Finite Group Databasebeta

← #6930859

Subgroups — #6930859

Order 512.

1831 conjugacy classes of subgroups.

The subgroup lattice has 1489 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#38056C211yesmaximal, characteristic, complemented
2#37619C211yesmaximal, characteristic, complemented
3#32812C211yesmaximal, characteristic, complemented
4#32804C211yesmaximal, characteristic, complemented
5#32182C211yesmaximal, characteristic, complemented
6#32177C211yesmaximal, characteristic, complemented
7#30894C211yesmaximal, characteristic, complemented
8#30887C211yesmaximal, characteristic, complemented
9#30763C211yesmaximal, characteristic, complemented
10#30763C211yesmaximal, characteristic, complemented
11#30741C211yesmaximal, characteristic, complemented
12#30741C211yesmaximal, characteristic, complemented
13#30348C211yesmaximal, characteristic, complemented
14#30273C211yesmaximal, characteristic, complemented
15#30047C211yesmaximal, characteristic, complemented
16#29804C211yesmaximal, characteristic, complemented
17#29628C211yesmaximal, characteristic, complemented
18#29566C211yesmaximal, characteristic, complemented
19#28455C211yesmaximal, characteristic, complemented
20#27284C211yesmaximal, characteristic, complemented
21#27272C211yesmaximal, characteristic, complemented
22#25791C211yesmaximal, characteristic, complemented
23#25791C211yesmaximal, characteristic, complemented
24#25503C211yesmaximal, characteristic, complemented
25#25104C211yesmaximal, characteristic, complemented
26#25094C211yesmaximal, characteristic, complemented
27#24367C211yesmaximal, characteristic, complemented
28#24367C211yesmaximal, characteristic, complemented
29#23933C211yesmaximal, characteristic, complemented
30#23428C211yesmaximal, characteristic, complemented
31#22596C211yesmaximal, characteristic, complemented
32C22×AGL(1,ℤ/8)C2211yescharacteristic
33C22×AGL(1,ℤ/8)C2211yescharacteristic
34C2×#533C2211yescharacteristic
35C2×#532C2211yescharacteristic
36C2×#496C2211yescharacteristic
37C2×#496C2211yescharacteristic
38C2×#492C2211yescharacteristic
39C2×#492C2211yescharacteristic
40C2×#491C2211yescharacteristic, complemented
41C2×#488C2211yescharacteristic, complemented
42C2×#468C2211yescharacteristic
43C2×#468C2211yescharacteristic
44C2×#463C2211yescharacteristic
45C2×#463C2211yescharacteristic
46C2×#463C2211yescharacteristic, complemented
47C2×#461C2211yescharacteristic
48C2×#461C2211yescharacteristic
49C2×#461C2211yescharacteristic, complemented
50C2×#449C2211yescharacteristic
51C2×#449C2211yescharacteristic
52C2×#450C2211yescharacteristic
53C2×#450C2211yescharacteristic
54C2×#417C2211yescharacteristic
55C2×#417C2211yescharacteristic
56#2854C2211yescharacteristic
57#2816—21no—
58#2816—21no—
59#2756—21no—
60#2753—21no—
61#2749—21no—
62#2706—21no—
63#2658C2211yescharacteristic, complemented
64#2658C2211yescharacteristic, complemented
65#2644C2211yescharacteristic
66#2641C2211yescharacteristic
67#2640C2211yescharacteristic, complemented
68#2640C2211yescharacteristic, complemented
69#2633—21no—
70#2633—21no—
71#2624—21no—
72#2624—21no—
73#2580—21no—
74#2580—21no—
75#2548C2211yescharacteristic, complemented
76#2548C2211yescharacteristic, complemented
77#2546C2211yescharacteristic, complemented
78#2546C2211yescharacteristic, complemented
79#2534—21no—
80#2513C2211yescharacteristic
81#2454C2211yescharacteristic
82#2445C2211yescharacteristic
83#2445C2211yescharacteristic
84#2442C2211yescharacteristic
85#2433C2211yescharacteristic
86#2432C2211yescharacteristic
87#2432C2211yescharacteristic
88#2432C2211yescharacteristic
89#2432C2211yescharacteristic
90#2418—21no—
91#2412—21no—
92#2412—21no—
93#2361C2211yescharacteristic
94D4×C22⋊C4C2211yescharacteristic
95#2328C2211yescharacteristic
96#2319C2211yescharacteristic
97C2×#390C2211yescharacteristic
98#2283C2211yescharacteristic
99#2074C2211yescharacteristic, complemented
