Finite Group Databasebeta

← #6685391

Subgroups — #6685391

Order 512.

1990 conjugacy classes of subgroups.

The subgroup lattice has 1517 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3191C211yesmaximal, characteristic, complemented
2C2×#3179C211yesmaximal, characteristic, complemented
3#37670C211yesmaximal, characteristic, complemented
4#37669C211yesmaximal, characteristic, complemented
5#33137C211yesmaximal, characteristic, complemented
6#30798C211yesmaximal, characteristic, complemented
7#30796C211yesmaximal, characteristic, complemented
8#30644C211yesmaximal, characteristic, complemented
9#30630C211yesmaximal, characteristic, complemented
10#30529C211yesmaximal, characteristic, complemented
11#30524C211yesmaximal, characteristic, complemented
12#30475C211yesmaximal, characteristic, complemented
13#30462C211yesmaximal, characteristic, complemented
14#30251C211yesmaximal, characteristic, complemented
15#29732C211yesmaximal, characteristic, complemented
16#26635C211yesmaximal, characteristic, complemented
17#26634C211yesmaximal, characteristic, complemented
18#26556C211yesmaximal, characteristic, complemented
19#26549C211yesmaximal, characteristic, complemented
20#25514C211yesmaximal, characteristic, complemented
21#25508C211yesmaximal, characteristic, complemented
22#25162C211yesmaximal, characteristic, complemented
23#25155C211yesmaximal, characteristic, complemented
24#24923C211yesmaximal, characteristic, complemented
25#24916C211yesmaximal, characteristic, complemented
26#24765C211yesmaximal, characteristic, complemented
27#24762C211yesmaximal, characteristic, complemented
28#24388C211yesmaximal, characteristic, complemented
29#24388C211yesmaximal, characteristic, complemented
30#22195C211yesmaximal, characteristic, complemented
31#21050C211yesmaximal, characteristic, complemented
32C2×#542C2211yescharacteristic
33C2×#540C2211yescharacteristic
34C2×#525C2211yescharacteristic
35C2×#525C2211yescharacteristic
36#3191—28no—
37#3179—28no—
38C2×#501C2211yescharacteristic, complemented
39C2×#496C2211yescharacteristic, complemented
40C2×#488C2211yescharacteristic, complemented
41C2×#486C2211yescharacteristic, complemented
42C2×#485C2211yescharacteristic
43C2×#485C2211yescharacteristic
44C2×#482C2211yescharacteristic
45C2×#482C2211yescharacteristic
46C2×#469C2211yescharacteristic
47C2×#469C2211yescharacteristic
48C2×#468C2211yescharacteristic
49C2×#468C2211yescharacteristic
50C2×#467C2211yescharacteristic
51C2×#466C2211yescharacteristic
52C2×#466C2211yescharacteristic
53C2×#465C2211yescharacteristic
54C2×#465C2211yescharacteristic
55C2×#464C2211yescharacteristic, complemented
56C2×#459C2211yescharacteristic, complemented
57C2×#452C2211yescharacteristic
58C2×#452C2211yescharacteristic
59C2×#449C2211yescharacteristic
60C2×#449C2211yescharacteristic
61C2×#449C2211yescharacteristic
62C2×#449C2211yescharacteristic
63C2×#442C2211yescharacteristic, complemented
64C2×#440C2211yescharacteristic, complemented
65C2×C4×SD16C2211yescharacteristic, complemented
66C2×C4×D8C2211yescharacteristic, complemented
67C2×#424C2211yescharacteristic
68C2×#407C2211yescharacteristic
