C2×#485C2211yescharacteristic, complemented
45C2×#480C2211yescharacteristic
46C2×#478C2211yescharacteristic
47C2×#478C2211yescharacteristic
48C2×#470C2211yescharacteristic
49C2×#470C2211yescharacteristic, complemented
50C2×#469C2211yescharacteristic
51C2×#468C2211yescharacteristic
52C2×#467C2211yescharacteristic, complemented
53C2×#466C2211yescharacteristic
54C2×#465C2211yescharacteristic
55C2×#465C2211yescharacteristic, complemented
56C2×#464C2211yescharacteristic, complemented
57C2×#462C2211yescharacteristic, complemented
58C2×#463C2211yescharacteristic
59C2×#463C2211yescharacteristic
60C2×#452C2211yescharacteristic
61C2×#452C2211yescharacteristic
62C2×#449C2211yescharacteristic
63C2×#449C2211yescharacteristic
64C2×#450C2211yescharacteristic
65C2×#447C2211yescharacteristic
66C2×#440C2211yescharacteristic
67C2×C4×D8C2211yescharacteristic
68C2×#436C2211yescharacteristic
69C2×#435C2211yescharacteristic, complemented
70C2×#428C2211yescharacteristic, complemented
71C2×#417C2211yescharacteristic
72C2×#418C2211yescharacteristic
73C2×#416C2211yescharacteristic
74C2×#416C2211yescharacteristic
75#2813—21no—
76#2727—21no—
77#2725—21no—
78#2707—21no—
79#2705—21no—
80#2630—21no—
81#2624—21no—
82#2620C2211yescharacteristic
83#2620C2211yescharacteristic, complemented
84#2618—21no—
85#2545C2211yescharacteristic
86#2538C2211yescharacteristic
87#2534—21no—
88#2485—21no—
89#2454C2211yescharacteristic, complemented
90#2453C2211yescharacteristic, complemented
91#2441C2211yescharacteristic
92#2441C2211yescharacteristic, complemented
93#2429C2211yescharacteristic
94#2427C2211yescharacteristic, complemented
95#2426C2211yescharacteristic
96#2426C2211yescharacteristic
97#2425—21no—
98#2424—21no—
99#2417C2211yescharacteristic
100#2416—21no—
101#2416C2211yescharacteristic
102#2415C2211yescharacteristic
103#2415C2211yescharacteristic
104#2414C2211yescharacteristic
105#2414C2211yescharacteristic, complemented
106#2413—21no—
107#2411—21no—
108#2392C2211yescharacteristic
109C2×#396—21no—
110D4×C4⋊C4C2211yescharacteristic
111#2339C2211yescharacteristic
112D4×C22⋊C4C2211yescharacteristic
113#2316C2211yescharacteristic, complemented
114#2096C2211yescharacteristic, complemented
115#2096C2211yescharacteristic, complemented
116#2094C2211yescharacteristic
117#2094C2211yescharacteristic, complemented
118#2083C2211yescharacteristic, complemented
119#2083C2211yescharacteristic, complemented
120#2068C2211yescharacteristic, complemented
121#2068C2211yescharacteristic, complemented
122#2068C2211yescharacteristic, complemented
123#2067C2211yescharacteristic
124#2067C2211yescharacteristic
125#2067C2211yescharacteristic
126#2066C2211yescharacteristic, complemented
127#2065C2211yescharacteristic, complemented
128#2059C2211yescharacteristic, complemented
129#2059C2211yescharacteristic, complemented
130#2043C2211yescharacteristic, complemented
131#2042C2211yescharacteristic
132#2042C2211yescharacteristic
133#2042C2211yescharacteristic
134#2036C2211yescharacteristic
135#2036C2211yescharacteristic, complemented
136#2035C2211yescharacteristic
137#2035C2211yescharacteristic
138#2035C2211yescharacteristic, complemented
139#2034C2211yescharacteristic
140#2033C2211yescharacteristic
141#2033C2211yescharacteristic, complemented
142#2026C2211yescharacteristic, complemented
143#2025C2211yescharacteristic
144#2015C2211yescharacteristic
145#2015C2211yescharacteristic
146#2015C2211yescharacteristic, complemented
147#2013C2211yescharacteristic, complemented
148#2012C2211yescharacteristic
149#2012C2211yescharacteristic
150#2001C2211yescharacteristic
151#2000C2211yescharacteristic
152#2000C2211yescharacteristic
153#2000C2211yescharacteristic, complemented
154#1972C2211yescharacteristic
155#1969C2211yescharacteristic, complemented
156#1943C2211yescharacteristic, complemented
157#1941C2211yescharacteristic, complemented
158#1924C2211yescharacteristic
159#1923C2211yescharacteristic, complemented
160#1917C2211yescharacteristic, complemented
161#1916C2211yescharacteristic, complemented
162#1880C2211yescharacteristic
163#1880C2211yescharacteristic, complemented
164#1879C2211yescharacteristic
165#1879C2211yescharacteristic
