Finite Group Databasebeta

← #7303166

Subgroups — #7303166

Order 512.

1809 conjugacy classes of subgroups.

The subgroup lattice has 1510 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#45064C211yesmaximal, characteristic, complemented
2#42673C211yesmaximal, characteristic, complemented
3#31726C211yesmaximal, characteristic, complemented
4#31721C211yesmaximal, characteristic, complemented
5#30747C211yesmaximal, characteristic, complemented
6#30747C211yesmaximal, characteristic, complemented
7#30720C211yesmaximal, characteristic, complemented
8#30702C211yesmaximal, characteristic, complemented
9#30611C211yesmaximal, characteristic, complemented
10#30591C211yesmaximal, characteristic, complemented
11#30515C211yesmaximal, characteristic, complemented
12#30505C211yesmaximal, characteristic, complemented
13#30455C211yesmaximal, characteristic, complemented
14#30455C211yesmaximal, characteristic, complemented
15#30124C211yesmaximal, characteristic, complemented
16#29673C211yesmaximal, characteristic, complemented
17#28130C211yesmaximal, characteristic, complemented
18#26700C211yesmaximal, characteristic, complemented
19#26696C211yesmaximal, characteristic, complemented
20#26668C211yesmaximal, characteristic, complemented
21#26657C211yesmaximal, characteristic, complemented
22#25762C211yesmaximal, characteristic, complemented
23#25762C211yesmaximal, characteristic, complemented
24#25094C211yesmaximal, characteristic, complemented
25#25083C211yesmaximal, characteristic, complemented
26#24444C211yesmaximal, characteristic, complemented
27#24428C211yesmaximal, characteristic, complemented
28#23978C211yesmaximal, characteristic, complemented
29#23971C211yesmaximal, characteristic, complemented
30#23939C211yesmaximal, characteristic, complemented
31#23328C211yesmaximal, characteristic, complemented
32C2×#552C2211yescharacteristic, complemented
33C2×#546C2211yescharacteristic
34C2×#546C2211yescharacteristic
35C2×#540C2211yescharacteristic
36C2×#495C2211yescharacteristic
37C2×#495C2211yescharacteristic
38C2×#485C2211yescharacteristic
39C2×#469C2211yescharacteristic
40C2×#468C2211yescharacteristic, complemented
41C2×#466C2211yescharacteristic
42C2×#465C2211yescharacteristic, complemented
43C2×#463C2211yescharacteristic
44C2×#463C2211yescharacteristic
45C2×#461C2211yescharacteristic, complemented
46C2×#461C2211yescharacteristic, complemented
47C2×#452C2211yescharacteristic
48C2×#452C2211yescharacteristic
49C2×#449C2211yescharacteristic
50C2×#449C2211yescharacteristic
51C2×#449C2211yescharacteristic
52C2×#449C2211yescharacteristic
53C2×#450C2211yescharacteristic
54C2×#447C2211yescharacteristic
55C2×#447C2211yescharacteristic
56C2×#417C2211yescharacteristic
57C2×#416C2211yescharacteristic
58#2812—21no—
59#2724—21no—
60#2714—21no—
61#2705—21no—
62#2701—21no—
63#2701—21no—
64#2699—21no—
65#2694—21no—
66#2673—21no—
67#2622—21no—
68#2622—21no—
69#2621C2211yescharacteristic
70#2548C2211yescharacteristic, complemented
71#2541C2211yescharacteristic, complemented
72#2540C2211yescharacteristic
73#2540C2211yescharacteristic
74#2490—21no—
75#2483—21no—
76#2471—21no—
77#2447C2211yescharacteristic
78#2447C2211yescharacteristic
79#2445—21no—
80#2432C2211yescharacteristic
81#2432C2211yescharacteristic
82#2427C2211yescharacteristic, complemented
83#2427C2211yescharacteristic, complemented
84#2420C2211yescharacteristic
85#2420C2211yescharacteristic
86#2416C2211yescharacteristic
87#2415C2211yescharacteristic
88#2415C2211yescharacteristic
89#2414—21no—
90#2414C2211yescharacteristic
91#2407C2211yescharacteristic
92#2407C2211yescharacteristic
93#2392C2211yescharacteristic
94#2370C2211yescharacteristic, complemented
95#2363C2211yescharacteristic, complemented
96#2361C2211yescharacteristic, complemented
97#2323C2211yescharacteristic
98#2309C2211yescharacteristic
99#2101C2211yescharacteristic, complemented
100#2097C2211yescharacteristic, complemented
101#2088C2211yescharacteristic, complemented
102#2086C2211yescharacteristic, complemented
103#2067C2211yescharacteristic
104#2065C2211yescharacteristic
105#2055C2211yescharacteristic
106#2055C2211yescharacteristic
107#2055C2211yescharacteristic, complemented
108#2055C2211yescharacteristic, complemented
109#2043C2211yescharacteristic, complemented
