Finite Group Databasebeta

← #6577611

Subgroups — #6577611

Order 512.

2092 conjugacy classes of subgroups.

The subgroup lattice has 1450 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3126C211yesmaximal, characteristic, complemented
2C2×#3091C211yesmaximal, characteristic, complemented
3#37670C211yesmaximal, characteristic
4#34203C211yesmaximal, characteristic, complemented
5#33115C211yesmaximal, characteristic, complemented
6#33019C211yesmaximal, characteristic, complemented
7#32981C211yesmaximal, characteristic, complemented
8#28324C211yesmaximal, characteristic, complemented
9#28128C211yesmaximal, characteristic, complemented
10#26947C211yesmaximal, characteristic, complemented
11#26930C211yesmaximal, characteristic, complemented
12#26804C211yesmaximal, characteristic, complemented
13#26789C211yesmaximal, characteristic, complemented
14#26645C211yesmaximal, characteristic, complemented
15#26628C211yesmaximal, characteristic, complemented
16#26566C211yesmaximal, characteristic, complemented
17#26551C211yesmaximal, characteristic, complemented
18#26351C211yesmaximal, characteristic, complemented
19#26349C211yesmaximal, characteristic, complemented
20#25077C211yesmaximal, characteristic, complemented
21#25077C211yesmaximal, characteristic, complemented
22#24619C211yesmaximal, characteristic, complemented
23#24381C211yesmaximal, characteristic, complemented
24#24070C211yesmaximal, characteristic, complemented
25#23922C211yesmaximal, characteristic, complemented
26#23033C211yesmaximal, characteristic, complemented
27#23023C211yesmaximal, characteristic, complemented
28#22876C211yesmaximal, characteristic, complemented
29#22856C211yesmaximal, characteristic, complemented
30#22558C211yesmaximal, characteristic, complemented
31#21588C211yesmaximal, characteristic, complemented
32C2×#540C2211yescharacteristic
33C2×#525C2211yescharacteristic
34C22×C22⋊Q8C2211yescharacteristic
35C2×#519C2211yescharacteristic
36C22×#117C2211yescharacteristic
37#3126—28no—
38#3091—28no—
39C2×#484C2211yescharacteristic
40C2×#481C2211yescharacteristic
41C2×#485C2211yescharacteristic
42C2×#485C2211yescharacteristic
43C2×#482C2211yescharacteristic
44C2×#482C2211yescharacteristic
45C2×#482C2211yescharacteristic
46C2×#482C2211yescharacteristic
47C2×#483C2211yescharacteristic
48C2×#480C2211yescharacteristic
49C2×#479C2211yescharacteristic, complemented
50C2×#479C2211yescharacteristic, complemented
51C2×#465C2211yescharacteristic
52C2×#465C2211yescharacteristic
53C2×#460C2211yescharacteristic, complemented
54C2×#460C2211yescharacteristic, complemented
55C2×#452C2211yescharacteristic
56C2×#452C2211yescharacteristic
57C2×#451C2211yescharacteristic
58C2×#448C2211yescharacteristic
59C2×#448C2211yescharacteristic
60C2×#440C2211yescharacteristic, complemented
61C2×#440C2211yescharacteristic, complemented
62C2×C4×SD16C2211yescharacteristic, complemented
63C2×C4×SD16C2211yescharacteristic, complemented
64C2×#433C2211yescharacteristic
65C2×#427C2211yescharacteristic
66C2×#427C2211yescharacteristic
67C2×#416C2211yescharacteristic
68C2×#416C2211yescharacteristic
69C22×C22⋊C8C2211yescharacteristic
70#2847C2211yescharacteristic
71#2706—21no—
72#2693—21no—
73#2678—21no—
74#2668—21no—
75#2625C2211yescharacteristic
76#2620C2211yescharacteristic
77#2489C2211yescharacteristic
78#2457—21no—
79#2444—21no—
80#2441C2211yescharacteristic
81#2431C2211yescharacteristic
82#2428C2211yescharacteristic
83#2427C2211yescharacteristic
84#2425—21no—
85#2422C2211yescharacteristic
86#2420—21no—
87#2363C2211yescharacteristic
88#2362C2211yescharacteristic
89#2362C2211yescharacteristic
90#2362C2211yescharacteristic
91#2362C2211yescharacteristic
92#2360C2211yescharacteristic
93#2360C2211yescharacteristic
94#2360C2211yescharacteristic
95#2360C2211yescharacteristic
96#2344—21no—
97#2344—21no—
98#2342—21no—
99#2342—21no—
100#2339C2211yescharacteristic
101#2324C2211yescharacteristic
102#2323—21no—
103#2323—21no—
104#2316C2211yescharacteristic
105#2310C2211yescharacteristic
106C4×C22⋊Q8—21no—
107C4×C22⋊Q8—21no—
108#2280C2211yescharacteristic
109#2274C2211yescharacteristic