100#2073C2211yescharacteristic, complemented
101#2068C2211yescharacteristic, complemented
102#2067C2211yescharacteristic, complemented
103#2057C2211yescharacteristic, complemented
104#2055C2211yescharacteristic
105#2055C2211yescharacteristic
106#2055C2211yescharacteristic, complemented
107#2054C2211yescharacteristic
108#2054C2211yescharacteristic
109#2054C2211yescharacteristic, complemented
110#2043C2211yescharacteristic, complemented
111#2043C2211yescharacteristic, complemented
112#2043C2211yescharacteristic, complemented
113#2043C2211yescharacteristic, complemented
114#2043C2211yescharacteristic, complemented
115#2042C2211yescharacteristic, complemented
116#2042C2211yescharacteristic, complemented
117#2042C2211yescharacteristic, complemented
118#2042C2211yescharacteristic, complemented
119#2042C2211yescharacteristic, complemented
120#2041C2211yescharacteristic, complemented
121#2026C2211yescharacteristic, complemented
122#2025C2211yescharacteristic, complemented
123#2023C2211yescharacteristic
124#2023C2211yescharacteristic
125#2023C2211yescharacteristic, complemented
126#2014C2211yescharacteristic
127#2014C2211yescharacteristic
128#2013C2211yescharacteristic
129#2013C2211yescharacteristic
130#2013C2211yescharacteristic
131#2013C2211yescharacteristic
132#2013C2211yescharacteristic
133#2013C2211yescharacteristic
134#2013C2211yescharacteristic
135#2013C2211yescharacteristic
136#2013C2211yescharacteristic, complemented
137#2013C2211yescharacteristic, complemented
138#2013C2211yescharacteristic, complemented
139#2012C2211yescharacteristic
140#2012C2211yescharacteristic
141#2012C2211yescharacteristic
142#2012C2211yescharacteristic
143#2012C2211yescharacteristic
144#2012C2211yescharacteristic
145#2012C2211yescharacteristic
146#2012C2211yescharacteristic
147#2012C2211yescharacteristic, complemented
148#2012C2211yescharacteristic, complemented
149#2012C2211yescharacteristic, complemented
150#2011C2211yescharacteristic
151#2011C2211yescharacteristic
152#2011C2211yescharacteristic
153#2011C2211yescharacteristic
154#2011C2211yescharacteristic, complemented
155#1983C2211yescharacteristic, complemented
156#1981C2211yescharacteristic, complemented
157#1973C2211yescharacteristic
158#1973C2211yescharacteristic
159#1970C2211yescharacteristic
160#1970C2211yescharacteristic
161#1960C2211yescharacteristic, complemented
162#1958C2211yescharacteristic, complemented
163#1936C2211yescharacteristic, complemented
164#1936C2211yescharacteristic, complemented
165#1933C2211yescharacteristic, complemented
166#1933C2211yescharacteristic, complemented
167#1928C2211yescharacteristic, complemented
168#1925C2211yescharacteristic, complemented
169#1917C2211yescharacteristic, complemented
170#1917C2211yescharacteristic, complemented
171#1916C2211yescharacteristic, complemented
172#1916C2211yescharacteristic, complemented
173#1894C2211yescharacteristic
174#1894C2211yescharacteristic
175#1880C2211yescharacteristic
176#1880C2211yescharacteristic
177#1880C2211yescharacteristic
178#1880C2211yescharacteristic
179#1880C2211yescharacteristic, complemented
180#1880C2211yescharacteristic, complemented
181#1879C2211yescharacteristic
182#1879C2211yescharacteristic
183#1879C2211yescharacteristic, complemented
184#1877C2211yescharacteristic
185#1877C2211yescharacteristic
186#1877C2211yescharacteristic, complemented
187#1872C2211yescharacteristic
188#1872C2211yescharacteristic
189#1863C2211yescharacteristic, complemented
190#1863C2211yescharacteristic, complemented
191#1851C2211yescharacteristic
192#1851C2211yescharacteristic
193#1840C2211yescharacteristic, complemented
194#1832C2211yescharacteristic, complemented
195#1817C2211yescharacteristic
196#1788C2211yescharacteristic
197#1788C2211yescharacteristic
198#1768C2211yescharacteristic, complemented
199#1753C2211yescharacteristic
200#1753C2211yescharacteristic
