Finite Group Databasebeta

← #6773074

Subgroups — #6773074

Order 512.

1884 conjugacy classes of subgroups.

The subgroup lattice has 1507 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#38026C211yesmaximal, characteristic, complemented
2#35191C211yesmaximal, characteristic, complemented
3#33097C211yesmaximal, characteristic, complemented
4#32668C211yesmaximal, characteristic, complemented
5#32646C211yesmaximal, characteristic, complemented
6#32613C211yesmaximal, characteristic, complemented
7#32577C211yesmaximal, characteristic, complemented
8#31345C211yesmaximal, characteristic, complemented
9#31260C211yesmaximal, characteristic, complemented
10#30714C211yesmaximal, characteristic, complemented
11#30509C211yesmaximal, characteristic, complemented
12#30118C211yesmaximal, characteristic, complemented
13#30030C211yesmaximal, characteristic, complemented
14#29469C211yesmaximal, characteristic, complemented
15#29418C211yesmaximal, characteristic, complemented
16#28584C211yesmaximal, characteristic, complemented
17#28557C211yesmaximal, characteristic, complemented
18#28126C211yesmaximal, characteristic, complemented
19#26228C211yesmaximal, characteristic, complemented
20#26152C211yesmaximal, characteristic, complemented
21#25502C211yesmaximal, characteristic, complemented
22#25132C211yesmaximal, characteristic, complemented
23#25116C211yesmaximal, characteristic, complemented
24#24792C211yesmaximal, characteristic, complemented
25#24440C211yesmaximal, characteristic, complemented
26#24440C211yesmaximal, characteristic, complemented
27#23930C211yesmaximal, characteristic, complemented
28#22472C211yesmaximal, characteristic, complemented
29#22199C211yesmaximal, characteristic, complemented
30#22056C211yesmaximal, characteristic, complemented
31#21060C211yesmaximal, characteristic, complemented
32C2×D42C2211yescharacteristic
33C2×#532C2211yescharacteristic, complemented
34C2×#529C2211yescharacteristic
35C2×#482C2211yescharacteristic, complemented
36C2×#469C2211yescharacteristic
37C2×#469C2211yescharacteristic
38C2×#469C2211yescharacteristic
39C2×#469C2211yescharacteristic, complemented
40C2×#466C2211yescharacteristic, complemented
41C2×#447C2211yescharacteristic
42C2×#447C2211yescharacteristic
43C2×#447C2211yescharacteristic
44C2×#447C2211yescharacteristic
45C2×#436C2211yescharacteristic, complemented
46C2×#435C2211yescharacteristic, complemented
47C2×#428C2211yescharacteristic, complemented
48C2×#418C2211yescharacteristic
49C2×#418C2211yescharacteristic
50#2861—21no—
51#2858—21no—
52#2854C2211yescharacteristic
53#2714—21no—
54#2711—21no—
55#2685—21no—
56#2670—21no—
57#2661—21no—
58#2661—21no—
59#2624C2211yescharacteristic
60#2619C2211yescharacteristic
61#2603—21no—
62#2603—21no—
63#2580C2211yescharacteristic
64#2548C2211yescharacteristic
65#2548C2211yescharacteristic, complemented
66#2547C2211yescharacteristic, complemented
67#2546C2211yescharacteristic, complemented
68#2541C2211yescharacteristic, complemented
69#2539—21no—
70#2472—21no—
71#2432—21no—
72#2431—21no—
73#2416C2211yescharacteristic
74#2414C2211yescharacteristic
75#2414C2211yescharacteristic
76#2414C2211yescharacteristic
77#2414C2211yescharacteristic, complemented
78#2414C2211yescharacteristic, complemented
79#2410—21no—
80#2408C2211yescharacteristic
81#2408C2211yescharacteristic
82#2405—21no—
83#2352C2211yescharacteristic
84#2324C2211yescharacteristic
85#2324C2211yescharacteristic, complemented
86#2324C2211yescharacteristic, complemented
87#2324C2211yescharacteristic, complemented
88#2324C2211yescharacteristic, complemented
89#2309C2211yescharacteristic
90C2×#390C2211yescharacteristic
91C4×#117C2211yescharacteristic, complemented
92#2101C2211yescharacteristic, complemented
93#2092C2211yescharacteristic, complemented
94#2088C2211yescharacteristic, complemented
95#2085C2211yescharacteristic, complemented
96#2077C2211yescharacteristic, complemented
