Finite Group Databasebeta

← #7236352

Subgroups — #7236352

Order 512.

1870 conjugacy classes of subgroups.

The subgroup lattice has 1501 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#39852C211yesmaximal, characteristic, complemented
2#39486C211yesmaximal, characteristic, complemented
3#32777C211yesmaximal, characteristic, complemented
4#31730C211yesmaximal, characteristic, complemented
5#31720C211yesmaximal, characteristic, complemented
6#31653C211yesmaximal, characteristic, complemented
7#31646C211yesmaximal, characteristic, complemented
8#31408C211yesmaximal, characteristic, complemented
9#31384C211yesmaximal, characteristic, complemented
10#31355C211yesmaximal, characteristic, complemented
11#31350C211yesmaximal, characteristic, complemented
12#30454C211yesmaximal, characteristic, complemented
13#30454C211yesmaximal, characteristic, complemented
14#30414C211yesmaximal, characteristic, complemented
15#30398C211yesmaximal, characteristic, complemented
16#29104C211yesmaximal, characteristic, complemented
17#27274C211yesmaximal, characteristic, complemented
18#27261C211yesmaximal, characteristic, complemented
19#26984C211yesmaximal, characteristic, complemented
20#26961C211yesmaximal, characteristic, complemented
21#26176C211yesmaximal, characteristic, complemented
22#26160C211yesmaximal, characteristic, complemented
23#25597C211yesmaximal, characteristic, complemented
24#24444C211yesmaximal, characteristic, complemented
25#24428C211yesmaximal, characteristic, complemented
26#24257C211yesmaximal, characteristic, complemented
27#24245C211yesmaximal, characteristic, complemented
28#23975C211yesmaximal, characteristic, complemented
29#23962C211yesmaximal, characteristic, complemented
30#23930C211yesmaximal, characteristic, complemented
31#22333C211yesmaximal, characteristic, complemented
32C2×#553C2211yescharacteristic, complemented
33C2×#546C2211yescharacteristic
34C2×#546C2211yescharacteristic
35C2×#532C2211yescharacteristic
36C2×#492C2211yescharacteristic, complemented
37C2×#487C2211yescharacteristic, complemented
38C2×#469C2211yescharacteristic
39C2×#466C2211yescharacteristic
40C2×#463C2211yescharacteristic
41C2×#463C2211yescharacteristic
42C2×#449C2211yescharacteristic
43C2×#449C2211yescharacteristic
44C2×#449C2211yescharacteristic
45C2×#449C2211yescharacteristic
46C2×#447C2211yescharacteristic
47C2×#447C2211yescharacteristic
48C2×#442C2211yescharacteristic
49C2×C4×D8C2211yescharacteristic
50C2×#417C2211yescharacteristic
51C2×#416C2211yescharacteristic
52#2857C2211yescharacteristic
53#2851C2211yescharacteristic
54#2724—21no—
55#2715—21no—
56#2701—21no—
57#2701—21no—
58#2691—21no—
59#2682—21no—
60#2676—21no—
61#2675—21no—
62#2630—21no—
63#2617—21no—
64#2566C2211yescharacteristic, complemented
65#2537C2211yescharacteristic
66#2535C2211yescharacteristic
67#2535C2211yescharacteristic, complemented
68#2447C2211yescharacteristic
69#2447C2211yescharacteristic
70#2440C2211yescharacteristic, complemented
71#2439C2211yescharacteristic, complemented
72#2432C2211yescharacteristic
73#2432C2211yescharacteristic
74#2430—21no—
75#2428C2211yescharacteristic, complemented
76#2428C2211yescharacteristic, complemented
77#2422C2211yescharacteristic
78#2422C2211yescharacteristic
79#2417C2211yescharacteristic
80#2417C2211yescharacteristic
81#2416C2211yescharacteristic
82#2414C2211yescharacteristic
83#2412—21no—
84#2412—21no—
85#2407—21no—
86#2407C2211yescharacteristic
87#2407C2211yescharacteristic
88#2349C2211yescharacteristic, complemented
89#2325—21no—
90#2315—21no—
91C4×#121C2211yescharacteristic
92C2×#390C2211yescharacteristic
93#2101C2211yescharacteristic, complemented
94#2099C2211yescharacteristic, complemented
95#2097C2211yescharacteristic, complemented
