Finite Group Databasebeta

← #7004309

Subgroups — #7004309

Order 512.

1926 conjugacy classes of subgroups.

The subgroup lattice has 1534 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#44868C211yesmaximal, characteristic, complemented
2#42462C211yesmaximal, characteristic, complemented
3#32040C211yesmaximal, characteristic, complemented
4#31735C211yesmaximal, characteristic, complemented
5#31499C211yesmaximal, characteristic, complemented
6#31337C211yesmaximal, characteristic, complemented
7#31306C211yesmaximal, characteristic, complemented
8#30992C211yesmaximal, characteristic, complemented
9#30907C211yesmaximal, characteristic, complemented
10#30412C211yesmaximal, characteristic, complemented
11#29067C211yesmaximal, characteristic, complemented
12#28916C211yesmaximal, characteristic, complemented
13#28100C211yesmaximal, characteristic, complemented
14#27263C211yesmaximal, characteristic, complemented
15#27039C211yesmaximal, characteristic, complemented
16#26685C211yesmaximal, characteristic, complemented
17#26366C211yesmaximal, characteristic, complemented
18#26212C211yesmaximal, characteristic, complemented
19#25891C211yesmaximal, characteristic, complemented
20#25401C211yesmaximal, characteristic, complemented
21#25106C211yesmaximal, characteristic, complemented
22#24792C211yesmaximal, characteristic, complemented
23#24440C211yesmaximal, characteristic, complemented
24#24428C211yesmaximal, characteristic, complemented
25#24397C211yesmaximal, characteristic, complemented
26#24390C211yesmaximal, characteristic, complemented
27#23485C211yesmaximal, characteristic, complemented
28#23132C211yesmaximal, characteristic, complemented
29#22849C211yesmaximal, characteristic, complemented
30#22427C211yesmaximal, characteristic, complemented
31#21770C211yesmaximal, characteristic, complemented
32C2×#546C2211yescharacteristic
33C2×D42C2211yescharacteristic
34C2×#537C2211yescharacteristic
35C2×#535C2211yescharacteristic
36C2×#490C2211yescharacteristic
37C2×#478C2211yescharacteristic
38C2×#469C2211yescharacteristic
39C2×#469C2211yescharacteristic, complemented
40C2×#469C2211yescharacteristic, complemented
41C2×#466C2211yescharacteristic
42C2×#465C2211yescharacteristic, complemented
43C2×#463C2211yescharacteristic, complemented
44C2×#449C2211yescharacteristic, complemented
45C2×#447C2211yescharacteristic
46C2×#447C2211yescharacteristic
47C2×#436C2211yescharacteristic, complemented
48C2×#435C2211yescharacteristic, complemented
49C2×#428C2211yescharacteristic, complemented
50C2×#417C2211yescharacteristic, complemented
51C2×#418C2211yescharacteristic
52C2×#416C2211yescharacteristic, complemented
53C2×#408C2211yescharacteristic, complemented
54C2×#408C2211yescharacteristic, complemented
55#2825—21no—
56#2808—21no—
57#2803—21no—
58#2745—21no—
59#2714—21no—
60#2678—21no—
61#2672—21no—
62#2669—21no—
63#2668—21no—
64#2648—21no—
65#2635—21no—
66#2615C2211yescharacteristic, complemented
67#2562C2211yescharacteristic
68#2540C2211yescharacteristic
69#2537C2211yescharacteristic, complemented
70#2496C2211yescharacteristic, complemented
71#2494C2211yescharacteristic, complemented
72#2490C2211yescharacteristic, complemented
73#2485C2211yescharacteristic, complemented
74#2472—21no—
75#2467—21no—
76#2441C2211yescharacteristic, complemented
77#2435C2211yescharacteristic
78#2431C2211yescharacteristic
79#2428—21no—
80#2428C2211yescharacteristic
81#2427C2211yescharacteristic
82#2420C2211yescharacteristic, complemented
83#2416C2211yescharacteristic
84#2415C2211yescharacteristic
85#2414C2211yescharacteristic
86#2414C2211yescharacteristic, complemented
87#2410—21no—
88#2408—21no—
89#2408C2211yescharacteristic
90#2388C2211yescharacteristic
91#2363C2211yescharacteristic
92#2361C2211yescharacteristic
93#2361C2211yescharacteristic, complemented
94#2352C2211yescharacteristic, complemented
95#2311C2211yescharacteristic, complemented
96#2101C2211yescharacteristic, complemented
97#2094C2211yescharacteristic
98#2088C2211yescharacteristic, complemented
99#2077C2211yescharacteristic, complemented
100#2073C2211yescharacteristic, complemented
101#2071C2211yescharacteristic, complemented