110#2096C2211yescharacteristic, complemented
111#2095C2211yescharacteristic, complemented
112#2088C2211yescharacteristic, complemented
113#2087C2211yescharacteristic, complemented
114#2068C2211yescharacteristic, complemented
115#2066C2211yescharacteristic, complemented
116#2066C2211yescharacteristic, complemented
117#2066C2211yescharacteristic, complemented
118#2059C2211yescharacteristic, complemented
119#2059C2211yescharacteristic, complemented
120#2055C2211yescharacteristic, complemented
121#2055C2211yescharacteristic, complemented
122#2041C2211yescharacteristic, complemented
123#2041C2211yescharacteristic, complemented
124#2035C2211yescharacteristic
125#2035C2211yescharacteristic
126#2015C2211yescharacteristic, complemented
127#2015C2211yescharacteristic, complemented
128#2001C2211yescharacteristic
129#2001C2211yescharacteristic
130#2000C2211yescharacteristic
131#2000C2211yescharacteristic
132#2000C2211yescharacteristic
133#2000C2211yescharacteristic
134#1983C2211yescharacteristic, complemented
135#1983C2211yescharacteristic, complemented
136#1973C2211yescharacteristic, complemented
137#1971C2211yescharacteristic, complemented
138#1969C2211yescharacteristic, complemented
139#1968C2211yescharacteristic, complemented
140#1948C2211yescharacteristic, complemented
141#1947C2211yescharacteristic, complemented
142#1944C2211yescharacteristic, complemented
143#1941C2211yescharacteristic, complemented
144#1935C2211yescharacteristic, complemented
145#1933C2211yescharacteristic, complemented
146#1928C2211yescharacteristic, complemented
147#1928C2211yescharacteristic, complemented
148#1927C2211yescharacteristic, complemented
149#1927C2211yescharacteristic, complemented
150#1926C2211yescharacteristic, complemented
151#1926C2211yescharacteristic, complemented
152#1926C2211yescharacteristic, complemented
153#1925C2211yescharacteristic, complemented
154#1924C2211yescharacteristic
155#1924C2211yescharacteristic
156#1923C2211yescharacteristic
157#1923C2211yescharacteristic
158#1920C2211yescharacteristic, complemented
159#1918C2211yescharacteristic, complemented
160#1892C2211yescharacteristic
161#1892C2211yescharacteristic
162#1878C2211yescharacteristic, complemented
163#1878C2211yescharacteristic, complemented
164#1878C2211yescharacteristic, complemented
165#1878C2211yescharacteristic, complemented
166#1877C2211yescharacteristic, complemented
167#1877C2211yescharacteristic, complemented
168#1875C2211yescharacteristic
169#1875C2211yescharacteristic
170#1874C2211yescharacteristic
171#1874C2211yescharacteristic
172#1874C2211yescharacteristic
173#1874C2211yescharacteristic
174#1873C2211yescharacteristic
175#1873C2211yescharacteristic
176#1872C2211yescharacteristic
177#1865C2211yescharacteristic, complemented
178#1865C2211yescharacteristic, complemented
179#1864C2211yescharacteristic, complemented
180#1864C2211yescharacteristic, complemented
181#1863C2211yescharacteristic, complemented
182#1863C2211yescharacteristic, complemented
183#1862C2211yescharacteristic, complemented
184#1862C2211yescharacteristic, complemented
185#1854C2211yescharacteristic
186#1854C2211yescharacteristic
187#1853C2211yescharacteristic
188#1853C2211yescharacteristic
189#1852C2211yescharacteristic
190#1850C2211yescharacteristic
191#1850C2211yescharacteristic
192#1825C2211yescharacteristic
193#1825C2211yescharacteristic
194#1818C2211yescharacteristic
195#1798C2211yescharacteristic
196#1787C2211yescharacteristic
197#1779C2211yescharacteristic
198#1776C2211yescharacteristic, complemented
199C4×#106C2211yescharacteristic, complemented
200#1762C2211yescharacteristic, complemented
201C4×#102C2211yescharacteristic, complemented
202#1752C2211yescharacteristic
203C8×C22⋊C4C2211yescharacteristic
204#1750C2211yescharacteristic
205C22×#41C2311yescharacteristic
206C23×Q8C2311yescharacteristic
207C24×C4C2311yescharacteristic
208C22×Q16C2311yescharacteristic
209C22×Q16C2311yescharacteristic
210C22×SD16C2311yescharacteristic
211C22×SD16C2311yescharacteristic
212C22×SD16C2311yescharacteristic
213C22×SD16C2311yescharacteristic
214C23×C8C2311yescharacteristic
215C23×C8C2311yescharacteristic