110#2042C2211yescharacteristic
111#2042C2211yescharacteristic
112#2042C2211yescharacteristic, complemented
113#2042C2211yescharacteristic, complemented
114#2036C2211yescharacteristic
115#2035C2211yescharacteristic
116#2034C2211yescharacteristic, complemented
117#2034C2211yescharacteristic, complemented
118#2033C2211yescharacteristic, complemented
119#2033C2211yescharacteristic, complemented
120#2026C2211yescharacteristic, complemented
121#2026C2211yescharacteristic, complemented
122#2025C2211yescharacteristic
123#2025C2211yescharacteristic
124#2016C2211yescharacteristic, complemented
125#2015C2211yescharacteristic, complemented
126#2015C2211yescharacteristic, complemented
127#2014C2211yescharacteristic, complemented
128#2014C2211yescharacteristic, complemented
129#2012C2211yescharacteristic
130#2012C2211yescharacteristic
131#2011C2211yescharacteristic
132#2011C2211yescharacteristic
133#2001C2211yescharacteristic
134#2001C2211yescharacteristic
135#2001C2211yescharacteristic, complemented
136#2001C2211yescharacteristic, complemented
137#2000C2211yescharacteristic
138#2000C2211yescharacteristic
139#2000C2211yescharacteristic
140#2000C2211yescharacteristic
141#2000C2211yescharacteristic
142#2000C2211yescharacteristic
143#2000C2211yescharacteristic, complemented
144#2000C2211yescharacteristic, complemented
145#1999C2211yescharacteristic
146#1999C2211yescharacteristic
147#1983C2211yescharacteristic
148#1983C2211yescharacteristic
149#1954C2211yescharacteristic
150#1954C2211yescharacteristic
151#1934C2211yescharacteristic, complemented
152#1934C2211yescharacteristic, complemented
153#1933C2211yescharacteristic, complemented
154#1933C2211yescharacteristic, complemented
155#1928C2211yescharacteristic, complemented
156#1928C2211yescharacteristic, complemented
157#1927C2211yescharacteristic, complemented
158#1927C2211yescharacteristic, complemented
159#1926C2211yescharacteristic
160#1925C2211yescharacteristic
161#1923C2211yescharacteristic, complemented
162#1923C2211yescharacteristic, complemented
163#1921C2211yescharacteristic, complemented
164#1920C2211yescharacteristic, complemented
165#1916C2211yescharacteristic, complemented
166#1916C2211yescharacteristic, complemented
167#1894C2211yescharacteristic, complemented
168#1892C2211yescharacteristic, complemented
169#1880C2211yescharacteristic
170#1880C2211yescharacteristic
171#1879C2211yescharacteristic
172#1879C2211yescharacteristic
173#1879C2211yescharacteristic
174#1879C2211yescharacteristic
175#1879C2211yescharacteristic
176#1879C2211yescharacteristic
177#1878C2211yescharacteristic, complemented
178#1878C2211yescharacteristic, complemented
179#1875C2211yescharacteristic
180#1875C2211yescharacteristic
181#1875C2211yescharacteristic
182#1874C2211yescharacteristic
183#1873C2211yescharacteristic, complemented
184#1872C2211yescharacteristic, complemented
185#1870C2211yescharacteristic
186#1870C2211yescharacteristic, complemented
187#1869C2211yescharacteristic
188#1869C2211yescharacteristic, complemented
189#1864C2211yescharacteristic
190#1862C2211yescharacteristic
191#1851C2211yescharacteristic, complemented
192#1850C2211yescharacteristic, complemented
193#1825C2211yescharacteristic
194#1825C2211yescharacteristic, complemented
195#1824C2211yescharacteristic, complemented
196#1818C2211yescharacteristic
197#1804C2211yescharacteristic, complemented
198#1804C2211yescharacteristic, complemented
199#1798C2211yescharacteristic
200#1786C2211yescharacteristic
201C4×#102C2211yescharacteristic
202C4×#102C2211yescharacteristic
203C22×#41C2311yescharacteristic
204C22×#41C2311yescharacteristic
205C23×D4C2311yescharacteristic
206C22×Q16C2311yescharacteristic
207C22×Q16C2311yescharacteristic
208C22×SD16C2311yescharacteristic
209C22×SD16C2311yescharacteristic
210C22×SD16C2311yescharacteristic
211C22×SD16C2311yescharacteristic
212C22×SD16C2311yescharacteristic
213C22×SD16C2311yescharacteristic
214C22×D8C2311yescharacteristic
215C22×D8C2311yescharacteristic
216C22×D8C2311yescharacteristic
217C22×D8C2311yescharacteristic
218C22×M16C2311yescharacteristic
219C23×C8C2311yescharacteristic
220#552—42no—
221#552—42no—
222#546—42no—
223#546—42no—
224#546—42no—
225#546—42no—
226#540—42no—
227#540—42no—
228C2×C4⋊Q8C2311yescharacteristic
229C2×#127—21no—
230C2×#127C2311yescharacteristic
