Finite Group Databasebeta

← #6685359

Subgroups — #6685359

Order 512.

1943 conjugacy classes of subgroups.

The subgroup lattice has 1482 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3197C211yesmaximal, characteristic, complemented
2C2×#3174C211yesmaximal, characteristic, complemented
3#37671C211yesmaximal, characteristic, complemented
4#37670C211yesmaximal, characteristic, complemented
5#33142C211yesmaximal, characteristic, complemented
6#30786C211yesmaximal, characteristic, complemented
7#30784C211yesmaximal, characteristic, complemented
8#30650C211yesmaximal, characteristic, complemented
9#30648C211yesmaximal, characteristic, complemented
10#30549C211yesmaximal, characteristic, complemented
11#30540C211yesmaximal, characteristic, complemented
12#30459C211yesmaximal, characteristic, complemented
13#30454C211yesmaximal, characteristic, complemented
14#30255C211yesmaximal, characteristic, complemented
15#29744C211yesmaximal, characteristic, complemented
16#26646C211yesmaximal, characteristic, complemented
17#26643C211yesmaximal, characteristic, complemented
18#26557C211yesmaximal, characteristic, complemented
19#26552C211yesmaximal, characteristic, complemented
20#25512C211yesmaximal, characteristic, complemented
21#25508C211yesmaximal, characteristic, complemented
22#25158C211yesmaximal, characteristic, complemented
23#25155C211yesmaximal, characteristic, complemented
24#24919C211yesmaximal, characteristic, complemented
25#24916C211yesmaximal, characteristic, complemented
26#24769C211yesmaximal, characteristic, complemented
27#24767C211yesmaximal, characteristic, complemented
28#24383C211yesmaximal, characteristic, complemented
29#24382C211yesmaximal, characteristic, complemented
30#22201C211yesmaximal, characteristic, complemented
31#21053C211yesmaximal, characteristic, complemented
32C2×#541C2211yescharacteristic
33C2×#540C2211yescharacteristic
34C2×#525C2211yescharacteristic
35C2×#525C2211yescharacteristic
36#3197—28no—
37#3174—28no—
38C2×#499C2211yescharacteristic, complemented
39C2×#492C2211yescharacteristic, complemented
40C2×#491C2211yescharacteristic, complemented
41C2×#490C2211yescharacteristic, complemented
42C2×#485C2211yescharacteristic
43C2×#485C2211yescharacteristic
44C2×#482C2211yescharacteristic
45C2×#482C2211yescharacteristic
46C2×#470C2211yescharacteristic
47C2×#469C2211yescharacteristic
48C2×#468C2211yescharacteristic
49C2×#468C2211yescharacteristic
50C2×#468C2211yescharacteristic
51C2×#467C2211yescharacteristic
52C2×#466C2211yescharacteristic
53C2×#465C2211yescharacteristic
54C2×#465C2211yescharacteristic
55C2×#464C2211yescharacteristic, complemented
56C2×#463C2211yescharacteristic, complemented
57C2×#452C2211yescharacteristic
58C2×#452C2211yescharacteristic
59C2×#452C2211yescharacteristic
60C2×#449C2211yescharacteristic
61C2×#449C2211yescharacteristic
62C2×#449C2211yescharacteristic
63C2×#440C2211yescharacteristic, complemented
64C2×#440C2211yescharacteristic, complemented
65C2×C4×SD16C2211yescharacteristic, complemented
66C2×C4×SD16C2211yescharacteristic, complemented
67C2×#424C2211yescharacteristic
68C2×#407C2211yescharacteristic
69C22×C22⋊C8C2211yescharacteristic
70C2×#405C2211yescharacteristic
71#2848C2211yescharacteristic
72#2847C2211yescharacteristic
73#2707—21no—
74#2706—21no—
75#2694—21no—
76#2693—21no—
77#2685—21no—
78#2685—21no—
79#2678—21no—
80#2668—21no—
81#2625C2211yescharacteristic
82#2624C2211yescharacteristic
83#2620C2211yescharacteristic
84#2620C2211yescharacteristic
85#2490C2211yescharacteristic
86#2489C2211yescharacteristic
