Finite Group Databasebeta

← #7302759

Subgroups — #7302759

Order 512.

1928 conjugacy classes of subgroups.

The subgroup lattice has 1506 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59044C211yesmaximal, characteristic, complemented
2#39166C211yesmaximal, characteristic, complemented
3#31660C211yesmaximal, characteristic, complemented
4#31651C211yesmaximal, characteristic, complemented
5#31558C211yesmaximal, characteristic, complemented
6#31553C211yesmaximal, characteristic, complemented
7#31392C211yesmaximal, characteristic, complemented
8#31384C211yesmaximal, characteristic, complemented
9#31267C211yesmaximal, characteristic, complemented
10#31265C211yesmaximal, characteristic, complemented
11#31034C211yesmaximal, characteristic, complemented
12#31032C211yesmaximal, characteristic, complemented
13#31014C211yesmaximal, characteristic, complemented
14#31003C211yesmaximal, characteristic, complemented
15#30111C211yesmaximal, characteristic, complemented
16#29666C211yesmaximal, characteristic, complemented
17#28115C211yesmaximal, characteristic, complemented
18#26615C211yesmaximal, characteristic, complemented
19#26610C211yesmaximal, characteristic, complemented
20#24920C211yesmaximal, characteristic, complemented
21#24917C211yesmaximal, characteristic, complemented
22#24363C211yesmaximal, characteristic, complemented
23#24359C211yesmaximal, characteristic, complemented
24#24256C211yesmaximal, characteristic, complemented
25#24255C211yesmaximal, characteristic, complemented
26#23937C211yesmaximal, characteristic, complemented
27#23855C211yesmaximal, characteristic, complemented
28#23854C211yesmaximal, characteristic, complemented
29#23852C211yesmaximal, characteristic, complemented
30#23850C211yesmaximal, characteristic, complemented
31#23333C211yesmaximal, characteristic, complemented
32C22×#135C2211yescharacteristic
33C23×SD16C2211yescharacteristic
34C2×D4×Q8C2211yescharacteristic
35C2×#548C2211yescharacteristic, complemented
36C2×#546C2211yescharacteristic
37C2×#529C2211yescharacteristic
38C2×#481C2211yescharacteristic
39C2×#464C2211yescharacteristic, complemented
40C2×#462C2211yescharacteristic, complemented
41C2×#463C2211yescharacteristic
42C2×#463C2211yescharacteristic
43C2×#452C2211yescharacteristic
44C2×#452C2211yescharacteristic
45C2×#449C2211yescharacteristic
46C2×#451C2211yescharacteristic
47C2×#451C2211yescharacteristic, complemented
48C2×#448C2211yescharacteristic
49C2×#448C2211yescharacteristic
50C2×#450C2211yescharacteristic
51C2×#447C2211yescharacteristic
52C2×#441C2211yescharacteristic, complemented
53C2×#440C2211yescharacteristic
54#2850C2211yescharacteristic, complemented
55#2731—21no—
56#2730—21no—
57#2729—21no—
58#2728—21no—
59#2695—21no—
60#2685—21no—
61#2639—21no—
62#2566C2211yescharacteristic
63#2564—21no—
64#2562C2211yescharacteristic
65#2543—21no—
66#2537C2211yescharacteristic
67#2536C2211yescharacteristic
68#2476—21no—
69#2464—21no—
70#2457—21no—
71#2448C2211yescharacteristic, complemented
72#2446C2211yescharacteristic, complemented
73#2436C2211yescharacteristic
74#2432C2211yescharacteristic, complemented
75#2424—21no—
76#2423C2211yescharacteristic
77#2421C2211yescharacteristic
78#2421C2211yescharacteristic, complemented
79#2420C2211yescharacteristic
80#2418—21no—
81#2417C2211yescharacteristic, complemented
82#2416C2211yescharacteristic
83#2409C2211yescharacteristic
84#2408C2211yescharacteristic
85#2407C2211yescharacteristic
86#2407C2211yescharacteristic
87#2367C2211yescharacteristic
88#2342—21no—
89#2341C2211yescharacteristic
90D4×C22⋊C4C2211yescharacteristic
91#2325—21no—
92C4×#121C2211yescharacteristic
93C4×#121C2211yescharacteristic
94C2×#391C2211yescharacteristic, complemented
95#2101C2211yescharacteristic, complemented
96#2101C2211yescharacteristic, complemented
97#2099C2211yescharacteristic, complemented
98#2092C2211yescharacteristic
99#2077C2211yescharacteristic
100#2077C2211yescharacteristic, complemented
101#2077C2211yescharacteristic, complemented
102#2075C2211yescharacteristic
103#2073C2211yescharacteristic, complemented
104#2072C2211yescharacteristic, complemented
105#2066C2211yescharacteristic, complemented
