Finite Group Databasebeta

← #7361552

Subgroups — #7361552

Order 512.

1901 conjugacy classes of subgroups.

The subgroup lattice has 1482 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59041C211yesmaximal, characteristic, complemented
2#39962C211yesmaximal, characteristic, complemented
3#31529C211yesmaximal, characteristic, complemented
4#31527C211yesmaximal, characteristic, complemented
5#31364C211yesmaximal, characteristic, complemented
6#31362C211yesmaximal, characteristic, complemented
7#31324C211yesmaximal, characteristic, complemented
8#31322C211yesmaximal, characteristic, complemented
9#31028C211yesmaximal, characteristic, complemented
10#31020C211yesmaximal, characteristic, complemented
11#30599C211yesmaximal, characteristic, complemented
12#30591C211yesmaximal, characteristic, complemented
13#30560C211yesmaximal, characteristic, complemented
14#30558C211yesmaximal, characteristic, complemented
15#30111C211yesmaximal, characteristic, complemented
16#29667C211yesmaximal, characteristic, complemented
17#29239C211yesmaximal, characteristic, complemented
18#26896C211yesmaximal, characteristic, complemented
19#26888C211yesmaximal, characteristic, complemented
20#25960C211yesmaximal, characteristic, complemented
21#25952C211yesmaximal, characteristic, complemented
22#25160C211yesmaximal, characteristic, complemented
23#25152C211yesmaximal, characteristic, complemented
24#24432C211yesmaximal, characteristic, complemented
25#24424C211yesmaximal, characteristic, complemented
26#24125C211yesmaximal, characteristic, complemented
27#24124C211yesmaximal, characteristic, complemented
28#24062C211yesmaximal, characteristic, complemented
29#23966C211yesmaximal, characteristic, complemented
30#23963C211yesmaximal, characteristic, complemented
31#23326C211yesmaximal, characteristic, complemented
32C2×#553C2211yescharacteristic, complemented
33C2×#552C2211yescharacteristic, complemented
34C2×D42C2211yescharacteristic
35C2×#532C2211yescharacteristic
36C2×#482C2211yescharacteristic, complemented
37C2×#482C2211yescharacteristic, complemented
38C2×#478C2211yescharacteristic, complemented
39C2×#478C2211yescharacteristic, complemented
40C2×#466C2211yescharacteristic
41C2×#465C2211yescharacteristic
42C2×#463C2211yescharacteristic, complemented
43C2×#463C2211yescharacteristic, complemented
44C2×#450C2211yescharacteristic
45C2×#450C2211yescharacteristic
46C2×#447C2211yescharacteristic
47C2×#447C2211yescharacteristic
48C2×C4×SD16C2211yescharacteristic, complemented
49C2×C4×D8C2211yescharacteristic, complemented
50C22×#102C2211yescharacteristic
51C22×#102C2211yescharacteristic
52#2850C2211yescharacteristic, complemented
53#2695—21no—
54#2693—21no—
55#2691—21no—
56#2684—21no—
57#2684—21no—
58#2671—21no—
59#2664—21no—
60#2601—21no—
61#2563C2211yescharacteristic
62#2563C2211yescharacteristic
63#2562—21no—
64#2535—21no—
65#2535C2211yescharacteristic
66#2535C2211yescharacteristic
67#2454C2211yescharacteristic, complemented
68#2453C2211yescharacteristic, complemented
69#2442C2211yescharacteristic, complemented
70#2442C2211yescharacteristic, complemented
71#2427C2211yescharacteristic, complemented
72#2426C2211yescharacteristic, complemented
73#2420—21no—
74#2420C2211yescharacteristic
75#2420C2211yescharacteristic
76#2417C2211yescharacteristic
77#2416C2211yescharacteristic
78#2415C2211yescharacteristic, complemented
79#2414C2211yescharacteristic, complemented
80#2408—21no—
81#2408C2211yescharacteristic
82#2408C2211yescharacteristic
83#2404—21no—
84#2404—21no—
85#2366C2211yescharacteristic
86D4×C22⋊C4—21no—
87D4×C22⋊C4C2211yescharacteristic
88D4×C22⋊C4C2211yescharacteristic
89#2324—21no—
90C4×#121C2211yescharacteristic
91C4×#121C2211yescharacteristic
