Finite Group Databasebeta

← #7336955

Subgroups — #7336955

Order 512.

1825 conjugacy classes of subgroups.

The subgroup lattice has 1509 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#53073C211yesmaximal, characteristic, complemented
2#44874C211yesmaximal, characteristic, complemented
3#32170C211yesmaximal, characteristic, complemented
4#31913C211yesmaximal, characteristic, complemented
5#31045C211yesmaximal, characteristic, complemented
6#30996C211yesmaximal, characteristic, complemented
7#30875C211yesmaximal, characteristic, complemented
8#30761C211yesmaximal, characteristic, complemented
9#30720C211yesmaximal, characteristic, complemented
10#30619C211yesmaximal, characteristic, complemented
11#30529C211yesmaximal, characteristic, complemented
12#30452C211yesmaximal, characteristic, complemented
13#30451C211yesmaximal, characteristic, complemented
14#30448C211yesmaximal, characteristic, complemented
15#29721C211yesmaximal, characteristic, complemented
16#29672C211yesmaximal, characteristic, complemented
17#29083C211yesmaximal, characteristic, complemented
18#28998C211yesmaximal, characteristic, complemented
19#28467C211yesmaximal, characteristic, complemented
20#28320C211yesmaximal, characteristic, complemented
21#27089C211yesmaximal, characteristic, complemented
22#26940C211yesmaximal, characteristic, complemented
23#26618C211yesmaximal, characteristic, complemented
24#25793C211yesmaximal, characteristic, complemented
25#25763C211yesmaximal, characteristic, complemented
26#25614C211yesmaximal, characteristic, complemented
27#25374C211yesmaximal, characteristic, complemented
28#24897C211yesmaximal, characteristic, complemented
29#24367C211yesmaximal, characteristic, complemented
30#23860C211yesmaximal, characteristic, complemented
31#22364C211yesmaximal, characteristic, complemented
32C22×AGL(1,ℤ/8)C2211yescharacteristic
33C2×D42C2211yescharacteristic
34C2×#542C2211yescharacteristic
35C2×#496C2211yescharacteristic
36C2×#496C2211yescharacteristic, complemented
37C2×#495C2211yescharacteristic
38C2×#495C2211yescharacteristic, complemented
39C2×#486C2211yescharacteristic, complemented
40C2×#485C2211yescharacteristic, complemented
41C2×#485C2211yescharacteristic, complemented
42C2×#468C2211yescharacteristic, complemented
43C2×#464C2211yescharacteristic
44C2×#462C2211yescharacteristic, complemented
45C2×#463C2211yescharacteristic
46C2×#463C2211yescharacteristic, complemented
47C2×#463C2211yescharacteristic, complemented
48C2×#461C2211yescharacteristic, complemented
49C2×#452C2211yescharacteristic, complemented
50C2×#449C2211yescharacteristic
51C2×#450C2211yescharacteristic
52C2×#450C2211yescharacteristic
53C2×#450C2211yescharacteristic
54C2×#447C2211yescharacteristic
55C2×#447C2211yescharacteristic
56C2×#447C2211yescharacteristic
57C2×C4×D8C2211yescharacteristic, complemented
58#2829—21no—
59#2828—21no—
60#2827—21no—
61#2825—21no—
62#2797—21no—
63#2756—21no—
64#2749—21no—
65#2746—21no—
66#2697—21no—
67#2685—21no—
68#2684—21no—
69#2681—21no—
70#2621C2211yescharacteristic, complemented
71#2619C2211yescharacteristic, complemented
72#2559—21no—
73#2545C2211yescharacteristic, complemented
74#2544C2211yescharacteristic
75#2544C2211yescharacteristic, complemented
76#2540C2211yescharacteristic
77#2514C2211yescharacteristic, complemented
78#2513C2211yescharacteristic, complemented
79#2491C2211yescharacteristic
80#2472—21no—
81#2452C2211yescharacteristic
82#2445C2211yescharacteristic
83#2435—21no—
84#2435C2211yescharacteristic
85#2435C2211yescharacteristic
86#2432C2211yescharacteristic, complemented
87#2431C2211yescharacteristic, complemented
88#2427C2211yescharacteristic, complemented
89#2426C2211yescharacteristic
90#2426C2211yescharacteristic, complemented
91#2421C2211yescharacteristic, complemented