102#2067C2211yescharacteristic
103#2067C2211yescharacteristic, complemented
104#2065C2211yescharacteristic, complemented
105#2065C2211yescharacteristic, complemented
106#2059C2211yescharacteristic, complemented
107#2055C2211yescharacteristic, complemented
108#2042C2211yescharacteristic
109#2042C2211yescharacteristic, complemented
110#2042C2211yescharacteristic, complemented
111#2041C2211yescharacteristic
112#2036C2211yescharacteristic, complemented
113#2036C2211yescharacteristic, complemented
114#2036C2211yescharacteristic, complemented
115#2035C2211yescharacteristic, complemented
116#2035C2211yescharacteristic, complemented
117#2035C2211yescharacteristic, complemented
118#2034C2211yescharacteristic
119#2034C2211yescharacteristic
120#2034C2211yescharacteristic
121#2034C2211yescharacteristic
122#2034C2211yescharacteristic, complemented
123#2034C2211yescharacteristic, complemented
124#2033C2211yescharacteristic
125#2033C2211yescharacteristic
126#2033C2211yescharacteristic, complemented
127#2033C2211yescharacteristic, complemented
128#2026C2211yescharacteristic, complemented
129#2012C2211yescharacteristic
130#2011C2211yescharacteristic
131#2000C2211yescharacteristic, complemented
132#2000C2211yescharacteristic, complemented
133#1999C2211yescharacteristic
134#1999C2211yescharacteristic
135#1999C2211yescharacteristic, complemented
136#1983C2211yescharacteristic
137#1982C2211yescharacteristic
138#1970C2211yescharacteristic, complemented
139#1959C2211yescharacteristic, complemented
140#1958C2211yescharacteristic
141#1955C2211yescharacteristic
142#1948C2211yescharacteristic, complemented
143#1941C2211yescharacteristic, complemented
144#1936C2211yescharacteristic
145#1936C2211yescharacteristic, complemented
146#1936C2211yescharacteristic, complemented
147#1935C2211yescharacteristic, complemented
148#1927C2211yescharacteristic, complemented
149#1926C2211yescharacteristic, complemented
150#1924C2211yescharacteristic, complemented
151#1923C2211yescharacteristic, complemented
152#1921C2211yescharacteristic, complemented
153#1921C2211yescharacteristic, complemented
154#1920C2211yescharacteristic, complemented
155#1918C2211yescharacteristic, complemented
156#1895C2211yescharacteristic
157#1895C2211yescharacteristic
158#1895C2211yescharacteristic, complemented
159#1894C2211yescharacteristic, complemented
160#1894C2211yescharacteristic, complemented
161#1893C2211yescharacteristic
162#1893C2211yescharacteristic, complemented
163#1893C2211yescharacteristic, complemented
164#1893C2211yescharacteristic, complemented
165#1879C2211yescharacteristic
166#1879C2211yescharacteristic
167#1879C2211yescharacteristic, complemented
168#1879C2211yescharacteristic, complemented
169#1875C2211yescharacteristic
170#1875C2211yescharacteristic
171#1875C2211yescharacteristic, complemented
172#1875C2211yescharacteristic, complemented
173#1874C2211yescharacteristic
174#1874C2211yescharacteristic, complemented
175#1874C2211yescharacteristic, complemented
176#1873C2211yescharacteristic, complemented
177#1870C2211yescharacteristic
178#1870C2211yescharacteristic, complemented
179#1869C2211yescharacteristic, complemented
180#1864C2211yescharacteristic
181#1862C2211yescharacteristic, complemented
182#1854C2211yescharacteristic, complemented
183#1853C2211yescharacteristic, complemented
184#1851C2211yescharacteristic, complemented
185#1850C2211yescharacteristic, complemented
186#1825C2211yescharacteristic, complemented
187#1825C2211yescharacteristic, complemented
188#1825C2211yescharacteristic, complemented
189#1809C2211yescharacteristic, complemented
190#1804C2211yescharacteristic, complemented
191#1788C2211yescharacteristic, complemented
192#1786C2211yescharacteristic
193#1786C2211yescharacteristic
194#1786C2211yescharacteristic
195#1786C2211yescharacteristic
196#1786C2211yescharacteristic
197#1762C2211yescharacteristic
198#1762C2211yescharacteristic, complemented
199C4×#102C2211yescharacteristic, complemented
200#1753C2211yescharacteristic, complemented
201#1752C2211yescharacteristic, complemented
202C2×#340C2211yescharacteristic, complemented
203C22×#41C2311yescharacteristic
204C22×#41C2311yescharacteristic