97#2075C2211yescharacteristic, complemented
98#2075C2211yescharacteristic, complemented
99#2073C2211yescharacteristic, complemented
100#2067C2211yescharacteristic
101#2067C2211yescharacteristic, complemented
102#2065C2211yescharacteristic, complemented
103#2065C2211yescharacteristic, complemented
104#2058C2211yescharacteristic, complemented
105#2054C2211yescharacteristic
106#2054C2211yescharacteristic, complemented
107#2054C2211yescharacteristic, complemented
108#2041C2211yescharacteristic
109#2041C2211yescharacteristic
110#2041C2211yescharacteristic, complemented
111#2034C2211yescharacteristic
112#2034C2211yescharacteristic
113#2034C2211yescharacteristic, complemented
114#2034C2211yescharacteristic, complemented
115#2034C2211yescharacteristic, complemented
116#2034C2211yescharacteristic, complemented
117#2033C2211yescharacteristic
118#2033C2211yescharacteristic, complemented
119#2023C2211yescharacteristic
120#2023C2211yescharacteristic, complemented
121#2023C2211yescharacteristic, complemented
122#2011C2211yescharacteristic
123#2011C2211yescharacteristic
124#2011C2211yescharacteristic
125#2011C2211yescharacteristic, complemented
126#2011C2211yescharacteristic, complemented
127#1999C2211yescharacteristic
128#1999C2211yescharacteristic
129#1999C2211yescharacteristic
130#1999C2211yescharacteristic, complemented
131#1999C2211yescharacteristic, complemented
132#1985C2211yescharacteristic, complemented
133#1984C2211yescharacteristic, complemented
134#1972C2211yescharacteristic
135#1970C2211yescharacteristic, complemented
136#1970C2211yescharacteristic, complemented
137#1941C2211yescharacteristic, complemented
138#1936C2211yescharacteristic, complemented
139#1936C2211yescharacteristic, complemented
140#1936C2211yescharacteristic, complemented
141#1934C2211yescharacteristic
142#1926C2211yescharacteristic
143#1926C2211yescharacteristic
144#1926C2211yescharacteristic, complemented
145#1926C2211yescharacteristic, complemented
146#1926C2211yescharacteristic, complemented
147#1926C2211yescharacteristic, complemented
148#1925C2211yescharacteristic
149#1925C2211yescharacteristic
150#1925C2211yescharacteristic, complemented
151#1925C2211yescharacteristic, complemented
152#1925C2211yescharacteristic, complemented
153#1925C2211yescharacteristic, complemented
154#1925C2211yescharacteristic, complemented
155#1925C2211yescharacteristic, complemented
156#1921C2211yescharacteristic, complemented
157#1920C2211yescharacteristic, complemented
158#1919C2211yescharacteristic, complemented
159#1919C2211yescharacteristic, complemented
160#1919C2211yescharacteristic, complemented
161#1918C2211yescharacteristic, complemented
162#1895C2211yescharacteristic, complemented
163#1895C2211yescharacteristic, complemented
164#1895C2211yescharacteristic, complemented
165#1893C2211yescharacteristic
166#1893C2211yescharacteristic, complemented
167#1893C2211yescharacteristic, complemented
168#1879C2211yescharacteristic
169#1879C2211yescharacteristic
170#1879C2211yescharacteristic
171#1879C2211yescharacteristic
172#1879C2211yescharacteristic, complemented
173#1879C2211yescharacteristic, complemented
174#1879C2211yescharacteristic, complemented
175#1879C2211yescharacteristic, complemented
176#1875C2211yescharacteristic
177#1875C2211yescharacteristic
178#1875C2211yescharacteristic, complemented
179#1874C2211yescharacteristic, complemented
180#1874C2211yescharacteristic, complemented
181#1870C2211yescharacteristic
182#1870C2211yescharacteristic
183#1870C2211yescharacteristic, complemented
184#1869C2211yescharacteristic, complemented
185#1864C2211yescharacteristic
186#1864C2211yescharacteristic
187#1864C2211yescharacteristic, complemented
188#1864C2211yescharacteristic, complemented
189#1854C2211yescharacteristic, complemented
190#1854C2211yescharacteristic, complemented
191#1854C2211yescharacteristic, complemented