92#2296C2211yescharacteristic, complemented
93#2101C2211yescharacteristic, complemented
94#2097C2211yescharacteristic, complemented
95#2092C2211yescharacteristic
96#2092C2211yescharacteristic, complemented
97#2088C2211yescharacteristic, complemented
98#2086C2211yescharacteristic, complemented
99#2085C2211yescharacteristic, complemented
100#2085C2211yescharacteristic, complemented
101#2077C2211yescharacteristic, complemented
102#2076C2211yescharacteristic, complemented
103#2067C2211yescharacteristic
104#2067C2211yescharacteristic
105#2065C2211yescharacteristic
106#2065C2211yescharacteristic
107#2058C2211yescharacteristic, complemented
108#2057C2211yescharacteristic, complemented
109#2055C2211yescharacteristic, complemented
110#2054C2211yescharacteristic, complemented
111#2042C2211yescharacteristic, complemented
112#2041C2211yescharacteristic
113#2041C2211yescharacteristic
114#2036C2211yescharacteristic, complemented
115#2036C2211yescharacteristic, complemented
116#2036C2211yescharacteristic, complemented
117#2035C2211yescharacteristic, complemented
118#2034C2211yescharacteristic
119#2034C2211yescharacteristic, complemented
120#2034C2211yescharacteristic, complemented
121#2034C2211yescharacteristic, complemented
122#2033C2211yescharacteristic
123#2033C2211yescharacteristic, complemented
124#2025C2211yescharacteristic
125#2025C2211yescharacteristic
126#2025C2211yescharacteristic, complemented
127#2025C2211yescharacteristic, complemented
128#2024C2211yescharacteristic, complemented
129#2023C2211yescharacteristic, complemented
130#2014C2211yescharacteristic
131#2012C2211yescharacteristic
132#2011C2211yescharacteristic
133#2000C2211yescharacteristic
134#2000C2211yescharacteristic
135#2000C2211yescharacteristic, complemented
136#2000C2211yescharacteristic, complemented
137#1999C2211yescharacteristic
138#1999C2211yescharacteristic
139#1999C2211yescharacteristic, complemented
140#1999C2211yescharacteristic, complemented
141#1991C2211yescharacteristic, complemented
142#1991C2211yescharacteristic, complemented
143#1970C2211yescharacteristic
144#1968C2211yescharacteristic
145#1954C2211yescharacteristic, complemented
146#1954C2211yescharacteristic, complemented
147#1934C2211yescharacteristic, complemented
148#1934C2211yescharacteristic, complemented
149#1928C2211yescharacteristic, complemented
150#1926C2211yescharacteristic, complemented
151#1923C2211yescharacteristic, complemented
152#1923C2211yescharacteristic, complemented
153#1921C2211yescharacteristic, complemented
154#1919C2211yescharacteristic, complemented
155#1916C2211yescharacteristic, complemented
156#1916C2211yescharacteristic, complemented
157#1893C2211yescharacteristic, complemented
158#1892C2211yescharacteristic, complemented
159#1880C2211yescharacteristic
160#1880C2211yescharacteristic, complemented
161#1879C2211yescharacteristic
162#1879C2211yescharacteristic
163#1879C2211yescharacteristic, complemented
164#1879C2211yescharacteristic, complemented
165#1877C2211yescharacteristic
166#1877C2211yescharacteristic, complemented
167#1875C2211yescharacteristic
168#1875C2211yescharacteristic
169#1875C2211yescharacteristic, complemented
170#1875C2211yescharacteristic, complemented
171#1874C2211yescharacteristic
172#1874C2211yescharacteristic
173#1869C2211yescharacteristic
174#1869C2211yescharacteristic
175#1869C2211yescharacteristic, complemented
176#1869C2211yescharacteristic, complemented
177#1864C2211yescharacteristic
178#1864C2211yescharacteristic, complemented
179#1864C2211yescharacteristic, complemented
180#1864C2211yescharacteristic, complemented
181#1862C2211yescharacteristic
182#1862C2211yescharacteristic, complemented
183#1862C2211yescharacteristic, complemented
184#1862C2211yescharacteristic, complemented
