Finite Group Databasebeta

← #6635544

Subgroups — #6635544

Order 512.

1955 conjugacy classes of subgroups.

The subgroup lattice has 1539 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#37448C211yesmaximal, characteristic, complemented
2#35540C211yesmaximal, characteristic, complemented
3#32917C211yesmaximal, characteristic, complemented
4#32911C211yesmaximal, characteristic, complemented
5#31961C211yesmaximal, characteristic, complemented
6#31958C211yesmaximal, characteristic, complemented
7#31953C211yesmaximal, characteristic, complemented
8#31946C211yesmaximal, characteristic, complemented
9#31942C211yesmaximal, characteristic, complemented
10#31941C211yesmaximal, characteristic, complemented
11#31933C211yesmaximal, characteristic, complemented
12#31930C211yesmaximal, characteristic, complemented
13#31011C211yesmaximal, characteristic, complemented
14#31008C211yesmaximal, characteristic, complemented
15#31001C211yesmaximal, characteristic, complemented
16#31000C211yesmaximal, characteristic, complemented
17#30995C211yesmaximal, characteristic, complemented
18#30992C211yesmaximal, characteristic, complemented
19#30985C211yesmaximal, characteristic, complemented
20#30984C211yesmaximal, characteristic, complemented
21#29769C211yesmaximal, characteristic, complemented
22#29765C211yesmaximal, characteristic, complemented
23#28321C211yesmaximal, characteristic, complemented
24#28319C211yesmaximal, characteristic, complemented
25#27986C211yesmaximal, characteristic, complemented
26#27984C211yesmaximal, characteristic, complemented
27#24009C211yesmaximal, characteristic, complemented
28#24008C211yesmaximal, characteristic, complemented
29#23920C211yesmaximal, characteristic, complemented
30#23918C211yesmaximal, characteristic, complemented
31#21910C211yesmaximal, characteristic, complemented
32C2×#525C2211yescharacteristic
33C22×#121C2211yescharacteristic
34C22×#121C2211yescharacteristic
35C2×#518C2211yescharacteristic, complemented
36C2×#485C2211yescharacteristic, complemented
37C2×#482C2211yescharacteristic
38C2×#482C2211yescharacteristic
39C2×#482C2211yescharacteristic, complemented
40C2×#463C2211yescharacteristic, complemented
41C2×#463C2211yescharacteristic, complemented
42C2×#459C2211yescharacteristic, complemented
43C2×#459C2211yescharacteristic, complemented
44C2×#449C2211yescharacteristic, complemented
45C2×#449C2211yescharacteristic, complemented
46C2×#450C2211yescharacteristic, complemented
47C2×#447C2211yescharacteristic
48C2×#447C2211yescharacteristic
49C2×#447C2211yescharacteristic
50C2×#447C2211yescharacteristic
51C2×#447C2211yescharacteristic, complemented
52#2813—21no—
53#2813—21no—
54#2635—21no—
55#2635—21no—
56#2620C2211yescharacteristic
57#2620C2211yescharacteristic
58#2619C2211yescharacteristic
59#2619C2211yescharacteristic
60#2613—21no—
61#2613—21no—
62#2534—21no—
63#2534—21no—
64#2503C2211yescharacteristic, complemented
65#2501C2211yescharacteristic, complemented
66#2500C2211yescharacteristic, complemented
67#2500C2211yescharacteristic, complemented
68#2483—21no—
69#2483—21no—
70#2435C2211yescharacteristic, complemented
71#2433C2211yescharacteristic, complemented
72#2431C2211yescharacteristic, complemented
73#2431C2211yescharacteristic, complemented
74#2422—21no—
75#2422—21no—
76#2422C2211yescharacteristic
77#2422C2211yescharacteristic
78#2422C2211yescharacteristic, complemented
79#2422C2211yescharacteristic, complemented
80#2420—21no—
81#2420—21no—
82#2420C2211yescharacteristic
83#2420C2211yescharacteristic
84#2420C2211yescharacteristic, complemented
85#2420C2211yescharacteristic, complemented
86#2405—21no—
87#2405—21no—
88#2317C2211yescharacteristic, complemented
89#2317C2211yescharacteristic, complemented
90#2309C2211yescharacteristic, complemented
91#2280C2211yescharacteristic
92#2280C2211yescharacteristic
93#2094C2211yescharacteristic, complemented
94#2093C2211yescharacteristic, complemented
95#2092C2211yescharacteristic, complemented
96#2092C2211yescharacteristic, complemented
97#2085C2211yescharacteristic, complemented
98#2085C2211yescharacteristic, complemented
99#2084C2211yescharacteristic, complemented
100#2083C2211yescharacteristic, complemented
101#2074C2211yescharacteristic, complemented
102#2073C2211yescharacteristic, complemented
103#2073C2211yescharacteristic, complemented
104#2073C2211yescharacteristic, complemented
105#2072C2211yescharacteristic, complemented