92#2420C2211yescharacteristic, complemented
93#2415C2211yescharacteristic
94#2407C2211yescharacteristic
95#2405—21no—
96#2395C2211yescharacteristic
97#2367C2211yescharacteristic
98#2363C2211yescharacteristic
99D4×C22⋊C4C2211yescharacteristic
100#2309C2211yescharacteristic
101#2092C2211yescharacteristic
102#2092C2211yescharacteristic, complemented
103#2086C2211yescharacteristic, complemented
104#2076C2211yescharacteristic, complemented
105#2073C2211yescharacteristic
106#2073C2211yescharacteristic, complemented
107#2065C2211yescharacteristic, complemented
108#2065C2211yescharacteristic, complemented
109#2056C2211yescharacteristic, complemented
110#2055C2211yescharacteristic
111#2054C2211yescharacteristic
112#2054C2211yescharacteristic
113#2054C2211yescharacteristic, complemented
114#2054C2211yescharacteristic, complemented
115#2054C2211yescharacteristic, complemented
116#2042C2211yescharacteristic
117#2042C2211yescharacteristic, complemented
118#2042C2211yescharacteristic, complemented
119#2042C2211yescharacteristic, complemented
120#2035C2211yescharacteristic, complemented
121#2034C2211yescharacteristic, complemented
122#2024C2211yescharacteristic, complemented
123#2024C2211yescharacteristic, complemented
124#2015C2211yescharacteristic, complemented
125#2015C2211yescharacteristic, complemented
126#2015C2211yescharacteristic, complemented
127#2015C2211yescharacteristic, complemented
128#2014C2211yescharacteristic
129#2013C2211yescharacteristic
130#2013C2211yescharacteristic, complemented
131#2012C2211yescharacteristic
132#2012C2211yescharacteristic
133#2012C2211yescharacteristic, complemented
134#2012C2211yescharacteristic, complemented
135#2011C2211yescharacteristic
136#2011C2211yescharacteristic
137#2011C2211yescharacteristic, complemented
138#2001C2211yescharacteristic, complemented
139#2001C2211yescharacteristic, complemented
140#2001C2211yescharacteristic, complemented
141#2000C2211yescharacteristic
142#2000C2211yescharacteristic
143#2000C2211yescharacteristic
144#2000C2211yescharacteristic, complemented
145#2000C2211yescharacteristic, complemented
146#1999C2211yescharacteristic
147#1999C2211yescharacteristic
148#1999C2211yescharacteristic
149#1993C2211yescharacteristic, complemented
150#1983C2211yescharacteristic, complemented
151#1982C2211yescharacteristic
152#1973C2211yescharacteristic
153#1973C2211yescharacteristic, complemented
154#1973C2211yescharacteristic, complemented
155#1970C2211yescharacteristic, complemented
156#1968C2211yescharacteristic
157#1968C2211yescharacteristic, complemented
158#1958C2211yescharacteristic, complemented
159#1955C2211yescharacteristic
160#1939C2211yescharacteristic, complemented
161#1935C2211yescharacteristic, complemented
162#1934C2211yescharacteristic
163#1934C2211yescharacteristic, complemented
164#1933C2211yescharacteristic, complemented
165#1927C2211yescharacteristic, complemented
166#1926C2211yescharacteristic, complemented
167#1923C2211yescharacteristic, complemented
168#1923C2211yescharacteristic, complemented
169#1923C2211yescharacteristic, complemented
170#1923C2211yescharacteristic, complemented
171#1921C2211yescharacteristic, complemented
172#1918C2211yescharacteristic, complemented
173#1917C2211yescharacteristic, complemented
174#1916C2211yescharacteristic, complemented
175#1895C2211yescharacteristic
176#1894C2211yescharacteristic, complemented
177#1880C2211yescharacteristic, complemented
178#1880C2211yescharacteristic, complemented
179#1880C2211yescharacteristic, complemented
180#1880C2211yescharacteristic, complemented
181#1879C2211yescharacteristic
182#1879C2211yescharacteristic
183#1879C2211yescharacteristic, complemented
184#1879C2211yescharacteristic, complemented
185#1877C2211yescharacteristic
186#1877C2211yescharacteristic, complemented