216#540—24no—
217#540—42no—
218C2×#127C2311yescharacteristic
219C2×#125C2311yescharacteristic
220C2×#124C2311yescharacteristic
221#525—24no—
222#525—42no—
223C2×#123—21no—
224C2×#123—21no—
225C2×#123—21no—
226C2×#123—21no—
227C2×C22⋊Q8—21no—
228C2×C22⋊Q8—21no—
229C2×C22⋊Q8—24no—
230C2×C22⋊Q8—24no—
231C2×C22⋊Q8C2311yescharacteristic
232C2×C22⋊Q8C2311yescharacteristic
233C2×C22⋊Q8C2311yescharacteristic
234C2×C22⋊Q8C2311yescharacteristic
235C2×C22⋊Q8C2311yescharacteristic
236C2×C22⋊Q8C2311yescharacteristic
237C2×#121—21no—
238C2×#121—21no—
239C2×#121—21no—
240C2×#121C2311yescharacteristic
241C2×#121C2311yescharacteristic
242C2×#121C2311yescharacteristic
243C2×#121C2311yescharacteristic
244C2×#121C2311yescharacteristic
245C2×#120—21no—
246C2×#120—21no—
247#519—24no—
248#519—42no—
249C2×C4×Q8—21no—
250C2×C4×Q8—21no—
251C2×C4×Q8C2311yescharacteristic
252C2×C4×Q8C2311yescharacteristic
253C2×C4×Q8C2311yescharacteristic
254C2×C4×Q8C2311yescharacteristic
255C2×C4×D4—21no—
256C2×C4×D4—21no—
257C2×C4×D4C2311yescharacteristic
258C2×C4×D4C2311yescharacteristic
259C2×C4×D4C2311yescharacteristic
260C2×#117—21no—
261C2×#117—21no—
262C2×#117—21no—
263C2×#117—21no—
264C2×#117—24no—
265C2×#117—42no—
266C2×#117C2311yescharacteristic
267C2×#117C2311yescharacteristic
268C2×#117C2311yescharacteristic
269C2×#117C2311yescharacteristic
270C2×#117C2311yescharacteristic
271C2×#117C2311yescharacteristic
272C2×#117C2311yescharacteristic
273C22×C4⋊C4—21no—
274C22×C4⋊C4C2311yescharacteristic
275C22×C4⋊C4C2311yescharacteristic
276C22×C4⋊C4C2311yescharacteristic
277C22×C22⋊C4—21no—
278C22×C22⋊C4—21no—
279C22×C42—21no—
280#485—24no—
281#485—24no—
282#484—24no—
283#483—24no—
284#482—24no—
285#482—24no—
286#482—42no—
287#482D418yescomplemented
288#481—24no—
289#480—24no—
290#479—24no—
291#479—24no—
292#465—24no—
293#465—24no—
294#460—24no—
295#460—24no—
296#452—24no—
297#452—24no—
298#451—42no—
299#448—24no—
300#448—24no—
301#440—24no—
302#440—24no—
303C4×SD16—24no—
304C4×SD16—24no—
305#433—24no—
306#427—24no—
307#427—24no—
308C2×#107C2311yescharacteristic
309C2×#107C2311yescharacteristic
310C2×#107C2311yescharacteristic
311C2×#107C2311yescharacteristic
312C2×#107C2311yescharacteristic
313C2×#107C2311yescharacteristic
314C2×#106C2311yescharacteristic
315C2×#106C2311yescharacteristic
316C2×#106C2311yescharacteristic
317C2×#106C2311yescharacteristic
318C2×#106C2311yescharacteristic
319C2×#106C2311yescharacteristic
320C2×#106C2311yescharacteristic
321C2×#106C2311yescharacteristic
322C2×C4⋊C8C2311yescharacteristic
323C2×C4⋊C8C2311yescharacteristic
324C2×C4⋊C8C2311yescharacteristic
325C2×C4⋊C8C2311yescharacteristic
326#416—24no—
327#416—24no—
328C2×#103C2311yescharacteristic
329C2×#103C2311yescharacteristic
330C2×#103C2311yescharacteristic
331C2×#103C2311yescharacteristic
332C2×#103C2311yescharacteristic
333C2×#103C2311yescharacteristic
334C2×#103C2311yescharacteristic
335C2×#103C2311yescharacteristic
336C2×#103C2311yescharacteristic
337C2×#103C2311yescharacteristic
338C2×#103C2311yescharacteristic
339C2×#103C2311yescharacteristic
340C2×#103C2311yescharacteristic
341C2×#103C2311yescharacteristic
342C2×#103C2311yescharacteristic
343C2×#103C2311yescharacteristic
344C2×#102C2311yescharacteristic
345C2×#102C2311yescharacteristic
346C2×#102C2311yescharacteristic
347C2×#102C2311yescharacteristic
348C2×#102C2311yescharacteristic
349C2×#102C2311yescharacteristic
350C2×#102C2311yescharacteristic
351C2×#102C2311yescharacteristic
352C2×#102C2311yescharacteristic
353C2×#102C2311yescharacteristic
354C2×#102C2311yescharacteristic
355C2×#102C2311yescharacteristic
356C2×C22⋊C8—24no—
357C2×C22⋊C8C2311yescharacteristic
358C2×C22⋊C8C2311yescharacteristic
359C2×C22⋊C8C2311yescharacteristic
360C2×C22⋊C8C2311yescharacteristic
361C2×C22⋊C8C2311yescharacteristic
362C2×C22⋊C8C2311yescharacteristic
363C2×C22⋊C8C2311yescharacteristic
364C2×C22⋊C8C2311yescharacteristic
365C2×C22⋊C8C2311yescharacteristic
366C2×C22⋊C8C2311yescharacteristic
367C2×#97C2311yescharacteristic
368C2×#97C2311yescharacteristic
369C2×C4×C8C2311yescharacteristic
370C2×C4×C8C2311yescharacteristic