231C2×#126—21no—
232C2×#125—21no—
233C2×#125C2311yescharacteristic
234C2×#124C2311yescharacteristic
235C2×#124C2311yescharacteristic
236C2×#124C2311yescharacteristic
237C2×#124C2311yescharacteristic
238C2×#123—21no—
239C2×#123—21no—
240C2×#123—21no—
241C2×#123—21no—
242C2×#123—21no—
243C2×C22⋊Q8C2311yescharacteristic
244C2×C22⋊Q8C2311yescharacteristic
245C2×C22⋊Q8C2311yescharacteristic
246C2×C22⋊Q8C2311yescharacteristic
247C2×C22⋊Q8C2311yescharacteristic
248C2×C22⋊Q8C2311yescharacteristic
249C2×C22⋊Q8C2311yescharacteristic
250C2×#121—21no—
251C2×#121—21no—
252C2×#121—21no—
253C2×#121—21no—
254C2×#121—21no—
255C2×#121C2311yescharacteristic
256C2×#121C2311yescharacteristic
257C2×#121C2311yescharacteristic
258C2×#121C2311yescharacteristic
259C2×#121C2311yescharacteristic
260C2×#121C2311yescharacteristic
261C2×#121C2311yescharacteristic
262C2×#121C2311yescharacteristic
263C2×#120—21no—
264C2×#120—21no—
265C2×C4×Q8C2311yescharacteristic
266C2×C4×D4—21no—
267C2×C4×D4C2311yescharacteristic
268C2×C4×D4C2311yescharacteristic
269C2×C4×D4C2311yescharacteristic
270C2×C4×D4C2311yescharacteristic
271C2×C4×D4C2311yescharacteristic
272C2×C4×D4C2311yescharacteristic
273C2×C4×D4C2311yescharacteristic
274C2×#117—21no—
275C2×#117C2311yescharacteristic
276C2×#117C2311yescharacteristic
277C2×#117C2311yescharacteristic
278C22×C4⋊C4C2311yescharacteristic
279C22×C22⋊C4—21no—
280C22×C22⋊C4—21no—
281#495—42no—
282#495—42no—
283#485—42no—
284#469—42no—
285#468—42no—
286#466—42no—
287#465—42no—
288#463—42no—
289#463—42no—
290#461—42no—
291#461—42no—
292#452—42no—
293#452—42no—
294#450—42no—
295#449—42no—
296#449—42no—
297#449—42no—
298#449—42no—
299#447—42no—
300#447—42no—
301C2×#107C2311yescharacteristic
302C2×#107C2311yescharacteristic
303C2×#106C2311yescharacteristic
304C2×#106C2311yescharacteristic
305C2×C4⋊C8C2311yescharacteristic
306C2×C4⋊C8C2311yescharacteristic
307C2×C4⋊C8C2311yescharacteristic
308C2×C4⋊C8C2311yescharacteristic
309#417—42no—
310#416—42no—
311C2×#103C2311yescharacteristic
312C2×#103C2311yescharacteristic
313C2×#103C2311yescharacteristic
314C2×#103C2311yescharacteristic
315C2×#103C2311yescharacteristic
316C2×#103C2311yescharacteristic
317C2×#103C2311yescharacteristic
318C2×#103C2311yescharacteristic
319C2×#103C2311yescharacteristic
320C2×#103C2311yescharacteristic
321C2×#103C2311yescharacteristic
322C2×#103C2311yescharacteristic
323C2×#103C2311yescharacteristic
324C2×#103C2311yescharacteristic
325C2×#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×#102C2311yescharacteristic
339C2×#102C2311yescharacteristic
340C2×#102C2311yescharacteristic
341C2×#102C2311yescharacteristic
342C2×#102C2311yescharacteristic
343C2×C22⋊C8C2311yescharacteristic
344C2×C22⋊C8C2311yescharacteristic
345C2×C22⋊C8C2311yescharacteristic
346C2×C22⋊C8C2311yescharacteristic
347C2×C22⋊C8C2311yescharacteristic
348C2×C22⋊C8C2311yescharacteristic
349C2×C22⋊C8C2311yescharacteristic
350C2×C22⋊C8C2311yescharacteristic
351C2×C22⋊C8C2311yescharacteristic
352C2×C22⋊C8C2311yescharacteristic
353C2×C4×C8C2311yescharacteristic
354C2×C4×C8C2311yescharacteristic
355#399—21no—
356#399—21no—
357#398—21no—
358#398—21no—
359#398D411yescharacteristic
360#397—21no—
361#397—21no—
362#397—21no—
363#397—21no—
364#397—21no—
365#397—21no—
366#397—21no—
367#397—21no—
368#397—21no—
369#397—21no—
370#397—21no—
371#397—21no—
372#397D411yescharacteristic
373#396—21no—
374#396D411yescharacteristic
375#396D411yescharacteristic
376#394—21no—
377#394—21no—
378#394—21no—
379#394—21no—
380#394—21no—
381#394—21no—
382#394—21no—
383#394—21no—
384#394—21no—
385#394—21no—
386#394—21no—
387#394—21no—
388#394—21no—
389#394—21no—
390#394—21no—
391#394—21no—
392#394D411yescharacteristic
393#394D411yescharacteristic
394#394D411yescharacteristic
395#392—21no—
396#392—21no—
397#392—21no—
398#392—21no—
399#392—21no—
400#392—21no—
401#392—21no—
402#392D411yescharacteristic
403#391C2311yescharacteristic
404#391C2311yescharacteristic
405#391C2311yescharacteristic
406#391C2311yescharacteristic
407#391C2311yescharacteristic
408#390—21no—
409#390—21no—
410#390—21no—
411#390—21no—
412#390—21no—
413#390—21no—
414#390—21no—
415#390—21no—
416#390—21no—
417#390—21no—
418#390—21no—
419#390C2311yescharacteristic
420#390C2311yescharacteristic
421#390C2311yescharacteristic