205C23×D4—21no—
206C23×D4C2311yescharacteristic
207C23×D4C2311yescharacteristic
208C22×SD16C2311yescharacteristic
209C22×D8C2311yescharacteristic
210C22×D8C2311yescharacteristic
211C22×D8C2311yescharacteristic
212C22×M16C2311yescharacteristic
213C22×M16C2311yescharacteristic
214C22×M16C2311yescharacteristic
215C23×C8C2311yescharacteristic
216C23×C8C2311yescharacteristic
217#546—24no—
218#546—42no—
219D42—42no—
220D42—42no—
221#537—42no—
222#537—42no—
223#535—24no—
224#535—42no—
225C2×#127—21no—
226C2×#127C2311yescharacteristic
227C2×#126—21no—
228C2×#125C2311yescharacteristic
229C2×#124—21no—
230C2×#124C2311yescharacteristic
231C2×#124C2311yescharacteristic
232C2×#123—21no—
233C2×C22⋊Q8—21no—
234C2×C22⋊Q8C2311yescharacteristic
235C2×C22⋊Q8C2311yescharacteristic
236C2×C22⋊Q8C2311yescharacteristic
237C2×#121—21no—
238C2×#121—21no—
239C2×#121—21no—
240C2×#121—21no—
241C2×#121—21no—
242C2×#121—21no—
243C2×#121—21no—
244C2×#121—21no—
245C2×#121C2311yescharacteristic
246C2×#121C2311yescharacteristic
247C2×#121C2311yescharacteristic
248C2×#121C2311yescharacteristic
249C2×#121C2311yescharacteristic
250C2×#121C2311yescharacteristic
251C2×#121C2311yescharacteristic
252C2×#121C2311yescharacteristic
253C2×#121C2311yescharacteristic
254C2×#121C2311yescharacteristic
255C2×#121C2311yescharacteristic
256C2×#120—21no—
257C2×#120—21no—
258C2×#120—21no—
259C2×#120—21no—
260C2×#120—21no—
261C2×#120—21no—
262C2×C4×D4—21no—
263C2×C4×D4—21no—
264C2×C4×D4C2311yescharacteristic
265C2×C4×D4C2311yescharacteristic
266C2×C4×D4C2311yescharacteristic
267C2×C4×D4C2311yescharacteristic
268C2×C4×D4C2311yescharacteristic
269C2×C4×D4C2311yescharacteristic
270C2×#117C2311yescharacteristic
271C2×#117C2311yescharacteristic
272C2×#117C2311yescharacteristic
273C22×C4⋊C4C2311yescharacteristic
274C22×C4⋊C4C2311yescharacteristic
275C22×C22⋊C4—21no—
276#490—42no—
277#478—42no—
278#469—42no—
279#469—42no—
280#469—42no—
281#466—24no—
282#465—42no—
283#463—42no—
284#449—42no—
285#447—42no—
286#447—42no—
287#436—42no—
288#435—42no—
289#428—42no—
290C2×#107C2311yescharacteristic
291C2×#107C2311yescharacteristic
292C2×#107C2311yescharacteristic
293C2×#106C2311yescharacteristic
294C2×#106C2311yescharacteristic
295C2×#106C2311yescharacteristic
296C2×#106C2311yescharacteristic
297C2×#106C2311yescharacteristic
298C2×C4⋊C8C2311yescharacteristic
299C2×C4⋊C8C2311yescharacteristic
300C2×C4⋊C8C2311yescharacteristic
301#418—42no—
302#417—42no—
303#416—42no—
304C2×#103C2311yescharacteristic
305C2×#103C2311yescharacteristic
306C2×#103C2311yescharacteristic
307C2×#103C2311yescharacteristic
308C2×#103C2311yescharacteristic
309C2×#103C2311yescharacteristic
310C2×#103C2311yescharacteristic
311C2×#102C2311yescharacteristic
312C2×#102C2311yescharacteristic
313C2×#102C2311yescharacteristic
314C2×#102C2311yescharacteristic
315C2×#102C2311yescharacteristic
316C2×#102C2311yescharacteristic
317C2×#102C2311yescharacteristic
318C2×#102C2311yescharacteristic
319C2×#102C2311yescharacteristic
320C2×#102C2311yescharacteristic
321C2×#102C2311yescharacteristic
322C2×#102C2311yescharacteristic
323C2×#102C2311yescharacteristic
324C2×#102C2311yescharacteristic
325C2×#102C2311yescharacteristic
326C2×#102C2311yescharacteristic
327C2×#102C2311yescharacteristic
328C2×#102C2311yescharacteristic
329C2×#102C2311yescharacteristic
330C2×#102C2311yescharacteristic
331C2×#102C2311yescharacteristic
332C2×#102C2311yescharacteristic
333C2×#102C2311yescharacteristic
334C2×#102C2311yescharacteristic
335C2×#102C2311yescharacteristic
336#408—42no—
337#408—42no—
338C2×C22⋊C8C2311yescharacteristic
339C2×C22⋊C8C2311yescharacteristic
340C2×C22⋊C8C2311yescharacteristic
341C2×C22⋊C8C2311yescharacteristic
342C2×C22⋊C8C2311yescharacteristic
343C2×C22⋊C8C2311yescharacteristic
344C2×C22⋊C8C2311yescharacteristic
345C2×C22⋊C8C2311yescharacteristic
346C2×C22⋊C8C2311yescharacteristic
347C2×C22⋊C8C2311yescharacteristic
348C2×C22⋊C8C2311yescharacteristic
349C2×#97C2311yescharacteristic
350C2×#97C2311yescharacteristic
351C2×C4×C8C2311yescharacteristic
352#401—21no—
353#400—21no—
354#400—21no—
355#399—21no—
356#399—21no—
357#397—21no—
358#397—21no—
359#397—21no—