371#400—21no—
372#400—21no—
373#399—21no—
374#398—21no—
375#397—21no—
376#397—21no—
377#397—21no—
378#397—21no—
379#397—21no—
380#396—21no—
381#396—21no—
382#396—21no—
383#394—21no—
384#394—21no—
385#394—21no—
386#394—21no—
387#394—21no—
388#392—21no—
389#392—21no—
390#392—21no—
391#391—21no—
392#391—21no—
393#391C2311yescharacteristic
394#391C2311yescharacteristic
395#391C2311yescharacteristic
396#391C2311yescharacteristic
397#391C2311yescharacteristic
398#391C2311yescharacteristic
399#391C2311yescharacteristic
400#390—21no—
401#390—21no—
402#390C2311yescharacteristic
403#390C2311yescharacteristic
404#389—21no—
405#389—21no—
406#389—21no—
407#389—21no—
408#389—21no—
409#389—21no—
410#389—21no—
411#389C2311yescharacteristic
412#389C2311yescharacteristic
413#389C2311yescharacteristic
414#389C2311yescharacteristic
415#389C2311yescharacteristic
416#389C2311yescharacteristic
417#389C2311yescharacteristic
418#388—21no—
419#388—21no—
420#388—21no—
421#388—21no—
422#388—21no—
423#388—21no—
424#388—21no—
425#388—21no—
426#388—21no—
427#388—21no—
428#388—21no—
429#387—21no—
430#387—21no—
431#387—21no—
432#387—21no—
433#387—21no—
434#387—21no—
435#387—21no—
436#387—21no—
437#387—21no—
438#386—21no—
439#386—21no—
440#386—21no—
441#386—21no—
442#386—21no—
443#386—21no—
444#386—21no—
445#386—21no—
446#386—21no—
447#386—21no—
448#386—21no—
449#385—21no—
450#385—21no—
451#385—21no—
452#385—21no—
453#385—21no—
454#385—21no—
455#384C2311yescharacteristic
456#382—21no—
457#381—21no—
458#381—21no—
459#381—21no—
460#381D411yescharacteristic
461#381D411yescharacteristic
462#380—21no—
463#380—21no—
464#380—21no—
465#380D411yescharacteristic
466#380D411yescharacteristic
467#380D411yescharacteristic
468#380D411yescharacteristic
469#380C2311yescharacteristic
470#380C2311yescharacteristic
471#380C2311yescharacteristic
472#379D411yescharacteristic
473#379D411yescharacteristic
474C4×C4⋊C4—21no—
475C4×C4⋊C4—21no—
476C4×C4⋊C4—21no—
477C4×C4⋊C4—21no—
478C4×C4⋊C4—21no—
479C4×C4⋊C4—21no—
480C4×C4⋊C4C2311yescharacteristic
481C4×C4⋊C4C2311yescharacteristic
482C4×C4⋊C4C2311yescharacteristic
483C4×C4⋊C4C2311yescharacteristic
484C4×C4⋊C4C2311yescharacteristic
485C4×C22⋊C4—21no—
486C4×C22⋊C4—21no—
487C4×C22⋊C4—21no—
488C4×C22⋊C4—21no—
489C4×C22⋊C4—21no—
490C4×C22⋊C4—21no—
491C4×C22⋊C4—21no—
492C4×C22⋊C4C2311yescharacteristic
493C4×C22⋊C4C2311yescharacteristic
494C4×C22⋊C4C2311yescharacteristic
495C4×C22⋊C4C2311yescharacteristic
496C2×#95—21no—
497#340C2311yescharacteristic
498#340C2311yescharacteristic
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—22no—
525C2×#41—41no—
526C2×#41—41no—
527C2×#41—41no—
528C22×Q8—22no—
529C22×Q8—22no—
530C22×Q8—21no—
531C22×Q8—22no—
532C22×Q8—22no—
533C22×Q8—41no—
534C22×Q8—41no—
535C22×Q8C2411yescharacteristic
536C22×Q8C2411yescharacteristic
537C22×Q8C2411yescharacteristic
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×D4C2411yescharacteristic
547C22×D4C2411yescharacteristic
548C23×C4—21no—
549C23×C4—21no—
550C23×C4—22no—
551C23×C4—22no—
552C23×C4—22no—
553C23×C4—22no—
554C23×C4—21no—
555C23×C4—21no—
556C23×C4—21no—
557C23×C4—21no—
558C23×C4—21no—
559C23×C4—21no—
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—22no—
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—22no—
581C2×SD16—22no—
582C2×SD16—41no—
583C2×SD16—41no—
584C2×SD16—41no—
585C2×SD16—41no—
586C22×C8—22no—
587C22×C8—22no—
588C22×C8—22no—
589C22×C8—22no—
590C22×C8—41no—
591C22×C8—41no—
592C22×C8C2411yescharacteristic
593C22×C8C2411yescharacteristic
594C22×C8C2411yescharacteristic
595C22×C8C2411yescharacteristic
596C22×C8C2411yescharacteristic
597C22×C8C2411yescharacteristic
598C22×C8C2411yescharacteristic
599C22×C8C2411yescharacteristic
600#127—22no—
601#127—41no—
602#125—22no—
603#125—41no—
604#124—41no—
605#124—41no—
606#123—44no—
607#123—44no—
608#123—44no—
609#123—82no—
610C22⋊Q8—28no—
611C22⋊Q8—28no—
612C22⋊Q8—22no—
613C22⋊Q8—22no—
614C22⋊Q8—22no—
615C22⋊Q8—22no—
616C22⋊Q8—22no—
617C22⋊Q8—22no—
618C22⋊Q8—22no—
619C22⋊Q8—22no—
620C22⋊Q8—22no—
621C22⋊Q8—41no—
622C22⋊Q8#4114yes—
623C22⋊Q8#4114yes—
624#121—22no—
625#121—22no—