87#2468—21no—
88#2466—21no—
89#2460—21no—
90#2457—21no—
91#2454—21no—
92#2444—21no—
93#2441C2211yescharacteristic
94#2441C2211yescharacteristic
95#2432C2211yescharacteristic
96#2431C2211yescharacteristic
97#2429C2211yescharacteristic
98#2428C2211yescharacteristic
99#2427C2211yescharacteristic
100#2426C2211yescharacteristic
101#2425—21no—
102#2423C2211yescharacteristic
103#2422C2211yescharacteristic
104#2420—21no—
105#2363C2211yescharacteristic
106#2362C2211yescharacteristic
107#2341C2211yescharacteristic
108#2339C2211yescharacteristic
109#2324C2211yescharacteristic
110#2323C2211yescharacteristic
111#2280C2211yescharacteristic
112#2095C2211yescharacteristic, complemented
113#2095C2211yescharacteristic, complemented
114#2093C2211yescharacteristic, complemented
115#2093C2211yescharacteristic, complemented
116#2076C2211yescharacteristic
117#2075C2211yescharacteristic
118#2066C2211yescharacteristic, complemented
119#2066C2211yescharacteristic, complemented
120#2065C2211yescharacteristic, complemented
121#2065C2211yescharacteristic, complemented
122#2059C2211yescharacteristic, complemented
123#2059C2211yescharacteristic, complemented
124#2056C2211yescharacteristic, complemented
125#2055C2211yescharacteristic, complemented
126#2055C2211yescharacteristic, complemented
127#2054C2211yescharacteristic, complemented
128#2043C2211yescharacteristic, complemented
129#2041C2211yescharacteristic, complemented
130#2036C2211yescharacteristic
131#2036C2211yescharacteristic
132#2035C2211yescharacteristic
133#2035C2211yescharacteristic
134#2034C2211yescharacteristic
135#2034C2211yescharacteristic
136#2033C2211yescharacteristic
137#2033C2211yescharacteristic
138#2026C2211yescharacteristic, complemented
139#2025C2211yescharacteristic, complemented
140#2016C2211yescharacteristic, complemented
141#2015C2211yescharacteristic, complemented
142#2015C2211yescharacteristic, complemented
143#2012C2211yescharacteristic, complemented
144#2012C2211yescharacteristic, complemented
145#2011C2211yescharacteristic, complemented
146#2001C2211yescharacteristic
147#2000C2211yescharacteristic
148#2000C2211yescharacteristic
149#2000C2211yescharacteristic
150#2000C2211yescharacteristic
151#1999C2211yescharacteristic
152#1983C2211yescharacteristic, complemented
153#1983C2211yescharacteristic, complemented
154#1973C2211yescharacteristic, complemented
155#1968C2211yescharacteristic, complemented
156#1948C2211yescharacteristic, complemented
157#1948C2211yescharacteristic, complemented
158#1944C2211yescharacteristic, complemented
159#1942C2211yescharacteristic, complemented
160#1936C2211yescharacteristic, complemented
161#1935C2211yescharacteristic, complemented
162#1934C2211yescharacteristic, complemented
163#1933C2211yescharacteristic, complemented
164#1928C2211yescharacteristic, complemented
165#1925C2211yescharacteristic, complemented
166#1924C2211yescharacteristic
167#1924C2211yescharacteristic
168#1924C2211yescharacteristic
169#1924C2211yescharacteristic
170#1923C2211yescharacteristic
171#1923C2211yescharacteristic
172#1923C2211yescharacteristic
173#1923C2211yescharacteristic
174#1921C2211yescharacteristic, complemented
175#1918C2211yescharacteristic, complemented
176#1895C2211yescharacteristic
177#1894C2211yescharacteristic
178#1893C2211yescharacteristic
179#1893C2211yescharacteristic
180#1892C2211yescharacteristic
181#1892C2211yescharacteristic
182#1880C2211yescharacteristic, complemented
183#1879C2211yescharacteristic, complemented
184#1879C2211yescharacteristic, complemented
185#1878C2211yescharacteristic, complemented