106#2066C2211yescharacteristic, complemented
107#2066C2211yescharacteristic, complemented
108#2065C2211yescharacteristic
109#2055C2211yescharacteristic
110#2055C2211yescharacteristic
111#2055C2211yescharacteristic
112#2054C2211yescharacteristic
113#2042C2211yescharacteristic, complemented
114#2036C2211yescharacteristic, complemented
115#2035C2211yescharacteristic
116#2035C2211yescharacteristic, complemented
117#2035C2211yescharacteristic, complemented
118#2034C2211yescharacteristic
119#2033C2211yescharacteristic, complemented
120#2026C2211yescharacteristic, complemented
121#2026C2211yescharacteristic, complemented
122#2026C2211yescharacteristic, complemented
123#2025C2211yescharacteristic, complemented
124#2015C2211yescharacteristic
125#2015C2211yescharacteristic
126#2015C2211yescharacteristic
127#2015C2211yescharacteristic, complemented
128#2013C2211yescharacteristic
129#2013C2211yescharacteristic
130#2012C2211yescharacteristic
131#2012C2211yescharacteristic
132#2012C2211yescharacteristic
133#2001C2211yescharacteristic
134#2001C2211yescharacteristic, complemented
135#2000C2211yescharacteristic
136#2000C2211yescharacteristic
137#2000C2211yescharacteristic
138#2000C2211yescharacteristic
139#2000C2211yescharacteristic
140#2000C2211yescharacteristic, complemented
141#1999C2211yescharacteristic
142#1999C2211yescharacteristic
143#1972C2211yescharacteristic
144#1971C2211yescharacteristic, complemented
145#1960C2211yescharacteristic, complemented
146#1959C2211yescharacteristic, complemented
147#1955C2211yescharacteristic
148#1955C2211yescharacteristic, complemented
149#1936C2211yescharacteristic
150#1936C2211yescharacteristic
151#1928C2211yescharacteristic, complemented
152#1927C2211yescharacteristic, complemented
153#1927C2211yescharacteristic, complemented
154#1926C2211yescharacteristic, complemented
155#1924C2211yescharacteristic
156#1924C2211yescharacteristic, complemented
157#1917C2211yescharacteristic, complemented
158#1917C2211yescharacteristic, complemented
159#1893C2211yescharacteristic
160#1893C2211yescharacteristic
161#1892C2211yescharacteristic
162#1892C2211yescharacteristic
163#1892C2211yescharacteristic, complemented
164#1892C2211yescharacteristic, complemented
165#1880C2211yescharacteristic
166#1880C2211yescharacteristic
167#1880C2211yescharacteristic
168#1880C2211yescharacteristic, complemented
169#1879C2211yescharacteristic
170#1878C2211yescharacteristic, complemented
171#1878C2211yescharacteristic, complemented
172#1878C2211yescharacteristic, complemented
173#1877C2211yescharacteristic
174#1877C2211yescharacteristic
175#1877C2211yescharacteristic
176#1877C2211yescharacteristic
177#1877C2211yescharacteristic
178#1877C2211yescharacteristic
179#1874C2211yescharacteristic
180#1872C2211yescharacteristic, complemented
181#1869C2211yescharacteristic
182#1869C2211yescharacteristic
183#1869C2211yescharacteristic
184#1869C2211yescharacteristic, complemented
185#1864C2211yescharacteristic
186#1863C2211yescharacteristic, complemented
187#1850C2211yescharacteristic
188#1850C2211yescharacteristic, complemented
189#1824C2211yescharacteristic, complemented
190#1817C2211yescharacteristic, complemented
191#1805C2211yescharacteristic, complemented
192#1805C2211yescharacteristic, complemented
193#1804C2211yescharacteristic
194#1803C2211yescharacteristic, complemented
195#1797C2211yescharacteristic, complemented
196#1788C2211yescharacteristic
197#1788C2211yescharacteristic, complemented
198#1788C2211yescharacteristic, complemented
199#1787C2211yescharacteristic
200#1787C2211yescharacteristic
201#1787C2211yescharacteristic, complemented
202#1786C2211yescharacteristic
203C22×#41C2311yescharacteristic
204C22×#41C2311yescharacteristic
205C23×Q8C2311yescharacteristic
206C23×Q8C2311yescharacteristic
207C23×D4C2311yescharacteristic
208C2×#135—42no—
209C2×#135—42no—
210C2×#135—42no—
211C22×Q16C2311yescharacteristic
212C22×Q16C2311yescharacteristic
213C22×Q16C2311yescharacteristic
214C22×SD16—42no—
215C22×SD16—42no—
216C22×SD16—42no—
217C22×SD16C2311yescharacteristic
218C22×SD16C2311yescharacteristic
219C22×SD16C2311yescharacteristic
220C22×SD16C2311yescharacteristic