360#397—21no—
361#397—21no—
362#397—21no—
363#397—21no—
364#396—21no—
365#396—21no—
366#395D411yescharacteristic
367#394—21no—
368#394—21no—
369#394—21no—
370#394—21no—
371#394—21no—
372#394—21no—
373#394—21no—
374#394—21no—
375#394—21no—
376#394—21no—
377#394—21no—
378#394—21no—
379#394—21no—
380#394—21no—
381#394—21no—
382#394D411yescharacteristic
383#394D411yescharacteristic
384#394D411yescharacteristic
385#393—21no—
386#393D411yescharacteristic
387#392—21no—
388#392—21no—
389#392—21no—
390#392—21no—
391#392—21no—
392#392—21no—
393#392—21no—
394#392—21no—
395#392—21no—
396#392—21no—
397#392D411yescharacteristic
398#392D411yescharacteristic
399#392D411yescharacteristic
400#391—21no—
401#391C2311yescharacteristic
402#390—21no—
403#390—21no—
404#390—21no—
405#390—21no—
406#390—21no—
407#390—21no—
408#390—21no—
409#390C2311yescharacteristic
410#390C2311yescharacteristic
411#390C2311yescharacteristic
412#390C2311yescharacteristic
413#390C2311yescharacteristic
414#389—21no—
415#389—21no—
416#389C2311yescharacteristic
417#389C2311yescharacteristic
418#389C2311yescharacteristic
419#389C2311yescharacteristic
420#389C2311yescharacteristic
421#389C2311yescharacteristic
422#388—21no—
423#388—21no—
424#388—21no—
425#388—21no—
426#388—21no—
427#388—21no—
428#388—21no—
429#388—21no—
430#388—21no—
431#388—21no—
432#388—21no—
433#388—21no—
434#387—21no—
435#387—21no—
436#387—21no—
437#387—21no—
438#387—21no—
439#386—21no—
440#386—21no—
441#386—21no—
442#386—21no—
443#386—21no—
444#386—21no—
445#386—21no—
446#386—21no—
447#386—21no—
448#386—21no—
449#386—21no—
450#386—21no—
451#385—21no—
452#385—21no—
453#384C2311yescharacteristic
454#382C2311yescharacteristic
455#381—21no—
456#380—21no—
457#380—21no—
458#380C2311yescharacteristic
459#380C2311yescharacteristic
460#380C2311yescharacteristic
461#380C2311yescharacteristic
462#380C2311yescharacteristic
463#380C2311yescharacteristic
464#380C2311yescharacteristic
465#380C2311yescharacteristic
466#380C2311yescharacteristic
467#380C2311yescharacteristic
468#379—21no—
469#379—21no—
470#379—21no—
471C4×C4⋊C4C2311yescharacteristic
472C4×C4⋊C4C2311yescharacteristic
473C4×C4⋊C4C2311yescharacteristic
474C4×C22⋊C4—21no—
475C4×C22⋊C4—21no—
476C4×C22⋊C4C2311yescharacteristic
477C4×C22⋊C4C2311yescharacteristic
478C4×C22⋊C4C2311yescharacteristic
479#340C2311yescharacteristic
480#340C2311yescharacteristic
481#340C2311yescharacteristic
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#340C2311yescharacteristic
499#336C2311yescharacteristic
500#336C2311yescharacteristic
501#336C2311yescharacteristic
502#336C2311yescharacteristic
503#336C2311yescharacteristic
504#336C2311yescharacteristic
505C25—21no—
506C25—21no—
507C2×#41—22no—
508C2×#41—22no—
509C2×#41—22no—
510C2×#41—22no—
511C2×#41—22no—
512C2×#41—41no—
513C2×#41—41no—
514C2×#41—41no—
515C2×#41—41no—
516C2×#41—41no—
517C2×#41—41no—
518C2×#41—41no—
519C22×Q8C2×D411yescharacteristic
520C22×Q8C2411yescharacteristic
521C22×D4—21no—
522C22×D4—21no—
523C22×D4—22no—
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—21no—
540C22×D4—41no—
541C22×D4—41no—
542C22×D4—41no—
543C22×D4—41no—
544C22×D4—41no—
545C22×D4—41no—
546C22×D4—41no—
547C22×D4—41no—
548C22×D4—41no—
549C22×D4—44no—
550C22×D4—82no—
551C22×D4—82no—
552C22×D4C2×D411yescharacteristic
553C22×D4C2×D411yescharacteristic
554C22×D4C2×D411yescharacteristic
555C22×D4C2×D411yescharacteristic
556C22×D4C2×D411yescharacteristic
557C22×D4C2×D411yescharacteristic
558C22×D4C2411yescharacteristic
559C22×D4C2411yescharacteristic
560C22×D4C2411yescharacteristic
561C22×D4C2411yescharacteristic
562C23×C4—21no—
563C23×C4—21no—
564C23×C4—21no—
565C23×C4—21no—
566C23×C4—21no—
567C23×C4—21no—
568C23×C4C2411yescharacteristic
569C23×C4C2411yescharacteristic
570C23×C4C2411yescharacteristic
571C23×C4C2411yescharacteristic
572C2×SD16—41no—
573C2×SD16—41no—
574C2×SD16—41no—
575C2×D8—22no—
576C2×D8—22no—
577C2×D8—22no—
578C2×D8—41no—
579C2×D8—41no—
580C2×D8—41no—
581C2×D8—41no—
582C2×D8—41no—
583C2×D8—41no—
584C2×M16—22no—
585C2×M16—22no—
586C2×M16—22no—
587C2×M16—41no—
588C2×M16—41no—
589C2×M16—41no—
590C2×M16—41no—
591C2×M16—41no—
592C2×M16—41no—