185#1854C2211yescharacteristic, complemented
186#1854C2211yescharacteristic, complemented
187#1853C2211yescharacteristic, complemented
188#1852C2211yescharacteristic, complemented
189#1850C2211yescharacteristic, complemented
190#1850C2211yescharacteristic, complemented
191#1824C2211yescharacteristic, complemented
192#1823C2211yescharacteristic, complemented
193#1817C2211yescharacteristic, complemented
194#1808C2211yescharacteristic, complemented
195#1807C2211yescharacteristic, complemented
196#1805C2211yescharacteristic, complemented
197#1804C2211yescharacteristic, complemented
198#1804C2211yescharacteristic, complemented
199#1804C2211yescharacteristic, complemented
200#1797C2211yescharacteristic, complemented
201#1786C2211yescharacteristic
202#1786C2211yescharacteristic
203C22×#41—21no—
204C23×D4—21no—
205C23×D4C2311yescharacteristic
206C23×D4C2311yescharacteristic
207C22×SD16C2311yescharacteristic
208C22×SD16C2311yescharacteristic
209C22×SD16C2311yescharacteristic
210C22×D8C2311yescharacteristic
211C22×D8C2311yescharacteristic
212C22×D8C2311yescharacteristic
213C23×C8C2311yescharacteristic
214C23×C8C2311yescharacteristic
215#553—42no—
216#553—42no—
217#552—42no—
218#552—42no—
219D42—42no—
220D42—42no—
221#532—42no—
222#532—42no—
223C2×C4⋊Q8C2311yescharacteristic
224C2×#127C2311yescharacteristic
225C2×#126—21no—
226C2×#126—21no—
227C2×#125—21no—
228C2×#125C2311yescharacteristic
229C2×#125C2311yescharacteristic
230C2×#124—21no—
231C2×#124C2311yescharacteristic
232C2×#123—21no—
233C2×#123—21no—
234C2×C22⋊Q8C2311yescharacteristic
235C2×C22⋊Q8C2311yescharacteristic
236C2×C22⋊Q8C2311yescharacteristic
237C2×#121—21no—
238C2×#121—21no—
239C2×#121—21no—
240C2×#121—21no—
241C2×#121D411yescharacteristic
242C2×#121C2311yescharacteristic
243C2×#121C2311yescharacteristic
244C2×#121C2311yescharacteristic
245C2×#121C2311yescharacteristic
246C2×#121C2311yescharacteristic
247C2×#121C2311yescharacteristic
248C2×#121C2311yescharacteristic
249C2×#121C2311yescharacteristic
250C2×#120—21no—
251C2×#120—21no—
252C2×#120—21no—
253C2×#120—21no—
254C2×C4×Q8C2311yescharacteristic
255C2×C4×D4—21no—
256C2×C4×D4—21no—
257C2×C4×D4—21no—
258C2×C4×D4—21no—
259C2×C4×D4C2311yescharacteristic
260C2×C4×D4C2311yescharacteristic
261C2×C4×D4C2311yescharacteristic
262C2×C4×D4C2311yescharacteristic
263C2×C4×D4C2311yescharacteristic
264C2×C4×D4C2311yescharacteristic
265C2×C4×D4C2311yescharacteristic
266C2×C4×D4C2311yescharacteristic
267C2×C4×D4C2311yescharacteristic
268C2×#117—21no—
269C2×#117C2311yescharacteristic
270C2×#117C2311yescharacteristic
271C22×C4⋊C4C2311yescharacteristic
272C22×C4⋊C4C2311yescharacteristic
273C22×C22⋊C4—21no—
274C22×C22⋊C4—21no—
275C22×C42C2311yescharacteristic
276#482—42no—
277#482—42no—
278#478—42no—
279#478—42no—
280#466—42no—
281#465—42no—
282#463—42no—
283#463—42no—
284#450—42no—
285#450—42no—
286#447—42no—
287#447—42no—
288C4×SD16—42no—
289C4×D8—42no—
290C2×#107C2311yescharacteristic
291C2×#107C2311yescharacteristic
292C2×#107C2311yescharacteristic
293C2×#107C2311yescharacteristic
294C2×#107C2311yescharacteristic
295C2×#106C2311yescharacteristic
296C2×#106C2311yescharacteristic
297C2×#106C2311yescharacteristic
298C2×#106C2311yescharacteristic
299C2×#106C2311yescharacteristic
300C2×C4⋊C8C2311yescharacteristic
301C2×C4⋊C8C2311yescharacteristic
302C2×C4⋊C8C2311yescharacteristic
303C2×C4⋊C8C2311yescharacteristic
304C2×#103C2311yescharacteristic
305C2×#103C2311yescharacteristic
306C2×#103C2311yescharacteristic
307C2×#103C2311yescharacteristic
308C2×#103C2311yescharacteristic
309C2×#102—42no—
310C2×#102—42no—
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
330C2×#102C2311yescharacteristic
331C2×#102C2311yescharacteristic
332C2×#102C2311yescharacteristic