187#1875C2211yescharacteristic, complemented
188#1875C2211yescharacteristic, complemented
189#1870C2211yescharacteristic
190#1864C2211yescharacteristic, complemented
191#1864C2211yescharacteristic, complemented
192#1851C2211yescharacteristic, complemented
193#1805C2211yescharacteristic, complemented
194#1804C2211yescharacteristic, complemented
195#1798C2211yescharacteristic, complemented
196#1788C2211yescharacteristic, complemented
197#1786C2211yescharacteristic
198#1770C2211yescharacteristic, complemented
199#1762C2211yescharacteristic
200C4×#103C2211yescharacteristic, complemented
201#1753C2211yescharacteristic, complemented
202#1750C2211yescharacteristic, complemented
203C22×#41C2311yescharacteristic
204C23×D4—21no—
205C23×D4C2311yescharacteristic
206C23×D4C2311yescharacteristic
207C2×AGL(1,ℤ/8)—42no—
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×SD16C2311yescharacteristic
220C22×D8C2311yescharacteristic
221C22×D8C2311yescharacteristic
222C22×D8C2311yescharacteristic
223C22×D8C2311yescharacteristic
224C22×D8C2311yescharacteristic
225C22×D8C2311yescharacteristic
226C22×M16C2311yescharacteristic
227D42—42no—
228D42—42no—
229#542—42no—
230#542—42no—
231C2×C4⋊Q8C2311yescharacteristic
232C2×C4⋊Q8C2311yescharacteristic
233C2×#127C2311yescharacteristic
234C2×#127C2311yescharacteristic
235C2×#126—21no—
236C2×#124—21no—
237C2×#124—21no—
238C2×#124C2311yescharacteristic
239C2×#124C2311yescharacteristic
240C2×#124C2311yescharacteristic
241C2×#124C2311yescharacteristic
242C2×#124C2311yescharacteristic
243C2×#124C2311yescharacteristic
244C2×#123—21no—
245C2×#123—21no—
246C2×C22⋊Q8—21no—
247C2×C22⋊Q8—21no—
248C2×C22⋊Q8C2311yescharacteristic
249C2×C22⋊Q8C2311yescharacteristic
250C2×C22⋊Q8C2311yescharacteristic
251C2×C22⋊Q8C2311yescharacteristic
252C2×C22⋊Q8C2311yescharacteristic
253C2×#121—21no—
254C2×#121C2311yescharacteristic
255C2×#121C2311yescharacteristic
256C2×#121C2311yescharacteristic
257C2×#121C2311yescharacteristic
258C2×#121C2311yescharacteristic
259C2×#120—21no—
260C2×#120—21no—
261C2×C4×Q8C2311yescharacteristic
262C2×C4×Q8C2311yescharacteristic
263C2×C4×D4C2311yescharacteristic
264C2×C4×D4C2311yescharacteristic
265C2×C4×D4C2311yescharacteristic
266C2×C4×D4C2311yescharacteristic
267C2×C4×D4C2311yescharacteristic
268C2×#117C2311yescharacteristic
269C2×#117C2311yescharacteristic
270C22×C22⋊C4—21no—
271#496—42no—
272#496—42no—
273#495—42no—
274#495—42no—
275#486—42no—
276#485—42no—
277#485—42no—
278#468—42no—
279#464—42no—
280#463—42no—
281#463—42no—
282#463—42no—
283#462—42no—
284#461—42no—
285#452—42no—
286#450—42no—
287#450—42no—
288#450—42no—
289#449—42no—
290#447—42no—
291#447—42no—
292#447—42no—
293C4×D8—42no—
294C2×#107C2311yescharacteristic
295C2×#107C2311yescharacteristic
296C2×#106C2311yescharacteristic
297C2×#106C2311yescharacteristic
298C2×C4⋊C8C2311yescharacteristic
299C2×C4⋊C8C2311yescharacteristic
300C2×C4⋊C8C2311yescharacteristic
301C2×C4⋊C8C2311yescharacteristic
302C2×C4⋊C8C2311yescharacteristic
303C2×#103C2311yescharacteristic
304C2×#103C2311yescharacteristic
305C2×#103C2311yescharacteristic
306C2×#103C2311yescharacteristic
307C2×#103C2311yescharacteristic
308C2×#103C2311yescharacteristic
309C2×#103C2311yescharacteristic
310C2×#103C2311yescharacteristic
311C2×#103C2311yescharacteristic
312C2×#103C2311yescharacteristic
313C2×#103C2311yescharacteristic
314C2×#103C2311yescharacteristic
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×C22⋊C8C2311yescharacteristic
336C2×C22⋊C8C2311yescharacteristic
337C2×C22⋊C8C2311yescharacteristic
338C2×C22⋊C8C2311yescharacteristic
339C2×C22⋊C8C2311yescharacteristic
340C2×C22⋊C8C2311yescharacteristic
341C2×C22⋊C8C2311yescharacteristic
342C2×#97C2311yescharacteristic
343C2×#97C2311yescharacteristic
344C2×C4×C8C2311yescharacteristic
345C2×C4×C8C2311yescharacteristic