166#1878C2211yescharacteristic, complemented
167#1877C2211yescharacteristic
168#1877C2211yescharacteristic
169#1877C2211yescharacteristic, complemented
170#1875C2211yescharacteristic
171#1875C2211yescharacteristic
172#1874C2211yescharacteristic, complemented
173#1873C2211yescharacteristic
174#1873C2211yescharacteristic, complemented
175#1872C2211yescharacteristic, complemented
176#1870C2211yescharacteristic
177#1869C2211yescharacteristic
178#1869C2211yescharacteristic
179#1869C2211yescharacteristic, complemented
180#1865C2211yescharacteristic, complemented
181#1865C2211yescharacteristic, complemented
182#1864C2211yescharacteristic
183#1864C2211yescharacteristic
184#1864C2211yescharacteristic
185#1864C2211yescharacteristic
186#1863C2211yescharacteristic, complemented
187#1863C2211yescharacteristic, complemented
188#1863C2211yescharacteristic, complemented
189#1862C2211yescharacteristic
190#1862C2211yescharacteristic
191#1862C2211yescharacteristic, complemented
192#1854C2211yescharacteristic
193#1854C2211yescharacteristic, complemented
194#1851C2211yescharacteristic
195#1850C2211yescharacteristic, complemented
196#1809C2211yescharacteristic
197#1807C2211yescharacteristic, complemented
198#1803C2211yescharacteristic, complemented
199#1802C2211yescharacteristic
200#1798C2211yescharacteristic, complemented
201#1788C2211yescharacteristic
202#1786C2211yescharacteristic
203C2×#340C2211yescharacteristic, complemented
204#1729C2211yescharacteristic, complemented
205C22×#41C2311yescharacteristic
206C22×#41C2311yescharacteristic
207C23×D4C2311yescharacteristic
208C22×Q16C2311yescharacteristic
209C22×Q16C2311yescharacteristic
210C22×SD16C2311yescharacteristic
211C22×SD16C2311yescharacteristic
212C22×SD16C2311yescharacteristic
213C22×SD16C2311yescharacteristic
214C22×D8C2311yescharacteristic
215C22×D8C2311yescharacteristic
216C22×M16C2311yescharacteristic
217C22×M16C2311yescharacteristic
218C23×C8C2311yescharacteristic
219C23×C8C2311yescharacteristic
220#553—24no—
221#553—42no—
222#552—24no—
223#552—42no—
224#547—24no—
225#547—42no—
226#546—24no—
227#546—42no—
228#546—42no—
229#546—42no—
230C2×C4⋊Q8C2311yescharacteristic
231C2×#126—21no—
232C2×#126—21no—
233C2×#125—21no—
234C2×#125C2311yescharacteristic
235C2×#125C2311yescharacteristic
236C2×#124C2311yescharacteristic
237C2×#124C2311yescharacteristic
238C2×#124C2311yescharacteristic
239C2×#123—21no—
240C2×#123—21no—
241C2×#123—21no—
242C2×#123—21no—
243C2×#123—21no—
244C2×#123—21no—
245C2×C22⋊Q8C2311yescharacteristic
246C2×C22⋊Q8C2311yescharacteristic
247C2×C22⋊Q8C2311yescharacteristic
248C2×C22⋊Q8C2311yescharacteristic
249C2×C22⋊Q8C2311yescharacteristic
250C2×C22⋊Q8C2311yescharacteristic
251C2×C22⋊Q8C2311yescharacteristic
252C2×#121—21no—
253C2×#121—21no—
254C2×#121—21no—
255C2×#121—21no—
256C2×#121—21no—
257C2×#121C2311yescharacteristic
258C2×#121C2311yescharacteristic
259C2×#121C2311yescharacteristic
260C2×#121C2311yescharacteristic
261C2×#121C2311yescharacteristic
262C2×#120—21no—
263C2×#120—21no—
264#520—42no—
265#520—42no—
266C2×C4×Q8C2311yescharacteristic
267C2×C4×Q8C2311yescharacteristic
268C2×C4×Q8C2311yescharacteristic
269C2×C4×D4—21no—
270C2×C4×D4—21no—
271C2×C4×D4—21no—
272C2×C4×D4C2311yescharacteristic
273C2×C4×D4C2311yescharacteristic
274C2×C4×D4C2311yescharacteristic
275C2×C4×D4C2311yescharacteristic
276C2×C4×D4C2311yescharacteristic
277C2×C4×D4C2311yescharacteristic
278C2×C4×D4C2311yescharacteristic
279C2×C4×D4C2311yescharacteristic
280C2×#117—21no—
281C2×#117—21no—
282C2×#117C2311yescharacteristic
283C2×#117C2311yescharacteristic
284C2×#117C2311yescharacteristic
285C2×#117C2311yescharacteristic
286C22×C4⋊C4—21no—
287C22×C4⋊C4—21no—
288C22×C4⋊C4—21no—
289C22×C4⋊C4C2311yescharacteristic
290C22×C4⋊C4C2311yescharacteristic
291C22×C22⋊C4—21no—
292C22×C22⋊C4—21no—
293C22×C22⋊C4—21no—
294#491—24no—
295#488—24no—
296#485—24no—
297#485—24no—
298#484—24no—
299#480—24no—
300#478—24no—
301#478—24no—
302#470—24no—
303#470—42no—
304#469—24no—
305#468—24no—
306#467—24no—
307#466—42no—
308#465—42no—
309#465—42no—
310#464—42no—
311#463—24no—
312#463—42no—
313#462—24no—
314#452—24no—
315#452—24no—
316#450—42no—
