Finite Group Databasebeta

← #6685446

Subgroups — #6685446

Order 512.

1995 conjugacy classes of subgroups.

The subgroup lattice has 1518 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3198C211yesmaximal, characteristic, complemented
2C2×#3179C211yesmaximal, characteristic, complemented
3#39438C211yesmaximal, characteristic, complemented
4#39436C211yesmaximal, characteristic, complemented
5#33142C211yesmaximal, characteristic, complemented
6#30798C211yesmaximal, characteristic, complemented
7#30791C211yesmaximal, characteristic, complemented
8#30637C211yesmaximal, characteristic, complemented
9#30632C211yesmaximal, characteristic, complemented
10#30531C211yesmaximal, characteristic, complemented
11#30529C211yesmaximal, characteristic, complemented
12#30468C211yesmaximal, characteristic, complemented
13#30463C211yesmaximal, characteristic, complemented
14#30249C211yesmaximal, characteristic, complemented
15#29747C211yesmaximal, characteristic, complemented
16#26631C211yesmaximal, characteristic, complemented
17#26625C211yesmaximal, characteristic, complemented
18#26568C211yesmaximal, characteristic, complemented
19#26562C211yesmaximal, characteristic, complemented
20#25509C211yesmaximal, characteristic, complemented
21#25508C211yesmaximal, characteristic, complemented
22#25178C211yesmaximal, characteristic, complemented
23#25172C211yesmaximal, characteristic, complemented
24#24897C211yesmaximal, characteristic, complemented
25#24895C211yesmaximal, characteristic, complemented
26#24754C211yesmaximal, characteristic, complemented
27#24754C211yesmaximal, characteristic, complemented
28#24395C211yesmaximal, characteristic, complemented
29#24390C211yesmaximal, characteristic, complemented
30#22187C211yesmaximal, characteristic, complemented
31#21052C211yesmaximal, characteristic, complemented
32C2×#542C2211yescharacteristic
33C2×#540C2211yescharacteristic, complemented
34C2×#537C2211yescharacteristic
35C2×#535C2211yescharacteristic
36#3198—28no—
37#3179—28no—
38C2×#501C2211yescharacteristic, complemented
39C2×#496C2211yescharacteristic
40C2×#488C2211yescharacteristic
41C2×#486C2211yescharacteristic, complemented
42C2×#481C2211yescharacteristic
43C2×#485C2211yescharacteristic
44C2×#482C2211yescharacteristic
45C2×#480C2211yescharacteristic
46C2×#470C2211yescharacteristic, complemented
47C2×#469C2211yescharacteristic
48C2×#469C2211yescharacteristic
49C2×#468C2211yescharacteristic
50C2×#468C2211yescharacteristic, complemented
51C2×#466C2211yescharacteristic
52C2×#466C2211yescharacteristic
53C2×#465C2211yescharacteristic
54C2×#465C2211yescharacteristic, complemented
55C2×#463C2211yescharacteristic
56C2×#463C2211yescharacteristic
57C2×#452C2211yescharacteristic, complemented
58C2×#449C2211yescharacteristic
59C2×#449C2211yescharacteristic
60C2×#450C2211yescharacteristic
61C2×#447C2211yescharacteristic
62C2×#447C2211yescharacteristic
63C2×#442C2211yescharacteristic
64C2×#440C2211yescharacteristic, complemented
65C2×C4×SD16C2211yescharacteristic, complemented
66C2×C4×D8C2211yescharacteristic
67C22×C4⋊C8C2211yescharacteristic, complemented
68C2×#408C2211yescharacteristic
69C2×#408C2211yescharacteristic
70C2×#405C2211yescharacteristic, complemented
71#2850C2211yescharacteristic
72#2850C2211yescharacteristic, complemented
73#2709—21no—
74#2703—21no—
75#2700—21no—
76#2688—21no—
77#2688—21no—
78#2687—21no—
79#2685—21no—
80#2684—21no—
81#2625C2211yescharacteristic, complemented
82#2624C2211yescharacteristic
83#2616C2211yescharacteristic
84#2615C2211yescharacteristic
85#2544—21no—
86#2543—21no—
87#2535—21no—
88#2534—21no—
89#2521—21no—
90#2491C2211yescharacteristic
91#2489C2211yescharacteristic
92#2488—21no—
93#2472—21no—
94#2464—21no—
95#2442C2211yescharacteristic, complemented
96#2439C2211yescharacteristic
97#2435C2211yescharacteristic
98#2431C2211yescharacteristic, complemented
99#2428C2211yescharacteristic
100#2427C2211yescharacteristic
101#2427C2211yescharacteristic
102#2426C2211yescharacteristic
103#2420C2211yescharacteristic
104#2420C2211yescharacteristic