626#121—22no—
627#121—22no—
628#121—22no—
629#121—22no—
630#121—44no—
631#121—44no—
632#121—41no—
633#121—41no—
634#121—41no—
635#121—82no—
636#121C2×D414yes—
637#120—44no—
638#120—82no—
639C4×Q8—22no—
640C4×Q8—22no—
641C4×Q8—22no—
642C4×Q8—22no—
643C4×Q8—41no—
644C4×Q8—41no—
645C4×Q8—41no—
646C4×Q8—41no—
647C4×Q8—44no—
648C4×Q8—44no—
649C4×D4—22no—
650C4×D4—22no—
651C4×D4—41no—
652C4×D4—41no—
653C4×D4—41no—
654C4×D4—41no—
655C4×D4—44no—
656C4×D4—44no—
657#117—22no—
658#117—22no—
659#117—22no—
660#117—22no—
661#117—22no—
662#117—22no—
663#117—22no—
664#117—22no—
665#117—41no—
666#117—41no—
667#117—44no—
668#117—44no—
669#117—44no—
670#117—44no—
671#117—41no—
672#117—41no—
673#117—41no—
674#117C2×D414yes—
675C2×C4⋊C4—28no—
676C2×C4⋊C4—21no—
677C2×C4⋊C4—21no—
678C2×C4⋊C4—21no—
679C2×C4⋊C4—21no—
680C2×C4⋊C4—21no—
681C2×C4⋊C4—22no—
682C2×C4⋊C4—22no—
683C2×C4⋊C4—22no—
684C2×C4⋊C4—22no—
685C2×C4⋊C4—21no—
686C2×C4⋊C4—21no—
687C2×C4⋊C4—21no—
688C2×C4⋊C4—21no—
689C2×C4⋊C4—21no—
690C2×C4⋊C4—21no—
691C2×C4⋊C4—21no—
692C2×C4⋊C4—21no—
693C2×C4⋊C4—21no—
694C2×C4⋊C4—21no—
695C2×C4⋊C4—21no—
696C2×C4⋊C4—21no—
697C2×C4⋊C4—21no—
698C2×C4⋊C4—21no—
699C2×C4⋊C4—21no—
700C2×C4⋊C4—21no—
701C2×C4⋊C4—21no—
702C2×C4⋊C4—21no—
703C2×C4⋊C4—21no—
704C2×C4⋊C4—41no—
705C2×C4⋊C4—41no—
706C2×C4⋊C4C2×D411yescharacteristic
707C2×C4⋊C4C2×D411yescharacteristic
708C2×C4⋊C4C2×D411yescharacteristic
709C2×C4⋊C4C2×D411yescharacteristic
710C2×C4⋊C4C2411yescharacteristic
711C2×C4⋊C4C2411yescharacteristic
712C2×C4⋊C4C2411yescharacteristic
713C2×C4⋊C4C2411yescharacteristic
714C2×C4⋊C4C2411yescharacteristic
715C2×C4⋊C4C2411yescharacteristic
716C2×C4⋊C4C2411yescharacteristic
717C2×C4⋊C4C2411yescharacteristic
718C2×C4⋊C4C2411yescharacteristic
719C2×C4⋊C4C2411yescharacteristic
720C2×C4⋊C4C2411yescharacteristic
721C2×C22⋊C4—28no—
722C2×C22⋊C4—21no—
723C2×C22⋊C4—21no—
724C2×C22⋊C4—21no—
725C2×C22⋊C4—21no—
726C2×C22⋊C4—21no—
727C2×C22⋊C4—21no—
728C2×C22⋊C4—21no—
729C2×C22⋊C4—21no—
730C2×C22⋊C4—21no—
731C2×C22⋊C4—21no—
732C2×C22⋊C4—21no—
733C2×C22⋊C4—21no—
734C2×C22⋊C4—21no—
735C2×C22⋊C4—21no—
736C2×C22⋊C4—21no—
737C2×C22⋊C4—21no—
738C2×C22⋊C4—21no—
739C2×C22⋊C4—21no—
740C2×C22⋊C4—21no—
741C2×C22⋊C4—21no—
742C2×C22⋊C4—21no—
743C2×C22⋊C4—21no—
744C2×C22⋊C4—21no—
745C2×C22⋊C4—21no—
746C2×C22⋊C4—21no—
747C2×C22⋊C4—21no—
748C2×C22⋊C4—21no—
749C2×C22⋊C4—21no—
750C2×C22⋊C4—44no—
751C2×C22⋊C4C2×D411yescharacteristic
752C2×C22⋊C4C2×D411yescharacteristic
753C2×C22⋊C4C2×D411yescharacteristic
754C2×C22⋊C4C2×D411yescharacteristic
755C2×C22⋊C4C2×D411yescharacteristic
756C2×C22⋊C4C2×D411yescharacteristic
757C2×C22⋊C4C2×D411yescharacteristic
758C2×C22⋊C4C2×D411yescharacteristic
759C2×C22⋊C4C2×D411yescharacteristic
760C2×C22⋊C4C2×D411yescharacteristic
761C2×C22⋊C4C2×D411yescharacteristic
762C2×C22⋊C4C2×D411yescharacteristic
763C2×C42—21no—
764C2×C42—21no—
765C2×C42—21no—
766C2×C42—21no—
767C2×C42—21no—
768C2×C42—21no—
769C2×C42—21no—
770C2×C42—21no—
771C2×C42—21no—
772C2×C42—21no—
773C2×C42—21no—
774C2×C42—21no—
775C2×C42—21no—
776C2×C42—21no—
777C2×C42—44no—
778C2×C42C2411yescharacteristic
779C2×C42C2411yescharacteristic
780C2×C42C2411yescharacteristic
781C2×C42C2411yescharacteristic
782#107—22no—
783#107—22no—
784#107—22no—
785#107—22no—
786#107—41no—
787#107C2×D414yes—
788#106—22no—
789#106—22no—
790#106—22no—
791#106—22no—
792#106—22no—
793#106—22no—
794#106—41no—
795#106C2×D414yes—
796C4⋊C8—22no—
797C4⋊C8—22no—
798C4⋊C8—41no—
799C4⋊C8—41no—
800#103—22no—
801#103—22no—
802#103—22no—
803#103—22no—
804#103—22no—
805#103—22no—
806#103—22no—
807#103—22no—
808#103—22no—
809#103—22no—
810#103—22no—
811#103—22no—
812#103—41no—
813#103—41no—
814#103—41no—
815#103—41no—
816#102—22no—
817#102—22no—
818#102—22no—
819#102—22no—
820#102—22no—
821#102—22no—
822#102—22no—
823#102—22no—
824#102—41no—
825#102—41no—
826#102C2×D414yes—
827#102C2×D414yes—
828C22⋊C8—22no—
829C22⋊C8—22no—
830C22⋊C8—22no—
831C22⋊C8—22no—
832C22⋊C8—22no—
833C22⋊C8—22no—
834C22⋊C8—22no—
835C22⋊C8—41no—
836C22⋊C8—41no—
837C22⋊C8C2×D414yes—
838#97—22no—
839#97—41no—
840C4×C8—22no—
841C4×C8—41no—
842#95—21no—
843#95—21no—