201#1746C2211yescharacteristic, complemented
202#1728C2211yescharacteristic
203C22×#41C2311yescharacteristic
204C22×#41C2311yescharacteristic
205C23×D4C2311yescharacteristic
206C2×AGL(1,ℤ/8)—42no—
207C2×AGL(1,ℤ/8)—42no—
208C2×AGL(1,ℤ/8)—42no—
209C2×AGL(1,ℤ/8)—42no—
210C2×AGL(1,ℤ/8)—42no—
211C2×AGL(1,ℤ/8)—42no—
212C22×SD16C2311yescharacteristic
213C22×SD16C2311yescharacteristic
214C22×SD16C2311yescharacteristic
215C22×SD16C2311yescharacteristic
216C22×SD16C2311yescharacteristic
217C22×SD16C2311yescharacteristic
218C22×SD16C2311yescharacteristic
219C22×SD16C2311yescharacteristic
220C22×SD16C2311yescharacteristic
221C22×SD16C2311yescharacteristic
222C22×SD16C2311yescharacteristic
223C22×SD16C2311yescharacteristic
224C22×D8C2311yescharacteristic
225C22×D8C2311yescharacteristic
226C22×D8C2311yescharacteristic
227C22×D8C2311yescharacteristic
228C22×D8C2311yescharacteristic
229C22×D8C2311yescharacteristic
230C22×M16C2311yescharacteristic
231C22×M16C2311yescharacteristic
232#533—42no—
233#533—42no—
234#532—42no—
235#532—42no—
236C2×C4⋊Q8C2311yescharacteristic
237C2×C4⋊Q8C2311yescharacteristic
238C2×C4⋊Q8C2311yescharacteristic
239C2×C4⋊Q8C2311yescharacteristic
240C2×C4⋊Q8C2311yescharacteristic
241C2×C4⋊Q8C2311yescharacteristic
242C2×C4⋊Q8C2311yescharacteristic
243C2×#127C2311yescharacteristic
244C2×#127C2311yescharacteristic
245C2×#127C2311yescharacteristic
246C2×#125—21no—
247C2×#125C2311yescharacteristic
248C2×#124C2311yescharacteristic
249C2×#124C2311yescharacteristic
250C2×#124C2311yescharacteristic
251C2×#124C2311yescharacteristic
252C2×#124C2311yescharacteristic
253C2×#124C2311yescharacteristic
254C2×#123—21no—
255C2×#123—21no—
256C2×#123—21no—
257C2×C22⋊Q8—21no—
258C2×C22⋊Q8C2311yescharacteristic
259C2×C22⋊Q8C2311yescharacteristic
260C2×#121—21no—
261C2×#121—21no—
262C2×#121C2311yescharacteristic
263C2×#120—21no—
264C2×#120—21no—
265C2×C4×Q8—21no—
266C2×C4×Q8C2311yescharacteristic
267C2×C4×Q8C2311yescharacteristic
268C2×C4×D4—21no—
269C2×C4×D4—21no—
270C2×C4×D4—21no—
271C2×C4×D4C2311yescharacteristic
272C2×C4×D4C2311yescharacteristic
273C2×C4×D4C2311yescharacteristic
274C2×#117—21no—
275C22×C4⋊C4C2311yescharacteristic
276C22×C22⋊C4—21no—
277C22×C22⋊C4—21no—
278C22×C22⋊C4—21no—
279C22×C42C2311yescharacteristic
280#496—42no—
281#496—42no—
282#492—42no—
283#492—42no—
284#491—42no—
285#488—42no—
286#468—42no—
287#468—42no—
288#463—42no—
289#463—42no—
290#463—42no—
291#461—42no—
292#461—42no—
293#461—42no—
294#450—42no—
295#450—42no—
296#449—42no—
297#449—42no—
298C2×#107C2311yescharacteristic
299C2×#107C2311yescharacteristic
300C2×C4⋊C8C2311yescharacteristic
301C2×C4⋊C8C2311yescharacteristic
302C2×C4⋊C8C2311yescharacteristic
303C2×C4⋊C8C2311yescharacteristic
304#417—42no—
305#417—42no—
306C2×#103C2311yescharacteristic
307C2×#103C2311yescharacteristic
308C2×#103C2311yescharacteristic
309C2×#103C2311yescharacteristic
310C2×#103C2311yescharacteristic
311C2×#103C2311yescharacteristic
312C2×#103C2311yescharacteristic
313C2×#103C2311yescharacteristic
314C2×#103C2311yescharacteristic
315C2×#103C2311yescharacteristic
316C2×#103C2311yescharacteristic
317C2×#103C2311yescharacteristic
318C2×#103C2311yescharacteristic
319C2×#103C2311yescharacteristic
320C2×#103C2311yescharacteristic
321C2×#103C2311yescharacteristic
322C2×#103C2311yescharacteristic
323C2×#103C2311yescharacteristic
324C2×#103C2311yescharacteristic
325C2×#103C2311yescharacteristic
326C2×#102C2311yescharacteristic
327C2×#102C2311yescharacteristic
328C2×#102C2311yescharacteristic
329C2×#102C2311yescharacteristic
330C2×#102C2311yescharacteristic
331C2×#102C2311yescharacteristic
332C2×#102C2311yescharacteristic
333C2×#102C2311yescharacteristic
334C2×#102C2311yescharacteristic
335C2×#102C2311yescharacteristic
336C2×#102C2311yescharacteristic
337C2×#102C2311yescharacteristic
338C2×#102C2311yescharacteristic
339C2×#102C2311yescharacteristic