105#2362C2211yescharacteristic
106#2361C2211yescharacteristic, complemented
107#2339C2211yescharacteristic, complemented
108D4×C22⋊C4C2211yescharacteristic
109C4×#121C2211yescharacteristic
110C4×#121C2211yescharacteristic, complemented
111#2297C2211yescharacteristic
112#2097C2211yescharacteristic, complemented
113#2097C2211yescharacteristic, complemented
114#2092C2211yescharacteristic
115#2092C2211yescharacteristic, complemented
116#2076C2211yescharacteristic
117#2075C2211yescharacteristic, complemented
118#2068C2211yescharacteristic, complemented
119#2068C2211yescharacteristic, complemented
120#2065C2211yescharacteristic
121#2065C2211yescharacteristic, complemented
122#2059C2211yescharacteristic, complemented
123#2058C2211yescharacteristic, complemented
124#2055C2211yescharacteristic
125#2055C2211yescharacteristic, complemented
126#2054C2211yescharacteristic
127#2054C2211yescharacteristic
128#2042C2211yescharacteristic
129#2041C2211yescharacteristic, complemented
130#2036C2211yescharacteristic, complemented
131#2035C2211yescharacteristic
132#2035C2211yescharacteristic
133#2034C2211yescharacteristic
134#2034C2211yescharacteristic
135#2034C2211yescharacteristic, complemented
136#2033C2211yescharacteristic
137#2033C2211yescharacteristic
138#2025C2211yescharacteristic
139#2024C2211yescharacteristic, complemented
140#2015C2211yescharacteristic
141#2015C2211yescharacteristic
142#2015C2211yescharacteristic, complemented
143#2012C2211yescharacteristic
144#2012C2211yescharacteristic
145#2011C2211yescharacteristic
146#2001C2211yescharacteristic
147#2000C2211yescharacteristic
148#2000C2211yescharacteristic
149#2000C2211yescharacteristic, complemented
150#1999C2211yescharacteristic
151#1999C2211yescharacteristic
152#1983C2211yescharacteristic
153#1983C2211yescharacteristic, complemented
154#1973C2211yescharacteristic
155#1968C2211yescharacteristic
156#1949C2211yescharacteristic, complemented
157#1949C2211yescharacteristic, complemented
158#1944C2211yescharacteristic, complemented
159#1942C2211yescharacteristic, complemented
160#1936C2211yescharacteristic
161#1935C2211yescharacteristic, complemented
162#1934C2211yescharacteristic
163#1933C2211yescharacteristic, complemented
164#1926C2211yescharacteristic
165#1926C2211yescharacteristic, complemented
166#1924C2211yescharacteristic
167#1924C2211yescharacteristic
168#1924C2211yescharacteristic, complemented
169#1924C2211yescharacteristic, complemented
170#1923C2211yescharacteristic
171#1923C2211yescharacteristic
172#1923C2211yescharacteristic, complemented
173#1923C2211yescharacteristic, complemented
174#1919C2211yescharacteristic, complemented
175#1919C2211yescharacteristic, complemented
176#1895C2211yescharacteristic
177#1895C2211yescharacteristic, complemented
178#1893C2211yescharacteristic
179#1893C2211yescharacteristic, complemented
180#1892C2211yescharacteristic, complemented
181#1892C2211yescharacteristic, complemented
182#1879C2211yescharacteristic
183#1879C2211yescharacteristic
184#1879C2211yescharacteristic
185#1879C2211yescharacteristic
186#1878C2211yescharacteristic, complemented
187#1877C2211yescharacteristic
188#1875C2211yescharacteristic
189#1872C2211yescharacteristic, complemented
190#1865C2211yescharacteristic, complemented
191#1864C2211yescharacteristic
192#1864C2211yescharacteristic, complemented
193#1862C2211yescharacteristic
194#1862C2211yescharacteristic, complemented
195#1862C2211yescharacteristic, complemented
196#1854C2211yescharacteristic
197#1853C2211yescharacteristic, complemented
198#1809C2211yescharacteristic, complemented
199#1804C2211yescharacteristic
200#1804C2211yescharacteristic, complemented
201#1788C2211yescharacteristic, complemented
202#1786C2211yescharacteristic
203#1729C2211yescharacteristic, complemented
204#1728C2211yescharacteristic, complemented
205C22×#41C2311yescharacteristic
206C22×#41C2311yescharacteristic
207C23×D4C2311yescharacteristic
208C22×Q16C2311yescharacteristic
209C22×SD16C2311yescharacteristic
210C22×SD16C2311yescharacteristic
211C22×SD16C2311yescharacteristic
212C22×SD16C2311yescharacteristic