106#2071C2211yescharacteristic, complemented
107#2071C2211yescharacteristic, complemented
108#2071C2211yescharacteristic, complemented
109#2068C2211yescharacteristic, complemented
110#2067C2211yescharacteristic, complemented
111#2067C2211yescharacteristic, complemented
112#2067C2211yescharacteristic, complemented
113#2066C2211yescharacteristic, complemented
114#2065C2211yescharacteristic, complemented
115#2065C2211yescharacteristic, complemented
116#2065C2211yescharacteristic, complemented
117#2042C2211yescharacteristic, complemented
118#2042C2211yescharacteristic, complemented
119#2041C2211yescharacteristic, complemented
120#2041C2211yescharacteristic, complemented
121#2036C2211yescharacteristic, complemented
122#2035C2211yescharacteristic, complemented
123#2034C2211yescharacteristic, complemented
124#2034C2211yescharacteristic, complemented
125#2034C2211yescharacteristic, complemented
126#2033C2211yescharacteristic, complemented
127#2033C2211yescharacteristic, complemented
128#2033C2211yescharacteristic, complemented
129#2012C2211yescharacteristic, complemented
130#2012C2211yescharacteristic, complemented
131#2011C2211yescharacteristic, complemented
132#2011C2211yescharacteristic, complemented
133#2000C2211yescharacteristic
134#2000C2211yescharacteristic
135#1999C2211yescharacteristic
136#1999C2211yescharacteristic
137#1999C2211yescharacteristic
138#1999C2211yescharacteristic
139#1999C2211yescharacteristic
140#1999C2211yescharacteristic
141#1973C2211yescharacteristic, complemented
142#1972C2211yescharacteristic, complemented
143#1972C2211yescharacteristic, complemented
144#1972C2211yescharacteristic, complemented
145#1970C2211yescharacteristic, complemented
146#1970C2211yescharacteristic, complemented
147#1970C2211yescharacteristic, complemented
148#1968C2211yescharacteristic, complemented
149#1961C2211yescharacteristic, complemented
150#1959C2211yescharacteristic, complemented
151#1958C2211yescharacteristic, complemented
152#1957C2211yescharacteristic, complemented
153#1924C2211yescharacteristic, complemented
154#1924C2211yescharacteristic, complemented
155#1924C2211yescharacteristic, complemented
156#1924C2211yescharacteristic, complemented
157#1923C2211yescharacteristic, complemented
158#1923C2211yescharacteristic, complemented
159#1923C2211yescharacteristic, complemented
160#1923C2211yescharacteristic, complemented
161#1879C2211yescharacteristic, complemented
162#1879C2211yescharacteristic, complemented
163#1879C2211yescharacteristic, complemented
164#1879C2211yescharacteristic, complemented
165#1879C2211yescharacteristic, complemented
166#1879C2211yescharacteristic, complemented
167#1877C2211yescharacteristic, complemented
168#1877C2211yescharacteristic, complemented
169#1875C2211yescharacteristic
170#1875C2211yescharacteristic
171#1875C2211yescharacteristic, complemented
172#1875C2211yescharacteristic, complemented
173#1875C2211yescharacteristic, complemented
174#1874C2211yescharacteristic
175#1874C2211yescharacteristic
176#1874C2211yescharacteristic
177#1874C2211yescharacteristic
178#1874C2211yescharacteristic, complemented
179#1873C2211yescharacteristic, complemented
180#1872C2211yescharacteristic, complemented
181#1854C2211yescharacteristic, complemented
182#1854C2211yescharacteristic, complemented
183#1853C2211yescharacteristic, complemented
184#1852C2211yescharacteristic, complemented
185#1836C2211yescharacteristic, complemented
186#1836C2211yescharacteristic, complemented
187#1835C2211yescharacteristic, complemented
188#1834C2211yescharacteristic, complemented
189#1804C2211yescharacteristic, complemented
190#1804C2211yescharacteristic, complemented
191#1802C2211yescharacteristic, complemented
192#1802C2211yescharacteristic, complemented
193#1798C2211yescharacteristic, complemented
194#1798C2211yescharacteristic, complemented
195#1788C2211yescharacteristic, complemented
196#1788C2211yescharacteristic, complemented
197#1786C2211yescharacteristic, complemented
198#1786C2211yescharacteristic, complemented
199#1779C2211yescharacteristic
200#1779C2211yescharacteristic
201#1750C2211yescharacteristic, complemented
202#1750C2211yescharacteristic, complemented
203C22×#41C2311yescharacteristic
204C23×D4—21no—
205C23×D4—21no—
206C23×D4C2311yescharacteristic
207C23×D4C2311yescharacteristic
208C24×C4C2311yescharacteristic
209C22×SD16C2311yescharacteristic
210C22×SD16C2311yescharacteristic
211C22×D8C2311yescharacteristic
