Finite Group Databasebeta

← #7368857

Subgroups — #7368857

Order 512.

1755 conjugacy classes of subgroups.

The subgroup lattice has 1506 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#45599C211yesmaximal, characteristic, complemented
2#39886C211yesmaximal, characteristic, complemented
3#32216C211yesmaximal, characteristic, complemented
4#32206C211yesmaximal, characteristic, complemented
5#31675C211yesmaximal, characteristic, complemented
6#31399C211yesmaximal, characteristic, complemented
7#31387C211yesmaximal, characteristic, complemented
8#31001C211yesmaximal, characteristic, complemented
9#30995C211yesmaximal, characteristic, complemented
10#30857C211yesmaximal, characteristic, complemented
11#30847C211yesmaximal, characteristic, complemented
12#30725C211yesmaximal, characteristic, complemented
13#30701C211yesmaximal, characteristic, complemented
14#30515C211yesmaximal, characteristic, complemented
15#29742C211yesmaximal, characteristic, complemented
16#29730C211yesmaximal, characteristic, complemented
17#29056C211yesmaximal, characteristic, complemented
18#29044C211yesmaximal, characteristic, complemented
19#28923C211yesmaximal, characteristic, complemented
20#28907C211yesmaximal, characteristic, complemented
21#27183C211yesmaximal, characteristic, complemented
22#27170C211yesmaximal, characteristic, complemented
23#25572C211yesmaximal, characteristic, complemented
24#25396C211yesmaximal, characteristic, complemented
25#25390C211yesmaximal, characteristic, complemented
26#24792C211yesmaximal, characteristic, complemented
27#24789C211yesmaximal, characteristic, complemented
28#24388C211yesmaximal, characteristic, complemented
29#24382C211yesmaximal, characteristic, complemented
30#24105C211yesmaximal, characteristic, complemented
31#22848C211yesmaximal, characteristic, complemented
32C2×#555C2211yescharacteristic
33C2×#525C2211yescharacteristic
34C2×#486C2211yescharacteristic, complemented
35C2×#480C2211yescharacteristic, complemented
36C2×#469C2211yescharacteristic
37C2×#469C2211yescharacteristic
38C2×#469C2211yescharacteristic, complemented
39C2×#468C2211yescharacteristic
40C2×#468C2211yescharacteristic, complemented
41C2×#466C2211yescharacteristic
42C2×#466C2211yescharacteristic
43C2×#465C2211yescharacteristic
44C2×#463C2211yescharacteristic, complemented
45C2×#459C2211yescharacteristic, complemented
46C2×#459C2211yescharacteristic, complemented
47C2×#449C2211yescharacteristic
48C2×#449C2211yescharacteristic
49C2×#436C2211yescharacteristic
50C2×#435C2211yescharacteristic
51C2×#428C2211yescharacteristic, complemented
52C2×#407C2211yescharacteristic
53C22×C22⋊C8C2211yescharacteristic
54#2847C2211yescharacteristic
55#2847C2211yescharacteristic
56#2847C2211yescharacteristic
57#2826—21no—
58#2749—21no—
59#2749—21no—
60#2710—21no—
61#2703—21no—
62#2688—21no—
63#2688—21no—
64#2670—21no—
65#2669—21no—
66#2669—21no—
67#2668—21no—
68#2631—21no—
69#2598—21no—
70#2544—21no—
71#2541C2211yescharacteristic
72#2541C2211yescharacteristic
73#2540C2211yescharacteristic
74#2535C2211yescharacteristic
75#2535C2211yescharacteristic
76#2495C2211yescharacteristic
77#2495C2211yescharacteristic
78#2492C2211yescharacteristic
79#2491C2211yescharacteristic
80#2487C2211yescharacteristic
81#2431C2211yescharacteristic
82#2428C2211yescharacteristic
83#2428C2211yescharacteristic
84#2428C2211yescharacteristic
85#2427C2211yescharacteristic
86#2420C2211yescharacteristic
87#2420C2211yescharacteristic
88#2416C2211yescharacteristic
89#2416C2211yescharacteristic
90#2415C2211yescharacteristic
91#2414C2211yescharacteristic
92#2407C2211yescharacteristic
93#2380—21no—
94#2347C2211yescharacteristic
95#2324—21no—
96C4×#120C2211yescharacteristic
97#2101C2211yescharacteristic, complemented
98#2101C2211yescharacteristic, complemented
99#2077C2211yescharacteristic
100#2077C2211yescharacteristic
101#2075C2211yescharacteristic
102#2075C2211yescharacteristic
103#2074C2211yescharacteristic, complemented
104#2073C2211yescharacteristic, complemented
105#2068C2211yescharacteristic, complemented
106#2068C2211yescharacteristic, complemented
107#2067C2211yescharacteristic, complemented
108#2065C2211yescharacteristic, complemented
109#2065C2211yescharacteristic, complemented
110#2065C2211yescharacteristic, complemented
111#2057C2211yescharacteristic, complemented