593C22×C8—22no—
594C22×C8—41no—
595C22×C8—41no—
596C22×C8—41no—
597C22×C8—41no—
598C22×C8—41no—
599C22×C8C2411yescharacteristic
600C22×C8C2411yescharacteristic
601C22×C8C2411yescharacteristic
602C22×C8C2411yescharacteristic
603C22×C8C2411yescharacteristic
604C22×C8C2411yescharacteristic
605C22×C8C2411yescharacteristic
606C22×C8C2411yescharacteristic
607#127—22no—
608#127—41no—
609#127—44no—
610#126—82no—
611#125—41no—
612#125—41no—
613#124—22no—
614#124—41no—
615#124—41no—
616#124—41no—
617#124—44no—
618#123—44no—
619C22⋊Q8—22no—
620C22⋊Q8—22no—
621C22⋊Q8—44no—
622C22⋊Q8—41no—
623C22⋊Q8—41no—
624C22⋊Q8—41no—
625C22⋊Q8—41no—
626#121—22no—
627#121—22no—
628#121—22no—
629#121—22no—
630#121—22no—
631#121—22no—
632#121—22no—
633#121—22no—
634#121—22no—
635#121—22no—
636#121—22no—
637#121—44no—
638#121—44no—
639#121—44no—
640#121—41no—
641#121—41no—
642#121—41no—
643#121—41no—
644#121—44no—
645#121—44no—
646#121—41no—
647#121—41no—
648#121—41no—
649#121—41no—
650#121—41no—
651#121—41no—
652#121—82no—
653#121—82no—
654#121—82no—
655#121#4114yes—
656#120—44no—
657#120—44no—
658#120—44no—
659#120—44no—
660#120—44no—
661#120—82no—
662C4×D4—22no—
663C4×D4—22no—
664C4×D4—22no—
665C4×D4—22no—
666C4×D4—41no—
667C4×D4—41no—
668C4×D4—41no—
669C4×D4—41no—
670C4×D4—41no—
671C4×D4—41no—
672C4×D4—41no—
673C4×D4—41no—
674C4×D4—82no—
675C4×D4—82no—
676#117—22no—
677#117—41no—
678#117—41no—
679#117—41no—
680#117—41no—
681#117—41no—
682C2×C4⋊C4—22no—
683C2×C4⋊C4—21no—
684C2×C4⋊C4—21no—
685C2×C4⋊C4—21no—
686C2×C4⋊C4—21no—
687C2×C4⋊C4—21no—
688C2×C4⋊C4—21no—
689C2×C4⋊C4—21no—
690C2×C4⋊C4—21no—
691C2×C4⋊C4—21no—
692C2×C4⋊C4—21no—
693C2×C4⋊C4—21no—
694C2×C4⋊C4—21no—
695C2×C4⋊C4—21no—
696C2×C4⋊C4—21no—
697C2×C4⋊C4—21no—
698C2×C4⋊C4—41no—
699C2×C4⋊C4—41no—
700C2×C4⋊C4—41no—
701C2×C4⋊C4C2×D411yescharacteristic
702C2×C4⋊C4C2×D411yescharacteristic
703C2×C4⋊C4C2×D411yescharacteristic
704C2×C4⋊C4C2411yescharacteristic
705C2×C4⋊C4C2411yescharacteristic
706C2×C4⋊C4C2411yescharacteristic
707C2×C4⋊C4C2411yescharacteristic
708C2×C4⋊C4C2411yescharacteristic
709C2×C4⋊C4C2411yescharacteristic
710C2×C4⋊C4C2411yescharacteristic
711C2×C4⋊C4C2411yescharacteristic
712C2×C4⋊C4C2411yescharacteristic
713C2×C4⋊C4C2411yescharacteristic
714C2×C4⋊C4C2411yescharacteristic
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—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—44no—
760C2×C22⋊C4C2×D411yescharacteristic
761C2×C22⋊C4C2×D411yescharacteristic
762C2×C22⋊C4C2×D411yescharacteristic
763C2×C22⋊C4C2×D411yescharacteristic
764C2×C22⋊C4C2×D411yescharacteristic
765C2×C22⋊C4C2×D411yescharacteristic
766C2×C22⋊C4C2×D411yescharacteristic
767C2×C22⋊C4C2×D411yescharacteristic
768C2×C22⋊C4C2×D411yescharacteristic
769C2×C22⋊C4C2×D411yescharacteristic
770C2×C22⋊C4C2×D411yescharacteristic
771C2×C22⋊C4C2×D411yescharacteristic
772C2×C42—21no—
773C2×C42—21no—
774C2×C42—21no—
775C2×C42—21no—
776C2×C42—21no—
777C2×C42—21no—
778C2×C42C2411yescharacteristic
779C2×C42C2411yescharacteristic
780C2×C42C2411yescharacteristic
781#107—22no—
782#107—22no—
783#107—41no—
784#106—22no—
785#106—22no—
786#106—41no—
787#106—41no—
788#106—41no—
789C4⋊C8—22no—
790C4⋊C8—41no—
791C4⋊C8—41no—
792#103—22no—
793#103—41no—
794#103—41no—
795#103—41no—
796#103—41no—
797#103—41no—
798#103—41no—
799#102—22no—
800#102—22no—
801#102—22no—
802#102—22no—
803#102—22no—
804#102—22no—
805#102—22no—
806#102—22no—
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—41no—
818#102—41no—
819#102—41no—
820#102—41no—
821#102—41no—
822#102—41no—
823#102—41no—
824C22⋊C8—22no—
825C22⋊C8—22no—
826C22⋊C8—22no—
827C22⋊C8—22no—
828C22⋊C8—41no—
829C22⋊C8—41no—
830C22⋊C8—41no—
831C22⋊C8—41no—
832C22⋊C8—41no—
833C22⋊C8—41no—
834C22⋊C8—41no—
835#97—41no—
836#97—41no—
837C4×C8—41no—
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—
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#95C2×D411yescharacteristic
862#95C2×D411yescharacteristic
863#95C2×D411yescharacteristic
864#95C2×D411yescharacteristic
865#95C2×D411yescharacteristic
866#95C2×D411yescharacteristic
867C24—21no—
868C24—21no—
869C24—21no—
870C24—21no—
871C24—42no—
872C24—42no—
873C24—42no—
874C24—42no—