340C2×#102C2311yescharacteristic
341C2×#102C2311yescharacteristic
342C2×C22⋊C8C2311yescharacteristic
343C2×C22⋊C8C2311yescharacteristic
344C2×#97C2311yescharacteristic
345C2×#97C2311yescharacteristic
346C2×C4×C8C2311yescharacteristic
347C2×C4×C8C2311yescharacteristic
348#400—21no—
349#399—21no—
350#399—21no—
351#399—21no—
352#399—21no—
353#399—21no—
354#399—21no—
355#399—21no—
356#399—21no—
357#399—21no—
358#398—21no—
359#398—21no—
360#398—21no—
361#398—21no—
362#398—21no—
363#397—21no—
364#397—21no—
365#397—21no—
366#397—21no—
367#397—21no—
368#397—21no—
369#397—21no—
370#397—21no—
371#397—21no—
372#396—21no—
373#396—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#394—21no—
394#393—21no—
395#393—21no—
396#393—21no—
397#393—21no—
398#392—21no—
399#392—21no—
400#391C2311yescharacteristic
401#391C2311yescharacteristic
402#391C2311yescharacteristic
403#391C2311yescharacteristic
404#390—21no—
405#390—21no—
406#390—21no—
407#390—21no—
408#390—21no—
409#390—21no—
410#390C2311yescharacteristic
411#390C2311yescharacteristic
412#390C2311yescharacteristic
413#390C2311yescharacteristic
414#390C2311yescharacteristic
415#390C2311yescharacteristic
416#390C2311yescharacteristic
417#390C2311yescharacteristic
418#390C2311yescharacteristic
419#390C2311yescharacteristic
420#390C2311yescharacteristic
421#390C2311yescharacteristic
422#390C2311yescharacteristic
423#390C2311yescharacteristic
424#390C2311yescharacteristic
425#389—21no—
426#389—21no—
427#389—21no—
428#389—21no—
429#389C2311yescharacteristic
430#389C2311yescharacteristic
431#389C2311yescharacteristic
432#389C2311yescharacteristic
433#389C2311yescharacteristic
434#388—21no—
435#388—21no—
436#388—21no—
437#388—21no—
438#388—21no—
439#388—21no—
440#388—21no—
441#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#385—21no—
454#385—21no—
455#385—21no—
456#385—21no—
457#385—21no—
458#385—21no—
459#385—21no—
460#385—21no—
461#385—21no—
462#383D411yescharacteristic
463#383D411yescharacteristic
464#382D411yescharacteristic
465#382D411yescharacteristic
466#382C2311yescharacteristic
467#381—21no—
468#381D411yescharacteristic
469#381D411yescharacteristic
470#380—21no—
471#380—21no—
472#380—21no—
473#380D411yescharacteristic
474#380D411yescharacteristic
475#380C2311yescharacteristic
476#379—21no—
477C4×C4⋊C4C2311yescharacteristic
478C4×C4⋊C4C2311yescharacteristic
479C4×C4⋊C4C2311yescharacteristic
480C4×C22⋊C4C2311yescharacteristic
481C4×C22⋊C4C2311yescharacteristic
482#376C2311yescharacteristic
483#376C2311yescharacteristic
484#340C2311yescharacteristic
485#340C2311yescharacteristic
486#340C2311yescharacteristic
487#340C2311yescharacteristic
488#340C2311yescharacteristic
489#340C2311yescharacteristic
490#340C2311yescharacteristic
491#340C2311yescharacteristic
492#336C2311yescharacteristic
493#336C2311yescharacteristic
494#336C2311yescharacteristic
495#336C2311yescharacteristic
496#336C2311yescharacteristic
497#336C2311yescharacteristic
498#336C2311yescharacteristic
499#336C2311yescharacteristic
500#336C2311yescharacteristic
501#336C2311yescharacteristic
502#336C2311yescharacteristic
503#336C2311yescharacteristic
504#336C2311yescharacteristic
505#336C2311yescharacteristic
506#336C2311yescharacteristic
507#336C2311yescharacteristic
508C25—21no—
509C2×#41—22no—
510C2×#41—22no—
511C2×#41—22no—
512C2×#41—22no—
513C2×#41—41no—
514C2×#41—41no—
515C2×#41—41no—
516C2×#41—41no—
517C2×#41—41no—
518C2×#41—41no—
519C2×#41—41no—
520C2×#41—41no—
521C22×Q8—21no—
522C22×Q8C2411yescharacteristic
523C22×Q8C2411yescharacteristic
524C22×Q8C2411yescharacteristic
525C22×Q8C2411yescharacteristic
526C22×D4—22no—
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—22no—
538C22×D4—22no—
539C22×D4—41no—
540C22×D4—41no—
541C22×D4—41no—
542C22×D4C2411yescharacteristic
543C22×D4C2411yescharacteristic
544C22×D4C2411yescharacteristic
545C22×D4C2411yescharacteristic
546C22×D4C2411yescharacteristic