333C2×#102C2311yescharacteristic
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×C22⋊C8C2311yescharacteristic
344C2×C4×C8C2311yescharacteristic
345C2×C4×C8C2311yescharacteristic
346#400—21no—
347#400—21no—
348#400—21no—
349#399—21no—
350#398—21no—
351#398—21no—
352#398—21no—
353#398—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#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#393—21no—
374#393—21no—
375#393—21no—
376#393—21no—
377#392—21no—
378#392—21no—
379#392—21no—
380#392—21no—
381#392—21no—
382#391C2311yescharacteristic
383#391C2311yescharacteristic
384#390—21no—
385#390—21no—
386#390—21no—
387#390—21no—
388#390D411yescharacteristic
389#390C2311yescharacteristic
390#390C2311yescharacteristic
391#390C2311yescharacteristic
392#390C2311yescharacteristic
393#390C2311yescharacteristic
394#390C2311yescharacteristic
395#390C2311yescharacteristic
396#389—21no—
397#389—21no—
398#389D411yescharacteristic
399#389C2311yescharacteristic
400#389C2311yescharacteristic
401#389C2311yescharacteristic
402#389C2311yescharacteristic
403#389C2311yescharacteristic
404#389C2311yescharacteristic
405#389C2311yescharacteristic
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#386—21no—
416#386—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#386D411yescharacteristic
434#386D411yescharacteristic
435#385—21no—
436#385—21no—
437#385—21no—
438#385—21no—
439#385—21no—
440#382—21no—
441#382C2311yescharacteristic
442#382C2311yescharacteristic
443#382C2311yescharacteristic
444#381—21no—
445#381—21no—
446#380—21no—
447#380—21no—
448#380—21no—
449#380—21no—
450#380—21no—
451#380—21no—
452#380—21no—
453#380D411yescharacteristic
454#380C2311yescharacteristic
455#380C2311yescharacteristic
456#380C2311yescharacteristic
457#380C2311yescharacteristic
458#380C2311yescharacteristic
459#380C2311yescharacteristic
460#380C2311yescharacteristic
461#379—21no—
462#379—21no—
463#379—21no—
464#379—21no—
465C4×C4⋊C4—21no—
466C4×C4⋊C4—21no—
467C4×C4⋊C4C2311yescharacteristic
468C4×C4⋊C4C2311yescharacteristic
469C4×C22⋊C4—21no—
470C4×C22⋊C4C2311yescharacteristic
471C4×C22⋊C4C2311yescharacteristic
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—
503C25—21no—
504C2×#41—44no—
505C2×#41—82no—
506C2×#41—82no—
507C22×Q8—21no—
508C22×Q8C2411yescharacteristic
509C22×D4—22no—
510C22×D4—22no—
511C22×D4—22no—
512C22×D4—22no—
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—41no—
526C22×D4—41no—
527C22×D4—41no—
528C22×D4—41no—
529C22×D4—41no—
530C22×D4—41no—
531C22×D4—41no—
532C22×D4—41no—
533C22×D4—44no—
534C22×D4—44no—
535C22×D4—82no—
536C22×D4C2×D411yescharacteristic
537C22×D4C2×D411yescharacteristic
538C22×D4C2×D411yescharacteristic
539C22×D4C2411yescharacteristic
540C22×D4C2411yescharacteristic
541C22×D4C2411yescharacteristic
542C22×D4C2411yescharacteristic
543C23×C4—21no—
544C23×C4—21no—
545C23×C4—21no—
546C23×C4—21no—
547C23×C4—21no—
548C23×C4—21no—
549C23×C4—21no—
550C23×C4—21no—
551C23×C4C2×D411yescharacteristic
552C23×C4C2×D411yescharacteristic
553C23×C4C2411yescharacteristic
554C23×C4C2411yescharacteristic
555C23×C4C2411yescharacteristic
556C2×SD16—22no—
557C2×SD16—22no—
558C2×SD16—22no—
559C2×SD16—41no—
560C2×SD16—41no—
561C2×SD16—41no—
562C2×SD16—41no—
563C2×SD16—41no—
564C2×SD16—41no—
565C2×D8—22no—
566C2×D8—22no—
567C2×D8—22no—
568C2×D8—41no—
569C2×D8—41no—
570C2×D8—41no—
571C2×D8—41no—
572C2×D8—41no—
573C2×D8—41no—
574C22×C8—41no—
575C22×C8—41no—
576C22×C8—41no—
577C22×C8—41no—
578C22×C8—41no—
579C22×C8—41no—
580C22×C8C2411yescharacteristic
581C22×C8C2411yescharacteristic
582C22×C8C2411yescharacteristic
583C22×C8C2411yescharacteristic
584C22×C8C2411yescharacteristic
585C22×C8C2411yescharacteristic
586C22×C8C2411yescharacteristic
587C22×C8C2411yescharacteristic