317#449—24no—
318#449—42no—
319#447—24no—
320#440—24no—
321C4×D8—24no—
322#436—24no—
323#435—24no—
324#428—42no—
325C2×#107C2311yescharacteristic
326C2×#107C2311yescharacteristic
327C2×#107C2311yescharacteristic
328C2×#107C2311yescharacteristic
329C2×#107C2311yescharacteristic
330C2×#107C2311yescharacteristic
331C2×#106C2311yescharacteristic
332C2×#106C2311yescharacteristic
333C2×#106C2311yescharacteristic
334C2×#106C2311yescharacteristic
335C2×#106C2311yescharacteristic
336C2×#106C2311yescharacteristic
337C2×C4⋊C8C2311yescharacteristic
338C2×C4⋊C8C2311yescharacteristic
339C2×C4⋊C8C2311yescharacteristic
340C2×C4⋊C8C2311yescharacteristic
341#418—24no—
342#417D418yescomplemented
343#416—24no—
344#416—42no—
345C2×#103C2311yescharacteristic
346C2×#103C2311yescharacteristic
347C2×#103C2311yescharacteristic
348C2×#103C2311yescharacteristic
349C2×#103C2311yescharacteristic
350C2×#103C2311yescharacteristic
351C2×#103C2311yescharacteristic
352C2×#103C2311yescharacteristic
353C2×#103C2311yescharacteristic
354C2×#103C2311yescharacteristic
355C2×#103C2311yescharacteristic
356C2×#103C2311yescharacteristic
357C2×#103C2311yescharacteristic
358C2×#103C2311yescharacteristic
359C2×#103C2311yescharacteristic
360C2×#103C2311yescharacteristic
361C2×#102C2311yescharacteristic
362C2×#102C2311yescharacteristic
363C2×#102C2311yescharacteristic
364C2×#102C2311yescharacteristic
365C2×#102C2311yescharacteristic
366C2×#102C2311yescharacteristic
367C2×#102C2311yescharacteristic
368C2×#102C2311yescharacteristic
369C2×#102C2311yescharacteristic
370C2×#102C2311yescharacteristic
371C2×#102C2311yescharacteristic
372C2×#102C2311yescharacteristic
373C2×#102C2311yescharacteristic
374C2×#102C2311yescharacteristic
375C2×#102C2311yescharacteristic
376C2×#102C2311yescharacteristic
377C2×C22⋊C8C2311yescharacteristic
378C2×C22⋊C8C2311yescharacteristic
379C2×C22⋊C8C2311yescharacteristic
380C2×C22⋊C8C2311yescharacteristic
381C2×C22⋊C8C2311yescharacteristic
382C2×C22⋊C8C2311yescharacteristic
383C2×C22⋊C8C2311yescharacteristic
384C2×C22⋊C8C2311yescharacteristic
385C2×#97C2311yescharacteristic
386C2×C4×C8C2311yescharacteristic
387#400—21no—
388#399—21no—
389#399—21no—
390#399—21no—
391#398—21no—
392#398—21no—
393#398—21no—
394#398D411yescharacteristic
395#397—21no—
396#397—21no—
397#397—21no—
398#397D411yescharacteristic
399#396—21no—
400#396—21no—
401#396—21no—
402#396—21no—
403#396—21no—
404#396—21no—
405#396—21no—
406#396—21no—
407#396—21no—
408#396—21no—
409#396—21no—
410#396—21no—
411#396—21no—
412#396—21no—
413#396—21no—
414#396—21no—
415#396D411yescharacteristic
416#396D411yescharacteristic
417#394—21no—
418#394—21no—
419#394—21no—
420#394—21no—
421#394—21no—
422#394—21no—
423#394—21no—
424#394—21no—
425#394—21no—
426#394—21no—
427#394—21no—
428#394—21no—
429#394D411yescharacteristic
430#394D411yescharacteristic
431#394D411yescharacteristic
432#392—21no—
433#392—21no—
434#392D411yescharacteristic
435#391C2311yescharacteristic
436#391C2311yescharacteristic
437#391C2311yescharacteristic
438#391C2311yescharacteristic
439#390—21no—
440#390—21no—
441#390—21no—
442#390—21no—
443#390—21no—
444#390C2311yescharacteristic
445#390C2311yescharacteristic
446#390C2311yescharacteristic
447#390C2311yescharacteristic
448#389—21no—
449#389—21no—
450#389—21no—
451#389—21no—
452#389—21no—
453#389—21no—
454#389—21no—
455#389—21no—
456#389—21no—
457#389C2311yescharacteristic
458#389C2311yescharacteristic
459#389C2311yescharacteristic
460#389C2311yescharacteristic
461#389C2311yescharacteristic
462#389C2311yescharacteristic
463#389C2311yescharacteristic
464#389C2311yescharacteristic
465#388—21no—
466#388—21no—
467#388—21no—
468#388—21no—
469#388—21no—
470#388—21no—
471#388—21no—
472#388—21no—
473#388—21no—
474#387—21no—
475#387—21no—
476#387—21no—
477#386—21no—
478#386—21no—
479#386—21no—
480#386—21no—
481#386—21no—
482#386—21no—
483#386—21no—
484#385—21no—
485#385—21no—
486#385—21no—
487#384C2311yescharacteristic
488#384C2311yescharacteristic
489#381—21no—
490#380—21no—
491#380—21no—
492#380—21no—
493#380—21no—
494#380—21no—
495#380—21no—
496#380C2311yescharacteristic
497#380C2311yescharacteristic
498#380C2311yescharacteristic
