Finite Group Databasebeta

← #6784540

Subgroups — #6784540

Order 512.

1895 conjugacy classes of subgroups.

The subgroup lattice has 1478 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#36362C211yesmaximal, characteristic, complemented
2#36263C211yesmaximal, characteristic, complemented
3#33183C211yesmaximal, characteristic, complemented
4#32368C211yesmaximal, characteristic, complemented
5#32299C211yesmaximal, characteristic, complemented
6#32104C211yesmaximal, characteristic, complemented
7#31850C211yesmaximal, characteristic, complemented
8#31658C211yesmaximal, characteristic, complemented
9#31307C211yesmaximal, characteristic, complemented
10#30753C211yesmaximal, characteristic, complemented
11#30462C211yesmaximal, characteristic, complemented
12#30346C211yesmaximal, characteristic, complemented
13#30324C211yesmaximal, characteristic, complemented
14#29562C211yesmaximal, characteristic, complemented
15#29499C211yesmaximal, characteristic, complemented
16#29336C211yesmaximal, characteristic, complemented
17#28310C211yesmaximal, characteristic, complemented
18#25537C211yesmaximal, characteristic, complemented
19#25537C211yesmaximal, characteristic, complemented
20#25202C211yesmaximal, characteristic, complemented
21#25202C211yesmaximal, characteristic, complemented
22#25076C211yesmaximal, characteristic, complemented
23#25076C211yesmaximal, characteristic, complemented
24#24658C211yesmaximal, characteristic, complemented
25#24510C211yesmaximal, characteristic, complemented
26#24434C211yesmaximal, characteristic, complemented
27#24434C211yesmaximal, characteristic, complemented
28#22151C211yesmaximal, characteristic, complemented
29#22051C211yesmaximal, characteristic, complemented
30#21107C211yesmaximal, characteristic, complemented
31C2×#1936C211yesmaximal, characteristic, complemented
32C2×#553—21no—
33C2×#553C2211yescharacteristic
34C2×#546C2211yescharacteristic
35C2×#496C2211yescharacteristic, complemented
36C2×#481C2211yescharacteristic
37C2×#481C2211yescharacteristic
38C2×#466C2211yescharacteristic
39C2×#466C2211yescharacteristic
40C2×#465C2211yescharacteristic
41C2×#465C2211yescharacteristic
42C2×#459C2211yescharacteristic
43C2×#459C2211yescharacteristic
44C2×#449C2211yescharacteristic
45C2×#449C2211yescharacteristic
46C2×#447C2211yescharacteristic
47C2×#447C2211yescharacteristic
48C2×#432C2211yescharacteristic, complemented
49C22×#102C2211yescharacteristic
50C22×#102C2211yescharacteristic
51C22×#97C2211yescharacteristic
52#2861C2211yescharacteristic
53#2860C2211yescharacteristic, complemented
54#2856C2211yescharacteristic
55#2856C2211yescharacteristic
56#2854C2211yescharacteristic, complemented
57#2850C2211yescharacteristic
58#2602—21no—
59#2601—21no—
60#2591—21no—
61#2566C2211yescharacteristic
62#2559—21no—
63#2558—21no—
64#2554—21no—
65#2554—21no—
66#2544C2211yescharacteristic
67#2543—21no—
68#2506C2211yescharacteristic, complemented
69#2502C2211yescharacteristic
70#2500C2211yescharacteristic
71#2496C2211yescharacteristic, complemented
72#2464—21no—
73#2464—21no—
74#2445C2211yescharacteristic, complemented
75#2433C2211yescharacteristic
76#2431C2211yescharacteristic
77#2428C2211yescharacteristic, complemented
78#2424—21no—
79#2424—21no—
80#2416C2211yescharacteristic
81#2416C2211yescharacteristic
82#2364—21no—
83#2361C2211yescharacteristic
84#2361C2211yescharacteristic
85#2358—21no—
86#2358—21no—
87C4×#127C2211yescharacteristic
88C4×#121C2211yescharacteristic, complemented
89#2297C2211yescharacteristic
90#2293C2211yescharacteristic, complemented
91C2×#390C2211yescharacteristic
92C2×#389C2211yescharacteristic
93C42×D4C2211yescharacteristic
94#2101C2211yescharacteristic, complemented
