Finite Group Databasebeta

← #6711151

Subgroups — #6711151

Order 512.

1992 conjugacy classes of subgroups.

The subgroup lattice has 1483 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#39166C211yesmaximal, characteristic, complemented
2#36440C211yesmaximal, characteristic, complemented
3#32908C211yesmaximal, characteristic, complemented
4#31648C211yesmaximal, characteristic, complemented
5#31639C211yesmaximal, characteristic, complemented
6#31559C211yesmaximal, characteristic, complemented
7#31553C211yesmaximal, characteristic, complemented
8#30994C211yesmaximal, characteristic, complemented
9#30987C211yesmaximal, characteristic, complemented
10#30403C211yesmaximal, characteristic, complemented
11#30398C211yesmaximal, characteristic, complemented
12#30186C211yesmaximal, characteristic, complemented
13#29957C211yesmaximal, characteristic, complemented
14#27204C211yesmaximal, characteristic, complemented
15#27201C211yesmaximal, characteristic, complemented
16#26670C211yesmaximal, characteristic, complemented
17#26659C211yesmaximal, characteristic, complemented
18#26210C211yesmaximal, characteristic, complemented
19#26202C211yesmaximal, characteristic, complemented
20#25112C211yesmaximal, characteristic, complemented
21#25108C211yesmaximal, characteristic, complemented
22#25090C211yesmaximal, characteristic, complemented
23#25085C211yesmaximal, characteristic, complemented
24#23964C211yesmaximal, characteristic, complemented
25#23962C211yesmaximal, characteristic, complemented
26#23858C211yesmaximal, characteristic, complemented
27#23855C211yesmaximal, characteristic, complemented
28#22416C211yesmaximal, characteristic, complemented
29D4×#103C211yesmaximal, characteristic, complemented
30#22168C211yesmaximal, characteristic, complemented
31C2×#1877C211yesmaximal, characteristic, complemented
32C23×SD16C2211yescharacteristic
33C2×#553C2211yescharacteristic
34C2×D4×Q8C2211yescharacteristic
35C2×#548C2211yescharacteristic
36C22×C4×D4C2211yescharacteristic
37C2×#466C2211yescharacteristic
38C2×#465C2211yescharacteristic
39C2×#463C2211yescharacteristic
40C2×#463C2211yescharacteristic
41C2×#449C2211yescharacteristic
42C2×#449C2211yescharacteristic
43C2×#448C2211yescharacteristic
44C2×#448C2211yescharacteristic
45C2×#450C2211yescharacteristic
46C2×#447C2211yescharacteristic
47C2×C8×D4C2211yescharacteristic
48C2×C8×D4C2211yescharacteristic
49C2×#416C2211yescharacteristic, complemented
50C22×#103C2211yescharacteristic
51C22×#103C2211yescharacteristic, complemented
52C22×#102C2211yescharacteristic
53#2851C2211yescharacteristic
54#2850C2211yescharacteristic
55#2849—21no—
56#2731—21no—
57#2730—21no—
58#2729—21no—
59#2728—21no—
60#2639—21no—
61#2602—21no—
62#2600—21no—
63#2566C2211yescharacteristic
64#2564—21no—
65#2543—21no—
66#2535C2211yescharacteristic
67#2480—21no—
68#2466—21no—
69#2456—21no—
70#2448C2211yescharacteristic, complemented
71#2446C2211yescharacteristic, complemented
72#2436C2211yescharacteristic, complemented
73#2432C2211yescharacteristic, complemented
74#2424—21no—
75#2422C2211yescharacteristic
76#2421C2211yescharacteristic, complemented
77#2421C2211yescharacteristic, complemented
78#2420C2211yescharacteristic
79#2417C2211yescharacteristic
80#2416C2211yescharacteristic
81#2409C2211yescharacteristic, complemented
82#2408C2211yescharacteristic
83#2408C2211yescharacteristic
84#2407C2211yescharacteristic, complemented
85#2363C2211yescharacteristic
86#2361C2211yescharacteristic
87#2357C2211yescharacteristic
88#2352C2211yescharacteristic
89D4×C4⋊C4C2211yescharacteristic
90#2325—21no—
91C4×#121C2211yescharacteristic
92C4×#120—21no—
