Finite Group Databasebeta

← #7090377

Subgroups — #7090377

Order 512.

1814 conjugacy classes of subgroups.

The subgroup lattice has 1456 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#45140C211yesmaximal, characteristic, complemented
2#42900C211yesmaximal, characteristic, complemented
3#32657C211yesmaximal, characteristic, complemented
4#32620C211yesmaximal, characteristic, complemented
5#31946C211yesmaximal, characteristic, complemented
6#31298C211yesmaximal, characteristic, complemented
7#30987C211yesmaximal, characteristic, complemented
8#30580C211yesmaximal, characteristic, complemented
9#30464C211yesmaximal, characteristic, complemented
10#30422C211yesmaximal, characteristic, complemented
11#29507C211yesmaximal, characteristic, complemented
12#29505C211yesmaximal, characteristic, complemented
13#28857C211yesmaximal, characteristic, complemented
14#28357C211yesmaximal, characteristic, complemented
15#26983C211yesmaximal, characteristic, complemented
16#26970C211yesmaximal, characteristic, complemented
17#26631C211yesmaximal, characteristic, complemented
18#25796C211yesmaximal, characteristic, complemented
19#25635C211yesmaximal, characteristic, complemented
20#25429C211yesmaximal, characteristic, complemented
21#25167C211yesmaximal, characteristic, complemented
22#25152C211yesmaximal, characteristic, complemented
23#24921C211yesmaximal, characteristic, complemented
24#24448C211yesmaximal, characteristic, complemented
25#24206C211yesmaximal, characteristic, complemented
26#23860C211yesmaximal, characteristic
27#23811C211yesmaximal, characteristic, complemented
28#23276C211yesmaximal, characteristic, complemented
29#22864C211yesmaximal, characteristic, complemented
30#22443C211yesmaximal, characteristic, complemented
31#22278C211yesmaximal, characteristic, complemented
32C22×AGL(1,ℤ/8)C2211yescharacteristic
33C2×#559C2211yescharacteristic
34C2×D42C2211yescharacteristic
35C2×#497C2211yescharacteristic
36C2×#495C2211yescharacteristic, complemented
37C2×#485C2211yescharacteristic, complemented
38C2×#470C2211yescharacteristic, complemented
39C2×#468C2211yescharacteristic
40C2×#468C2211yescharacteristic, complemented
41C2×#464C2211yescharacteristic, complemented
42C2×#463C2211yescharacteristic, complemented
43C2×#452C2211yescharacteristic, complemented
44C2×#449C2211yescharacteristic
45C2×#450C2211yescharacteristic
46C2×#450C2211yescharacteristic
47C2×#450C2211yescharacteristic
48C2×#447C2211yescharacteristic
49C2×#440C2211yescharacteristic, complemented
50C2×#440C2211yescharacteristic, complemented
51C2×#440C2211yescharacteristic, complemented
52C2×C4×SD16C2211yescharacteristic, complemented
53C2×C4×SD16C2211yescharacteristic, complemented
54C2×#418C2211yescharacteristic
55#2829—21no—
56#2808—21no—
57#2803—21no—
58#2787—21no—
59#2786—21no—
60#2708—21no—
61#2708—21no—
62#2684—21no—
63#2684—21no—
64#2653—21no—
65#2651—21no—
66#2644C2211yescharacteristic, complemented
67#2592C2211yescharacteristic, complemented
68#2587—21no—
69#2582C2211yescharacteristic, complemented
70#2580C2211yescharacteristic
71#2536C2211yescharacteristic
72#2500C2211yescharacteristic, complemented
73#2494C2211yescharacteristic, complemented
74#2435C2211yescharacteristic
75#2435C2211yescharacteristic
76#2432C2211yescharacteristic, complemented
77#2429C2211yescharacteristic, complemented
78#2427C2211yescharacteristic
79#2427C2211yescharacteristic
80#2426C2211yescharacteristic, complemented
81#2423C2211yescharacteristic, complemented
82#2422C2211yescharacteristic
83#2422C2211yescharacteristic
84#2418—21no—
85#2418—21no—
86#2415C2211yescharacteristic
87#2407C2211yescharacteristic
88#2405—21no—
89#2405—21no—
90#2398C2211yescharacteristic
91#2362C2211yescharacteristic, complemented
92#2341C2211yescharacteristic, complemented
93D4×C22⋊C4C2211yescharacteristic
94D4×C22⋊C4C2211yescharacteristic
95#2328C2211yescharacteristic
96#2327C2211yescharacteristic, complemented
97#2326C2211yescharacteristic
98#2097C2211yescharacteristic, complemented
99#2097C2211yescharacteristic, complemented
100#2093C2211yescharacteristic
101#2092C2211yescharacteristic, complemented
102#2092C2211yescharacteristic, complemented
103#2085C2211yescharacteristic, complemented