96#2097C2211yescharacteristic, complemented
97#2088C2211yescharacteristic, complemented
98#2086C2211yescharacteristic, complemented
99#2084C2211yescharacteristic, complemented
100#2083C2211yescharacteristic, complemented
101#2077C2211yescharacteristic, complemented
102#2075C2211yescharacteristic, complemented
103#2074C2211yescharacteristic, complemented
104#2073C2211yescharacteristic
105#2073C2211yescharacteristic
106#2072C2211yescharacteristic, complemented
107#2055C2211yescharacteristic, complemented
108#2055C2211yescharacteristic, complemented
109#2043C2211yescharacteristic, complemented
110#2043C2211yescharacteristic, complemented
111#2042C2211yescharacteristic
112#2042C2211yescharacteristic
113#2036C2211yescharacteristic
114#2036C2211yescharacteristic
115#2035C2211yescharacteristic
116#2035C2211yescharacteristic
117#2034C2211yescharacteristic
118#2034C2211yescharacteristic, complemented
119#2033C2211yescharacteristic
120#2033C2211yescharacteristic, complemented
121#2026C2211yescharacteristic, complemented
122#2026C2211yescharacteristic, complemented
123#2025C2211yescharacteristic
124#2025C2211yescharacteristic
125#2023C2211yescharacteristic
126#2023C2211yescharacteristic
127#2012C2211yescharacteristic
128#2012C2211yescharacteristic
129#2011C2211yescharacteristic
130#2011C2211yescharacteristic
131#2000C2211yescharacteristic
132#2000C2211yescharacteristic
133#2000C2211yescharacteristic
134#2000C2211yescharacteristic
135#2000C2211yescharacteristic, complemented
136#2000C2211yescharacteristic, complemented
137#2000C2211yescharacteristic, complemented
138#2000C2211yescharacteristic, complemented
139#1999C2211yescharacteristic
140#1999C2211yescharacteristic
141#1990C2211yescharacteristic, complemented
142#1959C2211yescharacteristic
143#1958C2211yescharacteristic
144#1957C2211yescharacteristic, complemented
145#1955C2211yescharacteristic
146#1954C2211yescharacteristic
147#1936C2211yescharacteristic, complemented
148#1935C2211yescharacteristic, complemented
149#1934C2211yescharacteristic
150#1934C2211yescharacteristic
151#1934C2211yescharacteristic
152#1934C2211yescharacteristic
153#1934C2211yescharacteristic, complemented
154#1933C2211yescharacteristic, complemented
155#1923C2211yescharacteristic, complemented
156#1923C2211yescharacteristic, complemented
157#1917C2211yescharacteristic, complemented
158#1916C2211yescharacteristic, complemented
159#1895C2211yescharacteristic, complemented
160#1894C2211yescharacteristic, complemented
161#1893C2211yescharacteristic, complemented
162#1892C2211yescharacteristic, complemented
163#1879C2211yescharacteristic
164#1879C2211yescharacteristic
165#1879C2211yescharacteristic
166#1879C2211yescharacteristic
167#1879C2211yescharacteristic
168#1879C2211yescharacteristic
169#1877C2211yescharacteristic, complemented
170#1877C2211yescharacteristic, complemented
171#1877C2211yescharacteristic, complemented
172#1877C2211yescharacteristic, complemented
173#1877C2211yescharacteristic, complemented
174#1877C2211yescharacteristic, complemented
175#1875C2211yescharacteristic
176#1874C2211yescharacteristic
177#1874C2211yescharacteristic
178#1874C2211yescharacteristic
179#1873C2211yescharacteristic, complemented
180#1872C2211yescharacteristic, complemented
181#1870C2211yescharacteristic
182#1870C2211yescharacteristic, complemented
183#1869C2211yescharacteristic
184#1869C2211yescharacteristic, complemented
185#1864C2211yescharacteristic
186#1864C2211yescharacteristic, complemented
187#1862C2211yescharacteristic
188#1862C2211yescharacteristic, complemented
189#1825C2211yescharacteristic, complemented
190#1824C2211yescharacteristic
191#1824C2211yescharacteristic
192#1823C2211yescharacteristic, complemented
193#1817C2211yescharacteristic
194#1804C2211yescharacteristic