221C22×SD16C2311yescharacteristic
222C22×SD16C2311yescharacteristic
223C22×SD16C2311yescharacteristic
224C22×D8C2311yescharacteristic
225C22×D8C2311yescharacteristic
226C23×C8C2311yescharacteristic
227C23×C8C2311yescharacteristic
228D4×Q8—42no—
229D4×Q8—42no—
230#548—42no—
231#548—42no—
232#546—42no—
233#546—42no—
234C2×C4⋊Q8—21no—
235C2×C4⋊Q8C2311yescharacteristic
236#529—42no—
237#529—42no—
238C2×#126—21no—
239C2×#125C2311yescharacteristic
240C2×#124—21no—
241C2×#124C2311yescharacteristic
242C2×#124C2311yescharacteristic
243C2×#124C2311yescharacteristic
244C2×#123—21no—
245C2×#123—21no—
246C2×C22⋊Q8—21no—
247C2×C22⋊Q8—21no—
248C2×C22⋊Q8—21no—
249C2×C22⋊Q8C2311yescharacteristic
250C2×C22⋊Q8C2311yescharacteristic
251C2×C22⋊Q8C2311yescharacteristic
252C2×C22⋊Q8C2311yescharacteristic
253C2×C22⋊Q8C2311yescharacteristic
254C2×C22⋊Q8C2311yescharacteristic
255C2×#121—21no—
256C2×#121—21no—
257C2×#121—21no—
258C2×#121—21no—
259C2×#121D411yescharacteristic
260C2×#121C2311yescharacteristic
261C2×#121C2311yescharacteristic
262C2×#121C2311yescharacteristic
263C2×#121C2311yescharacteristic
264C2×#121C2311yescharacteristic
265C2×#120—21no—
266C2×#120—21no—
267C2×C4×Q8C2311yescharacteristic
268C2×C4×Q8C2311yescharacteristic
269C2×C4×Q8C2311yescharacteristic
270C2×C4×Q8C2311yescharacteristic
271C2×C4×D4—21no—
272C2×C4×D4—21no—
273C2×C4×D4—21no—
274C2×C4×D4—21no—
275C2×C4×D4C2311yescharacteristic
276C2×C4×D4C2311yescharacteristic
277C2×C4×D4C2311yescharacteristic
278C2×C4×D4C2311yescharacteristic
279C2×C4×D4C2311yescharacteristic
280C2×C4×D4C2311yescharacteristic
281C2×#117—21no—
282C22×C4⋊C4C2311yescharacteristic
283C22×C22⋊C4—21no—
284C22×C22⋊C4—21no—
285C22×C42C2311yescharacteristic
286#481—42no—
287#464—42no—
288#463—42no—
289#463—42no—
290#462—42no—
291#452—42no—
292#452—42no—
293#451—42no—
294#451—42no—
295#450—42no—
296#449—42no—
297#448—42no—
298#448—42no—
299#447—42no—
300#441—42no—
301#440—42no—
302C2×#107C2311yescharacteristic
303C2×#106C2311yescharacteristic
304C2×#106C2311yescharacteristic
305C2×#106C2311yescharacteristic
306C2×C4⋊C8C2311yescharacteristic
307C2×C4⋊C8C2311yescharacteristic
308C2×C4⋊C8C2311yescharacteristic
309C2×C4⋊C8C2311yescharacteristic
310C2×#103C2311yescharacteristic
311C2×#103C2311yescharacteristic
312C2×#103C2311yescharacteristic
313C2×#103C2311yescharacteristic
314C2×#103C2311yescharacteristic
315C2×#103C2311yescharacteristic
316C2×#103C2311yescharacteristic
317C2×#103C2311yescharacteristic
318C2×#103C2311yescharacteristic
319C2×#103C2311yescharacteristic
320C2×#103C2311yescharacteristic
321C2×#103C2311yescharacteristic
322C2×#103C2311yescharacteristic
323C2×#103C2311yescharacteristic
324C2×#103C2311yescharacteristic
325C2×#103C2311yescharacteristic
326C2×#103C2311yescharacteristic
327C2×#103C2311yescharacteristic
328C2×#103C2311yescharacteristic
329C2×#102C2311yescharacteristic
330C2×#102C2311yescharacteristic
331C2×#102C2311yescharacteristic
332C2×#102C2311yescharacteristic
333C2×#102C2311yescharacteristic
334C2×#102C2311yescharacteristic
335C2×#102C2311yescharacteristic
336C2×#102C2311yescharacteristic
337C2×#102C2311yescharacteristic
338C2×#102C2311yescharacteristic
339C2×#102C2311yescharacteristic
340C2×#102C2311yescharacteristic
341C2×#102C2311yescharacteristic
342C2×C22⋊C8C2311yescharacteristic
343C2×C22⋊C8C2311yescharacteristic
344C2×C22⋊C8C2311yescharacteristic
345C2×C22⋊C8C2311yescharacteristic
346C2×C22⋊C8C2311yescharacteristic
347C2×C22⋊C8C2311yescharacteristic
348C2×C22⋊C8C2311yescharacteristic
349C2×C22⋊C8C2311yescharacteristic
350C2×C22⋊C8C2311yescharacteristic
351C2×C22⋊C8C2311yescharacteristic
352C2×#97C2311yescharacteristic
353C2×#97C2311yescharacteristic
354#400—21no—
355#400—21no—
356#400—21no—
357#400—21no—
358#399—21no—
359#399—21no—
360#398—21no—
361#398—21no—
362#398—21no—
363#398—21no—
364#397—21no—
365#397—21no—
366#397—21no—
367#397—21no—
368#396—21no—
369#396—21no—
370#396—21no—
371#396—21no—
372#395—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#393—21no—
385#393—21no—
386#393—21no—
387#392—21no—
388#392—21no—
389#392—21no—
390#391—21no—
391#391—21no—
392#391C2311yescharacteristic