499#380C2311yescharacteristic
500#379—21no—
501C4×C4⋊C4C2311yescharacteristic
502C4×C22⋊C4C2311yescharacteristic
503C4×C22⋊C4C2311yescharacteristic
504C2×#95—21no—
505#340C2311yescharacteristic
506#340C2311yescharacteristic
507#340C2311yescharacteristic
508#340C2311yescharacteristic
509#340C2311yescharacteristic
510#340C2311yescharacteristic
511#340C2311yescharacteristic
512#340C2311yescharacteristic
513#340C2311yescharacteristic
514#340C2311yescharacteristic
515#340C2311yescharacteristic
516#340C2311yescharacteristic
517#336C2311yescharacteristic
518#336C2311yescharacteristic
519#336C2311yescharacteristic
520#336C2311yescharacteristic
521#336C2311yescharacteristic
522#336C2311yescharacteristic
523#336C2311yescharacteristic
524#336C2311yescharacteristic
525#336C2311yescharacteristic
526#336C2311yescharacteristic
527C25—21no—
528C2×#41—22no—
529C2×#41—22no—
530C2×#41—22no—
531C2×#41—22no—
532C2×#41—22no—
533C2×#41—22no—
534C2×#41—41no—
535C2×#41—41no—
536C2×#41—41no—
537C2×#41—41no—
538C2×#41—41no—
539C2×#41C2×D414yes—
540C22×Q8C2411yescharacteristic
541C22×Q8C2411yescharacteristic
542C22×Q8C2411yescharacteristic
543C22×D4—21no—
544C22×D4—22no—
545C22×D4—22no—
546C22×D4—22no—
547C22×D4—21no—
548C22×D4—21no—
549C22×D4—21no—
550C22×D4—21no—
551C22×D4—21no—
552C22×D4—21no—
553C22×D4—21no—
554C22×D4—41no—
555C22×D4—41no—
556C22×D4—41no—
557C22×D4C2×D411yescharacteristic
558C22×D4C2×D411yescharacteristic
559C22×D4C2×D411yescharacteristic
560C22×D4C2411yescharacteristic
561C22×D4C2411yescharacteristic
562C22×D4C2411yescharacteristic
563C23×C4—21no—
564C23×C4—21no—
565C23×C4—21no—
566C23×C4—21no—
567C23×C4—21no—
568C23×C4—21no—
569C23×C4—21no—
570C23×C4—21no—
571C23×C4—21no—
572C23×C4C2411yescharacteristic
573C23×C4C2411yescharacteristic
574C23×C4C2411yescharacteristic
575C2×Q16—22no—
576C2×Q16—22no—
577C2×Q16—41no—
578C2×Q16—41no—
579C2×Q16—41no—
580C2×Q16—41no—
581C2×SD16—22no—
582C2×SD16—22no—
583C2×SD16—22no—
584C2×SD16—22no—
585C2×SD16—41no—
586C2×SD16—41no—
587C2×SD16—41no—
588C2×SD16—41no—
589C2×SD16—41no—
590C2×SD16—41no—
591C2×SD16—41no—
592C2×SD16—41no—
593C2×D8—22no—
594C2×D8—22no—
595C2×D8—22no—
596C2×D8—22no—
597C2×D8—41no—
598C2×D8—41no—
599C2×M16—22no—
600C2×M16—41no—
601C2×M16—41no—
602C2×M16—41no—
603C2×M16—41no—
604C2×M16C2×D414yes—
605C22×C8—22no—
606C22×C8—22no—
607C22×C8—41no—
608C22×C8—41no—
609C22×C8—41no—
610C22×C8—41no—
611C22×C8C2411yescharacteristic
612C22×C8C2411yescharacteristic
613C22×C8C2411yescharacteristic
614C22×C8C2411yescharacteristic
615C22×C8C2411yescharacteristic
616C22×C8C2411yescharacteristic
617C22×C8C2411yescharacteristic
618C22×C8C2411yescharacteristic
619C4⋊Q8—22no—
620C4⋊Q8—41no—
621#126—44no—
622#126—44no—
623#125—22no—
624#125—22no—
625#125—41no—
626#125—41no—
627#125—44no—
628#124—22no—
629#124—41no—
630#124—41no—
631#124—41no—
632#124—41no—
633#124—41no—
634#123—44no—
635#123—44no—
636#123—44no—
637#123—44no—
638#123—44no—
639#123—44no—
640C22⋊Q8—22no—
641C22⋊Q8—22no—
642C22⋊Q8—22no—
643C22⋊Q8—22no—
644C22⋊Q8—22no—
645C22⋊Q8—22no—
646C22⋊Q8—22no—
647C22⋊Q8—22no—
648C22⋊Q8—41no—
649C22⋊Q8—41no—
650C22⋊Q8—41no—
651C22⋊Q8—41no—
652C22⋊Q8—41no—
653C22⋊Q8—41no—
654#121—22no—
655#121—22no—
656#121—22no—
657#121—22no—
658#121—22no—
659#121—22no—
660#121—44no—
661#121—41no—
662#121—41no—
663#121—44no—
664#121—44no—
665#121—44no—
666#121—41no—
667#121—41no—
668#121—82no—
669#120—44no—
670#120—44no—
671C4×Q8—22no—
672C4×Q8—22no—
673C4×Q8—41no—
674C4×Q8—41no—
675C4×Q8—41no—
676C4×Q8—41no—
677C4×D4—22no—
678C4×D4—22no—
679C4×D4—22no—
680C4×D4—22no—
681C4×D4—22no—
682C4×D4—22no—
683C4×D4—22no—
684C4×D4—22no—
685C4×D4—22no—
686C4×D4—22no—
687C4×D4—41no—
688C4×D4—41no—
689C4×D4—41no—
690C4×D4—41no—
691C4×D4—41no—
692C4×D4—41no—
693C4×D4—44no—
694C4×D4—44no—
695C4×D4—44no—
696#117—22no—
697#117—22no—
698#117—41no—
699#117—41no—
700#117—44no—
701#117—44no—
702#117—41no—
703#117—41no—
704#117—41no—
705#117—41no—
706C2×C4⋊C4—21no—
707C2×C4⋊C4—22no—
708C2×C4⋊C4—22no—
709C2×C4⋊C4—21no—
710C2×C4⋊C4—21no—
711C2×C4⋊C4—21no—
712C2×C4⋊C4—21no—
713C2×C4⋊C4—21no—
714C2×C4⋊C4—21no—
715C2×C4⋊C4—21no—
716C2×C4⋊C4—21no—
717C2×C4⋊C4—21no—