547C23×C4—21no—
548C23×C4—21no—
549C23×C4—21no—
550C23×C4—21no—
551C23×C4—21no—
552C23×C4—21no—
553C23×C4C2×D411yescharacteristic
554C23×C4C2×D411yescharacteristic
555C23×C4C2411yescharacteristic
556AGL(1,ℤ/8)—416no—
557AGL(1,ℤ/8)—416no—
558C2×SD16—22no—
559C2×SD16—22no—
560C2×SD16—22no—
561C2×SD16—22no—
562C2×SD16—22no—
563C2×SD16—22no—
564C2×SD16—22no—
565C2×SD16—22no—
566C2×SD16—41no—
567C2×SD16—41no—
568C2×SD16—41no—
569C2×SD16—41no—
570C2×SD16—41no—
571C2×SD16—41no—
572C2×SD16—41no—
573C2×SD16—41no—
574C2×SD16—41no—
575C2×SD16—41no—
576C2×SD16—41no—
577C2×SD16—41no—
578C2×SD16—41no—
579C2×SD16—41no—
580C2×SD16—41no—
581C2×SD16—41no—
582C2×SD16—41no—
583C2×SD16—41no—
584C2×SD16—41no—
585C2×SD16—41no—
586C2×SD16—41no—
587C2×SD16—41no—
588C2×SD16—41no—
589C2×SD16—41no—
590C2×SD16—41no—
591C2×SD16—41no—
592C2×SD16—41no—
593C2×SD16—41no—
594C2×D8—22no—
595C2×D8—22no—
596C2×D8—22no—
597C2×D8—22no—
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×D8—41no—
610C2×D8—41no—
611C2×D8—41no—
612C2×M16—22no—
613C2×M16—22no—
614C2×M16—22no—
615C2×M16—22no—
616C2×M16—41no—
617C2×M16—41no—
618C22×C8C2411yescharacteristic
619C22×C8C2411yescharacteristic
620C22×C8C2411yescharacteristic
621C22×C8C2411yescharacteristic
622C22×C8C2411yescharacteristic
623C22×C8C2411yescharacteristic
624C22×C8C2411yescharacteristic
625C22×C8C2411yescharacteristic
626C4⋊Q8—41no—
627C4⋊Q8—41no—
628C4⋊Q8—41no—
629C4⋊Q8—41no—
630C4⋊Q8—41no—
631C4⋊Q8—41no—
632C4⋊Q8—41no—
633C4⋊Q8—41no—
634C4⋊Q8—41no—
635C4⋊Q8—41no—
636C4⋊Q8—41no—
637C4⋊Q8—41no—
638C4⋊Q8—41no—
639C4⋊Q8—41no—
640#127—22no—
641#127—41no—
642#127—41no—
643#127—41no—
644#127—41no—
645#127—41no—
646#125—41no—
647#125—41no—
648#125—44no—
649#124—41no—
650#124—41no—
651#124—41no—
652#124—41no—
653#124—41no—
654#124—41no—
655#124—41no—
656#124—41no—
657#124—41no—
658#124—41no—
659#124—41no—
660#124—41no—
661#123—82no—
662#123—82no—
663#123—82no—
664C22⋊Q8—22no—
665C22⋊Q8—22no—
666C22⋊Q8—22no—
667C22⋊Q8—22no—
668C22⋊Q8—44no—
669#121—22no—
670#121—22no—
671#121—44no—
672#121—44no—
673#120—82no—
674#120—82no—
675C4×Q8—41no—
676C4×Q8—41no—
677C4×Q8—41no—
678C4×Q8—41no—
679C4×Q8—44no—
680C4×D4—22no—
681C4×D4—41no—
682C4×D4—44no—
683C4×D4—44no—
684C4×D4—41no—
685C4×D4—41no—
686C4×D4—41no—
687C4×D4—41no—
688C4×D4—82no—
689#117—44no—
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⋊C4—21no—
703C2×C4⋊C4—21no—
704C2×C4⋊C4—21no—
705C2×C4⋊C4—21no—
706C2×C4⋊C4—21no—
707C2×C4⋊C4—21no—
708C2×C4⋊C4—21no—
709C2×C4⋊C4—21no—
710C2×C4⋊C4—21no—
711C2×C4⋊C4—21no—
712C2×C4⋊C4—21no—
713C2×C4⋊C4—21no—
714C2×C4⋊C4—21no—
715C2×C4⋊C4—41no—
716C2×C4⋊C4—41no—
717C2×C4⋊C4C2×D411yescharacteristic
718C2×C4⋊C4C2×D411yescharacteristic
719C2×C4⋊C4C2×D411yescharacteristic
720C2×C4⋊C4C2×D411yescharacteristic
721C2×C4⋊C4C2411yescharacteristic
722C2×C4⋊C4C2411yescharacteristic
723C2×C4⋊C4C2411yescharacteristic
724C2×C4⋊C4C2411yescharacteristic
725C2×C4⋊C4C2411yescharacteristic
726C2×C4⋊C4C2411yescharacteristic
727C2×C4⋊C4C2411yescharacteristic
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—21no—
769C2×C22⋊C4—21no—
770C2×C22⋊C4—21no—
771C2×C22⋊C4—21no—
772C2×C22⋊C4—21no—
773C2×C22⋊C4—21no—
774C2×C22⋊C4—21no—
775C2×C22⋊C4—21no—
776C2×C22⋊C4—21no—
777C2×C22⋊C4—82no—
778C2×C22⋊C4—82no—
779C2×C22⋊C4—82no—
780C2×C22⋊C4C2×D411yescharacteristic
781C2×C22⋊C4C2×D411yescharacteristic
782C2×C22⋊C4C2×D411yescharacteristic
783C2×C22⋊C4C2×D411yescharacteristic
784C2×C42—22no—
785C2×C42—22no—
786C2×C42—21no—
787C2×C42—21no—
788C2×C42—21no—
789C2×C42C2×D411yescharacteristic
790C2×C42C2×D411yescharacteristic
791C2×C42C2411yescharacteristic
792C2×C42C2411yescharacteristic
793C2×C42C2411yescharacteristic
794C2×C42C2411yescharacteristic
795C2×C42C2411yescharacteristic
796C2×C42C2411yescharacteristic
797#107—41no—
798#107—41no—
799C4⋊C8—22no—
800C4⋊C8—22no—
801C4⋊C8—41no—
802C4⋊C8—41no—
803#103—22no—