213C22×D8C2311yescharacteristic
214C22×D8C2311yescharacteristic
215C22×D8C2311yescharacteristic
216C22×D8C2311yescharacteristic
217C22×M16C2311yescharacteristic
218C22×M16C2311yescharacteristic
219C23×C8C2311yescharacteristic
220C23×C8C2311yescharacteristic
221#542—24no—
222#542—42no—
223#540—24no—
224#540—42no—
225#537—24no—
226#537—42no—
227#535—24no—
228#535—42no—
229C2×C4⋊Q8C2311yescharacteristic
230C2×#127—21no—
231C2×#127C2311yescharacteristic
232C2×#126—21no—
233C2×#125C2311yescharacteristic
234C2×#124—21no—
235C2×#124—21no—
236C2×#124—21no—
237C2×#124C2311yescharacteristic
238C2×#124C2311yescharacteristic
239C2×#124C2311yescharacteristic
240C2×#123—21no—
241C2×#123—21no—
242C2×#123—21no—
243C2×C22⋊Q8—21no—
244C2×C22⋊Q8—21no—
245C2×C22⋊Q8C2311yescharacteristic
246C2×C22⋊Q8C2311yescharacteristic
247C2×C22⋊Q8C2311yescharacteristic
248C2×C22⋊Q8C2311yescharacteristic
249C2×C22⋊Q8C2311yescharacteristic
250C2×#121—21no—
251C2×#121—21no—
252C2×#121—21no—
253C2×#121—21no—
254C2×#121—21no—
255C2×#121—21no—
256C2×#121C2311yescharacteristic
257C2×#121C2311yescharacteristic
258C2×#121C2311yescharacteristic
259C2×#121C2311yescharacteristic
260C2×#121C2311yescharacteristic
261C2×#121C2311yescharacteristic
262C2×#121C2311yescharacteristic
263C2×#121C2311yescharacteristic
264C2×#121C2311yescharacteristic
265C2×#120—21no—
266C2×#120—21no—
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×C4×D4C2311yescharacteristic
275C2×C4×D4C2311yescharacteristic
276C2×#117C2311yescharacteristic
277C2×#117C2311yescharacteristic
278C22×C4⋊C4C2311yescharacteristic
279C22×C22⋊C4—21no—
280C22×C42C2311yescharacteristic
281#501—24no—
282#496—24no—
283#488—24no—
284#486—24no—
285#485—24no—
286#482—24no—
287#481—24no—
288#480—24no—
289#470—42no—
290#469—42no—
291#469D418yescomplemented
292#468—24no—
293#468—24no—
294#466—24no—
295#466—24no—
296#465—24no—
297#465—24no—
298#463—42no—
299#463—42no—
300#452—42no—
301#450—24no—
302#449—24no—
303#449—24no—
304#447—24no—
305#447—42no—
306#442—24no—
307#440—24no—
308C4×SD16—24no—
309C4×D8—24no—
310C2×#107C2311yescharacteristic
311C2×#107C2311yescharacteristic
312C2×#107C2311yescharacteristic
313C2×#107C2311yescharacteristic
314C2×#107C2311yescharacteristic
315C2×#106C2311yescharacteristic
316C2×#106C2311yescharacteristic
317C2×#106C2311yescharacteristic
318C2×#106C2311yescharacteristic
319C2×#106C2311yescharacteristic
320C2×#106C2311yescharacteristic
321C2×C4⋊C8—42no—
322C2×C4⋊C8C2311yescharacteristic
323C2×C4⋊C8C2311yescharacteristic
324C2×C4⋊C8C2311yescharacteristic
325C2×C4⋊C8C2311yescharacteristic
326C2×#103C2311yescharacteristic
327C2×#103C2311yescharacteristic
328C2×#103C2311yescharacteristic
329C2×#103C2311yescharacteristic
330C2×#103C2311yescharacteristic
331C2×#103C2311yescharacteristic
332C2×#103C2311yescharacteristic
333C2×#103C2311yescharacteristic
334C2×#103C2311yescharacteristic
335C2×#103C2311yescharacteristic
336C2×#102C2311yescharacteristic
337C2×#102C2311yescharacteristic
338C2×#102C2311yescharacteristic
339C2×#102C2311yescharacteristic
340C2×#102C2311yescharacteristic
341C2×#102C2311yescharacteristic
342C2×#102C2311yescharacteristic
343C2×#102C2311yescharacteristic
344C2×#102C2311yescharacteristic
345C2×#102C2311yescharacteristic
346C2×#102C2311yescharacteristic
347C2×#102C2311yescharacteristic
348C2×#102C2311yescharacteristic
349C2×#102C2311yescharacteristic
350C2×#102C2311yescharacteristic
351C2×#102C2311yescharacteristic
352C2×#102C2311yescharacteristic
353C2×#102C2311yescharacteristic
354C2×#102C2311yescharacteristic
355C2×#102C2311yescharacteristic
356#408—24no—
357#408—42no—
358C2×C22⋊C8C2311yescharacteristic
359C2×C22⋊C8C2311yescharacteristic
360C2×C22⋊C8C2311yescharacteristic
361C2×C22⋊C8C2311yescharacteristic
362C2×C22⋊C8C2311yescharacteristic
363C2×C22⋊C8C2311yescharacteristic
364C2×C22⋊C8C2311yescharacteristic
365C2×C22⋊C8C2311yescharacteristic
366#405—24no—
367C2×#97C2311yescharacteristic
368C2×#97C2311yescharacteristic
369C2×C4×C8C2311yescharacteristic
370C2×C4×C8C2311yescharacteristic
371#400—21no—
