Finite Group Databasebeta

← #6651384

Subgroups — #6651384

Order 512.

1879 conjugacy classes of subgroups.

The subgroup lattice has 1470 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#35025C211yesmaximal, characteristic, complemented
2#34925C211yesmaximal, characteristic, complemented
3#33080C211yesmaximal, characteristic, complemented
4#33028C211yesmaximal, characteristic, complemented
5#32242C211yesmaximal, characteristic, complemented
6#32178C211yesmaximal, characteristic, complemented
7#32120C211yesmaximal, characteristic, complemented
8#31766C211yesmaximal, characteristic, complemented
9#31402C211yesmaximal, characteristic, complemented
10#31140C211yesmaximal, characteristic, complemented
11#30925C211yesmaximal, characteristic, complemented
12#30923C211yesmaximal, characteristic, complemented
13#30859C211yesmaximal, characteristic, complemented
14#30824C211yesmaximal, characteristic, complemented
15#30752C211yesmaximal, characteristic, complemented
16#30717C211yesmaximal, characteristic, complemented
17#30535C211yesmaximal, characteristic, complemented
18#30509C211yesmaximal, characteristic, complemented
19#30468C211yesmaximal, characteristic, complemented
20#30412C211yesmaximal, characteristic, complemented
21#30126C211yesmaximal, characteristic, complemented
22#30040C211yesmaximal, characteristic, complemented
23#29477C211yesmaximal, characteristic, complemented
24#29410C211yesmaximal, characteristic, complemented
25#28579C211yesmaximal, characteristic, complemented
26#28114C211yesmaximal, characteristic, complemented
27#25602C211yesmaximal, characteristic, complemented
28#25502C211yesmaximal, characteristic, complemented
29#24154C211yesmaximal, characteristic, complemented
30#23930C211yesmaximal, characteristic, complemented
31#22002C211yesmaximal, characteristic, complemented
32C2×#532—21no—
33C2×#532C2211yescharacteristic
34C2×#532C2211yescharacteristic, complemented
35C2×#496C2211yescharacteristic
36C2×#489C2211yescharacteristic
37C2×#480C2211yescharacteristic
38C2×#475C2211yescharacteristic, complemented
39C2×#478C2211yescharacteristic, complemented
40C2×#469C2211yescharacteristic
41C2×#469C2211yescharacteristic
42C2×#469C2211yescharacteristic
43C2×#468C2211yescharacteristic, complemented
44C2×#460C2211yescharacteristic, complemented
45C2×#463C2211yescharacteristic
46C2×#447C2211yescharacteristic
47C2×#447C2211yescharacteristic
48C2×#447C2211yescharacteristic
49#2861C2211yescharacteristic
50#2860C2211yescharacteristic
51#2854C2211yescharacteristic
52#2850C2211yescharacteristic
53#2651—21no—
54#2648—21no—
55#2593—21no—
56#2555—21no—
57#2555—21no—
58#2554—21no—
59#2551C2211yescharacteristic, complemented
60#2541C2211yescharacteristic
61#2541C2211yescharacteristic, complemented
62#2537C2211yescharacteristic
63#2513C2211yescharacteristic
64#2491—21no—
65#2491C2211yescharacteristic
66#2491C2211yescharacteristic, complemented
67#2490C2211yescharacteristic
68#2480—21no—
69#2448C2211yescharacteristic
70#2442C2211yescharacteristic
71#2435C2211yescharacteristic
72#2428—21no—
73#2428C2211yescharacteristic
74#2428C2211yescharacteristic, complemented
75#2426C2211yescharacteristic
76#2418—21no—
77#2417C2211yescharacteristic
78#2408C2211yescharacteristic
79#2388—21no—
80#2388—21no—
81#2321—21no—
82#2312—21no—
83C4×#127C2211yescharacteristic, complemented
84C4×C22⋊Q8C2211yescharacteristic
85C4×#121—21no—
86C4×#121C2211yescharacteristic
87C4×#121C2211yescharacteristic, complemented
88C2×#390C2211yescharacteristic
89C42×D4C2211yescharacteristic
90C42×D4C2211yescharacteristic, complemented
91#2100C2211yescharacteristic, complemented
92#2094C2211yescharacteristic
93#2085C2211yescharacteristic, complemented
94#2077C2211yescharacteristic
95#2077C2211yescharacteristic, complemented
96#2073C2211yescharacteristic, complemented
97#2072C2211yescharacteristic, complemented
98#2071C2211yescharacteristic
99#2067C2211yescharacteristic
100#2067C2211yescharacteristic
