Finite Group Databasebeta

← #7301095

Subgroups — #7301095

Order 512.

1845 conjugacy classes of subgroups.

The subgroup lattice has 1492 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59017C211yesmaximal, characteristic, complemented
2#39466C211yesmaximal, characteristic, complemented
3#32064C211yesmaximal, characteristic, complemented
4#32006C211yesmaximal, characteristic, complemented
5#31961C211yesmaximal, characteristic, complemented
6#31951C211yesmaximal, characteristic, complemented
7#31846C211yesmaximal, characteristic, complemented
8#31781C211yesmaximal, characteristic, complemented
9#31379C211yesmaximal, characteristic, complemented
10#31125C211yesmaximal, characteristic, complemented
11#31068C211yesmaximal, characteristic, complemented
12#31046C211yesmaximal, characteristic, complemented
13#30560C211yesmaximal, characteristic, complemented
14#30398C211yesmaximal, characteristic, complemented
15#29897C211yesmaximal, characteristic, complemented
16#29601C211yesmaximal, characteristic, complemented
17#27243C211yesmaximal, characteristic, complemented
18#26951C211yesmaximal, characteristic, complemented
19#26553C211yesmaximal, characteristic, complemented
20#25167C211yesmaximal, characteristic, complemented
21#24978C211yesmaximal, characteristic, complemented
22#24921C211yesmaximal, characteristic, complemented
23#24900C211yesmaximal, characteristic, complemented
24#24872C211yesmaximal, characteristic, complemented
25#24428C211yesmaximal, characteristic, complemented
26#24247C211yesmaximal, characteristic, complemented
27#24131C211yesmaximal, characteristic, complemented
28#24009C211yesmaximal, characteristic, complemented
29#23968C211yesmaximal, characteristic, complemented
30#23920C211yesmaximal, characteristic, complemented
31#23307C211yesmaximal, characteristic, complemented
32C2×#556C2211yescharacteristic, complemented
33C2×#546C2211yescharacteristic
34C2×#525C2211yescharacteristic
35C22×#121C2211yescharacteristic
36C2×#485C2211yescharacteristic, complemented
37C2×#482C2211yescharacteristic
38C2×#482C2211yescharacteristic
39C2×#476C2211yescharacteristic, complemented
40C2×#466C2211yescharacteristic, complemented
41C2×#464C2211yescharacteristic, complemented
42C2×#452C2211yescharacteristic, complemented
43C2×#452C2211yescharacteristic, complemented
44C2×#449C2211yescharacteristic
45C2×#449C2211yescharacteristic
46C2×#449C2211yescharacteristic, complemented
47C2×#450C2211yescharacteristic
48C2×#447C2211yescharacteristic
49C2×#440C2211yescharacteristic, complemented
50C2×C4×SD16C2211yescharacteristic, complemented
51C2×#416C2211yescharacteristic, complemented
52#2848C2211yescharacteristic
53#2708—21no—
54#2708—21no—
55#2688—21no—
56#2688—21no—
57#2685—21no—
58#2670—21no—
59#2613—21no—
60#2554—21no—
61#2536C2211yescharacteristic
62#2535C2211yescharacteristic
63#2535C2211yescharacteristic
64#2503C2211yescharacteristic
65#2500C2211yescharacteristic, complemented
66#2491C2211yescharacteristic
67#2486C2211yescharacteristic
68#2483—21no—
69#2468—21no—
70#2467—21no—
71#2459—21no—
72#2458—21no—
73#2439C2211yescharacteristic, complemented
74#2427C2211yescharacteristic
75#2427C2211yescharacteristic
76#2423C2211yescharacteristic
77#2420C2211yescharacteristic
78#2420C2211yescharacteristic
79#2414C2211yescharacteristic
80#2414C2211yescharacteristic, complemented
81#2412—21no—
82#2407C2211yescharacteristic
83#2407C2211yescharacteristic
84#2407C2211yescharacteristic, complemented
85#2367—21no—
86#2362C2211yescharacteristic, complemented
87#2354C2211yescharacteristic, complemented
88#2341C2211yescharacteristic, complemented
89D4×C22⋊C4C2211yescharacteristic
90#2308—21no—
91C4×#120C2211yescharacteristic
92#2280C2211yescharacteristic
93#2101C2211yescharacteristic, complemented
94#2097C2211yescharacteristic, complemented
95#2093C2211yescharacteristic, complemented
96#2092C2211yescharacteristic, complemented
97#2088C2211yescharacteristic, complemented