112#2057C2211yescharacteristic, complemented
113#2042C2211yescharacteristic, complemented
114#2041C2211yescharacteristic, complemented
115#2036C2211yescharacteristic
116#2035C2211yescharacteristic
117#2035C2211yescharacteristic, complemented
118#2034C2211yescharacteristic
119#2034C2211yescharacteristic
120#2034C2211yescharacteristic
121#2033C2211yescharacteristic
122#2033C2211yescharacteristic
123#2033C2211yescharacteristic
124#2033C2211yescharacteristic
125#2033C2211yescharacteristic
126#2033C2211yescharacteristic
127#2033C2211yescharacteristic
128#2033C2211yescharacteristic, complemented
129#2014C2211yescharacteristic, complemented
130#2012C2211yescharacteristic, complemented
131#2011C2211yescharacteristic, complemented
132#2011C2211yescharacteristic, complemented
133#2000C2211yescharacteristic
134#2000C2211yescharacteristic
135#2000C2211yescharacteristic, complemented
136#1999C2211yescharacteristic
137#1999C2211yescharacteristic
138#1999C2211yescharacteristic
139#1999C2211yescharacteristic
140#1999C2211yescharacteristic
141#1999C2211yescharacteristic
142#1999C2211yescharacteristic, complemented
143#1999C2211yescharacteristic, complemented
144#1999C2211yescharacteristic, complemented
145#1987C2211yescharacteristic, complemented
146#1973C2211yescharacteristic, complemented
147#1970C2211yescharacteristic, complemented
148#1961C2211yescharacteristic, complemented
149#1958C2211yescharacteristic, complemented
150#1954C2211yescharacteristic
151#1949C2211yescharacteristic, complemented
152#1949C2211yescharacteristic, complemented
153#1944C2211yescharacteristic, complemented
154#1941C2211yescharacteristic, complemented
155#1934C2211yescharacteristic, complemented
156#1933C2211yescharacteristic, complemented
157#1927C2211yescharacteristic, complemented
158#1925C2211yescharacteristic, complemented
159#1925C2211yescharacteristic, complemented
160#1925C2211yescharacteristic, complemented
161#1924C2211yescharacteristic
162#1923C2211yescharacteristic
163#1921C2211yescharacteristic, complemented
164#1918C2211yescharacteristic, complemented
165#1895C2211yescharacteristic
166#1895C2211yescharacteristic
167#1895C2211yescharacteristic
168#1895C2211yescharacteristic, complemented
169#1894C2211yescharacteristic
170#1893C2211yescharacteristic
171#1893C2211yescharacteristic
172#1893C2211yescharacteristic
173#1892C2211yescharacteristic
174#1879C2211yescharacteristic, complemented
175#1877C2211yescharacteristic, complemented
176#1875C2211yescharacteristic
177#1875C2211yescharacteristic
178#1875C2211yescharacteristic, complemented
179#1875C2211yescharacteristic, complemented
180#1874C2211yescharacteristic, complemented
181#1872C2211yescharacteristic, complemented
182#1870C2211yescharacteristic
183#1870C2211yescharacteristic
184#1869C2211yescharacteristic
185#1864C2211yescharacteristic, complemented
186#1864C2211yescharacteristic, complemented
187#1864C2211yescharacteristic, complemented
188#1862C2211yescharacteristic, complemented
189#1854C2211yescharacteristic
190#1854C2211yescharacteristic
191#1851C2211yescharacteristic
192#1850C2211yescharacteristic
193#1825C2211yescharacteristic, complemented
194#1809C2211yescharacteristic
195#1808C2211yescharacteristic
196#1788C2211yescharacteristic
197#1788C2211yescharacteristic
198#1762C2211yescharacteristic, complemented
199C4×#102C2211yescharacteristic, complemented
200C4×#102C2211yescharacteristic, complemented
201#1753C2211yescharacteristic
202C8×C22⋊C4C2211yescharacteristic
203C22×#41C2311yescharacteristic
204C24×C4C2311yescharacteristic
205C22×SD16C2311yescharacteristic
206C22×SD16C2311yescharacteristic
207C22×D8C2311yescharacteristic
208C22×D8C2311yescharacteristic
209C22×D8C2311yescharacteristic
210C22×D8C2311yescharacteristic
211C22×M16C2311yescharacteristic
212C22×M16C2311yescharacteristic
213C22×M16C2311yescharacteristic
214C23×C8C2311yescharacteristic
215C23×C8C2311yescharacteristic
216#555—42no—
217#555—42no—
218C2×C4⋊Q8C2311yescharacteristic
219C2×#127—21no—
220C2×#127—21no—
221C2×#127C2311yescharacteristic
222C2×#127C2311yescharacteristic
223C2×#124—21no—
224C2×#124—21no—
225C2×#124—21no—
226C2×#124C2311yescharacteristic
227#525—42no—
228#525—42no—
229C2×#123—21no—
230C2×C22⋊Q8C2311yescharacteristic
231C2×C22⋊Q8C2311yescharacteristic
232C2×C22⋊Q8C2311yescharacteristic