422#390C2311yescharacteristic
423#390C2311yescharacteristic
424#390C2311yescharacteristic
425#389—21no—
426#389—21no—
427#389—21no—
428#389—21no—
429#389C2311yescharacteristic
430#389C2311yescharacteristic
431#389C2311yescharacteristic
432#389C2311yescharacteristic
433#389C2311yescharacteristic
434#388—21no—
435#388—21no—
436#388—21no—
437#388—21no—
438#388—21no—
439#388—21no—
440#388—21no—
441#387—21no—
442#387—21no—
443#387—21no—
444#386—21no—
445#386—21no—
446#386—21no—
447#386—21no—
448#386—21no—
449#386—21no—
450#386—21no—
451#386—21no—
452#386—21no—
453#385—21no—
454#385—21no—
455#385—21no—
456#385—21no—
457#385—21no—
458#385—21no—
459#385—21no—
460#385—21no—
461#385—21no—
462#382C2311yescharacteristic
463#381—21no—
464#381—21no—
465#381—21no—
466#381—21no—
467#380—21no—
468#380—21no—
469#380C2311yescharacteristic
470#380C2311yescharacteristic
471#380C2311yescharacteristic
472#379—21no—
473#379—21no—
474C4×C4⋊C4—21no—
475C4×C4⋊C4C2311yescharacteristic
476C4×C4⋊C4C2311yescharacteristic
477C4×C4⋊C4C2311yescharacteristic
478C4×C4⋊C4C2311yescharacteristic
479C4×C22⋊C4—21no—
480C4×C22⋊C4C2311yescharacteristic
481C4×C22⋊C4C2311yescharacteristic
482#340C2311yescharacteristic
483#340C2311yescharacteristic
484#340C2311yescharacteristic
485#340C2311yescharacteristic
486#340C2311yescharacteristic
487#340C2311yescharacteristic
488#340C2311yescharacteristic
489#340C2311yescharacteristic
490#340C2311yescharacteristic
491#340C2311yescharacteristic
492#340C2311yescharacteristic
493#340C2311yescharacteristic
494#340C2311yescharacteristic
495#340C2311yescharacteristic
496#340C2311yescharacteristic
497#340C2311yescharacteristic
498#336C2311yescharacteristic
499#336C2311yescharacteristic
500#336C2311yescharacteristic
501#336C2311yescharacteristic
502#336C2311yescharacteristic
503#336C2311yescharacteristic
504#336C2311yescharacteristic
505#336C2311yescharacteristic
506#336C2311yescharacteristic
507#336C2311yescharacteristic
508C25—21no—
509C2×#41—22no—
510C2×#41—22no—
511C2×#41—41no—
512C2×#41—41no—
513C2×#41—41no—
514C2×#41—41no—
515C2×#41—41no—
516C2×#41—41no—
517C2×#41—41no—
518C2×#41—41no—
519C2×#41—41no—
520C2×#41—41no—
521C22×Q8C2411yescharacteristic
522C22×Q8C2411yescharacteristic
523C22×Q8C2411yescharacteristic
524C22×D4—22no—
525C22×D4—22no—
526C22×D4—21no—
527C22×D4—21no—
528C22×D4—21no—
529C22×D4—21no—
530C22×D4—21no—
531C22×D4—21no—
532C22×D4—21no—
533C22×D4—21no—
534C22×D4—21no—
535C22×D4—21no—
536C22×D4—21no—
537C22×D4—21no—
538C22×D4—21no—
539C22×D4—41no—
540C22×D4—41no—
541C22×D4—41no—
542C22×D4—41no—
543C22×D4C2×D411yescharacteristic
544C22×D4C2×D411yescharacteristic
545C22×D4C2×D411yescharacteristic
546C22×D4C2411yescharacteristic
547C22×D4C2411yescharacteristic
548C22×D4C2411yescharacteristic
549C22×D4C2411yescharacteristic
550C23×C4—21no—
551C23×C4—21no—
552C23×C4—21no—
553C23×C4—21no—
554C23×C4—21no—
555C23×C4—21no—
556C23×C4—21no—
557C23×C4C2411yescharacteristic
558C23×C4C2411yescharacteristic
559C23×C4C2411yescharacteristic
560C2×Q16—41no—
561C2×Q16—41no—
562C2×Q16—41no—
563C2×Q16—41no—
564C2×Q16—41no—
565C2×Q16—41no—
566C2×SD16—22no—
567C2×SD16—22no—
568C2×SD16—41no—
569C2×SD16—41no—
570C2×SD16—41no—
571C2×SD16—41no—
572C2×SD16—41no—
573C2×SD16—41no—
574C2×SD16—41no—
575C2×SD16—41no—
576C2×SD16—41no—
577C2×SD16—41no—
578C2×SD16—41no—
579C2×SD16—41no—
580C2×SD16—41no—
581C2×SD16—41no—
582C2×SD16—41no—
583C2×SD16—41no—
584C2×D8—22no—
585C2×D8—22no—
586C2×D8—22no—
587C2×D8—22no—
588C2×D8—41no—
589C2×D8—41no—
590C2×D8—41no—
591C2×D8—41no—
592C2×D8—41no—
593C2×D8—41no—
594C2×D8—41no—
595C2×D8—41no—
596C2×M16—41no—
597C2×M16—41no—
598C2×M16—41no—
599C22×C8—41no—
600C22×C8—41no—
601C22×C8—41no—
602C22×C8C2411yescharacteristic
603C22×C8C2411yescharacteristic
604C22×C8C2411yescharacteristic
605C22×C8C2411yescharacteristic
606C22×C8C2411yescharacteristic
607C22×C8C2411yescharacteristic
608C22×C8C2411yescharacteristic
609C22×C8C2411yescharacteristic
610C4⋊Q8—41no—
611C4⋊Q8—41no—
612#127—41no—
613#127—41no—
614#127—82no—
615#126—44no—
616#125—22no—
617#125—22no—
618#125—44no—
619#124—22no—
620#124—22no—
621#124—41no—
622#124—41no—
623#124—41no—
624#124—41no—
625#124—41no—
626#124—41no—
627#123—44no—
628#123—44no—
629#123—44no—
630#123—44no—
631#123—44no—
632C22⋊Q8—22no—