104#2084C2211yescharacteristic, complemented
105#2083C2211yescharacteristic, complemented
106#2076C2211yescharacteristic, complemented
107#2073C2211yescharacteristic, complemented
108#2071C2211yescharacteristic, complemented
109#2068C2211yescharacteristic, complemented
110#2067C2211yescharacteristic, complemented
111#2065C2211yescharacteristic
112#2055C2211yescharacteristic
113#2042C2211yescharacteristic
114#2042C2211yescharacteristic, complemented
115#2042C2211yescharacteristic, complemented
116#2041C2211yescharacteristic
117#2036C2211yescharacteristic, complemented
118#2036C2211yescharacteristic, complemented
119#2036C2211yescharacteristic, complemented
120#2035C2211yescharacteristic, complemented
121#2034C2211yescharacteristic, complemented
122#2033C2211yescharacteristic
123#2015C2211yescharacteristic, complemented
124#2015C2211yescharacteristic, complemented
125#2014C2211yescharacteristic
126#2014C2211yescharacteristic
127#2013C2211yescharacteristic, complemented
128#2013C2211yescharacteristic, complemented
129#2012C2211yescharacteristic
130#2012C2211yescharacteristic
131#2012C2211yescharacteristic, complemented
132#2011C2211yescharacteristic
133#2001C2211yescharacteristic, complemented
134#2001C2211yescharacteristic, complemented
135#2000C2211yescharacteristic
136#2000C2211yescharacteristic
137#1999C2211yescharacteristic
138#1985C2211yescharacteristic, complemented
139#1984C2211yescharacteristic, complemented
140#1983C2211yescharacteristic, complemented
141#1973C2211yescharacteristic, complemented
142#1972C2211yescharacteristic
143#1972C2211yescharacteristic, complemented
144#1970C2211yescharacteristic
145#1970C2211yescharacteristic, complemented
146#1968C2211yescharacteristic
147#1959C2211yescharacteristic, complemented
148#1958C2211yescharacteristic
149#1956C2211yescharacteristic, complemented
150#1942C2211yescharacteristic, complemented
151#1936C2211yescharacteristic
152#1936C2211yescharacteristic, complemented
153#1935C2211yescharacteristic, complemented
154#1934C2211yescharacteristic, complemented
155#1933C2211yescharacteristic, complemented
156#1925C2211yescharacteristic
157#1924C2211yescharacteristic, complemented
158#1924C2211yescharacteristic, complemented
159#1923C2211yescharacteristic, complemented
160#1923C2211yescharacteristic, complemented
161#1919C2211yescharacteristic, complemented
162#1895C2211yescharacteristic
163#1894C2211yescharacteristic, complemented
164#1880C2211yescharacteristic
165#1880C2211yescharacteristic
166#1880C2211yescharacteristic
167#1880C2211yescharacteristic, complemented
168#1879C2211yescharacteristic
169#1879C2211yescharacteristic, complemented
170#1879C2211yescharacteristic, complemented
171#1879C2211yescharacteristic, complemented
172#1878C2211yescharacteristic, complemented
173#1878C2211yescharacteristic, complemented
174#1878C2211yescharacteristic, complemented
175#1878C2211yescharacteristic, complemented
176#1877C2211yescharacteristic
177#1877C2211yescharacteristic
178#1877C2211yescharacteristic, complemented
179#1877C2211yescharacteristic, complemented
180#1875C2211yescharacteristic
181#1870C2211yescharacteristic
182#1870C2211yescharacteristic
183#1864C2211yescharacteristic, complemented
184#1863C2211yescharacteristic, complemented
185#1863C2211yescharacteristic, complemented
186#1862C2211yescharacteristic
187#1862C2211yescharacteristic, complemented
188#1862C2211yescharacteristic, complemented
189#1854C2211yescharacteristic, complemented
190#1836C2211yescharacteristic, complemented
191#1809C2211yescharacteristic, complemented
192#1802C2211yescharacteristic, complemented
193#1788C2211yescharacteristic, complemented
194#1786C2211yescharacteristic
195#1786C2211yescharacteristic
196C4×#102C2211yescharacteristic, complemented
197#1753C2211yescharacteristic, complemented
198#1753C2211yescharacteristic, complemented
199#1753C2211yescharacteristic, complemented
200#1753C2211yescharacteristic, complemented
201#1746C2211yescharacteristic, complemented
202#1746C2211yescharacteristic, complemented
203C22×#41C2311yescharacteristic
204C23×D4—21no—
205C23×D4C2311yescharacteristic
206C23×D4C2311yescharacteristic
207C2×AGL(1,ℤ/8)—24no—
208C2×AGL(1,ℤ/8)—42no—
209C2×AGL(1,ℤ/8)—42no—