346C2×C4×C8C2311yescharacteristic
347#401—21no—
348#400—21no—
349#400—21no—
350#400D411yescharacteristic
351#399—21no—
352#399D411yescharacteristic
353#398—21no—
354#398—21no—
355#398D411yescharacteristic
356#397—21no—
357#397—21no—
358#397—21no—
359#397—21no—
360#397—21no—
361#397—21no—
362#397—21no—
363#397—21no—
364#397D411yescharacteristic
365#397D411yescharacteristic
366#397D411yescharacteristic
367#396—21no—
368#396—21no—
369#396—21no—
370#396—21no—
371#396—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#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#394—21no—
393#394D411yescharacteristic
394#394D411yescharacteristic
395#393—21no—
396#393—21no—
397#392—21no—
398#392—21no—
399#392—21no—
400#392—21no—
401#392—21no—
402#392—21no—
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#390C2311yescharacteristic
416#390C2311yescharacteristic
417#390C2311yescharacteristic
418#390C2311yescharacteristic
419#390C2311yescharacteristic
420#390C2311yescharacteristic
421#390C2311yescharacteristic
422#390C2311yescharacteristic
423#390C2311yescharacteristic
424#390C2311yescharacteristic
425#390C2311yescharacteristic
426#389—21no—
427#389C2311yescharacteristic
428#389C2311yescharacteristic
429#389C2311yescharacteristic
430#389C2311yescharacteristic
431#388—21no—
432#388—21no—
433#388—21no—
434#388—21no—
435#388—21no—
436#388—21no—
437#388—21no—
438#388—21no—
439#388—21no—
440#388—21no—
441#388—21no—
442#388—21no—
443#387—21no—
444#387—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#386—21no—
454#386—21no—
455#386—21no—
456#386—21no—
457#386—21no—
458#385—21no—
459#385—21no—
460#385—21no—
461#385—21no—
462#385—21no—
463#383—21no—
464#382C2311yescharacteristic
465#382C2311yescharacteristic
466#381—21no—
467#380—21no—
468#380C2311yescharacteristic
469#380C2311yescharacteristic
470#379—21no—
471#379—21no—
472#379—21no—
473#379—21no—
474#379—21no—
475#379—21no—
476#379—21no—
477C4×C4⋊C4C2311yescharacteristic
478C4×C4⋊C4C2311yescharacteristic
479C4×C4⋊C4C2311yescharacteristic
480C4×C4⋊C4C2311yescharacteristic
481C4×C22⋊C4—21no—
482C4×C22⋊C4—21no—
483C4×C22⋊C4C2311yescharacteristic
484C4×C22⋊C4C2311yescharacteristic
485C4×C22⋊C4C2311yescharacteristic
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—
509C25—21no—
510C2×#41—41no—
511C2×#41—41no—
512C2×#41—41no—
513C2×#41—41no—
514C2×#41—41no—
515C2×#41—41no—
516C22×Q8—21no—
517C22×Q8C2411yescharacteristic
518C22×Q8C2411yescharacteristic
519C22×Q8C2411yescharacteristic
520C22×D4—21no—
521C22×D4—22no—
522C22×D4—22no—
523C22×D4—22no—
524C22×D4—21no—
525C22×D4—21no—
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—41no—
536C22×D4—41no—
537C22×D4—41no—
538C22×D4—41no—
539C22×D4—41no—
540C22×D4—41no—
541C22×D4—41no—
542C22×D4—41no—
543C22×D4—41no—
544C22×D4—44no—
545C22×D4—82no—
546C22×D4—82no—
547C22×D4C2×D411yescharacteristic
548C22×D4C2411yescharacteristic
549C22×D4C2411yescharacteristic
550C22×D4C2411yescharacteristic
551C22×D4C2411yescharacteristic
552C22×D4C2411yescharacteristic
553C23×C4—21no—
554C23×C4—21no—
555C23×C4—21no—
556C23×C4—21no—
557C23×C4—21no—
558C23×C4C2411yescharacteristic
559C23×C4C2411yescharacteristic
560AGL(1,ℤ/8)—416no—
561C2×Q16—41no—
562C2×Q16—41no—
563C2×Q16—41no—
564C2×Q16—41no—
565C2×Q16—41no—
566C2×Q16—41no—
567C2×SD16—22no—
568C2×SD16—22no—
569C2×SD16—22no—
570C2×SD16—22no—
571C2×SD16—22no—
572C2×SD16—22no—
573C2×SD16—22no—
574C2×SD16—22no—
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×SD16—41no—
585C2×SD16—41no—
586C2×SD16—41no—
587C2×SD16—41no—
588C2×SD16—41no—
589C2×SD16—41no—
590C2×SD16—41no—
591C2×D8—22no—
592C2×D8—22no—
593C2×D8—22no—
594C2×D8—22no—
595C2×D8—22no—
596C2×D8—22no—
597C2×D8—41no—
598C2×D8—41no—
599C2×D8—41no—
600C2×D8—41no—
601C2×D8—41no—
602C2×D8—41no—
603C2×D8—41no—
604C2×D8—41no—