98#2085C2211yescharacteristic, complemented
99#2085C2211yescharacteristic, complemented
100#2077C2211yescharacteristic
101#2077C2211yescharacteristic, complemented
102#2076C2211yescharacteristic
103#2075C2211yescharacteristic, complemented
104#2075C2211yescharacteristic, complemented
105#2073C2211yescharacteristic, complemented
106#2072C2211yescharacteristic, complemented
107#2067C2211yescharacteristic, complemented
108#2066C2211yescharacteristic, complemented
109#2055C2211yescharacteristic, complemented
110#2055C2211yescharacteristic, complemented
111#2054C2211yescharacteristic, complemented
112#2042C2211yescharacteristic, complemented
113#2036C2211yescharacteristic
114#2036C2211yescharacteristic
115#2036C2211yescharacteristic, complemented
116#2035C2211yescharacteristic
117#2035C2211yescharacteristic, complemented
118#2035C2211yescharacteristic, complemented
119#2035C2211yescharacteristic, complemented
120#2034C2211yescharacteristic
121#2034C2211yescharacteristic
122#2034C2211yescharacteristic
123#2034C2211yescharacteristic, complemented
124#2034C2211yescharacteristic, complemented
125#2034C2211yescharacteristic, complemented
126#2033C2211yescharacteristic
127#2033C2211yescharacteristic
128#2033C2211yescharacteristic, complemented
129#2024C2211yescharacteristic, complemented
130#2023C2211yescharacteristic, complemented
131#2012C2211yescharacteristic, complemented
132#2001C2211yescharacteristic
133#2001C2211yescharacteristic, complemented
134#2000C2211yescharacteristic
135#2000C2211yescharacteristic
136#2000C2211yescharacteristic
137#2000C2211yescharacteristic, complemented
138#2000C2211yescharacteristic, complemented
139#1999C2211yescharacteristic
140#1999C2211yescharacteristic
141#1993C2211yescharacteristic, complemented
142#1973C2211yescharacteristic, complemented
143#1972C2211yescharacteristic, complemented
144#1971C2211yescharacteristic, complemented
145#1958C2211yescharacteristic, complemented
146#1955C2211yescharacteristic, complemented
147#1955C2211yescharacteristic, complemented
148#1954C2211yescharacteristic
149#1949C2211yescharacteristic, complemented
150#1941C2211yescharacteristic, complemented
151#1936C2211yescharacteristic, complemented
152#1934C2211yescharacteristic, complemented
153#1928C2211yescharacteristic, complemented
154#1926C2211yescharacteristic, complemented
155#1924C2211yescharacteristic
156#1924C2211yescharacteristic
157#1924C2211yescharacteristic, complemented
158#1924C2211yescharacteristic, complemented
159#1923C2211yescharacteristic, complemented
160#1923C2211yescharacteristic, complemented
161#1892C2211yescharacteristic, complemented
162#1880C2211yescharacteristic, complemented
163#1879C2211yescharacteristic, complemented
164#1879C2211yescharacteristic, complemented
165#1879C2211yescharacteristic, complemented
166#1878C2211yescharacteristic, complemented
167#1877C2211yescharacteristic, complemented
168#1875C2211yescharacteristic
169#1875C2211yescharacteristic
170#1875C2211yescharacteristic
171#1875C2211yescharacteristic
172#1875C2211yescharacteristic, complemented
173#1874C2211yescharacteristic
174#1873C2211yescharacteristic, complemented
175#1873C2211yescharacteristic, complemented
176#1872C2211yescharacteristic
177#1869C2211yescharacteristic
178#1869C2211yescharacteristic, complemented
179#1869C2211yescharacteristic, complemented
180#1863C2211yescharacteristic, complemented
181#1863C2211yescharacteristic, complemented
182#1862C2211yescharacteristic, complemented
183#1862C2211yescharacteristic, complemented
184#1854C2211yescharacteristic, complemented
185#1854C2211yescharacteristic, complemented
186#1854C2211yescharacteristic, complemented
187#1853C2211yescharacteristic
188#1852C2211yescharacteristic
189#1836C2211yescharacteristic, complemented
190#1825C2211yescharacteristic, complemented
191#1825C2211yescharacteristic, complemented
192#1808C2211yescharacteristic, complemented
193#1805C2211yescharacteristic, complemented