101#2065C2211yescharacteristic, complemented
102#2065C2211yescharacteristic, complemented
103#2058C2211yescharacteristic, complemented
104#2054C2211yescharacteristic
105#2054C2211yescharacteristic
106#2054C2211yescharacteristic
107#2054C2211yescharacteristic
108#2042C2211yescharacteristic
109#2041C2211yescharacteristic, complemented
110#2041C2211yescharacteristic, complemented
111#2035C2211yescharacteristic
112#2034C2211yescharacteristic
113#2034C2211yescharacteristic
114#2034C2211yescharacteristic
115#2034C2211yescharacteristic
116#2033C2211yescharacteristic, complemented
117#2025C2211yescharacteristic, complemented
118#2025C2211yescharacteristic, complemented
119#2023C2211yescharacteristic
120#2023C2211yescharacteristic
121#2023C2211yescharacteristic
122#2014C2211yescharacteristic, complemented
123#2012C2211yescharacteristic
124#2012C2211yescharacteristic
125#2012C2211yescharacteristic
126#2011C2211yescharacteristic
127#2011C2211yescharacteristic
128#2011C2211yescharacteristic
129#2011C2211yescharacteristic
130#2011C2211yescharacteristic
131#2000C2211yescharacteristic
132#2000C2211yescharacteristic
133#2000C2211yescharacteristic
134#2000C2211yescharacteristic, complemented
135#2000C2211yescharacteristic, complemented
136#1999C2211yescharacteristic
137#1999C2211yescharacteristic
138#1999C2211yescharacteristic
139#1993C2211yescharacteristic, complemented
140#1989C2211yescharacteristic, complemented
141#1988C2211yescharacteristic, complemented
142#1983C2211yescharacteristic
143#1982C2211yescharacteristic, complemented
144#1972C2211yescharacteristic
145#1961C2211yescharacteristic, complemented
146#1943C2211yescharacteristic, complemented
147#1936C2211yescharacteristic
148#1936C2211yescharacteristic, complemented
149#1928C2211yescharacteristic, complemented
150#1927C2211yescharacteristic, complemented
151#1926C2211yescharacteristic
152#1926C2211yescharacteristic
153#1926C2211yescharacteristic
154#1926C2211yescharacteristic, complemented
155#1925C2211yescharacteristic
156#1925C2211yescharacteristic
157#1924C2211yescharacteristic
158#1924C2211yescharacteristic
159#1921C2211yescharacteristic, complemented
160#1920C2211yescharacteristic, complemented
161#1919C2211yescharacteristic, complemented
162#1919C2211yescharacteristic, complemented
163#1917C2211yescharacteristic, complemented
164#1917C2211yescharacteristic, complemented
165#1895C2211yescharacteristic
166#1895C2211yescharacteristic, complemented
167#1895C2211yescharacteristic, complemented
168#1894C2211yescharacteristic, complemented
169#1880C2211yescharacteristic, complemented
170#1879C2211yescharacteristic
171#1879C2211yescharacteristic
172#1879C2211yescharacteristic
173#1879C2211yescharacteristic
174#1879C2211yescharacteristic
175#1879C2211yescharacteristic
176#1879C2211yescharacteristic
177#1879C2211yescharacteristic
178#1879C2211yescharacteristic
179#1877C2211yescharacteristic, complemented
180#1877C2211yescharacteristic, complemented
181#1877C2211yescharacteristic, complemented
182#1877C2211yescharacteristic, complemented
183#1874C2211yescharacteristic
184#1874C2211yescharacteristic
185#1870C2211yescharacteristic
186#1870C2211yescharacteristic
187#1865C2211yescharacteristic, complemented
188#1864C2211yescharacteristic, complemented
189#1864C2211yescharacteristic, complemented
190#1864C2211yescharacteristic, complemented
191#1864C2211yescharacteristic, complemented
192#1862C2211yescharacteristic, complemented
193#1851C2211yescharacteristic, complemented
194#1851C2211yescharacteristic, complemented
195#1839C2211yescharacteristic, complemented
196#1831C2211yescharacteristic, complemented
197#1823C2211yescharacteristic
198#1817C2211yescharacteristic
199#1797C2211yescharacteristic
200#1786C2211yescharacteristic
201#1749C2211yescharacteristic, complemented
202#1728C2211yescharacteristic, complemented
203C22×#41—21no—
204C22×#41—21no—
205C23×D4C2311yescharacteristic
206C22×SD16C2311yescharacteristic
207C22×SD16C2311yescharacteristic