393#391C2311yescharacteristic
394#391C2311yescharacteristic
395#391C2311yescharacteristic
396#391C2311yescharacteristic
397#391C2311yescharacteristic
398#391C2311yescharacteristic
399#390—21no—
400#390—21no—
401#390D411yescharacteristic
402#390C2311yescharacteristic
403#390C2311yescharacteristic
404#390C2311yescharacteristic
405#390C2311yescharacteristic
406#390C2311yescharacteristic
407#390C2311yescharacteristic
408#389D411yescharacteristic
409#389C2311yescharacteristic
410#389C2311yescharacteristic
411#389C2311yescharacteristic
412#388—21no—
413#388—21no—
414#388—21no—
415#388—21no—
416#388—21no—
417#388—21no—
418#388—21no—
419#388—21no—
420#388—21no—
421#388—21no—
422#388—21no—
423#388—21no—
424#388—21no—
425#388—21no—
426#388D411yescharacteristic
427#388D411yescharacteristic
428#387—21no—
429#387—21no—
430#387—21no—
431#387—21no—
432#387—21no—
433#386—21no—
434#386—21no—
435#386—21no—
436#386—21no—
437#386—21no—
438#386—21no—
439#386—21no—
440#386—21no—
441#386—21no—
442#386—21no—
443#386—21no—
444#386—21no—
445#386—21no—
446#386D411yescharacteristic
447#386D411yescharacteristic
448#385—21no—
449#385—21no—
450#385—21no—
451#385—21no—
452#385—21no—
453#385—21no—
454#385—21no—
455#385—21no—
456#384C2311yescharacteristic
457#382C2311yescharacteristic
458#382C2311yescharacteristic
459#381—21no—
460#380—21no—
461#380—21no—
462#380—21no—
463#380D411yescharacteristic
464#380C2311yescharacteristic
465#380C2311yescharacteristic
466#380C2311yescharacteristic
467#380C2311yescharacteristic
468#380C2311yescharacteristic
469#380C2311yescharacteristic
470#380C2311yescharacteristic
471#379—21no—
472#379—21no—
473C4×C4⋊C4C2311yescharacteristic
474C4×C4⋊C4C2311yescharacteristic
475C4×C22⋊C4—21no—
476C4×C22⋊C4—21no—
477C4×C22⋊C4—21no—
478C4×C22⋊C4C2311yescharacteristic
479C4×C22⋊C4C2311yescharacteristic
480C2×#95—21no—
481C2×#95—21no—
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#340C2311yescharacteristic
497#340C2311yescharacteristic
498#336C2311yescharacteristic
499#336C2311yescharacteristic
500#336C2311yescharacteristic
501#336C2311yescharacteristic
502#336C2311yescharacteristic
503#336C2311yescharacteristic
504#336C2311yescharacteristic
505#336C2311yescharacteristic
506#336C2311yescharacteristic
507#336C2311yescharacteristic
508C25—21no—
509C2×#41—22no—
510C2×#41—22no—
511C2×#41—22no—
512C2×#41—41no—
513C2×#41—41no—
514C2×#41—41no—
515C2×#41—41no—
516C2×#41—41no—
517C2×#41—41no—
518C2×#41—41no—
519C2×#41—41no—
520C2×#41—41no—
521C22×Q8—22no—
522C22×Q8—22no—
523C22×Q8—21no—
524C22×Q8—21no—
525C22×Q8—22no—
526C22×Q8—41no—
527C22×Q8—41no—
528C22×Q8—41no—
529C22×Q8—41no—
530C22×Q8—41no—
531C22×Q8—41no—
532C22×Q8—41no—
533C22×Q8—41no—
534C22×Q8—41no—
535C22×Q8C2411yescharacteristic
536C22×Q8C2411yescharacteristic
537C22×Q8C2411yescharacteristic
538C22×Q8C2411yescharacteristic
539C22×D4—22no—
540C22×D4—22no—
541C22×D4—21no—
542C22×D4—21no—
543C22×D4—21no—
544C22×D4—21no—
545C22×D4—21no—
546C22×D4—21no—
547C22×D4—21no—
548C22×D4—21no—
549C22×D4—41no—
550C22×D4—41no—
551C22×D4—41no—
552C22×D4—41no—
553C22×D4C2×D411yescharacteristic
554C22×D4C2×D411yescharacteristic
555C22×D4C2×D411yescharacteristic
556C22×D4C2411yescharacteristic
557C22×D4C2411yescharacteristic
558C22×D4C2411yescharacteristic
559C23×C4—21no—
560C23×C4—21no—
561C23×C4—21no—
562C23×C4—21no—
563C23×C4—21no—
564C23×C4—21no—
565C23×C4—21no—
566C23×C4—21no—
567C23×C4C2×D411yescharacteristic
568C23×C4C2×D411yescharacteristic
569C23×C4C2411yescharacteristic
570C23×C4C2411yescharacteristic
571C23×C4C2411yescharacteristic
572#135—416no—
573C2×Q16—22no—
574C2×Q16—22no—
575C2×Q16—22no—
576C2×Q16—22no—
577C2×Q16—22no—
578C2×Q16—41no—
579C2×Q16—41no—
580C2×Q16—41no—
581C2×Q16—41no—
582C2×SD16—22no—
583C2×SD16—22no—
584C2×SD16—22no—
585C2×SD16—22no—
586C2×SD16—22no—
587C2×SD16—22no—
588C2×SD16—22no—
589C2×SD16—22no—
590C2×SD16—22no—
591C2×SD16—22no—
592C2×SD16—22no—
593C2×SD16—41no—
594C2×SD16—41no—
595C2×SD16—41no—
596C2×SD16—41no—
597C2×SD16—41no—
598C2×SD16—41no—
599C2×SD16—41no—
600C2×SD16—41no—
601C2×SD16—41no—
602C2×SD16—41no—
603C2×SD16—416no—
604C2×D8—22no—
605C2×D8—22no—
606C2×D8—41no—