210C22×Q16C2311yescharacteristic
211C22×Q16C2311yescharacteristic
212C22×SD16C2311yescharacteristic
213C22×SD16C2311yescharacteristic
214C22×SD16C2311yescharacteristic
215C22×SD16C2311yescharacteristic
216C22×SD16C2311yescharacteristic
217C22×SD16C2311yescharacteristic
218C22×SD16C2311yescharacteristic
219C22×D8C2311yescharacteristic
220C22×D8C2311yescharacteristic
221C22×D8C2311yescharacteristic
222C22×M16C2311yescharacteristic
223C22×M16C2311yescharacteristic
224#559—42no—
225#559—42no—
226D42—42no—
227D42—42no—
228C2×C4⋊Q8C2311yescharacteristic
229C2×#127C2311yescharacteristic
230C2×#124—21no—
231C2×#124C2311yescharacteristic
232C2×#124C2311yescharacteristic
233C2×#124C2311yescharacteristic
234C2×#124C2311yescharacteristic
235C2×#123—21no—
236C2×#123—21no—
237C2×#123—21no—
238C2×#123—21no—
239C2×C22⋊Q8C2311yescharacteristic
240C2×C22⋊Q8C2311yescharacteristic
241C2×C22⋊Q8C2311yescharacteristic
242C2×C22⋊Q8C2311yescharacteristic
243C2×C22⋊Q8C2311yescharacteristic
244C2×#121—21no—
245C2×#121C2311yescharacteristic
246C2×#121C2311yescharacteristic
247C2×#121C2311yescharacteristic
248C2×#120—21no—
249C2×#120—21no—
250C2×C4×Q8C2311yescharacteristic
251C2×C4×Q8C2311yescharacteristic
252C2×C4×Q8C2311yescharacteristic
253C2×C4×Q8C2311yescharacteristic
254C2×C4×Q8C2311yescharacteristic
255C2×C4×D4—21no—
256C2×C4×D4C2311yescharacteristic
257C2×C4×D4C2311yescharacteristic
258C2×C4×D4C2311yescharacteristic
259C2×C4×D4C2311yescharacteristic
260C2×C4×D4C2311yescharacteristic
261C2×C4×D4C2311yescharacteristic
262C2×#117C2311yescharacteristic
263C22×C22⋊C4—21no—
264C22×C22⋊C4—21no—
265#497—24no—
266#495—42no—
267#485—42no—
268#470—42no—
269#468—42no—
270#468—42no—
271#464—42no—
272#463—42no—
273#452—42no—
274#450—24no—
275#450—42no—
276#450—42no—
277#449—42no—
278#447—42no—
279#440—42no—
280#440—42no—
281#440—42no—
282C4×SD16—42no—
283C4×SD16—42no—
284C2×#107C2311yescharacteristic
285C2×#107C2311yescharacteristic
286C2×#107C2311yescharacteristic
287C2×#107C2311yescharacteristic
288C2×#107C2311yescharacteristic
289C2×#106C2311yescharacteristic
290C2×#106C2311yescharacteristic
291C2×#106C2311yescharacteristic
292C2×C4⋊C8C2311yescharacteristic
293C2×C4⋊C8C2311yescharacteristic
294#418—42no—
295C2×#103C2311yescharacteristic
296C2×#103C2311yescharacteristic
297C2×#103C2311yescharacteristic
298C2×#103C2311yescharacteristic
299C2×#103C2311yescharacteristic
300C2×#103C2311yescharacteristic
301C2×#103C2311yescharacteristic
302C2×#103C2311yescharacteristic
303C2×#103C2311yescharacteristic
304C2×#103C2311yescharacteristic
305C2×#103C2311yescharacteristic
306C2×#103C2311yescharacteristic
307C2×#103C2311yescharacteristic
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×C22⋊C8C2311yescharacteristic
328C2×C22⋊C8C2311yescharacteristic
329C2×C22⋊C8C2311yescharacteristic
330C2×C22⋊C8C2311yescharacteristic
331C2×C22⋊C8C2311yescharacteristic
332C2×C22⋊C8C2311yescharacteristic
333C2×#97C2311yescharacteristic
334C2×#97C2311yescharacteristic
335C2×#97C2311yescharacteristic
336C2×C4×C8C2311yescharacteristic
337C2×C4×C8C2311yescharacteristic
338C2×C4×C8C2311yescharacteristic
339#401—21no—
340#400D411yescharacteristic
341#400D411yescharacteristic
342#399—21no—
343#399—21no—
344#398—21no—
345#398—21no—
346#398—21no—
347#398—21no—
348#398—21no—
349#397—21no—
350#397—21no—
351#397—21no—
352#397—21no—
353#397—21no—
354#397—21no—
355#397—21no—
356#397—21no—
357#397—21no—
358#397—21no—
359#397D411yescharacteristic
360#397D411yescharacteristic
361#396—21no—
362#396—21no—
363#396—21no—
364#394—21no—
365#394—21no—
366#394—21no—
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#394D411yescharacteristic
381#394D411yescharacteristic
382#393—21no—
383#393—21no—
384#393D411yescharacteristic
385#393D411yescharacteristic
386#392—21no—
387#391—21no—
388#391C2311yescharacteristic
389#391C2311yescharacteristic
390#391C2311yescharacteristic
391#391C2311yescharacteristic
392#391C2311yescharacteristic
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#389—21no—
406#389—21no—
407#389—21no—
408#389C2311yescharacteristic
409#389C2311yescharacteristic
410#389C2311yescharacteristic
411#389C2311yescharacteristic
412#389C2311yescharacteristic
413#389C2311yescharacteristic