195#1802C2211yescharacteristic
196#1788C2211yescharacteristic
197#1788C2211yescharacteristic
198#1786C2211yescharacteristic
199#1786C2211yescharacteristic
200#1753C2211yescharacteristic, complemented
201C8×C22⋊C4C2211yescharacteristic, complemented
202C4×C22⋊C8C2211yescharacteristic
203C22×#41—21no—
204C22×#41C2311yescharacteristic
205C22×#41C2311yescharacteristic
206C23×D4C2311yescharacteristic
207C22×SD16C2311yescharacteristic
208C22×SD16C2311yescharacteristic
209C22×SD16C2311yescharacteristic
210C22×SD16C2311yescharacteristic
211C22×D8C2311yescharacteristic
212C22×D8C2311yescharacteristic
213C22×D8C2311yescharacteristic
214C22×D8C2311yescharacteristic
215C22×M16C2311yescharacteristic
216C23×C8C2311yescharacteristic
217#553—42no—
218#553—42no—
219#546—42no—
220#546—42no—
221#546—42no—
222#546—42no—
223#532—42no—
224#532—42no—
225C2×C4⋊Q8C2311yescharacteristic
226C2×C4⋊Q8C2311yescharacteristic
227C2×#127C2311yescharacteristic
228C2×#126—21no—
229C2×#125C2311yescharacteristic
230C2×#124—21no—
231C2×#124C2311yescharacteristic
232C2×#124C2311yescharacteristic
233C2×#123—21no—
234C2×#123—21no—
235C2×#123—21no—
236C2×#123—21no—
237C2×#123—21no—
238C2×C22⋊Q8—21no—
239C2×C22⋊Q8C2311yescharacteristic
240C2×C22⋊Q8C2311yescharacteristic
241C2×C22⋊Q8C2311yescharacteristic
242C2×C22⋊Q8C2311yescharacteristic
243C2×#121—21no—
244C2×#121—21no—
245C2×#121—21no—
246C2×#121—21no—
247C2×#121—21no—
248C2×#121—21no—
249C2×#121—21no—
250C2×#121—21no—
251C2×#121D411yescharacteristic
252C2×#121C2311yescharacteristic
253C2×#121C2311yescharacteristic
254C2×#121C2311yescharacteristic
255C2×#121C2311yescharacteristic
256C2×#121C2311yescharacteristic
257C2×#121C2311yescharacteristic
258C2×#121C2311yescharacteristic
259C2×#121C2311yescharacteristic
260C2×#120—21no—
261C2×#120—21no—
262C2×C4×D4—21no—
263C2×C4×D4—21no—
264C2×C4×D4C2311yescharacteristic
265C2×C4×D4C2311yescharacteristic
266C2×C4×D4C2311yescharacteristic
267C2×C4×D4C2311yescharacteristic
268C2×C4×D4C2311yescharacteristic
269C2×C4×D4C2311yescharacteristic
270C2×C4×D4C2311yescharacteristic
271C2×C4×D4C2311yescharacteristic
272C2×C4×D4C2311yescharacteristic
273C2×#117C2311yescharacteristic
274C22×C4⋊C4C2311yescharacteristic
275C22×C4⋊C4C2311yescharacteristic
276C22×C22⋊C4—21no—
277C22×C22⋊C4—21no—
278C22×C22⋊C4—21no—
279C22×C22⋊C4—21no—
280C22×C42C2311yescharacteristic
281#492—42no—
282#487—42no—
283#469—42no—
284#466—42no—
285#463—42no—
286#463—42no—
287#449—42no—
288#449—42no—
289#449—42no—
290#449—42no—
291#447—42no—
292#447—42no—
293#442—42no—
294C4×D8—42no—
295C2×#107C2311yescharacteristic
296C2×#107C2311yescharacteristic
297C2×#106C2311yescharacteristic
298C2×#106C2311yescharacteristic
299C2×C4⋊C8C2311yescharacteristic
300C2×C4⋊C8C2311yescharacteristic
301#417—42no—
302#416—42no—
303C2×#103C2311yescharacteristic
304C2×#103C2311yescharacteristic
305C2×#103C2311yescharacteristic
306C2×#103C2311yescharacteristic
307C2×#103C2311yescharacteristic
308C2×#103C2311yescharacteristic
309C2×#103C2311yescharacteristic
310C2×#103C2311yescharacteristic
311C2×#103C2311yescharacteristic
312C2×#103C2311yescharacteristic
313C2×#103C2311yescharacteristic
314C2×#103C2311yescharacteristic
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
330C2×#102C2311yescharacteristic
331C2×#102C2311yescharacteristic
332C2×#102C2311yescharacteristic
333C2×#102C2311yescharacteristic
334C2×#102C2311yescharacteristic
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×C22⋊C8C2311yescharacteristic
344C2×C22⋊C8C2311yescharacteristic
345C2×#97C2311yescharacteristic
346C2×C4×C8C2311yescharacteristic
347C2×C4×C8C2311yescharacteristic
348C2×C4×C8C2311yescharacteristic
349#398—21no—
350#398—21no—
351#398—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#396—21no—