607C2×D8—41no—
608C2×D8—41no—
609C2×D8—41no—
610C22×C8—41no—
611C22×C8—41no—
612C22×C8—41no—
613C22×C8—41no—
614C22×C8—41no—
615C22×C8—41no—
616C22×C8C2411yescharacteristic
617C22×C8C2411yescharacteristic
618C22×C8C2411yescharacteristic
619C22×C8C2411yescharacteristic
620C22×C8C2411yescharacteristic
621C22×C8C2411yescharacteristic
622C22×C8C2411yescharacteristic
623C22×C8C2411yescharacteristic
624C4⋊Q8—22no—
625C4⋊Q8—41no—
626C4⋊Q8—44no—
627#126—44no—
628#125—41no—
629#125—41no—
630#124—22no—
631#124—22no—
632#124—22no—
633#124—41no—
634#124—41no—
635#124—41no—
636#124—44no—
637#123—44no—
638#123—44no—
639C22⋊Q8—22no—
640C22⋊Q8—22no—
641C22⋊Q8—22no—
642C22⋊Q8—22no—
643C22⋊Q8—41no—
644C22⋊Q8—41no—
645C22⋊Q8—41no—
646C22⋊Q8—41no—
647C22⋊Q8—41no—
648C22⋊Q8—41no—
649C22⋊Q8—44no—
650C22⋊Q8—44no—
651C22⋊Q8—44no—
652C22⋊Q8—41no—
653C22⋊Q8—41no—
654#121—22no—
655#121—22no—
656#121—22no—
657#121—42no—
658#121—44no—
659#121—41no—
660#121—41no—
661#121—41no—
662#121—41no—
663#121—41no—
664#121—44no—
665#121—44no—
666#121—41no—
667#121—41no—
668#121—82no—
669#120—44no—
670#120—82no—
671C4×Q8—22no—
672C4×Q8—22no—
673C4×Q8—22no—
674C4×Q8—41no—
675C4×Q8—41no—
676C4×Q8—41no—
677C4×Q8—41no—
678C4×Q8—41no—
679C4×D4—22no—
680C4×D4—41no—
681C4×D4—41no—
682C4×D4—41no—
683C4×D4—41no—
684C4×D4—41no—
685C4×D4—41no—
686C4×D4—41no—
687C4×D4—41no—
688C4×D4—41no—
689C4×D4—41no—
690C4×D4—41no—
691C4×D4—44no—
692C4×D4—44no—
693C4×D4—44no—
694C4×D4—82no—
695#117—44no—
696C2×C4⋊C4—21no—
697C2×C4⋊C4—21no—
698C2×C4⋊C4—21no—
699C2×C4⋊C4—21no—
700C2×C4⋊C4—21no—
701C2×C4⋊C4—21no—
702C2×C4⋊C4—21no—
703C2×C4⋊C4—21no—
704C2×C4⋊C4—21no—
705C2×C4⋊C4—21no—
706C2×C4⋊C4—21no—
707C2×C4⋊C4—21no—
708C2×C4⋊C4—21no—
709C2×C4⋊C4—21no—
710C2×C4⋊C4—21no—
711C2×C4⋊C4—21no—
712C2×C4⋊C4—21no—
713C2×C4⋊C4—21no—
714C2×C4⋊C4—21no—
715C2×C4⋊C4—21no—
716C2×C4⋊C4—41no—
717C2×C4⋊C4—41no—
718C2×C4⋊C4C2×D411yescharacteristic
719C2×C4⋊C4C2×D411yescharacteristic
720C2×C4⋊C4C2×D411yescharacteristic
721C2×C4⋊C4C2×D411yescharacteristic
722C2×C4⋊C4C2×D411yescharacteristic
723C2×C4⋊C4C2411yescharacteristic
724C2×C4⋊C4C2411yescharacteristic
725C2×C4⋊C4C2411yescharacteristic
726C2×C4⋊C4C2411yescharacteristic
727C2×C4⋊C4C2411yescharacteristic
728C2×C4⋊C4C2411yescharacteristic
729C2×C4⋊C4C2411yescharacteristic
730C2×C4⋊C4C2411yescharacteristic
731C2×C4⋊C4C2411yescharacteristic
732C2×C22⋊C4—21no—
733C2×C22⋊C4—21no—
734C2×C22⋊C4—21no—
735C2×C22⋊C4—21no—
736C2×C22⋊C4—21no—
737C2×C22⋊C4—21no—
738C2×C22⋊C4—21no—
739C2×C22⋊C4—21no—
740C2×C22⋊C4—21no—
741C2×C22⋊C4—21no—
742C2×C22⋊C4—21no—
743C2×C22⋊C4—21no—
744C2×C22⋊C4—21no—
745C2×C22⋊C4—21no—
746C2×C22⋊C4—21no—
747C2×C22⋊C4—21no—
748C2×C22⋊C4—21no—
749C2×C22⋊C4—21no—
750C2×C22⋊C4—21no—
751C2×C22⋊C4—21no—
752C2×C22⋊C4—21no—
753C2×C22⋊C4—21no—
754C2×C22⋊C4—21no—
755C2×C22⋊C4—21no—
756C2×C22⋊C4—21no—
757C2×C22⋊C4—21no—
758C2×C22⋊C4—21no—
759C2×C22⋊C4—21no—
760C2×C22⋊C4—21no—
761C2×C22⋊C4—21no—
762C2×C22⋊C4—21no—
763C2×C22⋊C4—21no—
764C2×C22⋊C4—21no—
765C2×C22⋊C4—21no—
766C2×C22⋊C4—21no—
767C2×C22⋊C4—21no—
768C2×C22⋊C4—21no—
769C2×C22⋊C4—21no—
770C2×C22⋊C4—21no—
771C2×C22⋊C4—44no—
772C2×C22⋊C4—44no—
773C2×C22⋊C4C2×D411yescharacteristic
774C2×C22⋊C4C2×D411yescharacteristic
775C2×C22⋊C4C2×D411yescharacteristic
776C2×C22⋊C4C2×D411yescharacteristic
777C2×C22⋊C4C2×D411yescharacteristic
778C2×C22⋊C4C2×D411yescharacteristic
779C2×C22⋊C4C2×D411yescharacteristic
780C2×C22⋊C4C2×D411yescharacteristic
781C2×C22⋊C4C2×D411yescharacteristic
782C2×C22⋊C4C2×D411yescharacteristic
783C2×C42—21no—
784C2×C42—21no—
785C2×C42—21no—
786C2×C42—21no—
787C2×C42—21no—
788C2×C42—41no—
789C2×C42—41no—
790C2×C42C2×D411yescharacteristic
791C2×C42C2×D411yescharacteristic
792C2×C42C2411yescharacteristic
793C2×C42C2411yescharacteristic
794C2×C42C2411yescharacteristic
795C2×C42C2411yescharacteristic
796#107—41no—
797#106—41no—
798#106—41no—
799#106—41no—
800C4⋊C8—41no—
801C4⋊C8—41no—
802C4⋊C8—41no—
803C4⋊C8—41no—
804#103—22no—
805#103—22no—
806#103—41no—
807#103—41no—
808#103—41no—
809#103—41no—
810#103—41no—
811#103—41no—
812#103—41no—
813#103—41no—
814#103—41no—
815#103—41no—
816#103—41no—
817#103—41no—
818#103—41no—