633C22⋊Q8—22no—
634C22⋊Q8—22no—
635C22⋊Q8—41no—
636C22⋊Q8—41no—
637C22⋊Q8—41no—
638C22⋊Q8—41no—
639C22⋊Q8—41no—
640C22⋊Q8—41no—
641C22⋊Q8—41no—
642C22⋊Q8—41no—
643C22⋊Q8—41no—
644C22⋊Q8—41no—
645C22⋊Q8—41no—
646#121—22no—
647#121—22no—
648#121—22no—
649#121—22no—
650#121—22no—
651#121—22no—
652#121—41no—
653#121—41no—
654#121—41no—
655#121—41no—
656#121—41no—
657#121—41no—
658#121—44no—
659#121—44no—
660#121—44no—
661#121—44no—
662#121—41no—
663#121—41no—
664#121—41no—
665#121—41no—
666#121—82no—
667#120—44no—
668#120—44no—
669C4×Q8—41no—
670C4×Q8—41no—
671C4×D4—22no—
672C4×D4—22no—
673C4×D4—22no—
674C4×D4—22no—
675C4×D4—41no—
676C4×D4—41no—
677C4×D4—41no—
678C4×D4—41no—
679C4×D4—41no—
680C4×D4—41no—
681C4×D4—41no—
682C4×D4—41no—
683C4×D4—41no—
684C4×D4—41no—
685C4×D4—82no—
686#117—22no—
687#117—41no—
688#117—41no—
689#117—41no—
690#117—44no—
691#117—41no—
692#117—41no—
693C2×C4⋊C4—21no—
694C2×C4⋊C4—21no—
695C2×C4⋊C4—22no—
696C2×C4⋊C4—21no—
697C2×C4⋊C4—21no—
698C2×C4⋊C4—21no—
699C2×C4⋊C4—21no—
700C2×C4⋊C4—21no—
701C2×C4⋊C4—21no—
702C2×C4⋊C4—21no—
703C2×C4⋊C4—21no—
704C2×C4⋊C4—21no—
705C2×C4⋊C4—21no—
706C2×C4⋊C4—21no—
707C2×C4⋊C4—21no—
708C2×C4⋊C4—21no—
709C2×C4⋊C4—21no—
710C2×C4⋊C4—21no—
711C2×C4⋊C4—21no—
712C2×C4⋊C4—41no—
713C2×C4⋊C4C2×D411yescharacteristic
714C2×C4⋊C4C2×D411yescharacteristic
715C2×C4⋊C4C2×D411yescharacteristic
716C2×C4⋊C4C2×D411yescharacteristic
717C2×C4⋊C4C2×D411yescharacteristic
718C2×C4⋊C4C2×D411yescharacteristic
719C2×C4⋊C4C2×D411yescharacteristic
720C2×C4⋊C4C2411yescharacteristic
721C2×C4⋊C4C2411yescharacteristic
722C2×C4⋊C4C2411yescharacteristic
723C2×C4⋊C4C2411yescharacteristic
724C2×C4⋊C4C2411yescharacteristic
725C2×C4⋊C4C2411yescharacteristic
726C2×C4⋊C4C2411yescharacteristic
727C2×C4⋊C4C2411yescharacteristic
728C2×C4⋊C4C2411yescharacteristic
729C2×C22⋊C4—21no—
730C2×C22⋊C4—21no—
731C2×C22⋊C4—21no—
732C2×C22⋊C4—21no—
733C2×C22⋊C4—21no—
734C2×C22⋊C4—21no—
735C2×C22⋊C4—21no—
736C2×C22⋊C4—21no—
737C2×C22⋊C4—21no—
738C2×C22⋊C4—21no—
739C2×C22⋊C4—21no—
740C2×C22⋊C4—21no—
741C2×C22⋊C4—21no—
742C2×C22⋊C4—21no—
743C2×C22⋊C4—21no—
744C2×C22⋊C4—21no—
745C2×C22⋊C4—21no—
746C2×C22⋊C4—21no—
747C2×C22⋊C4—21no—
748C2×C22⋊C4—21no—
749C2×C22⋊C4—21no—
750C2×C22⋊C4—21no—
751C2×C22⋊C4—21no—
752C2×C22⋊C4—21no—
753C2×C22⋊C4—21no—
754C2×C22⋊C4—21no—
755C2×C22⋊C4—21no—
756C2×C22⋊C4—21no—
757C2×C22⋊C4—21no—
758C2×C22⋊C4—21no—
759C2×C22⋊C4—21no—
760C2×C22⋊C4—21no—
761C2×C22⋊C4—21no—
762C2×C22⋊C4—21no—
763C2×C22⋊C4—21no—
764C2×C22⋊C4—21no—
765C2×C22⋊C4—21no—
766C2×C22⋊C4—21no—
767C2×C22⋊C4—21no—
768C2×C22⋊C4—21no—
769C2×C22⋊C4—21no—
770C2×C22⋊C4—21no—
771C2×C22⋊C4—21no—
772C2×C22⋊C4—21no—
773C2×C22⋊C4—44no—
774C2×C22⋊C4—44no—
775C2×C22⋊C4C2×D411yescharacteristic
776C2×C22⋊C4C2×D411yescharacteristic
777C2×C22⋊C4C2×D411yescharacteristic
778C2×C22⋊C4C2×D411yescharacteristic
779C2×C22⋊C4C2×D411yescharacteristic
780C2×C22⋊C4C2×D411yescharacteristic
781C2×C22⋊C4C2×D411yescharacteristic
782C2×C22⋊C4C2×D411yescharacteristic
783C2×C22⋊C4C2×D411yescharacteristic
784C2×C22⋊C4C2×D411yescharacteristic
785C2×C22⋊C4C2×D411yescharacteristic
786C2×C22⋊C4C2×D411yescharacteristic
787C2×C42—21no—
788C2×C42—21no—
789C2×C42—21no—
790C2×C42—21no—
791C2×C42—21no—
792C2×C42—21no—
793C2×C42C2411yescharacteristic
794C2×C42C2411yescharacteristic
795C2×C42C2411yescharacteristic
796C2×C42C2411yescharacteristic
797#107—22no—
798#107—41no—
799#106—22no—
800#106—41no—
801C4⋊C8—41no—
802C4⋊C8—41no—
803C4⋊C8—41no—
804C4⋊C8—41no—
805#103—22no—
806#103—22no—
807#103—22no—
808#103—22no—
809#103—22no—
810#103—22no—
811#103—41no—
812#103—41no—
813#103—41no—
814#103—41no—
815#103—41no—
816#103—41no—
817#103—41no—
818#103—41no—
819#102—22no—
820#102—22no—
821#102—22no—
822#102—22no—
823#102—22no—
824#102—22no—
825#102—22no—
826#102—22no—
827#102—41no—
828#102—41no—
829#102—41no—
830#102—41no—
831#102—41no—
832#102—41no—
833#102—41no—
834#102—41no—
835#102—41no—
836#102—41no—
837C22⋊C8—41no—
838C22⋊C8—41no—
839C22⋊C8—41no—
840C22⋊C8—41no—
841C22⋊C8—41no—
842C22⋊C8—41no—
843C22⋊C8—41no—
844C22⋊C8—41no—
845C22⋊C8—41no—
846C22⋊C8—41no—
847C4×C8—41no—
848C4×C8—41no—
849#95—21no—
850#95—21no—
851#95—21no—
852#95—21no—
853#95—21no—
854#95—21no—
855#95—21no—
856#95—21no—
857#95—21no—
858#95—21no—
859#95—21no—
860#95—21no—