414#388—21no—
415#388—21no—
416#388—21no—
417#388—21no—
418#388—21no—
419#388—21no—
420#388—21no—
421#388—21no—
422#388—21no—
423#388—21no—
424#388—21no—
425#388—21no—
426#388—21no—
427#388—21no—
428#388—21no—
429#387—21no—
430#387—21no—
431#387—21no—
432#387—21no—
433#387—21no—
434#387—21no—
435#387—21no—
436#386—21no—
437#386—21no—
438#386—21no—
439#386—21no—
440#386—21no—
441#386—21no—
442#386—21no—
443#386—21no—
444#386—21no—
445#386—21no—
446#386—21no—
447#385—21no—
448#385—21no—
449#385—21no—
450#385—21no—
451#385—21no—
452#385—21no—
453#385—21no—
454#385—21no—
455#385—21no—
456#384C2311yescharacteristic
457#384C2311yescharacteristic
458#382C2311yescharacteristic
459#382C2311yescharacteristic
460#380—21no—
461#380—21no—
462#380—21no—
463#380C2311yescharacteristic
464#380C2311yescharacteristic
465#380C2311yescharacteristic
466#380C2311yescharacteristic
467#379—21no—
468#379—21no—
469#379—21no—
470#379—21no—
471#379—21no—
472#379—21no—
473C4×C4⋊C4—21no—
474C4×C4⋊C4C2311yescharacteristic
475C4×C22⋊C4—21no—
476C4×C22⋊C4C2311yescharacteristic
477C4×C22⋊C4C2311yescharacteristic
478C4×C22⋊C4C2311yescharacteristic
479C4×C22⋊C4C2311yescharacteristic
480#376C2311yescharacteristic
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#336C2311yescharacteristic
494#336C2311yescharacteristic
495#336C2311yescharacteristic
496#336C2311yescharacteristic
497#336C2311yescharacteristic
498#336C2311yescharacteristic
499#336C2311yescharacteristic
500#336C2311yescharacteristic
501#336C2311yescharacteristic
502#336C2311yescharacteristic
503#336C2311yescharacteristic
504#336C2311yescharacteristic
505C25—21no—
506C25—21no—
507C2×#41—22no—
508C2×#41—41no—
509C2×#41—41no—
510C2×#41—41no—
511C2×#41—41no—
512C2×#41—41no—
513C22×Q8C2×D411yescharacteristic
514C22×Q8C2411yescharacteristic
515C22×Q8C2411yescharacteristic
516C22×Q8C2411yescharacteristic
517C22×D4—22no—
518C22×D4—22no—
519C22×D4—22no—
520C22×D4—22no—
521C22×D4—21no—
522C22×D4—21no—
523C22×D4—21no—
524C22×D4—21no—
525C22×D4—21no—
526C22×D4—21no—
527C22×D4—21no—
528C22×D4—21no—
529C22×D4—41no—
530C22×D4—41no—
531C22×D4—41no—
532C22×D4—41no—
533C22×D4—41no—
534C22×D4—41no—
535C22×D4—41no—
536C22×D4—41no—
537C22×D4—44no—
538C22×D4—82no—
539C22×D4—82no—
540C22×D4C2×D411yescharacteristic
541C22×D4C2411yescharacteristic
542C22×D4C2411yescharacteristic
543C22×D4C2411yescharacteristic
544C22×D4C2411yescharacteristic
545C23×C4—21no—
546C23×C4—21no—
547C23×C4—21no—
548C23×C4—21no—
549C23×C4—21no—
550C23×C4—21no—
551C23×C4C2411yescharacteristic
552C23×C4C2411yescharacteristic
553AGL(1,ℤ/8)—416no—
554C2×Q16—22no—
555C2×Q16—22no—
556C2×Q16—41no—
557C2×Q16—41no—
558C2×Q16—41no—
559C2×Q16—41no—
560C2×SD16—22no—
561C2×SD16—22no—
562C2×SD16—22no—
563C2×SD16—22no—
564C2×SD16—22no—
565C2×SD16—22no—
566C2×SD16—22no—
567C2×SD16—22no—
568C2×SD16—22no—
569C2×SD16—22no—
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#4114yes—
581C2×D8—22no—
582C2×D8—22no—
583C2×D8—22no—
584C2×D8—22no—
585C2×D8—22no—
586C2×D8—41no—
587C2×D8—41no—
588C2×D8—41no—
589C2×D8—41no—
590C2×M16—22no—
591C2×M16—22no—
592C2×M16—22no—
593C2×M16—41no—
594C2×M16—41no—
595C2×M16—41no—
596C22×C8C2411yescharacteristic
597C22×C8C2411yescharacteristic
598C22×C8C2411yescharacteristic
599C22×C8C2411yescharacteristic
600C22×C8C2411yescharacteristic
601C22×C8C2411yescharacteristic
602C22×C8C2411yescharacteristic
603C22×C8C2411yescharacteristic
604C4⋊Q8—22no—
605C4⋊Q8—41no—
606#127—22no—
607#127—22no—
608#124—22no—
609#124—22no—
610#124—22no—
611#124—41no—
612#124—41no—
613#124—41no—
614#124—41no—
615#124—41no—
616#124—44no—
617#123—44no—
618#123—44no—
619#123—82no—
620#123—82no—
621C22⋊Q8—22no—
622C22⋊Q8—41no—
623C22⋊Q8—41no—
624C22⋊Q8—41no—
625C22⋊Q8—41no—
626C22⋊Q8—41no—
627C22⋊Q8—41no—
628C22⋊Q8—41no—
629C22⋊Q8—41no—
630C22⋊Q8—41no—
631#121—22no—
632#121—22no—
633#121—41no—
634#121—41no—
635#121—44no—
636#121—41no—
637#121—41no—
638#120—44no—
639#120—44no—
640C4×Q8—41no—
641C4×Q8—41no—
642C4×Q8—41no—
643C4×Q8—41no—
644C4×Q8—41no—
645C4×Q8—41no—
646C4×Q8—41no—
647C4×Q8—41no—
648C4×Q8—41no—
649C4×Q8—41no—
650C4×D4—22no—
651C4×D4—22no—
652C4×D4—41no—
653C4×D4—41no—
654C4×D4—41no—
655C4×D4—41no—
656C4×D4—41no—
657C4×D4—41no—