194#1804C2211yescharacteristic, complemented
195#1802C2211yescharacteristic, complemented
196#1788C2211yescharacteristic, complemented
197#1788C2211yescharacteristic, complemented
198#1786C2211yescharacteristic
199#1786C2211yescharacteristic
200#1779C2211yescharacteristic
201#1779C2211yescharacteristic
202#1762C2211yescharacteristic, complemented
203C22×#41C2311yescharacteristic
204C22×#41C2311yescharacteristic
205C23×D4—21no—
206C23×D4C2311yescharacteristic
207C24×C4C2311yescharacteristic
208C22×Q16C2311yescharacteristic
209C22×SD16C2311yescharacteristic
210C22×SD16C2311yescharacteristic
211C22×SD16C2311yescharacteristic
212C22×D8C2311yescharacteristic
213C22×D8C2311yescharacteristic
214C23×C8C2311yescharacteristic
215#556—42no—
216#556—42no—
217#546—42no—
218#546—42no—
219C2×C4⋊Q8C2311yescharacteristic
220C2×#126—21no—
221C2×#126—21no—
222C2×#124—21no—
223C2×#124—21no—
224C2×#124C2311yescharacteristic
225#525—42no—
226#525—42no—
227C2×#123—21no—
228C2×#123—21no—
229C2×#123—21no—
230C2×C22⋊Q8C2311yescharacteristic
231C2×C22⋊Q8C2311yescharacteristic
232C2×C22⋊Q8C2311yescharacteristic
233C2×C22⋊Q8C2311yescharacteristic
234C2×C22⋊Q8C2311yescharacteristic
235C2×C22⋊Q8C2311yescharacteristic
236C2×#121—21no—
237C2×#121—21no—
238C2×#121—21no—
239C2×#121—42no—
240C2×#121—42no—
241C2×#121C2311yescharacteristic
242C2×#121C2311yescharacteristic
243C2×#121C2311yescharacteristic
244C2×#121C2311yescharacteristic
245C2×#121C2311yescharacteristic
246C2×#121C2311yescharacteristic
247C2×#121C2311yescharacteristic
248C2×#121C2311yescharacteristic
249C2×#120—21no—
250C2×#120—21no—
251C2×#120D411yescharacteristic
252C2×C4×Q8—21no—
253C2×C4×Q8C2311yescharacteristic
254C2×C4×Q8C2311yescharacteristic
255C2×C4×D4—21no—
256C2×C4×D4—21no—
257C2×C4×D4C2311yescharacteristic
258C2×C4×D4C2311yescharacteristic
259C2×C4×D4C2311yescharacteristic
260C2×C4×D4C2311yescharacteristic
261C2×C4×D4C2311yescharacteristic
262C2×C4×D4C2311yescharacteristic
263C2×#117C2311yescharacteristic
264C2×#117C2311yescharacteristic
265C2×#117C2311yescharacteristic
266C2×#117C2311yescharacteristic
267C22×C4⋊C4C2311yescharacteristic
268C22×C22⋊C4—21no—
269C22×C22⋊C4—21no—
270C22×C22⋊C4—21no—
271#485—42no—
272#482—42no—
273#482—42no—
274#476—42no—
275#466—42no—
276#464—42no—
277#452—42no—
278#452—42no—
279#450—42no—
280#449—42no—
281#449—42no—
282#449—42no—
283#447—42no—
284#440—42no—
285C4×SD16—42no—
286C2×#107C2311yescharacteristic
287C2×#107C2311yescharacteristic
288C2×#107C2311yescharacteristic
289C2×#107C2311yescharacteristic
290C2×#107C2311yescharacteristic
291C2×#106C2311yescharacteristic
292C2×#106C2311yescharacteristic
293C2×#106C2311yescharacteristic
294C2×#106C2311yescharacteristic
295C2×#106C2311yescharacteristic
296C2×C4⋊C8C2311yescharacteristic
297C2×C4⋊C8C2311yescharacteristic
298C2×C4⋊C8C2311yescharacteristic
299#416—42no—
300C2×#103C2311yescharacteristic
301C2×#103C2311yescharacteristic
302C2×#103C2311yescharacteristic
303C2×#103C2311yescharacteristic
304C2×#103C2311yescharacteristic
305C2×#103C2311yescharacteristic
306C2×#103C2311yescharacteristic
307C2×#103C2311yescharacteristic
308C2×#103C2311yescharacteristic
309C2×#103C2311yescharacteristic
310C2×#103C2311yescharacteristic
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×C22⋊C8C2311yescharacteristic
329C2×C22⋊C8C2311yescharacteristic
330C2×C22⋊C8C2311yescharacteristic
331C2×C22⋊C8C2311yescharacteristic
332C2×C22⋊C8C2311yescharacteristic
333C2×C22⋊C8C2311yescharacteristic
334C2×C22⋊C8C2311yescharacteristic
335C2×C22⋊C8C2311yescharacteristic
336C2×C22⋊C8C2311yescharacteristic
337C2×C22⋊C8C2311yescharacteristic
338C2×C22⋊C8C2311yescharacteristic
339C2×C22⋊C8C2311yescharacteristic
340C2×C22⋊C8C2311yescharacteristic
341C2×C22⋊C8C2311yescharacteristic
342C2×C22⋊C8C2311yescharacteristic
343C2×#97C2311yescharacteristic
344C2×#97C2311yescharacteristic
345C2×C4×C8C2311yescharacteristic
346#400—21no—
347#400—21no—
348#399—21no—