208C22×SD16C2311yescharacteristic
209C22×D8C2311yescharacteristic
210C22×D8C2311yescharacteristic
211C22×D8C2311yescharacteristic
212C22×D8C2311yescharacteristic
213C22×D8C2311yescharacteristic
214C22×D8C2311yescharacteristic
215C22×M16C2311yescharacteristic
216C22×M16C2311yescharacteristic
217#532—42no—
218#532—42no—
219#532—42no—
220#532—42no—
221#532—48no—
222C2×C4⋊Q8—21no—
223C2×C4⋊Q8C2311yescharacteristic
224C2×C4⋊Q8C2311yescharacteristic
225C2×#127—21no—
226C2×#127C2311yescharacteristic
227C2×#127C2311yescharacteristic
228C2×#127C2311yescharacteristic
229C2×#126—21no—
230C2×#125C2311yescharacteristic
231C2×#124—21no—
232C2×#124—21no—
233C2×#124—21no—
234C2×#124—21no—
235C2×#124C2311yescharacteristic
236C2×#124C2311yescharacteristic
237C2×#123—21no—
238C2×C22⋊Q8C2311yescharacteristic
239C2×C22⋊Q8C2311yescharacteristic
240C2×#121—21no—
241C2×#121—21no—
242C2×#121—21no—
243C2×#121—21no—
244C2×#121—21no—
245C2×#121—21no—
246C2×#121—21no—
247C2×#121C2311yescharacteristic
248C2×#121C2311yescharacteristic
249C2×#121C2311yescharacteristic
250C2×#121C2311yescharacteristic
251C2×#121C2311yescharacteristic
252C2×#121C2311yescharacteristic
253C2×#121C2311yescharacteristic
254C2×#121C2311yescharacteristic
255C2×#120—21no—
256C2×C4×Q8C2311yescharacteristic
257C2×C4×D4—21no—
258C2×C4×D4—21no—
259C2×C4×D4—21no—
260C2×C4×D4—21no—
261C2×C4×D4—21no—
262C2×C4×D4—21no—
263C2×C4×D4D411yescharacteristic
264C2×C4×D4D411yescharacteristic
265C2×C4×D4C2311yescharacteristic
266C2×C4×D4C2311yescharacteristic
267C2×C4×D4C2311yescharacteristic
268C2×C4×D4C2311yescharacteristic
269C2×C4×D4C2311yescharacteristic
270C2×C4×D4C2311yescharacteristic
271C22×C4⋊C4C2311yescharacteristic
272C22×C22⋊C4—21no—
273C22×C22⋊C4—21no—
274C22×C42—21no—
275C22×C42C2311yescharacteristic
276C22×C42C2311yescharacteristic
277#496—42no—
278#489—42no—
279#480—42no—
280#478—42no—
281#475—42no—
282#469—42no—
283#469—42no—
284#469—42no—
285#468—42no—
286#463—42no—
287#460—42no—
288#447—42no—
289#447—42no—
290#447—42no—
291C2×#107C2311yescharacteristic
292C2×#107C2311yescharacteristic
293C2×#106C2311yescharacteristic
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×#102C2311yescharacteristic
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×C22⋊C8C2311yescharacteristic
333C2×C22⋊C8C2311yescharacteristic
334C2×C22⋊C8C2311yescharacteristic
335C2×C22⋊C8C2311yescharacteristic
336C2×C22⋊C8C2311yescharacteristic
337C2×C22⋊C8C2311yescharacteristic
338C2×#97C2311yescharacteristic
339C2×#97C2311yescharacteristic
340#400—21no—
341#399—21no—
342#398—21no—
343#398—21no—
344#397—21no—
345#397—21no—
346#397—21no—
347#397—21no—
348#396—21no—
349#396—21no—
350#395—21no—
351#395—21no—
352#394—21no—
353#394—21no—
354#394—21no—
355#394—21no—
356#394—21no—
357#394—21no—
358#394—21no—
359#394—21no—
360#394—21no—
361#394—21no—
362#394—21no—
363#393—21no—
364#393—21no—
365#392—21no—
366#392—21no—
367#392—21no—
368#392—21no—
369#392—21no—
370#392—21no—
371#392—21no—
372#391C2311yescharacteristic
373#391C2311yescharacteristic
374#390—21no—
375#390—21no—
376#390—21no—
377#390—21no—
378#390—21no—
379#390—21no—
380#390—21no—
381#390C2311yescharacteristic
382#390C2311yescharacteristic
383#390C2311yescharacteristic
384#390C2311yescharacteristic
385#390C2311yescharacteristic
386#390C2311yescharacteristic
387#390C2311yescharacteristic
388#390C2311yescharacteristic
389#390C2311yescharacteristic
390#390C2311yescharacteristic
391#390C2311yescharacteristic
392#390C2311yescharacteristic
393#389—21no—
394#389C2311yescharacteristic
395#389C2311yescharacteristic
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#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#387—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#384C2311yescharacteristic
433#382C2311yescharacteristic
434#380—21no—
435#380—21no—
436#380—21no—
437#380C2311yescharacteristic
438#380C2311yescharacteristic
439#380C2311yescharacteristic
440#380C2311yescharacteristic
441#379—21no—