588C4⋊Q8—41no—
589C4⋊Q8—41no—
590#127—22no—
591#127—22no—
592#126—44no—
593#126—44no—
594#125—22no—
595#125—22no—
596#125—41no—
597#125—41no—
598#125—44no—
599#124—41no—
600#124—41no—
601#124—44no—
602#123—44no—
603#123—44no—
604C22⋊Q8—22no—
605C22⋊Q8—41no—
606C22⋊Q8—41no—
607C22⋊Q8—41no—
608C22⋊Q8—41no—
609C22⋊Q8—41no—
610#121—24no—
611#121—22no—
612#121—22no—
613#121—22no—
614#121—22no—
615#121—22no—
616#121—22no—
617#121—44no—
618#121—41no—
619#121—41no—
620#121—41no—
621#121—41no—
622#121—41no—
623#121—41no—
624#121—41no—
625#121—41no—
626#121—44no—
627#121—44no—
628#121—44no—
629#121—41no—
630#121—41no—
631#120—44no—
632#120—44no—
633#120—82no—
634#120—82no—
635C4×Q8—22no—
636C4×Q8—41no—
637C4×D4—22no—
638C4×D4—22no—
639C4×D4—22no—
640C4×D4—41no—
641C4×D4—41no—
642C4×D4—41no—
643C4×D4—41no—
644C4×D4—41no—
645C4×D4—41no—
646C4×D4—41no—
647C4×D4—41no—
648C4×D4—41no—
649C4×D4—41no—
650C4×D4—41no—
651C4×D4—44no—
652C4×D4—41no—
653C4×D4—41no—
654C4×D4—41no—
655C4×D4—41no—
656C4×D4—44no—
657C4×D4—82no—
658C4×D4—82no—
659#117—22no—
660#117—22no—
661#117—44no—
662#117—41no—
663#117—41no—
664C2×C4⋊C4—22no—
665C2×C4⋊C4—22no—
666C2×C4⋊C4—21no—
667C2×C4⋊C4—21no—
668C2×C4⋊C4—21no—
669C2×C4⋊C4—21no—
670C2×C4⋊C4—21no—
671C2×C4⋊C4—21no—
672C2×C4⋊C4—21no—
673C2×C4⋊C4—21no—
674C2×C4⋊C4—21no—
675C2×C4⋊C4—21no—
676C2×C4⋊C4—21no—
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—41no—
685C2×C4⋊C4—41no—
686C2×C4⋊C4C2×D411yescharacteristic
687C2×C4⋊C4C2×D411yescharacteristic
688C2×C4⋊C4C2×D411yescharacteristic
689C2×C4⋊C4C2×D411yescharacteristic
690C2×C4⋊C4C2×D411yescharacteristic
691C2×C4⋊C4C2411yescharacteristic
692C2×C4⋊C4C2411yescharacteristic
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×C22⋊C4—21no—
703C2×C22⋊C4—21no—
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—82no—
745C2×C22⋊C4—82no—
746C2×C22⋊C4C2×D411yescharacteristic
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×C42—21no—
757C2×C42—21no—
758C2×C42—21no—
759C2×C42—21no—
760C2×C42—41no—
761C2×C42—41no—
762C2×C42C2×D411yescharacteristic
763C2×C42C2×D411yescharacteristic
764C2×C42C2411yescharacteristic
765C2×C42C2411yescharacteristic
766C2×C42C2411yescharacteristic
767C2×C42C2411yescharacteristic
768#107—22no—
769#107—41no—
770#107—41no—
771#107—41no—
772#107—41no—
773#106—22no—
774#106—41no—
775#106—41no—
776#106—41no—
777#106—41no—
778C4⋊C8—41no—
779C4⋊C8—41no—
780C4⋊C8—41no—
781C4⋊C8—41no—
782#103—41no—
783#103—41no—
784#103—41no—
785#103—41no—
786#103—41no—
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—22no—
796#102—22no—
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—
808#102—41no—
809#102—41no—
810C22⋊C8—41no—
811C22⋊C8—41no—
812C22⋊C8—41no—
813C22⋊C8—41no—
814C22⋊C8—41no—
815C22⋊C8—41no—
816C22⋊C8—41no—
817C22⋊C8—41no—
818C22⋊C8—41no—
819C22⋊C8—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#95C2×D411yescharacteristic
848#95C2×D411yescharacteristic
849#95C2×D411yescharacteristic
850#95C2×D411yescharacteristic
851#95C2×D411yescharacteristic
852#95C2×D411yescharacteristic
853C24—21no—
854C24—21no—
855C24—21no—
856C24—21no—
857C24—42no—
858C24—42no—
859C24—42no—
860C24—42no—
861C24—42no—
862C24—42no—
863C24—81no—
864C24—81no—
865C24—81no—
866C24—81no—
867C24—81no—
868C24—81no—
869C24—81no—
870C24—81no—
871C24C22×D411yescharacteristic
872C24C22×D411yescharacteristic
873C24C22×D411yescharacteristic
874#41—816no—
875C2×Q8—21no—
876C2×Q8—21no—
877C2×Q8—21no—
878C2×Q8—21no—
879C2×Q8—21no—
880C2×Q8—21no—
881C2×Q8—42no—
882C2×Q8—81no—
883C2×Q8—81no—
884C2×D4—24no—
885C2×D4—24no—
886C2×D4—22no—
887C2×D4—22no—
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—42no—
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—44no—
922C2×D4—44no—