605C2×D8—41no—
606C2×D8—41no—
607C2×D8—41no—
608C2×D8—41no—
609C2×M16—22no—
610C2×M16—41no—
611C2×M16—41no—
612C22×C8C2411yescharacteristic
613C22×C8C2411yescharacteristic
614C22×C8C2411yescharacteristic
615C22×C8C2411yescharacteristic
616C22×C8C2411yescharacteristic
617C22×C8C2411yescharacteristic
618C22×C8C2411yescharacteristic
619C22×C8C2411yescharacteristic
620C4⋊Q8—22no—
621C4⋊Q8—41no—
622C4⋊Q8—41no—
623C4⋊Q8—41no—
624#127—22no—
625#127—41no—
626#127—41no—
627#127—41no—
628#126—44no—
629#124—22no—
630#124—22no—
631#124—41no—
632#124—41no—
633#124—41no—
634#124—41no—
635#124—41no—
636#124—41no—
637#124—41no—
638#124—41no—
639#124—41no—
640#124—41no—
641#124—44no—
642#124—82no—
643#123—44no—
644#123—82no—
645C22⋊Q8—44no—
646C22⋊Q8—41no—
647C22⋊Q8—41no—
648C22⋊Q8—41no—
649C22⋊Q8—41no—
650C22⋊Q8—41no—
651C22⋊Q8—41no—
652C22⋊Q8—41no—
653C22⋊Q8—41no—
654C22⋊Q8—41no—
655C22⋊Q8—41no—
656C22⋊Q8—82no—
657#121—22no—
658#121—22no—
659#121—22no—
660#121—44no—
661#121—41no—
662#121—41no—
663#121—41no—
664#121—41no—
665#121—41no—
666#121—41no—
667#121—41no—
668#120—44no—
669#120—44no—
670C4×Q8—22no—
671C4×Q8—41no—
672C4×Q8—41no—
673C4×Q8—41no—
674C4×D4—22no—
675C4×D4—22no—
676C4×D4—41no—
677C4×D4—41no—
678C4×D4—41no—
679C4×D4—41no—
680C4×D4—41no—
681C4×D4—41no—
682C4×D4—41no—
683C4×D4—41no—
684#117—41no—
685#117—41no—
686#117—41no—
687#117—41no—
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—21no—
699C2×C4⋊C4—21no—
700C2×C4⋊C4—21no—
701C2×C4⋊C4—21no—
702C2×C4⋊C4C2×D411yescharacteristic
703C2×C4⋊C4C2×D411yescharacteristic
704C2×C4⋊C4C2×D411yescharacteristic
705C2×C4⋊C4C2×D411yescharacteristic
706C2×C4⋊C4C2×D411yescharacteristic
707C2×C4⋊C4C2×D411yescharacteristic
708C2×C4⋊C4C2×D411yescharacteristic
709C2×C4⋊C4C2411yescharacteristic
710C2×C4⋊C4C2411yescharacteristic
711C2×C4⋊C4C2411yescharacteristic
712C2×C4⋊C4C2411yescharacteristic
713C2×C4⋊C4C2411yescharacteristic
714C2×C4⋊C4C2411yescharacteristic
715C2×C4⋊C4C2411yescharacteristic
716C2×C4⋊C4C2411yescharacteristic
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—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—82no—
769C2×C22⋊C4C2×D411yescharacteristic
770C2×C22⋊C4C2×D411yescharacteristic
771C2×C22⋊C4C2×D411yescharacteristic
772C2×C22⋊C4C2×D411yescharacteristic
773C2×C22⋊C4C2×D411yescharacteristic
774C2×C22⋊C4C2×D411yescharacteristic
775C2×C22⋊C4C2×D411yescharacteristic
776C2×C22⋊C4C2×D411yescharacteristic
777C2×C22⋊C4C2×D411yescharacteristic
778C2×C22⋊C4C2×D411yescharacteristic
779C2×C42—21no—
780C2×C42—21no—
781C2×C42—21no—
782C2×C42—21no—
783C2×C42—21no—
784C2×C42C2411yescharacteristic
785C2×C42C2411yescharacteristic
786C2×C42C2411yescharacteristic
787C2×C42C2411yescharacteristic
788C2×C42C2411yescharacteristic
789#107—22no—
790#107—22no—
791#106—41no—
792#106—41no—
793C4⋊C8—22no—
794C4⋊C8—41no—
795C4⋊C8—41no—
796C4⋊C8—41no—
797C4⋊C8—41no—
798#103—22no—
799#103—22no—
800#103—22no—
801#103—22no—
802#103—41no—
803#103—41no—
804#103—41no—
805#103—41no—
806#103—41no—
807#103—41no—
808#103—41no—
809#103—41no—
810#102—22no—
811#102—22no—
812#102—22no—
813#102—22no—
814#102—22no—
815#102—22no—
816#102—41no—
817#102—41no—
818#102—41no—
819#102—41no—
820#102—41no—
821#102—41no—
822#102—41no—
823#102—41no—
824#102—41no—
825#102—41no—
826#102—41no—
827#102—41no—
828#102—41no—
829#102—41no—
830C22⋊C8—22no—
831C22⋊C8—22no—
832C22⋊C8—22no—
833C22⋊C8—41no—
834C22⋊C8—41no—
835C22⋊C8—41no—
836C22⋊C8—41no—
837#97—41no—
838#97—41no—
839C4×C8—22no—
840C4×C8—41no—
841C4×C8—41no—
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#95—21no—
862#95—21no—
863#95—21no—
864#95C2×D411yescharacteristic
865#95C2×D411yescharacteristic
866#95C2×D411yescharacteristic
867#95C2×D411yescharacteristic
868#95C2×D411yescharacteristic
869#95C2×D411yescharacteristic