192#1825C2211yescharacteristic, complemented
193#1818C2211yescharacteristic, complemented
194#1817C2211yescharacteristic, complemented
195#1809C2211yescharacteristic, complemented
196#1798C2211yescharacteristic, complemented
197#1786C2211yescharacteristic
198#1786C2211yescharacteristic
199#1750C2211yescharacteristic, complemented
200#1736C2211yescharacteristic, complemented
201#1729C2211yescharacteristic, complemented
202#1728C2211yescharacteristic, complemented
203C22×#41—21no—
204C23×D4—21no—
205C23×D4C2311yescharacteristic
206C23×D4C2311yescharacteristic
207C22×D8C2311yescharacteristic
208C22×D8C2311yescharacteristic
209C22×D8C2311yescharacteristic
210C22×D8C2311yescharacteristic
211C22×D8C2311yescharacteristic
212C22×D8C2311yescharacteristic
213C22×M16C2311yescharacteristic
214C22×M16C2311yescharacteristic
215C22×M16C2311yescharacteristic
216C23×C8C2311yescharacteristic
217D42—42no—
218D42—42no—
219#532—42no—
220#532—42no—
221C2×C4⋊Q8—21no—
222C2×C4⋊Q8C2311yescharacteristic
223C2×#127—21no—
224C2×#127C2311yescharacteristic
225C2×#127C2311yescharacteristic
226#529—42no—
227#529—42no—
228C2×#126D411yescharacteristic
229C2×#126D411yescharacteristic
230C2×#125D411yescharacteristic
231C2×#124—21no—
232C2×#124—21no—
233C2×#124—21no—
234C2×#124—21no—
235C2×#124D411yescharacteristic
236C2×#123—21no—
237C2×#123D411yescharacteristic
238C2×#123D411yescharacteristic
239C2×C22⋊Q8D411yescharacteristic
240C2×#121—21no—
241C2×#121—21no—
242C2×#121—21no—
243C2×#121D411yescharacteristic
244C2×#121C2311yescharacteristic
245C2×#121C2311yescharacteristic
246C2×#121C2311yescharacteristic
247C2×#121C2311yescharacteristic
248C2×#121C2311yescharacteristic
249C2×#121C2311yescharacteristic
250C2×#121C2311yescharacteristic
251C2×#121C2311yescharacteristic
252C2×#121C2311yescharacteristic
253C2×#121C2311yescharacteristic
254C2×#121C2311yescharacteristic
255C2×#120—21no—
256C2×#120—21no—
257C2×#120—21no—
258C2×#120—21no—
259C2×C4×Q8C2311yescharacteristic
260C2×C4×D4—21no—
261C2×C4×D4C2311yescharacteristic
262C2×C4×D4C2311yescharacteristic
263C2×C4×D4C2311yescharacteristic
264C2×C4×D4C2311yescharacteristic
265C2×C4×D4C2311yescharacteristic
266C2×C4×D4C2311yescharacteristic
267C2×#117C2311yescharacteristic
268C2×#117C2311yescharacteristic
269C2×#117C2311yescharacteristic
270C2×#117C2311yescharacteristic
271C2×#117C2311yescharacteristic
272C22×C4⋊C4C2311yescharacteristic
273C22×C22⋊C4—21no—
274C22×C22⋊C4—21no—
275C22×C42C2311yescharacteristic
276#482—42no—
277#469—24no—
278#469—42no—
279#469—42no—
280#469—42no—
281#466—42no—
282#447—24no—
283#447—42no—
284#447—42no—
285#447—42no—
286#436—42no—
287#435—42no—
288#428—42no—
289C2×#107C2311yescharacteristic
290C2×#107C2311yescharacteristic
291C2×#107C2311yescharacteristic
292C2×#107C2311yescharacteristic
293C2×#106C2311yescharacteristic
294C2×#106C2311yescharacteristic
295C2×#106C2311yescharacteristic
296C2×#106C2311yescharacteristic
297C2×#106C2311yescharacteristic
298C2×#106C2311yescharacteristic
299C2×C4⋊C8C2311yescharacteristic
300C2×C4⋊C8C2311yescharacteristic
301#418—24no—
302#418—42no—
303C2×#102C2311yescharacteristic
304C2×#102C2311yescharacteristic
305C2×#102C2311yescharacteristic
306C2×#102C2311yescharacteristic
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×C22⋊C8C2311yescharacteristic
332C2×C22⋊C8C2311yescharacteristic
333C2×C22⋊C8C2311yescharacteristic
334C2×C22⋊C8C2311yescharacteristic
335C2×C22⋊C8C2311yescharacteristic
336C2×C22⋊C8C2311yescharacteristic
337C2×C22⋊C8C2311yescharacteristic
338C2×C22⋊C8C2311yescharacteristic
339C2×#97C2311yescharacteristic
340C2×C4×C8C2311yescharacteristic
341#399—21no—
342#399—21no—
343#398—21no—
344#398—21no—
345#397—21no—
346#397—21no—
347#397—21no—
348#396—21no—
349#394—21no—
350#394—21no—
351#394—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#394—21no—
364#394—21no—
365#393—21no—
366#392—21no—
367#392—21no—
368#392—21no—