372#400—21no—
373#400—21no—
374#399—21no—
375#398—21no—
376#398—21no—
377#397—21no—
378#397—21no—
379#397—21no—
380#397—21no—
381#397—21no—
382#397—21no—
383#397—21no—
384#397—21no—
385#396—21no—
386#396—21no—
387#395—21no—
388#394—21no—
389#394—21no—
390#394—21no—
391#394—21no—
392#394—21no—
393#394—21no—
394#394—21no—
395#394—21no—
396#394—21no—
397#394—21no—
398#394—21no—
399#394—21no—
400#394—21no—
401#394—21no—
402#393—21no—
403#393—21no—
404#393—21no—
405#392—21no—
406#392—21no—
407#392—21no—
408#392—21no—
409#392—21no—
410#392—21no—
411#391—21no—
412#391D411yescharacteristic
413#391D411yescharacteristic
414#391C2311yescharacteristic
415#391C2311yescharacteristic
416#391C2311yescharacteristic
417#391C2311yescharacteristic
418#390—21no—
419#390D411yescharacteristic
420#390D411yescharacteristic
421#390C2311yescharacteristic
422#390C2311yescharacteristic
423#390C2311yescharacteristic
424#390C2311yescharacteristic
425#390C2311yescharacteristic
426#390C2311yescharacteristic
427#389C2311yescharacteristic
428#389C2311yescharacteristic
429#389C2311yescharacteristic
430#389C2311yescharacteristic
431#389C2311yescharacteristic
432#389C2311yescharacteristic
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#388—21no—
444#388—21no—
445#387—21no—
446#387—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#386—21no—
459#386—21no—
460#386—21no—
461#386—21no—
462#386—21no—
463#386—21no—
464#386—21no—
465#386D411yescharacteristic
466#386D411yescharacteristic
467#386D411yescharacteristic
468#386D411yescharacteristic
469#385—21no—
470#385—21no—
471#382—21no—
472#382C2311yescharacteristic
473#382C2311yescharacteristic
474#381—21no—
475#381—21no—
476#381—21no—
477#380—21no—
478#380—21no—
479#380—21no—
480#380C2311yescharacteristic
481#380C2311yescharacteristic
482#380C2311yescharacteristic
483#380C2311yescharacteristic
484#380C2311yescharacteristic
485#380C2311yescharacteristic
486#379—21no—
487#379—21no—
488#379—21no—
489C4×C4⋊C4—21no—
490C4×C4⋊C4C2311yescharacteristic
491C4×C4⋊C4C2311yescharacteristic
492C4×C22⋊C4—21no—
493C4×C22⋊C4—21no—
494C4×C22⋊C4C2311yescharacteristic
495C4×C22⋊C4C2311yescharacteristic
496C4×C22⋊C4C2311yescharacteristic
497C4×C22⋊C4C2311yescharacteristic
498C2×#95—21no—
499#340C2311yescharacteristic
500#340C2311yescharacteristic
501#340C2311yescharacteristic
502#340C2311yescharacteristic
503#340C2311yescharacteristic
504#340C2311yescharacteristic
505#340C2311yescharacteristic
506#340C2311yescharacteristic
507#340C2311yescharacteristic
508#340C2311yescharacteristic
509#340C2311yescharacteristic
510#340C2311yescharacteristic
511#340C2311yescharacteristic
512#340C2311yescharacteristic
513#336C2311yescharacteristic
514#336C2311yescharacteristic
515#336C2311yescharacteristic
516#336C2311yescharacteristic
517#336C2311yescharacteristic
518#336C2311yescharacteristic
519#336C2311yescharacteristic
520#336C2311yescharacteristic
521C25—21no—
522C2×#41—22no—
523C2×#41—22no—
524C2×#41—22no—
525C2×#41—41no—
526C2×#41—41no—
527C2×#41—41no—
528C2×#41—41no—
529C2×#41—41no—
530C2×#41—41no—
531C2×#41—41no—
532C2×#41—41no—
533C2×#41—41no—
534C22×Q8—21no—
535C22×Q8C2×D411yescharacteristic
536C22×Q8C2411yescharacteristic
537C22×Q8C2411yescharacteristic
538C22×D4—21no—
539C22×D4—21no—
540C22×D4—22no—
541C22×D4—21no—
542C22×D4—21no—
543C22×D4—21no—
544C22×D4—21no—
545C22×D4—21no—
546C22×D4—21no—
547C22×D4—21no—
548C22×D4—21no—
549C22×D4—21no—
550C22×D4—21no—
551C22×D4—21no—
552C22×D4—41no—
553C22×D4—41no—
554C22×D4—41no—
555C22×D4—41no—
556C22×D4—41no—
557C22×D4C2×D411yescharacteristic
558C22×D4C2×D411yescharacteristic
559C22×D4C2×D411yescharacteristic
560C22×D4C2411yescharacteristic
561C22×D4C2411yescharacteristic
562C22×D4C2411yescharacteristic
563C22×D4C2411yescharacteristic
564C23×C4—21no—
565C23×C4—21no—
566C23×C4—21no—
567C23×C4—21no—
568C23×C4—21no—
569C23×C4—21no—
570C23×C4—21no—
571C23×C4C2×D411yescharacteristic
572C23×C4C2×D411yescharacteristic
573C23×C4C2411yescharacteristic
574C23×C4C2411yescharacteristic
575C23×C4C2411yescharacteristic
576C2×Q16—41no—
577C2×Q16—41no—