186#1878C2211yescharacteristic, complemented
187#1877C2211yescharacteristic, complemented
188#1875C2211yescharacteristic
189#1873C2211yescharacteristic
190#1865C2211yescharacteristic, complemented
191#1865C2211yescharacteristic, complemented
192#1864C2211yescharacteristic, complemented
193#1864C2211yescharacteristic, complemented
194#1863C2211yescharacteristic, complemented
195#1862C2211yescharacteristic, complemented
196#1854C2211yescharacteristic
197#1854C2211yescharacteristic
198#1809C2211yescharacteristic
199#1803C2211yescharacteristic, complemented
200#1802C2211yescharacteristic, complemented
201#1788C2211yescharacteristic
202#1788C2211yescharacteristic
203#1729C2211yescharacteristic
204#1729C2211yescharacteristic
205C22×#41C2311yescharacteristic
206C22×#41C2311yescharacteristic
207C24×C4C2311yescharacteristic
208C22×Q16C2311yescharacteristic
209C22×Q16C2311yescharacteristic
210C22×SD16C2311yescharacteristic
211C22×SD16C2311yescharacteristic
212C22×SD16C2311yescharacteristic
213C22×SD16C2311yescharacteristic
214C22×SD16C2311yescharacteristic
215C22×D8C2311yescharacteristic
216C22×D8C2311yescharacteristic
217C22×M16C2311yescharacteristic
218C22×M16C2311yescharacteristic
219C23×C8C2311yescharacteristic
220C23×C8C2311yescharacteristic
221#541—24no—
222#541—42no—
223#540—24no—
224#540—42no—
225C2×C4⋊Q8C2311yescharacteristic
226C2×#127C2311yescharacteristic
227C2×#126—21no—
228C2×#126—21no—
229C2×#125—21no—
230C2×#125—21no—
231C2×#125C2311yescharacteristic
232C2×#125C2311yescharacteristic
233C2×#124C2311yescharacteristic
234C2×#124C2311yescharacteristic
235#525—24no—
236#525—24no—
237#525—42no—
238#525—42no—
239C2×#123—21no—
240C2×#123—21no—
241C2×#123—21no—
242C2×#123—21no—
243C2×#123—21no—
244C2×C22⋊Q8C2311yescharacteristic
245C2×C22⋊Q8C2311yescharacteristic
246C2×C22⋊Q8C2311yescharacteristic
247C2×C22⋊Q8C2311yescharacteristic
248C2×C22⋊Q8C2311yescharacteristic
249C2×C22⋊Q8C2311yescharacteristic
250C2×C22⋊Q8C2311yescharacteristic
251C2×#121—21no—
252C2×#121—21no—
253C2×#121—21no—
254C2×#121C2311yescharacteristic
255C2×#121C2311yescharacteristic
256C2×#121C2311yescharacteristic
257C2×#121C2311yescharacteristic
258C2×#121C2311yescharacteristic
259C2×#121C2311yescharacteristic
260C2×#121C2311yescharacteristic
261C2×#120—21no—
262C2×#120—21no—
263C2×#120—21no—
264C2×C4×Q8C2311yescharacteristic
265C2×C4×Q8C2311yescharacteristic
266C2×C4×Q8C2311yescharacteristic
267C2×C4×D4—21no—
268C2×C4×D4—21no—
269C2×C4×D4—21no—
270C2×C4×D4—21no—
271C2×C4×D4C2311yescharacteristic
272C2×C4×D4C2311yescharacteristic
273C2×C4×D4C2311yescharacteristic
274C2×#117C2311yescharacteristic
275C2×#117C2311yescharacteristic
276C2×#117C2311yescharacteristic
277C2×#117C2311yescharacteristic
278#499—24no—
279#492—24no—
280#491—24no—
281#490—24no—
282#485—24no—
283#485—24no—
284#482—24no—
285#482—24no—
286#470—24no—
287#469—24no—
288#468—24no—
289#468—24no—
290#468D418yescomplemented
291#467—42no—
292#466—42no—
293#465—24no—
294#465—24no—
295#464—42no—
296#463—42no—
297#452—24no—
298#452—24no—
299#452—42no—
300#449—24no—
301#449—24no—
302#449—42no—
303#440—24no—
304#440—24no—
305C4×SD16—24no—
306C4×SD16—24no—
307C2×#107C2311yescharacteristic
308C2×#107C2311yescharacteristic
309C2×#107C2311yescharacteristic
310C2×#107C2311yescharacteristic
311C2×#107C2311yescharacteristic
312C2×#107C2311yescharacteristic
313C2×#106C2311yescharacteristic
314C2×#106C2311yescharacteristic
315C2×#106C2311yescharacteristic
316C2×#106C2311yescharacteristic
317C2×#106C2311yescharacteristic
318#424—42no—