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#396—21no—
360#394—21no—
361#394—21no—
362#394—21no—
363#394—21no—
364#394—21no—
365#394—21no—
366#394—21no—
367#394—21no—
368#394—21no—
369#394—21no—
370#394—21no—
371#394—21no—
372#394—21no—
373#393—21no—
374#393—21no—
375#392—21no—
376#392—21no—
377#392—21no—
378#392—21no—
379#392—21no—
380#392—21no—
381#392—21no—
382#391—21no—
383#391C2311yescharacteristic
384#391C2311yescharacteristic
385#391C2311yescharacteristic
386#390—21no—
387#390—21no—
388#390—21no—
389#390—21no—
390#390—21no—
391#390C2311yescharacteristic
392#390C2311yescharacteristic
393#390C2311yescharacteristic
394#390C2311yescharacteristic
395#390C2311yescharacteristic
396#389C2311yescharacteristic
397#389C2311yescharacteristic
398#389C2311yescharacteristic
399#389C2311yescharacteristic
400#388—21no—
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#387—21no—
413#387—21no—
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#386D411yescharacteristic
429#386D411yescharacteristic
430#386D411yescharacteristic
431#385—21no—
432#385—21no—
433#385—21no—
434#385—21no—
435#385—21no—
436#385—21no—
437#385D411yescharacteristic
438#385D411yescharacteristic
439#385D411yescharacteristic
440#384C2311yescharacteristic
441#382C2311yescharacteristic
442#382C2311yescharacteristic
443#382C2311yescharacteristic
444#381—21no—
445#381—21no—
446#381—21no—
447#381—21no—
448#381—21no—
449#381—21no—
450#380—21no—
451#380—21no—
452#380—21no—
453#380C2311yescharacteristic
454#380C2311yescharacteristic
455#380C2311yescharacteristic
456#380C2311yescharacteristic
457#380C2311yescharacteristic
458#380C2311yescharacteristic
459#380C2311yescharacteristic
460#380C2311yescharacteristic
461#380C2311yescharacteristic
462#380C2311yescharacteristic
463#379—21no—
464#379—21no—
465#379—21no—
466#379D411yescharacteristic
467C4×C4⋊C4—21no—
468C4×C4⋊C4—21no—
469C4×C4⋊C4C2311yescharacteristic
470C4×C22⋊C4—21no—
471C4×C22⋊C4—21no—
472C4×C22⋊C4—21no—
473C4×C22⋊C4C2311yescharacteristic
474C4×C22⋊C4C2311yescharacteristic
475C4×C22⋊C4C2311yescharacteristic
476#340C2311yescharacteristic
477#340C2311yescharacteristic
478#340C2311yescharacteristic
479#340C2311yescharacteristic
480#340C2311yescharacteristic
481#340C2311yescharacteristic
482#340C2311yescharacteristic
483#340C2311yescharacteristic
484#340C2311yescharacteristic
485#340C2311yescharacteristic
486#340C2311yescharacteristic
487#340C2311yescharacteristic
488#340C2311yescharacteristic
489#340C2311yescharacteristic
490#340C2311yescharacteristic
491#340C2311yescharacteristic
492#340C2311yescharacteristic
493#340C2311yescharacteristic
494#340C2311yescharacteristic
495#340C2311yescharacteristic
496#336C2311yescharacteristic
497#336C2311yescharacteristic
498#336C2311yescharacteristic
499#336C2311yescharacteristic
500#336C2311yescharacteristic
501#336C2311yescharacteristic
502C25—21no—
503C25C2×D411yescharacteristic
504C2×#41—22no—
505C2×#41—22no—
506C2×#41—41no—
507C2×#41—41no—
508C2×#41—41no—
509C2×#41—41no—
510C2×#41—41no—
511C2×#41—41no—
512C2×#41—41no—
513C2×#41—41no—
514C2×#41—41no—
515C2×#41—41no—
516C22×Q8—21no—
517C22×Q8C2411yescharacteristic
518C22×Q8C2411yescharacteristic
519C22×D4—22no—
520C22×D4—22no—
521C22×D4—21no—
522C22×D4—21no—
523C22×D4—21no—
524C22×D4—21no—
525C22×D4—21no—
526C22×D4—21no—
527C22×D4—21no—
528C22×D4—21no—
529C22×D4—21no—
530C22×D4—21no—
531C22×D4—21no—
532C22×D4—41no—
533C22×D4—41no—
534C22×D4—41no—
535C22×D4—41no—
536C22×D4—44no—
537C22×D4—44no—
538C22×D4—82no—
539C22×D4C2×D411yescharacteristic
540C22×D4C2×D411yescharacteristic
541C22×D4C2×D411yescharacteristic
542C22×D4C2411yescharacteristic
543C22×D4C2411yescharacteristic
544C22×D4C2411yescharacteristic
545C23×C4—21no—
546C23×C4—21no—
547C23×C4—21no—
548C23×C4—21no—
549C23×C4—21no—
550C23×C4—21no—
551C23×C4—41no—
552C23×C4—41no—
553C23×C4—41no—
554C23×C4—41no—
555C23×C4—41no—
556C23×C4—41no—
557C23×C4C2×D411yescharacteristic
558C23×C4C2×D411yescharacteristic