875C24—42no—
876C24—81no—
877C24—81no—
878C24—81no—
879C24—81no—
880C24—81no—
881C24—81no—
882C24—81no—
883C24—81no—
884C24—81no—
885C24C22×D411yescharacteristic
886C24C22×D411yescharacteristic
887C24C22×D411yescharacteristic
888C24C22×D411yescharacteristic
889#41—44no—
890#41—44no—
891#41—82no—
892#41—82no—
893#41—82no—
894#41—82no—
895#41—82no—
896#41—82no—
897C2×Q8—22no—
898C2×Q8—21no—
899C2×Q8—21no—
900C2×Q8—21no—
901C2×Q8—21no—
902C2×Q8—21no—
903C2×Q8—21no—
904C2×Q8—41no—
905C2×Q8—41no—
906C2×D4—24no—
907C2×D4—22no—
908C2×D4—24no—
909C2×D4—22no—
910C2×D4—22no—
911C2×D4—22no—
912C2×D4—21no—
913C2×D4—21no—
914C2×D4—21no—
915C2×D4—21no—
916C2×D4—21no—
917C2×D4—21no—
918C2×D4—21no—
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—41no—
935C2×D4—41no—
936C2×D4—41no—
937C2×D4—41no—
938C2×D4—41no—
939C2×D4—41no—
940C2×D4—41no—
941C2×D4—41no—
942C2×D4—41no—
943C2×D4—41no—
944C2×D4—41no—
945C2×D4—41no—
946C2×D4—41no—
947C2×D4—41no—
948C2×D4—42no—
949C2×D4—42no—
950C2×D4—42no—
951C2×D4—42no—
952C2×D4—42no—
953C2×D4—42no—
954C2×D4—42no—
955C2×D4—42no—
956C2×D4—42no—
957C2×D4—44no—
958C2×D4—42no—
959C2×D4—42no—
960C2×D4—42no—
961C2×D4—42no—
962C2×D4—42no—
963C2×D4—42no—
964C2×D4—42no—
965C2×D4—81no—
966C2×D4—81no—
967C2×D4—81no—
968C2×D4—81no—
969C2×D4—81no—
970C2×D4—82no—
971C2×D4—82no—
972C2×D4—82no—
973C2×D4—82no—
974C2×D4—82no—
975C2×D4—82no—
976C2×D4—82no—
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×D4—81no—
993C2×D4—81no—
994C2×D4—81no—
995C2×D4—81no—
996C2×D4—81no—
997C2×D4—81no—
998C2×D4—81no—
999C2×D4—81no—
1000C2×D4—81no—
1001C2×D4—81no—
1002C2×D4—816no—
1003C2×D4C2×#4112yes—
1004C2×D4H(5,𝔽2)12yes—
1005C22×C4—21no—
1006C22×C4—21no—
1007C22×C4—21no—
1008C22×C4—21no—
1009C22×C4—21no—
1010C22×C4—21no—
1011C22×C4—21no—
1012C22×C4—21no—
1013C22×C4—21no—
1014C22×C4—21no—
1015C22×C4—21no—
1016C22×C4—21no—
1017C22×C4—21no—
1018C22×C4—21no—
1019C22×C4—21no—
1020C22×C4—21no—
1021C22×C4—21no—
1022C22×C4—21no—
1023C22×C4—21no—
1024C22×C4—21no—
1025C22×C4—21no—
1026C22×C4—21no—
1027C22×C4—21no—
1028C22×C4—21no—
1029C22×C4—21no—
1030C22×C4—21no—
1031C22×C4—21no—
1032C22×C4—21no—
1033C22×C4—21no—
1034C22×C4—21no—
1035C22×C4—21no—
1036C22×C4—21no—
1037C22×C4—21no—
1038C22×C4—21no—
1039C22×C4—42no—
1040C22×C4—42no—
1041C22×C4—42no—
1042C22×C4—42no—
1043C22×C4—42no—
1044C22×C4—42no—
1045C22×C4—42no—
1046C22×C4—81no—
1047C22×C4—81no—
1048C22×C4—81no—
1049C22×C4—81no—
1050C22×C4—81no—
1051C22×C4—81no—
1052C22×C4—81no—
1053C22×C4—81no—
1054C22×C4—81no—
1055C22×C4—81no—
1056C22×C4—81no—
1057C22×C4C22×D411yescharacteristic
1058C22×C4C22×D411yescharacteristic
1059C22×C4C22×D411yescharacteristic
1060C22×C4C22×D411yescharacteristic
1061C22×C4C22×D411yescharacteristic
1062C22×C4C22×D411yescharacteristic
1063C22×C4C22×D411yescharacteristic
1064C22×C4C22×D411yescharacteristic
1065C22×C4C22×D411yescharacteristic
1066C22×C4C22×D411yescharacteristic
1067C22×C4C2×#4112yes—
1068C22×C4H(5,𝔽2)12yes—
1069C22×C4C2511yescharacteristic
1070SD16—82no—
1071D8—82no—
1072D8—82no—
1073D8—82no—
1074M16—44no—
1075M16—82no—
1076M16—82no—
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—21no—
1095C2×C8—21no—
1096C2×C8—21no—
1097C2×C8—21no—
1098C2×C8—21no—
1099C2×C8—21no—
1100C2×C8—82no—
1101C2×C8—82no—
1102C2×C8H(5,𝔽2)12yes—
1103C4⋊C4—22no—
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—21no—
1113C4⋊C4—21no—
1114C4⋊C4—21no—
1115C4⋊C4—21no—
1116C4⋊C4—21no—
1117C4⋊C4—21no—
1118C4⋊C4—21no—
1119C4⋊C4—21no—
1120C4⋊C4—21no—
1121C4⋊C4—21no—
1122C4⋊C4—21no—
1123C4⋊C4—21no—
1124C4⋊C4—41no—
1125C4⋊C4—41no—
1126C4⋊C4—42no—
1127C4⋊C4—42no—
1128C4⋊C4—42no—
1129C4⋊C4—42no—
1130C4⋊C4—42no—
1131C4⋊C4—42no—
1132C4⋊C4—42no—
1133C4⋊C4—81no—
1134C4⋊C4—81no—
1135C4⋊C4—81no—
1136C4⋊C4—81no—
1137C4⋊C4—81no—
1138C4⋊C4—81no—
1139C4⋊C4—81no—
1140C4⋊C4—81no—
1141C4⋊C4C2×#4112yes—
1142C4⋊C4H(5,𝔽2)12yes—
1143C22⋊C4—24no—
1144C22⋊C4—22no—
1145C22⋊C4—24no—
1146C22⋊C4—22no—
1147C22⋊C4—41no—
1148C22⋊C4—41no—
1149C22⋊C4—41no—
1150C22⋊C4—41no—
1151C22⋊C4—41no—
1152C22⋊C4—41no—
1153C22⋊C4—41no—
1154C22⋊C4—41no—
1155C22⋊C4—41no—
1156C22⋊C4—41no—
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—42no—