69C22×C22⋊C8C2211yescharacteristic
70C2×#405C2211yescharacteristic
71#2847C2211yescharacteristic
72#2847C2211yescharacteristic
73#2706—21no—
74#2705—21no—
75#2696—21no—
76#2693—21no—
77#2678—21no—
78#2678—21no—
79#2670—21no—
80#2668—21no—
81#2625C2211yescharacteristic
82#2624C2211yescharacteristic
83#2620C2211yescharacteristic
84#2619C2211yescharacteristic
85#2491C2211yescharacteristic
86#2489C2211yescharacteristic
87#2467—21no—
88#2459—21no—
89#2457—21no—
90#2457—21no—
91#2444—21no—
92#2441C2211yescharacteristic
93#2439C2211yescharacteristic
94#2431C2211yescharacteristic
95#2431C2211yescharacteristic
96#2428C2211yescharacteristic
97#2428C2211yescharacteristic
98#2427—21no—
99#2427C2211yescharacteristic
100#2426C2211yescharacteristic
101#2425—21no—
102#2422C2211yescharacteristic
103#2421C2211yescharacteristic
104#2420—21no—
105#2363C2211yescharacteristic
106#2363C2211yescharacteristic
107#2341C2211yescharacteristic
108#2339C2211yescharacteristic
109#2324C2211yescharacteristic
110#2323C2211yescharacteristic
111#2280C2211yescharacteristic
112#2097C2211yescharacteristic, complemented
113#2094C2211yescharacteristic, complemented
114#2093C2211yescharacteristic, complemented
115#2092C2211yescharacteristic, complemented
116#2076C2211yescharacteristic
117#2076C2211yescharacteristic
118#2068C2211yescharacteristic, complemented
119#2067C2211yescharacteristic, complemented
120#2067C2211yescharacteristic, complemented
121#2065C2211yescharacteristic, complemented
122#2059C2211yescharacteristic, complemented
123#2057C2211yescharacteristic, complemented
124#2056C2211yescharacteristic, complemented
125#2055C2211yescharacteristic, complemented
126#2054C2211yescharacteristic, complemented
127#2054C2211yescharacteristic, complemented
128#2042C2211yescharacteristic, complemented
129#2041C2211yescharacteristic, complemented
130#2035C2211yescharacteristic
131#2035C2211yescharacteristic
132#2034C2211yescharacteristic
133#2034C2211yescharacteristic
134#2034C2211yescharacteristic
135#2034C2211yescharacteristic
136#2033C2211yescharacteristic
137#2033C2211yescharacteristic
138#2025C2211yescharacteristic, complemented
139#2024C2211yescharacteristic, complemented
140#2015C2211yescharacteristic, complemented
141#2014C2211yescharacteristic, complemented
142#2012C2211yescharacteristic, complemented
143#2012C2211yescharacteristic, complemented
144#2011C2211yescharacteristic, complemented
145#2011C2211yescharacteristic, complemented
146#2000C2211yescharacteristic
147#2000C2211yescharacteristic
148#1999C2211yescharacteristic
149#1999C2211yescharacteristic
150#1999C2211yescharacteristic
151#1999C2211yescharacteristic
152#1983C2211yescharacteristic, complemented
153#1982C2211yescharacteristic, complemented
154#1968C2211yescharacteristic, complemented
155#1968C2211yescharacteristic, complemented
156#1949C2211yescharacteristic, complemented
157#1947C2211yescharacteristic, complemented
158#1941C2211yescharacteristic, complemented
159#1941C2211yescharacteristic, complemented
160#1936C2211yescharacteristic, complemented
161#1936C2211yescharacteristic, complemented
162#1935C2211yescharacteristic, complemented