212C22×D8C2311yescharacteristic
213C22×D8C2311yescharacteristic
214C22×D8C2311yescharacteristic
215C22×D8C2311yescharacteristic
216C22×D8C2311yescharacteristic
217C2×#127C2311yescharacteristic
218C2×#127C2311yescharacteristic
219C2×#124C2311yescharacteristic
220C2×#124C2311yescharacteristic
221#525—42no—
222#525—42no—
223C2×#123—21no—
224C2×#123—21no—
225C2×#123—21no—
226C2×#123—21no—
227C2×#123—21no—
228C2×#123—21no—
229C2×#123—21no—
230C2×C22⋊Q8C2311yescharacteristic
231C2×C22⋊Q8C2311yescharacteristic
232C2×#121—21no—
233C2×#121—21no—
234C2×#121—21no—
235C2×#121—21no—
236C2×#121—42no—
237C2×#121—42no—
238C2×#121—42no—
239C2×#121—42no—
240C2×#121C2311yescharacteristic
241C2×#121C2311yescharacteristic
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—
253#518—42no—
254#518—42no—
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×#117C2311yescharacteristic
264C2×#117C2311yescharacteristic
265C2×#117C2311yescharacteristic
266C2×#117C2311yescharacteristic
267C2×#117C2311yescharacteristic
268C22×C4⋊C4C2311yescharacteristic
269C22×C4⋊C4C2311yescharacteristic
270C22×C22⋊C4—21no—
271C22×C22⋊C4—21no—
272C22×C22⋊C4—21no—
273C22×C22⋊C4—21no—
274#485—42no—
275#482—42no—
276#482—42no—
277#482—42no—
278#463—42no—
279#463—42no—
280#459—42no—
281#459—42no—
282#450—42no—
283#449—42no—
284#449—42no—
285#447—42no—
286#447—42no—
287#447—42no—
288#447—42no—
289#447—42no—
290C2×#107C2311yescharacteristic
291C2×#107C2311yescharacteristic
292C2×#107C2311yescharacteristic
293C2×#107C2311yescharacteristic
294C2×#106C2311yescharacteristic
295C2×#106C2311yescharacteristic
296C2×#106C2311yescharacteristic
297C2×#106C2311yescharacteristic
298C2×C4⋊C8C2311yescharacteristic
299C2×C4⋊C8C2311yescharacteristic
300C2×C4⋊C8C2311yescharacteristic
301C2×C4⋊C8C2311yescharacteristic
302C2×#103C2311yescharacteristic
303C2×#103C2311yescharacteristic
304C2×#103C2311yescharacteristic
305C2×#103C2311yescharacteristic
306C2×#103C2311yescharacteristic
307C2×#103C2311yescharacteristic
308C2×#102C2311yescharacteristic
309C2×#102C2311yescharacteristic
310C2×#102C2311yescharacteristic
311C2×#102C2311yescharacteristic
312C2×#102C2311yescharacteristic
313C2×#102C2311yescharacteristic
314C2×#102C2311yescharacteristic
315C2×#102C2311yescharacteristic
316C2×#102C2311yescharacteristic
317C2×#102C2311yescharacteristic
318C2×#102C2311yescharacteristic
319C2×#102C2311yescharacteristic
320C2×#102C2311yescharacteristic
321C2×#102C2311yescharacteristic
322C2×#102C2311yescharacteristic
323C2×#102C2311yescharacteristic
324C2×#102C2311yescharacteristic
325C2×#102C2311yescharacteristic
326C2×#102C2311yescharacteristic
327C2×#102C2311yescharacteristic
328C2×#102C2311yescharacteristic
329C2×#102C2311yescharacteristic
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×C22⋊C8C2311yescharacteristic
345C2×C22⋊C8C2311yescharacteristic
346C2×#97C2311yescharacteristic
347C2×#97C2311yescharacteristic
348C2×C4×C8C2311yescharacteristic
349C2×C4×C8C2311yescharacteristic
350#400—21no—
351#400—21no—
352#399—21no—
353#399—21no—
354#397—21no—
355#397—21no—
356#397—21no—
357#397—21no—
358#397—21no—
359#397—21no—
360#397—21no—
361#397—21no—
362#396—21no—
363#396—21no—
364#396—21no—
365#396—21no—
366#394—21no—
367#394—21no—
368#394—21no—
369#394—21no—
370#394—21no—
371#394—21no—
372#394—21no—
373#394—21no—
374#394—21no—
375#394—21no—
376#394—21no—
377#394—21no—
378#394—21no—
379#394—21no—
380#394—21no—
381#394—21no—
382#394—21no—
383#394—21no—
384#394—21no—
385#394—21no—
386#394—21no—
387#394—21no—
388#392—21no—
389#392—21no—
390#392—21no—
391#392—21no—
392#392—21no—
393#392—21no—
394#392—21no—
395#392—21no—
396#392—21no—
397#392—21no—
398#391C2311yescharacteristic
399#391C2311yescharacteristic
400#390—21no—
401#390—21no—
402#390C2311yescharacteristic
403#390C2311yescharacteristic
404#390C2311yescharacteristic
405#390C2311yescharacteristic
406#390C2311yescharacteristic
407#390C2311yescharacteristic
408#390C2311yescharacteristic
409#390C2311yescharacteristic
410#390C2311yescharacteristic
411#390C2311yescharacteristic
412#389—21no—
413#389—21no—
414#389C2311yescharacteristic
415#389C2311yescharacteristic
416#389C2311yescharacteristic
417#389C2311yescharacteristic
418#388—21no—
419#388—21no—
420#388—21no—
421#388—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#385—21no—
431#385—21no—
432#385—21no—
433#385—21no—
434#385—21no—
435#385—21no—
436#385—21no—
437#385—21no—