1171C22⋊C4—42no—
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—
1194C22⋊C4—81no—
1195C22⋊C4—81no—
1196C22⋊C4—81no—
1197C22⋊C4—81no—
1198C22⋊C4—81no—
1199C42—21no—
1200C42—21no—
1201C42—21no—
1202C42—21no—
1203C42—21no—
1204C42—21no—
1205C42—42no—
1206C42—81no—
1207C42—81no—
1208C42—81no—
1209C42—81no—
1210C42—81no—
1211C23—21no—
1212C23—21no—
1213C23—21no—
1214C23—21no—
1215C23—21no—
1216C23—21no—
1217C23—21no—
1218C23—21no—
1219C23—21no—
1220C23—21no—
1221C23—21no—
1222C23—21no—
1223C23—21no—
1224C23—21no—
1225C23—21no—
1226C23—21no—
1227C23—21no—
1228C23—21no—
1229C23—22no—
1230C23—21no—
1231C23—21no—
1232C23—21no—
1233C23—22no—
1234C23—21no—
1235C23—21no—
1236C23—21no—
1237C23—21no—
1238C23—21no—
1239C23—21no—
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—41no—
1258C23—41no—
1259C23—41no—
1260C23—41no—
1261C23—41no—
1262C23—41no—
1263C23—41no—
1264C23—41no—
1265C23—41no—
1266C23—84no—
1267C23—84no—
1268C23—84no—
1269C23—84no—
1270C23—84no—
1271C23—162no—
1272C23—162no—
1273C23—162no—
1274C23—162no—
1275C23—162no—
1276C23—162no—
1277C23—162no—
1278C23—162no—
1279C23—162no—
1280C23#54612yes—
1281C23C23×D411yescharacteristic
1282Q8—41no—
1283Q8—41no—
1284Q8—41no—
1285Q8—41no—
1286Q8—82no—
1287D4—22no—
1288D4—22no—
1289D4—22no—
1290D4—22no—
1291D4—44no—
1292D4—41no—
1293D4—41no—
1294D4—41no—
1295D4—41no—
1296D4—41no—
1297D4—41no—
1298D4—41no—
1299D4—41no—
1300D4—41no—
1301D4—41no—
1302D4—41no—
1303D4—41no—
1304D4—82no—
1305D4—82no—
1306D4—82no—
1307D4—82no—
1308D4—84no—
1309D4—84no—
1310D4—82no—
1311D4—84no—
1312D4—84no—
1313D4—84no—
1314D4—84no—
1315D4—84no—
1316D4—84no—
1317D4—162no—
1318D4—162no—
1319D4—162no—
1320D4—162no—
1321D4—162no—
1322D4—162no—
1323D4—162no—
1324D4—162no—
1325C2×C4—21no—
1326C2×C4—21no—
1327C2×C4—22no—
1328C2×C4—22no—
1329C2×C4—22no—
1330C2×C4—22no—
1331C2×C4—21no—
1332C2×C4—21no—
1333C2×C4—21no—
1334C2×C4—21no—
1335C2×C4—21no—
1336C2×C4—21no—
1337C2×C4—21no—
1338C2×C4—21no—
1339C2×C4—21no—
1340C2×C4—21no—
1341C2×C4—21no—
1342C2×C4—21no—
1343C2×C4—21no—
1344C2×C4—21no—
1345C2×C4—21no—
1346C2×C4—22no—
1347C2×C4—21no—
1348C2×C4—21no—
1349C2×C4—21no—
1350C2×C4—21no—
1351C2×C4—21no—
1352C2×C4—22no—
1353C2×C4—21no—
1354C2×C4—21no—
1355C2×C4—21no—
1356C2×C4—21no—
1357C2×C4—21no—
1358C2×C4—21no—
1359C2×C4—21no—
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—41no—
1391C2×C4—41no—
1392C2×C4—41no—
1393C2×C4—41no—
1394C2×C4—41no—
1395C2×C4—41no—
1396C2×C4—41no—
1397C2×C4—41no—
1398C2×C4—41no—
1399C2×C4—41no—
1400C2×C4—41no—
1401C2×C4—41no—
1402C2×C4—41no—
1403C2×C4—41no—
1404C2×C4—41no—
1405C2×C4—41no—
1406C2×C4—84no—
1407C2×C4—84no—
1408C2×C4—162no—
1409C2×C4—162no—
1410C2×C4—162no—
1411C2×C4—162no—
1412C2×C4#54612yes—
1413C2×C4C22×#4111yescharacteristic
1414C2×C4C2×H(5,𝔽2)11yescharacteristic
1415C2×C4C2×H(5,𝔽2)11yescharacteristic
1416C2×C4C2×H(5,𝔽2)11yescharacteristic
1417C2×C4C2×H(5,𝔽2)11yescharacteristic
1418C2×C4#58511yescharacteristic
1419C8—22no—
1420C8—41no—
1421C8—41no—
1422C8—41no—
1423C8—41no—
1424C8—41no—
1425C8—41no—
1426C8—41no—
1427C22—22no—
1428C22—22no—
1429C22—22no—
1430C22—41no—
1431C22—41no—
1432C22—41no—
1433C22—41no—
1434C22—41no—
1435C22—41no—
1436C22—41no—
1437C22—42no—
1438C22—42no—
1439C22—41no—
1440C22—41no—
1441C22—42no—
1442C22—41no—
1443C22—42no—
1444C22—41no—
1445C22—41no—
1446C22—41no—
1447C22—41no—
1448C22—41no—
1449C22—41no—
1450C22—41no—
1451C22—41no—
1452C22—41no—
1453C22—41no—
1454C22—41no—
1455C22—42no—
1456C22—41no—
1457C22—41no—
1458C22—41no—
1459C22—42no—
1460C22—41no—
1461C22—81no—
1462C22—81no—
1463C22—81no—
1464C22—81no—
1465C22—81no—
1466C22—81no—
1467C22—81no—
1468C22—81no—
1469C22—81no—
1470C22—81no—
1471C22—81no—
1472C22—81no—
1473C22—81no—
1474C22—81no—
1475C22—81no—
1476C22—81no—
1477C22—81no—
1478C22—81no—
1479C22—81no—
1480C22—81no—
1481C22—81no—
1482C22—81no—
1483C22—168no—
1484C22—168no—
1485C22C2×#54611yescharacteristic
1486C22#348411yescharacteristic
1487C22#349611yescharacteristic
1488C22#358411yescharacteristic
1489C22#358511yescharacteristic
1490C22#358511yescharacteristic
1491C22#358511yescharacteristic
1492C4—22no—
1493C4—41no—
1494C4—41no—
1495C4—41no—