559C23×C4C2×D411yescharacteristic
560C23×C4C2411yescharacteristic
561C23×C4C2411yescharacteristic
562C23×C4C2411yescharacteristic
563C23×C4C2411yescharacteristic
564C2×Q16—22no—
565C2×Q16—41no—
566C2×Q16—41no—
567C2×SD16—22no—
568C2×SD16—22no—
569C2×SD16—22no—
570C2×SD16—22no—
571C2×SD16—41no—
572C2×SD16—41no—
573C2×SD16—41no—
574C2×SD16—41no—
575C2×SD16—41no—
576C2×D8—22no—
577C2×D8—22no—
578C2×D8—41no—
579C2×D8—41no—
580C2×D8—41no—
581C2×D8—41no—
582C22×C8—41no—
583C22×C8—41no—
584C22×C8—41no—
585C22×C8C2411yescharacteristic
586C22×C8C2411yescharacteristic
587C22×C8C2411yescharacteristic
588C22×C8C2411yescharacteristic
589C22×C8C2411yescharacteristic
590C22×C8C2411yescharacteristic
591C22×C8C2411yescharacteristic
592C22×C8C2411yescharacteristic
593C4⋊Q8—22no—
594C4⋊Q8—41no—
595#126—44no—
596#126—44no—
597#124—22no—
598#124—41no—
599#124—44no—
600#124—44no—
601#123—44no—
602#123—44no—
603#123—82no—
604C22⋊Q8—22no—
605C22⋊Q8—22no—
606C22⋊Q8—22no—
607C22⋊Q8—22no—
608C22⋊Q8—41no—
609C22⋊Q8—41no—
610C22⋊Q8—41no—
611C22⋊Q8—41no—
612C22⋊Q8—41no—
613C22⋊Q8—41no—
614C22⋊Q8—41no—
615C22⋊Q8—41no—
616#121—22no—
617#121—22no—
618#121—22no—
619#121—22no—
620#121—22no—
621#121—22no—
622#121—41no—
623#121—41no—
624#121—41no—
625#121—41no—
626#121—41no—
627#121—41no—
628#121—41no—
629#121—41no—
630#121—44no—
631#121—44no—
632#121—44no—
633#121—41no—
634#121—41no—
635#120—42no—
636#120—44no—
637#120—44no—
638C4×Q8—22no—
639C4×Q8—41no—
640C4×Q8—41no—
641C4×Q8—41no—
642C4×Q8—44no—
643C4×D4—22no—
644C4×D4—41no—
645C4×D4—41no—
646C4×D4—41no—
647C4×D4—41no—
648C4×D4—41no—
649C4×D4—41no—
650C4×D4—41no—
651C4×D4—41no—
652C4×D4—41no—
653C4×D4—41no—
654C4×D4—41no—
655C4×D4—44no—
656C4×D4—44no—
657#117—22no—
658#117—22no—
659#117—41no—
660#117—41no—
661#117—41no—
662#117—41no—
663#117—41no—
664#117—41no—
665C2×C4⋊C4—21no—
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—41no—
682C2×C4⋊C4—41no—
683C2×C4⋊C4C2×D411yescharacteristic
684C2×C4⋊C4C2×D411yescharacteristic
685C2×C4⋊C4C2×D411yescharacteristic
686C2×C4⋊C4C2411yescharacteristic
687C2×C4⋊C4C2411yescharacteristic
688C2×C4⋊C4C2411yescharacteristic
689C2×C4⋊C4C2411yescharacteristic
690C2×C4⋊C4C2411yescharacteristic
691C2×C4⋊C4C2411yescharacteristic
692C2×C4⋊C4C2411yescharacteristic
693C2×C4⋊C4C2411yescharacteristic
694C2×C4⋊C4C2411yescharacteristic
695C2×C4⋊C4C2411yescharacteristic
696C2×C4⋊C4C2411yescharacteristic
697C2×C22⋊C4—21no—
698C2×C22⋊C4—21no—
699C2×C22⋊C4—21no—
700C2×C22⋊C4—21no—
701C2×C22⋊C4—21no—
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—44no—
741C2×C22⋊C4—44no—
742C2×C22⋊C4—82no—
743C2×C22⋊C4C2×D411yescharacteristic
744C2×C22⋊C4C2×D411yescharacteristic
745C2×C22⋊C4C2×D411yescharacteristic
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×C42—21no—
756C2×C42—21no—
757C2×C42—21no—
758C2×C42—21no—
759C2×C42—21no—
760C2×C42—21no—
761C2×C42—21no—
762C2×C42C2411yescharacteristic
763C2×C42C2411yescharacteristic
764C2×C42C2411yescharacteristic
765#107—41no—
766#107—41no—
767#107—41no—
768#107—41no—
769#107—41no—
770#106—22no—
771#106—41no—
772#106—41no—
773#106—41no—
774#106—41no—
775C4⋊C8—41no—
776C4⋊C8—41no—
777C4⋊C8—41no—
778#103—22no—
779#103—22no—
780#103—41no—
781#103—41no—
782#103—41no—
783#103—41no—
784#103—41no—
785#103—41no—
786#103—41no—
787#103—41no—
788#103—41no—
789#102—22no—
790#102—22no—
791#102—22no—
792#102—22no—
793#102—22no—
794#102—22no—
795#102—41no—
796#102—41no—
797#102—41no—
798#102—41no—
799#102—41no—
800#102—41no—
801#102—41no—
802#102—41no—
803#102—41no—
804#102—41no—
805#102—41no—
806C22⋊C8—41no—
807C22⋊C8—41no—
808C22⋊C8—41no—
809C22⋊C8—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—
820C22⋊C8—41no—
821#97—41no—
822#97—41no—
823C4×C8—41no—
824#95—21no—
825#95—21no—
826#95—21no—
827#95—21no—
828#95—21no—
829#95—21no—
830#95—21no—
831#95—21no—
832#95—21no—
833#95—21no—
834#95—21no—
835#95—21no—
836#95—21no—
837#95—21no—
838#95—21no—
839#95—21no—
840#95—21no—
841#95—21no—
842#95—21no—