819#103—41no—
820#103—41no—
821#103—41no—
822#103—41no—
823#102—22no—
824#102—22no—
825#102—41no—
826#102—41no—
827#102—41no—
828#102—41no—
829#102—41no—
830#102—41no—
831#102—41no—
832#102—41no—
833#102—41no—
834#102—41no—
835#102—41no—
836C22⋊C8—41no—
837C22⋊C8—41no—
838C22⋊C8—41no—
839C22⋊C8—41no—
840C22⋊C8—41no—
841C22⋊C8—41no—
842C22⋊C8—41no—
843C22⋊C8—41no—
844C22⋊C8—41no—
845C22⋊C8—41no—
846#97—41no—
847#97—41no—
848#95—21no—
849#95—21no—
850#95—21no—
851#95—21no—
852#95—21no—
853#95—21no—
854#95—21no—
855#95—21no—
856#95—21no—
857#95—21no—
858#95—21no—
859#95—21no—
860#95—21no—
861#95—21no—
862#95—21no—
863#95—21no—
864#95—21no—
865#95—21no—
866#95—21no—
867#95—21no—
868#95—21no—
869#95—21no—
870#95—21no—
871#95—21no—
872#95—21no—
873#95—21no—
874#95—21no—
875#95—21no—
876#95—21no—
877#95C2×D411yescharacteristic
878#95C2×D411yescharacteristic
879#95C2×D411yescharacteristic
880#95C2×D411yescharacteristic
881#95C2×D411yescharacteristic
882#95C2×D411yescharacteristic
883C24—21no—
884C24—21no—
885C24—21no—
886C24—42no—
887C24—42no—
888C24—42no—
889C24—81no—
890C24—81no—
891C24—81no—
892C24—81no—
893C24C22×D411yescharacteristic
894C24C22×D411yescharacteristic
895C24C22×D411yescharacteristic
896#41—44no—
897#41—44no—
898#41—82no—
899#41—82no—
900#41—82no—
901#41—82no—
902#41—82no—
903#41—82no—
904C2×Q8—24no—
905C2×Q8—21no—
906C2×Q8—21no—
907C2×Q8—21no—
908C2×Q8—21no—
909C2×Q8—21no—
910C2×Q8—21no—
911C2×Q8—21no—
912C2×Q8—21no—
913C2×Q8—21no—
914C2×Q8—21no—
915C2×Q8—21no—
916C2×Q8—21no—
917C2×Q8—21no—
918C2×Q8—21no—
919C2×Q8—21no—
920C2×Q8—21no—
921C2×Q8—21no—
922C2×Q8—21no—
923C2×Q8—21no—
924C2×Q8—21no—
925C2×Q8—21no—
926C2×Q8—42no—
927C2×Q8—44no—
928C2×Q8—81no—
929C2×Q8—81no—
930C2×Q8—81no—
931C2×Q8—81no—
932C2×Q8—82no—
933C2×Q8—82no—
934C2×Q8—82no—
935C2×Q8—82no—
936C2×Q8—82no—
937C2×Q8—82no—
938C2×Q8—82no—
939C2×Q8H(5,𝔽2)12yes—
940C2×Q8H(5,𝔽2)12yes—
941C2×Q8H(5,𝔽2)12yes—
942C2×D4—22no—
943C2×D4—22no—
944C2×D4—22no—
945C2×D4—22no—
946C2×D4—21no—
947C2×D4—21no—
948C2×D4—21no—
949C2×D4—21no—
950C2×D4—21no—
951C2×D4—21no—
952C2×D4—21no—
953C2×D4—21no—
954C2×D4—21no—
955C2×D4—21no—
956C2×D4—21no—
957C2×D4—21no—
958C2×D4—21no—
959C2×D4—21no—
960C2×D4—21no—
961C2×D4—21no—
962C2×D4—41no—
963C2×D4—41no—
964C2×D4—41no—
965C2×D4—41no—
966C2×D4—41no—
967C2×D4—42no—
968C2×D4—42no—
969C2×D4—42no—
970C2×D4—42no—
971C2×D4—44no—
972C2×D4—42no—
973C2×D4—42no—
974C2×D4—42no—
975C2×D4—42no—
976C2×D4—42no—
977C2×D4—42no—
978C2×D4—42no—
979C2×D4—42no—
980C2×D4—42no—
981C2×D4—42no—
982C2×D4—81no—
983C2×D4—82no—
984C2×D4—82no—
985C2×D4—82no—
986C2×D4—81no—
987C2×D4—81no—
988C2×D4—81no—
989C2×D4—81no—
990C2×D4—81no—
991C2×D4—81no—
992C2×D4—81no—
993C2×D4—81no—
994C2×D4—81no—
995C2×D4H(5,𝔽2)12yes—
996C2×D4H(5,𝔽2)12yes—
997C22×C4—21no—
998C22×C4—21no—
999C22×C4—21no—
1000C22×C4—24no—
1001C22×C4—22no—
1002C22×C4—21no—
1003C22×C4—21no—
1004C22×C4—21no—
1005C22×C4—21no—
1006C22×C4—21no—
1007C22×C4—21no—
1008C22×C4—21no—
1009C22×C4—21no—
1010C22×C4—21no—
1011C22×C4—21no—
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—21no—
1024C22×C4—21no—
1025C22×C4—21no—
1026C22×C4—21no—
1027C22×C4—21no—
1028C22×C4—21no—
1029C22×C4—21no—
1030C22×C4—41no—
1031C22×C4—41no—
1032C22×C4—41no—
1033C22×C4—41no—
1034C22×C4—41no—
1035C22×C4—42no—
1036C22×C4—42no—
1037C22×C4—42no—
1038C22×C4—42no—
1039C22×C4—42no—
1040C22×C4—42no—
1041C22×C4—42no—
1042C22×C4—42no—
1043C22×C4—42no—
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×C4—81no—
1055C22×C4—81no—
1056C22×C4—81no—
1057C22×C4—81no—
1058C22×C4C22×D411yescharacteristic
1059C22×C4C22×D411yescharacteristic
1060C22×C4C22×D411yescharacteristic
1061C22×C4C22×D411yescharacteristic
1062C22×C4C22×D411yescharacteristic
1063C22×C4C22×D411yescharacteristic
1064C22×C4C22×D411yescharacteristic
1065C22×C4C22×D411yescharacteristic
1066C22×C4C22×D411yescharacteristic
1067C22×C4C22×D411yescharacteristic
1068C22×C4C22×D411yescharacteristic
1069C22×C4C2511yescharacteristic
1070Q16—44no—
1071Q16—44no—
1072Q16—82no—
1073SD16—44no—
1074SD16—44no—
1075SD16—44no—
1076SD16—44no—
1077SD16—44no—
1078SD16—44no—
1079SD16—44no—
1080D8—44no—
1081D8—82no—