95#2101C2211yescharacteristic, complemented
96#2094C2211yescharacteristic
97#2094C2211yescharacteristic
98#2084C2211yescharacteristic, complemented
99#2084C2211yescharacteristic, complemented
100#2071C2211yescharacteristic, complemented
101#2071C2211yescharacteristic, complemented
102#2067C2211yescharacteristic
103#2067C2211yescharacteristic
104#2066C2211yescharacteristic, complemented
105#2066C2211yescharacteristic, complemented
106#2059C2211yescharacteristic, complemented
107#2059C2211yescharacteristic, complemented
108#2055C2211yescharacteristic, complemented
109#2055C2211yescharacteristic, complemented
110#2054C2211yescharacteristic
111#2054C2211yescharacteristic
112#2042C2211yescharacteristic
113#2042C2211yescharacteristic
114#2042C2211yescharacteristic, complemented
115#2042C2211yescharacteristic, complemented
116#2041C2211yescharacteristic
117#2041C2211yescharacteristic
118#2034C2211yescharacteristic
119#2034C2211yescharacteristic
120#2034C2211yescharacteristic, complemented
121#2034C2211yescharacteristic, complemented
122#2025C2211yescharacteristic, complemented
123#2025C2211yescharacteristic, complemented
124#2012C2211yescharacteristic
125#2012C2211yescharacteristic
126#2011C2211yescharacteristic
127#2011C2211yescharacteristic
128#2011C2211yescharacteristic
129#2011C2211yescharacteristic
130#1999C2211yescharacteristic
131#1999C2211yescharacteristic
132#1999C2211yescharacteristic, complemented
133#1999C2211yescharacteristic, complemented
134#1982C2211yescharacteristic
135#1982C2211yescharacteristic
136#1973C2211yescharacteristic, complemented
137#1973C2211yescharacteristic, complemented
138#1972C2211yescharacteristic
139#1972C2211yescharacteristic
140#1972C2211yescharacteristic
141#1972C2211yescharacteristic
142#1972C2211yescharacteristic, complemented
143#1972C2211yescharacteristic, complemented
144#1961C2211yescharacteristic, complemented
145#1959C2211yescharacteristic, complemented
146#1948C2211yescharacteristic, complemented
147#1948C2211yescharacteristic, complemented
148#1936C2211yescharacteristic
149#1936C2211yescharacteristic
150#1936C2211yescharacteristic
151#1936C2211yescharacteristic
152#1936C2211yescharacteristic
153#1936C2211yescharacteristic
154#1936C2211yescharacteristic
155#1936C2211yescharacteristic
156#1936C2211yescharacteristic, complemented
157#1936C2211yescharacteristic, complemented
158#1935C2211yescharacteristic, complemented
159#1935C2211yescharacteristic, complemented
160#1927C2211yescharacteristic, complemented
161#1927C2211yescharacteristic, complemented
162#1925C2211yescharacteristic
163#1925C2211yescharacteristic
164#1924C2211yescharacteristic, complemented
165#1924C2211yescharacteristic, complemented
166#1917C2211yescharacteristic, complemented
167#1917C2211yescharacteristic, complemented
168#1879C2211yescharacteristic
169#1879C2211yescharacteristic
170#1879C2211yescharacteristic
171#1879C2211yescharacteristic
172#1879C2211yescharacteristic, complemented
173#1879C2211yescharacteristic, complemented
174#1877C2211yescharacteristic, complemented
175#1877C2211yescharacteristic, complemented
176#1875C2211yescharacteristic, complemented
177#1875C2211yescharacteristic, complemented
178#1874C2211yescharacteristic
179#1874C2211yescharacteristic
180#1872C2211yescharacteristic
181#1872C2211yescharacteristic
182#1869C2211yescharacteristic
183#1869C2211yescharacteristic
184#1864C2211yescharacteristic
185#1864C2211yescharacteristic
186#1864C2211yescharacteristic, complemented
187#1864C2211yescharacteristic, complemented
188#1854C2211yescharacteristic, complemented
189#1854C2211yescharacteristic, complemented
190#1850C2211yescharacteristic
191#1850C2211yescharacteristic