233C2×#121—21no—
234C2×#121—21no—
235C2×#121—21no—
236C2×#121—21no—
237C2×#121—21no—
238C2×#121—21no—
239C2×#121C2311yescharacteristic
240C2×#121C2311yescharacteristic
241C2×#121C2311yescharacteristic
242C2×#121C2311yescharacteristic
243C2×#121C2311yescharacteristic
244C2×#121C2311yescharacteristic
245C2×#121C2311yescharacteristic
246C2×#121C2311yescharacteristic
247C2×#121C2311yescharacteristic
248C2×#121C2311yescharacteristic
249C2×#121C2311yescharacteristic
250C2×#121C2311yescharacteristic
251C2×#121C2311yescharacteristic
252C2×#121C2311yescharacteristic
253C2×#121C2311yescharacteristic
254C2×#120—21no—
255C2×#120—21no—
256C2×#120—21no—
257C2×#120—21no—
258C2×#120D411yescharacteristic
259C2×C4×D4—21no—
260C2×C4×D4—21no—
261C2×C4×D4C2311yescharacteristic
262C2×C4×D4C2311yescharacteristic
263C2×C4×D4C2311yescharacteristic
264C2×C4×D4C2311yescharacteristic
265C2×C4×D4C2311yescharacteristic
266C2×C4×D4C2311yescharacteristic
267C2×#117—21no—
268C2×#117C2311yescharacteristic
269C2×#117C2311yescharacteristic
270C22×C4⋊C4C2311yescharacteristic
271#486—42no—
272#480—42no—
273#469—42no—
274#469—42no—
275#469—42no—
276#468—42no—
277#468—42no—
278#466—42no—
279#466—42no—
280#465—42no—
281#463—42no—
282#459—42no—
283#459—42no—
284#449—42no—
285#449—42no—
286#436—42no—
287#435—42no—
288#428—42no—
289C2×#107C2311yescharacteristic
290C2×#107C2311yescharacteristic
291C2×#107C2311yescharacteristic
292C2×#107C2311yescharacteristic
293C2×#107C2311yescharacteristic
294C2×#107C2311yescharacteristic
295C2×#106C2311yescharacteristic
296C2×#106C2311yescharacteristic
297C2×#106C2311yescharacteristic
298C2×#106C2311yescharacteristic
299C2×C4⋊C8C2311yescharacteristic
300C2×C4⋊C8C2311yescharacteristic
301C2×C4⋊C8C2311yescharacteristic
302C2×#103C2311yescharacteristic
303C2×#103C2311yescharacteristic
304C2×#103C2311yescharacteristic
305C2×#103C2311yescharacteristic
306C2×#103C2311yescharacteristic
307C2×#103C2311yescharacteristic
308C2×#102C2311yescharacteristic
309C2×#102C2311yescharacteristic
310C2×#102C2311yescharacteristic
311C2×#102C2311yescharacteristic
312C2×#102C2311yescharacteristic
313C2×#102C2311yescharacteristic
314C2×#102C2311yescharacteristic
315C2×#102C2311yescharacteristic
316C2×#102C2311yescharacteristic
317C2×#102C2311yescharacteristic
318C2×#102C2311yescharacteristic
319C2×#102C2311yescharacteristic
320C2×#102C2311yescharacteristic
321C2×#102C2311yescharacteristic
322C2×#102C2311yescharacteristic
323C2×#102C2311yescharacteristic
324C2×#102C2311yescharacteristic
325C2×#102C2311yescharacteristic
326C2×#102C2311yescharacteristic
327C2×#102C2311yescharacteristic
328C2×#102C2311yescharacteristic
329C2×#102C2311yescharacteristic
330#407—42no—
331C2×C22⋊C8—42no—
332C2×C22⋊C8C2311yescharacteristic
333C2×C22⋊C8C2311yescharacteristic
334C2×C22⋊C8C2311yescharacteristic
335C2×C22⋊C8C2311yescharacteristic
336C2×C22⋊C8C2311yescharacteristic
337C2×C22⋊C8C2311yescharacteristic
338C2×C22⋊C8C2311yescharacteristic
339C2×C22⋊C8C2311yescharacteristic
340C2×C22⋊C8C2311yescharacteristic
341C2×C22⋊C8C2311yescharacteristic
342C2×C22⋊C8C2311yescharacteristic
343C2×#97C2311yescharacteristic
344C2×C4×C8C2311yescharacteristic
345C2×C4×C8C2311yescharacteristic
346#400—21no—
347#400—21no—
348#400—21no—
349#400—21no—
350#399—21no—
351#399—21no—
352#397—21no—
353#397—21no—
354#397—21no—
355#397—21no—
356#397—21no—
357#397—21no—
358#397—21no—
359#397—21no—
360#396—21no—
361#396—21no—
362#394—21no—
363#394—21no—
364#394—21no—
365#394—21no—
366#394—21no—
367#394—21no—
368#394—21no—
369#394—21no—
370#394—21no—
371#394—21no—
372#394—21no—
373#394—21no—
374#393—21no—
375#393—21no—
376#392—21no—
377#392—21no—
378#392—21no—
379#392—21no—
380#392—21no—
381#392—21no—
382#392—21no—
383#392—21no—
384#392—21no—
385#392—21no—
386#392—21no—
387#392—21no—
388#392—21no—
389#392—21no—
390#391—21no—
391#391C2311yescharacteristic
392#391C2311yescharacteristic
393#390—21no—
394#390—21no—
395#390—21no—
396#390—21no—
397#390—21no—
398#390C2311yescharacteristic
399#390C2311yescharacteristic
400#390C2311yescharacteristic
401#390C2311yescharacteristic
402#389—21no—
403#389C2311yescharacteristic
404#389C2311yescharacteristic
405#389C2311yescharacteristic
406#389C2311yescharacteristic
407#389C2311yescharacteristic
408#389C2311yescharacteristic
409#388—21no—
410#388—21no—