163#1935C2211yescharacteristic, complemented
164#1927C2211yescharacteristic, complemented
165#1926C2211yescharacteristic, complemented
166#1924C2211yescharacteristic
167#1924C2211yescharacteristic
168#1924C2211yescharacteristic
169#1924C2211yescharacteristic
170#1923C2211yescharacteristic
171#1923C2211yescharacteristic
172#1923C2211yescharacteristic
173#1923C2211yescharacteristic
174#1920C2211yescharacteristic, complemented
175#1919C2211yescharacteristic, complemented
176#1895C2211yescharacteristic
177#1895C2211yescharacteristic
178#1894C2211yescharacteristic
179#1894C2211yescharacteristic
180#1893C2211yescharacteristic
181#1893C2211yescharacteristic
182#1880C2211yescharacteristic, complemented
183#1879C2211yescharacteristic, complemented
184#1879C2211yescharacteristic, complemented
185#1878C2211yescharacteristic, complemented
186#1877C2211yescharacteristic, complemented
187#1877C2211yescharacteristic, complemented
188#1875C2211yescharacteristic
189#1875C2211yescharacteristic
190#1865C2211yescharacteristic, complemented
191#1864C2211yescharacteristic, complemented
192#1864C2211yescharacteristic, complemented
193#1863C2211yescharacteristic, complemented
194#1862C2211yescharacteristic, complemented
195#1862C2211yescharacteristic, complemented
196#1854C2211yescharacteristic
197#1854C2211yescharacteristic
198#1807C2211yescharacteristic
199#1804C2211yescharacteristic, complemented
200#1803C2211yescharacteristic, complemented
201#1788C2211yescharacteristic
202#1788C2211yescharacteristic
203#1729C2211yescharacteristic
204#1729C2211yescharacteristic
205C22×#41C2311yescharacteristic
206C22×#41C2311yescharacteristic
207C24×C4C2311yescharacteristic
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—
225C2×C4⋊Q8C2311yescharacteristic
226C2×#127C2311yescharacteristic
227C2×#127C2311yescharacteristic
228C2×#126—21no—
229C2×#125C2311yescharacteristic
230C2×#124—21no—
231C2×#124—21no—
232C2×#124C2311yescharacteristic
233C2×#124C2311yescharacteristic
234#525—24no—
235#525—24no—
236#525—42no—
237#525—42no—
238C2×#123—21no—
239C2×#123—21no—
240C2×#123—21no—
241C2×#123—21no—
242C2×#123—21no—
243C2×#123—21no—
244C2×C22⋊Q8—21no—
245C2×C22⋊Q8C2311yescharacteristic
246C2×C22⋊Q8C2311yescharacteristic
247C2×C22⋊Q8C2311yescharacteristic
248C2×C22⋊Q8C2311yescharacteristic
249C2×#121—21no—
250C2×#121—21no—
251C2×#121—21no—
252C2×#121—21no—
253C2×#121C2311yescharacteristic
254C2×#121C2311yescharacteristic
255C2×#121C2311yescharacteristic
256C2×#121C2311yescharacteristic
257C2×#121C2311yescharacteristic
258C2×#121C2311yescharacteristic
259C2×#121C2311yescharacteristic
260C2×#121C2311yescharacteristic
261C2×#121C2311yescharacteristic
262C2×#121C2311yescharacteristic
263C2×#120—21no—
264C2×#120—21no—
265C2×#120—21no—
266C2×#120—21no—
267C2×C4×Q8C2311yescharacteristic
268C2×C4×Q8C2311yescharacteristic
269C2×C4×D4—21no—
270C2×C4×D4—21no—
271C2×C4×D4—21no—
272C2×C4×D4—21no—
273C2×C4×D4C2311yescharacteristic
274C2×C4×D4C2311yescharacteristic
275C2×C4×D4C2311yescharacteristic
276C2×C4×D4C2311yescharacteristic
277C2×#117C2311yescharacteristic
278C2×#117C2311yescharacteristic
279C2×#117C2311yescharacteristic
280C2×#117C2311yescharacteristic