363#396—21no—
364#396—21no—
365#396—21no—
366#395—21no—
367#394—21no—
368#394—21no—
369#394—21no—
370#394—21no—
371#394—21no—
372#394—21no—
373#394—21no—
374#394—21no—
375#394—21no—
376#394—21no—
377#394—21no—
378#394—21no—
379#394—21no—
380#394—21no—
381#393—21no—
382#392—21no—
383#392—21no—
384#392—21no—
385#392—21no—
386#392—21no—
387#392—21no—
388#392—21no—
389#391—21no—
390#391C2311yescharacteristic
391#391C2311yescharacteristic
392#391C2311yescharacteristic
393#391C2311yescharacteristic
394#390—21no—
395#390—21no—
396#390—21no—
397#390D411yescharacteristic
398#390C2311yescharacteristic
399#390C2311yescharacteristic
400#390C2311yescharacteristic
401#390C2311yescharacteristic
402#390C2311yescharacteristic
403#390C2311yescharacteristic
404#389—21no—
405#389—21no—
406#389D411yescharacteristic
407#389C2311yescharacteristic
408#389C2311yescharacteristic
409#389C2311yescharacteristic
410#389C2311yescharacteristic
411#389C2311yescharacteristic
412#389C2311yescharacteristic
413#388—21no—
414#388D411yescharacteristic
415#388D411yescharacteristic
416#387—21no—
417#387—21no—
418#387—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#386D411yescharacteristic
431#386D411yescharacteristic
432#385—21no—
433#385—21no—
434#385—21no—
435#385—21no—
436#385—21no—
437#385—21no—
438#385—21no—
439#385—21no—
440#385—21no—
441#385—21no—
442#385—21no—
443#385—21no—
444#385—21no—
445#385—21no—
446#385—21no—
447#385—21no—
448#385—21no—
449#384C2311yescharacteristic
450#384C2311yescharacteristic
451#382C2311yescharacteristic
452#382C2311yescharacteristic
453#381—21no—
454#381—21no—
455#380—21no—
456#380—21no—
457#380—21no—
458#380—21no—
459#380—21no—
460#380—21no—
461#380D411yescharacteristic
462#380C2311yescharacteristic
463#380C2311yescharacteristic
464#380C2311yescharacteristic
465#380C2311yescharacteristic
466#380C2311yescharacteristic
467#380C2311yescharacteristic
468C4×C4⋊C4C2311yescharacteristic
469C4×C22⋊C4C2311yescharacteristic
470C4×C22⋊C4C2311yescharacteristic
471C2×#95—21no—
472#340C2311yescharacteristic
473#340C2311yescharacteristic
474#340C2311yescharacteristic
475#340C2311yescharacteristic
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#336C2311yescharacteristic
493#336C2311yescharacteristic
494#336C2311yescharacteristic
495#336C2311yescharacteristic
496#336C2311yescharacteristic
497#336C2311yescharacteristic
498#336C2311yescharacteristic
499#336C2311yescharacteristic
500#336C2311yescharacteristic
501#336C2311yescharacteristic
502C25—21no—
503C2×#41—22no—
504C2×#41—22no—
505C2×#41—41no—
506C2×#41—41no—
507C2×#41—44no—
508C2×#41—41no—
509C2×#41—41no—
510C2×#41—41no—
511C2×#41—41no—
512C2×#41—41no—
513C2×#41—41no—
514C2×#41—41no—
515C2×#41—41no—
516C2×#41—82no—
517C2×#41—82no—
518C22×Q8—21no—
519C22×Q8C2411yescharacteristic
520C22×Q8C2411yescharacteristic
521C22×D4—22no—
522C22×D4—22no—
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×D4—21no—
532C22×D4—21no—
533C22×D4—21no—
534C22×D4—21no—
535C22×D4—21no—
536C22×D4—41no—
537C22×D4—41no—
538C22×D4—41no—
539C22×D4—41no—
540C22×D4C2×D411yescharacteristic
541C22×D4C2×D411yescharacteristic
542C22×D4C2×D411yescharacteristic
543C22×D4C2411yescharacteristic
544C22×D4C2411yescharacteristic
545C22×D4C2411yescharacteristic
546C22×D4C2411yescharacteristic
547C23×C4—21no—
548C23×C4—21no—
549C23×C4—21no—
550C23×C4—21no—
551C23×C4—21no—
552C23×C4—21no—
553C23×C4—21no—
554C23×C4—21no—
555C23×C4—21no—
556C23×C4—21no—
557C23×C4C2×D411yescharacteristic
558C23×C4C2×D411yescharacteristic
559C23×C4C2411yescharacteristic
560C23×C4C2411yescharacteristic
561C23×C4C2411yescharacteristic
562C2×SD16—22no—
563C2×SD16—22no—
564C2×SD16—41no—
565C2×SD16—41no—
566C2×SD16—41no—
567C2×SD16—41no—
568C2×SD16—41no—