718C2×C4⋊C4—21no—
719C2×C4⋊C4—21no—
720C2×C4⋊C4—21no—
721C2×C4⋊C4—21no—
722C2×C4⋊C4—21no—
723C2×C4⋊C4—21no—
724C2×C4⋊C4—21no—
725C2×C4⋊C4—21no—
726C2×C4⋊C4—21no—
727C2×C4⋊C4—21no—
728C2×C4⋊C4—21no—
729C2×C4⋊C4—21no—
730C2×C4⋊C4—21no—
731C2×C4⋊C4—21no—
732C2×C4⋊C4—21no—
733C2×C4⋊C4—21no—
734C2×C4⋊C4—21no—
735C2×C4⋊C4—21no—
736C2×C4⋊C4—21no—
737C2×C4⋊C4—21no—
738C2×C4⋊C4—41no—
739C2×C4⋊C4—44no—
740C2×C4⋊C4—44no—
741C2×C4⋊C4—82no—
742C2×C4⋊C4C2×D411yescharacteristic
743C2×C4⋊C4C2×D411yescharacteristic
744C2×C4⋊C4C2×D414yes—
745C2×C4⋊C4C2×D411yescharacteristic
746C2×C4⋊C4C2×D411yescharacteristic
747C2×C4⋊C4C2×D411yescharacteristic
748C2×C4⋊C4C2×D411yescharacteristic
749C2×C4⋊C4C2×D411yescharacteristic
750C2×C4⋊C4C2411yescharacteristic
751C2×C4⋊C4C2411yescharacteristic
752C2×C4⋊C4C2411yescharacteristic
753C2×C4⋊C4C2411yescharacteristic
754C2×C4⋊C4C2411yescharacteristic
755C2×C4⋊C4C2411yescharacteristic
756C2×C4⋊C4C2411yescharacteristic
757C2×C4⋊C4C2411yescharacteristic
758C2×C4⋊C4C2411yescharacteristic
759C2×C4⋊C4C2411yescharacteristic
760C2×C22⋊C4—21no—
761C2×C22⋊C4—21no—
762C2×C22⋊C4—21no—
763C2×C22⋊C4—21no—
764C2×C22⋊C4—21no—
765C2×C22⋊C4—21no—
766C2×C22⋊C4—21no—
767C2×C22⋊C4—21no—
768C2×C22⋊C4—21no—
769C2×C22⋊C4—21no—
770C2×C22⋊C4—21no—
771C2×C22⋊C4—21no—
772C2×C22⋊C4—21no—
773C2×C22⋊C4—21no—
774C2×C22⋊C4—21no—
775C2×C22⋊C4—21no—
776C2×C22⋊C4—21no—
777C2×C22⋊C4—21no—
778C2×C22⋊C4—21no—
779C2×C22⋊C4—21no—
780C2×C22⋊C4—21no—
781C2×C22⋊C4—21no—
782C2×C22⋊C4—21no—
783C2×C22⋊C4—21no—
784C2×C22⋊C4—21no—
785C2×C22⋊C4—21no—
786C2×C22⋊C4—21no—
787C2×C22⋊C4—21no—
788C2×C22⋊C4—21no—
789C2×C22⋊C4—21no—
790C2×C22⋊C4—21no—
791C2×C22⋊C4—21no—
792C2×C22⋊C4—21no—
793C2×C22⋊C4—21no—
794C2×C22⋊C4—21no—
795C2×C22⋊C4—21no—
796C2×C22⋊C4—21no—
797C2×C22⋊C4—21no—
798C2×C22⋊C4—44no—
799C2×C22⋊C4—44no—
800C2×C22⋊C4—82no—
801C2×C22⋊C4C2×D411yescharacteristic
802C2×C22⋊C4C2×D411yescharacteristic
803C2×C22⋊C4C2×D411yescharacteristic
804C2×C22⋊C4C2×D411yescharacteristic
805C2×C22⋊C4C2×D411yescharacteristic
806C2×C22⋊C4C2×D411yescharacteristic
807C2×C22⋊C4C2×D411yescharacteristic
808C2×C22⋊C4C2×D411yescharacteristic
809C2×C22⋊C4C2×D411yescharacteristic
810C2×C22⋊C4C2×D411yescharacteristic
811C2×C22⋊C4C2×D411yescharacteristic
812C2×C22⋊C4C2×D411yescharacteristic
813C2×C42—21no—
814C2×C42—21no—
815C2×C42—21no—
816C2×C42—21no—
817C2×C42—21no—
818C2×C42—21no—
819C2×C42C2411yescharacteristic
820C2×C42C2411yescharacteristic
821C2×C42C2411yescharacteristic
822C2×C42C2411yescharacteristic
823#107—22no—
824#107—22no—
825#107—22no—
826#107—22no—
827#107—22no—
828#107—41no—
829#106—22no—
830#106—22no—
831#106—22no—
832#106—41no—
833#106—41no—
834#106—41no—
835C4⋊C8—22no—
836C4⋊C8—22no—
837C4⋊C8—41no—
838C4⋊C8—41no—
839#103—22no—
840#103—22no—
841#103—22no—
842#103—22no—
843#103—22no—
844#103—22no—
845#103—22no—
846#103—41no—
847#103—41no—
848#103—41no—
849#103—41no—
850#103—41no—
851#103—41no—
852#103—41no—
853#103C2×D414yes—
854#103C2×D414yes—
855#102—22no—
856#102—22no—
857#102—22no—
858#102—22no—
859#102—22no—
860#102—22no—
861#102—22no—
862#102—22no—
863#102—22no—
864#102—41no—
865#102—41no—
866#102—41no—
867#102—41no—
868#102—41no—
869#102C2×D414yes—
870#102C2×D414yes—
871C22⋊C8—22no—
872C22⋊C8—22no—
873C22⋊C8—22no—
874C22⋊C8—22no—
875C22⋊C8—41no—
876C22⋊C8—41no—
877C22⋊C8—41no—
878C22⋊C8—41no—
879#97—22no—
880C4×C8—22no—
881#95—21no—
882#95—21no—
883#95—21no—
884#95—21no—
885#95—21no—
886#95—21no—
887#95—21no—
888#95—21no—
889#95—21no—
890#95—21no—
891#95—21no—
892#95—21no—
893#95—21no—
894#95—21no—
895#95—21no—
896#95—21no—
897#95—21no—
898#95—21no—
899#95—21no—
900#95—21no—
901#95C2×D411yescharacteristic
902#95C2×D411yescharacteristic
903#95C2×D411yescharacteristic
904#95C2×D411yescharacteristic
905#95C2×D411yescharacteristic
906#95C2×D411yescharacteristic
907C24—21no—
908C24—21no—
909C24—21no—
910C24—42no—
911C24—42no—
912C24—42no—
913C24—42no—
914C24—81no—
915C24—81no—
916C24—81no—
917C24C22×D411yescharacteristic
918C24C22×D411yescharacteristic
919C24C22×D411yescharacteristic
920#41—28no—
921#41—44no—
922#41—44no—
923#41—44no—
924#41—44no—
925#41—82no—
926#41—82no—
927#41—82no—