438#384—21no—
439#384C2311yescharacteristic
440#384C2311yescharacteristic
441#384C2311yescharacteristic
442#384C2311yescharacteristic
443#382—21no—
444#382C2311yescharacteristic
445#382C2311yescharacteristic
446#382C2311yescharacteristic
447#382C2311yescharacteristic
448#381—21no—
449#381—21no—
450#381—21no—
451#381—21no—
452#381—21no—
453#381—21no—
454#381—21no—
455#381D411yescharacteristic
456#381D411yescharacteristic
457#380D411yescharacteristic
458#380D411yescharacteristic
459#380D411yescharacteristic
460#380D411yescharacteristic
461#380C2311yescharacteristic
462#380C2311yescharacteristic
463#380C2311yescharacteristic
464#380C2311yescharacteristic
465#379—21no—
466#379—21no—
467#379—21no—
468#379—21no—
469#379—21no—
470#379D411yescharacteristic
471#379D411yescharacteristic
472C4×C22⋊C4—21no—
473C4×C22⋊C4—21no—
474C4×C22⋊C4C2311yescharacteristic
475C4×C22⋊C4C2311yescharacteristic
476C4×C22⋊C4C2311yescharacteristic
477C4×C22⋊C4C2311yescharacteristic
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#336C2311yescharacteristic
495#336C2311yescharacteristic
496#336C2311yescharacteristic
497#336C2311yescharacteristic
498#336C2311yescharacteristic
499#336C2311yescharacteristic
500#336C2311yescharacteristic
501#336C2311yescharacteristic
502C25—21no—
503C25—21no—
504C25C2×D411yescharacteristic
505C2×#41—41no—
506C2×#41—41no—
507C2×#41—41no—
508C2×#41—41no—
509C2×#41—41no—
510C2×#41—41no—
511C22×Q8C2411yescharacteristic
512C22×D4—22no—
513C22×D4—22no—
514C22×D4—21no—
515C22×D4—21no—
516C22×D4—21no—
517C22×D4—21no—
518C22×D4—21no—
519C22×D4—21no—
520C22×D4—21no—
521C22×D4—21no—
522C22×D4—21no—
523C22×D4—21no—
524C22×D4—21no—
525C22×D4—21no—
526C22×D4—21no—
527C22×D4—21no—
528C22×D4—21no—
529C22×D4—21no—
530C22×D4—21no—
531C22×D4—22no—
532C22×D4—22no—
533C22×D4—41no—
534C22×D4—41no—
535C22×D4—41no—
536C22×D4—41no—
537C22×D4—41no—
538C22×D4—41no—
539C22×D4—41no—
540C22×D4—41no—
541C22×D4—44no—
542C22×D4—44no—
543C22×D4—82no—
544C22×D4—82no—
545C22×D4—82no—
546C22×D4—82no—
547C22×D4C2411yescharacteristic
548C22×D4C2411yescharacteristic
549C22×D4C2411yescharacteristic
550C22×D4C2411yescharacteristic
551C22×D4C2411yescharacteristic
552C23×C4—22no—
553C23×C4—22no—
554C23×C4—21no—
555C23×C4—21no—
556C23×C4—21no—
557C23×C4—21no—
558C23×C4—21no—
559C23×C4—21no—
560C23×C4—21no—
561C23×C4—41no—
562C23×C4—41no—
563C23×C4—41no—
564C23×C4—41no—
565C23×C4C2×D411yescharacteristic
566C23×C4C2×D411yescharacteristic
567C23×C4C2×D411yescharacteristic
568C23×C4C2411yescharacteristic
569C23×C4C2411yescharacteristic
570C23×C4C2411yescharacteristic
571C2×SD16—22no—
572C2×SD16—22no—
573C2×SD16—41no—
574C2×SD16—41no—
575C2×SD16—41no—
576C2×SD16—41no—
577C2×D8—22no—
578C2×D8—22no—
579C2×D8—22no—
580C2×D8—22no—
581C2×D8—22no—
582C2×D8—22no—
583C2×D8—41no—
584C2×D8—41no—
585C2×D8—41no—
586C2×D8—41no—
587C2×D8—41no—
588C2×D8—41no—
589C2×D8—41no—
590C2×D8—41no—
591C2×D8—41no—
592C2×D8—41no—
593C2×D8—41no—
594C2×D8—41no—
595C22×C8C2411yescharacteristic
596C22×C8C2411yescharacteristic
597C22×C8C2411yescharacteristic
598C22×C8C2411yescharacteristic
599C22×C8C2411yescharacteristic
600C22×C8C2411yescharacteristic
601C22×C8C2411yescharacteristic
602C22×C8C2411yescharacteristic
603#127—41no—
604#127—41no—
605#127—41no—
606#127—41no—
607#124—41no—
608#124—41no—
609#124—41no—
610#124—41no—
611#123—44no—
612#123—82no—
613#123—82no—
614#123—82no—
615#123—82no—
616#123—82no—
617#123—82no—
618C22⋊Q8—22no—
619C22⋊Q8—22no—
620C22⋊Q8—41no—
621C22⋊Q8—41no—
622#121—22no—
623#121—22no—
624#121—22no—
625#121—22no—
626#121—22no—
627#121—22no—
628#121—22no—
629#121—22no—
630#121—22no—
631#121—22no—
632#121—41no—
633#121—41no—
634#121—41no—
635#121—41no—
636#121—41no—
637#121—41no—
638#121—41no—
639#121—41no—
640#121—41no—
641#121—41no—
642#121—44no—
643#121—44no—
644#121—44no—
645#121—44no—
646#120—44no—
647#120—82no—
648#120—82no—
649C4×D4—22no—
650C4×D4—22no—
651C4×D4—22no—
652C4×D4—22no—
653C4×D4—41no—
654C4×D4—41no—
655C4×D4—41no—
656C4×D4—41no—
657C4×D4—44no—
658C4×D4—44no—
659C4×D4—44no—
660C4×D4—44no—
661#117—22no—
662#117—22no—
663#117—41no—
664#117—41no—
665#117—41no—
666#117—41no—
667#117—41no—
668#117—41no—
669#117—41no—
670#117—41no—
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—21no—
685C2×C4⋊C4—21no—
686C2×C4⋊C4—21no—
687C2×C4⋊C4—41no—
688C2×C4⋊C4—41no—
689C2×C4⋊C4—41no—
690C2×C4⋊C4—41no—
691C2×C4⋊C4C2×D411yescharacteristic