569C2×SD16—41no—
570C2×SD16—41no—
571C2×SD16—41no—
572C2×SD16—41no—
573C2×SD16—41no—
574C2×D8—22no—
575C2×D8—22no—
576C2×D8—22no—
577C2×D8—22no—
578C2×D8—22no—
579C2×D8—22no—
580C2×D8—41no—
581C2×D8—41no—
582C2×D8—41no—
583C2×D8—41no—
584C2×D8—41no—
585C2×D8—41no—
586C2×M16—41no—
587C2×M16—41no—
588C2×M16—41no—
589C22×C8—41no—
590C22×C8—41no—
591C22×C8—41no—
592C22×C8C2411yescharacteristic
593C22×C8C2411yescharacteristic
594C22×C8C2411yescharacteristic
595C22×C8C2411yescharacteristic
596C22×C8C2411yescharacteristic
597C22×C8C2411yescharacteristic
598C22×C8C2411yescharacteristic
599C22×C8C2411yescharacteristic
600C4⋊Q8—22no—
601C4⋊Q8—41no—
602C4⋊Q8—41no—
603C4⋊Q8—41no—
604#127—22no—
605#127—41no—
606#126—44no—
607#125—41no—
608#125—41no—
609#124—22no—
610#124—22no—
611#124—41no—
612#124—41no—
613#124—44no—
614#123—44no—
615#123—44no—
616#123—44no—
617#123—82no—
618#123—82no—
619C22⋊Q8—41no—
620C22⋊Q8—41no—
621C22⋊Q8—41no—
622C22⋊Q8—41no—
623C22⋊Q8—41no—
624C22⋊Q8—41no—
625C22⋊Q8—41no—
626C22⋊Q8—41no—
627C22⋊Q8—82no—
628#121—22no—
629#121—22no—
630#121—22no—
631#121—22no—
632#121—22no—
633#121—22no—
634#121—42no—
635#121—44no—
636#121—44no—
637#121—44no—
638#121—41no—
639#121—41no—
640#121—41no—
641#121—41no—
642#121—41no—
643#121—41no—
644#121—44no—
645#121—44no—
646#121—41no—
647#121—41no—
648#121—41no—
649#121—41no—
650#121—82no—
651#121—82no—
652#121—82no—
653#120—44no—
654#120—44no—
655C4×D4—22no—
656C4×D4—22no—
657C4×D4—22no—
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—41no—
667C4×D4—41no—
668C4×D4—41no—
669C4×D4—41no—
670C4×D4—41no—
671C4×D4—41no—
672C4×D4—41no—
673C4×D4—44no—
674C4×D4—44no—
675#117—22no—
676#117—41no—
677C2×C4⋊C4—22no—
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—21no—
689C2×C4⋊C4—21no—
690C2×C4⋊C4—21no—
691C2×C4⋊C4—21no—
692C2×C4⋊C4—21no—
693C2×C4⋊C4—21no—
694C2×C4⋊C4—21no—
695C2×C4⋊C4—21no—
696C2×C4⋊C4—21no—
697C2×C4⋊C4—21no—
698C2×C4⋊C4—21no—
699C2×C4⋊C4—41no—
700C2×C4⋊C4—41no—
701C2×C4⋊C4—41no—
702C2×C4⋊C4C2×D411yescharacteristic
703C2×C4⋊C4C2×D411yescharacteristic
704C2×C4⋊C4C2×D411yescharacteristic
705C2×C4⋊C4C2×D411yescharacteristic
706C2×C4⋊C4C2×D411yescharacteristic
707C2×C4⋊C4C2411yescharacteristic
708C2×C4⋊C4C2411yescharacteristic
709C2×C4⋊C4C2411yescharacteristic
710C2×C4⋊C4C2411yescharacteristic
711C2×C4⋊C4C2411yescharacteristic
712C2×C4⋊C4C2411yescharacteristic
713C2×C4⋊C4C2411yescharacteristic
714C2×C4⋊C4C2411yescharacteristic
715C2×C4⋊C4C2411yescharacteristic
716C2×C4⋊C4C2411yescharacteristic
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⋊C4—21no—
748C2×C22⋊C4—21no—
749C2×C22⋊C4—21no—
750C2×C22⋊C4—21no—
751C2×C22⋊C4—21no—
752C2×C22⋊C4—21no—
753C2×C22⋊C4—21no—
754C2×C22⋊C4—21no—
755C2×C22⋊C4—21no—
756C2×C22⋊C4—21no—
757C2×C22⋊C4—21no—
758C2×C22⋊C4—44no—
759C2×C22⋊C4—44no—
760C2×C22⋊C4—44no—
761C2×C22⋊C4—82no—
762C2×C22⋊C4C2×D411yescharacteristic
763C2×C22⋊C4C2×D411yescharacteristic
764C2×C22⋊C4C2×D411yescharacteristic
765C2×C22⋊C4C2×D411yescharacteristic
766C2×C22⋊C4C2×D411yescharacteristic
767C2×C22⋊C4C2×D411yescharacteristic
768C2×C22⋊C4C2×D411yescharacteristic
769C2×C22⋊C4C2×D411yescharacteristic
770C2×C22⋊C4C2×D411yescharacteristic
771C2×C22⋊C4C2×D411yescharacteristic
772C2×C42—21no—
773C2×C42—41no—
774C2×C42—41no—
775C2×C42C2×D411yescharacteristic
776C2×C42C2×D411yescharacteristic
777C2×C42C2411yescharacteristic
778C2×C42C2411yescharacteristic
779C2×C42C2411yescharacteristic
780C2×C42C2411yescharacteristic
781#107—41no—
782#107—41no—
783#106—41no—
784#106—41no—
785C4⋊C8—41no—
786C4⋊C8—41no—
787#103—22no—
788#103—22no—
789#103—41no—
790#103—41no—
791#103—41no—
792#103—41no—
793#103—41no—
794#103—41no—
795#103—41no—
796#103—41no—
797#103—41no—
798#103—41no—
799#102—22no—
800#102—22no—
801#102—22no—