804#103—22no—
805#103—22no—
806#103—22no—
807#103—41no—
808#103—41no—
809#103—41no—
810#103—41no—
811#103—41no—
812#103—41no—
813#103—41no—
814#103—41no—
815#103—41no—
816#103—41no—
817#103—41no—
818#103—41no—
819#103—41no—
820#103—41no—
821#103—41no—
822#103—41no—
823#102—22no—
824#102—22no—
825#102—41no—
826#102—41no—
827#102—41no—
828#102—41no—
829#102—41no—
830#102—41no—
831#102—41no—
832#102—41no—
833#102—41no—
834#102—41no—
835#102—41no—
836#102—41no—
837#102—41no—
838#102—41no—
839C22⋊C8—22no—
840C22⋊C8—22no—
841#97—22no—
842#97—41no—
843C4×C8—22no—
844C4×C8—41no—
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#95C2×D411yescharacteristic
863#95C2×D411yescharacteristic
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
874#95C2×D411yescharacteristic
875#95C2×D411yescharacteristic
876#95C2×D411yescharacteristic
877#95C2×D411yescharacteristic
878C24—21no—
879C24—21no—
880C24—21no—
881C24—21no—
882C24—21no—
883C24—42no—
884C24—42no—
885C24—42no—
886C24—42no—
887C24—81no—
888C24—81no—
889C24—81no—
890C24C22×D411yescharacteristic
891#41—44no—
892#41—44no—
893#41—44no—
894#41—44no—
895#41—82no—
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—21no—
918C2×Q8—21no—
919C2×Q8—21no—
920C2×Q8—21no—
921C2×Q8—21no—
922C2×Q8—21no—
923C2×Q8—42no—
924C2×Q8—81no—
925C2×Q8—81no—
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—21no—
950C2×D4—21no—
951C2×D4—21no—
952C2×D4—21no—
953C2×D4—21no—
954C2×D4—21no—
955C2×D4—44no—
956C2×D4—44no—
957C2×D4—42no—
958C2×D4—42no—
959C2×D4—42no—
960C2×D4—42no—
961C2×D4—42no—
962C2×D4—42no—
963C2×D4—42no—
964C2×D4—42no—
965C2×D4—42no—
966C2×D4—42no—
967C2×D4—42no—
968C2×D4—42no—
969C2×D4—42no—
970C2×D4—82no—
971C2×D4—82no—
972C2×D4—81no—
973C2×D4—81no—
974C2×D4—81no—
975C2×D4—81no—
976C2×D4—81no—
977C2×D4—81no—
978C2×D4—81no—
979C2×D4—81no—
980C2×D4—81no—
981C2×D4—81no—
982C2×D4—81no—
983C2×D4—81no—
984C2×D4—81no—
985C2×D4—81no—
986C2×D4—81no—
987C2×D4—81no—
988C2×D4—81no—
989C2×D4H(5,𝔽2)12yes—
990C22×C4—21no—
991C22×C4—21no—
992C22×C4—21no—
993C22×C4—21no—
994C22×C4—22no—
995C22×C4—22no—
996C22×C4—22no—
997C22×C4—21no—
998C22×C4—21no—
999C22×C4—21no—
1000C22×C4—21no—
1001C22×C4—21no—
1002C22×C4—21no—
1003C22×C4—21no—
1004C22×C4—21no—
1005C22×C4—21no—
1006C22×C4—21no—
1007C22×C4—21no—
1008C22×C4—41no—
1009C22×C4—41no—
1010C22×C4—41no—
1011C22×C4—42no—
1012C22×C4—42no—
1013C22×C4—42no—
1014C22×C4—42no—
1015C22×C4—81no—
1016C22×C4—81no—
1017C22×C4—81no—
1018C22×C4—81no—
1019C22×C4—81no—
1020C22×C4—81no—
1021C22×C4—81no—
1022C22×C4—81no—
1023C22×C4—81no—
1024C22×C4—81no—
1025C22×C4—81no—
1026C22×C4—81no—
1027C22×C4—81no—
1028C22×C4—81no—
1029C22×C4C22×D411yescharacteristic
1030C22×C4C22×D411yescharacteristic
1031C22×C4C22×D411yescharacteristic
1032C22×C4C22×D411yescharacteristic
1033C22×C4C22×D411yescharacteristic
1034C22×C4C22×D411yescharacteristic
1035C22×C4C22×D411yescharacteristic
1036C22×C4C22×D411yescharacteristic
1037C22×C4C22×D411yescharacteristic
1038C22×C4C22×D411yescharacteristic
1039C22×C4C22×D411yescharacteristic
1040C22×C4C22×D411yescharacteristic
1041C22×C4C22×D411yescharacteristic
1042C22×C4H(5,𝔽2)12yes—
1043C22×C4H(5,𝔽2)12yes—
1044C22×C4C2511yescharacteristic
1045SD16—44no—
1046SD16—44no—
1047SD16—44no—
1048SD16—44no—
1049SD16—82no—
1050SD16—82no—
1051SD16—82no—
1052SD16—82no—
1053SD16—82no—
1054SD16—82no—
1055SD16—82no—
1056SD16—82no—
1057D8—44no—
1058D8—44no—
1059D8—44no—
1060D8—44no—
1061D8—82no—
1062D8—82no—
1063M16—44no—
1064M16—44no—
1065C2×C8—21no—
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×C8H(5,𝔽2)12yes—
1088C2×C8H(5,𝔽2)12yes—
1089C4⋊C4—22no—
1090C4⋊C4—22no—
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—42no—
1108C4⋊C4—42no—
1109C4⋊C4—42no—
1110C4⋊C4—42no—
1111C4⋊C4—42no—
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⋊C4—81no—
1127C4⋊C4—81no—
1128C4⋊C4—81no—
1129C4⋊C4—81no—
1130C4⋊C4—81no—