861#95—21no—
862#95—21no—
863#95—21no—
864#95—21no—
865#95—21no—
866#95—21no—
867#95—21no—
868#95—21no—
869#95—21no—
870#95—21no—
871#95—21no—
872#95C2×D411yescharacteristic
873#95C2×D411yescharacteristic
874#95C2×D411yescharacteristic
875#95C2×D411yescharacteristic
876#95C2×D411yescharacteristic
877#95C2×D411yescharacteristic
878C24—24no—
879C24—21no—
880C24—21no—
881C24—21no—
882C24—21no—
883C24—81no—
884C24—81no—
885C24—81no—
886C24—81no—
887C24—81no—
888C24—81no—
889C24C22×D411yescharacteristic
890C24C22×D411yescharacteristic
891C24C22×D411yescharacteristic
892#41—44no—
893#41—44no—
894#41—82no—
895#41—82no—
896#41—82no—
897#41—82no—
898#41—82no—
899#41—82no—
900C2×Q8—21no—
901C2×Q8—21no—
902C2×Q8—21no—
903C2×Q8—21no—
904C2×Q8—21no—
905C2×Q8—21no—
906C2×Q8—21no—
907C2×Q8—21no—
908C2×Q8—21no—
909C2×Q8—21no—
910C2×Q8—21no—
911C2×Q8—21no—
912C2×Q8—21no—
913C2×Q8—21no—
914C2×Q8—21no—
915C2×Q8—21no—
916C2×Q8—21no—
917C2×Q8—21no—
918C2×D4—24no—
919C2×D4—21no—
920C2×D4—21no—
921C2×D4—21no—
922C2×D4—21no—
923C2×D4—21no—
924C2×D4—21no—
925C2×D4—21no—
926C2×D4—21no—
927C2×D4—21no—
928C2×D4—21no—
929C2×D4—21no—
930C2×D4—21no—
931C2×D4—21no—
932C2×D4—21no—
933C2×D4—21no—
934C2×D4—21no—
935C2×D4—21no—
936C2×D4—21no—
937C2×D4—21no—
938C2×D4—21no—
939C2×D4—21no—
940C2×D4—21no—
941C2×D4—41no—
942C2×D4—41no—
943C2×D4—41no—
944C2×D4—41no—
945C2×D4—41no—
946C2×D4—41no—
947C2×D4—41no—
948C2×D4—41no—
949C2×D4—41no—
950C2×D4—42no—
951C2×D4—42no—
952C2×D4—42no—
953C2×D4—42no—
954C2×D4—42no—
955C2×D4—42no—
956C2×D4—42no—
957C2×D4—42no—
958C2×D4—42no—
959C2×D4—42no—
960C2×D4—42no—
961C2×D4—42no—
962C2×D4—81no—
963C2×D4—81no—
964C2×D4—81no—
965C2×D4—81no—
966C2×D4—81no—
967C2×D4—81no—
968C2×D4—82no—
969C2×D4—82no—
970C2×D4—82no—
971C2×D4—82no—
972C2×D4—81no—
973C2×D4—81no—
974C2×D4—81no—
975C2×D4—81no—
976C2×D4—81no—
977C2×D4—81no—
978C2×D4—81no—
979C2×D4—81no—
980C2×D4—81no—
981C2×D4—81no—
982C2×D4—81no—
983C2×D4—81no—
984C2×D4—81no—
985C2×D4—81no—
986C2×D4—81no—
987C2×D4—81no—
988C2×D4—81no—
989C2×D4—81no—
990C2×D4—81no—
991C2×D4—81no—
992C2×D4H(5,𝔽2)12yes—
993C2×D4H(5,𝔽2)12yes—
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—21no—
1008C22×C4—21no—
1009C22×C4—21no—
1010C22×C4—21no—
1011C22×C4—21no—
1012C22×C4—21no—
1013C22×C4—21no—
1014C22×C4—21no—
1015C22×C4—21no—
1016C22×C4—21no—
1017C22×C4—21no—
1018C22×C4—21no—
1019C22×C4—21no—
1020C22×C4—21no—
1021C22×C4—21no—
1022C22×C4—21no—
1023C22×C4—21no—
1024C22×C4—42no—
1025C22×C4—42no—
1026C22×C4—42no—
1027C22×C4—42no—
1028C22×C4—42no—
1029C22×C4—42no—
1030C22×C4—42no—
1031C22×C4—42no—
1032C22×C4—81no—
1033C22×C4—81no—
1034C22×C4—81no—
1035C22×C4—81no—
1036C22×C4—81no—
1037C22×C4—81no—
1038C22×C4—81no—
1039C22×C4—81no—
1040C22×C4—81no—
1041C22×C4—81no—
1042C22×C4—81no—
1043C22×C4—81no—
1044C22×C4—81no—
1045C22×C4C22×D411yescharacteristic
1046C22×C4C22×D411yescharacteristic
1047C22×C4C22×D411yescharacteristic
1048C22×C4C22×D411yescharacteristic
1049C22×C4C22×D411yescharacteristic
1050C22×C4C22×D411yescharacteristic
1051C22×C4C22×D411yescharacteristic
1052C22×C4C22×D411yescharacteristic
1053C22×C4C22×D411yescharacteristic
1054C22×C4C22×D411yescharacteristic
1055C22×C4C22×D411yescharacteristic
1056C22×C4C2511yescharacteristic
1057Q16—82no—
1058Q16—82no—
1059SD16—82no—
1060SD16—82no—
1061SD16—82no—
1062SD16—82no—
1063SD16—82no—
1064SD16—82no—
1065D8—82no—
1066D8—82no—
1067D8—82no—
1068D8—82no—
1069M16—82no—
1070C2×C8—21no—
1071C2×C8—21no—
1072C2×C8—21no—
1073C2×C8—21no—
1074C2×C8—21no—
1075C2×C8—21no—
1076C2×C8—21no—
1077C2×C8—21no—
1078C2×C8—21no—
1079C2×C8—21no—
1080C2×C8—21no—
1081C2×C8—21no—
1082C2×C8—21no—
1083C2×C8—21no—
1084C2×C8—21no—
1085C2×C8—21no—
1086C2×C8—21no—
1087C2×C8—21no—
1088C2×C8—21no—
1089C2×C8—21no—
1090C2×C8—21no—
1091C2×C8—21no—
1092C2×C8—21no—
1093C2×C8—21no—
1094C2×C8—82no—
1095C4⋊C4—24no—
1096C4⋊C4—24no—
1097C4⋊C4—21no—
1098C4⋊C4—21no—
1099C4⋊C4—21no—
1100C4⋊C4—21no—
1101C4⋊C4—21no—
1102C4⋊C4—21no—
1103C4⋊C4—21no—
1104C4⋊C4—21no—
1105C4⋊C4—21no—
1106C4⋊C4—21no—
1107C4⋊C4—21no—
1108C4⋊C4—21no—
1109C4⋊C4—21no—
1110C4⋊C4—21no—
1111C4⋊C4—21no—
1112C4⋊C4—41no—
1113C4⋊C4—41no—
1114C4⋊C4—41no—
1115C4⋊C4—41no—
1116C4⋊C4—41no—
1117C4⋊C4—41no—
1118C4⋊C4—41no—
1119C4⋊C4—42no—
1120C4⋊C4—42no—
1121C4⋊C4—42no—
1122C4⋊C4—42no—
1123C4⋊C4—42no—