802#102—22no—
803#102—22no—
804#102—22no—
805#102—41no—
806#102—41no—
807#102—41no—
808#102—41no—
809#102—41no—
810#102—41no—
811#102—41no—
812#102—41no—
813#102—41no—
814#102—41no—
815#102—41no—
816#102—41no—
817#102—41no—
818#102—41no—
819C22⋊C8—41no—
820C22⋊C8—41no—
821C22⋊C8—41no—
822C22⋊C8—41no—
823C22⋊C8—41no—
824C22⋊C8—41no—
825C22⋊C8—41no—
826C22⋊C8—41no—
827C22⋊C8—41no—
828C22⋊C8—41no—
829#97—41no—
830C4×C8—41no—
831C4×C8—41no—
832C4×C8—41no—
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#95—21no—
850#95—21no—
851#95—21no—
852#95—21no—
853#95—21no—
854#95—21no—
855#95—21no—
856#95—21no—
857#95C2×D411yescharacteristic
858#95C2×D411yescharacteristic
859#95C2×D411yescharacteristic
860#95C2×D411yescharacteristic
861#95C2×D411yescharacteristic
862#95C2×D411yescharacteristic
863C24—24no—
864C24—21no—
865C24—21no—
866C24—21no—
867C24—21no—
868C24—42no—
869C24—42no—
870C24—81no—
871C24—81no—
872C24—81no—
873C24—81no—
874C24C22×D411yescharacteristic
875C24C22×D411yescharacteristic
876C24C22×D411yescharacteristic
877#41—44no—
878#41—44no—
879#41—82no—
880#41—82no—
881#41—82no—
882#41—82no—
883#41—82no—
884#41—82no—
885#41—816no—
886C2×Q8—21no—
887C2×Q8—21no—
888C2×Q8—21no—
889C2×Q8—21no—
890C2×Q8—21no—
891C2×Q8—21no—
892C2×Q8—21no—
893C2×Q8—21no—
894C2×Q8—21no—
895C2×Q8—21no—
896C2×Q8—21no—
897C2×Q8—21no—
898C2×Q8—42no—
899C2×Q8—42no—
900C2×Q8—81no—
901C2×D4—24no—
902C2×D4—22no—
903C2×D4—22no—
904C2×D4—21no—
905C2×D4—21no—
906C2×D4—21no—
907C2×D4—21no—
908C2×D4—21no—
909C2×D4—21no—
910C2×D4—21no—
911C2×D4—21no—
912C2×D4—21no—
913C2×D4—21no—
914C2×D4—21no—
915C2×D4—21no—
916C2×D4—21no—
917C2×D4—21no—
918C2×D4—21no—
919C2×D4—21no—
920C2×D4—21no—
921C2×D4—21no—
922C2×D4—21no—
923C2×D4—21no—
924C2×D4—21no—
925C2×D4—41no—
926C2×D4—41no—
927C2×D4—41no—
928C2×D4—41no—
929C2×D4—41no—
930C2×D4—41no—
931C2×D4—41no—
932C2×D4—42no—
933C2×D4—42no—
934C2×D4—42no—
935C2×D4—42no—
936C2×D4—42no—
937C2×D4—42no—
938C2×D4—42no—
939C2×D4—42no—
940C2×D4—42no—
941C2×D4—42no—
942C2×D4—42no—
943C2×D4—42no—
944C2×D4—42no—
945C2×D4—42no—
946C2×D4—42no—
947C2×D4—42no—
948C2×D4—81no—
949C2×D4—81no—
950C2×D4—81no—
951C2×D4—81no—
952C2×D4—82no—
953C2×D4—82no—
954C2×D4—82no—
955C2×D4—82no—
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×D4H(5,𝔽2)12yes—
975C2×D4H(5,𝔽2)12yes—
976C2×D4H(5,𝔽2)12yes—
977C22×C4—22no—
978C22×C4—21no—
979C22×C4—24no—
980C22×C4—22no—
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—22no—
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—41no—
1012C22×C4—41no—
1013C22×C4—41no—
1014C22×C4—42no—
1015C22×C4—42no—
1016C22×C4—42no—
1017C22×C4—42no—
1018C22×C4—42no—
1019C22×C4—42no—
1020C22×C4—42no—
1021C22×C4—42no—
1022C22×C4—81no—
1023C22×C4—81no—
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—81no—
1034C22×C4—81no—
1035C22×C4—81no—
1036C22×C4—81no—
1037C22×C4—81no—
1038C22×C4—81no—
1039C22×C4—81no—
1040C22×C4—81no—
1041C22×C4—81no—
1042C22×C4—81no—
1043C22×C4C22×D411yescharacteristic
1044C22×C4C22×D411yescharacteristic
1045C22×C4C22×D411yescharacteristic
1046C22×C4C22×D411yescharacteristic
1047C22×C4C22×D411yescharacteristic
1048C22×C4C22×D411yescharacteristic
1049C22×C4C22×D411yescharacteristic
1050C22×C4C22×D411yescharacteristic
1051C22×C4C22×D411yescharacteristic
1052C22×C4C22×D411yescharacteristic
1053C22×C4C22×D411yescharacteristic
1054C22×C4C2511yescharacteristic
1055SD16—82no—
1056SD16—82no—
1057SD16—82no—
1058SD16—82no—
1059D8—44no—
1060D8—44no—
1061D8—82no—
1062D8—82no—
1063M16—82no—
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—21no—
1083C2×C8—21no—
1084C2×C8—21no—
1085C2×C8—21no—
1086C2×C8—21no—
1087C2×C8—21no—
1088C2×C8—82no—
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—21no—
1107C4⋊C4—21no—
1108C4⋊C4—41no—