928C2×Q8—21no—
929C2×Q8—21no—
930C2×Q8—21no—
931C2×Q8—21no—
932C2×Q8—21no—
933C2×Q8—21no—
934C2×Q8—21no—
935C2×Q8—21no—
936C2×Q8—21no—
937C2×Q8—21no—
938C2×Q8—21no—
939C2×Q8—21no—
940C2×Q8—21no—
941C2×Q8—21no—
942C2×Q8—21no—
943C2×Q8—21no—
944C2×Q8—21no—
945C2×Q8C22×D412yes—
946C2×D4—24no—
947C2×D4—22no—
948C2×D4—22no—
949C2×D4—21no—
950C2×D4—21no—
951C2×D4—21no—
952C2×D4—21no—
953C2×D4—21no—
954C2×D4—21no—
955C2×D4—21no—
956C2×D4—21no—
957C2×D4—21no—
958C2×D4—21no—
959C2×D4—21no—
960C2×D4—21no—
961C2×D4—21no—
962C2×D4—21no—
963C2×D4—21no—
964C2×D4—41no—
965C2×D4—41no—
966C2×D4—41no—
967C2×D4—41no—
968C2×D4—41no—
969C2×D4—41no—
970C2×D4—41no—
971C2×D4—42no—
972C2×D4—42no—
973C2×D4—42no—
974C2×D4—42no—
975C2×D4—42no—
976C2×D4—42no—
977C2×D4—42no—
978C2×D4—44no—
979C2×D4—42no—
980C2×D4—42no—
981C2×D4—42no—
982C2×D4—42no—
983C2×D4—42no—
984C2×D4—82no—
985C2×D4—82no—
986C2×D4—82no—
987C2×D4—81no—
988C2×D4—81no—
989C2×D4—81no—
990C2×D4—81no—
991C2×D4—81no—
992C2×D4—81no—
993C2×D4—81no—
994C2×D4—81no—
995C2×D4—81no—
996C2×D4—81no—
997C2×D4—81no—
998C2×D4C22×D412yes—
999C2×D4H(5,𝔽2)12yes—
1000C2×D42−1+412yes—
1001C22×C4—21no—
1002C22×C4—21no—
1003C22×C4—21no—
1004C22×C4—21no—
1005C22×C4—21no—
1006C22×C4—21no—
1007C22×C4—21no—
1008C22×C4—21no—
1009C22×C4—24no—
1010C22×C4—24no—
1011C22×C4—24no—
1012C22×C4—21no—
1013C22×C4—21no—
1014C22×C4—21no—
1015C22×C4—21no—
1016C22×C4—21no—
1017C22×C4—21no—
1018C22×C4—21no—
1019C22×C4—21no—
1020C22×C4—21no—
1021C22×C4—21no—
1022C22×C4—21no—
1023C22×C4—21no—
1024C22×C4—21no—
1025C22×C4—21no—
1026C22×C4—21no—
1027C22×C4—21no—
1028C22×C4—21no—
1029C22×C4—21no—
1030C22×C4—21no—
1031C22×C4—21no—
1032C22×C4—21no—
1033C22×C4—42no—
1034C22×C4—42no—
1035C22×C4—42no—
1036C22×C4—42no—
1037C22×C4—42no—
1038C22×C4—42no—
1039C22×C4—42no—
1040C22×C4—42no—
1041C22×C4—42no—
1042C22×C4—42no—
1043C22×C4—42no—
1044C22×C4—81no—
1045C22×C4—81no—
1046C22×C4—81no—
1047C22×C4—81no—
1048C22×C4—81no—
1049C22×C4—81no—
1050C22×C4—81no—
1051C22×C4—81no—
1052C22×C4—81no—
1053C22×C4—81no—
1054C22×C4—81no—
1055C22×C4—81no—
1056C22×C4—81no—
1057C22×C4C22×D411yescharacteristic
1058C22×C4C22×D411yescharacteristic
1059C22×C4C22×D411yescharacteristic
1060C22×C4C22×D411yescharacteristic
1061C22×C4C22×D411yescharacteristic
1062C22×C4C22×D411yescharacteristic
1063C22×C4C22×D411yescharacteristic
1064C22×C4C22×D411yescharacteristic
1065C22×C4C22×D411yescharacteristic
1066C22×C4C22×D411yescharacteristic
1067C22×C4C22×D411yescharacteristic
1068C22×C4C22×D412yes—
1069C22×C4H(5,𝔽2)12yes—
1070C22×C4C2511yescharacteristic
1071Q16—82no—
1072Q16—82no—
1073SD16—44no—
1074SD16—82no—
1075SD16—82no—
1076SD16—82no—
1077D8—44no—
1078D8—82no—
1079M16—44no—
1080M16—82no—
1081C2×C8—21no—
1082C2×C8—21no—
1083C2×C8—21no—
1084C2×C8—21no—
1085C2×C8—21no—
1086C2×C8—21no—
1087C2×C8—21no—
1088C2×C8—21no—
1089C2×C8—21no—
1090C2×C8—21no—
1091C2×C8—21no—
1092C2×C8—21no—
1093C2×C8—21no—
1094C2×C8—21no—
1095C2×C8—21no—
1096C2×C8—21no—
1097C2×C8—21no—
1098C2×C8—21no—
1099C2×C8—21no—
1100C2×C8—21no—
1101C2×C8—21no—
1102C2×C8—21no—
1103C2×C8—82no—
1104C2×C8—82no—
1105C2×C8C22×D412yes—
1106C2×C8C22×D412yes—
1107C4⋊C4—24no—
1108C4⋊C4—22no—
1109C4⋊C4—22no—
1110C4⋊C4—21no—
1111C4⋊C4—21no—
1112C4⋊C4—21no—
1113C4⋊C4—21no—
1114C4⋊C4—21no—
1115C4⋊C4—21no—
1116C4⋊C4—21no—
1117C4⋊C4—21no—
1118C4⋊C4—21no—
1119C4⋊C4—21no—
1120C4⋊C4—21no—
1121C4⋊C4—21no—
1122C4⋊C4—21no—
1123C4⋊C4—21no—
1124C4⋊C4—21no—
1125C4⋊C4—21no—
1126C4⋊C4—21no—
1127C4⋊C4—41no—
1128C4⋊C4—41no—
1129C4⋊C4—41no—
1130C4⋊C4—41no—
1131C4⋊C4—41no—
1132C4⋊C4—42no—
1133C4⋊C4—42no—
1134C4⋊C4—42no—
1135C4⋊C4—42no—
1136C4⋊C4—42no—
1137C4⋊C4—42no—
1138C4⋊C4—42no—
1139C4⋊C4—42no—
1140C4⋊C4—42no—
1141C4⋊C4—42no—
1142C4⋊C4—42no—
1143C4⋊C4—42no—
1144C4⋊C4—42no—
1145C4⋊C4—42no—
1146C4⋊C4—42no—
1147C4⋊C4—42no—
1148C4⋊C4—42no—
1149C4⋊C4—81no—
1150C4⋊C4—81no—
1151C4⋊C4—81no—
1152C4⋊C4—81no—
1153C4⋊C4—81no—
1154C4⋊C4—81no—
1155C4⋊C4—81no—
1156C4⋊C4—81no—
1157C4⋊C4—81no—
1158C4⋊C4—81no—
1159C4⋊C4—81no—
1160C4⋊C4—81no—
1161C4⋊C4C22×D412yes—
1162C4⋊C4C22×D412yes—
1163C4⋊C4H(5,𝔽2)12yes—
1164C22⋊C4—24no—
1165C22⋊C4—22no—
1166C22⋊C4—22no—
1167C22⋊C4—22no—
1168C22⋊C4—22no—