442#379—21no—
443#379—21no—
444C4×C4⋊C4—21no—
445C4×C4⋊C4D411yescharacteristic
446C4×C4⋊C4D411yescharacteristic
447C4×C4⋊C4C2311yescharacteristic
448C4×C4⋊C4C2311yescharacteristic
449C4×C4⋊C4C2311yescharacteristic
450C4×C4⋊C4C2311yescharacteristic
451C4×C4⋊C4C2311yescharacteristic
452C4×C22⋊C4—21no—
453C4×C22⋊C4—21no—
454C4×C22⋊C4—21no—
455C4×C22⋊C4—21no—
456C4×C22⋊C4—21no—
457C4×C22⋊C4—21no—
458C4×C22⋊C4D411yescharacteristic
459C4×C22⋊C4D411yescharacteristic
460C4×C22⋊C4D411yescharacteristic
461C4×C22⋊C4D411yescharacteristic
462C4×C22⋊C4C2311yescharacteristic
463C4×C22⋊C4C2311yescharacteristic
464C43C2311yescharacteristic
465#340C2311yescharacteristic
466#340C2311yescharacteristic
467#340C2311yescharacteristic
468#340C2311yescharacteristic
469#340C2311yescharacteristic
470#340C2311yescharacteristic
471#340C2311yescharacteristic
472#340C2311yescharacteristic
473#340C2311yescharacteristic
474#340C2311yescharacteristic
475#340C2311yescharacteristic
476#340C2311yescharacteristic
477#340C2311yescharacteristic
478#340C2311yescharacteristic
479#340C2311yescharacteristic
480#340C2311yescharacteristic
481#340C2311yescharacteristic
482#340C2311yescharacteristic
483#336C2311yescharacteristic
484#336C2311yescharacteristic
485#336C2311yescharacteristic
486#336C2311yescharacteristic
487#336C2311yescharacteristic
488#336C2311yescharacteristic
489#336C2311yescharacteristic
490#336C2311yescharacteristic
491#336C2311yescharacteristic
492#336C2311yescharacteristic
493#336C2311yescharacteristic
494#336C2311yescharacteristic
495#336C2311yescharacteristic
496#336C2311yescharacteristic
497C25—21no—
498C2×#41—44no—
499C2×#41—44no—
500C2×#41—44no—
501C2×#41—44no—
502C2×#41—82no—
503C2×#41—82no—
504C22×Q8—21no—
505C22×Q8—21no—
506C22×Q8C2411yescharacteristic
507C22×D4—21no—
508C22×D4—21no—
509C22×D4—21no—
510C22×D4—21no—
511C22×D4—21no—
512C22×D4—21no—
513C22×D4—21no—
514C22×D4—21no—
515C22×D4—21no—
516C22×D4—21no—
517C22×D4—21no—
518C22×D4—21no—
519C22×D4—21no—
520C22×D4—21no—
521C22×D4—21no—
522C22×D4—41no—
523C22×D4—41no—
524C22×D4—41no—
525C22×D4—41no—
526C22×D4—41no—
527C22×D4—41no—
528C22×D4C2×D411yescharacteristic
529C22×D4C2411yescharacteristic
530C22×D4C2411yescharacteristic
531C22×D4C2411yescharacteristic
532C22×D4C2411yescharacteristic
533C22×D4C2411yescharacteristic
534C23×C4—21no—
535C23×C4—21no—
536C23×C4—21no—
537C23×C4—21no—
538C23×C4—21no—
539C23×C4—21no—
540C23×C4C2×D411yescharacteristic
541C23×C4C2×D411yescharacteristic
542C23×C4C2×D411yescharacteristic
543C23×C4C2×D411yescharacteristic
544C23×C4C2411yescharacteristic
545C23×C4C2411yescharacteristic
546C2×SD16—22no—
547C2×SD16—41no—
548C2×SD16—41no—
549C2×SD16—41no—
550C2×SD16—41no—
551C2×SD16—41no—
552C2×SD16—41no—
553C2×SD16—41no—
554C2×SD16—41no—
555C2×D8—22no—
556C2×D8—22no—
557C2×D8—41no—
558C2×D8—41no—
559C2×D8—41no—
560C2×D8—41no—
561C2×D8—41no—
562C2×D8—41no—
563C2×D8—41no—
564C2×D8—41no—
565C2×D8—41no—
566C2×D8—41no—
567C2×D8—41no—
568C2×D8—41no—
569C2×D8—41no—
570C2×D8—41no—
571C2×D8—41no—
572C2×D8—41no—
573C2×M16—41no—
574C2×M16—41no—
575C2×M16—41no—
576C2×M16—41no—
577C2×M16—41no—
578C2×M16—41no—
579C22×C8C2411yescharacteristic
580C22×C8C2411yescharacteristic
581C22×C8C2411yescharacteristic
582C22×C8C2411yescharacteristic
583C22×C8C2411yescharacteristic
584C22×C8C2411yescharacteristic
585C22×C8C2411yescharacteristic
586C22×C8C2411yescharacteristic
587C4⋊Q8—22no—
588C4⋊Q8—22no—
589C4⋊Q8—41no—
590C4⋊Q8—41no—
591C4⋊Q8—44no—
592#127—22no—
593#127—22no—
594#127—41no—
595#127—41no—
596#127—41no—
597#127—41no—
598#127—44no—
599#126—82no—
600#125—41no—
601#125—41no—
602#124—41no—
603#124—41no—
604#124—41no—
605#124—41no—
606#124—44no—
607#124—44no—
608#124—44no—
609#124—44no—
610#123—82no—
611C22⋊Q8—41no—
612C22⋊Q8—41no—
613C22⋊Q8—41no—
614C22⋊Q8—41no—
615#121—22no—
616#121—22no—
617#121—22no—
618#121—22no—
619#121—22no—
620#121—22no—
621#121—44no—
622#121—44no—
623#121—44no—
624#121—44no—
625#121—41no—
626#121—41no—
627#121—41no—