1109C4⋊C4—41no—
1110C4⋊C4—41no—
1111C4⋊C4—41no—
1112C4⋊C4—41no—
1113C4⋊C4—42no—
1114C4⋊C4—42no—
1115C4⋊C4—42no—
1116C4⋊C4—42no—
1117C4⋊C4—42no—
1118C4⋊C4—42no—
1119C4⋊C4—42no—
1120C4⋊C4—42no—
1121C4⋊C4—42no—
1122C4⋊C4—81no—
1123C4⋊C4—81no—
1124C4⋊C4—81no—
1125C4⋊C4—81no—
1126C4⋊C4—81no—
1127C4⋊C4—81no—
1128C4⋊C4—81no—
1129C4⋊C4—81no—
1130C4⋊C4—81no—
1131C4⋊C4—81no—
1132C4⋊C4—81no—
1133C4⋊C4—81no—
1134C4⋊C4H(5,𝔽2)12yes—
1135C22⋊C4—24no—
1136C22⋊C4—22no—
1137C22⋊C4—22no—
1138C22⋊C4—22no—
1139C22⋊C4—22no—
1140C22⋊C4—41no—
1141C22⋊C4—41no—
1142C22⋊C4—41no—
1143C22⋊C4—41no—
1144C22⋊C4—41no—
1145C22⋊C4—41no—
1146C22⋊C4—42no—
1147C22⋊C4—42no—
1148C22⋊C4—42no—
1149C22⋊C4—42no—
1150C22⋊C4—42no—
1151C22⋊C4—42no—
1152C22⋊C4—42no—
1153C22⋊C4—42no—
1154C22⋊C4—42no—
1155C22⋊C4—42no—
1156C22⋊C4—42no—
1157C22⋊C4—42no—
1158C22⋊C4—42no—
1159C22⋊C4—42no—
1160C22⋊C4—42no—
1161C22⋊C4—42no—
1162C22⋊C4—42no—
1163C22⋊C4—42no—
1164C22⋊C4—42no—
1165C22⋊C4—42no—
1166C22⋊C4—42no—
1167C22⋊C4—42no—
1168C22⋊C4—42no—
1169C22⋊C4—42no—
1170C22⋊C4—81no—
1171C22⋊C4—81no—
1172C22⋊C4—81no—
1173C22⋊C4—81no—
1174C22⋊C4—81no—
1175C22⋊C4—81no—
1176C22⋊C4—81no—
1177C22⋊C4—81no—
1178C22⋊C4—81no—
1179C22⋊C4—81no—
1180C22⋊C4—81no—
1181C22⋊C4—81no—
1182C22⋊C4—81no—
1183C22⋊C4—81no—
1184C22⋊C4—81no—
1185C22⋊C4—81no—
1186C42—21no—
1187C42—21no—
1188C42—21no—
1189C42—21no—
1190C42—21no—
1191C42—21no—
1192C42—21no—
1193C42—21no—
1194C42—41no—
1195C42—41no—
1196C42—42no—
1197C23—21no—
1198C23—21no—
1199C23—21no—
1200C23—21no—
1201C23—21no—
1202C23—21no—
1203C23—21no—
1204C23—21no—
1205C23—22no—
1206C23—22no—
1207C23—22no—
1208C23—21no—
1209C23—21no—
1210C23—21no—
1211C23—21no—
1212C23—21no—
1213C23—21no—
1214C23—21no—
1215C23—21no—
1216C23—21no—
1217C23—21no—
1218C23—21no—
1219C23—21no—
1220C23—48no—
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—41no—
1245C23—41no—
1246C23—84no—
1247C23—84no—
1248C23—162no—
1249C23—162no—
1250C23—162no—
1251C23—162no—
1252C23#57712yes—
1253C23C23×D411yescharacteristic
1254Q8—41no—
1255Q8—41no—
1256Q8—41no—
1257Q8—41no—
1258Q8—41no—
1259Q8—41no—
1260Q8—41no—
1261Q8—41no—
1262Q8—84no—
1263D4—22no—
1264D4—22no—
1265D4—22no—
1266D4—22no—
1267D4—22no—
1268D4—22no—
1269D4—41no—
1270D4—41no—
1271D4—41no—
1272D4—41no—
1273D4—41no—
1274D4—41no—
1275D4—41no—
1276D4—41no—
1277D4—41no—
1278D4—41no—
1279D4—84no—
1280D4—84no—
1281D4—82no—
1282D4—82no—
1283D4—84no—
1284D4—84no—
1285D4—82no—
1286D4—84no—
1287D4—84no—
1288D4—84no—
1289D4—84no—
1290D4—162no—
1291D4—162no—
1292D4—162no—
1293D4—162no—
1294D4—162no—
1295C2×C4—21no—
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—21no—
1305C2×C4—21no—
1306C2×C4—21no—
1307C2×C4—21no—
1308C2×C4—21no—
1309C2×C4—21no—
1310C2×C4—22no—
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—44no—
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—82no—
1376C2×C4—84no—
1377C2×C4—84no—
1378C2×C4—84no—
1379C2×C4—84no—
1380C2×C4—162no—
1381C2×C4—162no—
1382C2×C4—162no—
1383C2×C4—162no—
1384C2×C4—162no—
1385C2×C4—162no—
1386C2×C4#57512yes—
1387C2×C4#57612yes—
1388C2×C4C2×H(5,𝔽2)11yescharacteristic
1389C2×C4C2×H(5,𝔽2)11yescharacteristic
1390C2×C4C2×H(5,𝔽2)11yescharacteristic
1391C2×C4C2×H(5,𝔽2)11yescharacteristic
1392C2×C4#58511yescharacteristic
1393C2×C4#58511yescharacteristic
1394C8—41no—
1395C8—41no—
1396C8—41no—
1397C8—41no—
1398C8—41no—
1399C8—41no—
1400C8—41no—
1401C8—41no—
1402C22—22no—
1403C22—22no—
1404C22—22no—
1405C22—41no—
1406C22—41no—
1407C22—41no—
1408C22—41no—
1409C22—41no—
1410C22—41no—
1411C22—42no—
1412C22—42no—
1413C22—42no—
1414C22—41no—
1415C22—41no—
1416C22—41no—
1417C22—41no—
1418C22—41no—
1419C22—41no—
1420C22—42no—
1421C22—42no—
1422C22—41no—
1423C22—42no—
1424C22—41no—
1425C22—42no—
1426C22—41no—
1427C22—41no—
1428C22—42no—