1169C22⋊C4—41no—
1170C22⋊C4—41no—
1171C22⋊C4—41no—
1172C22⋊C4—41no—
1173C22⋊C4—41no—
1174C22⋊C4—41no—
1175C22⋊C4—41no—
1176C22⋊C4—41no—
1177C22⋊C4—42no—
1178C22⋊C4—42no—
1179C22⋊C4—42no—
1180C22⋊C4—42no—
1181C22⋊C4—42no—
1182C22⋊C4—42no—
1183C22⋊C4—42no—
1184C22⋊C4—42no—
1185C22⋊C4—42no—
1186C22⋊C4—42no—
1187C22⋊C4—42no—
1188C22⋊C4—42no—
1189C22⋊C4—42no—
1190C22⋊C4—42no—
1191C22⋊C4—42no—
1192C22⋊C4—42no—
1193C22⋊C4—42no—
1194C22⋊C4—42no—
1195C22⋊C4—42no—
1196C22⋊C4—42no—
1197C22⋊C4—42no—
1198C22⋊C4—81no—
1199C22⋊C4—81no—
1200C22⋊C4—81no—
1201C22⋊C4—81no—
1202C22⋊C4—81no—
1203C22⋊C4—81no—
1204C22⋊C4—81no—
1205C22⋊C4—81no—
1206C22⋊C4—81no—
1207C22⋊C4—81no—
1208C22⋊C4—81no—
1209C22⋊C4—81no—
1210C22⋊C4—81no—
1211C22⋊C4—81no—
1212C22⋊C4—81no—
1213C22⋊C4—81no—
1214C42—21no—
1215C42—21no—
1216C42—21no—
1217C42—21no—
1218C42—21no—
1219C42—21no—
1220C42—21no—
1221C42—21no—
1222C42—42no—
1223C42—42no—
1224C42—42no—
1225C42—42no—
1226C42—42no—
1227C42—81no—
1228C23—21no—
1229C23—21no—
1230C23—21no—
1231C23—21no—
1232C23—22no—
1233C23—22no—
1234C23—21no—
1235C23—21no—
1236C23—22no—
1237C23—21no—
1238C23—21no—
1239C23—21no—
1240C23—21no—
1241C23—21no—
1242C23—21no—
1243C23—21no—
1244C23—21no—
1245C23—21no—
1246C23—21no—
1247C23—21no—
1248C23—21no—
1249C23—21no—
1250C23—21no—
1251C23—41no—
1252C23—41no—
1253C23—41no—
1254C23—41no—
1255C23—41no—
1256C23—41no—
1257C23—41no—
1258C23—41no—
1259C23—41no—
1260C23—41no—
1261C23—41no—
1262C23—41no—
1263C23—41no—
1264C23—41no—
1265C23—41no—
1266C23—41no—
1267C23—41no—
1268C23—41no—
1269C23—84no—
1270C23—84no—
1271C23—84no—
1272C23—84no—
1273C23—162no—
1274C23—162no—
1275C23—162no—
1276C23D4212yes—
1277C23C23×D411yescharacteristic
1278Q8—22no—
1279Q8—22no—
1280Q8—41no—
1281Q8—41no—
1282Q8—41no—
1283Q8—41no—
1284Q8—41no—
1285Q8—41no—
1286Q8—41no—
1287Q8—41no—
1288Q8—41no—
1289Q8—41no—
1290D4—22no—
1291D4—22no—
1292D4—22no—
1293D4—48no—
1294D4—41no—
1295D4—41no—
1296D4—41no—
1297D4—41no—
1298D4—41no—
1299D4—41no—
1300D4—41no—
1301D4—41no—
1302D4—82no—
1303D4—82no—
1304D4—84no—
1305D4—82no—
1306D4—84no—
1307D4—84no—
1308D4—162no—
1309D4—162no—
1310D4—162no—
1311D4—162no—
1312D4#53714yes—
1313C2×C4—21no—
1314C2×C4—21no—
1315C2×C4—22no—
1316C2×C4—22no—
1317C2×C4—22no—
1318C2×C4—22no—
1319C2×C4—21no—
1320C2×C4—21no—
1321C2×C4—21no—
1322C2×C4—21no—
1323C2×C4—21no—
1324C2×C4—21no—
1325C2×C4—21no—
1326C2×C4—21no—
1327C2×C4—21no—
1328C2×C4—21no—
1329C2×C4—21no—
1330C2×C4—21no—
1331C2×C4—21no—
1332C2×C4—21no—
1333C2×C4—21no—
1334C2×C4—21no—
1335C2×C4—21no—
1336C2×C4—21no—
1337C2×C4—21no—
1338C2×C4—21no—
1339C2×C4—21no—
1340C2×C4—21no—
1341C2×C4—22no—
1342C2×C4—22no—
1343C2×C4—22no—
1344C2×C4—21no—
1345C2×C4—21no—
1346C2×C4—21no—
1347C2×C4—21no—
1348C2×C4—22no—
1349C2×C4—21no—
1350C2×C4—21no—
1351C2×C4—21no—
1352C2×C4—21no—
1353C2×C4—48no—
1354C2×C4—41no—
1355C2×C4—41no—
1356C2×C4—41no—
1357C2×C4—41no—
1358C2×C4—41no—
1359C2×C4—41no—
1360C2×C4—41no—
1361C2×C4—41no—
1362C2×C4—41no—
1363C2×C4—41no—
1364C2×C4—41no—
1365C2×C4—41no—
1366C2×C4—41no—
1367C2×C4—41no—
1368C2×C4—41no—
1369C2×C4—41no—
1370C2×C4—41no—
1371C2×C4—41no—
1372C2×C4—41no—
1373C2×C4—41no—
1374C2×C4—41no—
1375C2×C4—41no—
1376C2×C4—41no—
1377C2×C4—41no—
1378C2×C4—41no—
1379C2×C4—41no—
1380C2×C4—41no—
1381C2×C4—41no—
1382C2×C4—41no—
1383C2×C4—41no—
1384C2×C4—41no—
1385C2×C4—41no—
1386C2×C4—41no—
1387C2×C4—41no—
1388C2×C4—41no—
1389C2×C4—41no—
1390C2×C4—41no—
1391C2×C4—41no—
1392C2×C4—41no—
1393C2×C4—41no—
1394C2×C4—41no—
1395C2×C4—41no—
1396C2×C4—41no—
1397C2×C4—84no—
1398C2×C4—84no—
1399C2×C4—84no—
1400C2×C4—84no—
1401C2×C4—162no—
1402C2×C4—162no—
1403C2×C4—162no—
1404C2×C4—162no—
1405C2×C4D4212yes—
1406C2×C4C23×D411yescharacteristic
1407C2×C4C2×H(5,𝔽2)11yescharacteristic
1408C2×C4C2×H(5,𝔽2)11yescharacteristic
1409C2×C4C2×H(5,𝔽2)11yescharacteristic
1410C2×C4C2×2−1+411yescharacteristic
1411C2×C4#58511yescharacteristic
1412C8—22no—
1413C8—22no—
1414C8—41no—
1415C8—41no—
1416C8—41no—
1417C8—41no—
1418C8—41no—
1419C8—41no—
1420C22—22no—
1421C22—24no—
1422C22—22no—
1423C22—22no—
1424C22—41no—
1425C22—42no—
1426C22—41no—
1427C22—42no—
1428C22—42no—
1429C22—42no—
1430C22—41no—