692C2×C4⋊C4C2×D411yescharacteristic
693C2×C4⋊C4C2×D411yescharacteristic
694C2×C4⋊C4C2×D411yescharacteristic
695C2×C4⋊C4C2411yescharacteristic
696C2×C4⋊C4C2411yescharacteristic
697C2×C4⋊C4C2411yescharacteristic
698C2×C4⋊C4C2411yescharacteristic
699C2×C4⋊C4C2411yescharacteristic
700C2×C4⋊C4C2411yescharacteristic
701C2×C4⋊C4C2411yescharacteristic
702C2×C4⋊C4C2411yescharacteristic
703C2×C4⋊C4C2411yescharacteristic
704C2×C4⋊C4C2411yescharacteristic
705C2×C22⋊C4—21no—
706C2×C22⋊C4—21no—
707C2×C22⋊C4—21no—
708C2×C22⋊C4—21no—
709C2×C22⋊C4—21no—
710C2×C22⋊C4—21no—
711C2×C22⋊C4—21no—
712C2×C22⋊C4—21no—
713C2×C22⋊C4—21no—
714C2×C22⋊C4—21no—
715C2×C22⋊C4—21no—
716C2×C22⋊C4—21no—
717C2×C22⋊C4—21no—
718C2×C22⋊C4—21no—
719C2×C22⋊C4—21no—
720C2×C22⋊C4—21no—
721C2×C22⋊C4—21no—
722C2×C22⋊C4—21no—
723C2×C22⋊C4—21no—
724C2×C22⋊C4—21no—
725C2×C22⋊C4—21no—
726C2×C22⋊C4—21no—
727C2×C22⋊C4—21no—
728C2×C22⋊C4—21no—
729C2×C22⋊C4—21no—
730C2×C22⋊C4—21no—
731C2×C22⋊C4—21no—
732C2×C22⋊C4—21no—
733C2×C22⋊C4—21no—
734C2×C22⋊C4—21no—
735C2×C22⋊C4—21no—
736C2×C22⋊C4—21no—
737C2×C22⋊C4—21no—
738C2×C22⋊C4—21no—
739C2×C22⋊C4—21no—
740C2×C22⋊C4—21no—
741C2×C22⋊C4—21no—
742C2×C22⋊C4—21no—
743C2×C22⋊C4—21no—
744C2×C22⋊C4—21no—
745C2×C22⋊C4—21no—
746C2×C22⋊C4—21no—
747C2×C22⋊C4—21no—
748C2×C22⋊C4—21no—
749C2×C22⋊C4—21no—
750C2×C22⋊C4—21no—
751C2×C22⋊C4—21no—
752C2×C22⋊C4—44no—
753C2×C22⋊C4—44no—
754C2×C22⋊C4—44no—
755C2×C22⋊C4—44no—
756C2×C22⋊C4C2×D411yescharacteristic
757C2×C22⋊C4C2×D411yescharacteristic
758C2×C22⋊C4C2×D411yescharacteristic
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×C42—21no—
769C2×C42—21no—
770C2×C42—21no—
771C2×C42C2411yescharacteristic
772C2×C42C2411yescharacteristic
773C2×C42C2411yescharacteristic
774C2×C42C2411yescharacteristic
775#107—41no—
776#107—41no—
777#107—41no—
778#107—41no—
779#106—41no—
780#106—41no—
781#106—41no—
782#106—41no—
783C4⋊C8—41no—
784C4⋊C8—41no—
785C4⋊C8—41no—
786C4⋊C8—41no—
787#103—41no—
788#103—41no—
789#103—41no—
790#103—41no—
791#103—41no—
792#103—41no—
793#102—41no—
794#102—41no—
795#102—41no—
796#102—41no—
797#102—41no—
798#102—41no—
799#102—41no—
800#102—41no—
801#102—41no—
802#102—41no—
803#102—41no—
804#102—41no—
805#102—41no—
806#102—41no—
807#102—41no—
808#102—41no—
809#102—41no—
810#102—41no—
811#102—41no—
812#102—41no—
813#102—41no—
814#102—41no—
815#102—41no—
816#102—41no—
817#102—41no—
818#102—41no—
819C22⋊C8—22no—
820C22⋊C8—22no—
821C22⋊C8—22no—
822C22⋊C8—22no—
823C22⋊C8—41no—
824C22⋊C8—41no—
825C22⋊C8—41no—
826C22⋊C8—41no—
827C22⋊C8—41no—
828C22⋊C8—41no—
829C22⋊C8—41no—
830C22⋊C8—41no—
831#97—41no—
832#97—41no—
833C4×C8—41no—
834C4×C8—41no—
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#95C2×D411yescharacteristic
856#95C2×D411yescharacteristic
857#95C2×D411yescharacteristic
858#95C2×D411yescharacteristic
859#95C2×D411yescharacteristic
860#95C2×D411yescharacteristic
861#95C2×D411yescharacteristic
862#95C2×D411yescharacteristic
863C24—24no—
864C24—21no—
865C24—21no—
866C24—22no—
867C24—22no—
868C24—21no—
869C24—21no—
870C24—21no—
871C24—41no—
872C24—41no—
873C24—41no—
874C24—41no—
875C24—41no—
876C24—42no—
877C24—42no—
878C24—42no—
879C24—42no—
880C24—42no—
881C24—81no—
882C24—81no—
883C24—81no—
884C24—81no—
885C24—81no—
886C24—81no—
887C24—81no—
888C24—81no—
889C24C22×D411yescharacteristic
890C24C22×D411yescharacteristic
891C24C22×D411yescharacteristic
892#41—82no—
893#41—82no—
894#41—82no—
895#41—82no—
896C2×Q8—21no—
897C2×Q8—21no—
898C2×Q8—21no—
899C2×Q8—21no—
900C2×Q8—21no—
901C2×Q8—21no—
902C2×D4—24no—
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—21no—
920C2×D4—21no—
921C2×D4—21no—
922C2×D4—21no—
923C2×D4—21no—
924C2×D4—21no—
925C2×D4—21no—
926C2×D4—21no—
927C2×D4—21no—
928C2×D4—21no—
929C2×D4—21no—
930C2×D4—21no—
931C2×D4—44no—
932C2×D4—44no—
933C2×D4—44no—
934C2×D4—44no—
935C2×D4—42no—
936C2×D4—42no—
937C2×D4—42no—
938C2×D4—42no—
939C2×D4—42no—
940C2×D4—42no—
941C2×D4—42no—
942C2×D4—42no—
943C2×D4—42no—
944C2×D4—42no—
945C2×D4—42no—
946C2×D4—42no—
947C2×D4—42no—
948C2×D4—42no—
949C2×D4—42no—
950C2×D4—42no—
951C2×D4—42no—
952C2×D4—42no—
953C2×D4—42no—
954C2×D4—42no—
955C2×D4—81no—
956C2×D4—81no—
957C2×D4—81no—
958C2×D4—81no—
959C2×D4—81no—
960C2×D4—81no—
961C2×D4—81no—
962C2×D4—81no—
963C2×D4—81no—
964C2×D4—81no—
965C2×D4—81no—
966C2×D4—81no—
967C2×D4—81no—
968C2×D4—81no—
969C2×D4—82no—
970C2×D4—82no—
971C2×D4—82no—
972C2×D4—82no—
973C2×D4—81no—
974C2×D4—81no—