319C2×C4⋊C8C2311yescharacteristic
320C2×C4⋊C8C2311yescharacteristic
321C2×C4⋊C8C2311yescharacteristic
322C2×C4⋊C8C2311yescharacteristic
323C2×#103C2311yescharacteristic
324C2×#103C2311yescharacteristic
325C2×#103C2311yescharacteristic
326C2×#103C2311yescharacteristic
327C2×#103C2311yescharacteristic
328C2×#103C2311yescharacteristic
329C2×#103C2311yescharacteristic
330C2×#103C2311yescharacteristic
331C2×#103C2311yescharacteristic
332C2×#103C2311yescharacteristic
333C2×#103C2311yescharacteristic
334C2×#103C2311yescharacteristic
335C2×#103C2311yescharacteristic
336C2×#103C2311yescharacteristic
337C2×#103C2311yescharacteristic
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
353#407—24no—
354C2×C22⋊C8—42no—
355C2×C22⋊C8C2311yescharacteristic
356C2×C22⋊C8C2311yescharacteristic
357C2×C22⋊C8C2311yescharacteristic
358C2×C22⋊C8C2311yescharacteristic
359C2×C22⋊C8C2311yescharacteristic
360C2×C22⋊C8C2311yescharacteristic
361C2×C22⋊C8C2311yescharacteristic
362C2×C22⋊C8C2311yescharacteristic
363#405—24no—
364C2×#97C2311yescharacteristic
365C2×#97C2311yescharacteristic
366C2×C4×C8C2311yescharacteristic
367C2×C4×C8C2311yescharacteristic
368#400—21no—
369#400—21no—
370#399—21no—
371#399—21no—
372#399—21no—
373#399—21no—
374#398—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#396—21no—
385#396—21no—
386#396—21no—
387#396—21no—
388#396—21no—
389#396—21no—
390#396—21no—
391#396—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#394—21no—
403#394—21no—
404#394—21no—
405#392—21no—
406#392—21no—
407#392—21no—
408#391C2311yescharacteristic
409#391C2311yescharacteristic
410#391C2311yescharacteristic
411#391C2311yescharacteristic
412#391C2311yescharacteristic
413#390—21no—
414#390—21no—
415#390—21no—
416#390—21no—
417#390—21no—
418#390—21no—
419#390C2311yescharacteristic
420#390C2311yescharacteristic
421#390C2311yescharacteristic
422#390C2311yescharacteristic
423#390C2311yescharacteristic
424#389—21no—
425#389—21no—
426#389—21no—
427#389—21no—
428#389C2311yescharacteristic
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#388—21no—
442#388—21no—
443#388—21no—
444#388—21no—
445#387—21no—
446#387—21no—
447#387—21no—
448#387—21no—
449#387—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#385—21no—
462#385—21no—
463#385—21no—
464#385—21no—
465#385—21no—
466#385—21no—
467#385—21no—
468#384C2311yescharacteristic
469#384C2311yescharacteristic
470#382—21no—
471#381—21no—
472#381D411yescharacteristic
473#381D411yescharacteristic
474#380—21no—
475#380—21no—
476#380D411yescharacteristic
477#380D411yescharacteristic
478#380D411yescharacteristic
479#380D411yescharacteristic
480#380C2311yescharacteristic
481#380C2311yescharacteristic
482#380C2311yescharacteristic
483#380C2311yescharacteristic
484#380C2311yescharacteristic
485#380C2311yescharacteristic
486#379—21no—
487#379D411yescharacteristic
488#379D411yescharacteristic
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
521C25C2×D411yescharacteristic
522C2×#41—22no—
523C2×#41—22no—
524C2×#41—41no—
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×Q8C2411yescharacteristic
535C22×Q8C2411yescharacteristic
536C22×Q8C2411yescharacteristic
537C22×D4—21no—
538C22×D4—21no—
539C22×D4—21no—
540C22×D4—21no—
541C22×D4—21no—
542C22×D4—21no—
543C22×D4—21no—
544C22×D4—21no—
545C22×D4—21no—
546C22×D4—21no—
547C22×D4—21no—
548C22×D4C2411yescharacteristic
549C22×D4C2411yescharacteristic
550C22×D4C2411yescharacteristic
551C23×C4—22no—
552C23×C4—22no—
553C23×C4—21no—
554C23×C4—21no—
555C23×C4—21no—
556C23×C4—21no—
557C23×C4—21no—
558C23×C4—41no—