93C2×#391C2211yescharacteristic
94#2101C2211yescharacteristic, complemented
95#2101C2211yescharacteristic, complemented
96#2101C2211yescharacteristic, complemented
97#2100C2211yescharacteristic, complemented
98#2097C2211yescharacteristic, complemented
99#2097C2211yescharacteristic, complemented
100#2077C2211yescharacteristic, complemented
101#2075C2211yescharacteristic, complemented
102#2074C2211yescharacteristic, complemented
103#2074C2211yescharacteristic, complemented
104#2073C2211yescharacteristic, complemented
105#2071C2211yescharacteristic, complemented
106#2068C2211yescharacteristic, complemented
107#2068C2211yescharacteristic, complemented
108#2067C2211yescharacteristic
109#2066C2211yescharacteristic, complemented
110#2066C2211yescharacteristic, complemented
111#2065C2211yescharacteristic
112#2055C2211yescharacteristic
113#2054C2211yescharacteristic
114#2042C2211yescharacteristic, complemented
115#2042C2211yescharacteristic, complemented
116#2036C2211yescharacteristic, complemented
117#2034C2211yescharacteristic
118#2034C2211yescharacteristic, complemented
119#2033C2211yescharacteristic
120#2026C2211yescharacteristic, complemented
121#2026C2211yescharacteristic, complemented
122#2026C2211yescharacteristic, complemented
123#2025C2211yescharacteristic, complemented
124#2013C2211yescharacteristic
125#2013C2211yescharacteristic
126#2012C2211yescharacteristic
127#2012C2211yescharacteristic
128#2000C2211yescharacteristic
129#2000C2211yescharacteristic
130#2000C2211yescharacteristic
131#2000C2211yescharacteristic
132#2000C2211yescharacteristic
133#1999C2211yescharacteristic
134#1983C2211yescharacteristic, complemented
135#1981C2211yescharacteristic, complemented
136#1970C2211yescharacteristic
137#1968C2211yescharacteristic
138#1958C2211yescharacteristic, complemented
139#1956C2211yescharacteristic, complemented
140#1934C2211yescharacteristic
141#1934C2211yescharacteristic
142#1928C2211yescharacteristic, complemented
143#1926C2211yescharacteristic, complemented
144#1923C2211yescharacteristic, complemented
145#1923C2211yescharacteristic, complemented
146#1919C2211yescharacteristic, complemented
147#1918C2211yescharacteristic, complemented
148#1916C2211yescharacteristic, complemented
149#1916C2211yescharacteristic, complemented
150#1893C2211yescharacteristic
151#1893C2211yescharacteristic
152#1893C2211yescharacteristic
153#1893C2211yescharacteristic
154#1892C2211yescharacteristic
155#1892C2211yescharacteristic
156#1892C2211yescharacteristic, complemented
157#1892C2211yescharacteristic, complemented
158#1880C2211yescharacteristic
159#1880C2211yescharacteristic
160#1880C2211yescharacteristic
161#1880C2211yescharacteristic
162#1879C2211yescharacteristic
163#1879C2211yescharacteristic
164#1877C2211yescharacteristic
165#1877C2211yescharacteristic
166#1877C2211yescharacteristic
167#1877C2211yescharacteristic
168#1877C2211yescharacteristic
169#1877C2211yescharacteristic
170#1877C2211yescharacteristic
171#1877C2211yescharacteristic
172#1877C2211yescharacteristic
173#1877C2211yescharacteristic
174#1874C2211yescharacteristic
175#1874C2211yescharacteristic, complemented
176#1873C2211yescharacteristic, complemented
177#1873C2211yescharacteristic, complemented
178#1872C2211yescharacteristic
179#1872C2211yescharacteristic, complemented
180#1869C2211yescharacteristic
181#1869C2211yescharacteristic
182#1869C2211yescharacteristic, complemented
183#1869C2211yescharacteristic, complemented
184#1853C2211yescharacteristic
185#1852C2211yescharacteristic
186#1850C2211yescharacteristic, complemented
187#1850C2211yescharacteristic, complemented