975C2×D4—81no—
976C2×D4—81no—
977C2×D4—81no—
978C2×D4—81no—
979C2×D4—81no—
980C2×D4—81no—
981C2×D4—81no—
982C2×D4—81no—
983C2×D4—81no—
984C2×D4—81no—
985C2×D4—81no—
986C2×D4—81no—
987C2×D4—81no—
988C2×D4—81no—
989C2×D4—816no—
990C2×D4—816no—
991C2×D4H(5,𝔽2)12yes—
992C2×D4H(5,𝔽2)12yes—
993C22×C4—21no—
994C22×C4—21no—
995C22×C4—21no—
996C22×C4—21no—
997C22×C4—22no—
998C22×C4—21no—
999C22×C4—21no—
1000C22×C4—21no—
1001C22×C4—21no—
1002C22×C4—21no—
1003C22×C4—21no—
1004C22×C4—21no—
1005C22×C4—21no—
1006C22×C4—21no—
1007C22×C4—21no—
1008C22×C4—21no—
1009C22×C4—21no—
1010C22×C4—22no—
1011C22×C4—22no—
1012C22×C4—21no—
1013C22×C4—21no—
1014C22×C4—21no—
1015C22×C4—21no—
1016C22×C4—21no—
1017C22×C4—21no—
1018C22×C4—21no—
1019C22×C4—21no—
1020C22×C4—21no—
1021C22×C4—21no—
1022C22×C4—21no—
1023C22×C4—41no—
1024C22×C4—41no—
1025C22×C4—41no—
1026C22×C4—41no—
1027C22×C4—41no—
1028C22×C4—41no—
1029C22×C4—42no—
1030C22×C4—42no—
1031C22×C4—42no—
1032C22×C4—42no—
1033C22×C4—42no—
1034C22×C4—42no—
1035C22×C4—42no—
1036C22×C4—42no—
1037C22×C4—42no—
1038C22×C4—82no—
1039C22×C4—82no—
1040C22×C4—82no—
1041C22×C4—82no—
1042C22×C4—81no—
1043C22×C4—81no—
1044C22×C4—81no—
1045C22×C4—81no—
1046C22×C4—81no—
1047C22×C4—81no—
1048C22×C4—81no—
1049C22×C4—81no—
1050C22×C4—81no—
1051C22×C4—81no—
1052C22×C4—81no—
1053C22×C4—81no—
1054C22×C4C22×D411yescharacteristic
1055C22×C4C22×D411yescharacteristic
1056C22×C4C22×D411yescharacteristic
1057C22×C4C22×D411yescharacteristic
1058C22×C4C22×D411yescharacteristic
1059C22×C4C22×D411yescharacteristic
1060C22×C4C22×D411yescharacteristic
1061C22×C4C22×D411yescharacteristic
1062C22×C4C22×D411yescharacteristic
1063C22×C4C22×D411yescharacteristic
1064C22×C4C22×D411yescharacteristic
1065C22×C4H(5,𝔽2)12yes—
1066C22×C4H(5,𝔽2)12yes—
1067C22×C4C2511yescharacteristic
1068SD16—82no—
1069SD16—82no—
1070D8—82no—
1071D8—82no—
1072D8—82no—
1073D8—82no—
1074D8—82no—
1075D8—82no—
1076C2×C8—21no—
1077C2×C8—21no—
1078C2×C8—21no—
1079C2×C8—21no—
1080C2×C8—21no—
1081C2×C8—21no—
1082C2×C8—21no—
1083C2×C8—21no—
1084C2×C8—21no—
1085C2×C8—21no—
1086C2×C8—21no—
1087C2×C8—21no—
1088C2×C8—21no—
1089C2×C8—21no—
1090C2×C8—21no—
1091C2×C8—21no—
1092C2×C8—21no—
1093C2×C8—21no—
1094C2×C8—21no—
1095C2×C8—21no—
1096C2×C8—21no—
1097C2×C8—21no—
1098C2×C8—21no—
1099C2×C8—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—21no—
1111C4⋊C4—21no—
1112C4⋊C4—21no—
1113C4⋊C4—21no—
1114C4⋊C4—21no—
1115C4⋊C4—21no—
1116C4⋊C4—21no—
1117C4⋊C4—21no—
1118C4⋊C4—21no—
1119C4⋊C4—21no—
1120C4⋊C4—41no—
1121C4⋊C4—41no—
1122C4⋊C4—41no—
1123C4⋊C4—41no—
1124C4⋊C4—42no—
1125C4⋊C4—42no—
1126C4⋊C4—42no—
1127C4⋊C4—42no—
1128C4⋊C4—81no—
1129C4⋊C4—81no—
1130C4⋊C4—81no—
1131C4⋊C4—81no—
1132C4⋊C4—81no—
1133C4⋊C4—81no—
1134C4⋊C4—81no—
1135C4⋊C4—81no—
1136C4⋊C4—81no—
1137C4⋊C4—81no—
1138C4⋊C4—81no—
1139C4⋊C4—81no—
1140C22⋊C4—22no—
1141C22⋊C4—22no—
1142C22⋊C4—41no—
1143C22⋊C4—41no—
1144C22⋊C4—41no—
1145C22⋊C4—41no—
1146C22⋊C4—41no—
1147C22⋊C4—41no—
1148C22⋊C4—41no—
1149C22⋊C4—41no—
1150C22⋊C4—41no—
1151C22⋊C4—41no—
1152C22⋊C4—42no—
1153C22⋊C4—42no—
1154C22⋊C4—42no—
1155C22⋊C4—42no—
1156C22⋊C4—42no—
1157C22⋊C4—42no—
1158C22⋊C4—42no—
1159C22⋊C4—42no—
1160C22⋊C4—42no—
1161C22⋊C4—42no—
1162C22⋊C4—42no—
1163C22⋊C4—42no—
1164C22⋊C4—42no—
1165C22⋊C4—42no—
1166C22⋊C4—42no—
1167C22⋊C4—42no—
1168C22⋊C4—42no—
1169C22⋊C4—42no—
1170C22⋊C4—42no—
1171C22⋊C4—42no—
1172C22⋊C4—42no—
1173C22⋊C4—81no—
1174C22⋊C4—81no—
1175C22⋊C4—81no—
1176C22⋊C4—81no—
1177C22⋊C4—81no—
1178C22⋊C4—81no—
1179C22⋊C4—81no—
1180C22⋊C4—81no—
1181C22⋊C4—81no—
1182C22⋊C4—81no—
1183C22⋊C4—81no—
1184C22⋊C4—81no—
1185C22⋊C4—81no—
1186C22⋊C4—81no—
1187C22⋊C4—81no—
1188C22⋊C4—81no—
1189C22⋊C4—81no—
1190C22⋊C4—81no—
1191C22⋊C4—81no—
1192C22⋊C4—81no—
1193C22⋊C4—81no—
1194C22⋊C4—81no—
1195C22⋊C4—81no—
1196C22⋊C4—81no—
1197C22⋊C4—81no—
1198C22⋊C4—81no—
1199C42—21no—
1200C42—21no—
1201C42—21no—
1202C42—21no—
1203C42—21no—
1204C42—21no—
1205C42—21no—
1206C42—21no—
1207C42—42no—
1208C42—42no—
1209C42—42no—
1210C23—21no—
1211C23—21no—
1212C23—21no—
1213C23—21no—
1214C23—21no—
1215C23—21no—
1216C23—21no—
1217C23—21no—
1218C23—21no—
1219C23—21no—
1220C23—21no—
1221C23—21no—
1222C23—21no—
1223C23—21no—
1224C23—21no—
1225C23—21no—
1226C23—22no—
1227C23—22no—
1228C23—21no—
1229C23—21no—
1230C23—21no—
1231C23—44no—
1232C23—44no—
1233C23—48no—
1234C23—41no—
1235C23—41no—
1236C23—41no—
1237C23—41no—
1238C23—41no—
1239C23—41no—
1240C23—41no—