369#392—21no—
370#392—21no—
371#392—21no—
372#392—21no—
373#392—21no—
374#392—21no—
375#392—21no—
376#392—21no—
377#391—21no—
378#391—21no—
379#390—21no—
380#390—21no—
381#390—21no—
382#390—21no—
383#390—21no—
384#390—21no—
385#390—21no—
386#390—21no—
387#390—21no—
388#390—21no—
389#390—21no—
390#390—21no—
391#390—21no—
392#390—21no—
393#390—21no—
394#390—21no—
395#390—21no—
396#390C2311yescharacteristic
397#390C2311yescharacteristic
398#390C2311yescharacteristic
399#390C2311yescharacteristic
400#390C2311yescharacteristic
401#390C2311yescharacteristic
402#390C2311yescharacteristic
403#390C2311yescharacteristic
404#390C2311yescharacteristic
405#390C2311yescharacteristic
406#390C2311yescharacteristic
407#390C2311yescharacteristic
408#390C2311yescharacteristic
409#389C2311yescharacteristic
410#389C2311yescharacteristic
411#389C2311yescharacteristic
412#389C2311yescharacteristic
413#389C2311yescharacteristic
414#389C2311yescharacteristic
415#389C2311yescharacteristic
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#388—21no—
428#388—21no—
429#387—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#385—21no—
439#385—21no—
440#385—21no—
441#385—21no—
442#385—21no—
443#385—21no—
444#385—21no—
445#382C2311yescharacteristic
446#380C2311yescharacteristic
447#380C2311yescharacteristic
448#380C2311yescharacteristic
449#380C2311yescharacteristic
450#380C2311yescharacteristic
451#380C2311yescharacteristic
452#380C2311yescharacteristic
453#379—21no—
454#379—21no—
455#379—21no—
456#379—21no—
457C4×C4⋊C4C2311yescharacteristic
458C4×C4⋊C4C2311yescharacteristic
459C4×C4⋊C4C2311yescharacteristic
460C4×C4⋊C4C2311yescharacteristic
461C4×C4⋊C4C2311yescharacteristic
462C4×C22⋊C4—21no—
463C4×C22⋊C4—21no—
464C4×C22⋊C4—21no—
465#376—21no—
466C43—21no—
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#340C2311yescharacteristic
484#340C2311yescharacteristic
485#340C2311yescharacteristic
486#340C2311yescharacteristic
487#336C2311yescharacteristic
488#336C2311yescharacteristic
489#336C2311yescharacteristic
490#336C2311yescharacteristic
491#336C2311yescharacteristic
492#336C2311yescharacteristic
493#336C2311yescharacteristic
494#336C2311yescharacteristic
495#336C2311yescharacteristic
496#336C2311yescharacteristic
497#336C2311yescharacteristic
498#336C2311yescharacteristic
499C25—21no—
500C25—21no—
501C2×#41—44no—
502C2×#41—82no—
503C2×#41—82no—
504C22×Q8—21no—
505C22×Q8C2×D411yescharacteristic
506C22×D4—22no—
507C22×D4—22no—
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—21no—
523C22×D4—21no—
524C22×D4—21no—
525C22×D4—22no—
526C22×D4—22no—
527C22×D4—41no—
528C22×D4—41no—
529C22×D4—41no—
530C22×D4—41no—
531C22×D4—41no—
532C22×D4—41no—
533C22×D4—41no—
534C22×D4—41no—
535C22×D4—44no—
536C22×D4—82no—
537C22×D4—82no—
538C22×D4C2×D411yescharacteristic
539C22×D4C2×D411yescharacteristic
540C22×D4C2×D411yescharacteristic
541C22×D4C2411yescharacteristic
542C22×D4C2411yescharacteristic
543C22×D4C2411yescharacteristic
544C22×D4C2411yescharacteristic
545C22×D4C2411yescharacteristic
546C23×C4—21no—
547C23×C4—21no—
548C23×C4—21no—
549C23×C4—21no—
550C23×C4C2×D411yescharacteristic
551C23×C4C2×D411yescharacteristic
552C23×C4C2411yescharacteristic
553C23×C4C2411yescharacteristic
554C23×C4C2411yescharacteristic
555C2×D8—22no—
556C2×D8—22no—
557C2×D8—22no—
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—22no—
574C2×M16—22no—
575C2×M16—22no—
576C2×M16—22no—
577C2×M16—41no—
578C2×M16—41no—
579C2×M16—41no—
580C2×M16—41no—
581C2×M16—41no—
582C22×C8—41no—
583C22×C8—41no—
584C22×C8—41no—
585C22×C8C2411yescharacteristic
586C22×C8C2411yescharacteristic
587C22×C8C2411yescharacteristic
588C22×C8C2411yescharacteristic
589C22×C8C2411yescharacteristic
590C22×C8C2411yescharacteristic
591C22×C8C2411yescharacteristic
592C22×C8C2411yescharacteristic
593C4⋊Q8—41no—
594C4⋊Q8—41no—
595C4⋊Q8—82no—
596#127—41no—
597#127—41no—
598#127—41no—