1124C4⋊C4—42no—
1125C4⋊C4—42no—
1126C4⋊C4—81no—
1127C4⋊C4—81no—
1128C4⋊C4—81no—
1129C4⋊C4—81no—
1130C4⋊C4—81no—
1131C4⋊C4—81no—
1132C4⋊C4—81no—
1133C4⋊C4—81no—
1134C4⋊C4—81no—
1135C4⋊C4H(5,𝔽2)12yes—
1136C4⋊C4H(5,𝔽2)12yes—
1137C4⋊C4H(5,𝔽2)12yes—
1138C22⋊C4—41no—
1139C22⋊C4—41no—
1140C22⋊C4—41no—
1141C22⋊C4—41no—
1142C22⋊C4—41no—
1143C22⋊C4—41no—
1144C22⋊C4—41no—
1145C22⋊C4—41no—
1146C22⋊C4—41no—
1147C22⋊C4—41no—
1148C22⋊C4—41no—
1149C22⋊C4—41no—
1150C22⋊C4—42no—
1151C22⋊C4—42no—
1152C22⋊C4—42no—
1153C22⋊C4—42no—
1154C22⋊C4—42no—
1155C22⋊C4—42no—
1156C22⋊C4—42no—
1157C22⋊C4—42no—
1158C22⋊C4—42no—
1159C22⋊C4—42no—
1160C22⋊C4—42no—
1161C22⋊C4—42no—
1162C22⋊C4—42no—
1163C22⋊C4—42no—
1164C22⋊C4—42no—
1165C22⋊C4—42no—
1166C22⋊C4—42no—
1167C22⋊C4—42no—
1168C22⋊C4—42no—
1169C22⋊C4—42no—
1170C22⋊C4—81no—
1171C22⋊C4—81no—
1172C22⋊C4—81no—
1173C22⋊C4—81no—
1174C22⋊C4—81no—
1175C22⋊C4—81no—
1176C22⋊C4—81no—
1177C22⋊C4—81no—
1178C22⋊C4—81no—
1179C22⋊C4—81no—
1180C22⋊C4—81no—
1181C22⋊C4—81no—
1182C22⋊C4—81no—
1183C22⋊C4—81no—
1184C22⋊C4—81no—
1185C22⋊C4—81no—
1186C22⋊C4—81no—
1187C22⋊C4—81no—
1188C22⋊C4—81no—
1189C22⋊C4—81no—
1190C22⋊C4—81no—
1191C22⋊C4—81no—
1192C22⋊C4—81no—
1193C22⋊C4—81no—
1194C42—21no—
1195C42—21no—
1196C42—21no—
1197C42—21no—
1198C42—21no—
1199C42—21no—
1200C42—21no—
1201C42—21no—
1202C42—42no—
1203C42—42no—
1204C42—81no—
1205C42—81no—
1206C42—81no—
1207C42—81no—
1208C23—21no—
1209C23—21no—
1210C23—21no—
1211C23—21no—
1212C23—21no—
1213C23—21no—
1214C23—21no—
1215C23—21no—
1216C23—21no—
1217C23—21no—
1218C23—21no—
1219C23—21no—
1220C23—21no—
1221C23—21no—
1222C23—22no—
1223C23—22no—
1224C23—21no—
1225C23—21no—
1226C23—21no—
1227C23—21no—
1228C23—21no—
1229C23—21no—
1230C23—21no—
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—41no—
1245C23—41no—
1246C23—41no—
1247C23—41no—
1248C23—41no—
1249C23—41no—
1250C23—41no—
1251C23—41no—
1252C23—41no—
1253C23—41no—
1254C23—41no—
1255C23—41no—
1256C23—41no—
1257C23—84no—
1258C23—84no—
1259C23—84no—
1260C23—162no—
1261C23—162no—
1262C23—162no—
1263C23—162no—
1264C23C23×D411yescharacteristic
1265Q8—41no—
1266Q8—41no—
1267Q8—41no—
1268Q8—41no—
1269Q8—41no—
1270Q8—41no—
1271Q8—41no—
1272Q8—41no—
1273Q8—41no—
1274Q8—41no—
1275Q8—41no—
1276Q8—41no—
1277D4—22no—
1278D4—22no—
1279D4—22no—
1280D4—22no—
1281D4—41no—
1282D4—41no—
1283D4—41no—
1284D4—41no—
1285D4—41no—
1286D4—41no—
1287D4—41no—
1288D4—41no—
1289D4—41no—
1290D4—41no—
1291D4—41no—
1292D4—41no—
1293D4—84no—
1294D4—82no—
1295D4—82no—
1296D4—82no—
1297D4—84no—
1298D4—84no—
1299D4—84no—
1300D4—162no—
1301D4—162no—
1302D4—162no—
1303D4—162no—
1304D4—162no—
1305D4—162no—
1306D4—162no—
1307D4—162no—
1308D4—162no—
1309C2×C4—21no—
1310C2×C4—21no—
1311C2×C4—21no—
1312C2×C4—21no—
1313C2×C4—21no—
1314C2×C4—21no—
1315C2×C4—21no—
1316C2×C4—21no—
1317C2×C4—21no—
1318C2×C4—21no—
1319C2×C4—21no—
1320C2×C4—21no—
1321C2×C4—21no—
1322C2×C4—21no—
1323C2×C4—21no—
1324C2×C4—21no—
1325C2×C4—21no—
1326C2×C4—21no—
1327C2×C4—21no—
1328C2×C4—21no—
1329C2×C4—21no—
1330C2×C4—21no—
1331C2×C4—21no—
1332C2×C4—21no—
1333C2×C4—21no—
1334C2×C4—22no—
1335C2×C4—21no—
1336C2×C4—21no—
1337C2×C4—21no—
1338C2×C4—22no—
1339C2×C4—21no—
1340C2×C4—21no—
1341C2×C4—21no—
1342C2×C4—22no—
1343C2×C4—21no—
1344C2×C4—21no—
1345C2×C4—41no—
1346C2×C4—41no—
1347C2×C4—41no—
1348C2×C4—41no—
1349C2×C4—41no—
1350C2×C4—41no—
1351C2×C4—41no—
1352C2×C4—41no—
1353C2×C4—41no—
1354C2×C4—41no—
1355C2×C4—41no—
1356C2×C4—41no—
1357C2×C4—41no—
1358C2×C4—41no—
1359C2×C4—41no—
1360C2×C4—41no—
1361C2×C4—41no—
1362C2×C4—41no—
1363C2×C4—41no—
1364C2×C4—41no—
1365C2×C4—41no—
1366C2×C4—41no—
1367C2×C4—41no—
1368C2×C4—41no—
1369C2×C4—41no—
1370C2×C4—41no—
1371C2×C4—41no—
1372C2×C4—41no—
1373C2×C4—41no—
1374C2×C4—41no—
1375C2×C4—41no—
1376C2×C4—41no—
1377C2×C4—41no—
1378C2×C4—41no—
1379C2×C4—41no—
1380C2×C4—41no—
1381C2×C4—41no—
1382C2×C4—41no—
1383C2×C4—41no—
1384C2×C4—41no—
1385C2×C4—41no—
1386C2×C4—41no—
1387C2×C4—41no—
1388C2×C4—41no—
1389C2×C4—41no—
1390C2×C4—84no—
1391C2×C4—84no—
1392C2×C4—84no—
1393C2×C4—162no—
1394C2×C4—162no—
1395C2×C4—162no—
1396C2×C4—162no—
1397C2×C4C2×H(5,𝔽2)11yescharacteristic
1398C2×C4C2×H(5,𝔽2)11yescharacteristic
1399C2×C4C2×H(5,𝔽2)11yescharacteristic
1400C2×C4C2×H(5,𝔽2)11yescharacteristic
1401C2×C4C2×H(5,𝔽2)11yescharacteristic