1241C23—41no—
1242C23—41no—
1243C23—41no—
1244C23—41no—
1245C23—41no—
1246C23—41no—
1247C23—41no—
1248C23—41no—
1249C23—41no—
1250C23—41no—
1251C23—41no—
1252C23—41no—
1253C23—41no—
1254C23—41no—
1255C23—41no—
1256C23—41no—
1257C23—41no—
1258C23—41no—
1259C23—41no—
1260C23—41no—
1261C23—41no—
1262C23—41no—
1263C23—41no—
1264C23—41no—
1265C23—41no—
1266C23—41no—
1267C23—82no—
1268C23—82no—
1269C23—82no—
1270C23—84no—
1271C23—82no—
1272C23—82no—
1273C23—84no—
1274C23—84no—
1275C23—84no—
1276C23—84no—
1277C23—162no—
1278C23—162no—
1279C23—162no—
1280C23—162no—
1281C23—162no—
1282C23—162no—
1283C23—162no—
1284C23—162no—
1285C23#53512yes—
1286C23#57612yes—
1287C23C23×D411yescharacteristic
1288Q8—41no—
1289Q8—41no—
1290Q8—41no—
1291Q8—41no—
1292D4—22no—
1293D4—22no—
1294D4—22no—
1295D4—22no—
1296D4—48no—
1297D4—41no—
1298D4—41no—
1299D4—41no—
1300D4—41no—
1301D4—41no—
1302D4—41no—
1303D4—41no—
1304D4—41no—
1305D4—41no—
1306D4—41no—
1307D4—41no—
1308D4—41no—
1309D4—41no—
1310D4—41no—
1311D4—41no—
1312D4—41no—
1313D4—84no—
1314D4—84no—
1315D4—84no—
1316D4—84no—
1317D4—84no—
1318D4—84no—
1319D4—84no—
1320D4—84no—
1321D4—84no—
1322D4—84no—
1323D4—84no—
1324D4—84no—
1325D4—162no—
1326D4—162no—
1327D4—162no—
1328D4—162no—
1329C2×C4—21no—
1330C2×C4—21no—
1331C2×C4—22no—
1332C2×C4—22no—
1333C2×C4—22no—
1334C2×C4—22no—
1335C2×C4—21no—
1336C2×C4—21no—
1337C2×C4—21no—
1338C2×C4—21no—
1339C2×C4—21no—
1340C2×C4—21no—
1341C2×C4—21no—
1342C2×C4—21no—
1343C2×C4—21no—
1344C2×C4—21no—
1345C2×C4—21no—
1346C2×C4—21no—
1347C2×C4—21no—
1348C2×C4—21no—
1349C2×C4—21no—
1350C2×C4—21no—
1351C2×C4—21no—
1352C2×C4—21no—
1353C2×C4—21no—
1354C2×C4—21no—
1355C2×C4—21no—
1356C2×C4—21no—
1357C2×C4—21no—
1358C2×C4—21no—
1359C2×C4—21no—
1360C2×C4—21no—
1361C2×C4—21no—
1362C2×C4—21no—
1363C2×C4—21no—
1364C2×C4—21no—
1365C2×C4—41no—
1366C2×C4—41no—
1367C2×C4—41no—
1368C2×C4—41no—
1369C2×C4—41no—
1370C2×C4—41no—
1371C2×C4—41no—
1372C2×C4—41no—
1373C2×C4—41no—
1374C2×C4—41no—
1375C2×C4—41no—
1376C2×C4—41no—
1377C2×C4—41no—
1378C2×C4—41no—
1379C2×C4—41no—
1380C2×C4—41no—
1381C2×C4—41no—
1382C2×C4—41no—
1383C2×C4—41no—
1384C2×C4—41no—
1385C2×C4—41no—
1386C2×C4—41no—
1387C2×C4—41no—
1388C2×C4—41no—
1389C2×C4—41no—
1390C2×C4—41no—
1391C2×C4—41no—
1392C2×C4—41no—
1393C2×C4—41no—
1394C2×C4—41no—
1395C2×C4—41no—
1396C2×C4—41no—
1397C2×C4—41no—
1398C2×C4—41no—
1399C2×C4—41no—
1400C2×C4—41no—
1401C2×C4—41no—
1402C2×C4—41no—
1403C2×C4—41no—
1404C2×C4—41no—
1405C2×C4—41no—
1406C2×C4—82no—
1407C2×C4—82no—
1408C2×C4—82no—
1409C2×C4—84no—
1410C2×C4—84no—
1411C2×C4—84no—
1412C2×C4—162no—
1413C2×C4—162no—
1414C2×C4—162no—
1415C2×C4—162no—
1416C2×C4#53512yes—
1417C2×C4C2×H(5,𝔽2)11yescharacteristic
1418C2×C4C2×H(5,𝔽2)11yescharacteristic
1419C2×C4C2×H(5,𝔽2)11yescharacteristic
1420C2×C4C2×H(5,𝔽2)11yescharacteristic
1421C2×C4#58511yescharacteristic
1422C2×C4#58511yescharacteristic
1423C8—41no—
1424C8—41no—
1425C8—41no—
1426C8—41no—
1427C8—41no—
1428C8—41no—
1429C8—41no—
1430C8—41no—
1431C22—22no—
1432C22—22no—
1433C22—22no—
1434C22—22no—
1435C22—22no—
1436C22—22no—
1437C22—41no—
1438C22—41no—
1439C22—41no—
1440C22—41no—
1441C22—41no—
1442C22—41no—
1443C22—41no—
1444C22—41no—
1445C22—41no—
1446C22—41no—
1447C22—41no—
1448C22—42no—
1449C22—42no—
1450C22—41no—
1451C22—41no—
1452C22—42no—
1453C22—42no—
1454C22—41no—
1455C22—42no—
1456C22—42no—
1457C22—41no—
1458C22—88no—
1459C22—81no—
1460C22—81no—
1461C22—81no—
1462C22—81no—
1463C22—81no—
1464C22—81no—
1465C22—81no—
1466C22—81no—
1467C22—81no—
1468C22—81no—
1469C22—81no—
1470C22—81no—
1471C22—81no—
1472C22—81no—
1473C22—81no—
1474C22—81no—
1475C22—81no—
1476C22—81no—
1477C22—81no—
1478C22—81no—
1479C22—81no—
1480C22—81no—
1481C22—81no—
1482C22—81no—
1483C22—81no—
1484C22—81no—
1485C22—81no—
1486C22—81no—
1487C22—81no—
1488C22—168no—
1489C22—168no—
1490C22C2×#53511yescharacteristic
1491C22#348411yescharacteristic
1492C22#348511yescharacteristic
1493C22C2×#57611yescharacteristic
1494C22#358411yescharacteristic
1495C22#358511yescharacteristic
1496C22#358511yescharacteristic
1497C4—22no—
1498C4—41no—
1499C4—41no—
1500C4—41no—
1501C4—41no—
1502C4—41no—
1503C4—41no—
1504C4—41no—
1505C4—41no—
1506C4—41no—
1507C4—41no—
1508C4—81no—
1509C4—81no—
1510C4—81no—
1511C4—81no—
1512C4—81no—
1513C4—81no—
1514C4—81no—
1515C4—81no—
1516C4—81no—
1517C4—81no—
1518C4—81no—
1519C4#353411yescharacteristic
1520C4#353411yescharacteristic