1496C4—41no—
1497C4—41no—
1498C4—42no—
1499C4—41no—
1500C4—41no—
1501C4—41no—
1502C4—42no—
1503C4—41no—
1504C4—81no—
1505C4—81no—
1506C4—81no—
1507C4—81no—
1508C4—81no—
1509C4—81no—
1510C4—81no—
1511C4—81no—
1512C4—81no—
1513C4—81no—
1514C4#351411yescharacteristic
1515C4#351911yescharacteristic
1516C4#353411yescharacteristic
1517C4#353711yescharacteristic
1518C2—42no—
1519C2—81no—
1520C2—81no—
1521C2—81no—
1522C2—82no—
1523C2—82no—
1524C2—161no—
1525C2—161no—
1526C2#4301911yescharacteristic
1527C2#6119511yescharacteristic
1528C2#6121811yescharacteristic
1529C2#6164311yescharacteristic
1530C2#6169011yescharacteristic
1531C2#6229011yescharacteristic
1532C2#6235111yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ #2388 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #44868C2semidirect
2. #42462C2semidirect
3. #32040C2semidirect
4. #31735C2semidirect
5. #31499C2semidirect
6. #31337C2semidirect
7. #31306C2semidirect
8. #30992C2semidirect
9. #30907C2semidirect
10. #30412C2semidirect
11. #29067C2semidirect
12. #28916C2semidirect
13. #28100C2semidirect
14. #27263C2semidirect
15. #27039C2semidirect
16. #26685C2semidirect
17. #26366C2semidirect
18. #26212C2semidirect
19. #25891C2semidirect
20. #25401C2semidirect
21. #25106C2semidirect
22. #24792C2semidirect
23. #24440C2semidirect
24. #24428C2semidirect
25. #24397C2semidirect
26. #24390C2semidirect
27. #23485C2semidirect
28. #23132C2semidirect
29. #22849C2semidirect
30. #22427C2semidirect
31. #21770C2semidirect
39. C2×#469C22semidirect
40. C2×#469C22semidirect
42. C2×#465C22semidirect
43. C2×#463C22semidirect
44. C2×#449C22semidirect
47. C2×#436C22semidirect
48. C2×#435C22semidirect
49. C2×#428C22semidirect
50. C2×#417C22semidirect
52. C2×#416C22semidirect
53. C2×#408C22semidirect
54. C2×#408C22semidirect
66. #2615C22semidirect
69. #2537C22semidirect
70. #2496C22semidirect
71. #2494C22semidirect
72. #2490C22semidirect
73. #2485C22semidirect
76. #2441C22semidirect
82. #2420C22semidirect
86. #2414C22semidirect
93. #2361C22semidirect
94. #2352C22semidirect
95. #2311C22semidirect
96. #2101C22semidirect
98. #2088C22semidirect
99. #2077C22semidirect
100. #2073C22semidirect
101. #2071C22semidirect
103. #2067C22semidirect
104. #2065C22semidirect
105. #2065C22semidirect
106. #2059C22semidirect
107. #2055C22semidirect
109. #2042C22semidirect
110. #2042C22semidirect
112. #2036C22semidirect
113. #2036C22semidirect
114. #2036C22semidirect
115. #2035C22semidirect
116. #2035C22semidirect
117. #2035C22semidirect
122. #2034C22semidirect
123. #2034C22semidirect
126. #2033C22semidirect
127. #2033C22semidirect
128. #2026C22semidirect
131. #2000C22semidirect
132. #2000C22semidirect
135. #1999C22semidirect
138. #1970C22semidirect
139. #1959C22semidirect
142. #1948C22semidirect
143. #1941C22semidirect
145. #1936C22semidirect
146. #1936C22semidirect
147. #1935C22semidirect
148. #1927C22semidirect
149. #1926C22semidirect
150. #1924C22semidirect
151. #1923C22semidirect
152. #1921C22semidirect
153. #1921C22semidirect
154. #1920C22semidirect
155. #1918C22semidirect
158. #1895C22semidirect
159. #1894C22semidirect
160. #1894C22semidirect
162. #1893C22semidirect
163. #1893C22semidirect
164. #1893C22semidirect
167. #1879C22semidirect
168. #1879C22semidirect
171. #1875C22semidirect
172. #1875C22semidirect
174. #1874C22semidirect
175. #1874C22semidirect
176. #1873C22semidirect
178. #1870C22semidirect
179. #1869C22semidirect
181. #1862C22semidirect
182. #1854C22semidirect
183. #1853C22semidirect
184. #1851C22semidirect
185. #1850C22semidirect
186. #1825C22semidirect
187. #1825C22semidirect
188. #1825C22semidirect
189. #1809C22semidirect
190. #1804C22semidirect
191. #1788C22semidirect
198. #1762C22semidirect
199. C4×#102C22semidirect
200. #1753C22semidirect
201. #1752C22semidirect
202. C2×#340C22semidirect

Maximal subgroups

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

subgroupindex
#448682
#424622
#320402
#317352
#314992
#313372
#313062
#309922
#309072
#304122
#290672
#289162
#281002
#272632
#270392
#266852
#263662
#262122
#258912
#254012
#251062
#247922
#244402
#244282
#243972
#243902
#234852
#231322
#228492
#224272
#217702