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—
1100C2×C8—21no—
1101C2×C8—21no—
1102C2×C8—21no—
1103C2×C8—21no—
1104C2×C8—21no—
1105C2×C8—21no—
1106C2×C8—44no—
1107C2×C8—44no—
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—21no—
1121C4⋊C4—21no—
1122C4⋊C4—21no—
1123C4⋊C4—21no—
1124C4⋊C4—21no—
1125C4⋊C4—21no—
1126C4⋊C4—41no—
1127C4⋊C4—41no—
1128C4⋊C4—41no—
1129C4⋊C4—41no—
1130C4⋊C4—41no—
1131C4⋊C4—42no—
1132C4⋊C4—42no—
1133C4⋊C4—42no—
1134C4⋊C4—42no—
1135C4⋊C4—42no—
1136C4⋊C4—42no—
1137C4⋊C4—42no—
1138C4⋊C4—42no—
1139C4⋊C4—42no—
1140C4⋊C4—42no—
1141C4⋊C4—42no—
1142C4⋊C4—42no—
1143C4⋊C4—42no—
1144C4⋊C4—81no—
1145C4⋊C4—81no—
1146C4⋊C4—81no—
1147C4⋊C4—81no—
1148C4⋊C4—81no—
1149C4⋊C4—81no—
1150C4⋊C4—81no—
1151C22⋊C4—24no—
1152C22⋊C4—24no—
1153C22⋊C4—22no—
1154C22⋊C4—41no—
1155C22⋊C4—41no—
1156C22⋊C4—41no—
1157C22⋊C4—41no—
1158C22⋊C4—41no—
1159C22⋊C4—41no—
1160C22⋊C4—41no—
1161C22⋊C4—41no—
1162C22⋊C4—41no—
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—42no—
1174C22⋊C4—42no—
1175C22⋊C4—42no—
1176C22⋊C4—42no—
1177C22⋊C4—42no—
1178C22⋊C4—42no—
1179C22⋊C4—42no—
1180C22⋊C4—42no—
1181C22⋊C4—42no—
1182C22⋊C4—42no—
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—
1199C22⋊C4—81no—
1200C42—21no—
1201C42—21no—
1202C42—21no—
1203C42—21no—
1204C42—21no—
1205C42—21no—
1206C42—21no—
1207C42—21no—
1208C42—41no—
1209C42—41no—
1210C42—42no—
1211C42—42no—
1212C42—42no—
1213C42—81no—
1214C42—81no—
1215C23—21no—
1216C23—21no—
1217C23—21no—
1218C23—21no—
1219C23—21no—
1220C23—21no—
1221C23—21no—
1222C23—21no—
1223C23—21no—
1224C23—21no—
1225C23—21no—
1226C23—21no—
1227C23—21no—
1228C23—21no—
1229C23—22no—
1230C23—21no—
1231C23—21no—
1232C23—22no—
1233C23—21no—
1234C23—21no—
1235C23—21no—
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—84no—
1256C23—84no—
1257C23—84no—
1258C23—162no—
1259C23—162no—
1260C23—162no—
1261C23—162no—
1262C23#57512yes—
1263C23#57712yes—
1264C23C23×D411yescharacteristic
1265Q8—22no—
1266Q8—22no—
1267Q8—22no—
1268Q8—22no—
1269Q8—22no—
1270Q8—22no—
1271Q8—41no—
1272Q8—41no—
1273Q8—41no—
1274Q8—41no—
1275Q8—41no—
1276Q8—41no—
1277Q8—41no—
1278Q8—41no—
1279Q8—41no—
1280Q8—41no—
1281Q8—84no—
1282Q8—84no—
1283D4—22no—
1284D4—22no—
1285D4—22no—
1286D4—22no—
1287D4—44no—
1288D4—41no—
1289D4—41no—
1290D4—41no—
1291D4—41no—
1292D4—41no—
1293D4—41no—
1294D4—41no—
1295D4—41no—
1296D4—82no—
1297D4—82no—
1298D4—84no—
1299D4—84no—
1300D4—84no—
1301D4—84no—
1302D4—84no—
1303D4—84no—
1304D4—162no—
1305D4—162no—
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—21no—
1317C2×C4—21no—
1318C2×C4—21no—
1319C2×C4—21no—
1320C2×C4—21no—
1321C2×C4—21no—
1322C2×C4—21no—
1323C2×C4—22no—
1324C2×C4—22no—
1325C2×C4—22no—
1326C2×C4—21no—
1327C2×C4—21no—
1328C2×C4—21no—
1329C2×C4—21no—
1330C2×C4—21no—
1331C2×C4—21no—
1332C2×C4—21no—
1333C2×C4—21no—
1334C2×C4—21no—
1335C2×C4—21no—
1336C2×C4—21no—
1337C2×C4—21no—
1338C2×C4—21no—
1339C2×C4—21no—
1340C2×C4—21no—
1341C2×C4—21no—
1342C2×C4—41no—
1343C2×C4—41no—
1344C2×C4—41no—
1345C2×C4—41no—
1346C2×C4—41no—
1347C2×C4—41no—
1348C2×C4—41no—
1349C2×C4—41no—
1350C2×C4—41no—
1351C2×C4—41no—
1352C2×C4—41no—
1353C2×C4—41no—
1354C2×C4—41no—
1355C2×C4—41no—
1356C2×C4—41no—
1357C2×C4—41no—
1358C2×C4—41no—
1359C2×C4—41no—
1360C2×C4—41no—
1361C2×C4—41no—
1362C2×C4—41no—
1363C2×C4—41no—
1364C2×C4—41no—
1365C2×C4—41no—
1366C2×C4—41no—
1367C2×C4—41no—
1368C2×C4—41no—
1369C2×C4—41no—
1370C2×C4—41no—
1371C2×C4—41no—
1372C2×C4—41no—
1373C2×C4—41no—
1374C2×C4—41no—
1375C2×C4—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—82no—
1391C2×C4—84no—
1392C2×C4—82no—
1393C2×C4—84no—
1394C2×C4—84no—
1395C2×C4—84no—
1396C2×C4—84no—
1397C2×C4—162no—
1398C2×C4—162no—
1399C2×C4—162no—
1400C2×C4C2×H(5,𝔽2)11yescharacteristic
1401C2×C4C2×H(5,𝔽2)11yescharacteristic
1402C2×C4C2×H(5,𝔽2)11yescharacteristic
1403C2×C4C2×H(5,𝔽2)11yescharacteristic
1404C2×C4C2×H(5,𝔽2)11yescharacteristic
1405C2×C4#58511yescharacteristic
1406C8—41no—
1407C8—41no—
1408C8—41no—
1409C8—41no—
1410C8—41no—
1411C8—41no—
1412C8—41no—
1413C8—41no—
1414C22—22no—
1415C22—22no—
1416C22—22no—
1417C22—22no—
1418C22—22no—
1419C22—22no—
1420C22—41no—
1421C22—41no—