1131C4⋊C4—81no—
1132C22⋊C4—41no—
1133C22⋊C4—41no—
1134C22⋊C4—41no—
1135C22⋊C4—41no—
1136C22⋊C4—42no—
1137C22⋊C4—42no—
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—42no—
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—
1185C42—22no—
1186C42—22no—
1187C42—21no—
1188C42—21no—
1189C42—21no—
1190C42—21no—
1191C42—21no—
1192C42—21no—
1193C42—21no—
1194C42—21no—
1195C42—21no—
1196C42—21no—
1197C42—21no—
1198C42—21no—
1199C42—42no—
1200C42—42no—
1201C42—81no—
1202C23—21no—
1203C23—21no—
1204C23—21no—
1205C23—21no—
1206C23—21no—
1207C23—21no—
1208C23—22no—
1209C23—41no—
1210C23—41no—
1211C23—41no—
1212C23—41no—
1213C23—41no—
1214C23—41no—
1215C23—41no—
1216C23—41no—
1217C23—41no—
1218C23—41no—
1219C23—41no—
1220C23—41no—
1221C23—41no—
1222C23—41no—
1223C23—41no—
1224C23—41no—
1225C23—41no—
1226C23—41no—
1227C23—41no—
1228C23—41no—
1229C23—41no—
1230C23—41no—
1231C23—41no—
1232C23—41no—
1233C23—41no—
1234C23—41no—
1235C23—41no—
1236C23—41no—
1237C23—41no—
1238C23—41no—
1239C23—41no—
1240C23—41no—
1241C23—41no—
1242C23—41no—
1243C23—84no—
1244C23—84no—
1245C23—84no—
1246C23—84no—
1247C23—162no—
1248C23—162no—
1249C23—162no—
1250C23#53512yes—
1251C23C23×D411yescharacteristic
1252Q8—41no—
1253Q8—41no—
1254Q8—41no—
1255Q8—41no—
1256Q8—41no—
1257Q8—41no—
1258Q8—41no—
1259Q8—41no—
1260Q8—41no—
1261Q8—41no—
1262Q8—41no—
1263Q8—41no—
1264Q8—41no—
1265Q8—41no—
1266Q8—41no—
1267Q8—41no—
1268Q8—84no—
1269D4—22no—
1270D4—22no—
1271D4—41no—
1272D4—41no—
1273D4—41no—
1274D4—41no—
1275D4—41no—
1276D4—41no—
1277D4—41no—
1278D4—41no—
1279D4—41no—
1280D4—41no—
1281D4—41no—
1282D4—41no—
1283D4—41no—
1284D4—41no—
1285D4—41no—
1286D4—41no—
1287D4—41no—
1288D4—41no—
1289D4—84no—
1290D4—84no—
1291D4—84no—
1292D4—84no—
1293D4—84no—
1294D4—84no—
1295D4—162no—
1296D4—162no—
1297D4—162no—
1298D4—162no—
1299C2×C4—21no—
1300C2×C4—21no—
1301C2×C4—21no—
1302C2×C4—21no—
1303C2×C4—22no—
1304C2×C4—22no—
1305C2×C4—22no—
1306C2×C4—22no—
1307C2×C4—21no—
1308C2×C4—21no—
1309C2×C4—21no—
1310C2×C4—21no—
1311C2×C4—21no—
1312C2×C4—21no—
1313C2×C4—21no—
1314C2×C4—21no—
1315C2×C4—21no—
1316C2×C4—21no—
1317C2×C4—21no—
1318C2×C4—21no—
1319C2×C4—21no—
1320C2×C4—21no—
1321C2×C4—21no—
1322C2×C4—21no—
1323C2×C4—21no—
1324C2×C4—21no—
1325C2×C4—21no—
1326C2×C4—21no—
1327C2×C4—21no—
1328C2×C4—21no—
1329C2×C4—21no—
1330C2×C4—21no—
1331C2×C4—21no—
1332C2×C4—21no—
1333C2×C4—21no—
1334C2×C4—21no—
1335C2×C4—21no—
1336C2×C4—21no—
1337C2×C4—21no—
1338C2×C4—21no—
1339C2×C4—21no—
1340C2×C4—44no—
1341C2×C4—41no—
1342C2×C4—41no—
1343C2×C4—41no—
1344C2×C4—41no—
1345C2×C4—41no—
1346C2×C4—41no—
1347C2×C4—41no—
1348C2×C4—41no—
1349C2×C4—41no—
1350C2×C4—41no—
1351C2×C4—41no—
1352C2×C4—41no—
1353C2×C4—41no—
1354C2×C4—41no—
1355C2×C4—41no—
1356C2×C4—41no—
1357C2×C4—41no—
1358C2×C4—41no—
1359C2×C4—41no—
1360C2×C4—41no—
1361C2×C4—41no—
1362C2×C4—41no—
1363C2×C4—41no—
1364C2×C4—41no—
1365C2×C4—41no—
1366C2×C4—41no—
1367C2×C4—41no—
1368C2×C4—41no—
1369C2×C4—41no—
1370C2×C4—41no—
1371C2×C4—41no—
1372C2×C4—41no—
1373C2×C4—41no—
1374C2×C4—84no—
1375C2×C4—84no—
1376C2×C4—82no—
1377C2×C4—162no—
1378C2×C4—162no—
1379C2×C4—162no—
1380C2×C4—162no—
1381C2×C4#53512yes—
1382C2×C4#57712yes—
1383C2×C4C2×H(5,𝔽2)11yescharacteristic
1384C2×C4C2×H(5,𝔽2)11yescharacteristic
1385C2×C4C2×H(5,𝔽2)11yescharacteristic
1386C2×C4C2×H(5,𝔽2)11yescharacteristic
1387C2×C4C2×H(5,𝔽2)11yescharacteristic
1388C2×C4#58511yescharacteristic
1389C8—22no—
1390C8—22no—
1391C8—41no—
1392C8—41no—
1393C8—41no—
1394C8—41no—
1395C8—41no—
1396C8—41no—
1397C22—22no—
1398C22—22no—
1399C22—22no—
1400C22—41no—
1401C22—41no—
1402C22—41no—
1403C22—41no—
1404C22—42no—
1405C22—42no—
1406C22—42no—
1407C22—81no—
1408C22—81no—
1409C22—81no—
1410C22—81no—
1411C22—81no—
1412C22—81no—
1413C22—81no—
1414C22—81no—
1415C22—81no—
1416C22—81no—
1417C22—81no—
1418C22—81no—
1419C22—81no—
1420C22—81no—
1421C22—81no—