658C4×D4—41no—
659C4×D4—41no—
660C4×D4—41no—
661C4×D4—41no—
662C4×D4—44no—
663#117—41no—
664#117—41no—
665C2×C4⋊C4—21no—
666C2×C4⋊C4—21no—
667C2×C4⋊C4—21no—
668C2×C4⋊C4—21no—
669C2×C4⋊C4—21no—
670C2×C4⋊C4—21no—
671C2×C4⋊C4—21no—
672C2×C4⋊C4—21no—
673C2×C4⋊C4—21no—
674C2×C4⋊C4—21no—
675C2×C4⋊C4—21no—
676C2×C4⋊C4—21no—
677C2×C4⋊C4—21no—
678C2×C4⋊C4—21no—
679C2×C4⋊C4—21no—
680C2×C4⋊C4—21no—
681C2×C4⋊C4—21no—
682C2×C4⋊C4—21no—
683C2×C4⋊C4—21no—
684C2×C4⋊C4—21no—
685C2×C4⋊C4—21no—
686C2×C4⋊C4C2×D411yescharacteristic
687C2×C4⋊C4C2×D411yescharacteristic
688C2×C4⋊C4C2×D411yescharacteristic
689C2×C4⋊C4C2×D411yescharacteristic
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×C22⋊C4—21no—
700C2×C22⋊C4—21no—
701C2×C22⋊C4—21no—
702C2×C22⋊C4—21no—
703C2×C22⋊C4—21no—
704C2×C22⋊C4—21no—
705C2×C22⋊C4—21no—
706C2×C22⋊C4—21no—
707C2×C22⋊C4—21no—
708C2×C22⋊C4—21no—
709C2×C22⋊C4—21no—
710C2×C22⋊C4—21no—
711C2×C22⋊C4—21no—
712C2×C22⋊C4—21no—
713C2×C22⋊C4—21no—
714C2×C22⋊C4—21no—
715C2×C22⋊C4—21no—
716C2×C22⋊C4—21no—
717C2×C22⋊C4—21no—
718C2×C22⋊C4—21no—
719C2×C22⋊C4—21no—
720C2×C22⋊C4—21no—
721C2×C22⋊C4—21no—
722C2×C22⋊C4—21no—
723C2×C22⋊C4—21no—
724C2×C22⋊C4—21no—
725C2×C22⋊C4—21no—
726C2×C22⋊C4—21no—
727C2×C22⋊C4—21no—
728C2×C22⋊C4—21no—
729C2×C22⋊C4—21no—
730C2×C22⋊C4—21no—
731C2×C22⋊C4—21no—
732C2×C22⋊C4—21no—
733C2×C22⋊C4—21no—
734C2×C22⋊C4—21no—
735C2×C22⋊C4—21no—
736C2×C22⋊C4—21no—
737C2×C22⋊C4—21no—
738C2×C22⋊C4—21no—
739C2×C22⋊C4—21no—
740C2×C22⋊C4—21no—
741C2×C22⋊C4—21no—
742C2×C22⋊C4—21no—
743C2×C22⋊C4—82no—
744C2×C22⋊C4—82no—
745C2×C22⋊C4C2×D411yescharacteristic
746C2×C22⋊C4C2×D411yescharacteristic
747C2×C22⋊C4C2×D411yescharacteristic
748C2×C22⋊C4C2×D411yescharacteristic
749C2×C22⋊C4C2×D411yescharacteristic
750C2×C22⋊C4C2×D411yescharacteristic
751C2×C22⋊C4C2×D411yescharacteristic
752C2×C22⋊C4C2×D411yescharacteristic
753C2×C22⋊C4C2×D411yescharacteristic
754C2×C22⋊C4C2×D411yescharacteristic
755C2×C42—21no—
756C2×C42—21no—
757C2×C42—21no—
758C2×C42—21no—
759C2×C42—21no—
760C2×C42—21no—
761C2×C42C2411yescharacteristic
762C2×C42C2411yescharacteristic
763C2×C42C2411yescharacteristic
764C2×C42C2411yescharacteristic
765C2×C42C2411yescharacteristic
766#107—22no—
767#107—41no—
768#107—41no—
769#107—41no—
770#107—41no—
771#106—22no—
772#106—41no—
773#106—41no—
774C4⋊C8—41no—
775C4⋊C8—41no—
776#103—22no—
777#103—22no—
778#103—22no—
779#103—41no—
780#103—41no—
781#103—41no—
782#103—41no—
783#103—41no—
784#103—41no—
785#103—41no—
786#103—41no—
787#103—41no—
788#103—41no—
789#102—22no—
790#102—22no—
791#102—22no—
792#102—22no—
793#102—22no—
794#102—22no—
795#102—22no—
796#102—41no—
797#102—41no—
798#102—41no—
799#102—41no—
800#102—41no—
801#102—41no—
802#102—41no—
803#102—41no—
804#102—41no—
805#102—41no—
806#102—41no—
807#102—41no—
808C22⋊C8—22no—
809C22⋊C8—22no—
810C22⋊C8—22no—
811C22⋊C8—41no—
812C22⋊C8—41no—
813C22⋊C8—41no—
814#97—22no—
815#97—22no—
816#97—41no—
817C4×C8—22no—
818C4×C8—41no—
819C4×C8—41no—
820#95—21no—
821#95—21no—
822#95—21no—
823#95—21no—
824#95—21no—
825#95—21no—
826#95—21no—
827#95—21no—
828#95—21no—
829#95—21no—
830#95—21no—
831#95—21no—
832#95—21no—
833#95—21no—
834#95—21no—
835#95—21no—
836#95—21no—
837#95—21no—
838#95—21no—
839#95—21no—
840#95—21no—
841#95—21no—
842#95—21no—
843#95—21no—
844#95—21no—
845#95C2×D411yescharacteristic
846#95C2×D411yescharacteristic
847#95C2×D411yescharacteristic
848#95C2×D411yescharacteristic
849#95C2×D411yescharacteristic
850#95C2×D411yescharacteristic
851#95C2×D411yescharacteristic
852#95C2×D411yescharacteristic
853#95C2×D411yescharacteristic
854#95C2×D411yescharacteristic
855#95C2×D411yescharacteristic
856#95C2×D411yescharacteristic
857C24—21no—
858C24—21no—
859C24—21no—
860C24—21no—
861C24—42no—
862C24—42no—
863C24—42no—
864C24—42no—
865C24—42no—
866C24—42no—
867C24—81no—
868C24—81no—
869C24—81no—
870C24—81no—
871C24—81no—
872C24—81no—
873C24—81no—
874C24—81no—
875C24C22×D411yescharacteristic
876C24C22×D411yescharacteristic
877#41—44no—
878#41—82no—
879#41—82no—
880#41—82no—
881C2×Q8—21no—
882C2×Q8—21no—
883C2×Q8—21no—
884C2×Q8—21no—
885C2×Q8—21no—
886C2×Q8—21no—
887C2×Q8—21no—
888C2×Q8—21no—
889C2×Q8—21no—
890C2×Q8—21no—
891C2×Q8—21no—
892C2×Q8—21no—
893C2×Q8—21no—
894C2×Q8—21no—