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—42no—
936C2×D4—42no—
937C2×D4—81no—
938C2×D4—81no—
939C2×D4—81no—
940C2×D4—81no—
941C2×D4—82no—
942C2×D4—82no—
943C2×D4—82no—
944C2×D4—82no—
945C2×D4—82no—
946C2×D4—82no—
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—816no—
958C2×D4#13514yes—
959C2×D4H(5,𝔽2)12yes—
960C2×D4H(5,𝔽2)12yes—
961C2×D42−1+412yes—
962C22×C4—21no—
963C22×C4—21no—
964C22×C4—21no—
965C22×C4—21no—
966C22×C4—21no—
967C22×C4—21no—
968C22×C4—21no—
969C22×C4—21no—
970C22×C4—21no—
971C22×C4—21no—
972C22×C4—21no—
973C22×C4—21no—
974C22×C4—21no—
975C22×C4—21no—
976C22×C4—21no—
977C22×C4—21no—
978C22×C4—21no—
979C22×C4—21no—
980C22×C4—21no—
981C22×C4—21no—
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—41no—
994C22×C4—41no—
995C22×C4—41no—
996C22×C4—41no—
997C22×C4—41no—
998C22×C4—42no—
999C22×C4—42no—
1000C22×C4—42no—
1001C22×C4—42no—
1002C22×C4—42no—
1003C22×C4—42no—
1004C22×C4—42no—
1005C22×C4—42no—
1006C22×C4—42no—
1007C22×C4—42no—
1008C22×C4—42no—
1009C22×C4—81no—
1010C22×C4—81no—
1011C22×C4—81no—
1012C22×C4—81no—
1013C22×C4—81no—
1014C22×C4—81no—
1015C22×C4—81no—
1016C22×C4—81no—
1017C22×C4—81no—
1018C22×C4—81no—
1019C22×C4—81no—
1020C22×C4—81no—
1021C22×C4—81no—
1022C22×C4C22×D411yescharacteristic
1023C22×C4C22×D411yescharacteristic
1024C22×C4C22×D411yescharacteristic
1025C22×C4C22×D411yescharacteristic
1026C22×C4C22×D411yescharacteristic
1027C22×C4C22×D411yescharacteristic
1028C22×C4C22×D411yescharacteristic
1029C22×C4C22×D411yescharacteristic
1030C22×C4C22×D411yescharacteristic
1031C22×C4C22×D411yescharacteristic
1032C22×C4C22×D411yescharacteristic
1033C22×C4C2511yescharacteristic
1034SD16—44no—
1035SD16—82no—
1036SD16—82no—
1037D8—44no—
1038D8—82no—
1039D8—82no—
1040C2×C8—21no—
1041C2×C8—21no—
1042C2×C8—21no—
1043C2×C8—21no—
1044C2×C8—21no—
1045C2×C8—21no—
1046C2×C8—21no—
1047C2×C8—21no—
1048C2×C8—21no—
1049C2×C8—21no—
1050C2×C8—21no—
1051C2×C8—21no—
1052C2×C8—21no—
1053C2×C8—21no—
1054C2×C8—21no—
1055C2×C8—21no—
1056C2×C8—21no—
1057C2×C8—21no—
1058C2×C8—21no—
1059C2×C8—21no—
1060C2×C8—21no—
1061C2×C8—21no—
1062C2×C8—21no—
1063C2×C8—21no—
1064C2×C8—82no—
1065C2×C8—82no—
1066C4⋊C4—22no—
1067C4⋊C4—21no—
1068C4⋊C4—21no—
1069C4⋊C4—21no—
1070C4⋊C4—21no—
1071C4⋊C4—21no—
1072C4⋊C4—21no—
1073C4⋊C4—21no—
1074C4⋊C4—21no—
1075C4⋊C4—21no—
1076C4⋊C4—21no—
1077C4⋊C4—21no—
1078C4⋊C4—21no—
1079C4⋊C4—21no—
1080C4⋊C4—21no—
1081C4⋊C4—21no—
1082C4⋊C4—21no—
1083C4⋊C4—21no—
1084C4⋊C4—21no—
1085C4⋊C4—21no—
1086C4⋊C4—21no—
1087C4⋊C4—41no—
1088C4⋊C4—41no—
1089C4⋊C4—41no—
1090C4⋊C4—41no—
1091C4⋊C4—42no—
1092C4⋊C4—42no—
1093C4⋊C4—42no—
1094C4⋊C4—42no—
1095C4⋊C4—42no—
1096C4⋊C4—42no—
1097C4⋊C4—42no—
1098C4⋊C4—42no—
1099C4⋊C4—42no—
1100C4⋊C4—42no—
1101C4⋊C4—42no—
1102C4⋊C4—81no—
1103C4⋊C4—81no—
1104C4⋊C4—81no—
1105C4⋊C4—81no—
1106C4⋊C4—81no—
1107C4⋊C4—81no—
1108C4⋊C4—81no—
1109C4⋊C4H(5,𝔽2)12yes—
1110C4⋊C4H(5,𝔽2)12yes—
1111C22⋊C4—24no—
1112C22⋊C4—22no—
1113C22⋊C4—22no—
1114C22⋊C4—41no—
1115C22⋊C4—41no—
1116C22⋊C4—41no—
1117C22⋊C4—41no—
1118C22⋊C4—41no—
1119C22⋊C4—41no—
1120C22⋊C4—41no—
1121C22⋊C4—41no—
1122C22⋊C4—42no—
1123C22⋊C4—42no—
1124C22⋊C4—42no—
1125C22⋊C4—42no—
1126C22⋊C4—42no—
1127C22⋊C4—42no—
1128C22⋊C4—42no—
1129C22⋊C4—42no—
1130C22⋊C4—42no—
1131C22⋊C4—42no—
1132C22⋊C4—42no—
1133C22⋊C4—42no—
1134C22⋊C4—42no—
1135C22⋊C4—42no—
1136C22⋊C4—42no—
1137C22⋊C4—42no—
1138C22⋊C4—81no—
1139C22⋊C4—81no—
1140C22⋊C4—81no—
1141C22⋊C4—81no—
1142C22⋊C4—81no—
1143C22⋊C4—81no—
1144C22⋊C4—81no—
1145C22⋊C4—81no—
1146C22⋊C4—81no—
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—
1163C42—24no—
1164C42—21no—
1165C42—21no—
1166C42—21no—
1167C42—21no—
1168C42—21no—
1169C42—21no—
1170C42—21no—
1171C42—21no—
1172C42—41no—
1173C42—41no—
1174C42—42no—
1175C42—42no—