1422C22—81no—
1423C22—81no—
1424C22—81no—
1425C22—81no—
1426C22—81no—
1427C22—81no—
1428C22—81no—
1429C22—81no—
1430C22—81no—
1431C22—81no—
1432C22—81no—
1433C22—81no—
1434C22—81no—
1435C22—81no—
1436C22—81no—
1437C22—81no—
1438C22—81no—
1439C22—168no—
1440C22C2×#53511yescharacteristic
1441C22#348811yescharacteristic
1442C22#349811yescharacteristic
1443C22C2×#57711yescharacteristic
1444C22#358511yescharacteristic
1445C22#358511yescharacteristic
1446C22#358611yescharacteristic
1447C4—22no—
1448C4—22no—
1449C4—41no—
1450C4—41no—
1451C4—41no—
1452C4—41no—
1453C4—41no—
1454C4—41no—
1455C4—41no—
1456C4—41no—
1457C4—41no—
1458C4—41no—
1459C4—41no—
1460C4—81no—
1461C4—81no—
1462C4—81no—
1463C4—81no—
1464C4—81no—
1465C4—81no—
1466C4—81no—
1467C4—81no—
1468C4—81no—
1469C4—81no—
1470C4—81no—
1471C4#353211yescharacteristic
1472C4#353211yescharacteristic
1473C4#354211yescharacteristic
1474C4#354211yescharacteristic
1475C2—42no—
1476C2—82no—
1477C2—161no—
1478C2—161no—
1479C2—161no—
1480C2—161no—
1481C2#4193411yescharacteristic
1482C2#6080811yescharacteristic
1483C2#6081311yescharacteristic
1484C2#6203911yescharacteristic
1485C2#6208411yescharacteristic
1486C2#6244511yescharacteristic
1487C2#6246511yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ #2283 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #38056C2semidirect
2. #37619C2semidirect
3. #32812C2semidirect
4. #32804C2semidirect
5. #32182C2semidirect
6. #32177C2semidirect
7. #30894C2semidirect
8. #30887C2semidirect
9. #30763C2semidirect
10. #30763C2semidirect
11. #30741C2semidirect
12. #30741C2semidirect
13. #30348C2semidirect
14. #30273C2semidirect
15. #30047C2semidirect
16. #29804C2semidirect
17. #29628C2semidirect
18. #29566C2semidirect
19. #28455C2semidirect
20. #27284C2semidirect
21. #27272C2semidirect
22. #25791C2semidirect
23. #25791C2semidirect
24. #25503C2semidirect
25. #25104C2semidirect
26. #25094C2semidirect
27. #24367C2semidirect
28. #24367C2semidirect
29. #23933C2semidirect
30. #23428C2semidirect
31. #22596C2semidirect
40. C2×#491C22semidirect
41. C2×#488C22semidirect
46. C2×#463C22semidirect
49. C2×#461C22semidirect
63. #2658C22semidirect
64. #2658C22semidirect
67. #2640C22semidirect
68. #2640C22semidirect
75. #2548C22semidirect
76. #2548C22semidirect
77. #2546C22semidirect
78. #2546C22semidirect
99. #2074C22semidirect
100. #2073C22semidirect
101. #2068C22semidirect
102. #2067C22semidirect
103. #2057C22semidirect
106. #2055C22semidirect
109. #2054C22semidirect
110. #2043C22semidirect
111. #2043C22semidirect
112. #2043C22semidirect
113. #2043C22semidirect
114. #2043C22semidirect
115. #2042C22semidirect
116. #2042C22semidirect
117. #2042C22semidirect
118. #2042C22semidirect
119. #2042C22semidirect
120. #2041C22semidirect
121. #2026C22semidirect
122. #2025C22semidirect
125. #2023C22semidirect
136. #2013C22semidirect
137. #2013C22semidirect
138. #2013C22semidirect
147. #2012C22semidirect
148. #2012C22semidirect
149. #2012C22semidirect
154. #2011C22semidirect
155. #1983C22semidirect
156. #1981C22semidirect
161. #1960C22semidirect
162. #1958C22semidirect
163. #1936C22semidirect
164. #1936C22semidirect
165. #1933C22semidirect
166. #1933C22semidirect
167. #1928C22semidirect
168. #1925C22semidirect
169. #1917C22semidirect
170. #1917C22semidirect
171. #1916C22semidirect
172. #1916C22semidirect
179. #1880C22semidirect
180. #1880C22semidirect
183. #1879C22semidirect
186. #1877C22semidirect
189. #1863C22semidirect
190. #1863C22semidirect
193. #1840C22semidirect
194. #1832C22semidirect
198. #1768C22semidirect
201. #1746C22semidirect

Maximal subgroups

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

subgroupindex
#380562
#376192
#328122
#328042
#321822
#321772
#308942
#308872
#307632
#307412
#303482
#302732
#300472
#298042
#296282
#295662
#284552
#272842
#272722
#257912
#255032
#251042
#250942
#243672
#239332
#234282
#225962