188#1825C2211yescharacteristic, complemented
189#1824C2211yescharacteristic, complemented
190#1805C2211yescharacteristic, complemented
191#1804C2211yescharacteristic
192#1804C2211yescharacteristic
193#1803C2211yescharacteristic, complemented
194#1797C2211yescharacteristic
195#1788C2211yescharacteristic, complemented
196#1787C2211yescharacteristic
197#1787C2211yescharacteristic
198#1787C2211yescharacteristic, complemented
199C4×#103C2211yescharacteristic, complemented
200C4×#103C2211yescharacteristic, complemented
201C2×#340C2211yescharacteristic
202C2×#336C2211yescharacteristic
203C22×#41C2311yescharacteristic
204C23×Q8C2311yescharacteristic
205C23×Q8C2311yescharacteristic
206C23×D4C2311yescharacteristic
207C24×C4—21no—
208C22×SD16—24no—
209C22×SD16—42no—
210C22×SD16—42no—
211C22×SD16C2311yescharacteristic
212C22×SD16C2311yescharacteristic
213C22×SD16C2311yescharacteristic
214C22×SD16C2311yescharacteristic
215C22×SD16C2311yescharacteristic
216C22×SD16C2311yescharacteristic
217C22×D8C2311yescharacteristic
218C22×D8C2311yescharacteristic
219C23×C8C2311yescharacteristic
220C23×C8C2311yescharacteristic
221C23×C8C2311yescharacteristic
222C23×C8C2311yescharacteristic
223#553—42no—
224#553—42no—
225D4×Q8—24no—
226D4×Q8—42no—
227#548—24no—
228#548—42no—
229C2×C4⋊Q8—21no—
230C2×C4⋊Q8C2311yescharacteristic
231C2×#126—21no—
232C2×#125C2311yescharacteristic
233C2×#124—21no—
234C2×#124C2311yescharacteristic
235C2×#124C2311yescharacteristic
236C2×#123—21no—
237C2×#123—21no—
238C2×C22⋊Q8—21no—
239C2×C22⋊Q8—21no—
240C2×C22⋊Q8—21no—
241C2×C22⋊Q8C2311yescharacteristic
242C2×C22⋊Q8C2311yescharacteristic
243C2×C22⋊Q8C2311yescharacteristic
244C2×C22⋊Q8C2311yescharacteristic
245C2×#121—21no—
246C2×#121—21no—
247C2×#121—21no—
248C2×#121D411yescharacteristic
249C2×#121C2311yescharacteristic
250C2×#121C2311yescharacteristic
251C2×#121C2311yescharacteristic
252C2×#121C2311yescharacteristic
253C2×#121C2311yescharacteristic
254C2×#121C2311yescharacteristic
255C2×#120—21no—
256C2×#120—21no—
257C2×C4×Q8C2311yescharacteristic
258C2×C4×Q8C2311yescharacteristic
259C2×C4×D4—21no—
260C2×C4×D4—21no—
261C2×C4×D4—21no—
262C2×C4×D4—21no—
263C2×C4×D4—21no—
264C2×C4×D4—21no—
265C2×C4×D4—21no—
266C2×C4×D4—42no—
267C2×C4×D4—42no—
268C2×C4×D4C2311yescharacteristic
269C2×C4×D4C2311yescharacteristic
270C2×C4×D4C2311yescharacteristic
271C2×C4×D4C2311yescharacteristic
272C2×C4×D4C2311yescharacteristic
273C2×C4×D4C2311yescharacteristic
274C2×C4×D4C2311yescharacteristic
275C2×#117C2311yescharacteristic
276C22×C4⋊C4C2311yescharacteristic
277C22×C4⋊C4C2311yescharacteristic
278C22×C4⋊C4C2311yescharacteristic
279C22×C22⋊C4—21no—
280C22×C42C2311yescharacteristic
281#466—42no—
282#465—42no—
283#463—42no—
284#463—42no—
285#450—42no—
286#449—42no—
287#449—42no—
288#448—42no—
289#448—42no—
290#447—42no—
291C8×D4—42no—
292C8×D4—42no—
293C2×#107C2311yescharacteristic
294C2×#107C2311yescharacteristic
295C2×#106C2311yescharacteristic
296C2×#106C2311yescharacteristic
297C2×C4⋊C8C2311yescharacteristic
298C2×C4⋊C8C2311yescharacteristic
299C2×C4⋊C8C2311yescharacteristic
300C2×C4⋊C8C2311yescharacteristic
301#416—42no—
302C2×#103—42no—
303C2×#103—42no—
304C2×#103C2311yescharacteristic
305C2×#103C2311yescharacteristic
306C2×#103C2311yescharacteristic
307C2×#103C2311yescharacteristic
308C2×#103C2311yescharacteristic
309C2×#103C2311yescharacteristic
310C2×#103C2311yescharacteristic
311C2×#103C2311yescharacteristic
312C2×#103C2311yescharacteristic
313C2×#103C2311yescharacteristic
314C2×#103C2311yescharacteristic
315C2×#103C2311yescharacteristic
316C2×#103C2311yescharacteristic
317C2×#103C2311yescharacteristic