411#388—21no—
412#388—21no—
413#388—21no—
414#388—21no—
415#388—21no—
416#388—21no—
417#386—21no—
418#386—21no—
419#386—21no—
420#386—21no—
421#386—21no—
422#386—21no—
423#386—21no—
424#386—21no—
425#386—21no—
426#386—21no—
427#386—21no—
428#386—21no—
429#386—21no—
430#386—21no—
431#386—21no—
432#386—21no—
433#386—21no—
434#386—21no—
435#386—21no—
436#386—21no—
437#386—21no—
438#386—21no—
439#386—21no—
440#386—21no—
441#386—21no—
442#386D411yescharacteristic
443#386D411yescharacteristic
444#386D411yescharacteristic
445#385—21no—
446#385—21no—
447#385D411yescharacteristic
448#385D411yescharacteristic
449#385D411yescharacteristic
450#383—21no—
451#383—21no—
452#383—21no—
453#382C2311yescharacteristic
454#382C2311yescharacteristic
455#381—21no—
456#381—21no—
457#380—21no—
458#380C2311yescharacteristic
459#380C2311yescharacteristic
460#380C2311yescharacteristic
461#380C2311yescharacteristic
462#380C2311yescharacteristic
463#380C2311yescharacteristic
464#380C2311yescharacteristic
465#380C2311yescharacteristic
466#380C2311yescharacteristic
467#380C2311yescharacteristic
468#379D411yescharacteristic
469C4×C4⋊C4—21no—
470C4×C4⋊C4C2311yescharacteristic
471C4×C4⋊C4C2311yescharacteristic
472C4×C4⋊C4C2311yescharacteristic
473C4×C22⋊C4C2311yescharacteristic
474C4×C22⋊C4C2311yescharacteristic
475C4×C22⋊C4C2311yescharacteristic
476#340C2311yescharacteristic
477#340C2311yescharacteristic
478#340C2311yescharacteristic
479#340C2311yescharacteristic
480#340C2311yescharacteristic
481#340C2311yescharacteristic
482#340C2311yescharacteristic
483#340C2311yescharacteristic
484#340C2311yescharacteristic
485#340C2311yescharacteristic
486#340C2311yescharacteristic
487#340C2311yescharacteristic
488#340C2311yescharacteristic
489#340C2311yescharacteristic
490#340C2311yescharacteristic
491#340C2311yescharacteristic
492#340C2311yescharacteristic
493#340C2311yescharacteristic
494#340C2311yescharacteristic
495#340C2311yescharacteristic
496#336C2311yescharacteristic
497#336C2311yescharacteristic
498#336C2311yescharacteristic
499#336C2311yescharacteristic
500#336C2311yescharacteristic
501#336C2311yescharacteristic
502C25C2×D411yescharacteristic
503C2×#41—41no—
504C2×#41—41no—
505C2×#41—41no—
506C2×#41—41no—
507C2×#41—41no—
508C2×#41—41no—
509C22×Q8—21no—
510C22×Q8C2411yescharacteristic
511C22×D4—21no—
512C22×D4—21no—
513C22×D4—21no—
514C22×D4—21no—
515C22×D4—21no—
516C22×D4—21no—
517C22×D4—21no—
518C22×D4—21no—
519C22×D4—21no—
520C22×D4—21no—
521C22×D4—21no—
522C22×D4—21no—
523C22×D4—21no—
524C22×D4—21no—
525C22×D4—21no—
526C22×D4—21no—
527C22×D4—21no—
528C22×D4—21no—
529C22×D4—21no—
530C22×D4—21no—
531C22×D4C2×D411yescharacteristic
532C22×D4C2×D411yescharacteristic
533C22×D4C2×D411yescharacteristic
534C22×D4C2411yescharacteristic
535C22×D4C2411yescharacteristic
536C22×D4C2411yescharacteristic
537C22×D4C2411yescharacteristic
538C23×C4—21no—
539C23×C4—21no—
540C23×C4—21no—
541C23×C4—21no—
542C23×C4—21no—
543C23×C4—41no—
544C23×C4—41no—
545C23×C4—41no—
546C23×C4—41no—
547C23×C4—41no—
548C23×C4—41no—
549C23×C4C2×D411yescharacteristic
550C23×C4C2×D411yescharacteristic
551C23×C4C2×D411yescharacteristic
552C23×C4C2411yescharacteristic
553C23×C4C2411yescharacteristic
554C23×C4C2411yescharacteristic
555C23×C4C2411yescharacteristic
556C2×SD16—22no—
557C2×SD16—41no—
558C2×SD16—41no—
559C2×SD16—41no—
560C2×SD16—41no—
561C2×SD16—41no—
562C2×D8—22no—
563C2×D8—41no—
564C2×D8—41no—
565C2×D8—41no—
566C2×D8—41no—
567C2×D8—41no—
568C2×D8—41no—
569C2×D8—41no—
570C2×D8—41no—
571C2×D8—41no—
572C2×D8—41no—
573C2×D8—41no—
574C2×M16—22no—
575C2×M16—22no—
576C2×M16—22no—
577C2×M16—41no—
578C2×M16—41no—
579C2×M16—41no—
580C2×M16—41no—
581C2×M16—41no—
582C2×M16—41no—
583C22×C8—22no—
584C22×C8—41no—
585C22×C8—41no—
586C22×C8—41no—
587C22×C8—41no—
588C22×C8—41no—
589C22×C8C2411yescharacteristic
590C22×C8C2411yescharacteristic
591C22×C8C2411yescharacteristic
592C22×C8C2411yescharacteristic
593C22×C8C2411yescharacteristic
594C22×C8C2411yescharacteristic
595C22×C8C2411yescharacteristic
596C22×C8C2411yescharacteristic
597C4⋊Q8—22no—
598C4⋊Q8—41no—
599#127—41no—
600#127—41no—
601#127—41no—
602#127—41no—
603#127—44no—
604#127—82no—
605#124—44no—
606#124—41no—
607#124—41no—
608#124—44no—
609#124—82no—
610#123—44no—
611C22⋊Q8—22no—
612C22⋊Q8—22no—
613C22⋊Q8—41no—
614C22⋊Q8—41no—