559C23×C4—41no—
560C23×C4—41no—
561C23×C4—41no—
562C23×C4C2×D411yescharacteristic
563C23×C4C2×D411yescharacteristic
564C23×C4C2×D411yescharacteristic
565C23×C4C2411yescharacteristic
566C23×C4C2411yescharacteristic
567C23×C4C2411yescharacteristic
568C2×Q16—22no—
569C2×Q16—41no—
570C2×Q16—41no—
571C2×Q16—41no—
572C2×Q16—41no—
573C2×Q16—41no—
574C2×SD16—22no—
575C2×SD16—22no—
576C2×SD16—22no—
577C2×SD16—22no—
578C2×SD16—22no—
579C2×SD16—22no—
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×SD16C2×D414yes—
589C2×D8—22no—
590C2×D8—41no—
591C2×D8—41no—
592C2×D8—41no—
593C2×D8—41no—
594C2×D8—41no—
595C2×M16—22no—
596C2×M16—41no—
597C2×M16—41no—
598C2×M16—41no—
599C2×M16—41no—
600C2×M16C2×D414yes—
601C22×C8—22no—
602C22×C8—22no—
603C22×C8—22no—
604C22×C8—41no—
605C22×C8—41no—
606C22×C8—41no—
607C22×C8C2411yescharacteristic
608C22×C8C2411yescharacteristic
609C22×C8C2411yescharacteristic
610C22×C8C2411yescharacteristic
611C22×C8C2411yescharacteristic
612C22×C8C2411yescharacteristic
613C22×C8C2411yescharacteristic
614C22×C8C2411yescharacteristic
615C4⋊Q8—22no—
616C4⋊Q8—41no—
617#127—22no—
618#127—41no—
619#126—44no—
620#126—44no—
621#125—22no—
622#125—22no—
623#125—41no—
624#125—41no—
625#125—44no—
626#125—44no—
627#124—41no—
628#124—41no—
629#124—41no—
630#124—41no—
631#123—44no—
632#123—44no—
633#123—44no—
634#123—44no—
635#123—82no—
636C22⋊Q8—22no—
637C22⋊Q8—22no—
638C22⋊Q8—22no—
639C22⋊Q8—22no—
640C22⋊Q8—22no—
641C22⋊Q8—22no—
642C22⋊Q8—22no—
643C22⋊Q8—41no—
644C22⋊Q8—41no—
645C22⋊Q8—41no—
646C22⋊Q8—41no—
647C22⋊Q8—41no—
648C22⋊Q8—41no—
649C22⋊Q8C2×D414yes—
650#121—22no—
651#121—22no—
652#121—22no—
653#121—22no—
654#121—22no—
655#121—22no—
656#121—22no—
657#121—44no—
658#121—44no—
659#121—41no—
660#121—41no—
661#121—41no—
662#121—41no—
663#121—41no—
664#121—41no—
665#121—82no—
666#121C2×D414yes—
667#120—44no—
668#120—44no—
669#120—82no—
670C4×Q8—22no—
671C4×Q8—22no—
672C4×Q8—41no—
673C4×Q8—41no—
674C4×Q8—41no—
675C4×Q8—41no—
676C4×D4—22no—
677C4×D4—22no—
678C4×D4—41no—
679C4×D4—41no—
680C4×D4—41no—
681C4×D4—41no—
682C4×D4—44no—
683C4×D4—44no—
684C4×D4—44no—
685C4×D4—44no—
686#117—22no—
687#117—22no—
688#117—22no—
689#117—22no—
690#117—41no—
691#117—41no—
692#117—41no—
693#117—41no—
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—21no—
716C2×C4⋊C4—21no—
717C2×C4⋊C4—21no—
718C2×C4⋊C4—21no—
719C2×C4⋊C4—21no—
720C2×C4⋊C4C2×D411yescharacteristic
721C2×C4⋊C4C2×D411yescharacteristic
722C2×C4⋊C4C2×D411yescharacteristic
723C2×C4⋊C4C2×D411yescharacteristic
724C2×C4⋊C4C2411yescharacteristic
725C2×C4⋊C4C2411yescharacteristic
726C2×C4⋊C4C2411yescharacteristic
727C2×C4⋊C4C2411yescharacteristic
728C2×C4⋊C4C2411yescharacteristic
729C2×C4⋊C4C2411yescharacteristic
730C2×C4⋊C4C2411yescharacteristic
731C2×C4⋊C4C2411yescharacteristic
732C2×C4⋊C4C2411yescharacteristic
733C2×C4⋊C4C2411yescharacteristic
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⋊C4C2×D411yescharacteristic
774C2×C22⋊C4C2×D411yescharacteristic
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—21no—
790C2×C42—21no—
791C2×C42—21no—
792C2×C42C2411yescharacteristic
793C2×C42C2411yescharacteristic
794C2×C42C2411yescharacteristic
795C2×C42C2411yescharacteristic
796#107—22no—
797#107—22no—
798#107—41no—
799#107—41no—
800#107—41no—
801#107C2×D414yes—
802#106—22no—
803#106—22no—
804#106—22no—
805#106—22no—
806#106—41no—
807C4⋊C8—22no—
808C4⋊C8—22no—
809C4⋊C8—41no—
810C4⋊C8—41no—
811#103—22no—
812#103—22no—
813#103—22no—
814#103—22no—
815#103—22no—
816#103—22no—
817#103—22no—
818#103—41no—
819#103—41no—
820#103—41no—