870#95C2×D411yescharacteristic
871#95C2×D411yescharacteristic
872#95C2×D411yescharacteristic
873#95C2×D411yescharacteristic
874C24—21no—
875C24—21no—
876C24—21no—
877C24—21no—
878C24—21no—
879C24—42no—
880C24—42no—
881C24—42no—
882C24—42no—
883C24—42no—
884C24—81no—
885C24—81no—
886C24—81no—
887C24—81no—
888C24—81no—
889C24—81no—
890C24—81no—
891C24—81no—
892C24—81no—
893C24C22×D411yescharacteristic
894C24C22×D411yescharacteristic
895#41—44no—
896#41—82no—
897#41—82no—
898#41—82no—
899C2×Q8—21no—
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—42no—
918C2×Q8—81no—
919C2×Q8—81no—
920C2×D4—24no—
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—21no—
942C2×D4—21no—
943C2×D4—21no—
944C2×D4—21no—
945C2×D4—21no—
946C2×D4—21no—
947C2×D4—21no—
948C2×D4—21no—
949C2×D4—41no—
950C2×D4—41no—
951C2×D4—41no—
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—44no—
961C2×D4—42no—
962C2×D4—81no—
963C2×D4—81no—
964C2×D4—81no—
965C2×D4—81no—
966C2×D4—81no—
967C2×D4—81no—
968C2×D4—81no—
969C2×D4—81no—
970C2×D4—81no—
971C2×D4—81no—
972C2×D4—81no—
973C2×D4—82no—
974C2×D4—82no—
975C2×D4—82no—
976C2×D4—82no—
977C2×D4—82no—
978C2×D4—82no—
979C2×D4—82no—
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—816no—
996C2×D4H(5,𝔽2)12yes—
997C2×D4H(5,𝔽2)12yes—
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—42no—
1022C22×C4—42no—
1023C22×C4—42no—
1024C22×C4—81no—
1025C22×C4—81no—
1026C22×C4—81no—
1027C22×C4—81no—
1028C22×C4—81no—
1029C22×C4—81no—
1030C22×C4—81no—
1031C22×C4—81no—
1032C22×C4—81no—
1033C22×C4—81no—
1034C22×C4—81no—
1035C22×C4—81no—
1036C22×C4C22×D411yescharacteristic
1037C22×C4C22×D411yescharacteristic
1038C22×C4C22×D411yescharacteristic
1039C22×C4C22×D411yescharacteristic
1040C22×C4C22×D411yescharacteristic
1041C22×C4C22×D411yescharacteristic
1042C22×C4C22×D411yescharacteristic
1043C22×C4C22×D411yescharacteristic
1044C22×C4C22×D411yescharacteristic
1045C22×C4C22×D411yescharacteristic
1046C22×C4C22×D411yescharacteristic
1047C22×C4C22×D411yescharacteristic
1048C22×C4C2511yescharacteristic
1049Q16—82no—
1050Q16—82no—
1051SD16—44no—
1052SD16—44no—
1053SD16—82no—
1054SD16—82no—
1055SD16—82no—
1056SD16—82no—
1057SD16—82no—
1058SD16—82no—
1059D8—44no—
1060D8—44no—
1061D8—44no—
1062D8—82no—
1063D8—82no—
1064D8—82no—
1065M16—44no—
1066C2×C8—21no—
1067C2×C8—21no—
1068C2×C8—21no—
1069C2×C8—21no—
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×C8H(5,𝔽2)12yes—
1089C2×C8H(5,𝔽2)12yes—
1090C4⋊C4—21no—
1091C4⋊C4—21no—
1092C4⋊C4—21no—
1093C4⋊C4—21no—
1094C4⋊C4—21no—
1095C4⋊C4—21no—
1096C4⋊C4—21no—
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—41no—
1106C4⋊C4—41no—
1107C4⋊C4—41no—
1108C4⋊C4—41no—
1109C4⋊C4—41no—
1110C4⋊C4—41no—
1111C4⋊C4—41no—
1112C4⋊C4—42no—
1113C4⋊C4—42no—
1114C4⋊C4—42no—
1115C4⋊C4—42no—
1116C4⋊C4—81no—
1117C4⋊C4—81no—
1118C4⋊C4—81no—
1119C4⋊C4—81no—
1120C4⋊C4—81no—
1121C4⋊C4—81no—
1122C4⋊C4—81no—
1123C4⋊C4—81no—
1124C4⋊C4—81no—
1125C4⋊C4—81no—
1126C4⋊C4H(5,𝔽2)12yes—
1127C22⋊C4—24no—
1128C22⋊C4—41no—
1129C22⋊C4—41no—
1130C22⋊C4—41no—
1131C22⋊C4—41no—
1132C22⋊C4—41no—
1133C22⋊C4—41no—
1134C22⋊C4—41no—
1135C22⋊C4—41no—
1136C22⋊C4—41no—
1137C22⋊C4—41no—
1138C22⋊C4—42no—
1139C22⋊C4—42no—
1140C22⋊C4—42no—
1141C22⋊C4—42no—
1142C22⋊C4—42no—
1143C22⋊C4—42no—
1144C22⋊C4—42no—
1145C22⋊C4—42no—
1146C22⋊C4—42no—
1147C22⋊C4—81no—
1148C22⋊C4—81no—
1149C22⋊C4—81no—
1150C22⋊C4—81no—
1151C22⋊C4—81no—
1152C22⋊C4—81no—
1153C22⋊C4—81no—
1154C22⋊C4—81no—
1155C22⋊C4—81no—
1156C22⋊C4—81no—
1157C22⋊C4—81no—
1158C22⋊C4—81no—
1159C22⋊C4—81no—
1160C22⋊C4—81no—
1161C22⋊C4—81no—
1162C22⋊C4—81no—
1163C22⋊C4—81no—
1164C22⋊C4—81no—
1165C22⋊C4—81no—
1166C22⋊C4—81no—
1167C22⋊C4—81no—
1168C22⋊C4—81no—
1169C22⋊C4—81no—
1170C22⋊C4—81no—
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—
1188C42—21no—
1189C42—21no—
1190C42—21no—