615C22⋊Q8—41no—
616C22⋊Q8—41no—
617#121—22no—
618#121—22no—
619#121—22no—
620#121—44no—
621#121—44no—
622#121—41no—
623#121—41no—
624#121—41no—
625#121—41no—
626#121—41no—
627#121—41no—
628#121—41no—
629#121—41no—
630#121—41no—
631#121—41no—
632#121—41no—
633#121—41no—
634#121—41no—
635#121—41no—
636#121—41no—
637#121—41no—
638#121—41no—
639#121—41no—
640#121—41no—
641#121—41no—
642#121—41no—
643#121—41no—
644#121—41no—
645#121—41no—
646#121—41no—
647#121—41no—
648#121—41no—
649#121—82no—
650#121—82no—
651#121—82no—
652#121—82no—
653#120—42no—
654#120—44no—
655#120—82no—
656#120—82no—
657#120—82no—
658C4×D4—22no—
659C4×D4—41no—
660C4×D4—41no—
661C4×D4—41no—
662C4×D4—41no—
663C4×D4—41no—
664C4×D4—41no—
665C4×D4—41no—
666C4×D4—44no—
667C4×D4—44no—
668C4×D4—41no—
669C4×D4—41no—
670C4×D4—41no—
671C4×D4—41no—
672#117—22no—
673#117—22no—
674#117—22no—
675#117—44no—
676#117—41no—
677C2×C4⋊C4—21no—
678C2×C4⋊C4—21no—
679C2×C4⋊C4—21no—
680C2×C4⋊C4—21no—
681C2×C4⋊C4—21no—
682C2×C4⋊C4—21no—
683C2×C4⋊C4—21no—
684C2×C4⋊C4—21no—
685C2×C4⋊C4—21no—
686C2×C4⋊C4—21no—
687C2×C4⋊C4—21no—
688C2×C4⋊C4—41no—
689C2×C4⋊C4—41no—
690C2×C4⋊C4C2×D411yescharacteristic
691C2×C4⋊C4C2×D411yescharacteristic
692C2×C4⋊C4C2×D411yescharacteristic
693C2×C4⋊C4C2411yescharacteristic
694C2×C4⋊C4C2411yescharacteristic
695C2×C4⋊C4C2411yescharacteristic
696C2×C4⋊C4C2411yescharacteristic
697C2×C4⋊C4C2411yescharacteristic
698C2×C4⋊C4C2411yescharacteristic
699C2×C4⋊C4C2411yescharacteristic
700C2×C4⋊C4C2411yescharacteristic
701C2×C4⋊C4C2411yescharacteristic
702C2×C4⋊C4C2411yescharacteristic
703C2×C4⋊C4C2411yescharacteristic
704C2×C22⋊C4—21no—
705C2×C22⋊C4—21no—
706C2×C22⋊C4—21no—
707C2×C22⋊C4—21no—
708C2×C22⋊C4—21no—
709C2×C22⋊C4—21no—
710C2×C22⋊C4—21no—
711C2×C22⋊C4—21no—
712C2×C22⋊C4—21no—
713C2×C22⋊C4—21no—
714C2×C22⋊C4—21no—
715C2×C22⋊C4—21no—
716C2×C22⋊C4—21no—
717C2×C22⋊C4—21no—
718C2×C22⋊C4—21no—
719C2×C22⋊C4—21no—
720C2×C22⋊C4—21no—
721C2×C22⋊C4—21no—
722C2×C22⋊C4—21no—
723C2×C22⋊C4—21no—
724C2×C22⋊C4—21no—
725C2×C22⋊C4—21no—
726C2×C22⋊C4—21no—
727C2×C22⋊C4—21no—
728C2×C22⋊C4—21no—
729C2×C22⋊C4—21no—
730C2×C22⋊C4—21no—
731C2×C22⋊C4—21no—
732C2×C22⋊C4—21no—
733C2×C22⋊C4—21no—
734C2×C22⋊C4—21no—
735C2×C22⋊C4—21no—
736C2×C22⋊C4—21no—
737C2×C22⋊C4—21no—
738C2×C22⋊C4—21no—
739C2×C22⋊C4—21no—
740C2×C22⋊C4—21no—
741C2×C22⋊C4—21no—
742C2×C22⋊C4—21no—
743C2×C22⋊C4—21no—
744C2×C22⋊C4—21no—
745C2×C22⋊C4—21no—
746C2×C22⋊C4—21no—
747C2×C22⋊C4C2×D411yescharacteristic
748C2×C22⋊C4C2×D411yescharacteristic
749C2×C22⋊C4C2×D411yescharacteristic
750C2×C22⋊C4C2×D411yescharacteristic
751C2×C22⋊C4C2×D411yescharacteristic
752C2×C22⋊C4C2×D411yescharacteristic
753C2×C22⋊C4C2×D411yescharacteristic
754C2×C22⋊C4C2×D411yescharacteristic
755C2×C22⋊C4C2×D411yescharacteristic
756C2×C22⋊C4C2×D411yescharacteristic
757C2×C22⋊C4C2×D411yescharacteristic
758C2×C22⋊C4C2×D411yescharacteristic
759C2×C42—21no—
760C2×C42—21no—
761C2×C42—21no—
762C2×C42—21no—
763C2×C42—21no—
764C2×C42C2411yescharacteristic
765C2×C42C2411yescharacteristic
766C2×C42C2411yescharacteristic
767#107—22no—
768#107—22no—
769#107—41no—
770#107—41no—
771#107—41no—
772#107—41no—
773#106—22no—
774#106—22no—
775#106—41no—
776#106—41no—
777C4⋊C8—22no—
778C4⋊C8—22no—
779C4⋊C8—41no—
780#103—22no—
781#103—41no—
782#103—41no—
783#103—41no—
784#103—41no—
785#103—41no—
786#102—22no—
787#102—22no—
788#102—22no—
789#102—22no—
790#102—22no—
791#102—22no—
792#102—22no—
793#102—22no—
794#102—22no—
795#102—41no—
796#102—41no—
797#102—41no—
798#102—41no—
799#102—41no—
800#102—41no—
801#102—41no—
802#102—41no—
803#102—41no—
804#102—41no—
805#102—41no—
806#102—41no—
807#102—41no—
808C22⋊C8—22no—
809C22⋊C8—22no—
810C22⋊C8—22no—
811C22⋊C8—22no—
812C22⋊C8—41no—
813C22⋊C8—41no—
814C22⋊C8—41no—
815C22⋊C8—41no—
816C22⋊C8—41no—
817C22⋊C8—41no—
818C22⋊C8—41no—
819#97—41no—
820C4×C8—41no—
821C4×C8—41no—
822#95—21no—
823#95—21no—
824#95—21no—
825#95—21no—
826#95—21no—
827#95—21no—
828#95—21no—
829#95—21no—
830#95—21no—
831#95—21no—
832#95—21no—
833#95—21no—
834#95—21no—
835#95—21no—
836#95—21no—
837#95—21no—
838#95—21no—
839#95—21no—
840#95—21no—
841#95—21no—
842#95—21no—
843#95—21no—
844#95—21no—
845#95—21no—
846#95—21no—
847#95—21no—
848#95—21no—
849#95C2×D411yescharacteristic
850#95C2×D411yescharacteristic
851#95C2×D411yescharacteristic