821#103—41no—
822#103—41no—
823#103—41no—
824#103—41no—
825#103C2×D414yes—
826#102—22no—
827#102—22no—
828#102—22no—
829#102—22no—
830#102—22no—
831#102—22no—
832#102—22no—
833#102—41no—
834#102—41no—
835#102—41no—
836#102—41no—
837#102—41no—
838#102—41no—
839#102—41no—
840#102C2×D414yes—
841C22⋊C8—22no—
842C22⋊C8—22no—
843C22⋊C8—22no—
844C22⋊C8—22no—
845C22⋊C8—22no—
846C22⋊C8—22no—
847C22⋊C8—41no—
848C22⋊C8—41no—
849#97—22no—
850#97—22no—
851C4×C8—22no—
852C4×C8—22no—
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#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#95C2×D411yescharacteristic
878#95C2×D411yescharacteristic
879#95C2×D411yescharacteristic
880#95C2×D411yescharacteristic
881#95C2×D411yescharacteristic
882#95C2×D411yescharacteristic
883#95C2×D411yescharacteristic
884#95C2×D411yescharacteristic
885C24—21no—
886C24—22no—
887C24—21no—
888C24—21no—
889C24—41no—
890C24—41no—
891C24—41no—
892C24—41no—
893C24—41no—
894C24—41no—
895C24C22×D411yescharacteristic
896C24C22×D411yescharacteristic
897C24C22×D411yescharacteristic
898#41—82no—
899#41—82no—
900#41—82no—
901#41—82no—
902#41—82no—
903#41—82no—
904#41—82no—
905#41—82no—
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×Q8C22×D412yes—
924C2×D4—24no—
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—42no—
943C2×D4—42no—
944C2×D4—42no—
945C2×D4—42no—
946C2×D4—42no—
947C2×D4—42no—
948C2×D4—42no—
949C2×D4—42no—
950C2×D4—42no—
951C2×D4—42no—
952C2×D4—42no—
953C2×D4—42no—
954C2×D4—42no—
955C2×D4—42no—
956C2×D4—81no—
957C2×D4—81no—
958C2×D4—81no—
959C2×D4—81no—
960C2×D4—81no—
961C2×D4—81no—
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—81no—
974C2×D4C22×D412yes—
975C22×C4—21no—
976C22×C4—21no—
977C22×C4—21no—
978C22×C4—21no—
979C22×C4—21no—
980C22×C4—21no—
981C22×C4—21no—
982C22×C4—22no—
983C22×C4—21no—
984C22×C4—21no—
985C22×C4—21no—
986C22×C4—21no—
987C22×C4—21no—
988C22×C4—21no—
989C22×C4—21no—
990C22×C4—21no—
991C22×C4—21no—
992C22×C4—21no—
993C22×C4—21no—
994C22×C4—21no—
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—41no—
1008C22×C4—41no—
1009C22×C4—41no—
1010C22×C4—41no—
1011C22×C4—41no—
1012C22×C4—41no—
1013C22×C4—42no—
1014C22×C4—42no—
1015C22×C4—42no—
1016C22×C4—42no—
1017C22×C4—42no—
1018C22×C4—42no—
1019C22×C4—82no—
1020C22×C4—82no—
1021C22×C4—82no—
1022C22×C4—82no—
1023C22×C4—81no—
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×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×C4C22×D411yescharacteristic
1043C22×C4C22×D412yes—
1044C22×C4H(5,𝔽2)12yes—
1045C22×C4C2511yescharacteristic
1046Q16—82no—
1047Q16—82no—
1048SD16—44no—
1049SD16—44no—
1050SD16—44no—
1051SD16—44no—
1052SD16—82no—
1053D8—82no—
1054D8—82no—
1055M16—44no—
1056M16—82no—
1057C2×C8—21no—
1058C2×C8—21no—
1059C2×C8—21no—
1060C2×C8—21no—
1061C2×C8—21no—
1062C2×C8—21no—
1063C2×C8—21no—
1064C2×C8—21no—
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—44no—
1079C2×C8—82no—
1080C2×C8C22×D412yes—
1081C2×C8C22×D412yes—
1082C2×C8H(5,𝔽2)12yes—
1083C4⋊C4—24no—
1084C4⋊C4—22no—
1085C4⋊C4—22no—
1086C4⋊C4—21no—
1087C4⋊C4—21no—
1088C4⋊C4—21no—
1089C4⋊C4—21no—
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—41no—
1105C4⋊C4—41no—
1106C4⋊C4—42no—
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—42no—
1117C4⋊C4—42no—
1118C4⋊C4—42no—
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⋊C4C22×D412yes—
1132C4⋊C4C22×D412yes—
1133C22⋊C4—24no—
1134C22⋊C4—22no—
1135C22⋊C4—22no—
1136C22⋊C4—24no—
1137C22⋊C4—41no—
1138C22⋊C4—41no—
1139C22⋊C4—41no—
1140C22⋊C4—41no—
1141C22⋊C4—41no—
1142C22⋊C4—41no—
1143C22⋊C4—41no—