628#121—41no—
629#121—41no—
630#121—41no—
631#121—44no—
632#121—44no—
633#121—44no—
634#121—41no—
635#121—41no—
636#121—41no—
637#121—41no—
638#120—44no—
639C4×Q8—41no—
640C4×Q8—41no—
641C4×D4—22no—
642C4×D4—24no—
643C4×D4—22no—
644C4×D4—22no—
645C4×D4—42no—
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—
657C4×D4—44no—
658C4×D4—44no—
659C4×D4—44no—
660C4×D4—82no—
661C2×C4⋊C4—21no—
662C2×C4⋊C4—21no—
663C2×C4⋊C4—21no—
664C2×C4⋊C4—21no—
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—41no—
678C2×C4⋊C4—41no—
679C2×C4⋊C4C2×D411yescharacteristic
680C2×C4⋊C4C2×D411yescharacteristic
681C2×C4⋊C4C2×D411yescharacteristic
682C2×C4⋊C4C2411yescharacteristic
683C2×C4⋊C4C2411yescharacteristic
684C2×C4⋊C4C2411yescharacteristic
685C2×C4⋊C4C2411yescharacteristic
686C2×C4⋊C4C2411yescharacteristic
687C2×C4⋊C4C2411yescharacteristic
688C2×C4⋊C4C2411yescharacteristic
689C2×C4⋊C4C2411yescharacteristic
690C2×C4⋊C4C2411yescharacteristic
691C2×C4⋊C4C2411yescharacteristic
692C2×C22⋊C4—21no—
693C2×C22⋊C4—21no—
694C2×C22⋊C4—21no—
695C2×C22⋊C4—21no—
696C2×C22⋊C4—21no—
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—44no—
740C2×C22⋊C4—82no—
741C2×C22⋊C4C2×D411yescharacteristic
742C2×C22⋊C4C2×D411yescharacteristic
743C2×C22⋊C4C2×D411yescharacteristic
744C2×C22⋊C4C2×D411yescharacteristic
745C2×C22⋊C4C2×D411yescharacteristic
746C2×C22⋊C4C2×D411yescharacteristic
747C2×C42—21no—
748C2×C42—21no—
749C2×C42—21no—
750C2×C42—21no—
751C2×C42—21no—
752C2×C42—41no—
753C2×C42—41no—
754C2×C42—41no—
755C2×C42—41no—
756C2×C42—44no—
757C2×C42C2×D411yescharacteristic
758C2×C42C2×D411yescharacteristic
759C2×C42C2×D411yescharacteristic
760C2×C42C2×D411yescharacteristic
761C2×C42C2×D411yescharacteristic
762C2×C42C2×D411yescharacteristic
763C2×C42C2×D411yescharacteristic
764C2×C42C2×D411yescharacteristic
765C2×C42C2411yescharacteristic
766C2×C42C2411yescharacteristic
767C2×C42C2411yescharacteristic
768C2×C42C2411yescharacteristic
769C2×C42C2411yescharacteristic
770#107—22no—
771#107—22no—
772#106—22no—
773#106—22no—
774#106—41no—
775#106—41no—
776#106—41no—
777C4⋊C8—41no—
778C4⋊C8—41no—
779C4⋊C8—41no—
780C4⋊C8—41no—
781#103—22no—
782#103—22no—
783#103—41no—
784#103—41no—
785#103—41no—
786#102—22no—
787#102—22no—
788#102—22no—
789#102—22no—
790#102—22no—
791#102—41no—
792#102—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—
811C22⋊C8—41no—
812C22⋊C8—41no—
813C22⋊C8—41no—
814C22⋊C8—41no—
815C22⋊C8—41no—
816C22⋊C8—41no—
817#97—41no—
818#97—41no—
819#95—21no—
820#95—21no—
821#95—21no—
822#95—21no—
823#95—21no—
824#95—21no—
825#95—21no—
826#95—21no—
827#95—21no—
828#95—21no—
829#95—21no—
830#95—21no—
831#95—21no—
832#95—21no—
833#95—21no—
834#95—21no—
835#95—21no—
836#95—21no—
837#95—21no—
838#95—21no—
839#95C2×D411yescharacteristic
840#95C2×D411yescharacteristic
841#95C2×D411yescharacteristic
842#95C2×D411yescharacteristic
843#95C2×D411yescharacteristic
844#95C2×D411yescharacteristic
845C24—21no—
846C24—21no—
847C24—21no—
848C24—21no—
849C24—21no—
850C24—42no—
851C24—42no—
852C24—42no—
853C24—81no—
854C24—81no—
855C24—81no—
856C24—81no—
857C24C22×D411yescharacteristic
858C24C22×D411yescharacteristic
859#41—816no—
860#41—816no—
861C2×Q8—21no—
862C2×Q8—21no—
863C2×Q8—21no—
864C2×Q8—21no—
865C2×Q8—21no—
866C2×Q8—21no—
867C2×Q8—42no—
868C2×Q8—42no—
869C2×Q8—42no—
870C2×Q8—42no—
871C2×Q8—81no—
872C2×Q8—81no—
873C2×D4—22no—
874C2×D4—22no—
875C2×D4—21no—
876C2×D4—21no—
877C2×D4—21no—
878C2×D4—21no—
879C2×D4—21no—
880C2×D4—21no—
881C2×D4—21no—
882C2×D4—21no—
883C2×D4—21no—
884C2×D4—21no—
885C2×D4—21no—
886C2×D4—21no—
887C2×D4—21no—
888C2×D4—21no—
889C2×D4—21no—
890C2×D4—21no—
891C2×D4—21no—
892C2×D4—21no—
893C2×D4—21no—
894C2×D4—21no—
895C2×D4—21no—
896C2×D4—21no—
897C2×D4—21no—
898C2×D4—21no—
899C2×D4—21no—
900C2×D4—21no—
901C2×D4—21no—
902C2×D4—21no—
903C2×D4—21no—
904C2×D4—41no—
905C2×D4—42no—
906C2×D4—42no—
907C2×D4—42no—
908C2×D4—42no—
909C2×D4—42no—
910C2×D4—42no—
911C2×D4—42no—
912C2×D4—42no—