852#95C2×D411yescharacteristic
853#95C2×D411yescharacteristic
854#95C2×D411yescharacteristic
855C24—22no—
856C24—21no—
857C24—21no—
858C24—21no—
859C24—21no—
860C24—41no—
861C24—41no—
862C24—41no—
863C24—41no—
864C24—41no—
865C24—41no—
866C24C22×D411yescharacteristic
867C24C22×D411yescharacteristic
868C24C22×D411yescharacteristic
869C24C22×D411yescharacteristic
870#41—82no—
871#41—82no—
872#41—82no—
873#41—82no—
874C2×Q8—21no—
875C2×Q8—21no—
876C2×Q8—21no—
877C2×Q8—21no—
878C2×Q8—21no—
879C2×Q8—21no—
880C2×Q8—42no—
881C2×Q8—81no—
882C2×Q8—81no—
883C2×D4—22no—
884C2×D4—22no—
885C2×D4—21no—
886C2×D4—21no—
887C2×D4—21no—
888C2×D4—21no—
889C2×D4—21no—
890C2×D4—21no—
891C2×D4—21no—
892C2×D4—21no—
893C2×D4—21no—
894C2×D4—21no—
895C2×D4—21no—
896C2×D4—21no—
897C2×D4—21no—
898C2×D4—21no—
899C2×D4—21no—
900C2×D4—21no—
901C2×D4—21no—
902C2×D4—21no—
903C2×D4—21no—
904C2×D4—21no—
905C2×D4—21no—
906C2×D4—21no—
907C2×D4—21no—
908C2×D4—21no—
909C2×D4—41no—
910C2×D4—41no—
911C2×D4—41no—
912C2×D4—41no—
913C2×D4—41no—
914C2×D4—41no—
915C2×D4—41no—
916C2×D4—42no—
917C2×D4—42no—
918C2×D4—42no—
919C2×D4—42no—
920C2×D4—42no—
921C2×D4—42no—
922C2×D4—42no—
923C2×D4—42no—
924C2×D4—42no—
925C2×D4—42no—
926C2×D4—42no—
927C2×D4—42no—
928C2×D4—42no—
929C2×D4—42no—
930C2×D4—42no—
931C2×D4—42no—
932C2×D4—42no—
933C2×D4—42no—
934C2×D4—42no—
935C2×D4—81no—
936C2×D4—81no—
937C2×D4—81no—
938C2×D4—81no—
939C2×D4—81no—
940C2×D4—81no—
941C2×D4—81no—
942C2×D4—81no—
943C2×D4—81no—
944C2×D4—81no—
945C2×D4—81no—
946C2×D4—81no—
947C2×D4—81no—
948C2×D4—81no—
949C2×D4—81no—
950C2×D4—81no—
951C2×D4—81no—
952C2×D4—81no—
953C2×D4—81no—
954C2×D4—81no—
955C2×D4—81no—
956C2×D4—81no—
957C2×D4—81no—
958C2×D4—81no—
959C2×D4—81no—
960C2×D4—81no—
961C2×D4—81no—
962C2×D4—81no—
963C2×D4—81no—
964C2×D4—81no—
965C2×D4—81no—
966C2×D4—81no—
967C2×D4—81no—
968C2×D4—81no—
969C2×D4—81no—
970C2×D4—81no—
971C2×D4—81no—
972C2×D4—81no—
973C2×D4—81no—
974C2×D4—81no—
975C2×D4—81no—
976C22×C4—21no—
977C22×C4—21no—
978C22×C4—21no—
979C22×C4—21no—
980C22×C4—21no—
981C22×C4—21no—
982C22×C4—21no—
983C22×C4—21no—
984C22×C4—21no—
985C22×C4—21no—
986C22×C4—21no—
987C22×C4—21no—
988C22×C4—21no—
989C22×C4—21no—
990C22×C4—21no—
991C22×C4—21no—
992C22×C4—21no—
993C22×C4—21no—
994C22×C4—21no—
995C22×C4—21no—
996C22×C4—21no—
997C22×C4—21no—
998C22×C4—21no—
999C22×C4—21no—
1000C22×C4—21no—
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—21no—
1010C22×C4—21no—
1011C22×C4—21no—
1012C22×C4—41no—
1013C22×C4—41no—
1014C22×C4—41no—
1015C22×C4—41no—
1016C22×C4—41no—
1017C22×C4—41no—
1018C22×C4—41no—
1019C22×C4—41no—
1020C22×C4—41no—
1021C22×C4—42no—
1022C22×C4—42no—
1023C22×C4—42no—
1024C22×C4—81no—
1025C22×C4—81no—
1026C22×C4—81no—
1027C22×C4—81no—
1028C22×C4—81no—
1029C22×C4—81no—
1030C22×C4—81no—
1031C22×C4—81no—
1032C22×C4—81no—
1033C22×C4—82no—
1034C22×C4—82no—
1035C22×C4—82no—
1036C22×C4—82no—
1037C22×C4—81no—
1038C22×C4—81no—
1039C22×C4—81no—
1040C22×C4C22×D411yescharacteristic
1041C22×C4C22×D411yescharacteristic
1042C22×C4C22×D411yescharacteristic
1043C22×C4C22×D411yescharacteristic
1044C22×C4C22×D411yescharacteristic
1045C22×C4C22×D411yescharacteristic
1046C22×C4C22×D411yescharacteristic
1047C22×C4C22×D411yescharacteristic
1048C22×C4C22×D411yescharacteristic
1049C22×C4C22×D411yescharacteristic
1050C22×C4C2511yescharacteristic
1051SD16—82no—
1052SD16—82no—
1053D8—82no—
1054D8—82no—
1055D8—82no—
1056D8—82no—
1057M16—44no—
1058M16—82no—
1059M16—82no—
1060C2×C8—21no—
1061C2×C8—21no—
1062C2×C8—21no—
1063C2×C8—21no—
1064C2×C8—21no—
1065C2×C8—21no—
1066C2×C8—21no—
1067C2×C8—21no—
1068C2×C8—21no—
1069C2×C8—21no—
1070C2×C8—21no—
1071C2×C8—21no—
1072C2×C8—21no—
1073C2×C8—21no—
1074C2×C8—21no—
1075C2×C8—21no—
1076C2×C8—21no—
1077C2×C8—21no—
1078C2×C8—21no—
1079C2×C8—21no—
1080C2×C8—21no—
1081C2×C8—21no—
1082C2×C8—82no—
1083C2×C8—82no—
1084C2×C8H(5,𝔽2)12yes—
1085C2×C8H(5,𝔽2)12yes—
1086C4⋊C4—21no—
1087C4⋊C4—21no—
1088C4⋊C4—21no—
1089C4⋊C4—21no—
1090C4⋊C4—21no—
1091C4⋊C4—21no—
1092C4⋊C4—21no—
1093C4⋊C4—21no—
1094C4⋊C4—21no—
1095C4⋊C4—21no—
1096C4⋊C4—21no—
1097C4⋊C4—21no—
1098C4⋊C4—21no—
1099C4⋊C4—21no—
1100C4⋊C4—21no—
1101C4⋊C4—21no—
1102C4⋊C4—21no—
1103C4⋊C4—21no—
1104C4⋊C4—21no—
1105C4⋊C4—21no—
1106C4⋊C4—41no—
1107C4⋊C4—41no—
1108C4⋊C4—41no—
1109C4⋊C4—42no—
1110C4⋊C4—42no—
1111C4⋊C4—42no—
1112C4⋊C4—42no—