281#501—24no—
282#496—24no—
283#488—24no—
284#486—24no—
285#485—24no—
286#485—24no—
287#482—24no—
288#482—24no—
289#469—24no—
290#469—42no—
291#468—24no—
292#468—42no—
293#467—24no—
294#466—24no—
295#466—24no—
296#465—24no—
297#465D418yescomplemented
298#464—42no—
299#459—42no—
300#452—24no—
301#452—24no—
302#449—24no—
303#449—24no—
304#449—42no—
305#449—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
321#424—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#407—42no—
357C2×C22⋊C8—24no—
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#399—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#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#393—21no—
402#393—21no—
403#392—21no—
404#392—21no—
405#392—21no—
406#392—21no—
407#392—21no—
408#392—21no—
409#392—21no—
410#392—21no—
411#391—21no—
412#391C2311yescharacteristic
413#391C2311yescharacteristic
414#391C2311yescharacteristic
415#391C2311yescharacteristic
416#390—21no—
417#390—21no—
418#390—21no—
419#390—21no—
420#390—21no—
421#390—21no—
422#390C2311yescharacteristic
423#390C2311yescharacteristic
424#390C2311yescharacteristic
425#390C2311yescharacteristic
426#390C2311yescharacteristic
427#390C2311yescharacteristic
428#389—21no—
429#389—21no—
430#389C2311yescharacteristic
431#389C2311yescharacteristic
432#389C2311yescharacteristic
433#389C2311yescharacteristic
434#389C2311yescharacteristic
435#389C2311yescharacteristic
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#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#386—21no—
466#386—21no—
467#385—21no—
468#385—21no—
469#384C2311yescharacteristic
470#382—21no—
471#382C2311yescharacteristic
472#381—21no—
473#381D411yescharacteristic
474#381D411yescharacteristic
475#380—21no—
476#380—21no—
477#380D411yescharacteristic
478#380D411yescharacteristic
479#380D411yescharacteristic
480#380D411yescharacteristic
481#380C2311yescharacteristic
482#380C2311yescharacteristic
483#380C2311yescharacteristic
484#380C2311yescharacteristic
485#380C2311yescharacteristic
486#380C2311yescharacteristic
487#379D411yescharacteristic
488#379D411yescharacteristic
489C4×C4⋊C4C2311yescharacteristic
490C4×C4⋊C4C2311yescharacteristic
491C4×C22⋊C4—21no—
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×Q8—21no—
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×D4—21no—
549C22×D4—21no—
550C22×D4—21no—
551C22×D4—21no—
552C22×D4—21no—
553C22×D4C2411yescharacteristic
554C22×D4C2411yescharacteristic
555C22×D4C2411yescharacteristic
556C22×D4C2411yescharacteristic
557C23×C4—22no—
558C23×C4—22no—
559C23×C4—21no—
560C23×C4—21no—
561C23×C4—21no—
562C23×C4—21no—
563C23×C4—21no—
564C23×C4—21no—
565C23×C4—41no—
566C23×C4—41no—
567C23×C4—41no—
568C23×C4—41no—
569C23×C4C2×D411yescharacteristic
570C23×C4C2×D411yescharacteristic
571C23×C4C2×D411yescharacteristic
572C23×C4C2411yescharacteristic
573C23×C4C2411yescharacteristic
574C23×C4C2411yescharacteristic
575C2×Q16—22no—
576C2×Q16—41no—
577C2×Q16—41no—
578C2×SD16—22no—
579C2×SD16—22no—
580C2×SD16—22no—
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×SD16C2×D414yes—
590C2×D8—22no—
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×M16—22no—