192#1847C2211yescharacteristic, complemented
193#1802C2211yescharacteristic, complemented
194#1802C2211yescharacteristic, complemented
195#1788C2211yescharacteristic
196#1788C2211yescharacteristic
197#1767C2211yescharacteristic, complemented
198#1749C2211yescharacteristic
199#1749C2211yescharacteristic, complemented
200#1745C2211yescharacteristic, complemented
201C2×#340C2211yescharacteristic
202C2×#340C2211yescharacteristic
203C22×#41C2311yescharacteristic
204C23×D4C2311yescharacteristic
205C22×SD16C2311yescharacteristic
206C22×SD16C2311yescharacteristic
207C22×D8C2311yescharacteristic
208C22×D8C2311yescharacteristic
209C22×D8C2311yescharacteristic
210C22×D8C2311yescharacteristic
211C22×D8C2311yescharacteristic
212C22×D8C2311yescharacteristic
213C23×C8C2311yescharacteristic
214C23×C8C2311yescharacteristic
215#553—42no—
216#553—42no—
217#553—48no—
218#546—42no—
219#546—42no—
220C2×#127C2311yescharacteristic
221C2×#127C2311yescharacteristic
222C2×#127C2311yescharacteristic
223C2×#126—21no—
224C2×#126—21no—
225C2×#126—21no—
226C2×#125—21no—
227C2×#125C2311yescharacteristic
228C2×#124C2311yescharacteristic
229C2×#124C2311yescharacteristic
230C2×#123—21no—
231C2×#123—21no—
232C2×#123—21no—
233C2×#123—21no—
234C2×C22⋊Q8C2311yescharacteristic
235C2×#121—21no—
236C2×#121—21no—
237C2×#121—21no—
238C2×#121—21no—
239C2×#121—21no—
240C2×#121—21no—
241C2×#121—21no—
242C2×#121—21no—
243C2×#121—21no—
244C2×#121C2311yescharacteristic
245C2×#121C2311yescharacteristic
246C2×#121C2311yescharacteristic
247C2×#121C2311yescharacteristic
248C2×#121C2311yescharacteristic
249C2×#121C2311yescharacteristic
250C2×#121C2311yescharacteristic
251C2×#120—21no—
252C2×#120—21no—
253C2×#120—21no—
254C2×C4×D4—21no—
255C2×C4×D4—21no—
256C2×C4×D4—21no—
257C2×C4×D4—21no—
258C2×C4×D4—21no—
259C2×C4×D4—21no—
260C2×C4×D4D411yescharacteristic
261C2×C4×D4D411yescharacteristic
262C2×C4×D4C2311yescharacteristic
263C2×C4×D4C2311yescharacteristic
264C2×C4×D4C2311yescharacteristic
265C2×C4×D4C2311yescharacteristic
266C2×C4×D4C2311yescharacteristic
267C2×#117—21no—
268C2×#117C2311yescharacteristic
269C22×C4⋊C4—21no—
270C22×C4⋊C4C2311yescharacteristic
271C22×C4⋊C4C2311yescharacteristic
272C22×C4⋊C4C2311yescharacteristic
273C22×C22⋊C4—21no—
274C22×C22⋊C4—21no—
275C22×C22⋊C4—21no—
276C22×C42C2311yescharacteristic
277C22×C42C2311yescharacteristic
278#496—42no—
279#481—42no—
280#481—42no—
281#466—42no—
282#466—42no—
283#465—42no—
284#465—42no—
285#459—24no—
286#459—42no—
287#449—24no—
288#449—42no—
289#447—42no—
290#447—42no—
291#432—42no—
292C2×#107C2311yescharacteristic
293C2×#107C2311yescharacteristic
294C2×#106C2311yescharacteristic
295C2×#106C2311yescharacteristic
296C2×#106C2311yescharacteristic
297C2×#106C2311yescharacteristic
298C2×#106C2311yescharacteristic
299C2×#106C2311yescharacteristic
300C2×C4⋊C8C2311yescharacteristic
301C2×C4⋊C8C2311yescharacteristic
302C2×C4⋊C8C2311yescharacteristic
303C2×C4⋊C8C2311yescharacteristic
304C2×#103C2311yescharacteristic
305C2×#103C2311yescharacteristic
306C2×#103C2311yescharacteristic
307C2×#103C2311yescharacteristic
308C2×#103C2311yescharacteristic
309C2×#103C2311yescharacteristic
310C2×#102—24no—
311C2×#102—42no—
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×#102C2311yescharacteristic
335C2×#102C2311yescharacteristic
336C2×#102C2311yescharacteristic
337C2×#102C2311yescharacteristic
338C2×C22⋊C8C2311yescharacteristic
339C2×C22⋊C8C2311yescharacteristic
340C2×C22⋊C8C2311yescharacteristic
341C2×C22⋊C8C2311yescharacteristic
342C2×C22⋊C8C2311yescharacteristic
343C2×C22⋊C8C2311yescharacteristic
344C2×#97—42no—
345C2×#97C2311yescharacteristic
346C2×#97C2311yescharacteristic
347C2×#97C2311yescharacteristic