843#95—21no—
844#95—21no—
845#95—21no—
846#95—21no—
847#95—21no—
848#95—21no—
849#95—21no—
850#95—21no—
851#95C2×D411yescharacteristic
852#95C2×D411yescharacteristic
853#95C2×D411yescharacteristic
854#95C2×D411yescharacteristic
855#95C2×D411yescharacteristic
856#95C2×D411yescharacteristic
857C24—24no—
858C24—21no—
859C24—21no—
860C24—22no—
861C24—21no—
862C24—41no—
863C24—41no—
864C24—41no—
865C24—41no—
866C24—41no—
867C24—41no—
868C24—42no—
869C24—42no—
870C24—81no—
871C24—81no—
872C24—81no—
873C24—81no—
874C24C22×D411yescharacteristic
875C24C22×D411yescharacteristic
876C24C22×D411yescharacteristic
877C24C22×D411yescharacteristic
878#41—44no—
879#41—82no—
880#41—82no—
881#41—82no—
882#41—82no—
883#41—82no—
884#41—82no—
885#41—82no—
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—42no—
898C2×Q8—42no—
899C2×Q8—81no—
900C2×Q8H(5,𝔽2)12yes—
901C2×D4—24no—
902C2×D4—22no—
903C2×D4—21no—
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—41no—
920C2×D4—41no—
921C2×D4—41no—
922C2×D4—41no—
923C2×D4—41no—
924C2×D4—41no—
925C2×D4—41no—
926C2×D4—41no—
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—42no—
938C2×D4—42no—
939C2×D4—42no—
940C2×D4—42no—
941C2×D4—42no—
942C2×D4—81no—
943C2×D4—81no—
944C2×D4—82no—
945C2×D4—82no—
946C2×D4—82no—
947C2×D4—82no—
948C2×D4—81no—
949C2×D4—81no—
950C2×D4—81no—
951C2×D4—81no—
952C2×D4—81no—
953C2×D4—81no—
954C2×D4—81no—
955C2×D4—81no—
956C2×D4—81no—
957C2×D4—81no—
958C2×D4—81no—
959C2×D4—81no—
960C2×D4—81no—
961C2×D4—81no—
962C2×D4—81no—
963C2×D4—816no—
964C2×D4H(5,𝔽2)12yes—
965C2×D4H(5,𝔽2)12yes—
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—21no—
983C22×C4—21no—
984C22×C4—21no—
985C22×C4—21no—
986C22×C4—21no—
987C22×C4—21no—
988C22×C4—21no—
989C22×C4—21no—
990C22×C4—21no—
991C22×C4—21no—
992C22×C4—21no—
993C22×C4—21no—
994C22×C4—21no—
995C22×C4—21no—
996C22×C4—21no—
997C22×C4—21no—
998C22×C4—21no—
999C22×C4—21no—
1000C22×C4—21no—
1001C22×C4—21no—
1002C22×C4—21no—
1003C22×C4—41no—
1004C22×C4—41no—
1005C22×C4—41no—
1006C22×C4—41no—
1007C22×C4—41no—
1008C22×C4—41no—
1009C22×C4—41no—
1010C22×C4—41no—
1011C22×C4—41no—
1012C22×C4—42no—
1013C22×C4—42no—
1014C22×C4—42no—
1015C22×C4—42no—
1016C22×C4—42no—
1017C22×C4—42no—
1018C22×C4—42no—
1019C22×C4—81no—
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—82no—
1031C22×C4—82no—
1032C22×C4—82no—
1033C22×C4—82no—
1034C22×C4C22×D411yescharacteristic
1035C22×C4C22×D411yescharacteristic
1036C22×C4C22×D411yescharacteristic
1037C22×C4C22×D411yescharacteristic
1038C22×C4C22×D411yescharacteristic
1039C22×C4C22×D411yescharacteristic
1040C22×C4C22×D411yescharacteristic
1041C22×C4C22×D411yescharacteristic
1042C22×C4C22×D411yescharacteristic
1043C22×C4C22×D411yescharacteristic
1044C22×C4C2511yescharacteristic
1045Q16—82no—
1046SD16—44no—
1047SD16—44no—
1048SD16—82no—
1049D8—82no—
1050D8—82no—
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—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—82no—
1076C4⋊C4—24no—
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—21no—
1088C4⋊C4—21no—
1089C4⋊C4—21no—
1090C4⋊C4—21no—
1091C4⋊C4—21no—
1092C4⋊C4—21no—
1093C4⋊C4—21no—
1094C4⋊C4—21no—
1095C4⋊C4—21no—
1096C4⋊C4—21no—
1097C4⋊C4—21no—
1098C4⋊C4—41no—
1099C4⋊C4—41no—
1100C4⋊C4—41no—
1101C4⋊C4—42no—
1102C4⋊C4—42no—
1103C4⋊C4—42no—
1104C4⋊C4—42no—
1105C4⋊C4—42no—
1106C4⋊C4—42no—
1107C4⋊C4—81no—
1108C4⋊C4—81no—
1109C4⋊C4—81no—
1110C4⋊C4—81no—
1111C4⋊C4—81no—
1112C4⋊C4—81no—
1113C4⋊C4—81no—
1114C4⋊C4—81no—
1115C4⋊C4—81no—
1116C4⋊C4H(5,𝔽2)12yes—
1117C22⋊C4—24no—
1118C22⋊C4—22no—
1119C22⋊C4—41no—
1120C22⋊C4—41no—
1121C22⋊C4—41no—
1122C22⋊C4—41no—
1123C22⋊C4—41no—
1124C22⋊C4—41no—
1125C22⋊C4—41no—
1126C22⋊C4—41no—
1127C22⋊C4—41no—
1128C22⋊C4—41no—
1129C22⋊C4—41no—
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—42no—
1139C22⋊C4—42no—
1140C22⋊C4—42no—
1141C22⋊C4—42no—
1142C22⋊C4—42no—
1143C22⋊C4—42no—
1144C22⋊C4—42no—
1145C22⋊C4—42no—
1146C22⋊C4—42no—
1147C22⋊C4—42no—
1148C22⋊C4—42no—