1176C42—81no—
1177C23—21no—
1178C23—21no—
1179C23—21no—
1180C23—21no—
1181C23—21no—
1182C23—21no—
1183C23—21no—
1184C23—21no—
1185C23—21no—
1186C23—21no—
1187C23—21no—
1188C23—21no—
1189C23—21no—
1190C23—21no—
1191C23—21no—
1192C23—21no—
1193C23—22no—
1194C23—22no—
1195C23—21no—
1196C23—22no—
1197C23—21no—
1198C23—21no—
1199C23—41no—
1200C23—41no—
1201C23—41no—
1202C23—41no—
1203C23—41no—
1204C23—41no—
1205C23—41no—
1206C23—41no—
1207C23—41no—
1208C23—41no—
1209C23—41no—
1210C23—41no—
1211C23—41no—
1212C23—41no—
1213C23—41no—
1214C23—41no—
1215C23—41no—
1216C23—41no—
1217C23—41no—
1218C23—41no—
1219C23—41no—
1220C23—41no—
1221C23—41no—
1222C23—41no—
1223C23—41no—
1224C23—84no—
1225C23—84no—
1226C23—84no—
1227C23—84no—
1228C23—84no—
1229C23—84no—
1230C23—162no—
1231C23—162no—
1232C23—162no—
1233C23—162no—
1234C23—162no—
1235C23—162no—
1236C23—162no—
1237C23—162no—
1238C23C2×#13512yes—
1239C23C2×#13512yes—
1240C23C23×D411yescharacteristic
1241Q8—41no—
1242Q8—41no—
1243Q8—41no—
1244Q8—41no—
1245Q8—84no—
1246D4—22no—
1247D4—22no—
1248D4—22no—
1249D4—22no—
1250D4—22no—
1251D4—22no—
1252D4—44no—
1253D4—48no—
1254D4—41no—
1255D4—41no—
1256D4—41no—
1257D4—41no—
1258D4—41no—
1259D4—41no—
1260D4—41no—
1261D4—41no—
1262D4—41no—
1263D4—41no—
1264D4—82no—
1265D4—82no—
1266D4—84no—
1267D4—84no—
1268D4—84no—
1269D4—84no—
1270D4—84no—
1271D4—84no—
1272D4—84no—
1273D4—84no—
1274D4—84no—
1275D4—162no—
1276D4—162no—
1277C2×C4—21no—
1278C2×C4—21no—
1279C2×C4—21no—
1280C2×C4—21no—
1281C2×C4—21no—
1282C2×C4—21no—
1283C2×C4—21no—
1284C2×C4—21no—
1285C2×C4—21no—
1286C2×C4—21no—
1287C2×C4—21no—
1288C2×C4—21no—
1289C2×C4—21no—
1290C2×C4—21no—
1291C2×C4—21no—
1292C2×C4—22no—
1293C2×C4—21no—
1294C2×C4—21no—
1295C2×C4—21no—
1296C2×C4—22no—
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—21no—
1311C2×C4—44no—
1312C2×C4—41no—
1313C2×C4—41no—
1314C2×C4—41no—
1315C2×C4—41no—
1316C2×C4—41no—
1317C2×C4—41no—
1318C2×C4—41no—
1319C2×C4—41no—
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—82no—
1359C2×C4—84no—
1360C2×C4—84no—
1361C2×C4—84no—
1362C2×C4—84no—
1363C2×C4—162no—
1364C2×C4—162no—
1365C2×C4—162no—
1366C2×C4—162no—
1367C2×C4C2×#13512yes—
1368C2×C4C2×H(5,𝔽2)11yescharacteristic
1369C2×C4C2×H(5,𝔽2)11yescharacteristic
1370C2×C4C2×H(5,𝔽2)11yescharacteristic
1371C2×C4C2×H(5,𝔽2)11yescharacteristic
1372C2×C4C2×2−1+411yescharacteristic
1373C2×C4#58511yescharacteristic
1374C8—41no—
1375C8—41no—
1376C8—41no—
1377C8—41no—
1378C8—41no—
1379C8—41no—
1380C8—41no—
1381C8—41no—
1382C22—22no—
1383C22—22no—
1384C22—22no—
1385C22—22no—
1386C22—22no—
1387C22—22no—
1388C22—41no—
1389C22—41no—
1390C22—41no—
1391C22—41no—
1392C22—41no—
1393C22—41no—
1394C22—41no—
1395C22—41no—
1396C22—41no—
1397C22—42no—
1398C22—41no—
1399C22—42no—
1400C22—42no—
1401C22—41no—
1402C22—41no—
1403C22—42no—
1404C22—42no—
1405C22—42no—
1406C22—41no—
1407C22—42no—
1408C22—41no—
1409C22—42no—
1410C22—42no—
1411C22—41no—
1412C22—81no—
1413C22—81no—
1414C22—81no—
1415C22—81no—
1416C22—81no—
1417C22—81no—
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—168no—
1432C22—168no—
1433C22#348411yescharacteristic
1434C22#348411yescharacteristic
1435C22#348911yescharacteristic
1436C22C22×#13511yescharacteristic
1437C22#358511yescharacteristic
1438C22#358511yescharacteristic
1439C22#358511yescharacteristic
1440C4—22no—
1441C4—41no—
1442C4—41no—
1443C4—41no—
1444C4—42no—
1445C4—41no—
1446C4—41no—
1447C4—41no—
1448C4—41no—
1449C4—41no—
1450C4—41no—
1451C4—41no—
1452C4—42no—
1453C4—81no—
1454C4—81no—
1455C4—81no—
1456C4—81no—
1457C4—81no—
1458C4—81no—
1459C4—81no—
1460C4—81no—
1461C4—81no—
1462C4—81no—
1463C4#353611yescharacteristic
1464C4#353611yescharacteristic
1465C4#354211yescharacteristic
1466C4#354211yescharacteristic