348C2×#97C2311yescharacteristic
349C2×#97C2311yescharacteristic
350C2×#97C2311yescharacteristic
351#400—21no—
352#400—21no—
353#398—21no—
354#398—21no—
355#398—21no—
356#397—21no—
357#396—21no—
358#396—21no—
359#396—21no—
360#396—21no—
361#394—21no—
362#394—21no—
363#394—21no—
364#394—21no—
365#394—21no—
366#394—21no—
367#394—21no—
368#394—21no—
369#394—21no—
370#392—21no—
371#392—21no—
372#392—21no—
373#392—21no—
374#392—21no—
375#391C2311yescharacteristic
376#391C2311yescharacteristic
377#391C2311yescharacteristic
378#390—21no—
379#390—21no—
380#390—21no—
381#390—21no—
382#390—21no—
383#390—21no—
384#390—21no—
385#390—21no—
386#390C2311yescharacteristic
387#390C2311yescharacteristic
388#390C2311yescharacteristic
389#390C2311yescharacteristic
390#390C2311yescharacteristic
391#390C2311yescharacteristic
392#390C2311yescharacteristic
393#390C2311yescharacteristic
394#390C2311yescharacteristic
395#390C2311yescharacteristic
396#390C2311yescharacteristic
397#390C2311yescharacteristic
398#390C2311yescharacteristic
399#389—21no—
400#389—21no—
401#389C2311yescharacteristic
402#389C2311yescharacteristic
403#389C2311yescharacteristic
404#389C2311yescharacteristic
405#389C2311yescharacteristic
406#389C2311yescharacteristic
407#389C2311yescharacteristic
408#389C2311yescharacteristic
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#388—21no—
422#388—21no—
423#388—21no—
424#388—21no—
425#388—21no—
426#388—21no—
427#387—21no—
428#387—21no—
429#386—21no—
430#386—21no—
431#386—21no—
432#386—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#385—21no—
446#385—21no—
447#385—21no—
448#385—21no—
449#385—21no—
450#385—21no—
451#384C2311yescharacteristic
452#384C2311yescharacteristic
453#384C2311yescharacteristic
454#382C2311yescharacteristic
455#380C2311yescharacteristic
456#380C2311yescharacteristic
457C4×C4⋊C4D411yescharacteristic
458C4×C4⋊C4D411yescharacteristic
459C4×C4⋊C4C2311yescharacteristic
460C4×C4⋊C4C2311yescharacteristic
461C4×C4⋊C4C2311yescharacteristic
462C4×C22⋊C4—21no—
463C4×C22⋊C4—21no—
464C4×C22⋊C4—21no—
465C4×C22⋊C4—21no—
466C4×C22⋊C4D411yescharacteristic
467C4×C22⋊C4D411yescharacteristic
468C4×C22⋊C4D411yescharacteristic
469C4×C22⋊C4D411yescharacteristic
470C4×C22⋊C4C2311yescharacteristic
471C4×C22⋊C4C2311yescharacteristic
472C2×#95—21no—
473C43C2311yescharacteristic
474#340C2311yescharacteristic
475#340C2311yescharacteristic
476#340C2311yescharacteristic
477#340C2311yescharacteristic
478#340C2311yescharacteristic
479#340C2311yescharacteristic
480#340C2311yescharacteristic
481#340C2311yescharacteristic
482#340C2311yescharacteristic
483#340C2311yescharacteristic
484#340C2311yescharacteristic
485#340C2311yescharacteristic
486#340C2311yescharacteristic
487#340C2311yescharacteristic
488#340C2311yescharacteristic
489#340C2311yescharacteristic
490#336C2311yescharacteristic
491#336C2311yescharacteristic
492#336C2311yescharacteristic
493#336C2311yescharacteristic
494#336C2311yescharacteristic
495#336C2311yescharacteristic
496#336C2311yescharacteristic
497#336C2311yescharacteristic
498#336C2311yescharacteristic
499#336C2311yescharacteristic
500C25—21no—
501C2×#41—22no—
502C2×#41—41no—
503C2×#41—41no—
504C2×#41—41no—
505C2×#41—41no—
506C2×#41—41no—
507C22×Q8C2411yescharacteristic
508C22×D4—22no—
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—21no—
523C22×D4—21no—
524C22×D4—22no—
525C22×D4—22no—
526C22×D4—41no—
527C22×D4—41no—
528C22×D4—41no—
529C22×D4C2×D411yescharacteristic
530C22×D4C2411yescharacteristic
531C22×D4C2411yescharacteristic
532C22×D4C2411yescharacteristic
533C22×D4C2411yescharacteristic
534C22×D4C2411yescharacteristic
535C23×C4—21no—
536C23×C4—21no—
537C23×C4—21no—
538C23×C4—21no—
539C23×C4—21no—