1113C4⋊C4—81no—
1114C4⋊C4—81no—
1115C4⋊C4—81no—
1116C4⋊C4—81no—
1117C4⋊C4—81no—
1118C4⋊C4—81no—
1119C4⋊C4—81no—
1120C4⋊C4H(5,𝔽2)12yes—
1121C4⋊C4H(5,𝔽2)12yes—
1122C22⋊C4—24no—
1123C22⋊C4—22no—
1124C22⋊C4—22no—
1125C22⋊C4—22no—
1126C22⋊C4—41no—
1127C22⋊C4—41no—
1128C22⋊C4—41no—
1129C22⋊C4—41no—
1130C22⋊C4—41no—
1131C22⋊C4—41no—
1132C22⋊C4—41no—
1133C22⋊C4—41no—
1134C22⋊C4—41no—
1135C22⋊C4—42no—
1136C22⋊C4—42no—
1137C22⋊C4—42no—
1138C22⋊C4—42no—
1139C22⋊C4—42no—
1140C22⋊C4—42no—
1141C22⋊C4—42no—
1142C22⋊C4—42no—
1143C22⋊C4—42no—
1144C22⋊C4—42no—
1145C22⋊C4—42no—
1146C22⋊C4—42no—
1147C22⋊C4—81no—
1148C22⋊C4—81no—
1149C22⋊C4—81no—
1150C22⋊C4—81no—
1151C22⋊C4—81no—
1152C22⋊C4—81no—
1153C22⋊C4—81no—
1154C22⋊C4—81no—
1155C22⋊C4—81no—
1156C22⋊C4—81no—
1157C22⋊C4—81no—
1158C22⋊C4—81no—
1159C22⋊C4—81no—
1160C22⋊C4—81no—
1161C22⋊C4—81no—
1162C22⋊C4—81no—
1163C22⋊C4—81no—
1164C22⋊C4—81no—
1165C22⋊C4—81no—
1166C22⋊C4—81no—
1167C22⋊C4—81no—
1168C22⋊C4—81no—
1169C22⋊C4—81no—
1170C22⋊C4—81no—
1171C22⋊C4—81no—
1172C22⋊C4—81no—
1173C22⋊C4—81no—
1174C22⋊C4—81no—
1175C22⋊C4—81no—
1176C22⋊C4—81no—
1177C42—24no—
1178C42—21no—
1179C42—21no—
1180C42—21no—
1181C42—21no—
1182C42—21no—
1183C42—21no—
1184C42—42no—
1185C42—42no—
1186C42—81no—
1187C42—81no—
1188C23—21no—
1189C23—21no—
1190C23—21no—
1191C23—21no—
1192C23—21no—
1193C23—21no—
1194C23—21no—
1195C23—21no—
1196C23—21no—
1197C23—21no—
1198C23—21no—
1199C23—21no—
1200C23—21no—
1201C23—21no—
1202C23—21no—
1203C23—21no—
1204C23—21no—
1205C23—21no—
1206C23—21no—
1207C23—21no—
1208C23—21no—
1209C23—21no—
1210C23—21no—
1211C23—21no—
1212C23—21no—
1213C23—21no—
1214C23—21no—
1215C23—44no—
1216C23—41no—
1217C23—41no—
1218C23—41no—
1219C23—41no—
1220C23—41no—
1221C23—41no—
1222C23—41no—
1223C23—41no—
1224C23—41no—
1225C23—41no—
1226C23—41no—
1227C23—41no—
1228C23—41no—
1229C23—41no—
1230C23—41no—
1231C23—41no—
1232C23—41no—
1233C23—41no—
1234C23—41no—
1235C23—41no—
1236C23—41no—
1237C23—41no—
1238C23—41no—
1239C23—41no—
1240C23—41no—
1241C23—41no—
1242C23—41no—
1243C23—41no—
1244C23—82no—
1245C23—82no—
1246C23—82no—
1247C23—82no—
1248C23—82no—
1249C23—82no—
1250C23#57612yes—
1251C23C23×D411yescharacteristic
1252Q8—41no—
1253Q8—41no—
1254Q8—41no—
1255Q8—41no—
1256Q8—162no—
1257D4—41no—
1258D4—41no—
1259D4—41no—
1260D4—41no—
1261D4—41no—
1262D4—41no—
1263D4—41no—
1264D4—41no—
1265D4—41no—
1266D4—41no—
1267D4—41no—
1268D4—41no—
1269D4—41no—
1270D4—41no—
1271D4—41no—
1272D4—41no—
1273D4—82no—
1274D4—82no—
1275D4—84no—
1276D4—82no—
1277D4—84no—
1278D4—84no—
1279D4—162no—
1280D4—162no—
1281D4—162no—
1282D4—162no—
1283D4—162no—
1284D4—162no—
1285D4—162no—
1286D4—162no—
1287D4—162no—
1288D4—162no—
1289D4—162no—
1290D4—162no—
1291D4—162no—
1292D4—162no—
1293D4—162no—
1294D4—162no—
1295D4—162no—
1296C2×C4—21no—
1297C2×C4—21no—
1298C2×C4—21no—
1299C2×C4—21no—
1300C2×C4—21no—
1301C2×C4—21no—
1302C2×C4—21no—
1303C2×C4—21no—
1304C2×C4—22no—
1305C2×C4—22no—
1306C2×C4—21no—
1307C2×C4—21no—
1308C2×C4—21no—
1309C2×C4—21no—
1310C2×C4—21no—
1311C2×C4—21no—
1312C2×C4—21no—
1313C2×C4—21no—
1314C2×C4—21no—
1315C2×C4—21no—
1316C2×C4—21no—
1317C2×C4—21no—
1318C2×C4—21no—
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—41no—
1328C2×C4—41no—
1329C2×C4—41no—
1330C2×C4—41no—
1331C2×C4—41no—
1332C2×C4—41no—
1333C2×C4—41no—
1334C2×C4—41no—
1335C2×C4—41no—
1336C2×C4—41no—
1337C2×C4—41no—
1338C2×C4—41no—
1339C2×C4—41no—
1340C2×C4—41no—
1341C2×C4—41no—
1342C2×C4—41no—
1343C2×C4—41no—
1344C2×C4—41no—
1345C2×C4—41no—
1346C2×C4—41no—
1347C2×C4—41no—
1348C2×C4—41no—
1349C2×C4—41no—
1350C2×C4—41no—
1351C2×C4—41no—
1352C2×C4—41no—
1353C2×C4—41no—
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—84no—
1378C2×C4—82no—
1379C2×C4—82no—
1380C2×C4—82no—
1381C2×C4—84no—
1382C2×C4—162no—
1383C2×C4—162no—
1384C2×C4—162no—
1385C2×C4#57512yes—
1386C2×C4C2×H(5,𝔽2)11yescharacteristic
1387C2×C4C2×H(5,𝔽2)11yescharacteristic
1388C2×C4C2×H(5,𝔽2)11yescharacteristic
1389C2×C4C2×H(5,𝔽2)11yescharacteristic
1390C2×C4#58511yescharacteristic
1391C2×C4#58511yescharacteristic
1392C8—22no—
1393C8—22no—
1394C8—41no—
1395C8—41no—
1396C8—41no—
1397C8—41no—
1398C8—41no—
1399C8—41no—
1400C22—22no—
1401C22—22no—
1402C22—22no—
1403C22—41no—
1404C22—41no—
1405C22—41no—
1406C22—41no—
1407C22—41no—
1408C22—41no—
1409C22—41no—
1410C22—41no—
1411C22—41no—