1467C2—42no—
1468C2—42no—
1469C2—81no—
1470C2—82no—
1471C2—82no—
1472C2—82no—
1473C2—161no—
1474C2#4954611yescharacteristic
1475C2#6156111yescharacteristic
1476C2#6156711yescharacteristic
1477C2#6164311yescharacteristic
1478C2#6167311yescharacteristic
1479C2#6210311yescharacteristic
1480C2#6222311yescharacteristic
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. #59041C2semidirect
2. #39962C2semidirect
3. #31529C2semidirect
4. #31527C2semidirect
5. #31364C2semidirect
6. #31362C2semidirect
7. #31324C2semidirect
8. #31322C2semidirect
9. #31028C2semidirect
10. #31020C2semidirect
11. #30599C2semidirect
12. #30591C2semidirect
13. #30560C2semidirect
14. #30558C2semidirect
15. #30111C2semidirect
16. #29667C2semidirect
17. #29239C2semidirect
18. #26896C2semidirect
19. #26888C2semidirect
20. #25960C2semidirect
21. #25952C2semidirect
22. #25160C2semidirect
23. #25152C2semidirect
24. #24432C2semidirect
25. #24424C2semidirect
26. #24125C2semidirect
27. #24124C2semidirect
28. #24062C2semidirect
29. #23966C2semidirect
30. #23963C2semidirect
31. #23326C2semidirect
32. C2×#553C22semidirect
33. C2×#552C22semidirect
36. C2×#482C22semidirect
37. C2×#482C22semidirect
38. C2×#478C22semidirect
39. C2×#478C22semidirect
42. C2×#463C22semidirect
43. C2×#463C22semidirect
48. C2×C4×SD16C22semidirect
49. C2×C4×D8C22semidirect
52. #2850C22semidirect
67. #2454C22semidirect
68. #2453C22semidirect
69. #2442C22semidirect
70. #2442C22semidirect
71. #2427C22semidirect
72. #2426C22semidirect
78. #2415C22semidirect
79. #2414C22semidirect
92. #2296C22semidirect
93. #2101C22semidirect
94. #2097C22semidirect
96. #2092C22semidirect
97. #2088C22semidirect
98. #2086C22semidirect
99. #2085C22semidirect
100. #2085C22semidirect
101. #2077C22semidirect
102. #2076C22semidirect
107. #2058C22semidirect
108. #2057C22semidirect
109. #2055C22semidirect
110. #2054C22semidirect
111. #2042C22semidirect
114. #2036C22semidirect
115. #2036C22semidirect
116. #2036C22semidirect
117. #2035C22semidirect
119. #2034C22semidirect
120. #2034C22semidirect
121. #2034C22semidirect
123. #2033C22semidirect
126. #2025C22semidirect
127. #2025C22semidirect
128. #2024C22semidirect
129. #2023C22semidirect
135. #2000C22semidirect
136. #2000C22semidirect
139. #1999C22semidirect
140. #1999C22semidirect
141. #1991C22semidirect
142. #1991C22semidirect
145. #1954C22semidirect
146. #1954C22semidirect
147. #1934C22semidirect
148. #1934C22semidirect
149. #1928C22semidirect
150. #1926C22semidirect
151. #1923C22semidirect
152. #1923C22semidirect
153. #1921C22semidirect
154. #1919C22semidirect
155. #1916C22semidirect
156. #1916C22semidirect
157. #1893C22semidirect
158. #1892C22semidirect
160. #1880C22semidirect
163. #1879C22semidirect
164. #1879C22semidirect
166. #1877C22semidirect
169. #1875C22semidirect
170. #1875C22semidirect
175. #1869C22semidirect
176. #1869C22semidirect
178. #1864C22semidirect
179. #1864C22semidirect
180. #1864C22semidirect
182. #1862C22semidirect
183. #1862C22semidirect
184. #1862C22semidirect
185. #1854C22semidirect
186. #1854C22semidirect
187. #1853C22semidirect
188. #1852C22semidirect
189. #1850C22semidirect
190. #1850C22semidirect
191. #1824C22semidirect
192. #1823C22semidirect
193. #1817C22semidirect
194. #1808C22semidirect
195. #1807C22semidirect
196. #1805C22semidirect
197. #1804C22semidirect
198. #1804C22semidirect
199. #1804C22semidirect
200. #1797C22semidirect

Maximal subgroups

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

subgroupindex
#590412
#399622
#315292
#315272
#313642
#313622
#313242
#313222
#310282
#310202
#305992
#305912
#305602
#305582
#301112
#296672
#292392
#268962
#268882
#259602
#259522
#251602
#251522
#244322
#244242
#241252
#241242
#240622
#239662
#239632
#233262