1402C2×C4#58511yescharacteristic
1403C8—41no—
1404C8—41no—
1405C8—41no—
1406C8—41no—
1407C8—41no—
1408C8—41no—
1409C8—41no—
1410C8—41no—
1411C22—41no—
1412C22—41no—
1413C22—41no—
1414C22—41no—
1415C22—41no—
1416C22—41no—
1417C22—42no—
1418C22—41no—
1419C22—41no—
1420C22—41no—
1421C22—42no—
1422C22—41no—
1423C22—41no—
1424C22—41no—
1425C22—42no—
1426C22—41no—
1427C22—41no—
1428C22—41no—
1429C22—42no—
1430C22—41no—
1431C22—41no—
1432C22—41no—
1433C22—42no—
1434C22—42no—
1435C22—41no—
1436C22—41no—
1437C22—41no—
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—81no—
1457C22—81no—
1458C22—81no—
1459C22—81no—
1460C22—168no—
1461C22#348411yescharacteristic
1462C22#348411yescharacteristic
1463C22#348811yescharacteristic
1464C22#358411yescharacteristic
1465C22#358411yescharacteristic
1466C22#358411yescharacteristic
1467C22#358511yescharacteristic
1468C4—42no—
1469C4—41no—
1470C4—41no—
1471C4—41no—
1472C4—41no—
1473C4—42no—
1474C4—41no—
1475C4—41no—
1476C4—41no—
1477C4—41no—
1478C4—41no—
1479C4—41no—
1480C4—41no—
1481C4—42no—
1482C4—81no—
1483C4—81no—
1484C4—81no—
1485C4—81no—
1486C4—81no—
1487C4—81no—
1488C4—81no—
1489C4—81no—
1490C4—81no—
1491C4#354211yescharacteristic
1492C4#354211yescharacteristic
1493C4#354311yescharacteristic
1494C4#354311yescharacteristic
1495C2—81no—
1496C2—81no—
1497C2—81no—
1498C2—82no—
1499C2—82no—
1500C2—161no—
1501C2—161no—
1502C2#4783111yescharacteristic
1503C2#6161411yescharacteristic
1504C2#6162511yescharacteristic
1505C2#6163511yescharacteristic
1506C2#6166311yescharacteristic
1507C2#6202711yescharacteristic
1508C2#6206211yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ #2392 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #45064C2semidirect
2. #42673C2semidirect
3. #31726C2semidirect
4. #31721C2semidirect
5. #30747C2semidirect
6. #30747C2semidirect
7. #30720C2semidirect
8. #30702C2semidirect
9. #30611C2semidirect
10. #30591C2semidirect
11. #30515C2semidirect
12. #30505C2semidirect
13. #30455C2semidirect
14. #30455C2semidirect
15. #30124C2semidirect
16. #29673C2semidirect
17. #28130C2semidirect
18. #26700C2semidirect
19. #26696C2semidirect
20. #26668C2semidirect
21. #26657C2semidirect
22. #25762C2semidirect
23. #25762C2semidirect
24. #25094C2semidirect
25. #25083C2semidirect
26. #24444C2semidirect
27. #24428C2semidirect
28. #23978C2semidirect
29. #23971C2semidirect
30. #23939C2semidirect
31. #23328C2semidirect
32. C2×#552C22semidirect
40. C2×#468C22semidirect
42. C2×#465C22semidirect
45. C2×#461C22semidirect
46. C2×#461C22semidirect
70. #2548C22semidirect
71. #2541C22semidirect
82. #2427C22semidirect
83. #2427C22semidirect
94. #2370C22semidirect
95. #2363C22semidirect
96. #2361C22semidirect
99. #2101C22semidirect
100. #2097C22semidirect
101. #2088C22semidirect
102. #2086C22semidirect
107. #2055C22semidirect
108. #2055C22semidirect
109. #2043C22semidirect
112. #2042C22semidirect
113. #2042C22semidirect
116. #2034C22semidirect
117. #2034C22semidirect
118. #2033C22semidirect
119. #2033C22semidirect
120. #2026C22semidirect
121. #2026C22semidirect
124. #2016C22semidirect
125. #2015C22semidirect
126. #2015C22semidirect
127. #2014C22semidirect
128. #2014C22semidirect
135. #2001C22semidirect
136. #2001C22semidirect
143. #2000C22semidirect
144. #2000C22semidirect
151. #1934C22semidirect
152. #1934C22semidirect
153. #1933C22semidirect
154. #1933C22semidirect
155. #1928C22semidirect
156. #1928C22semidirect
157. #1927C22semidirect
158. #1927C22semidirect
161. #1923C22semidirect
162. #1923C22semidirect
163. #1921C22semidirect
164. #1920C22semidirect
165. #1916C22semidirect
166. #1916C22semidirect
167. #1894C22semidirect
168. #1892C22semidirect
177. #1878C22semidirect
178. #1878C22semidirect
183. #1873C22semidirect
184. #1872C22semidirect
186. #1870C22semidirect
188. #1869C22semidirect
191. #1851C22semidirect
192. #1850C22semidirect
194. #1825C22semidirect
195. #1824C22semidirect
197. #1804C22semidirect
198. #1804C22semidirect

Maximal subgroups

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

subgroupindex
#450642
#426732
#317262
#317212
#307472
#307202
#307022
#306112
#305912
#305152
#305052
#304552
#301242
#296732
#281302
#267002
#266962
#266682
#266572
#257622
#250942
#250832
#244442
#244282
#239782
#239712
#239392
#233282