599#127—41no—
600#127—82no—
601#126—42no—
602#126—42no—
603#125—42no—
604#124—42no—
605#124—44no—
606#124—82no—
607#124—82no—
608#124—82no—
609#123—42no—
610#123—42no—
611#123—82no—
612C22⋊Q8—42no—
613#121—22no—
614#121—22no—
615#121—22no—
616#121—22no—
617#121—22no—
618#121—22no—
619#121—22no—
620#121—22no—
621#121—22no—
622#121—22no—
623#121—22no—
624#121—41no—
625#121—41no—
626#121—41no—
627#121—41no—
628#121—41no—
629#121—41no—
630#121—41no—
631#121—44no—
632#121—42no—
633#121—44no—
634#121—41no—
635#121—41no—
636#121—41no—
637#121—41no—
638#121—82no—
639#120—44no—
640#120—44no—
641#120—82no—
642#120—82no—
643C4×Q8—41no—
644C4×Q8—41no—
645C4×D4—22no—
646C4×D4—22no—
647C4×D4—22no—
648C4×D4—22no—
649C4×D4—41no—
650C4×D4—41no—
651C4×D4—41no—
652C4×D4—41no—
653C4×D4—41no—
654C4×D4—41no—
655C4×D4—41no—
656C4×D4—41no—
657C4×D4—44no—
658#117—22no—
659#117—22no—
660#117—41no—
661#117—41no—
662#117—41no—
663#117—41no—
664#117—41no—
665#117—41no—
666#117—41no—
667#117—41no—
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⋊C4C2×D411yescharacteristic
683C2×C4⋊C4C2×D411yescharacteristic
684C2×C4⋊C4C2×D411yescharacteristic
685C2×C4⋊C4C2×D411yescharacteristic
686C2×C4⋊C4C2×D411yescharacteristic
687C2×C4⋊C4C2×D411yescharacteristic
688C2×C4⋊C4C2×D411yescharacteristic
689C2×C4⋊C4C2411yescharacteristic
690C2×C4⋊C4C2411yescharacteristic
691C2×C4⋊C4C2411yescharacteristic
692C2×C4⋊C4C2411yescharacteristic
693C2×C4⋊C4C2411yescharacteristic
694C2×C4⋊C4C2411yescharacteristic
695C2×C4⋊C4C2411yescharacteristic
696C2×C4⋊C4C2411yescharacteristic
697C2×C4⋊C4C2411yescharacteristic
698C2×C4⋊C4C2411yescharacteristic
699C2×C4⋊C4C2411yescharacteristic
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—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—82no—
751C2×C22⋊C4—82no—
752C2×C22⋊C4C2×D411yescharacteristic
753C2×C22⋊C4C2×D411yescharacteristic
754C2×C22⋊C4C2×D411yescharacteristic
755C2×C22⋊C4C2×D411yescharacteristic
756C2×C22⋊C4C2×D411yescharacteristic
757C2×C22⋊C4C2×D411yescharacteristic
758C2×C22⋊C4C2×D411yescharacteristic
759C2×C22⋊C4C2×D411yescharacteristic
760C2×C22⋊C4C2×D411yescharacteristic
761C2×C22⋊C4C2×D411yescharacteristic
762C2×C42—22no—
763C2×C42—22no—
764C2×C42—21no—
765C2×C42—21no—
766C2×C42—21no—
767C2×C42—21no—
768C2×C42—21no—
769C2×C42—21no—
770C2×C42—21no—
771C2×C42—21no—
772C2×C42C2×D411yescharacteristic
773C2×C42C2×D411yescharacteristic
774C2×C42C2411yescharacteristic
775C2×C42C2411yescharacteristic
776C2×C42C2411yescharacteristic
777C2×C42C2411yescharacteristic
778#107—22no—
779#107—41no—
780#107—41no—
781#107—41no—
782#106—22no—
783#106—22no—
784#106—22no—
785#106—41no—
786#106—41no—
787#106—41no—
788C4⋊C8—41no—
789C4⋊C8—41no—
790#102—22no—
791#102—22no—
792#102—22no—
793#102—22no—
794#102—22no—
795#102—22no—
796#102—22no—
797#102—22no—
798#102—41no—
799#102—41no—
800#102—41no—
801#102—41no—
802#102—41no—
803#102—41no—
804#102—41no—
805#102—41no—
806#102—41no—
807#102—41no—
808#102—41no—
809#102—41no—
810#102—41no—
811#102—41no—
812#102—41no—
813#102—41no—
814#102—41no—
815#102—41no—
816#102—41no—
817#102#4114yescomplemented
818C22⋊C8—22no—
819C22⋊C8—22no—
820C22⋊C8—22no—
821C22⋊C8—41no—
822C22⋊C8—41no—
823C22⋊C8—41no—
824C22⋊C8—41no—
825C22⋊C8—41no—
826#97—41no—
827C4×C8—41no—
828#95—21no—
829#95—21no—
830#95—21no—
831#95—21no—
832#95—21no—
833#95—21no—
834#95—21no—
835#95—21no—
836#95—21no—
837#95—21no—
838#95—21no—
839#95—21no—
840#95—21no—
841#95—21no—
842#95—21no—
843#95—21no—
844#95—21no—
845#95—21no—
846#95—21no—
847#95—21no—
848#95—21no—
849C24—21no—
850C24—21no—
851C24—21no—
852C24—21no—
853C24—21no—
854C24—42no—
855C24—42no—
856C24—42no—
857C24—42no—
858C24—42no—
859C24—42no—
860C24—81no—
861C24—81no—
862C24—81no—
863C24—81no—
864C24—81no—
865C24—81no—
866C24—81no—
867C24—81no—
868C24C22×D411yescharacteristic
869C24C22×D411yescharacteristic
870C24C22×D411yescharacteristic