844#95—21no—
845#95—21no—
846#95—21no—
847#95—21no—
848#95—21no—
849#95—21no—
850#95—21no—
851#95—21no—
852#95—21no—
853#95—21no—
854#95—21no—
855#95—21no—
856#95—21no—
857#95—21no—
858#95—21no—
859#95—21no—
860#95—21no—
861#95—21no—
862#95—21no—
863#95—21no—
864#95—21no—
865#95—21no—
866#95—21no—
867#95—21no—
868#95—21no—
869#95—21no—
870#95—21no—
871#95C2×D411yescharacteristic
872#95C2×D411yescharacteristic
873#95C2×D411yescharacteristic
874#95C2×D411yescharacteristic
875#95C2×D411yescharacteristic
876#95C2×D411yescharacteristic
877#95C2×D411yescharacteristic
878#95C2×D411yescharacteristic
879C24—21no—
880C24—22no—
881C24—22no—
882C24—22no—
883C24—21no—
884C24—41no—
885C24—41no—
886C24—41no—
887C24—41no—
888C24C22×D411yescharacteristic
889C24C22×D411yescharacteristic
890C24C22×D411yescharacteristic
891#41—44no—
892#41—44no—
893#41—82no—
894#41—82no—
895C2×Q8—24no—
896C2×Q8—21no—
897C2×Q8—21no—
898C2×Q8—21no—
899C2×Q8—21no—
900C2×Q8—21no—
901C2×Q8—21no—
902C2×Q8—21no—
903C2×Q8—21no—
904C2×Q8—21no—
905C2×Q8—21no—
906C2×Q8—21no—
907C2×Q8—21no—
908C2×Q8—21no—
909C2×Q8—21no—
910C2×Q8—21no—
911C2×Q8—21no—
912C2×Q8—44no—
913C2×Q8—44no—
914C2×Q8—44no—
915C2×Q8—44no—
916C2×Q8—42no—
917C2×Q8—42no—
918C2×Q8C2×#4112yes—
919C2×Q8C2×#4112yes—
920C2×D4—24no—
921C2×D4—21no—
922C2×D4—21no—
923C2×D4—21no—
924C2×D4—21no—
925C2×D4—21no—
926C2×D4—21no—
927C2×D4—21no—
928C2×D4—21no—
929C2×D4—21no—
930C2×D4—21no—
931C2×D4—21no—
932C2×D4—42no—
933C2×D4—42no—
934C2×D4—42no—
935C2×D4—42no—
936C2×D4—42no—
937C2×D4—42no—
938C2×D4—42no—
939C2×D4—42no—
940C2×D4—42no—
941C2×D4—81no—
942C2×D4—81no—
943C2×D4—81no—
944C2×D4—81no—
945C2×D4—81no—
946C2×D4—81no—
947C2×D4—81no—
948C2×D4—81no—
949C2×D4—81no—
950C2×D4—81no—
951C2×D4—81no—
952C2×D4—81no—
953C2×D4—81no—
954C2×D4—81no—
955C2×D4C22×D412yes—
956C22×C4—21no—
957C22×C4—21no—
958C22×C4—21no—
959C22×C4—21no—
960C22×C4—21no—
961C22×C4—21no—
962C22×C4—21no—
963C22×C4—21no—
964C22×C4—24no—
965C22×C4—22no—
966C22×C4—22no—
967C22×C4—21no—
968C22×C4—21no—
969C22×C4—21no—
970C22×C4—21no—
971C22×C4—21no—
972C22×C4—21no—
973C22×C4—21no—
974C22×C4—24no—
975C22×C4—22no—
976C22×C4—22no—
977C22×C4—22no—
978C22×C4—22no—
979C22×C4—21no—
980C22×C4—21no—
981C22×C4—21no—
982C22×C4—21no—
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—41no—
993C22×C4—41no—
994C22×C4—41no—
995C22×C4—44no—
996C22×C4—44no—
997C22×C4—44no—
998C22×C4—44no—
999C22×C4—42no—
1000C22×C4—42no—
1001C22×C4—42no—
1002C22×C4—42no—
1003C22×C4—42no—
1004C22×C4—42no—
1005C22×C4—42no—
1006C22×C4—42no—
1007C22×C4—42no—
1008C22×C4—42no—
1009C22×C4—81no—
1010C22×C4—81no—
1011C22×C4—81no—
1012C22×C4—81no—
1013C22×C4—81no—
1014C22×C4—81no—
1015C22×C4—81no—
1016C22×C4—81no—
1017C22×C4—81no—
1018C22×C4—81no—
1019C22×C4—81no—
1020C22×C4—81no—
1021C22×C4C22×D411yescharacteristic
1022C22×C4C22×D411yescharacteristic
1023C22×C4C22×D411yescharacteristic
1024C22×C4C22×D411yescharacteristic
1025C22×C4C22×D411yescharacteristic
1026C22×C4C22×D411yescharacteristic
1027C22×C4C22×D411yescharacteristic
1028C22×C4C22×D411yescharacteristic
1029C22×C4C22×D411yescharacteristic
1030C22×C4C22×D411yescharacteristic
1031C22×C4C22×D411yescharacteristic
1032C22×C4C22×D412yes—
1033C22×C4C2×#4112yes—
1034C22×C4C2×#4112yes—
1035C22×C4H(5,𝔽2)12yes—
1036C22×C4C2511yescharacteristic
1037Q16—82no—
1038Q16—82no—
1039SD16—44no—
1040SD16—44no—
1041SD16—44no—
1042SD16—44no—
1043C2×C8—21no—
1044C2×C8—21no—
1045C2×C8—21no—
1046C2×C8—21no—
1047C2×C8—21no—
1048C2×C8—21no—
1049C2×C8—21no—
1050C2×C8—21no—
1051C2×C8—21no—
1052C2×C8—21no—
1053C2×C8—21no—
1054C2×C8—21no—
1055C2×C8—21no—
1056C2×C8—21no—
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—44no—
1066C2×C8—44no—
1067C2×C8C22×D412yes—
1068C2×C8C22×D412yes—
1069C4⋊C4—24no—
1070C4⋊C4—24no—
1071C4⋊C4—24no—
1072C4⋊C4—24no—
1073C4⋊C4—24no—
1074C4⋊C4—22no—
1075C4⋊C4—22no—
1076C4⋊C4—21no—
1077C4⋊C4—21no—
1078C4⋊C4—21no—
1079C4⋊C4—21no—
1080C4⋊C4—21no—
1081C4⋊C4—21no—
1082C4⋊C4—21no—
1083C4⋊C4—21no—
1084C4⋊C4—21no—
1085C4⋊C4—21no—
1086C4⋊C4—21no—
1087C4⋊C4—21no—
1088C4⋊C4—21no—
1089C4⋊C4—21no—
1090C4⋊C4—21no—
1091C4⋊C4—21no—