1144C22⋊C4—41no—
1145C22⋊C4—41no—
1146C22⋊C4—41no—
1147C22⋊C4—42no—
1148C22⋊C4—42no—
1149C22⋊C4—42no—
1150C22⋊C4—42no—
1151C22⋊C4—42no—
1152C22⋊C4—42no—
1153C22⋊C4—42no—
1154C22⋊C4—42no—
1155C22⋊C4—42no—
1156C22⋊C4—42no—
1157C22⋊C4—42no—
1158C22⋊C4—42no—
1159C22⋊C4—42no—
1160C22⋊C4—42no—
1161C22⋊C4—42no—
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—
1184C42—21no—
1185C42—21no—
1186C42—21no—
1187C42—21no—
1188C42—21no—
1189C42—21no—
1190C42—21no—
1191C42—21no—
1192C42—42no—
1193C42—42no—
1194C42—42no—
1195C42—42no—
1196C42—81no—
1197C42—81no—
1198C42—81no—
1199C23—21no—
1200C23—21no—
1201C23—21no—
1202C23—21no—
1203C23—21no—
1204C23—21no—
1205C23—21no—
1206C23—21no—
1207C23—21no—
1208C23—21no—
1209C23—21no—
1210C23—21no—
1211C23—21no—
1212C23—21no—
1213C23—21no—
1214C23—21no—
1215C23—22no—
1216C23—21no—
1217C23—21no—
1218C23—21no—
1219C23—21no—
1220C23—44no—
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—82no—
1242C23—82no—
1243C23—82no—
1244C23—82no—
1245C23—82no—
1246C23—82no—
1247C23D4212yes—
1248C23C23×D411yescharacteristic
1249Q8—22no—
1250Q8—22no—
1251Q8—41no—
1252Q8—41no—
1253Q8—41no—
1254Q8—41no—
1255Q8—41no—
1256Q8—41no—
1257Q8—41no—
1258Q8—41no—
1259Q8—41no—
1260Q8—41no—
1261D4—22no—
1262D4—22no—
1263D4—41no—
1264D4—41no—
1265D4—41no—
1266D4—41no—
1267D4—41no—
1268D4—41no—
1269D4—41no—
1270D4—41no—
1271D4—41no—
1272D4—41no—
1273D4—84no—
1274D4—84no—
1275D4—84no—
1276D4—84no—
1277D4—84no—
1278D4—84no—
1279D4—162no—
1280D4—162no—
1281D4—162no—
1282D4—162no—
1283D4—162no—
1284C2×C4—21no—
1285C2×C4—21no—
1286C2×C4—22no—
1287C2×C4—22no—
1288C2×C4—22no—
1289C2×C4—22no—
1290C2×C4—21no—
1291C2×C4—21no—
1292C2×C4—21no—
1293C2×C4—21no—
1294C2×C4—21no—
1295C2×C4—21no—
1296C2×C4—21no—
1297C2×C4—21no—
1298C2×C4—21no—
1299C2×C4—21no—
1300C2×C4—21no—
1301C2×C4—21no—
1302C2×C4—21no—
1303C2×C4—21no—
1304C2×C4—21no—
1305C2×C4—21no—
1306C2×C4—21no—
1307C2×C4—21no—
1308C2×C4—21no—
1309C2×C4—21no—
1310C2×C4—21no—
1311C2×C4—21no—
1312C2×C4—22no—
1313C2×C4—21no—
1314C2×C4—21no—
1315C2×C4—22no—
1316C2×C4—22no—
1317C2×C4—21no—
1318C2×C4—21no—
1319C2×C4—21no—
1320C2×C4—21no—
1321C2×C4—21no—
1322C2×C4—21no—
1323C2×C4—41no—
1324C2×C4—41no—
1325C2×C4—41no—
1326C2×C4—41no—
1327C2×C4—41no—
1328C2×C4—41no—
1329C2×C4—41no—
1330C2×C4—41no—
1331C2×C4—41no—
1332C2×C4—41no—
1333C2×C4—41no—
1334C2×C4—41no—
1335C2×C4—41no—
1336C2×C4—41no—
1337C2×C4—41no—
1338C2×C4—41no—
1339C2×C4—41no—
1340C2×C4—41no—
1341C2×C4—41no—
1342C2×C4—41no—
1343C2×C4—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—82no—
1368C2×C4—82no—
1369C2×C4—82no—
1370C2×C4—84no—
1371C2×C4—84no—
1372C2×C4—162no—
1373C2×C4—162no—
1374C2×C4—162no—
1375C2×C4D4212yes—
1376C2×C4C23×D411yescharacteristic
1377C2×C4C2×H(5,𝔽2)11yescharacteristic
1378C2×C4C2×H(5,𝔽2)11yescharacteristic
1379C2×C4#58511yescharacteristic
1380C2×C4#58511yescharacteristic
1381C2×C4#58511yescharacteristic
1382C8—22no—
1383C8—22no—
1384C8—22no—
1385C8—41no—
1386C8—41no—
1387C8—41no—
1388C8—41no—
1389C8—41no—
1390C22—22no—
1391C22—22no—
1392C22—22no—
1393C22—41no—
1394C22—41no—
1395C22—41no—
1396C22—41no—
1397C22—41no—
1398C22—41no—
1399C22—42no—
1400C22—41no—
1401C22—41no—
1402C22—41no—
1403C22—41no—
1404C22—41no—
1405C22—41no—
1406C22—41no—
1407C22—41no—
1408C22—41no—
1409C22—42no—
1410C22—41no—
1411C22—42no—
1412C22—41no—
1413C22—41no—
1414C22—88no—
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#344911yescharacteristic
1434C22C2×D4211yescharacteristic
1435C22#349611yescharacteristic
1436C22#358411yescharacteristic
1437C22#358411yescharacteristic