1422C22—41no—
1423C22—41no—
1424C22—41no—
1425C22—41no—
1426C22—41no—
1427C22—41no—
1428C22—41no—
1429C22—42no—
1430C22—42no—
1431C22—41no—
1432C22—42no—
1433C22—41no—
1434C22—41no—
1435C22—42no—
1436C22—41no—
1437C22—41no—
1438C22—42no—
1439C22—42no—
1440C22—41no—
1441C22—81no—
1442C22—81no—
1443C22—81no—
1444C22—81no—
1445C22—81no—
1446C22—81no—
1447C22—81no—
1448C22—81no—
1449C22—81no—
1450C22—81no—
1451C22—81no—
1452C22—81no—
1453C22—81no—
1454C22—81no—
1455C22—81no—
1456C22—168no—
1457C22#348411yescharacteristic
1458C22#348411yescharacteristic
1459C22#348811yescharacteristic
1460C22C2×#57511yescharacteristic
1461C22C2×#57711yescharacteristic
1462C22#358411yescharacteristic
1463C22#358611yescharacteristic
1464C4—41no—
1465C4—41no—
1466C4—41no—
1467C4—41no—
1468C4—41no—
1469C4—41no—
1470C4—41no—
1471C4—41no—
1472C4—41no—
1473C4—42no—
1474C4—42no—
1475C4—42no—
1476C4—41no—
1477C4—41no—
1478C4—81no—
1479C4—81no—
1480C4—81no—
1481C4—81no—
1482C4—81no—
1483C4—81no—
1484C4—81no—
1485C4—81no—
1486C4—81no—
1487C4—81no—
1488C4#353211yescharacteristic
1489C4#353211yescharacteristic
1490C4#353411yescharacteristic
1491C4#353411yescharacteristic
1492C2—42no—
1493C2—42no—
1494C2—81no—
1495C2—82no—
1496C2—82no—
1497C2—161no—
1498C2#4783011yescharacteristic
1499C2#6158011yescharacteristic
1500C2#6159411yescharacteristic
1501C2#6164011yescharacteristic
1502C2#6168111yescharacteristic
1503C2#6199011yescharacteristic
1504C2#6200811yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ C4×#121 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59044C2semidirect
2. #39166C2semidirect
3. #31660C2semidirect
4. #31651C2semidirect
5. #31558C2semidirect
6. #31553C2semidirect
7. #31392C2semidirect
8. #31384C2semidirect
9. #31267C2semidirect
10. #31265C2semidirect
11. #31034C2semidirect
12. #31032C2semidirect
13. #31014C2semidirect
14. #31003C2semidirect
15. #30111C2semidirect
16. #29666C2semidirect
17. #28115C2semidirect
18. #26615C2semidirect
19. #26610C2semidirect
20. #24920C2semidirect
21. #24917C2semidirect
22. #24363C2semidirect
23. #24359C2semidirect
24. #24256C2semidirect
25. #24255C2semidirect
26. #23937C2semidirect
27. #23855C2semidirect
28. #23854C2semidirect
29. #23852C2semidirect
30. #23850C2semidirect
31. #23333C2semidirect
35. C2×#548C22semidirect
39. C2×#464C22semidirect
40. C2×#462C22semidirect
47. C2×#451C22semidirect
52. C2×#441C22semidirect
54. #2850C22semidirect
71. #2448C22semidirect
72. #2446C22semidirect
74. #2432C22semidirect
78. #2421C22semidirect
81. #2417C22semidirect
94. C2×#391C22semidirect
95. #2101C22semidirect
96. #2101C22semidirect
97. #2099C22semidirect
100. #2077C22semidirect
101. #2077C22semidirect
103. #2073C22semidirect
104. #2072C22semidirect
105. #2066C22semidirect
106. #2066C22semidirect
107. #2066C22semidirect
113. #2042C22semidirect
114. #2036C22semidirect
116. #2035C22semidirect
117. #2035C22semidirect
119. #2033C22semidirect
120. #2026C22semidirect
121. #2026C22semidirect
122. #2026C22semidirect
123. #2025C22semidirect
127. #2015C22semidirect
134. #2001C22semidirect
140. #2000C22semidirect
144. #1971C22semidirect
145. #1960C22semidirect
146. #1959C22semidirect
148. #1955C22semidirect
151. #1928C22semidirect
152. #1927C22semidirect
153. #1927C22semidirect
154. #1926C22semidirect
156. #1924C22semidirect
157. #1917C22semidirect
158. #1917C22semidirect
163. #1892C22semidirect
164. #1892C22semidirect
168. #1880C22semidirect
170. #1878C22semidirect
171. #1878C22semidirect
172. #1878C22semidirect
180. #1872C22semidirect
184. #1869C22semidirect
186. #1863C22semidirect
188. #1850C22semidirect
189. #1824C22semidirect
190. #1817C22semidirect
191. #1805C22semidirect
192. #1805C22semidirect
194. #1803C22semidirect
195. #1797C22semidirect
197. #1788C22semidirect
198. #1788C22semidirect
201. #1787C22semidirect

Maximal subgroups

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

subgroupindex
#590442
#391662
#316602
#316512
#315582
#315532
#313922
#313842
#312672
#312652
#310342
#310322
#310142
#310032
#301112
#296662
#281152
#266152
#266102
#249202
#249172
#243632
#243592
#242562
#242552
#239372
#238552
#238542
#238522
#238502
#233332