603C2×M16—22no—
604C2×M16—22no—
605C2×M16—41no—
606C2×M16—41no—
607C2×M16—41no—
608C22×C8—22no—
609C22×C8—41no—
610C22×C8—41no—
611C22×C8—41no—
612C22×C8—41no—
613C22×C8C2×D414yes—
614C22×C8C2411yescharacteristic
615C22×C8C2411yescharacteristic
616C22×C8C2411yescharacteristic
617C22×C8C2411yescharacteristic
618C22×C8C2411yescharacteristic
619C22×C8C2411yescharacteristic
620C22×C8C2411yescharacteristic
621C22×C8C2411yescharacteristic
622C4⋊Q8—22no—
623C4⋊Q8—41no—
624#127—22no—
625#127—41no—
626#127—41no—
627#127—41no—
628#126—44no—
629#125—22no—
630#125—41no—
631#124—22no—
632#124—41no—
633#124—41no—
634#124—41no—
635#124—44no—
636#124—82no—
637#123—44no—
638#123—44no—
639#123—44no—
640#123—44no—
641#123—44no—
642#123—82no—
643C22⋊Q8—22no—
644C22⋊Q8—22no—
645C22⋊Q8—22no—
646C22⋊Q8—22no—
647C22⋊Q8—22no—
648C22⋊Q8—44no—
649C22⋊Q8—41no—
650C22⋊Q8—41no—
651C22⋊Q8C2×D414yes—
652#121—22no—
653#121—22no—
654#121—22no—
655#121—22no—
656#121—22no—
657#121—22no—
658#121—22no—
659#121—22no—
660#121—22no—
661#121—44no—
662#121—44no—
663#121—41no—
664#121—41no—
665#121—41no—
666#121—41no—
667#121—41no—
668#121—41no—
669#121—41no—
670#121—41no—
671#121—41no—
672#121—41no—
673#121—82no—
674#121—82no—
675#121C2×D414yes—
676#120—44no—
677#120—44no—
678#120—82no—
679#120—82no—
680C4×Q8—22no—
681C4×Q8—41no—
682C4×Q8—41no—
683C4×Q8—41no—
684C4×D4—22no—
685C4×D4—22no—
686C4×D4—22no—
687C4×D4—41no—
688C4×D4—41no—
689C4×D4—41no—
690C4×D4—41no—
691C4×D4—41no—
692C4×D4—44no—
693C4×D4—44no—
694C4×D4—44no—
695C4×D4—44no—
696#117—22no—
697#117—22no—
698#117—22no—
699#117—22no—
700#117—41no—
701#117—41no—
702#117—41no—
703#117—41no—
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⋊C4—21no—
721C2×C4⋊C4C2×D411yescharacteristic
722C2×C4⋊C4C2×D411yescharacteristic
723C2×C4⋊C4C2×D411yescharacteristic
724C2×C4⋊C4C2×D411yescharacteristic
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×C4⋊C4C2411yescharacteristic
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⋊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×C22⋊C4C2×D411yescharacteristic
786C2×C22⋊C4C2×D411yescharacteristic
787C2×C22⋊C4C2×D411yescharacteristic
788C2×C22⋊C4C2×D411yescharacteristic
789C2×C42—21no—
790C2×C42—21no—
791C2×C42—21no—
792C2×C42—21no—
793C2×C42—21no—
794C2×C42—21no—
795C2×C42C2411yescharacteristic
796C2×C42C2411yescharacteristic
797C2×C42C2411yescharacteristic
798C2×C42C2411yescharacteristic
799#107—22no—
800#107—22no—
801#107—22no—
802#107—22no—
803#107—41no—
804#106—22no—
805#106—22no—
806#106—41no—
807#106—41no—
808#106—41no—
809#106C2×D414yes—
810C4⋊C8—22no—
811C4⋊C8—22no—
812C4⋊C8—41no—
813C4⋊C8—41no—
814#103—22no—
815#103—22no—
816#103—22no—
817#103—22no—
818#103—22no—
819#103—41no—
820#103—41no—
821#103—41no—
822#103—41no—
823#103C2×D414yes—
824#102—22no—
825#102—22no—
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#102—41no—
841#102—41no—
842#102—41no—
843#102C2×D414yes—
844C22⋊C8—22no—
845C22⋊C8—22no—
846C22⋊C8—22no—
847C22⋊C8—22no—
848C22⋊C8—22no—
849C22⋊C8—22no—
850C22⋊C8—41no—
851C22⋊C8—41no—
852#97—22no—
853#97—22no—
854C4×C8—22no—
855C4×C8—22no—
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—22no—