1438C22#358511yescharacteristic
1439C22#358611yescharacteristic
1440C4—22no—
1441C4—41no—
1442C4—41no—
1443C4—42no—
1444C4—41no—
1445C4—41no—
1446C4—41no—
1447C4—41no—
1448C4—41no—
1449C4—41no—
1450C4—42no—
1451C4—42no—
1452C4—41no—
1453C4—41no—
1454C4—81no—
1455C4—81no—
1456C4—81no—
1457C4—81no—
1458C4—81no—
1459C4—81no—
1460C4—81no—
1461C4—81no—
1462C4—81no—
1463C4—81no—
1464C4#348511yescharacteristic
1465C4#348811yescharacteristic
1466C4#355811yescharacteristic
1467C4#356011yescharacteristic
1468C2—42no—
1469C2—81no—
1470C2—81no—
1471C2—82no—
1472C2—161no—
1473C2—161no—
1474C2#3767811yescharacteristic
1475C2#6098611yescharacteristic
1476C2#6098711yescharacteristic
1477C2#6107311yescharacteristic
1478C2#6107711yescharacteristic
1479C2#6227411yescharacteristic
1480C2#6228911yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ #2280 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C2×#3197C2semidirect
2. C2×#3174C2semidirect
3. #37671C2semidirect
4. #37670C2semidirect
5. #33142C2semidirect
6. #30786C2semidirect
7. #30784C2semidirect
8. #30650C2semidirect
9. #30648C2semidirect
10. #30549C2semidirect
11. #30540C2semidirect
12. #30459C2semidirect
13. #30454C2semidirect
14. #30255C2semidirect
15. #29744C2semidirect
16. #26646C2semidirect
17. #26643C2semidirect
18. #26557C2semidirect
19. #26552C2semidirect
20. #25512C2semidirect
21. #25508C2semidirect
22. #25158C2semidirect
23. #25155C2semidirect
24. #24919C2semidirect
25. #24916C2semidirect
26. #24769C2semidirect
27. #24767C2semidirect
28. #24383C2semidirect
29. #24382C2semidirect
30. #22201C2semidirect
31. #21053C2semidirect
38. C2×#499C22semidirect
39. C2×#492C22semidirect
40. C2×#491C22semidirect
41. C2×#490C22semidirect
55. C2×#464C22semidirect
56. C2×#463C22semidirect
63. C2×#440C22semidirect
64. C2×#440C22semidirect
65. C2×C4×SD16C22semidirect
66. C2×C4×SD16C22semidirect
112. #2095C22semidirect
113. #2095C22semidirect
114. #2093C22semidirect
115. #2093C22semidirect
118. #2066C22semidirect
119. #2066C22semidirect
120. #2065C22semidirect
121. #2065C22semidirect
122. #2059C22semidirect
123. #2059C22semidirect
124. #2056C22semidirect
125. #2055C22semidirect
126. #2055C22semidirect
127. #2054C22semidirect
128. #2043C22semidirect
129. #2041C22semidirect
138. #2026C22semidirect
139. #2025C22semidirect
140. #2016C22semidirect
141. #2015C22semidirect
142. #2015C22semidirect
143. #2012C22semidirect
144. #2012C22semidirect
145. #2011C22semidirect
152. #1983C22semidirect
153. #1983C22semidirect
154. #1973C22semidirect
155. #1968C22semidirect
156. #1948C22semidirect
157. #1948C22semidirect
158. #1944C22semidirect
159. #1942C22semidirect
160. #1936C22semidirect
161. #1935C22semidirect
162. #1934C22semidirect
163. #1933C22semidirect
164. #1928C22semidirect
165. #1925C22semidirect
174. #1921C22semidirect
175. #1918C22semidirect
182. #1880C22semidirect
183. #1879C22semidirect
184. #1879C22semidirect
185. #1878C22semidirect
186. #1878C22semidirect
187. #1877C22semidirect
190. #1865C22semidirect
191. #1865C22semidirect
192. #1864C22semidirect
193. #1864C22semidirect
194. #1863C22semidirect
195. #1862C22semidirect
199. #1803C22semidirect
200. #1802C22semidirect
290. #468D4semidirect

Maximal subgroups

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

subgroupindex
C2×#31972
C2×#31742
#376712
#376702
#331422
#307862
#307842
#306502
#306482
#305492
#305402
#304592
#304542
#302552
#297442
#266462
#266432
#265572
#265522
#255122
#255082
#251582
#251552
#249192
#249162
#247692
#247672
#243832
#243822
#222012
#210532