1092C4⋊C4—21no—
1093C4⋊C4—41no—
1094C4⋊C4—41no—
1095C4⋊C4—42no—
1096C4⋊C4—42no—
1097C4⋊C4—42no—
1098C4⋊C4—42no—
1099C4⋊C4—42no—
1100C4⋊C4—42no—
1101C4⋊C4—42no—
1102C4⋊C4—42no—
1103C4⋊C4—42no—
1104C4⋊C4—42no—
1105C4⋊C4—81no—
1106C4⋊C4—81no—
1107C4⋊C4—81no—
1108C4⋊C4—81no—
1109C4⋊C4—81no—
1110C4⋊C4—81no—
1111C4⋊C4—81no—
1112C4⋊C4—81no—
1113C4⋊C4—81no—
1114C4⋊C4C22×D412yes—
1115C4⋊C4C22×D412yes—
1116C4⋊C4C22×D412yes—
1117C4⋊C4C2×#4112yes—
1118C4⋊C4C2×#4112yes—
1119C22⋊C4—24no—
1120C22⋊C4—24no—
1121C22⋊C4—24no—
1122C22⋊C4—24no—
1123C22⋊C4—24no—
1124C22⋊C4—22no—
1125C22⋊C4—22no—
1126C22⋊C4—22no—
1127C22⋊C4—22no—
1128C22⋊C4—24no—
1129C22⋊C4—41no—
1130C22⋊C4—41no—
1131C22⋊C4—41no—
1132C22⋊C4—41no—
1133C22⋊C4—41no—
1134C22⋊C4—41no—
1135C22⋊C4—41no—
1136C22⋊C4—41no—
1137C22⋊C4—42no—
1138C22⋊C4—42no—
1139C22⋊C4—42no—
1140C22⋊C4—42no—
1141C22⋊C4—42no—
1142C22⋊C4—42no—
1143C22⋊C4—42no—
1144C22⋊C4—42no—
1145C22⋊C4—42no—
1146C22⋊C4—42no—
1147C22⋊C4—42no—
1148C22⋊C4—42no—
1149C22⋊C4—81no—
1150C22⋊C4—81no—
1151C22⋊C4—81no—
1152C22⋊C4—81no—
1153C22⋊C4—81no—
1154C22⋊C4—81no—
1155C22⋊C4—81no—
1156C22⋊C4—81no—
1157C22⋊C4—81no—
1158C22⋊C4—81no—
1159C42—24no—
1160C42—21no—
1161C42—21no—
1162C42—21no—
1163C42—21no—
1164C42—21no—
1165C42—21no—
1166C42—21no—
1167C42—21no—
1168C42—42no—
1169C42—42no—
1170C42—42no—
1171C42—42no—
1172C42—42no—
1173C42—42no—
1174C42—42no—
1175C42—42no—
1176C42—81no—
1177C42—81no—
1178C42—81no—
1179C42—81no—
1180C42—81no—
1181C23—21no—
1182C23—21no—
1183C23—21no—
1184C23—21no—
1185C23—21no—
1186C23—21no—
1187C23—21no—
1188C23—21no—
1189C23—21no—
1190C23—21no—
1191C23—21no—
1192C23—21no—
1193C23—21no—
1194C23—21no—
1195C23—21no—
1196C23—21no—
1197C23—21no—
1198C23—21no—
1199C23—22no—
1200C23—44no—
1201C23—44no—
1202C23—44no—
1203C23—41no—
1204C23—41no—
1205C23—41no—
1206C23—41no—
1207C23—41no—
1208C23—41no—
1209C23—41no—
1210C23—41no—
1211C23—41no—
1212C23—41no—
1213C23—41no—
1214C23—41no—
1215C23—41no—
1216C23—82no—
1217C23—82no—
1218C23—82no—
1219C23—82no—
1220C23#52512yes—
1221C23D4212yes—
1222C23#57712yes—
1223C23C23×D411yescharacteristic
1224Q8—22no—
1225Q8—22no—
1226Q8—22no—
1227Q8—22no—
1228Q8—48no—
1229Q8—41no—
1230Q8—41no—
1231Q8—41no—
1232Q8—41no—
1233Q8—41no—
1234Q8—41no—
1235Q8—41no—
1236Q8—41no—
1237D4—22no—
1238D4—22no—
1239D4—41no—
1240D4—41no—
1241D4—41no—
1242D4—41no—
1243D4—41no—
1244D4—41no—
1245D4—84no—
1246D4—84no—
1247D4—84no—
1248D4—162no—
1249D4—162no—
1250D4—162no—
1251D4—162no—
1252D4—162no—
1253C2×C4—21no—
1254C2×C4—21no—
1255C2×C4—21no—
1256C2×C4—21no—
1257C2×C4—22no—
1258C2×C4—22no—
1259C2×C4—22no—
1260C2×C4—22no—
1261C2×C4—22no—
1262C2×C4—22no—
1263C2×C4—22no—
1264C2×C4—22no—
1265C2×C4—21no—
1266C2×C4—21no—
1267C2×C4—21no—
1268C2×C4—21no—
1269C2×C4—21no—
1270C2×C4—21no—
1271C2×C4—21no—
1272C2×C4—21no—
1273C2×C4—21no—
1274C2×C4—21no—
1275C2×C4—21no—
1276C2×C4—21no—
1277C2×C4—22no—
1278C2×C4—22no—
1279C2×C4—22no—
1280C2×C4—22no—
1281C2×C4—21no—
1282C2×C4—22no—
1283C2×C4—22no—
1284C2×C4—21no—
1285C2×C4—21no—
1286C2×C4—21no—
1287C2×C4—21no—
1288C2×C4—22no—
1289C2×C4—21no—
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—44no—
1300C2×C4—44no—
1301C2×C4—44no—
1302C2×C4—48no—
1303C2×C4—41no—
1304C2×C4—41no—
1305C2×C4—41no—
1306C2×C4—41no—
1307C2×C4—41no—
1308C2×C4—41no—
1309C2×C4—41no—
1310C2×C4—41no—
1311C2×C4—41no—
1312C2×C4—41no—
1313C2×C4—41no—
1314C2×C4—41no—
1315C2×C4—41no—
1316C2×C4—41no—
1317C2×C4—41no—
1318C2×C4—41no—
1319C2×C4—41no—
1320C2×C4—41no—
1321C2×C4—41no—
1322C2×C4—41no—
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—84no—
1343C2×C4—84no—
1344C2×C4—84no—
1345C2×C4—84no—
1346C2×C4—162no—
1347C2×C4—162no—
1348C2×C4—162no—
1349C2×C4#52512yes—
1350C2×C4D4212yes—
1351C2×C4C23×D411yescharacteristic
1352C2×C4C22×#4111yescharacteristic
1353C2×C4C22×#4111yescharacteristic
1354C2×C4C2×H(5,𝔽2)11yescharacteristic
1355C2×C4#58511yescharacteristic
1356C2×C4#58511yescharacteristic
1357C8—22no—
1358C8—22no—
1359C8—41no—
1360C8—41no—
1361C8—41no—
1362C8—41no—
1363C8—41no—
1364C8—41no—
1365C22—22no—
1366C22—22no—
1367C22—22no—
1368C22—22no—
1369C22—22no—
1370C22—22no—