1521C4#353411yescharacteristic
1522C4#353411yescharacteristic
1523C2—42no—
1524C2—42no—
1525C2—81no—
1526C2—82no—
1527C2—82no—
1528C2—161no—
1529C2—161no—
1530C2—161no—
1531C2#3672111yescharacteristic
1532C2#6081111yescharacteristic
1533C2#6081511yescharacteristic
1534C2#6160911yescharacteristic
1535C2#6161411yescharacteristic
1536C2#6177211yescharacteristic
1537C2#6178311yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ #2280 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #37448C2semidirect
2. #35540C2semidirect
3. #32917C2semidirect
4. #32911C2semidirect
5. #31961C2semidirect
6. #31958C2semidirect
7. #31953C2semidirect
8. #31946C2semidirect
9. #31942C2semidirect
10. #31941C2semidirect
11. #31933C2semidirect
12. #31930C2semidirect
13. #31011C2semidirect
14. #31008C2semidirect
15. #31001C2semidirect
16. #31000C2semidirect
17. #30995C2semidirect
18. #30992C2semidirect
19. #30985C2semidirect
20. #30984C2semidirect
21. #29769C2semidirect
22. #29765C2semidirect
23. #28321C2semidirect
24. #28319C2semidirect
25. #27986C2semidirect
26. #27984C2semidirect
27. #24009C2semidirect
28. #24008C2semidirect
29. #23920C2semidirect
30. #23918C2semidirect
31. #21910C2semidirect
35. C2×#518C22semidirect
36. C2×#485C22semidirect
39. C2×#482C22semidirect
40. C2×#463C22semidirect
41. C2×#463C22semidirect
42. C2×#459C22semidirect
43. C2×#459C22semidirect
44. C2×#449C22semidirect
45. C2×#449C22semidirect
46. C2×#450C22semidirect
51. C2×#447C22semidirect
64. #2503C22semidirect
65. #2501C22semidirect
66. #2500C22semidirect
67. #2500C22semidirect
70. #2435C22semidirect
71. #2433C22semidirect
72. #2431C22semidirect
73. #2431C22semidirect
78. #2422C22semidirect
79. #2422C22semidirect
84. #2420C22semidirect
85. #2420C22semidirect
88. #2317C22semidirect
89. #2317C22semidirect
90. #2309C22semidirect
93. #2094C22semidirect
94. #2093C22semidirect
95. #2092C22semidirect
96. #2092C22semidirect
97. #2085C22semidirect
98. #2085C22semidirect
99. #2084C22semidirect
100. #2083C22semidirect
101. #2074C22semidirect
102. #2073C22semidirect
103. #2073C22semidirect
104. #2073C22semidirect
105. #2072C22semidirect
106. #2071C22semidirect
107. #2071C22semidirect
108. #2071C22semidirect
109. #2068C22semidirect
110. #2067C22semidirect
111. #2067C22semidirect
112. #2067C22semidirect
113. #2066C22semidirect
114. #2065C22semidirect
115. #2065C22semidirect
116. #2065C22semidirect
117. #2042C22semidirect
118. #2042C22semidirect
119. #2041C22semidirect
120. #2041C22semidirect
121. #2036C22semidirect
122. #2035C22semidirect
123. #2034C22semidirect
124. #2034C22semidirect
125. #2034C22semidirect
126. #2033C22semidirect
127. #2033C22semidirect
128. #2033C22semidirect
129. #2012C22semidirect
130. #2012C22semidirect
131. #2011C22semidirect
132. #2011C22semidirect
141. #1973C22semidirect
142. #1972C22semidirect
143. #1972C22semidirect
144. #1972C22semidirect
145. #1970C22semidirect
146. #1970C22semidirect
147. #1970C22semidirect
148. #1968C22semidirect
149. #1961C22semidirect
150. #1959C22semidirect
151. #1958C22semidirect
152. #1957C22semidirect
153. #1924C22semidirect
154. #1924C22semidirect
155. #1924C22semidirect
156. #1924C22semidirect
157. #1923C22semidirect
158. #1923C22semidirect
159. #1923C22semidirect
160. #1923C22semidirect
161. #1879C22semidirect
162. #1879C22semidirect
163. #1879C22semidirect
164. #1879C22semidirect
165. #1879C22semidirect
166. #1879C22semidirect
167. #1877C22semidirect
168. #1877C22semidirect
171. #1875C22semidirect
172. #1875C22semidirect
173. #1875C22semidirect
178. #1874C22semidirect
179. #1873C22semidirect
180. #1872C22semidirect
181. #1854C22semidirect
182. #1854C22semidirect
183. #1853C22semidirect
184. #1852C22semidirect
185. #1836C22semidirect
186. #1836C22semidirect
187. #1835C22semidirect
188. #1834C22semidirect
189. #1804C22semidirect
190. #1804C22semidirect
191. #1802C22semidirect
192. #1802C22semidirect
193. #1798C22semidirect
194. #1798C22semidirect
195. #1788C22semidirect
196. #1788C22semidirect
197. #1786C22semidirect
198. #1786C22semidirect
201. #1750C22semidirect
202. #1750C22semidirect

Maximal subgroups

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

subgroupindex
#374482
#355402
#329172
#329112
#319612
#319582
#319532
#319462
#319422
#319412
#319332
#319302
#310112
#310082
#310012
#310002
#309952
#309922
#309852
#309842
#297692
#297652
#283212
#283192
#279862
#279842
#240092
#240082
#239202
#239182
#219102