318C2×#103C2311yescharacteristic
319C2×#103C2311yescharacteristic
320C2×#103C2311yescharacteristic
321C2×#103C2311yescharacteristic
322C2×#102—42no—
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×#102C2311yescharacteristic
336C2×#102C2311yescharacteristic
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×C4×C8C2311yescharacteristic
346C2×C4×C8C2311yescharacteristic
347#400—21no—
348#400—21no—
349#400—21no—
350#399—21no—
351#398—21no—
352#398—21no—
353#397—21no—
354#397—21no—
355#397—21no—
356#397—21no—
357#397—21no—
358#397—21no—
359#396—21no—
360#396—21no—
361#396—21no—
362#396—21no—
363#395—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#393—21no—
373#393—21no—
374#393—21no—
375#392—21no—
376#392—21no—
377#392—21no—
378#392—21no—
379#391—21no—
380#391—21no—
381#391C2311yescharacteristic
382#391C2311yescharacteristic
383#391C2311yescharacteristic
384#391C2311yescharacteristic
385#391C2311yescharacteristic
386#391C2311yescharacteristic
387#390—21no—
388#390D411yescharacteristic
389#390C2311yescharacteristic
390#390C2311yescharacteristic
391#390C2311yescharacteristic
392#390C2311yescharacteristic
393#390C2311yescharacteristic
394#390C2311yescharacteristic
395#389—21no—
396#389D411yescharacteristic
397#389C2311yescharacteristic
398#389C2311yescharacteristic
399#389C2311yescharacteristic
400#389C2311yescharacteristic
401#388—21no—
402#388—21no—
403#388—21no—
404#388—21no—
405#388—21no—
406#388—21no—
407#388—21no—
408#388—21no—
409#388—21no—
410#388—21no—
411#388—21no—
412#388D411yescharacteristic
413#388D411yescharacteristic
414#387—21no—
415#387—21no—
416#387—21no—
417#387—21no—
418#387—21no—
419#387—21no—
420#387—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#386D411yescharacteristic
436#386D411yescharacteristic
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#382C2311yescharacteristic
451#382C2311yescharacteristic
452#382C2311yescharacteristic
453#381—21no—
454#381—21no—
455#380—21no—
456#380D411yescharacteristic
457#380C2311yescharacteristic
458#380C2311yescharacteristic
459#380C2311yescharacteristic
460#380C2311yescharacteristic
461#380C2311yescharacteristic
462#380C2311yescharacteristic
463#379—21no—
464#379—21no—
465C4×C4⋊C4C2311yescharacteristic
466C4×C4⋊C4C2311yescharacteristic
467C4×C4⋊C4C2311yescharacteristic
468C4×C22⋊C4—21no—
469C4×C22⋊C4—21no—
470C4×C22⋊C4—21no—
471C4×C22⋊C4C2311yescharacteristic
472C4×C22⋊C4C2311yescharacteristic
473C2×#95—21no—
474C2×#95—21no—
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#340C2311yescharacteristic
493#340C2311yescharacteristic
494#340C2311yescharacteristic
495#336C2311yescharacteristic
496#336C2311yescharacteristic
497#336C2311yescharacteristic
498#336C2311yescharacteristic
499#336C2311yescharacteristic
500#336C2311yescharacteristic
501#336C2311yescharacteristic
502#336C2311yescharacteristic
503#336C2311yescharacteristic
504#336C2311yescharacteristic
505C25—21no—
506C2×#41—22no—
507C2×#41—41no—
508C2×#41—41no—
509C2×#41—41no—
510C2×#41—41no—
511C2×#41—41no—
512C22×Q8—21no—
513C22×Q8—21no—
514C22×Q8—22no—
515C22×Q8—22no—
516C22×Q8—41no—
517C22×Q8—41no—
518C22×Q8—41no—
519C22×Q8—41no—
520C22×Q8—41no—
521C22×Q8—41no—
522C22×Q8—41no—
523C22×Q8—41no—
524C22×Q8—41no—
525C22×Q8#4114yes—
526C22×Q8C2411yescharacteristic
527C22×Q8C2411yescharacteristic
528C22×Q8C2411yescharacteristic
529C22×D4—22no—
530C22×D4—22no—
531C22×D4—21no—
532C22×D4—21no—
533C22×D4—21no—
534C22×D4—21no—
535C22×D4—21no—
536C22×D4—21no—
537C22×D4—21no—
538C22×D4—21no—
539C22×D4—22no—
540C22×D4—22no—
541C22×D4—41no—
542C22×D4—41no—
543C22×D4C2×D411yescharacteristic