1412C22—41no—
1413C22—41no—
1414C22—41no—
1415C22—41no—
1416C22—41no—
1417C22—41no—
1418C22—41no—
1419C22—41no—
1420C22—41no—
1421C22—41no—
1422C22—41no—
1423C22—41no—
1424C22—41no—
1425C22—41no—
1426C22—41no—
1427C22—41no—
1428C22—88no—
1429C22—81no—
1430C22—81no—
1431C22—81no—
1432C22—81no—
1433C22—81no—
1434C22—81no—
1435C22—81no—
1436C22—81no—
1437C22—81no—
1438C22—81no—
1439C22—81no—
1440C22—81no—
1441C22—81no—
1442C22—81no—
1443C22—81no—
1444C22—81no—
1445C22—81no—
1446C22—81no—
1447C22—81no—
1448C22—81no—
1449C22—81no—
1450C22—81no—
1451C22—81no—
1452C22—81no—
1453C22—81no—
1454C22—81no—
1455C22—81no—
1456C22—81no—
1457C22#348411yescharacteristic
1458C22#349611yescharacteristic
1459C22#349611yescharacteristic
1460C22C2×#57511yescharacteristic
1461C22C2×#57611yescharacteristic
1462C22#358411yescharacteristic
1463C22#358511yescharacteristic
1464C4—22no—
1465C4—41no—
1466C4—41no—
1467C4—41no—
1468C4—41no—
1469C4—41no—
1470C4—41no—
1471C4—41no—
1472C4—41no—
1473C4—42no—
1474C4—41no—
1475C4—42no—
1476C4—81no—
1477C4—81no—
1478C4—81no—
1479C4—81no—
1480C4—81no—
1481C4—81no—
1482C4—81no—
1483C4—81no—
1484C4—81no—
1485C4—81no—
1486C4#353711yescharacteristic
1487C4#354611yescharacteristic
1488C4#354611yescharacteristic
1489C4#355111yescharacteristic
1490C2—42no—
1491C2—81no—
1492C2—81no—
1493C2—81no—
1494C2—161no—
1495C2—161no—
1496C2—161no—
1497C2—161no—
1498C2#4956411yescharacteristic
1499C2#6159711yescharacteristic
1500C2#6161711yescharacteristic
1501C2#6226311yescharacteristic
1502C2#6227811yescharacteristic
1503C2#6230411yescharacteristic
1504C2#6231811yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ C4×#120 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #45599C2semidirect
2. #39886C2semidirect
3. #32216C2semidirect
4. #32206C2semidirect
5. #31675C2semidirect
6. #31399C2semidirect
7. #31387C2semidirect
8. #31001C2semidirect
9. #30995C2semidirect
10. #30857C2semidirect
11. #30847C2semidirect
12. #30725C2semidirect
13. #30701C2semidirect
14. #30515C2semidirect
15. #29742C2semidirect
16. #29730C2semidirect
17. #29056C2semidirect
18. #29044C2semidirect
19. #28923C2semidirect
20. #28907C2semidirect
21. #27183C2semidirect
22. #27170C2semidirect
23. #25572C2semidirect
24. #25396C2semidirect
25. #25390C2semidirect
26. #24792C2semidirect
27. #24789C2semidirect
28. #24388C2semidirect
29. #24382C2semidirect
30. #24105C2semidirect
31. #22848C2semidirect
34. C2×#486C22semidirect
35. C2×#480C22semidirect
38. C2×#469C22semidirect
40. C2×#468C22semidirect
44. C2×#463C22semidirect
45. C2×#459C22semidirect
46. C2×#459C22semidirect
51. C2×#428C22semidirect
97. #2101C22semidirect
98. #2101C22semidirect
103. #2074C22semidirect
104. #2073C22semidirect
105. #2068C22semidirect
106. #2068C22semidirect
107. #2067C22semidirect
108. #2065C22semidirect
109. #2065C22semidirect
110. #2065C22semidirect
111. #2057C22semidirect
112. #2057C22semidirect
113. #2042C22semidirect
114. #2041C22semidirect
117. #2035C22semidirect
128. #2033C22semidirect
129. #2014C22semidirect
130. #2012C22semidirect
131. #2011C22semidirect
132. #2011C22semidirect
135. #2000C22semidirect
142. #1999C22semidirect
143. #1999C22semidirect
144. #1999C22semidirect
145. #1987C22semidirect
146. #1973C22semidirect
147. #1970C22semidirect
148. #1961C22semidirect
149. #1958C22semidirect
151. #1949C22semidirect
152. #1949C22semidirect
153. #1944C22semidirect
154. #1941C22semidirect
155. #1934C22semidirect
156. #1933C22semidirect
157. #1927C22semidirect
158. #1925C22semidirect
159. #1925C22semidirect
160. #1925C22semidirect
163. #1921C22semidirect
164. #1918C22semidirect
168. #1895C22semidirect
174. #1879C22semidirect
175. #1877C22semidirect
178. #1875C22semidirect
179. #1875C22semidirect
180. #1874C22semidirect
181. #1872C22semidirect
185. #1864C22semidirect
186. #1864C22semidirect
187. #1864C22semidirect
188. #1862C22semidirect
193. #1825C22semidirect
198. #1762C22semidirect
199. C4×#102C22semidirect
200. C4×#102C22semidirect

Maximal subgroups

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

subgroupindex
#455992
#398862
#322162
#322062
#316752
#313992
#313872
#310012
#309952
#308572
#308472
#307252
#307012
#305152
#297422
#297302
#290562
#290442
#289232
#289072
#271832
#271702
#255722
#253962
#253902
#247922
#247892
#243882
#243822
#241052
#228482