871#41—816no—
872C2×Q8—22no—
873C2×Q8—41no—
874C2×Q8—41no—
875C2×Q8—42no—
876C2×Q8—42no—
877C2×Q8—42no—
878C2×D4—22no—
879C2×D4—22no—
880C2×D4—22no—
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—21no—
909C2×D4—21no—
910C2×D4—44no—
911C2×D4—44no—
912C2×D4—41no—
913C2×D4—41no—
914C2×D4—41no—
915C2×D4—41no—
916C2×D4—41no—
917C2×D4—41no—
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—42no—
937C2×D4—42no—
938C2×D4—42no—
939C2×D4—82no—
940C2×D4—82no—
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—82no—
950C2×D4—82no—
951C2×D4—82no—
952C2×D4—82no—
953C2×D4—81no—
954C2×D4—81no—
955C2×D4—81no—
956C2×D4—81no—
957C2×D4—81no—
958C2×D4—81no—
959C2×D4—81no—
960C2×D4—81no—
961C2×D4—81no—
962C2×D4—81no—
963C2×D4—81no—
964C2×D4—81no—
965C2×D4—81no—
966C2×D4—81no—
967C2×D4—81no—
968C2×D4—81no—
969C2×D4—81no—
970C2×D4—81no—
971C2×D4—81no—
972C2×D4—81no—
973C2×D4—81no—
974C2×D4—81no—
975C2×D4—816no—
976C2×D4C2×#4112yes—
977C22×C4—21no—
978C22×C4—21no—
979C22×C4—21no—
980C22×C4—21no—
981C22×C4—22no—
982C22×C4—21no—
983C22×C4—21no—
984C22×C4—22no—
985C22×C4—22no—
986C22×C4—21no—
987C22×C4—21no—
988C22×C4—21no—
989C22×C4—21no—
990C22×C4—21no—
991C22×C4—21no—
992C22×C4—21no—
993C22×C4—21no—
994C22×C4—21no—
995C22×C4—21no—
996C22×C4—21no—
997C22×C4—21no—
998C22×C4—21no—
999C22×C4—21no—
1000C22×C4—21no—
1001C22×C4—21no—
1002C22×C4—21no—
1003C22×C4—21no—
1004C22×C4—21no—
1005C22×C4—21no—
1006C22×C4—21no—
1007C22×C4—41no—
1008C22×C4—41no—
1009C22×C4—41no—
1010C22×C4—42no—
1011C22×C4—42no—
1012C22×C4—42no—
1013C22×C4—42no—
1014C22×C4—81no—
1015C22×C4—81no—
1016C22×C4—81no—
1017C22×C4—81no—
1018C22×C4—81no—
1019C22×C4—81no—
1020C22×C4—81no—
1021C22×C4—81no—
1022C22×C4C22×D411yescharacteristic
1023C22×C4C22×D411yescharacteristic
1024C22×C4C22×D411yescharacteristic
1025C22×C4C22×D411yescharacteristic
1026C22×C4C22×D411yescharacteristic
1027C22×C4C22×D411yescharacteristic
1028C22×C4C22×D411yescharacteristic
1029C22×C4C22×D411yescharacteristic
1030C22×C4C22×D411yescharacteristic
1031C22×C4C22×D411yescharacteristic
1032C22×C4C22×D411yescharacteristic
1033C22×C4H(5,𝔽2)12yes—
1034C22×C4H(5,𝔽2)12yes—
1035C22×C4C2511yescharacteristic
1036D8—82no—
1037D8—82no—
1038D8—82no—
1039D8—82no—
1040D8—82no—
1041D8—82no—
1042M16—44no—
1043M16—82no—
1044M16—82no—
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—21no—
1061C2×C8—21no—
1062C2×C8—21no—
1063C2×C8—21no—
1064C2×C8—21no—
1065C2×C8—21no—
1066C2×C8—21no—
1067C2×C8—21no—
1068C2×C8—82no—
1069C2×C8C2×#4112yes—
1070C4⋊C4—22no—
1071C4⋊C4—22no—
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—21no—
1086C4⋊C4—21no—
1087C4⋊C4—21no—
1088C4⋊C4—21no—
1089C4⋊C4—21no—
1090C4⋊C4—21no—
1091C4⋊C4—21no—
1092C4⋊C4—41no—
1093C4⋊C4—41no—
1094C4⋊C4—41no—
1095C4⋊C4—41no—
1096C4⋊C4—41no—
1097C4⋊C4—41no—
1098C4⋊C4—41no—
1099C4⋊C4—41no—
1100C4⋊C4—42no—
1101C4⋊C4—81no—
1102C4⋊C4—81no—
1103C4⋊C4—81no—
1104C4⋊C4—81no—
1105C4⋊C4—81no—
1106C4⋊C4—81no—
1107C4⋊C4—81no—
1108C4⋊C4—81no—
1109C4⋊C4C2×#4112yes—
1110C4⋊C4H(5,𝔽2)12yes—
1111C22⋊C4—22no—
1112C22⋊C4—22no—
1113C22⋊C4—22no—
1114C22⋊C4—22no—
1115C22⋊C4—41no—
1116C22⋊C4—41no—
1117C22⋊C4—41no—
1118C22⋊C4—41no—
1119C22⋊C4—41no—
1120C22⋊C4—41no—
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—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—
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⋊C4—81no—
1158C22⋊C4—81no—
1159C22⋊C4—81no—
1160C22⋊C4—81no—
1161C22⋊C4—81no—
1162C22⋊C4—81no—
1163C22⋊C4—81no—
1164C22⋊C4—81no—
1165C22⋊C4—81no—
1166C22⋊C4—81no—
1167C22⋊C4—81no—
1168C22⋊C4—81no—
1169C22⋊C4—81no—
1170C22⋊C4—81no—
1171C42—22no—
1172C42—22no—
1173C42—21no—
1174C42—21no—
1175C42—21no—
1176C42—21no—
1177C42—21no—
1178C42—21no—
1179C42—21no—
1180C42—21no—
1181C42—42no—
1182C42—42no—
1183C42—42no—
1184C42—42no—
1185C42—81no—
1186C42—81no—
1187C42—81no—
1188C42—81no—
1189C23—21no—
1190C23—21no—
1191C23—21no—
1192C23—21no—