1431C22—42no—
1432C22—42no—
1433C22—41no—
1434C22—41no—
1435C22—41no—
1436C22—41no—
1437C22—41no—
1438C22—41no—
1439C22—41no—
1440C22—41no—
1441C22—41no—
1442C22—41no—
1443C22—41no—
1444C22—41no—
1445C22—41no—
1446C22—41no—
1447C22—41no—
1448C22—81no—
1449C22—81no—
1450C22—81no—
1451C22—81no—
1452C22—81no—
1453C22—81no—
1454C22—81no—
1455C22—81no—
1456C22—81no—
1457C22—81no—
1458C22—81no—
1459C22—81no—
1460C22—81no—
1461C22—81no—
1462C22—168no—
1463C22C2×D4211yescharacteristic
1464C22#348411yescharacteristic
1465C22#348911yescharacteristic
1466C22#358411yescharacteristic
1467C22#358411yescharacteristic
1468C22#358511yescharacteristic
1469C22#358611yescharacteristic
1470C4—22no—
1471C4—41no—
1472C4—41no—
1473C4—42no—
1474C4—41no—
1475C4—41no—
1476C4—42no—
1477C4—42no—
1478C4—41no—
1479C4—41no—
1480C4—41no—
1481C4—41no—
1482C4—41no—
1483C4—41no—
1484C4—42no—
1485C4—81no—
1486C4—81no—
1487C4—81no—
1488C4—81no—
1489C4—81no—
1490C4—81no—
1491C4—81no—
1492C4—81no—
1493C4—81no—
1494C4C2×#53711yescharacteristic
1495C4#349611yescharacteristic
1496C4#353411yescharacteristic
1497C4#353611yescharacteristic
1498C2—42no—
1499C2—44no—
1500C2—81no—
1501C2—81no—
1502C2—161no—
1503C2—161no—
1504C2#3767311yescharacteristic
1505C2#6107411yescharacteristic
1506C2#6107811yescharacteristic
1507C2#6162611yescharacteristic
1508C2#6167811yescharacteristic
1509C2#6220811yescharacteristic
1510C2#6222411yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ #2392 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C2×#3322C2semidirect
2. C2×#3315C2semidirect
3. #42674C2semidirect
4. #35821C2semidirect
5. #32919C2semidirect
6. #30895C2semidirect
7. #30888C2semidirect
8. #30862C2semidirect
9. #30849C2semidirect
10. #30652C2semidirect
11. #30644C2semidirect
12. #30588C2semidirect
13. #30572C2semidirect
14. #30256C2semidirect
15. #29767C2semidirect
16. #26398C2semidirect
17. #26382C2semidirect
18. #25976C2semidirect
19. #25964C2semidirect
20. #25539C2semidirect
21. #25535C2semidirect
22. #25164C2semidirect
23. #25150C2semidirect
24. #24793C2semidirect
25. #24790C2semidirect
26. #24442C2semidirect
27. #24438C2semidirect
28. #24436C2semidirect
29. #24428C2semidirect
30. #22175C2semidirect
31. #20878C2semidirect
33. C2×#552C22semidirect
40. C2×#491C22semidirect
42. C2×#484C22semidirect
44. C2×#485C22semidirect
49. C2×#470C22semidirect
52. C2×#467C22semidirect
55. C2×#465C22semidirect
56. C2×#464C22semidirect
57. C2×#462C22semidirect
69. C2×#435C22semidirect
70. C2×#428C22semidirect
83. #2620C22semidirect
89. #2454C22semidirect
90. #2453C22semidirect
92. #2441C22semidirect
94. #2427C22semidirect
105. #2414C22semidirect
113. #2316C22semidirect
114. #2096C22semidirect
115. #2096C22semidirect
117. #2094C22semidirect
118. #2083C22semidirect
119. #2083C22semidirect
120. #2068C22semidirect
121. #2068C22semidirect
122. #2068C22semidirect
126. #2066C22semidirect
127. #2065C22semidirect
128. #2059C22semidirect
129. #2059C22semidirect
130. #2043C22semidirect
135. #2036C22semidirect
138. #2035C22semidirect
141. #2033C22semidirect
142. #2026C22semidirect
146. #2015C22semidirect
147. #2013C22semidirect
153. #2000C22semidirect
155. #1969C22semidirect
156. #1943C22semidirect
157. #1941C22semidirect
159. #1923C22semidirect
160. #1917C22semidirect
161. #1916C22semidirect
163. #1880C22semidirect
166. #1878C22semidirect
169. #1877C22semidirect
172. #1874C22semidirect
174. #1873C22semidirect
175. #1872C22semidirect
179. #1869C22semidirect
180. #1865C22semidirect
181. #1865C22semidirect
186. #1863C22semidirect
187. #1863C22semidirect
188. #1863C22semidirect
191. #1862C22semidirect
193. #1854C22semidirect
195. #1850C22semidirect
197. #1807C22semidirect
198. #1803C22semidirect
200. #1798C22semidirect
203. C2×#340C22semidirect
204. #1729C22semidirect
342. #417D4semidirect

Maximal subgroups

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

subgroupindex
C2×#33222
C2×#33152
#426742
#358212
#329192
#308952
#308882
#308622
#308492
#306522
#306442
#305882
#305722
#302562
#297672
#263982
#263822
#259762
#259642
#255392
#255352
#251642
#251502
#247932
#247902
#244422
#244382
#244362
#244282
#221752
#208782