1149C22⋊C4—42no—
1150C22⋊C4—81no—
1151C22⋊C4—81no—
1152C22⋊C4—81no—
1153C22⋊C4—81no—
1154C22⋊C4—81no—
1155C22⋊C4—81no—
1156C22⋊C4—81no—
1157C22⋊C4—81no—
1158C22⋊C4—81no—
1159C22⋊C4—81no—
1160C22⋊C4—81no—
1161C22⋊C4—81no—
1162C22⋊C4—81no—
1163C22⋊C4—81no—
1164C22⋊C4—81no—
1165C22⋊C4—81no—
1166C22⋊C4—81no—
1167C22⋊C4—81no—
1168C22⋊C4—81no—
1169C22⋊C4—81no—
1170C22⋊C4—81no—
1171C22⋊C4—81no—
1172C42—21no—
1173C42—21no—
1174C42—21no—
1175C42—21no—
1176C42—21no—
1177C42—21no—
1178C42—42no—
1179C42—42no—
1180C42—42no—
1181C42—42no—
1182C42—42no—
1183C42—81no—
1184C42—81no—
1185C23—21no—
1186C23—21no—
1187C23—21no—
1188C23—21no—
1189C23—21no—
1190C23—21no—
1191C23—21no—
1192C23—21no—
1193C23—21no—
1194C23—21no—
1195C23—21no—
1196C23—21no—
1197C23—21no—
1198C23—21no—
1199C23—21no—
1200C23—21no—
1201C23—21no—
1202C23—22no—
1203C23—22no—
1204C23—21no—
1205C23—21no—
1206C23—21no—
1207C23—21no—
1208C23—21no—
1209C23—21no—
1210C23—21no—
1211C23—21no—
1212C23—21no—
1213C23—21no—
1214C23—44no—
1215C23—48no—
1216C23—41no—
1217C23—41no—
1218C23—41no—
1219C23—41no—
1220C23—41no—
1221C23—41no—
1222C23—41no—
1223C23—41no—
1224C23—41no—
1225C23—41no—
1226C23—41no—
1227C23—41no—
1228C23—41no—
1229C23—41no—
1230C23—41no—
1231C23—41no—
1232C23—41no—
1233C23—41no—
1234C23—41no—
1235C23—82no—
1236C23—82no—
1237C23—82no—
1238C23—82no—
1239C23—82no—
1240C23—82no—
1241C23—84no—
1242C23—84no—
1243C23—162no—
1244C23—162no—
1245C23—162no—
1246C23—162no—
1247C23#57512yes—
1248C23C23×D411yescharacteristic
1249Q8—22no—
1250Q8—22no—
1251Q8—41no—
1252Q8—41no—
1253Q8—41no—
1254Q8—41no—
1255Q8—41no—
1256Q8—41no—
1257Q8—84no—
1258D4—22no—
1259D4—22no—
1260D4—22no—
1261D4—22no—
1262D4—41no—
1263D4—41no—
1264D4—41no—
1265D4—41no—
1266D4—41no—
1267D4—41no—
1268D4—41no—
1269D4—41no—
1270D4—82no—
1271D4—84no—
1272D4—84no—
1273D4—82no—
1274D4—82no—
1275D4—84no—
1276D4—84no—
1277D4—84no—
1278D4—84no—
1279D4—84no—
1280D4—84no—
1281D4—84no—
1282D4—162no—
1283D4—162no—
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—21no—
1293C2×C4—21no—
1294C2×C4—21no—
1295C2×C4—21no—
1296C2×C4—21no—
1297C2×C4—22no—
1298C2×C4—21no—
1299C2×C4—21no—
1300C2×C4—21no—
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—21no—
1310C2×C4—21no—
1311C2×C4—21no—
1312C2×C4—21no—
1313C2×C4—21no—
1314C2×C4—21no—
1315C2×C4—21no—
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—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—82no—
1370C2×C4—82no—
1371C2×C4—82no—
1372C2×C4—84no—
1373C2×C4—84no—
1374C2×C4—84no—
1375C2×C4—162no—
1376C2×C4—162no—
1377C2×C4—162no—
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
1383C2×C4#58511yescharacteristic
1384C8—41no—
1385C8—41no—
1386C8—41no—
1387C8—41no—
1388C8—41no—
1389C8—41no—
1390C8—41no—
1391C8—41no—
1392C22—22no—
1393C22—22no—
1394C22—22no—
1395C22—41no—
1396C22—41no—
1397C22—41no—
1398C22—41no—
1399C22—41no—
1400C22—41no—
1401C22—41no—
1402C22—41no—
1403C22—41no—
1404C22—41no—
1405C22—41no—
1406C22—41no—
1407C22—42no—
1408C22—42no—
1409C22—41no—
1410C22—41no—
1411C22—41no—
1412C22—41no—
1413C22—41no—
1414C22—41no—
1415C22—41no—
1416C22—42no—
1417C22—41no—
1418C22—42no—
1419C22—41no—
1420C22—41no—
1421C22—41no—
1422C22—41no—
1423C22—41no—
1424C22—42no—
1425C22—42no—
1426C22—88no—
1427C22—81no—
1428C22—81no—
1429C22—81no—
1430C22—81no—
1431C22—81no—
1432C22—81no—
1433C22—81no—
1434C22—81no—
1435C22—81no—
1436C22—81no—
1437C22—81no—
1438C22—81no—
1439C22—81no—
1440C22—81no—
1441C22—81no—
1442C22—168no—
1443C22#348411yescharacteristic
1444C22#348411yescharacteristic
1445C22#348511yescharacteristic
1446C22C2×#57511yescharacteristic
1447C22#358411yescharacteristic
1448C22#358411yescharacteristic
1449C22#358511yescharacteristic
1450C4—41no—
1451C4—41no—
1452C4—41no—
1453C4—41no—
1454C4—42no—
1455C4—41no—
1456C4—41no—
1457C4—41no—
1458C4—41no—
1459C4—41no—
1460C4—41no—
1461C4—42no—
1462C4—81no—
1463C4—81no—
1464C4—81no—
1465C4—81no—
1466C4—81no—
1467C4—81no—
1468C4—81no—