895C2×Q8—21no—
896C2×Q8—21no—
897C2×Q8—21no—
898C2×Q8—41no—
899C2×Q8—41no—
900C2×Q8—41no—
901C2×Q8C2×#4112yes—
902C2×D4—24no—
903C2×D4—24no—
904C2×D4—21no—
905C2×D4—21no—
906C2×D4—21no—
907C2×D4—21no—
908C2×D4—21no—
909C2×D4—21no—
910C2×D4—21no—
911C2×D4—21no—
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—41no—
926C2×D4—41no—
927C2×D4—41no—
928C2×D4—42no—
929C2×D4—42no—
930C2×D4—42no—
931C2×D4—42no—
932C2×D4—42no—
933C2×D4—44no—
934C2×D4—44no—
935C2×D4—42no—
936C2×D4—42no—
937C2×D4—42no—
938C2×D4—42no—
939C2×D4—81no—
940C2×D4—81no—
941C2×D4—81no—
942C2×D4—81no—
943C2×D4—81no—
944C2×D4—81no—
945C2×D4—82no—
946C2×D4—82no—
947C2×D4—82no—
948C2×D4—82no—
949C2×D4—82no—
950C2×D4—82no—
951C2×D4—81no—
952C2×D4—81no—
953C2×D4—81no—
954C2×D4—81no—
955C2×D4—81no—
956C2×D4—81no—
957C2×D4—81no—
958C2×D4—816no—
959C2×D4C2×#4112yes—
960C2×D4H(5,𝔽2)12yes—
961C2×D4H(5,𝔽2)12yes—
962C22×C4—21no—
963C22×C4—21no—
964C22×C4—21no—
965C22×C4—21no—
966C22×C4—21no—
967C22×C4—21no—
968C22×C4—21no—
969C22×C4—21no—
970C22×C4—21no—
971C22×C4—21no—
972C22×C4—21no—
973C22×C4—21no—
974C22×C4—21no—
975C22×C4—21no—
976C22×C4—21no—
977C22×C4—21no—
978C22×C4—21no—
979C22×C4—21no—
980C22×C4—21no—
981C22×C4—21no—
982C22×C4—21no—
983C22×C4—21no—
984C22×C4—21no—
985C22×C4—21no—
986C22×C4—42no—
987C22×C4—42no—
988C22×C4—42no—
989C22×C4—42no—
990C22×C4—81no—
991C22×C4—81no—
992C22×C4—81no—
993C22×C4—81no—
994C22×C4—81no—
995C22×C4—81no—
996C22×C4—81no—
997C22×C4—81no—
998C22×C4—81no—
999C22×C4—81no—
1000C22×C4—81no—
1001C22×C4—81no—
1002C22×C4—81no—
1003C22×C4—81no—
1004C22×C4C22×D411yescharacteristic
1005C22×C4C22×D411yescharacteristic
1006C22×C4C22×D411yescharacteristic
1007C22×C4C22×D411yescharacteristic
1008C22×C4C22×D411yescharacteristic
1009C22×C4C22×D411yescharacteristic
1010C22×C4C22×D411yescharacteristic
1011C22×C4C22×D411yescharacteristic
1012C22×C4C22×D411yescharacteristic
1013C22×C4C22×D411yescharacteristic
1014C22×C4C22×D411yescharacteristic
1015C22×C4C22×D411yescharacteristic
1016C22×C4C2511yescharacteristic
1017Q16—82no—
1018Q16—82no—
1019SD16—28no—
1020SD16—44no—
1021SD16—44no—
1022SD16—44no—
1023SD16—44no—
1024SD16—82no—
1025SD16—82no—
1026D8—44no—
1027D8—44no—
1028D8—82no—
1029M16—44no—
1030M16—82no—
1031C2×C8—21no—
1032C2×C8—21no—
1033C2×C8—21no—
1034C2×C8—21no—
1035C2×C8—21no—
1036C2×C8—21no—
1037C2×C8—21no—
1038C2×C8—21no—
1039C2×C8—21no—
1040C2×C8—21no—
1041C2×C8—21no—
1042C2×C8—21no—
1043C2×C8—21no—
1044C2×C8—21no—
1045C2×C8—21no—
1046C2×C8—21no—
1047C2×C8—21no—
1048C2×C8—21no—
1049C2×C8—21no—
1050C2×C8—21no—
1051C2×C8—21no—
1052C2×C8C2×#4112yes—
1053C2×C8H(5,𝔽2)12yes—
1054C2×C8H(5,𝔽2)12yes—
1055C4⋊C4—21no—
1056C4⋊C4—21no—
1057C4⋊C4—21no—
1058C4⋊C4—21no—
1059C4⋊C4—21no—
1060C4⋊C4—21no—
1061C4⋊C4—21no—
1062C4⋊C4—21no—
1063C4⋊C4—21no—
1064C4⋊C4—21no—
1065C4⋊C4—21no—
1066C4⋊C4—21no—
1067C4⋊C4—21no—
1068C4⋊C4—21no—
1069C4⋊C4—21no—
1070C4⋊C4—21no—
1071C4⋊C4—21no—
1072C4⋊C4—21no—
1073C4⋊C4—41no—
1074C4⋊C4—41no—
1075C4⋊C4—41no—
1076C4⋊C4—41no—
1077C4⋊C4—42no—
1078C4⋊C4—42no—
1079C4⋊C4—42no—
1080C4⋊C4—42no—
1081C4⋊C4—81no—
1082C4⋊C4—81no—
1083C4⋊C4—81no—
1084C4⋊C4—81no—
1085C4⋊C4—81no—
1086C4⋊C4—81no—
1087C4⋊C4—81no—
1088C4⋊C4—81no—
1089C4⋊C4—81no—
1090C4⋊C4—81no—
1091C4⋊C4—81no—
1092C4⋊C4—81no—
1093C4⋊C4—81no—
1094C4⋊C4—81no—
1095C4⋊C4—81no—
1096C4⋊C4—81no—
1097C4⋊C4—81no—
1098C22⋊C4—41no—
1099C22⋊C4—41no—
1100C22⋊C4—41no—
1101C22⋊C4—41no—
1102C22⋊C4—41no—
1103C22⋊C4—41no—
1104C22⋊C4—41no—
1105C22⋊C4—41no—
1106C22⋊C4—41no—
1107C22⋊C4—41no—
1108C22⋊C4—42no—
1109C22⋊C4—42no—
1110C22⋊C4—42no—
1111C22⋊C4—42no—
1112C22⋊C4—42no—
1113C22⋊C4—42no—
1114C22⋊C4—42no—
1115C22⋊C4—42no—
1116C22⋊C4—42no—
1117C22⋊C4—42no—
1118C22⋊C4—42no—
1119C22⋊C4—42no—
1120C22⋊C4—42no—
1121C22⋊C4—42no—
1122C22⋊C4—42no—
1123C22⋊C4—81no—
1124C22⋊C4—81no—
1125C22⋊C4—81no—
1126C22⋊C4—81no—
1127C22⋊C4—81no—
1128C22⋊C4—81no—
1129C22⋊C4—81no—
1130C22⋊C4—81no—
1131C22⋊C4—81no—
1132C22⋊C4—81no—
1133C22⋊C4—81no—
1134C22⋊C4—81no—
1135C22⋊C4—81no—
1136C22⋊C4—81no—
1137C22⋊C4—81no—
1138C22⋊C4—81no—
1139C22⋊C4—81no—
1140C22⋊C4—81no—
1141C22⋊C4—81no—
1142C22⋊C4—81no—
1143C22⋊C4—81no—
1144C22⋊C4—81no—
1145C22⋊C4—81no—
1146C22⋊C4—81no—
1147C22⋊C4—81no—
1148C22⋊C4—81no—