544C22×D4C2×D411yescharacteristic
545C22×D4C2×D411yescharacteristic
546C22×D4C2411yescharacteristic
547C22×D4C2411yescharacteristic
548C22×D4C2411yescharacteristic
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×C4—21no—
558C23×C4—21no—
559C23×C4—44no—
560C23×C4—82no—
561C23×C4—82no—
562C23×C4C2×D411yescharacteristic
563C23×C4C2×D411yescharacteristic
564C23×C4C2411yescharacteristic
565C23×C4C2411yescharacteristic
566C23×C4C2411yescharacteristic
567C2×SD16—22no—
568C2×SD16—22no—
569C2×SD16—22no—
570C2×SD16—22no—
571C2×SD16—22no—
572C2×SD16—22no—
573C2×SD16—22no—
574C2×SD16—22no—
575C2×SD16—22no—
576C2×SD16—22no—
577C2×SD16—41no—
578C2×SD16—41no—
579C2×SD16—41no—
580C2×SD16—41no—
581C2×SD16—41no—
582C2×SD16—41no—
583C2×SD16—41no—
584C2×SD16—41no—
585C2×SD16—416no—
586C2×D8—22no—
587C2×D8—22no—
588C2×D8—41no—
589C2×D8—41no—
590C2×D8—41no—
591C2×D8—41no—
592C22×C8—22no—
593C22×C8—22no—
594C22×C8—41no—
595C22×C8—41no—
596C22×C8—41no—
597C22×C8—41no—
598C22×C8—41no—
599C22×C8—41no—
600C22×C8—41no—
601C22×C8—41no—
602C22×C8—41no—
603C22×C8—41no—
604C22×C8C2411yescharacteristic
605C22×C8C2411yescharacteristic
606C22×C8C2411yescharacteristic
607C22×C8C2411yescharacteristic
608C22×C8C2411yescharacteristic
609C22×C8C2411yescharacteristic
610C22×C8C2411yescharacteristic
611C22×C8C2411yescharacteristic
612C4⋊Q8—22no—
613C4⋊Q8—41no—
614C4⋊Q8—44no—
615#126—44no—
616#125—41no—
617#125—41no—
618#124—22no—
619#124—41no—
620#124—41no—
621#124—41no—
622#124—44no—
623#123—44no—
624#123—82no—
625C22⋊Q8—22no—
626C22⋊Q8—22no—
627C22⋊Q8—22no—
628C22⋊Q8—22no—
629C22⋊Q8—44no—
630C22⋊Q8—44no—
631C22⋊Q8—41no—
632C22⋊Q8—41no—
633C22⋊Q8—44no—
634C22⋊Q8—41no—
635C22⋊Q8—41no—
636#121—24no—
637#121—22no—
638#121—22no—
639#121—22no—
640#121—22no—
641#121—22no—
642#121—22no—
643#121—44no—
644#121—41no—
645#121—41no—
646#121—41no—
647#121—41no—
648#121—44no—
649#121—44no—
650#121—41no—
651#121—41no—
652#120—44no—
653#120—82no—
654C4×Q8—22no—
655C4×Q8—22no—
656C4×Q8—41no—
657C4×Q8—41no—
658C4×D4—22no—
659C4×D4—22no—
660C4×D4—22no—
661C4×D4—22no—
662C4×D4—22no—
663C4×D4—22no—
664C4×D4—22no—
665C4×D4—22no—
666C4×D4—41no—
667C4×D4—41no—
668C4×D4—41no—
669C4×D4—41no—
670C4×D4—41no—
671C4×D4—41no—
672C4×D4—44no—
673C4×D4—44no—
674C4×D4—44no—
675C4×D4—44no—
676C4×D4—44no—
677C4×D4—82no—
678C4×D4—82no—
679#117—22no—
680#117—41no—
681C2×C4⋊C4—22no—
682C2×C4⋊C4—22no—
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—21no—
700C2×C4⋊C4—21no—
701C2×C4⋊C4—21no—
702C2×C4⋊C4—41no—
703C2×C4⋊C4—41no—
704C2×C4⋊C4—41no—
705C2×C4⋊C4—41no—
706C2×C4⋊C4C2×D411yescharacteristic
707C2×C4⋊C4C2×D411yescharacteristic
708C2×C4⋊C4C2×D411yescharacteristic
709C2×C4⋊C4C2×D411yescharacteristic
710C2×C4⋊C4C2×D411yescharacteristic
711C2×C4⋊C4C2411yescharacteristic
712C2×C4⋊C4C2411yescharacteristic
713C2×C4⋊C4C2411yescharacteristic
714C2×C4⋊C4C2411yescharacteristic
715C2×C4⋊C4C2411yescharacteristic
716C2×C4⋊C4C2411yescharacteristic
717C2×C4⋊C4C2411yescharacteristic
718C2×C4⋊C4C2411yescharacteristic
719C2×C4⋊C4C2411yescharacteristic
720C2×C4⋊C4C2411yescharacteristic
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⋊C4C2×D411yescharacteristic
760C2×C22⋊C4C2×D411yescharacteristic
761C2×C22⋊C4C2×D411yescharacteristic
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×C42—21no—
770C2×C42—21no—
771C2×C42—21no—
772C2×C42—21no—
773C2×C42—21no—
774C2×C42—41no—
775C2×C42—41no—
776C2×C42C2×D411yescharacteristic
777C2×C42C2×D411yescharacteristic
778C2×C42C2411yescharacteristic
779C2×C42C2411yescharacteristic
780C2×C42C2411yescharacteristic
781C2×C42C2411yescharacteristic
782#107—41no—
783#107—41no—
784#106—41no—