578C2×Q16—41no—
579C2×SD16—22no—
580C2×SD16—22no—
581C2×SD16—22no—
582C2×SD16—22no—
583C2×SD16—22no—
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—41no—
595C2×D8—41no—
596C2×D8—41no—
597C2×D8—41no—
598C2×D8—41no—
599C2×D8—41no—
600C2×D8—41no—
601C2×D8—41no—
602C2×D8C2×D414yes—
603C2×M16—22no—
604C2×M16—41no—
605C2×M16—41no—
606C2×M16—41no—
607C2×M16—41no—
608C2×M16C2×D414yes—
609C22×C8—22no—
610C22×C8—22no—
611C22×C8—22no—
612C22×C8—41no—
613C22×C8—41no—
614C22×C8—41no—
615C22×C8C2411yescharacteristic
616C22×C8C2411yescharacteristic
617C22×C8C2411yescharacteristic
618C22×C8C2411yescharacteristic
619C22×C8C2411yescharacteristic
620C22×C8C2411yescharacteristic
621C22×C8C2411yescharacteristic
622C22×C8C2411yescharacteristic
623C4⋊Q8—22no—
624C4⋊Q8—41no—
625#127—22no—
626#127—41no—
627#127—44no—
628#126—44no—
629#125—22no—
630#125—41no—
631#124—22no—
632#124—41no—
633#124—41no—
634#124—41no—
635#124—41no—
636#124—41no—
637#124—44no—
638#124—44no—
639#124—82no—
640#123—44no—
641#123—44no—
642#123—44no—
643C22⋊Q8—22no—
644C22⋊Q8—22no—
645C22⋊Q8—22no—
646C22⋊Q8—22no—
647C22⋊Q8—22no—
648C22⋊Q8—44no—
649C22⋊Q8—44no—
650C22⋊Q8—41no—
651C22⋊Q8—41no—
652C22⋊Q8—41no—
653C22⋊Q8—41no—
654C22⋊Q8—41no—
655#121—22no—
656#121—22no—
657#121—22no—
658#121—22no—
659#121—22no—
660#121—22no—
661#121—22no—
662#121—22no—
663#121—22no—
664#121—44no—
665#121—44no—
666#121—44no—
667#121—41no—
668#121—41no—
669#121—41no—
670#121—41no—
671#121—41no—
672#121—44no—
673#121—44no—
674#121—41no—
675#121—41no—
676#121—82no—
677#121C2×D414yes—
678#121C2×D414yes—
679#120—44no—
680#120—44no—
681C4×Q8—22no—
682C4×Q8—41no—
683C4×D4—22no—
684C4×D4—22no—
685C4×D4—22no—
686C4×D4—41no—
687C4×D4—41no—
688C4×D4—41no—
689C4×D4—41no—
690C4×D4—41no—
691C4×D4—41no—
692C4×D4—41no—
693C4×D4—82no—
694C4×D4—82no—
695C4×D4—82no—
696#117—22no—
697#117—22no—
698#117—22no—
699#117—41no—
700C2×C4⋊C4—22no—
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—21no—
716C2×C4⋊C4—21no—
717C2×C4⋊C4—41no—
718C2×C4⋊C4C2×D411yescharacteristic
719C2×C4⋊C4C2×D411yescharacteristic
720C2×C4⋊C4C2411yescharacteristic
721C2×C4⋊C4C2411yescharacteristic
722C2×C4⋊C4C2411yescharacteristic
723C2×C4⋊C4C2411yescharacteristic
724C2×C4⋊C4C2411yescharacteristic
725C2×C4⋊C4C2411yescharacteristic
726C2×C4⋊C4C2411yescharacteristic
727C2×C4⋊C4C2411yescharacteristic
728C2×C4⋊C4C2411yescharacteristic
729C2×C4⋊C4C2411yescharacteristic
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—82no—
775C2×C22⋊C4C2×D411yescharacteristic
776C2×C22⋊C4C2×D411yescharacteristic
777C2×C22⋊C4C2×D411yescharacteristic
778C2×C22⋊C4C2×D411yescharacteristic
779C2×C22⋊C4C2×D411yescharacteristic
780C2×C22⋊C4C2×D411yescharacteristic
781C2×C22⋊C4C2×D411yescharacteristic
782C2×C22⋊C4C2×D411yescharacteristic
783C2×C22⋊C4C2×D411yescharacteristic
784C2×C22⋊C4C2×D411yescharacteristic
785C2×C42—21no—
786C2×C42—21no—
787C2×C42—21no—
788C2×C42—21no—
789C2×C42—41no—
790C2×C42—41no—
791C2×C42C2×D411yescharacteristic
792C2×C42C2×D411yescharacteristic
793C2×C42C2411yescharacteristic
794C2×C42C2411yescharacteristic
795C2×C42C2411yescharacteristic
796C2×C42C2411yescharacteristic
797#107—22no—
798#107—22no—
799#107—22no—
800#107—22no—
801#107—41no—
802#106—22no—
803#106—22no—
804#106—41no—
805#106—41no—
806#106—41no—
807#106C2×D414yes—
808C4⋊C8—22no—
809C4⋊C8—22no—
810C4⋊C8—41no—
811C4⋊C8—41no—
812#103—22no—
813#103—22no—
814#103—22no—
815#103—22no—
816#103—22no—
817#103—41no—
818#103—41no—
819#103—41no—
820#103—41no—
821#103—41no—
822#102—22no—
823#102—22no—
824#102—22no—
825#102—22no—
826#102—22no—
827#102—22no—
828#102—22no—
829#102—22no—
830#102—22no—
831#102—41no—
832#102—41no—
833#102—41no—
834#102—41no—
835#102—41no—
836#102—41no—
837#102—41no—
838#102—41no—
839#102—41no—
840#102C2×D414yes—
841#102C2×D414yes—
842C22⋊C8—22no—
843C22⋊C8—22no—
844C22⋊C8—22no—
845C22⋊C8—22no—
846C22⋊C8—22no—
847C22⋊C8—22no—
848C22⋊C8—41no—
849C22⋊C8—41no—
850#97—22no—
851#97—22no—
852C4×C8—22no—
853C4×C8—22no—
854#95—21no—
855#95—21no—
856#95—21no—
857#95—21no—
858#95—21no—
859#95—21no—
860#95—21no—