890C24—21no—
891C24—21no—
892C24—21no—
893C24—41no—
894C24—41no—
895C24—41no—
896C24—41no—
897C24—41no—
898C24—41no—
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—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—42no—
922C2×Q8—81no—
923C2×Q8—81no—
924C2×Q8C22×D412yes—
925C2×D4—24no—
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—42no—
950C2×D4—42no—
951C2×D4—42no—
952C2×D4—42no—
953C2×D4—42no—
954C2×D4—42no—
955C2×D4—42no—
956C2×D4—42no—
957C2×D4—42no—
958C2×D4—42no—
959C2×D4—42no—
960C2×D4—42no—
961C2×D4—42no—
962C2×D4—42no—
963C2×D4—42no—
964C2×D4—42no—
965C2×D4—42no—
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×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×D4—81no—
990C2×D4—81no—
991C2×D4—81no—
992C2×D4—81no—
993C2×D4—81no—
994C2×D4—81no—
995C2×D4—81no—
996C2×D4C22×D412yes—
997C22×C4—21no—
998C22×C4—21no—
999C22×C4—21no—
1000C22×C4—21no—
1001C22×C4—21no—
1002C22×C4—21no—
1003C22×C4—21no—
1004C22×C4—22no—
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—22no—
1018C22×C4—22no—
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—41no—
1029C22×C4—41no—
1030C22×C4—41no—
1031C22×C4—41no—
1032C22×C4—41no—
1033C22×C4—41no—
1034C22×C4—42no—
1035C22×C4—42no—
1036C22×C4—42no—
1037C22×C4—42no—
1038C22×C4—42no—
1039C22×C4—42no—
1040C22×C4—42no—
1041C22×C4—82no—
1042C22×C4—82no—
1043C22×C4—82no—
1044C22×C4—82no—
1045C22×C4—81no—
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×C4C22×D411yescharacteristic
1057C22×C4C22×D411yescharacteristic
1058C22×C4C22×D411yescharacteristic
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×D412yes—
1068C22×C4H(5,𝔽2)12yes—
1069C22×C4C2511yescharacteristic
1070Q16—82no—
1071SD16—44no—
1072SD16—44no—
1073SD16—82no—
1074SD16—82no—
1075D8—44no—
1076D8—44no—
1077D8—82no—
1078D8—82no—
1079M16—44no—
1080M16—82no—
1081C2×C8—21no—
1082C2×C8—21no—
1083C2×C8—21no—
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—44no—
1103C2×C8—82no—
1104C2×C8C22×D412yes—
1105C2×C8C22×D412yes—
1106C2×C8H(5,𝔽2)12yes—
1107C4⋊C4—24no—
1108C4⋊C4—22no—
1109C4⋊C4—22no—
1110C4⋊C4—21no—
1111C4⋊C4—21no—
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—41no—
1129C4⋊C4—41no—
1130C4⋊C4—42no—
1131C4⋊C4—42no—
1132C4⋊C4—42no—
1133C4⋊C4—42no—
1134C4⋊C4—42no—
1135C4⋊C4—42no—
1136C4⋊C4—42no—
1137C4⋊C4—81no—
1138C4⋊C4—81no—
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—24no—
1149C22⋊C4—22no—
1150C22⋊C4—22no—
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—41no—
1161C22⋊C4—41no—
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—42no—
1179C22⋊C4—42no—
1180C22⋊C4—42no—
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—42no—
1211C42—42no—
1212C42—42no—
1213C42—81no—
1214C42—81no—
1215C42—81no—
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—21no—
1234C23—21no—
1235C23—21no—
1236C23—21no—
1237C23—44no—
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—41no—
1265C23—82no—
1266C23—82no—
1267C23—82no—
1268C23—82no—
1269C23—82no—
1270C23—82no—
1271C23D4212yes—
1272C23C23×D411yescharacteristic
1273Q8—22no—
1274Q8—22no—
1275Q8—41no—
1276Q8—41no—
1277Q8—41no—
1278Q8—41no—
1279Q8—41no—