913C2×D4—42no—
914C2×D4—42no—
915C2×D4—42no—
916C2×D4—42no—
917C2×D4—42no—
918C2×D4—42no—
919C2×D4—42no—
920C2×D4—42no—
921C2×D4—42no—
922C2×D4—42no—
923C2×D4—42no—
924C2×D4—42no—
925C2×D4—42no—
926C2×D4—42no—
927C2×D4—42no—
928C2×D4—42no—
929C2×D4—42no—
930C2×D4—42no—
931C2×D4—42no—
932C2×D4—81no—
933C2×D4—81no—
934C2×D4—81no—
935C2×D4—81no—
936C2×D4—81no—
937C2×D4—81no—
938C2×D4—81no—
939C2×D4—81no—
940C2×D4—82no—
941C2×D4—82no—
942C2×D4—82no—
943C2×D4—82no—
944C2×D4—81no—
945C2×D4—81no—
946C2×D4—81no—
947C2×D4—81no—
948C2×D4—81no—
949C2×D4—81no—
950C2×D4—81no—
951C2×D4—81no—
952C2×D4—81no—
953C2×D4—81no—
954C2×D4H(5,𝔽2)12yes—
955C22×C4—24no—
956C22×C4—21no—
957C22×C4—21no—
958C22×C4—22no—
959C22×C4—21no—
960C22×C4—21no—
961C22×C4—21no—
962C22×C4—21no—
963C22×C4—21no—
964C22×C4—21no—
965C22×C4—21no—
966C22×C4—21no—
967C22×C4—21no—
968C22×C4—21no—
969C22×C4—21no—
970C22×C4—21no—
971C22×C4—21no—
972C22×C4—21no—
973C22×C4—21no—
974C22×C4—21no—
975C22×C4—21no—
976C22×C4—21no—
977C22×C4—21no—
978C22×C4—21no—
979C22×C4—21no—
980C22×C4—41no—
981C22×C4—41no—
982C22×C4—41no—
983C22×C4—41no—
984C22×C4—41no—
985C22×C4—41no—
986C22×C4—41no—
987C22×C4—41no—
988C22×C4—41no—
989C22×C4—41no—
990C22×C4—42no—
991C22×C4—42no—
992C22×C4—42no—
993C22×C4—42no—
994C22×C4—42no—
995C22×C4—42no—
996C22×C4—42no—
997C22×C4—42no—
998C22×C4—42no—
999C22×C4—42no—
1000C22×C4—42no—
1001C22×C4—42no—
1002C22×C4—42no—
1003C22×C4—42no—
1004C22×C4—81no—
1005C22×C4—81no—
1006C22×C4—81no—
1007C22×C4AGL(1,ℤ/8)14yes—
1008C22×C4C22×D411yescharacteristic
1009C22×C4C22×D411yescharacteristic
1010C22×C4C22×D411yescharacteristic
1011C22×C4C22×D411yescharacteristic
1012C22×C4C22×D411yescharacteristic
1013C22×C4C22×D411yescharacteristic
1014C22×C4C22×D411yescharacteristic
1015C22×C4C22×D411yescharacteristic
1016C22×C4C22×D411yescharacteristic
1017C22×C4C22×D411yescharacteristic
1018C22×C4C22×D411yescharacteristic
1019C22×C4C22×D411yescharacteristic
1020C22×C4C2511yescharacteristic
1021SD16—82no—
1022SD16—82no—
1023SD16—82no—
1024D8—82no—
1025D8—82no—
1026D8—82no—
1027D8—82no—
1028D8—82no—
1029D8—82no—
1030M16—82no—
1031M16—82no—
1032C2×C8—21no—
1033C2×C8—21no—
1034C2×C8—21no—
1035C2×C8—21no—
1036C2×C8—21no—
1037C2×C8—21no—
1038C2×C8—21no—
1039C2×C8—21no—
1040C2×C8—21no—
1041C2×C8—21no—
1042C2×C8—21no—
1043C2×C8—21no—
1044C2×C8—21no—
1045C2×C8—21no—
1046C2×C8—21no—
1047C2×C8—21no—
1048C2×C8—21no—
1049C2×C8—21no—
1050C2×C8—21no—
1051C2×C8—21no—
1052C2×C8—21no—
1053C2×C8—21no—
1054C2×C8—21no—
1055C2×C8—21no—
1056C4⋊C4—22no—
1057C4⋊C4—22no—
1058C4⋊C4—21no—
1059C4⋊C4—21no—
1060C4⋊C4—21no—
1061C4⋊C4—21no—
1062C4⋊C4—21no—
1063C4⋊C4—21no—
1064C4⋊C4—21no—
1065C4⋊C4—21no—
1066C4⋊C4—21no—
1067C4⋊C4—21no—
1068C4⋊C4—21no—
1069C4⋊C4—21no—
1070C4⋊C4—21no—
1071C4⋊C4—21no—
1072C4⋊C4—21no—
1073C4⋊C4—21no—
1074C4⋊C4—21no—
1075C4⋊C4—21no—
1076C4⋊C4—41no—
1077C4⋊C4—42no—
1078C4⋊C4—42no—
1079C4⋊C4—42no—
1080C4⋊C4—42no—
1081C4⋊C4—42no—
1082C4⋊C4—42no—
1083C4⋊C4—42no—
1084C4⋊C4—81no—
1085C4⋊C4—81no—
1086C4⋊C4—81no—
1087C4⋊C4—81no—
1088C4⋊C4—81no—
1089C4⋊C4—81no—
1090C4⋊C4—81no—
1091C4⋊C4—81no—
1092C4⋊C4—81no—
1093C4⋊C4H(5,𝔽2)12yes—
1094C4⋊C4H(5,𝔽2)12yes—
1095C22⋊C4—24no—
1096C22⋊C4—22no—
1097C22⋊C4—22no—
1098C22⋊C4—41no—
1099C22⋊C4—41no—
1100C22⋊C4—41no—
1101C22⋊C4—41no—
1102C22⋊C4—42no—
1103C22⋊C4—42no—
1104C22⋊C4—42no—
1105C22⋊C4—42no—
1106C22⋊C4—42no—
1107C22⋊C4—42no—
1108C22⋊C4—42no—
1109C22⋊C4—42no—
1110C22⋊C4—42no—
1111C22⋊C4—42no—
1112C22⋊C4—42no—
1113C22⋊C4—42no—
1114C22⋊C4—42no—
1115C22⋊C4—42no—
1116C22⋊C4—42no—
1117C22⋊C4—42no—
1118C22⋊C4—42no—
1119C22⋊C4—42no—
1120C22⋊C4—42no—
1121C22⋊C4—42no—
1122C22⋊C4—42no—
1123C22⋊C4—42no—
1124C22⋊C4—42no—
1125C22⋊C4—42no—
1126C22⋊C4—42no—
1127C22⋊C4—42no—
1128C22⋊C4—42no—
1129C22⋊C4—42no—
1130C22⋊C4—81no—
1131C22⋊C4—81no—
1132C22⋊C4—81no—
1133C22⋊C4—81no—
1134C22⋊C4—81no—
1135C22⋊C4—81no—
1136C22⋊C4—81no—
1137C22⋊C4—81no—
1138C22⋊C4—81no—
1139C22⋊C4—81no—
1140C22⋊C4—81no—
1141C22⋊C4—81no—
1142C22⋊C4—81no—