861#95—21no—
862#95—21no—
863#95—21no—
864#95—21no—
865#95—21no—
866#95—21no—
867#95—21no—
868#95—21no—
869#95—21no—
870#95—21no—
871#95—21no—
872#95—21no—
873#95—21no—
874#95—21no—
875#95—21no—
876#95—21no—
877#95—21no—
878#95—21no—
879#95—21no—
880#95C2×D411yescharacteristic
881#95C2×D411yescharacteristic
882#95C2×D411yescharacteristic
883#95C2×D411yescharacteristic
884#95C2×D411yescharacteristic
885#95C2×D411yescharacteristic
886#95C2×D411yescharacteristic
887#95C2×D411yescharacteristic
888C24—21no—
889C24—21no—
890C24—21no—
891C24—21no—
892C24—42no—
893C24—42no—
894C24—81no—
895C24—81no—
896C24—81no—
897C24—81no—
898C24—81no—
899C24C22×D411yescharacteristic
900C24C22×D411yescharacteristic
901C24C22×D411yescharacteristic
902#41—82no—
903#41—82no—
904#41—82no—
905#41—82no—
906#41—82no—
907#41—82no—
908#41—82no—
909#41—82no—
910C2×Q8—22no—
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—41no—
924C2×Q8—41no—
925C2×Q8—42no—
926C2×Q8—81no—
927C2×Q8—81no—
928C2×D4—22no—
929C2×D4—24no—
930C2×D4—24no—
931C2×D4—22no—
932C2×D4—22no—
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—41no—
956C2×D4—41no—
957C2×D4—41no—
958C2×D4—41no—
959C2×D4—41no—
960C2×D4—41no—
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—42no—
971C2×D4—42no—
972C2×D4—42no—
973C2×D4—81no—
974C2×D4—81no—
975C2×D4—81no—
976C2×D4—81no—
977C2×D4—81no—
978C2×D4—82no—
979C2×D4—82no—
980C2×D4—82no—
981C2×D4—82no—
982C2×D4—81no—
983C2×D4—81no—
984C2×D4—81no—
985C2×D4—81no—
986C2×D4—81no—
987C2×D4—81no—
988C2×D4—81no—
989C2×D4—81no—
990C2×D4—81no—
991C2×D4—81no—
992C2×D4—81no—
993C2×D4—81no—
994C2×D4—81no—
995C2×D4—81no—
996C2×D4—81no—
997C2×D4—81no—
998C2×D4—81no—
999C2×D4—81no—
1000C2×D4—81no—
1001C2×D4—81no—
1002C2×D4C22×D412yes—
1003C2×D4C22×D412yes—
1004C22×C4—21no—
1005C22×C4—21no—
1006C22×C4—21no—
1007C22×C4—21no—
1008C22×C4—21no—
1009C22×C4—21no—
1010C22×C4—21no—
1011C22×C4—21no—
1012C22×C4—21no—
1013C22×C4—21no—
1014C22×C4—21no—
1015C22×C4—21no—
1016C22×C4—21no—
1017C22×C4—21no—
1018C22×C4—21no—
1019C22×C4—21no—
1020C22×C4—21no—
1021C22×C4—21no—
1022C22×C4—21no—
1023C22×C4—21no—
1024C22×C4—21no—
1025C22×C4—21no—
1026C22×C4—21no—
1027C22×C4—21no—
1028C22×C4—21no—
1029C22×C4—21no—
1030C22×C4—21no—
1031C22×C4—21no—
1032C22×C4—41no—
1033C22×C4—41no—
1034C22×C4—41no—
1035C22×C4—41no—
1036C22×C4—41no—
1037C22×C4—41no—
1038C22×C4—42no—
1039C22×C4—42no—
1040C22×C4—42no—
1041C22×C4—42no—
1042C22×C4—42no—
1043C22×C4—42no—
1044C22×C4—42no—
1045C22×C4—42no—
1046C22×C4—81no—
1047C22×C4—81no—
1048C22×C4—81no—
1049C22×C4—81no—
1050C22×C4—81no—
1051C22×C4—81no—
1052C22×C4—81no—
1053C22×C4—81no—
1054C22×C4—81no—
1055C22×C4—81no—
1056C22×C4—81no—
1057C22×C4—81no—
1058C22×C4—81no—
1059C22×C4C22×D411yescharacteristic
1060C22×C4C22×D411yescharacteristic
1061C22×C4C22×D411yescharacteristic
1062C22×C4C22×D411yescharacteristic
1063C22×C4C22×D411yescharacteristic
1064C22×C4C22×D411yescharacteristic
1065C22×C4C22×D411yescharacteristic
1066C22×C4C22×D411yescharacteristic
1067C22×C4C22×D411yescharacteristic
1068C22×C4C22×D411yescharacteristic
1069C22×C4C22×D411yescharacteristic
1070C22×C4C22×D412yes—
1071C22×C4H(5,𝔽2)12yes—
1072C22×C4C2511yescharacteristic
1073Q16—82no—
1074SD16—44no—
1075SD16—44no—
1076SD16—82no—
1077SD16—82no—
1078D8—44no—
1079D8—44no—
1080D8—82no—
1081D8—82no—
1082M16—44no—
1083M16—82no—
1084C2×C8—21no—
1085C2×C8—21no—
1086C2×C8—21no—
1087C2×C8—21no—
1088C2×C8—21no—
1089C2×C8—21no—
1090C2×C8—21no—
1091C2×C8—21no—
1092C2×C8—21no—
1093C2×C8—21no—
1094C2×C8—21no—
1095C2×C8—21no—
1096C2×C8—21no—
1097C2×C8—21no—
1098C2×C8—21no—
1099C2×C8—21no—
1100C2×C8—21no—
1101C2×C8—21no—
1102C2×C8—21no—
1103C2×C8—21no—
1104C2×C8—21no—
1105C2×C8—44no—
1106C2×C8—82no—
1107C2×C8C22×D412yes—
1108C2×C8C22×D412yes—
1109C2×C8H(5,𝔽2)12yes—
1110C4⋊C4—22no—
1111C4⋊C4—22no—
1112C4⋊C4—21no—
1113C4⋊C4—21no—
1114C4⋊C4—21no—
1115C4⋊C4—21no—
1116C4⋊C4—21no—
1117C4⋊C4—21no—
1118C4⋊C4—21no—
1119C4⋊C4—21no—
1120C4⋊C4—21no—
1121C4⋊C4—21no—
1122C4⋊C4—21no—
1123C4⋊C4—21no—
1124C4⋊C4—21no—
1125C4⋊C4—21no—
1126C4⋊C4—21no—