1280Q8—41no—
1281Q8—162no—
1282D4—22no—
1283D4—22no—
1284D4—41no—
1285D4—41no—
1286D4—41no—
1287D4—41no—
1288D4—41no—
1289D4—41no—
1290D4—41no—
1291D4—41no—
1292D4—41no—
1293D4—41no—
1294D4—41no—
1295D4—41no—
1296D4—41no—
1297D4—41no—
1298D4—84no—
1299D4—84no—
1300D4—84no—
1301D4—84no—
1302D4—84no—
1303D4—84no—
1304D4—162no—
1305D4—162no—
1306D4—162no—
1307D4—162no—
1308D4—162no—
1309D4—162no—
1310D4—162no—
1311D4—162no—
1312D4—162no—
1313D4—162no—
1314C2×C4—21no—
1315C2×C4—21no—
1316C2×C4—22no—
1317C2×C4—22no—
1318C2×C4—22no—
1319C2×C4—22no—
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—21no—
1341C2×C4—21no—
1342C2×C4—21no—
1343C2×C4—21no—
1344C2×C4—22no—
1345C2×C4—22no—
1346C2×C4—22no—
1347C2×C4—21no—
1348C2×C4—21no—
1349C2×C4—21no—
1350C2×C4—21no—
1351C2×C4—21no—
1352C2×C4—21no—
1353C2×C4—41no—
1354C2×C4—41no—
1355C2×C4—41no—
1356C2×C4—41no—
1357C2×C4—41no—
1358C2×C4—41no—
1359C2×C4—41no—
1360C2×C4—41no—
1361C2×C4—41no—
1362C2×C4—41no—
1363C2×C4—41no—
1364C2×C4—41no—
1365C2×C4—41no—
1366C2×C4—41no—
1367C2×C4—41no—
1368C2×C4—41no—
1369C2×C4—41no—
1370C2×C4—41no—
1371C2×C4—41no—
1372C2×C4—41no—
1373C2×C4—41no—
1374C2×C4—41no—
1375C2×C4—41no—
1376C2×C4—41no—
1377C2×C4—41no—
1378C2×C4—41no—
1379C2×C4—41no—
1380C2×C4—41no—
1381C2×C4—41no—
1382C2×C4—41no—
1383C2×C4—41no—
1384C2×C4—41no—
1385C2×C4—41no—
1386C2×C4—41no—
1387C2×C4—41no—
1388C2×C4—41no—
1389C2×C4—41no—
1390C2×C4—41no—
1391C2×C4—41no—
1392C2×C4—41no—
1393C2×C4—41no—
1394C2×C4—82no—
1395C2×C4—82no—
1396C2×C4—82no—
1397C2×C4—84no—
1398C2×C4—84no—
1399C2×C4—162no—
1400C2×C4—162no—
1401C2×C4—162no—
1402C2×C4—162no—
1403C2×C4D4212yes—
1404C2×C4C23×D411yescharacteristic
1405C2×C4C2×H(5,𝔽2)11yescharacteristic
1406C2×C4C2×H(5,𝔽2)11yescharacteristic
1407C2×C4#58511yescharacteristic
1408C2×C4#58511yescharacteristic
1409C2×C4#58511yescharacteristic
1410C8—22no—
1411C8—22no—
1412C8—22no—
1413C8—41no—
1414C8—41no—
1415C8—41no—
1416C8—41no—
1417C8—41no—
1418C22—22no—
1419C22—22no—
1420C22—22no—
1421C22—41no—
1422C22—41no—
1423C22—41no—
1424C22—41no—
1425C22—41no—
1426C22—41no—
1427C22—42no—
1428C22—41no—
1429C22—41no—
1430C22—41no—
1431C22—41no—
1432C22—41no—
1433C22—41no—
1434C22—41no—
1435C22—41no—
1436C22—42no—
1437C22—41no—
1438C22—41no—
1439C22—42no—
1440C22—41no—
1441C22—41no—
1442C22—88no—
1443C22—81no—
1444C22—81no—
1445C22—81no—
1446C22—81no—
1447C22—81no—
1448C22—81no—
1449C22—81no—
1450C22—81no—
1451C22—81no—
1452C22—81no—
1453C22—81no—
1454C22—81no—
1455C22—81no—
1456C22—81no—
1457C22—81no—
1458C22—81no—
1459C22—81no—
1460C22—81no—
1461C22—81no—
1462C22—81no—
1463C22—81no—
1464C22—81no—
1465C22—81no—
1466C22—81no—
1467C22—81no—
1468C22#344911yescharacteristic
1469C22C2×D4211yescharacteristic
1470C22#349611yescharacteristic
1471C22#358411yescharacteristic
1472C22#358411yescharacteristic
1473C22#358511yescharacteristic
1474C22#358511yescharacteristic
1475C4—22no—
1476C4—41no—
1477C4—41no—
1478C4—42no—
1479C4—41no—
1480C4—41no—
1481C4—41no—
1482C4—41no—
1483C4—41no—
1484C4—41no—
1485C4—42no—
1486C4—41no—
1487C4—41no—
1488C4—42no—
1489C4—81no—
1490C4—81no—
1491C4—81no—
1492C4—81no—
1493C4—81no—
1494C4—81no—
1495C4—81no—