785#106—41no—
786C4⋊C8—41no—
787C4⋊C8—41no—
788C4⋊C8—41no—
789C4⋊C8—41no—
790#103—22no—
791#103—22no—
792#103—22no—
793#103—41no—
794#103—41no—
795#103—41no—
796#103—41no—
797#103—41no—
798#103—41no—
799#103—41no—
800#103—41no—
801#103—41no—
802#103—41no—
803#103—41no—
804#103—41no—
805#103—41no—
806#103—41no—
807#103—41no—
808#102—22no—
809#102—22no—
810#102—22no—
811#102—41no—
812#102—41no—
813#102—41no—
814#102—41no—
815#102—41no—
816#102—41no—
817#102—41no—
818#102—41no—
819#102—41no—
820#102—41no—
821#102—41no—
822C22⋊C8—22no—
823C22⋊C8—22no—
824C22⋊C8—41no—
825C22⋊C8—41no—
826C22⋊C8—41no—
827C22⋊C8—41no—
828C22⋊C8—41no—
829C22⋊C8—41no—
830C4×C8—41no—
831C4×C8—41no—
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#95—21no—
850#95—21no—
851#95—21no—
852#95—21no—
853#95—21no—
854#95—21no—
855#95—21no—
856#95—21no—
857#95—21no—
858#95—21no—
859#95—21no—
860#95—21no—
861#95—21no—
862#95C2×D411yescharacteristic
863#95C2×D411yescharacteristic
864#95C2×D411yescharacteristic
865#95C2×D411yescharacteristic
866#95C2×D411yescharacteristic
867#95C2×D411yescharacteristic
868C24—21no—
869C24—21no—
870C24—21no—
871C24—42no—
872C24—42no—
873C24—42no—
874C24—42no—
875C24—42no—
876C24—81no—
877C24—81no—
878C24C22×D411yescharacteristic
879C24C22×D411yescharacteristic
880C24C22×D411yescharacteristic
881#41—44no—
882#41—82no—
883#41—82no—
884#41—82no—
885C2×Q8—24no—
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—21no—
899C2×Q8—21no—
900C2×Q8—21no—
901C2×Q8—21no—
902C2×Q8—42no—
903C2×Q8—44no—
904C2×Q8—44no—
905C2×Q8—44no—
906C2×Q8—81no—
907C2×Q8—81no—
908C2×Q8—81no—
909C2×Q8—81no—
910C2×Q8—82no—
911C2×Q8—82no—
912C2×Q8—82no—
913C2×Q8—82no—
914C2×Q8—82no—
915C2×Q8C2×#4112yes—
916C2×Q8C2×#4112yes—
917C2×D4—22no—
918C2×D4—22no—
919C2×D4—28no—
920C2×D4—22no—
921C2×D4—22no—
922C2×D4—22no—
923C2×D4—22no—
924C2×D4—21no—
925C2×D4—21no—
926C2×D4—21no—
927C2×D4—21no—
928C2×D4—21no—
929C2×D4—21no—
930C2×D4—21no—
931C2×D4—21no—
932C2×D4—21no—
933C2×D4—21no—
934C2×D4—21no—
935C2×D4—21no—
936C2×D4—21no—
937C2×D4—21no—
938C2×D4—21no—
939C2×D4—21no—
940C2×D4—44no—
941C2×D4—44no—
942C2×D4—42no—
943C2×D4—42no—
944C2×D4—44no—
945C2×D4—41no—
946C2×D4—41no—
947C2×D4—42no—
948C2×D4—42no—
949C2×D4—42no—
950C2×D4—42no—
951C2×D4—42no—
952C2×D4—42no—
953C2×D4—42no—
954C2×D4—42no—
955C2×D4—42no—
956C2×D4—42no—
957C2×D4—42no—
958C2×D4—42no—
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#13514yes—
970C2×D4H(5,𝔽2)12yes—
971C2×D4H(5,𝔽2)12yes—
972C22×C4—21no—
973C22×C4—21no—
974C22×C4—21no—
975C22×C4—21no—
976C22×C4—22no—
977C22×C4—21no—
978C22×C4—21no—
979C22×C4—21no—
980C22×C4—24no—
981C22×C4—24no—
982C22×C4—22no—
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—41no—
1006C22×C4—41no—
1007C22×C4—41no—
1008C22×C4—41no—
1009C22×C4—42no—
1010C22×C4—42no—
1011C22×C4—42no—
1012C22×C4—42no—
1013C22×C4—42no—
1014C22×C4—42no—
1015C22×C4—42no—
1016C22×C4—42no—
1017C22×C4—42no—
1018C22×C4—42no—
1019C22×C4—42no—
1020C22×C4—81no—
1021C22×C4—81no—
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—816no—
1038C22×C4C22×D411yescharacteristic
1039C22×C4C22×D411yescharacteristic
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×C4C2×#4112yes—
1050C22×C4H(5,𝔽2)12yes—
1051C22×C4C2511yescharacteristic
1052SD16—44no—
1053SD16—44no—
1054SD16—44no—
1055SD16—44no—
1056SD16—82no—
1057SD16—82no—
1058D8—82no—
1059D8—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—21no—
1083C2×C8—21no—
1084C2×C8—44no—
1085C2×C8—82no—
1086C2×C8—82no—
1087C2×C8—82no—
1088C4⋊C4—22no—
1089C4⋊C4—22no—
1090C4⋊C4—22no—
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—21no—
1109C4⋊C4—21no—