1127C4⋊C4—21no—
1128C4⋊C4—21no—
1129C4⋊C4—21no—
1130C4⋊C4—42no—
1131C4⋊C4—42no—
1132C4⋊C4—42no—
1133C4⋊C4—42no—
1134C4⋊C4—42no—
1135C4⋊C4—42no—
1136C4⋊C4—42no—
1137C4⋊C4—42no—
1138C4⋊C4—42no—
1139C4⋊C4—81no—
1140C4⋊C4—81no—
1141C4⋊C4—81no—
1142C4⋊C4—81no—
1143C4⋊C4—81no—
1144C4⋊C4—81no—
1145C4⋊C4—81no—
1146C4⋊C4C22×D412yes—
1147C4⋊C4C22×D412yes—
1148C22⋊C4—22no—
1149C22⋊C4—22no—
1150C22⋊C4—24no—
1151C22⋊C4—24no—
1152C22⋊C4—41no—
1153C22⋊C4—41no—
1154C22⋊C4—41no—
1155C22⋊C4—41no—
1156C22⋊C4—41no—
1157C22⋊C4—41no—
1158C22⋊C4—41no—
1159C22⋊C4—41no—
1160C22⋊C4—42no—
1161C22⋊C4—42no—
1162C22⋊C4—42no—
1163C22⋊C4—42no—
1164C22⋊C4—42no—
1165C22⋊C4—42no—
1166C22⋊C4—42no—
1167C22⋊C4—42no—
1168C22⋊C4—42no—
1169C22⋊C4—42no—
1170C22⋊C4—42no—
1171C22⋊C4—42no—
1172C22⋊C4—42no—
1173C22⋊C4—42no—
1174C22⋊C4—42no—
1175C22⋊C4—42no—
1176C22⋊C4—42no—
1177C22⋊C4—42no—
1178C22⋊C4—81no—
1179C22⋊C4—81no—
1180C22⋊C4—81no—
1181C22⋊C4—81no—
1182C22⋊C4—81no—
1183C22⋊C4—81no—
1184C22⋊C4—81no—
1185C22⋊C4—81no—
1186C22⋊C4—81no—
1187C22⋊C4—81no—
1188C22⋊C4—81no—
1189C22⋊C4—81no—
1190C22⋊C4—81no—
1191C22⋊C4—81no—
1192C22⋊C4—81no—
1193C22⋊C4—81no—
1194C22⋊C4—81no—
1195C22⋊C4—81no—
1196C22⋊C4—81no—
1197C22⋊C4—81no—
1198C22⋊C4—81no—
1199C22⋊C4—81no—
1200C22⋊C4—81no—
1201C22⋊C4—81no—
1202C42—21no—
1203C42—21no—
1204C42—21no—
1205C42—21no—
1206C42—21no—
1207C42—21no—
1208C42—21no—
1209C42—21no—
1210C42—41no—
1211C42—41no—
1212C42—42no—
1213C42—42no—
1214C42—42no—
1215C42—42no—
1216C23—21no—
1217C23—21no—
1218C23—21no—
1219C23—21no—
1220C23—21no—
1221C23—21no—
1222C23—21no—
1223C23—21no—
1224C23—21no—
1225C23—21no—
1226C23—21no—
1227C23—21no—
1228C23—21no—
1229C23—21no—
1230C23—21no—
1231C23—21no—
1232C23—22no—
1233C23—22no—
1234C23—21no—
1235C23—21no—
1236C23—21no—
1237C23—21no—
1238C23—41no—
1239C23—41no—
1240C23—41no—
1241C23—41no—
1242C23—41no—
1243C23—41no—
1244C23—41no—
1245C23—41no—
1246C23—41no—
1247C23—41no—
1248C23—41no—
1249C23—41no—
1250C23—41no—
1251C23—41no—
1252C23—41no—
1253C23—41no—
1254C23—41no—
1255C23—41no—
1256C23—41no—
1257C23—41no—
1258C23—41no—
1259C23—41no—
1260C23—41no—
1261C23—41no—
1262C23—41no—
1263C23—41no—
1264C23—84no—
1265C23—84no—
1266C23—162no—
1267C23—162no—
1268C23—162no—
1269C23—162no—
1270C23—162no—
1271C23D4212yes—
1272C23C23×D411yescharacteristic
1273Q8—41no—
1274Q8—41no—
1275Q8—41no—
1276Q8—41no—
1277Q8—41no—
1278Q8—41no—
1279Q8—41no—
1280Q8—41no—
1281Q8—82no—
1282Q8—162no—
1283D4—22no—
1284D4—22no—
1285D4—22no—
1286D4—22no—
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—82no—
1300D4—82no—
1301D4—82no—
1302D4—84no—
1303D4—84no—
1304D4—84no—
1305D4—84no—
1306D4—84no—
1307D4—162no—
1308D4—162no—
1309D4—162no—
1310D4—162no—
1311D4—162no—
1312D4—162no—
1313D4—162no—
1314D4—162no—
1315C2×C4—21no—
1316C2×C4—21no—
1317C2×C4—22no—
1318C2×C4—22no—
1319C2×C4—22no—
1320C2×C4—22no—
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—21no—
1341C2×C4—21no—
1342C2×C4—21no—
1343C2×C4—22no—
1344C2×C4—21no—
1345C2×C4—22no—
1346C2×C4—21no—
1347C2×C4—21no—
1348C2×C4—21no—
1349C2×C4—21no—
1350C2×C4—21no—
1351C2×C4—21no—
1352C2×C4—21no—
1353C2×C4—44no—
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—41no—
1391C2×C4—41no—
1392C2×C4—41no—
1393C2×C4—41no—
1394C2×C4—41no—
1395C2×C4—41no—
1396C2×C4—82no—
1397C2×C4—84no—
1398C2×C4—162no—
1399C2×C4—162no—
1400C2×C4—162no—
1401C2×C4—162no—
1402C2×C4—162no—
1403C2×C4—162no—
1404C2×C4D4212yes—
1405C2×C4C23×D411yescharacteristic
1406C2×C4C2×H(5,𝔽2)11yescharacteristic
1407C2×C4C2×H(5,𝔽2)11yescharacteristic
1408C2×C4#58511yescharacteristic
1409C2×C4#58511yescharacteristic
1410C2×C4#58511yescharacteristic
1411C8—22no—
1412C8—22no—
1413C8—22no—
1414C8—41no—
1415C8—41no—
1416C8—41no—
1417C8—41no—
1418C8—41no—
1419C22—22no—
1420C22—22no—
1421C22—22no—
1422C22—41no—
1423C22—41no—
1424C22—41no—
1425C22—41no—
1426C22—41no—
1427C22—41no—
1428C22—42no—
1429C22—42no—
1430C22—41no—
1431C22—41no—
1432C22—41no—
1433C22—41no—
1434C22—41no—
1435C22—41no—
1436C22—41no—
1437C22—41no—
1438C22—41no—
1439C22—42no—
1440C22—42no—
1441C22—42no—
1442C22—41no—