1371C22—22no—
1372C22—22no—
1373C22—22no—
1374C22—41no—
1375C22—41no—
1376C22—41no—
1377C22—41no—
1378C22—41no—
1379C22—41no—
1380C22—41no—
1381C22—41no—
1382C22—41no—
1383C22—41no—
1384C22—41no—
1385C22—41no—
1386C22—42no—
1387C22—42no—
1388C22—42no—
1389C22—88no—
1390C22—81no—
1391C22—81no—
1392C22—81no—
1393C22—81no—
1394C22—81no—
1395C22—81no—
1396C22—81no—
1397C22—81no—
1398C22—81no—
1399C22—81no—
1400C22—81no—
1401C22C2×#52511yescharacteristic
1402C22C2×D4211yescharacteristic
1403C22#348511yescharacteristic
1404C22C2×#57711yescharacteristic
1405C22#358411yescharacteristic
1406C22#358411yescharacteristic
1407C22#358611yescharacteristic
1408C4—22no—
1409C4—22no—
1410C4—41no—
1411C4—42no—
1412C4—42no—
1413C4—41no—
1414C4—41no—
1415C4—41no—
1416C4—41no—
1417C4—41no—
1418C4—41no—
1419C4—42no—
1420C4—42no—
1421C4—42no—
1422C4—41no—
1423C4—41no—
1424C4—42no—
1425C4—42no—
1426C4—81no—
1427C4—81no—
1428C4—81no—
1429C4—81no—
1430C4—81no—
1431C4—81no—
1432C4—81no—
1433C4D4×#4111yescharacteristic
1434C4D4×#4111yescharacteristic
1435C4#351311yescharacteristic
1436C4#351311yescharacteristic
1437C2—42no—
1438C2—42no—
1439C2—42no—
1440C2—82no—
1441C2—161no—
1442C2#3609911yescharacteristic
1443C2#6055711yescharacteristic
1444C2#6058211yescharacteristic
1445C2#6105511yescharacteristic
1446C2#6107311yescharacteristic
1447C2#6176311yescharacteristic
1448C2#6177011yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
prime radical#37670C2
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×#3126C2semidirect
2. C2×#3091C2semidirect
4. #34203C2semidirect
5. #33115C2semidirect
6. #33019C2semidirect
7. #32981C2semidirect
8. #28324C2semidirect
9. #28128C2semidirect
10. #26947C2semidirect
11. #26930C2semidirect
12. #26804C2semidirect
13. #26789C2semidirect
14. #26645C2semidirect
15. #26628C2semidirect
16. #26566C2semidirect
17. #26551C2semidirect
18. #26351C2semidirect
19. #26349C2semidirect
20. #25077C2semidirect
21. #25077C2semidirect
22. #24619C2semidirect
23. #24381C2semidirect
24. #24070C2semidirect
25. #23922C2semidirect
26. #23033C2semidirect
27. #23023C2semidirect
28. #22876C2semidirect
29. #22856C2semidirect
30. #22558C2semidirect
31. #21588C2semidirect
49. C2×#479C22semidirect
50. C2×#479C22semidirect
53. C2×#460C22semidirect
54. C2×#460C22semidirect
60. C2×#440C22semidirect
61. C2×#440C22semidirect
62. C2×C4×SD16C22semidirect
63. C2×C4×SD16C22semidirect
110. #2096C22semidirect
111. #2095C22semidirect
112. #2088C22semidirect
113. #2087C22semidirect
114. #2068C22semidirect
115. #2066C22semidirect
116. #2066C22semidirect
117. #2066C22semidirect
118. #2059C22semidirect
119. #2059C22semidirect
120. #2055C22semidirect
121. #2055C22semidirect
122. #2041C22semidirect
123. #2041C22semidirect
126. #2015C22semidirect
127. #2015C22semidirect
134. #1983C22semidirect
135. #1983C22semidirect
136. #1973C22semidirect
137. #1971C22semidirect
138. #1969C22semidirect
139. #1968C22semidirect
140. #1948C22semidirect
141. #1947C22semidirect
142. #1944C22semidirect
143. #1941C22semidirect
144. #1935C22semidirect
145. #1933C22semidirect
146. #1928C22semidirect
147. #1928C22semidirect
148. #1927C22semidirect
149. #1927C22semidirect
150. #1926C22semidirect
151. #1926C22semidirect
152. #1926C22semidirect
153. #1925C22semidirect
158. #1920C22semidirect
159. #1918C22semidirect
162. #1878C22semidirect
163. #1878C22semidirect
164. #1878C22semidirect
165. #1878C22semidirect
166. #1877C22semidirect
167. #1877C22semidirect
177. #1865C22semidirect
178. #1865C22semidirect
179. #1864C22semidirect
180. #1864C22semidirect
181. #1863C22semidirect
182. #1863C22semidirect
183. #1862C22semidirect
184. #1862C22semidirect
198. #1776C22semidirect
199. C4×#106C22semidirect
200. #1762C22semidirect
201. C4×#102C22semidirect
287. #482D4semidirect

Maximal subgroups

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

subgroupindex
C2×#31262
C2×#30912
#376702
#342032
#331152
#330192
#329812
#283242
#281282
#269472
#269302
#268042
#267892
#266452
#266282
#265662
#265512
#263512
#263492
#250772
#246192
#243812
#240702
#239222
#230332
#230232
#228762
#228562
#225582
#215882