540C23×C4—21no—
541C23×C4—21no—
542C23×C4—21no—
543C23×C4C2×D411yescharacteristic
544C23×C4C2×D411yescharacteristic
545C23×C4C2×D411yescharacteristic
546C23×C4C2×D411yescharacteristic
547C23×C4C2411yescharacteristic
548C23×C4C2411yescharacteristic
549C2×SD16—22no—
550C2×SD16—22no—
551C2×SD16—41no—
552C2×SD16—41no—
553C2×SD16—41no—
554C2×SD16—41no—
555C2×D8—22no—
556C2×D8—22no—
557C2×D8—22no—
558C2×D8—22no—
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—
573C22×C8—22no—
574C22×C8—22no—
575C22×C8—22no—
576C22×C8—22no—
577C22×C8—41no—
578C22×C8—41no—
579C22×C8C2411yescharacteristic
580C22×C8C2411yescharacteristic
581C22×C8C2411yescharacteristic
582C22×C8C2411yescharacteristic
583C22×C8C2411yescharacteristic
584C22×C8C2411yescharacteristic
585C22×C8C2411yescharacteristic
586C22×C8C2411yescharacteristic
587#127—22no—
588#127—41no—
589#127—41no—
590#127—41no—
591#127—41no—
592#127—41no—
593#126—44no—
594#126—44no—
595#126—44no—
596#125—41no—
597#125—41no—
598#125—44no—
599#124—41no—
600#124—41no—
601#124—41no—
602#124—41no—
603#123—44no—
604#123—44no—
605#123—44no—
606#123—44no—
607C22⋊Q8—22no—
608C22⋊Q8—22no—
609#121—22no—
610#121—22no—
611#121—22no—
612#121—22no—
613#121—22no—
614#121—22no—
615#121—22no—
616#121—44no—
617#121—44no—
618#121—41no—
619#121—41no—
620#121—41no—
621#121—41no—
622#121—41no—
623#121—44no—
624#121—44no—
625#121—44no—
626#121—44no—
627#121—44no—
628#121—41no—
629#121—41no—
630#121—82no—
631#121—82no—
632#120—44no—
633#120—44no—
634#120—44no—
635C4×D4—22no—
636C4×D4—22no—
637C4×D4—24no—
638C4×D4—22no—
639C4×D4—41no—
640C4×D4—41no—
641C4×D4—41no—
642C4×D4—41no—
643C4×D4—41no—
644C4×D4—41no—
645C4×D4—41no—
646C4×D4—42no—
647C4×D4—44no—
648C4×D4—44no—
649C4×D4—44no—
650C4×D4—44no—
651C4×D4—82no—
652C4×D4—82no—
653#117—44no—
654#117—41no—
655#117—41no—
656C2×C4⋊C4—22no—
657C2×C4⋊C4—22no—
658C2×C4⋊C4—22no—
659C2×C4⋊C4—21no—
660C2×C4⋊C4—21no—
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—21no—
678C2×C4⋊C4—21no—
679C2×C4⋊C4—41no—
680C2×C4⋊C4—41no—
681C2×C4⋊C4—41no—
682C2×C4⋊C4—44no—
683C2×C4⋊C4C2×D411yescharacteristic
684C2×C4⋊C4C2×D411yescharacteristic
685C2×C4⋊C4C2×D411yescharacteristic
686C2×C4⋊C4C2411yescharacteristic
687C2×C4⋊C4C2411yescharacteristic
688C2×C4⋊C4C2411yescharacteristic
689C2×C4⋊C4C2411yescharacteristic
690C2×C4⋊C4C2411yescharacteristic
691C2×C4⋊C4C2411yescharacteristic
692C2×C4⋊C4C2411yescharacteristic
693C2×C4⋊C4C2411yescharacteristic
694C2×C4⋊C4C2411yescharacteristic
695C2×C4⋊C4C2411yescharacteristic
696C2×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—21no—
740C2×C22⋊C4—21no—
741C2×C22⋊C4—44no—
742C2×C22⋊C4—82no—
743C2×C22⋊C4—82no—
744C2×C22⋊C4C2×D411yescharacteristic
745C2×C22⋊C4C2×D411yescharacteristic
746C2×C22⋊C4C2×D411yescharacteristic
747C2×C22⋊C4C2×D411yescharacteristic
748C2×C22⋊C4C2×D411yescharacteristic
749C2×C22⋊C4C2×D411yescharacteristic
750C2×C42—21no—
751C2×C42—21no—
752C2×C42—21no—
753C2×C42—41no—
754C2×C42—41no—
755C2×C42—41no—
756C2×C42—41no—
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—41no—
771#107—41no—
772#106—41no—
773#106—41no—
774#106—41no—
775#106—41no—
776#106—41no—
777#106—41no—
778C4⋊C8—22no—
779C4⋊C8—22no—
780C4⋊C8—41no—
781C4⋊C8—41no—
782#103—22no—
783#103—41no—
784#103—41no—
785#103—41no—
786#103—41no—
787#103—41no—
788#102—22no—
789#102—22no—
790#102—22no—
791#102—22no—
792#102—22no—
793#102—22no—
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#4114yes—
814C22⋊C8—22no—
815C22⋊C8—22no—
816C22⋊C8—22no—
817C22⋊C8—22no—
818C22⋊C8—41no—
819C22⋊C8—41no—
820#97—22no—
821#97—22no—
822#97—41no—
823#97—41no—
824#97—41no—
825#97—41no—
826#95—21no—
827#95—21no—
828#95—21no—
829#95—21no—
830#95—21no—
831#95—21no—