1193C23—21no—
1194C23—21no—
1195C23—21no—
1196C23—21no—
1197C23—21no—
1198C23—21no—
1199C23—21no—
1200C23—21no—
1201C23—21no—
1202C23—21no—
1203C23—22no—
1204C23—21no—
1205C23—21no—
1206C23—21no—
1207C23—21no—
1208C23—21no—
1209C23—21no—
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—41no—
1226C23—41no—
1227C23—41no—
1228C23—41no—
1229C23—41no—
1230C23—41no—
1231C23—41no—
1232C23—41no—
1233C23—41no—
1234C23—41no—
1235C23—41no—
1236C23—41no—
1237C23—41no—
1238C23—41no—
1239C23—41no—
1240C23—41no—
1241C23—41no—
1242C23—41no—
1243C23—41no—
1244C23—84no—
1245C23—84no—
1246C23—84no—
1247C23—84no—
1248C23—84no—
1249C23—84no—
1250C23—162no—
1251C23—162no—
1252C23—162no—
1253C23—162no—
1254C23—162no—
1255C23—162no—
1256C23—162no—
1257C23—162no—
1258C23#53412yes—
1259C23C23×D411yescharacteristic
1260Q8—82no—
1261Q8—84no—
1262D4—22no—
1263D4—22no—
1264D4—44no—
1265D4—41no—
1266D4—41no—
1267D4—41no—
1268D4—41no—
1269D4—41no—
1270D4—41no—
1271D4—41no—
1272D4—41no—
1273D4—41no—
1274D4—41no—
1275D4—41no—
1276D4—41no—
1277D4—41no—
1278D4—41no—
1279D4—41no—
1280D4—41no—
1281D4—41no—
1282D4—41no—
1283D4—82no—
1284D4—84no—
1285D4—84no—
1286D4—82no—
1287D4—84no—
1288D4—84no—
1289D4—84no—
1290D4—84no—
1291D4—84no—
1292D4—84no—
1293D4—84no—
1294D4—162no—
1295D4—162no—
1296D4—162no—
1297D4—162no—
1298D4—162no—
1299D4—162no—
1300D4—162no—
1301D4—162no—
1302C2×C4—21no—
1303C2×C4—21no—
1304C2×C4—21no—
1305C2×C4—21no—
1306C2×C4—22no—
1307C2×C4—22no—
1308C2×C4—22no—
1309C2×C4—22no—
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—21no—
1324C2×C4—21no—
1325C2×C4—21no—
1326C2×C4—21no—
1327C2×C4—21no—
1328C2×C4—21no—
1329C2×C4—21no—
1330C2×C4—22no—
1331C2×C4—21no—
1332C2×C4—21no—
1333C2×C4—22no—
1334C2×C4—21no—
1335C2×C4—21no—
1336C2×C4—21no—
1337C2×C4—21no—
1338C2×C4—21no—
1339C2×C4—44no—
1340C2×C4—41no—
1341C2×C4—41no—
1342C2×C4—41no—
1343C2×C4—41no—
1344C2×C4—41no—
1345C2×C4—41no—
1346C2×C4—41no—
1347C2×C4—41no—
1348C2×C4—41no—
1349C2×C4—41no—
1350C2×C4—41no—
1351C2×C4—41no—
1352C2×C4—41no—
1353C2×C4—41no—
1354C2×C4—41no—
1355C2×C4—41no—
1356C2×C4—41no—
1357C2×C4—41no—
1358C2×C4—41no—
1359C2×C4—41no—
1360C2×C4—41no—
1361C2×C4—41no—
1362C2×C4—41no—
1363C2×C4—41no—
1364C2×C4—41no—
1365C2×C4—41no—
1366C2×C4—41no—
1367C2×C4—41no—
1368C2×C4—41no—
1369C2×C4—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—82no—
1380C2×C4—84no—
1381C2×C4—84no—
1382C2×C4—84no—
1383C2×C4—162no—
1384C2×C4#53412yes—
1385C2×C4#57612yes—
1386C2×C4C22×#4111yescharacteristic
1387C2×C4C2×H(5,𝔽2)11yescharacteristic
1388C2×C4C2×H(5,𝔽2)11yescharacteristic
1389C2×C4C2×H(5,𝔽2)11yescharacteristic
1390C2×C4#58511yescharacteristic
1391C2×C4#58511yescharacteristic
1392C8—22no—
1393C8—41no—
1394C8—41no—
1395C8—41no—
1396C8—41no—
1397C8—41no—
1398C8—41no—
1399C8—41no—
1400C22—22no—
1401C22—22no—
1402C22—22no—
1403C22—41no—
1404C22—41no—
1405C22—41no—
1406C22—41no—
1407C22—41no—
1408C22—41no—
1409C22—42no—
1410C22—41no—
1411C22—41no—
1412C22—41no—
1413C22—41no—
1414C22—41no—
1415C22—41no—
1416C22—41no—
1417C22—42no—
1418C22—41no—
1419C22—41no—
1420C22—41no—
1421C22—41no—
1422C22—41no—
1423C22—42no—
1424C22—81no—
1425C22—81no—
1426C22—81no—
1427C22—81no—
1428C22—81no—
1429C22—81no—
1430C22—81no—
1431C22—81no—
1432C22—81no—
1433C22—81no—
1434C22—81no—
1435C22—81no—
1436C22—81no—
1437C22—81no—
1438C22—81no—
1439C22—81no—
1440C22—81no—
1441C22—81no—
1442C22—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—168no—
1458C22C2×#53411yescharacteristic
1459C22D4×#4111yescharacteristic
1460C22#348811yescharacteristic
1461C22C2×#57611yescharacteristic
1462C22#358511yescharacteristic
1463C22#358511yescharacteristic
1464C22#358511yescharacteristic
1465C4—22no—
1466C4—22no—
1467C4—42no—
1468C4—41no—
1469C4—41no—
1470C4—41no—
1471C4—41no—
1472C4—41no—
1473C4—41no—
1474C4—41no—
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#349411yescharacteristic