1143C22⋊C4—81no—
1144C22⋊C4—81no—
1145C22⋊C4—81no—
1146C22⋊C4—81no—
1147C22⋊C4—81no—
1148C42—22no—
1149C42—22no—
1150C42—21no—
1151C42—21no—
1152C42—21no—
1153C42—21no—
1154C42—21no—
1155C42—21no—
1156C42—21no—
1157C42—21no—
1158C42—21no—
1159C42—21no—
1160C42—41no—
1161C42—41no—
1162C42—41no—
1163C42—41no—
1164C42—41no—
1165C42—41no—
1166C42—42no—
1167C42—42no—
1168C42—42no—
1169C42—81no—
1170C42—81no—
1171C23—21no—
1172C23—21no—
1173C23—21no—
1174C23—21no—
1175C23—21no—
1176C23—21no—
1177C23—21no—
1178C23—21no—
1179C23—21no—
1180C23—22no—
1181C23—21no—
1182C23—21no—
1183C23—21no—
1184C23—21no—
1185C23—41no—
1186C23—41no—
1187C23—41no—
1188C23—41no—
1189C23—41no—
1190C23—41no—
1191C23—41no—
1192C23—41no—
1193C23—41no—
1194C23—41no—
1195C23—41no—
1196C23—41no—
1197C23—41no—
1198C23—41no—
1199C23—41no—
1200C23—41no—
1201C23—41no—
1202C23—41no—
1203C23—41no—
1204C23—41no—
1205C23—41no—
1206C23—41no—
1207C23—41no—
1208C23—41no—
1209C23—41no—
1210C23—41no—
1211C23—41no—
1212C23—41no—
1213C23—41no—
1214C23—41no—
1215C23—41no—
1216C23—41no—
1217C23—41no—
1218C23—41no—
1219C23—84no—
1220C23—84no—
1221C23—84no—
1222C23—162no—
1223C23—162no—
1224C23—162no—
1225C23—162no—
1226C23C2×AGL(1,ℤ/8)12yes—
1227C23C23×D411yescharacteristic
1228Q8—41no—
1229Q8—41no—
1230Q8—41no—
1231Q8—41no—
1232Q8—84no—
1233Q8—84no—
1234D4—22no—
1235D4—22no—
1236D4—44no—
1237D4—41no—
1238D4—41no—
1239D4—41no—
1240D4—41no—
1241D4—41no—
1242D4—41no—
1243D4—41no—
1244D4—41no—
1245D4—41no—
1246D4—41no—
1247D4—41no—
1248D4—41no—
1249D4—41no—
1250D4—41no—
1251D4—41no—
1252D4—41no—
1253D4—41no—
1254D4—41no—
1255D4—84no—
1256D4—84no—
1257D4—84no—
1258D4—84no—
1259D4—84no—
1260D4—84no—
1261D4—84no—
1262D4—84no—
1263D4—84no—
1264D4—84no—
1265D4—84no—
1266D4—84no—
1267D4—84no—
1268D4—162no—
1269D4—162no—
1270C2×C4—21no—
1271C2×C4—21no—
1272C2×C4—21no—
1273C2×C4—21no—
1274C2×C4—21no—
1275C2×C4—21no—
1276C2×C4—21no—
1277C2×C4—21no—
1278C2×C4—21no—
1279C2×C4—21no—
1280C2×C4—21no—
1281C2×C4—21no—
1282C2×C4—21no—
1283C2×C4—21no—
1284C2×C4—21no—
1285C2×C4—21no—
1286C2×C4—21no—
1287C2×C4—21no—
1288C2×C4—21no—
1289C2×C4—21no—
1290C2×C4—21no—
1291C2×C4—21no—
1292C2×C4—21no—
1293C2×C4—22no—
1294C2×C4—21no—
1295C2×C4—21no—
1296C2×C4—22no—
1297C2×C4—21no—
1298C2×C4—21no—
1299C2×C4—21no—
1300C2×C4—21no—
1301C2×C4—21no—
1302C2×C4—21no—
1303C2×C4—21no—
1304C2×C4—21no—
1305C2×C4—44no—
1306C2×C4—44no—
1307C2×C4—48no—
1308C2×C4—41no—
1309C2×C4—41no—
1310C2×C4—41no—
1311C2×C4—41no—
1312C2×C4—41no—
1313C2×C4—41no—
1314C2×C4—41no—
1315C2×C4—41no—
1316C2×C4—41no—
1317C2×C4—41no—
1318C2×C4—41no—
1319C2×C4—41no—
1320C2×C4—41no—
1321C2×C4—41no—
1322C2×C4—41no—
1323C2×C4—41no—
1324C2×C4—41no—
1325C2×C4—41no—
1326C2×C4—41no—
1327C2×C4—41no—
1328C2×C4—41no—
1329C2×C4—41no—
1330C2×C4—41no—
1331C2×C4—41no—
1332C2×C4—41no—
1333C2×C4—41no—
1334C2×C4—41no—
1335C2×C4—41no—
1336C2×C4—41no—
1337C2×C4—41no—
1338C2×C4—41no—
1339C2×C4—41no—
1340C2×C4—41no—
1341C2×C4—41no—
1342C2×C4—41no—
1343C2×C4—41no—
1344C2×C4—41no—
1345C2×C4—41no—
1346C2×C4—41no—
1347C2×C4—84no—
1348C2×C4—84no—
1349C2×C4—84no—
1350C2×C4—82no—
1351C2×C4—82no—
1352C2×C4—84no—
1353C2×C4—162no—
1354C2×C4C2×AGL(1,ℤ/8)12yes—
1355C2×C4C2×AGL(1,ℤ/8)12yes—
1356C2×C4#57512yes—
1357C2×C4C2×H(5,𝔽2)11yescharacteristic
1358C2×C4C2×H(5,𝔽2)11yescharacteristic
1359C2×C4C2×H(5,𝔽2)11yescharacteristic
1360C2×C4#58511yescharacteristic
1361C2×C4#58511yescharacteristic
1362C2×C4#58511yescharacteristic
1363C8—41no—
1364C8—41no—
1365C8—41no—
1366C8—41no—
1367C8—41no—
1368C8—41no—
1369C8—41no—
1370C8—41no—
1371C22—22no—
1372C22—22no—
1373C22—22no—
1374C22—41no—
1375C22—41no—
1376C22—41no—
1377C22—41no—
1378C22—41no—
1379C22—41no—
1380C22—41no—
1381C22—41no—
1382C22—41no—
1383C22—42no—
1384C22—41no—
1385C22—42no—
1386C22—41no—
1387C22—42no—
1388C22—81no—
1389C22—81no—
1390C22—81no—
1391C22—81no—
1392C22—81no—
1393C22—81no—
1394C22—81no—
1395C22—81no—
1396C22—81no—
1397C22—81no—
1398C22—81no—
1399C22—81no—