1429C22—42no—
1430C22—41no—
1431C22—41no—
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—168no—
1452C22#348411yescharacteristic
1453C22#348411yescharacteristic
1454C22#350011yescharacteristic
1455C22C2×#57511yescharacteristic
1456C22C2×#57611yescharacteristic
1457C22C2×#57711yescharacteristic
1458C22#358411yescharacteristic
1459C4—22no—
1460C4—22no—
1461C4—41no—
1462C4—41no—
1463C4—41no—
1464C4—41no—
1465C4—41no—
1466C4—41no—
1467C4—41no—
1468C4—42no—
1469C4—41no—
1470C4—41no—
1471C4—81no—
1472C4—81no—
1473C4—81no—
1474C4—81no—
1475C4—81no—
1476C4—81no—
1477C4—81no—
1478C4—81no—
1479C4—81no—
1480C4—81no—
1481C4—81no—
1482C4#353411yescharacteristic
1483C4#353411yescharacteristic
1484C4#354211yescharacteristic
1485C4#354211yescharacteristic
1486C2—42no—
1487C2—81no—
1488C2—81no—
1489C2—82no—
1490C2—82no—
1491C2—82no—
1492C2—161no—
1493C2#4635411yescharacteristic
1494C2#6160411yescharacteristic
1495C2#6160611yescharacteristic
1496C2#6162911yescharacteristic
1497C2#6165711yescharacteristic
1498C2#6254611yescharacteristic
1499C2#6255711yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ C4×#121 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #39852C2semidirect
2. #39486C2semidirect
3. #32777C2semidirect
4. #31730C2semidirect
5. #31720C2semidirect
6. #31653C2semidirect
7. #31646C2semidirect
8. #31408C2semidirect
9. #31384C2semidirect
10. #31355C2semidirect
11. #31350C2semidirect
12. #30454C2semidirect
13. #30454C2semidirect
14. #30414C2semidirect
15. #30398C2semidirect
16. #29104C2semidirect
17. #27274C2semidirect
18. #27261C2semidirect
19. #26984C2semidirect
20. #26961C2semidirect
21. #26176C2semidirect
22. #26160C2semidirect
23. #25597C2semidirect
24. #24444C2semidirect
25. #24428C2semidirect
26. #24257C2semidirect
27. #24245C2semidirect
28. #23975C2semidirect
29. #23962C2semidirect
30. #23930C2semidirect
31. #22333C2semidirect
32. C2×#553C22semidirect
36. C2×#492C22semidirect
37. C2×#487C22semidirect
64. #2566C22semidirect
67. #2535C22semidirect
70. #2440C22semidirect
71. #2439C22semidirect
75. #2428C22semidirect
76. #2428C22semidirect
88. #2349C22semidirect
93. #2101C22semidirect
94. #2099C22semidirect
95. #2097C22semidirect
96. #2097C22semidirect
97. #2088C22semidirect
98. #2086C22semidirect
99. #2084C22semidirect
100. #2083C22semidirect
101. #2077C22semidirect
102. #2075C22semidirect
103. #2074C22semidirect
106. #2072C22semidirect
107. #2055C22semidirect
108. #2055C22semidirect
109. #2043C22semidirect
110. #2043C22semidirect
118. #2034C22semidirect
120. #2033C22semidirect
121. #2026C22semidirect
122. #2026C22semidirect
135. #2000C22semidirect
136. #2000C22semidirect
137. #2000C22semidirect
138. #2000C22semidirect
141. #1990C22semidirect
144. #1957C22semidirect
147. #1936C22semidirect
148. #1935C22semidirect
153. #1934C22semidirect
154. #1933C22semidirect
155. #1923C22semidirect
156. #1923C22semidirect
157. #1917C22semidirect
158. #1916C22semidirect
159. #1895C22semidirect
160. #1894C22semidirect
161. #1893C22semidirect
162. #1892C22semidirect
169. #1877C22semidirect
170. #1877C22semidirect
171. #1877C22semidirect
172. #1877C22semidirect
173. #1877C22semidirect
174. #1877C22semidirect
179. #1873C22semidirect
180. #1872C22semidirect
182. #1870C22semidirect
184. #1869C22semidirect
186. #1864C22semidirect
188. #1862C22semidirect
189. #1825C22semidirect
192. #1823C22semidirect
200. #1753C22semidirect
201. C8×C22⋊C4C22semidirect

Maximal subgroups

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

subgroupindex
#398522
#394862
#327772
#317302
#317202
#316532
#316462
#314082
#313842
#313552
#313502
#304542
#304142
#303982
#291042
#272742
#272612
#269842
#269612
#261762
#261602
#255972
#244442
#244282
#242572
#242452
#239752
#239622
#239302
#223332