1488C4#351911yescharacteristic
1489C4#355811yescharacteristic
1490C4#356011yescharacteristic
1491C2—42no—
1492C2—81no—
1493C2—81no—
1494C2—82no—
1495C2—161no—
1496C2—161no—
1497C2—161no—
1498C2—161no—
1499C2#3836811yescharacteristic
1500C2#6075311yescharacteristic
1501C2#6075611yescharacteristic
1502C2#6150511yescharacteristic
1503C2#6155511yescharacteristic
1504C2#6203711yescharacteristic
1505C2#6208811yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ C2×#529 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #38026C2semidirect
2. #35191C2semidirect
3. #33097C2semidirect
4. #32668C2semidirect
5. #32646C2semidirect
6. #32613C2semidirect
7. #32577C2semidirect
8. #31345C2semidirect
9. #31260C2semidirect
10. #30714C2semidirect
11. #30509C2semidirect
12. #30118C2semidirect
13. #30030C2semidirect
14. #29469C2semidirect
15. #29418C2semidirect
16. #28584C2semidirect
17. #28557C2semidirect
18. #28126C2semidirect
19. #26228C2semidirect
20. #26152C2semidirect
21. #25502C2semidirect
22. #25132C2semidirect
23. #25116C2semidirect
24. #24792C2semidirect
25. #24440C2semidirect
26. #24440C2semidirect
27. #23930C2semidirect
28. #22472C2semidirect
29. #22199C2semidirect
30. #22056C2semidirect
31. #21060C2semidirect
33. C2×#532C22semidirect
35. C2×#482C22semidirect
39. C2×#469C22semidirect
40. C2×#466C22semidirect
45. C2×#436C22semidirect
46. C2×#435C22semidirect
47. C2×#428C22semidirect
65. #2548C22semidirect
66. #2547C22semidirect
67. #2546C22semidirect
68. #2541C22semidirect
77. #2414C22semidirect
78. #2414C22semidirect
85. #2324C22semidirect
86. #2324C22semidirect
87. #2324C22semidirect
88. #2324C22semidirect
91. C4×#117C22semidirect
92. #2101C22semidirect
93. #2092C22semidirect
94. #2088C22semidirect
95. #2085C22semidirect
96. #2077C22semidirect
97. #2075C22semidirect
98. #2075C22semidirect
99. #2073C22semidirect
101. #2067C22semidirect
102. #2065C22semidirect
103. #2065C22semidirect
104. #2058C22semidirect
106. #2054C22semidirect
107. #2054C22semidirect
110. #2041C22semidirect
113. #2034C22semidirect
114. #2034C22semidirect
115. #2034C22semidirect
116. #2034C22semidirect
118. #2033C22semidirect
120. #2023C22semidirect
121. #2023C22semidirect
125. #2011C22semidirect
126. #2011C22semidirect
130. #1999C22semidirect
131. #1999C22semidirect
132. #1985C22semidirect
133. #1984C22semidirect
135. #1970C22semidirect
136. #1970C22semidirect
137. #1941C22semidirect
138. #1936C22semidirect
139. #1936C22semidirect
140. #1936C22semidirect
144. #1926C22semidirect
145. #1926C22semidirect
146. #1926C22semidirect
147. #1926C22semidirect
150. #1925C22semidirect
151. #1925C22semidirect
152. #1925C22semidirect
153. #1925C22semidirect
154. #1925C22semidirect
155. #1925C22semidirect
156. #1921C22semidirect
157. #1920C22semidirect
158. #1919C22semidirect
159. #1919C22semidirect
160. #1919C22semidirect
161. #1918C22semidirect
162. #1895C22semidirect
163. #1895C22semidirect
164. #1895C22semidirect
166. #1893C22semidirect
167. #1893C22semidirect
172. #1879C22semidirect
173. #1879C22semidirect
174. #1879C22semidirect
175. #1879C22semidirect
178. #1875C22semidirect
179. #1874C22semidirect
180. #1874C22semidirect
183. #1870C22semidirect
184. #1869C22semidirect
187. #1864C22semidirect
188. #1864C22semidirect
189. #1854C22semidirect
190. #1854C22semidirect
191. #1854C22semidirect
192. #1825C22semidirect
193. #1818C22semidirect
194. #1817C22semidirect
195. #1809C22semidirect
196. #1798C22semidirect
199. #1750C22semidirect
200. #1736C22semidirect
201. #1729C22semidirect
202. #1728C22semidirect
817. #102#41semidirect

Maximal subgroups

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

subgroupindex
#380262
#351912
#330972
#326682
#326462
#326132
#325772
#313452
#312602
#307142
#305092
#301182
#300302
#294692
#294182
#285842
#285572
#281262
#262282
#261522
#255022
#251322
#251162
#247922
#244402
#239302
#224722
#221992
#220562
#210602