832#95—21no—
833#95—21no—
834#95—21no—
835#95—21no—
836#95—21no—
837#95—21no—
838#95—21no—
839#95—21no—
840#95—21no—
841#95—21no—
842#95—21no—
843#95—21no—
844#95—21no—
845#95—21no—
846#95C2×D411yescharacteristic
847#95C2×D411yescharacteristic
848#95C2×D411yescharacteristic
849#95C2×D411yescharacteristic
850#95C2×D411yescharacteristic
851#95C2×D411yescharacteristic
852C24—21no—
853C24—21no—
854C24—21no—
855C24—21no—
856C24—21no—
857C24—42no—
858C24—42no—
859C24—42no—
860C24—42no—
861C24—81no—
862C24—81no—
863C24—81no—
864C24C22×D411yescharacteristic
865C24C22×D411yescharacteristic
866#41—82no—
867#41—82no—
868#41—82no—
869#41—82no—
870C2×Q8—21no—
871C2×Q8—21no—
872C2×Q8—21no—
873C2×Q8—21no—
874C2×Q8—21no—
875C2×Q8—21no—
876C2×D4—22no—
877C2×D4—22no—
878C2×D4—22no—
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—21no—
905C2×D4—21no—
906C2×D4—21no—
907C2×D4—21no—
908C2×D4—44no—
909C2×D4—44no—
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—42no—
933C2×D4—42no—
934C2×D4—42no—
935C2×D4—42no—
936C2×D4—82no—
937C2×D4—82no—
938C2×D4—81no—
939C2×D4—81no—
940C2×D4—81no—
941C2×D4—81no—
942C2×D4—81no—
943C2×D4—81no—
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×D4—81no—
955C2×D4—81no—
956C2×D4—81no—
957C2×D4C2×#4112yes—
958C22×C4—21no—
959C22×C4—21no—
960C22×C4—21no—
961C22×C4—21no—
962C22×C4—21no—
963C22×C4—22no—
964C22×C4—22no—
965C22×C4—21no—
966C22×C4—21no—
967C22×C4—21no—
968C22×C4—21no—
969C22×C4—21no—
970C22×C4—21no—
971C22×C4—22no—
972C22×C4—21no—
973C22×C4—21no—
974C22×C4—21no—
975C22×C4—21no—
976C22×C4—21no—
977C22×C4—21no—
978C22×C4—21no—
979C22×C4—21no—
980C22×C4—21no—
981C22×C4—21no—
982C22×C4—41no—
983C22×C4—41no—
984C22×C4—41no—
985C22×C4—41no—
986C22×C4—41no—
987C22×C4—41no—
988C22×C4—41no—
989C22×C4—41no—
990C22×C4—41no—
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—81no—
1003C22×C4—81no—
1004C22×C4—81no—
1005C22×C4—81no—
1006C22×C4—81no—
1007C22×C4—81no—
1008C22×C4—81no—
1009C22×C4—81no—
1010C22×C4—81no—
1011C22×C4—81no—
1012C22×C4—81no—
1013C22×C4—81no—
1014C22×C4—81no—
1015C22×C4C22×D411yescharacteristic
1016C22×C4C22×D411yescharacteristic
1017C22×C4C22×D411yescharacteristic
1018C22×C4C22×D411yescharacteristic
1019C22×C4C22×D411yescharacteristic
1020C22×C4C22×D411yescharacteristic
1021C22×C4C22×D411yescharacteristic
1022C22×C4C22×D411yescharacteristic
1023C22×C4C22×D411yescharacteristic
1024C22×C4C22×D411yescharacteristic
1025C22×C4C22×D411yescharacteristic
1026C22×C4C22×D411yescharacteristic
1027C22×C4H(5,𝔽2)12yes—
1028C22×C4H(5,𝔽2)12yes—
1029C22×C4C2511yescharacteristic
1030SD16—82no—
1031SD16—82no—
1032D8—82no—
1033D8—82no—
1034D8—82no—
1035D8—82no—
1036D8—82no—
1037D8—82no—
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—
1056C2×C8—21no—
1057C2×C8—21no—
1058C2×C8—21no—
1059C2×C8—21no—
1060C2×C8—44no—
1061C2×C8—44no—
1062C2×C8C2×#4112yes—
1063C2×C8H(5,𝔽2)12yes—
1064C4⋊C4—22no—
1065C4⋊C4—22no—
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—21no—
1077C4⋊C4—21no—
1078C4⋊C4—21no—
1079C4⋊C4—21no—
1080C4⋊C4—21no—
1081C4⋊C4—21no—
1082C4⋊C4—21no—
1083C4⋊C4—21no—
1084C4⋊C4—21no—
1085C4⋊C4—41no—
1086C4⋊C4—42no—
1087C4⋊C4—42no—
1088C4⋊C4—42no—
1089C4⋊C4—42no—
1090C4⋊C4—42no—
1091C4⋊C4—42no—
1092C4⋊C4—42no—
1093C4⋊C4—42no—
1094C4⋊C4—42no—
1095C4⋊C4—42no—
1096C4⋊C4—42no—
1097C4⋊C4—42no—
1098C4⋊C4—42no—
1099C4⋊C4—42no—
1100C4⋊C4—42no—
1101C4⋊C4—81no—
1102C4⋊C4—81no—
1103C4⋊C4—81no—
1104C4⋊C4—81no—
1105C4⋊C4—81no—
1106C4⋊C4C2×#4112yes—
1107C22⋊C4—22no—
1108C22⋊C4—22no—
1109C22⋊C4—22no—
1110C22⋊C4—22no—
1111C22⋊C4—41no—
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—42no—
1131C22⋊C4—42no—
1132C22⋊C4—42no—
1133C22⋊C4—42no—
1134C22⋊C4—42no—
1135C22⋊C4—42no—
1136C22⋊C4—42no—