1149C22⋊C4—81no—
1150C22⋊C4—81no—
1151C22⋊C4—81no—
1152C42—21no—
1153C42—21no—
1154C42—21no—
1155C42—21no—
1156C42—21no—
1157C42—21no—
1158C42—21no—
1159C42—21no—
1160C42—21no—
1161C42—21no—
1162C42—42no—
1163C42—81no—
1164C42—81no—
1165C42—81no—
1166C42—81no—
1167C42—81no—
1168C23—21no—
1169C23—21no—
1170C23—21no—
1171C23—21no—
1172C23—21no—
1173C23—21no—
1174C23—21no—
1175C23—21no—
1176C23—21no—
1177C23—22no—
1178C23—21no—
1179C23—22no—
1180C23—22no—
1181C23—21no—
1182C23—21no—
1183C23—21no—
1184C23—21no—
1185C23—41no—
1186C23—41no—
1187C23—41no—
1188C23—41no—
1189C23—41no—
1190C23—41no—
1191C23—41no—
1192C23—41no—
1193C23—41no—
1194C23—41no—
1195C23—41no—
1196C23—41no—
1197C23—41no—
1198C23—41no—
1199C23—41no—
1200C23—41no—
1201C23—41no—
1202C23—41no—
1203C23—41no—
1204C23—41no—
1205C23—41no—
1206C23—41no—
1207C23—41no—
1208C23—41no—
1209C23—41no—
1210C23—84no—
1211C23—84no—
1212C23—84no—
1213C23—84no—
1214C23—84no—
1215C23—84no—
1216C23—162no—
1217C23—162no—
1218C23—162no—
1219C23—162no—
1220C23—162no—
1221C23—162no—
1222C23—162no—
1223C23—162no—
1224C23C23×D411yescharacteristic
1225Q8—22no—
1226Q8—22no—
1227Q8—41no—
1228Q8—41no—
1229Q8—41no—
1230Q8—41no—
1231Q8—41no—
1232Q8—41no—
1233Q8—41no—
1234Q8—41no—
1235Q8—41no—
1236Q8—41no—
1237Q8—82no—
1238D4—22no—
1239D4—22no—
1240D4—22no—
1241D4—22no—
1242D4—22no—
1243D4—22no—
1244D4—44no—
1245D4—41no—
1246D4—41no—
1247D4—41no—
1248D4—41no—
1249D4—41no—
1250D4—41no—
1251D4—41no—
1252D4—41no—
1253D4—41no—
1254D4—41no—
1255D4—84no—
1256D4—84no—
1257D4—84no—
1258D4—84no—
1259D4—84no—
1260D4—84no—
1261D4—84no—
1262D4—162no—
1263C2×C4—21no—
1264C2×C4—21no—
1265C2×C4—21no—
1266C2×C4—21no—
1267C2×C4—21no—
1268C2×C4—21no—
1269C2×C4—21no—
1270C2×C4—21no—
1271C2×C4—21no—
1272C2×C4—21no—
1273C2×C4—21no—
1274C2×C4—21no—
1275C2×C4—21no—
1276C2×C4—21no—
1277C2×C4—21no—
1278C2×C4—21no—
1279C2×C4—21no—
1280C2×C4—21no—
1281C2×C4—21no—
1282C2×C4—21no—
1283C2×C4—21no—
1284C2×C4—21no—
1285C2×C4—22no—
1286C2×C4—21no—
1287C2×C4—21no—
1288C2×C4—21no—
1289C2×C4—21no—
1290C2×C4—21no—
1291C2×C4—21no—
1292C2×C4—21no—
1293C2×C4—21no—
1294C2×C4—21no—
1295C2×C4—21no—
1296C2×C4—21no—
1297C2×C4—21no—
1298C2×C4—21no—
1299C2×C4—21no—
1300C2×C4—41no—
1301C2×C4—41no—
1302C2×C4—41no—
1303C2×C4—41no—
1304C2×C4—41no—
1305C2×C4—41no—
1306C2×C4—41no—
1307C2×C4—41no—
1308C2×C4—41no—
1309C2×C4—41no—
1310C2×C4—41no—
1311C2×C4—41no—
1312C2×C4—41no—
1313C2×C4—41no—
1314C2×C4—41no—
1315C2×C4—41no—
1316C2×C4—41no—
1317C2×C4—41no—
1318C2×C4—41no—
1319C2×C4—41no—
1320C2×C4—41no—
1321C2×C4—41no—
1322C2×C4—41no—
1323C2×C4—41no—
1324C2×C4—41no—
1325C2×C4—41no—
1326C2×C4—41no—
1327C2×C4—41no—
1328C2×C4—41no—
1329C2×C4—41no—
1330C2×C4—41no—
1331C2×C4—41no—
1332C2×C4—41no—
1333C2×C4—41no—
1334C2×C4—41no—
1335C2×C4—41no—
1336C2×C4—41no—
1337C2×C4—41no—
1338C2×C4—41no—
1339C2×C4—41no—
1340C2×C4—41no—
1341C2×C4—41no—
1342C2×C4—41no—
1343C2×C4—84no—
1344C2×C4—84no—
1345C2×C4—162no—
1346C2×C4—162no—
1347C2×C4—162no—
1348C2×C4—162no—
1349C2×C4C22×#4111yescharacteristic
1350C2×C4C2×H(5,𝔽2)11yescharacteristic
1351C2×C4C2×H(5,𝔽2)11yescharacteristic
1352C2×C4C2×H(5,𝔽2)11yescharacteristic
1353C2×C4C2×H(5,𝔽2)11yescharacteristic
1354C2×C4#58511yescharacteristic
1355C8—22no—
1356C8—22no—
1357C8—22no—
1358C8—41no—
1359C8—41no—
1360C8—41no—
1361C8—41no—
1362C8—41no—
1363C22—41no—
1364C22—41no—
1365C22—41no—
1366C22—41no—
1367C22—42no—
1368C22—41no—
1369C22—41no—
1370C22—42no—
1371C22—42no—
1372C22—42no—
1373C22—41no—
1374C22—41no—
1375C22—41no—
1376C22—41no—
1377C22—42no—
1378C22—42no—
1379C22—42no—
1380C22—42no—
1381C22—42no—
1382C22—41no—
1383C22—41no—
1384C22—41no—
1385C22—41no—
1386C22—81no—
1387C22—81no—
1388C22—81no—
1389C22—81no—
1390C22—81no—
1391C22—81no—
1392C22—81no—
1393C22—81no—
1394C22—81no—
1395C22—81no—
1396C22—81no—
1397C22—81no—
1398C22—81no—
1399C22—81no—
1400C22—81no—
1401C22—81no—
1402C22—81no—
1403C22—81no—
1404C22—81no—
1405C22—168no—
1406C22—168no—
1407C22D4×#4111yescharacteristic
1408C22#348411yescharacteristic
1409C22#349811yescharacteristic
1410C22#358411yescharacteristic
1411C22#358511yescharacteristic
1412C22#358511yescharacteristic
1413C22#358611yescharacteristic
1414C4—41no—
1415C4—41no—
1416C4—41no—