1110C4⋊C4—41no—
1111C4⋊C4—41no—
1112C4⋊C4—42no—
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—42no—
1123C4⋊C4—42no—
1124C4⋊C4—42no—
1125C4⋊C4—81no—
1126C4⋊C4—81no—
1127C4⋊C4—81no—
1128C4⋊C4—81no—
1129C4⋊C4—81no—
1130C4⋊C4—81no—
1131C4⋊C4H(5,𝔽2)12yes—
1132C22⋊C4—24no—
1133C22⋊C4—22no—
1134C22⋊C4—22no—
1135C22⋊C4—22no—
1136C22⋊C4—22no—
1137C22⋊C4—22no—
1138C22⋊C4—22no—
1139C22⋊C4—41no—
1140C22⋊C4—41no—
1141C22⋊C4—41no—
1142C22⋊C4—41no—
1143C22⋊C4—42no—
1144C22⋊C4—42no—
1145C22⋊C4—42no—
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—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—
1177C22⋊C4—81no—
1178C22⋊C4—81no—
1179C42—21no—
1180C42—21no—
1181C42—21no—
1182C42—21no—
1183C42—21no—
1184C42—21no—
1185C42—21no—
1186C42—21no—
1187C42—41no—
1188C42—41no—
1189C42—42no—
1190C42—42no—
1191C42—42no—
1192C42—81no—
1193C42—81no—
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—22no—
1208C23—21no—
1209C23—22no—
1210C23—21no—
1211C23—21no—
1212C23—21no—
1213C23—48no—
1214C23—41no—
1215C23—41no—
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—84no—
1234C23—84no—
1235C23—84no—
1236C23—84no—
1237C23—84no—
1238C23—84no—
1239C23#54612yes—
1240C23C2×#13512yes—
1241C23C2×#13512yes—
1242C23#57712yes—
1243C23C23×D411yescharacteristic
1244Q8—22no—
1245Q8—22no—
1246Q8—22no—
1247Q8—22no—
1248Q8—41no—
1249Q8—41no—
1250Q8—41no—
1251Q8—41no—
1252Q8—41no—
1253Q8—41no—
1254Q8—41no—
1255Q8—41no—
1256Q8—84no—
1257Q8—84no—
1258D4—28no—
1259D4—22no—
1260D4—22no—
1261D4—22no—
1262D4—22no—
1263D4—48no—
1264D4—44no—
1265D4—41no—
1266D4—41no—
1267D4—41no—
1268D4—41no—
1269D4—41no—
1270D4—41no—
1271D4—41no—
1272D4—41no—
1273D4—82no—
1274D4—84no—
1275D4—84no—
1276D4—84no—
1277D4—84no—
1278D4—162no—
1279D4—162no—
1280D4—162no—
1281C2×C4—21no—
1282C2×C4—21no—
1283C2×C4—21no—
1284C2×C4—21no—
1285C2×C4—22no—
1286C2×C4—22no—
1287C2×C4—22no—
1288C2×C4—22no—
1289C2×C4—21no—
1290C2×C4—21no—
1291C2×C4—21no—
1292C2×C4—21no—
1293C2×C4—21no—
1294C2×C4—21no—
1295C2×C4—21no—
1296C2×C4—21no—
1297C2×C4—21no—
1298C2×C4—21no—
1299C2×C4—21no—
1300C2×C4—22no—
1301C2×C4—22no—
1302C2×C4—21no—
1303C2×C4—21no—
1304C2×C4—21no—
1305C2×C4—21no—
1306C2×C4—21no—
1307C2×C4—21no—
1308C2×C4—21no—
1309C2×C4—22no—
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—44no—
1320C2×C4—41no—
1321C2×C4—41no—
1322C2×C4—41no—
1323C2×C4—41no—
1324C2×C4—41no—
1325C2×C4—41no—
1326C2×C4—41no—
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—82no—
1365C2×C4—84no—
1366C2×C4—84no—
1367C2×C4—84no—
1368C2×C4—84no—
1369C2×C4—84no—
1370C2×C4—84no—
1371C2×C4—84no—
1372C2×C4—84no—
1373C2×C4—162no—
1374C2×C4—162no—
1375C2×C4#54612yes—
1376C2×C4C2×#13512yes—
1377C2×C4C22×#4111yescharacteristic
1378C2×C4C2×H(5,𝔽2)11yescharacteristic
1379C2×C4C2×H(5,𝔽2)11yescharacteristic
1380C2×C4C2×H(5,𝔽2)11yescharacteristic
1381C2×C4C2×H(5,𝔽2)11yescharacteristic
1382C2×C4#58511yescharacteristic
1383C8—41no—
1384C8—41no—
1385C8—41no—
1386C8—41no—
1387C8—41no—
1388C8—41no—
1389C8—41no—
1390C8—41no—
1391C22—22no—
1392C22—22no—
1393C22—22no—
1394C22—22no—
1395C22—22no—
1396C22—22no—
1397C22—22no—
1398C22—22no—
1399C22—22no—
1400C22—41no—
1401C22—41no—
1402C22—41no—
1403C22—41no—
1404C22—42no—
1405C22—41no—
1406C22—41no—
1407C22—41no—
1408C22—42no—
1409C22—41no—
1410C22—42no—
1411C22—42no—
1412C22—41no—
1413C22—42no—
1414C22—42no—
1415C22—41no—
1416C22—41no—
1417C22—816no—
1418C22—81no—
1419C22—81no—
1420C22—81no—
1421C22—81no—
1422C22—81no—
1423C22—81no—
1424C22—81no—
1425C22—81no—
1426C22—81no—
1427C22—81no—
1428C22—81no—
1429C22—81no—
1430C22—81no—
1431C22—81no—
1432C22—81no—
1433C22#330114yes—