1400C22—81no—
1401C22—81no—
1402C22—81no—
1403C22—81no—
1404C22—81no—
1405C22—81no—
1406C22—81no—
1407C22—81no—
1408C22—81no—
1409C22—81no—
1410C22—81no—
1411C22—81no—
1412C22—81no—
1413C22—81no—
1414C22—81no—
1415C22—81no—
1416C22—81no—
1417C22—81no—
1418C22—81no—
1419C22—81no—
1420C22—168no—
1421C22#344911yescharacteristic
1422C22#348411yescharacteristic
1423C22#348811yescharacteristic
1424C22C22×AGL(1,ℤ/8)11yescharacteristic
1425C22C2×#57511yescharacteristic
1426C22#358511yescharacteristic
1427C22#358511yescharacteristic
1428C4—22no—
1429C4—22no—
1430C4—22no—
1431C4—41no—
1432C4—42no—
1433C4—41no—
1434C4—41no—
1435C4—41no—
1436C4—41no—
1437C4—41no—
1438C4—42no—
1439C4—41no—
1440C4—41no—
1441C4—41no—
1442C4—81no—
1443C4—81no—
1444C4—81no—
1445C4—81no—
1446C4—81no—
1447C4—81no—
1448C4—81no—
1449C4—81no—
1450C4—81no—
1451C4#354611yescharacteristic
1452C4#355811yescharacteristic
1453C4#356011yescharacteristic
1454C4#356211yescharacteristic
1455C2—42no—
1456C2—81no—
1457C2—82no—
1458C2—161no—
1459C2—161no—
1460C2—161no—
1461C2—161no—
1462C2#3723511yescharacteristic
1463C2#6094911yescharacteristic
1464C2#6097411yescharacteristic
1465C2#6157111yescharacteristic
1466C2#6159011yescharacteristic
1467C2#6196111yescharacteristic
1468C2#6197511yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ C42×D4 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #35025C2semidirect
2. #34925C2semidirect
3. #33080C2semidirect
4. #33028C2semidirect
5. #32242C2semidirect
6. #32178C2semidirect
7. #32120C2semidirect
8. #31766C2semidirect
9. #31402C2semidirect
10. #31140C2semidirect
11. #30925C2semidirect
12. #30923C2semidirect
13. #30859C2semidirect
14. #30824C2semidirect
15. #30752C2semidirect
16. #30717C2semidirect
17. #30535C2semidirect
18. #30509C2semidirect
19. #30468C2semidirect
20. #30412C2semidirect
21. #30126C2semidirect
22. #30040C2semidirect
23. #29477C2semidirect
24. #29410C2semidirect
25. #28579C2semidirect
26. #28114C2semidirect
27. #25602C2semidirect
28. #25502C2semidirect
29. #24154C2semidirect
30. #23930C2semidirect
31. #22002C2semidirect
34. C2×#532C22semidirect
38. C2×#475C22semidirect
39. C2×#478C22semidirect
43. C2×#468C22semidirect
44. C2×#460C22semidirect
59. #2551C22semidirect
61. #2541C22semidirect
66. #2491C22semidirect
74. #2428C22semidirect
83. C4×#127C22semidirect
87. C4×#121C22semidirect
90. C42×D4C22semidirect
91. #2100C22semidirect
93. #2085C22semidirect
95. #2077C22semidirect
96. #2073C22semidirect
97. #2072C22semidirect
101. #2065C22semidirect
102. #2065C22semidirect
103. #2058C22semidirect
109. #2041C22semidirect
110. #2041C22semidirect
116. #2033C22semidirect
117. #2025C22semidirect
118. #2025C22semidirect
122. #2014C22semidirect
134. #2000C22semidirect
135. #2000C22semidirect
139. #1993C22semidirect
140. #1989C22semidirect
141. #1988C22semidirect
143. #1982C22semidirect
145. #1961C22semidirect
146. #1943C22semidirect
148. #1936C22semidirect
149. #1928C22semidirect
150. #1927C22semidirect
154. #1926C22semidirect
159. #1921C22semidirect
160. #1920C22semidirect
161. #1919C22semidirect
162. #1919C22semidirect
163. #1917C22semidirect
164. #1917C22semidirect
166. #1895C22semidirect
167. #1895C22semidirect
168. #1894C22semidirect
169. #1880C22semidirect
179. #1877C22semidirect
180. #1877C22semidirect
181. #1877C22semidirect
182. #1877C22semidirect
187. #1865C22semidirect
188. #1864C22semidirect
189. #1864C22semidirect
190. #1864C22semidirect
191. #1864C22semidirect
192. #1862C22semidirect
193. #1851C22semidirect
194. #1851C22semidirect
195. #1839C22semidirect
196. #1831C22semidirect
201. #1749C22semidirect
202. #1728C22semidirect

Maximal subgroups

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

subgroupindex
#350252
#349252
#330802
#330282
#322422
#321782
#321202
#317662
#314022
#311402
#309252
#309232
#308592
#308242
#307522
#307172
#305352
#305092
#304682
#304122
#301262
#300402
#294772
#294102
#285792
#281142
#256022
#255022
#241542
#239302
#220022