1417C4—41no—
1418C4—41no—
1419C4—41no—
1420C4—41no—
1421C4—41no—
1422C4—42no—
1423C4—41no—
1424C4—41no—
1425C4—41no—
1426C4—41no—
1427C4—81no—
1428C4—81no—
1429C4—81no—
1430C4—81no—
1431C4—81no—
1432C4—81no—
1433C4—81no—
1434C4—81no—
1435C4—81no—
1436C4—81no—
1437C4—81no—
1438C4#349011yescharacteristic
1439C4#351911yescharacteristic
1440C4#353411yescharacteristic
1441C4#354211yescharacteristic
1442C2—81no—
1443C2—81no—
1444C2—82no—
1445C2—82no—
1446C2—82no—
1447C2—161no—
1448C2#4422811yescharacteristic
1449C2#6150311yescharacteristic
1450C2#6154711yescharacteristic
1451C2#6161311yescharacteristic
1452C2#6164311yescharacteristic
1453C2#6244511yescharacteristic
1454C2#6246811yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
prime radical#23860C2
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ #2398 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #45140C2semidirect
2. #42900C2semidirect
3. #32657C2semidirect
4. #32620C2semidirect
5. #31946C2semidirect
6. #31298C2semidirect
7. #30987C2semidirect
8. #30580C2semidirect
9. #30464C2semidirect
10. #30422C2semidirect
11. #29507C2semidirect
12. #29505C2semidirect
13. #28857C2semidirect
14. #28357C2semidirect
15. #26983C2semidirect
16. #26970C2semidirect
17. #26631C2semidirect
18. #25796C2semidirect
19. #25635C2semidirect
20. #25429C2semidirect
21. #25167C2semidirect
22. #25152C2semidirect
23. #24921C2semidirect
24. #24448C2semidirect
25. #24206C2semidirect
27. #23811C2semidirect
28. #23276C2semidirect
29. #22864C2semidirect
30. #22443C2semidirect
31. #22278C2semidirect
36. C2×#495C22semidirect
37. C2×#485C22semidirect
38. C2×#470C22semidirect
40. C2×#468C22semidirect
41. C2×#464C22semidirect
42. C2×#463C22semidirect
43. C2×#452C22semidirect
49. C2×#440C22semidirect
50. C2×#440C22semidirect
51. C2×#440C22semidirect
52. C2×C4×SD16C22semidirect
53. C2×C4×SD16C22semidirect
66. #2644C22semidirect
67. #2592C22semidirect
69. #2582C22semidirect
72. #2500C22semidirect
73. #2494C22semidirect
76. #2432C22semidirect
77. #2429C22semidirect
80. #2426C22semidirect
81. #2423C22semidirect
91. #2362C22semidirect
92. #2341C22semidirect
96. #2327C22semidirect
98. #2097C22semidirect
99. #2097C22semidirect
101. #2092C22semidirect
102. #2092C22semidirect
103. #2085C22semidirect
104. #2084C22semidirect
105. #2083C22semidirect
106. #2076C22semidirect
107. #2073C22semidirect
108. #2071C22semidirect
109. #2068C22semidirect
110. #2067C22semidirect
114. #2042C22semidirect
115. #2042C22semidirect
117. #2036C22semidirect
118. #2036C22semidirect
119. #2036C22semidirect
120. #2035C22semidirect
121. #2034C22semidirect
123. #2015C22semidirect
124. #2015C22semidirect
127. #2013C22semidirect
128. #2013C22semidirect
131. #2012C22semidirect
133. #2001C22semidirect
134. #2001C22semidirect
138. #1985C22semidirect
139. #1984C22semidirect
140. #1983C22semidirect
141. #1973C22semidirect
143. #1972C22semidirect
145. #1970C22semidirect
147. #1959C22semidirect
149. #1956C22semidirect
150. #1942C22semidirect
152. #1936C22semidirect
153. #1935C22semidirect
154. #1934C22semidirect
155. #1933C22semidirect
157. #1924C22semidirect
158. #1924C22semidirect
159. #1923C22semidirect
160. #1923C22semidirect
161. #1919C22semidirect
163. #1894C22semidirect
167. #1880C22semidirect
169. #1879C22semidirect
170. #1879C22semidirect
171. #1879C22semidirect
172. #1878C22semidirect
173. #1878C22semidirect
174. #1878C22semidirect
175. #1878C22semidirect
178. #1877C22semidirect
179. #1877C22semidirect
183. #1864C22semidirect
184. #1863C22semidirect
185. #1863C22semidirect
187. #1862C22semidirect
188. #1862C22semidirect
189. #1854C22semidirect
190. #1836C22semidirect
191. #1809C22semidirect
192. #1802C22semidirect
193. #1788C22semidirect
196. C4×#102C22semidirect
197. #1753C22semidirect
198. #1753C22semidirect
199. #1753C22semidirect
200. #1753C22semidirect
201. #1746C22semidirect
202. #1746C22semidirect

Maximal subgroups

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

subgroupindex
#451402
#429002
#326572
#326202
#319462
#312982
#309872
#305802
#304642
#304222
#295072
#295052
#288572
#283572
#269832
#269702
#266312
#257962
#256352
#254292
#251672
#251522
#249212
#244482
#242062
#238602
#238112
#232762
#228642
#224432
#222782