1434C22C2×#54611yescharacteristic
1435C22#348411yescharacteristic
1436C22#348811yescharacteristic
1437C22C22×#13511yescharacteristic
1438C22C2×#57711yescharacteristic
1439C22#358511yescharacteristic
1440C22#358611yescharacteristic
1441C4—22no—
1442C4—22no—
1443C4—41no—
1444C4—41no—
1445C4—41no—
1446C4—41no—
1447C4—42no—
1448C4—42no—
1449C4—41no—
1450C4—41no—
1451C4—41no—
1452C4—41no—
1453C4—42no—
1454C4—41no—
1455C4—81no—
1456C4—81no—
1457C4—81no—
1458C4—81no—
1459C4—81no—
1460C4—81no—
1461C4—81no—
1462C4—81no—
1463C4—81no—
1464C4—81no—
1465C4#345911yescharacteristic
1466C4#349011yescharacteristic
1467C4#353411yescharacteristic
1468C4#353711yescharacteristic
1469C2—24no—
1470C2—42no—
1471C2—81no—
1472C2—82no—
1473C2—82no—
1474C2—161no—
1475C2#3774411yescharacteristic
1476C2C2×#330111yescharacteristic
1477C2#6122011yescharacteristic
1478C2#6156811yescharacteristic
1479C2#6161011yescharacteristic
1480C2#6195511yescharacteristic
1481C2#6200811yescharacteristic
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. #39166C2semidirect
2. #36440C2semidirect
3. #32908C2semidirect
4. #31648C2semidirect
5. #31639C2semidirect
6. #31559C2semidirect
7. #31553C2semidirect
8. #30994C2semidirect
9. #30987C2semidirect
10. #30403C2semidirect
11. #30398C2semidirect
12. #30186C2semidirect
13. #29957C2semidirect
14. #27204C2semidirect
15. #27201C2semidirect
16. #26670C2semidirect
17. #26659C2semidirect
18. #26210C2semidirect
19. #26202C2semidirect
20. #25112C2semidirect
21. #25108C2semidirect
22. #25090C2semidirect
23. #25085C2semidirect
24. #23964C2semidirect
25. #23962C2semidirect
26. #23858C2semidirect
27. #23855C2semidirect
28. #22416C2semidirect
29. D4×#103C2semidirect
30. #22168C2semidirect
31. C2×#1877C2semidirect
49. C2×#416C22semidirect
51. C22×#103C22semidirect
70. #2448C22semidirect
71. #2446C22semidirect
72. #2436C22semidirect
73. #2432C22semidirect
76. #2421C22semidirect
77. #2421C22semidirect
81. #2409C22semidirect
84. #2407C22semidirect
94. #2101C22semidirect
95. #2101C22semidirect
96. #2101C22semidirect
97. #2100C22semidirect
98. #2097C22semidirect
99. #2097C22semidirect
100. #2077C22semidirect
101. #2075C22semidirect
102. #2074C22semidirect
103. #2074C22semidirect
104. #2073C22semidirect
105. #2071C22semidirect
106. #2068C22semidirect
107. #2068C22semidirect
109. #2066C22semidirect
110. #2066C22semidirect
114. #2042C22semidirect
115. #2042C22semidirect
116. #2036C22semidirect
118. #2034C22semidirect
120. #2026C22semidirect
121. #2026C22semidirect
122. #2026C22semidirect
123. #2025C22semidirect
134. #1983C22semidirect
135. #1981C22semidirect
138. #1958C22semidirect
139. #1956C22semidirect
142. #1928C22semidirect
143. #1926C22semidirect
144. #1923C22semidirect
145. #1923C22semidirect
146. #1919C22semidirect
147. #1918C22semidirect
148. #1916C22semidirect
149. #1916C22semidirect
156. #1892C22semidirect
157. #1892C22semidirect
175. #1874C22semidirect
176. #1873C22semidirect
177. #1873C22semidirect
179. #1872C22semidirect
182. #1869C22semidirect
183. #1869C22semidirect
186. #1850C22semidirect
187. #1850C22semidirect
188. #1825C22semidirect
189. #1824C22semidirect
190. #1805C22semidirect
193. #1803C22semidirect
195. #1788C22semidirect
198. #1787C22semidirect
199. C4×#103C22semidirect
200. C4×#103C22semidirect

Maximal subgroups

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

subgroupindex
#391662
#364402
#329082
#316482
#316392
#315592
#315532
#309942
#309872
#304032
#303982
#301862
#299572
#272042
#272012
#266702
#266592
#262102
#262022
#251122
#251082
#250902
#250852
#239642
#239622
#238582
#238552
#224162
D4×#1032
#221682
C2×#18772