1191C42—21no—
1192C42—21no—
1193C42—21no—
1194C42—21no—
1195C42—21no—
1196C42—21no—
1197C42—21no—
1198C42—42no—
1199C42—81no—
1200C42—81no—
1201C42—81no—
1202C42—81no—
1203C23—21no—
1204C23—21no—
1205C23—21no—
1206C23—21no—
1207C23—21no—
1208C23—21no—
1209C23—21no—
1210C23—21no—
1211C23—22no—
1212C23—21no—
1213C23—21no—
1214C23—22no—
1215C23—21no—
1216C23—21no—
1217C23—21no—
1218C23—21no—
1219C23—41no—
1220C23—41no—
1221C23—41no—
1222C23—41no—
1223C23—41no—
1224C23—41no—
1225C23—41no—
1226C23—41no—
1227C23—41no—
1228C23—41no—
1229C23—41no—
1230C23—41no—
1231C23—41no—
1232C23—41no—
1233C23—41no—
1234C23—41no—
1235C23—41no—
1236C23—41no—
1237C23—41no—
1238C23—41no—
1239C23—41no—
1240C23—41no—
1241C23—41no—
1242C23—41no—
1243C23—41no—
1244C23—41no—
1245C23—41no—
1246C23—41no—
1247C23—41no—
1248C23—41no—
1249C23—41no—
1250C23—41no—
1251C23—41no—
1252C23—84no—
1253C23—84no—
1254C23—84no—
1255C23—84no—
1256C23—84no—
1257C23—162no—
1258C23—162no—
1259C23—162no—
1260C23—162no—
1261C23—162no—
1262C23—162no—
1263C23—162no—
1264C23—162no—
1265C23—162no—
1266C23C23×D411yescharacteristic
1267Q8—41no—
1268Q8—41no—
1269Q8—41no—
1270Q8—41no—
1271Q8—41no—
1272Q8—41no—
1273Q8—41no—
1274Q8—41no—
1275Q8—41no—
1276Q8—41no—
1277Q8—41no—
1278Q8—41no—
1279Q8—162no—
1280D4—22no—
1281D4—22no—
1282D4—22no—
1283D4—22no—
1284D4—44no—
1285D4—41no—
1286D4—41no—
1287D4—41no—
1288D4—41no—
1289D4—41no—
1290D4—41no—
1291D4—41no—
1292D4—41no—
1293D4—41no—
1294D4—41no—
1295D4—41no—
1296D4—41no—
1297D4—41no—
1298D4—41no—
1299D4—41no—
1300D4—41no—
1301D4—84no—
1302D4—84no—
1303D4—84no—
1304D4—84no—
1305D4—84no—
1306D4—84no—
1307D4—162no—
1308D4—162no—
1309D4—162no—
1310D4—162no—
1311D4—162no—
1312D4—162no—
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—21no—
1335C2×C4—21no—
1336C2×C4—21no—
1337C2×C4—21no—
1338C2×C4—21no—
1339C2×C4—22no—
1340C2×C4—21no—
1341C2×C4—21no—
1342C2×C4—21no—
1343C2×C4—21no—
1344C2×C4—21no—
1345C2×C4—21no—
1346C2×C4—21no—
1347C2×C4—21no—
1348C2×C4—21no—
1349C2×C4—21no—
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—162no—
1393C2×C4—162no—
1394C2×C4—162no—
1395C2×C4C2×H(5,𝔽2)11yescharacteristic
1396C2×C4C2×H(5,𝔽2)11yescharacteristic
1397C2×C4C2×H(5,𝔽2)11yescharacteristic
1398C2×C4C2×H(5,𝔽2)11yescharacteristic
1399C2×C4C2×H(5,𝔽2)11yescharacteristic
1400C2×C4#58511yescharacteristic
1401C8—22no—
1402C8—22no—
1403C8—41no—
1404C8—41no—
1405C8—41no—
1406C8—41no—
1407C8—41no—
1408C8—41no—
1409C22—41no—
1410C22—41no—
1411C22—41no—
1412C22—41no—
1413C22—42no—
1414C22—41no—
1415C22—41no—
1416C22—42no—
1417C22—41no—
1418C22—41no—
1419C22—42no—
1420C22—42no—
1421C22—42no—
1422C22—41no—
1423C22—41no—
1424C22—42no—
1425C22—41no—
1426C22—41no—
1427C22—41no—
1428C22—41no—
1429C22—81no—
1430C22—81no—
1431C22—81no—
1432C22—81no—
1433C22—81no—
1434C22—81no—
1435C22—81no—
1436C22—81no—
1437C22—81no—
1438C22—81no—
1439C22—81no—
1440C22—81no—
1441C22—81no—
1442C22—81no—
1443C22—81no—
1444C22—81no—
1445C22—81no—
1446C22—81no—
1447C22—81no—
1448C22—81no—
1449C22—81no—
1450C22—81no—
1451C22—81no—
1452C22—81no—
1453C22—81no—
1454C22—81no—
1455C22—81no—
1456C22—81no—
1457C22—81no—
1458C22—168no—
1459C22—168no—
1460C22#348411yescharacteristic
1461C22#348811yescharacteristic
1462C22#349811yescharacteristic
1463C22#358411yescharacteristic
1464C22#358411yescharacteristic
1465C22#358511yescharacteristic
1466C22#358511yescharacteristic
1467C4—41no—
1468C4—41no—
1469C4—41no—
1470C4—41no—
1471C4—41no—
1472C4—41no—
1473C4—41no—
1474C4—41no—
1475C4—42no—
1476C4—41no—
1477C4—41no—
1478C4—41no—
1479C4—41no—
1480C4—81no—
1481C4—81no—
1482C4—81no—
1483C4—81no—
1484C4—81no—
1485C4—81no—
1486C4—81no—
1487C4—81no—
1488C4—81no—
1489C4—81no—
1490C4#353211yescharacteristic
1491C4#353411yescharacteristic
1492C4#354311yescharacteristic
1493C4#354611yescharacteristic