1469C4—81no—
1470C4—81no—
1471C4—81no—
1472C4—81no—
1473C4#353411yescharacteristic
1474C4#353411yescharacteristic
1475C4#354211yescharacteristic
1476C4#355811yescharacteristic
1477C2—42no—
1478C2—81no—
1479C2—81no—
1480C2—81no—
1481C2—82no—
1482C2—82no—
1483C2—161no—
1484C2#4782611yescharacteristic
1485C2#6157611yescharacteristic
1486C2#6159711yescharacteristic
1487C2#6161611yescharacteristic
1488C2#6163611yescharacteristic
1489C2#6173211yescharacteristic
1490C2#6175111yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ C4×#120 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59017C2semidirect
2. #39466C2semidirect
3. #32064C2semidirect
4. #32006C2semidirect
5. #31961C2semidirect
6. #31951C2semidirect
7. #31846C2semidirect
8. #31781C2semidirect
9. #31379C2semidirect
10. #31125C2semidirect
11. #31068C2semidirect
12. #31046C2semidirect
13. #30560C2semidirect
14. #30398C2semidirect
15. #29897C2semidirect
16. #29601C2semidirect
17. #27243C2semidirect
18. #26951C2semidirect
19. #26553C2semidirect
20. #25167C2semidirect
21. #24978C2semidirect
22. #24921C2semidirect
23. #24900C2semidirect
24. #24872C2semidirect
25. #24428C2semidirect
26. #24247C2semidirect
27. #24131C2semidirect
28. #24009C2semidirect
29. #23968C2semidirect
30. #23920C2semidirect
31. #23307C2semidirect
32. C2×#556C22semidirect
36. C2×#485C22semidirect
39. C2×#476C22semidirect
40. C2×#466C22semidirect
41. C2×#464C22semidirect
42. C2×#452C22semidirect
43. C2×#452C22semidirect
46. C2×#449C22semidirect
49. C2×#440C22semidirect
50. C2×C4×SD16C22semidirect
51. C2×#416C22semidirect
65. #2500C22semidirect
73. #2439C22semidirect
80. #2414C22semidirect
84. #2407C22semidirect
86. #2362C22semidirect
87. #2354C22semidirect
88. #2341C22semidirect
93. #2101C22semidirect
94. #2097C22semidirect
95. #2093C22semidirect
96. #2092C22semidirect
97. #2088C22semidirect
98. #2085C22semidirect
99. #2085C22semidirect
101. #2077C22semidirect
103. #2075C22semidirect
104. #2075C22semidirect
105. #2073C22semidirect
106. #2072C22semidirect
107. #2067C22semidirect
108. #2066C22semidirect
109. #2055C22semidirect
110. #2055C22semidirect
111. #2054C22semidirect
112. #2042C22semidirect
115. #2036C22semidirect
117. #2035C22semidirect
118. #2035C22semidirect
119. #2035C22semidirect
123. #2034C22semidirect
124. #2034C22semidirect
125. #2034C22semidirect
128. #2033C22semidirect
129. #2024C22semidirect
130. #2023C22semidirect
131. #2012C22semidirect
133. #2001C22semidirect
137. #2000C22semidirect
138. #2000C22semidirect
141. #1993C22semidirect
142. #1973C22semidirect
143. #1972C22semidirect
144. #1971C22semidirect
145. #1958C22semidirect
146. #1955C22semidirect
147. #1955C22semidirect
149. #1949C22semidirect
150. #1941C22semidirect
151. #1936C22semidirect
152. #1934C22semidirect
153. #1928C22semidirect
154. #1926C22semidirect
157. #1924C22semidirect
158. #1924C22semidirect
159. #1923C22semidirect
160. #1923C22semidirect
161. #1892C22semidirect
162. #1880C22semidirect
163. #1879C22semidirect
164. #1879C22semidirect
165. #1879C22semidirect
166. #1878C22semidirect
167. #1877C22semidirect
172. #1875C22semidirect
174. #1873C22semidirect
175. #1873C22semidirect
178. #1869C22semidirect
179. #1869C22semidirect
180. #1863C22semidirect
181. #1863C22semidirect
182. #1862C22semidirect
183. #1862C22semidirect
184. #1854C22semidirect
185. #1854C22semidirect
186. #1854C22semidirect
189. #1836C22semidirect
190. #1825C22semidirect
191. #1825C22semidirect
192. #1808C22semidirect
193. #1805C22semidirect
194. #1804C22semidirect
195. #1802C22semidirect
196. #1788C22semidirect
197. #1788C22semidirect
202. #1762C22semidirect

Maximal subgroups

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

subgroupindex
#590172
#394662
#320642
#320062
#319612
#319512
#318462
#317812
#313792
#311252
#310682
#310462
#305602
#303982
#298972
#296012
#272432
#269512
#265532
#251672
#249782
#249212
#249002
#248722
#244282
#242472
#241312
#240092
#239682
#239202
#233072