1496C4—81no—
1497C4—81no—
1498C4#348511yescharacteristic
1499C4#348811yescharacteristic
1500C4#355811yescharacteristic
1501C4#356011yescharacteristic
1502C2—42no—
1503C2—81no—
1504C2—81no—
1505C2—82no—
1506C2—161no—
1507C2—161no—
1508C2—161no—
1509C2#3767811yescharacteristic
1510C2#6098511yescharacteristic
1511C2#6098611yescharacteristic
1512C2#6105211yescharacteristic
1513C2#6106311yescharacteristic
1514C2#6231311yescharacteristic
1515C2#6231811yescharacteristic
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×#3191C2semidirect
2. C2×#3179C2semidirect
3. #37670C2semidirect
4. #37669C2semidirect
5. #33137C2semidirect
6. #30798C2semidirect
7. #30796C2semidirect
8. #30644C2semidirect
9. #30630C2semidirect
10. #30529C2semidirect
11. #30524C2semidirect
12. #30475C2semidirect
13. #30462C2semidirect
14. #30251C2semidirect
15. #29732C2semidirect
16. #26635C2semidirect
17. #26634C2semidirect
18. #26556C2semidirect
19. #26549C2semidirect
20. #25514C2semidirect
21. #25508C2semidirect
22. #25162C2semidirect
23. #25155C2semidirect
24. #24923C2semidirect
25. #24916C2semidirect
26. #24765C2semidirect
27. #24762C2semidirect
28. #24388C2semidirect
29. #24388C2semidirect
30. #22195C2semidirect
31. #21050C2semidirect
38. C2×#501C22semidirect
39. C2×#496C22semidirect
40. C2×#488C22semidirect
41. C2×#486C22semidirect
55. C2×#464C22semidirect
56. C2×#459C22semidirect
63. C2×#442C22semidirect
64. C2×#440C22semidirect
65. C2×C4×SD16C22semidirect
66. C2×C4×D8C22semidirect
112. #2097C22semidirect
113. #2094C22semidirect
114. #2093C22semidirect
115. #2092C22semidirect
118. #2068C22semidirect
119. #2067C22semidirect
120. #2067C22semidirect
121. #2065C22semidirect
122. #2059C22semidirect
123. #2057C22semidirect
124. #2056C22semidirect
125. #2055C22semidirect
126. #2054C22semidirect
127. #2054C22semidirect
128. #2042C22semidirect
129. #2041C22semidirect
138. #2025C22semidirect
139. #2024C22semidirect
140. #2015C22semidirect
141. #2014C22semidirect
142. #2012C22semidirect
143. #2012C22semidirect
144. #2011C22semidirect
145. #2011C22semidirect
152. #1983C22semidirect
153. #1982C22semidirect
154. #1968C22semidirect
155. #1968C22semidirect
156. #1949C22semidirect
157. #1947C22semidirect
158. #1941C22semidirect
159. #1941C22semidirect
160. #1936C22semidirect
161. #1936C22semidirect
162. #1935C22semidirect
163. #1935C22semidirect
164. #1927C22semidirect
165. #1926C22semidirect
174. #1920C22semidirect
175. #1919C22semidirect
182. #1880C22semidirect
183. #1879C22semidirect
184. #1879C22semidirect
185. #1878C22semidirect
186. #1877C22semidirect
187. #1877C22semidirect
190. #1865C22semidirect
191. #1864C22semidirect
192. #1864C22semidirect
193. #1863C22semidirect
194. #1862C22semidirect
195. #1862C22semidirect
199. #1804C22semidirect
200. #1803C22semidirect
297. #465D4semidirect

Maximal subgroups

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

subgroupindex
C2×#31912
C2×#31792
#376702
#376692
#331372
#307982
#307962
#306442
#306302
#305292
#305242
#304752
#304622
#302512
#297322
#266352
#266342
#265562
#265492
#255142
#255082
#251622
#251552
#249232
#249162
#247652
#247622
#243882
#221952
#210502