1137C22⋊C4—42no—
1138C22⋊C4—42no—
1139C22⋊C4—42no—
1140C22⋊C4—42no—
1141C22⋊C4—42no—
1142C22⋊C4—42no—
1143C22⋊C4—42no—
1144C22⋊C4—42no—
1145C22⋊C4—81no—
1146C22⋊C4—81no—
1147C22⋊C4—81no—
1148C22⋊C4—81no—
1149C22⋊C4—81no—
1150C22⋊C4—81no—
1151C22⋊C4—81no—
1152C22⋊C4—81no—
1153C22⋊C4—81no—
1154C22⋊C4—81no—
1155C22⋊C4—81no—
1156C22⋊C4—81no—
1157C22⋊C4AGL(1,ℤ/8)14yes—
1158C42—22no—
1159C42—21no—
1160C42—21no—
1161C42—21no—
1162C42—21no—
1163C42—21no—
1164C42—21no—
1165C42—21no—
1166C42—21no—
1167C42—21no—
1168C42—21no—
1169C42—41no—
1170C42—41no—
1171C42—41no—
1172C42—41no—
1173C42—41no—
1174C42—41no—
1175C42—41no—
1176C42—42no—
1177C42—42no—
1178C42—42no—
1179C23—21no—
1180C23—21no—
1181C23—21no—
1182C23—21no—
1183C23—21no—
1184C23—21no—
1185C23—21no—
1186C23—21no—
1187C23—22no—
1188C23—21no—
1189C23—21no—
1190C23—21no—
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—41no—
1220C23—41no—
1221C23—41no—
1222C23—41no—
1223C23—41no—
1224C23—41no—
1225C23—84no—
1226C23—84no—
1227C23—84no—
1228C23—84no—
1229C23—162no—
1230C23—162no—
1231C23—162no—
1232C23#53512yes—
1233C23C2×AGL(1,ℤ/8)12yes—
1234C23#57512yes—
1235C23C23×D411yescharacteristic
1236Q8—41no—
1237Q8—41no—
1238Q8—41no—
1239Q8—41no—
1240D4—22no—
1241D4—22no—
1242D4—44no—
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—41no—
1256D4—41no—
1257D4—41no—
1258D4—41no—
1259D4—41no—
1260D4—41no—
1261D4—84no—
1262D4—84no—
1263D4—84no—
1264D4—84no—
1265D4—84no—
1266D4—84no—
1267D4—84no—
1268D4—84no—
1269D4—162no—
1270D4—162no—
1271D4—162no—
1272D4—162no—
1273D4—162no—
1274D4—162no—
1275D4—162no—
1276C2×C4—21no—
1277C2×C4—21no—
1278C2×C4—21no—
1279C2×C4—21no—
1280C2×C4—21no—
1281C2×C4—21no—
1282C2×C4—22no—
1283C2×C4—22no—
1284C2×C4—22no—
1285C2×C4—22no—
1286C2×C4—21no—
1287C2×C4—21no—
1288C2×C4—21no—
1289C2×C4—21no—
1290C2×C4—21no—
1291C2×C4—21no—
1292C2×C4—21no—
1293C2×C4—21no—
1294C2×C4—21no—
1295C2×C4—21no—
1296C2×C4—21no—
1297C2×C4—21no—
1298C2×C4—22no—
1299C2×C4—21no—
1300C2×C4—21no—
1301C2×C4—21no—
1302C2×C4—21no—
1303C2×C4—21no—
1304C2×C4—21no—
1305C2×C4—21no—
1306C2×C4—21no—
1307C2×C4—21no—
1308C2×C4—21no—
1309C2×C4—21no—
1310C2×C4—21no—
1311C2×C4—21no—
1312C2×C4—21no—
1313C2×C4—21no—
1314C2×C4—41no—
1315C2×C4—41no—
1316C2×C4—41no—
1317C2×C4—41no—
1318C2×C4—41no—
1319C2×C4—41no—
1320C2×C4—41no—
1321C2×C4—41no—
1322C2×C4—41no—
1323C2×C4—41no—
1324C2×C4—41no—
1325C2×C4—41no—
1326C2×C4—41no—
1327C2×C4—41no—
1328C2×C4—41no—
1329C2×C4—41no—
1330C2×C4—41no—
1331C2×C4—41no—
1332C2×C4—41no—
1333C2×C4—41no—
1334C2×C4—41no—
1335C2×C4—41no—
1336C2×C4—41no—
1337C2×C4—41no—
1338C2×C4—41no—
1339C2×C4—41no—
1340C2×C4—41no—
1341C2×C4—41no—
1342C2×C4—41no—
1343C2×C4—41no—
1344C2×C4—41no—
1345C2×C4—41no—
1346C2×C4—41no—
1347C2×C4—41no—
1348C2×C4—41no—
1349C2×C4—41no—
1350C2×C4—82no—
1351C2×C4—84no—
1352C2×C4—82no—
1353C2×C4—82no—
1354C2×C4—82no—
1355C2×C4—84no—
1356C2×C4—84no—
1357C2×C4—162no—
1358C2×C4—162no—
1359C2×C4—162no—
1360C2×C4—162no—
1361C2×C4—162no—
1362C2×C4#53512yes—
1363C2×C4C2×AGL(1,ℤ/8)12yes—
1364C2×C4C2×AGL(1,ℤ/8)12yes—
1365C2×C4C22×#4111yescharacteristic
1366C2×C4C2×H(5,𝔽2)11yescharacteristic
1367C2×C4C2×H(5,𝔽2)11yescharacteristic
1368C2×C4C2×H(5,𝔽2)11yescharacteristic
1369C2×C4#58511yescharacteristic
1370C2×C4#58511yescharacteristic
1371C8—22no—
1372C8—22no—
1373C8—41no—
1374C8—41no—
1375C8—41no—
1376C8—41no—
1377C8—41no—
1378C8—41no—
1379C22—22no—
1380C22—22no—
1381C22—22no—
1382C22—22no—
1383C22—22no—
1384C22—22no—
1385C22—41no—
1386C22—42no—
1387C22—42no—
1388C22—41no—
1389C22—41no—
1390C22—42no—
1391C22—41no—
1392C22—41no—
1393C22—41no—
1394C22—41no—
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—81no—
1421C22—81no—
1422C22—81no—