1443C22—41no—
1444C22—42no—
1445C22—41no—
1446C22—81no—
1447C22—81no—
1448C22—81no—
1449C22—81no—
1450C22—81no—
1451C22—81no—
1452C22—81no—
1453C22—81no—
1454C22—81no—
1455C22—81no—
1456C22—81no—
1457C22—81no—
1458C22—81no—
1459C22—81no—
1460C22—81no—
1461C22—81no—
1462C22—81no—
1463C22—81no—
1464C22—81no—
1465C22—81no—
1466C22—81no—
1467C22—81no—
1468C22—168no—
1469C22#344911yescharacteristic
1470C22C2×D4211yescharacteristic
1471C22#349611yescharacteristic
1472C22#358411yescharacteristic
1473C22#358411yescharacteristic
1474C22#358511yescharacteristic
1475C22#358511yescharacteristic
1476C4—22no—
1477C4—41no—
1478C4—41no—
1479C4—41no—
1480C4—41no—
1481C4—41no—
1482C4—41no—
1483C4—41no—
1484C4—41no—
1485C4—41no—
1486C4—41no—
1487C4—42no—
1488C4—42no—
1489C4—81no—
1490C4—81no—
1491C4—81no—
1492C4—81no—
1493C4—81no—
1494C4—81no—
1495C4—81no—
1496C4—81no—
1497C4—81no—
1498C4—81no—
1499C4#348511yescharacteristic
1500C4#348811yescharacteristic
1501C4#355811yescharacteristic
1502C4#356011yescharacteristic
1503C2—42no—
1504C2—81no—
1505C2—81no—
1506C2—82no—
1507C2—82no—
1508C2—161no—
1509C2—161no—
1510C2#3767811yescharacteristic
1511C2#6099711yescharacteristic
1512C2#6099811yescharacteristic
1513C2#6109211yescharacteristic
1514C2#6109211yescharacteristic
1515C2#6228211yescharacteristic
1516C2#6228311yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ #2297 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C2×#3198C2semidirect
2. C2×#3179C2semidirect
3. #39438C2semidirect
4. #39436C2semidirect
5. #33142C2semidirect
6. #30798C2semidirect
7. #30791C2semidirect
8. #30637C2semidirect
9. #30632C2semidirect
10. #30531C2semidirect
11. #30529C2semidirect
12. #30468C2semidirect
13. #30463C2semidirect
14. #30249C2semidirect
15. #29747C2semidirect
16. #26631C2semidirect
17. #26625C2semidirect
18. #26568C2semidirect
19. #26562C2semidirect
20. #25509C2semidirect
21. #25508C2semidirect
22. #25178C2semidirect
23. #25172C2semidirect
24. #24897C2semidirect
25. #24895C2semidirect
26. #24754C2semidirect
27. #24754C2semidirect
28. #24395C2semidirect
29. #24390C2semidirect
30. #22187C2semidirect
31. #21052C2semidirect
33. C2×#540C22semidirect
38. C2×#501C22semidirect
41. C2×#486C22semidirect
46. C2×#470C22semidirect
50. C2×#468C22semidirect
54. C2×#465C22semidirect
57. C2×#452C22semidirect
64. C2×#440C22semidirect
65. C2×C4×SD16C22semidirect
67. C22×C4⋊C8C22semidirect
70. C2×#405C22semidirect
72. #2850C22semidirect
81. #2625C22semidirect
95. #2442C22semidirect
98. #2431C22semidirect
106. #2361C22semidirect
107. #2339C22semidirect
110. C4×#121C22semidirect
112. #2097C22semidirect
113. #2097C22semidirect
115. #2092C22semidirect
117. #2075C22semidirect
118. #2068C22semidirect
119. #2068C22semidirect
121. #2065C22semidirect
122. #2059C22semidirect
123. #2058C22semidirect
125. #2055C22semidirect
129. #2041C22semidirect
130. #2036C22semidirect
135. #2034C22semidirect
139. #2024C22semidirect
142. #2015C22semidirect
149. #2000C22semidirect
153. #1983C22semidirect
156. #1949C22semidirect
157. #1949C22semidirect
158. #1944C22semidirect
159. #1942C22semidirect
161. #1935C22semidirect
163. #1933C22semidirect
165. #1926C22semidirect
168. #1924C22semidirect
169. #1924C22semidirect
172. #1923C22semidirect
173. #1923C22semidirect
174. #1919C22semidirect
175. #1919C22semidirect
177. #1895C22semidirect
179. #1893C22semidirect
180. #1892C22semidirect
181. #1892C22semidirect
186. #1878C22semidirect
189. #1872C22semidirect
190. #1865C22semidirect
192. #1864C22semidirect
194. #1862C22semidirect
195. #1862C22semidirect
197. #1853C22semidirect
198. #1809C22semidirect
200. #1804C22semidirect
201. #1788C22semidirect
203. #1729C22semidirect
204. #1728C22semidirect
291. #469D4semidirect

Maximal subgroups

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

subgroupindex
C2×#31982
C2×#31792
#394382
#394362
#331422
#307982
#307912
#306372
#306322
#305312
#305292
#304682
#304632
#302492
#297472
#266312
#266252
#265682
#265622
#255092
#255082
#251782
#251722
#248972
#248952
#247542
#243952
#243902
#221872
#210522