1494C2—81no—
1495C2—81no—
1496C2—82no—
1497C2—82no—
1498C2—161no—
1499C2—161no—
1500C2—161no—
1501C2#4795211yescharacteristic
1502C2#6164411yescharacteristic
1503C2#6166611yescharacteristic
1504C2#6201111yescharacteristic
1505C2#6202811yescharacteristic
1506C2#6246111yescharacteristic
1507C2#6246811yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ #2395 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #53073C2semidirect
2. #44874C2semidirect
3. #32170C2semidirect
4. #31913C2semidirect
5. #31045C2semidirect
6. #30996C2semidirect
7. #30875C2semidirect
8. #30761C2semidirect
9. #30720C2semidirect
10. #30619C2semidirect
11. #30529C2semidirect
12. #30452C2semidirect
13. #30451C2semidirect
14. #30448C2semidirect
15. #29721C2semidirect
16. #29672C2semidirect
17. #29083C2semidirect
18. #28998C2semidirect
19. #28467C2semidirect
20. #28320C2semidirect
21. #27089C2semidirect
22. #26940C2semidirect
23. #26618C2semidirect
24. #25793C2semidirect
25. #25763C2semidirect
26. #25614C2semidirect
27. #25374C2semidirect
28. #24897C2semidirect
29. #24367C2semidirect
30. #23860C2semidirect
31. #22364C2semidirect
36. C2×#496C22semidirect
38. C2×#495C22semidirect
39. C2×#486C22semidirect
40. C2×#485C22semidirect
41. C2×#485C22semidirect
42. C2×#468C22semidirect
44. C2×#462C22semidirect
46. C2×#463C22semidirect
47. C2×#463C22semidirect
48. C2×#461C22semidirect
49. C2×#452C22semidirect
57. C2×C4×D8C22semidirect
70. #2621C22semidirect
71. #2619C22semidirect
73. #2545C22semidirect
75. #2544C22semidirect
77. #2514C22semidirect
78. #2513C22semidirect
86. #2432C22semidirect
87. #2431C22semidirect
88. #2427C22semidirect
90. #2426C22semidirect
91. #2421C22semidirect
92. #2420C22semidirect
102. #2092C22semidirect
103. #2086C22semidirect
104. #2076C22semidirect
106. #2073C22semidirect
107. #2065C22semidirect
108. #2065C22semidirect
109. #2056C22semidirect
113. #2054C22semidirect
114. #2054C22semidirect
115. #2054C22semidirect
117. #2042C22semidirect
118. #2042C22semidirect
119. #2042C22semidirect
120. #2035C22semidirect
121. #2034C22semidirect
122. #2024C22semidirect
123. #2024C22semidirect
124. #2015C22semidirect
125. #2015C22semidirect
126. #2015C22semidirect
127. #2015C22semidirect
130. #2013C22semidirect
133. #2012C22semidirect
134. #2012C22semidirect
137. #2011C22semidirect
138. #2001C22semidirect
139. #2001C22semidirect
140. #2001C22semidirect
144. #2000C22semidirect
145. #2000C22semidirect
149. #1993C22semidirect
150. #1983C22semidirect
153. #1973C22semidirect
154. #1973C22semidirect
155. #1970C22semidirect
157. #1968C22semidirect
158. #1958C22semidirect
160. #1939C22semidirect
161. #1935C22semidirect
163. #1934C22semidirect
164. #1933C22semidirect
165. #1927C22semidirect
166. #1926C22semidirect
167. #1923C22semidirect
168. #1923C22semidirect
169. #1923C22semidirect
170. #1923C22semidirect
171. #1921C22semidirect
172. #1918C22semidirect
173. #1917C22semidirect
174. #1916C22semidirect
176. #1894C22semidirect
177. #1880C22semidirect
178. #1880C22semidirect
179. #1880C22semidirect
180. #1880C22semidirect
183. #1879C22semidirect
184. #1879C22semidirect
186. #1877C22semidirect
187. #1875C22semidirect
188. #1875C22semidirect
190. #1864C22semidirect
191. #1864C22semidirect
192. #1851C22semidirect
193. #1805C22semidirect
194. #1804C22semidirect
195. #1798C22semidirect
196. #1788C22semidirect
198. #1770C22semidirect
200. C4×#103C22semidirect
201. #1753C22semidirect
202. #1750C22semidirect

Maximal subgroups

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

subgroupindex
#530732
#448742
#321702
#319132
#310452
#309962
#308752
#307612
#307202
#306192
#305292
#304522
#304512
#304482
#297212
#296722
#290832
#289982
#284672
#283202
#270892
#269402
#266182
#257932
#257632
#256142
#253742
#248972
#243672
#238602
#223642