1423C22—81no—
1424C22—81no—
1425C22—81no—
1426C22—81no—
1427C22—168no—
1428C22#321414yes—
1429C22C2×#53511yescharacteristic
1430C22D4×#4111yescharacteristic
1431C22#349611yescharacteristic
1432C22C22×AGL(1,ℤ/8)11yescharacteristic
1433C22C2×#57511yescharacteristic
1434C22#358511yescharacteristic
1435C22#358511yescharacteristic
1436C4—22no—
1437C4—22no—
1438C4—22no—
1439C4—42no—
1440C4—41no—
1441C4—41no—
1442C4—41no—
1443C4—41no—
1444C4—41no—
1445C4—41no—
1446C4—41no—
1447C4—41no—
1448C4—41no—
1449C4—81no—
1450C4—81no—
1451C4—81no—
1452C4—81no—
1453C4—81no—
1454C4—81no—
1455C4—81no—
1456C4—81no—
1457C4—81no—
1458C4—81no—
1459C4#349411yescharacteristic
1460C4#351911yescharacteristic
1461C4#353411yescharacteristic
1462C4#356011yescharacteristic
1463C2—24no—
1464C2—81no—
1465C2—82no—
1466C2—161no—
1467C2—161no—
1468C2—161no—
1469C2—161no—
1470C2#3842311yescharacteristic
1471C2C2×#321411yescharacteristic
1472C2#6083011yescharacteristic
1473C2#6145111yescharacteristic
1474C2#6145611yescharacteristic
1475C2#6229811yescharacteristic
1476C2#6229911yescharacteristic
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. #36362C2semidirect
2. #36263C2semidirect
3. #33183C2semidirect
4. #32368C2semidirect
5. #32299C2semidirect
6. #32104C2semidirect
7. #31850C2semidirect
8. #31658C2semidirect
9. #31307C2semidirect
10. #30753C2semidirect
11. #30462C2semidirect
12. #30346C2semidirect
13. #30324C2semidirect
14. #29562C2semidirect
15. #29499C2semidirect
16. #29336C2semidirect
17. #28310C2semidirect
18. #25537C2semidirect
19. #25537C2semidirect
20. #25202C2semidirect
21. #25202C2semidirect
22. #25076C2semidirect
23. #25076C2semidirect
24. #24658C2semidirect
25. #24510C2semidirect
26. #24434C2semidirect
27. #24434C2semidirect
28. #22151C2semidirect
29. #22051C2semidirect
30. #21107C2semidirect
31. C2×#1936C2semidirect
35. C2×#496C22semidirect
48. C2×#432C22semidirect
53. #2860C22semidirect
56. #2854C22semidirect
68. #2506C22semidirect
71. #2496C22semidirect
74. #2445C22semidirect
77. #2428C22semidirect
88. C4×#121C22semidirect
90. #2293C22semidirect
94. #2101C22semidirect
95. #2101C22semidirect
98. #2084C22semidirect
99. #2084C22semidirect
100. #2071C22semidirect
101. #2071C22semidirect
104. #2066C22semidirect
105. #2066C22semidirect
106. #2059C22semidirect
107. #2059C22semidirect
108. #2055C22semidirect
109. #2055C22semidirect
114. #2042C22semidirect
115. #2042C22semidirect
120. #2034C22semidirect
121. #2034C22semidirect
122. #2025C22semidirect
123. #2025C22semidirect
132. #1999C22semidirect
133. #1999C22semidirect
136. #1973C22semidirect
137. #1973C22semidirect
142. #1972C22semidirect
143. #1972C22semidirect
144. #1961C22semidirect
145. #1959C22semidirect
146. #1948C22semidirect
147. #1948C22semidirect
156. #1936C22semidirect
157. #1936C22semidirect
158. #1935C22semidirect
159. #1935C22semidirect
160. #1927C22semidirect
161. #1927C22semidirect
164. #1924C22semidirect
165. #1924C22semidirect
166. #1917C22semidirect
167. #1917C22semidirect
172. #1879C22semidirect
173. #1879C22semidirect
174. #1877C22semidirect
175. #1877C22semidirect
176. #1875C22semidirect
177. #1875C22semidirect
186. #1864C22semidirect
187. #1864C22semidirect
188. #1854C22semidirect
189. #1854C22semidirect
192. #1847C22semidirect
193. #1802C22semidirect
194. #1802C22semidirect
197. #1767C22semidirect
199. #1749C22semidirect
200. #1745C22semidirect

Maximal subgroups

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

subgroupindex
#363622
#362632
#331832
#323682
#322992
#321042
#318502
#316582
#313072
#307532
#304622
#303462
#303242
#295622
#294992
#293362
#283102
#255372
#252022
#250762
#246582
#245102
#244342
#221512
#220512
#211072
C2×#19362